2000 2000
.#.###.##.#.#.###..#.#.#...##....##...#..#.#......##.###.##.#..##...##...########.###..#.#..####..######.#......##.#####..#.##.#.#.######.#.##.###.#.....##.......####..##..#.#...##..####..##..##...##..#..#.#.#.#.##...#######.###......###..#..#...#.#.##.##.#.###.#......###.###.###..#..##.#.....#..#.#..#####.###.#.#.#..#.##..#..#..###.....##.#.#.#.#..#.####..#....##.#.##..##.####.#####..#..#..##....###..#...#####..#...#...#....#.....#.##...#.#.#####.##.###.#..#.#####.##.######.#.#..#.##...#....#...#..##.#.###.##.####....##.##...##.....#.#.#....#####.#...##..##....#..###....#..##.##.#.#####..##.####..#..###.##.####.###.##.....#.#.##.###..#.#..#...####..###..####.####.####...#..#.#...#.#..##.#.#.#.###.##..##.#..#.....#...####....#..###.#####...#.###.#..#.#.##.#.#.#.#.###..#.##.#.#...#..##...#####.##.#.##..##.##.........##...#..#.#......#..#####.##....##.##....#.###.....#.#..#...#.#.#....###...###...#######..#...###.#.###.#.##.####.#...######...#.###.#.#...#.......##.#.##..####.#...#.#...#..###.##.#.##......##....#.###.##.......##..##...##.##.#####..#...#....#...###...#..###..#.###....#.#..#..#.#..#.#######.###..#..#.###..##.###.##.###.#.#.#.#.#..###.##.###..#.######.#.###.###..###.###.###.#..#..###....###..#.#.....##.######.##.###.###.####.#.#.####..####.#.#.#.###.#.#.###...##.............#.#.#..##..#.#....#..#.#.....####...##.#...##.#...##.##..###...####..#.#..####..####...##..###..#...#....#...###....#.#..###..##..#####.###...#..###.#....###.#.######.#...###.##......#.##.#...#.#####...###..#..##.###..#####...###########..#.##..###.#.#..#.##..........#.#.#..#....#.#...#..##..#....#..#.#..###.#####..####.#####..#.###..###..##..#....###.###.#..#..#..###.###...#....##..#..#####.###.#.##.##...##..#.##......#..###.#.#..##.##.##..#.##.#.#..##.###..#..###.####.##...#.##.##...#.....#.##.##...####..#....#.#.####..#..#.#...#...##.##.#..####..##########..#..######..#.#...###.#.#.#.#.###.###.#.#.#....##....##..#..#.#.#..#...######.#....#.#.#..#####....#.#.#..##.#.##.##..#.#.......
###....##.#.#..#...####.###.....##.##.###..#.##.##.#......#.#....#.#....##.#...#.##..#.##..#.##.#####....#.#####.......####....#.....#.#..####..#.####.##.##....#.#.........######...##.#.####...##...#.#...#...###.###.#.##......#.#..#..#.##.#.#..#..###..#..#....#.##.......#.##.##.#.####..#..##.....#...#.###.##...#....#......####.#....#.####.#.#.......#..###....##.....########.#####....#.......#...##.#####.....#####..#.##.###..#.#.#.#..#.#########...#.##.#.###..##..#.#......#...##.#.###.###.##.#.##.#....##.#.##.#.##.##.#..###.##.#...#######..###.##.#...#.#.#.....#.#.####.#.#.##...#.#..#..#####..#.##.###..#.#.....##..####.##...##..#.##.#####...###.##...#.#...#.#####...#..#..#..###..#..####.#.##.##...##.#.####..####.##.##..#...####.#.##.......#...#.#####.##.#...###...###........####.####.####.####.##..#.#####..#.##.#.#.#.##.#....#.#.###.##.#...##.#.##...###..#.#....#...##..####.#.####...#..#.###..#..#...###.#.#####.###.##.#.....#.#.##.##.###.#..##.###..##.########....##..#..########.#.###.##..#.#..#.....##..#...###....#.#..###..##..#..#.......#..#.###.#.#.##..#####........#..######..##.#.##.#######.....##.###.#.#.##.#...##.#.#..#.#....#.#..#.####.##.##..##.####....##...#.#####.####...###.#.##.##.###.###..#.#....#..####.##....####.####.##...#....#....##.#..#...##.#.##.#.##.#.#####.#.#####.#.#..##.###..####.###.#..#.##.#.##.#..#.####.#.##..#.##.#.#####.#.##.#...#..###..#.#..######..#.....#..#####..####.######.#.#.####.#.#...####..###.##....#..#...#..###......####..##..#...###.##..#.##.####...##..###.#.....#.#..#.##.#....#.#..#..#.######.##.#..###.#..##..##..#.##..#.###.#...#.####...#.#######.####.#..###.##.#..#..#####.#.##...#..#..#####...#.#.....#####.#.##.######.#..#.#.####.....######.##.....####...#.#######.#.#.######.#..#######.#..##..#..#..#.#.#.#.....##........####..##.#..#.#..#.#.....#.##..##.##.#####...####...#..#..#.#.#.##.######.####.##.#.....#..#.#..#...#.#..#..#.#.#...#.......#.#####...#....#######..#..###.##..##.##..#.##...#....#..#..#...###.##..##.#.#.#####..
.#..#.#...##..##.##.##.####....##..#..#.#.#.##.......##.#######.#.###...#..#########.#...#..#..###...##.###..#.#.#..#..##.##..#.####....##.######.##..#...#.##....#..#.####.#.##.###.##.##.###.#..#.####.....##..#.####...#..###.#...#.#..#####.#.##.#.#..##...#.#..#...#.####..#.##..##...##....##.######.######.####.###.#..####.##...#####....#..#...###.#..#.#.###.###.#...#...##.#.#.#.#.##.##.#####....##.##.#..#..#.##.....##.#...#####..#.##..##.####.#####...#.###.#.#.##..##..###..##..#.###...###.##....##..#.#.#.##.#.#.##.##.#####..##.##.####..########.#..#.#...#.#####..##..##.#..##......###.##..##.#########....#......##.##.#.#..#.##.#####.#.#.###..#....#..#.#.#....########.#.###########.#.....#.#########.###.####.###.#####.##..#...##.#..#......##.........#.##.#.#######..#....#....#.##.#.##..##..#..##...#..#.######..#.#.#.#.#.#.#.##.###.##.###.######.#.#.######.......#...####.#..##...#.#.##.#.#.##...####.#.#.####......#.#...#....####..##..#.#..###..#.#.##..#...##..#.#.#.#..#..##.##.#.#.#...##.#.#.#.....#....#######....#.#.#...##.#.##.######....#.###.........#...###.#.#.#....##.#####....#.#..#....#...##.##.#.#.#.###..#.#######...#....#...##.#.##..#..##...#....#####.##.######...#....#..#..#..#..##.#..#......#..#..#.#...##...#.#..#.#....#..##.....#.#..#.######...###.#.#.#.#.#.#.##.#..#.#.#.#.#.######.##.##..#.#.##.#.#..##.###.###.##.#####..#.###.#.#....#.#...##.....##.###.####.#....#.#..####...##...#.##.###.#....#.#.####..#....#....#.#.#..#.....##...###..####.........#.##.#..#.#.#.##.###.#.#.#..#..#.##.....##.#..#.##.###..##.###..#..##..#..#.......#.##....##...#.....##.#.##.##....#...##...#.##..##.###.#....##...#..#.####..##...####.#..##.#.####..###.#.#..#.#..##.#..###.#.###.#....#.#.#...#..####...#..#.######..########...##...####.#..##.....#..#.#.#..#..#..##...#.#......##.###.##..###.####.#.##.#..#...#..##.#.....##.#.#.##...########.....##########..#....#..####...##.#..###.#..###.....#.##..##...##.#.##...###.##...###.##.######..#.##.#.####.....#..###..#####..###.####.#.##.#.#.
#####.#.....#.##...###.###.####.##....##.####..#.#.#...##.#...#..#...#....###.##.##.##..##..##...#####..#.#...####.####...##.#..###.#####..####..#####...##.######.#.##..#.#.##..#.###...##......##....##.##.#####.#..##..#.##.#..##.#.#...###.##....#.#..#.....#.###...##..#...##..#.###.#.#..#.#......#.#....#...#.##........#...####.#..#.##.#######.##.##.###.####.#.#..#..##.##.####..#..####..#######.....#.##...##...#.......#####...####.#..###.#.###.###..#..#..###.###..###.....##.#.#.#.##.#....#.##..............###.##..##.###.#..####...#.#..###...####........##..#.##.#...#...#####.....##.#..#.##..######.....###....#.##...#.##..##.#.###.....#...##.#..#.######..##.###..#.###.#....###..#....##.#####....#.##.#...#####.##.#....#......#.#..##....##..#.#..#..###.#.#..##.####.#..##...###.##...##..#.###...#.##.##.###.##.....##..##..######.#..#.#..###..##..#..#.##..#.##.#.#..#########..#..######..#.###..##.###.####.##....###..#.#####.....#.#.#.##.#...#.##.##.#####..#.......#..#.#.#.###.#.##.##...##..##..#.#.#..##..#..###.##..###...#..##..###.##..######..#.####.###.##.#.#.##..#.##..#.#..#####.....##..##...#.#.#.##...#.####.######.#####....####......#....#.####..##..##..#.###..#....##...######.#........#.###.#####.##.##...##..#..##.####..#.###..##......#...#.#.#.#.###...#.#.########.#...#.######..###....#....###...##.#.....#...#.#...#.###.###....##....#........#...#.#.###.##..#.##.###..####.####..##......#..####.#.#........#.###.###.##.#...##.#######.#.#...##.##..##...##..###..######.#..#..#.#.##.##.###...#..#...###.....#..##.###.#####.###..##.#....###..###..##..#.###.#..##.#..##.#.#.#.##.##..##.##.##.###.####.#..#...##...#.##..###.#.#.#####....###.####..####...####......##.#.#...##.....#.#.##...#....####.######....#.#.##..#####.....##..##..###....#..#.##.#..#.####.######....#.#.####...#.#..###.##...###.###.....#..#...###.....##.#.##..#..#..####...#.#..#.....#...#.####......#####.##.###.##..##.##.#########..###.##..#....#.#..###.#.#.#...##.###.#...#..#.....#............###..###...#.###
.#...#.##..##.##.####..#####.#..###.##...###.####.##...##..###.#.#......##..#..#.##.###.#.#..##.##.#.#...#..#..#..###.#..#.....##..#....#.#......#..###....####.#..#.#.#..##.#.##.....#.##.#.#..##.#.###.#######.#####.#####.#..#.#####..###.##.#..#..##########..##..####..#...###.#....#####.####.#....#.####....#...###....#.......##..####..#.###.......#.#.####.##.#....#.#.###.#.#...#.#.##.#.#.#.#####..#.#.#........###..##.###..###.#.###...#.###.......##.#...#..#..##...#.#.###...#.##.####...###.###.##...#...#..#..###...##...#.##..#.#.#.........#.#.###.##..##.###.#..#..#.####.##.#..##......#.##.###..#.#.#.####..#.......#..##..#..###.##..#..##.##..##.#..#..##.#..#......#..#.#..###.###..###.#.....#....#.###.####.##.##.######.#...###..#..###....##.#.#####.#....#..#.#.#...#..###.......##.#####.#.########.####.###....#....#.##.#.##....##.....#..###.###..#.###..#.##.#..#..###.###.......#####.##...##.#.#..##...#...#..#.#..#....#.#....#.######...##.##...###...#....####.##..###.##.##.........##.#.#..###.#...###....##.##.####..#..#...#..###.###..##..########...###..#.#..#.#.#..#..#.#..#..#..#.##..###..#.#...##..#.###.#.###....#.##.#.....#..#..#...###.##.##.#####..##.###.##.#.###......#.#...#..#.#####.....##...##.#######.#.##..##...##.##.#....##....##.####...##..#...#####.#.#....##.##.##...###..####..#.#.###.#.....###.##..####.#..##..##.###.##..######.###.##.##.#.##..#.#..#.#......##...##.#.###.#....#.#.#.##..#.####......####.#.##...#...#.....#.####.##..##.####..##..##..#..###.#..##...##.#####.#....###.#.##..##.......#.##..#######.##.#######.....#....##...##.#..#..###..#.##..##.##.###.##.##.#####..##..##.#.###.##...#.#.##......#.#.#####.##.#.#..##..#.#...#..#.###....#.#......#.#...#.#...##..##.#.#.##...#..#..#..##.#.##.#..##.###.#...###.##.#..#.#...##...####.###..#.......#.#.#...##.#####....#.#.########.###..####.###.##.##.#....#.#.#.##.###.#......##....##.#...#####..#.##.#.#####.##...#.#.##.#.#...#...##............###.#...##.#.####...#.##.##..#.#####.##.....##....#....##..#.#.#.#..##
.#.#.###..#.#.##..###.##.#.##.#...#.#.####......#.####........#.####.###.#..#.#.##...###.######..##.#.#.#.#####...#.###..#..####..#.#.##.#.#.#....#..#.##...##..###....#......#.#.#####......##....###.#..#.#.##..###...#.#.####..#.###..#........#####.#.#.###..#....###..###..##...#..#..###.#.#.##...##.##...##.#..##.#####.#.#######.##....#...#.#.#.#..#.#.#..#.###....#.#.#...##.#..##..#.##..#.##.##.##.#..##.##.#..#..###.#..######....##..###....##.#####.##.#..#..##........#...###....##.##.#.#..##.#..#..#.###.###.###..#####..#..##...#####.#.#.....#..#...#...#..##..##.#.##..####.#...##.#..##.#####...#.#...###.#........###.#..#..###...#.##...##.##.##..#####.#.##.##..#.###...#.##..####.##..#..##.#....####..####.#.##..#....#...#......#..#..#.#..##...##....#..#.#.#...#..##.##.#.#..##.###.######...#.#....###....#...#####..#...##...##..#.###......#####.....#.##....#..###...#########.##.#.....######.##.#..#######..##.######.####.#.##...####.####.##...#....####.#.#...##.#..######.####..#..#...##..###..####.#.#########.#..#.########..##.#........###....##...####....##.....#####..###.#.#.##.##..##.#..#####.#..########.###........###...##.###.####....######...##.....###....##....#####..#...##....#.#..##..##.....###.#..#####..#.........#....#..##.##.##.##.#...##.#..#.#######..##..#.#.....#.####.#...###.#..#...#...##..#.#..#..####.#..#..#####....#.####..#.#...##.###.######..######.#....#####..##.##.#..#...###.##.###..#..#..#..#......##..#.####.#.#..#..#.##..##....#..##......##..#....###.#.#####......##..#.####.##.....#...#..###..####..#######........#..#.#..####..##...##########.##..###..#..#...#..###.###......#.#......#.###.#...#..#..#..#...#..#.#.....###..#....##.#...#..###.#.#########.###.#...#.#.#.#..###..##...##...####.#..#.....#.#..#.###...####.##.#.#...##.##...##.#.#####..#..##.#.#.#..#.##...#..#####..#.#.#..##.##.###...###.###..####.##..#..#...##.#...#..##...#.#..###.###.##...#.....###..######.#.#..###........#.#......#.#...###.#.#.....#..#######....###...##.#.##.#.#..####.####..
.#.#.#####..#.#..##.#..##.#####..#....#.#....#.###.#.##.###.#..#...#.#..#####.#.###...###.#..#.....#####...##..#..#.#..##.##.#.#....#.#..##..#.###.##.###.###.###.#.##..#.##.####.#.#....####.#.##.####....#...##.#...##..#.####...#.##..#.###..###.#....##.#...#..#..##....#.##..##.##.###.#.#...##.##...#.....##....####.#.##.##..###.#.##..###.#.#..#.###..#.##.#...##.##.#.###..#..#...###.##.##...###.#....#...#.#####.#..###.###..##..###.#..#...##..##.##.###..#..##.#.#.#.#.#...#.#..###.#..##..##.##.####..##.#.###.####.##......####....###.##.#####.##.#...##.#...##....##..#.######...#.#....##.#...##...#.##.#.###.....##..###.####..##...##..###....#.#.......###...##.....#.#..#...#..#...##..#.....#..####...#.#.#.###....####...##..#..#...##.#....##.#.#.###.#.##...###...#.#.##..###.#..##.#####...##.###.##.#.##.####....#.########.#####.###..#.######.##...#.#..##.#....#...#.#######..##.##.#####...#####.#.######.....#.#....######.#.#....#####..###.##..###.##.#.##.##..##.....##.##...#.#..########.#..##..##.##..##.#.....###..##.####.#..#.##......#..#.#.##...##..##.#.#.#.##..#..####..###...##.#....#######....#..###.#.##.####..######.###.#.#.#...##.####.##.####.#####..#.#..#....#..#..##..##.#..#..##.#..##.#.##..##...#.#.####.####.###..#....##.###.##....#........##..###..##.##..#######...#.....###.#..###.......####.##.#.#.....#.###..####.#..#####.###...##.#.#....#..##...###..#.##...#....#.##.#.###.##..#.#..######.##.....#.#..#.#..#.##.##.###..#.##.#...###.##.#.##.#...####..#########.#...###.#.#.#.####.....#.....###..####..###...#....#..###.##..#.##.##.#.##..#.###.#.###.###.###.###.#.###..#...###.#####...#..##.#...##.#...##.#...####..#..#...##.#..##..#..#.#.#.##...#.#.#####..##.#####.####.#..#..####..###..#.#...######....##..##.##.#.#......#..#####.##...###.#.##..#..######.......####.##.##.##.#.#..##....##.#....#.##....###...###....###...#.#.#............###..##.#.##..##...##..#...#.#...##.##.#.#....#....#.##.....##..#........#...#####.##..#.#.#.####.#..#....#.#######...##..#..#.##..#..#.#.#
.#..####..##..#.#.#..#...#.#.#.....##.#.#.#.#....#..###.##.#.#..#.##.###.##.####.....#.#.###.###.#.######.#...####.#.....####.##...#####..#..#.#...##..##.#..##...####.#.#..#.#..##.#..###...#######...#.#.##.....##.....#.....#.#........##.#....#......#####..#..#..#.#.##..##.#.#..#.###.####.#..#..#..##..#..#...#.##.#.#..#....#.###.....#.#...#..###.#....######.#.##..#.###....#..##..#....#.##.##..#....##...#.##.##.####..#.##....#..#...##...###..######.#...#.#.###....#...##..##.#...###.###..#..#....##..#...###...#.#..##....#####.#..#.#.###..#.##.#......#....###..#####..###...#..#...###.#.#####.#...#.#..#.###..#..#.....#..###...#.###.#.#...#.....#.#.#...##......#..#.##...#..#####.######.#.#..####.##.....###..##..####..####.#.####.#.#..#..##.####.#....#..#.#...##.#.##.###.##..#.#.####...##...#..#.##.##..#..#....#.#####.######.#####.##.........###....###.###....#.#.....#.#.##.#.#.##...###########..###.##.##...###..#...#..##.##.#..#.##.#..#...#.#..#....#....###.##.#..#.######.###.##..#.....#####.#..#...#.##.#.###...#..#.#..##.#....##.###.##.....#.......###..###.#..#.#.#...#.##.#...####...##..###.##..###..###.#.#..##....#.#.#.##....#..##.#######.####.#.##..#.#.#..#####..#..##.#.#..#...##.#.##...#.##..##.#....#.###.#...##.####.##.#..###.....#..#...#...#.###..#...#...#.....#.#..#.##..##.##.#####..##..#...##.####.#.###...#....####.#...##..##.#..##..##.##.#.......#...#....#...#.###...#.#.#......##.##.##....#..###..##.####.######.##.#.#.#..#.#.####.####...#...#..#.#.#..#.#...#######..#.#..#....##...#....###..####...#....##...#####..#.#.###...#.#.###..#....##.##.####.#.##..#...#.#......##..#..#.#.#..#..#.#.#.###......##.#.#.##.#.#.......#.###..#..#...####.#...##.##...#..####.........##.##...###.##.#....#.#.#..#.#.#.#......##.#....####.#..#..#.#....#..#..####.#.#.###..#..#...#..#..#..#..##...#..#..###.####....#...##.##......###..#.#....#....#...#.##..#.##..##..##.###.####......#.#...#.#.#.####.#..###.........####....##...##.#.#.....####...#.#..#...#####..#..#.###...#######..##..#..#.
.###..##.#.####.##.#....##.##.#.#....######.###..#...#.##.##.#...##.....#...##.#.....#.#....#....#...#.#...#...###...##...#.#..####.#.#...#..#...#.#.#.##.##...#..#..#......###..#.#...##..#..###..##.#######..#..#..#.#.##....#..#..........#.###.##...#.#.#..#.##..###.##....#......##.##......#....##########.#.#.###..##.##.....#.#....##...........#.######...#..#......#.####.##.#.####.##.####...#...#..##.##.#.#....#..###...###....#.#.###.......##.#..###.#....#..#.....#...#.###..#.##..#.##...#.##.....####.##..####.##.###.#.###.###.###..#..#.####.####.#.##...#.###..#.#.####.....##..#.###.###.#...##.#.#.#.####......##..#..##.#..##..#..#.#.#######...#.#..#.......#....#...###.######.####..#.##.#.#..##.#####...#######.#.....##.######..#.##.##.#...#..#.#.##.#..#..#####..#..#.#.#.#..###....#..##....##...#...###....###....#.#...####.#.....##.#..##.###..##.##.##.##..###.##.#..#...#....#.#..#.######.####....#..##.#####...##.##.#..###..#...##.###...##..####.####.....##...###..##....#####.......##..#.#...##........#...##......#.#...#..#..#..###....##.##..###...#..#.#...#.###.##...##.##.#.##...#..##...#.##..####.#.#.#..##..#...#...#.#..####.....##.#.#.#.#.......####..####....#...##.####.#....#..#######.####..####.###....######.#.##.##..##..#..#.##.#..###.#..##..#.#.......#.#.#.####.##.#..#..###......#.#.###..####....#..##.#.#..##.#.###.####.####..#.#.##..####...#.....#.###.##..###.........#..##........#.##...#.#....#.##...##.###.#...#####.####....#.#.##.#..########.##..####.##.##.##.##....#..#..####.#.#.#..####....##.#.##..#...#..#.#.....###........#.#.#####.##..##.###.#########..###.#.#.#####.######...##..######.#..######..#.##..#.###..#.#.#..#.#...#..###..##....#.###..##.#.#.###.#.#.####..#..#.####.#..#.####.#.###.#..##..##.#####.######.#...#.#....####.##.#...#.#.####.#####.######.#...###..##.###..##.#####.....#.######..#####.#...#.#..##...######.###.#....##..##....##.....#.#..#.#....##..#####..##....#..#..##..##.##.#..#.#.#.##.###....##.#..#..##.#.####.#.#.#...####.#.##.#.##...####.
###.###.#..###.##.###.#..##..#....#...#...#....#.#.##....###...##.#########.#.#.#...###.##.......#.####...#..#####..##.##.##.....##.#...##.#.#..#..#..#.####.#..###..###..######.#.#.#.#...##...##..######.##.###..###.#...###.###..##..#..##.###.##.##.#####.#.####.##..##.#.##.###.##...##...##.#..#.##..#.##...##....#...#.#..####..##.##.#...##.###.##.#..#.....###.#...###.###..#...###.##..#.....#.###....#.##...###.#..#.##.###.##.#####...#..##...###.#...#..##...##...#####.##.#######.##.....#.##.##..#..##.#.........#....###...###.#..#.#####.##..####.######..##..##.##.#.##.#..###..###...####.#..#..#.######.#....###.##.##...##..#.#.####...####.#.#.#.#####..#..#..#.#...#.####..###.#...#...###..#.#.##.#..##.#####...######.#..##.##.....##.##...######..#..######....#.###...#.#....#.#.#.......#...#....##.#..#.#.###.##.##...#.........##.#.#.##.###....#.#.#.#..##...###..#.#..###..#...#..##...#.#..###.###..#..#...#.###.#.###.##.##..#....##.#.#..#..#.###.##.#...##.##.###....##.###...###.##.......###...###....##.#...##.######.##.#....#..#..##.####.#.#.##...##...#.####....##........#.#######..##.#..#..#......##.####..####...##.###.#..####.##.#....#...##..######.#.##.#.###.#.#.#.#..#.###..#.....###....#.########..#.##.#####.....#..#.#...####...###.#.##..###..###.....#..###....#.#...#..#.#.###..##.##.####...#.#..##.#.#.#..###..#..#.##...#..####.###..#..###..#.##.######.##.###....####.#...#####.###.#.#..######.#..##.#.#.##..##.##....#.##.#####..#.##.#..#...#.##...#...#.....###..#.#......##.####.....#.#..#.#######.....###.###..#...##..###.....#.#####..#..#..#.#.##.#.#..#.####.##..##..##...###..#.#...#..#.##...#..#.#..#####..##.##.#...#####..####.#####.#.##.###.##...#####.#.##..#.#..#.##..#.####.#.###.##.#.#.##..#..#....##.#.#........#..###..##..#.#####..##..#..#..##..#.#..##.#..#..##..#.##...#.#.#....##..#.#..#.#####..###.##.####.####..#..########..#.#.#.#.###..#..#.##.#.#....###...####.#..#.#...#.#.......#.##....##.#.##.#...#.###...#.##..#..###...#..###..##.#....#####.######.#######.#..##..
###.#####.####.###..##.....#.##.##..##.......#..#.#..####.##.#..###.##.##.#.#.#..####...#.##.###..#######.#.....##.....#...#######.##.####.#.##.####.####..#....#.#..#...##....#.##.######..##..#.#.##..#.#.##.#..###.#####...#####.#......####.#.##.#.##..##..#.###.##....#....####.#.#..##...###...##....#.##....###....#..#...###.####.#####....#..##.##.#..#..##..##.##.###.######..###..##.#.#...#........####.##..##..#.#...##..#.##...#.#..##.#...#.....#.#.#.###...#.#.#...####..####..#.####.##..#####..##########..#..##...#.....#..####.#..#.##.##...#..##.##..#.#.##.#.#####..#...#.#..##..#.##.#.#####.#..##....##..##..#...#..###.#####...#..#.....###.#.##.###....#..##.#..##.###.#....##..######.#..###.##.###..##....##.#..#.#.......#.#.##.#.#.##...#.##.#.##...###..#...##.#.#...###..#....#..##.#....#..#.##...#.##.##.#...#..#.#####..###..####.#.###.##....###.#..##....###..#...######...##..#....####.###..##.##.###....#......#......###...#..#..#.######.##.##......#..###..##..#.#..#.#####.##.##....#..###..#####.#.#######......##.###.####.#.########.####..##...#.#.##.#.....#...#.###.###.####...#...#.##....##..####.#.#...####.##..#...###.#..##.##.###.#...#..#.###.#....#...###.#.#...###.#.##...###...#.##..##.#.##.#...##.#.##.###.##.....###..##.###...#.#..#####.#.#.....####.#.##......#####..#......#.#.##.#..####...#.#.#.#.###.####..#....#######.#..#.###.#.##....##.###.#.###..#.####...#..#..##.#.###..#####...##...####.##.##....##.####..#.###..##.##..####.#.###....##.##.###.....##.#...#.###..##.#.###..#######.##...#.#.#.#.####.#.....#.#.....#....#..#####.##..#.#....##.####.##......#####.#..#.#.#.###...#...####.....#..#..###....#..#.#.#.###.#.##..#.##.#..#....###.....####.....##.#..#..###.##.#..##.#.#####...#.#...####.####....#.####.##..##.#..#.#.#..###..#...##.#...###..##..###..#....##...#.####.######..#.##.##.###.######.#.#.##.#.###..#.#..#....#.####..#.##..#.#.##.##..###..#.##.##..##.#.####.####.##.#..#.#.#######.#.##.##....#.####.#.....##.##.#.#.##.#..#..#.#.##..##.#..####.####.#.#.....##.
..#.##.####.###...#..#.###.##.#..#..#..##.##.##..#.#.##.##....###.#..####.###...###...#.#.....###..#.#.######..##........#.##...#####..###.#.#..#..###.##.#....#....###.###..###.##...####.#.#.###...#..##.#..#..#.#.#####....#..#..##..###.#.####..##..#..#####.#.#..#..#.##.....###.##..#.#..#####.#####.#####..#.....####.####.#.#....#.....#.#..#.##....####......#.##.###.#.#.#.##.#..#.#.##.###.###..#.#.#...#.#####.#...#......#####.###.####.####...#..#.###.#.####.####..#.#####...##.##.##....#.###.#.####.#..##.#.....##.###.#####......#.#...#.#.#..###..##.####.####..####.####.#.#.####.#...##..##.####.#..#...#....#..#.#....#######......#####.#..######.#.#.#####.#.#...#.#..##.#.#.####.##..#....#....####...###..#.###.....#.#......###.#...#...#..#...#...###....#..##..##.###.###.#..####..#.#####.#...##..####..##.#.##.#.#.#####.#####..###......#..#.#.#...#.##..#.##.#.####.##.###...#.##.##.....#..###.#.......#####.##.######....##..##.#.#..###....#..####.#..#.#.#...#.#.##.....###.####....########..#...#####.##.######.###.#.#..##..#..#.#.##.##.####.#..#...#.#.##.#.#######..#.####.......##.###.#.#.###....#.##.##...#...#.#.....#....###.#..#..#.#.#...##.##...####.#.####..#..#.....#...#......#.######....#.##.######.###.##.###..#.#.#..#####...#.#.#....####.#####..#..#...###...#...##.#.....##.##.##....#.###..##....#.#....##.##.#####...#.##.##..##...##.##....###..#.#.##..#...#.##..#.#.#..##.##.....#.####...####...##.#####.#...###.#...#####..#.##.##..#..##.#...#..##.##.#.#######.#..##.#.##.###.####.##..##.#.##.#.#####.....##.#...#.#..###.#.....#...#######.#######.####.#.#..##.#..###.........#.....##.##....##.###.###.#...#...####..#..#..#...##..#.#.##.#.##..#.###...##.#.#.#..#.#.####.#.##.##.##...#######...##...###.##.#.##.##.#...##.##..##.###....#.#..##...#.#...#####....##..######....#.......##.#.####..#......##.#..###..#.....#########.#.#..#..####.##...##...#...##.#...#.##.#.#.#...#.#..#.####...#...#.####.###.#.###.#.#...#.#.#.#...###.#.###......#.#........###..#.#.###.#.#.###.#.#######.##.#
.#.......########.####.##.....###....#.#####.#.#..###.#.#..#.....#..####.#.#.#...#.#.#..##########..##......##.#...########.######.#.#.#.#..###...#.####....#..##.#.....#.##.....#####..#.##..#...####.##...#....#....##...#..#.#.#..#.##.....#...###..#...#.###..#..#...###...###...#.#####..##.#####..#####.####.###.##.###..##.####..#.###.#...##.###..#####.#.###.#.#..##.#...##.##.#.#..#.#.#.#.####.#.#....#...#.#######..##....#.#..#.#.#.####.#...#...#..#..#.#.#.....#...#.#.#.#.##....###....##...###..#..#.#..###.#...###.###..##.#...#.#.####.#..##.#.#.##.#.##..#..#.#...##..#.###.##.#.#.##.#.....#.#..##.##..#.####.##.#..#.##.#..#..#.#..#.#.#....##.#.##.##.#####..##.####..###....#####.##..#####......###.#.#..##.#.#..####.#....#.##...#####.####..##..##.#.#.##.##...##....#...#.##.##.##.###..#..#.#.#.#.########..#.#.##...#...#..##.##.##..#..###.###...#.#.#.###....###.#.#.#.#.#.##..#####...#..#..#.#.###.##..###.#....#...###.##.#.....#####..####..#..#..##.#####.#..#..#....##..##..##.#..###..#####.###.#....#.#.#.#.#......#..##.#..#.##...##.#.##....##.##.########.##.##.##.#####.#.#..#..#.######....#.....##.##..........#...#.##...##.##....#..#.#.#.##.###.#.#....#.####...##..#.#.#..###..###.###...#######.###.#.#.....########.....#.#..#..####.##....#...#.#.#....#.###.#.#.#...#.#..##...#..#.####..#.....#.#....#.#..#...####.#.###..#.##..###.###.##.#.#.#..###.....#.####.##..........#..##..##..#.#.#.#.##.....##.##...########..###...##.##...###.##..###.#.#..##...#####..##.##...###.#####...#..#...####....#.##..#.###..#....#.###.#.##.#.#..#..#..##.#..#...##......##..#.#...#...#..#.##.####.#..#...##...#.#..#.#.##..#.#..#######.###...#..##..#....#..##.#.#.###.###.#.#...#.#.#.#....#######.##.#####..##.##...##..###.####..#..#...#.#...#.#.##..######..##.##.##.#.#.#######.#.#...#.....##.###.#.##..####.#..#..#..#...##...###.####.#.#...#.#......##.#.#.#####.#..#...####.########..###..###.#..##..#.#.#.#.#..##..###..#..#.#.##...#.##.....###.####.....##.#..##.#########.#####...#.####.####.....##.#.###.##.
.#.......##...##.#..#.#.#...#.#...##.###.##.##...##.....#..###.....#.#######..#.##.....#...#.#...###.##....###.#.#.#...#.#.###.....#.#.#...#.....#.#...####.#...#......#.##.####.....###..#.#.##..###...#...##.#...#..####.#.#..#.###.##.###.#.....##.#.#.##.#.###.#.#.#.#......#..#.##.###.#.##.#####......#..###...##...#..##.##....######.###.#..#......##..##.##..#....####..#..##.#.##.##..##..###..#..#.....##.#..#..##....####...#..#.##.#.#..####.#.........##.#..#...##..#.#.#.#.#.##.#.##..##.#..###...##.....##.##.#.#.##....#.####..#.#.#.....#.###..###.#.##....##.##..####.#.##.#......#..#..##.###..##.##...#....#.#.#######..###..#.##.###..##.###.#.##...###########.##....#######..##.#.....#.##......##....#.#.......##.#.##.#.#.##..###.#.....##......##..#....#######..#######.#.##..##..#.#.##.#.##.#..##..#..#.#..##.##.###.#....#.#.##.#.##.#.#.#####......#..#.##...#..#.#..#.#.####.##..#....#....#######....##.##..#..###.#.#.#....#..##.##...##..#...#.#.#..####.....#..#..##......#.########..#..#..#.###.#######.##..###.#...###.#.......##.#...#..#..###.####.#..#.####.#.#..#..####..#...##.###.##..#....#...#.#....#.#..####..####..##....#....####.#.#.####..#....#.#...#.#.###.....##.##..#...#.####..###......####..###.#.#...###..###.##...##.#...##.#.#..#.#...#.####.##..##..#.#..##.#...####..###...#.###.####.##..##.#.######.###..##.#....#..##..##.####.##.#..##.####.........###..#...#.##..#.#######.#.##.###.####.####.##.#...##.#...#....######.#.....##..#####.#.#.#.#.###...#.....#....#.##.#.####.####..#.....#.######..###..##..#...#.#....#...#....#....##.....###.#.###.#.#..#.......######.#..#.....#.#..#.#.#.##.#..#.#.##..##.#...#..##..##.##......#####.#####...#...##.#..##..#.#.#.#..##..###.#####.###..##..##..##.##...###.#..####....##...##.##....####....####....##.#.#..#.##...##...##..##.##.#..#..#.##.#.#.#..##.#.#####.##.......#.#..##.##.#...#.....#.#####...##...##.#....########..##.##...#.......#..##.##.##...###.##.#.##.#.#####..##.#...###.#......#######..#....#.#...#.#..##.##.#.#...##..#..#..#
###...####.#........##.###.##..##..#.#.##..##..#####..#.#....#...#...#####.#.###.####.#..#...####.##..#.###.#..###..#.##...########..#.######.#...#.#.##.....#..#.#.#.##........##..#.#..##.#..###..###.#.##.###.##....#....#......#..#.###.##......###..####.###########...##....####.....#...#.######..####.###..#...###..##.#####.#..#.##..#.#.####.##..###...######....###....#...#......#..######.########.##.####.......#.....#####.#.#.#.###...#.#..###.#....##.#####...##..#...#...########..#.##....####..##..#.#..###.#..#.....#.##...#..##..#..###..#####...#...###...##.#...##..##...###.#.#..####.#..#...##.#.#.#.#.#......####.#....###.##.#.##...#..##....###.#.###...##.##.##...####.#.##.#.#..#.##..####..##..........#######.####.#.####.#.#.##....####.#.###.######..#.#.#..###.#.####.#.##.#.###.##.##.#..#..#..#..##.###.#..#...#.#.#.##..#..##....#.######...#.#.#.###..##...#....##.#.#...####.#.#..#....#...#..##..#.....#.#.####.....###..##.#.#...#.##....#....#..#.##..#..##.###..#.#..###.....######..#..##.######..#.#.##.####.##..###.###..#.#####.##..######.###.......####..#.##...###.#...#..###.###.#.....#######....####..####...##..#..####.#.#..##.#.#.#.......#.#..#..#...#..###...#.#.##.##.##..#.##..#...#..#...#.#.##..#..#####.#.###.###.###.#.#..#..###.#..###...##.##.#.....##..###.#....##.#.#.##.#..#.###.....##..#.#...#.##.#..##########....####.###.....###.###.##....##.#.#.#.#..##.......##.###.####..#.####.#.#..#....##.#.###.#.###.#.#..#.###.#..##.#..#...##...##...#####......##....#.###..#.##.#.##.##.#.#..##..#.#..###.#...###..#..#.#.##.#..##.#.#....###.######......##.##.#...#.####..#.#.#.#..#.###.#.#..#...##..###....##..##......#..##.###.##.##..##.#####.##..#.......##..###...#####.##..#....#.##...###..##.##.#.#........####..#.#######.....###.#....####.######..####.#..####.##.###.#.##.##.##.#...##.#..#.##.###....#..#....##..#.##.#...#########..##..#.##..#....#.#.##..#.#.#.######..#..#...#.##..###.#..##..##..#...##.#.#.##...##...##..#.#.##.######.#...#..##..##..###.##..##.##.##.#.##.##..#
.###..#.#..#..#..#.##.....##.##.##..##.#.##.##..#.#.#.....#####...#.#.#####.#.#...##..#####.#.####.##.#...##.#..#.#..##.##..######...##...#.#.##......#.###..#.##...###.#####.#........##.....####...#.###..##.#..#.##...##.#.#...#....##...#.#.#..##.##.#.##.##..##..#.#...##..#.##.#.#..####...#..##.#.......#######..###.#...#.....#..#.#..####.##.#....#.....#######..#...##.......#..##.#..########.#....#.#...#.##.#....#.....###..#.#..###.###....#..#.#..#####.#...#..##.##....##..###.###....##.####.##.#..##.#.#.##.#..##..##.#####.#...#####..###.#.###...#####......#...##..#..####.#####..####.########.#.#..##.....###.#...#.....##..##....#..#.###.#...#.....##.......##...##.#....#.##...####.#.###.#...##...#.#####..#..#.###.##...##.#..#.#.#.....#.###...#..##..#..####.##.#.###..#..#..###.##..#.##...#...#...#.##.#..##..#..##.##.....#####..#...##..###.##.##..##..........##.###...#...####..#.#...##....#..#....###....#####.##..###.....##.#.#.#..##...###..#..###.#..#.##.#.##......#.#...#.#.#.###.##...#.#####.#..#.##.#...#..#######.#.#......#..#.#.#.#.######.##.##.##..#.....#.##.####...#.#.#.#..##.#.#..##.#...#####.....#.##.#.#...#....####..#.#.##.###.##..#.#...#..#.#.##.#...####..###..#..#..##..#.###..#..######..#.#.###.#.###...##..#####...#.##.#####..###.#.....##..##..#######.####.#...#..#.#.##.....#####...#..#.##..#####...#.#..#.###..#..#.###.#.#..###..#.#...###...####.##.#...#####...#.#..###....#####.#.##.###.#####...#####..#.##.#.#.#.#..#..##..#...#.#..#####..####..###..###...###..#..##..##..#...#..#...#.###.###.#.###...#.##...####..######..##.#.#.##.#####.#.#.###.##.#.#.##....##..........####.....##.#.##..#....###.#..##.#..#.##.#.###...#.#...#.#..#..#...#..##..#....###...#.#..##.#####.....#.#####...##.##...#...#.###...#.#..###..###..###.###.##..###.##.#.#.#.#..#....##.#.##....#..##..##...#...#.##..#.##..###.#...#..##.#..#.#.#....##...#.##..#.#..#.#.#.##.#.###.##......#.##..#..#........#.#....#...#...##..##.##.##.#...#.#.#......##.####.####..#.##.#####..#.#.#..#.#.#.##...##..####..#
#.#####..#####..#.#.###.....#..##.#.#####..#.....#.#######..###..###.##.###.#..###.#......###....#.....#.#.#.#.#.###.#.##........#..#.######.##.#..#...#..##..#.#...#.##......#.#....##...#######..#.#.#.#....#..#.###.#......#.#.##.#..##...####..#.###...####...#....#.....####.......##...##.#.#.######.#..#..##..########.#.#.#####...#.#..#.##..#....##..##..#..##.###.#####.##......#.#..###.#....##....#.#......##....##.......##..#.##..#.##..#...##....##.##.###..#......####...#..#.#.#..###.##..#...###.....##.#.#..#.#..#.####..####....#...#..##.######..###..#.#....#.##..#..#.#....#.#.#...#.####.#...#.#.##..#.#.#..#.#..#....####....#...#..#####.#..##.###.#.#.###...###...#...#...###...####..#.####.......#.##.####..#.##.#..####.......#.####..##...#...#.##.#.##.##...##.#....######.###.###...##....#...##.####....#.##...#.####..###.#####...#..#.#.##.#.....#.#..####.......##.#.##.....#.#.#..###.#.####..##....#..#........####.##..#..#.######..#..#####....#..#.#.#...##.#..#####..#..#.#####.....##...#..#..##..##..#######..#..#....##..###..#..#...#..#.####.....#.###.#.##.#.##....#.###.#.....#....##...###..#..###.##....#.####.#.###...#..#.##.####.##..#.#.#.##..##..##...##..##.##..#.#..########....##..#..#....##...#.#..#.###...#.....#.##.......#.##...##..##.#.#####....#.#####...####.#...#....#...#...##..####..#.#..###......##.###.#.###.#.#.###.##.##..#..####.....#####....###.#...#..#...##..#....#.......####.#.....######.#.###.##.#.......###.##..#..#..######..#...###..###.##.####.#.#....#.#..###..##.#.##..#.#.######..#...###..#.........##...#.#.........##.###.....#...#.##.##.#..#.....##.#......##.#..##...#.#.#.###...##...###.#..##....#####..#.###...#####.#..##....#.####.#.#.####.##.#######...##.##..#.#.##..######.#...#.#....##...###.#.##.#.#..##....##.#..#.##....#..#.#.##....##.###.#######...####.##.##.####...####.#..##.#....#.#.#.#..#.####.#..##.#.#.#..#....#.##..##..#..#.#..#.####..#...##.#....##.##.###.####........###..#....#.#.#..###.#.#.#.#.#.####.#..##.##.#..##..#.#.#.#..##.###..#.#
#.##...#.##.#.###...#.#...#.###.##.#.#.#..##...#.#.#.##...####..#..#....##.#....##..#.#.#####....#.###..##..#...#.##..#.....##..#...#.....#..######..#...#...#.##..##..#..####..#.#.#..#.#.............####.#######.#..##..###..###....###...###..#..###.###.#..#####..##........######..##..####..#.#.##.#.##...#.#.#.#...#..###.##.#.....##...##......###.##..#######.#.####.####..#####....##.#..#.##.##...##.#.#..####.####.#.##..####.##.....#...#..#.####....#.#.####...##.####..#......#..##..#.......#.##...#.#..######.#...##.#.....#.###.##.#..######..##..#.##.#..###..##...#.######.###...######.##.#.##..###.###..###...#...####.####....#.#.###..#..##.#..###...###...##.##.#.##.#..#.#.###....##.#.#.#.#.#.#.#...#.#####.###..###..#...###..###.#..###...#.#...#.....#.#..#..#.###.###.###.###..####..###..#..##.##..#.##.#.##.#..#.#######..###.#...##.##..#.#...##.##.##....#.###....##...#.###.#...#.##..####.#...##..##..#.#######.#..#....#####.#.##...###..####..#...####..#...#....#####..#.##.#.#..###..##..##.....#..##...###...#..##.......##....######.#.###.#..#.##.#.###.#.##..#.###.#.####.###...#..#..##.#.#########..#.##.#.###...###.##.##..##.##..#####.##..####.#..#.#.##...#..##...##.###.##.#...#.#.#.######.####.#.#.#####..#.#.#...##.#.###...###...###..#####.##....#######.#.......####.......##.#.###.#.#.#.###.....#.##..#..##..#..#.#....##.#..#.##.##...##.##.....##..##.#.#.....#.##.######.##.#...#####.####..#..#.#.###.####.#..#.##.#.###...###..##.##.###.#.##.#.#.#...#....#..##.#.####.#..#....##.#..#####.....#.#.#.#...##......##.#..##..##..###..###...#######..#...##..###..##.###..#..####.#...#...#....#.##..##..#.####.###.#...###.....#..#.#.#...#.##.##.....#..###....####...###.#..###...#####.###.#.#.#...#.#....###.....#####.###.#...#......##...#.#####......##..#.##.#.##.###.##.#.###.##..##..#.##......#...##..#..####.##.##.#.####.#.#.###..#.####.#.####...#.....#....##..#.###.#..########.#####.....####...##.##.#####..###########.####...#..#.#....#.###..#..###..##.###....#..#.#....###.#.##..###.##
...#...##.##...#.#.....##.###..#..##.####..##.#.##...#..##.#######.#..#......####.####.####.....#.#..##.#.#....##.#.....###....#...#.#..##.#.##.##....#.###....###..#.#.##.#.##.##.#.....#...##.##.#....####.#..#####...##..#.....#####.#..#.#.#..#.....#..##.####.#.###.##....##.#.##.######.#.#.#.##.#####.#..##.#..###..##.##.......##.##.##.#...##.####.##.###.######.######.#..#...#.#...##.#...#.##.###..#..#..####..#.#..#.#..##.###..###..#....#.#.##..####.#.#..###.####..##..##.#.###.#..######...###.##........##.##.#.#.#.##..######....##.#..###...#.....#.#....#.#...#.#..##.##..#.######.#.#.###....#..#.#..#...####.###.###.#....#..#..#......#..#######..#.##.#...#...#..#...#..#.###.####.########..#.#.#.##.#.###.#.#.###.##.#...####..#...#..##.#.###..#....#.#.....#####..###.###..##.###..##.##..##..#..#.#.....##..##...#...#.####.#..##.#######..###...##..###.#..##..#...###.#####..####.#.##.##.#.#.##....##.#......##.#....####....#.#.###..###.......#..#...#..####.##.....#####....###.##.#....##...#..####.####.##.##.#.....#.####.###.#.#.##.....###.....####.#.###.#.##...##.##.#.#.###..##..#..#.#.#.....###.#..##..#...####..###....#..#..#..#.#.....#...#.###...#.#.###..##...##..........##....#..#..###.###..#.#.#.##..####..##.##...#.##..#..#..####.####...#...###.#.#..####.##.#.#.#####.##.#.#.##..#........#..#..###.###..###.##..#.#.##.##.##.#..####.#.....#.#####.#.######...##.###..#####..##.#######..##.###..####..#.#.##..#.#.#.######.##...##.#####.##.####....#.####..###.##...#..#..#..######...###..#.#.##...#....#...#.###.####..#.#.#..........#....###.#.#.##...##.#........###....##.#...#..##.###.#....##...#....#...#..####....##...#....#.....##..##..#.#.###.###.#....#.##...###..###########...##.##...####.####.#.#.#.#####..#.#...####..##..#.##.##.#..#..##..#######..#.#...#.#..#....###.####..#..##..####..#####.###.#.##.##.##.##...##.##.#...###.##..#.##.##.####.#.#..##...##.#..##.###.#....##.####..###...##..##...#.#..###.##.#.#####.#...##....###..#..#..#.#.####.#.####.##.#.###.#.##...#..#.##...#.
#...###.##..#.#.#####....#.##.####.#.###..##......####.....#.....##..#..#####....#...##...#.#..#..#.##.#.##.#.#.#...#####.#.....#.#...#...##......#..##.##...#..#..#.#.#..#.#.######..####.#####.##....##.#...#..##...###.##..#.#.###..##.###.####...##.##..#.#.###.#.#.#####.###.###.#.....#.....#......#####.##.####...#..#####.....####......#..##.......###.#..#.###..#..#.#....###..##.#..#.#####.....##..#...#.###.#######..####....#.#.##.###.#.##.....##....#.#.##...#...##.#.#.###.#.#......###..#.##..###.#..###..##.#####...#...##.#.#.#####.#..#..#..##.#.......#..#...#######..#...#..###..#...#..#..#.###########.###...#..##.#...#.####..#.##.....#.....##.#....#.##.###.##....##..###...###...#...##.###.####..##..#.#.###..#.......####.#.######.#.###.#####..###....#..####.#...#.#..#..########.###.....##..#..#..#.####....####..#...######...###..##....##..#####.##...###.###.#.#....#.#.###.###.#..##...#######..#.##.#..#...#.......#..###..#......#..##..####.....#..#.###.....#.####.##..###...#......###.#######..#.##.....#######.##...#####....####...##...####..###...#....#.#.#.#....##.#.#.#..##..#.#.##..#.#.#.####.##.#.####.###..#...###...#.#........##.###.#...###....###.######..####..#.#...#...##.#...#.#..##...#.#.#..#.##.#...##..####..###.#.#...##.#..#.###..###...#..#..#..##.#.........##..##..#.##.##.##.##..##.##.#.#.#.##..#...#...#.#..##..#.#..#..##.######..####.##.#....#.#..####.##.##.##.#.##########.#####...#......#...##....#..####.##.#.###....##.#....#...###....###..##.#.#####..#.##....#..###.#.##.#..#.###..#..#.#####...##...##.#..##..#####...##..#...#..##.#..##.###.###.##......#.#.#.#.#....#..#.#...#......####...#####..#####....#.##..##...######.###....###..#.###.#.#.#.#.#...#....#....###..#.#.##.#.#.##..##.#...###..#.....#.###.#.##.#.#...####.....#.###...#.###......#..#.#..#####.##....##.#..#.#....#.###..#.#.#.#####...###...###.###.....##.##.#..######...#..#####.###.#..#..###..##.####..#...#..###....##.#...##.###......##...#..#..#..###.#.#...#.##..##...#..#.##.....##.###.#####..##
###..####.####.#.##..##..#...###.###.#####.##.#.#..#.....###.##.#.#...##.#.#.#.####....##.###.##.###.......#.#####..##..#.#.###.##.....#.##.##.....#..#..#..####.#..#..##.###.#..#.##.#####..#...##..#..#.#....###..###.#..#..##..###.#.###.#.....##..#.####.##...###...##..#####..#..#..#.#...#......###.#.#.#...##..#.#.##.####....#.#.##...#..#.#...###.#.###....###.#.#.#....###..#.#......######..#.###.#.##..##.#.....#.#.#.##....##.##.##.##.####.#.###.#....#####.#.##.#..##.###.....#.##.#.###..#....##....#.##.#.#...#####.#..#.##.##.###.......#.##.##....#...#....#..#.##.###.#...##..##..#.#..####....#.##...##..######..#..#...##.##...#..##.#.##.......#.#.##.##.####.#..##..##.#.#.#..#####.#..######..#.#.....##.###.##..###.#.####...##.......##..#.#.###..##..#.##.....#...#####...#.#..#...##.#..####.###..#......#..#..##.#.##.#.#.###..####..##....#.#..#.....#..#..#.#....####.......######..##.#######..##.#...#......####.#..##.#.#####..#..#..##..##.#..#......#####......##..#.##....##..####..###...########...###...##.#.###.###.##.#..#..##..##...#.####.#.###.....####..#.##.##...######.##.##.#.....#.#..#.#.....##..####.####.#....###.#.#..##.####.##.#.#.#.####.#..#####.#.#.##....##...#.##..#..#.##..#.#....##.###..........#..##..###...#..#..#..#.##...#..###...#####.###.###.####.#....#.#.###....#.#.##.#..###.###..##..####....#.###.#....##....##...##..###...##.#..##...#########.###..#########.####.###.###.###.#.#.###..#.##.#..##.#.#.#.#####...###.......###.##..###......#.##.#.##..##.#.#.##.##.#.#.##..#.##...####...#.#..###.#..##....##...#...##.#.#..#..#.###..##.##...#.#..###.#...##..##...#.#.#.###.##..#..#..#..#.##..#..#.#.#...#...#..##.######..#....#.#.##.#.#.....#...##..##..##.##....######.......#.##.####.#.#.......##.#.#.#.#.##..###...#.....#.###.#.##.##..###..#..##.###.###.###..#.###.##.####.#....#####.###.##.#..#.#..#.###.#..#..#...########.##...###.#..#.#...##..##.#.......##....##.###..###..#..##..#..##.......#.##.#.......##.#.##..#.#####..##.....##.#.####...#####.#######..#.#..##..##.#
...#..#.....##...#.##..###..####....#.#...##.#....#...##.##.#.###....###.##....#.###....#.#.#.####.##########..#.#..##.##.####.....###.#....###..##.###.###.#.#....##...##.##...#.#.#.######...##..##....#.#.##...#..###....###.#..##..#...####.##.#..###..###.#.##.#...#..###.#.####..#...####.#.#...#.#.#.#..#...#..##..##.#.#..####.#####.#...##..#..####........#...#.#.##..#..######.#..#.#...#...##.##.###..###...###.###.....#.##.#.##..#########........##.##...#.###....####......#.#.##.##.....#.##...###.###.#.#...#.##..#.###.......##.####..#.###....####..###..##.##..###.#.#.###.....##.###..#.##.##....#####.####..#....#....#.#.##.##.#.#.#..#.#.#.#...##..##.#.#.#.#..#.#.###.##.....#.##.#.#.#.##..#.........#..#..#.##..###..#######.##.....#..##....###.#..###.#.....#.##.##.#.#.#...#.....#..###.#..##....###.##.##..#..#########.....#.###.###..#.#......##.##..##..##..#....######.##.#.##.##.#..#..#....###...###.#####.....###.####......###..##.#.#..##..##.##..###...##.##..#.#####....#.##.#.#..#####.###..#.##..#.##..##...#.#.###.##.#.#.....#.##.#..##..###.###.#.##..##.#..###....##.####...#.#....####.......###.......##.#...####..#............#..###..##..#...##.#.#..##.#.##..####...#......#..###.##..#.......#.##.......##....##.....#..##.#####.####...#...#....##.###.#...##.###..#.#.####.##.....#.###..#####.#.#.......###.##......#..####.#...##..#####.#.##..#..#..##..######....##.#..#.##.#..#....##..##.##..###.#.#.#.###.#....#.##....######.##.#.###.#...###.####..#.#.#.##.####.#########.#..##....###.###.###.#.#.#...###..#..####...#...#..#.##.####.#..#.####.###.##.#...#..#..#.#...##...#.#.########....##....#.#.#.##.##.##..##.###...#.#...#.####...###..#.....#.#....##.#....#....#.##.##.##.####.##.#####.......###....#.####.#######..#..#..##..#..#......##.#...#......#..#...##.#.###.###.####.###.##.###...###..##..##.##.....#..#####.#..#...###.#.#...##.#..##.###..#######..######.#.#.##.#######.#.##...#...#.###....#.###..##.##.##.####...#...#.....###.#.#.##...#.#.....##.#..########...#..#.#.#..#...#
##..........######.#.#####.#...#.##..#.##...##.#.##.#...##.#.###.#.#.##.....####..##...######.##.##.##.##..#.....##.####.#..#.#####.....###....##...####..#.#..#.###...###.#####.##.###.###.####.##.#.#.###.....######.######...#....#...##....##..#.#.####..##.#.##..##.####..####...#...###.####.#..####.#####.#..####......#.####..####.#.##.....##..#.###.##.##..###.#..##.##..#.#..##.##.####...#...##.##....##..##.#..#.##.#...#....#.###.###.#######.##.#.####.###.####..##.....###......#..#..#.#.#.##.####.#....#..#...#..#..###.#####.##.#.###.##.#.#.#...##.###.####.#.###.#.#.######......#.....#.#.#.#.###.#...#.####.###...#..#..###...###......#..#.##..#.####.##..#.##.#....###.#.....###..##..##....###.##..##..###.##.#..###.#.##.###....####..#####.###....#..###.#...###..###..#.##....#####.####.#..#.##.##..#....#..####.#.##.#.#..###.#.#......##.#..#.###....#####..#..##..#...##.###.#...###.#..##..##.#.....##.###..#..#.#..#...##..#.#.##...##.###..#.#....###..#.###.#..#...##.####.###..##..#..#.#...#.####.###...#.#.....####...##.##.#..#....###...###.###.#.##.##....#.##....#.##.....#..##.#..####..#.#.#.#.#......###.....##...###..#..#.#####..######...##..##.#..#.##...###...##.###..##..#..#..#####.#...##.#...##.....#..#.#..#.#.....###.#####.##...#...#########...##.....##....#..#..###..####.#..#..#..##..#.#.#.##.##...####..##..#..#..#.##.###....#######...#..#..##......#...###.###.##.#.###...##..#####...#..#.###.#..##.#####..###.###.##......#.#.#.#..##..#...#.##..#...#..#..###..##...###.#.#.#.#...#..###...#.#.##..###..##....##..#.#.###..#.......####..#..###.#.##.#.#...##..#.##.#.#.....#.#######.#.#....##..#.#.##.###..#.#..#####.#..#.##..#...#.#.##.#####.#####....###.##..###..#..#.#..##.###.######..#...##.####.###.....#....#.##.####.######..####.#.#.######.#.###.####..#.##.#.####.#.##.##...#.#..##..#.....##..##..#.##...#.##.###.........###..#..##.#..#.######.####.....##.#..#.####.#...###.#...##..#..####.#..####...#.###.#.#####..#...###.####.##...##.#...#.#.###..#.####.#..######.#.#.##.#...#.
.###..#..#...###..#.#.#.##.#..##...##...##.#.##...#.#..##..#...###..#..#.#..#.....####..#.#####......#.#.#...#..##.##.##.#.##..#...#.#.##.##.##.......#....#..##..#.....#.#..#.###....####.#.#.##.##..#.###.###..#.#.#...#.###.#.#..#..#.#.######..#..##..##.#.###.#.###############.##..###.##...##.#......###...##.#....#..####..#.##..##.##...#.###....#.####..#...#..#.#..#.#.###.#...#.#..#.##.....##.#.#.##.###.###..###.#.##.##.#.####.#...##..#...####.#.#.##.#..#....#..#.#.##...#.#..#.#.....#....#.####.#.####.#.#.#.#.####..#..#.#.......#.######.##..#####.#...##.#.#..##..##.#.#.#.#####....####.##.######..####.###.###..####..###.#....##.##.#...#.#.##.######.....###.##...#.#.##.##.##...#.##.####...#..#.#.##.........#.#######.#.##.##.....#.#.##.####.###..###...###......#.#.######.###...##.#.##.###....##..###.#.####.#.#.#####..###..#.#.##....#..###...##..#.....###...#######...##...##..#.###..#..#.##..#######.##..###.####..#..##..##....###.##.#..#....#.##...#.##.##.#......###..#..#...#.....##.##.#.##.#####...#####.....##.##.#.##.###.#.##.#...#.###....###..#.....#.##.....#..#....##.##.#.#..#.#.#####..#.#.###..##.#.#....#.....##.##..#####.##..###.#..###....#..#.#..#.....##.###.###...##.##.#.##....##...#...###.###.#.##..##....#..##.###.#..##.##..#.#.#....#.#.####..##...##.####.#.#.#..#####.##..##...###.#.##..#.#####..#.#.#..##..#......#...##.#....##.#.#.#.##.##.#...##.##.###.##..#.##.##..###.#.#....###.#...##...####....#..#...##......#######..####.####.####.#####.#.#.....###......####..#..#..#.#...#.####...#.###.###.##.#.....#####.#.#.##.#.#####.##.#.#.##...###..###.#..#.##...##..###...#.....#.#.##.####..#.##....####.####.#..##...#..###...#...###...#.#...#....#.......###...####..####..#....####.########.##...####..#...#..#..##.#########.#..##.#.#..#.#..##...##...###..#..####.#.#..#.#...#.....###...####..#..#.....#.##.###....#......#..#.###.#.#..#...#.##.#.#....#.#.###..########...######.##.#..###..###....###.#....###..###.#####.#...###.##...#..####.###.#..#..####...###..#..###...##.#
###..##..#.####..#.#..#.####.###..###.#.#.##..#..##..#.....####.##.#.#.########.#.#.#..#..#.##.###.##.##.##.....#.#.##...###.##....#..#..####..#..#.#.#..#.##.##.#..#...#..##..##......#..#.####...####..##..#..###....#####..#..#####....#...#.###.....#....#.####.#.#......#.#.##.##..##..####.###.#..##....#..###.##...####..#####...###..#.#..####..#..#..#...#..####.#......###.....##..####.#.#.###..##.#...###...#.#...####.###.#.##.#..#.....#.####..##.#..#....##.#.###....###..##..#...#..#.##..#.##.####...####..###..#.#.#..#######...#.#.#...#....#....#..#...#...##.#....#...#....#....#...#..#.##.#...##..#.#..###..##..#....#.#...#..##.#.####...#.#.##.#####.#.#.###.###..#.###.#..##..####...####.##.#...#...######.........#...###.##...#...##.#...##.##..#.#..###.####....#.#..##.#...###.##.##.#...##.#.##..###....###.##..##.#.###.##.#...###..#.#.###.####..#...####...##.#.##..#.######........##...##.....###...#..###.###.....#......#.###.###.....#..##.###..#.....##.##.#.#####.#..#.....#..#.#####..#.#.#.###.#..##..###.#.#.##.##......##.##.#..##.#..##.#.#...####.##..##..#.#.##....##.#.#..#.#.#.....#.#.###.#..#..######.###..##..###..#####.#....##...##.#...#.##...#....###.....##........#.#...#...#..########...##.#.......##.#.##.###.#.###.#.#..#...#..##.#..#.####.#####.##.###...######.######.#..#..#.#...###.###.###..#....##.##..###.....#.....##..##...#....#.##......#.#.###.#....#.#......###..##.#..#.#.#.......#......######....###..#.....#..###.####.#...##..###.#....##.######.##...#.#.#.###.#....#..##.#.#.##......#..#.##.#..####.###.####.#.##.#.##.#...##.######.##.#.###.###...###..#.#....#..##...####.#.###...##.##.#####..#.....#..##..##.......#...#.#.#.......#....#....##..#.#.###..###.##..###.#.##..#..#..#.#.####..#.....#####.##.####.##....#.#..#...##..#.##.#.###..#.##..##.#......#....##..#...#..##..###.###..##.#..###.#.##.##...##...#..###...####.#.#..####.###.....#....#####.##..####.#.....##..##.......###...#.#..#.###.####.#....#####..###.####.#.....#...##.#.....##.##.#....###.#.##..#...##
.#....##....#.#.........#####.##..#....##.#.###..#.##...##.####...#..#..#.#.####..#.#..#..#.##.##.##..#..#..#...#..#.#.##......##..##.##...#..#....##..###.######.#..........#.#.##.#..###########...#...##.#.#.#..######.#######.##..#.##.#.##.#.#.##...###.#.#.#.##...##.##...#.#####...#.#...#.##.##.####..#..##..###..##...#...#.##.#.#...#...#........#.#####...#..#..#...##.#.#...#..#.##.....##...#.###..#.#..#.#..##..#....##...###...#..##.###....####.##...###.#..#.#..######.###...#..#..#.########...#..##...#.#.#..#.##....#.#..#.#..##.#...#...##..###.##.###..##...#.###.#..#...#..#.#..#..###..#..###...#..#####.....#.#.#.....##...####..#.#..#.#.##...###.#..####.#...#.###..##....##...##..#..##....#..##..#.#.##....##.#.#....#.#.##.###.#..######.#..##.#.##..##.#..##........##.....#.##.##.###.###..###..##..##.##...#####.##..#.#####.#.#...##...######.##...##.####...#.#.####..#.###.#...#.##.#.#....#.#.#########...#..#.#.#.....#..#.#.##..#####....##.#..##..##.######...#.###.###...#.####...#.#.#...##..##.####....#..#..#..#.##.#.##..###.#......#..#.##...#....#.#######.......##..##.##.#.##..##...#.##.#...#..###.#.#.#.#.##.##..#..#...#..#.###..##...###.#.##.##.#.###..##.#.##..###.#.##.#...#..#.....#.#..#.###...#.###.##.##.#...###....##.#..#....#.#.#.....###############..#.#.######.##........########..#.##..#.#.#..##.#.#...##..#.##..#.#.#....#.##.#....#..#.....##...######....#..#.#####.#.##.#.#.#.##.#.######.#..#..#...#.#..#.#######...#.......##..##.#####..##.####.#...#..#.#...#...#...#...###...#.##..###...#......#.#..##.#####..#.###..#.#........###.##.###.##.##..##.##.#..####...##...###.####.###..##....##...####.#..#.#.######.#.####.#..######....####..##..##..##.###..#.##.#.#.#.#.#.#.##.#.##.#.#...##...#..####.##..#.##..###.##.#......##..#####...#...##..####.#..##..#..#.#..###.....##..#..##.#.#.#..#.#.###.##...##.#..#...#..##....###..##.#.#...###......###...####.######....###.##.....##.######.#.###...##..#..###.##.#.#....#..###..##.#...#..##.####..#..#...#..##..#...........#...##..#####
##.#.#.......####.#...##.#.###..#.#.#.#.#..####..####..#.#.#..#..#.#....##.#####.###..#.##.#....#....####..##.....##..#.###########...###.....###..##...###.#...#..#.#...###..#.##.####.####...###.###....##..#.#.###..#..###...#####....#######...#..##.#.####.###.###.###.#.#####.#.###.....##.###.#...##.#..##.....##.#.#.#.#...#.##.###.##.....#.##.....###.##.#####..#.#.###.....###.#.###.#....#......#.#####..#..###..#.#..#.#.....#.##.......#.#......#####.####..#.#.#.#..#.#...#...#...#......#####...#..########.....#..#.#....##.#.##.##.#.#.##........#.####.###.###...##.###...##.#...#..........###.#....##........#....##....#####..######.###.#.#....#.##..#.#...#..##.##.#....##.#..##..#..##.###...#.#..#.##.#.###.#.#..#...##.#.#.##..#.#..#..###...#...#.#.##....#..######......####..#.##..........##...#######.####......##..#...###...#...##..........#.#..#..###.####...###..#.#...##.##.....#####..#....#####..####..#.#.###.###....#...####.#.#..#..#..####.##.#...##.#.#.##..####..#...##.#.#.#.#####.###.##.###..#.#.........##....##..#.##.###.####..#.#....###....###.#..##...#.......#...##...#.#.......##....##.####...#...##...#.##.#####...####.#.#.##.##..####....##.####.##.#.....####.###..##....#....#######.#.##.#...####.#.......#.#.#.#...#####....######.###..##..#####.##....##.###....##..#.###.#.##........###..#..#..#...........#...###.####..##..###..####.#.#..####..#.##...#.#.....##.#..#..####..#.#...#.#.#.##...#....#.#...#.#.###.####..#.#..###...#...#.#.#..#..##..#......#......###.#####....##..##.##....###..##..###...#######...#....##...#..#....#.....##.......###..######.....##.#####...###..#.##..#.#..#...##.....###...###..#.....##..##.##...##.#..#####..###...###.#....#.#.##.######...####..#.##.##.##..#.##.#.##.#..####.#...###...#....#..##########.#.#.####.#..#.###..##..#.....######..##.###.####.##.#.#..#.....##..#####..####.#.#.##...#######......######.##.#.##....##..#..#.#..####.#..#...#..#..##.##..##....##..#......#..#..###.###...##..##.##...##.#.#.#..#.#.#.....##.##...##....#.#.#..
.#.#.#...###...######....#......##..###....##.#....#..#.###......#..##..#....####.#.#.#.......#.########..#...###..###..#.#..##...##.####.###..#.#.#.###...##.#.#.#.###.#....#...#.#....#.#.##....#.#..#.#####.#...###.####..###.###....####.......###.....#.##.#..#####...#....#.##.#.#.#.##.#.#####.#.####.#....##..###.#.##....#......#.#.##..#..#....#.##..##.#..#....###..#.###.#..##.##.#..##.##...#....##.#...###.##..#.#####.#.##..#.##.#..#.###.#.##.#..###..###.#.#####.########...###.#.#..##..####..#...##..###..#.#.##.##.##..####.#.##.##.....###..##..#####.#....####...##.#######..#.#.####.##.##.#..#.##....##...#...#..#..##.###..#.#.#.#.#..##.#####..##.##..#....#..#.#####.........#.##.##..###....##..##.#.#.#.###.....##..#....#....##..###.....##.##..##.###......#...#..#.###...#..#..##.###...##...#..###....#.##.#.##.###..###.###.#.#.#.#..#..#.#.###.####.....#...##...##########.....#.#.#....#.#.#..######.#######.###.#..#.#.#.#######....##.#.##.#.######.###..#.#..####....##..##.###.##.##...#.######...##.##.#..#.##.###.#....##..#####.####.#.....#...##.##...##.#######.###.#..#.####.####...###.##...#..#.#...####..#.###...#.#.#...#####..###..##..####.###....###.#.###.....##.##.##..#####.##.##...#.#..#.#####.#.###..#..##.#..#....####.##.#.###..###..#....#.#..#.####.#.#.#.#.####.#....###.......##...######.#.#........###.##...#...#..#.#.###...#..#.##..#...##.##.#####..#..##...#....##.#.....####...##.##.....####....###.#.#.##..##..#...#.##.##.##....##.#...###....###......##.#.##.#.###...#.#...####.#######.##.#..######..##...###...#.##..########.##.#.#.#..##.#..#.#.#.###.#.##.#.#.###.#.....##....#.##.##.#.##.##..#..#......##..#.###....##.###.####.#.###.#...##......####..####.#.##.##...###.#.##..#.#.#......#.###.#..#..##..##..#...#...#####.##.#...#..##.#..#.##...####....#.##.#####.##.#..#....##..###.##.####.###...##..#######..#.#...#..#.#..##.#..#.#.####..#.###..#.#####......###.####.##..##.#.###..##.#..#.#.#..#...##.#.##..#.###.####.##.#...#...##...###...##.#.###.#.#####..#.###.##....#.#
##.##.##..#....#.##.#.#..#.#..###...##.....#....##..#.#####..#....#####.###..###..#.#...##...###.####.....#..###..###.#..#..##.#.....##..####.##.###.#.#######.#.#....#....#..##..#..##...##..#.##.....#.###.#...####..#.#.#..##.#.....#...###..#...###.##.#.####.##.##.#...#.##...#######.#.#..#....##...###..###..#...#...#.#....#####....#.##..##.#.#...#....##.#..#...####.#.......#...#.#..#.##..#.#..###..#.#.##..#..#.#.#.###..#..###......#........#...#.#..#..#..###..#.#...#.##..####..####.###.#..###.#.###....###..#......##.#.##....#####...##.##.#.#......#####....#.##.#.#####.#..#.#.#.#.#.#..##.#.##...#####..#...###.##.##.#...###...#.#....####.##.##..##.#....##...#.#.###......##.....##.#...####.#....#..###.#.#.##....###..####...##.#..##..######.#.###.#.##....###.#..##.##.######.##.#.#......###..###..#..#........#...#..#.....#.###..#.....######....##...#..####.##.#..###.#.#.#..#.#..#.##.####.#.....##.#.##...##....#..#.##....###..###.#.###..#..#......#.#....#..##.#.#.###.#####...####....#..##.#..##.#.#.#...##..#..##.#.###..#....###..#.##.#..###.####.####.##.##.#.#####.##.#..###..###.#...####..#####.##.#.##.###.####.##..###.###.#.......##...##..##.###.###..#.#.....######.#####.###...###...####....#.##..##..#....####...####.###..#.#.#...##...#.##...#...###.####.#....#.######.#........##...####.###....####.####.#.##..#..#....#.##..###.#..#.##....##..#.#..#..#..####.#..#.####.#....##..#.########..###.#.#.....#...#.#.#..#.###.####.#..#..#.#.###..##.#######...##.##.###.##...#####.#.######.###.#..###...#.#.#.##..###.##...##.###.###.#..#....#.#.###..#.#.......##.....##..####..#...#####...#.#......#.#..####.##.##........#.#..#.##.#.#.#.#.#.##.#.#..##.#.##...####.##.#.#.#...#########...#####..#.#.#.#..#.#.#.###.......##...##.#.##.#.##.##.#..##.#..#.#....#.#####.###..#..#.#.#.#..##..##.#..#...#...#.#.#..#....#.#..###...#....##.###..#####..#...#.....#.#..#..####...###..#.#..##..###.#.#.###..##..##...#.#..#..##..#.#.#..#.....##.#..###..##.###..#..###..##.#..#.#.#.###..#.#.##.#.#....###.#..
#..#.####.####.#.#...#####...#####.###.#.#.#..###.#.###.#.#...##...##.....#.#..#.####..####.##.##..#.##.#..##..#.###.##...#..#...#......#.#..#..###......#####.##########...#.#.##...##....#..#.#######.##.#..#..#...###.##..##.##..#..#..######.##...#...#.###.#.....#.##.#..#####.##.#.###....####..#.###.##.##..##....###.###...##...###.....#######.##.#.##...##.###.##.#..#.###...#..##..######.##...#...###.#.#.#.###..##.#.#..##.###.....#...#.#.####.#.#..#..#####.#..#..#...###.#####..#.#...#..##...#....#..#.#.####.##.##.#.####..########..##.###.#.#.##...#..#.##.#....#####...#...####..#.#...#..###.###..#.###...###..####..###..##.#.#..#..####.#..###..#######.####..#..#.#.#...###...#.....#.##.#.##...####.###..#..#.....##...######.####..##.##.##...##..####..##..#.#.####..###....###.##.#.#.###...###....########.##.###.##.#.##..##########.##...###..#..#.##.#.#..##.#...#.....##.##....##.#...##.#.####...##...#.#.....#..#..##..##.####..##..###..###.#####.#..####...###.....#.###...##........#.....#..###.#...##########.....####.#.#..##.##......###.#.#.##...########.##.#.#.#.##...###..#.#..#.##.###..#.#..##.##.##.#...##.#.#....#....##..##.##..#.##.#.#.##.#.######....###..##.##..####...#.#...#...########..###.###.......#...##...######..#.#...#...#.#....#.#.....#####.######..#####.#.#####.#..#.###..##...#.#..#.##.#..#.#...#.##.#.#####.#..##..#######.##....#.#.#...#.#.#.#...#.##...#...##.##.#....#.#..##.###.##....#...##..#....#..#..#.##.##.##..#.#.##.##.#..##......##.#.###....#..#....#..#####.....#..#.###...####.....###.####.....#............##..##.##....#.#.##..####.#.#.#.....#.##..#..#####..##...###.....####...#....###.##.#..#.####..#.###.##.#..#.##..##.##.##.###.###..#...#.#.#..###......##.##.#.##.#.....##.####..#..##..#......#######..####.#..#.#####....##.#.#..#.#....#.####.#.####.##.#.#.##.#..##..#.##.##.####.#....####...#.#.#..######.#.###.....#.##..##...#.##....#........#.#######..##.#####...#####..#..####...####......###....##....#.####....#..##.#..#.###.#.#.###.##...##.#####....#.
...#......###.###.#...#...##.#####.##..#.#..##.###.#.#..#####.##....#..#...#####.####.##.#...#.#.##.###.......#####.##..####.......#.#.#.##..###.#.###.##.###.#.#......#......#.##.....##.#...#.....#...#.#.##..##.####.##.#.......##....#....##.#..###.###.#.#..#..##...#...#.....#.#.#..##########..#.##..###.###.##.#.#.#.####.###.##.##..#..##.##.##..###..###.#####.##.##...#..#.#....#..#..#...##...####.##..##..##..##.....#..##..#.#####.#.##..####.#..###..#..#.####..#..#.####..#...#.#####...#..####.#...###...#..#..#.##..#.#.#.#####..#..##..##.#...######.#.#..##...#.##.#..#..#.###.####.......#..##.#.#.####..#...#.#....#.##.#...###.##.#####......##.#...##...##..#####.##....####.####...######...##.##.#####.#####..#.#.##.#.#.#.##.##.#........###..#..##.##.###....#.##.###.##..##..........#..#...#.#.##.....#.#.#...#####.####.#.#...##.###...#..###....#.#..##.##.##.....#..###.#.#.#...##.###.#..###......#.#...#.#.##.#.#.#####.###..#..####...#.##..###.#..#.#..##.#######....#.#.####.##.#..###.....##.##.##.#.#..#.###....#..##.#.##.#...#####....#.....#......###......#########.#.#...#....#....#..##..#.##.########.##..#.#..##.###...#.##...#####..##.#..##.##.#.###.....#.#.#........#.#####.##..###.###..#.###...###..#.##..####..###.##..###.#####.#.#..##...#...#.#####..#..###.#..#..#..#....#.#...######.#..###..###..########..#.#.#...#.##.###########..###..####..#.#####.###.#.####....###.####..#...##.#.##....####.##.#..#.##.##..#...#..##.#.##.#.#...#.#...###.##..#.##....#..#...#.##.#....###.##.##....####.##.####.#.##.####.####.....####.#.#..#..#.#.#.#...#####.####...#.#.###..###.#.#..####....#.#.#...##.#.#.####.#.###....###.........##.##.####..#.#....###..##.#.#######.##..#.#####.##...#..###..#..#.#.##....##.##....#.##..#.##.#.#####..#..##.###.###...##..#........##.#.##...#..###..##..#.######.###.###..#.#####.#..####..##.##..###.#..##..######...#.#.#.#.###...#..#.###....##.##.##...##.#..##..##.##.#.#......#..#.###.#####.###.#..#.....#.#..###..#..##.##.#....##.##....#.#.#..##....##..##.#..#.#..
...#..#.###..###...##.###.###.##...#.##.#.#.#..#.###..#..####.....#.#....#.#...#....#..###....##.#.#..##.....#.###.####.....#...#..##..######..#...#.##...#.#.#####..#.###..####.#####..###.#..#.....#####.#..##..#..#####..##..#.#.######.##..###..#...###.##.##.####...#.#.#.##...#..#.#.###.##.....##.#.#.#.#.#.####..#..#.#..##.##.....####..##.#.#...###..##..#.####..##.#.##...#..#.#..#..#.##.###.#..#..#........######..##....#..#.#.##.#..#......#..#..#.#.##.#####.###..##..###.#..####..#.#.###.#...###....#.#....#...###..#..#..#.#.#..##.#.#.#.##....#.#..##..#.#.##...#..##.####.#..##.#.#...###..##...###.###.#.....###..#....##.#.##.#..#....#...##..#######.#.#.#.#.####..#.####.#....#....#.....##..#.#..##.#..#..###.#...###....#...#####.##.##..##.####.#.##....#..#.##.#..##.#..##....#####.##...###.#####.#..##.#.#####.##....#...#...#.###..#.##...#.##.#..###...####.#.#....#..#.#..#.############..###.###.###.##.#...#...####.#.#.#..##...####.#.#..###.#.#...#.#...###.##.#.####..#.##.##..#..#.###...#...#.###.##......#.##..#..#..#..#####...###.#..#..####...#.##.#.#..#..###.####.##.#.##.#..#.#.#.#.#..#...#.##.##.##.#.##.##.#.#.#.#..###..###.#.##.#.#.##.#..#...#.###.#...#.......#.....###.#.#..#.#.#.#.#...#......####.##...#..###.....#.#..#####..###...#..##.#.######...#.####..##..#.#..#.#...##.##.##..#..#####.#.##..#####.##.#...#.#..#.......###..#.#...####..####.##.##...##....########.#..#...#.####.......#.#..##...#..###...##....#...##.#.###.##...##..##...##.#..####.###...#.##.#.......#.#....#.##.#....####........#.##..#...####.#####.##.##.#.##..#.#........#.##.###...#....##....##.#.###...#.#.########....#.#.#.#.##....##..#.#.##.......#.#.##.#.##.#.##.....#.#.....#.##.#..####.###..#.##.###.....####.#.#.#...#####....#..#.#####...#...##.#.....##.###.....##..#.#########.##..###..#.##.#.####.#..###.#.##..#..#.####.##..##....##.#.##..####...########..#..#..##.##..###.########..##..#.#####...##.###.#####..##..#...#...#.....#.#.##..#..#....#.##...###.##.#..#.###.###.#...#..#...#.#.###.##.#.##.#....
##..####.#...###.##..####......##..##.........#.....##.##.##.#.#..#.###.###...#...##.##....########.####..##..###..##.#..#.#########.##......##..#.#.........#....###..#..#.#.#.#.#...###.#.##....#.#..#.#######..##.##.#.###.#.#.##.#...#.#....#.######.#..#.#######...##..##..###..##....##...##.##.###..##.#.#.#..#..#.#.#...##.##..##.##.##..##...###......#..######......#..#.#...#.####.#.########.#.##.##..#..####...####...#....###...####.#####.##.#.##.....##....#..#...###...#........#...#...##.#..##...#...#..#.#...##..###.#.#####..####.##.#.#.###.#.........######.#.##.#..#.............#.#.###.##.###.##......#####.#..##.#....####...###..#.###.#..#..#####.#.##.#.##.###....#.##.#.##.#....##.#...#..#...###.###.####...##.##...#.#.#...#.#####.###.#..#.####...####.#.#...#......##.##...#####.#..###..#..##.#...#.......##..##.#.#.#.##..#....#....#.####.#...#.#.###.##...#.###.##.#..##...#.##.#..##.#...###.....#...#.##..##......#...##.#......###.#.#.###..#...#.#####....#.###..####..#.##..#.##.#.#..##..##..#..##.....##.##....####...###.###..##.##########..##..#.#.#.#.##.##.###..##..######.#.#..##...###.#....#.####.#.#####..#..#..#.#..#.#.#.##..##..#######..#.######...#.#..#.#.#.####.####..#..#..#.#...##.#..###..###.#####.....##.#######.#...##...##.#..###..##.##..##.###.#...##.##.###.###..########.....##...#####.###.#####.###.#...#.#....#.##...####.###.#.###.#.#........#..####..##.#.##.#.#..#.###..#...#.#..##...#...##..#..#...#...#....##....##.#...##..##.....#.#.....#..#.##.#.##...#....##.##.#...#.##...###.#..#..##.#..#.##.#...#...#..########..#.#..#...####.######..#.###.....#.##.##.##..#..#..###..###..##.#.##.#..#..##.##...###.#.#####.###...###..#.####.#..#.#####..#.#.#..##..#..##....#.###..#.##.#####...#.#.###..##...##......#.#......##...#.###..#..#..#...#..#####..##.#..#.#####..#..#.#.#..#.#....##.....##.#####.#..#####...#....#..##...##..#...#.##...........#...#.#......##.#######.#.#.##.#..#.#....##..##.###....###..#.#...####....#.##..#...##.#######.#.###.#.#..#######..########.#.###
#...#..###..#.#....######...#..#.........##.##.#.####.###....#.#..#####..#..#.....#.##.#..#.###..##..####...#.#..##...#.#####..#...##.#.#####.#######.#...#.##.#.##.#.#..#.####.#.#...##...###.#...#.###.###.#.#..##..#...#####.#.#..###.####.#..#..##..#....##.#######.#...###....######..#.##.#..#.##.#.#.#.#########.###...#....#.#...#.#.#.....#.##...#.#......###.#.#.#..##.#..##..#.##..##..#.######...###...#.##..#..#####..##.##..#.###.#...#...#.######.##.....##.#.####.....#....####..##.#.##.....##.#......####..##.#.#.#.####...#.#.##.#.#..##......#..##.#..#.#.#.#..###..##.#.##.###.#...#.##...###.###.###..#...###.#.###.#...###.#.#.#..#.##..####.#.#.#....#.##....##..#.####.#..#.##.###..###.#.#.#.....###.####..##.##.#...##.#.##.#..#.#...#..#.#.#.####.##.#..####.####..####..#####.#.##.#.##....#..####.#####....##.##....#..#.#.#..#..#.......#...###.###.#.#.###...#.#.#.#####...#..#....#....#....#.#.###.#....#.#.......#.#..#..#.#..#..###.....##.###....#.##.##.#.#.##.#...##.....##...###.#.#.##.#.####.#.#.#.....###.#.##..#.###...#..##...#...#.#...#.###.#..#.#..#..#.##..#####.#.#.#.#.#..####.###..#..###...#...#####...##.#####.##..#...#.##.#.#...#...#..#..####..##..........##.#.####..#.####....#.#.....##.#####..##.#.#.#.#...#.##.#..#.####..#.##.#..#.#.....###...####.##.##..###....##..###..#####..######..##...######...##.....#...#...#######.###.###.##.....#..#.##.###..###......#.#.##.#.###...#######.#.##.#..#.###.###.....##.###....##..#...#..#.#...##..#...#.....##...#####..#..#.#..#.#....#...#.##...#...#.###..#..###..######.##..###.......#..#.#..#...#...##..##..#......#...#####.###...#...#...#.##...#..#.#..#...##...#.......#.#...#.#..#####...######.#..#####.#####.#####.....#.#.##..##.....##..#.....###.##.....###..###...###.#.##...#.#...###.##...###..#.###.......#####..#.##.#.###....#......#.####.#...##...###.####..#..#.##.....####.######...#.##.##.#####...###.#####.#..#.#.##########....#.##.#..######..###..##.....###...#..#.####...####.#.#.##...#..##...##.###.....#.#..##.#..#..#.##..#..
.#..#..#...##....#.###..#.##.#.#.##..#...####.#..##..##.##.#...#.#####...#.#..#.###.###.##......#...##.#.....##.#.##....#..###.#.#.#..##.#.##..##.....#...#.#..##....######....##.#..##.##..###.#.....########..#....##.#..##.###.#..#.##.###.#.#...#.#....##.####.##..##.....#..####...#...##.#.#..#..#..#.##.#.##..#.####..#.....#.#.#####...#.......#.#.#######..##......#.#.....###.###...##.....#...##.##.#.##..##.###...#.#..#.#.#...#.##.##..##.#.###.#.##......##...#..#..#..##.#.#.######.........#..###..##.#.##.#...#.#.#.....##......##.#.#...###.#...#..#.###.##..#######..#.#.###..##..###...##...######..##.#.##.#.######.#.###.##..#..#..#....##.....#..##..##...#.#.##.###..###.#..##.#.#.....#...#..#.###...#..#.####..#.#.....#.###..#.#.#..###.#..#.#..###..#.#......#...#....#####..#..###..####.####......#..#.....#.###.#..##.#...###..#...##.#.######..#####.#..##..##.###..#..#.##.#.....##..#.##...##.##..###.###.###.###.#..###.###.#...#.#.##.####.#.#.#.....#..#......#.....#.#.......#....#..####.###.##..##.......#..#.#.#.#.#.#...#.##..#.##.#.##...#.##.##.#..#...###...##..###..#.##.#.#....#.#...#...#.#.##.#..#..#..###.######..##...#....##.....#...#.#..#.##.##.#.##..#####.#.####..##...#####..#####.......##.#.#....###.##.......##.#...##.#####.###.###..#.##....#..#....#.###.#####...#...##.#.##.##.####.###.######....##.#.#..#....#.#...#.##.#..#...#..##...#.##.#.####.##...#..#.#.#...#######.##.##...##...##...#.#......##...#....#.#..#.##.######.#.#..#....#####..#.####..##.##.##.####..###....#..#######...####.######....#.#.#...##...####...##.###.#.##..#.#.##.#...#..##..##....##.###...#######.#.##.####.......##.#.#.........##.##..#.#.#...#.#####..###.....#.###.#.#..####..#.#..#...######......#.#.#.#..####.##...#.#.#..#######.#######....#...#####.#.###.#.#..##.#...#.#.##..#.#.#.#..#.##.#.#.#.#...#....#...#.#..##.....####..#.####.#.##..##.###..#.##..####..#..####.##.######.#.#..#.....#.#.##.#.#.#.##......####..#.#.##.#..#.####...##.###...##..##.#...##..####..#.###...#..###.........###.##....##..
.###.###.##...#..###.##.#..##....#.#...#...#...#.##.....#..#....#####..##..###..##..##.##.#...#...#..#.##..####.###.#.#.......###.#..#.####....###.#.#.#.#.....#.#####..###.##...#.#.#..#.###.#.....#..####...#.........#..###.....###..#..##.#..#.###...#.....#.#.##.#..##.#...##..#.#.....##.#..######.###.#..#...###.##.####..##..#.#.#.###...#..#.####.#.#....#...#.##.#.##.####.#....##..#.####.##...#.#..##.#..##....#..###....######.#..#####....####.######.#..#..##.##.#.#.....#.####...#..#.#....#...#.##..#...#.####..#.#.##..#....#..##.#..#.#..####..######.##......##.....#..#.##...#..#.....#.##..##.#.####..######.#.#..##.##.##......##.#.#...##.#.###.#####.####..####...#..#.#.#...#.#.#####.#.#####.#....#...........#..##.#.###..##...###.##..#.........#..#.##.######..#.##..#####.#.####..##...#..#.##.#...#############..##.#.###.#......#.#.###.#..###...##.###.#.#.#.#.#....#.....#..#####..#..#####..#.#...###..#######.#.###....##.#####.#.##.#.#....##.####..##.#......##.###.....#.###.##..##...#...#.#.#.###.#.##..#.....#.##.#.##.##....#.##.#####.....#...#..#...#.#.#..#####...#.##.#.#..#.##..##..##......###.#..###..###.###.....###.##..#.#..#.###.##.#.#.####.##...##.#......#...#.######..#..####..#..#.######......###.##..#.##....#.#.##.#..##.#.#..#####.##.##..###.......#########.#.####...########.###.#.#.###..#####...####...#.##....#..#.#.##.##.####....###.###..####.#...##.#..##.##..##.#..##..#.##...####..#.###.##.##.#..##..###.#.#####...#.##.####.####..#.#..##.....###..#..###.##.#..###...##..#.#....#..#..##.##.##.##...#....#.##.#####.###.##....#.....####....###.....#####...#.#.#..####....#.#######.###...##.#....##...#######....##....#.##.#..###..####.##.#.#...#.#.#..#.####.##...###.###..#####.....##..#.#....#.#.####...##.####..##...##.#.##....#..#....###.##...###....#.#......####.##..##..#.#...#..#.....#####..####.#.##.#.#.#.#.#.#.#####..#.####...##.#.##.###...####..#.####.###...####.#..#.####...#.##.#.####.####..#.##.#..#####..##.##..###....#.##..#.##......##.######..###...#.###..#.###
.##..######...#.#..#.##.##...######.#.#.#.#.#.##.#..##.#..#.#...#.#..####.#.....#.####.#####....#..#...#.#.##.#.###....###......###..##.##.####....####...#.#####.##.###..#...#.###.#.#.##.######.#.#..#....#..####..##.##..#.....###.#...##.#......#.....#..###..###.#..####....#..###..####.#..##.#....####..#######..#.#....##..###.#..#.###.#######.....####..#.....###.#.....#.####..#..##..##..#...##....##.##..##..#.#.######.#.#..####.#..#####.#.....####.#..#...#....#.....#.######.#......#...#.#..#.#....##.###..##.####..######.#.#.#.#.##.########..#####.#.##.#..###....#.#.#.##......##..#.#.##....##.##..#...###.#...###.#...#.#...##...#.....#.##...#..#######..#.#.#........###..###...#.##.#..#..#...#.##..#.##.#.#####..###...#...#.####.##.###.#..#.#.#..#.#.#...#.#.#...#..##.#.##....#...#......#.#.#..#..#.##..####.#.####....#.##.##.##.#.#.###.##.#..#.####.....####..####..###.##.#####.###.##......###.#.....##..##...####.##..#.##.....####.####.#...#.#.....##...#.#.#.#.#########.###..####.###..##..####...###.#####.###.#....#.####.#.....#.#.##...##.#.#..###.#.##.#..##.....#..#....##......###.##.#....##.###.####...####...#.#..#...##.#####.####.....#.#.###.###.####....#..#.####..#.........####.#.#.#.########.#.#.#.#.##.#.###....##.....#.#...##......#..##...#...###.#####...#.##.....##.#..#..#.#..#.#..#...#......###...#.......#.###.####.#.....##.#.#.###..########..####...#.##.###...#..###..#.#.##.####.#######..##...###.#..#...##.###.#.##.##.#...#####.....#.######.#.#.#####.##.#.#....####..##..#.##..##.#...#..#.####..#.#.#.......#..##.#....#.##...#.##.#.#...#.#..###.#.##.#..##..###.#.#.##..####.##.....##..#.#.####.#....#.####...#.....#.####........#.#.##.#.#.###..#.##..#.#####.#.#.###.#.##.##..#.#..#.#..##.#.###..##.....#..###.##.######....#.##..##...###.#.#..#...#######..##..#...####...##..##.....#...#####.........###.##...##...##..##....##...####..##.#.#.#...#...#...#.##...#..#.##..##.#..##.#.##....#.#...########.###.##.####.##..##.########...###..###.#.##...##..#.#.##...##....#..###.#
..#..#..###.###.##.#.#.##....####.##..##....#......###....#.#.##..#.###..##.##..#...#.####..##.#..##.###.##.#.####..##.#..##.#.###.....#####.#..#....#.####.#.....###.#........#.#.##.#.##.###.#....##.#..#.#..#.######....#.#...###..######.#..####...###.##......#.#......#.######..#.##...##.#..####...#...####.###.#.####...#.##...#.###..#.#.###.##.##.#.#..##.###...####...#..#.#.....#####.###..#..#..####.###..##....##.#.##...###..##..##..#######..#....##..#..#.#.#.#.#####..####.##.#.#..##.##..##....#.#####.###.##...###.....##....#.#..#..##...###..#.#.#..#...#....##.#.###..#.#.#.....#####.....#.####.#.#...######....##..#....#.##.##...#...#.....#..####.###..#####..#.#...#.##...###..#####..##.####.##.#.#...#....##..#.###.....#..##.....#.###.#.##..##.###.#..###...#..#.#..#.#...####.#.....###.###..#.#......###..#.####..#.#.###.##.##..###....#..##....#...##.....##.#####.##....#.###.##.....###.###.#.#.#...######...##....##..####..#.###.#..#..##..###...#.#............##.##..#..######....##.###.######.#.#.##.#.#....#....##.#......##.#.####..###..##..#.##.######.###.......##.###...###..#.###..###..###..#..####...##......####.#.##..#.....#.#.#....##..##..##..##.....##.####.#.##..####.....###.#.##....##.#.#.#...#..##.#...#.#..#####.#..#.#..###.#.##...##.#.##.##.##....##..#####.#..#.###.#.#.#####.##.#.#.##...#...###....#...###.####.#..#####..##.##......##.##.#.......###.#..###..#####.###.##..#.##...##..#....##.....###.##..##.....##......##.#.#....##..##.##...#.#.#.##.###.#.#...###...##..###..#.#.......####..##.#..#####.....#.#.##..##.##....##..####.#....#.#...#.##.###..####.....#.#.#..#.###.##.#.######.#..#..#####.##.#......#.#..##..###..##..##...#..##.....####.###.....#.####..#.#.#..##...#.##.##.#.....#....#.##.##..#.##.#.#...#.......###..###.#....##.##....##..###.#..#.###.##.#.#.....##.###..#.#.###..##..#.#.#.###.####...#..####...###.##.#.#.#...###...#.#..#..###.###.##.##..###...###.##.###.##.#.####..##.##.......#...#.#..#.##.####.####.####..###.##.###..#..##..######.####..##..#..#.
.###.#.#..#.#..#..##.#.#...##...#......#####...#.##.#...###.##.##.###..##..#.############.##..##...#..##..######...#####.##..#..##.####..#.....##...###.###.##..####..#.##......#..###..##.#...#.###..#####.###.##.##.####..#.#..##...#..#..#.#....###.##..#..#.#..#..##.##.#..#.#.#.##....##.#..#####...##.########..####.####..#..#..##.#...#####.#..#.#.####.#..#..##..#.##.#.#..###..####.#........#########.#...#.##.##........#..#..##...#..#.####..##..#.#.###..#.###..#####.#..#.#.#..##...#.#.......######..#.####.....###..###.##...###..#.#.####.###.#..##.#.#...#.#####..###..#.####.#.#.##.#.#...##..#..######...####...#.#..#.#..##.###...#....###.......#.#.#.#.##..##..#####...#.#..#..#.###..#...#..#.#..#.##......###..##....#..##..#..#.....###.###...##.##...#.#.#..#..#.....#.####.#.#....#..###.#....#####...###..##..#####.#.#.#..##.#####..#####..#.#..#..####.....##...##.#..####.###.##..##.#.#.####.#.#.##...#.##..###.#...#.####.###..##.####.#..##....#.#.####.#.#.##.##.###..###.......##...#..#.##...#..#...######.........#......#####..##.###.#.##..##..#.##......#.##....#..########.#..#..#..#.######.....##..#.#..#..##..#..#.###..##.##.#.#..##..###..##....##...#.##.#####.#####..#..#.##..#####...#..###.....####......##.#..##.##.##.####.###...###..#..#.......#...###.#.#..###.#.####...#..##...#.....#.#..###.##.##.#.##..#...###....#.##..##.#.#.##.###...###.##.#####.#....####..####.#.####....##...#.#..####.##.#....#.##...######.#...##.##....#.########.#####.#.#####..##...#...#....#..#....##.###.#..#..#.#.#....#..#....#..#.#.##..##.##..#..#.##..##.#..###..##....#.#..#....####...#####..#.##.#.##...###.#####.#...##..#..##..#.#.#####.......#..##.#...#..##.##..#..#..#####...##...##.#.#.#..#..#..#.####.#.######.#.#..#..#...#.#..#...####...###...#.#######..####...#.#.####...#.###.#..##....####.#...#.#.#.##.#..######.##..#..#...##.##.#..#####..#..#..###.###.###.....#.#.##..##..##.#.#.###.###.###.#..#..#..#.###.###.###...##.##..##..#..#..#....##.#..#####...#.#...#..####..#.#.#.#.#...#.#.#.#.####...#.
####..###.#...######..###..##.#.#....###....######.#.###.#...####..#...####.#.####...#.##.#######.##.#####....#.#####.##..#.......###.###.######.###....##..#.....#..#######.....#.#..#..#....######..#####.#.#.....#...#...#.#.#.#..#..####.#.####.###.#.####.##.#.#.#.##..##.##.#.#.###.#.####...####..###.#..###..#.#....##...#####..#.#.##.#.....###.#.#...###.#...##...####.#..#.#.##.###.#.#....#.####..#.##..##..###.###...##...#.##.#.#.##....#.#.#..#.##.#.#..#..#.......#######.#..#......#.#.##..#####.##..#.#####......########.#..######.#..##.....#.#.##.##..##.#.##.......##..##.#.#..#.#..#.#.###..###..#...#.#.#......#...###..#...#.#.##....#....#.#.##.#..#..##..#......#.##..##..####...##.#####...#...#.#.#...#######.####.###.#.#..##..####..#.##...#........#.#..######.##...####.#.....##....#...#.#..#.####..##..###.....##.....##...#.#..#....###..##..#.#.#.#.##....#.##...#####.##.###..#......#...#..######.##.#.#..#.#...###..#..##..##..#.###..#.##..#....####....##.#######.....##.#....###.#.#...###....####.#...####.##.#.#.#..####..#.#.#...#.###.#......#....#....#..###.###...#.##...#.#.....##..#.#..#...#....#.#.#.#..#.#.....#..#..##..##.####..####...###..#.#....##...#.###.####..##..#.###..#.##..###..##.##..###.##..#..#..##..##.##...##...##.#.#...##.#..#..##########.#..###..#..#..#.##....#.#####..#####.##..##.#...###..##..##.##.###..#.####.##.##.#..####.###.#.....###.##.#..#....#.##...#.#...#.###..##.#####.####.#.#.####.#.#..#.#...#.#####..#...##.#..#..####..#.#..#.#.#..#..#.#..##..##..#.#####..#.##.###.....###..#...##..#.#...#...###.#.#..###.#..#.###....##..#...##..###.#.#.#....#.#.......#.#..##......#..#.......#...###.#....#...#.##..#...#.#..#.#....#.##.##.#..#...##.#.####.##..#...####.#....#......#.#.#.#.##..##..##.#...##.##.####.####.#.#...#.#...#####..#.#....##..#....###.#.....#.#########.#.#.##....##..#...#.#...#..#..#...#.##....#.##.#.#.###.#..##...#####.####.#.###..##..#.##..#...###.######....##...##.#.##.###.#........#.#.#......#.##.#...##.####.....#..#.####...##..#.....#.##
...##........#####..##..#...#.#...#...........#.#...##...........#.#..######..#.##...#.#.#.#.#.#.#.##......##.#...##.#.....#.##.###.###.#..####..#....##....#.#..#.##....##......##.#.###..#.#.##.#.####..###.#####...#.#.#.....#.#..#.#.##...#..#.#.#..##.#####.####..####.##....#.####.##...###.#...####..#.#...##.........#....#....#####.##.#..##.....#...##.#..######.#.####..##...##.#..##.#.##..#.#....#.#.##.###...#.#..######.###..##...##.#.##.##.###.#.##..#..##..#.###.###..###....#######.#.#..#.#.....#...###..#.####..#..#.#.##.##..##.#.##..#....#...#.#..#..#####.###..##.####..##..####.#.#.......#..##.#......##........#.#.####..#..#####.#.....##.##.###.##..######.#..###..#.#..####......##.###.###.#....####..####..#.###.#.###....#.#....#...######.....#.##...#.##.#.###..##.#....#.##..#.####...#.#.#...#.#...##.#....##....#.#..#.#.#...#####..##..####.....##.##..#.###.#...####...#.##.#.#..##.#..###.#.####.#####..##.#######......#######.#.#....####..#...#######.##.#.##.#......###.#.#....#.#..#.#.##..#....#..#..##.#.#.#.#.#.#..###.##.#.###...##.###...##..###.......#.##.##.#.#.....##..##..##.##....##...##..#..#.#..##...#.#..##.##...#..##..#.#...##.####.##..#....#####.##.###.####.##.##...###.##..#..#.####.##..##.##.#.##...#..##.##....#..##.#.######.......##....#...###..#####.#.#...#.....#....#..##...#.#.#....##...#.#####..###..###########....##....##....####..#...#.###..#.##.....#..#.###..#.#....#.#####..###...#..#####..#..#.#.##.#......#..##..#.#.#.#####...#...###.###.##....###.###.#.###.####.#..#.##....######.#...#..#...####..###...##.#...###.##.#.......###.##..##....###..####.#######.#######..#.###.#............#.#.##..##..#..#.##..###.##..####..##.#....#.#.##....##.....#..###..####.#.##...###.#..###.###.#...##..#.###.##...####.##.##....#...#..#.#####..###..#.....##.###..#.###.#.##.#.###.##########..###.##.###.#.#.##..#.#.#.#..####.#.###..##.#.##.#.#....####.#.#..##.....#.#.#.#...##.#.#.#.#.#...#..#..#..#...###..###...###..###.####.##.#..####...#.#####...#.#......#.#..##.######.
.###.#....###.##.#.#.##.#.###..#...#..#..####..#.#....#.#.#.#...#######.#.#.####.###...#..###........#...#.##..#.#.##.###.#..#....#..#.#..###.####.#...###..##.#.#...########.#.#.###.#.....#.##..#..#..#.##.#...###....###..##.#.#.##.##..#...##..#..#...###.##.#.....##..#..##.####....#.####.#...####..#.#####.#.#.#..#..#..#..###...#..#.#.#####.....##..####..#.#..#..#.#....#.#.#..#..#..##.##..###.#....##.#######..####..#..#.#...#.#.##..####.##..#...#..#.##.##...####.#.#..#.#...#.##.#.###....#..#...........#######..#....#....##...#..#..##...#.#.###.##...###.......##.#....#.#####..######..#.#.##..#..#....####..###.#..#.#..#.#.####.##.##.#..##.####.....##.#..###..####.#.####.#...#..##.#.###.#####.#.##...#.#..##.###...#.#.#.###.....##.###..#..#.#...###.####..##.###.....#..###...######.#..##.#.....#..###..##..##.#.#...####......##...###.#.....##.#####.#.#.#.#.#..#####.#.##....#######.##.#...###.........##.##..####.#.#.###.#.#.#.#...#.#.##.#.###..###....####...###.#..###.##...##..####..##....###..##.##.....#...##..#.##..#...##.#..#..#..#.#####.##..#.#...##..###.#.#.#.##.#....#.....#####.#.####...####..####..#...#.##.....###.#.##.#..##...###.#....####.#.##...###..#.#.##.###.##.#...#....#######..##...##.##...#####..##...#.#..####.#.##....##.#.#.#.#.######..####....#....#.#....#.###.####..##...#...#.###....##..#.##...#.#....##.##...#.#....#..#...#.#.##..#.#....#..##.#.#.###...##..####.##...##...#........#.####.#.......#.#.#..##...#.#..###...#.##.###.##..####.#.####..#.##.#.....##...###.###.###..##..#..##.####..###..##.##....#.....##..##...#.##....######.##.#.##...##.#......###..#.##..#######.#.....#..####.###...#.#.#....#..#...###.##.#.##...#.###.###.#.....##.###....#.##...##.#.#.#.#..#.##...#...####.#..##.#.####....###.##..#.##....####..#..#.#.....#.####.#.##..#...##..#.##..#.#.#.#......#.#..#.......###.####.##.....####..##.#...#..####..##.#.#.#.#.#.##.##.#.....#..##..##.###...#....####.##.#....#.##..##.#.###..#.##.###..#.##..##..#.....####.....#..##..#..#....##..###..#.#.#...##.
.#.##.##.#..#.#.#.....#...#.#....####.....##.##..#..#..##..##.#...#.#.#.#.#..#..##..#.##..###.#.....#.###..###.#..#.##...####..#...##.#.##.....###....##.#..#...##.###.#.#..#.#......#.##.#...#.####.#####....#.##.##.#...##.###.##.#..##.###..#..#..###.##...#..####....##...#.#..#.....#####.##.#####....#...##.###.##.####.#.####..##.#....#..###...##.#.#..##..#..##......#..#...#.#......#.#.#.####....#...#.#..#.#.###.##.###..##..##.######......##.###..####...###.#...#....##.#..####...####.##.....##..###...##.#..#..#..#.#..##.##..##..####..######.##...#.#.#.#.#...#.#.###..#.#.#.###.#.#.#.##...#..#.##########.#.####.####.#.#.#.#.##.#.#.###...#........#.....##.#..##...#.#....##..########....###...#...###.####..#.#.###..##.#.##.###.##..#..#.####...##.##..##....#.##..#.####...#......#...#.###...##.#......##.##........###..#..#....###..##.##...##..###..##..###.##########..#...##..##.###...#..###..####....#.##..##...#.#......###.#####.##...#..#.#...##...#.#..##..##...###.#.##..##.###..#.##.##.####.....##.####.##.#....######..#.#....#.#.#.#.#..#.######.......##.##..#########..###.#.#.#......##..#...####....###.####.#.#......##..##..#.##..#....#..##.#..#..##.#..##...#..##.###..#.#.##...#......#...###.##.....####.#.##..##..##......#....#####..#....####....#.##..#.###......##.##....#.##.##..######..###.#..##.###.#..#...##...##.##.........#..##.####.#..##.#.#.#.#.#...#.#..#.#.#..##.###.....#.#..#.####..##..##.##..###.##...####..##..#.###...#####...#.....#.####..#.####...#..##..#...###...#.#.#.##.#......##..#.#.#.#.....#.#..####.##..##...#..####......##.#..#..#.##.##.#.#....#....#.##...#.#......##.....##.####...#..#..#.###.####.##..###.##...#......##.##...#...#....##........#.#######.######.#.#####.########.###...#...#.###.###.#.#....##.#.##.#.##.####.##.#....##......#.#.####.###..#.#####..#.#####...#.....#.#.##..#.##..##....####.#...##..#.#....#.##.##.#...####..####..#.##.#.##.#.#.#..#...##...##..#...###......###.###.######...###.#.#.##.###.##.#..###..#.#.#.#.#######.#.#.#.##..#....#..
#.#.......#..###.#.....###....##..##.#######.##..#....#.#..##.##.###..#..##.#.####..##.#..#..#.###..#....#.###...###.#...#.....#.##########.....###.#.##.#.#.##....##...#.#..###.####...#.#..#####....###.#...#...#.##...###...#.#..#.#....#........##.####.#####..##.#.#...#..#...#...###..#######..#....#.##..#.###...###..##.#....#.....#..#...######......#..##......##.#########..#..#..#.###...#.#.##..#.#..###....###.#..#..##########.#....#..#.##.#...##....#.....#.####....####..###.##...#...#.#.###..######..###.#.##.####..#.......#.#.##......#.#.#.#.......#......#.#...##...####.###...##.....##..##.#...#..#..#.#..##..#..###.##..#.####...#...#....#..#####.###..#....#..#.#####..#.##.####..#...##..#####..##...#.#####..#..#..##.#.##.####.##.#.########.##.......#..#####.#####.##.######.##..#.##.#...##.###..#..#.#.#......#..#.#.###.#####.###...#.......#.###.##...#.###.###...##.#.###.#.#....########.##...#......##.####.##......#.###.##.#.#...#######....##..#.#...######.###...#.##.#.####.###.#.##...####...###.##.#...#.##..#...####........##.##..######.####.####.##.##.#..#..###.#....###..##...............##..###..##.#....##.##.##..##.#.#..##.##.#..##..#.#......#..#.###.##..#.###...####..#####.#.###..##..##.##..###...##....#..###...##.##..#..#.###..#...#.#.##.#....##..#.#.##...#.##.#####.......#...###.#..#...#.##.###......#.....##.##....####.#.....###...###..###.#..#.###.#######......#.#.###..##..#######.#####....#.##.....##.##.#..##..##...#.#...#......##.#.####..###...#.#..##..#.#...######.#.#.#.##.##.##.#.#.####.##.#.#.##.##.#.####.######.####.##...#.#.#.#.........#.##.....##..#...#.#...#.######..#..#.###..#..###.####...#..#.#.....#####..###..#####..##..#....#.##..#.##.######.#.#####...##.###.###..#.#...#####...###.###..#..###.#.###...#.####.###......#..#.#####.###.#.#.###..###.#.#.#.##.###.#..#.#..##.#.######.#...##.##.#.##..#####.#.#.#...#...#...##.....##.###..###.##.#.#......#.######..#.##.....##..##.##.###....##..###..#..###...#..#.##..#.###.#.#.#..###...#..########..##.##.###.#
##...#####..#.#.....#.#.....#..#..#.#.#.##.###.#..#..###.##.....#...###..#.#######.##.###......##.##.#####.##..#..###.###..###.##.#.#..#.##..##......#.#####.#.####..#.#.#.#.#...............#####.####.#.#.####.#.#.####.#.#.##.#.#####.#..#.....###...#..#.####......####....###.#...###.###.#..##..###.....##..######..##....#..#.#....#...#...#.####..##..#..#...##.######.#######.#.#.#####..#######..##..#.##....#.#####.##.###...#.#..###.#..##..##...#.#..##....#..#...###.#..##....#.#.#.#.###.##...#..##.#.#.##...#....####.#..#.##...###...#####.##..##..###..##.#.###..###.###.##..####..###.##.######.##..#..#....#####.#...##.....#..#...#.#.#........###..#.###.###.#.#.#.####...####.#..###.###.#.#..#..#.#####.##.#.###..#.##...#..#######..#....#.#.###...##...#.......#.#.#.#.#..##.##...#...####.##.####...############..#####...##.####..#..#...###.##.#..#...##.#.##.##.#....#####.....#.#...##...#.#..#.....##.#.#.##..#.###.######..##........#.#..#.###.##.##...#####.#.###.####....#...##..##.#..#..##....##.#.##.###.#.##.##.#.#..##.#..##.######.#.###.#.##....##.#.##..###...#.....##..###.#.##...##.####.#...#..##...#..##....##..####.#.#.#######..##.#..##.######..#.##..##.....#.....#....##...###.##.#.#.#.#...#.##..#..#.#...##....#.#.#..#.#.#.#...##.....#.#....#.####...##....#####..#.#..#######...#...#.#.#.#.#.###..#..##.##..#...##....###.####.#......##.#.#.##..###.....#.#.#.##.....##.##.#.....###...##.#..##.#...###.#.....###.....####...#.##.##.#.#.####.##.#..#.......##.........#.#...#.####.#.##..###.#....###.#.##.#.##.#.##.#....##..#####.#.#...#.#.#.#.###.#.#.#####.#.###...##.....#.##.#.#..##.###..#..#....##..#.#..#.#...###.##..........#..###.........######...##...#..###.##.#.#.#######.##.....####..#..###.###.#..####..##......#####..##..###.#.#..#.###.###...#..##.#.#.##....####........##..####.###.#...##.....##.##.#..#....####.#.##.#.##.#.##...##.#.##....#..#..#..###.#.#.##.####..#..#.#..#.##.#.##......####.#...###..#.#.##.#...#...###..#..#..####...#.###.........#.#.#.####..#..#######..#..#.#
#.#..#....#.#.#..##.##..###.###.##......##...###.#.###...#######..###.###...##.##...#..##..#..#...###.##.##..#...#..###.###.#.##.##.####.##..#####.###.#..#.#.##.#....#.##...#.####...###..#####..##.....###.#..#...###.#..##..###.######...#...###....#######..##...##...##..###.#.#..###.#.###..###......#...##...#####....#.##.####.##.##.#..#..####..#.#..#..#.##..#......#####.###.######..#..###.#.##.#.#.######.....###.##...###..#..#.#.#.#....#.###.##....#...#..#..###..#.##....######.#....#..##..##.....####.###.#.##.#.#####.#.#####.#...####.#...#..####...####..##.#..##......#.#.##..#...####.###...#....##.#.##...#..#..##...##.#...###.#.#..#.#...##..##.###..#.##....###.##.##.##...######.....#.#.#...###.#.##.#.##..###..##...#.#.#.#..##..#.#..###..#.....##.#....#..#..####.#....###...####..##.#...##..#..######.#....###...#.##..#.#.##.#.#.#..#.##..#..#.#.....#####...#.#..##.#.#.######.##.....#..##.###.#######..#.##.###.##.#.##.##..###...##.#..#.#.####..#.###.#.#.##.#.#.##.##.#..####..###.#.#.#...#.####..##..##.#.#....####......#...#..#.#..#...##.#.#.#.#.#.#.##...##..#..#####..#.....##.#.#..##.#.#.###.#.######..##.####.#.#...#.#..#...###....#....#.##.##.....###..#.###..##..##.##.#....#..#..#####.#####.##.....#...#.#..#.###.#..#..##.#.##....##...##..##..#.########.#########.#.####..#...####.#..####..##...####......#####..#.#.#.#.#..#.#....#.#...##..#####.....##.##...##.......###.....#####.#..#...###..#...#.#...########...#.#...#.#.##..#...####....###.##...##.#.#..#....#......##.#.###...####.###.#.######..#.#.#..#...#.#.##.##..#.#.####..#..#.###.#.##.#.##..#.####..##.##.#..#..###...#....#.##.##.##..####.######..#.##.#.#...#..##.#.#...####....####.#.###.##.###.#...#..##.......###..#.#...###..######.###.#......#...###..##.......#..#####...########...#.###.#.#..##..##.#.##..#.###.##..#.##.##....##.##.#..#.##.##...####.#.##.#.#.#..#.##...#.##.##..##...##..##.#..#.##..##...#.###...###..#...#....#.#..####.#...##..#.#..#.####.#...#..#..#.##.#......#.#.#....##..##.#.###.###.##..#.#.#..##.##
####...#.##...#####...#..#.....#...####..#..#.#.##.#......#.#.#..#.#...#.#..#..##.#.#.##....##...#.#..#..#..######.#...##...##.#..#.######.#.##....##..#....##.#.#.....#......###.##..#..###..........##.....##...##..###.#.##########.#####..##.#.#....#.####.#.#..#..###.#.##.#..#..#.##.#.#..#.#..##..#.###.##..#.##..#..##......#.##.#.#...#....#....##...###.#.#..##..##.#.........#..#####.#.##..#.#..##.#.#.####..#.#.###...##...#.##.#.##.#..##..#..#......#.#####.....#.#..#..#######.#.#.#.#..##.#.##..#.##.#.####...#......#.##.##..##....#.##.##.#...###.#...#.##...###.#.#..#..#..#..##.#.##..##...###.###...#..##..####.##...#.#.##...#...#.#...###.#...#.#..#.###..##.#.###..#......##..#.##.#.#.#...#########....###.##.####.######.##.##.#.##.#...##..#...###.#.#.#.##...##.#.....##.#.....#.###....#.#.##..#.##..#.######.##.####.###..####..#####.#.###....####..#####.#...##.####..##..#....##.###..#.#.#.##.##..#..#..#...##..##.##..#.#.#.#..##...#..#...#..#.##..#..#..##..##...#.##...#.#...#..#.###.###.#...##.....#.#.#.#.#.##..#..#.....#.....##..#.##.#....#...#.#..#.#.#.##..########.#...###.##.#..######..##.#.#..#...##.#.##.#.#...##.#.#.##.#.#.#..###.....#.###..#....##...#.##.#.#####...##.#....#.#.#####.##..##.###...##.....#.###.##.#..#..###.#..#.####.....#..#.##.##.#.##.#.##...#.#.###.###.#...##.####..#....##..##..#######...#...#.....#...##.##..####..####.......##...###.#..###.##.##..#.....##.##.#.#..#...#####.##.#.##...#.##..##.###..#.#.#..##.####.####...#...#...#..######.###.....#..##.####.#..#.##..#.##.#...##.####.#.#.....#....#.#..#####..####.#..#.##..#.#.##..#.....#...#.#.###....#####.#....#..##..#....######...#.###...#.#...#######.#..#.###....#..#.#..#.#.###.#..#..##.....#..#.#.##.#..##.#...#..#.##..###..##...#....#..#..##.##.#.#...###..#...###.##..#.#.###.#...#..##..#####...##..#.#..##.#.###....#####.#..#...##.###.#.###..##.#.##.##...#.....#.#.#.##.####..#####.#..#..#.##.#..###..##..###.#........#...###...#..........#...#.#..##.#.##.##.....#..#.##.##.########.#..####..#...#####..#.#
...#.#..#.##...####....###.#####...#.......##.#.#.#.#####..###..#..#..#.##..#..#..#.#......#..#.#.#...####..##.#.#....#.########....#..#..#.##...#.....#.##.#.##...##..###.#..#...#.#..#.##.#.###.....#.##.#..#.#....##...######..#.####...#.##.###.###.#.....#####...###...##...#...#..#....#....#...#######.###.##..##.#..#.#..##..#....#.#####..#.####.#..##..###..#..#..#..####...#.....#######......##..#.##..##..####.###.#..#.#.####.#..#.####....#.##...#.##.#.#...#.####.#......##.#...#.#.###.####.##.#####........###..##.....#.#....##.#..#..##...#.#..#..#..##..##..####.##..#..#..#.####..######..#..#.##..###.###...#..#..#..#...##....#.........#..#.##.##...#.##.#.#..#.#.#..###..###.#######.##.#.##.##.#.#....#...###.#.#.#..##.####.#.#.###.####.#..###..#.#..###.###.#.#.#..####....#....#.##....#...####.##.....#..###.....###....##...#..#.#####.###..#..#...#..#..##..###.#.##.##..#...###.#...#..#.#..##.##..#...##.###..#######..#.######.###...#.#.##.#...##.#.###....##......##.#...#######.....##.##...###.##.##..#...#####....##.###...###.#.....##.##.........##.###..##.##..##.#.##.##....#...#.#.##.###..#.###..#....##.###.##..##.####.######...##.#.#.###.###.#.##.###.#.###.##....#.......###.##....##.##.####.#.##.####..#..#..#...##.#..#....##.##......##.#####.#.##.##.####.....###.##..#.#..###....#.####....###...##..##.#.###..###.##.##.#..####..##.##..#####.##..####.#....###.##.#..#.#..#.##...###.#.#..#..###...#####.#.#...#...###..#..#...#.#.#..###..##..##...##.....##.#######..#..######.#...#####..#..#.##..#....#...##...##...#...#.....###..##..#.#.###..#.#...###.#.#.#.#.##.#..#..#...###...####.#.....###...#...##.#.#.....#.###.#..#....#####...####...###.....##.##..#..##.####..#.##.##.#.#....####....##.##..##...##...#.#.#.#.#.#####..##...##.##.###....##.....#....##.########...####.....##..#..##....#.#.......####...####.##.###....######....##...###..##.......#..#.....#..###..######....##.###..#.#..###.#..#......#.###...#.#.##.#.#####.##..######.#####.#..###.#.##.#..###..#...##.......#..#..###..
.#.#.####..###.#.#.#####..#...#.##...###.##.#...###.###..##.####.##..#.#..#####..#....#.#..#..##...######.###.#..#.......##.##.#..#######.####..#####.#.##.##.#..#...##..##.#.###..####...#....##.#.#.#...#####..#.##.#.#.###.......#.###.##..###.#..###.#..##..#..#####...#....###.#.#.#..#.###..#..##..###..#.##...####.###.#.#.##.#.##..#.##..###.#.###.###..##.......#.##..##.###.##.###....#.........###.#.##.#.##.##..##....#..#.##.##..###....#....#####..###....###....##..##...##....#....#.###.####..####.#.####..#####..#.#..#.#...#.#..#..##...#..##.###.#...###..##.###....#####..##.####...###.....##...#..###.######..##.#.#####.###.##...#...###...#..#..#.#.#.....#.#.#..###.##..###.###.#..##.#.##.#.###.#.#.#.#..#..#...#...#.##...#..###...###.#.###.#...###.##.#.##...#.#.#.#.###...#.###.##..#.###.#....#...#....#.#...#.#....#.#..#..###.#.#####.#######.####.##..#.#.....#.....#..###....#.###.###..##..#.####.######.######.......##.#...#...#..##.#.#..##...#.##...###.#.##.#####.##.##.####.####...#..#..#...###.##..##.#.####.####.#..##..##...#..#..#.#.#.#.....#....###..###....####.###..##.###...#...##.##.###.#..#....#..#.#...#.####.#.##....#.##....####...##...####...######...#.##..#..#.#####.##......#..##.#.#.#.##..##.#.####...#....#..##....####..#.#...#..#..#..#.#.##.###..#.#######..##...###########...#..#..#..##.##.#..#.#..##..#.#..##..##...#....##.##..##..#...##..####...#..#.##.#.#..#...#.#.#.###..###.####..#..#..###..###.#.#.#.#..###.##.....##.##....##.#.#..#.#..#...#.###..####.###.#######.###.#.##.##..#..####...###..##.....##.#.....##.##..##...###.#.#####...#....##.###.##.#.......##.#.#..##.##.###.##....####.#.#.#.#..##.###..##.#.#..#.##.###..#...####.#.#..####.##.#.##.####..###..#..#....#...###...##.#.##..##.#####.#..#......#....#.####.....#.#.######...###..#....#..#####....#...#..###.##...##..#.#..##..#...####..##.....#..#######.##.###.#..#...#.##.##..######..#..##.###...#.#..#.###.#####..#####..#....######..##..##.#.##.#.#####.#...#....#..##.##..####.##.#.#...##..#...###.###.#.###
##.#...#.#.####.#.#######.#....####.....######.######...#..#.###.####.##.##...#..#....#.####..#..#.##.##.......#..#.#.#..#.##.....#..########.##...###.##...##....#####..#.#.##..#..#.#...###..###.#...##..##.##.#..##.###..#.######.....#.###.##..##.###..###..##..###.#.####...###.##.....####....#.#..#.....#.#.#...#.#.##.....##.##.##.##.#.##.######.###....#..###.#...##.#.....####.##.#.#.#.#.#.#####.#..##.....#.##...#..#####..#.##.#.##.##.##.#.....###.##..#.#..###..#..#...####.#..##.....#.##...#.#.####.##.....#..###..#...##....#...#.######...#.##.#.####..##.#.##.#.#...####.##...#..##.#.####..#..#.###.#.#####.....###....##...#.#.##.##.#..#.###.######.####.####....##..####...##.###..#...###....##..###.#..#.####.##.#....#....#####.#..##.......#..#..#.##...######...#..#..##.#..#.....#...#.....#.##..#..##....#######.####.##.#..##...##.#.###.###..#...##..#......#.#####..###.##....#.##.#.#...###.###...#.#.....###.##.##.##.##...#..##....###.#########.##...#.#..##.###.#..###.##..#.#...####.#.##..#....####.#.###########...#.....#.###.##..#..####..............##.###.#.######.#.###...##..#.#.##.#####..#..#.#.#..#.##.#...########...#######.#...#.##...##.##..#..####..#.#..#....#..#####..##....#..###.##..........#...##..###.##....##.#.#.######.#########....#.##.#..###.##......##.#####..##.#..#.###.###.#......#.####.##.....##.#.....##.....#....####......#####.##.####..###..###..###..#.#...#..#.#..####.###...##.#..###.#.##...###.....#..#.###..#...#...###....###.#...#...#....###.##..###..###.#..###...#........##.#..##.#..#..####....##..#..#....#..##....###......##..##.##..##....#.#######.######.##..###.##.##.##..###.#.#....#.#..###.#.######..#.#.##....#.#.#..##...#.####.###.##.#..###.........#.##..#..#.#.#.#..##...####....#####...##..#...##.##.....##.#.###.#....###...#.##.##..#....#..##............##.#..#.#..####..#.#....#..##.#.##.....####.#...#...#.......#.###..#..##.##...######.#.##.#.##.#..####....#.##.##..#.###...#....#.##.##....##..####.....###.####.#..#.#.####.##.#.#.##...##.....###
#.###.##...##.#.##.##.#.#.#..#.............###...#..###..#...#..#####.#.###..######.#..###...##.##..######.#..#..#.#....#...##.#.##.###...####.......###.##.###.#.##..#..#####..#####..##.#.##.#...#.######........###.####.##.##..########.#.#...#######...##..#.#.#..#..###.##..###.#.#....#.##.###...##...####.#...##.#.....#.####.#.##.#.##.##.#.##.##.#......##..##..#..##..#.....##...#.#.##.##...#..#.###.....####.#.##.#.#...#..#....#.##.######..#.##....##.#.#.#..#####.#....###.#.#######..####.####.#.#.####..###.#....#####.#...####..#.#.#.#..#####.##...#..###.###....#.###..##...##.#.###.###.....###..#####.###.#..###.##..#.###..#..###.#..###.##........#.#..###....#..##.#.######....###..###..#......##.##.#.#.#.......###.#..#...####..####....##..#..###..##.##..#..#.#.#.#.##.#####.#....##..####.#.#..#.#..#.#####.#...##.##..###..#.#...#.#..####..####....#....##..#.#.###.#..#.##.##.....##.##.#..##..##...#.##.#.#.##...#.#..#..#.#..#.#..#...#.#####.##..#.#.#...##.......#..###.##.#..##..#...###.#.#..##..#####...#.###.##...##.#...#.###.#####.##....##..########.#.#..#.#.####..###..##.#.#..##.##..##.#.#.####.##....#.#..######.#.##.##...#.##..###.#.#..#.##.#..#..######.##...##.####..##..####...#....#.##.##.#.#...####.##..###..#....#.##..#####...#.##.##..##..#..#####.###.##..#..##..#..##..##..######..#.###..##.##.#.##.###.#.##.##..##.##.###.#...###..##.#.#.##.##.###.####.#..############.#.....###......####...######..####.##.#####...####.##.##.#.##.###.#..#.##.###.#....###....#.....####.#..#..###.#.....##.##.....####.#....##.....##..#..####..#...##.....#..###.##..##.#..#####.##.#.#..#.#.###..##.#...#.....#....###.###.....#.....##.#.###..##.##...##.#.#....#.#...#.#......#.#...#.###..#..###.#..#.#.##...#......#.#.####.##....#....#.....#.#......#.#..###.#..#.#.#...#.##....#.####..##.#..##.##.#.#.#....#..##..####..###.##.######.#..#....#..#...#..#..#...##.###.#.###..#..##.##...##.#..#.##.#.#..###..#.##..#...##.####..##.###..#......##.####...#.####..#.###....##..##..#.##.##......##....#.#####.
#######.####..##.#.....##..##.#.....###.#..##...............##......####.#.....#####..##.#......#.###..#.####..##.########..#.#.#...#..#.#....#.#.#.#..#.#.#.#####...#.##.##.....###..##...##.....##.#.##.###..#.#.###..##.##..#####.....#.#.#..####.##.##.###.#..#..#...##.###..#.###.###...#..###...#..###.##.#..##.#.#....##...######..#.###.##..#######.#..#######....#.#.##.#.....##.######.##..###..###.##..####.#.######...#.#....#.#..#####..#........#.#.##..#.#...#.###..#.######.#####.#....##.#.#.#...#.##.#.####.####.#.###..#....#.###.#.#.....#.....###.....##...###.###..##.##.###.##.#.#.#.#....#..###.#....##.##.###....####..#..###.#..##......#.#.###.#.#.#...#.#.##.#.#.#.##...###...###..##...#.#..###.#..##.#..#...........##..#..##.####..#........##.#####...#.#.###...#.#.#.#.....##.#.##..#.....##..#..##.#.#.#....#..#.##..#..#..#..###..#...##...#.###..##...#.#.#.....#.#.###.#...#....##.#...#......######..####..##.#.#....#..#..###..####.#...##.....#..#..#.##.##.....######.###....##.#######.####.#....##.#.....#....##..#.##..#...###..##...#....#..#........####..#.#..##.....#..##...#####...###....#..#...#...#.....#..##..##.#.#####.#...##..###..#####.#.####.##.#.#.###......###.#.#..##...##.##.#..##.##.####.##.#.....###.###...#..##.########...###..#######....#....#####.###.##.#..#.#####.##.....#.###..##....#.#..####.####.....##....#.##.#.###...###.######.##.#....#........#..#..##.#####.#...#.###..###.##..##.##.#.#.###...###......#####.....##..##.###.#....###.#.#..####.#..##...##..###..#....##############...#.#.#####.#..#.#..#..#...#####...####.#.#..##.####.###.#..#.....###.###.##....#.#....##.##.#......#..##.#.#.#..#.###..#..#...#####....#.####..#...#.##....#.##..####.#..#.####.#..#....#..###..#....#.##...####...###..##...#..###...#.#.##...######..#..##.#.##...##.....######..#.##.......#...##..##.#.#...#.#####.########..#....#...##....###...##..##......#..####...#..#..#.#.#.#.#.##..#.###.####..#.####.....##.##....###....##.##..###.#..###..##########..#.#.#.###..#####..#.###..#..####
.##...#.#..#....##..#...#...####.#.#...#####.##.#...###.#...##.###.##.#.######...##..##.##..####....#.#.#.#.###.#..#...#.####....#...##..#.#####..##...########.####..#..##..####.###..#.#.#...###....#.#.##....#.#...#...#....#.##..#...#...####..#####...##.#...#.#.........#..#.#..#..#.#....#..##.#.#######....#.#..####.####.####.#.##.....##...###.##...##....#..##.#.##.#..#.##.#.##...#.###.####.#..###.#.##..#..#...#.#.#.##.#.##.####.#.##....#.....#.###..###.....#.###..####.#..#....##########.....#..##.##....###########.#....##.##.##...#.......##.###..###...##.#..#.#....#.####...#...##..#.#.###...##.....#..#.##..#..##..#.####.###..#####..##.#.##.###..##..##..###..#.#.#..####.#.#.#..#....#....#...#..##...##.....#..###.#.#.#....#.#####.####.....#.##.##.##..######.#.###.##..#...#.#..#.######..#......##.####..#..##..##..#.#.#.#.#...#.#.#....#...#..#####..#..#.#..#####..#..#.##.#...##...#..##.##..#.##..#..#...#......#.#.#.####.###...##...######..##.#.#.##...#.#...#.###..#....##....##.#.###.......#.###.#..#..##.#####.##..#.###.###.##.#...###..#.#..#.###.#..##.####...#..#..##..##...##.#...#..#####.##..#.###..#..#..###.#.###...#.###...####.#..######....##.##.#..##.##.#..##.#.#..##...##........##.###....#####.#..##.#.#....###..#..#.#.....#.#.#.##.#####...#..##.#..#....###.##..#......##.######.###..#..#..###.#.###....##..###...#..######...#####.###..#.###.#...##.###.##.#######.#..###########....#..##..###.#.#.....###...#..#..#.#####..#.###......#.####.######.#.#..#.##....#..##.##..#.#..#.##.###.....###.####..#.##...#....##.....#..#####.#######.###.##.......#.#.#....#####.#.#..#.#.##..##.#.....######.####.#....######..#.#..###.####....#.....#....#.#.#..#...#.#.#.#####.....#.#.#..#....#.###.##.....####.####..#.....##...##.....##.#.....#....#.#..#.###.##....##..#####.####...#.#..#..#####.#.#.#..##.....#.###...####.#...#.#.##.###...#.####.#..#.##...##..#.#.##...#..#..#.####..#.####.#.##..#.####..##.#.##..###...#...###.#.###.#....##........##....#..####..##..#.#....#.###.##.##.##.#..##.
####.######.###..###..#...#....#.#.###..#.#.....#.##....#.#..#..###.#.#..#.#....##...#.##...#..###.#.##....#.#...#...##..#...#..#.#...#..##..#....#.#...#.#.##.#.....#.#..####.##.##.#.#.#####..#.####....###.#...##...#..##.....#######.#...#...##.#...#..###.#..#....#.#.##...#.##.##..##.#####..###.##..#..##.###.#....#.####.##...####.####....#..######........####.#....#....##.#######.#.##.#......#.#..#..#.#.###..######..#####.###..##..###..###.#.###.##.##.###..#.##..##.#....##..######..#....##.#.##..#...####.#..###.#...##..#####.#..#####..#.##.##......#.##.#..#......##.###..###.##..#...##.#....#..#.###..###...##..##.#....#..#....#.#.#..###.#.##....####...####...##..##.###.####.######..#.####.##..........##...#..#.#...#...#.##..###....#..##.##.###.#.##....###...#......#..#.#...##.###.......#.#..###.####.#.##....#.#.#.#.##....#.#..##..#..#..#..###..###.###..#.###.#..#####.##.#.#......#.#.###.####.#.#...##........#.##.###...#.###..#...##...####.#.###.#.##.#.......####..###..###...###..#.####..##.##...#...#.#.##.#...#####..###.#.#..#...###.#.###.....#...#....###..##.##..##.#.#.##.######.#.##.....#.#.##.##.#.......##.#....###.#..#..##...##.##....##.#..#.##...#.###.#..#.##..##...#..#..#.##..###..#......#..###.#.####..#.#..###...##.###.##.##.#.##...##.####............###.#.#.#..##....#.....#..#..###......#....##.#.#...#..####.##.#.#...##.#.##.#......#......##..##...###..#..##...#...###.#..#....##.#.#.#.#...###.##..#..#..##.####..####.#.####.#..###.###..#...###.###.#.#####..#...###..####..#.########.#.##.##..######.####..###..##...#.#..##..####.#...#..##.#.#...#..#...#.##...##.#.####..#..##..###.##.#...##.#.#......##.....#..#.....###......#.###..###.###..#...##...#####.#..#..#.#.#..#.#..##..##..#.#.###.#.###.#####....##.##..#....##########..####..#.#....#..##.##..####...#######....##.##..#.#.#...###...#..#.#.###.#.#.###.#.....##...#.#...#.##..#....#.###...####.....#.#..#..#...#####..#.#.#.###..........#.###..#...##.#.#..#.#...###.###.#..#..####...##....#####..######...#.#..#.#..
..##.###..###.###....#.#.##.#.#####.#..####.#..#.##.##.#####.#.#.#..##.####.#.#.#..#.#.#.#.#.##..#..#..####.#..#.#.#.##...#####..####.#..###.#.#..#.#.###.#.##..#..#...###.#...#..#...##...######.###..#..#..###..#.#..###.####.##.##.####.####.##.#.###..##.#.#####....#..#..#.##..#.##..###..#......#.#.#..#..#.#.##.#######..##.##..#....##......###..#.#.####.....#.#...#.##..#.........##.#.#....###.#...####.####.##..#...######..#...#.###.#.#.#.#.###.###.#..####...####..##.###...######..##...####.##.#.#.##..##..#.#..#...##.#####..#.##..#..#.###..#.##..##..##.#..##.##..##..#.##.#####.#.##.#....#...#.#.#.#.##..##.#.##...#.####..###.###...##.........#...##..###.###..#..##..##.####.#..##..#.#...##.#..#.#.##....##.#.##...#...##.#####.#...#...#####..#..#.##..###..#.#..#...#.##.#####.###....####...#.....#....####.#...#.....#.#......######..##.#####..##...##.#.#...###...#......#.#####...#.#.###..#..##.#..#.##.##...##.##..##..#.##..#...#...#.#.....####.#..#.#...#.##.....##.##.####..#..##.#.####.#..#.#.#..##.#..#.#.....##.#...##....#...##.#...#.##.#..#.#.####.####..##.#..#.#.......##.##..##.#.###.##..###.#...#..#.#..###...#.#.#####.###..##...####.#.##.##.#..#.######.#.##..#..#...#.#.....##.##..##...#.#..######.######..#.#.##.#.#######.#########.####.###..#..#.####.#.#..#####..#.#####..##..#.##########.##.##..#..#.#....##...##.###..######.#..###...###.####...#....#.#..#.##########.#.##..#.#..##.#.######..####..#......#.....#.......#..##..####..#....##.#..###.#..#####.##.#..###.#..#.....#.##########...##..###.######.####..##.####.#####.####..#.#..#...#......###.#..#..##..##.#..#.##..#.##...#.....####.##..#.##.##.###.###.#..###.#...###.###..#.####....#.##.#..###..#.....#####.#.####.#..#...#######.....#..#.#.###.#..#..#.#...#..###.#...##..####.#.#.#...###..#..##.#...###.###.#..##...#.#.#..#.##..####.##..###########..#...##..##.#...####......##########......#..#.##...#...#.#.#.######.###.#####....##.#.##....#..##..#.####..####.##.#.....#.#.##..#.###..##.#....#.#..######....#..###..#.#..###
.#.#..#.#.###.......###.....#..#.###..#.....###.#..#...#....#.##..#..#..#....##.#.#.##....####.#.#.##....##.###.##...####......#..#...#.#..#.#.#.##.#......##...###.#..######.##.#..###.##..##.#.#....#####.###.##.####.#.#..#.....####..#.#.#.##.#.#....#.#.#.##..##.#...#.#.##..#.##.#.##.#.#....##.##.#..#.#..####..#..#.###...#.###...#.######.##.#...#...#.#..#.####.####....#.#.....#...#..#...###.#.#.#.###..##.###.##..##..#.....#.###.##..#.##.#.##.###..#..#.#..###.####.#.##...###..##.###..##...##.###..##.##.####.#.###....#.#..##.#.....##.#...#####.#.##.##.#..#..##.#...#####..####.##..####...#.####..#..##..#....###..##.#...#....#....#.##..##.##..##.##...#.###.##.#....###.#..##.#######....###.#..###.#.###########....#.#.#..##.#.####....##.#..#.##.##.#.#......#.##....##..#####.....#.....##..##..####.#####...#.##.#..##.##...##.##.##.#..#.....###.....##..#.##..#.#...####.##.#.#.#.#......##..#..####.##..#.####..#...#...#...#....##...##..####.##.###..#.#..#..##.###.##.#......##.#.##.#.#....####.##..###.###.##........#.#..#..##.#.##..###......#..##..###...##.....###.....#.##..#.####..#.##...##.###..#.#######.##..###......#.#..#.##..#.#.#..#.#.#.####.##..#.###.#....#.#.#.##..#.....###.###...##..###.##..#######..####.#...##.##..##..####.#.###.....#.....#.##..###.####......##.#.##.##....##.#.######.#.####..####....#.###...###.##..#.#.#..###.##...#....##....###..##.###..##....#.....#.#.##..#..#.....#.#.#.##..##..#......#.#...#.#.......#..#.....##..#.#.#.#.......#####...#..##..#.###..##.#.#..###.#.###.##.....####..#.##..##.##.##...#...#####...##.#.#..#..####..#.####.#.#.##...#.####.#..##..#....#.###.#.#....##..#..#..##...#..##...#.##.#..#.....####.#..#.#####..##.#..###.#########....##.##.#...###.#..######....#.#....##.##.#..#..###..#.###.#######..#.......#.##..##..#.#.##.##.##.#####.#.#####...##.###.##...#.#.....####...#.#..####..#.....#.####......#.##.###....#..####..#.....###.#.#.#.####.##.##.#.....#...#..##..#..######..#.#...##.######.#.###...#..##..#..##.#..#....###...####.#......#
.#....#..###..#..###..###..#.#...#..#..#...#.#.##.#######....#..###..###..######..#.....#..#..#...######..###.#..#####.#..#...#.##.....#.####.#####.#####.#.#.#.###....#....#.#.######.#.#.#.#.#.#.#..#...#.#####.#.##.#.#.#.####....#..##..#.##.#..#.##.########..#.#...#........#...##..###..#...#.##..#....#..##..##.#...#.###.#.#.#.....##..#.###.#.###..#.######.##.#..#.#..#.###..#.###...#.##.##..#.##.#.####..#.#####.####..####...#.#.###..###.##.#..##.#...#.#.##.#.#.#.####..###..###.#...###.###...##.##.#.##.##.####.##...###...######.#.#..#########....#..#.#.###....#.#..#...#..##.#.######.##.#...###.#.#..#...#.#....#....###.#.####.###...##.##...#..#.##..#.####.##..#..######..#..#....###..##.###.###.##..###.......###.####.##.##....##...##.##...#..#.#.##.###.#..#.#.##...##.####....#####.#.#.#.#.###.#...#....##..#..##.#....#..#.#####..##.##.##.#...#.##...#..##....#.#.##....#.####..####...#.##..#.#.#.....###..##..#..#..#.#.##.#####.#.###..##.###..##..#.....#.####..##.#..#.....#.##.##.###.###.#####.###...##.#.#.##.#..#.####..##...##.#...###..######.##.##.#.#.#####.#.#..#.##..#.###.#.##.##.##.##..#..####.###..##.##...#.###.##..###..###.#.#....#.##.#......####..##.#..#..###.######....#....#..##..#...###..#....#.##..########.##..#.#....##..##..#.#.#..#.#..##.##.##...#......#....##.#...##.#..##.#.#..#...#.#.##.#...##..###......#.#.#..#..###.#.##...##.##.###..#.#.##.....###.#.##.#.#.#.#...###..#.###..#.###.#...#.####..#.#.#.#.....#.##...###.....#.##.##.#####...#.###.#......##.....#.##...#..#.#...#.#####.##.##.#.####..##..##..#.####....###.#.###.##.##..#.#.#.##.##.#...#.#.....#.....#.###.###..########..##...##.#..####.##.....###.#..#.###.#...##.#......#..#.#.#....#..####.#.##.#.#....#..##.##.#..###...#..##......###..###.#.#..#.#.####...##...####.....##...#..##.##...#.#..#.###.......######......#.##..#.#.###.#..##...#.#..##..#.##..#..###...#.####.....###..#.##...##....##..##.....#.#.######..###...#..##..##.#...##.....##.####..#....##.##.###....#......#.##...###.#.#####...#.#.###.##...#
#..#.#.#.##.####..####.#...###..##.#.#..#..#..####..#..##.##...#.####...##..#..#..#.###.#..###.#.##.##...###..###.####.##.#.#.#...##.##.#.#.#.#..###...#...###.##..#.##...#.#.#...####.###.#####...##.##..#....##.#...#.##.####..##..#...##.####.#.####..###...#..##.#..#.#..###.#.#.#..#...###.#.#..####..#...###.......##########..#..##.##.#..####.#.#.#....#....##....###..##.####..####..###.....#####.#......#...#.#..#...##..#..##.###..#.#.#####.#..##......#.####.##....#.####.##...##..#.....#...##...####...#...###.#...#.##.#...##....#..#..#.##..#.#....#..#..####.#...#.#.##..##.#.#.#.....#####...##..##.#....#..##.#.#..#.##..#...##..#..####.##.#.#..##...#.#......##..##.....#.##.#.##..##...###....#..#..##.....####....####....#..#.#..##.##.#.#.#..#.#.#.#.#.#..##.##.#.##..###########.###.#.###..##..###...##.###.#.#.##..##..#.##....##..###.##.#....#.#.#.#.#..#..##..##..##..####..###...#..##..##..##...###.#.##.......#..#.#.#.#.#.##....####.#.###.#.####.#...###.####......#.##.....##.##.##..#.###..######.###.......##..##.#.#.#.#....###.###.#.###.#.#.#....#####.#..##...#.#.######..#..##.##.#.#...##...#.##.......#.......#.##...#.##..####...#....#.#.##..#.##.#####.#.##.##...#..###.#...#.###.#....#....#..##..#..#...#.....#..#.#.#...###...#.##...####.#..#.#..###.#..###..##.#..#..#.##..##..#.###.##.#.##.#..#..###.#.#.##.##.###..##.####.#.#.#.##.##..#####...###.##..##.#.#...#.#..###..##.....#.#..#.#.#.##.##..#.###.##...#.##.###..#####.....###.###.#....#.######.#####.##.#.#..#..##.##.#.....#.#....#..#..###...####.#.#.##.#..##..#...###..##...#..........#.#...##.#.###..##.#....###.....#.....#.###..##########.##..##....###..###...#.#.#.##.##...##...#.#.#..###....##.#..#.#.#.#...#####.....##..#...#.#..#...#.##..#...####..###...#.#.###.#.#...######...##..#.#..##.###...####.##..##.#..##..#####.#.#.##.#..##....##.#.#..##..########.##.#......###..#...#....##...#..##.#####..#####.#.##.#.#.##.....###.#.#.###...#.###..#.###..##.##..#.#.......#.#####..##.....#####..#####.##.###...#.##..#.####.#.#..#.#.#
.#.#.#.########...#..##.##..########.....#.#.#####...##.#...#..##..##.#....#.##....###.#...##.#..#.#..##.#......#..#.#.#..###..#.#####..##.#..#.#.##.....#.##.#..##...............###.####..##.#..#........##.##.#..#.#.#.#.....##.#.#..#####..#...##..#......##..#.#####....#.##.......###.....#..#...#.#.##.#..#####.#..##.#..##.#.#.####.#.####.##..#...#....#####..##..###..###.....#...###.###..#######...##########.##..###.###..##...#..####.#.#.##.#...#####..#.#......#..#.#.##.#.#..###..#....#.#.#....#....#..##.#.#....##.....##.#..#.###....#.......##....#.#..#####.....#..##.#####...#.###.#....##.#.##..#.#..##..#...###.###..#..#.#.#...#.###..#####.##...#.#...#.##.#..#####.#.#.##.#.#..###.##...#.###....####....##.#..#.##..#.##..###.##..##.#....###..##.###.....##.##..#.#..#.###.#.##....#.#.#####.####...#.####.###...#.#.###.....#...#.#.....#..#..##..##..##...#.#.#.#.##..#.##..####.#.#..##...#..#.#.##.#.....#..##...#.##....###..##...#.##...#...#..##...####.#.###..#..####.###...####..#.#....#######..##..#####.##..#####...###.###...#.#####..#.##.#...#####.#..###.#.#.###.##.###.#########...####..##....##.#....##.#.#.#.#.##.....##..#.#####....#.###.###.#.###..##..#.##.#.#.#..#.####..#..#.#...#..##..##.####.......#.##.###...#.....####...####.#.##...#...#.##.##.....#..#.#.#.###...##.##..####...######.#..#####..##.....#..#.#.###.##..##...#######.##.#.#..#.#.####.###.#...##.####...##..#..#..#..#..##..####....#.#.####..###.#.##.#####.##..##......#.###.#..#..#.##..#...##.###.##.#.#..#.##.##.#..##..#..#.#####..#.#.##.##...##.##..#.##.##....##...########.#..#.#.#.###.##..##..###.#..###..#..##.###..###..##..###..##.##.....#.####.##...#.......#.#..##.#...#..#..#..#..##.#.####.##.##..###..#.##.#.#....#.#.##....#.###.#.#....###..#......##.#.#..##.#..#...##.#.##.##..#.##...#.####.#..###...######..#.#.#.####....##.#####.#..##..##.#.##...#.#...##....##.#..#.##.#####.#.##....##.....####.#.##.#..#..########.##...##..##########.#...##.##.#.############.#..##.###..##.........#....#####..###.###.#.##...
#.#..#.###.####.#..##.######.##......#.###.##.#..###..#.######.##.##.####.#####..##..#.##..#.#.####.##.#.#.#.##.#..##.###.#....###.##.##......#.#..#..#.####...#.##.##.###....########....####..#.#..##...####..#.##.#....##.#.#..#.##.##.#...###.##.#.#....##.#.##.......#..#.#.###...###.....#..#.####...#.##.#.....##..#....#..##..#.##..#..#..###..#.###.##.#.##..#...###.#..#..####..#.#...##.###..###.#.###.....#.######.##...##..#..#..##.##..#..######...##.#..#.##..#######...#.....#.#...#.#.###..#.#######...###..#...#..#.#..#...##......###.###.######.###....#.#....##..#....###.#..##...##.##.#...#.#...#..########..#..##...########....##....##....###.##.###..####.#..#####.##.#..####..######.....#.##..#..#.###.#.#..#....##.#.##..##.#.#....##..#.####..##.....#..#####.###..#.........###.#......#.#######...#.#.#.#.####.##...#..###.#....#.##..#.##.###..##.#.####.#.###.##.###.##.#.#.#...#.##.#.##..#...###..#..#...##.##.##...##.######.###.....#.#....#..#..##.##......#....##.......#####.###.###.#.###..##.##.#......#..#.##.#.#.##.#.#..##..#..#...##.......##..#.####..####.#....#....#.#.#....######.##..###....#.##....###....###..#.######.##..###.###.###.........###.#.#...##.####.....#.#.#..##..#.###..#.#....##.#.#.##...#.....#.#.#.#..###....####..#.#.#.#....#.#....#####.##.#.###...#...#.......#......#####.....########..#......##..##...#.#.#.###...#.##......##.#####.#.#..####...#...###..#..###.#..#.#.#...#.#..######....#.#...##..#.....##..#......##.##...##..#.###.#.....##.##.#....#.#..#####..##.####..###.##.###.....#.###..###.###.#.##.#.##......#....#...#....####.###.....#.#.###........###....###..#..####......#...###.#..#......###.###..##...#..#.....##..###....#...#.....##.##.#....##.####.......#..##..####.#.#.......#.###..##.##.#..###...####.##.##.#...###.#####.#.##.##...##.#.#.#.......#....#.....#.#...#.###..##.##.##.###.##..#.#####.###...#...#.##.#...#.#....#..#..##.#.##.#.#.###..####.#.###.###..##.#.#.##.#####.####..##..##..#...####...###..##.#.###.###..###.#....#.#.#..##...##....#..
#.##...##....###.###....#####.#..#####...##..#.#..####..#...#####..#..#...#.#.##.##.###..#.#.#..##....####.#..###...#.##...##....##..#.#.####.#.#..#.###.#....###.#...#...#.....###.##.#..#...#.#.##...#.#.#.#...##.###.#.#.##..#...#.#.#.##.##.#####..#..#.#..##.#......#..##.#..###.#..#.###.##.####.#..#.....#.....#.#.#.#....#..##..#...#.##.##..###...#...#.######.....#.#.####.#.....#.#....###...##.##.##.....##..#..#.###.####..#.###..######....##...#..#.#...#..##.#...##...#.#...##...#...###..##.#.#..#..###.###.#.#..#..###.......####...####..#####...#.#.#####...#.###....#..#..##..#....#...#...###..#.#...########...###.#.#..##.##.##..##..#.#.##.#.....#..###....#.#.#####.###...#.###...####.#.####.#.#.##.###..##.##....##...#...#.....#.......##..#..###.....##.#####..##.#...###..#..#...###..##.#...##########.....##...##..##..##.##..##.#..#.##.####..##..####.####.###..##..###...#...#.#....#..##..##.#....###..##...#####....#.#.##..##.###...#.....#....##.###.#...###..##..####.#..##..####.#.#..##..#..###..#####.###.######.#.##.#.#####.#..#..###..#.###..#......###...#..#...#.#######...#.#..##.##...##.##.#...#.####...#..#.#..#.#.#.....#...#.#..###.#.###..#####.##.#.#.#..#.##.#...##.####.#.###.#.............#.####.#..#.#......####.#..#.###.#.#.##.#.#..#####...#....##.#..#...#####.......#...####...#..##..##.##..##..#..#..#.#....##....#..###...#.#..#...##.#.#.##.#.###..#.#...##.###.##.#.#.##..###.####..#...#.#...#######.##.##.#..#######.#..###..##.######..###.#.#.###.##..###.##.#...#......#...#...####..#..#....#...#.##...##.##.#.#.#...##.....#.####.##.#.##..#..#.####......##....#..#.###..#..###..#####.#####.#..#.....#...#.##..###..........#..##.##..#####.##....#####.#.#....#.###..#..#.#.#...#.....##.##....#..###....##..#.#####..##....#...##..#.##.#.##..#.##..###.#....###.#.#.###...##..###.#...####....#.##...#####.##.#.#......##...#..#...####........##.####.#.#.#.#...##.##.##...##..##.####..#..##..####..####...#......###.#.###.#.#..#..#.##.##..#....#..##..#####.##.###.##.##..###..###.#...
##..###.####.##.#...####..###....##....#.####........##.#.#.##..###..##..#.#..##.#.#.....#.####.####.##....#.#.....#...#..#.##.#.##.####....####.#..##.#...##.....####..#..###...##.####..###.##.###.#.#.#..#.##.#....#...#..#.###....########.#..#.##..###...##..#..#..#...#.#...#.#...##.###.##.###..##..#.###..##.###..#.##.#.###...#.#.#.####....#######.#.###.....#..#....####.##..##.#..#.#.#.##..#.#.#.##...###....#...##....##.##.####.#....##.#.##..##.####.##..#..###.....###.#..###.##..#.#..#.#.#.#....##.##.....##.#....####...##.##...##.##..#...##..#.#.#..#.#.#.#..#.#...##.#.#######..#..#..###.#..#.##.#.#...#.##.##.##.##.....##.#.##.##.##.#.#####.......#.##.##..##..##.#..#...#.......#.#.###.###..##..#.####.##...#..#.#.###........##..#...####.##.#..#.##.##...#.#...#....###..#.#.##.#.#..###..#...#...#..###..##########.#...#.###.##.#.#..##.####..#..##..#.#..##.##.#........#.#..###..#####.#.......#####.#.....##...####...#.#..#.#.##.###.#.#...#.#.......####.#.###..##...#.#.#.##..#....###.###.#.###...###.....##......####....##...#..######....#....##.#..#.#.#.###...#..##.#.#.#.##..#.....##...#.##.#.##.#.#.###.##.#..####.##..#.#..#..#.......#..#..###.###.###.##...###.##....##..##.###....#.#.###.....##.#.###.##..###.####..##..##....##..##.#...##..###.#.#.#.#..##....#####..##.....##.#.##.###.#...#.#.#.#....##.........#.#.#..#.#.#.#..##..#.#..######.##.#.#.###....#####...#..####...#..#.##.#..#.##..#.#......####.#....#....#....#..##.#..#####.#.#.#.#.#.#....#..###....#..###.#...#..##...#.#####...###.#.#.##########.#.####.##.##..#.##..##......##........##...###..####.#.#.##.#.#.#.####.#..#.##...##..#########..##.#.......######.###.##.#.#.....#..#.#.##..#....#.##.#...##..##.##...######..##.##.#.....##.#.#.#.#..###.#.#.....#..#...#####.##.##.#.....####.##.#.#..#.##.....##.#.#..##.#.....##...#####..##..#.#...##..###.##..#.#..#.#..##..##..#..##.....####.##..####..####...#....#...#.#...#.##...#.#.#.#...#.#.##.#......##.#.####.##.####.....##.#.####....#.#.##.#######....#.#.........##.###..#..#
.#.###.###..##.....###.##...#....#..##.#########..###..##...##........#.....#.###..#.###.#...####.#.##.#.##..#...#...###.#..##........#.#..#..#...#...###......#...##.#.##..#....###....##...##..#..#..#.###..##.######.....#..#.##.####.#.......#.#.##...#####.##..#.##....#.##...#.#..#.####..####.#.#....##.#.#..#.#.#.....###...##.#...##.#....##....#..##..######.#..####.#...##.#.##.#.#...##.##.#......#...#...#.####.####.###..#.###.#.#....#..####.######..#..####......##......#.##.#.....#.#.##..###..###.##...##.##.#.##..###.###.#..#.#####..###.#...#.#####..#.#..#.##.#.#..###..#....##...#..#......###..##.#.#....#####.#.##..#..##..#.#..##.#.#...##..#..####.####....#.#....###.#...#..#######....##..####..#.....#.#.##..#..#......##..#.##....####.....#...#.#..######.#..#.#..#####.##...##.#.#.##.######...######..#......####.#.#.#...#...###.#...#.##.##.#.##.#.##..#..##....#..#..#...####.#....#.#.###.#..##.##..##.##.#.##.########.##.##.###..#.##.#####..#.##.##.##....####...###..#.....##..#.##...#..####.##.####..#.###.##.###...#.#...##.#..####..#.##...#.#.####.###.##.###.#..#.##..####.##.#.#####..#.#.#......##..#.....#..#.##.##...#...#.#####.###.#.#.##.###.#.#..##.###......##.#..#..#.####.#..#.###..#....#.##.#..#....###..#########.#.###...#.#..##.##..#..#..#.##..##...#.#.##....#..###.##.#.##..#..###..#.##.#.#..#.#.#...#......#....###.###.##.#...##.##.##.......###.#....#.##.#...#..#....##.##...#.#.###..#.#.####.#####......##.#..##.....#......#......#......##.#..#..###....#...##..#..#..###.###.###...#.##.##..##.#.##.####..##..##....#.##..#..#...#......##.......##...#.##.#######.##...##..##..#..##.###..#.####.#..#...#.######..###.##..#.##.#.#......####.##.##.#.#..#...#.##..###..###.#.##.#.###...#...##.#..#.##..##.#..####...#....#....#.#.#.##.##.#.########.##.###.#####.#####.#.##........#.#..##.########..#####......#......#.###.##...#..###.#...##.##.....##.....#.#..###.#..#.##.##..#.#..#....##.##.#.#.#.....#####.###.#...#.#.#.##..####...#..##.#.#.##.##.##..##.......#.#.####..##..###..#.#
##.....#.###.#..#..#####.#..#..###.##.###...#..#.#...##.....#....#####.#.#.#.#.###..#...##...#.##.##.#..##.#.#.#.#.##....######.#.#..#.########..#.#..###.###..##.#..##.##..##..#.#.#....#........##...###..##.##.####.##..##.#..#.########.###################.#..##...#.##.#..#..#.#....#......###.#....##....##..#.###..###....###...######...#.#.#.##.....###.###..#.##.##..#..####.##..#.##..#.###...###...######.#...###...#.##..#.#.#.#..#..##..#..##..#####..#.#.###.####.##....#..#.#.#..#...##..##...###.#.##.####.##..###.##.#...#.#...##.#..####...#..#.#.......###....#.#....#..###..##....##..###....#.....###########.#.##...#...###.#....#..##.###.#.#....##..#.#.####.#..#..##...##..#.....##..#####...##.#.##.#.....##.###..#...##...#.#.#.######.#..###.####..##.##############.#..############.###.##.#.....#.#######.#..##.#.###.#.####.##.#...#.#..#.#######.####.....##..##.##..#.#...#...#...##.#.#..##.##..##.##..###.##..##...###.#.#..###.##.####.#......###.....#.##.#.....###..###.####..#.#.##....#.#.#.##..#.#.####.#....##....##.###.#.#.......#.#..##...##..#..##.#...##.#..#...###...#.#......#.###..#.##..#.#...####..###...###..###.#.#...##..####.#.#....#.#....#...##.#.#...#.##.###..#......##..##.#.......###.....##..##..###.#...#.##....#.#####.#...#....#.###.##..######..#.###..###..##..#.#.##....##....####.#######..###...#..#.#..#.#.##..##..#.###..#..#....##.#.#.##....###...####.###..#.#...#.#.#....#.####.##....#.#.#.#..##....##.#.####..###.##..####.#.#...###...##.##..##.#.....####.####......######.####....###.###..#######.###..####.#....######..###.#..#...#.#....##..##.#.##..#..#.#.#..##.##.##..#...##.####.####....#.########..#.##..#..####.#..###.......###..#..###.##...#...#.##..#...#.###.#..####..##.##.##...#..##...#.##..###....#..#.##.####.#......#############.#....####....###..#.#.#..#...##.#####.#.#.##.#..#.#.#.##.###.#....#..#...####.#######.#.#.#..#..#..##..#.###..#.#...#.###....#..###...##.#.#..#.#.##.#....#..#.#.#..#..##.###..#.#..#...#.####..#...###..#.##...####.#.##.#.#..###..
#..#####..##.#.##.#.#..#...#....##...######.####..##.#.#....####.#..#####...#.#.#.###.##.##.#.##.#####.##..#.##.......#...##....###.#....#.#.#.#.###.##.#..#...##...###.##.###.#...#.#...#.#.#.###.#...#.#######.###.#.####..#.##.#.#.#..###..#.....#.#..##.##...#...###..##.#..#..####.#.##.#..#.#..#####..#.#####.#..###....###..#.###.##.#.#.#...#.....##......###..#....#..#.###.....#.#...##..####.#.####..###.#..#..######.####..#.##...##.#.#.#..##.#.##.####.#.#....#.#.#....#.....###.##......###.#####..#.#.####.##.######.###.#...##.#..#.#...########..####.#..###....#######.#....#...##..#..#......##.#.###.##.##.##...#.###...#.....###.#..#..#####....##..#....#######..###.....#.#.#######..##..##...##.##.##.######..##..###....##......###..#.###.#.##....#.####..##..##.###..##......#####.#...#.##.###.#..####..#.###..#..#.....#.#......####...#..#.#.#..##.#......#.######..##..#.##......#....#..#.#..###..#.###.#..####.#.##....#.#####.#####.#....#...##..#.####.##.......#..#.....#..##....##.#.#.#######.#..##.#..#####.....#..#..#####...###....##.###..##....####.##.#######.........###...#..#.#........#.#.#.#.##..##..##.#...######.#...##...#...#..##.###.####.#.###......#.###..#.#.#..##.###.##.......###......#......#####.#.#..###..#######.#..#.......#.###..#..##.##...#...#....#.....##......#...##.##...##...#...#....###.##.#...#.##.#.#.##..##..###.#.#######...#.#####.#..#....####.#.#...###.....#.#.....######.#.#####.##.#.##.####.#.#.....##.#.##.....#.......######..####.###.#.#..####.#.##.###......#.##..#.#..#.#..##.###.#.####.##..#.#####.##.###.#....##.#.#.#....####..#.#.#.#####.#.###.###..###.##.#...##.##...#####...#######..#..#...#.#..#.#.##.#.###.#..#.#..##..#...#...##....#..#######.#.###.####....###.#.#...#...########..######..#..#####.#.#......#...##..##...##....#..##.......#...##.###...####...##.#..######.##.####.####.#.#...##.#..#.#...#.####...##...#.##.#..#.#.#..#####....##..#.###.###.###.#.##..##.....#.###.##.###.#..#....##..#.##.#.###..##....####.#.#####.#..#######.#..#..#.#.#.####
.##.#####..####.##.##.#.##..#..###.#...###..#.#.####...#...#.##.###..###...###...#####.##.#..###...#.#...#..#.###.##.#..#..#.##.#.#..#.##..###.##....#....#.#####.###.#.#......##....####.##.##...##.##.#.##.#....#.###.####..##...##.......###.##.##..##..#.#...#..#...#.##.###.#.###.#.....#..##.###....#.##..#..##....##.##..##...#.##...#.###..#..###.#.###.#.###..#..##.#...#.##...#.####..#.#..#.########.##.####..##...##.#...###.#.#......##..#.###.##.#.##.##.##......#.....##.#.###...#.####.#.###........#..##.###..#.#....#...#####.###..###..###.#...#..#...#.##.##....#....##.##.....##..#.#####..#.##.#...#...##.#..#####.#.#.##.#.....###.#.#.#.#...##.##..#####...##.##..#..###.#..#.#..#########.#....###.##.#.#...#.#####.#....######...###....##.##.##.####.#.#..#.###.##.##.###..#...#.#..##.#..#..##..###.##.#.#.#..####..#..#..#####..####.###.#....#...###...#.###.##.#.#.#.#...#..#.##..##.#..#.#.#.#.....#####..###.....#...#....#..#..##.#......#.....###.#...##..#....#..#.###..#.#.########..###..##..#..##..##.###...#####.#####.#.##.##.##.#.#.#...#..###....#...####..##.####...#.###..######..#.#.#...#.##.##..#.#####..#####..####...##....##....##..#...#..#.#####.#.#.#..####..####.###.#..###.#.##...#.##..#..###..##.#..#....#...####.#.####.##.#.#.##..#.########.##.#.#.....#.###.##.#.#...##.#####.#####..#.###..##.#...#.###....#.#..#...#......##.#.#.#....#.....#..#.....#####...#.##.....#.#.#.#.#...##....##....####...##.###.##.#.##.##...#.#...#.#.#####.##.#.#...#.##.##...########.#.#.#..##..#####.#.#######..##.###..##.#.#####.#....##.#..#.####..#..###..#...#..#..#.###...###..###........#..#.####.##....######..####..###.###.#...###.#.##.#..#.####..#####.#####...#.#.#.##.####....###..#.#.#..#.##..#........##.#..###......##..##.#..###..###..###..#.#..#...#.#.######.##...##.#..###.#.#####...###.#...#....#.##.##.##..##...#......##.#..#.#.##..#...##.###.#.#.#.##.###..##..#..##.#.###........#..###.#.###...###..###.##..#..#####.###.....#..###...##...#.###....#....##..#.##..#.###..#...###..#...###.....
#.#.#..#...###.#..#.##.#.#.##.#.##..#..###.##.##.#..####.####..#####.##..#..#....#.#..#.#.#.##....#..#.##......#.....#.#..##........#.###.....#.##.#.##...#.#..##..####.##.##.#...#..#....#.#..#......#...##..##....#.#.#..###...###.###.##.#.#.#...#.#.#...#...#..#.###..####...####.#.#..##.###.#.#..#..#.###....#..#.##....##.#.##..#.########.##.########.#.###.#.##.#.....#########...#....#..#...###.........#...##.#...####.###.#....###.#....#..##.##.##....#####.#..#..##...##.....####.#.##.#.##...#####..#####...###.###.###.##.##.##...#.#.#..#...##.#....##....#...#.#.......#####.##..#...##....#...#.#...###...##...#..#.##..###.#.##.#..#...###.#.####....#........##.#.#...####.#..#...#.#..#.##...#.#..#######..#...###.#######.....####..#.####....####.##..#########.#..###...#.##..#.#..#..#...#.#.##.....##..#.#..##.#.######...#...#.####......#.......#..##.##..#..#..#...###.##...#..#.#.###...#.#.....#.###.#.###...#.##......#.###.#######...#.##.#..#.##.####..##..##.#.#..#.####..#..####..##...#..#.#..#..#.###.#.###...####.....#...#......##..#.###...#.#####.#..#...##.###.##..#####...##.#...#..#.....#....####..###....######....#.#...##.#.##.##..#..#...##..##...##.##..##.##...#######.##.#####..##...#.##.#.##.#....##...##.....#.#...###.#######....#...##.####..##.####.#.##.#.#####..###.#.###...#...#.#.##.....#.#.##.##...#...#...#...#.##...######.##..#.#.#...#..###.#..####.#####....###.##...##..##....#.#..###.###..#.#...##.#.###..###...#.#.#####.######.#..##..#.#.#.##.#.#.##....##...###..##...#...#.##...#.#..##..#.#...#.......#.#..#....##..##.#...##.#.....####.#.#.#.###....###.##...##.####.#..#.##.#.####.#.##.####.#.####.#.#.#.#..#..#.....#..##....#..#...#.#.#...#.#....###.....#..##..#..#...#.#.#..#......##..#######...#####..###...##..#..#####.....#####.#..##.###.####.#######..####.##..##.#....#.#..##..#..#.##.#.#..##.#......##.....##.###.#.##.###.....#.#.#.#...#..###.###.#.####..######.###.#.#.##.####.##..#...#..########.##.#....#.#####.#.#.#.##.#.######.##.#####.#.#..##.#.#.##...#...#..##
#.##...#####..#####..##.##....#..##.##.#..###..#.#.##...#....##.#.#..#..#...#....#.#.#..##..##.#....##.#..##########.#.####..#.#..#.#..####.....##....###.###.###...####..##.##.##..###.#...#.####.##..####.##.#...##.#.###.####.####...##.##.###.###...#.#.#.####...##....#####...#.##....#..##..#..#..##..#...####..#.##.##.#.#...####.###.#.##.....########.#..#..####.######.##..##..#.##...###.#..####...#....##....####.#..###.#..###.####.#####...#.#.#.#..###.#..#######.##.#..#..#.#.#.##.#...###.#.#..#.##..#....#.#.#.##.##.#.#.##..##.####.#......####...#.###.#..##.......#####...##...#.....#.....#..##.#.#.#..#..#..#...##.##.##.####.##........###...##....#.##....#..#.#...#.......##..#.##.#..#...##...#####...#......#....#.......###.....###..#..#.#.##.#....##.#####..#.#####......##.#...#####.#.#.#.#.#.#....#.#..##.#.####....#.#####.###...#..#.##........######..#.#.##.##.#.###..#.###.#.#....####..#.##....###...........#.###.##...##.#.....#.#...#..##..#.##.#.##..#..#..#..#.#.###....#..###.#...#...#..#..#.#.#.#...#..#####......#...#..#...###...#...#.####.#...#...###...####..###....##.#..###....#...###..#####.#..#####.#.##.####...##.##.#....####.###.#.#####.##.#...#.#..#....##...####..........#.#...###..#.#..##....####.##.#..#..#..##.#.###.#.#.###.#.######.#.#.#######..#.#.#.....##.##...#...#.#######.##.#.#.#.....#......##..#.##..########.##.#.#..######..###..#.##.####......##.##.##.###..#.#..#..#..#...#....####.##..####..#..#.##.##.#.##...###...##.##.#####.......##.....##..##.#.#.#.#....##...##.##.##..#.#####.#...#.###..##.##......#.#......#.#.###..###.####.##.#.#.###..#...##.#..###.##...#....#.#.##.......#####..##.##...############..##...#..#.#..#.#...#...#..#.##.##..###..##.##.#..##.####.####.#.#.####.#..###..####.#...#.##.#.##.#.###.#.#..#.##....#####...###.#.####.#.#.##..####.#...#.#....#.#.#.#....#..#####..##...#..##..###.#..#....#...##...#...#...##..#.###.###..##..#.#.#######...##.#####.##.#...##..##.#..##....#.###.#.##..###.##..##.#.....#.#.#.#.##.....####....#....###..#...##
.##..###....#.###.#..#..#.......###..##.........#.##.#.#.###..##.#.##....#.##.......#.#.####.....#...#..###.####...........#...##..#.####..########..#..##..#....#.#.#.#.###..#...##..#...##...#.###.###.#.#######.....#.##.#.#.##.##.###.##.##..##.#.#.###...##...####..#......#....##.##....#.....##.##......#..#.##.##..##..###.#....#.##.#.##....#..#.#.#..#.##....###..###.#.##...######.####.#..####.##...#.#...#.#..#................##...#..###.###.#....#...#.#..#.##.###..##..####..#..##.###..#.#..#.####...#.##.....#.##.#.#.#..###.#...##..#####..##.#...#.......##...##....#....##....##..###...#....#.#.#.##.##.#....#....#.......####.#.#..##...###..#.#.#..##..###..####.####.#.####......#.#...##..#...##..##.#...##.##.#..#..#..#.#...##..##..#.#...#...##.#...###..#.#.#####..##.#.##...###.#######.#.#.........#...#.##.....###.#.###..###.#...#.#..##########..####......##..###..#.###..#.#.##.##..#...#.#.#.#.###.#.##.###..#..##.#.###..#..##..##....#.#..#..##..##.....#.....#.###..#....####..##......#.....#####......#.#....##.#.###.#.......###..#####.##......#.##.##.#...#####....##.#####.#..##.#.#.##...#####........#.###.##.#...##..#.#...#.##....#.#..#####.......##..#..###....###.#.###...#.#..#..##..#.##..#.#....##...##.##..##..#...####.#....##.#...##.##.....##...#.#.##.#.##.##.##.##.#..#..###.#.#...###.#.##..##..###.####.##..#..###....#.#.##...#....#..###.##.##...###...............####.#####.####.#...####.#.#.#...###..#..#.##.##.#.#..######...#.######.#.#####.#.#.....#..#.##.#.###.....#..#..#.#####.##.###..######..##.....#.#.#..#.##.##.#.##...#....#....#.....###.#.##.##...#.###...#.#...#....#.########.##...#.#...#...........###.###.##.###.#..#######.#.####.#...#.#...##.#...####..####.#.####...#..###..##.##..#..#.###.#.###.......#####.###.#.###...##......#.#..####...#.##...#...#...#....#.#.##.##......#.##.#....###...#.###...##.####..####.#.###.##..#.#.#.#..#..###..####.#.####..##..###.#.........#......#.#...#.###....#.#.###.#...########.###.##..##..#####.#...#...##.###.##.##...##..#.#..#
##.#.#.##.#.##.#.#.##..#...#.#..###..####..#..##....#..##.##..##.#.........#..#....###..#####..##.#.#####.##..##...#.#.##..#......###.#...######.###.#.#...###..##..###.####.#.#..###.#.##.#.#.#.#.#...#.#.#....##......#..###.##..#.#####..####.....#..##.#......######.#.#.#...#..#...#..##..#....#.#.....#..#.#.#.##.###.....##.##.#..##.##.###.#..#..##..#..#..#.....#......#..#.....#....##..######.##..#..##..##.#.#.#.######....###.#.#...##.##..#..#.###.#.#.#####..####..##.##..##.####.##.####.....##.####...###.##.#.#..#..#..#...#.######.#.#...##.#.###....#.####...##.#######.#.##...#####...#####.#....#####.#.#.#.#####.##.#.##..#####.#.####.#.#####..#######....##.##..##.##.###..##....##.####..##..#.#...#.##########..###..#...#....#...#####.#....##......#...#...##...##...##...#...##.#.###....##.##.#..##.#..#####.#####..#.#.#.##..##..#..#.##....#.###..#.##...#.##...#...###..#.#...#..##.##.####.###.....##.#..#.##.#.##.####.##.##.#..###.###...#.##.###.#.#..#....###..#####..#..#..#....#..#.##.##.#..#####.##.#...##...###.#.#.####.....#####...#.##.#.#.######.##.#.......##..######..#.####.####.#.#.#.....#..##....#.#..##.#.##.#.######.#.####.#...#....####.###.###.##...##..#.##.##.###...#.#####.#.##...###.##.######.##...###.####.....#..#.###.##..#.......#.##...#..##..#..#..........#.##.##.####..##.#.#..#...#...##....####.#..#####.##.##..##..#..#....##.#...#.#.####.#.###.#...#.##.#..##.#.##..###.#..#.########...##...##...##.#.#.###...###.##.##..#...#...######..#.######.######..###...#...#######.....###..#.#.#..#.###.##...#....###.##.##.#..#.#...#.#.#.##.###..#.#.#...##..###..######...#....###...#...#.##.##..###.#..##......#....##.##..####..##.#....#.##...###...#######.#.#..#####.##.#..####.###.#...####..#.###.#...##...##.###....#...#####.##..####.#..#.##..#.#..#####..#..####.#.##....###..##.#...##......#.#####..#..##..#..##.#.#......#..####..####..#####.##..#..#...#.##.###..#.##.#.#.#.#.##.#..#..###..#.###...###.#..#.##.#.####...#....###.####.#.#.#..#.#.###.###.#....#..##.##..##..##..#..
#..##....#.##.#....#.####........#.##..#####...#.##...####.#.#..#..##.####.##..#..####.##.##...##....#.#...###....#.#.#.#..#.#####.#.....#..#...#.#.#..#.#....#######....#.##.###.#.####.#.###.#.####.#.###.###..#.#....#.....###....#..#.##..##.##.#.##..###.######...#.##....#.#.#.#.###.##...#...##..###.###..#.##.#.##.#..#...#..####..#####.#.#######.#######.##.####..###.##.##.#.#.####.##..#..#.......###.#..##..#####...##......###...#.###...#.#....#.###......#.#.###.########...#.###.####..#.#..#.##.#..#.#..#.##..####....#..#####.##....##.#.###.######..##...#.#.##..###.#.###.....##..#.#...#....###.#..###..#.#.##.#..#.#..######..##..#.##.....###...#....#.##....##....##.#######.#...#..####.#.#..#.##.####..##..#..####.##.##..###.#.#..###...#...###.####..#.#..#...#.###.#..#.##.##...#..#####.#...#..#...#.....#.###..###..#.##.#..##.....#.#....#..#..#.##..#.##..#.##.....######.##.#.#.#####.##..#####...##.#..#.#....#.#.#.#.#...#..#.##.#####.#...##..###.....#...###..##.#.###.##.#.#...##.#.....#.#.#.#..#..####...##.##.##.#...#.###.########.#..#.#..###.##...#.....##.###..#....#..##.##..#..#.#...#.#.#.##.#..#.#..###.#.#.##.#.#####......#...#...##..#.#..##.####...######....#.##...###.#...####..#.####.#..#.###..##.###..##.#.###...#.##...####..#.###.#.....##.#......##....#.....#..##..####.#...##..###.##..####...##.#.###.#........#.#..####...#...###.###..##.#.##.#.#######....##.#.##....#..#...#.#...#.##.#.#.#.###.##..#.##...###.....####.##.#..#..#####..####....#.#..##...###.#..#..#.#.#...#...#########.####..#.#...#.#.#####....##.#.####....#......####.#.##.....#.#.#.##.#.#####...#.##.#.##..######..#..#....#..#..#.#..#....#..#.#.#.#.#.##...###.#..###..####...#.##...#...#......#...#..##.#.#.###..###..######.#..##.#...####..##......#.##.##.#####.#..##.#####...#..##...###########.#...#..######.######..###...##..#..##.#.###.#.....#....#....#...#####.#.#..#.###.##..#.##..#.#...###....#.#####...###.###..###..#.#.#......#.####....##...##.......##.###.#.##.##.####.####..##.#..#...#.##....#.##..#..#
.#######..##.#....##.#.##..#.##...#.####.###.#..###.#.#.#.#.#.....#.###.#.###....#####..#..#.....##.#####.#.#.##....####.#.###...#....####.#.#....#..#.#.###.#...#..#.##.#.#.###...#.#.##..##..#.....#.###..###....#.##.##...#..#..######...#.#.#..#.#.#.#...###.#..##.####..##.#.###..#.#....#..#########..###.###.##...##.#.#...##.##...####.#.##...#....####.#.##.#..#.....#.#..####.#.#.##..###.##..##.##.......#.##.##.##.#.####......##....#.#....##..#..#.....####.#.##..###..###.#...#.#...#.#.##...##..#...####.....##..##...#.#.#..#.#####.#.#####...#.#.#..###...##.##.##..#.##..#.######...#.####.#..#####..#.#..##.....#.#.#.##.#.##.#.#.##.#....##..##.#..##..##.##.#.#.#####...###.#.###.#...##.....####.####....###.##.#...##.#..###.#...##..###...###.##.##.##.##.#....###.#.###.#..#...#..##...#####.##.#..###...##.#....#.##..###.##.##.#.#...##..#.#.###..##.#..#.#.#...###.#.####.####...#..#.##.#.##.#..#####.##....#.##..#..######.##..###.....##.#..####.###.#.#.##..#.....#####..###.##...#.##..#.##.##.##.#...#.##....#####.#.#.#.###..#..#.#.#####..##.#.###.#....#..#.#.##.##.#...####.....#######..#...#.#......###.#.##....####.#.#.#......###..###......##...#..#..#....#.....#...#.###..######.#.......####.##.#..#.#.##..###..##.....#####..#.#..##...#.###......##.#.#.###....#.##...#.###..#.#..#..####..#.#.#.#..#..#.....#...#.#.#####.#########.#..#..#..#..#.#.#..#..###.#.#.#...#......###...#......###.##..###..###....#.#..###.####....####.#.##.#..##.#.##.#....##..###...#.#...#######...#.#.#...##.###.##...##....#.....##.#...#.##...#.##.######.#.#.#...#.##.#.#..#..#####........##..####.#.##..#.#.##.#.#.#..#....#....###.###.###..##.#####.........####..####..##...#.....###.######.###.#....#......##.##..##..#...#........#.#.....#...#.#..#...#.###.##......#.##.###.#.######.#.#.###.##..#.##....##..#####..#######.###...####...#..#..#.##.##..#..##...####.####.###.#####..##.#.#.#.####.#######....##.#..#...##..##...#.##...#####.#.##.###.#.#..#..#.#.#..##..#.##.......#....####....#...##.###.##.#####.#..##...##
...#.##..#..###.#...#...#....#..#...#.#######.#.#..##.##.###....#..#.##....##.#.##.###...#...#...#..#.##.####..######..#.#...#.#..###..##.##.###.#..##..#...##.......#......#.##..#..###.#...##.##.#.##..#.###..##....##########.#.#.#..##..#..#.#.#####.#.#.......####.##........#...##...##..#.##....#.#..##...####.###..#.##..#.#.###.#...#..##....##.#.####...#.##.#.###.##.#.##...#.##.#####.#....#.###..#####.##....##........#.#.###..#.###..##.###...#.###.#..#.####.##.#####.##.#...#..#..#.###.#....#.####.#..###.###..##.#.#.##..##..###.#.....##...###.#....#..#.......##.#####.#...##.#######...#..###.#..###..#.#.###........###.##.###..#..#.....####....##...#..##.#..###.#...##....##.##..##....#.##...#.#...#.#.##.....#..#.##.#......#.###..####.##.#####.#..#.#.#.#..#.#####.#....#.#.#.#..#...#.#..#.#.###.#..##..###..##.#.##..#.#....#..#.##.#.......#####.......#..#...#...##.#.#..#.#..#.##..###.#..#.###...##.#..#..####....#.#..#.#.#...#####.#..#.###...#..#..#...#..##..#....##....##.#.....#.####.#..#######.##......#......#.##.###.#..##...#####.##.#..###..###........###.##.#.#.#####..#.....#....#.#.....###.#.#####.###..#.....#..##..####..#...#....###........#.............####..#######.###....##.#....#..####.#..#....##..#.#.#######........###......#...#..#....##.##.##.....#...#.#...##.###.##.#.##....#.#..##.########.#.####.....##..###..##.##..##.#.####..#.######...##.#.#.#..#..##..#.....#...#####.#...#.#..##.##..##.#.#.#...#.....###.#..#..#..#..#...#.#....#...#.....##.#.#...#.########.##..###.##..###..##.##.#.#.###...#..#..#.###..####..#.###..##..##.##...#####...###..###.#....#####...#..###...####.#.#..###.#.###..#....##.#.##...#####.##.#.##.###########.#....#####..#.....#.#.##...##..##...#.##.#...########....#..######.###..#.###..#...#.#.######..#.#.#....###.#.##.##.#...##.....##....#.####.#.#.#..#.####.#...#####..#...######....#...###.###.#..##..###..#.#.##.##.#.####...#..###..#.#.#.#...#...##.#.##.#....##....###.#...#......#..##.#.#..#..##.#..#.##.###..#.#....#...##.##...#.##.#####..
....#.#......#..#####..###....#...#.#..##..##.#.####.##.##.########.##.#...#.#.#..#.##.##..#.#..##.##.##.#####.....#...#...##.###....#########.#.##.#.#####....##..###.###..#..#.#...#.#.#.#####.#.##.##.##..#..#.####..#....#..#.##.....#.#.#####.#..#####..#.#.##.#..#.#..##..##...#...#...#.#.##.#.###.#..#...#.#.#.#.##.#.#.#...##..#..#..##...#....#..###.#.....#.#.##..#..#..###.###...#.#...#.#..##.#.#..#..#...#####.##....##..####.#..##.###...#..#....#..#..#.#.#.#..##.#..#.##.#...#.#.####.#.#..###.....##.#..#...###...###.#.##.#.##....##.#.#....##..#.#...#..##.#..#..#...#..###.#....#...##.###.#.#...#####.##..##.##..#.##.....#...#.##.######.#..##..#.#...###...##.##..#.#.#.###.####...#..####.#..#..#...##...###.###.##.#.#.#.###.#.##.##.#...###...##..#....###....##.#..#.#.#.####..##...#........#.####...........##.##.##...##.#.##..#####.######.#...##..#.#.##..#.#..#...##.##..#.######.##...###...#.#.###.....#.#...###...#####.#.#####...#.###.##.###....##..#..#.....##.####.##..###.#.#.####.#..#...####....#.#.#.##.#..#.###.....##.....#.##.##.#####.#..#####..#..#.#..##...#.###...#..##..#...####...##...#...#..#.....##.##...##.#..##......#..#..#.##.###.#...#....#.#...##..#.#.##..###.##.#.#.###.#.#...##.##.####.#.#.#..##.##...###.#....#.#.....#..#...##..#..#####.##..#..#######..#.####..###.#####.#...#.##.#######.....####.###.....##..##.###.######..#....##.#..##...##.#....#...#....##.#.#..##...#...##.#.########.#.##...#.....##....#########..##.##.##...##......##.#####....#.###.###.##...##.#####....###.##..##..#.#.....#...####.##..#.#...##.####.....####.#..#.###.##.###.##.#....#.#...#..#.#...#...#########.........##.##.#....###.#...##.#.#.##.###...###..##....#..##.....#..#.#.#..#...###.#.###.###.###...#.###.....###.#.##.##.#...####.#.###.##..###.##########.#.##.#..##...#.##.#####.......#####..#..#........#..#...##.##.#..#.#..#.#.#####.#.#.#..###...#.##.##...##....#.###.#.###.##.#.#.#.#.#.#...##..#.#####.####..##..##..#.#..########......###...#..#...##....#..##...#..##..#####...#.#...#.###
#..##.#.##..#.#..##..###...##.########..####..###..#....#.#....#.#####.##.##.###.##.#.#####.##.#...#.##.#.##..#........###.##..###.#....####.##...##.#.#.##..##.#.#.###.#.##..####..#..#..###.####.##...###.####.....#.##..#..##............##.#....#.#..####.#..######.#...###.....##...##.#..##.#.#.###..###.##.#...#.##########..#..#.#.##..#..#.#.#...##..#.#####..#...####.#....##..##.#.#.###.#########.##....#..###.#.##.####..####...#.#..#.####..#..#..######.#.#...##..#.#####..##...#..#.###.##..#..###..###.######.###.#..#...#.##.....#.....##.#.###.#...##.#...#..#.###..#..#....#..#.#..#....###.#..#..##.#.##.....#..........#.#....#.#.....##...##.#..#...#....#.#..#...###...#.#...###....#####...#......#####.#.######.#..#.##.....##.####..###.##..###.#..##..###..####..##.#...#....#.##..##.#.###.#.##.#...##.###..#.####....#.#.....##.#.###....#.#.##.#.#####....###..#..##.####..##..####.#####.######.#.##..#..#....##....#.#.##...##.#...#.##.#.#.###..#...###....#..####.....##...#.###.###.#.#.#.#...###......#..###..###.##.#.##.#.#..#...######...####.#.#####.##..#.#.#.###.###..#..##.##.###.#..##.#...#.#..##.##..#.#...#.#.#.#..##.##..#..#.#.#.####..#...##..######.#...#....###.##..###.##.##.##.#####..#########.#####.....##..##..#.....##.#....##...#....##.#......##.###.....##.#.....##.#.#..##.##...#...#.###.#########.#..#######.###.#.###..#.##..###..#...##.##...##..#..#.##...#..#..#.###.....##.####...#.......##....#.#..##....##.#..##...#####.#.......#...###.#.....#..##..#.........#......#........##.#.#.#...#.##.#.#.#.#.....#..##.####.#......#....#..#....#..#..##.##....##..#.#......##...#.#.#..#.#...###..##..#...###.#.#.####....##.#.###.#.##..#.#.#..#.####...##.#.####..##..###.##.###.#..##.......#.##.#.###.###.#.###.#..#.#.##...#...##.....###..#.###...#.#####.###.#####.##.#...#####.#.#...###..#......##.#######...#.##.#...##.#.#...###......##...#.#.#.##.##...#.#.###.#...##..###..###..#.#...#.#.###...#.#.#....#.#...#....#.#....###.#..##.###.#......#.##.##..#.#.#.##..##....#.####...#.#...#..##
.#.#..##.##...#..#.##.#.....##..#..####..###.##.###..#.##..#..#.#.##..#..####.#.#...##.#.#.##....####.....##..##.#.#......####.#..#.......##..#.##......#..###......#.##.###.###..##..####.###.....##...#.#...##.#####.####.#..##.#.####..#..#...#..##...#...#.#####..##..##....#.....##..#.##.##..#..#####..#..##....#.##...#...#...######...#...#..##.###..#..#...####..##..##..####.....#.##.##..#.####.#.###.#.#..####...##...###.###.###.#...##...#..#.#####...#.#..######.##.##.##..###.##..#.#.#....##..##.#.#...##..##..#..##.#.#...####.#...###.#..#####.#...#....##....#.....######.......##..###.##..##.###..#.####..#.###.#..##.#...#..##.#.#.#..#..#...###.###.#.#.#######....#..#..#..###....####.#..#...###......#.#..#.#.##.....#####.....###...#..#......#.##.......####..#########...#######.###.#.....#..#.##.####.##.####..#.##......#.##...#....###..###.###........#####.#.#.#..##.##..###.#.##..###...#..##.##..###.#.#.#...#...##..#..#.#...#.#...##.#....#..#..#..####..##..#.###.#.....##.#...#....#..######.#####..#.#...##..###.#.#.###.##.#....#..###.##..#.#..#.#.##.##..##.##...#..#.###..###...##...##.#..###.##..####...####.#.#.###.#..##..#.##..#.#####....#.##.####..###...#######...#..###.#####.#.##.###.#.#.....#.#.##.#####.###.##.####....##..#.#####.#...#.#....#.##...#.#.#.#..#.####..##.#####..###..##.###..####...#.####...##.###..####..#....#.###.#......#.#.#.#..###...##.##....#.#..#..#....#.##.###.##.##.##..####.#..##.#..##...#...#...##...##.#.#####..#.#######.#.#......##.#....####..#.#.#...#.##......#...##..##..#..#.#.#.##..#..#.##..#####.#.##.#..###..#...#.#####...#.#.##.#.##..#..###.###.......##..#.#####.#...#..######.#..#######...##.#.##...##.#..##.#...#...........##.....#.##..##..###.##.#.#......##....#.##.##..##.#.#..##.#.#.#####.#.....#.####..###.##...##..#.###..#.#.###...#..#..#.#.##.##.###.#..#..###.###.#.##.#.##.##....###....#######..#...#####..##.......#......##.##.....####..#.#...#..##.###.#####..##.###.#####.######...##....####....#.#.#.#######.##..#..#...##..#.##..#..#.###.
#..#..#.....##.##.#.#...#.......#.#.##.#..#...#..###.#.#......#..##.##..####...##..#.#.#.#.###..###.#####.##..#.#..#####..#..#.#.###..#...####.##..#...##...####.#..#...#.....#.#....#..####.#.##..#.##.#..###..#...#.##.##.#.####..##.##...####.########....#.#...#..###.#.#.#..##.#..#.#..##.###.#.####....###..#...##.#.##..#.#.#..#####.#.###.#.#.###.#..#....#..###.####..###.#.###...###...##..##....#.#.........##.#.##.##.#....#...#.##..##.#.#.##.#....####..#..#.#.##.##...#.#......##......##......####........#.#####..#...#..##...###.#..#...##.##.####.......#...........##.#....#.###.####.###....###..###.#.#.#.##.#...#....#.#...#.#.......#.##...##..###.#...#.#.########......#.##..##..####.#.#.#.#.#...#.##..##...#######...........#.##.##......#..#..##.##.....###.########.#..#.##.##.##.###..#.##.##.#####..#.#..#.#.###..#.#.##..###.#.##..######.#.....#..###.##...##...#####...##..#....#.#.##.#...####.#####...#..#.....######.#..###...###....###.##.##...#..#..###.###.##....###..##..####.#...#.#.....#..#.#.###.....#..######.##..#.##..###.#####..#..#..##.#..#.#.##..##.#..###.##.##.#####......##.#..#####..#.#.......###.##....#...##.##....#.#....#.##.#.##.#.##.##....#...##.###...###.###..#######.....#...##....#..###.###.#.#..##.#...##...#.#.#..##....##.#...###.####.###.#..#.###.##.#...###.#.#.##..##..#.##...###.######.#.##.#...##.##...#.#.....#.##..###.#.....##.#.##.##.#.###...###...#..#..##.#..#.#.###.#.##.##....###.#.####.#.#.###.#....###.#......##.#..........#....##.###.##..#######.#.###....#..#.#.#.###.#..###...####..##.#.#######..#.#.####...####...##.##.....#####.###......#....##.#.#....##.#.##.#.##.##...#.#..#.###.....######.####..#...###.##..#..#..#....###.###..#######..####..###..##.#.#...#...#..#.##.##.##.#.#.#.....#.##.........#...#.##..######.###.####.##.##.##......#.#.####....##.#..###......#...##.##...#.#..##.##.....###..#.#####......##.#.#####.#.#..##########.#.####.#.....##.#####..#.#..####..###..#..########.##.#.......###...##.###...###...#.######.#.#..##.##....##.##.##
..#####.#.##.#...#..#.#.....##.##...#.#...##.#.##.###.....#.#.###.##.###.......###...#.##...#..#.###.#..####.#....#..#######.###.#.##..#####..#.#.#.##..##...##.#..####.......##.....#..#.#.##...###.#.#.###.######.#.#..####...#.#.#...##..##.#.###.##.##....#.#.###.##..#.#.##.......#.#.#.#..#.#.#.#...#...##.#.#.#..##...###..#.#.######...#..##.#....#..#..#..#.#.##....#..#.#.#.###.###.##...#.#......##..##....##....#.#.####.#....######...#..##..##.#...##.#.##..#..#.###..###..#.###.###.###....###.####....#..##.#..#####.#..###.####...####.##..#.#...#...#...#...#..#.#.#.#.###...#..##..#..######..#..#.####..#.#..#.....#.##.####.###.#####.#.##..#........#..##..##.##..#..#.####...#.#.###.#.#...#.##.######.#...####.#...##.#..##..####....###.......#.#...#.##.###.#.###...#.#....#..##...#...#.#..###.#####.#.##.....##......#..#..##.....#.#..#...#########...##....###.#.#..###...###.######...#..##..#.....#..#..#.#.#.#..##...##.#.#....##.##..#........###.#.##.#.#..#.##...##.######..#...#...##...#..##.##..#.....#..##....####..#.##...###.####..##....##.##..#....###.....#####.###.##.##.#.#...##.######..#..#..##.###..#.####...##.##.#..##.##..#..#...##..#####..#..##...####.#####.##..#...###.#......###....########..#...##..#..#.#####...#..#....##..#.#.####.....#...#.#.##...####...####..#.#.#.#.#..##..##.#...##...##.###...#..####....#.#...#.#...#.###..#.###.##.##..#..##..#.##..#..#####......#.###.#.#.##..#..#.#.##...###........###.#.....#.##.#..##.##.#.#.##.#.#.##...#.####..#.##..##..#.#......#.###..##.#..##..##..#.#####.###..##.#.##.#..##.##..##..#.###..##.##.#.##.#.##...##.###..####.#.##...###.#......##...##...##.#.##..###...###....#..##..###..#..#.##.....#.###......#.#...##..#.##....##.##.#...##..#.###.####.#..#.##..#.#.#.###....#...####..#####.#..#######..#.###..#.#..##.#.#.###...#..#.##..####.#.#..#.##...#....#..#.#....#....###.###...###...#.###.#.###...#..##.....##....#..###.##.#..#.#....####...#.##...#.##.###..#.....#......#....##..#..#.#..##..#..#...#.#..####...#.#..#######...#.#...#.#
#...#..###.....###..#####.#.####.#..##..#.....#.##.#...#....#..###.#.#.###...####......##.....#.#...#.###...##..........#.#..###...#.###..#..##..##......###..#..#..#.#..#.#..##.#.#.##.##...#..#...#...#####.#..#..#.###..###.###..#####.#####..##..##.#...#....###.#.###..#.#.#.####.#.####..##.##...#.#.#.##..##....###.##.##..####..##....##..##...#...##.#....#.#..#.....#.#...##....####..##....#.....#..##..#####.#........#..#...#.#.#..##...#.#..#..#.##.#...#.......###.#.#..##.##..##.......#....##.#....#....#.###.#.#.#.#..#.##.#.#.#.#.#.##.#.###....##..###.##..#..#.....##.##.####.##.#.#####..###.#...###..##....#..##.#.#...#..#....#.#.####.##.#..##.##..##..###.#...#.######.#######..#.##.##.#.###...######.###.##..##..#..####.##..#.#...#.###.........#.#....##.#.###.###...#####...#.##...#######.#.###.###.#..##..#...#..#.....##...##.##.#####.#.......##..#.#.#.#####.##..#..##..#.#######..#...#..##....###.##.###.....#####...##......#..##.....#..####.##.##..##.#####.##.#..##......##.###...#.##..###.#.##.#..##..###..#..#.###...##....#####..#...#.#.##.#....##.##.#..##.#.#.#.##...#.##.####.....##.######.#.#.....#....###.##.###..##.#..###.#.#.#..#.###......####.#.#.#...#.##..#...#####.###..####..##.#######.####...#####..##..##..##.#.###........####...###.#.#..#.#.#.####....#.#######..##..##....#..###.###....#.###...###...###..##.##..###..#######..#.####..##.##..#####.###.###....##.##.##.##.#.#...##...##.###.....#.....#.########.#....#...#..#.#.#..###...#..#..###.##...###....#.#.#....#....#..##....#.####..#..#.#..###.#.#.###.#..#..#.#####..#####.#..#.....#..#.#####.....#.####...##.#..##....##.##.####.#...#######.#..#...#....#.#..#.#..###.....#....#.#.#....#.####......##.####.##..###..####.####.....#...####.##.#..#.##..#.##..#..###...##.##.###..###.#.###...#....##...###.#.#####.#......###.....###....#..####.....####......##.##.##.#.#####.#.##.##.###.####.....#.#...##.##....#.......#.##.##......##.#####..###.###........#..##..#..#...#.##.#.#...##.#..##....####..#####...###.#.###..#..###..
##..#.###..##.....##.#.##....#####......#####.#####.#######.#.......##.####..#.##..##.#..#...#.##...#.##.#..#.##.###......####..#..#.....#..#..##.##...#..###.#..#.#....##.####..##..##.##.###.#...#.###.####.#.....#..##.#..##.##..##..####..#####.....##.#####.##..#..##.##.##.#.####.#..####.####.#.#.#..#...##..#####.##..#...##.###....#.##..#####..#.#..###.#..#..#.....#..##..##...#..#####.#.#....#.##...##.#.##..#######.#...#..#..##.#.####........##.###.###.###...#..##...#...##.#####..###..##.#.####.#.....#.##...#.##..###...####.#####.##.#...#.#####.####..#.##.#.##....#.##.###.##.##....#####...#.#....###..####...#..####.#######..###.##.#.###..##.###....#.#.##..##.###..#.##.##.##........###..#####..#.##.#.#..##...##.#####...#..##...###....#.....####.#.##.#.#.#.#######.#..#...###..##.#...#....#.#.#.##..#........##..###...##.#.....#.#####.#.#..##..#.##.#.###......##..#.....##..#.##..#.#....###.#####.####.#..#####...#.#.#..##.#.#..#.####.#...#........###......########.####..###...#..#..##.#.#....#####..#...#.#.#####.##..##...#...###.#..##.#.#####.###.##...##.#.###.######.##....#.#.#..#.##...##.###...#..##.#....######..#.#...#..#.#.#.##...#.......#..#..#...##..#..#.####..##.#.#.###.#...###.....####.##...##.#.#..#..##########....##.###.#...####....###.#.##..#####..###.##.###.....###.#.......#.#..####.##...#.##.#...##.#..#..#...#...##...###.##....####....####.#.##.#..#.#.######..##..#.#...#.###.##..##..#...#.###...#.#.##...###..#...#...#.#.......######.##########..#..####...#....#..#..#..#.###.#......####.##...######.#..##.#.#.###.####.##...##.#.##.##..###.....#...####....####..###.#...######..#...#..#..#.#...#.##.##...#.##.####...#..#.######..#.#.#.##....##.#.##.##.#.#..###....##...###..#.#.##.#.##.##....#.#.#.##..#..####.#.#...#....#.#.....#..######..#...##...#.#..##.##..##.##.#.#####.###..#.##.###..#..#...##.#.#..####...#..##.....##..#.#.######...##..#..#...##.#...#...##....###...#.########...##.##..##.###...##..#..#.##.##..#.........#....#......#...##.#...###.#.#..#....#.#..
.####.##..#......#.....##...#.#..#.#.#.#.##.####.###.####...####.##..#..#.#.#.#.#.###.####.##...####..#.#.#..#.#.#.##.#.#.###.....##.##.....#.#.##...##.###.#..#..###..#..#####...#.###...#.##.#..#.#...###....####.##.##..##.#..#.##...########..#.#..#..#...#..#..##..#...####..######..#####..####..#.###..##..#..#######....###...###..#.####....#.#.#.#..#...##.###.###.##.##..##...###.....#...#......#.....###.....####.#####.##..#.##.##.#..###..#.....###......###.#....###.#.#.####...#.....#.#...#.....#..###.#..#.####.#.##..####.##.#....##.##.#.##.#..#..##...##.##.###...####.###..###.#..#..##.#.#.##..####.#.....#.##.##....##.#.....##.##.#####.....#.#.#.######.####..#.##..#.##....##..###......#...#..##.#.###....###.#...#......##.##...#.###.#..#.##..##.#.##...###.......#..##......#.#.#####..##....######.##.#...#.###.#.#...####..#####.##....####...#....##...##.##....##..##.##.##..#..#.#.#..#.###.....##...#.######..#..#..##..##.....####.######.#.#######.##.#..#...######..#.#.#.#..####.####.#.#..#....#.####...#......#.###.....#.####.#.####....#.##...#.##.######.#.#.######..##.#...#.##...###..#..##..#.##.#.#..#.######...##.#..#.###.#....##..#.....#..#.#...##...###..#.......##...#..#.###.#####.....##...#.#.#..####..#..#.#.##.....#.##.#.###....#.#.##.##.#..##...###...###.######.###..#..##..#...##.#...###.##..##..##.#..##.##.#.#..#......#####.##..#.....#..#####.##.#.#.###.##..###..##.##....#.#.####..###..#####..####.##...#..####..########..#....#..#.###...##..##...###.##.##.####..#...#.##..##......#..#.#.#####....##..#.####...#.#...##.###..#.#...##.###..#.####.##.####.#........###.....#.#.#.#####.....#.##.##..##..####.##..#.#....##.........##..##...##.##.##..##...#.#.#.....#.....##..##.#.#.#.#.#.##.....##.#...###.###.##..##..##.##.#..#.#.#.##.#.###.###..#.#...#.#.##.#..##...#..###########.#.....############.##.#.#.##.##.##....#.###...#.#..##...###..##..#..#..##.#####.###...##..##.#..#...#..#..##.###.##.##...##.##.#.#.####.....###.#....#.#....##...##...##.#.#..#...##.###.#..###...####
#.#.#.#..####...####..####.#......###..###.###...##.#...#####.#####..##.#..#####...####..###...####.#.##.#..#####..####..#.#....#...#..#..##.##..####..#.......#.##...#.#..##.##..#..####.##....#..#...##.#.##..######..#...#######.##.##..#...#.##....####..#.########..##.#.##.##.#..##.#.#.##...##.##....#.##..##...###..##.###.#.#.##...#.##......#.....##.#.##.##....#...##...##.###...#.##.#.#####..####.##.....#.#.#...#...###.##.##...##.#....##...#...#..##..#..####..###...##......#.##....#.#...##.#.#.#.##..#...#.##....#.#.##.###.###.##...####..###.#..##...#...####.###......#######.#.####...####...#..###...#..##.#.###.######.###.....#...###..##.##.#...##..#.#..####..##..###.........#...##..#..##.#.#######..#.###.##.#.##...#...#.##.#.#....#.##....###..####.#.#.###..###..#..#..#############.####..#.###.#..###.####...##....###..####..#..#.#.#.#.###.....#..##.#.#.##..##..####.#.......#..#.#...........##.##.#.........#.#.##.##.#####.##..#.###..#...#...##....#..##.##..#.##.#..#.#.#..##.##....##.###..##.#...#####.##.###...######..#...#....##.#......#..#..##.##.#.###.#####.#...##..#..##.#.#.#...#.#...##.##.##..##......#.##.###.###..#.############..##....###.#.#.#####.#.##.####.##.....#.#.#####...#......##.#.##.#.#..#..###.#..##.....###.###....#.#.##.#.#..#.#####..###.###.####..##.###.##....#####..#.#.##########.....########.#..#.###.###...#######.#.#.##..#.##.#####.###.###.....#..#...#.#.....###.##..##.....#####.###.#.#.#.#...#..##.#.##.###....#....##.###.#...#.##.....##....#.##...##.#..#.#.#..####.####.##.##.##...###..##.#######.##..##....##.....#..###.#.#.#.#.##..##...#..##..##.#..###..#.#.###...###.#.###.#..##.##..##.#...###...#...#..##.###........##..#...##..####.##..###.#..####...#####.#....#.......#.#...#.##.#..#.#..##.###.##.#.###.######.#.##..##.#....#.##.##..#...##...###.###..#.#....####.##.##......#..#..##.#.#.....#..#.#.##.###...##.#####..#..##.##...##.##..####.#..#####..##.#....#..#.#.##.##..##.#.##..#.###.#....####.####.###.##....######..#...###.#..#..#..#........######
..#.#...##..##...##......#...##...##.#..###...###...###.#.###..#.#######.#..#.#.#.##....#.##.#.####......##.##..#..#.#..##.##.....#.###...#...#.##..####..####.##.###......#.#.###..##.#####.##..##....###.###.#....#..#..##...####..#.####.#......###..##...#..#####..##..#.##..#.#.##.##.##.#.#..##.#..###.#....#######.#.#.##.....#.##..#...#...#####......#.#.###...###..#######.#####.###..##...#.####..######.#......##.##.#...####.#.###..#....#.#...#.####...##.####.#......###....#####.#.#...#.###..#..#....##.#......###.###..#...#.#..#.##..##..#...##.##..####...#.##.#..##...#.#.##..#.##.##..#######....#..#....#.#..#..##......###.#....####.##..###.##.##.##.#..#.#.#.##..###.###..#.###...##.##.###...##.##...####..#.###.#....##..#....#..#.......###.##.##...###.####.##.####.#.##...###...#.#..#..##..#......#..#..#....#.##.#...#.#..#...#..##...#..########...#....#..#####..##.##.#..#.#.###.###.##.#....##...#######.#.###...###.###..#.##..#.#####......#.#.###...###.##.###.#.##########.##.##...##.#.#.##......####.#...#.##..##.###..#........##..#.#.##..###.#..#######..#...#.##..#....###.##.#..#..####..###..#..####...###.##.######.##...##......##...#.###.#.##....#.##.###....###.#....#..#...#.####.####......####..#.#..#.#.#.#...##.##.####.#.##.#.#.#.#.###..##..#.#.#.#.#.##....#.##.######.#.########.#.##.##.####.#.......#..#.###..##..##.#...#..#.#..#....###.#.#.#####.##.....#...####..#.#..##.#..#.##.#.#.#..#.........#..##.#.####....#########.###.#.#.#.##.#######..#......#.######.....####.#.####..#.##.###...##.....#.#..##....#..#.##.#.#.##..#.##.####.##.##..##.##.##.##...###..####...#..###.####.#..####...#.###..#..####.#..######.###.#######.#.#.......###.#....#....##.#....#####.##.#..#...####...##.########.#.#.....#.#.#.#####...##..####.#..###.##..###.#.#####.#..####...#.####.#.##..#...#..##.###.#..####..##....#.##...##..#....###..###.....#......#.##..##.#...#...#.###..###.##...#####..##.....##..##...#.###.##...##.#..#...#.....#.#..###.#...#...##.#.#....#.#...##..#.....#.#.#.#....####...#..#
..##....#.########......#..#....#.#...#...#.#..###.#.#......#....#.###.#.###.##...##..#.#.....###.##..#..##.###..#....#..##.###..#.##...##.#.#....#.#.#..#...#...######....###.#.#..#...###..##.#.##....######..#..#..#..###.#...##....#.###.#.##....#..#####...###.##...###..#..#..#....#..###.##...#...##..#####.##.###...#.###..#.#..#..########.#.........##...#.#.####.###....##.#.#.####.##.#...#.###.#.##..#...#....#..#####.#.##........#.#....#..#.#####.#.####....####.#.##.####.#.###.#.##.#...##..#.#..##...#.#.#.####.#.#.....#....##.##..#..#.###...##..#.##.#.#.##.#..#....#.###....#....#...#####...#.#.######.##.#.#.###..##.#.#.#..##.##...##....##..####.#.##.##.#..##.###...#.#...##..#.##.....#......#####.#..####.##.......###.#.#..###.###.##.#####...####...#..##.#.....#...##.#...#.#...#.#####...##...#.#.#..####.##.#.##.#....#..#####.#....#..####..##......####...#.#..##..#.###.###...##..##...#....###..#..##..#.#.#.###..#..##....####.#.##.#..###.###.#.###..###.####.#.####..#..#..###.#.####.###..#########.....#..#..##.##.###.###.###.###..###.###..#.....#.##.##...#.#####....##..###..#####.##....#.#.#..#.##.####...##.##.#....##....###.#.#.#.###..##.#.##.########.###..#.#........##....###...##...#..#.##...##.#..#.#...##.#########..#..###.###.##.##...######.#.#....#.######.##.#.##.#.#...##.##....#.#.#.####.#######.###.........###....##.#.#####.#...##..##..#.#...#.##.#..##..#.....##..#.#...#.#.#...###.#.#...#...#.#.#.##..##..#.#.##.###.#.###.##.#..#.###.####.##.##.#.#.#.#..#.#.##...####.#.#.##.##.##.##.#######..##.#####.####.###..#..###.#..#..#.#.....##...#.#.#..###.#####...#.#..#...#.#...#.#.###.##.##.#.....##..###.#.#.###...#.###.#.##.##..##.###.####.#.######.##....#..##.###...##..#.#.#.....#.#.#..###..#...#.......##.#.##.#####....###.##..###.#..#.###.###.###..#.#....#.#..###.######.#.#....#.#..#####.#...#.....#....##.#.####.##########.#...#.#.#....#.#####..########.##.###...###.##.####....###...#...#.###....######..##.######.#####.#..#..........##..###..#.#..###...##.#.##.####.#.#.
.##...##..##..#.##...#....#...#.###...####..#.##.#.###...#..#.##.######.#..#...###....###...#.#####.#.###.....##.#.#.....###...##.#.##.###.###..##.##..#..#####..#...#.##.###.##...##.#.####..#..###..#####.#..##.###.#####.#.####....#.##......#.#..##.#.#.###.##.#.#..#...#.#..#.#######.###..###....#..#.#.#####....#.#.....##...###..####...#.##.....#.....###..#..##.##.##.#...###....######....#.##.###....##..###.#.#.#######..#.##..#.##..#..##..#...##.####.####..#..#.#.#...#.......#..#..##.###..##....#....##..##..#######..###...##.#.##...#..#..#.#######..#######.##.###.##...#.#.##.#####.#.#.....#.#####.##.#.###..##...##.#...####.###....#.#...##.##..###...##.##..#.....#.#.#.#..##.###.#.#####..##..######.#....##.#....##.#..#..####...##..#..#..#......###.####.####.#..#..#.###.#.#####.#.#..#..##..##.....##.##..#..##.##.##.#.####.##..#.#....##.###.#######....##.###..#..#.#..###..#.#.##..##.#.#....##.....##.#.#.#..###.###..#.#####..##..#########..#.##..#..#.#.#....##..#.###.#####.#....####......###.#.###..##.##.####.#..#...###......##.#...#.#.#.#.#.##.#..##.##...#.#...###.######..##....#..#...#..###.####....#.#.#.#.#....#...####.#.#......##....##.##......####.#####.###..#.#.#....##..##.#....######...###....##.....#.########.....#.#.#....###.##....##..####.##..##.###...##.##...####..##..#.##..#.#.#..##.#.##.###.####.#.##...#...#.#...###...##.####.##.##.#...###..#.#..###..#.#.#.#..##.###..###......###..#.#.....#.###.##.####...##.#.###.###...##.#.####.##..#.....######..###.#.#.##....#.#..####...###.##....#..######.#....##.#..#.#.#..#.#..#..#.#...###..###.######..##.##..##.#.###...#.##.#####.#.#.....##.#..#.##.#.#....###....#...#.###.#..#...#.#######.###..#.##..###.#..#..###....#.##.#.......##.#.###...##.####.#####.##.#.#..##.#..###.#..#..##.##.####.##.#####.####.#####.###.#....##.#....####...#..####.#.#...##......##.#..#....#..#..#.#..#...#..##.#.##..#.##.##.####.###...#..#...####.###..#.###.#..##...#..###..######...#.##..##.##...###...###...######..##.##...#..##.##.....#.#.########
..#..####..#.##.#...#.##..#.#.####.#.##..#.#...#.#.#.#.#.####.#####.#..#.###..####.#.........#.####.#.....#.#.####.#.#....##.#.###..#.#.#...#.##.#..###...#.##.###.#.#.#...###.####.########....####.##.##....###....#.#...#..###..#..###.....###....#...####.#.##.#.#.###.##...##.###...#.####..#...#.#..#.##.##....#..#.##..#..#..#.#...##..##.#.#.###..###.#..#.########..##.#..#.#.#.#....#.###.#....#..#..#.##..#####.#.#.###.##..#.##.####....##...###..#.....###......##.#.#.######.#.##.###.#..#.#.#####....#.#.#.#.###.#..##...#####..#..#.####.....##.##.#.###.#.....##...#.......#.#...#.##..###..###....###..#....#######.##....#.###.#...#.....#....#.###....##.##...#.#.#.##..###.##..#....#...##.###...#..#..##....####..##.#...#####.....#.#..##..####..#....##..##....###.#...#..##.##.##.....#.##.###..###..#.#....######..##..#.#.###.#.....#..#..#.##.....##....#..##.###..##.#.#.###..#.########...#......####..#...#.##.##.#.#.#.#...###........#.##...#.#.#...#..#.#.#..####.#######.###.###.......##.......#.#.#...#####...######.##...#.###.......#####...##..#.#.##.#.#.#.#..##....###......#.#.....#......#.#...#.###..#...#...#.##.....##.###.#.##.#.#.#.##....#.#.#......#.#.#####.##....#.###...#...##...#...#.#.#.#.###.######..#..##...#.####..##.######.#...#....#####..##.##....#...#.#.##.##.....###.#.#....#.#.....#####..#.###.#########.##..#..##..###..##..#.....######..##....#.#....##.#.##..#..##.##.#...##.##......#.##.#...##.#.#..#.##.###.##.#.#....#......##.#.#.#####.#####..####..##..###.#####...##..###.#.#.#.#...#..##.#.##.####...#.#.#.##.###.....####.##..#####...#.##.#.#.#####..###....##...#..#.##.###..##..#.#..###..####....###...##....###.##..###.#####..#.#.###..##.#.##...########.#..##...####....#.##.#.....#.#.#.####.......#.#..#....###.#.##.##..#..#.....##....#.#.#..#.###.###.#..#.####.##.#.#...###.##....#.#....#...###.#.#..##....#.##...##.##...##.###...########.#.#..##.#...#.#..###..###.####..##......##....##..##.###..#.##.###..##...#...###.#####...#..#####.#..#....#.###..##....#.###....##
####..###..######.#####...##..##.#..#....#.###.##....#....#.#.########...##.##.#.#####.#..#...##..#..#####..#.###.#.##.#..#....##...##.#.##...#.##.#.#.###..#...#..#.#######..##.##......###.###..#......#.#..#...##.#...#.##.#.###.#.....#.#...#.#####.###...##.#####..##..#.#..###...#..#######..#.##..###......##.#.#....##.....#....#.#..##.#..###..###.#.##.#..#####.#.....#...########..#.#..##.###....##.##.#####.......#...#...#...#.#............#.##.##.#.#.#..#.#.#.#####..#.###..#.######.##.....#.#....#..##....##.#####....###...#.#...##.#.######...#...##..###........####.....#.##..#.##..#.#.#......#..###....#.#.####.#.##.##...#...##.##..###...#...#.#..###.###..###..####.#.#..###.##..#.##.#..#..###...#.#....##..####...##.##.#..##..###...#...####.###..#.#.##.##..##.######.#.#.#.......#.....#.##....##..#####.#.##...##.#.##.##.#..##.#.#...##..###..####.#.#...#.#..####..#####.#.##..#...##.#..##..##.#..#...##.###..#....#....###..#.###.#.#.#..#.##..#.##..##.##.###.....#.##...##.#..#####...####.##..##....###.#.###....#..#..#.#..###..#...#.##..####...##..#.#..##........######..##..##.#.#.#.##.#.###...##..###...#.##.##...###...##...#.#.#...######..####...#...#####.....###.#.###.#.####.#.#####..#...##..#.........###....########.#..........####.#####...#..###....###..#..##..#.#..##..##..#.#.#.#..#.##......####.#..##.#.....###........#.##....#...##.#.#.#####...#.##.#...#...##.#.##.....#.#####.##...#..##.#.#.#...#.#.##..#..#..#.###..#.#...#.#.####.###.#....#.#..#####...##....##......###.######.###.##.#...#.#####.#.########.##.#.####....######...#####.##.###..###.#####..#......###..#####....###.#..#.##.....##.###.##.##.#..####...#.#..#.#.#..#....#.#.#.#.####.#..###.#..#.......#.###..##.#.##.##.##...###...###..##..####...#....###.##..##.###..#..#.#..#.#.#...#...#.#####....###...#.##...###.##..###.#.####......#...#..##...#.####..#.###..###....#..##.#...#.#.#..#..###..##..#.##.##.#.......###.#####.####.###..#.#######.#...#.#.#####.#..##..#..####.#####.#..##.##..##.##.#......##..#.#.#.#..#.#
##..###...##..#.###.##.#.##.##.##.###.###.##..#.#..#....#..##.##...######.###.###.##....###...#.#..#.#...#.#.###.##.##...####.#...#...#.####...####..#.#.####..#.##....#.#.######.##.#....#.##.#.#.###..#.##.#....######.....#...#.#.##.#.#.#...#.##.#..###..#.#....##.###.#..#..###..##...#....###.##.##.#.#...####.#######.######..###.#..###.#..##.#...#.##.#..#..#.#####.#.#....##.##...##......##.#..#..####..#..#.###...###.##..#.#...###.....#..#.#.#....##....##..###.......###.####.#.##...###....####.#...#..####..##.#.#..#.#.#####.###########.#..###.##..#....#..#..#.##.##.#.#..#.##..##..#.#.####...#.#...####.####..#.#.....##..##..#....##..##...###....##.##...###..#.....##........#.###.....#..####.##.######...###..#.##.###......#..##..#.#.#####.########..##..#.#....#.#######.#..#.#.##...#.##...#.#.#.####...#####.........##.####.#.####.#.##...####.###.##..##...###..#..#....##..###..###.###.#..#.#.##.###..#.#...####.#####.##..#.#.#..#..####.#..####......#.#..##...#..#...##.#.#.#....#######..#...###..####.#..###...#####...##.#.....#.#.#.#.#####..###......##.#.#..#..###..#...#.##.#..###..#.####..#.##...#.#...#.##.#....#.##.#.##.#.#####...#.....#.#.#.#..#.###...#..#....#.##.####.#.#####.##.####..###..#...###..#.###.###.##.....#.#.#.#####...##.##.##...##.#.##..#.###.#.##.#.#.###.#..###.##...##.##.#.##.....##.#..#.##.#....#.#.#.#.###.####.##.#.####.##..#..##.####.#.#.#.#.#.#.########.###...#....#..##.#..#.#.#..###..#..#..#.#...#.....#####.#..#..##..##..###.####.#..#...#.#.######.###..#.#..#.#.#.#..#######.....##...#.##.##.###.#.......###..#.####.##.###.#.#####...##...##.#..#.##..##..#..###..##..######.#...##.#..##..#.#.#.####.#.#.#.....#..###.##.#..#..#.#.####.##.#.#..#....#..###.##....####.#...###.#..#..#.#.##...#######.#.....###.###...#####.#####..#...#..###.#####.#.#.#..###...##.##..#.##.......##..##...#.###..##....#..###..##......#..###...##..###..##..#..#.#######..##.####...#.#....###.#.....#.##..##.###.##..#..####.#.#.#.##....#.........#.....#..#..#.##.##.##.....#.#.###..###.##
..#..##.##...#..##..#.#....###..#.###.###.##.#..###..#.#.#..###......#......#....#..##.#.##...###.####..####.#.###.#..#.#.##.#.......#.#.#.#..###.##.###...#.#.##.#.######.#..######..#..##....#..###....#..##..#.#..######.#.....#.#...#..###.##..#...#....##.#.#..#..##.##..###..##..##.###..#...##.###.###..###.#.#.#.##.#.#.#.#...#########..##.#..#..##.#....###...##.#.####..#.###.######.#.#.#...##..#####.#....##.#.####.....#..##.#..##.#.#..##...#.#..##..#.#.##..#..###...#.....##..##.##.#.#####.#.#..##..#.#.#....#.#...#.###........#.#.#..#.##....##.#.##.#...#.#.....#.#..#.#.##.##.#...#.#.#.##.#.####.#.##.#.####.#...#.#..###..#.#...##..#..#..##.#.#..#######...#..#.#.##.##......####....#..##.#..##.#.#...#.#.##..##.#..#...####.#..##.#...##..##...#..##..##...###....#.....##.#...###.#.#.#.#.##..#..##.##.####..#..###..####...#.#..##.######.#.#.#..##.....#####..####...#.#..##...#..#...##..#.####.##.#.####.###.#.##.#..####...#...##.####.#.#..##.#.#..###...#.####.....###.....#..##...##.##.#...#.###...#...##.##.#..#.#..####.##..#..#..#.#.##...##.#.#.....###.#..##.###.##.#...######..#####....##.#....#..#..#...#.####.........##....#.#.#..#....#...##.#.#.#..#..##.#...###....#.##.....#.##...###.#.#.##..##....#.#.###.##.#.####.##..#.#####.#.#...##..##..##.#.#..##.##.##..###..##....#..##........#.####.##..##.##....#....#...........##...###.####..###.#..##..####..#..#..#.#..##.......###..#####.##.####.#.#..#.####.######.#.##.###..#..#...#.####...#..###.#.#.#####.#.#.##.#.##..##.###...#.#..###..###..#.###.#..####.#...#..#######....##.####.######..#.#...#.##..#........###.###..###.#.#...####..##.##.#.#.###...#.####........#.#.#.#......##.#.###.#####.##..########...##.#.#..##.#.#.##..#.####.########..#.###..##...#.##.##.##.##.###..#.....#..#..#####........#.#######..###.###.########.#...#.#.#.#.#...##.#...###.......####..###.#..#.#.#...#####..#..###...##.#.#...#...##.#.##.####..#..###.##...##.#.##.######.#...#...#..#..#..###..#..#..#..#.##.#.....#...##.###...#.##.###..#####..##..##.#.#.#.#...
.....#.#.....###..#.......###.#.#.#..#.###.#..###.#..#.####.#...##..#####.#.#..######..#..#.##.#.##...###..#...##....###..#.#......#..#..#.#...#.##...####.#.####.####.#...#.####...##...#..##..#....####...#...######.##.##..##.#...###.##..#..#...####....##...#.#####..#....#..#.######.#####.......#######.#####.##.#..###....#.#..#.##.###.##.#.####.##.#....#.#.####..##..##..#...#..#.##...#####..#####.#.##.#.##..#.#.#####.#.##.......####.#.##.##.#...#.##...#.#...#.###..##.####.#.##.###...#.###.#.######.#.####.##.##.#.#.#.##..#..#...##....###..#.#.....#.##....####.....####.#.......###.....##...#..#.#..####.###..#...##.##.###.##.##.###..#..#.###..##...####.....#.#.#..##.....#.#..####.#.#.##....#...###..######..#.##.#..########..#.##...###.#....##..###.####.#...#...#.#..#.##.#...##......##.#.#...#...#.#...#..#.#..##.###.##.##...#..#..##...##.###..#...##..#.#..#.#..##.##..#..#.####.#.#######..##.##....##..#.#.....#...#...#..#####.###..#.#..####.#...##..##.#.##..#..#.###.....#.#..##.#......##.#..#..##.##.#.#.#####..#..##.#..#...#........###...#####.###.###.#.##.##.####..##.#...###.#.###.......###.#.....###.##..###...#.####..###..##.#.#......#......#..#.##....###..###..#.....##..#.#...###..##..###.##......#.##.##.####..####.#....##..#...###.##.#.##.###.#######...##..#.##..#.##...##..#...##..#..#.#.#...##...#..#########.#..##...##..#..#####.#....###.##.##.#..#.#.###..##.####..####..#.#.###.#.....#.#..##..###.#.#..#..#.#..####..#..#.#####.#.#.#...#####.#...#..##..#.#...####....#####.#.####.####.##......#.#..##.#...##.##..#...#..#..##.##.....#.####..##..#...##.##.##..#.#.........##.#####.#.#..#...#.##.#.....#..#..###..#...##...#.#........#.#.##.##..#..#.##..#..##..#.##..#..##..##.#.##.#.###.#...##.#.#...##.#.###....###..##..#...#.##.#.#.#.#.#..#.#..##..#..#.#.##..##.#####.#####.######.#..#.....##.#..##.######.#..#.###.#..#.##.#...####.#...#.#.....#####.#...#...#..#.......#..##.....#......#.#..#.##.#.#..#.#..#.##...####....#..###.##.#.#####.#...#....#.#..#.##.#....##..##..#..###.##
.#...##..##.##..#..#...###.#.#...####.##...#....##..######.##.####...#..#####.#.####.##.##.#...##......##..###....#.##..###..........###.##......#####......#..##.##..#...#...##.###..#...##.###.###..##..####..#.#####.##..#.###..#.##.#..###....#.#..##.##.#..###.#...###.#...#.##########.#....#....##.##.#.####.##..###.#.###...#.#######..##.##.####..#.#.###.##...#####...###.##.....##.###.##..###...##....###.###.#..#...#.##.#.##.###.###..##......##.#...#..#..##.#..##.#..##.#..######..#....#..#.##.###....##..#.##...#...#....#...#...#.####.##.#.#.##..####....#..##.#...#...#.####.####..#...#..#.#.##.#.#.#.##...#.##...#.....##..#.#.#..###.##.#....##.######..#.##.#.#.##..#.##.###....###.##...#.....###.#.#..#####....##...#.....####...##..#.##..#....#.##..#.#....##..#..####.#######..##.#.##.#..###.##.#..##.####.#..####.#.###.#...######..###..#####......##...###...#.##.####........###...######.....#..#####...####..##.#.#......#.####.###..#..#.###...#.#.#.####.#..####.##..#.#.###.##..........#.##..##.##.#######.###.#.#.#...###........#..#...#.##.....###....##.##..#...#.#...##..#...####...#..####.#.##.....#.#.###..###.##.###.##..#...#.#....#..##...###.#.####.#...##.#..#..###..#.####.########.##.#....##..#...######...####.#.##...#######..#.#..##..#####.##..#.#........####..##....#.#.######....####..#.#...#.#.#....#..#...###..##.#...####.##...#....#.##.#.......##.##..##.#....####.##....#.#..#####.#.#.#.####.#.#..#.####.##.#..####..#.#.##...#.#.#....######.#...#######..#.#.#####...#.#....###.###......###.#.#..##.####..#.##.#.#.####...#.#....#....#####..#.###..##....###...#...##.#.#..##.#.##.###.#..##..##.#.#..####.###.#.##.#....####.....###..#####.#..#..##..#..#.#####.#..#.#.#....#.##...#####.#..#..#..##..#.#.#..#.#.##.#.#.####..#.####.......#....##.#####.###.#..#.##..########.#.#.###....####.#.##.###....#...........#####.##.#..##....##..###.###.##.#####.......####.#.###.#....##...##.#####.###########.#.###...#.#.#.####...#...##.#.#...##...#......####.#.##...#.#.####.##.##..##.#.#.###
##.######.#.#..#..###.#....####..####.#....#....#.##.#..#.##.#..#.##..#...##.#....#...#...#.#..##.####.##..##...###.#.#...##.#..##.###.##...##.....##.....#.##.#.####...#.#####.##.....#.#.##..##..#.#..#....#.####.##.#####...##..##.....#.##.##..##.#####..##.......#####.#.#...#.#.....#####...###...##....###.#..#...##...#####....#.###...#####.#..#..#..#..##..####.....#.#...#..#....##.##.#.##.#..#####....#..#.#.###.##.#.#..#.#....#...#.#.###..#.#.##..####...#.#.....#.#.###.#...#.#..#.##.####.#..#.#####.#..##..#..##.####.#..#.##...#.#.#..#####.###.....#..#.####.#.##.##.#.#.###....##.###.###....#####..#..######..#.#.#.##.##.##.#####..#..##.#..####...###.#.#.##...###......#.#.#.####.###.#.##...######....#.##..#..#.##.##.#.####..####...###..#.#..#...##.#..#.#...#....##.###...####.#####.##.#..#..#.#####.#..#..#.####.####...######..#..######....####..#.##..###....######.##...#.#.##.#...####.##.##..###.#.####..#..#...###..#.#.#.####..##......##...#...#.###.#..#.#####.##.....#####....##.#....#.##....####.#...####.###.#.#.#####...#......##..#.#...#.....###..#..##..#.####..##.###.####..#.#.#.##.#.###.#..##....#..###.###.####......#.##..###..##.#.###..#.#.##.#.####.#...#...###..##....##.##..#.##.###...#.##.###.##....#......#....#.##.#..#..#...####.#..##.....#.#.#.########.#.#.##........#...#####.##.#..#..#....##..##.....##..#.#....#......#.####.##.#.##.#.#.....###..##.##..##....#.#.#.####.......#.##.###.####.#.###.####..#.#.#..#.....###.#..###.#####.###..#...#####.#.##.####.###.###..##.#.#..##...#.#.#.###.#.#.##..#.#.#....###.##...####.##.##..##.#.....#.##.###.#####.###...#...#....#.##....#.#......#####.....#....#..#.#.#..##.###..#.##.#.#...#.##.#.#....####...#...##.#.#.#..######.###.###.##.....#..###..#..##...#####.###.##.#.##.##.#..#.###.....#....#....#.#.#####...##.#.#...#...##.#.##...##.##.##.#.##..#...#.#..####.......#.###...###.#.#..#..#.###.#.##..#..#####.##...#.#.#.#..##..#.##.....#.....##...##.....#.#..#......#....##.###..#.....##.#.#.#.##.####.##...#....#####....########.
.#....#.#.#.##.##....#.#..##..##.#..###..##.##.##.###..##......##.##...##.##.#####.#####..##..#.#......#.#.#####.#..#...###.#.#.##.#..###.#..#...#####.#.#.....##.#..###.###...#..##...##.###..#.#.....###.#####.#.##...#.###....##...####.##.#..##....####.####....##...##..####....#.#.#...###..###..#.##......#.###.##.##.##..#.####....#.###..##..........##.......###...#..#.......#.#....####..####.##..#...###.#.####..####..#..#.#.##.#.#.#..#.###.##.#..##.##..########...#.....####.#..#.###.#...#.#.#.#######.####....####..#.###......#...#####.##.##...###..#.#####.######.#..#.#.###...#.###.....##.##.......#.#....#..####....###########.##.#.#.#.##.#..#.##.....#.#.##.#...#.#.#.#.#.#..#..###.#.#.#...##..#.####.#..##...#......#..###.####.#.##.##..#.#..#.###.#..#.....###.###...#.#...##..##.###...######.##..#.#...####.#####....##.##..#...#.#.###.#.#..#..####.#...#.##......#......#.#######.###.#....#..##.###...##.#.###..####.###.##...##..#.###..##..#...#.#.#.#.###....#.##..#..###....#.###.###..#.#...#.#.....#..#..#.#.#..##.....####.##..#.##..##.#....##.##.#.#..#...##......#####.#...###.##.#...#.#..#..#.#.#.#...##.....##.#.###....#.##.###..###.##..##.#...#.#..###..###.###.###..#..#.#.#........#....#...#...###...######..##.##..########.#.##.....#.###.#...#.....#..##.#....#.##.##.......#.#....#..#.###.#..###.#.......##.#.#..##.#.##..#.######..#...###...#..###..##.................#..#....##.#.##..#######.#....##.......#.#.#...#......##.##..##..###.#...#..#..#.####..#.#.#####.##.####.##..#.##..##.#..#.#......#####.....##..#..#.###...##.###..##.###.#.##.###.###..##.#.......##...#.##.#.#..#.......###.#...##.##...###.##...#..##.##.######.#####..#####...####..#####...#......##..#..#....##...##..#...##.#...##...####...###.#.####.#.......#####..........#.#.##.#...####.#.#..###.######......##.##.###.###.#.######.########.#..#.....####..##.#..##.##.##..#.#.....#..####.#.##.##.....#.####.#.###......#.#.##..##..##...####.###.#....###.#...##.#..#.#######..#.#.#..####.#######.#..##..#.###..#.####.##
.##.#...####....##..##.#.#.##.####...#..####.#....##.###.#.#....#..###.#.###....#...#...#..#.#.#.###.#..####.##...#.#####.#...#..#.###.##.#....#.......#####.###.##.###.##.#.######..##..####.###..#..#..#...##...####.#####....#....#####.#.#####......##.##.#..#...#..#....##..#..##..##.####.##.#..#.#....##...#.############....##.####..####...#.....#.####..#..#..##.#.##.#.....#.####...#.#.###.#..#...#.##.#...###.##.#.#.#.##....###..##.#..###.####.#...#.##....#..##.#.##.#..#.###.#..##.#.#.###.##.##..#...#..#....#.###...#.#.##.####..#.#..#..###..#.###...#.#......##..##...########.#...#..#..#.....#..###...#....#..######.###.....#.###....##.####.#.#.####...##....####.#.##...###.##..####.#.#..#.###.##.#.....#...#..#.#...####.##.####..###.#.####.#.#..##..##.#..#....###...###.#....#.#.#..###.#..###.#.#...#.##.###.#.##.#..##.#.##..#....#.##.####....#...#.#######...#...#..#.#.#..##.#........#.######...#####.##..#.####.####.#.#####.#..#...#...####..###..##..##...#.#.###..#.#......#.##..##...##.......##...#.####.#..#.#.#....#...##.##.....##.##..#.#..##.#.#..#..#.#...#.##.#....#..##......#.###.#.###.#..##.#......###..#........###.#.##.##....##########..#.#...#..#..###..#.#...#...####.#...###..##....#.##..##.....#.#..##...#.#.#.....####..#..####..#.##.#..#....#.###.#.###..##......###...##...#...#.##...#.....#....###.##...#.##.#.#.###.#...##....#.#..#.##.###...#.##.......#.#..##.......#.....##..##..###.#####..####.#.#....##.#.##.##.#.#..#.#.###..##..###...#..##.####...###.#.#.#####..#..###.#....#.###..##.##..#.....#..##.########..###.#.#..##.##..###....###.....#...##..##.##..#.......#.#..##..##..#.#.#.#######..#...#..#.###.#.#..###.##....#.#.#.#.....##....#...##.##.##...##.####.##.#.########.###.....######....#.......#.##...##..#....#.#..##...#.##..#.###...#.##.##...#..###.#.#...###...#...####...#......#..##.#.....#..#.#####..######..#..##...##.#.#..###.#....#######.#..###.#..##......##.###......#.#..####.#.##.####.#....#..####.#..#...##...##....#.#..##..#.##.##.#.##.....##.....#...#.
###.#.##...#.##..#.###.#####...##.#.#.###.###.....#.......#.###.#.#..####.##..##..###..##...##.#.##..###...##...####...###.##.##.#..#.####.####....#.##.#.#.#####....##..####..#..#..#.###.#....#####..#######.##..##.#.#....######.##....#..###...#.##.##.#..#.##..##.###..#.#.######....#..#...#.#.#.#####.##..#.....######.#...##...#.##...##....#####....####.#.##....###.#...#..##....##....#.#..#.#.##..##....##.#.#####.....##.#.####.##..###...#####.......#.##.##..##.#...#..##.##..#.#.##....#...#.###...####......#####..###..##..#....###..#.##..#####....##.###.#.#..##.####..#..######.#....#.####..#...##....#....#..#....##.#..#.#....###.#.##...#...#...#.#...##..##..##.#.#..##..#.#.###..###.#..#.##.#.####...#.####..#.#.#.######...#.####.#..#.###.#.####.#.#..#.##.##..###.###...##...##.####..#.#.######.####.##..#...#...####..##.#.......###..###...###.###..###.###...######...####.#.##..##.##.###....##..##.#...#.#.#...#........##.##.#.###..#.##..##...#...#.###..#.#...##.#.#..#####......###...#..##..#..##..##..##.#####.##.#..###.#.##...#.....##.#.######..###.#........##....###..#.#.#.#..##.#.#.#.#.#.##..#..#..##.#...#####.##.###.#..#.##...##...####....#...##.###.##.#####.###.#..##...#.#..####.#.....#.##..##..##.....#..#.#....##..##.#.....#####.#.###...####.#..#.#.#....#...#..#.##..#.##...#....##..##..####.##..#..#..##.##.####.##....##..#...##..#...........###.###.#...##.##.#.#..#..###..#..###.#.#...###.####.##..##.##.#.#.#..#.#...####.#####..#....#.###...#..#.###.....#.#.##.#..#.#....##.....#..##....#....#....#######.#.#..#.#..#..#..##..##.#..####.##.###.#########.###.....####..##..#.#.#.#...##.###.#..##.#.#..#.##.#.#....#......#..#.....#.#...#..###.##.#.#...#......###....#.##...####..#.#...#.###.....##.#.##..##...##.....#.#.#..#.#..#.#.##..###.#.####.####..##..###....#..#.###....#.###.#...##...##.###.#######.##..#.##.#.#...#.#.##..##..###.#.####.......#.#####.#..#..#....##.#..#..#..#.###.##....#...#..#.###.####.#.#..#..##.....#....###..#####.....#####.#..#..#...#.#.##...#####......
.######..##.#.##...#######.###.#.##..#####.#.##...#.#..#..##.#.##.....#####.#.######..##....##.######....####.#.#.#####..#..#.###..#..#....#..#....#######...#..##.###.#..##.#....#.#..#..###.#.#.#.##......#.###.#.##.##..##.#..##...#.#.##..##..#..###.#..#.#####...##.....#.#.#.#...#..#.#.#####.#.####.#...##....#..###.###.##...##.......#.##..#.#..#.#.###..####.####.#.#.#..##.##....##.##.#....##....##....#.#.#.....#.##.##.........#####.##..#...##.##..#.###.#..#..##..#.#.#.#.###....#.##.##...##....##.##.#.#############..#....##....##.####.#.###...####...##.#.....#.#.#.#.#.......##.##.########.#..###.....###.#..###...##..#..#.#...#####.....##.....##.#.###########......#.###..#.#.#####..#.####.#.#.###..#..#..##....##.####.###.###..####..##..#.##..###....##...#####.#..#..##......##.#....###..##..#..##..#.#..#.##.#.##..#.#.#.#.##....#.##..##.....#..#...###..##......#....#.##......##.#####.#.##.###...#..#.#.....#.###..#....#..#..###.##..#..#.#.#.#.#.#..#.#..###.#..#....#.#..#.....#.###..#..##.#..#.#.##...#....##..#....#.#......#.######....##..##.##.##...###..##.....##.#.#.#.#......###.###.#.#..#.####.......##.##.#...####..##...#.#...#..#..#.###.##.#.##.###...##.......#.###.#.#.##...#...#.....#####....######..#.#.#######.#.#..#..#.######..#..#...##.#.#......###.#.#.#.##.###...#.#..#.###.#####.##..#..##.######.....#....###..##.####....#..#..#.....##..#.##########....###.#.......##..##....###.###.###.#..#.##.##.#..##..######.####.#.###...##.#....###..#.#.###..#.....#...#.##.....#.#...#.#...####.#.#.#.......###.##.#.##.##...###.##..##.##.#...####.#.##.....#..##..#..####.########...##.#...#####..#.##.###.##....#..#...#####...##.#..#.......##.....#.###.#..##.#.##..#.#....###....#.#.##...##.#.#..#..#.##........##..#......#.#....#.########.###.#.#..##.##.##.#..##...##.###...#.##.##.#..###...#.###..##.###.##..##.#..#.........#.#...#..#..##..##..#..###..#.##.###..##.#.##..#.##...##.###..###.##.#...#.####.###.##.#.#....###.....#..#...#..###..####..#..##.##.#.#..##.##......####..###.#.##.
..##.....#..###...###..#...##.#.##....#.###.####..........#..#......#......#..#.#.#....####.#..####..###.##...#.##.#..#.#..#.#..##.......##....#.#..#.##..##.#.###.#..####.....#..##..#.##.....#####..#..#####..##.#.#.##..####.#..######..#.#.###.######..#..###.###....#.#..#.#..#..####.#.#.#.###...##..#..###..###.#.#.#####.###.#.#..#.###..##...###...#....#.#..##....#####...#.###..##.#.###.#######.#.##..##....###..#####.#.#.#...#.#..#...###..#.#####..##.#.#.##....##.#.....##.#.##.###.##.##..#.#.#.#.####..#....#....####.##.###.###...#.#.##.#...#...##.##.##..##...#.......###.####.###..##..#.#...#.###.###.##..#.###.#.#.#.....#..#.#.##..#######.###..###..####.#.####..######.##..#..#..###..#.#.###.##.#..#..#..##..#....#.##.#.#.....#.#..##.#....##.#.###....#.####..#.#.#.#.##..#.###.#.#.##.##.#..###....#......#.....#.##..#.#.#.###.####.#.#.###....#...####.##.#....##...##....#.#####....######...#.#...###....####..#.###.###....##.....#.##...##.#....##.#.#..#.#..#..#.###.....#...#.#..######.##.##..#.##..#.##..#.####...#...##.###..#.#.#.#.....#........###.###........##..#.##.###..#..#....###.###.#.#.##.##...#######.#.##.##......##...#..######...##.#.#.#.....#....###.#######..#...#..##...##....#....####.#...#........#.#.##..###...#..#..#..#......#######....##...#.###.##...####.##.#.#.#######..######.#..#......###..##.#...##..#.##.#.#...#..#.#.#....#..#...#.#...#.####...########.#..###.......###.#.#######.##...#.#...##..........#.#.###..##.####..#####.##..#..####.##.......##.#...#.#..#.#.##.#####......#.###..###..#.##.##.#.....##...#..#.##.##.....#.#.###..##..#...#######.#.##.########...##.###...#.#..#...#..#.##.#.#..#####.##...#.##..#.##...##..##.#......#.#.#..#.##..###.#......#..#..##.##.##...#..###...#.......##.###.....##.#.#....######..#.##.##.##..##..###.##.#.##.##....####..#..#.###.###.###..#.##.##..#####...#..#.........#.#.#.#.#####...####...#.##...#..#..#.#..#...#...#####.###.##...#..#..#.#.#.###..#.#.##...##.........####.####.#....##.....#.###.#....####......##...####..#...#
.#....##..#..##.#.######..###.####.##.##....#..###.##.#...#.#.#######..#.....#####.#.#.#...#.#.##.#...##.#..###.###.#.#.#####.#.#..##.######.#...###.#.##.#...........#..#.#..#....#..######.#....#..#..#..#..##....#.#.###..##.#..##..#.###.....#...#...#.###...###.#.#.#...###..#...#...#..##.#..#..#....#...#...##.####.........#####...#.##..#...#.##...##...###..#..#.######.###..#..#####............#...##.##.#....#..####.##.##.######.##.#.##..#....#..##.####.#.#####..###.#.####.#..#.###.#..#...##..####.....#.#..##.#.#..##.##....#.#..#.###..#.##.....##...###.....#.##..##.....##..######.#.#.....#..#..#..##.##....###...#.##.#.#..#...#.#......#.###.##.#.##.#..##...#.##.##.....#.##...##..#..#..#########..#......#..##....##....##.#.#.###.#...#..#####..#####.#....##.#..#.#.#.#....#.#.....#..##.....#.#.#......##.##....#..#..##..##.....##....#......###..######.#......##.#.#.####.#...##..###.....#.#..##.#.###..##..#..#.#.###.#..#...#.###..##..#.##.#.....#..#..##.###...#.#..#.#..##.#........#.....##.####.#.#..#####.#.####..#.....#.###....##....#....###.#...#..##.##.#....##.##.##...#...#.##...###....#..#.#.##..#.#.##..#####.##..#...###....##...##.#.#.#.#..###....#####..#.##..#.##.###.##.##...####...#..###..##.#...#..###....##..#.#.##....#..#.#..##..#.#.#.##.....##..##.#.##..##.###.#..##.####.##.#..##..#..##.######.#....##.#######.#...#.###..###..###..###.##.####.####.#####..###....#..#....#.....##......####...#.#.#.##.#...#......#.###...#....#.#.##.#.#.#...#.#.######.#..#..##..######.###.##....###.#..#..#.##.####.##.....#..#.######.#.###.....#...##.##.##..#.#....#...###.####.#.#.#####.##.##.#.####.###.#.###.#..###.#.#.#...#.....##...#.###.##.#..##.....#.#...#.#..#..###..#.......###....#..###.#.##..#.....#......#...#........#.#.#####..#.###.#...##..###....##.##...####.#.##.######.###..######....#.#.#..#..#######..#.#..#.#.#.####.##.#....#..#..##.#..#.######.......#.##.....#####.##.#...#..####.#.#.#..#.#.##.####...##.###.###....#######....#.#..#.#.##....#.#...###..#.#####.#.##....######
###.###.#.#..#..#.#.#.######..#.###.##.#.###.##.#..#..#.#.#####..##.#.#....##....#.#..#.#...##..##.#..#.....#...#.###.##.##.#.#####......###.#####.#.#.####...###..###.###.##..###.##.###..#.#.#.##...##.###...###........##...######.....##.####.##..#......#....###.##.######..##.#..##.###.##.#.####........#..#.#.###.#######..###..#...#..##..##..#.##.#..####....###....##.####...##.#...##.##......#..###.###.....######.#.####.###..#....#.##.###..#.#.###...#..#.....##.#..##.....#..##.#...###.##.#.............#..####...#.##..#.##..#.##..#.#...##..#.##.#.####...##...#.#.#..###.####...###...#.....#.....##..##...###.#..#...#.###.....#.#....#.##.#.#...#.#......##.#.####....###.#.#.###..#.#.....###....###...#.#..#.#....##.#.#..#.#.#.##.#...##.###.#..###.#..##.##..##.....#..#..########...#..#..###.#.###..#.#...###.#.###.#..#...#..##..#.##...#..##.#...###..##.#..#....#..##.#.####.#..#....##..##...##.##...##.####.#....###....####...#...#.#..#.##..#..#.##..#..#.##.#...####.#.#.######..#..#####.##..#..####..##...#.#..#.#.###..##.#.#..##.#.#.##..##.##.#.#.#..#..##.##..#######.##.###..#.##..##..#.######.###.##..##.##.####...#.#.#..##...#.#####.#####.#.###.#.....#..#..##.###....###...#.##.#......####..###.####..#..###...#..#...#..#####.#........##.#####.##.##..#...#.#.##.....#....#...#...##..#..#....#...###.#.###.##.#.#.#...#.####.###.....#.###.#..##...##.##.#...#...#..#.##.#.....##.#.###.##.##...##..#..#.#..#.##.#..######..#.##..#.###.#..#...#..###...#.#.###.####.#.#.##..##..##..##..#.##.##.###...######..##.##.#####....#.#.##.##...#.#.#######.###.##..#.###.#...#..#####.####.##.#...##.##....#.......#####.#.###.#.....##.#.#.#...##.######.#####.#....#...#.....#.#..#...##....#...#.#.######...##.#..##..##....##.##..#...##.#.##..####.#.##.#..##....#.....#..#....#.#####.####.##...###...#..##.###..##...#####.#.#...##.....###..######....####.#.######.#..##.##.#.##.###.###.....#..##.##.###....#...####.#..#####......###.###..#.#.#######..#.#.#.....##..#....##.###..#....#########....####..##.##.##.
##.#.#.##....##.....###.##.#.....####...###...#.#.####..###..#..##.##......#..#.####.#...#....#...##..###..##.#.##..#.#........##..#...##.##..#####.###.##..#...#..#.#.#.#.#####.####...###.#..#....##.#######..#.##..#.#....##.#...#...#..###.####..##########...##..#...#...##.###..#...#..###...##........#.#.#..###..##.##.#..#..#.##...##..####.##.....###.##..#####.###..#.#....#.#.#...####.#..#.#...#.##....###..#..##....########..##.###.#.#..###.##..##..##.#..#.#....###....##..##.#..#..###.#.##..#.#..##..#..###.#....#.######.###...#.###.###...##.#.....##.####..####...#.#.#..###.##.##..#.###.##..####.##..##.###.##..##...###..###.###..###...#.#.###.##.##...####..##.#.#.#.#.##.#...##.##...##.#####.####...#..####.#..#.###.##.###.#.#..#........#...#..#.##.#..#.#..#.#...#.#####.#.####.#.###.#....#####.###...#..##...#...###.#..#......##.###.######.#.##..#...#..##.##..###.#..#..#..####..#.###.###..#..##..##.#...#.#.##.##.#.#.####...#.#.###...##.......#.##.....#.#..##.#.#..##.#.###..#.##..###...#.#....#.###.#.#.#..##.#.#.....#..#..##.##.#####....#####...#..#...#.#.####.#.#..#..##..#.#.##.#.##....#..##...###......####.#.#.##.######..##..#...###.#.#........#####.#..###.#...###.#....#..#...##.##..#..##...#.#.##..###...#..#..#####..#.#.##.#######..##..##..##...#...##.#.##.#.#.#.##..#...#...##...#..#..###..#.#..#...#....###..#.#.##..#...#.###.#..###.#.#.....###..#####.##.#####...##..#...##...########..###.#.##.#######.#..#.......##...#..##..#.#.#.##...#.#...####....#..####.####.#.#..#.##...#.####......#.#.#.#..####..###.#....#.#####.....#...##......###...#...##..##....#.#.###.#.##.######..##..#####.#.#...##..###.....####.#.##.###...#..#........#.#..####.##..#....##..#.#...#.#.#..#...#..#.#..##.##.#...##.##.#.#####.....#.##.##.#.##.....#########.#.#.#.###.##...#....##.##.#..#....##..#.###.#..#.#.##.#.#.#.##.#....#...#........##...##..#.#....#..#########......########.......###.#..########.#.....#.###..#.#.#.#.###..#..#....#..#...#..####....#.###.#...#.#.###.##..##..##.#.#.##..#.#..##..#
#.#.#.##.##....#..#.#...#..#...###.##..#..###.#..#.##.#.##..#.#....##.##.#....#..##....####.#...#...##.########.##.###...##.#.##.#..###.#.##.#..#..#.#....####..#....##.##....#...####.#.####.####.#.###...#..##.......#...#..###.....#....##...#..##..##.#..#...###....##.#..#.#.##..#.###.###.#...####.#....#...##.####....###.#..####.#.#.######.#.###########..##..###.#.#........###.###.#..#..#.##.##.#...##.####.#.###...###.##.##.....#.####.#...#..####.#....##.#.#.#.#....#.#...######.#.#######.#.##.#.##.###.......#.#.##..#.#..##...##.##...##.##.#..#.#.#.#..###....#......#.##..#.###...##.#.#.#...###..#####.#.##..##...#..#.#.#.##..#..#..#..#..#.#.#.##..#.#.#.#.###.###.#...#....#.#.####...##..#####.#####..###########..#.#.#.#..#..##..#.##....###....#..##.#....#...#..#...####.######.###..#.#..#.#.###..###.#..#.##.#..#...###.#.##.#.###.##...#####..##.#..........#.#..#..#.....###...#####.#......#....##.....###.##...#.#..#.###...#......##.#....##.##..#.#.##...#.#....####.#......#.###...##...##.########.#..#..#...#.##.#..#..#.#.##.#..#.#..##.#....#...#.##.#.....#.##...#.##.#...#.####..##.###.####.#..#...##..###...##...#....#....###.###..#####..#.##.####...###..###.###.##.#..#.#..###.#.#.#..#.######..#.....#..###.####.#.#.##..#.#..##..##.......#.##..#####...#.#....##..#..#####.#####.#....###..#.#...##..##.#####.#.#.#...###....##..##.....#....#..#....##...#...###....##..#..####....#.#.#.#.#..#.##.#..##.##..####.#.#.##..##.###.#.#.##...####.###.####.##.####.##.#.##..#.#.#####...##..##..##...##.#.#.##..###.#...###.##.#.##.###.#####.##.#..........###.##..##.....#.#.##..#####..#..#.##.#..##.#..##.##...#...##.....####...###....######.###.#.##..#.##.#....#....######..#...##.#.#...##.#.###..##..##..#.#.#.....####.###..#..####.#..####.##...#.#.##.#####...#..##..#.##.###..#...##.#.#.....###.##..###.##...#..##.#...####.##.#..#######.#.#.#.#.###.##..####.#.#...##..#.##.#.#...##.#.###.####.##.......#.#...#.##.#.##.........#..#..##..##..##.#####...####.....##..#####.##..#.#.....###.###.#..#..##.#
..###..##.......##.#.#.####..##.##....#...#.##.##.##....#.#.###..###.#.#######..#..#....##.##......##.###.#..###..########.#...#...#.##.#######..#.###..#...#.#.#..#..####.##.####..#..#.#...#.......#...##....#.####.#.##.....#...##.#.#.###.#...#...####.#.##.##.#..####.#..#..######....#.#...#.##.##.....##....#..####.#.#####.##.......#..##.##...####.#.###.#.#..##.#.#.##....#.#...#..##.###..##...#..##....##.####.##..###.##.......#..##..#...##.#.####.....####.#........#.#...#.#.##.##.###..##...#########..###..#..#...#.#.########..#..##..##.#####..#...#..#.#...#.##.###..####....##.##...#...####.##...##.####....###.....#.#####.#.#.###.###....##.#......###.#.#..#.###.##..#..###..#.#.#..##..##.###..#.#.#####.#...##..#.##.####..###....#....###.#.#........####.##....#####..####.##..#..##...#.#...#.#...#.#..###.#.....#.#.#....#.....##.#...###.....#.#.#.#..####.####...#...#..#...#..##.##.##.##.#.###.###....#.#.#.#.#.#.#..#....#..##..#.#.####......#.#...#.##.......##..#.##..#.........#..##.####..#.#....#####.####.....#..##.##.##.##.#####.........#..#.##.##..###.#..#...###..##.#.....###.##.#..#.###..#.#.#####....#.#..#.##.######.#######.#..#.....##.#####...#..#.####....#.###.#.##.##......#.##.#.#.#..#..##.##...###..##.##.#........##.#..##.#..#.###....#..###.....##.##.###.##....#.###....#.###.###.##.#.#.##..#.....##.###.....#.#.######.#..###..###..###.....#..###...#####.#.#..#.#.##..#.#..#....#####.####..###.#..##.#.#...##.####.##.#..#.....#..###.####.#.#..#####.#.##.##.##..#.##...###..#.##.###...#.#.#...#....##.#...#...#...#.#..##.##.###...##..###...###...###.##.####.###...#...####.##...#.####.###.##.#...###..#.##.###..#.#######.#....##.#...#...##...........##.#.#.##...#..##..#....###...#.##..#.#..#########.#.###.#.........#..##.###.#.##..#.#.....###.#.#.##..#....#...#.##.#.#..###.#.###.#####...#.##.#.#..##...#...#...#.#.....##......#####..#.##.#..#..##.###..#..###.###.##.....#.##..####.##...##...#...##...##.##.#.##.###..#...#.##..#.#.#.....###..##.#.#..######..#..#...##.#.###.##..
.#.##.#..#.##.##..####.#...########.....##..#.###...##..##.#.##.#...##...###.###...##.##...#...###.######..#.##...###.#.#..#.##.###..###..#...#........#.####.#..##.#.###.#...##.###..#.###..#.##.#.#.#.#..#....#.#.#.##.##....#....#..###.#.....#......####.#.#####...#.#.##..##.###..##..#.###.#.......#.#..#.#.#...#.########.#.####.###.#...#.#.###.##..##.#####.#.##.####..#.##.....##..#.####.##......#..####.##.##.##.###..###...##.#.##.###....##.###...#.######.#.#.#..#..#...####.#.###...#......#......#....#...####....#...#..##...#.##..##.##.#..##..##...#.###.#.#.##.#.#....#.#..#.##...#.##.###.#...#.#..######..##..#..###....#...##.#.####..#####.#.#.##...####.#####..#..##....####.#..#.#..#..####.#...##..#.##.#.....###...##...##.###...###..#...#.##..##..##.#.###..###.##..#..#.#.#..##...#....#.####....#.#.##.#.#.....###..##..#.##.##.##..#.#..##.#.####.#..#...###....#.......##..###....##...#...####.#.##.###.#..###..#.#.##.##..#####..##..#.#..##.#.#.##.#.#...##.######.##..##.##.##.#.##..#.#.#####..##.##.#..#########.##..#.#...#####..##.#.#...#.#.#.##..####.##.#.#.###.####..###.#....#.#.####.#.#...#..##.##.#.######........###.###.#.#.######....###....#..##..#..###.####..#..#.####...#####.###..###...####.##..##.#...#..###.######...#...#...##........##.##.#..##.###..##.#.....#.#.#..###.#..#...#.##..###..#.##......#.#.#####.#########.##...##..##...#..#..###.#..###...###.#....#.#..##.#.##..#..#..#...#.##..#...##..###....##.#...#...#.#.#..##..######..###.......###..#.#..#.####.##..#.###..#..######..#.##.#..###.#.#..#.#.######.....##.#........##.#...#...##.##.###.#.#.##.##...###.#..#..#.#...#.#.#.##.#.##.#.#.#.###...#.#...#.#.....#.......##.....#.#...#.#..#.######..##...#.#.##.#..##.##...#.#.##......#.#....#.##.#.....##....#####...##.#..#######.####...##.#.###.....#...###......#..#..##.#..###..#.#..####...#.###..#.#..####..#..##..####.#..#..#..###.#..#.####.###..#####.#######..#...#####.#..#..###.#.#....##..#..##.#.....#.#####..##.##.....#..##.#####..########..#.#.#..#.....####..#.#...#
#.#..####.##....#..###...#.####.##..#.#.......#..##....##....#..##..####..###..######.#.##.#...####......##..##.###.###.#.#..#.............##...#.#####.#..###..######..####....####.###.#.######.#.##.#####.#..##.#####..#..#..##.#.#.####..##...#.##.#.##.#.##..##.##.#...##..###...#...##..#....##.###.#.##..#....###..#...##..##.##..#####.##.##.##.#.##.####..#..###..#.#.#.##.....#..#......#.#........#.#....#.#......###..#.#.#..####.##.#.#....#.##..##.########..#.#.##.##.###.#.#.#####...####..##..#..##..#.#...##.#.##..##....##.##..##...#.##.###.#....#.#..##..###.#..#####..###..##.#...#.#.#.#..#..###.##.#####....###.##.########.#.#.######..######.##....######..#.#.#.#......####.#.#.#..####.####...#..#...######.###..##.###..##.#...........########..###.####..####..##...#.##...#..####.....###..###.#.#####.#.#######.##.#.###.#..####.##.#..##.#.#..#.###....#..##..####.#..#.##.#..#.#####..#..#..#......#.##...#...###...#.##.##.#.###.####.##.#..##.##....##.##.#..##.#....#####..#......#####.#..#....#.#..#..###..###.###.###...##...######.####.###..#..######.#.#.#.###.###..###..###.##.###.#....#..#.#.#....#.....#.##....###...#.#.#.#.....#..##.##.####.##.#.#...#####....#...###....#.###..#...#.#..#.##.#.##...####.#..#.#.##.######.#...#.#.###...###...##.#...#.##.###.#.......##..############..###.##....####....#..#.#.#.###.#...#.###.#...#..#.##.##..#...#..#...#...######.#..##...#.#...#..##.###...###.##...#.##.###..####...###...#...#.......##.#...##..##......##.#...#.#..#..##..#.#####..###..#......##....##.#....#...#.###..#.#.##.##.....#.#.####.#.##..##.####.#...#...####.##.###.#####.#..#.#....#..#####.#..#.#######....######.......###.#.##..#....##..#.##.###.#...#.##.#....##.##.##....##.###.#...###...###..#..#..####..##.##.#...##..#######...#####.#..##...###.##...#...#....##.#####.#...#..###.#.#.#.#..#.#.#..######..#.###...#...#..#.#..#..##..##.##....#..#...###..#..#.#######..#...##.#.#.##.#....####..##.#..#.####.#.#.##.##....#######...##.#..#..#...##.#....#####..##..#..#..######..#..####
...##..#.#..#...##.#..#####.#.#..###.#.###.#######......#.#.##.##...####.###.....#.###.##.####.#.###.#..##..#...#..##....#....##.#...#...#..#.###..#.##.....##.#..###.#...#.##..###.#####.##.####..#..##.#..#####.#...###.####.#...###.###......##.#...#.##..##.#.###.#...##...#..#.##.##.....#.#.##.#...###.....###.#.#..#.#....###...#.#.###..#.###..#...###...#.####.#####.#..###...####.##.##...#.....##.###.########.##..##.##.##.##..#.#####.#####.##.#.#..###.#########.....####...###.##..###...######..#...###..#..##.######...###.....#.####.#.####.##..#.####.#####...##..#..##...#.##....#..#..##.#.#..#.####...##.#..##.##.#.#####..#..#.#.#####..#.#.##.##......##.##....##...#######.##.#.#..#.....#...###...#.#####..#..#...##..###.#..#.....#.#...#.#...#..#.##.##.#.#....###...#..#...#.#..##.#.#..######.#.#.##.#.#...#.##..##.####.#.#.#.#....#.#...##..##..#...#.#..#.#..#.#....#.#..#....#..#.#.#...##.#.#..#..#..#.###..###.##.#..#.#.#.#..#.##....###.##....##.....##.#.#..#.#######...##...###....######.#....##.....#..#..###.##.##.#....##.#.#.#..####..#..#.#...##.#..#.##..#..#..#.#.#..#...#...##.#.#...####.......#.#....##...##.##...#.##...####..####.#..##..#####.#...#.###...###.#####...#.##....#.###...###..#.##.#.#..#..###.....###...#..#....#.###..##.....#.#..##.######..##.....##.#.###.###.#..#..#.##..#.#..##.###...####.###.###.#.###.#.##.#..###.#.###.###...##....###.#..#####.#########..##.#.#.....#...#####.#.###.....#.####..##.#....#.##....#.###.######.#..#.######.#..#..#..#..#....#####......#..##.#.#..#...##..##.#.##....#####.##.#.#..##.#..##.###....##..#.#..#..#.#.###.##..#.#######.#.###.#..##......######.######..#.....#....##.########..##.#.###.#..#.#..##.#..#...#####..##..###.#.####....#.#.....###..##.#.#..##.....##..###..#.#########.....#...#......#...#.#.######.###.#...##.##.#..#.###...###...#.#.......###..##.##...#...##.....#.#....####.###.#....##.#......#..##..##.###..###...#..#..#.#.##..#...#..##.##.##........#.##..#..#..##...##.##.##.##.#.##.##.....##..######...##.##.##...#.###.#
..##.#...####.##......#..#.###..#..###.##...#.#..#.#.##.##.#.#####..#...###.#..#.#.##..#.##..#..####...#.#.#.####.##.#...####..#.###.##..#..#.###..#.#.#.####..##.##.....###..#.#.#.##..#...###.#...###.#..##.#.#.##.#.#.###...######.#....##..#####.#.#.#.#.......##....##...#######..#.##..##..##...#..###.##...#.#.....###.....#...#.###...#...#.####.####..#....###.##.....#......####.#.##...##.#.##....##.#.###..##.#..####.##...####.##.###.#..##.#.#.#.#.####....##...#.###.......#..###......#.....##.##....#.##..#...##......##....#.###..##.#.#.#..##..#.....##.##.##.###...#####....##.#.........#####.#########..##...#.####.##..........#...####..###.#..##..#.#..####...#.##...##.###..#.###....#.....####..##....#.##...#.....##.#....#.....#.#.#..#.....#.#.#..##.#.....#.#.##.##...#.#.#.#..#..##..#.###...##.##..###.###..##....#.....#####..##..#.##...#..##...##..#.###.##..#..#.##.#..#...#...#.#.#...#..#.##.#.##..#.#....#.#..###..###...####.#.#.##.###..#....#..#.#.#....#..##...######...#.#.#.#.##...###.##..##...##.#.#..#..###..#.#..#..#...#..###.........##.##...#.#..##.###..######..###.#.#.#......#.#.###.#.#.#####.##..#..#..#...#..##.#.#..#.##.#.#.#.....#..####..#####..######.###..#.###.#..#..##.#.###....#####.###.....#..........#..#.##.##...#.....###..#####.#..#.#.#...#.#..##...#.##...#......#.#.###.##.....#.#.##.#.#..#..#..#..#........#...#....##..#....####.###.###.###..#..........#..#.###.#.###.#...#####.##..###.###.#.#.####.#...#...#.####...#.####...##.###.#####.####...#.#.##..####....#.####.#..###....#.###.#......#..#..##...#.##....###...#.#..#.##.#.#####.##.##.###....#######.#.##.###.#.#....##......###...########.##.##.#.##.....###....##..##.###....#.#.#.#..#..##....##......#.#..#..##.##..#.###.#.....#...###.####.#.#####.##...####.#.#.#.##...#..##..#...##....#.#.###...#.#..#...####.#...#.######.#########.##..##.#.####.##.###..#.#####.#...##.##...####..#....#.##.###.#.##.#.#.#..#.....#..##..######.....#..##.....###.#.##...#..##..#.##.##.######.#..#.#.#..#..#.###.##..###.#.#.####.#.
###########.......##.......##...#.#.#.#..#..##.#.#.##.#......###.#.##..#..##.##.#..#...#########...#.##.#..##.....#.#..#...##.#....#.##.....####.#.##.####.#.#...#.#.#....##..#.#..##.###...#.####......###......##.....##.###.#####.####..###.#..#.##...#..#.....#.....#...##.#.#.#.#.#..#.#.#.##.##..#.#..##.#.##.#..#.#...##..#.##.#.#.#...###.#.#..#..#....##.#...##....#######.####..#...####.#.###..##..#.#.#..##.#.....#......#.#.#.#..###..#..#.#.##...#..#.##.#.#....#..##..###.###.##.#####..####.##.##.#....#......#.#..#####.###.#.#...###....##.#.##.#.#..#..##..#####.###..#..#..#.##.#..#.######..##..##......##.#..#..#..######.......####.#.#..........#####......#...#.#.##....##..##...#.#..###.#.#####.#.#.#.#.###.#.#.#.#..#.###.#.####.##.#.#########.##.....###.#....#####.#.######..###.###.#.##...###...#..#.###.###.####.#..##..#...#.##..#.##.###.#..#..##....#.###..###.##..##..#......#####..##.##.##..#..#.#.#.##.###..#...#####.###.##...##..####.########.#...#.#.####...#...######.....#.###.#######.#..#..###.#...###..#####.#.#..#..###.#....###......#.#####..##.........##.##..###.#...###.###.#..##.###...##..###...#..##.#####......#.#...###.#...##.###.#.##....#.##..#.....#..#..#..###.#....##..##..##.###.##....#.#..#.#.########...##.###.###..###.##..##....####.#.#..#.....#...##.#...#####....#....#.....#.##..##..#.#..##..##..#.#....#.........###.#.##...#.....##.#.###.####..####..##..#.####.#...###...#.#.#....##.#....####...#.#.###...###..##.......##...##.#.###..#...##.....#....#..#.#..#.######...#.####.##.#..######.#..#.#.##.#.#.#####.#.##.####.###...#.#.##.....#.#..####.##.#####..###.#.#....#.#.###...#.######..#..#..#.#..#.....#......#####.....#######.##.#.#..###...#...#####.###.#.#####.#.###.##.####..#......##...###..#.####.##......#.###...####...#....#...#.#.###.##.#.#####...##..###..######..######.##.###..##.###..###..#.##...##.....##...#....##..#.#########.##..##.#.####..###....#...#...###......####.####.#.###.##...#..##.##.#.##.##.#..##..#.###...###..##.##.#...#.##...##...##...##
#..#.#.#..#....###....##..##..###.###...##...#.####.###...###..##..####..#.#..#...#...##.#..#..#..###.#.#.#.#.#.#.....##.#.#....##..##..##...######.##........#######.##...####.####.##...#.##..#.##.##..#.####....####.#####..#..##...#..#...##.#.#...#...#######...###..#.##.#.#.##.#.....#.###.#.#..##.######.###.###.#.....####..##.###.##..##..#..#.##..#..####.......##.#.....#.....#..#.###....#....#.#.##.###.#...##.#...#####....##.##.###.....##....##..#....##.####...##.##.#.##..##....###.#.#...##....#.####.....#####.##...#.#.....##.##.####.....###..#.####.#..#..###.#.#.##.#..#...##.#.##..#..#..###..##.###.....##.##.##....#.##.##....##.#.....##..#..##..#.##....#.#........##..####....#..#.##..#.##.#....#..###..##.#..######.#..#####.####.....#.#.###......###....##.######.....#.###.....#..##.#.....#...#.#..#.##.#.##...##..##...#####.#####....###..##.....##.#.##.#.#####.#.#..#.#.###......#.#..#..#....#...##.###..#..#####...###.##...##.##...##..#....########..#.##..#..##.##...####.#.###.##.###..#####..#.#######...#..##.##.###.##.#.####....###....#.####.#.#.#..##..###..#.....######.#..#.........#######.###..#..###...##.#...#...##.##..##...###...##.#..#####.###..##.####.#...######.########.###.#....#.#.#...#####.###...#...####...##.##..#.########.####....###...#.#..####.#...##.##..##.#.#......#.####...#....#....##.#..##.....######..##.#.#####..##..#.....#.#.#.#..##.##.........###........##.#.##.#.....#....#..#######.#.#.######....#..#.###.#####.##.##.##..#.#...##.#..#.#.##.##...#.###...#.##.#....#.#.##.####.##....#...####.#.#..##..####.#..###......###.#....#....#..###....##....#...#...##..#.#...##..##.####.#....#.#.#..#.#.#..#.#######.#.#...#.#.##.....#..####.###......###..##.#.#.#...#.#..#..#..#..##.##.###.#.##.#...##..#...###...#..##.#.###.#.#..##.###.#.######..##..###.#.#####....##.####.#....#..###..#..##..###..#..#...###.#.####.##...#.##..###...#...###.#...####.#####.#..#.#..#.##.##.#.###.###........#..#.###...#.###.#.#...##.#.#..######............#..#.#..###.#.###..##..#....
..####.##..####.#.##.##.....#..#.....###.#.##.###.#####..##.#####.#..####....##..#.#.#####..#####..##..#..###.#....#.###.##.#.#...###.#.#.#.######....###.#....##.#...#.#...###.###..#..#.#.##..##..##..##..#.#.##.#.#####.#......#.######..#.#.#.#.....##..##.##....#..#..#..#.....##.#.#......###.#.##.#..##.....##.#.###.....##..#...###.#.#######.#..#.#...#..##.#...#.####...#...#.#......#...###.#####..##.#...##..#########..#...##.#.###..#...##.#....#.##..##....##...#.#.###.##..##.#..#.####....#.#..#.#.#....#..##.##.###..###..##..#########....#####...#.###.#..#..........#..#####.#.##...#.##..###...##.##.#..#.###.......###..##.#######.#...#.#.#.##.#.#.###..##.###.###.###.#...#..#....#.###.####.##..##.###.....####.#.#.#.#..#.#.##.###..#.######..###.###.###..#.######.#.#....###.##.#....#.#...#.....#.####...###..........##..##.###..#.#...#.#.###.#####..##.#.##.#..#..##.#.#.#####.#..#######..#..##..###..##.##.#.#.#.#..#.##..###.##..#...#####..#.#.....##.###..#.##..###..##...##...####..########.#......####.##...####.##...#.#.##..#####.##..#.....#...##.###..#...###..##......#...###.##........####.##...##.##..####.##...###.##...##...#.###..#..#..#..#......#####.....#.#....#.#..##.#####.#.#.#.#..#.#..#.....#.#.#.###..##..##.#..#..##.....###..##.....#.##..#.#.#..#.###..#.##..#...##.#.###.##.#..#....###......#.###.#...##.#########..#####.#.###.....#.##.#.#.##....###.####..#.#.#.##..#.#...##..##..#.##...####.###..#..###..#..#.#.#...#...#..#.#......#.#.#.##.####.#...........#.##...#.##.###.#..#...##.#..#.#.#..#....######.#.###..####....##.#.#......###...##.###.##.#..##..##...##.##.####..#..##..###..#.#.......#.#...#.##.#.####.###.####...#..###......#...#.##.###......###..##.####.#...#..#......#####..##.##...##......#.#.#.#.##.#.##.###.#.....###...#...#..#.###.......#......#######.####.##.#.#.#...#..#.#...##.#..##.......#..#.##.#..#..###..#...##..##..#.##.######...#..#####.###.##..#.#.#.....#......#..###...#.#...####.#.#.#..#.#..#.#.#.##...##...#.#####..#.#.##.#.##..#..#..#..#....#.####.
.#####..#..###..#.###.#....########.#.###..#....#...####....##.#.#.#######...#.#.#########..#.#..#..##.##..##....###.#.##.#.##..#.####.#.###.##.#...##.#.##.#..##.######.#.###.###.#######...##.#.###.#.#..#.#..#..#.####...#.#.....#.#...###.#..#.#.....#.#..#.###.....#.....##...#.#.###..#.#..##.#.##...##..#..#...#.#....##.##.#.#.##.###..#######.#.......##.......##.#.####.##.##.#.##..#.##.##.#.##.....##..##.#..#....#..##..##.##.#..#.#.#.#...########...##.##.....#...###....#.#........##.#.###..#.##.##...###.#.###..##..#..##..#.#..####..##..#....##..#.###....#.#..###....##.#.####..#..#...##..##.#####.#.##.#.##.##.#...#.#.#......##.##.#.##..###.#.#.###.#.#..###......##..#..####.......##..##.###...#.##.##..##.##..#..##...#.#...########.##..###.....###...#.#####.##.###..####...##..###.#.#....##.#..###..#.#.##....##.##..#.#..#.##..#..#####.####...#....####...###.###...##.###....####...#.###..#.##..#..#..###...#.##.#.###..#..#.#.##..#.####...#.#..######...#...#..#.#.#..#.#.##.##..##..####.#..#...##...#...#..##....##.#.#.#..#..#...##.#.####..###.#...#.#....#.##.....##.###.#..#.###..#..###..#..###.##.##.##.#..#..##.#......##.....#.#...###.####.#######.####.#..#.....##.####.#..#..#..##...#..##..##...#..#...##.###.##########....##.##.#.##..###....##..####.#.#.###..###.#.###..#.....#..##.#..#..##..#....##.###...####..###.#.###..####...###.#..#..#..###..#.#...####....#..#...####..#.##...#.#.#.##.####.#.###..#.####...##.#....#.#....####.###..#...#.##.###..#..###.###..#...#...#..#..###.##.##..#.#.##.##.....#...##......###.##.##..##..#...##......##.##..########.....#..###..#.#.###.#.#.....#..#..#.#####.......#.#...#....#..#...#.####.####...##.##.##.##..#.######..##.#.#..#..##.####.####.#..##...##..#..##........#.#.#.#...#....#..##.#.......#..#..#####...##.##...##.#..##.#..###.#..##.###.#.##..##..###.##..####..##.#.#.###..#..#..#...#.##.#.#####.##.##.##.....####.#...##.###..##..###..#...#.##.##.##...####....##...####.####.###.###..##.#######..###..#....###.#....###.#..#.##..#..#..#...##.
.###.##.##.##.#..###..#...###..##..##..##...######...#.#.####..####.#####.###.#.#...##..##.###.#..#..#.###.####.#.........#.##.#####.###.##..##.###..##..####..#....###..##.####.#####..#..###.##...#.#.##...#####...#.....#...##.#....###...#.###....###..##.#...#.#..#.#####...##..##.###.#.##...#.#.#..#####.#.##...#..#....#..##...###..#.#..##.##.....#..#.#...##.#...#..####..#...#.##.#.#..#####.....###.####.#.##....#.#..####..#.#.#...#.###.###..#.#.#.#...##..#.#...####...##.#.#.#.#.##...##...#..#.##..##..##..###...#.#..##.#..#..#.##..##.#...####.##...#..#....#..######.#.##.#..####....#...##.#.####.##.#..#..##......#.###......######.#.#.##..##...######...##..##.#...##..########..#...##.##.##.###..#.##.#.####.##...####..#..#...#.##..#.#..##.####.##..##.###....#...#...#..######.###..##.#......##.#..#..#..#.#.....#...#.#....#..####.#..#..#....###...##.##.######........#.#..#.##.##....#......#####..##...#.#......#.#.##.#....#..#..#.##..#..##..##.####..#.##.#.##..##..#.#.##.#####...#.#....##.#.#....#.###...#.#.#..##..#...##.####.##.##...####....#.##########..#.#..#...##.####.##.#..#.######.####.....#..#.......#.###..##.###.##..####.###...#.###..##.#...##......#..#####.####...##..#.##...#....###..###.#.....#..#.#.......#..#.#..#.##...#.#.#...##.#..#.##..#.###.#....##..#.#.....#.#....#..#..##..#..###..##....###.#..##..#.#.#...#....#.#..#......#..####.#....#....#.####..###..#.##.##.#.#.....##..###......#..##.##.####..#..###..##.######.#..#.##.#.#..#.####...#.#.....#.##..##.#.....##.##...#...#..#..##.....###.###.#####.##...#.#.#.##....#...#.#.###..#.#..#####......#.#.#######.####.###.#.....##..#.##.##.###...##...#.#######..#.#.#..##....#.#####..##..#..#.#.####......#..#.#...##.#.#####.##.#.#..#.####.....#.####..#....#.#######.##...#.##.##..#.##....#.#.###.##..#.######.....#.###.##.#...##.##.##.#.#..#.#...#.##..##.##..#..##....#.#..#####.#...####.##.####.#.###.#.##.###....#.#....#.####.#..#..#.#.#####.#.#.###.##.####.#.#..##..#.#.##.....##.....#.###..###...#.....###...##.##..#..####
.....#####...##...#...#..#.###....#..#..####..##....#######..#...##....#..#..#..#.#..###...#...#.#.###.###..##....#.##...#.#.#....#.##....##..#####..####.#.###.##....#..#.#..####.#..#.##.####..###..#####..#...##.#...#.....#......####..#.#.##...#..#..#.#####..#...#.#..##..#.....#..#...######..###......#..###..#.#.....##.##..##...#####...#.#..#..###.##.....#######.##...##..##..##.##..##...#######.#..####..#..##.......#.##...#.#.#.#######.#..#.#.############.#.###.######..#..###.#.#..#.#...#..###..#####.##..#.##..##...#######..#.##....###.#.......#....#..#..#.##.#...##.#.##..##.##..#..#.#......#...######.#######.#.####..#..##.##.####..######.#.#.##..##...#.###.####.#..##.#..####.#..#######...#####.#...#.....#.###...#.###.#.#.####...#####.##....#...#.####.#.####.......#..........#..###..##.#.###..###.#..#...#..##.#..##.#.##...##..#...#.##.########...##..#.###.#.#..#.###..####..#......#.##.#..#.....##.#....#...#...##.####..##.####..##.#.##.#.####.#....#.#..#..#.#.#.#...######...###.#...##....##.#.####.#.##....#.....#..#.....##.#.#####..#.###...#######..#####....#.######.#.#.#..#..#..#.#####.###..#..#####.#.#...#......#.#.#.##...##..#####.##.##.##.##.##....#####..#.#.....#...#...###..#.#.#......##..#.####..###...##..###.#.##.##..###.#.###...#..#.....##.####......###..#..##...#.###..##...#...###.##.#...#####.#.#########.###..#..#.####.####..#.#.#.#.#....#.#..####.##...#..#..##.#.####.##..##..##.###.####..###.##########.##.......#..#.#..#........#.##.#####.#..##.#.#########.##.#.####.##..#.###.#.##.#.###...#.....#...####..###.#.#.....##...###.###...#..###.#.#..###.#####.#.###.###.#.#.######...#..#......##..#.#.#..######..#.#.###.#..##.##...#.###.#..##..#..#......#.#..#.#.#.###.#.##..##.#.##...#..##..####..####.#.##.####..##...###.##..###..#####.###....####...###..#.....###.##...#.#.##.#...############..#.####.#.#..#....#.#..#..##.##.#.#####..#...##..####...#.##..###....##.#######..#...#.#.###...#..##.####..#####.#.#...#.###.#.#.####...#.###...##.##......#####....###....##..
#...#.####.#..#.##.....#..####.#.#.#.###...##...#.#.##.#..###.##.....#.#...#.#.##.....##...##.#......#..##.####...#..#...###.#.#..#.####.##.#.#....#..###.....#.###.#...#.#.#...#.##.###.......##..####...##.##...#.####....##..#..#.#....#####.##...####...#.##..#.##...####..#.#.#.####.#.#.#..#.###.##..####.##..#.#..###.#.###..#.#..#.#.##.##..#########.#.....#####.##.#.##......#..#####.###.#..###.###.#.##.##.#####.##..##.#.####.#.##..#.......######.#..#.#..#.#.##.#.....#...#.....#..####........#.#.###..#...#.##.##....###.#.####.#.####.##...#.#..#......##.##..###.##..#..#####..#..#....#.#.##.#..##.######.###..###...#.##.........#.#.#..###.##...#..###..#.##..###.#.###.#.....###...##.#.#.#..#....#.#.##...#..##.#.....#.#..#..##.##.#.###....#.#..###.##.#.##..####..#.###..##..#.##.##.###....#.#......###.#..#.....#..##.#.#...#.#.##..##..###.##..#..#.#..#.######..###...##.######.#.#..#.#.#....##..##..##...###.......#..###..#.##..#####.........#.#..####..#...#.##.#.#.#.#...##...##..........##.####...#.###..#.####.##.#..###.......#..#.#####.#..######.#..##..#.#.#####.###..##..###...#.##..#####.####....##.....###...#...##.##.###.#.#..#..##.#.##..###.###...#..####...#.##.#.###.#..#.#.#..#..###..#####.###.###..#.#..#..###.#..##.###...#....#.#...##..##.##.###.#.....##.......#...###.#....#.#...##..#...########..#.##..#.####.#.#....###..#.#....#.#.#.#.#..#..###....#.#..##.#...#.###..####.....#....#...#..##..####..##....####...#.##.###..#..#...#.#.###.##...#..#.#.####....#.###.######.####..#...#.#....##....##.#.#..#.######.#.......#####.##.##....##..#..#.#.#####..######..#..##.#.##.....#.##.##..####.#.#......#.##.##.###.#####..#..####.##..##..#.###...###.#.##...#.##...#...###.#..#.##..###........##.##.##..#.#.#....###..#.##..###.##.#...#....##...#.#.##..#...#.#.#.###.##.....#.#..#.#.####.#.....###.#..#.##..#.##..###.####...#..#.#...#.#.#..#####...##..####.#..##..###...#..######..##.##.....#####...###..#.###..#....###.###..##.#####.##.###.##.#.###..##.#..#..#..#.##......#####.#.###.#..#.#
###..##..####.###.#..##...#..#..##.#####.....#..##.#####.#.#.#..##.######....#..####..#..#.........#.##..#....##..##.#.#.##...#..#....###.#.#.#....#.#......#.#.#..#...##.....#.###.##..#..##.#.#.#.######....##...##..#.#...#.###.##########......##..##..#.############...#..###.######.#.##.....#...#####....#..#######....##...#..######..#.####..###..#####.##..######..#####.#.##.##...#####..######.#.###.#....#.#.#.#.#.#..###.##..#.#..#.###.####.#######.....#..###....#.#.##....#..##.#......###..####..##.#.###.########.#.##.#.#.#.##.#...#.##..#...#..###..##..#..##..#.#..#.#.##.##.###...##..#.....#..#.##........##.#..#####.#####.......####..#..#.###...###...#.###.....#.##.##.#.###.###.##.####..#####..####.##.#..###..####..###..#..##...#.#.#...#####.#.#.#......##...#.##..#..####.######.#..#.##.#####.##.#.####.#.###..#.#.......###.#.#######..#....#.######.#.#..#...#.#.###...####.####.#..##.###.##..###..#...#.##.###..##.#...##..####.####...##.###.....#.#.#.#...#..#.#..##...###..######...########..###..#.##..#.#........#.###...#.#..##.##.#.###.###...###..######...###.#####....#...###..#.#..######.#####.#...###.#..#.#...##.#.#....##..#...##.#......##.###...##.###.#.##...###...#..#.###...#..#..###.##..####.#....####..#####.#.##..#..#..#..#....#...#....#.##.#####.###.##.######...#..#.#......##...###.#.##...#.##.#...#..####.#.....#.#####.#.#......#..##..#.....#.#..#...###.##.###...###...#..#..##.#..#....#..#...........##...##.#.#.###.#..#####...##....##.........##.#...#..#.......#.#..######..##.#...####....###..###.###..##..##...#.##....###.#####.#.#...##.#..#.##...#.##..#...#......###....#.#..##..##...#.#...#......####..#...##.#..#.#....#.####..#..#.##..##.###...##.#..##...#..#......#.#.##.#...#####...#.####.....###..#...##.#.###.#...#.#.####...#..#####...#..##..####.#.####.#.##....#...#.##.##.#.####.##.###.#..####.#.##..##.#...#..#.....#....#.#.....#..#.#....#.##....#.####.###...##..##.####.##.######..#...##..#####..#...#.#.##...##..###.###..#.##..#..###..#.###.#..####..##.#.####.
.#.###.......##..#...####.#####.###.###.#.####..##.#.....#.#.##.##...##..##.###.###...##.#.##..#####.......####...#..#.##..#######...##....#.##..#.##...#...#####.....#...#...#.#####.#..#.#..#..####...#.#.##############.##...#.#########.#####.####..##.##.###.##.#.#..#.###..#.#.######..#..#.#.######.#.#.###.#..#.#.###.......#...#.....##..####..#.#######.##.##.##.###.##.###.#..##...#..#..##.##.##.##.#.###...####......#.##.#.###.##..######..#.#....##.###.....#..#.#.##.####..#.####.....#.###.##......##.#...####.###....#.#.##.......###...###.#.#.#.#.#.#..#.#.###.#.#.##..##..#######.#.#.####.#....##..#....#....##.##.#.#..#.....#.####....##.######.########....####...########.####.##...#...##.#..##.##.#...###...#.##.#..#.#.#.#####.######.###...##..#.#####.#....##.#....##.#...#.#..##...#.#.#....#.####.#...#####.....#.##....##..####.###..#...#...#..##...###....#....#.##.###..##....#..##.#.#.....#..#...###.#..#.####..##....##.####..###.####...#...##..#..##...##......#..#.#..#.....##.###......#.#..##.#..#.#.#.###..#####.#..#.#.#..#.#####..#.#..#...#..#.##.#.#..#..##.###..####..#.#..##.##..#####...#.##.#.###.#..####......#...####.#...##......#..#...#.##.#.####..####.#..#..#.....#.#####.#..#....#..##...###.##.##..##.#.###.....#.#.####.....#..#####.#.###..##..#..##...#....##.##.##...#.#####.##......#...#####.#..#...####...#..###..#..........##..##.#..#.#.#.....#.#.##.####.#..#.#.#.####...##.##...#...##..#.#..#.##..#.####..##.#...##..#..#...##.#.###.#.....##.#...##..##.##....#.#..#.#....###.#.###.##......#..#.#...##.#.#.###.##.##.######...###.#.##...#.#..##.#.##.##...#...######..#.###.#..#..#......#.###..###....####.#..#.#.#..#....#..#.##......#.###....####.#.....#...#..###..###...###.#.#.###...#..####..####.##....##.######....#######..#.#.###.#.#####..###..#.#.######....#####...##....###.#..#.#..#.#..####.##..##.#...#..##.#.###...####..#..#......#...##..#...#.##..###.#.#..##..#.#.######...#..#..#...###.#.###.###...##.#.....#####...#..#.###..#########..##.##.#.###.######...#.#...###
.#.....#....##...##...##....#..#####.#.##..##...#.######..#.#.###...#..#.##.#..#..##.###.#.##.#.##.#.###.....#.#.#.##...##..#####......#.##....#..#.###....##...#..##...#####...#..##..#..##..###.#....#.#.#...#.#.#.#....#..#.....#.......########.#.##.##.#..##..#.....#.....#...###..#..###...###.#..#.###.#.##.#.....#.#..#.###....#####..###...####.#..#..#.####..##..#.......#..#.#.##......##.##.......##..#....#..###.####.#..####.#..#..##....#.#...##...#...###.#######......#.##....#.....###.#.....###.###..##.#.##.#....###.#..######.##.###..#..#...####..####.#.#..#.#######.#........#..##.#......#.........##.##...##.#.#..#.#####.##..###.#.##.##.#.##.#.###..#..##..#.#...####.#.#.#.##.#.###.....####......#.###.##..####.##.##..#.....#.###.###.###.#.#...###.########.#.#.......####..#.##..##....#..#..#.####.#.##..#..###.##.##.#.##.####.#..##.#........#.###.#..#.##..###...#....#.###.####.##....#...#..##....#.#######.##..###.####.#.###.##...#.#.#.#...##....##...##.###.#...#####..##.###.#.#.#.###.......#.#..#..#.###.....#...#....##..####......#....#.###.#....#....##.....#.#..#.#..#.######.###..#.####......#..#.##.###.#.#.#.####..###..###.#####...###.#.#....#...#...#.#.....##..##...#.###...#######.#..#..##...#...#.....##...####.#####.#...##..#######.#.######.####.#.#...##.##.#.###..#.###..#.#..###.###.##.##........#.###.#.....##.#.#..#####.##..#...####..#...##.#....#.######..####.####.#....#..#..#..###.###.####.....####.###....##.#..###.###...#..#...#####..#..#...#.#######.##.####.###.##.#.##..##.....#.###.##...#######.#..##...##....#.#.....##.##.#####.##.###...###.....##..#.#....#.#.##..##....##.########.##.#.####.#...#.#..###..#....###...##..#...####....#..###.#..##..##....#.#.....#####.###.#.#..#..####.........###.##...####.######.##.##.#...#####..#.###.####..#...######..#.....####.....#.#...##..##.##.#.#.....#.#.#.#.....#.##..#.....#######.#..#.......#.####..#....#..#..##.##..#....#...###....##..#.#.#....####.##.##.###.#.#.#.#......#..###.#...##.#####.#####..#.#.....####..##..##.
###..#####.###.##.##.#....#....##.###.#.####.....#.#..##....#..##.###..#...#.#..#......##...###.#.#.###.#.#.####...#....#####..####.....###.##########.##..#.####....##..##.####....###.#.#.##....#.#.....#..##...#....#.##...##..##.###...#.#..##.#.#......#.##..#.###.#.....###.#####..##.#.##....#...#......##..#.#....#.##....##...#####.........#.#...##....#..###..#.#..##..........########....#.##..##.#.#....###.##..###.##.#.....##..###....#.###...#.#.#.###.#..#.##..####..#.#..#.###.#.....#.##..#.##..##.##.#.....####.####..#.###.####...####.###.#..#...###..#......##....#.........#..#####..##..#.#.####...#....###.#.###..##....#.#.....#.##.##.##....##.#.##.#..##..#...##.#......#.#.#.##########..#...##....##..##.##..#.#...#.######...###.##..##.#.#####...##.#......###...##..###.###.####.#..#.#.......##.###....######..#.#.##.####...#.#.#.#.####.....##....###....#.######.#.#..#.##........#..#...#.#.####.##.###..###.##.####.#.#..#....###....#.#.......##.####..#...##..##..#..#.#...###.####...##.###.##.##.###..##.#.#.##...#..#.#...###.#....##.###..###.#.#.....######.#..#.#.#.....#..#...##.####..###.#....#..#...#...#..#.#.####.##.#.#..##..#....#.#....#######..#.####...####...#..###..##..#####....###..######.#.##....###.###..#..###.##...#.######..##..#.####.###.#....######..####....###..###.#.#.#..###.#.#.#..##..#.##......#..#.####..##...#..##.##.##...##.#..#####.#..#.....#..#..##...#.#..##.#####..#.##..##.#####.#.##..#.##...##.#..##..####...#.##.#######.#.##..######...###.###..#.###...#...#..###.###..#...#.#...#....#..##.####.#.#.#...#.#...##..#....#..#.######.##.#..#..#.#.##.......##.###.#.#.##....####.#..#.#####.#.#..#..###.#...###.###...#...##...#...#.####......#.##.##.#......#.##.#.###..#....###..##.###...##.#....##.##...#..##.####..####.#..#..#.#.###.#.####.####.#####.###......####..##..###.##.##...####.###..#.#....##.....##.#.##...#..##...##.##.###.##.###......##.####.#...#.##..####...###.#####.#.#.###...##...##.###.###.####..######....###.#..#.###..##.#.#..##...##...##.##.##
...####..#..#..##.#.#.#..##.#.#####.....#..#.##.###....##.#.####..#####.##.....##...#.#..##.#.##..#.###........#.#.#..#..##.###..##.###.#.##.#####...###.#.####..#.#.#...#..##....#.#.######.#..#..#...#..#..####..#..#...#####..#..#####.##....##.##.##.##.####.#....###...##..#.##..#......###..###.##.######..##..#.##......##....##.##....#.#.#.#..#.#..#...###..####..###........#.##....#.###.#####....##..#.#.#.#...##....##.....##......##.##....#.##.###..#####.#.####..####.##..###...#.###.#..#....##.######...#.##.####.#.##..###.####.####.#..######.##.####.#..#.#.#.#.......#..##.#.##.#.##.#.##..##.#.#.###.#####...#.###.###..#####.#.#.##...####.#####.#.##...#..#.#...#.####.####.#.#.#.#######..##.#.#.....##.#..#.#.#.#.#.#...#.#####.###.#####.#.#.#..#.##..#....#####...##.######.#.##.##.#.#..#######..#.....#..#...##.##.....###...#.####..##....###.#.#.#..#....#..#.####.........#....###.#..#.#.....#.#####...####..##..##.#.#...#......#.#..#.##..#.#....#...#.#..##..##.#.#...#.##.##.###.#.#.###....##....#.....##..##.####...#.##...#.##..#...#####.##.#.#.#.#....#..#.#.###..#..##..#....###....##..####.....##...###.###.##.##.##....###....#.#.#..##...#..#.##...###...#.###.##..##...####...#..###..........##.##..##..#.##.#.######......###..#..#......#..#.#.#.....##.###.#.#....#.#..#...###.##..##.##.######..#.#.###...###..##.###...##.##..###...#......#.#..#...#.#..##.#.#######..##..#.##.#.....##..##.#.##.###.#..#..#...#.##.....##.###..#.#....##..#.#.....####.#.#...#.....#..#.#.#.....#..#..###..#.##.#..#..#..#..........##...###.#..#.#....#...##.#.##....#.#...#..##.......###....#.....##.#.##.###.##.####.#.##....####..##..###.#.##..#.###...##..####.###.#..###.#.##...#..##.#....##.#.#....##..#.#.#...#####.......###......#..#....#.#..####.##########.#....#....##.....#.###.......#.######.#....#........#.##...##.##..##..###..##.#######.#....#.#######..#..####..##.###.#.##......#...#.#####.##..#.#.#.#...#.##...###.#..##.#.##.########.##..#..#.#.......#......#..#.###.##.###....#....###.###.#...#..###
#.######.###..###.#.###..##.....#.#..###...###.##..#...#.#.....#.##.##.##.#..##.####...#.#######....##.#........##......#####.#.#.###.#...#.#..##..###..#..#.###.#.##...##.##..#####.###.#.#####.#.#.#..##.#.##.....#.#...####...###..#####...#.#.####.#.##.#...#...#..###..#.#.....##.####...##.#.##.##.#####.#.##...#.#...#.###.#.#.#.#.#....##..##...##..#####.#..##..##.#######.##..#.###.......#.######.##..##.#...#.#.####.#.#....##.###.####.##..##..#.#..####.#.#.#.##..####.##....##.##.#...#.##..###.#....#.###..#...####..###.##...#....#...#....##....###.###.##.#......#..#..#.##.#.#.#...#.##.##.#####....#...#.####..##.#.###.###...##....#.....#.##..####.##.....####.#..#..##..#...#..#####..#.###.......#.....#..#.#.##.#...##.######.###...###.#.##......##.##..####......##....#..#.######..##..#...##.#.#.#.#.#.##.####...####..##...####...#.#####..##.##.#...####.#..#.#....###...##.#.#.#.#.#..#....#######..#.#..##.#...#.#.#.#......##.#..#.###...####..#...###.##...####.#...#....###.#...#.##....#.#.#...####..###.#...#....##.##.##.###.#...#..####...##.#.#......###..#.#.#.#..###.#.######...##.#.#.####.##..#########..#.#####...###.##.#####..#...##.##.###..####.###..#..#####..##.#.###..#..##.#.##.##...#.#####.#..##..#..##.#..#...##..#.######.#.##....###.##.###.#.....##.#.#.##...#.....#.###.#.##.###.###.#.#..#.....#.#..##..#.###.#....#.##.....#..#.#.####....##.###.#..####.#....###.###.#.#.....#....#####.##.##.#...##.#.##.##...##.###.....##.....#####..#....###.##.#####.#..#.###...........#....#..#..#..#..#.####.#..#.#...#.#.#.###.#.####...###.#..#..##.#..###.##.######....###.##...##....#...###....#......###.......#....##.##.############.....###.#####..##.##..##...#..#.#.#####..#.##.##.##....#.##...#.#.###..#.#....#..#..#.#.##.#.#.#.#...##.##..##.#..###...###.#....##.#.#.##.##.##.#.#.##.###.#.#...####...#..#####..#.#.##.##.##.#.###.##########..##...###..##.##.#.####.#.#.##.#.#.#####....###.#.##...#....#....##..#.#.##...#..##.#.###.#..##...#.###.#...##.#.#####.##.##.#..##.........#####.###..#..
.#.#.#.....###.###.#.#...#..##.#.#.#...####...##..###.#.##.##.###..#.#..##...###....#.#.##.###...###......#..##.........#######.##..#.##.#..##.##...##.#.#.###.##.###.#.#.###.##..##.#.#.##..#..##..#....#.##....#..#.##.#.#.##.#..#.....##.##.....#.#..#..######..#...#..###.##.#..#####....##.##......#.....#..#.#.###.###.......#..###...#.#..#.#...#...#.#######..#...#..#.....#...#.########.#.##.#.#...#########..###...#.#.#.###.##.#...###.###.###.#.##.#.##.######......#.#.#..###..##.#.##..#.#.#.#..#...##....###.#..#.#.###.##.#....#..#...#.#...#...#...###..#.##.#..#.####....###..###.##....##..####.##.#.#...#.........#..##...####..#####.######.##...####.#.....#..#####..#.##..##.##.#.....###..#.#####.#....###..############..#...#.#..#####..###.####.##....#.#.####.##..##.###.####..#.#.#.#..###..##.##....###.###..##.#...#....#.##..####........##.##.##.#..#.#.#.##.#.#..#..#.######.#..#.....#####.#..#.#...#.####.##....###..######...#.#..#.#.#####..##....#.###.#.#.##.#...#..##..#.#.###..##.###....##.#......#......##..#..#.#..#.##.###.......#..##.###.#.#..##..##.###.#..#..#..##....####.#.#.####..###......#.##..#.####..#..##.##.##..#..###..######.#..#.......###..#.#.###....#.#...#.#......##..#.###.##.#....#....###.#.....#..####.#.##.###.########.#.##.######.#...###....######.#.#####.#.#.#..#.##.....##.#####.####...#.##.#..##.#.#..##...###.#..#.#.#.#..#...####....#.#.##.#.#....##.#.#.#.##.####.#...#..#.......#.#..####.###.#.#.#...#...##..##.#.....#####.#..##..#......##.###..#.##...#.......####.####..##...#.###....#......#.###..###.###...##.####....#.....#########.#.#.##.#.#..##.#.#####..#..#.....########..#.###.#.###..#.#..#.##.####.##.#######...#.###.##..#..###.###.#########.#..#..##.....###...###....#.######..##..#.##.#..##.#.#.###.#.####....#...#.###.#.###...#.##.##....#####.#...####.#.##....#....#.##....#.###.##.....#..#..#.####.#..##.####.#.###..###..#..#.##..#.##.####..##.####.#...###.###.#....##...#######.#.#.....#.#..#.#.#.###.##...####...#####..###....#.####..#####.#####.###.
#...##.....##.....#.###.#..##..#.##.#######..#.##.##...##...##..#...##...##########.###...#...#...#..##..#.##...#...#.#.##.##.#...#..###.###.#.###....###.#######.#######.........#.##.###.##.##.########........#####..####.##.#.#.###....##...##..##...##..#..#...#....#..##.##.##.#.#......##.#.#.##.##..##.#...#....#.####.#...##..#.....####...##.##.#.#.......#.#..##.#..##..###.###....#...#....####.#..#.##...#..#.#..#####.#.#..#...#.##.#.#..##.#.####..##..#..####...########..####.#..###..##..#..#.#.#.##..##.####.#....#...#..#.##.#.###....#...#.#.###.###.##...#.#......#....#..#...#.....#.###.######..#...#....#.##.#..........##...#.#....#.#.#....#.#####..##.....##.##...#####..#.#.###.###.######.##.#####.####.##..#.....#...###.#...#...##.###.#..#...#.###..#...#.###.##...#..#..##.#.##.###..##..#.##..##..##..#.##..#..#..#..#.#.###..#..##...###.##...#.#....##...#.###..#..###.#..###.###.#....#.#...#....#.###.##..#...#.#..###.###.....##...##.#.#..#.##.#..##.#......#.####.#.####.####.###.#..####.###...#####....##.###.#....##...#.###.#.#..#.####......###.##.##.####...#####..#.#.#..##...##.#...#####..#...###..#...######..#..#...###.###.##.##.##.#.###..#.##.##..#.....#.#.##.#.######.##.###.#..##.#.#.#..#...#...#####.##.#..#...###.#..###..#.#.#...#...#..#.#....#..#..##.##..###....###..#.#.#.....####.##..##.....########.####.####..#.#.#.....#...#.#.###..#.####.##.#.....###.###..#.#.#....##...#.###.##.#.....#.#..#..#..#.####...#.####.#.##.###...#####.#.#.#.#...####...#.#..####..##...#....###..#....####.#...#.##.####..########.#.#...####.#..####.##.#.#......#.....#.###.##.....##...#.#.###.#..#.#..##.#..#.#.##.##.##....##..##..#..###..##......##.#.##.###.....#####.###.#.#...#....##.##.#...#.#.#.....#....#.##..##..#..#..##....#......#.#.#.#....#..#...#.####.#.....#..#.###.#####.....##.##..###.....#######..#####.###.#.#.###.###.#...##.#...#......#...#.##...###..#.#...#..##.#..#.......#####.####.##..#######.#...###.#.##...###...###.#..####.##.###..#...####.#.....#...###.#.#.###........##.#.#
##.....#...###..#...#.....#....##.###..#..#.........#.##.###....##.#.#.##..#....#.####.#.#.#..#.#.#....#..#...#.######.#..#.#..#..#...#..###.#..#.#..#....###..#..##....##.##...#..##..####..#...#..##..##.#.###.#.#..##.#..#.#.##....#.##.#########..#.#..#.#...#..###.#..#.####..##.#.#.#.####.##.#....##.#.##.#####..#..#..##...#..###.#...#..#.#...#.#...##..#.#...#..#..#.......##.#.....##..#.##.##..###..##..#...##.#.#....##..##...#.##.#..##...#...#...######.##...##.####..#...#..##...###.##.##.#...#.####.##...#.#.#...#.#.#..###.#.##.##.#..###.#..#....##.###.#..#...##..###.#...##.##...#.##....##.####..........#.#.#####....#.#..##..#####.....#####.#########..##.#..##.###.#..#..##.###.#.#.#...#.##.##..##.##.####.###.##.#..#..#.###.##..##..######.#.#...##.#####.###.##..####........#.##.##.#..#..#.#.#.##..#.#...##.#.##..###.###.#.###...###..#######.....##.#.###...#...####.#.#..###..#....######..##.#.#...#...##.#.###...#....#..###..##..##.#.##....#........#.##..#..##.###......#...#...##..##.#.#..#.#..#......######..###...###..##.##.##....###....#.#.#..##.##.###.#.#..##.#....#.##.#.##.####..#..#..#...#.#.####.##....##.###.##...#.##.#...#....#.......#.......#.#.....#....##..##.#...#.##.#######.###.#....#.###.#.#.##....#...#..#.##.####..#.##.#.....####.#......#####..####....##...##.##...####...###..#.###.#####.#.#.#..#.#.#.#.....##.##..#...##.#..##.##..##.....#.#.######.##..#.##.##...#.#..#.##.##.#..#.##........#.###.###.#.##.##.##.#.#.#..###....#....#.#.#.#..###.#.####...##.#.##.#...##.#...#.###.#..###...#..##.#####.#.#.##...#.....#..#####.#..###.######..#..##.###.....#.#...#....#.###.##.##...#..#..#.###.#.#..##..###..##.####....##.#.....######.####....#..##...#...#.#..#.##..#.#..###.#.#.###....##...#.##.#..###..#..##..##..####....#...#.#.##....###.#.#.##.#..####..#####....##..###.#..#.######...#....##.#.#..#..####...#..##.....####.#.#.####..#...#####..##.#.#.##.#......#.#..#.#.#.##..#######.###.#......#.##...###.###.#.##......#.#.#.#...#...##.#.##...#....#.#.##..#.#..#..###.##.#.#
#.#.####..#.#....###.#..#..##..#...#..##..#.#...#.####....##..#.#.##.##...#.##.##.#..#.#.#####..###.#...#.#....#.####.#..#.#.....##.#....##..#...#....####.#...###..#..#...#.#..#.##..####.#.#.#..##.#..#...#.#..#..##.#.#.##..#..#####.#..#..#..#.####.#...###....#..#.##..#.###..#..#...####.##.#.#.#.....#.#.##.##..#.##.###.##...#......##.####.#..#......###..##.###...#.#.######.#...#...###..#....#.##.#..#.##.#.#..#..#.#........#.##.....##...#.#.###.#.#.########....###..#..#..#######..#....#..##..##....#..........#.####....#.##..###.###.#.####...#####..#..#..#......##..#.#.####..###....##..#.#####..###..#.#..###.##..###.##.##.....#.#.####....###..##.###...###..#.#.#...#....##.#..#.#..#..##.....#.####.#..##.####.##..#.##..##.#..#.##.###..###...##..#.#..###..#......#..####..#...#..#.##.#..###..#....##....#..#.##.....#.##.##.##.#.###########.#.#.#..##.##.#.#.##...##...##.....#..##....##.#.........#..###..#.##.#..###.###..##..####.###..##.#.#.....#..###...#....##.....#.#.#..#.#.#....#.#...###.###..##.#.#.#..##.#.#.#.##.#...#.##..#.#......#.###.....#.######.##.#..#.#.#####..#...#...###.##..#.####....####....###...##..#.##..#####.###.....##..#.##...#..#....###...#...#..#.###.#.##.##...#.#.#####..#..#..####..........#.....########.####...###..##.##.###....#...#.#...##..###....#..####...########.###.#...#.####.###.#.##.###..#.....#.....#..##.#...#.###.#####...###....#...###.#.##..#######..##..##.####.#.#...#.####..#....#...#.......#.#.#..##.##.#...####.#....#....#..#...##..##.#.##...####..####...#.#.#####.#..###.#.###.##.........#####..##.#.##....#...#..#.##.###..#.#.#......##..###.#.##..#..####...###.#...#####.#.#..#####..#.##..#####..#.#..#...#..###...#.#...#..###.#..#..#..........#..##...###....##.##.###.#.#..#...###..##...####.#.##..#.#.##..#..##.#.##.###..#.#..#.#.##.#.#.#.##.#.#.#..#...#...###.#...#..#####.###......###...#####...#.#..#.....##.#######.##.###.#..#####.####.##....#.....##..##..#.##..##..#...#..#.#..###..#########.##.##..##.#.##.#....#.#.....#..###.###.#..#..###
..#..##..#.##.##..#.##....#..##.#...#.....#.##.###...###...#...#.###...####.#.##..#...#.####.....#.#..###..#......#.###.#.###...#..#.####...#.#..##.##.##..##....#..#.#..###..##.#.#.#.######......##.####.###.....#..###.######..#.##.##.###...#..#.#####...##...#.#.#.##..#....#....#.#.#..#.....##..###......#..#.##..#...#.###..#.##.#.##.#..#..###..#..#.####.##.#..###.###.#..##.#.####.#.##..##.###..#.##.#.##.#.#.##.#..#..#..#....#..##......##..#.##..##..##..######.####..##...#.#.##.##..#.#....#..#....##.#.#..##.#.#..#.....###.#....##..##.....#...#..####.##....#.#.#..####....####.#.###.#.#.##..##.#.#.###.###..#..##.#.##.#......###...##.##.###.#...#..##.####.#.##.#..#####....#.#.#.#.#.##..##...##....#.###.......##.#.#.#..##..#.#..#.#.###..###.##.#...#.######..##..###.#....##.###.##...##.##..#....#.#...###.##..##.#..##.#.#.....#..#.#.#.#..#....##.##.####.##.#.##.#..#.##..##.##....##.#.##.#....#########.#..#.##.#..##.##.####.#.##.##.##..####.#.....#..#.##...###.....#.#......#..##.######.##..#.####..#..#.###..##..##..#.#.##.###....#.#..#.#.###.##.#...##.#........#.#.#.......#.#.....#.###...#.#..##.#####.#.###..#..#.#.####..#....#..##.##....#.#..###......#.....####...####.#.#..#..#..#####...#..#.#.........#...##.#..##..#....#...##.##...#..#..#####..#..#..#...###.###....##..#...######.####.##..#.#..#..##......#..#..###.....##.#.##.#....####.#.#.#.########..##..##..#..#.#.#.#.##.######.#....#...#.#.#....##.###.######.#..#..##.##..###.#..##..###..####..#..#####......#.#####.#..#.###..#####.#...#..###..##..#..#######..###..###...#.####..#....####....######..##.######.#..###....#.#.#..##......#######...#...#.###......#.####.#.##..#..#.####.#..#...#.#.#...#.##.....#######..##.######..#...#....###.##..#..#.##..###.##..#...#.#.#.#...##........##.##...#.#.########.#.#.#...#.##...#.#..#.###...#.#####......##.####..##....##..##.#...#.##.##.#.#.######.####..###.##.##.##.....##.#...##...#...#.....##.......##....#.#.###.###.####....#####.##.....####...##.#.......##.##........##..##..###..###
#####....#..#.....###..##...##..#.###.##.##.#......##..#.##.##.....##..##.##..#.#...##.#...#...#..#.####....##.....##.###.#.#.##.#..#...###.##.....##.#.####.#.#.#######...##.#.##..###..#.#..#......#..#.#...#....####.#####.###..#..###....#.###.....##...#..#..####....##..#..##.#.##.....#....#..#.....##.##.#####.####.###....#.###.##.#..####.........#.##..######..###.#..###.#.#..#.#.#.#...##.#.####.#.####...##.....######...##.#.#.#.....##.######.###.##.#.####..#.#.#.####.#....####.##..##....#..##..#.##.....#..#...##..##..###.#........##..#..######...#..#...#..#..####.##..##....#.######.#....#.#.##.###...###.#####...#.#.#.#####...#.#..###...###.###..........##...#...##.###..#....#.#....####.##.###.###..##.##.##..#...##.####..#.#.##........##.#.####....####.#.####..#.##.#..####.##....#..###...##....###......###......#.###...###.#.....###..##.###.#..#.#..#.###.##...#.#.###.###.##.###.###.##..#.####.##..#..##...#...##.#.#####.....#..###....#...#.#..####.##..#.##...#.#..#...####..#...#.#...#.#.###.###.#..##.#...#####..#.#..##..##..#..##...#.#..#.#.....###..#.#######..##....#..#.#.##....#...#.#....##........#.....#.###........##.##....#.##.....###......##.#.##.##...#..#.###.#..######.##.###.#.######..#.#.#.#.####.#.####.#.####.#.##.....#.#.#.#.##..#.###.##.#.#..#..#..#..#.####.###.#..#..####.#####..###..#......####.#..#..#########...###...####.....#.#...#.#.##...###.#..##.##...#..#.#.#....######.##.#.###.###.####....#.###.######..#..#######....#...#.##.#....#..####..#.####...#.#..##.###.##..##.#.#....#...##.#..##.#.#.#....#.....#.######..###...######.##.#.###.#.###......#.###....#..#......##....#.###..#.......#....#.##.#.###.########..#.#########..#...#.....#....#.#...#..##..#.#.####...##....##.##....#...###...##.##.###..##.##..#.##.#......###...#.######.....##..#...###....##....#...#.#.....#.#.##.###.###.#.........#..###.####.###...###...##..#..#.##.####...#.##.####.###....######.#.###.###.#.###.######...#..#####.##..###...###....###...###.#.#...##.###.#.###.#.##......##...#
##...##...#..#.#.##..#.##..###..#..#..##.##...######.##.#.#.###....#...#.###.####...#.#.######.#...####....###..#..##.#####.....#...##.#.##..#.#.###########..#.###..##.##.#...#.#.....#.#...####..####...#..#.##.#.###.#.#####.###..#.#.##.##..#.#####...###.###.#....##.##...#...###...##..#.#....#.##.##.####.#.####..#.##..####..#...#.###.########.#.#####.#....##....#.###.##.#....##.##.#.###.##...##..#.#.#.#...#..#.#.##.#...####....#..########.#.#.#######.#..#.#..##.###.....###.....######.###..####.###.#..##..###....#..##....###.#....#...####.####.#..#..#.##.#.##....##.#........#######...#.#.#.#....#...######.#.##.#.###..#.###..#...#..#...####....#..#..#.##.##..#..#.#.#####..######.#..##..##.#...#.##.##.#....##.#.#..#.##.###.##.###.####.#...#.#.###...###.#####..#.##...#..#.#.....#.###.##.#...##.#.##.######.##.#.###.##.#.#.####..#.##.####...#.#.##..#...###.#.###.###.####.##...#.#.##.###.#.#.#...####..#.#.##......####.#....#...##.#.#.#......#..#...#..###..#..#..#.#####.#.#.#...####..##.#.#.##.........#...#...##....#.#..##..###....##.##.####...##.##..#.#.#..####.######.###.#.#.#.##..#####....#####.#.##.#####....##.#.#..#.#..#...#####.#...###.#.#.###..#.###.######..#####..###...###.##..#..#.#.##.##.#.#...#.####.#.#...#.###..####.#..###.####....##...##.###.##...###.##..#.##...#.#....#.###...####.#..##..#..#...#.#...##.#...##....#.....#....#.#.#.#.#...#.####..###..##......#..#.#.#..##...#.#....##...##.###.#....##.##..#.##...#...##.####.#....#...##.####.#.##....#...#..#.#.##.#.#..##.#...###.##...####.#.#.######.#...#.##.##.#.#.#####.#...#..###..#.##.###.##.####....#......###.##..#....#..##.##.#.#..#...#.#.#.####..##.#####..#..##..#.###.#....#.#..#####.##.##.#.##..##...#....##.#......##..##.##..#.....#.#..#..#.###.####.#.##.#.#.#.####.#..#####...#...##...###.......###.##.#.#..###.#..##.#..##............#.#..##.###..###.....###.###..##.#..#.#.####..#.#......###.#.#...##.###.##.#.#.#..#.###.####...###.##.#...###.#..#...##.##......##..###.##..##.##.#.##....#.#.#..##.#...#..#...#....
##.###..##.#.###..###.#.###.#.#.#####.#####.#.....###..#...#.#.#.#.##.#####.####....##.##.#..#.###.......####...#.##.#...#.#.....#..#...##...#......#.#...#.######.###..##.##..#.#..####..#.#.#.....##..#....##.#.##..###.#.###.####..##.####..##....#...#####.#....#.#.##.###.##..####.....##.#.####.##.#...##....#......#.#.#.##..#.....#..###..##.#..#.....#######.#..#####.##.#...###.#.#.############..#...#.#.##...##..#..#.#...####...##..##..#..#..#....##.#...###.#.#.#....#..#.##.#..#.##.####....#####.###..#..##.#.###.....#.###....##..##.#..#.......####.#..#.###.##..####.#.#.#####.##.#..#...#.#.##.###.#..#..#.##..###.####..#...#.#.##...#..##..#....#....######.#...#.#.###..###..###.##.##.#..#####.#####.#...###...#.######..####....#.#.#....##..##.##.#...####.##.#.##.####..##.###.........#...#...#.##.#....###.#..#.##...##.#..###..##....####.#.....##.##...###.#.....#####.#.###....#..#....#.###.##.#..#.####.#.##.#.#..#............#.....#.#.#..#....#..#.....###.#.#.#..#..##.###.##..####....#.###...###....#.#.#.###.....##..#..#...#######.#.###...#.#.#....#.##......#..#...#..#.###.#........#..#.##.#.#.......##...####.###.#..###..#.#.#.####.#...####..#.#.#.####.#..###..#.#.######.#.##.#..#####..#.#..#.#####...#..####.#.#.##.#..#.##.##..###.#.#...##.#.#..######.##....#####.####..##.#..#.####...###..####.....###.###...#......###.#..####..#....###..##..#.###..###.#.#....#.##......#.#.##.#.#.#.####..##....##..###..#..#.##...#..##.#..#...##...#.##.#.#.##...#..#.##....##.####.#.######.##.#.....#..#.##..#.##....#.###.#.#####.#....########...##.#.......#..###.###.###..#.###..#..##.#...###.#...##..#......##..##..#..##....#..#..#########.#..###..#.#......########..#.#.#.#....##.##..#...#..######.#.#.#..#.#...###....#......####.#.###....####.#...#....#.##..#.#....#######.#...#.#.###..#....#.##.##.#..#....##..##..#.##..###.##..#.##......##....#..#......#..##..#.#...#.....####....##..#.#.###......##.#......#.#.##.#.#..#.#..###.##.##.#.###.#.##.####.#.###..#.#.##..#...#.##...#..###.###..######...#
###.###..#..#.#....##.####...###..##....#..#..#..#..##....##.#..####.#.###...####.....###.##...#.....#.......#.####..##..#.###..##.#..#.#.##.###.##.#.#....#..####.#.#.#...##....#....###..#.##.....####.###.#.#..#.##.###..#.#....#.#.##...####.#.#.#.#...#..####.....##.##.##.###.##.........#.###.#.####.#..##....###.##.#.#.#.##.#..#..#.#..###.####.###..#.###.#..#..#..##..###.#..#..#.##.#.#.#...#..###.#.#..###.#..#.#..#.##.......#.##.#####...##.###.##.###.####...##..###.#..#.###.....##.#...#.####...#####...##...##.####.##.###..#.######.....###..#.#....#..####.##.#...#..#.#..#.##...#..#..#...####.#..#.....######....####...#.....#####.....#..######.##.#.###.###.#..##......#.##.....###..##.....##.##...#####.....#.##..###.##..##.##..#.....#.#.#.#..##.#####..#####...#.#..#.#.#.....##..#####..#....######.#.##..#..#.#.#..##..##.#.#.###.##.##..######.#...#...##....#.#..###..##....#.##...#####..#..#.#..#.##.....######..#...##..#..####.##...##..#...###..##.#....#######..#.#...####...#.#.##.#.#....#######.###..###..#...#.#..##.##.######.#.####.###.#####..##..##.#.#...###.#...##.#.####..####...####..##....####.#####.#..##.##..#.#.##.#..#.##.##.####.##......#.#..#.#.##..#.#...#..###.#.........#..#####.##...######....####.#.#...##..#..##..#..##....##.........##.###.##.#.####.....#.......###..#.#.##.##.#.....#....#..#....#.#.......#..#....####..#....#....#...##..##..#..##..####...#.#.......#.#..#..#.####.....##...##....###..###.########.####.######....##...#.#...#..#####..#.#......###.....#..####....#.#..#####...###....#..#####..##.#..###...###..####.##.#..#.###..#..##...###.#....####..#...##..#............##.#.......##.##..##.#.####..#...####..#.###.#.##.#.##..##.#.##.#...###..###..####.###.###.##..#.#..#..###.#.#.#..#..#########.#......#######.#.#.###.#####..###..####...#.#..###.#....#.#.##.####.#.#.##...#.....#....##..#..#.###...#...#####.###.....#..######.#..#.###..###.###.#.####......#.##.......##..##.###..#..#####..#..##.##.#..#.......#.###...###..###.##....##...#.#.#.#....#####.#
...#.......#.##...#.##...##.#...#.#..###..##....##..###.######.##.#.#.#.##.#..#..##.#####...##.#..#.##.#.###.##...####.#####.......######..###.#.##..###..#..##.....#.####..#.##.....#..#######.#...#..##...##....#..##.#####...#.######...##.#..###.####..#........#....###...##...#.#.###..#.####.##.#..#...#####..#.####.#.##....#...#..#.#.#.####.#.###.####.#.#..##...##.#.#..#.###.##.....####.#.#....##.#.#.#..#####..#.##..#..#..####...#.###.#.#...###...####..##.##.##.#.######....#.#....####.##..####.##..###.#.#...#...##...#.#.##.#.#.#####...#.###.......#..##.####.#.###..#.###....#....#..#.#.###..#...##.##...###.#####..#...####.##.####...#..#.#..#....###.#......##.####.##..#..#.##.##.##.###...##.....#..#.....###.#......#..###..#.....#..#..#.#...##.#.#..###.#..#####...#.##..#..###.....#.###...##..####..#..##.....#.........#..#.###.#######.....##...##.###.#.#.##.#.#......###.......##..#.##....####.#.......##.#.##.##...####...#......##...#.#..###..#.####....##..#..#..##.#.##..##..###..####...##.######.#.####.#.######.####..#.####..#...#..#.....#...##.#.##..#..##..#.....##.###.#.#..#...#..#...##.#.##.##.###....##..#.#..####..###.#..#..#.#.##..#...#.#..##.#.###...#..#...#..#.#####..#.###...#..##...#..#..#..#..#..##.##.#..##.....##.#.######.####...#..##.#####..#.##...#.###..#...###..###...#.#.#.#.###...###.#..##..#..#..#...##...#....#..#.#..#...##..##..#.#..##..#.#..##..#####.#.#..###..####...####.##.#...#...##..#####..###.#....#.#######.#...##.#..#.........#.#..#.######...#.###..##..#...##.####.#.#.#######.#..#...#..####.#...#...#.#.....#..####..##..###...####..#....##.###.#...###.######.#...###.#..##.##.###..###.#####...###...########.#.#..##.###..#.###...##..##.#..#.#.##.##..##..#######.####..#..#.#.########.####....####.#.#..##...##.###.##.##...#.#......##.#...#.##...#.####...#.....##.##..#..#.#..##.###...#..#.#..##.##.#..###.#.#.#.##..#.....#...###.#.#.#.###.##.##..#...##..##....#...###..###.#..#.#..#.###..#.##..#..###.##...#####.#....#.##.#.###..##.#.#..#..#...###...##..##.
#.#.#.##.##..#..###.###.###.#.#.#..##.###.#.#.#.....#.###.###......##...##...#.########.#.#.#.#...#...##.#.#..###.#.#.##.##...#####.#..#..###..#.#...###..##.#.#####.###.#.#...###...#.#.##.##.#.###.#.#.#.##....#.##..####.##.....###.########.####...###.#.####.#####....#...###..#...#..#.###...####.#..##..#######....###..#..##...#.#.#.####....###..#..####...#..#...#....##......##..#..##.##.#.###.####..##.#.###.##.##.#...##....#..........#...#.#.####..#.#..##....#####.###.###.##..#..#.##.#.#..#.###..##..###.#.#.####.####.###........#.#.#.#..##...#.#.##.##...###.##...###...#..#....#.###..#...##.##.###.#...#..########.#.###...##..#.#..###...##.###...######..#.#..#.......#......####...###..#.#.##..##.#####....#####.#####.####.###..###.#.....#.##...##..###.#.#.##...#...#...#..#.#.##..#####.#.#.###..#.###..##.####.....##.#.#.##.######..####.##...#.#.####..###..#..#.#..##.###.#..######.#.#####.##.#.#..#########..#..#.#.#........#..##.......#..#.###.#.##......##.#...##..###.#.###...##.#....####.##.......#.#.#......#..#######.#.###.##..#..###.##.#.####..####.#.##.####..###.#####.#.##..##..##.##.##.#..#####.###..#.#....#.##..##..#.#.#..#...##..#.#.#..#.#.....#..##...###.#.#.#.#.#.......#.#..##.#.#...##.######.###..##.####.#.###.....##.###.....###.#...##.#...#.#####.#.#.#.###...##........##.#.#..#..##.#...##....#.##.#..######.##.#.###.##..##....##.##.##..#####.##..#.#.##.######.##.#......#.#.#.####..#.#.#.#.#.............#...#..#....#.#.....#.#..#####..####.#..###.##.#.#.###.####.#.##..#.#.###...###.###.#.##.#.#.##.#.#.#..##....#.####..#...#..####.###..###...#..##.#.####.#.###..####..#..####..#......##.#....##...#.###..###...##.....####..###...###.#..#####...#.###.###.#.#.#..#...#####.#.##...##.#.#....#.##..##.##..####..###..####...##..#....###.##..###.###..##.###...###.....#.##.#.####.#.###..###..###.#.#####...##...#.##..###..#.##.####..#.#..#.#.#.#...#.#.#.#.##..#.####.###...#...#.###....#.#.#.#.######.##..###.#.###....#.###...#....#.###.####..#.#.......#.....#####...#...##.###.
##.....#.#.#..#........#....#...##..#######.####..#.##.##..##.###..#..##...##..#.#.##.####.##.#...##...####.##.....#..####.#..#####.....#..##.#..#####.##.###..#.....#.#.#....#######.#.##..##..#.#.....##..###.##.......##.........##.#.##.....#..#..#....##.##.####.##..##......#..#.....#.###...##...##.##.####.##.###.....####..#...##.#.##...#...#...#.#..#.#.######.###..##...#.....##.......###.##..##.#.#.#..#####..#..##.##..#.##.###.#..#.#....#..##..###.#..#.##..#######.#.#.....###..#.####.#.##.#..#...#.#####......#.....#..###...##.#.####..##...#.....#..#....#.#..##.....##.####..#.#.....#..#.#...###..##.#.#.########.#####.##..#.####..##...###.#..##....#...##.#.##.#..###..#####....###..##.#..#...###.####.###..#.#.#.####.#.#..#....#...#..###.######.##.#...#####....###.######.#.##...#..#..#.#.###.##.##.#....##...#.#..##.....#..#..##.#####...#...#...###..#..##.#..##.#......##.#.#####.#..####.##..####.####..#..#...#.#....#.####...#.....#.##.###...#####.....##.#####..##.####..#######..#.####.##.#.#.#.#.#..#.###.##..#.#.#.###.#...#....##.######...#.#...#..##.....#..###.###.##...#...########.#####.#.#.#..###....#..##.#.##.##...##.##.#.#.###.#.#..#.##.#....####.#...###.####.##..##..#..#.#..#...####.#.#.#..##.#..##..##.##.####...#...#..#.#.#.#...#.#.#....#......#####..#.#..#....#..######..#..###.##.####.#...##...###.#.##..##.#...##..#..#.#..#..###.####.#.##..###.#..##.#...#..#.#.##.##...#####..###..#.######..##..#........##..#..##.#.##.##..#.#.#.#.#..####.###.#####.#....#.######...#..#.#.#..#..##.#.###.###.#.##..#..#.###.#####.##.##..##..###.####....#..#.......#.###...#####.#.###.##..#.##.#..##.#....##.######..##...##.#.###.......##..##.#......#....#.###..######.#.##.#...#..#.#.....##.##.###..##.#.#.#..#.###.###...##.#....##.###...####..###...#.#....#.#.##.#.....###..##.##.##.###.##....#....######.#...#..###.#.....###.#..#.#.#.##.#..#.....###.#....########.#....#....#.#.#.....#...#####.##....##.###.....#..##.##.##...##....##...#.####..#######.#.#.#.#.#..#..##.#..#..#..#...#######..
...##.#.##....#.......#.#..#.#...........#..##..##....#.....##..#..##....#.#.######.####.###...#......#.####..##.#.#.#.#..##..###.##.##..#.###.#####..##...#.###...#.###..#.#......##.#......###......########.#...#####.#...#..#.####...#....###.##.##.##.##.#..##.####.#..#..#.####..##..##.##....#######..#.....#..#...#...#.##....#######.#.#..#..#...##.#.####.#.#..####.######...##.#########.##.#.#...#...###.###...#...#....##.#...#.###.##.......#..#.......#..###.........##.##.##..#.###..#.#.#...#..####....#...######..##.##.#####.##...#..#...#.###..#.##...#####...#.#.###.##..#..##.##.##...####....##.#.#.##...###...........#..##.##.......###..##.#....##.###.....#.#...######.#.#####.####.####....#.....#..##.##.#.##..#..##..##.##..##.#...#######..#.#.#...###.####.###.#.##..#.##.##.####.#.##..#..#.#..###..###....#..##....###..####.#.##.##..#.##.##..#.#...#.#.#.#...#.#.#...##..###.#..#...#..#...#########.#.#.#...#..#..#..###.#.#.#.#.#.#######.###..#####....##...#....####.#.##....##....##..###...#..###.##..#...#...##..###..#.#...##.##.###..##.#.#.###.#.##.#...#####......###...##.####...#.#.....#.#.##..#....###.##..####...##...##..#.##..##.#..##..###.#..##...#.#####.#.#...####.###...#..##..#......##.....#..##..#.#..........#..#...###..#...##.#........##.#######.##..#..##...#..##....##.###..#...###...#.#....#.#.##.#######.##.#.#..#.###.##....#..#...#.##.#...#....#.#.###..##.....###.####.#..#.####..##.#.#....##.##......##..#.#...#.#.#####...##.##.#.#.#..##.....#..##....##..###....##.#.###...#####..#.####..#.##....#######..####...#.#...#.......#..#.....#.#.#.#..#.##.#.#.#..###..####.##.#.#..##.####..##...#..#.####.#..#.#..#..####.#.#.#.#...##...#..###.#.....#.#####.#.####..###.....##.#..##..###.#.##...##.###.###.###.....###.....##.#.##.####.....####.......####.####..##..#.###.#...#..###..#.#.#..#.###..##.##.#.###..#..##.#....##....#.###..#..##..#...##.....##.###....###.##.###....#..##..#..##..###.....#.#...#######...#.##.#.###...##.##.#.##....#.#..##.#..#...###......#.#..###..####.##
.##.#.#####...##.#.#....##.##.....#.#.####...##...##.####.##..##.#.###..###..#..#..#.##.#.##.#..#..#..#####.####.#.#..#........#..##.#..#.##..#.#..#..###...#######.##.####.#.#...#.#.##.####.#.......#....#.....#.#.#.##..##.##.#....#.#..#..####.#..##.#.#..#.....##.#....##..##.##.#..###........##.#.#.#.###..#..#####.#....###......##..######.#.##.##.#..#...##.##.#.####.###............####...#..###...#....#.#.#..##..#..#..##....#.####.#####....##..#..#.#...###.##.##.....#......##.##.......#....#####.#.####...####..#.##..###.###.#.#...######..#...#.##...#...#.#....#..#.....#..####...#...##.###.#..#..#.#.#.#####...####....###....###..#.###.#...#.#.##..##..##...#.#.##.###....##.#.#####..#.#.##....#####.####.##..#..#.#....####...#..##..##..###.....##...##.#...####.##.##.##.#.##...#.#.#.#..####...#..#..##.#.###....#####.####.#.##.##..##..#.##.#.#.##..#..#.##.#.#..#####.#####..##....##........#.##..####.#.#.##...##.##.#.####..####.#..#....##...###.#######....#..#.......#.##.##..#.##...####...#.#..#..##.##....#.#.#.#.####.....#####..###....##..##....#.##.#.##..##.#......###...#..###.##.#.##.###.#.#########.##....#...#...##.......#.#..#..##.###...#..##.#.###.##.#.#......####.##.#..#.#.##.###.###.#.......#.#.#.###....##..#....###...##.........#....###.....#######.####........#####.#.#......##.#..#.#.##......#.##..##......##..####..###.#.##.#..##.....#..#.###.##..##..##...#....#...###..#..####....#.####.####........##..#.###.#.#.###.#.#.#.#.#.##.###...#####......#...##...##...########.###.#.##.#.###....##.#.###.#.###.##.#....##...#.....#...##...##..#.#.##.##......#..#.####..##...#.####.####.#####.....#...#.....###..##.#..#.......#...#.###.....#.#..#####....#.#.##.##.#..#.#...#...#..#..#...####.....#.#.#..#.#.##..#.#.##......#.#..#..#..#...#.##..#.#.##.#..##.##.###..##.##....####.#.#....########..##..######..##......#####.##.#####....##....##.###..###...##...#...##.##.##...#..###.#..###.#..##.########.##......####.....#.#...#.#..#.#.#.##..###..#.###.###.######.##.##..#.###....#.###
..#.###.##.######.##..###.#.####..#.....##.#.#.#...#...#.####.##..#...#.#.#..###.....####.#....####.#.#.####..#..#..###.##......##...##..#.....##..#.#....#..##....#..##..######..#..##...#.#.#...#..##.#.##.###....#####.#..#######.##...#.##.......#...#..#.....##.#..#..#..######.##.##..#.###.#.###..##...##.###.#.#..##.#.##.####..###.####..........####.#.#.#.#.#..#.####.#..#####......#.###.#..#..#..#...###.######.....#.###.#.###....#.#.#######....#.#.##....#.#..#####.#.##.##.####.#...#..#.##..####...#.#.####.##.#.##.#####.##.....##.#...#..#.####.###.##.##..###.##.#...##..#.###.#.##.####.#..##.....########.###..##.####.###..###...#...##.#.##.##.....#.##.#..###..##.#.###...#.....##.##..#..####..#.#...#...#...#.#.#..#######.#...#...#..#.######..##.#.#....#.####.......#..#.#.####...##.#....####.#.##.#####......#..##.....#.##.#.##..######.###...............#.####.##....######...##.#.##..#.###....#.#.##.#.#...##..##..#.#...#.#.#...#.#.#####.....##.#...#..#####.#..##.....##.##.......#...#.#..####.#......##.#.#.#.####...#####..##.#.#.##.###......##.#####.##.##.#####.#....#.#.##.##.####.#.##...#..#..##.####.#.######.......##....#..##.##.##.#...#.##.#..##....##.##....#.##..##.##.#..####....###...##.###....##..####...##.#.#...#.#..###.#.##.#####..##.#..#.###.##........######...##...###.#.....##.##.##.##..#.#.##.####.##.#....#.#.#..#.#..##.....####..##.#..#.#.####.###.####.#.#.####..###.#.##....#.#.###..#..#..#.###.##..##..#.#.##...#.##.....###.#...##.##.......####...######.##.###########.######.###.....##.#...##.##.###.###.#.###.........#..####.#####..##...#..#.##.#...#...###...###......#...#.#..####.##.#.##.###.####..#.###..##.#.##...#######..#.######.#..##..#.#.#.#..##..#.#...###.#..#..##.##.###.###.....#..###.###..#.#...##.#...#.#.#.#.#..#.#.#.#####.###..###.#.##.##.##.##.##..#.....#####...###..#..#..##.#.#####....#.##....#.###...######..###.##.#..##.##..#.##.##....###.#.#.#.##...###.#####.#........#...#...##.#.#..#.#..#######.####.....#...#...#.#####....#.#.###.##....##.#..#.#
#.#....####.##..##.#..#.#..####..#..########...#.####.##......#.##.##.#.#.#.##....####.#....###.##......#.#.########...#.###.####...#.##.#.#.#.##.#.....##..###.###..#..##.###.####.#.###....#.......###.#.#.###.....####....##..#.#..##...#.##...###.#.##.#..##.#.##..#....###....#..#####..#..#.#...#......#.###.####.#........##.###..##.#.....####.#.#.#.....###.#.#.#.###..#..##.#..##...####...#..##.##.##....#####.#.###..###...##..#..#.#...##....##.....#####..####....#..##..#.###..#.####.###.#....#..##....#.####..#######..#....####...#..#.##.##...###..#..#####.#....#.#####.#.###.#.##..#.#..#.#...#.#.#.#.##...#......##.#.##.....#...#...#.##.###.###.#.#.#.##..#.#...#..###.#.###.##.#..#.##..#..####.##.......##.#.##.####..#..#.#...#...#.####....#.###.##..####.#....#..#.##.#.#.#.#....#.#...#.#..#############.#......#.#.###.#....###..##..#...##...##.#..####..###.####...##..#..#.#.##...###..#.#..##....#..#.#..###.###...#..###.######...#...#...#.....#####..............######....#.#.....##.#..###.#.####.##.###......###.#.###....#.#.#..#.#.#.##..#.#..#.####.###.##.##.#...##......#..#.#..#.#########.#..###.###.#..###..#.......#..###.#.#.###.##.#.#......#......##.##.###..#.#..#..#.##..#.##.##..#..############......###.#..#.###........##.#.#..#####.##.##.##.###..##.##....###..#.###..###...#.#...###.####.##..##.#.##.#...###..#..######....#.#.##..##...#.#....####..##..#..#..##....####.#..####.##..#..#.....#..#.#.##..#.#.#...##....#..###...#.##.###..####.#..########......##.#....######.###.#..##.#..#.#...#..#..##.#..#..#.#.#.#.#.####.#.....#.....#.#..###..##...#.##.#....##...####...#...##.####..#.#..#..#.#.#.##.#..#..##..##...##.#....#.##.#..####.#...##.#.#.#.#.#..###.#.#####.#...#.#...##..#.#.###.##..####...###.#.#..#....###....######.#.###.##........#..######...#.#.#.#####.....#######......#.##.##.#..#.###.##...#.######.##.#.##...###.##.#..#.####.##......#.##.##.#.#..###..##.#.##..####.###.####.###..#....######.###.#####....#......#.#.##....#.....##.##.#.#...#.......#...###..###.######..
#....##...#....####..##...####..#...#...###.#.#.##..#..##.##.#.##...........###...#....##..####..#....#....###.##..###.#..#...#...######.###.##.##......####.....##.##.#..#.####..#..###....##.###.###.##.#..#...#.#.#.#.#.#.##......#.###.##...#.##..##..#.####..#...#.#....##.#.#.#.##..#..###.###...#.##...##.#..##.##.#...##...##.#..#..##.#.#.#.##.#.#....##.....###.#...#.#..###.#.##.....###...#...#...#..#...#..####.##.#.#.#.#.#.##...#....##.######.#.#...#######....#.###..##..##.#...##.#.......###.#.##....#.#.#.#.##..#..#...####..#....####.#.#..#.#....#.#..#...##.....#.#..####..#.#.##.##.#.#..#...#.....#.###.##..###.###...#.#.###....##....###.##....###.####...##.###.####......#.##.#..#...#.#.#...####.#.###..##..###.#.######.#..#..#...###.#.#.#..#....##....#.#..###...#.#######.#.#..#.####.##.###.#.#.#..#....#.#...#..#.##.....###########....#.#.##.###.#.######..#....##.####..#.###...##.#####..###.###..####.##..##..##.#.##..###.##....####.#..#####.#...#....##.#....###.#....#.#...#.#..#.........###..#..##.#...#.####..####..#.###...#.##.#......##...###..###.#...###.##..##..####..#.##...###.###########.###....#.#...#..#..#....#..#####..##.#####...#...##......#....#.###...###.#.##.#####..#.##.##.#..#.#.......#....###.####.#.......#...#...#####........##..#...##..###.#...###.##.#..##.##..#.##.#..#####.###.####..###..#.#.#..#.#...###..###.#.###..##...#..#..#....###..###.#.#.#.###.#.##.##.##...#.##..##.##.##.######..#.##.#####.###...##...####.##....###.##.####.#.###..#######.##.#....#...####.####..#...#.#.##...#..########.#####..##..#....##.###.#.#....###.#.##..##.#.#..####.##....###...#...####...###...###.##..#.#.#.##..#.#.#.#..##.#...#######.#....#..###..##..###.##.....##.#.####..#.#......#####...#.#....#..#.#.##.....#.####.####.######......#...#...#..#.##..#.##.....##.##...##........##.#.####.#.#.#...#.##..###.#.##.#.###..####..##..##.....#..##.###..##.###.##.#####.#..####...###.###.########.##..##.#...####.#.##.####.....#.#.#.####.##..#.##.##.##..####..###....#####.#.#.#.....###
##..#...#..##..#.#.###...##..#############.##.#.#...###.#.##.###.##.#.#..#....######...#.#..#..#.#.#..#.##..##.#.##.#.###...#.####.##.#.##...#.#.....#..#....#.####..##.####.....#....#.###..##.#.##.##...#.#.##..#...#.#.....##.#..##.#.##.##.##..#.#.....#...#.#.#.#.#####.##...###......#..#..#..#.##.####...#...#.#.#.##.###.#.#..#...#..##...##..#.####...####...###.###..##.#.#.#.#####.##..##.#.#.#.#.....##..#.######....#..#.#..##.....#..#.....#.....##.####....#.##.###..###....###.##.#####.#.##.#.#....##...#.##..#....###..#..#.####....####.#.....#.####.##.##.##..#.###..##.#.#####.##.##.#.###.#....###....#.#...###.#.#.#.#..##...#..#.###...##.####.#.###.###.#...###.###.####.#######.##..###.#.#.#...##..#.#.###.##.##.#..#....####......###..##...##.###.##.#....##...#...#..##...#.#.....#...#.#.....#####.##...#.#####.##......#...#.#.#...####.#####..#...#....##.####.###...###.#.#.....##.#....#..######..##....#.....##...###..###.##.....#....##..#.##.#.......###...#..#.##..#.#..###..#.#.#...#..#.##.#...#..#....##.##.##.##...########...#..#..#.####..#..#.#....#....###...#.###...#.#.#.....###...#.####.###..#..####.#.##..##..#..#.##.#....#.###..#####...##.#..#.#.#######.#.#....#..###..##.....##..#....##.....##....#.#.#..#.#.......#.##.###..#......##.#..#.#...#...#.##....#..##.#.#...#..#...########.##.#...#.#.###.##.......##.#...#..##.#...####...###.#..#.#.##.###.#.#..#.#....####...#..###.#.##.#..##.###.#.###.####.##..#.########.###.##.#.##.#..#.#...##..#......#.###.#..###.#...#....##..#####.#..#...#.......#...#..#######..###..#..###..##.#######.#.##.#..##..#...#....#......##....#.#.#########.......##.....#.#....#...#.###.####.#.#.#..##.##..#.#..####....####...###.#.###.....#.#.##..#.....###..........###..#.#..##..#.#.##.####.#.#.#.#.####...#.#####.....##.###.##..##....##..##..#.....##..#..##...##.##.#..#.#....##...#.#...####.###.###..##..###...###...#..####...####..##.#..#####...###.#...#..####.##.#.#..#.#...#..#..####..##.####....#..##.....#..#..#####.###..##...#.#####..#...##..#..###
#.#.#.###...#....##.##.##..##..#.#.#.#.###.###.##.#.######.#...##.##.#..####..###.....#...#.##.#.##....##..#.#..#########...##.#.#####.##...#...##.####.....###.####.##..#..##..###.##.#....#.#.##.#####.##....########..#.#.#..###.#...#....#.#...##..#####...#.#####....#.#.##..##.##...##..##...#.#.##...####...##......##.########.#...##...#.######..#.##.########..####..#.....###.#...#..#####..#######......##.##...#.#..####..#.#..###.#.##.#..#.#...#..#.#.#.##.#.##..#...#.#.#..##.###.##.######.....#..#.##....#.#...##.##.#..#...###.##.##.....####..##.#..####.#..#.....#..#.#.##.###.##.##....#.#.#.####..#.####.#.###...#.#..###.######..#.....####...###.####...##..##.#.##..##..#.#..###..##.#.#...#####.#..#.#.##..###..#.####...#.##...##.###.###...#..##....###.#...#.####.#.#####....#..##.##.#..#..##....##..##.##.######.#...#.####.##.##...#...#..#.###....#.#.#.#...###.#..##.##.#..###.#.##...##.....##..#..##.#...#......##..###.#.##......#.#.#....#####.##...###....#.####..#.##.##.#....###.#..##.#..#.##...#..#.#.....###.#.#....##.####.#.##.##..#.#..#...##..#.#.#.#######.##.###.##..#.###..##.#.#..##..##########.#.....####.#.##......####..##...#..#####.#..#..##..#.#..#.#.#..###...###.#.##...##...#..##..#.##...#..##.#.....#.#.##..#...##.#####...###.#..#....####..###.#####.##..#####...##.##..###...#.##..#..#...#.##....#.###.###..###...#.#..#..######...#########.#..#######.#######...#...#.###..#.......##.#.#..#.###.....#..##.####.#..######..#..#.####.###########...###..##..#.##.#.####.##....####...#..####.#.##.#.##..###..###......#......#..##.###.#####..###.#..#.##.##..#.#.#.#.##....#.#.##.....#.#.##.#.#.##..####.#.#....#....##.#..####..######..#.....#...#...###.##.#..#.######...####.#..###.#..#.#..#..####.##.##..##.....#.##.##...#####.##..##..##..#...#.#...#.#..###..#..#....#..#.##.....##......####..######.###..#####.###.#..###.##.##.#######.##..##..#...#...######.###.#.####...##...######..##.##.#.#.#.#..##.####..##..#..#######.#.....#....####.#...##.##..#...##..##...####..#.##...##.###.
#.#####..##..#...#..#.##.#...####.#.....##.#.......#.#..#.##.#...#.......#####...#.####..#..##..####.##...#.##..##...#..#.........#...#.##....#..####.###..#.#.##..#.####.#..##.........#....#..###.###.##..##..##...##..#####..#..##...###.#....##.#.#..####..#..###.#.##.##...#.#.##.##..###.#.#..#..####.#..#.......##...##.....###....#.#.....#.#.#.#.#.####.#.##.#.#.######..........#....#..#......#.#.#######...####....#######....##.#.##.#.##..##........#.#.#....##.#....####..###...#..#.#......#.....###.##..#.###...####.#.###.#..#.##...###.#####.#.#...##.##....#.#.#..#.#.....##...##.#....###....##..#..#...#......##...####..#..#.###..#.#.##...#.....#...#.#....#....#.##..#.#..#...##.#...##.###..#.........###.#....#....###.#.##..#.#.##.###.#....######.##....##...#.....#.#.....######....#######.####...#...#.#######.##....###.#..#...###..#..#....#..#.#..##.#.#..######.....#.#.#.#.#..##...#..#.#.##.#...##..#...#.#..#..######.##...##..#####...#.#.##....#.####...#.###..##....###..#.#.....#....#...###...#.##..####...#..#...#####.##.#....##.#...##.##..#.#...#.#.#..##..#...#.##.####.#...#####.##..#.##..#.#..##..#..##.##.....###########....######..#.##.#.##.##.#.###.#.#.####.#...##...###.##.#.#...#..#..###.##.##.#.....#.#.#..##.#..#.##...####...##.###......##.#..####.......#.#...##....#...##.#..##.#..#.##..#.#.#.#...#.##...#.#..#####..#.####...##.#..###.##..######...###..###...##..##..##.##.#.#.#.....###.#.##.##.....##.#.#..#..#.#...#..#.###.#.#....#.#...##.##.#.#......####..##....##.#.###.......#...#.#..#....#.#.#...#...#....#####..#.#.##.######.###.###..#######.#..#.#..#.#...#...#......##..##.#...#.#.#.##.##.##.####..##.#.#..#...#..........###.##.....##.##.###....###..#..#....####.#.#.###..#.....##.##..#####.....###......##.#.###.....#....#...#....###.....##...#.###.###.#.#.###...##.#..##.#.#.......##.#.####.#....#....#.#.###....#.##..#.#.#.#...#.######..#...#...#.####...####.##.#.#.##.#.#..#....#.#......#.###.##..#.##.##..#.##.#.#.##.####.#..#...##.#.........##.#.#..#.##.##.#.#.####
.##...#..##.###.##..#.##..##..###.##....#..######.#..#.#....###.#.#.###..#####.......###...#.##....#....#.#..#....####.###..##..#..#..####.##.###.##.##.####.#.#..###..##...##..##....#..#.#.##......##...#####...#.###...#...###.##.####.####.###..##.###...........#######..##.#...####..##...#######.##..##.#....#...####.##..##......#.##.#..#.##...#..#.###....#...##.#.#..##..###..#.#.#....#.##.#.#.....##.#..###...##..#...###..#.##..####.#.....#########...#####..##...#.....#.##.##.##.....#....##.#####.#...#..#..#...##.#...##...#.......#....##.#.#.#...#..#.#...###.#..##.##.#.#######.##......##.####.#.#..###.##.#..#......###........##.##.#####..##..#..#...##.#..#.#...#...######.....###.##.#.#.#......#..###..#.....##..#####...##.##..##....##.#.#.........#.#..######.....####..###...##.###.#...####......####.#..#..#.#..##.#..###..##...#...#####.#..##.##...##.###..#.#.##.....#.##.....#####.#..###.##.###.###...##..#####...#....#.####.#...####..##...#.#..##.....##.####...#.##.#..#.#.#.#.##.##.#.#.####.###.#.....#.##..#..###.#.....#....##....#..###.#.##.##.####..#.#...#.##.#.#.#.###.#...##.#.#..#.##..#.#......####..##.#.##....##.#..#....#...####.###.#.##.#...#####...####...#.#...###..###.########..###...#####...##.#.#.#.##.####..###..#.......#.###.#.......#.#...#..##..#..##..#.#.#.####...##.#.#..##.#.##......#.####..#.##..#.......##..####.#.###.#....#.#.#.....#..####.##.###.#.#.##..###.#.###.##...#######.#.#######.#..#.#...####.#.#...###..#..#..###.#.#.#.###..#..###.#.#.#...##.####..##.####...###.#.###...#.#..#.#.#..#...##..##...######..##.#.####.....##..#...###.#.#.#..#..##.#...##.#######.#####..#...#..#.#..#.##.#.#.##...#####.#.###.#...####..##..#.#.####.#####..####...###.#.#.#########.#....#..##.##..#######.#.###..###.##..###..####.#.#...###..#.###..##..#.##...####..##..#..##.#..#####..#...##.##.#..###.#####.#...#.#...#...#.#..#.#.##....##..#...######.####.#.....##..##..#.#.#...##....#.....#....#.####...#......##.#.##..#.#...###.#.#.##..#..##.##...#..###.#..#...#....#..#####..#.
.#...##....#..##.#...#####.#...#....#....###...#####..#..#.#.#..#.#.##..###...###.#.###.##..#..#.#.#..#.....##...#..#.#..####..#.##.##....##...#..##.###.##....#....#####....#....#.##..##...#....###..#.......#.##.########.####....#.#...###.#....#..##.#.#...##.#####.###.#####...##.#.######.#........#...##.###...#####.######.###.#.....#..##..##.##..##..#.###..##.##.##...##.#..##.##.###.##.#....####.####.####..#.#.##.#..#....##.#..##..###..#..#.#.###.####.###.#######.######.#.##.###..#...###..####..##..#.#...##.#.#.#.##.#.####..#....###.##.##...##...###.####....#.####.#.##..####.#.#.##.##....#######..#.##.#.#.#..#....#...######.#.###.#..####.#..#.#..#####......#.##.####.##....#.#.#.#....#....####.##.###.###..#.#..#.##.#.#####..###.###.#...#...###..###..##.#....##.#.######...#...##....#..#.#.#.#.##..#...###.#.....#.###.##...#..##..####.###.###.#####.##.###.#.####.###.###.###....##...#....#..##..#######...#...#...#....##...##.##.##.##...##...##.##.#...#.#.#.#....#####....#..##.#.#...#.####.##.##...##.######...###.#.#.#..#.#.#...#.#..######.#.##.#.##.#.##..#..##.##############.#...##.##.#.#####...##.##...##.#...#..#.##..####...###..##.##.###.#.#...#####.......#...#.##.#...####..#####..##.#.#.###..#...#..#.##.##..#.##.#.....#.###.##..#.##..#..###...##..#####...##....#.#..########.#...#......#.#...#.###.#..#.##..#..####...##.##..#......###..##..#.#####.#...##....##....#...#.###.##.#...###.###....##.#.#####.....#.###.#.#.......#####...#..#.#..##...#...#..######..##...##.#.##.#..##.##....##...##..###.######..##.......#....#..#.###.#.#.#.....###..#...#..#....#.#...#...#####..#.##.#...######...##.....#..##.##..#.#.##.##.#.##....##.###..#..###..#.....###.####.#...###.....##.#..#..###.#.....#.##.###..##.#.......#..#......#..###...#.#...#..##.##....#.##.##...#..#####.#.####..###.#..#######.#.#...#.#..#####.##....#.###..#..###.....#.##....#....####........#.#....#.#....#..####.###..#.##.#.#.#..#......##.#.##..#########...#..##.##..######..####.#..#..#.##...#.....#####...###...##....
.#.#...#.#...#...#.##.##..#.###.....#.##.......##.....###.##..##.###..#.#.#.#..#####.###.#.###..##.##.#####...#.########.######....##....#.##.###.#..#######.###...###.####.####..#.#.#.##...#....#.###.###..##.#.##....##.####..###..###...#.......#...#.#.....###.#.#.###..#..##.##.#.#..#.#..##.##.#.###..##########.#...######.#.#...#####..##..###...###.###....#.#..###..####...#...#.#..#.#..##.#.#..#...#....#.#.####..#...####.####.#...######.....##.#.##.####.....#..##.......###...#.#####.##.##.##.#.####..##...##.#.##.#...#.##..#.#...##.#........###...########..#..####.#####.#....#.#....#.##...##.#..#...#...###...##.#..##.####.###.#.##.#..###.#..#..#..#....##.#.#.#####.#..#..######..#.#...##.##..##.######.#.#.##...##.#.#######..#..#..#.######.##.#..#.#.##..#####.....##.#.##...##...####.....##.....##.###....#.#...##.#..####......#.#.#...##.....#.####..#....##..##.####.####..#.#...##.#...#.#.#.#.#..#.#####.#.#.###.#.#..##..#..#####...##.####.#..#.....##.##..#.###.#####.###...#..#..#.#.#.###.#..###.####.#.....#.....###..########..##.#.###.#..##..###..#.##....#....###...###.##.#.#####.#.#.#..#.##..##...###.#.##..##...##..#.#..##..###.#....##......###....#..#..#.#.#.##.###.#......####..##.##..##..#.#..#.#..#..#..##..#.##.##.##.#...#####.##.#...###..##...#####..##..#.###..#.#.#..####....#.#.#...##..........#.#...##.#.########.###..#....#####.##..######..#.#.#..###....###.###.##.#..#.#....#...##..##..####..###.#.###.....#####.###.##.###..##.#######..###.###..##...##.#.##..#.#....#...###..##...###.#.########....#.#.........######...........###..###.#####.#.#..#.#.#.####..##....##...#.#..#.##..#.####.#####...##.#....#...#....##...#####.#####.###..##.#.#.###.##.#.#..##.#.#..#....#..##..#.####.###...##..##..#...#..#..######.....#.#.#.###..#.##.####.##..#.#..#.#....#..##.##.#...##.##.#..#..###...#.###...#.###.#######...###.#.#.#.##.###...#..#...###.#..#.#.#....####..#..#.##.#..#.#.#####.####..#.##..###.##.#..#.......####.#.###...#.####.#.#..####..#.##.#.#.###..####..#....###..####.#.#
##.####..##....###..####......###......##..##...#.###..##.#...####.#.##.....##...#...##.###..#.#..##.#.##.##..##.##.#..##.##.#.#....#.#..####.#######.#.#...###..###..#.##..###.###....#.##...###...##......#...##.##....###.###.#..####..##.#.##.####....#.#..#.#.###.#.#...#..#.#.#..####.....##..#........###.######..#####.#..#.##.#######.##...#...#..##..#...#.##.#.#.....##.######.####......#.####....##...####.#.#.#...#..#.###..####.##.##.###..#...#...###.###....#####.#.#..###..####....#######..##..#...#.....#####..##.###...######.#...##.#.####.##..#..####...#.#....#..##..##..#.....##.###.#..#.#....#..#####.##..#.#.#.#..##.#.##...#..####.#.##...####.##.........#...#...#.#######..####...###########.#...##....##.#..###.##.#...##....#.##...#.##.##......#....##.#.#..##.#.#.#.####.#..##.#.#..#..###.#..#..#.....#..#.##..####.##.#....#.###......##.##.##.#.#..##.#...##..##..####.###..###.#.#.#..###.##.#.###..##.####.#.#.####...#.##....###.#.###..##...##.#####....#..###.#.###...#.##.##.#..#####.....#..#..###..###..#..#.#.##.###.....#.###.#.###.....#.#..#.##......##.#.#....#..#..#.########.#......##.##..#####..#..#.#.###.#########.#.#...#....###.#...#.#...##.#.##....#...#..##..#..#.#.##.####...#.#.######..#..##..##########.#....##.####.###..##.##....#..#..#..#.....#.##..#..###.#.#.##.###..##.#.##.#.##.#..#......#...#.###...####.##.##....###.####.##..#.#.#.....##.#.#.#...###..###.#..#.#..#.##..###..#.#..#..#..#...###.#.#...##..#.##..##.##....#.##.##..#..#.#.#..####...#.#.#####..####.##.#...#...####.####...#....#.##.#....##...###....##..##.##..###.##...#.###..###.#####.##....##...##.#.......######.#.#.#...#.#.#.##.#.#.##.#..#..###..###.#.##.#.#.#.###....###...#.##..#.##..#..##.#.#.##..#.#####.#####....#...##.##.##.##....##.#.######.#.#..##.####.##.######...#...#..##.#..#..##.#...###...##.#..#.##..#.#.##.#...#....####..###.#...###..#..######.#.....######.....#..#.#####.#..#.##......##.##.#..##..###.###.##.##.#...##..#.#..###..#...##.####..######....###...####.#####..#.##.####....#.##.
..#..####.###.###.#..##.#..##...##.##..##..######.#.###.#.....#...###.#####..###.#.#.#.###.....#.##..#..#...#####...##.#.##.#.#...####..##.####.##..##..#.###..#..###....##......#.......##.##...###..#.#....###..#..#.###.#..##.##..##.##.....#.#####.#...##.##..##..#......#..##..###.....##.#...###...#...#..##...#..##.#.#.#######.#..##...#.##.###..#.##..#...#####....#...#..#######..###..#...#.#...#####.#..##..##.##.####..#.###..#..#.##.#....####.##..####..##..##..##.##.#..###.....###.#..##...#.##.#.....###..####.....#..##.##..#.#.##.#.#..#.#..#######.##....###.#.#.##...##.#.###.#######.#....#.#...##..##.#..#..##.##.#########.#...#.#...#####..##..#.###...#.#...###.#...#.######..#.#.##....##.#.#.##.#.#..#..#######..######.#.##......#....##.#.#..#.##....##.#####.#..##..#.....#.#....#####..##..##...#.##.....#.#.##.##....#.#..#.#....#.###..#..##...##....#.#...##.#.###....#....#####...#.#..#.####.####.#.#.##.#.#.#...#...##.....##.####..#.#.#..######..#.#...####.###.##...#..###.##....####....##..##.#......##..#.##.#####.###.#..#..#.##....##.##.##.#.##..###.#...#..#.#.#....##...##..##.#..##..#.###.###...###.#.#..##...#.##..###...#######....#.##..###.####..##...###.#.#.##...#...###.#...#.#.#..#..#.#.##..#.#...##.####..##.......#.#.#.......#.#####..#.####.##.###.#.###..######..##..#...#..#######...##..#.###...##.#######...#..#.####.##...###..###.#...#.#....#..#.#..##......#...##.#.#.####.#.#.#..#.#.##.##....###..#..#.####...#.##..###.##..##.#.#####..##..########..##.#.#.....####..#...###.###.#..#.#.....##...#.#....#....#.##...#.##.......#.##.#.#.#.#.##..#......##.#...#.####.#...#....###.##..###...#.###.##.##.####.####...#..##....#...##..#####.#.##.#....#.#####..##.#.#....#.#.####.##.#...#.#.#...######.##.##.####......###.####.#..#..##.###.#.#.#.#.##..#..#..#.#...###.######..#..#.#..#.##....#.#.#..##.####.#..#...#.#.....#....###.##..#.#.###......###...#.##.#...#.##.#####..###.##.###.#.###..####.#...##.##..##.##.######.##..##.#.##.###.##..#..##.#######..#.###.##.##..#..####...#.#..#
.#..#######.###.###.###...##...#...#......#.#....#.####..##.#...#....#.##.#.##.#..#...#.#.######.#.#####.....#..##..#..####....#.#..#.#.######.#.......#.##......#.#.#.....#####...#.###..#...#....#....##.#..######.##..#.####..##..##########.#.##.#..##.#....####..#.#...#......####..##..#..##.##...#..#.#..#..##..##.########...#....#.#...#.#...##.#.#.#####..##.....##...###...#.#...##.#.#####..#..#..#..#..###...###...####.#....#....#.#.##..#......#####.###....##..##...####..##...##.####...#.#.#.#.##.####.#...###.#.#.###....#.#.###.#.#.#.#....##...##....###.#.##.....#....#..##.###..#.#.###.#.#.##.##....#.##.#..#.#...#.#.##.#.####.#####.##..#.#.#.#.##..#..###.#.......##.##.#.#..##.##.####.#####...#..##.##.##..####..#..##.#..#.##.###..#.#.#.#..#..##.###.###..###.###.#.#.#...###..####.###.##..###...###.###..##.######........#.#####...###..........######..##...#.##..#.#.#.##.#..#.#.###..#..#..##..######..#.#.##.#.##......###.#...###.#..#.....##.######....#..##.##...##.#...#.###.#.....###..#..#.#..#.###.###.#..#..##.#.###.#.#.#.#.#..#..####...#..##..#.##..#...###..#####.####...#..#.#..###.#...#..#..##..##..#.###..#..#######..#####.##...#.##..#.##....####.##..##..#####..#####.##....#####...#..#...####..#.#.#..##.##..#.#######.##.#...###.##.#.##.####.#.#.###.##.###.##.#.##...#.##.#.##..#.....##...#.#.##.#.####.#...######.#####.####.#.##.##.....###.#####...###.##......###.#.#.##..#......#...####..#..###..##.#...#.####..#.#.#####.##..##....#.#..#.##.#.......#######...#.##....#...###.#.#.##..##.##...#.##.#..#####.#..#..##.#.....#...#..####.###.#.....#.###..##.#.######.#####.##.#...#.#..####.##.#..##.##.##..####.#.#..###.##..###...##.#..##.##.#...#.###..#.#.#..#..##...#.........####.###.###..#.##...##...#.######.#.#.####.#........#.#..#.####.......###....#.....#.#..#..##.#####...###...#..#....#...##..#..#..######.##...##..#.#..#####...##...#.##.#..#..##....##...#...#.#.#.#...####....#####..#.##....#...#.#.###.....#.#.#.##...##.###.###.#.....###...##.#..#....#..#.....#.#####.##.##..#
.#.#.#..#..###..#.....#...#####..########.#.##.#.#.#.####..#...#.....####.####.##.#.###..###..#..#.#...###.#..#...##.......#.##..#..#...##..#.###...###..#..###.#.##..#.....###..##...#.#....#........###.#.#..#.###.##..#.##.#.##..#..#..####..##.#.###..###..#...#####.####.#.##...#.######.....####...#..###.#.####..##.#.#####..###.....#..####.#####.#...#.#..#.##.#..#.#.###.##.#####.#.##..##.#..###..####.....#..##..#.#..###.####..#.###..#.###....##.#....#...#...##....##....#..##..##.##...#..###.##.#.#.###.#.#..###..##.#..#...##...#####.#.#......#.....#.....##..#..####.#.##..#..##.....#..#..#...#..##..#.#.#.#..#.#.#..#.#.##.####.#.#....##.#####.....###.##..#....##.#.###.#.#...###..#..##..###.##.#.##....###..#.###........##.##..##.####.#.##...#..#.#.#.#.#........##...#.###.#..##..##..#..##..##....##..###.##..#.#..#.##....#.##.##.##.####.#..#..#..#..#..##...#.....#.##.#######.#.#######....#.#..####..#...#.#..#.#.#..##..##....#...##.##.#.#...#..#..##..##.##.#...#...#.##.#...####...#..###..#..##.#..#..#.###.##..##..#.##....#.###..#.#######.#..#..##.#..##.##.....####.#..#..#.#.##.##..#.#.....#........#########.#...##..##.##.######.##..#.#..#.#.###..#.##.###.##..#.###...##.#########..##..#..#.#...#.##..#.#..#..##.#....#....#.#####..##.#.#..#.#####..#.#..##.##.#.##.##.###.##..#..#.#..#.###..##..###.###.##..#..#..#..##.#...##.##...#.##.##.#.###...#..#..##..##..#....#.###...#..###..#.##.#.....##.#.#.##.##.......##....###.#..#.###..#.#....#.#..###..#...#.#...####..###..##..#..######.#.#.##.#.##.#.#.#..##.#.###...##......#.##....#.#.#.##.....########.#.####....#.##.###.#..###.####..####....###.........##...#..###...#..#.#..#.#...#.......#######.#..#####..#.#.##.######.####.#.#..###.#..#..##...##.#.#...#..##.#.#..###....##.#...#.##.......#.#....##....####..###..#...##.....#####.#...##..#.#..##....#.#...####.#..###.#..#..####..#.#..##.###....#####.####.##.#..##.##..#..#......#.###.#.##....###..##..#.#.#..#.....#...###.#...###.#..##.....#.###...##...####..#.###...#..##....#..##.#......#
.###.#..#..#####.#....##...###..#..#...#...#.....#.#..#..##....#.#...###.#.###.#..#.##..#..#####..#######.#.#......###.##..###..#..#..#...####.####.##.##..#..##...#..#.###.###.#...#.###..####.#######.#.###.#.#..##.#..#.##.#.#.#.##..##.####..##..#..#.#.#####..#.##.###.....#.##...##.....#####..#.#..#.########.#.#.#.#.....##..##.###.......##.###.#.#.#.#####.##.#.#...######.....#.###.#.#..#..####...##..####.##.#...#...#.##...#.###.#...#.#..#.....###.#.##.#.#####.#.#.##.##.#..#..#.##.#..#.####....##..##.##.##..##.##.#.#..###.#...######.##..#..#..##....#....#.##..######.#.#...#.#.#.#...#.###..#....###...##....###....######..##.###..#...##.##.#.#.#.##.##...####......##.#.####.#..########...#..###.#.####.#....####..#.#..#######.###..####.###.###..##..#..#####..#..##.###.#.#.#.##....#..###....##.###.#.###.##...########.##..##....#....#.#.#....#.....###....##.#.##.#.#..###.#...##..##.#.###.#...###.#....##...#...###....#.......##.#..####...##..###...##.....#..###..#..##.###..#.##....#..#.######..#.#.#...#.#.########..####.#...#..#####.##.###..##..#..#.##.##..##.#..##.###.##.#####..#.###....###.####...##..#.######.##..##...####.#..###.#.##...####.##..#.#.....###.#.###.#.#..#.##..#...#...###.##..####....#.##....#.#..##..###..#..#.###....##..#..##.##.####.##..#...#.#..#...#.#......##.#..##.#..###.#..#.#.###.#......#...#.##.......#.#.#..###.#..####...####.#.#.#.#...#..#.....###.###.#.###.##.##...#.#.....#.##.#.#.#.#.##.#..#....#.#####.##.##..##....#...###..#....###.#..#..##....###.##...#.##....#..#..#####...###.###...##.##..###..##.##.##.#####...###...##......##..#.#....#.####...#..###....##.#...####..#.###........####.##.#..##.#...#.###.###.##..##..####..#...#..#..#########..##.##..#.#.#######....#..####.#.###..##.##..##............##....#.##.###.###.####..#.#...#...###..#..##....#.#...#.#####.#.##.##.#..#..#.#.#.#..#..#.#..#..##...###.###..#..##.#.##.###.#.#.#...#..#...#.###..#.##.##.....###.#.#####.#..#.#..#..####..#..##.....#..#.#.#.########.#..........#...#.##.#..##.#..##.###
#..#..#.#.#.#..####.#....#.######..#..##..##..###.#.#..#..#..###.#.#....#...#.#..#.#...#..######..#....#.#.###.###..#.##.##.###.##.#####..#.#.##.#...#.#...#.......#.##.###.#.##.#..##....#.####.#...###.#.###......##.#.####.....#...#....#.##.#...#.##.#..###.#.#..#.#######.##.....###########.....####...###.####..#...#..##...##.#........##.#.##....#####.##.####..#.#####.#.#.#.##..#.#######.##.##...###..#....#.######..#..#..##...##.#...###..#..#.#.##...#.#....##.#.####..#.#..#.###....##..##..#....###..#.#.#...###..#.##.#..#.#..##.....######..#...#.#..##.###.##..#.##.####.#.#..##.##.####.......######..#.#.#..####..#.#######..##.#.#......##.#.###.##....###..#.#....#....#...#.##...#####...##..###.#..#.##.#.#####.###.##...#..#.##...#.#...##.##.##.##..##.###..#..#...#.####.###.....#.##..#.##..##...#..#.....##...###.##.....##.#####.####.#....#..###.##...##.###...##.#..###....##......#.#.#.#.####.#...###.###..#..#.##..##..##.###....#.###.#..#.###.#....##.##....######.##.#..###..#...#...###.#..#.#...#..#..##..#..#.#..#.##.#..#....###.#.##.##.#.#####.#.#####..#.###..#....#.##......#.##..#.###.##.#...######...##...#..#..#..##.#.....#.##.#######..#..#.##....#..#....#..#.###..#.##..#..###....##.#..##.#####.####.##.#.#...#.....#....#..#..#...#.....##.####....###.#####.###.###.#.#.#...##.##..##.#.#######.#..######.##.##.##......##..###..##.#####.###..#.#....###..##...###.###.######.##...#..#.##..#......##.###.#..##..####..#..##.##..##.#.#.#..#..#.#....##......#########..#.###......#.#.#..##.#..########.#.#...#.#.....###.#....####.#.#.##...##.#.######.####.....##.###..#..#####..##..#.##.....###...##..#.#.#.#...#..#.###...##.##..###.###..#....#...###..#.#....#..#.#..#..#.#.###.#.#.#...##..##.##.#..#.##...#.#.#.#.#..##..#.#..#.#.#..##...#.##.###.#####...##.####....#####.##...#...#......#.#.##..###..#.....#.#..#..#..##.#...#...#.....#..#..#.##.##.##....#..#..#.##..##..##.#...#..##..##.......#.##..#......##..#.###......#.##..........#.########..##.######..#.#.#.....#..##..###..########...#
##.#..#...###..#..##.###..#####.##...##.......#.#####...##.#.###..###.####.##..##.######..###...#..###.#..#...#..##.#.#...###.#.###.#.#..###.##....##.#..##.#.......######...#..####.##...###.#..#..#.#..#.###..#.##..#......###....#.#....#......#......###.###...###.#....##.#..##.#.###...#..#.###.#....#...#.##...#####..#.#.##..#######.#####..####.###...###...#.#.#..########.##..##.....#.###.#####.#.#######.#.##...#.#.##..#....###..######....#.##.#.##...###...###.##.#.#.####..##....#..#.#.##.##...#####.....#.##.....###.#.....#....##.#.#####.##...##.#####.#.#...#....##......#..#####.######...#.#..#####..##..###.....#.#...###..##.##.##...#.###.##.###.#.#...#..#.#####..##...###...#...###.#..#.#.#....####.###.#.#.#..#.#.##.#.#.#...##.#.#....#..#..###..#.##..###....##.####.#####.#.....##.#...#.#.#.###....##...#####.##.#.....###......##..#..##.##.#..#...##.##.#.#.....##.#.#...#...............#...###......#..##...##....######.####..#.#.....###.#.##..#..##..###.##.##.#..#..#.##....#...#.#.#.##.#.######..##.####.....#....#.#..##.#####......#....#...##.##.#.##......#.##.###.##.##..#..###....##...##.#.##..#..#..##.#####...###......#...####.#.##......####.##.###.....#.#.....#.###....#.#..##.#..##..#.#..#..#.#..##.######..##...#.#.#..#...#.##.######...#..#.#.....#.####.##..#..#.#.##.#####..########...#.###.##.##.#.##...#.#####...##.#####.#..#...##......##.#..####..#.###.##....#..##.#.#..##.#.#.##..#...##.#.#.#.#....#####..###..##.##..#....#...#.######.#..#.#.....#.####..##..#.#..#.....#..##..##.##..##..###.####.###.#####.####......#..#.##.###...##.##.#.##..###..#...#..#.####.#....#....#..####.##..#...######.###.#####..#.#####.##.####..#.....############..##..##.....###.######..#####..#.#....#.#.#..####.##.#..##..#..#......#.##.#.####.##.##....#.#..###.##.##..##.#.####.#..##..#.#..##.#.##..#.##...#.####...#.##.###...##..#.#..#.#.####.###..####..#..#.....##.....#.###.###.#..##.##.....#.###..#.#.#..#.#.##.....##.###.##.#.#.#...#.#.###.###..#.#....##.##.#....#....#..##..##....#..##.#.##.
.#...##..#####...#####..##..####...###.##.##..#.######.#..#.....##.####.#.#.###.##..#.#####...#.##.###..#.##..#..#..#.#...#.####..#.##.##.....######...###.###.###..#.##....#.##.#####.#..##.#....#...###.....#.#.#..##.#.#.#.#..#.##......##.#...#.###.####.##.##...#.##..##..#.#..##.#...#.#.#..#####..#####..#....##.###.....#####.#..#..##.#.###.#...##.##.##.###.#.#.###.#..##.##..#..###.##.#..####.#....##...#....#...#.....##...#.##...#.##.#....#.###.#...##...###...#..#..##..##...#.##.#..#.#....##..##...#####.#.#.##...##..#.####..#..###..##......######....#####...###.#.............#..###.###.###...#..#....#.#..###.#.#....##.#.###...#.###..#.#..##...#.###..##.###....#..#.#...#..##.##.#.#.####...#..###.##.....#.#.######.....#...##.#.#.#.###.###..#..##..#.#..####..##.#.##.###.#..#.#.##...#.#.#####.##.##..##.#...######.#..###.#.#.#.#.#####.#..##.##....##.####..##...#.#.##.#.#....####....#.........######.#.#.#...####.####...#######..#.##.##.###.#.###...#####.#.#.##...##...####.###.##..#..##..#.#####...##.##.######....###.#.####...#...#.###..######.#####...#...##..#..##...#...#....##.#.#.#..#.##...#.#...#.###.#..#..#..#...#.#..##.####.#.#.##.....#..#.#.#####.##.#.####.##....#.##....#.###..####.##.#.......#.#.#...#...#..####.####.............#....#.#..#..###.##.#...##..#.##..#.#....#####.###.###...#...####.#.#......###..##.####.#.#..###..##..##.#...###.#..#...###...#.#.###..#..###...###.#.##.####.##....###.#..##...#.#..#.######.##..#.##..#.######.#####.####..#..##...##.##.###.#....###.###.#.#..#.#..#.##..##..##..#.##...##.#...####.#...#.##.#.####.##..##.#.#..#######....#..####.....##.####.##.##.##..#..###..##.####.#...#.#..###.........##.#..#....#.#..##..#.####.###.####.#..##....#.####...##.#..#.##...##....#....#...##..###...#...#####.#.#.#..##.####...##.##..##..#..#.##.##.###..#########.#...##.#.#.#..#...#...#.####.#.#.#####.#.##.##.#...##.##.#.###.##....#....#.###...#.......#...#.#.#.###.#.###......#..###.....#####..#..#...#........#.#.###....##.#...#..##.....###..#..##.#.#....#
#.#.....##....#..###.##.#.##.#...#.#.#..###.###.##....###.##...##...##.####.##.###.....##..###..##.#...#####...##....##.##..#..#.#...#..#..####.........#.####..##.####.##....#.##..#.####..##.#..####....###.#.##..##.#......#.##...#.##.##..#.###.#.#.##....##...#####..###..#.#.#..#.#.#..##.#####..##.###.#.....##...#.##.#..#.####.###..##..#.#.#.#..#.#.....#.######..##..######.......#..###.####..###.#..#....##.#.##.#......#...##.#....#.##..######..#.###.#####..######...##.#.####.#.##..#.#.##.#####.###.##.###.#.#..##.#.#.#.#####..#..#....#........##....##...#....#.#####..#.###..#.##...#..######.#.##..####..#...#.....####..#.#...#..##.#...#####..#......#####.##.##...###.##.##..#..####.#.##...###...####..##.#..#..#.#..#.####..##...#.#####.###.#...#.#..#....##.##.......##.#.#.#.#..####.###...##..##.#......#.###.#..##.#.#####.##..#..#.#####..##.##.#..#.......###..#..#..#.###..##.#...#..##...#.#.#...#......#..#.....#..########..#...#..###...#..####..##.##..#..#.##......###....#.###..###.....####....###..#.###...##...#.....##.#.#..#.##..#..###..###...#.#######.##...########.#.##.###...#.#.##.###.#.###....#..##.###..#.###..#####.#..#.#.##.#.#......#.#..#.##......#..##.#.#####..#.###.#....#..#.#.#.#.#####.##..#....##.##.#..#.###...#...#.#.##.....#.#.##...#######.#.##.###....###...###.#..#.#.#.#...##.###..####..#....###...#...###.##..###...#.####.#........##.##.#######..##.##.#####.#.#.##...##.##.#...#.....###.##.#.#.##.#....#...##..#..#.##...#####..######.#...#.##.#.#.#.#.##.#####.###.##.#...#.#.###....###.....#.###..#.##.#..##.#.##.##.####.....##....#.####....######..##..#.###.#...#..##....#..#..##....##.####.....####...###.###.##..####.#.#.##.#..#.#...#.#.###.##.#######..##.##.#..##..#.....###...####.###.....#.#..#.#######....#.##.#...##.#.###..#.#...###..#....##.#..#.#..##.#####.#....##.#......###...#.###..#..#.##.##..#..#..##...###.##..#.##.#..##.#....#.#..#..##....#.#.#####....####.#.#..#.######.#####..##.#######.#.#..###..###.#....###.#.##.##.##.###########..###.#.##.#.#.#.
##..###.#.#..##.##..##...#.##.......##.#....#.#...#...#.###.###.###..##....#..###.##.#.##.#.#..##....#..##.##..##...##.#...###..##.##...###....##...#..###.#..#.#.####....#....#.##.#.##.#.########...#.#....####..#.#.#.#....####....##..#..####......###.###.##..##..##...###....##..#.##...#..##..##.###.##..####..#.######.#.##...#.##........#####..#.#.#...#....###.###.#.....#.##...##.#..####.#####..#...##.#......#..##.##..#..##..#..#.####....#....#####..#..##.#...#.#.##...#...##.....###..####.###.#.##.##..####..#.#.....##...####.#..##.#....###.#...#..#...#..#..#.##..#.#..#######.##...###..#..##.##...##...#...#....#..#.###......#.##...#...##.....#####..##...#.#..#...#..##...#####...#.##..#..##.##.##...###.#.#..##..##.#.........#.#.#...#####..#..###..##...#.###.#.####.#.##.#.##.#...#....####.......#.###...#..####...#....#.#.##.#..#.#......#..####..#..#..#.....#.#..#.##.###.##.#.###.#....#..##..####....##.##.###.#.###..####.##.#####.#.####...#...#....#.##........#######.#####.##........#..##....##.###.#.##.........###.##.###....##..#....##.#.#..##.#..####..###....###..#...#.####.#....##..#.#..###..##..#.##...#.###..##.##.##...##.#...#.#....#..#.##...######..#.##..#.##.##..#.#..#####.####.#.#....#.##.####..#.#.#####...###...#.#.###..#..........#..##....#..####.###...#.###.##...####...##..####....#####..##.#......#.##..#.....#....#.#...####.#..#..#..#.##.#..#.#.##.#.#.##..#..##...........######....#.#.#...##.#.##.##.####....##.##..#..#..#.#..#.###.##.#.###..##.##........##.#####....##....#...#.....###..#.####.###..#..##..####.#.....#..###..###.#........##.#..###.#..#....####.....#..#..#####.#...#...###.###.#......#..###.###.##......#.#######...#...#..##..#.#....#.#.######.###.....#.##..#..#.#..#..###......#..#.#.#.##...###..#..####..#.#..#...##..#..#.#..#.##.####...#######....#.##..##.#.#.##...#.#####....##.##.##.#....###...#..#.#.#####..#..#.##..#.#..#.######.#...##.#.....#..#..##...#.##..#######.#.....#.#.#.####.#..#######.####.##..##..###.#.#.###..##.....#......###.#.#..#.
.#...##..###..##..#.##..#.....##..####..###.###..#####.###..##.#.##...#.#.##..#.#...#.#...####..#.#.#.###.##...#.#####..#...##.#.....##...#..#.#.##...###.#..#.#.##.#.#.#..#.##..#.##.##....#.#.#.#..#....####..###.......#....##.##.......#..###..#..#..###.#..#.#.....#..#..#..######.....##.###.#.#...##....###..#....#.##.#.##..#.#....######.#.##.#.##..#.##...#....#.####....#.#.#.##..######.#...#####...##...##..#.....##....####.##...#.###.#.###...#.#......#.#....###..#..##..##.#.###.##.#.#....#..##.###..#####.##..#.##..#.###..#.#...##..##.#.######.##.##.###..#.#.#.#.#.##....##...##.#####...##.#...##..#.....###.#.###.##..####.####...#......#..#.###.#.###########.#..###.#..#..#.#.##.#.##.###.###.##...###..####...#.#.#...##.##.#.#.#......#..###...#.##.########.########..#.......#.###..###.#.#.##.......#...####.##.###..###.#.#.###.##.##..##.##......#..###...###..##..##...###.#####...#.##.######.....#.#......##..##.#.##.####......#####.####.#..##.#..##...#..##.####......##....#..##..##..#.#..#.#.###..#.###..##...##.#.###.###...##....########...##.###....#.##..#.#.#.......#........###..###...#.#.#####.#.....#.#...#.####..#.#.#...#.####.#..#####.#..#####.##.##.#.....#.#.##..#..##..##..#.###..##.####...#....###.....#.###..#####..##..#...##..#.#.#...###.##.####....#...##.#...#.#.##..######..##.#.#.#..##.####....#........##..######..#...##..#...###.####.###..##.......####.###...#...#.##.##.#.#..#..####.####.....#.#.....###...#.#..#.#####..#.#..#.##.#.#..####.##.#.##..#...#......###..##.#####....##..####.####.#..###.###.##..#####.#.#.#.#......###..#.#.#.###.##..#..#####.###.#...##.###.......##.#.#...##.####..#.#.###...#..###...#..#.#...##....#......##.#####...######.#....#.###.######.#####....##.####...#.##..#...##.#.......#..............####.#......#.#..######..#....####.........#.###..##.##.#.#####...####.#.#.#..#...#..#..#..##....#.#.##.#.....##....#.#..#...#...#..##..##...#...#####..####.###..#.#.#....##.#.###.#..#..##.#..#..#.#.#.#...#.###.#..##.##.##.########.#######...####...
###...##.###......#..#..###..##..#.####.##.##.#.####.#####......#.##..##..####...#.#.###.##..#.#.#..######..#..######.#....#.#.#.##.#.##.#.#..#.#..#######.#...#.....##...#.#..##..#.###...#.#.#.###...###.##..##..##....#.###....#.##.########....###..##.####.#....#.#....#.#...####..#####.#..##.###..##....#.#####.....#####.#......#.#..#..####.####....#.#.#..###..##....##.#..#.#.###...###..#....#..##.###.#...........##...#.#.##.#.#.#.#.####.......##..##.#....#.####...#..#.##.####.#.#####..###..#######....#...#.#.##...#######....###...#...##..##.########.###.#.##..#.#########.#.#####.#...#..##...########...........#..##.#....###..#.##.#..#...##....#######..###...###..##.#...###.#.....#.##.####.#....###..#..##.#...#.....#.##.##.#######.###.##..###.##.##....##.##..###.##..#...#.#####.#...#.####.###.#..#.#.##.#...#.#.##.#.#...#.#.###.#...#...###....####.........#######..#...#..#..##..#...#...#.#.#......#..##.###..##.#....###.#.#.#...#..#..##...#..#..##..####.......###....##...###....##...#.....#####..#..##.#####.####....###....#..##..#....#....#####.##...##..###..###....##..###..##.#.#.##.#####...##.##.######.##.###.###...#...#.#.#.##.#####.....#.##.##...#.##.#.....#.##...###....#####.#.#.##...#.#.##....####..#.####.##.####.#.###....##.##...#####.#........######...##.#..##.....#..#..###.#......######...##.#..#..#.#.#..#...##.#..#.###...##.##...##.#.#..#..##...###..######....#..###.#..###.#.##.##..#.#..###......##.##...##..######....#######.#..#.##.#..#..#####....#..#.###.####.###....####...#.##..###.##.#....###..##.##.#..##.#.#..#####....###.#.#....##.##..#.#.#..#####.#######.####..#...##.#.#.#.##.####...#.#.#.####..#.##.####.#.....#.#.#.####...#.........#.......######..##########.#.#.....#..#.#.##.#......#.###..#....#.#..#..#.######....#...#..##.#...#.#######....#.#.#..###.....#.##.#.#.#...#.#######...#.....##...#.##...#.....##..#.##..#...##..#..#.###..#####.#####.##.#.#...##...#.#....##..####..#..###..##.#..#...#.###.#..##..#..#.###.#.########.#.#..####...#....####.....#..
.########..####.#.#......##.#.#.....#.##.#......##...####...#...##....#...###.#.....##....####...##..####....####...#.....##....##..#...###...##..##..#.##..#.....#..###.#...#.#.####..#..#..#.#...####........#....#.#.#.#...##.#..#..##.####...##.#..##.#..#.######.##.#..##.###.#.#.#..##.#.#####.##..#.##....###..##..##.##..#..#..##...#..#..##.#...##.#.#..#.#....#.#..#.#..#.##..##.#..##...#.#.######.#..#...##......####.####..####..#.##..##.##..#.##.##..#..#....##......#........#...#.##..##..####.##.#.#....#..#.#.###.#..#.....#.##.#####..##.....#.#.#..#..#.#.#..##.##..##....#.##....#..#..#.##..#.#.###...###..#.##...###..#.#..##..##.##.#.#.######.#...#..##.#...###...#..#.....###...#######.#..##.#.#...###..#.#.....###..##...##...###.#..#.#...#.#######....##..#.#....#..#.##.##.###..##..##.##.#.###.#....##.###.#.##..#.#...#.###...###..###..####.#.###.##..###....##.....##.##.###......###.#....#####.#..##..##..###...#.#..##...#....###.#..#####..###.#######..#.#...##...#.#..###.####.#..#.#...######.##..#.##.#.#..#.#.#....#.##...#..##.###.#.#.#..#.##.####....##..#..#.#..###.##..##..####...###.#.#.......#..##.##.#..#.####...##.#...#...#.#.##..##.###.#.#....#.###.#.##.......####...####..#...#..#..##.###.###..##...###..##.#.#...###.##.#.####.#...#..##..#...###..#.#....#.#....#.##.##.##..#...#...#.#.###.##.##.##......#####.###...##....#..#.#.###.#..#.#..#....#.#..####.###..#......#.###.#.#...#...##..#....#####....###.##.##.##..............#...#....#.....###...####.###.#.###.#.##.#.#.####..##...#..##.####.#.#...##.###.##.#.#.###.#.##.....#....#...###...###.#.#....##...#.####.##.#.#..###.##.#..#..#......#.###.....#.#..######...#..#.#.#.#..#..##.####..#.#.#..###....#..#####...#.##.#####.#.##..####..##..#.##....###.##..#..###....##...##.##.#.#...#.#.....#...#.##.#####.##.##....#####.#..##..###.#..####....#.#.##.#....#...#.#.#..##..##....##..##.#....#...###.####.....##....##....####.#...###....#...##...#.#.#...#...#.#.##.#..##..###..##....#####..........##.##...#.##...##.####.#.##...#####
##....##....#..#.##.####....#.###...####.#.#...#..#..#..##.#..##.##.......####..#.....#...#..#.#...#..###.##.###.###.#.#.....##....##.###.#.......##.#.###.#..###.....##........##..###.##.....#.###....#.##..######.....#.##....#.######.###.#.#.#..###.#..#.#..####.......#.##.###..######...###.#.###...#.#....#.##...###.#...##.....####..#.#.#.#.##.#..#.#..#.##..###.##.##.#.#..##.##.#...###.###.#.#.##...##...##..##.##..........##.####...#.....#....#.#..#..###...##.##..#.#......#..###..#.##.##.#.####.#......###.####..#.####.#..#####.....#..##.##.##.#.#...###..#.##.#.##.#..###.#.#.#.#....###..#..##.....#.##.....##.#.#.#.####...###.##...###.#######.#.###.#...######...####.#.#.###..#........#.######..###.##..#.#.#..#.#.#..###..###....##......#..#..#.........##....#..#..#####..#.###.#.###.###.#.#...#...#..#######......##.##.#...#####...#.####.#..###......#.####.##..##.###.##..##......#...##...###....####..######......#.#####.##.##...###.###..####.##.##.#..#..#.###.##..##.##.#......##.#..###...#.#...##...#.#.########.....#..#..#.#...#..#.#.#......#..##.......#..#.#.###..#.##.....###.#....#####.##.###...#.#..###.########.#.#..#.#..#.##.#..###.###.#.###.###...#..#.##.#...#.##...#.#.......###.#..##..#.#.#.###..##.#..###..###.##.#.##.##..#...#..###..#..##......#.#...####.##..#..###.#....#.##..#.#..#...######.#.#.#.##.....#...#....##.####.##...#.#..#..#..##..#...#...#..#...#..#..##...#.#####...#####.#..##.##..#.##......#..#..##.#..#####..####.##..#.#..#..####...#..####.#..#.....##.###....#..###.....##...##.###.....#..#.#.##.#.#.##.####...##....#...#.##..##..#.#...###.########..#.#.####...#######...##..##.#.#..#.#...#...##.#.#.#.####..###...##.#..#.##..###..###.#..####...##.#..####.######...##.#.###.####......##..#....##..#.##.#......#####.#...##.##....#......#.###.....#.#.......##..#####.###...#.#..####.#..##.#......###..#..##..#.########.....#..#...#....##..##.##..##.#.##.##.####..##.#.####.#.#.#.#..#.......#####.##.#..#..#.##.#.#####.#.#.#.##.#..#....###.##.##..######.#....#..#..#
.#..#..#.#...#..#.#.#.##.##...##.....#..#####..##.###..#.##...#....#................#.#.##.###......##.#..#.#...#..####.##.#...#..#...#.#.####..##.#.#...#..######...###..##.#....#..#.#.#####.#...##..##......#.##...##..##.#.##...#..##...##..###..##..#...#.#.#..##.##..###......#.#######..#.###..#..##########.##.###..####......#..#...###...##..##..#.####.##.##..#.#.##..####......#..######.....#.#..##......#..###..#...#.#...#.#.###..########....#.#..#.#.##.###.#.####..###.#..###.##.....#####.#.#.....#.#...##..#..#.#.#.#....##....#..######..#.#.#......###.#....###...#.#..#.....####..##.#....###..##......#.###..##.######......##.###.....#...#...###..##.##......##.#.#.##.##.##...###.##.#...##.....#..#..#...##.......#.#.#....#.#.##..####.#.#.#..#.###...#.#.##...##..##.#...###..#.#.#.###.####...#.########.###..##.##.##.#.......#..#####.####..###..###.#..##.##...#.###.##....####.......##..#.#.#..##...##.....#######.###.#.###.##.#.##....#.##.#.#######..##.##.####..#.##...#...#.#.#.#...###.#.###.##.#..#.####...#..##......##.##.#.#.#####...###.##..#..#...####.......##..###.#.####.##...#####...#.###.####.###...#.#...#.#.......##.##.#####...#...##.#####.#.##..##.##.##.####....#...#..#...#.#.##.#..##..#.....#.##....#..#.##..####.##.#.###............##.#..#.#######.#..###.##.#..#..#.#.#.#.#...#..#.....####.#####.#..##.....##.##.#..#.#.#..#.#..#..##.###.#...#.##.###.#.#.#.####.#.#.##.###.###..#.#...###..#...#####..###..#.#######.#..#..#.#####.###....#####...#.#..##.#.#.###.####....#.#..#..#...####..#...##..##.###..#..###..##..###....####.##.....##..........###..###..###..#..#..#..##.###..##..##..#..#.##..##........#######.#.########..#.##.#...#####.###..#...#.#...###.#...###.####.#.#.#.###.#.#..##.#.#....####..#.##..##..###.#..###..#...##.#...#.#####.####.#..#..##..###.#.###...#....#..#..##.###.#...#.#.#...#.....###...#.#.....##.##......#.#.#.####...#.##.#..#.#.##.#.##.#.##.####..###.#..#.####..##..###..##...#..##.##.#.###..#.#.#.#..#.###.....#.####...###..##.######.#...####..###..##
#........###.#######........#..#.#.#.#####.#####......#......####...##..###..#.#..#.##.##.##...#..#.##.#...###.#####......#...#.#.#####.#.#..##......##..#.##..##..#.#.##.#.##.#...#.#.###.#.....####...#..#.##.....##..###....###...#.#..#...#.#.##..#####...#.##..........#....###.#.###..#.#..#...##.#...##..####.##..##.#.########....###...#.#....###.###.###.#.###.##.#####....###.#...#.#.###.#####.####.##..##.#....###..##.###.#..###...##..#.....#.....######.#..#..##...#....#.##..#..#..#..#.#.#....##.#.#.#.####........###.##.#....##......##.###.####.#..#######.#.#..#..###..#.#.#.#.##..######.##....##.###.#.#.....#...#..##..#####.#.##..##.###....###.#.#.#....#######.#.#.#.##.########...##.#..#.###...#.#.#.#.....###.##..#...##...#..####.###...#..#...####...##..####.#####..######..#.####.#....##....#.#....#.##.#.#..##.#..##..####.#...#.##....#.#.##......#..#....#..#..###.#.#.#.#...#...##..#..##.##.###...#..##.#....###.##..#..#..#####.#####.##....#####..##.#..#.##....#.#####...##..###..#..##......###.##.##....##.####.#.#.###.#.####.#.##...#.#.#.#..#.#..#.##.#....#.##....###.#.#.##..#.#####..##.#.#.#....##.....#.##.###..#####....#...##..###.##...##...##...#....#.####..###....#.#.#..##.....#.#..##...#.###..#######....#...#.#.######.###..##...####.#.#.#.##....###.#..##..#..#.#...#...#.#.###.##.#..###.#..#.##..#.#.#.#..##..#.##..#####...##..#.###.####.#..###......#...##.#.#..#.......#..#..#..###.###..###..##.....##..#.#.###..####..##.#.##.##########.###...#.###..##.##.#.##.##....#.####...#.##....###....#.#..####.######.###........#.#..#...#.######..#...###..##.##..#.#..#.#.#....#####.###.##..##.##.###.##............#.##..#.#####..#....#....#..#.#.####.#.#.#.#..##..#####..#.##..#.########..#.#.#.#.#...##..##..#####..##..###.##..#..#...##...##..###..#...#.####..#.#.##.....##.###.#.##...#..#..##....#.###.......##...######..##..#.##.#.#####.##.#..#.##.#.#.#...##.#.##.###.#...#.###...#..#.###...#..#.##...##..#.#####...#..###.###.##.#...#.#...##.#..###..#..#..#.###.....#..###..#..##...#
.#.#.####..#...#....####..###.#.#......######.####...#.#...#...##..##.###....#.#..######.....###.##.#..###..#.##.##...##.....#...#....#.##.#..####.###...###.##..#####...######..###.#.#.#.#..###.##...#..#....#.##...#.###.###.##.####...##.###.###.#..#.#.#..#...##..#..###.....###..###.....#.##.###...#..#.#..#....#.......#.#..#####..####..#.#.....##.#..##..#..#..#...#.#.###...####...#.##..#..#..#...#..####.#.#..##..#.....###......#.#..#.#...#....#...#..##.....##......##.#.#####......##.###.#.#....#.##.#.##..##......#..##.#########.##.##.######....##......##..#..######.#..#.#...#....#..##..###...###..##.#..#.#.....##..#.##.##.#......#....#.#.##..##.##.#..#.#.##..#..##.....##...#..#.#.###...#...#....#........##.#.##.#..##.##.#.#.######.########.###........#.#..#.#...##.##..####..##..##..#...#.##....##....#.......#.#..###.########.#####.....###.####.##.....#.#.####.#######..##...#.###.##.#.#..#..#..##..##.###.#.#..##.##.#.##.####.#.....#.###..#.##.#.#.####.#..#.#...###.#.....#..##.#..#.#.#...#..........#####..##.#...#.....#.....###...#.....#.#....####........#.#...#....#.#....#..#.#.#..##.#....#.###.###.#.##..#...#...##.......#.#..####..##..#####.###.##....#####..#......###.##.###.#.###...#..##.#######..#..#...#..#..#.#.#####.#####.##.#.##..##..#.#....#..#..##.#.##...#.#.##...#.#.#..##...#..#.#.#######.#.#.#..#.#........####..#.#.##.#..#.#.###.####.#.##..#.#.##...##.###...#..##..##..##.#...##.#.#.########.#......#.##...##..##..###...##..##...##.##.###.#....#..#.#.#..#...#.#.##########...###.#.#..#.#.#.#.#.#.#.#.##...#.#..#.##.##.##..#...###...##...##....###..##....##.#.##....#.##..#.#.#.#.#..###.###.#..##...#.##.#.##..##..#.##.#.#..#...#.###..###.#.###...####.#..#..#.#.######.#.#...##.#....####..###.........##...##..#...##..##.#...########........###.#.....#.#.###.#.##.#...#.#..#.......#.#.#####..##...#...###..#.#.#.#...#.####..##..#..##.#.###..###..#.#..#......#.#.#..#####.###.#...######.#..##....#..#.#.....#..##....#..#.##.##..#..##.#.##.#..#..###.....##..#...#...#..#.#.
##....###....##..#...####.####..##.....#.##.##..#..###..#.#...#..##.####.##########.###.##.#..####.#..#.#......#...###.#...#.##..###.####.#.####....###.......#.#.####..###.#.#..##.#...##..####.##.##.###..#...#.#.###..#.##.##..##.####.#..###.#####.##.#.##.#..###.###..###.###..##....#...##.#.####.#..#...######.#####.#...#.#....######..##....#.#....##.#....##.#..#...####..##.##...#.#.#..##.#..####.#.#.##.#.#.####...#.#..#....##....####..#.###.###.###..##...#.#......#..#..###..#...#####..#...#.#.#...#..######.####......#....#..###..#..#.#.#....#.#...####....##.....#.##.#..#..#.#.#.####.#####.#.#..##..#..#..#.###..#####..#....#.##....##.#.#.#.#..#.....##..###.##..........#..####.#.##....#.##.#...##.##..#.##..#.#..#..#..#.#.##.####.#.####....###.#.#..#....#...#.#.#.....#######.###...#.#.###.#.#.########....##.#....#..######.###..#.##...#.###.##.....#.####.###...#.#.#.#.##..#.####..###........#..#.##...#.######.#..##..######..##...#.....####.####.######.##....#.#....#.#.##.#...##...####.##...#.##.##....#....#####.#.#.##..#.....##...#.###.#.#...##.#.##....#.##..##..####..#..#....##..####..#......##..##.###.####..##.#....##.#.##..#.#....#.#.###.##.###...#.####..####.....#.###...###.#.....##...##...#.#..##...######.#...#.##.....######.....##...##.##.##..#####.#...#.##..###....#.#..#..#...#.....###.##.#.##.........#....#.###.#.#.#..####...####..##.#...#.##.###.##..####.###...#..####..##..#...#.##..#.#..#.##.###..###..#..#.#......#..##.#...###.###..###.##......##..#....#.##....#.#..###...###.###....#...####.#.#.....##.###.##.##.###.##.#.##.#.....#.#######.....###...###.####....#..#........#..#..#..#..#.#.###..#..#..##....#......###.##.###.#..###....#######.#.#..#.....#.#..##...###..##..###.###.#....##..##......##......#..###..#..##.#....#..##.#...#.##.##..##.#.##...##..#...#.###..........##......#..#...#.###..####..###.###..####.#..#..##..#.#.##.#.#.......##..##.##...#.###.##.##....#...###...#...##..###.#...##.##.###....##.#.#.##.###.#..##...####.#.###.#.#.#.##..#.###.#...#.#..
#.##.#......#.##...#..##....##.####..##..#.#.##..###.....#..#.#..##....#.#..#.##.##..#...##.#.#...##....##.#.####.#.#.##..#......#.....#.#####.##.#.#....#...#.#........#.###.#.#...#..#####...#.#.#...#..###...#.#...#..#.###..#.##..#..#####.#.##....#..###..##..####...##.##...#..#######..#.###..#.##.###..#.#...#######...##.###.###.#.#...#.#.#....###.#.##.#.##.####..###.#.##.###.#.##.####.#....#.######..###...#..##.###.#..#######.#.#...#.######.#..#...#....#.##....#.#######..#.#.#...#####...##.#..##.#..#######.###.....#.#.########.#..#.#....#..#..##..#####.#.##.#...#.#.#..#..###.###...##...#.######.#..#..##.#.##....###..#.###...##.###.##..#.#.###....#..##.#.######.#.#.#.##..#...######.#....##....#.##..#.........#...#..#.#....#..#####.####.##..#..#.##...###...##.##...#...##.###.#.##.#.##..#.#.###.#..####....#...###...#..#..#.##.####.#.##...#..##..#.###.#..###.##....#.##.##..##.#...##.##...##..#..#.#.##.##...##......#..#.##.##..#.#..##.##...##..###..#...##.#.##.#.###..##..#...#....#...#...###.##...##.#####...#.#.#.#.##...##.##.#.###.###.#..#.#.#.####..##.##.....#..#.#.#######.##..###.#..###.###.##.#..#..#...####.####.#.##.#.#.#.####..##.###.....#.#...####.##..#..###.#...#.####..#.#..##.#...#.#.......#...#.#.#...#.##....#.#.#..#.###.....####.#.#.#....##...##.......###..####..#.#...#.#.###......##.#....##.#.##.#.##.##.##...#..#.#..###..#####......#.#.##..##...#..###.#..####.####.#..##.#####..##.#...##...#...#.##..#...#.##..#..####...#####.#..#..##.#......####..##.#..#..#.#..#..##....###..####....#.#..##.#.##.#.#....#....###...#....###.##.##.#.###...#.##.#.##.#..###....###.####.####...#.....#..#..#..####.#.#...##..####.#......##.#.###.#.#...##.#.#......#.#.#...##..##.#..#..#.#...#......####....##.#.#.###.#..#####.#....#..##.###.#...##.###..##..##.##.#..#.##.....#.#.##..#.#...#.#...#..#.#.....#...#..#...#..#.#...##.#.###.###...##..#.###.####.##.....#...###..#.######...#.....##..#.###.#.###.##.#.......########.#......#..##.##.#.##.##....###..##......#.#.####....#.#.##....##.##
##.####..##.#.##....##.##.##...#####.##..#..###..#....########.#..##..#.#...###.###..##########....##..#####..#.####.#.###.##..##.###.#..#..###...#.###.#.######...##...##.#....###..####..#..###...#...#......#.#....##.#.###.#####..##..######....##.###...###...###...##..#..##..#.#..#..#..####.#.#.##..#.##......###.######.##......####...#.#.#.....#.....#.###...####....####.....####...#...#.##..#...###..####...##..#.#.##....#.#.##.#.###.##..##.###..#.##.#.#..####...#..##.#..##.#####.##.####...##..#.#.##..##..##.#.#.##.#..####....#.##..##.#..#..##.#...###.#...###.###.#..#.###.##..#####..#.#########..#....#.......#.#..##..####..##..#..#..#.#....###.....#.##.#...##.###.##...#.#..#..##....#.##.#.#.#######.#..####.###.###.###..#...####.#....#..#.##.#.#.....###..#########..#.##.####.##.###..#####.##.#.#..##...#...#..###..##........#.#.#....#.#####.#.###.#..#...#####.#.#.#.##..###....##..####.####...##.#....###...#.############.##..#.###.#####..#..###.##.#..##....##..##.....#...#.###..###.#####.#.#.##..#.##.#.#####..###.#.#.#.####.#..#..#....#...##..###.##.##.##.#..##.####.....##....#.#..#..#.###..##.#.##.#.......#..###.######.##..#.###.###..#.###.##.###.###..##.###.#....#.####.#.#.###.#..###..##...####...####..###.##.....#.#....##.##.#..#..#...#.#.#.####..###.###.#..#..##..#..##..##..#.#...#..#####..###..##.####..##.#.#.#...#...##.####.....#.#.#.###.###......##....#..#.#..##.##..#...#.#.#.###.#..######.##....#...###..##..##.#.#...#.#.#.#.##..##..######.##.#.#.#.###....####...........###...........#.##.###..#.####.##.###..#....#.#.####.####.##.#...###.#..#..##.##.#..###..##..#..##....##..###.####...#######..##.####.....##..###....##..#######..##.##....#..##.#.##..#.###.#...##.####.###....#..#.#.#.......####.###.###...#.###.####.##.##.###....#.#.##...#.#..#.###.#..##....#.##..##..#....#......#...#.##.####..##....#.#.#..######....##.#.###.##.##.#..#...#...#...###.##.#..#.#.###.##.#.###.#.###.#.#.#...####.##...##.#.##.####..#....##.#.####.#.#.#####.##.#.##.###.###.####.#.#..##.#.
##.#.###...#.#.....#.#.#....#.#.#..##.#.###.#..#...##......###.#..#.....#.....#.########.#....###..##..#....###..#..###..#.#...##..###..##.#.####..#.#...#.#.#.###.##....#.#....#..###...##...#...#.#..#..#.#....##.#..##.#..#.#######.#.##.#....#...##.#....###.#.#..#..###.##.##..########.#.##.##..##...#......#.#.####.##.##...##.#....##.#..#.#.....#...##.....##.####.##..##.#.##....#.##...#.##..#.....##.#...#...#....#.#..#..##.#..#..#..#..##.....#..#.#..#.........##..#.###..##..#....####.#....#####......##.##..#..####.####...#..#...##.#.##..####.#.###.#......#.......#####.#...##..##...##....#####.##.#.####.#.....#.#...#.#.#####.##.#..#..#..#....###..#.......#.##.....###.....#####.......##...#####.#.######..##....#...##..#..##.#....#..##..##.##...#.##.#####.########....#...##.....##..##....##.#.....###.##..#..#####.#...#.###...##.#...#.#....#..#.#...#...###.##..##..#...#..#..#..####.######.#.##....#..##..#.#.#.#....#..#....#.###...##.#.##.#...####.....#.##.#..#..#.##.#.#..##.##.###..##.#.....##.##.#..#..#...#.####...#..#.#....##....#..##.#..##.##.#..####..##...###.##..###...##.#..##......#..##..#######.#..#.###...###.#.##.###.##...#...##.#.####..########..#....###..##.#.....##..#.##.#.##...#.##.#..#..#.##.......###.###.#....#.....#.#.##.##..###.##.#..###.#...##.####.###.##...#...#.#..#..##..#.#.#.##.##....#.###..#..#....##....##########.######..#.#...#.#..#.......#..#.###.###..#..#..#..#.########......##...#...###.##.#.#.#...##.###..##..##.#..##.#.###.##.#.#.#.#.#..###.##.#..##.##....#..#.#..###..#....#..####..#..#.#.#...####.####....###...#.#...##.####.#####.##.#.#..########....###..#.#.#..##.###..##..##.##.#.......#.......##..#..###.####.#..###.#..###...#.####....#...##..#.#..##..#.#.#..###.#...####...#...##..##..#.#########..###.....#..#...#.#.#..##########...#............#.##...#.#.##.##.#..#.#..#.#####.#.#.####.#.##...#..#....#.###..##..###.#...##.####.##.##.####..##...###..###########...#..##.##..##.#.####.###...###..#..#.#....#.###...####.#.#.#..#.####..#...###....#
.###.####...#.#..###.#######.###..##..#..........###....##..####.####.###...#.##.#.#...#..##.#.......#.##.#..#.....##.##........#..#.....#.##..##...#..#..##..#.##.######.#.#.#..##...#.#.#..#....####...#....#.##..##.##..##.#..#....##...####.#####.###.##.##...##.#..##.#..##.#............####...##.#.......#.###.####....#..#.##....#....#..#.#.#.#.#...#..#.......#........##.###..#..##....##.######..###.##..#..#....#.###.#.##...#####..#...####..###..#.#...##.#...#.##.####..#.####..##.##..####.##..##.#.###.#...###.###...#####..#....#.#.##..#..##.#.##.###..###...###.###..##.###.##......##.#...#..##.##.#.###..##..#..###.#.#.##...###.#.#.#..##.#...###.###..#.###.###.#.###.###..#.#......########...####.#####.###.###.##...#######.##...####..#..##..###.##.###.#..#..#..###........#....##...#.#..#.##.#.#.#..##.##.#.###.####.#..#..#.##.##.##.#....#........#.###.#.###..#..##.#.###.#.#..###.#.#.###....##........#.#.....###...###....#.##.....####..#.##.##.#..####...#.##.###..#.#...#.#.#...#.#..#..##.##.#.....###..#..##..#.####..###..#..##.#####..##.....#.#.#.##.###.####.......##.#.##...#########....##......#..###.########..###.#.#..#..##...##...##..#####.#####.####.###.######.#...##....#..#..##..#.###..#.####.####...##..#..##.##.#.#.#.#.#...###.......#.######.####....#..##.#..##...####.##.#..#.##.#....#.#..###.#..#####.##....#..#####..#....##..#..#.#...#..#..#.##...##...##.#.#.####...#..#.#######..#..#.#.##..#....#..###...#...#..##.#....#..#....##.#..#.###.##....###.####.#....#.....#.#.#..####.....####....#.#..#..###...#.####..#...#..#.######.#..##......#...#..#......#####...#.#####..#....#...##.#.##.#..#..#..#...##.##...###.#.##...#.######..#..#.....###.##..#.##....##...#.#.#......#.#.#........#..##...#.#.##..####.###...###..####..#.....#.##.#.#.#...#...#......########..#......##..####.###.#..###..#.##..##.#.###.#.#.##.#.#.#..##..##.##..###....###...####...##.##.......##.###.#.##.....#.##.#..#####...#..#..#.#......#..###...#...###..#.####...#.#.####.#..##.#....#..##.######..#.#.....#
.#.##.....#.#..#..#.###....##.....####.#....##.........#..#..#.#....##....###.#..#####....##...##..#.#.#.#.##.###...##.#...#...#.#..##..##..#..####..####.###...#....#....#.#.#.##.#.#.##.#..#..####.#.#.#.....###.##.....#..#..##..####.##.#......#####....#.#.####.###.#..####....####...#.#.###..#...#.#.######.#..#.#.#....#.#..#..#.###..####....####.#.#.###.#.##.#.##.#..#.##..##........##.###...#.#.#...#.#..######.#.##.#.#.#.#.###.####.##..#.#....#...###.#..###..###.#......#.##.###.#####...##...##.#....##.#..##.#..#.#.##..####.##.#..##.####...###...#.#....#.....####..##...#.#####.#....###.....##..##.##.#.#.##...###...#..#.####.#..###..#.....###..#.#..###..###..##.##.###.##.#.##..##.#.####..###..#...###..#.#.##.##..#..#.##.###..##.#.#.#...#####....##...#.#..#.#..#.##.###....##.##.#........#.#..#.#..##.#.##..##.#.##.##.#####.....##.#..##..###.....#....#..#.#####..##...#...##.##.###..#..####...#####.#####.......#.###.#.#....#..#...##..###..##..#...####..#...#.#.#########.##...#.###.###.##....##......#..#.####...#.#..#...###..#..#..#..###.#####.#####......##.##...#...#.#......###.##.....#####.#.#..##.###.##....#.####..#.....##..##...###..##.#..####...######..##...#..#.#..#...####..########.#..#...##..#..#..#.#.#..#.#####.##.....##.##....###.#.####.#######.#.##.#.##########..#.##..#..##..###.##.##...#..####.#...##.##..##.##....#..##.##.#####.####...#.####..####......######.....#..###.....###..#.#..##.#######.#......#..#...##.....#.##.###....##.####..#...#.#.##..#..#.#.####..##.##..###.#########.....#...###.######.#.###..#..####....#.#.#.....#..###.#.#..###..###..####..####.########..####.###..#######.#....#.##...#.#.#..#..#........##..#######.##.#.#.#.##...##.#.#.##..#.###...#..#..###.#.#.....##.#.##.#.#.#.#.####.##.#.#######..#.#....##...##.##......#...#.##....###..####..##.##.#.#..#..####.##..###.#..######...#.#...##.#..######.###..#.#.####.#..##..#.#...#...#..#..##.##.#.####.#.#.#...#....#...###...#.###....##.####...#####.###..#..##.##..###...#.##.#######...#.##.#..#..##..
#.#######.###...##.#.#..#####..##.....#..###..##.#.###.#.#.#.###..#.#####.#......#.###.####....#...###.#.#####.#..#.#.######.#..######..#....##..#.#.#.##....###.###########......#..##.####.#...##......##......#.#..###.##..#.##....#...#######...#..#.....##.###..######...#.##..#..##.##..##...##...##.###.#..#.#.....#...#..#..#..#..#.#..#########..#.##..#.##....##..###.##...##....#####.........#.#...###..#######..##.####....###.#..##.#..#.###...#..###...##.#.##..###.###....#..######.##...####.#.##.#.....#.#..###...#.##.##.##..####.....#...##.######..#.#.####..####....###.##.#...##.####...##.##.##.#....#.#...##.##....#....##.....#.##..####.#.#..#####.##.##.#..##.###...#.###.#..#.#..##.##.##.###.#...####..####.#..##...#.##..#..#.####..#.##.##.#..####....##....#..#..##.#.##.###.......###..#...#####..#...#..##....#.##..####..####..##.##.##.#..##.#.#...#...##....#..##.##.#.#.###..##.#.....###..#.#..#.###.####.########.#.#..###..######.#.#..###.###...##.#..#.###.##..##.#...##...###.##.##..#...###.#.#....#..#.#....##..#.#..#..####...#.#.#.##....##...#..#.##..#..#.#.##.#.#.#...####.#..##....##.##....##......#####......#..#..#.#...#...#..#.#######..#...###.###.##.##.###.##.#...##.#..#.#.###.##.#..#.#.##.##....#.#.....#.#..##..#.#.#...###.#...#....##..##...###..#.###.#.###.####.......##..##.##....#.#.##..###.#.#..##.#..##.##.##.##.##.........##...###.....##....#..#.###.#.##.##.#.####.#.##.###.#####.#.#.#.#.##.......######..#...#.#.#....#.#.##..#..#.###.#.###..###..##########..######.#...#..##...###..#######..#....#..######.####...##.#..####..##..##.##...#....##...###..#.#..##......###.#.#.##...####.....#.####.#..#.####.##.##...###.#.#....####......#.#.#...##.#.#....#.#.#..###....##..#..#....##...#..#..##.#.##..#..##.##.....#.....###.#.#.#..#.####.#.#.###..####.##.#........##.##.......###...###...#.#....#####..#.#.#..#.###.#.#.#....#..#....###......#.#..#...#.....#.#....#......#.#.###..#...#...#.###.##..##....#....#.#..####.#####.#...###.#####.#####..#..###...###.###..#.#...##.##.
##.#....#.#......#....#.#.##.....#...#..##.#...#.##.#.......#.#####.#.#.####..###....##...#...#.##.#.#...#.##..##.##.###..##.#..#.###.#..##.#.##.#...###.#.#..#.###...######..#.##.#.#.#.#..#.#..##..###.#.###....#....#...#..###.##...#.##...#..#..#..#.####..#####.####.#####.###..#######...#..#.#.#.#.#.###.#.....#..#######...##.#.##.#.##.#...##.#.#..###...#..##..#.#.##....#.##.#.######.##....#.#...#......##....#....###..#.....###.##.##..#...##..#.#....##.#.#........#.#...###...#.#..#.###.##..#..###.#....###.#..#.#.#.#####..##....#.#.#...#..#.#.#..##..#######.#.#.#.###.##.####....##..##..#####..#.#.#.....#.#.#.#.#.##...#.###..#...###...#.#.##..#.##.##..#.#.#..#...#.###..#.#..######..###...#.##..#.#.##.##.#.##.....########.####..#...#...##.##.###.#.###.#.###.#.###.##.#..#..#.#....##..##..##.###...#...#.#...##.###.##..#.##.#..#...#..#.###.#.#.##.....###.#.###.#..##.###########...###.#..##.........##.##...######.#...####..###..##.####.####...#..#...##.#.#.#..##..#.#..###.#.#.###.###.#..###.#.#...#..##..#..###.#.#####.##.#....#.#..#.######...###.#.#..########..##...#####.##...####....#######...#..##..#.####..#..#...##.#.##..#.#####...#.#..##......#....#..#.#..##.##.####.##..#..##....#...#..#####.#...##..###..###...##..#.####.#######.####..#.#.###..##....##...#.#.##.#..#.#.#.##.#######...#..#.#.##.##..#..#####...#.##.####..###..###.#.#.#...####...#....#......#.#.#..##.#.#.#########.####.####.####.####.###..#.##.....###.###...#...##..#...#..#...#.......###...###.#..###.###.###....#.#######.#.#...####.#.###...##.#...##....##..#.#.#...#..#....#...#....###.##..#...#.#...#..###.##.####..##..##..#..#.#####...#.#.####..#.##..#.###.##....###...###..#....#.....##.####...#.######.###.###....#.#.#..##...#..#.##.##.###.....###...#.....#.#.##......#...#.##.#...##..##......####..#####.#..#.#.......##.#####.####.#.#.##..#.##.#...##.....#.#..#..#.......#....##...#..#.#.#####.#......#####.#..##..###.#.##.#...###....##.##...######...#.#....#.####.#######..#..#########.....##..#..##.#...##.#...
#.#..#.#...########..#.#.#.###..#...##.#...#..##.....#.###.#.#.......#...##.#..#.#.###.###..##..#...##.....##.#...##..#...##....####.....#.#.##.#.###.##.##.#.....###...###.#..#..##.#..#...#..#.###.#..#####..#...#.#.#........#.###.#..#..#.##....#.#.#.###..###.##.###.#..##.#.###....#.#.#..####..#..#...#...#..##.##.#..###.###.#..#......#......#.#.####.#.##.###..##......##..#.##......#####....###..##.##....##.###.###.####..#..........######.##.##.##..#...#.##...#.#...#..#..####.####......#....##..##..#.#######...#.##.#....##.#..#.#####.##..##.####.#.##.##........#..###.#..#..##..#...#.#..##.#.###.##....###.###.#..####..#.###.##....####.###...##....#.#.###...##...#.##.#.###...#....###.###...#.####....#.#.#..###..#.#..###.####....##...#.####.....###########.##..##..######....#.#...#..##.#...#....#...#..###.###..##.##..#.##.####...#.#.#..#.##....#.###..#...##.#.#.###....##..#....###.#.#....##....##..##..##.###.##.#.......#.#..##.#.#########..#.#.#####.#..####.##.######.#.#####.#.####..#.#...##..##..#.##..########.###.##.#...#.##.......#...##.##.#.###.....##.#...#####..#.##...#.....#....##.##.#####.####.#.#.#..##...#...#..##..#####.....#.###.##..#..#....#..#.....####.###..##..#.#.##.######.#.######...###..###.....#....##..##..##.....#..###.#....#..##.##..#####..#..####..#.#.#.###.#.####.###.#.#..######.#.##....#.####.#.#.#..####.######....##.###.....#.#..######.#.#.##.###......###.##.#...###.##........#.##....#########...#.....#.##...##.##...##....##..#.##..###.....##.##.#..#...#.##...#.#..#..#..###.##..###.#.##..#....#####.#.#.###..####.#..#..#.#.######..#...#..#...##.#.##..##..#.###..###.#..#.#....###..##.#..#...###.##....#...#.##.#..#..#####.#...####..##.#....##.#####..##.#....##.####..#..##.##.##.#.######..##...##.##..####.#.#..###...###....##.###....#.#..###.##.##....##.#.....#...##..####..##.###.####..#####.##.##.####.#.###...#.#........###.....#..####..#####.##.........##.#####....##.###.....#..#....##.#.###.##.#.##..#...#...#...#.#....#..##.########.#..#.#.##.######
#.#...###.#....####..#.###.#.###......#.######..#.#.#.########.##.....####.###.#....####.......#.#####.#######..##.#.###....#..##.##..##..##..####.####.##..#.#.#...#.########...#####.#.#.###.##...#...#.#.####..#.###.#....#.##....##.##..##....#..#.###.#..###...###...#...##.###.####..#.####...##.###..##..#...#..#####.####.#..###.#.#......#...#.#.#####.#..#...#.##.####..#.#...#..#....#....###....##..#.#####........####.#.##..#..##..##.###.#..#.##.#######..#.#..####.###.##....##..#.#.##..###.#.##.#..#.#.###..#...##....#####.#..#.####....#.###...#.##.#..##..#.#.##.####.#.#.##.#.#.#......##.#..##..###.#.##.#..##.##.##.#..#...###...........#..#.###.##...##..#..#.#.###.#.#.#.####..#.##.#..##..#.#.#....#..######....#...##....#.#######.....#.###.....##.##..#....###..###....###.##..#..#..##.#.#.#....#..###...###.##..###.###....##..#.#.#####..#####.#..##.#.#...####.#.##.#..#.#.##.#..#..#..##.#.##..####.#...#......######.###.##.#...#..###..####.....#..#..##...#.########..#...#.##..###.##...###.#..#.###.##.###.##.####.###.#.#....##..##.....##..#..##.##.#.###...#####.###.####..##.##...#.###..##...##..###.#.#.#####..#..##..#.##.#.#####.###..#..#..#.####...#######.#...#.##...#..#######.###....##.#...####...#....#...##.#....#..#..###.##......#.#.##...##.....##.##...###.####.####.#.#..######.#.#...#...#####.########.##.##.##........##.##.##....#....######..#...#.#.#..##..###......#...#..#....##.###.#.##.#.##.#...#.##.#####.#.#..#.###.##....##..####...##..###..#.###..#.##..#.##.##..##.##...#.#..#.##.###.#.##.##....#......#.##..#..###.#.##...##......###.####.....#.#.#.#.#....####.#.#####....#.#.#.....#.###...#.#.#.########.........#.#...####.#..#.##.###...##.##..#.#.....######.#.#.####.#####..##..##.#....#..#.###.#..##..####..#.#.#....###..#..###.####..#.#######...#....#.#..#.#..#..#####.#........#.##.#.#..#.#..#...#...##..##.#.##.##.###.#..##.###.##.....#.###.##############..#..#.##....#..#.....##.......#..#.##.#..#####......##..#..#####....#..#..#..#.#..##.####.##.###.#..#.#..#..###..
#####.##..##..#.#.#..##.....#..###..#.....##...#.....#.##....#.#.#.###..#.##.#.###....#.#..........#.#.####.##.####.#..##.#.#####..#..####..#...#..##..#.#....#..######..##.#..#.#......#.#...#.#..#...#.##......#...#...#...##.#.#.#..#..#..#.##.#.######.###..##..##..###..#.####..####.##.##.#.#...#..##.##..#.#.#.#...##.###.###.#######.#..#..###..#.#...##.###.##.#####..#.##..##..######.####.###.##.#.##.#####...#.....#...###.##..#.#..##.##.##.##..#####.##...#.##......#.#.##.##..#.#.####..#..#.#..###..###......#..##.##.....#..#.###..###.#.#..#.##..#..###...#####...#####.#.#.#.#.....#####...#.###.#...##.####..#.####..#.##.##.#.#####..###..#........#...#..###.####....#..#.##....##..####..####.#.##.#..#..#.#.....#..#..#..###.###.###.#.#..############.....###..#.####.###..#.#.#.##.#...##...##..##......##.#.#........###..#####.###.#....#.#.#.#......#.###.##......#........#.#..#.###...#.##.#.##.#.######.....#.##.#.#.####...##.....#.###.#...#..#........#..#.#.....#..##..##.#....#.##.##..##.#.###.#.#.#.###.###.###.#...###.##....####.###.###.##...#.#.....#######.#.#...#.#...#...##########.#...##...##.###.#..#####.....#####...#...#.#.#.##.....#.#.#..##.###.#..#.#.####.####.#.#..##..####...........#.#.#######..#......#..##.#..#.####..#####...######....#.#........#.##.#.##.#..##..##..#.#..##..##.....#...#..##.####.#.#########.#........#######..#.######...##....##.####..#..#.###..#.......#######...#...##...#.#....####....#.#.#....############.#.##....#...##.##.#.....###..#########..#...##..#.####..#.###...#...#.#.#..##..##.##.###.##.......#.##....###.##...#...#...##...#####..#.....#.#.##.#..#...#.#.##.##.#....##.#.#.#.#.##.###....#..##...#.#.#.#.##.#.##..#####..#.#.###.#####..##....#.##.#.#####..##...#..##.#.###...######.###.#.#..###...###.#.#..#.#....##..###.##.#.##.###..###...##.....######...###..#..#########.#..#.##.#...#....#.####..#...#.#..#.#....#.....#.##..#..###.##.#..........#.#####..###.#####.#.#.##.###.#....##.#...#..#....##.#####.##..####.#.###...#.#.#..#.#.##.#.#.##..####.
....####......#..####.##..#...##############.####..#.#...##...#..##......#.######..###.#.#..###.#...##..##.##..###.#.#...##....#.#..###.####.#..#.#.##...##...#..##.#....#.#.###.######..#..##..##.###.##....##..###.##.#....###.######...###.#...#..#.#..#..##.#.##.#..##.#####.##......##....#.###...#.##.#.##..#..##...######......#...#.#..###...#.##...###.#.##...###.####.####..##.##########...##..##..#####..###.####.###.#####.####.##..#.###########....###.##.#..#...###.#....#....####.#...###.#.###...##.#....#.##....#####..#..###.#.#..#..##..####.###..#..##.#.##..#.#.##....#...#######.###...#...#...######...##.####.#...#.#.#...#..#.#..#.#.#...##.##..#.######.#.#...#.#.##....#...##.#..........##...#....#..#...#........###..##..#..##.#.##..#...#...#.......##..#...###.###..#..#.#.#.#.####....##..##.#..#.##...#..#..#..####..#.####.##..#.#...##.....#.##....#..##..#..##...#.#..####..###.....#...#.#...##.#####...#####..####..#.###.#..###.#.#####.#....###..#..#########..####.##...##.#.#.#.##.#..####.....#....#.######.###.###.####..#.##......#..##..#.#.#.####.###.###..#.#.##........#..######.###...#.#...##.#####..#....#..##.####...#....##.#.##..####..#.#.#.##.#.#...##..#..###.#.####.....####.#...##..###..#..####.##..######..#..##...###.###.#.#..#..##.###.#####.#.####.....#.#...##..##.#...###...#.##.....#.####.....#.####....#..######.##...#...######..#.##..########.#.#.#.#...#..##.......#...######.##...###.#####..##.##....##.....#.###.##.#.##.######.###...#..#..#..#....#...#...#.##.##.#..#.##..##.#..#.#...##.#.#..#...#.#.####.####..####...###.#....#####.#.#######.#.#####..#.#..####...#.##.####......#..##.#.#......#..##.##.###....##...#..##.###.#.####......#.####..#.##.###...##...####...#.#.....####...###.######.#..###..###.#..#...#.##.#.##..#.#..####...#..####..#.##.....##.#.##.##..##.#.#.####....#......##..#.#######.##...#.#..#.###..##.####..#..####.##.####.##.#..#.#.###.####...#####..##.#.##..##.######.##..###.#.#.##.#.#..##.###.#.#.#..##..#...###.##...#....##.....#..##.#########.
.#...####...#..#...#.#..#....#.##.#.#...########.######.##..##.##..#..#.#.#.#..###.##......#.#......#....#..#.#.##.#.####.##.#.#.#.#..###.##.##.#..##...#.##.#.##.######...#..#.#..##..#.#..##.......#.####..#...##.#.#.###.#.#..#..##...#....#####..#.#.###.#.#....###..#.######.#.#.##.#.###.#....#..###...##...#.##.#####......#..########..#.#...####.####.##....###...#.......##.######.#######.###......###..##....##.#.###.#..##.#..#..###......###.#....###..#..#.###.#.##.##..#.#.#.##.##.#......#..#..##...#####.#.#.####..###.####..##.....###.##..#...##...#...#####...#....##..##..##...#....##...##..###.#........#..#.###.#...##..##.##..###....##......####........#...#...#..#..##....#####.#...##.##...#.#.#.#..####..#.##...##..#....##.##...#####.#.#.#.#.##..####.####.#..##.####..#.#...##.#.####.##.#...#.......##...####....##.##...###.#..#..####.#####..#.#####..#....#.###....#.....#.....##..#..###..#..#.#...###.###....##.#.#..######.......#..###......##.#.#.###..##.....#.#.##.#.##..###..#...#.#.#..##..##.#.....##.....#......#.#...#.###..######.#.#..###.##.##..#.##.#.##......#.#..##.#..###.....###..##..#..###...##.#.....##.###.#.#.#.##.#.##.#..#..#.....###.#..#......#.###..#.###..#####.#...###.###.....#######..##.####..#.##.#....##.###.#.##.#....#.###...#.####.##.####.....#...#..#.###...##.####.#.#...#....#......######.###.######.#..#.#####.#####..###...####..##.########.#.#..######..#....#...#.#.###.#.###.######.##.#####.#######..#.#.##.#...#####.#.#.......##...####.######....##.....######...#####....#######...####..#....#.#...#..#.#.#..#.#.##.###.....#.....#.##.#...#.......###.#..#.###..#####..#..#....##.#..###.#...##...######.#...##.#..#.##.###.#..#...#####.##....#...###...#.##..#.###.####.#.#.##.#.#...#####.####.##...###...####...#.######.#####..........###.###....#..#.#...#..#..#.###..######.#####..#.#.##.#....#.##...#.####....#####..####.#.######..##.####..#.#.#..#.####......#...##.##...#...##...#.##...#..#.##...#.#..#...#####.#.###......#####..###.....##....##..###.#.#.###..
##..#..#..#.....##......####..###.#.#.....##.#..##..##.###..#..#.###.##.##########.####.#.####.#.#......####.###.#..##########.....#.###.####..#.##....#..#.#...#..###.###.#######.#.......##..#.##.##.#.##....##.#..#.#.###.#.#.##...#####..##.#####.#.#..#..##.#.##..###.##.#.##.###..#.####.#.####..#.#.#.#.##.#.##..##..##.##.#.#....###....#...#..#.##......##...#.#.#.#.###.#..#######.##...#.#..###...##...#####..###.#.#.###..#..####.###.....#.#.##.####....#..##.#.####.#..#####.#....#...##..###.#..####.####.###.###...#.#..###.#.#..##....##.###.#.#####.#...#.###.###..#######.#.#...#.##.#####.##..##....#####.###.##..##.##..#.#.#.######....###.#.###.#.#####.####.##.#..##.##.##.##.#.#...#...#.#..##.#.######.###..#.###.#.##...##.###..##.##.##.#.....#...#.##.###...##.#.#....#####....#..##.##...####.#....#..##..#..##..######..#...###..##..#.##.####...#.#...#.#####..##.#.#.........#.###...#........##...###.##.##....#...##.#....##.........#..#...#...###..#..###..#.#..#..#..#.#.......#...###......##.####.#.#.#......##...#.#..#.###..#.#####..#....#####.#.#...##......###..###.#.#.###..###.#..###.##.#.##.##.###..###...#.##.#####...#..#####.##...#..###....#.#.#...######..#..#....#####.#..#...##.#..##.#....###.......##..##....######.###..##.#.###.##..#.###.#...###..#.#..##..#..##.####...#.#####..#...####.#..#.##.##.##....##.##.#.##..#.#..#..####....##..#...#.###...######.#....###.#...##.##...####..#....#.##.#.###.###......#####...#..##.####..#.##.#...#.#...#.########....#.#..#.#.#...#..#..#.....#..##.##.###..##...##.#######.##.####.....####....######.#.###...#..#.#..#####.#...#.#.###.#.#..##..#.....#..#..#..#..##.#...#....#..#...##.#.#..######.##...###..#.##.....#..##..#.###.#.....##..##.##...##.#..#..#.#.#..#..##.##.##.#..##...###.#..####.#####.##..##.##...##.##..##.##..#####..#.#..##.#.#.#####..#..##..##.#.##.....#.##.#...#.##....##....#.#..#.....###..###...##.#..##.#..###..###.#.#..##..#####..##.##.####.#..#.##...###...#.##....########..#..###.####..#....#.###.#.##...##.....##..#..####
#.########.#.#....#####.###..###....###.##..##.##.........#.#.#.#.###.#.####.#.#..##..#....#.#.#..#..##.#...##..####.##..#..#####.##.#.#.####.#...######..##..#...###.#..#..#..##...##.####.#.##..#..#.#..##.###..#.#####.#..##...#.##...###...#######..#.##.##..####.##....##.###.##.#####....#...##.##...##..#...##.##..#.#.##.#....###..#...#.#####.#..#.#.#.#.#...##.###...##.##.#.##.#..##.####..##.##.#.##.####.#..##..###.#..#.##.#.###....###......###......#.###.#..#..#.#.#...#..#..##..#....#.....#.###.##..#..#######..#.###.##.#..#...##....##..#####...#.###.#.#.#...#..#.#.#.#########.###.#..#..#.#.##.####..#.#.#.#####.##.##........##...#.##.#....#..##.##..##...#.#######...##..###.....#####.#...####....#..####..#.......#.......##..#######.###..####..#..##.##..#...#..#..#.##.#.#....##..#..###.###.#..#.#.#.##.##.#...###.#####..#...#.##.#..###..#...###..##..##..#.##.#.#.##.##..##.#.#......##.#.#...#.#..###....##..##.#.####.......#.##.#.######..###.#...##.#...####.#.#....##...#.##.#.###...#...#.....#..#.#####...##.##.##....##..#.#.##..#..#.##..#.#.#..#.#####.....#..#.########.##..##..##.###.....#..#..#....#......###.#...#######.....#.###.##.#.##.#####..####.##.##..##..####....#.#..####.#....###.##.##..###..#..#########.........#..##..##...###.##.##.#.##.#....#.###...#..#.###..#.##.#....#....###..#..##....##...#.#####.##..#.#.##.#.#.##......##..#..#..##..###.####.##..###.##.#...##.##.###.###.#.#.###..#..#....##...###.#..#.###..##....#.##..#........#..##.##.#..##.#.#..#..#####.#.#..#.#.##..#####..#.####..###.#...###...##....#.###.#..#...###.###.##.##..#.#..#.##.#.##...#..##.#.###..#####..###....#..#.#.##..#.##.#.##...###.#.#..#.#...######....##..#.#.####.####..###.....####.###.##.....#.#..#.#.#..##.##...#...##.##........####.#####....#.#......##..##...#.##..#.#..###..##.##.#...###...#.#######..#..#####....#.....#......#.#....##.#....#.#.#..###.....#..#.##.##.#.#.###.#.##....#.....#.##...##.#..#...##...#.#.##....####..#.##.###.##....##.#.###..#.##......#.#...#.#####.###.####....#.##
###.#.##.#..##.##.##.##.#.....###...#..#........##.#.##.##....#....#.#.####...#....####....###...##..#..#...#.#.#....####.##.....##.#.####...######.####..#...#.##..#.#.##..#.#..#.#.###.##......#.##...###.#.#..###.#.....#...#.#.##.##.#..#.....#..####.####.....#.###.###...###..#..##.##.....####.#..##..#...##.#...#..##..#...#.##..#.#####...#####.#####...#....##..##.#..#.#.###..##..##.##..#...#......#.#..##....#..####.###.#.######..##...##.#.###.#......#..#.#...##.#...##.###.#..#..###.######.###.########.#.####.#.##.#.####....###.##.......#..#.#.#.####...###.##..#......#.#.##.###..###.#..##.####.###.##...####.#####...##.###.##.##.##.....#.....#..#####..#...#.##.#.##..###....###..#.#...#.#..#....#..##...#..#####.#..#.###.....###.####....###.....#.#########..#.####.####.####.##.#......###..##.##.#..#......#...######...##.###..##.##.#.##.#..##...###.#.###.#..#.....#..##...##..##.#..####.####.#...#..#..##.###..#####...##...##....###..####...##...##.#.####..##.###..#.#####.#.#..#...#...####...#.#.....##...#.#####.##.#..##...##...##....#..##..#..#.####.###...#..#.#.####......#..#.###.##.....#...#..#..####.##..###.#..#.....####.##.#..####.#..##.#....#.###...#...#.#.#.#..#..##...##.#..#.#..#..###...###.##.#...#..###..##.#.##.#..#..#.##.#.#..#..###.#..##.#.###.#.#..#######..#..#.###.#..#...###..####.#...#..#.####.#..##..#.##..####....#.##.#..###...#.######..#..#.##.#####.####..#..#......#.###..#####.#.....###...#....#.....#.#.#..#.####..###.#.###....##.#......#...##...##..###....##...#.####..#..##....##...#######.##.#.....#..#..#.#......####.....##.##...#............#.#...##...###.##..####.####.#.####.###...#.#.##.##.....##.####..#.#.#.#.#.....#.#....##.....#####..##.###....##...##..#.#.#..#.#####...#####.#.....#.##.##.#.##.#########......#..#......#.####....####.#.#.....#.##.######..#.##..##.##..###.##.....#########..##...#..##.##...###.#..##.########..#.###..##..###...###.#.######..##.....###...#######.##..#...##.###....#.#.#####..#.###..###.#####.#..#.#.##.##..##..###..###...
...####...#.##....#..#..#.#.....###..##.##.###...##..####.#..####.######..##...#.#.#..##...##.....##.#....##.#####.##...#...#...##.#.##..##..##.##.#.#.###.#...##.##..######..#.####.###....##....#.####.###...#####...###.##...#...##..##..######....#.###.#.##..#...#..#.#.#.#....#####.#..#####..#######....#.#...##.##.##..#...#.#.#.#.##.#.###.##...#.#.###..#####...#...#..##..###...#..#.#.##.#.##..##...#####..#..#.##......#..##...##....###..###....#.##...#.#.#....#.#.....#...#....##.#.##.#.....##..#..###..##.........###.###.#####...##.#.#.##.####..#.#####..#..##...#....##.####....#...######..###..#.#.#...#...###....#.#####..##.#.....#.....#.#.#...###.#.#.##..#####.#####...#.#.##....#......#..##..##.#.###..##..#.#.#.#..##.##.####...#..##.#.#.#..######..#.#.#......#..#...#.......###########.####.#.#.#..##.#..#.###...#.....#..#.#..#.##.##.##....#....#...#####.####..#.###...##..#..#.#.##...#..#.#.#......##..##.#...#..####.#..#####...##.######........#....####.###..###..####..#####....##.#.##.####..#.#####.#.#..#..#.#.##.####....#.##...#.##...###..#.....#######..####...##....####....#.#####.##..###.#.#.......#.#.###.#......#.#....##..#.####.#.#.#.##.##.#.#...#.#..#.###.#.#...#.##.#.#.#..###.##....#...#.#.#.###.##.#...#.#..#.#..##..##.###.#.....###.##..##..##.##.##.#.####......##.##.#.#.#.###.##.#...######...#..#....##.#..#..#..#.#..###.#.##.....###.###......#.#.#......##...##...#.###.#####.#..###...#.##...###.#.....#..##...###...#.####.####..#.#...#..#.###.##.....##..#####...####.##.#####.#..###....##.#.####...##.###...#.##.#......#...#...###.###....####....#####.##...##..#####.##..##.#.#.#.##..####.#.#..#..#..##.#.#...########.#.##.#..#.#..#.##...#..#.##......#..###.......#.#..#...######.#..##..#.#....#..#####.#....#.#.#.#.##..#.#...#.#.#.#.....##.##..#..#..##.#...##....#.....###...##.#.#....#.....###...#.##.###.#.#.#.##.##...#..##.##.##....#...###.#.....##.....#.#..###....#..#.##.###....##.#.....#.#...##......#...#.##..#.##.##.########.#.###...###.##..#.####.##.#.#.#....#.##
.###..#.#.###...##.###.#.#...##.#.#.##.##.##.###..##..#..##.#..###..##..######...##.##....#######.##...###.#.##...#..#..#.#.....##.####..#.##..#.#######.#..####.#...#....####..##.#.#.#.######.###...#.###...#.#.###.##...#.#.######..#..#..#.#..#######....#..#.#.#..#.###.#...#..##.......#.#..#.#......##...#.#.####..#..#.#.#.###.#####..##..#.##....###.#.###....#.##..########.####.##......##.##...####.#.####....#####.#.###..#.#...#####..##...###.###..#####..#..#.####..##.##.###.#.##.#.#.###.#...#.#.#.###.##..##..##.#..##.#.##..#..###...##.#.#..#.##.###..###...#.##...#...##.....#..##.###.#.###..#.#.#.#..#...#..#.#.#.#..##...##...#.#..##.#...#...####.###....##.###.####...##.##.....#...##.#.##.##......#.##.####..#.#...#.########.#.#....#....####..##.#..#..###...#.#.#...#.#.####.###..#.#....#...#.#...##..####.#.####.###..#..###....##.##..##..#.#....##....####.....##.#.###.#..#.##...#...#...####.###.###..#..#.###...#.#.....##.#.#####.##.###..#.#..##.....##.....#.#.#..#.##.##..#.###..###....##.#...#...#..#..#####..##.#.##....##.#.#..#.#....##..##.#.#..##....#.##..###.##.#..#.####....#####.#....##.#.##.#.####.#.#.#.####....#..####.#####..#.#..#.#..###.#.#..#..##..###.#.#.##..#.#...#...##..##.#......####.....#....####.#####.....####.##.####.###..#..#.....#.....#....######.###.#..###.#...###.#.#...#.#####.##..##....#.##.####.........##..#.#.###.########..###.#..#.##....#.#####..#.######...#.#...##...##...###..#.####.#.#....#..#.##.#..##.#.#.##.###..#.#..#.###.#..#.###.###.....#.#.#.#####......##.####......####..##....#....##.#..########.#...#..#.##..#.......#.###...#......###.###.##..##..#...###.#...###.##.....##..#...##...##.###.#..#.#.###..###..###...#####..#.##...#..##..#..#.#.#.####..#..##...##.####..#.#.##..######.###.#.##.###.#..####.##.###....#..#...######..#.#...###.#.####.#..##..#..#...#.#.#..#..#...#.#..###......#..#..##..##.#.###.####.#.##...###.#...#.###..###..####...##.##..##.##..#.#.#..##..#.##..#.###.#..#..#..###....###.#.....##..#......###..#.##.###.......##...##.
.####..#...##...#....#..####.###.#.###.#..#.#.#....##.#...#....##.##...##....##..#.#..######..#.##.#.#...##....#....#....####...##..#..#.#..##.#....#.#.###.####.##.###.#.##...#.##.##...#.#.##..#......###...##...#.#####..##.#..##.#.##..##.####.##.#####.....#..###..#.####....##.##.#..#.....#.......#.#..###.#....###.##.##.#...####.#.....#..#.#####..#...##.#.###.#.#...#..##..###.#....###.##..##.#.#.###.#.###.#.#..######..#.#####.....##...####.#####...###..#####.#....####...###..###..####..#.#####..####....#.#..#...#.##.#....#..#####.#.##.####.##..###..##..#.#...####.####.#.#..#..#....##..###.#...#.##.#.#.##.#.....###...#..####.#......#...####.#....##.#.#.##.###.##.#.###...#.#.#.#..##.#...###..#....#...#...##.#....###..#.#.#.#.#..####..#.##....##...#..#..####.##.######.##..#.#...###.#.#.#..#.##.###.#....#..##.##..#.....#.##...###.###..###......#####..####.#####.#.#.###.####.###..##..##...#.#....##.###..###.#.#..##.....##.#.#.#.....##.####..######.###...#..##..#...#.##...#.#.#...#.##..#......##.#.##..#...#..#.###..####.##..#..#...#.#.#.....#####.#..#..#.#.#.#####.####.####....###..#####..#.##.#..##.####.######.##..##########....#.#.#.##.#.#.........#.########.#.##..#..######..##..##.#......#.....##...#....#..###.#.....##..####.#...#.#.#..#....#.##.#.###...#...#.###..#...#.###....#####..#.###...#...#...##...#####.....#.##..#.#..#######.#####..#.#.####.#...#..#..#...##.##.#.##..###...#######.#####.#..#.##...##.##.#....#..##.#...###.#.##...#.###.#.....###...##...#...###..#..#.#####...##..#.#..###.#.#.#..#.#.###....#..#.#.#...##.#.##.#.....######..######..#...##..........#...##..#..#.####.#...#.#.###..#.#..##.######..#..#..##.#..#.##.#..........#.##.##...#......########.#.##.#..#.#.#..#..#.#..#...##.###...#....##.######.#.##....###.##.###....##....##....###..###.#.#.#.#...####..#..#...##.##.#.#.##.##..###..#.###.#..#.##.#.####..##..#....#....########.###......#..#.###..#..#.####....##.##..#.##.#..#......#.###..#..##.#.####..##.#...###.#...#.#.........#.#.####.....##.#.#.#....
###.#...###.#####..#...#..#.##.#..###.....#.#.#.....####...##.#..##..#..#####....##.####.###.#.#..##.#....###..#....#.##....#...#......####.#.#..##.##.#...#.#.##...#..#..#.#..#.##...#.##.#.#.#.....#.#..#.######..#...#.#.###..##.########.#.##...#...#.###..###.#.#...###.#.#####.#..#..###...#..#.##..#.##.#.#..###.###..##...#.#...####.....#.###.#..#...#.###.#..#.##...###..#..#...#########.#.####.###..##.#.#.##.....#...###.##.#..#..#..#.###.#.####...#.####..##.#.......###...##...###..##.########.#.#.#...#.#.#..#..##.###.##...#..##.#..##.#####.#.###.....#..#.#.#....##.######....#...#..###.##.####.###..##.#.##.#.###..###.#..###.....##.#.....###.##.##..#.###.#.##..#..#.##..#.###.#.###.##.###...##.##.#..#.....#..###.#...#.#.####.#.#....#.###..##....#####......###.#.......##..#.###.##.#.....#..##.###.####.....######...#.##...#####..###.##.#..######.##.###.##.##......#.###...##..#..#..##..##.......##..#.#...######...#.#..#.#.#.#.#.#...##.##..##.#.###.#.#.#..####.##..#.#.##....##.#.#.....#.##.....##.......##..#.##.#..##.#.#..#.#.#..###.####....##.##.###.#.#.#...#..#.##.###.#.####.#..#...#.#..##.###......#########..#.##....########..#..##.###...####..#...#..#.###...#....#.##.#...#...#..#..##.#.###.#.#.#...##..#####..#....##......#####....#####.#..##.#....###....#....#..#.####..#.#...#.##...#...#.##.#..######..#.##..#..#....#...#.#..#.#.#..#.#.#####.###.#.#.##..#..###..#.##.##...##..#.......####.#...###.##..##.#..#.#...#.#.###...##...###.#.###.##...#..#.......#.###.####...#..###..###.##.##......##..##...#..#..##....##.###.##..#.#..#.##.#..###.#.##.#...#..##..#.#...###.##....##.##...######.#####.#.####.#..##.##.#####..#.....##..#.#..####..#..#.#.##.#...##.##....##.##.#.#.#####....#....##..##.##.#...#...##.##..####..###...##.##.###..###....#....#........#...#....#.####..######.###.#.....#.#.####..#.##....#.##.#.##.##.......##.##.#..####..#.####.#..###.....###.#.#......#......#.##.###.###...#...#....######.#.##.#.#.##.#.##.#..#######..##..#...#.###.##...#.##......#....##..###.#..#..
###.#.######..#####..#....#...##.#.#...####..###....##.##..#.##.#...#.##.#.####.#.######.##...##.###.###.##...####....#.###...####..###.#.###...#.###.##.###.#.#.#..##.##.#.##.....##..##.##..##.....#......#.....#.#.....#.#.#.##.##.#..#...#####...#..#.###...#...##.###....##...#..#.##.#.####.#.#.#...#.##....##.#.####.###..#..###..#....#####..#.#.####.#.##.##.#...#....##.#.##.###...#...#.####.##.#.#.##.##...##..##...#.#.#.#.#.##.#....##.##.....#.#.#..##.######........#.#.####...#.#......#.##.....#.#.#...##.#.###..##...#.#.##..####..##...##.#..#.#.#.##.##.#..###.##..##..##.#.##.#...###.##...#..###.#..#.#.#.#.#..##.#.....##.##.###....#####...####.###.#.#..#.#.##.####....###.#.##..###..####.##...###...####...######..#.###.#####......#..##..##.###.##.##.##.##.#.......###..###.#.#######....##..#...#####..###.#..#..####..#.#.##..###.##....#####.......####..#.###.##..#..###.#.#.###...#.......#..#.#.###.#.###.###...#.#....###.##.###.#.#.###.##.#..######.#.######..#####...###..####..###..##...###...##..###.##.##.#..#...########....#########...#..##..#..#.##.#..##.#..##..#..######..##.#.###..##.#.#.#...##.#.#..#.##.####..#.###.#...#######.##.#.#..##.#.######.###.#.....#...#.#........##.####.##...#..###.###.#....####..#.##.##.###.#.##.....##..#.#..#....###...#...#.#.....#.....#..##...###.##....####.#.##...#..#...##.###..##.#...#..####..#..#...###.###..........##..#...##..####.#.#.#..#.#..#####.##..#...#...#..#########.#...#...#..#####.#.###...####.........#..#....#.##.#.#.#..##...##..###..###.#.#######...#.##...#######.#####.#.#...#.#.##.###...##..#.#..###.######..#######.....##..##.#...#.###..###..#.#.#.##.#.#..##.##.#..##.#.#.##.#.....#.#.#####.#.##.###..###...#####..#..######...#..#.#####......#..#......##.#..###....###..##...#....#.......###.####.#......####....##.#.#.#..###.#......##..#####...#.###.#####....##.##.#.......#.#...####...#...#.##..#.##....#.#####...#..#.#.##..#.###..#....#.#.##...#..#..##..###..##...#...####..##..####.#...###.#.....#...##.#.#...##.##.###..##.###.
.#.#.##.#.#..##.#.#..####.#.#.#...##.....######..##....#....###..#.##.###....#.###.##.####.......###..######..#...#.#..#..#.##.....##..####.....##.#..#..##.#.##...##....##.#.#..##..##...###.#..###.##....#...##...#..#####..#..#.##.#.##.#.#.##.##.#.####....###...###.#.#.####.#.###....#..#..######..#####..##...#.#..#.#.####...###..##...#.####.#..##.#...#.....#.#..###...###..#.#.#......#...#..###...#..#...########.##.##.##...##..##..#.#.##..###.#.....##..###.#..#..##..#.###..#..#.###..#..#.#.#.##.#.##.#..##.#####....#.##.....##..#####...#.....#.###..###.##.####..###.########.#.....###..##.##..#.##.#..#.....#.##....#.##..#...####.#...####.#.....##.......#.##..#.#####.#..#.#.#.#.#.#......#.#.......##.##.##.#..####......##....##...#.#.#.#...##...###.#.......#.#.#...###..##....#.##..#.##....#.##...##.#......#.#...#..#..#.#....##.#.....#.##...##.#...#...#.#.###........#.#.#.#.##....####.##.#.#.#.#.##.####.##.###..#.#....##.#.#.#.##....##.##.##.#.......#..#..#....#######...#...##.##..#.#..#.#...#.#.##.###.....#.#####.#..#.....####.#..#..#.##.#.#..###.##.######..##.#.....######...#.###...##.#..#.#.#..#######.#.#.#....#.#..#.##.#..#...####..#...#....#.#.#..#...#..#.#...#...#.#...#......#.##.##......#.#..#.###.#...##.#######.##.#...#.####.###.###.#.##......##...##..#.#...#..#.......##..####..#.#####....##.#...##.####.###.####.#.#.#.#.#...#.#.#.##.#.#.####...####..##.#####.###...#.####...##....###...........#..#.#.##.#.#.####.##.#.#...#...##.####...##.#.#..#.########.#.##.##.####.##.#......##.##.###..####.##....#...#.#..####...##......####...#.##...#.#..##..#.....##.....##....#####.#..#.......#..#.##.####.#...#.##..#..##.#.#.##..##..#.#.##.####..#...#####.#.#####.####.########..#.#.###..#.##.#..##...#.#.#.#.....###.######.####..##...####.....##..##..##.####....#.###.##.#..#...#...#.##.#.##..##..#####.####.#.##..#.#..#..#.#..#..#.#..#...#...#.#.#######.#####...###..##.####..#.###...###..##.##.#..##.#..####.....#.####...#.##.###...#..#.##.##.#..##.#.#.##..##.....#.#...#.#.####.#...
.....###.####....#.#.#....##........#.######..##..####.#.#....###..#.#.###...#...##.##.##..#...###.######.#......##.##.###...#.####.#.#....###.#.......#####.#..#..##..##.#.#....#.##..#.....####..#.#.##.....###.......#....#.#..#.###.####..#.#....##.####..#.##.#...#..###.######....####.#..##..##...#..#..#.#....#.##....#...###...##.#.###..#..#.##.##..##.##.###.....###.###..#..#..##.###.#.##.###..#.##.#####.##.#...#..###.#..#...#..##..#.#.##.#.#..#...##.##.###.#..#..#..#...#.#.......#.###..####.##.##.......#.##...###..##.#.###.#.######..#.#..###.##..##.#####...########...#...#.##....#..####..#####...#.###.#..#.###..####.#....##.##.#.#..#....#####....####...##..#.######.##..#########.#.#.#.#..##...#.#...#...#...#.#.#..#..#.###.##.###..#.........##.#..#.###..#.......#......#..#.#..#.....#...#....#####.##...#.#.####.....##..##.##.##....##.##..#.#.#.##.###..######.#.#..##.....#####..########.#..#.#.###....##.#..##..#.#####.###..#####...###.###.#....###...##..#..#.##..##.#.#..#.#.#####.##..#.###.#...#.###...##.###..#.##.#....########.##..#.###.....#......##....#.##.#.......##.##.##..#..#..#.#..#...#.....#.#....##.#....#.#.#..#....##.#######....#.##..##.#.#...#.#.#....#...##....##..###.#..#..##.##.#.#...##.##.#..#.##..#.#######...#.#.#.#.###...##.#####...##.######.#..##.##..##..#.#.#.#..#.#######.#.#.....#..##...##.#######.#.#.#.###..##..######....###..#.######.....##..#.##...#.#.#.#..#.#.#...###....#..###...#...#..##..#....#.##.##.#..#.##.####....#...##.#.#.#.#...#.####.##..##...#.#.#.##.#...#..##.####...######.##....#.#...##..#...##.#.##..#.##.###.#....###...#.##.#....#..#...#.#...#.##..#####.#..#..##.###..#.#.#...##....##.#.#.##..#.####.##..####..###.##....#.###.####....###...#..####..#..#...####..###....####...###.####.##.#.##..##.......#.#...#####....#.#...#.#.##.####.#.###..###.....##..#...##.###.##.##..####..#......##..##.####....#.#.#.#....#...#...##...##.####...##..#...##...#######..###.#..#.....##.....#.##..####.#..##...#.###.#.##..#..#.#.##..##...#......#######.#.#
..##....#####....#..###..#..#...#.#.....####..#.##...#####...##.#.#..##.#..###.#....###...##.#..#.#.#..###..#...##....##...####.##...#....####.###.#.##...##..####....##...#.#.#..####..#.#...##.###.##.#.#...##....#.##.##..#.#..#.##.###...#...##.####.#.#..##.#..###.###.##..#....#####.#..#.#.#####..##...#.#..##.#...########.###.###..#..#...#####.##...#..#.##.#.##.##..#.###.#.#..##..#...####..##.#..#.#...#.#.....####..#...###..####....#...##.#.###..######.#.#..#.#.###.#.#.####....#..#..#####.####.##.####...#.##..#.##..#..#.#.#.#..###..#..######.#...##..###.#####.#.#.###....#.####..###...#.###...#....#..#.#..###.##..#..#.###.####.##...#.##.##...#.####.###.###.####..#..##....###.#..#..####.##.##.###.####...###.#..#.#...#.#.####.#.#...#......##..###..#.###.#.#.##.#.###.#.###.####.#.##...####.#.#.#.#.#.#..###...#.#...###..##...###..###..########.#....##.##.##.#..#.####.#####..#.##.###.##.#..##.###..##.##...#..#..##.###...#.##..###.#..##.###...#.....##.#..#..#####.#...#..##..##.#.#..####..#..##..................###.##..#..###.##.#..##.#######....#.##..###.###.##....####....##...#.##..#...###.##...#.##.###.#..###...#..##...#..##...#.###.#.#..#....###..........##..#####..#...##.##.#..#........#.#..#..##.#..#.##..#.#..##.##.#....#.#...#....#..#..#.#.####.#....####..#.#.##...###.#..##..##.###....#......###.#...###.###.#.##..##.##.#.##...#.#.#.#..#.#..#..####.#..###.###...##.#...#####.#..####..#..#.####.#...##.###..#.#####.....#.#......#..#.##..###...######.#.###.#...##........#.####.####..#..#.##.##...#.#...#..#..###...#####..##.###...###.#..######.##..#..#.....#.#..##.##..##.####.#..#..##..#...#.#.###.#.##..#....#...#.####.#....##.#..#....##..#.#...#.#......###.###.##..###..####...#.#.#.#.#..#..#..##..#...#..#.##.#.##..#.#..##.###...#..#####.....##..#..#...#..####.####.#..####.###.....##..####..###...##.#.####.###....#.#.....#.####..##.##..#.......##.#####...#..##.###.#..#.######.....##...##..#.##.#....#.#####.#.###...#.#...##.##.....##############..##.#####..###..###...#..#...
##.##.###.#.#.##..#.#.###.######.#..##..####...##.#....###...###....###..###.##...##..###.#...#.###.###.#..#.#.#.#####.#.#.#....##.##.####.##..###..###.###.##.##.#..###.##...##.###.##.#.#..#...#.##.##.###.###.#..##.#..##..#.##.#.#...###..#.#.##...####.##.#...#..##...###...#.##.........####...#.....###..##..#..#.##.##.#####.#....#..##.#.....#..##...##..#.#.....###....#.#####....#....#..##..#.#..#.#..#.#..##.###....#...#.##..#.....###.########.#.#.#.##.####..#.#.##.##......##.....####...#..#...#####.######.#...#..#.#.##.....#..#...###.#...##..#.##.#.#...######.#.####...#####...#.#.##....###..#..#.##..####...######.#.#..##..###.######.###.#..#.#.##..###.#....##...###......#..#.##.#.###.##..#.##....###.#...##..##.#...#.#....#....########.#.###.##.#####.#.##..#.####.####.##...#...#...#######...#.##..##.##.##..##....#..##.#...#.#.#...#.............####.##..##..#..#..##..##.#####...##..#....######..#..#.##.###.#.#..#.##.#........#....#..#.##..#.###.##.###.##..##.#.#.#........#.#..####.##....#..#..#..#..##.#.###.#..#...##.#.##.####.#.#.##..#..#.#...##.##.#..#......#.##.....###..#..##....#.#..##....#.##.#.#..###.####.#..#..##.#...#...##...#..##.###..###.#.........######.....#.##.#..###...##...#.....#..#..####..##.....#..#.####.###.#.###....#.####.#.###.##.#...###.#..#..#####.#.#.#.#.####.#.....#...#.####.###.##.#..##.#.###.######.##.#..#...##........##.#.#..#...##.##.##.#.#..##.#####.###...##..#.######.##.##....##.#.#.#.######.###..#.#.###..#.##........##.##.##.####.#.......####..#...#.##.....#.####..##..##.####.#...##.#..#.....#.#..#.#.####.#######.#.#..##.....#.###...#..#....##...###.##....##..###.#.#.##....##.#######.###.#...#..####...#.#.#.##.##....##..###.......#...#.#...####.#..#..###...#.#.#..#........######....###..##.#..#.#.#.....##.##..#.##..###...#.#...#####..##....####.#..##...####.....###.###..#......#...##.#.#..#.###.#..#######..##.###..#...#.###.##.##....###.##...#.######.##..#.##.##.#.#........####......###.#.#...##..##.##.##.......###..##...#...##.#.#....##.
.#.##....#.#.####...##.#####.#...#..###..#.####.##.#..##......###..##.###...##....##..##.###...#.#....#.#.###.....#.#..##..#.####...#.#.#...#.#.#.#####......##.#..###.###.#..#####..#...#.#.#.####.#.#.#.##..#..#.....#.#.....#..#####.##.....##...###.#.##.#...#...#.##.#...#.......###.##.######.#...#.....#.#.##...#..##..##.###...##...##.#.#..#..#....#.####.##..#...#..#..##.######.....##.#.#..#...#..##.#.#.##......#..#.#..#.#..#..#####.#.#.###.#...####...#.....##...#.#.#.#.#.###.###..#..###..###.#.#####.....#..##.###.#.#...#.##..##..#.##.##..##.###...##..#....#.###.......###...##.##....###.#####.###.##.#.###..###.####..#.#....#.##.#####...#..##...#..##....#.##..#.#...#####..#.#.##.#..###...#.##..#.#..#####.#..####.#...#....#.#.###.#..#...#...#..#..#######.....#....##......####..#..###.###.##.###..##...##....#..##.###.##.#.#.#.....#...###########..###...###..#.#.##...#..#..#...######.##....##..#..#.##.#.##.#.#.##.####.....##.#.#.#...##.#.###.#...#####.#...###..##..######.#.####.#####.###.#..#...#.##...#.#.######.###..###.#......#..#.#..#..##....##.##..####.##.#...#.##...#.....#.##...#..#.#.###.#...####..#.#.#.......#....###..#.#.##....#...#.#...###.#.#.#.#...#..#.#....#...##..#..##..#.###..##...#.#........###..##..#...##.######..##.#.....##.########..##...#.###.#.....##..#.#######..######.##.##..###......####.#....#.....###.#.######..#.#.##....#.#.#.#.##.#.##..#.#.#..###...###...#..#..###..#...##.######.#...#######....#.#....##.####.#..##...#...#.##...#...######.#...##########.##..#.#.#.#..####.#..#.##..#########..###.###.#..#...##....#.#...#.#.##..####.##....##..##..#...########.##...###.##..##..##.#.....#..#..#.#.##.#.#.###.#.#..#..##....#..#.#.##..#..#.#.#.##.##...##..##....#...##..###..#.#...####.#.##..###.#.#.###..#..#..###..#.##.#####.##.##......##....#####.#.##.##...#.....#...#.####.####.#........###...##...#...#..#...##.###.####.###..###....#.#..#..####.#.#..#..#.......#.#..##....#.#.####.##..#....#####.#.#...#...####.....#...##.....##.#.###..##.#.#...##...#.##..#
#.#....#....##.#....#####..##..##..#...#..##..#..#..##...#.#..###..##.##.#.##.##...#.#.#...#.###.#..#####..###......#.##.#..#....###..#.#.#.....#.####.......###.#....##.#####.##.#..#..####.##...##.#.#####.#.##.###.#.#....####.#.....#..#.###..####..##..##.##..###....#.#.#.##.#..........#.#.#.######.##.....#.######.#...##......#.##.#..#.#.##.#.###.##.#.#....#.##.##.#..#.#....###.#..#.#####.#..#.#.#.##..#.#####..###..#.#...###.##..#.#.##..#..#.#..#.####....#.##..#....#.##.###.##....##..#.#..####...#####.#..##...#..#.######..#.#.#....##.#..#..#####.###...###..#...###.#.###.#....##.##.#....#.#.#.####.##.#..##...#.#.###.##..#.##.####...#..###.###.....#.#..#....##.#.....#.#######.##.#..#..###..#.##..#..#.#...###.#######.##......###.##..##.##...##..######...##.#..#...#..#..#.#.##..#.#.#.#...#.#.#..#.###..#..#..#....####...#.##..####..##.#..###...##.....###..#.#.###..###.#...##...#..#.#....##..#..##.##..#.....##...##...###...#.####.####.#..##.#.###...#.##..#...###...#..#.#.##.#...#####.##..###.####.###.#...........#.##...#..##...#.##.###..##....#..#.###....##.##.##..#..#.#...#..####...#..##...##.##.###..###..#.#....##.#.####..####.##..##.###..####.##.#.....##......####.#.#.##.#..###....#.##..#..#..#..#..#.#...#######.##.#..####.##...##.#.##..#..#...##....##...........#.#...####.#...#####...#.#.#...#...##....#....#.#...###.#....##.#.#.#####...##.###.##.###.##.####......##.##...###..##..######...#...##.###.####.###.#..#####...#...#######....#...#..##.#..##..###.##...###.##..#.##.....##.####.##.#.....##.###.#.#.#.#..#...########...###..#...#.###.##..#####.#...#..##...#.#.###....#.#....#..#.#...#..#..##..#..#######..#..##..#...#.##.##.#.#......#######.###...#...#..##.#.##..#....#.##......#..##.#...###.####..........#..#..##.#...##########.#####.###.######..#..#.#..###.#.#..######.#.#...##..#..##...#.#.#####.#..##.#.###.##.#..###.######..#.####......##..##....#.##..###.##....###...###........########.###.####.###........#.##.#.##...#........##...#.####.####.#.#.#####.###...#..##.
#..####....#...#...#.#.#..#..........##....#.#.#.####.#.##..#####.#.##.##....##...##.##.####.###.####.####....###.####..#..##.#..#.##.#.#....#..##.#..##.#.##.#..#...#..##..#.##.#.#.##...#.####.#...#...##.....#....######.#.##.###.#..##.#.##...###.#..#.#.######.#..##.###....####..##.#..#.#..##...#.#.#.##.#.#.#.###..........####.#.#.#.......###....#.#..#....#.#.#......#.......###...##.###########.#.###.#.#.....####..####...##.#...#...#.#....##...###..###.######....#.##...#.##..###.#...##..#....###.####..#.#....#.#.#...#..##.##.#.##.##.###.......####.#...#...#....##.#####.#....###.##.##.#.##..###.#..##..#####..###..#.##.#...#.#..#...########.............##.#.##....#..###..####.#...#.##..#.#.#.#######.#.###.#..#...#.....##.#...#.#..###..###...#....#.#.#..###.#.####.#####..#.##..####.#..###...#..#.##....#.#.###....#..##.####..#....####....##.##....#.##.#......#.##..###.......###..#.....##.###..#######.#...#...#.##...#.#...##...####.#.#..#.#....##..###.##.#.#.#.#.##.#..#..##..#.....###.##....#.#.####..#..###.......#.####..###.....###.#..#.#....##....####......##..#.###.##..##.....#..##..######.##.####.#....#..#.#.##...####....#...#..#.##.#...##.##.###.##.###.#..##.#.......#..#.##...#..##.######....#.#.#..####.#.#...#.....##....#...####.#.#.##.......###.#####.##.#..#.##...##....#####..#.#.......###...###.#####.##.##.##.###..##.#..####.#...#.#...##.##..###.##...#..##..#...###.####.#.#..####..######.....##.##..#..#.#..##..#...#..####.####.#..#.######.##......##.####.##.#.###..#.##.##........##..##.##.#.#..###....##...####......####.#.....#.#.##.#..####....#.####...######.##..##.....#....##.###.##......#..########..###.##..#######..###.#.#.....###.##..##...####.......#..#.####.##..##....###.###..#.##.###..#.######....#.##.#####.#.####...##...##.....#..##....#####...##..#.##...#.###.###...#...#.##.##.#.##.######.#.#####.#..#.....#.##.#.#..##.#...#..#.....##.#.....######.####.#.###..####.#..#..#....#.##.#####.#.#..#..#.#....#...###.#..#...##.#..##.#.#.#.####.......###.#...#.....
#...###.#.###.###......###...##.#...####.##...###..##....#.#...#.#.#..#..#....###.##.#.#..##..#.##..##..#....#..#...##.....##.###..#...#...##...#...###...##..###.#.#..#...##.....##.###..#.....#...#.##.#.##.#..#.#.##..#.###.#####....#.#.#######..#######.##.#.........#.#.##....###...#.#..###..#...###.#...###.##.##....#.#####...........###...##.##....#..#..##.....##.....#########.#..#.#...#####.#...###.#.##.###..#.#.....#.#..#..##....#.#..#...#.#.#.###..###..##...#####.####....#..#..##.##.....##..#.######...#..####..##.#.....#.#.#.#..##.#..#.###...#####.##.###........####.########.#.#........#####.##.#..#.##...##..#...#..#.#..##...#.#.#..#.....##.#.###..##.#.#..####.###.#.#..###.##.#####.#.#...#.....#...#.#.#.......#####...#.#####..#.###.#.#.#...#..#..##.###...###...###.#..#...##..#..##..#...###.#.#..#...#####.###.#.##.###.....#####.#..##.....#......##....######.#..###.##...#..#..#...#.#.#####.###.#.....###..#....#.#.....###..####.####..###..############.#.###.##..#...###.##..#..###...#.##.#.###.#.#.#.####.##..###..#....####.#..#...##....#.###.##....####...###.####.##.#.###.#.....#..######.####.#.#..####.#..######..###..#...#...#.#.###.....#.###...##..###.#.........#..#.###.#.##...#.#.#..#...#.#.###..##.##...#.####.#..#...#...#..##...######...###.####.####..###....##..#...#.##..##.##.#######..#.###.#..#.#....###..#.###..###.....##...#..##.####........###....#...###..#.......#..##.#.......#.####..###...####..#.#....#...#########..#...##.#..#.#.#...#.#....#..##.#.#.....####.#.##.#...##..#.###.....##..#..#...####..##.......##...#.#.###.###.#..##.###.....#.##..####.#.##..#........##.#####.#.#...#..#.#..##...#...###.#.###....##.####..###..#...###..#..#.#.#...#.###.#.#####.#.########...##.#..###..##..##.##....##.##..##.#.#.#########.#.#.#....#...#.#..###.##..#.##..###.##.##.....###..###..#####.#..#...#....#.########..##...#..#..#.#..#.##.###.##.###.#.##.####.##..#.#.###..#..#....#..###..##.##..###..##.#.###.....######.#.#...#.#.##...#.#####.###.###...##..#..#.##.##.####.###.
##.#.#.##..##..#..#.##.####.####..##....#.##.#.#..#..####..###.##..###.##.##.#.#.#.#...##....####.#...###.#..#.#.####.#.#..#.#.##....#...#....##.###.#..#...###....#.#.#.##...#.#.#.##....##.#..###.#.#....#..####.#...#....#.#..##.##.##...##..##.##.######.###.....#.#...##.#.#.####.#..##.#..####..########.#.#.##.###.####..#...##.#..##......#..#.#....###.#.#..#.......##.##..##.##.#..#...####...##.#.#.#######..#..#.#.#....#...#......###..#.#..#.#..#.#.#....#.#.#.###..######...#....#.#.##...#######..#..####...#..#####..#####..##....#.#.......#########.#.##.##.#...##...##.###.....###.###....#.##...#####.#..####.###..###.#....##..##.#..##..##.####..#...#..#..##..#####.#####.#####..##.#.###.###.###..####.##..##.....###...#.#...##..###.#.#..#.###.#...###.####..#####..###...##...##.#....##..#....##...####.#.#..####.#...######....#..##...##...####.#.#.#..###.#..#...#..##....#..###.#..#.#...#.###.##.......#..#.#.#...#.####.#.#.....###.....##..####..#....#.##...#####.##..######..###.#.##.#...##.#.##...##.#..####........##..###.####.#..##.##...#.#.##.###.##..######....#..##...##..######..##.#.######...##.#.#..#.#...#...###.#...#.#..#######.####...#...###.#...#####...##...#..###.#..##.#.###...##.#.#..###.##.##.###.#.###...##..###.##..#..##..###....######..#.##.######..#.###...#...####..#......#...####..###.#..###.#.....##.#.##.....#.......#.#.####.#.#...##..######.#.#..##.#.##.#.#..##.##.#.######.#...##.##..#.....##.....##..#..######.#######.#.#........####.#....###.##.#.##....###.....#......#..##..#.###.#.#.#..##..#..####..#....###.###.#..##.###..#.#...#......##...#.###.##.....########.#.#....#....##..#.#..###.#..##.#####.....###.#...#.###..#..####.#.###.#.#.##.####.#..#...##.##.#....#.#####..##........#.#...#...#.#.#..#.#.#.......#.####.##.##.##.###...#.##.....##.#.##..#.#...#.....#.#.####.#.###..#....####...#..#.###.#.###..#######.#..##.#....#.##..##...#.#.#.#.#..#.#.###.#.#..#..#.#.#.##..##.#.#......#.#.#.#.......#..#..#...##.###.####.#......#.##.#.##..#..##..#..###.#.#.##..#...
####.....#....#.#...#....#.#.#.#...###...#.####...###..#.##.#.#..#######.#....#.#..#.#.#.#..#..##...#.#.#####..##....####.##....#.#####.#..#..#.####.#.#.##....#...####.#.#...#.##.....##.#..#.....######..##.###..#.#...###.##.##.#.#.##..#..#..#.#.#.###..#.#.#..#.#.##..####....#...##..#..##.##.########.#...###....#...##..###...#.#.####.#..########.#..##..#..###.#######.##..#..##.##...##.#..###.#.###...#........##.#.#....#.##.#.#..###...#..#.#.######.#..##...#.....#########...####.#.#...#.#....#.#......##..#.#..#...##.###.#.##.####.#.#..######.#.###.#...#......#.####..##.##..###.#..#...##..#...#.#..#.#..#...#.#.#.#..#.##.#.##.#.#.#..########....###.###.##.##..#.##..###.##..#..#...#.#....##...#.##..#..#######.###.......#####.#.###.########........#..####..######.##.#....#..#...#.....######.#...#..#..#....#.....#...#.#..#..###.#...#..###.......#..#.#..#...###..#...#.#.##..###.####..##...##....###.#.##....#####.#..#.###..#.##.....###.#########.#.##.#...###..###.###..##.###.####....#....#..##.###...#...#.##...#...#.######.#.....####..##.####.##....#..#.#####.#..########..#.#..#.....#.....#.###..#####....#..#......##.##..#.#....##.....##...#..#.#..##...#....#.....##.#...#.##.#...##.#..#.#....#.#.####.#..##..#..###.##...###.##.#.###..###.########..#.##...#..##.###.##.###.#..##....#.#..##..##.#..###..#...####.#...#.##..##.#......#####.###.#.#####....#####.#.##.###...#.###.###.....#.######..###....#.####.###..#..###.###.##.###.........#########.##.#.#..#.#...#.#.....#..#.###.#..#.###.##...#.####.....#.###..###..#.#..##.####.....####....#.##.#.#..####.#.#...##..#...#....##..##...#####.#..###.#.##..##.######..#......#....##.#.#.###.#.#.##.#.####.###..##.##..#####.###...#..##.#...##..#...########.#.##..######.##..#...#....#.#####.#....#.#..##.#..#.#..###...###..#.........#.##.###.##.###..##.#...##.#####..######.#..######.#...#.##..#..#.##..#.##...#...#####.#..#####.##..#.#.#.#..##.###...#.###..#.###..##.##.##.##.##....#.#.#.#..#.###.#...####.#.#..##.##...#.#.####..##.#...##.#...#.
#..#.#...#..#..#..#.######.##.##...#####.##.#..#.#..##.##.#.#####..##...###.###.##...#.......#.#....#.##.#####..#......#........#......#..######..##..#..####.###.####.###.#.....#...####.#.#..###.#.##..###.#..##.#.#...#..#..#..#...#.#...##...##.##.......#.##.##.##.#..#...##.#..####.#..#.##....#####.###.....#.#....##..#.#.....###.#..##...#.....###..#.##.##.#.##....###..####.#.###....#.###.....#.###....#...###.......#.#####.##.#....#.......###..#..#..#....###.####.#.#......##.#..######..#...#.....#.#.....#......#..#.#.#.##....###...##.#..#..#..#.#..##.#.......##..###.###.#.#..#....#...##...##..#..#..#..##..#..##...#..###......####.##.#...#..####..#.#.#.......#..#...###.##.##.##..##....###....#.#....##......#..#..#.#...##.#.###.##..#.#...#.##..#.#..##..#.##.#.#..##..#.#.#..#..#..#..#....#.#.#########..#....#..#..#..###...#..##.#.##.###..#...#...#.#####.#.#.##.#.#.#######.....#..#..###.##.####.#####..#..#.#.#.#.###.##.##.###.##......###.#..#.....#..#..#.#.#.##..#.#..###..##.#.#..##..#.#..#..#.#......####......#####.#.#.#.#.......###..##....###..#.##...###.####..#..#.#..##.#..#.#..#.##.##..###.#.###.#.....##.#..###.#.##.#.#..#.#.####...#..#####.##..#...#.##..##.#..#..#####...###..#...##.##...#..###..#.#...#.###.#..##...##.#.#.#...#.##########...##.##.#......##.##..##.#.#.##..###....##.##........#.#..#.#..#...#..#..##.#...#.....###..#...#...#..#.....##.#.....######..#..#.##....#...######..##.###.###...##..#..#..######.#.##..#...#..##.#..#.##..##.#.#.#....#.#.###.#.#.#....#.###.##.###...#.#####.....#..#.###.#..#..###..#..###.##....##...#..#.##..##.....####.###.#...#......#..###.#.#...#.#..###.###...#...#..##..###.##.#..#.#####...#####..###.##.####..##.......#.#.#...##.....##.###....#.###..####.###.###..##.#....#...#.###...#..###..#.#####...#####.#....##..####...#...#..#..##.####.##..####...##....#.#.#.#..#.....#.##..#.#####.#.....#.#####.##.......#...#..#..#..#.#..#.##....#.####..##.#.#...#..#..#..#.#..##..####.#.####.##.....#####.##.#.###.#######.##....###....##....##..#.#
###########..#...##.#....####.......#.#..###.#.....###.#..#.#..#.##........#.###.#######.###.#...#..##..#...###...#.###.#.###...####.##...#.#.###......#.###.#.#.#.#.....#..###.#.##.#.#..####.##.#.###.....#..#.#.#####.#.#...#..#.####.##...##....#.##..#...##....###...##..##..#.....###.##..#.##....##...#####.#.#..##.##.###...###....#.###.#..#.########.#..#..##.#.#.....##..###.###.##..#..#.#.#.#...####.##########.#...#...####.##..#....##.......##...#.#.#.#.##......##.###....##.##.#.##...#..##..##.....###...#.#..##..###..##.####......####..#######....##...###...####.#....#....#.###..##....#..##..#.##.#.#.#..#.###.##..#.####.#..#.#....#.##..#####.####..##..#.#####.#....##.#...#.#.#####.#.###..##..######.##.##.###.#.##..###.....####..#...#..#...##.#########.....#######.#.###.##.#.#.##.#.#.......#..#.......#....#.#....#.#.#.....#..#.##..#..##.#######.##..#.##..###.#..#..###..#.#####.#.###.#.#.....#.#......#.#####.###..#.###.....###..###.##.##.#.#...#####..###.#.##.#..####..#..##..#....##..#...#...##..##....##......##.##..##.##.#.#........##...##....#.#.#.##.##......#######..##.#.##...##.###....#..###..##.#..###.###.#.#..#...#.####.#####.###..##.##.##.##..#.###.#.#######..###.##...#.#.######...#######...#..##.##....##.#.##.....###.....#.####.##.......#.##.##..#..#..###......###..#.####..#.##..##.##...#.#.##....##..##..#.....####...#..#.##..#.#...#.##.##..##......#..##..######.#.#.###.##.#..#.##..#.#####.##....##....#..##.##.###....#####.#..#.#...#...###.....##.##.#.#.###........#.#.......#..#.#.##..####...#.#.#...##..##.#.###.#####...##....##..#.#.#....##..##...###..#####.#.....##..####..###..###.###.##...##....#.#####.#..#....##...#...#.####.....##..#######.#....#.#.###..##..###.#.##.#.#..##.#####.....#..#.##..#.#.##.#.#.######.#..###.#......##...#...#.###.#....##.....#.#.##...#...####.#.##..#..#...##....##.#..##..#.##.#####.#####.#.#######....##...###..#.#..#..............##.######.##...#.#...##..#.#.###...#.##.##.#.#.####.#####.#.#.#.#.##.##.##..##.##.#.######..#..##.##.#
#.#..##.####.#...###.##.##...##..#.##.#..###.##.....#..#####.#.#..#.##.##..##....#.........#.##.#.#.#.######...#...##.####...#.#.###.####..#.#..###..#....##...#.#..#..######.##.###...###.##...##..#...#.#####...#....#..#..#.##..#.#..####.#.##...#.####.#.#.##.###....##..#.#.##..#...#.....#..#..#....##....#..#....##..##.#.##..####...#.....###.#....###.....#..##.#.#...#.#...######...#.#...###.#..#..#.#######..#.#.#.###..###...##..##.#..#...#.##..#...##.#.#.####..#..#.####.###.##...#...#####.#...#.##.#....#..##......##..##.###..##.....###...##.###....#.#####.#.#.....##.#.###...############...#.######...#####.#.#####..###.###.##...####.#...##..###.#...#.##..###.###..#..#..###...#...#.......#...#####.#..##..###.........##.###..#..######...#....##.##......###.#####.#.###.##.###..##.#.##..#...###.##.######..#.#....#.##.#.###.#..###..#.....#.##.###...###...####.##...#..#...####.##.##.#.......#..#.#####....#...#..#####.#.###.####.###.#.#.###....###...#.#...#..#.#.###..###.#.#..##.##.##.#.#..#...#..#.#.....#.#..#...#..#..#..#...#......#..#...##..##..###..###.##.......#.....###..#######.#.#######...#.###.#...####..###.#.......#.##.###..#..#...#...#.#..#..##.####.#.###.####......#..#.##########.##....#.#..#..###.###.#.#.###.##..#...#..####.##..#.#######.#...#.#..#...........###..#..#..#.......#.#..##..##...##.#.##.....##.#...######.####.#####.#.#.####.....##...#.#######...##...####.#..#.###...#...#...#.#.#####.########.#.####..#.#.##.#....######....##..###..#.##.#####..###.#...#.#.#...####..#..###.#####.#.#..#..#..#..#..##..#.##.#..........##.#...####.#.#.##...#..###..#########.##..##..#..#.##.#####.#..####...#......###..###..#.#...##.#.#.#####.....#..#..##.#.##.#.#.####...#.#.#######.#.###..###.###.##.###..#..##..##########....#####.....##..##..#.#..###.#.#.#####.##.##..#.....########.....#..##.#.#..######..#.######..#.#....##.###..###............####.###.##..##.#...#....#####........#.........#.#####..#..#..#.#..##.###...#..#...####....#.#.#.###.#..#.#.....###...#....###.#..###
##.##..######.....#...##.......#..#.#.#.#.#.#.#...#.....####..###..#..#..##.##.###..#.####......#.#.#.#.###..#####...#.....####...#...##.#........#.##....#.####..#..##..#.##.###.##..#...........#.#.#.#.##.##....#.##.#.#..##.##....#.##.##.#.#.#.##.#.###...##...##..#.##.#.##.##...##..#...##.#....#.#.##..###.###.....#..##.##...##.##.##.#.#..#...##..####.###..#..#..###...#.#...#.#.####..#...#.#.......#.....###.####..#####.#.##.##.#.####...#.####.##....###.#.##..###..#.#..#.##.##.##..#..##.##..######..#.##.#...#..#####..#.##..##.#.##.#..##..#.#.#.#..#...##..#.##..#..####.#####..#.#......####.....#...###..###..#.####..#..###.#######....##.##...####.##.####.#.##......###.......##...##..#...#.#...#..#.##.##...###.####.#...#.##.....#..#.#.##....#.#..#..#.#..#####..##.#.#.##..#####..#.#.##..#..#.####.##.##...#...#####.#####..##..#####.#######.###...#..#..#.....###..##.####.#####....####.......#.##.####...#.#.###.....#....##.#.####..#..#..#.#....#..####...#.#####..##...#..#....#.....#.#..#..#..#.#......##.#.######.#...####..#.....#..#...#...##.#.##....###.###.##.##.#....#..##.#..#....#.######.#..#..##....#..##.##..#.########.##..##.....##..#.####....###.....####.#.##.######.##...#......###.#.....#....#.#..#..###.###..#...#####.###...#..#.#####..###..#.#.#.####....#...#.##.....#.###.#.##....#.#...##.#...#....#...###..##.##..###......#.######.....###...#.#.#.###..######....##.##..#.#....##.#..###.##.###.#..##.#...######.#####..###.##.##.##...#...#.#.....#..##...#.##....###.###.#......#.##...#.###.##..#...#..#.###.#.#...#.###.......##...##...#.##...######.###..#.....##......#..#......#.#.#####...#.########.#.##.##..##.#.#....##...#..##.....##......#.#.#.####.#.####..##.###..####.#.##..#.##..##...#.#.##...##..##.#.#...##.#.#.###..##.#....##..##.######.#..##...#.#...#..#.#####.##..#.###.#.##.##..#########..#.#.###..#.#.....#..######.....#..##..#..#.#..##.##.#.##....#.#.#.....#.##.#.#...#..##.##.###....#.#.#.#.##.##....######.#..#..#.##.......####.##.##..#.###.#....#...##.#..#.#####
..#.#.##...#..#.###.#.##.....###.#...######....##.##..#....##.#.####.####.##.###.#.#.###..###..#.#...###..##.....#.###.....#.##...#.###..#..##..##.#.....#...##..####..##.##...##.###..##....##......####......####.#..#.#....##.#..#.##.##.#.#..#####....#..##.#.####.#.......###...#.#.#.###.#....#.#.#.##.#..##......#.#.#.##.##....###.#####.##...#..#.##.##.#.#.#.#..#.##.###...###.#.#.###.###.##...##.#........##.##.....##.##..##..###..#....#...#.#..#..#.#..#.##.#####.#....##...##...#.#.#.##..#####.###.#.#.##...#.###.#..#..####.#.#..#.##.###.#...#.##.#..##.####.#....#.#...#....#.#..####.###...#..#.#...##..#.###.##..#.##.#......##.#..###.#...####.#.#....#.#....#...###..#.####..##....####.###......#.#..#...##..#.##.#..#..##....#.#.#.#..###...#.#.........###.##..##..#.####..#.###..##.#..#.###########...##.#.#..#.#...####...####.####..##........##..##..#.##.##.##.....##...#####..###..#.####..#..###.#....#.####..##...#.#.#...###.####.#..#...####....##....#.####.#....#..##.#....#.#.....#.#...#..####.######.#####.##..#.####....##.####..##..###..#.#.#.....#..##.##..#.#.#.#####..#.#.#.#.###..#####.##........#.##.#..##..###.###..###...##.##..###.#.#....#...#.#..#.#####...####..#.##.#..#.####.#.#.#....#........#.#....#.#..#.##.#.###...###.#...##.#..##.#######...####.#.#.#..##.....##....#......##.#.#.##.#....#..#..##.##......##.#.##.....#.#.#..##.#####......####.####..##..#..#....###.....####.#..#.##...###.#.##...###..####..###....###.#..#.#....#.####..##.##...###...####.#...####.#...##..####.....#..##..#.#......#.##..####...##...#####.#.#..#.#...#.##.#.#...#....##..##.#.###....#..#.#..#..####.####.#####.##.#.#..#.#.##.##.##........######.##.####..#..#.#.##..##.#...#.#.##...#..###.######.########...######....#..#.......##.#.#.####...#..###..##.#.#.##..#..#.##.##......#..#.##..#..####.#.#...#...###..###.....##.##..##..#.#..####.#....#.#.###..#..#.....##..#..#.#####..#....###.#.#.##.##...#.###.#.#####.#.##..#..#..##....#.#..###...#.#.#..##.#.#..#.#.#...##...###...####.#...##..##...#.#.##
#.#..#...#.#.#####.#.#..###...####.#.....##..##..###.##.##..#....#..#...#####..####.##.#.#...#.#.######...##...#...#.##....##.#.#.#.#.####.###.#.#.#.....#...###########.##.............####....#..#..#.#..#....##.#.#####.##....###.##....#####.#.###.#.#..#..#.#####.###.###..##.#.....#.##.###.#.##.#..#..###..#.#.#....##.##.#..####...##..........#..#..#####.####.###.#####...#.##....#.#.#....#..#.#...#.###.####.#.#.##....#..##.####...#..#.#......####.##.#.##..#....#..###..##...#.....####.##.....#..##.#...##...#...#..#.######......#..#.#.....#.#.##.#.##..####....####....#..####...##..##....#####.#..#.#.###....##...#.#####..#####.##...#.#.#...###...#...##.......#.#.#.##.#....#.#..##....##..#.#.##.#..####.#.###.#.#.####..####..#.....###...######.###.##.#.##..##..#...##..######.#####..#..#####.######....#.#.##.##.#.....#.##.####..####.#.#..###.#..#.....###.#.#....##.##..#.##..#..##.###..#.##.##.######...#.#....#...###.##.##....#..##.....#...##.#..#.#.#.#.##.##.#.##...#####..#.##.#.#...#.#####..##.....#....#.#...#...#.#.#####..#.....#.#.#.####..##...#.##.#...##.#..#..#..#.....##..#..#......###..#.##.#..###.####.##..#...###.#..##...#..#.##..#...#.###.#.#.#..#..#..#..###..#######...##...##.#......###....#......#.#..#..#..#.#...#.#####..#...#..#.##..#....#..#..###.#.#.###.#.#.#..#.#....###..#..######........#.##.###.######.##.#.#####...#.#.##..#..#...####.#.......##.##...#.#######..##.####..#.#.....#....#....###..#.###..#####...#.#########.####....#....#.....##.###....#####...####..####..##.#####..##.####..#...#########..#####.###...#...#...###.#..#.#...#.....#..###..#.##....##..#.######......#.###.##.#.#.##..#..#.##..#.#........##.#..####.##...#.###.#.##.#..#.#..#....#.#..#....#.##.##...#######.#..##....###.....###...##.##.##.....#.##...##..#.###.####....##..#.#.#..#.#.##....##.#.#...####......#...#...###.##.###.#####..###....#.#.###.#.#..###.#.##..##.#..#######.###.####.#..#...#.####..#.#####.#...##.#.###..#.#####.####....##...#...#.###.###.##....##....##..#..#######..#####.##.
.###..##..##.#....##..#..#..#.#.##..#.#.#..#.##..###....##...#.....#.##....#.#.#.#.###.#####..###.##...######.##...#..#.####.##.#.##...#..##..##.#..####.###.#...##.#.#...###.##.##....#...#...#.###...#..##...##.#.#..#...#....##....##..#.####...#...#####..#..#...##.....##.##..###.##..##...#..#..#.....#.###...##.#.##.#.#....####.##...#..#.##.##.#.#.#.......#.#...#.#.#....#####.#.#..###...#.##..#####..#..##..#...#...##...#..........##.....#.###..####.#####.###..##..##....#..####.##.###.#....#...#.####..#..#.###...#.....##...#.#.###.#.###.#..###.....####..###.###.....##.#...####.#......#...#.###.##...####.##.##.###.#..##..##.#.#..#..........###...##..####..#..#..##.#.##..##..#####...###...##.##..##.####.#....###..#.#.##..#..#...#...#....#....####.##....#.#.#.#.##........####.##.####..#...#.#.#.##...#####.#.######..##.##.#.##...#.#.#.##.##...#..##........##...###.##.#...####.#..####.#.#...#.#####..#.#..#.#.###.###..#.....#.#.#.#.#..#..#.##.#...###...###.#.###...##....#..##.#....#.#..###..#..#.##...##.#.#####.####.###....####.###.##...###.##.#.#....##.#.#..##.#####..#..#....##.##...#..##..#......##.###..#..#...#......##.###..#.####.....##.###.#....##.#..#..#....##.#..#..#..#.##.##....##..##......##..######.#..#.##...#.#######.#.#.#..##..###.#..#.#.#.#..###.#.#..#....#####.#..#.#..#..#####........##.#...#..#.##.##...#.#.##.###.#....####.#...##.#...#..###.#####.###..##.#.#.##...#.##..######...###..####.#..#.....#.##..##.#.######....###.#.#..#######.#...###.#.###..#.#...#.####...##......###..#.#...#####.#.##.#####.#....##.#.##.#..#.#.#.#.##..#...#.#...##....#.##..#.....###..#...#..###.##.#..#..#...#.###...##.##.##..###.....###.##.#.#######.##......#.###.#..#..#.#.##..#...#.#.#.#....#.####.#..#######..##..###...#.#.#.##..##..#..######..#..#...#.####...#...#.##.##...#.#.#.#...#..#..#.###.####...##....#.#.###.#...####.....##.#.#.#.#...###...##.#...###....##.....#.##.#.##.....#.####..###..##..#..#...######....#.#.....###...###..######.####.###...#...##.####..######...#...#.##...#
###......###.##...#.#..##.#.##....##.......#....#...#####.##.##...####.....#...##.#.###..###......#.#......###.###.#.#.#..##.##..##.##.##.####.#...#....#.#..#######..#.#....##..###..#..######..#...##.###..#..#..#.........#.#.#..#..#.##......##...#..#####.#..#..####.#.###.#.#.###.######....#.#....#####..##..........#####.#.....####...#..#..#.##.##.#####..#########.##.#####.#.####.#...#.#.##.#.#.###...#.###.####..###..######.##.#.##...##..##...###....##.#.#.#....###..#....########.#.##.####..##..#.##.#.#####.....#...#.##..#..#..##....#######.###.#####.####....#.#.##...#.#.###.##...#....##..#.#.#.......#####...####.#.#.##..#.####.....##.##.#...##.##..##..#####.##..###.....#.#.##..##..###.######.#..###....##...########..##.#..#####.#.#..#..#...#...##.....#....###.....##.#.#.#.#.....#....##.####.###.##.#.....#..#....#..#..#.#..###...##......#####.#......#..###..##.##..##.###.#.####....#.#..##..##.#.#..#..#.###..#..###..#.##.###..#.#.#.##.##.#.#..#...#..#.###..##..#.##.......##.#..#..###.#.##.##.###..##....##....#.#..#...#.#.#.###.##..###....##.#.#.#...#..#.#..#..#.#....#.##.#####.#.#.##...#.....######...#..#..#.#...#..###.#...#..#.#.##.###.######.##..#.#.###.##.######..#.#.##.####..#.###.##.###.###..#.##.##...#..#..#.#.#####....#.##....#...##.#.#.....##.#.#..#.#..###.....###.#....#..##.###.##.###.##...#.....#...#.##.#.#.##..#.....#.......##......#.#.#.#####.#.#..###..######.....#.....##.####...##.#.###....###..#.##...#..#.#.#...#.#....###.#...#.#..........#...#.#.####...#.##...####.#####.#.##.##....###...##..#.#####..##.#..#...###.#.#...#..#.#..##.####....#...##.#..#..#..#.###.###.......###.####..##..#.##....#...#...####.#.#.#......#.##...#.#####...#.###.......###..###..##.#.#.#...####.#..#...#...########.####.#..#.#.###.##....####...#.##.#.#######........#..##.##....###.###.##.###.#..##.#.#..#.#.#.#.##.#####.####..##.#.#.#....##.####....##..#.....##.#####.##..#.###.#.##.###...###..####.##.#..##....##......#..###.##.#####..##..##...#..##.#....##....#..##...#.#...........
#..#...#.#...#.#.....##.###.#..##.####.#......##....##.######...###....#####.##.#...#.###...##...#..#.###.#..#....#.##.#...#...###...#.###..##.###...#...#.###...#.##.#.#...####.##.######.####..#......#.#.###.#.#..####.###..#####...#...#.#...#..#.#.######.#...#####..#####.##.##......##.#.....###.###.####.#......#.##...#..#####....#.####..#..#..#..####..##.####....#..#...##.............#..#......#.#....#.#.#...#.#..##..#..##.###.#####.##.###.##.##.#.###..##.###.#..#.##.######.#######...#....#............#.....#.....##.#####....##.##...#..#.##..#.#.#..#..#.......##..##.####.##.#.###.#.#.############.#.###.#####..##.#..##.#..##.#..##..#.#....##########.#.##.##.#.###..##.#.#...#####.#.#.#....###..#....##.#####.###.#.#......#...#.....####.#..##....#.#####.####..###.#..#...#....####.#.##.#.#.###..##.##.#..#..##...#.#...........#...#.#.###..#..#....#########..####....####.###..###.#..#...#..#.#..#.####.#..#.####..#.#....##..##...#....##.#...##.#..##..#..###...##..#.##.##...#####.#..##..##....#.##....#..##.####...##..#..##..###.######.##.##..#.##..##...###..###.#..###.......#.##..#########.#..#.#..#.#..#.##..###.##.###.#####...##.##.####..###..###.#..#..#.###....#..#.....###.#.##..###....###.###.##......#.##.#.###.####......#..##............#.######.#.####.######.##.#######.#.##.#....###...#..#...#.....#....#.###.#######.#.##.#.#.##.#.#####.##..##..#....##.##....#..###.##.###.##.........###...###.#.###.#..##......###.#.###.##.#.#.#...#.###.##..###.....#.#.##.###.#.......###.####..##.##.#.#.#.##....###..#.##...#.........#.#.##.##...#.#..#.###.##..###.##.##.#......#..#.#.#..###.#....#.....#.###.#..##.##....###.#.##.###.##....###..##.#..###...#.#.#.#..##..##.##.....###.####.#..####..##.#.#..#.##.#..#.#.#.#...#..#.####..#.##.#..#..###.#.#.....###...#........###.##......#..##.###.#.#.#...#..#....#####.#..#..##.#..#.#..##..#.#.#.#..###.#######.######.######.###.#.#.###..#####.#####....#.##.####.#####..###.#####..##.#.#..####......#.....###.#.#.#..###.##.####.#..#...#....####.#.###
##..#.#.##.###...#...###..##..#.#..#.######.##.##...####.##.##..#.###.#.###..#.........###.##....#...###.##.#..####.#.#............#.######...###.#...########..#.#.##..##.###.##.#......#....###..##.#...#..##.#####.##.###......#######......#..#.####.#..#..##.##...##.#....###.#.##.####.......##.##.#....#...##.#.#..###.#..#.#.###..##.#....#.#.##.#..#...##..#.#........#....#...###..##..####.##...#.##....##.#..#...#..####..#...###..#.##...#.#.#....###..#......#####.##...##.#..##.#.#..#.#.#..#..#.##..#......#.#.##.#...#######..#.#.#.#.#.#.##.#.....###.#..####.#..#.##..#..##..##.#.#####.#..###....#.#....#...#...#.#........###.....##..#.##.#.#...#.....#####.##..#######.#..##...#####...#.#.#.##..#..##.##...#######.##..####...#.###.#...#.#.##.#.#.#..##.####.#.#...##.#.#....#...##..#..#..#######.###..#.......#.###.......#.###..##.....##....#....#.#....##.#.##.###.......#......#..##.#.##...#.#..#..#.#.#.....#..#.###.####....#.####...####...####..#...#.###...#####..#####....#...#.#.###..##.#.....#..#.#.###..#...#.#####..#...##....###..#.##.###.#.#..##.#....###..#####.#..###.####.###...#.#...#.##.###.###.#......###....#.#...#.#####.#.##...###..##.#####....#..#...#..###.##..........##..#.####.#.#.##....##.####.####.##.##...#..###...###.####.##..##..##.#....#.#.##...###..#...#.###.#..#.###...##..##.#..#####.####..#.##..##.#..###.#..###..#.######.##.##.##...###......#.#....##.###.##.##..#####...#.##...#...#..#.###....##...####.#.#....##......#...####..#.#.#...#.##.###..##....#.####...###..#####..###...#.#.#...#..#.##.###.##..#...###......#.#.#.##.##.#.########..#.#......#..#######..#..###....######.#..###.####...#..#.#..###...####.##.##......#....###..#####.##...#..#####.#.##.###..#.##..##.#........#..#..#....#...#.#.#..##.#.#.....##.....#.##.#..##.#.#.###.#....#.#####....#.#...######...#.##..#.#.#..#######..###.#.##.#.#.#...#..##....#.....#.#.#..####.###.#..###.#.####.##.#.#...####...#.#...####.###...#.#...##########.#....####.....#.#..#....####.#.#..#.#...###.#..#.#....##.###..##.
.###...#.#....#####.######..###.#####.##.##.#####.#..#....#..#.#..####.#.#.########......#..#####.#####.#.##.##..#.#...#....##..##.#..#.####...##.#...#....#.#.####.####.#...####....####.##.####.##.#...#..###..#######.....#.#.#.#.###.####.....####.####..####.#.....#....#.....#....###.#..##......#####.#.##.#..##....#.#.##.##.#....###.#.#......#.#.###..###..#...#.##..#....#...#.#.#..##..#.#....#....#######.....######...##.#.##.#.###.#.....#.#.....#...###.#.#...#.#.##.#.##.##...##.###.#...##.....####.####.#######....######.###.#.#...###..#.#.##.########.#.#.##.##.#...###....#..##....##.....#.###.....##..#.....#.#........####.##......#......##..####....#..#..###.#.##..###......#.##..#...#####.#.##....#####.#.##.####....#..#.#..#.#.#.#.###..##.#.###.####..#...#..#.#.##..#.#####..#.#.#.##..##....###.##..##.#.##..##...#.#..###..###..#.#..##.#.#.#..#.##.##.###...##.##..##...#.....##.##.....##......##.###....#..#.###.##..###..####.###.###....##...##..##...####.#####.#.#....#..##.####..#........#......###.....#..##.###..##....#..#.#..#####.###.##..#.##..#..#.##....#..#.###..##....##..####.##.....####.#.#####.##.#.....###......#..###.#......#..#.##..###..#.###.####..#....##...#.#..#.......#...##.##...#..####..###.#.#.###..############...#..#...##.#####.#.##.###.##.##..#..#...#.........#..###....#..#..####.#...###...#####..#....##.####...#.##..#.##..####......##.##.#.#..##..####...###.#..#.##...#..####...#.##....###.###.#####.####..##..#..#......#.##.#.#.#..##.##..#...#.#..##.##..........#.....#..#.#####..####..#####.#..#.##.#..#.#..#....####..###...###.#....##.#.##...#.###.##.#.#.######...#.###...#..##.##.###.##..####.#.#######.###..##..##.#.##.#....#...###..##.##..#.##.#...####.#.####...####.##.####..#..##.#..#.#.##..####.#..##.#..#..#.###.....##.#.#.###.#.....##..##..###.####..#####......#....###...#.###.#.#.#####.#.##...###..####....#..###...#.....##.##.#......#..##..#..#..##..##..#####.##.#..##........###...#.##...##..#..#.#...###.##.#..###.....#.#.#########...####...#.###.
......#..#..#####.#.###..#.#...#...##.#....##.#.....#...#.###.#...#...###..#.###.#...#..#....#.#.##.#.##.###.#####...#...#......###....##.#..#.#.#..#..##.#.#..####.#....##..#..#...#.####.....##.#...........###..#.##.....#.#..###.#...#..#.##.##.#..#.#..##..#..##....#.#.#..####...##.......###.##.#..#.###...#..##.#......##.###....#.#####.#.#.#...#..###.#.#.#...#.#.##.##...#..#...#.#.##.##.#.######....##..#.##.##...#.......#.#.###.....#.#..##..#.##.#.#.#.####.##.#.##.##.#.#.##..#..#..###..##.#.#...#.#...##......#####..##.##...#..###..#...###.#.....###.........#.#.#.#.#.##.#...#...#.#.#....###..###..#......#.####.#..##..#.#####.#..#.#.#..##.##..##.....####....#####.#...#.#...####.#.###.#.##...##.......#..#..###.#..##..#.#.#..##.#.#####.###..#.###.#...#.##.#.##....##..###.#########.##..#.##..##..###.####.....#.###.#..##.####....#.#..##.#......#.#...#..#..#..###.#.####....#.#...#####.....###...#.#..###...###.#.##..###..###.##..#.#.#..####..#.#..##.#.####...##.......#.#..#####.##.####.#......#....#.#.###..#.#####.#.###..###.#.#####.#..###..##.##..###.#####.....#.#######....##...#.##....######.####..#.#......#.######..#.###.......#...#.#..##......#.#..#....#.#######...#.##.##.#.###......#.####.#..##..#.##########..#.###.###..###..#.....##...#####.#.#.#....#...##.#...##..#..#..####..#.######...#...#.##.#....#.#..###.#####.#.##..#####....#....#..#.....#####.####.#.###.#.###.##..###.......##..###...###..#..##..#...##.#######...#.#.#...##.###...#...#.#.#...#..#.##.#.#.##.###..##.#.#.....##.#.#.##.##.....#####..#.###.#.#.##...###..#...##.###.#..####.#...###...##.#.####.#.#.#.###..#....##...........##.###..##..####.##.##..#...#..#...#..#...#.###..######.###.#.#.#.#.#.#####.#...#.##..#.#.....##.#.#..#..#..#.....###.##.##.####...#.##.#.#.##..#.##...##.#..#..#..#..#...##.##......##.##..##...###..##....#...#..#....#..##.#.###..#.##.#####....##.###..###.#.......###.#...###........#.######.##.###.#.#....#..#.###.....#.#.#..####....###.#..#..#..#####...####..###.######..####.###....#.###
.##.##.##...####.#.#.#.#####...##.#.#...##..#.#...#..##.#########.#...#...#..#..###..####.#..#######.#...#..#####..####....##.##..##.#.....#......###.##..#.#.....#####..#...######..####.####..##..#....#...###.#.#..#..#.#..###.##...#.#.#.######...##..#####.#.#..###.####...####..#...##.#..##.#....##....#.###....#.#...#..#.......#...#.##.#..#####...#...#...#...#..####..###.##...#.#.##.#.######..#....#..#.....#####.##....#..###..####.#.###.##..#....#..###..#.##.##....#.#..#.#.##.....#.#..##..#...#..####......#.##.##..####..#..##.#.##.####..#.#..####..##..##.##....##.#....###..####.##.#....###.#.####.##....####..#.....#..###..#.#.#..##.###.....#####...###.##.###..##.###.#.##.###.#.##...####..#...#.##...####.####..#.##..###.##.#...###.#.#..####..#.#..###....##...#.....#.#..#...###.##....#####.#.#......###...##..##.....#..####..####....###........#.#.#......###.##...#..######....##..##.##....###...####.#..##.##..##.##.#.....##.#.#.....##...###.##..##.#.#.##.####...##.#..#.###.#.#.##.#####..##...#.###..#####..#..#.#...##.##.####.####....#####.#.##..#.#.####..#.##.###..#....##.#.#####...#.#.#.#.###.#..#.##..##...#.#.....#...#..#.###.##.#.#...#...#..#..#..#.###.###....#.###..###.#.#.#.####.#..#####.####.#.#####.##.#......#..####..#.#..#.#.##.#.#...#####...#....#.#......#####...###.###...##.#.#...#.####...#.####..#.#.#..#..#..#.##.####.#...##.#.###.....#.##.##..##...###..####.#.......#...##.#...#..#.##...#######.######..#.....#..#.##..#.##.##.##.#...#..#....#..#....####.###.##.#.#....#.#..###..#.####..###....#.....#.##.#..#..###.####...##.###.#...#....#...#..#.#.##.#....#.#####.##.##...###...#.#..####.#.####.##.########...##.#..#######.....##....##..####..####.##..#.##.###.#...##.#.#.######.....#.##..##..####.##..##..##.#.##.#######......#.#.#..#.#..#....#.#.#####...#.##...###.##....#.#.##...#.#.##...#...#.#.##.###.##..####.######.#####.#....#.######.###.#####.#.#.#.#.##.#...#.#..#.####.#.#...#..#..###...####.#.#..#...#####.##.#.#.#..#.#.#.#...###.#.#..###.##.##.###.#..#..#.##
#.##....#...#..###.#...#.....##..#...#.##.#.....#..#.#.....##..##...##.#...#..#..#...#..######.##.###......#.##.#.####.##.###.#......#....##.#.#.###.#.#..####..####.#####.#...##.#....#..##.#..#..#.#..##.####.#.####.#.##.#..##..##.####...#..##..#.....######..##.##.###.##....#..####.######.##..#.....#..#####.##.#..###.##....#.#####...#####.##.##.....##.#####..#..#..##...###..##.##....#####.###...#..#.#..##..#..#..#.##..##.#..#.###..##.###.#.#.....#.##.##....##..###.#.#...##..##.#..#######..###..##.#...##.#.#.#...#.####...#.#..#.....#..#..#..####.##.#..#...##....####.....###.#.#.....#.###..#.#.#..##....##..#...#.....####...##...###..#.#.##.#..##.....###...#..##.###..###.##.##...##..#.#.#####.##..#..#.#.#..###.#.#..#.##.###...######.##.#..#..#..#..##...####...#.#.####....#.####...#.##....#.#..##.####...##..###.###..#.#..##.##.##.#...#..##...#..#.#...##..#...#..#####...##.##..##...##....#.####.###.#####..##......##...###.##..###....###.......#..#.#..#.#####.####.#..#.####.....##.####..##.#.##.#...##.#..#....#...#.#####.#.#..#..#..#.##..#.###.#..#.....##...#..#...#..###..#...#.......###...###.####.##...##.#.#.#....#..##..#.###..#.......#.####.#.#.......##.###..#####.#...#.###.#......###.#..#..#####.##.#.#...#.#...#.###..##.#.##.......#.#...#....##...#..#.##..#..###.#.####.#.#..##.....#.######...#...#.#..##..#.##....#####.#...#...##.###..#.#.#..#...#..##..##...#.....#.#...#.#....#..##.#...#..#.#...####.#...#...#......#..#..#.##.#.##..#..##.#.#.#####.#####...#.##..##....#..#..##..#.#.#.....#..##.####....#..#.###..##..#.#.######.##.#.##...##.#####.######..#...#..#.##.#.#..##..#.##.#..#.#.#.#####.#....#..##..####.#...##.#.##.###.#.#.#.#####.###..#...###.#....###..#..#.###..##...#.###....###.###..#.#.#.####...#.#..##..#..#...##..#.#.....#.##..#.#.###.#.#.##....###.#.##.###..#.#....##..#...##....###...#####..##.#..####.#.#...#.....###.##...#....#..##.###..##..#.#..#....##.....##..#####..#.#..#..###.######.#..#.##.#..#..###.#.#..##########....####..#...#.#...####....#..#.#####.#
##.#.#..##...#..#.##.#.#....#.#....##.###..#.#.....#####.#...#...####.#.#..##..##...#.##..##.......#.#..##..#.######.###...#.#.##.#.#..##..##...#.#..##.##..#..##.##.####....#.#####.##...###.#..#.#.##..#......#....#..###.#.##.######.#..#.#####..###.####.....##.###..###.##..#..#..#.###..##.##.#..##...##......####...###.#.###..#..#..#.#.#####..###.#.#.#....#.#.##....#....#...##.##....###.#.#.##..###.###...##.#.###..###...##..##...#...#....#.###..#.....#.##..###..#.#...####..#...#..#...#.####....#...##...###.##.#....##..####...#..#.#....#.##..#.##.#.#.#...##..#..#######...##......#.##.#.##..#.##.##.#..#..####.#.#.###....##.##..###...#.######..#.#...##...##.####.#..#.#.#.#.####.##....#.###..#.##.###.....##.....#.##.##.....#......#.##.#...##..##...###..###.#...###.#.####.#######.#.#.###.####.#########..###..#.#.##...#....#.#.####....##..##..#.##.#####.#...#..#..#####.......###.###.#.#..#.......###.#######..#.#.####.#...##...####.#..##.#...###.##...##.##.##.#......###.##.##..###.#.#.......#.####...####.#####.#....#.....###.##.#..#.###...#####...##.####..####.#.....#.###.######.#....###..##.#...#....#...#.###....#...#....###.##.#..........#..##.##.##.###.#..#.#.##...##.###......#######.####.####..####.#####.##.#.......#..####.###.###...#.##.#..##.##.###.#.#...##..###...#.##...##.##.##..###....#..#.#..#.##......#.###.###.#.#....###..#.##...#.#.....#####..#.#...#.#.##.....##.##.#.###....#.#.##..#.#..##.###.###.##....##.#.##.##.##....#..#####.####..###.#.####.#....##...###.##..###..#.###..#...###..##....##.##.#.#..#.#.#.###.#.#..###.#.##...#...#####.##.#.....##..#.###..#.##..#.####.#..#.####..##.....#####...###...#.##.##..##.#.####.##.#.##.###.#...#..#.##..###.....###.#.######.##.....##.#.###.#.###..####......#...###.###.#####...#..#....#.##..###.##..#...##.####..#.##.....#.#...##..##.##...###.#..#.......#.##.##.###.#...####..##.##.####.####.....####.......#.#.#.##.#..##.#.##....#.#..#.##.#.....##.#...#..#.#..#..###.##....###.#.#.######..##..#...###....#######...#.#.......####
...###..#####.###..##..#.....####.###.#..###..#####.......#....##.##.#...####..#..#.#..#..####.#...###..#.#.####..#...##.#..##.#...#.#####.###.####..#.###.#..#.####...###.###.##.####.#.....#...#.#..#.#####.#####..##.....#.#.#####.#....########..#..#..##....#.......#.###.##...####...####.##...####.#.#..##.###..###..#...#####..#.#.#.##.##..#####..###..#..#..########.....####.....###.#............#.#..#...#.#..###...##.#.##.#.#...#...#...###.#####.....###.#..#....#.##..#..###..##....##..##.###..#..##..#...###..#..#......###...#.#..####..###.########.#.#.##..####....#.###.##.....##..#..##.....#.##....##...#.#.#.#.#.####.#####.#.##..#.#.....##.#####.##.#.#.#.####..#.###.###.##.#..###..#..##.#...#..#####.#.###...##.####..####.##.##.#..#.###..####....##..##.##.###...#.###..#.#.####.#.......##...###.#.#####..#.#..##...#.###..#.###.#.##..###...#..#....#..#..##.#.#.#..##.###..#.###..#...#...#...##.##...#..##...#..###..###.#...##...#.#....##.##.#.#.#.#....###.#...###.#####....####.....##.###....###...#.##.#.#####..#..##.####..#..#.###..####.#..##.####..##.#.####..#...##.#........#...#.#..#.#..#....#..###..##...#.#.####.##.#####.##..##..##.#..#...###.###.##.....#....#..##.#####...#.#####.#...#..#...##.##.##.#.....#.##.##.#.#.##...#...#..#.#..###..#..##..####..###.#..##.##..##.##########.####....#.####..##...#.#.#...######...##..#..#.#...#.#..#.##.#..####.#...#.###.#.#....#.#.#.##.#.#.....#...##...##..#.#####.#..###.#..#######.##..#..##..#...##########...##.#..##..###.#.#..#.......#.##....#.#.#.###..##.###..##.###....#.###...####.#.#..##....#.###.#.#..#....###...#.####.##...######..###..#......#...####.##.#.##....#####.###....##.#....###..###.##...##...####...#####......##.####..#....#.#.##.#.#....#.#.##.#....###..#.##..#..#...##.#.#..#..#.#.#....#.######..######.#.#..#.###.#.#..###.#..#..#.#...###.#...##...###..###.#.######.##.######.#..#.##.#...#.##.#.###..#.#.##.#.##..#..#.........###...####.###.#.#####.#.####.###.#.####..#.##....##..#..####.......###...#.#..#.#.####..##.#.#.
#.#.##..#..#....#.##.#.##.#..##..##....###.####....#...#...#.#..#..#.#.#.#..##.##....#.##.#.#..#.#..###.#.#.#..##.....#.....#.#.....###.#...##..#.###..###.#....##.#.##.#.####....#.#....####.#####.#..##..###...#.#.#######.#.....##...#..#..##.#...#.##.#...##.######.##.###..##..#.#.###..#...#........#.#..#######.######.###.#...###..#.#..#.##...#.###...###..#.#.##.###..#..##....#.#.##..#...####.###..#.#.##.#.....#####.##...#.########.####....##..####..#.#.....#..#..#.####..#.#.#.##.#..##..##.#.#.#.####.#....#..####.#..######.###.#...#...#.####.#.##..#...#..#...##..##..#.#.#.##.######..#####..##.###.##.##.....####.#.#######..#.##.#..##.......#####.########.#.##....##.#............#...#.##..##...#..#.##.####..##...##..####.......#####.##....##.##...##########..#.###.....#...###.......#.......#######..####...####.#....#####.##...##.##.#..#.##..##....#.##.#.##.##..#..#.#.###.#...##.#.#.##.##.#######.###...#..####..###..###.#.###...##.....####.#.#.#.#.#####.#.#.####..#..##.#.##...###.......#..##.####...##.#..####..#.##.####.#.#.#######.#..###.##.##...#..##.###..####...#...#.####.#.###.#.##....#..###..##...#.#..#...#.#..#.#.####...#.....#..#.##.##.###..##..####.##.##.##...###.##...#.#..##.#####...#..#..#...###.#.###.#..#.#######.....#..##.#.##..##.#..#.#.....#.###..######.####...#.........###.##.#.....#..#.#.##.#.#.###.#.#.#..#.#####.#.#.##...##..#..#.##.#..###.###.###.######.#...###..#......#............#.###...##.#.#.....##......#.#..###.#.######....#.##.#..####.....#.###.####.##.#####..###.#####.##.#...##.####..###.#.#..#..#.##..#.#.####.##..#..#.#...#.##...##.###.###..#####.##.###.###...##.....###..#.####.#.####.##...#.####.#......#.#...#.###..#...#...##.##.#..####.#..###.#####...#..#.##.#...##.##.####.##.##.#.#..#..####...##..##.#.#.##.###...#.#...#.#..###.#.####.####..##.##..##..####..#..#..#.##.#.......#...##.##.#.#..###.#..######.##.##.##....#.#...#..###.##.##..####..#.#......#...#.#.##.......#...######.#...##.###.#####..#.####....###...#.#####..#....##.....#..#..#.##
#.####.###.##...##.##.#.#...#.##.#.####.##..#.##.##.#.####..##.#..##.#.#.#..#.#...#...##..#.#..###.####.##.....##.####.#..#.#.......#..#.#....####.##.##.##..#.##.#..#..##..####..#...####..######...###.#.##...#...##.#....##..#####.#..#....#.######..##..#.####..#..#..#..###.#..###...###...#.#..###.###.#####...##.##....####.##.##..####..#..#....##.##....#.##.#..####.##.#.#..##......#.##.#######...###..#.##..####.####.#.##.#....#..##...##.#.##.#...#.#####.###.###.###.####....#.#.#.#.###.#...##.#..#.#####.###.#..#.....#.#...#.#..#..#......#...#..#.#..####..##.#...#.#...##...###.####..#...#.........#..##...#..#.#....####.#....####..#..###.#....##..#....##.##.....##.#.....#.##..##.#.#.##..#.#..#.####..###..###.#.###.#.##....#...#.####.##.##..###..##.#...###.#.......#.###....#.##.#...#...#.####.....####..#..#...###...##.###.###.#####.#....##.#...#........###.##.###..#####..#.###..#.##...#..##.#.....##.#############.#...###.....###.#.....#.......#...#..#.##.#..####...#####.....#...######..#.#..##.###..##..##..##..##.#.#######.#...##..#..#...##.##.###...#..#..#.##.#...####.##.#......#..#.##..#..#..##.######.....#.#.#...#.##..#.#####.###.#.########...#.#.#...#######.###..#.#####...######..###..#.####..###..#.#.##.##...#.#.##.##.###.#....#...#####.####..#.##.#..###.#.########.#.##.#####..#####.##..#.##.##.###.#..##.##.#....##.#.#..#..##..##.#.#..###...##.#.#.##.###.#####.##......##.##....##..#.#..########..##.#.##..###..####.###....###.#...#....#.###..#####.##......##.....##..###.##.#.##.#.####..#.#..#.###..#.#.##.##.###.###...#####....####....#.#.####..#.#.#..#.###.##...#..###.##.#..#..#######.##..##...#..##.....##.#.#.##..#.#.....##..####..####.#.#.###...#.##.##.##....####..####.#.######..#.##........##....##..#....####.#.######.#...#....#.#..##.#..#...###.#..#...#.#####.#.#..#.##.##...#.#....##...##..#####..####...#.##.#....#..#######.##..###.##..#.##.##.#####...#.###.##.#####.#...#....#.....##..#...####..#.##.....#..###.#..#..####..#.###.#####.#.#..########.##.#..###..####.
.###......#..#.###.#.#..#.#..###..####.##......#.##..###..#....#.##..######.#..#.#.####..###..##..##..##.###..#..###.#..##.####..#.#.#.#######..#.#...#.#.#..##...#..##..####.##......##.#.##.#.###.##..#.##.......##...###.##.#..#######.#.###########.#..#...#..####.....########.##..#..####....####...###.......##..#.###....##...#.#..#.###..####...#.####.#..#..#...#.###...#.#.#..###..##...###.#.###..####....###...#.....#.##.#.###.#....##....#..##.#...#.#.##.###...#.##.##..#.#..#.###..#...#.#...####..##...##.###..#.##..#####..######.#...#.####.#.#.....##.#..#.#.#..........##..##..#...#.#...#######......##....########......#.#.#.#.##.##..####.#..#...#.###..#..#.##...##..##.##..##.#.#.######..#.#..#....######..#..#...#.#..#...#..###.#..#...##.#..##.###.#.#..###.##.###.##.######..#.#....#....#######..############....#....#....###..#...#..#...###.#.#...#...#.........##..#####.#####.##.###..#.#.##.#.##.###.####..#.#.#....#.###.###.###..##.#.#..#.#.########.########...#.#..#...#..#.#..#....##.###..#.####..##...##.#.#.##.##.....#..##.#.#..#..#.#.#...#...#...##.#..#..######.#...###.##.##..#.#......#..##..#####.###..#.....##.#.##.##....#..###.#.####..##..#.##.###...###.##....#...##...#.##...#.##.#...#.#.##.##.....#.##..######...###....##.##....#...##.#.####..###.##...#..##.#..#.#.......#.##..#.###...#####.#...###..###.###.#.##..#....#......###.#..###..##...#.##..#....####..#......#.##....###.#..#..##......##..#.##...#...####.#.#..##.####.#.##.##.#.#.####..##.##...#...###.#......#.##.#.##....###..#####.#...##...##.....##.#.#.#....#.##..#...#..#...#.#..#.#.##.#####..###.##########..#.###.#..##..##..#........#.##..#....#.#.###.......##.##......#..#.#######....######...##.#..#..####.#.###.#...###...##.#.####...##..###......##..#.####...##.##.######.#.#.#####.#....#.#.#####.#...##.#..#.##.#.#..#####.#....###..#.#.#.#.#.#.#..#....###....###.##..#.....#..#.....#####...##.##..#.####.#..#.........#..#.##..#.##.#......####.#....#.##..#####...#..##.#.#.#.......###.#.###.##.#.##...####.#.#..#
###.####.#..##....##.#.##.#.....##.#.#.#.#...#.#..###.####...##.#..####...#...####..#..#.#....#..#.#.#..#..#.#..#....##.###..####.#...###.#...##.#...####.#.###..###.#.###..#.######.#.#.#.##..##..#.#..##..##....#.##..#.####..##..#..#.#...##.##...#..#.#.####.####.##...#..#...#.#...#..###...#.....###...#....##....####...#...###...###.##.##.#..##.##..#.##.....##.##....#..##.##....#...####.#####.##..##..#.##..#...###.##....##..##...#.....#.##..####..#.#.....##.###.#.#..#.#####...####.####...###...#..##..##.##..#.#...#.#.####.###....#......###.#.....##...#.#.....#.#.##..##..##.###.#.###..#....#...#..##..##.#...####..###.#.##.##.###.###......#........##..###...#.#...#.##...##....#..###..#.#......#.....####...##..#.####.#...#..###.#.#..#.#..###.#.#.#.##.#.#....##.####.#..#.#..##....###.##..#...#..#.#.##.##....##..#.#.#####..#..###.#...##....##...#.#....##.###.##.###.##..#.##.......##..###..####.....#..#..##....###....###.#..###.##...#.#..#..#.#.###...#.#.###..#.#..#.##.#.#..##.#.##...###.#.#.##..##.##.##.....##.###.#........#.#...######......#...##...#####..#.##.#.###.##....####.#.#.###..##.#...####..##..#..##.#...#####..####..##..##..#####.#..#...#.#.#.##...###.#..#####..#...#....#.#.#..#..#..###...#.#..##...##.#......#..#.###....##...#..#..###.#..#.#.....####.###.#########..##.#.#...#....#####.#...#.#..##.#..##...###..####..##.##.#...#.##.#.#...#..#.#..###.##....#..##.#....##.#.#..##..#....##.####.#..##...#.###...#.....#.#..#....#....#..##..##...#.#.##..######...#.#.###......#...#..##.#..#..##.#...####.###.##.#.#.######..#####..##.#.#.##.#.#..#.#......##.#.##....###.##.###.#...#.#..##...#####..#####.##.#....#...####..#......##..#..###.###..#.##..#.......####...#.#.#..#...#####.##..#####.#..#.##..##....###.#..##.#.#.####..##..##..#..###.##.#..###.###...#.#..#.##..##..###.#...#..##.##..####.###..#...#.##.##.#...#####.##..##...#.####..#...#.##.##.######.#.#...#..##..###.....#.#####..##.##.#....#.#.#..#.#...##.#.######..###..#..#.###.#.#..####..##....###.####..#..##.##..#####
.####..#..#.#.#.#.##.#..#..###..###.#####.#.###........##..#.#....#.##..#.##.#..#.#.##.##...###.####..#..#####.###....#.#.#.##.....##.###.##.##.#.#.#.########.#.##......#....#..#.......#.#######.##.....#.....##..#.##..##.####.##...###..##...#..##....#.##....#.#..##.#..#...#.###.#..#.#.#..#...#........#####.##.####..########.....##.#.##.##.#.....#.####.#.##.#..#..#.##..###...###..####.####.##.#.#..#.......##.#....#.##....#..##.##..#####.#...##.##..######...#.#.######.##.#.#.###.###...##.####..#...#.##.#.##.###.#...#.#..##..##..##.#.#..####.#.###.......#.....####..##.#.##.##.#.#....#.##...#..######..#.#...#.##..###.##..#.##..######..#######...###.###.##.######.#.###...#...##.#.#.#.#....##.....#...####.##.#..#.####.....#.#.##...#.##..#..#.#...#...#...#####..#......####.##.##..#.####.##...#...##..#....##.#..#.....##..#..#.#.#....#.##...#.#..#.#.##.#..#.####.####...##.#....#.###.#####.###.##.#####.#...##.#.##.#.##..##..##.#...#..#.#........###.#.###..#..#.##..#...###.###.###.......#.#..#.#########.#...#.##...#.#.#.##....##.#.#....##.#...#.##....##.#....####....####..#....##...#...#.#.####.###.#.###...#..#.#.....##.#.#...#####.####...#..#.#.#....#.#.#.#..###..##...#..#####.######.#.###....#.#######..#..#..#.#####..#####...########.#.####.#..##....#.#..#.####..##..###.#.#.##.#.####..........##.......########...#####..#.###...##.#.########.##.##.#.#.#.##.....###..#..#...####...####..###.#.#.###.#####.....#.###.#.##..###.#.#.##.#.....#.######...##.###.#..###..##.##.#...###.#.....#....#...#.###...###.#.#####.#...##.##.#.#....###..#######..#......###...###...####.#..##..#.###.###...#.#.##....#..#.#.#.#...#.#...###.###.#.#...###.###.#...#...####.##....##...#.#..#.......####.##..#####..##.....#.####.##..#.##....##.###.#.###....##.#.##.####.#...#.....#####....#####.####.##.#.#......##..#.#.##..#.##..####.##.#.#.##..###..#.###.....###.#..#.#.#....#.##.....##..#.##.#.#...........#..#.####.....#.....##.##..##.###..##.#.......#.....#.##..###..#.########.####..###.#.#####.####..#...#.
.#..#.##.#.##..##.#.##..#.#.#.####.##.#.#..##...#.######.#...#.##......####..#..#.#....##...##.#..####.......#.#..#.#.##.#....#.##.#..###.#..##.####..#.###.###.##...#.#.#.......####.#..###.#.#####.#...##.#..##......##.#.....##..####...##..#...##....#.#....#.#..####..#.##..##.#.#..####..###.#...#..#.#.#...##..##.#..#.#.###.#.#.####..####.##.##..###......#.##.###.#..#....###.#.#..#.##.##..#.###..#..###.#.####..#...#.####.##.#.#.#######..####.....####.#..###.#.##..###....###..###...#.####.##.###..#.##.#.##.#..##.#...#.#..#.#.########..#...##...##..###.#...##.##.....#...####..###..##..###.#...#.###..###.#.#.##.#####.##.##.#..#.##....##..#..####....#.##.##.#.#....#.##.##....######.#....##..#.#....#.#...###..##.#.#..###.#####.##.......#.#.....#..#....#...#.#.#..#.##.#..##..##..#.#....###..##..#####.#.###....###....#..#..####.#...#...#.##.###.#.#..##...#.#.#.##...###.##...###.#.###.###...#.#.#####.#...##...#.#.#.###.##.#.##.#..#.#####...###.###......##..##....#####.########..#..##.....##...#..#.#......##..##....##.#..####.##.##......#.....##.#...##...#.##.##.##.#..#.#...##.###.#...####..##.####..##.#..#..##...##..###.#.####.#.##...##.....##.#..#..#..#..#.####.####...####...##.#.#.....##...#.#.....###..####..#..#...#.#.#.#####.####.###.#.##..#......##....##......#.####..#...##.#.##.##.##.#.###..##########.......#..###.##..##.#..#.........##.#.#.###....#.##..#.#.##...##..###.########.##.###.##.#..#.......#....###..##.#..########.###.#...#......#...####.##.#...#..#....##...#.####.#..#.######..####.#.##.##.........#.###.##.##...####..##.#.##..#...##.#####...######.....##....###...###.##.#..##....###...#..##..#..#...#...##..#.######.#.####...#...######.##.###...###.##..#.###...#...###..####.######...#.....##...##....###.#.#.#..#.#...#.#####.###...##.###..#....###.######..##.#....##..#...###.##.....#.#...#.#..#..##..#...#####...##.###.###...####..#...#..###..##.#.#.#.####...#####.#.......#..###..#.##..###.##.##....##..###.#.##..#.##.##.#..#..####.#.....##....#.#.##.#..#.##.#.#.#
##....##..##.#.###.##.....###.#..#.##...#.####..#.#.#..#.#.##.##.....#.####..###.#...#.#..#..##.#.......#...#..#..#.#........#####.##.###.#.#..###....#.....##...#.#.#.#..##....###..#....###..##.#....##.#.#..##.#..##..##.####.#.#..#..#....#.#..##..#..#.##.###.##...#...#....#....##.....#.######.###..#..#.##.#..##...#...#######.#.####..####.#######..###.....##.##..####.##.#.#.......#.#.....#..#...#####...#..#.....##..###....#.#####...#..##..#.#.##..##.####...#..#.....#.##.#.##....#...##..#..#...###..#.##.###....#####..##.##.#.####.#.##.##...#..#..##.#.#.#..##.#####.##..###.######.##..###....#.##.###.##..#.#.######.#....##############.#.#...###.#.#.##.##..#.####...##.#####..#.#..#...###..####.#.######.##.#.#..###......###...#.##.#.......##..#..#.#..##..###.#...#..##...#...#.#...#.#...###.#..###......#.#.#####.##...###.##..#.....#.#####.#....##..#.#..#...#.#....#...##.#..#...####.####..#.#.###.#.#....##.##.##...#..#..#.#...##.#####...##...####.###.....#.#.##...##.##.#.#.###.#.####.#..##.....##.########.##.###.#.......#..##..####...#....#.......###.#.#..##.#.##.#..#.#.#.######....####.#..#.###.#####.#.#.###...####...#.......#.#..#.#.##....#.#####..#..##..#...###.#.####.######.#.#.###.####.####.##..#.#.##...#.####.#.###.##.##....#...#.#......#.#.##.#...##....#.###..##....##.##..#.#.#..##.#..#.#.#..#....#....###..##....#..##.#.#.#..#..#.##.#..#.##..#.#...#..#...#.######..#.##.##.#.##.##..#....#..#.....#.#.#.##.###.##...####...#..###.##.#...#.#....##..#...#.#.##..###.#...#..#..##.......##...##..###..#...##.#.##.##..##..##..#########..###.#....##.#...##...##.#.###..#####...#.#.#.#......###.#.#..##.##.#..#.#......##.......#.#####.#.####.#...#.#.##.###.##...#.#...#..##.###.#.#.#.##.##.#.####..#.....##.####..###.####.#.##.#..###.#..##..##.#.#.#....#..###.#.#...#.##.##.##..###.#.................#.##...#.##.##.####....#...####..##..#..###.###......##.......######..#.#.#######.#....#..#.#.###..##.###.....##.##.#..###.##.#.#..#...#######...#.#..##......##..##...#.#####..#.#.#.####..
.#...#......#....####.#..#.##.#..##.###.##.##....###..###....#.#.#...####.####.#.####.....#.#.#.##.#..##.####....#.##....##.#..#######.#....#.#.#....####.##..#....###.##.#.##....#.###....#..#......#...#.##..##.....#########..#.##...#..##.####.....#.##...#.###.#.#.#.......##.###.#..#....##..#.##..#.###...#.#.#.###..###.##....#...###..#.#####..###.......#.##....#..#.......#.#...#.###.######.#########.#...####.#.#...#....##....##.####..#..#######.###...#.#.#####...##.....###.######..#####....########..##.#..#..#.#...#.##.####.#.#..###..##...####.##...#..####.#..#########..#...#.#.######.#.#...#......#.###.#..#.###..###..#.#.########.##.#.####.###....#.#..#...#...##.#.#.##....#####..#..#.#..#...#....####.##.....#...........#..#..#....##....##.###.##..#.##...###.##.##.##...#.#.######..#.##.#####...#.#...#.#..###.#..##....##..#.......#.#...#.....#..#...###.#...####..#.#.##.#.#.....#..#####...#.#.#####.#.#..###.#####.##.##..#.....#.#..#...#.#.###......#..#...###...##.#...#.#.#....#..###.###....#..##..###..###.#####..##.#.##..#..#..##......###.#.####.....#...#####..##.##.....###...##.#.#####.#....#....###....#.#.....#...###.#####.########....#...####.###...###.#..##..##.##.###..###..#.######..##...#.##.#####.#####.##..###.....#..#####..#.##.##.####.#.##.####..#...#.#.##..#.##.##.#....#..#.#.#.#.#.#.#....##.#.##....#.#..####.#.#.##.#....#..#....#.####.#####.#.###.....##..#.#.##..##.#.#...##...####.#.#..####..##.##..#...##..##..###.#.#...#.##..#.####..#.######.....##.##.#.####..#.#...#.##...##...##...#.#.#####..##....#..#####...#..#........#.#..#.#..##...####.#.#..##.##.#.#.#.#...####.#....####.###....##.##.....###.#.####..#..##..##..####.###.###...###..####..#.#..##.####...#..#..###.####.###.#.#...#.#.#.#.#.#.########..###.#..#..#.##....##..##.#..##.##.#...#.#.##.#..##..####..##...###.#.#.....#.#......#..###...######.#.....#.####.##..###..##...######.#.##..##..#.#..##############..###.......##.#.#....#....##.#.#...##.#.###.##..#.##.####..##.#.##.####..###.#######....#.####.#
.#...#..####..####...##.#..##.#####.#..#.###.####.####....#.##...#.##...###.#..###.#......#####.##..#..#.##...#........#.##...#..###....#..##...#.##.###..#.##.##.###.##......####...#.......#.##....#..#.##.#...###.....###...#..#.###...#.#...#.##.#####.#.#.#..##.##.#.##.#.##...#..###..#..##.##.#...#.#.#....###.#..#####..##..#.........#.#.#.###.#####.##..##..###.#.##.#.###...#.#.#.#...#...#.....##.#..#..##.#..#.#.....####..#..#..#.#...#..#..#.###.#..###.#####...#.#...###.#..##..#####..#..#...#..##...##..##..##......#.#.##.####.#...#...#..#.#.#.#..#####..#.##..#.###..........#.####....####.#.###.###..#.#.##..#.#.#.#..##..#....#.##.......##...........##..#.####...#.####.#.........#..####....#..#...###.##.###.#.......#.###....##..#.##..#...#..#..#.####..#.#.#....#.#####.#......##....#..#.######.##.......#...####.#.#...#..###..##.##.#..######..###.#.###.#...###.#.####......##.#..##..#...#..########..###.##..##.#.#..#..#####.##..#.##.##.######.#.##.####.#....#.#..#..#...#.#..#.##...#.##...#..#######...#.#.#.##.##.##..#.#..###..#.#.####.###..#.#.#.##.#..##.#..#####..##...###.###...#...#.....###..###....#####.#...#..#...#.####.##.#....#.#.##.#..####..##.#..##.#.###...#...##..#.###.#.#...##..####.###......#..#.##.#.#.###..##.#.##.....###.#..#...##...#...#.######..#..#.##.....#.##.##.##..#...#...#.#..#..#####.....#.#####....####..#.##.#...#####..#....######.#.##....#..##.###.#...###..##..#....###.####.##..#.#.#.#.#..###..#.###..##...#..#.######..#...#.####..##......###..#...##..###.#..###.#..##.#.#.#####...#.##..####.#....##.#...##...#.#.##.###.#....###.###....###.##.####....#.##.#.##...#..#.##..#......#.....####...##..#.#.##.##.#####.#####.##.#....#.....###.#.##......#....##.##.##.##.#.#.##...###.#.###..##.#.##.#.##.......##....###..#..##..##..##....##.##..###.##..##....#.##....#...####..###.###.####..###.###.#.##.#.#.#.##.#.#.####.#...#.#######.#..##..#.##..##....#.....#.#....####..##.#....#.##.#.##....##.#.#...###.######.#.#.#####..#....#.#..####...###.#.##..####.##..##..###
.#.###...#....#########..#..#.##.#.##.#.##.##.###.###.##....###..##.#.###.###..##.#.#.....####..#..#.####..#.#..#.##.##..###....####...###..#..#...##..####.###..#.##.####..######...#..##.##..#.#....#.###..##...##..#.####.##.#..#...#.#..#####.#...##.##..#...#..##.##.####.#.####.##.#.#..###.##.####.##.#..##.#..####..#.#......##..###..#....#....#.#.#.##..#..#.#......##...#.....#.###....###..#...#...#..#.#.#.#.#.#.#.########.#####..#......#.....##...#####..#...####...##..##..#.#....#..#.##.###...##...#.....#...#.#..#..#...#.#.##.#.#...###.##.##.......#.##.#..###.#..##..####.##.##.#####..#.#..#.##.#.#.#.#..#.#.##..........#.#...###..###.#.#....#..#.#####..#.#.##.#..#....#...##.#...#......#...#####.#..#.###..##.#.###.###..#.###....#.#....#.#.#.#..#.##...##.##...##.#..##.#.#.#.###....#.#.##.#....#..#.##.#.....###.#.######.###.#.#...........#..#.#......###.#.#.##...##.##..#.##..#.#..#......#.##.##..#..#####.#.###...#.#..####.#.##....##.#..######.#..#...#.##.##..#...#.###..##..##.##.....##...##.###..###.....#..##....#.##.#.#.######....####..#.#.##..#####..#..##.##.#.#.#...##..##.....#...###..#..#.#.#..#.###...#..#.#.#...##.#####...#.#.#..###..##.##.....#.##.##.##.##...####.####..#..#..#.##.......#.#...##..###.#..#.##...##.##..####.###..####.##..##...###..#...#..#.##..##...#..#.#.##...##.#..#..##.###...#.#####.#.##..#..#.###.#..##.##..##..####...#..####.#...##.#####..#######.###..#....###..#..###....###..##...#...#####..###...#.##..##.#.#######.....###.#..#.##.###.#.....#.###...#.###...##.#..#.###..#.##..#.#.##....###.#.######.###..#..#.#..##.###.###.##.##..####.###...#.....####....#.#..#.#...#.#..##...##.......###...#..#....##.##.##.##.##.....#..##..##.#...#..##..#.#..###.####.##.#.#....####..####.##.#.###.#..#.###.##.##..###....###..#.#.#...######.##.####.##....##.#.##..##.#..###.........#.##..#####..####....#...###...####..####..#...###.#.##.##..#.#..#####.#.##...#.#.##..#.#...###.#.#.#..#..##..##.#..#.##.##...#####.....#.#......#...#.#.##......####...#..##...#...#####.###
.#..######.##.#....###..##.##.##....##.###....#...#..###.###..####.##..#..#..##..###.#...#.#.#.###.#.#....##..#.#.......#..#..#.#.####..#..##..#.#.#.#.#.##.....##.#.....###.####.....#..###..###..######..##..##.##.#.####.##.##.##..##.#.#.#...#..##..####.#...#..####....##..####..##...#.#..###..##..#..##..####.#..#..##.#..#..##.#...#############..##...#.#..#...##..##..##.###..##..#.##..#...#.####...##.#.##.#.#...#...##..####.#.###.########...#.#.#...###..#.##....#.##.##....######...##....##.#...##..##..#.##.###.#..##..#.####.####..##.#..#...#.##.##....##....#.#.#######.#..#..#.#....#####.#.#####.#..#...##.....#..#.#......#....###...###..#..#.###........###.##..##...##.########.#.....#..######..####.#..###....##.#.###.#..##.####.#.#####.#.####.##.##..##..#...##.#.###....#..###.##.#..##.##.#.#.#..#.#...#.#####.#.#....#.#.#...###.##..#..#.##.########..##...##..#.###...#.###...#.#..#.....#...###....##..#...###....##..#..##..#####.#...##...#####...###.#.....###.....#.##..##.#.#####.#####..#.#.####...###.####..##.##..##..##..##...#.#.#.#.####..##.#...#.#..#...#.#...###.#.######...####...#..#.##.#...#.#...###.##.##.#.##.#..##....####.#..###.#.#.##.#.#.#..######.#....##.#..#.#......#..#.#.#.#...##.#####.#..#....#.#.#####.###.#.#...####....#..#....#.#######..#.##.#.#####.#.##.#.#.#.#.#..#.##.##.###.#####..#..#..#........#.#.#.##.##...#.#..#...#.#.##..#.##.#....#.###..#....##..##.##..###...#..#.##.#####..###.#.#.##..######.#.##.###.#.###...#.###.##.#.#....#####.##....#.#..#..#...#.##.#.#...##.#..###.###.....#.##...#.##.###.#.....#.###.#..#.##...###.#...######....###..#...##.###.##....#...####.#..#.###...#.#.#..##..#.#....###.....####.#.#..#.#.#..#...#####..###..######...##...#.#.###......#..###.#.##..#.#.###..##.##.#.###....####...#..#.########......###.###.##...##.....#.....#.##...#.#......#...#...##.##...####..#.##.##.#..#..##.#.##....##..#...####.#.#####..###..#.#.######.#...##.#.##.#...####...######.##..##..####.....#####...#.##.#..#.#...##.##....#.#.##..#...#...#....#.#.#.#
#...#..#.##.#.......#..#......#......#####..#.###.###....##.##......####...####...#####....####.#.#..#.#.###..#.......###.###..#.#...###..##.#..#..####.#..###...#.#.###.##..##.#.#.#...###..#...###..###...#.#..#.#...#.####..#.#.######.###.####........##..#..#....#.#..#.###..###.##.###.##.#.###.......##.######...#..#.##..#..##........##.#.#..###...#.##.##.#...#.##..#..##..#.#.##...##..#.....####.####....#......#.#.##########.##..#..##.###.#..###..#######.....####....#####.....#.#.#...#...####...#.##.#...#####.#...###..###.##.##.#.##.###.#.#..#....#...######.#.#.#..#...#...#........#...#.##...###....##....##.#..#..##...#######.#...###..###.##..##...#...#.#..####..##...####.....##..###..#.#..#...#.##.#.#####..#..#.#.....##.#......#..#.#..######..###.#..##.##..######.##....##.##...#.#.#.#...#...#.....#.##...####...#...#.###.#.#.####.###.#..#..#..#..#.#..#.##.##.##.#####...###......##..##..##....#...###.....###.#.###.......#.####..###.....##.##..#.#....#....#.#......#.##.......##..#.#..#....###....#.#....##.#....###..#.##.#..##....#..#.......#..##.##.##.##.###.####...#.###.##.##.#...##...###.##........#.###...##.#..#.....#..#.##..#.#..#......#.#.##.#...##..#...######....##..........##..###..##..##.#..##.#......#.#.########.##..#.#..##.####.#.###...##.######...#....##........#..#.#.###.#....###..#..#.#.##..#..##.####.#.#..##.##.###...###.#.#.#.....#.####.....##....#.#.#..##..#..####.##..#.###.#...###..#..#..#.#.#..#.##.#..##.###..##...####.##.....#..#.....#..##.####.#...#..#..#.#....#.###...####.##.#.#.#####...###.#......###.##.###..##.#.#.#..###..#..#.##.##...#..##..#.###.###..#...##.#.##.#.##....#..####.###.##..#.#.#..#.##.#####...#.##.#.#.###.#.#...##..##..##...###.##.#.#...##....#..#.#.#..#.####..##..####.####.....#.....#.#..####.###.###.###....#..##......#...#...##...###.###...##..##..#.####.#.#.##..#.#...#..#..##.#...#.#.#.###.#..###.#####.....#..#..##.#..###.###..##.#.##...##.#...#.##...........##.#..#.###....#.......#..#...#.##.#..#.#.#...#..#...#####..#..##.#..#.#
.##..##....#..##.#...#.##..#....#.....#..###..##..#######.#.####.#.#.#....#..#..##.#....#.....######.#.#.#.#...#.##..#..##.#.#.#.#.##..#....#.###.##.##.#..#.####..####....###.##.#..##...#...##..#.##....#.#.#####......#..###.#..####.#.#.###...#.###.#.....#..#####.###.####.....####..#.#....#...#........#.###.#..#...##.##.#.#..####.#...#.#.#..###..##..##.##.###..#....##.#.##..#.#.##..#.#.#.######.###.###.#...####..###..###...#........#..#.##....#.#.##...##.#.#######.#..#......##...#..######..##.###.####..#..##.##...##.#.#..#.###..........#..#..#.#..#.###.###.#..#.#.##......#.##.#...###.##.#..####.###..#...#..####..###...#.#..##...#...#.#..##..#.#####.#.##.####...##.#....##.###.#....###.#.#....#..##.....#.......##..#.#.##....##.#.#..####.#..#...#..#.#..#.#.#.##..#....#####..###..##..#.#.#...#.#.#.##..#..#.##..##.##..##......##..#.#.#..#.....#.....#.#####.####..#.##.###.#....##.####..##.#...#..####.........##..#...#.#.##...#..####..##.#....##..##.###..#....#.#.#######..###.###.#..#.####..#......#....##..###..#..##..####.....##...#....#......#.##.#.##..##.####....#.##.###.###.####.##.....###.####....#...#.#..##.####..##....#.##....##..#.###.##..#.###..###..###..#..#.#####....####........##.#...#####.#####...##.#.#..#.#####.##.#..#.....#.###.##..#.###.#.#.#.##...#.##.#.##.#..#...#....##.....#.####.#...#..##.....##.....##.#.#....#...#...##...#.#..#.######.#..#...##.###.#.###..##....####.####.##.#.##.#..####...#####.##..##...#..##...#..####.###.#......###..##.#..##..#.######...###....##.###.##.#...#.#.#....######.#.##...#..##..#..###..##....#......#...##..#..###...#...##.#####.....#..#..#..#.##..###...#.###.###...##....#####..##.####.#..#.###.#.##.###..####........###.#.###...#...#...#.##..#...########..#..####.##.##.#....###...#...####.#.##.##.#.#...#...#.###.###.....###.#..#..#.#####...#.#...######.######...#..#.#..###..#.#...##..#..#..#.#..#.....#.#.#..##.##..###..#.#...##.#.##...####..#.##..###.##.#..#.#.###.....#..#.#...#..#........##.######..##.###....##.#......#...###
###..##.#.##..##..#.###.#.#...#..##..##..#.##.#...####.#.#.#.#.####.#...######.###...###.......#...##.##.....#..##.#.....#..######.#####...#.##..#..#####......#....#.#.####.....##..#.###.##.###.##..########.#.##..##.####.#..###.##..#.#..#...####......#####.......##....#####.##.##.#........#..##.#..#...####.##....#...##.##.###.####.#.####.#...##..###.........#.###......#.#.#.##......#...#.#..#..##.####.####...###..#..###....#.#.##.#.#..###....#.#.#...####....#..##.#..#.#.##.....##.#.###..###.#.##.#.#..#...###..#...##....#....#....###....#......#.######.#..#..##.#########..########.#..#.########.#####.###........##.#......##....##..##..##..##.###..#.####..#.#.##...##.##..#.#.######..#..#.#...###.#..##...#..#...#.######...####.#.#..###....#..#...#####..######.......#..#...##.#.###.#.##..#.####...#...####..#...##.###.#..#.##.##.##.####.##.###.##...#.#.#..#...#.###.....#..####..##.##...##..#.#.##..#..#.....########.##.####.#.#.##.###.###.##..#.....#####.#.#.#..#.##..#...#..#.##.###..#..###.#..#.##..#.....####....#####..#.#.#..#...#.#...####.###.#...#..##.###.#.#.##.##....#####.###.####..##.#..#..##..#.#########.#......#.#..#.####.####.#..##...##...#..###.#.#..#...#..#.##......##.###.###.#..##..####.##..#...#.##.#.#...#..##...##..##########.....#.####.#...#.#.######...###########.#.#.##.#...##.....##...###.#.##.#.##.##.#.##..#........##.##...#......#.##.#######...###..##.#.#.#.#..####..###.#.....#...###.#.##..#.....#..##..#..#..##..#..#.####..##..####..##.#####.##.#.#....#.#...#...#####...#..##.#.#####..#####.##..#.....#.##..#.####..#..#.###..#...#.##..###..##...##.###..#.##.##.##.#..##.####..#.#..##..##..#..#....#..###.####..###..#..##.##...#.#...##..##.#.####...##.##.#..#.#..........#..#.##.#.#...#..#..###.#..#..##..###....##.....#.#.##.###.....##.###.##..#.####..##.....###...##.##.#..........##.#..###.##.##...#.#.###.#.#.####..##.#.#.##..#...#..#.......##..##..###.#####...#.##...##.....#####...#.######.#...##....##..###.#.##...##.#..######...##.##.##.....##..#..###.###
#.####..#.#.......#......#.#.####...##....###...#....##..#.#...##.##..#.#.#.##......##.##..#.##...##.##.##...#...#..##..#..###.###.##...#...#..#......#######...#.##.#.##.#.###...#..###...#.#.####.##...#..##...#...###...##.###..##.##.#####.......#..##.#....#####.##.###...#.##.#...##..#.##.#..##.###.##.#..##...##...#.#.#...#.###..####...###..#..###.########..##..##...#.#..#.#....##.....#.###.#..###..##.#.##.#....#.....##..###...###.##.....#....###..#.#.####.#...........#####..#######..#.##.###.####..#......#..##.#..###.#.#..#..###..#.#..#.####..####.#..#..###...#.#######.###...####.#..##..##..#.#.##.##..#..#.#.#....##......###..#..###..##......######.###...#.#.##...####.....##.#....#.##...#####.....######..####.#..##...####..####.#..##....####.#.##.##.##.##..####.##.#.###.#######.##.###.##...#.#....###.##.##...##..##..#...####...#..#.#.####.#..##.##.###........#.#.#.......#.#..####.#......#..#.###.##.###.......#.#....##..#.##......#...##.###..#.####..####.##.#....#.##.##..#..##..##...#.#####.##.###....####....#.#....#.#..#...#.#.####.#..#...#..####.#.##.#####..###..##..#.......##.#.##.###.####.##.###.#.#..#..#..##.###.###.#...##.##..#.###..###..#.#.#.##..###.###.#.#......##.#..###..####.######..#.###.....#...#.##.##.#..##.....#.#.##.####..###..#..#...#.#.#..###.#..##..#...##..###.#.####.##.....########.#.#.#.###.##....#.####..#..#..##..#...#.#..#..######....##.##...#...##.######.....#..##.#.#...#.#.#.#...#..##.#..###.#.....#.###.##.#..#..#..###..####....#....#.#.###.#.#..#####.###.#..#####..#..##...#.#####...#.##..##...##.###..#..#.##.###..##.#..###.##.###.##..#...####.####..########.....###....#.#.##...####.#.#.###.#.#..#.#.#..#.##.#..####.#.###.####....#######...#.#.#####..########.####..####.#..#.#.#.###..#..##..###.#..#..#.#...###...###.#.#####...#.#...#..##.#...#####..###.#....##.##...##.######..#..#####..#......#.##...#.#....#.....#..#..#...#..###..#####.##.###.#.##.##.##..###...#.#..##.####.#..##..##.#.#.###.###..##..#.#..###.#..###.#.#..#..#.#.#.#.#..#.......#
.#####....###..###...#...#######..###.......#...#.##..#...#..###...#..####.....##.###..#..........#...###..#.###...#.#.######.#.#..#..#...##.##.#...#..##..######.#.#....##..####..###...#..#.#.#...##.#.#.#.#####.#...#..###.####.##.#...#..###..##....##..#.#.#...#..#.#..##...#..#####..#...#....##..#.###.##....###.######.#.###.#.#.##.#####..#.###..##..####....####........#....##..###..#####.#.#....#.#.#..##########.###.#..###...#.#####..#...#####.###.#.##...###...####...#####..##...##.#.#....#.#....###..##.###..##....#...##..#.##.#.....##.#.#..#.#.##..####.##.........##...#.#.#.#.##.#.#.#..##..##.#.#.####.#.#.#####.##.##.#.#..######.....##..##.....###....###..##......#.###...#..#...#....#.##.....####.#...#######.#.#.#......##.##.###...#..#..##.##..###.#..######.#....##...##.#.####.#.....#.#.##..#........##...###.#..######..#.#.##.#.#.#.#.###.###.#...##.##..###..##..#.#####....######.....##.###...#..#.##..#.###..###...#..####...#####..###..#.##...#...#.#.#.......###...###.#..#..##.####.#.###.#####.##....##.##.#.####.#....#..#.###.#.##.###.##..##...###..#.##.##.###.##.#.#.#.##.##.##...#.#.....#..##..####.##.#.####...####.#.####.##...##..###.##.##.##..#..####...#.#.#......##..####......###...#.#######..###.#..#.#####.###.####....##..#....#.#...#...###.#####.#..######.#...#.#.#.##....###...#...#...#.#######..###.##.#.##.#...#..#.#...##.#.##...#.....#.###.##.##.##.#...#.#...#...###.##.####....#.######....#..##.##..######.....###.#...##.###.#.###..#.#.###...#.###...#.#...##..#..#.##.#.##......#.#.##..#..#.#..##.#...#####..##.#..##.....##..#...#.#....##.#..##..####....###.##...#.......##......##....#.#.####.#..#..##.#####.###....###.##..##.#.###..#.#..#.####...##.#.#...#.#..###..#.....#.#.#.#..###.###.#..##.##....#..##.###.#.###.#...#.#.##...###.###......##.#.#...#.#.#..###..##.##...##.##.....#..####..#...#.##..##.#.....#.###........######.##...#..##.#.####...#.##..#..#.#.#.#...#...##.###.###.##....##..#####.#...#.##.#..#..##.###.###.###.#..#.######.#.#.##...######.#..#.#..#.#
.#..#..#........#.####......#..##.##...#..##...##.##..###.###...#.####..#...##.#...####..#..####.##.#.####...#......##..#.#..#.####.#..#..#.#..##...#.#..#.##...##..##...#.#..#.#.##.##.##..##....######..######..###..##..#.#.#########.#####...#.##...###.#.#..#.#..#####.#..##..###.#.#........#..####...###.#.##.#..###.#.##..###....#.##.....##......#.##.#.##..#.#..#..##.#..##..#.##.#.#.##.#.#....#....##..##.#...###.#..#..#....###.###.#.#.####.#.###.#.#..#...###..#.##....######.##..##...##.##.##.###.##.#.#...#..#.#.###.####....##........#.##.##.#..#.#.#....####.......#..##..####..##....#....#..###..#..#.#.######.#.#.##..#.#..#.##..#......#....#.....#.##.#.......####......##.####.##.#..##.#..#.#..##.##..#.#.#...###.##.#.#####.#.#.##...#.#####.#.#..###..#..#.#.#..#..#....##..#..#...###..#..##....#....#.####..####..##.#..#.#######....###...#.#.###.#...#...#......##.###.#...#.#####....#.##.##...#########.##...#.####..##..#......#.....#..#..#####.#..######.#.#...###.##..####.#####....#####..#.#..##......##....#....##...##..#...#.####.##.......#.##.####..##.#...##...#....#...########....#..#....#.#....###...##.##.#....######......######.#...#.####..#.##..#...##..#...#####.....##.##..##...#.###.#.##.#.#...#...#.#.#..#.......#..##....#.##....##.....##.#####.##..###..#.###.##...###.#.##.#.#.#..#..##..#.#...###.#..#...#.#.##..##....#.#.#.###...##..#.##..#..##..######...#####.######..##.######.#..#.#..##.###..#.##.....#.#.####..###.###..#........##..#.#.....#.##..#..#.###.##.#.#..#....#...#.#####..#.#...###.###..#.#.#.#.#...###.##..##.##.##.###.##..#..#.#.#.###.##.#..######.#.####....#...#..#.#.##......#.#...#..#.##....#..##.#.#..#.#.#.##.#....#....##..#..##..#..#.....##.#...##..#..##.###.......###....##..#.........###...##..####..#...#.#..#..#.#....##..#...#.##...##......#..####..##.....##.##..###.#####.###..##.####......###...#..##.#.###.##................####.#####.##.##....#...####....###..#.#####.#.#####...#.###.#.#.#..##....#..##.#.##...####.###.#....#.#..####...###...#...#...
###..#..##.....##.##..#.#.##......#...#.#######.##..#.#.###....###..#.####...#...#.##.#.#.#..#.##..##...#....###..#..#.#####..#.##..#..#.####..###....####....###..#.#..#....#..#.#.####..#.#...###..###.#.#..#..#..#..#..##.###.#.#.#..##..##.##...#..##.#####..#..#..##.#.####.####.#.##....##.....#.#...#.#..#...#.#....#.#.###.#.#..#...##..##.#.#.####..#..#...###.#.###..##.###..##..#.#..#######...###..#..###.##.#...##.#.######.#..####.#..#.#..#..#....#..#..#.###.#..#.###......#..#.#######...#####.#..#.###.#..##..####.##.#...#.###.....####.#..###.###...###########.###..#..#.##....#..###.##......#.#..#..#.#######.....#..#..##..###..##.#.....###...##....#.###.#.#...#..#...#.#.#.####...#...###....#..####.#..#.##..#..#.......####.......##.###.##.####.###....#.##.....#.....#.#...#...###.###...###.#####.######...###....##..#..#...#.###.#..#..###.#####.#####.#.....#.....#.##.#.#.#....#....#.#..###.#.....###...#.#.#..##.###.#..#..#..#.##....###..####...#...#.#...#..###...###.#..##..##.######..#..#.###.#.#...#......#..#.#.#...##.#.#.#.##...####..#.####..#.####......####..#.#.#...######.####.....#..#...####......###.##.####.#...##....#.#..#####..####..##....##..##.#..###.#######..##.##.#..###..###..#..#####..##.#.#..##.#...###.#...#.....##.###..##..#.##..###......####.#.##...##.#.#...######..#..##.#....##########.....##.#.#..#..##....##...#####..####....#..##.#.##.....#..##.#.....#.##..#...####..####.##....#.##......###.##.#######.#..#.###...#.#.#.####.##......####....####.######..##..#..#..#....##.....#.#..###.#......###.#..#.#.#.##.####.#.#.##.#.##.##..####.##...#######.##..#....#.#.##..#..###..#....#.#...#.##.##..#...###.#.#.##.#.....##.#...#.#.#...#..#....##.##...#.#..#...#..#.#####.###.##.####..####.##..#.##.#####.####.#.##..#.##.###..####..#...#........#.###.#.###..######.#....##.#.##..#...#....#.#.###.....#.##...##.....#..##..#..#.#..#.###.##.#.###.#.#....######.#.#.#..##.#.#..##.#.#.#..#.##..#####..#..#.#.##...##...##..##.#.#....#.#..####.#.##..#..#..#.##.###..#####.#.#...##
#.#.##.######.#..####.#..#.#.##.#####..#.###.#..#.#.##...###.....###..#.#..##...###..#.#...##..#.##.##...#..#.#.##.#..##...####..##.#....#.#.#...##.##.#.#.##...#.###..#.#.#.##.....#.##.#.#...###.#.....#..###.#.##.#.#..#.##.##...##.#...#.#...########.#.#...##..#.##....####.#.##.####..###.###...##...#.##......###.#.#..#.##.#.#..###.####.....#.#.##....##.#..####..#.######..#...######...##.#.....#..#...#.....#.###...#..###.#...#.#.#.###...###.##.##........##...##########..#.##.##.#..#..###.#.###.#.##.#.##....##...##.#........#.##.##...#####..##.#####.#####.####....###.##.##..###.#.##.####.#.##..####..##.....####.#.#..###..#.####.#.###.#.##.#.............#..#.#..#.####.#.##..#.##.##..#.########..###....#.#.###...###.#.###.#.#####.###.###......#.##.####...##.##.....#.....###...#..#..####...#####.#.#.#..###.#..#...#######..##############..#..#...#..##....#.#.#..#.#.##..#.##..##..####.#.#..##.......####...##..#######..##..#####.#.#..#.#.##.#.#...###.#.#..#.###.#..###..#....#...##.#..#..#.###.#########...#..#.#..#...###..###..####.#.#.##...#..#...##.#.##..####.###.#.#.###..##...#..#..#..#.###..#..#.##.###..#..###..##.#.#.#...#...#....###....#.#.###..####...##....#.###.##..#......#####.##.#..#..##..###....#.#.##.#..#####.###..##.#.#.........#.#.#...#....##.#.###.#.###.#...###.#..#.#..###.##.#........#.##...##.#..##.......##.##..#....#..##.#....##.##.###..#.##.##......#######.##.#......###...##.#.##.#...#..########.#.#.##...#..#..###..#.##.#....##..####.#..##....##.#..###.##..#.#.....#####.#..###..#.....#.##...#.##...#...####.##.#..#..#....##..#..##.##..#.####...#.##...#..#..##.#.###.####.#...#.#...###.....###.##.##.##.###....#####.#..####..###.#.#.#####...#.#.##.#....##..#..#...#.......#....#..#.#####.#.#....#.#.#.##..#.####....##.##.#.##...##...##.####.....####.#.###.##.##....##..##.######.#....######....#..##....#.####...#.##.##.######......#..#######..#.#.##.#.#...##..#..##....#..#.#.#.######.##.##.#.#..#.......##....#.#....#..##.#......###.##.#####.#..#.....#....###.#...#
.#..###..#.#.##.#..#.#...###.##.#...###...#...#...#..#...#...####.###....##....#.#.#.######....#....###.#.#....##..#.#..#.#.#..##..........#.#####.###########.#...###..#..#.#.#..#.##...######..#...##..#.##.....##..##..##.##...#.###.#.#.....#.#...#....#.#..#.#.#..#...###...#....##.#......####...##....#.##.#.#.######......#..#.##.#....##.#...#...#####....#..############..#.#.#.######..###...##.#..##.#####..#.##..###.###.###.#.....##......##......####..#..##..##.#....##.##..#..#....###.#..##.#.....##...#.###.##...#....#.###..##...##.##.#..####.#.##...##.#....###..#...#.#.#..#.###..##..##......#....###.###..#.#..#.......#.###.##..##...##########.#..##....##..###..#.#..#...###....#.##.#..##.###.##..##.#####.##.#..##.#####..###.##.####.#..#.##.####...#.##....#.#..##.#..##.#.#.#..#..#..#.##.#..##.###..##...##..#.....#.##.##.#..#######.#.##....#.##.....######.#.###.#..#####.#.##..#######.#..###.#########.#..#..##.#.######.#..####.##.##.#.#..#.###....####.....#.##...#####.......#.##.##....#....#.###..#.#...#.######.#..#...#.#.###.###...###.#.##...####.###.###......#####...####..###..#.##..##..#..###.####.#.#.#...#..#...#.###..##...##.###.#.#...#.#..###..#..#.....##..#.##.##..###..##..#..###.#..##..###..#####..#####.#.#.##..#.#..###..########.#...##.##.##.......##.####.#....#....##..#.####....#.##...##.#####.#.##..####...#.......##.##.#..#...###...#..#..#..#....####..####...#...##.#..#.#.###.#.###...#...#..#.#.#.#.....###.....##...##..#.###.##..###..#......#...#.###.....##.##.#.#..#..##.....##.#..#.#####..#####.##.##..##..#...###..########..###.#..#.###...#.#.#...#####.##..#.##..#..####..###.##...##..##.....#.#...#..##....###.##..##.##.#...#..........#..#....#..#.##..#.#.#.#.#.#####......#..##.#...#.#.#...#....#.#..##.#...#####.#.#..#...#.####..##..##..###....###...#.##.#..##..#####..#.#...#####.#.....#..#######.###.#.##.#.......#.#..##..#.###..#.####...#.#..##.###........#.#####.#.##..#..#.#..##.###.##.##.##.#...#.###...#..##.########.#####.#.#..##...#...##..#..#.#.#....#.#.
##.#.#..######.#...#..#.##.#..###....#.#.##.#..##..##..#.#.#.#........##.##....##....#####.#....#..#.##.#.#...#######.#.##..#....#..##...#####.#.#..##...##...###.#.#..###......####..#..#..#####....#....##.#.#.#.##.##.#########..##.#.#.#....#....##.####.##..#####...##..####.....#..###.#.#.....#..#.##.#.#..##.#..##.##.##...#.###....##.#..#.....#..##...###..#.#....#.....####.###..#...#..##..##...####.......#.##..##...#..#.#...#....###...#.##.#...##.####.####.#..#.....##..##.#..#.##.##.###.##.####.#..#.##..#.##....##.###.##.#....#####.#..##...##..#..#..####.#..##.##.#...##.##.###.#.###.##.####..###.#..#.###..##..#.###....##..##..#######.#.####.###...#.##.#.#....####.#...##..#.##..#.#.###..#.####....##.......#......#.#....###..##.#.#..#.##..#.##.##.##..##..###.#.###.#.......#.....#.##.##.#.#.#..#.##..##.###...#.##.###....##.###.#..#.#...####...#.####.##...###.####.###...#.#.###.#..#.#.......#.#.#..###...##......###...#..##.#.#..##.##..#.##..#.....#..###.##..#...#.#.##...##..###.#.##....#.##..#...#####...#.#.....#.#..##..##.##.#.####.#.##.#.##...###..####..#.#..####..#..###..#...#.#####.#.###.#.###.#.......#..###.####..#..#.#.##.#..###......#.#..##..#..###..#..#..###..##...#..####.##.....#...##.#########.###.#..##.#...###.####.#....##.#.#.#.#.###.#....####.#..#.#####.###...#.#..#....#.####..#######..##......###.#..#.#.###.#..###..##.....#...##.#.#..#.######.#.....##.##.#...#..######..#..#.#.#......####.#.##.##..#...#.#....#.#..###.#....#....#.##.#...#.####......###..##.#...#.###.#...#.###....##..##..#..##.#.##.##.#...####..##...####..###.....#....##.###..###.#..#.#...##..#.#..#....##.#######.#.#...##..#.#.###.###.#.##...###..##.#..##......#......#..##.....#....#.#.##.#.#..#.###...##.###....##.#.##....#..#..##....#.##.#..#.........#..######...#.#.#......#..#....##.#.#..#.#..##.##...#.##.....##....##......#.#.#.##..####.#.#..###...########.#...##..#.#..###.##.#..###.###...##.#.#.#..#..##...###..#....###.#....##.###.###...#..#.#####.###.###...####.#..#.#######..#.##..##..###
##....#.#...#...##.##.#.#####.######..###..###...#.#####..##..#....#...####.##.#....#.###..####..###.....#.#..#.#.#..##...##..#######..#.#...#...#..#.#...#....###...#..###.##..##...##..###.#.#####...##...####.#..##...#.#...###.##.##.#...###.######..#.......####.#...###.##.##..###.#..##.#.#.##...#.##.#..#.#.####..##..#..#.#....#.#.#####..#...#####...#.#...#....#..#...###....####.###.#..##.#..###..###...#.####.#.##.##..#...####..########....#...#.#.#.##...##.....#.....#.#.#..#....#.#.#..###....##.#....#.####.###.#.#.##..#.#...#........##..###....#.#.#.##.#.###..##.##.#.....#.#.##..##.#....######.#.#.#..#..##.#.#####....#........#.#...#......######.##.#.####.#..#..##..###.#.#...#.##.#.#.####.#..##..###.####.###...##.#.......###.#.####..#.#...#.##...#...###.###.#...#.##.###......#..#.##..#.#......#.#...##..####.#.#.####..#.##.##..#.##...#.#########.#....#.....#.#..#...##.##.#...#.#.#.#.##...##.##.##.#..#..#.#...#.##...#.##.#.##...##.#.##..########...#...#.###.##..###....###.####....#..##...#..##...#.##..#.#...#..##...##.##....##..#..##.#...#..#.###..##.####.#...#.#.##..#......####...#.#.##..###.....#.##.#......##.#...##..##.####..##.#......##.#..#...#.#..##.######.#.##..##.##.#####...#.##.#..##..###...#...#....#.###......#.###.####.#.....###..##..#.##..#.#####.###..#...#.###......#..#.#.#..###.#.##...#.......#..#.#.##..#..###..#..####.######....##.#.....####.##.###...#.##......##....#.##...#....####..###...#.#.#.#.#.#.####.#.#..#...#.##..###...#..#......#.#..#.#.#.#.##.##.#.#.#.##.#....#.....##.##.##..##.#.#.###.####.#...#..#...#.#..#.#..#####.####...###..#.#...###..###.###..#...#..#..#####.##..##..##...##...##...##...##.##...###.##.##...#.##...#.#.#.#####...##.#.....#.######.#.#...#.....#.#.#..#.###.#.####.#..###....######..#..###.#....##.##.#.#...#.#.#...#.#..#..#..##...#....#..####..#.#.#..#.#.#.#.....###.#####....#.##....##..##..#####..#####.###.#..#.#..##.##...#.#..##.#.###...#..####.#.##.####.#.#.###..#..#.#...#..##.#..##.###....#...##....#..##.#..##..##...#...#..
..#.#.#...#...###....#.##..#.#..#.###.####.#.##.##..#..###...##...##...#...####.###.#...####..###..###.#.#...#....#..#.##.###.#.#...#..#..##.#.##...#.#....#.#.####...##.####.#.###.###...##..#...##..#..####..#.####..###..#####....#...#.....#..##..#.#####.#..#.##.#.###.#.##....#..####.#...#.#..####.##..####.#.#..##..##....########.#.....#######......#.##.####.####...#.#.##...####..#..###....#..##.......#..#.###..#..#.#.#.##.###..#####...#.#.##.#.#....##..##...#.#.#..###.#.....#..###........###.##.##.#....###.###..##..#..#..#..#.#..#.##.#.#.....#.###########.###.#....#..#####.####.##.#.###..##....#....#...#.#.#..##.##..#.########....##...##.#####..#.#.##.##...#.##...##..###...#.#...##.##...##.#..##..#.#.......#.#....#...#.##.###...#......#.#..#..#.#####.#.#.#..#...#..##...##.#.##.#.#...#####......##.....###.###..#######..#...#.#.###.#.#..##..##.##.#......#...#...#.##.........#.#.#.#..#####...##....#.###.#......#..#.####...#..###...##..###.##.....#.#.###..##..##..####.#...#..##.##....#.....###..####..#...###...#..#..#.#...#.###.#.#..#.##.##...###.#..#....###.........##.#..##.#...##.....##..#..#.#..###.#.#...#####...##.######.#..#..#.....##.##.#...#..##...##.....#.###.#.#####.#.###.##.###.##.######..###.#..######..##..#.#.##.#..#..##..#..#.#.#..#.....##...##..#####.#..#..#.#.##.#.#.#.#.####.#.#....#####.##..##..##.#..#.###......##...#..###.##########...####..###.#.##.#####..#.#.####.#.#...##....####.##...#...####..#.##.#..#...##....###.##...#..#.#.#..###.#.##.#.#.#.##.###..###.#####..###..##..###......#.##....#..#.#..#..###...#.##..###.#......####.#..##.###.###........###..###.##...#.##.#...#.#..##..#..##.###.##...#..#...#.#.....#....###..#..#####.########...###...###.#...##..####.....######.#....#....#.##...#...#####...####.#...##.#.#..###..##....#......#.#..#.###.....#..##.#.....#.####.###..#..####.#..#..###...##.#..##......##...##.###....#.##..#.#..##.#.#...###.##.#....#.#.#.#....#.###.###.#.##.#.#...#####.##...#...#...##.##..#........######.#.#.##..##......#.##..##.#
.###....#.....#..##.......####...#.....#.###....##.####..#..##..#..####.#.##.#..##.#..##..##.####..##.###.#.###...#.#.#..####....#.#.#.#.#.#.##.#.#..##.....##.###.###...##.#..##.#...##...#.###..##.....#...#.###..#.###.#..#.####.##..##...#...##..#.##....###.#...#...#..##.####......#....#.#...#..###..#.#.#.###...#.........#.###..#.#..#.#..#.....#.#.....#...##..##....#.#.###.######.##..#.#.####.#..###..#...###....##..#######..####.#.###.######.###..##.....##.#...##...##.#..##.#####....##.#.#..##.....#..####.#.###.##..#.###.####...########..##.#.##.#.###.....#...##.#.##...##.#..#######..##..##..#..###..#.##.......###.#.#.#.##...##...##.##..#..#.#...#...##.#..#####.###...##.#.##..#....#...#.##...####..##...#.##..##...######.#####.#.##.....##.#####.#.##..#....#..#.##.#.##..##.###...#..##.#...#....#..###.###.##.#####.....#..##.##.##..#.#....#..##.#.#....#.#.####.##.#..##.#####.##.#.#.#.####..#..#...###.....#...##..##.#####...##...##.#########.#.#..#.#..##..#......###..###..#..#..###...#...#.###.#....####.#..#....#..####....#.#..#.#...###.#..#.#...#####...#.....###.###......####.##.......#....#.###.##.#.##.....##....##...##.......###....##.#.##.....#..###....#.#..#.###.###...##...#....#####.####.....#####.#...#.##.###.#..##.#..####.#...#..#.#...#..##.#...####.####.......#.##.####..#.##..#..###.#..##...#..#..#.#.#.#.##......#.#.#.###.#.##.##..####.#..#.#########...#.##...#.#.###...###.#.#.#...#.###.#..#.###..#.##..#.#.#####.##.#####....#...#.....#.#.#..#...##.###.##..#.###..##.####.#..#..##.###..#...##...#....###.##..#........####.#...##..#....##...##.##..#...#...#.##..#...###....#...#...#.#.#..##.#.##.#.#....#..#...##...#...#.###.####...#..#.#..#..##...###..#..###.#......#..######.##.....##.#.#.#..##..#...####...#.##.....##.....#.##.##########.##.#..#.#...#.#...###.#####..#...###.#.##.....##...#....#......##.##..######.#...#..#..#..#....#.##...##.....#.##...#.##...##..####.####.....#...##.##..#.##.#.....#.#..#.#.####.###.##.##.....#.#.#####.###.##...#####.####.#..######..##
........##.#####....#.#####.....#.##...#.##..#.###..#..##.##.###....#...##.##.#####......#..#...##.....#.#..##...###...##.....#...#.#.###..#.#.##.##.##......#...####..###........###..##.#..######.#...#.....#..##.#.#....###.##.###....##..#######.#.#..#..#.#.#####..#..#..##.##...#.####.#####.#.#####....###.#....#.#..###..##..#.#.##.#....##..##...####.#####.##...#.#....##..###.#....#.......##....#...#####.....#..###.####.##.#.##.#.####...##.#.#..####.#.###..####..##.#.#..#.#.....#.#.#.#..#....#.###.#####...#.####.#.##..#..##...#.......##..#.##..#.#.#.##.......#.##..##.#.###.###.###.##..####...###...#.....#...#.###.....######......######.##.#.#.#..#.##..#...#..###..#.##...#.###..#....#.##.#.#.#.#####..##...##..##..#..#####.##.#...#######..#.##.##.####.##.####.###.#.##.##.#..#.###..###.#####.#......###.....##.....###.####.###...#####..##.#..#..##.##.#.###.##.#..#.##..#.....#.###.#...##.#...#..####.##...#....########..#####.####.#..#.......##.#..##.#....#.....#.#.#.#..#..#.###.##....##...#.###.#....#####..#.##..###.###.#.###..#######..#...#.##..##..#.####..#.##.#..#######..##..##..#...#..#..#.#.#.##......###.#...##...###.###.....#...#.#....#..##..##......##..#..###.######..##.#.##.#.####.###...###....#.#.#...########...##.#.##..#.####..#.##.###...........##..##...##.....#.#...#...##....#....#..##.....##..#.#....##...#.####...#.###.##.....#..#....#.###.#..#.##.#.#.##.###..#..##.#..#..#..#.##.#..###.##..##.##...###.######......###..#.#..##..##.####.#...##.###..#..#.##......#####.#.#.....##..#..#.#..#.#.#.###.##...#..#.##...####...#..#.#....##..#...#.#.#..####.#..###.##..####...#.#.#..##..#.#..#.#....#######.#.#.##....#.#.#..##.#######..###..#..#.##.#..#.#..#....#....##..#...#.##..#.#.#.#.##.#....#.#.##..#...###..##.##.#.####.#.##.#.#.#.#.###.#####.##..##.#.#....#......#....#.#.###....##.###.#.##..##.#...#.##.......##.#.##.#..#..#.#.##..#...#..#.#..###...###.#.....#..#.#.##.#.#.##.#####.#....###....#..##.#.#.##..###..#####.....#...#...#...####..#.##.##..##..###.......#...##.
###....#..#..####.##.##..##..#..........#..##.#....#..###.#..#.##.#..###..#....##.###.##.###..##...#...##.#####.....####.#.......##.##..#...#....###..##..###.#.##.##.......#...##..#...##.##.#.#.....##.##.##..##.###..##..###...##...##.#.....####......###.##...#...###.#....##.#.#.##.###.##.##.#.#..#.##..#..#...##.##....#.##.#.#.#.###.#.####.......##.......##..###...###.####.#..#..##..##.....#...#.##.#..#.#.####.#.#.##..####..##....#.#..##.#...#..#####.###.##.#.#......#...##..##..##.###...####..##.####.#.##...#..#.####.####..##.###.#..##.######.#..#....###...#..#.##.#....#.#.##.##..#.##.##...........#.#.##.#..######.###.##..#.#....##...#.#..####.##.##.###...##.####..#...##.#..#..#.#####..##..#...###..#.####...##..###...#..##.#######...#.#..#.##.#..##...##..#.#..#####.##.....#..#.#..#.#.##.###.#.#......######..###.######.#.###.#..#.##.#.#.#.#.#.#.####.#.....#######.##........#..#...#######.#..#########.......#.#..#.#######.#..#.###....####.##..#####..#.##.#...###..##..#..#..#.#......#.#..#..#....##.#...#.#.#####....##.##..#...####...###.#.#...#.#..#...#..#..#.......#.#.##.#..#.##.###..#.#..#.##.##...#.####..##.####..#.##.########..#...##.####...#....#..###.###.######...##.###.#.####...#..#.#########.##...##..##..###.##.....#.##.#.##.####....##.##....###.#.#.####..##..#..##.###.#..#...#..##..#.###.#######...#######...##...#######...####.....##...#####.##...#.#.#.#..#...##.#..#....#.#.#.#.##..#.###.#.#.....####.#.....##.#..#...#.#.#..###....##.###.#...#.##..###..###....#.##.#...#..##.#.#.###.####.#..#...#.###.#..#...####....#.##.....##.....#.#.#..#....##....#.##...#..#.##.###.##...#....##..##.#.##.#####.###..####.##.####.###..###.#.###.#.##.....###..#.#...#....###...#.##.####.###...######....#.##..####.##...######.#.#.###.#.#.###.#..###.#.......###.##.####.#.....##.#.###.######.#.##..#..#..#..#.###.#...#.#.####.##.##...##.....#..#.#.#.##..##.######...#.#...#.###..#...#..#....##.#..##.#..######.#.#..#.#......#.####..######.#.....#...#.#...###..#..#....##...#..#.#...##..###
#..#.....####..####.#..#.##.#.###.#.##.####..#......####...#..##..######.#........#..##..##......###.......###.###.#..##..####..####..##..####..#.#.....#.##...##.##.#.#.#...##.#....#.###..#..###..##..######....##..#......#.......##.##..#..######.#...#.##.#.###.##..###.#.......#..##..#.#..#..#.###...##...#.#..####...##.##.#####.....#...........########..#######.##.###..#####.##.#.###.##.#.##.##...##.#..#....###..##.###.##.#.#.#.#..#...#..#.###....###...#.#.....#.#.#####.#####...###..##.#....##.#....##.###.######....######..###.##...######..#.###.##...##.###.#..##..#.#######.#.##........###.##..#.###.####.#.##..#.#...#.#...###.#..##.###.###.#..##.#..#...####.#####....#####...#####..##.###.#..#..##.###..##...##.#.#..##.#.######.#..###..#....#.#..####.##.#..##.#.####.###.#..#..........#.##.####.###..##..#.#..#..#.......##...#..#....#.#..###.#.##.#.##...#......##.#..#.#.#.###.....#####..#..#.##..###..###..#..#.####.###...#####..#.#....#..#..##...##..#...###.##.#.....#..###.#...#.#.#..####...#..#..##.##.###.#.###.....#..##.#.#...####.###..#..######.#########.#....#..##.##.#.#.....####....#..###..#.###.##..######.#.##....#.#.###....##...###.###....#.##..........##.#..##.#.#..##.#.#.#..#.#...#.#...###..#........####.###.##..#....#..#.#########.##.###.#..##.#..######..####.###.#.#..######...####.##..###.....####..#......##.#.#####..#..#.##..##...#.#.##.####.###...#...##.#..##....#.#...##...#.###...#.#.##....##.#....##...#...#..#.##.##.#.#.##........#.#....##.#####..#..####...##..#....#..#.##..###...#.###.......####.#...##...#..#....##.#.#..###..########.#..#.#.##..#..#.##...##..##..####.##.##.####.#.##..#..#..#.#.###.#...##.########.#..###.#.##......#####..##.###.##.#.##....##.####.##.###...####.####.#...##..##..#...#..####.....###.#####...####..#.##.####.#####.....#.##.#..#..#......#.#....#.#.###..#####.#..#.#..#..###..####...#####..##..#####...#.#####.#.#...##...###..#...##..#.###....#.##.#.##.##..#####.#.####...#..#.....##.##..#..####.#..###...###.#...##.#.#...#......#.##
..##..#..#.##.###.##..#..#......#..##.###..#..#.#######...#########.#...#.#...#.##..##.......###..###....##.#.##.##.###...##.#.#..#...##.#.....#.#.###.#......#.####.##.....#.##.#..##.####.#...##..#....#.#.#....#.#.#....##...##.......#####.#.#..#.##.###....#..##..######.##.#.##.##...###..#.#.##.##.##.####...####.#..#.####.#..#...##.###.##.....#.#.#.##..##.#.####..#.#.#...##.#..#.##.....##.##.#..#...#.##.....#..#..###.....##.#.......#...####.##.##......##..#...###.###.#...######...#..##.....###.#..#...##.##.#####.#...#...###.###..##.#....#.######.#.#....#.#.######..##.....#....#.##.#####.#.#......#..##...#.#....#..#####.#.#........####.##.#........#..##.##.#...##.#...#####..##......##..###...###...##.##..##.###.......#.#.#####...####.#..####.###.####..#..#.#.#....#..##.......##.#######...##.##..##..##....##...##.##.#.#..........#..#.####.##...###..#.##..#...#..###.#...####..#..####.#....#..###.##.#.###...###....#.#.#...#.####.....###.#..###.####..#..#....#.#####..###.##.#####.#..##.#....####..#..#.##.###.##...####..#.#.###..####...#.#.#.#.###.###..###.#..##..#.###...#....#####....#.#..##.#..##...#.##...##....###.#..###....####..#.#.#..##.....###..###.#######.#.#.#....##..##..####.##.##.#.#.###..#..#.#.######.#.###.#.#..#..#.#.#.#...####.#.#######..#..#..#.####.##...#..#.#.##...#.##..###.#.#####.##.#.#..#...##....###.......#.#..###.#####...##.#.....####..##.#.#..##..#..#..#.#.####.#..#....##..##....######..##..#.#.#.#.##.####.#..#....#..#..#..####.#...##..#####.#...#.##.#..#.##.#..#...###.....##.##....###.....###..#.#.#..####.###.###..##.#.#....#.###.#..###.###..#.#..#.######.#.###.##.#..#.##..#..##..#...#......##.####......#.#.##..#.########.##...#.##..#..#..#...##...#..##.###..##.#...#.#.#.#.######.###..#.#....#.####.###.##.##.....#.##..#.##.#....###.###.#.#.##..##..###..#..#..#.....#.#.#####.#..#.......###.##.###.....###..#...###...##......#.#.#...#..##......###.##..#.#.##..#....###...#......#.#.##.####.#.##..#.....#..#.#..#..##.#..#...##.##.#...#.#.#..##.###..##..#
#...#..##....###..##.........#.#....###.......##.#..##..####....#####.#.#..##.#.####...######.###.###..#..#..####.#.##...##.###.###....##.#.#..###.##.###.####..#......########..##....#..#.#.#.#.#....#.#.####.#.##.#...########..#....#...#...####..#####...####.#......###.##.#.##.##.#.###..#...#..#.######.##.#.....#####.#.#...#.#...#....#...#.#######..#..##..#####.###..##...#.#.##..###..#.##.##.##.##.#.#..........#.#.#..##.....###..#.####.###.#####..##...#.##.#####.#...######.###..#....##..#####....##.##.###...#####...##.#..##..##..#####.##.#.##########..#....##...##..##..###.#.......#.#..##...##...##...###...#.#.#.#......##.######.####.#.#.#...#.#.###...#...###.#...#..#..#.#..#...#####.#####...##..##..#...#..#.#.##.###.##..#####.#.#.#...#.###.#.##.#..####.##..#.......#..#.##.#...#...#.##.#..#.###.#..##..####..#.#.......#.#.##.#.###.....####.###..##.#.####.######...##.#####....#....##.#..##..#..##..##.#.#...####..#..#####.##....##...###.######.#.###.##.#..#######.#.#.....#.#..##..###.####.#.#.#.##.#...####..##.###.#...#.##...#.##.####.###..#....#.......#..#..##.####..#.#.##..###..#...#...###...#...#####.###....##.###.#.##..#######.#.###.########.#..#.##..#....#.#....#.###....####.#.#...###.#.#.#.##.#.#.##...#.##..#..#.#.#.#.##.#.##.#....##.#..#.#.....#..#######...##.#.##########.##.####.#......##....#....##.#.#.#.####...#.##.###.#.###...###.##.#..#..#..#.##.#....#..####.##...####..##..##.##.#.#.##.#.#.#......#.#.......##..##.####..##....#.##.##.#.##..##.#..#..###..#..#..#...###...#..##...##.##..#..##..###.#....#.###....#......#..#.#..##..###.#...##...##..###.####...##.##.#..###..#.#.#..##...#.....###.#....###.....##.#.#.##...#..#.##.....#....##.#.#...##.#...###....#.##...##.#.##..##.#.....#.#.#.##..#..#.#.#.#.####..##.#..##.#..#..........##..#.###...##..#.....###.#.##.#...###.###.##..##...####.###.##.###.##..#.#.####..#.#...##......##.#.....#..####.#####.##..##..##....#...##.######.#..##...#..#.###.#####.##..#......######.#.#.##.#..........#......##.#.#....#.###..###..
#...#..##..#..#.###.##...#......#.#.##.######.#.####.#..###..###.#.#.##..#.#.####..####....##..##.#..#..##.###....###.##..##.#..##....#.##.##.#...##.##.##.##....#.###..#..#..###.##...#.####....#.##.##..#.#..#####.###.##..###..##########.#.#.###..##.######..#.###....######.#..#.#...#.#.##.#.......#.#.#..##..#..#.#.##.#...####....###.####.###.#.##....#...####...#######.#..#.#.##..#.####..###..####.###..#..##.#.#...###..#.#....#...##....##.#..#..##..#..#..##.###.####..###..#.####...........#.#.#####.....##...##...#......#.###.#....##......#####.###..###..###.##..###..####.....#.##......##.####.###..#.#.....#..####.....##..#...###..#..#.....#.#..#..#.###.#.#.#..#....#...##...##.#..#.######.####..#.#.#...#....#..#.###..#......####....###.##.##.#.##.#....######.#..##......###....#.#.#.##..###.#..#.###.#.###..#..####..#.###.#.##.#.#####.##.#.#..##.#..#.###.#........#.#.#####..#..##.###.#.#.####...###.##.#.##.##..####...##.###....#.##...##.#.#.#.#..#.......####....###....#...##..#.#.##.#..##...##....#..#...#.#...########.#..#.#.####.....#####.#..#######.#...#.#.#.#.....##.####...#...#...#.#.#...#.#..##.##..###..#.#......##.#.###.#.##.##..#.#######..####.#..###..#.#..####.#.###..###.#...#..#.##.#.#.##.##..###..##..##.##.##.##.#..#...##..##..##.#..##.###..####.#.##.#.#...#..##.#...######....###...#####..#.###...###.#...####...##.#..###...#.#.#.##.#...#.####..#.###.#..#.#......#.##...#.#..###..#####...##..##..#.####.....##.#####..#....####..###.#.#...#.....##...####.#.#..###.#..#.#.#######........######.#.#.......####..###..##########..#.#.#....##..#..###.##..#.#.#.####.##...###...###.#..##.#..####.#....#....###.#.#.....#.####.##.#....###..##.#..##..#....#.#.###.#######..#####..##.#.....##.####.#####.#...#.....##.##....#...##...#.#.#...#.#.####..##.#.#........#....#..#.#...#..#.#....#.#.....#.#..##....######..###...#....#.#####...#.##...#.##........#...####..#####..######.....####..###...##.###.##.....##.###...#.........##.####...##...#.#.####.#.....#.#..##.##.########..#.###.
....#..#.#...###.#.....#.##...#.####....#..##.##.##.#..#.##...#.#.##.###.##..#.####.####.####.#..####..#.##..###...###..#....###...#......####...#.##..##..#...#.#.#####....#...#.#.###.##..#....#..#.#.###.##...##..##.#.###..#.#..###.##....##.##..#..###.#.#.##.....###..#....######.###.###..#..#####..###.####..###..###.#.####....##..#..#.#....#.#..##.#...####....#.#....###.#.#..#..#..##......##.##...##.##..##..#.#..###.#.###...####.#.#.##.#.#..#.#.#..#...#.##.#.#.#.#.#..###..##.#.#.#....#####...##...#..####....########.#..###....#....###..##..#...####.##.##....#....#.#..#####.###..##.#.#.###...##.####......#....#.##..#.##.#.###.##....##.#..#......#.#.##..###...#...##...#..#..#.#...#.#.########.#....#.#..###.#.#.#......###..##.#...##.##....#.####.#..##.#...####.#..######.###.###..#.#.##..#.#.....#....#...#.###.#..#######..#......#######.##.####...#.#.##.#.#......###...#.#.#.##..##....##..#....##.##.#.##.#.#...##....##..##...##...#.....##...#.....###.##.#######.#.##....####.....#.##.#.........###.......####.###...####.#.#...#.#.#.#.#.#######.##.#.#.......#..###..##..####..##.#.#.#.####.......##.##.##.#.##...#.#.#..#..#.#.#....#.###.##.##..#..#.##..#..#....###.#...###########...###.#.#...#.##...#.#.#.....#....##......#...#.##.#.####..#.#..#.###..##.##....####.###..####..#.##.....#...##..#.###.###..##.##..##.##....####..##...##.##.#.#..#.#..#.#.#.##...##.####..#.#.#####...#.###..#.#...#...#.#...###.##..####..#.#.#.###.##.##.#..##.##.##.###.##...###.#.##...#.##..##.#.#.##.##..#.#..#.##..#.......##.##..#....#.##..######.#..#####.####.##.##...#.#.#####.####.##.###.###.......###...#.###.##.#.#..#.#.###......#.#...##.####.#.#.##..#...#....#..################.#..####..#.##.#..##......####...##.###...#.##.#.#.######.#....####..####.#.##...#.#.#.#.###...#.##...#....##.#..#..#...#.###......##.#.##....#.##.#.#....#.###...#...##..#.##.#..#.#.###.###.#.....#.####.#.######..##.#.#......##....#..##.#.####.##.##.#..##.##..##.#####..##..###.###.##.#....#......#..#.##.####.#.########...###
###..#.#.#...####..##..##.##.####..#.......##.....#..##..##..#.......#..##.#..#..##...###.##.#.###.#.#..#..#..###..###.#...##.###...###...##.####.#..###.###....#.####.####..##.###..###.##.##.#..###.####...#.#..#.#.##..##...#.#.###...#..######..#..##...###...###...#.###...####.#....#.##.#.#...###..#.##....#.###..#.##.#.#...#####.##..##.#..##.#.#...##.#...#..#..#.###.#...###.##..##..#.....#...#.###.####......#.##.#####.#..##.##.############..#..#.#..###.#..##..##.#..#.#.###...#...###.#..###...##...#..#.##.#.###..##...##.#.######.#####.##..###..##..#.#..#.##.##.#.#.##....#..####.....#........#..###.##.#..#.#...##.##..#.#.###.##..#.###..#..##..####...##...###..##..##.#.#..##...##.##.#..#.#####.##..#..####.###.####.##...#.....###...##..#.#..#...#.#....#.####......#...........#....#.#.#....##....##.##.##.#.#...##..#.#....##.##....##.##..#.#...#.#.##.###...#..##.##..##....###..#...##.##.#.#.###...##..###.#.####.#...##.#..#..###..##....##.##.#.#.#.#..#..###.####.##...#.##..##..####..#..#...###.#.##....######.#...###..#.#.###...##.###.#.#...######..#.#.##..#.....###.####.#######.#.##.#.#..#.###.#....##..#.######..#...#...#.#..#....###..#.###...#.#......#..##..#.#..#.#.###.######.##.###......#.##.#####..##.#.##..#...######.#####.#.##.####..#..#.#..##.#.#.######.##.##..#...#..##.##..#..###.#.#...#....##...###..#.##...#.#.#.###.##.##...##.##.#..#.######..###.#.......#.#..#...#.#..#...#.#....##....#########.##...###...#..###...###...#####.#.##..#######.#.#..#...#.#.#..#####.#..#.###.#..##.###........#.###.####.#.##.#.#######..##..##..#.###..#......###.##..#.####.#.###.#..#.##.###...##.##..##.###....#..##..##.........##.#.##...####...###.##..#.##.#......##.#.#...#.###..##.....###..##....##.#.##.###.#.###..###.##..##.#..###...#.##..##...#....#####.##..####.#..###.#.#.##..#.#..##.#.####.#...#...#.....###....#..#######..##.....#.######.#...#.#..#.##..#.#..##..#.#.#.###..#....#.#...##...####...#...#....#.##....####....####....###...#...##.#...#....#..#.#..#.####.##...##..###..##..##.
###.####.###...##.#.##...#.##...##.###..######.#.##.#.##.#.#.###...#.#.#.....#.##.##.#.#.#...#.##....#.#..#.#..##..##...#......#.####.###..##.##..#..##.##.##..#..#...#####.##.####....#.#.#.######.##..#.#.###..##.#.....##....#.#.##.#..##...#..##..#...#.####..#....#.##......###.#.#...#...##.##.##.....###.#######.###.#.###.##.##.#..#.##.##.#.##.####.##.#..####.......#.###...#..###....##..#..#.##.####.##.##.###.###...#.#...#..###.#..#.#..#.#.#..##.###......##.#.##.##...##...#.#.###.#...##.#.#....#.#..##.##.##...##...#.....##...#.#.#......##..#..#.#.#..###..#...##..##..###...####.##.........##..###.#######.####..###.##....#.###.###...#...#.###..##.#..##.##..#.#......###..##..#.##.##.####.....######.##..##.#..##..##.....#..#.#...#..#.#.#...#.##..#.....###.#..###.##...##.##.####.#...#.#...#####.#.####...###.##.#..####....#...#.###..##.#.####.##.###........##.##..#..#.##...#..##.#.#..#..##.####.#..#....##....##....#..#.#....##.##...#....#.##...###..#.##.#......##...#.##.#.########.#.#..#.#.##.##.#......########.#..#.#####..#.......##..####......#.####..#.#.#...##..##.####.#.##.#.#...######.#.#.##.#..##.#####.##...#######.#.##..###..#.#.#...#.##..#.#######.######....#...####..###...#..#.###.#.##.#.#...####...#.######....#..##.####..###.####.##.##......###..##.####..#......#....##..#..####.##.#..#....#...#..#..###....##.##.#....#.###...###.#...##.......#.##..#..######.##..##.....##..##..#.##.##..##..#.#....##...#.##.##........#.##..#.###.#....#......##.#..#.##..#..#..#.###..####..#.##...####.###.###..##..##.#.####..####..#..#.#####.###.#.####..##..#####.#.##.###.##.#.#..##.#.#...#..#.#.##.#.#.#..#.##.....##........##.#.#.#.#.#....#...##.#..#....#...#...#.#.##..###.##.#...#####.########..##.####.#.##.#..#.#.#.######..#####..######..###..##.######..##...#.#.##..#####...#.#.##....#..###..###....##.##..##.###....##...#.##.......#.##......#.....#.##...##....###.#....##..#..##...###.##.#...#.#..####..##....##.#.##...##.##.....#..#....########..#.#.#...#...##..#.####..####.##..###.#
###..##..##.##.####...####.###.#..#.#....####.##....#.#.#####.#.##..###.#..###.###.#.#..#####.###.##.##..#...##.##.....##.....#.##.#.##....#.##.#.#.#.###.###.###.####...##...###..##.##..##..###..#.####..#.#..#.###.#...#####.#...#......#.###..###..##..#...###.#####.#....#.##...#.#...#...#.#..#.####....#..#..####...#...#.####.#.#..##...####...####..####.###..###..####...####.#.####.......#..#...##..##..###.#..##.##.####.####....#.##..##...####..##.#....#.#.#####..##.#..#.....#.#.#.#..##...#.########...#####......#.###..#.#.###....#.#.#####.##.............#######...####.##...####.#.##.#.#####...#.##.##.##..#..#..####..#.#.#.#...##.##..#.#...#..##...#..##..###..#####......#.######.##.#...#.##.....###.##.#....###.###..#..#.#.#.###.##..#...##...###.#..###.#....#..#...#.#.#...#....#.####...###.####..##....#..##.#.#.######.#.##......#.####...#....#..#.##.#####..##...##.#...#.....#.##...#..#.##.######..##.#...###.#.##..#.#..#....##...#.##.##..#..##..#.##.##.##.###.##..###..##.##.##.#..#.#...#....###..#.####...#..###.#.#..#.##.##.#...#.##..#.#.#.#.###...#####...##.#..#.##....##..#######..###..###.####...##....#....###.#..##..###.#.###.#.#..#.##.#.#####.#.##...#.#.#.#.#.#...#.##...#..###.##...#.#.#...##...##..###.....##.#..#.#......#.#.##......#..####...##...#..#..#.#.##.######..###.#..#.....#.#.#..##.#.##.#####.........####.#.###....#.#.###.#.#........#..#...#......#...#.###..#...#..#.####.##..##....###.#....##.....####.#####.##.....#...####.....###.#...###.##.##.######.#..####..#.#.#.#.#####..##..##.###.#.####.#..####....####.#.###....###....#.#.#.##.#.#.#.####.#..##..##.#..#.#.#..####..##......#.#.#####.##.##..##...##....###........#########.#.#.##...##.#.####...##...##.#####.##.#..#.######..####.###.....#.##...#.#.#######.#####...#...###.#.##..#.#....####....#.#..#..#.#..##.......#.###.#...#..##.....###.#.....#####.#....#.#.....#.#...#......##.....#...#.#.#.##.#....##.########.####....####.#..##..###..#..#...#..#.#.#..#.##...#.#########..##...##..#.#.#.###.#.#.#.#...#.#...
...####...##.######.#.#..#....#.#...#..#..##.###..##..####.#.####.#..#...###.#..##..#.#..#....#...#..#.#..#...####.##.#.##.#..##..#.#......#...#####..###..#.###....##..#####....##....###..##.##.##....#....######.#####..####..########..#.#####.#..#...#..#.##.#..##.#.####....##...###.##########..#.#...###...#.#..#.#.######.##.#..#.####....#..##..##.##.####.##.####.#..#####..#.##.##...##.......##.#.#.##..#.#############....##.#######...###.......#.#.#.##.#...###..##.##...#.##.#.#.#...###..##..##..##.##..##.####.####.#..#####.#..##.#...#..#.#.#.....##.#.....##.###...#.#.....#..##.#.####.##...##.###..#..##.#..#....#########.##..##..##..##.#.#...####..####..##.#.##.#.#......##..##.##....##.###.##..##..###......####..##...##.#....#...#.##....##....##.###.#.#.#....##.#.##.#..#.#..#.###.#..#..####.#....#..##......#..#..#..##.##.####.#.#.##.##.###....#..####...#.###.#...##..#..###.#.#..#.#..##...#..###...##..#...#.#.#..##.#.#.#..#..#.####..#....##...#####.##.###.##.##.###.#.#.#########.#####..##..#.#.##.#.#.#####.#.#.###..#.#.#........##..####.##..#######.####.#..#..######.##..#.###......#.##.#..#.##..#..##.#..####..#..##...######.##.###.###.#..#.#....##.#..###....#.#.......####..##..#.#.#.###..###..#..##....#.#..#..#####..###...##.#.##.#.#.....##...##..#....####.#...##.#.##.#...#..########.###.......#.#....#.#..###.#.#..#.###.####...##..###..#.###......##.###.####.##..###.##..###....###..#.#....####.#.#.#....##.#.#..##.#.###..####...##.##.##.######.#...#.#.####....#..#..#.#..####...###...#...#.#.#....##...#..#.#..##..####.#..#....##.#.#.##.#.#.#.##.#...###.#..#.#..##..##..##..#########.#.#.#.#....###.###...##.####..#.#.#...#.#...#.###....#.#..####...#####..##.######...#######..#...####......##..#.#.###.#.###.#...#..####.####.####..##..#.#..##......#..#...##...##...##.###.#.....#.#.##........###.#.#.##.##.##.####...#...#.##.#.......###..##..##.#..#..#..#....#..###..#.#..#..#####.##.#.#.#...#....#.#.###.###.#..#..#######...######...##..#.##.###.#..#....##########.#.#.#.#..#..#
.#.##.#..##.#..#.#.###.#.#.####....###..#...##...##.###..#....#.#.....###.##..#.#......####.##...#.###..#....####....###..##...##.#.####..##..#.####.#..##..##.#...##.....##.....#..#....#..#..#.#.#.......#######....#.#.####.....#..##..##.#####.#..#.######.###.##....#####.##.#..#.#.####.###.#..####...##.#####.#.#.#..####.#....#..####.######.####.#.#..#..#..##..###.#...######..###...#.#.##.##..###..#.#...##.##.##..###.#..#.#....###...#..#.##..##.#....#..#..###....#..##.....##.#....#.##..#.###.#.#.##...#..###...##..#...#.##....#.##..#.#####.#..###...###.#..#.....##..#.##.###.##...#.#..#.##..#.#.#..#..#.##.#.#.#.#.###..###.###.......##..##.#.#.###.##.###...###.#.#.##..#.#.####..#.#..#.##.#.##...#.#..##.#..#..########.###.##.###.#..#.#..#.#..####..#..#.###.#####...#....###...#.#...###.###...#..##.##.#.#..####.......######..##.#.#.#.#..#########..########.#.#.###.#.##.#....#...######..#.#....##.##..#####.##..###.##..#.##....###..#####.#.##..........#...######.#..#..#####...###...#...####..####.#.....#.##.....##...###......#.#.##.#.####.##.##.#....#.#.#...##.#.#######.###..##.#.#..#..####.#.#..##....#.###..#.#...###..#.....#.##...##.#.#...#.##..#.#####.###...#.###..####..#.##...###...#.....#####...##.#...#..##....##.#.##..#...#####.#####...###....###.#..##..#.#..####...##.#.#......##.#.#.###.#.#.##.###.#.####..###..#.##.###..##..###...###.##.###...##.#.##....##..#......##.#....#.#.##...#..#..##.#.###..##.#...####.#......###..###..#.#.##.###..#.####.##.#.###..#####.##..###.###.#..##..#...###..#......###.##.##..##...##..###.##.#..##....##....###...#..##.#...#.##..#...##..##...###.##.#.....#####.######.##..#.#.....##....##.......##.#######.##....#...#.....#.###.###########..####....####.##..##..##.#..##..#..#..#.######...#..#......#.#.##.....##.##..#..###.#..#.#.#.###......##...#...####.####.....#.##...####...#.###.#.#.#.#..###.##.#.###..#####.########..#.#.#..####.#.#.###.###.#..####..#.#.#...###.####.##.#...####.##.####...#..####...#..#.#####...##.##...###.###.######.#..##..
.#..#..#..#....#..#..#.#.#.##...###.....###...#.##...####.#.#....##.#...###.#.##.##..#.#..#...##.###.....#..#..#..###...####.....######....##.##....###.#..........###..#..#..#.#.#..#.###.....##..###.#....##.#....#.#.##.######..#..###.##...##..#..#.##.#.##.#.#.##.###.#.#.......###...#.........###.#....#..####.#.#..#.#.#.##.#.###.#...#..###.#.#.##...#.#..##..####..#.##.##....##.....#.....###...#####.#..##.#.#########.#.##.#.#.......#..##..#####.##.#..####..##..#####......#..#.#.##.###..#####.###..#...#..##..##.###..#..#.#..#....#.#.#.##..#....#.#..#.#.##.######.#..#..#.###..##....####.##.#.#.#.##....#.#..#..#.#.##.###....#.##.####...##...#.##.#.##..##.##.###.....#####.#..#..######....#..####.#.###.####..###.....##..#...###.#.#.####..###..#.#...#...##.#.#.#.#.#..#.#####.##.#####..####......###.##..#...##.#.#...#.#.#....#...####.#.##...##..#.#....###.#######...#.######..#.#..#..#.##.#...#...##.##.#.###....#..##...#####.##.##.##..#.#...#.#.#..#...#..###..##.#.#.#####.##...#...####....##..######..#..#..##..#.#####...##...#..#.#....#.######.###...#...#..#..#.#...#.#....##.#.#.##.##...#..#..#..#...###.#.....##..#..###.#.#.#####.#.#.###.#.##...##..#.##..##.#...#####.###...#.#.#.#.###.#####....#...#.#...#...#..###..#.#.###.##.##.#.#....####...###.#.##.###.##.#..##......#..#...#.#.#.....#.####.####.....#...#.#.#######..#.###.#..#.#######...####.##..##..#.##.#####.#...#...#.#.....##..#.#.###.......#..#.#.#.#.##.#...#..##.#..##..###.###....##..##.##.#####.#...##.....##.##..###.###.#..#.#.#...##....##.#.#.#..##..#.###.#####.###.##.##.#.....###..##.#...##..#....#####.#..#..#..#...#.##..#.###.#.#.###..###....####..##.#..#...##..##.###.#..#...#.####..#....##....#..#.....#...#...##.#.#.#.##..#...##..###.#....#...#..#.....###...#.########.####..#..##.#..##.#####...###..#.##.#.###........##..#.###..##.##.#..#..###..##....##....#..###...###....####....##..##.##.####..#.#.##..###..####.#.#.#.##...#...##.##..#...##.##.####.##..##.##....###.#####.######.####.#....#.#.####....#..#...#.###..
..##.#.....#.....#..#...###.....#.#..#.......#..##...#.#..#.......#..#.###.#.#..##..#.#..#.#..#...#.#....###..#.##.#.....#.###.#.#....#..#....#.#.#.#.#.#..##.######.###.###.#..#...####.#...###.#....###..#...#....##.#.####...#.#...#...####.#...###.###.#..#..#.#.#..#.#.#.#.....#.#...###.#.##.#.#...####...##.##...#...#.#.##..#.##..#####.#....#...##.##..#..#.#.#.##..........###.##.####.#..###.##.#..##....##...###.....####.###.#..#.....#..####.#......######..##.#..#.##.##.##.....##.####.###...#..##.#..#.####..#....######.##.#.##.#.....##...###.##.#.##..#.##..###.#..##...#...##..#........###...##.##.##.#.###.#..#####......#..#.#.#.####.##.#.##.#######.#..#.#...########...#.#...#####....#...##...##..#.##...##..#.#.#.#..#.#....###.#.#..#.#......##..#.#.##.....###.......#.###.###...###.###...####......##......##..#..#..###......##.##..####..##.#.#.#..##.....#.#.##..#########..#..#.#..##.#....######.#...#.....##.....####.#....##.##......#.######...##..###.##...#.....##.#..#.#.######.##...#.####...#####.#.##...#..........###..#.......#..#..####.##.......##..#.###...##.###.##.##..#...#..#.#.##..#..#.#####.#..###.####..#.#.#..#...#.#..#.#.##.#....#..#......####...#####.##.#.......#....#..#.....#..###.#.#..###..##.#..###.###..####.###....#..####.....#.###....#.##...#..##..#..#.##.##..#..########.#.##..#.....###..##.#.##..#.####.##..#.###.#.##.......#...##.....#####..#.###..#.##..##..##.##..#.#.#.#..#..........#..#.##..#...##.##..#..##.###...#..##.####..###...#.#######........#...###.#..#..#.#......#.#....#..##..#........###..#####..#...#.#...#.#.##..#.###.###...##...#.####.###.#...##.#..#...#.#####..##....#..#####..#...#....#....#####.##.#.#.#...#.#..#...##.#.#...#.###...##...#####.##.###.##.#.#.#.###..##...#...##..######.##.#.#.#.##.###..#....#.##..#..###.####.##.##.#####......#..#.####.#.#....#.#...#..###.#....##.###.##.##..#..#.###.##.###....##..####.#..#.##.####..##..##.#.##.##..##.##.######..###..#...#.#####.#..#.......######.#.#.####....####......#..#....#....###..#####.##.
.#.###..###...###.###..#....##..#..#.#.####.###.##..##..######...##.#..###.#..#.##.#.#..##.#...#.#.#.#.......#######.#####...##...#.....#..#.#........#...##..#.#####.#...#........####..#..##.#.....#...####.#...##....#...#...#...#.###...#.#.#####.#....###...###...##.##.#....##..###.###.#.##.####...#.#.#..#.#.#...##.##.#....###.#....#..#.#..#####.#.#.#.###..#####.##...###.##.##..#####.###.#....####...##.....####...#####...#.....#.#..####..#.#...###.#..###..##...##....##...#...#.##...######....##.#.##...#.#.#.########.####.###.....###..#.####.#.....#......#..##.#...#.#.....##.##.#...#..#.#.#..#....#.###.##...##....###....##...#.#.##.#####...#.#.###...##.#.###.#.....####..#.###.#.#.###.#.#....#.#.#.##.##..#.#..#...#..##...#####...##......##..####....##.####..####.#.#.#.#...###.##.#.##.####..###..##..#...##...##..........##..#..#.#.##.#..#...#..#.#.#..##....#.#..##..#.##....###.##.....##....#...#.##.....##...#.#######.#.##...#####.......##..#...#.###.#...#..#..#..#....#.#####.###.##......###..#...#.#...#.##.###....#.#..#.###.##.#####.#.....#.##.##..#..###.#.###.######...##..#.##.##....#.....##.##.#.....####.##.##..#.##.##.#..#..##..#..#.#..#...####.##.##.####.#.###......#.#...#..........#.##.#...####.#..#####..#.#.###.#.#...#.##....####.#.....###.##.#..#########..#.#######.##.#.....#..#.####..#..#.....####..##..#.#...#.#.#.#.#####..##...#..#...###..#.#.#.#######..###.##.#.##.###.#.##.#..##.#####......###.#....#...#.#...#....##....#.#..#.#..##.######.#.##.####....#..#.##.#...#.####....#.#######..####.###.#......#....#..##....#..###..#.####....#...##.#.#.##.####...#..#...#.###..###...#.#.####.#.####.#...#..#..##.#.#.##...#.###.#####..##..######.#..###.##....#..##..#.#.#..#..#...#.#.#.##..##.#..#....#...##......###.####..#..#.###..#.#.##..##.#.#.##.#.##..#..#...#####.##.##....#...#....#...###.##.##..#..#.#.#...######..######.####.#..#.#....#.########..#.#.....##...#.#.##.###..##..#.#.#.#.#.#.#..#..#.####..###.#...###.#.##..#.#...#.#....##...#..#######.#.....#..##....###.#..
.#...##...##.####..##########...##.#.####...##....#.#####.###.###..###..#..#..##.#.##..##...##.#.#.#.##.#.###..#.##..######..#.##..#######......#######..#.##.####.###.#..#.##..#.###...####.####.#.#.##....###...####.#.####.#.##.##.#.#..######...##...#.####..##..#.##.#.#.#....###.#.#.##..#.##.####.###...#.#..#..###.##....#.##..#....##.#..#..#.####.#.....#.#.####.#......#####.#..###.#.##...##.###...#..#..#.#..#.#..#.#.#.##.#.#...#.####.#.##.##.###..###....#.####..#...#..##.###..##..##.#..##...###...########..##........#....###..#..##.#..#.#.....#..#.....##.#.#..#.....####.#.#.###.#.##.#.#.#.#......###...##.##.....#####..#..###.#......#..###..#.##.##.#.###.##.##...#.#.#.##...###.###.......#...##.#.##.##.####.#.....##.##..#.###....###.##.......######.#...#..#...####.#.#...#......######..####.....###.##..##..##.##.##.#..#....####.#..#.#....#..##.#.##..##........##...#..#....#..#....##..#..##....#.......#.###.#....###..###.##.#...#.#....#..#.###.#.##.##.....##.#..###......#..##..######.###...###.####.#..##.#.....##.#.###.#.#......#...##....###.##..#...###...#..##.###.##.#...##..#.##..###.#.#..#####..#.####.##.#.#..#.#...#..##......#..#.#.###.#..#..#..#######....###.#.#........###...#.####..#.####.##...#.#.##.#....###..##.##.##..#.#.###.##..#...#...#..####....#....#...#.####..###..#...#..#.#.##..#............##.#..####....###...######..###.#.#.#.###.##.###..##.#...###...##.####.....#.###.....#....##..##########..#...##........##.#..#...#.##.###..#.#..#..#....#...#.#..#.#...#####.###..####.....##.#.###..##.#.#.#..##...#....#...#.#.#..####...##.##.......#.##....###..####.###.....####.###.##.#..##.#.###.##....#...####.#.###...###...###..#.####.#.......#...#####.#...##..#.#.....#......##...#..#.#...###.#..##.#..##...###.#.#..#####.....#.#####....##.#######...#.#..#####.##...#.###...##...###.#.#...#...##.#..#.######..#...#........#..####..#####.###..##....#.#.##.#.#.###..##.......#...#....#..#..##..#.##..#.#####.#...#.###..#.##......#..##...##.###.#.#..#..####.....##..#..#...#..
.#.###..#......#.#.##.##.##..###.#...#.#####...##...##...#..###.##..#.#..#.######..#.##.######.#.######.##..#.###.#...#..##.##.####....#.##.#...###.#.###..#.#.#.#.#.#..#..#..##....#.###.##.#..#...#.###....####...#..##......####..###..#.#.#.#..##.###..#.#..###.####.##..###...##.###.#.##.#..#.#..##.#...##..###.#...#.#######.#.....##.###...##.#.#.#.#..#####.#.###.#.#.##....#..#.#..##.#..##.###.#.###.####.#....###..##.#####.#..####..#.##.#.###..####..#.#..#.###.#.###..#...#.#####..##...#....#.#.###..#####...#....#....####....######.###..#..#..#.#.##....#....##..#####.#..#.##...##..##..####.#.#.#.####.###..##...####.######.#######.####....##.#..###..##......##.#...#.......######...#...##.#.#...#.#....#.####..##.#.#.##..####.#####.#.#..##.#####.#...#..#.##.#.#....#.#######....##.#..#..#.#.#.#.#.##..#######.#.#......#........#...####..##.#.....#.####..##.#...##.#.#.#.####....###..##.###.#...##...######..#..#.##.#...#..#.#.#......###.##....###.###...#.#.#.#...#...##..#..#.#.#..##..###........#.#####.#.#..#.##.#..######.#.##..#..#........#.#..###......#......##.#...#..#..#....#.#.#.#..#.##....###..#.#...##.#.#...#......#.#..#..#.#....#..#####...###.#.##..###.#.####.#.#.......#.#..##........#......#..####...#######.#.#.#.#...###..##......####.##.##..#.#..##.#..##.###....#...##.######..#..##.###.#.#.###.#..#.####.#.#.#.###.####.....#.##..#.##########.....##.#.####.#####.####.......#..#.#.#...##.####...#..#...##.......##.####.#.....##.....#..#......#..##...##..#.#...####.#.##..##...#......##...###......#.##.###....#.....#.#..#.##.....#.....####...##.#.#.#..###.#.##.#####..#.######.##.##.....##.##.##..#..#.#..#.#..#####.#..#..#.#.##..#......##.#.....#.#.####..#..####........#.#.####..##..#...#..#.##.#.##.##....##...###.##.....#.#####...#.##.###.#...#...#.#.####.#.....###.#.###.#....##.#####.#..######.#.##.#.....##.#.#..#.....##.##...######.##..#.####..#######.#..##..######..#..###.#.##.##.##...##.#.#..####.#..#..#######.#.#..##.##..#..###..#.######..#.##.###.##.#.#.#....#...#.#.
.###.##...#...##...##.##.#.#..######..#####..##.###..#..#.##.#.##.########...##....####.#.###.#.#.##.#####.#...#######.....##....##..##...##.........##.##..#..#..##.#.#.#.#####.###.######.##....###...#.###.#.#..#######.##.##.#.#...#...#.....#.##...###.#.####.#....#...#......#..####.###...##...##..###.#....####..##...####.####....#..#...###..##.#.#######..#.###........#..###.#.#..#######..##....###.###...#..#.#.##.#.###..###......#......###.#.#.###.#...####.##.#..#..#.#.#.####.#...#.#.###.....##..##.#########.#.###..#...##.#####..#.##.#....#....#####.#..#.##.#.###...#..#.#..###.###....#.#####...#.######..#..#.#.#......##.####..#.#.#.###.####.#.#....##..#...##.#..##..##.#####..####...##.##.#.##..#.#.##..######..#.##.###..##..###..#.#.....#.#####.#.##....#.##.##.###..####.##.###.#...##.###.#...##.#..##.##....#.###....##.#..###.###...#.#.###.#...##.##..###....##..##.#.###...##.......##...#...#.#.#..###.#..##.##..##..####.##.#####........#.....##.##.#..###.....###.....#.#.#.##..#.#######....#.#.######.##.#.##.##...#.#..#..#########.###.##.#.#...#.#...#...##.##.#....####.##.#..#.#.#..#####.###..#....#.###..###...#.#.###.##..#.###...###..#.#.#####.#.###.##.#.......#...#..#....##....###.#..##...####...###.....#.##.#...#.#.##..#..##.####.#...##.#.#.###..##.##..#####..###.####.#..#.##.###..##...#.....##..##..#.#.###.#..###.....##.#.##.....##.###.####..##.#.##..##.......#....###..#..#...####....#...###########.###.....###.#.##..#.#.#..#.###.##..###.####..###....##..##.##.#.####....##.###...####.#.#.##.##....#.#.....#......##..####.#.#.....##..#.#...#..#....##...#.#########.##.###.##...#..##..##.#.#..#...#.#.####..##.#...#...##.#.##.#####.#...######.#...###....#..######.....##......###.##.##.........##...##...#.##.#.#..###.###.....#....###..#.###.####..###..#.##.##.##..#.##.#######.....#.####.#...##.##.....#.#.#...##.##.##.#.#.###.##..#.#..#..###.###.....#.##.###...#...#..#####.#...##...#.##.....#.##.########..##..#....#...#.##.##########..##.#.##.#......#..##...###.####.#..##.
#...#..##...####.##....#...#.#..#####.#..####.....#.#.##.##..###.....###....#.##.#..#.##.###...#.####.#.##.....#.##.###...##.#..##..####.#.#..##.####.#.#.##.##..#...##.#..######.#####..###.##..##.##....#..#.#.#..#.....###.#..###.#.##.#...###.#.#######..#......#..#...###.###..###..#...#.#..##...#.##.###.......#...####..##.###..#.##...#...###.###..#.#..###.##.#.####.#.....###..###..#...#.#.##...#.......#.##....##.#.#..###..####....#....#...##.#.##.#.##..##..#######...#.##.#..####....#.##.###..##.##.#.##...#..#.###.##...##...###.##.##..#.##.#..###..#.#....##.##.###....####...........##.##..###.#..#...#..##...###.#.#.#..####..#....#.######..#.#..##.....##.###...#.##..#####....#.###.##....#..##.###.#####...###.##.#..###.#..#.##...#.#...##...#.#..#.....#..#..#...#..#.##..#....####..##.##.#.#.##..#...##.#...##.#....#.####.......#.##.##..#.#..##.#...#..##.##...###......#.#..##.....###....##....##.#..##..#.#...#.####.#.##..#..##..##..##.###.##..###.#.###.#.#.#..##.##.#.##..#.#.#...###..#...#.###..##.##.##..#...#.....##.#..#.####..#...####...##...##.##.###...#.##..#.....#...###.....###...#.##..##.....######.#####.#..####.#####.#...#..####.##...##..##..#..#..###...###....####.#.#..##.##...#..####.##.#......#.#..##...####..###..######.##...#...#..####.###.....##.#..###.####......#....#...###...#...#.#.##..#..#....#.##.##.##..#.##.........#...#.###.###..##....#.###.#.###.....###.#.#.....#####.######...#.#.#..##...##.##..###.###..#.....##..#.#.#..#.#........#..##.#.#.......#.#.##.##.###.......###.#...#..###....##.##.##.#.#.#..#.#####.##..#..........#.#..##.##.#...#......###..#.##..#.######..#...########..#..#...###...#....##...####.#.........###.#.#......######......#..##.#..#..##...##.#.##..##..####..##.#####.#######..##.##.###.####.####...######.#.####......#..#.#..##.######.###.###.##.#.#.###.###..#....#.#..#..#....#.##.#..#.#.##..#.####..###.###.##.#...#.#.#..#.#....#.##..#....#.###.###.##.#..#.#.#.##.#.##..##.#..####......#..#..##..#..##.#.####..#..#..###...##.#..##..##.#...
#.##..#.#..####..#.#...#.#...#.#.##.####.######.##...#....##..#...#.....##.#####..##.##.#...#.#.#.#...#######..#.####......#.###.##..#.##.###...#.#.##.###.#.######.###...#.#..##.#.####....####..######.#..###..##....#..##...#.##.####....#.#..##.#.#.#####..#.##.#.......#...#...##.#####..#.#####.######...##......##.#.###.#.#.###...##.#..#...##.###..###.###..###.##....###..###.#.###.#.#.#.#####....#..###...##.####...##.##.#......###.####.#.##..#....#...###..##.#..#.#.##.####.#...##....####..###....###.##.#.####.##.##..#.##.####.#......#.#.##.##.#.##...#####.##...###.#.....#.#######..#..#.#..###...#..##......#.....#.#...###....##.####.#.###.#..######..##.#####..#.###....##...##....#.....##.##...#.#.#####.#.#...##.#..#...#.##...##.####..#...##.##.#####....###..#..#...#..#.##...#.####.#.#...#.##..##..###..#...#..#...##..##.#.#.##..#..##.##.##...#.##..#.###.###...#####.#..##..##.##.#.###.##.#.##.##.#.#.#.#####...##...#.########..#..#..###.###..#.#..#..####.#.##.#..######....#####..###...#...##..#.....###...#.####...#######.#.#..##.#.##.########...#.#.#.######.#..#...###..###.#.##...#...#.#..#..###.##.##.##...###...#...#.....#.....#.#.##.....##.##.#..#...###.#.#.#....###.###.#.....#...##.#...#..#..####..#.#.####..#....##.#.###.#.######.####.##.#.##.####.##.##..#.##..###.###.....##..####.#...##..##..#.#..#..####.##...##...#.#.#.##...#...#.#..#.#..##..##.######.....####...#.#....#.##.###...########.##..##..##.#....#.#.#.##.####.##.####.###.###.#..#..####.#..#...#.#####...#.#.#.#.###..#####.##.#.#.#..#...#.#...#..###.#.###..##.#..###.##.###..##.#.#.#.#..#.#.##.###....###.#..#.##..#.#....#.#.###.#.#..####..##.##.#.#.##.##..##.#.#..######.####..##.#...#.##.#.......####.#####..#.##.#####.#....#.#.......########...#..#.##.#.##...#...#.####.#..#..#.#####.####......###..#.##..###...##...#..##..#........#.##.#....#...#.#.....###.##.#.##.#..###.#.#...###....#....##...#.#..#....#.###.##.......##.#.##...##.#.###...#......#..###..###.###.##..###.##...##....#...#########..##.#.#....#..###.
....#..###...#....#..##..##.###.##.#....#########.###.##..#.####........#..###.#....###.#.###.#..##.#...###...#..#.##.##...#..#....##.#......###.#..#....#.....#..####.##..###.####.#...####...#.#.#.###...#.....##.#.....#.....##...#.##.###.##.#..#....##..#.#..##.####.#..#.##.#.##...##..#..#.###.#..##.#..##...##....###....#####.##.##....##.#..##...##...#...#..#.##.##..#.#..#.###.##...#.##......#######.###.#....####.#.#.##..##.##.###.#..##.#.##..#####...##.#.#...#.##.####........##......###.##....####.#.#.##.#...#..#...##.##...##.##..#.....#.#######..##.#........#..####.##..####..#.###.###.#..#.#...#######.###.###..#.##.........#.#.#....######.#.#.###.##........#.#.###...#.#.#.##....#.#....###..####.#.#..##..#####.#..#..##.#...#.#.#...##...#...#........##...#..#####.#######..##.###.###.##.####.#....###...####...#....#..#.####.##..#.#.#..#.##..#......#.###....#####.####.#.#..##....###.#####..#..##..#.#.##..##..##.#.#..#.#.####.##..#.##.#..#.##.####..#.##..#.#....#.#.###...#......##..#.##.#.##.#..#.....#..#.#.....#.##.###..##.###.####.##...##.#.....#.###.#..####..##..##..##.####.###..###.#....#.#..#.##.###.#..#.#...##.#.#.#...#....#.#......#.###..#..#....###.#.##..#..###...#...#...###..##..##...#...#.###...##...#.#..#...#.#...###.###.#.###..####..###..#.......#####..#..#.##..##..##....#.#######..##..##.#.##...###.#.#..####...#..###..#.#..###...#...##..#....#.##..#.####...#.....##...#.##..##.#..#.#..##..#.####.#.##..###.###.#......#.....#........####.#..#.#....###..##.....###...###.###...####..#...####...###.##.####..#..##..###.#..##...##..##.##..#.#........#...#...#...#....####.....#..##.#..###.##.......##.####.#...###.#####.#...#..#..#....#.##.#.#.##...#..#.#.#.#..###...#..#...#...###...##..###.##.#..#..##.####..####.#.##.....##...###..#..###.##....###..#.##..#..##.......#..##...#######.##.#.#.........###.#.#.#..######.####.#.###..#.#....##............##...#.###.......#####...#.#........####.###.##.....##.####.#....###.#####.#.#..##.##.##.##.#..#.#.####..##.##..#.##.#..#
.##..#..###.#.###.....#####...##.###..#.##..###.#...#...#.#.#..#..#...####.######..#.######...#.......#..##.####..##..#..##....###...#..##...#........##..#.#.##.#####..#...##..#.##.#.#####..#..#.##.#....####.#####.#..#.##.#.#.....#####.##...###..#..####...##....#.#.#.#..##.....##.......##..#..############.####.#..##.#...#..##...#.#..####.#.#.#.#.#.#.....###.##..#####.###..####.#######.#..#..###.##..#..#...#..####.#.#..#..###....#######...#.####.#########..#..##..#####.###..#.###.#.##.#.#.##......#..##.####...###.##..##.#..####.##.###...###..#..#####.#.#..##..##.#...#......##...#.#.#.#.#.####.##.#.#.###.#.#.#..##.#.......#.###..##.##..#....#.#..#.#.#.####.#.#..##..#.#####...#..##.#.##..##..#.#.#######..#.##.#..#...######..#.#.#....####.#.##.##.#.#...##.#.#.##.##.###...###...##.##..#.#.###..#..#####.###..#..#.##..##...##.#.##.#.#..#..#...#..##.##.....#.##.....#.#..####..####...##..#.####..###..#....#.##.##..#.###.##.#...###.#.#.###.#..#..##..#.#.#.#######.#.#.###...##..###...#..#.#...####.###.#...###.#..#...#.....###.#####..##..##..#####..###....#.###.##..####..#..#.#######..#....#...##.#.....#.#.######.#..#..#..#...####.#.##.......##.#..#........#..###...##...##...###.##..#..##.....#.#.#.##...........#.####.##..#..#.###....##....##.#...#...####.###.####...##..#.###.#.#####.........#..#.....#.##...#.##.##.#.##.....#.####.#.######..##.....###############.....#......###....##.#.#.#.#..#.#.#.#..#.#.#####....#.##.#.######.#####.###.#....#......##.#.#....#..####.#.....###.#####..####.##.###.##....######.#.##....###..#.....#.####.#...#.##.##..#...##.#.##.###.####.####....##.#.#..#..#.#.#..#.##.##.#..#.##.....#...###.#..#.#.#....#.###.#..##...##.####....#.#.#...#.#...####..##.#.#.##...##.#.#.#..###.##.####....#.##.#...###.#.#..#.#..#.#..#.#.....#.#.#.#..####...###....###..##..#.....########.##..#..#..#..#.###.#.#..######..#..#....##.#.#..#.#.###.#.##.#...#..##.........###...##........#.#.##.#.###.##.......####....##...#####.#..##.#...##.##.####.#.#.#.....###...#.##.#..#.....
##..#..#.....##..##...##....#...###.######..##...###...##.##.#.#...#.#..###...###.#...###....##.###..####..#.#..#.##.#..#...#.......#.#.#..#...###.#..####.....#.#...#...##...#####.####..#####..#.........#.#....#..##.##.#.##..#..#..#.##.###..####....#####.#########.#....###.#..##.####.....####.#...#..#...#.#####.##..##...#####...#...###.######..#.##..####.##..####..###....#.#........###.#.###.#.#.##..###.##.#.###.#.#....#...####..######..###.###...###.##.#..####..##..#.##.#.##.....#.#..#..#.########.####..##.##.#.#.##.#.####....##...####..#.#.##.###.....##.###.##..##.######..###...#.##.#.#.#.##...#.######....#...#.#......#.###..###.#..#.#.#..####.....##...#...#...####..####...#..#.##.##.##.##.###.#...##.#...##..#....#.##.##.######..##...##.######..##..#..#.#..#..#.......###...##..####....###.##..##.##.#####.##.#.#.#.#######.#.#..#..#..###....##....##..#..###..#.####.....##...###..#..#...##.#.#.###.##.....#######..#####..##.#...#.#.###.#...####...##.####....#.....##.#..#....###.#.##....##.####.#.#.#.#...##.##.#..#.##.##.#....#..##..##..#..#...#...#...#.##...##..#..#...##....##..##.##..####..######..##.#....##.#.#..##..###....#.#.###...#.##.#####.#....##.##.......##.#.#..#..##...#..#..######.#...#...##.#.#.##...#.#.##.##.#.##.#####..###...##.....#..###..#.......#..#..####...#......#.####.......##..##.....########.#.##.##.#...#....##..####..#...#..#.#.#..#..#..##..#...#.#.#.#...##.##..#.#..#..#.#.##....####.###...#.##.###.###........#.##..####......##.##.##..###..#........#...##.##....#.##.....##....#.#.#.#.#..#.#...#..###....#.#..#....###....#.########....#..#...#.####.####.#.##....###..###.#.#.....##..##..#....#..#.#.##..#####.#..#.#.....##.##.#...####.#####....##....#..#.####.###...#####..#..##.#..##.###..#..#..#...#.#.##.#.#...##..#.#..##.#.#.####.#.##...#....#.......###...#...###.....###.####.#.#...##..####.#.##....##.##...#...#.#....##...#..##.##...##.##....#..#..#.##.....#.#####.###..##..####.....###.##..#..#.#.....#....##..####..#..###......#.#...##.##.##..#...#
#..##....###.#.####..###....#...#####.#...#.#.#..######..###...#.#.####.####.###..#.#.#..##.....#.###..###.##...#.......#.###..#####.#.##...#####...##.#...####..#.....#####.#.##.##.##.####..#.#..##.###...#####....##..##..#####...#.#.#...###.##...###.#.#.....#.#..#.#####.....#####.#.#..#########.#.###.###..########.#...#.#..#.#.####...#.#.###.....######.##.#.#..#..####.#.###....####.........####...#..###.####..#...#.......##.#....#.##..###.#..##.....###.....###.#.##.##.#.#.##.#....##...#...#....##.#.###.###...##..#...##...##.#.##.....##.#..##......#.##.###..#.##..##...#.#.##.##...###.##......#..#####..##..###.#..#.###.#.#.#.#####.####.#.#.##.#......#..#.###...##...#.#..#.######..####....#.#..#..##.##....####..#....#########.#..#.#..##..####...#......##.#.##..#..##...#.###.#.###.#.#...#######..#.#.#.#.#.###.####...##..#..#..###.###.#...#######.#....#.#...#....##.#.##.##......#.###......##.##.###.#.#..###....#..#...###.#....#..#.###..#....##.####.#..##...#.###...######..#...##.#..#.#....#####.##.##.###.##.#.#.#.#.#.#.###...##....#..#.#...#.####.##..#.#.###.#.#..##.##...###...#.##...######........#....##...##..######....#..#...######...##...##..#...#..##.#..###.##.#.....###.######....##.#.#....##.###.#.#.####.#####.#.......#..##########.#.#.#.#.##.#.###.####.###.####.##...#.#.#.##...####.#.#########...#.#....###.##.####.####....#.#..#.##..#..##...####.#.#..#...##..##.....###.##....#.###.##...#.#..#..#.#.#..##..#####.########.##...#.####.......#.#..#.###..#..##.#..###..#..###.#.##.##..##.###.##.#...##..########...#..###...#..#.#.#..##.##.#.#####..###...###..####..#...#.#####.....#..####.##.##..##...#..###########.##...###.#.#....###.....#.#.#..#......##.##...#..#...#..###.###...#..#.#.#.##...##.#..####....#.#.##..#####.##....##..##....#.##.#...##..#..##..#.#.#....#..#.....#.....#...#..#.#.####.#...##.##..#########.###.##.#.....#....#...####.#.#########....##...#..#.#.....##.#..#...##...#....###.#.####.##.#.###...#....#...#.##.......#.###.#....###..##.....#######.###.#...
.#...#####.#####..#.##.#.###..#....#...........#......##.##.#.##.#.#.##.##....#.########..##...#.#.#.####.#.#....##..##....#.##.####...#..##.#.##..#.#..#.#.##########............#.##..#..###.#.#.#.####.#####.####.....#.#..##.###...#.#.#.#...#.#....##...#.##.#..##..##.##.#.###..#.###..##.######.###.#..#.#.#####.###..#..#.#.###.#.#.#....#.##..##...##...#....####.#..##.#..#..##..#.#..########..####.#.#...#......#...####.##.###...#.####....#...##..#...###......##.....#####.#.###.##......#.#######.#.###.#..#....##..#.####.#####....#....##..###.#.#.####.###..#....#.#.#....#..###.....##..#.####....##.#.##.#..#.#..#....#.....#.####...##.##.##.####.######...##.#.#.##.##...####.#..#.#.#.....#.#..#..#....##.#.#.#.#..##..####..####.#.####...###.#...#..###....##...#.#.####.##.####....##...###....#.###.#..###...#.#.#...##....###.##...##....#....#.#.#.##..#..#...##..##.#.##.##....##...####...##.#....##...#.#.#.#..#.#.##.#..##.#.##..###...#....###..###.#..#####.#..##.....##.##.###...............#...#..#...#.#.#.##....#....#..#.....#...........#.#....###..##.#.##..##..#.##.#.#.#.#.....#.##.###.....#..#.#.#..#.#.###...#.#.##.#.#...####.#.##.#.##..#.#..###.#..####.##..#..#.....#.######..##.#.####.#.#.###..####.######.###.#..#....###..##...#######.#.##..#...#.##.#.##.#.#######..##.#.##.#.##..##.##.#.##..#.#.#######....#..##..#..#..##...#.#..#.#..##....#.....####.#....#.####..######..#.####..#..#.#.#..#......##.#..#.##..#...##..#####..####..####..##.#####.##.##.#...##.##.....#..##.#.......#.#...##.###.#..##.##..#...#..####.#..##...###.#.........##..#.#...#.#.#.#.#.#.#..#..####.#.#.####..#....##....#.##.##..#......#.#.#......###.###..#.#..#...#...#.....##.#..#####....#..###.#.....##...###.##..#.##.####.#.##.#.##..#..#.#.#.#.#...####.##...#.##.###.##........#....#.#...#..#.###.#.###.###.....####.##.#.#.#.#...##.#.......#.#.#........#.#.####...####.#.#.##.####.#.#.##.###..#.#####.######..##.#.###.#######.#.#..##..###.##..##..##..#.##.##..###..##..#.##..##...##.#.##.....#.###..######.#..###
#....#..#.#....##..####.#######.#.####..##.##...#....#..####.#.#...##.#..###.##.###.#.#.....####.....#.#......#..##..###.#.####..####.#.##..##..###..#.###.##.#.##.....##.#..#.##...##.######.#.#..##.##.#..#..#..#.##..#..#.##.##.##.......#####...#.###.###.###.###.##..##.#.#.#...#.#.#.......##..###.##.##..#.....#.#####.###.###..#.....#.##.........###.#.##.####.#.#.##..##..#.##..###..#..###..##.##.##.#..#.#.#..#...###..###.##.##..#.#.###..##..###...#..#.#..###.#####...#####........##..##.####...##....########.###..#.##.....###...#....##...####.#.##.##.#...###.#..#.####.#.....##.####.##...##.#.##.....##.###.....####..##.#.##.##..#..#...#.###.#.##.#.##...####..##..#.#.#..#.#####.#.####.#........##.#....#.#...##.#####....#.###.##.#..#.#....####.#.#.######.##....#....#####..##..##...##.####.#.....#.###..###..####.#...#..#.#######...##.#.#####.#.#....##...####.#...#..#.#...####...#.##.#.#.####.#..###....##.#......#....##.##.#####.#..#.##.#.###.#.#.#####.#.###.#.###...###.#..#...#.#..##.#####..#..#..#...##.#.#.#.#.#.##.##.##.#......#....#....#.#....##.#..##..##..#..#.##...##.#....##.###...#..####...#...#.###.##...#.#...#...#..#....###....#.....#...#.##..##...#.##.#.##...#.#.####....###.#.##..##.#.#..##...######.##.#........#.#.#..#...######.##..##..#....##....#......##....#..####.#...#..####.#.##.#..#.#.#..#.#...##...##.#..#.##.##.#..#..#####.##.#.#.#####.##.#.##..####........####.#.####.####..#....#.#.##..####....#...#.####....####.#.#######.##..##...##..###.#.#...##...#.#.##.#..###..#.##.#...#.#...####..#..#.##.......####..##...##.#.#.#...#.##....##.###.#..###.#.#.###.....#.#...#.###.#.##..#..#.#.#..##...#........##.#....#..##....##.###.#.##..#.#####.##.#..##.#..#.###.##.#.#.######..##.#..##.##.#####.#.#.##..###..###.#.#..##.##.####..#.##.#.#######.###.##.######.#..#..#..#.#.#.#.#....#.#.####.#.#.#..####.#.##...#....#.....###..#.##..#.#..###.###..#..#.##.#..###.........##.########.#..#.#.##...##.#.#..#.##.###...#..#..#.#.##.#.#.##..#..#..##.#.#.#.##.####.###.#....##.#....#.
...#.#..#.###.#......#..#...#.#..#######......#..#.####...#..##.##..###.....##.#####..#...##..#...##..###..#######.##...##.####..#..#.#####.#......#..##..####.###.#...#..#....###.#..#.###..#.......#.####.##...##.##..#..###.#..###...####......####..#.#######..##.#...#.#.#...#......#...#.###.#...##...#.#.#.#.#...#.#########...#.##.#.....##.###..#..##.#.#.##...#...#.....#..#...#.#..##.#.#####.#####.#.##.....#..##...#.#....#...###...##.#.###.##.##..######..#.#.###.####..##......#..##.##.#..#.#.#.####.#..#.##.##.#......#.#.####.###.##.#..#####.....###.#.###.#.####.#.#...#...#...##.....#.#.#...##..#.#....#.###...####.###..#.#.##.#..########...####..####.###...#.####..####..##.#.##.##.#.##...##...#....#..#..########.#.#...#.##.....##.#.##.#...##.#.##....#######..###.###..#........#.#..##..#.###.#..#...######....#..#.#..#.#.##......##.##..##..#..#......#.....##..###.#.#..#..#...##.#.#.#####...#.......####...##.....##.##..##..##..#.....#.#######.###......##.#.####.....####..#######.##..##..#..#.##.#..####..#....##.##.####...##..#.###..##.##.#.#.##..##....#.#...##....#...###..#.##..#.##..##############...##....#..#.###.#.#####.#.##...#.###......######.###.#.#.######.##.#..#...####.#...#...##.###..##..###..#####..########.##.#...##....##.#.###.....#.##.###..###.##.#####.#..#.....###.#.#.##..##.#.###.....##...###.#..###.#..####..####...#.##.#....#.##.####.#######.#.####...##..##......#.##.####...##.#.#####...#...##.....#.##.##.....####.#...#..##.##...##......#.....#..#..#.###.##.#.....#####...##.#........##..#...#..#.#######....###.#.####.##.#..####......####.###.#...##..#.###.#.#.####.##....##.#.....#....#.#####.#..#.#.###....###..#.##.#.#.###..#.#.#.#..##.##.#.#...##.###....#.###..###..#.###..#.###.##..###.....#..#.####..#.#.#.#..######.##.###.#...##.##.#..#.##.#####.#.#....#..####.##..##.##...##...###.##......##.....##..#.##.##..###..##..#..##..###....###....#.###..#.....###.##.##.#.#....#..#......#.##.#..#.#..##.#.....#.##....#.#....#.....#.###..##.#...##.....#.#....#####..
.###.#..#.##.#.###.##.##....##...#.#####...#......##.#....##....#...##.#...#.#......###...#...###..#.#.#..####.#.##..#...##....#...##..#######..##.#.#.####.##.#..#..#.###.#.##......#.....#..##..####..##.#...#.###.##..###.#..#...#.#.##.##.####.#.###.#.##..#..#.#.....#..######.#.####.##.#..#.#.#..#.#....######..##..#........#...##.####..##..####.####.###.#....#.#.#..#.#####....#..##.#.#####....##.##....##..##..##.#..#.####.#####.#..##.#..###.###.#..#..###.#####..#.##..####.#.#...##.#.##...#..####..###.##.#######...#...#...#.###..#...##.##.....###..###.####.##.#.######.##..#..###.##...#.#..##..#.......#.#######.#.#..#..#.#..##..##.###...#...#....####.#...#.#.###...###....###.....#..##.###...###.##..#....#.#....##.##..#..#.#.#.#..#.#....#.#..####.#.#.#..##.#..#####..#..#......#.####....##.##.##.#.#.###....#...#.###...#....##.#..##..###.######.....######..#...#..#.########..#.##.##...#.#.##.#####.######.#.##.#.....#..#.###.#.#..#####...##...#.#....##...####.#.#####.#..#.......#.......###.######....#.##.#...#...#..##....###.#.##.#..#......##.#..##..#.#.##.#..#.##..#####..##..#.###..#.####.##.#....#..####.#.##.#..##..#..###.##.#..#.####.##.##..#..#.##.##..#....#..#..##.#.#####..##.##...###...#..##.####.#....#####.....###..#....###.#.#.#######....###..#####.##.##.#.#.#..##.#.##.#..#..######.#...............#.###.##.#..######.#..#.####..##..##....#.#.#...#.#.#.#..#.#.###.#..####.#..######..#.#..###..#..#.#..##...#..###.#..##.###.####....##......#.#.##.###.#.####.###..###...###...#...#..###...####..##...###...##.#...##..#..##...###..#.###.####...######.#..#.##............#....##.##.###..#..##..#..#...#.#..##..####....#.#..##.#.##.#####.###.#.....#...####.###..##.###....###.#.#..####..#....#.#...##.###......#.###..####...#.#.###..#####.##.#..#..#.#.#.#..###..##.#.....###....##......##.#.....####.#....#.#...#.##...##.#..#..#.##.#...###.....###.##.....##...##.#.##.#.##...###..#.###.##........##..##...##.##..#..###.#######.##...##..#...###.##..#######...#..#...#....#..##.##.####.
.###.#.##.#.###.#.###.#.#..#.##.###.###..##.####.#....#####......#.#.#....##.##.#..##.####.#...##.###.....####......##.###..##....##...#......#.#...#.#.###...#.#..#.#.##.#.#######.#.#..#.#.###....#.######..##..#..###.##.#####..##...##..###...#..#...##...###.#..#.#..#.....###..#.###.#..#.........#.#######.#.#....##...####.##.######.##.##.......####.##..###..#..##.#.#..##.##.###......#.##..###...##.#.##...##.##.###..###...#.#.####.#######.#.#.###.##.####..#..#...###.##..#..####.#.##..######.....##.###.#.#..##..#...#...#.##..#...##.#..###.##...###..####.#.#.#....##.#####....#.###..##..###..#..###...#....#..#..#...#..###...##..####..###..#...#....###.#.#.#...####.#.....##...##..#.#..#..##.##..##.#.#..#..#..#.##.#...#.#.####.##.##..##.....###......#####....#..##.##.##..#.###...##...#...##..##.#####....#......#....#.#.#.#.#..###..#..###.##..##.#..###..#..#.##.#####....##.#..#....#.#..#..####..###.#.##..#..#.##..#.#..##.#..####..##.###.....##..##.###...#######..##.###...###.##.##.#.....##.....#....#..#.#####.#..###.#######.##...#.####.#..###.#.##.##.#.##.#.##...#####....##..###..##..#####...##.##.##.#..#.#.#####.#.#.#....#..##.###...#####..##.###....#...#..#.##.####...##.#.##..#.#....###.#......#.#..#...##..##.#..##.###.#.....#...#.##.##.#.#..###......#####.#.##..##...#######..##...#...##.....###.#.#...###..##.#....#.#..#....#.#..#.####.#...##.###.####....#######....#..#.#....#..######.#.#...#..#.#.....##.#..#..##.#..####.##..#.#.....#.#.##.#....###.#...###..###..####.#....###..###.###..######.##.#######..#...##.#..##.###.#.#....##.##.....###.#####.#.#####.#.#....#...##..#.#.##...#.....#...#..#..####.##...#.########....##.##..#..........###.##.#...#.#.###...#.##....##..#..#..#########....#.#...#.#....##.####......#.###..###.#######.#..#..##.##.....#.##.#.#....#.....#..#..##...##.#.##..##.#..####.#.#....###.#..##..#.#.#..###..##...###..##...##...####.#..##..#.##.....#..#....####..#.#...#..##..#.##.##..##.....#####.##....##.###..#..#.###.....#.###.....##..##..#.#...#.##.#..#
..###..#.##.#...#...#..####..#.#.###..######..#.###.##.##.##....#...##.#..##.#####.#.###.#..#...##.#.#...#.####.##..........##.###.######.......###.###...##......#.##.#..#.#.###.#....####.....#.#.#####.#.#..#.######.#.##.###.....###..#..#..#.###.####.#..#..##.##..#...#####..#.####..#.##.#..#...##.###..##..###.###....#...#.....###....#.#.#..####..#.######...#..#.#....#.####.#..#.#..####.....##.##.##...##.....#..##.##....#.####..#.......#.##.#...#......####..###.#.######.####...#.#####..#.###...#...#...####.#.##...#..#.##.##.#.###..###..#..##.#####.##.#.##.....#.####...##....#.#..###.........#.#...#..###.#...##...#.#..##.......#..#.###.##...#..####..#.#..####.###..#.##..#...###.#.###..#..##..####.#..#....##.##.#...#....#...####..#...#.#.#.##..##...##.#.###...##..#....#.#...###.##....#..#.###...#.###...#.##..#.####..#...####.##.....##..##.####.....###.#.##.#..########.###.##...###.##.###..###..###.#.#.##.#.##..###..#...#.#.#..#.###...##....###.##.####.###......###.#..#####.......##.#...###.####.##....#.#.#..######.######.....##.#.#.###.#...####...#..##....#####..#..#..#.#....#...#.....#.....#.###..#.#####.#...#.#.###...#.#....#......##.#.#.#.####.#....####.#....#.##.##.#.##...######..###.##.#...##....##...#.#..##...#...#......####...##..###..##.#.###.##.#..##.###..###.##.......#.#....#...##.....##.##.#.#.##.###.####.##.#..#.###.##.##.#....###.###.###..###..#.#####.###..#..#....#..###.##.#.##..#.#.....###...#....####.##...#..#.####.....##....###.#.#..######..#.####..#.#..#.....#..#####.#....####...#......#..#..###..####.###.#.#####..#.##.######.#.#.##....###.......#....##.#.#.#####...##......###..##..##...#.#..######....##...##......##.#.#......####....#.#.......###...##.#.####..##....###..#........##..###.###.#..##.#..#......##.###..##..#.#...##.#..#..#.##.#.#....##..#...###....##..#......#.#.#.##.#..#...##.#..#.#...##.##.#.....###..#######.#..#....##.##.#..##..##..###...#..#...#.#.##.###....###.#.##.#.####..####.###..#..###.##.#...#.#.#..#.#.##....##.....##..#.#.##..#
.#.##.###.#######..###....##.##.####.#..###..##....#.##...####..##.#.##########.##...##..###....#.#...#########.#.########.#....#.#.#######.....######.#...##.##.##...#.##..##...#.#.####.#......#.......####...###......####..#...#####....#.##....##....#.......#..#..#.#.#####.#..###..#.#.##.##.#..#......###...#...####..####.#.#.#..#..##...#.##...#.#.#.#.###.#####.#...#####...#...#....#####..##..#.##...#####.##.##..#.#.##..#..##.##.#.####....#.#####..#....###..#..#.#...#........#####.......###.##.#.#.##..#..#.##..##.#..#....##..##.#.#.##.#......####...#.....#####.#....##.#...##..#.#.#.#.######.....##.#.#.##..##.##....#...#..#######..#..#....#.###....##.##########.##.....#.....#.##.#.#####.##..#.####.#..##.#.#.#....#.##..##..#####.....#...###.....##..#..#.#.##.####.##......#...#.####...#.##..####.######.###.######...#.###.#...#.##....#..##.##.##..###...#....###.#..#.##..#.####...#.##.#.####..##.#..####.#..##.##.#..###.#.#.#####..#.##.#.#.#.##.######.#.#..#########.#.#..#.#....#.##..##.####...###.##......#.....####.####.###..##...##..##..#.#.#.#.##...####...#.#....#..######...#..#.##.##..#.#..##.###.#.##...#.#.#...####.#.#..#..#...######..#.#.##..##.....#.#....##.####.#...#...#.#.#.....###..#.###.#.###.###.###...#.##.#.##.###.#......#####.#.##...####....##..###.....#.#.####..#..###.##..###..###..#...#..#.#.##.######...#.##.###......#.#......##.#.#####.#.##.#..###..####.#.##.#.#.....###..######..#..#.....##..##.##..#.....#...#.#..#####..###...#.....###..##.#####.###.####..#..#####..#..#..#...####.##..#...#.#######.##.##..###....###...#####...#.##..#..#....####.###.###..#..###..#...#..#...#.#....###.#..........##.#.......#..##.#..#..##....#....##..#..#.##.###.....#######.######.##..##.#.#..##..######..#...#..##...#......#..#.#.#...##...###..####.#..#.##...###.##...#.####.#...###....##.###.#..###....##.#.##...##.#####.###.#.#########.#..#.......###.##..##...##...##.####.#..#####.#.....#..#..##.#...#.###.#.#....#.#######..#...#.#.#...#..######..#.#####.#.##.###.#####...###..#
#.#.#.#.###...##.....##.##..#.###.##.#..###.####.#.#.#.##.#.#...#.#....##.###.#.####..#.##.#....###.#.#.#..###......#.#.####.#.#...#..####..##.#.........##..#.#..#.#####.#.#..#.####..#.#..#.#..#.#.#.#...##.#.#...#........##.#..#.#...###.##..#..#.#.....###.###.##.##.#.####.#.##.##......#..###.####..#....###.#..####...###.#.##..#......##.#...###.#.#.#.##...##.....###.##......#.#.#####..#.#.#.........##.##.#######.#....#.#...##..#.##...#..#.##.##.#####..####.........##.##.#.####.##...#####..##.#....#.###..###.##.#..####...#.#.#.#####..#.#...###....#.#.....##.#...######.......#..#.#.#...###.##...######.####..####..#####.##....##.....#.....###.##.#....###.#...##...###.####.#.##.....##.##.##.#.###...#.###...#.###.....#..#.#..#.#.#..#.##.##.#.##....#..###.##....#.###....#........#.#.###.######.#.....#..#..##.###.#.###....#.#...#..#...##.#...#.##..##....#.####.##.#..#..####.#.###..##.###...#.#...#.#....#..##..###....###...##.#.#..###.##..###..#.#..#....#..##.#..##.#.##.#.#.#.#.###..##.......#.#.#..######...##..###..####.#....#....###..#.#.#..##...#...##....#.####.#..#.#..#.#....#.#..##.#...##.###.##....##...#.###.#.#.....##..##.....##.####.##...##..####.#.#..#.##.##....#..###.#.#..#.####..##..#..#..#.#...##.##.##.#...#####.#...###.##.#.#...........#..###.#..#..#.#...###..##.##..#..#......##.##.##.#..#####...#.#..######.#.##.#.######.#.#.#.####..####......#.#####......######.....##..#.#..##.....####.##.#..#####..#.#.#..####..#..##...#.#.###.#....#.#...#...##....####..##..#...#...##..#....##.#.#.##.#####...#..#.#.##...##.#.##.######.###...#.#.#.#....##.#..##.##.#....###....#...#.##....#..#.#.#..#.#..#..#.....####.##.###..##.#..##..#.#....##..###.........#.###...#######.#.#...#.#...#..#.#.#.###.####..##....####.#.###.####...###..#..#..####..#..######.#..#..####..#.####..##.######...#.#.#.#....##..#.....#...##..##.##....##.######.##..##..#.###..#########.#.##...#...#..#..#....##..#####....#.#..###..##.##...####..####.####..#....#.#.#.#.##...#...##...##..###...#..#.##...#..##..#
.##......#.##..#.###.#..###.#.###..#..#.#####.##..##.#.....##.##..##.#.####.#.#.##....##.#####...#..#.#.#.#.##.#.#.##.##..#....###...###.#..#####....##......##...##..#.#.##..#.#.#.####.###.#.#.#.....##..###.#..##..####.......#.##.#.#.#.#...#.#.##.#.#.##..#....#...##...##....#.##.###.#####...#...###..####...###.#..####..#..#.##..#....###.##.####...#..#####.#.##.#.####.#.#..####.##.##..###....#......####.#######.##.##..#..#..#.......###..#...###.#.#.####...##..#.###.#.#.#.#..#.#.#...###.#.#.....##.###.###.#...##..#.##########..#.........##..######..#.#.####....#.#.#.....#...#.##...#.#...#...##..##.#.####.####..####..##.###..#...#..##.####.##.#.#..#..#.##...##.......#.....#.#...####.#.##.####.#..############...#.#.###.######...##......#####..##.##...##.#.#...##.#....#.#####.#..#..##.#.###...####...#####...#......#######...#...#.#.#....#.#..#.#..#.....##....####....###..#..#...##..##.##.#.##..#.#.###....#.####.#.#.#.##..#.#..##...#...#.##.#.#..#...###..##..##...#..#.#...#.#..#....#....#...##########...##....#.#.#...#.#.##.#...#..#.###.##.##.##.###.......#..#......####.##.#..######..#..#.#.#....#....#..####....#..#......#..##..##....#..#####.####.#.##...#.##...#..#.#.#..#.#.......#.....#....######....###..#....#.##...##.##.##..#..###.##...###.....#....#....#.#.#######...#..#.#.#####..####.#.###...#.####...####..#######....####.##..##.#..##.#.####.#..####.#..##.##..##...#.#.#...#.###.#.#..######..#####..##.#......#..##.###..........###...#..###.....##...#..####......#..#.#...#...##..#..#....#.....##...#.##############...##.#.##..#..###.#.#.#..##.......#.#......##.######.#..##..#..##.....#.###.###..##.##..#.#####...#...##.####.#####..#.##......#.#..#..##...##...##...#.....#.#.##...#....###..#.##..#.####.#.######.#...#.##..##....#.....#.#..##..#...####.##..###..###..#...#..#####.#.##..#.#...#.##.#...#.#.###..##.##..##.###.#.#...###.#..#.#.###.#.#....##...#.#....##.#.###..#..#.#.##.#..######.##..#.####.##.#.####..#.#...#.####.#####.#.#.##..###.###.#.###...#..###....#...#..#.
#.#.###..###.####.#.##.#.#....#......#...#.....###.###....#.#.#..#....##...######.#####...#.####.......#.##.#..#.#.#.###.##..#..#..##.###..#####.##..#.#...##.#.####..#.#######.#.#####.#...##.##.##.#..#########...#..###.#.....##.#...#..#######.#.##...#####.#....#......####.####.....#####.#..#######.#....#..##...#.....###..#.#......##.###.###....#..#.##.##.###.######.....#.##..##..##..#.###.....#...#.##.##...#.##.#..#.##.###...#.#.#...#.......###########...####.####...#.####.###.####...##.#....##.#.##.###.###.###..##.#.#...#.#.#......#....##...#..###...###.####.####......###.#..#.#...#.##.#.#.#...##.#....#..###...##..##...##...##.#......#..#.#.#####.##.###.####.#.#...##......##...####..##.##..###.#..##.#.##.######....####.#.###..#.#.....###.....#..#.##..#.##....###...##.##..#.#.#.....#..#.#..###....#.##......###...######...###.#.#.....#####.##.##..#.##.#####..#.#..#.###.###...##...##.#.#..##.#..#.#.....##...#...#.#.###.....##.###########.###....#.#...#.##..###.##.#######..##.#..#..##.#.....#.#.##...#.#.#..##.###..###.##.##....#.#......#..###.#...#.##..#.#.##.#.#.####.######.##.###.....#.##....#.######......####.#.##...##..####.#####.#..#..#..##.#.......##..#..##.#....##.#.....#.#....#...#..#.#.###.#.#..#####..###..####.#.......####..#.#.#.######.###.#.##..#.##.###..#..##..#.#...#.#####.#..#....#.#.##..##.#.....###....##..##.##.##..........##.######.#.#..##.##.#.#########.....#..###.###.##.####.#..#.#..##..###...####..#.#...#..#...#..##.#...####.....#....###..######..##.#..##..#.#####.##.##...##..##..#..#.#.#.###########.##..#.........##.#.#.##.##.#....#.##..#####.##..#...#.###.#...####.#.#.#######.#####.##.##...#...##...#..#..#..###......#####....####....#.####.#..##.##....##..#..###.#.#..#....#.#..##..#.#....#..###.#...##.##.#...###.#.##..#.#.####.....#.####.#.#.###.##..###...#.##..#..#.#.######.#..#..#.#....#..#...#..#.#...#.####.#.....#.#.#.###..#..#####....#.#...#...##..#..#.##...####..#...#####..##.#####..#...#.###.##.##...#...#..####.#########..##.###...#..#..##
#...#.#.....#.#.####.#.##........#..#...#.#....###.#.#.#.##...##.##..##.#.###....#..######.#......##.#....#.##..#....###.#.###..##....####.#....###.#..#.##..##..##...##.##..##..###.####.####.####.##.#..###.....###.###......#...#.#..#........#.#.#..#.#.#.##...##.#.##.##..#.#..###.....#.###.#..####.#.####.#..#...#.#.#....#..#..##.........###.#...##.#.##.###....#...#.##.#.#...#..###.#.#.#.##.#...####.##.....###......###.###.######.#..####.#.##..#..####.#.###..##.....##..#.##..###.##.#.#.#....###.#...#####..#...###.##.#####..#.##...#.##....##.###.###..#...##..##.#####...###..#..#.##.###.#...##.#...###...##..#.##...####.##.#####.#.##....##.##.....######........##...#######..##.####.#.#.#####.##.###..###.#..##.###..##.#.#...#...###....#..###.#.#.#.##.#####.####..#.#.#.#.#...##..#.#..#...#####...#..##.#...##....#...####.#.##.#.##..####.#..#...###.###..###.#..#####.#....#.#.#.#.###...##.#..##..#..#.####.##...#....#.#..##.#..##.#.##.###.#######...###.#...##.###..###.....#.##.#.#..#.##.##.#.#.#.....#...#..##..####..###..#######...#...#....#.....#..#..##..#.##..##...#..##.##...##.##.#..#.#.##.....##.#....###.###.##..#.###.#.#..#....######.#.#.##..#####.##...#.#####..#..#...#...#..##..##..#...###.#..#...#######.#..#...#......#..#.#.......####.#...#######..#...###.##.##...#.#..####.#.#..#.##.###.#...#..#####.#..#...##.#.#..#.#......#.##..#.###.###.#...##.##.###.#..##.##....##.#..##...##.####..##.#..#..##.#..#..#####...#.#..##.#.#..#.....#.#.#..#.#..#.#....###...###...#.#....#....#####.#.#..##.###..###....###........###..##.#..##.#.#.####.#..#.#####.....######..##.#...#..#.####...#.##..#..#..#.####.###.##.######.##...#..#...#......#.#.#.#.#....####..#.##.#.##..###.#.....#.##..#.....###.##....####.#...####.#.####..#..######...#....#...###.####.#..#.###.##..###.##...#.#.#.#...#.###.#.##.##.#.#..####..#...#.#.##...#...#..#####.###..#.###...##....#.#...##.###....####.....#.##.#..#..#..##.####.##.##...#.#.##.###.###...#.#...#.#.#.#.#.##..#..########.##.....#####....##..###.###.#...##.
##.###.##...#..#.##.#.#.#..#.#..#.######.##.###.#.##....#..#.####..##.#..#..###....#######...#####..#.#.#....##.#########.#.##...##.#.#.#.###.#...##....##.##.#.##.#.###.#..#....##.#.####..##.....###.#.#.##...##..#.########..###.#.###.#.###.##..#..##..#.###....##.##..#.##.#..###.#...###.#.##.#.....#.#......###..#.##.......###.##....###...#......#.#.#......#.##.###....#####.#...###...##.#.##.####.##..#.#.##..###...##...###.##.#...#..####..#........#.##.#######....#.....##..#.###.####.###..#.#..####.#..#..##.##..#....#.###.#..###.####.#.##.##.##.#........#.###....##..###.#...#..####.#.######..#.###....#..#..##....##...##.###..#.######..#..####.########....##.#.###.##.......##..###.#.####.#.#.###.#...###..####...#.###..##.#.##.####.#...##......####.#.#.##.....#.....#.#..#.#.###.......####.###..#....#..#..#..#..#..##..##..###..###...##.#......##.####.#....#..#.#####...###....#.#.###...##........#..#...##..##..#.##.##...###..##.#...#..#..#..##.##.#..####.#########..#...##.###.#.##.##.#..#......###.#.#...........#.#....#####..##.#.##.####..#.##.###.###...............##.....##....###...#.#...#.#..#.##..###..#.#.#####...#..###.#.....##....#..#..###.......#.#.####..##....#..#.#.#.##..###....#...#.##...#.#.###...##.####....##..##.###..#.#..###.#...#.#.#.##..##....#...##.#.#...##.####.#.#..#.##....#.#..###.#...####..#...###.##..##.####..##..#.##.####.##..#.#.#..#.#...#..##...###......#...#..##.##.#.#####..#.#.#.#.#..##.#.#.###..##..##...#..#.#..#..#..##..#.###....#.####...#####.#.......######...#..#.#####.###..####.###.####..#...##.##.#.#####....##.###.#.#.....#.####.###..#.####.#.##.#.#...##...##.###.#########.....#...####....#...##.#.#..#.#.....##.####..##..#...#.#.###.....###...##.#.#....##..###.##.#.#.#..............#.#...###.##..##..#.#....##.#####.#.#..#..#..#.#.##.#.#..#...##...#...#.####.##.###.#.##.####.##...###.##.#.....##.###....##....###..##.#.#...#####.##.#.##.#.#..#..###...##.#.####.#.#.#.#..#.##.#.#..###....##.#.#..##.###.#...#..##.#.##.##.##..###.#.#.....#...#..
.###....###..####.###.##.###.#.#.#.#....#..###...######..####.#.###.#...##.##.....###.#.#.#.####...##....#.#..#..#.#.##.#.#..##..##.######.#####.####.##.....#..#......#.#.#####.......##.##....#...#.##.###....#.#..##..#..##.#....######..#.#.##.##.#.#.#...#####.##.#...##...##..##...###....####..##..###.##.####.##..##....##.#.##.##.##...###.##.#.###.#.....#.#.###..#.#......##.#..##..#.####....###..###.#..###...##.#..##...###.####..#....##....##..#.###.#.##..##.##...######....##.#.#...#####.#...##.######.#.##...#....####..##..###..##.##.###.###.#.#.##......##.#.#.#.###..###..#.###.....#...#.#...##.#..##..#..#..#.#######.##.#..#.#..#..#...#..##..#.#...##.#.###.##.#..#..##.###..#..###.#....#.#.#.#....#.#..#.###..###...#.#####..#.##..##..####.#....#..####.#..#.#..#..#.#.######...#.#......######..##.#.#.#.#.##...#..###.#.#####..#.##.##.###.###.####.#.##.#.#.##....##..###.#####.##.#....#...##.#######.#..#.#.#.##..#...######..#.#.#...#.##.#.##..#..##..........#..#..#.#.#.##.#..###..#..#.##..####.#..#.#..###.#..#..#.######.#.#..##.#####...#.#.##....##.#####.#####..#..#.#.##...#....#.##..#..####.###..#.#######....##.#..#...#.##.#.#..###....###.#.###.#.########.#.##.#####.#..#...##.##..#.#.#.##..###.###..#...#...###.#.#.#..####..##.#.#####.##...###...##...##.#....#...###......##.#..#.######.###.###.#.##.#.####.##.#.###.#....###.#.#.###.###.###....#.#.###########.##..#....###...#..#....#.....###.#.#####....##..######.#....##....##...#..#...#.###.#.....#.##....###########..####..#..##...#.##.#####.#.##.#.#####......###.##...#######...#.#.#.#.##.....#####......#.#..##.#..#.###.#..#......##.#.###..#.#..#.#...####.#######.#.#..#....#.##..###.#.##.#.#.##.####..###...######.#.###.#....##...#......#.#..##...######.....###.#.###.###.######...##.#..#.###.##..#...#.....#####..###.########.##.......#.#...#..#...#....###.###.....##.####.#.###...#.#..#.#######.....#..####.#......###.....##...##..#.#..###..##############.##...#..####...#####.....###.#.#.#..##.#####.###.##...###.##.###..#.#..#.
.........#.##.#...####..#.#.###.#.#########...#.####....#....###.###.###.#.####.##...##..#####.###..##..##..#...#.#...#..##..###.##.#..##.##.#.....#...#.#...#..#.#.##.##.#..#.........##..###...###....#.....#.####..####.#..........###.#..##..#.#.##...####...#.#######..##...##.##..##..#.##.#.#...###....##.##.#.##.#####..##.##.#.##..#...##...##.####.##.#....##..###...##......###.#####.##.##.##..##.#..####..#..#..####....##....#.#.###.#....##.##.##..#..##..#..###.#.##..#..#..##.###..#####...#..#.#.#.##..#.....#...#..#..###.#...#.#.#####.#.#..###..#..##....###...##..#...###....#.#..###...##.####.##.#.##..##.#.##.....###.....###.#.#.#.####.#..###.###.#.#..###...#...##.#..##.#..#..#..#...####.#.#.####...#.####.#.#.##...###....#.##..##.#....#.##..#...####.###..##.###.###.##...##.#...#.....##.#.##...#..##...#.........##..#..#.#.##...#..#.#....##.#......##.#.....##...#.###..###..##.#.#.##.#.#...###..###.#.##.###.#....#.#.#.#....#.#.##....#.#.##..#.........##.#.#....##.###.###....#.#....##...#...##...#..#..#..##.#...#.....#..#.#...#.#...####..####...#.####.#.......###..#.###.##.....##..##.#.####.#..####..##.#.#.#..##.#.#..#.#.#.#...########.#.#..#...##.#...####...####..##.#.#.###...#####...#.###...#....###..###....#....##..####.#.#..##..###.#..#..#..###.#..#.....#.#....#...###.##..#.#...#.##..##.#.###.##...##.####.#..##...#....#....#..#.##...#.##.#...#....##.#.#.##..##...#....##.#.##.#....##.#.###.###..##.#.........#.####.#.#.##.#..###.########.....#######.#..###..#.###.###.##...#.#...#.###..#....#.#..#.#...##.#..#.###..#.##..#.#.#..#.#.#.#..#.#####.##..#..####......#....###...##.#..#..##.##..#.#..##.##.##.######..###.#...#####.###..#..#.##...........#..###..####.######.###.#.#####.#....#.#.###...##.#......##..####...##..#..###..###.#..###..##..#.##....###.###.#.#####.####..#..#.#.#.###.##..#.###.#.##...##.###..##.###...####.#.#.#.#.#.#.###.######.#.#..#...#...#.#...#..#..####.#.##..##...#####.##.##.###.#...#..##...##...###.##.##.#.....####.#######..########..##.####.#..#...#.
.##.###.#.#.#.#######.#..##.....##..##...#.........##.#.#.#.#.####.##...#.##...##.##.#####.#.##....#..###...###.#.###.####.##..#.#....#.##.#..###..#####.##...#.#...#..#####..###.#####.#......#.####.###.####.###.#....#.#.###..######...###.#.#.##.##.#........#...####..########.####..#.#.###.##..#.##.##.#....#.##.#..########....##..#...#.#..#.#..#...##..#.#......#.##.####.###..###.....#..#...####.##.##.#.##.##.###.#.##...#...###.#.......#.#.#.#..###...##.#.######......##.#.###.#.#####..##.#.###...#.###...###..###.#.#####.##.#.#..###..######.#.##.####.#.#.#.#.#.##....##..##..#.##..###.#.#.#.##.##.###.#...#..###.....#.##...##...#...##..#...#.#...#..#.####.###..##..###...##.##...#.#.####.#.#.###.#.####.#..#.#####...#...###.####.####.#.#..##...#....##..###.####.##.....#...#.#####...##.##.#..###.#####......##..#.#.#.#.##..#.#...#.#.#....#.#.#....####..#...###.##.#.####........#........#...###..####.#.##.##..#.#..##.###.#.#####.####.#.......#####..#...#####.####.####..#.#....#.#..#....###...#.###....#.....###..###........#.#.##.##...#.#...#....###.###.#.###..##.#...#.##..##..##..#..#.#......#...#....###.####..##...##.###.####......#.#....#.#.#.#..#....###.#.###....##.#.#..##...##.##.#.##........##...##.####.###.###.#......##.#.#.#.###.###....####.#####..###.###..#.....##..##....#####.##..#..#.#.#......###.##.##...###.###...###.##.#.##.....###...#..#..#...#.##.##.#####...###.##.#..####.###...#.#.#####.#.#.###..#.####...#####....#.#.#.#####....#.#.#.###.#.#..#.#...#..##.##..#.##....###.#.#.###...#.###.#.##.#....#.###.#.####.#.##.##.##...##.#.#...##.##...##...##.#.#.#.#..#..#.#.###..###.#..#.###.#....##..##....###.##..##.#.#.#....#.....###.#.#.#.#.#.########.#.##.#.##.####....#....##.####...#...#...###.###.##.#.#..#####.###.####..#.##..##.##....##..####.######.....#.###.#......##.#....#.#.#...#.#.###...###.#.##.###.####.#...#.............#.#....##.#.#.....##.###....##..#...##.####..###..##...###..##.##.#.#....#..##..####...###..####..##.##..#.#..#######..##.#.#..#....#.##.###..
####....#..#.##.##..###.######.####..##..###.##.##..##.####.#####.#.######..#....##...##.##.####.#..######.#.....##....#.#####..#..##...#####....#####.........#.#...##....#.....#.##.##..#.##.##....#.#.#.....#.#..##.#.######.####.##.###..........#.##.#...#########.##....#...##.###.......####..####.###.#.#.#..##..#####..#..######.#......##.#...###.#.##..###..#..####.####.#..#..#.####.##.#.#.#..#.#.#.....#.#..###.#..#.##.#..#....#..##.#.....#.........###.#.###...##.####...#.#.#.#.###..##.##.######..##.#.#....###.#.#...#...........#####..###..#.###..###.##...#.#.######.##...#....#..#....#.....##..#.#..###.##.##.##.####.....##.#.##########.##......#.####.#.###.#.#..#.#..##.##.#.###.###.#..#...#....#.#.####..#.#...#.#....##.####.#..###......#.##.#...##..####.######..#...#..#..#.#.#.##.#..#..##..##..#....#.##.....###.#.####..###.#..#.###.#.....##.#..#.#.#.#........#.#.###...#.####......#.....#####...#..##.##...########...###..#.#..##...########..#.######.##..#.#..####...##.###..######.###..#..#....#..#.#.##...##.#.#....#..#.#..######...#.#....#.#...##.##.#....##...###...#.###.####.#.##.#..##.#.###..#..##....#.#..#..##.....#...###.#...##..##.#.#..#.##..####.###.##.####.#.##..#...#..####.#..#.###.#...#.#####.##..###...####.#.##.###..##.#....#.....##.#.....#.#.#.........##..##.##..##.##.#..###.#..##.#####.####....##....##.#.#..##.#.#......#..####.###.#..#.#.....##.#..#.##...#.#.#...#####.##..#.....#.#.############.##..#.##..###.#.##...#.#...#..#..##..#.#.#...##...#.#####.##.#.#...#..#####.###..###.#.##.##.##.########.####.#..###..#.#...###.#..#..##.##.##...##...##..####......####...#.###...#######.##..##...####.#....##....#......#..##.##...#......##########.#.#####.#.#.######..####.....###.#.#.#.###..####.####.####.####.#.#...#####..#.#...#######.##.#.#####..####.......#..#..####...####.###..#..###.###...##..#...##.##.###.....##...##.#.###.#...##.###.#.#......#.#..##.#.##.#...#...####...#.##..#.###.#####.##.##.#.####..#.#.....####..##..#.####.#.#.##.....####.###....##.#.#..#.
.#....#####......###.#....#.#..#.#.#.###.###.#.###..##.#..##.#..#.###..##.###.####.#...#..###.#..##.##.#...###..#.#..####.###.#.##..#...##.###.#.#....##..#...#.##..#######...###.#.#.##.#...#.#.#.#...##...###.....#####.#.#..#.....####.#...#.#.#...#..#..###......#.##...####..#########..##.....#.#.##.....####.#..##.#...#.##.........#..####.#.##.###.#.#.#.#.###...#######..#.###.#.#...#..#..##..###.##..##....#...##.#..###.#..#..#......###.#.###.#.##..#.##..#......##.#....#..#..##.#..####..#...###....####....#####.####.###...#.#..#########..##.#.#.#.##.#....###.....##..#...#....##..####...###..#..###..##.....#.....#..####.###..###..##....#.....#..#########..##...##.##.##.#.###..##..##...##..#.#####..#..#..######...#.#..#######.#...###..###...#.#.##..##..######.#..#..##...##..####.##..#..#.##...#.##.###.#...##..#.##.##..#..######...#..###.#.#.#...##....###.#.##...####.###.##.##...###.#...#.##.####..####..#.#.##.######.#....##.#.#..#..###.#..##.#####.#..##.##.###.###.#.....###...##....##.#.###.#..##..##..##...#..#.###..#..##.#.#####.#.#..###.###.###....##..######.#...#.####.#..#....#.#.####....##.#....#....###...#..#..#.#.....######.##....#.#..#..#..#.##.#.##.##.#.###.##......#.#..####.#..#.#.#..#.#..#.##..#...#.###.#.#..#####...#.#..##..#..#...##.....#.####...######.##.###.#.#.##..##...#...####..##.#..#.##.###.##.#..##.##...###..###..#######.#####.#.#.#..#..##..####.#..##.####...#####......##.##.#.##.##.#.....##.#..####.###.#.#.##.#.#..##....#.##..##...........##..#.###...###.#..###..#..###.###.##....##..####..###.#.#.##.##.####.#....#....###.#.###.#.##.#####.##.##.###..#.##.#.#.#.########.....#.#....#.#.#.#.##.#.##.#.#####..##.#..#..##.#.####..####..#.#...####..########.#...#...#######.##..#.#...#.#..###.#......##.##.#.##.###.#.###..#####......###.##..#.#...#..##..#..#.##..#....#.....####.#.####.#.##.#..#######..####.#............#....#...#..##.....#.#..###.#.##..#......#.##.##....##...#...###................#....#.#.#..#.......###....##.##..####......##.###...#.#...#..##
.#...#.####.#.#.#.#.#...###.#.###...##.##..#.#...#####.#.#.#.#.....#.#.#.####......#..####...#..#.#.###...###.##...###..#..#..###.#.#####.#....#..#####.######..###.##...###.#.#.#...##.#..#.#...##...#.....##.#..#.####.#.#.##...#.#.###.#..##.#..##..###.#..##..#...#.###..####..#..##..#.##..#..#....###.####....#.##....#.#.#...###..#...#..########.#####.##..##.#..##...##..##...#.##.#.##....#...#######..##....####.###..###.##.#.#.##.#..#.###.#.#.....#.####.#.......#.###....###.####.##.####.#.####.#......##.##.##...#..#.#.#.######.##.......#..##.###.#.##..#....##.##.####...#...###.#.###...#..##..##..#####..##...###.#..#.##..#....##......#....###..#.######.#.####..#...##.#####.#..#.#..######..#..##..#.....##.####.###...#.....##.######.##...#........#####...###.###.....##.#.##.#..##.####.####.#..####.####....#.###..###.##..#..#..#..#.....#.....##......########.#.#.#.##.....##......#..########..##......#..###.#..####.###.#.##..#.#..###.#.##.#...####.###..##..#..#####.##.#.###.####.###....##..#.#...#..##.#...###.##..#.#..##.#.##.###.#..#.#.#.##..##.##.##.#.##.#.#.##..#..#...#.......#.#..##.#...##.##...#..#.#..#.##.######..#...####...#.#..#.#.###.#######.#..#.##.#.#.####.##########.####.#.....#......##.#.#.#.#..###...#.#...#.###.#....##.##....####..##.#.####.#.#....##..##.#....#####.####..##.###.##.##.####..###..##..####.###..#.###..#..###..##.#...##...#####..#.....#.......###.#.##..#..###.#.#.###.##.....#...###.###.#.##..##..#..###.#.#.#...##.##.##.#..##....#..###...#.#..#.##.#..########.#..#..#.#.#.#...#.#.###.#...###.#.#..##.#.##.###...####...#..##...##.####.##..###.#.#..##..#....#..######.#.#######..#..####.##...#..#.#...####.#.##....#..#.....##..#.#.#.###....##......######....#.#..####.#.#.####.#....##.......#..###.#....#..##.#.#...#...###..##.......####.#.#####.##..#..#.##....##.#.#......#..###..####.#.####...##..####....##...#......#......##.#......####...##..##.....#.##..####.#.###..#.#.##...##.#.#####.#..##.##..###...#...#.#..#.....#..###......#.###....#.#..##.##.###.#
#....#..#..#....#....##.##.##....###..#...##.#.####.###..#..####.###..#..####.######...#..###.#..##.##..##.#.#....###.#..#....##..######..#...###...#..#####..##......#..#..##..#....##..##.#...#..##.....####.####...#....#..##....##..#.###....###.#..#.#.##.###.#..###...#######..........#.#....##.#####.###....##.###.#.#..####.#.####.##.#..##.#..##..#.###.......##.###..#.......#...#.#.###.#.#..#.###...###.##.##....#..##.#.#.....#...#.#.###...###....##.#.#...#..#..#..##.#...##..#.##.#..#####.#####....###...##..####.####..#.#...###...##.##.##.#..###.#...#..#.#..########..##.##.##.######..##.#...#.#.#..####..####.##.#.....#.#.#..##.........#.#..####..###..##....###..######..###...#.#..###..#..#..#.#.#....##.#.##.###.#####..#.#.#..##.#...##.#.#.##.###..#..##.#.#.#..#..#.##..##.#....##...#.##.#.#...##.#..#....##...#...#.###.##....#..##..#.###.##........#.########......#######....#.##..#.####..#...#..#####.##..##.#.####.########..#######.###..##.##...#####.....###.#.##.#....###..#..#..#.######.###.##.##.#.##.###.#..##..#.##..#..#..#.##.###...###..####....#.#.#..##.#.##.##..#...#.##.#.#..###..##...##.###.#..##.##.##.##....##.##.#########.#..###..##..#..##..##.#...#.######..#.###.##....#..#...#.###.##..#.##..#.#####.#.#...#....#.######.###.#.#..##..#..###.##...#.#.#...#.#..##.#..##..#.###..#.###.#.###.##....##.#..#..#.##.#.##..#.#....##.#.##...####.##...##...#....##....#.#.#...#..###.#.###....##...#.#...##...##.###..##.#.#.##..##.#.###.#.#..#..#.#...#..##.##.#####.#.#####.#....#.#.#.#.#..##.....#..##........#.....###.#..#.....#.#.#....#.####.#.#.#####.#..#.#..##...#.....####.......#.####...##...##..##...#...#.#####..###.#.....#.#.##..#..#.##.##....#.........#...#.#.##..#.#.#.#.####..###..######..##..#####.#.####..#.##..###.#....######.#.#.####.....####..##.###.#.####..#####.##.#..##.......#.###..#..#...#..#......#....###.#..#....#.#...###.#.....##.#....##.####.###.....#.###.#.##.###.#####....##.#..##..#.##.#.#..##..#.###...#.#.###.##.#..###.#####.##..#.#.##.#.#.#.#...##...##...
...#..#####.....#....###.####.........#.#..###..#.###..#..#.#...##.#.###.#...#..#...#.#####..#.##.###....##..#.#####.#.#...##.####..#.#.#..#.###.##.#.##.####.#.#...##...#.#...###.....#...#..#.#..#.#####.#.#.#.......##..#...#..#.###.##.##.....#....##....###..#.##.#.##..#.#..#.####...#.###....#.#.#####..#..#.#.#.####.##########..#....##..#..#....####...###.#..##..##.###..##.##..#......#####....##.##.##...#####.###.......#...##.##.###....#........##.##.#.##..#####.#..#.##......##..##...##.###..#..#####.##...##.###.#####...#..##..##..##.#.###.##..#...####...###..#.#...###.#..##...#.....#.#.##........####...#..##...#..##......##.##.#.#..#..##..###...##.#.#...##.#...#...###...###.###.....##....#######.#.#.#.#.#.####...#.###.##..#...##...##..##.#.#.#...#.##.##...####.#..#.#.#.##...#..####.###.##.####.#..###....##.##...#..##....#.#####.#########.#.##..######.#..##...#.####..##....#..##.#...#####.##.####...#....##....####.....#.####..#...##.#..#.#.#..#...#..#......#.##...#....##...#.#####..#....##.......#....##...###.##.########..###..#.#.##.#.#.##...#.##.##.##########..#####...######..##.#.#.#...##.#.###.##.#..#.#.#......#..#####....##.#.#.#.#...#.###.#.#..#...###..##.......#...####.##.#..#.#..##.#.#....#..####..#..#.#...##..#.#..##..##...#.##..##.#...#.##..#.......##.....##...##.#...###..#....##.#...##.#.....##.##.#.#...########..####..#..##..#.##.##...#...#..#...#..##.##.##..######.#..#.###.#.##.#...###.#.#...##.#.##..##..#.#.#.#..#..###.#.##.#...#............#.........#.....#.#.####......###..####.####..#..##..###.##..#...#.###.#.#..##....#.###...###.##..##.####..##...#.###..##.....##...#.##.###...#.##...#.##.##.###...#...#...#####.##.##.#.#.####...#..##.#.#...#....##..##..###..#....#...#.....#........####....##..#....#.#..#.#...##....#######.###..#.##.###...##...#.#..##.#...#..#.#..#.#.###......##.##.##..#..#.....###.#.##.#...#.##.....#.#####....####.#....###.#.##.....###....#.#..######.####..##.##.....##.##..##....#....##..##...#....#.####.#.##..###.##########.##....#.
..#.##.##....##.#.#######..#.#.##...#.#..##..####.....#.##..#....#.#.#...#####....##....#......#.#.####..##.##.####.#.#.###..####...##..####.#######..#...#..######..##...##.#.###...#.#.....##..###.###.##.#.#..#.##.#.#.#.##...###...#..#..##.#.#.###.##.#.#.#..#....##..##....#...#.####.........#.##.##......#...##..#.##.#.#.#.....########.....#.#.##...#.......#.##.#...#####.##..#.###.#.#...##..#..##.####.#.##....###.####..#..#...##..##.##.#..#...##..#.###....#.#.....###..###.#.....#...#....##..##..#...#..##..#....##..###..#......#####..#....##..##.#..####.#.##..#.#.#.##.....###.#..#....##.#.#.#.......#.##..##..##....#....###.##.#...##.##..#..####..#..#.##.#.#.##.#..###.#.##.#.#...##.##..#.###.#.....#....##..###.....########.....##.#.####..###.#.#.#...#.####.##.#.#.#####...##...#..#..###.###.......#####..#.....#..##.##...#.###.##.####.###..#.##...#..#........##...###.###.#...####..#.#..##..#.##.###..####..#.....#..#.##.#..####..#####.##..#...#.###..####.....##..####....###..##.##.###.#.#####..#.#.####.####..####..###..#####...#..#..#.###...###..#......#..##.###...#..#...###.##.#.#.#...##...##.##..##.##########..##.#....##.#..###.#.###..##.#..#.........#.#.#..#....#.#########..#.##.##..#######..#####..##.#.#......####...........##.##....#.##.#.#.#....##.#..######.....##...####..###.#......##.#..###...##...##.....#..#....##.##.##.#.#..#.#.....##.....####.#####.###.##...#..#.##.#.......###########..##.##..#.#####...##...##....#####...###...####..#..#.#..##.....##..#.##...####.#.#.###...##....#.##.###..#.#.###..##.#.##.#.###...#..###..#######..####.####.#..###.#####...#.#.##.##.#.#.#...##....#.#########.#.#..##.#...####.##..##...#..#.###...#..#####.##....####..#....#.#..#.###.###..#.#...#...#..##.#.#.....#.#.##...#.#.#.#.#.####.##..##.##..######..###..##.###.##..#...#...###...####..######...#...#..#..##.##...##...#.....##..##.####.##...#..#######.....#.###..#.#...#.#......###.##...#.#....#..#.##.###..#....##....##...#..####.####.#.##.####.#..##.#..##.##.#######.##.####.#....
.##..#....#.####.##...#...###..##...###..#.#..#..#.#.###.#.#....#..#.#..###.#####...#...##...###.###..##.#####....#...#.##.#....#..##.......#.##...#...###.##.#..#.#.#.#####.#...###.#.............##.##..###.##.##......##.###.###.....##....##..###.##.#####..#.####.###.##..##.......###..#.##.....#..#.#.#..#....##########.######.####......#.####.##..#.#.#..##.#..#..####.#.###...#.#.##...##...#....#.##....#...#.#..#..#...#......###.#.#.####.####..###...##.##.##...##.##.####..#....#.####...#..##..##..........##...#.#.#..##.#.#.###...#.#...#..#....##..####.##.......#...###.##.#.#..........###.#..##..####.#..##.#..####..####..#...##.#..#.#.#..##......#..#.#..###....##..####.#.#.##..#.###....###...#...#...#..#..#..#...##...#...##..###..####..#..........##.#....#..##.....#.#....##.#.###..#.##....#....##.######..##.#..#..#.##..###..#.##..#..#.#.#####..#.#...#.#.#.##.##.#.#.#..#.##.########..#.#...#.#.#...#.#..##..###.##.####.#.#..##..#.#.######..##...#..##..#..#.#..#.#####.##.#######...#..#..#########.#.......#.##.#...#.##.#.#....#..#....#.##.#.##.##.#....######..#...##..#..##..#..#.#.#.#..###.....###..#....####...###.##..##.##.#..##..#####...#.....###.##.....#..####....####..##..##.##.##....#.##....#.###..#.##.#...###.#...####.....##.#..##.##...##..#...####....#.###.#.##...#......#..#...##.#.##.#####.##.#..#.####.###..#.#......#.##.##.###.###.#....##.....##.###.#..#.#.##.#.#...........#.#.....#.##..#..#..#..#..#.##.#...###...##..####..#...#.....#.#.###...######.##..#.......#..#.##.####.............#.#########.....####...##....##.###...#..#..#..##.#.#.#.#.####.####.#..###..##..##..#.###....#.....######..##..#.##...#...#...#.##...#######.#...##....####....#####..####.#.##..##.###.###..#######...##.........##.....##...#..#.#..##.##..#....#.#....####.###....##.##.####.##....#..###..........#####......#..#.#.#.#.##.###..#.##..#.###....#..##.#.#...##..#.#.#....#...##..##......#.....###.#...........#######...#####....##...#.#.##..#.###.##.#..##.#...#.##....#....#..#####......#......
####.##.##.###...#...##.....#.##.#..##...#....#..###.#..#.###..#..###.#..##.##.##....##.##.##.....###..##.##.....##.##...#..#..#..#..#.###.#.#..#..##..##...###.#..#.##..##...#.#.####.###.#.##.#..#.###..######..####.#######..#.#.###...##..#..........#.##.####.#.##.#...##...#.......#.##.#..#.#.#...#..####..#.#.##..#.........#.##.#####....##..#.#..#.##..##.##.#.#...##..#.#..#.#...#......##.#......##.#.#######.#.#.#.#.#.#.....#.#.#.#.#..####.#####.##...#..#####..#.#...##.#......##..#.#..##...##...#.#..##....#.###..###.##.####.#...###.###...###......#.#...#.####.##.#.#....#.##.#.#..#...#...####..#....#..#...#..#.##########..#.##.#.####..#..##..#..#..##..####.#.#####..######.#..##.####.#.##.#.#..#..#.####.#.###..#...###.#..###..###....##.#####..##..#.#######.#...#...##..###.#....##.#.##..#######.#.#####..#...##..##.###...##.....####..#.##.##..####.#.##..#.#.#..#..#...#.......#.##.....#.#......#..##..#.#.##.#...####...####.##.##..#..#....####.#..#.###.###....###..#.#...#.#.####.#.#########.###..##.#.#...#.##........#.###...#.##...#.##.#..#.######.##.#...#.##........###.##..#...##.###...#.##.....#....##..#.#...###.#.#.#..##.###.##.#.....#...##.#.#....#..#....##.####.####.#.......###....###.#.#..####.#.#.#.#.....##.#....#..#..##...####...##..#....#######.#.#..#...#.####...#######..#.###....##...#....#####.##.......#..###....####.....##......#.##...##.#.##.###.#....##.##.#...###.#####.####.#..####....#####...........#...#.####.###..#...###..##.###.#.#####...#..#####.#.#.#..##.##.####...#.......#.#####..###..#.#.#..##.##.#.####.#.#..##..#...#.#..#..##.#...#.#.#..#..##...#....#...###.###.#...#.###..####.###..##########.#..#.#..#.....#....#..#.##...###.##...###...##..#####....##..#.###..####.#..#.#.#.#.#..#.#.##..#..#.##.##.##..#....##.###.###.#.......#####..#.#..#.#.##.#.####.###.######.##..#.........##..#####.###...#.##..###.#...##.######..#..####..#..#..#....#........#####...##.######.#..#.#.#.#.#.#.#...#..####.##.##..####..##.#...###.#...##.########.##.#..##.##...#.#.#.#...#
#.#..####....##..#...##.....##....#..#..#..###.#..#..#..#....##.#.###....#..###.##..#..#.###..#.##.#...###.##.##.####.#.##.##..#.#.#....###....#....#.#.#.##....##.#.##.......#........##..#.##.##.#...##..#.##...#...########..#####....#...#.#.....#..##..#...#...####..#.###.###.#..#.#.##.#.#.#.#.##....#...#..##.#.....#.....####..###..####.##...#..##.##.#...##...##..#########...........#..#######..##......#.#..#.#..##.###.##.###.##.....#.#.##...####...#.....#.#.###..#.#..####.#.#.##.##.#.####...##..#.#..##.#..###.#.###..#.###....#####.#.#.#.#.#.##..#####..........##..###..#...##.#.###.######.######..##...##.#..##...###.##.#####..####.####.#..#..#.##..#.#######.#####.#.###.###.#...#.#.##..###..#......##.###.#.###..#..#........###....#..#.#...#...##.##.#.#####.....#.#.##..###.#.#..#.##.##.###...##.#.##.#.#.##.#......#.#....###..##....#..##.#..##.#.#.##...###...#...##..#.#.##..#######.#.....#.#.#.....##..##.#..##.#...###.###.#...##..###.###.##.#.#..##.#..#.#..###...##.##...##.#....##...##.#...#.#.#.###..###..#..##...#.....#.###.##..##....####..#.###...##...#..####...#######..#.#.##.....##...#.##..#..#.#.#...#..#.#..#.#..#.#...##.##..#.#.#.##.........##...#....#..#...#.####.#.##....##...#.#..##...#.####.###..##.##.#...#....#...####...#.##....##...#.#.#####.#..####....####....#.####.#..####....#..##.###.#####.###.###..##.#..##..#.#.##.##..##.#.#...#.###...###.##.###...##...#..####..#....#.##.#.#.#...#.#.#.#.#.##.###.##.##..###..##...#..###.#.#..##..####.#.#.###.####..##.#.##.#.#...##.#.#..###....###....##.##..#..#.#....##.....#####.....##.#.###...######...##.#....#.####...#.....#.#..#.#...#..###.###..#.###.##..#####..#..#.#..#.##.##.#..##..##..#.#.#.##.....#.#...####.....#......#...##..#.##..#.......##.##.##..##.#..#..#.###.#..#.##..#.###.#.....#...###.#..#.#.....#.#.#.#......##.#.##.#.######..###...##...#..#.###.#...##.###..##.....#.....#..#..#.#...##.##...###...#####.##...#.#..##.#..####...###....#.#..#......##.#..#####.#.#..#.###...#.###.###.........###.####.#####..###.#.
##....##..#.###.####...#.#.#....#..###.#..#...#..#..#####..###.#.##.#..####.#.#..##.#####...#..#.#...#####.##..#....##....##..##...##....#.#...#.##...###.....#..#....##.####...#.#.##.##..#..###..##.#......#....#.#.###.#.###.#.#######..###..###...#.##....#.##....####..###..........##..###.#.......###.##.####..#...#####.#.#.#.#..#.#.####.##.......#.#..#..#....#.##..#.##.##.#..##....#.##...##.#.#....####.#...#######..#..##..#.###.#.#####....###.#..##.##.....##....####.##...#..#...###..#.#...#.###.##.#.###..#####.#..##.##.###..##.##.#...#....##..#..##..##....##.#.....##.#....#..#.###.#.#..#.#.##..#..#..###...####..###.......#.###..#..#.###.##..#.##..##.#.##.##.#..##.##.####...#..#.######.......#.#...#.#.##.#...####..##..######.###.#...##.#.##...###..#.#..#.##..#.#.###..##...##.#.#...#..#.##.#..##..###..#.###.#..##..#.#.##...##.#.####...........##....#.##.#..##...#..####.###.#..##.#.####....#.##.###.#.#...###..#...#...#..#....###.###.#...####.##......##...##.#.##...#.####..##....###########...#...###..##.#.....#..#.#.##.##.##.##.##..#....###...##.#....#.##.###....###.###.###.#####...#...#..####..##..###...#.###..#...##..#...#.#...#.#..#.###.##...#####..#....#....###.#.##.##.#..#.....####...#.#.##.#...###...###..###.#.##...##........###.#..#.#.#.#.#.#.#..#.#..#.###...#.####.##...##.#.#######.##..#..........#.######.#....####....##.##.##.####.....#...#.###...#..###.#######..#..#...#.#....#....#.#.......#.##.###.##..#.#...##.###.#.....####.##.##.#.#...#######..##.##..#.###.##.##.#####..#.......##.####.##.##.##..######...#.##...#..#.#......#.#.#..##..#.#....#..###.#####.#.#####.#.#.###..##.#..#####...#....#.##.###....#.#.#.#.#..###.........###..#..##.##..#.#.###..#.##.####..#..#..#####...#.#..###.#.##.#...#..##.##.....#..##.##.#.#.#.#..#......######..##........#.###.#.#.####.##..#.#....#...#########...##..##.##.#...#.###.###...#.####.######.#...#..##.####.#...####..#....####.##.##...###.###...#..###..#.#.#..##...###..#.####.....##.####...##.#.########.####.#...#..##...#.###.
..##....#..#...#.##.#.#.##.###.#.####..####...#.#...##......#.....#####.###.#..#..##..#.##..#.....##.#..###.####.##.#.##.###.######..#...#..####..##.###.##......#..#...#..###.####.######.#######.#...#.##.####.#.##.####.##...#.##.#....#..####.##...#####.#..##...#......###.###...#....#.#.##.#.......#.#.###...##.##...####.###.#....##.####.##.#.#..#.......##.###......#....##.#..##...###.###.#...##########..#...#..#.##.##.####.....#..#.#.#....#.##.#..###.##....#....#...#.##..####.....#.#..##...#...#.#....###...#.....###...#..#..#....#...###.##..#.#.#..######.#..#.######...###.###.##.#.#....####....#.###..###.###..#.##.##.#..##.#######....#.##.##...##..#..###.####..####..###..##.#..#.....##.##..#...#.##.#....#.##..#######.####.##.#.#######..#..#####.#..##.#...#.##...#####.#..#....#..##.#..##...#..######..###..###.###.#........###..#....##.#..##.#.####..#......##.#####..#.###.#.##.#.#.#.#.#....#.#.##....##.##.#..#...#.#..####.####...#..###.....###....##.#..#...#.#....#.###.#.##....#.#..#.######...#.####.#.#..###...#####....###.#.#....##.#####.##.......##.#...#...#.####..##.#..#..###.###.##...###.......#...##..##.#..##..####.#.#######.#...#####.#.####..####....##..##.######.#.#...##......#.###.###..####..#.##.#..##.##...#..#..###......##.##..#...#.#..##.#.#####....##..#.######...#.#.#######..##.###..###.#.#.###.##..####.#...#.######...##..####.....#...#..#...##.##.#####.##.###..##...#..##.#.#..#.########.#.##...##.##..##.#.##.#.#..##...#..##.#....#..##...###.#.#..##..####.###...#.#...##....######.....#.#.###.#...###.#######.##.#.....#.#..#.###.#.#.#..##.###...####.##.##...#.##..#.#.###########........#.##..#.....#.#.##..#...#...#..##.....#.#.###....#...#.##.#.#.####.#...#..#...#.#.#.....#...##.###.#.#.....#....#.#...#.#.#..##.##.###...###...#..##...####....###.##..#.#..#.....##.#..###.#.##..######.#..##..##.#.....#.##.#.....#..####..#...#.#..#.##.#.##...##.#...#####.#..##..#...####..##.##..#..###.#.#...#..#..###.#..#.##.###.#..#.#...#.....##..#..########.....##...##..######
.......#...##.###.#.##....#....##.#.#...##..#...###...#..#.##.##..#.#...####..#.#...##...##.###.....#.....####.#####.#.##...####.#####.########.#......##.#####.#.###..#####.##..#..#..#..#....#.####..#####..#.#...#...##.#..#.#.#....##.##.####.#.#.###...#.#.##..####....##.#....##..##.#.#.#....##..#...#.#..#..##..#.####..#.###.####.#...#.##.......#.##..#.....#.#.#...#..#..###.########.#.#.######....#.#.....#...#....#####....#####..###..#.##..##...###.##..####.##.####.........##..#..#..##.#......#.#.##.#...##.#.###..###....###.##..##...#.....#....#########.###......#....####.#.#.##.#....#.##......#....##.....####.#.#.....#...##..###..##...#.##.#.#...#####.#..#.####.#..#.######.#.##.#..#.#....#.#..#...##..#.###.##....#..#.##.#....#....####..#.#.##..#..#...#####.##...####..##.#####....#..#..#..##.####.#....###.#..#..#.####.##.#.####..#.#..#...###.###...##..##...#...#..#####..##.#.##.#####.#.#...####.##...#..##.#..#.##.#.##.#...#.#...#..#.####.#.#.#####....###..##..##..##...#.#.#.##.#.#..####..#..#.#.....##.#...##.....###.#.#.##..#######.....###.##.########...###.#.###.#.#..###.#....#..######.#.####..#...#.#.##..#...###..#.#.#.##...#####..#....##.###.#.#..######....#.......###...###...##.#.####...##..##.....#....#.#.##....##.##......###...#...#..#.#.#####....#..##......#.##.#..##...#.##.##...#.###....##..##..##..#..##.#.##..##..###...#.#...###....#.#.##.##.#...###...##..#.#...######.#.#.##.#....##....#.#.##.####.....###.###.#...####....######.#..#.#....#..#.#.##.##.###.###..#..##...##.##.###...###.##.#...###.##.#.#..##.########..##.#....#.##.##.#.#.##..#.##....#....#....#....##.#.###.#.##.....#..#..#....###...#.#..###.#...##.#.#.####.####..#.#.#..##..#.#...####..##.##..#####..#..#.##.#.....##..#.#.##..#..###.#...#.##.....#...##....#...#.#..####.##..##.#..#.#####.....###.#...#####.##.....#.##....##..#..##...###.....#...##..#.#######...#.##..###...##.##..#..##.#..#....###.....###.#..##.##..#..##.#....##.##.##.#.....##.#..###...#.#.#.#######..#...##.####..##.##.###..###.#.#..
#.#######.#..##.###.#....#....##.##...#.##..#.#..#....##....#..##...###.######..##..##.#..###.###.#..##.#..###...##.......#...##.##.###.#.###..####.#.#.#.#..##.##...##.#..####..##....###..##..#.#.#..##.#..#.#.#.#..#...##..#..#...#..#..#..#.##...#.#.#.##.##.....###.##.###.#......####...#....#..#.##.#..###...#..#.###...######...#.##...#.##...##.####...###.##.#.####...#.##.#.#.###.#..##..#.###..#..###...###..###..#####...#.#...#...##....#.#.##.#.##...##.#.##......###...#..###....#...#..#..####.#.#.#..#..#.#.###..###..#.###.####..##..###.#.#.#..#.##..##..#.##.#.#..#....#......###.########...##.#.###.###.#.#.#..#..#.#.####......########..###..#.##.#....#.##.#.#...#..##.##...###..####..###.##.##.#....###.##.#....#..##..####...#....##.#...#..#.#.###...#....#.##.###.###..#######.#.####..###....#...#......#.######.##..##....###..#.#.###.#...#########....#.######..###..#..#.####.#.##.....##..#.#.#.###...#..####....#..###...##..######.##.##..#.###.####..##..#.#..#.##.###..#....#.#..####.###.########.##.#....#.....#.....#..#.#...#..#.#.#..#.##.#.#..#..##.####.#.#..##.#..#.######.#...#.#...#.#.#...###...#.######.###....##.#.######...#..#.###..##.#..#..##.##.#..##.##.##..#.....#.##...####.####..#...#..#####.##.####....#....#.#.###.#......#..##..#..#.#.######..#.#..#.#.#..##..#...#.....#.###.##..#..##...#.#...#.#.###....####.###...##..#.#...#######..#######..##.####.#....#.#........#.#.##.##......#...#.#.###.#..#..###.#.###.#.#....##....###.#.#...##..##.##..####.####..#..#.###....###..#....#####.##....###.###....#....##...#.#.####..#...##.#..#.####.##.###.#.#.##.#.#.##.####.#####..##.##......#..#.##..##..####...#..##.#.####...........######...#........####.#.##.#.##..#...#..#..#.#.#.#####.####.#..#....#.#.#.####..####..####.####..##.##...####.#..#..###.#..##...##..#............###..##..#..#...###...#.#####.#....#......##....######.#....#.#.##.#..#....#####..#.##..###.#.##....##..#######....##.####.#.....#####..#.###...####.#.####.####.####.##.#..##.#.##.#....##...##...##.###.#....
..#.###.#.#.#.#..#.###..#.#..#.##.###.#..#....##......#..#...##.#..###.##.##..........##...#..#..###.##.#.#####.##.#.#...###.#..#.....##.#...##..##.#.#.##.#.##.##....###..#####.#.##.....##.....#.....##.#.##.#...###....#.#.##.#....#.##.#..#.#.....#.##..###.#......###.##.#..#.##..#....##..#.###.#.#.##.##.##.##....####....#..####.###.###.#..#.#..#.#...#.#.##..#.###...#.##.........######..#...#....##.#.#.#.##..#.#..#.#..#.#..##..##...#.#.####..##.#.....#####.#.#...#...##.##.#.#.###..##...##.##.#...##..###.........##.##.##..#..###.#####.###..#.###....###...##.##.##.#.###.#..#####....###...#..#.#.#......##.#..#.###.#...##...#.###........#.###...##.#.......##.##.#..##...##....#.#...#####..##...###....##.#..##.##....#.#..#.##...###....#..#.##.##.#.#.###.#####.#..#####.##......#....##......#.#.##....##.#.#...##.##.##.#....##.#####.#...#.###.###.#..#..#..##..#...##.#.####.#...###.#.#....#.####...###.#.....#......#.###...#..#.#.#..##..##.#...#....#......#....#.##.#####...####...#.....#.##.....#.#.###.##.###.###...###.#..######..#.###...#...#......#...##..#####.#...##..###..#.#.#...#..#.#.##.##.###.##.#########..###..###..#.....#.######..#.##...#.######......##....#.###..##..#.####.#..##..#.###........#..#.###...#.....##.##.##..###..##.#.#.###.##.#...#..##.#.#..##..#.##...#.#.###.#.#..###..##.#####.#.##.#.#..#..###..#.####.#.#.#..#..##...###..#.####...###....#..#...#......##..#.#.#..#.##.......#..#...######..#...##.###...#.###.###..#..##...##.#..##..##...##.#...##.#.#...#.#.#..###.##...#..#.#.###..#..###..#..#..##.#..#.#.##..##......#..#.#.#.#####..###.#..#......##.##.##.####.#..###...##.#.#....##...###.###...##.##...##...#..##.##.#.#..#.####..#.#....#.##..#....#..#.....##.####............#.#....##.#.#.##...#..#####.#..##.#..#.....#..##.##...####.##....#.#..###.###.#.#...##..#..#..######.#.....#.##..#.##...#.#......###.#########...#..##..##..#.#..###..#....#.#.##.##..####....#..#...#..#..##..#..##...##.#.#.####.#.##.#...####.##..#...##..#.#.....#.##.......##.......###...#.##.##
..#.#..#..##..#..##.##.....#######....###.###...###..########.........#.####..##...######....#...#.####.##.##..######...#...####.#.#..................##..####.####..........#..##.#....##.##.#....#.##.#.###..##....##..##..#.##..###.##.##.###...##.#..####.#..###.#.#..##..#.#.##.###..###.#.##...#.###.###.##........##.#.#.######.###.#.##..###..###....#..#.##...#.####.###...###.#.#.#.#..#....#.#.##...###....#.##.#.#.#.###.#.#####..###.###..######.##.#..#.####..#..#..#..##.##.#.#..###.....#..#.#..#.#..#..####...#.#.###.#..##.#.##.#..###......###..#.##..#######.#####.#.#.##..#..#.####...#.#.##....##...##....##.#.####.##.###..#.##.#.#..#..#.##.#######.##..###.....####.##.####..#...#.......#...#...##.#.########.#.##..##.....#..#.#.###.....#####..####.#...##...###.##...##.####.#..#.#..#...###.#..##.####..#...##..#...##.##..###.#..#.######.##.#.###.#....#....#...#......#....##..##.#..####..####..#.####.###.#.#.#.#...##.#.##....#.######.#..#.#####....#...#.#.#.#..#..#..#.....#.##..#.##...#.#####..#.##..########.....#.##..##.###.#.#.##.......##..##.####...##..#...#####.#.##..######.##.#..####..##......#.##.###..####.#.########.####..###....####..##........###.....#.##.#..#.##...#.#.##..##.#.#.##..##...#...#..####.#.####.##.#.####..###.#.#..###......#..##..##..#....#.#.#..#.##.#.#.###.##.##.###.#......#...#.#.##..##.#...##...#...#.#..#..##.##...#.#...##.#..#...#...#...###..#..#.##...#.#.#.#####.###..##.###.#####...#...##.##...##...##...#.#...#.#.#..#.###....#......#####...##.###.##.####.##....#.......##.#....###.###.#.#..###....#..#....#..#..#..#.#....#..#..#######.##.#.###...####.........#...##.#.##....##.###..#..##.###..#.########..##..#######.#.#.#...#...#.#####.#.#.####.##.####.#####...##.##.##..#.##..####..#..##..##.#####...#...#..######..##...#.##....#.#......#.#.##.####.#.###.#..###.###.#####.##.#.##.###..######.#..###..#....##.####...##..##.####.#.####.#..####...#.###..##..#.###..##..#####.#.##..#...#.....#..#.#..#.###....###...#.###..#.##.......#.##.##...##..##.####...##
.######.......####.##.#.##..#.#..#...####.#####.#..####..##...##.#........#.#.#.#....###.#.#.##..##.......#.....##.###.#..##....#..###......##.#.....#...#...#..#..##.##.#....#...#....#######.#......##.#..#.#.#.#.##.##..##.#....#.#.#...####.##.####.#.#.#####.##..#..##....#...###...##..#.#..####.######...###.#.#.#.....#...#.#.#####.#..#.######.#..###.#.#.####.##..##.##......######...#.#.###.#...##....#.####.##..####.#.....#.#######...##....#.#.###...##...##..#######.#...###..#.##.#..###.#....##.##...#.#.#..####...##..#.####..######..#...#...##.#..#..##....##.#.########.#######..###.##.#...#.####.#.#.#..##.#..#...#....#....#####....##.#.####..#...##.#####....#.#.......##.###..#.##.....#.......#.#....#...#...####.##.##....#...####..##......##......#.....#.......####.#..#..#.#...#..###.#....#..#.##...#.##.#.##.####.###...#.###.#####.##.#####...#.#..#..#..###.#..###..#######....#..#..#####...#####.........##..####...###...#..#.#....#.#..##...#...#####.#.#.#..#..#.#...##.#..####.#...####...###.#.#....#.##..##...#######.##..#.#..#...######.###...##.##.####..#.#.....#....##...####..#.#.##....#.##..##.#...########..####.##..#.#######.#.###.##.#.#.####.###.#..#.#....#.###.#..#...###.##.#.#.###..##.##.##.#.##....#......#.#.#######...#.#.###.#....#.#.######.#.###.#..#..###.#.....##.#....##.....#..#.##...###..#...#.#.###.......#.###..##.##.##.#.#.#...####.##.###.#..##.#....#.#.####..###..###...##..###.....##.#.######.###.###..####.#.##.###.#..####.##..#######.###...##..###.##.#.....#.#########.##...#..#.......#.###...#..#...####.#....##.#.#.#...#.##...##..#....#.##..###.####.#..##.#....###..#....##.###..##.#..#.#...#.#..#..###.#...#...#...###..######..#######..#.#..#####.##..#.#...#..#.##.##..#########........###...##.##..##....#...#.#.###..##.#.#.....#..##.##....##.####.#.#.#..######....#.#.##.###.#..#####..#.#..#.###...#.##.##..####....###..#.....#..#...#..#...####...#..##.###..####.#..#####.###.###.#...#.##.####..#..#.#.#####.##...#...###...##....####.#..#.##.....##....##...#.
#.##..#.##..###.##..##...##.####...###.#.#..##...##....#.#...##..#####.#.#.#...#.###....#...#.#####....#.#.##..###.#.#...##.##.####.###........##.####.#..#..#.##.####.###...#.###.....#...#.#.##...#..####..#...#.##.#.#...#####.##.....#....##....#..#..#..##....#############.#..###.##.###..#.##.#.#..##..###....#.#.###..#...###.##.#.......##...#####.###...#.#.#.###.###.##..#.#..#......#.####.#..#..##.##.###....##.#.#..###.#...#..#...####.###..#.......###.#.##.###.....#.##.#.#..##..#..#.##.##.#.#.##.###..##..#.#...#.#....####.#.##.#..##..#.#..########.#.#######.#.##.#...###.#.#.#.###.####..#.#..#.#......#.....####.....#..###..#..#.##...#.#.###.###.##..#....##..###.###.##..##.#.#.####.##...#....#########..#.#..#..#......#...##.#..##.#..#.#.#.######.#....###...#.##.#.###.###....##.##.#..###.##..###..#..........####..###...#....######.#..###..##...#.#.######....#.####.......#....#..#.##.##.#.......##.##..##..#.....##.##...#......#.##.###.###...#####.#..##....##...###..##...###..#..#..#..#..#.#.#####.....##....##..##....#...##.....##..##.##.##.###..#.####.###.###..##.##.##...####.#.##.###.#.#..#.....###.#.#.#..#....###.#..#..##..###.########......##.#.#.##...#.#.####.#.##.##....###.######.#..#....#.#.#..##.#..#..###...#...#..#.##..#..#...#....#.#.##.#...#...#.#.#.###.#..#####.#.#####.##...#.##.#.##...#######.#####.#.......#....##..###.#...#..#.#####...##.###...#.##.#######.###.##..####.#.####.#####.#..##..#..#..###..###.#.####....#..#.#..#.#...#.#####..#.#...###.#.##.#..#.##.#####.###.#...##.######..#......#.##.#.#.#..##..###.......#...#####.......#....#...#.####.#...#..#..###.##.#....##.##..##..#.....#..###.####..#.#.....#.....#####..#.##.##.#..#.##...#.#..###.#.##.#.###.....###....#####.###..####....#.#..#.#....##..#...#.....#####...##.##.......####.#.#.#.#..#.#.#.####.#..##..#########....#.###.#.####......######.#..##.#...#...#.#....####.....##.#.#.##..#.##..##.#.####...###..####.#.###...###.##.#.##.##.#.####.#.#.#.##..###.#..#.#.##.#.##....#.#....#######..#..##..##.##.##
#.##.#..#..#..##..##.#.###.##...#..###...###.#..###.#..##..##.##..####.#...###....##..#..#.####.#....##...#####.##..#..###...##.##...#..#...#...#.....##.#...#.##.##.#.#.....#...######....##.#.#.#####.##.##...###.###.....#...#.##.########.###.###.#.#.##..#....###..#.###......###..##.###.##...###....##...##...###.#.##.#####.#.##...###.#.....###.#...#.#..###..##.#..##.#.....##.#.#.#..######..#....########..#...###.#....#.....##..##.##..#..#...#..##....#..#..####.##.#..#...#..#.#...#..#.##.....#.##.###..######..##..#.#..#..#.#...#..##...##...#...###.###....#.#.####.##.##.#.#.###.####.##.####...#.....#..####.##...#.##.##..#.#.....#.#.##...#...#..#######.#.####..##..##.##..#.###.###..#.##...##.##...#.#.#.#..##########.##...#.#..#.##########......###.####.#....#..#..#.#...#.......#####..##.###.##.#....#.##..#.#.###.#..#....#.....#.###..###.###.######..##..#...##...#.##.#.###..#.#..##.....#.#.....#.##.####...#.##.##.....##.....##.##...####...####.#.#.####..##.#...#.###.##.##.#.##....#.##..#...#.###....##.###..##.#..##..#..##....#..#.#..##########..#.##...####......#..##.......#.#.####..#.......#...##.#.##.....#####.##.##......#.#......##...#.##.#..#.##.###.##.#..#.##..####.#....#...#.#....###....#..#.###.#.....###.##..####...#...#..#..#.##..##..#.#.####.###.#....#.#.....###.##.#.......##.#####.##.####..#..###...###.......#.##.#...##..#.#.##....##.#.#.###.###.###.#..##...#...##..###.#.###.#........#.#..##..#...###.#...#####.##..###.#######.##.......##.##.....##...#..####.##..##...##.###.####..#.#.#...#....##.#..##.###..#.##.#.#.#..#...#.#.##.###..##.........#.#.###.##.#.#######..##.###..#.###..#..#.....###.##.#..#.###..#...#.#..##....#..##.####.#..##.#.#####.#..#..#######..###.#..#...##...###.#.#.##..#.#######...#..###....##.#..###.##.#.#..###.#...#.###..##.##.#...#..##....#.#.#####.#.#####.#.#..#..##.#.##....#......#.#.###.....#..###.#....####..###....#.#.#...##...#.#..####.......#..###.##.#...#.####...##.#...####.#..#..##.#...#.#.#.##..##....####.##.....#.###.###.#.###....
#..#....#..#.##......#.####.#..#....#.###.....#.##...#.###...###.#..#####..#..######.##......###.##.##...##.#..####...#..##.#......####..##.##.##.#..#..#...##.#.###...###.#..##.##.##..##..#.##.#...##..###.##.##..#..#.#.##.....#####.......#.#..###..###.###...#.###.##..###.#######..####..##...#.#..#..#.#.##.....####.####..#.#.##....#......#..##.#.###.#.##.....###....####..#..#.#....#.#.###.#####.##.#.##..#.#.#.#...##...####.##....#..#........##.....####..#.#.##....####.##..#.#.#..#.##..##....###..#..##.##.###....#........##..#....###.#..##.#.###..#.........##..#.####.....#.###....########.#......########...#.#..####.##.#.....###.#...#..#..##..#.#..####..####.#..#.....####....#.#....#..##.##.#..#####.##.###.#.#.########.....##.######.##..#.#..#...#####..#.####..#.#...#..#.#.#.......######.#.#.###...#..#.......######..#.##....#.#..#.##.#.#.#....#.......#########.##.#####..###.##.###..##..##....#.##.####..#.#...######.###.#..###.#..##....##..##...#...##.#.#..#...#.#.#...##..#.###.##...######.##..#.##.##..#####..#.......###.##.#.#.##.......#.##.#...####....##......#..####..#.#..##....##..#.####.#.....#..#..#....####.#..###........###..####.....######.#.####..#.#...#...#...##.###..#..###...###.####.##.....#.###.#....#####.#..#..##....#.##.#..#.##.#.####...##.##..#.#...##.#.#....#.#.####.##.#.#..#.#.###..##....#.#.#.###...#.###....#.#.#......#.#.#.##.#.#..###...##.#...##.#.#####.#..#..####.#.##.#.##....#.####.##...#..####...###...#.#....#.....##...#.##.##..#.#.#.#..#.....##.#...######.##.#.###..#..#.#...####.##.....#..#...###..##...####...####..#....#...##.#.####......#..#.#..##.#.###.#...##.....###..#.#..#....##...#.#..#.#.#..#.#.##.#........###.#..##..####.######.#....#....#......#####.###..#.####.#..#....#..####..##.###.###.###.##.#..###.#.#...##.######.##..###########...####..#.#.###.#.##..##.##.#......##..#.....##.###.##.##..#...##..#..###.#..####.#.#.###..#..###..#.##......#.##..#..#......##...#######.##.#.##.##..#..##........#.##.###.#.#.##....##..#..#...##.####....#
.##.....###.#..#...##..##..#.#..#.......#.###..#.#....##.#.#..##..#.##....#####....###.......##.###.#.####...##.#.#..#####.##.###...###.#.#.#.##.#..#...#.#..###..###.#.##.#...##..#####...######.#..#.#####..###..#.##........#...##..##.##...##..#....#....###.#.###..##.###....#.#....#..#.##.#.#..###.#.#..###.##.#......#.###.###..##.#.##.#.#...#.#..#..#....#...#.#.####..###........#.....#..###.#..#.###.......#...#...##..####..###....######...###.######.#....##.#.#.##...##.#...#.#.#.##.##.###.##.###.##.##..#....##....#.#...##.###.##.....####..##.#.#...##....#.....#.#.##..#####..##.#..#..###...########.#..#..###..######.....###..##..#.#....#.##..##..#...#..###......##..#..#...#.#......##.#...##...###.##..##.#####..#.....##.##.#..#.#.#######....#...#.#..#..#######..#####....##..#........#..###..##.#.#.####.##.##..#..#...###..###.#..#.#...##..####.##...#.#......###..##.##..##########.#.#..###.##....#...#....###.#..#...##.###...#.##...#.###.#.#..##.##...##..###..##.#....###.#.##..##.##..###.#.#..#.#.####...#...#...###..#.##..#.####..#.##.##.###..####.#....##..####.#...#.###....##.#...###.#...######..#.#.####....#..#.....#####.#..###......####...#.#.#...#..###.###...#####..#..##....#.##...#.#.#.##.#..#.####...#...#....#.#......#...###..#.#.....#..#......#..####.##..###.#....##.#.####...##...###..#.####...#..#.....#..###.#.###..#.##....######.....##..#.##.#.##.#.....#.....####.#.#...##.#.#...##..#......##..#####.###.##.#.#.#.#.#..#...#..#..###........###.#.#.#..##...##.#.#.#.#.........#.####....#.#########..#..###..##..#....###.##..####.#.#.#...##.###.#....#.########.#..###.##...#..#..###.##..##..##.#...######.#.#.#.#.#.##....#.##.#...#####..####..##.#.###...###...#.##.##..#.....#.####.....##.#.....#........#..####.#.....#...#..#.###.......#.#.##...#....#.##.##.#.#####.#.#.#.#...##.#.##....#####.##.#....#..#.####..#...#.#..##.##.#..#.#..##.#.#..###.#####.#.####..#....##.###..#...###.#....#..##..#..#..#..#.##..####.##.#.#....#.#.#.##..#.###.##.#.#...##...#..###.#....#####...#..
##.#.#..#....##.#####....##.......#.####.##.#####.###.#.##.#.#...#..#....####.#.###...##.#.#..#..#...#......#.#..####.#.###..####.#......#.#.#.######..#...#...##.#####.#.#.#.##...#..#.##.####.....##..##.....#.#.#.#.######....#...###.#......#######.#######.#.###.#.#.#.#.#...####..######.###.#.####.#.###.......##...#.##.#..##..#..#.###.#..##......####.#..#.###.#..#..##..#..#...#.....#...#...#.##.###..##.##.##....#.##..###..#.#########...####..####.###..#####....#.##.#..#..###..#...##########.....####.##..##..#....#####..###.#....#.##.#....######....#...#......#...##..#....#..#.##.#..#.#....#..#####.##.##.#..#.##.#.#..##.#...##..#...#...###.###....###...###..##....###..#.##.#..###.#..###...#...#...#.#..#..###.#.#.#..#.#.#.#..######.#.######..#.##...#..###.....###......######.#.##.#.#...####..#...##.##..##.#.#.#....#..###.###.#.##.##...#..#.###.....#..#......###..##.##.#.#..###.#...#..##.##.#..##.####...##.#.###..#.#.....###......##......####...##..##..###...#..#.#.....##.###..##.#.##.##..#..#.####..#..##..#####.#.##.###...#..#.######.##..###.#...#..####...##..##....##.#.#...#.#...#.#..##.#..#..#..#..##.#..#..#..#.#.####...##....##.#.#.####..#.#..#...#.####..#.##.##.##.#.###.....#######..#.#..#..#...#.#####..#.#.#.#..#####..#...####.#...####.#####.#.#..###.###......###..###.#.#.##.##..###....#.##.##.###.##..##...##.#.#####..##....##....####.#.#..##....###.#.##.....#.#..##.#.#...####..###...#....#.#.####.##..#.....#####.###.#.##.###.###.#.#....#.##...##.##....##.....###....##.##.....#.#..#..###.#...##.#.#.#.....##.#...#....##.#.#..#.####..####...###..###..##.#.#.##.#...#....###....#.#...##..##..#.##.##.#..##..##...#.#.......###......#.###...##..#.#.##.#.###...##.#.###.#....#..#...##.##..#.####.###.#.#....#.#...##.#..##.##.##....#...#.#.#.#..#######.##..##.#..##..##...##...........#.###.#######....##.###.#####...#.#.#..#..#.##..####...####...###...#..##.#....##.#.#.##.####.#...........#..##...#####.#..#..##.#.#.....##.##..###....#..#..#.#....#....#.##.##.#.#..#.###..###.#
###.#.##...##..#.###...#.#.#.#..##.##.#...#..#......##.##.....###.####.#.#.#...####....#.##.#.#.#.#....#...######....##..#..##..#..##.###.####.#.....###..#...#..###..##...#..####.#..##...#..####.#...#.####.#.#######..##..#.#........###...###.....####.##...##.#.##..##.#.##.....#...#...#.#.###.###...###.#..#.##.#.####.###..##...##.#.#...##...####..######.#....###..##...##.......####.##.###.##.#.###.#.#.##.####.##.####.#.#...#..####.#.#.#.....#.#.#.#.#...#.#...##.##.#######..#......##.#####.#...##.....#.##....######..#.####..##.###..#####.#..#.##.###...###.##.......#...##.####.##...#.#.###.##..#.##.###.####.#.####..#.##..#.###.##....###...#.#..#.#...#.#.#.##.#..####..##.#####.#####..#.####...#..#.#..####.#..#..##..#.##...###..#..#..#.###.#...##.#.###..#...######........##..#..##..#.##.#...####..#.#.#....##.###..###.##..#..#.#.#.#.#..####....#..##..#.........#...######..##.####.##...#.....#####.###.....####......#..#..##.##..##.#.#####.#.##.###..##..##....####.##..#..#..####.#......#.#.#.#.####.#.#...#..##...##..##.#...##.#...#.##..###...#....####...##.#.##.####.#...#......###..##.#..###.....#..#.####.#.##...#.#.#.#..#.###.#.######.....#...#.####.#.###.####.####.###...##......##.##.#...#.#.#####..##.##.#########.#.#..#.####..######...#......#..#####.#.#.#.####.####..#####.....#####..##.##.##..#.#.##....#..####.##.##.####..#.#..###....##...#.##..#.#...###..####..#.....#..#..###.#.#.##.###.###.#..#..#..#....##...##.##...#...###.####..#.###.#.#.##.#.##....##.####.#.#..##.#...##...#.##.####.#.###...###.#..#.#..##.#.###..##.#..###.##..##......#.##.###..###.#.###.##.#.#####..##.......#......#..........#.##..#.##......###..#.#.#....#....#.####.###..#...#.##...#######..##.#..#...#.##..##..#.#.#.#.#.#....#.#......##..#.###.##.##...#....#....#....#.......#..#.#..#.###..####.##.###..#..#..##.#.###.#.###.#..###..#....#..#..##..##.#.#.##..##.#..#.#.####.#.#####..##..#....###.##.......##.#..##.#.#..#..#####.#.#.#####.###.####.#.....#.###.####..#..###.##.#.#..#...#.###.#.#######.##.##
#.###....##..#.###.#...#.###.#...#.#..###.#.#..##.#..##.#.#..#.#.#.#.#.#...#.....#...####.#.######.###.###.#.##.....#.#####.######.##########.##..#.#.##.###.##.##.####.####..#..#.##...##....##.##.#.#..##.#.##.#########.......##..#.####....#..###....###....##..#.##..###.#.####.....#.#....######...##..##...#.##...###.#.....##..#.##.#######....#.....###..#...##..####.........#.###...#.#.........#..###....####.....#.###.#.#...#.....#####.#.###.###.###..######.##..#.#####.#.#....#..###.....#..#..#.#.#.##.#..#........###..###........#.##.##.##.########.####.#..##....##.#....#.#.####..#.##.##.##.#..##.##.#..#...####.#.##.#.####.#..##....#..#....#.##..###.#..##....#.#.##.#..##...#..##.#.##.#.##.###..#.#.#.#.#.####.###.##.####.#.#..##..##....####...#.#.##...######.#.##..#..###.#.##...##.#.#####....#.#.##....##.###...###.....##...####..####....##.#.....#.###...#..###.##.#.####...#.#.#####...##.##...###.###..#..#.###...##.#.######..##...##...##...#.##..###.##.....#..#..#.#.#####..#####...#.#.##.#..##.....#.#....##.#....#..#.##...#..#...#..###.###...#....##.#########.#...###.....##..###.#.#...#..######.##.###.#.#####.##..###.#.##.##........###.#####.##########.##..#.###....#..###.#.#..####....#..#....##.##...#...###..##..####.####.###.##...######.#.#..###..#.##..###....##.#..####..#.#.#.#.#..#..#..........#.#..###...###..#.#.#.#.##.###.#####.##.#....##...#...#..##..##.#.##.##.#.#...##.##.#.#.#.......#...####.##.#....###.#.#..##..#....#..##.##.##.####.##.#.#..##.##.#...##.####.#...###.###..###.##..#.##.#.##.#.#.###.........####.#.###.#..###..##......#..##.#.#.#.##..##.##.####.###.##..###..##....#...#...#.###.#..#..#.#...###..##.###..###..#.##..#..#.###.###...#..##.....###...##.#..#######.######..#..#...###.#.#.#...##....##...#.#..###.#..#.#...##.#.#####.#.#...#..##.#.###....#..##...#.###.#.#...##..#.#####.#....#.###..#.###.####.###..#####.##.#........#.....#.##.#.##..##..##.#.###...#.#####.#..####..#..###.#..#.###.####.......#...#...#..#......###..###.....##.#.##..###.#..#..##..
###.####.###.#.#..##....#.#.##.#####.##...#..#.##...########.##..##..#.#..##.#.#.#.#..##.#.#.#..##.....##....####.#..#####.#.###.####..###....##.#..##.##...##.####..##.#.##.####..#####.#.##...#.#..##....#.#....#.##.#...#.#..##.....##.#....#.#.##.#.#.#.##.####.###.#####....#.#.#.##.##....#...#######.###........##..#..###..##.##..##.###..#.#.#..#####..##.##....#.#.#.#.##...##..##.#.##..##......#....#.....###.##..##...#.##..##..###.##..###..##.##..#.##..####.#.##.....###.....####.#.#..#.####.##......#.#...###.#..#..####..####.#.##...#..#.#...#####.#...#.#..#...##.####.....##.#....#..##.#.#...#..#..##..#.###......#.#.###.#.#...###.###.##..#.#..####.#.##....#.##..#..#####.#..##.#..#..#..###..##.###...##.#.....##.##.#.##.###.#..#..#####.##.....#.#..###.....##.#.#.###..#....#...###...##.#.#........#.#..#....#......####..#.##.##.#...##....#..#..##.##.##.....###.###...#..#.#.#..#...###.#.##...#.##..####.#..#.##..#.#.###.#.#..######..#.#.#########.....#.#.#...#.#..##..##.#.#..#..##.#..#..##..#.#.....#..#.##...####......##......#.#####...##..#.....##..#......#..#..#.#........#....#..#####....###.##...####...######...#......#.#.##.#...##.#..#.....#.#####.#.#.####.#..#.#..###...#..#.#....#.....##.#..#.#...#####......###..###...#.##..#.###..#...###...#.#....#..###.#...#..##..#...#.#.#.##..##.....#..#.#.###.#.##.#.##..##..###...#.##..#......#..####.##..###.###.###.###.#.#....###..#..#..##...#...####..##..#.#....#....##....##.....#.#.###.....######.##..###..#.#.#..##......####...###..#......##.#...#.#......###.#####..###..##.##.##.##....##.##..##.#####..#.##.####.##.#..###.#.###.##.###.....#.###.#....#.#...#..#..###..#.###..#.##....#.#...#.#.##..#####.#..#####.##.#####.##.....###.#.#..##.#######.##.#....#####.####.#####.#.###.####.#..#..##..#.#.#..#...#.......###...#.#.#.###.##.##.##.#.#.#...##..##.#####..#.#..#.#..#.#.#.##.###.#.#..#..#.#..##...###.#....#####...#.##....#.##.#.#..#....####.#...#....##.##...##.....#....##..#.###..#####..#####.#######.##...##..#.#...#...##..####.##..
#..#.######.########.##.##.#.#.###.#.##..#.#.#.##....####.##...##.###..#..##..####..#####.#.####..##.....####.#..##.####.#.####....####.#.##.#######.#..#.##.##.#.....###..##..#..#.....#.##.#.####.#..###..#.##.###..##..###.##.....###.####..#.#....#.#..#..##...#..#...##..####.##..##..####......#..#....#.#.#.#...#.#..###..##...##.#.##.##..#####.###.#.#....#..##.##.##.###..#..###.##.###...###.###..##....#.##...###.#...#..#...##....###.#.......##....#.##..####..#####..##.#.....#.#..##.#.###..#..#..#.#..#######..........###..#..#####...#.#..#.##..#.##..##..####.#.....###.##...##..#.##..##.#####.#.......#.#.#..#.#.#...#..####.#.##.##..##.##.###...#...##.##....#...#.#.##..###..#.####.###....#....#..#####.###.#.#.#.#.#.#.#.###.#####..#....##.####.####.#######..#...##.###....##.##.#.#####.#.##.#.########...######..##..#..#.##.#..##.###..##...###...#..#.#.####.#.#..#.##....#..#.####.#.###..##.######...##.#.#.##..#.#.##.###.###...#.###..##...#..###.#..##.#.....#..#.#.#.#.##.#.#######.#...#....##.#....#.##...#.###.##.##....###..##.#.#.##.#...##.#.#.####.....###....#.###...#.#...#......##...#.##......#.#.##..#.#......#.##.##..##........######..###.###.##.####.###..####.#.##....#..#..######..##...##.##....##....##..#.###..##....##...###....##.#..##..##..#.#.#....##.#.#.#..#....#####..#..#..###.####....##..#.#...#...#......##.#.###..##.###.###..#..###..#.##.###..##.#.#.#.#.......###.###....##..###..#....##.#.#.###.......###..###.#.#.#######.......#.###.#...#..##...#####.####.#...#.#...####.###...#..#####.....###..#...#..#####...###...######.....###.....#.#...#....#.#.###.#....##.####.#.#..##.#####..#.####.#........####.##..#.###...##..###.##..#..##.#..#.##.#...#.#......#.....####.#.##......#..#.#..#..###.....#..#..#.##.##.###.#...#.##..#.###...##.###.##.##..##.###....#...#...##..###..#...##...#..#..#.....#....###...#.#.##...##...#.##.##..####.######..###....##...#.#...###..#..#.#..#..#..##..#.##.....#.#....#..##.###...#..#.######..#.##.#...###.#.....#..##..#.#...#####.##...#..####.
##....###.#......#.#.#....#...#.#.#.##...#.#..#...###...##.....#.####...###.#.######.#.#.###..###.####...##..#..#####..##.#..####.##...#.##...##.#.##..######...#.##....#.#.....###.######..##.#..##.##...#####.####....#.#.#......##.....##..##.##.#.###....##..##.##.###...#.##.##....####.##.#..##..#.#...#....#...#...##...#..###..#.#....###.#.....##.##.#..####..#..####.####...#.#.##...#..####.###.#.##..###...#.#.##..#.#.#...##.#.#.##.#....#.#.....#.#####.....#..#...#######..#.###..##.#.##.#.####...###.....##.#.########.#.####.#...#.##.###..##..#....#...#.##....#....##..##..###.#.##.#....#.###....##.#..#####..##..##.##.#####.#..###.#####...#.....#.###.##..#######..#.#.##..###.#...#...###.###....#....#.#.......#.###.#.###...#......##.#......#...#.#..###.###.#####...##.##.###.#.#..#.#..#.#....#.##....##...#....##.####...##...###..##..######.#..#...###...#...#.##...#..##..#..#..#.....####..##.#.#...#...#####..#.##..#..#....####...#.#..#...##.#.#.#.####...#.#......##########..#..#.#####.......#..#....##...#####...#.......###...##..###.#.#..##..###.#....#.#.#.#####.###...#..####......#.....#.....##.#.#......#.#.#.#.....######..###.###..#.##..#.#...#.#...#..#.##...##...##.###..#...##..###......#....#..#####.#####..##....###.##.#.##..#...#...##...#.#.#...###.#.........##..####.#.....##..#..##.##.##.#.....#...#.#.##.###..###.......###.###..#..#....########.#####.#..###...#.#.#..#....#.#.....####.####.#.#..##.#.########.#.#.####..##.##..##.#.###.#####.#..##.#.###.#..#.#.....#..###...##....###..#.###.##......#.##..#.#.#####..###..##.###.###..##..#.#.#..#.#.##.#####..##.##..##..##.##.##.#...#......#..#.#.#.#....#.#.#.#...##...##.##.#....#...#..##.#...#.#.#.##.#...#.#.#.###.######.#.##.##.#.#..#...###..#.#.##.#.##.#######...#....#.#.#.##.###.#.##...#..#.....#..##.#.##.#....#..########.#############.#...#..#.##.#...##.####..##.####.#.##.#...####..#.......###..##.#.#.#.#....#####.#.#.#..#.#.###..#.#####....#..###.####..#####.#..####..###.#.###..#.#..#.#.#..##.#..###.###.##.#..#..#...##
..#..#....#.##...#..#.#........#.##.###.#.#..#..#.##.##..##..#.#.#..###.#.###..#....#.##..##...#..##........#.##...###.#...#.#...##.##.#.##..#.....###..#.#..###.####.#####..########.#......###.##.##..#.##....#...#.#...#####.#...#...###.#####.#......#.###..#.#.##...#.######....#.....#..##.###.#..#.#..##.#...####.#####.....#.#..####.####.##..#.##.##.#####..#.#.#..##...#####.#...#.#.#..##.##..#..#.#..#.#.....##..##...####.###..###..........#.#..####.#.####.##.##.###.##.#.#...#.##...#...#..###...#.#..#####..#.##.##.#.###.#....##...##.#...#.####...#.....####..#..######..#.####.#.##..#...##.###.###.#..#.#..#..#####...####.###...#######.#..#.####.#...##.##.#.....###..#.####...#.#####.#####.##.#.#...##..#..###..#...#.###.##.#####..####..###..#...#......#.####.#....#...........#.#....#.#.#..#...#.###..#.##...##....##.....#..###.##.######....#..####.##.#.#####.#.###.####..#.#.#....#.#.######..#.......####...##.#.##.##.###.....##.......#.###.##..#...####...#...###.##.#..#########.#.#.##..#.####.##..###.####.##.####.##.##.......#.###.##.#..#.##...##...#..#.###.##..#..##.##.#.#..###..###....#####.#.###.##..#.###..##...#.#.#.####..#..##.#...#....#.#..#...#..#..##...##..#..#.#...#.##.#.#.##.##.##....#####.##...####.##..##..###..##....##.....#####.#.#..###.#.#..#..##....#.##.##.#...#####.#..#.#.###..#.#.#.....#.###.#####.###..#.##.##.........#....#.##.###.#......###...#..#.....##.....#...#...#.##.#.###..##..##..#####.#....##..#.####.#.###.##.....#.#..#.##..#..##.#...#.#..#....#.....###..#####.#.....##.###....#.#..####.#..#.##...#######.##.#.#.###...#.#..##....#.##.#.#.#.##.####..#.#.....###.##..#......#.###.####.####.#.#..#.##.#...#..##.#..#..###..#.#.###..####.#.##..#..#...##.#.##.###...#.#...#.....###.#..#.#..#.##.#......######.#.#.##..#.#.#.#..#......##....#....##.###.#.#.#.#..###.#..#.###..#.###.###.####..#.##..##..##.##.###.#.#.####.######..#####..#############.###.#.#.##.#..##..##..#####.##..##..####.##.###..##.#.#.#.###..##..###...####.###...#..####...###..#.###.#..##..##.#.
.#..##..#####.##...##...##...#...#.#...###.....#.##.####.####..#..#..####.#..#.###..###..#...#..###..#......#...#.##..##.#.#.####.##...######..##.#..######.#.#..#....##...##.#.#.#..##.#..###.#...#.#.###.#..#.#.#...######..#...#.###..######.....#....#.#.#..#.#....###.##.#####..##..###.##.#.##.###..#...#...#.##.#.#...##..##..#.######.#....#..###.####.##..###..#.#...##..#####.#...##.#.##..#.###.#...#.##.####..####...#.##......##...##..##.##...####.#####.##.#..##...##.#......###.#..#..##.######..##...#.#...###.##..#......#..##.##.#...#.#....###..###..####..#..#.##..##...#...#.###.######....#..#..#.#.#...#######..#..###...#..#...###....##.##..##..#..#..##.#..######.#.###.#.#.....#.##.#.#....#.....#.#..#.......###..#...#..#.#####.#...#.##..##..##.###.##..#.#.###.#.#..####...#.##.#.##..#####...#.....##.####..#..##..#.#.#.##..#..#.##.....#...###.######.##....##.##...#..#....#..#..###.##.##..#....##......#.##...#.###..###.#..#.#.##.##...##.#..####..##.###.....#..#.#.##....#..#####.##.#.###..##.######..##...####..#.#.###.....#..#.##.#...##...#.##....#.##..##.....###...#.####..###.###.....#..#.##.#.....##..##...#.#.######.##.###..####..###.#.#.#...#...#......#..#..#...#..####.#.##.##...####.####......####.#..##....##.###.....###.#..####.#.#..##....###..#..#.############..#.##..####.#.#####..#..##.#.#..#.#.#...#.#..######......##.#.....#####..#..##..####.##.#..##.###..########.#.###########.####.#....##..#####....#..#..########.##...#.#.#.#....###......#.##...#.#.####.####...#.##..#...#.#..###.#..#####..#.##...###..##.#.##....#...#.##.#..###..###.##.....##...####.#..#...#.##.#...###.#..#..#########...#......#.##.....##...#.#####.####.#.#.#...#.##..##....###.##.....##..##..#.##.##...##.####...#######..#.#..#..####..##.........##..#..#####...#..#.###.#...#.#.#.##.#....######.##.###.......##.##..##.##....#...##.####..##.#####...##..###.##.#.#.#..#..##.#.##..#.#######.#.##..#..#...####.#.###.###...####...##.##..#.###.##.....#.#..#..#.#####.####..#..##..#....#.###..##...###..###..##
..##..##...##.######...####..#.#..##.#.##..#.##.###.##.#....#.#.####.##..#.#.###.#...##...#####.#.#######..#....##......#..#.###...#..#..#...##..#....##.#.##.###.#.##..#####.#.##.#...###..#.####.###.###.#..#....#.#..##...#...#.#..#.#######.#.#...#.##.###.####...###..#...#....####...#.##.###..#..###.##..##..###.##..#..#..#.#..###.....###.#.#.####.#...#..##..#.###..###.##.#...#..##.#.###.##.##..#.......###.....#.#.#....#.....#..##.##.###..##.....###.#..##...#.#.##.###.###.##...##.#.....####...##....##..#..#####..####.#######....#..#..#.###.####...#.#..###.#.#.###.#.#...##...##.###.##.##....##.#...#.########.##.###.###..####.#...#...#.#####..#..#.##.#..#.#.##..##.#.####.#..##..##...##..#..##...#...#.#.#..#....######.....#.#....#####.##.#....##.#.#...##.#...#.#...##..##...##....##..#..###.######..#.#...#...##..###..#..##.#....##.#.#..#..#..#..#......###..#####.#....#..##.#...##..#....#..#.#.#.#.#....###..##.#.....#..##.....#########.#..#.#.......#..##..##.#..##.#.##..#.#...#.#........#.##...........#..#.######.......##..##.###....#..#....#.#..#..##.#..#.....#.#..#...###...##..##..##.#####....##...#.##.###..####.#.###..#..###..#.######.#.##.#...####.###.#..#######.###.#.#.#.##.###..####..##.#...#...####..#.#...#.####...###.#.##.#.##...#########.#.#.#####......#.####.#.....#....#.####.#.########.##..#.#.##....######.##.#####..#.#..#...##..####.##....#.###.#..##..#.###.##.##..##..###...#.###...##...###.#.##...#.####....##.##..#.#.#.#...#.#.#.##..##..#..####..##..#.##..##.##..#.#.......#....#..####.###..######.#.#.###.####.##.##.#####.#..##.#...##.#.##..#.####.###....###.####..#.##.####..#.#...###.#...###.###...###..##..#...#...##.##.##.##..##.#.#.#.#.##..#.#.##..##.#...###.#.#..##..####.######..##....#.##.###..##.##.###.####.###.###.#####...#.####..#..#.#....##.####.###.....#.##.####..#.#..#........#.####......#.###.#...##.......#.#.#.#..#.##.#.#.#...#...####..#...##.###..#.#.#.##.#.##.#.##..##....#....##...#.##....###.#...##.......#######....#.#.##.#..#####.#..###....#.##
.#####.....##.##..#......####.#.#.###..#..#.#..####...####..###.#.#..#.##....#.###..####...##....##..##.#.#....###.#..##.##.#..#.#######.#.#..#.#.#.##.#....###.#......#..######.#.##.#######.##....#.#.#.##.###.##.##...##.##.###.#.#.#..##......#.#.#.##.#...##..######.#.##.##.#.##....###..#.##..##....##..#....#.##.#####.#.#..#..#####...###...########..##..####.#..#.#.####.#.####....##......#.###...#..#...#.#.#..#.#.###..###...#...###..#.########..#...##.#.##..##..##...##.##.##....#.##...##....#....##.##.###.....###....#.##.##.###.#.##........#.####.##....#.....###..##.###.#.#.....##.##.....#...##......#..#...#.#..#.#.#.#.#....##..##.......#.###......#......##.#.........##..#.#..#.#.####.##.##...#.###..###.##.#.#......###.###.#....##..#..##....#...#.###.##.#....#.##..##..####..#..###.#.#.###.....######.#..###.#.#####..##..#..##.##.#.###.##.#.##...#.##.##...#..#..##....####....#..#......#.#.#..#..##.###..##.##..#.###.###..#......#.##.###.#.###..#.#####.##..##....#.#..#.#.###.#..#.##....#.#.....#.....#....#...##.#........#...##..#...#.#..#..####....#####...#.#.###.....###..#.#..##....#.#####..#.##....#.###.#.##..##..#.##.#.##..###..#....###.##.###.###....#..###.#####.#.#...###.#..######..#...#.#..########..#..##......##.##.#..###.##.#######.##...###.#..#.#....####...##.#.#.##..####.####.##..#..####.##.####..##....#..#.######.##..######.######.#.##.##...###.###.#..#.#####...#.#.....#......#..##..#...#.....#.##.###.##.#....##....#.#.#.##.#.#.##..###...####..#.#####...##.###.###.###.##....####...##...##...######..####...##..##..##.###..###..##........#..#.#..##.##.###....####...#.##.#.###..#.#.##.###...#..##.......#.###.#.##.#..#.....#..###..#..##..#...##.#.#....##......####.#.#.#..#.#....##.###.##...#.#####.........#.##.#.#..####..#...##......###.###.#.#.#.#.##...#......##...##..##.##...##....#...##.####.####.#..######...#.#.##...#.##..##..##..#.#..#...#..#..#.#......###..#.#.#..#.#..#...##..#....#...#.###.##.#..#....#.###.#..##...###.###..######.#..#....#......#.#.#.#.####
.###.#.##.##...###.###.##.#.......##...####.##.#..###......#...##..#...#.#...##.#..#...#.#...#..###.#...##.#.......#..###...#.#.#.#.#..##...#.#..#.#..#.#######.##.#.#####......#.#..#.#####.#..######.......#...#.#.#.#...###.##....###...##.#..#.#..##.#......#..#..#.....#..##.##..###.#.#.#......##.###.#....##..##...#####..##.#..#.##.##..#..#..##.#.###.#.##...#.#.####.#.##...#....#..##.##...##....##.###..##.####.#.##.#.#..##.##...#..###.#..##..#.....#..##.######.#.########..#....#.#.#..##.###..#...#..#...##....###.#.#..#.#..##.#..#...#.##.#.#.#..#..##.###.######.###.#.....##...###.##.###..##..##..#.####.#.#......##..####.#.####..#...........###.#..#.#..#....##..#..##.###.#.###.#.#...#.....##.#..#......#.####.###.#..##.#.#...####...#...#....###.#.....#..#..#..#..##.#.#..#.##..#..#..##.#.##.##.#.###..#..##.###..#..#.###.#.#.....#..###.##.#..#...#.##.##.##.#......#..##.##.##.#.##..###....####.#.#.......##.#...####...##.#..#.#.#...#.######..#####.##..##.##.#######.#..###..#####.###.###.#..###.#.##.##.....######..##.##...##.#.#.####..#..##..#.#....####.###.##.##.#..#...###.....#....#..##..####.#..#..#.##.#..####.###..######.##....#.####..#.##...#.###..###...#.#.##.##.##.###...###...#.#.##....####.#.#.....####.##..#.###.#.##.......#.#.###.#..#...#...#...##.#..##...##..#.#####.##...##.##.######..#....#.##.....##....#.....#.###..##..##########..###.###.#.###..#..#...##.....##.#..#.#.##..##...#..##.#..#.#...##...##..#.###.##.....##...#.###......#.##..#.......#.###.#.#..#.#.##.#.#..##..#...##.....##..#..####.#.##...#..##.#..#.#.#..##.###...##.##.######.###....#..#....#####.##.######.#...#......##..######......#.#.###.....#.#.#.##.#....#####.#.####..#...#.#.....#.##.....##.###..##..##.###.#..#...##...##..#..######.......####.#.#..####..#.....#.###.##....###.#.#...#..#..#.##..###.#..##....#..#####...##..###.##.#######.#..#.#.#.#...#...###.....#.###.#..##..#..##.....#######......###.##.####....#.#####.#.######.#..#.#.##..#.#..#.#.##.##.#.#.###.#.#....##.#..##.##..##.....#...#####...
##########.#.#.#....##..##.#.##.#.#####.##...##.###........##.##.#..#..##.#...#....####.#.#.....#######.##..#....#..##.####.....#.##......##..#..#..###....########.#..#...#.#....#.#......##..#.###....##.##......#....##.#..#.##.###...#.#.#.#.#....##.##..####.#.##.#..######.....###.....#.#.#..###..###.......##.#.#..#####.#..#.#.###.....####...###.#..#.#.#.#.###.##.#.#.#.##.#.###.##.##.###..##.#...####.##.#.##...#..#.#..#.##..#..##.#####...#.....#.##.##..#.#.#..#.........#....#...##..###.#.#.##.####.#......##..###..#....#..#.#..##.#....#.#..##..#....####.#.##.#.###.#..#.....#.#..##..#.##......#.##.#..##...#....#.#..##.##.#.#.##.##.###...##..#..#.#..#.#####..#.##..##.########.###..###.#....#...##..##..###.#.##..#..#...#.##..#..#..#.#.#.##..###.#.##.#.#...#......#..##.##...#..#.##..##.#.#.#.##.##..##..##...#....#..##.#.###.#..#.###.##........#.###...####....###.##..###...#.##....#.####.#.##...#.####.#..#...###....##.#..##.#...#.#.#.#...##.#.###...#..##..#..#.#.####..##.#.#.#.####...#.############.#.####.###.#....####...####.##..#...#.#.####.#.##....#.#.#..##.#####...##.##.#.#...##.#...#.###.#...#...#...#####.###..#.#.###.#..##.#..#....##..####.#..###.##..#.#.##..#..####.##.#......###.#.##.####.#..###.##...#..#.###..#..##.######...#..###.#.#..#.###.#.#.######...###.#....#...#.##.#....######.#.#.#####..###....####.###..#..##..######...####..#...####.##.#####...###.##.##..######.#..##.#..#.##.......##.#..#.#...######.####.#...##....#.##...#..##.#.####.#...#.##.##...###..####.###..##......##....#.#..###.#...##..###...#.#.##..######.##...####...#.##..###..#...##.#..#..#.#......#...##..#.#..#.#..#..##.#####.#..#.#...##..##....#.#.#.#.....#.#...#.#..##....#...###.#.######.#..####.##....###.##..#.##..##.##.##..#.#....#.#.##.#..#.#.##.###.#..#..######..#.####.#.###...#.#####....#.#..###..####.####.#...#.#.##..##.####.####.####....##.###.#...#.#...#.#..##.##.######.#...###..#..#####...#.#.##.#.....###......###.#..##.#.#.#.#.#.#####.##.#..#.#.####.##..###..#........#.###..#.#.#.#.#
.####..##......#.##..####.###..#..##.#...#.#####..#.#..#.#....##.#.#...##...#..#.###....#..##.#..#..#.#.#..#..###.#.#.##...#.##....###.#.###.##.....######.#.#..#.##..###.####..##.#####...##..#.###......###...#...#.#...###.####.##..#...####.##.####..##.###.#.##.##..#.#.#.#...#..#...##.#.#.#.##..######.##...#.###..#..#..#.......#..##.#.#......##..#.#..#..##.#..#.##.#..#..#...##.........##.....#.#.#.###.##....#..##...#.......##...##.#####..###.#.#.#...#.###......#.#.#.#..##.#.#.###.........#.........#.#.####.#....#.#.##..#.#....##.######..####..#...##...###...#.#...###.##...##.#.....##...###.....##...#.##.#...##.#....#.###..#.###.###.#.##...#.##.#.##......###.#.##.#.....#...###.####..###..####.###..#.#....##..###...#.###...###.##..#..#..###.#.#..##.#.#..##...#.#.#.###.#..#.###......##.#..##..##..#...#.##...#.#.#.###.#.#..#.###...###########.#....#.......#.##.#..####..##.#..#.#...##..#..####..##.####...######.###.#.#.....###..##.#...#.######.#..###.#...##..######..#..##.#.####..##.#..#....#..#..####.###..#..###.#.#.#.#.#.#.#..###.##.####.##.####.......##..##.####.#####..###########.#..#.#.....##..#.#...#...##.##.#####.#####.#.##....#...##..###.#.#.##.#...##.##.##...#..#..#..#.###.#...##.##..#...#.####.#...######...#..####.##.###.##...#####.###..#.#.#...#...#.#.#.#.#.#..#.......##..#.####..#.###..######.##.###.##.##.#.####....##.#..###.##..###..#.##...#####...#..###.##..#.###..########..#.##...#.....#..#...#.......##.#.#..#.#.#....######.#.#####.##....##.#..#.#.##..#.##.######.###.###.#.##..#.#.##..#.##.....#..####...#.#.###..####.#...##..#.###.##..#.#.#.##.#..#..###.#####......####..#.#####..#...###........#....######.#.#..###.......##..#..#.##....###....#..#####..#...###.##...#..##..####..#####..#.##.###.#...##.#####..#.####.###..##....###.###.##...###.#..####....##.##...#..#####.#..#...#..#.##..##..#.#######.##.#...##.#.##.#.#..#..#...#....##....#.##..#.###.###.#..#...#...##..####...###..####..##..#######..#.#####.###..#.######.#.####.#.....#..#..#.######....#.##...#.
.##..#..#.....###.#.#.#.....#..#.#.#.##..#..#.##...#####.#.#.#.#..#.#.#.#..#.####..#.#.....##...######....#....#.#...##....#..#.##..####.#..##...#....#.#.....#.#.##......#..#.#.#..#..#.#.###.#.#.#....#...###.##...#.#..####.#####.##..#..#.####.#..#...#....#.#.#.#.###.#.####.#....#.....#.###.##.###..#.#####..#...#.##....##.####...#...........#...#.#..#.....#..##.##....#.#...###..##.#.#.....##.......##..##...#.#.#.......##.#...##..##..###..#.#..#..###..##.###.#.####........#.##..####..#.#..##..#..#.##..#####..#......#####..####.##.####...#####...#.###....#..#.####.##.###..###..###.#.....######.###.##.#.#..#..#.##.###.#.#...#..#..#..#..#..##..#..#.#...###...#..#..###...#.##.#.#.##...##..#####..##.#######.##.#.#.####..######..#..#..#...######.#...#......#......###..####.###.#####...#.#.##..##....#.....#.###.#.#.#######..###.#.##########.#.#.#####..#.#.##..#.##.#..##.#####.....##.##..##.#.#..###.#.#...####..#.#..#..#.#.##.......#..##...#.###.##..#..#####.#..##.......##.####.#.#...####.##..##..#####..#..####.#######....#.##..#.#.#..#...##..#.#...###..#..##.##..#####.##.#..#..##..#.##.#.#...###.#.#.##.####.##.#..#...###.#.##..##..#..##..###...#...#.#.#..###..#..#.....#####..#####.#.#.......##..##.###..##.#.#.#..#.#####.##........##...##...###..##.....###.#..##.##...#.#..#.#........#.#..##..#.......#####..##.##.##...##..#.#..###..####....#...##..........####.....#..#..#...#.#.#.#.##.#.#...##..##.#.....########....##.#.#.##..#..######..#..#...#.###.#....#..#..###..#.##.###...#..##.#....#...#.#.#....####.#..#...##.##..#..###.#.#.#..#....#.#..#.#......####..#...........##.....####.#....#.##...###.###....##....###...###.###...#....#.#.###.#.#..###...###.#.###########.##.#.###.####...#.##.##.#.#...###.#...#..#####..#.#..#.######.#.##.#.##...##.#.#..##.###.#.##.#....#..##..#...####.#.#.#..#..##...#..##.#...##.#.##.#.#.##..#.###..##...#.##......#.#.#.#..##..#.###.#.......#...####..##.##.#.#.#...##..#.##.#....##.#.#..#.###.###..####...#..#.##...#.#.##.....#..###.#..#....##..####....
......#.#...#...#..#..##.##..##.#.##.#..#..##.#.##.#.##...####.##.....#.###.##.###....#.....###.###..#.##.#.#.##..#..##.#..#..#...#.#########.#.###.#..##.###...####.#..#...####..#####.##.###.#.##.#..###.#..###....#......#.#####.#..#####....#....##....#...#.###...###..##...###..####.####..###.#..##.######..#.##...#.##.#.##...##.##..#.##.#...###.###.####..#...#....#...##..######.......####.###......#####..######.##.####.#..#.#..#...#..#..#.##..#.#..###..###.....##.#..#.##.##.#...#...##.###.##......#..####..##...##...#.#.#.###...##.#.####.#.##..#..#.###..#.##..###.###.#.#..#######.##.#####.#.....##.###.##...#...#...#.##.#...#....#####.....###..##.#..#..#.#..##.##.###...#####.#..###..#...#......#.#..#..#...#.#.#.#..#...####..#.#..#########..#..#.##...#.#..##..#.#....#..###....###...###.....#.###...#.#...##..#######..##.#..#..#..#...####.....#.###..###.####...##.#..##..#..#..###..#...###..#..###.###..#...#.#...####.#...##.#.#.####.##.....#.#..#...##.#...#..#.#..#.##.###..#####.#..#.#.#.#....#####..###..#####.#####.#.###.##..##..##.....####..##.....##.......#...####.#......#.###.....#..####.####.###..####..#..#.....#.#..##.#.#..##.#.##.#..#.##..###..#..####.####..##.....#....#.#...#.#.###..#..#####..#####.#.....#.#.###.##.#...#.##.##..#...#.....#.###.#.##....####...#.....##..####.##..#.#.#..###.#.#..##.#######.###...###...#.##.##.#.#.#..###.#...####...#..#..####.####.###..#.....#...#..###..####.###.##.#.#.#.#.......#......#...#.#....#...##.#..######.##.#.######.##..#####..###.##....##...#.#..#...#...#.#..#...#.##.....#.#.#.#...#.......#.##.###..#.#..###.####..###...##.#.###.#..#..############.#...#...#.#.#.##..#....#..#.###..#.....##.###.#.###..##.#.##.#.#.#..##..##.....#.###..##..#..#.###.#...#..###..##.#.#..##..###...#.......######.##.#..#......###.#.##....#.#.......##..#..###.#####...###.#....#..#.##..#......#........##########..###.##.#.##...#.###..##..#####.##.##..###...#.#...#...#.###..#.#...#..#.###...#...#..#.#.##.#..#####.#..#.##..###.##.#.##.#..#.#.#..#####....#
..##...#.##....######..#####.#....###.#.###..#..#####...#...#..#.#.###...#..##.###....##.##.#...####.##.###...#.####.##.##.#..#..###..#.#...##.###.#...##.##.#.#....#..#..##.###...#..##.#.#.###.##.##.#..#....###.##.#.##..##....#.#..##..#...####..########...##.###.#####.###...#.#####.##...##...#...###.##.#........#....#....##.#.#....##..#.#...#.#######..#..#..###....#...###...###.##.#.##...##..##...#......#..#..#...##.###..##..#.#.#......#..#..####.#.#.#..##.##..##.#....#..#.#....####...#...##..#...####..#..##..##.#.#..#..#...#.####.#..##..#...#.####...#...###.#####...#..#.#####.#.#.##.###.#...#.##...###.#.#.#..#...#.....##..###.##.####.######.#.#..#.....####....###....##..#...#..#..#..#.##.#.##.####..##...###....##..####.##..###.####...##..######.#.###......#..#..##...#.###...#######.#.##.###..##.#.#.#####.##....###.#.##..#.#.######.##..##...#.#..###..##..###..#.##.###.##.#.###..#####.....#..####...#.##..##....#.##.#...#.##..###.#.#......#..##.#.#.#####...#.#.##.#.###......##..##...#.....#..#.#....####..#.....#.#.##..###..##.##.##.##.###.#..#.####...###.##..#..##..#.###..#.#.##..#.#.#..####..#..#.#####.#.###.##...###..##...#.#...######..#...####.##..#..##..#..#...###..#...#....###..####..##.#....#..##..##...##..####..#.#...###..##..#...#.#...#.....##.##.#...##.###.##.###.###..#..#.#.##.##.#.#.#...##.##.......###.#.##.#...##.##....##.#.#.##.#...#.#.#.....#....#.......##..###.#..###.##.#...#.#.#.##..##...#.##..#..####.#.#####.#...#.#...#.#.#....#...##.#...#.####..#....#.###.#.##.##.#####.#..##...###.##.....#.#..#.##.#.#...##...#.######.#..#..#.##...##..#.##..##.#..#.#.##..###..#.#####...#.####.######..#.###..#######.#..#.#####.##.##.#.#..###.#....#.#.#.######..###..#..###.###.....#...#...#####.#.#..#.##..#.##.....#.#..######.#...#.#..#..#.#.##.###.##.##.##..#....##..###.....##.#.....##...####...###.....##..#....#.#.###....####..#.###.##..#.##...######.#.....#....#.##...#...#...#..#.#.##...###.###.#.#...##......##.###..##.#..###..###.#....##..#.....##...#...#....#..####
.#.#....##.........#...#...#.##.#..##...##.#.###.#...#....#.##.####.##.#.#..#.###..#.###.#.#.##...#..#.##.######..##.#..##.#.##.....#.##...#....#.##...####.#..##.#....###....#..##.#######....#...#.###.#.###...#...####..##..##.#####..##.#####..###...#....#....#..###.###.#...#..##......###.###.##..#..##.#.....#..###.#.#####.......##...#.....#..###..#...#####.##...#.####.######...##..#.#.#.#.###.###..##.#...####.#.##...###..###..###...#.#.#.########..#..###...#.##...##.###.#.##..#...#....#.#.#.#.....###......#####.##.##....#..#..##.#..####.##....###.##..#####.#####...#.#..#..#.#......#.#.##..##..###.##.###...##.#..#..##..#.....##.#####......#...#..#####...#.#..#.##.#.##.#.#.#.##....#....####.....##..##...##.....###.##...#.#...#####..########....##..#.#####......#..#######..###.###.###..#.#..#.#.#..#.#..#.#..#.#.###.#.#.#..###.#....##...#.##.####.#..#.#.#...##.##.#.#.###.##..#...##....###..#.....#..#.#..###.#.#.####.##.#.##.#.......####.##...##..#..#.#...##.#..#.#.#.#....####.###.#####.##.#.###.#.#..#.#...#.......#..##.###.##.#..####.#.....#.#.###....#####.#.###..#.#.....#.##..#########.#.#.##.#.#..#.#..###.#######.###....####..##..##.####.######.##.##..####.#...#..######..#.##.####.###...###.#.##..####...###.#.##.##..#.#.##..#.##....#.###..#.#..#........##.#.#.##.#.###..##...##...##.#..##......#..#..#..###....#...#####.##.#....#...#...###.#.#####..##.#..#.#.#####..#.##.....#..#####.##.#..###.#..#...##..###...#..##...#.######.#...#.###.#.##.##.#..###.......#...#.....###...#.#...#......##.##...#.#.....##..#.###.#..###...#.###.##.#.#...###...##....#.##.####...##..##.#.###.#.#.....#.####...#...#.#...##.#.##....#########.###..#....####..........#####.##.##.....####.#.....####.....#.#.#.##...#...##.##.#.####..##.#.##.#####...#.#.##.###..##....###.##.##.###..###.#..#...##.....###.#...########.#......###.#..##.###.##.###.#..#.#.#......#.####.#..####...##....#.##....##.#####...#####.####.#..#.##..###.#...#####.#..##..#...#..##.##.##..#.##....#..##.#.....#.####.##.#..#.#..##.##.
###.###...##...#.##.#.#....#..#.#.#...###..###.##..#..##.##...##..###.###...#####.#.#.....###..#....##.##...#..#..####.#.......###.##.##....#...#....#...#.##..###...#.....#...#...######.####...#.##...##.#.##..#####.....##.##.#.####.....##..#..#...#####...###......##..#.###..##..#.##.#...#.#..#...##...#####...#.##...#.##.#..#.#.##.####....#..#..#.##.#.#.#...########..##....#.#.#..##...###.######.#..####......#.#.#..###..######.#...#.###..#..##.##.#.#..#.##....#.#.....##.##.....####.###...#.##...##..#.####.#..#..#...##...#####..#....#......###.###.##..###.##..#....#...##########......#...#.#######.#..####.#..#.####.####..###.#.##..###....###.###.###...####....#.###.....#.##...#.#..##.#...###..###.....##...###....#..##.#...#...####..##...####.########..#.#.###..#.....###..#.####...##..#...###..#.#.##..#...##.###....#####..##..##......##..##############......#....#####.#.###.####.###....#.##..##...##...#.#.#..####.###.#.###...#####....####..###.#...#########...#....#..#....#.#.#.####..###.#.#..#....##.##....#..#.###..#...###...##...#......####..##..#.#...##.#.#.##..###...##..#....#..##.######...#.#####.#.###.#.#.....#.####..#....#.#..####.#.#.......##.#####..#.#####.#........#.#.#...##.###.#.#...#...#####.......###.##.###....#.#...##..####.#..##.....#....##.#..#.######.##.#.#.#...#.###.#.#.#.##...##.###..#....#..#####..##.#..#...#.##.##.##..##.####......#.####..#.#.######..#...#..#...#..#..#.##...##########..#...###.....##..#.#.##..#.#.#.#..####.#..####.#.#....##..##.##........####...##..###..#....#..##.#.######.####....#.#.##.##..#...###...####...##.####.#.....#.#....#.#.#..#.######.#..#..#.#....#.#.##.#..###....#..##.######...#.#.##.#.....##..##.#.#...#..#.#..#..##.#.#####.###.#...###...#............###.#....##.....#..#..#..#..##..###..##.##.###.#...##.##.##.#.####..#.#...#..###.#....#.#...###.###.....#.#####.###.#...#....#..#.###.###....#...##.#######.#.##.##..#.#....#...##..#..#.....##.#..##..##..#.#.####....#..#......##..####.##..##.##.....####..##.....#.##.##...##
#.##..#...#..#..##.#####....###.#.....######.....#.#.##...#.###..#.##.#..#..#.##......##..##.....###.#.....##..#...#..#.#..####...#.#...#.###.##.....###.#.....##........#..#.#.#.#.#......######...#.#..#.#.###..#.#.#.#..#.#...#...#....#.#.#.###.######.#...##.....#...###.#.#.#..#....##....######..#.#.#.#.##..####...#.##.#...#.#..#..##...#...#.....###.#.#.......#..#.##..##...##..####.##...##.#.#..##.#.###...#.#.#..####.###.#..##.##.#.#...##..#####.#####.#..#.##.##.....#...#..#....#....#.##....######.......#..#.##...###..#####.###....###.#.#.####.###.........#.####.....####..##..#.##.#......####..##..#...###.#...##.#.####..##.##.#...#.###..###..#######..#...###.#.#........##..##.###.####..##.#.#.###.#..#..##.#.##....###.#.#.##.######.#.#####..#.....#.#..#..##.#...####.#..##.#..#..#.###......##.#...#..#######..#.....##.#.##...########.#..###...##..#.#..#.#.....#.#.#.#..#.#.###.##.#..###.##.##...##..###...###....#####.#..###...##.#.#..##...#.##.##...#..####.#.##.#.##.#.#.###.##...###..##.#..##..#.###..###.##.###....#..#..###..#..##...#.###..#.##..##......####..##.######..##.#..#...#.#.##.##.###..#.##...######...#...#.##...#..###....##...#.####.##..#.##.##..#.#.#.#.#..#.#.##..##...#..#..#...###..#.##.###.#..#..####..##.#.#....######.##.#..###...####.##..#.#####...##.#.###..##..##.#.#....###.#.#.#..#..........###..####..###....#..#.#.#..##.#..#..##..###.#...#.####......#..#.####...####.#.##....##.##.##...#...#.##.#..#####.#.#.#####..##.##.######...##.#.###..##.##..##...#..#...#####.####.##.#......#.###...#.##.##..#.####.##..##....#..##.###...##.###.#..######.#..#.#.#.#..###.#..##.##..#.#.......#..#.##.#..###..#.##..#.#.....#...##.#.######.##..#..##.#....###...##..#.#.###..#...#.#######..#.###..##...#.##.#.#..#.###.#..####.#..#..#.....#.##....#.###.#.##.#.#..#...#.###..#.##.##.###.#.###..#.#...#..#.##.##....#.#.#.#.####....###...##....#.##...#####.#...####.##.##..###...#####....#.###...###...#...#.#.##.#....#.##.#...###.#.#.##.#.#.#.####.......#.#.#..#.....#.###..#.##....###
####..#...#.###.######...##.##...##...#...#...###..##..#.##.###.#.####...#.#.#.#....###..#....#..##.#.#......####.###.##....#......#.####.##......#.####.#.#.#.#........#..###..#.#.#.#..##..#...##.#..#.#####.#..#.##.##..##.##...#.#####..#..###.#.#..#.###.#...##.....#....#..#.##...###.....####..##........##...##.#..###....#.#.###....#..#.##.###..#.#.##...#.##.#.#...##.#####.##.#.....##.#.....#.#.##.####.###.#####.###.##.#.#.##.##..##.#####.##.##....##.#####.#....####.#######..####.#####.#.#.##.#.#..####..##..###..#####.#.#...##.#...##.##....#..#..##..###.###....#..#.##...###..#.##.#..##..#...#.#........#.###...###..####.#..#.#.####..#..####.#.#..###.##.#.#..#....#.#...###.#.##.##.####....#.##.#..##...###.#.#.#.#..#..#.....####....##..##.#...#######.###.#..##.###.#.....####..#...#..###.#....#.#.#..####...#####...#.###.#.#.#.#..##.#...#.#.#.#..#####...#.##.###..#...######...#.#####.....#.##.##...#.##.######.####...#.....#####...##.##.#.#..#.###...#...##.######.#...#...###........#.#..#.##.##.##.##..#...##.#.##...####.#####........#..#.#..#.##...#..#.#.#...######...#..##.##..##.#...#..#..#####...#..#...###.##...#.#.#.##.#..#...#.#.###.#.#.#.#.##.#.##..#..###.#..#.###..##.###.####.#..##.#...####..#.##.#...#####.#.#..#####.#.##.####....#.###..###.##....##.###########...###....##.#.#....#.#...#..##.##...#..#..##.#.#.####...##...##...#..##.#...#.#.#..###.#....#####.#.#.##.#.##.###....#.##.####..##..#....##.####.#.##.....##.#.#####...##.#.##.##.#####.###..##.#.######...#####.##.#......#..##.##...#..#..#.#.#..###..#..#.#.###.....#.#......##..#.#..###.#######...##..#..##.####.##...#.#.##..#..###..##..#####.#.#......#...#......#.##...#....#.##.#...##...##.#.#..###...#..###..###.##..#...###.##.#.#.#..#.#.#..##............####.#....##..#.#.#....#..######..#..##......##.##.##.##..#.....#######.###.#.#..#.....##.#...#.##.#..#.#..###.#.#.#..#..###.#.##....##.###.#..####.###.##.#....##..##.####......#.#.#.##..###..#...#..#.##...#####.#.#.#...##.......##.###.###...##...##..###.#.##.#..
..##.#.#....#.##.###..###..#..#.#.#..##...#####.##...###.####....#....#####.########.#..####.#.##.#.##...####..######.#.#..###..#.#.#...#...#..####.###.#.##..##.....#.##..#.#..#...##..###.##......####.#####.##.##..####.#....####...#..####...#..####.###.#...#.#.#..##..##.#.#.#.###.#..###.....#.#.....#.#....##..###.##....####.#..####...#.#.#.#...###..###..##..#.#...#.##..######.#####.#.#...#######......#..##.####.##...#####.###..#..#..#....#####...#..###.###.###.##########...#.....#.#.####..###.#..###.##..##.##..#..##......##..##.###.#...##..######.#..#.###.#..#..##.#.###......##....###.#..#.###...###....##.#####.##.##......##.#...##..##.#####.##.......####..#...##...###.###......##....##..##..#.#..#..#.###.###.#.##.#.##...####..#######....#.#...###...#.#####.##..#..##.#.##..#.#..#....#.##.#..#..######..##..#########...####.####.#.#.##.##.###.###.#.#....####..###...#.#######.#.####...#####..##.#...#####.#...#..###.##..#.####..###.##...####.##..####......#....####.####.##.#.##.####.#.###..#......##.###..#....##....#.#...#####.##.##.##.#..#.##..#.##.#..#.#....##..##..#....######.#####..#....###.#.#..#...###.#.###########...#.#..######.#.#.#####.#.#...####.##.#.#..#.###.#.#..#...#..#.#####..#.##..####...#.#..######.#.#..#.######....###.####..#...##...##########..#.....#.##..#.##...##.####.##.##.#.#.##..##..#.#.#...###.#.##.#.#.#.......#.####.#...#.#.##.###.###.##..#..##.##.#.##...#.#..##..#.#....#..#..####.........######.####.##..#....#.#.##...#.#.#...##.###....##.......#.#.###........#####.#...#...###.#..####.#.#######.#.#.#..#.#.#...#..##...#.....#.......##.....#.#..######.####.#.##..#......#.#..##...##..#..##.#####..###...####..##.#.#.#.##..#.####.#.##...##..#.####..####.#..#...#.##..##......#.#######......###...#...##...#.#.#.####..#.##...####.#..##..#..#..#.....##.###..#...######.##..#...#......##..#..#####..####.#.#####..####....##.###..#.#..###..#.#...####.....#..#..####..#....##..##.####..#..#.....###.##.#......###..###.###.#...##.##.#.#..#.#..#.#...##.##.#..##..
.######.###.....##.#..##.#.#.#.##.#.##.#.###..#.##.#...##....######..###.#...##..###..###...##....##...##........##.##.#.#.#.####.###....#.#..#.#...#.#####.####.##.###..##.###...#..##..##...#.#.#..#..######.#...#.##.#...##.##..##..#..####.####.###.#.###.###.#######...##.#...#.#.......#.###.##.#####.#..####..######..###...#.######.#.#....##.###..#..#..#.##.#..#.##...###.##.#########..###..##..##.#.##.##..#########...##.#.###..#....#..#.##.#..#.#...#.#.#######..#.....#.#..#..####.#.#.###..#.###..####..#.##.#.#.#.###.#.#...#.#..#......#...###...#..##.....#..#.....##.####...###.#.#.###..#...#.#.#.##....#####.#..#####...#..#..#.########...###.##.....#####...###..##....#....####.##..##.###.##...#.......##.#...#..#####....##.##..#...#..###.#.##.###....##......#.....#..##....#.....##.#...#...#...#.#####..#.##...###.....#.#.#.##.#####.###.#...#####..#..##.#.#..#...#.#....#.#....#####..##.........#..###.....###......#####......###..#.###..##.#...#.##..######..##.#.......##...##.#..##.#.#.#.#..#..#####.##.##.##.#####.##....###.####..#####..#..#...####..###.#.##.#..###.##......##.#..#.#..##..#.#.##.#.#.####..#.##.##....#.##....###.#####.#.##...#.###..#.####.#....#..#....#.....#..#.####..###.##....##.###.###.#....##..#.#..#.##.##.#..#...#.#.#.#...#.#..#...#.#.######.##..#.####...#.#.....#.#...#..#######.#.###..#.#..###..#.......#.#.##.#.####.##.#.##.....###.#..#..#..####....##.........#######..#####.#....##.#..#####.....#..##...#.#..#########.#.##.#.#..#..#...##..#.#..#.#.#.###.###....#.#..#....####.#.#.##.#.#...##..###..#.##...#.#.#..#####..####.##..####...#..#.#.#.......#..####.######..#.....#.#...#.#..##.#..####.#.#..#.###.#####..####.####....##.###.##..#.###..#.####.######.###.##.#.#.#.##.#..#..######..##.#....##...#.#####..###.####.#.##.#..##.....####..##.#...#.##...##....#.#....##.##...##.##...##..#.#..##.#...#....##.####.#.#.##.##...#.##.#..##..###.#.##.#.###..#..##.###.#..##.#.#.##.#.##.....##.#..###.##....##..#......####...#.###..###.####..####.#.####..#.##.#..#.#..#.##
##.#.#.###....#.##..####..#........##.......#.##.#####..#....#.##..###..#...#...##..#..#.#.#.###.#.##..#..##...#..#.##..###.#####.##..##.##....#.#..#..###..##.#..##.###.#.#####.##...#..##..#.##..##.#####....#....##..#.#......########..###..#..##...####......#...###.#.###..###...#.#...###..#.#####.###.#.##...##.###.....#..#.##...#.#...##.#...#.####..####.##..#..##..#.#.....###..##..###..###.#..#.#..##...#.#...#..#...#.#.####..#....#....#..##.....##.....#..##.####...#..#.#.##.#..##.....#.##.#.#......#.#.#.###.###.###..#.######.##.###..#.#...#####.###.#.#.....#.#.....#.##.#..##......#...#......###..##.#...#####..####.#.#....##.#..##.###..##...##..####.##....#....#.#######..###.#..#.#...########.##.##.##########.#.###.##...###..#..#####.####...#.##...#.#.####.###...#####..#..#..##.#.##..#.###.....#.###.#...####.#.#.###..#####..########...#..#####..#..##...###.######.#...######..#...#....#.##.##.######.##.#####..##.##..######.###.#...##..#.##.##.##.#.####.#.#.##.##..#.#..##..#######.###.#.#.#...###..####.#..###....#...###.#..###.#####...##.#...#..#.#.....##.##.##...#.....#.##.##...##..#####...#.#.#...#####..#.#.#.#..#.#...###.##..#.#.###.##.#...##..##..#..##.#...#..###.###.##########..#.######....#.#.##..#........#.........##.#.#....##.#.##..##.#.###.#.#..##..#..#..#.##.....###.#..#...##......#..##.##....###.#.##.#.##.######.#.##.#.#.##.#.####.#####.....####.#..###..#.#..#.#######.#...#..##.#.##..#####..#######.##.#.#.#.#.#.##.##..####..###..#.#..#..#...######.#..#...#...###.###..###.########.##....#.#.#####...#........###...#..##......###..#.....#.###.#....#...#.....#..#.##....#..#.##...#..#...#....##.#.##.####..#####..#..######.##....#......###.######.#.#.#.######.#.#.###....#.#...##..#.#.#.##..#..#.###.####..#....#.#...###.###.##...###.#..##.##.#.##.###...#..##.#..##.#.#....#...#....##.#..###...#..##...##..##.##.#...#.#...#.#....#.#......#..####..#.#........##.####.##..#.#.##.##.....##..#...#....#.#.#....#........###########.###.#..#..#..#..##.##.#...########.....####
.####....###.#..####......####..#......###..#.#.##.#..###..###.##..###.##....#..#...####..##.##..#.####.###..##....#...###.#.#.#####.....##.#....#........##.#..#...#.#...#.####..#.###.#..##.#.###.........#.##.#.....#.##...##......#.#.#...##.....###........#.....##.....#....##.#.##.#..####..##.###.....#.#....#......#.#.#.#.#....##.#...#...#...####..##.#.##....###.##...#.##..###..#...#..#..####...#..#.####.#.##..####.#.....###...#####...###..#.####....#.#.#.#.####.###...##......#....##....#.#...#...#...#......#####.#.##.#..#.###.#.....#...#......#..####....#.#####.....####.###..#######..#..#......#.#...##.#.##....#.##..#.#....#....#..##.....#....#####..#...#..###########.####.###.#.#...###..#...#......#...##...#.##...###.###..#.#.##..#.#..#.#..##.####.#.###.....#..#..####..###...##.####..####..##.#..#.##..#..#.##.###.#.##...#.#.#...##.##.#.#..###.#...#####...#.#..#.###.#####....#.##.#......#..#.##..#.###...#...####.####..#.#.#.##...###...##.####..#...###...#####..#.####.#...#..##....#....#...######..#...#..##..##.....##.####.###.#.##.##.#.##..##....#....###..#..###..##.##.##.##....##.....#.#.....#..#...#.....####.#####..#.##.#.##..#.####.####.#.#..####.#..##...#....#####..#.......########.###......#....#..#.#..#....##.###.##.###...######.##..#..######..#....##.#.##...###.....###.#.#.##..#.#.#.##..##...#####.#.#.##....###.####.#...##.#####..######.......#.####.#..##.#.#.#.###......#..##...####.....##..####.###.###.#..#....##.#..###..#.#.#..###..#..###.####..###...##.....####.##.##.####....#.#####.##.#####.##...#..###.#.##.##..#.##.#.#..#..##.##....#.#..##..##.#.##..#....#.##...##.#...###.#..###.###.#.##..#....#...##.#.##...#....#.##..##.######.#######....###....#.#..###..##....##.##.....#.#.####.#..##..##......#..##..##....###.#..#.#######....###..##.####.#.#.####....#.##..#.#.#.#..#...###.#..#....##.###.#.###.#....#.#..#.##...##..#.#..#..#..#....#.#....##.#..##....####.#..#.##.##.##.###.#.#.##...#.#.....###..#.##..#.####.####..#.##.#.#.#...#.#.#.#.###.##..##...##..#.#
.#####.#.###.#..#...####..#....####...#.###.##.####.#...#....#.#.#.####.###.#####.#..#.##.####....##.#...#..##..##.#..#.##.##.##.#..#..#..##....##.#...#....######.#..###...###.##.##..#...#..#..####........###......##.#.#####.##.......###..#.###..#..#####..###..##...#.#....######..###..####.#..#.#...##.########.#...####.#.#...#.#.###...##......####....###.......##...#.#...####...####.....#..#.##.#.##.###.###...##....##.#....#.#......#..###..#.#####.#######..#.#......#..###.#.#....###.#..#...####..#.#######..#..#.###.#.#...##.#.#..##...#..###.##.###.#..##.###....#.###.##..##.#.##...#.#.#.##.####..##.#..##.#..###.#..####.##....##.#.#....#..####.#...##.#.##.##....#..##.#..###.##..##.#..#.#.....#.#..#...#.#.#.#......#..#.##.######.##.##...##.#..####.#...##.##..#######..###..#.#.#..#....###.#...#....#..#.##.##....#.#..#.#.##..#.#..###..##..#.##.#..#.#.##...#.####...#.##.##...#...#.###.#..##...##..###..#.#.#######.###.#.##.#..##...#....##.##.####......#######.#.#...##.##...#.#..##..##....#...#......##..##.#..##......###...##.#..............#.###..#.##.#..##.#.#.....#...#..###.....#.#.###..###...#..#..#......##...#..##.##.###.###.###..#.##.#....#.###..#...#.#.#..#..#...##..##..#.####.###...###..##......#.#..##...##....#.##......##...#..#.##.....#..#.....##..#.##.##.##.#.#.#...#....#..##..#.##.#....#..###.#.##..##.#..##.#.#.#..###.#..#...#.######.#.#.#.###.#.#..#.##.#.#...#####.#.#.#.....#.##...#...#..########..#.#..##.#.##.##..####...##.#..##...#..##..##.....###.#######.##...#####...#..#......##..#..#...##.#.#.#.#.#..#####.###.#.#..#..#####....#.#.#.#..#######..###...#...#..#...#.###.#.##...##...#.#.##...#...###.##.#.#..#..#..#####....####.##..#...#...#.####.##.#....####..####...#.#...#######....#..####...####....##.###.#.#...#.#..#..#.#.######.#..#.##.###.#.#.#...##....##.##..#####.##....#...##.##.#.#.#.##...#.##.##..#.#.#.#...#......##.#.#..##.#..#...##..####.##...##.....#..##.#.##.#.#..###..###.#.#...#..#.####.#.###.#....##....##..#.#..#.#...#.##..#####.....###..##.#.##.
##..###...##..#..###..##..####..##.######..#..#.#.##.##...##.#..#....#.....###.##....#..#.###...##.###...##.#.#....#..#.#.####.#..##....#...#.#..##.#.##.##..##..##.#..###.....####..##...##.##....#..######.##.#..####.#.#.##.##...####.#.#.####.#...####.##..#..##.###...######..#####.###.#.#####.##..#.###...#.#####.#.###....###.#.#.#...##......##.####.##.#..#.##.#..#.#..#####.#..#....##.#.####.##.##...###....######.#....##.#.#.......##...#...#...###.####.....#.#..##..#.#..#####....#######.#..##..######.#....##.#.#..#....##..#..#.#.#......#.#....#.##....#.####..##.#....#.#..###.#.##.#...#.#.####...#.#....##.##..#..#.###...###........##..#..###.#..#.#.#.#..######.....#.#.#.#..##..##.#.##..#.#....#.##.#.....#.###..###..##.##.##.#..##.#.#.....#.##..##.#....#........#...######..###.#..#...##..#.#.#.#..#.....#####.#...####.#.####..#.#.#...##.###.####..####.#.##.#..#.#..#.#..###..#..#..#....#....##..#...#.##..##.#.##.#......#..###.#..###.##..#..###.###.#......#######.#.#.#.##.#.#..##.##.#.....####.#...#.#..#.#..#.###..#..##...###..#.#.#.##.....#.#.#...#..#..###.##.#.#.#.#.###.#..#...##.#.#..#.#.#.#.....#......#..#.#.#.......#..###..##..#..###.#.........#..###....###.#.#..#..###...#.#.#.#.###...##...#..####.##....###..##.#.#....#.##.##.######..##.##...#......#..###.#.###..#.##...#.#...###.....#.###...###..######..##.##.#....##..#.##......###.#.......#..##...###.##.##..####..#..##..###.#.#..##.##..##..#.##.#..#.#.###....###.#...#..#....#.##.###.#..##..#.#.#.######..##.#.####.##.####.#.#####..#####.######..#....##.###.....#.#.#####...#.....####.###.##.#..#########..#..##.##.##......###...###...###.##.#...#.##.##..######....###.###.#.#..#.##.##.....#..#.#.###.#....#.##..######..#...#.#..##.####.##....####.....###......#..#.#...#..#.#.##....#.##.###.###...##.##....####.#.....##..#..##.#.#.##.###..#.#.##.#.#..#...#...####..#.#.##.#.#.#.#.##.##...#....#..##...###.##..###.......#....##.####.###.#......##.#.#.###.##..##.#........##..###.###.....###.###...#.....#####.##..#####..#.###.##
.##...##...##.####.#.#.#.....####...#.#.##..##.###..#..##...#.##...#.....#.######.##..##.#..#.##..#.#.#####....####.#..##.#..###...###..##.#.##..##........#.#.#.#.#.##.....#......#.###....#..##...#.###..#.....#.#.##..#...###.....##..###..###..##.#..#.##...###....#.#.....####..#...#.###..####.#..#.####.#.#.##..#...###.#....#.##.###.#........##..#...###................##...#.###.#...#......###....#.###......###......#...###.#.#...###.###.#..##.....#.#....#..####..###.#.....###..##.####.###.###.###...##..###.####.#..#.#...#.##.#.####.##..########.#..#.##...#####.##...##.#.#.#....#..####...###.#.#..###.#...#.######.#..#.#.####...###.#.#....#.#..#.#...#.##...###...##.#..####..#....####.##...#.##..###.#..##.##########...#..###.##..###....###....#.#......#....#.#.###.#######..#....#.####..#.#.....#...##....#.###..#..######..###....#.....#.#..###..#.#.####..#.##...##.#....#.......##..#.#.##..#.###.##..#.#..#..###.#..##.#..#..##...#.####.#.....#.#.##.##..##..##.#..###....#.#..#.#...#.#..##..#....#.#.##.#.#.........###....####.#....#...######.#####..#....#.#..###....#........###..###.#..#.#..##.#...##.#.##..#...#..##.....##.#..###..###.########.#.##..#####.####..#.#..##..####..#.##.#.##...####..#..##.#....###..#.#.......##..###.##.######..######..#####..################...#...#...#...##.#.###..#####.###.#..#.##.##..#.###...##.#..##.#..#############.#.####.#.##.....####.#...###.#..#.#..#.#.#.#.##......##.#.....#.##...##.####.#...#..#####...#.#.#.#.#.#.....#.#.##....#.###..##.#.#.###.###..#..####.##.....##..##.#.#......#.###.#.####...###.#.#..##.#.#..######..######..#..#####.##...##...#.#...##.#.#.....###....##.#.##.#..#.##.####.#.#.###.##...##.#..#####.#.##.##........####..##.##.#.#..#..#.#####...#.#.##.#.####.####....#...###.#.#####.##.#....##.#.##.#.#....##.#.#..####...####.#..#.#....#...###....###.#..#..#...##.#.#.....#.#...##...#...##.###....##.#.#.#.#...#..###.##.#..#....###.....##.#..#..#.#.###.....#.###....##.#.#...#.###..#......##..#..#...##.###..##.######.#.#...#.....
..##.##.#.###...#.###.#.###..#...#....###....#....##.##..#.#.##...#.##...#.#..#....#..#....##.#...#.#..#####...#.....##.##..#.....#.##.#.####.....###.###.#.......###.###.####.#.##.##.##.###.####..#.#.#..####.##.#...#.#########...##.#.##..##.##..#######.#..#..#.##.##.#.#.##..#...#.#...#.##.###..#....#....#...#.#.......###..##.###.####..#.##....#.###...##.#.....#.#####...##.#.#.....####..#.#.#..#...##.#.#.#.#....##.#...##.#...#..#.#.#.#######..##.####.##.####.##.##.#.#.#.##.####......#.#....###.#.#...#.###.##.##...#.######.#....##.#.##.###.#.#.#.#..####.#..#.#.....#...####..#..##....#.##.....#.##.##.#......#..#########...#....#....##.......#..#...#..##...#..##...###.####..#.#..##.##..............###..######..##..####.#.#......####..###......##.######...###..#..#.#...####..######.......##.##.#...###...####.##.#..#...#..#..#..#..###..#........#.###.##.....###..#.#.###.###.#....#.#.##...######.####.#..#...##.#..#.##.###..##..###.#.#.###..#.....#.#######.###...#..##..#....##.#..######.##..#.#####.##...##.....#.#.###.##.####.##.#.#.####.#.####.##.###....##.....#####..##.#.....#..##.#.##.#..##...#.##.....#....#...#.#.......##....#....#..##..#..#.##.###...#.#..###.#..##.####....##..#.#.##.###...#########.....#.###.##..###...#.###..###.###.####.#.....#####...######....####...####..........#.##.....##.####.###.#.....##..###.#.#...##.#.#..##.###..###.#.#.#.#...#.##....##..#...##..##...#.#.#.....###.#..##.######..####...##..#...##...#..#.##...##.###.##.##.#.#.#..##.#....#.##...#..####..##.#.#...#.....#.#...####.##.###.##..##...###....##......#.###..#..#.##.#....#.#.##.#.#...#.##.....###.........##....#.####..##..#.##..#.#.#.##...##..#.#.........###..#..#........#.#.#.#...####..###.##.#######.#...##.#.#####.#..##..##.#.##...#.#.#.#..###....##...######.#.#..#..##..###.....#..###.###..###....##.#.##..#.####.......#..###..##.##.####..###.###...###..###.###.#....####.#.#..########.##....###....#.#.#..##..#.###..##.######..###...##.#.#.####.##.###.###..#...#########.#..###.#..##....#.
#..#.##.##.####.##.##.####.########.#.###...###..#...##..#....#.##...####.#.#.#.#....#....##.#.###.#.#.......####..#....###.#..#####.##.#####.###.##.##..#.##.....###...#...##..#.#....#..#.....###########.##.....#.##.#..#.#####.#####.....###....##...##.###...#...#####.....#....#.#...#.......#.#..#####..###.######.#.######...#..####.#....#..#..#...#...###.#..####...#...####.#.##..#..#.##...####.##...#.#...#....#..#.##..##.#.#.#####..###.###..##.#.####...#..#.##.###.....##...#...#.##.###.##.###.#..#.#.#.#..##.#..#.#..#.#.....##.#..#.##.##....##..#..##.##.###..##..##.....#.##..#..###.##.##.#..#####..#.#......#.#.##.#.#.###.#.#.....##.....#.#..#.##..#.#######..##.#.#.#...####..#.##....###.##.#.....##....#....#...##.#..#.#...#.##.#.##.#..##.#.####...#.#..#....#...#..##.##.####....##...#.##..#..###.#.#.#.#.####....#.#...#..##....#####...####.##.##.##...#....#...##.##.#...#.#...###..#.#..##.#...##..#...#..#.##.#.#.###....##..###...##.##.###.#..#..#...#.#..#.##..#.....#####...##.#.##.#..####...#.####.##...###.##.#.#..#.......#...#.##..#.#..#...###......#####.#.###.#..##.##.##..#...#.#.##.#..###.#####.#...#.#.##.##....##.###..#.######..##.##.#....#####..##..##.#..#..#.#.###.#..##..###..#..##...###.#####...#...###....#..#...#.#.#..#.....####.#.###.#.........#.#...#.#.#.#..#.##..#.......#.###...##.#####.####..###.#.#######...####.#.######..#....#.##.##.#.........##.#.#####..####..##.#...##......##..##.####.#..#.#....###..##.#..#..#...##.#.##..######..####.#...#.....#..##..#....#........##.##.###.###....###.###.##..#.#....#.######...#.##.###......##..##.###...######.#....###.....#.#..#.##.##.#.####.###.###..##.##.###########.#...###.##..#..#....#.....##..#####.#.#.#..###.....#..#.###.....##..##..###.............#.#..#....#.#....#.###.#.#.###..#.##.##.#...##...###.....###.#..#.#.##..#.#####....#..#..########..#..#####...#.##.#.###...#...##.#....#######..#.##.....##...####.######.#..##.#####...#.#.###.....#######..####..###.##.##...#...##.##.#.#.##..###..#####..#.#....#.####......
##.##.#.#...####.##....##.#.#.##..#..######.###.#.#....#.##.#.##......###.##..#.##...#..#.#..##.##..#.#.######.#####...#...##.#..#.#....#.###...#.#..##.#..##..#..#.##.#..##.##.#...####.....#.##....##.#.#####.#..#.#...#.#...##.##..#.#.#.#.###...#.##..##..###.#.####.##.....#.###..#.....#..##..###..##.##.####.....###.#..#..##.#.###.#...##....#.#.##..#....##..##..#.#.##...##..#..#...#.##...####.#.#..##..##.#.####..##....#.###..#..#..##.#.###.###.##.#.##..##...###..###....###.####..#.##...###.#.#.#####..#.....#..##.#..###.#...###.#..#..#..####..##.#..#####..###.##.#..#..#.##..#.#####.####.##.#.###.#..##...#..#.##..#.......#..##.#.##..####..#..#.##.....##.....#..####.####.###.....#..#####.#.#.#.#...#.####.#..##..#.....#..##.#..#...#.###.#..#...#.#.....##.....##.##.#......#...#.#.#.####..##..##.#.####.###...####.##...#.#.##..#.#.##..##..##...##..######.###.##......##..##.#..#.##..#.#.###########..#...###.#.##.##.####.###...#.##.#.#.#.###.#...##.##.###..#.##.#.......##..#####.##..#..#.....#.#...###...##.###.#...##.#..##.#..#.##.#..#.#.######.###.##.#.#..#...#..#####......######.###...#.#..##.#.##..#.##..####...###....#...#.#.....#.#.##...##...#.#.#.##.....#....##.##.#..##...#..#.##..###..##..#..##..##.#.###.#...###...........###.####....##...##..#..##.#..##.##.##...#####....#.##.###.#.##.###.###..##..####.#.###..........#...###...##.#....####....#.#.#..#...#.....###....##..###..#.###....##...##.#####.....#..#.##.#..###.###.#.#..###..#.#####...####.##.###......#.####.......####..##.####.###......####....#.#.#..###..#...#.#####.#####..###.#.##....#####.###.##......#..##.#.#...#..###..#..#...####.##.####.##.#.#...#.##..##..###.##..#.#..##.####...###...##.#.######....##..#.#.###...###...#..#...##..#..#.#..####.####...#....#.#.###.#####...#....###..###.....#.##...#.#...###.#..#.#.###......#.......#....#.###.##.#....###...####.#..#...#..#..#...##..#...#.####.##...##...#.#.#.....#.#.##...##...#.#...#...............##....#..####.##.#.##....#.#.###.#..####.#####..###..##....#..#....
.#..#.....#.#..#####..##.#####.##.#.###...#...#####..#.....##.#.#..###..#..##..#.##.....#..##....#....#..#.....#.##..######..#..#.......#..##.##.#.#.###.##.#.#..##...##..##..##.#.##.##....##....########...##.#....##.#.#.#.#...#.#.##..###..###.###.#....#..#..##.##.#.##.....#.##.##...#.#.#..#########....#.###...####...#.....#...####..##....##....#####.#.#..###..#....###.##.#.....##...##.#.#.#...#.#.###.##..###..#...#.#...#.##...###.####......#......##..##.###...#..#####........##....####..#.#.....#######.##..##...###..#...#.###..###..###.##.#..#####.#######.##..#..##...#.#.#..##.#######.#...##..#.##.##.#..####.#.#.#....#.##......#.#.###..#.##....##########.#..#..#..#..#..#.#....###..##.#.###..#.##...#.#####.##...#..##..###....#.#.##.##..#.###..#.##.#.##.#.####..#..##..###.##.##..#######..#.#..#.#.##.#.##..######.###.###.###....####..#....#.##.##...#.#.###.#.##.##....##....#.##.####..#.####....#######.#.###...#.#######..###...#..#..########.###.##..#.#..##.#..#..###.#....#....#..#..#.##..#.##......###..#.#.####.#....##.#...#.##.##.##.#.##.###.##..#...#.##.##..#.#.##...#..#####.##..#..##..#..#...#.....##.#...###.#.#..##..#.#######.#....###.#..#.##.#.#..#.#..##.#....##.#....###....#.#.######..###.#.##...#######...........###...##.#...#.#....#####.#..###.#.#..#..#.#...#..#...#.#..#.#.######.##.##...###.##.....##..##.#...###.#####.#.##.##.#.....##.#.##...#....##..#.###....##..#.....#.#.##..#.#.###.##..#..#.#..#.#.#.###.#.##...####....#..#####.#.###....##.###.##...#.#...#...###.#....#.####.#....#.#######..#.....#.#..#.###.##....#.#.#..#.###.#...####....###..#.#.#...#.#.##.#.##.####..#.#.....#......#..#.###..#.##.####..####...###.###.##.#.###.##.#.#######.##..#.....##.##.#..##..#.##.###.###...#.#.###.##.#.#########....#.#...######..####.....#.##..###.##..#.#.######..##..##.##..####....#####...#....#####.#.#.#####.....###...##.#..##.###.#..#....#.#.##.#..#.##.#..##..###.#....#.##..#..###.##.....#....#.########..########.#.##.####..##.#.###..#.........###..##.######.##.#..####
..##.#.##.#.##.#..#.#..#####.###.##.....##.##.#.#.#.#.##.#.#.##..###.####.....##.#........#...###..#..##..#..##......#..#..#.##.#####.#.#.#...#..#.#........#...###.#.##.#....###.##.#......####.#.#...##.#..#.#.#..#.#..#####.#...#.###.#.#.#.#####..####.####..#.###.#.#...#.##.....####.##..##...#....##....#.#...###.##........####.#.####...##.#.#..###.#..###.####..####......#..##..#.#.....##.##....#.##.#.#.#.##.#....###...#.##.##...#.####...###.######..##..#..#......#.###.#..###.##...........####.#........####.#######...#.##....#.#.#....#..#.#...#..#..#.##.#...#.###....#..#....#.#.##.....####..#...#...#..#..##........##..##..###..##..#.#...#...####..#..#...#.#.###....#....###..####..##.#.#.....#.##.#....##......#.##..#..#.##.#....###.#..###.#####..#.#.#...##.#.#.###..#...##.##..#.#.##.#....#.#.####...#.####..#..##..##.###..#.##....#..#...##...###..##.#..######.#.####.....#.####.##..#...#..##..##.#.#.##....#####..###.#..#.#.##....#.#...#####.#..#####..#.#.##.#.####..#.##.#..##.##....#.##...#.......###...##......##.#...##.#..##.#...#....####.##..##.#.##..##.##...###.####.###########.#.##.#....#....#..##..##..#.##.##.....#.#.#..##.#...#..#.##..###.###...##..#.#.#####..#.##.###....##.#.#..#######..#.###...###.##....####...#.###..##..###.#....##.#.#....##...#.###....#.....#...##......#..######.#.#..##..#.##...##...#.#.##.#..#.#.##.##.##.#.#..#...##.##..#.#.###..#....#.#..#.#.##.....#####.#...#...#..#######...##.###.#....#...###.##..###..###.###..#.##.##.#.###....####.#....#####.###.####.###.##.#####..#...###..##..#.....#####...#..##.#...#.#..####.......#...#.##.#..#..##....##.###....###....#...#####.#..###.#...#.##.....#.....##.#..#..##..#...#.#.#...#...#..#...#.#####.##.##.....###.##.###....#....###.#.###.#.#.#............#..#.#..#.##.#....#.##.......#..#..##.##...###.##...##.#.###.#..######..#.######..#.###..######..#........##.###..##..#.......##.#.#..#.#.#.#.##...##...#...##.#..#.....#.....###...#.#...#.##.#.#..#..####.#.#####.##....#.##.#.#..#...###.##...#...##.##..###..
#...#......#.#..####....#..#.#.........#.#.####..###.##...##.#...#..#####..#.##.###..#####..##.#.##.###......#.#..#.#.#.####.#.#.#.......#.#.#...#.#.#..####.#...#.#...#.#...#..##...#.....##.....#.##.#....#...#..#...##...###..#....#.#.##......###.#..#.......#######.#.#.####..#.##..####..#..#..#.##.#.########..#.#.###.#.###.#..#.##...##..#...#.###.....#.##.#.....#.##..######...##...#..#.##.#####..#.#...####.###.##.#....###.#.##...#####..#..###..#..####..##.....##..#.#.##.###..#..##.#.#...#.#.##.#.####.#.....##..##.#.########...##..#..###.##..#..##...#.....#.#.#.#.#...#.###.#.#....#...##..#.###..###.##..##.#...#.#..#####.#.#.#...###.#.#....###...#.#.#.#.#.#.#...##...#.#.##.##...##...#..#.##..#.#.#.#...##..#.##..#...###...#.###...######.#......#...#..###....######...#######..####.#..#.##.###.#..#.#....####.#..#.#..#..#..#.##....#...##.###..##...###.#.##.#.#....#.#...#.#...#......####..#.#.#..##..#..#####.#....##########.##..#.###.##.#####.....#.###...##....#.####.#.#####...###.....#.##...#####.##.#...#####.#..######....#..##.#...###.#.....#....#.#...#..##.#.#.#.#.#.#.####.###.........#.#...###.#######..#....#.#.####.###...##.#.#..######.##...#..##.####.#.....####.#.##.#.##.#.##.####.##.#......##.####..#..###.#####.####..##.#.####.#..#..##....#.###...##.###..#####..#.##..#.#.##..###.####.##.....#.####.#.#..#.###..##..#.###..##...#.#####.................###.####.####.###.##....#.#...#..##....#..##.##..###.#..##.#.##..##....#.....#.#.#.##.#...######..#.#..##.####.....#.#.#.#...##......#.........#######.###....#......##...###........##.#..##.#..#.#...##.##..###.#.##.#.########...#.....####.######...#.###..##.#########.###.....#....#...###...#..###.###.##.#..#..#.##...#.#.#######....#...###.##.#.#.##...#..###..#...##.#####..#.#.#.##..##..#..##..##.....#.#..#...###.####...#.###.##..#####..#.###.....#.....##...##....#.#..#..#......##.##.....###...#...#.#..###.###....#..##.##.#..#.#####.#.#.##..##.#..###.####.#..#.#.#....##.#######...##..###..#..##...##...#####....###..####.##.
#.#.#...##.#.##.#.###.##..#.#....##.##..#.#...#.#.......##..##..#.#..##...##..###.###..#.#.#.#.#..#.#.#.##.#..##..#..###.#.###.#..##...##..##..####...#.####.##.###.#...#.##.###...#.#.#.###..#....#.#.##..##...##.#.##..#..#.......####.#.##..###.####.#####......###..##...##.####.##...###.##.#...#####.#....##...#.....#..#.####.##..#..#..##...##.###...#...###.#.###.###.#........#...####..#.#.#.##....#.###.####.#.#.......#.##.#...#..#.###..##.######.#...####........#....##..#..##..#.#...##.#.####.#.#.###.###..##..#..####..##...#####.##..##.#......##..##.##.#.......####..##.#..#...##.#.....#.#...#....#...##.####..#..#....##.##..###..####.###...#..####...####..##....###.#.#.##..#...#...###.##.#.##..#..#..##...#..###..#.#..#.###.#.##....##...#....##.##..#..#.#..#.##.#.##########.##.##...#....#.##.#...###..#..#...##.#.###.#...###.##...#.##.##.#.#####.....##.##.#.#.##.###..###.####.#.#.#..###.#..#..#.#.###.##.######...##.#......#.#..#...#..#...#...########..##.#.##.#.#.#.##.#...##.#...###..#.####...####....###....##.##.##.....#..#.#.#.######.#..##...###..##.#..##....#.#.####.#.#.#..###..##..#..##.#.#.###...##.#.###..#.##..#..#.#..##...##..###.#...###..###...........##..####..#..#.##..###..###.#####.##.##.##.##.###....##.##.#.##.##.###.#.##...#..#..#####.#.##.#.#.....#.#####......#....##...#.#.###..###...#..#....###.#####.....#.......#.#.###.##.#####....#..#.##...##.#.##..#.#..##...#.#.#...##.#..##...########...#...#....##.#.....#.....#...##.##..#..#.###########..##...###.##..#.#...#####...#.#.#..###.#....#.###.#.#..#.##.##.....####.##.####..#...#......###.##.####.#.#.###.#####.#..#.###....##...####.#..##...###....#.######.###....#.#..######....#.#...#...#####.##########.###.###.#.#.###.......#####.#.#.#.#####..#.###.#....###...#.#...#..#..#.###.#.####.###.#..##.#.#...#..#.##.##.###.#.#...#.#...##..#.#.##.#.....##..##.####.#.#.#.##.#.#.#.#.#.#.###...##...#.#.#.....#..#.###.####.#.#..##..#.###....#.#..###..#.#..##.##..###.#.##..####..#...#....#..###.##.##.###.#..##..#.#.#..##...
..##..###..#....##.##....#####.#..###.##.#.....#.#....#..###.##.#.###.###..##.##.#.#..#.....#.#.####..####..##.#...####.##..######.#.#.####.###..#.#.##.....#.###..#.###.#.#.#..######.#.###...#..#...#..#.##..#.###.##.....#.####..#.#...#.#.#...#...#.##.##.##.#.###.#..#.#..#####.#.###.#.#.##..#.####.#...##..##...##..####.#.#..#..#.###.##.###..#...##...#.##.##..###..##.###....##..#.##.##.######..#..#.###.#######.#.....#..##.#..#...###.#.#.###.......##.#...####.#.#..##..#.#.####.#..#..#.#.#..#..#.#.#..#...##.#...####.#..###.##..#..#.##.#.#.#.#.#.#..##...######...#..#.##.#.##.####..###..##..#..###.###..#...##.#.#.##..#.###.#.##.#..#.###..#.#####..#..#####.##..#.##..##........#.##....#..#.......##..#...##...#.######.#.####.....##....###...##..#.....#...###...#...##.#.##.###############.....###...#....#.#..#...#####.#.#..###.#.#.##.##..#.#....#.###..#..#.#.#...###...###.#######..#......#.####....#.#....###.#...#.#.#..#..#.....#.##.#.#..#.#...####.####....#####.#.####..####.###.##...##..#......##.##.####.#.###..##......##.#####..##..##....##..#.####..##..#.#..##...#.#.##.###...#.#...#####..####.#.##.....#.#.......#.#..#..#..#.....#...##.#.###...#.#####.##.........######..#....#.#.##.#.#....#.###..##..##.#...###..#...######...###.###.#.....#....##...#####.#.#.###.##.####.#.##......#######.....#.#.#.#...#..#.#.....#....####.###.#####.##..#...###.#######.#.####...#.##.#.#....##...#.#####.......#..#.###.##....###..#.#..#..#..#.#..###........#....###.#...##.###.#######...#..##.##.####...##.#.#.###...##..###......#..#.####.###...#.#...#...#.####..##..##.#.....##...##.....#.##..#..###...######.#.#...##.##...##.#.#.#..#....##...#.#..##.#.##....##.##..###..#...#...###.#.#....###.##..#####.##.##.#.#.##.#....#..#..#.#..##.#.###..##..#.####.##....#########.#.#.#.#.#...##.#.##..##.#..##...#..###...##..#.#..#.##.#...###.#..##..#...##..#.#.###.#....#...#...#.###.##.####.#.##..#...#..#.....##.###.#.#######..####.##..#.#.#####...##...###.##.#..##..#####.###.##.####..#######...###.####..###.#
.####.#.#....##.##...##....#...#.#.#.##..#...##...#.....#..##..#.###....#.##.#####.##.##.#.#.#.##.##.#.##...#......#......#..#...##.#.#.#.#...........########.#...####.#####..#.#.#.###...##..##..#..#..#.#####...#.#...#.##....#.##.##.....#.#.#.#.....######.###.#...##.#...###.#.....#....##.##....##.#######.#..#..####.##.#..#..#...####.######...#.###...#..##.......##.#.#..##.###...#..#....###.##..#.#.###..#.#.#######..#...###..#.#.#####...#....##..#.#.##.##.#......####.#..##..###..#.#...#..###.#.##...###.....###..#...###.#.##....####.#.#####..#.##..#.#......###.#.#..####.#######...#.####..###.#.##...#.........#...##.#.....###.#...#....#.######...#.#####...#####.#####....#.#..#...#.#.......#...###.####.#..###.##.#.....#.####...#.#####..#####....##...##..##...#.##.#.#..#.##.##..#..##.######.#..#.##..#........##.#.###..##.....#...#.####..#..#..###....#.###...###.#..######.#.##..###########..#.###.....#..####...##..##.##.#####.#...##.###.#....###..#..#..##..##.#...#...###.##.#..#######.#...#..###.####..###.#.##.......#.....##..#.##.####.#.##.##.##...#.###...###.#####..##..#...#....##########..####...#.#.#.##.#.###.###.#.#...##.#.#..########.##..##...#.##.###.###...####.#...#.##..#..#......##..#...#..##...#.#..#....###..#....#....##..#.##.##...##.....#.#.#.##..#..#.#...####.#.#...#.#....##..#..#....#.#.###...#.....##.....#.##.#.#..###..#...#.#.##...###..#...#...###.##.###.##.##..#....##..##..#.##.#.......#.###...#.##.#.#..##..#.##...#.#####.###..##.##..#.###.#..##.##.#.#.##.####.#.#.###..#.###.#####..##..###.##.#..##.#.###..#.#...##.#.#.##..##.##.####.##..##.###.####.#.##.#..#.#.##...##..#......##.####.#.##..####....###..#####.#.#..###..###.##.....##.##.#.###..#..##.###.#...##..######..##..##.....#..##.#.##...#.###.##..#..#..#.#.#..##.####.#..#.#.###.####...#..###..####....#...###.##.#.##.#.#####.###.#...##.##.###.###.#.######..####.#######...##.##..##.##....##..##.#..#.#.##..#..###....####...###..#..###..##.#..####.#.###.####.#####.##.#...##.##....#....##.#.#.#.#.#..#.#...
.#...#.#.#.##..###.##....###....##.#..###..###...###..##.#.#..#..#.##...####.###..#.#.#########...##...#..###....#..##..####.####......###.#.##..#..##.#....#.###..#.####.#.###.##.#..####.####.#.#.#....###..####.#..####..#.##...#.##.#.#..#.#.##..#..###.#.##.#.##..##.##.#.#.##...#....#..##..#.###.#.##.#.#..###....###....#.#.#####..###.#..#.#....#....###.#.#...##.###...#.##.#..##.....##..##..#.##.####...#..####..##..###.####.....##...#..####..#.#.#...##..##....####.###.###...##..##..##.###.#...#...#..#.##..#.#.###..##..#.#.##.##...##.#.#.....##.#######.##..###..##.#....###.#.#.#......#.#.##....##.##....#..##.#.##.#..#..#.........#.###..#.####...##..##..#.#.#.##..#.#####..####...######..###.#...#....####.##.#.#.#.##..#.###.#...###....#.#.......##..###..#######.##.##.###..#....#.#.####...#...#.#........#..##...#....#..##.###....#.###.#..##.#.#####.#..##..#.####..#..#..#.......#..###..###.#....#.#....#.##.###....#..##..#####..####.###...##.##.#..#.#.#...###.###..#...####.##.#.#.#.######......####.##..##...#......##.....#.#....###...#..#..##..#..#..#.#..#.#.#####......##....######..#...###..#..#.....#....####..#.######..##.#.#.#..#..#.#.#..#.#####.#.#.#.#...###......##.#####.#....#.####.##.##.###...###.##.##.#..####...##.##.#.#..#..#####..###..###...##.##.#.######...##..#####.....#..##..##.##.###.##..#.##..#.###.#.#...###.........#...#...##...#####.#.#.#.####.####.#....##...#.##.##...#.#.##..#....#..#.#..##..###.###..####.#.#...#.##.#..#...#.....##...##.########....##...#.##.##.......#####...###.#.###...###.#.#######.#.#####..#..#.##....#####.#######.#####.#..##.##......###..#.##...##...###..#...#..##.#.##.#.#..##..####..#.#..#..###........#..#####.##.##.###.#.####.#...###..#####..#.##.#.#.##..##....##.....#.#....#..##...#.#...#....###...###..#...#.######...#.#.#.####..##..#.####..##..#.#..###..#.##.#####.#....###.#.###.....#..##.###.#.#####..##.####.#....#.####.#.#.####..####.......##.....#..####..###..#.###....##...#.#.####.#...#.###.#.###...#...#.######.##.#..#.#..#.#.#
..#.......##.##.#....#.##.#..#.#.#....#..#.#..##...####...#########..#..###.#....#..#...#.#.#.####..#.##..............##...##.##...#..#.##.##..##.###..####.....#.#...##.#.#..#..#...##.#.#..#.###.#####.####...##..#.....#...#.#.#.#....#..........#####..#..#.##..#.####...#..###.#.#..#.#####.#.##...##.#.....#.#####.#..###.#..#.#...##..##.#.##.#.###.########.##.#...##.###.##..##...#.#.#..#......#..####.###..........#..##..####..#.##...##..#....##..##..###.##.#.#.##..#.#...##.....##.#.#..#.###.#...#.#.#....##.##..#...#..#.###..#####.#..##..##.#.###....#..#.###.####.#.###.######..####...##...##...#.##.##.....###....#..#.###.#..#.##.#....#...#####........#.##.....###.#.#####...#.###....####...#....##..#.####.##.##.#...#########.....####.......#..##...#.#.##.##.###...#....#####..##..#..#..##..#.#...###......####.####...####.....####..##..#.###.#.....###...#....#..#...#.##.##.....###.#.####.##.#...##..#..##..####...#.###..####..##..##..##.#.#..##.......###..#.###..#.#.#..#.###.###...###...#.#..##...#..#......########..##.##...#.###..#...###.......##.#..##.######.............#...##.#######..##.###.####...##.#..####.#####...###...##..##.....#...#...#..##.#.#....#.....####.#....###.#####.....#....##..#..#.##...#.##.#..#.##.....#.....#....###...##...##...#.#.#..####.##....##.#...###..#.#...#..#...#......##....#.#...###..#.#.##..##...####....##.#...##..###...#.#..#...#..#.#####..##..#.....#.#..#####....#.#..#..#.#.#.##.###..##...#.....##.....#..#..#.###.#...#..####...####.##..#...##..#...##...#.#.####..###...#..########..##...#####.######.#.#.####....#..#.#...#.##....##..#####.....###..####.#.######.##.###.######..#.....#.#...#.#...#...######.##.#.########.##.##.###..##..#.###....#.###.#.#...#.#..####...##...#..#.#.###.#...##..#..###.#.##.###.###.....#.###.#....##..#...#.####..###....#....##..##.#..##..#.#...#####.###....###.#..#.#.#...###.##.###...###....##.###.#.#..####..#..##...#..#.....###.####.####.#.##.##.####....###.#..########..#..#.#.#...##.##.....#.##.#.#..#.#.#...##...#
##..#..##..####.###..#....#.#..#.#..##.#.##.....#.....##.#.#..##.#.#.#...#####.##.##..#.#..#...##.##....#.##.#.##.##...#.#.#..#..##.##..#.#.#..#......#.##.#.###.#....#..#..#######.#.####.#......#####.....#.#.#...##..#....#....##...#.........##...###...####....###.#.....##.#.####.#########.......#.##....####......#..#.##..###.###.##.#...##.....####.####.#...#..##..####.#...##.#.#....#.#.###.#....###.###..##.#..##....#..##..#.##.#.#.#.##..##.###.....#..#.#.........###.#####.#.##.##.#.##.....#......#.#.##....#....####...##...##.######....##.##.#.########.#..#.#.#...###.#.##.######...#.....#...#.#.#.#..#..####...#.####..#......#.#.#...##..##...#####.#####.#.##..##.###...####.###........#.####.##.#...#..####.###..###....#......###.#.#.#######..##.###.#.#...####.###..#........##.#.#..#.....##.#.##...##.#.##..###..#.#...##....###.###.....####...##..#..##..#.#...##.#..##..###..#...##..####....##..#...#...##.#..######.###.......#.####.#...#...#.#.###.#...##....##...#####...#########.######.####.......#...###..#....##...##.#.#..##..##......#.###.#.#.#..#.#.#..######...#..####....#.....##...#....#.##.####..#.#.##.##...#########....#.#.#####.#...##.##...#..###....#......#.#..####..#..#.#.#...##..#####.##...#......#..#.#.##...#.##.###.#.##.###.###.#######.##..##.......##...####.###.#.####.##....##.####.##..#...#..##..#...#.#...##....###.#..#.##....#.#.######.#.#####..###..#...#####..#.#.######.##..#.####.#..#....#...#.#..#####....##..###.#.##....##.########..##.##..#..####.#...#####....##.#.###.#####...#.#.#.###..####..##.#.#.###.##.#.###......####.########.##.###..##....#...#...#..##.##....##...#.#.##..#..#.##.#.#..###.#.#...####.##.##..#.....######.#..#....#.##....###.#.##.####.##..####.##.#.#..#.####.##.#.#.#..###.##....####..##....###.###...###.#..##..##.##.#.######.#...##.##.#..###..#....#...#..##.#....##.##.##.#.###..##.##..#.##..#.###...#.#.#.#..#.###..##.###..#..##..#.#.###.#.#.......#.#.#.#.#.#####...##..#....#.###.#..##....#.#....##.#.#..#######.#.##..##.##.##..##...##
##...#.##..#.#.###..#######.#...#...#.#..###.###.#####.#....####..###.##..#.#####...#.#.#..#......##.##..#..#........#..#...##.#.#.##..##.#..##..#.#.##...#.##..#...#....##..#..##...####..###.#..#.#...###......#.###.##..#...##.##..#.....###.###...####.#######...###...#..#.##.##..######.....#######..##.##..####.##..#.#...#..##...##..####.##.#.##....#.##.#..###.#......##.#..#.####..####.#...#..........##..#.#..#...#..#.#.#######..##.##..#####...####.####..###.#.##.###...##...#.#####....#...##.#.#.#.#####.##.##..#..#....######...#.#.#..#...###..........######...#.##...#####.#...####.###.#...#...#..#..###.#.###.###.#.########.#.##.###.#.####..##.##..##......##.#.##....##.###..#.##.#.#....#.#.#....#.###.####.######....#.##.#...##.##..#.##.###...##.#....#...#..######....##.##.#.##..#.#.#.##########.#....#.###......#..##.#.....###.#.#.####...###..###....######..#....#..#.####.#.##..#####.######..##.#.#....#.#.###.###.#.#.####......#..#.##...##.#####.###...##..#.######...#..#.##.##.####...#.##...###..#.#######..#...#...#.##.#.#...#..#.....####...#######.....#..#####.#########..#...####.####.#.#.##....#........##..###.#.#..###..########..#....#.####..##.......#..#.##..#...#.#...######....#.#.#..####.#####..##..#####.##.#.#.#..#..#.....#..###.#..##.###.###.#..##....#...#..#..####......#....###..#...##.##.#...#......####...#....##..##..#####.###..##.#.#####.#####.##....##...#.###..##.##...##.##......#...##.....#...#.###.###..#.#...#.....###...#...#..#.#.#...#.####...#.#.#...###....#.##....#...#####.#..##..##...##..#.##...#.###.##..#.......####...#.##...#...#.#...##...#.....#.##.#..####...#.###.....#######.##.......#####.##.#..#.###.#.#.....#..###.##..#....#.....#....###.#.###....##..#.#.###.#..##..#.#...####..........#..#.....#.##.#....####.#.##.#.#.#.#.#..#..#.##..###.#...##..####..###.####.##.###.#....###.#..#.#.###.#.##.####.####.#..###.#...#...#..#..#..##..#..#..#..##.##.##....###...#..##..##...#.####.#.##.#.#.##.....#..#.##..#######...#...##.####..#...###.###.#..#####.#..#
.##..##....#.####.###.###.#..#..##..##.#....#.....#.##.#####.#....##..##.##.#.....#.##...#.#....##.#.#####.###..#.##.#...##..###.####.##.##..#..#.###.##..######...#.######..#.##.#.###...#.#..#.##.#.###.#.#####...#.#...#.##.#.####..####......#..##..#####..#..#.######.##.#.##...#..#.#.###########...#..####..####.####...#..####.##.#.####.#..##...###.#.##....#....###...#.#..##.###.#######.###.#.#.#.#..##..##.#...#......#.##.###..##..##.####..###..##.##.#.#..#....#.#.###.#.####.#...#.#.#.#.##..##.##....#.#..##...##...##..#...##.##..#.#....#.##.#.#.#.###..##..#..#...#.#......########.#.##.#......###..###.###..##..#####...#.###...##.###.#.......##...#.##.#####.#...#####.#..####.##......##.#...##....##..##.###..#.#..##.#.#....#.#.#..#.###.#.##.##.#..##...#.......#####.#..#.#.##..##.##.##...##########.###..##.#..##....#.#.####.#.##..###.#.#.####.##.#.##.##.###.#####.##.#......#..###.#.#.#.#########.#..#..#.......##..#..#.##...#..#.##.#.##.#.....##.###.#######.#..#.###....#...###..#.#####..#...##..###.....#...###....##.######.###.##.##..##.#....#.#....#.#.#..#.#.#..#####.#...#..#.##....#.#..##...#.#.##.....##......#..##....##.#.#.##...####.##.#.....#....#..##.#....#.#..##...##..##.##..###..#.##.##.#.#.###.##.##.#.########.....#.#.##.##.###......#..#.#..#..##.##.#....#..###..#....#..#..#....#.####.#.#.#.##.#.#.#####.###.#..##...#.#..###.###....#..#.##..#.##.#.###.###.#.#..#...##.##..#...#.#.#..##..#.#.###..##...#...#.###.#########.####..###.#.##.#.#.#.#.#..#...###.###....#######.#..##.#.##.##..#.##....#####...###...####.#..###.#.##..###..#..###..##.#.###.#....#.##.#...###.#.####...###..#####...#.#.##.....##..#.##...#.##.#.##..###.#..#.#..##.#..###.##.###..##.##.#.#.#.#..#..##.###.#.#.#..#....#.#..##.#...#..#..#..#######..##.#.##..#...##.#.##..#..###.........##....#..###.####.....##...#.#.###.#...###..#.####......#..#.##.#.#.###.##.#.##.#.###..#..#.##.#....###...#.#.#......###...#.####..##...#..#.#....#..#.##.#.#..#.###.##.##.......##...##...#####...#..##.##.#.#...#.#.#####.#.#
###.#####.#.#.###.###..####.####....#.##..###.#.#...##.#.#.#..###.#.##..#.....#.#...#..###.####..#..#..##...#.....##.##..#..##..##..####...##.#..##..#.#.##.###..#####...##.##.#.###.##..###.#.#..##.###..#..#.#.......#...##...#..######.#.#..########...#..#.###.#..##.#.....#..#...##.##..#....#.###..####...###..##..##..#.####.####.#..##..##.##..#..#...##.###...#....#...##.##.#.#####.#..#..#..#......##.####..##....#.##.##..#.#.#.#.#....#.#..###..#..#.###.#..#.###.#.#..#..#..#.##..##.#.#.#....#.#.##.##....#.#.###.##.#..####.##.#######....###.#.##########..##.##.#...#.#...#..#.#####..#.#.####...#.####...###...#.##.........#.#..#...#.#..#..##....#####..#.##..#..####....##.#.##.#####.#...#.#.#.###....#####.##..###..#.#.#....#..#####.#...#...#.#.#...##..####.#.#..##..###.##.##...#...###..#.#.##.#.#...##...#..#...#..####.###.###.####.##..##.######.....###.#..###..###.#######..##..#.#.##.#.####.##.#.##...#...#.#......#.###.#..####.###..####..#...########...##..##..###.#....#...###.####......#.##....#...##....####.###..#..#.....#.##.#..#.##.#.#.#.##.#.#.......#.........##.#....##.#.#..#..#.##...#.#.#.#...#####..##..######.#......###.#.##.#..#..#####..#..#.#..#..##.##.#.##.#####.#.#####..#####.......#..#..##..#.#.#.....##.###.#.#######.#####.##...##....#.####..###....##.#.#..####....#..#...#.#.#.##..##.....###...##.###...#..#.##..#.####.#...#.##.#.#.##.###.#..####.....###..#.#...#...##..#..#...#..#.#...###.#...#..###...#.#......##...##.####.#.#...#.##....#..###.#...##.####.##.#.######...#....#....#......###..........######.###.....###....#####.#..#.#..###.#...###.###..#####.#....##########...#.....###.##......##.#####.#.##..#.#.#..#.#.......#....#.#.#.#....##...##..#..#####.#..#.#.#....#..###..#.##......#..#...#...#..#..#.####.#.##..#.........###.##.##.#..#....#...####..#.#.##.......#...#####....###.###.##......####.#.#.#.#..#.#.#..#...#...#....#..##..#...###.#######...#.####.##..#.###........#..##.#.##...###..#####.#.#...##....###...##.#.#.##......####......##....####...####..#.
#....#####.......###....#.####.#....#.#..#.##.#...#.#..#.#.#..###.##..##..#..##.#.#.###.###..#######...#.##..#.#.#.####.##..#.#.#.........#..##...##.##.#.###.#.###..###....##..#.#...#...#....#.###.....##.#....#...#..#.###.##..###..#.#...##.....#.#..#.#######.....#.#.#..#####.......#.####..#...##...#...###.#.##.#.....#..#.##.##...##.#..#.##..##.#.#.###.##.#.#..######.##.#####..##.#.....##.##.##...##.##.##........####..#.##.#..##.#####.......##.##........#.###..##........####.##.#...#.#.#..#..##.#.#...##......###...#.##..####.###......###...##.#####...###.#.#.#.##.##..######....##..#######..######....#.......#...##..##.####...#....#.....####.#.#.###.#.##.###..#.##..#.##....####.#..##..#.####.#....#...####..#..##.#..#.##..#.####..####.###.##..#.##.....#...####.#####.####..#..#.#.###.#.#####..#......#..#.#..#.##.##..###...###.#.###.#..#...###.#.##.#.#.##...#..######.#..#.#.....#.......##.#.##...###.#####.#.###...#.#.#.....##.##..#..##........#.#...##.#..#.##...#.#....###....##.###.....#.#####.###.##.##..#.#.##...#...##..#.#.##....#...#####.##.#...#.##...###...#...##########.#.#..##..##.....##.#####.......#.#..##..##...##...##.##.....#.#...#.#....#.##.###.#.##.##..##########.......##.####..######.####.#.#.######.#...##...###.#.########.####.##..#..#...#..##....##...#.##.###.##.#..#..##.###.##.####...####..#.###.#..#..#####.###.#.#..#.#..####.#.###...#.#..##.##.#......#.#.#.##.###.####.##.....###...#..###..#...##..#.##.##...........#....#..#...##......#####..#.##....#.###.....##.#..##.#.##.##..#.###.#.#.........#.##....#....#.#......#..##.#....##.#.#....#.####.#...##.#.#.#..#..##.##....##..#.#..#..#.####.....##..##...#..#####...#.#.####...#####....###.###.#.#.###..##.###.#..#..#.#.##.###.#....##..##..#..#.##.#########.##..####.###..#...###.#.#.###...#..#....#.###.#..###.#####...#######......#.###..#.###.#.#####.#####.##.#..###.##.....#..##########...#####.##..#.#...####.#.##...#..#...#.####.#.##..##.###.########..##.#.#.##.#..##...##....###.##.#.###....#.###.#.#..##.....#
#..##.##.###.#.#..#.########.##.##..#.###...##.#..#....#...#..#........#.#.####...#.#####..#####..#..####.##.##..######.#.#..#.##..#...#....#....#..##..#.##..#.####.###.#.#..#..#....#..####.#...#.######..##.####..#....#.#.##...###..#####.#..........##......##.##.#.#.###..##.#.###.####.#..##..###....##.##..#..#.#..#....#.#.##.######.#...#.#...##.#.##.#...##..##.#.###..#...####.##.##.####.#.###..#.#..##..#..#.#...##.#..##.#.##..#.#..###..###.#####.###.##.#.....##.######..####.##...#.##.#.##..##...####.##..##....###....##..###.##.#..#...#..#.##.#..#.#.#....#.###.......####.##..##..##..#.###..##.#...##.#####.#.#.###.#......#..##......###..#.#..##.##......#.##..#..#..#.....##..##..##.#####..#...#...#..##.##.#.....###...#####..#....##..#..#..#.##.....##..#####.#......###...##...#.#.#..#....#.###.#.#.#.#.##....#.##.####...##.##.##..#######.#..##..#.#..#####.##..#..#####..###..####.#.#..#.##...###..#...#.......####.#.##..#..#.#....###...###..###.##..####.#......###.#..#..#..#.#..#.##.#...#....###..##.#...##.#...####.....###......##....##..##.###..####.##..##..####...#..##.##....#...###.###..######....###.#..##.#####.##......#..####.#.##....#####..#.###..####.###.......##.#.#.#..##.#....##.##.##..###........###.##..#......###..##..####...####..####.####..#.###.##.###.#...........###.###..#..#.....####.....####..#.##......#####.#.....###.###...#.#.##...#..###....##...####..#..#.##...#...##.###.#####.#..#.#.####.#.######.##..##.####.#.#....###.#....#####...##.#####..#.#.##.#.###.##..##.....##......#..##.....######..####.....#.#.##.#.######.#####.#...##.##.#######.#..#....#.#..####.#######..#..###..#...##...#..#.##...##..#.#.#.###...#####.##...#..###.####.#.#.##.....##.##.##....#.##.###..#.##.###.#..#.#####....#.#.#.#.##.##.###.###.#........#....#..#..##.##.#.###...#.#.....###..#####.#..###.#..#.##.#..##..#####....#.##.###.#..##...#..#...##.#...#..##..##.##.#....#.##.#####.####...#..##.#.#.....##..###.#....#....#....#.#.#....#.#.#..##..#..##.#.#........#..#....#...##..#...####.
##..###.#.#####..##.#..###.......###.#.#..#####....#..##...#..####.#..#######.#####..#...#.#..#...#.###.#....##.###.#.#.#..#...#..##..#..###.....#...##.#.##...#.#..##...#...#..#.#......##......#..#.......####....####..##....#.#.#.#...##...##..#.##.#...####..#..#...#.##..###..#.##.#####.#.###...#.....#.###..##..#.####.##.#.#.#.#...#.###.##..#.###.###.#.#......#..##...#..##...#####.#.#.###.###....####...##.###..##.##..###.#.#...#...#...#.###......#.##.###...##...#.#.#.##..###.##..#...#.#.###..#.####.##...#..##...#..###.#..###..#...#.##.##....######..#.##....##.##.#.#.#####..#...#...###.#.#..#.#..#.#...##..##.########.#...#.##.#.#...#..#..##..##........###.....#...#.####...#.#..#####....#.####...#...#..####....#.###..##.####.#..#.#.#...#......##.##.#...##.#..##..####..#.###...#..#...##.#..#..####..#...#......#..#.#.###.....##...##.##....##.#.#..#..#.#.#.#..#...#..#.######.#.#.#####.##########.....###..##...###.###..#.####.##..##.###.#.#####.###.##..##....#..####.#...##..#.####..##.#.....##.###..#.#.#.....##.###.##.##.##..###..#....#.#####.#.##..#.#.###.#.#.#..#..#.##..###.#.#.###.#.##....##.....#...#.#..#....##.#.###..###...###.#...##...####.########.........###..#.##..##....#....##..#....##..#.#..#..#.#.#.#.#.##.##...#....#.###.#####.####..###.#.###...##.#......##..##.###.#......#..##...##.#.#####.##...#.##..#...#..#.#.#.#.#...#.....####.##.###.##..#..##...#.#.#####..##..###..##.#...........#.###..#.##.#..####.#.#.##..#.##.#..##.##....##.##.#....#####.#.#.##.#..#.#..#..###.#####.#..##....##.#.#...#.#..##.#...#..#..###..##.##..######.##.#...##.##....#..#...#.###.....###..####...#.##.#.......#....####.....######.#.###.##...##..#####.###....#....##.###.####....#.#.##.......##..##.##.##.##.#.###...######.#...##.#######..#.#.##.###.#####.....#.....###.###....##..###..##.###....######.#...#.........#..#..##.....#.###.######.#..##.#...#####.#..#.##..##.#....#...###..###...#......##..####..##..#.#.#...####.###.##..#..##.##..#...#.#....#..###..#.......#...####..##......##...#.
##..#..###....#...#......###..##.###.#.####.#.######.##...##.##..#..#.#.###.#..###.##.#....#.###.#..####..#..#....#.###...##..####..####.#....#.###.####.##..##.#.#...##....###.#######..###..#.....##..#.###.#......###...##....#####.#...#.#............#.####.##....#..###.##....#.#.#.####..###..#...####.#..#...#..##...##...#.#...###..#.##...##..#.#.#.##..#.#..##.#####.#..#####.##..##..#.#...###.###.######.....##..###.#.....##.####..######...#...###..#...#.##.###.####.###.....##.#.##.##....######..##..#.#.#..##..#..#.#..##...###....#.##.......#.######..##..#..####.#.#..#..#.##.##.#.#........#..###.#...##..#..###..#..##..######.##...##.##.##.#......#.#.#..#..#..##..#..###..........#..#..###.#....#.#..#..###...#..#####..#..#.#..#...#...##...#..##..####.#.#..#..##...##..#######..#####.#..###..#.#......###.....##....#.###..####.#..##.#.##.###.#..##.#...#..#..###.###.##.##..##....#......#.......##...#.#....#.##.#####..#######.###...#...#...##.##..#.#.#.###.#.....##.#..##..##.##.#.#.##.#.####....###.##.###.......#.##.#.###.##.#..#..#.#.#..#.###..#..#...##...####.#....##.....##..####..#..##...##.######.#.......#......###..#####.#..###...#...#.#....##.##..###.##...#....#.#..#..#.###.######.#.##.#..##....#....#.....####.#..###.####.....#.#...##...##..#.##...#..###..#.####....#...#..##...#.#.........#....#.#..#.#.#.##.##.###..#...###..#..#####.#..##.##.#.##.#..#......#.###..####..###..######.###....#.##.######.####.#..#.##.###.#.####....###......#.####.###.##...#.##.###..##.#.####....####..#..##.##..###...##.#####.#......##.#.####.....#..###.##..##..#.#######.....#..#.#..##...#.#.##.#.#..###.###...###..##.#..#..#..#.##.#.#.#####...#..##...#.##.##.##..#.#.##....#.#######.#.#.#..#.##...##..#.#....###...#..#..#..#..##....#.##.###..#.#..#....#....#.....#.##.##....#..#.####..##.#.##...#....#..#.##.#....##...#####.##..##....#...#.##.###....###.#####.####...#..###..###.#.###.#.....##...####.#....#.###...#.#...####.##.##...#.#...............##..#..####.#.#.#....#..##...#####.##..#.##..#.
.####...##.######.##.#..#.##.##..#.#..#.##.##.#.#.#####....#.##.#...#.##.#.###.#.#.........#...##.#.#.##..#...#.######.##.##...#.#.###..##...##.###......#.####...##.##.##..##.#.##.#......##.#.#.##.####..#..#.#..##.#.##..###..#....#####.#..#..##...###.##.#.##..#.##.#.....#...##......#.##.##.#######..#.##..#.#....#...#.#.##..##.....###..##..#....#.....#....#.#..#..#.#.#..####.##.#...#..##....#...#..#...#..##.....#..#####.#..##..######.#.##.#..#...##.####.###.##...##.######...##.##.##.#.#.#.#.#..##...##....##..#...##.##.#.#.##..#...##.#####..#.#.##...##.#.#....#..##.##.#.#..#.....#.##.#.#.##...#####.#...###....#..##.#.....#.#..##.#.#..###.#..##.#.####.#..#####.##.#.##.#.#.....##..####.....####.#..##.....#..#.......#.........#.###.##..###.#..##.#.#..###.#..#...#..##.#.####.##...###.##....#####.#....####.#..#.##.#.##.#.####.......##.##.#.##..##.##....###.####....#.#.###.....#.##..##..###.##..#..##########.#.######..###...#.##.#..####.#....####.......##.#..##.####...#....##..###.#.##.###..#..##.##.#..##.####.....#.#.##.#.#..#.#.####..#...#.#..##.##...#.#..#...##........#.....#.#.#....##.#.#.#####.###.###.#...###.#..#.##.....#.#.##.#.#######.##.#.###...##...#...###.....####.#.#.#..####..#..#.####...####.#.#.....##..####....####..##...#.#.##..#.#.....#......#.#.##.#....##.##.#..###...#..#..#..###..##.##.#####...###.##.#.#.#....###...####.###.#...#...#.##...#.###.##.#.....##....######........#..#....#####.#####...#.######...#.##....#..###.#####.#..#......#.##.#..#.##.##.##..###.#.....##...#.###.#####.##.#....#.####..#.#######.##..##.##.#.##...###...###..#..#.....#...####...##..#####..###..#.##.#.#.#.#....###.#..#.##......##.###.#.#.##..#..#.##.#.#.....#####.##.##....#...#.#.....###.##..#.###..#....##.######.##.####..#.#.##....#.#..#..##...########.#.#.##.....##.##.#.###.#####.#..##.#...##........##.#.###.##.#...#..##.#.#.##.....##..#..#.....#.#.##...#..###.##.####..#.#.##.#####...###..##.#.#..#..#.#.....####.###.#..#..#..###.###...##.##.##.##..#...##.###..#.##.#..##..#....##
.#....#....#.....##....#.##.#....#.#.#.##..##.###.#.##.##..#.###..#...##.#....####.......#..###..#.#.####...##.#.##.#....###......##..##......##...#.##.##.#.##.#.##.#.#..##..##.##..#.....#...#..#.#.#....#.#.###.#..#.##.###.##.##.......#.###.#.#..#####.#.#.##..##.....#.#.#..##....#...#.###...###...###..#..#.#.#..##....##..#####.###..#..####......#...##.##.###.#..#...#..#.###.#.#...##...#######..##.....#.##.#.##.#..#.###.###.#.####....#.#.#.##.#..##.#...#..#.#.####..##..#.######.##...#.....#....#.#..#......#...#.#....#.####..#####.#.##..##.####....##.#..#.#.#.##.#.#.###..###.#....##.#....##....##.##..#.##...##.##..#...##..#######....##..#....##..##...########..##.##.##.#.##.##.####..##.###.#.#.#..####.#..#.#.####.#.....##..#.###..####.#..#.###....#..#..###...#....#.##.#.##..#.#.##.#.######.#....#.##...##.#.##..####.#.#.##.#.#..####..######.......#.##......#...##.###.##....##.####..####.#.#.#.####..####......##.##..#.###....##..#.#..#.####.##.##..##.#..#.#.##.#..#....#.#.#..#..###.#.###..#..###...########..##.####..####...#.###.#..#...##..####.#..##...###.#..#.##.###.#.#.#.#.....#..##.##..#..#..###...##..#.###.######..#......#..#..##.....##...#.###.##.#..#...####...#.#.##.##.##...##....#.#..#.####.#.#...#.#..####.#...#####.#...#..##.#..#.#.#.#####....###..##...#####...#.####..###.####.##.##.########.#..#.####.#...#.##.######..###.##........#....#####.#####.#..###....##.#.###..##....#..##...#.##.#.#.....######.#.#.#.###............##..###.....##.#....##.........##.#...#..#....#..#.##..####.....####........###..##.#..###.##...#####.#.###..#.###.##....##.#..#..##.####..#...#...##...##...##.#.####.###.#..###.##.#...#....#..###..#.#..#####..#...#.##.#.#...#...##.#..##....#..#...#..##...##.#.##...#.#.###..##.#..###.###.####..####..##..##..###...##.##.....#..#..#..#.#.#..#.###.##.###.##.##...##..####.#..#....#.#####.#.###.###....#.####..#.#.#....#.##..##.##.#.###......########..#.###..#.#...#...###.###.##..###..#......##..##....#...#....###.#.#..###...#..#..###.#.##.#..#..##.
.....#.....#....#...#.#...##..#.#.#.....#.#..#...#.##.#...##.#.#.#.######..#....#..##...#..###.###.###.###.#.##.#.##..#..##.###.#.#.#.....#..#..#....###.#..#..##.########.#......#.....#.#..##.#...###...#.####..#.#...#.#..#...#.....##..#........#..#####...##.#.##..#.#.##.#..#####..##..##..##..#.#.#....##..###....#.#....#.###..#...###..##....###.####.##.##.....#.#.#..####.....#####....#########..##..####..##..#...#.###.#..#.##.######.##...#..#####.#.###..#..#####.##.##.......#..#....#.#..#.#....##...##..##..#....#..#####..#######..#.####.#..##..##...#..#..#.#....#####.###....##.###.###.##.#..##.#.#...#.###...#..###....#.###.#.....##.##...#....#.##..###..#######.#.#.#...###.#....####..#.#..##.#.#...##.#.....#.#....##.....#.#....#..#.#....##..#.####.####.#...##.##.#.##..##......###.##.#.#.#.#..#....####...##.###.#.######.#..###.#.###.###...###..#.###...##...#...#...#..#.##.###.#.#.##.#..#####..#...##.#.###.....##..#....#.##.#.##.##.#...##.###...#..#.....##...##.#####.##....##...####.#.#.####...#.#.#########.#.##.#..#.###.##.###.#..###.###.....#..##..#######..#.####.##.#..##....##.#..#.##.#..###.##....###.##.#####.#.###.#.####.#####..#........##.###.....#.#.##...##.#..##.#....###.#.#.#...#.#####.#...###.#.#.#..#..###...#.###.#.###.###....##.#.#.###..###....##.##...##.#.#.#..#.#.##...##..#..#..#.##...##.#.#..##.##.#..#..##.#.###.#.##..##.########.##.#.###....#.#...####......#.#...#...#.#.####....#..###..#.####..##...##...#.#.##...#...##.#.......##.#...#...#.....###..##.#....#.##...####.#.#.##...#..##.#.#..##..#...#.#.#.#..#...#....#.###.###...##.###.##.#.#.####.#.#...#.####..#......##...#####..###....#....#..##.#..#...###.##........##.###.#####.###.#.....####...###.###.##.#.##..######.##...#...####..####...#.##.##.#.#..#.#.#...##.#.#...##..##.#..#...##.....#.#.#######.#.##..#..###..#..#####.#...#.###.###......#..#.##.##..#...##....##.#...#####..#..##.#.#...#.#...#..##.#.######.#..#.#.......##......#..##...#.####.##.......#...#..#######.##..#.#.#####...#.##.##......#######
#.###..##..#..##.##.##...###.##..#.###.##..###..##..####.#...#..#.#..###.##.....##..##...##......##.####..#.#.##.#...###.###.#..##...##..#.#..##.##.#.#.#.#.##.##...###.#.#...###.#.#.....###..######..###.###.#.#....##.##.#....###.#.#...#.#.##..##...##.#####.###...#......#.#..##.##...#...#.#.........####.#..#..#..#########.####.##.##.###.......#.#.#...#.##.##..#..#.##..#....###...##.#.###...###.........##...####.#..###..##...#.#...#.##.##..#...#.#..#...###....######..#.....##..#..###.###.#.##..#.#....#######.###.#.##....####...#.##.#..##....#.......#.#.###.#.#.##.#.###.#.#.##...###..#.#.....#.#.#..#####.#..#.###.##.#.##.###..##...###...#.##..##..#.#..##...#.#.#..#.###.....#....###...#....##..#....#..#.#.###..######...##..#..####.##.########.#.###.........#.#..#.##..####.##.#...##..#.##.##.#.#.#.##....###.#.##..#..#..#.##.#.###.###.##...#####.......#.#...###.#.....#.#.#####.#.#.#####..##.##.#..##..#..##....#.#.#..#....#.#.##..###.##..#..#..#..##.##.###.###..#.#.##...##.....#.###..#..#....##.#.#......#....#.#...#.......#.##..#......##.#.##.###......#.#...###.##...#.###.#.##.....###.#.#..####.#......#..#......#####.##....#...#..##.#..#.#.########.#######..#...#.##.#..#...#..##.####...........#####.##.#....##..#.#..###..#.#.#...#.#..##..#.....#..###.#.....##...#...##.###.#.#.##..######...#..#..####..#.###...#########.#..#...#.##..###...#......####.####....###..##.##.#......###..#.########.#.......#..#.####.#.###.#...#.##.#..##.#..#####.#.###.....###...########..##.#....#....#.###....#####...#.#..##...#...##...###..###..##.#.##...###.##.#######.#.##....####....#.#.#..###...#.###......###..###....#.#..######.#.....##.......#..##..##..#..####..###.#..###...##.##....#.#####.#...#.###.###..##.######..######.#.....##.#...##.#..#....#.###.##......#.....#.#######..#....###############..###.##.#.###.##...##...###.#.#.#.##.#.##.##.#.#...####..#.#.#.##..##.#..##.#..#...##..#.#...##.####...#..##.....##..#####..#..#.#..##.#..#...#.#...####.##..###.###..#######.##.##.##.##.#..##.#.###.
#..#....###.#..#.#####.##...#.#..##..#.##..#.###.#....#....#...##.##..###..###...#.......##.##.########.###.####.#...###.##.##.#####..#....#..#....#.#.....##.##...#####.#.....#.##.###.#.###...##.#..##...###.#.#.#...#.#.#.##.#..###..#.###..##.####.###..#..#.##.###.#.#.#...#...#....##...##......##...#..##.##..#####...#..##.#...#..#.#...#.#.#.#.#.##.##.###..#.###.##.....##..###..###...##.#...###..#..###..#...#.##.#.#....####.#....#..#..#.####..#.##...#.#.#.....#.#..##.###....#.###..##..#.#.##....####........##..##..#.#.#.##.#.#.##..#...###.#..####.....#.#.#.#...#.#.##.#..#.#.##....#...#....#..#....#####.#...#...#.###.#.#..#.#.#..##...##..##......#..####..####.#..##..#####.####..##.#.....#.#####.#.#######.##...#.###.#..####..###..#............#....##....##...##.....#....#.###..#...##.#####.##..#.##....##..#...######....#..#.#....##..#..#.#........#....#.##.#.#.#.#.#.##.....######..##.##..#######.....##.##########.#.#.###.###...#...#.#.#.#..##..#...#.####.#.#.##.#####.#.#.#.###.#####.#.#.##..#..####.#.##...##.#...#..#.#...#...###.###.....#.#......#..#.###......#.#..####.###.##.#.#..###.#.###..##...#.##.#.#.####.###.###..##..###.#.##.##..#.....#.#...#...#.###.#...#.#...###.....####.#...#..##.##.###.#.....####.#..#####.#.#.######....#.##...#.#..####.##..#.###.#.##.#.....###...##..#####...#.#.#.#.##...#.#....##.#..#..#.#..##.#.#..##.#.....#.#...#.##..#.....##..#.....#...#.######.....##.####..#..##.##..##...##....#####..####..#.##.##...###.##.#.#.###.##.###.##.#.####....##.#.##..###..###.##.#.#.#..#..###.######....#.##.#...#.##...####.#.##.###..##.#....###...#.###.#....######.#...#####...#.#..##...##.###.##.####.##...##..#..####..#..####.##.##...#####..###.#..#.#.##....##..##.#.##.#....##.#...##..##....#..#.#..##.####....##....#.#....##.#..#.#......#..#...#.#...##.##..##....###..##.##..####.##.###.###.###..#..#.#.......##.#.##.#..##.#.###.#....#.#......#.##.##..#...#..#....#.###....###.#..######..#.#...#...#..##...####.#..##..#..####.....#......##.#...##...#..#.#.....#######
##...##.###.###.#..#.######.#...#....###..##...#.###.###.##..#..#.###..###.#...##.##.##.####..#......#..#.#.###.#..####.##.#.##......####..##..###.###..#.###..#.######....#...#.#.##....#.###.#...#.###.#########..#..#.##.#.#..#.######.###.#.##.######.....##..####.........######.......#...#...#..#.#.#.###.#########..#....###.#.##.#..#....#..##.#.#.##.#.#..###..##..##..#.#...#.#....#######......#..##..#####.#####.#..#.###.#..##....##...##.###.#.#..##.#.##..###..##.#.#..##..#.....##....#..###.##..#.####.##..##.#..#.###..##.##..##.#..#..#..#....#.###..##....##..##..##.##..#...###...##....#######..#.#.##........#.##..###..#.####.###..###....###..##.#.###.######.#.##..##..###...####..###..###..##..##...#...##...##.####.#.##...##.#........##.###.#.......##..#.#.##.#.##..#.####..#...###.#.#########....##..#.###.###..####...#.##.#...#####.#...#....#####.#.....####..##...#.##.##.##..##.##.##....#.###.###.....#..###.#.##...#.####.#.######.#..##.##...#...##.......#......#..##..#..####.##..##.#...##...#.###..#.#.#.....##.##.#.......#..#..##..##...#.......#..#.##.#.####.......##.#....##.......#.##.###....#.#########..##..###....#.##..##..#..#...##.#....###.#..#.#.#####.#####..##.#.#.#..#......###.#.###...##.#..##.####..#...###.....#.##..###.###.###........#...#.#...#..####..#.#....##.###..#.###.##.##....##..##.#.##.#####.####....#..#..##.#.#.##.#.###.#..########.######.#...#...#.###.#.##..#.##...#....####...##.##..######...######...#..###.#...####.#.##.....#..##.#..#.#.######..#..##.#.###...###########.##.###..#.#..##.#.#.##.#.#....#.#####..#..#....##..##......##.#..#.###.#.#####.#.#.###.#......##..##.##.#..##########.#....####.#.##....#.#.#...#..#.####..#...#.##.##.#..#..###.###.#....#......#..#####....#..#.#..#.##...###.##....##......##.##.#.##.##......###.###.#.####.#..##..#..#.##.###.......#..###.#.#.##.#..#...##.....#.#...###...#.#.###.....#####.##...#.....######..##..#..##.#..##...#..#.#.#..#####.##..#..##.#.#...####.##...##..#.#.####..####.#.#.#.##..###..#.#.#.###.####....#
#.##.#....##.#...#...##.#.#.#.##...###..#.#.####...####.#.##.####..###..####..#...#.#.#####.....#...#####..##.#.####.##.##....#...#####.####.#.###.##.##...#..###.#..#..#####..#.#.#####..####..#.####...#.#..#...#.####...#.####..#.#.##.##.###....#...#..#.##..#.##.#.##....###..#.#.......#...##...##...#.#...#......##.#..##.##.##......#.#..######..##...##.###.###...#.###.##..#.###....#.##.###....#.....#..###.#...#...#....#.####.###....##..#..####.##.#.#.#....####..#...##.##...##.#.....#.#.########..###...##..#..###.###...#..#######..#...##.......#...###.##..#.####.#.#.#..##.#.##...#......#.##..#.###...###.##.......###.#.####..#.#.#..#..###...#..##.#.....##.##.#.####.#....#..##.#..##.####..##...###.##.....######...##..#..##...#.#.#.######.###.#.###.#..####.###..###..#.######.#####.....##.##..####.#####..##.###.##.####..#....##..#...#.###..#.#.####..#.##..#..#.##.######..#.....#.##.##.#####.....##.#...#.#.....##.###.###.##..##......#..##...##...##.###.##.######......#.#....#.........####....#.###.#..#...##....#....#..#..#.##...#######...##.#..#.#.#..##..####.##....########...##...#.#####.###...###.######.##...#.#..#.#.##...###.##.##.......##...###.###...#..####.###..#####...##..##...####.####.###.###...##.##..#..##.......##....#####.#.#.##..##.#.....#..####.##..#.#.#.#...###.#.#...#..#######...#..#.......#######..#.#.###.####..##.#..#...######..##...#.#.##.#...##..#...##...#..####..####.##.####.#..##.#.#..#..###....#.#..#...#....###.#.#....#####...#.#.#####..#.#..#.##.###.#...###.#...#..####..#.#..#...#...###.###.....###....##...#.#..#.#.#.#....#.##..#..###.#.#...#...#..##.##..#....##.##.#..#.##..#..#...####.#...######.#####..#.#..#.###..##..#.###.####...#.#....##.###...###.##...#.#..#.#####.##....#..#...#..#......###...#..#.#.#..#.#..##.##....#.####...#..##.#...##.#.#####..#.#..#######..#.#..#...###....##..###..#...##.#.##..####.#...##..#.###...##...##..###.#..#...###.#######.#.####..##...#..#.....#.##..#....##..##..#####.#..########...##.##....#.#.###...#.#.#...#.##.#.##
##.###....#.##.#..#.#.#.##.#.#..###.##....##.###....#...#....###.#.#.####.##..##..#####..##....#..#..###..#..#####.#....##....##..######..#.#..###.##.#.#.##..####.......#.....#.#....#...#.#.#..#..#.#..#..####.#.#..#....#.###...#.##.#####.##..#.#.#....####....##..###.#.##.#######....#...##..##....##.#..####.#.##.#..#..#.##...#..###...###.#.##..#.#..#....##..#.##...#....#######.###.#####...#.##..###..#.##...........##..###..##....##.###....####.######...###.#.##...##.#.##...##.#.#.#.#.##...#..####.#####.#.#..##..#...#.#.......##...#..###...##...#..##.#..####.#.....##.#.#.#.##...####.###..#...####.#..#...#.##.##.##..#..#.###.#.##.###.#.#.##...#..#..##.#...##..##...#.##.#....###.##.####....###.....###.#......####.####.#.#.##...#...#......###.##.#.##....###..#...#.#.#.##...##..#####.##.#..##..#..#.#.##....##...##.##.#...#..####.#.###...########..####.#.#....#.#.....#.##..#..##....#.#.#.#####..#...#...#..#######..##.##......#.###.###..#..#.####....#....#####.##...##.#..#.##....##.##...##.#.#.....##.######.#.#.##...###.#...#..#........#.##..##.#..#.#.##..#..##...#.#.##..#...#.#..#..##.#...##.###....##.#.###..#.###.##.###.#...####.....#.#.#...###...#...##.##..#.#...##.#####.##.#..#..#..#.#...#####......###..#.#...#.....#..#....###.##...#.#.##..#...#..##....##.####.#..#......##..#.##......#....#.##.#.####...#.#..##.#....##...#..#.##..#...#.####....##.##.#.##....####...#.........####...##.##..##...#...###.#..#..#.##..###....#.#####.#....#.##.......#.###.#.###.#.#.##.#..###..####.#..###..##.#..#...#...#.###..##.#.#.#...###.##...##.###...#....#....#..##.#.##..#####..####....##....#...#..##.##.#.#####..###.##......#####..##..##..##.##........#..#.##........##.#..#..##.#.###.#.#..#.##.####..#....#....##.####....#.##.##.#..#.#.###..#..#..##....####.#####.#...#.###...#.....#....#####...#...#...####..###...##########.......###..#####.##.#...##..#...###...#......##........#.#....###.#...##.###..#.#.#......#..#.##....#..#..#####..####...##..##.#.#...#..##.#....####..####.#.#####.#.###
.#####...##...###.#.###.#.###.#.......##....#####.#....####.####..#...#..####..##..#..#..##..####.#..##..#..#.....#.##...#.#####.#..#.###...###.#.#.#..##.##..#..##.#####.#.#..#.#....####..###.......##.##.##.#.#.###..#.##.####....##..##...####.#.....#.######.##.#....##.....##..##.###.#..##.......#.#.##..#.#.#..#.....##..#..#.##.##....##.####.####.######.#.##..#.#.#.##.##.#..##..#.##.##..#..##..##.###...#..##....#..#.....#.#..#...#....####..##..###.##.#.#.........##.#.#######.#.#.##..#####.#...##.####.....#.##......###.#.#.###.####..##.#########.#.#.#...#######..##..#####...###.##.#.#.###.####..#.#.#..#..#####....###..#..##.#.####.##.##.#..#.####.....#.#.####.....###.##..#.#.#..#..#.#.###.....##.##.#..###.#.####.#.###.#.###.#.#..#.###..##.##.....###..##...#..#.##.####....#####.#.##.......##.###.##..###.###.#####.#....##..##..#.#.##..#..#...####..##...#...##.###...#.##...#...#..#..##.#.####...#####......##.##....#.##.##...#.###....#...#.###.##.##..#.#####..##.###.....#..##.#...######..#...#...#........#...###..#.###.##..#.#..##...#....#####........#.#.##.###.#..#.#.#####....#...###.##..#.#..#.##.#.#....#..####...###.######..#.##.##.#...#.###.......#.#..#.#..##.#...###.#..#.###.#.#.##.#..####.########.##.######.#.#.#.#...###.######.#.#.#.####.##.##.##.######.#.##.######.#.####.#.##.#....##..#.#.#.#..#.###.#...####.#.#..###.##..##..##..####...#.#..#.#.##...#..#.##.#.##.#..#.#####....#.###.####....##..#..#.###..#.....#.#.....#...##.#####.#.#..#.###..#.###.##.........#.##.#..#.#.#..#####.###...#.##....#.#..##.#.##.##.##.###.##...#.##.##..#.#..#.##.###.#....##.#.##.##.#.##.#.#..#.#....#.##..##..#.##...##....#.###..##.#.#......####..#.#.###....#..####.####..####.###.#.....###..##.#.###..##..###...#.##.####.............#.#..###...###.......##...##.#.###.#.###..#..#.####......#####....#.###...###.#.###.####..#.###..#..###....#.#.#.#...#.##..##...#.####....#...#####.###..##...##.####.#..#.#.##....##.#..###..#.#..#####...#....#.###..#..#.##.#.#.##.##.#.##.###.#..##.####....##...
.##.#.##..##..###....#..#..#.#..####.####..######......#...#......###..#.##...##....########..##.#.#..##.#..###....#.#.#.####....##....#.#...#.#########.#.####..#.#....#.##.##.#.##.##..#.#....#...........###..#####.###..####..##.....#####..#...##..#.....#..#..#.###.##.#.....###.#...#...#..####.#..#..##.##.##.#.##...###.##...####.#.##..####.#..###.##...........##.#.#.##.#.....##.#......#..###..##....##.#..#......##.#.#.#.##.##.####..#.#.#..##....#.###.#..#..#.##.#.##..#.....##.####..##.#.###...##.#.#.#..#......#.#.#.#.#..###.#...#.###....#..#..#.##.#.#...###..#......#.#.#.##.##....###...##.#.#####.##.#..#.#.##.####....#.....#.#..##.#.###.##.#.#####..#..#.#....#.##.#..#...##....#####.#.#########..#...#..#.####...#.#.####.#..#..###..#.#####..#.###...#..#.......####..###.##..#.##.#..#..#....##......#####.#.##..##.#..#..#.#.##..#.##.###...###.#..#.##.##...#....#.#..#...##.##...#..#..#.######...##.####....##....#.##.##..#...#..####...#.##.#..##.###...#.#.###......###..#..###..##.###...##....##.##.#...#..#.##...#...#.##.##.#...#.#..##..###..#.#..#.#...#########.#....##..#.#.#.###..#.##.##.#.#.#########.#.#...#.##...#.##....#..##.###...###.##.#.#.##..##...#.#...#...##..###......#.####...#.##..##.#.###.####.#######..#..###.#..#..##..#...#####.#.#.##....###.#.#..#......#######..#...##.##....##.####.#.###.###...###.####..##..##.###.#......##...#..###.#.#..##......##..#..##.#.##..#.##.##...###..###..#.##..#####.####...#.#.##.#.##.##..#...#..#.##....#..#...##..##..###.##.#.##...#.#..#........##.##.#.#..#.##....#.#.##....#..##.#..####.#.######.#.#.#.....#.##....#.........##..#....##.#.##.#.....###.###....###..#.###..#.##........###..#.##..###..#.####.##.#.#######.###..#..###.#..##..#.##.###.#....##.##.##.....#.#......#.#.####...##..#.#.....#.###..##.#####.#.....#..####.#.#.#.#..#..#.##.#.#....#...#..#.....#.....###.#.....#.#...###..#.....####...##...##.#..###.##.##.#...#..#..#.####..##..##........#.#....#.#..#..#.##.#...#.#.#.#.###.....##.#...#.###........##..##.##.#.......#.#.##
.#.#..#.#......###...#...#.######...######.#.#####.#.##.##.##.#.#..#.#.##.#.##..#.####.###.###...##.#..#.######.###..##.#.#######...#.##....######.#....#.##.##...##########.###....##...####.#...##.###.#.##.#...#.#...........#.##.###..#..##.##.##.#.#..#..#...##.....##.#..#.#.#####.#...##.#.....#.##.....####...###....##.#.###..##.#.##.##....#...#.#.#.###.#...#...#..#..##.##..#.##.##.###.##..####...#..#...#.....#.......#..#.#...###.#.###..#.#.#.#...##..###..#...##.#...#..#.##.##.....#.#.##.#..##....###..####...##.#..##.#.#.#.#.##...........#..####.##..##.##.####.#.#...#..###.####...####.#...##.###.######.#..#.###.###.##.####......#......#...#...#...####..#.######.#.##.####.##.#.#..#.#.##.#..####.#.#...##.##......##...###......##....####.#....#.##..##....##.######...#......#.#....#.###...#..##.#....#..#.#...#######.###.##.#...####..#...####..#.#.#............#.#...##.##.###.#..#.##..#.##.#.##..##....#.#.####...##...#..#.##....#...#...###..##.###..#..#####.#.#.#..#####.##...#..###.#.##.#.#.......#.#..###....#.###...#.#.##.#.....###..##.#..#.#.#..##.###...###.###.#..####..#...#.####..#####..#....#..##...#....#..##..#####.#.#.#####..#.##..#.#.#.#..#..#.###..#####...#..#####.#.....#.####.#.#.#.#..##.#..######.#..##..#....###..#.###.####..#.##.......###....##..#.#..####....#.#.#...#....#.#..####...##.#.....###.##.###..#.#.###......#...#......##.##...#.#.#......#..###..###..#..#.#..###..##...##.......##.....##.#...#....####.#....#....#.#.#....##..####.###....#..##..#######..##..########.#.###..##.###.#.#.##.#..#########...#...#.##.###.#.#.#.....#.#####.#..######....#.##.....#.#.####.#...####.#....#....##..##..#..##.#...###.###.#########...#......###.##.#.##.#.#.#######.#..##..###....#.##.#...#####.#..##..#...#.####...#.##.##.#..#.....##..#.##..#..####.#.#.###.#.#.##...###.#.###..##...##..####...##.#..##.#..#...##.#.....#..#.#.#.#..#.#..###...##.#.......####..#.##.....###..######..##.#...##.#.########.#.#.##....######.###..##.#.....#.......##...#.........##.#...###.#####..####
..##..##.#..##...####.###...##.#...#.#.#.#.#.#.##...####..###.#.#.##.#....#..#.#.#.#.#######..###.#.#..#..##.....##..#.#.....#..###....#.##.####...##.#..#..#..##..##.#####..#...#......#..##..####...##.##.####.##.##.#...#.#..##..###.#.##..#...#.###..#..#..###.#..###.#.##..#....##..##....###...###......###.#..#....###.#.....#.#.##.........#.#####....#.##.###.#....##...#..#..#.######.#######....###.##..#....###..###..#####..##.....##..###..##......####......#.#..#...###..###...#.##.#....#....###....##.##.##.##..##..###.##.#.#.....####...#.#.#.#.##.##.#.#.#..##.#..#######.##.#...###.#..###.##.#..#.#.#..##....#.##.###.#....#####....####.##...##.#.#.##.#.###..#.##.##....#.##.##..#.#....#...##..###......#.##.##..##.##..####....###.##.##....#..#.#..#.#..#..#.#.##..#.#..#.....##..#.##.#...###.#.#.##...#..........#..#.#..##...#.#..###...##..#..#.##..#.####..###...#.###.###.##.#..##..#..###...#.#######..#.#....###.#.####.#.#.#..##.####..####..#..#.#...#....#...#.#.#...##.##.#.####..#......#.######...#....#.####.###.#..#..####....###.###.#...########..###.#########...#..#####....##..#..##..#....#.###...#.#...#..#.###.####.##.####.#....#.......###.##...#..#####.#...###..#.#.#######..##...#..###.###.#.#..#....#...##.##.#..#.#.#....#.#...#....#.#...###.#..##.......#.#..####.##..##..####..####..#..#####..#....#..##....#..###.##...#...##...#..##..########..#..######.####.....#.####.#..###....#...#....##.##..####..#...#...####.###..#...#.###.#.#####.#......##..###..#...##..###.#...#..####..##..#.###...#.#..#......##..#..#.####..#.###..#.#.####.#.#.####.#.#.#..#...#.##.#.#..#.#####.#...##..##.####...#....#.#####.##.##.#.####.#.#..#.##.#....######..##....#...#.#.#....##.###.####.#..##......##.#.#..#...#.#.....####.###.##.##.....###...##......#.##.#####..#..#########.##.....#.#.#..##.###.#..#...##..##.##.##.##..##.##.#####.....#..##.............##.#...#...####.#...#.....##...#..#####..#.###......##..####...##.#######.##...#...##......###.#.##..#.#.##..##.###.#....#......##.####.#.###.#.
##.#.####.......##...#....#....####.##.#...#.##.#.#.#.#..#.#.##.#.#..#.###.......##...#..#.##.##..###...######.####...##..#####.#..#...#...##...#.#.#.#####.#...#####...#.#...#.#...##.###...##..##.......#####.#..###.##..##..#.##.#.....#..##.#.######.#..##...#.##...##....##..#..#.#.#.#####..###.#.####.#..#.....#.##.#..##.#####.###.....#.##...####.##.#.####.#.###...###..##..#.###.######.#.....#......###.######...##.#..#..####...##...###......#.##..#..#.#.#...#..#...###....##..###..####.#...####....#...##.....####...#.....###....###.##.#...##.##....####..#....#.#.####.###.#.####..##..#.#.......##.#..###..#.###.#..#..#....#..###.##.###.#...#..#.#..#.##.###..##.#....#....###...#.###.#.#....#.#.##.##..###..#.####.#.##.#.#..###.......####.......##..#....###.#..##.###.....#..##.###...##...##.#..#....######.#.#########..........###..#..#.#...#######.#.##....##...#.###.#.#...###..####...#..##.####.#.#...##.#...#.##..#.##.#..#..#.#####...#.#.#..#..#...###..#..##.#.#.##.##..#.###.#.#.#..##.#.#.#.##.#.#..#...##..####.##..#.###....##..#.#..#......#....#.########.........##...###......#......##.####.####.##.####.##..#.....###.#.#..#...#.#.#.#....#.#........##.#.##.##...##...##...#....#.###..#..##.#####..#...##..##..#......#####.##.##.#..##...###.###.##.##..#....##.#...##...#####.##..#.#.##.###.#..#..#....#..###....###.#.#..##.###....####....##.#...#....##.#..#.#...#...####.#..#.###.#.##....####..###..###.#..#.##.#.#.##..##..#.##..##.#..#.....#...#.##..####.#....##.....##.....##.##..#.#..##...#...#..###.#.#.#.##..#..#...#.##.#..#..##.#....##...#...###.....####.###.####.##....#.###.##..#.......##.##.##.##........##.##...####.#...##...###..####.#..#....#.##..#.....#.##...#.#...#.##.....####.##....####.#...#..#...##.#....##.#.#######.##..#.##.#..##.#.#######..####.##.####.##...#..##...#####....#.#.###.#.##.##.##....##..#.#...#.......###..#.####...#.##.####......###.##.#......#..##.....#####..#..#.#.##.##.##....#..##...####.##....###..#.#....##.#.#..#...#.#.#..########..##...###.#...#.#
#.#.....#..####.##.....##...#..#..#...#...##..#..##....#.#....###.#....#####.##...##....#.##.###.##...#....##.#.#.##..#......#######..##.#.##.#.##.#.....###..##..#.##.##...##.#.###.###.###.##..#..###.#..#.###.###...#....##.###...#####.#.#.....###.##...#....###.##..#..#..#...##.#.##..##....#.....#.##..##.##.###.#..###....#.#.####..#.#.#.##.###..###..#.##..#######.##....#....####...###....#..####...###..#.#.###.#.##.###.....#####..#....##.#..#.##...#.#..##.##.##........#.###.#.##.#..##.#..#....#.##..#.#..####..##..###.#.##..###..#..#.#...##..###..###....####.........#.####.##.#.#.#.#.###..####....##..#.#.#.##....####.....##..##.#..####....##.#...##.#.....#....#.#..#..#....#.##.#.#.####.#.###..#..##...#....###.#.##.#.#.###.#.##.#......#...##.###.##....#.###......##.###.....#...#.#..###....#...##....###.#..#...#..###..#..########.####.###...#.#.####....##...##.##.##.#....#####....#..##..#....#.#..##.#.###.......#.#...#..#######.##.##.####...#.##.#....##..#.#####..#..#...........#.##.#.#..##..#.#..#...#....##.##..#.#.#.##..#.####.#.#.##.#.#...#...#...##.##.#.#####..#....#..#.#..#.######..###...#..#...##.#.....##.#..#.#..#.####..#...#..###...###....##.#..#.##.#...#.#######...#.#.#.###..##.##...#...####..#.#.#..######.####..####..#####...####.#.#..####.#...##..#.##...#..#####.#.#.##.##..#######.#...#.#.#..#.#.#..#..#..#.##.#...#.#...###.##.###.#.#...#..#.#.#.#.##.########..######..####...##.##..#....#.##..#####...#..##.##.#.#.####...#.#.#.####.....#..###.#..#...##..#..#....##..#.##....#.##.##.#..###.##...#.#.#....#.#.#...#.###...##...###....#..#.#.##...##.......##.#.###.##....##....###.##.....#.##..#..#.##.#.#..#.....##..#..#......#....##.#..##.#########.##....##...####.##..#.#.###.##.#.##.#.#.##..####...#.#..####..#.#.#.#...#.#.#.....##.#.###.##...#..###.######.#.###.##....###.###...#.####....#....########..#.####.#....#..#..##...#.##..#...##.##..#..#.##.####....#.##.###.#..#.###...###...#..#.......##..#..###..####.#..##.##.###....#...##........#..#.##.###.###.##...###..#
#.....#....#..#..##.#.###.#..###.####.....#....#...#.#####...#.#....##..#.###..##.##..#....#########.##.#.#...#.#..#####.#.##.####.#..###.#...##..#.####...#.########.##.#####.##.#.#....#.#..#......#.##..#......#..####..#.######.#....######.....##.###..#...#..###.#.......#.#.#...#.###.#.####..#.#.####..####..#....####.#..#.#.#.#.####....##....##..##.#..##.#######.#...##.#.#...##..#.##..#.#.######...##....##.###...##.....#.#...#.##.##..##..###.##..#...###.#####..#....######.#..#......##.###....##.##..#.#..#..#...##....###..##.#....##...#....##.##.###.#...##.#.#.....#..#.#....##..#.##.#......##.##..##.####..#..##.#.##..###.############..##..#.######.#.##.#######.##..#.###.#..#..#..#..########.#..###.####..#.##.##.###...##.####.#..#####.####.#.####..#.#.##.#...#..........#..##...##.####.##.#####.#..#.#.##..###..##..#.##...#...#..###...........#...###.######....#..#....#........##.####...##.#.#..##..#...#.##..###.#.##..#..#..#.##.#######.###.###..#####.#.#..#...###.#...#.##..##....#.##..##..###.#.#..####.####..####..##..#..####.#.##..##..###.######..##.##..####..##.#.##..###...#.#..#...#..##.#......#.#.#.##..##.##.#####..#..#####...#...###..###.....###..#.#..##.#...##.#.#.####....#..####....##.##.####.##..##..#...#..#.#.#.....###.#####..########.######.#.#####....#...#.####..###..#..####.###.#..#.#.#.#.#.......###.#...###..##.##......##.######......#..###...#...####.#.#.##.#.####.####.#...##.#####.#####...##.#..#.#..#...#...##..#.#.##.###.#.#.#...#..##.###.##.#....#..##.###..##...##..##..#.##.#.##.##.#.#..#.....#.###.##.#.#.######.##.###.#..##.#....##.#...########..###.#.#.#..#.....##.......##.##..###...#####...##.#...#.#.###..####...####...#.#...##......#.#.###.#.#.....#.#.#...##.##...######.####.#.#..##.##.####..#..#..##.###...###..##.###..###.#.#...###.#.##.#####.#.#.#.....#.#..#..####..##...##..######.#.##.##.........##.#....#...##.#####.##....#..#.#...###.#.#..#...###....######.##.#...##..######.#...#.###..#######...##....##.#.####.#####..##......####..#..#.#.#.####
.##.#.#..#....#.#.#.##.#..#...###.######.....##..###....###...#.......#.#...#.###.#..#...##.....#.###.######...##.######.#.#....#..##......##...##.#.#..#.#.###...#.####.##...#....##...###..#...##..#..##.#......####..#....###..#######..#......###.####..#####.#.###..#.#....#.####.#..#...#..#...####...#.#.####.#...##.##....##.....#..#.#..#.#.###.##....##.##....###.#..#..#....#....#######....#.###..#..#...###.#...#.##..#....##.###.#.#.####...###..###.###...###..#.##.....#.##.#..#.####.###.######..#.##.........##.#..#...#...#####.####.#.##.##......##.#####....#..#.#####...##.#..##..#.##..####.#.#.#.####.#..#..#..##.###..#.#.#.##..#...###.####..##########..###.##.####...#.######.#..###.#.#....#.##..#.#...#.##.#.#..###.####..#..##.#...##...###...#...#.#.....##.#...##..###.#.#.##..####.###...####.....###..#.##.#.#.####...##..#.####..#....###.....#.#...#..##.##.#...##.##.#....###....##...#.#.#..#.##....#..###.###...#####.#..##.#.#...#####......##..##.##.#..#.######..########.##.##.#...###..#.#.###..#...##.....####.#.###.###.....###...##....#...##.#.######..####...#....#...#.###....######..##.#####.#.#.#.#..#..#.#.#..#...#.....####.##.#.#.#...##.#......###.#..#...#####.#.##....##.#.##.#..##.....#.###...##.###...##..#.#####..###....#####...#.##...#######.#####.#####..#...###...###......###..##.#..#.##.##.#####.#..#..#...###.....####.##..#..#...#..#.##.###.#.#####..#.###....#.#..#..####.##..#.##..###.....##.##.....#.#####.###.##...###....##.#.##.##...#######...##.#..#..#...##...#..##....#..#..#......#...###.#........###..###.##.#.##.###..##...#.##.#.#..##....#..##.#.#..###.#..##..######...#.#....##.###....#.##.####.#.#..##...###.##...##.#.#.###.###..#.##.#..#....#######..#..#.##.....#...####..####.##.#####.#.#.###..#...####.####..#.##.....##..####.#..##....#.#.#..######.#.###.####..#...####..#.##.....#...##.#....#.#.##.#..###..#.....#.##.#.#.##....#..#.####.#.##.....#.####...##.######.###.##.###....#...##..#.........###.....########..#..#..#.#.#..#..#.##...#.####.....#..#.#..#.
.....#.....##....#.##.####..####.....#...#..###...#..#..##..##.##.##.#.#..##.###..#####.###.#..##.####.##.#...##.......###.####..##..##..#.#.#.#..#.#.#.###.#.#..#.#...###.........#...##.#.##..##.####..#..#.#..#.###.....#..##..###.##...#..#.#.#######..#.#.##...#..###.###.######.######.#..#.#...##.#....#..#.##.#......##.#.#.##.##.##..########.#.#.#..###....##..#####..##..###.########.##....##...#.##.#.##.#...#..#####.#.#.##...#...#.#.###.##..#..###.#.#.#.....#.#.#.##....##.####..######...#..###.#....#.##...#..##.#.####..#.#.##....#.#.#.......#.#..#.##.....#........#...###.###.#.##.#..#....#...#..###.#.#....#.#......##...#.....###....##...#.##.###.##....##..#..###....##..###..#..#.##.#####..#.#.#....#....##...###...##.#.##.#..##......###..##.#.#.#.........##.####...#.......##..#.#..#..##...##..#....###..###...####.#...##...######.#...###.###...#.##...##....###.#...#..#....#..###...#.###.###..##.##...####.#..##.###.#.#...#...########...#..####.#####..###.###.#..........##..##.##.#..#.###.#.#.##.....##.##.##...#.##...#...##.###.#.###.#.#.###.###....#######..#.###....##...##...##.#.##.###.....###......#..#.#.....##.....#..#.......##.###.##..#....#.#.###....###.#....#####...###...##.....##..#.###...#..####.#..#....#...#.##...........#.#..#.##..#..#####..#.#.#.##.##..####..#..#..##....##..#...####.##.#.###.......#....#...##..###..###.....#..#.#...####..##.#.####....#.##.#...#.###...#.##.##.#...#.#..#######.#.#.#####.###.##..#.####......#..######...##...##.#..#..#...#.#..#.###..#.#.###.#.#.#....#.##.#.#..#.#...#...#.#.#.#..##.#.###.###..#######..#.#.###.#.#..#...##.........#....#.#...#...#..#.#...#...#.##.....#.##..##.###..#....##.#.##...####.#####..##..#.##..#.#####...#.##.#.#.#.#...#.###.#.#..###.###....##.#####...####.###..#..###.###.##....##..###.##...##.#.##.#...#.##.###..#..#..#..#...##..###.##...#.##...####.##..#.#.##.#######.###...#....#.#.#..#.#.#.#...#.#...####...##..##.#.##..####.###.#.##.###.##.#.#.###.###..#.##..###...##.#.#########.##..###...#....##..###...####
#.#.#.##.##.###.#.#...##.#....##..#.##.##...#.#.....#..#...#.#.#...#.###....#.#.#.###.#.#....#.#.....#.##...######.####.#.###.##.#..###......###...##......####.##.#.##....#.....#.##.#....#.##...#.#..##.....##...###..#.#.#.####.##..#####.#####..#.###...#.#.#.##..###.#...#####.#.##.#######.#.##.##.#.####..##.##.##....####.##.#..###.#.#....###.##.###..#######.#.###.#.#..#....#...###.#.#....#.#..#...#...#.##...#..#####.##..#..##.##.....###.#..#.#.#..#..###....#.#.#..##.###.####.#..####...#....##..#..###.#.#..#.##.####..#......###.#####.#.#..#..###..#.##.#.#.#.#....#..#..#.#.######.####.######.#.#####..#......######.#...#.##.#..#########.#...###..#.##.....#.#.##.###....##......#.#.#.##.#...###..#.#..#....#######..##..#..#..#.#.##.#.#.#..##...##.##..#....####.##..###.####....#..#..###.#.#.#..#...#....####.#.##..####.###.#####..#.#..#.....##..##..#...###.##...##.#.##.##......##..#.####..##.#.#..#.#.##.##..#.######.#....#.#..##.#..###.#...........#..#..###.##..#..#.#.......##.#.##..##.####.#.#..####.##.#..#......###.##...###.#.######.####..##.##.#.###..#...##..##.###.#...#...##.#.#.#.###.#..#.#.###.#..##.#.####.#.##.#.#...##.......#.#..#.#####..#...###..###..###....#...####.#.##.#.######.##...#...##.#.###...#.######.#.####.#.##.#.#.....####..##..##..##.##..#.#..##..######...###.####.###....#..##.#.###.###..#..#.###...###..#....#.#..#.#.##...#..####.#.###..#..#....#..#..##.###...#..####..####.##..####.##.##.####.#.#####....#.#..#.###.#.#####...#####.#.##..###...#.#..#..####.#####..#..#.##.#.###....#..#..##.##.####..#####.#.##.###...####.#.###.##.###.####.....###...####.##.########.####..###..##.#..#..###..##..#..#.#####..#.#.##.##.#..#.#######......#..####...#..##.###.##..#..###...#..#.####.....#.######..#.###.#..##.........#.#.###..####....#.#.#.##.####.###..#.#####.####.#.##...##..#...##.#..##...##...#.#.##.##.#....###....#........######.....##..#.#.#.#.##...#....##..#.####.##..###.#...#...#...#.###.##.##.##.#.#.##..#.##.#.###.#####..##.#.....###.#.....##...#...#..#..#....
##.#..##...#####.#......###...#####.#.##..##.#....#..##.##.#.#..#..#..##.#......####.#...#..####...##..##...###.##..#......##.####..#.#..###.####.###.####.#....#.#.#.####.#.#..#....#..#.#..#....#...##..#.#..###.#...#...#.#.###.##.#..########.#..#..##.#.#.#.###..######.#....###.#....#.##....###.#...#....#.#.......#.#..#####.##...##.##.##.##.#..#.##.##.##...#...##..#.#######.....##.....#...#..###..##..##.##.##.##..#.#....#.#.....#.#..##..##...###.#...####.....#####..#..#.##..##..#.....##..#.#...#.##.##.####..##.##.#.#..###.#####...#.#.###.#.#####.###.#.##..#.#.#..#....##..#..#.###.##..####......###.#.#........#..##..#.##..#.###....#.#.##..#.##.####.#...#...###....##.#..#.########..#...##.##.....##..##..##..##..###.#.###.......##.##.##..##..#####.##..###.#####...#........#..##.#...#.#..##....##...#.....#.######.#.....#...#..#####...#####.#.#........###..##.#..#.###.######.#...##...##.###...######.#.###.###.###.##.###..##..###..###...#..#####..#..##.#.#.##.#..#.#..##.#...#...#.#.##.#..##.####..##.###.##.#........#...#..#.##.#.....####.#..#.##.##...##.###.#..#..#...#.#..#.##.....#.###.##.#.#.##.#.#....##.#.........#..##..#.#.####.#..#..##.##.#.####..##...###..##.###...#.#...###.......####.##...###.#.##.#.#.#....#...##.###.......#.#.#####..#...###....#..#..#....##.#.....###.##..##......#..##....##..##.#.....##.#..#..#..#.####.#.#.#.##..#.#..#.###.#..#..##.####..####..#............###.#....###.#..#...#..####.##.....#.#.##...#####.#.#.#####...#...#....##..##..#..###.##...#.#.##...####.....##..#.##.#..##...#...##.#####..##.#.###.##.###.#.####..#.###.##...#..##..#.##..##.#..........#.#.###..#..###..###..##....#.##.######..##.#.###....##.####....#.##...####.#.#..#####..##.#......#..##..###..#.##..####...#.#...#..#.#.######.#...#.#.#.#.######.#..##.#.###..#.#..#...##..#.#.##.#..#.#.##.#..#.#.#.##..#.#####....###.....###..##.#..#####.....#..######..##...####.#.#..##.##.....#.#.....#.#.###...######.#.#...#######...#...#.###.....#..##....#.#.......###.##.####.#..#.#..##.#.##...#..
.####..#...#.#.#..###..###....####....#..#.##...##.....#.#...#..#...#..##.#.##...#..#...#.#...##..##....######.#...#..........#..###..##.###...##..#.#..###....#..#.#.###..##...##.###...##.#..####.#...#...#.##.##..##.....##.######...####..####.##.###.###..#..##.###.#.##..#.#......#..#..########.#..####.#.#..###.#..#.....###..#####.##....#.##.###.....##.###....#...#####...#..#..############.##.#..........#####....#.#.....##...##..###.#.#.##.##.###.#####.....###..##.#.##.#.###.#..###.##.###.###.##.#####.#.##.......#.##.##...#.#####.#.#..#..#..##.###..#......#.##..##.#.#####.###..#.###..#.##......#.##.##.##.##.#..##.#.#######.##........#...###.###...#.#####.#......#.#..###..#....#..##..#.....#.....####..#.##..###.##......#....##..##.......###.#.######.####..#..#..#....#.#####.#..###.##..#..#.#.#...####.#.#...######.##.##.##....###..###.#.#.####.##.##.#....#..#.##.#......#.....##....####..#..#.#...#####.#.....#.#.#.#.##..#.##....##...#..###...###....###.#.......#...###.#..#####.####.##.#..#..#....#.##.###..##.##........#.#####....#...##...#..#.###.#..#.#.#..#####.#...#.#......##..#..##.###....#....#.####......##..#.##..#.#..##.#.#.#.##.#.....##.######..#....##..##....#..##..#..##.##.###..#.#....#....#######.#....#...###.#.##...........#.##..#.##...#.####..#.#..###.##.#...#.#.....###.#....#.#.##.#.###....#..#.....##.#.#.##..#...##.###..#.#...##.##..#.##.#.#..#..###.#..#...##.##.##..##..##....#..##...#.#..#.#.....##..##...####.##.##.#.##......#......#..##....####...#..#.#..###.#####....#.###..#.#..###.#.##.#.##.###.#..#####....##.#.##.#..##.##..#.#.#..#.......#.#.#.#...#..#..#.###.##.#.#####.#.#.#.#..#..###.###.#.###.##.....#..###....##..#..#...#.#..#..##.##...##.#.####.#.#.##...#..##.###.#.###########.#.###.##....#..#..##..#....##.#.#.####.##.##.##...#....###..###...##...##..###.###.#.....#.#..#.#####..##..#...###..#..#.##.#.####.#....#.....#.#.#....#..###...#.##.##..#....#.###.#...#....##...##..####.#.###.#..#####..#####....###..#...#.......#.#..#.###..##....####.....#..
#..#...#...#.####...########.#..#..#..##....##.####...#.....####.##..###..#..##..#...#.#.##...#.....##.#..########....#..#...##......###...#.##.##..##.#..#...###..#..#..#.##.#.####.#...#####.####.##.#.....##.#...###....##...######...###.#.#.##.#.#......######.##.#...##.##.#..###...##.#.####.....#..##.#.##.#####....##.#..###.##.#.#.#.#....##.###..#.#..#.#...#########..#...#.##.##.##...#..##..#..#.#........#.#.#...##.#....##..#..#.########..#...##..###......#..##..####...###....#...#...#.#.########...####.#..#####..#.#.##.#.#.#...###..##.##.#..#.#...#..#..####.#.##.###....#.#.####..#####..#..##..####.##...#....####..###.#..#.##..#......#####.#.....##..##.##..###########...#.##.#.##.....#.#.#.########.....##.####.##.####..##..#.#.##.....#.....#####...#.#.##.##...#..#.##.###...#.###.....#####.#####..###..####.###......##.##.#.#.##..#.#.#...#.......#.#.###..####..#.#.#....##.##.....#.##.#.###..##...#.##..#..#.#...###..###.##..####.##..####.##..##.#..#.##.#####.###..####.#####.###..##..#.##.#.#.#.......##..#..#####..#....##..##..##..#..###.#..#.##..#..#.####..##....####.######.#.#.#.#.##.##...#.##########..##..#..#...##..#..#.#..####...#..#######....##.#.#..#.####.#..#.##..####.##..#####.#.#.....#....######..#.##.#..##.##.##...####......###.#.##.####..#.##..#.###########..#..#...#.#.##.#######.##.#.#.##....####...####.###..##..##...##...#..#.###.###.#.##.#...##...##.###...###..#..#...#.#####.#.###.###.#..###..####.....#..#.##....##...####.#..###.####..#...##.#.##........#.##...#####.###.#.#.####..#####...###.##..##..#..#.###.########.#....#.##........##....##.###..##.####.##...#.##.####.#...#...###....##..##..####.###.##..###.##...#.#..##....#.....#.#..#...##.....#.#...#.##.#.#.##...###......##.......##.##......#.##..#..#.#....#..#..#..###...###.#.#....#######.....#..#####.#.##..##.###.##....#...##..#.#####....##...###.....#..####.#.#..##.###....#.##.###.#.#.#..###.#..#.....####....##...#.#....###.#.#.#.#.##....#..########..##.###.#.##.##.##...##...##.#...#.#.....###..#..
#..#.#####...#.###.#...###..##...##.#.#.#...#.#....##..#..##...##....###..##.###..##.#....##.#.#..#..##...#.#.##..###.##...#..#..#.#..#..#.#.#.....##.....####..##...##.#.#....####....##.#.##.#.##..######.###.#.##.......##..##.#..#.##...#.#...#....#..##.#....#.#.#..##....#.###.#.###..##.####.......#.####..#....#.####.#..##..##.#.#...##.##...##..#..#.#.####..##.###..####..#...#..#..#..#.........#.#.###..#.#..#.#...#...##...###.#..#.##.#...#.#...###.#.#...#.#....##.###.#..#...##.###.#....##.#..####.##..##..##.#...##.##.....##.#.##..#.##..#.#.####.......#####.####..##...##..##....##.#....####.#...#.##...######.#..#.#.##.....##.#.#...###.#.#.##.#..#..#.####..##.#..##.#.##.#...#.#.###....####.##.#.######..#########..#..#.##.#.#..#.##...#####...#....####.#..#.#.#.###..###.#...#..##.....##.#...#.##..#..##..####..#.#...##..#.##.##...#..######.##.#..#####.#.#.##...##..##...##...####.#.##..###.#.#.#........#.#.....#.####..##.###.##..##.#.##.#.##.##..###.#.#.##.##..#.##.##..##..####.##.##....#.#..##..###...#..###..##.#...###..##....#..#.####..##...##....###.####.#.#.##.###.##.###...##....#.#.#.##.##.###..######.##...#.##.#..##.##.##..#.##.....##..#...######.##..##..##..##.#...##..#...###...##..####.##....##.#######.#.##.####........###.##.#.##...######...#.#...###.#.##.......#..#.#....##.#.#.###.##...#.##.#.#.######..##....###.....#.##.#..#######...#.##.#..#.#.#.##...#.##.#....######.#...###...#.#.......#..######........####...#..##....##..##.#...#....##.......####..#...#...##.###....#.#...###.#..##..#...##..#.##.#...#.##..#.#...####..###.#..#...######...#.##.##....##.##.##...#####...#.###..######.....#.##.#...##...#####.#..####..#.....#..##..##..###.##.#####..#.#.#...#..#...#.##.#.###.....#...#.#..#...#.##.###.#.#........#.###.#....#.#..#...####.###.#.#...###.#.#.....####....#.#.##...#.##...##.##....###..##..#...........##.#.##.###.#####.#..#.##.##.##..#.###.#.###.#######..#.#.#.....#..#.##...#.#.####.###.##.#.#.#.#.#.#####.....#....####..##.#..#..###.###....###..#.########..#
##.####..##.###.##..##.###..##.#.#..##....##....#..#..#...#..###....#.#####.########..#.#.##..####..#..###.#####...##....####..###...#.###..#...#.##...#.####..##.#.#.#.##.....###.###.#..#.#.##.#.#.....#####........###.###...##..#####.#..###....#..#.####.#.###..###.##...#...#..#.#####..#.##.###.##.#....#.####....#.####..#..###...#.###.######..#####.##.##..###...#.##.##..#..###.#..###..#.#.#.###...#.##.#...####..#..#.....#..#.#.####..##.##...#.#.....##..#.##..#.###.##.##.###..#.....##..#....#.#.####..#..###.#####.##.#.#.#......######.#.....##..##..####..####.#.#####.####..###.###.#....#.#.#....#...#..#.####..####.#.#...###.#########...#####...#.###.#..#.##.##.###.###.#.#..#..#.#.######.#..####.##.####..######.##.#..#.#.#....#..###.##...##..##.....####...#..##.###...#..#####...#....#..##.##....#.##.#####.###..#..##.#......#.####...#..#..#.....#....###....#..#....#.###..#..#..#.########.###...#...#.###.#.#.#..##..#..#.###.#######..###..##.#...#.#...#..#.#....#....#......#....###.#.###..#.###.#..#.####..#.###..##.....#....#........#####.....#.###.#..######.#.##.###.#...##.#...##.###..####...##.#.#..#.#....#.#.###..#...##.#..##.####.#..#......#.....#.#...#..#.#.##.###.###.#.##.#.#.#.#..##..#...##.#.##.##..#.#.....#.#.#.....##...#..##..#.#...###..#..#..###....###.......#.....#.#....#...###...##...#..#.#####.####......##.####.#.##.#..#....#######...#..##.#.#####....###....####.......#..##.#.####..###.##..#.###..#..#.#.#...###..####..###.....###.#...#########.##.#..#....#.#...#...#.....###..#.##..####.#..##.#.##..##.#.##....#......##..###........#.##.#..#.#..#.###.#....##...###...#..######..##..#.........#..##.#.##...#...##..#..####....##..#.##.##.#.##.##.#..##.#.#..###.#.##....#..#....#####.###.#..#.##...#.#..##.#..##..####.###.#.##...####..##.#.##...###........##.##..##..##.#.#.##.#..#..#.#.#..#.####.##.#...####.#.###......##.#.##.##.##..###......#.#....#.#.#..######..######...##.#.####.#...#..#..#..##.#.##..###..###...###...#####.##.#..####..######.#...##.#..##.#.#..##...
##..#####.....##.#####.#.##.####.##.....#.#.##.####..#.#..#....#...#..#..##.#..#.##.#..#..#.###...##..###.##...##.#.#....########...########...#.####.##..###.#######...#######..#.####.#...#....##.##.##..#.###.#...##.#.#.#.#.##.##..........#.##.#....###...#...##.##.#....#.#.#.....##..#.##.#....##########..###...#..##.#...#..##.##.##.#..####....###.#.##...##.#.#..#############..#.#..#.#.##.###...#.##..#####..##..#..#.#.#..##..####..####...#.#####..#.#.#...#.#######.##.#####.#.##..#####.#######.#......#.#.#.....##.#...##...#.##.#..##.#.##...##.....##..#######..#.####..#...#..##.#.....#..###.#.#..#..#.####.#.#.##.#######....###...##.#.#####.##.#.##.#...#######.##..#.#..#.######..####.#..##.#...#.#..#####..###...##..##.####..###.......#.####..########.#..####...##..###.##..#.#..##..##..#####.#......###..#.##....##....#.#...#..#.#...###..#..#######..########.#####.##.....##.#..##....##.#.###...#.#.##.###.##.#.#...##..###.#.###..###......#.##...##....#.#......###..#.##..##.##.#.#.##..#..#..##..##.####.##.#..#..#####..###.#.#.###....##.#.###.#.###.#.####..####...######.#.#...##.........#.##...###.##..#...#.##.#...#####..#.##.##.#..#.###..##.######.#......#####.#..#.....#..........#.......#..##.#.#####.####..##..##.#...#.#.#..#....#...###.#..#.##.#.##...#..####..#..#..#..#######..###.#.#...######..#..####.#.##.##.#...#...####.#..##..#.#..####.#..#######..###.#..##.#....###.#.....#..#.......#.#...#.##..##.#####..#.#..##...########..###########...##.#.#.###......##.........##....#..##...##..###.#..###.###..###..#.######.##.##....###........#.....###.#....#.#.#...##..#..####..##.#..#..#.##.#..#...####...######.#.####.##.#####....##.##..##..#.....#.###...###.#####.......#.#.#..#..#.##...#.###.#..#.#..#.###.##....#.#..#..####...###.#.###..#..###.....#..#.##..#.##.#.###.#####.##.###..#.###.#...#..#.#.#.#.#.....###.#.#..###.#.#.####....###..##.##.#####.##.##..##.##.##..###..###.###.#...##......#.######.#.####..###..#...##.....#...###.....#####....####...##.##..###..##...#...#.#..#.
#...##.#.######...#.#....##.###...#####.#.#..#.#..#..#...###.#..#.#.#..#.###.###.#..#...####..#.##.#.##....#.....####......#...#.#.###..#####..##..#.###..##..####.#..#..#.##..###..##...#...#######.#....##.#.#####..#.#.###.#####.##..##.####..#####....##...#.#.#.###..##..#..#.#######.#...#..##..#...####...#.#.#.###.#..####.####.#..##.#.#..#....#.###.###...#.#.##....##..#..#.####.###.##.###..#####...##.##.###..##.#####.##..#..#.#.####.#...####.#..#.##..#.####.#.....#.....#.#.##.#...#....#...###.##..##.###..##.......##..#....##..#..#..#..#..##.#.####.##..#.##...#.#...##.##.##..##.#..###.#####...####.#....#..#.###...##..#..#####.##.###.#.##...###...#.#####.#..###...#####....#.#.#####...#..###.###.....#..#.##.#..#...#####.#...###....###.#..##.##...##.##.##.#.#.##...##.##.###.##.##..#...#.#.#######..##.##...##.##.....#..#...#...##.#.#.#.####.#.....#.#..##..##..#....#...###..###..#.#....##.#.#..##..####...#...###.###...####....#.#..####..##..##..####..####.##.#..##.####..##..#.##.#.#.#######...#####.#.....#....##..#..#..##.#..###.#.#.####..##..#.###..##.##.....##.##.#....#.#...#####.#.##.#...######....#...###.###.#.###.....##..#.####.#.##...#.##.#.#...###...#.....##..####.##........#.#.##.###.#..#...##..##.#.###..#.#..#..#.#..###..####.#.#.#..#..#.....##..#..#####...###..####.#...#...#.#.###.#.#.#..#...#....#.###....#........###.##..######..##.#.##..#......#####.##.##.####.....#.##..#.##..#.###.##.#.##...###..##...##.......#..#.##..#..##..####..##.#.#.#...##....#..#...#.#.###.###.#.###.##..#.#...#..##...#..#.#.#####.#####..#..####..##.####.#.#.####.#..#..##..#...##..#.##.###.....#.##.###....#.#...##.####....#....#..#..#.#####.##..#.##.#.##.#..#.##.####.###.#.#.#.#......##..##..#..#...##......###.###....##.....##.#.#.##.......###.#.#.##.####..#..#....###.###.#.#..####.###...#..##.###.##.##.##......#.##.......#..#.###.#...#.....#..#.####...##.#..##..##.#.#..#.##..##.##...#.##..#..##.#...#.#...###.##.###.##.###.......##.....#......##..###.#..##.#.#...#..##.#.##.#.#..#.#....#..
..#..###....#.#.#..#.#.#......###..#....#..#...#.#######...##.##.#.##.#.###.#..##.#...##..#.#.#.##.#..#.##.#.####..#...####...#....##.#.#.##..#....####.#...##.####..####.##...#...#.#...##..###..#.###.##..#....#..#...#..#.....#####..#.#.#.###...#.######..##.####....###.##..###...##.#.........###.####.##.#..####....#.#.#.##.###..##.#..##.#####.###.#..#.#...#..#.#...##...##.#.#.##..##.#...###.#..######.#.##...######..#..##.###....#.#.###.##.#.####.####.#........#.......#..###..##.#..#...#.####.##.#.#.#.#.#######.#.....#####..##..##.###...#.##.#..#....#..####.##...###.##.#.#.##...#########.###.#.###..##.###.#.#...###.##..##...#.####.#.##....###..#.###.#........##.##..##....####..#....#.##..######...#####.##.#.##....#...####.##.##.#..##...###.###..###...###.#..#.##.#...#.##....#..#..####...##......#..##.#...#.#####..###.###.#...#..#..##...##.##....#..##...##...#.###....##......##...#...######..####.##...##..#.#.#..#...........####..############......#..###.#..#...#.###.###.#.#..##..###...###...##.....#..#.###..#...###.#.#..####.###.###.##.#.#.##.....#.#...#....#...#.##.###.#..#...###.#..##...#.#.#####.#.#.##....###.##..#########.#.#.#.###.##..#.#.....#######...##.##.#.###....###.#..##..#...#...####...#........##..#.#..##..##.#.#.#..#.####..####..#.#.#..#.#.##..###.##.######.#..#.......#...##....##.#.#.###.#..####.#...###..##......####..#..##.###.#.##.##.....#######...#####..###.#...##..##.##..........#..####..#.##.#.########.###.##....###.#.#...#..#..######.##.##..#....#..#.####.#####.#...####.#......#..##....#.####.##.#..##.......#.#.###..#.##.#####....####...........#.#..###..##.###.#..#..##..###.#..#..###....######.##.#...##...#.##...#..#.#.##.#.####.#..########...#.#..#.#....#.#.##..#..###...#.###.#########.##...###..#...#.#..#.#..###.###.##..###..#.#####.#.####..####..##.##.#..#.#.##....#.........#.###...##.#####.###...#.#..###.###.#.#.###..##..#.#....##.#...###..#.#..##...##.###.#..#...###.#.#.##...#.#..####.#..#......##..##.#######.#.######..#.#####...#.#...#...##
.#.#####.##.###..####.##...#.#...#.##....#...#...#...#.#...#.##.###..##....#.#.#..#.##..####..##..#.###...#.#.#...#.#.###..#..####...#...#.##.....#...#.#.##..#.#..#....#.##..#....#.##.#.##.#....##.###.#.###....#####.#.##....#.#..###...#.###.#..#.###.##...##..##.#.#.#.#.###...####...##...##..###.###.#.###..#.#######.#####.###..#.#.#.##....#...##..###..##.#.#..###.#....##..#...#..###..##.....##..#....##...#..#.#.##.#.##...#.#..##..#.##..#........##......###.###.###.....#..##.####..#..##.....###...###.#.##...###.###..###..#.#.#.#...#.###.###.....#..#####.##.#.###...#...##..#.#.##...##.###..###.#.#...#...#.##...#....#.##...#.#.#.#.#....##.####.#.##.#.###.####...######.###.#.###.######...#.....#.####...#.#.#.##....#.#.#.#####.##..###.###.#.....##.#.......##..#.#.##.#.#..##..###.##.##.#.##..#.##.##.#.##..#.#....##.#..##.#.#..#.#..#......##....#.#.##.#.#..###.#...###.#.#.......#.##.....#.##.#.####...#..#..##.####.#.###.###.#....#.##..#.##..###.####.##.####.#...#.#.#.#.#..#.##..###..#..#.########.#..#.#####.#.#.##.###.###.###..#.#.#.##.#.##.###.###.#.###........#.#....###.###....###.#######..##.##.##..##.....##...#.#####...#.##.####..#.#...#.#.###...##....#.###.#.##..#....#.#..#.##..#..#..##.##......##.###....#.#..###..#..#.###.....#.#..##.##.##.#.#.##...##....###.#.##...###..##..##.##....#.#...##.###........##..#.#...#..##.#...###..##.##........##..#.#.#......#.#..#.###..##.#...####...#.#..#.#.#..###.....#..#...#.....#..#.#.####..##.#...##.#......###.##..###..#.##...##.#.#..##..#.#...##..#######..##..####..#.####......#####.#.##.##.#..#...##..##....#..##.#....##.#.##.###....#.....#.#..########..#...#.#...##...#...#.........##..###..##...#..#.............###.#....#..####.##.###.#..#....######.#..#.##.###.#.#....######.####..###..###.##.#.#.#.#.#...#.#..####.####.......##.#.#.###..#.#..#..##....#..#..#.#.###..#.##...######....##.#.##..###..##.....#...#..#####.....##....#.#.#...#.###..#..#..#.#....#...#.##.#..#.###.#.##.##...###.....#.#..###....#..##..####.#..###....#.###.##.
#.#####.####.#.#.......#..#.##..#.#.#.###..###..##.#...##....#.#..#..##..##..#.#.#.#..#####....#...####..##....#....#.#.###.#..#....###.#####..##......#...#####..##.##..#......#.#.#....#.######.#..##.#..##.#.#...####...##...#.#..#..##..##.#..###.##..##..###...#...#####...###..#..#...#.##.#######.####...####.##..######...###.##.########..#...##..#.#.#....#.#....##....#..#.....##..#...###.##..####....######......###.##.##.##...##.##..#..#.###.##.#..##..#.###....#.....##.#...#...#.#...##...###.###.######.#..#..#.#####..###..#.#.....##..#...##...#....#..#.###..#.#...#.####...#.#..####...##.#....##..#.#.#..#.##...#.....##.##.#.##.#.#.##.#.#.##.##.#..#.#...##....###....#####.....#...##.##.##.#.###...#..##.#########.....#..##..#...#.###......##...#.##.....#..........#.#.#..##....##..##.#.#.#.####...#.##.###....##..#.#.....##.##...#.#.....#..###.#.##.#.#..###..##.#.####...#.#..#.##.###.#.####.#####.##..####.###...#####.#.####..####.###.##......##...##....##....#....##.#.###..##.#....##.#....#.#...##...###..#####.##.##.###.##.#...###..###.##.##.....#.#..#.##....###.###..#..#..####..#..#..#.#..#.##....#.#.#.#.##....#....#.###..........#.##.#..#...#.#...###.#.#..#........#.##.###.#.##.##...#.#.#.##....##..##.#.#..#..##.#..##.##.#.#######...#.#...##..#...#.###.#...#.#.#.##.##.#.#...#...#.#.####.#...##.#..#.#...#.##.#...##.##.#.##..###..##..###.#####.#.#....##..####.#.##.##.....###..###.##.#..##.#..#....##.#.#.#.#......#####..###.#..###.....###.##..#..###...##.#.#...##..###..##.###......###..###.##.#...##.###..#.#..##....#.###.#.##....##..#...#####.##....##.####..###.###.#.##.##.#.....##.......##.##.......###.###.#..##..##...##.#.....#.#..#...#.##..#####..##.#..####.##.#.#.#...#..#.#....#...####..###.#.##.#..#...##.##.#....##..#####.#...#.###.##.#.######..#.#.##...##..#...###..#....##....#.#.###.#.#..###.#..###..##..#..####.###...#......##.#.#.#.......#.#.#..##.###...#.##.#..#....##...##.#..#.##..#..###..####...#...##.#.#.##.##..####.#####..#.#.#.##.#.##..#.......######...#.###.
##.####.#...####..#.##..##.#.#.###..#..#.#.##.#....##...#..##..#...#..###.###.#####..####.######.#.####.####.##.##.#.###....###.#..#..##.##...#####.....##...##.#.##..#.#.#..###.......#.##.##..#....##.#...#.#####.##....###....##..#..#.#.#....#...#.#.....#.#.##..###.#.#.##...#....#.#...#####.#.#.#.##.#....##.#..#...#.....#.#.###.#..##...#..#####.##.##..#######.#...##.#.#...#####..#.###.#....##.#.##..#....#####.##.#.#..#.#..##.#####.##.#####..#####.##...##..#..#....##...#......#.#...##..###.########.#...###....#.###...#.###.....##.#...#..##..#..#.....#...##.#...###.####.##..###.##......#.#..#.#######...##.#.#.#..###.#......#.#..#..#..##.###..##.###..##.#.##.#..#.##.#.##...##...##.#..#...#####.##..##.#.##############...#.#...###.#..#.#..#####...######.##..#.#.##..#...#.#..#.######.###.#.###.#....##....##.###.##....#..#..######.#.#..###.######.##.#.#..#.##.#..##.#...######..#.##.##..######.#########...#.########.###..########.#..#.#.#.######.#..##...#..#.#...#####.#...#.####..#...#...#.#.##..######....#..###...#.#.####.####..#.#.###...##.###...#.#..##.##.......#...###.##...##..#.##.#...###.#.#.###.#..#..##.##.#.####......#.###..##.#####.#.#.####.#.....#.#....#.#..#..#.#.##....#.###.#...#.#####..#......###.##.##.############..#..##....#..#.#.##...#..#.##.....#....#..#....###.....###..##.####.....##.#..#..##......#..#.#####.###.....#........#.#..###.###.#..####.####.##..#.#..###.#.######.###..##..##.#.#.#.#...##..##...##.........#.#.#..#.#####.##..#....#.###.#...#.#..#..#..#..#..#...#.#..#.....#.###.###....#.#.###.#.##.##.####.#.####.######.#...##.#..##.#.######.##..######..####.#..#...#.######...##..##...##..#.#..#.#.####.##...########..####..#.######....#.###.#####...#####.#.#.##.###..#..#...#..#.##.##.###..##..#.###.##.####.....#..##.#...#########.#......#.##...#.##.#.####.#.#....##.##.###.#....#.####..#..#.#.#....##..##.##.#.#....###.#.#.##.#....#...#....#...###....#..#....#.#.###......#.##.##.##.#....#####.#..#....##.#.#.##....##..###.#...#....###.#..#...##.#.####....
.#.##.#......##...###.#.#..#...##.##.#..#.##....##..#.#..#.#...#.#.##.##.##.....#..#.###.#.#.#..##..##.#...#...#.#........####....#.##.##....####....###..########.#..#..#....#.......#.######...#...####.#..##....###....#.#.###.#...#..#..###.###....##.#.#..#...##...#..#.#...##.##..##.#..###..#.###.....#.###.#.###.#...##..#.##.#....##..#.##..#....#..##.#..##...##..#####.#.#......##.##.########..###.#.##...#..###..##..##..#.##...######....#....###...#.#.##.###......###..#...#...#.#.##.##.#.....#...#.#.#.#..##.####.#.#######...#........#..#.##.####..#.##..#.##..##.#.#.###.##.###..##.#.######.######..##.#..##..#.##.#...#...#.#.###...#.###.######.#...#..##..#.#.#...##.#..###...##.....#..#####..##.#...###...####..#..#..#####..#....##...#.#..#.####...#..#...#.##..#..#.....#..##..#.#.#.#.###.#.##.#####........###.###....#.###...#.#.#..#####......###..##..##.##.#....#.#....#...#..#..#.#..#.##.#.###.##.##.#..##.####.#.#.#####.#.##.#.###...#..#...###.........#....#.#...#...#.#..#...##..#.##..###..#...#..#.#....#.....#.##....#..#######.###..###.##..#..#.#..##..#.###..#.#.##....#.#.#.##.##.#.#.##..##..##..#..#.#......####.#..#....#...#.##.#..###....#.###.#..##.##.#...######..##..#.###.####....#..##..####...#.###.#...####...#.#.##..##.#..#.#.#..###...#..###...#.#...##..#..####...#...##..#.##..#..#...##.##.#.#.#..#.##.#.#..#...#.##..#.#..#.#..#.###.##..#...###..#....#.#..#.##.#.#...####.##.#..#.#.###..###.#......#...#####.##..#...##.##.##.##..#.##....###..#.######.#....#..#..####..##....##.##.#...###.##...#..###..#.#...##.##.##.#.#.#.##.###....#.#...##..####..#.#.####....###..#.####....#....####......#####.##..#..##..#..##.#####..#..####..###.##....#..#...#...#...#..#...#...#..##.##.###..##..##...#..#.#.##.###.##..##..#.###.###.#.###...#####..#....#.#..#..##.#....#...##....###...######.##..#...#.#.##.#..#.....#....####.###...#...##...#.#.###.#.#..#..####....##.#.#..#...##.#...#.#.##.####..####.#.#..##..#.#..##.###.#####....#..#...#.#....###.#.#.#.#.#....#....#.#..#.......#####.....#
.......#...###...##....##..#..#.#####.###.##.###..#..##....#.####....#.#..####.########..#..###..#....#.#..#.###.#...#...#####.#...###.#.#.#......##.#.#####..###....##..#.##.#..#..##.#.##...#.##..#..####..#....##.#...#..#.#.######...##.#.#######..#...####.#...#.....#####.....####.#.##.##...#.####..##..#####..#.....##.#.#...#.####....###..###.......###...###.#...#.##..#####........#.###...###.###..#.#.#.#...#.###########.#.#...#.#.##...###.########.#...##.###..#.#..#...##...#.##.##..###.##....#.##.##....#.#.#.####..##.##.#..#.##....###.#.#.#.##..#...##.#######.#.....#.####..#.#.##...#..##.##.#....#.#...#.###.#..###.#.#####.#..#######.#..#....###..#.###.#..#.#.#.###...#.#...#....##..#.#..#.#.#..#..#........##.##..####.#.#.######..#.#....#.######...#..#....###..#..######.##.###.###.#..#..####.#.#..#.####.#...#.#.....#..#.##......###..#.##..#..##.#.#..#....###..#######.#..##.##.#...#..#..#.##...##.....#...##.###..#..#....####..####.#.#.#..###.#.#.#####...#.#.#.#....#..##.####.#.#.#.#.....#####..#......##....##....#..#.#.....#.##.#...#......###.#.##.###.#.#.#.##..##.#..###.#.#####..####....####.#####.####..#.#.##..#.#.#..#.##.##.#.#.##...####...##.######..#.##..#.....#..##...#.#..####..##.#..#..#.#..##.##..#..#.#.####..#.....#####.#...#...#########..##..#.#.####...#......#..#.###...#...#.###..#.#.##..#...#.####....#.#.#####.#...##..#..##..#.##..#...###.#.#.###.....##....#.##.....#.##..##.#######.#....####..#..#.....#####.#..#.##...####...#.#.##.#.....#....##.####.#...###..#.#.....#.##.##...#.##....#..#.##.####..#..####..#.#.###....####..##.#.##.#..##.#.##.#.#.....######.##...#..#######..#######.#.##....##.#.#.#.##..##.##..###...#######..#.#.#.#.###...###..#.##.#...#....##.###.#..#.###.#..##.#.##.##..#.....#.#...#..##.....#.###....##.##.##...#.##...###....#..#..#.##.###..####.##..#.#..##.####..........##.#.#.....#...######....#..#...#..###.....#.######..###...###..#..##..####.##...##......#.##..#.#####...#...##.....#..##.##.#...##...##..#####...#####.#.#.#..##....##.#.###
#.......#.#..#.##.#..##.#.#.##.##.##..##.######..##....#..##.#.##.####..#.##..#....#.#.###.#.##.#...########.###..#..#.#.##.#.#####.....##..#..#.#.#####.#.#.#####.#..###....#..###..##.########.##....#.#...#...#...#.#....####...#.###..##.###.##.##......#.#..#####.###.#..##.#.###.#########.....#.##..#..#.#.#..#..#....############.##..######.##.#.###.###.##....###.##..#.#####.######.#.#.....#..#.####......####..#.#...#..#...##..##.##...#.####.#..####.#####.##.####.##.#.####.#..##.#..#..#......#..#.#..#..##..###.#.###........###...#......####.#.#.#.##..####...##.###...#.##...#..###.#.#####...####.###.##....#...##.....#..##.###..##...##.#..#.###.#.##..##.........#.#.#.##...##.#....##.##.....#####.#..###...####.##.#..#####.#..##.##...#.#.###....#.###.##.####.##.#####.#....###.#.#.#....###..#.##.########..#.########.#....#.#.#.#.##..###.###.#...###......#...##.##..#.#..###...#.##.##....#....#.#.#.....#.####..##.#.##..#..##.#.#.#####.####.#.#####.###.#....#...#..#.##...#...##..##.#.######.###..####.#.#..#.####........#...#.#....###.##.###..#.#..#.####.#..#....####.#.#.##.##.#######.#.#.#.#.###..#..#.######....#.#.#.##....##.#.#...##.#....##.#.#...#.###....#.....##.#.#.##.#.#####.##.####.#.##....#..#...##...####.#..##.#..#.##########..#..####.#..#..#..#####.#.##..##..#.###.##..#....#.###.##.####.#.####.#..#..####..#.##.####....#..#.#.#.##.....#.##.#..#..#.#.#.#..##.##.#..#.##..#..##.##...##.##..##..##.##....#.#..##.#......#..###..#.#..#.#.######..###..#..#.#####.##..#..#........#.#...####.##.#.##..####.....#.#..#..#.#...####.#.#.#.#..###.#.#..#...#.#.####.##...###.##.#.##...##.#.#.###..##.###..##.#.#.##....#....#####...##......#..#.##...##.##.#..#.#.#..###.#....#..#...#####...##..##.#.####.....###....##...#...###.##.......#.#####.#..#.######...####..#...###.###.##..####..#####..#.#..#.##.#..#...#...#.#..##.######.#..###.##.#.####.....##.##.#...##.##.#.#.###.......##.#..###.#..##.#....##..###.#####.#.#...###.###....#.###..#..##.#.###.###.#.#.###.......#..#.#.#..#....##.....##
###.##..#.######.#...#.#.#...#.####.##..#...#.###..##..##.#...#####.####.#.###.#.#.###.##...##.#....##..#..#.#...###.###....#.#.###.##..#####..##.#..#....#..###.#.#.#####...##.####.##.....#####...##..#..##.####..#..####.#....#..#...#..#..#.........##...####.#..#######..#....#.......##.##...#.#.#......#.#..#.##.#...#.#..#...#######..####.#.......#..#..#####.##..#..#.##.###..##.#..#.#.#...#..#.#.#.#.#.##..#.####.#.##..####.###.#....###.#####.#####..##.....#.####.#.##.#.#..###...###....#...#...#.#######.#.#....#...##.#..###.##.##.#....#.###...#..#####.#.##....######..#.#.###.###...##.##.#######.##..#.####...##...#####.##.##......#.#....##.###..#..###.##....#....##..##.#.#.###....#.#..######....#..##..###..#.#.....##...###.####.####..#.....##..#..#.....##.##.#..###.#....###.##.##..###.##.#.#.##..###...##.#.###..##..#.#####.###.##.#.###.##.#.#.##.#..######......#.###.##..####...##...#.#.#.##.#.###.#.##....##.#.#...#####..#.##..##.#.####...###.##.##.####.#.#...#...#.##.#.##.####..#####.##..#.#.........#..#.###....##.#...#.#..###..#.#..#..##.####.....#..#..#..##.##..######.#.#.#.##..#####..##.....##.#..##..#...####.##.#####.#..#...#..#######...##.#.#..##.##.#..#...#..##.###..#####.#....#######.###.########.#.#.#.#.#.#.#....#######...#...##.#....##.#.#.####..#######.#...#..#.#..##..####.##.#..##..##..#..######.#.#...#.#..#..#.#.###...#.#..##...##.#..##..###.##...#.##.####...###.####.##.#....#.......###.#...#.#..##.#..#.#.#####..####...##..#...#.#.#..###.##.....#...#.#...#.....#......#.#######..#.....#....###...#.....##.##...#.#.#...###.#.#..#......##....#.##.#....#.#.#.####.#..#..##...##...###..#......##.........#####.#...###.#..##..#.#.##.#...#.##....#.#........##.##.#.###....#..#####...#...#..#..#..#.....##.#.####.#..#..#.####...##..#...####...##..#....###..##......#.#..#.##.#.#.#####.###..#.#.#..###..###.....#..#...#.##.#.###..#.####..##.###.####.##.#.#..#..###.###.#...##.##...#.###....#..##.##.######...#.##...##...##....#....##.##...##..........###.###.##.##.#.##..#..#.
###.##..###.....#..##..#..###..###.###.#...##.#.###..#.#...##..###..#####.##.######..#...##..#.#..#..#.#....#..###.###.##....#...##.........#..##.#..#.##.......#..###..#..#.##..#..##..#.#...#..#.#...##.##.#.######...#..#.#####...#.####.##.####....##.#...#####...#####...#..##.###.#.....###...#...###.#....##.....#....####..###...##.####.##.####....##.##...##....#.##.#...#########..###.#.....#.##..#.#.##.#.##..#.#.#.###.#.##.#......##.##....#..##.#...#.#.##....##...#.#.#..#.#..#..####....#.......##.##.##.#....#.###..#.###...#.##...#.####.##..####..######.#..#.##.##....#####...###....####.##..###.####.##..####.#...###.....#..#...#.##.#.#..#####.#.....#..##..#..#....##..##.#.######......#.#####..#..#..#.#...#.#.#####..####..#.#.#.#...##.##.###..#..#..###.......#...##...####..#....###..#.#.###.######....#......##.##..#.#..#...#....#..#.#.....#....#...##.####.####.#..#..#..#####...#...#....#..###..##..##.###..#.##..##.###..#.##...#.##.##..#.#..#.#.#..#.######.#...#.###.....####..#....#.#.#.#.......##..##.##..#..#...#...###.#.##.##...##..##...######.#.####...#...##.##.....#.#..#..##..####.###.###.#.###..##......#..#....#.###..#####.###.#..#..##.#.####.#...#.#....#..#.##...#.##...######..###...###.#####....#.#..#.#..##.#.#.#...#......#####..###.##...##.#.#.#....#..##.###.####..#.#.......#..#.#.##..#.##.#....#######....##.#####..#.###.#.#...#..#..##..#..###.####..#.##.####..#....######.##..#..#.#####.####..#...#####..#..##.#.###.#####...#.##..#.#####....#...##...#.#....#....##.###........#####.#.###........#..###.#.#.#..#.###.#.####.#.##..####.#..##..###..#.#.#...##.#..#.#...##.#......####.########..##......##.....###...##..#..#..#.#.#.#.....#....##...#...#####......#.####.###.#..#..##.#.###.#.#.#..##..##.###.##.###..##....#.##.##..#.....###.#...#..#.#.##.#..###.##.##.##..#...##....#.#...#..#..##...#...##...#...##.#.##..###.#.#..####...##....##......#.####.#...#..............#..#..#..#....##..###...####..##..#.#...#####.........####.......#######.###....#.#####.#.###.#.....##
#...#.##..###.....#...#..##.#..###......#.#.###..#..#.####..##.##.#..#..#...##.#####.##...#..#..##..#...##..##.........#...##.##..#..#...#..###.#.#..#.##.##..###.#.##.##......#...#..#...#...#.##.#..#...##...#...#.##..#...##.####...#..#...###.#...###...####.##.#....##.#..##.#...#.#.###.##.....#.....#...#..#.....##.#.#.##.#.#...####.#.#.########..###.###.#...##.#.#.##...###..#....##.###...#..#..#.#.##.##..##.#.#.#..##..#..##..#..#.##...##..###....###.#.######.##.##.#....#....###..#.###.##.##.#...##....#.#.###.###.###.#.#.......#.###...#####.###.##..######.###.#.#.##..##.......###.##....#######..#.###..###..##.####.#.##.##...##.##.##.#..#.#..#.####.##...###..#.##..###...#.#....#...#.####.######....#..#.##.#.#.#.#.###.#.##.#.#.##.#####.....##...####.#...#####..#.#######..#####..###.####.###.###.###.....#...........###.####..#####..##..##.#.####.##.####..#.####.#..###...###.#####.#.#.#.###...###..##..###.###.#.#.#.........##.##..#..#..#####.####..##...##.###.######..##...#..###..####.#....#####.#.#...#####.##....#.#..##...###.##...##.#...#.##..####..#.....#.#.############....#.##.#.##..###...#.####.####.#....#.##..#.###.##....##.#####......#.##..#.######.##..#..##...##.#..###.######.#...#.##.#.###.#..##.#####.......#.#.###.###.##..#####....##.#..######..##...#.##..##..##..###....#..#..#.##.###...##..#..#.##..########.##..#.#.#......#..#.#.#..#..#.#.##.#.###.#...#.#####...###.#.#.####..#####.#....##.###.###....#.....###..##..........##########..#.#.##.#....#######...#..##.#...##.#..#######...###....#.#...#.##..#.###....##.#####...#.##...##.#..#...#.####.#....#.###..##.#.####....#..##.....#.......#.##.###...##...###.#..#....##..#.##.#.#.#...#..#.....#.##.#....###.###....#.#...#.#....#.##..#...#.#.#..#.......##..#..######...#.#..#..#.#.#.###...#.....####...##.#.#.#.#..##.######.#..#.#.#..#......##.####.#.##....#..#...#......###.....#..####.#..#####......#....###....###.#....######.####...#...#.#.#..#..#.##.##.##.##.##.####.###.#.#....##.##...#...#..##.#####.####.###.#..##..
##.......##.#.#.##....##.#..##...###.##...#.######...#.###..#.###...#.#.#.##....#...###.#..#####.##..##..##..#...##..#..#####..##.#....###.#....####....#.....#.#.#...###..#.#..####...#####..######....##.....##..##.#..#.#..#.##.#..##..###.#..##......#.#######..#..#.###......##...###.#..#####.######..#####.#.#.###..#.###.###.#..###..#.##.##.###..#.#..####..##.###.#..#..#....###.###.##.####.##.....#.#....#.#..#####.###.####..##.#..#.#.#..##..##..#..#..##.#.###....#.#.##.#####.##...##...#.#####.##..##.####..#...#.#..##...###..##.#.#####.#####.#..##.##.#..#...##.##.#....#...#.###..#...##.####..#.##...#.#..###.#..#####..#..#.##.##..##........#...#.#.##.#######..##...######.#..####..#.......#..###.#...#...#.#...#..##......##.###.####.#.#.##.#...#..#####...####..####.##....#.##...#.###...##...##.##.#....#..#.#.#.#.#.#.#.#..#.##..#.###...#.####.##..#.##..###.##.##.#..##.#..#...#..##.#.###########.#.###.#.###....##.######.##..##.#.####..#.#.#..##.#.##.##..###.#..##.......#.##.#.##.....#....####..#.###..#.#.##..##.#....#.#.####..#.###.##..##.#.#.#.##.######.##..........#...#.#.##..#.##.#.#.##...##..#.#....##.......#..#.....#.#.#..######.#.#.#..#.#..#..##.#.#.#..#..##.#.....###..####.#......###...#.#..#.###..#..#.##..#.#.#.######.####.#####.##..##.####.###.......##.##..#..##..##.#..###.###.#......#.#...##....##.#####.###.#..####.#...#..#...#..#..######.##..#...#....####..##..###.#..##..##..#..#.##..##.#####..##.###....######.##.##..#.###.##..##..##.##.#.###..####.#.##..#..##.##..#####.#####..##....##.######..##.#..#.##.#..#.#..#######.#.##.##....#.#....#.##...#...#....#######...####...#...####.#..#......#..###...#.#.##......#..#####..##.##..#..#####....##..#.##.###....###..##########..#.###.####.###.###.#.####..#..#....#..#.....#####.##.##......#######.....####.#...##..##..####.###...#...##.#.####..#.####..###......##.#..####.##..#.#.##.####.#..#.###..##.###.##.#....##.#.##...##.#...##.###.#...#.##..###.##.####.#...#..##....#.###..#.#######..#...##.##...###.###.###.##...#.#...#
#..#..##.#.#...#......###....#.#.......#..##...##..#####.#..#..####..##.##.#..####..##...#..#.#.###.....##.##......#...##....##..#.###.#.#..##.....###......####.#########..#.#.#..#.##..#.#.##..##...........#.....###.#.....##..#.#..#.#.#.##...#.###.#.#####...##.#...##.####.##.#.#########.#..#.###.#.#.#.###..###.##.##.###..#.####.##..#...#..#...#.#.#..####.#....#...#.#####.#...#.#..#.##.#.###.......#...#######..###.#..#.###.########.#...##########....###.#......#.....#######.####.###..#####..#.##..#.#....######..#.#.##.###.#.#.#.###..#######.####.#..##..##..#.#....#..#.##..##...######.#.##..#.##...#.#.....#.#.###.###.#####...####.###..######.#.#..#.#.##...##..##.#..#.##.##.##...###.##..#...#.##..#..#.##.....#.#####.....##..##.#.##..####..####.####.##....#........#####...##.#..#.#.....##..#.##.#.#.###...#####...#.###.##.#.#####...####.####..###.#......#####.#.##..#.#.#.#..#####..######.####...##.#.#.##..##....####.####...#..#..##.##.####.###.##.#.#.##....#...#.#.##.###.###..##...###....##...#...#####.##.##..##..#..#.#.##.##..#.#.###.....##...#.###....#######..#....##.###.##....###..###.#..#..###.###..####..##...######.##.####.....#.#####.#..#....#####.#.###.###.#...#.#.#.###..###.#.#..#...#...##.#.#...###.#..##..#.##.#.###.#...##..##.#...#.#.#.#.##.#####....#..#.##.#.#..##..##..#..###.#.##.#..#..##..####.###.##..#......##..#.#.###.#...#.#.##.###.###..##.....#..#.##....####.###...........##.####..###..##.......#.###..##.###...####.#####...#..##.#..##.#..#...#..#.###.##....##.#.#..#...#####.#...##.#..#..####.......#.######.#.##...##.#..##.####.#.###..##...#..###..####.#....####.#.#.##.#....#....##..########........#..###.#.#.........##.#..#..#.#..###......#.#...##.#....#######...###.####.##..#.#.#....#.#.#.###....#.#..#..##.####...###...#...#.#.#.##.#....#...#....#..###.....#.#.....###...#..#.###.#.#.....##..#...#...#.......##.#...#..##...#.#.#.##########.###...#..#..####.##.##.#........####..#...#......#.##.##.#.####.....#.###.#.#.#..#..#..#.#.####.#######.##...###.###.
.##...##.#.##.##...#.####..#.#..##.#.#..##..#.#.#.#...#.#......####.#.###.##..##....#......#.#.######.#.####....#.#...#..#.#...#.#.###..##...###.###.##.#####...#...#.#..#.###.#.#..###..#..#..##.#.#...#.##..#.#.......####.##...##...##...##.###.##..#.##.#..#.#.#..####.#.##.#.#.##.##..#.#.##..#.##.######.#####..#..#.#..###..........###.#.#.###....#....#...#..###.##.#.#.#...#.#..####.#####......####.#.##.#.##.....##.#..#..#..###.#.#....#.#..#####.#.##.#.#.#..#.##...#.#..#..#.######.##.##.#.#####.#.#.#.###.#.#####.###.##....####.##.#.....##.#..#.##..##..####.##.##.#.###.#####..#..#..#..##..##.#######..#.####.#.#.##.####..##..#.#....##....#.###...####..#.####.###.##.#..####..##.####..#..#..##......##...######.#..#.##.#.#..#...#.#.....##.#....#..#.###..#####...##.##.###.##.#..####...#.#.#####.....#..#.####.###....####..#.###########.....#..#...#..###.#...##..###.##..##.....##..#.#.#.#.######..#.####.####..#.##..###..##...#####.#####..##....#..##.##.###.###..#.##..#......#.##.#.#..#...#..#....#.##.#....#.##.#####.##.#..#.##.###.###...#....#.#.####..##.#...#.#.#######.#.##.#######..##.#....#####....##.##.......#.##.#.##...#.##..##...#.#.#####.#.###....#.###..####.#.#..######..#....#####..#....#.##.########.#..##..#.##.#.###.#.###.#...#..#.#...#..###.....#..#...#.#.#....########.##....#....##....#.#.##..####.#...#.#...##.#..##...#####...#...####.###..#......#.##.#..###..#.#.###.##..####.##..#...#.##..#...#.##.##..#...#.##...#.#...#.#...#..#.##....#.####......#...###...##.##..#..#########...###..###....####...#####.....###..####.##...#.#..#...##...##.##........#.###..#...#..###......#.#..###...#.#..#........##.##.#..##.#####....####.#.#...#.#.####.#.#.....#..#.##..#.#.#.......##.......#.##.#.#.##.##.#...#.###.##..#..##...###.#.##...##.#..####.#.##...###.####.#.......#..##..##..#.....##..#.....#..###...#..#.#.####...##..###...#...#.#.#..#...#.......####....##.......#..#.##....#.#..###.#..#..##...##.##.#....#######.....#.#...#.#..####.#.###..#.#...#..#.##.##..#####.....##...##..
.###.#####...#.####....#.#######..##...#.#.#.##......#.#.#...##.#.....#.#.#..#.#.#..#########.##.#....##......#..#.......###.#......####.##.##..################.#.####.#......##.##....###.##.##.#.#.###...###..##...#.##..####..###.#.#.####....#..##..#..####....#....#..####..##....###...#######.....#......##..#...#.###.#..#####.#.####..###..####..#.....#.#.#.##..##.#.##..#.#.....#....####.##..#.#...###..#.#.#.....###....#.##..######.##.##.#.#.#.#..#....#.......###.###...####.#..#..#..###.....#.#.###.####.#...###..######.#.##..##.#.##.####...##.####.#.#...#####.#.##..##.#...###.#.##.##.###..###.###...##.##.#.###..##....#....#.##.#...##....#..#..#.#.#..#..#####......##...###.###.#...#...#....#..#.##.#.#.#..###....#.####..######.##...##..#..#..##.#...#.###...#..#...#..#########.###....#...#.##.....#.##...#...##..##..######.#..#.##....#..####.##.####..#..##..#..#...#.####...#.#######..#.....#.###..#####.##.....###.#.#..##..###.#..##..#..##.#.##.###....#######.#.......#...#####...#..#..##.###..#.#####..#..####.#..#..#..###.#......##...#.#.#..#.#.#.#.#..#.#.#.#..####.##.######.####.#.##.##.....#.#...#.#.#.##.###.##...#####..####..##.#.####...#..####.###..###.#.#.#.#.#.###.#.#.##.##.#...#..####....#..######..#.#.#...##..##....#.#.##..##.##....#...###.#.#..#..#..#.#####...#..####.#....##.###.#...#....##...###..#..#.##.....#####.##.....#.#..#.#...##.#...#..##.#.#.#..###....#.###...####.##..#.#...#..####.#..##.#.##.####.####.#####.......###..#.........##.#...##....#..#..##....#.#..#.###.#..#.#.#.#####..#...#.#....#.#...#####..####......###.#.#..#.....#.###.##.##.#...#...#.###........#..#...##..#.#..#..#.####......#....#.####..###.######...###....#.#..##.##........#.#.#.#...###.#..###.#.####..##....#..####.#.#.#.##.....#..###..######.####.#####..#....#...#.#.#####.##.....#...#.#.#.#.#.#..##.##..##.##...#.#...####...#.#....#..######.##.#.##.##.##.#.#..####.#..##...###.#.##...#.####.#.####..#.##..#.#..###.####.##...#..#....#..#..###.#..#..##..###........#####.####.....##..#.#####.
#..#..#..#.#...#.#...#.#..#.#..........#.###.#.#.###......##...##.#.##.#.#.##.###..##.###.#.###......#..###..#...#.#..##.####....#..#.####.#......#.####....#.###..#.#.#..##...###.#.....#.#..####.....##..##...##..#.#.###..#...###.#..#..#..#..#....#..#######..#.....#.#..####.###.#..###.###.###.##.#..##..##.##.##.####.#.#.#...#.#.##..##...#.##...#.#..#.#.##.....#.#####....#...#.#.###..##.#..#..#.######...###.#..##...#####.#.#...##..###.####.#..###..#.##.#.##..###.##.###...#...#.#.#.#.#..#.#...##.#..##..####.#.#.##....#....##.....######.####.###.##..##...#...###...#.#...#####...#..##....######.###..##...#.#.###.#...##..#..#.###.###..#.#.###..#.#.......#....#.#.#.##.####...#.#.##.##.#..#.#.#.#.#.##.....#...#...##.#...####....##.###..####.#.....#......#..#...#...#..######.#..##.#.#.#.##...#.#.##.#...#...#...#.#.##.##.###.###.#.#..#....#...##.###.##.###.###.#####.#######.###...##.........##.#.#.#.#.##.#...#.##..##.#..####.##..####.####..#.###..###.#....#..#..#########.#...#.....##.#....#..#.##.##...#.#.#.#.##....##.#.#.....#..##..#...###.#.##.#..#.#####.#....##.####..#####..#....##.##..##..#.##..#....#..#......#.#....#...#.##...#....###.#..##.###..#..###..#.##..#..###..###.######..#.#...#.#....#..#.##.......##..#.#.#...####....####.##.##.....###....###.#...#.##.####.#....###...##.###.#..#.....###.#...#..##########.......#...#..##.#.#..#.###.......#.....###.####....#...###.....#..##.###.##.#.#.####.#..##.#.#...#..##....#.#..#####...#.###.####...#..##.##.##..##.##.....#####..#..#.#...#..####.##..#.#.##...#...###.#..##...#.....##....#.###..#.##.##..#..##.#.#.#.#...#.##.##...#..##.#....##.######..#.#.#..###.#.##.####..###.##.#####.##..#.#.#..#..#..#.#..##....###....##..###.#########.#...##.###..##..#..#.####..#.#.#.###.##.#.#.####.##.#..#.#.#..#..###..#.#.#..##.##...#.##.#.#.#..##.##.....#..#..##..##.....####..#..#.##.#.#####.#.#.#..#.##.##.##.#.##...#####..##..###.#####....##.##..#.#.#.#..##.###...#...#..###.#####..#.###..#...#...###.###.##.######....#..####.#.###..##.#.#.##.
##..####...####..##.#.#.#.......#..#..#.#.#.###.###...#.##....##...###.#..###..###.###.#.###...###.###....##.#..###.#######.#####..###.#....##..###...##.#.#####..##...###..#...#.##....#..#.#.#.#.#.#.##.#.#.#.#....#..#..#.##.#....#..#.....#.######.###.##....#.....#.#.#.##.###.#####.#..........#.#..##...#...#....#######.##.#....#....###..###.#.#.##.##....###.#..###..#.#..####..#.#..#.###...##..#..##....##..#.#.###...###...####......######.##.#.##.##...###..##..###.###.####...#...#.#.##..####...#....###...##.###.###..#..##...#####.#.#.#.#.....##.#..####...###.#.#######....#...#...#.#.....#...#...........##.##.#..####.#.#.#######..##.#...###..#.#.#...####...#...#..#..#.###.#######.#...#.#########.##..##..#.#.#.####..###...#.......#..##.###.###.##.##.#.#.#..####.#.###.##.##...#...##...#.........#.#.#.#.#..#.###...###.##.#####.##.#.######...#..#.######......#####....##.#...#.###.##...#..#..#######..#.##.##..#.#.#.#..#..###.##.#.###.##..#######.###...##.##.#.#...#.#.#..#.#....##.#####.#.###..#.#....#..###.########....##...#.###.###..#..##..#####..#..###...#...###.###.###.#..#..##.#.#.#.....#.#...#...####.#.##..#..##..#.###.##.##...###..##...##.#....#.##.#.###.#..##..#.#........###.##.#...#.##...##.#.......###..#..#.####..#####.#..#.##.##...#..#.#...####.##....#..#...#.####.#.##......#.##.###.######...#.######.#.#.###.####.......#.#....#.##..##.##..###.##.###.#....####..#.#.#.##.##.....#...##.####.###..#......####..#.##.....#.#.####..###...###..###.###...##.###.#.##.##..##.##..##.#.#.#####.##..#..#.#...######..##..##.#..##..##..###....##.##..###.#..###.#..###..######.####..##....###..#...##.##..#.##.###.#.##.#.#.#..#..##.##.##.#.##...##..#.#..##.#..#.##.#.#####.#..##....##.#######.#.#.#####...##.#.......##.#.##....#.###...####..##.##.##.#..###.#..####.#....####.#.##.#..#.#.#.##...##..#.####..#.........#...##.###..###..##.#####.##.#...#......##...##.##....#..##......#..###.#..##.##.###..##..#.##..#...#####.##..######.###..#.#...###.#.###...##.#......##.##.##..##.##.##.#.#.##
..###...###.#...#.##.##.###.##..#...##.#.########.#...#.#.....#.#.###.#####.#....###.##.##.###..###..##..###..##...##.#.#..#.##..##.###..#.##.#...#..###..#..#####.##.##..#..#...##.##...###....#.###.#.#..#..##.####..###..##...#.##..#...###....#######.##.##....#.#...###.##...#.......###.#..######.....#...#.##.#####..##.##..###.##.##.#.##.#.....###.#.#.#######..#..##.###.#.#..#.####.###....##.#............#....##.#.#..#...##.##.#..####.#..##....#.###.#.##.#.#....#...#.#######.#..#.##.#...#....####..#..###.#.#.##...#####.###.##.#.#...#...#.....##.....#.##..##..#..###.#..#.##.###..#..####..#...######...#.#.####.#...#...#.#..###.#.#.####.#.#.....#.#.#.#.#..#.##....##.#.####.....###..#.#####...#..####.####.######......#.######...#..#..#..##..#.###...##....###..###.#..###..##.###...###..#.##.....##.#.##...##..#.##.#..#...###.####....####..#...####..#.#.############.###.#......#..##.###.##...#.#.############...#.###..###.#...##....####..#..#..##.####.###.##.##.##....#.#####....###..###.#...#...#.......#..#.###.######.#....###...####..#..##.##...#.##....#.#...#.#.#.##.....##.#...##...#..#....###...#......#..#.#.##...##...###.####..##.##.....#.###.#.#..#.#.###....##.##..###...#..#.....#######....#####.#...#.#..#.#.##.#.#.#.#####.#..#####.##.......##..#.#.#....###...#...#.#.#..####....##.#...##.#..##.####......#..#.#.#.#....#######.##.###....#.#.#.####...###.###.#.#.#..#.....##.###..###.........##..#.#....##.##..##.#...#.#...###...#.##..##.#.#..##..#.##.####..#..#.##..###.##....##..#####..###.##########....##.##.#.#....#####..#.#....###.#.#.####.###....###..#...#.#..#.#..#####.##..####..#.#.######.#.####.#####.#.#####.#..####..##..##.#...#...###.#..#.####.....#######.#.#.##.##...###...###..#.......##..##.....#.#####.#.#.##..#.####.#...#.#...##.##.#####..####.#...##.##.#.#...#..##.#.########....##.####...#####....##....#.#..####.#..#...##...#.#.....#.####.##......##...#.#.###...##.###.#####..##.###..#####......##.##..##..###.##.##.#.###.####.##...#.###.#.##.###.###.####.#.#..#.#
#........##.####..#.##...#.#####.##.##......#...#..#.#.#.#.######..###..####.#....##.##..#..#.#....#...#.#..#...#..##..#..##.#...#...###..#.#.#..##..##....###...#.#.##.#.##.........#.#####...##.......##..#........#......##...#..###.#####...#..#.#..##.......#.#.#.#.#...########..#.###.#...#.#.##...##.#....#..##..#....###..###...##.#.....##..####...#..##.##.##.#####.#...##.#.#...#.###.##.##.###.#...###.##.###.###....#..#...###.##.#..######..####..###.#..##..#.#.#..##.###.####..##.#.########.......##.##...#..##..##.##..##..##....#######...#.......#.#...##..#..#.#.####..#.##.##.......#.....#..######.##.....##.#.###...###.#..##.#.#.#..#..###.##.##.#.##########.#........#.....####..##..##...#.#..#######.#...############..##...###.##...#####.#.##.#.##...#..#.##.#...#.####...##.##.##..##.#.###.########..#.###.##.#...#...#..#.#..##..#..##.###.##.##.##.#####...##..#.#####.###..###..#####.#####..#.###....##.#...######.........#....#...#.#.#.##.....#.##.#.#.......#....#..#...#...#.#...#.#.####.##.#...##..###.##....#..#####....#.#..###.#..##....##.##.#.###...##.#..##.#..#####.##.##.####.###.....#..#.##.#.#.#.##..#.##.#.#.##.#############........#..#....#..###.#..#..#.##.###.#...#.#...#...####.##...#....##.###...#....#..#......#.#..####.##......#.#.##.###.##....#......#.#.###..###.#######.#.....#.#.###.#.#.##....#..#.....#.#.#.##....##.....#...#.#.###.#....###.##.##...#.##.#...#..#.....#.###.###.##.#..##.#.#..#..##.#...##...#.##....##.#.#.#.#.##.##.#.###.#####...#..#...#####....#.##.......####.##.##.#....###.#.#..###....##.#.##.#.#.####..#...#.#..##.###..#.##....##.....####.##.....#.##.###.#..#..###.#.##.#.#.###.###......#..##..####...###.#.#..##..###.#.####.#.###.#.##.##..#.###.#.###.###.####.#..#..##..#.#.##.#..##...#.#..#..####.#.###.#..#.#.#.#..#####...####.####.####....#....##.##..##########.#.#.#...####..#...##.#..##..#.###.###...##.....##.....#.#####.#..#.##.###.#...##.###..##...#.##.....##.#..#####.#........#.###.###..#.#.####.####..##.####.....#..#..#.##.#......#..#.#...
.....#....#.......#...#######.##.##.##...#.###.#.#.#.##.##..#.###.##.#..###..##...##..##.#########.#.#.###.#.##..##.#.###....#.#.##.#########.....#.#.#.#############.....#.#####...#.#.###....##...#.#..#..#...#.####.#.###.#...#.##.##.###.####.######..#...#.###.##..########.###..######....##..##..#....##...##...#....###....#.#.###....###.#....#....#..####.#..##..#..##.####....###.####.#..##.#.#.##..####.##..#....#..#.##.#..#####...#.##.....#.#.##.###...##.####..#.........##...#.####.#.#.##..#.##.##.##..##..##..##....#..###..##..###.###.#..###...#.####..#####..####.##.#...#.##.#.#.##...######..#..##.#.#.##.....#..#.#.#..#.###...#.###.#.#.######....###.#...#.#......#.#.#.#..##.##...#....#.##.#####......##.###...###.#.#.....#..#...##..###..##.##.######.#.###...##........#..###.#..##.####....###.#..#..#.###...#.##.##..#####.#.###.#...###.####.##.##.#####.##.##.###.#.#.###.......#.#..#...#...#.#..#.......#.######.#..###..#######..###.###.#.#.....#..##..#...##.#.##.##.##.##.......#..#.#.#.#..#.###.##.###...#......########.####.##.###.#...#...##...####.#..##...........##......###..#..#.##.#.##.#.#....#####.##..#...#.....###.##...#####....####...#..##.#.#..#.#..####........#...#.#..#.#.##.#.#.#.######.##..#.##...#####.##.###.....#.....#.####.##.##...##.##.#..#..#...##.###..##.#....#####.#..#.###...###..#.##.##..###..##..#..###..##...###.#####...##.....##.##.#..#....#..#.#..#..#..##........#.###.#.####.#..#..###..#####.##..#.#....##...#......#...#.#..#......###....##.#.#..#...##.##.##....#####.#.#.###.#..#...#.......#..###..#.##..###..##..#.#..#.#.####.#.#..#.#..#..#..#.#####.####..#....###..#.#..#..#..###.##.#.##...##......####..##...#..##.#####.###.####..#.#....###.#......#...#....###..#..##.###....#.....#.#..###.#.###.#.#...#....#.####.##....#..##..#.####.##.#######.##....##..###..#.###.#.#.#....##.####.#..#..##....#..#....#.#....##.##..###..##.#..#..##.#..###..###.#.#.####.##..##.##...#...#.####..##..#.#..##.##.#...#####.......##.#..###....##.##.#.#.#.....##.#####..#.###..
...#..#...##..#.#.#.##....#.......###....####.###.#...##.#..#.##.#..##..#.##.##.####...#.##.#..#.####.#.###....##.#.....###.........#....#....#.###..#.##....###.##..###.###.#.##.######.#.#.##.##...####..##.#..###.####......##.#..####.#####......####.####...#.#.#..##..#....##.#.##....#..#...#.#.###..#.#....#.######.####.#.....#...#.#..#.#..#.##...#.##..###..#....#....#.#..##..#.....#.##...#.###..######.##....#.....#..####..##....##..#...#.#....##..#...#.#..#.#.#.#.##..##....#....#.#####.##..##.##.###.##..##..####.###..#..####..##...#.....#######...####..#.##.............#..#..#.#.#...#.....######..#.#.##.#..##...####...#.#######..##..##.#..#..#.###.#..###..###..###...#...###.##.###.##.###.##..##..#####.##.##.#..#..##..##.###....#...##.#.##...##.######.#.#.#.#.###..##.#..#.##.#...#..###.#..#.#.##.##...##....#..#..#.##..######...##..###..#...#####.#.#.####...##....#.....#.##.##..#.####...#....###.##.#...#...##...#######..####.#.#####..#####..##.###.#....###..####.#...##...#.####..##..#.#.##..#.#####.#.#..##..###.#.#..#...##.........##....##......#####.##.#.######..#..#.###..##.#..###.#.#.#..#..##.#..######....####.#.##.##...###....#....#.##..##.##..###..##.##.#.##....#.#.##..###....####....#.####..#..##....#..##...#.##.#.#.####..##.#.###...#.#.#.#...#..#.####.###...#.###...##.#.#...####.#..#.#..##.#.#.#..#######.....##.#####.#....###.#..####..##.##.##.....#.#..#....##.#..#.....##.#.#..##...#..#....##..####.#......##.####....##.#..#..#.##....####.#####......#.####.##.#.#.###.##.##...#....#.....#...###.###..#..#.###.#...#...##.##...#..###....#..###....#.########.#...#.####.##..##....#.##.#..#..#####.##.....#.#..#...#..#....####.#.#.#...#..#.....##.#...#..#....#.......#..#..#...#..#..##.##.####..##.#..##.####..###..#.....#..###..###..#..######.##...######...###..#..#....#.##..#....##..##..#..###...#####.##.###....##.##.##.##........##.##...#.##.######...###.#..#..#.##.#....######....##.#.###..#.#..######.####...#.#..#.##.##..##.####..##.#.#.####.####.######..#..###..#.###
.#.....###...#.##.##..#####...###..#.#####.###..#####.#.#.#####...###.#....#...##..#.###.#.#.....#..#...#..###.####.#..########.#...###..##.###.##.#####.#.#.#.##.....#...#.#..#.##..#....#.#...#.########..#..###.##...#..##.##.#######.#..##########.#.#.########.#######.#.#....#..#..#.##.#..#.#..#..##.##..##.#.#.###.###.#....#.##.##.....##########.#.#.##.####.#.###.##...#.##.##..##.#.........##..#..........#..#..#.###.#.####....#...###.#.#.#...#.##....#...##...##.###.###.###.#######.....####.###..#.#..###.#...#.##.....#..##.....#.#...##.###..####.###.#..#.#...##.#..###...#...####..###.###......###.####..#...##.#.##...####...###...#..####....#..#..#.##.##.##.###..##...##.#######...#.##.###....####.#...##.##.###..#####....#..##.##..#.#.######...##.##...#..##.....##..#.##..#.#####..#####..##.#..##.##.#.###.#..#....#.#..####.##..##....#.####...####.#.#...####.###..#......###.#.##.####.#...#..########..###..#.#..######.#..#.#.###...#....#....#..###..#####.#..#.###.##..###..###.##..#.##.###...#.#.##.##..#..#.##.###.#.#.##...#.##..#.#..#..#.#.####..#...#...#.##....#...####...#..#.###.####.#..######.#.#.##..#..#....#.##.......##.#..#.###..###.#.....#..#...#...#####.#.#.####.##.#######.#.....###....##.#.....##..###..#.#...#.#...##..#..####.#.###.#..##...###.......#.#....#.#.###.#....#...#.#..####.......#.#..#.##.##.#.....#.#...#.#####.#.#......#...##....########...#...##...##..#..####....###.##.###.#.###.##.##.#..#...#...####.##.##...#..#.###...###...###.####..#..###..#.##.####.###..#.....####.....##..#.#...#.#.####...####......#..#.###.###########....###....#.##.#.#..##.####.#######..###.##########......###.###....#.#..#.#.##.#####.##.#.#.....#...#...####.#.##..#..#..#.###.#.#.########..#..#...#....#.##....#####.##.#.#.#..##.#.#.##.#..#.#.##..######...################..#.#.#....###.#.........#..#..#.#......##...#.#.#....###.#...#.#...###..#.#..#...#.#.####...##.#....#.####.#.####..#.##..#..##.####.......##...#####..#...#.##.#..##.#..###.....#.#...######.#...##..#.###.#.##..#..
.##..####..#.#.#...######.##..##.##..###...###.#.#.#.#.#...#####..#.########..##..######..#....###..########..#.#.#.#.....#.##..##.##.##.#..#.###.#..#....#...###...###.......#..##..##...#####.#..#.###.#.###.##.#.###...#.#....##.#......#.##..#.#....#.##.#######....######...#...##.#.##.....#...#.##....#.##...#.#####.......#.#.....#....###...##..#####.###....##.###.#.##.......#..##.#..#.#.##.#..##........#..###.....#.#..###.###..#.#..##..###..#.###...##.###.#####.######...#.#.#.#..##....#.##.....##.#.##......#.##.##...#....#.####...#.#.##.##....##..##..#.##...##....#.#.##..#######...###..#.######.##.###.#..#.###.####..####....#..#.#...##.####.##..###....##.#...#..#.######.####..###..###.##...##..#.##.#..##..#...#.###..#...#.###...##.#.#...#..#..#....###.######..#####.##..##.#.#..#....##..#....#.##.###.#.......###....###.#..##....#.#.#.....#.#.##..#####.#.#...####.##..###.####.##.###..#.#.###.......#.###.....#.##...###.....##.####.....#######.##.#..###.###...#.#..##.##.##..#....##.###.##..###.####..##.#.##..#.##.#.#.#.##.###..#######.##.#.#......###...#.#.#..#..#.###....##...#....##.###.##....#..#...###.###.######..######..#.......###....#....#######..###...##...##...###..#####.##.#...###..#.#..####....#.#.####...#.#..#..#..##.#..###.##....#.###.##.......#.##.##..#...#.###.###.####.#..#...#.#....#..#..####.#...#.#.......##...#..###.#........#......#...##...#.#.##..###.###.###...#..#.#..#######.##..##...#####...#..##.####.....####..######.......#######.#.#.####.#.##.#.##...##.#.##.....#..##.#...##..#.##...#.#..#..#.##...#.#.#....###.#..#....#######.#.#.####..##.##..###...#.#..##.##.####...#.#..######..#...#..##.##...#...##....#...##...#...#.#.###.##.##.#.############.#.#..###.#.###.#.#..#....###.#.#...#.#....#..####.#....#.###..#.###..#..##.##.###.###.#....#..##.#...##.##...#....####..#...#....###.#.#.##.....###.#.######..##...#.###..###..#####.###.##.#...#.####.#.##.#.#...#..#..#.#..#.#######.###..#.#.....####.##.###.#..##..#.###.#..#..##.#..#..#..#..#.#.....##..#####.#
###..#.#.#...####..#.#....#.#.#######..#...#.##.###.#.#....##.#...###.#.####.##..##.....##....#..#.#..#####.###.#.#...########..#...##.#.#.##.##..#...#.#....#......#.######.#.##.....###.##...#...##..#..##..####.#..##.#....#...#.######.#.........###....#######.#..##....##.#..######...##.......#.#.#..####...###.#..##.##..#.#.##..####...##.###.##.##....#...#.##..###.#..#..##..##.##....#..##.#.....#.#...##..###.#..#.##.#.##.#..###..#...#..##...##..#.#.##.#.#.#.#..##...##......#.............#...###.#...##..#..##.#.#.#..###..###.#..##.##..#.#.#####.##.###...###.#......###....###......####..####.###.#.##..#.####..#.##.#.#.###.#..#.#.....#....#.#.###.....#..#...#..#..##.#.....#.#...#..#...##.#######.#.#.#.#.##..#.#.########..#..####...#####.#..#..##....###########...#..##..###.#.#...#.#..##..#..#..###.#...###.##.#.####.........##....#....#....#..##...##....#..#.#.......##.#......###.###.####..#.......#.########.#.##..#.##....#..#......##.#..#....##..###....###..####...######.#..#..#.#.#....####...#....#....##..#####....##..###.#.#..#.......#.##.##.....#####.##.###..#...###...#..#.....###.#..##.#.#....##...#.#.###..#.##..#..#####.#..##.####..####.#..#.#.....##.#.#.##..#..#...#......#..#.##.##.#..#..##.#.#....###.#..#####...#.#####.#..###.......##.#.....#...#..##...##########.#...##...##.##..##.#..#..##.##.....#...#######.#....##.#.#.#.###..##..##.###..###...#.#.#.#.###...#.....#..#.##.#....#..####..##..#...####.###..##.##.#.#.##..#......#.##...###...######..#.##...#..#.#.###..###...#..#.##..#..#.#######...##...##.##.###.#...##.####...##..#..###.#..#.#.#.##..#...##........#..########.#..####.#.##.#...#..#..#.....#......####.##.#.#######..###...##...#.##..##.#.#####.##.#.....#....#####...#..####..##..#.##......##.###....##.......##.#.....##.#.##.......#..######..####.#..#.#..###.#.##.###...#..#...#.#.##.##..#.#...####...#...#....##..###...#####.#.###.###.#.########..#.#.##.#.########.##..#.####.##....#....###.#..###.###.##..#.....#.###.###..#..#.....##.##.#..#....##.###..#.#..
.##.#...#..##.#.....####...#....#####..###...###.##.#...###..#..#.##.#.####.##....######.##.###..#..#####.#.####.##.......####.##.#....####..#...#.#.#.###.#.##.#.#..#.#.##.......#####.....#.#.#..#..#.##...##.#####..#...#.#..##..#.#.#....##.#####...#.##....#...###.#.#..#.#..######...#..###.......###.#....#..##...#####...#...#...#.##.#..##..#.........#.#..#..#.#..#.#.#.#.####.###.####...##.#..#...#..##..##...##.##.############.#.####....#..#..#.###.....###...##.##..##.######......#....#.#####..#.#.#.##...#.#.#.##...##..#.###.#..#..#######......#.###..#.#####.#####....#####.##.#..#....#.#######.#..........#..#.####.#.#.#####....#.###....###.###.#.#.##.##.#.#..#.####..######....#..#..#.#..###.#####..#.##.#...#.#........#....#...#...##.#..##...###..###.######..####.###.#.#....##....#.#.##..###.##.#.#.####..#.###.##.####.##.#..#..###..########.....#....##.#..##.####.#.#.##.##..###.##.#.##....##.#..##.#####......#..######.#.##...#...##..#.##..#..####.#.#.#.##..####.#...#.#.##..#..#.##.##.###...####.#.#####.#...#..##...##.##....##.####..###..#####.#..##....###..####...###.###.#..#...##.#.##.##########...######.#..###.#######.###..#.##...##...#...#.#..#..#..#....####.###.##...#######.#...###.#.##.#.#.#.#.....###.###....#.#...###...##.##.##.##.####..#####.##.##...#....#..###..##.#.....##..#..##.######.#.#...#....##.......##.##.....#..#.....###.#.#.###...#.###.#.#..#..###....#....#####.#.##..#.##.#.#..#.#.#.####.#..#.#..#..#.#..###..##.#..##.#.#...##.##....#..#.#....#.###.##.#.....####.#.#..#######.#.#...##.#.##.#.#..###.#.####.####..##.#..#########..##.#..#.##.#.##.#..#####..##.######.###.######.##...##..#..###..##.#..##.####....#..##.#...##.#..##.#..###..##.##...#.###.#..######..#.#.#.##.##.#...#.##.##..#..#.#......##.#.###.##.##.##.#..##...####.#.##.##.#...#..##.###.######.##.#.##..#.##.#.#..#......##.....#...#...#####.#..#..##..#.#..#.#..#...#.##...##..#.####.######.#.##..#.#.#####.#..##..####.#.#..#.##.#.####..#.#..#.##.###.#.########..#..###.###.#######..##.##.##....#...
##.####..#.#......##..####...#.###.###.#.#####..##.#.#..#####..#....#..####.##.##....#..###..######..##.###....#.##.##.#.#.##.##...##...##..####..####....#####.###..#####...##.####....#.###.##.#..##...#.#.#...##...#..#.#.###.#.#.####.##......###...##.##..#...###..#..##.#..........#....####.#..###...####..#...####.###.#.##.##...####.#.#######..####..#....#...##...###.#..##.....#.##..#..#...##########.#.##...##..#...###.........#.#####.....###.##...#.###...###.#....#...##..##...##...##.#...###.##....###.#.#..###.##.#.#.##.####...##..###.#..###.#..##......#.#.######.#.###.##.##.#..#.#...##....#....####.#..##.#.........#..#.##..##.#.#.##..#..#..#..###..#...##..#.###.###.#.###...#..##.##.#..#....#.##...#.#..######...#.##.###..##..#.##.#..#..#.#.#..#...#.##...##...##.#..###....#..###.#....###.#...#.#.#.####.#......#..#.#..#.######.##.#.###..#.#.#######.#....#......###..##.#.#.###..#.###.##.##.#..#.......#.....#.#..#...#....##.##.....####.####..####.....#...###.#...##.#.#.#.#.###...#..#...###.##...#..#...##..#.#.#.#.#............####..#.#.##.##.......#..#......##.##.....###.#..##.#.#....##..#.#..#.######....#.##..#..#.#.##.#...###.##.....#..####.###.##.#.###.###.#####.#....######..##..###.##...........#..#.#.#...##....##..#.###...#####....#.##.#..##..#.#.#.#####.##.##.##.....#.####.#.#.###.#..###.##..#.###....#.#......#.#.#.#.#..###.......####.#....#.#.#..###...####....#.#...#......#...#..#.#.###....##......#...#..#..##.###.###..##.#.#..####.##.##.####.###..###.##.....######.#..###..##.##.##.#...#......#######.#.#.....##..#....###..###.#.#.###..###...######.....#..#...##.#####..###.#...#.....##.#..###.##.########.###.##..#.####.#..##..#.#.#...##...###..#.#...##.#..##.#...#.#.###..#..#...###.#.##.#....#.#######.##....##...###.#..##.##.....#......#.#....#.#.###..#.###.#.##..###......#...#...#.#...####.#####.#.....#.#.#.#.##..#.###.####..###...##..###.###.###..#..#####..##.##.##..#.#..#..##...####......#.##.##..#..##.#.###..#.#.###.###.###.#.....###..##.##...#...#.#..####.##.
#..##.#.####..##....#.###.####.#.#..#....####..###.##.#.#.###.....####..#........#..#...###...#...####..##...#....##.#....##.##.#..###...##.##.#...#...##.##.#.####...#......##...#########...####.##....##.####..#######...##.#........##..#......#.##.#..#........###..#.#..##..#.##.#...#.#.#.###.#.###..#.##..##.#.#...#...#.####.###.##...####..#.#....##..##.#.#.###...###...#..#..####.##..##.##..#....#..##.#...#..##.#..#.#..##...####.#.....#.#.#.####...###.#.##....#.#.......#.##.##########..#.#.#..##..#.##.#..###..#.....#.######..#....##..#..##.###.##.###.##.#..####.##.####..#.#.#.##.##.#.....#.#.#.####.#.#####.#....#########..#..###.#..#.##...####...##.#..#.#.#.###......#.###.##.#.#.#....##..####...#######..##.##..#.#..#...##..##.###.#####.#.#...##......#...##.##..#..##.#...##.##....####.##...###.#........#.#..##..#........#.##....##..#.#########.#######..#####.#.###....#.##.###.###.###..###.##...#...##.#.#.###...##.##.#.#......#....#.###...##.##.##.#.#..#.##...##..#.###..#....###....###..###.#.#..#.#..#.#.##..##..##....#####.#.##..###.#.#.#.####..##.#.#...#.#..#####....##.###.#.#.#...#.#.##.....##....#...###.#...#.#.##.#.#....#....#...#..##..#..####.#.#..#..##########.####...##....##.###.#.#.##.#...##.##.##.#..##....#..#.#..#....##...#..####.#.#...#.#....#.####..#..######..###..##.##.#####.#...#..#..##..##.##.....####.##..#.#.####.#.#..#.##.#..#.#....#.###..#..#..#..###.#.#.#...#..###...#.##.###....#...###.#...##.#.####.#..#...#..###.#.#.##.##..#########.##.#......##.#...##.#######.###..###.#.##..####..##..#.#####...###.###.#.#....#####....#.###.#.##..#.#.#.##.###.#.#.###...#...##.#....#....#.#....#.#...##.#....#...#.......##..####....#......#.#....##...#..##.#....#.##.###...##.###.#..####.###.####..###...###..####...##....#...####...#....#...#.....##.#.######.#...##..###.#.###.#.##.##.#......###.##.#.####.##.####.#####.##....##.#.....####.##...#.#..###..####.....###.##.#.###.#..###.#.##.#...#..#..####.#..##...##.#####..####.#.###..#.###.#...###...####...##.##..#.###..#
#..##.#.##...#.........#.##.#####....####.#....#.###....#.###...#.#..##...##.###.###.#...##...#........#.##.#...###..##.##.####...#.#.##.#.###.........#..#...#..#.#.#..#######..####.##...#.##.##.#.#.#.#.##....#....#.#.#####..##.##.###.....##..###..#.####.#.#..#.#..##....#.#.#.#...##...####.#.##.##.#.###...##..###.#......#.##.......#####.###.####.#.###..####...###.#....##.....#..#....#.#.#.#....#.#......####....#.#.....#############..##.##.####.#..###..##....#.#.###..#.###..###.#..###...#..#.##..#...####..#.#..#######.#...###..#.#.##.#.#####.##.####.#.###.##.#....#.##..##.......##.#.##.##.###.##.##..#.#.###..######..#.##.##.##..##.##....#..##.##.....#.####.###..###.##...#.#..#.#####.....##..#......####.####.#..###.#.#...###.###.#....####.#..##.#..#.#.........#.#..#...#..##.##.#.#########.###.....#......###..########....##.######.###...#..#...##.#.#.###.###....#######.##...#..##.##..#####.#.#..#...##.#####...#..##.##...#...#####...#.#.#.#####.##...#.###.###.###....#.##.#.#.######.#.###.###.#...#.#.#####.........#.####..##.###...###.####..###.####.#....#.###..#.###......##.#.##.#.##..#.#..#.#.#...##..##.##.#.###.##.#.##.#..#.##....##.##....##.##..##.#.###.#.#..#...##.#..##.#..#.##..#.##........#.#.#.##..###.###..####.##.######.#.#.#.#.#..##..##..#.#.#..#.#.##.###.####....##..##.#.##.##.#..###.##..#..##.###.#.###..#.#..#.#......#.#.#...###.#.##.#..#..#..###...###..###.#.#.##..#.####.#######...#...#....####....#.#####.##.#.###.###..#...####..#...####.##.#..#....###...#.#.#.#..#.##..#..###.....#.####..#...####.####.##....#.##.#####.#..##.#....###...####.#.##.#...#.#.#.##..##...#.######.##...#.#...###.#...#.##.#.....##.###....##...##...##...#......###.#.#.#.#.##..#.##.#.....#...#...#####.#...#.####.....#.#....#####.##...#.##..##..###...##.#.#.##.#..##.#####..#.#....###....#.#.#.#.###.#.#.##.##....###..##.#....##.##...###..#..##.#.#..#.....#.##.#.##.##.#.#..#.####...#.#..#.####.#..#...##..###.#.###..#..#.#.#.#.#..#..#######..##...#..#.#..#.#..##.#....##.####..#.###.##...#..
...#.#.##.##.#####..####.##..####.##...###.#....#...##.###.##..#..#..##..#.#...###..##.#..##.###.###....#......#....#...##.###.##.#...##.###.##..###.####..###.####....####.#..#..#.##...#.......#.#.##..##.##.###..###....#.##....##.#...#...#.#.##..#.####..##..########...#####....##.#.#.####....#.#.#.#.####.#.###..##..##.#........#....##......#.#.##.##...##..#..#.#.#.#...###..##....##....#.#.####.#.##...#..######..#.###...#.#..##.#####..#####.#####.##......#####.##...#...#..##.#.#.#.###.##.#..#..#####..#..#...##...##.###.#.........#####.#..#.#...##....#..#...#..##..#####...#....##.#..##.#####..#.#..#...##.####.#.#.##.....########.#.###.....#.#####.##.#..#####.###..#..##.#..#....###.#####..####.#.#.#.##...####.#..#..##.####...#.#....##..####.###.###..##..#.##..#..#...##.#.##..#..##.###.....####....###..##.....#.##..#.###..##.#...##.#####.##.##.#.###.#.#...####.#.###.###.##.##.##.....#.....##.....##..#.##..##.#.#.###.#..#...#....###.##.........#..#.#.#..#######.#.###..#..##...####..##..#####.####..##...#####.##.#.#####.#...####....###.#.##.##.....#.#.####.#.#.....###.##..##.#..#.#.#..######....#.#...##.#.##.#.......#.###....#..#.#...###..###.#..##..##.#..##.##....#.#.#...#.#..##.#######.##..###.###.###.##.###....##.##.####.####.....#.#.#.##..#.##..#..#.###..#...#.###.###...#...#.#..#..###..##...#.##..#.#####.#.....##...#.#.##.#..#.#.#...#....#....##..##.#.#####.#....#..#..###.#..#....#.#.##.###.#.###.##..#.##..#######...#.###.#.#.#..#.##..###.##.#..#.#..#..#..#..######....#..#...#.####.######..##.#.#..##.##....#..##.##..##.##...###..#.##.##..###.#.##.##......##..#.##.#..#..#..###...###.#..##..##.#.##...###..#...#.####.#.#..##.....#..#.##.#..##.#.###.#.#.##..##.###.#..#..#.##..#.###..###.##.##.#.....###.#...#.###.####.###.##.##....#.#.##...#..#..##..##...##..##.#........#.##....#####..#####.##...#....#.###.##..####.#######....#..#####.##.##.#...#..###.##....##.###....#.##..#.#...#.....##....##..#.####.###.#..#.###.###.##.#.###.#.#..#.##.##.#.#..####.#.#####..#####..####.#
....#.#..#.##...###........#...###...#..##.#.#.#......#...##....#####.....#.##..###...#.##.#.#.#....#.#..#.#...#..#.####.####..##.#.#.###..#.#######..###.#.#.#.####...##..##.#..#.##.#.####..##.#....##.###...#.#.#..#.###..#...#.#..###............####.####....#.##.##..#..#...#...#..###....#.#..##.#####.####.#.###....#.#.###..#..###.......#......##...##..######.####.#....#.##...#....##.......####.....##.##.....#...##....###..#..#..#.####..#.#....#..######..##....#......##.#.##..###.....#..#.#.......#.##.#........#.#######.#.##...#..#.####.##..#....##########...#.######...#.###.##.#..##.#....###.##.##.#.#..#....#.##.......#..##..#.##.#########.######.##.###.#.#####.####...#...#......##..##...#.###..#.#..####.###.######.###..###.##..##...#..##..#..#.########.###.#.##.....##.##..######..###.##..#####.#.#..##..##...##....#####..#....##.#.##......#.##.####.##.###...##.#..#.#....##....####.#....#.#.#.....#...#..##..#...##.#.#.#......#.##.##..#.###.#..#.#.#.##.#.....#.##...#.##.#.#####.#....#.#.#.#.###..##...##.####....#..#.##.##.##...###..#.#....#...#..####.##.#.##.##.#.....#..#.#.##..#.#.#..#.#..####.#.....#.#.#...###.##.....##....##.#.##..###....###.#..#....#..#.###..#.#.#.#...#...##.#.##.#...#.##.##...###.#######.#.#..#.##.###...#...#..##.#.###..####.##.#..#...###.#.##...#.#.#.##.#...#####.#...#...#.#..#..#..###..#..#...#####....###...##..###.####..####...##.##.....###....#..###.#.##..###...##..###...##...#...#.###.####.#.###...##.#..#..#.##..##.......####.####.###..####.#..#.#.#...####..#####...###.#...#..##...#..#...#.#.##...#.#.....#.##.####.####.#.......##.#.#...###..#.#.#.###..##.######.#..#.#####.....###.....######.#.##.##....#.###.##..#........###.#####.#.####..###...##.##..#.#..######.......#.#.#..###...#....#..#..#.##.#.....###.#.####.####.#.###.###.#...#####..#..#.########.###.#.#......###.##.#...#..#...#.#..#.#.##.#.#..#.#..###.#..##..#...#...#.#.#..##.#####.#####.#.###..##.#.##.....######.#....#..###...####.#.#..#.#####.....#...#..##..####..#.#.#.#.#.#.#.##.#.
#####.##....#..###....#....#.##..#.#.###......#..#.#.##.###..#..##.#.##..###...##..#.#...######.##.#.#.#..#.#..##########.#.#..###.##........###.###.#...#.#...#.#...#####...#...#.#######......#.##.#...##.##.#.#....#.#..##.###..##......##.#.##..#.##..##.#.....##.#..#..#.##.####..##..#...#.#...##.##....##.#..#.#...###.####......#..##.#.##.####.##.###.##.###..###.###.#..##..#..#.#..#...####....###.##.##..#####..#.#####.#..##..##.#.####.#..##..#.#.##..###....##..#.#####.##..#..####..###....###....###....####.##..###..#.####.#.##.##..#.....#...###.###..#..#......#..#.#....##..##.#..##..#.##...##.#..#.#.####.##..#####.#..#..##...##.#..######..#...##..##...#...#..##.##.#.#.....#..##.####.####.#..#..#..##.#..##....#..##.##.##.##...###.##...#...#########.##.##..#.....#..#...###.##.###.#...##...#.##.###.#..#.#.#.#...#.###...#.##..#..#.#..#.#..#...#.#.##..#.##...#.##..##.#.#.##.##...#.##..###..##.##...#.#....#..##.....###.#.........#.###.#..#..######.#.###..#.###.##.#..##.#.#.#.#.#..#..##..##...#.#..#.#.#...######..##..####..###...##.#...#.#.#..#.##.#####..#.##...###.##..#......##.#.#.####....##.######.#..#.#.##.#..##..#...###..##..#..#...##..###.#..##..###.#.#...####.#..#..#..###.###.#..#.###..#...#.###.#..#.#...##.#####.#.#.#.#..#.#..#..####.#.##.###.#....#.##.#.###..#..#####..#..#####..#.#######.####..##.#..#.#...###....###.####.#.#...##.###.#.#..#.....##...#.##...##...#..##.###.###########...###......##..###.##..#.#...###..###.#....#.########...##..##..##....####.##..#..####.#..#...##...#..####.##.#....####...####.#.###.......##....##.##.#.#..##.#.#.#.###.##.#..##..#..#.#.....##....#.#....##.#############.#......####..##.##.#.###..#.#......#.#...#.###.#..###..#.#.#..##.#####.#.#.#.#.#...###..#..#.##.#.####.#.###..#.###.#...##..#.....#.##.#....#...#..#...#.#..#...######.#....#.....#...###.#....#.##..#.#.#..##.#.....##..#.#.##.....###.###...##.#...#..#..#####......#.#.#.#..#.###.####..#.#.#..###.#....########..#.##...##....#.#.###....#.##...#..####..####.##..#.......###..#..
.###.#..####..#.###.###.#.######.##...#..#.#....###.##....##..##.#..#.####.###.#.####..#.#.#..#..#####...##.##..#.#.........#.##.##.#..##.##.....#....#...##.####.#.##.######..#..###..#..#.#..#..##..####.#..#.####...###..#.##..#........##.#.#..##.##...#...#.#...#....#####.#...####..##.#..#.#.....##.##.#..###..#..##...##.##..##.##.##.#..#..##.####.##..#..#.##.##..###..##..##.#..#####.......#...###.###..###.#.###.#.#.###....#####....#....#.##.###....#.#.#.###..######.#..#######.##..###..####.##..#.#.#######..##....#.###.##...#.#..#..##.....#..#....###.##..##..#...#####.#.#.#...#.####.##.##.##.##.##.##......#...##..#.#.....###.#.###.....#..#.#.##.....#..###.########..##.###.###..#......#..##.###.##.#.###..#.#.###.####..##.##.....#..##....#.###.##..#.#..#.##...#..##...##.#...##...###..##..####.#.....##.###..####..####....##.#.###.#.##...#.##.#.##.#.####.....##.#####...#...##.....##.####...##.#.####.####.##..#.#..#....#####.#.####.#####.#..###.#.#..##..##...#.#..#..###......##...##..#.###.###...####..#####.###.##..#.###....##.#.....##..#..#...##..##.#.#.#.#.#.....##......#.##.#......##.###..##...##.#...#...#..#.#.##.##....##.#.#..#.#...##########.#.#.#...##..#..##.#.#..#.#####..#.#.##.#...##..#..##...#####.####.#....###.##.##...#.....##.##.#..###.#.#.###.##.##.##.#.#..#.##.#.####..###.#..#...#...#.#.....###...####..#...###..#.#####....#..#..##....#..#..#####.##...##..#.#.#.##..####..##..##.##.#..#..#.###..##.###.#.##.....#..###..##...##..#..####.##..##.#..##.#.#.##.....##.#...#..##....#..#....##.##....#.#.#.###.#.....##..##.#..##..###.#.####.#.#..##...#...#.#..#####.#..#.#.##..##.##.#.#...######...###.....#..####.#.###..##.###...#.#.##.#.#...##.#.#.###...#..##...#.#..###....##.###.##.#.####..#.#..#####.#.##....####..##....##..##.##.#...###..#.#....#..##...####.#.###...####....#...##..#.####.###...##.##.#...####.#.#..#...#.####.#.#.##....###.#..#.##.##.#.#..#.......#..###.##.........#..##.##.###..#####.#####..###.#.#.##.#.#...#..#.#.#......##.##.#.#.##.#####.###..##..#.###
#...........#.###.#.#####.#.###.######..#####..#...#...#.##...###.#.#.######.##.#...##...##...##.......####.###......##...###..###..####.#.####..#.....#####...###.....#.##..#....#####..#...#.#.###..##.###.###..#.##...#...#..#.....#.#.##.#####.###..#.#.#....##...#..#..#..#.....##.####.###.#.#####.##.##.##.#..##.#....##....##.#.#..##.#######.####.#.#.##.#.....#.#...##.##....#.#..#####....##.#.....#.#..#.#.#.#.##...##.##.###..#..##..##....#####..#.#..#.##..#..##...#.....#.#.##..##...##..#..#.#........##.#.#....####.####..##.#.###...#.######.#.#...##.....#..##.#.#..#.###.####.#..###.#..#..##.#.####......##.#...#.#..#.#.####.########..####.###.#######..###.######...#.#.##.##....##..#...#..###..##.#.#..#.###.#..#.#.....##.#..##...##.##......##.#..#..##...#.##.#.##.##.#.##..###.#.########.#.#.##..####..#...####.#..#.#..#.###..........##..###.....#.##..#..#.##....#.##..######.###.#...###..#...#.#...#...#.##.....#.###..#......##.#..#.#.#####.#..##.#.#..##.#.#.#..##.###.##.#...#....########.##.#.##..#..##..#.#..####..###..##.##.##.###..#####...#.#....#...##.##.#....######.##...#.....#...####.#.#...###.##....#.#.########..#..#.....#.#..#####.####...####.##.#.##..##...#..############...#.##.#...##.####.#......##....##.####..####..###.##.#...##...#..##.#.##.#.#.#.#....#...#.####.#..##.#...##..##..#..#.######.###..#.#..##..##.....##.##.####..#.#.#...#.#.##..###..#..#.###.#.....#...##...##..#...######..#..#.######.##.......#....#..#.#...#..#..##....#.#......#.#.##.##....#.#...##....#.#.#######....##...#.#.##.##....###..##.#..##..###..####.##.##.#.#####.##.#..#..##.###..#.##.###.#...###.#.#####....#..###.#..#..##..###.#.###.####....########.##.####.####.#..###..##.#..###.#...#.#..#....#..#..##.#.###.#..#.###.###..###.#.##.####...######.##.#..#.####..#....#####.#...##.#...##..##.#..#.##.#######....##.###.####..####.#...#....##..#.#.#..##.##.####...#..#.#..#.##.##....######.......#...#.##.##.#..##..#.###.#..###...#####...#...#..###..###....#..#.#....######.##.###..###.#.#..##.....###
#......##..##..#.###..#...#.#.####.#.#####......##.#....##.###.#..#..#.###..###...##..####....#....#.###..###....#..#..#.....##.....#..######.#.##....#.#..##....#.#..#..##...#.#######.#...#.####.##.#.######.....##..#.##....#.####....#.##........##...#.##.##.#....#..#..###.....#....###..#..#....#.#........#.##.#..##..##.##.#.####.####...###...#.#..####.##.#####.###..#.#..#.###.#.#......###.#..#.#..#####.##..##..##.....#.##..##.##..##....#####.#.#.####..#####..#..##..##.####...##...##...##...#.###.#..#..####.##...#....##..#.#..#.##...##.#######.#..###..#...######.###.............##.#.#...#.#..##..##.##.##.#.#..#.#.#.#.#........#...#.......####.#.#.#.#..##....#...#####...##.......#.#.#..##.#....#....#..##....#####.#.#.#.#..###.....#.#.##...####.####..##..#.#.#.#...#..#######..#..##.#..##.#...#....##..##..#####....#.#.#.#####.####..#...###..#..#####...#.#.##...#.#..#.#.#.##..#####....###.#......#...#.#.##...#####..##.#..#..###.#..###...#####.#.#.#.##.#...#.#.......#..######.#..#..#..###.#####.#.##.##.....######....###.###..#.#...#...#..#..#.#######...####.##.###..#.#.##.#.#.#####...######.#.###...#...###.#######..####.#...#.##.#....###..##.##..#.#.##....###.##.##....##.....#.##.#.....###...##.####...#..#.#....##...###.#######.##..#.#.#..###.#...#.#..###...#..#...#.##.##..#..#........###.#.####.#..#.##.#..##...#.#####.###.#.##.#.###.######.#..#######..##...####.##.#####.##.#..##..#.##...#.#...##.#.#..##..#.#.#.#.#....###..###......###.....###....##..###.#.#.#.#####..##..#......##########.#.#..#...#.#######.##..###..###....##.#.##...#.##..##.###..#.....#..####...#.###...#..#.######..#...#####........#.#..#.#.#.##...#....#..#..#.##..#.##..#...#.##.....#.#...#..####.#####.####...#.#....#.###.....###.##...#..#..##..##.....#..#.#.####.#....#...#.#.#.#.##.#..##.#..##..##.##......####..#######...####..#...#...##.##.#...##.#.#....###..###...###.#..#...##.##.#...#..###....#..#...#....#.#.#..##.###..###.#.##.##.#...#....####..#####.##.######.##..##..#...#..##.#.#....#.#.#.#.#..#..
.####.##.###..#.#.....###.##.#.#..........#####..#..########..###...#.#.###...##.##.###.#....#...##.##.##.#..#.#####..##########..#.####..#....###.#.##.........###....#.##...#.####.##.###....#.#...#.#...#.....#.#.#.##...##.#.##.#.###...##..##.##.######..#######.##..#.#...#.##.##....###.###.###......#...###.#####.#.###.#..##.#.#.##.#..##.###.##..##...##....###.###...#.##.#.###......#.###.#.##..#...#..#..#..#..####.#..#.#.#.#.##..........####.##.###.###....#####....###.####.###..##..#..#....####.##...##..#.#..###..###.##.##..#.##.##..#..#.#.#....###########...#.#..##.##..#.#.#.#..#.##...#.#..#.#.#####.#.#..#.#...#.#.#..#......#.####.....###...#...#.#.#.#.#..###.#.###..#......#...###.#.###.#..##.##..###.#.##.#.#...#..#.......##..#...##..##.#####.#.#.#.##.###.###...###..#..#..##...#.#.##.#########...#.###...###.#.#########.###.#.#.####...#....##....#..###..#.##...#######.###..##...#...#...#.#.##.#...#.#.##.##.#.#.#...##..##.####.##..###.##.##.###...#.#....#.#..#.##.......###..#.####.#..#.#.##.#.##.#....#.##.#...##.##.#..#.##..###.###..##.##.#.##....#.#.......#.###...##..###.#...##..###...##...#..#...##.##.#.###....#######.##.#..##.....#....##.####...#.#.#.####.#..##....##.#.##...#.##.###.#...#..#.#...#....##.####.####..##.####...##....##...#..##...##..#.#.##..##.#.....##.#..####...###..###..#..#..#.##.##.##..##..#.....##.###..##.###..###..#.###..##..#..#.....#..#..##.##..##.##.#.####..###.##.##.#...###..##.###.....####.##..###.####.#.##.####.##.#..#.####.#.#####..##.####.#.#.####..#.#.#..#.##.##...#.####....###.....#.##.#.##..##..#.#.##.##..##..#####..#..##.##..######.#.....#...#.#.##..##......#...#...#.##..#..##.###.##.#...#.#.#####.#.#...##.#.#...###..####.#.#.###.###...#.##..#...###..##.##..#.#.#.######.##.#.###..##....#..#.##..#####.####.#..#....#.##.#...#.####...####.##.####.....##.#...#.######.#####.....#..#######.#.##.####..####.####.##....#.#..##.###.##.#..#.#.##.###....#.##########...##.##.#.#..######...#.#..#.#..####..###.#...#.#..###.##.#.##.........###.#.##.
.#...##.###....#..#...###...#..###....####.#.#.#.#.###.#......#.#......####.#..#.###.....###........##.....#...###..#..##.#.#.######.#...#####.#.####.#..##..#.#..#....####..#.#...#...###..##.....###.#.#....#..##.#.####.###.#.#.#..#..##....#..#...#...#.###.####.#...##.#........###..#....##.#...####..####.#.#..#.#.##..#.######....#..#..###.##...#####.#.#.##.#..#..#...#....###.#...####.#.#..#..##.##.#######.##......#.#.###.#..#.###.......#...#.###...##...#.##...#...####.##...##..#.....#..#.#.#...##...#####....###.....#.####..###...#......#.###.#..##..#.#.###......###.....##.##.#......##.##.#.##.#.#.#######.###..##...###.###.#.#......#.##.###..###.##.#...####..###.#....##..#.##.####....#.#..##...#.###.#...##....####....#...##.#.##..#.###..####.####...##..#.#.#...##.#.###..#...#..#.#...#.##..##.#....#.#.##....##.#.##.#######.#...##....##.#.....#.##..#.#....####.##...##..###..#.##.#..###.#..#..#..###.#.#..##.#.###.#.....#.#.##.#.###.....###.##..##.#..#####.#.#..##.#.####.#.....##..#...#.##.#..##.#.##...#.....##.###.....#.##.#.###.#......##......##.##..##..###..#...##..##.#....#...####.#.####....#..##.#...#.#...#..###.###.#.##.#..#...###.....#.##...####.#.####.##.#..#.#####...#.#.###.#..##...........#.#..#.#.##.......#..##..###.#.#.########..###.###.###..#####...#####.#.##..##.#...###.#...##..##..#..#.##.#.#...#.#.#####..##.....#.......##..#....#.##.#.######..#..###.#.#..##..####.#######..##....#.#######.##.#.#..###..###.#.##.##.#####..#.#....#.###..##...##.#.###...#.#######...#.#.###.##.########..##...#....###.#.#....##.#..##..#.##.####.########.#.....###...##..##....##...#.##.##...####.#....#####.#.###.#..##..##...#.#..#####.#...###.#....#####......#.##...#.#..##..#..##.#.#...########..##.....#.#.#...#.#.##....#####..########.###.##..#.#....#.#.###.....##....#..###............####.#..##.#....#.#.#.#.#..##.######..###....##.#..#...###....#.#...##...#.#.#..#.#.#..##.#.#...##.#.#.##.###...######..##..#...##.......#...##......#.#..#.#..#..##....#..#.#.####..#..#..##.##.###.#
#.###.###.##.#..#.####..##.###.#.#.###.##....#.#####..#.######..###..#..##.#.#.#.#.###.###....###..##..#.##.###.##.##.##..#....#.#.#.##.#.#######..#.#.###...#.#..#.#.....#..##...#######.##.#..#..##...##..#...##.###.#.###.#.##.#.#..##.#...#..##.#....##.#.##..#..#...###.##...#..#..#..####..#.##....##..##.#.........#.#####.#.###....##.###.#..##...#.###...#......#..######...###.#.##.#####.##############......####..##.#.###.##.#....#..#.###..##..####.##...####.#.##.#.##.#......#.####..##........#.#..#.#.##.#...##...##..#.#.#.##.#.##...##.##...#...###..#..#.##.####...#.#.##.#.....####.#.##.#.##..##..##.####...##.#..#..#.##.#..#.######....##..###.#...###..##.#.##.#..##...#.#..#..#.#....##.#......##.#.##.##..#.#####.#...##...##.#.##..#.##.##.##..#...#.###.####.##...##.#.....#.....###.....#..#..###..##.#........##.####..#.#..#.#..#.....#..#........#...##.#####..######....######.##.#..#..##...#.###.....#........#..###....####.#.#..####....#..#.#..#.#.#......#..#..#...###..#.###.##.#..###...#.####.##.##..######....###...#...##.#.#......##..#..#..####.#.#...#.#...#.##.##.##.##.###...##.#.##....####.##..##..##.##.....#.#.#####.##..#..#..#..#.#...#..#.##..##....##..#.###.#.##.#######....####.#....###..#.#####..###.#..##.##..#.##..##..#....#.#..#.#######.#####.#.##...#....#.###....##..###..#.#####.##.#.#..#....#.##.###....##.########..#..###.#.#.#...#....#...##.##.#...##...#..##....#.....###.#.##....##...#.####...#..###.#..##.#.#######.#####.##....###.#....###.......#..#....#..#.#.##.#.##....#..#...#..#.#.##.##.#.#.###.##...####....#..##.##..#.###.#..#....##.......###.###.##.##..##.##.###.....###..##..#######.##.#.#.#.#....####.###...#.#####...#..#.#.#..##.#...#.###......###..####..##.###..##.###.##......#####..##########..#..##..#.##..#.....###...####....##...##..#.####..#.........####.##..#.#..#.#.##.#.###.###..#.......##..##.##.#....##.......###.##.#.###..###.#.#..##.#####.##..####.#...##..###...#..###.##.#.......####.####..##..######.#..#.#.###.####.....#....######....##.#.###
....#..###...#......#.##..##..##.###########...##...####.#.####.#.#.##.##.#.##.#.###.#...#.#.##...#..##..####...###..##..#..###.#####...#..##.#######......#.#...###......###...###..###.##########.###.#.....###.#.##..#.#....#.#..#..#######.##..#.#...##.#.##..#.###.##..#..#...#.#.##...##.#..#...#.######.#..#######..#.##...#..####..#.#.###.##.#.#####..#.##.....#.##..###.##..###.#...##.##...######.#..#..#..######.#.##.#.#......#.###...#.....#.#..#####.##.#.##.#....##.#.##..##..#.##..##..###...###.###.####..#####..#.##.#.#.#########.#......#.#.##..####.##..##.##.####.##...####..##.##....##.##....#.....#..#...#...#.#.##.#####.#..###..####.##....###...#####.##.#.#.#.##.#...#..#...###.#..##....#..##...#.##.#.....#..#..#..#..#...####..###...######.##.#.##.###....#.####.#..###...##.#.....#.####.###..#.####..####..####...........#...######.#..#....#..#.....#.##.##.###.#..####.##.####....###.#..#.#.##..##..#...#.#.##.#########..###.#.##....##.#.##.#..#....###.#####.#.##.##...##..#.##..##.##..#####.#.##.###..#.##..##....#....#.#.##.##..###....###.......#.#.#####.#....##.#......##.##...###.#.##..##..#..##.##.#.#..##.##...#####......#.###.##.####..#.##..##.###.###..#..#.#.....#..###...#...##..##..##.##.###.....#....#.#.......####.........#.##..#.##.###...###.####..##.#.##..##.##.##..#.###.##.#...#..##.###......#.....##..#.#.....#.#...#######...#..#.##.##..#.#....#.##.#.##.#....####.#.#..##..###.#..##.##...####.##..######.##...#..#...#.##.##...##..#######...####.####.####...#.####..#..##.###..#.#######.#.#####..##.#...#.#...#.#.#####...#####..#..#.#.####...###..##.##...#.##.#.#..##...#..#.#...#.#.#..##.#...##..#####.##.#####.#.#.#..#.###.##.##...#..#.#..##.#..##.###.###..#..##.##..#..##....#..#..#.#.#.##.#.####..#.#.......#.###..#.##.##.#.#.#.#....##.###.#.##......##...#..#.#.#.#.#...#...##....###.###.###.#.#.#....###.####..##..#####..###...##..#.#.#.######......#.##...#...###.###.##..##.####..##.##.#...##.#########...#.#...#..##..#..##....##.##..#..##.##..#........###....#.....#.#
.#.#.#.#.###.##....##...#.##.#..#####..##..##...##.#..#.###...###.##..#.#...#..#..#.#.##..##..#..##.#..#...#..##.##..##.####.##.####...#######..###.#..####..#.##.....#####...####.#...#..###..##.#########..#.#.##..#.#..##..##.#####.###...##.##..#####.#.#..##.##.#.#.#.##.####.#.##.#.###....##.#.#####.##.#.###.#.########.###.##.####...#..#.##...#...#.#...#..##.##.###...#.##......##.#.#####.....#.#.#.....##.##...#.#.##..##.....#...#..#..#####.#.#######.##.##...##..#.....##.######...#.#.###.#.#.#.#####.#.....#......##..####....#....#...##.####.##.#..###..##..##.#.#.###.#..##.##.......#.###.##.##.#...##.#......#..#..##....#####....##....#.##.#.###.#.###.#.#...#.#####.##....#....#..#.#.##....#.##..##.#...#....##......#.##.#.##.....#..##..#.#...##..####.##....###.##.#.#..#####..##..#.#.#.###.....#.#.###.###.####.###.#.######.#..#...##...#.#.##.##..##.#.####.##.....#.#####.#.##..####.##.#...##.#.#...##.###.##..##.......##.#####...###.#.#.#..#..#.#.#.##.##.####.......##..######.##.#.#.#...#.###.##...##..###....###.....##.#.#...###...##.####.#..#.#.....#.###.#.##.#...#.##.....###.#.#.###..#....######...##.#####.#.###.#...##.####.#..#.##..##......####..#..#...#...##.##.#.###.##.###.#.#.....#..###..###.#..#..#.#..#..######.....#..#...#######..........##.#.###.####.###.#..#.......#.##.#...###..##.#....##.##...#.########.#.....###.#.###.....#..##.#..###.#..###.##.###....#.#.#..##.#####.#...###...#..#..##...##########.####.#.#.######.##.##.##.#..#.#.#.#.##.#.#..##.#....#..#.####.###.##...#..#####..###.#.....##.#.##.#######.#...#.#.##.####....######..##..####..###..##..##...###...###.#.#...###........##.####.##.#####...####.#.#...#.#.##..#..#....#..####.#..##..#.##.....#.####.##.###...##.#..#####.###.##...##.##.#.#.#.#.#.####....###.#.#...##.###...##.#..#..##.#.#...###...##.##.##..#...##.....#...#.###.#.##.#.#.#....##.##...#######..#...##..#.#...####.#.###..#.#...#..#.#.....##..#.###.##.##.#..##.#.#.##.##.###......##..#.#.......#.###.#.#####..#..##.#..######.######..###.#..#...#....
.#.#..#..##.#.#.####..#..#.###...###.##....##.##.#.##.#..#....#..#..#..#..#.#.####..#..######.##.#.....#....###.#.......#....#..####.##....###.#...#.#.###.#.#.#.##.#...#..#####..#..##...####.##.#####.......##...###.####..###....#.##.#...#.###.##.####.###..##..#..###..#.###.#.##.#..##...#..###.#..#.######...#......##.#.##.#.#.....##..###...###...##..#.#.##.....#.##....###...#.####...#.#...#..#...#.##.#.##########.#..#.....##.#..##.##....#.######.#.#...##..#.###..#..#.#######.#.####.#.#...########.#..####.##.#.....#.##...#..###.##.#...#...#..#..#####...#.#.#.#.#.#####..#.###.##..#.......#........##.#.####....#.###.#.#..#..#.#..##..#...#.#.##.#..#.#.#.#..##.###.###.##...#....##.......#.#...##.####..#####.#.#.##..#.#.###.##.#...#####.#....###..#...##.#...##....####.##.###..##.##.##..####.#...###.#..#...####..#...####..#.#........#.#.#..####.##.###.....##...#.##.#.#########.#.......####.#####.#...##.####..##...#.....##.###..#.##..#.#....###.#.#.#.#....#.....#....#...#....##.###.##....#.##......#.#...#...#.#...#..##..#.#.##.###..#.#...#..#.#.#..#.#.#..##.#.##.#...#.#...##.#..##....####..####...#.....##.#.#####.....#.####..##.#.#....#.#..##.##....##...#.##..#....#..##.#.#....#...#.###.####.##.####..#..####..#..###.#..#..##..##.####..##.....##.##.##.####..###.#.....##.###.#.#.#####..#....##...#..##....###.....#.#...#.###...#.###....#.####.##.#.##.####...#..#..###....######..#.....#.#.#...###..##....#.##.#....##.#......###....##..##.####..####.##.###..##.####...##.#.###.####..#.#..#.#.###..#..#..#.###.#.#.#..#.....##..###....#..##..##.##..#...#.######.##...#.#...#...#......#.##.####...#..#..#..##.....##.....####.#........#..#.#.....##.#.##..#.####..#.#..#.#...##.##..#.#####.#.....#...#.....##.#..##.#.#...###......#..####....#..##..#..##.#..####.##.#.#.#.###.###...##.###.#.###..#####.#..###..#...##.###.#.####.#.##.#.##..##.##.###.#.###.#....######.##.#....#.#..#..###..#####..###.#.###..#######.#.##.##...#.#....##...#.#..##.#..#.#.##.###.#...##.....#..#.###..###.....#..##...##
..#.##.##.#...#.#...#.###...#..#.##.#####...##......#######.##..##..#.##..###....#...#####..#..#.##.#.####.##..#..##..#..########..#.#.#.##.#..#...#.#.#..###..#.#######..##.#..#.###....#.########....#####..#.###...#.#........###..#...###.......###.##.##...##.#.##..###..#.####..#.##.##.#..###....###.##..###.#.#.#.......##.#..#.###..#.#####...#....###.#..##.#.#.#....#..#....##.##..##..########.##..#....###..###.#..#.#.###...####.#.#..#.#.##...#..#...#.#.....##.##.#.....##....####....#..#...#..#....######..##.######..###....#..###........#..#...#....##...#####..###.#...#..#.....###..#.###.#.#.###...##..####.#.#..##.#....#.#.#..#####..#...####.....#.#.##.####..######.#.....##......#.#....#.##.###.#.#.#.#.#.####.#...###.###.###.##..###.##..##.###.#..###.#.##.###..##.##...###.#.##.#.###.#....#####..##.##.#...#.#.#.#.###.#..##.##..##..###..#.....#.........##...#.#...##.####.#...#..#.#.#....##..###.#.#..##...#..##.########.##.##...#.##.##.###..####..##.....##.#.####.#.##...##..##.###....#..#...#.##....#.#.###...##.....##.###..######..##.###..#..#.###..##..######.##...#....#.#.##....##.##.#...##...#.#...#.#.####....##...#.....#..#....###.#.#.###..###.##...####.#...#.....#.#..###.....##.##..##.#########..##..#.....#.#.#.#.#......#.#########.###...#...#.##..#.#.###....###.######.##.##.#.######....#.###..#...#..#.#..#.##.####.#####.###.#.#.###.#....#....#.##..##.#.#...#...##..##....#.##..#.#...#.##..###.#..#.#.#.....##.#...#.##.#.#.#####..##....##.#..##...##...###..##..###.#.#..##...##...####....#.#..#.#....####.#...##..#..#......######.##.....#............#...####...#..##..##.#####.#.###.#.##..####..#.##...#..##..#........##.####.#####.#.#...###..#...#..##.##......##....###...###....##..#.#..#.#..#.#.###..#.#...#.##.###.#.#...##..####.#.##.........####.#...##.#...#.###..#.##..#.###.####.##.#...##..#..#...#...##.#........#...####.##..#...#.#...#.#.##.#.#...#.#.##.##..#.##.####.#.......#.##.###.#.###.#..##...##.##.##.#######..##...#..###..#######..###...####.####.##..#####.#.###
.##.######...#.#.##..##..##.###....##...##..#..######...#####..##.#.###.#....##.#..#...#...#.#..##.....#.#.#...#.###.######.###.##.#.#.....#.##..#.#...#######...####.#......##..#..##....#....##.#..#..##..#..####.##.###.#..#.#.#.......##.#.#.#.#..####...#..##.#######....##..##..##.#...##..##..#.##.#.##..#..##.##.##.##..#..#.##..#.#...#.#..##.#.##.##..##.##....###.#####.####.#...#..#.#.###..##.#..#...#..#####..#.#.#..##.###..###....##.###.#.##.#..##..#....##.#.##..##......###.#...###..##.###..####..###....#....##..#...#.....##..#.##.#.#...#.#####..###...###..#.##.###.###.##.##..##...###.#.#..###...#...###.####.##..#.##.##.##.###.###.#.#...#..#.#######..#######..###.#...#..#.#..##..#######...####.#.##.##.#......##.#......#.....#...#.#....#.#.....##.#####..##.##....#.#.#.########....#.###.#.##....##....##.####.##.#.##.#####.#.#....######.#.#..#.##......######...#..#...#......##...######.##..#...#.##..#.#....#...#....####...###.#..#.##..##..#.#...#.#.#....#.##...#.#...#..#.#..##.#.##...#.#####.#####.#.##.###...#.#........#.#.##.#.#..#.#####.##..##.#.##..#.....###..#.##.##.#..#..######...#........#.####....#...#####........#....#.#######..##...#######.####..###.#.#..##.#...#.#..#.......##..#.#.##.##.#...##....##..##.#.#.#.#.#...#...##...####.#...###.##.##.##..#..#....#.##...#########.##.##.##.#.#.....#...##.##.###.#.#.#..####.#....#..###..#.....#.#.#..#.###...##.####...##..####.##.#.#......#..##.#.###...##...#.##.###...#...#.#..########..##.#.####.#..#.####...#.#...###..#...##..##..#..####.#.....###...###.##..##.##.###...########..#...##.#...#######.#.....####..##..#..#.####.##.#####...#.##.#.#......######..#.#...##.#####.....#...#..#...#...#.#.#.#..#.###..#....#..##.#...###.#.......##..##..#...####.#.##..#...#####.#.##.#.#.####.####.#....##.##.##.##...#..#...##......#..##.....#..#.#.#.....#.######.###..####.####....#.#........#...##.#..#....####.#.#.#..##...##.....##...#.....#.#..#.####.#.....#...#..##..#.#.####.#.#.##.....#......#....#.#.##..#.#####..#####....##.##....#
#...##..#.....#.....#..####.#...#.######...##........##..###.....#####.####......##.#..#.#############..#.........#.#.#..######...#.#.##.#..#..#####..####.#...#.....##..###.#.#....#.#...###.#####...##......#.#.###.###...#.###.#.#.#..#.#.#...#....#..#...##.#..####.....###.##....###..#....#.....###..####..##.###.#.###....#.....##..####.#.#####.#####..#######.##.##.#.#.##.#..#.##..#.####..##.#.#...#.#.#...#.#.#.#.....###..#.#..##.#.#...##.###..##.#..#.###..#..#.###.###.###...#..##..#..#.#...#.#..#...##..#...#.#.#.##..##.##........###.#.#.####.#.#..#####..###.##...##..#.##..#..#######.#.###.#.......########.##.##.....#..#..#..####.#####.#..#..####..#########..###.#..##..#####....#.#.##.##.###.#...#.##..##.#.#..##......#...#.#.#........#...##....##..###....#####..#.##.#..##.#.##..##...##...##.#.....##...##..#..##..#....##.####......##..####..#..###.###........#..#.###.#..##...##..####..#.##.####...#####.#.###.#....#..##..###..###.##.#####.#...###.#.####.#...##.#..#.##..#.#.#####....#####.....#.#...##..#####..#.#...#....#....##..###...#..##....#########..#...##..####..##..#.....###.#.#..##.####.#..##....##.##..####.#.#..######...####...#.#####...#######.#.#...##..#........#..####....###....#.##...###..#.#####.##...#####.#..#..#..####..###.###..####.##.....#.#.......##..#.###..##.####..##...#...##..##.##...##.####.####.#.#.###.#.####.#..#.#.##.###.#.#########.###...#...#.#.##..###..##.#..###.##...##....#####.#######..#.#..#...####..#####....#.#.##.###..##..##....#.##...##.###..#####.#..##.###.##..####....###..#.##...#.####.....###.###....####.....#.##....#.#....##.##.....#.....##..#..#.#.#...##.#..##.#.##....#..#...##.#..#.#.##..####..#...###..#..#..#.#....#.#.###..##..#.##.###.#####......##.#######..#..###...#####..##.##....######.#.#.###..#.#...#.#....#.#.#..##.#..##..##.#..#...#.##.###...####.#.##.##..#.##....#...##.#....#.##.#.#.#######..#..###..#..#####..##.#..#.#..##..##.####.#.###.#.#.#.####.#..#.###.###...###....#.##....###..#...#.##....#...####...........##.####.#
##...#..#.###.##.##...#..#..#....##.######.#.#.##..######...##.#...##.##....#..#..#.#.#.#....##.#.#.#..#.###..###.#....##..#.##.#...#####....##.####.#..#.######.##.#...###.#.##..#..##.#...##.....#..#.##.#....#.###.###...######.#..##..#...#.......##..#.#.###..#......##......####.#.###..##.#######..###.#.##..###..#.#...###.###..#.....##.#..####.#.....#.#..##..#....#..##...##.#..#######.####..###..####.###...#..#...#.#...#..#...#.###.##.#.#..####.#.#######..##....#.#.#......#.###....##...#.##.#..#.#.##.##.#.....##..###..##.#.#.#....#.#...###...#.##..##..#..#..####..#....#.#.###..#....#.#..###.##..###...#....#....##.#.####....##.....#.#..##....###.#.#.#.#...#.#.#######..#..#.#.##.#.#...######.#####...##.#.###.#.#####.#..#.##....###..##.##.#.#..##.###..###...#.##.....##..#.......#..##.##.##.##..#..##.#..#......#...#.#.#.##.#.##.....#.#..##.#...##......##.#.##..###.#..#.##..##.#.####....#.#.##..##.#..##..#.##...#...#..###.##..#.#.#..#..#...#..##.#.#....##.#.##.#.#.#.##.##.#...#.######...##.#..#.##.....##.###...#.##.........##.##.#..##.#.#..#...#......###..##....##.#..##.#.....#.######.####...##.....#....#.#..########.##....#.##...###.#...#.##..#..#.###.###.#.#.#.....###...#.##.#.#......#..#.##..#.#.#.#.#.#.##..###.#.#...###....#..#.....#..#.#..#..####.###.##.#.#.#.#...#.####...###.#...####...#...######.#.##.####.##..#..##...##.#.....#.#...#.#####.#.#.#.##.##..#..###.....#...##.##...##...#.....###.#....#.####.....#...#...#.#.#..#..#.#.###..####....##.##.##.......#..##.##.#######.#..#.#.#.###..#.#....#..##.##.#.#.#.##.........##..###......#.#.##.#.#.#.###.####..#...#....#.#.#.##..##....#.#.##.##..####.#.##.###..#.....####...##.####.#.#..##..##.#..#...#.#...####.#.########....#...#...#..#..##.#..##.##..##.#...##.#..##.###..#.###.#.#....#.#..#.#.####.####.##.#..#...#######.#..###..##..###.#.....##......#.#..##.#..#....#####...##.#.#..#####...##.#....#..##.#.##....#....######...#..#...#..#...#..##..#..#.#.#..##.##...####....##....###.........#.##.#..##.#.####.#.#..#.....###.##
#.##..###..##..#..#####.##..##.#.##.###...#..###.###..#.#..####..##.##..##...##..###.####.##.###.#####..##....#.##..#.#.#...##.###...##...##..##.#..##.#...##.#.##.......####.####....#####.##.#.#..####.#....#........#.#..#########..#..###...#.##..######.####..##.....#....##..####.#..###..#.....#..#....##.##..#.....#.###.######..##.####..###..#.#####.....##.##.#...#..###..###.#....###.#..#.#..#..###.#..####...#....##..##..##..####.##.....#..####...#....##.#.#..##.##..#.##.###.##.........####..#..#.#.#...#####..#..###.##..##..#.#....###.#...#.#####.##....#.#####..####...###..#.......#..#.#..#...#...#.###...#####.######.#...#.##..#.##.##.#...#####.###.#####...#...###.##.##..#..#.########...####...#..##.###..#.##..#...###.####....#....#..##.###...#...#...#..#..#..#.##.#####.#....#.##..##...###.#.####..##.##...#...#...####...#......##.##.#.....#...#.####...#.###....#####.#..###....#.#....##..#.#..##.#....#.#..##..####..#..###.##.####...#..##..##..#.#.##.##.#...##...####....#..##..##.#.#....#..#.#.#.###.##.....##...#....#.###...##...##....#.....####.###.##.###.#...#.##.##.#.######...###.###.#..#.#####.#########..#..###..#..###.#.####....##.####.#.#.....##.#.#.#.#####.#....##..#.##....#.##..#.#.#.#.##.#.#.#.#.....##.#.##..#######.#...#..##.##.#.###..##.###.##..##.#..#.....#...#...##...#...######..##.....##..##...###.#.#.......#.#..##..#..#..##....###.#..#########......#.##..###..#..###...###........#.##.....#.##..######.#.###.#...#....######.###.#####..#...##....##.##.#....##.##...#.##.#..###.#.#....#########...#.#.#...#.#..##...#####.##...#..##.###.#....#.###..####.###......#.####.##.#..#....##.#......#.##.##.#..#.##.#....##......##.#.#...#..#.#..##.#.....#.#.##...##.###.#####...##..###.#######.#...##..###..##.#..#..###..####.....#..#.#..#.#....###..#.#####...##..##########......###..###.##..##.##..#.#..##...#....#...#.###.#####.#...#..####...##........#....#..#.###..#.#..#...##.....###.#......##......#......##....####...########.#.#.#.#####..#.###.....###..###.##......##.
.#...#####.#.#...###.##.##.#...#..###.###.##.#.#.....#.##.........##...###..#..###.#.##..###..###..#..######..#..#.#..###.##..#...##.#.#.##....##.####..##.##.####....#....####......###.#.####.#.#.#..##..#...#..#.#..###..#.#...##......#.##.####..###..####..##.#.###.#..###...###...#....#...#.##.#####.#.#######..###.##.###..##...##.####.#.####...#....#..#.#..#..#..####..#####..##.#.###....#.##.##.....####.#...#..#.###.#.#..#...##.......##.#...##.#..##.#.##.#.#....#..#.##.#.####.#....##.#.....####.######...#.###...##.##.####.###.##...#....##...###.#.##....##..#..##.#..#.##..##.##..#...###.#.#.....#.#..##...#.###.#.....##...###.##....##..#.###.#####.#..##.###.#...#..#..#.#.##.##.#.....###...######..##..#..##.#..#.#.#...#...#..###.#..#.#.##.#####.#..#....#..###.....#..#...#..#.###..#####..#..#.#.##.#..##..##..###...#..###..#.##.##..#.##..##...#.#.#.#######.##...###..#...##..#..#...#.#..####.#.#.#.###..###..#.#.##.###.##.#.#..#....#..##.#..####.....#......####.....##....##...#...#...#.#....#...#..##.##.#.#.####..#..#.###..#.#.....##.....##.##.#...##..#....##...##.#.#.#.#...#.###.##..###.##..#.####.##.#......#.#...###.####...##.#.##....##..####....#.#..#.#...##.##.....##...##.#.#.##...####..#.#..##.#####....##.......#.....#....##..#..##.#..#.#.....#.....###.###.##.##.######.##...#.###...#.#.###..###..####.#...#...#.##.##..#####.####......#.##.#.##.#..###.........#####.#....#..###.#.#..#..#..#.#.#.#.....#.##...#..#.##.#.##.#...###.....##.#..####......##..###.######.##..##.#...#.#.......######.#...##...##.#.....##.##......#.#.####.##.#.#..##.#...#.#..##.#...#..#..##.#...##..###.##.##...###...####..#......###.##.......##.....#.###.####..###..#.##...##..#.##....#....##.#.##.......#..#.######...##.##.#..#.#.##.##..#.##...####..###.#..#.####......##.#..###.###.#####..#....#....#.#.#.#....#.....#.##.###..#.##...##.##...####.##.##..#.#..#####.#.#...#..####.##.#.#.#...#.#...#..#..#######..###.###.##...#..#.....##...##.##.##.#.##...###.#.###..#..####.....#..###.##.###....##..#...##..
#.#####...###.##.##.##.#....#..#..#..#.#.##..##.######.##...###.###...#...#.#####....######.#.#...###....#......#...##..........##.###.#.#####...#.#####.###..#.#####..##.#.####...#.#....#.#..#...####..#..#.##.#.###..##..#.#.....##.#..#.#..#....#.#...#..##..###.###..######.##.#.#.#.#..###...#.####.....#####.##..####.....#....#######.#.#.##...#.#.#....##..#.#.##.#.#.##..######....#.#..#.###..###..#....##.##.........##.#.##.#.##.##.#.#.##.######..#...#.#.#####.##..###.##.#.##.#..#.....#.#....#.##...##.##...#####.###....##..##........##.#......#.##.##...#..#.#.##.#..#.####..#..###..#..##...#..#..#..#...#.#..##...##......#.#.....#..#.#..##.##..##...###..#..###.#..#.##.#..########...#.###..#...#..#...##........##.#..#.#####..#.#..#...#..##.###...#.#.....###.######.#.##...#...#.#....#.##..#..###.##.##.#..#.....####..#..##.####..#..#...........#...#...#.#...##.#.###.#.##..#.#..##....#.#.......##.#####.#.#.##..##..####..#...#....##.#.#...#..#..#.#####.##...####...######.#...###.#.####.####.###.#####.#..#.#####..##.###.##...#.#######.#.#..#..#######.....##..#.#....#........###...##..##.##.##....#..#####.#...##.#.##....#.###.#..##.#...###.#.#...#######..#.#.###..#####.#.##.###..#...#..##.#...#.##.#..#.###.##..#####..##.....#######....#..##..#....#..###....#..#.....#.#..#..##..###.#######..###.##.#..#.#..#..#.#...#.#.....#####.##.......#####.....##.#.###.#..######.##.##...####....##...#...#.#######....#.....##.##.##.#.#.##.###..#..#...#.#...#.#..##..#..##.#.####.#.##..##.###....#.#..#####.##.#...#..#..#....##.##.#....###.#####...#..#...#..#..##.####.###..#..###.##..#...##.##..#.#............##..###.####.###.#.###.##....#.#.#...#.#..#..###...#....#......#..........####...#..####....##...#..##..####.#..#####.#.##.#......#.#..###..###....####..#...#######..##..#..####.##..##...#..####..#....#.##.##.#....#..###...###.######...#####.##.#####....##.....#..###.#.#.###....###.#....#.###.#..##..#.......#...######.#.#..#####.##.##.#...#.#.##..#####....#..#.#.#.#.#.##..##.#.#..####...#..#
#..##..##....#...#..#.#..##....#.#.#..#.#.#.#..##.#.##.####.##.#..##.####..#.####.##.#.#....##..###.#..#.##..##..###......##...####.#..###.####.##.##.##.#.##...#.....##...###..##......####.#...#....#...#.....#.#......#.##.##.#####.#..#.....###..#....#.#.##...#..####...###.##.#....#..#.#.##.#.#..#..###.###.##..##...##....##.#..#.##.#..###.#......##...#.#.#.#..#.....###.#.....##..######.....#..##..##.......#.##.#.###.##..#.####...#......##..#..#.####..###.#.#...#.#..#.....#.#.###.##..#.##..###..##.#.####.##..#.......###...#....###..#.#......#.##.####..###.#....##....##..#..#####.##.......###.#.##.##.##....#...###.###.#..#......###...##.#.#####.#..#..###.##..#.#.#####..#.##.#.####.##...#.#.#.##.....#..#.##..#..##..#..#..##.#..##.##.##.####....##.##....####.......##...####.####....#.#.#.#.###.#..#.....#...#..##.#.#.#...#.##..######..##...#...#.#.##...#...##..#.#...#.....#.#.#...###....##..#.#.##.#.#.....#.#....#.##....##.###.##.####..#.##.#.####.##.##.#..#.#..####.#...####.##.####.##...######.#.#.....#...##...#.###.#.#####.##..#.####..#.#..#..#.##.##........##....##..###..##..##....#.###..##...#..#.#......#####.#....####..#######......####....###..##.#.##..#.#...#..#.......##.##.#.##...#.#.######.#######....##..########.#.#...###..##.#.#..######.##......#....#..######.#.##.#..##..#######.###.#..##.###..##..#.###.##..#...#.##.#......#.##...#.#.....#..#.##..#.###..#####.##.#..#.#.#..#...#.#.......#.##...#.##....###.#..#####.##.#.###.##..#########.....#.##.#.##.###.###.....#.#######.##.###..###.#..#...###.###......#######.#....#.#..#..##.####.##..###..#.#.#.#..####.#.....#.##..#.##.....###..#.##.....#....##.####.#..#####..##.##..#.####.#..###.###..####..#.##..####..........###..........#..#.##.###.##......###...#...#.#.####..#.#.#..#..###..#.#...#.#####..##............###..##..####..#...#.#.####..#....#####..####......###..###....#..#.##..##..##.#...###.#.#..##......#..##.##.##...##......##.#..###..###..#..#..#.#.#..#.......#..###.###....##.#...#####....###.#.###.......#.#
##.##..#.#.#...#.#.###.##.##...##..#..###....##########.....#####..######......##..#.#.#........###.#.###...#.##..##...#..##.#######...##...#####....######..#.#.#.#.##..###....##.####...#...##..#.#.#.##...#..#..#.######..##..##.#.##.##.####..#.#.....#.###...#.##.####...#.##.#.#.#..##.#.####...#.#####.######.#..#...#..##.##....#.##.#.........#..###....#####...####.#..........#.#..#.#.##..###..#...######..#....##.#....#..#....#########..##.#....#.##.#....#.........#####.##.#.#.#..##..#.##...####.##...##...###.#..###..##..##...####.#......####.#####....#.##.##....#.####.####.##..###.##.#..#..#.###....####....##.#.######....#####..#####.###.#...#..###.#..###...#....##.#.#...........##.##.#####..#.####.#.######..#...###..###...#.####.####..#...#.#.#.##.#..########..##..#.#...#..#.#.#..#.####........##.....####.##.....####.###..###..#.####.#.#####.#.###.##..##.##.#.#...##.##.#...####.#.##.....###.##....#.##.##########..############.###..#####.###......#.###.#.#.#..#.#.####.#.##....#..#.###.######.#.#.####.#...##.#.##..##..###..#........###....#.#......#.##..#...####..#.#..#.#.##...###.######..##.#.###.#..#.#.#####.#.#.#..####.#..#...#...###..###..###.##.##..#..##.#.#.#.##...######.#..#.#.####.##.#..#.#.#.##.......####...#.#..#.##.#..#..####.#.......####.#....##.#..#...##.#########.#...#.#.##..#....#....##.#..#####.###...#.#..###.#.##.##.#.#...###...####...###......#..##..##.##....##.##.#.##.....####.#.#.###.#..###.#.#..#..##...##.###..#.#######..#.#.##.#...##..#..#.#.#...#.....##..#..#..#.....##.....#.#.#....####.....########..#.###..#.#.####.##....#..##..#...####..#.###.#.##...#..##.#.#..#####...###......#.####..##.#..###..#...###...###..####.##.#####..##.##..###......###....#...##...#.###..##..#.#..##.##...##.##...#.#..#.#.#....#####.##.####......####.#..##..##..#..####...#...######.#.#.#...##..###..##.#..#.....##.....#...#...##...####.###.###.#####..###.##.#..#####..##...#####......#..#..#.##.###...##.#.#.##.##...##.#............###.#...##.###########.####..#.##..#.##.
...#.##.#####....##.#.#..#..####.#..#.#.#........#..#####.....###...###.######...####.#.#.##.##.##.######.#####.#######.##..#.##.#..#..##.#.#.#.##.......#.######..#.##..#.#.####..#...###.##.##..#.####...#.#....#.####...####...####...##....###.####.####....#..###.......##..###...##.##.#......##......#####.....#.#..##....###.#.#.....##.##..###...#.#####.##...#####..####.####..##.##.#.#.#..##.#.#...#.#...#.##.....#.....#.##..##.#..#.###...#.....#.#.######.#.#..##.#......#..#.#.#.##.......#....#.##..###.#..###.#.####..#.##...##..####...#...#..##....#.#.##..#.###..##....####..##...#.####...##.#..#.#.##...#.#.#.####........#...#.......#...#.#.....#..#...##..###..##.#...#.###..#...#.#######..#####.#######.#...#..#...##..##.#..#......###.##.#.##.##.##...#......##.#.#..##....##..#..#.#..########.#..##...#.#.#######.#.#####.#.#####.#...#####.#.#.#..#####....####...#......###.###...##.#....###.####...#...#########.###..#...##...#.#...##.#.....##.###..#.###.....######.##.....##.#.#####.......#.#.##..###..###.#..#.######..#.##.#.##..#...###..#.##.#..#.####.....#.###..#.#..#.#.##..#.#.#.##.#..##.#..##.#..#.#..#..#########.#...#.##........######....###.##.##.#...#.#..#..#.#.#.###...#.####.#.######.##...###...#...####...###..#...#...##...##..#...#.##......##.#....#####.#####...#.#......##.##.##...#..###.#..#..#..#.##.#..####......##.....####..##....###.###...####..####..##...#..#...#..#.##..#..##.##..#.#....###.....#....###...#.##.######.#...###...#.#..##..#.###.##.#..##..#....#.#.....#####....##.##...###.#..#.##.#..#.##...#...#.#.#####..###.#..####.##...###..##...#.#.......#.#.#...#.#..####.....####.#..#.#..#..##.#...#.####.##.#.##.#...#.#.##...###.#.#.#.##.#....#...#.######.####..#......###.....###.###..###.########.#.###.#..##.#.###.#...#....##..#.##.##.##...#.#.##.##.##...###...#.##..#..#..#..#.#..###..##.##..###..#..###..##.###...#..#.#..#..#.####..#.........###.####..###....#.#.##.#.####....#..####.###.##..#.##.#.#.#.#...#....###.###.#.#.##...###...###..#......####.#.##.####.
######..#..######...#.####..##.....###.#.....#..#....#.#.#....#.##...##.#.#######....##.#.##.#....####..#..###......#.##.##.#####..#..##..#...####..#.####..#.#.#..##.##..##..##.#.##..#...#..###.##.#.##.####.##..#.##.#..#.#.#..#.##.####......####.#....#..##.#..##...#.##..#..#.##.......#.....###..#.###....##..##.#....#######...#.#..#...#.#.#.##.#.##...##.#.##.###...#..#.#.###.##...#..###.#..###.#.##..##.##..######..##...#..#.#.#######.##.....##.#####.#..#....#...#...##..#.##.#....######..#.......#..#..#.#..#.##.##..#..####.#.#.#.##..#.##..####...###.#..##.#.#.#..#.#...#####...###.##...#..##.######..##..#....##..#....####....##..##..#........###..#.#.###.#.###.#...#...#.....#.#..##....#...#.#.#..#.#..######.##.#..##.###.#...#.#..#..##...##...##########..#...##....#####...##.#..##.#.##...#.#.#.#####.##.####..######....#..#######..##..#..###.#.#.....####.#..#..########..#..###.#.###.#####.#.#..###.#.####..#....#.#####....###.##.###.#.##.###.....#...##.#..#...##...#.....#####.######..###.###...##......###.#.#.#.#.##..##....###.###..####...#..#.#.####.......##.#..#.#...#..##.......#.#.....###......##.##....#..#.#.#.######.#.##.#.#..####.#...#..####..#..#.#.....###........#....####.#..##.######.######.......##..##.#.#.....#.#####.###..#.#..#..#####.###.#####...#.#.#...###.#..###.#......#.#.#.#.#.#.###..#..###..##..##....#.#.###.#.##.########..###.##.....##.######..#....#......##.#..#######.#.#.#.....#..#.#..#..##.#.#.#.#..###.##.#..##...##.#.#..##.######.###.###..##.########....######.####..###.#.##.#.#####...###..#..##..#..#......#......##.#.##..#..##########.##.#.##..#..#..#...#......#..#.#....#..#...#..#...##..#...##.#...#..##.....#..##.....##.##.#####...######.#..#.#.###.#.##.#.########...###..####..#.###.#.####.##.#......#####.#.#.....#.#..##.......##...#...##..#....##..#.#.######....##.#..#.####.#.#.####..###...##.###.#.#.....####.#..#...##.####.#.#...#.#....##..###...#..#....##.#...##..####...#....##.####....#..#.#....#..#.###.##....#...#..##..###.##.#..####.#####.##
#####.##...#.#..###.##.###..#.##..#..###.#.###..#..#...#.#.#..###.#####..###.#.#..#..#......#..#...............#.#..#...###.#...###.##.###.##....#...###...##.#....#######.....#.#.#.#.#.###...##.........#.##..##.#.#.#.....####.#........##...#...##...#..#.#####....###########...##.#.#.##..###.#.###...#....#..#.#.###.#.###...#.###..##...#...#.#.#...###....##..#.#...#..##..#..###.#.....#.##...####....####...#.#.#.....###..#...###.##....#.#..####..##..##.#.##############...#.##.###.#.#.###.....##..##.#...#####.###..#.#######.#.##....###...#.##.###.#..#.#.#...#..#.##.####.#....####....#.#......#####.#.#####.#.###.#.#.##...#..#.#.#..####..#.#.####.#.#.#.#.#.####.#.##...##.#.#.#.###...##....#...##...##..#####.####.###.....#.##.###...#....##...##.#..##..#...###.....##.####.....###...#...#.##.#..#..####...###.#.#.###...##..########.#...##..#.##...##.####..#.#...###..#.###..###..#..#.#...###.#####.##...#......####.##.#..#..#.###.###.###.##.#####.#..###.#.####.##..#...##...####...##.#...#.##..##.#....######.#.#..#.##.#..#.########...######...#######..#.##..#####..#.##......#.#.#.##..#.###.##..#.#..#.#..##.###..#.#######....###.#.###..##.#.##.######..##.#.#....#.####.#...#.##.#..#..###.##....#####.#.#..##.####....#.#.#..#.#...#.##.####..##.#.####...#.##.#.#.##.#.#.##.#....##.##...#####....#..##..##..####....#.###.##.####.##.#.#.#.#...#..##.##..##......##..........###..#.....#.####....#.#####.#..#########...##.#.##...#####...##...#...#..#....#######.#....#.##.....#...###.....###.##..##.#..##..#..#.#..#.##.###.#.##.###.#.##...#...###.##..####..#.##......##.#...#..###...#.#.##..#.#...#.#....###.##.##..#....##..#.##..#.#.#...##.#..##..#.#....##..####..###..##..#..##.###..#.#.##.......#....#..####.#.#.#.#.##...###.###.#....#..######....###...###....#.#..##...#.##.##...##.##.#..#.##.##.......#..####...###.....##.#.##..##.#..####..#.###.###.#...########..##..#..###.##...#....###.#..###.###.######.#..####....#..##...#..##.##.#.#.###....#..##.##.##...#.#.##.##..#.##..#......#..#..#.##...
.###.#....#.#.#..####...#..##.#.#..#.##.#.##.##.####.###.####....###...##.....##.###..##..###...#.#########.#..##.....#.#.#.#...#.##..##..###.#..##.#..#..#..#.#.###.#..#.#####.#..#.#..###..##.#.....#..#..####.....#....####.#..###..#.##..#####.###.###...##...#.#.#####.##..#...#..#.####.###.##.##.##.##..#######..##..#.###.#..#.##....#..##..###.##..##...##.#.####......####...##...####.###..###.#####.#..###.#..####..#.#.##...##.#......####..###.##....###.#.###.#.#..##....####.#.###.####....###....###.#.#..##...#.##..#...##...#..#.##...##.#####....###.#...#..##.##.###.##.###...#.##.#....#.#...###.#.##.#.####.#.#..#...##...#.##..###.##.##.#...#..##.......#.#.........#...###..##.#.##...##.####...#..###..#.##..#....##.....###..#.##..#...##...###...#.#.#....#..###.###..#..##.##..###.##.####.##..#.#.....##.#.##..#####.#..##..###..###..###.##.###.#.##.....#...#.#....####.#####.#.#.######..#...#.#..####...###.#....#.#.#..#...##..#...##...##.#.#...#..########..#..###.###.##.##..###.##...#...###..#####..##.###.###.#..##..#.##.......##.#######....#.###########..###...#.##........#..#.###....#.#..#..##...#.##.#...###..##.#########.#..##.####.#.#.....##.######.#####.##...#.#.#.##.#..#.#.##...#.....#..######.###..###.#####....#####...#.......#.####..##.#####.....##..#...##.....####...###..#.##...###..#.#.#..##.#..#..#.###..###...##....#..#.#.##...##.#..##.###.##...#.##.##.#.#...######.####.#.####.....########.##...#..#..#.##...#.....##.##..##.#.#....####.....###.#....###..#.#.#...#.###...#....#...###..#.######..##.####...##.#......#.#....#..##..#.#.#...########..###.####..###.########.###.#....###.#.#..#.##...#.##.#.#.##.##..##.###..#....#.......##..#..##....#...#.##.#...##.##.###.....#..#.##.###...##.#..#..#.#..#.##.######.#.#.##.#####..#.###.#.####.##...#..##........##.##.##.#..#.######.#...#....##...##.#.#...#..##.####.#.#.##..#.##..##....#.#.#####.##...##...##.#####..#.......###..#.#.##.#..#.#####.#.###.#.###.##.##..##.#####..#.#..##.#..#..##..#..#.###....##...#...##..#...###.#..
..#.##.#.#.#..#####.#..##..#.#..###.#.#..##....##.....###.##.##..##.#...#...#..####.##.####..###.#.#..#####..##.#####.....#..#.##.#..#....#..#....#..##.####.###..###.....##.##...####..##....####.....#.##....####..#..#.#####....#..#.#.#..######...###.#.##.#.....###.#..#..##.#..#......##.##.#.######.####...#.##.##..#.#.#.......#....##.#.#..##.#..##..###.#..#...#..#......###########..######.##...####.#.#....#.#######...##.#####..#.#.##..#.#..#...#####.#.##.#.#....#.###..#..#.##.####.#..#########.##.#...#..#.##.###.....#.#.#..#..#.#.####.##..##..####.########..##..##.#.##.#..#.##....###..#..#.#.#.#...##.#..#.###.#.###.###.##.##.#...##.#...##.#..#.###.##.......##.###.##.##..##...###.#.###.##.#.###..##.#..#.#..#..#####..#.#.........######.#.##......#.##.#.##.#.##...#..###..#.#.#..####..##.#.##...#.##.####......#.##.#..##.###.#...#.#..#.#.#####.....##.####...###....##########.#..#.####.#.#.###.##.#...#.#.#####......#.#.#####.#.#..#####.#.#.#..##..##.#####...####..#.##..#......#..##........####.#....#...#.####........##.##..#...#...###..####.#.#.....#..##.#..####..#...#..#.#..#.###.##.#.###.##.#.##..####...##.#.#.####.#..#.#...###.##.##.#....#########..##.##.#.##..#..#####....##...#..#...#####..#.#.####....##......###.##.##.##..##.####..##.#..#...##..#...##..#....###..####...#.###.#..#..#...#..####.##..####.#..#.##.#...##.....####..###.#..###..#....#.#.##.#..#...###.######.###...#.##.##.#.#.###...##.......#.#......#.##.##.##....#####.#.##.#..##.####.###.##..#.#########..##....###...#.#.#..##.....##.##...###.####.##.....#.###.##..##.#.###..##.#...###.#..##..##.###.#...#.##..#.###.#......####.####.#.##.#....###.##.#.#.......####.###....#.#.#.....#####.#.####.###...#....##......###.....##.#..##..#..#...###..#...##.##.....##.####.##.##..#..#.###.##..#.###.#.#.######.#.#...#....####..##...##.####.....#..#.####...##.####.#...#...##....###..#..##.#.#.#.#...###....##.##.#..#.##.##..#.#........#...###.###..####.#.#..###.##.##...#.##.#..#...#.#..#.##...###...##.#....######..###.##..#
#.#.....#...######..#..#.#######.##.#.#..##...#.#.##..########.#..#..#.###..#.##.###..##.#.##..######.###.####..#..###..#..#.#.#.#..####.#####.#....#.###.##.#...#.##.####.######.#.#...#.....#.#.#######..#.##...#..#..##..#....#.###.##.#.#.#...######.#..###.......#..#...####..##.#..#...###.####.##..#..#....##...#..##.#.##.##.#..#...####.##..######...#.#...#.##.####.####.#....####.####.#####....#.##...#..##.#.####.##..#..###..#.#..#.######...#...###.#.#....##.#.###......#.#..#...#.#####..#.##..#.#....#....#####..##.....####...###..#####.##.#..##.#..#####.#.#######..#..##.#..######...##.#.....##..#.####..#...##..####.##..##########.#.#....##.###.#..####....#######...#.#..####..###.###.#.........##..##..###.#####...##...#.#.###...#..#...#.#...##....#..#.#......#.##...#.###.#.#..#.##..#.#..#.######.####...###..##.##.###.###.###.#..##..#....#####..###.#..####.#..##...#.##..##..##..#..#..#.....#.#..##.#..#.###.##.......#.#....#..#.#####.#.#.#.##.###.##..###.###.##...#........#####....#..#.##...#.#.#....#.#..#.##.....#..##.##.###.####...##.###....#.....#...###.#.##.#.##...#..###.#.####..#...#.####.#.##..##....##.#.#.#...#..#####.###.#..###.#.#..###.#..#.#..##..##.#.#.#.#.#..#...###.#...#...##....#....#..##..#.....###.#.####.##.###......#.#..###....###.###.#..#..##........###.###.##.##.#.#..#...#.#.##.####.#.#.##.##..##.#.#.#..##..##...###.######..##.....##.#.#.#.####...##.###.##.#####.#..#####..##..#.##.#..##..##.....#...#.#..#.#.###.##..#.##..##....###.#..#.####.#...#..##..#...#####......#.#..##.##.##.##..##.#..##.##..##.....#..#.##..###.#.#..###.#.####.#.###.#####...#.#.#......#...####.#..#####..#..#....#.##.##..##...#..#####.####..#####.#..#..##..##.....###.#...#.#.##...##...######....###..#######.#...#...#...#..##.#..#####.#.###.##.###..##...#....######.###.#..##.#..#.###..##....#.#..#.####..###.#..###..#..###....##.#.#####..##..#..##.#..###.#..#.#.#.#####.###...##...#....#.#..#####.###..###.##.##.#.#.####...#####....#.#.###......#....#....#....##.#......####..#.#.#.....
#.#####.###.######.......####..##.....##.##..#..##..#.###...#####.###.#.##..#....#..####.##.##.#.#..#.#.#...#####.###...##.#.#..#..##.#.#..#.#.#.##...##.####.#.#.#####..#.#.#....##..###..##.#.###.......####...#.#.#.####..##.#.##.....##.#....##..#...#.#..####.#...#####..##.###.##.#..####.#.....##.#.###.#.##.###..#..#.....#.##..#..###..#..##.......#.#.##.####..#....#.#.#......###..#..#..##...##..#.#..#...##.####....#...###.#.#####.....##...##...#....#.#.#..#.#####.#......##.....#...#..#.##....####.####.##.####...##...##.###.####.#..###.#####.####...#...#.#....#.#.....##.#.####.#.#..##..###...###....####.....#..#.#.###........##.###.#.#.##...#.###..##.####.##.##..##..#.#.#........#....#.##.#.#.#.#...##..#.##.#.####..##..#.##.#.....###.#..#.###...#.#.##.......#.#...#.##..#...##.###.#.#..#.##.#.....#.#..#..##.......###.#.###..###.#.##..####.....##..####..#####.#.######..#..#.##..#...###.#########.#...#..##..#.##.######..####...#####.#.##.#...##.#.##.##.###...#.##...##..#.#..##.####.###.##....#.###.#...#.##.##....#.###.#.####.####.#.###.##..#.....#.#####....##..####.#.#.#.##.##.#.####...####.##..#####..#..##...###...#...#..#.#.....#.#..###.##..###..#.##.#....#####.####..#.##.##.......####...####..#.##.##..#...#.#.#.##..#...#....#.....####..##......#####..#..#.#...##..#.#...##...##..#..####.#.##.#.##.#.###.##..####....##..........#.##..##....##.###..##.#....#####.####..#...####.#.##.#.#.##.####.##......#####..#..#..##...##....#.......#####.#...##.#.#.....#...#####.##...##.#####.#.###..##.#####.##.###.#.#..##..#....###..#..##...#######..###.#..#.####.#...#.#..###########...#.#.#...###.#...#.#...##.....#...######..###.....##.#....#.####.#...#.#.#######.####....#.####.###...#....#####.###.#####.########...#.#..#.....##.#.#..###.#.#..#..###....#..#....###..###..###.##.##.#...#.#.#.##..#.#...##......#.....###.#..###.#.#..###.##....#.#..#....#....#...#....#.##..#..#..#.###.##.....#...####.##.##....#.###.#.####..###..#..#..#.#.##..#.##.#.#.####...###..##.###...##.##...#..##..####
.#.#..#..##..#.#..#..#...#.#.##.#..####...####..#####..##.######.#.#####..#####.#..#.####......##.##....##.###.#.##.##..#....#...#..#....#...#..#.#.#.###....#.#.#.##.#####...###.#.#.#######..#.##.#..###...#####.##...###..###.#.##.#..#.###..##..##.#.#####..#.####.##..####...#####.##..##.####..#..#...#.#..##.#...########....#..#..#.##.###...###.###...#.#..##.###.#...#...#..##...##.#......#.####.##..##.##....#.......###..#..###.#...##...##..##...##......####.###...#.##.###.##.#.##...###.##..#.#..#..#.######.####...#...########..#.....#####...###.#..#.##.##.#...##...##...##...#.###..#.##.##.#######.##.#..#.##..####..#.##..#....#....###....#....####.###.##......####...#.##..#.###.....####...#####.#.##.#...###.#.....#.##.##.#...###..###.#...######.#..#........##..#...##....#.##..##......#.#.##.#.#.####.##.#.#.#..#####..##..#...#.##.#.##..##.#.#.....##.#.#...#.###....##.##....###...##.#.##..#...#######.#.#..#...##..#..####..#...#.###...##.#.##.###..#......####..##.#.#.#.....####.#.############.##.#.######.##..#.#...##....#.##...##.#.##....###.#..############.#.#......###..#.##.###.#..#.#######.##..##.##.#.#.#.#.##.#..##..#.#.........#......#..##.###.#.###.##.#.#.##.###.#...#...###...#..#.......###.#.#.##.##..####.###...#...#...##.#.######.#.##.#..####.##..#.#.##..##########.###..#.##.#.#...#.##.###....#.#.#..####...#...##.###.##.#..##.##...##...##.#..##..##......###..#.#.##....###.#.#.#.##.#....##.....#####....#..####...###.#.##...###.########..#....#.###.....#.......#.#.####.#..###.....##.#...#.##..##...###...####.#..###.#...###.##.#...#...#####..####...######.##...#####......#.#######.###.##..#.#..###...#..#..#..##...#.#...#.#######...###..##...#...#..##.###.#.####.##....#...#.#..###.#...##...#.#..#.#....##.##..#.#..#.#.#..##....######.###..#.#..##..###....###.##.###.####..####.#.##..##.#.###.#...#..##.#.##.######..###.##.####....#.##.##...#...##..#...#...#.###....#.##.....#...####..######..#....########.........#..#.#..#.#.#...#.#..####..........#.#.##.####.#.#.###..#.#
...##...#..##.#.......##.#.#.#...####...#.#.##....##.#.##..#.####.###..####...#..#..#..#.##.#..#...#.....##.#..##.#.##.#..#.#.#..#.####...#...#.#.###..#.#.###....#...##.....###..#..####.###.#.##....#..###.#.#..#...######.....##.#...#..#.##.###....#.#..#.#....####..#.#..###.##...#.###..###.#.###..#.##.#..##..##.#....#.###.#.#.#.##...#.#..#.....####....##..#.#..#..#.######.########..###.#.#.#.###.####.#..####..##..#.#####.....##.....##...###.#.#.....#.###..#.##...#.###....###.####..#...##..#.#..#....#####...###.###.####..###.#.#..#....###..#.#....#.#.#.#.###.#...#.#.#..###.#..#.#..#...#.#.#...##.#..###....##.##..#.##....###..####.##..#.##.###..#.....#.###....#.##.#..#####.######.#..#..####...#...##..###....##.###...#.#....#####.....####..#####...#..##.#..##.#####.###.########.#..###.....##..#.##.....#.#.#####.#...#.#.#..##..#..#####.#..###..#.###.#..#.#..###..#..#.#.....#.##.#.#.####.####.####.#..#.####..#.#.#..###..#.###.##.##....##...##..#.##..#.###..###.#.#..###....##.#....##.##.#..#..##.##.#......###..#.##..#....###.#..#....#####.###.####....#..###.#.##..###..#.##.......###.#...#.##..#..#..#..##...#.#..#..#..#..###.########.##.#.#.####...#.#.#.#.####.###.#.#..##...####....#####.###..######.####..#.#.##...#..##..####.#...###.######..#.#..###.#.##.#.#.##.###.#..##.#.##..###.##.#....#.##...###.#...#.##..#.##......#..######..#####...#....#.....#####.####...#...#.####.#####.#..#...#.#...#.##...#.#...##.####..#.#....##...#..#.....##..#.#....##.###.#.##....#.##.#.######.#.##.#.##.#.#...##.#...##..#....#.##.#.##..##..####.#####..###..#..##.###.#...#####.....####.#.###......#...#..###.#.#..#..####.......####..#.######.#..#.###..#..##.#####..##...###.#.#.####.####.####...#.##.#..####........#.#####.###.##..###...#...#.##.###..#####..#..###..###.##.###.####....#.##.....###..###.#..##.##..###.#.####..##.##.##...####......#.##..###...###.##.##......#........##.####..##..#.....##...####.##...#.#.##.#.##.###...##.#..##......#..#..##.#.#.#####.##.###.##.#...####..##..#.##.#..#..#
###...####....##.#...#.#..##.#..#.###..####......####.....####.#...#.##....#.#..#.......#...##.###.#..#######.#.###...##.#.#.####.###..#...#.....#.#.#####..#....#.##...###.##.#..#...##.#..########.#.....###..#.#.#.#####.###....#.##.####.#..#.................#..#..#.###.#...#.####..#.#.#..#..#####.##.##.........##..#..###.#.....#..#......###.###.##....#.#..#.######.##.#..##.###..##.....#...###.##...#####.#.#....#.##....##..##..##.#.#.##...#.##...##..#.#.#.#..###.##...##.#.##......##...#.....####.#..#.##.#.##.#.#...##...##.....###.##.####.#.##...#...#.##..#####.####.#...##.##.....##.#.#.###...#...##....#####.####.##.####.#.#........########......#..#.###.#.......######.##..##..#..#..#..#.#.##..##.....#.####...###...##.#...###..#..#....###..#.#.#.####....##...#..#....#.#.##..#......##.####....#..##.##...##.#.......##########..#.#....######.....#...#....####...#..#.#.####.##.#.##..##.####...#..#.#...##.#.#..####..#.#.##.####.#.##.##.##..#.###..#..##.#.#..####.####....#.#.#.###..#.....#..#.########...#....#####..###.#..#..##.##.....######..#.#.##.###.#...#......#....###.#.####...##...##.#..#..#######.......#....#.##.#.#.##.#..##.####.#.##.#######.....#.##.#.##..##.#....#...#.##...###.#.#..####.##.#.#...#.####...#.##..#.##.##.##.....#.###.#..#...##.#..#.##..###...#.##..###.##........##..####..######.###..#...#.#.....#.#.##.####.###..#.#..#######...##..#.####..#....#.##..##..###.#.##....#.#.##.##.########.#..##.#..#...#....#.#####.##..#####...#.##..#.##.#...######.#..##.....#.##..#..###.##....#....#.#.#..#..#...#...##.###.##..#.#..######.##.##...#.#...##..##.##..#####.###.###..##..####..##...#.##.##.#.#.##...##.##..#..#.#..#.....#.##...#...##.#.#..##..#.###.#.##.##.#.#...##.####.#..####..#.#####.#.#..#.#..#########...#....###.#.##.##.#....##..##.#.#####..........#..#.##.#..#..##..#.######.#.#.#.....#..#....##....#..#..#.#.....##........##.....##..##.##.##..##...#.#.####.#####.#...##..##.....#.##.#..###.####.#.###...###.##.#.#####..#..#..##.#######..#.###..###.###.....##..#
.#..#..#.....##.####...####.###...##.#####.#...#...###.......##.#.#...#.#.####..#.#.###.######.##...###....####.#...#..#.....##.###..#############...##..#.#...#.#..###...#.#.#.#...#.###.#..##.#.##...##...##.##...#...###..#..#.###....#####.#####..#.#.#..#####.......###...####.#####.#.#.###.#.#...#..#....#..#.#...#....#..##.#.....#.##...###.##.#.##.##..#..#.##..###..#..##...#####.#######.##..#.##...#..##...#.####......#..#.#..##....###...#.#...#.#.##.#..##.#####.#.#...#####...##..####.#.##..#.##.#.##.#.#.##.###.#..###..#.#...###..###..####..####..#.#.##.#.....#...#....#.......#..#.###.#..#..###.#.###.##..###.#..#..##..##...###.#.##.##....#.#...#.##.....######.#.#.######...###.#.##.##...#.##.#.##.##..#..###.#.##..#....#....#..#.##...#.#..###..#...#..###..######......###.##.####...#.######.#..##...####.##.#.##..#..##.#...##.##..#.#..#..#....#....#.###.##.###..#.##.#..#.#.#..##.#.#....##..####...#.##.##....###.#.##.#..##.##..#.##.##...#...#......#.##..#.#...#..##..##..###.###...#.#..#.#.##.#.#...###.#####.#..##...#...#####..#...#####.###.###...###..##...#.#.#...####..###.#..##.###.##.#..####..####.#.....##..##..#.#..###...#.#.#.#.#.##.#.###....#.##...####.....####.##.#####.#....####..##..##..#....##.###.....##.#.#..##.#.##..#####.#.###.#..#####.##..##.##.#..##..#.#.###..##...#.#.#.####..#.####..####.##.#..#...#.#...#.#####..#...##..#.....###.#.#.##...###...##.#.####.##.##.#..####.##...####....#...#...####..#..####.....##.#..#..####.#...##..#.#.##...#..#.###..##.#######...#.#...#.#...#..##.#...######.#.#..#.#.##...#..###.#.##..#.#.........#..#.##.#.#.###..##.#..#.#...#.....###...##.#...###.#.####.###.####..######..####....##.###..#.####...#####.#.....##..#..#.#.##.#...##.##..#..####.#.#...####.#..#....#.##......#.###..##.####..###.#.#.#.#..##.#.####..##....##.###....#.#..###.#..#......##....####..#..#.#.#.#.###..#.#...#.....#.#.##..##..#..#.#....#...##..##.##.###.....#.#..##.#######...#####..###.#####..#...#..###.##.##..####...##..#..##..#.###.#....#####....##.#.##..#..#.
#...######.###.##.#...#..##..#.#....###...##.#..##...#.#...###......###.#.##.#.#.##.####...#.####.......#.##..##.#..###..#.#....##.######.#.##.#.##.##.###.###......#.#.#...#####.#.#...##.###..#..#..###...######.###.###.#..#.#.###..######..#.###..#..########.#.#..##.######.#...######.##..#.####.#####.#..#..####..##..##..###.....####.##..#...#..#.#.#.###.#..#.#...#.#.####..#.#####...###.##...#...####.###....##.#.##......##....##..#.##.#..######..#####.#.###...#.##.#..####...#..##........#.....###...........#.#.....#####.##.##...#.#.##.#..##.#....##..#..#...#####.....##.#.#.##...####..#.#.....#.####.#..###.#...##.##..#.#..##..#..###.#...##..###..##....##.###......#..####.###...#.....#.......#.#######.#...##.......##.######.######..###.###...........#####.#.#.#.###.##..#.#.....##.##.#.###.##.#.#.###.#.#..##...##.##.....###.#..###..#.....#.#####.#..####...######....##.####...##.#..##.#.##.#.##...######.#####.#..##.##....####..###.##.#..#.#..#.#.#.####..##..#.#..####.###....#.#.#..#..#.##.#.#..#.#..#####.#.##..###.##.###..###.#..##...#.#...#.#.#.....####.#.##.....###..#...####.###.#....#......###.##.##.###..####.##.#..###.##.#.#.#.#...##.#.........#.####.####..#.#......#..##.#.#..#.##.#....##...#..###.####.###...###.#.#.....##.###...#####..#....#.#...#......##...#....#.#####.#.#...##..#####.#..###...#...##..##.###..#....#.###.#...#####.#..###.#...######.#.##..##...##.##...##.#...#.#.###.#.....#..##.##.#..#...#####.###.##..##.##..#..#.##.#..#.#...###...#..#.####.....#.#..###.######...#.####.#.#.#.#.##.#.#.#.....#.#.....##..#..#.##.##.####.#.####..###.##.#.#..#.#..#.#...#..##..##..###.#..###.#...#.####.#.#####.#...##..####...###.##.....#..#....#.#....##..##....#....#..##########...#.#.......##...#..#.#.#.#.#.##.#.##...##..#...##.#.###...#....#....#....###.####..#####.#..#...#.....#.#....#.#..##........##.####.#..##...#..#####.##.#######.##.#.#.###.#.##.########....####.###.####.###.#.#.##.#######...#.#...#.#.#..#.#........#.........#.#..#...#.######..####.#.###...#...##....
#.....#.##...###.####.....#.#....##.#.######..#.#..#.#.#....#.######.####.#.###.##.############.#.#...#.##.#..#.#..#.####...####..#.....####...###.##..#.###..##.#.....##.#..##.###..###..###.##.####.###..#.###.#.##..#..#.#..#.....#.......##...#...#.#..##.##.#####.###.##.##...#.#.#.##..###..#.#.#.#.#..#....###.......####...#.#..##.#.##.......####.....#.....##.##..####.#.##.###.....#.####....##.##...####..##..#.#####..#.###..###.#..##.######.##.#####.#..##.#.#..##.#.#.#.#.##.#.#..##.#.##.##......#.#..#.#.#####..####.#..#.##..#.#.#.#..#....###....###.##.#..#.###.#...##..###...##.#.#.######.#..#####.....##...#...#####..#....##.....##........#..##..#.##.##.###...#.###...#..###.#..##...##..###.#.###.#..########...##.#..#.##.#.#.###..#.##.##...########.#.##.#..#....##.#.#....#.###..#####..##.....#..#...###..#..#.#.#.....#.#......#..#.#..#.#....#....####.#######..###....#.#..##..#...#.#########..#..######....####...#.#.#......#.####.#######.#......####.....####.#...##.###.#.##...##.#.#.....#..###..#.#..####...#...###...##..##.....#.###..##..#.#...#..#.###...#..##.####.##..##.######...#..##.###.#.##.#..##.##...##..######.##.....#....##.....#..#..#.###......#.##...#...###.#....##.###.##.....###..#...#..##..##....#.#.##.##..#..##.#.##.#.#.#..###.##.......#.#.#.#..##.#.#.#.#..##.#.....#####.#..####..#.#####..##....#...#...#####...#.##...###.....##.....#...###.#.###.##.##...#.#.#..##.####..###..####.###..###.##.#..#####.#.###.#.##.###...###.####.#.....##..#..#..#####.#...#.###.....#.##.#.#.##.#..#.#.#.#..##.##..#.#...###...#####...###..#..###.##..##...#.....#..####...##.#.####.##..###.#.#.....#....###.#.##.###.####...###.##.#.####.#.###.#.##...##..###..##.####.#.###...###..#......#.#.#.#..#.#.....###...#.#...###.##..#..#..##...##..##..#.....#..#.##.##..#######.#......#####.#.##.#.###...########....##.##..#.....#..#.###..#...###..##########.###.#####....#...#.#..........###...####.####.##...#..#.#.##..##.#....##....###.#.#.#.#.####...##..##.#....#.##.#..#.....#.#..###.#...#.##..#.
..###.###.##.#.#.###..###....#...#.....#######..##.#...#.#.#.#..###.#..#..#.##.##.####.#.####..#.##..####.##.###.#..####..##.##..#.####.#...##..#.##..#...##..##...##...###.#.##..###...####.####.##...##...#.#...#.#...#..##.##.##.#####.#..#...##.#.....###.#...#.#####.####..##..#....#.#.##..###.##.####.......#..####....##.#######...######..#..###..##......##.#.....#...#.##.####..##.#.##.##....##...#...#....#.#.#.###.#.#..###.#....##.#.###.##...#...........#..#....#..####..###...##....#..##........#..#.##.#.##.#...##..##..#.#.##...##...#.##...##.########.#.#.#....####.#.#.##..##..##..##...##.#.##..#.###...##..#....##.##.##.....#.##.##.###..##...####..#.####....##..#..#..#..###..##..#..##.##.#.#.###.......####.##.#..#..######.##.#..#..##...###.#...#..#.#....#...##.#.#...##.##..#..#..#####..###..#.....#.##....##..###.#.....##....#.#.##.##.#.#.#.###..#...#..###.#..#.#...#.##...#.#####..##.####.#.#####.#.#...#....##.##....##.#...#.##.##.....##.###..#..###.###.##...#.#.##..#.#..####..###..#.#..###...#..##......#.#.#.#..#####..#...##..##..#.###...#.####.#######.##.##....#.#...#.#.#.#....#...#.#..#..#...#...#..#.###.####..##..###....##.....#.#####..###.######....#.##.###..#..##.#.#.#.##...####.#...##...###.#..#...##.#....###.##.####.##..#....#.#.##...##.#..##.#.####....#....##..##..##...##...#..#..#.##..####..##.#.#..###..#.#...##..#.#####.#...#...###...##..#..###...##.#.##..##.#....#..#..#...#...##..###.#....#...####..##..##..#..#.#######.#.#.#..#..#.##.####.##...#####...###..#..####...#####....####.....####.###......#..##.#..##....#.##..#..##.##.#...#####.##....##.#...##.#.#.##...#######.####...####.......###.#.....####.####..#...###....##....#..#.###..###.###.#....#.##...#..###.##.##....#....####.###..#..##.#.#..#.####..#..##..#.###..#.....#.#####.##.#.##.....###...#.###..#...#.#..#####.######......###.#..#..###.##.#..#.#.###...#..##.#.##.#.####.....##.##.#...#.......#....##.#...#.####..#..#....###..###.#...##.#.#.#...####.#..######.#..#.#...##.##..#.####....#.##.##.#..###.
.####.###.#.###....###..#..#...####....##.#..#..#..#....#...#.#..#.##..##..###..#.....##.#...##.##.##.#....##.#.######..#...###..#..###..##.#..##...#.##.###.####....##.#.##...#....###.#..####.##.###.##.##.#.##.#.#...###......#.###..#.#...##.....###.#.####.#..#..#.#..#.#..#####.##..#.#.##..##..#####.#.#..##.#..#.....#.##.#..#....#.#.#.##......#..##.#..#..##.....###.#.#####.#.###.....#..###...###.##.##.#.#....#..##.##...#.###.#..#.#######.##.###..#.##...###....###.#..##....##.###.##.#...###.###....#.###...##.##..###.###.#.....#.####.##.#.##..##..###.#.#.#...##.#.#.#..##....#...#....###.#.#....#.#........#####.##....#..##..###...#..#......#.#.##.#..#.......#...#......#.#.##..###.####.......#.##.#..#.#....#.#..#.###..##.#.###..#....#..###....###..##......##.##.###..#.##.#.#...###.##.###.#..###.#.#####....#.#..##.#..###...##.##....#######.##....##.###.##.###.#...#..##..#..###..#.##...#..#..##.#.#......###.#######..###.#####....###..###.#....#..#.##......#....##...#.#....#.#.....#....####.##..#.####.###.###.#...#.#....##.#..#.#..########..#.#####.##.###.#.......#.#..#.##.#.####.##....#.##.#..#......####...###..###.##.###..#.#..##..##.#....#.#....######..##.#..##.##.##.#.##.###.#.#..#....##.#...#.#..#.##..#####....#.#.##.#.....#...####.#.#.##....#...#...#.#....#.#.###.##.#.#.##....####.#.#..#.##.#..##..#......##.#..#.##..###.#..#.##.####.#..#.#.###.#.##..#...#..#...#######..##..#####.##.##.#.....#..####...#....#...####.##...####...#.###.#...##..#.###...#.#.#.###...#.#...#.....##..##.##...#..#.########....#..##...###...#.#.#.........###.##..#####..#..#...####.#.....###.##...#..#.##.####..##.##.#.#...#.###.#..#..#...#..#......###....#.....#..#.....#.#...#.#.#.###...###.#.#.#..####.#..#.####..#.##....#.#.#.#.##...##.....#.#.###.....####.#....######.......#..###.######.#.########..##.......###.##..##...###.##.#...########.##.#..###.###..##.##.######...#....###...##.#..#.##.#.##...###...##.##..###..#.##..#.##.###.######.#...##...###...#..#.###.#.###...#..###.##...#...#..##.#..#
###.##.#####.##.#.#.#.##.....##.##...#....#.#.##.#.#....#...##.#.######...#.#...###..#.####..#.#####...#.#.##.##.####..#..##.#.#.#..#.#....#..#..#..#.##.#.#...#.#.#.#.#...#...####.##...#..##....###.#..#######.###.####.#.###..#..###.#...#..###..#..#########.###.#.##......#..#..##.##..#.##.##.#...##..#.#..#..#.##.#..##.###.###....##.#####.##.#..##...##.#.#.###.#.#..##..#.###.#..#..#.##.##...#....#.#.##...##......#...#.###.#..#.#..#####..#...#.##..##..#...#.#.#.###.##.#####..###.#.#####.##...##..##..#.#.#.##..###.##..##.#.####.....#.#####.######.........####....#.####....#.#..#..#.#..#####.###..#........###...#.##.#..####..#.##.#..##.#....#..#######.#..###.#.#.#......#.#.#.#..###.###.###..#...###.###.#.#####.....#####.##.#..#.#.##.#.#.#..#..#.####.##.....##..######.##.######.#.##.#.#.##........####.#..###.##..#...#...#.#..#..####.###.###..##...#..#......#.####.##.#...#..###.#..#..##...##.#..#..#.####.#..##.#..##..##.#.##....##..##.#...###.##.#.#....##..#.##...#.##..##.##..##.#......#####.####....#.##...#####.##..##...##....##...##.#..#..#######.#####.####.#.###.#.#..#..#.#....##..###...##.####.#..##..##.#.##.#.#..#...##..#..#####..##..#.###...###...#...#.....#.###....#.##..#.##.##.#.###...###.#.#..#.#..##........#.#..##..#...#.#.#.####....######.#...##..#.###....###.##.#..#.#.##..#####...##..###......###...#.#.##.###.#..####...###.....####..##..####.#####..#.##..##..#.#.##.#...#..#.###...#.#..###......#####..#..##.###.#..#.#...###.#..###..##.####....#..##.##.###..#....###..#...#.##.#.....####..#.###.#.......#.##.#.....#.....#....###.##.##.#.#.#..##.##.#.####.##.##...##...###.###..###.##..#.....##.#.#.#.#....#.....###.#.....#.##.##.####.####.#.#.#...##.#....####.#..#.##...#...#...#...##.###.#.##.##.....##.....#..###.###..#.##....#...#.#....#####..###.###.###.#...#.###.##.....######..#####..#..#..####.#####.#...#..##.#.##.##.####..##.#.....#####...#...#...#.#####......##..#.#.#....#####.###..#..#..#.#.##..#.#..##.#.#...#####.#..#.##.#..##...#..#.##...#.##..##....##.#...#
#...#..##.##.###.##.#..#.#........#...####.##....##.###.#...##.#.##.#..#..##...#...###....#.##.##.####...##.....#..#.#####....####.#.##.#...##....#####.#####..#.#........#....##..##.#.#.#...##.###.###.###.###.###...##..#..##..#..#.#.#.#.#.#.#.....##.##..#.#####....#.###.##.......##..##.##..##.#........###..#....#.###..#..#.#...###...#...#.##.#..###..#.##..##.#######...#.##....##.###.#..#####..##.#.##..#..#.#.#....###.#.#.##.#.#...#..#..#.#.###..##..##.....#..#..###........#.#.#.##.#.#.##.#.....#....#..##.......####.#..###...#....#.###.....#####..###.#.#...#..#...#.####...#######...#.##...#.#.##.###.##...###...###.#.##..##.#...###.##..###...##.##.##.####.#...###....#.#....##...##.#...#..#.#.#.##..##...#....#..###.#.#######.#.##...###.###.##.##.##..##.###..##.#....#...#.#...#.#..#####.#.#.###.##..#..##..##.##..##.###..#..#.##.#.##.#....#..###..##...###.#.#.#..#..#..#.##.#...#.#..#...##.###.#.#...#.###..######.#####.#.#..#....#...#..#.#.####..##.##.#......#.#...####.##.#.#..#.#......#....#...##.#.###.##...#.###..###............#....#...#.....#..#..###...#####.#....##.....##...#.....#.#...###..##....###...#.##......###...##....##.#..#..#.#..##.#.###..#.#..#.####.##..##....##..##.###.####.##.#..###........##...####.##.##.##...#...#.###.###..#..#..####......###.##..#..#...#####..#.##....#.#.##..#.....###..##.##....#..##....##.#..########.....###.##.###....###....##...#..##..#.....#..####.##..######.#.##.##....#.##..#####......#..##.#...##.##...##.###.#.##...#.###.....##.#.###.#.#.##....#..##.##.##..##...##..###....##.#.####..##.###.###.##.##.#.##.#####..#.#....##.#.#.##.##....#.##..##..#.#####.#..#.##..#..###.#.#..#..#.#.###.##.####.##..#.###.##.#..#..###.#######..##.#.##.#..#...#.#...#..#..##.#.#.#.##..##.##...###.####.#..##...##..#...#.###.#.#......#.####.#...#.#..##.#...##.##...##..#.#.##...###.#....####.#.#.#.##.#....#.#.###..#.#.#####..##.#.#.#.###.....###.#########...###.##.###...##.#..#...###.###.##...###.#.##.###.#####.#...######..####.##.##.#.##.##..####.##...#..
#.#..###..#.####.##..#..#.......##..####..########.#...##.##....##.#..##..##..##.#.##.##.....#..##.....#......####..##.###..##...#.##.###.#.#.#....##.#####....###.#.##.#...######..#.#.......#######.#.###.#####..##.#.....#.#.###..#.#.#..#.#.#..##..##..#..###..###.#.####....##.#########.....#........##....#...#.###.#.#....###.#....###.#.######.##.#.####...##........#....#.#.##..##.#.#...#.##.....##...##.#..#...##..#.#.#.#.#.##.#.#.#.##.#.#.####.##...#.##..##.#..#.#.#.#.#..#.###....#.#.##.###..#....#.#...#.#######.#.##.##..##.###......#..######......####.###...###...######......##...#.#..#..##.#..#.##..#####..#...##.#.#.######.#.###..#..#.#.#.#..##.###.##.##.#.##.#...####.####.#.##....#...#####....#..#...#.#.#.##...#...##.######.....#.#...###.##...#.#.#.##########..#####.##..#.###.#...#######..#.#.##..##....###.###....###.#.#####.#.##.#..#.###..##.##..#.#.#....##.#.#.......###...##.#..###.#.#.#..#.#..###...###.##..#..#...#.##.#.#..###.##..#....##.##.#.###.#...#####.#########.##..##.####..#.#..#..###.#.#.#.#...#...#.#....#.#.###.#####.#.....##.#..#...#.####.#......##.##.#.##.###..#..#.#.#.###...###.#.#..#.#####..##.#####..#.##.#.#.#.#...#.#..#######.#.#..####.#..#.....###..#..#..####..##...##.#...##..###...#.###.#..#####..##.##..###..#.######..#.#.#...##.#.#.###.#.#.#.#.####...##..#.#..##...#.#...#.###..##...#....###.#.#.#.##......##..#.##....#.#..##..#..#..#.#.#.##....###.#.#...####..##..###..#.#...#..#.###.#.#..###..####.......##.#..##.#.###..####.##...#.####..#....#.#.#.###.#..##..#.....#..##.##...#..#....#.######..#..##......#####.....#....####....####..##.#.#..###..#.#.#.###..####..#..####.#...###.#......##.#...##.##..#...#.#.##..#....#.#...#.###..#..##..##.....####.#.##..##.....#.....#.####.#.###....#.##..#..#...####......#.#....##..##.##.##.....###.#.##..#.#.#..#.##.#...###.#..###.....#.....#..#####....####.#.#...##.#.#.#..##..##.#.##...#.#######.#.####.#...#.##.##...###.##..#.####..#.#.###..#....#####.###.####....##.###.....#.#.###.#.......###...#####..####.#...
#...##..#..#.#######...#...#..#....##..#..#.###.#...##..#....#....#.#.#...#####.....#####.#.##..##.#.#...#...#####.##.#...#.#..###.##.##.#...##..#.##..###..###..##.#.#...#.#.....#.###.#.....####..##.#.##..####.###.##.#.######..#..###.##.#.###..#.##.#..#....#.###.#.#..#.##.#.##....####.####.##........#.###.##.#.....####...#..#...##.#..#....####...#.########.######.#..#......###.......#.#..#.###...#.###.#.###....#..##...#..##..#####..##....#.#####.###..###.##.#...#..##....#.##.#####.#..#..#.###.#.#.#.######.......##..##.#.##..##....#.....#..#.###..####.....#...#####.#.###....###.#........###.#.####..#...##.#...#..######..#....##...#.####...##.####....##...#.#...##.##.###.#.#...#####.#...#.##..#...##.##.##.##...#.##..#.##.#....#.#.#.##.##.#..#..##.#.#..#..#.##.#..#.####.##.#...#.#.#..####..######.#...####...####.##.###....#.##.#.##.##..#####..###...#..####.##..#######..##.####....#.###..#.##.###..#.###..########.......#.##.###.....####.#.##.#.####.##..#######.##.....##....###.##..##.#....####.##.#.#..#..#.##.###..#.####.....###.###.##......#..#......##..###.#.#.##.#...##..###..##.#.#.....#.###..####.#.#...##....#.#####.#####...#.#.##...#.....#.....#.#####.#..##..#.####.#.###....####.##.#.##...##....#.......##.#.####....##.##....#..##.###.###..####.#.#...##.#.#...###.#####.##.#.#.#..#.###.##.....#####...#.....##...##..#.#.###..########.#.#.###.##.##.#.#..###.#...#.#.....#...######..#.###.#.###.....##...#.##.#.#..##.###.#.#.#..#..######.##.##..#..#.#.###....##......####..#.#..#####....#......##.#..#####.#..#####..###.#.##.#.#.....###...#..#####.#....##..##....#.#.#.##.###...#..#....#..#.#..##.##..#....##..#..#.#.#.#.#..#.##.##.###...##...#.#..#...#.#######.#####.###.#..#####...##.#......#....#.#...####...#####.#...##..#..#..#.##.####..###.#....#.#######....####...#......#.##.##.#.....######...##########.###.###.#.#.#.##.#....#.#..#.##.####......#.#.##..##..#.######....#..#.###......#####....#...#...###.#..##..####.##..####..#.##.#.#.#...#.#.##.#.#..#####.##.#.##....#.#.#
..#..#.......##.###.######.#####.#..###.###..#.##.##.#..#.#...#.##..#.#...#.#..#.##..###.#.##.###.##.#.#..##.#...####.#..####...##..#.....#..####.#..#####.##...#..#..###....#...#.##..#.#.##...#...#.##.#..##...#.##..##...####.##..#.###.###.....#.##########...#...#....#...##....###.#..#..#..#.#.#########.#....#.########.#.#......#....#.##.##.##...#####.#..###.###..#.##.#.#.###.#...#..#....##.#..#####.####......###.###..##...###.##........#######..###.#..##.#.###.#..#.#..#.#.####.#.####..#.##.#.#..##...##.#...#.##.##.##.###.....#..##.###..###.#..#.#...###.####..##.###.#.###..#####.#.....#####..#..###..#......#......#...##......##.#..#..##..##.##.##....#...#..####.##.......#.####.####.#.#..##...#.##.##.####.#....#....#.###.##..#...#.....#.#.###.###..#.##.#...#...##...#..#.#..##.#.#..#.##.#...#.##.....#..##..#...#..#..##....####.....###..#.#..####...#..#.##.###.#.#..####.##..#..#...##.##.##.#.####.#...###..##..#.#.##..##..##...#..##.##.....#...##.#.###...####..#...#.######..#.####.#.#.#.....####......#...#.#..#.#.####.....#.###..#.#####....##...#.###..##.#.####.#..#.##.##.#.#..#..#...#.#......#.##...#...##.###.##.#.#.#..####..###....#####.#.#.#.##..#...#.#..#.##.##.###..##....##..##..#.##.#.##.##.#....#...#.#.....#..#...#.##....#.#.#.##.#######.#..#####...#..##....#.####.#......#######.##.##.#..###..#.###.#.#########....##.#..#.#...#.###..###.##......##....#.......#.#.#####.#.######.##....#..#.##...#.#.########...###.####.#.....##.#....#..####...###.######..#..#.#.#.##..###....#..#.#.#####.######..#....#.#..#...###.#..#..#..##.#.#..#...#.#######.#.#...###.#..#########..#..#.##.#.#.##..##.#...##...##.##..####..###..#..#.#.##...#..##...#....##.##.###.#...##.#..#....#.#.###.###.....#..#...##.###.###..##.###...###.##.#...#...##.##.###.##..#..#..#...###.#.#.#.#...#..####....##...########..##..####.#.#..#..#..#####...##.#.#....###.##....##.###....#...##############.#######..#....#.#.###.####....##......#..#.#.#.#....#...#.##.#..###.....#......####..######.#...###..##.##..#.##.
.#.###.##...##.#..#.####.###...#.#.#..####..#..##.#.##.#..#.###.####.###...#.....##.##.#.#.###.##.#.#.##.....#.####.##...#......##..#.##.###..#.##.##..###.#.#.#..#####...###.###..###...####.##..#.#.####.##..####.#..#.##.#######.#...#..####.#.#....##....##..#.#..##.....#...####......#.##.#.#.#.#..#..######.###.#..#...####.....###.#.#.#..###..####.....###...#.....####..##..#.#..######...##..........##..##.#...##..#####...#..##.##.#...........##..##...####.#.#..###.#.##..##.#.#..#.##..........#.#...#....##...#.###..#####.#....#..#####..####.#..#.####.#.....##.#.#...#..#.####.#..##.##..##..###.##..##.#....###.###...........#.##.#.#######..#.#.##....##.###.###.#...#.#.##..#.#.##.#....##..#..#...#.#.#.###.###....###...#.##.....#####.#..##...#.###.#.######..#####..#.##....###.#.#.####.###.#.#...##..#..#.#.####.#...##.##......#.####.........##......#.#...########..#.#.#.####.#.#...#.#.#..##.##.#..#.....#..#.#.##.##.#.#...#.#.#.#.####..#..###...#.#.#...#..#..#...##...#.#...###.###...#.#....####.....#...######...##...###.#.###....#...#...###....###..#.#...##.###...#####.##....#.######.#.##.###.####.##.##..#...####.#.##.#.#####.#.###.#...##...##...###...####...#..##.......###..###.#.#....#.#.#..#.#...##..###....#.#....#....##.#.####.#.###...#.#.#.#...#..##..##.####..#.##.#.#...####.#....##....##.#.#.##.###.#.#.###.####.####............##.#..#...#.#.#...##.###...#.###...#..#.##........##...##.###..######......#.#.#....#.###...#.###..##..#..#.#....#.##.#..##...#.##..######.....##.####.#..###..#######..#..##..##..#.#..#..##.#.#.#.#.##..#######..#..#.....####.##......###..#...#.##.##....#.#.####.#####.##..##.#..#...#.#####..#..........#..##.###.#.##.....###..#.##....###.#.#.###......##.#.#...###.#.##....###....##.#..###..##.#..##...#.###..##.###..#####.##.##...###.##..##..####.##...##.##.####.#.#.#####.#...#..#.#.######....#....#...####.####.#########....#.#.#..##..###.#.###..####.##.....##..........#..#..##..#.#####.#..#..#...#..#...####.##.#..#...#..###..##.########.#.##..##..##
##.#..##.######....#..##.#.....#.#####.##..####.#..##.#####.#.##.#.....#...........#..##....#..#.#..##.###..##...##.......#.....###.#.###.####..#.#.#..#.#..#..#..##.#...#..####.#.##...#..#..#.........##...#.#.#######.......##...##.#.#..#..##.##.#.....##.##.#..##.##..####..###.#####...###....#.##..#..##.###.#....#..#..#..##.#.##.#...##.#.#....#.#.#..#..#.#####.#.#.#.##...##.##.#.###.##.##...#####.#.#.#.##.###.#.###..#.#####.##.######..###..........##.#.#.####.#...#.##...#..#.#######.###..##.##.##..#..#..##.####.##.#..##...##.#.#.##.#.#..#..#.#.####.##.#...#.#.####.#.#####...##..###########..##.#.#.#.####....###..#.####.####..#.##.##..#.#...#.###.###..##.###.#.#####..####.###.#.##.###..###..#...##.####..#.#.##..####...###.....####..##...#.#..#..#.#.....###..#.##..###..#.#..#####.#..#.###....#...##.####.###.#........##.#...#.#...####..#.#.#.#.##..#...#..#..##....###.##.##......#.#.#.#....###..#....##.#.##.##.#.#######...###.#.###..#.#..###########.###.#...##.###...##..####..#...#....#.#.##.##.###.#..#####.###..#.....#.....#.###.###.#....####..###....###....###..##.#.#.###.#.####...#####.....#...#.#..#..####..#.##....#.##....##.#####.##.#.#...###....#....###.#..########.###...#.#.###.#.#.#.#..###.##.......##.#.#.##.#####.##..##..#...###.####....#..##.##..###....#####.###..#.#.....##.#.#...#..######.#...#..#..##.#....###...#....##.#..#...##..#..#.#.#..###...##.##.....#.#.#.#..#...#..##...##.####.##.#####.#.#.#.###..####..###..#..##..#..#.#....#.##..#..##.#.....#..##...##.#.#.##..#####...########.##.#...###.#...#.#.#.#..####.##.####.#..#.#.#..#####...##...##.###.....###.##..##..##......####..#.##.#.#..##.#..##.####.##...##....##...#######..#...##..#...#...##.#.###.###....###.###...#....#...#..##..#.####....##....#.#..##....##.###....#..#.##..##....##..#.##..###.##.##.#.#..#...####...###..#....#....##.#..##..#....#..#..#.#.....#.........#.##.....#.###.#..####.#..#..#.....##.#.###..#.###..####.#.#.#.#..####..#...#.....##..#.#.#..#.#...#..##.....#..##.##.####.###..#######.##
.##..###..##......#....#.###..#..#.###..#.#.#..#.#..####.....#..##..##..#.##...##....####.##..........##..##..##.##.##.....#...##.#..#..##.#..##.##.###..#..###.###..#.###..#####.#.#.#.##...#..###.####.###.###.##....###.##.#..#..#.#.###.#.##.#.#...####...#.##....#..##..#.#.#.######.####....###..###..##.#...#.#.#..#....##.#....#...##.##.#..#.#.##..####.#....###....#.#.##......#..###.#.#.###.#.#..#.#.###....#....##.#..###.#...##.#...##....###....##..#.......#.##.##.#.#.#..#....#...##.....###....####.#.##.####...##...#.##.#.##..#...#.#.#.#########...##..##..######...#....#..#.#.#.#..##.##.#.....##.#..#.###...###..#............##.##.#..#..##.........#...#####.##..#.#.#.....#....###.....###........#.#..##....#..##..#.#.#...#..##..##..####..#.##..###...##.###.#.#.#..####.##.##.#..##.##..##....#.##..###.#....#....##.#.##..####...#..###...#.##.#.#.###...##....#.#.#....####..##.######....###..##.####.......#.#..#.#...#...##..##.#.##...#.#####..##..##.#....####..####..##..#...###..#.##.##..##...#.#.#####.#..#..####.#.####...#..##......###.#..#.....##..#####.....##..##.########..#....#..####.#.##...##..#...####..#....#....####......#...#.##.#..##.#...###.####.##.#####..#..####...##.##....#..##...##....#.###.#.#..##.#....#..#.#.#.#....#...####....###...##.#.#####..#..#.##.#..#....#.......####.##..######.##..##.#.####..#..##...#..#####.#...###.####..####.##..#.##.....#.#.###.###.#.#.##.#####.##......###.#.###.##..#.###...#.##..#####.#...##.#.....###.#...#.#.##.####...#......#.##.###....#.#..#####.####.#####....#.#..#.#....#####.#..#..###.#.#.#..##....#.###.####....#.###.#.#.#.##.#.#####.####.##.#..###.#....##..#.#....#.....##...#........#..#.#........###.##.###..#.#.#...####...#...#...#...#####.#...#.#.#.........####..##....##..##.....#.########..##.#.######..###....###.####.#.###..#..####.##.#..#.##..##.#........######...####..#.##..##.#.#.###...#...##.#.###...##...##..#.#.##.##....##.##.#..###...#.##.##.#..####..#.#..##..#..####.#.#.##...#..#.#...##..####.#.##.#######.#..###..#
.#...#.#..#.......#.#..#.....#...##..##..###....##.#..######.###.#.#..#....###..##.##.....#.##.###.##..#....###.##......#.####.#.#...##.###....####........##.###.#########.#.#.#..##...#..#...#..#####..........##.##.#.#..#.###.##..#..##..######...##.#.####....#....#.#....####.###...#.###.#.#####.......#...###.#.....#.#..##..#..#####..#...###.#.#.#.#.##.##..#.#.##.#####....#....###.##....#.#....#.####..#.####.#.#...##.##..##.##......#..###.#.#.#.###.#####.#....###.#.#...##.#..#...##.#.####.###..###.#..#..##.#....#.#######.###.#####...##.#.####..#.###....##.#....###...###...#....#..#....##..#..#.....##.##.#..#.##.#..#.###....####.####.#.##.#####....#..##...#.....#.####.###.###..#.......###.#..#.........########....#.#..######..#..####.#.##...#...#....#....#.####..##...####.##.......#.#..#######.#.#.##.#..#......#.###..######.#.##..##.###..##..#.###.....####.#.####.#.##.#...##....#...#.#.#...##.#.#####..#...#..####..####..#.##...####...##..##......##.###..#..#...###.#.##.#.#.#.#.#....##.#.######....#....#...#....##.##.#....###...#.#...#....##..##...##.##.####.####.#.#.#...##.##.##..#.#.##..##..#...###..##..###....#.###...#.##.#.###.#.##....#...#.###...#.#.####.#...##....#.#..##.#...##.#....#.######.#...##.#....#..###.###.#..#.##.#.##.#..##...#.##.#.#.###.#.#.##.#.#...#..###..##....#.#.###...#.##......##.###.#......###.#..#...##..##..##.##.##.#......##.#.#####..#.....###...####.##..###..#.##...##.#...##..##..#...#..##....####......#.######..##.##...##...###.#...#....##.#.##.....####.......#.#..#...#.##.###.#.##..#..##.....#.####.###....#..##.##.#.####.##.##.#...###......#..###.#.#....####..#...#.....#.##...#.#..##...##..##......##..#..#.#..#..###...##.##...#.#..####..#...##..#..####.#.#....#.....#...#.#...###.#...##.####..#####..#...#...###...##.####...#.##...##....###.###.#.###....##.#.##.#..#..##.###..##..##.##.#........#######..#..##.##..#.#.###..#...##.##...#.####.#..#####.#.#.#..#.....##.#......#..#.#.#.....###...####..##.####.#..#...#...#..#.#...#.##.####.#..####.#
##.#...###...##........#.##..#.###....##..###..#####.##..##..#####.###..#.#.##.#..###..#.#.####...#####.##.#.##..####..##.#####...###.#.......###.#..###..#...##...##########.#.###...###.#....##.##...##..###.#...#.####..####.#.#..#####.###..##.#...#...###.##.#######....####......#.###..###...####..##....######.##.....##..#.....#.#####..###.#......#.###..#.####...#.#..##..#.#######.#..#######.#.#..##.#.#####.#..###.##.##....##....###..#.###.#..#####.##.....#.##.##..####..#....#.#...#####.#####..#...#.##..####..##...#.##.......###.##...##..#...###..#...#..####..#....####.#..#..#...#.#.#.#....##...#.#.#####.....##.##.#...#.#.##.......##...##.##...####.###.#..#.#..##.####.######...##...###...#.##..###.##...###.....###..#...#.#....##..####.#.##.##...#......#...##.#####..#######..###.#.#.###.#####.....##.#..#.#.##...####.##..##.###.###...###.##.##.##.##.##......#.##..#..#.#.##...##.#..##.####..##.#..#..#...##.#..##.##...###.....#.#.##..#.##..##.####....#.#.##.##.####.#..#..#.#..#..#...#..#.#.#.#.#.#.#######....##........##.#...##....#.#.#.###.##...#..#....#.##.#....###.######...######.#...#.#...#...#.####...####.#....#..###.##.###.#.##.#..#.#.####.#.#.##....#..##...#.#..###.#######..#.######.###...#####.#.##.......##.#..#..#.####.##.##.#..##...##..#.###.#.#..##.#.##..###.....#..#.####....##.#.##..###..#.#.#..#.##.#..###...######...#.#.#.#..#...#..#.#.#####.#.##..#.#..##.####..#.###.#...#..###.###..#####.##.#.#.###..#....#.########.###.##...#..#.#..#.#...#.#####.##.####.....#.#.....###.#...##.###..#..###.##...#...##.####.###....#.##.#.#...#####.##.#.#...#..##..#.#.##.#..###.#.#..###..#.#.#......#.#..#..##..##..#..#####.##..###..#...####.###.#.##........##.###.....#.###.#..#.#..#..#####.#.##.##.....#.#..#..##....#..#.####.##..#.###....##.###.#.....###.##....#.#.##.##..###.#...#.....####.##########.##.......#.##..##...##..#..###..####..#..#.###..####.#..#.#.#.#.######.###.##.#..####...######.##.#.#.######.##.#....##...##.###..##..#.#..###.#.#.#..###...#.##...###.#.###...#...#
####....###....##.####.#..##.#.####.......###..#....#####...#..#....###...####.#..##....##.#.###.#..#.######..#.#.###.#....#.........###..#.#####.####..##.##..#.#.##.#.##.##.####...#.#..#..##.##..#...##....#####.#..###..#.##.##.###.###.####...#######.#....##.#.#....#.##.#.#..#..#..####.#...##.#.######.#.##..#..#.#...##.#####.###.#######...#....#..#####.##.#.#.##...##.##..###.##......#...#....#...#..#.#####..###....##..#....#.#.#.#.#.#######..##..##....#.#.#..#.....##...#####..##.#..###.#.#..####.####..###..#..#...#.##.#.#.##....#.######.###.#..###..##.##.....####......#.##.####.#.###.#..###.........#.#..#.#..##.#...#..#.#.#....###..###.#..#......#.###..####..#.#.###############..##.#.#.#...#.#..#..#..##...##....##.#.#.#..##..###.#.##...##..#.....##.###.##.#...#.#.##..#..#....#.#...#..##.####.....##.#..##.####.#....#.###########...######...###.#.#.#.##.#.....#.#.#....##...#.####...####.#.....####..#...##.####...##.....#..##.#.#####...#..#.#...#.#.#.#..#..#.#..###....#####..#..##.####.##...###..##...#.####...##..#.#.##.####.#.##.#.########....##.##.#..###..###...#.##.#.##.#.###....#...#..#.....#.#..#..##.########..##.##.#..#######..#.#.#.#.##.##..###.##.#..#...##......###.###.##.#.###.#.##..#..####..#.#...##..##..#..##.#...#.####.##..#####.#..###...#....#.#.#....##.#...###..#.#..#.#..#.#.###.###.########..#####..###.#...#####.####.##.####.#..###..#.#..###.#.#..##..##.#.##.##..##..##..###...##.#..#...###..#....##.####..##......##..####.###..##.##.#.#.###..##.....#.###....#.#.##.#.....####.##...##.#.###.#....#..#.##.#.#..#........##.###.#.###.#...#.#####...###.##...##.####..##.#..#.###.#.###.#.#...#.##.##..#.#.##..##..#...#.#...##..##...#..#...###...#..###.####.#.#...##.#####..#.#.###.#..##..#..####......#####..####..#.#...#.###........#....##..#.##.#.###...####..##.##.##.#.####.##.##..##.####...##.#..####..#...#.####..###...#.#.#....#..#...##.##..##.#....#.##.###...#.####..#...#.###....#..###..####......###.##..###.###.#..#.##.###..##.##.##.##..##..#.#..#...###.##.##.#
..##.##.######..#..#####...#...#.###.##..#.##.##.#...#..#.##.###..####..#..#..##..#.##..#.#......######.#..#.##..#.##..##..##....#####.#....#..#.###..#..###...##.#.#.######.#......###..#.##.###..#...##.#.##.##.#...#.##.........#..#####.#..#.##.#.#...#.##.######..#######..##..#...##...##....#.#.#..##.#.##...##.#.##....####..#.#...#..#.#.##.#####.####..####.#.##.###..###..#.....#.#.#.###.#.#...###..#.#.##...###..#####.##.###....#####..#.##.##..#.#..#....##..#...#.##.##.###....#######.##...#..#.....##.#####...#.###...#...####.#....#..#..####.######....#..##..####...#....#.#....###.#....###...####.###.##.###.##.#.#.##..##.##.##.#.#.#..#..#.####..#..#..##.#..##..#.#...####...#..#.....####..##....#..####.##.#...#...#.##..##.##.#..#.#..###.....##..#.##.##.##.#.#.#.##....#.#..#..#.#..#.##...##.#..####..#..#..#.#..#.........#.####...##.#.#.##...###.#.##.#.#.#......#....#....###.#....#######...#.#..#...#...#...#...##...###....#...#..#..#..##..##..##.#...####........#...####.#.#.#.#######..#..####.#.##.#..#.###.##.#.#...#.#.#.#.....##.#..##.####.###...#...#..####...#....#..###..###...####..##.##.#.......#.#.##.####.#.###.###.######.##..#######.#.##..###.###.###.#...#.##.#.#.##.#...####.#.#.##..##.#.##..#.#.####.#........##.####..#..####.#.#.#....#....##.##.#.#.....#..##...##...#...###.##....##.#.#.##.#.#####..#..###..#....#####...#...##.#####.#.....#..#..###...##..#....#####......#.##..###.###.###...##.##..#..#.#.#..#.......#..#..##.##.#.......#..#####...##.###..#.#...#...#####.##.#.##.###...###...###.##.....#.####..#.#......#....#......##.#.##.##.####.##..##...##..####..##.#...#####...##..####...#.##..##..#.##.##..##..##.###...#.####..#.##.#...#...........###.##...#.#.###.########.....#...###..##...#...#.....#.#...#.##.#####..........####.##.#.#.##.#...##...#..#.#.##..#.#..#..#.###..##.#.#.......###..#.#.#...#.#.###.####..#.##.##..###.....###..##..##.##.####.###.#.##........##.###..#.##.....#######.#.....##.....#..#....#.#...##.###.####.....###.#.#####.#..######.####.#.#.###.
##..##.##.#.#.####...#.##.#.##.#.##...#....#.#.#.#...##..#.######.##..#.....#.####..###....#.######..#####.#..####.#..####.######.###..#..#.##.##..#..###.##.#..##.#.#..#.#.#.#.##.##.###..#.#.#.#..##....#.##...######.#..##....#.....##.....#..#...###.###.#.######.#.#..#.#.#....#..#.#....###.####...###..#.#..##..###...##.#.#.#...####.#.###.##..#.#.####.#.####..##.#....##...##.####.##...#.#.#...#..##..#..#.##..#######...#.###....##.#...#.##..#######.#.#.#.####..#..#.#..#.###...##...###..#.#.##.##...####.##.#..####....#....#.#.#..##.####.#.##.#.####.#####....##....#.#...####...#......##..###...#..##..##...#..##.#.#.###.###.####...#.##...###...#####..##....#.##..##..#.##..###.###...##.....##..#...#.#.#..###...#..#...####.#...#...#.....#..##.#.#...#.#.#...#...##.###...###.......##.....#..#....#####.....##.#...#####...#.####.###..###....#..#.##..#.#..##.#.##.....###.###...#.#..#######.###....#.##.#........##.#..#.....###..#.#.###.##....#...##..##..#.#...##..#.##.###.#.#.####.......##.#.####.#..###.#.#.##..##...##.###....#.##.#.##.#.##..###..#..#.##.##..#.##.##..#.....#########.#.....#..#...##.##..#.#.#.##..##.####.####....#...##.##..#.###.##.#...##..##.####.#.#.#....#..###.#######.#...##.#.......#.....#####.##..###..###...#..###.#...####.#..#..#.##.#..###.#.....##.#..#.#..#.#.#..###.##..#.#.##.#..#.#.#####.#####.##..###..##...##.#.##.#...#..#.#..#.#####....#.#.#...#####..##..#.#..####.#.#..#.###.##......#.###..#.#.......#....###.#.###..##..#..##.#..#.#..#.#....#.#.#.......#.#.##.###.....#...#####..#.#.#.#...#..#.##########.##..###.#.#..#.#...#....##...######........#.#..##..###.###.######.##.#.......#....#.###...###..#.#...#####..######.#.#####.#.##.##....####...#.##...#...##.######..#...#.#####.....#..##...##.#.###..#.#.###...##.#.#.#.####...###.#..#.#####.#.##..##...#..#..#.#####.#.##.#.###.........#..#..#.#.#.#.##.#...#.#.###..###.##.#.##...##...#.......##..###.#..#.#.######...#.#.##..###....#..##...#.#....#..#.#..######.###.#..##..#.###.#.##.##.#...#....#.#.###.###...##
..#..#.####.####..#...#.###.##.##..#.....####..###.#.#.....###.#...#.#.##.#.##.#...#...#..#.##.####.#.###...##....#####.#####.....#######.#.##.#..#.#.......#..##...#..#####.##..#...#..#.#.....##..##..###..#....######.#.#...#####..#..#..###.##..###.....#.##..#.#..#.#.#..#.#..###..#....####..#..#..##.#..#.....#.#...#.####.....#.###..##...#.#.#.##.#.#...#..#.##.#....#.#..##...#.#....#.###....#...#...#..#.....#.##..##.#.#..#..#.#...#####.#...#.###.##...##.##......#.##.#.#.....#.##.##.##.#.#.##.#.#..######..#######.####...##..#.#...#.#..##..#..#......#.#.#.###..##..#.#...#.##.#..#....#.....#..##..#...#.....##..##..#.#.###.##.#.###..##.#.##....#####...##.#####.####.#.###..##.#.#..##...#...###.#.#.#.#.#.###.#.#.#.###.###....###.###...#..#####..#..###.#.#.#...####..##.#.....##.....#.######..#..#..#..#..####.#.#.##...#..#..#####.##.#..##...####.###..#.#.#..#...#..#..#.#####.##....##.....#..#.........#.#.#..#....#.......#.....##..###......#.###.#.####...##....#..#######.###...###.#..###...#.###.......#####..#.###.##....#...########....##...#....#####.##..###.####.######.....#.###..##....#..#...#.##.....#####.......#....###.###.##.##.#...#.##..............###.#.###.#...#####.##..##...#.##.##.####..###...#..###....#...#.###..##.#.###...##.#..#.##..#.....#....##..#.#.###.##.#.##..###.##..#..#.#.#.#..#.#.#.#....#.#.##.....######.#.##....#.####.####.....##.#.###.###...##..##.#......###..####......#.#..##...#.######..#.###.######.###...##.#.#.###.##.#.###.###....#.##.#.#...#.##...#.##..#...###.#...#.###...###.##..#........######.#..###....##...#......#.#####..###...##.#######.....#...#..#..#.#...#..#..#..#.#.#.##.#.###...#.#.#..##.##..#####....#...#.....####.#.#####.#.#.#.##.#.##..#..##.....##..#..#.##.##......##.#.###..#.#.##.#.#...#.#.#..#####.####.##..#.#####.#..#....#.##..#....###.#....#.#.###..##....#..######....##.#....###...##.####.###.....##...####.#.#.#...#.####.#...#...#..##..##.###.####.##.#.##.##....####.##.##...#..........#.#.##.##.#.##...#####.#..#..###..#..##..###..#
.##.#.#.##...##.###.#.#...#..#.##.#...#.##.#...#..##.#.##.###.#..#.##.#..#.##..#..####..############.##.#...#..###...####.#.#.#.....#.##..#...####.###.....#.....#.#.##...##.#.##..########....#.#..#.....#.#..#.###..####.##.##.#.....###..#..#...#.#..#..#.#.#...#.#.###.....#..#####.#.###.#.###.....#..#...#.#...####.#.#.##....#...####.#.###..#.##..##.#.###....####.#...##.#.###....##...#...#####.#............#....#####.##.###.####.####.####....#.###.####.##..#####.##.###....#..#....###.#.###.##.##.##.###.####.####.##.##.#.#.#.##........###..#..##..#..#.#.#..#.##..###.##.###..####.####...#...#....########.#.#..##.###..###.##.#####..#.#..#####.###.#.#.#.#..#.#.#.#...##.###......#.#.###....##.##.#.#.#..##.######.####....##.##.....#...#.......####....####.#...##.##..#...##....#.###.####....#.#....##..####..##....####..#.#....#....#..###..#.##..###.#.........###.##...##.###.##..##...##..#..##....#.##....######..#.#..###.###..###.######..##..###......#.......#.#....#..#...#.#.#.#.#.##...###...###.##..##..####..####.#.##...##.#...######.......#....#.#######.###...###.#.##.##..#..#....#..#.#.##.....#.#...####..###.#.###..###.#.#..#.#.#.###....##..##..##.#..##.#..#####.#..#.#..###..####.#..##.##.#...##.....######.###.#.##.##.#####..#..##.##....##.#....#.#...#####.##...#..##..#.#...#..#.##...###..###..##..#..###.#.##..#.#..#.#..#...##.....##..##...##.####.######.###...##..#.##..#.##.#.#.#.##.....##.####....#..##.#.##.#.###.....#.###.#.#.##.#......#.#.......###....####...##.#..##.#.#...#..###.####.###...#...#..##..#.#..###.#####..##..#######.###.#.#.#.#.##.#.######.#.....#.#..##...#.#....#.#.#.#.#..#..##....#..#...##.#..#...####..#.##.#.######.##.#...###...#.#..###......#.#.#.###..####.#.#..#.###..#.###.#...##..###.#...#...##.#.#.....#.#...#.###.....####..##.###.####..##...#.#.###.#...##.#.#...#..###..#.###.##......#..#.########.###.....#..#.#..#..#...#####.###.##.#.##...#.#.#..##..#####.##....##....##..####.###.##.#..###.##..###..##..##..##.#.#.##.#.###.#.##.#..##..##.##...#..#...
....##..#...#...###.#......#...#.##.###...#.#..##..##.###...#.#..####.##.#.##.##########.#.##.#.###.#.#.####.###..###..##.###.#.##...##.##.###........#####.##..###..#.#.####..####..##..#..#..#####..#####.#.#...#.##..#...#.###..#.#.#...#.#...####.#.####.#.#........#....##..##.#.##.##.####..####.#..##..###...##...#.###..#######..#.......#...#..##.######.#.#........##...#.#.###.#.###.#.###.###.#...##..###...##.....#.#..#...#...#.#.##.####.....#.###..###....#..#..###.##.####.###.##.#..###.#.##.###......###.###.#.#...#.#..####..#.##...#######.#....##..####...#.#......###..#..#.#.#.#....##.###..#.##.##.#.##..#..#..#...###.....###.#...###..###.#......##...##.#.#..#..#...#.#.##......#...#.##...###.#.#...##.###.#.#....#..#.#####...#.#.#.##.####.#..#......#.#####.#....#.....#.#.##...#..#.##............###.###..#.##.#.#..#####.#.##.####..#.##.##.##.#..###.#..#...###..####..#..#.#.#..#.#..##.#.#..#...#.#...#...##....##.###..##.#.#.#...##..#.#.##..#...##...####.##....###..#....#.#######.####.#.#...##...####..##.#.##..###.#..######.....##.##..#..#...####...##.#.###.....##.##.#...#..##...##.....#.##.#.##..##...#...#.#.#####..#............##.#......#.....##.#######....#...#.#.......#.....#...##.#.#.#.##.###..#.#.#..#..#.##.##.###.#..##..####.....##..#.###..###.#...##.....##.##...##########.#.##..##.##...##..#.###.#.###.##.###.#.##.#.##...#.#.##...#.#.#.##...#...#..#......#.##..##.#....###.######...##..#.##..#..#.#.###.#..###....#..#..#..#..###....#..#...####.#..#...#.#.##..######...#.##..###.##.###########.#.#......####..#.#..##..#.#.....#...#.#..##.####..###.##......#.#.####.#..#..##..##...#.#.....##..##..#..#.#....#.####.#......##.###..#...#######.....#.###.#######..#..##....#.###.####.##....#.#...#.#.......##.##..##.#.###.###........##.##.#.##..#.#..##.##...#..###......#...###.##.####..#.#..#.####.#...#.#..##..##...##..##.......#.#......##.#.#.##.##...#.####.#.##.###..###.#..#.##....###.###..#..#..#..#...####.#.###...#..#......####.#.##.###.##.##..#...#.###..##..##..#..##.##....
########.#########..#.#.#.####..###..##.....#.......##....##.#######..##.#...#...###....#...#.#.##.#####..#.##.#...#.##.#.#..##..##.###.#..##.#.#.##...#.#...#.##.##.#..#.##..###...###..#.###..##.######..#..##..#.###..#..#..#.##.#..#.#.#..##.####..##..#####...##..#.#.##.#.#...#...#...####..####...####.##.#.###...#..##....###.#....##.#.#..#..#.###.#...#####.#...#.......######..###.#.#.#.......###.#..#....##.##.#.....#.#...#...#####.##.##..#.#....#.#..####.#...#.####...#.#######.#.##..#.###.##.#...#...#.##.#.#.#..######..##.#.#..#.#...#..##.#.#.##.##..##....###...#.##.#..#..##..#.##.#..#.#.##..##.##.##...#.....#......#.#.#.#..#..##.#...#..##........#.#.##....##..#..#....##.###.##.##..#..###.....#.##.####..###.###...#..##.###.###.##.####......###.#.......#.##..#...##.##..#.....###.####...#....##.###..#.#.#..#####.#.#....##..#..##.####.#.##......#.#.....#.##.##...##.#.##...###########.#.#.##.#.######.##.###....#.###..##.###...#.###...###..#.#.#...#######..#..#.##.#.....#...#.#...#.#####...###....#..##.#....#.....#..##...####..#.#..##.#.....##.####..#.##..#..###.####...#..##..#.#.###...###...#..#.#.#.###...##.#..#####.####.....###..#.##.##..##..###.#....###.######..#..###.#.#.##....##..##...##.#.#####.##.#.#..##...#####.##..........#.##..#.##.#.#..#...#..###.......#####..#.#.#######.#.#..#......###.##......#...##...#..####..##......##...##.#..#....###.####......###..####..#.#.######..#####.....#..#######...#.##....#.#.#..###.#####.##..##...#.##........##...#.###....##..#####.#...#.#.###.#.#...##....#.#....#####....#..#...##..#..#.####...#...#..####.##.##.#..#...###...#####..#...#..###.#...#.#.#.##..#.##..##.#.#.#.###.##.##.#.##.#...######.....####...#.##.#..#..#.###.###.###.##..##.#...#..#.###....#.##..###.#..#.#....##..##.###......#####.#.#.#...#....#...###..#...#.##.###.#..#####.#..#.##.#.#..#####.######.##...##..#.#.#.#.#.##.#####.#..#....##.#..#.#.#..###...#....#####.##...#.#..##.......##..#.#...##.#...#.#.#..##.#....###..#.#...###.##.###.##..###...###...##..###.##..#
####.....#...##.###.#.###.....###...##...#####.......#.##..#..##...#.##......####......###...#.......#.#..###.####..#.##..#.#...####.#.#.#.##.##.###.#...#.#..###.#...##...#####...####.###...#.#...##....#.#.#....#.##...###.##.#.#.##...#.....#...###.##.#..#..##.##..#..#.##.#...###..#..##.##.##.#...#######..#.#..#...#.##.#......#.......###.#.#..###....#.#.......##.#.######.....#####.#############..###.#####...##..##....##.##.#...##..#.#.....###.#..###.....#...#.#.#.####.#####..##.#.#..##.#.##.####.##.#..##....##.#.#.#####..#.########..#...#.####..#.######....#.#..###.###.##.#..#.##......##.#.....##.#..#.##...###.##..#.#.###.##.#.#...#.#.....#..#.#.####.##....#.##..#.#.#..###..##.#####.#.####.###..##.#.####...####....####...###.#.##.##.##.####...##.#..#.#...###..##....#.###.##.#.#..##..#...#######..#...##..###.###.#..#..#..##..#..####.#.#.#.#........#...##..##...#.###.#.########.#.##.#.####...#.####.#.#...#..#...#.###...#..##.####...#.##.###..##.##..#####..##.##...#...##..###.#####.#.##...##...#..####.#.#..#.#..##.#..###.#..###.##..###.....#...##...#.#.##.###.#.##..###...#####..#.#......#.##...#.#.##.#.#......##.###.#.#...##.##.##.###..#.....#.##.#.########.#...#....####..###....####.###.##.#.#.#.###.#..#..###.#.#..#.....###.#.#.#..#..###....###......######...#..#.#...#....#.......####.##.#.###.####.##.....###.###.#..###.###..#.##.............#.......#.#..#....#######.#.#...#######......###.######......##.#.###.#.#.###..#..#######.#....#.###..##.....#..#.#####...#...#.#...###.##..#....##..####.....#..#....#.###.##.##...##.#.....#..#...#.#..####...###...#####...#....###.#..##.###...#...##.##.....#.......#.#.##.#..#....#.#......#.#..#.###.##..#..#.....#.####......#######...##.###.#....#..#.#.....##.##...####.....#######..######.#.#.#.##..#.##...#.#.##.....##....###.#.##...#.....#.#####.#..#.....###..#.#.##.##.##..#.#..#...##.#.#.###.#..#.#...###...#..###.###.#.#####.###....##...#.#.###...#..#..#.#.#.#.#.#.#..#..#.###.#.####..#.#....######...###.#...#.#..##....#.##..##.###
.#######......##.##.##...#...##.##.#....##.##.#####...#..#....#####....#.###.##..#.#.#.#...#.#.#.#.#.........####...#...##..###.#..####.#.#.###.#####.....#..###..#...#..###.#####.#.....####.#..#.#.########..#####.#.##....##..###...#.......####....#####..##.####...#..###.#.......#..#.#.#.....#.###..##.###.#.#....#.#.#..#..#..#.#.#...####.###..#..#.####.##.#..##..#....#...##.....#.##.#..##...###...###.###.#####.#..###..##......#.#.#....#..#......#..#...#.###..###..##.#...##.#......#######...####..#...###.#.#.##..#.##.#....##....###.##.##..#..####...##..##..####.######..####........##.#.###.##..#..#.....#....##..##..####..#..###.###...#..##.#.##.#.#.#.####..#..#...##..###.#.#.#.#...#####...#..###.#...##..#.#.####..##.###..#.#.###.#.###.##.#...###.#.##.##..##...####.....###..###.#.#.#..#..##...#.#.....#.#####.##..##.....#....#.#..####..###..#..##.####...#...##......##.#.....###..#..#####..#...#.#.##.###..###...##.###...........##.###...#.#.##..#..##.##..##..#...#.#.##..#.#.##...#.#.#.##..#..#....#.####.....##...#....####..#.###...#..#.....##.#...#.#.#.##.##..###..#.#...#..#....##.#.##....#####...##....#.#.##.######.#.##.##...#...##.##.####.###...#....##.##....#..#..#.##..##....#..####.#.####.#.##.#..#.#..##..###..##....#.#.##.#.##...#.#.##.#.#.#..##..##.###.###..#####.#.###.##.#...#.##.....#...#..#.#.#..####.####....###....#.##...##.#.##..#..#.###.#..##.#..#...#.#.#########..##.#.##..##.#..#..##.##.##.#.##..#.....#.#....#.######.##..#.###....##.####.##.##..##..###.#.##....##.#.#.#.###..#.###.##...###.#..#..#..######.####..#####..#..####...##..#...#.##.#.#.###..#..#.#......#.#.#.#..###..#####...##.#####...##...#.#.#.#......#..##.##.#.#..#.##.##........#....#...##...#.###.#.#.###..#######.##.#.....##...##.#..#..##.#...###..#.#...##.###....##...##..###.###..#..###...##.#..#..#.#....#####..####..#..#....#####......###.#####...###.#.....#..#..#.###.###..###########.#..#...#....#.##.###..#..##.#.#..#..#.##.###.#..#.#.###..#...#.#.##...##....##.###.####..###.##.#####...###.###
###...#.#.##.###.#.#..........###..#..##.##.##..###..###....#....#.##..#...##...#...#.#....###.#.....#.####...#..###..##..#.#......##.#....####...#.#..#...#.#.##...####..#.#..##.#...#..##.####.....#.##.....##...##......###..#....#...#.#....#.#.#.##.##.#.....#.#..###.#......#..###..#..##.......#.#######.#.#..##..#.#.#.#..#.####..#..####.#.#.##.#.#.###....#.######.#.#.#..#.#...#.#.##.#..##..##.####.#..#.##.#####.##.##.##....#..#####..####.###.##...#.#...##.#.#####.##.##.#...#.##...##.#.#.#.#.#.#.##..##.#......##.#..#.###.#....#...#.#.##...##.#.....####.#.#...##.##....#...##....#.##.#.#.#.##.####.##..###..#####..#...#.#...#.##.#.##.##.###.#.#..##.###...##.##..#...#...##.####.#.#.#.#.#.#...#.#....###....###.###.#.......#.##..#....#.#....###.#.#.#...#......##.#...##..........##...#..#.###.#...#.##..#.#..#.#....##...##..#..#.##....###.#.##..#..#..#.#.#..#...#...####.....######.#.....##....#.#..#####.#.#....#.###.####.#....#.###..#####.#.#..#.#.#.#..#.#####.##.#..##..#..#.#.##.####..#.#....#...####.##...###.#..##...####.......#.#..#.#.#...######.#.#...#..##.#.##..#.##.#.########.##.###.#...#...##...#.#..#....#.#####.###..######.##...#.#....#..#.#..###..##.#..##.###..#.##.##..###.#.....#..#.#..#.#.########..#.#.##....#.##.#.#.#.#..#...#..#.#.#.#.#..##.#.#.##..#..###.##.#######......##...#...#.######...##.##.####.##.###.#..#.####..##...##.####...###.#.#.#.#.#.....#.###.#..#..#...####.####......#.######.####.....#.###.#.#####...##.#.....##.#####..###.##...#.#.##.#.#.#####..######.######..##..#....###..#####......#..###..#.####.###..#.##....##...###..#............##..#..#######...##.#.#...######.......#..##.#.#..#..#.#..##.#.###.###.#...#.#.#....###......#...#####.#.#...##.#.#.#.###..###..#.#####.....##.####.#.#.##.###...###.##########.#..#..#.##..#.#..##....####..#....##.##.........#.#.#.#.###.#..##..#.#####.##...###..#.#..##..#####.#.##...#...#..##..#.#.#..#..#..##.#.#.#..#.#.#.#.##.#.##..#..#...#.#.#.#.#..#....##.######.#.##.#.....#.##...##.....####.#.##..##.#...##...#.####
.##.#.#..#.#.....####..###...#..##.#.##.##.####.#..##..#..#.####.##..###...##.#..###..#.####.######...##.###....######.#.##..#.###....###.#.###.#...##..##..#.#.####.....#.#.##.#..#.#####.#.#.###.###.....#.##..#..##.##.#.##.#.##....###....#...##.#..##..##..####.######...#..####.#...####.###.#...##.##.#...##.##.#.......#..#.......#.##.###.##...#...##..##.#.####.###.#####.#...###.#.###..##..##..#.##...#.####..#..##..#..#..#.##.##.#.###.#####..#######.#.##.#.###.##..#.###.###.##..###...###.#.##...#.#.#.###..##.#.#.#..#######.#..##.##.#....#...#.###...#.#....#.##.#.....###......#.##...#.###.#####.####...#.##.#####......#.##.#..####..#.....#........#....####.#.#.##...#..#....#..##..##.#.#.##..#...##..##.....#.##.#..###....##.##.##...###...#...#...##..#..#.#.##.###....#..#.#.##..#......##..####.#####.###...####..#.#...#...####.##.##.####...#.#..#.#.#.###....#..##....#####.###.#..##..##.....######..##...##.#.#.#..#..#..####.#.####.#######..###...######.#.###...##..#...#..##.#.#.#......#.#..#####....####..#####..##.###.#.##..#..#####..##...####.####..#.#....#...##....#..#.#...#..####..##..#..#.#...##.#.##....#.##...###.#..#####..##....###.####.#####.##..####.#...#..#.###.##..#....######.###.##..#....#..#.##.##..#...####...#.###.....#.#..##..#........#....###.###.....#....##.##.#.###....#.##..#.#.....#...##.#...####.#.....##..#.....#..##..#.#.#..#.#.#.#.......#.####......#...#.#.#.......###.#.######...###......#.#.#.#.#..#.#.##..###.#.######..##......##..####..##.##..##.#..##.#....##..##.######.#.######..#..##..##...#.#...#.#.#.....##.##.##.#...#..##.##.#..#.##.##.....###..#.#.##.##.....##..####....#...##.#.###..##.####.##.#..########.....##..#.#.###.###....#..##.#.##..#.#.......#.##.##.#...#.#.#..#.##.##.####..#.....#..###..#....#####.#.#.#..#.#.##..####....##..##.#....#..##..#..##.##.#.....#...#..####.##.##.......#####..####...###..##...#...###..##..#.##.#.#..###......#.#.###...#.#....###.##..#..#.#....#.....####.###...#..#####...##..#...###..####.####.#....#.##....##.#..##
#...#.#..#.....#......##.#.#..#....#..#####.######.###......##..#.###.########.#....###...##.###.##..#.##.#...#.##.#.###..####.###..#####..##..#.#..##.###..#.##..##....###.#.....##.#.#.#..#..#.###.##.#..#...#.######...##.#...##....#.##..#..##.#...#..#...###..#.###...##..####...#..##..#.#...###.##...###........####.#.#.#.#.#..##...#.#.#..##.#...#..##..#.#..#######.######..#..##..#.#..##...####.....##.####.#.##.##....#..#...#.#.#...#..#####..##...#..#####..#.#..###.###............###..###.##.######.##.##.##..####.#...#....##.#......#.########..#.##.........#.##.##.##.##..##.#.#...######..##.#..##.#..#####...#.#.##.######.##...####...#######.##.#.##############...#.#.###.###...#.##...###.##.#.#..##.#..#..#####.##..........##.......####...#####....#####.##.###.###.#.######..############.#.##..####.....##...#.##..#.#.###.#.#..#####......#.#...#######.#...##..#.#..#.#.##.##.#..#.##.##...#.#.#.#.#.#..#.#.#.#.##..#..#.#..#.###..#..#..##...#..###..#.##.#..#.##..#..###.##...#####..##.#..#...#.######..#.#....####..#..####.##...#..######..##.###..##.#.#...#.#..##..###.#...###..#####.#..###.#.##.##.##.##...#.##..####..#..##...#...##.#..##..#.####....#.#..#.#........##.#.##.###.#.###.#.####.##..#...##..#.###..##..#..#.#...##......#####.#####.###.###.#..#..#.#...#...#.#####..#..#..#..#.##.###########...##...####...##......#..#...###.#####.#.###..#.....#.#...#.#.##...##.###.####.#.......##....####.##.##..#.#.#..##.##.##...#..#.##..#..#.......#..####..#..#..#......###.###..#..##..#.##..#.##.#.#....##..###..#.##...#...#...#.#...#.##.##...##.######.####..###..#..#.#...####..#.##.#.####.#.##..#..###...#..##...#.####...##.#....#..###.####.#..####..#.#..#...#.#.#.##...#.####..#.##.#...#.###..#.#..###....#.#.#.....#.##.##.####.##.##.##....#...#..#..#.####.#.....#.#..#......####.#...####..#..#.###.#.....##.#.#..#.....##.#.###.##..#..#####.###...##.#.#####....###.####.##....##.#.#......##.##.#.##..#..##..#...##.##..#.....##....#...#..#...#.#......###.#.#...#...###..#.#.#..#.##.#..#.#.....#.
..#######....##..####...#....##.#.####.....#...##..#.###.###..###.#.##.#.#.##.##.....#######.#####.....##..#..#..#..##.#.##.#.####..##.....#.#..#.#######.########.####.#..####.##.##....#....###.#..#########...#..##..#...#..##.####..##.#.##...#####...#.#......#...##..#.##.##...##....#.....#....#...#..#....#.#######......#..#....#.#...##..#.#.#.###.#.##.#.##.#.#..##.##....###...#..###.##.##.#.#.###.###...#.###.#....##..##.....#.####.#....#####.....#.###...#..#.#..##..##.#..###.#.##.##..######.#.#####..#.####.##....#.###.#.#..#......#.#.#..#.##.##...#.#.....##..#..##...#..#......#..#.#.#.....#..###.##.##.#.###...##..#..##.#....#.#.#..#...##....##...#.###..###..##.###...#..##.####....##.##.##.########.##..#.###...#......#..##.##...####......#..#.####.#..#.#####..#....##.#.#.####...#.##...##..##.##.#.....#..#...##.##.##.#.##..##..#.##.#.##.#####.#.##.#..##.#########...#..##.####..#..#.....##..#.###.##....#...#.#...##...##.####....#.###...#.#.####.##.####..#..#....#........#..#...####...#.##.#..####...#...#####.##.####.##.##....#.#.#..##....#.######.##..###..#.#.#.####.###.##....#..##.#.#...#..#.###.##..####.#.###...#.#.#.#....#..#.####.#.#.#......#.##.####.#...#.##...##..##.#####...##.#.#.#.#.##..###....#...####.###..######.#.#..##.##...#..##.......#..###.#.#.##.####.#.#.###...#..#.####.#....###.....#.#..##..##.###....###...###.....##....#....##.##.#...###.#.#.#.#####.#.#.####.##.#.####.#..##...##..##.#.#...###.#..#.##..#...##.........##.#.#..#####....##.##.#.#.#.##.#.#.##..#.#..###.#....#..####...##.#...#.###..##..##.####.#.#.#...###.#.#..#.#...#.##...#....######..###.#.#.###..#..#...#.####.#.#..#.#..###....####.###.###.....###...#.#####..####.#.#..##..###.#.###..####..#..##..#.#.##..####..#.#...#.####.#.#.#.#..##..##.####.######.##.##.##........#.#.#..#..####.##.....##..##..#.####.##.....#.#.#.###.##.###..#...####.###.#.##..#.#####.####......##..#.#.#...#.##.#.##.#...#.##..####..#..##..#.##.####..#.###.####.#..##...#.##.#.##...###..#..#####.#.##..#.##..##....######..##
#...#.###.#..#.....#..#..#..#.#..#...####...######...#...##.####..#.#.###.##..###.##.#....#.##.#.###..#...#.######..........#.....#.##.###.####...##..##...##..#..#######...##.########.#...#.#.#.#...#..###..#.#.##...##.#..####...###.....##.####.......#.#....####.##..##...#.#.###..##...##.##.##.#.#.#..##.##.####....###.....#..#.........###.###.####..#..#.##.##.###..#...#...####.##..##..#.#.#.###.....####...####...#.#.##.##.##.....##.#.##..#.#...##...####..#...#.#...###..###...####...#.##.##..#..##..#...####.#.#####...##..###.####...##...###.####.###...#...##.#.####.#.....##.##..##.#####..###.#.#.##.#######.#.##.#.##..####.#..#....#.##..#..##..###.#####.#.#..#..#.##..##..#....#.#.####.#.###.##..#.#..#..##########....##.#.#.#...####.....##.#.###.#.##.#.#....#####.#######.####.##.#.#.#.###.#.##.#####.##...####.#.##..#.#.#.##..###..###..#.###.#....##.###.####...#.##.###...##.##.##.####..##.##.#.#...##.####.....##.#..###..#..##.###.##.##...#####.#...#.##.#...#..#.#..#.##.#.####..####...###.....##.#..#.###....######...##..#####...###.#..#.##..#.##.##...#..##.##...##.##.#..##...#.#.####.###..#.#..#..#####..#...#..#..##.....###.#.#####..#.##..#......###..#.#..##.#..#.##..##.#.###...#.#.#....###.##..#...##.####.#.###.#..##.###.####...###.#....#..#.##..#.#..#.#.##..#.##.#...#.#..###.##.#####..##.##.#..##.##.###..#..#.#.##.###....###.#.#..##..####.#.#.######...#.#.#...#...##.###.##.#..##..#.##....#.#.#.#.#.#.##...###..#.##..##.###.#.##.##.##.#.#.###.#...#.##..##..###..###..###...#.#..#..##..#..#.##..#####.#.#..####.##..#####...##...#.####..###..###.#..####.##.######..#....#.#..#..###.#..#..##.#..###...###....##....###.##.###...#....#####.##..#####..#.#..##..###.###.##.##.##..#....#.###.#...#.###..###.....###.##..#..###.###.####.#...###..#.####.#..##...##..#..#.....#.###.##..#.#.##.#..#..#.#...#.#..#..####..###.#.##.......#.##...##.#..##.#.##....###.###..###..######..##.##.....#...#..###.##.#.#.#..##.#.####.#..##....#.##...##.###..#.#.###..###.##.#.#..#.....##...##..#######.#...#
##.####..#..#.##...#.##.#....###.##.#..##..####..#.###.#.#.#.#.#####....#..#.##..#...##...####......##.#.#.......###.##.#...###.#.####.##.###.#....#####.#..#.#######..##..###..#...#.#.####..#..#....#..#.#######.###..##.....#..###......###........#.####..#..###.####...####...#####.#.#.#...#.#.#..####.#...###.#.##..#######..##..##..###....#.##.##..#..#.##......####.#.#....#..#..#.##..##.#.##..#..##.####.###...##...##.###.....#....##..#.##.###.......###...#....####.......##..#.#.#.......###.##.#..##..####..##..#######.##..#..#.#...##..###..###.#########.###.#......#.#.#.####....#.#...#.##....#.....#..#.##.###.#..###.....#.##.#.#.#..##.#..##...#.######..#....#....####.#...#.#######.#########.##...#..#########.#..######.####.###.###.####..##.##.#.#.#.#...##....#..##.##.#....#.#.####.###..##..#..##...#.#.#....##.#..#..#.#...##.#.....###....##.##...####.#......#.####.###.##....###.....###..#.##......##.#.##.#...#...#.#.##.####....#####.#.###..#.#......###..##.....#.#..#.####....#.##.###.#..#..##.##..#.##.##.#.##.#..##.....##.##..#.......#...##.##..###.#..#.#.#.#.####.#####......##.###.#.#.#.#.#####.#..#.###.#..#.#..##..#.##...#.#.###..#.#..##.#...#.####.#..##.......#..##.###...###.#..###.#####.##.##..#..###.#..#..#..#..#.###.#..##..##..#.##..####.#...#.#..#...####....#..#.####.##..###.#####.#.#......######..##..###.##.#.#....####.##..#..##...###..##.#.##.#.#..###....#.#.#..##.####.#..#####.......##..#####..##.#..###.##...#.#.#....#.#####......#.......##.####...#.#####.#.##..#..#..##......##..##.###..#..####.##...#..#.#.#.###..#.#...#.####.##.#.#..#.#....#..##.##...#..#.#.##.###.###.....#...##.####.#..##.##.##...#.######...##.####...##.#.###.#..###......#.#.###..#...#..#....#.#.####.#..#.###.......#..#.#.#.###.#..#..#.#.##..##...#######.#.#.##...###..#.#..##..###..##.....###..###..######...#.##.#....##.#..#.####.##.#...##..#..#.....#..#...#.###.###...###....##.##..#...#.##.####.#####..#.......###..##.#....#...##.#...#.#.###.#.#.....###.##..#..#...##..#.##.#.##.#..##....#.##
##.##..##...#.#..##.###.#..##.####.#....#.###......#.##.#.#####....#.#.####.#.#.##..##...#..#.####......####.....###.#.##.###.#....###..#####.#.#.##.##.#........#.##.#..#.#####.##.##...#.##..###.#.....#..##.##.#.#...#..#.##.##.......###...###.#...##.###..###.##...#####.#.#..#......#..###.###...####.###..###.#.#.##...#..###.##....#.##.##.#.#########.##.##.....#...##..##....#..#..##.#..####..#.#..##.#.....##.#..#.#.##.###.#..#.##.##.##...####.#.#####....###...###.#..#.#.##.#.#..#..############.#.#...#.###.###.#.#.#..#....###..#.#..##.#.#.#####....####.##.#...#..#.###....#.#.#.##..####.#.####.....###.#.##..###.##....####.#####...####...######....##.#.##.##...#######..#....####.#..#..##..###...#..#..#...#.#.#..#.#...#.#.##..###...##..#..##.##...#.#....#...###.###..####....##..#....#.#...##.###.#.####..###...######..##.##...##..#.##..#.#...###....###.##...###...#.......#.#....##.#........##....##..#...#.###...###..#.###.##.#.....###....#.###.##..##.###....####.###...##...#.#.##.#.#..#..#..##.#.##.#.......#.....#.####...##.##.....####.#.##.##..#.#..#.#......#.....#.##.#..##.#..#.#.#.#.#....#.##.#.####.#.##..###.#.##.#.###..####......#..#....#.#..#..##.#.#.#.##...#.#.#.####....#.#.#.#.##..#.##...#.##..##...#.......#....##.#.#.#.#...#.....#....#.#...##.####..#....##.######.#..#.####.#..#.##.###...#.##.#...####.#.#.#.#.#.#.....######.#.#......#..#...#...#.####...##.########....##..#####...#..####...#.######.##........#..###......#####.#.#####.##..#.#.##.##..##...##...#..####..#..##.##..#.##..##...#..#...#.######...####.#####.##.#..#.#.#####.#...###.##.##.#...#..###...#..##.....#.#..##...##....#.##.###.##.#####.#..##...##.#....##.#..#.#..#.##..##.#.##.##.#...##...#.#....#.#.####..#.#.#..#..###..#.#.#.###.##..#.#####.###.#######..##.###.#..#####...##...##..##.#.#####..#.#...####.#.....#.####.#...####.##..###.....###..#.#..#.#.#.#.####..##.#...##.##.####.##....###......###..#..##..#..#.#.......####....##.#..#.....##.#.#.##...####...##.#.#.#.###..#.#.#.##...........####.#.#..###
..#.##.......#.#..#..##.#####.##.######..##..#.###..#..#.#..##.#.####..####..#...######.############.#.#.#.##.#....####.#..#...##...#.##..#..#.#.###...#.......#.###.#.####.#.####.#..##.#...##.#..######.##..##.#.#...##.###.#......##.##...###...#.##..#..#...###..##.####.#...###...#.##....#..##..##.##..#.##.....#####....##...#.###...#...#...#.########..#......##.##.##.####.#..#..####..###..#.#.##...#..#...##..#..##.##..#...###....##..##.####.##...#....#.#.....#...#..#..##...#.#.#..##.##...##.#...#..#.#..####....##########...##..#.#.#......##.....#...##..##.#...##..####.....#.#.#..##.####...#######....#.#.#..##..#..##.##.......#.....##..#####.#...#.######...#...#....##.#.######.###.##.##...####...#.##....#.#.#.#####.###.......#####.....#.#.##.##....#..####.####.#..###.#...####.##.#..#..######.##......#...###.###..#..#.#.###..#.#.##.###.#.#.#...##.#.#.##..#..#..#..#.#.#.#..#####..###..###..##.#.##.#.#..##....#..##...##..##.##.#..##..#.###..##.##.######...####.#...#.##....##..#.#.#.##.#......##.#...#.....###.....###.####...###.#..#...#.#...###.#..##.....###..#...#.#...#.#.#.##..#...#...###..#..#..###.#....#...##.##..#..........#..##.....#.###...##....####..#..#.##..#...#.#..#..#.#####.####...####.....##.##....##.###.#.#.###..##..##.######.#.#.#...##.#.##...##...#.######..#.#.....#....###...#..#...#..#####.#.#.#..##.#...##..##.##..#.#..##.....####..#...#........##.#.###.##.#######..##.....#.#...######.##....##.#..#..##..###....##...#.......##...####.#.#.###..#.###..##..####.#.##.##.##...##..##....#..####...#...###..#.##..####..#..#..###...#.#...........##..##.#.##.#..#.#.##...#........##.######...#####.##.##..##..###.#.#..##.##....###...##.#....##..#.......#..#..##.###.##.....#.#.#.##.#....#..###....####.#..##....#.#.....#...#..#...#...#.#.#.####.####..#.###.###.#.#..###.#####.##..#...#.##.##...#.######.##.#...#....###......##...#..#..##...####..###..#...#.#.#...#.#..#...#.....#.#.###..#......##.##.###.##..##......#....#..#.....#.#.#...#######.#####..#######.##..##.##.##..
##...#....#....#.###..####.#..##.....#.#..##..#####.###..#.#.#..#...#.#.#...#..######.......#.##.###.#..###.#.###...#.###.###.#...#.....#.#....#.####..##..#...#...###.#.######..#.#..##.#.#...#.#.##.##....#.#.##..#.#####.#..#.......######..###..#.#.#.....##..##.#.##..#.#####.#.#.####.#.###..#..###.#...#####...#...#...####...#.##...#.#####..###...#...##..#..#..##.#######.##...#........####.#.#...######...#..##.##.#.#####.##.##..###.#.#.#.#####.##.#..#.##.#..#..####....####.#.#.###########.#..###.#.#...#.###.##.#..#..#....#######..#.#######.###.####.###.#.#.##.#.#.#.##..#.#...#..#..#####.#.##.....###...#..#####..#...#####.#.#.#.##....###..#####.##....#.#..#....#.#...###.#..##..#....###..##.#...#.#.#...#.##.##...#.###.#######...#####.###..#.###.....#.....#.###.#.##...#..###.#..####..#....#...#.###.#.#...###...#.###...##...#..#..#.....#....###....###.#.##.#..###..#.##...#####..#....#.##.###..##..##..#..##....##..##.##.##.#.##.#......#.##.#.#...##.....#....#.#.##.#.##....##.#.#..##..####...#..#####.....##.#.#..#.#...##...##...##.#.##.###...#.#...##.###..##....###.##..#.######.###.#..##.....#.#..##.....##.###.#######..#..##.##..#.###.#.#.#......###...##.##.###...####..####.##.###.#..#.#.#..#.####.#......#.#########.####.##.######.#.#..#....##..#.....#.#########.##...#...#.#..#.##....###.##.##.##...########....#.#.......#.##.#...##.#..#.#.....#....##....#.#.#...##.#.#..#.#...#.....##.#.....#.....###...#.#.....#...##.##...###.#..#.#.#.##....##..#####.##...##.......#..######.##.#...##.#.#####.##..#..#.#..####...#..#.#.##........#####.####..#####.##.####...#.####.#.#.####.#..##..##.#..#..##.#..###.##.###.####.##..#.######...#..#....#.#..##.....#..###.##....##...#.#...#..#....#.##.##..####.##.....##..###..#...##..##...#.#...##.#.##....###.#.##.#..#######..###...#....####..##..####.#.#...#.#.########.###..###.##.##..##..#.#.#.#.#...###.#......#####.....#...#######.#..#.#.#..####.####.#...#..#.##..#....##..###.....##.#.#.#....##..####..#...##.##..#######.##.#.###......#....#.#...
.##.#....####..#.#..#.#.#..#.....##.#....##..#.#.#.##.#..###.####..#.##.##.###..###.#.#.####...###.#######..#.####.##.#.###...#....#.#####....###.#..##.####..#.###.####.#####.##.##..##.##.#####......#..##.#.###.#..###..###.........#...#........#...##.#......#.#.....#..##.##..#.###......#..#.#.#.##.##.#.#....##....#.#####..#.#.##.#.#.####.#....##..#.##..###..#....#...##.#..#####.....##.##...#......#..#.##.#...#.###.########.###....###.#..##.....#...#.###...####..#..##....#..#..#..#..#..#.###..###.#####..##.##.#...#.#..#.....##.#..##.###.#.##....#.#.###..#.#...#..#.#.###...##########.#..#..###.#####.#......##.##..####..##.##.#.#.#..#####.#.#..#.#.#.####.#####..##.##...####.....####..#..#####.##..##..##...##.#.###.#..#..###..#.######.....###..##.##.#..##.#.....###.##..######..#...###.....#.##.##.#...####.#..#.##..##.###..######.....####.#.####.#....#.#.###...#####.#...##.#.#...#..#.#.###..####.###.#......###..###..##.##..#.####.#..#.#..##.#..#.##.....####...##.#..##...##..##..#..#...#.#..#.##..##.......########..#.#..#.##....#...#..##.##..##.###.........##..#.##....####.#....#.####.###..#####....##.###..#..#....#..#.##..##..##.#.#.######...#.#..##.#..#..#.#.#...#.##.#..#.###..##....#.#..#.#.#...##..######.#..#...#.##.##.#.####......#.####.##.###.....####.#.#...#.##..#..####.#..#...##.###.#.####...###.#.##.##.#..##.#.#...#.#.#######..#...#####...#..#####...#.###...#.#...###.####.##..##.#...##.###.##.....#..#.####...##.###...#......#.###.###.#.##..###..#.#####..##.....##..#.#..#...#..###..#####...##.##.##.##.##.##..###.#.....###.#.##...#....###.#...##.###.###..#.#.##.##..#.##....###......##..##..###..#####.#####..#...#..###.#....####...#.#.####.##..####.###.#...###...###.##....#.#.....##.#.#.###...###.##.#..#.###...#.....##..###.#.#....#....#.#...###.#..###.##.#.#..#.....###.##....#.######.#.#...#####....#..#.##.###.##.#######.####...#...#.##..#....#....###..###...##.##..#....#.#.....###...##..#.##.#...#.#.#####.#...###..#.#..#.#.##......##..#.##.#.#..#.....#.....#.###..
.###.#.....#.#.####.#.....#...##..#..#.###.###.#.#.#......#.##..###.##..####.##..#.###..##..#.#####.##.#.##.#...##.#.#...#.#####.#...##.##...##.#.#########.#.#.#.#.##.#####............#.######.#..#.#....#...###.....###.......##.##.##.##.......##.###....##....#######.##.#..#.##.#...##.#####.#..#.#......#.#.##.....####.####...##.##.#....##...##...##..#..#..####..##.#.##..#.####.##.#####.#.#..#.....###.##.#.##...#....###.#.###....#...#.####.###.###.#.#.###..#..#....###...#.#######...#..##..#.....#..##......#.#####.##.#.#..###.#..#.###.##.####..###.#.###...#..#...##.#.#....#.###....##..##...##....#.....######....###.####........##......##.#.#.##..#.####....#...##.##.####...#..#.###...##.....#.#...###.###..#.###....###...####.###.####..########.####.##.######..#.#######.#.#..#####..###..###..##.#.#.....#.#..#.#.#.#..#.#.###.......###.#####.#.##..###...#.#..#.##.#..#..###.###.#.##.#..###....#...#.######.###......#####.#.#.##....#.#.#####....#.###..###.##.#..#.###.#.##..##.##..#....####.....#..##.#...##....#...#....#..##...##.#.#.#.#..##.#...#...####.#.##..#.##.#..#.##..#########.#...#..#..##.###.#..###.....###.##.#.#..###.#..###.####.###..###.#...##.#.......##.#....#....#.#.###..###...##..####.###..####....#.#...###.#####.#.#..#####.###.#...##.#.#.#.##.####.######.#...#.#.####.......#.....#......#.#.#######..#####.###...##...#..#....#########..###..#....#..####..#..#.#.....#..####..#..####.##.##.#.#.##.###..#..#.#.#.#....#.#.#####.###.....#..##....#...##....####.#..##.####.#.##..#.###.#####.##.##..##.#..#####..#..#...##.#.#.##....####.#.##..####.#.#..#.#.#.#....##...##.#...##......##.#..###.##...#####.#.###..###...#####..#.#....###.##.#.##.####.##.##########..#.###..#..#.#######..#.###.##......#...#.#.#.#..#..#..#.###.#.#.##.###...##..###..##.##....###.#..####..###.##.#..##....#####.#..#...###.#...#.##...####...#..#.....#####..#.###..#....#.##.####.#......#.#.##.##..#..#..#.#.#.##.#..##.####.#..###.....##..#.###.#..##..#..######..##..#.####.##....###..##..####.##########.
####.#...#.##.#.#..#.#.#..#.##.#..#.#.##...###.....#.#.###...#..#.####......##.##...##.....#.###.######....#..#....#....#..##..###...########.###...##...#...###.###..###.##.##.....#..#.#..#.#...#.....#..#......#....#.#..#..##.###..###.#.#.##...###.###.##......#.#......#.#.#.#.####....#.#...#...#.###....#...###.....###...##.......#####.#.###..#..#.######....####..#.#..#.#.###.##.#..###..##.####..#...#.###.#.#.#....#....#..#.#.#...#..####.##.##...#..#.#..###.#####.##..##.###...#.##....#.#..#####.....#.###.#.....###...##.#...#####.#.##...##..#.#.###.#.##.#.#####..#.#.....##.##.#.....#...#......##..##.#.....####.#.#....###..#.#....#.##..#...#.##..#.#..###...#.##..#.###.#......##.#..#..##.###..##.#.#...##.#..#..#...#.##..#..#.###..###.##....#.....#.##.######.#...###...#...##.#..#.#.#..##..#..####.#####.#.#..#..##.#.##.###.......#.#..#.####..####..#.##.#.###.#######.##..####.......#..#.####...##..#..#.#..#.###...###...#####.##.####.#.##....######...#.#...##...#####.##.#.....##.##...####.####.###..#..#..##.#..#.##.##...#.###.#.#.##..##...#####....#......###...##.....#...#......#.#.#....##.#.####..#..#.#....#..#.#..###.....#...#....####.#.###.....##.##.###....#.#..#.#..#...###......#.###.#...###...#..##..#####.#.##..#..###..##..##.#.#.#.#..#.####.##...#..#..##..#.#.#...##.####.#.#...##..#.#..##.#.##.#...#....##..#..#.#.#.###...#.#.###.#.##..##...#.#.#..#..###.####..##..#.##..##..##.#..##.#####....#.#....#...#.##..#.#....#.#....#.#####..#...#.#.#.#..####.....##.######..#.###.#.#####.###....#.##..#.##..#####.##....###.#.#######.##.##.....##....#..#.#.#.###...#..#..#....#.#######......####..#####.###.#.#####...##..#.###....#.#...#.#...##..#...##.#.##..#.#######.###.######.#####.##.##.##..####...###.#..##..#..#.#...#..#...##.#.#.#.####.#..##..##..##....#..#..#.#..#.###.#..#.....###..##.####.#.#.##...#..#....##.#..#..#..###.#..#....##...#....####..#.#.##.#.##..#####.#.###..###..##....#...##.###..##.#..###...#..###.#...#.#...#...#.##..#..#....#.#...#..###..##....###...##.#.##..##
###.####.#...#####..#.#####....#.#.#...#.##.#....#...##.#..##.###.#.#..#..####.##...###.#....#....##...#.#..###....##.####..##.#..##.#..###.....#..##..#...#####.####..#######..#.##.#.####.#..#..#.####.#...###..#####..######.######.##..#.##.#...#.##.#...###..#..##....#####....#####.####.#..####.#.##..####.##....#...#.#..##.#..#.##..#.#.#..#.#.##....##.#.....####...#.#.....#..#.#....####..##.##.#..##..###.########....###.##..##..####.....###.##....#.####.##...##...#......####......#..####.##.###.##.####...#.###.##....##...##.#...##.#.#..#..#####.#.##..#...####...#####.###.#..###.###.##..##.#.#..#.##...####.#..##.##.#.####.#.....#.#.#..#.##.##..##.....##..###..##.##.#...#..#..####.#.###..##.####.##.#.#.#....##.....####.##...#.#..#######..#####.#####...##...###....#.#.#.##..##.##.#.#..#......###...##...######..##..##.####...........#..##.#..#.#...#.#.##.#...#..##.##.#.....###..#..#.#.##.#.#..#..###.######.##...#...#.#.##..##...##.#..##..###.#...#..##.##.#..#...###.###.###..#.####.##.##..#.#..#.#.##.##..#.#####.###.#.#.##........##....#....#.#..#.....#..##..##..#.#...#...#..##..#.#....#..#.###..#...##.###.###.#.##.#..##..#.#..#.#.#.###..#.####.##.#.######..##...###..##...##.###.#..#....#.##.#..#...#####..#..#..#####.#..##.......###.##...#.#....#..##..#.#.#...#..#.#.#####...##.##..##...#.....#..##...#....###..##....#.#.....#.#....#..###.###..###..##...#####.#.#...#.#..#..#.#.#.#...#..#..####...##...#....##.######.#...#.#..#..#..#..###..##.######..#..#..#..##.####.#.#####.####.....####.###.#......###..###.#######.#####..#.##...#####....#.##.##.#.#.##.#.#..##.####.#..#.#.....##.#.#....######...#.###.#..##.#.#.###..####.###...#.#.#.#.##..###...#.#######.##.#.#..##.#....#......#.##.#..##..##..#####....##.##..###...##.#.#.##..######.##..######.#...####...#.###.#.#...####.#..##.####..#####.##.#...##...#...#.##.###.#..##..#.##..##..#....###..#......########..#.##.#..######..###.#..#.###..#.#.#####.##..###..##..##...#.#..##..#...#......#..#.....#.#.#.##.#.#.#.##.####.####...#.#.#
#...##.###..##..##.##..#.#...##.####...###..###....##..##..#.##.##..###.#...#...##...##.###.##...###.###..#.##.##.###.......#.##..##..#.#...#.##....####.#..###.##.#.....#...####..#.######.....##.##..##.#.#.####..#.#.##...##..#..#..#..##.########...#####...#....#######....######.#.###..##....#.#.######.##....#.##..##.#.########.##..#..#..##.#....##.##..###.#..#.#.#..#....##.#...####.#...#.#....#..#.##.#.##.##..##...###..#.#####.#..#.#####....#..##..#..#.#..#.##..#..##.####.#.######.#..#.....##.#.###..##...#..###.#...###...##.#.#..###..#.#..###........########.#.#...##..##.#..#.....##.#.##.#....##..##.#..##.##.#...#.##.#.###.#.#....####....####.####.##.###......#..##.#.#.#.##.###.##.###...##.#.#.######..#########.###..#..#.###......#.######.#...#.#.#.###..##.##.##.##..#.#..######...#........###..####...#####.##..###....#.#...#.#.##.#...##.....##.#.#....#.##.#...##..##.#...##.####.....#....###.###..#....#.##.####.###.#....#..#####.###...#.#...#.#..#.##..#.#####.#.#...#.###.#..#.#.####.##.###.#..#.#..#..#..##.#......#.##.####.#.#.#.#...#....#...####.##.#.####.#.#..#....####..#####...#.##..#.####.##.#....#.#..###...##..###..#.##.##...#..#..#.#.##....#.#..#####......#..#...###.##.#.#..#.#.###......#.#....#.#.##....##.##..###.##.#..###..##..#######.###..##.#..#.#.#.#..#.##...##.....##...#...##....##.#.#.#.#.###.#.###..####.##...###.#.##......#.#.#.##...#.##.#.###.##...#.#..##.##.#..####......#..#.##..##..#.####.#..###.###..#.###...#.#.##..###..#.##.#...#.#...#..#.#.#....#.#.#.###.####....###.#..#.###.####.#....#.#...#####..#..###...####..###...####.##....#.#...#...#.#.##.##.#.#####.#.#.###.#..#.#.##.......#...#...####.##...###..##..##...##......###...#.#####..######.####.#.##..##.......###..#######...##.#.#..##..##..####..###......##.....#...#.###.#...#..##..#####.#.###.#.#..######.#.#####...#.#...#..#.##...##.##........#...##.##..#..#..#...#.#...##...##.##.##..##.###.####...##.....#..####.##..#.#.###.###.##.###..#.#.###..#..###.######.####.##.####.###......###..##......#.
...##..#.#.#....#....##..####.####.#.#..#.#...###...##..##..##.#.####..#.#.##.#.##.#..#.#....##...##.#..#####.#..#..##.#.....#...#.###.###.##.#.#..#..##..##.#.#.##...#.##..#.#..#..#..#..#.#..###..#.#.##.#.#...#...###....###...#..##.#..........##..###..##...##..#.##.....##...#....#.#.#####...##..#.##.#....##..#.#.#...#.....###....#.###.#...#.##.###.#.##.#..##.....##.##.##..####...##.#.#.....#.#...#.#.####..##..#.#..#.####......#.##.##...####.#..##...######..#..#..##.####..#######..####....#.#..#...#####.#####.##.##..#......##.#.##.......#.#....#.#.....#.....###......##..#.....#.###.#.#.####.#.##..###.....#....#.....##.#..##.#.......#.#..##....##..#....##.##..#.#######..#.##..#...######.#.###.####.#...##..######..##.....###..####....#.##.#.#.#.#......####..#..#.....#.#..######.##.####.##.#.#..#...###.####.###..####..##.##.#.##.##..#..##.##########..#.###...#.####.#.#.#...#..###...##......#.###...###.####.#.#.#.#.#...###.#.#..#.#.#.###.####.##.#.##....##.#..#.#.#...#...###.#####..###..###...#..#.#.#..####.####...##.#..###..##.##.##.#.#####.##.#.##......#..#..#..#.##..####.....#.#######.##.#..###...#.#.........#.####..########..####.##.#..#.##.##....##...#..##..#...##........###...##..#...##..##....#..####...#..#.##..##...#.#...#.##.#.##.###....#.##...#.#...#.#.##....##..#.###.###..#...####.#.#.#.#########..##..#.##....#..##...##.#####....#.#####.#.#.#####.###.##.#...#.##..#.#.###.#.##..#.##.##....####.##..###..#####.#..##.#.#..###.#...##....##.#..#####.#..##....#.#..##.#...#...#.#.##....#..####.#...#.##.###.......##.######......#.......##.#.#.##.#####.#..#...###.#...#.##.###..#...##..##.....#####.##..#..###..#..##.....#..##.##......##..#.#.##.#########..###..#...##..##..##...#.#.#.##.##.##...#.#.#..##....#.......###.##.#####.#.##...#...#.###.######..##.#........#..#..###.#####..###.###.#.##.#.#.##.#.##...##..##.#....######...#.###..###..#.##....#.##.....###....##..###..#..#..#####.###.#.##.#...#.#.######..#..##.#....####.###.#.#.#.......######..#..##.#####.######....##
..#.#....#...####...#.#.#..##..#.#...########..#.#.#######..##.###.########.#.###.#..#..#.#.#####..#####.##..##........#..#..#..#.....#..#...##..#.#.##.#.##.##......#.#.#.###......#..####.#...#.##.######.#.###..#....#.#......##.##...#..#........#.###...###......####.#.#..####..##...#..#..#..###....##.########...##.##..#...#..#####..####.#.###....##...#..###..#..###.#.##.#.#.###.#.#..##..#..##.#...##.....##.##.###.#.##....##..#..####..#.##..###...##.##.###.###.########.#######..######..##..###...#...###.#.#.####.##.#....#.#..#...#..#..#.#..##..####....#.###.#..####........#..##...#.##..#########..#.#####.##..##....##.#..#####..##..##.##..##.###.##.##...#...#.#.##...##.##..#..##..#.#.......##.#.#..#...#....#.########.###.##..###..###......#...##...#....##....###.##.#.#######..#.#....#..##.###..#.#####..#.####....##.#....#..##.##...#.###....##.#.#.##.#...#..#...##..###.####......##...#..#...##.####..##..#####.#..##.####.###.#.#####..........#.#####...#.#######.###...##.#...##.#.#..#.#...#.#.#.#.#....###.#....##.####..#.#...#..#.##.##.###...##.#####..###..##...##.#.####.#..#...########..###.##...##......####.##.#.###....#...###.###..#.##.#.####.....#####.###...#..#########..#.#.#..#....#.#....#....#.#.##..####.#.######..######.##..##..#..####.#....#.####.#.##..######.##.####.#...#..##..#####...##.#.#...#..#.#.#.....###....#.#.#.#...####.#.#.####.....#####..#....###.##...##..#..##..##....##.##.##..#..#..#...###...#.##..###.#.#..#.#....##......####...###.#.######.....#####.#..###.###.#.#.#.#.#.##.#..#.#..####..###...##.#.........#.####..##.#.#######..#.#..###..#..####.....#..#########.#..#..#.#.#..###....#.##......##..#.##....#...#.#.##....#..##.#.###..###...#..#.#...##..##..##.#.#.#..#....###.###.####..#..#..#.#..#.##..####..#.#.....#..##......#..#..#...##.#.#....##..##.##.#.###......#######..#....#...#.#..#.#####.#...#.##..#.###..#..###....##.....##..#.#..#..###.#######.#......#.##....##.#.#...#.#.#....##..####.#.########.#..#......#######.##.#..###.#..##...#####.##...#
.....###.##.###.####....#.##..#...#.#........#.##.#.....#.....##.#..#.##.###.##.###..#####..#.#.##.###.#.#####....#...#..##....#...###..#...###.#######..#.###...#...###.#.#..###..##.##...##.#.#...##.###.#####...#.###....#...#.#..#..##.#....##.....##...###.##....#.#...#...#......#.#.##.#####.#.###...#.....#.###...###.#.....#........#....#..#.##.####.######.###.###.....#.#.##.#...##.#...#.####.#..#..#.##.#..##.#.##..###.#.#..#####..#.#.#..#....#....#...#...####..#.##.#.##.###.#..#.#..#.#.###.###....##.#..#.#.#......####..##.#.....##..#...##..#...##.#.##...###.#....#.##..#.#..#.###.##.##.#.........##...#.#.##.#.##..####..########.###.#..##...#####....#.#.#.#.#.#..#..#.#.##..###.##......###...##...#.##...##.#.#...##..##..#...##..#..###..#.#.#..#..#.#.......#####.#.##.....#..#..####...#..#.####....#..#.##.###..#..##.##.#.......##.#..#.##.##.##.##.####...#.#..##.###.###...#######.#.###..##.###.##..#..#.#.###..##.#.#...#..#.#.##..#...#....####....###...#.###...##.#.##..##.##.##..#...#.###..###.....##.....#..#....##..#....#..##...####....####..#####.#..##.#....#....##.##.##.#...##..###.#..##....###.##.##.#..####.###..#.##...######.####..###.#...#..##..##.###...######.#.#.#.##.###.#....##...#.###.#.......###..#..#.##.#.###..####........#.#.##..##.....#...#...#.....#####.###.#....#.##...#..##...#...####...#....#......#...#...#####.......#..#...#.#.#....###.#.###.#.##.#.##.#.##.....####.#.#...##.#....#.#.###.#...#...#..#..#..####..#..#..#.#..##.###...#..##..#.###..#..##..#.#.####.......##.#....######.##..#...##..##......#.###....#..###...#..#....#.#...###..##.####..##.##.#...#....##...##....##..##...#..####.#..#..##.##....#....#.....####.#####.###.#...#...#.####.....##.#.#..#.#.....#..##...##.######.#....#.###...#.##...#....#.....#.#.#..##.#....#.#.##..##.#......#.#.#.##.#####.##..#...##.....#...###.#.....#..##.#.#.#..###..####..#.#.......######..#..#.#.####.#...#.#.##.#.#.#..#..###.####.#..###.###.###..#..##.#.##.#.#.#.#######.#.#.###.....###...#.#.#..###..###.###.#.##.#...#.
#.#.###.#.#.#...###...#.####......#####...#..##...#..#.##.#...##.#..#....#.##.##..#.###..##..#.##...##...##.#.#..##.#.#####..##.#..#.##..#..#.#.#.#...######..#.#.#.#.#..#.###.####...###.#.#######..##.##.......#....###..#...##.###.#.#.#.##.##.#.#..##.#....#...##.#...#....##...####.###.##.#....###.#..##..##.#.#..###.#.#.##.#...#...#.###..#.##.#.###.###.##...###.#.#.###.###.#...#.#..#...#.#.....#.##.###..#.....#.#.###.####.##...####.####...####.###.#....#...#..##....#.#.###....##............#.#.#..##.#.#.##...###.####.#.###.##....##.#.#.#.######.#..#...####.#####.##.........#...#...##.#.###..#.#..##..##.##.##.#.#.##.#####..#.####..#......#.###.......#...##.##..#.#.#.##.##.##......##...##..#.#.##.#.##..##..###..##...#######..######......####..#..###......#.##.#...######.##.###..#.##.##.#...#.#.##.######.#..#..##.###..###...##.#.#..#..#.....######.#.#.##..#....##..##...###.##..###.##.####.##.#.#...##....###.##.#..##..##.#.##.##..#.#####...#.#..#..###..#.#...#..#.##..######.##.#..#####.##.##...##.#...#.######..###......#..#..#..#......#..#.#.#.#####.###..##..#.###..####.##.##...#.##....##.#.#...##..###.##.###.##....#.#....#..#..#.#####...###..###......#.#....#..#.#.###.##..##..##...###.#####.#..##.......##.###...#####..#....#.#...#..#..#.##...##..#####.####..##.######..#.#.##..#.###.##..#..#...##....#..#...#.#.#.###....#..#...#.##.#.###.##.#.####.##...#..#######..#....#..#.#....####....##...#.#..#..#.#####..##..###..###...###.##.###...#.#.#.....#.#.#.##.#......##.#....#####.##.###.....#.....#.....#..###....####..#....###.#.####.######..#......####..##.##..##...#..##..#.#.##.#...##.#.#.##.#.#.##....#.#....###.#..###...##....##..#.#####..##..#.#.#..###..#.#..#........#.#..#.####.##.#.##...#######...###.#####.##.##..#.#....##.##.##..####.##..#..###.#.###.#####.##.##.#.#...#...##.#.###..###.#.....#.##.##.#####..###..#...#.#####.##.###.##.###..#...#..###..##.#.##..#########.#.###.####.##...#.#..##..#..###.#...##.....#...#...#####.....##.#..#.##.###.#..#.#...###..#.#....##...##
#....##.#.....#......#.#....##.##.#.#.##..##.#.##...###.....#####.###.##.....#.#..#.........##.##.##....#.#.#.....###.#.##.####.....##.##...##..#....###..###..####.#.##....##..##....#.##.....##....#.#####...#####.#...#...#...##.##....##..###..#.#....###.##..##.#.###..##....##.##..#..##.#.###.##..##.#.#...#.....##.......#..#.#.#.##.###...###......#...###.#.######.###...#..##.##...####.####..#..#.#..#..#.#.#####....##...####.###.#....###.##....#...##...#..##.#.#..##.#...###.##..#####...#.##.####.#.#.#.#...##.####...###.##.#..##.#.#..#...#.#.##..#...##.##...##...##.....#.#.#.##.#.#....#.##..##.#.#.###.##.#####..#.##..#.###.....#..###.###.#.###.#....####.#..#.##.#.##.#.#...#..#.###.####.#.###.....######.#..###.##..#.#######.#..#...##.##...###.##...###..#....#...#.##.###.##...##..#.####.#...###.#..#..####.#.###.#..#..##....##....###.#.#.##.#.#....##..##.#.#.##.#.#.##.#...####......##.####.#...#....#####.###.#..###..##.#.#.##..#..##.#..###..#.##..#..##...#...#...###...##.#...###.#.####.#..####.#.######.#..#....###.#.##..#...#.###...#..##..##.#......#..##.##..#..##.#####..#.####.#######.##.#.######.#.#.#..###..###...##...##.#.#.##...###..#.#..#...#.##.#.####.#.##.##...###..##.###.##..##...##..####.....#.####.##.##.#.#...#..##.##.#..##.#.#.#.#.##.###..#..#.###...##.#..#..#..#####...###..##..#.#..#####.....#######.#.#..##...##...#..##.#..#...##.#...#..#####.#.#..##.##...#..#.####..#...##.#..####.#####.#.##...#..#..#.###.##.#....#..##.##.#.##.##..###.##..#..##.###...#.##.###.#..#..###.###..#..##.#..##..####.#####....##.###.#..####.###...##.......####.....#..##.##...#######.#.#######..####..##...#.#.#.##......#..#####...#...#.##.##...####..#.#.#.#.###...#..#...#.###..#.#...##..##.###.#.##.#.##..##...#..#.........#.#.....#..##.##..#.#....##.#....###..##..#.#.#....##...#...#..#####..##...#...##.#.#.#....#.#...#...#..###.#.#......#..###.#...####...##.#.##......#...#...#..#####..#..##....##.#...#...##.#..#.#.###..###..#...#.#.#.#.#..#..#.##..#....#.........#####..###.#..##..###..#
..#.#.#......##.######...##.#........####..#########..#....##..#..#...###.....##.##.###...#.##....####..#.#..####.#.###.#...##.###.###.#.#..#...#.#.##.#.##...#.###.#.#####..##.#...##.#..#...##..#.##.#..##.#.####..###.####..#####.#...#.#..#.#.##.#..#.#...#.....#.##.##.#.....#.#..##.####.#.##.#.#.#.#.#.#.##..########.....#....##..#.##..#.....###.##..#..##...#........#.#.###.#..#.####.#..#.#..#####.##.#...#..#.##.#.#.#.#.#.####...#.##..#.##.##...#.#.#..##..##.####..#####.#.###..###...####.....######....##...........##.##.###.#.##.##.#..##......#####..###...#.#.#...#.##.##.#.#####..#....#..##.#####..###..##.#.##.###..#..#.###.##....#.##.##..##..#######.#.###.##....##..#.....##.##.#...######..#..##....###.###.#####...#...#.#..#####..#.#.###..###....####......##.###.#..#####.#.#........##.####...#.###.##..####.##.###..###....##.#....##..#..##.###.#.####.##.#...###..#.#.#.##.#...#######.#.##...#....##.###.#.#.#.#.#..#...#......#.##.....###.#.#.##.##...###..#.#.##...###.##.#..####..##.....#.##.#..###..#...#.#...#####....##.#..#..#..##..###.##..##.#...###.....#.......#.#..###.##..#.#.##...#..#..####..#.##..######.####.###.#......#.#..#.#.##...#...#..##..###...#.#.#..#...#.#..###....#.#.#.....####.###.#.#.#..#...#....#....#..#.#.###.#.###..#.#.#.#.#..####.###.#...#...##.#.##.#.##..###..#..##.#..###....#..#...#.######.......#####..#.###.##.##...####..#..#..#...##..#####.#.#..####..####.#..#....###......##.###..##.#..###.######.#.##.###.#.#.#.#########.##.#..##....#.#.###..###....####.....#....###.###......##..####.......###.###....###.....#.##..###....##..##.#......##.###.#.#######..#####.#####.#.##..##....##..#.#.##.#.##.###..##.####.##..##...##....#.#.#..#.#....#.#.....#...#..#.#.######..#.#.##..#.#.#.#...#.#.####.#.#.#..##......##...#....#..#####.##.#...#..##..###.#.###..###......##.#.#####.#.###.##..#.###....##..###.#.##..#.#.#..#.#.#.....#...#.#..#.#######...#.##.#######.##...#..###...#...####..##.#####..#.#####.#..#.#...#.#.##.########.###.##.##.#..####.#..###.....#..##.
..#..#....##..#.#..#.#....#.##.#.###.##.###.#..#........##.#.#..##.##.####.#.#........#...#.#.####.##.#.#..#.##....#......#.#..##.###..#...#....##..####.###.#.#..#.#.#.###.##....###..###.##...#..#.#...###.##.#...#....##.#.##.#.....#..###..#...###.#.#......#..#.....###..#..#.###..##..##...#.###..#.#.#.##.##.#..######...#....##.##.######.#..#..####.#.##.#......###.###..##..###...#.######........#.##.....##...#.....#....##.#.#..#....##...#####.....##.#...#...##....#..###....##...#..###..##..###.###.....#....###.#.####.##.#..##.#..#.####...#..#####.#..#......#..##..#..####..#...###..#.#.#..#.####.#.#.##.#..##..#..##..##.#..#.###...####..#...#.###.#....###.###...###...##..#...##.##.#####.###..#..#.##.#.##.#...#..##.#..#..#.#.#######.....##.##.###.##.#.######....###########......#.#.##..#...#...#...#..###.#....#.#..#.#####.#.##..##...##.#...##..#..#....######..#.#.#..#..#...#.#.#.##.#......#####.###..#..###..#.....##.##...##.##.#.....#...####..#.##....##...#..####.#..#.#.#.##.#.###.#...##.#..##..#...##..##..####.##.##.#.#..######..##.##.#.#....####..##.#..##..##.#..##.#.#.###...##....#....##.#.##..#.##........#.#.#.####......#.###.......#.#...#.#####.###.##.####.###......##.##..#...##.#...###.##...#####.#.##..######.#.#.###.#.#...##..#.##...####.#.##.#..#######.#.#########.##...#...###...##..#..##.#...##...#####.#...####...###.###.#..##..#.###.#..##.#.#######.#...#..#.#.###..#.##...#......###.##.##....####...#.#.#.##.#...#.#...#.#.#....#.##..#.....###.###...##...#.....##.#.##.#...#.#####....###....#.##.####.#..#.##..#...##.##.#.#####.....#.#.#.#..##...#..#..#...#..#...#.#.#....#...#.#######....##..#.#.#####..#..#.###..########.##.#.#.##..#..#...#.###..#.##.#..#...#.#...#...#.###.##.####....#...##..#.###..###.#####....#.#.....#.....#........##.###.#.##...#.##.##.###.#......#######...#..##.###.##.#..##..#..#..#.#..#####.#..##.#..#.###.##..##.###.##..#...#.#.#...#.#..##..##.#.#.#.####........#.###.#.##...#.#.#..#...#.#.###.####.#...####.#...#.##..####.####.#....#.###.#.#..##
#######...#...###.....###..#.##..#..#.#.#...####.##...##.###.#...###.##.#.##.##.#.#.##...##...###.###.##.##.###....######.##.#....###.#..####...#.#..##....#.##..##.##.##..###......##...#.#....##.####...##.##.#.##.#.#..#.#..#####...##..##..##....#####.##.#..###########.#..#....##.#....###..#..##.##.##..#..###.##..#..#.....##..#.#...#.....#.#.##...#####..###.##.#.###...#.....##.#.####.#......#..##.##...#.#..###..###.##.###.##...#..#.##....#.#######.######.#.#..##.##.###.#.#..##..#####.##..##.##..#...##....#..#.....#####.#...###...##..#..#.#..##.#.#.##.########.#.#..##.###.##..#######.##.....#..##.##...#.###...##.#.#.##.##.#.###.#..#.####..#.###.###.#.#..####..###...##.#..#..##...#..#.#....####.###..##.#.#.###.##..###..#...###..###..#.#######.#.#.###....#.###.....##.#....#..###......#.#.#.......#.####.#.#.#.##..#..###........###..##..#.#.#..##..##.##...#####.#......#.#.###..#...##..###.####.#.#.##.##..##..##.#.#....###.####..#....##.#.....#.##..........##.#.###..#.#.##..##########..........###.#.#...#....##.##...#.#..#..#.#.###......##..#.##.##..#...#......#####.##.###..#..#.####...#.##....#.#.#..##..##...###.#.#..#.....#####..####.##.####.###.####....#.#.##..##.#.###.##.....##.#.##.#..#.....#..##.##.##..#.......#..##.#.#..##.#.#.##..######.####.#.#..###.####.#.##.....##.####.##..###.##.#.##.#######.#..##..##...#..#.###...##...#####..#.####..#..####.#..#.#..##.#.##.#.#.##.#.#...##...#####.#.##...###.....#.###..#.#.#.#....##......###...#######...##....##.....#####..###......##.##....###.##.###....#..#.....#.#.#.#...#..#..#.##.#..#.#.##..####.###.#.#.#..#..#........###.##.###.....#.##..#....##.......#.....##.###..#######..#.####.#.##..#.#.####..##.###.....##..##.####....##..#.#..#...#####.#..#....#.#.##.#..#.#....##...###.##...#.###...#.##.#.#.###.#...#.#.##...##.#.#.#.###.##.#.######.#.##.....#.....##..###.###..#.###.#.#...#####...#..##...###.##........#..######...######...#..##..#.#####.####..###.#..##..##.....#.....##..##..##.#....#.#.#.##.#...#.#.#.######.##.#..##.##
.#.#..#.#..###..#..##..#....##...##..#..##....##.#.#..#####.#..##.#....#..#....###..#.###.##..#....#.#.##.#...#...###.###.#####..##.#.##.#.#...###.##...#.#...#...#...#######..#...#..#.#.#.##...###.#.....##...######.######....###...#..#..#....#...#.##.#.#.....#....#.#.##..#...#..#..#.#...#..#.#.#.#....###...##.#..##.#..#..####...#.#...#..###..#.##.#.#...###..#.#.#...#...#####..#..####.##..######.######.##.##...##.#####...###...#####...##.####..##.##.#####...#.###..#...#..###....#....#.######.#...###.####.#.#.....##....###.....#.#.##..#.###.....#.#.....#.###..##.##.#..#..###..#...###..#..###.#####.#..#.#####.##..#.###...#..#..#.####..#..#.#.#.#...#.##.##....###...#.##.####.#..#.#.#..#.....##.#.#..####......##.###...####..##..##.####.##.##.##.###..#.#..#.#.##.#..########....##...###..#.#.##....##.#..#.####.#.#...#...####..#.........#.##.#....#.......#..#....###.##.......#.##.###.#..##.##.#.#.##...###...##.......#..##.#.###.#.#...###.###.#.####..#..###.#.#.##..#..##.#.#..##...#.#.#.###.....#...#....#.###.#.#...#.#.#...######.....##..#.#......##......#..#.##.#.####......###....##.#########.###.##..#.###...#.##..##..###..#.##...#.#.#.##.....#.###...###.....#.#.#######.#..#######.....#....#####...##...#....#.#.#.#.#....#.#..##.#.#..###.####.#...#..#.##.#.#..#.#...#.##.#.###.....####...#..#..#.###.....#...###..##.#..#.#...#......#.###.#.#....#..#.#...###..#..##.##.#...####..###.#.#....#.####.####.##....#.#.#....####....#.##.###.#.##....##.##..##.#.###..##.#.###.##...###.#..###.####...#.#.#.##.##...####..#.####...###.#....#.##.#.....###.##...#..#...##.##.....##........##.#..##.#.##...#.#.##..#....#.###.######..#.####..##.####.###....###.#.....##.#.#.###..#.....##..#..#.#..#.##..##..#...##.....##....##.###..####.#...#.##.##..#.#.#..#.#..##.#.#...##.###.#.#.#..##.##.....####.###.#..#....#..##......##.###...##.##...##.#..#....#....#.#.###.###.#....#...###..##.##.#..#.######.###.......##.###.#.#.#.#####.##.#####..#.##...##...#####.#.##.....###.##.....###...#..#......####.#...###
..###.#.####...######.##.####.#.##.##...###.###....##.##..###.#.#..##..#.#.###.##..######.....#.#.#.##..#....#..##.#.##.......###...#......#.######.....##..##....##..###..####....######.##.....##...##.###..#.#.###.###.....##..##.##..##...##...#...##..#.##.##...###..###.##...#..##.#####.#.......######..##.#.#.##...#.#....###..#....##......#.##.#...##.#.##########..#..#....###..#.....#.##..##.#......#.###..###.#.#.....##.#..#.##.#.##.####.....####.####.....#.##...#.##.#...#.....#.####.#.#.#...##..####.#............#..##.#.##.#..#.###.#..#.....###..###..###.##.#.##.#.#.#######.#..#..####.#..##..#...#.#..##..#...#.#.##.##..#.#.#...#..##..##.##.#..##.####.###.#.##.##..#.##..#.###.##.#.####.#..#.##.#...#..######.####.##.##.######.#.#....#....#.....##.###.##.#.###..#.#...#.###.#########..#.#....##.#...#######...#.#.#.##.##.##.###...##.#.##..#.###...###.##...#.###.##.##..#..##.####..#.##.####...#..#.#.######.##.#####.#..###..#.##.....###.##.##...##.##.#.#.##.##..#####...###.#.....#..#..###.#..##.###..#.#..####.#####..##.##.##..######....###.#.#####.#....##.##....#.......#.#....#...#.#.#.##.####...##...##...#..#..###..##.#.##..#....####.##.###.#.#...#.##.####...#.....#.##...##.#..#.....#...#..###..#.#.#..###.#.###..####.###...####....#....#..#.#...#..##..##.##..#.#.#..#.####.####...#.#..##.#...###...##.##...###..###....#.#.###.##...###.#.##.#..#####.#.#..#.##.#...###..#..#...#..#..#.#..##.#.##.###.##.##.###.##.#..####.#.#.##.#.#.#########.##..####..#.#..##.#.........#.###..#.###..#.#...##..##...#.##.####.#.....#...#...###...##..##..###...###.#.##.#.#.....##.###...#.#....####...#.##.#....##...#####....#..#.##..##.####.###..##..##.#..####.##.#...#....###..##.##.#.###.#.....#.##..#..#.#....##.#..##.#.#.#....#..#.#.#.....#..#.##.####..####.####.#...#...#..###.#.###.##.#.####.##.....##.##..###...###..#...##.######..#..#.#.##.##..###...#.#.#.#.#...##.....##.##.#..##.#.#.####.#######.##.#.###.....###.#.#.#..######..###.###.###.....#.#..#....####....#####.#..#.#.....#...#..#####.#.#
...#...###.#.####..#....#####.#####....#..#.###.#..#....#..##.####.#.##.#....#..##.......#..#####....##..##.....#.....#..#.##.#.#.#.#.##...#.####.##..##.....#.####.##...#....#.#.#..######....#.#.#...#....#.#.......###.####.#......##..#..#...#.####..#.##....#..####..##.....##.....#.###....###..##...###.#....#..#.#.##....#.#.#.###..###...##.##.######.##..#.#..##..#.....#.#...#...#...####.#..#.#.#....#...#..###.#..#.####..#.#.##.###.#.####..#..#.#.#..#.###...####.........####.#..#.#......##.##.#..#.####.#..#.#.#.#.#...#.#.#...##.#.##.#.....#...###...#...#.....#.##..#.#..###..#..#.#.#.####...##.#.#.##.#..###.####.##....#######.#.##.##.#.##.######.##..##..#######.#.##....####..##.####.##...##...####.##.....##..##.#.##..#.##.##...###...#...##..#.#####.#..#...#.#.###.....#.####...#...##..#..#..####..######.#.##.#.###.....###..#.#.##....#..####.#.#..###.##.###.##.##.#.#....###.#.####....#.#.###...##.#..##.#..#..#.#..##..##.....##.###..#.##....####...#.##.#.####..#..###.##..##..##.#..###.#####...#.#..#####.##..#.#.###..#.#.......#####..##..##..###..#.#.#...##..#.###..##......#.##..#...#..###...##.#....#.##..#..##.##...#...##..#..#..#.#####.####..####..#...#.###.....#####.#....##..#.....###..#..#.##.##.#.###.#.#.####...##.#..#...###.#.####..#..#..#..#....##.##..##....#.##..##.#####.##.#.#..##.##.#.#..##.#..#....#.........#######..#####.##......#.#..#..####...###...#.......#.###...#.#.########..###...#...#.#.#..#.#####.##..##.#.#.#..#.###...#........#.#.#.......#.#...#.#.#..#.########.#.#...#....###..######..#.####...#.#...#####.#.###.####.##.#..#...##.#...#.##..####.###.##...#.#.####.#.#......###.#.#.#..#.#.###..#.#.##.#..#..#...##.###...#...#.#..#..#####..##...#...###.###.####..###..#####.##...#......###.#.####..#..##...##.#.##...##.##.#.#####.####.#...#....#####.#...#...######..#...#.....#....#..##.####.###..###....#..##.#.#..#.......#.#.##..#...##.###..#.##.##......#.#..#..#...##.##..##.##...###.#..#.###.#....##.#.#####.#...#......#......#.###.....##..#.##...###.#.#...##.#
##....#..###.###..#..##.##.#..#..###.###.#..#..######.#..#....#...#####..#.###..#..##.#.##..#..#..#.#.##...##.#..#..#.##.###..####...##...#.#..#########.#.##..##.#.###..####.##....#.##..###.###.#...####..#.#.##.##.#.#......#.##.##.##.#.#.#..##.##.#..##..#....#...##.##.######.###.###.###.......###.#.#.#......###.###..#........#...##.#.###..#####.#.#..#...##..#.#..#.....###.#..###...##.#..##.#.#####.######..###.#.##..#..###.#.#.....##.#..#...#...#.....##..##.##..#...##...#.#...#.#....#.#.#..####..#..##.#..#.###........##.###.###..##.........##.#.#..#..##.#.#####..##...##.#.#..#.#.#.####..#######.###...#.###.##.#######...##..###..######....#.####.#.###..#..##..#.#....#..###..###..##.#..###..####....#..#.#.##...###.#.##..##.##..##.#.#.....#...#...###.....#..####.#...###.##.##.####....#..##..###..##...#.#....##.#..#.#...######.###....##.#.####.##.#.#.#.##.....#####...###..##....#.##.#.###..##.#.#..##.####...########.....##.#.##...#..#.#..###.##...#..#.#.#........#.####...#....#........#.##.#.#.##....###..##..#.....##..##...##..#..#..#.###..##.##.##..#####.###.#......##....#####.####.##.#.#.#..##.##...#..#.#.#.#.#..##.##.#.###.#.####.####.#.#.#.#..#...#.#.#####.#.#..#.#..####.#######..###....#....#.......##...#.#.#..#.#...#..#..####.#.#...###.###..#.#..#..###..#......#...#.###.##.##.##....#..############.#..#..#....###.##.#..##..#.#...##.##.....#..####.#..##.#.#.#..#####..##....###.#.#.#....#.....#.######......###.###...#.###.#.#####..#.####..#.#######.###.....#..#..##.#######.##...#.#####.......##.##.##..####.##..#..........#..##.##..###.##......##.##.###.##.###.#.#.....##.######...#.....##...#...#..#.#.##.##..##.##....##.#####..###.####....##.####.###.###..##..#.........##.###.#.#######.#.####.#..#..#.#.#..#...###...#.#....#####...#..########....#....##.#.#.#..#.#...##..#...##.##.##.###.#.##...##..##.#.#...#.###.####.####.#.#.##...##.#....####..####..#...#....##.#####..#.#.##........#.###.##.#####...##.###.#...##....#.#.##.#..###....#..#.#.#.#.#######.#.####...#.#.#.#..
###.#..#....#...#.###..#.#.####.#....##.#..##.....#..#....#..##..###..#..#.####.....#.##.###.#.##.#.#...#.##..#...#.#..#.##.#..###.#.###..........#####.###.#.###.#...#..###..#.##......###..#..#.#.###########..#.##.#####.##..#..#.......###..##..#......#.##...#####.###.###.##.#..##.##.#..#..#.#...###...##.##..#.#....####...#.#..#.....##.#....#####.###..#..##.##.#.##.##.##..#....#########.####....#.#..##.#..#...##..#####..#..#..##..#...#.#..##.##..#.#..##.#.#.##.#####.##.##.#.##..###.####.#.....#.#...###...##...##....##.##.#....#.##...#.##.###.#.....###..##....###.#...###...########...##..#.##.#####.#.#.#....##...#..#.#.####...####...#####.#.####.###.######.##.#.#..#..##.#..#...###.#.#..#...##..##..#..##..###..#.######.##..###.######..#...##...##..#..##.##.#...#....####.####.#.###.##.##..###.#..#########....#....#.#.#...###..##....#.#.#..#......##..####.##....###..##.####..#.#.###..#.#..###...#...###.#.##...#....###.#.##..##.#######..##...#......##........#....#.###..###.....#.#..#.####..#.#..##..#.....#.##..##.#...#.....#.#.###..##.#.#...#..####..#..###..#########.#.#..#.#.......#.#..##.#...#..#.###.#.#####.#.#..##.#.#..####.#.#..#.##.##.##.####.####...##.##.##....#..#...####.#...#.#.##...#.###.#..#####..#..##.####.##..#.##.#..#...#######..##.##.....#.####.##.##.###...#.#..##..#.#.#...#.#.##.###.........###.###.##.##.#######.##...#.#..####...#...###.#....##....##.#..#...#.###.###....#......##....#..#...##.#..####.#..###...#.#...#.#.#.#.#.###..#..##.##.#..#..##....##.#...#.#.##..#.#..#..#....##...##.####.....#...#.#.#####...#..#######...#.#...#.#......###....##.#.#.#......#....#.#.##....#.#...#...###..####.###.##.....#####...#...#..#######..##..#...#.#.##.####..#####.##...####.##..#.#..#..##..#######.#.##.####..#.####...#.#.#.#.####..#.#..###..#..#.#..#..#.#.......#####...##.....####..#.###....#.###..#..#..###.#..#.....#..#.#....##...##.#....#.#.#...##.#..##.#.####..###..##.....###.###.#..####.##.####.......#.#.###..#..#..##.###..#.###..##..##...#.###...#.##...#..#..##
....#.#######.#...#...##.##..#.##...#####...........##..#..#..#####...#.....##.#..##..#..#.##.########...#....###...##.####.##.#..#.##.##..#..##...#..#######.###.#...###....#..#.#.#.##.#..###.##.#......###..##.#..#.##.#.###.#####.#.#.##..#.###.###......#.#####..###...##.##...#####.......#.##.#..#.....##...##.##.####...##.#..#.#.######.##....####.#.###.###...##.##...###....#..#.......#..##..###..#.#..#........##.#.###..#####...##...#...##.#.##..#..#...###.#####..##..##..####..#.###...#...##.###.#.######.....#..####....#####.###.##.##......#.###....#.#.#...###.#####..####.#..#..#...####.###......##....###.#....#....##.#.##..#.###..##...##..##.#..###.####...#.....###...#.#...###.#.#..............##.##.#.#..#.#.#.#..###.##.#...##....###.#.#..##..##.....#..######...#####..##...####.##.#.#.#..#....#...##...####..##.###.#.###..###...####...##.###..#...##.#..##.###.###....#.##.#..###...#.##..#.#..##.#..#####.##..######..#.###.######....#..#.##....##.#...##.#...#..#..#....#.#..###..##.##..######.###.#...##.###..####.##.#..#..#..#..##..#.....#.###..#...#.#.#.....#####..#.......#.#.##.....#.##.########..#.....#.#######.##.####.#.#.#.##.##.#####..#......##..#######..###.#.#.#.##.###.#..###.#.#.#.#.#..#.#..####..#.#..#.######..##.####..###...#...####..####..#........#..####.#..#..#..#.#####......##...##..##..#..#.........##..##.##..#.....#.##...##.##...#..#.##.##....#.....#.##.##...##.###..##..####.##..###...#..###...##..###...##..####...#.#.###.#...#####.##.##.....#...#.#...##....#.#...#.##..##..###.#..#..##..##..##..####.#..#..##.........#.#.#...#..##..###.#.#.##.#..###.##...#.#.#########.#.#.#.###...##.#.######.##...#.####.##..#...######.#..#.#..#.#.##..#..........##.###..#####...#..##.###...###.#.##.##.######..###..##.#..#.#..##.###..#.#..##.###.#..#.##.##.#.#.##.##...##.#.#.##.#.....#.......##.#.##.#..#...#....##.....###.######....#....#..##..##.##..#......####..#.##...#.##..##.##.###....##...####.#.#..#..#.#####.##.####.#.....#..##...##.#.##..##....#..#.#.#.#...##..#..#...
####...##.###.##.#.#.#.###....####.###.#####..##......#...###..#####....####....####...#..####..###..#..##.##.#.#.#######.##......#.#.#.#..###.####.##.....###..#####.....#.#..######...##.##...#.##.##..#.###.#..#.#..####..####..#.#....####...###.....###..##.#..####.####...##.##.#.####.#.#.##....#.##..##...#.#.#...#.##.#..####.#...####.....#..#.#.#...###..#..###..##...##..#.#.#..#...##..###.##..#....##..#...#.#.#....####.#..#.#.#..##...##..#...#.###.....#..#.##..#...#..#.####...####.#.##.....##...##.#...##.#.#.#..####.#...#..#...##..##.##.#########.#..#.......##.#..###.#.###.######......#.......#.#.....####......#.####..##..####.#.###.##........#.#.#.###.#..##.###..#..######.#.#.####....#..#.#.#..#.#.......##....##.###...######..#.###.###..#.###.####.##..#..######..##.#.###....###..##..#.##.#.###.#.#.##..#........##.....#.###..#...####...##...#.##.#..#...##.###.##.#..##.#...#....#.#..#...########..#.#.##...#.####...##.##.#.#..###..##....###.#.##.##.#..##...##.......##.###.#.##..#...##...#.##.##.#...###..#..#.###...##.##.##..#.#.##..####.##.##...#....##...##..###....#..#....#####.#...#.#.###.######.####.#.#.##...##..#.###.##....###.#.....#...#.#.##.##...#####.####..#####.#####.####..#..#..#.###.#.#..#.#.#.#.....#.###...##..#.##.#.#..#.###....#.#.#..#...#...##.#...#######.#.##..####....#..#....#.#.##..#.##.##..###..###.##..##.#..#########.###.#.###..#.##.####..#..###...#.#..#..###......#.....#...###.#.########..####.##.#..#.#...##.##.#...##.#.##.#.#..###.#..#....###.##..#####.####.####.#.#####.##..##.#....###.#.#########..#...#####...##.##.#.##.#.###.##..#.#..###.####..##.####..####.#.##...#.##.####....#.#.#...#.#####.#.###.#..#.#.#.#..##.####..#.##...##...##.#######.##.##..#.#....##..#####.#.###.##.#....###.....##.##....#.###.#.#......###.#...#..#..#.##.#.###...#.#..#.##..###....#.#....##.##...###.#####.#.##..##......####.##.#...#...#.#.##.####.#######.#.#....#....#..#...####.#...#.#.#####....#..#.##.##..##.........##.#.#....#..##.##.#..##..#.#......#####.##....#.##...
#.#.#.###.##.##.....#######....#.##....##...#.#.....##.#....###.###..#.##.#.#..#.##.####.#.#.###.#.......#.#.#.##.##....##......######..######.##...#.##..###.......###.##.#.##......##.#..#.#..#..###.....##.####..#...#.#.###..##########...##.##..#.#..#..##.#.##.##..#..####...##.###.#.##..##...#..#.##..#.#.##.#.##.#.#...##...#.###....#..#..######.#....##.#.#.##..#.##..##......#.##..###.#.#.######...##....#.###..#.##.#.##########.#...#...#.##....##.###.###..##....##...#..#..#...#.#.##...#.##.#.###.#..#.#####..###..........######.##..#.###..#.###...##.#.#...#.####..##..##.#..#....####.####.....#.#...###....#.##.##..#..#######.#.###.###..###..######...###..##..##..##.#.####.####....####...#.#.##..##.#.##...#.#.#.#...#......##..#.#.#...##..#....##....#....###..##.#....#.#.......#..##...#####...#####..#.#...#.#.###.#.####..#.##.#.#....#.#......##...###.###....#...#..###.##.##...##...##..#....##...###.#..#.#......##.####..#..#.##.#..##.#.....#.#####.###.#....#.#..#.#...#.#.##....####...#..####.###.#.######....##.#.#..###.##.###.#..####.###.#......#...#.#.#..#####.###.#.##.#.#..##.#...#.##..#.####.#....##.###.#..####.......#.#..###.#.....#.##.#.#..#.....#..#####.#..##.##..#..#..#.#....#..#..####.#..#.#...##.####.#.####.####...###.####...###.#....####..#.##..##.#.##.#..##.###.##.##.#.##.#..#####..####..##..#..######..#.#.##.#....#####.#.#.#...#.....##...#.####..#.#.#....#####..##.#.....##..##...#.#.#.##.#......#######..##.###.#.#.###..#.#.#..#.###.###....###.##....###.#.##.#..#........##....##.#.....#...######.##..#....#.#...##.######.#...##.####.##.##....##..####.##.#.##.#..##.....#.###..#...##...#..#..##.##.......#....#.####..##.#######...#..#.#......##.####.#..###.##.#...#.####.#...##..###.#.#.....##...###....##.#..##.####.#..#..#.#.#..#.#..#.###.####.#.#.#...#.#..#####..#.#..#....#####..#.##.#.#.##.#.#.#.#.#..####..###...#..###...##.##.#.####.###..#..####..###.###.....###.#..##.....#..#..#....#.##........#.#.#..#...#..####..#.#.##.####.#####.######..#####...#....##...#...
..#..####..#..#..##..####...#.#..#..#.###.#####.....####..........####.#.###.#...#.....#.#.#..##..##.....##..##.#.#..##..##.#.##..#.....###..#..##.##.#.##...###..##...##..###.####.#.#...#...#.#.##.#.#.#.#..#..###.....##..###.......#.#.#.#..##..#####...###.##...#####..###..#..#......##..#######.##.#..##....#...#...####..#.#####..###...#......#..#..##..##.####.########.###.#.#..####.###.#.#.#####.##.###.#.##.#..##.##..##......##.#.#.#.########....####...#..###.........##.###.......#.##..###..#####.#...##.####.#.....#..######.##.##.#.##.#.#.###.###..###.##.#.#.######..#....#.#.#.##.###..#######.##..##..####.....#...#..###.....##.....####.##..#.##..#####.#..#.#.###.###..#.#..#.##.##.##..####...#.##.##.#.##..#..#.#####.#..##...####.#.#........#######.#..##.##.##.###.....#..#.#######.##.#.####.#.#.#...####.#.#...##.#..##.#.###..#...##....##.#.#.#######.##.##.#.#...##.#.#...##....#.####.###.###....##...##..#..###.#####.##..##.#.#..##....###...#....#####.###.####..###.#.####.##..#....#...###..#####.########.##.##..###.#..####.##.#.#..#.#.#....###.##.#..###.##.####...##..#.......##.#..#..#...##.#.#.####.###..#.#.##.##.##.##.#...##...#.#...##.#####.....#...######..##.####...#..##..#..##.#..##.#.#......###.##.###.###.#...#...##.#.....###.##.#....#.####...##.#..##.#.##.#.##.#..#..###.#....##..##......#.....#..#..##.###..##...#.#.###.#.####....#..#..####.#####.#.##...##.###..#.####.###...#....#.###...##..####.#.#..#.##...##..###...##.#####..##.##.#...##.#..####.#####.#####..#..##...#.######...###.#.####.....###.#####.###...##...########..#.#.##.##....#.#....#.##.#.##..#.####..#...##.#.##.#..###...##..####..#..####..##.#.##...##.....#.#....##.###.#.###..#..#..##..####.#.##.##.##..#..#...#.#.#.##.#####.#####.#.##..####...#..#.###..##.#.##...##..#..##..#..#.#.#.#...#.##.##.#...#.#....#.####...#.###.#..####.##.#..#.#..##.......#..##....##.#..##..######.#.##.###..###.....##.#.#....##.##.##...#......#..#.......##.#.#.#.##...#...###.####.#....#.#.#####.#.###....##..##...###...##.##.#.#
#..##....#.##....#.#.######...#.##.##....###.##.#.####...#.#####.#..#......##...#....#.#####.##.##..##..#.##.###..#.#..#.###.......#..#.########.###..##....##.###.#..######.##..##.#..###.#...##.#..#...#....#.###..##.##.##....#.##...###.####.....##.#.###.#.##.#.###.##.#..#.#...#.##...#....###.#..##...##.##..#..##..####......##..#.###....#.#.###.#..####.###.####.##.#..#.##.....#.###.###..#.....#.###..#.#.#.....###....####..####.#..#.....#..###.#...#.#.#....##.####.#...##..##...#.#.####.##..##...#.#.##..##...#.#.##...#..#.#.###..###.#....###..#...#.###.......###.####..###.#..#..#.##....#.#..##..###..##.#..#..#...#.#.#...##...#....###....#..........#..#.###.####.##.##.#.#...#.##...#.###.#.###.####.#.##...#....#.#.#.##..####.#..#.##.######.###.#.#.#....##...####.#.#..#.....##.#...#..#....##.##.####.##..#####..#..##.#.#.#.....#.#.###.#.....####......##.#.#..#####.....####.###..###.##.#.#.....#..#..#.....#####..#..###..###....#.###.#..##.#.#.#..#.#..#####....###..##...###.##.#.#..#.####.#...##..#...######..#....####...#.###.....####..#######.##.......##..##.....#..##..##.#.####.##.#..#..###.###..#...####.#.#...##....###.#.#.##.##..#..#.#.#..#.#..##........#.##..###..##.#####.##...#....#.#.#..#..######.#.#..#.##.....#.......####.#..##..###.####.#.##..##.##.#...#.###..####..........##.#..##.#...#.#...#.##.#.###..#.###.#..##.#...#..#..#.#.##.#..#.#..#....##....##.##.#.##..##..##.##.##.###...#...#.###..####..#####..##..#.#...####.#..##..#....####..##..#...#.##...####.####.#...#..##....###.#.#..##..###..#....#.#####.##.####.###.##.##...##..#.##..#####...#.##...#..#..#...####...#.#####.#.#.#.#...#..####.#.#.#.##...#.##..#####.#####.#..####..#.##..#.#.##..#.#.###....##..#.#.#####.##.#.##.##.###..####.......##.##.#...#####..##.###..#...#.#####....#....#..#.##..###........########..#.#.#.#####.####..##....#.####..###..#.#...#......#.#####.###..#..##...#.##..##.#..##..#.######.#..###...####...##.#..##.##.##.#.#######.##.#..#######.#.#...####..#.##.#.###..#...###########..#.###.###.#
..########.#...##...##.##..#####......##.##..##..###...#..#.##......##..##.#.##..##..#.......#..#..##..###..##...#.##...###.#.#.##..#.#....##.#.##..#.....###...##.##.##...#..##.#.....#.#.###....#...#####..###..#..##...###.#..####..#...###..........#.#..#....###..#..#########.#####.##........#..##.###..#.#.#.#...#.##..#..#.#.#....#.###...####....#.....##.##.###..#.##.#......##.##..#..####.#...#..#...#.##.#.#.##..#...#.##..#.####..##..#...#.#..#.#.##..##.#...####.#...##.#.#.#..######.##.#.####....#..#.##.#.##..#....#.....#.#####.....####....###.#.#.##........###.#..#####..#...#.#.##...#..##...###....##.....#.###...####..##.#..#####..###..##.#........####..#.#.##.###.......#.#..#####..#######..####.#.#..#.####..#.##....#..#..###..##...##...#.#.......#.##.###.....##..#.##..###...#####..###.#..#.#.##.##.#..#.##....#..#.#.####.#.#...#.#####....##..##...###..#.......#..##...###.#####....#..##.###.....#.#.#....#..#####...#.#.#.#..######...#####.#.##.#....####.#..#.#..#...#.#.##.#..##.##..#.#..#.#.##......#...#.#.###.#.#...###.#..#.##...###..##..##...####.#...######.##....#.##..#.##..#.#.....#.#..#..##.....#.#..##.#.#.#...#..#.#.####.####......#..####..#...#.#.###..##..###..#####..#...#....##.#.#..........#.#########...##..#...#.#.#.#.##.#.#.....#....#...###.#..###.##..#.#.##.#..#...#.##...#....####...#....##....#...###..#.#.....##...#..##.####.##.##....##.#.#...#.###.##..#####..#..##.#.#..#.....#.#..#.#.##...#.......#######.#...#.#..###...#.#..#..#.......##.#.###..###...####.#...##.#.##.###.#...####.##...###.####.#..##..###..##.......#..#.#.#.#.#.....#..#....#.###.######...#..#..##.##...#...##..#.#.#...##.#.....#.#......#.##..#..#.##.##.#.#....#######.##.######..###..##..####.###.##.#...#.#.......###.##...####.#.#..#..###.#.#..#######.#....#.#.###.#...###.#..#######..##.###.#..###..#.#.#.#.##..##...#.##...#.####..##.####..##..#.##...###..#.###......#.#..#..##..#.#.#...#.##.......##...####..##.#.#.#.###..#...##..#.##..#.##.##.##...###.##.#.###.##..#.#.#.###.##..#####..####.#
###.#####.#.##.....#.#..##..###.#..##..##..##..###.#....##.#.##.##.#.####..##..##...#..#..#...##..###..##..######.##.#.####..##.#..#...######.###..###....#.#.#.####.###..#.##.###.##..#######.#........#.#.#.##.##..#.#..###...###.#.#..#...##.#...##...#..##.##...#.#.#...#.#.###...#####.#...#.##.....#......###.....#....#.#.###.....##..#.#.##.###..##.###...##.#...#.####.#.####..#.......########....#...####..#.#.###...#..##.##..####..#####.#..####.##.#...#.##.#...#####..#.#...#....##.##.##.#.#....#..######..#.....#..#..#.....#...##....##.#..#.#..#..#..#...#....##.#.#.#..#####.#...##..#.#####..######..#.#..####.##...#.#.##...#...##.##.###.#.#.##.###.##...###...#..#..#...#......##..#....###.####.#.###..#..##..#.#.#..##.#...#..#...#.....###.#..####.#..##..#.#.#..###.#..#.#..#..##..##.#.#..#..#.##......#..#.######.....#.###.#..#.##.#.#.##....#.#.#..###.#.....##.###.####.####.###.####......######.###.#.##.###..###..#....##...#...##..###..#.#####..#.####.#.#.######...##...##.###..##..#..#.##..###..##.#...#...#...##.####.####.###.#.#.##....##.#...#.######...##.###...#...................###.#...#.##.##...#.####.########..###.##...........#..#....#.#....####...##.#..#....##...####..#######..#.#.##.#.#...#..##...##.##..#.##.#.##.##.#...#...##...###..##.###..#.#.##.####..##..#.#.#..##......#.##.##.#.#.#####....##..#...#####.#.....##..###...#.##..###.#..##...##...#...##.##.#.##..#.####.####.#.##.....#...##....#..#..#..#.##.##.#.###...#.#.#.#.#..####.#.#..#.##.#...#.#..#####.#.###...#.#..###.#.##....###.##...###..#.######..#.###.###....#..##.#....#.##....#..##..#.#.##...#.....#.#..##...#....##......#.###.......##.........#...##.#....##...#.#.###..#######.###.#.##.####.###.#.#.###.###..#####..##.......#.####.#....###.##.###.###...##...##.#..#.#...#..#.##.#...##.#..##.......##..#....##.###..###....##.#.##.#........##.####.#...##.#.#.##..#.###..##....#.####.#..##..#..##.#.##.##...#....##...##.#.#....##....#####.#..##...##.###.......####.######.#.#.##.###.###...#.####..#..#...#..#...#.#.#
#....#..#.#...##...#..####..#.##.#.#####.####.#.#.#.#.##.#.##.##...#.###.###..##.#####....#.....#.#....#.#.######.#...#...#....#...##.###.##.......##..##.#.....##.###..##....#####.#..#####.#.###.#....#..#.....#.##..#...#.#.#.#######...#..#.#.###.#..#..##.######.#.####..##.#..#..#.##..##.##..#.##.###....#.##.......#..###.#.#...#.#.####..##...#####...#.###.###.#.#.##..########.######.####......#.###.#####.#......#..####.##..##.###.......#..####.####..##..########.#####.#.#.##.#.....#..##.#.#.##..##..#.#..#..####..##...###..#.#..#..#...#.#.#..#......##..#.#.#.###..#.###.####.#..#..####..##....##..#####...####.###.####.#.#.#.#.#..###....#.#####..#.#..##.#.#.#..######.##...###...#.#...#....#....#..#...##.#.##...#.#...#...#..##..#.###.###.#..##................#.#..#.##..##...#.#.#.#####.#####.###...#...#..##....#.#..##.#.####.#......###..#.##.#..##.#..#...##.##..#..#.....#..##....#.#..#..#.####.#.###.####.#...#.##..#####......#..###.#.#.###..##.##.##.#......##....###..##...###.....#.#.##.###.#.#.#..#.#.###..####...###.###............#.#..#...#..###.#.#.#.#...#.##.#.#.#..#.###...##.#..###.##.#.####.###.##....###.###...######.#..####.##...#.......#.#####.#....#....#####.#.##.##.##.###.##.##.....#..####.#.#####..####.#.#..#..###...##.##...#.##.#######.####..###.#..###.##...#..#.#...###...###....#.##...#.##..##..###...##.##..#..#.#.###.##..#.....###.#..............#..#.....###....###...#.##.##.#.#..##..#.###.##.###.####.#...##..#.#.#...#..#....###.#..#.#....##..##.#.#...##..#.#.##..#.#...#.###.##....###..##.#.###.#####...#..###..#####.#####..###..#.#..#..##....###....####.##.........#....##....###.##..##...#..#.##.###.#....#.##..#.#..#####...###...###.#.#.#...#..#.##.##..##.####.##.##..##.#....#....###.##..###.#.#.#.#.#.#...##..##.#..#..###.##...###...#.....####...#.#.#.#..###..###....##.##.######..##.#####..#.####.#.#..#.####..##.##.#.#..##..####..#..##.....####..#.##.#.........###..##....##..#.#.###..#.#....#.####......##......####.###....####..#.####.##..##.#..#.##....###.
####.####....#.#.#...#######.##.#..####...#..###..#...##..####..####.##.###.###....##.#.##.#....##..#######....#.#..###.##.#....##.#.###..#..##.###...######..#..#.###.#..##.#..#.########....##.....#.###..#######...#.#.#.......####.##.###.#...####..####...##..#.##..##..#..###..#......###.###..##....#.......##.###.##..#.##..######.####.###.#.#.###....#..#.......#....##.#####..#.....#..#.#.##......########......#.###..##..###.#.#####...###..####.#.##..#.##......#.#.##.####...#.###.#...#...#....##.#.##.##..#...#...####.####.##.#..#....####.#..##...###.##.....#..#...##.###.#...#####.##.###..#####...#.#.##....##.##...###.#....#.##..###.#.######..#...##.#.##...#.###...#.##.##.###..##..##.#.#.#.##.##.##.#..#.....#...##......#.#...###.#..#.#.###..#...##........#.###.#.....##.##.#####.####.###.#.#.#.#.#.#.#.#..##.#..#..#....####...########.##...##.#...##.......#.#.#....#....#.#...###.####.#.#.#.#.####.##..###.##..#.##.##.#...#..####.#####...##..#.##..#############..#..#.#.#...#.#.####.#..###.#.....#.#.##.#.###.##...###..#.###.#.######..#....##.###.#.#.#.#..#..####...##....#.#.....##.##..#######..#...###..#.....##.###....#.#.##.##..#.#.#..##.#......#.##.#..###.#..####.#..##..#####....##.#.#..#......#.#.##.....#..#..#..#..##.##..#######...####.###.###..#.#.#.#.#...#.#####.#..###..##..#.##.#.#.##...#####...##..#...##.#..#....##.#.###..##.......#.##..#..#####...#.######.##......#..###.##.##..#.#.##.###..#...#..##.##....##.##..#.###..#.#...#.......##.#.#.#.####.#...##..#..#....#.....###.#.#......#####...#.......##.#....##..#.##.#.##.#.....#...##...####..##....#.#####.#..##.##.#.#.#.##..#...####.##.###.#.#.##.###....#..#.#.##...#..###...##..#....#...#..##.#.#.....#..###..##..#.#.#####..#.###..##.###.##...#..##..#.######.#..##.###..##...#.####.###......##.#.#..#.#.##.#..#.#.#...###########...####.#.###.#.###..#.#.##.#...#..####..####....#.#.#....#.#.#....#..###.#..####..####..##..#.##.#####.#..#.##...#....###.#..##..###..#.#..#..####..##...###.#.......#..###...###.#.#....#...##.#.##
##....#..##...##...####.#.#....###..##..###..###.###..#...##..#.#####.##..#.#....##...#.###.....#.#.#.##..##.#...##...##.###.#.##....##....#...#.#...##.#..##.###.####......##..######.......#.####....##..#.#.#.#..#.###.#.#.####....#.####..#.#.##..#...#..###.####..###..###..#..#.######...#..#....##..#..#..##.###..###.#.#...#.#....###..#.###.#..#..##.#.#..##.#...##...#..##.#..#.....#.#..##.#.##....###...##...#.#.##...##.##.##..#.####.####.####..#.#####..##.....#.#....##..#.....#.#.#.#.##.#.###.##...##..##.######.#..#..#.##.##...#....#.##....##....######..#####...#.##.##.#######.####..###..##.....###.#..#..#.....#.########.#......#.##.##.##..#...#.#..#...##..###.##..#.##.#..##.#.###.#.##.#..#.####.###.#.##..##.#..#.#....###.##..#...#...#.####...#..###.##........#..##.#..#.##....#.....##..##.##..##.####.####.##..##.####..##..#####.#####..#..#.#...#..#...##.#.#.##..###.#.....#.#.##..##.....#..#....###....##.##...#.#.#.#.....#..#.##..###....####.....##..##..##.....########.##.#.#.##..#....#.###....#.##.##..###..#..##.#.##...#.#.######.##.#..##.#.....#.##..###...###...###.#.###..####...........##...#.###.###..#....#####..##.#.#.#.##..##..###..#.#.###.##.#...##...##.......#..#...#.#.###.#.##..####.##.#.##...###..###.#...###..##..#.#.####.###...###...#...#...#.....#....#.#########.#.#....####...#.##.#.#.###..###..####.#.....#.....#..###.######...#######...#.#.#...###.###...##########.#.##..####.#.#..##########.....#.#........####.######...###.#..##.#..#....##...#.##.##.#..##.##.#.##....##.##...#.#.#..####.......######.#.##.#..#.##.##.#.##.##..#####.#.#.#.#......#..#.#.##..#...##.##.....###....##....#.#....#.#...##.###.#.######..#...##...#.......##.####..#.####..##.....#.######...#...####.#.###.##.#..#.###.##..#...#####.#....#.##.##..##..###.#.##.##..#.###.##..##..###...####.#...#...###..#.#....#####.......#.#...#.####.#####..##.###..###.##..##.#.#.#.##...##.####.#.###.#..##.#..#...###.#######..#..##..####.##.##..#..##..##.##..#.#.###.####..##.##..####.#..##..####..#####.#.##.
.....###........#......#.##....####....#.##..####.##...#.###.#....###.#.#...###.##..........#.##..#..#####....#.###.#.#.#.#......#..#.##.#.###.##....#.#.#..##.#..##.##.#####.....#.##..###.#.####.####.##.#.#.##.#####.#..##...#.###########..##.#...#.##...###.####..##...#.#........##.##.#####..##...#.........######.#.#..##.##.#.#...#.##.##..#...##...#...##...#....#.###...#..#.#....#####..#......#...#.##...##..#......##.#....##.###.#.#####..##..##.#...##....###...#...#.###.#.#.#.#....##..#.###..###.###.#....#.##..#####.##.###...#...#.##...#.#....###...###....###.#####..#.#.#.....########...##.#.#.##.###......#####..##.#######.#.......#..##.....#..###..##.#.#.#.##......#..#..#.##.###...#......##.#..##...##....##.###.#..######....#.###.#.##.#.#####.###.##.####.#.##...####.###..#.#####..#..#..#.#..####.#..#.##.......#..#.#.##.#.#..#........##..#.#.#.##.######.#.########......#..###...#.#..##..##..####..##.#.###.###.##.........###..###.##....#..#.##.#...#.#..#..#..##.#.##.#..#######.#...#...#.###.##....#....#...#.#...#..#...##.#.#.#.....#..##.......#..##....##.#..###.###.#..#...#####..#.#.########.##.#...##.#..#.#....###..##.#.##..#.###..#..###..###.#..###..##..###....###...#..#..#..#..##..#..###...##..##.#.#.##..##.#.#.#..#####.###.###.#.##.##...##.###.#...#.##...#...########.....#..#..#.#.#.#....##.#.#...##.#....#.#...####.#.#.#...#....#.#.#....##.####..#..#.#.#..##.#..#...####.#....#...#.#..#.##......##.....#.#.#.##..#..#.######.......#.....##..##.....#.###..#..#....##.##.#.#####.....#.#.#.##.#..###..#.#...#.#..#..######........##.#.##...##.#..##..#.##...#######..#...#..####.....#...#.#..##....#.....##..#.###.##..#.##...#.#.#..#..##.#....##..###..#..##...#.####.#..##.####.#.#..#.##...#.##....###..#....####.####...#.##..###.#.##.#.#.##..#...#..#.####.#..#.#...#..##.##.##.#.##..#.#...#.##.#...#####..#.#.###....#..#.#.....##.##.........#..#.###..##..##.######.##..#...##.##.###.#...##..#####..#....#.#..#####.##.#...###.##.#.#.##.#..#..#..##.#....##.#.#.#..#.........#.####.##
####.##.#.##..##.####.##.#..####...###...#.#..#....#.....#..#..##.#.#.###.###......#..##...#####..#.####..#...##.#.......##.#.###..#..###..###.#...##...#.##.#..##.#..#.##.######....##.#.##..#.....####..#...###.#.....#.##..#..#.###.#...##.###....##.##..#.##...###...##....#.#..#..##.#.##.##.###.##.#.##.#.##.##.#.####..#...#.###.#...#..#....###.##.##...##..#...#.#..#.##.######.##....#..###.###..##..#####.#......#.##.###.#.#.###.#.#...#..###.#.#.###..#####.##.##...###.#..##..#...#.###..##...##..#.##..#.#...#..#.#......#...##.##.##..#.#.....#...#.#.#.#.#.#.#.###..#####..##.##.#########..###.#..###.##.#...#.###..#..###......#.####..#..####..####.##.....##..######..#.#..#.###.#.#..###..##.#...#.##.#..###.##.###...##.#####.#..#..####..##..#.#..##..#.#..###.#...########.#.#..#....##..#######.#..#..####..##..#..#...####.#.#.#..#.###.##..#..####.##.###......##.##.#......#.....#..#.#..#..#.#.#...#..#...##..#.##..##..#....###..#..#####.#####.....#..##.#.####..###.#.#..#....#..#.#.#.#..#.###.###....###......#####.#########..######.##.#..#..#.##.....###..#..#..#.##......#..#####..#....#...####...#..####.....##...#.##..##..#..##.##.#.####...##..####..#.#...###....#.###.###..#.#..####.######..#.#..###.#.#.#..#......#...#..###...###.......#....####.#.#.........##.#...###..#...#...######.#.####....###..##.##.#.#.....####.####.#...##.##.##..####..#..##.#.#.#.#.#..#.#..#.#.######.###...#...###.##..#.#...##.....#.#...###.##..##.#.#.##...####..#....#...######.######.###..#..###..#######...#.#...##...#.##..#..#.#..##...#..#.#####.##..##..#.##..##.#.##.#.#.##..#..##..#..########..#.#.#..##....######.###..##.#####.######.##.####..####.#....#..###...##..#.##.#.####....##.#.#.##..##...##.#.##.#..#.####.###...#.#...##..####..##.#..#####.#..##...##....##..#.#...####.##.#####..#.#..######.#.##.##.#....#..####.##.#.#..#.##...#..#..#.#..#..#.###.##.#.#.##.#.###.#..######....###..####.##.##.#.#....#.#.##.###.####...##.####..#..#.###...##.#.#.###.####.###.#.##.##.#...#.####...##..#.....####.##..#.#.#
.#.##....##.##.#.###..#.##.#####..#..#...#..#..##.....#......###..#..###....#.###..#....#.#...####.#.##.#.#####..###.#..#.....#..##.#####.#....#####..##.##..##.....#.###.#.#..#..#....##..#.#####...#...#.#..#....####.##....#####....##.#...#..#.#.####.#...###.##.###.#..#...#.#..#.#..####.#..#.#.##.##...###..##..##....#...#..#.#..##.....#.#.#.#.######.#######...#......###.#.#..###..#.#####.......#.#..##.#.#..##.##.#..##..##.#..#..##.#.#..##.##.##..#.....#...####.###..#...###..###...###.....##..##.#.#..#####...#.####.#.##.###.#.#.#.###...#.###...#########.###.#.##..#.##....#.#####...#..#..####..##......#..#...##..#..###....##...#.##.#.#.##..##.#...##...#####..##.##..##...###..###...#.#.#...##.#..#######.#######.#..#..#.###....#........##..##....#....#...#...#.#.##.#.....##.#.....#..###..#########..#.##.......###..#...###.###.....##.######..#..###..#####.##..#.###.#.......#.#########.#######......#.#####....#.#..#.#.#.#......##..##.###.....#...###..#.##.#......##.#####....###.##.##.####..##.###....#...#..##......#.##.#.#...#.###.#..#.####.##..#..#..##....####.#...##..###..##.......#.#####..####.#...#...#.###...##.........#.#.##........####.#.####.#.#..#.###....####....##......##...#.#..##.#.#....#.####..#..#...#..###.##.....##...#.#...........#..###.#.########....#.###...##.###...###...####.##.#..#...####...#..#.#.####.####..#.######..#.##..#...#.#....###.#######..###.#######.####..####..#.###..#..#..##.##############..#..#..##....##...##.##.#....###.##########...#.#.###.######..#.#...##..######....###......#.##...#..##.#.........##.#.#..##...###..##....##.##..##..#.#..#####..#......###.#..#.###........##...#.####.##....#...#..##....###.###.###.###.####.#.#.....##.#..####..#....#.#....###..##..####......#.##...##..#.#....#..##.#...#...#...#...###.##...#.#####.#.##...###.#.##...###.##.#..##..##..#.#.#.#.#...#..###.#.###...#..#.#...##.#.....#...#....#.##..##.#.#..#.###..######.##..##..##....###..###..###..##..#.##..###....#.#.#.....##...####...#..##....#.######.#.#.#...#..
.#.#..##.#.##.#.#.##.##.#.....#..####..#..##.######..#####.#..###.....##..#.###......######...###...###.###..#.#.......#..###...##....##.#..##..######....###...####....#.##.##.#.#....##..##...#..#..##.#.#..####.###.#.#.###..#.#..####..##.#....#.##.#.#...#.#..##...#.#..#.#.#.####.#.....####..#.##.....##.##.###..#...###..##...#.##.#..#.##..##.#...##..##..#....###.#.##.#.....#.....##########.###....##..#########..#..#...####.#......##..#.###...###.#.###...#..####.##...#..#...##..##...#.###....##.##.#..##.#.##..#..#......##.#####..#..#.#.#..#..#.##........###..##...##...##.##.#####.#..###...#.##..#.#..#....#.#..#.###.....#.##..#.#####.#########....##..#.#..##.#.#.#..######.#.##..#.#..##.#....#.#.#..#.####.###..#.#.##..#.###..#.##......#..#.###.##..##.#..##...###.#.##....####.#..###..#..#####..#.######.###.##..#.#....###.#.##..##.##..#.####..###..#...#######....#....#.#.####..##..#.####....##..#.#####....#..###.....#####.##.....#..##.#.###..#.###....##..##..#.####.......##.....#.#...###....#..##...#...##..#.####...#.#....##.......#..###..#.........#..#..####....##.##..#.##..#########.#.#.##.#####.##.###.#..#.#...##..###.###.....##.##.##..#####......#.#...#.###.######.##..##..##...#.#..........#...#.#.####.###...#.####...##...##.#.##...##.#######.##.....#....#.##.##...#....##....#.####.#..##...##..##.###.##..##....#.#.##.#.##..##..##..#.###.#.##.....#...#.#.##....#.##..#..#.##.#.####.#.#....#.##.###.#..###..#..###.#.#.##...####......###..##.#...##.##..#..###....###.#.#.#.#...#...#.#.#.##.####.#....###...#...##....##.#####..#..#..##...##.##.#.#.#.#.#...#.##..#.....#..#.###...#...#...#####..#.##.######.#....#.....#.#.#......##.##.###..#....#..#...#.######...#.#....##..#...#.#.##.####.##......#...###.#...#..#....#####.....#.#.##...#......##..###.###...###........##.##.#..#####..###..###.#..#.#....#.###.###...##.#.#...##..#..#.#.##########.###..###.###.##.#.#.#....#..##...########..##.#.##########.###.##.....###......#.#####..#.#####.#.##..###.##.##....##.###..##.#####.######
........##..###..#.#.#..####..#.#####....#...#.#..##..##.#...####.##..####..##.##.#.#.#.##....#..##.##....#.##.##...#.###.#.#...##...#.#.###.#..##..######...#.#####...######..#.#....##.....#.#.#.###.##.....#..###.#..###.#..##.#####.#.#....######...#.#.#...#..###..#.##..##....#..#..#...#....###....##...#...#####..######.#.#.#.#.###..#.###.##.###..#.##.###......#####.#..###..########....#.####.#...#..#.#.##.#.###...#.#.#.#.##.#.#.##.#.....#####.#..##...#.###...###..###..##..#.......###.##.#.##..###......####..###...#.#..#..##..#..#...#.###.########.#.#######..##.##.#...#...#..##.###.###...#..##..#..#.#.#.....#.#..#.#...####.#..#.#.#....#....#...#.#.#.####..#.#.##.#.###.#....#..#...#..#..#####.##.##.....##.###.####.###.#......##.##...##.###....#.#.##..##.###..##.##.#.#...##....##..#...#.#..###.#.#....###....#...######..####...#..#.###..#.###..#.####.###...#.#######..###.#.#..###.#...###..#.##..#.....#..#...##..#..####.##.#.###.##.#.#.###...###.####.##.#.#.....##.##.####..#..##..#.##.#######...#.#.##..##..#.#..##..##.#.##..##.##...#....###..##...#.####.....##.#..#.#.....#.#####.#..####..##....####.....###..#..###...#...#..###.#.###.##..##.#..#..###....##.##..#....##.....###...##.#.#.#.#.##...###...######.#..###.#....#.....#..###...#....###....####.#.....##..#.#....#.####......#.#.###.###.##.##....#####.#.#..#.###..####.##.##..##..#...#.#.#..#.#...###.###.####.#...#.##.#.#...#..##...####.#.##.#.....##..###.######..######...#.#..##.##.###.#.####.#....##..#.####.###..##..#.#..###.#..#.#.....##.#.###...##....###...#.#..###.#......#.#.....####......#..#.#.##.#.#.###...#.#..##..#...#.#..##.#.#..#.###.#......#..###....###...###..#.#...#.#.#.#..#.##.#.#.#.##.#.##..##.#.#..##......####.#.#.#...##.###..#####.######...##..#..#####..#.#.###...#.##.#..##.#.#..######...#..#..#..##...#.....#..#...#.....#....#.#..#..##.##.#...#..#.....###.#####.####.#...#.#######.###.####.#..###.##.##...#....#..####.#..#....#...#..#.#....###.##.###.#.....#....##.###.##.##.#.#..##...##..##..###.##...#.#
#..#.##.#######..#.#.##..####.##.....###.##.######.##.#.#.#...###..#.##.#...###.###.##.##.##...##..####..##.#..#.....##.#.#.#..##..#.##....###..#.##..##.#...#####.#..##..##.#.#.#...##.###.##...#.###.#####......##.###..#.###.#..#....#####..###...#...####.####..##..#...####.#.##.##..#..#.#.#...###..#...######..###.##.##...#..##........#...#######.##...#.#.###..####..#..#.##.##...#...#.##.....#.#...#.#.#.#.##....#....#..##.###..##.##....#.#...##.#...##...########.#..#.#..###..#...##.#.##.#...#.###..###.#####.##..#..#..#....#.#...###.#..##..#.##.####.#.#.##...#..##.#.....#.##.#.#.#..###.###.##..#.###....####.#####.##.####...##.#####.###..#..##......###..#....###.#.##.#...###.#######.#...#...#..##.#.#.#..###.###..###..####..#.......##.#..##.###.###.#.#.#..#...#.##..#..###.##.##.#.#....##.#..##.##.##..##....#...#....##..#...##..#####.##.#.###.#...##.###..#.###.#.#.#.##..#...#...#..##.#.#.###.#..#.##...#.#.####....#.#.#.#.##..#..#####..##..#.###....##.#..#.########..###.#..........####.#####.##.#..##.##.#.#######..#####..#...##...##.#.#..##.#......#.##..###..##.###...##...##.#..##....###.#......##..#........#..#####..#...##....#.#.#..#.#..###..#.###....###.#....##...#.#.#..###.#..###.###..#.#..#.####.#..###..##.#...###.####...........#.....###.##.##.###.#.###.##.#.#####...##.##...##.##..##.#.#..#..#..#.##.##.##..#####.#.###.##.###.####.####..#..########..##...###..###.###...###.#.##.###..#.#...###.#.##.#.##..##...###########....#####..##.....#.##..#.#..#..#.###......#...#######.#.#.###.#...###.####.#......###.#.##.##.##.#.###.#.#.#.#.#....#.#...##.#..#.###...#.#.#.###......##.#.####.#.###.#...#.#..######..#.###....#.###.#..##...#.##..####..#..#.##.##.#.####.#####..#.#.##.#.#..#..#...#.###.#.#..####.###.#..#.....#..##..###....#....##.#.##.##...###...#.#.##.#####....#.#..##....##.###.######.##.##...###.###.##..##.#......#.....###.#...##.#..#.......###..###..........#.#.####.#..#.....##.#..#..#.#..##..###..###.#.#.##..........#.##..#..##.......#.#....##.#.####.#.#.###..#..#.#
#.#.##.#.###......##...#######.#..##.#..#.##......#....##..#....#.##..#..#.#.#..####.##...##########.....#.##...##.###.#.#.#.#####....###.##..#.##..#..#....###.###.##.#####.##...##.####..###.#..###.###..#..##..#.##.#...###..#.#..###.###...#.#.....#...#...##..#..#.##.##.##..#.#.#.#...#...#####..##.....##.#..###....#.#.####.#.#..###.....#.##..##.###..#..#..#.####..###..#...###...#.###.##.#..##.#..###...###....#..#..###.##.#..#.##.##.####...#.##..###...####..#..####.#.#.....##..#..#####..#..##.#..##.###.##....#.#.##.#.#####...#.#..###.#.#.######.###.###.##...##..##.###.##..#.......#.###....#..#..#.##....##.#.######.#..###.#.###.#...#.##.#.###..#.#..#.####..##.#.##...########.#.#.##....#..#...###....#.###.#####.##..##....#..#.###..##.###.#.#.#.#....#..##..##.....#.##..##.#...#...###.......###.###.######.##...###.##.####..##..#........#.##.##.#.#####...##..#.##..#.#.#..##..#..#.#.#...#....#..#.#.#..###.###..########.#.....#...##.###...###...####..#.#....#....#..##.#.##..#.#.####.#.##.#.#.###.###....#.#....#...###..##...##..#.##..#.#....##..####.#.#...##...###.##.###.....#..#....#......#.##.#.##...###..#..#.#.#...#.#.....#..##..##.#...###..##.#...#...#...#.##.####.#..###.##.###.#..#.#.#..#..#.#.####...#.#.#.#.#..#....####....#..#........##.###.##..###.#.##...##.....###.#.#..#.#...###.##..##...#..###.#.##.##..#.#...#.#####..#.#.#.....#.#.###..####..#.#...##..##.#.....#.....##..#.#..####.#.###...##..##.##..#..###.##.##.#.####.#.##...#....##.##.##.####.#.#..#.####..#.#...###..#.##...#.#.#..#.####...#####.....#########.#.#.##.##.#########..###.#..###.###.##..#..#####...#.....#...#####..####.#.#..#.######.##.#.##....##...#.##.#.#.##.##.#...###.#.#.#.##..####.#..#..#####.#..###.####.####.#.#.......##...##.##.#.#######.......##....##.#.###.##...#.#.#....#.#.####..###..##..##......#.####.###....#....#.###.##.#..#..#..#.##.#....###.###....#########..#..#####..#.#.#####.###....##..##.##.###..####..#######..###.#.###.......##..##.#....##.........#.#..##.....##.#.......##...###.##.##
##.#..#.##..##.##....#..##.#.##......###...##.#..####......#..#.#.###..#####....#..#..###.#..####.#.#.#.......##....##..#.#.###.##.##..##..###......#..##.####..#.##..#.#...#.###.###.##..##..#..#.#.#.###..##.#..####....##..#..###.....###.#.#.#####.##..#.###.......#..#.#..##...##..#....###...#..####...##.##....#############.#.###..#..#.#..#.##....#.#....#..##.#...####.#...#...#.##.#...#....#...#.#.###..##..#.#.....##....####.###...####...#####..##.##.#####.#..#.....##.#.##.....#..#....#....#.#.##..#.#.#...#..##.#...........##.##.#.....#######.##...##.####...#.##..#.##...#.##..#...#.#...#...##..##.#.#..#....###..#....####..#..#.......#.....#.####.#..#......#.##.####.##.######..##...#.#..#####..#..###..##.........##..#..##..#...##...####....#.....#.###..#..##..#.#.#......####.#.#####.#.#..###.##..#######.....#.#.#.#..###...#.#.##...###...#.#..#.#.#.#.#..#.##.###..##...#...##...#...#.#...#.....#.#..##..##.#...###.##..##...##.##.....#...#.##...#####..#.##.#.#....#####.#...##########.#....#..#..#.##.######.#..#....#..####.....#.####..####..##...###......##..#####...#..##.####.#....#......##.###..##.##.###..#....#.##...#######.#.####.####.###....##.#..#.##.#.###.#....###..#.#..####...#.##..##..###....#....##......#..##.#####..#.##.....##..###..###..##.#..#.#....####.####.#..####.......####.#.....#.##..##..####.#...#.##..#...#....##...###..#.......#######.#.#.#..##########.......#..##..#....###.##...###.#..##..##.##..#.....#.############.#.#...##.#.##..#..##....####..###...#.##.###...#.....##.##...#...#..##.#...##..##.###..##...#####.#.###...####...###.####.#...#..#.###.##.##.###.##.##..##.##.#...####.#.#.#....#.###..###.#.#..##.#.#..#####..#...#..#.####..#...#.#...##.....#.#.#..###.####..#.#.#.#..#####.#.###.##.###.#..#....###....###.##.#...#.##.#####.#.##....#####.#..#..#....#.#....#####.###...##.#.#..##..#.##..#...#..#.#..##.##...#.#.#..#..##..##.#....#...#######.#....###.#..#....#.##.....#...##.########...######.....##..###.#.###....##.####.#.#.......###.....#.#...##.###
##.##.#.####.##...#.#....##.##..#####.##.#.###..###.....##.#.###...#.#.##.#..###.###.##.#.###.#..#...#.#..##.......###..#...#..#....##....#.##....##.#.#.##.#.#.#.######.#####..#.....#.#...#..#......####.####...##.#.#####...#.###..#.##...##.####.####.#.##....#.#.##..##..#########.######..#.#..#.#...###.##.####.#.##.....##..#..###....#.###...#....#.##.#.#..###..#..#.#..###..#..####...###.###....#.#####....#..###....#.#..#..##....###....#..##.....#.##.#####...#.#......##.###.###....#..#.#........#..#.###...#.##.#.#.......#.#....#.####.....#...##..##.####...###.#.#...###..#..#...##.#.#.#.##..#......##.##.#.#..####..#.###....##..##...##.###...###.#.#...#..###.####.#.#...##..#....####...#.##.#...#...#........#.#.##.#.#.#.#.##....##...##.##########.##....#..##.##..####.#..#..#####.##.##.####.#####.#..#.###.######.###.#....###.#....###....#.####.##...#.##..#.#.####..#..########....####.#..##..#.#..##.#.######.##..##.###..####..#..#..#.#..#...#....##..#..##.#..#.####...#....##.##.##.#...#.#...#.#.##.##.###.#.##..###...###..###...###..###..###....##..##.##.#.##.#.#.#####.##....#....#.##.##.#######....####....#.#.#..#...###.###..##.#..##.#.#.###.#####..######..##.#.###..#..##.##.###..##.##.####.##.#.#..#.#...#..#...####.#.....#.###..###.#...##.#.###..##..###.#..#....#....#.#####....#.##################.#####.###.#.###.###..#.##.....#.####.##..#.#....#.##.#.#...#...#####..###...#.#.##.##...#...#....#.##.#..#..#.##.#...####....######.#...#.#.##...##....#.#...##..#...#..##..###..#...#.#.#####.##.#..####.#.##.##.#..#...##.#.##.##..##.###..#.#..........#.....#..##....#.....######..#....####.##.##.#..###.#.#.##...##.##.#######.#.#.##.##..####..##......##.#..##.#.#...##..#.##...##.#####..#.##.#..#.#.###..##..######.##..#..###......#.#.####..##.#........####.###...##.###....#.###.#.....#....##.#.#.#..#.########.#...#..#.##.#.###.###..###...##.#.#.##...#####.##..#..#.#.###.....##...#...#...#.#.......##.#.#.##.####.##..######..#.#..########.#.....##.#.##....#.#...##.###.#.###.#..###.#.#
......#.##...#..####.#####.##..#..#..###......####.#.##...##..###.#..##.##..#.####..##.#.#####.##...##..###.#..#.#.##.#..#..##.##.#.#..###.##.##.######.#.#....##....#.##.#.#.#####...##.#..#..#.#.##.##..#...#.#...#.#..###...##..#.#.#....#.####..#.###..#.#.##.#.##..#..#....#.##.#####..#####.#...##..##.##.....###.#..#####.....###..####.##.##..#.#.####.##....#...###..#.#...#.....#.#...#.#...####.##..#.##..##..##....##.###.##....##..#.##.#..#.#.#..##.........#....##.#......#..#..#.#########.#.##.#..#..#....##.#########..####.#..##..#..#.##.##.#.####..#..##.##...#.....##...#.###....#.#.#.#.....#.##..#####.##.....#.####.###.#....#..###..#..#.###.#..........#..#####.###.#...#.###.#.#...##...###.#..###..#####.###....#####.#....##...#.#.##...#..#..#.######..##.#####..#.#........####...##..##..##...###.###..##.#.##..###.#......##.##...#.....###.###.#.##..#######.#.####..##.#..#.###..#.#.#.#.####..#..##..#.#.##.###..#####.##..##.##.####...#.#......##..#...#.#....##...#..#.##...#.#..##.#..##.##.#####..#...#..#.###.#####..##.##.###.#####..##.....#..#.#######...######..#..#..###.###.......#.#.##......###......#..#....#..#....##.#####.##..#.#...###.#...#.##...##.###.....##.##.##....###.....#.##..#.#.##......##.#..#.#.#.#.##.###....####.###.#...#.###...#..###.##.###.#....##.......#.####.###...#.##.####...#.#.##..#.#.#.###.....#..#..###.###..####.##.###.##.#...#.###..##.#...##..#..####.....#....###.##...####.#..###.#...#...#.#.####..###.##.###....##.#.#..#.##.##...######.##..#.#.##.##.###.#......#..###.....#..###.###..#..#.####..#.#..#...#.#..###.###.##.#.#..#..#.###.#.##.....#.#.#.###..#.##.###..#.#..###.##...#...#..#...#.#.#.####.##...###..##...#.....#.#..#.#...#.#....###..#.#..##..##.#.....#########.#..#..##.####..####.####..#####...#...###.#..##.#.##.##...#..#..#...#.#.####..###...#.#..##..#..#.###...###.##.#...##.##.#.#####.##.##..##......##..##.##..#.####.#..####....#..#.###.##.##...##.####..#.#..##....###..##.####.##..##....###.##.#..####..###..#.#..#.#....###...#.##.#.#######
#..##..##.....##.#.##.#.#....#........#..#...#.##.##.#...##.###.##...#.....#...#.#.##.#####.#.#.##.######.###.#.##.#.###..#.##.#.####.#.###.....###.###.#..####..##..##.#.##..#.##.#.....#.#..#...##.#.#.#####..#.#.####...###..###.#..#.#.###..###.##....###...##.#..#.#.#.#..#...##.#.....##..####..######..#...#.#..######.##...##..###.#.#..##.#.#######..#.#.##.#.#####.##.##.##.#.##.##.#.####..#...#.###.#..#...#..##.###.#.###......##.#.###.#..#.#..###.#.......#.#.#..#..###.#####.##..#...#####.##.#.#......#.###..######.##..#####...###.#.#...#.#.##......###...#.###..#..#....##.#..#######.#.#..#.#.######.#..#...##.##.#####..#...###.##.######.##.##.###.#...###..###.#####.#.######..##.##.##.###..#####.#.##.#.#..####.###..######.###.#.#.#.#.#...#.###.####......###..#.##..#..####.#.##.....##..##..#..###.###..#..##.##.##..#.##........###.#.##.#.##..#..........####....#...#.#.#....#..#.#..##.##..#.#.#.....#.###...#...#.#.###.#.#.####.#...#...........#..#####..#...#......###..##.#.####..##.#..#..###.#####...#..#...##..#...#######.#.##...#.##.#..####.######...###...###.#.#####...##.###.#.##...#####.#.#....####.#...##########.#######...#.###....##.###.#.#....#####......###.....#...##..#..#....#........#.##.###..##...#...##.....##.#.####....#.#..#.###..#..#...##..#..##.##.######.#...##.#.##.#...##....#####..###....##.#.####...#####.....###.#.##...#...#...###########.#.#....#.....#..##.....##.#...####....#.##.##..#..#...##...##.##....#..####.#..#.##..###...#.#.#.#.###...#..###.######..###.#.#.#...#..#.#...##.###..#....#..###.#...##..#.#..#.##..#..#....#.#..##..#...........##..#.###...##########..##.#.#..###.###########..####.#.#..##.#...#######.##..##..###..#.....##.....###.#....#..##....##.#..#.##.##.###.#....##.#..#.#####.#..###...#...###.......#..##.##..#...#.######...#..#.....####.####....#.......####..##.###......##..#..######..#.##....#..#..#.#.#.###......###.#.#....##..#.##.#...##.######..#.##..#.##...##..#....#.#..######...#..###.####.#.#....#######..#...###..##.##.........###.#
###.......#....####..####..####.......#.#.####...##...#.....#.#...###.####.#.###.#.#####...#.####.#.#.####.....#.###.#..#.###.#...##.##.##....#...#..#.###...#..##..#.###.....#...#.#.##..#..#.#.......#.#.....##.#..#...###..####.########.#.#.##..######..##.#.#.##....##..#..##.###.#.###...##.###.#..#.#.#..#..#..#....#.#..#..#..#..##.###.#.##..#...#.##.##..#...####.#...##.###...##...##..##.#.###.#.#..######.##.......#.#.##.#..##..##.##.#...##..##.#...##.#..####..##..##.######...#.#.##..#..##.####..#......###.##.#..#.#.#..#.##.#####.......####..###.##.######..##.#.#...#.#...####....#######...####.#.#..##..#.#...###.##.#####.####..#..#.#.#.##..#.#..##..####...#....#...#######...#.###.##...##...#.######..#..####...#.#...#..##.......##....#.#..#####.#.##.#.#.###.#..#...###.#.#..#.#.#.#..#.#..###..#.#.##########...####.#.#..##..#..#..#..##.....#.##.#.##..#...##..#...#.###.#......#.###..#..##.#.#.#..##...##.##....##.####....##..##.##.#.#.######.#.#######....####.##...#.#.#.#..#.###..#...#####.....###.#.#..##...#..##.###..#....##...#####..#..#...##..####..##..###....#...###.####.##..####.###.#.#.....##...#..###...#.##.#..###...###.###....#.....#....##.#####.#.####.#...###..#..#..####.##.###..#####..#.............#######..#.#....#..#....###..##.##..#.##.##........###...##....##.#.#...###.#...#...#.##....#.#.#..#..###.#...##.##..##.#.#.#..######....######....#####.#.#..#....#.##.#.##..##.#..#....##.##.#.#.####.##.##.###.#.##.#...#..#.#.######.##..###.##.##.#.##.##.#..#..#..#..#..#.##.###.####....#....#.#...#..##..#...###.###.....#.#.#.######.###..##..#.##.#..#.#....#.###..###.##.##..#...##...#.###.......#......#.......##...#####...####.#..#.#..##.#..#####.##.#.#.##.##...###.#....#...#.#.#...##.#.##..#.#....###.####...#####.#..######.##..#####.##.#.....###.#.#.##....#.####..####.##.#..##...#.#..##.#...#..##.##.#.####.....#..##.########.####.#.##.#..#...#####.##..#.#..###.##...#.###.##.#.##.##.#..##.#######...###..#...###...#....##.###.#....#.#.###.#...###..#####.#...#.###.#.....#
##..#.####......#.#..###.#....#...#.#.....###...##...#.###..#..#..##.##.#.#...##.#..#.#####.###.####.#.####..##.#..#..#.#..####....#..#..##.##.###.###.#.....##...#.#.#.#....##..#.###..#.##.#.#.###..##.#.#.##.##.##.#.####....######..##.#.###.##..................##.#..#...###.#####.#######.##..###..##.#.##.#..##..#...##.##.#.##..##...#..##.#.#.#.###.#........##.#.#....######..###.#.....#.####.##.#.##.#.#.##.###.....#..#.##.#..#.....#..#...##.#.####......#..##...#..#.#.####..#..#...###.##.#.#...#...#########..##..#.#....#.#.#.#....#..##..........##.#.#..#........####..###.#####..#.###.#.##...#..#..####..###....##.##....###.##..#...#..##..##..##.###...#..####.#...###....###.#..##.#.##.##.....###..##.##..#.#.###.#.#.##...##....#.####.##..##.###.#.###.#.##.##...##...###.##.#.###...####.##.#...##.#.####..##..#.....####...#.#.##..###.###.#...#.#..#.###..###...####...####.##.##..#.######.###.###...###.#..#.##..#.##.###....#######.###.###.##.#.#..#.###.###..#..#..##..##...#..###.#..###.#.#.###..#.....#.##..######.#...###...##.##.##.##.##..##.#.#.###.....##.#..###...####.#.#..##.#...#......#.#...##..#..#####....##.##.....#.#.#.#..#...##..####..##.#.#.#...####..#...#...#...####...###.#.###.#...#.#..#.#..#.#..##....###.#..#.#####.##..##.#.#...###.##.#..###..#..#.###..#.....#.###....##.###....#.#..#.#...##.#..###..#.#.##..##.#.#..#.##.#...##.....#.#.##..#.###......#.#..######..#.#.#...####.##.##..###.#....#...#.##.....#..##.##.......##.#..#..#...##..#.#.##.#....#..#..##...##.##.#.##...##..#.#....###.#.#..####....#.#.#.#.#.##.##.#...######.###.##.###.#...#.##.....#.###.####.#.##..#....##.....#..#...#.#.#.....#.####....##.###..####..###.#####..##.##..##..#.#..#..####.#..#...##...##..#.#.#.#.#.#..#.#.#...#..#.##.....###..##..#.###.##...#......#.........#.....########...##.#.....##.##..#..###...###..#....##.###...#.#...#.#.##....#.#.#.#####.#.#...#.##.#####..###.##...#.###.##.#...#.####...#.####.#..####.....##.#..####.#####.##...#..###.##.###.##...#.####..##.##...#.#..####.#...##...#
.#.#.##.##...#..#....#..##...#####.#....#...#.#....##.#.##.#.##.#.##.#.##.....#.##.##...##...#.##....##..#..#.#.######.####.#...##...#....#.#...#########.#..##.#..###.#..##.......#...##########.######.##.#.#.#.#.#....#.#...#...##..##.##.#...##.#.###..#..##.#.##...#####.##..##....#.###...#..#..#.#..#....####..#..#..#...#.#.##...##....#...##..##.....####..#..##.###..........#..######.#.#...#....#..#.##.....####.##.#.....#....#.##..#.#.#.#...##....##..#..##.#######.#####.#......#.......##..#.#.##.##.#.##.###.....#..#############..#.#.#..#.##..#..#.##...##.#.#.#.###..###.##.#..##..#...###...#......#....#..##...##...##..#.#####.###.##..##..###.#.#.###....##.#.....##.#.#.#.....#....#.##...####.....###.#..#...##...##.##..##.#..###..#.##.#.###.....##...#....#.##.#..###.#.###.#....#....##..#.#.#.########.##.######..#####...#.#.###.##....#...#.....#.#..####.##.#...#.#...#.#..#.....###..####.##.###..#.#.#..#...#.##.#...#..###..##.#.##.###.##.#..##.#..#.##..###...###.#..#.#.#...#.#.#.........#...#.....#.........###..#....###..##..####.#..#..#.#.#..##.###..##.###...##..####....##..#.###...#..#.##...#.#.#.#.##....#.##.#.#...###....#..##.####......##...#..####..#.#..##..#.#...#..##...#.##.###..#.##.#####.....###.#.#..##########...##.####.#...###.#..###..####.#....#......##.#.#..##...##..##.#..####.###.....###.###..###..##.##.#..#....#..#..##.#.###.#...##..#...#..#####..##..####...##.#####...###.##..#..##.#...###..####..#.##.##.##.##.....####.###......####.#..####.##.##.###..##..#.####.##.#..#.###..######.#.#...#.#####....##..#.###..#.#..#.##..##.#######.....##..#####.##.#.####.#....#.####.#.....####...##.###..##.##.##..##...###.#..##......#....#.#.###.#..##..#.#....#.#...#..##.#.....##.#.##.#.#.##..###...##...###.##....##..........##.#######.#.#.....#..#...####..#.##...#.##.#####......#..###..#####.#.###..#.#.#...#...##.....#.#.####.###...#####..###.##..##.##..#...##.#.#.##...####....##.##...##.#..#..#.#.#####..#..#.##....##.##.#..#..#.###....###..#.##...########.#.#.#.##.##..#..#
..####....##...#.###.....##.....####..##..###..#.##.#.#.#.##..#..##...#.##...##.###...#.#####.#...###..######....###..###.####.##.####....##.#..##..###.##.#.##..###.......##.....##.#..#.#....#.##..#.#######..##.#.#.#...######.......##.#.####.##..#..###....##..#..##....#....###.....######..#..#...##.######.......##..#.######.######.##.######.###.....##.###.#..#...###.#.#.###..##.###.##.#......#.#..#.#...#.#####..#...#.#..#.#.#..#.####.##.##..#..########.####...##.#.#..#..#.#...###..##.##.##.....##...###...##.######.##.....#..#..#.#.###..##....#....#.######.#...##.#.####.#..#.#....##.#.#.####..###.####.#...###..###..###....#..##..##...##.###.##.#..#.#....#.#.##.#####..#...##.##.#...#.##..####.....#####.###...####...##.##.#.###.##...##...##.#..#.#..##..#.#...#....##..##..##...#..#.####..#.#..#.#..##.##..###....###..#.#...###..#..##..####..#.#........###.##..#.....##.#..####..#.........#..#..#..#.#.###.#.##......#..#####..#.#...##..####.#..#..#.##.###.#.###.##..##.#.##.##.#..##...#...###..........#...#.#####.....#....###.#.###.###.###...####.#.##..######......##..#...#..###...#.##.#....##...##...##..##.##..####..##.#######...#....#.##....#..##....###.##...##.....#....###..#.#######.##....#.#..##.##.....###..####..#...#.....#.##.##..####.###..####.###..#...#...#####..#.#..##.####..##.#.##.##..#.##...##..#.#.#..#.#......##....#####..#.###.#.###....#.#..#.#...#.#.#.#.#.#.#......#.#....#..#.##..#.#.#...#..#####.....###..#.#####.###.#....#.###..##.##.#..####..#.###..#..#.#....#.#..##.###....###..####.....##.#.#.....#.###..####.#.........#..##.....#.#.###..............##..#...##.##.....#......#....#......###.###.#.#....#........#####.##....#..#..#..#..#..####.#.####.####...#.....#.###.#..#...########.#.#####...###.....##.###.###.##.##.#.#.#.....#...##.###.##........#..#..#.##.#..#..###.####.###.##.####..#...##.#.#....#.#...##.####..##..##.....##.##..##...#...#.##.##..#..###.#..#..##.#.#.....##.####...##.#..#####.###.#....###..#...#...#.##..##.....##.#.#####.#..##.##...######.
#.....#.##.#....#####..#.####...##.##.#...#.#..#....#.#.#.#..#.##.##....#.##..#...###..###.#..#.###..#.#.##..##..#..#####..#.##..#.##.##..#########.....#.#######..#...#.#.##.#..#.#.#.#..##.#.#......#...###...###......####.#.##.......#..#####.###..#..#.##.#.##.##.###...#.#..#..#.#...##.###..##.####.#######.#.##.#...####.......########....#.#.##..##.#####.#.......##..#.##..###.####.##....#....##...##..#.#...####.###...#.###...##.##.#.#.##.####......###.#.#######.##..##.#######.#.######.#.#....##.#.##....#.#..#####....#.###....##.####...#......####..#.#.##..###..#######.#####....####.######.#..####.#.##.....#.......#...###..#..#...##..##.######..#..#.####.##..##.##..##.#.####.##.###.##.#..##.######.##..##..###.##..###.###...##...###.#.#....####.#####..#.####....##.##..##..#...##..###...#.###.#.#.###...#.....#..###.###..####.....#.....#..#.....#.#..###.#####......####...#.#..#......#..#.##.####...##.####..#.#.....##..#.#.#......#..##.....#.#..#.####.#..#####..##.#...###.####...##...#...##....#..#.#########.#..#.##.#..#....#.###....#..#.###.#.#..#.......#.###.....###.#.#.#.#.##.#..#......#.#.###.#.#..##....#..#....#.##.#...#.##.#...#####...#..########.#...#.##...#......##.#.#######.###..#.#...##......#.###..##.#.#.###.#...#..#.....#.###.###.#.##..#.#....#..######...##.#.#..######.#.##.######.######.#.#.###..#..#....##.#.#..#.#.##.#.##..##..#.###.#.#..#.#...#......#.##...####.####...##...#..###..##......#####...##..#..#####.##.###.#.##.##.####.#..##...##..####.....###..#..#..##..#.#.##......#.#.#.###...##.######.#.#..##..#.#...#.###.##...###.##.#..#.####.#.##...#####......##.##..#.##.#..#.#...#.##.###.....#...##.#..##....##..#..#.###.#.....#.##.....#..#####..#...##...#.#.#.#.###.#.###...#.##...#.#.##...#.#.#.#.##.....####..##...#.##.#.......#####.......#.....####..#...##.#.##..#.#..#.##...#..##...###.....#####.####...##....#.#.#.#..########.#..#.##.##.#.####..###.#####....########.###..####......#.##..###.##..###.####.#.##.#..#.###########.##..#####..##....#...#.#.#...###
..###..#######.#.....####.###...#..#..#...##...#...#..####.#..#..##.#..##..###.#.###.#...#.####.#.#.#......#.###.####.#.###...##.###.####.....#.####.###.###.#..#.###.####..#.######.######....#..##..#..#####.......#...####.##.####.#.##.#....####.##..##....##.#.###.#.#.##..#.##.##.#.###..#.....#.....#...#..##.###..##.##..##..##.#...#######..##.##...#....#.....####..#...##..##########.###.###...###.#..#..####...##.#..#.###.#..#..##.##.#####.#.#########..###.##.##..#.##...######.##..##..#.########.##....##.....#...##..##..##......#....#.#.#.#.##.##.#######..#.##.......##..#...###.#.#.#.########.#..#...#.#.#.#.....#.#.#.#.....##..##.##......#..###..#..#.#..##...#####.##..#.#.#.....#.#...#...######.#######.##.##.#...##....#....##.#.##.#...###.#.#.#######.#.###.####..##.#...#....###.#....###.###.###..###.######.###......###.#....###.####..##.#........#.#.#..###.#...##..#.....#.#.###.#.#.###...##.##.#..#.#..###...##....#.###.#.....#.####.#.#######.####.#..###.##..#....#..##.#....#.#...###...#.#........##.##.##...#.#....####.##..#.##.##.........#...##.#...######.#..#.###..##.##.#.#####.########..#.#.#####..#..###..#####...#######.##.#.#..###..#....#.######..####..#...#.#.#.#..##..#....###...#.###.#.#..#.#.#..####...##.#####....###...##.##.####.#.#..##..#..#...#...##.#...##..###.#.##...######..##..##...####..###.##..##.#.#####....##...#.#####..########.##.###..##.#.#....#..##.#..####...##...#.##.#..#.####.....#..###.##...##...#.##.#.##.#..##.#.....###.#.#.....#..#####..#.#..#....##.#.#.#.#..#.#..###.#..#.###...#.##..####..#.##......#..##.#.######.####..#.#..#..#.....#..####.#....##..#.#.#..#..#.......#####.##..#.#..###...##.#..#.##..#.....####.####....#.#.#.##.....####.#.#.#....#.##.#..#..###...#.#..####.#..##.#.#.#...#...#.######.#..#.#...#.##..###..######.#..##..#.###..###########.######.....#.###.#..#.#..#..#...#####.#.##.##.##...#.##...#.#..######...##..#.#...#.#..##.#..#......##.###.#..##.#..###...#.###.##.#..#.###.#.#.#.#...#.##.##...###...#.#.#..#.#.##...#.#.#..##.###.
.#.#.#..#..###..###..#.#.#...#.#.#.##..##..####.##.#..##..##.##...#..#.#.##.#..#..##..#..#.##.#..#.#.#..###..#.#......###.###..###.#.#.#.#.##..#..#..##.#.#..#.##.#.###...#########.######..#...##...#......#.........###.....###..##..#.####.#...##.#.#...#..####......#.#.##..#..#.#.#...#.###...#...##.####.....#.#.#####.#.#####.###.#...#.......#...#.###.###.#...#....###.###.#.........##..####......#..####.##..#.#......##.###.####..######.#.#####.#..##...##.###..#.#.......###....##..#..#.....###.##......###...#######..#...##.......##.##.###.####.###.......##..##...######......#####.#.#..###..#.....#.#.##.#..#..#..#...#.###..###.####.##...#..#..#.#.#.#....##.####....##..#.#.#.#....##...#...#.....##..##.#.#...##..#.#...#..#.#######..#.#.#.#####..#...##...###.###.##....#..#.##.##.###...####.##..###....#..##.###..#....#..#.#.###..#.....##...#.##.##..##...###.#.#.#..#####..#.#.##.###..####.##..##.#.##.#.###...#..##.#.#.....#...#.#..#..#.######....#####.#..#.....##......###.#...##..######.....####..#.###...##....##.##..##.####...#.#.##.#...###..#.#..#.#.##.#.####.....#..#.####.#..###...###...##.....#.###....##..#####.##.####.###.###.#####..##.#...##...#...###...#.#.##..#######....#......#..#####.##.###...##.#.##.####........####...##.##.##...#..##.#...#.#####..#.#.##..###..#.......###.##..#.#.###.##.##..#.######.#.#.#.#.###..#..##.....##.###.###.#.#..##.######..#..#.#..###...#.#######..##.####..###..#.#.#.###.##..##.##.....##..#....#.##.#.##.#...#...##....####.....#....##..###.#####...#.#...#.######.....#.#.....#.####...###..#.###....#.#..#.###.#.####.#..####..#.###..#.#######.###..#####.###.....#.###..###.###.######.###.#.....#...###.#.##..###.#.#.#...#.#.#..##########.##.#.###.#...##..#.#..#....#.####....##...###..#####..##.##.##..#.##.##.##.#..##.#..##..#.#.....##...##...###.###..#.##...#..#####.#.#...##.#####..#.#..#.#...#.#..##.##....#..#...##...###..##..#..#.##.#.....###.#.##.####.####.#..###..#..####..##..##..#.##.#....####.#.##..#.###..#..####.###..##.##..#.####.##.#.##
.##..#.#..#......#.#.#.#..#.#####...##.#...#.###..###....#.##..##.....##..##....#...##.......###...#.#.....#.##.......#.#......##.#..#.#..######.####...###.#########...#.##.#.###.#..#.#####....#....####..##...#..#..##..#..#..#.###.#..#.#.##.##.#.#......#......###.#.....###..#..#.#......#.#######...######.##..###...#.#....#.#.#.#.##.###.##.#..#..####..##..#..#.###.#.#.#...##.#.#.....###.####..#...#.#.##.#.#.###.#.######..######...###.###.###...##...##.####..##..####.#..#.###.#.#.##.....#.#.#.#..##...#..#.#....####..#.##...##....##.#.##.#####..#.######.##.##.#.##...##...#...#..##.##.###.#.#..#.#.##..#.#.#..###..#.#######....#.###.#####...#.#.#..#...###.##...###.#....#...#####.##..##..####..##..##.#.####..##.##.###..#.....##....##.##.####..###..##.##..#.#..#..##..#...#..#.#...##...#.####.#.......##..#.##..####.#.#.#.#....#.##...#..#.#...#.##.#.#.......###..#..#####.#.##..#.###.#.##.##.####.#..#.#.#....###.##....#####....###...###.#.#...#.#####..######.###.#..#....#..#.##.#.####..##.#.##.#.#.##..##..#####..#####.#.##.#.##......##.#.#.###..###.########.##.##.#..#..###...#...#....##.#####..#.#.###..###..#..#.#...#########....#..##.....#.....#.#..##..#####.#.##.###..#...###.##.#..#.#.##.###..##....#.#.###..#....##.##.....###...###.####...#####...####.########..##........#.#.....###...###.#.##.#.##.#.#.#.##.#.##...####..#..#....##...##..###.#..##.##.#..##.#####...##.#.#.###.#.##..##..#.##..#.##.##.#########.#....#..#.##.##..##....#.#...#.###.....#.#####...#######....##.##.#.##...#....###.#####...###.....#...##.###......#..#.###..###.#..#.....#.#.#.##..#..#..#..#....#####..#..##.##.##.##.#.##.#.......#####.########..#.##..##.......##.#.#...#...#.#.##.#.##..#...##..#.#.###..##..##..#....#.##.#..####.####...#...#.#.##..###.....#.#.#...#...##.#...######..##.#...#..##.#.#.#.####.#.#......####.##.#...##.#.#.###.#.....#.##..##.#.....#.#.#.##...###...#.#...#....###..########..##..#.##.##...#.###.....#..##.#...##...#....##.....##..###.##.#.....#.#####...#..##....####.####.....#..#..
..###.#...###....####..##.....#..#.#.#.#.#.##..##.##.#...#.#.###....###.#.#.#.###..#.#.#..##.####...#..#.##..#.####.#.#.##.##.....###.###..#.##...#####....#...#..##.##.#.#........#.######.#..#....#.###.#..#####..##.....#.###.###...####..#.#.###..##.#..#.###..#.##.#......#.##...###.#...#.#...#.#..#..###..#.##.#..#..#....###.###.#......##.#.....#..#.#.##..####..#.#......##..##.......#......#.#####...###...####..#.#.####.##..##.##.##....#........###..#..##.#.#...##...####...#####.#.##.###.....#.#.#.#..##.##..####.##.####...#..###..##.##..#..#...#.##.#.#..#...#.#...####....###...##...##.#.##..#......#.####.#.#####....##...#.....#....#....##.#..####.#..###.##.###########..#..####...#...##.#..#.....#...#.#.#.#.#...#....####.##.....##....###......##.....###..#.##.##..#.##.#........###.###..##.#.#.#.#.#..#######.###.#...#.##.##........#.#.#....#...#..#..#.###...##...#...##.#.#...###.#.#.##..##.##..#..#.##.#.#....######.#######.......###.##...#.##........#####.....#.#...##..#####.####.#.#.#.#...#.#..#.##.#.####.####......##.#.####.###.##.....#..#...##...##..#####....#####......#...##....#..##...............####.###.####.##.....##.##...#.###.#..#...#..##..###.#.###.####.###..##.#.##..##.#.##......###.#####..#...#..##.#####.#.#.#..##...#.#........###.#...##.#.#...##.##..#.#.##....#.##.##.#.###..#...#...#.#......#..#.###.####..##..#.##.###..##....######..##....#.###.#.#...###...##..#...######..#...#.######..#..#..##..#....#..#.##..............##.#.#.##.#.#####.....#..#.##...#.#.###.###...#...###..###.#.#...###.####...##.##.#.####..#####.#.#.##.##..##..#.####.#.##.#.######..##...#.##.###....#...####.#..#....##.#.##..#.#....#.#.#....#.#.#..####.######..##.#...#.#.#..##...##..##.###.....##.##..###..#.#.#..####.######.#.###.####.#......####.####.###.####.#.......#.#...#..#.#.##.##...###.#....#..##..#..##...#..#...#..#.###.###..##..#.#....##.#.#.#.##..#.#.#....##..###.#..#.##.#.#.#....#...#..#......#.......######.##..#.##.#.#.##.#.###..########.##.#.....#.#.#...#..#.###..#.#.#.#..##
.##..#.###..#.##.#.#.#..#.#.......#..#.####.#...###..###......##....#..####.....#.##.##.#.##.#...##.#.#.##..##.##.#....####..#..##..#.###..#..#...####.#......###...#...####..##.##.###.##...###.###.#.##..##....#.#...######..#.#.##...#.##..#..#..####.#..##.....####.#.#..##.....#######.#..##....##.##....###.....#....#.#.#.#.######.##.#..#####....#.##.###.#####....#..##..#..#..#.####..##.#####.#.#..#....#####..##....#.#.#.##...##.#.###.####.#..###..#.#...#.#.##.#...#...##...#####.#.#.#######.....##...#..###..###.#####..#.#.......#.....##.#.#...#.#.####.#.#....######..#.#.#..###.....####.#.#####...#....#.###.###.#..#...#.......#.####.......#.#.#..#.#..........##.#.###.#.##..#.###.#...#.##.#..#.####.#..##.#...#.##.#.#...##..##..##.##......####....#...##.###.##.#...#.#...##...##..##.##.#.###....#.####..##.#..#.#####.#.###.##.#.##.#.#.#..#..#.#.##.#..##..###....##.##..#.##..#...######.##.##...#####..#.......#.##.#.#####...#.....###..#..#.###.##...####.#.#..##.#..#####.#..#..####.#..#####.#.#.#.###.#.##...###..##.#.#.####.###.#.###.#.##.##.#.####..##...####....#.##.#.#...##....##.#..######.######......#.#.#.#...###......##.####..#.....###.##..#...####..#.###..##...#..#.###.##..#..#.##.##.##.....##..###.#.####...#.#..###..##.##.#.##.......#######..#####..#.##.....##...##.#.......#.##.##.##...#.#..#..###.#.#.##...##...#..#.##.#.....#.##...#.#.####.#...##..#..#.#..#.#..####.#..#####.###.....#.####..##...####..##..##.##...##..#.#.#.##.#..#####..##...######.#.#.###..#....#.#..#..####.#...#..##..##.#.###..#.#..#....##.#####.####.#..#..#######.#..#.##.#..#.#..####.#####.##.###..##...##.#..###..##.###.####...#####.#.##...###..###.##....##......#.##..####..##....##.##..#.#..####...##.#.###...####.###.#.#....#.#..###.#.###.#..##.##.##.##.##.##.###..#.#####.#.##.#.##..#....####.####....####.######..#..#.#.#..##.##...##.###.#..#...##.#.#.#.#####..#..####.#.#.###..#.#..####.#..#......##.#####..####.#.#.#..#..##.#..##.....###..#.#..###.###..#.#...........##...##..##..###..#.#.##......###.
.##.#.##......#.#..#.###.#.#.#######..#.####.##...#......#.##.#.##..##...#..##.#..##...#....###.########.#..##.##.##.....##..#..##..#.##.#..##......#.#..##.#......####.#....#.#.##.#.....#.#...###.###...#.####...#.....###.###.#.#....###....###..##..##.####....#.#.#.###.##.#....##..##..#.#.###.#...#.....#.##.#.#..#.#.####.##.#.#.#..#.#.##.#.##..##.##.#..####..#.#....#.#...###.###.##.####...###...#..#####...#.###.#.###..#..#.#.####.#..#.#...#...#.###.##.######.####..##.###.#######..#.#.##.####.#....##.##.######...###..##.#.#.#.##..###..##..#...####.#.######..##.####.#.#.#..#.#...#..######.#...##.####.#.#.##.#....#######..##.#######.#.#.#.#....#.#.#.#.###.##....##.#.#####..##.##.#.#..#.##..#.#.###...###...#...#....##.#..##...#.#.........#...#.##.#......#.#.#..##..#..###....#..#.#..#.#.#.##.##..#..##....#.#..######...###.####..####.#.#.#.###.#.###.#.#####.######..#.##.##.###.#......#..#.##.#####.#.#.#####..#..#..#.#....#....##..#.###.#..#......#..####..####.#.######..#..#.#...#.#.#..##.##.#....##.......###....#...#.##.######.#...###..#.##.......##....##.###.##....#....#.#.##...##.##.#...#.###.#....#.#..###.#..#...#.####.###.##..#.####.#...#..###.##.#.######..###..#..#.#....##...#.#...##.#..#.###..##.##.#.#.##..#.#.#.#.#.###.#####....###.#..##.#.##..##.#.....#.#.###.#.##.#...#.#..#.##..#...##..#..#.#.###.#####.####...#..#..##.#.##...####....####.#.....###....##...##...#....#####....#..#...#..##.#..#.#.#####.#.#..##.#.#.#.#..#..##.###....##...##.##.####.######.#.##.##.#.#.###.....#.##.#..#....####.##...######..###.##..#.##..####.##....###.#...##.....###.#######.#####.##.....##..##.##....#....###.#.##.#.#.#.#.#..##.###.##..###..##.######.#.####....#..#.#.##..##..#.#####...#.####.#.##.#...####..#.##....#....###.#.#.#..###.#..###.##..#####.#####....#......##..#.#.#...###.####.##..####..##.#.#.##..#..###....#.#.#####.#.......#...####.######....####.....#.###....#....###.....####..###.#.....####...##.##..#.##...###.#.##..####.......##.....#.###.#....#####..#####.##.##.##.#...##
.###.#.#.#...#..####.##..###.##...##.##..##.#.#...#.########..#.#...#..#.#..###...####.......##.#####.####..#..#....#...#.#.#.#....###.#.####.#..###..##.#.###.##.###..#.#####.#..####..##.#.#.##...#.#.#....##.##.##..##.###......##....######...####..#.#.#...##.####..###.####.#.#...###......#..###..........#..#...#...##.####..#.#.#....###..#####.#..###.#.###...###....##.#.###..#.#.#####..#..###.#######....#.##.#.###....#..######.#####..#....#..#...###.#..##.###....#.###...#.#.#.#..#.###......#...#.#..#..#..####.###..#.#..##.######.#..#...#..##.#....#..#..##.######.###..#.##.#..####.#.#.#.....#.##...#...###..##...#..#...##.###.....##.#.##......###.###.###....###.#.##.....####.#....####.##..#....####.#.#.#####.....#.####..#....##..#..#.####.##.#.##..##.#.#.#.#...######.#.##.#####..###..##....##..#.#.##.#..###.#..#.#.#####.#....#.#...#.##.#..........###.###...#.#...#####.#..#...#..###....#.#.#...###.##.#######.....#.######...##.###...##.##########......###..###.#...##.##..#.##.#.#.#...###.#.##..####.#.#....###.#.####.####.##..###.##.#.#########..#.###..###..#...#..##.####.#..#..#.###..##..###.##.#.#..##.#.##...##.###..##..#..#.##..##..#..###......#.#...##.######.#######...#..#.#..#####..#....###.###.#......##.###..###..####.###.###..######.#.##..##...#####....##.#.###.##..##..#....#...##..#.##.#.....#....#...#.##..#######...#.##..#.....#...#...###.##.####..#....##..####..#######..##..#...#..##.....#....##..#.###.###.#..#....#####...###.#.#.....#..####..#.##.#.#...###.#.#....###.#..###...##..##.##.###..#.#.#.###.###.#########.....##....######.##...##.#.##.##...####..#...###.#..##..##.#####.#.#.##...#.#.##.#.#.....##....#.###..#..#....###.#...##.##.#..#..####.###.##...#..#####.##..#......#..##...##..##..##..####.#..####..####.##..##.....###.#..##....#.##.###.....###..#.##..#.#.#..###..##...#..##.##.##....#...#..#..#.####..#...#####.#....#..##.#.#..#....#..#.##.##.##...#..##..#.##..###.##...#..#...#.#....##..#...##.#####.#########..#..#.##..####.######....##....##.##.###...#
###...####..##.##.###.##..#.#.#..#####..##..##...##..###....###.##.##.#....###........###.#..###.##.#.#####...#.####....#..#.#...#.##.#...###.#...#....#.##.##....####......#....#.#.#...##.#...##.###..###.###.#.###....##.#..#..###.#..###..#.###.#.......##..#...#.#.#.#..#.#######.#.##.......########..#####..##.###.....###....##..##.#.....#.#.....###.....####.###.##..#....##...#...#..##..########..#...###.###.#.#.#.#..#.#.##.######...#.##....##..##.####...###.....#.#.#.##..#..###...##.#.####......#..#.#..#####.#.###..#..###..###.#..###.#.#...#.#.#....###...####.####.#.#..#..#.#..##.##.####...#..###.......#....#.#..#....###..###.#......#.###.#..#.##.#.##.........#..#...##...#.#..#...#.#.#..#####...#.#.##.#.#.....#.#.#.#.###.......#.#..##...#.#####.....#.###.###..##.###..#..#..#...##.#......#...##.###...##.....#....#...##.#..##..#.#.....#.#.#........#.#.#..#...##..###.#..#.###.#..####..#####.##.#.###......##....#.#.#...#.#..##...#...##.......#...#...######.#######..#.....###..#.#..###....##....#.#..#.#.#.#...###....#....###.#.#..#.#.###..#.##.#.#.#.##.#.#...#..##.#.#....##..##.#..#.##..#...#..#..#.....#..#.#.##...#.#..##.##...###..##.##.....#..#.....#.#.#...###.######..##..###.##.####.#####....#...##....###.#.###.###.####..##..#####......########..........#....###..##.##..##..#.#....#.###...###.##.####.#.#...#....#######.....####....#...#.......#.####...###...##.##.#.#.#.#####.#.#.........##...##....#..#.#..#..#...##.#...##...#....####.##.##.##.#.########.#....###..#.###.####.###.#.#...#..#...##.#....#.#.....#.#####.#.##.####..#.#.#.#..####..##.#.#...#..#.#..##....#.#..#.#.######.##.##..######.##....#....###.##....##.##.###.#.##....##....#.##.#.###....#####.##...#.##.......#..#.#.#.###.#....##.#..###....#.#.....#.##.#.##...#....#.##.##.#...####.#.##.###.....#.######..#..###.......#.#.#####..####.#..#...#...#..#####.###..##.##...##....####.#..#.#...#..#..##.....###.#...##.#.....#..#.#..#.##.#..##.#..#.####..####....#.##.###.####.##.#.##.....###.#.#.###..####..#.#..##..###
#..#####.##....###..#....#.######.#..#.#.###.#...###..####.....###..###....#.#...#####.##.#..###.#..##.......#...#..###.#..##....##.##..##.##..#....#.#.##.#.#...##..###.#..##.#.#...###.###.........#..#..#....##.#.#....#.###.######.#...####.##.###.##....###..##.####..#.#####...##.##..#..##.#####.#####.#########.##.#.#...#####.#..##...##.###..###.#.#..#.....##.#.#.##.#..########.####.#..#.##...#...#..#.###..#..##....#..##.####.#...#.#####..####..#......########.######..##.#.#...#.###.#####.#......#..#....####..#......#..#.#.#..#..#...#..##.##..#.##.#...##..#.#.#.....#.#####.##..##.#.###..###.#.##.#..#.....#.###.#..##.#.#.##.###..####...###.##...#...##....##..##.#.##.###..#.#.#.##...#..#..#..#..####..##.#....#.#.####.##..#..####.#.#.##..#....#..#.#...#.#.#..####.#.#.##.#####.##..#.#.#.....#.##.##.#.#....##.......#.##...#.#####...#....####.#.#..###.##.###.##.#..##.####..##....#..#.........######...#.#..#.....#..#.###....#....#..###.##.#...##..#.#..###..###.#.##...#....#.#..#.##.##.###.#.#..#####.##.#...###.##...#.....#..##...#..######.#.#..#.......#.#..####.##...#..###.#######...#..####....##.####.#.###.#..#..#.#.##.##.....#...#..####.##...#..#.##.##..##.#.#.#...#...#..####..#.#.#.##..#.#...###..#.#..#.........##........#.#...#...#..##...###.##....#..#..###...#...##........#.#.#.#####..##..#.#.#....##...###..#..#...##.#...#.##..##.##.##..##...#.###.##..#.###.##..#.##...###..#.#...#..#..####.##..#.#.#.###.#....#.#..###.....#...###.#..#..#######.##.#..#.###.####..#########..#.#.#..#.####...#.##.#..###..##.......##.##..##########...#.#.#.#.#.#.#...#.##.###...#..####.#..###....#.#.##.#..#.#..#.##.###....#..####.###..##.##...#.##.#.....#..#..##..###.###..###...##....##..##.#.#.#######.######..#.#..#..#.##.##.#...##.....#..#....###.....###.#####.#..##...#.....##.#..###..#..#....#..#.........#...#..#.#.#..##..###...###...#.###..##.##..#.#....#######..........##.....#..##.##.##.#.#.#.#.#.#..#........##.#.#.####..####..###.##..####.###.#.###..##.#...#..#..####..#.###....#####..#
...####...###....##.#..##..#......#.......#..##....###....#####.#.#...#..##.#.####.##.#..#....##..#..#....##.##...#.###.#..##.####..##..##.#.#..#..#.######..#####.#.....#.##...#...##########...###.#.#..##..#.....###..####.##.#...#####.....#.#....##...#######..#...#...##.######..#.##..#..#..##..####..##.###.######..##.##.##...##..#..#...#....##....##.#.#.###...######.##....#.########....#.#........###.#...###.###.#..##.#########.........####.###.#...#..##..#######....#....###..#..###..##.#...#..#.....#.#.####.##..###.#.##...#.#..######..##...#...##....#.###.##..#.#......##.##..#.#..#.#.#######.###..#.#####.#########.##..###....####..###.#.##.##.#####..#.####..##..##.#.........######...###....###..###..##..##.##.######.#...#..##..#.###.####...#####.#.....##..#...#.######.#.###.#.#.#.#.#.########...#.####.##...#..#..####...##.#..#.##.........#.#.#.##.###.##########..#...####..##.###.######....#####..#..####.###..######...##...#..#...#.......###..#.#.#..##.#.###...#..###....##.##..#...#......#####.##.##..#..#.##.....#...#.#.....##.......#.#.##..#...#..##..####.#.#.#...#.#.#.#....#.#..#######.#.#.#.#..#.##.#####..###.###...##.###.##.##..#.#.#####...#.##..##..###.#..#..##..####.########.##.....##.#.##..##.#.#.##.....#....#..##..#...####..#..#.....#...#..#.#.########.###..#.###.##...##.##.#.#.#..##...#..##.##.####.#.#.#.###.#.#.###.####......##....#....#...##...#..#..###..#...#.####..#.####...##.####.#.#..#.#..#.###.####.##.#..........###....##.##.###.####..#..##..#..##.##..#..###...####..##.###...#####.#.......#.######.##....#.....####.#.##...####..#.####..#.#####........#...##..#...#...##...###.#.##.##..#..#..###.....####....##.###.##.#.###...####.#.....#..#####.#....##..#.....#..##.#...#.##.#..##.##....#.#####..###.#..#.##..####....#...#.....##.#.###..#...##.....#####.###..###.##.....##.##.##.##...#.#......##.##..##.##.#.#...###...#.#...#...#..##.###.#.#..#..###.......#.#####....#.#.#.#.##..#####.###.#..#..#.##.##.##...###.##..##.#.####....##..#.....##.#.#..###.#..#...#
###...#....###...##..###..##...##..##########.#..#...####...#..#.#...##......#...#####...#.#.....##....#.#..#...##........#..#.##.....###.#.....##.#.####..#.#..#.###..#...#.#.#####..#.#.#..##.#..####.#....####.#####.###.#.##.##.##..#.##.###.##..#.####..#.#..#.####.######.##.###..####.##.#.....#.###.....##......#..#...#...#....#.###.##.##....####..#.#.#.#.######.#.#.##.##.##...#....#####..#..####..#.#.####...######.#.#.####....#.##..#.#.#.#.#.####.##..###.#....#.#.##.#..##.#.#..###########.#..#..#.##.....##........#####.##.####...#.###.#.#.###.##...#.####.#..##.##....##.#..##.####.#.###.#.#..##..##..#.##.#.#.#.##..##.#...#.#.##..#.##.#..#..###..##.##....#..##....######....#....########.#....###..#....#.##.#....##.#.#.#.#.#.....#...####.##.######...#...#...#.###..#....######.#.####..#######......#.....###...##.#.##.#.#####.#.#....#..##..#..##.....#.###.##.##.##..#....##.#.#.#....#..##.#...#.##.#..#..#..###.#....#....##..#.####..##..#..#.#.#..#...###.#...#.##.###.#.#.#####.#.#.#.##..##..####.###...###........###..#.#.######...#.##.....#...#..#..#.####..##..#....#####.#.##.#.#......#.######...####..#..####...#...##..#..####.#..#.#.#......#.....#.#....####..##..##..#####...#...#.#.###...#.#....#..##.##.....###.#..##.##..#..#.#..###....#..#.......##..#..#..##.#...#....#.###...##..#.#..#..##..#.#...##.#..#.#######.#....#####....#.##...#....##.#.##..####.......######.#.#.##..#.#.##.##.#...###.#.##.######...##..#....#.#..#.##..#.#..#####.###.#.##.#...#.######.##.##.#.#..##....##..###..##......###.....###.###..##...#.#.###.########..##.##..###.##...#.#...####....##..#.##.####.#.######.#...#.###.##.#.....#...##..#.###...#.....####.##.#...#..##....###.#.###..#.###..#.#...#.#....##..###....#####.##.##...###.#..###.#.#..#.#.#.#....#..#.#..#..#.#####..#...#.#######.#.#.###.##.####..##.#.#.##...#.##..###........##.#.####.....##..##....#.#...##..#.#.#.###..##.###.##......##...##..#..#####.#..##.#....##.......#.##.....#.#..#.#####...##....##...#..#...###..###.#..##.#..........###....
#.#..##.####..#..##..#.###.#..#..##......##.#.#..#.#...#.#.#..##.#....#.#.........#..####.#.##.#####.#.#....#.##..#...#...#...#..###....#...###..##.#.#######...#...#...##...####....###.####....#.#.#...##....#.##.#.##.#######.....#.#..#.####.########....#.##.#.#####.#..#.#####.##.###...#.#.#.#.#.#..###.....##..###.#.#..##..#.####....##.#..##.##..##.##..#...#####..#..###...###....##.#..###.##.#...#..##.##.####..#..##..####.####..#####.....#....##.#.......###.##..##.#...#.#.#..#.....##.####...##.##..#.##.....#.##.##.#..#.##..##.#...#.###.##....###.#...#....#.#####.##...#....#########..####.##.#.#..........####..#.##..#.###....#..#########..#.#..#.#..##.##..#...#..##.#.#.##..#.#.##.##..###.###.#......##.###..##.#.#.#...###.#####..#.##.#....#..##..#.#.###.#...#..#.###......#.#.........#.##...#.......#.#.###.#.##...#.##...##..#.....###.##...###.#######.#.#.#.####.#...##...######.##....##.##.#####.######.#..#..##.#.#..#..#.##..#.##.#.........##....#...####.###.....##.....###....#####....#....##.#.########.##..#.....###...####..####....#.###..###.##.#.#.#.#.#####.####..##..##...#.#.#.#.#.####.......####.#.#.#.....#.##.#...#..###.#.####..#.#.##.##.##....#.###....#.#..#..#........#.#..#....#.###..#.#####.#.#....#.####.###.#.##...#....#...#..#....##..#..##.#####..#.##.######.##.######..###.###..#####..##...###..##.##.#.#...#.#..##.#.###...####.###.#####..####.##.#.#.#.#..#########.#....#...#...#...#.#.##.#.########..#....#..#....##..###.#.#.#..#...####.##..#.###..#.##.#.#.#.####..###.....#.###.#..#...#...#..###...#...###.##..##.###.#..#...#..###...#..##...##..####...###...#####........########.#.#...#....#.####.###.###.###.####.###..###.##.#..#####....#..##.##.#.#...##.#.#.###.#..##.#.#..####......###....###.###.#.#.#....##########.#.#..#..####..#.#..##..##.#####.#######.#...#.#.#.#..#.##.##..#...#..####..#####.##.#.##.#..##..#.#..##.#.##..#..#.###......##.#..####...#.#.....###...#...#..#.##..#.#.#.###.###...##..##.#..#..##.###..##..##.#..##.##.###..##.#.##.##...##.##.##.##.##
.#.##.##..##.#..#.#.####....##.###.#.#.#..#..#...#..##.#####....###...#....#####...####.####.#.#.....#..#..#..#.##..##..#..#.##..###.#..##.#.##.##.#.###..#..##.######.#..#...#..#..#.#####.##...##.##.#.######.####....#..##.##..#..###.#.##..#######.#####.#..#...###.###...#.....##.#.#...#.#.#.#.#.###....#.#.#..#.#.#.##..###...###.#...#.#.#.##.##....#........####...#..#..##.#.#..#..#..##....##..#..###.#....##...#...#......##..#.....#....#..#..##..#.##....#...#..##.###..#.###.####.#..###..#.##.#.......#.#..###.#####.#..#.#.....##.######...##.##....#.####.#.#..#.###.....#.####..##.#..#.#.#.###.#.##.##.##.##...#.#..#...#####.....##.###.###.###..#.#........###.#...#...####.##.###...##..#.##.##...#....#....#..###....#....###...#.#....#.......##.#....##.####.##...####.#.#.#.##.##.#..###.#.#.#....##..###.#......#.##.#..#.#...#...#....####.##..#.#.##....##.#....#####...##.#...#.#..#...#####.####.#..###.#..#.###..#####.#....#.#..###..#...##.#.##.#.######.#..#.####.###...##......####.#..#...#..............##.###.##..#.###.#.#..#......###.##...##..#.#..##..##.#.....#.#....#.#..##.##..#.##.....##...#...#....##.##...###.######.#.#.#....###...#....##.###....##.##.#.##.####.###.#...##.#.#..####.#.#####..###..#...........##.#...##.###..#.#.....###....##..##..###...##...##.###....#.######.#..#....##.#..##..##...#.....###......#####.####.#...#...#...####..##..##..###.#.#.##.#.##.....##.###..#.#...#.#.#..#..##....#.###.#..##..#.##..#.#..#.#.#....#.##.####.####.....##.###.....#....##..#.###.....##...#..##.#.#...#...#...#.###..#..####..###..#.#.#...###...#...####..#....#...####.##..####..###..##.#.#....##.##..#....######.##.#...##.#..#.###...#.#.#.#.....####..#.#.###..###....#.#.......#...#.#.#..#..#####....#.....####.#..##.##..#..##.#.#...###...##.###.#..##..###..#.##.#.##.###.#.#.##.###.#..##.##..#####...###.###.#.#...#...#.#.#..#.#.#.###.#.##....##..###.#...#...#######...#.####..####..#..#...#.##..#....####.###..##......#...#....#..###.#..#.####.##..#...#............#..#..##..###..##.#.#
#.#...###...##........#####...#....##.#..#..#.##.##.#####.#.##.#...####.######.#####...#...#...###.##....#####......##..##.#.#.#.#..#..####.##.#.#.###.#...#..##..##.....##.......######....####..##....#..##.##..#.#...#...#..###.#.#.#.#...#..#.....#.###.#.##.###...####..###.#...##..#...#.##.###.##.##..#.###.....##.##.#.#.###########.###.###.####.##...###...###..#.#..##..#.#..#.##.#.#.##..######.#.######...##...##..###.##.#...###...#..#.....#....#...##.#.##..#####.##.....#.#...#.####.#.##..##.####.##.###.##..#...####.#.##...##..#..#..##..####...##...##..##.........####.###.#...#.#.##..##.#.##.#..#.##.##.##.#..###.##..#.###..#....#.#.##..#...#.##....####.##.#...#....#...####.####.#.#...#.##.####...#.#..#..###.##.#...#.#####...##.#....#.#.#.##..##.#.####.##....######...##.#.##.#.###.....#####.#..####.#.##..#.#.###.###..##...#..#..#.#.###.#.#.##.##...#..########.....##.##.#.###..###....###....###..##.##.#.#..#.######....##..#..##.###.#.#.####.#.#..#.####....##.##.###.#..#.#.###...#..######....#####.##.##...###..##.#...###..#..#####.####...###.#..###.#.#.##.##..#.#.......#..#.#.#..######.#####..#.##.#...###########.#.#.##..##..####.###.#####.#.#..##.####..###...#..##..#.#.##.#.....##...#.#....#....#...##.#....#.##.#.###.#.###.#.##..#.#.#.#.###.###.#..#.######.##.#.#...#.##..##.#.#.#.####.###.#.#.###......#.#..######....###....#.#.###...#.#..##.#...###...#.##......#.###..##..###.####....#...########...#.#.##..##.#..#......##....##.####..#.##.#.##........#...#.##..#..##..###.....#.#.###.#.###.##.#.##....#.....######.####..#.#..###....#.####.#####..###..######......##.#.#.####.####...#.#..#..##.####.#..#.#...###.#..#.##.#.####.#..#..#.##.#......##..##.#..#..#....######.#....##....#.#..##.###.#...#.#.######....####...#.#.#.####.###.#####.##....#..##.##.#...##.##.###..#..#####...#.###...###..##.#.##.##..###.####..#......####..##..####..#.#....####.....#####.###....#..##..#...##.#.##....#.#.##.#..#.##.###...##.#..###..#.##..#.#.#...##.#..##..##.#..##...#....####......#...##...#.
..#.####..##.##.##..#..#.#.#.#.#.#.#....####...#..###..#.##.######......#####.#..##..#.##.#...#....#.#..#..####.#.####.#....#..##.##.#..#.#..##....###...#.###..#.#.##.#..#.###.##.#####..#..#.##.#..#...#.##.#.#...#..#...##.......###......##....###..#..##.....####..#....###.#..##.#.....#####.##......##..#...#.#....#....##.#.#..#.#####...##.#..#.#..##.##..#......#.##.#.#..#.#....####..##.###.#.#...#.#.##..##......##.###.#####.###.#...#..#..###.#..##.#..#.#...###..###..###.##..##.##.####...#...##.###.#...###.#.#.#.###..#.###.##..#..#..##.##..###.#.#...#...#.#.#...#...#.#.####..#.#.#.#..#.#....##.#...###..#.....##.####.#.#..#...#.##.#...#.#.#..##...##..#...##.#.##.....###.....##.#..#.#...##.##.....####.##..#..###.##...######....##...#...###.....#...#...#...#...#.#.##....##.#....##...##....#.#.##.####....##...##....###.#..#.###..####..##.#...#..##..#.#.###.#.#.##...#.......##.#....##.##.###..#.#....###.#.#.......#.##...#...###.#.####..#.##...####..###.#..##.#..#....#.#....#....###...##...#.##...#...####.......#####.#.######..##.....######.###..##..#.#...#....######...##.#..#####.#.##.#..#..#.##...#.#...#####..#..#.##.###..##..###.###.##..###.#.#.#..#....###....#..##.###.###..#.....#..#####..###..#..#...#.#.#.##..##...###.##.#.....###.#####.#..#.#...###.#...#.#..#.#####.#.####...###.....#.#...#.####..#.#..##.#..###.##.####.....####..#....#####.#..###..#...#.#..##...#...#.###.....##.#..#...#.#.#..#.####....##..##..#.#..########..###.##.###.##...##..####.#..#.##.###.#.##....###..#...####..#...##.##.#.....####..###.##.#..#.#.####....#..#......#...#..#.....##..##.#.#.......##.###...#...#.....##.#.#.##.#..###.##.#####.#.....#...####.#.#.##.#.#.#.#.###.#........##..#.###.....###.......###..##..#.#####.###..#.#.#..#.#..#.####......##..##.##.##.##..##...##.#.##..####.#..####.#.#.....#.##.###...#.#..#.#.##...##..###..####..#..#####.#....#...#.##.....#..#...##.####..#....##.##..#..##..#...##.##.######..#.##.#.###.###....##.#....###..###..#..#.##.#.###...#..#.#.##....#..####.#.#..###
##.##.#.#.#.###.###..#......###.###.####..#######..#.##.#...#.##..#.#..#.#.##.#####.####.###.####.#.#..#.####.#.###.###......##.#..###.##..####.#.#.#...##..#....####.#.##....##.###....#..#....#.#.##.##....#...#...##.....##.##.#...#..##..#####..###.##..#.###.#...#.#..#.#..####.###..#...##..#..#####..#......##.#..#.#..##..#.#######.###########.#.####.#..##.##...##.##...#.##..##.#.###.#.#..#..##.####.#....##...###.##.....#######...###....#.##....#..#..###...#.###....###.###.#...##.#...######..#..####..###.....####..#.#.#..#...#.#.#..#...#.##.######..#....##.##...###..###..##...#.#..#.#.#.#.#####.#..##...#..##.#..#...######...#....#.##.#.##.#.##...##.##..##.#..###.##.##...#####...#......##.#.#.##.####..#.....##...##..#.##...###.#.##...##.##....#.#.##...#.###...#.##.#....#..##.##..##..###..##..####.#..##.##..#.##...##.####..##.#..#..#..#..##.#...###....##..####.###..#.###...##.#.....#.##....##...#####......#..####..#.##...###.###.##..###..#.##.#.##..#.##.##..##.#....##..###########.##.....#..####.##...#.##..#..##...#.###..###....#.###.#....#.....###..#........##.#.#..####..#...#.#..##..######.#...#.#....#.#.####.###.####.##...#...#..##.##..########.#.###..#...###.###...#..#.####.###.#.#.###...#######.#.#.#.##.#.####.#.#...##..#####.#..#.##.#.##.....#.##.##.#.####...#######..#.#.####..#.#.#.#..#.####..#........#.#.##.###.#.##...#..#..####.###.#...##.###..#.##.#.#.###.#....##...#.#####..##.#.....#.#.#...#.#.#...#...#...#..#.##...######.##.##...#.##...###.###..#.#.##.##.#.#..#.##.##.#.#.#.......##..##.####...#.#.#...##.###.#...#...####.#.#..##.##.#....##.####......##..###.#.##.###.##.###..###.##..#.#.#...#.##..#..#..#..###.###.#....#..#.###.#.##.#...#...##.####..###..##.#.###.####.##..#.#####.##..#...###....#.##.#......#.#...#...#####.####.#.#.####..##.#..#...#..#########..####.#.##.#.#...###..##..#..##.#.##.#....#.##.#.###.#..#.##.#.#...#..#.#....#.####.####.##.##...###...#..##.#.##..#....#.##..#.#.#######.#####..####.....#.###....###.###.####..#..##.#...#.#.....######.###
.##.###.####.#..##..#.####..#..####.#.##.#######..###...########..###..#.##.##.###.###..#.##.####..##..#.#.#.###...#.#.##...#.#..##.#..#.########....##.####.#...##...####.###....#.##..#.#.######.#.#.###......#.##.#..#....####.##..#..######.##..#.#.##.####..#....###.#....##..###.##.#.#.##.##.#...#..#.##.#.###.##...#.#######....#########.#.#.....##..####.###.##.#.#..#..#######...#.##.##.#.#.###.####...#...#...#.######...###.....##..#.##.#..####....###.##...#..#.#.##.#.###.#####...#...#.#.#.##.#..####.#...#.#####..#.##..###..##..###...##.#.#.#.#.#..#...##.##..##.#.###..###...#####.....##.###...#.##.##.##.#.###.##.#.....###.#.#....#...##..#..#...##...###.#.##.#..#..#.######...#.#....#...####...#....##......##.####..###...##..###...#.####.####....#####..####...#...#.#...#.####.#.#.####.#.#.#.###..#.######.###.###.#...#.#..#.###.##...####.##..#..#.....##.###..###.###.###..#..#.####.###.....###.#.###...#.##..#..#.#..#.......##...##.##..##.##.#..##..#.###.#.#.#...######.####..#...###.#......##.#.....#..#...###.#...#...###..#....#.###.....##...##..####.#.......#..#..#.##...#.##.....###..#.#..##...#####.#.##.....##.###.#.#.#.##.#..###...##.###.##..#.#..###.##....#.###.#.#####.####.####.#.####..#...#..#####....#.###.##.#...##..##.###.###..###.#...##..#####.#.#.##..#####...#...###..#..#####..#....#.#.##..#.##..#..#...#.##.#.#..#...#####..#.#.#.###.....##.#.##.#.#..###.......#...#..#..#.#.#.###..#..#..#..#.##.###.....#..#.####....#..#.###.....##.##...##.#.#..####.#..#..#..####.####..#####..#.#####.........##......#..#.########.#..######.##.#.#.#.##........#..#..#.##...#.#.#.##..#..####.####..#####.###...####.#.#######..#.##..#.....##...#.....##.###.#...###......##.#.###...#.#####.####...#.#....#...#...#.###.##.#..#.....#.##....#..###..###.#...#.....##.###.#####....#.#....###.##.....#.########.##.#....##...#.#.#...###.##...###...#..##...##.###....##.##.#...#.#.#..####.#...#.####.##.#.#..#.###.#####..#..###..##.#..#..#.###....###..#.#.###.#######..#...###..#...#.#.#.##.#.#..##..#.
...###...##..#.##.#..####.#.###.##.##...##.##.##..#.......##..#.#.##...##.###....##.#.###.##...#....##..###...#.#..#..#..##...##.#.#....#..#...#.##.......#.#..#.#...#####..#..#.#.##.##.##....#.###.....#.#......#.#.####..####........###.#.##..##.....##...##...###.#.##.#.#..#..#.#...###.#.###.#.######.#.##.##....###...#..###.....#..#..#####..#..#......#.###.###.###...#.#........#..#..##.##..######.####.##..#...........#.####.#..##...##.####.#..#..#####.#...#######...####.#.#.#.###..###...###.#.####.###.#####.##...#.#.##...####.#......###....##.##.#...##..#.##...##.####.#.###########..#.#.###...#.#.##.##.#...##..#.###.#.###.#.#..##.##.....#####....#.##.....#..##...##...#..#.#.##.#.#..####.#..##.##..#.##..##.#.#.......####.....##.#.#..#...####....#...#.###.#.##..###.##.###......###.#...###.##...####.##.#...#..##...#....##..##.######.###.#####..#..##.#.#...####.#...###.#..#.#..#.#.###.#.####.#..#.#.##..#...####.###.#####..#...#.#...#####.#..##.#####......######..#.##..##.##......####..#.###..#.####.#...#....#.##.###...#..#.####.####.##.##...##..###.#.##.#.##.####.#...#...###.....###.#..........##...#..#.......###..####..###.###..#.##...##.###...#.###.........###....###.####..#...#..#####...#.....#.#..##.#...#.#.##.###.#.##...#.#....##..##.##.#..#..#....##..#.###.#.#.##.#....#...#.#...##....#..#...###..#...##.####.##.##.#.###...###..#...#####.#..#.###...#####..###.#.##.#####.#.....###...#.#...######.#####.###..#.#.....####...###...##..#..##..##..##.####..#....##...##.#.#...#...###...##########.#.####.#.#.#.####.########..#...#.##..#.##.#..#..#....#..#...#.#...###.##...###.......#.##..##..##..##...#....#....#.###..####..#.......##.##.####.#.#.###.#..#....#..###.#..##.###.#.#.#.####.##.#..#....##.#...#.###....#....#.#.#.#.###.##.#.##...#.#...#..###.###.#..#.#######....#####.#.#....#.#.#.#.#.##.#####..##..##.##.....#.#.##..#..##...#.#####.#.#.#.#.##..##..#.#.##..##.#.##.....#..#...##...###....#......##.#.##...#.#..###...#.###.#.######...###.#...####.#..##.#..#.##..##.......#
...###.#..########...#..#..#.##...#......#.##..#..#..###....##...#..#.##.#....##.##..#....#.##.#.##...#....###.#..#.#..#.###..#.#..#.###.##....##.######.#.....##.#.###...#.##.#....#....##.#.#...#.####..#.#.#..###.....#......#.#####..##.#.#...#####.#..#####...###..#...#..####..#.#####.#..###.####..#..#.##..#.##.##.#.###....##..###.##...#.#..#..#.####...#.###.####.#....####..##.####...#.#...#..#....##..##.##....#.#.#.#....#...#..####.......#.#.###.#.##..##.#..##.#.#..####..###.#.###...#.###.#####.##...##..##.###....#..#..##..#.##.#.#....##...##..###.#..#.###.##.#.#..##...####.#...#.##.#.##...#.#.....######.###.#..##.###.#...#####.#...#.#.##.###.##.###.#.##.#####.#..##..#...#.##.#####...####..#..#...#..#.##.####.###.#.#......####...###.####..###..##.##.#...##.#..##.#....#.#####.##..#...#..##.#...#....####......##.#.....#.#.#...#.#...#..#...#.##..####.##.#.####.###.##.#.#.....##...#.##.#.#.#.#..####.###.#..##..######.#.##..#...#.##.#.#.#.#.###..#..###.##..#..##..##.#..###...##.#.###....##..####.##.#.#######.#.##.#.##.#####...#.##.#.##.#.##..#..#.###.##.##.#.##.#..#######.........#....#.#.#...#...##.#..#....#.#.###.##.#.....##.#..######.##..#..#...#####.######.##.##..##.#.#...###...#...##.#.##..##.##.#.##...###...###..#.##.##..#..#...####....#.##..#.#..##..#.##..###..#.#..##....##..#.##..##.#####....#....###.#..#.##.###..#.#.##.##....#......#.###.#..###.#.#...##.#####.#.#...####.#..#......#....#.#.###.######.#.....###.###..##.#.#...#.#.#....###.####.##..#.....####..#.#.#####.#.#...#....####.##.#..#####...#.##..#..##..#...#####.....##..#.###.##..##..#..#.###...#.##........#...#..######..#....#..####.#.###.##..##...#.##.#..#...###......#.##.#.##.#......##...###.#.##.###.##..##...##.##.##...##....###.....##.####...##.#.###..#..#...####....#..##.##.#..####.......##...##.###...###.#.#.##.#.#.###.####...#..##.##.#.###.#...#######.#.#.#.#.#.##..#...##...#######.#.#.##..#.##..#........##..#...#######.##...##.##.##.....##.#...#..########.#.###...#...##.#####...##....##..####.#.#.
#.#####.#..####.##.#.#.....##.###.....#######.#.####.######.#..##.#.##...#...#..##.##..#....######..#......##.##....##.##..#..#...##.##..#.#.#.##...#...#........#.###..##..###.#..##..#...#...#.####.######..######.#.#.#.####.#.....###..#..#...#..#..####..#.###.#.##...#.###.#......###..#.##....#...#..##.#..##.#####.#..####.##....#.###.#..#..#..#.###.#####.#...#.#.#..###..#..#.....#..##.##.###.###....#####....###..##.#...##..##...#.#.#######.##......#....#.###..#..#..##.###..#####.##..#...####.#.##.#....#.#..#.#..##.##....#####...###..###.##.##.#....###.##.##..#...#.##.##..########.##......#..#.#..#.###.#.##.##.....#.####.#.......##.#.....##..#..##.#.#####..#.#.#..#......#####..#....#.#.###.#.#.#.#.##.#...###..#####.##.##.###.#.#.......###.#.#.##.###..##.###.#..##..#...#..#...#......####...#.###..###...###.##.######......#....###.##..#..###..####.####...#.##....##...###.####.#..####....#.###...###.##..##.#....######....##...##...#..#...####.###..####....##....#..#...........#......#..#..#.#.#..#.#....###..#....#.#...#..##.##.#..#####...#..........####...###.##......##....#...#...##.##..#.#...##.#.###....##.#...###.#.#.#..###...#.####.#...##..#####.##...#.....#..##.....####.##.....#.##.##...#.#.#..#.........#..#.#....##.#.#####......#.#...###.....##.#.#.##.....#...#.##.##.#.##.#.#.#.#.#.###..###...#..#..###.###..#.#.##.###.##...#...##....#...#.##..#.###.#.#.###.#.##.#...#.#....#...#.##.#.#....#.#.#..##..####.##.#..#####.##...###..#..#.#######.#...#.#.###.#.#.#.#.###.#.#...##.#.##.#.####...#.#....#.#..###..####...##..####...#.#.##.#.##..##.#..#...####....#..#.###..###.#.#.....#.##.###.#.###...#...#..##..###.#..#.####.#.....#....###.....#.##....#..##....####..#.##..#.#.##..#..#####.#.#.###...#.#.#.####..##.....#..#...#......##.##......####..##.#.##.####.##.....##..#.......#....#.#..###.####.#.............#.#..##.#..##.#..#####.#.##....#.#.#.#.##.##...#....#.####.#.#.##.######....###.#..###....#.###.#..###..####..####..#.#.##..#.####.#..#..#..#.#.##......#..#..##..#..#..#.
.###..#.....#########.#.###.....#.#.##.###.#....#.#.#.##.....#.#.###.##...#....#..##..####....##....#.###....#####........#...###....#..#.##..#.#.##......#.#...#.###...####...######.####.#.#.###..##.##.#..#..#...#..#.####.##.#.#.....#.##...#..#..####.#.#....#...#..##.#..#.##.......#.##..#..##.###.#..#####.#.#####.###..####.....#.#.#.####..#..##..#...##.#..#.#.##....#.##.##.#.##.#..##.#.##....##..#.##.###.#....####.#.#######..#.#...###.##..#.###.....###.#.###...#.#.##.##..#.####.#....#.#....#.##.#...#....#...##.#.#.#.#.#..#....#.###.#.#.########.#.#.###..##.#.#.#........#.#..##.############.#..##..####.#####.#####...##.#..##....#..#..#.###..##..###.##..##...###.#..##.#..#.######...###.##.....###.##...##...#####...##.....###..######.#.#####.####.##.####...#..#####..##.#####....#....#.##.##...##..##..##...#..#...####..##.#.###..#.##..##.#.#####.##.###..#...##...##..#####.#..###.###.#..###.#.###..#..##...##.#..###.#.##..#..#####.###.#.##..#####.##.###..###...#..####.##....######..#..##....#...#..#...######.....###..#..###...######.##...##.#.#####..##.#.##.#..#...#..##..##.....#..#....#.#..##.#.###.#........##.#####.#.#.###..#.##..#.##...#..#.#.###...###..##..###..#.#...#...##.#.#.#..##########.#...###....########.#..##.###....#.###.##.#..##.#.###..#.#..#.##..##...#...###...####...#..#.#..##.###.#..#..#...###..##.#.###.#..##.#.###.###.#.#...##.###.#.####..##.#.#.#..##.####........#####....#.#....##..#.#####....##.#.....####.#...##......#..##..#.##..###.#.#.####.#.....#..##.#.#.##.#...#..###..##.#.#..##.....#.#.##..###.#.#######.....#..####.###.#....##.##...##.#.##.....##..###..###.#..#.##.#.##..#.#.#...#.#.##.##......#......##.#.##.#.##..#......#.##.#..#....##.##...#...###.#..#...#.......####..##......###..###.##.####..##.##........##.#####...#.####....#####..#.#..#.#.##.#.#..#.##....#....#..#..#..##.....###..#.#..#.##...#.####.#.#..##.####...##.#.##.##.#.#..###.###.#..#.##.###.#.....#######..#..###.#.####...###..#.#...#..##.##.#.##...##....#.#.....#.##.##...#....##...##
###....###.#.....##......#.##....#########.#..##.#.#..##.####.#..#.#.#..#.#.#######..####..#.#..#.###.##.###..##..####.....#####.#..#######.######...#.###.##.##....#..##..###.##.##.#..###.#.######.###.###.#.#.....#..##..#.##.#..#..#..###...#.#.##..#.##..#########.#.#..#.##...#.#.#.#.#.#...##....#.#.#...#.#.###.#.#####.#.####.########.....#....##.##...#.###..#...#.#####...#.#.####...##..#####.#..#....##.....##...#.##..#.#.###.#..###.#.#...#..#.#.###..#.#.....##.##.#.#####.##..###.#...#...#.#...#.#..##.#..##.##....#.#######..##...#.##...#..#.####.#.##...#.#.####.##..##.##..#..##.#.#...#.##..##.#..#.#####..##..#.#.#.#...#...#.#.#..#....##.#.#..#.#....#....##...#..##...###.#.#......#.#..#.##.#.###.#..#.#..##.##..#.#...###.#.##.#..###.###.###..##.###.##....#.......##.......###...###.###....####.#.#.#.########.###..###...#.#.##..#..###.#...###.##..###.#.###.#.###...###..###.##..#.#.#..##.#.#.#..#.#..#.#..##.####.###..#..#...#..###.#.######.....#.###....###..#.##.####......#....##.....#...##.##..#.#..##..########.##.##.##...#.####..#..#..####..#.#.#.##.##..####.######..#..#...#####..#.#...#.####..####.######.#.#.....#####...###....##.##.###..####..#####..#.###..#.#.#.##..####.####..##.#.###...#..####....######.#.##....###..####.#...#.....#.#.#.#.#..#.##...###.###..#..#...#....###...#..##.#..#.#######......##...#.####.###.#...#.##..##.....#.##.##.##..####..#..#..##.##...##...###.##..#.#######.#...#..##.###...##.###.#..###.######...#.#.##.#....#####..#.###...##..####.#..###..##.#####.###....#...#.#.##..#.#.#..####.####...#...#.#.###.#...#..###....######..#...#...#......#...##.#.#.......#.#..#.......##....###...##.###.###..######....#.#...###.#...#..#.##.#..##....####.....######..#...#.....#...#..#.#....#..##...##.#####.#..###....##.###.##.#...#...#.##..#.##..#.....#..##..#...#..#.###.#..##..#.#####.#.#.#...#.#...#.#.####..###.###.###.#....##.##..#.#....#####..#.#.##..########..##...####.#####..#.....#..#.#.....#####.###.#.##.#.##..###..##......#####....##.##.##...###.#.#####
.###..#..#..#####.#..##.#..####.#..##.#.#.##.#......#..#.#.####..##.##.#..#..##.#..#.........#...##..#.##..#..#..###.#...#.##..#.###.##..########.#.#...#.#.#..#..#.###..#....#####.#####.#.###.#..#....###.#.###.###.##...###.#.###..#.####.#...#.#....#..#..#.#.#.#.##.#......#.####.##..#..#...#...####........#...###.#.#..#.#....#..###.......######.#..###..#.#....###.#...#.##.#...###.#..###..#...##.#....#.#..#..###.#.##.##..#.#....#.#...##..#.##.#.####.#..#...#.##..##..###.#..###...#..##########....##...#..#....####.#.#.##....#.#.#...#.###.#..##.....##......##.#..#.##.#####.#.#....####.###..##.###..####.#.###..#.####.#.##.#.##...######...#....###.#..#..#..##.##...#.##.#.#.##.##.##..#.#.#..###..#...#.####.#.##.##.#...##..#.#.#...##..##....###....#...#.###...###.##.#.#..###..##...##.#.##.##..##.####.#.#..###.##.#.####.#.#.##.#.##..#..#.#..#..##.###....####..###.#.....####.#..##.....#.####.#..#..###.#...####....##.####..#.#....####...#.#.###...###..#..#....##.###..#..#..######.#..#####.#...##..#...#.##..#.##.#.#...#..#..#.#..##.#...#........#..#.#.####.#...#....######....#.###.#######...#..##.##..##....#..#..##..#..#..##.##.#####..###...##..#.##..###..#..#....#.##.#.###.#.#...#...#.#######...#......#.#####.#..##....#......#.#..###.###....###....#..##.#.###.##.#..##..#..#.####..##.#.#...#####...#...#.#.....###.##.#.#.#...#..#....###...#...#..####..#.####..#..#..##.###.#########...##....#####..######.###.##.#..#####.###...#.#...#..##.....#..####.####.###.#.....#######..######..#.###.##....####.##...#.###..#.#.##.#..##..#.#####.#.#..#.#.#...#....###.....#..##.#.####.###.##..##.....#######....######...##.#..#.#.#####.#..#...###..##..#.....##..#.##......#.#####.#....##.#.#.#.###.#.#.#.####..####.#....#.#.#..#.#.#.#####.####..#####.####.....#..#.##.#....#.#.......#.###...#.##.##.###....#...#.####..#.####...######...###..######..#.#.##.#.#..#..##.#######.#.##.######..#.##..#.##.##.##.#####.#........##..#...#.#.#.#####.##....#..#.#...##.#.###...##..##.##.#...###.###....#..###.###..
#.#...#.##.#.########.##..#...#..###.#..#..##...##....#...###...##.#.#####..###.#####.#.#....##.#...#.#.#.#..#####.##....##.#...##.##.#..####..##..#.##.#..###.#....##.#...#...###...#####..#####.....##...######.#..##.####..#..#.##.###.#.#.###..#.#.##..###...#..#.#####.#.#.#....###..##..#.##.#.#.###.#.##...#.###..##..#..###.##..##...#.#.#.#..##.#..##.#.####.....#..##...##.......#####.##..#..#########..##.#..#.....#....#..##.#..#.....#..##..##..#.###.#....#...#...#....###.###..#..#..#..#.#...###.#.#.##.###....#.#....#.#######.##..#.##..#..######.#......###.##.#...##.##..#.####.###....##...##..#....##.#.#####.###.#.##.##.#..........####...#.##.##..###.#.#.#.###.##...###......#..##.#...#..####.####....#.###.####.....##.#.#...##....#.##.###..#.#..##..#....#.#.##..#####..##......#.#.#.##.##......####..##.....#.#..###.#...####.#.....###..#.##..#..#...#..#####...####.......#.###.#.#.#..###..#.##.##..###...#.#.#....#.##.##.##...##..#.#.#.#...##.##.####.#....###.####..##.##.#.#.#.##....#.#.#####.###..#..##.#.#.#...####.#.#....###..###.########..#.###..#...#..#.###.##.#.######.###.###..##.#...###.#.##...###..#####..##.###..###..#..#.##.##.##....#..#.#.##..##.###.#..#...####.#.###.#....###########.#..##.#.######.#####..##...#..#.##...#.##.####.....#..#.#..#.#...##..#.##...##.###......##...#.###.####.#.##.##..###.#....#.#.........####....#.#.##.##.#.#..#..#..####........###.#.##.#.#....###....######...##.#..#..##..#.##..#.#.....#...#.#..#..#.#..#..###..##.#..###...#.###....##..#.#..##..#.#..#.#.#....####..###.##..##.##..##..#...##..###.##.#...###.##....##.#########..##..####..####.#......##.#..##.#####.#.#...#..##.#####..#...####...#.##..######.#...##.#.###.#.##.#....##..#.#.....#..#####....#..##.#......#.#.##.##..#.#..#........####.#.#....##.###..#...###...##..###.##..#.##...##.#..###...#..##.#..#.####..#.###....#.###.##....#####.#...#....#...#.##.#######.#..#...#..##.#..#.#.##......###.....###....#....#...######..######.#.#..##.##.#.##.###...##...#.......##.#.##.#.#.##..######.
.#.##.#..###..###.#..#....#.#.##..#..#...##....##....###.....#.##...#....#.####.#.##.##....#...#.#.#######...##..###...##.#.##...##.####.#.....#.#...#.#.###.#####...#..######.#.#.....#.#.##....##...#.###.##.......#..#..######.#.#.#.#.#.....#.#.####..#...#..#.##...####.###....#.#.#...#.....#...####..#..##.##..#.##.#..##.#..#....##.#..###.#.###.#.####.##..#####.##.#...###.#..##..##...#.##.#.##.#.#..#...#####..#...##.##.#..#.#..##########..###.###....####.##....#.###......##.####..##.#.#...##.....#.#....#..##.#...#.####.#.####.###.###.#.###.##.###.#.#.##.....#.####.##....#....#.########....#.##.#######.#.#.....#.##..#.#.##.#.####.##.......####...#..###...#..##.#..#.#.#..#.#.####.#.#..#....####......#.###..##.....########.##.#.###...##.##.#..##..#.#####.##....#....########.#.#.#.#.####..#..###.#######...###...#.##.......###.#####.#....#....#...#...##.#.#####.###.#..###...##.##.....####..##...##..##.....#####.######.##..#..###...##.#..##.###...#####....##..#..###..####..####.#.#.....#..#.#..##.#.##..##.......######..#.####...##.##.#..#.#.....#..#...#..####.........#.###..##..#.....#..#..###..#..#.###.###.#...##...##.#.##..#####.#.#.##.#.#######.###....#.##......##.#.######...#.###..#.###.##.#..#..###...##.###..#.#.##....##...#..##..#####.##..#..#...###.###..#.##..##.####....##.####......#.#...#.####.##.#..###...#..#...##..#........####..##....##.....###.#####....#.##..##.#.###.#....###.##..##.##.#.##....###...###.#..####.##..#.##..##.###.....######.##..#..#.###.##..##..#.....#.#.##.#.#...###..##.###.#.##..##.##.#.#....#.#..######.#.##.###.#####.....##.##...##.###..#.#...##.#.#.#...##.##..#..#.#...#..#.#...######.#...####.#.....#..#..##...##.#....#.##.#.#...##.##.###..####...####..#.#...##..##..####.##.###.##.##.#...######.#.##.#.#.#...####...###..###..###..#..#..#.......#####.###.#.#.#.##.#.#.#...###...#...#######.####...###..###.#.#..##.#..#......#.#...##.####.#######......##.#.#......####.#..###.#..###....#.##...#####....##......#...#..####....#..##..####.#.#...###..#.
..###..#..##.####.#..##.###.####.#..#..#####...#####.#...#.###..#.####....###.###..#.##..#.#..###.#........##..#...#.#..#.#.#...##..#..#..#.#.#.#.#...###..#######...###.####.#.##..#....###.#....###.#######..#....###.#.#........#.#..###..#..#...#...##.###.#......##..#####.####.#.#.##..##..#.##.#..#.###.###.#..##..#....#####.#...####.###..##.#....#...#.########.#....###.##..###......#.####.#..#.###.##....#.....#.#######.##......#..#.######..##...#####..#####....#..####.......#.##...#####.#.#.##....###.#.#......##..###.#....##.##..#.#....###.#######.#####..###..#..###.#.##.#..#...#....##.....##..#....##......#..##.#.#...###.#.#####.###.#...##..###...###.#.#.....##..#.#..#.#.#...##..#.#..######.#.#..#.##...##..##.####.#.#..#.#..#.####.##.#..######...#..##..##..#.#.##.###.#......###.#.#.#..#..#.#..#.####.##...##.#.#####.###.#...#.##.#.#...#.#.#.#..#.#####.#.....#####.#..##.#######....#.#.....###..#..#.#....#...#.#..#.######....#....##.##.#.###.#..#...#.#.###.######.##......#.###...##.#..#####.###..######..#.###.####.#.#...#..#.###.##..#..#.#..#.##.##..#..#.######.##..##....###.#...##...#...#.#...#.#...#..###....###.####.##.......#..#.######.####.##..#.##....##...##...##.#.#.##..###..######.....#.....###.#####.#.#.##.#.#.##.##.....####..###.#.##...###..#..#.......#.#.##...#..........#...#..#.##.#.#.#.#.#...####..#.#...#.##..#.#......###.#.#..#..###.#.....#.#..#.###....#......#...#.#..#......###.#.###.#..##....#.##.#..##.#.#.#.#..###.#.#....###..##.#.##..##..###.##..##....##.#.....#.#..##..#######.####.#.#.###..#..####.##..#.##....#.##.#...##.#....#.#..#...#.#..#.#.....#.#.#..#...#...###.###.#..#####.##.......#.##.#.#.....#....#.##.####.#.#.#.#...#....######.#..#.#..###.....##..#...#.#...###..#....#...#..#..#..#.#..##.##.......##.#.......#..#..###.##.#.#...##..#..#....##...#...##.###.##..#...#.#.##.#####..####..#.##..######.#.#.####..#..#..##..##.#...#..#....#.##....#.##..##.##..##..#...####.#.####...##.#....######.#...#..####.#.#.#...##.#.#.######.###.#####.....#..#.#...#
#.##..###.##.#.####.....#..#..##....######.#.##..#...###.#..#.#.###.##.#..##.#..#..###.#...####.##.##...#####.#.#....###.#..########.#..##...#.#..#.#####.###..###.##.###.##..###.###.##..##.#..####.#...#...#####..##...#..###...###.##.#####.....#...##...##.###.####...#..#####.###..######.#.#####.##...##.##....#..##.##.#.##..#.#....####..#...##.####....###..#.#..#..####.####..#..#...##..#####..##....########..#..##..#.#....#..#####....#.###.###.###.#.###..#.#####...#.####.##.#.#.#.#.#.#..#.#.#.###.##.#..#...###...#.##....####.#.#.#.#####.#.#..##..###.######......#.######.###.##.#.##....##.##.#.###.##.#....##..#.#.#....##....###.#.#...#..#..##.#....#.#..#..#.#.#####.#..##..#..#.#.#..#...######.#.###.##.....#.......###.####.##.#.###......#####.####.##.#..###..#####.#..###..#####.#.####........#......##...#....###...#.####.#.##..#.#..#########..##....#######.##.#.#..######...#.#.#.###..#.###....#.##..###.#.###....##.#..###.#####.###.####.#...#.#..#.#..#..#..##.##.#######.##....####.##.##.#..##...#..#.#..##.#.#....##.#....#.#..#.##.#####...####.#..#..#.#####.###..#.###..#########......#...##..##.#.#.###.....#.#..##.#.##....#..###.#..##....#.##....#.#.#.####..#.######..##.#.##.##.#..#.###...##..#.####.#..#..#..####...###...###.....##.#..#..##..#..##...#.##.##.#..#.#...##..###.#.#....####..##...#....#..###.###...##.##....##..###.##...#.##.#....#..#.##..##..####....#.##.......###.####......#...#.####.##.....#.#..##.#..#..........#.###..#...#....######.#..#....#.#...##..#.##.##.###..#......#.###.#.....##..##..#.#..#.......#..###.##...#..##.......##..#..##..###.#...#.##.##..#.###....#...##.###.#####.##.####...#.#....##.###..#....#.#.#.#..#.##......#.##.#..#.#.....##...#.##..#.###.###.#######...#.#.#.#......##.##...#.#...#.#.#..#....#...#.##.####.....#.#....#.##.##.####.###...#.##.#..#.#####..#....#.##.#####.###...#..###.####.#..#.....#.##.##..#.##.#...##.###.##..#..#####.#.####.#...##.##.....###.###.##..#..##.....##.##..#.#.##.##.#.##...######...####.#..#.#....#.##..#...######.
...#.#.###....#.#..#.#...##..##.#.#.###..#...###..####.#.#..##.###....#.####.#.#####...#.##....###.#...#.#...#...#.#..##...#.#...##.##..###....#.##....#.....#..#.#..#.#....#...###...#...#..#..##..#.####......####..##...#.#.####...##.###.##.#..#.#.#....##..##..##..#.#..#...#.###....####.#..#.....##....#..##..#.....##..###.##.#.....##.#....###.#........###..#..###..##..#..#.####.#...#.##..#...###.#......###..#######..##.###.##..##.###...#..#....##..##..#.##....#.#..####...####.####..##....###.###.##.#.##.##.##......#......##...#####.##.#####...#.#####.##.##.#...#....#..###.....#.#.##..##.##.#...#..###..####..##..############..#..#...#.#..##.#.#.#.#....###.#.#..####.#....###..#.#...###......##..##..######.#...####.##.#.#..###..#########.#.##.#.##.#.##..#.###....#.#......###.#.##.####.....#.#.###.###.#.....#.#.#.#.#....##.#.#..#####.#...##.#..#..##..#.####...##..##...##.###.....#.#.#..####...#.#.#...##....#...###.##.##.#...#..#..##.#.#.##.##..####.#..#..#.##.#...#..##...#..#....#.##..#.#..#..##.###.###.#...#.#..#.##.#.#..##.#.##..#..##...####..#.#.#.##..##.#..#.#######..##.#.#......##..#....####..#.##...#.##.##..#.#..#..#.#.#.#..#.##.....###.####..#.####.###.#....###.#..#...#.#.#.#######..#.#....#....##...#######.#.#.##...#.##..###..##..#.######.....#.######.....##.#...##..##.####.#....##.#.#.#.#.####...##.##.######..##.#####..#.###...####..#..#..##...#...#.####.#.#######.###....##.###.##.#####.#.###.#.#....#.###...#.....#..##.#...#.#..#.#.##....##.##...#..##..##....##..####.#.########.#..###..##...###.....#...#.##...##.#..###..#..#.....#.##.##..####.##...#.##..#.##.#..#.##.#.....#..##...#.##..#.#..##.#.#..#####.##.#..##..##.#....##..#..##.#.#...##.....##.####.##.#...#...#..#.#.#..#...###.##.#.....###.....##.###.##.###.###..##..##.####....##.#.##..##.##.#....#.......##..#.#.#.##..####..#..##.######.#.#.#.#.#..###.#..##....##.#..####.#..#.##....##...##.#...##.#.##.#####.###...#..#..##.##.###.#########..#..#.##.#...###.#.##.#.######..#...##..##.#..........#.#......#...###
...###...##.##.#.#......##.###..##..#####.#....##....##.##########.##.##..##.#.#.#.##.#...#..#.####.#..#.####.####.#..#.#...####.##.#...##...#.######.##..#.#.##.##...####....#.#.#..#...##..######.#.#.#...########....#.#.#..#.##.#.#.#...#.##..#..#...#.###.###..##....##..######.##..#..##..#.#..###..#..##.#.###.########.#..#..##..#....#.#####...#..#..##.......##.##.###...###.#...#.##.#####.#.#.....####.#.#.###..###.#.#........#.#.....#.#......##...#####.#.#########.###...#..#.######.###.######.#.###..#...#.###..#...####.#..#.#..####..#...#.##.....#...###..##.####.#..###.....#....#..#..#.#...#.##.#.#.#..#.#.###....#.####.#.##.###.#...###...##.###..#.######..#.....##...###.###.##.###...#..#...#..#....###..###.#..#.##.#.#..###.##.#.##.####...##...####....##.###.#..#..###.####..#..#.#..######...##.#.#.##...##.##.###...#.#.##...#...###.#..#.###..##..#.#.#...#..#....#..##.#...####..##..##...#..###.#.###.#.#.#.#....######..###.##.##...####..###.#.#.#.#..##.##.#...#..##..#..#######.#####..#.#..#.#.#.###.#...#...#.#.######..#.#...##.#.#.##.###..########.#.#...###.##.##..#.##....###.#...#..#.#..#.....#.#..#.#..#####.#..##.#.....##.........#..##.#...#.....###.####.##..#####...#........####..###.####.###.#.##.#.#....#.#####.....#.#..#.#..#...##...##.....##......#...#...#...#.###.....#..#..##.#.####.###...#..####..##.###..#.###..#..#....#.##..##.#####...####.##...#.###...##...##..###.#.###..#......#...##..#.####......##.#...#.#..####...##.####.#.##.##.###.#.##..##.##...#.######...##....#.#..#..####.#...#..#..##..#.########.#.###.#.#..#.......##..##.#.#...###....#...###......#.#..###..##.###...######.###.#.#...###.######...#######.###.#.#.#...#...###.......#...#.....##.#.########..#.#..#...#.#.#...##.####..###..#..#..#####..#..#.###.#####.#..##....##.#..#..#.#.....#..#.##.#.#..##...##.###.....##..#.#.....##.########...######.##.......#..###...##.....####..#.##..#.#.####...#.#.##.####.#..#..###.#...#.###..#...####..##...#.#.#.#.##.#..##.....##.....#..######...#.....##.#.......####...
...##.#..#..#.###..##....#.#.#.#.##.##.##.#.###.#.#.#.##.....####...##.#.#..####....#..#..#.###....#...##.####....#####..##..###.#.#.###.#####.#..###..###.#.#.##..####.###..#...#.##.##.###...#....#.#.###...##.......#.#.##..##.###.#.###.#..#..#.###.#####.#####........##.#..###....#...#.#.#...#...##.#.####..##.########.###..##.....##.#.#..####..##..#.#...#.##.....#..##.....#.....##.#..###.####..##.#..###.##.##..#.###....#.##......#..#...#...#.....##..#.##.##.......#.##.....#.##.....#...##.##..####.######..####.#...###.####.....#...##.##.#.#.##..#.#....###...##.####.##.#.#####...#..#..##..###....#.#.######.#...#.#......##...###..##....#...##........###.#...#.###.#.#..#.##...#..#####.#....##.#.#..#.#####..##.#.#.....##....#..##...#####.##..#..#..#.###..#.####.##....#....#..#####.......######.#.#.##.....##.#.#.##..###.....#.###...#######.##.#.#.#.#..#..#.##....##..###..##..#..###..#.####.#..#..#.#...##.###..#.##.#.#..........##......###..#...##.#..#...#####...#..#.........##.#####.#..#..#....##...#.####.####.##...###.#.#.#.###.#.##.#..####...##....#.##.#..##......###.#####.###.#..#...#...#...#.#.##.#.##..#.#.##...#.##.#....#..##.##.#...#.#.#..##..##.#.#.#.##....#.###.#.##.......##..#.##..###....##.#.#..#..##.##..#....##.##.###.#...#.#######.#.#.#.###.#.#.....##..#.##..#..#...##.#...#####....########..###..#####.#..##.####.#####.....#..##.#.####.#....##..##.#.###.#...#.###.....#.#.#.###.#.#...####.#...##.##.#.#..###.....###....#....#...###..##.#....##....###.##.###.........#..#.#..####..#...##...........#.#..######.#.##..#.#...##.#..#..##.#...#.####.#.....#..#.##...#.#.##...#.###.....#.##.##..#.##.##.#.####.##.....##..#.##..#...#...###.....#.##..#...###.###.##..##.#.##..##..##..####..#..#.###..#...#...#.###..#.##.....#.#.#.#..##.##..##......###.#.....#######..#####.....##..#.##.######...###...#.#..#..#..##....#...########.#####.####..###.#...#.....####....#.#...#.##....####....#.#####....##.#...#.#.####.#.##...#.#..#.##.###.##.#.###.....#..##..#.#.#.##.####..###.#.#.#....
##....###.#...#.#####.##......#.##.####.#.#....##..##.#.###..##..##....#..##..#..###.#.###.#.#.#....#.#.#########...##....#.#..####.###..#..#...#.#.####..##....#######..##.....######....##....#....#.##.#.#.#.#.#.##....####..###.##..####.##.#....#####.##.....#........##.#......###.#...####..#.##.#..#..#.#..#..#...##.#.#.###.##..#.#.#..###..###.#.#...##......########.#.#.#.#.#..##.#..###.....####.#.###.#.#.##.#..#.#.#.##.##..##.#.#.##.##.#.##.#.##.##.#.#....###....#...##.....###..#.#.##.##......#######.#.#...#.#..##..########.#..#..##.#...###.#..#.#...#..####..##..#.....#....##.##.##..##.####...#.##.#####.###...#....#..#.#.#...######.##......###....#.##......###..##.#.#...#....#..#..#..##..##.####.#.###.#.#.....#.#...##...##..#.#....###.#.##...##..#..#.#.##..#.###.#...##..##.##..###.##.#.#.#.####.#..####.#....#.#.#.####...#######.#.###.#..#..#....##.#.#...#..#.#.####...###..#..#.###..#.#.#.###.#.#####..#.##......###.#.#.#....##.#..#..##.#..##.####.#####...#..##.#.##.##..####.#.##..#######.###.##.######.###...##.##.##.#....##.##.#....####.#..#.###....#.#.#........#..#...##.#.......##..##.####..#######..##..##.....###.#.#....###..#...#..#.#....##.##..##...###.#.##....####.#.#.##..#.##.##..##.#..##.###.##.....#..##.....#..#.#.#.##.#...###..#.....#..#####...#.#.#...#.#...#..##.#########...##.#####....#........#...##..#...#.##..##..#..#...#####..#########.#.##.#...####...#..#.....#.#####..#.#..#......#...####.###.#.###...#.#.##..#....#.#####.#...##..##.##.#...#....#.#.#....#.#.#.#.####.#######...#..##.#.#.##..###.##..#..#..###.#...#....#...#.....#####..###..#....#.#.#..##..#..##.#.##.#.#######.#.....#..#.###...##...##..#..#....##.#.#.#..###..####.####.###.##.#...#.#......###...##.#.##...#...#....#.#.##.####.#.#.##.#.####..####...##..####.##..#.#....##..##.###.#.####.##...#####.##.#.#..##########.##..##########..#.###.#..#...###.###.#.#.#....#.#####.........#..#.#.####.##.##..###.#.#..##..##...###.##...#.....#.#..##.....####.#.##..##....#.###.##...####..####..##..##..##..##
#####.#.#.#.###..#####....##.##...####.##..######.#...###...###.#.####..###.##..###.#####..#......#..#.#...#####...##.####....###.#..##.....#...##.......#..#....##..#...###....#.###.....####.#..#.##.#######.##.##..##.###.##..##.#..###.......#.#.#...##....#.###.#.....###...##...#.###.#..###..#..#......#..#..##.##...###......#.##.##..#....##.#...#.##...##.####.#.##.#..###..#...###.##.###.##.#.#.#####.#.#..##.#..#...#.#######.#####..#........###.#...##..#..###.##...###.#..#..#.###.#.....#.####....#..#....#.##.###..#####.#.##.#..#..###.######.#..#.#.#.##..#.##.#...#.#.#.#.....##.....#..###.#..#####...#.#.##...##.##........##.#.##...####..#...###..####..###.#.#..#.##.#.#.####.####...#..##.##.#..#####...#....#.#.#..##..#.#..#..#.##..#.#....#.#......#....#..#.###.#....#..#.#....#######.###.####.##..##....#..##...###.#..##.#.##.####......###.#.#..#.##.##...#...########.#.#...#.##.##.##..###....##...####.#.#.#####.###..#.#...#.#####..##....##.#.##.###...#.###.##...###.###..#.##.#######.#..#####.#..###...#..###..####..###.#..##...###.##.##...#.....#.##...##..#.##.....#.###...#.#.##..#.####.#.#.#.##.#.#.###.......#####...#.#...###...#.#.#...##..#.###.#.###.###..#....###...##...##..#####..#.#.#####.####.#.##.#......#.###.##.#..#####.##..#....#...#.#..#.#........########......##..##...##.##...#.####.##.#..###......#..#.#..#.#.....#....##..####...#.#.##.####..##.#.#......##.##..#..##.#.#...##.#.##..###..#..#...#.#.##..#...##.....#.#....#..#.#.##..###..#..#.###.##.#.###.....##.....##.########.#..####.#..#..#..##.#####.#####........##.##.#.#.###.....##....#.#.#.###...#.##..#.#.....#.##...#.##.##....##.##..#.###.##..####.####...#..#..#.#.###...##..#.#.#..#.##...##.##...###..#.#.###.###..#..#.#...#...##.....#....#.#....#.#.##..###.##.#.#.##..#.#.#..#.#.###.##...#.#.#######.....##..##.......##.##..#...#.##.###.###.#.####..#.#.###.###.##...##...#......#######...##....##.#..#.#..#..#..#####..##...#.###........#.##.###..#.###.####...###.#..####.##..####...#..##.#..#...#.#....#.####..#..#
.#..##...#.#.####.#..#..##...##.#.#..#.#####.....#..###.#..###.##...#.#.#.#..#.####...#..#...###.#..#.###...#.#...##...##.#.##..#..##...#.#...#....###.###.####..#.#..#.#....#.....#.##.###....######.#..##.#####.#.##.##....#####.#.#..#.....#####......#.#.....#..#.#....###..###.#...#..#.##..#..##.####.###.....#######.#.#.###..#########.#.##.#.##...####.###..#..#.#####.#...##.#.#.#.###.##.#.#.....#.#.#.#.###.##..#.#...##.##..##......#..##....#...#######....#.##.#.#####.##.#.##...#.####.####.#........#.....#######...#.#..###........#.#..#..#.#..###....#.#.#.....######.#.##.#..#....#.###.#..#.#....###.#..#.####...#.#..###.#.#.##..######.###...#..####..###..#.....##.#..##..###.....####..##....###..#...##..#.#..#####.##....####...##.##.#..##.#.#.#...####.#.###.#.#.......##..####..#..######.#...#.####..##.#.###.##.###.###....##.#....#####..#.#.#....#..#.##.#.###..##..#.#...#..###.#....#..##..##.##..#.###.#.#.....######.###...####..###...###.##.#.........#.########..#.##..##.#...#....#.#.....#....##.##....#...#.#.#.#.##.#.##..##.###..#..###..#.....##..#.####.#...#...#..##..##..###.####..##.###...##......#.#...#.#.###...##.......#.##.##...##.#.#...###....##.###.#.##.#......###..#...#####...#.#.##.##.###...##..#.###..##.#......#.#..#...#..#.#...#...#..#.#.#..#.#.####.##..#....#...#..#..####...#.###.#..#.###.....#####..#.#.#.#..####..###.#.#.#..####.......#.#.###.###.##...##...#.#.#.##..##...##...#.##...##.####..#...###.#....#.#...####...###.#######.#...#.##..#...#..##...####.#...#.#.###.#.......##...####..#..##..##.#........#.###.######..##..##..#.....###.....#..##..#.......#..##.##.#.......#..#.#.....##..##...#.#..###.#.###.######..##.#.#.#...#.#.##..###.#####.#..##.#####..#.##.##...##.....##.#.#..##..##....#.#..##.#..###.#..#.#.##..##..##.#...####.##...###.#.###.##.##.#####.##.#..#.##..####.####.#....###...##.#.....###.###.#...#.#..##....##.#.###.###.#.##....##.#.###.##..####..##......#...#..##..#.#...#.##.##..##.#...###..###..####....#.....#.....##..###.##.####.#.#.#..##....
#..#.#....####.#.#.##..###..#.#####.##########.#.##.#.##.##.#.####..#..##..#.....#.#...####..####...###.#...######.#.##....##...#..###.#.##...........##.#####.##..##.####.#.....#....#.#.###.#.#...#.####..#..#####.##.#####.#.#...#....#.###..###....###..#.####......#####.####..#.....#######.###.#.##..#####..##.####.######..#.####.###.#..##.#..#.##..#....#...#####....##..####..###.....#.###.###.#..##...##.##.##.##...##...##.#.......##.##.#.###.#.#.####..#.#..#...###..#####..##.#...####.#....#..#...##..#.#.##.#######...##.#.##.#.#.#..#.#.#.####.##.#.#.###....#..######.##.#...#....####.#...####.#.#...#...#.##..#...####..###.#.#.###.#..##....###.###..##.#..####.####.##.##...##....#####..##......#...#.#.#...##.#..#####......#..#.##..##..###..##.#.##.##.#..####....#.#.####..##.#.#.#...#.#.#..###..#....##..##.###...##....#..#...#.####.###.#...#.#.....#.##.##..#.####.#.###..#....#.......##..#..##..#.###.#..#..#.##..#...####...#.##.##.#...#...#.#.#.#.########.#.###..###.#....#..####..###...#.#.....#.#.##.#.....#.##...#####..##.#.#..##..#....#.##..#.###....##...#.#..#..##..#.##..###..#.####.###..#....#..##.#..##.##....#####.##.#...##....#...##.###...#.....###..###..#.##.##.#.#.######..##.#...##...#.#..##.#.##.####.######..#.##..#......#####.#.##......##...#.##..##..#.#..#...#.###.####.......##..#.###..#.#..##.#.##...#....#.....###..#.#.####.##...###..#.#..#..####...####.#.###..#..#..###...#.##...#.#..##..#.###########.######......#...#.#..#..#.#.#.#..###.#####.#..#..###..#.....##.####...###.##..##.##.#.####.#.#..####.#...#...#.....###.##......#..#..##.#.#..#####.###..#.#####.#.#..##..####......##....#.#.#####..#.#..##.###.###......#.#.#..##.#..#.#.##..###....###..#.....###...##......#..#.##.#...#..##..##.####......######..#.###..###.#.##..#.#.#.##.#.##.#.#...#.........#...#.#.#.#.#.##.#....##.#..#......#.###...##.##...#####.#.#.###.#.##.#...####.#.#........#.##......#..#.##.########.#.......##....###.#.###....##....##..#..######.###.#....#.###......###.####.####.#...#....#.#.##
.#...#...#.#..#...#..##..##.###...#.#...##...##.#.....###....#..#..#######.#####.#.....#####.###..#.##..#.#..........#.#.##.##..###..#.#..#.##.##.#..#..#.#.#.###...#.#.#...#.#.##...#.#.####...#.##..#..##..###..###..####.#.....#..##..#...#..#.#..##...#......#...##....##..####..#.#.##.#.#.##.....####.####..####...##.#..#.#.#.#.##.#...#....##.##...#.###.##..#.##..##....#####.#..###..#...#.##..........##..#...####...#..##.#.###.###..##.####..#...##....##.#####.....####.#.######..#.#.#..###...#.#.....#...##.#...#.####.##.##......##..##..#.##.##..#.#.#.#...##...#.##.#.#.#.#..#...#...#..#.###..###...#....##.##....#.##....##..##....########.##..#.#...##.##.###..##..##.#.##.##.####.....#.#.....#.##.#..#...###....#.#..###...#####.#.##....#.#.##.#...####...##.#####.#####..####..##..#..#..#.##..####.#...#######...###.##.##..#.###.###.#...###..#.###..#...#..#####..#.##.#.#...#.#...#.##.#....#...#.###...###.#.####.#...#.#..#.###..####..#..#.......#..#.#####...###..##.......#..#...##.#...##.##...#......#...#####...##..##....#..##.#.##.#.#......##..#####..###..###.#.##..#..##..#.#.##.#####..##...#..##..#.#......##..##.#...##...#####.#.##.####..#.#......#..##.###.#.##.###..#.###.....######...###.##..#.##...#..##...##.###.#...##.#.#..##....#...##.#...#.##..#...#.#...#...#.##..#....##..#.#.#...#..#.#...#...####.#####.####..##.#.....##.#....###.##.#.####.##..###.#..#.##.#.....#.###.#.#.##.##...##.##.###.#.##.#.#..#.##.###..#.##..###..#.#.##.#####.#..##.##.....####.....#.....######...##.#..##......#......#.#.##.####.##.####...###.######.##..#.##.####.##.#......#...#.##...#..#....#.#.##.#...#####.#.##....####.##..####.##.########......#.#.####.######..#.#...##..#.###...#..####.####.##.##..###.#.#.#..#####....##.###..#.##.#.#..###..##.########.##.##..##.#.##..####..##...#..#.###.##.##.#.#..####.#####..#...#...#.##.#...#....###.#....##.#.##..#....#.#.##.#..#.#.#...##.##.#.....##.#..#..###.##.#######.#..##.#.#..##.#.#.##.#...#.#.#.##.###..###...###.##..#.######.#..#.#.###....#..#.#.###..#..
.##.#####...#.#####...#.#..####.####..###.#.#.###.##.#..##.##..#..######.#.........###.#..##..#....##..###..############..#...#.#.###...##.##.#...##.##...#.####.###.########.#....#.#.##.......#...##.#.##...#...#.#..##.#.##.....#.#####.###........######.###.......#.#.#...#.##.#.#####.##....#..#.#.....##...#.#.###.##..#..#.#..#....##.#.##..###..###...#..###.#..#..##.#....#..###.###.##.......#####.####...#.##..#.######.#.#######.##..#.#.#...#....####.##.#########..##...###.##....######....#..#.....#...##.#..#.#..##...####.###.#....##.####..#.##.#.###...##.######.....####.##....###..#.......##.###..#.#...###..#######.#...#.#.#...#.#.##.#.##.###..####..########...###.#...##.#####.#..##.#.#..###.##.###..####.#.#...##..#..###.#...###.##.##....##..#....#.##.##.....#.####.#.....#.##..##..##.##.##.###..##..#######..#.#.##......#......####.#####.#####...##.#.#....###.##.....##.##...#.##.#####.##......#...##...##....#.#..#########.##.......#..#...#########..#####.#...#..#.####.##......#..#..##.#......##.###.#.#..#####.###....#..#...####..###.####...#.....#.#....###.#..#..#.##.####..#.....#.........#.##..#.#.#..##..##.##.##..##.#####.#..#..####..##.##..###.##.#...#.##..###.#...#.###..###.##.####.#....#...#.#####.######.#.##.#.#..###..#..#.###.#.#...####.##.#.####....#####.#.#..#####....#.#.#...##.#.###.###.##.##..##......#.#..###..#.#.#.#...###...##..####..###..#.##.#.....##....##....###..##...#...#.##....#..#.##.#..#.####.#####.#.###.##..#.##.#.#..#.#...####...###..#.#..#####.#..####.###..#####..#####....##..#.####......##..###..##......#...##.###.#.#.#.#.#..########.###.#..####.#...#...###.....#...#..##.#.##..#..#.##.#.#...#.#...###.##.##.#...##..##..###.####....####...###.....#.##..#.####.#..#..#..##.#...#..####.##.##.....#.#.#...#.#..#.####.#..#.##..#.###..###.....######.#..#.#.#.#...#..####.....##.#..##.#..##..####..##....#.#.#####...#####....#..#.#.#.###.##..#..##.#..#...#.##.#...#..#.#####.#.##.##.#..####..##...#.###.#...#.#.##.##.#...#..#.#.#..####.....#..###..######...#
##.......###.#..#.#.#.##.##...#...###.#...##.#..##.#.#..######.##.#.##.#.###.###......#.#.###.#...#.#.#..#..##.#####........##..###..###.##.#...#.####.##..#...##.#.#.####.#####.##..##.###..##.##.####...#.###..###.##...##..##..#...##....####..###.####.#..####.#####.##......#.#.####.#.#..#...#####.#.#.#.#...#....#....###.#.###.....#.##......#.#..#.#.###.#.#.#.##.#.#.###.#.#..#....#.#.##.##.###..#.#.#..##.#########....###.##..#......#.##.......#.####.#.###.#....####.###..#####.##.###....#.....##.....#..####.#..#.#.#.#..#...#....#####...#.####..####...##....###.#..##..#..##.#...###.....#.##..##.#.#..##.##.##.#.##.##..##....#.#.##..#.##.#.#############....#.#..###.####..##....#.######..##..####.#..####.#.#..##.###.####.##...#...########...###.##.....#####.#..#...####...###.###.#..#......#.##..#.#......#..###.####.#.#..#.#.#...##......#..###.#.###.#.#..##..###.#.....#.#.#..#.##.####....#####..#####.##.#..##....#.###.#....#.#.#.#...##.#...#......####..###....###.#####.....#..#..##.#.#..#####..#.....#.#.##...#..##..###......##.####.#.#.##.#..##..#.###..#...####....###...#.#.######.##...#..###.#....#.#..###.#.##.####.#......#..#.###.#.#.##.#.#.#.#.##.#..#..#.#.##....####..######.##.##.##.#...###..#.#..#...#.#.....###...#..###....#.##.#.###...#.##......######.....#.##.####.#...##...#.#....##.#..#.######.#.#.#.#.##.#.#..#.#...#.##......#.#.#######.#.#.#.#.######......###..####.....###...#..####.##..##..#.##.##..####.#....##.#.#..##...##..#.#..#..##....#..###..#.#.##.#...#####.##.##..#..#..#..#......###.#.###.######..#####.##..#.##..#..#...##.#.##..#...#.###.....##.##...##.#.....###.#.#.............##.###....###..###...##.##....#...#.#.#.#..#.#..#..#.####..#..##...#.#.#.#..#..###.####.#.##...#####.#.####.#..#..#.#.#....######.##....#.#.#.#.##...#.....###.###.##.##.##.#.#.#...#.#####.#.#.#.##...###..#.########.#.#.##..##....###.#.#..###...#....#..#.#....#...#.####.#.####...#....####...###.###.#..###.#.##..#.##....#.#####.#.##.....#..####.##...#..####..#.##.##.###..#.#..#.####.##
.###..##...#..##.#...#.##...####.##.#.....##.#...###.#..#.#####.##.#.##.........#...#..###..###.#....##.#####.#####..#.#.#######.###.#.....##.#.#...###.#.#..#.#.##..##..##...#.#..#..###.####....#.##..##.##..########...#...#.###.#.....#.#.###..#.####.####.#.#.#.#..#..#...##.##.##........#...##..#....###....#.#..#.###.#.....#...##..#....##.#..######..#..#.###.####..#.#..#.#.#..#...#.####...##.##.#....####..##...#....#..####..####.###..#.#...#.#...#.###....#.##..####.###.#....#########.###..####.#.#.##....#.###..#.##..##.####.#.#.##.##.#...####.#..#..##..........#.#.#######.####.#...##..#.#.#.##.####..##..###..#..#.##..##.##.##....##.##.#.#####.#..####..#..##.#.###..##...#.####......#.#.#....###.###.#####.##.#####...##...###..##.####......###.#..##...##.###..###.#.####.#####..#.#..#....#..##.##....##...#.##..###.##........#.##..#.#...##..#.##.......#.......###....#.##.#..#.#..###.###..##.#####.#.##..#....#...........#...#..#....#.##.###..###.###..#...##.#.#.#.####.#..#.##.#.#..###.#.#.#..##.#....#..#.##.#...#.#.#.....#.#..##.###..##....#..#..##..##.#.##....##..#.#######....###.#..#.#.##............#.##...#.....###..#....##..#.#.#.##.#.##.###.#...##..######.#..##.##....#.....#..##...##.####.##...#.#.##..###.###......#..##....##.#....####....##..#...#.##..##...#..###.##..#.##....##..#.##.#..#####..#.##.#..####..#.#####.###....##.##.###.#.#####.##......#..#########...#..##.##.#.#....#.....##.###.#....#..#.#..##.#.###...#.....###.##....#...##..##.#.#.#..#####...#.##...#..#....#...#....####.#.#.##...##.#..#..#.###..##.#.....#...##.###..#.#...####.####..######.##..##.######..##...###..#...#......#.##.###.#..##.....#...#.#..#.###...#....##.######.#.####.##..#..#..###..#.#.##.#.#.#.#.#......###...##.###.#.......#...#..#....###.##.##.###.....###..#.#####.##.#..####...##..####.....##..#.###....###.###.##.#....#.##...#..#.##.#.###...##.#..#..#.#.###.#.#........###.##..#..###.##..#...##.###..##.#.###...##.###.##..####.##..#.##.#..#######.###..#.##.###.###..####..##.#...#.##.#...#.
##....#####.#.#..##......#.##....#.#..#.#.#...##....#######.####..##..#..##....##.#.####...##.##..#.##....#..###...#.##...##.#.#...#.#....##.##########.####.......###.#.###.#....#.....##.##.#..####....#..#.######.#...##..###.##.##.##.#.#....#.#..#...#..#..####.##.####.#.##.###.#.#..#.###.#.####..###..#...#...#####.##.#......##....#.##..#.#..##...###....#.#..##.#...#..........#.##..#.##.#......##...###.#.####..#..#.##........##..#####.##.##.#.###.#.#..#..##..#####....##...#.#.#..#.....#.#.##.....#.#......##....#.#.#..#.#....##..###...#...#..##..#...#....#...#.#...#.#..#...##....####...###.######.##.######.##.#.....###.#.#.#.###..#.#...#.#.###.##.#..####...#.#..##..#.#.#########..##..#.#.##..#..##......##.#.#.#.###..########..#..#######....##.#.#...#..##...##...##..######.#.#.#..##..#..##..#......##.#.####.#.###.#.#..##..####.#.#.##..###.#####....#.#...#..#..###.####.##.##.......#.#.#.#......#...##..###..##..##......####.##.##..###........#####.#.#.#..##.##.#.....####..#.#.#..#.##...#.##..#..#########..#.....#.#..##.#.##......#.#...#.#.#..#.#.#.#.##..#...##.#.#...#.##..###.####.#..#.###.....#..#####..#..#..#...#.#...#.####..#..#..##..#....#####..#..##.#....#...#...####.#..#...#.##.#..##...##.#.###....####.#..#..##....###.#####.#.#...#.#...##.#.##..#.#...#.#.####..##.#.#.#.#.#..####.#..###..##.......#.###.#.##.###..#....##.##.###.#..##.####..#..##.#...###...##.#..#.##.#..#..###.....####.#..#....#.##.##...#####.####.##.#.#..#..#....#..##..#..#..#####.############.######.#..####....##.##....###...#.#...#.#....#.##..#.###........###..#.#..####.###...###...#...#..##.##..#..##.#####.##....##..####.#..###.#.###...##..#......##..###.....#.###..#.....##.#...#..#.##.#.##.#....#..#.###.##...##.#.#####...##.....##########..#.#.##.#.#...#.........##.##.......###.#..##.##..#..####..##.#.#..##.###..#.#.#######.##..###.##.#.......#.#..#.#..######.#.##..#.######.###.###..##..##.######.#......#.#...###.#######..#...#....##...###...#.####...##...#.##...###.#..###..#..#.##.#.#..#..###.#.
#.#####....##....##.#..#.#.....####.......##.#..###..###..#...##.#......######....##.#.##.####.#.#.#.....###.##..##.#.....#.#####.#.#.###........#...#.###.####.##..##...#.#.####.#..##.#...######..#.##..#....#..##.##..#.#.##.#..######....####.....##..####....#......#.#.#.####..##..###..#.#.##.....##..#.##....##.....#...##...##...##..##.#...##..##..#.###..#.#...#.####.#.##.......#..#..#.##.#.#..##.######.####..#...#.#......###...#.#######...#.###..##.#....##....#####.##....##.####.#.....#...#.#...#...#....##..##....##.#.#..###..#..#...##.##..##..#.##..##.........#..##.##.#..##.###.....#..####...#..#...###.##..#.#...#..#####..##.#.##.#.......####...#..#.#.####....##.#....###.#..##.#.####..#..#.#....#####.....#######.###..##.#.#.#...#...##..##.#..##.##############..####..#..#.#.##.#.##...#.###..#.....#.###.######..#.####.##..#.##.##....#####..###.###....#...#.##...#.##..#.#....##.....#.######...###.......#.###.###.......##.####........##.#.###..#.....##.#.##..#..#..#.#...#.##.#.#.#.#.#.#.....#.....##...##..#.#.##..#.#######.##...#.#.#..##..##.#.####.##..#...#.#####.#......#....###..##.###.######...##..#####..#.##...#.#..##.#.#.#....##.#.##.##.#..##..#..#..........##.....###.###.#..######..#.#.#####.#.###..#####.#.###.#.#....#.###..####..#....#.#####.#.....####....##.#####....####..#..#.#..##.###..######.#...##...##.....#.#####..##.#...###..####.#.###..#####...##..#.#.#.##.##.#.#.....#.#.##.##....##.#.#..####.###.####..###..#.#..##.#.#..#.#...#......#####..#.#..##..##..#.########....#...#.#####..#..###...##.##.###....#..#.##...#..###..#.##.###.####.##.###...#.####.#.#..#..###.##.###....#####.##.#.####....##..###..#.##.####...#.....###.##.##.#...#######.#...#....##.##...##.#..##..#.#.##.#####.###..#.######.###.###..#..##.#.#.#.......###.#....#..#....#.#..#....#.#..#...####..#############.#..#..####.##.##.###...###...##.###..####.###.####.#.#.##...#####....#.....#..##########..#.##.#..#..#.####.##.#..#..#..#.#...#.#.#....#.#.##.###...#...##..#..#.#.##..####.....#....#.####
#..#.##.##.....##.###.####...##...#.#...#..#.###.#.#..#...#..####.##.##.#####.##..###......#..#.##.#....#.###.###.##..#...#.####..##.....######.#####.##...#..######...##...##..#...#.#...##..#.##.###..#..##..#...#..##.#.....####..###...#...#.#.##.#######..#.#.#..#.##..#.#.##.#.#####...#..##.#.##.......#.......#.##....#.##.#.#.#...#...#####.##...#.....#.###..######.#..#.#.....##..##....#.###..#.##.##...##.......######.#######.##....#.#.#####.#...##.#.#..###..#####.##..###.#..#.##....#.####..##...#####..##..##...#.#.##..###.#.#.######.#.....##.##...###.##.#.#...###.#.#..#.#..#..###.###..#...#...#.#######..###......#...##.#..#......##..#..#.#.##.#.......#..####.##.####...#..###...#####.......##..##.####.#.#..#...#..#.....#.#....#...##.#.#.....##.###...###...#######....#.#.####.##.#.....##.##.##...#........#.#.#..##....#..##..#.....#.##..#.#..#.##..#..#.#........#.####.......###.#####.##...######.####....#.##.##.....#..##.#.###...#.#.##.......#.#..#..##..#####...###............#.#..#..#.#.##.####.#..#.##.#..#...#.##..#...##..#.###.#..#........#..#.###....#.##.##.##.#####...###.#....###....###...##.##.#..#.....###....##..###.##.#.#.##..##..#...##.##....#..#.####.###.#..#..#.###...####.#....#.#..#.#.#.#..#.###.##..###.##.##.#.#..#.#..####...#.#######.############.######..#.#.##..###...###...##..###...#...#.#.....#...##.##.#......#....###.######..#...##..##.#.####...###....##.##..##...#........#..##..#..#.###.#.######.#....#..##.####..####.#.#.#.####...#.##.###.##.#.#.#.#.#.##.#.######..##.#####.##.###.#.#.#..#####....#####...#...#.#.#.#.#..#..#.##...###.##....#..#.#.#...##.#.##...#..#...###.####.##...#..#.#.##..#..#.#...#.##..##.###...#..####.#.##...#..##.###..#.##.###..#..#.##....##.#.##.#...#...#.###.#.##...#..######.##.##.#.#.##.####.........####...#...#...#....####..##.####...#.........##..#..#..####.##..###..###.#.#......####....#...#...##.#...#.#..##...#.##.#.#####.#.##.#.#......###.#.####..###.#.#.#.###.#....###.#.####.#..##..#..####.#.#.#.#.###.#...#.##....######.#
#.##..###.##.##..########.##.#.###.###.#.....###..##......#####..###.####.###.##..#.#....#.###.##...#.#.#.#.#.#.###..##.#..#.#.####.#.#.#..#....##...###.#..####..#####....##.#.#..###.........##...#.#.###.....##....#.#.#....#....##.###.###..##.###..#..#########..#.#..###.#.######.#.#....##.....#.#....####.#.#.#.##.#..#.####.##.###...##..##.##.#....#####..###..##.......#.####.##.###...##.#..#.....##..#.#.#.#...########..##..#.#.##...##.##.#.....##.##..#.#...#...#...##...##.##..#..###..#..###.#####...###.##..#..#..#.##.#.###.#.#.###...####.#...#.##.#.#.###.##....######.##.##...###.#...##..#.##.#.##.####....#.##..#.#.##.##.#.##..#######.#.##.##..####.#..##.###.###..##.#.....#.###.##.##.#.######..#.######..#####.##.#.###..#....#......#####...#....#.#.##..#.#..#.####..#.#..#..##..#..#.##......#.##..#....##..#..#.#.#..##.###.#.#...##..##.##......#..##.#..###....#.#.#.###....##..##.###.#.###.#.#.##.#.####...####...##....#.##.##.#....##....#...#..######..#.####..##.###...#..#######..##..#.###..###..##..#.#.##..#.#.#.####.#.#.#.#..##.#.#..#.#.###.#..#.#..#.#.....###.#..##.#.##.##.#.##.###.##.....##....#.##...#####..##...##...##....#...#..#..##.##......#.#..##.#..#.....##.#..#.#..#####.#.######...#.##.......#.#.....#.#.####..##.#.####.#....#.#..######.#####.###..#...#..###.#..#..#.#.###.#..#...###.#####.#..######.#.#.##.######.......#...###.#..###.#..#..#.#..#.##.#####.##.##.##...#...#.#####....##.##.##.#####.#.#.##.#...#####.....##..#.#...#.##.#.##.#..##.#.#..#.###...###.###.....#.#.#..##.###.##.#######.#.####.##..#.##.###.#####..#..####..#.####.###.#####..#..#..##...#..#...####.####.#.#........#.###.####.####.#.###..#..#....#.#.#.###.#.##.....##..##......#...#.#.###.##.#.#.#####...##..###.##.#.#.##..##......##..#####..#...##.##.###.##.#..##.#.#.##.#.###.##...#...##......####.#...#.##..#.##..#.#.##.#..####.####...#.#...#..####...#......#..#..###..###.##...##..#.#.##.##.#.....#.....#####...#..#..###...#.......##.######.##.##.###.##..#.##...#.##....##...#.#....#.##..####.#.##.#
#.##...##..###...##.#......#.#.##.#.#.#.###.######..#...#.#.###.#.........##.###..###.#.########..#.###.#..###.#.#.##..######.....###.#.#.#.#..########.##.#.......#..######..###.#.##....#####.#....####.#..###.##..#..#.###.##...###..#.#..###.#...####....#..###.##....#...##.#..##.#####...#.#..#..#...##.#.####.#.#.#.###..#..#...##..#..#.#...##..#.#.##..##.#..#..#####..#.#.....####...#.#.##.####.#.#.####.#.#.##..#.#.....###.#....#.#..#.....#..####..#..#.###.#..#..####.###.....#.####.....#####.#....##......##.###.##.#.....###...#.#.##..#.###..##.###...###.###...#####.#.#..#.##..###.#...###..###.##.##.#.#.###..#.##..##.#.##.###..#.##.#......##..##.##..#...####....###..######...#.#.#.##..#..###..##...#####.#....######...#.##.#..##..#.#.####.#..#.#...###.#.#.###..####..##..#.##....##.##..#.#.#.#####.##..##.##..#....##..##....##...#.##...#..#####..####...#.#.##....#####.#.#....#.##.....#....##.######..#.#..##...##.###...##...#...##.#...#..#...##...#...........#...#....#.#.#...#.#.....##.#.#.#..#.####.##.#..#.##.#.#..#.#.#.#...##.###.......#.#.#.....#.##..#..##..#.#...#.##..###.#..#.##.####..#..###...##.#####.#####.####..#####..###...###.#####.#..#.#.######..#.#####..###....#....#.####..#....###.####.#............#.#...###.........#.###..#..##....#.##.#.##.....##.#.......#.##..###.####.#..##..#.###....#.######..#..#..#.#..#..####..###..#.##..#.#.###.....#.#.#.#..##.#.##.#.###..#..####..#####...###..######..##.#.....##.#..##.####...#.#.#.....##..##..#.#...#.##.#...#..##.###.###......##..#.#####.....###..#####..#.#.####......#..#####.####...#...#.###....##.....###.#..#...#..#..#.##.#.##...##.###.#.####....#.##.###.#.#.#..###########..######...##.##...######..##.#.###..##.#......##..#...###.#.###.####......###.##..#.#.##..#..##.#...##.##.###########.##.#..#.##.#.#..#..#...#.#.##.#..#.##.#.##....#.#.###..#.#...#####...##.##.#######.......#..#.###...#.#..##...##..######.###....#...##..##.#.....#.#.##...###.##.####.###.###....####...............#..##..##.##.#...#.##.#..##.##.##....
.#.....#.#####....###..#.#.#.##.###..##.####.###...#.##....#....##.#.#.##..#..##.#.##....##.##....#.###.#..#.#####.###.##..##..####...#..#.#.####..#####....###...#...#..##.##.#...#######..##...#...###..###..####..###..##.#....######..##...#..#.#..#...####.......#..##.######.####.##..#..#.#...#.#.#.##...#....#...######.#..###.#..#...#...#.##...#........#.#...#######.###.#.#..#.#####.#.###..#.#.#....#....##.##.....####.#.###.##.#..#####.#.#..##..#..#####.....#...##.##....#......#....#####.###.#.##....##...##.###....#..#..#.###...#.#..##..##..##...##..#..#....#####.#.####.#.#..##..#.#.##.##...##...#.######.###..##.#####...##.#...######...#.#...#...#.#.#...#..###.#..#...##.###....#...#...##.#....#..#..##..##....#...##.......##.##..###.#..####.##.###.#.#..#.#.......#.##....#.......#..#...###..##.####.##.##.##...##.#.#.###.##.#...#.#.#..#..#...##...##.#.#..######..##..###....##....####.##.##.######.###..##.#.#...#.#.#....#....#####..##.##...#.##...##.........#..#..#.#..#.#......#.######.##.#.####.#.#.#...##...#.#.###.###.#.#....##.#...###.#.#.###..#..#....##.##.#..####.###.###.##.........#..#.#.###..#.##.#.#.#..#######.#....#...##.##.#..#####.###.##.#...#.#.####.#####.##.#.###.#...###..#.......#..####..#.####..####.#.###..#..###.##.#.###..#..##.#.##.#.#...#.#.#.##.##.###..#..###..#...###.#..#....#####..#.#..#.#.###.....#..#####..#.###.#.###..#..##...###.####.####.#..#.#.#...#####.#..##.##.#.#....##.#.##.##..#.######..##.#.##.#..#...#.####.#.#.##.####..#.#..###.###..#####....##.#..####.####.....#..##.####.#.##..##..###...#.###.......#####.#.....#..###..##.#..#..###.##....##.#.#....####.##.#.##....##..#.#.#.##.##.##.#.##.##..##...#..#....#.##...#..#####.......#.....#....####.#.########..##.#..##.#####.#.#.#..##..#....###....#..####..##.....#.......#........#.#..###.#####.##..#####..#......#.#.###..#....####.####.....#.##.#.#.####.....##..#.####.###..#..#.#......##....#..##.##....#..###..##.#........#.#.##.###...#....#.##.#.##.#..##...###....##..#.#.#..#.######.##..#.##.###.
#.#..##..#.#.##.#.####.#..#.#...####.#.#.###..##.#...#.####.#...####..#.#.#...##.#..##.#.#.###..##.#..#..###.####.#.###...#.##.##.#.##.##..####.##.#.##........##..#.##.##.####.###...#..######.####.#....#.###....##.#...##..#.##.#.#####.##.###...####......#.#.#...#..#...###...##.#.##...##...##..#.#..#.###....#.#.##.#.#..#.##...#..#.##..#####.#.###...###.###.#######.#..#..#.##..#.##.###.####.###.##.##.#..##....##...#.##.#...#.#.##....#.#.#.##.####..###.#.#....###...#.#.##..#.##..#..#..#..#.#.#..##.###.#.#.....######.###.....###...#.#..####.....#....#......#.#....###.......##......#..#.....#.#######...##.#.#.#######.##..##...#...###.#.##..#.##....#...#.#####.#......####.###.##.#...##..###....###.##.#..#.....#.######..####...#....#..##.##.##.######......#..#.##...#........#.##.#.#...#.##.#..###.#...#.##..##.###.....##.##..##.#..#....###..###.#..#######.######..#..####..#...#......##.#.####..####...#...###.#.#.#...##..#.#....#.###.##.#...#.#.#..####.#.#..#..#..#...#...##.#.#####.##.#.#..##.#.#.#...##.##.#.##.###.#.#####.##.######.###.#.#.####.#.##.#.....#.###.####.##......#.#..#..#....####..#.#.#.######..#....##.##..######.#..####...#...#.#.#..#........#...####..####.....#.###.#...##..##..#....#..####..##..####..#..##.....#....##.##..#...##...####.##.##....###.#..#.#....#.##.#.#.#.######.#..##....#.....#..#..##.#..#...#.#.#.####.##.####..##..######.#.##.#.##.##.#..#.#.#..##..###.#..##..#...#.##..#######.##.###..###..####.#.#.#....#####...###.##.###..###..#.#####..#.#..#..####.##..##....#.##.#.#.##...#.#.####.#..#.#..#..#....##..#####..#.#####.#.#.#.###....###..#.#.##.#.#.##......##.#.#..#..#..###....#.#..#####....#.#.....###..#..#.#.#..#....###.###.#....###.##..#..##..#.#..##..##.#.####.##.#.#..#...#..#.....###.#...#.#....#.#.#.###.########.##.#.#....#.#.#....##.#.###..#...###.###.....#.#######...#.#..#####..##.##..######..#.#.#..##..#.#.##.###.###....###.#..###.#..#..#.#.######.##.#.###...#.##.###.#.####....##.##.####..#.##.####.#..#..##.##......#....#..#.##..#.#..#..#..
.#....########.#..#.#####.##.####.####.###..##....##........###.....#....########..#..#....#.#.##.#.##..###..#.####...#..#####.######..#.#.##...###..###..##.#...##.#####..##.##.##..####.####..#.#.######..##..#.#.###.###....###.#.####.###...#...#...##.#.##.##.##.##...##.###.##.#..#....##..#...#.####.##..#......##..####...##.#.##.##...###.#..#.......#.##.####....##..#.#.#.##....##.#..###.##.##...###.####.#.#.##...#.##..###.#####.##..#.##...#.##..##..#.##..#####.###..##....####...##.##..#..###.######.##..###.#.#...#..##...###.##..##..#...##.#..##...#.###..#.....##.##.##..#####.##....##..#####.....#..#..###.###....##...##.###..#######.#.....###.#####..##.....###.....###.#...##..#.####...##...##.##.#.#.###...#.#...##..#......#..###.######.#..##.###..#.....#####.###.######.#.#.###..###..#.##.###...##..####.#.#..#####...#...........#.....##.####....#.#.#.#.....##.###.#..#.####....##.#..##..##.##..##.##.#.#####...#.#.###....#.###..#..#..###.#..#.#####.###..#..##.##.##.#.....#.....##...######...#.#######.#..#.##..##..##...##.....##.#.#####.#.#.#.##..####.###..#.####.#....#.....#...##.#.#######.#....#..#.##.#####..#..#..#.#####...####.###.###....##.##..###.##.##..#.#.#####.###...##..#....##...##..#.#.#.######....##..#....##..##......###.....#.##.#######.#..##.#######....#...######...#.#...##..##..###..#.###..#.##.#.#.#####.###...##.#..#..#....##.##.#..####.#...##....##...#.#####.##.#..##...##.##..##.##.####..###.####.#.#..#.####.#.##.#..#.#..#...#......#.#.###.##.#####..#.##...#######...##.####..#.#..##.####...#....#.#.###..##..#.#...#..#..#.#.#.###.#..#.#.##.###.#...##....##.##...###.##.###..####.##...#...#..##....####.#.####.####.####.####.#..#..##.##..#.###..##.#.##.##..#..#....##.##...##...##.#.#..##.#..#.#....#..#.###....#..##..####.#..###...#...#..##..#.##.....#.#.#..#.###..#.##....#.####.####.#.###.######..##.#...##..##.#..#.##.#..##.....###...#.#.###..####..........#....###.#..#...##.#######.......####.###..##...##.##.####.#.####.###.##.#.#.#.#.....###.#.###..##.###.#
..#.#.#.##.#########.######.##....#.#..#.#..####..#..#####.#.########.###.#####.#.##..#.....#...#...#####.#....#...#.##.....#.####.#####...###....#..#.#.#..#.###.##.#.#.##.##.....#####.#...#...###.##......######...###.#..##.....#..#..#..##.#......###..#.###.#...#.###.###..##......#.##.##.##.###.##.#...#.....##..##.#.#.#.#.##.##...#..###.#..##.#...##.#.#####.#..#..#........#.#.......#..#....######...#..#..##.#.##..#.........##.....###.#.#.##..#.###....##...#.####..###.......##...##....#.#...##...#.##....#.##.#.#..#.##.#.########..##...##.##.#..#...#..##.##.##.#....#..#####..##...#.#..##..#.#..#...####..###...#.#..###....####...##.###.#..#.....##....##.#.#..#..#..##......#.##.##..#.#..###..##...#.##.##..#...#.##.#.#.#..##...#.####.#.##...##.#..#.#....####...#..#.##..#.....#.#.####.#...####.#.#...#..#.....#..#.#####....#..##......##...#.#####..##.#.#.##..#####.#.#.....#.#.....##..#...####.####.##.####...###.##..##.#.#..#.##..##.###..##.#.#..##...#.#..##..######.....##..##....##..#.#..##..##...#.#..#...#...#.####.#.###..#.##.##.###.#....###.....###.....#.##.#..####..##.#.##.###.#.#.#.....#.##.####....###..#.#....###...####..#.##..###...####.###.##.#.####..#.#.##....##.#.#.#...#.#.##..#####.#.......#.##.###..#..#.........####.#..#.##.#.######.###.#..####.#.##.#.#.##...##..##..#.#.##.#....###.#.##.##..#..##.#.#..##...#....#..###.##.######.#..###.##.#.##.#.#....#.#.#..####.#..#.##.#.#....##...#....#.#.#...#..#..##.#.##.#..###..#.#.##..#..##.###...##..##.##.##.####..#..##.##.#..#.###.#...####.#.###...#.#..###.####....###..#########.##.#..###.#.#.##..#.#.#.#......#.##.##.#.#.##.##..#..#....#####..#...#..#.##..###.#.##...##.####..##.##..##...........#..#####.##...#.#..######..#.....#....####.#.....##......#..#####...##.....#.####.#.####.#.#.###..##.#...#.##..####..#.#.##...###...#.....#..#.##..#.##.#######.##..#.###..#......##.#..#.#######.##..#..#..#.#..##..###.####.##.#####..###..#.###.####...#####...#.##..#..###.##.#..#..#.....###..#.#..###..#.#.#..###..#.#.#..#...#.#..#.#
...##.###..#..#.##..##########.#..##........#.#..#.#.#.......#....#......#.##....#.#######..#..#.##.#####...#.#.###.###..#...#.##....#......##.#.###..#.#.##.#.##.......#.#.##.#.....####.#.#.#.###.....#.#.#...####.###.#..#.####..#.#.#####.#.#....##...##.###...#.###..#......#..##.###....####.##..####..#..###.#.#..#..#..#.###.#..#.#####...##.#.####.....#.##.#.#####.####..###..#.#....#.######....#..##.###..###...###...#.##..#...##..####..#..#.#...##..##...#..##.....#.##.#.#.....###.#..#.#.....##.###.##.....###..#####...#####..##..##.#.#.##....#......##.###.#.#.#...#.###.####..#..#.#.#...#.....#...##.###..#.###...##..#...#..#..#..#.######.#.##..##...#.#.#..#...#..####....#.###..##.##..###.#.#.#..##.####...#..##.##....#...###...#..#.####..##..#####..###.#.#..#..#.#.#..#.##..#...#..#........####...####.##.##.###.#.#..##.##..##.##.###.....#.####.#....##.#..##..###....####...#...##...#..#....#.####...###..#.#...#.##.#...#.##..#.####........##.##.#.###....##..#.####..##.#.##.##.##....#..##...##........#...##.#####..##.##.##.###.##.#####.#.###......#..##.#######....#...#..##.#..##.#.#.##.#.#.#...#.#..#...######.#....#####..#..#..###.....#.##...###..##.#....##.##..#.##.##.##.###..#######.###.##.#.###....#....##..#######.#...##.###.##...#...#.###...##.#....###.#.#........####.#.##..####...####.###.#.#.#..#.###.#..##..#.#..###..#..###.#.###.#.##..#...#..#####...####....##....#.#.#...###...#.##.#.##..#..#.###..###..###.#.#.#.#.#...#...###.#####.#.#..#....#.##.#...##..#..#.###.#.....#......#.......##....#....#....#....#..##.##..#....##..###.#.#.#.....#..####..##..##..#...##....#.##..#.##...##.##.#.#.#..#..#.#.#.##.#.##.###...#......#.###.##.#..##............##.###..########.#.#.#.####.##..##..#.###.#.##..##...##.#.#......##..##.#.#.#..##.#....###.###.#######.###.##..####.#.##...#.##..#.#.#.##....#....#..#.###.##....#..##....##.###..###...##.###.....########..##..##.......###........##...#..##......#..#.#..##...#..##....#.#.#.#...###.###.#.#..###..#.##.##.#....#.....##.#.##.....##..
#.#.####....##...#########..#...#.....#.###.#.#....#.##.##.#.###..#...#..#.###..#.######..#####......#.#.###..#.#.##...#########.....#.#.#..#....####...#.#.##..##..#.#####.#.##.#..#.#..#....###....#.##..#.#........##.#..#..#.##.##..##.#..#####.#..###.#..###..#.#.#..#####...##....#...........#....#..##.....#..###.##.###.#######.#...####..#####...#.....#...#.#.#...#.#..#.##.##.##..##.#.#.####.#.#....#.##.#..#..#####.######..##.##.#..##.#.####..##..###..#.###..##.#.#.#.#.#.#.#..#.#.##..#...#.##...#.###..#..####.###.#.#.####.#.#####.####..#.###.#..#..#.#..#.....##.#.#..###...#####..##.....#####...##..#....#.#..#.#..#.#..##.#..##.####.##.##....##.###...###.#..#...##.###.#......#.#.....######.#.###.##..#.###....#.###.#....#....#..###.###.##.##.#.#..##.#..#..###.##.####...##...#..###.#######...#####...#.##...##.#.#...##......##.##.###.###..........#...#......#..#####....#######....#..###.#.#..#####.#####.#.....#..##.###.#.#.##.##..#.####..##.#...#.#....#.##.#.#..####..##.....#.########.###.###.#..#.#......#.##.....#.#####.##.##..##.#.##..#.######.#.#....#.####.#.#.##..##.#.#...#...##.##.#####.##.##.#...##..####....#.##..##.##.#....#####.##.#....#...#.#....#.#..###.#.#.#.#....#.##..#.#.#...####...###########...####.##....##..#..##.#....#.##.#.....#####..##.###.##..#.#.##.#..##..##.#.####.#..#..###.####.##....#..#.#.#####.......#.##..#....#.#.##.###.##..#.#######........#.#.####..#.##...###.##.##.#####..#....#.#...#...#######..##...#...#.#..##..#.##.#...#..#.#..######.###..##..######.##.##..########...###.#.#.##.#..#.#.##....####......##..#.....##....##..#..#.#..#.......##.##....#....#.#.#.#..###..#.#.###.##.#..####.....##.##...##.##.#..#...#..#.##..##...#.#.#.###...#.###...#.##....##..#.#.###...##.##..####.#....#..#..##.######.#.#..##.#.#########.#.#....####.##.####.####....##......#.####.########...##.##.#...###.####..##..#..#.#..#...#.#...#...#....###..#.#.###.......#..#...##....#..#.##...#.#.#.#.##.#..#....#.##..##..###.##.#..#...###..#.##..##.#..###....#.#...###..###.##
###..#..#....###..#.###.#.########.#...#.#........##.##.##...###....#..##....###.#####...###...##.#.##...#.#.###.#.#.####.#.....#..#...#.###.#.###...###.#.####.#.###....###.#...###....#.###.###.#.#.#####..##.#.#.###.#.###.#.######.##..##.#.##..#..#......##..#.##.#...#..#.##.##...#...##.#...#.#...#.###...#.....#...##.#..##.#.###.###...##..##..#....###.##..###.....#....##.#.##.#..#.#..##.#.##...##.#..##......#.##.#####....#.###...#.##.##...#...###.#.##....##.##.##.#.##.##.#.###..#.#####.##..####..#....##.###.#..####...#..#....####.#.#.#####.#.#.#..#.#.####.##.#.#.###.##.#####....#.###..##.#.#....#######.#.###...##.###.##..#.#######..##..#####.....##.######.....#...#..###..##.#.##.#..#...#.##..#.##.##.....##.###.##.##.#.....#...##.###..###.#.###...##.....###..#.#.....#..#...##.#.#.##..##.#..#...#.#..##.###....######..#.####.#.##.######...##.#..#...###......#...#....##.##.##...##.#...####..###..#.#..###...###.##..##.#.#####.####.##..#.###...##.##..##..#.#..##.#...###.#..####...##.#.#.####.#..#.#.#..#..#..#...#.#####.#....####..###..###..#.#####.###..####...####.##..#...#..##....#..##.##.#.###.....##..##.#.##..#.#.......#..##.#.#..####.###..#..#.##..####....#....#.#.##.#.#.###....#..##.#....#.#..#..#.#.......#.#...##...##.####.##...#...##....#.##.#.#..##...##.#..#..#.###.#.#.#..#..##.....#.######.##......#.#####...###..##.##..##.##.####.#.#..##...#..#.##.#.#.#.##########.##..##...#..######.####.##....#..##..####.#.##..#.#.#.####.##.##.##.#.####.#.#..#.#.#.#.....#.#.###.###...#..#..##..##.#..#####.#.##..####..#.....#..#....#.#.#..###.#.##..#..#.######..##.##....#.##...#.###.###....####..######.##.#######..#..#.#.....#..###...##.##.#...##.#....#.###.#......#.#.#...####....#..#..#.#.....#.####.##.#.##.#..#....#..#..##....##.#...######...####.##.#..#.###..##.##..#...##...#...#.#.##..###..#.#...###.#.##...###.#.#.###..#####.####.#...#.#.#......###.#..######.##.#.........##....#.###.#.....##.##..######...#.###.#......#..#.....#.###...#.###..#.##.####...#.#...###.#.#...#..##.#.
#.###..###..#.##....#.#.#.#.#..###..#####..#.##.#.#...###.#...##.###.##.......##..#..#.###.#.##..#.#.##....##.############.#....#.#.....#..#..####..#.###.##.#..###......##.##..##.##..###..#.##..##..#.#.#.##...##.#...#.#...#..######.###..#.#####.#.#.#..##...#.#.#...##...#....##........#.###..###........##.....#.####..##.#.#.##....#.#####.#.##.#.#...##.#.#####.###.#.##....#...#..##.#.#####...##...##..#.#.......#######..###.##.....##...########.####.#..#.###.#..#...#.#.#..#.####.##..######..#.#.##.####.###.###.#..#...#..#.#.######.#..#.##.###.#.###...##.#.##.#.###..#....#.##.##....#.###.#...#..##.##..#...######...###.#.#..#.###....#.#...#..###.#.###.#.###.#.#.##.#.#...####.#.....##...#.#.#.######...#.#...###..###.##.#..##.####.#..#..##....#...#.#.....##.#....##..#...#.###.###.#####.###.###.#..###.##....####..###..#.#..#....#.........#.##.#...####..#......#######..#.#....###..#..##..#####.##.###......#.#..##.#.#.#.#..##.###.#..###.###..##.#..#.##..##..##.###...#####..#..#.#.#.#...#....#.#....##...###......#...########.#.###.#.###.###.#.#..#..#...#...#.#....#.##.#.#..##..##.###.###.##########.#.####.##.###...#..#..##..#..####.#..##.....####..#..###...#....#.#...#..##.#..#.#..#.#..#...#.#.#.#...#####..#.#.#..#.###.#.#..##..###..#..#.#..#.##.#.##.##....###...#.....##...##.#.#.....#.##.#####.##.#...####...##..#####.#..##.##.####..#####.##...#####.##..##.#####.....####...##.#.##.#.#...#.##..##.#...##..##...#..##...###.#...#.#.....#.#...#....##.##.###..########...####..#..##..#.###....#..#.#..#.##....##.#......##.##.......#.#..##...#.##....##.#.#.##.#..###..##.##...#..#.#.#..#.###.#..##...###.#.#.#....#.....#.##....#...#.#..#.#.#....#..######.#..#..#.#.#.##..##.#.#.###..##.##.#....##....###.#####...#.......#.#####.#.#.##.#..#......#......#.###....#....#.###.####.##..#....#..#..#.########.#...#..#.#..##.###..##.#..####.#####.##.##....#.##..#.##...##.##.#####.##...##.#..##.###...##..####...#.#######..###..##.##..#...##...#...#....##.#..##....##..#.##..#....#..##.#.##.##..######
#...##.#.##...###..#....#.#..#...#.##.#####.#.###.##.#..##..#.#..#.###.##....#.#..#.#######.#.#..###.##.##..###...###.###....####.#.#..##.###..###..#.########.#..#..####.##....#......#.#.##......##...###.#.#####.#.#..#.#.##..##..#..##....####..###..###...#..#...#...##.#.....##...#.#####..#.#...#..##.#.#..##...#.###...#.#.#.#####....##.####.....#.#.#...##.....####..#.#.#.####.#.#...#..#...#..##..####.....###.##...##....##...#.##....####.##.#...#...#....#........#.##...####..##......#.#.#..#.#.####..#..#.##.#....#...#.##..#..##.#.##.#.#.....##.#..####..##......#.#..##.#####.###.#.##..#........##......##..##...#####..#.#..#.#.##.#.#...##.#.#...##.#######...#.########...##.####.##..#.##..#.#.#.#...#.####.###.##.#...###.#.#.#..##.....#####.##..##############.#..#...#....####.###.####.#.#...#.#.#.####....###..##.#.##.#..####.##.#.....#.#.###.#.##...##......#..#..####..###.##......#...######..#.####.##...####.##.#####.#...#.#..#########...##....##.#.##.##.#.#.#.#####...##..#....######.##..#..#..##.##.#.#.##.#.###.#....#.###..#..######.#.#.#.###.#...#...#..#...###..##.######...##...#..##.##...#.#.##.#..####.##.#.#.#..#######.##.#.##.#..#.###.###...#..#..#.#.#.##.##....#.####....##.#..#.#..#..##..####.##..###...#.###.#..#.#.###..#.#....###....#####..#.####.#.....###....##..###..##..#.#..##.#....#.###.##....#.#..##.....####.####...#..##.####..##.##.###..###.#..#.#.#.....#....#.##......##.##.#.........##...#.#...####...##.#.######..##..#..#.#.##...##.##.##.##.####.#..#....#######.##.##.#.####..#.###...#.#.#..##..#.#.##.##...###########.##.###..#####....#..#.##..#....#.#.##.####.##......#.##..#......##..#..#.#.....#.########..##...#.#.....#..#..#..#.####...##.##########.####...#.#..######.#.###...#.....#.##.##.####.#...#.###..#..###.#.#.#..#..#############..#.#...####..#.#.#..#.#......##...#..#.#.#.##.#####.##.#.###.###..#...##..##.#..#.##.#..##..##.#.####..###.#..#..##.#.#..#.####.####.####.....#.####...###.......#.#.####...###.#.#.#.##.##.####...####.###....#.####..##..#...#.
....#...#..###.###.##.##.#..#.#.#.#..#.#.##..####...#....#...######....##...#.#.#....#.##....##.#.#.#....#.#.#.######.#.##....##.###..##.#...#.##..##.##..#......####..#####.#######.##..##..###...#..#.#.#...#.###.#....#.#..###..#.#...#####.#####..#.##...###.#..#..###..#.#...#..##...##.###.##....##..#.####.##.####.#.....#.###...#.#..#.....##.#.###.......###.##.#.##.#####.#.#...#..#.###..#.#######....#..#....#..####.#.##.#..###....###..##......####.#.######.#..#.##..##########....#.######...#...#.###........##...##.##.##....###.#.#...##.###..###.##.#.######....#.#..#.#.##....###.###.###.#.#...#.##....##.##.#.###.#.##.#....#.......##.#.##.######.#####...#...##.#.#####..####.###.##...#..###..##.##..##...#...###...##..#######..#..#.###.#....##..###....#.######...#..#..#..###....##....#####.####..#.#.#####.##.#...###...###.#....##.#..##..##...#....##.#.#.#######.#....####.#...#.....#.#.#..###....###.#..#..#.###.....#...#.#####..#..#..##.###.#...##..#..#.##.#.#...##....##..##.####..#.###..#.#.....####.##..#####.#.....##..#.#.##.#.##.#..#..#.#.##.##....#.#.##.##......##.######.##.#.##..###.###.......#.##...#.#..##...#.#...#.######.#....#.#.....##.#.###..#.####..#....###...#.....#..#.#......#######.....##..#######..##....####..#.....###....###...#.#.#.##...######.####.##.#..##......#.#..#####...###...#.#.#..#...#.##....#.#.###.##....#..#.#.#...####.##.###..#.##.###.####.#.##..#.########.#...##...#...###..###...#.#.#######...##..##..######.#.#####.##.#..###...###.#.##.#.#.####......#...###...#.##..##.#.#..#....###...#.#...#.####..#.#.#.###.#.##.#..###.####.#.#.##..#.#.###.#.###.#####.###....##.####..#...#...##.##....#...#.#.##.##########.####.#...#.####..#.#..##...#....###.#.#.##.#####.##.###.#..#...#..#.###.#..##..##..###.###..##...##....##..#..####..##.##...##...#...######.#.#....######.#..##.#.###...######.#.#.##..#.##.#...#.#...##.###.#....#.#.##.##..#.##..###.#.###.###.........##..#.....###..##...#######.##.....#...####.#..#..##.#.###....#####.#....#.#.....###.####..#....
....########.#.##....#.###.####.#.###.#.#....###..##.##.##..###.####...##..#..##.....##......#.###.#.##...####.#####.#..#..#...#.#.##.###.##....###.####..#..#.#.###.##......#...##.##...##.#.##.####.#...##..##...#..####...###....#...#.####.#.#.#..#####.#....#.#.....###.###.##..#..####.###..#...#.##.###.#.##.#.####.#..#....#.##.....#....##.#...#.###..#.##...#..##....###.#........#.#######.##.##.#.####.#.##..##..#..##...#.###.#...#.###..#.#....###.#.#..#...#.##.......##.#.##..#..#.#.##.##.#.#.##..#.###..#.####...#.######.#.....######.#...##.####..#.##.####.####.#..##..##.#####.#.########..##.#..##.#.##.#...#.#.##.#....#.#...#.#####..###.#.#.#.##....##..#.##....###.######....######..#.#.##..#....#.#.####......#..#....##.##.#....#...#..#..#..##....#...##..#.#..######.######.#..####.#...#.....#...#..###.######.#...##....#...##..#.#.##.#..###.#.##.#.##.#.##.##...#....##.#.#..######.##...##..#.##.#########.....#...#.#.###...##.....##.##..######...#..###.####...####.#..#...#..#.##...#.###..##..##.#.##.##.###.#....##.###.....########..#.#..##.#.#..#....#..######...#.#.####.#..#####..#....#.##.#.###.#......###..##..##..#.###..#.....#....#..##.###.#.####..#..#....#.###.#.#.#.#.##..######....#.###..##....##.#...#...#...####.###.....###.##.##..#.#.#......#.####....##...##..###.###...#...#..##...##.########...##..#...#.####.#.##....#.......#.#.#...#.####..#.....#.#..#.#..#..##...##.#....##....#....#.##..#...#..#.##.#..#.##.#.####.#...###.#.###....###...##..#....##..##....##.##..#.##.#...#.#.####.##.#..####.#.#.#....##...####.##....#...###.#..##..#.###..##....#.....####..#.#.....#.####.#.###.#....#..##.#..#..#.#......#..#.###.#..#.###..#....###....##.###...#..##...#.############.....###.#.#..#####..#..###..#...###.##..#####...##..###.#.##..##...#.###...###.#...####.####..##.#.##.#...#.###...##.##.##..#.#.#...#.##...####....####..##..###.###..###....#####.##.##..#..##.###.#.#..#...##...#..#####.#.....#.......##.#####....#.##.##....#...##...##..###.#.##..#..##..###...###.#..#..#.#..#
.##.##..#.###......#.#...#.##.#.#..##.##.#.........#..##.#....##.##.#...##...###....#.######....#..######..#.#..###..#...#.##.###.##.####.#.##..#...#.....#..#...#....#.#..#..##.###...#.#...#.....##...#.##..##.#..###...#.#.###....##.###.#....#####.###...#...##.##.#..####..#.#...######....##....#...#.#.##..#.##.#.##..##.#.##.###.#.....#...##..#.#.##.#...#####..#..#######.#.#####.#..########.#.##.##.#..###..#.#.#.####.######.#....####..#...#.##.##.#....##.#..#..####..#.#.#..#######.##....#.#.#.##.######......###.#...#..######.#.##.####.#..##.####..##...##..#######.##........##...#.##...####.####.###..###.#..#...#..#...#.###..#.....###.#.#..#....#.##.########...##.##.###.##..##...#.##..##....##.#.###.#..#.#.##.###.##.#.....##.###..#...###..##...###..#...#.#.#..###.#.#..#########..#.#########..#..###.#........###.######..#.#.#..#..###.###.....#.#.##..#.#.###.###...##.#..#.#.#####..###.##..#..#.#.#.#....##.#..###..#.#.##...#.#.###...##.##.###.#..###...###.##.###.###...##..##..##.#.#..#######....#.######...##.#..#.#...#.#..#.####.#...#.....##.#.#..##..#.###.#####.##..#.##...##.###...#.#.#####.#......###..###.######.#...#..###..###.##.#.#.#.###.##..##....###.#.##....###..###....##.##.#...#####.###.#.####.#..#.........#####.#....##..###..##.##.#..##.#..#.#..#..#.#....#...##..#..########.#.#.#.####.#...##.#..#####....#.#....##..###.#..#.#.#...####.#####.#.###..##.....#..###.##.#...#..#..##.####..#...#.####..##..#.###...#.##...#..#..####..#.###...##.###....#.#####.###.....##.#.##...#..#..######..#...#.##....##...#.#..#...#.#...#.#..##.##..##......######..#.#...###.#.##...##...##.#..#.###...##.#.##.##..#..#...#.#.##.######...#####.#.###.#...###.#..#.#.#...##.#...#.#.#####..#..#.......##.##.#...##.#####.#...####.#.##.#..##...#.#..##...##..#.#......#####.##.#######...##.#..#..#..#...####.###.#.#.#....##.#..#...##.#..##..##..#####..###.#..#.#####.....###.....#..##...#.##.###.##.#.###.##....#.#.#...#.##..##..#.##.#.#..##..##...#.#...##.......#.#########..#.#..###..#...#...#.#.#.#..
#........####.#...##..#.#.#...####..#..##.##.#.##.#.##.....#..##...#.....#.###..#.####....#######.##.##...#.####....#..#########..#.....###.##..#####.###..#####...#..###..#.##......##..##.##..##....#.#..###.#.#.##.#.#...#....##.###.##.....###..#...#........##.#.#.##.########...######.#..#.#.#.#..##.#.#.#.#####.#.##....#.#.#..#..#.####..#....##.##..#..#.###.####.#..##...#..#..##.#.#.#...#....##.##..#..#..#....#..#..#..##.#...#..#.###.#....####.####.##.###.##.#.#.#..##.#.####.##...#.####.##.##.####.##.#.####..#.###..#.#####.##.###..#..####.#...#.#..##.#..######........##...#.#.#.###...##...#......#.##...#.##..####..##...#.#....#.#...#..##########...........##...######.###.##........#...###.#...###.....##.##..#........#...#....#......##.#.####.###.######...#.#.#...#..#.#.##.##..#..##.##....##..#..#.##.#..##...#####.###..###...#...#..########.##..#.#.#.#.#.##..........####.##..#######...####..#..#.##..#.###...#....#.##.#.###.####..#.####.#......###.#.#..#.##.#.#...#.#.###....#.#...####.####..#.#.###.##.#.#.#......#.#.#.##..........###......#...#####....###...#..#.#..####....###..#.####..#.####.##....#....#........###..#.#.#....####..#..##..##..##..####.###.....####.##.#..##.#.###.#.#.#...#.#.####...###...######..#...#.##.###...##.##.#.##.##...#.##.#.#..#.....###.....#.#.#####.....#..#.###....##.#.#####...##..#.###.#.#####.##.##.####..##.#.##.#.#....###...##.#.#....#.##..#.#...#####.#.###.####..#..#....###.##.....##....##.#..#.##...#.##..###..###.###..#..#.......#....#..##..####.#####..#.##.#...#...#.######.#.#.##...###.##.#..#.##..#.#.#..##...###..##.#.##....###..###.##.#....###########.#.##....###....#..###.#.....####..#.#..#....#.#...#####..##...#.##...#...##..#.#.#.#.#.#.##.#...#.###.########.##.#...#.#.#..#####..###......##.#..#.#.##......#.#......##..#####.#..#.#..#.##........###...##.##..##.#.#.#.#.#.##.#.####...#..#.###...#.##.####.#.#...##.#..#.##.#..#.#...#.##.####....##.##.#...#.###.#.####...##..##.##.##...#.#####.####...#..#..#...#.######.#......#.#.###..##.#
##...###...##.#..#.#...###..##.#.##.##...###.#....##..###.#.##..#####.###.#..#..##.##.####..##.#...###...#...##...###.......##.##.##...........##.#..####.##.##.##..###...##.#.##.#....##..##.###.#......#..###.###########.#.##..###......#.#.#..##.####...##.##....#..###.#.#....#..##..##.....##.....###.##...####..###...#..##..#...##.#...#..###.#.###.##.######.#..#.#.....##..###.#.....#.####..###.##..###.#.###.###..#.....#...####...##.....###..#.#.###...##..##.##.#..#.######.###...#.#.....##.##.#...##..#.#.##.###.#......###...########..###.####.###.##.#...#..####...##.#.##......#....##..##..###..#..#.#...######..#####......##.##.####.#.###...#.###...#...#.#.#.#..#.########.........###...###.###..#..####.....###.###..##.....##..#.##...#..#.##....###...##..##.##.######....#####.######.....#..##....###.##.#.....#..###..#....#..#...##...##...#####..#.#........#.##...##.#.##...###.##.#..####.##..##.#.#..###..##.#..#####.#...##..##...###....#.###.....##....###.##.##.#....####.##...#.#..##..#.##.#.#..##....###...#..#.######.#.##..##.####.##.###.#..##..####.#####..#.#..####..#....###.#...####.####.##.#.....#.#.#.#.....#.#...#...#.#.#..#...#...#...##.#.#.##...###......#...###.#.#..#.#.#.#.#.##...#...#.###.#.#..#.#.#####.###..#..##..#.###....#.#..#.....#.#.#..###..###.#.####..#..#.#.....###..#.#..#....#.##.##.#....####.#...####.#.#...###.###..##....###########.#.##.#.#####...####.##.####..#...######.#.#######..#.####....#######..####.##...#.###..#.#.####........#.#.....#.#....#.....###....#.##..####..#.##.....#..#.####.#.#####.###..####.............#.##..###.#..#..##..#.##.#..#...#.#..###..######.#..#.#.##.##.###.#...##.#.....#.##.#.#..#.#.....###.....#.###...##.#.###.#.##.#.##....#...##.##.#####..######.#.######.##.##....####.#.....#....#.###...##.#.###.##.#.####.####......##..#.##...###.#......#####.##..##..#..###.###.#.#.####.#####...#.#...#.#..##.##.#.##..#..#.##.#..#..#.#.##....###.#....#..##.#...#...#....##.###...##..#.#.##..#..#....#..##..##..#..######.##.############..####
.##.#.#.###.#.#..####.#.#####....########.##.####..###..#...##.#..##.###.##.#...##...#..#.#...#.##.#.####..###.###..##...#....###...##.##...#.#####...#####...#..#.####.###.###.#...#.##.#.#..#...##...######....#..##..#..###.######.#.#.##.#...#.###...#####.#.#..#......#..##....#.#.##......#.###.##.#.#..#.#.#.#.#.#.#.##.#......#..####....##..#.#.#.#..#.#.###...#..##.##.#.#.##...#.#.#.........##.....#.....#######.#.#####..####.##.###......#.####.#.#.##.#..#....##..#....#.#.#..###..####.....#.#.#....#..###....#...#.#....##.##..#.......####..#.#..#.#....#....#..#####..#.##..#.######.#.##.#######.#####..#.##..#.#.##...#.##..##.##....####......#....#..##..#.....###.#.#...#.####.######.#..#.#.....#.##.####......####..#..###.#...#....#.###...##.#..###..##.##.#.#...##...#####..#.#.#.....######.....#..#.#..##.##..###..#...#....##.##.#.##.###....#....##...#.##.########...#....##.#.#..#....#....###....#.##.#.##.#.####.#..#...#.#######.#........#..#.#..#.#.#.#...##.......##..#..##...#.####.####....##..##.#.#.####.####..##...###....###.##.#..##..####.#.#..##.###.#...##....#....#.######.###.###......##.#..#..#..#...##..##....#..##.#.##.#####......#.##....###..##..########.#..#.##..#.....##..##.#.#..########.#..#.....#.#..#....#####..##.#.##..##.#..#.#####...#..#.#.###...##..#..###..#####..###....##.....#.#.##.##.....#.###.##.##...##....#...#.##...#####.##....##.#..#.##.#####..###.####..#.###.#..###.##.#.##..##.##.#.##....##..########.##.........#.#...#..#.##.####.###..#.###..#..#.#..#..###...#..#.##..###......##.###....#.#.#...#.#.##....###.#.#.###...#.#.##...###.##.#..####.#.##..#.####.#.##..#...###.....##.#..#..#######.#.#.#.##.#...#..###..####.....##.####..#.###.##.##.#.#.####...........########.#.#..##..#.#....#.#.####..##..#.##..#.#..#......#.##.....#.##..#...##...#..##.###.#.#.##...###.#.##.#...##....##...##...#..###.####......#.#.#####.###..#.#.#.##.##...#..##.#...######....#....##....##.#.....##########.##..#.#.#......#.##.#.####....#.###.#.##....#.##....#.##..#.#.#...#.#...
.###.##.#.##.#.#.#...#.#.####....#.#..######...#####...#....##......#..#.#...#.#.#..##.#...#..###......##.##.#....##..##..#.##...#.###...#..####.###...###.#.#.#...#.#.#.##.#.##.#...#..###..#.#.#..#.###..#######..#..##.#..#.#.##.##..###..#...#.###..#.#.##...#.....#######..###.###..#.##.#.#.#.#..#.#.##.###..##.#..#.####..##....####.##...###..######...###.##..##..##.#####.#.#.##....###.#.#...#####.###.#.###..##..##...##....#.#..#.######...##.##.##.###.#...##.#.####..#...#..#.#..#.#.#.##....#.#####.##..#.......#..#.##....##.##...########.###.#...##..##...##...##.#.#.##.#..###...#.....#.#.......##.#....#.#...#.......####.##..###.##.##.##...##.##.##.#..####..###...#..##....##.####..#..#...#####.....#....###....#.#..###.##.#.####...##.##...###.#..#..#####.#####..####...#.#.#.#####.##.#...###....#...#.###..####.##......######.#..#......##....#.##..##...#.#.##..####.....#....#.#..###.###...##..#.##.#####.#####.##.##..#...###.##...#...#.####.#.#####.#.#.####.##....#..##.#.#..#....#.###.#..##.#.#......##.##.....#.#...#####....#..#..####.#####.###....#...#.#..#...##.##..##..###.#.#.###...##....#....#.#....#..##..###.#.##.##..###.#.##..########.#.##.#.#..##..###..##.####.##.#.#..#.#..#...######...#.#..##.##.#######.#....##..#.#.......###.#.#.#.#..#.##..#...##.#..###..#..#..#.#...##.#..#...#.##.###..###..##..###.##.#.####....##...##.#.#.###..#.#...###.....##.#..####.#.###...#....#...####....#....#....##....##....#.#...#.#..#..####......##.#.###.#.##..##..######.#.#....#####....#.##....#..##...##.....###..#.#.#.###..#.##..####....#.#.....#..#.####..####.....#..#..#.###.##....##.#######.##.###.###.#.##.#.###.#.#.#.##....#..####..#...#..###.##.#.##.#...#...##.#...#......###......##.#.##.#..##.#..##..#.###...#....#.#.#.###..##.#...###.#.#....#...##.###.#.#.##..##.###..##.#.#.###.#.##.###....##.....####...######..#.##.#####..#####.#..#.##.####.###...#.######..##.##.#.##...###.###..###.##.##...#....#..##.....##..#...####...###....#.#.#.##.#.##..###.###..##.####.##.##....#....###....##.
######......#.##.##.##.#.#...#..#..##..#..#.#.##.#...##.#..##.##..###.....#.#...####..#..##.#.#.##......##.#.......##.##..#..###.#.....###..#...##.#..##..#...#.##...#...#.##.##.#####.#...###.#..###.#.##.#.#..#..##.#.....###..##.##.#..#.#####..###..###.#..#.#.#..##.#####.#.##..##..#....##....##.......#.###....###.#.#####....##.###.#..#.#....#...##.#.##..#...###.##..###.##....#####.##..#..#.#..#####..#...#.#.##....##.###..##.##.....#..##..##..##....###.##.#.#.##.#.#...######....#....#.##.####.#.###..##.#.##....##....####.###...#.#....#.#...###..####.#...#.#.#...#....#...#..#.....##.##..#####.####.##..##..##.#.#.##.#.#.##.####.#.#######.#..##..###..####...##.###..##..###..#####.###.......#..###.#.##.#.#...##..##.###....###..#.##..#.#.##.##.#..###..#..#.#.#..#..######.#.#..#...###..#..###.##.##.#.#..####..###.#......##.##.##...#.#.##..#####.##.##.##...#.#..###..##.###..#.....#..##.......#.#...###.#########.###....#.##.##..#..#...######.#.##.......#.####.#.##.#...#.#...###.##.##...#.##...##.....#..#...##.##.##.##.##...#####...#....#....#..#..##..#..##..#..##..##.#..###.####......#..#..#....#.####...###..##..#....#....###..##.##.###....#.#.#.#.##..#.###.##..#.#..#.#..#.####.##..#....####.....###.######........#.###.##....#.#.##..#....#..#.#.......#####.########...#.#.#####...#..#.###..#..######.##..####..#.#.##.#########..###..##.#.###.##....##...#..#...##########.###.#..##....#..##..##..##..#.#.....#.##..###....##...#...##.##..#...#####...##..#..##...#...##.##.#..#..#....####..###.#.#.#.#.#.#.......#######..#.#.#.##..####.#.#..#.....#.###....####..#...#..#..#.##...#.######.###.#....####....#..#.......#..#.#.#.....#...#..####.###...##.#...#...##.#..#..#.#.#.###.###.#.##.###.####..#.#.#.#.#.#.###..##...#..#..##..#....#....#..##...#.#.##...#..##...##.###.##..##.#.#.#.....#..##.####..#..#..##.#####.#######....#.#..###.###.##.#.#.#..#...##....####.###.####.#.####..###.###..#.#.###.##.#.#.##.#.......###...#.##.#.#.#.##..#...######.#.###...###..#.#.#....#.....##...#..##..##.###
...##.#.#...#.##.#..#...#.##.####.#.##...####...##.####.##.##..#.##.......##..###.#..###.###.#.##.##....#....#.##..##..#..##..##....##.#.#####...#.##....#....##...##..#..#.##...##.#..###....#.###.##.#####.##...##.###.#.#..####.###.#....##..#....#####...#.#.#...##..###......########...#..###.##..#..###..#..##.##.##.########.....#..#..#....#...##..#..###.#.#..###....#..#.#.#.#...##..##....#...##.###.####.##.####..###.#.######.#...#.######.#.#.#.###.#.#....#..#.###...###..##.###...#.##.#.###.....##..#.##.##.###..........###..#..######.######..#....##.##.###.#####.#.#...###.##..#.####.##.###.##....###.#########...#.#..##########....##...#..####..#....###....##.###.########.#...###.#.###.#..###.#####.#.#..#......###.####..##..#..#.#....#.#####.#.#..##..##.#.#..####....#..##.....##..#.###.....##.#..#..#......#..##..####.##.#..###.##.#..##.##..#.#.##..###.#.#..#######.....#..#....#..#..#...#.###.##.####..#.#..##.#...###...#..##..###..##..######..#..#...####.#.#.#.##..#..######..##.#.#...######.##.###.#.#..#.##..#...####.....#.##.##....##...#.#...#..##..#..#..##..#.#.##....#....#.###.#####..####.##.###.##....##....#.#...##.##..#..#..###..#.#####.#...####.###.#####..######.#...#..##..#..##..#...#.#.###.##...#...####..##...#.#.##.#.#.#.....#...###.#..###..#....##..##.##....#.##..##..#.#..###..#.###...##....#.###.#..#.###..#..#...####.#.#...#.###..#....###...#.##..##...#...######...####..##..#.#.##...#...####.#.##.##..####.#....##.....#.#.##.###.###.#.#..#......#...#...####..#.#.##.#.###...#..##....#..##..##...##.#.####.###...##.#.#.###.#..##.##.#.#.#.#.##.##....#.#...#.##########...#.##...#.#...###...#.##..####...##.##.##..#.##.#.##..#.#####.#####.#....##.#.#.####.##.#.##.#.#.###.#..#.#...#...#.####..#.#...#.##..####...#.#.#.#.#.##.#....#.#.#.....#.#.#...###..###.###########.##.###.###.....#.#####.#..###...##...#..#...#.#....#...##.###.#..#...###.##.######.##.#.#####.#.#..#.##...#..#.....###.##.##..##.#.#.#######..#.#.#.#........##.#..###.###..#..#.#.#.###.####.##.#.##.###.#.
.#.#.#..######.#####...#..######..#.#..##....##....#.#.....##...###.##..###.####.#.####.##..##.##..####...##.#.#..#....#.##.#.#######.#...###...##.###...###.##.###...#####.#.#...##...#..##...##.....##.#######.#....#..#.##...##..####..#####.###..###.##...#.#.###.##..##..#..#....#...#.##..#.#.#..###.####..........#...#.###.###..####....#..#..#..##.#...##.####.#.#.###..##.#.##.#.###.#.####..#.##..###...##.#.#......###.##.#.#.#.#..#.....#.#.#.##.......########...#.####..##.##.#.#.#..##..#.#..###..#..#.#...........##...#..#....##.####.....##.#..#........#..#.###.......#..#...##.###..#.#.....#.###.....##..#.#..###.##.##.#.###.#.##.###....#......###.########...#...#...##.#..####...####...#####.####.#.......#.###..##..#..##..##.#.#...##....###....#####...#.#....####.#.....###.####..#.###.##.##..##..##.####.#.####....###..##.######..#.#.##.#.###.#..#..#.#.##..###..#.####..#.###..#.#..#..##.#....###.#..#...#....###..#.#...#.#.#####.##.#..#####.#.......##..#....#....####.######.#.........##.#...##.####..###..###..##...###..####.#.##..#.#.......####.#.#.##.#.....#.#.#.###.##..##.#####.##.#####..##..#.##.#########..######.##..#...#..###.#.#...####......#.#..##..#.###....#######...##....#....##..#.#.#..##.#.#.#.#...##.#......####.....#.###..###.#######..#...#..###.##.####.#.##.###.###...########.#...##.###.#..#...#...##...#######.####.##....##...#.###.#.##.#.....#.#..#..#.###...#..##...##.##.#.#..#......#..######.#.##..##.#..###.#....#....#.#..#.#.....#.##...#.#.#....#......#..###.#.##........#...#.##.##.##.##.#####.#.##....#...#..#.#.##..#.##.###..#.#..##.##..#.#...##.#####....#####....######.#..#...#..#.#......#..#.###...#.#.#..####.####.###..#..######.#.#..##..##...##.###.##.###.##.....#..#.....####..#####......##.##...##....#.###..#.#..##..#...#...##.#..###...###.##....#.#..##.##.########.#.#..###...#.....#.#..#..#...#..#.##..#..#.#......#....#...#..#...#..##.##.##.#.#.##..#.###....#.###..#.#...##...##...####.#..#...##..####.....#..#.#.####.....#.#.#.###..#.##.#.##...#.####..
...##.#.#...#.###.##..#.##.#....##.#..#.#..####..#.#...#.....#....##.###.#...###..##..###..##...#..#...#.#.######..##.#..#.##..#....##...######..##.....##.#...#.##..#.##..#..#.##..##.#..##...##.##.#.######..#.#..#.###..#....###....#.######.#..#...#..#..######...#.#..#.#..####.......##.....#.##....##.#...#.....##...#.#..###..#####.###..#.#.##.##.##...#..##.#..#...#####...##...#...##.#..#..#..##..#..###..##.#..#....#...#..#.##.....####.####..#####...#.#.##....#.###.#.#.########.#.##.#..#..##.#.#.##.##.#..###...#.##...#..##.###....#....##......##...#..#.##.##..#.#..#.##....#.##...#.#......###...#.#####.#####....#....####.##.#..#..#..#.#.#.######.#..##.##.####....##.######.##.#..##.####.#.#.#..##..##.....#.##.#.####..###..####.#.....####..#.#...#.#..#...##.###.##.##.#.##.#...#.....#......#####.#.##.#.#.####.#.###...#.###...#.#.#..##.#..###..###..#.##....#.##.......##.#.#####.#..##.###...##.##.####.#.###.##..#####.#...#.#.##..##..#..#.#.....#.#.#.#....##...#.#.###......###.##.##..#..#..#...#...#...####.#..#...###.#.##.###..#.#######...#.##.##.##.#.#.#####.####.#.###.##..#####.#..##.#..###.....####.#...#.#.#..#.#......#......#.##..###.#.##.##.###...#.####.#.##...##.##########.##.#.#.#####.#..#.#....##.#..#...#####..#...##..##.###..##..#####.####..#####..#....#..#####.###.##...##..##.##.....##.#...####.##.#..##...####....#.#.###.......#..#.##.##.###..#...##.##.#..##..#..#####..#..#..#.#...##...#..#......###..#......#.###.###.#.....#..#..###..#..#..#.##..#.###....#..###.#..##.#.#..##.#..#...#.#.#......##.####...##.##.....#..##.#########.####.#.###..##.#.####....#######....##.#...#...#####...#####.##..#.#####..#........#.###..###..#.###..#.###...###.###..##########..########..##.#..#...#.###...#.#.####.#..#..#.#.#####..###.##.#.#....#.#.#..#.##.####..##..###.#..#..##....##.######.....#.#######.#....###...#...##..#....##....###.###.##..#.####.###.#.#.###.#....##..#.####...###.#.###..#.#..##..####..#....#.#.#..#.##.##...###..#.###...##.###..####.###.#..#.##..#######...##....#.
.####.....##..##......##..#..######.#.#...#.....###....###..#####..##.###...#.######.#..##.#.#...#####.#..#.#..#.####...##.#..#.#..#..#.....#..####...#.#.####.#.###.#....###..##.#.#######..####..##.....##.#..##.......#...#..#.#...#..###.#..###.#.#.#....##.##...###.##.#.####..#..####.#.#.#.#.#..###..##..###....##.##.###.##.#####.#.#..##..####..########.....#....###......########.##..#.####..###.#.####..#.##.####.#..#.#..##.##...####.#.....#....###......##.#####.#.##.#.#.####...#......####..####.####..#.#....###.##.##.#.#.#.#####.##.###.#.##.#..#.#.##.....##.##....##..#..#.####....#.#.####...#.####.....##.##.#.##...#.#....###.#.####.#......#....##.#....##..##..#.###.#...#.##.#..##.####..#.#..##.##.#..##.##.#.#...#..##..#.#...#...#..##..#..#.######..#...#......#...#.##..#......##..####..#.#.#.######.#.##..#..#..#...##...#.##.#..##..#.......#.####...###...####.#.#....#.#.#.#.#.#######.#.######..#.##..######..##.#..##.###..##.#...##..#.##.###.##..#####.#.....#.....######..##.####.#...#.#.#.##.###.##..###..##.#.#...###..###.##....#####...#####.#.##...#.#.#...####..##.#...###.###...#.##.#.##.#..#.#..#.##...###.#.##....####..#....###..#.##.##..#.#..#.#..#.#####......###..#######..#...#####.##.##.#.##..####...##.#####...#....#....#....#.###.....#.#.###..#.#..##..#.#.######.###...#.#..#.###.#.#######.#.##.#....######..#...###.#.##.##..#....####...#...#.#.##..#...#..#.#.##....#..##..##....###.##.#.###...#.###....#..#..######.#####...####..######.#.#.###....##..#.#....###.##..##..#.########.#.##..#####..##.#....#..####..##....##.#.###..#.##....#....#..##.##.#..#..#..###..#.#..#######..#.###########.##..#...##.##..#.....##.#...#..##..###..#.#.#..###.##....##.#.#.#...####.##...#..###.##.#.#.......#####.####...#.#.#.#..#......###.##.#..#..##.#.#.#......##.#.###..#.#.##...##.#..##.#.#.##..####....#.######....###.##.##..##...#..#.#..#..#..#.###..#.........#####...##...#..#...####....#.#.##.#..####.##.###.#.#......#..#...#.###..#..#..#.##.#...###.##......#.#....##...#.##..###..#.###.
.#.###.#....#####.#.#.#####...#...###.#...#..###..##....#....#.#.###..############..##..#....#...#..#.#.#.#.#.#.#..##.###.#..##.#.#.##..##.#....###..###....#..#.#.#.##.#.##...###.....#.##.#.###.###.#.#.....#...####..####...##.#.#########...#.#.#..#.#.#.#.#.##.#..#.##.#..##..#..##..######.####.........#.#.###.#......###.###.#.##.....###...##.##.##.##.##.#...#..#...#..##.#......####....#.#..#..#..#.###.##.#####.###.##...#.####.###.#.#..##.#.###...#....#.#.###.#.#.##.#.......#####..#.#..#..##.###.#.##....#.#.#..##.##...#......#.##.#.###..#.##..########..####...#..##.####..##...#.....##..#..#..#.####.#...#....##.###...#.#.#..#.#.#.#.#.####.#.###.##..#...##.###.#.#.....##.###..##..#.#...#.#.#.#..#.#...######.##...##..##...##.#.#...####..#..###...#..#.....#.#.##..#.###..##.##.#...##..#####....#..##.#.#..##..#..#.##....#...#####.#......##....#.##.#####.#..##.####.#...#####.#...###..###.#.#.##.##....#.#######.....#.....#..#.##..#....##....#####.#......#.......#..#.#.#...#..#.#.#.##..#.#..##..#.###..#.##...#..###...##.#.#.#..###.#####...##.#..##.##..####.#####.#........#...#..#.#.#...##########.###.#.#..#.#......####.#..##..###.#...#.##....#...#..####..###...#####.#.#..###.##....####.#...#.###...#...#...#.#..#......####.#..##..##.#........###..##.####.#.##.##..#.#...#.##...##.####.#....#.#..###..##.#.#...#..#.#####.###.#.#.#.#...##.##..##.#..##..##.####....#.###.#.###...##.#......#.#.#.####......#.#....##...######.#..#.###.#.#..####..###..###...#..###.#.##..###...####.#...#...#...##......#..#...#.##..##..#..####..########.#.#.#.#.####.##..#.#####..#.#######.#.######.##....#.#.....###...###.##......#.#.#...#.###...#.######...#..##..##.#...#...#.....#..##.###...###.###.#...#.##.##.#...#..#.####...####.#.##..#...#...###.##......#....#...#.#.####.....#.#....###.#..##.###..###.##..#..##..#..###..##.##.#.#..##....###...##.#####.##.#.###.#...#.##.##.###.#...##.#.##..#....#.##..#####.###..###.####.#.#.#.#.###.##..##..#...#.#..#..##.##..##....#.########..#...##.##.#.##....#...##..##.
...#.#.#.#.###.#..#........#....#.#..##...#.....#...###.##.#..####.....#.#...#.##.##..##...##.#####.#####.###.#..#.####.#...###...#.....#.##.#....#..#.#..####..#..#.##.##.##.............##.#.#......#.#...##..##.##....#.#..#...##....####...###..#.#.##..#..##.....##...##..###...#...#.#..##.##.#.#.##.........###.##.#.#..##..#..#..#...####.##..###...##.#.#.....##......#.###.#..##..##########.##....#.###.#.#..#.#.#..##########.#...###...##.#.########..###.....#..#.#..##..#....##.#.#..#.#.#.#.##.####.#..#.#..#.....###.#####.###..##...#####...##.#.##.#.###.###.#...#######.##.#..#.....##...##.#.#....#.#..####.....#..#...##..#..#.#.##.#..#.######.###.###..#.##.##.##.###...###..########.##...#######.#.#.##.#..#..####..##..##..#####..#.#...#.....#.#.##.#..#.####..#.#.###.####.###..##.#.....####.#.#.#..##.#.#.######...##.##.#..###........##.##...#.##...#..#.####..##.#..###..#.#..##..#....##...##.#..#....#...####.#.#.##....#####.#.#.##.#..##.#..#.#..##.#.#.##.###...#.##.#..#..####.###...#.#.##...#.#.####..#..##...#..###.###..#.#....###.#...###..##...#.#.##...#.#.#.#####.##...#.#..##.###.#.#####....##.##..#...###...####.#....####.#....#..##.#.#.#.#...#.#..##..#......##.#.#..##..#######..#..##.#..#.###......#..###.#####.#.#.####...###.#...#.#...#.###.#..#.##.##.#....#...#..##...#...###...#.##...##.##.#.#...##.#.#....##.#...##..#######...##.....##....#.##.#..##..#.#.......#.##.#...###..#.#...###.#.#....#.#.#.....#####.....####..##.#...##.#.###.#####.##..#....#...#######.#.#.###.#.....###.####..#.##.#..###..#.#.#..#..####.#....##..##....#.#.....##..##..#....#.######.#..##..#######..#.##.#####...#..######..#.#...###..###.#.###..##.#....##..##.....###.##..#.#####..###...#..####.##.#.......#.#.#.#..##...#.##.#..#..##..#.#..#.....#.#.###.#..####.#..##.#..#..#..###.##.#.##.#.........#..#.#..#.##...##..##..#.#..#.###..###..#..##.#####..#.#....#.#..#.#.####..########.##.###.#####.##..##.##.#.#..#.....#.#.###...##.##...#.#...#.#.###..#...##....##....###.#.####..###.#....#.##.##.#..###....#.
#..#.#..#..#....#####.#.#.##...#...#.#....#..#.#.......#.#....#.########.###...##.#.....#..##.#..#....###....#..##..###....##.#..##...#.#..##...#..####.#.#.##.###.......########.#.#.###....##.##....#.....#.###....###..####.#.##.###..##....#....#..#.#.###.#.##.#...##.#.#.#.#.###....#......##.###.#..####..#.#...#.#.###...#.##..#.##..##...#...###.#.#.#...##.#.####.#..##.##.###...#.##...#..##..##.#..####.###.##..##...#.######..##.####.#.#...#....#..###..####..##...#.#.#.#.#.#..#.##..#####.....##..####..##.....#.#.#..##.#.#.####.####.####.###..#.##...######....##.##..##....#..#####..#.##...###.##...####.#...###....#.#..........##.#..#.#####..#.##.#####.###..#.#..##.##..##..#.....###..#.##....##..###...#..##.#.#..##.#...#.##......#.##.###.####..##.#.#..####..#.#..#.##......####..##.#.##.##...##..#.##.##..##.####..####.##...#.#....#..##.###..##..##..#..####.####....#..#.###....#.#..########...##....##.##.##..##.#.###.....#.#..###.#####...#..##.##.....######.##.#.####.#.#...#.#.######..#..####.#.#.#..####.###..#......#.........#..##.#..#.#...#...##.###.....##..##.###.#.#.###.##.##..###..####...#.##....#.#.###..##.##...#.##..######.#.#.#....##..#.###.##..#..#..###.#.#..#..##.#...#..##.#.#.##.#.#.##...##.##.####..##.##...##.#..###....#..###.##.#.#####..#....##.#.####...#.##..######.#.##.##.##..#.#.##....##..####.#.....##...#..#...##.####.#.##.###.##.##.##...#.#.###.#.#.#.##..##.#....##..#...#..#...#.##.#..##.#.##.##.#.###.#.######...#.#....#####...#..#.#.#..#.#.##.###.......#...#...###.########.#....#####..##.#......#...####..#.#.#.###..##..#.###........##.......##....##....#.######..##..#.#...###.#..##.....#..#...#..#.#####..#####.####...###..#..##.#.#.#..#...#.#......####.#.###..#.....##.#..#..##..###....#.#.....###.#...#...##.#..##.....#....#.#.##.#..##.##..#...##.####.#.##......#.#####...#..#..#.###.#...##..##.##.#...##...##.......####.#....###..###.########...###..#..##.#...#.######.#.#.#...#.##...###.##..#.##....##..#.#...##...##.###..##...###..#..#######..##.###.#.....
..#..########.##.#.####..#...##..###.####..##.##.#..###.##..##..##..#.##..#..#..#.###.######.#...###..###.#.##.##.#..###.##.#..#.#..#.#####.....#...##...##..#..#.######.####.#.###.#.#.######...#..#..####.####.####...#.#....###..##.#.#.#.##..########...##.##.#.#..#.##.###.##.#.#.#..##.#..#.#####.....#.#.#....##.#.#.#....##.##.###..#...#.#..####.......##......##.#.#..###...##...#..#.#.##.##.#..#..#.#.###.#...##.###.#.#.##..##.#.##.....##.#..##.....#.#.##.##....#.#..#...###..##.....##..##.#####...#.#....#.#.##..#...####.###...##......##.##.#..#.#..#.#..##....####..#.#.#####.....#.#..####.##########.##...#..#.#.#.##.##...#.##.....#.#.#..#.###.##..#..####.##.##....##.##....##.#..#####.#.#####.#..#....#.###.###.##.#.#.####.#.#####...#...#..###.......##.#..##.#.###.#.###.##..##..#..#.##...#####..###.###....###..#..##.....##.##....#####.####.....####.######.#.####.###..##.####.###.###....#....#...####.#.#..##..#..#..##.#.##.#.#.####..#.....#.###.#..##..#.#....#......####..#.##.##.#.....#.#.##.#.....#..#.#####..##....###.##.###.####.##..#..#####......#.###.##.#..###.##..#.#.##...#.###.#...#.....#.#.#..#....##.#....#.##.##...###..#......###.#..#####......###.#.#.##..###.#..##...#..#..#.#.#.##..#.#..##.#..#.##.############...#.#..##.###..##.######.###..#.#...###....##.#.#...#.##...#.###.#.#.#..#.###.#####.#...###.#.#.#.....##..##.#.#..#..#.##.#.##....##..#.###.######..#.....##..##.#.#.###.##.##....#.#.##...##.#.##...#..#.#....##....#.#....#.###.###.....#.##..###.###..#.#.###.#.#.#.##.##.#.###....##....#.####.#######.####..##..#..##..####..#.##.#......##.#.##....####..........#.###..###.#.###.#...#.#.##..##.#.###...###..##.#..##.#........#.......#...###...#.###.#....#..#.#.###...#.###.######.#.#.#...#..#.#..##.###.#.##..##...#...#.......#.####.###.#.#.#..#.#..#...###..#...#.#...##...#...#######..##.#......#.##.###.#.#.##.#.#...#...#....###.#.#.#.#.#.#...#...#..###..#.#.#...####....#..##.####...#.#...#.#.###..#.##..#....#.##.#...#.#..#.#..###.###...##...###...#.#.#.####.#####...
.....#...##..###...#.####..###.#.#..###..###....#.#........#####.##.#..#.......####.#.##.#..#...#..##.#.#.#...####..#..##.......#.#.##..#####...####.....###.##..#######..#...##.#..#.#.###.###..####.##....####.######.#..#.....#.#.#..##.####.##...#.#.#.#.#.##.####..#.#....#.#######.###..##.##..#.#..#.#..########...####..##.##..#..#.##...##....#..#...#.##.#...#..##..#.#.#...##.....##....##..#...###.#.#..#####..##...###.##...####.####..#..#.##.......##...#.#####..#.#.##...#..#####...#.##..##.###.#######.......#.#...##.###.####.#..##.##.#.##.##.#.#.##..###.####..#.##..#.#.#...##.##.....#..###..###.#...#.#..#....###..#.##..##.#.##...#.#.#..#..###..#.##...###.#...##.#..#.#..#.##...##..####..##.#...#..###.#....##.##.##.###..#######.#.#...###.##..#..##.#..#.....#.#....##..##..##.####.####.###..######.###.#..#.####.#.#..#.##..#.##.##.###....##..##..###..#####.####.#.#.##..###...#####.#..##...#..##.######.######....##.##...##.###.#.##.##.###.#..#..####.##..#..##...####.##..##.#..#.#....###.#...#.#..##...####.#.....#.###......#.#...##.#.##.####...######........##.####..###.######.#.##.#.###.#####.##....###...#.##.####....####.#.##.##.#...###.#......#.#....#..###.#.###..###.###.#....###.#.##.#.....#..#.####...#.######.######.....##...#.#.#.#.##.####.##..##..##...#.#..#.#.#.#..#.#.##....###..#...#..#.#...#.....#..#..#.##..#.#..##...#.....#..#...####..#..###..##.#....##.....##....##.####..#.#.#..###..###.######.##.#.....#....#....##....####.##..#######.#..#....#.#...##.#..#.##.....####..##..#...#..#.###..#.....#.#.##..#.#.#####..###.#.#########....#..#...#...#.....#..#.#..####.....##...###.#.#..#####.#.##.###..#.#..##....#..#..#.######.....###.##.#.#.#..###...##.##...####..##...####...#.####.#..#.#....#.##.#.####..#..##...#.#.##..######.####.#.##.##.#.##.##..#...#.#.###.......#.#....#.#.#.#......###.##.#.###..##.....#.#.##.###....#..#.#..####.##.##...#..###..#.###..#..#..#........#...####..##.#.#.##.#..####.#...#..##.####.##..#.##.#.#..######..##..#######.###.#.#..#.#.....####.#.#
.####.###.##..###..##.#.#.###...##..##..##..#...##.#.##.#.#.#.#...###.##...#....#.#..######..###...#.#....##.######.....##.#...#..###......##.#.##.#.....##.#...#.#..#.###...#######..##.####.####..###.......#....#.#.#..##.#####..####....#.#..####..#.#.##.##....#..#..##.#...#.##.....#.##....#...#.###..#..#..##.#...#..##....####.#....##.#...#.#####.#..###.##....##...###..###.#..#.##.#####..#..##..##.....##.#..##.###..#.#.#..#.#.#.......#..##.###..#.#.#..#.##..#.#.#..####..#..##......####..#.##...#.#.........##.#...##..##.#.######.####...##..#####.#.#..........#.##.#..####.##.##..##.##.......##....#..##...##...#.#.#.....#.#...#..#..#.#.#.##.#...#####..#......#..###.#...#.##.##...#...###...#.#...#...##..####.#.##..##...####...#.#...#.#......#..#.##.#.##.####.#..#.#....#...##.####...#..###..###...##.....#..#...##.#..##.##.#....#.###...#.##......#####..##..###.##.#.#..#####.#.#.###....##..#..####.#..#...##..##.#.#..###...#..##.##.#..####.#..##....###.#....#.####.#.##.#...##..##.#.#.##...#..###.#.##...#...##.#...#...#...#.#..#..####...###..##..#..#.#..#.##..#..#..#..##..#####..##.#####..#.##....####.#.#.....###....#..#.#.#####..#.#..#.......####.#....#.#..#..####..##.##..####.#......#####..##.#####.##....###..##....#...##..##...##..##.##...#..####.#..###...##..#.#..#.#.#..###....####.##...##..##.##.####.###.#.#....##.#.#..##..#.#...#.####....####...#.##...#.#...##....##..#.#...#######.#####..#.#.##.######...##...###.###..######.......###....##.#..###.#..#.##.#.##.##..#..#.#..##.##......#...##..##...##.#.#..##...#.##.....####.#..#.###..#####.##.#.#.#..#..##.##.####.#.#.#.####.#...#...#.##..##....#.##..#...##...##...##.#.#..#.#.#...#####.#.###.##..##.###.####.###.##.#.#.##.#.##....#.#..##..#.#..####.#.##...#.#..####..###.......####.#..##...#....#..#.######.#...#.##.#...#.#..#####..#.##.#..#.#.####.#..#.###...###..#.#..##.#..##...#####.###.#.#.##.##.#.......####.#.#.######.....###.##.#..##....###..#.#.##..####.#...#...###..##.#..#...#...##..#.#.#.##....##.##.####..#...#.#....#
###......##.####..#.########.#.#.#.##.########.#.#..####...###...########..#.....#.....###..#..#..###.#.#..###.#..##.####.#.#.##...###.#.###...###.#...##....###.#.##..##.#.#..###.######..##.....#...#.#...#####.##.##.#..##..#.###..#..#.#.##..#.###..###.#.#...#..#........##..######.###...#######.###..#...##.##..##.#....##..#..#.#...#..#....##...##..##..#.#.##..###.##.#..###.##..####..#.###.##########..#..#.##.##.#####.##.#.#...#.#####..##.##.#..#####...#.#..###.#.#######.#.....#.##.###.#.#..#..##.#...###..##.....##.....###.########.###..#..#.#.#.#.#....#.###.#####..#..###..#..#####....#.##..#..#.###.#..#####....##...#.#..#..#..##.#..#..##...##.###.#...###.#.#.....#..#....#######.#.#.###..###...#.#.#.#.#.###.#..#..##.###.###..#####.##..#.#..#...##.#...##.###.##...#..#..#.#.##.#......##..###.#.##.#.#.....###..#.##..##.#...#..#.....##.#.##.#..#..#.#.#.#..#.#...#.##...#..#.##.####.#.#.#..##.#.###..#...##.#.###.###..##.......#....######.#..#..#.#.#####..###.####.....#.##.####.######.#.#..#.#..#.##.###.#...#..##.#..##..##..##.####.##.#.##...########...###...#.###.#.#..##.##.###.##.#...#.....#.#...##.##...#..#..###.##..##.####.##..########.###.##..#.##..#..###...#.###.#..#...#...##.#.##.#.##..##.#.#......###.#.#.#.....#.#...##..#.###..#.##.#..#...#..###.###.#.#...####..#...##.##.........##.##.#######.###.##..#....#....####..##.#.#.#...###...#####..#.#.##.##.##..#..##..#...####.##.####.####.####..#....##.#..#.#..#.....##....###..#.#.#.#.###.##..#.#...#####.#.#......##.##.....##.#.....#.##.#..#.#####.....#.#.#..###.##..##.....#.###..##.#..##..#.###.#.###.###.#...###.....#.##...###.###..#..##....#...##...#.....#.###.##..#.....###...##....#.#...#.#..#..#..#.#....##.####..#....#####..#..##.######.#.#..##....###.###..####.#.#..#....###.#.#..##.....#..#..#.###..###.#...#.#.###.#.#..####.#...#.#.#..###.##...#.#.##.###.###.#..#.#..###....##.##...###..........###....#...###...###.#.##.#..#..#..#..###..##.#.#...##.#.##.##..#..#..##.#.#.##..##.#.#.##..###.##.#..#####.#.#.#.###..#####.#.
##...##.##.#..#.#.##.#...#.#.##......#..#..###....#########.#..#######.####..........#..#.######..##.....#.#..###...###.#..#.##.#..#.#####.#..#..##......#.#....##..#...##....#...#..####.#..#...##.##...#..##..###.####.#..##..#.####..#.###.##..#..##.#.##...#.##.###..###..#.###.#...#####.#..#...#.###.#.#..#.#.######..#.#.#.##.#..#..##.#.......###.###..##.##...#.###....#.##.#.##.######...#.##.##.#.##.#.##..#.###....#...##.##....#.##..#....##...#..#.#....#...##.#####..###.####.##.#....####....##.#.#..############.##..##.#.#...#.....##...###..#########.#..#...#.#...###.##.###..####.........####.#.....##....##..##..###.#..#..#..###..###..##...#.###..##...###......##....####...#.......###.##..#.##....#####.###..##.#.###..#...#####.#.#..##..#.#..#.#.#.#.....###.#.##...#.#####......##...##.#.....###..#####....##...#.##.##.#.#......##....#.#.##.....###..###..##.#.#....#......#...#..##.#.....#.#.#..##...#..##..##.#.#....#.##...#.#.###......###..#.#.###...#.##.#.####..#......###########.#..##...#.##.###.#...#...##.#..##..##..#.##....#.#..#...######.####.#.#....##.#####..#........#...##..#.....##.....##.#.######.###.#...###.########..####..#.....#......#....##...####.#.#...#....###.##..#.#.###.#..#.####...###.###.....###.#.......##..###...#...###.###..#####.####...#..###..##.#.##...#..##.###..##.#.#.####..####.#.##.#.#.....####.#...#..##..##..#....#..#####.#.#..#####.##..#######.#...####.....#......###.##.#....###.##..##....#.#..#....##..#..#.#.#.#.#.#.#.#...##...###.###...#.##.....#.####.###...##.#..#.##.#.#..#######.##..#.#.#..##...#.#.#.########.##.....###.##..#.##.#.###.#...#.#.##..#.##..#...##......####..####.#..####...#.#####.....#..#...######..#.#.###..#.###.#.#...#.#.#....#.#...#...#...#.#.####.#..#....####.######.#....###.#.#..##.#......##..####.#.#..###.##.###.####.####...#.##.#..#....##.#...#.#..##.#.#.#.#..##....#...#..#.###..####.#..##..#####.##.#..###..#.#...###.#..###.##......#.#####.###..###.#.#.##...#....##.#.#..#.#.#.##.#.#......###...##...#..#....##....##..##..
#....#.####.######...######..#..#.##..#..#...##...#.....######..#############......#..#.#..#....###.###...#.##.##...#..##...#.####.####.#..####.##..#.......#.#####.##..#.###.##.##.#..#####..#...##.#..###..#.##...#.##...#......##..#...#.#..###.##......#.#####....###..##....##........#...#...#.....###...##...#.#.....####...##.#..#...##..##.##......##.##.#...####.########..#.###.#.#.##.....#####..##...#.######.####..####.#.##.#...#.##......#..#....####.#......#..#..###..#####.#####..###.#.....##.#.#..##.####....#.##.#...#..#..#.#####.#.#..#.##.###.#...#..##..#.#..#....#####.####.#.###.#.###........###..#..#.##..#.#...#...#.##.#.#.#######....##.#....#...#...##.#..#.###.##..##.##.##..###.#..#.####.###.##..##..##...#..#.#.........#..##.#####.##...#..####.##.###..#.#...##.#.#..#.##..#....#....##.#.#####..#.....#.#.######..#.##.##.##...#####.........##.#..####.#..######...#......#....##.#.#......##.##....#.#####.###.#...###.#.#......#.##...##....#####.#####..#.#.#....##.##..####....##.##.###.#.#####.#.......#....##...#.####.####..######..###.#....##.##.####...#.#######....##..##..#..##..##.##....####...#....##...###..######......##.#..#.#..######.....###..#.....#.#.....#..###..##.##..######.##.#.##.##.#..##...##..#.#.##..#...##..##..##.#..##.#.##.....##.#.#..####.#..####.###.##.###.####.###..#..#.#######.....#.#..##.#..#.###..###...#.....##.....###...###.##.##.#....#......##..##.#....##..##.#...##...#...###.##.#.#.###.##.####..#..##.########...##..####.##.##.#####.#####.#...#####.#..#.......##.###....#...##.........#.###..##...#.#####.##..#.####.#.##..#.##.###..###...#####....###.#..#.#.####...#.###.###..#.#.#####...######....#..##....##..##.##.#..#.#....##.#..#.#.##..###..##.####.....##.#.#.#..#.#..##.#.#......#.....#..#.##.###.##.#.#.##...######...###..###..#.#..#.#.#.#..#....#####.#.....#.##...#...##..#######..#.##.###..#.###.###.####.#...###....#.#.....#.#.##.#.#.###....#.##....###.#.#.#.#.#..#####.#..#.###..###...####.#.####..#.####....####.#.#.#.#.##..#..#..##....###.
##..###...####.##.#..#...#.######...####....##..#..#......#..###.###.#.###.#####...#.......#..#.##.#..##..#####..#####...#.#..##.#..####...##.##.#..#..#.#.#.#...#.#.#....###..###..#...#.##.##.##..#......#.##.##.###..##.###.##..#.##.#.#....##.##.###..##.....####.#.####.#.#..##.##....##.####...##..###...##.####.#..#..#####..##.#..#...##.####..#.#..#.#..##...#.###.##..#...#...#.#..#.##..###..#.####..#.###..#.###..##....##..#.#.#.#..#..#.#.#.#.##....##....#..#...#..##.##.#.....###.....#.####....#.###.##.##.##.#.#....###.##...#...#.#..##..###.##.#.######.#.#...####.#.#.##....#.#...##.##.##...###.#.###.#.###..#.##.#.##.#####...#.#.#......###..#....##.#.##...#.##......#.#..#.####.#..#.#.###.####.###.##..##...#..###.#.##.#..#.##.#....#...####.####....#.#......#..#.#.#..###...####.#..####....#..#.....#..###.##...##..####..#...#.#..#.##.###..########.....###.#.##.###.#.#.#.####..######.###.###.#.#.##..##..##...#..##.#..#####.#.###...#.###..#...#####.##..##..#....#.#..##.#..#.#....#..##.##.#.#...#..##.##########.##.....#.#...###.###..#.#....#.#...#...#.##.###..#####...#.......#...#..####..#.#.##..##.#...##...##.#.#.#.#..#...#..##.#.#..##.########..###...#.##...###.#.#.####....##....#####.##....##...####....#.#.#.###.#.#..##.##.####.##.#.#.##...#...##.###...####.##.#...###..#.#..##.###.#####..##.####...#######.##.#.#........###..##.#.###.##....#.###..#........#...###.#.##.##..#...#####..##..##...#.###..####....#.###..#.#.##.##.##.#.#...#.#.......####.#.#####.#..######.#..##.#####..####.##.#.#.##.##.##...##..##.#.#.##..##.######.#..##.#....####.#.#..####..###..##...####...##.#..#.#.##.#....#...#.######.#...#.####.#...#.#....#.#........#.#...#..#####.#...##.###..##.#..##.##..#..###..#.#.##...##.#..#.#......#...#.##...#...##.#.##.###..#..##.##....##.#.##.#..##.#.#######....####.#.####.##.#.......##.......#.#.###.#.#...#.#.##..#.#####...#.....##.###.#.#####...#..##.....####.....#.##.###.###...#.#.#..#.#.##.#.#.##....#...#.##....##..##.#....###..##.##.#...#.#.##..#..##..###.#.#..##.
..#...##.#.#######...##.....#...#..###.##....####.##.#..##.###..#...##.###.....#.#.#####...##.#.###..#..#.....######.#.#.###.#..####.#.#...###.###.###.#..#..#.#.#...##...###..###..##....#..#...#...#.#.#..#.#..#...#..###..#.###.##.#..##...#.##.#..#..###.#.##...##..###.#......####.#.##..#...#...#.#.....#.#...#..###.....##.#.###.#.#..##.#####......###...##..#..##..##.#..#..##..#.####..##...##.#..##.###.##.#..#.##...#..##############..###.#.###.......#.######.#..#.......######..###.....###.#.#.###.#....#####..#####....#######....##..#.######..##.#.#...#..##.#..#..#...##.#####...##.####.#.#.##..#####.###.#..#.#.##...###.##....##.###....##.#..#..#...#.#.#.#.###.#..##.##.........##..##...##.##....#...#.##.###.#..###..#####.#..##.#.###.##...##.####..###....#.#..#.####.#.#......#.#.###.#.##.###.##.#.##..#.#..######..##..##....#.#...#.####....##.#...##.#.#...###.#...#######...#......##..#.#..##..###.###.##.......###########.##.....####.##...#..#.....##.#...#.#...#.#..#.####...##.##.##.######......####.##..##.##.##.#..#.#####..##..#...##..#.#.##...#...####.#...#.#...####.....#######.##.##..###.##....#...##...##.##..#.#####.#..##..##...##.....#.###..#.###.#.##.#..#.#####...##...##.###.##..##.####..##.##.##.#.##..#..##.#...#..#.##..##.#..#.#...#....##.#.#######....#..#.#.##..##.###.##.###.....#.#####.....#...#..###..##.###..#..###.#.....###.###.#.##.#.#.##...##.#.##..##.##...#.#..##.#...##...##..######..##...###...#.....##.########.#..###.#.###.##..#.##.#.##.###...#####......#.##.#.#.#.###.##.####..###..#.##.#..#####.#..###..#..#.#.#.......##...##..###......#.######...##.#######.#.#.#####....###.#.####.#...#..##..#.....###.##....###....####...######.#.#.#..#.#..#...#.#...####.#...###..##..##.#...#...#.#..#.##.#.#....###...###...#####..####..#####.##.#######....#....##.##.....#.#.#.#.##.###.#..#....##...#####.#..#.#.##..#.#..#....#.....#.##.#.######..####....####.#####..##.##.#.#####....##..#.........##...###..##.....#...#...####..#.#..###..##.#.##.##.#..##.##...###..##....###.#.
#.#.#.....####.####.#...#.######.#.#.###.###.....#..##.#..####..###....#..#....##..#.##.###....#.###...#..###..#.#.#.#.###..#.#...#####.#..##..#.###.#.####.###...##......###..#####.###...##.######..#...#...##.###...#..####.###.#......###....#.#.#.#.##.#..#.#.#...#........#.##.#..#.#.####.#..##..###.#.#.....#..##..#.######.####..##.#..#.#.#.#.#..#..###..##..###.##.#..####..#..##.#.#.#.#.##.#...######.#..#....#...####.#.#.#######...#....##.#..###..#...#..##.#..##..#...#..#.##..###..###.#.....#.#.....#...#...#..#..#####..#.##.####..##..#.#.##....#.###...####..#.###.##.#.#...##.#.#..#.##.....##.#...#.#.#.#..##....#.###.#.#.##..#...#...##..#.#.......#.#..#....##..##..#.###..#.##.#.##...##...##..##.#..##.#...#..##.##..##....#...###..##..####..#..####....#..#.....######.#........#######.##..####.#..##.#####..########..#.##..##.##.####.####.#.##.#.####.##.#....#..#...#.#..#...###..#####.#...#.#.##.#..#.#.#......##.###.#.#######.#...###.##..#.....###.#...#.#.#.#.####...#...#.#..##.#......####.####.###.#..####.#..####..#...#....#..#..#..##.##.#..#.....#....##..#..##.##.##.#.###...##.######...#....##...#.#.....###..#....###..#####.#.#####..##.#.##..##....#.##.#....##.##..####..###.#.#.#....###.#...######..###..#######.##..###.#..#.......#....#.#.#.#####..##.#.#...#.#...#...#.####.###......#.###...#..#...###.#....##..#...#.##.##.......##.###...####.#..##.....#...#.###..##....#.###.#..####...#.#.#.#..#.#...#..####.#######.#..##.#...#.#..#####.#...##..#.....##.....#..#..#.###...#.#...#.##.##..#.###..#..#.#...#.##.##..##.###..#.#.##.##.####...##...#######..#.#.####..#..##.#..#####..##.##...#.......##..####.#..#.##.#..#.##.###.#..###.#......###.####.###.#.#....##..##.##.##..##...#....#..###..##.######..###.#.#######.#....##.###.#.##.#.#.###.#.#.........##.......##.##.##.#..###..####.#.#.##..####.####...#...#...#....#..###..########...#.##...##...#.###.#...####.#..#.....###.#...#..#.#.###.#....##.#.#.#.#..##.#...#...#.....#.#....#..##..#.........####.#.#..#...#.#.#.#.####.#.###.###.
....##..#.#..#.##..##.###.#..##.......#.....##.#..##......######.....#..####.#.###.##..#.....##..###..##..##..###..#.###.#..###..##.#.##.###..#.#.....##.#.###.####.#.#....####.###.#.####.#.##..#...#######..#..#.#....#..###.......##.#.####...########.#......#.###...#...###.###.###..#.#..#......##.######.#..###.#.#..##.#..##.#......#.##.#.#....###.....#.#..#..##.#.###.#..#.###.#..###..#.#.#.#.###.....##.##...#.##.##.##.#..#.#.######.##.#.#........#.#...#.#.#....####..#.#####...###..#...##...##..####....###..##..#.#.#.##.#.#####.....#.###..#.#####..#.....##..#....#.####.####....#.##.#...###.###.#.##.#...#...####.##....#####..#.##.#....#.#.#.###.####.##..#..#.###..###.###...###...#..##..####..#.#.##.#######....##..###.#.#..##...#.#.#.#.#..####.#.#.#.....##...######..#.###.###..#.#..##.#.#...##...#.##.###.##.#.#.#..#.#..#..#.##.###.#.#..##.#.#...#######.....##.#.###...#.###..#..#.##..#.#.###..#.##...##.###...#.##...#.##..###.#....##.##.#.###.###...####....#.####.#.##.#.###.######.....#####.#..##.##.#..##.##.#....#..#.####.##...#.##..###.....####...###...######..#...#.#####........##.#.....#.###..##....#..#...##..#.#......###.......#.#..#.###.#.#..###.###.....#...###.#.##.##.#####....#..##.######..#...#..#.##....#.##..#.#.####..##.........#.....#.#..#..#.##.##...#.#..#####..#.#..####.###..##.#.....###..#.###..#..#..##..##..#.#...#..#..##.#.####.#....##.#.#..#.#...#....#.....##.###..##.......##.#....##.##...#.##.#.#...#....###.###....##..##.#..##..###...#.#.##...#......#.###.##..#####.#####.#..#.#...#..#.#.#...#.#.##.####.##..#.#..#.##.#...#####..#.####.#.####..###.#.#..###.###.....#.##..#####.####...#.##..#.....#..##..##..####....#....##.###.###.....#.##.#.###....##...####..##..###.##.###.#.###.....#.##.......#####.#.##..###....##.######...##..##.#....##.#..#.##..#.#..###.#.#####....##.#..##.#..#...###.###..##..###.#####....##..#.##.##...#####.##..#.####.#.#...#.##.###.#...###....#..#####.#..#...##.#.#...###.#.#.##....#..#..#....#.#.##.#..##...#.##....##.#.#.#...##.##...#
#.#..##.....#.####.#.#####.##..###...#.##...........#####..###.#.....####.##.#.....#...#.....###...#.#..#..###.##.###..####..##..###..##.#....####.#.#.#..#.##..#.####.##.#.#..#..###.##.#.#########..###..#...#...###.#.#...##.#..#.....#.#.####..#.#.....#..#.##.##..#.......#.###......##....###.#...#.####...###..#....##.#.#.##.###..#.#......####..#.##.#..#.#..###.#..##....#.....#....#.#.####...###....##.#.#...##.#...#.#..#..#.######.......##.##...#...#####..#.#.##...##.#..##...##.#..#....##.#.#.....#..##...####.#.##.#......#####..#####...........#.####.#.##...##.###.#.##.#.####.#..###...##..#.#..#.##.##.#.#..####..#.##..#.##.#.##....#######.#..#.#..###.#....#....#..#.#######.###....####...#.#.#....#....#.#.#.##..###.#.##.#.#.#...#.#.###.#.#......#..#.#.##...####.###...##..##.##.##.####....#..#.###.##.....#....##..##.#####...###..##..######...###..###...#.###.#...###.###.#.#..###.#.#.#...#.#.##.#..##.#.#.##.######..#####.#..#...##....###..#.#.##.###....###.#.#.#######..#.......#..#.###.......#...#.###...###.#.##...#.##...#.#....###.#.####.###.###########.....#..##.##.###...####........##..##.##..#..#.##.#.#.##.###.###..#.#.##....#.#...#...#.##...#..#..####.#.##......#..##.#....#.#.....#..#.#......###.###.#..#.#.##.#.#.#.#..#.##...#..#....###...##...#.##.#.####.#...#.#.###.####..#.#.....##.##....#######.##..#.#..#...###..###..##..#.##.#.##...##.#..####......#..##..#..##....#.##...#...#..##..##....##......#.##..##.##..##......#.#.####...##..##...#.#.##.#.#.#..#..##...##.#.##.#.#.#....#..##.#.###.##..#####...#.######.#..##..###.##.#......##..####.#.#.##.......###...##.#...#.##.#.###..##.##.##......#..#....#..##.##..###.##.....##...#.######.......#....#.###...#.###.#.###.....#.#..##.#...###.###...#..####...#.#..#..####.##.....##.#.#...##.##.#####..##.#.##.##.#..##..#..##.###.#######..#..##.####......####...#.#.#.........#.##..#####..#..##..#.#.##..#....#..........#...#.#...###.##..#.#.##......###..#..##..##########..##.##..#.....#...#.###.#.####...#####..#.##.###..####.#....
#.#.####.######.#####..#.####.####.#..##..##.#.#.###............####.##.#......#..##..#.###.###....####.#.#..#.#########....#....#..#.#.#..#.#.#..##.#.#...#.##.....#.##.###.#.....#.#..#.#####.#####..#...#.#.#...##.###....#.#.##.#.#..#...##.##.######...#..##.##.....##....#####.####.#..##...#.#.##...#...##.###...#.#.###..##...####.##.#..#...##..#.###...#.##...####.###.##...#.###.#..#.##.###.###..##...#..#....#.##.#..#.##...#.####.##..#.#.#.#...#####.#..#....#.#.#...#####..##..##.#.###.#.####.#.######...##...#.#.##..#.#..#.#.##.#####..#..##.#.##..#..#.#.###.##..#..###..#....##....##..##..###.#..#...#...####..###.###..#....####....##.###..#..##.#.####.######..####..##.#..##.#.....###...#.###......#####.##.##.##...###..#####.#####.#..#.#.##..##..#....###.###.....#.#..#.##..#.##.#####.#..#..#####....##....#.#..#.#..#.#..#.##..#....#####...###...###..######.....#..#.##.....#....#.#####..###.#.#..##.#...##.....####.##..##.#..##.##.#.#######....#..##.###..##....#...##..##..##.##.###..#...#.###...#.#.##.##..##...###....##.#....#....###..#..###......#.#.##..#....#.#.###.##.....#.#.######.#.####..########....#..###..##...#.#..#...####.##.#.###.#...#.#...#..#.###....##..#.#.....##.#.##..#.###.#.#.##.#....###....#.###..##.#...########..##.####..#..#.####.##..###..##..##....##.#.####..#..##...#..#####.#.#.###.#....#........#..#.#####...#...#.#.#.#.###...##.##.####.#..####..#.##..#.#..#..##.#..#.##########..##.#..#.#..#.#..#..#..###...###...#...#.###.##...##...###.#..#.#...#.##.#...###.###..#...#.#..##.....##.#.#.#..#.#.#.#.#...###.####.###...##..#.##..###..#......#####..##...########.#####...#...#..##.###.#.#...###.##.###.##....####...#.##.#......##......##..####.#.....#.###.###..#.#..#####.#..#.#.#...###.#####.......##.#..##...#...####.##.#.###......####..#...#.##.####..##.##..#.#...#..#..#......#####...#.##.####..####..##..##..###.##.......#.###.##.....#..#.#.##..###..##..#..#..###.######.###.##....#.###.#.####.###.##..###.##.#.#.##.##..#...##..#..##.#......#.#....#..#....###...
##.#.#.###.###.#.#####.####..##.#..#.##..###....###.#####..#..#.#...##.#..#..#.###.#..##.#######.##.#..#.#..#....#.#..##....#.##...##.#.#.##.##.##.#..#..##.#...####..#.####..##....####..##....##.#####.#.###...#.#.#######.##.####.##.#####..#......#####...#.#######.#..#.#.#..####.##...#..#.#.##..##........#.###.#.#.######..##.#.#.###...#.#.###.##.#......##.#######......#..#.#...###..#......##.###..##..##..#.##.##..###.###.#..#..###.###.#.###..##.#.##....#....##.#..###......###..#.##.#..#.#.######.##.##########.#.#.##.#.#..#.#..###.#.#...##.####..###.#.#.#.....#.#.#..####..#.#..#..#.##....####.###..#..##..#.#..#.#.##...#...#..##..##.#.##..##.#..#....####.#.##..###.##...##....#.#...##...#.......###.##.#.#.#.#.####..###.#.#.#.#.###.####.##..##....###..#.#...#...#....#.#...#.#.#.....#.#..######.###.#.#.####..##.#.....#.###.....#..#..###..###..#..#.###.#..#..##.#..####...###.######.##......#...#.##....#.##...######......##...#..##.#.#.......#######...#.#.##.####..###.#.#....#..##...#..#.#######.....###.#.##.##.##....#.#..###...##...##...#..#######...##.....#.....##..#####...#.###.##...#....####..#.#########..#.##..##...#.#....#..#.#.#.##...#.#.###.##..##...##..#...#.....###...##.#..#.#####..#....#.#.....#..#####....##...#.#..####.##..##.#####......#.#..#..#...#....#.#.#...#........##...###...###.###..#...#..#.###.##...###.####.....#..#.#..###.##.####...####..#..#.#.###.#..###..#.##..#.###..##.##.##..#..##..#.#.###....####.##..##..#.##..#.##..#...##.#.##...##...#.....##....###..#..#.#.###.#####..#..###...#.....##.....#..#..##.#.###.##.###.#....##.#.###.##.##..###.###.#...#..#....##..#.###.#.#..##.#.###...###.....##..###..##..#.##....###.###...#...##..###.#.#.##.#.###.....#.#..##...#.#..#......##..#.....#..#..#...#..#.....#..#.##.......###.#.#.#....#..###....#..#...####.#.###...##..##..#..###.#.#.#####...#.##.####.#.##.#..##.###.####.#....##.###.#.#.#.#.#.#..........####.###...#..##.....###.##..#.#..###.#.####..#.#..###..##...#.##.#..#####...###.##.#.#...#....#..#...#.###..#
.#..#.#.......#.#...#......###.#...#.#.###..###....###.#.##.#..##.#..#.######..#...##..#.#.#..........###..#..###.#######.#..###..#..##..#######.#..##.#..##.#####...##.#.#.#.#..#.##.......###.#....#....####..##.#.####.#.####.##.#######.####..#.###.##..#.#..##..#..#...##.........#.....#.##....#.#.########...###.##..###.#.######..##.##.#.#.##.#####.####..#.#..####.#.##.#.#.#.#.##..#.#.#....#..#.###....#....#..#.###...###..#.#..####.###...#...###.####.##.#.##..#.....#.#.###.##.#.#..##..#...##.#.#.#...#...##..#####......######.#.#.......#..##.####.#....##.######.##..##..#....#..#.....###.###..###...#..##.####...#..###.###.###.#.....#.#.........##.....#.##...######.........#....#...##.#.#....##.....##.#..#..##.#..####.#.#.###.#...........#..#...###.#.#########...##...###..##.#.####.#.###.##..##...#.......#....##..###..#...###...###.##....########.##..##.#.#.####.#..##..##.#...##..#..#..##.##.######.######.##...##.#.#.#..##.#.#####....###...#..##.#.#.##.#.#...###.......#....##.##.#.####....####..##..#.###.##.#.###.#..#..###.###.###.##...#...###...#.#.#...#.###.###.#.#.#....###....##.#..###..##..#....#.###..#....#..##..#.########...#.####.##......#####.#.#.######.##..##.##.#..##..#.#.#....#...#.#..###.####..##.#...#..####....##..#.#####.##.##.##..##.##..#..##..#.#...#...##..#####.......#..######.##...####...####....#####.....##.##.###........##.###..#..###.###.##....####.###.#########.###.##...###...#.####.#.##....#.#.##......#.....#.##.##.....#..##.#..#..#.#.#....##..#.#.....#.#.#..#..##..#.#.....#.....#.##.#..#.#..##....#....##..###...#.###.##.##.#.####.#....#..###########...###.##...#.....#...##..##.#...#..###.###.#.###...#.#..#.####..#.#.##..##.#...#.##..###...#.#.##.#.#.#..##...##...#....###.###..###...##.##...####..###.#.#........#...#.##..#.#....#.###....#..##..#...###..#.###.#####.#.#..#..#...#.###..###..#.###..####.###.########..##..##...##.#..#.#.##..#.#.#..##..##.#....#.#....###..#.#...##.#.##.......##..#.#.##.##.###.#.#.......######..####.####...#..#.#..##.##..
...#.##..#..#..#...##.#....#.##...##.##..##.#..######.##.##....#.#.#.#.#.#.#.#.##..###.#.##......##....##.....#.###..#..###..##....#####.#..#...#....###.#.....###....###...#.#.#.#####..##.##.##.#.#.#..#.##...#...####.##.##.#.#..#..#....#...#.#..#...#.#.##.######..###.#....#.#.#..##..#########.#.####...#.........#..#......#..###..######.....#...#.#.#..##..##..##...#..#..#..#..#.....##.#.#..##..#..###...#..#.############...##.#.####..#.##.#..#.###.#....##..#.##..#.###.#.#..#.##....##.#...###.....#.#....#..#..#####.#...#...###.#..#.###.#..#.###..##....###...##.##.##..##.###.#.##....###.###.####..#.....##....##.###.###.##....#.#.#.#.....###.##..#.#.#######.#.##.#....#....###...#..#.#...##.##....##.#..####....#.#.#.#.##..###..#.###.#.....##..##..#...#....##.#...#.###.#.#######..##..#..##..######..##.#.#..#....##.###.#.#...#..#.##....#....###.#.#.#.#....#.##....#..#.#..#.##..#...##.#######.##.####.##.#.##.#####..#.........####..#...#.##.#.##.#####.#####..#.......####.##.#.#####..#...#..#.....###.###.#.###.#...##.#.#.............##.###....####.#.#.##.#####.##.#..#.#...##.#..###.#.##..##.#...###..####...####..#.####..#.#.##.#.####.#....#........#.#....##..#...##..#..#.#.#.#..##.#..#.#.....##..####.#...#..##.#.#...##.#...##..#.#..#.#...##...####..#.#..###..##..##.####..##...##....#.#.#.##.##..#.####.##...####..#....#######.##.###.###..###..#..#...###....#..###.#####...##..####..#..#...###..#.#.#.###..##..#...###..###.##.#..##.#.......#.#.##....#.....#.#...###.###.#.###.#..#.#.####..##.#####..#.###.###.###.#.##.#.####.....#####.#.#.#.##.##....###.##.#.#..#..#.##..#.##.#...#.#...###..#.#.#.......#...#..##..####.#.##.##..##.#.#..#...#.......#.#.#...#.#...#..#.#.#...#.#..#..###.#.#.#...#.#.####..##.#.##..#...#######.###...#..#..##..##.#..######.####.#.#....#...###.....###..#..##...#.#.###....###.##.#..#..#....##.....##.##.#.#.#..#...#..##.###.#.#.#....#..########.....##.#.###...##....#.##..#.####.#####..####.#.###.#..#..#####.#.##.#..##...#.###.#...#..##.###..##.####.#.####..#.#
#...########..#.#.#...#.#.#####.##..#.#####.##.......#.##..#..###..#..###..#.#.#.#..........#.#####.#.###.##......#.###.###..##...#..#.######.#.#...##...#....####.##..#######.##..#..#..#.####.#............#..###.##..#.#..####........#.##.#......##.....#.#.##..###.........#.#.##..####.#....#.#.####.#.##.#....##..#.#..#####..#..##....##...##.##.#.#.##...#.#.###..##.##.#.......#..#.#.##.##..##.......#.##....#.#.#..#.####....##...##......###..##...#####.##.#..####.#.#.#.##..###.####.#.#..#..#.#.#.#..#.#..#...####..##....##.#####.#.#..#..#.....##.#########.##.###..#..###..#.#.#.#.#.####.###..#.....#..#.####..#.######..##.#...#.#.###..###.#...##.##.##..#.#.###.....###...#######..##.#.#.#..####.##..#.#.....#.#.#.##...#.#.....##.###..##...#.#..##.....####...##.##.##.###..#.#..#......##....##.##..##...##.######....###.#.###..####.##...#..#.#####.#.#..#.###.....#..#.....###..#########.#.#.###.###..##.##..#.#.###..#.##...#..###...##.#....#.#####...#...#.#.......###....#.#.#..#.##...#....##..###....##..##.##....#...####.##.#......#.###..##.#.#..#..#..##..#..###.#.#..###.##.#...##.##..####...#.###.##....#.#.#.##.......#..###...#....##.#.#.##..###.#..#.###.#.#...##.#..##.....###.###.###...#.#..##.##.##.#####.###.#.#...#.#.##....#.##.##.####...#.#.#####.#####.##.#.###.###..###.##.#..#..#......#.###...#......#...#.#.#..#.......####.###...#.#.#..#....#.#.##..###.##..#.###.#...####.....##.######..#.#.####.#...#..####...#####.######..#...######.##.##.#.....#....###.#.#.....#..##....##.#.##.#.##...#...#......###..##..#...##...#####....#..###....#....##..#.#..#####....##.###..#.#..#.....#####..#####.##.#.#.....#.###...#...###..###.###.....##.##.#.#....#.....##..####..##.#.#.#.##.###.##......###.##...#.#..#.....##.#.#.#..#.##..####...##...#...###....###.#.#.#...##...#.#..#....#.##...#.....#####.#.....##..##.##..##.####..#..###.##..#.#.#..#.#.####..##....##..###.#...#..#.##...#.....#..........##.#..#.#.########...####..#.#.###..###.#.##....##.##.....####.#..#...#..#.#....###.####.#.#.##.#
#...#...##.#..#.......#.......#.##....###...####.##..###.#.###.#..###.##.##...#.##.###.#.#.#....#..#..#.###.#..##.####.#.####.##....#....#.##.#.######...###.#.....##...#.#.##..#..#.#....#####.###..#..##......####.#.#####.####..#.###.##..#...##..##..#.###########.###.###..#...###.##.###.##..#....#######.#...##..#.#.##.##.####.####.#####..##..#...#..#.#.#.#.#.....##.###..###.#.#.#..##.#.#..###.#.#######..####....####...####.#.#.#.#.#......##...#..#.#..#.##.#...######.#.##..##.####.#...#.#.#....##...#.#....#.##.#.#.###..#.#.####.#..##....###.###.#..#.###..#...#...#.###...###.#####.####.##..##.##.#....####.#....#..####...#...#.#.#.##..###.#.#..#...#..##.##........#.###.....#...#...#.###...#.#..###.#.####.#.#...#.....#...##........##.#####.##......#...#####....##..##.#.#.#....#.#..##...##.#.#.#..#...###..####.......##...###.###..#..#######..###.##.#######.#.##....##..#.#..####.####..##.#.###.##..#..#.#...###..#...#..###..#.##.#..##..###....##.....######.#.###...#.##......##.....##....#.##.#...##......###...##########...###...#..###.......#######..#.#.#...###..##...###.#..#....##..#.#..#..###......##.#......#.###..##...#...#.....##..#.##..###.##.#..###.####..#.#######.##..##..###...##...##...##..###...#..##.#.#####....#.....#...####..#.##..####..##....##.#####.#.#.###.###..#.#.##.###.#.#.##...######.#..#.#..####...#.##.#.##.#..#.#.#......##...##....##....##..#####.#.....##...####.#....#..##.#...#####.#.#.#.#.#.####.#...#.###.#...#...#.###.........#.######.#.##..####.###.##.##..##.####...###......#####.#.###..#.###.....#.##..##..###.##.#....###.#.##.###..#.#..#.#..#.####.#.##.###...###.#.....##.#...#..#.##..##.####...##.##.#.#####.###...###.......###.........######.##..#.#####.#.#####.##.......#........##...#..##.....##....#####..#..##.#..####.#..###.......#.##..#.#.##.#...#.#..#.#.#...##.###.##..##.#.###.#....##.#..##.#.#.##...#..##...####.##..##...#.#.#.#.##...#..#.###.#.#..##.###.##...########.#.#.....#.#....###.##.#...##.##.#..##....#...#.#.#.#.#.#.##...#.##.#..#.####.
#####.##..###..#...####.#..#.#.#....##.#..#.##..####.#.#...##....#..#.###.######.##.#..####.#.##..#.#.#....##.####.##...###.#.##.....####..#.###.#..##...##.###..###.#.......#..###..#..#####..#.##.##.###.###.#.#.#.#.#..##.#.#....#.#...#..##.....##..###.#####..####...#.#.#.......##.#.###...#.##.###.####.##..####.#.#....####....#...######.#######.#######.###.###.##........##.##.#.#..####..####.#.##...###...##.###...##..####..###..#..#.....##.#.###.#...#..##..#.##...###.#.###...##.##....#######.######...##.#..#.#.#..#..#..#..##..###....###.#...#.##.##.....##...##.####.#..###....##..#...##...##.#...#####....######.###.##.....##..#....#..#..##.#.####....#..#.#.#.###.#....#.#.#...##..###...##...#######...##..#.#########.##.###..#.###.####.###.#.#.##.##...#.###....#.###.#..#..##.####.##..###.##.##......####....#..##...#.#..##.#....##..#....#..#...#.#.########.....###...#.###..#...#.##..#..####......#..##..#.#.....#..##.#.....#.#...####.........#..##..##..#.########.....#.####.#..##.##..#....#####.#...##....#...###.#.#.#.###.##..#.#..#####.#.######....##.#.#...###..#.#.#.....##.#..#.#.####.#.##....#####.###...#...##.....##...........#...##...#...#####..#.#.####.##.####....####..##.###.#.......##.#...##.#...#.#....####.#..#...#.....#..###.#.#...#..#..#...#.#.###.##.##..#####.##.....##..##..##..#.#.##.#....#.#..#.##....#...######..##.#..#...#.##.#..##.#.#.###.###..#.##....#..#...##..###....###.##.#...##.##.##..#.#....##.#..##.#######.##.##...#..###.##.####..#..#####..##...##.##..##.####.##.#.####..#...#.#####...#...##.##.######..#..#.......#.#....###.#.#...##.####......#.#...##...#.#.....##..###.#######.......###.#.#..#....###...#.###..#.##...#.##..#.#..#...##...##..#...#..###.#.#..#.#..##.##.#.#...#.###.##.#.###....##..##.#...###..###.##.#..##.###.#..#..#...##..#####.##.....##..#.#.####.#.......#.####.###.#...#..##..##.#..#...###....#.###.#...##.#..#####..####..#...##....###..#.##.##....###...........#...#..#.##.##.#.####..##..##..#.#....##..#..#.#.###..###..##.#...#.##.#...#
.######.#.#.#.#..##..#....#.##.#....#....###.....##..###...###..##.##.#..###..#..##..#...#..#....##.....###.#####.##....##..#...##.....#...#....##.##...#.#.##...##..##......##.#.##.####.##.####.##.#...#..#.#...#...#..##....#.#.###.#.....#.##.#..##..#...#..###.####.##....#.####..##...#.#.#..###.#.##.###.#...#.####..#.##..#....#.##.....#.##.#.##...###.#.##...###.####...##.#...#..#..####.#..####..#..####.###...##.#..##.#.#..#..#.#.##.....#.##..####.#.....#...#####.#.....##....#..#.##...#.#.#...###..#..#####.######...##...##.###.#...#.##.#....###..#.#...#..#.###.#..#...#..###...###...#.#.#..#.....#######.#...##.#..#..##.#.###..###...####..#.##...##.#####...######.#..#...#####.######..#..#.#.#.#..####.###..#..#..##.#.##..#.....##..###..#..#...#..######.##.#####..#..#.#.#.#.#.###.####....####....##.#.#..##.#...####.###.#.#.#..##..#...##...#..###.##.#....#..#...##.#.#......#...#.##.#..#.##.###..##.#.#.....#.##..#....#..#.##.#####.#.##.#..#..####.###..#.#...####..##..#.####..####.#.#####..######..#.#.#..##...##...###..#####...#.....#.#.#..........#....##.###..#.#.##.###......#.###....##..####.#...####.#..#...##.#..##.#.....#..###.##...#....#..#.#..#.#..#.#..####...###.#....##.##.##..##..###...#...#...#..##..#..##.##.##.######.#...#.###.##.##....##..#.#.#.#..##..###..#..##...##.######.#..##......#..###....#..#.#...#.##.##.#.#.....###.#.#.#..###.#..#......#.###.#.#.##....###.#.#......#.#..##.##.##.####......#....#...#.##.##..##...####....#...#####.#...###..##...####.###..###..#####.#.##....###.#.#.##.#.##...#....##.....##.#.#..#....#.##..#...#.###......#.#.##...#.##..###..####...#.##.#######..#.######......#.#.##...#...#.#...##.#..#.....#..##.#.#.#.#.##....#..#..##.#..#.###....##......##.###..##..#.##.###.####.###.#.##..#.#.#.#.....#.#..##....##....#.#...#...###...###..#.##.#...#.###.##..#.###.####..#..###...#...#..#.#...#..#...#..#####..#..#...####.####.#.####.#.###.#.#####.#.###..##.###..#.#..#####.##..#####..#.#..#.#.#..###.###..####.#...###..#....##.#.#..#..#..##.....#.##
#..###..#...###.#.##.##.#.#.#####.##...#....#.#....##...##.##.#......####.####...#.#.#.##.##..#.##.###.#.#...##...#..###.#..##.#..##..#...#.#..#.#.##.#.#..#.######.##..###.####..##..##...#...##..###.....##.#...##..##.##.#..#...##..#..##.#.#..#.#..#....###.#.###.#.#..#.########..######.###..#.##....##...##...#.##..#.#.#..####..##.#...#.#...#.#.##..#..###.###..##.....#.#.##..###..#.#.#..#.#..###...#..#...#..#..##..#.####.....##..##.#..#.#.#...######.#.#..##.##..##...#.#..#..####.#..#.##.#.##..#.#.##...#.###..##..##..#.#.##.###.#.##.##.......##.##########..#....###.#.###.#####...#..##.##..##.##.##..##...##.###..#####.#..#.......#.###.###....#.#.#.#..#.#..########.....#.#..###.#.#.###...###..#.###..#...#..#.#.####..#.##.###..##..##..##..#..###.#..#..#.##...##.#.##.#..###.###.#..#.#.#...##..#..##.#.#...####.###........#......#..###.....######..#...#..#.####..##.......#######.#..##..###..........##.###.##.#####.##..##...#.#.......#......######.######..#...#.########.###....#...####.##..#...###.#####..#.####...#.##.....###.#..###.#.###...#.......#.#......#.########.#....#####.###.##..###.##.##.#.#.#..#.#..#.#.###.##....##.#.#.##..#.......###.##..#..##..#...###.##..#.#..#.###.###.......#..##.##..#.#######.##..####.##.######..#.#.####....###....##.####..##..#.###...#.#######.#..###.##..##.....##..#..#####...#...#.###.#....#...#.##...##.##..##....#...#.##.###...#...####..#.#....#.##..#.#.##.###.###...#.#...#.#.....####...#....#......####..##.###..####.#####.##.#.......##....#.##.##.....##.########.....##.##.###..##.##.#..##.#...###..#..#.#.#.##...#.#.###..##..#.###..#.########....#.#.#....#.....#..#..#.#.#...##.#.#.#...###....#.####.##.#..##...#.#.#...#.#...#..##.#.#......###.###..##..#..#..###....#..##.#######...#...#......#...#.####..#.###..##...##..#.#..#.##..#####.#.#....##...#..####.#..#.###.###.##.#..#.###...#.###.#.##.#...#####..##.#..#.####..#.##...#......##...#.#......####..##..##.#####.##.#######.#....#..#....#.###.#..#.###.##..#.###.##....#..####.#..##...##.###.##.
#.#.#...##.....#.###.####.###.#.#..##..#..#......#.#.#.#####.###..#..##.#.#...########..##..#.#.#...#.#.##.#...#.##..#.###.####..#.##..##.#.###.##.#.####....###...#...###.#.##.#..#..###...#...##..##.##.###.#.###..#..#......#....##.#..####.#..#####..##.#..#.#....###...####.#..##..#.###..##.###..#....##....#####.#..#...#.#.#...##...#..#.####.##..##...###..###...###......#.###..##.#.#.......#.###.##...###.#.#..#.#.######.#..#..#..##.##.#...##..##.#.#.#.##....##.######.#.#.#.....#..####.##....###.###.##.#..##.#.##.#.#.#.#..#...###...##..###...#.###.....#.......##.#..##.##......#.##.###..#.#......##.#.######.#.##....#..#.#..#.###.##.....##.#..##.#..#....#.#...###.##.##.##......##..##.##.##.#...##.......#..#.###..##.#.###.####.#...##.#..#.#####.##...###.##.###....##.##.#..#.#######.#####...#.##...###....#...#.##......#.#......#.##..###.#.#.#.####.....#..##.#....#.....#...#####.#.###.....#..#..#...#.....#..#...###.##...##..##.....#..##.##..#.##....#..#..#..#.##.###.##.#.##.#.#..##....#.#...##..#.#####.#.#.#.#..##...######.##...#..####.##..#.##.####.###..###.##.###.##.##.#.########..#.#.#.####.#..##.#..##.##....###..#.#..#..#.##......#..#..###...##.#.#......#.##..#.#.##.#...##.#..###......#.#.##.##....#####...#..###..#.#....#####...##.##..##.##...#.#####.##..####.#..###..#.###.#.##...#.#.##.###.##.##.##..#####..#.#....#.#..###..######...#.####.#..#..#.#.#####.#.#.####.#..#..##.##.###.#.####.#.###.#..#####.....###.#.####.###.##.##..#..######..#.#.###.....####.#..####..#.#...####.##.#.#.###.##..#.#.####.#..##...#####.#.###.#.#.####...#..######..###..#.##.#.#.###.####..#...##.#..###...#..#.#.#.#..#.#.#.....########...#.#.####.#.#.#.##..#####.#.##...##.####.####...###.#..##.#.##..###...###.###.##..###.#.####.####.##..###.#..###.###.#.....#.#.##.#...##.#....#....##.##....###..#.#.######...#..##.####.#.#####..#..#.#..###..##......###.#.##....#.###.#.#..##..#######....##...####..#.#.#...#...#.#.#...##.#....##.#..##.#.#.#.......#....##.##.##.#########.#.....#..#..#...#.####.#..#..#
..#...#...######.#.#.#..#.#..#####..##.#.##..#..#..#...#.#..#.#..##.#..##.#..#..#.#.#...#..#...###.#..#...#.#.####.#......#.####.#.###.....#.#....########.######.######..#..#.#...##..#.####.#.#.###.#.#.....####.###.#.##.#.#.#.###.#.#####..###....#.#.####.##.##..######...#####...#..#.........#.....###.##..###.#.##.#...##.#.#...#....#.####...####......###.#.#.###.#.####.#..#..####.##.#####..##.##...##..##.###...##..#...######...##...#.....#......#..#.##....########...#..###.##.#####.#.#...##.#..#..####.###.#.#.#...#....##..#.#..#.##.##.#.#...##.###..#......##..#.##...#...###....#.###.####.#.###.#....#.#..##.##...#.###.#......#...#.#..#.#..###.#.##....###......####.#...####..##.#.#####.#..#...#.####....######..##.###..#.##..##.#...##..###.#..##.....##.######.####..##.##....##.##..#...###.....#.##..##.##....##....#.#.##.....#.####.###.#.##.###.#...#####.#..##.#.#..##....#....####....#.###.###..###....#.###...##..##.#..#####.#...#..#..##.##..##.###.#.#.#.#..##...#.....##....#..###.#...###..##....####....##.....#.#...#.#.##.##..#..###.#.###..#.....###.#.###..#..#.#.##.....###.######.##...#.#..###.####........#####...######.#........##..##..#.#####.##..###...#..####..####.#..#....#..##.#..#.###.#...##.......##.#...#..#.....####....#...##..#.#..###.....###.#..####...#######..#...#.##.....###.##...#.......#..#.##.###.#..#.#.#.#####.#.###....###.##.#.#....#.#.#.....##..#..##.#.#..##...##...#####.#.#.#.##...##...####..#.######..#.#.#..#..####.....#....###.#..#.##.#..#.##..###...#.##.###..#####....#.###..##..###.##.....###..#..#.##..#.#.##..#.#..###.####.##.#.#.#....####.#.##..#.##....##..######..###..####..###....#..#.#...###..##.##..#.###.#..#.#.#..##.###...#####..#####....#####...##.####..##...##.#....###..#..#.#.....#.##.##.######....##....#.#.#...#..#..#...#..#.#....#.#.##..#....###.#..##.####.#.....#...##...#..#.#.###.#..#.#.##.#.##.####...#.#.#..#..#.##.#..#.........##..##..##.#.##.###.###...#..#....#.##.##.#.#.#.#..#...#.##..#.####.###.#...........##.#.#..#.#.#...##....
..#.##.##..#...#..#..#.#.##...##..######..#....###..#####.###.#.#.##.....#.##.###....###.##.##...#####.##..#...#.#.#.##.#.....#.#.....#...###..###.#.#.##..#.#.##...#.#..#.##....####.#.#..######.#..###.##.#####.#.###.##..###....#..######.#.#....##.######......##.##.###.#.#.##.#...#.##.#...##....#.##..#.##..###....#.#.........###....##..###..#.####.#.#.#.#.###....###.....#.##.#.###.#..##.#.###...####..######.#..###.##..#.####.#####.###..#.####.######..##..#..#####.####..##.###..#..#.###.##.....#.#....#...####.....#..#..#.#..##..##.####...##.#......#.#.#####..##.###....###.#..##.##.#.####.##.#...##......#..#..##.##.#.#.#..#..###..#.#...#....#.##...##..#.#...##..#####.#.###....#...####...#.####....##.#..##....#..####.#.#####..####.###.#.##.##.#.#.##..######......####.#....#####....##.#..#.#.#.##..####.#..#.#.#.#..#######.##.#...#.####.#....#.##...#...#######...#.....#...##.###..###.#.#.##....#.##.######..#.###.....##.#..#..######....######....##.....####..##....###.##..##...###.#.#.##.##......######.....#.....#.##....##...##.......#..#.#.#..#...#...###.#.###.##.#.###..##.########..##........###......#.##....###.##.#.#########..#..#...........##.####.#..#######.#.#.###..#.....#....#..###..#.##.#.#..##..#.#.#..##.####..#.#.#####.....##.#...#####.#..######....#.#....###.#.##..###.####..##.##.#...#..##.####...#.#...#.#.##.#...#.##.........#...####.#.##.#..##...###.#.....#.###..#.#....#.#####.#######.#...##..###..#.##.....#.#.#.....#...#......#..#.####..##.###.##.#.#.##...#.#.#########.###...###.#.###.#.##..###.#.##..##...###..#######.###..#.#.##.#...#.#..#..#...#.#.###.###.####..##.###..#..#.##..#.#.##.##...#......##.#.....#.#.#....##.#.....#.#..#####.##...#.###....#.#..#.......###..#....#.###.##.##.##......##.######..##.##..#####.###.##.##..##..#..#.##.#.#.#.#........##.####.####..##..##.#.####..#.....##########.####...#...####..##..###...##..#..#..##.###.......#.#..#.###...#.....#.####.#..#..##.#.#..#..#.#.#.#...##.#.####...##.#....#.......####..###.####.#.##..###..##....
##.####.#####.##.##.##.#.#####..##.###.#..#.#...#...#.#..#..#..##.##.#########.#..#.....#.#.##...###.##.#..#.##.#.#.#.#...#.....#########....##.##.#####....########....#####.#....##....##...##.#......###############...#.#..##...####....#..##.#....###....#.##....##.#.##.#####..####.#..##...###.#.##.###....##..###.#...#.#.###.#.#.#.###.....#.##.###..###.##.......#..#....#..#..##...###.#...######.####..####.##..#..########.##...#.....#.....##.#.###.##.#...####...#....##..#...#..##...#..#..#######.......##...#.#....#.#.#.##.######..####.##.####..#####..#.#.######.##....#...####.#.#..#..#..##.##..#..#####...#####..#..#.#.##.###.#.#...###.#.###..#.##..##..###..##.#.#.#...####..###..#...#.#.#.#..######.#.#.##...#...#####........##....##..#....###.##.......##..####.######.#.#..###..#..##..######.....#.####....#.....#......#.#..#...#...#.########...#...#...##.#..###.....#.#.#..#..##.##..#....#.#.###.#....##.#.############..#...####.#.#.#..#.#####.#...#######..#..#####.###..#.##...#.######.#...####.#.##.#..###.#.####..##.#.#...#.#.#..##.###.######....###....##.#.#.##.......##..###...##...###..#..#.....#...#.#.#...#..#####..###.#..#...##.##.#.#.#..#.######..##..##.#.#...####....#..###.####..#.#.#.#.#.#.#.####..#.#.##..#..#.####.####...##.#.###..#..#.##...#..#.#.#.#.#....#..#..#.#..#####......##...#..##..#.###..##.#......##..#..#.#....#.#.#..#...##..#.###..####....###.....#..#.#.##.#.#....#...#..#######..#.##.#.#####.#.##..#...##.##.......##..#..#...#.###...#..#...#.###...###.####.#.##.#.#.#...###...##..###..##.#..##.###..#.#....#.###..##.#.#.#..##...#.#..##.#.##.....######......######.#.##........##..##.##..##.#..##.#.##..##.##...##...#.####...#..#.#..#..#.....#.#####..#...#......#.##..#..#....#..##.##..#..#.#..#####..##..#.#.#.#.#..####.#.##.#........##.###.##.##..#.####.##.#...##.#....#.#.....##.#...#......#.####..#.###..#.#.#.##.#.........#.###..#...#..#..#...#.###.##.##.#.#......#...#..#.###.#.....#.#....#.....#.#.....#..#..#.#.##.#..#...#..##......####.###.#....##....###.
..##.#.##..#.#..####..........##...#..####..#..#...#..###..##.##..###...####.##......#..###..#..##.#..#.#...####..#####.....###.####.#.....####...##..#####..##.##.###.##.##..##...#.####....#.#..#...###.###...##..###.#.#...####.......#.##...#..#..#####..####.####..#.#.#..#.#.#.#####.#.###....##..#.###....####..#..###.###...#.#..####.#.#########...#.####.##.#..#.#.#.#.##...##.##..#.#.##...#....#.##..#.###..#.#.....#.#..##..#####...##.#..##.#..#.###..#.##.####.#.....#.#....#..#.####.#..#.....##.####.#.....##.#...##.#.#....####.#...###...##.#..##..###..##...#..#..#..#.###.###...#...#......#.#######..#.####.#.#....#.#.#.#.....#..###.##.....###.####.###.....#..#.#...#.#.#...#.#....#.#...#...#.##.###..#...#.####.###.#.#.....#.####.###.#..#..#..#####.#.###.##....###.#.####.#.#.#.#####...#.##..##..####.##..#.##.##..#.#.....#..##.#..#.##..##...#.##...###..#.#.#..#..##.#.#...###...#...#.#..#..#.#.####.#.##.#...#.#.#...#.##..###.###..#..#.##.#..#......#...##.#..#.#.#.....###.#..##.......#.#....#.....##...#..#.##.###...#..##.#.####...###.##.#.##..####.......#.###.###.#...##..#.#.###.##.....#.....#.#########..##......#..######.##.......###.#.#.#.####..###....##.#.#.#.##...#.######.#.####.#...##.####.##...#.#...#.#.##.#####..#######...#........#..##...####..#.###.#..#.#....#....#.###.#..##.#.###.#..#.#..#..###..#####.#...#...#....#.##.........#.##.######..##.#..##..##....#.#...#..##.#......#....#..##.##.##.##...#.###.###..#..##....#.#.#.##.....#.#.###..####...#####..#.##.##...###...###..##...#.#..#..####.....#.##..####.##..###.#.#....###...########...#....#.###.####...######..#.#..#..##..#####...#...#..##..#..#..#....#...###..##...####....#.###.#......###...#..###.....#....##.###..#####.##.##...##.....#.........#.#..#....#.###.#.###...####..##...#.##.....###..#.#.#.##......##..###.#####....###....#....#.###.##.....#..#.#....###.#.#....#.#.##..#.#.####..##..#.#...##.#.#.#.#.#.#..#.##.......####..#..#...#.#.########....##....#.##..#.#.#...#.#.##..#....#..#...###.#..#.#.##....##...#.
#..#.#.###...#..#.####.##.##..#.##.#.#...#..##.#...##...##..###..#.#.####.##.....###.#.....#.....##.###..#.#.#.#..#...#.....#######....#..#.#...####.#.###.....###...###....##...#...#...#...###...#..#..#####.#.#....#..#..###.##..#.#..##..#.....#...#..########..##..########.#.#.##..#......##.#.##..#.....#.#..#####...#.#.#.#..#..##...#.#..#..###.###.#.....#..#.#####..####.##.##.##...#.#..#..#####....#.#....##...#..##...##..#...##..#.###.#.##.####.#.##.##.#..##...#.##..#####...##..#.#.#.#.###..........#.###...##.##...#....#.##.#.#...#.#..#..###..##.####...#.##.#.###.####..#...#...###..#.###.#..#.##.####.#.######..#..#.###.##.#.#####..##...####.#..........#...####...###.##..##..#.#..#...#..#.#.##.###.###...#.#.#..#.##.##.#.###..###..##.##.##..###.#.....###.#.###.#######...#.##..##....#..###.#....#.#.......####.##.#..###..#.#.###.#.#..#.######..#.##.#.#.##...#.#######....#...##....##.#####..##.#..###.#.#...##.#..#.#.##.##.#.#....##.#....#.#.#.#.##......#..######...#.#.#...#.##.#.#.....##.##..#...###....#..##...#..#.##.....###......#...#.#.####.#..###..#.#.####...##......#..####.#########.#..###....#.##..#..##...###.##..........#....#..#.#..#.#.#.#.##.###.#...##.#.##.#..##..#...#.#.#...#.#..#.##..####.#.#..###...##..###.#####..##.#...#.#...##...##..#.##..#.##...###..#..#.#.#.#..#.#...#.###..###......###.###.#..#..#...######.#...#..#...#.#.#.#..#...#.#..#....##.#....###.####...#.##.#.#.##.###..#.#..#................###..##..#..#......#.#..##.#.####.##.#....###...####..#.##...##..#..###....#.##.##.#.......###..#.#....###.##..#.#.####.#.###..####.##.#.###..##..##.##.#..#.###....#.###..####.....#....####....##..##.#....##.#.#..##...#..####...##.#..#.##.#.##.####..#.##...#.####.#.#.#...###.#..#..##.##.#####....#..#..#......#..#.#...#..#..#.####...#...#..#.###.############...#.#.##.###.###..#...#.#..##.##.......#.#..##..#..#.##..#.##...#.#.###.#....######.#..#..#.#......#..####.#.#####.#..#..#.#.#.##....#......#####.##..##......#...###########..#.#....##..##.#########...#.#..#..
.###.###......#.#...#...#.####.###...#..#.##.......#..#.......#...#....#..#...#.##.#.#...#.#...#.#...#.....#.......####....##.###...#..###.#...#...#..###..#.#.#.##.##.#..##.###..##..##..###.#.#.#############.##.#.##..##.......#.#..#.#.####.###.#...#.....##..#####....#.#...######.#..#.....##...#...#..###..#####..#####.....#....#.#.#.##.###.#..#.#........##.##...#...#.#########..#..#####...###...#.###..#.###.###.######.#####...#.##.#####.##.#.###..##..#....###.##....#......#.....##.######...##.###...#..#....###..###.#...#.#.##.###.#..##.......#..#...####...##...###.#.#.#.##.####..#..##...#.#.##..#.....###.###.###..##.#...#..###.##..###.###..#.####.####.#####.####.#.###..##.##.#...###....###...##....#.#...###..####.....##.####.###..#.##..#.##..#.#.#.##..#..#...####.##......#..#...#.###.####..#..##..###.##.....#..#.#####..#..#####.##.######.....####..#....#.#.#.####.##.#...##.####.##.#.##...###..#.#...##..######....#####.#....##.#.#..####.#.##..#....#.#.#.##.#.##.....#.#.###...#...#.##.#...#####..#.....#.###..#..##...##.#..##..#.....##..#.#.#..##.#....###..#..##....##.#.##.#.#.#..#..#.#..#.......#..#.....#..####..#..###.##....##.#..#.#.....##...###.##.....#...##.#.#..##.##.##.#.###.#.#.#.#.#####..##.##.#.#.######...#..##..###.#..#....#.....####....#.##......##.#.......####...####.##.###.###..#.##.#.##.###..#...##.#....#.#.##.....#.####..##..##..#.#.##.##..#..###.#.#..#.#..#.##.#....#...##.#.###.#.#.#.#..#.#..#.#.##.#######.#.##...#.###....#.#.#####.#.##..##..........#.#...###........#######....#..###.###.#.####.##..#.#.##...#....#.#....#..#...##..#.#..#.##.#.#.....####.##.#...####..#.#.##.##...#.###...##...#.#......###.###.#..####.#.###..#.#######..####.#.###.######..##.###.##.###....#.#..#....##...####........###..##.#..#####.####...###.#.#.#.###...#####.##.###..#..####.#...#..#.....##...#..#.###.#.##.#..#.##..##...#.#........##.##.#.##.##.#.#...#.#..##.##.####.###......#####...#...#..#......#...#####..##...##.#.#.#..##.#.##.##.#...#.#.##....#######.###.#####.#..###.##
###.#...##..#.#.#.#.#..##...#...#.....#.##..#...########.#..##.##..#...##..######..###..##.###.#...#....###########..#...##.##...####.####.#.#.###..##.##.....###..#..##.##.####........#####..##.#.....##.##...#.###.....#..###..#..#....#..#...#.#.#.###.#.#.#.#..#..##....###.#.#.....###..#..###.###....#.#..#.##.#.#.##...#..##..#...###..#.#####..###.#.#...####..#..##.#..#...#..........#..###...##..####..###.#.##.##...#...######.#..###....#.##.....#....###.....##.#.#.###....##.#...#..#.##...##.#...##.#.#..#.#.##.....##..#####..##...#..##.####.###..###...#..#..#.###..#.##.##..##.#.#####.#..##...#.#.#.#.#...##.##.##.#.....##.#####.#....#.###.....#.###.#.#.#..####..#....#.##.#...##.#..#..#.#.##.###..###.#.####.........###..#.#..#.#.#...##..##.#.##.#.###.#...##.####..##......##..####.#...###.##..##....###.....#.#.#...#.######.#.#....###...#..###...###..#.###.###....#.#..#####..#....#.##..##.#....##.##.#......#.#....####.#..##.#..#.....#.##.#...#.#.##.#.#.##..#......#.....#####.#.##.#.##..####..####.#....#..##.####.#....#.#########.#######.#.......#.#####.....###.###.##..#.#.##.###..#...#.#.##....####..###.#.####.#.#.....####.#..####...#.#.#.#..##.######.##..###.#.###.....#..######.....#####.#..#.######.##.###.##..#...##.#######.#.##.#.#.#..##...#.#.#.#...#.#...#..#.#.#.#.#.##..#.#.#.#.###..#..#..#...#.##...#...#..##...##...#...#..#.##..#.#..#.###..##..#....#.###.####......######...#.#......##.#..#.#.#####..#...######.#..#...####.##...#..#.#.###...###..##.####..###...#.######.#..##....####...#.###....#.####.######.#.#..#..#.#.#..#####.###......##...##..##......#.###.#....##..#.#..##.#....#..#.###..#####....#...#...####.#.#.###.##.#.#.#..#...#.#...##..##.####...##.##.#.#..####.#....#####...###.##....##...##.#......##..###.##......##.#.###.##.####.##..#.#.#...#...#.####.##...##....####.####.####.##...#.##...#####.#.##.#...###..#.##...##.###.####...##.#.#....######..###...#..#.#.#.##...#####...###.#..#..#.###...#.......######..#..###......##...#.###.##........#.####.####..#.#..#
####....##.###.#.##....#..##...####.##.....#.##.###.....#.#....###.....##.#.#####.#....##.#..##.#.#.#.....#...##...###..#..##..#.#..####.#......#.....###...#....##.##.#.#.#..#.#.###.....#.##..#####.....#..##.#.....###...##.##...##....#...#.#..####..##...#..####..#.#.##.##.........#.#.###.#..#..#.#.#.###..#######.####.#.#.......#...#.######..##.#.#####.#.##..###....###.###......######.#..#...#.#....#.#..##.#...###..#..#####.##..######.#..#.#..#...#...#...###.###...####.##...###.##...#.#.#.....#.###..#.####.#..........#..#...#.#.####.###.....#######.#.##..#......#..######.#.##..#.###.#..##..#####..###.####.#.#.##.#...#.##.########.#..###..#......#...####.##..##..#....##..#...#.....##.#.#####.###.###.##..##.#.#....#.##.###....#.########......####.#...#.#.##..#..#####.###..######.###....##....##..#.##.#.#....###...#.##.#....##.#####.....#.##.###.#..#.#####..##.#..#...##..#.#.#...##.##.##.#####......#..##.##.##...#.#.####...#.#..#.#.#..#...####.##..#.##.###....#...###.#.#..#.#..##...####.##....#.##.#...####...#.#.#....##.#.####.###.###...#....######..####..#..####.##...#####.#..#.##.##.#######..##.##.#...#.##.#.#..##.###..#.###...###..###..#.......#.#..##.##..##...##.#..#.#....#..#...####.###..##.##.#..###.#.##...#.##.....####.###.##.####..#.#...#.#.####.####..####..#.##############..#.#..#.##.#.#.....#.#...####.##.#..##..#####.#.#.###..##...##.#..#...###..#.#.##..#...#..#...#..#.......##....#.#....#...#.....####...####.#.###....#..#.###...###.#.#####..#..#..###.#.#.#...#####.......##.#.#..#...#..###.#...##.#.#.##...#.#...#.####.##..###..##.#.#.###..#..#...##..##...####..#.####.#...###.##########..##.#..##.##.#.#..#.#.##.#..#.##.##.....#..##..#...##..###.###...#.##..#..#....#####..#########.#.##..#..##..#.###..#.#.##.#.#.##...##..#...###...##.#.#.#.##.##.#####..###...#.#...#####.#.##....##...##.####.#.#####..#.###.#.#.#..#.#...#........###.#..#..#.######.##...#.######..###.#.#..####.#....#.##..###.....#....###..#.###.#..#.#...#.##.##.#..#....#...##.##.#..#..###..###.####
.#....#..#.#.##..###....#..####...####.#.#...#....#.##.#......##...#.####..####.#.#.#.#.#...#..###.#..#..#####...###.###..##...#..#..#.##..#.#..#.#.###....#.#.#..#.####...#..#.#.##.....###.#...#.###.#.##..#.#.########.##.##..##.##...#..##.....######.##.####..##..##.###.##..#...#####..##.##..###..#.....#..#.#..##....##..#..#...##..#...###.##.....#..#..#.#####....#.##.##...##...##....####..##..#.....#..###.#.##.#..###........##.###.##.#........###.#..#.#.##..##...##.##....##.#.#.#.##....##.....######..####.#.##.##...#.#.#..#.#...##...#...##..#...#####..###.#.......#....#.#...#.....#.#.##.#.###..##...#.####.##.##..####.#...#.#.#..#..#..##.##.#....#.#......#....#...#.....#####..#.##.#.####.......##..##.####.#..#...#...###########.#.#.##...#..#.#....#..##..#..#...#...###.#..#.#...#....#..#####.##.#...######.##..##.#.#.#..#..#.#...######...##.##.#..#.##.####.####..###....#....########.#...##.#.....##..####.##....##...#.###..##.##.######.#..#..#..###.##..#.#.#.####.##...##..##.####....###..###.#.####.#...###.#.#.#.......#...#..##...#.....##.#.###......##.#......#...##.####...#..##.##....#######...#...##....#..#..###.#.#.#.#..#####.###...#..##.##.##.###..###...#....#...#.#.#.###.######..##......##.#..#.#.##..#.###..#.#.#######..###.##.#...##..#.#.#.#####.#.#..#.######..#...###.#.#.##..##...#####..#####.#.#....##..#..#....#.##.###.####.###..#....#.##.#.......###.#..#...#.####.#.##..##.##...#..###.##.###...##.#####.##.#...#.#.###.##...##.#.#..##.#####.###.#..###.#....#....###..#...##.##.######.###..###....##.######.##...#.#.#.##.#.##.##..#...#...#..####.####.####.#.......#####.#..#...#.#...#.###...#.#.#.###.###.##...###....#..#....###.#.##..#.###.#.####....#####..#.#.##..######..##.####.#....#..#.#.####..#.....#....#.####..##..#..##.#.#.#.##.####..#.#..#...###...#.#####.##....#######....##.######..#.#...#.######.##....#.###.#....###.#.#.###...#.###.##...####.#..#.#..#.######...#.#######..#.#.#..#..##....#.#.#.....#.....####.##.##...#...##.#####.###..##...###...#..####.##.####
#.#.....##...####..#####.#.###...#....#.....#..###.#..###.#.##..####.....######.###.#.######.###...#..##.#.#####.#..#..##..##...##.###.#...#.#.#..#.#.....##.#.#......###..#.###..###........##....#######..#...##...#......##..#.#..##.###.##.###..#..#.##..##...##.###.##..###.#.##.#..#.....##..#...#....####.....#.#.#..#...#.#.#...#.##.#.#..#.#....##.......##..##.#.#......#....#####..#.##..##.......###.#.....########.#.###.####.##..#..##.....####.#.#####.......#.##.##..###.#...#.###..#.##.###...####.#..#....###.#.###.#....#.#...#....#####..###.##.#...#...##...#...##.#..##.###....#.....##..#.######.##...#..#...#..##..###.##.#...#.#.##.#.####..#...#.#..#..#.##....#..###.#.####.####....#..##..##.#...#####.###.......##.##..##.#..#.##..###....#.##...#.##..##.##.#.#.#....###..#.##.##.###..#.#......#...###.####.###.#.#.#..#....##.#.....###..#..#.###.#####.###.#.#.###...######..##...##.##....###.##..####..####....#.#.#..##.###...##.#.###....##....###..#####..#....####...#.###..###.#.####...#..#.##...#..##..#..#.#..##...##..#.#...##.#..#..#.....##...#..#..#..#.##.##.#..#.#..##.#....#.#######....####.#####.#......#....#.##...#.##....#.####...##.###.#######.#..##..#....#....#.#.#..###...##..##..#..####.##..#.#####..##.##..#######.##...#.#.#..#..##.##.........##.##.##.....#.#...###........#...#.##....###..#..#..#.#.###.##..##....##.##.#.##..#.###.#.##..##.##.####...#..#..#...##..#.###.##....#......#..#.###....#..#####.#.##...##..###.###..##.###..#..###.#...#...#..##.##..#......###.#..#..###.#.....#.#...#.###.#.###.##..##.##....###....####.##.#.######..###.#...#...##.###.#.#..#..##..##....#.##.#..#..####....##.#.#.#..#...#......##.#.......#.##.....####.#...#####..#..#.###..###..####..##...#.##.##.#..#.##..####..#.#..##....##...##...#.#..#..#....###......###.##...##....##.##.###..#..###...#.####.###.###.##############.#...#..##..#.#.....###..#...#..########.###.##..##.#..##..##.....###..#####..#...#..###..###..#.#..#####..#..#..#.##.##..#.##.########.#.#.#.#..#...##.##.#.#.#.#.....###
#..##...##.#.#####....#.##.#.#...##.#...#..###...###.#..#.#.#.#.#..#.#......###.#####.#..#.##.###.####.###..##.##.#....##..#.#...#..###..#.###.####...##.#...#....##.##.#.##...#####..#.#####.##.#####.#..#..#######..###..#.##.##.###..#.####.####........####..#.##..###..##....#.#..##.###.#.##.....#...#####..##.#.......######..###....##..#.####....##...#.#.###..#..#.######.#.##.##....#.#..######....##........#.#...#####.##.#####..##.###.#..#.##....###.#######.##...##.######.#...#.#..##......#.....#.####..#..###.#.#..#.###.#.###..##.#.####...##.#..#...##..##...#.#.###.#.###.####.###.##.##.#....#...#.#...#.#...#...####.###......###..##.###..#######.....####.##.#.#.#...#...#.#....#.###..##.####.##.#.#.####..#..#.#...##....#########..##..#.#.#.#...####.#..######.#.####..#....##.#.##.#..#.###.####..#.#.#...#..##.#.##.##.#.#..###..#.###.##.##.###..#....#.#..####..#.#.#..##..#.#.#.##.#....#.###.###.#.#########....##..###...##.....#......#..##.#######.##.#####.#.#.##....##...##.#.#..#.##.....##.#.####.##.#.##.#.##.#...#.##.##.##.####...#...##....##..#.#..#..#.#..#..###......#..#.####.#..#....#.#####.##....#.##..#...#....#.#.....###...#..#..##..##.###....######.###...#.#.##.#####.#.#..##.##..#.#.####.....###.....#...##.###.##..#.#.#.#....#...#.#...####.##..##......###.#.##..#....###...##..##.##.#..#....#.#.##.#...#.#....###..##.#####....#.##...###...#.#...####.##.###.#.#....#.#.#.....#####..#..####...#####..###..######...#####.#.###...###.#..#####.##.#.#..####.#....#...##.#...#.##.#..#.#..##.#...#.##.######.#.#.#......#..####.#.#..##.#####.#..##.#...######.###.###...##.#...#...##.#..##........##..##..#.....##........##.##........####..#.....#.####.#.#.#.##.#..##.#.##.#.###.#..###.#..#.##.#.#..#.###.#.....#####..#........#..#....#.######.######...#..#...#.###.#..###.#####..###.#.###..#.###.#..#.#..#.##.##........#.#.#######............###.###..#.#.#...#....##.##.#...###...#.#.#.###.#..##.##..###..###.####.#.#.#.####.#.###.##.#...#..##..#.#....#.#....#.##.#.#####....####....###...
.#.#..#.###...##.#..###.######..#.###...####.####.#.##..###.###.#.....#..#.##....#.#...#..#..#..##.#....###.#.....##.#..##.#..##.#.##.#.#..##..#..#.#####.#..##.##...##.####.#..#.###.##.####..#.#....#....###..#....#...####.##.#......#..#.###.#.....###..###...#..##..###........#####..#..##....#..##....###.....#..###..###..#.#.###.#.#.#.#.#..#.###..####.##...##.##......######..##...##.###..#.#....#...#...#.##.##...#.###..####..#####.##..#.##.##........###....###.....#..##..#..###..#..#...#..##..#.#.#..#####...##..##..#.#.#......###.###...#.#..###...##......#.#.##.#####.##..#...........##........#..#.#.##...#.##...#..###.#..#.##..##......##.#.##.#.###.##.###.#.#.#..#..####....##.####...##...#..#.#.###.#.#...#....#.....####..####...#...##.######.#.#.#....#.##.#.##...#..##.##.#.###.........#.##..###..##....#..#..#..##..#.......#...##.#.##.##..#.#.....##..#.######....#.#..#.#.####......#...###...#...#.##..##..#..#..##..##.###.#......#...###.#.##..#..####.###.#.##.#...##..#####..#.###....#.####..##..#.##.####..#.#..###.#...##..##.#..#.....#.##.#.###..##.........#...##...####.#..##.#.##.#..########...#..#.####...####...###....####.#####.#.##..#.##..#.##.#....#.##...###.##..##..##.#......#..##.##...#..#####..#.#....###.###..#.##.##.####..#.....#..###.##..#.##...####.##.####.##..#.#....#...##.###..#...#....#..#....#...##.#..#..#..#....##..#..##.###..###.#########..#...#.#....#...##..#..#.##.#####.###...##.##...######.####..##.###.#.#....#.#....##....###..#.....#.###.#..###.#..######.#.####..##..##...#..###..##....##..##..####.....####.#..###....##.#...###.#####.#.#...#.##....#.##..#...##.##.##.###.#..#####...#....##..###.#..####.#.#.#..#.#.##.###.######.##.##.#.......##..####.#.###...#..####...#.##...###..#.####.....###...#...#..#########.#....##.#...#..#.#..##.#..##.#..####....##.#..#.#.....#.#..##.#.##..########.#....#..##..###....#...##...#..#####....##..####..#...#.#.#.#.##..#...#.#.#####......###..######.#..#.##.....###..##..#..###....#....##....##.##....#.#######...#.#.#
.#.#######..#....###.#.#....##.######.###..#...##.##.##..##.#..##.....#..#.###....##.###.##.#.###...##.###...##.#.#.#.#####......#.##...#.#.###.####..#....####.#..####.#.####..##....##.#..##..#...#.##.#.#.##.###.##..###.##.#.######...####.....##.#..#...###.#..##.#.#.##.#..#####...##.#..##.#####.#.#....#####.##.....#.###...##.....##..##..#.####.##..##..##..####..#.#....###..###....#..##.#.##...##.#.##.##.####..###.#..##.#...#.#..#.##.####....#....##.........###..#.##...#.##..#.#..##..#.##.#..##..###..##..#.#.#########.#.......##..#........##.#.##..###.##.....####...#.######......###.#.##.#.##.##....######...#..##.######..#.#....#....#.#...####.#..##..##..###..#..###.#####......##...#.#.##...#.#.#.#.####...##.##....#..#.###.#..#..#..#.#.......##.##.#.#....#.#.####..#...##.##.#....##...#.#.#...#####.#.#..##.##....#.####.#.#.#.#.##.#.#####..##......#.....#...#.##..##.#..#.##.###..####.##.##.####..##....#..#..........######....##.###.#.##..###.#..##....#.#.#.###.###.####.##.##...#...##..#.#.#.#####...####..##.###.###..#.#.#.##.####.#.....#.#.#.###..##....##.#....##..####..####..##.##.##.#####...#..###.###...#.#.###.###.##..#...#.....#....##.##.#.#.###...#.#.#....#....#.##...#..#....##############.####.#.##...####...##..##..#.###.##..####..##...######.#.#......####..#..#.#...#....##.....##...##.##.####...##...##.#......#####.###...#.##..###.#.#...######.###.#..##.###.##.#..##.#...#....##...#.#.###.##.#.##.####..#.#####....##.###.##...##..#......#.#.##..####.###..#...####.#...###...#.##........####.#.###.#.#...###.##..#..##.##..####..#..#.#.##.###.##..#####.#.#....#...#...###########.#####.##.....##..#...#.#.###.#.##..##...#.#...#..###..###.##.#...#.#.#.#.#####.##....#.#######.#..###....#.##.#######.#.#.###.....##..#####.#..##.##.##..###..#.#.####.#.###.###.###...##.#.#.#..#####.####...#.#.###....#.#....#..######.#....###....##.#..#...##.#.###..##.#.#..###.##..#..#####.##..##...###.#.##..##.#.####.###.##.#.#####.#####.####..##.###.##.#.#.#...#.#..##.#..##...#..#....###.###
.#..#...###....#####..#.###...#..##.#.#.##.#.#......##.#...###....###....##.###..###..#..###.###.#.#..####....##.###.....#.#.#....#.#.#..#....#..#..##.###..#..#####.###.####..####..#.#.#..#..#.#.##..#.####.##.##...#.#.#.####.##.#.####..#..#.#.#.##..##.##.####.......###..#.###...##..#..#..#.##........#...#...#.###.####...........#.#.###....##.#.#####.#..###..##.#.#...####..##....##.##.#.##.#..##.##..####.#..#....#.####.###.####....##.##.#.#####.##..#####.###..#....##........###..#.#.####..#.....#.#.##.##.###.#.....#....#....###....#####.#.#..##.###....####.#.###..###.###.#...#.##...#.##.###.##.....###..##.#.#...####..#.####.#..#.##..#.####.##.##.#..##..#...###.#...##...#..#..##....#.##.....#.#####..##....###..##..#.........##..#.#.##.###########...#.#..##....##..##.....###...#.#..#...#..#..#..#.###.....#.##.##..##.###....##...##.##...#.#.##.###.#...#.....#.#..#.###.##..##...###..#.#.##...####.#.#.#.#.#.####.####..##.#.#.#...###..#..#..##.#.##....##.......##..##.#.#.#.###.#.##.#.##.###.#####.#####.#.##....#...##.##.###..#.#.#.#..##.#....#.#.#..##..#.##...###..#.#.......###.##....#.###..##..###..#..###.#.##..#....#..#.##....#...#..#.#.##..##.#..###....#.#.###.#.##.######...##....###..#.#..##.##...###.##.###...##.####.######..#.##..#....#...#.#..#.#.##.#.#.#..##.#.#....####.#..###...##.###..##...#.#...#..##..#.#.#.##.##.##..###.##.###.##..##.###.#.#.#..##.......#..##.##....#.##.##.#..##..#..#####.###.#####..##.....#..##...#....####.#####..##.#...##...#.#..####..###.#.##.#.##....##.#.###.#..##..#..#.#....#..#####..##.#..#####.#..##.#......#..#..#....#..#.#.####.#.....#..#....#####...#.###......#..#....#.#..#.#.#...#.....##.#.#.###.#.#.######.##...#..#####.#.##.##.##..##.########..#..#.###...#.#.####..#.###...#.####...#.....##..#.#####.....###.......###.#.#...#...#..#..##.##....#...#.....###.#..####...#.##..##..#.#.#....#####.##.#..#.##....#.##..#......##.#.#.##..#......##...#.#.###.###.#.#.##..##....####..##.####..###.#####.###.##...#.####.##.#####.......####..####.....#
.####..#####.##.#.###.#.#.###.####.###.#.#...#....#..#.#..#.#.##.#.####.####..#...#.#.#####.##.##..###...#...##..#.#.##.#.##...##.....##..##..######.#.#.###.##.#.......##.#####...#....##.###.###.##..######.#...##..##..#..####.#..#....#....###...###.#.###..#..###..#..##.######.#.#..#...####.#####..#.###..##..####.##.#..###..###....###.###.##.#######...#.#.##.#####..###.###.##...##..###.###...###..###.######.##.#.#..##.##..####.######.#......###..##..#.###.##.#.#.##.#..#####......#.#####....###.#####..##.###.####.####.##.#.##.###.####..####...###.#.#######...###.....#.##.##.##..###.#..##..#...###..##.###..#.##...#.#..###...####.##.###...##..#####.#........#..###..#.#.##...#..#....#.#..##...###.####.####.#.....#.###.#####.#.####.###..##..########..#.#.#.#.#######.##..####...###...##....##.#.#..#.###.####.#..#.#####.#.##.#..#..###.#..####...#.##.##..##.#..#.....#..#.#..#..####..###.#.#..#.##.#....##...#..#####......##.#.#.#...#.#..####.####.###.####.#####.....#.##.#....#.#.....#####..#...#.########..####.....####.#......#..#....#.##.#.#.##.#..#.##...#.#..##......#.#..###..#..##....#.#.###.##..###.#..#..#.#...#..##.##...##........#####...###.#.##..#.##..#.##.###..###..#...#.#..#.######..#####..###..#####...#.##.###.###.####..##.#.#####..#..##..#.#...#######...#..#.##..##...#..#....#..###..###..###..#.#.#####.#..#..#.###....#..#.#.##.####...#......##..####.#..#..#..#..#...#.#.#..#.##.#...#..#...####...##.#...#.##..####..#.##.########.#.#.##.##.####....#.##.##..####.##.#####......####...###....#..#....##.##.##.#..#.##.##..##.#...#.####..#..##..######.###..##.##.#..#.#..##...##.#...#.#.#.#..###.#####..#..###.#.#######.#.#.#..#.###.##..###.####..##....#..##.#.####.#....##..#..####.#...#...#.#.##..#....##.###.######.#...###..##.###........##..##..#...#.##.#.....###...##..#.###.###.##.###.###..###..##..##...#####.#######.#..##.#.###.#...#.#...##.##.#########.##........#....#...##.##...#.#...##.####...#.###.###.....##.####.#...#..#..######...#.#..#..####..#.###.#..#####.#.#.###
..#...#..###.###.###..#.##..##.####....##.#..#..#.....##.##..##.#..######.###.#.##.....##..##..##..#.....#.##..#...####.##.##....#.#..##..###.##.####..#..#.#.##.#...##.##.#.##.#.##..#......#..#.#..#.#...#.###.##...#.##...##..####....##.....##...#####.#.#...#....#.#.##...##.###.##.#.#..###..##..####.##...###.#.##.##.#.#.#...##.#...#.###......###.####.#....###..###...##..###..##...#..#.###......####.#.....#..##..##.#.##.#.##.#..##.#.#.###.#.####..#.#....#####..##...##.####..######.#####.#..##..#..####.#.###...#.#.#..####....####...#.#....####....#.#.##..####...###............#..##.#...###....###.#.###...............#.#.#....#.#.#..#.#######...##.#..#########....#.##..#.#.####..#..#.#.####.##..##...##.#...##.##.#....###.##.#..###.....####..##..###.#.##..##..#.##..##.#..#.#.#...##.##.#.###....###.#.#...#.....##.##.#.#.###..#.#.#...###...#..####..###.#####.##.....##.###.#.#.##.####....#..##..#.##.##..#...#.##...###..#..####.#####..######.###.#.#....#.####..#..#.#.##.###.#....##.....#.#.#.#.#.#..#...#...##....#..####..##...##.#...#.#.......####.#.##....####..#.###.##...#######.#####..#.#.##......#..###..###.#.###.....#.###.###..#.#.######.###.##..#.#.###.#.##...#........###..#.####.#..#.###...#...##..#.....#..##...##.###.##.####.##....####.##....#....#..##.#.#.##.#....###.#.##..#.####.##.###.#..#.###.#.#.##.#.#....#.#..#..#.###...##.####.##.###.####..##...##.....##.#....#.###..##...#..#...#.##.#.#..####..#.##.#.##.#.#..##.##..####.#.#....######...####...###.###....#........#...###.#.#..#....#.#..##...#.####.###...##.#.######.#.#......###.##..#.#..##..##...######..###..#####..##..#..###...#......######.#.....###...###..#.##...##.#..##.#.#..###.#..##..##....#..#.####...#.##.##.##......#.#....##.#.#.##.###..#.###.###.#..###.#..###.#....#...##..#.....#.#.#.###....##.###..##..##.#####....######..#...#.#....#.#.##...#..####.######.#...#.#..#..##..##..###.##..#..##...##...#####.#.#....####.#..#...#.####...##..##.#.###########....#####..#.###.###...#####....##.....#.###.#.####..#
.#####..###..#.#.#...###.######.#.###.#......##....#.#....###.....########.###.#####..##.###.##.#.....#.##......#..#.....##....#.##.#..#####..###.#..#..#.#..##.##.#.##.#...#.#..###.###.#.#..#..#...#..######.###..####..##..#..##.#####.#...###.#......##.##.#.#....##..###.#.####.##.#######...#..#####....##....#.##.#..#..###.#####.##..#...#..#..##.###.....##..#...##....###.#..#.#..#...##..#..#..###.#.##..##....#...##.#...##.####.##..#.#.###...###..#...##.####.#######.#...###.#...##..####.#...##.#.#...#.#...#.####...###.##.......###.#.##.#.#...#..##.######.#...##.##.....##.#####..####.#.....##...#.......#.##.#..##..##..#..###.......##.#.#.##.###..##..#.#.#..##########.#..#....#.#.###...###.#..##...........##..#..##...#...#...#.#........##..###.#.#....#..#.##.....#.####.#.##.##.#..#.#.....#..####.###.#.#.##.#.##..#######..#.#.####.#.#.########.........###....##.####.#.#..#.####......#####...##.#.#...####...####.###.#..#...####.#.##.#.####..##.##.#....#####.##.#.#.###.##...........##.....#######.#.#####.###.###...##...####...#...#.#.##.###..##..#.#..#..#######....#####.#..#.##...######.##..##..####...#.###.....##.########...##.##.#..###...######...#...###..#.#######..#.#.##..###.#.####.##.#..###.####.##.##.###...##.....####...#.....##.#.#.####.#.#....#..#.#..#...##.#####..###.#.#..##..###...######.#.#..#######.....######.#.#.#....#.##.....##.######.###.#.######.####.#.#.##....#.######.###..#.###..#.####..##.#......#...#...##..##.....##......###.........#.#.##..##..##.##.#...##.#..#....#....####..#.#.##....#...####.##..#..#.###..##.####.##....##...###.##.##.##....###.##.#######..##..#..#.##.#..#.....###...#..####.#.....#####.########.#...#.#.#.......###.##.##.#.#..##.##.##.##.#..#...##...#.#.##..#.###.##.#......#.#.##.##..#.###.##...#..##.#.#..#....#.#..#..##.#.###...#.###.....##.##..#.#....##...####.##...###.####...#....##.###.##.#...##.##..#.#....#.#.###..#.######.#.####...#..#..##.##...##...###..#...###..#...##.#.#..##.#.###.#...##...#.###..##............##..####...##...
#..##.##....#...##....##...#.##....#..##..###.###.#..#..######..####.##...#..#.##..#.##...###.....#.#..##..#.###########.#...#....###........#.##..........##.##...#.##.#..#.#..##...#.#....#.##.#.#.#.##......####.###...#.#.#.####.##..##.#.#.##..##.#....#.##..##.##.####.####....#.##.####..#####.#.#.#.#...###.#.#..##.#.#.###..#.###...####..###......#.#.#..#.##.####..####.....###..###########..##...##.#......#...#..####.........#.#.#.#.#.#...#.#..#..#####..#.#..#....#.##..#.##...#..#....####.####.#.##...###.#..#.#..####...####.##..###.##.#######.#.....#...##.##..#####..#...#.#.###...#...#........#...####..####..#......##.#.##.#...#.######.####.#..#....#.#.###........##.#.#..#..#.....#.#..###....##.#..#..#.....###.##......###.##...#########.#.#.##...###.#..#.##.###.....##...#.#.#...##.##.#..##..#.######...###...#.###..#..#...#.##.#.......##..#.....#.###..#..#.###....##.#..#....##.#.#.#...#..#.##.#...###.#....#..#..#.####.###.#...##.#........###.#.#.#..##.#..##.#..###...##.#..#.#..#...#.....#.#######.###...#####..##.##...###....##.....#....###.#.##.#.#.##.#..##.#.#...#.#....#..##..#####.#.#...#.....###.....#...#.####.####...###..#.##...#.#.####.#......##.#####..#.#.#.##.##..###..#.#.#...#...##.#...#..##.#.###.##.##....#.#..#..###.###.......###.########..#.####..#..#..#..##...#.....###.#.##.#.....#..###.###...#.####.#..#...#.#...#.#..###.#.#...##.###.....#....######.####..#.##.##.###.##.#..##..#..#.....#.##.#....#.#.......##.#.....##..###..##.#......##.#..#.#.##...#...#.###.###...######..##..###.....###....#.#.##..#..###...#####..#...##.......#.#..##...#.##...###.#..###..####.##.#.##..##..####....#.#########.#...###.####..##..#....#.###.##.##.#.####....#.##.#..##.###.#.....##..#.###..#..###.#...#####.#.###.....#..##.........#..###.###...#.#.....##.#..###..##.#...###..#.##.....##...#...#.###...#.....#.####...##..##.#...##....##.##.#..#..#....#..#...#...#.####.....#.#.##..#....####.#..#..#.#.###.#.###..#.##..#.###...#####.##..##.###.#.#..#...####..#.....##..####..#.#.##.###.
#.#..######.#..#.####...##..#...###.##..#######..#...#.##.#.###...#.#......#...##..#.#....####.#.#.#......#.######...#.#.#..###....#...#.##.##..#.#.#.######.#.###..#.#.#...#.##...#..#...#..#...#.##.##...........###.#...##...##..##.##..#.###....########.##..#.#...#..#....#...##.#..###..###.###...###...#.....##.....###....##.#.###..####....#######.#..###.##.#...##.##.#####..#.##.##.#.#######.####.....##...#.##.#..######...#.##..#.....##.#...#.##......###..#.###.##.#...##.#..##...#...#.#####.##...#.....#####..##.#####.##.#.###....##.#.##...#.#.#.##..###....##.##.#.####.....###.#####.##.##.#.#.####...###..###.#...#.##..##.##...##...##.#...##.#..#.####..#.....###.##..#....#..#.###.##..##.#.##..####..##.#..#.##..#..##.##.##....#.#.#..###.##..##..#...##.....##.####.##.#####.#..##..###..#.#...#..#..#####.#..##.#..####.......#.#.#...###...##.####.##.##.##......#..#.##.##.#...##.#...#.##..##.#####.#..##.#.##.#.#.....#.##..#....#.#.......#...#.##..###..###.#.#.##...#.###....######..#...#.#..#.##.#.###.#####..#######..####.##.....###..##.#####.#..#..##....#.#..#.#.##..##....#.####.###.#...###.#.##..#..##.######.##..##..##..#..#..##.###....###....#.....###..##.#..#.#.#.#...#####.####....#.##...#.#.##.###.#.##......#..#..##....##.##.#.#####.#...#..##.#...#...#.##.#.#.####.#..##.#.#..####.#.###.#..#.#.#.##..#....##.#.#.###......#.#.###.##.#..###..#....#.#.####.##.###..#.##....##.###..#.##..######...##.....##..#....##.#...##.#.####.#.##.##.#.#....#....###..#.###.#.#.#.....#..#.#..#.#.#.####.######..##..#.#.#####..##.#..##.##.##.#.#...##......##.##.#...#.#######.......#####...#...##..#...#..##..#.##...#.#...##...#.##..#####.##.#.###...##..#...#.##.###.#.#....#.##..#.#####.....####.#...#.#####..#.###.#..##..#..#...#....##.##.##...#......#####....###.##.##....##.##.#.##.#.....#.###...#.......##.#.##.#.....###.#.#.##..#.....#.##.##.#.##.##.########..#.......###.#.#...###..##.##...####..#..#...###.#.#.##..#..##..##..#..##.#..#######....#.##...#..#####..#..##.#####..#..#.....###.#.#..#.#
..#...#..#.#..######.##.###...####.#.#..##.#.####.######..#..#..##.##....#..#..##..##.#.....#..##.########.##.##............#.#.####..#.#...#..#......#.#..###...#...#.##.#.##.##..##..##.###..#####...###.#####.#.....#..##.#.##..######.###.###...###.#.#.##.#..#....#.#..####.#..##.##..###....#.#.#.#..##.#...##.#..##....##...#.##....#.#.#.##.##..#.#...######...###..###...#...###...###..###.##..##..#.##..#.##.##...#.#####.#....#.#.#####..##...#.#.#.#.#.#.#.##.......#..#...###....#.#.#.##.###..#..#.#.###.#.##.##....###.#.###.#..#.#..#...#..##.###.#.#..##.#.####...#.##.#..###...#..##.##.#.#...####.####..#.#####....##.#.##..##..#.##...##......####.#.##.....#.#..#.#..###.#.#.##.#..###..#.#..##..#.##..#######.#...#.##.##...#.#...#..#.#####.##...#####.#.##..#...####.#...##.#.#.##.####...####...#.####.##.#.....#..##.#...#.##..#.###....##.#.#.##..#..#####.#....#.#.#...##..#.#...#.####...##.##.#.#...#.......###..##.#.#...##.###..###..##....#########.....#..#..#..#...######....#...###..#....#.#.##.###..####.##..###..#..#..##.#..###.##.##.#.###.##..#...###..######..#......#.#.#..##....#..##..#.#.##.#.#######.###.....#.#..........###...###..#######.####.###.##..##..#....#..######..##...#......###...#.#.##.#..#.##.#####........#..#.#.#.#.#...#.##.###.#.#.####.#..#.....#...##.#.##.....#..##..#.#.#.###.....##.##.##.###.#...####.###..#.#.#####.####.##....#.###.#.#.##.#.##.##.#...###.###...####...##.#......####..#..#....#####..##.####..#.....#.#...##.#.##...##...#####.#.#.#..###...##.#.#..#.#..##.#..####...#.#.##..#.#.#..#.###.##.#...#...#..#..###..####..#...#..##..###..#.#..##..#####...#.#.#.###.....#######.#...##.##.##.#.....#####...######.#...##........####.#......##.#.#..#.#.#.....#.####....##...#####.#.#.#..#...###.##.#..##.####...#.###...#...###.....#.##...####.#....#....####.####...#.###..###..#####....###....#.#...###.##..#.#.#..#.##..##.#.######....###...##..##.####.##....###...#.#...####.#...#.#.###.##.#.......####.#.###..###.#..#.#.#.##.#.###.#...########.###..###..##..#..###.
..#...#.###.##..#....#.....#.##..###...#....#.#.###.##.......##.##...#..#.##..#..#..#..##.....#.#...#..#..##.#..###..#.######...#.#.#..####......#.......###.#..#..##..######..####.#.....#..###.#..#..#..###...#.#.#.#....#......####.#.#..#.#..#.#.####.#####.##.####....#..#..###.#.#.#..##.#.#.....###...#.#..###.#.#....#..#..##.##.#.####.####.#.#...#.##.#..##...##.#..##..#..###.####..#...#...##.#..###.#####.####..#.#.#.####...#...#.#...##.#..#.#..####.....##....#.#.##..##.#..##...#..#.###.#.#......###.##..#.##..##.##..#######....#.##.###.#..#...##.###..#....##.#...#...#..#...#..#...##.....#.#.####...#...#.#.#.#########..##.......#.#.####...#.#.###.#...##.##...##..#####....##.###.##..#.#..##..####.....#####..#..#..#.##..####.##.#...#...#.##...#....###..####..#..#.##..#.........#.#######.#....###....#..###..#.##...##....#..#.##.....##...##.#.###.#####..###.#.##..###...####.#.####.###.#.#........##.#.#...###...##.##.#.###....#.###......##.###......#.##.#..###.....####.#.#......###.#####.....#...#.###...#..##.#......#####..###.##..##.#...#...#####.#.#.####...######..#..#.###.#####.#...#...#..#####.###...##.####........####.#..#.#.#.#..#..#####.###..#..##.#.##..##.#######..##..#.....#.##.###..##..##########..##.#..##.###...#.#..#.#.#..##.######.....#.....#.##.#.##..#####.#####....#.....#.#.##..#..######.##..#######.#..#....##.#.#####.#.##.#....##.#.#.##.#..#..##.##...##..#.....##.....#.##...#....#.#..#....##.#.....#.###...#.#...#.###.###.#.###.####.####.###.....#...#.#..#.##..#.#.....##.....#...#.##.##.##...######..#..#...##.#..#.#...#.##...#.#..#...#####.##....#########.#.####.#..##....#.##.####..##...####.##..#...##.##.##.#...########..#..##..#.##.....#.##..#.....#.#..###...#.##.#.####.#.#.#...#.##.#..##..#####..#.#..#.#.##..#.#####.##...#....##..#.##..#.#....#..#.#....#######.##.##.##.#..#.#....##.....##...#####..#...#.#...###..#..####.#.###.#.#.....##.##.##..#.#.####.....#.####.###.#.####..##...####..##......#.###.#...####.##.#...#######...##....###.####.#...#...#..#.#.#
..##.#.#...#.#...#.#.###.#..#..##.#...##..#..#..##.######.##.#######..#...#.###...#...#......#...##..##.###.#...#..#...#.###..###..#............####.##..##.#..#.#.#..#....#.#..#####........##...#.....##.#..#....##.#.#.######.#..#...#..####.#..#.#####..#....##...###.##..#..#.#...#.######..####.###...#..####..#####.#..#....####...#.##.......#.######..##........####.#..#..#.#.#...###.##..#..##..#.......#.##......###.#####.#.##.#..##..#.#.#.#..####..#......##..#.#.##.####..#....####.##..#.#..#..##.#.#.##...##..##.#####..##.....#....#####..##..#....##.....###..##..####.##########...##..#....###..#..#.###...#..#.#..##..#.....##.#..#.#.##..#.#.####.##.#....#.##.####.#.###.#.......###.###.#####.###..#####.#.###.###..#.....#.##.#..#####..###.###.....####..###.#.#.........#.##..###.#####.#...#.###.####......#..####..##.##..#.#.#..####..#..##.#.##.####.######.##.#.##....#..###.###.##..###..##.#....#.##.##.##...#.#.#####.##.##...#...##.##.###...####..#...#.#...##.####..#....#..#.#.#..#.....#####.#.#..#.##.....#######.#..##.###.#..##.#.########...####.#.#####...#....##..#.###.###..#.#...###.##..########.#...#.....#.#.##....##.#..#####....#####......######...##..#...##.....#..#.##.#......#...#.....#.#.#.#####.#..#.#.##...#..#...###..##.###.#...##.##....#..#####.#####.#.####..#..#.#.##.##.#.##.#....#####.##.....#..##..##.######.###.#.#.#######.#...#.#.###....#..#.##.#..#.#..###......#...##..#...#.###..##.###..##....#.#.#.#.####...####...#.#...#.####...#....##..#..#...#.#....#.##.......##......#....##.#.####..####.#.###.##..#.####.....#..#..##..##..#.#..##.#####..#..##.##.#.##.#.##...#.#.###.#.#....###.#.#.##.#..###.#######..#.#....#.###.......#.######....###.#.#.#....###....#.....####.##..#..##....##.##.##.###.#.#.#####...#....#..##..#.....#.##.#.#..####...#.##.######.##.##.#.###.##.#...#...#..#.###...#.#.##.##.......#..#.##.#####..##...##......#.#..#####..###.#..#....#..###...######....#.#...##.###...#..#...#######...###.###..#######.#..#..#.#..#.#.#.#.#.#.#.#.##....##.##...#.###
#.#.#.###.##.#.#####.##...#.##.#..#.#.###..####...#....##..##.##.#.....#......#......#...##.##..#..#############.#.#.#.##..#..######.####..###..#.###..##.#..##........###.###..#.#.#..#...#.#.#....##.#.#..####..#.#...###...##..#...##.#.##..#..#.....##..####.#.#....###.#.#..##...##.##.##...#.##.#..#..#####.#..#...#....#...#####.#####.##.##.##....#.....#..#....##.#..#.##.###.#.##.#....###....#..##.#..#.##.###.##.#...#.#.#.###..####.#....##..##....#####...##.##..#......#...#.###...#.##.#.#.####.##.###......#.#.###....#####...#....########....##.#..###..#.####.####.#..####...##.####...###.....##....#.#..#.#...##.####..#####.##.###.....#.##.##..#..##.#.##...###....##.#..##.##.##.##.#.##.#####....###...####.#..#.###.#.....#.#....#..##.#.###..#..######.##.#.##.##.#.#...#....####.###..####..#..##.##..##..#.#..###.....#.##.#...##..#.#.#.##.#..#.#......#..#.....#.##.#.###.#.###..####....##..##...#..##.####..##..#...#...####.#.##....##...#.#.....#.#......##..##.#.#..#..#.##....##.#.....##.#.##...#.######.#..........####...###.##.##....#.#...#.#.##.#.##.....#.#...#.####...######.##.######....#.##.#.##..#.#....###...##..#####..##...##...#..##.#.###..#.##..#.#.#.....##....###.#.#..##.#.#...#..#....#.#...##.#..###.....###..##.#...###..#..##.##..#####..#...##.#...#....#.##..###.####..##..#..##.#.###....#####.....#.#.##...##.#.###..#.##..####.#..........#####..##..#...#.#.#.#.##.#....#.#.###.#..#...##.##...........#.#......##.##.####.#####..###.###.##..#.###.###..##.###....#.####..#..##.####..####.#..##.###.....###.#####....#####.#.####....######.##.####.###..#####.#.#.##.##..#.....#.......###....#..##.###.##.#..##..#.##.##....#..#........#.#.##.####..##.###...#.###....#.####.##...#.#.#.#.##...##..#...#.....#..#.##..##..#...##.#.#.#.#.#...#.#.##.####.#.#.##....##..#..##.#...#..#.#.##........##.##.##..#..#.###.#.####...#.....#..##....#.##.....#..##.##..#.......#.####.....#.#.##...##.#####..#.##..#.#.##...#..##..##.#..#.#.#.#...###......##..#.###..#..##..#.#.##..#.##..##...#.#...#..#..
#.#.##.#.#...#..#.#.#..###.#.#..##..######...##.##.###...#.##.##.#..######..#....#####....##.####.####...#.###.#.####..#..#.#####.##.##....#...####..#.#..#.##..##....#.##.#.####.######..#.#.##..#..#..##.#..#.......##....#..#..#.#...#...#.#......#.#..####...#..##..#.....#......###.###########.....##..##.###....####...###....###.#...##.#..#.#...##..####.#..#.#.###...##.###.######...##.#.#.##....#####..#....#.##.......#...#......##...#.......#....###...#.#..#.######.##..####.#.#.#.#...###...##..##..##...#.##.#.#.#.#..####...#.##.###....#.#....####.#.##..###....##.##..###.#..##.#.##.#.#.#..#......###..##.##.#.#..####.#.#...##.....#..##.#.#..######.#.##..##..######.###......#.###..........#.##.#.##..#.##....##..###..#.##..#..##...##..#.#..#..#####.###...#......##...#.#..##.#.#...##....##.##..##.#.##.#..#.#....##.##.###.#.##....####..#..#....#.####..#...#.##.#.#.......##..###......#..#........###...##.########..#.#.##..##....#####....#.##.##..#..#..##....####..###.#.####.###.###..##.###.#.....#.##....#.###.#.#.###...###..#.#..###.##.#.##..#..#.##..######.##..#####..####.#...#..##..#.#...##..#.####...###.....#.##.#..##...#######..##..##..##.##...#.##.....##...#.......##..........##.#.#..##.#.##.#.###.##.....##.#..####.#.#..#.#.##..#....#..##....#.#.##..#.#..#..###.#..#..##.#.###.##........##..#.#.##....###..#..##.##.#......###.#####..#.####....##.#.#.######..##...##..#.####...##.##..###.#.#.#...#..#....######..#.......#..###..#.##..#..###.#...#..#.#...####..#.#.###.#..#.###..###..##.###....#...####.##.#.#...#....###..##..#....#...###.#.#..##.....##.##.#...##....#.......#.#.###.....##.##.##.#..#####.###....###..###....##...#.###.##..#..##.###..###.##.####..##..###.##.#.#.##....#.#.##.##.##..#.##.#.#.#..#...###..#.###..###.#...##..#.......##..#.##.###.....##.#.#.##.#####....##.#.######.#####.....#.##.#..##.###....#.###......#..#.##..#..##..####.#.....#.##.#.#.#######.#.#.##..##....#####..###.##.#..###..#....###..######..###...##.#.#.###...##.#.#..##.##.#..#####...#..##.#.##.
...#.#.##..........###.#...####..#.#.##.....#....#..###..#.##..#..#.###...#.###.#.....#..##.####..##..##.###.#..#.#.#####.####.#.####..####..####....#.######.#..#####.#....#...#..#..##.#..#..#..#.##.#....###.##..#.#......#.##..##.#...##.#.....#..###.#....##...#.#....#......##.....#.##.###.##..##.#.##..#....##..#.#####..###.#.#.....##.####...####..#...##..#..#.#...###.##...#.#....#...##.....##.#...###.###.#..##....##..#.#.#.##.#######.#.#.#......####...#.##..#..#......##..#.##.##.##...#..#.#.#....#.#..##....#.......######..#..#.###...#.##.#..#..####.#..##...#.##.#...##..##.#.###..###..###.######.##.##..###...#..#...#..#...##.#.#.....#.####..#.##....####.##.#.#.#...#.##.##...#..#.###..###..#.#....#.....#..#.#..###.#.####.##..###.##..#.#.##...#.##.###..##.####.##..#.###.#....#..#.#...#...#.##.#...#..###...##....#.##..#.#..#.#..##.###.#...#....#.##...#..#.#.##.#...###....##.#...#######...#.##..#..#.##.......#...#....#.....###..#....##..##.#.#.#####.....##....##.#######.###.#.####....#..#.#.##..#.#.##..#.###.#..####..##..##.#....###..#.........###..#.###...#..#.#.###.####.#..###...#..#.###.#.##..###.#.#..#.#.####.##.##......###.#.##..##....##.####.#.#..#.##.#..##.#.#....#.#.#.######.##....##..####..#...##.#..##..###.#..#.##....###..#..###.##...##.##....####.##...#.#.###..###.#.#..##....##.##.##.#.###.#.####.#......#.######...#####.....##.##..##....##......#.#.##.#.#.####..#.#..##....#.#....##......#..#.####............##.######...#####.######.....#.####...#..##....#.#.###..##.#..#..#.#.####.#..##.#..#...##...#..#.....####.##.##..##..##...##.###.#.##..##.#.#.#.#.#.#.##..###...##.......#..#.##...#....#.#....#..#.#.##..#.#......#####.#.#.##...#..#..#..##..#.#..##.....#.#.####..#..#####...###.#.##.#.....##.##.###.....#.#####.#....#.######..##..#.#.#.#.#.#.###..##.#..#...######.#.#......###.#....##.#.###...#.#..##.###..#.##.##.#...####.#..##.##.##..#.#...#.....#...######.##.....##..##..##.#.#.#.####.###....#.#.#.#.#.#..###.#.#.....###.#..##..#.#.###.#......#.#...##...#..#..#.
.#..#.#..#.###........##..#####.######.#.##.#####..###..#.#...###.#.####.#..#.##....#.#...###.##.....#.#..##.###..##.##...###..#..##.#####..#....##.########.#.#.####.#######......#.####....###.###..##..#####.###.##.##....#..#.#..###......#######.###.#...#..##.....##.#.######..#.###..#.#.##.##.#..##.#.##.#.##..#.##..#..#.###...##....###.#.#..##.##..#.......#..##.###.#.##..#.#.#...####..#..#....#.#..#.##...#.##.#.##..#..###.....##..#..#....###.#.#..##.######.#.#.#.####.##.#..#.......###.#####..#..#..####..#.############.###.#######.#..#..###..#.#.#..##..#..#....##.#..#...#...###...#......#..###.#.###.###.##.########.#.####.#...#.#..###........#.##..#.###.....###.#...##..#.##.....#...###.#.#....#...##....#.#....#.#...#..#.##.#...#.##.......##.##..#..#....##.#.#..#..###.#.....##.#...#.##.#...##.#..##...##...##.#..#.....##...##..#..#...##......#.##.##.##.#.###.###...##..#..#...##.#..###.....#.#.#..#..##.#...#.#...#..#.#..##.#####...###.#...#.#...##..#.##..####.##.#######.#.##...#.....###.#.##....#.#..##.#...##..#.##.#..#.#..#..##..#..##.....####.#.##.##....#..#.##.#.#.#.#####..##.#....#.####.###.....#.###...#..#.#.#######.#.#..#.##.##.#.##.#...#....##.#.#..#####..##.#...###...#.##.##...##........#.#.####.###..#..#.###.###..#..###...####.##..#.#....#....#.##..##..#.##..#..#.#.#...###..#.##.......#.#...###.##.###..###.##...##....#....##.#.######...###..#######..#...##.#.#..#######...##....#####...#.#.#.##...##.##.##.#.###....###.##.###...#.#.#.##.##.##...#.###....##..#.##.#.....#.....#.##.##..##.###.#..#.##.#..#.#...#.#.###.#.....#...##.#...####.#....######......######.###.##.###.....######.....#.#.###.##.##...#....##.#....##...#.....#####...####.##.######.####.###..#..#.#..##.#...#.###....#.#.##.....#..##.#.#...##...#...#.##.#..#.#####.....#.##.#..####.###..#.#...###.#.....#.#.#.########.#.###.####..##.###...#.##.#..##.###..#####..#.####.###...##.#####.##....##.#..####..#.#######..####.##..#.##.###.#.#.####.#.##....##.##..#.#..#.###..#..#.#...#..##...####..#.#...#..#..###
##...#....#..##...###.##.##..##.###..#.##..#.#.#####..#...#...##....#...##.##...#....##..###.....########...#.#.####.###..#.......#..####.#....#.##.#..##.#.#..##.#####.##..#..#...#.##.##.#..#.#......########.#...##....#.#.##...#.#...#..#...####.....########.....#.#####..##..#...#.#....#.#..##.#######...#.##...#.#....#...#..####......#..#.#..#.##....#..#.###.#.#.######..#.#....##.#.#.#..#....##.###.##...#.#...##...##.....#.#..#..#########.#..##..##.....####...#####.##..#.####.#..##.####.##..##.#....#...#....##.#..###.#.#....#.#.#.#.#.#.#...####....#.....###..#.#.....####.....#.#..#.##..#..#.##.#.#.###..##..#..##..#...##....##...#..##...##...###..#.####.#####.##..#.#.#.#...##..#......#.#...#.#.#.##.#.##...##.#.##..........##.#.##..####..#..#.#.#..#.#...#..#.###...#.###.......#...#..####.##########..#..#...##.#...##..###...#.#.#..##..........##.#.#.........###...##..#######.##.#......##..#######...#..##.###..#.##.....#.##.#....#..#..#...##.###...####..##.#..##.##....#..#..##.#.#..#.####..#...##..##...#.####.#.##.##.....##....#.##.#..#.####.#............#.##..###.##.#..##...#.....###.##.###.....#..#...###.###.##.##.#....#.#..#.#....#.#..##..##.##..#.####.#.#..#.#.###.........###.###.###....###.##.###.##.####...##.#..##.##.##.##.#####...#.#..#...#..#.#..#.#..##....#.#.##..#..###.##.####.#.#...##...#####..#######..#.##...#.##.#..#.##.#.#####.##.#..#..######.##..###.#......#..#..####....#####.##.##.####.#....##.###...###....#.#.###.#..###.##.#..###.#..#.#####.#..####...##..#.####..##.###..###.#####.##.####..##..#.#...#.#.##..###.#.###..#..#.#.###.#..####.#....#..#.#####.#.##.#.###..###.#.###.##..###..##.#....#..###.#...##...##.#.####.####.##..##.###....#...##.###..####...##.####.#...##.#.#..##.###.#..####.#....###.##.#.####..#....##...##.###.....#..#####.....#.########..#..#.##.######.....#..#....#...####..#.#.##.####.#####..#...#....##.#.##.###..###....###.###.####.##.#.#..######.#.....#...##.#..###.#.#..#.#.##.#...##..###..##.#.##.####.###...#####..#..#.....##.#....####.
.#.#....##..##..#.#...##.#....####.###.##.##.####.#.#..#...#.#.......#.###..#..##.###...##..#....##..###.#.#.##.#.#.#...##..###..#.##.###.#....#.#.##.###.##.##.#..#...#.##..#...#..##...###..####.#....###.#####...##.##..########...####.....#####..##.#...##..##..######...#.#..###.###..#.#####...##..###..#.#.....####.####.#....#.###.#.#.#.####..##...##..###.###..#...#...#.####.....####..#.#.###.##.##.#..###...#.#.#..##.#.######.#...##.....##.##.#....#.#..#...##......#....##.##.##.####...#.#..##.#.#...#.#..####.#.#####..#.#..##.#.#..#..#........#####.##..#...#...#..##.#..#..#####..#...##.#...#.##.#..#####.##..###.#.#.#.#.###.#.#.#..##...#.##.#...####..##.#.##.#..#####....#.##.#..#...#...#..#..#..###.#..#.#..##...###.##.##..##.#.###..##.....#.##.#.####..##.#...#.#.###...#..#....##..#..##.####.#####....###.##.##.#....#......###.#...#.#.##.#...#..##.#.#.####...##....#..#.##.#..###..###.#...##..###...####....##...#..##.##.###.......###.##.###....#....###...#....#..###..#..#.#.#....###.######.#....##..##...#...##..##.....#..#.#.#..####.####.#...#.#.#.#.....##..##..#...#....##..###....#...#.#####.#.#.####.##.####.##.#.....#...##.#....###...#.#.#..####.#..####.##.#.#...#.#.#..#.#.#..#.##....#######.#...####.#####.##....#.#..###..##.#..###..#....#..##..##....#######..###.##....###.##.#.#.....#..####..#.###........###.#####.#.#####.##.#.#####.##.####.#.##..#..###......##.#.#.#..##..#.#.....#.###..#......#.###...##..###..##.##....#....#..##.#..#.###.#..#.##....##...#...#.#.....#.#...#.#.#...####.##.#...#####.....####.#.#.#..###.###....####..#......#.##.##.#..#.#.#..#.##..#...#..####.#..#.##..#....#.#####........#.#..###...#..##..###...#.#.#.##...###.#.###...#....#.#.....#...#...####...####....#.#####..#....###..####.#....#.#.#....###.##...#..#.###..###.#..##.#.####...##......###...##...##....#.#...#..#....#...#...#...#..##..##...#.#...#.##.##..#........##.##.##...#####.#..##.##....####.###..##.######.#####..##....#..#..#...#..#.#####.####..#.###.##..##.###.##...#####..##.......##
#.#..##....###...##.#.#....#.###.#.....#..##..##.#..#.#..####..####..#...#...##..#.###.#..##.#.######.#.###..#.#.##.##..#..#...#.#####...##...##.####.#....#..#####..##.#.##..#.####.#...#.##....#...##.#.##.##.###..####.#..##.#.#..#.#.#....#.#.#.##..#..####.##.#..##....###.#.##########.########.#.#...##.#.##.###..###..##.#..##.#.#..#....###.#..###.#####.#..##...#.#...#..##.#.##...##.....#.###.#.#.#.####..#..####..#####..#.#..##....#.##..#...#.####.#.#.#.#.....###.##.##.#.#######...##.....#..#..######..#.#.##.#..#.##.##..#####..#.######..#..##.#..#....###########...###...#.##.#.##.......###.....#.######..###.....#####.#.####.#.#.#.#.....####.#####.##.#.....#.#.#....#.##.#.###...#.##....#..#..###..##.#..#.##.#..###########.....#.#..#......##...##.###..#.#.#..########.###.#####.#.#....##.#........##.###..#####..###...######.#.###.##..#.#.###..##.#........#####..##...##.#...#...###.###.##.##..###.....##.##....###..###.#.###..###.#.##.#.#........#..####.#..#.##.###....#..##...#..###.##.#####.#....##.#.###.#.###..#...####.....#.......###.###....#..#.###..####......#...#....##.#.#..##....###.##.##..#..#...#####..###.####.#.#.#.#.##.#....#........#..#...#.####..##..#..#.#.#.#..#....##.##..###...#.#.......##...##...##...#...#....#.....#.#.####..#..#.##...#.......#...#...#......#...##.##....#.##..#.#.#.#..#######.#....#..#.#.#.....#.#..#.##..#.#.####.#..##..####.#..#....#..####..#####..#.##..#####...#######...........#..##....#...#.#.##.##.##...##.#.##..#..##..#..##.....#.##.###..#.###....#..#.#.#..#...#.#.#.##....##.###...##.##.####..#.#..#...##...##..##.#.#...##..#.#.#.##....##.#.#.#.#..#####.#.####.#..###......#...##..#.#.#.##..#.#.#.#....#####..####..####...###..#.#.#.#.###.#..#.##.####.....#.#...#.#.####....#.#..#.#.#..#..#..##.##.#...#....#.......##.#####....#.##...#..##.#..####.##...##.....#.##.#...##.#.##..#....#..#..##.###.##...#...##........#....#..#..#.##.##..##.##.###...###..##..##..###..########..#....#..##.##.######.#.##.##..###......##.#.#.....#.#....#.#..####...
..###..#..##.##..###...##.##.#..####.#.##...#..####....#.#.###..#..#..#..####.##.#.#......#...####...#.#.#....#.#...#######.#....#.....###....#.##.#..#.#.#.###.#......####..##...#####.###...#...#...#..####.#.###............###.....#..###.#.#...#...#.....#.#.#.##.##.#.....#..#..#.###.#.#........##.#.###.#......#..###.#..#.###.##.#####..##..###..#..#.#........##..###......##.#..###..#.#.##.#.#..###.#...#.#....###...#..#..#.##..####.###.#...#..#.#.#..##....#.#...###.#.#.##.#..##...##.#..#.##.###.....#.###...#......#....#..#..#.#..#...###..#.##..#.####....####.#....##..#....#....#.##.###....#.##..##.#...#.....##.####..#...##..#.####.#.##.#.#.##..###..#...####....##.#.###.##..####.########.##..####...#.##.##.####.#...###..##.###.#....###..#.#.#.#....#.###.#.#.##.###.###.#..###....####.##.#..#..#........#####........###......##.#.###..#...#...###.#...##.###.##.#######....#...##.#...##....#..#.##.#.##.##.#.....##..##.....##.##.#....##.#..#...####..##.###..#..#.###..#..###.#####.#.###.##..##...#..######.#.#..####..##.##.......#..#..##..#...##..##.#.###.#..##.#.##...####.#.###.#.##.##....##.#..##...##..#.#####.##.#.######..###.#..#...##..#..##..##.#.#..###.##.#....##.....####.....######.######...#.##.##..##.#.#.#...##..#.##..###.#.#.....###....###.##..#.####.##.#......####..##...###...###.###..#.##.......#.#####......#.....##.#.....##..###.##...###.######...##.#...##.#.##.##......#....###...#.....#.#.#..#....#...#.#.##...#.##..#...######.##.###.###..#.###.#.#...#.###..#.##...#######..##...##..#..#.##..##...####..###...#..#.#...#...#....####....####.#..#....##.#..#.###.###.....##.#.#.....#.##.#####....##.#####.###..###.###.#.....#....#...##.....###..#.#.##########.#.#.##.#####.###.#.#.##.##...##..#...#.#.###.##..##.###..###.##..##..#.#..##.#..##..#..###.##.##.#.#.......##.#...#..#..#.#.##...###.##....#.##.#.....#####.##.#.###...#.#.##.#..#.###.#.#...##.#..#..##..#.###.##.#...######.###..##.#..####.#.#..##.........#.....####.#.##....##.......##..#..##.....#.#.##..#.#..#.#..##.
..####.##..####.##..#####..#....#.#.##..#.###.#.###..#..##.#..#.##.#.#.##.######..#..######..#.#..#..##...##.#########..##..#..#.##.#..##.###..###..####.##..#..#####..###..##.##.##.#..#.#..##..#..###.#.#########.####..#.#..###..#...######..##.###.##..##..####....#.##.##..#.##.#####..#..##..#..#.##....#.#...#..##..#.#.##.#.#...####.#..##.##.#.#...#.#....####....#..#..###...##.#.#.......#.###..#.####..###....#.##.#.###..###.#.#...##....###.#.###.###.######..###....######.#..##..##.#.#..##....#...##.##..##......#.###.##.#...#..#..#..#...###.#..#....#...####.#.#..##..#.##.#.###...#.##.#.#.#.#.##.##.....##.#.##..##########..###....##...##..#...#..#.#...######.#..#######..#####.#.#.###.##.###...##..##.#..##..##....#......###...###.####..##..#.#.#..#..#####.#####....#.##.#...#..#....###.##...####..#######.#.#.###..#...#......###...###...#.#..###...#.#.####.#..##..#..######....#.#####.#.##.##.####.#.#.#..##.##.##.##.#.#..###...#####.....#.#.#..#..###..#.####.##.###.####....###...#..#.#...##..##...#.###..#..#....##.##..#####.#.#.##...#.#..###...#.#####.#...##....##.#.#.#.#.#.##..#..##.#.##...#.#####.##.......##..#.#.##.##..#..#....#...#....#..###.#.#..#....##..#.##......##.#...#......###....#.#.###.###.###..#.#.....####..##.#.##..#.#..##.######.#..#..###..##..####.#...##.#..#.######...##.##.###.#.#..#.##.#..#.##..#.#.#...#.####...#...####..#.##..#..##.##..###.####..#.####.##.#####....#..##.#..#.#.##....##..#.###..##..##.##....#..#####....#.#.#..#.##.##..##.#..##..#...###.....#..##.##.#...##....##.....#..#.#####..#...##.#.#.#.###....#####...#.###.#.#.##.##.#.#.#...#.#.##........#..###.##....#..###....#.#..#....##........######..###.###...##.#.###.#.##..#.##....###.#.###.#..#..#####.#.#..#####.##.#..####.###.#..#..##...####.##..#.##..#.....##.#..#.###.##...#.....#.#.###.####..##..###.#.#...#....#......##...#.#.###....###.#...###.#..####.#..#.##.#.####.#.##..#..#....#.###...#.....#.###.##.####.#.##.##..#...###..#.#.#..##...##.#####...#...##.##.....#....####.##.###.##.##..##..##
####....#.##.##.#.#####......#.####...##.##....#.#.........#.#..####.####.#.##.#.......#.#....####.#.#.#.#.##....#.###..##...#.##.#..#...#...#..##.#.#..###..#..#.#..#.##.#.##..######.#.#..#####.###..####..###..##.##.#..#.###......#.....#.#...###..#..######..#.#####.###.##.....#...##..#.##..#.###..###.#...##..#####...###.##..##..#.#.##.##.##.##..#.####....#..##.#.#.#.#..##...####.##..####..#....#.#....##..##.#.#.#..#.#..###.#.##..##..##.......##.#.#..##......#.##.#..##..#.#.##..#..#........#...##..#.###...#.#.####....##.##...###.##..###.#.###.######.##....#.#..##....#..#...#..#.##.#..#..##...###......#########..#.#####.#.....#...####.#.#.#..###.#.##.##.#.###...#..##..#.#....#.....##.#...###.#.###.######.#.....##.....#...#.#........#......#...###..#####.#...###.#.#.#...#....####...#########..##...#.####...#.#..#.#....#...#.##.#..#.....##..###......#.#####.#.....#..#.#.#..####.#.###.#..#.###....###..#....#.##..#####.####.##.###..#..###...#.##..####.#...##.####.####.....#.##.#..#.#..#...####.##...#####.#.....#.#..#..###..##...##..##...#.#....#...###.###.#.##.........#.##.#.##..##..##.#.#.##..#.##..##.##.##....###.##..###..#...#.....#...#.###.#.#.#.###..#.#...#..###..###..###.###..#...#...###.##.......#####....###.##.####.#..#...#.#..#.##...###.##...#.#.....###.##....#....##...###.#.#.#.#.##.#.#...##...#.###.###..#.#..#.#.#.......##.#..#.##..##.#..#.....#...#.###.#...#.##.#.##...#...#....####....####..#..#..##......###.#..#..##.#.#.##.#.##..#....###...#.#..###.#.##.#.....#..##.#.###.#..##.#...##.##.##........####.#.......#.###..#.##.##....##..#.###....#..#.####..##.#..#.####.#.#.#.##.#.###.###..............#....##.#.##.###.##...######.#...###.#..##.#.#####..#.....##########...#....#...###..#....###....######.###...#.#..#.######.##.##.##...#...##.##.###.#...#......###..##.####..#..#...####...#..##.#...##.#.#..##.#.##.....#..##..##...####.#.##..##...###...#####..#.#.....####.#..##.##.#.##.#....####.....#..#...#.#.##..#......#..#.#...#.#...##.##.##.#.##...#.##..#...#.....##
..#.#####.#.#.#..##.###.#.######.#..#........#.#.#.#.#.##.#..#...##.##....#..#..#...#.....####.#..###.###..#..#####..#.#..###........###.##...##.###....#.###..#####..##..##.#.###.#....###..#..#.#.########.###.##.#..##..###........####..#...#...#....##.###.#...####..#..#.###.##.#.#...##...###.##..##.##.#....###.###..##..#.###.#.....#.###.#....#...#..##.##.#.##..#..##..###..#.###.###..#####...#.#....#######.#.##.####.#..#...##.###..#.###....####.#..##...#.#......#.#.##.##.##...#...#.###...##.##.###.####.....##....##...#..#.###...#.#.#...#..##..###.##.#..#.#.###..###..####.##.####....#####.######....##.###.#.#.#####..#....#..###...##.#.....###..#....#.#.##..#.#...###....#..#.####...#.####..#.#...##.#...########.##.####...#...#.......###..#....#.##....######.###...##..##.##.##.#...#.#.#.##..###....#..###.#...#..#.##..##...####.###.#...##.#..#####.#....##.......#.####..#.##.#####....##...#.#..#..#..###.#..##.##..#.###.#...##....#.##...###.##.####.#.##.#..#.##.#..#.###.##..#..#.###..#.###..#.#...##...#.#.###.#####.#..#.#..#..####...###..#..#.#.######..######.####.##..##.#..#.##...#...#####.#..#.#.##.#...##.#..##.....#..##..#.####.#.#.###.....##..###.#..##..##..##.#.#..######..#####...##..#..##.#.###...###....##..####.##....#...#..#.#.#....#.#...##.##..##.#.#.....##.##.#.#.#....###..###..####..##...#.#.####...#.#####...##.#..###.###....#####.########...#.#..#..#..###..###..##....#.##.#...#.##.#..##.####..####...##.########.#...#######..###......#.####.####.#...#..#..#.####....######..####...##..#..##..#...#..####.#.#.#.###...##....##..#.......#.##.#.###.#####...##...##...#...#.####...###.#.#..###.........###..#..#....##..#..#..#....##...####...#.#######.......##....#.......#######.#####...#.#.##..#########.####.#.#.##..#.#.#..#..#.#.#.##.......#...##.#..#........###....#...####.....##.##..#..#.##..#..#.##.##..###..##..#.###..#.###.###.###..#.####.#..###..##.##.#.##....##.#.##.##..#.###...#.........#.####.###....##..####.#.##.####.#..#.####.#...##..####....##.#...#.#.#.#.#.
...#.#.#..##....##.#.##.#..####.#.##.#..#.#...#...#.#.....#.....##.#.##..#.##..#...##.#####.##.#..#######......######...####...#.###.###.#.##....###.##..###.#...#.#.#.#.#..#.#.##....#...####..#.#..###............######.#..####.####.##.##......#.#....###.##....####.#.#..#.##....####....#.#..###.....#.#.#.#....####.#.##..##.#.#..#...####.#...#.#.#.#..#.##.#.#..#..###.#.#....#..##.#....#.##.#..#.#..#...##..#...#...#.##.#...#.##.####...#.#..########.#.#.#....#..####..#.#.#.#.##.##.#.....#........#.###.#.#..#######.###.##..#..#.#..##..##...#..#.##....#.#..#.....##.#.#.#.#.##..##...#..#.########.##.##.#.##.####..#..#.#.###..##..#...########..#.##.#.##....###.###.####.#..###..#.###......#.###.###.##.##..######.#.####..##.#.##..#.###.....###.#.#..##.#....#####.##..##..#..##.###.#..###.......###...#.##.###.#....##..#.....#....#.....####......##..#..#.....#....#......#..###.#.#.###.#..#.##...#####.#####.....##.###.##..#.###.......###..###..####..#.#.......###...#..#.#..##.##.#.#.##.#.#.#.##..#..#.###.##.##.#..#....#####.#....##.#..###.##......###.#.##.##.#.##.#..#..##.##.###.......###..####.....#.##.###.####..##.#...#...###.##...##..#.#####.###.##.#####....#.#......#.###..#####.#..##..##..##...#..#.####.#....#.#####...##.#.#..####.......###...#...#.##...##.#....###....####....##.#..#.####..#.#.........###.####.###.##..#.#####.#.##.#..###.#.......##.##..#####..#.##.##.#####..#.######.....##.###..##.#.....##..##.#..#.....##.#...#.###......#.##.#.#...#.#..##.#.#.#.#.###...#.###.##...##.#.#..####..#....#.##...#..#...#.#.####..#...##......###.##..##.#..##...#..##.#.####.#..##.###..##...#..####.#...##.#....#.#....##..#...#.###..##.#.##.##.###.##.########.##.##....#..#...######.#.#.#.#####...##....#.#...##....#....#.##.#.##..##..#.###.###.#.........#..##.#.#.##.....#......#..#.####.#.##.#.#..##.#.#.###.###.###..####.####..###.#..#.##..#...#..#.#####.#.##..#..#.#......#.##.....##.#...#.###.#..#.##..##.#...#.####.....##.##.####.####...##.#..#......##.#####.###..#.####.##.###..##.#####
.#.#.#..#####.#..##.###.######.#.##.....#.####..##....##.#.##.#....#.#..##..#..#.#...#....#.###.#.#.##.####..#..###..##..##..##..####.####.#...#####..#..#.#..##.#.##..#.#.#...#....###....########....##.##..#........#.#..##....#.####.#.##.###..##.#.###.#....####.##..#.#...#..##.....#...##.#.#..##..#..#.#.##.#.#.....#...##...##.#####..#####.##.####.###.#....###..#.#.##..###..##......#..#.#####..##....#.##.##.....######..#...###....###...##.#..###.#.###..###..#..##...##.#.##..###..#.##..##.#..##.#..#.#.##.##...#..##..###..###.#..#.#..#..#..#.##.###.......##.#...###...##.#...#...#...#.###.#.#.#..#...##.#.#.#...#######.########...#...####.#..####...#..#####.#....#..###.##....#.#.#.#.#.###.###.#.#.#.#.#...##...##...####....#..####.##.#..#.##.....#####.###...#.###...#####.#.##......##.###..###.####.#..##..###.###....##.##........#.#.#.#.#.##....#.####...#.#..###.####.....####..####..#....#.##.####.#..#.###..#####..##.####.#.....#.##........##.##.#####...#..#.#.#....###.##...#..#...#..##..#.#.##.###.##.######.#.#..####.###.....#####..###...####..#.#..####....###...##....##.#..#..#.##...##.##..#.#..#.##.###...#.#.##..##.#..##.##.###.....#.##.#..........##...#.###.###..###....##.#.#..#.##.##.###.##.#..##.###..##....#####.##.#..#..#.....#.....#.....#.....#.....##..##.#.##.#.#..####.###..#.###..##..#..#...###.#.##....##..##.#.###.##.####..########...##.#....#......##..##..##.##.#.#####.#.##..#....#..#...#.##.##.#.....#..#.....##.####..##.##.####....##.###....#...##.##.#####.#.##...#.##......##........##.#####.##......#..#..##.##........#.#.###.###...#..#..##.#.#.#..##.###.#..###.#.#..#.#....#.##.##.##...##..###.......###..##.##.#.##.#.#...#..S#.#..##.#..##...#.#.#..###.##.#.#.#....##.#.#...##.##.....###.#.####.#####....#..###.#.##..#..####.#...#...###..#..######...###....###...#.#.##..#........#.....#.####..##.#..#.#....#.........#.##..###.###..##.##.#.###...##.##......######.###.#.##..##...###.###...#.#..####......#.###.##.#..#.#.####..##.#.###..##...#.##.#..#########.#.#.....
#.#.#..##..#####.....#.###..##.#..##.#......#...##.####.#....#####..#.#..##..#####.#####.....##.#..##.....#...##.###.....##.#..#.#......#.#.#.##.#.#......##.#.#..#.###...##...##.#..##.#.###..#.##.#.#.###.##...##..#..###....#..#..#.##.#.#.......####.##.##.##.####..#.#.####..#.###.#####...##..#.##..####.###.....###.#..#..#.....###..#..##...#####..##.##..##..##.#..#.......#...##.#......####.#....#######....###..#..#.#....#.#####.#..#.#.##.#...##.#..#.#..#...#.##.#.#..#.##.##.##..#..#..###.##.####.#...#.#.#.##.#.###...#.#......#####.#.##..#..##.#..############..#...####..####..##.###...#..##.#.#.##...#.######.####..##..##..#####..##..##..#.#.#...#..###...#####.......##.##...#..##.#...##..###....#.##.#..##.#..###....##..#.#..##.#####......#.######.#.#...######...##.##.###.##..##.##..#......##.###...#####....##.###.#..#.##........##..#.##.#.#.###.##..##..#.#.#..#...####.#..#...#.###.#.##.###.#...#.##..##.#..##....#####...##...###.#..####.#...##.#.##...#..##..#...#...###.....##.#.####..#..##.#..#.####.#.#.....####..##.##.....#...##.#...#............#...#.##.#....#...#..#...#.####.#..#....#####.#......##..###.#..##.#..#.#.#.#.##.##..#.###.#..#....###.#...#.#.#..###.#.##..#.###.##....#.....###..#.#..####...##..##...#.#.####.#.#.##.######....#.#.#.#....#..#..#...#..#.......#.#..##..#.#####.##.#..##.##.##.##...##...#.####.#...#########..##.#..####....#.##.##...#############...#..##..######.###.##........#.#..##.#.#...##.#.#.####.##.#.#....#..##.######.####.##.###..#......#.##..#.##......#..##.##...##...#.##.###.##.#..###..#..#...#.###..##.#..###.###.#.##.#.##.#####.#.#...####.##..##.#.#####..#........##.###........##......#.##..#.###.##.....###.##..#.##.##..#......####..#....#..####..#...#..#..###.##...#.##.###..##.##.###########.###..##..#..#.#..##.#.####...##..####.#.#..###..##.#..###..###..######.#.#.#....##.#.##..##...#..###..####.#..##..##..#...#.####..#..#####..#..##.#..#..###..##...##..#..##....#.##.#.###...##.##.####.##...#....#.##.....#......###...#..#.#.#..#...##.##.
#.#...##.#.##.#..##..######.#.....#....###.#.#...###..##...#.#..###.#..#.#...#..##..#..#.###.#..##.#####.##.#.####.#.######.#...####..##....#.#...#.....##.##.###.##..#.#..##...##..###.#....#...##...##.....#..###...##.#.#####.#..##.##.##...##.#..###.#####.##....##.#...#..##...#...#..##.####...#....##.#..##.#.#.##.##.####.###.##.....##..###..##..#.##..#..#...#.#...#..##..###.###...####...#.###.#.#.#.#######..#......##..###.##.#.##..#...###..###...#......##.#.#####.#.#...#.##..###.#.##.###########.#...###.#..##.#.#....###..##.##...##.#..#.###.#.#...##...###.######...#.###..#..###.....#..#..#...#.########..###.#####.....##.###...#..#...####.#.#..#..#...###.###....#.##..#.#.###..##..#.##..###...#.#.....###..####..###.#..###....#.####.###...#.#.#..#.#.###.#....#..#.##.####.###.#..##.##....#.....#...######.#....#....######..#..#####.#..#.#...#.#....#......#####..##.###..###..#.##.##...#####.###.#.#...##..#....#.#.......##...###.##...#####.#.#...#.#...####.#.##.....####..##..#..##.#.#..##..#.#.#..#.####.#.#####.##..##.####..#.###.#....#.....##..#..#..#.#.######....##..#..#..#####...#.####..######.##.###.####..#.#..####.#.###.#####..#######..###.###.#.#.#.#.##.#.#.#...##.###...#.#.##.#.###.##...######...#.#.###.########.#.##.##.#...##.#.##......#.#...#..#.#.##.##.##...#.#..###..#.....#.##.##.#..#...##.#..#.#...#....#....##.##..##.#.##.#....#..###..##...####.....###.#.#..###......######.#......######.#.#...##..#....#######.###.#...###..##.#..##.#..##.####..##..##...#.##...#.#.#.##....#...#..#....#.#.###..####...####.#.......#...###.##.#........#.#..#.##.##.#.#####..##.##..###...#.#....##..###...######.##..#...#.#.###.####.#######..##...#.#.....#......##.##.#.###.##..##....#.#...#..#.##..##.#...#..##########..#.#.####.##..#####.#..#########.#..#.#.#.#.##...#..#.##..#.#....#######.#.#..##.#..##.#..#....####.##.#....#####...#.####....#.#.#.#.#.####.###..##.#..#.##..##.#.##.###..#...##...###.#.#.####..####..#.#.#..###..####...#.#.#.####.#####.#..##.....#..#..###.###..##....#.#..#
#.#.####....#..#...###.##.##...##....##.#.###.######..#####.#.....#..#..##..#.###.....#.###.#..#.#...#.#....###.#.##..##........#...#..#.##.#..#..###.##.##.....#.....#.##...#..##.##.##..##...#.......####.#..#..##...#...##....#.#.....#..####..##.....#.##...#...##.#.#.###.....#..#.#.#..###.##..###......####..#.##.#..#..#....#####.#..#.####.#.#.#####..#######....#.###.#####..##.#.#.....#....#....#...##.......##...#.###.##..#####.####.#...#.##.#....#..#.###.###.#.####.....#..#..........#.#####.#.#..###.##.##.....#..###..#.......#...##..##.#...#....##.#####.....##.#...#....##.#.......#.##.##..#.#.#.#.#..#.##.....#.#..#..#..##..###..#...#...#.#..##.#..##.#..##....####....#.###.##..#.#...#..#.#...###.###..###.##.##.##..####......##.#...##...#.#...#.##..#...#.#.#.#.#..#..###.....##########..##.....#.#....####.....#.##......#.#....#...##..#.#....#.########.#.#......#.####.###.#..#.##..#.###.##..###.#.#..#.#.######.....##....####.#.#####....##...#.####..######.#....##....#####..##.##..##.#..#...#..##.#.#.##.#...##..###.#.###.##..#####.#..###.#...##.#..##..##.####..####.####....#..#..###..###..###..##....##.#.#.####.#.#.#..#.#.##...####.#.#...#.#####.......##...#..##.#...#....##.##..#..#..#.#..###..#..#.##...#####.##..#.##.#..#...##..##.###..##..#..##...#..#.#.#.##..###...#....#...#.#...#####...##..##..##...#.#.#.....##.#####.#.##.#...#.#....##..##.##.#..##...##.#.#.#..##....###....#.#..###.....#..##..##.#..##..#.#...#####....#.#..#.####.#..#.#..######..##.##...###.#....##.##..#.#####.##..##...#####.#.#.#.....#.#.##....##...#.#....#.##..##.###..#..#######.#####...##..#..#.#.....#.##.....####....##...#..#..##########.#####.#.#####.##..#.#..#......###.###.....#.####.######.....#.#.##..###..##.....####..#.#.#.###.#..#####.......##...##....##...#.#.....##.#.......#..##.#.#.####.#..#######...#.####.#.#..#..###.#.#.#........###.####.#####..########.#.##..#####..###...#.#.###.##.#..#.###..##..#####.#...#..##.#...#####.#.##..#.##...###.#..##......######..#.####..#.#..###...##..#.....#
.....##.####.##.#....#.#..#.#.#..#.##.#...#......#####...######.##..#...###..###.#####..#....#####....#.#.#.##.##..###.###.####...#.#.#.....#.#.....#...###...#..#.####.##.#.#..#..###...#.#.#..##..##.#...#......##.#....#.....#...##....#####...#.#..#....#...#.#......#.#..#.#...#...#.##.####.#.##.##.######...###..##...##..#.##...##.#.##.#.#.#.#.#####.####.#..##..##...#...##......##.#.#.#.#.#.##...#..#..####.###...#...#...#..........#.##.#######.##.#.#.##.###.#.##.#..#####..#...#..##.#.#.####..###.#.###.####.#..#.##.####..#.....#..##..##.##.##.#...####.#.#.......#.#..#.###.##....##.##...###.#.....#....##.###..#####.....####.###.#.#.######...#.###.##...##########.##..##.##.#.#####...##..#......#.###.##....###.##.#.##..##..........##.#...#..#.#..#.###......#.##..#.###...##.#...##.....##...###.#..#..#.###...#...#...#.#####.#####.##.#......##...#...#..##..#..##....##.#...##...##.#......#.....#..#...#......#.#....#..###.#..######..##....#..###..#.#.#.###.#...#.#.#..#..#######.#.#.#..###.#.######.#.#...#..#..#####.#...###.......#..#####....##..##..##..#.####..###.#..#..###.#...#.##..####.####.####..#.........#.#.####...##.#....###.###...#....#.#..###....#.###..##..##.#.##.#.##...#......##..#.###.....###.###.#.#..#.....##.#.#.##...###..#.#..#..###.##...##..#...#####...#.##.#####.###.#.##..##...#####.##....#.#...#.###.##.##.###.####..#..##....##....###....##.........#..#.########.###.#.#......#...##.#....##...#.#.##..###..##..#####.####.#.##..#.#......#.###..###.......#..#..#....#..#.###.#..#...###...####.#.#..#...#.###.##.##...#......###..##.....#.#...#.#.###..##..#..#.#.###.##...#..##....#...##....#...###..####.#####.#.#.#..#.##..#..##....#.###..##......##..##.##.#.#..#.####.....#.#.##.#.#..#....##..#...#..#####..#..#...#####.####.####..###..#.#..##.#...###.#####.#.....#...##.#...#.##.##.####...#.#.###.#...#.#...##..#.###...#...######..#....###.#...####...#.#.#.##..##.######..##.####...##.##....#..##.#.##..##..##..##.#...##.#.#..##..#..#.##.####..#..#.#.##.##.....#...#...##.#
##..#.###..#.##..#...#..##..#.#####..##.####..#....##.##.#.#..##.#.#.###.#...#.####.#....#.#...##..#.###....###.#..##.##..########.###.######..###..#....#...#.#..#...#.#..####.##.#.#.##..#..#.....###...#...#######....#.##.#.#..#.###.##.##.##.#.###..#####.#.##..##.#.#...###.#..###..##..##########.#..####.#.##.##.####...#.#....##.##.#.....#.###.#.#.#...#....##.#.###..#....#.##.###.#..###.####...##..##..##..#.###.#..#...#####......##..###...##....#..#....#.#....#.....#.###...#####..###...##.#.####...#..####.##.#.#....#..##...##.##..#.##..#.#..###.##..#.#..###....#.#.###.###.#....#.####..##...#####......#....###.##......##..#...##.....#.#..###.####.......##.#.#####.#####.#.#...#.###.#..##...##..#....#####.###..#.#..##......#..###..####..#.###.#..#.#.###..#.....######..#.#...#.#.##.##..###.#..###.###..#.#.#.......##..#.###..#####.#...#.#...#..##..#.#####..##..###.#.###.###.##.#..######.##.####.##.#......##..#.##.#..#..######....####.#.####.#.#..###..#####.....##....##..####..#.#...##.###.#.####..#...######..##.....#.##......#.#..###.....#.#.#.#......#.##..#.#...#.##.###.#######.###.##..######..#..#..#.###.#####..###.#.#.##.#.#.##..###.#..##....###.####........##.##..##.###...#...##..#.#.#..###.#.##.#....#....##..#####..#....#.#.##...##.#..#.##.#..#...##...##..###..#####..#.....#.#......#..#.#...#..#...#.#....####..####.###..###.....####.#.#..#...#.###...#..#.########...#..########.##.#..#.......##.#.#....###.####...#.#.##..#.#....#.###.##..##.####...##.##.#..######.#####.#####..####...#.....##.#.##..###..##..###.#.###.#.##...###.#.####...###.#..#.####.#.#.#...###.#.####.#..##...####....##.#...###..##.#.#....##..#.###....####...##...#.##..##..##..#....#.######.###.######.#....#...####..##..#....#...######.#.####.##...#####..#######..##....###..##########.#..#..#...##......#.####..#.#...##...##..#####.#.##.#...##..##.#..#.#..###.#.#.##.#.##.###.#.#.#.#.##.#..##....#.....#..###...#.#.###...##....#.##..###...#.#.####.#..#...##.###.##........#.##.##....##..###..#..###...#...#
.#####.##.###..#....#####..##.....#..###.###...#...####.#..#.#######..###.##.#......####..#.#.##.....#####.####..#.#.##.#.#.#.........###.#...####.#.##..####.######.#......#.#...#.##.#.#######..#..####...###.....#.###########.###...#..#.....#.#........#.##...###...#..##.##.....#......#.##.....##.#....#...##....##.###.##.....##...#.#.##..##...#.#...###.###..###.###...###.#....##...#....#####.#.#........#.#.#....#.######...#...##....#.#.....####.##.######.#.#.##...#####..#.###.#....#####.###.##.#...#......##.###.#####.#...##.#.####.####...##.#####....####...###...#.###..#####.###...####...#..#.##..###...#...#.#..########.....#####.##..#.#..#.........#..#.#.#.###.##....#......######.#.....#.##.#.....#.####..#.#...#...#####.##.##.#.#..#.#.###...#..#..##.#.#..##.###...#.####...#.#..###......####.....#.####...#..##.###.##.#.##..#.#.#..#...###.######..##..#..#..##.#...#.#.#.#.#..#######..####.##......#.#..#.#####.#..#.###.....#..#..#.#...#....##.#...#...#...#.....#...#.####...####.##.##.###..#...#.####.##..######....##..#.##..#.#.#.###...##.###.####.######.#.##.#.##.#.####..####..##...###...#.#.#####.#...#........######..#.#......#.##..##..##....#.#####.##....#.#.##..###..#.#.###.#..#####.##.##.##..##.###.###...##......##.##.####.###.#.#......#.......##.##.#.##.....#.###...#.#.#####.###.#.#..#......##.##.#..#.###..##.#..#..#..#...####.....####...#.#.#.#.#...##.####..##.##.###.#.#.#...#.#.####..#.#.####..#########.##....#..#....###...####..#.###....##..####.#####.#.###.#..#.##.#####.#.#.#.#....#.##.##..##.##..##..#.#.##.##.##.##.##..##......#..###..##.########.#..##...###.###.#.#.#..#####.#....#.....#.#.#####..##....##.##.#...##..####....#.....#....#.#..#...##..#..##.#...#.###.#.#.#.....#.#..##...##.#..##.#.......#..#...#.##.#.##.###...#..##.....####...##......#...#.#..###.##.#...#...#.#....#.#.#####....##.##..#####...#..#....##...####..##..#......##.#.........##.....####...#.#.##...###...##..##.##.##########....###.##..#..#...#.###...#.###.#.#.####...#.#..####...##..#.####
#.....##..#..###.#....#.###..###.####.##...#######.####.#...##...#####.###.###......#.#.#.#.#.####..####...###..##...#.#.###.#..###.#.##..#..###....#.##..##..#...#...#....#...#...###.#......###......#..#..######.#..###..###..#.########.###...#.##.#...#....#####...#.#..####..###...#..####.#..###..####..#...####....##.##..#.#.###...#.#.#.##.######..#..###.#.##.##..##.###.#.##.###..#.....####.....#...##.##.#.....####.###..##.#.#.##.#.#..#.#.###..#.#....###.#.##.##.#####....#..#.#####..##.#.##...#.#.###.#...##...#.##..#..###..#....##.#.###.###.#..###.##..#.....##...##..#...#.#.#..##...#.....#.##..#......#.##.#..#....######....###..#...##.##.#.#.#..##.##.#####.#####.#..#####......##...#...#.##.#.###..#...#...#.###..#...#.##.....##.#....###.####...........###......#####.#...##..........###.##.##...#.#..#....##..#.#.#..####....#.......#..#.....##.#..#.#.#.#####..##....###.......#.#.######.#..#.......##.#..#####.#...#.#..#.....##.#..###.#....#....###.##.####.#.#..#####.#..##.#.#.#.#..###...###...#.#...#####......#.#.#...##.#..#.....#..#.####...#..##.....#.####.##..#.#..#.###.#.#.#..##.#.#.####.#.#..#####..##.#.##..###.##.##...#........####........###..#...#.....#....#.....#..#..#...#.#..#...##.##..####..##...#.#..###.#......###...#...#.#.####.###....#######...#..#.#..#..##.#.#.####...#.......####..#.#..###.#.#....#.#.###...######.#.#..###...####.#.#..##.###...#.###...##.####..#..##....#..##.#........#..####.#.####...#....#.##.##..####.#####.#...#..#.###..#.#..##.#...#..##..##...#.#.##...#.#....#....##.#..#..##....##.####.##.###.#.#####.#..#..##.#...##.##..#.##....#..#........##.###.#..#...#######.#..#..#.##.#.###.#.#..##..##..#..####.#########..######...#.#..###.#...#..###.#.#...#.#####.#.#.#.##..#..###.#..####...##.###.#.#...#.#..#.#.#....##....#..##.#.#.##.#....#..#.###.###..#...###.##........##..###.#.##.#...##.#..#.###.......#.....#.#...#..##......#.##....####.##......#.##..#....##.###..####....##.#.#.#.###..##.#.##..##.#.......##.##.....##...##.#######.....#.#.#...#.#.
#..#..#.######..##.#.#####.....##..##..#..##.#####...###.##...##.#.###.#...##.#.#...#..#.##.#.#..###...####..##...#...#..#.##..#...#.#..............##..##..#.......##.####.#...##.#.###.###..#..##....#..#...##.#..#.#..#..###..#.###.#.#.....#.##..##.####...#.####.#..#####.#.#..#.#..#.#.##.#.#....##.....##..###.###.#..########....###.#..######.....#......####.######.##.#..##..#.#.##.##..####...#.##.#.#.#.....#..#.#####..#.##.##.####.#.#.#####.#..#...#....##...#.##......###.##.##.#.#.#.#..##.#.###....#...#.##......#.#...###.....#..##....##..##..##.....#..##...##.#..###..#.####.##.#.##....#...##..##.##.#.#..###.#####..##....##...#.#.#.#...#.#.####..##...##.####.#.#....##..###.....#####.#...###..#.#.##..######..##.##...#.##.##.#.##.#.##..#####.#..##.##.#.#..###########..#####.#..##.#.#......#.###...#...#....#.##..###.##..#.##.....#.#....#..#.#.....##.####.#...##.##.#...##..###...###....##.#####.##..###.##...#..#..###.#.###....#..#..##.#.#...#......#.#..#.#..##..##....##.##...##...#.........##....####..####..#....#.....##....##.###.#.#...#...#..###..##.#####.##.##..#.####..##.#.#..####..#...#.#.##...##.#..#.#.#.##.##...##.###..#....#..#..##..#.###.#.###.####.###..#.....###.#.#.#.###.##.#..###..#.####...###..####...###.##...##......##.####.###.###.##.##....##.##...##.#####.###..#....#####..#####.##..#..#..#.##.....#.#.#..#.....##.#.#...#..####.#.#...###.#.#.#..#...##.###..#..#.....#...#.....#...#.##.#..#...###..#....#.#....##.###.##..#.....#...#..###...######.###.#.#####..##.###.#...#.#######.##....#..#........#..#..#.##.#.###..##..#.....###.#.#..#.###..##...##.##.#.#...#.######.####..#.#.#..#..#...##...#.#...#.#.#...####.###.#...#.....#.#####.#####.###.#.#.....#.##.###.###.#.###...##.#.#.#.##.##..######..#.######.###...##...#..#.#...#..#.###.#.#.##.##.#....#..#......##.#....##...###...#.#.#.##..###...#.#.#..##.##.#.#.##..##.#####...##.....#####.#.....##........##.#..#...###..#####..##...##.#.##..#.####...#.#..###...#.###....##.#...#.##.####..#.#.#.###..#..#..#..#...#..#.#.
##.#..##..####....##.##.#..##..##..#.#..##...#.###..#...#.##.#.####.#..#...#......#..#...#.#.........#######.#..###.###.#..###.####.##...#...#.####.#.#.##..####.#.##..###........#..#.#.##...##..##.###...##.####..####.#..#.###.#.#.##.#...###...#..##.####...##.#..##.#..###..#..#####.#.#.######.#####.##.##..###..##..##.#.##.##..#.#........##....#.##.#...#...####...#..#.#..###.#..##.#####.##...##.####.#.#..###....#.##.##..#.#.......#.##.#..#.#.####.##.####....####...#.#####.......#.#..#.#...#.#..###..###......#.#..#.##..#..##..##..##....#.#..###.##.##.#.#.#...##.#...##.#.#..#.##.#.#..#...###.##.##....#...##.#...###..........##.....#..###.#.#.####.#....##..#...##.###.##.....#.##...#....##..#####.##.#.#.......##.#.#..#####...#.###..##.#.#...###.#....##.#.#####.....#.....####..#.#..#...####..##.#.####..######...####.##......#....#..#...##.#....###....#.#.#..#..#..###.##..#.##...##.##..##.###.#..#..#####.##....#...##..####.#..#.###.#.#.#.#.#.######.#...###..##...###.####..#.#######.####..#....####...#...#.....#..#......#.#...##.####.#.###..#.##..#....##..#....#......#..#...#...##..##..#####.#.#.##...#.#..##...#...####....#####..#.#.##.....##....#.#...#..##..#..#.##...#.#.##.#.#....#.####.#.#.#.##.##.##..#.###.##....#.....#....#.##......###.##..#...##..#.#...####..#...#..#..####...#.##..#....#.#..#.#...##.##..#####..##.#.#.#.##.#..######..#...##..#...#...###.##..###.#.#####.....###.##.#######..#...###.#...#####.##..####.#....###..#...#.####.##...#.###..##..#####.....#.#..##.#####.#..###....##..##..##..#.#..##.##.#.##.......#.####.#.##..#...##..##..#...#####...###...##.#...#.#####..#..#....##....##.###...###.........##.#..#.#.....#...###.##.#..#..#.#.#####..#.#.#..###.##..#.#..#.#..#..#.#..#.#.#.#...##..#..#.########.#.#...#.#.##....#...##..##.#.#.....#.#.##.#.###.####.#.#####.#.........#.##..####.##.#.##.#.#...##.##....#...###...#.##.#..#.##.#...#.#..#..###.####..#....####.#.##..##.##.##.##..#.####..#.##..###..####.....####....#....#.#.#....#...###.....##..#...##.##.##...###
#.####...##..#.##.#...###......##.#.#......#...##...##...####.##.#.##....####..#.#...#..###.#.###...###.#.###..#..#....#.##..#.#.##.#...##...#.#.#.#.###..##.#.#.#......#..####......###..####.#.#...###...##.#.#.#...###...##.#.#.#.####....##.#...#....##.####.#.#.##..#......#..###.##..###.....#..###.##..#.###..#..#.##..###..######.##.#.#.....#.#.#.##.###.#..####....#..#...#.#.######.###....#..##.####.###.#.#####...#..#....#####....#..#...#..#.#.#...#####..#.#.##.#.#....#######..##..#.#.##.#..###..##..##....###.######.#...#.....#####.#.#..##..###.###.##....##.##.#....#....#.#.#...##.#..#..#.#...###.#...#...#..#......#.###..##..##..###..###....###.#.##.##...#.........##.##.#..##..#.##.##..##...#.##.##..#.#.#####.#####......##.#....###.##.##..##.#..##.#####.#..#..#.##..#.##...##...##....####.##..#..###.###.#...###.#...#...##.##.#######.###.#...####...##.#.###..#####.#.#...###...#..##...#....####.#.#####..##.##...#####..##..#..#.......#.####.#####....#..###.#..###....#..#.###...##..###..##..#.#..###..####....#.....#...#.#.#..#.#.#.#...#...###..#.#.##.....##.#..##...####.#...##..###.##.#..##.#.#.#.#.###.##...##....##......##.#...##....#..#..##.###...##..##.#.#.#..#.####.......##..#...#######..####.#.......##.#...#...#.#.##.###..###..#...#######.#.###.##.##.###.##.##...##.###...##.#.#..##...#.###.######...#..###....####.######.##.##.###.##.#######.#.#....##....##.##.#..#####..##.####.######.####.###...###..##.###.###.##.#..#..###...#.##.###..#.#..##.....#.####.#..##....#..##...###.####......####...###.....###...###.#.##...##.##.#...####.#########.....##..#####.#.#####.#..##...##....#..###....#..##.###.#.#....#####...#..#..#..##..###...#...#.##.####................##.....#...##.#.##..#..#...####...#.#.#...###.#.#..#..#.####...##.#.....#..##.###..##..#.#.##.##.....#..##..#.#.#.####.#########.####.##.#..######.##....#.###.#####...####..##....#.#.##.##.#..#####...####.#..##..#.###...#.#..#.#........#.#...##.###.#.##.####.#.......####.##..###....##..##.##.#...#########.#...#..##.
.#.#...#..##...#....##.#.#####.....#..###..#..#....#..#.###..##..#....###.##.##...#..#...#....#.#.##.#...#..####...#.##...#.#.#.##..#........#...##..##.#.#.##.......#.#.#.#..###.###.##....###.#..##.##..##....##.#.###.###.#####.####.#.##..#######.#.###.#..#..#####.#.###.#...#.#.#.#.####..#..#.#.##.#.#.#.#...#.###.##.##....#.#..###.###..#.#.#..##....###...##..##..#...#.########..##...###.#..##.#....#.#.######..#.#..#..##.##..##.###.#.#..#.#....#..#.#.#.#######.#..##.#.##.###..###....#.##.#.#.#.##.#.##.#..##..####..#...##.#..###.####.###.#####..#.#.#...##....#.#.#...#...#.#.....#....####.#........#..#........#..#.##....#########.###.#.#.#.##...##.##.#.#.####..#.##.##.#.##.......#...#.#....##..#....##.#.######...####.#..#..##..#.######..##.#.###.....###..###...#...#..##..#...##.#.#.#.#..#.##....#..#......##..########.##.##.#.##..#....##..##..##....##..........###..#.#.#.#...##..##...###....#...#...#...#...#.#...#..#.#...#..#.#.#.#.##.###.###.#.###.#..#...##..##...#..#.##..#.#..#.#.#..##...#.....#....#..#..##..#####..#....###.#.####..#.##...#.#...#.##.#..#...#....##..###.#.#####.##..###..##..###..#......##..#..#..#..#####.......##.#...##.####...#.###......#.###.#...#..#..####.#.......#...#############....#..#..#.#....###..#..##.####...#.###..#...#..#..##...#.##..#####....#.####.##.#.#.##..##.##.#.#.##.#..###.###.##.#...#####.#......###.##.#.....#..#.....#.#..#.##....###.#..#..#......##.......##.#....######....#.#.##...###.###.#...##.......##.#.#..####.####...##.#.######.#.###.##...#..###...#...##...#.##....###..###.#.#.#.#...#.##.#.#.#..##.#..###...#..###...#....#.##.#.##...#..#######.####.#...#.###.#..##...###...#.######...##.#..#.##.######.#...###..#.##.####...#...#.###..##..#..#.#.#....#...####.#.....#..#.####..#....#......#.####....#.#.#.#...##.#.#...##.###.#.##.#...###.##.#..##.##.###.##.#..####.#.###.####...#...##.#####..##...##..##..####..###.##..####...#.###.##......#.#.##..###.....###.###..##...##..#.#......#..#..##..#..#....###.#...#.#.##.#..###.#..#.#####.####
...#...#....#.....##..###...#####.#...#####...#####......##.#...###..##...#..##......#....#.###..#.####...##.##..###....#..#..###.##....#..##.#..#..#.##..#.##..#.####...#.######.#..##.#....#.#.#.#.#.....#..#.####......####.#######...####..##..#.###.#...#.##.#.#..##.##.#.#.##.####.#######..#.###..##...##..#....#....#.#..#..##.##..##.#.#...#..#....##..##.#.####.....#..##.###..##.#.#.#......#.#.#..##..#.##.#.##..#.#..#...####.###..###..##...###.##...#...###..######.#.#...###.###.##.#.#...##..#.##.##.#.#.##.#.##..#.##.#####..####.#.##..#.#.....##.###.....#####...#..#.#.###.#..###...#..###..#.###.#.....#.###.#.#...#.#..#.##.#..##..###...#####.#..##.###.#########..##.#.#.###....#....#.##..#...###.###..##..#.##..#....#..###.###...##....##.##...#........##..#.#..####..#...#..##.#..####.#.##.####..###....####.#..##..#.......###.#....#..###...#.#.##...##.##.#.##.....######..#.#..#.##.....###.#...#.#...##.#..#....##..###.....#####.#..#.######.#..#...##....##.#....#.###...####.#.##..#.#..##..####.##.#.#..##..##...#####..###..#....#.##....###..###........#.####.#.#....####..##.###..#..##...##.######.#...#.##.#......#.##....##....#..#.##..#..#..#...###..##.#.#.#..#..###..###.##.#.#....###..##.#.#.#...#.#..#.####.###.##...##.#.##...#.#.###.#####..#..#.######.##..##.##....#.###.#.#..#..#.#.#.....#.#.....###...###.....##...#####...##.#.#..#.#..#.##.#...#..##.#.##.....#.###.#..##.######...#####.##..#....##..#.#..##.#..#..#####.##..#...#...###..##.##...##.#.####..#.###.####.####.....#.#.###..#.####...#..###....#..#.##.#.##.###....###.#..#.#.##.....#...##.#.##.#.#.#.#.#..##..##.#...###.###..#.##...#.#.#..#####..#.#..#.....#.#.#..###.##.#.###........#....#....#..#........#.##..##.#.#.#.#..#####...#........#..#.##.##.#####.###...#.##..##.###.###....#.#..###.###.##....##...##...##..#.#.#.#.###.....###.#..#..#.##....##...####.###.#.##.###...###.#..##..####...##..#...#.###.####.#.#..##..##....###..##.##.#####..###.#.....#..###.#..##.###.##.####....##.#..####..#####...##...##.####....#...###
.##.#####.#...#..#..##.##..#..#....#..###.#..###.#..###....#.##...#..##..##.#..#...##.#.#...#####...#.#.#####..#.#.#####...#......##...###..#.#.....##.###..#.....#..#......#..#.#.####.......#..#.###..#.##..###.#.#####.#..##..#..#...######.#.#..##..#.#....#.###......##...#.....#....#.###.#.###..##...#.#.###.####..#..##...##..#.#.#.#...###.###...##....#.#..#.#...#..#.##..#...#..####..####.#####..#..##...#....#.####.##.......#.####.####.###...#.##...#.##....###.##..##...########..###.###..#..##..########.#.##...#....#..######..#.#######.##....#..###...##.#..#.##.#......###.#..#.#..###..#..####..##.#.#####.#..#..#.##....####..#.#.##.#######.###..#.##..#.#.##..##.....#.##.#.#.....##.#..#.#..#..#......##..#....#...##..#..###..#.####..###.#..#.#..#..#.###.#.#.#.##...#.###.#.#.##..###.#..##..##..###..#.#...##.##.#.#.#.....###...##.###.#.###..###......#...#.##.#..####.#.##.####..####.#.....##.#.#.##..#.....#.#..###..#..##.#.####..#.#.##..##.#......#.###.##..##.#....#.#...###...##.....###.####....##..##.##.#..#.#..#.####...#...###..#.#...#..###.###..##..##..#...#.#.##...##.##.##.###................#..#.#..#.#...#.#.#.##.##.##...#.........######..#..#.#....#.#.#.....#.#.##.#...####.##.###.###.###..#####.....#.#...#...#.#.#...###.##....#.....##...#.##...#....#####.#..#..#.#....####.####...##...##.##....#...####.#######.#..####..#...##..#####..#..#.....########.###...#...##.#####..#..#...#..#.#..#####.##...#..#...#...##.#...#.....#....#....#....#.#.####...#..#..#...#.###........#.#...#.##...#..######....#.########.###..###.#.##...###.#.#.#.#.#.#..##.##.#.##.###..#.#.##.....#.#.#.####..#.#....#.##..#....#..#.#..###.####.#.##.#.#..##.###.#.##....#.....#..##..###.##...#.#.#....##..#..#...#.##..#.#...######.#....#.#...#.##.###....#...#....#...#..#....##...#..##.##..##.###.##..##.###.####..##..##...#####...###...#.....##..#.####.##...#......####....######.###..#.##..#....#.##..##..#####.#...#...##.....##.#.###.##########..#.#####..##..##.####.#.#..#....###..##....###...#..#...#.#....
.#.###..#..#######.####...##.##.#.###.##...#.#.##..##.#..#.##.##.#..######..##.##..#.#.....###...#.#..#..#..#.#..##......##..#..##.##.#.#..######.#......#.######.###.#.##..###...#.###.###.###.#.#..##..####.#...###..#....#..#...##.#.#####...#.#..#####.######....#.##..####..##.######.#..#.#####.#.#..##......##.###.....##.####.#..#.##.#..###.#.##.##.#.#.#...##..#.#...#.#.##..##...#.##...####.##.#.##..###.#.........#.#.....#.#...#.#..#.#.....##...#.....#..##....#...#.#....#.###.#..###.#..#####.#.#.#.#..##...######.#..#..#.####.#####..#..####...#..#.#..####....###.#......#####....#...#.#...###.#.##..##.###.###.....###.##.#..#########.......#.#.#.#.###.##..#....##..######..#..#....####....##.####..#.#.#.#####..##.###..#####..##.#..##...##.....#..###.#######...#.#.#####..#.#.#..####..####..#.#....###.#####..#..#.###.#..#..####.#.##...##.#..#.####.##....#..##..#...#..#..#.###.###..#######.###...#..#.#...##.....#......##.#..#..#..##.#.###....##.#.#.#.##.#..#.#####..#.#.#.###.#.....###.#.#...#.#.##.#####..#.##.#..##..#.##.....###..##.##.###.##....##.#.##..###..###.#.##..####.##.##.#......#####.#..####..#.#.###.....#######.#.####.#.#.#......####..#..#..#.##..##.###.#..#.#...#..#..##...#####..#.#.######.##.#.......###..#...#.###.##....#####.#.##.###.#####...#..###.#.#..#...#..###....##..#..#..#..##.#...#...#.#..##.##...#...###.#..##.###.#..#...###..#.##...#####.#####....#..#..#.#.....##....#.#....#.##.#####.##..######...#..###.#.#...##...##..#.###.#....#####.##...#..##.....###.###..###.##....#.#.#.###.#..#.####.#.#...##.##....###...#...#...###..#.#.##..###.#.####.#.#####.#..#..#.#.##..##..#......#.#.#.##.##...#.#.......##.#.##..############....#.#.####.###...#.##...###.#.#.#.#..#.#.#...#.#..##.##..###...#...##....#..#.#.#..###.#.####..##...##....#..##..####.##.####......###.#.#...#.#.#.#.##..##....##..#.#.######...#....###.##.##.##...##...#.##.#.###..##.#.#.#.#.#....#.#..##.#..###..##..##.#.####..#...#.##..##.###..#.#####.#.####.##...#.##..#.##.#.#..#####.....##....####.##.####
###.#.#######.####...###.##...###.###..#######..#..#######...##.###..#.##..#.####....#..##.##..#####.#....##.##.......########..#.#...#.####...##.#....#...#....#...##...#...#.###.#.##.##.....###.#.##.####..##...#.#.##.#####.#.#......#.####.....##.....#.#..##...#.#......####.###..####..#.....#...#######...#...#.#.###.#.#....#.##.##.####...#.##.#......##.#..##.#.#.##....###..#.#......###.#..####..########.#.###...###....#...#.#.#.###.#.###.####.#......#...###....#.......#..#.#####...#...###.##.....###..#.##.##.###..###.#.#.##.#.###..#.#...#..#...#.#.###...###.##..#.#..##..##.#.##.##.######..#..##.#.#.###.....##....#.#####.######..##.#.#.###.#.....##.##.......###.####....##..#.##.#.#.....##.#..#.####.#####.......##...#.#.##.##.##.#.#.#..##..#....###...#..#.##.#.#.#.###.#..####......##.####.#.##.##...#.###.#..#...#..#.#.####...#....#...###.##...####.##...####..#.#.#.#...###.##.#.##..#.####.##....##.##...###..#.#..#...#.####....##....#..###.###..#..#.#.##.#...##..#.#.###..###.#.#..####.#...##....#....######..#...##.#..##....###.#####.#.#...###..####.#.##....#.#.##...##...####....##.###.###..##.####...#.#..#.#.#..##...#......#...##.###.#...#.#.#.#.#.##..#########.#...#.###..#.......##...###.#..#.##.##.#.####..#######.##..#...##.###....########.###..#.......####.#######..###..#.##...##...##....#.###..##.#..##...###..##.#.####.##..#.....#####.#.#...#.###.##.####.#..#...#.##.#.###.#.###..####.#.#...###...#...####.##..#..##.##......##..####...#...#....######.##.##.#.#.###..###.......#..#.#.#....###.#.#......#######.#.#.##.#.#.##..####.#.#.#.##....###...##....#..#.##..##...##...#..#.#.#.#.####.#...#..#.....###....#....#..##.###.####.##.########..#..#..#..#######..#.#.#...##...####.#....#.#..##......##.#..#.###.#..##...#...#..###.#####.##.##.##..#####.#.##..###..###.#.#..###...####..#.#.####...#..#.#...#.#...####..#..#....#...#.##........#.##...####...#.#.###.#.##.#.##.#.##.....#..##.#...###..#.###....#.#.....#...#.##..#.###...#.#..###....##..###..##...####....#.##.#####.#.#..#
#..####..######.##...##.##.##...#.#.#..##..#.#..##....######.....#..##.....#..###...##...#..#...#.##...##...#...##.##.....#..#.###....##.#..##..#..####.#.####.....#..##.#..#.####..........######..##.#.#.#.###.####...#...#####..#...#.##.#.#.#...#####..#.....#.#..###.#####....#...#.#.##.###.#.##.####.##....###.....#.#..###.#.###.#..####......#...##...#..#..##.....##...#.#.#.#.##..##.##..##.#.####..##.####.#.###.#.##.#.##.###.###.#..##..#...#...#..#..#.#.####.#.....#...#..#.#####..#.#..#.#.#.#.......###...#..#...#..#.#...##...###.##....#..#.#####..###.#..#...#.###.##...###.#.###.##.#..########.###.#.......##.##.#....##..#.#....#.....#.##..#.####.##.#.#.#..##.#..##...##..#..#.##...#..#.######..##.....#.#...#..###.#.##.#.....#.###..####..#.#.##.#.##.#.##.#.#...#.####..##..##.######.#.##...#.#..##.#.##.#.......######.####.##.#..#..###.#.####..#.####.#..##....#########.#####....######.####.#....###.#..###.##.#..#####...#..#....#...#..#..##.#####..##..#.####......#.#..#...#..###.##....#...###.##...####.#####..##..#.#.##......#.#.##.#.###.#..##.#.#.###.....##.#.###....#.##.##.###.###..#.##.#...##.###.##.#...####.#..#.#...#....#..##.#..#.#..##.##.#..#####....##...##.#.##.#...##...##.###..##..#.##.#..########..#.....###...###..##.##.###....##..##...##.#.#.#.####.##...##.#.#.#.....#..#.##..##.##.#....##..###.##.##.###.###....#####..######.....#..###.###...######...#.#.......##....#.#.##.###.#..#..##.####.###...#...#.###...####.....###..#.####...##......#.#.###..##.##..##..####.##.##.##.#...##.#.####.#.#..##.###.###.########.#..###....#.#..###.####..##.#.#...##..#.####.###.#.###......##...#.#.####.#.#..#.#..####..####...##..######..#..###....##.....##..##.###.#.#..####.#.##..#...#.####..#.#.#.#.#####.#.....#..#.##....#.#.#....#..##.#....###....#....#.##...#.#.#.##..#..####....##...####....#.#...#..######..#....#.##.##..#.###..#.##.##.........#..####.#.....#....#.#.....#.#.##.#...#....####.##.#...#.#...##...#######..##.#.....##.#..######.###.###....###.##.##.##.#.......#.#..#....
.##.####.#...##.##..#.##..####..#..###.###....#.####.#####.#...##..###....#..#...#..###.#.###.#..#..#.##..#...##.######.#####.##....#.##......####..###.#####..##......######...#....#.##..#.##.##..##...##.####..####...##......###....#..##.#..##.#.##......#...##..#........###..#....#.###.#.##..#####....#..#..###...#..#..##.#.....##.##..#..#.###.###......#.#.##.####..#.#....#...#.##########.#..####.....##..#...##.#..#...#..#.###..#....#####..#.....#.##..##..##.##..###...#.#....#....####..#...#..#..##.#####.#.##..#......####.##...##.#.###..##..#..#..#.##.....#.#.#######...#.#..#..#.#.#...#..##.###.##....##.....#..##.#.####.###....####.##..##..##...##..#...##...####.#.##.#.##..##...##..###.####.####...#...###...#..#.#..#.#..######..####..##.#...#...###....#.###..###.###...##..##.#...###...##..#..#....##.##.##.##....#..##..#########..##..#...##...####.##.#......##..##.##.###...#.#.##.#.#.#.#..#....#....#..##.#..#.#.#...........##..#..#.....##......#.###....#..#..###.####.##.#..#.#.....#.##.##.#.....#.....#..#........###....##.#.##.#..##..#.#..#####...####.#...#.#.###....####...#####..#.#..#####......#..#.......##.####.#..#...##..####.##......#...#...#..#..#.#.###.#...#...###..#....##....##.#..####.##..#..####...#..#######....#..##..#...####.....#.#.###.....#######...#..###......#.#.#####.#.##.#..#....#..#######.#..#.#.#....#####..##...#..##.#...#.#.#..##...#####..##.#..####.#.#.#.....#.##.#.##.##..#.###...####.#..##.##.##.##.###..#.#..#.####.##....#.###.##..#####..##...#.#.#####..#.....##..#..###...#..#........##.##.##.....#.###..##..####.#.#.#.##..##.###....####.#..##..#.#..#.####..#...##...##..##.##.##.#.######.#.#..##.######.####.#.##......####.##.##...#..##.#..#.#.#.....###..#.#.#.####..##...##.####.###...#..##.#.#.....###.###....#####..#.#...####..#..##.#...##.#....##..#.#..##.#..#..#.##...#.##.#####..#.##....#....#.#.#..#..####.##...#####...##.#.##...#..#...#.##.#.##.#....######......##...##.#####..##.###.#..##..##.#.######..##...###.#..#.#.#.##.#...##.#..#...#.#.#.
......##.###.###.###...#.#.#..###.##..##..###...#.###...####.#..##.##.####....##..#.....#.#.###..#...##.##..##..#.#....##########.....##..###..######.#.#....#.###.##.#.#####.......#.##......#.....##..#.#.....#..##.##..####..#..##.#..##.##..####...##.##.##.##.###.######.##..#..###..#.#.##.#.####.##.#####.#.....####..##.##.##.######.###.#..###.#...##..#.##.#.##..#..##....####.#..#.###...#.#....##..#.#.....#####..###..###.#...#.####...###.##.#..####..##...#.##.##.##.#.#.#.#.#######.#.#.###.###.#.#...#.#####.#..###.####.#.##....#.......#...#...##.###.....#.####...###...#..#.###.###.#.##..#####.##....#.######.##.###..##.#.##.#.#.##..#####.#..#####.#..#####..##..##.#..#.##....####.#......###...#..##..#.##.#.#.....#..#####...#.#.#.##...###..##.###..##..####.#.#####.#.#.#..##.#####..###.##.#.#.#..#....#.##..##..##.######..####.###..#.#..##.####..###.#.##......###.##.#..##..#...##.#..###.#.##.#...#.#.....###......##..####.##...#..###..#.....####.###..###..#......#.###...####..#.#####...#...#.#..###.#......##.##.#...#..#.#.###.#.#..#.###..#.#.#.####.#####..##....##..#.#..#..####.##.##.#####.#.....#.#######........#.#####.#####...####.#..##...#...#.##.##.....##....###.#.#..###....##..###........#..#.#.#..#.#.##....######..##.###....#...##.##.##..#..###.#####...#..#.#.#....####..#.##..#..##.#..#...#..#..##..##########.#.###.#.####.#.##.###..#.##..##..#.##.###..##....#.###.#######....##.#..####.#...#.#..#..###...###.#..#.##...#...######.#..#.#....####.##....#......##...#..##..####.#.....###..#######.#.###.....####..#..##..######.##.##.#.##..##.######.###....##.######.#.#.##..###...#.#..#..##..#.#..##....#.#..##.#.#..###.#.##..#....#..###...##..#.##...##..#......#..#...#.#..#.....###.###.....#.#.....#....#...#.#.#####..#.#.#..#..###..###..#.#.########....#.##.#...#.#.###.#..##......##...##.#.....#..#..###..#.#.###.#.##.#.###..#..###.#####.#...#..#..##.#..####.##.#...######.##...#.##..###...#..###.....#.##.#.....##.###..##.#..#.#.#..###.#.##....#....#..####..##.....##...#.#....#..
#.##.#####...##..#.#.##..#.##.#######.###.....#.###..##.#..#.#.#.##...####.#..##.###.#..##.#.#..##...#####..##..##..######.#...#.#.#..#.#.#.#..###..###..#.#..#.#..##.###..##.########.##..###..##.###.#.######.#...###.##...#####.#.##..#.##..#.#.#..##...##.#.....#..##..#########...#.#.#..###.#.#..#.#.#.##.#...####.##...#......#..#.#..##.#.##...#.#####.#####...#...##...##....###.#...#.###...###.###.##.##.#..#.#.###.##.###.####.#.#.#......#..###.#..#....###..#.##.#.###...##..###.######.###.####....#.#.#...#..#.....#.###..#...######.##.##.......##.##..#.#..####.....#..#.#.#######..#.#..###.#.#.#.##..#.#..#...#........####.#.###.#####.##.......###.##..#.##.####..#....#.##.#..#.###########..###.##.#.####...#.##..##.##.....##..#....#..##.###.#....#....##########....#..#..###.#.##.##.#.####.##.....###.#.####........#.....##..#...##.....#....###...#..#.##.....#.##......#....##..##.#.#..#.........###.#.....###.#..#.#.###..#.#....#.##.###...##.##.#...#.###...##.#.#.....##.....###.#####..#.#.#.#....#.####.##.##.##.###.###.###.#...#...#.#.#...#.########..###..###.#..###...#..#.##.#..##..#####...#.#.....#####....#.###.#......###..##.....#.#####.#.#.#..##..#..###....##....###.......#.....#.#...##..##.####.#...#####..###......###..##.#.#...###.#####.##.#.##.######.##.#.##.#.#..#...####.#...####.....##.#...#..##.###.#.#....#...########.###.##.#.##..########..##...####..###.#......#.#..##.#.#.#.#.....##..........##.#...##.##.##..##.####.##.#.####...#..#.#.#...####.###.#.##...#..#.##..#..#.##...##..#...#####...#..###....#.#..##.##..#.####.#.####...#.#..#.....###.##..##.#####..#.##.###########...#.##.....#...###..##..#..##.#..#.....#.#..####.##.#.###.###..###.#####...#.#...#..#...#.....#...##.#..##..##...#..#.#.######.##..######.###.####.###.##..####.##.#.###....##...#.#....###.#.#.##.......##.#.#####.#.#...#...##.###.####...##...#.####.#.#.#.#.##..###..###.###..###.#.###...#.#.##..#....##.#....#.....##..###..###.##.......###..######.....#...####.#....###...#.#.#####....##.....##..#.#..#
..#..........#..##.###..#.###....#..##..#.#..##.#...#...#.#.#.###.#..#...#..###.##.###...#..#.......##.###....###..#.#.###..#.....##.####.#..#..#...##...##..#.##.##...#..###.####.##......#......#.#.#.##.#.#..##.####.###...##..##.......#..#..#.###.##...#...#..#..##..##.#..####.##...#.#.######...#......##.#.#.##.#.....###########....##..#.##.#.####...##.###....##.##..###.##.#....####....#..#..###..###.####..#.#####.#..##.##.#.#....#.#..###.#.#.##..#..#.##.##...#.#...##.##...###......###.#####...###.#....#........##.#..#..#.#.#.#.#..###...##..###..####..###.##..##....###.###.#...#..#.#######.##...##......#.####.#.##.##..###.#....#......######..#.#.#..###....#.#.#.#..####...#.#.##.#..######....#..#.####...###.#.#...##.####.......#.#.#####.##....##.###.#####...#.#..#.#..##.##...##...##.##.#.#..#.##.#..###.##.#.##....##..#........#.#.#####.#.#.#.###..####.#..#..#.###.##.#...#...####..###.#.####....#.###.##..#####..#######...#.###...#.#..#.##.#.###..#.#...#.##.##.##..###.#...##....#.#.#...###...#..##.###..#.####....######.##...###.#.#.#.###.##....#....##.######.#.#.###.#..#....###.##.#...#.##..###.#..####....##...##.##....#..##....#..###.#.##.#....#########.#..#..###.#.#..##...#.####...#.....#.#.#.....#..#..##.#.##...##..#.#..#..##.##...#.#.#.#..##....#.###.######.#####.#..#.#..#.#....####.#.#####...#....###..##..#..##.#...##..###.#..#.#.#..#.#.#.##..##.##..####.##.##..##.#.....###.####...#.#.####.#.....#..#..######.##.#####...#.##.##.......###..#.#.#....##.##..#..#.#.#.##.....######.#.#...##.#.#.#...#.###.#.###.#.......##.#.#.#..#..##.##.#######.#.##..##..#...###.#.###....##.#.###.####.###......#.#..#....###..#.....#....##..####.#.#...#....##...#..#...#....###..#...###...#..#..#...#.#.....#...##...#.#.#...##....###.##......#..###.##..##.#....####.#.######.#####.#....#.##.#.##.##.#....#..#..####.#.######.....#...###.#..#..#.#.###..#####....#..##.##..#...#.....#..#..#..##.#####.###......######..#...##.#.....###.#.#.###.##..#.#..##..###...###.....#.#.##.#...#......##.#..###.
.#...#.##.#..#...#.#...#.####.#.##...#.#.#...######.#....##...#.......#.###...#..####..##.#...####.#####.#.#....#.###.####..####.###..##.....#..#####..###.##.#.#.#...#.....##..######.#.#..##.#.###..##.#.#..#.###..##..#..#..##.##.....#.#.##.#..##.##..###..##.#..#####.#...#...#.#.#.#.#.#..####..####.......##...###..###.#..#.#...##.##.#...#.##..#.#...##...#.#..#.#.##..##.##...#.##.#.###...###..#.....#.##.#..#####.#####....######.##....#.#####.##.#######.#.#####.###.....#.#...#..#.##....##.###.#.###.....#.######.##...##...###.####.#...#.#..##.####.###..#.#..###.#.#...#..####...#.##......###.#.##..###..##.#....##.#..##.###...#.#...#.#..#..#..######.###.......###.#..#.#.#.#.....##...#...#..#.#...##.##.#.#...#..#.##.#.#...#.#..##.##..###.####.#.###.#.#.#.##.##.####.#.###.###.#.#.##.###.##...#..#...###..#..###.##.#..##....########.#.#.#..#..##.###.#...#.##..#.#.#.##.#.##.#.#.####.#.###.##.#..#.#...#..###..###.####..##...##.#.#....#..#..#...###.#...##.#.#..#..##.#.#..#.##.#.####.##.#...#####..#...###.#.####...##.....#.#...##.#....##########.##.#..#...##.######.####...#...##.##.##.#..#.######.#####.###.#..##.#.#..#.....#.###..#..###..#..#..#.###..#..#...##...##..##.##..#.#.###....##..##..#.##..####...##...#.####....#.############....##.#..#.###....######.#.#.......##..#...##.##.#.##...##..#..#.#.##....##.##...##.######.#....#...##.####...##..#.....#.#.##.....##..###.#####.#.#..###..###....###...#..##......###..#..#..#..###...#.#.###.#...##...###.......#..#...###..#..#...###..#.#...#.##..#..###..#.##..##..#.##.####..#..#.###.#.###....###.#.###.#..###.##.##.#.#.#.#...####..##...##...#...#..#.#..#...#.#.#..#.#.#..#...#.###..#..#.####.#.##.###.#.###..###.###...#.#.#####.####.###.##.#.###.##..##..##..###..####.#...#..#.##..#...######...#.####.##.#..#.###..##.#...##.##.#.....#.#.##..#.#......#.##..####.#.#.##......##.#..##.##....##.##...####.#..#....#.#..#.#...#.#.#..#..#..##..##.#####..##..##.#.#..##.####.##.##..####.#####.##.....##..#######.#....##..##..#...#.......##.##.#..##...
#####.#.##.###.#.#####...##.##...##.###.###########..####..###.##....###....###..##..###.###...#..#..#####..#.#..#...##.#.#......###....##.#.####....#.....#.##.##.##...###...#.##.##..#..#.#....#..###..#..###..####.###.###..###.....#.#.##.#.##..##..#.#...#...###..####.###.##.##.#.#..#......#.......#..##.###.#.#.#..#....###...##.#.##.#.###.#.#.###...#.#.....####.#.#.....###...##...#.##..#......#.#..##...##.#....##...#####.#..#.####...#######.....##..##...#..###.#..####.....######.#..#.##.######..##..####.#.#....#...#....#..###..#.##....#.###.#.#####.##..#.#.....#...###.#...###.###....##...##....#.....#.###..##..#.#.#####...#....#####.###..###..#.....#..#.#.##...#.###..#..#..#.###.##.#..#..###.##.#...#.#...#.####.#..##..##...#...##..######..#....#.##.##...#..####.#..#..#.###....#.###...#..###.#.#.#..#...###..#.##.###..###.#.#..#####.##...#.#.#..##.#..###..#..##.#..#.###.##.##.##.##.#.#.##.##.#.#..##..#.###..#.##.##..#...#...#.#####.##..#.##.#.#.###..##.##..##.####...###..#.###..###...#.....#.#...##...#.###.#....##....####..#####.#....#####.##..##.##..#.####...##..###.#.....###..#.##.#....###.##..#.....###..######....#####....#...#..#.#...##......##...#.....##..##.#.#####...#...#..#...##...##..####...#..##..###.#..##.......#.####.#..###....##.#..#.##.##....####.##..#.#....#....##.......#####..####.##..##..##.#.#..#..#..###..#..##..##..#.##.....########..#.##..##..##..###.###.#...##.#...###....##.##...#.#####..#....#.#.....##....#####.....##..#####...#..##.###...#.####...#.##...########.....##...#.###......#.###.###.####.....##.###.#.##.###..###..#.#.##..#.#.##.###...#.#.#####...#......##.###.#..#.#.......#.#..#..###.#...##.#...#.###.#..##..##..###.###..#.#.##.#..#...#.###.##.###......#.#......###...#.####..#....#....#####.#.....#....######..#.....#.....#.######.####..##..##....#.#..###..##.#.##.#..#####.#...##.##...#....##..##.########.#..####.##....##.###.##.#.#.###.....#..##..####.....##.##...#.###...##.#.......######.##.#..#..##...######...#.###...##..#..#..#..###.##
##.#.##.###......#######.#.#####..#....#.######..#.###.#####.##.....##..#.###...#####..##......####.##........##.#....###.....##..###.#..####.##.#####.#......#....###..#.#..##.###...#.....#.##..#........###.##.#####...#.##.#.#...#.#..##########..###.#.#######.#.#.##..##.##......#.......#.###..###....###...#...###...#.....#...##...##.###.#....#......#....##.#.#.##....###...#...#..###..####.###....##...##.###.##........#....###.#.#...#.#.##...#.###..#.#....#.#.....##..##....##.##......##..#..#..#...##.#####..##.#.###..#.##.#....#.##########.######..#..##.##.##.####...##.#..#.##...####....#..#.#.##...#.##...#.#.#.##.###.#.#..##..#.#..#.######...#.#.#.#..#.#####.....######.#.####..#..###.#.##.....#..#.#..###...###....#.#..#.##..#.#...#..##.###..#.....#.##..#.##...##...##.###..##.#..#..###..###.#..##..#.#...#.#.#.#.#.#.##.###...#....##.####.######..#.#.#..#.##.....####..#..##.#..########.#.##..#.#.##.##...###..#..######.#..#...#.....#...#....##.#.#..####....###.....#....#.#....##.####..###....#.##.#.##...#.###.#...#...#..###..#....##..##.#..#.##..#..#.....#....#...###..#.#.#.###..##.###.#......##.#..####.##.##.#..#.....#...#####..#.#.##.#.#.#..##.....##.....#########.##...##.#.##.#....#.#.#####.##.####.#.#.#.##..###.......#..#.#..#....######..#...#.#.#..#.#.##..#.####....#..###.#...#..#####...#..####...##.#...#..##.#.#..###..#.###.....#.###.######........#...#.....#...###....###.##.##.###.###....#..#..######.........##.#..###.#...#..#..###...######..####.#.##.#...#.#.##..#..#...######.##..##...#...##.#.#..#.....###.#.#..########.......#....#####..##..#########.##.#...#......#.####..#..#.###..####...##.#..#####....##.#.#..###.#..##...##...##.##..###.#.#.##..#...##.#.####.#....##..##.##.#.#.#....##..##..##.....##..###.########.##.##.##...##...##.#..#####..#.####..#...##..##.#####.##..##..#.#.#....##.#..#...####..#.##.#.###..#..#....#.....#...#......####.#...#....##.###..#..##...##.######.#..#...###.#.#.###...#####.##.##.#.......###..##.#.##.#....#..#...#.####.##.##..##.#.#
###......##..#.#..#.#.#..#.#..###.#.#####..##.###.#####.#.#.##.....##..##.#.....###.##..###....##....#.#.##.#.#.#.#.....###.##..###.####.##.#.#.#..###.#..#.#.#.###....##..#####.##..#.###.####..#####.##...##.#.##.##.#.#..##.#...#.#.###....##..#.#..#.###..###.#.##.....#...##...#.#.######.###..#.#....#...#..#.###..#.#...####.#.#..#.......#.#.##....##...#########.#..####..#.....#..###.###.##.##.#..#.##.#...###.#..#.#.############..##.#....#...#.#...#..#.#######..##..#..#.##.#..###..##..#.###...###..###..#..#...#.####.##.###.##....####.##...#..#.###..###.#..#######.....#......#...##.#..##...###..####.##...###.##..#.##.###...#..#..##.#.#.....####..#.##.#.##.###.#.###...........#.###.#.......##..#.#.####...#.##.#.#.####..#..####.#..#..##.#..####...###...##..#..#..#.#...#.....#.#.#.......#..##.#.##.#.....#.#.##.....###...#.#..###...##...#.#..#....#.#...#.#.#......#..#.#.#...#..#.#.#..#.####.#..#.##.##.####.#......###...##.......########..##.....##.#.#####.###........##..##.#..##.#.##......#.##.#..#.#..#..##...#...##.#....#....#...##....##.##.#........#..#.#.##..####.#.##........###..##.##.#...#..##..##...####.##..######..#...#.##...##...##...#.##.#.##..#..##..#..#.#####......###.#.######.#.####......#.###.#####..#...###.#..##..#..#....###.#.#..#.####....##....#..##########....#.###....#.#...###.###......#....#######...#...###......##..###.##..#.#..#.#....#..#####.....#.#......#...#.#..#.#.###.#.#######.....##...#.###....#.#...##..####..#..##..##......##....#...######..###..#..##.#..#.#..###.....##..###.##.##.##.#......#.##.#..#.......###.##.#####.#.#.#..###...###..#....#.#.##.#.#.....#.#.#...###..#####.##...#####...#..###.####.....#..##..#.##.#.#.#####.#...##..##...#.##.###..#####..##.....#....#..##.##.#.###.....#..##.##.#.....#....#...###.#.#....##..#.#.#.##.##.#.#.#.####.###.##..##...###..###.##..#..###..##..#...##..###.#.#.#....#..#..#.##...##.##.##.##.#..#.###..#.##...##....##.#....#.##..##....###.#...#.#.#.#####.##.####..#..#.##.#...#.#..##.#.###.#....####....##.##...#
#...##..##..#...#.#..##.###.###..##..##.#.#.###.###.###..#.####.##.####..####...##..##.#...#.##....#.#.#..#.#.#..##.......#....#.#.#...#.#####..#....###.....#.#....###...##..###.#.#.#....#....##.#...#....##....##..#.#.##.##...##.##..###.#.##.##.####.##...#.....#..##.#..##.#.#.#.##.###..###.....#.....####...###.#.#.###.....#....###..##..##.#.#.#.##..#...#..##..##.##..##.#.###.#..#...#######.#.##.#...##.##..#..#..#....###....#..##.#..###..###.#.####...##.#..##.#.#.###..#.#.####.#..##............####...#.###..########.##.##..#..###.##..###...#....#.##.#.#..#.....###...#....#..#.#........#.######..##.#.#...##..#.###..#..#.#.#...#.###..#....##..####.#.###...#.#.#####..#.#.#.##..#.#.#...###..##.....#.....###.##.#...##..#.###.####.##.###.#..##.#..###......##.###.###...#..##.#.#.##.#....#.#.#...#..#....#####.####.#...#.##.#..#...####..#..##..###...........######.#.#######....#..#.#.#############.##.#..#....#..#...###.....#.....#.#.#...###.###.#.###..#####.##.####.#.#....##.....#.#...######.#.....#..#.#.####.#.#...###.#..###..#.####.#.##.#.#.#.#.#.####.....#.##.#.#..##...##.#...####.#.###..##.#####.....#.#.#####.##.##.##.####...####.#..##....#..##..#..#.##.....#.#.#######..##....#.....#.#..##.#.####.....#......#.#..#.####...##....####.#..##.#####..##.#.#######...##.....#.#..#...###...##..#.###.#..#...###...###..#..##..##..#####.#...##.#.##.#...######..#.##..##..##.#.#..#.....#....##..##.#..#.#.##.#.##...#...##..#....#.###..##..#....##..####...###.#.##.######.#.#.##....#..###..####..##.##.##.#..#..####.######...#...#.#..#.#..##.##.#.####...##.#..#.##.#..#.#.##.#.#....#....#.......#...#.#.###.......#..#######.##.#.######...#####..#.##..#.#.....#.#.#..#..#.######.#..#######.#..#.###.#...###...#.#....#...###..#####.##.####.##.######..#...#.#........###....##..#.##.##.........##.#.#..#...#........##.##.#.#####...#..##....#.#.#.#..##.....#########.####.#.####..###....####.#...###..#.#...#...###...####.#.####.###.....###.#..##....#.#.####.##..#.#...#.#....##.#.#....#..#.#..#.#.....
#...##...#..####.....######.#.#..#.....#...##..###.#.#..#...#.####..##.#.##...#.##...###.#..#.#.##....#######...###....#.####.##.#..#.####.######.####..#.##...#......#...#.#.###.###..##.#.#.###.##.####....#.....#..######..#..#....####..##.##.##..####.....#..#....###....###..###..##.#..#.#.##...#....##.....#.#..#...#..###.....#.......#..##..#..#.#..###.#..#....###.##...##..#.###.#..##..##.##..##.#....#...#...##.###.##.#..#....##.#..####.#.####.#..###.##.##.##.#.#..##.#...####.##..####.#.##.#..###..##..####.##.#.#...#...#...##.#.##..####..#####.#.#.###.##..#.#.###.##..###..#..#.#.#.....#.#......#.##....#..#...#.#..###.#####.###..#......#.#.##.#....#.#.#..#...##..#.########..###.#.#...#####......#####...#.#.#.#..#...#.#..#.#...###..#.####...###.##.#.##.##..#.##..#..##........##.......#.#...#.########....#...#.#.#####.#.#.##....#########....#.......#.....#####.###.###.###.#..###...#.##.#.##.#..#..#.....#.....##.#....#.###.#.#.#......##.#.........####..#.###.###.##.#####.#.#..##...#..#####..#....####......##...#.##..##.....###.##.#....#..#.###...#..#.##.....##.###.#.#......##...##.#..#.###.##..###...####..#.##.#.##.##.#......##...##.#.....#.####....####....#..#.##....#.#...#..#..###.#.#..#.#.#..#.#...##..#.###..###..#.###...##.#.#...#...#...#..#.#.....#...##.......###..###.###.#.#####.#.....##.###..###..###..#.#.#####....##...###....#.#.#...####.##..#....###...#.#.#..##......#.##.#.###..#....#.#....#.##..#..#...##.....##.##.#..####....###....#..#.###..#####.##.#........##.....##.#.#.######..#....######.......##...#.#...##..#..###.##...###.#.....#..##...##.##...###.#...#.#....##.###...#..#.##......#.#.#.#.#.#.##.#######.##.###...###.#.###....#.###.#.###.##.##..#....#.#.###..#..#..#.#...#..##..#.##..######.####...###....#..#.##...#######..##..#..##..#.##.#..#.#.#..#...##...#.###.....#.##....##.###..##.##.#.#..#.#..#.#.#..#....#..#.##..##.##....##.#.##.##...####.######...###..#..#.##...#.#..#.#...#.#..##.#######....#.##....##..##....##.####.#.#....##....##.#.###..####..##..
.#....####.#.##.##.#..#####.###.#.#...#.#.###...#....#####.##.#.##.##..###..#.##.#..##...###.##....#..##....###.##......#.#....#.##.###..###...#.#......#..##.#.#..##.#.#..#....##.#####.......####.#...#....####...#..#...###....#..##.#.....######.........###..#####..#.####.##.##.....#.......#.#.##.....#...##.#####.##..#.#.###.#...##...#..##..#.#...##.#.##.#...#.....########.#..###.#.###.##.#######..#...#......######.###..#.###.#.#.#.##.#########...###.##.#.##...##.##..#....#.##.##...#..#...#.#..##....##...#.###..###..###.#.##...###.#..###..#######.#......##...#.#...###.....##..##..#.#..#...#......#...###...#..##.....###....#.#.#.#####.##..#..#.###..##..##..#.#..##..##..#.#.#..######.#..###.....#####.#####..##..##...#.###..####.#####.#.##..##..#....##.#.#.#........#.##...#..##....#.#...#.#.#.....#...##.#...#..#....#.#.##.##.#.#........#..######..#..##.##...##.##..##....#.#.###.##...##..#.#.##.##..#.#..##.#..####.#####..#.##...#.###.##.#........##.#....##...#.##..#...#.##.##.#.##.##.####.##.####.##.#.##.#####..#..##.##..#.#.##......#....#.##..#.#.###.#..#...###..#.###.##..#..#...#.##..#...#.....##.######..#.###...##.....###..##.##....#####....####...#...##########.....#...####..#....#....##.#.#.####...##..###..#.##..#.....#.#.#......#.##...#.......###########.#####..#.##...##....#..#..#...##..##.##.##....#...#....#.##...#...#.#.#.##.###.######....####..#..##.#..##.#..#.#####....##..#..#..##.#......###...#..##..#####..##.##...#..##...#.##.##.###.###..###....##.##.....####.####.........##..#..###.##..##..#####.######.#.###.#...#....#.#..##.#..###.......##..######..#.##.####..##.#....#..##.##.#...#...#.#.##.#..#.#.#.##.#....#.#...##....#.####..#####.###.#.##.#....#.#..#.#...#..#..#..#.##.##.##.#.#.......#.####.#..#.#..#...###..#..##.#...#..###..###..##..#.##...#..####.#.#.#.....#...##.#...##..#.#...###...#.#.##.#.###...#######..##...#.....#.#..##....#..##...#..#..#####.###.#.######...######.#..#..#..##....#.#.#....#.##..##..###.#####.#.#.....#.##.##.###.#.##..#.##...##.#.#
.###.....#####.#.#..####....###..####....#..##..#..####.#..#.#####..#.##..##...##.###.##.#.#.#.##..##.###.#...##......#..#.#..##..###.##.#...#.#.#.##.###..#...#.###.##.#.##.#.###.....###..#..##...###......##.##.###.####.......##......##.##.#####.#.#.#.....##....####..###.####...##.#.#.###...#####....#....######.#.#.###..##..##.##.##.#.#.#.###.####.#...#.#####..##.##......#...##.....#.####....##.....########.....#####.##.##.###....#.#..#.#.##...####.####.#...#...#..#.#.####.######....#.#.....####.#.#.###.#.#..###..#...##.##.####.####.##..#.#.#......#.#..###.###########..##.##.#...#.####..#..#.#.....##.##..##.#....##..#.###.#.######..#.###.####.###.##......#.....####.###.##..#.#.#.....#.....###..#...######....#.#.##..##...####..#.####...#.#.####.#.####.##...###..#....###....#..#.##...#...###..#..##...#...##.#####.##.##.#.#.##..##.####.#.##.#.#####..###.#####..##.#.###.###......##.#.....###..#####...#..#..##..###.#.###.#...#.###...#..#..#..#.###...#####..#.#...##...##.###.###.#....#...#.#...#...##...##.####.##.#.##.###....##...####..#..###.#..#.#.###.#.#####...#.#.#.###.###.###..#..#...#...##....#.#.#..#.#...#..##..#.#..####..####..#...##...#..#.#.#..#.####.....##.###.....###.#.#.#.##...#....#.#....###.#.##.##.#.##.#..######.##..##...#......#..#.#..#.##...######...#..#..##......###.##.############.#.###.##....##..##.....###.#.#.......#.###.###.#.##.#.#.#...#.#...#....###........#..#...#..#####...#..#.#...#...####..###...#.#.#######.....#.#.##...#.#.....##.#..###..###..#.##..#.###.#.####.#.##..##..#.######..###.#######.##..##..##.##.#.##.##....##....##.##.####.....######.##...##...##.#.#...###....#...##..###..#####.##......#.....#...#.#.#####.#.#....###.#..#...#.##......#.#.#.##.######...####...##..#......########..##..#....#..#.#...######.####...####.#.#.##...###..#.#.#..##...##.##.#.....#...##.##..#.#.#...#.#.#....#######..###.#..######.###.##.#.#.#..#.##..#.#.#.#...##...#.######.####..#.##....#....##.##..#.....##....##...#..##.##.####....#..#..#.###..###.#..##..##.#.
###.#.####...#...##.#..###.#..###.###.##.###.##.##.###..######.##..###..#..###...#..#.#.#.##.#....#..###..###.....#..#.##.####..##.......##.#.#..#.#.####...##....#######.#.....##.....##...###.####.##.######.#.#.#....###..##.....##.#.##..#.###..########..#..#.......##.#.###..##...#...###.....###.#.#####.##.##....#.####....#......####.#..#.####....##.######..#####.#.###..#.#####....##..#.##.##..###.###.###.......#...##.#..####.#.#.#...##.####.##.#..##......##.###..##.##.###..#.###.###..#.##.#####.#####.#..##.##...#######.#.##.#....####.###.#.####.#.#...#..###..#.#...##.......#...#####..#.#.#.#...#.#.#...#..##.#.#...#..#.....####.##...#..#.#..#...###.#....##....#.#.##..#####.#..##....##.#.##.##.##.#.##......########.#.#.##..####.....#.#....##...##.###.......#..#...#.....#.#..#...##.#...##.#.##....#..#.#.....###..#.###.#.##.#..##.#..##.#.##.###..#...##......#...##..#.#..##....#..###.#.##.#.###.##..#.#.#....#####.....##.##.##.#.###.####.##..#.#...#.#.....#.###.##..##..####.#.#....#...#.##.##..####....#.....#.......#.####..##...##...#.....#..#...#.#.###..#.##.#..##.#..#.#.#.####.#..#..#.###..##..#..##...##.##.#..###.####.#..######..#..#.#....#..#.#..#..#.#..#..###..#.#..##.#.#.....#.##...##.#####...#.##.#..#.####.....#..#...#......#..##.###.####...#.#.###...###.#.##.#.#.#.##.#.####.....#.#....#.###..###.##..#.##.#.##.#####.#.#......#..#.##..#.###..#.....#####.#.###..#.####.#.#.#..#.####.####....#.#.#...####.##..###............#.....#.##.##.#.#.#####.#..#.#.###..##.#.##.###.##..#.##.#....#......######....#####.##..###....##.#..#.#...##.#.....###..##..#......#.#.#.###.###.#.#..###.####..##.####.#.#.#.....###...#.#.......##.##.#....##...####.#..#....##.##.#..#..####.##.....###.##.#.#..##.####.#.##..#..#...######.#...##..#.#..#.#.#.#.###.#...####...#.#.#.#####....#.##.##.#....#...#.....#.#.....######.#.#.###..#####.#..#...#.#.#...#..#..##..#.#.##.#.#.###.#.#.####...###..##.###.######.#..#.....####.#######.###....##..#....##..#.#...#..#..#.#.#....###.##.##..##....#...#.####.#.
..##..####.#...#..###....####.##..##.#....#...##.###..#.###.####.###..#.#....#.##.#.#.#.....###..#......###...#.#..##..##..#.###.#..#...##..###.#..##.#...##..#...#.#.#.#..####.###.#.#.#.#####.#..##.....###..#.##...#.#.....#.#..#..######...##...##.....#####..#.#.#.####.#..##..###.#.#..##.##.#.#..#.######....#.......#...##.#.#...#..#.#.###.##...###.####.#.####.##..#......#....###.#..#.#..#..##....##.....#.#..#..#.#.#.#.#.....#.#.#.##...#.#####...##...###..#.#.###..#..#......#.##.#..#.....#.#..#...#.####.####.#######..#....#....#.##.#.####...#....###.##.######...##.#..#.#..###.##..##...#.##.......###.........#.##..#.###.###...#.####..#....####.#..#.####.#..##.#..##.###.#..#.#####........#.####..#.#.#.#.#.#.###...#....#.####.#.#####.#.#.##.#....####..##.#.#.....#.#.###....######....#####.####.#..###.###..###.#..####..#..##..##.#.#.#.#.#.#....#######.#....#.#####.##.##..##...###...###.....##..##.#.........#.#.##...##.###...#####.#.###.#..#.#####.####...##.#.#..###.#....###..#.#.####.#.##...###.#.#.......#.#.#.#.#..#....#...#.##...#.....#..#.#.#..####.#.#..#####..##.###.#..#.#.#.##.##.#.##.####.##.#...##.##.#...#..##...#.###...#....###...#..##.#.##.#.####.###.#.#.##...##.....##...###....#.####.#.#..###.######..#.##....###..#..#.#..##...#.##..##.###....###.#...#.#.##.....##.#.###..#...#..###.###.#.##.#.#.#.#.#.....#....##..######.#...##...##..#...#####...###......##...##....#.#...#..##..#.##..##..####.#######...##.#..#..#.#.##.#.#.#....###.##.##..#....#####...#..####.###.###..#...#.#.##.#..##.#####.##.#.###.#.#.#.##.........#.#.....#..##.#....#.####....####..#####..#.#..#####.#.#.###...###.##..###..#......####..#.##.....##..#..######.#..#..##...##...#.##.####....##.....#.##.##..####.....#.#####...#.....##....###...#####....#....#.#......##..#..####..#.#...#....#####..######....#..#.........######..##.##.#.##.##.##....##.##.#.#..###.#.##..#...#####.#.....##.....#.....###..#.#.#.#...#...#...##.#.#.....#.####.##..##..##.####..#....#.##.######..#.###.#.#....###.##.....#.#####.
..#..#...##.##...#.##.##.##.#..###.####.#.###.#.....##...#.#.....#..#.##.#.#...#..#...#...#.####..#.....#.....##.##.#.##..#..########.#......##.......#######.#...####.#.#.#######.#...#.#.......#..#...#.##..###.#....###.....#....#.......#.##.###.#.#....#.#.#..#.##......########.######.###..####...###.....####...####.#....#.#...#...#.....#..#.##.#.#..#.......##..#...##..#.###.....#.##.#.#.###.#..#..#.###..###....##.#..##.#####.###.#..#.....##..#.###..###.#####..#..####.##.#.#..#####..##..#..#######...##....#....##.##..#.#.###.......#..#...##..#.#..#####...#.#.#.#.#....###...#....#....##.####.##.#.##.....#..#....#.###.#.#.#....#..##.####.##.#...#..#..#.##..#..##...#....#####.#####..#.#.#....#.#.####.....#.....#..#...##..#.#...#...#.#..##..###..##.#..#..##...#.##..#..#...#######.##...##.#.####.##..#....###.#..#......#...###.....###...###.#.#..##...#.#..##.##.....#.#...#.#####.....####.##.#####.##..#.##..###..#..####.##....#########..#.##....###.#..####.#....##...#.##...########.###.##.###...##.##...#..#.....#....#...#.#...##.#.##.##.##.###...######...##.....##..#########....####.#.###...###..###..###.#.########.######.#....###.#.##..####.#.####..####.#####.##..#.##..##.#######.##..##.#.#######.##......#....#.########.##.#..##.####...#.#.#.##..###..#.#..######.####..#.####...##..##.##.#.###.#.##.####.#.##..##.##..#..######.###..#.#####.###.#.###.##.#.##...##..#.#.##...##.##..####.#.#...#.##...##.......#...........###.#..##.#####.##.##.##.#..#####.##..#..##.#.#......##..#.#..###...###.#..#.##.##.#..#.##.#..#.#......#.....##....#..#.##..##.#.#.##.......#....###.#..###...#.#...#..##.#....#..###..#.##.#.####....#.##.##.###..##.###....#.###...#.##......#...###..#######..###.#...###.##...#.####....#.....#.#.#...#.#.##.#...#.......#.###...#..#..#.##...###....#...###.....#....######.###...#..#.##......#.###.###..##....###.###...#######.#.#####...#.##.###.#..#..##...#.#.##..###..###.##..##..##.....##.#.####.####...#...#.#...##..#...#.#...##.#..####.#..####....#......##...##...#.#
####...######...####.###....##.##.###.###.#.###.#..##.#..#.#.##.##...#.#...####.##.##...#.#.#..#......#...#.###.##.#...#.##.#.#########.##.#.#.#.#...###.##.#...####...#..#.....##..#...###.##.##.#.##..#.#...##..###.####.#...####.#.####..#.###..####..###...##.#..#..##..#.##.#.##.##.#.#####.##.#.....#.#..#########..###..###..#...##.###....###.#...#.....##.#...###.#.#.###..#.#####.###.#.....#####.###.##.##.#.##.#..##..#.##.#.###.###.##.##...###...####...#.#.#..#...#..#.#.##..#.#......###......########.#..#.#....#.#.#.##..#.#.#..##.######..#......##.#######..#.#######...#....#.....###..#####.##........##....#..#..#.....#.#..#####.###....#.####.#..#.#.#..#####.###.####...##..#..####.#....#..#####....#.###.##.#.#.#.#.#.#.#....###.#...##########.###...##.##...###...##.###...##.#..#.##....#.#..###.##.....#.##..##.#.#...#.####.#....#.##...#.#.#.#..##....######.....##########..#....##..##...###...#..#..##.##.#.....#..#.#######.##..##.###.#.#######.##.#...###.#....#..#.#...####..###.#..#.###.........#.##.#..##.#..#......#.##.#...##..####..##.#.#.........#####.#..#########.#####.#...##.....#...#..##..##..##.#.#.##....#.#..#.....###.#.##..###.#...#.#..####.######..##.#..#####.#.###.###....##.#.#.#....###...#..###..#.#.##.#..#.#.###..#..#.##.......#####..#.#.......##.##.###.#....####.#.#..#....#.##...#.###.#.#.#.#.#..#....#......##..###.##.##.#..##.##.....##...#..#..#.#..##......#.##########.##.###....##.##..##.#.###...##.##.#..#.###.###.#.#...#.#.#.##.#...#.###.##......########..##..##..#####..#..#....#..#.#..##.###...#........#..###..#......##.##...##....###..###.##..###.##.#...#...##.#.#.##.##....#.#.#.###.#...###.#........###.##.#...#.##.##..###..###.###...#..##..#.##.#.##.#####.#..###..#.....#####..####.####.#.#.#..#..#..#...##.....#.###.#.#..#.#.#..#.#.##.####.....#.####..#.....#####.###.#..#..#...#...#.#.........#...###.#..#####....#.####...#...###..........##...#.#...##.#.#...##...#..#.##...##.###.#.#..#####...#####.####.##.#....#..###.#...####.......#..#######...##.#####.
.##.##..##..##...#.#..###.....####.#...#.####.#...##.##.#.#.#.###.##.#...#....#.##.######.......#...####..##..##.###...#.#.#...#.......#####..##...#..####.......#..#..#..#...##.####..#.######..###....#.#.#...#..###.#.#..##..##.######...#.#.#.#.#..#....##.#...##...##.#.#.........###..###...#.#..#......#...###.#.#.###......###....##.#.##..#.#..#...##.####.#...#.##.#.###.##..##.#.###..#.##..##.#..##.#.#.#####..####....####..#.#######...#...###..#...#..###.#..#.####.##.#.#.##..###.####..##...#.##.#...###....###..#...#.#.#.#.#.###..#.#.##..#.##..###.#..###..##.#.#..###..##.##.##.#######.##.....####.#####...#.##...##.#.######.#####..#.#.####..#.#.#.#.#.#..#...#..#.#.#...#.#..#.###..#.#.##.##..#.#..###.###..###..###.#..###..#.#..#...###.#..#.#...##..###.##.####.....###...#####....##....##.###......###.#.#.##....##..#.###.#.#.#####..###..##.###.####.#####...#....#..##...#..##...#.##.##.#........#..##...##.####...#.#.#####............#..#..#.#.##..#.######..#...#.##.####.##..#.#..#.#.#...##.#.##..#.##.###..#.###.##.###...##..#..######.#.###..##.###...#####...#.#.##.##.###.#..##..#..#######.#..#....#.....##.##.#.#.#....#..#..###..#.####..###..#.###.#..###.#.###..........####..###.#.....######..#...####.#..##...##.....#.#..####..#.#...#.#.#.#....##.#...#.#.#.#.##..##......##.#.#.##..#.#..#####...#....####.#.....#..#.####.#.#.##.#.##......#.#.##.#...##..#..#.#..###...#..#.#.####.....####.#...#...#.##....##......#.##.##...#..##.##..#..##..#.#..###...####...##.....#.#.#.####....#.######.###.#..#.###.##.#......#.#.#..#.#..######.##.#..##.#..##..##.##..##.#..#..##.#..##.##.###..#.#####..###..#.#...####.##.###.#.###...##...#.###....######..#.##.##..###.....#..###.#..#..######.###....#..#.#......#.#.####..##.####...###.##..#.######.#.#.#.#.###.#......#.#.##.###.#.#...#.#...###.##.#.##..#..#####.####..#.#.#######..#..#.########.##.##########.###...#.#.#..#..##.#..####.##.#.#..##.#.#...##...#........#..##....###.#.#....####.########..####.#.##......##..#......##.##.#.##.#..#.#........#
...##.#..#####.##....####..####..##.##.##...###.#.###..#.#.##.###......##.####.#.#...#.#.##.#..#..##..##..#.#....##.##....##.#.#.#...##.##.##.##....##..#####.....#...######.#.#....###.#####.#.....####..#.###.#.####.##.#..#.##..####..#.##.#.###.##...#.#.#.#.....##.#..#.##...#.#.##.##.#.##..#.#..#.##.###.##..#.#.....###.###...####..##..###.#..##.#..#.#...#..###..#...#####.#.#.#...###.####..#......#.##....#....##.####...#...##.#...#########.#####..###.#.#...#..#..#####..##......######.....###.#...##.#.#.#.##..#.#..##..##..###..###.##.####.#.##..#.#.##.#######.####..#########..##.#.##.######.##.##.#..####.#...##.....#...##.#.#...####.####.#..#.#..#####.#....###..###.##.##.#.####....##...#.#..#..#..##...########.##.##.#.##.#.#..##..##....#####..#.###.#...#.##..#.#.#..#.#.##....#.#.#......#.##########.###.##.#..#.##....#....#####.#.#.#..##..#.#######...###.#..#....#...#.#.###.#.#######.###.##..###.#.##.#..#..##.##...#...#.#.###.##.####.####..#....######.#.###..##.###.##...####....######.##.#.#..#..#.#....##.....#.##...#.......##.#.....##..#...#.#.#....##..##.#...##.#.........#.##..##.#..#.####..#..##...####.##.###...#.#.#..#..#....###.#.###......#######.........#.....#####..#.##..#.##.##..#.#..###...###.#...##.##..#...#.###.#..#..###..#.##..####.##.#####..#...###.#.....##.....##....#.###........####..###.##....##.#.###.#.##.##.#.#.######..#.###.#.##.##.#.##.####..##.#.#......#..####.#...#.###..#..#..##.####.#..#####..##.#..#.#.#..#.....#.###.###.##....###.##.#....##.#....#..##..####.##.####...##.##..#####.##..##.#.#..##...#..#.#.....##.......##..#....#.###..###.##.........#####.....#.....#.#.#.##...#..##..#.#.#..###...#.#.#.#....#..##.##.......###..#..##..#....#.##..#....#...#..##.#..#.#.#...#.###.######..##...#.#.#...#..###.###.##..##...##..#.#.#.#......#.#.##.##.#...##..###..##...###..###.......####.##.##..##..######.#....#.#..######.#.#..###....#.##..#....#.#####..#.#...#.##.#..#..###..##......##...##....#.###.#.##.....#.##.#.#...##.#..####.#..#.....#..##..#..#.#.###..
..#..#..##.#.###..###.#.#..######...###.##...##.#.#..#.#.###.......##.###..#........#.##.#..#..###.####....##.....###....##.#...#.###.##..####.#...##.#...#.#.###.##..#....#..###..####.##..####..#.#..##..#......#.##.#..##.#....##.######..#......#.####.##..#.#.###.#.#####.....#.####.###.....#.#.#.#....##.#..........#..##..####..#.###.##..##.#...##.##...####.....###.#.###.###.#.##.#.#.....#...#.#..###.#.#..###.##..###.#...####.####....##.###.###.#.###.####.#.##.####..#####.#.#.######.##.####.#.##.#.##.##.###.#.....#.....###..##..#.#....#..#.###....######.#..##.###.#.#..####..#..#..#.###.##.#.#.###.####....######.#.##.#..##.#..#.#..#..######..##..#.#..##.#..#.##..#...#.#.##..#.#.#.####..#.............#.##..##.##..#.#..##.###.#..#.#..#.##..#...##..#.#####.#...#....#.........#.#.###..####.##.##....#.##.#.##.#.#.##.##....#.####..#.###.#....###.##..####....#..#.########.......###.#.#..#.....##...#.####.####..######..##...######..###.#....###.###..#...##..#..##.....######.#.#.#.#...#######.#..#####..#.##..###.###..#.####....##...###.#.##...#.##.#.##..###.##...#..#.###.#.##.####.#....##..#.#.#...#.###....#.##.###.#..#.###............#..#..##...#.#..######...#.#.#.#..#.####.#.###.....##..##..#.####.#.###..##.#..##..#...#.#.##.#....#....######...#.##..###.##.##.#....######.###.#...#.###..###...#.##..#..####.##.#.###.###.#..####...####.#...##.#.#..#..##.#..##..#..####..#...#...###..#..#..####...#.....#..####...#..####.#..###.###..#....#.#.#....###.#..###.##.##..##..#.#.#.##.......#..#.#...#...###..#.###.#####..#.###...###.#.......###...##.#..##.#.####.##....#.#.##.......##.###.###.##.##.#.######..#..#.###.#..###.#.##..#########..##..##.#####.##########.#...#..##......######..#...####.#.#....#.#.######.##.###......#..######.#.#..#.#...##.#...##...####....#..#.......###.##....#.##.###.##.##..#..#...##....##.#...##.#.#.###.###..#.##..#..##...#.#...#..##...#####..##.#..#......##.#.#..#......###.##..###..##.####..###.##...######.#.#.###.##.##.##.#.####.##.#####..#...##....##..###....
#.##.##...#.#..#####.....#.###.#....#.#..#####.....#...#.#.#..#.##.##..##.#......#..##...##.##..#..#....##..##.#....#.#.#.###.##.###....###..####...#..#....#...#..###...#.#####.#.#.....##..#.#.##...#.##.######.#.##.##..##.##.#.##.####...##..#.##.#.######...###.##.#.#...##.###..#.....###...#.#.###.##...###...####..#..#..#.##..#.....#.#...##....##.#.#.###.#...##..###.#.####.#..#..###..####.##...##.##..#...#......####..##...#.##....#######.###.#.####.##....#...##.#.......#..#....####.#####.#####...#####..#.##..#.##.##.#...#.########.#..#.##..#..#....###.####..#......#.####...##.##..#.#..#..#..#..#..#.##.#.#..####.#..#....#..#..###.#.#.#.####.####...#....##.#..##...#.#.###.#.####....#.....##.##..#####..#..####.#...#.####..##....##..#..##.#.#..####.#####.##..#.#.#..#.##....#.#.....#..####..#.#..####..#....####.###.#.#.#######.##.##.#.#..#.#.....#.##..#.###.##..#..##.####.#.#.###.##..##.#.###..#....#.#.#..#..#..#.###.##...#.#.##..#......#..#.#.#.#...####.#..##..##.######.#.......#######.#.###..####.........###..###...#####...#.#.#..#####..#.#.##.##..#..##..#####.#.#.###....###..#...#..#####.......#####.###..##...##...#.####..#...#.....##.#.##.#####..#.##.#..#.#..###.##..#.##.##.#.#...##..###.##.####.##..##...###.##....##...#..#..#..#..#.#.#.#.##.#.##.#.#..####....#..###.###..#.....#.##.#.#.#.##.##..####...##.##..#.###.#.#...##..#..###.#...##..#..##.#.###..####.#.#..#...#...#.#.##...##.#.####...###.###...#...#.#######.#...#.###.#.#..##.###.....#.##...##.#.....#......##.#..###...##.#..##....#.....#..#.#.#.#.###.#.#.##..#.#...#.##.##..###..#.#.#...#..#.#.###.#..#...###.#...#.#....#..##.#.#.#.#.##.##.###.#.####..##...#...#...#.#..###..#..#.#...###.....####....##.#..#.###.....###..##..#.###..#..#..#....####..#...##.....######....###..#.#..#######.###....#...#..#.#####..###..#####..#..####..........##.#..#.##..##.#.#....#.#.######...#.#####.##...#...#..###..#....#.#....##...##.#.###..#.#.###...##...###..#.#....##.###.###..#...##..#..###...#.#.....##..##...##.#..######.#.#..###.
###..##.##.##.......#.#.####..#.#...#.#....#.#...#..##.#......#..#.##..##....#..####..##....#....##.##..#...###.#..##.##..##....#####..#####...#..####.###.....#..#.#####..#..#.##.##.....##.###..#...#####...#######.###########.##.####.#.##.##....#####.##..####.##.##.#.#..##.###.#.###.##.#.....##.#.##......#..##.#..##########..###..###....##..#.#..#...##.#.......#.#...#..#.#####...#.##.##...##.###..###.##.#.##..#.####.#.#...##.#.##.#.#...#.#####..#.##....#..#..#.#..#.#....#..#.##.##.#...##.#.#.###.#..#########.##.#...#.#........######..#..#.#####....##..########.#.#..##.#.#####..##..####.#....##..##.#.##.##.##.###....###..######..##.#.....#.#.##.######.##.#.##.#.#..#.###..#...#.##.##..#..#...##...###...##.##.####.#.#.#.##.##..##...##..##.#.##.#.....#..#.###..#...#.....#.###.#.##.#.#...#...##..#........##.#.#..#..#.#...#.#..###.####.####...##....#.###.###..##..######.###..##..##.......##.##.##..#..#.###..#######.#...###.###.#.##...#.#..#..#..#.##..####.######.#...##.#......######.##....##....#.#...#......##...##.#.....#.#..###..####..#.#.#..#.#.##..#..#...##.##.#####.#....#..#..##.##.##..##.#.#..##.##.#.##....####..#.###.#.......#..##....##...###.....##..###.......###.##.#..#..#..###.##.#....##......#.##...#.....#.#.#.#......#.##..#.###...#.#..#.#.##...#.#....#...#..#.##.#..#######.##.###.#..###...##.....##...#####..#.##..####....####..#.#...######..#.#..#.#####.#.#.#..####.#.##...#..#..##...##.#...##..###.###.##.#.#..#....###...##.##.#....#.###.#...##.##...#...#.####..#.##..###.#.##.#.##.#.##.##.#.#...###.####....#######.....#...##.#.#.######.##..##..##..##.#..###.#####..#####.##.#..##.##.#...##.###.#.#####.##..#.........#.##.#.....#.####.#....#..###.#.#.#..##.#....#.#.##...#####...##.#..#.....##....#....#.......###.#.###..#.##.##.#.#.#####.###.#......#.....##...#...##...##.#.#########...#..###.#...#....##....#.######..###..#.##..#.#.###.....###.#.#####.###......##.........##.#.#.###.......####.#..#.....##.####..#...#...##..#.#...#.##...#.....##.##..#..####.##.#...#.#
#.#.#.#....##.#.#.#..#####.#..#.###...#.#.#####.#.####.#....###..###........###..###...####.#####..#.#.##..#...#......######....#.#.#.##.##.##....####.....#..#.#...#..#..#.#.##..#.#.#.##....##.#..#..####..##..##.###..#.##...#######.##.#...#....#.####..###.##..#.##.#.##.#..#.####..##..#.#.....#####...###.##.##.####..#####......#...#####..###.##..#.#.##......#..######..#....##..#..###..#########.#......##..#...###.#..#..##.####.#.##.###.#####..##..#.#######...######..##....#..##.........##...##..###.##.#.....#.###..#.###....#.####.##.##....##....#.#####...#.###..####...####....####.###.#....###..#..##.###..#########.###..##.###..###...#....#.#.####.#......##.#...##.####.....#..#..#...##....#.##...#...#.##.....##..#####.##.##...#.....#.####....###.#...#####.#..####.###.#.##.#..####.####.#####.####.##...##....#....##..##.##...#.##...##.#..#.##..#.#.##..###...#.#.####..#....#.##..##..###....##...####...#..####...#.##.#.##.#....#.....###......######.##......#....##..#.#..##.##.###..#.##..####..#.#.##.#.##.......##.#.#.###.#.###....###.#...#.##.##.#..##.#...#.###.##.#......##..##.....###.#..#....#####.##...##.#.#.#..######....#..#.#..#.#.###......####.....##.#....#.#########.##..###.#.#....#....#.#..#....##.....##...####.##.##..##.#..###..#.....########..#.#.##.##.#.##..#####.....#.#.#....#...##..######.#.#.#####.#..#######...###..#.#.##.#...#.##.#......#.#...#..#..##..####.##.###..#.##.#.#.##...##..#.###.#.#..###..###.#...#.####..#..###.#.##.#...###..####...#.#..#....#..##..##...#####.##.##.#.####...#.####.....####.##..#..###.#.##...########.##.#...###....#.#....#..#....#...#.#....##..#..#..##......#####.#..#.#.##.#..#.#####.###..#.##.#.#....#.#.....#..#....##..#####.##....#..##..#.#.##.##....###.#.####....##.#.#.#...##..##.##..#.###.##......#.##.###.#.##...#..#.##...##.#....#.##...###..##..#.#.###.#.###.##.#..#.#..##.....##.#....###.#######....#.#.#.#...#...##...##.##..##.#....#...###.#.###.##.#.#..######..#.########...##...#.#...#.....##.#..###.####....##.#....#.#.#.#.#
##....##..#.#.....##...#.###.#.#..#..####.#######....#.##.####.###.......##.#...###..#...##.#..#...#............#.#.....####.##..###..#.#.####...###.#..###..#.#######..#.#.##..#.##..#.#...##..#####.##..#......#.#...#.###.###..#.......#.#...####.#.#.#..#####.###..#.#####.#.#.#.#.#.#.#.#..####.#####.#....##..#..##....#####...#.#.##.######..#....#.#.#..#..#....#..####..####.#####...#.######..#..#..#....####.#..########.##.##....#.##...#.####.#.###.####.##.##......#.##.##..##....#.#..#.######..###.#.##....#####.....#..####.#..##....##.##...##.###..#......#.##..######..##..#..###.#.##...####...#..##.#.#.#.......#...#.#.#.##.#.......#....#.#.#.##.#.##.#.#..#.#.#..#.....###...##..#.#.###########.###...#.##..###.##.###.#.###.##...##.#.###..##...#.#.#.....#........####.##....###..###...##...##.#..##.#.....##.#..#...#.##..#...###..####..#.....##.#####.#.##.###...#.#..##.#..#.#...##.#########..##..#..##.#...#...#.#.##.....##.#.#..##.###..#...#..#..##....#.#..#####.###.#####.####......#...#..#..###.#####....##.#.#.#..#..#..#......###..#.####..#.#....##..####.#.##...##.#...###.##.#..#...##..#.##...#..#..#..###..#.#####....#####.##.#####..#.#####.#.##..#.#..####.##....#..##.#####.###..######.....#..#.#..###.##.#.##..##.####..#######.#.##.......##.#######.#####...##..#.#..#..##.#.####..#..#..#...##..####.##.##...###.##....##...#.###.#####......##.#..###.#..###.#####.#.#....#..##....##...#.#..#..#.#.#..##.####.####..#.######.#.##.....#......#.#.#.##.##....#.##..##.##.##...###..####.##.##..##.##.....###.####..####.##.#..##.#.#.#.#.##.####.#...#.#...#......##.##..#..##.....###....#..###..#.#.#.####...#.##..##....##.##.##.#.#.#..##.##.#.##..##..##.#.##.##..###.#.##.#..#..###.###.#...#...##.##..#..#..###.#.#..#..#......#.#####.####...##..###.#####.#...#.#....#.##.####.#.#.##.#.#...#....#.#.##.#....#..#####....####.#######.###..##.....####.#####..#....#.#.###...##.#..##.#......###......##...###.###.##.#..##..##.#.#..######.#.#.#..#.##.........#.###.##..####.#....#..#.#..####..##...#####
.#..####..#.###.#..#..#.##.##.##..#.#..#..#.#.#####.#.....#.....###.#.###..####....#..#.#.####..##....#..###.......###.#..######.#.#..####.###.#..#.#..#####.....#.....##...##..#.#..#.##.##..#..##.#####....#..##.##..#..#.#..#..###...##..####..##.#..##..###.###..######..#..#.#...##.#..#.#....##.#...##.#####.##.#.#.#.#####.#######.####.#.#.#.#..#.#.#...#.....#.#####.###...##..#.#.....#....####..#.####.###..#.#..#.##..##.#.######...##.#.#...#......##..##..#####..#..#...###.#..#...#.#.#.#.######.#.#.####...#####..#.#......#.####.##.#.###...###.#.#.#.####...###..#..#.#.#.###.###...#.#...#.##..#.....#.#.##..##.##...#..##.#.#....##.##.##..##.#...#.#.#.#.#.#.###...#.#######.#...#..#...##..###.##.##.###....#.#....#....###......#.####...##..#.#....#...#....##.#.#.#.#.##.#.....#..#....##..#.#...#..#...######....#.##...####......###....#.#..###...#..###...########..######.#...#.#.#.##..#.#..##.#.....#..#...##.....##.#.###..##..#.##..#.####..###.......##.####....###.######..###..#....##..#####..#..###...#...##.....#.#.##...#.##.#..#.###........#.....##..#.###.##.###.#...#..#.##..#..##...#.#.######.##.#.#..#.##.####..#.....#...#.#####..#.###..#.#...#.##.###......####..######.###.##....##..##.#.##.....#..####.#..#.##..#######...#..##.#...##....#...#..##.####...##.........###.#..#####.###..#.#.#....#..###.##.#....#..###.....##.#####...#.##.###..#..####...####.##..###....#..##.######..###..##.#...#...#..######.##..#.##.....##.###.###...#.##......#.##..####.#.....#####..#.##..#####..#.##...#.##.#.##.#...##.#.#..##....#.###.##....#.....#..#...###..###..#.#.#...##.####.##.###....#####..#.#.##.###.###.##......#.##.#......#....#..#.##..#....###..##..#..##...#.#.##.#...###..#...##.##.##...#.#..####.###..###....#..#.#...###.####.######...#..###...##.....#..##.#.###..#..###......#..##.##.##..#####.#.##..#.##..##.###.#.#....######..####.....##.###.###.....#..#...##..#....#..##..##.....##..####..#.####.#.##.##.#.#.#.#.####.###...##.#.#..#.##..###.#.##.##.#####..###.##.##...#.###...#.#.#####.#.
.##..#.#.##...##..####.##.##...##.##.##...#.#...##.##.##..##.......##...##...#.##....#.#.#.#.###.##.###..####..###.#...#..###..#.##..#.####.#.##.#...###.##.##.##.##..##.#.##..#.#.#####.#..##.#.#..##....##.###...#.##.......#.........###..###.#...#.##.#.###...#.#..##..#.....###.####.####....##....#.###.####..#.#...###...#.#.....##...#....#.#.#...###.....##.##.#...........#.#####.###....###.#..##.#.#.##.#.#..#....####..#..#..#.#...##.#...#...##..#..##.####...#..#.#.##.##..####.#..##....#...#.##....###.#....###...###.#.######.#.###.####..##....#.#...#..#.#.....#.###.####.#..###.#.#.####.#####...######..###....##.##..#.#..#.#.##.###......####.###...##.#.#.#....##.###.#..##..#.###.##.#.#...#.###.####.#.##..#.###.......###.#.#....#..###..#.##.##.###...##.#...##...######..#...#..#..#..##......#...........##.#.##...#..#####.#..##.#.####.....####.#.##..####.#.....#.#.#.#.###.###.####.#.#.######..##.##...#...##.##...#....###....##..##.#.#....###.#####..##.#...##.#.##.##.....###.#..##...#....##.#.###.###....##.##..###.#.####.#.##...####...##.....#.####.#.#...###...####.##.#.#.##.#.##.###.##.#...#.###.#.#..#..#.#..#..##...###..###.#.#........#...#....#..#.....#....#.#..#....#.#.....#.#....#.###..#.#....#..##...##.#..#.#.##...#..#..#..#....#.#.....#........#.#.....#...#...#####...##.#.###.###..#.##..##.#.#..##..#..##...#.##.#.#...#.#.#.##..###..#..##.##.#..##...##.#..#.#.##...######..#..#.#..#.##.##.####..#.#.##.#####.####...#..##..##...###..#..#..#......######.##..##....###.#.#.#.##.##..#.###.##.....###.##....#...#.##..#....#..#.#.###..#...#.#.##...####...#.##...#...#.#.#...#...#.#.#...###.#####..##.##..##..###.##..#.#....#.####..#....#...#####..###.#.#...#..#...####.#....####....##...#.#.#.###.##...#....#.#...#.#....#..##..#.#.#.....#.#.##....###..#.###..###..##...##..###.###.##.##..#..##..#.##..#.....#...##..###.#...#.####..#..###.#...###.##.#.##.#########.####...##..#..####.##.#..#.###..#..#.#..#.#..##.##.....###.###...#.#.......##....#...#..#..####.#...#.#####.###.###.#.##.#
##...####...####..######.#.##.....##..#....#..#..###...#.#....##.#...##..#######..#.###...##.#..##...######..#...#.##..#..#.#####...##....##...#####.#.......###......#.##.#.#.####.#.##.###...#....###.#...#....##...#.##..#.#..###.#..#...#.#..#.#.##.##.#..##...#...#..##..###.#..#.#.###..#######.#.#.#.#.###.##..##.#..##.#..#.#..#.##.#...#.#.###..#..###.###..#.##..#..#######.#.##...#.#.##.#....#.###.#..##.######.###.....#....#..#####.#.....#..#.#.###...#.#...#.#.#####..##..##..#.##.#.....#...#.#.###.......##.##.#.....#.#.#.##..#...#....#######.#.#.##.#####.#....####.###.#..##..######.####.#.#.#...#.#.###..##.#..#.##.....##.#....#...#...###.#.....##....#.#.####.#.#..######.#.#..##.##..###.#...#.##....#..#...#.##.##.##...###.##.##.#..###....#.#....###.######.#..#.####.#.##..##.#...##.#..#.#..####....##.#.#.#.###..####.##.###...#..#.#.....##.###.##...#.#..##.##.##.###########.##...##...#.#...###.#.#.###.#####..#...##.###...#..###..#.##...####..#.###.#.#..##..#.##.#####.#...#.##...##.#.##......#...##.#.#.#...#..####.....#.#..###.#.....#.##...#...######..######.#...#.#..###..#..###...#.##...###.#..##.#..##.#.....#..###.#..#...#..#.##....####.#..##...#..###...###.##.#..#.##.....#.###.#.##.##.##...#...##...#.....##....#.#....#.#.###..##.##..#....#.#.##..#.#.####....#####.#####....#..###.##...#.####.##.##..#..#.###.##...#.##..#.#.##..##.######.#....###...#.#.#####..#..#..#.#.##.###.#..###...#.........####.#..#...#.##.###..##..##....##...##.####..#....###..###..##..###..##.#...###....##.###..##...#.#...#.###..##..#.#......#.###..#.....#.##.#....##.##.#...##.#.####.###..##.######.##.#####.#..#.##...####..#####..##....##...#.#...##.#....##..#....###....##..##.##..##.....#....###...#..##.#.#.#...##...#....##....#..######.##.####.#.###.#####....#..#.#...###...#.#######.#.#...#....#..#.#.#...#.###..##..##..#.###.#.##..#.#.#......###.....##.##.....##.#.#.....##.##.#...#####.#.#.#.####.#..#.#.....####....##..#..###.#.#...#...#.#..###.##.#.#....#...#.###.#.##.####.....##..##.####.###.##
#....#.##.##..#.....#.#..#.....#.##..###.#..#..#.#.##.#..#####..#.#.#####.#...##....#...#.###..#.#####.####.###..#.###...#...##.#....###..#.##..####..##.###..#####.####...#...###.#####.#.#..##.##...######.#...##.###..#....#..#.#...#..##.##...##.#.#..##...#.#.###.#..###......##.#.#####..##.#.##..#.#..###..########.##.####..####.#..#..##..#......#.##..#.#.#.#.#...#..#.#.##..##.#..#.#..###...##...###.####..#..#.#####..#.#..#.###..#..#....#.####..###.##..#..#..#..#....##.##.####.#.###.##.....#..#.#.##.#..##.###.##..##...###.####.######.#..##.####....#..###...###.##..###...#.#..##...####.#.#.##.#####.#.###.###.#.#...#.##..##.#.##.#.#.#.#.#.#.###...##.#.#.#.#.###.#.##...#.#.#...#..##.###..#.##...###..#.###...#..#..##.##......##.##.##.####.#.##.#.#.##.###..#.#.####.##.###.#..#....#...#..#.####.......#.###.#.##....#..##.####.#..##..#..#....#.#.#.....####.##.#.##.##..#.####..##..####.##.#..###..#....##.#....#..##....#..###.#.#.###.###.#.#.#...##.#.##...#..#...########...#..#....#.#.#####.....######..##.#..##.####.##..#..#.#.##..#....#.###......####....#...###.#..#..#####...#..####.#.##.#.##....####....###.##...#.....#.###...#.##..#..##.#....#.###...##...#.###......####.#...####..##..##.##.##....#......###......#..#.##....#.##.##...#...#.######.#.###.#.#..#.###...#.#.########...#.##..##.#.####.#.#..#.#..#####.#.###.###.####.....#######.#..####......#...#...###.#.#########....##.###....#.#..#....#..#.#.#..##.....#....#.#...#...#..#####.#.##..###.....#.#####.......#..........#######.###..##.##.#.#.....#..##.#...#...#.##...##..##.##......#.####......#..###.#..##.#.####..##.#..##.###...##..#.###....##.###..##.#..###....#....#.#.####.#.###.##..#.#..#.#..###..###..###...#......##.....###....##..#..####.#..#.#..####..#....##...##......#..#####....##########..#...###..#....####....##.....#.##.#.#.###..##...###....#..#.######.#.####.....##....#.#..#.#.#.#.##.###.#...##.#.#.#.##.###.#.#.....#..#...#....##.##.#.#...#...#.#########.#..#.#.#.#..##..##.######..##..##.#.##...###.###....#..#
##.##.#...#....###.#......###...#.#...#..#......#....##..#####...#...##.##.#...#.#..###.####.....#....##.#..#####.##.###.#...###.#..#..##...#########.##.#.#.#...#...##.....##.##..#.#.#...###.#......##.#.#.#####...####...#.#######...####..#.#..#..#.#####..####.........##.#...#.###.#....###.#....##..#..#.######......#.##...######.#.#####.##.##....###...####.#.....##....#..####.#####....##..#.#..#.###....##..##.#######..#.##...##.##....##.##.....###...###..###...##.#....###..#.###....#.....#######....##.#...##.###.##..#...####.#..##.....#.#####.##..#......###.#.###.#.##.##.#.#.....###..#.##..#...###.#.###...#.###..#.#..#.#.##.......#######.#..#.#.##.#.....##..#...##.##..#..##...#....##...#####....###...#.#..###.#..##..#.##.#..#.##......##..##..#.##..##.#####..#..##...###.##....#.#.#...#.#...#.##..#.#..#.##.#...##...#..##...###.###.##....###.#.#...###.#.#.###..#.#.........##.##...#....#...#####.###...##.##.##.#..###..#.#..#...#.#...##...###.#...#..####.#.#.#.#.#.#####.#####.#...##..#......#..#.#.##....#......#...#..#..##..#...##..#.##....#.##..##.#..##.#..####.###....####..###.#.####.########.###.####......##.#..##...#..#..#.#......###.#...#....#...#.#####.####.###.....#...##.#.#.####......##.##.....#.##########.#..##.#...##########...#..#.##..##.##..#.#..#.#...#..#####..#.###..#..###.##......##.##..##..####.###.....###.####.##.###.#.#..##.###.###...#.#.##.##..#.#....###..#.###.#.#.#...###...#..##..#.###...#.##.#.#######...........####.....#...#...#..#...######.#..#.#.#......#.###.##...#.##.#.###.###..###....#..##.#..#.######.#...#..##...#..#...#..#####.##..#####.#..#.#..####..##.##.#..########.##.....#.#..####..#.##..#.##.##..##..#.###...##.#...###..#.###.#.##...##..###.###..###.##.##.#....#.....##.#.##.##..######.#..###.#..##.##.#....#####.##.#.#.......####..#..##...#######..##..####.##.#..##.##...#...#######.#.##..#.#####.#....##.###.##.....###.#..#.###.#..###....#.#....####.###.#........#.#..#.....#...#.###.###...#..##....#..#...####..##..###.##..#..##..#.##.##.#.#.
.#.####.###.#.#.#.###..####...##.####........#.##......##..##..####.#####.....##...######.##.##...##..#.####.#...#.####.#..#.#.#..#...##.#####....##..#....#.#.#.#####.##...#...#.#.####.#.#.##.##.#####.#.###.##...##..#...##.###.#..#####..#..##..###.##...#..##...##...#.#..#.#.##.##.#..#...#.##.###..#.##.##.#.###.#.#.#.#.#...##.##.#.#####.###.#..#..#.#.##....#...#..#####....#...#....#####.#..#.#.###..####.#..##.#...#.########.#....#.#.....#####.###.##.#.##.#.##.#..#.#.#.###.##....###.#....#####..##.....#....###.#.###...#..##..#......##.##..##.#..#####.###..##.##.#.##.##.#.#....###.#..#..#.#.###.#.#.##.#.#.#.###.#....#...#....####....#..#.###.##.####.#.##....##..##.######..#...#....#.#...##..##.##..##.#..##.#.##..#......#..##...#####.####.####..#...#..#.##.##.#....#.#...#...#.....#.#.#.##.#####.#.###.......#.#...###.###..###....###.#....######.#.#.##.###....##.#......#.##..#...##.#.......#.#.#.##.##.#.####...####..#..###...##...#..####..#...#.#.....#.#.###.####......##...#.###.#.#.#...#.##..####..##.#..##...#........#...#..#.##..##.#...##...##..#..#....#...####.#..#..#..##.#..###.#.##..##...#######...#..#####.###..##.#..#....#######..#..#.#######...#####.....#.#..#####..#.##...#..#.#.#...###.#...####...#..###....###....#.##..#.#........##.#####.##...##.#.#...#..##.##...##.....####...####..##..##...#.###...#..##...#....####.#######..#..#.###.#######.####..#.##.##...###.#...#.....######.#..#...##.##.###..##..#...###...#########.#..##.#.#...##.#.#######.##..####..###.#..#.#..#...#......####.#.#.#.####.##.#..#...#.#.#######..#..#.##.#.#.#.##.##.####.###..######..#.####..#.###.#.#.####..#..####.#..#.#.##...#.#.#..##...#.#....#..#..#####.....#####.#..##.....##.##..#.####.#..###......#####.##..#.#....#####...###.#....#..#.#...#..##.##..##.###..####.....##.#.#.#..##...##...###.##.##.#.####...##.###.#.##.#.#.....####.##..##.##..#.#.#..#.#.#....#.#..#.###..###.#####.#.#.#.###..#.#......#.##...#.##.###.##..#.#...##.##.#...#..#.##.#..##..#...#.#.#..#..####.#.###.###.#.#.#..##...###
...#.....#....#...#####...##....###.#..##..##......##.#.##.##.#...#.#.......#####....#.##.#..#......#...#...#..#..##...#.##.####...#.#...#....#.####..##.#...###.#..#.###.###.##..##..#####..#..##.#...#####.....#..#..#######.#.#.##...#.#.#...##.##.#.#.##..#######.#.##.##.#.####.##..##.###...##..##.###.....#....##..#.#..#...##.##.#.#...###.#.....#.#......####..#..##....###.##...###.##.#..##..#.##.##.##..##.#.###..#.#..#.##.....#..####..#..#.#.#....###...##.##.###.##.#.#...##....#..#..#.....#.#.#..##.#.....##..#..#########......##..#..#..###..###..#.#.#########..#.....##.#..............#.#...##.##.##..#.##.####.....##.##..###.##..#.#....#.###.#########..##..##........#...#..#.#...###.###..#.###.#####..#...#.#.##..#..#..#.##.#####...##.#...#.#....###.##...#####..#..#.#.#.....#####..#.##......#...#####..##....#######..###....##........#.#.########.##.#...##...#..##.#..###.#.#.#.#....#..####.##....#..##.##...#...#.####..#.#....#.#....##.#.#..#.#.#.##....#.#.#.#.#####..##...#.###..##.#...#.#######..#.##.###....##..#.#####...#.#.#.##........#.....###...####.##..###.######...###..###.###.#..#.##.#....##..#####.##.#.#..#....####..#...#.##.#..#.#.###......#.#.###..#####..#...######.###.#...##..##.##.##..#...##....#.#.#..#.#.#.##.####..####...##..###.#.#.#.#.##.#.#####.##..#.####.##...#..#..##..####...#.##..#........#..####.###.##.######....###..#.#..##.....#...#.###.####.....#..#.##.#.#.#.##...#.##..####.#.##...###....###..###..###.##....##..##.#..#...#.####.#.##.#..####..####.##...#.#.###.#.####...#..#.#..#.##...#.##.....###.###..##....#..#.#..#.....####..#...#.#####...#####....####..###...#####..#..####.#.##.#.#.#...#####.##...#.#.....##..#####.#..##.####.##..###.........##.#.....##.##.#....#..#...#......##...#.#.#.#.#.#.##..###....###....#######..###.##.##..##...###.###.#...###.#.##....##.#..####...#.###.#.##..#.....#..#..##.##...###..#...####..##......#.##....##.#.##...#..##..####..##...#.....#..#.....###....##.#..##..#.#...###...####.#..#....#.#.#####....#...#.####.#.#.#.#
....##...#.#..#.####.####.##.#.#.#..#.#.####.#......##.########..##..#...##..#.#.#.###.#.##.#.#.######..###..#.#....##..##.#.#.##.######....#..####...#..###..#.#.#####.###.##......#..###.###.########...#.##.#.#.#...#.###.##..###.###..#.#.##...##..##..##.##...##.###.....####..##.....####..####.#..#.#.#####..####...#.....#.##.#.######.#..#.....##...#....###...####..##..##..#.#.#...###..##...#.#..#...#.###....##.#.##.######.#.#....#.#..##....#...##.##.#..#####...###.......##..#..###......#..#.##.#.#...###.#.##.#..###...##.#...#..##...#..#.##...#######..#.##.#.#.#.#.##.....##..#..###..####..###.#.##.##...#.##...#.####..#.###.#####.#.#..##.#.###..#####.#.##..####.#...######...#...#..###.###....##.#####...##.#.....####.##..#.#####.###........###.##..##...###.......#..#...#..##.....##.###.#.....#..#...##..#....###.#...#..#.##.##....##...##.###..#####.....#.####.#.#.##....##..#......###.#..#.##.##.#..#####..##.#...##.####.#.#.#.....#######..##.....#..#...#...###..#..#..#..########.#..##..##.#...#...#.#.#..#..#.##.#.###.#...###.#####.#..#.####..###.#..###.#...####..##.#.##..#.#.#.#...#..#..####..#.###...#.##.#.#...##..#.....##..#.####..##..#.##.#.####..#.#..#.##.#.####.###..##.#....#.......#.#.#..#.#.###..##....#...#.####......#.#####..#.###.#.##.#...#...#..##.....##..###.##.#.#.##..##.##########..#.###.#......#####...######.#...#..###...####.##.#..##.#..##..##.#######....##..#.##.#.#.#.####.#.#.#..####..#...#..#...#....#.##....###.#####.##.#.##..###.#.#.#.##..##.##....#..##.#.#####...##.######..####..#####..#.....##.#....##.##.......###.....####.#..##..###....#.......#.#.#.#.....###.#.....#..###..###..###.#...###.#.#.#......####.#.#..###..#.####.#########.###.#..#####.####....#....#..#.....#.#..#.###.##...#.####.#..##.#..##...#..#...#.#.####...######...#..#.#......##...#.#.#...#.#.#..#.....##....###.###....#.##..####..#.#.#.#.#.##.#.#.##.##.#...#.#...#..#.#.##...#..###.##..#####..###....##...#.##.#.#....#.#.##.#..#..#..###.##...####......#....##.####...#.#..#.###.##.#....#.
####..####...##.##.#.....#.#....###.###....####.#...#.##...#..#.###..#..#....#.....###.###......######.##..#..#####....#.##..##.#.#.#..#.........###.#####.##...##.#..#.#...#.##..#.###..#.#.#..###....#..#.#.#.###.#.##...###.#...#.#......#.#.#.##..####.#.#...#..#.#..#....#.###.#..######........###.#.#.##.####.....#####..##...####.#.##..##..##.#.#.#.#.#.#.#.#..#####..#....##.#.#..#.#........##......#..#.#...#..##...#.####.........#.###..####....#...##.#.....##..####.#....#.#.##.#.#..####..#...#..##.#..#......##....##....####..#..#....#.......#...#####...###.###.#.........#...#.###.##...#.#...##...#.#....##.###.#..#.##.#.##.#....#.#.#.#.###..##.#...###.#...#..##.####..##.#..##.#......#..#.##.##.#.##.....####..###.#.#####.##.#........###.###.#..##.##.#..#....#....##...#.######..###..##..#..##.#.....#######.###.#...###.##.#.####..#..##.###..#......##.#...####.#..#.#..###..##......##.#..#..###.#..#.#...####.#..#.###...#.....####....#.##...###...#...#..##..#..#..#.##.##.#...#.#.#....###......##..#..####.#.####.###..#.#.##.#..#.#.#..####....#..#....#.#.##.#..###.....######.#.#...#..#..#......#..####..#.##.###.###...#.#...#..#.##.#..#....###.#.#.#...##..#.#..#..#.#..#.#.###.##.#.#.##...###..#...##.###.#.......#####....#.###.#.#...#..##.##.#.##...###...#...#.##.#..#.###..##.##.#..##.#....#...######..####........#######...##......###...##.##...##..##.#.#.#.##.#.#.#####..####..####...#.#.####.....#...#.#..#...#####...##..##.#.#######.#.##.#.##...#.##.###.####.###..##...#...#.....#.#.#.#.#####......##..#..##....####..##.#..##..##..#.###...##..##.###.#.#.#.###..#..#.##..##..#....##..#.#..##...#.#.#.#..##...#####.#..#####...#..#.#..#####......#.####..##.#....##.....#...####..#...####..###..##...###.###..#.##.....####.#..###.##.#.###...##..#........##..#.#.###.#.##.#.#.#.####.#.#####.##.##.#..#.#.#.###..#.#..###...#...##..#..#.#.#..###...##...#...#..####.##.#..#.####.#......#.###.#......#..###...##...####..#.#.#.#....#.#####....#.###..#......#.#.#.#.#.######.##........##..#.#.####.#
##..#######....##..###..##..##..##.#.####..#.####.##.#.#..#.....#.##.#.#.#.##..###..##.####.####..#######.##..##..###..###.#.#####..#...##.####..#.##.#.....#####.###...#.#..#.#..#..#.####..#.#.###.##.....##.##......#..#..#....#.#.#..##.#.##....##..#..#..#...#.#####.#.#...###...#.#...#.#.........#.#..##..#####.#..#.##.###....##..##...###..###..#.#.#.#..#..#...#.###..#.#.....#..#######.###.###..##.#..##...##...#...####.#..##.##...###..##...###########...##.#.#.#####..#..#.#.#..#..#.###.##.##.#..######..######...#..##.#..##...#..#.#.....###.#.#.##..##....##.##....#...#..#..#.........##....#......#.####...##.##..#....###.#.#.#..#.###...##...#..#.##.###.#####.#....###..#######..#.##...##.#.##..#...#....##.#.####..##...####..#..#.#..#.####...#....#####....#...####.#.#.#..#.####.#..##.#.#.#....#...##....#######.###.###...#..#.##...#..#..###....###.####.#...###.##.##..#.##...#.......#.....###..#.#..####.#..##.###.#.#....##.###.#.###.#####..#.#..#.##.#......###.###..##..#####...#..#.##...##.#####.#..##.###.###.#.##..##...##.##..####.#..##.#....#.#...#.####.##..##...#.##.#.#.#.##...##.....##.###.#....##..###.#.#.###.#...#.####.##...#.##.#######.###..###.##.###..#.######.##...##....##....#...#######....##...##......#.##...#.#.#..##.#...###.##.#.....#..####...#.......#.##...##....#.....#....##..#..#.###..####.##.#..#######...##...#.###..#...###.##.#.#.#####...##......#.##..##.#...######.##.#..##....#....#..#...#.###..#######...#.#.##...#.#...##.##......#...#.#..###...##.#######..##..#....#######.##..#.#..##..#.#.##.###.###...#######...#..####.#.#.##..#.#..###.#.#.......####.#.....#....#...#...#..#..#..##.##.#.###..#.##...###..#####....#####.##..##...#.##.#..#..#.#.##..#.#..##..###..#.#....#.#######..#..#.........#.#..#..###.##....###.###.#..#..##..###..######.##..###.##..##.##.#.#####.#..##.##.#.##.#.#.####.##...######........###..#....#.....##..###...###.##.#.#.##########......###.#######.###..#.#.###..#.....##..##..###.#.........##...#..##..####.####.##.#.#.#.....####.#.###.#
###..#..#.#..##.#..#..##.#.##.....######.###..#..#..#.#.........####....#......#..#.#..#####...##.###.#..#.#..##...##.#.#.#....#.###..#.#...#....##.#######.##...###.#..#.##..##.#.#.#....#..#..##....#...###....##......#..#.......#...#.###..##.##....##..##.######...###..#.####.#.#.###..#...##.##...#.#.##..##.#...#.#....#....#......##...#...#.####...#.#..##..####.##.#.#...#.#.....#.##.##....##.##.######.###.####...#.#.###.##.###.#.##.###.#...#.#.#..#...#..#.#.##.##....#.####.#..#.##....#..#.#..#..#.#....##..###.##..##.##.###.#...#....###########.###..#..##.#..###.##.#.....#.#.##.#####.#.#....#.####...#...##.##...####.######..##.##..###.#.#...###.#....##....#.##...#.#.##..#..#..#..#.#......##..##.#...#..##..####...#.#..#..#.#.#..#..###...#...#...#.#.##...##..###.##########.#...###.#....###....#..##...#.#...#..#..##.#..#...#..######.....##.##..######..#.#....##.#.....###..#..#....##.#.....##..#..##..#.......#.##..##.###.##..######.###..###.##.########..##...###.###...##...#......######....#####..##......#.######.#.#..#.##..##..#.##.#.#.##.#.##.#.......##.#.#.##.###..#.###..#.####..#..#.#.#.##.#..##....###.#.#.#..#.#.##.##.###......##...###..#..####.##.##.#.####.##.####.####....#.....#...#...#...#.#.####...#..##.#.##..#.#.#..##.##..#..#..#...##.#.#.#....#..#...######.#.#.##.#.#.......####.#.#.##.##...#####...........#.##..####.##.##.#...##.#..###...##....#.#.#.#.##.#..#..#####.#.###..##.#.###..#..#.##..##.##.#####.###...###....###.##.#..###..####.#..###.###.#.....#.#.##.###......##..#..##.#....#...##..###.#.##..#.#####.##.#.#.#.###....#.#....#.....###.#.#######..#.#...##...#.##.##..##.##.#.#.######..#.##.##.##......####.####.##.#....##..#.#.######..#..##..##...#######..#.###.#..#.##..#.####.###...#....###.##..#.###.#..####..######.##.##..####..#.#..##.#..#...####..#...######.#..#.#.#.####.#.##.##..#..####....##..#..##.####...########.######.#....###.#.#....###.#.#...#..##.#...##..#####..###..#.##.###.####....######.#.#.##.######.##....###..#.#...#.###.##.##..#..#.#####..#
.#####....#####.#...####....#.##.###..#.###.####.###.#.....##..#.##.##..#..##....#.###.#............###.######..####..###.##...##..#.###..#..#.####....###..##..#....#.###.###..#.#....#..##.##.#.#####..#...#########..#.###...##...##..##.##..##.###.##....#...####..##.#..#.#.###.####.#.#.#######....#..##.#.#######..#.#...#.......###....##....#.##.####..##.#...##..##.#.#.#.#.....#####.###........#.###..#.####..#..#..#....#..###.###.#.####.###.#..##..#..##.##..###.#####.....##..#######.#.##.##.#.##..###.#.#...#..#....#.#.#..##...####...##....#...##.#..###.#..#.##...####.#.##.##...###.#.#.#.##.####...#..#..##....#.##..#....##.#.###.....####...#.#.#.####..#.....##.#.##..#.######..##..#..###.#..#.###..#.#.#.#.###.##..#.#...#..##.##...####.#####..#...#....#..####.....##..##....##.#.#...#...###....#.##..#.#...#..#.#...#.##.#..#.#.#.#.##...##..##.#....##....#.##....#.###..#...#.######....#.........###.#####..###.#.###...######.#...###...#..#...###.#.##...##..#...#..###....#######.####.#..#....#.#.###..##..#..#.#.#......###..#####...#..#...##..#......#.##.####...##...##.###..##.#...#.##.#...###.#..##.###...#.#..#..#...#...#.##.###..##...#####...###..######..##..##.##..#####...##.#.####..#....#..#..#....##..####.##.#..####.##.....#.#..##.#..##..########.#..#.###..######.#######.#.##.....########.#..#.#...##.#...###..###...#.##..###.#..#.##.##...##.##.##.###.##..#.##.#.#.#.#..#...###.##...#.#...#.....##########...##..#.###..###..#.#.##.##.#..###.#.##.#.#......#..##...##.#..#.###.......##.#....#..#.##.#....#.....#.#...##.#..##.#####...##....#....##.#.#.....#####...#.#...#...##.#.##.#...###.#...##.###...#.##..#.#.#.#.##.##.#..#.#.#####..###.##.##.###.#.#..#.....#...##.#...##.####.#.#.#####..###..#.....#..#.####.##..#.#.#######.##..###.###...#..##.#.##...####.###.##...#.##..#..####..#.##..##..##.....####...####.###.#.##.#.#.####..#.##.###.#..###....###...#.######.###...#....##.###.#.##.#..#..#.#.######......##.####..#...#..#.##..###..#...#.#..#...##.##.....#..###..##..##..##.#.....#
##.###..#.##...#..#.###..##.#.##.....####...#####....#.###...#..##..##..#...#.##.#..#.#..####.###..#.#.#.#.##.###..##...##.#...#.###.#####.#.#####...###.#..##...##.#..##......#.#.#.....###..###....###..#....#.#.#....#..##..##..#.....#..###.......#...##.#...#..#..#...####.###...#.#....#.#.##.###.#.#.##.####..#.......#..#.##.....#.####..#.###.......##.##.....#..####.....####..#..#.###.##.#.##.#####..#.#.#..#.#.#..##.##..#####.####.#..###...#.#..#.##.###....#.####.###.#.....#.##...####..##.###.#..#..##.##...#..##.#.#..##.#..##....#######.##..#..###.#.###.##..#.###.#....##.##..####..#..#.##....#..#.#.##.#...##.#.#.###..#.###..#...#.###.#..##..#####.###.#...#....####.##..######.#..#.#.#.#..#...##.#..#.#...#.#.###.#.####...##......#####...#.#.##.##.#..#....#..#....#####...##.#..#.##.#.#...#.#.#.#.#..##.#...##..#.#..#.#..#....#.#..#.###.#.###.###.#.#.#..####..#####.########.#.###.#..###..#.......#.##.#.###.##.###.##..#.###.#.#.#.##.#.##.#.#.##.#.###.#.#..#...#...##.###.##.#.#.##..#..#.#....#..#..###.#....###...###.....###...#..#.#..#.....##..##..#.##.#.##..#.#.#.###.#...#....#####.#.#.####.....##..#....#####...#.#..#...#..##..#..#.##.#.##.#.##..#.#..#####.##.#..#.#..#..#####..###..##....#..#.#.....##..###..#.#.#.#.###..#.##.#..##.##..#..##.#.#.#..#############..###.#.#..#.#.###.####.##.##.#...#..#..##.#...#..####.#.###.#...#.#..###...#..##.###..###.##.##.#####.####.#.#.###....#...###.##..###.#..##.####.##.###.#...###.#....##.#.#.##.....##......#.###...#..###.#...##...######..#..######..###.#...##.#..#...####...##.##....#.#.#.....#.#.###.#..#.....##....#.#..#.###...#####.##.#....#.##.#..#.##...###.#..##.......#.#......##..####..#.#...##.#.#..######.#..####..#...###..##.#..#..###.#.#.##....#..#..###..#.###..##.#.##.###.####....#..##...#....###...#.##...#.#...##..##..####....##.....#........##.....#...#.##.#..#...#####.#.#..#..##.#.##.###....#.....#.#.###.###..###.##.#.#.#.#.###.#####.#####...#####.###..##.#.##.##.####...#.#.#.##...####..##.##..#...#......##....###..#.#..#.#.
##..#..#.#.#...##.#.#.##..##.#....#...###.#..#.#.#..#..###.#.##.#.#.#.##.#..####...#...#..#.###..####.#.##.#...#.#...####..#....#......##.##.##.#.#.#.#...#.####.#..###.##...#..###.#.##.####..####..#####.####..#.....#...###.#.#..#.##..###.###.###.#....##....#.#...#....#....#####..##......#..#.###..#..##...#..##.#.#.#....#.#..###..##.#.#.#..#...###.##.##.######..##.####.#.#....###.###.#.#........#...#.##.##..##.##..#....##.###.#...#.#.#..#..#..##.#.#....#..##.##...##....##..#.###..#..#.#...#.###......#...##.#.##..###.##..#.#...###...##...#.##.#....#.........#.#.###.##.#####.#....#..#.#...#..#..#...#####.###.#...##.....##.###...##.#..#.###....##.....##.##........#...#.#..#..#######.#.#.###..#.#.....##.###.#####.#..#.#.#.#...#....#...##.#....##.#.##.#..#..#..#.#..##..#...#.##.##.##.########.#.#..#...##.#....##...#.#.##...#.##...#........#.#.##..##.##...#.##..###..#.....#..#..##.###..##.....#.####.#.#..##.#..#..##.########.#####..###....###.....#.####.#.#.###.#..###.#.####.#..#....####...##..###..#.####..##.#.....##..######.#...###...#..####..#....#.#.####.##.#...##.#..#..#.##...##.#.##....#######.#.#.##.#.#.#.#.#...#....#.#.#.#..###.#..#.######.#...#.##.#.#..#......#...#.#....##...##......#####..###.#..#..##..##..#...#..##.##..#.#..##..###.#..#.#.#.#.#.###.#.#....######.#..###.#...###.#..##....##..#..#.#..#.#..#..#.#.#.###..##....###.#...##...##.##..##.#..##..##...##.##.....#..#.......##...#.##.##....#.#####.##.##.##.#....#..##.#.#.#.#.###...###...######.#..##.####...##.##.####..###.##.###.....#.##.#.####...##.#...#.#.#..##.#.##....#..###..##...#.#....#####.###.#...#..#.#...##..##....###.....##.......##..####..#.##.#.#...#...#.##....##.....#.#.#.##.#.#.#.#.##..###.####.##...#......#.....#....#.##.#.#.##.##.####.#.####..#.##..##.#..#..#.#.#...##.....#...#.....##....#.#.#.####....###..#.#.####.##.#..##......#..#.###..#..#......###..#.###..#.#.#.#.##.......###..#.#.##.##.###.#.#.###....#....#####..###.#.##.####.#..#.#.###.###..#...####.....###..#.###..###....#####....#....
.....##.##..#.######..#####.###.###..##..##.....######.####..##.##.#..##..###..#.#.#...#...######.###..####..##....###.#...#.####...........####..#...#..#.#.#.#.##.##...#.##...##.###.#..#..#.#....#####..##.....#.#..##..#####...###.##..##....###..#########.#.....#.#.#...#..#.#.##..##.#.###..#..###.#...#.#..##.#####.#.#.##..#....###..#.##.#...###.#.###.##....##.#....##..###.##.#.####..#####..#.#...###.###.......#.#.##...##.######.#.##......###....##########.#..#####.###.########..#..#####...####..#..#..####.#.#..##...#..#.#.#....#####...#..#..#.........##..####..##.#.####.##.##...##...#.######.#.##...#.#..##.##.#....###...######....##.#.#.#...#.##.#..#######.#.####.#...####.#.##..#.#.#..#....#..####.##.####..######.#....##..#....#....###.#..#...##.##.#..#..#.#.##...#.####..##.###...#..#..##...#.#.##....#.###.##.##.##.#...##.#.##.####.#.#.###..#..#...####.....###.#...##...####...#..##.###....#####.#.#..####..##..#....##..#....##.###.#...#.#.#.####.#..#####.###..###.#..#....###.#...#...#......#...##.#....##...#.#.######.##..###..###.#...####....#...##.#....####..####...#.....##.#.#...#.########.####.##...#..#...#...####....##..######.##.##.##.#..#####...#..#....####.###....#.##..###.###.......##..#.#..###.##.#.#.#..####.##.#..####.#.#####....#....##...#.##..#..#.###..###.#.######.#.##...##.####.###.#...#.##.#......#..#..#.#...####.###..#####.##..#.#.##.#####...#.###..#.######.#.#..#.#...##..#.######..##.##.##..#.......#.###.##..##..#.##.....###....#..#..###########....#.##.#.#..#.###.#..##....##....########.#.#.##..###...##..###..#...#.#.#..#.#...#.....#.####.#.##..#...#.###....##.#.##.##..#.#.#.#...#....###.#.##.#.#.#.#......#......###..#.######....##.#.#..##.#.#...........##.#.#.#.#.######..#####.#...#.####.#..####..#.###.#.###..#.####.....####..###.#...#.#####....#.##..#.##...#..#.####.#....##.#####.##.####.#####....##..#..#....##...#..........#....###.#..##.#.###..#.###..###.#.....###..####..#####.#.#......##..##.#.#...##.##..##.##.#.###..##...####.#..##..#.#..#.###
#.#.#.#.#.#..##.####.#...####.....####.#......#....##.#.#.#..##..#.#####..##..#.######..#......#..#....#..#.#....##...##..#.##....#.###..#.#...#.###.##..#.#.#.#.##....#.#.###.###.#.####.###.....####..########..##.##.###.###.#.####.....##.#..#.##.#.#...###..##.#...#..##..##.##.##..#...#..##..##.#......#..#.#..#####....###.#############.#..##.#.##.#......######..####.##.#...##.##.##..###..####.#...##.#..#..##..#....#.#.####.##....#.#.#.###....#.##.#....##.###.#....#..#..#..#.#.##..#.#.###.###....##.###.####....#....#.#.#####.#####...##.....#.##.###.#.##..#.......##....##.#..##..#.....###..#.#.##..###.#.#.......#..#.##.#.##.##.#.#...####....#...#.#.#.#.###...#.####..##..###...#.##..#####.####.#..##..###.##..#..#.####.....###...#.#####.#........#..##..##.####..##...#.#.#......#.##.#..#.###..###.##.#.....#....#....#.####..#.##..###.#.#.##.##..#....####..#......##.#######..#..##...#..####.#.###.#...#.##..#.#.##.##.##.######.#..#.#.#..#####...#...##.#####.#...##...###.#####...#.##.....####...#..#..#....#.#.#...#.##..##..#.#.....#####.####...####.##...##.#..##.###.#........##.#.#..#####..##.##.#..###.#..##.#..####..#....##..##.....#.#..#..#.#..##...#..#.##.#######.#..###.##.#..##.######.#....#.#.###.#.##...##.###.#.#....##.#.######.#.#.#......#..#..##..##.#.###.#.######..####...##..##..###.#...###....###..##.#.##.#.#.....##.#...#####.#..#.##.##.#.#...###.#....#.#.##.#.#...##..#..#.#...#.####.#.####....#..####..#.#.##.......##.#.######......#...##....#..#####.......##...#.##.########.#.#..###...######.#.####.##.###...##..#.#.......##...####..##.#.........##.#.#..#.#.#.#..#....##...###..###.#######.####....##.#....####.....####.#.###..###..#.#.....#..##..##...##.#..#.##.#.##......#...#.....###.#.##.####.#.#..###....#.#..#.....##..#..##.#.......###.#####..#..#..###...####.#..###....##.###..##..#####....#.....#.#...###.###.#..##.##.###.##.#...#......######.#...#...##........#.#.#.##...#..#...##.####....###..##.#......#.......###.#..#......#####.###.#.###.#.#.....#.##.##.#.....#
###..#.......#.######...##...##.###.###...#..##.##....###..##.#.....#..#...##.#.#..#.###.####.######.##..##..#.#..#...##.#.#.##.###........#.#..###.#......##..##.###.#...###..#..###.###..###...##..##...###..#...#.######.###.######..###.###....##..##..#.##..#.#.#.....#...#.##...###..####.######.#..##....#.....#.####..#.#.####.#.....##.####..#.#####..##.#.##...#...######....#.#...#####..#.#...#.#...##..#.#..##..#..#......#.#...#.#..#..##..##...#.######.#..####.#..#..#.###..#.#..#.#####..#...#.#..#.##.....#.##.###.###.#...####.#..#..#..##.#.#...#.####.#.#.#.##.##......#..#.#..#.#####.......#.....#########.#..#.#.#.#.###..#.#.##......#.###..##...##.#.#.#..##.#....#.##.##.##.####..##.#.##.#..##..#.##.#..#..##.##.#..#..#.#.###.##...#.###...#.##.##..##...#.#..#..#..#.##...##.#..#.##..######.##.#.##.#.##.########.##.##..##..#####...#....##....#.#####...#...#..#.##...###..####...#...##.......#.##.###.###.#....#.....#.##.#.##.##.#.........###..#.#.###...#....##.....#.#.###..#.##.#...#..##....#.####.#..#..#......#..#.#.####..#.#...##..#...#.#...#.#.#...##.....#...##..#...###.#.#.##...##..##..#.##.####.##.###...#######..#.###.###.###...#..###...#..##.#....###..##.#.##.##.#.###.##..##..#.##.#.#..##...##..##.#.#.###..#..###.#.....#.##.........###.##..###.#..##..#....###.########.........#....#..##..##.###.#..#.#.#..#.#.###.#...#####.#..##...##.#.#.#.##.###.##.#.##....###..#..####..#..###.#.##.##.#.##.###..#.#.##.....##...#.##.#####..#.#####...###.#.####..#.#..###.##.......#..#.##..#....#..#####...#..#..#..#####.........##.#.#.##..#.#..#.#.###.#....###..#...########..##.#.#.#.#..##.#....#.###.#...###.##.#...#####.#.###.##.#.###.##.#...#...##.#####..##.#...#.#.##..###...#####..#..#..#.#.###.#...######...#.....#.#..##..#..##.#.#...#####.####.###..#.##.#.##.#..#..##.###.......#...#...####.##.#..#.##..#.#.##..#.#...#..##.####.###..###.#.#.#.#.#..####....#...###...##..#..###.#####.........####.####.##.#.#.#######...#..#.##...#..#..##...#...#####.#...##.#...###..##########.##....#.##..#
.#..##.#.#...##..##.#.#.##.#..#..####...####.#####.#.#.##.##########.##....###...#...#.#..#..#....#...####.###..........##.####.....##...#..##..###.#######.....##.#..#.##.###.###.#..#.#..##...#####..###.##....####.#.#.#..##.....#.........#....#..#.#.#..##.#######.#...#.#..####..###.#.#..##.##..#.##.###...#.#.####..#........#..##..#.#.##.##.#...####.#...###.##....#...###....##..#..#..#.###..#.####.##.#.###.....##.##..###.##..#.#..#........#.#.#....#.........#.#..####.#.#.#.#.#....#####......#.#..#..#...##.#.##...##.#.#####.##.#.##....#.####.#####.#..#..#...#.#..##..#####...#.##..##.#...####...####..#..#..#..##.#.#.....##.....##.#.##.#..#.#.#.#..#.#..##.##.#.#.#....##.#....##.##...#....#.#..#.#...#.......###.#.......#..##.#..######.#.##...##.##.#..#####.##.#..#..#.##.#...####...##.#..#.#..#.#.###..###.#.###.#####.####....##...#....####.#..#.##..#...#.#####.##..##.#....#.##..#.##.#......#.....#.##.####.#.##.###.#.#.##...###..#..#.##...#..#..##.#.##.##......###..###..#####...##....##.###.##..####....##.#.#.#.#.###.##.#.##...#.###..#####..##.##.###..#..#..##.#.###..#..#.###..##.##.#.#...#...##..##.#...#...##.#..##.#....#.....##..#.#.#.#.#.##.#.#...##.#.##.####.###...#..#...#...###.#.##....#..##..#..####...###.#.#.###..#.####.......#...#...###...#.#.####.##.#.#.....#.#.##..#..##.##.#...#.##.#...###..#..#.#.....###.#....##.####.##.##.##.####....#..##.####.#..######..####..#.###..#####.##.#..#..#.#######..#####..#.#.####.###...######.####.##.#..#..##....####.#..##...#..#.##..#..#.#...###....##.#.##.#.#.#####.#..#.####.##.##...##.#####.....####.##........##.#.#.#.#.##..##.#...#..#.......#.#.#.##...#.##......##....#....#.#..#.#.#####.#.##.###.#####......#.###..#.###..#.#....#.##...###.#..#.#..#..........#.#.#...##..##.....##.###.###.#..#.######..#.###..#.#.#.#...#..#......###.#.#.#####..#.#.....#....#..##....##..#.###..#...##...##.##..#..#..##.####..##..##..#..##.#.###..#####.####..#...##.#.#.#....#..###..##.##....#.#.....#.###.##.#....###.####..#..####..##.##..##...#...####.
#.....#.#...#.#..#.#..###....#######.....#.#.###..#....#..#.###..#.#.#...##...#...#.##.####..###.##.#..#...#...##.#........#.#..#..###.....##..#.##.##.......#.##..#......####.##.#.#####.#.##.####.##.####.###.##.###.##.#.#..#.#...####..#..#.#..#.####.#.#.##.#.....#.####.#.#####..####..###.#..#.#..###.#.#.#.##.#####..#..#..#......#.##......###..##..###..#..##.#.#.#..##.#...#..##.####.#..####.#.###..##.###..##.#..###.####.####.##.##.#..##.#..#...###.#.##.###...#..#.....#.#..###.##.###.##.#.#..#.#..#.....##.#.##.....###.##.#....#.####...###.#.##.##.#..#.##.##...##.....###.###.....#.#.....####.#....##......#.####.#..#.###.#..#.##.#.#...##..#..###...##..###.###.#....##.#.###.##########....#.....###......###....#..#.#....#####.##.....#..##.##..###.#..##.....###.##..#.#.#.....###..###....#..#.###..#..#.#..#.#####.#..#.#.#.##...#.#.##...#..#..####.#.....#.######.....#.#.#.##..#.####.##..#.#....####...###.#.###..#..#...#.....#.#.#.....##.#........##...#####..#.###.#..##..#.#.##.#...#.###.#.####..#####...#....#.#.##..#..#.....#.#.#.####...#.#..#.###.#.####..##.#...###.#.###.###..#.##.#.....#....##..#.##..##.....#.#.#.##.##.#....###..##.#...#.##..#..##..#.##.#.##..#.#..#...##.#...#.#.##.#######.##.#.##..#####.##..#..####..#.##.#.##.....#.##.########...#######...#..#..#..#....##.#...#.#.........######.#.#..##..##.#.###..#......##..##..###.#...##.#...###..#...#.####.##..#.#.######.#.#.#...###.........#.#.###.###.....###..##.#.########.##..######.#.####...#...##.#.....#..#####...#.#####...#.##.###.....###.####.###..##.##...###.###..###....#.#...####.###..#.###.##...###..###..###.#.#.#....#......#..#....#..##..#########...#..#.######..#..#.######..##..#..#.#.#####....#..#..#..###...#.##...#..#...#.#.##.##.##.###.#.###..#.##.......####.#.#####......#.#.##..#.#.....#..#.#......####..####..#.#.##..#....####..##...##.#.....##..##.###.#.#...#.#.##.#####..#..#...#.###.....#...#..#..#####.####.....#....#.....##.##..#.#....#.#............#..##.#.###..#.....#.#..##.##..#.##.#####..#..##...#
......#...#.....#.....#.#.#######....#...##..##..#..####.####.#..##.##.#.#.#.#####......####..##....#.##.#...#..#..#.####.#.######...#######.#.#......#..#####.#..#.##.#.##.#.#.#.##.##...####.#.#.##..#.###....#..######.#.#...##.....#.....#..##.#.#...###..##..##...###..##.#..#.#.#..##.#..#.#...##...#.#.#.#..#.#.#..#.#.#.##.#.#...#...####.####.....##..####.###..##.#..####.##.#..#..###..##..##...###.#..#..####..#..##.###..##..#.##....##.#.#.###.##...#..#.###..###...####.#..##.#.#....##.#.#.##...#####...###...###.##.##.##.##.#.#.#..#.#.##.#.#.#.###..#.#.....####...#..#........#.##.#..###.##...####....##.....#...###..##...#...##......#...###.#.#...##..###.###.####..##.#..#...#.#..#..###.#####.##....#..##.#.#..#.#..###..#####.###...#...........#..#...#.#####.##.####.....#.#.####.##.###.###.##.####.###..####.##.#......#.#..#...###.#.##.##.##.#####..#..#..###..........#....#.#####..#####..#..#.....##.#..##..#.#......#.##.##..##.#....#...##.###.####.#..#.#.###....########...###.#..#####...##.##....##...###.#.#.###.....###.###..##.#.#####.##..#..##.#...#....#.##.....#.###..####.###..###..##.#...#....#...##....##...##.####...##..###.##..##.##.####.####.#...###..#...###...#...####.#....#..#.#....#.##.###..#.#..##..######..#.#...#.#.......###.#.#.###.###.#...###.##...##.##.#..##....#.##.##..##...#.#.##..##...##.#.######.##.#.#.###.#..#...#.###...###...#....#.#.##.....##.#.##.#.#.#..#....#...###.#.#..#.########.#####..#..##....#.#.#.##..#.##......#.#.....##.#.#...#.##..#.##.#..#..##..##..#...#.##...####.#......##..##...#...###.#.#.##..#..#...#.##..#.#..#.#..#..#####...##...#..####.#..####.####.....##....#.####..###.##..###....#..#.####.##....#.##.#......#..####...#...#.###....#..############.#..##..##.#.##.#..#.##.#####..###.##.#...#.....#.#####.#.....#.#..###.##.#.#.#####....#.##..#......#.##.##.#...#.#.#.####..#.##.######..#.......####...###..#..#..#.#..#....##.#....##.#.#..###.#.###.#.#..#...##.##...##....##....###...####.#.##########.##.#...##.##..#...#....#..#...###.#.##.####
.#..#.###.#.#...###...#####.##.#..####.#.#.......##.##.#.#.#.##...##.......##.############.##.##.#.#.##.....#....####.##.######.##.#.....##.###..#.#..#.#.###..#.#..##..#######.####........#.###.#...#....#######.##..###...#########.##.#..##.#.#.###..###..#.###.#...##..#....#...#.......#.##.#..#...#.##.##....#..#.#..###.....#.....#.##.#......####.#..###..##..##....###.#####....#.###..##..#......#.#...###..###...###......#...##...#..#...##..#########.#.#.....#......#..#.#...###.####...###.##.##.##..#.#...#.###.####..##..#.#...###.#.#.#....#.###.##..#.....##..#....#####.##....#..#.#...##.######.#...###....###...#..#.....##.#..###...#.##.#####...###..#....##..#....###.#.#..#.#....#...#.####...#..###..###.#.###..#...###..#..####....#..#.###.#.#.#.....#..##.##.####.####.#.######...##.#.##.##.....###..#....#..###.##.##....#......#...##..####.##..###..#.##.##.#.###.#..#.###.##..####.....#..####.##..#.###..#.#....#..........#.#...##.#.######...#.##.##.##..###........#.#.##.#..##.#..#..##.#.#.###.#.#.....##...#.....#####.#..##..###..#....#....#.#.##.....##...##.#..###..##..###.#..####...##.#####.####..####.#.#.#...#...#..####..#..###.##...#.###.##.#########...#########.####..###.##..##...#.###.#.#.###..##.#.#.#....###..#...##.#....#####.##..#.####.#....##.#####.#######.#.####..#...#..#..###.##.#....#.######..###...###..#.####....#..#######..#.#.......##..###...#.####.###..##.##.##.##..######.##..##..#..##.####..#####.#####..###..#.......#..#...#.#.#.#.##....##.##.......#........###.###.#.###....##.#.###....##.##.#..##.###.#...##...#.#...####.##.#......##.#.#...##...#.##...###.#...#.###...##.##..#....####..###....##..##.#..#########...#.##.#.####..##.#.#...#.##.#.....#..#.....##.#.#.#.#.##..#.#..##..#....###..###...##..###..#.####.#....##.###..#####..#...#....###.#.#.#####.###.###.###.....##...#####..##.#....#..###..##....###.#.#.#####..##.###.##..##.#.##.##..#.##....###.#.##...####....##..#..##.#.....##.##..#...#.##....##.####.....#..#.#######.#..######..###..#...###.##...#...
###.##.#..#.#.##.....###.....##.#.#..#.........#..#.##.###..####.#..#....#......#...##.#.###...#.#.#.#.####.##.##..##....#....###.###..#..##...#...#.#..##.###.#.#####....#.#####.#.....########...##....#....##.#...#.#.#.#...##...#.#.#.##.##.#.#########.#...#..#.###..#...#.##.##......####.#.####.#####.###.#.##.#.##...#....#.#...#.#.#.##..##...#.#####.#..#..###..#.#.#.#.##.#####..#..###.##.###..#.#..##.#......##...#.##.#####.#..##..#.##.#...##...#....###.#....##.#..###.#.##.#..##.....##.#.#..##....#......###.#.#..#....#.##.##.##.#####......##.#...##..#.##.#..###...##...#....#....#.######.####..#.####...#####.#..##.#..#.#.#.####.###.#...##.##..###...#####.#####.#.#...##..#.###.##..#.#.##...#########.#....##.#.######..#.#.##..##.#####.###........###.#.#...####.##...###.####..###..#.#..#.#..##.#.....##..#.####...#####.####.....#...#.#....###.##....#....###.#.#.######...#.#..####.####.#......###..##....##...##....##..##..##...###..##.#.#.#.###.####.###.#.....##.##.##.#.#.##..##.#.###.##.#.#.####..##.#####..#.##.####..#.#...#.##.###......#.#.#..#..###.#..#.##.#...#.##...##..##.#..##.##....#.#..#..#..........#.#......#.....##.##.#..######.##.######.###.....##.#.##...#..#....##.###..#.#.#..#....####.####..#.###.#....#.#.#..##..#.#.#.#.##.##..#.#.##..#..#..#..######..##.##..#..####..#...#..##..####..#####.#..###.#..##..#...#.###.##.....#..##..#######.#...#.....#..#####..##.###.#..#.#.######..#....#.#....##....#.###....######...##......###.##.#....#.#.####..#..#.#....###.....#.#.#...##..#..##..##.#.########.#.#..##.####....#..##.##...#..#.#.#.#######.##.....##..#..##...###...###..##.#...##.##...####.....##.#....#.....#..#.##..#.#......#.##.#..#.#...#.##.....#.#..#.##.#.....#...##..##..######....#..#.#..#..#.#.....###...#..###.....#....##..##...####.##.#.##..#..##.#.#.###..########.#.#.#.##...#.####..#..##.#..#.#....#.##.##.##....##.#..#.#.....##..##.#....###.##..#.##.#.#...##..#..#####..####.#...###.#.....#.#..#.###.###.##.#..#####.####.#.#......#...######.#.#..#.#..#..#.......
##.#.#.#......##..#####.##.###......###.#.....#..#.###...#.#.##.....#.###.#..##.#######.#.#.###.##.#.#.##.#.#.......##.#..#..###.####....##.#..##.#..#.#.####...####.#..####..#..###...#.#.###..#.....#...#.#...###..##......##..##....##...#.#.#.#..#..##.#.###.......#####.#.##.##.######.##.####....###.##..##.#....#######....###..#..#......###.#..#.####.#.#.#.###...#..#..###....#...#######.#..#.##........#.#.####.#..###.....#.........##......#.######.#.###.##...#..##.#...#.####....##..#..###.#....#####..####...#.#.#.##...####...#..##.####.#.#..##...#...#####.#..#.#.#..##.##...#...#.#.#.#..####..##.##.##.#.####.....###.#...##...#.....#..##.###..##.###.#.#.#.###.##.##...##.#...#......##...#.###.#.#.#..#.####......##.##.#.##..###....###..#......###..#..####.##..##..#...#.#..#.#.#.###..#.###..##.#...##.####..##.#####..#.#....#...##.####...####..####...#..#.....##.#..##.###.#.....#.###.#.###.#####.##.#####.##.#######.##.##....#.###.#.###......##.##.##.#..#.##.####.##.####.#..##.#.##...#.#.####.#.##.#.#.###.#..##...##.#.##.#.#.......##.####..#...#..####..#..#.............#..##.....##.#..#..####.####..#.#.#..#.###.#.#...#..####.#..##..#####...#...###.####..###...####.##.##....#....#.##.###...#..##.#...#....####.#....#.#.##...###.###.###......###..##..#..##.#....#####....###.#..###....####..#.###....#.#####....#..####.##....###.#.#.#.####..#.##...####.###.##....##.##.###.####..###...#.#.#.##.##.##.#....#..#####..#..#.#######.#...#.#....#..####.#..#...#.#..#.#.####.....##.#..##.##..#.###.#...##..#...###.#...##...##.##.#.#....###..###...#...##.########.#.##.#...##.#.#.#.#.###..##..#.#..#.#.#.#...#.#...###..##...#..#.#.#..###...#...###..##.#...###.#..#.#####.########...###.###.##.###.##.##..#..#.########..##.##..#..#...#.##.#.....##.#.#.##...#..#.#.######...#....#.##.#..##..#..####.#.#..#..#.#.####...##.##...####.##..#..#.#....#.##.###...#.###.####..#.#.###.#..#......#..##..##.....#.#.#####.#...#.#.#......#.#..##..#.##...#...##.#.####.#..##.###..####.#.....#..#..#.###.#....#.###.#.
.#.####..#...###.#....#....#....#.####..#..#.###..#.#.###..###...#....#.#...#........###...##..###...##.##..#....#.#.#..#.#....###..#.##.##...#..#.####..#.#..##..##..##..##..##..#.#.###.##..##....###.#..#..##..##....##....#.#..#..#######.###.######.###.#..#.##..##....#.###.###..##...##..###.#.#..#.##.#.#.#.###..#....##...##.####.##..##..#..#####.##....###.....#.....##..#......#####.###.###.###.#.#..###...#####.#.#.##.####.#...#.#.#.#..#..#..#..#.##.#......#.#...###...#.#..##..##.##..##.......#.#..##......#..#..#...#...########.##..####.....#..##...#.##...#.#..#.##...#..##.#...##.#.##.#.#....#..#.#.##..#.#..#..##......#.####.###..##.###.#.#....#.#....#.#.##....###.##.....###..#...#..##.####.###..#..##...#..#..##..#.#.####..##.#....#....###.#...##...#...##..#.#..#..##############.##..##.#.##..##...#...........###...##...#....##.#.#..#..#.##.#..##..####..####...#####..#.##..#.#...........#..#..######...#.#.##.#.#.....#.#..##.#####.####..#.###.####...#.#.#..#.......#...####..##.##.#.#####......###.#########.#..###.##...#...###..#####..####.#.##.#.#..#.#.#.....##...##.###.###..#.##....####...###..#.#.###.######.###..#.######.###...#.#..##...##.##..##.#...#...##..#.#..#....###...#.##..##.##..#.##.#..#.#.#####.#..#...#...###.#.....#.#.####.#..#..#.###.#..#....#.##..#...##.#.####...#...#..#....##.###..##.####...#.####..#.....##..#.#....####.##.###.#....#.#..#.#.#.#..#......###...#.#.#.###...#..#..#.#####.##.##.##.#.##..#..#...#..#.#.#..#..##.#...###.##.....##.#.#.#......#...###.#####...#.#....###...#####..####...###.#.#.##..#...##.##.#.#.#..##....#.#.#....#...#.#.##...#.##..##..##......#.###.....#.###...#..##......##.#..#.#..#.###...###..####.#####...###...####.#.##.#.#.##.##..#.#...#.#..##...##..#.##.#..#.###....#####.######.#..#.##...#.....#.#..#....#.##..#......##..##.#.##.......#...#.####..#....#.#..##.##.#.#.####.##....##..#...#.####.##.##.#.###.....###..#.#.#........##...##..#...##..#.#.#.#..#..##.#####..#..#.#..##.#.##...#...#...###....#.#..#.##..##.#.#.##.##........
.##....#.#...####...##..###.#..###.#.######.###..##.###.#..#..####..##..##..##.#.##.###...##...#..##.##.##..#..#######.##...#.#...#....#..##..##.#..##.##..####...##...#..#.####...###..##.#.##..####.##..#......##.#..##.#.#...####...##..#.##....#...##.#....#....#..###.#.##..###....##.##..##.....#.##....#.#.##.####.#.####.#.#..####.#....#..##..####....#.#..#....###.##.#.#.#.#.#.###.##..##.#..##..###.#.#.#..#.#..##.#.......#....#.#......#.##.##.......#.....###....##.#..#.#...#####.#.#...#########.###..#...#..##########.#..#..#..#.....#.###......#####..##...#.#.#.#.###...#..#..#...##.###.#.......#.##.#####.#.#.......#......#...#..##.#..##.#..#.#...#..#.##..#...####..##.#.#..#.##.#....#......#.#..#..##.#.#..#..#.....##.#....#....##.#...###..###.###.#...##.##.####..###.#.....#....##....#.##...#...#.###...#.##.###.....#####.###...##..#.##...###..#.###.##.#...###...#..##.#####..##.##.###.##......##.......##.#.##.###..##.#.##.###...#..#..####..##........#.#....##.#.#######.#########.....###.#.###.#.#.###.#..#...##.##.###.#####.###.....#..##....#.##..#####...##..##...##.##..#.###.......#.#..#.##....###.##.###.##.##.#..########..#.##.#.##.#....#.####..##..#.##.##.##.#####.#.#..#....####.##..#.#####.....##..#.##.##..##..#..###.#.##.#.#....#.###....#.##..#...####.##.#...##..##..##.#.###.#.##....#..#.###.#.#..#..###.####.#..#....#..##...###.#..###..#..#..###.###..#.##.##.#.####...#######.#####.#.###.#.#.######..###.#.##...##.###....##.#.#.#.#..##...###..#..#####.######.#.##..#...###....##.#..##..##.##...####.####...#.#.#.##...####..#.#..#.#..##.##...##..#...##.###..#...######..#.#..###.###..##..###.##...##.###....###...#.#...#.....##.##.#...##.#..##.#.#..#.##.##..##..###.....###.##.##...##.##.#.##..##....##.##.....#.###..#######....###.##.#.#.####...#..####.#...#.#......###..#.....##.#.......#.##.....##...#.#...##...#...........###..##.##########..##.#..##.#.#.#####.#..#####...##..#.#####.#..####...########..#...#..######..#.######...##.#..###..##...###.##.#...##..##.#.###...##.##
#.#..#..####..#.##..#..#....#.####.#.#.###...###.#..###....#.##.###...#..#......###.####....##.##....#.##.#.#.#..##..#.#.#.#......#...###.#.##.##...##.##.##...#.#########....#..#####.##.#.#.#.#####..##..##.#...###......####.##..#.#......#.#.##.#..###.#.###.###.#..#..######.##..##.#.#..#.###.##...##.#..###..#.#..#...#.##.##.##..#####.######.##..##..#.##..##..####.##...##..##.#..#..#.#........#....#..#....####.#..##..###.#....######..#......#....#.#.#.##..#..#...#.##...######.###.....###..##..##..#.#...###..###..#...##.#..##......##..##.....#.#...#.##...#.####..##....##...#...####....#...###.##...#..#.###.##..#.###..#.....##..##..#.####...###..##...#####.#####..##..#.#####.##..##....#....###.#.#.##...#####.#.#.#...##......#.#.#.###.#.###.#.#.#.#.##..#..###.#.####.#.####.##.####.###..####.#.#.#.#..##......####..##.#......##..#..###..####..####..#.###.##.#..##.#...##.#.##..#..#.#.##.##.########.##.#......#...##..#####...###..####.#.#..##..#####...##.##....##.#.#....#..#..###.###....##..#.##.......####.####.....###.#..#..##.#.###..#####..#..#..#.#.##..#.....###..####.#....#.#..##...##.#.#.##.####..#...#.##.###.#...#...##...#.##.#..##.#.#..###..#.###...#...###.#.#.....#####..##...#.###..###..#..##......#.#..###.#.#.#.#.#...#.##.##.#.#..#####.###.#...#..#..#.#.##..##.###..##...#.#.##.##..###...####..##.####..#.######.#####..###..##..####....#.#..###.####..#...#.##..###..##...####..##.#####.##.......#....#..##.#.#.###.....#####.#..#....###...###.###...#######..#..#.##.#...##...###...##.#.#...#..#........##...##..###.###..#.#.##.#.#..#####..##..#.#...#.....#.#..#...#..#..####.#.##......##...#.....###..##.#....#..#..####.#..##....#.#.....##.##...#####.....####.######....###.##.####.###...###.#####.#....#.#.####.###..##..#.##...##.#..##.#...###.###.#...###.#.##.####..#.#.##.#..#.#.#.#.##.#..##.##.#...#..#...##.##..##...##..##.#########.##...##...#..###.##...#....###.#.##.###..##.#..#######...#.#.#.###...##.#..###.#.#........###.##.#...#...#..###.#...#..###......###.###.#..##.#
.####.#.####..####...####.#.##.####.#.#..##.##...####..#..#..##.#.##.#####.##.##.###..#...#.##.##....##.....###.#..#..#.###..#.#....####.#.###...#..#.###.#........##.##.#####..##.###.#...###.#.....#.##.#..#....####..#.#.##..###..###..##..#...###.#..#.#..#...#.#.##.#.######..##..#.....#######..##.#..#.#.##.....##.#######....#...#..##...#.#####..###...#..#.##.###..#.##.#.......#..#####.#########.#.....##..#..#.###.#...#..###.###.#.##..##..#.##..##..###.#..###..#.####.#..#.###....#..#...#.#.#.#.##..#.#####.###......###.##.###.##..#.#.......##.#.##.#.#.#.#.#.#..####.#...###..##....####.#..###...#.##.#.##..#.###..#..#...###....##.#######..#.#.#.#.#.#...#.#......##...###.###.#.#.#....###.....##..#.###.##...#..###.#...##.####.#.##..#....#..##.......#....#....#.#....#.#.#.#..##.#.#.##..#.##.#.##.###..##.#....#.#.#..#.##..######.##...##..##.......#.###.#..##..#.#......#.....#######.##.#...#.##..#.##...#####.#...#####.#...##.#.###...##...#..##.#.#.#...###...###.######..##...#####.##.####.##.#####..#...##..#..##..#....#.##.#..#.#.#...##..##...##.#.#######.#..#..#..##...##.#.#.#.#....##.#####...###..####.##....####.##...#..#...##......##..###...##.#.....##...##.##.#..#.#.##.#..######.#.######.#..#.##.#..#..#..###......#.#.##..#####....#..##.....##....#.#..#.##.##....###..#.####.#..#...##.####..##.#.#######.##..#.#..##.#.##.##.##..####.#...#....##..##...#....##...#..#...##.#...####.#.#..#.........#.#....#.#.##..#..##...##..#####..###....#..##..###..#.####..##.###.#.###..##.#.###..#.##....#....###.#..####.#....#.#....##..#...##..##.#.##.###.####..#.#..#.##..#..#...#.###.####..#.##.#####..##..##.######.######...##.#.#.#....#..#.##..####..#..##.#####.##.##.###.#..####.#.#.####....#....#..####...##.#....#.##.###.##...#######.#.#..#..##..#.##..####.#..####.#.#..#.###.##.#...####..##.#####..#.#...#####.#.#.###..#..#.#.#.########.########.#..#.###.#...###.#.##..#.###..#.....#.#.##...######..#...#...#####.#######..###.#.###.###.###..#.###.#.#.#.........#.##.#.....##..##.#..#.#....###.##
..#..####...#.##..#.###..####....##..###....#.#.##..####..###.#..#...#..##...#.######..#.##.#####.#...###.#.##..#.##..#.#.####..#.#..###...##..#...........#...####...########..#.#.##...#....#.#.##..##...##....#...###...#....#....##..#...###.#..#...##.#...#.#.#..####.#...###.....#...#....#.#.#.##...#######..##...#..#..##.#.##..##.##.#.....#.###.#.####.#.###....#...........##.#..##.###..#.####..##.###.##..#.#..##..#.###.#....#..#.####.##..##...##..##.##.##.##.########.##.###..###..###.##.###.#.#.###.#......#.#.#####........##....#...###..##.##.###.#.#.##.####..##.###.#...#..#.#..##.#...#.####....#.#.#..#.....#.##........#####....#..##..##...####.#.#..#.#######...###.##.##.#..#...#.##.###.#.#..####.######.#.#..##.##.####.....#.#..##..#####.##.#.##.#..#.#..#.###.#.##.#.#..###.....#..#.##.......#...#..#.##.#....#...#...#.#####.#.##.###.##....###.#.##..###...##....#..###....#.####..#.#.#.#.###.###.##.####..#......##..#.###...#####.#..#####.#.##..#.#...###.....##.###.#.#..#.....#.#.##...#..#.#.###..#....#.##.###..###..#.##..###.##.#.#.##..##..##..####..#.##.#.####.#.#...##..###.#.###..#.#.#.###.....##..##.##....#..###.....##.##.##..#...###..####.###.#.####...###.#.#..#.#.#.###.......###.#...#.######.##.#.#...#.#.##.##.#...#....##.#....##.#.########.#.##...##.##....#...#.#..###..##..###.#...#.#####.###.#......#..#.###.##...##..#..###.#.#.#.#####..#.##.#..##..#...##..##..#.####...##..##.#...######.#...##.....##..#.#..#.##...#.....#####..#..#.#..#####..#.....#..##.######....###..####...##.###.......######.#.....#.##.#...#..####.#..#.##......##.#.####....##.#..#####......#...#.#...#.##.##..##.##..#.#.##.#.##..####.#..#.##..####.#.#...#..#.#.###.#.#.....###..#.#.#...#..#...#.#..#....########.####..#.#.##..####.#.###..#.#####...##.#..####.##.........######...######.#..#...#.###.#.##.#.#.#..#.#.#.....#..##...####..#.....##.###....####.##..##.####..#.##..#.#..#..#..#..####.##.#####.#....##..##..###...##.#.....#.....#.##.....#.####.....##...##...##.#..###..#.##.#####...#.#..##..#.#
#..###..#####.#...........#..####.#.#.###.###.#####.#..##...#...#####.#....#......####.#.#######.##...#.#####.##.####.#..##..##.##...#..####.####.##....#...#..#.######..#..######...#.####.##...##.####....##.##.#######..#.#...##.##.###...##...#.#.##.##.....####.#.#.#..##...##.##..##.#..#..####..#..#......###.#........#..##..#.#.#.#.#.####..##.####..##..##..#.#..#.#.#.....###..##..##.#....###.#..####.####.#.#..#...........#...##.##..##...####.##...#...#.##..#...###..#..##....#.##.##.#..#.#...##..####...#.###.###..###.#.##..##...#...###.#..#.###..#....#####...#.##.######...###.######.#.....#.##.##.####.#####..#.#........##.###..#.#...#..#.#..###..##....##.####.#.#.###.#......#..#####.......#.#..#.......#...#.#.#....###.#######.#.#.#...###...##....#.##.#.#.##..###.##.##..#####.#.#.#...#...#.#..#..#......##...##....#.#########.#.#.#...#.##.##.#####.##.###...#...#.##...#.....##..#..#####.####.###.######...#..###.#.####.....#..#...###.##......##.###.#.###...####....##.###.#.#..#..####...#..#...#.##..##..#..#####..###.##.##.....#######.#.#####.###...#.####..#..##.##.#...##.#..#.##.###....###...#.#.##.##...#.#..##...#....#.#..##.#....##..#...##....####.....#....#...#..#...#..#.#.#..####.#####.##.#..##.#.#.#.#.#.###.##...#...##.#.#.###.#.###.#.#..##..#....#.....##.....##....#.###.###.##..##.#.#.....#..#..###..#......##.####.#.#..#.##.#.###..#.....####.#...##.#.###.##......#.###.#####.#....#.##...##....#####..#.#.#..#..##.....#..#.#####.##.##.#.#....#####.####..#....##.#..###...#.#..####.#.....#...#..####..####.###..#.##.#..###.##..#...#....#..##..##...#.##.##..##....#...#.##.#.....####...##.#..#######.##..#..####.......#.#.#.#.######.##.#........#.#.....#...###..###...#.#..#.......###.##.##......#...#.###...#..##.#..#..#.....#..#..##..#.#......##...######...#.#...#######.#.##.##...###....#..#.#.#..###.#..#..#.###.#..##.#..#...#.#...#..#....#.##...#.#..#....##..#.###........#.##.....##.##.###..#.....#.#.#..##.###..#.##..#.#....#..#...#.#.####.##.#.###..##....#.###.#####.#####.
...#..#.###..#...#.....#...#..#.###..#..##.#.#..#.##..#.#####....#..##.##..#..#.###.##...##.#.####..##..##....#.##...#..#.###.#.#.#..#####.###..#.###.#.###.#....##..#..##....#.#.####..##.....####.###.#...#.##.##.######....#####...##.###.#.....#.####.#.######.####.#.#.##..#.#....#.####....##.##.#....####.#.###..#..####..####.##.###.#....#.##.##.#..#....##.#......##..#.#.#..###..#...###..##.#...##.#....#..###..#.#.##.#...##.#..###.#.##....#..#..#.#...#.#..####.#.##..#.#..###....#...#####..#...##...#.#..##...#....#..#.#.....###..##.##.#.##....##...##.#..#...#..#.#...##.##.....#.#.#.#..###..##.###.###.#.#..#.###..#..#####...###.#..##...##.#####.#..##.###.#.##.###..#..##.##..##.#.####..##..####.#....##.##########.#...#.#.###..##.#..#.#.##..##..##...##..######.#.#.#.#...#....#.###..#...#.....##..#......##.##.....#..##.##.#.#...#....#...####.#.#.##.#.##.##.###.##.#.###...####..#.##.#..##.#.#.#..###.#.###.#.#####..##..##.#....##..##.#.##.#....##.###.#.#.#...#...#.##..#..#...#....#####...###...#...#.#...#.###..#######.##.###.###.##..###.#.####.#..##.##.###..#..##....#..#...#..#.#####.######.#...####..##...#...##..#####..##.#....#.##.####...##.#.##.#....#.####.#....##.#..##.#.###.#.#.#.#####.##.##.###..#....########.#..#.#...####..#..####.#..#.######.###......##.##.....#......#.#######..####.#..##.######.#.##.#.#..#.##.###...........##.#.#.#....#.#.#.#.....#....##....#.###.####...#.##.#.##.#.#####.###..#.#.##..###...###.##..#...##.#.##.#..#......#.###....#.#####.#..######...#....#.#....####..##....#.###..##.###..#..##...###..#......###.#.###.......#....##.....##....##.###....#..###.##.#####...#.#...#.#.#.###.#...###...###.####.##.#....##.##.########....#.####.####.#######...####.#.#....#.######.##...#....#.##...#..#..##......#.##...#.##...#.#......#.###.#.#....####...#..####.#######..####.#....##...#######..##......#.#.#...#...####...#.###.#.#.##..#####..#.##....#...#...#..###...#...#.##.##.#...##...###.###...#.##.#...##..#.#.#.#..#.#..#.##.#.#....#.#.###.####.##....#.#.#...#
..####...##...##.#.#.#.##..#.#.#####.#.##....####..#.##.#....#####.....##...#.###.....###.###.#..###..#.##.#.#.###.....#.#.....##...#....###...#.#######.##.###..##...#.###..#.####...#.#.#.#..#.#...#.###..#.#....#....#..#.#.#..#.##.#..#.#...#..#.##..##...##..#.#..###########...###.....#..##.#.....###..#######..####....#.#.#.#.###..........#.####.#..#...###...#.##.#.#...#.##..####.......#......#####.....##...####.##.#..##...##.#####......##.######.#.###.#..#.#.#.##.####..#.####..####.#..##.#..#...####.##.#..#..##......#..##.##...#..#..#.##.....######.##.###.#.####.###..#.#..##....##...#.###.#....####...###..###..##.####.#..#..##.#...##.....#.####.##..#.##.#.#.#.#.####..##.#.###.#..#.###....##..#.#..##.#####.###..#..##...#.#..##..#..#...###.##......#####..##.##..#..##..##.#..###.##..##..#..#.##.......##.####.########.#..##..#..#...#.#..###.#...###.##......##.....##.....#####..##..#...#.###.#...###..#.#.#..#..#.##...#.#..###....##.#..##.###.....##..#.#.##.....###..##..##..#..##.##..####...#......##...#..##.#..##...#..####..###..#..###....#.####.#..#..####..#.###..#.####..#.#.###...###.#.##..##....#..##..####...###..####.##..#.#.#..#....###.#.#..#.#.#...##......#....#.#..##.#......#.#..##.#.##.#...############..##.##.###.##.##.#.#...#.##.#..####..##...##...#.##.#.#..#.....#...#.##..###.######.##.#.##.####..##..#.##..#.####......#...###.#...##.####.#.#.##.#....##....##.###.##..##.##.#.####.#.....##..##.####.##.##......###.###....#.####....#.#...#.####.#.#.#.#######.#..##.##....#.#..###..##.##......#..##.##..####.###...#.#.#.#..#.#..##..#.#.############......##.##..#....####....##.###.#...####.###.#.#..###.#.....##.#....#...#.#.....#..#..##.######.....##.#...##.#.##...####..#...#.#..#..##..#.#.#..##.####.######.##..#...##....###.#.###.#...##.#....###....#..#.#..#....#.......#...##.#.#...#.#..###..#.###..###.#.#.#.##...#.##..#.#....##...##.#.#.##.#...###....####..#.##.#..#..##.##..#.#..##...#.#####.#..#..#.##.##...#.###.####.#...#.#.#.....##.###..###.#...#.#....#...######.#
#..##.#...#####..###.####.#..#..#.........##..###..##.###.#####.#.#......#......#.##...#...#####.#.#.#.##..###..##.........##.#..##...#.#.#.##...##.#....##..###.##.#..##.##.##....#.###.###.###.###.#.###.#.#..##.#.##.###..#..#.#.#.####.....####......###..##.###.#####.#..##...##.##.#....#..#..#..###..#.####..##.#.#####.#......#...#.##.#..#.#....##....#.##.#...####.#...#...#...####.###.##...##..#.####..#.##...##.#####..##....###....##.....####.#.#.#..#.##.##...#..##...##.#.###.###..####..#....#...##.####.##....#.##.##....#..##.#...###.#.##.#.....#...#....##.######.####.###.###..#...#...#####.#...#..##..#..#....###....##.#..#.###..#....#.#..###....#####.##..#...#.#.##.#......#....####.####....#.##.##.#.###.#...#....##...#..####.#.##.#..#.##.#.#....#.#####.###..#...##..###..#.#.#.#..#.#.#.##..###..###...##..#.#...#.#..##.#..#.#...##..#####..#..####..###.....#.#..##.####...###..###.###..##..#...##.#...###.#.#..#####..#.#...#####.#...#...#...#...###.##.#...##..###.#..#....###....#..###.#....######..#.##.#.##.##.########.##.##..#.###...#......#.#..##.#####.##...#.#...####...#..#..#..##...#.#...###.#..#.#.##..###.##.####...#.#.######.#.......#..##.##.#.#.......#..###.......#...#.#..#.####.###..#....#.#...####...#.##..#....#.##.###..#####.###.#.##.....#..#....####...#..####.#..#####....##........#.##.########...##.##..#.#.##.#..##..#.#.##.##....#.##.#..#.#.....#....##.#.##.###...#..#.#.#.####...###...###....#####.##..#...#.###.#....###.##...#..#..#.#...#.#..#...##.##.##....#.....####.#..#.#....###.#.###.#####.#.##...#....#.#...######....#.#..##.#.#.#...#....#.##.##.##.#.##.#..#.#..#.#...#.....#..###.......###.##.####.#####..#..#.#.#.##..#.####.##.#..##..#.....##.####..#.#.#.####.##...#.##.###..###.###..##.......#...##...#.#.###.......##.##.#..###.#.######..##...#.##.#..######.##.#....##.#.#...#.####..####.#..#.##.##.####.###...####.#..##..##..#....##.##.....#.#...#..#..#..##..#.####..#.....####.##.#......##..####..#.#.##..#..#....#.#...#.#.#.##.#..##...#.##.##..##...#..#.##.#
#....#.#......#...######.#....####.###.#....##.##.###.....##.##..#..##.#...#.#####.###.#......##..##......######..###..##..##.##.##...#..#.#####.#.#.#..#.##.##..#.#..##......#....#####....#.##..##.##.###.###...#.###.....##.##..#.###.####..##..###.#.#..###.#...##.##.#....###.#.##.....#.#.##.#....#.#..##..#.#....##...#.##..###.#.#.#..#.#####..#..##...##..#.#.#...#.#.#.#.....#...###...##...#..#.##...######.#..#....#...##..#...##..##..#.#.###...#..###.#...#.#.###.#.##.#.#....#.#.##.##..##...#.#..##.#..#....###.....##.#..###..#.##.#........#.#....#.#.#..###.#..#.###..#..#...#.#...##..#...##...#.##.##.##...###...#..##...#..##..###.####..##.###.#.#..#.#...#....#........###...#...#.#.##.#.#.#..#...#....#..#.#.#..#.#####.##.##..###..#.####.#..#.#.#.#.#.##...###..#.####..#.####.####.##.#.#.#.#...#..#...#.##.#..#####.###..##..#..####.##....#..##.####.#...#.#.##..#..#.#.#.##..##.##...#.#.##..#.###.####..#.#.###..#.###.##.#..##..###..#..###.#...#.#####.##..#.#.###...#####...###..###.#.###.###.###..#.###.##.###....###.#####.##.#.######..######..#.#.####...#.#.#..##...#.###...##..##......##.#.#.........#.#.##..###########.#..###..###..##.#..#.####...##.#.####........##.###...#...##...####...##..#.##..#.##.#.##..##..#.#...##...##...##.#...###.#.##.###..#.###.#.#.#..#.#.#.##..#..#..###..#..#..###...#####.###....#.#.###..##..#.#..###..###.#...##.#.#...##....###.#.#...#.#..#...##.#.#..###.#.##....#.###...#####.#.##....####...#.....#.########...###..#.#.#.######...#.#..##..#.##.#.#..#.#..#.##..#.....##..#.##......#..#..####.###..##.#.#.##.####.##..###..##..####.....#..######.#.###.....#....##.#.####...#..#.#..#.##...#####.#.##.#.#...#.##.#..##....##.##.#...###.#..##.#...###..#....#.##.##.#.##..#...##.#..###..#..#.....##....#.##.##......#..##...#.##.#......#######.#..##.###....##.#.####..##..##...##...#.#.#..#..###..##.####.#.#.#..##..#....#.##.#.#####.#.#.#.##.##.#.######.#.#....#.####.###......###...#.#.....#.#.##.####...#..####.#.#..#....#...####.......#...##.##.#.#...##.###..#..####
.###.#.#.#.#..#.####.##.#.##...#.#.####...#.#.#..###..#.#.#..#.##.######..####..##.#.#.#..#.##.....##.#.##..#.#.#####..###.#...#.##.#..###.##.#####.#.####.#.....##..####.#.#...#...#..######...#######.#.##..#.##.##.####....######........#.#####.#.#.##....######...#......##..#..#.##..###..#.#..#####.#.##.##.##.#..#..####...##..#..##....#....#.#.###.....#.####...#..####....####.###...##.####..##.#.##.#..#..###...#..###..#...#..#..#.#...#...#.###.#.###.#.####.###...##..###.######.#.###.#......##..###.#..###.####..##.#..#....#.##..#.##.#.###....#..#####..#....#.....####..##..#...#####..##.###.#..#.###...##..#.#######..#..#..#.##.##.#.#...#.#...##.####...#####.#.###...#..##.#.####..#.##..########...#.....#.###...#..#..#.......####.#.....###..###.###.##.#..######.##......#...##...##.....#..#.#..#...........#.#########......#..###.....####.#.##.#.##..#.##.##.#...#...##.####.#.#...#.##..#..#.###.##..##...##..#..###.#..#.#######.##...######..###...#..#..#.##..#.####.....#..###..#.#..#####...##....#.#..##....##..#.##.##.....#######...##.#####.#....###.#####.#.##.##...####.#####..###......##.###..###...###.##.##....#......###...##...##..#.##.###......###.#.##.#...#......#...####..###...#...###..##..#..####..####.#.#.####.##..#####.######..#..##.#...#.##..##.##..###..###.###....##.##..#.#.#.#...#.#..#...#.#....####..#.#..####.###.#.##..####..#####...#.#..###...##..#...#..##....#.##.#...#.#.#####.##...###..#..#.#..#..#..##.#..###....#####..##..#.###....######.#..#..##....#.#.##.########..##.#..#.#....###.##########..###.#.#.#.##..##..###..#.##.####.#.#.....#.....###...#.##.##..#####...#....#...#.##..#..####.####...........##.#.##.....#.####...#.###..#.#####.....#...#.#.......##.####.####..###........#.#.....##..##..#..#.#..###..#.##.####.#.#.###.####.##..#..##..#.....#.....#.#..###....#.#.#..###....#..#####...##.#.#.#..##.#.#.....#..#.......#.#..##..#.####.######.##.##.#..####.###.#.##....#.#.###...#.#..#..####.##.##....#.#####.#.#....#.##.......#..#.##...##..#####.#.##..#.###.##
.....#.#..#..#####..###....##.#.#.....##..#....#.##...#..#.#....#...###....#..#.#..#.#.#.##.#####.##.#...........##..#..#####..###..##.#.####..#..##...###..#.....#...##.##..###.#######....#...#.####...#...######..........#.#.#.####.#.#.#.###....###.##...#.###..####.#######...##.#...###.###..#.#.##.##.......##....#....#.#..#.##....#.#..###..##.###...#.##.#.##..#......####...#.##.##...####...#.####.#..##.....########......##....#..#..#..#.##....##..##.####........##...##.##..##.##.##.........##..##.#.#####..###....#.#....##...#.#..#...#.##..#.#...###.#..#..######.#.....##......##..#.....#.#.#..#####.###.#..##....######.#........##..##...#.###..#..#.##.#.##..##..#...#....#....##..##.###..#.###..#......#.......#....##.#....##.###...##.#...##...#.####.#...#..#.#.....#.###..#.#..#.######.#....#.##...#..#.#.#..###.#.....#.#.##..##.##...##..####.##.##...###.#.##.######.#..##...#.##.#..#...#.##....####.##...##.##.#....#.######..##.###.####..#####.##..#.####.#...###..##.###...#...#.##.#.####..####....#..#.#####.###.#...#...###..#.##.#...###...##..##..#.##.#..#.#.##..#.####....#.#.#....#.#..#.#.##....#####.##..##.###..##.#...###.##.##.#..##......#.#.##..###.##..####.#.#..##.#############.#....##.###...##.###......####..#.####.##.##..####..##.##.##....#..#....###.....###...#..#.#.###..##.##.###.##...##...###.#####.##.###..#.#....#..###.###.###.#.##.#.#..##...#..####..###.###...#.###..........#..####.##..#....#.#.##.####.#...#...#.##..#.###.#...#########.#####....#..#####.#...#.##.#.#..#..#.....#.#.##.####..#.##.######.#..#.##....#.#.####....###.#.#..###.#.##..###.#.##......#.#.#..###.##.#.###.#.....##..####.#######.########.#.##..##...##....##...##.##...#..##..##..######.##.##.#..##...#....#..##..#.#..##.###.#.#####.......####.#..#.###.#####...##.#.#.###.##.##.########...#...#.#....#..###.#.##...#...##.####.#.#..####..#..#.###.....#...#.##....##.#####.##.##..#.#....#.##...##.###....#..##.####.......#...#...#.......#..#.##.#.#.....###.###.##...###....##..##.##.#.....#...#..#.#.#
..##..#.###...##..#......##..#..#.#.#..#.##..#...#####.#.##.##.#.#.#.#...####.........##..##.##.##.#.#.##..##.##.#..#..#...#.###..........#..#..#..##....##.##.##...#..#..#..#.###.####...###.#.###..###..###.###.####.#.#..#.###.##.#.#....#..##..#..#.##.#.....##.##.###.#..####..#.#.##..#.#.#.#.###..###.#.#..#...######...#...#.#.#.##.#.###.####.##..##...#.#.###.###.#.#.#.#.##..#.####..#...#....####..##.#....#.##.##.###.#..#..#...#.###.#.#.#.####.###..#...##.#.#.#.###.####.....##..##.##.#..#....#..###.#........###..##.#.##.##.#..##......#.##.###.#......#.....#.#####..###.#.#..#####.#..#.#...#.###.#..####..###..#.#.#..##.#.####..##..##.....#####..#.#...#####.##..#.###....###.......##..##.####..###.#.##.####.#.....#.##.#.#..#..####...#.#....#..#.####..#..###.####.####.#.###.###..#..##..#######.#.#.#.#.####..###.###.#......#.##.......#.##.##.#####.###.#.#....###..#...##.###...###...###..###.#..#.##.#....#.#.#...#..#..#...##.###..#####..#.#.#.#.#.#.#########..##..#.#.##.###.####..#.#...#..#.##.#.##.##.#.#..#.###.##.####.#..##....#.#..##..####.#....#.....######.###.##..##...#..#....####...##.##.##...##.#######.#..#.###...#.#...###...#.##......######.####.#.#.##.#.##.#..##..###.#.##.......##.#..##.#.##..#.#.#.#.#..#.#.###...##.###.#.#.....###..##..##.###...#####.###..#.##.####..#.#.#..#.#.....#....#..###.#.#.##...#..#..#..#.#.#..#...##.......####..##..#......##.#.#.#####.##.###.#..##########.#####.#..#.#.#....######.####.#..#.##.#.....#.##.#.####..##.#.#.#####......#..#..#####..#...#..#....#.#..#.##.....#..##.##########.##.##.......##.#.#......####.#..###...#.#.###..##.##....#......#.....##.#.#...#.##..#..#.#####.#.#..##..##..##.#####..###...#.#####..###.#.#...####.#...###.####....#.#.#.######...#..##.....###.#..#..#...#..###.###.#.#..###..#..#.###.##.....##.#.#....##...#.####.##......####..#.###.##..#...###.##.##.##...##.#.###...######..#..##.....###..#......#.###.#.#.##.#####..#...##....####.#.#.####..#....##.##.#....#####.#..#...#####.###.#.#.#.##.##.##.###..###..###..#.###
.##..##..##.###.##.###.###.#.#.##...#.#.#...#......#...####.##...#...#..#.#.#.#...#...#.##.##.....##.#.##.#.#.###.#.#.#####......##..###..###..##....#.##..#.###...#..#..#.#.##...#....#..#..#..#.#...############.#...#..#.#..#.####..######.##.####.##.##..##..###.#...##.#.#####.####..#.#.......#.#####...###...###...###.#.#.########.##.####.#....###.#.###.##..#....####...#...#.##.....#.....##..###.#.##.....#.######.###.....#.##.#.#######...##....#.#.###...#####..#...#...#.##.#.##..#..####...##..#..#...#....###....########..#####....####.###.##....#.##.##.##.##..#.#.#.####...#####.#.#......#...#####..#.#....##..#####..####.##.##.####.######.....######..##.##.##.##.#.#..###...###..#.##..##.#.##..##..###..##..##.##....#######.##.#.##.#.##.##.......##.##.##.#.#..##.....####.#.##..####.####....#.#..##......#.#..#.##.#.##..#...#.....######...##.######.#.#.#.....##.######...##.#.#..#..#.##.#...##...##.#..#...##..#........#.#.##...#.#.#.#.#.##...##....###......##..#.###.#...#####...###.###....#.#######..##.#.##...#.##.#####....##..#.#.#.#.#.#..#.###..####.##.#.#####.#.###...#..##.#...##.##.#.#...######..#.######.#...#....#...#.....#.##.###.#.#####....#.#####.#.##.#.#.##...#..###..#...##..##....#..#....####.#..#.##..#.#.#..###...##..#.#..#.#####....#.....#.#.#.......#....##.####.#####..#.#...##.#.####...##.#####.#....###.#...#####...###.###....##....#.##.#..##.##..#########.##.###..###....##..###.###.#...##.#.#.##.#####..##...#.#.#.#...####.####.#..#.#.#.##........#.##.###.#..###...#......###.####...##.....######.#..#..#...###.#.##..####....#.##.######.#....#..#.###...##.............#.##.##.###..#.#.##.#....###.#####.#...#.......#####..##...##.#.#...#.#.##..####.....#.#....#.#......#.###....##.####.##..#.#..###.....#.##....###.#.####.###..###.#.#.#.##.#....#.#.#..##...##########...#.##..#####..###.#..#.#.#.#...##.##.........####..##..#.....#.###.##......##....##..#...##..#.#...#.##...#....#.#.###.#.###.#.###.#####.##.###.#.#..#..#.#.#.###.#.#...#..###..#....##.#............####.
#.###...##...#####.##..#..##.###.#.....#.##.#...###...#.#.#....#####.#...####.....##..#.##.#.##.##....#..###.########..##...#.##.#.###..#.##.####.###..##.##..####..........#.###.##.##..##.#############....#.#...#.##...##.....####...#...#####.##.#..##..#..###..###.###.#..#....#.####...#.#.#####.....#..##...#.###..#####.##..##....#.#..##....#.#.####..#####.#..#.#.######.#..#.#####.###.#.....###.#...#####..#....###.#....#...#.##....#...#....###...###.#...#....##.#..#.####.#####..#.#.#..#..#..#.....##...#..#..#.######.....#######.....#....#.##.###.##..#.#...#.######.#...##......#.#...#.###.###..#.#..###.##.#########....##.#.###..#..##...#..#.#.####....##..##.#..#.#..####.##...##.#.#..#.#..####......#.####...####.....#.#.#.#.#.###.....#.##........##.#..#..#.##.#.####..##.#......#.#.#..##.##.#.#..#.##..#.##...#.###.##.#.#..##..#...##.##.##..#....#.###...##.#..#.#.########.####.######..#.#.#..#.#.##.##.##..#.....###.#...###...####.#.##.######.##.....##.######.#.#.##.##..###....#.#..#.###.#....#....#..###.#...#.#.##..#..###.#.....##.#..#####.....####..####...#.######...#.#.....##...###...#..####...#....####.##.#.###...###....##.......#..#.#.###.##..##......##.#####.##...###....###.#..#....#.#####.##..###..#...#..###..#..#....##.##.##..######.#.#####.#.#..#...###.#....##.##..#.#####..##.##.###..######.#.##....#....##...#.#..#.#...######...##..#.#.#...#.##..#...#..#.#..#..##.#..####.###.#..###.###.###.#.......##..####.#........#..#..#.##..#.#.###.####..#######.##..#.#.#..##.....####......###.#..##..#.###.......###.#.#..#.####..##.#..#.###.####.....#####............#..#..##.#.#.##..##.###..##.#####.###.#....##.#.#####...#...##..##.###.####.#.....##.###....#.#.##....###.#.#.#...###.##....#....#..#####..#.##.##.#.#..#..#.#####.#....#.###.#.#.#.#.##...#########.#.....##.#.###.#######...####.##..##.#.#..#.#####..##.##..###.#..#...#..##.###.##.##.##..###.##..##..####.#....#.#.#########...#.##...###.#.#.........###.#.##.##.....#......###.#.#..#.#.#...##....###.....#....#.###..##.#..
...##.##.##..###.##.##..#...####.##....###.#..#.##..#.###.#..#..#####.####.##.########.##.#######.#..##.#...##.#.##.#..#.##...#####.#..#...#######..####..#..###..#.#...##..##.###.#...##.#..#..#.#..##..#.#....#.#####.##.###..##.#...#..###...###.#.#..###....#..####...#.#..#.#.##.###...##.##.....###.##.#.#.#...#.##...##.##...#..##..#.#..#.##...##.#.##.#.##..#..##.#.#.#...#...#.#...#.......##....##..###.##..#..####.#.##.#####.#.###.#..##..###.####.#.##..#.####....#....###..##.#.##..##....#..###..##.##.##########..#..#.#...####.#.#.#######.###...###.#.#.##.#.##.#..#..#......######..###...#...###...###.##...##.#.#....#.######....#.....#..##.#...###.#.#.##.....##..###.#.#.##...#..####.#...#...#.#.#...#.##........#..##..###..#....###.#.####.##...##.##.#.##.##.##.#.#.##.##...##...#.#...##..#.##..##.#.##.#..##...####.##...#######.#...##.#####.#...###....##.#....#.#.#.#.#.....#..#.#.###.###.#.###.....#..#.######..#..###.#.....##....###...#########.####.##..####.####.#.##.##..#..#.##.####..#..###.#.#.#.#.##..#...##...#.##..#.##.####..##..#.#......#.###.#.###.#..###.###..#....#..#.###.#...#..#.#.#.##.####.##...#.#.###....####.##..#.###.#.#.###.#..####.#..##.#.#..#.......#..#...##..#..#..#.#######.#.#..#.###....#####.##.....####.###..#.##.#.#.....#..##..###.##..#.##.####.##..#.#...#.##...####..#.#...#.#...###...#.###..##....#.#.#####..#.#.###.###.######..##.##.#.#..#####.#..#.#.#..##...#.#..#..##..#....#####.##.#.###..###..#.#..#.##.#...##......##.#####...#.....###..#.##....##..##.#...#.###.#..##...#..###..#######..###...#.#.#.##.###.#.####....####.##.#.###.##.#...##.#.####.#.##...#.#..#....####.#.#.#...##.###.#.####...#....####.###...#.#.#.#..##..##.#.....####..#.#.#..#.......##....#..####.#.##.###..#..#...##..###..##..##....#.#..#.#..#####...#.##.#.....#.#..##.##.#####.##.#..###..#.#.#....####..#.#...#..#.....#.#.#.##..##.##..#.#.#...#....##.#.###.#.##..#####..#..##...####.#..#.######..#.##..####.#.#...#..###.#.##.....#.###.##..#..#.##.###.#####..#.#......###.#.#.#....###...##.
.###.##.##..#..#.#..##...###.#.#.#.#########...#....#...#.#..#.#...#.....#.#.#...###..##.#.#..########.##..#..##...#.##.###.###..##..###.#.##.##...#.##.#.##...#..##.##..#..#..#....##.###..#...#..#.....#.##..#.##..#...#....#....#..##.#...###...###.#.##.#.#.#.#.#.##.##.#..##.#.##.##.......#.##.#.####.#.##.####.####.....###.#.........##..#.####.#.#.#..#.....#######.####.#...#.#.###.#..###.#..#.#.####....#........########..##.#.#.##.####.##.#..#.###.###.#.#..###..#.#..###..###..#..#..##..##...###.#.##.##.#...##..#...#.##.###..##....#...#.##.##..#.###...#..#...#####.######.##.###..##...#.#.##..#..#.##...#.##....#..###..........#.##.##.#..#.##..#.#....#..#####.##....##.#..###.#..#......#...#...##..#.###..#.#..####.#..#....#.#.#..#..##.#.#.#.#.......##..#..#...##.#...#.###.#....#.####...#....#.#.#...####.#.#..#..#.##..###.#....##.#..###.#...#.#.##....#...#####.#..###..#.##..####.#.#####.##.#.#.##.##.#..#..###..###.##.##...#.######.##..##.#.###.##.#..#...#.#.#####......#.##.##.#......#.###....#..###..##.#.##..#..####..###..###.##..#.....##..##.########..#.#..####.#.#.###...##.##.##.###...#.#.##..#..##..#.#.##...##...###...#....#.####.#.#........##..##.###.##...#..#...#.#..####.##.##.##..#.##..#.#..#.#####..#.....##.###...#.#....###.#.#..##.##....#.###..#.#...#..##.##..#.##....#...#######.##..####.#..#.......####..####....#.#.###########.##...##...#.#.##.########.....#.#...#.###....#.#...###...#.###..#####....##.#.##...#.#.#########.#.#.##.#...#.#.###.#....##..#...#######..#.#.#..####...#...#..##.#.##.#.#.##..########.#...#.#..#....#.##.##.#....#.#..#..##..######.##.#..#.#..#.#.....####.####..#.#..###..####..#.##..#.####..#..#..............#.##.#####..#.#.#.#.#.#.#....####.#..#...###..###.###.#...#.....##..#..#.#.##.#...#....##.##...#.#..#..####..###.###.#..##.##########.#.#..#..###...#.....#.#.#.#..#..#.######.#..##.#.######..#..###...###..#..#..###.##.##.##....##.#..#.#.##.##.#...###..#.#.#####.#####..##.#...#####.#.####.#####...##.#.###..#.#....#...#.##..##..#..###.#####.
#..#..#.###..#.##...##.###..##..#.####...#.###..#.####....#.#.#..#..####..#.##.##.######.....##.....#...#.####.#.####...#....##..#.#...#.#.....#####.##..##.#...#.#.....#.##.###.####.##......###..#.##..#.#...#####....#.##.....#.#..#.......####..###.#..##......#...#.##.##..#...#.###.#......#....#.####.#..##.#....##...##...###..#..#.#..##.###...##...#..#.#..#...##.#.#.#....#....#.###.##.##..#.#.#####...#.##......#.###.......##..#.###.#.##.###..##..###.##.#...#.#######...#.####..#.#..#..###.#....###...#.#..#..#.####...#.#.#..#..#.##..##....##..##.#..#.##.###.##.#######.###..#.#..####.#..#..##.####..###..#..#..######.####....##.#..#..#.###.###..##.#.#.##.##..#...###....#.#.....#.....##..#..#..####..##.#.##.#..#.#....####.....####.###..##.##.##..#.#...###.#####...#.##..#.........#.###...##..#.#..#...####.##...#.##..........#.###.#######.#.......#....#...###..#....#..#.##.#.##....#.....#..##.##...##...#.###.##...###.....##..###.###.#..#..#.#.#...#...#.#.##.##...##......###..##..##.#.#.######.#...#.######..#.#.##..#...####.###########..##..#..#.#....#....#...#..#.........#.###.#.....##...#..##.##...#....###.##.#..#####.##..##......#..#.#..#.##.#.####.#..####.#.##.#.##.##........#####.#.##........##.####........#....#.###.#.##.#....##.#..#..##....##.###.###..#..#...##.#..#.#...##...#....#..###..#####......#....##.#..#.##..#.##.#.#...#..##...#######.#.###.###...#.##..#.#..#....##.##.##.##......##...#....#...#..##.#..#...#.#..#.#..#..#..#..#.##.....##.#.#...#..##.##.###...###.###..#...#.####...#..#..###.#.#.....###.#######..##.#...#####.##....##..#.##.#.#.##.#.......#..##...#...#.###.##....#..##...###.#.#####...####.#.....###.##..#....###.##.####.##..##..#..#..#..#...#...#..#..##.#..#.##..##..###.#.#.#.###.#..#......#..##.###.#.#.#.#.###.#######...#....######.#..#.#..####.###.#..#.#.....##.#..##....#.#......#.###.#.###..######..####.....###......#...##..######.###......######...#...###....##.##.#..#.#.#..###.#.....####....###.###.#.#####..##....####.##..##.###.......##.##.##..
..######..#..#..##..#.....#.#.#.####.##.#...#.##.##..##..##.#..#..#....#.....####..#.##.#.....#.####.###.#..#.#..##...#.#..#..#.#.##.####...#.######.##.#.#...#..#..######.###.#.##...#...#.##..##..#.##.#....##.###..#....##...######..#....#....#####.#.#.##..###........#.#.##..#.####.###.##.#.#..####...#.#.....###.##...###.........##.#..#####..####...#.##.#.####...##.######...##..###..#.###.....####.##.#.#..#.#.....#.##..##....####.###..##...#..#..#..#.........#######...##..###.....#.####.#..#####.##.####.####.##....###....##....#..#.####.###...##..#..#..#...#.###....###.##..#...#########...#.#.##.#...######....#.#.###.##.#.....#.#..#.####..##..#...#..#.###..##.#..#....###.#.#....####..###..#.##.#.###.###..##.##.#..#.#....##.###..#.###...#..#..#...#.#.#...####.#.#.#...#.#...#..#..#.#####..##...#.###..##..##...#..#####..#..###.#.###....#######.#.........##.#..#.#.#.####...##.#...##.#...#....#.###.....#...##.....###.##.#####..#####...###.#.##.....#...#.###...#.###.#....#.######.##.#.#.....#####..#.#..#..##.#.#.###....###.#.##.#.#.#.##...##..######.#......##.#....####.##.....#..#.#.#.#.#.###.##.##.......#.#.########..#............#..#..#.#...#.....###........##....#..####.#...#.##...#.#...####..##.####.###.###.#....####.##.#...#...#.##.....#.####.###........#######.##.###...#..#..#..##.#.##.##.###.#.....#.##.###.#.##..#...#.##.##...##.#.#...#....###.####..####....#.##..#..#...#..#.#.##.##...#...........##.......##..#.###.#.....#.#.#.##..#...#.###.######.#..##......#....##.#.#.######.#.##...#####.#.#.##.#.#.#####.####.#.....#...###.##.##.#.#.###..##.##.#.#..##.#..##.#.##.##...#.#####....#.#....#.##..###..#.##..##..#..#..#####..####..######..##.#.##...##...#.##.######..##.#####.#####..#.#..#..#######....###.#...#.#.#..###.#...#.#...##..#.#..####.#.#.###...#..#..##...#..##.##.###.#....#.#...##..#..#...###..##.#..###.#####...#.....#.#.#.#..#.......######..#####.#.##..#..####....#.#.....##.#..#.....###..#..##..#.##....#..#...###.#...#.####.#.#..##.##.###.....##.#...#...##...#.
#.###.#..####...#..#######.###...#..##..###..#..#..###..##...##....##....##...###.#.#..#..##..#.##.#....###..#..#...#...###.###...##.#.#.....#....##....#.#.#.#.....##.####.#.#...#...###.######..##.#..###....##...#..#####.#.#.#.#.##.######..######.#.##.##.#..##...##.#.#####.#.##.##...#.#.#.#.#...###..#.#.###.#.####.#.####..#.#........#......##.....####.#..####...######..##..#####.#.#...#####.##.#......##.#.##.###..#..##..##.#..#.#...#..###.#.###.##........#.#.#...#.#######.###...#.#.####.#.#..#......##...#.....#......#..#.###.#....#########..###....#.##......####.#...###...##..##.#.##..#.#.##.#......#....##..#..##..#..#...##.#.#.#...#.###....#.###.#.##.######.##...###.......#..##..##..#..#.##..##..#.#.##..##.####..........##.##....####.#...#.######.###.#.#.#..###.....##.#.....#..#..###...###....###.#.#.####..#.#####.....#..###.#...##.##..#.#.##......#.##.#..##.#.##..##...###...#..##.....##.##....#....#.##.###.#...###.###.##....##...#########..#.##.##.##....#######....##.#.#....###.##.##.##....###.####...###....#..##.#...#..#..##..##.#.#...##.###..##..#.###..#..##.#..#.....#.####.###.#.##.##.#..######..###.##...#..##......#.###.......#..##.#..##.#.##...#.##....#..#...#.###....#.#.#.#.....#..#.###.####.#.##.#.###...##.#.#..###.#..#..###.##..#.......##..###.####.#.###.####.####...#..#.##....#.####.##..##.#.#..#.##.#.#.#.##.####...####..#....###.#.#..#.#.###.#####...##..#.#.#####...#..###.###.##.#....########..#.##.####.##..##.#.##..####.#.####...#..#.#.....###.######..#.......##...##..#..#..##..#..#...#..###.#...#.##......#.#...#....#...#...###.#..##.#..###.....##....##.#..#..#..#..##.###..##.#..#....###.##..#.###.###..#.###.#...#..###..###########.###...#....#..#..#.#.#...#..##...##...##.#...##...#..###.#....#..###.#..##...###.........#......#.#.##..#..##.#..#.###..#.##..#.##.####.#.#..##...#..##.##....#.#..#.#.#.##.##..#....#.###..#....#..##.#......#.##......#....##..#..##......#...#..#.#.##.....#.#.###.#...#...#.###.#.#.....#..###.....##.###.#.##....##.##...###.##...
..##..#####.....##.#####..#.##..####...#..#..###.#########.###..#.#.#.#.....##.#####.######..##.#.#..#.##.#.#.#.#..#.##.#..##.#...#...##..#...#####...###.####.###..#..#.#......#.#..#.#.##..##....#.#...#.....#....##..#.#.###..#.....#.###.#..#...........#..###.....#.#...##....#...##..#..##..##.#...#..###.##.##.#...#..####.#.#...###...#.#..#....####...#.#...####.##..##....##...#..#.##....#.###.#.####.##.###.#.##.##.#.#..###..#.#..#####..##....####.#...#.#....#.##.#..#..##....#.####..#...#...#....####..#....###.##......##..#...##.#.#.##...#.#.#....####.##..##...#.#.##..##.##.#.#.###.##...#.###.#..#.#####.#.##.####.##.###.#.#...#####....##.#.....#.####.....#..###.#..#..####......#........#..#......#...#.#.####.####..##.##.##....###.#...#..###..#.##.....###.#.##.#.###.#.###...#.##..#..##..#..#....###..#..#....#..#.....#.##.##....#.##.###...#.#..###.#####..####....#..###...#.#....#.#..#.#####.#####..#.##.#..#...##.#...##..###.#.##..#######.#.##..#..#.###.#.#..#.#..##.###...#.#....###..######..##.....#....########.##############..####....####...#.#..##...#......#.###.#.....###...###.#####.##..#...####.##.#...#.##.#..###...#.........#.##...#...#.#....##.######..##.....##..#.#.#..#.#....#.#.#.####.###..###.###.##.#.##....##.###...#....####.##...#.#..##....###.#.#....####.##..#..##.....#.###...#..##.#..##..#....#..#.###..#.##.#.#..#..##...##.#.#......###..####...##..#.#.##.#.#..####.#######...#..#.#...####.#........#####.####.####.#...#.#..#...####.#.#...#.##....###.##..##.####.##...##..###.#....#..##..#..#######.#..##....#...#.#.##.#...#.##......#..#.##...###.###.####.#..#..####...##.........#....#.....#.####.###.##.#.#...#..#.#..##..#####.......#..###.#.#.###.#..###.##.##.#.##.#.#.#.###.#####.......#.#.###.##.#..##.####.##.##.###.##.###.###....#....##...###.##..#.###.#.#..#.########.#.#..#..##..#.#.#.#..##..##...###.....#..##.....#.##.#.#.#...##.##.#.#.#....#..#####.##...##.#.#.##.#.#....##.##.#.#.#..##..#.####..#.##.###.##..#.#.##..####..#######.#...#.####.#....#.#.....##.#
.#....#.##.#....####..#.##..#.#..#.##..#..####...#..##.###.##.###..#.#.#...###..#.##.#.....##.#..#.####....###.####...###.######..#..#.##..##....#..#####...###.###.##.#.#..#.##..#..##..##..#....#.#.#####.##.####..#.......####.#.##.#....#..##.#.#.###.#.###..##.#..#.....##...#.#.###...######..####.#.#####.#.##.#..#.#.##..##............####..##..#..........####..#..###.#.......#..##..##......#...#.#..##.###...#####.##....#.##.#.#.##..##.####...#.##.#..####..###.###....#####..#.###.#.###.##..##..#..#.##.###.#.##.#..###..#.####.####..#.#..#..#..#..#..#####..##..#####..#..##.#.##.##.###.####..##.##.#..###..#..####....#.#..#..##....#..#.####......#.##....####..#.#..####......#.##....#..#..#.###.##...#.#.....###....##..###.#..##....#.##.#.#..###......##.#.###..###.#...#.#...###...#..#.##.######..###.#..#..#......#...#.#..#.##...#.##..#.#.#...#.....##..#...#...#....#.......##...######.##.#.#.##..###.#..#..##..#..#.......#.###.#.#.######...#.###.###..#...###......#.#####..#....##..####.#.#..#.#.#.##.#.#.##.#.#.###.#....#.#.##..#..##...####....#.#..##.#..#..#.#.#.#...#..###.###......#.....##..####.#.#.#.....#..##....##.###..##.#...#.##..#...#.#.###..#.##....##.#........#.####..#...##..#.##...#..#........#.##...####.##.....#...#.###..###...#.#.##..#.#..###..##.#.##.#..#...##..#..#...##.#.#.###...###..#....##.##...##.###.###.#.#..#.##.#..#....#.#..#..#..#.#..##.#.##..##.#...###.#..########.##....######.#.##.#.#.###..#.#..#.#.##.##...#..##...#.#####..###...###.###..##..###..##..#..##..###.###.....#..##.##......###..#...#..#.#.....##...#.##........#.##......#..#..##.####.######.##...#.#.##..#.###.##.#...#..#..##...#####..#.#..##..########..##.##.#..###..####.....##.#..##.#.##...##...#..##.##.###..##.#.###..####.#.#.##..##...#.###.#.#.#...#..#....#.....#...##....##..#.#.#..#..#...#.....####..#.###.....####.##...###.#.#.#...###.###...###...#.#.#..#..#..##.####.###.##.#..#.#.#..##.#.####.#..#.#...#..####....###..######.#....#....##....#####......#.#.##....##.##..#.##.###..##.##.#.###
..#..#.##...###.#..##.##..###..#####.#..#.##.####.#...#.#.#....#...##...#..#.#.##.##.#.#.#.###..####..##.#####.#.###.....#####.#....#...#..####......##.##..##..#.#.######..##..#..###.#.....#.####...##...#..##..#.#..##.#.#.#.##.##.##.#..#.###...#.........##.#.##.#.#.#.###..###.###.#.##...#.....#.#####...#....#.#..#.#..##.###.##..#.##.##..#..#.#..#....#.#.####...#.###.#.###.##..###...###.##.#..###.....#.#.#.#..#.#.##.#...#..##.#...#...#..#...##########.......##...#..#...#..##.###.#.....##.##...#.#.....##.####...#.#..#.#.##..###.#.#..##..#...####...##..###..##...#####.###.#....#.#.#.##..##..#..#.##....##.##.#...####.#..###..###.#...###....#.....#....###.##.#.####.#.....#.###..####..##.########..#####..####.#.#.#.###..#..#.######...#....#..#.##.#..#.#..#..#..##.##...#.#...#####...#..###......#..##.#....##.##...####.#.#...#..#..#..##.#.....#...#.#..##.#.####...#..###.....#..###.#..##...#..##..#.###.#..#.#.#...##...##...#....#.##..####.#.#.#.....#..#.##..#.####.##.#...###.###.###...##.#...#...##..###.##.......#.##..........##.#..##..........#.###.#.#..#########....#....#..#..#....#.#..##..#..#.###..#####.......#.#..#.####...##.....##.##.#..#..#.#..#...#.#.#.#.#...#.##.#..####.##.####...#..###...###.....##....#......##..#######.#...#.#.......#.....##.#..#.#.##.#..##...#.##..#.#.#####..#######.#..#.##..#..#....#.####.##..#...#..##.#.#.####.#..####...###..##.#.##.#..###....####.#.#.####....#..#...#.#..#.#.##.##...#########.####..####.###.#.##..#######......###.###.###....###...#####.##...##.#..#..#.##.###.##..#.#....#..#....#####.###.#..###.#..###..#####..#.#..##.#.##....##.#..##...#.#.###..####..####..#.#..###..#.#.......#.#....#..#..###...#....##.####..#..##..##.####.#....##.##..##..###...#.#..#.##...###.##...#..#####..#.#.####....#.#...#####....##.#..#.#.#.####..###...###.#...#.....##.###..####.##....#..#...#.##.###.....#...#.#####..#.#..####.##..#.####...#..#....###.#.###........#....######.#..#..#.#.#.##.#..#.##..#.##...###...#.#...##.#..##....#.###.#.#.#.#..###.####.##
#.#.##.###.#####..##.##..##..#...###.#.###.....#....#...###.#.###..#.....#...##.##..###..##...####.....#.##...#..#.#.###...#.##...#...#..#.##....#...#.##.####..#.#.#...#.#.##...#....####.#....##...##...#.#..#..##..######...#.##..#.###..##...##...#....#..##..#.#.#.##..###..##.###..##...##.#...#...#...##....##..#.#..##........##...####.##.###....#...###.#.#.....##.##.#..#...##.#.#......#.#...#.#.####..#.##..##...####...#.####.#.######.#..#.##...#####.####....#.##.#.#........###..####.#.#.#....###.##...##.#.###.##..#####...##.##...#.##....#.#..#..#.###...######.##.###..##...#..#######....#.#####..####....###.#.##.#.#.#...##..###....##..........#......###.#.#.##..##.#.#.###.#......#.#......######...#.##.###..##.#...#....#.#.....####.###..###.#...#####.#.#.##...#..#.##.#.##..###...#.#.#.#.#.##.#..##..#..#####..#....#.#.#....###..#....##..#.##..###..#.#...#.#..#..#.###.###....##.###....#...###...#.##.....##.##..#######..##.#....#.####.###..###.##.....#.#..#..#.#.######..#..##.##...#..#.#..#..#.#.#.#.##.###..###.##....#.##..##.##.##..##.#..#.######.###.##..#####.#.##..#...#.#####..##..##...#.#.###.#..#..#...#.#..##.#..##.##...#.##.#....##..####.#..##..##.###.###.#.###...#...#...#.#..###.##.##.##.#..##..##.##.#.....##.##.#..###.##...#.####.###.#....####.##....######.#.##.####.###..######.#..#........#..#..###.#.##.##.#..###.##.#.#.#.###.###.#..#.#.......###..###....#####...###.#.#..#.##..#.##...###.#.#..#..####.##..#.#.#...#####.##...#...#....#.#..####..##.#..#..#.#....#####..#..#####.###....#.######...##.###..##...####......#.#.#####...#...#.#.####...#....#..#.....#.##..####....#..#.#.#...#..#####.#.#..###.#.#....#.###.....#.###.#.#....#.##...####..#.##...#....#.#...#.##..##...#.##.###..##......###.#.##..#######..##..#..####..#...#...###...#.##..#...#.....##....###..##.##.#.......##.......##...####..####.#....#.#.#...#####..###.....#..##.#.###..##..##.#.##..#.####.#.####.####..##.#...#..##....##.#.##....#.####..#.......#.###.##..#####.#...####.#...#..#....####.#...#.#..#..
#.#..###.#...##.....#.##.###.#.###.#.#.###...##.#....#...#.#..#.....##.##.#..#.#..#..######.###..#..###.###.###...#.#..#.....#.#.#.##.#.###.......#.#...#..#.#.#.#.##.....#..##.#.#####.#.##........#..#.#.#....#.#..##..##.#.....##.#.....#.##.##...#...###.##.###...####.#.#.####...#.......#.....####.#######.####..##.###..#...#####....###...##..###.....#.#.####.##..#...#.#...#.#...##.###..#.###..##..#.###..###.#.###.#.###..#.###.##..##...######..#.###....##.#.#...##.#......#.###...#..#####..#...#.##....##.#.##.##.#.#..#..##.##.#....###..######..#.#..######....##.#.....#..###....#####.####...#......####...#.#..#..###.#.##.##..####...#....#....##.###.###..#.########.#.##..###..####...#####.##.####..#...##..####...#.##.#.#..#.##..####...##.....#####..#.#..#......#.##..#....#..#....###.##......#...##....##...##...#.###...#..##......###.#...#..####.#.########..##..#.###.....##.##.#.##..#..##.....#.####....#.#.....####..#####...#.##.#.####.##..#.#.#.###..#.#.##.#####.##..##..#.#..##.#..###..########.###.#.##.#....##.#.#...#..#.###..##...#######..##....###.##.##...#.##.##..#.......##.#...#.#.#.#...####..##..##..#..#..##...###.#..#.#.#.##.##..###..#####..#..##.#.######...##...#..#.#.##########..##.#..###...##.##.#...##.##.#.#.##.....#...##.##.#.##......###.#..#...#..###.####..###.##.#.##.#..#..###.#..#######.#.###...##...#.####..#.......####.####.##.#..####..##.......##....#####.#.#..####..#.###..#.#######......##...###.##.##.#.###...###..#.#..####....#.##.###.##.#...#.#...#.##..#..#....##.#.....##....#.###..##....##.#.###..###.#...#.#.#####..#.##..##...#######.#.....###.#....#######.##..######..###..#########..##.#..#.##.##.#####..##.#.#....###..#.#.....#......####.#..###.#...######...##.#....###..###.##...###.#..##.###.#...#.##..#...#.#.....#...#.##.##...######...##..###.#.#.....#.##...#..###..##.#..#####...#..#..########.##.#..##.#..##..##.###..###..##....####.#..###..#.#...#.#..####.####...#..##.#.####.#.#.#.#..###...###.##.##.####.#.###.##.##.###.#..##..####.##..####.#.....
###..##..#...#.###..#..#..######.#.#.#..#####...####.#.#.##..#.##.#.####.#..##..##...####...###.##.##..##..####..#########....#..#...##..#.....##.#...##....#.#....#.#...#.#.##.##.####..####.##...##.#..##.##.#.##..#....##..###.#...##.#.##...#####..#..#....#.##....##...#####..##....#.##.#..#.##..##...#..#####.###.####.#..#.###..#..####...###..##.####..#.##.##...##......#.#.#.##.###.#...##.#...#..#.######.#..#..###..###.##.###.#.#..##..##..####....#..#.#....###.#...#..#######..#.#.####..###.#.#...#..#.#........##.....##.#...##.#..##..#.#...#....######..#..#.......####.#...#####..#....##.#.#..###........#######..###........#...####.#####.##.####.##.###....##.###.#.###...##.####.##..#..#.#.###.#.#.#..#.#....#...#.#...###.#.#.#.#.###.#.#.######...#.#.##..#....######..#...#.#...#..#.#..#####.####..#.##.##.##.#.#.###...##...##.###.####...#.#.##.#.#..##.####....#..#####....#.####.#..#####.#####..#..##..##..#.#.#..##..###.#...##.#...###......#..#####.####..##..#.####.........#...#...#...#.##...#.##.###.#...##.#..#..##.##....#.###.#..###...###.....#...#......#.#..##....#.##.#.####......#.#.#..#.#..#....####.####..#####.#.###.#.#.#.........###.#.#...###.##.###.###..##.##.#####..#.##.....#.#....##....##.#.##.##.###.####.##...#.#.##.##..######.#.#.####..##.#..#.##.####...#..###...#.......#.#.#..##.#.##..#####....##..##.##..###.#.#....##..#..###....##..##..##..##.#..##..##.#.###.#..#......###..##..###.##.#.#.#.##..##.....#........##...#.#..#...##.#.####.##.#.#.##.#.#...##..#..#..###..###.#.####.#.##..##.#..#.....#.....#.#.####....#.....#.####.#..###.####.##.#...#..#..#....#.#.##.####..###..#..#####..##.###.##...#####......#..#.#.######...#.#....#.##.##.####.#######.##.#..##..#.##..#.#.#.##.#......#.#.##...#..#.####.#...#.##....#......##.###.##.#.#.##.#.#.##.#.##....#...#...####.#..#...##.#..##..#.##...##.####.###.#...#.....####.#####..####.#.###.##.##.##..#.#..##..##..#...#######.#..##.####.#..##....##.#..##....##..###..##.#..#####.##.....#...##.#.####.###.#####..#.#..##..#...#..#
.####.##...#..#.##...##.#####..###.#.#.####.##..#.#.##...####.#.##.##.###..###.#.##....##.#....##.#.#...#.####.##.#####.#..###..#..###.#......#..#.#......##.##...#########.#..##.#.##.###.#.####..#...#.....#.##...........#.#.....#.#.#######....#..#.#.###..###.#####.#.....#.....##.##..#.##...##..##....###.#.####..##....#.#..##.####.##.#####......#.....#.#.###....##...#####.#.#...#.##..####.######.#####.......###.#...#..#.#.###...#.#.####....#..#.##..###.#...####.##.#.###.####..#.##.##..#.#...##...#.......#.##..#.#.##..##..#.#....#.###.##.#.#..#....#..#....#.#.....#.##..#....###..##.#...#####..##.#...####.####..#....##...##.#...####......###..#.#.........##.#.##.####.######.#...#.##..###.#######.#.###...#....####..#.#.##.....##...##..#.#..######.##.######.#.#.#.##...##..##.#.##.###.#....##.#....#...#....#..###.###...###.#.#.#...####..#....######.##..##...##..##...##.##..#.##......#..#...##..#..####.##....#.##.########..#####.####..#.###..##.#.##..###.#.#.##.#.##....##.#..#......##.#..#.#.#.#.#####.#.....#.....#.#.##.##.##.#.##.####...#.#..#..#....#..###..##.#####..#...#.##.####.#..###..#......#....#...##..#....###..#....#..#...#.#..####...##.###.....#####.#...#....#..##.#..##.....#############.##.##.##..##...#..#.###.##..####..#..###...###.##......##.##...#.....#.#####..#.##....#..####...##############..#..##......##.#.#####.#..#..###..#...#.##......#...#..#..########....##.#####....####.#.#....##.##.##...#.##.##.###..#..#..#..#.######.#.##.....####.#..###..##.##.##..####.#..###..#####...#####.#..#....##.#.#.###..####.####.....#.#.##.#....####......##.#....#..#.#......#..#...#...###.....#.#.#..####.#..#..##.##.#.###...##....#.#.#..#.##..#...####..#...#.#.#..#.#..##.#.#.###..#....##..#.######....#.##.##...###..#..###...#.#.....###.####.#####.#.##.#.#..##.##....#..###...##...##.#.#.#..##.###...###.###..#..#######..#.#.#..##.####.###.##.#....#.###.###.##.##.#.#..##...######...#..##..##..###.#..###.#.##..##..###....#..##.#.#.##.###..#.#.###......#..##.#####.######.####.##.
#.#....###.#.##.#.####.##.##.###.####.#..#...#....##..#..#.#.....##.#.###..#.#.##..###.###..#..#...#.##..####.#.###.##...#......#..##..###.#....#..##.....########.#..###.#....##.....##.#..###.#.#..#.#.#.#.###.##...####.##.#..###.#####.#..##...###.#.#.#..##..##..###..####..#..#.#.#.#.#.#......##.##...#.#.........##.#..#....########.##..#.#..###.###...#...##.###.....#.###.##.....###.#....##...#.####.#.#.####...#.......##..##..##.##....#.##.......#..#.###.#.##.###..#....##.###.#....#######..####.#.#..#..##.###..###....#.#..#..##..#.###...##.#.##.##.##..##......##.###.##..#.##.##.#...###.###...##..#.#.###...##.#.##...##..#.....#...##..#.##.....#####....#...#.#.##..#....##.##.....#..##...##..##....##.###..#.##.#..#..#####..###.#.#.#...#..##...#.##...#.#..###...##.#..########...####...#.....#####.##..#.###..#.###.#..#...####.###.###....#.#.##.#####.#####..#...###.##..##....#.#####.##...#.........###....#...#..#.##.##.#.##..##..###.......#.....#.###.#.#.......#....#..#..#####....#####..###...##.....##.##.###...##.##..#.###.##....####..#..#..#.....##.###.##...#.###.##...###...#.....#.#.#####..#.#...###.####.###.#..#..#.#.###.....#..#...#....#.#..##.#..####..####.##.###...########...#..#.#.###....#....##.#.#..###.#.####.......#..#.#.#.##..#....#######.#.##......#####..#.##....#.#...###..#...........##.##.........##.#....##.#...#...#####...###.....#.##.#...######.##..####.#.#..#..##...##....####..###...#.#.##...#.....##.##.####...####..#...#...####.##..###.#..########.##..###.####....#...#.##..#..#.##.#..#..##.#.#.##.#...##.##.####.#...#.#...#...#.#.......###.#####.#####..#.#.###.#...#.##..####.####..#..###..##..#....######.#####..#.##.##.##............#...#.#..##..###..####...#..#######.##.#....#.#..#.#.#.###.#.##..#####..#.#..#####..###.#...##..##...######..##..###..#......###...#.#...#.#.####...##.##.##..###....#.......#.##..##...#####.##.##.###.###.#..##.##.#.###.##...#....#..####...#...###.#...######...#.###.#.##..##...#####..###...#..#....##.####.#....#...##...##.##....
####..#...##.#.#..##.##.######..##..##..##.##..##..####..##.#....######..###....#.##...##.##.##.###.##.#.#..#.##.###.#.#..###.....#..###...#....####..##...#.######..##.##..#.##..###.##.#..#..#####..##.####.#.#..##.###.#..#.##..#......#....#.##.#.###...#....###.##.#.##....##.####.##.#....#.#.#.##..##.##.###.#...##.#..##.#....###..###..#..#.#..#######..#########.#..####...#.###.####..##..#.#....#######.....#...##.........##.#...#.#.##.##..#.##.###.#.#....#####...##..#######..##.#..#.#.##...##.#...##..#....##.###.#..####.#.###.#.#.#.####.......#..###.#..####...##..#.##.####....#...#.####..##.#......#....####....#.#..#..#..#.###..####.#.#..#..#######.###....#..##...#...##....###...##.##.#..#.#.###...#.#..####..#.#.##....###.#.#.....###.###.##.####.####.....#.##.##..##..#..##.##..########.##.#..##....##.##.#..#.#..#..########..#..###.##..##.#.#.#.......###..##.######.#.##.###.##..#..##..#...#.#.###.#..##...#.###.####.#.#..####.####....###.##..######.#...#.#.#..##..#.#######..###....##..##..#.....#..#......#######..#..##....##.###...#..#....###..##..#...##..##.#.#.###..#.###.#....#..#.##...#...#.#.#.###.#.####....##...#.#.#.....##....#..#.#....#..####.#.#.....#####.###.#...#...#...#.#.##.###.#.###..#..#...#...##....#.##..##.###...#.##...#...#.#####.#..###..###..##..#.###.##.##..###.#.....#####...#####.#..#....###.##...#.#..###......#####...#..##.#...######.##....####..##.#.##.##..#.......##...########..###...#######.##.#..##...##..#.###.......###..##.###.#####.####.#########...##..##.#..#..#...#.##...###.###....#..#.#######.###.###...#....#..####....######....##....#####...#....##...####..###.#..###.##....#.#..##.....##.#.....#....##..###..#.##.#.#.##..##.#...#.###.#.....#.##.....#.#.#.###......#..#.##..#..#.###.#########.##.###.#......#..#.#.##.#.#...##.###..##.##.#....#....#.######.#..#...#..#.#..#.##......#....#...##.#....######.#..##.#.###..###.##.######..#.#...##.#.#..##...#..###....#...#..#...####.#.#.###..#....#...#####.#.#..#######..####..#....###..##..##.##.####.
#.#..#.####.#####..#.#.####...##.#####...#...#....###.#....#.#....######.###########.###..#####.##..###.#..#.#...##.##.#.#...##.#....#..##..#####..##..#.#..###.#.#..####.#.#..#.##.#...##.#.#...#.....#...#..######.##.####..#.#######...##...#..#.#.#.#..###.###.#......#...#...##.#....##.###.#.#.#.#...###.##.#......#...####.###..###.#.###.#..#.##...#..#..#..#.##.#.#.##.##..#...#..#.....###.##...##.#..#..#...#....##.#...###.#..##..#.#.##..##..#######...#...#.#......#..#.###.###...#..#.#..#....##.....#.##.#.#....#.#..#.##...###.#.##.###.#....##.###.#######.#...#.##..###..#..#.#########.##..##.##.##..#####..##.#.#...###.######.....##.##.#....##..#....#..#......##..###...#..#...#..###..###.#.#..#.#.###...###.###.####..#.#..#...##.###.##...#.#.##.###.##..###.##.#.##.#..#..###..#.##......#.###..#####...#...####.##.#....#..###......#....####.#..#......##.###....#####...#...#.#..#...#.####.........#.##.....#.#.#..#..#.###.#..#..#.#..#.##.#....#..##.....##...#######..#...##.#.#...#..##.....#..###.#.###...##.##...#####........##########.#.#.#..##.#.###...####.#.#####.#.#....#..#.#.###..#..#.#.#..#...####.#..##.##......##....####...#.#...##..##...#.#.#..#..#.##..#..##...#..#.###.###....#..#...#...#...##......##.#...########.#..##..####.#.#..##..##...#..##.##.#.##..#..#.#.##.##.#.#.######.#..##..#.#......#..######....##.##.##...#.....###.####.#..#.#..##.#..#.#####.###..#...#..#####..###.#.#.#.##.....####...#...##.......#.#...#.##.#.###..###..###....#...#.######.#.##...#..#..##.##..##.#..##....#..####...###..#####..##.#.###..#.#...##.##...#..##....#....#####.##.##.###.#..#...####.#.#..##..#..#..#.....#...#.#...#..#.#.#.##.####...##.##...###...#.#..##.##...#.##.#..#.##.####..##.#.#####.#.##...##.#..#..#..#######...####..##.#.#...#.#.###.##..#.##.##..###..###.##..##.##...#..##..#.....#..#...###........##.#.##.#....##..##.#.##..#.....###..#.#.#..#.....#.#.###...#..####..#..##.#..#....#.#..####...##..##.##...#.##..##.#.####...#....###.#.##.##...#..##....#..#.#...#....###..#...#..#......
#..##...#..#.#.##..#..##.###..#..#.#.##.#..#.##....#.#..####.#...#.#.#...#.#..####...#.#.##..###...#.#.##.#.###.#.#.##.....###..##.###....##.....###.#...##..#..#.######.##..###.#.#.###.###..###.#..#....#.#.###..#.#.#..######...#....#..#...#.####...#..#.##.#........#.####...#...##..#...##.###.#..###.##.##.##...#####.#.##.#....#...#.....#.#.#..#........##.#...##.##.##.#..###..#.#####...#....#.##..#..#####..#...#.####...#...#.#....##.#....#..#...#.#.#.....#.#..###.#..##..###..##.#.........##...###.###.#.#...#...##...##.#.#..#.#.#.#####..###..#.####...###.#..#####.##..#....###..#..#..#...#..#..#.#.#..##.#.########..#.##.#.###.##.#....##.#..#..########..###...#.#.#..#....#.#.#...#.....#.#....#..##.##......#..#....#..##.###...#..#..#..#.#.#....#.#..#....#..#...#..#..#.####.##.#.##....###..#..##...#..#.#.###.##..######...##.##.##..#...##.#.##.#.#...#.####...##.....#.#####..####......#..#.#.#..#.#.###.#....#.##.#..##..#####.#..####...##.#.##.###.###...##...##.#####..######.#..##..#.##..#...#.###...#.....##....##.###..##.###..#..#..##..#.#..#...##..#..........##..##..###.....####..##.#.#.#.#.#..##...##....###.###..#.#.##.####.#.......#..#...###.#.#...####.##.#...##.##...###.##.##.#.#.....#.##.#.#####.####.#..#..##.#....##.#.#.######.#..###..##..#.##.##.#.###....#....##.#.##.#####.#.#.###.#..#.###...#.##..#......#..#.###.#.......###.##.#...##.###...####..##.##.#####.###.#.....#.#.....##.##..###.#.######...#.#....##...##.#..#...###...#..##......#.####.#..##.#..##.#######..#.#.#..#.###..##...#...##.#..##..####.#.##.##...##.#####..........###.#...##.##.####...##....#..#.#...#.###.#..##.######.#.###.##.##..##.....###.##.#.#....###.####.#.#.###..#######.##..#...#####..##.##.###....##.#.##.....##.##....##.###.#...#.#.#.#....#####.#.##.##.#...#..##...####.#.###..##.###.#..##.#######.#...#.######.#...#..#.#.##.#.##...#..##...##..#.#.###.##.....#...####.##.#....#####.#.##.#..#.#######.##....####.#.#.##.##..##.....######.##.##...##..####.##...##.####.#.##.#....#...#.#....###.#....##.#.
##..##.#.#.##..#.#..#...#.##.##.#......#..#.###.#.#.#..#.##.###.#.#..#######.#.#.#..##.##..#.#..###..###.###.#..##...##..#.###.#..###.#.#.#...#.##.#.#.#.#...#.#.##.######.#.##.####.#....#...##..##.#...########.###...#.###.....#..###.#..##.##..#.####.##...#.#.####.##.###......#..##.#..#..##......##..####...#.#.###..##.....######..##.#####..###.#.##.#..#.#....#..###.#.#......#..####..###.###.##..#.##.#.#.##..#.##..##..##.#...#.#####.#...#.#....##...##.....#...#..#..###..#.......#.#.###.###.#.#....######...#.##....#.######.##...####..##.#.###..#...##.#.##..#.##..#.#.#.......##......##..#####..#....##.####.....#.#..##.#.#.#...####..##..#.#.#.##...#..#...#..##...##.###...##.#.#..#....#####..####...##.####..#.##.#..##..#...#.##..#.#.#.##...#........##.#.##..###..##.##...##.#.##....#..##.#...#.###.#...####..##.###...##.#....#.#.##..###..#.##.#.#.###.##......###.#..###..##.####..###.......###.#...##.#.#.####.###.#.#.#..####..#.#.....###...###.#.##.#.##.###....###...#####....#.#...##...##.####..#..##......########.#..#.#..#.##..#.##.#...####.###.#.#...#..###...#....#.#..#..#.##..##.......#.#.#...###.######.###.##.#####.##.##..##.###.###....##.#.#.#.##.##..##..#####..#..#.#......##.##.##..#.##..###....##########.#.##..###..#.#....##.#.##.####....##.#.##..#.##.#######.##..####...###.##..##.#..#.......#.###.#.....####.##...#.#.##.#.#.##...#####.##.#..#.#.####.#..##.#.#####....#.#....#.#####..##.#.#.##..#.#######.##..##.#.#.#....#...#.##.#.###.......#####.#..###.###.##.#...##.....####..##.#######.#.##..###.......#..#...#.....#...##.#..##.#.....######.###.####.#####.###..#....#.##..#..#..#######...######..##..#.##..#..#.#.#..##.##.#.##.##...#####..#...###..##.############..#...###.#.###....####.....#####.##..##..#.#.#..#...#..#######..##.......##..#....#.#..#.#.#.#.....#..#####.#.###..##...#.######..#....#...#.#..#..####.##...#......####.#..#..#.##.#######.##.#..#...######...#..##...##...#.#...##.#.###.####...#.....#..##.####.####...#####.##....###......#..#..#......#.#...#...###
##...#..#....#....##...##.##....###.###...#.#####.....#...#.###.#..#...###.##.###...#....#.##..##...####.#.##.#..###....###..#######.#.#..#.#####...####.##..##..##...#.##.##.#.##....###.#......#....##.##.##.######..#.#.##..#.#......##..#.#.#.#..#.#.#..##.##.#...##...#.#.#.#.#.#.#......##.....#..#..###....#########.#.##.#.##..#.###....#...####...##..##..#..#....#.##..#..###...#.#...###.#####.####.##.##.#.....#..#.####....#....#####.....#.#######.#.#.#.####.#......#####.###..#..######...####...##..#.######..#.#.#...#.#..#....###.#####..##.##..#.#.......#.#..#...###...#..#.#.#.###..#.##....#.....#.#.#.##..#.#.##.####..##...#...#.#..#..###..#.##.#...####..##..##.#..#........##.....##..##.###.###...#..#.....#.#.##..#######.....###...###.#.#..#.#...##..###..#...#.##..#....#.####.######.###.#.#..##.###.#.#....##..##..##.##....#.##.##..#...#.#.###.#...###..####..#...#..#...#.###.####...#.#.#.#.##.##.#.....#....#..##..#..#.....####.#.#.########.###.#..##.#...###.#.#..####.##...####.#.##....##.#..##.#.###.....#...##....#..####.......#..#.#....#...##..#.#.####....###...#####.##.#..#.###.##...#..#.#....####.#.#.####.#.###..##..##.#.##.#...###......#..#....#.#.#..##..##..##...#.##..#.#...#.#..###.##.####.#..#.#....#...###.#####..#......#..##.#..####...#....######..####...##.##..##.###......##.##..##.#.##..#...#..#..#.#...#....#.#.###..#..#...#.#.#..#..##.#..#....###...#.####.#.##.#...#.####..##.#.#........#..#..#.##..#.......#......#.##...#.####.####.###...####.##...##.#.#.##.##........###.#####.#..##.###...#..####.#.#...####.##..#...#..#..#...####.#..#.####...#..#########....#.###.#..#.#.##..#..#.#..###..###.######.##...#......###.##...##...#..##..#..##.#####.#.#...###.#.##.#.#..###.############.#####.....###..#.####.#.#.##.##..#..#....##..###...#..#.#.##..##.#..#.##.#..###.#.##..#.####.##.#....#.#.#....##..#..###.##..##.##.#.##..##...##.########.#.#....#.##....##..#..##.##.###.######.#.#.##.#..#.#..##.....#.#.#.....##.##..###.#.##..#.....#..#...##...#.#..#.####.#.###.#..####.#
....##.#..#...#..#..#...##.##....#..#..##..###..####.####.#.####...#..##.##.##......#.##...#.#...#.####.#.#...##.#.#.#...##.....#.#.......##..#..#####.#....##...###.##.##...####.#.#####...##........##....##.#########.#..##.#...###.#...#.#.#...###.###.#####...#..#.##..#.####..###....#####.#..###.#.#...##.#.#..#####.####..##..#.###..#.#####........#....###.#.##......##...####.#..####.####.#..#..####...#.#####.#.#.##.####..#.####..##.....##...#.#......#.....#.##.....#..###.#....##.#...####..###....#.##...##.#...#....#..####.###.#...##.....####...#.###..##........##..######.##.#.###.#.#######.#.#.##.######.#.####...##.#.#..##.#...##.########..###.####.......###..#.###..###..######.....#..#.##...##.#.####.#..#.###.###.##..#.#.##.###.#.##......##...#.#.#.#.###..#.##...##.#####.###.....#.#....####.....#.#.#...#..#.#.....#.####.######.##..#.###..####.##..#.####.###..#####....#######.######.####...###..#.###.#....##.#.##.####..##.......#.#.#...#.#.######.##...##.#..##.#...#.#..###..#.##..##.#.##.###.#...######.####...#.##.#.###..#.#.##...#.#..#.##.###.###.#..###.##..#.#...#.#..#....#..###...#...#.##.#.##..#.#..#..#.#.###...##.....###.##...#..##....##...#.##..##...#####..###.###.#.##.##.#..#.###.#.##...#####.....##..#......####.##.#.##...###.#.###..##.##..#..#..#.#####..##..##.##.#...#####.##.#.#..#..##...#.#....#....#..##...#.#...#.#######.##......#######...####.#.#.#.###...##.....##.###...###....####..###.#..#.#..........##.....#.#.##.#.#####.###...#.#.###..####.###.#.#######.#.#...######.#.####.#.##..##...#.#...#.#...##.#.#...#.#..#####.#.###.###.#..........###.##.#.###.#..#..###.#.#.##..######.#.#........#..#..####.##..#.#.##..##.#....##.#.##....#.##.#...####.#.##....#.#.#...###..##...#.###.##.#...####.#..#########....#.###.#...##.#....#...###...#..##.###.#..####....##.#.###...#.#...#..#.##..##....#.####.#...####.##.##.#.#........#.#.#####...##..#####...##.#.#.######.#####..#..#..#.#..####.#.##.###.###.##...#.#..#.....#.#####.####..####..##.###....#..#..#...##...####.#.##
#...#...#..#..#.#.###.###.#.###.#....#.#...#.##.#..#.######.#####..#....#.#.###...#..#.###..#.#.#.#..#..#....##..#..#.#...#.##.....#...#..###...###..#.#.##..##.##.#..#......#.....#....#..#.#.#..#...#..##....#.##.##.#.#.###.###....##......#..###.##....##...##.##.#####.######.#....#..#.#.#.#.###.#..#..#.......###..######.###..#.##.##.#...........#...###.##.#.##.######.##..#.#..####..##.##...#.##.#.##......#....######.#..#.##.##.#...#...#.#..#.####.#######..##...#...#.......#...###..##...#...#.#.....#########.#..#....##.###....#.####..#...#.#.####.#.##.#.....#....#.#.#.###.#.###....#..##....##....#..##..#.####.###.#...#.#.#.....######.#....####......##...#.#..#..#.#######.###..##..####.#...#..##.##..##..#.#..##.#.#...###.#..####..#..#...........#..###.#.##.##.##..#...#.##.##.#.#####.#.#.###........#.##...##..#...##....####..#.##...#.##.####..####.#..##.#..##.#..###...#.#.#..#.####.#.#..#.#####..##..##....#.##...####.##.#...##.#..#..##.##..###.####.###..#..#.###.##...#.##.###..##.##...#.##.#.#.######.#.#...#.#.#....##.##...#####.#..#...####.#....###..##..###.###..#.##.####...#..#..#.###...#.##.####.#.##..##..######.....##.#.#.#..#.##.#.#.#####......#.##.#.#...#####.#.#...#.#........#.#.##.#.#.#..##.####..##....##..#.......#.#......##.##..#..###.#.##.##...####...##.####.#...##.#...###.....#..####...#..#.#.##.#####...####..#..##..##..#.##..###.#..#.#.#.##.#..###..#.#####..#..#...#..###....#..##.#...#.#.####....#..##.#.#......#.##...##.#.###....##.##..##..#.#.##...##.#...####.#..#.###..#..#.##....##....#.#..#...##...#.#......##.####.#.####..#..##.##...##.####.........##..###.#.###..#.###..##.#..##.....####.#.#.##...........#..###...#..##.##.#....######.#.#....##.....#..#...###.##.###...#...#.####...#.#..####.#....####...#.#.#..#...#..##.####..###.#...##.######....##....#..#..#####.########...#.....#.....#..#.###.###.....#.#...#.##..#.....##.##.##.#..#...##.#.####.........##..##.#.#....###.#.###.#.####..###...#..###..##.########.#..##.##..#..#.#.....####...#.###.........#..
##.#...#.#..#..#.###.##..###......##.##.##..###..#.###.#..####.#...#.###..#.#....####..######.####..##..##.....###.###.#...###.##.#.##.####.##.#.#.#.###.####..###.#####.##...#####.#.#..#....#####...####....#.....###..##..#...#..#..####.###.#####.##.#....###.....#.#....#.##.#..##..#....###.##.##.#########..##.#...##.##.....#.###.####..##.####....##..#.###.###.##.#..#.######.....#.#.###.#.##.##.##.####..##.##.###...#####..#..#.#.#..##.#....#....#.###.....#.#.#..#.##..######...####...#.####...#..###.#####.###..........###..#.#.........#.#...#..#..#.#.#########.#..##.###.#...#.###....#..##.#.#.#..##..###..#..##..#..###.###.#.###..#....######...##..#...###.#.##..######.#.#..#.####..##..###.......####...#.##.###....#..###.#...##.....##....#.##..#..###.#...##...#.#.##....#..#.##..#..##.#####.#.#.........####.#.##...##.#..#####.#.....#####.#.#.##..##..#.#.##.####.##....##.##..#####....#.##...##...#......#.#####....#.####.#.#####.#.##.#.###..####...###..#.#..#.###.###########..#.###..#.##.#.#####.#.###.#####..#.#.........#####.#.#..#.#.#....##......#..#....###...##..#.##..#..#.#....#.#.#.#...##....#.##.##.#..###...####....#....####.##..#.##.##..#..#####..#.#....#.#.#.#.#######...#.#......#.##...#.#.####.#######.#..#.#....##...####...#.#.#.#..#..####..###..#.#####..##.##..##.#.###.#.#.##..#.#..##.#.###....##.#.#...#.#.####...#.###.####..#.##.#.#.#..####.#.##.#..#.#.#.####..#..#.#########.#.#.###...#.##....###..#.#####.#####.##.#......##.##.#.....##.#...#...##.#..##...##.#..##.#.#...#..#.##.#..##..#.##.####....#..#....#.##..#..#...#..#....##.##....###......###..#...#..##..#.#.####.#########.###....#..##.#..###.####..####..##.#..###.....###.......#..#..####..####.##.....#####.###...#####.###.#.....#.##..#####....#.##..###.#.####.#..#...####.##.###..###.....##..#############.#.##.#..#.#...#.#.#####...##.####..#.#..#..####...#.#..#.#...###.#.#...##.#...####.#...##..#....#.#.#.#...##.###..#.####..#.#.#.#...#...#.#.#.#....#..##.#.###.#..#..#.##..#....#.#..##....#...#.##...#.#.#...#
.#.#.##..##.#....#.##..#...#.##.#.##.#..#.####.#..##..###..#..##.###..##.#..####..#.###.....####..#..##..#####.##.##.#.###.##..#.#.##...#....#####..#..##..##.#######.#.##.#.....#...#..##.#..##.#.######..###.#####.#..#########..#......###..#.....#.#.#######.#######.##.#######.#.###.##.#..#.#.###...#.#.##.####..#..###....#.#.##...###.##....####....###..#.##.#.#.##....##..#.##..########.####..#.#.##...#.#.###..#.##......###..#####..#.#.##..##..#...#..#.#.#.#####..#..##.##.##.##......##..#.##..##..#..#.#...###.#.##..#...##.##.#######..#.#....###.....#.#.#..##....#.####....####..##..##..#........#.##....##.#..#.###...#..#.#####...#.#...#####.###.#...###....#..######.##.###.#...##.##.##..#....##...##.#.###.###.#.#.#..##.###.#.##..###..#.#.#.########.#..##.###....##.####.##.#....#....#####...#..##..##.#.#..##.#......#.#####.##.....###.###....#...######...##...##.####..#.......###..#.....#......##.####...##.######.#.#..#....######.#..#.#.#.#..#......#....#.#.###..#..####.#.#.#..####....#...###..#.#....#...###.#.#.###....####.#..##..#.###.###...###.#..#.#######..#.#.##....##.#...#...#..##.####.#..##.###.#####....#...#.#..##.#.#.#.#..######...##.##.#.####..#..#...####.#.###.#.#..##......##.##...#.....##....###.######..##.#.###.##.......#.#....##...#..##.#..#.##...#.##.......##..#.#.######.###..###.##....#.#..#.##..#.###.#..#...##....###.....##.#..#..#.#.#..#.###.#..#.#######.##..#.....####..###.#...#..#.#.#.#.######.#.#.####..####.##.##...##.##.#....#...#.###.##..#.#.#.#.#.#.#.#.#.#.###.##.#####.#.#.#..#....#.##.#.#.#.##..#..........######.####....##.#.##....#.##.#####.##.#..#.#.###..#....###.####...#....####.#..###...##..#..###.#..#.##..########.#..#.....#..#...#.#..#..#.##.##.#....##....#....##.##..##.####...##..##.###.##.##.#..###.......#.#..##.###.###.###..#.#..#.#.#...#####.......##.#...#.###...#.#.###.#.#.###.#####...#...#.#.##....#....##.....#.....#.###..#........#####.#.##.#..#.##...##########.###.#.##.##..#..#..######.###.#..###....#..#.....#.##..##.###..######...###
#...#.#..####.###.#.##...#.#.#..####.......###....#.#..####...#...##.....#..#.#.###.##..#..#.##....#...#.####.......##.##.#..####.###.####..###.#.#####.#.###.##.#.###.###.##.#.######.##.#..#.##.##.##..##...##.######.#.###...#..##.##..##..#.##..##.##.#..#..#..##..##.###....####......####....##...#.###.###..#.###..#..####..#.##..###.#..##....#.####..#..##.....#..#####.#..#.#...###.#....#......##..#.##..####..#...###.##.....#.#####...#####.##..#.##.###...###..####...##.##..##..####.##.#..##..#...#..#.##..##..###....###..###..##.#####..##...##...##..#.....###.#.##..##.......#.#.####....#..##.###..#..#....#...####.##.....###..#...###..#...####.....##.##.#.#...#.##.##.##...#######.#..###.##.#.##..#.....#.###.#..##...#..###..####.##.##.#..#...##...#.##.....#...#.#..##......#....#.###.......###.##..#....##.#.###.##..##.##..#.....#..#.#.#.####.###...#..##.##.#######..##.#.###.....#.##...#....##...##...##.####..#....#..#.......#....#.####.##..####..#..#.####.....#####..#...#.#######.#.#.#....#.#.#.######.##.#.##.....#....##...##.#..#....##.####..#......#####.#.##.#.....#.###.#.##..######.##..#.#.#......##...#..........#.....###.##.####.##...###.##...###..###.#.##.#..#.###..######.###...#.#.#...#.######.####.###...#.##.##...###.#.#..#.#.#.#.###.##..#..##.##.#.####.####..##...#.#.......##.#..#.#..####.....###.#.#.#####.#....##..#.........#.###.......#.#####.#.####.#.#...###....#......#.#.#....####..###..##.#####.###.###.###..#.##...##.########..##...#..#.####..##.#.##...#.###..##.###.#.#.####..#..##...#...#....#.####.....#...###.#.#.....##...#..####.###..###..#.###..##.#..#.##.######..#.#.#.#....#####...##...#.#.###...#..##..#.##.#.##...#...##...#.#.###.##.#####..#..#..###.##..#.#.#....###..#..###.#...##.##..#####.#.#####.#.##.##..#..##........##...#####...#...###..###.#.#..#.##...####.##...####.#..#.#...##.#..........###...#.#...##..#.###..#...#..#.###..##.####..#..#.#...#.#.#.###.........#.#..###.#.##.##.#####.#....#.......####...###...#.....####.######..#...#.#.#.###.#.###..
####.#..#.#..#...#......#.#.#....##.###..#.....##..##.#.#...#..##.###..######.#.####.#.#.##...##.#..#.##......##.#.#...#...##.#......#.#..##..##.###......#####.#.#....##..##.#...###.##....##...###.....##...###.#..###.....#..###..##......###....###.###.#.##.##..#..##.###..#..####..##.##..###########.#....#......#...#.##.##.##.##.#.#..##.#.....###.##.#.#.##.#..#..#.##.##.#.########.######.###.#..###.#.....###.#######.##...#..##..#.##.###.###..#######..#.##..#....##.#######...#.#.#.#...#..#.##.##..###..#.#........##.##.##...#...#.######.##.#.##...####.###....####...###.#.##.#..#..#..#####..#####....#.##.##.##..###.#####.#....##.#.#.....##..##..#..##...##.#.##.##..#.#.##..###.#.##..####.#.#.#.#.##.....##..#.##.####.#######.#..#.....#.#.##..##.#.###...###.#..###.#..#..###.#..###.#.#####......#######.#####....##.#.#.####.#.##.#......##..#..#.#...#.#...#.#..##.#.....###....###..##..##..#..#.....##..#####.####.###.##.#.###.......###...#..##..######..##..#..##..#.#.#...#..#.#...##.#.......#...#.#####.##...##....#.#.##....###...#....#...######.........#.##.#.##..##...#...#.#...##.#.#.###.#..##.#..##.##..####.#....#.###..#..##..#.###.#.#..##...#..####.#...#.#...#.#.#########.##.###.#.......#......##.#.#..##..#....#...##..###...###.#..#.#..##..######.#.#...##.##.#..##.###.####..#..#..###.#..#..#.#....#.#....###....#.##.#.####...#.#.###.###.#.###.#..###.......####.##.#.##.#..#####.##.###...#.###........#..#####.....###.#...#..#..##.#.....##.#..#.#..###...##.##..#####.#....####.##.#......#..###...#.###..#.##########.##..####..#..#.##..#..##..##.#...#..###..#.#.#.###..#........##..##.##...#..#.#.#####.##.......#..##..#..#...#.....#..#####..#.##.########.#.#.....#.#.######.##.#.#####.#..####......##.##....#....#.####........#......##..##.#..##.####......##.#######..#.#.##....#..#...##.######.##....#....##..###.##...#..###...#..##.##...##....###.#.####.####..#.##.#######.##.##..#.......##..###.#..####.###.#......###..#...####.##..#...#..###.....#.###.#..##..#..#.##..#...#.##..#..###
#....#.####..#..#.##.....#....#....####...#.#.##.#.#....##.####.#...#.#..##.#.#..###.#.########.#..#.#.#....##..#######.###..###.......##..##....##...#####.#.#...##.#.##....####....###..#..#.#...###..#...#####..###..#.....##.#.#.##...#..##########.##..##.#..###.##.#...###........#.##.........###..#.##.##.....#.#...###.###.########.##...##.#..#...##.####...#.#..###.##.#....##.##....##.#..###.#.##..##......#.##.#..###.#...##..##..###########.....#.###.....#####..#..##..#.#.#.###.##.#.###.....##..#.....##...###...##.#.#.#..##..###...###.####.######...##....#.##.##.#.####..#...##.#.#.##..#.###.##.#.##.....#.#....#..##...####....#..#..#....#..###...###...#..##.#####.###.###....#.###...#.#..##..###...#.#...#####.#.###........###.####.#..####.#....#.#...#.........#..##.#.#..##..######..##.#.#...#...#...##....##.#..#.##..#..######.##.###.#.#.######..##..#..########.###.###..#....#........#....####..#..##.##..##.#####......#..#.########.#####.#.###...##.#######.....###.##.#..#.....#...#..##.#.#.#####.#.#..##.#####...##......###..........#.####..##.#.#.##..#.##.###.#.#....###..###..#......#......#..#.###....#######.####..#.........##.#.##...####.#####....#..##.##....#.#.....#..#.#.##.#.###...#.#.#.##.#...#........##.###..#..#..#..#....####.#..#......#.#.######.......#.........#.####.##..#.#..#.#..######.#.#....###.#.....#.##...#...##.#....##.#...##.#....#..#.#.......######...#...###....###.###.##...#....###.##.###.#.##........##.#...#.#.######.#.######..###..###.#.#.#..#.###.#..#.####.#......##......##..#..####.##..##......#......#..#...##.###....#...#.#.......###.#..#.#####.###..##.##......#...#####...#####..##......##.##.###.....###.##.####.#.#..#####...##..#.#..#..##..###..####...#...##.##.#..###..##..#..#....####..##.##.......#.......#.#.##...#..#......#.####.#..###.##.#.##.##...#.#..##...#...#.#...#.#....#...##.#########.#..##.#......#..#....#.#.###.#....###......#.#.###.###...##..#.###....##.#.##..#...#.###..#.#.#..##.###..###.########.##.#..#..#####.#.###.#.....#.#.##.
.##..#..######...#.##..##.##.#..##.#.#..#.#.##.#....#..#.########.#####..#...#.#...####..#####....##.#.###.#.######.##.###.#.####..#.####..#.##.#..#####.#.#..#.#...####.#.......###.####..#...###..#.....##..#.#...#..#..#..#.....#......##..##.##...#.#.##.###.#.########.##.##..####..#.#######.#######.#...#..###.##...####.....###....####.#.###.##.#...#.......#.#.####...#######..#..##..##..#.#..##.#..#.##..######.#...#...#..#..##.#...##.##..##..#.#.......#.###..###...#...######.#.#.###..#.###.....###.#...#..#..#..###.##..#..##.##.##.#.#.####.#....#.#...####.##....####.###.#.#...#...#.##.#..####..#.....##....###.#.###...##..####..#.#..#......##..#........#..####.#...#.###..##..######........##.....#......#..####.#.#..#..##.###.....###.#...###########.#..#..##.....#..#.#..##..#.#...#####..#.#.##..#.#..##.##..####.....#...#########.##..###..####.###..#.###..#....##..#.###..#..#...#.###.###.##.##.##.####.#.#..#....#.###.#.###.###.#####..#.....#.##.#####....#...#.#.####.#.....#.#.#..#.#..####...##.#..#....#..#.######.#..##.##.#.#...#.#.######.##.##..#.###.###..#.#.#..####.#.#.#..#...#.##...###..#.#...#######...#..##..#.##..##.####...##..##.#.####.###.......#..####.#.####..#.###.###.####.###........#.....##.#..#.###..###.##.##.##....####..##...#.#.#.#######..#....##..#.#.####.#..##.####.#.##.#.##...###..#...##.#####....##...###.##.##.......##.##.###..##..#...##.######..#.##...#..###...##.#..#...##.###.###...##..#.#.#..##.##.#.##.####...###..##.##.#####...###.###.......#.#..###...#.####..##....#####.####.#...#...#########..#........##..#.#..###.#..##...#..#.###.#..#.##.##..###..##.#..##......#..###...#.#..##..#...#.......##.#.##......##..#.#...#.#...#......###.#####.##..###..###.#.#####...#.#...#.####...#.##..#..##..#.#.....#..#.#.#..#.#.#.##.##..........##.###..####..#.##..##.#....#.####.##..#...#.#..#...###.##..##.##..##.##......##..##.##.#....#...#...###..#.....##..##.##....#.....#..#.######...#....#...#.#.....#######.#...####....#.#.#.....#..#..#.#..#...#...#####.....##..#.
##.#.#.##.#.####......#.#####..##...##....#.#.###.....#.....#.##..##.#.###.###.#..#.##..#...#.###.##..####.#...##...##.....###..#...##..##.###....##...#...#..##.#.##..#####..##...#.#..#..##.##..#..##..##.....##.##.##.###.####.......#####.#..#.############...##.##...###...####....#..##.#.#.#..####.##..#...#.####..####..#......#..#.#.##....###.#....####.###...#.##....##...##.###..###..#.#..###...#.##.#####...#...####..#.#.#..#.....##.##....#....##.....#...##..##.###...#.###.###.###...####.#.#......#.###..#..#..##....##.##.#.#.###.##....#..#..#.#...#..#.#.....###.#.##.#.#..###..#.#..###.....#.#.....#.###...#######.#...#.###.##.####..#.#...#.##.##.##..########.##.#...###......#.#.#####.#.##.....#.....#.##.#.###........#####..####.#.#.#..#####...#.#..#######.###.####....#.###.#.#.##.###.#...##..##....##....###...##.#......#.#....###.#...#.##.#..##..##.....#....##..#.###....##..#####.###.##.#...#.#.#.#########.###..###..#.##.###...##..#.#..###.#...##.#..#...#.....#..#..#...#.#.#.#.#..#.##..##.###...##.#..######.##.#..##..#.##.###...#..#########....#.###.###...#....###...####.#...###..###...##...##..#.##.#####.#..#....#.#.#...##.#..#.##.#...#.####....###.#....###.##..####.#..##...#...##..#..#.#####.......##.#.##..#..##......#.#.##.#.##.#.##..#.#.####.####.#.##.#..##..#...#.#.###.#.....###...##..#...##.#.###...######..####.#..#.##.#.###....####..######...####.##..#.#..#####.....#####..#.##.#..#...##..###....#....#..##.###..##.#.##.#.##.##.##...##..#..#.#.#.##...##..##...#.#.##.....#.#...##..#..#...#..##.....#..##.#.##.#...#.#..###......####.####....#.#..###.#..#####.#...####.###.###.#...#.###...####...#.....#.#.#....####.#..####.#.###....##.##..#..##.#####.#......#.##.......###..#.#.....#..##.#...####...#######.#.###.##.##.#....#.##.#...##.....#..#...##..###.###.#...###..####...#.#.##..##.....#..##..###..#...###.###.##.##...##.####.###....##.#...##.#..#.#..#...##.#.....#...#.#.#.....###....##..####..###...##..#.####..#.#.#####..##...##..#.#.#.#....#...#..####.#..##.#...##.#
..##.###.###.####......#..##...#.#....#..###..#....#...#.#.....#..##.##.#.....#....##.#..#####.#..###.#.##..#..####.###.###.#.#.###.##..###.###.##..##.#.####..##.##.#..#..##...###...###....##..#..###.#....###...##.##.#........#.##...##.....#..#....##.#.##...#...#.......###..#...##.#..#######.##..####.#..#..#....#####.....#......#...##......#....####...##..##..#.#.####.#..###.#....##########.#...#...#....####...##.##.####..#....##.##.....####..#.###...##...#.#.#.####..###....###.#.##......#....##.##.##.###.##..#...#.####.####..##..##.#.#.###..###.#.#.#..######..####....########.#.###.....###..#.###.##.#.#.#####...#.#....#...###.#....#...#....#.##..#...##..#...#.###.#...###.#..###.#......####....#..##.#.#..#.###.##..##..######.#..#.##.#.###..#####...##.##.#...####.#####.#.#..#....#.####.######..#...##...#....#..####.#..####.##.###...###.#.##.##...###...#..##...###.#..#.######.##..#.#.##.#..#..#.###.###..#........###...#.##...#..###..#..###.#..##...#####..#.#.#.#.#.#..###.#...##..#.#...#...##.......#.....#...##...#.#..##.##.##.##.#.#..#.###...#.#.##....#.##.##..##.#....#.#...##..###.########..###.#.#...###.....##.#.####.##....###........##.##.#...#.........##..##.########...###......#...#.......###..#....#....#.#####.#.##.#.......#..##.....#...#.######.#.##.#.##...####.##.........#......#...##..#.#.####.#....#..#.#.########...###.#####.####..#.....##.....##.###.#..#..#.####...##....####.....##..#..##.###.#.##..#.#..#...#.###.###.#..##.######.....#..#.###....#.##.##..#...####...##.####.#......###......##.####..##.#....######.###..###.#.###....###..###.....###.#...#..#.#.#..##.#......#####...##..##..#.#.#.####....##.#.#.#...#.###....#....#.#.#..#.###.#.#.#...##..#.##.#.#....###.....#..#.#.###...#.#.######.#...#..###.#..#........#.##.##.....#...#####.#.#.##.###..#.###..#....#.##.#...##.##.##..#.####...###.#.##.###..###......#.#.###.#..#......#####..##.##.#######...######.###.#.##..#.#..##...#.#.###..##.#.#......##..#...######.##.#...#####.#..#...###.##..#.####....###.##..
#...###.##.##..#..#.#.#..#####.....##....#..##.#.#.####.##....##..#....#.##.#.####.#.#.....#.##..#.####..#.#.#.....#.#...#..##.#..#.####.###.######..##..##.#.##..#.###..##...##.#.#..#..#.#..#...###..#.#####...#####.####.......##.###..#.###....###...##..##...####.#.######.#####.#.##.##########...#.....##.#.##.#.#...#.##...#.#..#.##.###..#..#.####.#.#.#...##.#..##..####..#...####.#..###..##.##...#.#..#.##.#.....#..#.###...##...###.#.###...###.#.##..##...#.##.####..####..#...##..##.....#...#.#.....#.#.####..#.#.####.#.#.##...#..##..#..#..#.###..#...#..##..##..##........#..##.#..###..##.##.####.##..##.####....#.#.#..######.#.###...##.#.###.#######..#..#..###.#....#.##..##....##.####...##......##..###..####.##...#.#.......#.##.#.#.####.##..#.#..#..##.######..#.##.######.##..#.#...###..####...###...#.###..#..#.##.###..#.#######..#.###.#..#...###.#..#....#...#.###.....#..#.###.#.###......###.#.##...##..###..#...##.###....#.###.#..####..####..#.####..#..##..#####.#..#.#..#......##.###.####..##.####..#..#####.......##..###....#.#.##.#.##.#..#####..##.####.###..####..##.#.##....####.#..#.##...#.#..#.##..#.##.#...#...##.###..#.....#.##..#...#..#.#.###...##..##.###.#..##..#.#..#...#.##..##...#.#..###...##..######.##.##.#.##.....##.#.....#.##.#......#######..#####.##...#...####.##..#.....#.#.####.....#..#.....###.######.#####..#.......#.##..#####...########.###..###.#....#.#.#..#...........#####.##.####..#######.##...#.##....#...##...##.#.###..##.....#...#.##..#.####...####.#.#..#.#....##...#.#....#.##..##..####...#.###..##.#......####.#....##.##.#..####.###.#.#.#....##....#...#..#.##.#.#..###.##..#####.#..#.##.#.##...#.##.....##....#.##.###..#.###.##.##.#...###.#.####.###.###.##..###....##..#...###.....#.#.##.#..#....###.#..#.#.###...#.##.##......##.##...#.###..##..#.##.#.#.###...#.#...#.#.#.#.#.##.##.#..#.#.##.#.#...###.###.####.#.####....##.###.##..###...#....###....#..#.#####.####.##..#...#.#...#.#.#..#####..#..#.#.#..#.#.####..#..#..####.##.####.....##.....#.#..#...###...#.
.##..#...##...##..##.#.###....###.#..#.###.#...#..#.##..###..####..##..#.#..#...##.#####...#.#..#.#.##.###...#..##.#.##.###....#.#######..##.#.###..##.........##.####.#..#.#......#.#....#.########.###.#..#.#...#...#.######.......#####.##.####........#.####.#.###..##...#.#..##....#...#...##.##.#.....##...##...###..#.#...######.##.##..#..#.#.##.#.#.##...#...#.#.##.#..##..##...####.#.#.####....#.##.....##.####..######.########.#.#....#####.######.##.#...#.##.#...##.###.#.#.#...####..##.#.##..#.#.#.####.#..##.###..##.....###.#.#.#....#.#.#.#.#.##..#.##...###.##..#..#.#...#.###.##..##.##.###......#.#..#.#.##.#.#####...##.#......#.#.#..#.###.##..#..###.#.#....##.######....###..#.##...#.###..###..####.#...#.#..#...######....#...#..###.##.##...#.##.#..####.###..##.#.#.#.###.#.##....###.##.#.#.#.#####..#...#.....##...######.#.##...#...####.####.#..##..#.##.#.#.####..#.#..##..#..####..#..#..#..#.#...##.###..####.#.###.#.....#....##.##.##.#.######.#.......##.#.#.###.#.###..#...#..##.#.###.#.###.##..#...##..#.###.##..##....#.......#.#..#.#.....##..#.###.......##..#.#.###..#.###..######....##.#.#.##...#####...###.#..####..#.###.#####.##.#.#.......######..#.##.#.#...##.#.###..####..##..###...########..#..#.###..#.######...#.....#..###.#......###.##..#.......#..##.##.......##.##...##...##.#######.#.#####...#####.##...#####..#.#.#.#.#..###..##...#.#.##.#.######.####.#.#####.##.....#....##.#.####.#...##.##.####.#.#...#..######.....#.####..##.##.....#.#.##...###...#..##.#..##..##.#.#.......##.#####..###.#.#.##...#...#...#...#..#.#..###.#..###.####...######.##.#.#.#.##..##.#.##..##....###....#.##...##.####...###.#.#.##.##.##.....##.####..#..#.###...###..###...#.#..#.##......#.##.#..##..#####.######.#####.##....##...#..#..######...#..#.#####.#.##.#.#..#.#####.#.####...#..#..###.##..#.####..######.#.####..######.##..#...######.#####..##.#..####..#..#.###..#...#.#.##.##...#.#..#.#..###...##..##.##..#..#.######.#.#.##..##.##.#..#....#.#.##.#.###..#.##.#..####...###.#.##..#...#..#####.....
##.###..#.#..#...#..#....####...#...#...##.#.##....#.....###.###..#..####.###.#.#...###.#.####.##.###..#.#...####.###...##.#.#.#.####...####.....#.#.#..#..###.....#..#.##.###..####..#####..#..#...##..###...#.#..#....#...#.##.##....##.#.#.#.#.###..###.##.##.###.#.#.#.######.#.#.###..####...#..#..##.##.#.#.###...#######.##.##.#..#.#####.##.###.#.#...#.#.#.####...#..#.#.#.#.#.##.##..###.##.###.#.##..#....###.#######...##.#...######..#..#...#.####...##.###......#.#.#####..##..##..#.#.###.#####.##..####.#......#..###.##.##..###..#.##.####..####...##.#..###.##.##.#.##...#####.###.#..#..#.#.#...##...###...####.#....#.####....#.#####...#.#...#.##..##...#.##..#.##..###...####.###.######.#..##.###.#.#..###......###...##...#####.#...###.###.###.##..##....#.#..##..#.##.#..#.#####...#.###.#.###.#.##.###.####..#####..##.#.###...##..#..##......#..#.##..##.###..#.#..##.#..###.######...#####.##..#.##.#.#.##.####.#.##...##..#.######..###..#....#..####.....#.....#.#.#.#####..##.#.#.###..###.#...#....#.#..####.##..##.#.#....##.#.###......#..#.##.##....####.#..#.####..#.#.#.##...###..#.###.##....#####...#....###.##.####.####..#.###.###..##...##....##..##.#.###.#.#.##.######.#.#..###..#..#.##.#.....#.#.#####.##.....##..#..##...##..##..#..###.....#....#..##.#...#.#####..#####...#.##.###..#####.#..#.#.##....##..#..##....#....#..#.....#..###......##...#...#..##..#.##.#.####.#..#.####.#...##..#.#..#.#####..#...##....##...#...#..#...#....#.#...####.#####..###########..#....#.#..###..##.#..##.#.#..#.###....##.#..#.#...#.#.#.##.#.........#.#######..###.###..##.#...#...###....##....#.#.#.#####...#.#####.###..##...#.#...#..####..##..##.....##.#.##.##..##...##.##.#....###...##..##......#..#..###.###.#########.##..#.#..###.######...###..#..#...##.....#######..#.##..#.###.###..###.#..##.###..##......#.##.#.#.###.....##..##.#.##..##..#####.#.#####...##..##...#.#......##..#.#..#..#.########.#....#..###.#..#....#..###.###..#.#..........#########.#.#.....##.#.#..###.##..#...#..#.#.#.#.#......###.####..#
#.###.##..#.#..##..##.##..#..##.....#....#...###.#.####....##..######....##....#..#..##..########..####.#.#.#####.#####.#...#.#.##.#.#..#.###..##.#..###..###..#..####.####.###.....##.#...##...#####..#..####..#.#.#..#....#..#...##.....##..##.###.###.#...#...#.##..##.#.#.#.#.###....##.#..#.#..#...#.##.###.#...#.###..##..#...###....#.#..#.#.##..##.###.#.....#.###.#....###...####....#...##.#.##....#.##..###...##..###....#.#.#.#####.##..###..##....#.#....###.###....#.#.#.##..##.###.#.#..####..#.....#..#...#.##.#.##.....##...##.####.######.##.#.#.###.#####..###.###.##..##.....#..#...#.#..#.#.###.#..#.##.#..#.#...#.###.###.###.#....#...#.##.##....#.#..##.##..##....##.#........#.#...###..##..#...##.#.#.#.##...##...##.###........#.###..##..###...#..#..#...##.##.#.####.###..#.#.#.##..####..#.#.#...###.#...#.##.#.##....#.#.#..#.#.##....##..###...#.#.##.##.###....#.#..####.#.##..#...#...#..###..#.#..#.##...#####.#.#.#..##.##....###....#.#...#..##..#.#.##.########..######.#.##........#..#.#....#.#.###.#...##.######.#....#.#####.#..##.........###..###.####..###...###.#..#....#.#.######......####.##.##.##..##.#.##..##....#####..#..#..#..#..##.###.#....#.#####.##.###..#.##..#....###...#..#.....#.#..#....#######..###..#####.#.#..##..#.###.###.#.##.#.###....###.#.##.#..#.#.##.##..##.###.#..##.##.##.##.##.###.##..##...#.##..#.#...#...##.#..##..#.#..#..#..###..#.#.###....###..#...##.##..#....#.###.#.#.##.#...##....#.#..##.#.#.#..#.#.###.....#...#.##..#....######..##.#...#.##...###..#..##.##.##..###..####..#.#..##......#...#.#.###.#.####.##.##.##.#....##...##.#..#####...###....##...#.##..#..###.##.###.##....#...#..#.#...#.###...#####.#.##.##.....########.#.###.#.......####.#..#.#.#.##.####.###.####..#...#.##.#.##..#...#..#####.#.######.#..#.....###..###.#..###.###..##...##.#...##.###.##.#.....##.#.#.##.#.####..#####..###.....#..#.#.#..###..###.#.####.#####.#.##..#..#.#.#.....#.#..##.#...#...####..##..###.##.###...##....###...#..#..#.##....##...###.#......#.#.##.###.#..#####..#...##.#..#
.##.#.#.#....#..###..#..#....##..##.#..#.....#.#####.#..##.....##...#.##..####..##...#..#.#....##..###.#..##...#.###..#...#.##..###.#..##.##.#...#...#.###.####.#..#.#...#.....#..###........####.######....##...###.##....####.#.#..#####..#....###.##..#..#####.#.##...#.....##...###.#..#....#.####..#..####.#####.#.####.#..#..#......##.#...#...#.#..#.##..#.#.#.#.##..##....#..#.###.###.#.##.##.#.##..#..#.#...###..##.#.#..##..##.##.....##..#..###.##.##.###..#.#.#.#.##.#.####.##.##...#...#...#.##.##.#.....###.#..#..#..##..###...#.#..####.###...##.....#....##.#####...##..##....#####.#.#..###.####..###.##.#.##..#.##.##..#.....###.###....##...#.#..###..#..#.....#.##########...#..######.#.##.#######...#.##########.##...#......###.##......##..##.##...#####..#.#.###########..###..###..####....####.#..###.#.#.#.....##..###.#.###..###.##.#.##.##.#.##.#.######.##.####..#.##..#..#..##.#.#...###..###...#.#..............#.#....##...#...###.#....###.#.....#.....#.#.##......#.####..###.#...#..###.###...###.#.#..##....#.##...##.######.....#.#.#.##.#####..###.##..#####..##.#.######..##.###.#.#.#.#..#.....##...#...#....##.#.##.####..#.#####.##..#.##..###.#.....#..#..#...#..####.#..#.#......#..##..####.#.##..#.##..#.###.#..#.....###.#.#.##.....####.######..#.#..##..#.#...###..#.#...##..##...#.#.#####..##.##....##...###.##.#.###......##..#..#..#....####.##.##....#.....##.##.###.#.#...######.##..#....###.###.##.#.###.#..#....###.#....###.#.##.####.#.########.##......#.......#.####......#.#...##.#..#....##.#..##.####..##.#..#.####.#...####..#.#...##.####....#.#.....###..#..#.#...##.##.#.###...#.....#.#.#...#####.##...#.#..#...#...###...#..#.###..##.##..#..##.#..#....###.###.###.#...#.#.##..####.....#.####....#.#..####.#.....###.##.#.#...###.#.#.#######..#.#######.#.#.#.##..#.#...#.##.###..#.#.#.######..#.##....#.#..###..#....##.#.##...#.#..###.#######....####.###.#.##.##..##....##.###..#..#########.....##.#..###..#.##.#...#..#....#..#.....###.##.##.#....#..######..#...#.#.##.##.#..#.#.#.......#
#.##.##...#...##...#.##.#..###....###.#####.##.#...#.#.#........#.#.##.#..##.#.###.#.####..#.##.....#..#..####..###...#.##.#...#..#.###.#..###.#.#.#.##.##..#####......#.##..#.#.....#######.....#...####.###.####.#.##.#....##...###...#.#...#.##...###...#.#.#.##.#...#.###.#....##.##.#.#..#....#...###....#.####.#..###....###.#.###.########...##..#..##.#.###..#.##..#........###.##.#.####.##.###..##..##.###..#..###.##.#...#.##....###.#.....#.#.#.##..#####.##.##..#.####.#..########..#.###.###...#.......#..#.#......###.####..##...#.....#..###..#####..#.###..##..##.#..#.#.#.##.##...##.#.####......##..###.#..##.#..##.#......###...###.#.#.#.#..###...#####.##.##...#...#.####.####.#..#.####.###.##.....#.#####........##.###.#...##.##..#.#.##.###.........#......###.#.#.#.#.####..###...#...##.##....#.###..###.#.#..#.#######.###.#.###......#.#.#.###.##..##..#.#..###########.###.#.......##..#..#.#...#####...#......###.###...#...#..##.########.#.#......#.#..###.#..##..##..#.#....###.#..#..#####.#####.#......#.#..#.#..####.##.###.#####.##.#..#.#.#.###.#...####.#.####.###.##...#....##.####..#.#..#.####...#...####...#..##..##.#..##.#...#.#.#.##.#..#..##.......##.#.#..#..####.#..#....####....#.#.#..##.####.#..###.#########....##.#..#.####..##...###.###.##.##...##...#....#.#####.#.#.....###..###.#####..#..#....###.###..###.#.#..#######....#....#.##......##...#.#.#.##..##..##.#...#..#.#..#####.##.##.....##....####.####.###.#....#.#.##..##.#...#..##..###.#.##..........#.##.###.#....###...##.....########..#.#..###...####.##.##.##...#....##..####.####.##.###..#.###.##.#..#...###..####..#.##.###.###...###.##.#.####..##..#.##.##.###....####.#...#..#.#..#...#........#.#....###..#.#....#..####.#.#.#...######.##....#.#.####...##.#.##..###.###..#.#####.#.#....#####...##..####......###.#.#..##.#.#..#.###..#..#..#.#.###....#.#..##..##........#.##.##.#.#..#..###..#..###.#..##.##..#.####...#..##.....###.###########.....###.#..#.#.#..##...###.#.###.#.##..#......##.#.#.##.#.......#.#.#..#.##.####.#..##...
....#...###..#..#..#..######.#...##.#.###...#.......#...####.#..##..#.##.##.#.###.#.#.#.#.##..#.#.##.##.###.#..#####....###..##.#..##..###.#..#..##.#.##########...#.##.##.####.#.##.##.##.#..#.##..#...#..#.#.########..#.#....####..#...##....##.##....#######.##..##...###.##.#..###..##..#.#..#.##.#.#.###..#..##...#....#.##.##....####.##..#....###...####.#....#.###.###....##.#.#...#..#..#..##..#.#.#....#....###.##...##..###.#....###.#.#....#.##.........##.######..###..##...####.#####..####..###.#.#.#.#..#...#..#.####.#..#.#.#.#.####.#.######.###..#..##..##.#.#.##.#.#.##.#..#.#...##...#####..##.#..##########.#.###.....##..##.##..#.#.#...#..#.##.#.##.....#..#....###.##.#....#....#.#.###.#......###.......#.#.#..#.#######....###.##...#.##...###.####.####.#....#####..#####.####.#...#....###....##....##...#.##.#......#.#.#..#.##..#.##.#.###.##.###.#....#...#......#####..####.##......###.##.##.####.##...###...####.#.#####...##.....###..###..#######.###..#..#..#.###..####.##.....##.....###.#.#.#..####.....###.#.#......#....#.##.#..#..#.....##########.#..#...#.##..######.##.#.######...#..#..###.#####......###..#.#.##..##..#..#..#..#.##..###.#..#.##.....####.#...####.##.#.##.####..#.#######...#.#.###.##..#..#.#.#.#.##...####..###.#....#.#.##..###....#.....#.#..#.###..#...###...#....##.##.#..#.#...#....#.##.#.###.###...#..#...##.##...##.#...#.##.####.#.#.##...#####..#######....#.....####..#..#.......##..#..#.#...#..#...##..##....######.######..#..##.##.####..#.#..#.#..#...#..##.###...##...#.###...#.##...####..###...#..#...####..#...##..#.#..###.#.....#####.#.##..#..#..##.#.###.#...####..###..##...####..####.####..##.#.##..#....##.##.#..#..##.#...###.##...##.....###..###.#..#.##...#.#.....#.#...###.#.#..##.#..#..#..#...##..#.#####.#...#.....##...#....###.....#.###..#..#..##.##.#..#..#..##.###.#..####.#.#...##....#..#.###.##..###..##.####...#.##..#..#.#.##.#.#.#.#...#.##.....#########.####.#.##..##..##.#....##.....#......####..#.......#####.#.###.....###.#..###.#...##...#.....#....#
...#..##.#.##..##....#...#.#.#.#.##.###..#####......####.#.......#.#.####.......#.##.#.#..##.#...###.##..........#.#####..######.####..####...##..#.####.#####...#....#.#..#.#.####.##.........##.#...#..#####..###......#..##...#....#.#.#.#..###.##########..###.##...##.######..#####.#.#.#..#.#.#...##.###.###.#.#.##.##.#.#.#...#....#..##..#..#######..#####....#......#####...#...##.##.##.#.##.#..#.#..#.#..#..###...#...#.###..##.#.#.#....#.##.#...#..######.##.#..#..##..####.#.#####.#...###.#.##.#.#.##..#..#...#...##.###..###..##..#.#.##..##......#.###.##.##..#.#.#.##.####.##..#..##.##.#......#.###..#####.###..........##.#....##.##.#....##.#.##..###.#..###.##.#..###...##.#..###...#####..#.##.#.#####.##.##...#...#.##.#..#...##..###...#.##.####.#....###.#.#...#.###..###.#.#...##.#.#...#..#.#...#.####.....#..##.##..#.######.....#..........#.#...#.###.######.###..#..#..#.....#####.#...#.#...#..##.###.....##.#.#..#######.##.###..###.##########.##...######.#...#....#.#..#.#.##.#..#..#.#..####.....###.#####..##.####.#...#..##...#..#...#.####.###..#..###..###.##..###...#......#####.##..##....##.###...##.#..##.#..##.##..#.#...##...####..####..##.##.......#.##.##...##.##...#..#.###.....##..###.#..#..###.#..##..#.####.#.#..##..####.#.##.#...#.##.#.##.#.###..####.#.#.####...##.###.##.##..#..##.#..#..##.#.....###.#..##...#.#.#.##..#....#.#..##.##.###.##.#.#...#.####.###..#....#...#..#####.#...#.##...##...###.#...#####..###..##..##..#########.#..#.#..#...##..#.#...##.##...###.#####......#.#..#.#.#######.####..#.#..#.##.....#.##.##.##.##..#......##.#...##......#...#.#####.#.#..###..#....#.#.#.........#....##.##.#...##..#.....###.##.#...#....####.##.....#.###.#.##...###.#..#...#.#....##...#...#..#.##.#.###.####....#.#.#.###..####...#..###....#...###.#...#....#.##...#..###..###.##.####..##...#.#.#..#.##...###......##.#.##...##.....#.....###.........#....#.#..#.#####..#.#.#..#.##.#.#...##.##..............##....###.#..#.##.#.#.##....##..#.#.#.##.#####.....#.##..##....#.###..####.####....#..#
##..#...#..#.###.###.#..#.#.##.#.##..###.####...#####.##.###...#.#.#..#...#.##.#.###.###.#.####.##.#.........###.#.###..##...#.###..#####.##.#..#...#.##..##.##.#...##########...###...#..#........#..##.###.####.#.##.#..##....##.#.##.###.####.#.....#.....#.#.#.#.##...#####..##.#.#..#..#..#..##.#..#.....#....#.#.#.##.#...#..##..#.#..##..##.##.#########.####.#...#.##....#.#...####......##....##..#.#..#.#####...######.##...#####..##..#.#####..####....#.#.#..#.####.#...###.......#...####....###..#.#...#####...#.####....##..#.#.##..#.#.#........###.##....#...#.####.###..#.###...#.#...#.#...#...#####.#..#...#..##.#.#..##.##.##...###..###..#.###..#..###.##........#..##.#..##..###.##....#..######...###...#..##.....#......#.#####...#.##.#####..#.####.#.#####......#.##...####...#...###.#.#.#..####..#.#.##.###.##.#####.#.#..#..#...##.##..#.#.##.###.####.....###.#.#..###..#..##..##..##.#...#..#####..#...#.#..#..##.###..#.##..#.##.#.#.#....#.####..##...##....###..#.....#.#.####..##..#....###.#.....##...#..###...#####.###..#.#.###..####.##...##.#####....#....#.###.##...#..##.##.#..#.#.#....#.###.##.#..#..#.#.##...#...##..###..#.....#.#.####...#..#..#####....#...##.#.########....#...#.#####.#..######.###..#####.###.......##.##.#.####..###...#..##.##..##..#.##.##############..#.#.##.#.###.##....###.###....###.#####.#.......##.#.....#....#.#..#...#.#.#...#.....#.#.##.#..##.###.#.#.###.............#######.#.#..#.#.#.#...##.#######.#.#.#......##.##...#...#...#....##....#.#..##..##.#......#.###.#..#.#.#...##.###...#.....###.#.#.#..#..##.#.#.#.##.#..##...###..###.#...##..###.#.##.#..#...##..###.#.##.#...###..#.###.#.#.###...#.##....##.##..###.#....#.#....#....#......###.#..##..#....#..#.#.####..##..#...####.##.##.#...#.##.###.#.#.##..###.#.##..#.#.#.#.###....##.#..#.###....#...#...###.#...####...#.#.#.###.##.###.####.##.###...#.....##...#..###.#.##.##...#.#....##...#.###..#...#..#..#....#.#....####.###.#####.##...##.##..##..#...#...##.#..###..#.#.....##.###.#...##..#.#.#####.#..###.##....
...#..##.#.#.#.#.#.#.#####..#.....###..##....###..##....#.#.##..#...#...#...#...###..#####.###.##.#.###......#.###.##.#.##....###....#.##.#.#.##.##.###....#..##..#.###..##.......##..#.####.#......###......#.#.#####...#..##.#.##...#....#.#.#.#.#..#.##.#.#.####...#....#..#.#....#.#.#.##...###.#.#...###...###..###.##.####.##.#..##.#...#.#.##....#...##.##.#...##.#...###.####..#.#.###...##......###.#.####.####....#.###..#.##..##.#.#..#...#..#..#...#.#.#.##.....#...##...#.#.##.#.###.#...##..#..##.##...######.####.##.#.#...##.##.#..###.#.#.#..##.#.#....#######....#..#..#....#..##.##.#.###.##..###..#..#.#.....#..######.##.########...##.##..##..##.#.###.#..#.##..###..##..####..###..#..##..#.##...###...##...##.##..##..###....###..###.####.#...######.###...#..#.##..######..#.#.#.########.##....#.#.##..###.......##......####.###.####.###.####.#.....###.#.##.##.##.......#.#..#.###...#.#.......##..#.#..#.###.#..#...######..#...#.##..########.....###.##.##.#.###..##....###.#.#....#..#..#..#...###.##.#.#.....#.##.##..#...#..###..###..#..#..###...#.###..###.###.##.##.##.#.#.#...#...##.###.#....#.##..#..#.##.....##.####.#..###.#.###......#.#.####..####.#.#...###....#.#..##.#.....#..##..##..####..####...#...#.##..#..#.###..##.##.#...###....#..##.#..###..###..###.##.####.##....###.#.#.####.##.#####..#.#..##...##.#.#.#.##..###..#.#.....###...###..#...#...#.#.#..#.#...#.#.##.###.#..#..##...##.##..#..#.#.#.##...#..#####...#..####...#.#.##.#.##....#.#.#.####.........#.....##.....########.#.##..#.#.#.#....#....#.#.#....##...##..#.##.#..##.##....##..####.#.##.#.#.#.#..##.##.#..#.....#####....###..###.#.#..##....##.#.#...#...#..###.###...####.##....#####..#.#.##..###.#..###.##.##.###..##.#.....#.####.###.#..#..###..#.#.###..#.##...##....###.###....#..###...########....##.##......####.#..###.##.#.#...######.#.#..#####.#.#...###.#...#.#.#..#.#..#...###.#######.#...####..##.#...##.##.######....##.##.#.###...######...#.#....##..#.##..###.#..##.#...#..##..###.#.##.##.#.#.#############.#..###..#.#.
.#.#.....#.####.##.#..#.#..#.###.#.#..#.###..#...##.##..#...#######..#..#..##..#.##.....####.#####.##.##..##..###.#########..#..#.######.#.####.......#####...##...##.#.###..#.#..#.#.#.#..##.#.#####.#.#.##.#....#.#...##.###....#.###.##.###.####.#.###.####..#.##..#..#.##.##.#....#####.###.##.##..###..####.##.#..#..####.#..##.#..#...#.#.###..#.##.#....#..###.#.#.#..#.##.###.####..##...###.#..#..#.###....##..#.#.#..#.####.#.##..##.#.#.#.#.##..#.#.##..###...#.#....##.#.#.###........###..#....#...####.########.#.#.###.####.#...#####.#....#....#..#.#.##.####.#..#.##.##.#...##...###..#....#######..#...#..#.##.####.##.####..#.###....##.#.##.######.#.#....#...#.#......#..........#...##..####..##.#..#.##.##....#.....#..#...#..#..#...##.....##..#.#..#....###.###..##.#####.####.#.####.##.#.#....#..##.#..#.##....#..#.###..#.####.#####.#..#.##....#.##...#...##....#..#.....###.#..#..###....#..####.##.#..###...#.#..##..#.#....#######.###.#...####.####.##...#####.##..##........#.....#.##.#####.##...###.#.#..##.#.#......###....#.#.#.#.####.#..#.#.#######.##...#####..#.###.#####..#..#..##.##.#....#.#.####..#.##.##..#.....#.#.##.#.#..#.#..#.#......##.####.#...##..#...#.#..####....##....#.##.....##.#.....##..####..##.##....#.#.#..#.#####...#.#.#.###.#..#.#.#.#..##..#..#.##.##.####.####..#...#..##...#...##.#.###.#.#.#.....#.#.##.#.#..#..#.#.##.##..#.#....#######..#....##.#..#..####..#.####.#.##.##.##..#.#.##..#.###..#.#.#..###...#....######.#..#..####.##.##.####.....#....#.#...#########....###...###.##....##...#.####...#....#.#.#....##..####.#...##.#....##.#..##..#.#..###.##.#.#####.###.....#.#..#..##.#.#.#.#.#.#...#..#.#.....###....#.#...##.####.#.###..#...#..#..#.###...#.##...####....##.....###.####.#.##.#.#..#...#########.##...###...#...#..##......#..#..#.##.#.#...#...#....#.##.#...#...#..#.##..##....##..#...##.#....#.##.#####..#...#######.#.#.#.##..#..####...#.#.###.########.#.##...###.#.#..#.###..#########.#.##..#..##.#####.#####.###.###..###.#..###.###.##..##.#.#..##.....#....#.####
.##..##...###.#..#...###.#.##.#..#.#..#..###.#..#######.........#..###..######.###..##....##..#...##.###.#.###..###.##....##..##....###..###.##....####.#..#.#..#####.##.#...###...##..##...#.#.##...######.###.#....#...#..#....###....####.#....#.##....###.....#....####.####.#....####..##.......#..##..#..##.####..#.#.##.##.#.#..#.####.#....#....#.####..##.##.#####.######..#.#..###.#.######..##..#.....#.#.......######...##.#...#.#.#....#.####.##...#..#..#..#.....##..#.#.#..#..###...#..#.#...##.###.##........#.#.##.#..##.###..###...#.#...#.####.#.####..#..#.#.##.#..#...#...........##.#...##.#.#....###.##.#..##..#.#.#..#..##.#..##..#......##.#....#.#####..##...#.#.#.....##.#.#..####...##.###.####....##..###..#..#.#.#..##.###...#.###....#..######.#.#.#.#..#...######.#.#..#..#....##.#...##..####.....###....###..#.#.......##.##.##......#...#.#.#.#.#...##.....#.######.#......#.#..######.###.###....#.##.#.#.##.#...##.#.#....##.#...#.#.##.#..###.##..#..#.#.#..###.###..##.#..##....##.###.#.####.####..#.####..##..#...##....#..#.....##.#....##...#.....#.......####..#..#.##.#####....###.#.#.##..#####...........###.####...#..###.###.##.....#.##.#..##..##..#.##..##.#.#.##.#####.#..#.###.##...##..##...#####..##.###...#.##...##.###.##.#.#.#####.#..####.#....#..##.#..#..##...#.#.#.##.#....#......##.....#....#.#...#..###..#########...###.......##.####...#.####..#.#.##.#.......#.#...##.#...##.#######..##.#......#...####..##.#.#.#.#..#.#..##.##.#####.#.#.#....#.#..#...####.#..##..#....#...#..#..#.###....######.#.#.###..#..###..#.#....#..####.####.....####....##.####...#..#..####.#....##..##.#.###..###..#.##.....###.#...########.####.#....#####.#.###.....#.###.#.##...#....###.#.#.#.......##.#........##...#..#...#.....#...#.#.##.#..#...####.#...#.#...#.##.####..###....#.##..#...#.#.#....###...##.###.#.#.#..#...#..##....##....#..####....#.##..##...###.###.##...#####.#.....#.###..##.#...##...##.#..##..##..####.###.#.##.###...##.##...##.##....#.#.###....#.##.###..###.##..#..#.##...#..#.#.###.##
#....#.#.#..#.####..###....#..##.###..#.#.#.####..#.##..##...#######.##..#.##.#.###.#..#...#..#..#.#.#.#.....#...#.#.#..###..###.##.....##.###.##.#..###.#...####.#....#.#.#..##....##..#..##....##..#..##.....###.....##..#..#..#..##.#.######...#.#.#.##.....#####..#....#..###..####.###....####.#..#.#######...##.#..##..#.###.#...##.#.####..#..#.#.#..#..#.#.#..##.###.##...#.#####.###.#.....##.###.##..##.#..##.##.#..#..#####.#.#..#.#####...###.##.###.#...#.####..#..#.######..####.##.....#...##....###.#.####..###.......##.#.#..###..##.#....#........###......#..#.###.##.####.##.#..####.###..##...#..########.##.#...#.#.#.##...#.###.#....#.#..#..#####...##..##...#.###.####.##..###.##..###..####......#..##.#.#..#.#...##..#.##.##....#...#..##.#.##.#....#..##.#....#.##.###..######.#......#....####.#.#.#.###..#...#..#...#..#...###..###....##..#...####.######.#.#.##....##....#.#.####.#.#..###..####...#.##.#.#.....#.##..#...###.##..####.##.####.##..#.##..#.......#.#.#.....#.#..##.#..###.#.###....#...##....###.#.##...##.#..##..#...####..##.##..##..#.#..#......#######.###..##...#....#...#.####.#.#.##.#.####....####.#...#...#.######.##..##...#.#..####..#.#.####.#...##.#.#.#.....#..####.##.##...###.###..##.####..#...###.##...#.#.##.#.#.#....#.########...###.##.#####...##.##..###.#...#.###.#.#.#.####..#..##.....#.....######....#.#.######.##.##..#####..#.##.##.##...##.....#.#.#.#.....#..#.#.#...#####.#.###.##....###.##.#####..#.#.###...#...#..###.###.#.##........##....#####.##...##.###.#.#.####.#.#.#.######.....###...#..##..#.#.##.#.#..#.##..##..####.####.#.##.##.#.#........##.#.#.###.####.#...####...#..#.##.#.#.##..##...####.#..##.#.......####...##.##.#.#.#.#..##.###..#.#.#.#.###.#.##...#..##...#.##.#####..#.#.####...##..#.#.#..###.#.#.#...##...##.#####....#.#...#.#.#..#..#..#......##.###...#.....#.###...#....#...#...##.#.###.#...#####..###.#..#####.#..##...#...##..####.###.##.##..#..#.###.######...#....##...##..##....#....##.#######.##..#...###.###.#.####..#.####.....#####.#.......#..#
.#.......##...#.#.##.#.#...#..####.....#....##.#######....##...#..#.##.#.#.###.#.##.#..#####..####.##..####.###...##..##..#.#.....##...###..#..#.#.#.#...##.#...#....###.#..###...#......#.######..##....#..##..##..#..##...#..#.#.....#...#.#.##...##.#.#....#.##.##..#.#.#...#..##...#...#.###......##.#.......#.#...#.....##..#.###..##.#.###.....#......#.##..####..##.#.#.#.#.#..#...#.##..#..##....##...#.##.#.#.#..#.###.....#..#.######.##.###....#..#.###.##..#.####..##.##..#.####.....###...#..#.#.##.#######..#.#....#.#..#.####...#..##.......##...####...##..##.##...#......#....##.####.##.##.#.#####.....#.###..#..#...#.#.##...##..##....#....#....###..#.#.....###.##.##..#.....#..#.###..#..##.#..####...###.#........#.##.#.#.##.#####.....###...#.#####..#.##..#..###..#..........#...#..##....#...###...#..###...###......#...#....#.####.###..##.#...#...#.#....#.#..#.#.#.#.##..###.#.#...########..#...####...##.##.#####.###.#.#.##.##..####...##..#....###.#.##.###.....######....#####......#.####..###.####.####.#......#.###.##..####..#.###.#....#...#.#....####.....#...####.###...#.#.#####..###.####.........#..######...#.##.#...#.#.##.#..##..#...##...#.#...#.###.##..#...#....###...#......#.##...#...#.##....#.#.#.#.#.##.####.#..##..#.##..#..#.#.#..##.##....#.....#.#...#..#..#####.#.##..#.#.###.#....#..#..#.....###...#######..#.##.###.#..##.##...#.#..#...#.###..##.##..###.....##.#......#.###..#...#####.#.#....##...##.#...###.##...##.#.#...##.#.#.###.##..##...#....#...#...#.##.####...#.#..#######.#.###....#...#.#.#.....#..#.##.####.##.#..#..#......#...#.##....#...#.#.##.#......#...#..###.#..#####..#.#.##.#..#.##.#.#..#.##...##...##..##.##..#.######.#.##.##..##.##.##.####..###...###..##.#.#.#######...####.#..##.#.#.#####....##.##....###.##...####...##.#..#..#..#.#...#.#.##..##.####...##...#....######...####..#..###....#.##..##.##..#.#.......#.#.#..#...#.#...##.#.###.##.#.###.###.##.###..###.#..#..###.###.##.###...#######..##.#....####.#...#.#.........#.#..#.#..##.##....##....#.##..#.######.#
..#.##.#....###...##.##....#.##.....#.####...#..##....####.#.########.#..##..#..#.##.####.#####..#.#..#..#.#..##..#..###.#.###.....#.#####...#.#####.#...#.#....#.#.#..#..#..##.####.#..####.#..#.#.#.#####...##.#..#...#.######....####..#...###...###..#..#..######..##...#.#.#..##....#....#.###.###.##.##..##.#.####..##.#....##.#..####..###..##......#..#..##..#..#.#....#..###.###..#.########.###.....#.###.#####.#########..#####..#..#..........###....####..####.#.#...#.###.#.##.##.###.#...#...#####.#..##...#..####.#.####..##.###..#..##.....#.#..##.#.##.#..##..##...###.##....##.#.#.#.#.#...##.#.##..#..#..####.#..#.#.#...#.###..####.#.##.##...#.#.#...#.#.#.#.#.#...###..##..##...#.#..#.#..#..###.#.#...##.##.#...#..#..##....#..#.#.#.#.#.#.##.##.##..#.#..##..##.#..###.......#.#.#.#...##.#..##.#.###.###..#.#.####.#..#.###.####..#..#.#.#.#.#..#.###.###.###.#####..##..##.#..#.###.#.####..###....#######..##..#...#....####..###.######....##.#.#...#..#...###..#.##.#.##..#.#.#....#.#.#..##.####...#.##..#..##.#.####...#....#..#...#....##.#..#...###...#.#.#.#.########...##..#.##....##.#.##..##.....#...#...#.##...##.###.#.#...#...##....##..#.#.#.###.#.#..#..##.####..#.#.##.#...###.##.####.##.#..#.#.#...###.####.####.###.#..##.###.###.....#.#..####.########.#...####..#.###..######....#....#...#..##.####.###.#.##..###.###.##.#.####.#..#######...#..#..#.#.....#...#####.###.##########.####..#.#########.##.#..##...#..##.#.###..#..#####..###.#.#..####.##.#..###.###.#.#.###..##......###....#.#.#...#.#####..#.#.#.##...##....##.#.....##..###...##..##..#..###.#.#.#...#...##..##.#..#...##..###.....#.###...##..#.#.####..##.#...#.#...###.###.###....#####.#....####.###..#.##...####.#..#..##..###..#..#...#.#.#.####.#.##..#..####.###.###..#####.#..##..##.#.##.#....#####.#......###.#.#..###.##.##..#.#..#.#..##.#..#.##.##.#.##.###..##.#..#...#..#..#.##.#...#..###.....#..#...#.#####...#......#.#.###.#...###.##.#.#####...##.#..##..#.#.#.##...#..#..#..#.##.#....##.#.#...#..##.....####.#...##..##.##..##.....
#....##.##.#....##.#####.#####.##.##..##.#..###...#..####..##.#...#.#.#...#...#.#....#.#..#.#....##..#.#.##.##.##.##.########..##......#.#.###..###.##...##.......######.###...##..#.#.####.......#.#.##.##..##..#.#.....#####.#######.#...#....##..##..####..#.#.#.##..##..#..##.#####.......####.......#..#.#....###..##..#.#..#.#.#..###...#..#..###.....###.##.####...##.#.#.####..##.#.....#.###.####..####.#....##.#.#..#..#...##.###.#.######..##.####.#..##.#.#####.##..##..########..###.#..##.#####...###..###.#.##.####.#.....###.#.#......#.#..#.###.#..#.....#...#.##.#..#.###..#####.#..###..#.#..#.##.##.##.#.##..##.##...#....#.###.......##.####....###.##....##...#...###.##.###.##..##.##.#.###.#....#..####...#..###.#.....##.#..##..#..#..##..##...#.###.####.###...#......#.#....#....#..####.###.##..##.##.#.####.##...#.#####....####..#...###..#####.###.##.##.######.#..##....#....##..#..###.#.#...##.##..#..#.#.#.##.#.#.....#.....###.##.###..##.#...#.###..#...#.#.#######.##.##.#############.#.#..###..###...##..##.##.#.#..#.....##.......###.....#......#.#...#.###.##.#.##.##..#.###....#.#..##.###.##..#.####....#..#.##.##....###.##.###.####..##.###.#.######..#...#.##.#.#..#.#.#.###.##.#.#.##.#...#...#..#....#.#..#.#.###.#..##..#.#.##.#.##.##.##...#.##.#.####.######.###...#..####.##.#..#.#..#####...#..###.#...##...#.###..#..#.#...#......#.#.#.#.#...####.#.#....#...####.#######.#..##...#..##..#.#...##.##.#..#########.#..##..#..#...#.#####.#...#.##...#...#....#.#.#.###.##..##..#.##..#..###.##.#######.##..#..###....###..##.###.#..#.##.#..#...##.######..###.##.#.#.......#.#.......##.#.###..#.#.#.###.####.#.##.#.###.#...#..###.##.#.####.#.#.#..#####...#.#.##.##.######.#...###.##...###.##.#..###.##.#.#.#.#...#.#####.###..##.###...#.##...#....##..#####.##...#.##.#.###..#.#....#.###...#####.###.....##..#..#.###.#.#....#.........#...#.#..#######..#.#..#.##.####.#.####.#.#..##..###..####.#..##.#.#..##.#..#..#.##.###...##.##...#.#..##...#...######..#.####...##...###..##.###..#..........#..#.###..#
..#....#.##..####.#..#.##.#..#...#..#..###..#.###..#..##...#.###..#...###.#...##..####.####.....#..###.....##.#.##.####.#.#..#..#...#..####.##.##.######.####.#..#..#####.####...####..#.....#.#.#.###..####.#...###..#..#..###.....#.###.#..#...#.....#..###.#.....#....####.#.###...#.####.#..###.##....#####..#.#.#.#...#.####.#.####.#.#...##.#..##...##.##.##..#.#.#....##.#..###.#..#...#.....##.#.#.##.#.#.##.###...##.#..#..#.###..#.#.###....###..#....#...##..#.....#.##.....#.#.#.####.#.##..#.#.#.#.##..#.#.#..#.#.##...#.#..###....######.#...####.##..#.#...#.##..####...#..#..#.#.#.#.###.##.#..#.#..######...####.###.#...##.#.##....#.##.#.#..##..####.##.#...#....#.#.##.##..#.......####..#..####.#.#....#.###.#...#.#########.###..##.#...###..#...#..#.###...##.##.##########...#..#..#######...#.....###..#.#.....###..#..#....#..###..###.##....####..#.......#....#..#.#...#..##..#.....#...........###...##...#....##.###....##.#.##.##......###.##.......####..##.##.#...###........#...##...#.#####..###.#..#.#...####.##..#.#...#.###...####.#..#.#..###......#.##..#...##..##.##.....##...#.########.##.##.#..#..#.####..#.#####..#.#.##...#..#.##.##.##...##.#.#.#.##..#######..#....#.##..##...##..####..###..#.#.##.#.##...###.#.#.#..#..####.....#.#.##........###.#.###.#...##.#.####.#...#.##..#.#.####.....#...#.....###.#...#.#.......#...#....##...##.#.....#####.###.#..##.#.##......#...##.#.#########...#.#...####.##.#..##..###.#..#.##..#.###...##..##........##.###.###.###.#.#...#.##..####.#..###..##.####.#.#.###....##.#####..#.#.#.###.###...##.##..##..##.....##..##.....#.#.##...#...#....#..##..#.#.####....####..##..####.###.#......#####...#.############......#.#.#..#.##.##.#..#.##.#.#.#####...##...##.#...##...##..##....#.######.#.#.##....##..##......####.##..#.###......###.#.#.......##..##..#.###..#.#....##.##.###.....#..##..###.#.#....###.##...#.####..#..#..#.#...###..#...#.##.#...###..######...####..#.....####..##.###....##...###..##..#..#.##.#...##.###...###..#..#.#.#..#.###..###.........##.##..
...###.##...##.###....#.......#..#.###..###.#.####.#.###.##...#####...#...##.#..#....#..#...#..##.#..#.##....#..##.#..##.#.###.##.##.#.##..#.#.##.###..##.##.######.##....###.#.#..#.##..###..###..########.##..#.###......#.##..##...#.#..#....#.###.....##....#...##.#...#.##.#....#..##.#####...##.###.######.##...#.###...#....##...#.#.###.#......##........###....#.####...#.###.#.##.#.##.....###..##.###.#.##....#..#######.#.#.#.###.#...###.##..#.....#.#.####...#.#...##..##.#..##...#.#.#....##...#.#####.#.##......#...##.#..####......###..###.###.......###...#..#.#..#...#.##.#.###.#...#####.###..####.#....######...########.##.##..#.##...#..#.....#.##....##.##.#####.#######...##...#......#..##.#####..#.....#..#####.##..#.#.##.#.###..###..###.#.#.###....#.##...#.#.#..#.###.##.#..#...#.#.#.##......###..###..#....##...#.##.###.#..#.#####.##...#####....##..#.#.#....##.###.##..#...#..#..######.##.##..#.#####..#.#######...##..#####..#.#.###.####.##..###.####...###.###.##.#.###.....#####.#.#..#.#.###.######..#.#...#.#.#....##.#...#.....#.#..##.##.#..#.#.###.......###......#..#.#...#.##.####...#..###.##..#..##..###....###.#....#.##...#.#..##....##.#..##..#....##.#...#####.#.###....##..#.#........##.#...#.##.#...##.###.#..#.#.##...#.##.##..#.###.#......###......#.###.##....###..#.######..###.###.###..#.#.#...#..##.###.......#.##.###......#..###..##..##.#.#.#####.#.######..##.#.#...###...#..#.###.###...#..#...#.#.#....#...##.##.#.#.#..##....##.######.#..####..####.##.##..#.#..##..###....#..########.......##.##....###..###.###.#....##.##.###.#.#######....##.....#.....#.....####...#....###..#####.......#.#...#.#.##.#...#....##...##.#.#..####..#####....##..#..###.###.#..#...#..#####.#..#.....#.###.##..###..###......##.#.#.##.###.###.##.##.#...###..##.###.##...##.#####....#..##..##....#...##.####.####.##....#......#.#.##....#.##.....####.........####...##...##.#####.#..##.########.#.###..#..##....##.#.#.#...#....##.###.###....##.#.##...#....##.#..##.#..#.#..###.##.#...#..#..#...#.#######.
.#..#.#.#....#.#..##..#..#..#..##............#.##..######..##...####....#.#....#.#.#.#..#...###...#.#..#.#.#.##.####.##.##.#.####.##...#.#.#...###.##.##.##.#..#.#.#.###...###.##.##.###.#...###....#.#.#..####.###..#.###..##...##..####.##.#.....####.#.##.#..###.#.#####..####.#..##..#.######..##.#.##..#.....#######.##..##..##..##...###..#.#.#.#.#...........##.##.##.##.####..###..#.#.##.#.##..#..#...#..#..#.##.####..###...#.##..#......##.#...##.###...#.#.#..##...#.###....#.#...##..#....#.##.#..#.###..#.####..##..###...#...##..#.###.#..#..####..###...###....####..###.#####...#.#......#.##.####..#.#...###.#...####.##..####.....#.#...###.##.##.#....##.####..######.#..####..######.#..######..#.##.##...##.#.###...#.#####.##.##.##.#.####....#.##...##..#.#..#...#...#.###.#.##...####...###.....####.##....#.#.####.....#..#..#.#....#........#...##..#....###....#....#..#...####.#..#.#......##.#####..####.##......#..###.##.#....#.#.#.###.###.####.#......##.#.###.##.####..###....#..#..#.##.##...###...####...#.#.#..###.#..##.....#.#.#..#####...#.........##.#.##..#.####.###.#.##.#.##.####.####..#.##.#.##..##.#..#.######..#####.#..#.###.##.####...######.....#..#.#.....#..###..#..#.#.#..###....#.##.###.##.#.##..###.##..##...##.....##...#..###.##..####..#.##.#....##.###...####.....##.####..#.#.#.###.###..##.#####..#..#....##....###.##..##.####..#...###..#.##..##.#.#..##.....####....##.......##...##.##.###..#...#..###.##.#####.....###.....##..#..##.....###..###.###..##..#..#.##...##################.##.#####.....###.#........##.##...##.#.##.##........###.#....###..##...##.#########...####.##..##......#..#.#.##.#.#.##.##..#....##.#....#.##.....######....##.#..###.....#.....#...####..##..####.###.#.#..###.#..#...#.###.#..#...##..##.###.####.#...#......##.#.......#....#.##..#.###..##.#..#...#.##.#..##..####.#.#......#.###..##.###.#.##...#.#....#.......#.###...##.##...###..##..####.#.#.#.#.#...#.##.#.#.#..##..##.###.#...#..##.....###..#######.###.#.##..##..#.##.#.##.#.#.##.###..#..#..##.##.#..
..#...###...#...#.####..#.#..#...#...#..#....#.#.#....#..#.##....#.##.#....#..#..##...#....##..####..#.####...#..#.###..##.#..#.....##..#...#...######....#.##...#..##.#..#..###.##...#......###...##....#.#..##.#..#....##..#..#.###.#..##.##......#......##.##.....#.#...##.#..##.##.##...##.#######...###.#.####..####..##.###....#.#.#...#......###.####.##.#....#.####.##...#.#.#.#...#####..##..##.###.#######...##.#.#.#...#.##...##........####.#.##.###....####.....###...##..##.#.#.#.....##..#.##.##.##...#....#.####.....#.##..##.#.####.###....##.....##....#....###.#.##.#........#.##.#.##..###.##.#.##..#.#...#.###.....####.#..###....##..##.#.#.#...#.######...#.##.#.##......#.#.#.####....##.#.#.##.##.#.##.#......#.#####.#.####..##..#.....#..#.....###.....##.#.#...#####.##.#.###.#.##.#.#.#..#####..#......#.##....#.####.##.####..#..#.#..##......#..##...###..#..#....#...#.#..#..#.#.....#..#....###...#.#..#..##.####.##....##.##.###.#.#...##..##.####..#..#..#.##.######..#.##.#.#.#####.##....#.#.....#..#...###..#####..#..###...#....#..#...#.#..#.#.##.##.##.####.#...##.###.##.#..####..##....####.##..###..#...####.#.###.#.#####..#...####....#...#..#..#...#.####.#########.#.#.#...#.###..#..########..#...##...#####..#####..##...#.##.##..###.#.###.###.####..#..#.###.###..#.......#......#..#.#..........#....#..#....###.##.##...###...#..###..##..#..###.##.#......#..######.#.#...#######...#########....#..#.#.#...#.###.###.##.##....##.#..#....#####...####.....#....#####.##..#.###.#..##.#.##.#.....##.#.....#..####.##..#..#.##.####.####.#.#.#.#.####.##...##.##.#.###.###.###..#.#...#.#.###.###.#..##...###.###.##.####.#.###.#....##...###.#.###.....#...###..#..####...####.###.####.###..##..#..##.....#.....#....#.#.#.##...#.#.#..#.#....#####....######.#####..###.##.#.#..##..##.##.#.....##..###.#..#..#####.#...##..###.#......####....#.###...#..#.###..##.#..##.###..#.#.#.#...###.#...#.##.#.#.#.##.####..##.#..#####..#...#.#####.#...####..######..#..########.#..#..###.#....#..#..#.#.##.#.#.#.#.#..#...
#.#..###.##.######.#..#..#....#....#.#.#.#.#######.#.###.#....####..#.##......#..###..###.#.#.##.###.#....#...#.#.####..##..#.#.#...#.#.#.......#.#.#...##.###....##....##...##.##..#.###.#.#.#.#####...#...###..##.....#.#.##.##..##.##.###.#.##.#.#.#.#..##.#..#####..##.####..#...##.#..##.#...##.#.#.#.#..##.##..##..###......##.#..###..##.#.##.#......###.#.###..##.####.####..#######...###.##.#.#..#.##.###.######..##...###.###...####.......##.#.#..#.##.#.##.###..##...######.##...###.##.#.####...#..#######...#.###...#..#..#.####.###....#.#..###.........#.##..#.#...##..#..#####.#.##...#....###.######..#####.##.#.###..#..#...#..#.....##.###.#####.#....##...###.#.#.#.##.##.#.##.#.#.#.##.##....###.........##.#.##.#....#.....##.....####.##.####.#######.......#....#..#.#...##.#######..#..#.##..#.##...#...##..#..####...###...##.##...#.###.#.##...#.#####.#####......#.###..##.....##.#.#........##....#.##.#.####....#.#...#...#.#####.###.#....#.####.#.##..###...#......#......#.##.#...###.#.#######......#.#.##.##...#####.###..#..##...#......##...###.#..#..##..#..#..#..##.##.#.###.###.###.##..##..#..######.###.###...###..#..#......######...###.##.###....#....##.#.#..#...#...#.#.#.##..#.#.......######.....###.##...###...##..##...##..#...##...##...##....######...##.#...#..#.####.#######.#.##.#.##..#....#....#..###...##...##.###.##.######.##.##..##.####.###.#.##..###.##..#.#.###..#......#...###...#..###.#.###.##....#####..#.....###..#.#.##.##......##..##..###..#...#.#.##.........#..##...#.#.#..#...##..###.###..##.#.##.###.########.###.#.#.####.###..###..#.##..##..##.###.....#####.....#..#.####..#..##..##....#.####..#..#....#.####.#....###..#....####......#####.##...##..##...#.##.###.#..###.#.##...#..#.##..#..#....#..#.......###.#..##.#.##...###..##.###..#.##.######.####..###....###..#.#.#..#.#.....#.######.....#.#####.##....#......##....####...#...#####..#.##.##.###..##.#..#..#.##..##.#..#.##.###.####...#..#..##.#.#..###...####.##......#.#.##...#.####.#####.#.......#..#..##..##...#..#...#
#.#.#..##.###.##..###.#.##.##....#.###..#.#...##.##...#####.#..#.#...######..#...#.##......#...##..#....######....##.##.##.##..#..##.#.###..###.#.....####.##..#.#.#..###...##.#.#..##...##.#.####....#.#.##.#..#.###.#.##.##.#..###..###.#.#..#....#.##.###.....##.##.#.##...#.###...#######..#.....#.#.....#..###.#.#..#..#.#.#..##.##..##...#.#.###.###.....#.###.##.##..#.##..#....#.##.####..#.#.#....#.#.#.##..#.##.##.##.#.#.#....#..#.#..######.#......#.#.#.#.##..#.#..#..#.#.#...#..##..#.#.##...#..##.....#..########.#..#...####.##.......###.......###.####.#.#####.##......##.#...#.#...##..#.#.#...###.#.##..#.#.......###.####.###.###...#.###.#.#....#.##.#..#.###...#..##.#..#..#.##.#.##..#..##..#.###.#..##...###...###..#..#..###..##..#.#.##.#####.##.#.......#.##..#....#...#.####........###.##.######.##.#.#..##..####.#.#.##..####.#.#...#..##.#.#######..#####..###...###..#.#..#.##.#####.##..#.###..##.##..########....#...#..##...##..###...###.......##....###.########.####..#.####......#..#.#.##.....#.#...#.####.#.##..#.###.###.#.#..##.##.#.#..#.#.#.#.###.#..###.#....#.#.#.####..#.##.#...#......##....#...###.#.#####...#..##.#####.##..###....###.##.##...#.#..####.#####.###.#.##.####.#.##.####...#..#.####..#.....#....##...#.#.######...##.####.#..#.####.#........#.#.#..#....#..##...#...###....##...##...###.##.#.##..#.##...###...#.#..#...##.##.#.#.#..##.....#.##.#.#..#.###.###..#..#####.....#.##.#.#..#..##.#.#..####.###.#.###.#.#..#.#####.#..#.#..##.##...#....##..#..#.#..#.#.####.#.##...##.#.....##..###..#.#..###..##...###.###.#######.#.#.#.###.#.#.#.##....###......###.##.#.#..###.#.##.##..##..#.#...####..##.###.###.#.#..#..#....###...#.#.##..####.##...#..##.#####.#..##.####.....#..#..#.#.#.#.#...##..##....##....#.#.#####.#.##..#..##..###.##..#.#####.....##.##..###...#.#.#.###...#.#...#####..###.....#.#.##.#..####.#.#...###.#.#...###.#..##..###.#....##......#.##.#.##.#.#..##..##...##.#....###..#.##.#....#...#..#.#..#.##..#.####.##.#..##.#.##.####.#......##.#..#.#####..#.#.#..#.########
.##...###...#.####.#...##...#....#..##.###.....#.##.##.###.###..#..#.....#.#...#..##.##.##.##..##.##.#..#..#######...#.#####.#.#.#..##.#.##..#...###.#...##..#..#.###..##..##..##.##.....###....#.##.#.#.....#.#...#....#...##.####....#.#.#.......###..#...###....#####..#..#.....####.#.#..#####.###...#....#####.##..#.#..##.#.###...#.###.#...###..#..##...##..#.##......#.#...#.####...#.###..#.#...#.#.##..##..#.#.##..#..#.###.###.#..##..##.####.#...#.......#.#.....##..#.#.##.##.#..#.#.######.##..###.....###.#..######....###.#..#####.###.###..#.##..#...#...#.#..###.###.##.##.##..#####..###.#.###.#..##.###.....##.##.##.##...#..#...##..#..#..#.#####.#..#.###.....#.#.#..##..#.#..#..#.##.....##..##.###.###..###.#...#...#.##..#.#...##.#....#.#.##.#..#.#...#.##...##.#...#.##.#.#...##.###....#.######.#.#......##.....####..####..#...##.##.#####..#....#.#..###.###..##.......##.##.#.#.#.#.#.##..#....##.##.#.##.......##.##.......###.#....##.#####..#..#.#.#..#.#.#.##.#..###.#.###.#.#.###....####..###.##.....###...##.#######.#..#...##.#....#....##..##.#...###..#...#.####...#..#..#...##..##.###..#.#.##...##..#.##..###.###.#.#..###..#.....#...#.#.#.#..###.######.....#.#..##...#...#..#.#####..#..#.#..###..#.#.#..#....#.#..##.#.##...##...###.##..##.##..##...#....#####.##.....#....#..#....#...###.#.####.#..###..#####....#...#.#.##..##.###...##..###.##.#####..##..##..#.#..####.#.#.#....#...#.##..##...###.##.#...####.##.#.####.#.#...###..###..#..#...#.##..####...###.#.#....#.##..####.#.#####.#..##....###.....#.....##..####.#####...#..###..#....#.#..###..##.#..#.##.##.####.#..####....####..#####..##.######.####.....##.#..#...#...##.......####.##.#..#####..#...###..#.#..#.....###..#..####.##..##.#..#.#.##.#####.#.###.##.#.#.###..#########.....#.#...#.#.#..#.##....###..###...##...#.#.###.##.##.##....##.#..#..##.#..####.#####..#.##.####.###.##.#....####.#.###..#..#..#######.#.#.#.##..#.##....#.##..#..##.#..#.##..#..###..##.....##.#.#####...##.#####....###...##.#.#....##...#..##...........#.#.....##
....#.#...###.###.##..#.#.##...#..#...#.##..#.##.##.###..##..##...#.##.#...##.#.#.##.##..#..###.#..#.######.#.####..#.###.#.###.##...#####...#.#..####...#.#..#.##.###.#.##...##.#..#.#.#.###.##..#.#####.#####.##......#.###...#.###.....#.#.#.#.#.#..##..##..##.##.##...#.#..#....##.#..#..#####...###.##..#.#.#.#########..#.#..####..###...#.####.#.###..####.####.###.#....##....#...####.##.##..##........#..#.#.#...##..#..##.#....#.##.#..#...#......#....###########....#.###..##....#..##..#.#.#....#..##.....####.##...#....##.##.####........#..######....#.##.###.#..#..#.#.########.######.#...#..#####.#.###.###.##.#..##..#.#..#.####.....#..###.##..##....#.######.#....#######..#..#.####.#.####.####...##.##.######.#.##....#####.##.##....#.###.###...##..##.##.###.....#..###.#####.#.#.##.##...#####....##...##..#..##.#.##......#.#...##...#.#..#..#.#######..#.#.#.#######..####.####.#..#.#####...##.##..#.###.#...#.##...#...#####...##...#.#.##..#....##..##....##..#..##..##....#.#...#....##.########.####.#.#.#.####.......#.#.#.#..##....#.####....##..##.#.####.#.##....#.....###.#..###.#...#.#.#.....#..#.##..#....#.#..#..##..#..#..#.#.#..#.#.####.#..####.##.....##.#..#.#.####..#.###..#...#...##.#..###..#.##.##.###.##.#.......#.##..#.#####..#.##...###...#..#.##.##.#.#####...#.#.##.###...####.#.#.....###.###.#.....#....#....#..#.##.##.###.##..##.#.#..#.#.####.##..##.##.#.##.#..##........##.#.#.#.##.#......##.##..#..#.#####.##.#.####.#...#........#.......#..#...#.#...........#.#......##.#.#...######.##..####.####.##.####..#.######.###.##.##..#.##..##.#.#..##.#...#..#.##.#...#...###.#.####...##..###.##....#.##.##.#.##...##.#..##..##..#.###.##.####...#.....#.####..####.#.#..#..#.##.#.####...#.....#..#.##..#.#.###..##....##.#....#.#.#.###.#####.#.##.#....#.#....#...###.#.#.###.#..#.##..#.#...##..#...##.####.#..##...#.####...#.###..###.#.#####.##...#.#..#.##...##..#....###.###.####.##..#..#.#.###..#.#.#.#..##.#.....##...#..#..#.#...#......###.##.#..##...#.#...#.##..#..#...#####.##....#.#.#.###.
##.##.#.##.#....###..#.###....#..##.....###.###.#..#....#.###.#.##..#..#...#....#.##..###..#...#........##...#...#..#....#....##.#.###.#.#.#.#.####.##..#..###..#.#...##..###..##.......#.####.#.#..#....#......#.#.##.#.#.#...#......#....##..#.#.####..#.##.#.#..#....#####.####....#.##.#..#.#.#.#..#.#....#..##...#######......#..##..#....###.##.###....#.#######.##.####.#.#.....##...###..#.#####...#.....###.#..#...##.#.##..##.....##.##.#.....###...###.#####.#..#.......###.##....#..#..#...#.##...###.....####..#.##.#.#......#...#.##..##..##..#..########..###..####.#..#.##.#..####...#.##..#...##.###....#.#.#.##.##...#.#.#.#.####...###...##.#..#..##..#.##..#...#...#.....##.#######..##..###.##..###.#..#...##..###..##.#.###.#.#.###.....##.##..##.#.#...#####...#.#....###..#...#..###.##....#.#....#.##..###.#.#.##...#..#..#...#.##.#..##.#.#..#..#.#.#..##..#..#####..###...####.#.....#.##...##..##..#.###.##...#....###..##..#.#...###.##.#.#.#...##.#.##.#..##.#.#.#.#...##.#...#....##.#...###......#.##.#.#.#..#.#.##..###......####.##.#.#....#.##...#...##.##.#.#..###..##.##.#.#..#..##.....#..#.#..#..#.#.#..#..##.#..#...##.###.#...###.##.#...##...#..###..#..#.##..#...##........####..##.#..#..##.#.##......#.###.##..##...#..#####.##.####..#.......#...#..#...##.#.##.##.#...#.#....#.#.#.#..#.#.###.#######.....##...#..#.####..#...#.#.##.######.#..###..##.#.###.#.##....#..#####.#.##...##.#.######.#.#.#..#.#..#..#.#..#.#.##.###.##.#....###.####.#.#..#.#..####.#.#.#..#.######..#.####.#...##....##..###.#....#..#..#..#..#.##.#.####...#..#...#.#.#.#.##.#.#.#.#..##..##.##..#..#..#...##.##.#...#..####.#.#.###.#..###.#####.###..##..#.#...#...##.....#..####..#..#.#..#.#.....#....#####.##..###....#.#.##.....#.#.##.#######..##.##.###.####..###.#####..###...#...#...##..######...##.#.##.###....#.###...##..#.#..###..###..#.###....##.####.#..#..#..#.##..#.#..###.#.#...#....#..##..#.#.#.#######..##...#.###....#..####.#.##.#..#.########..#.#.#.###.##.##...#...#..##.#..#.##.#.#.#.#.#.#####.#.##.##..#....#.#.##.
..######....###.####.###.##.##.#..#..###..#...###.###.#.##.......##.##...#.##..#.#...###.##.##..#.....#.#####.####..##..#...######.#....#..#####.#..#..###.##.#########...#..#..##...##.#.#...##.##..#.##.#.##..#.#.#.#.....#......#..##.#.##.###......#.#.#.####.#.##..#.####..##.#####.###.#..###...#....##...#.###.##.##.####.####..#..##.###.#..########...#....###.#....#.##.##.###.#.##...#......#..###.###.##..##.#.#.#..#.#.#..######....#..#.#..##.##..#..##....###.###..#...##..###..#.#..#.#.###...#....##.##..#.#.#..##.#.#.#.......#.#.#..#...#.#..#....#.###...#.#.##.#.##.####..#####..####.####.##....##.#.#...#.##..##...#..#..#..#.#...#.#..#.#.###.###.#####.#.#.###.#..###..#.#..####.#.####.#.##.####...#....#..#....##.######..#...##.#.#....#..#.#.##...###.#.#.#..###....###.#.##...#.#####.#...###....#.#.###.##.#..##..#.#..###.##.##...####...#.#.##..##.###.#.#.##..#.#.#.#####.##..#.#.##.######.##.###...#######..##....##......####.#..##.#.#.#....####..##.##.#.#.###.##...#.##.#..##.#.##.#.#..##.#.##.###.##.####.#.##....###....#.###....#...#..#...#....#..#####.....###..#.##.....##.#.##.#..#####..#.#.#######....##########.#.####.#.#..#.##..####....######...######.#.##.#.#####.#....###.####.#.#.#..#...#....##.###..##.##.#.#.#..##.#.##...##.###.#..##.#..#....##..#..#.###########.#..#.#..######.##......##.#.###.#####..####.#.##...#..#...##.#..##..##....##.#.##.....#.####.....####..###....#..#.#.###........#.....##..###.##.#.#.###..#.#..#.#.##.####..#...#.#..##..#######..####.#.....#....#.##...##.#.#####.....#####.###.#.#..##...#...#...#.######.....#.###..#.#..####....#..##.#..#.#####..##.####........###.#.##.####......#..###....#.....###..#...####.###.#....##.#####.#.####...###...##.#.###..#.#.#.#...##....###....##.#.#...####..#.####..#..#####.#.##......#.##.#####....#..#.###.##..#.##.#.######.###..#.##..##...##...#..#..#......#..#...##..#.##.###.######.#.....#...#..#......#.##..#.#.....#...#...####.#.##..#.#..##.#..##.#..##.#.####.#...##.##...#.######.#..##.#...#.#..#..#..#..##.#..##.
#.###.##.#...#..##....##..#...##..##.##.#...##.##.###..#####...##...#..#....##.##..#.#..#....#..#...####.###.#...##.#...#...###.##.#..####..####.#.###..###.#..#...#.###.###..###..##.#......#.#.###..#.###.####....#.#..#.###.#....#....###.#..#####.#..####..#.#....#.######..#..##.#..#.####.####.#..#.#...##.......###.##...#....##.#..#..#..#....#..#..####...#.#.#.#...#.#.....###.##.######.####.#.#.#.###..#.###.##.#..#.##..#.########...##..#...###...#.#......#...##.#...#...#..##.####...###..#.#..#.#...##.#..###.##......##....####.#.#...####.###....###....##.###.#..##...##.#...#.#.#.######..##.#.#.#.#.####..#.##....###...#.#.#..#..#...#...#.......#.##..##.#..####.##.#...#....##..##.###....##.####.######..##..##.........#....#..##.#..##.##....##.###..#....###.####.###....#######..#..#...###..#.##..#.###..#.#.#...###..####....#..#..##..#.####.#....##..#..#####.#...##...#.####......#.##..#####..#.##...#.#.###.#.#.....#.###.#.#...##....#.##..#.#...#.##########.##......#.#.#..#....#...#.#..##..###.....###...##.###...#.#...###.#.###.#.#.#..#....#....###..#..##...###..#..###...###.##.##...###.#.###.#..#.###.#######.#.##....##..#.#.#...#####.##.###.#..#.####.#.#.####.#.####.....###..###.....##...###..#.#..#..#..#.##.###..##.#.###.##....####.#.#..##........#.#########.#.###.####.#..#...#..#....####.#...##..###..######.##..#...#....###.##.#.....#.##..##....##...#.####.#..##.........#..#.#.#.####.#..##.#.#.#.....#####.###...#..#...###.#...##..#.#######...#...#...#.###.....#..#...##.###.####.###...#.#.###.#.##..#.##.#.##..##.#...#####..#...#..##..#...#.##....###....##..#..###.#####.##.....###...#.#.##.#..##..#...#..#######...##.#...#.##.#.#....#..##.#.###..###.#....#.....##..###.##.#.....#..#.#.##.##.#####.###########...##.###.###..##.....####...#######.#...#..####...#.##...#..####..#.##.#.#.#.#.##..###.#.##..#.##.#..##....#...#..#..##.#####...###...#.#..#######...#...####.##.####..##.####..#..###....###...##..##.#..#.#.##...###.....#.#.#.##..#.#.##.#.##.#..#...#.###..##....##....#..#
...#####..###.####.#.#####....####...#..##.##...##...##.#######.#..##.#####.##......#.#...#....###..##.#.##.##..##.#...#.####...#..#..#..##.#..###..#..##.....###..####.#.##..#.##..##..#.##..#...###.#....#...#.##.#..####..#.##.###.##.....#.#.###.##.#..#..###..##....###.####..###.#..##.##.##...#.......##....#..#.##....##.#.##.#.###...##..#.....#..#.##....#.#.#.#..##.....#...#####.###.#.#.##..####.#.#...####..#..####..#.##.###.##..#..#..###.####..#...#..##..###...##.#.....#.##..##..######..##..##.##..#.##..###.##.#..##....#.#..##...##.#######.#.#.####....#.##..#.#.##.##..#.####..#.##.##..##.#.##....#.#.##.###....#####.#.#.##.......#..#####..###....#..####..###.#.###.##.#.#.#.#####....#.#..#..#.####..#..######...####.#..#####..#..##.###.#.#..#.###...#.....#.######.##..##.#.#####..#.##.#...#...#.#.#..####..#..#..#..#...#..###..#..#..#.#.#.#####..#..#.#.#####.#.......###.#.##.##...##..###..#...#.#......######.#..#...#.#.#.###.#..##..#######...###.....##...###......#..#.##..#..####..###.##.....#.#..##..#.##...#.#.###..##......#####..####...##..#.##.....##.###..##.#.#.####..######.#.#...###....##.#...#...##.##...##...##.####..##........#.##....##.##......#.###.#....#..###...#...#..##.#.#.##..#..#.#..##.#.##..#...#...##......#.###.##..##..##..##...#......##.....#....#......##...##......#.....##..#.##.#####..###.##.##.#....##.#..#...##..###.#.#.#..#..#.##..#...###..##..#####...#..........#...#.#.....#.#....##......#####.#..#.####...#..##..#.#.#..##.#.####...#....#..#.#.##.##....#.###.#......##..#.#.#.#....#..##.#..#..#.#.#......##..#...####.##.#.#...##..#.##..##.##.#....#......##.#..#...##.#.#.#.#.#...##.####..#.#.#...#....#.###..##.##..##...##.#.#..#..##...#....##.##...####.#####.###.#..#.#...#..#####.#.#.#..#.....#########.#.#..#..#.#..#.#.#....#..#.#...##.##.##..#.###..#..#.....#####..##.####..##.#####...#.#...#####.##...##..#..#..###...##..#..#.#.####..#.##..#..###...#...#....#.#..#..##....##..#..#..##..##.##.##.####..##.##...#..####..#..##...#.##.##..##..##.#.###..#.####
.#.##.#..##...##.#.#.##.#.#...#.####..###..####....##..#..#.#..#...##.###.####..####........##....#......##....######..##.#####.#.###..#.###.###....###..####.#......#....###..####..##.###..####...##.#.#..#.##.....#.##.#.######.#.##...#..##...#####..##....#...#...#.##..##..###..##..##..##...###.#..#.#..#.#.###..####...#...#....#..###...#.#...#..###.##..##.#.#..#.##...#.##........####.#.##.##.###.....##...#..#####..##...#.#.....#..####.##.#.##.#....#.#.##...####...##.##.##.#.##.#...##..#..........#..#.#...##.#.##.###.###.....#.####...###..#.#...#...#.#....###...#.##...##.#.##.#####.#..####..##....##....##...#####.#...#..#..#.#.#.#.##.###.##..##.####...#.##...#..#..###.########.####.#..#..##.#....####.##.###.###...#.####.##.#..###.###.#.#..#.#..##..##..###.#.###...##.##.##.###.##.###.....######.##.##.####..#.###.###.####.########.##..###.....##.#...######...#.#...###.#.#....#..######.#.#.#...#...#..##.#.#.....##.#..#####.##...###.....#.#.#.#..###..#..###.#..###.###.#.#.####.#.#.##....#.....#.##..###.###....####.#.#######.#.###..#...##.#.###.#.......#.#.###.##..#.##..#####..#.#..#..#..##.#.##.......#....#.#...#...##.#.####...####.###.#.###..#..#.#..#####.##....#...#.##....#.#.#....########..##..#.##.....#######.#.####.###.##.##.##...#...#.#.###...#.##.##.####..##...#.#..###.#####...#.#..#..#......#.#####..#.##..#.##.###.####.##.#...#..###.#.#..#..###.#.##.#.##.##.##...##.#.####...#.....##.#...##.##.##.#...#.####...#####.....###....########.###.###.........###....###.#.###.#..#.##..#..####....##.#...#......#....####.#....##...##.#...##..####.####.#.##.######.###..###..####.##....###..#.....#..#.##..###.##..#.#...##.###....#.####...#.....#......#..##.....#..###...#.#....##....##....#..##..###.###.....####..##..#.#.##....###..#.####.#..######.##..#..#.#..##.....###...###......#.####.#.#..##..##.#...#####..##...####...##.#.#####...###########..##.##.##.#..###.#..#..###....##.##..#..#...##.#.#######..#.##......#.....#..##.####.##.##..#..##.#..#.#.####..#....#....###.##.####.
.#...#.###.##..#.#.#.##..##...#.#.####..##....#......#..##.#.....#.##.#..##.#.#.##.#...#.#.##..#..#.#.#...#......##..#..#..#..#....#.....#..###.#.#...###..##.#..##.....#####..##...#.....###...##......##.#..#######.#.#.#.......##.##..#.#.#.##.#.#..#.##.......####..#....#.#.###...###..#....#####...##.#....#.#.##.#..#..#..##.....#.#..###....###.....##.#..##..#.##..##..###.####.#.##.#.##..#####..#..#..##....#.#########...#..###....######...#.####.#.#....#.#.#.#...#..#.#..#..###.#..####.##..#.##.#.#.####..###....#.#.....#####...#....#..#....###...####.##....########.##.......#.#.#..#..#.##...#....###..#.##..##......###....#..#.#...###..#....#.......#.#.#.#.#..##.#####...####..##....#...###..##...#.#.##.#.....#...#.#####..#..####.#.#..#..#.##.########.#..##...#........####.###..########..##.#.##...##...##.#########..#.......#.....##..#...##.###..##.#..#..##.#...######.....#.#....#.......####.#...#.#..###.##.#.#..#..#.##......##.#.#####.#.##.####.#.#..##.##.#..#.#.##...####.#####..##.###....##..#..##....#.#.#...##.##.#.....#....##.##.##..#.#..#.####..##.#.#.#.#.#..####...#..#......####..##...#.#.....#...#..#.#...#..........#.#####....##.##.####...##...#..###..##...###....#..#...#...#.#####...######.####..#...#.##..####.##.#..###.#..#.##.#..#.##.#.#.#...###..#.#..#..##...##..#####.#.###..#####.#.###.#..#..#.#...#.##..###..#.#.#.#.#.##.####..###...#...#....##..#....#.#.##..##..########..#..##.###.#.#...####.###..#.##.##.####.##...#.#.####.###...##....########.###...#.#..#..####.##..##.#..#..##.#.##....#.####.##.#####.#.#.#.#..##.#.#...#.##..#..#.#..#.###.#.#####.##.#.##...........#....###..###...#.#..###.#..#.......##..##..#.....#.###...####.....###.####..#.##..#..##..##.###...#...###.#.#..#..#.##.....#..##.##..#...##....#...#....#..#.##.##.#.#.#..#........#..#..#.##...#..####.##.###.###...#.....#.####.#..#.#####..#.##.###.#..#...##...##...#.....##.#...##...#..##..#...#.#.###.....#..##.#....#.#...#...#..#.#####..###...###.#..###.#...#########..#....#.####.##.##.###.###...#..
.#.##..#..#.#.......#..##.#.....##..##.#.##.#.....######....##.##.#.#.#.##..##.#.#.#......###..###...##..#...#...##...#.#.#....#...#..#.###.##.#.#.#....#..#...#..#.####.#.#####.####...#####..##..#....####.########..####...##.#.#........#....##.#####..####..####..##..###.##...#...####.##.#..#...##..#........#.###..##.#.##.#.###....####.#.##.#.##.########...#####.##..#####.##..#..#.#.#..#.#########...##.####......##.########..#.#..#....##.##.##..#..#...##.#...#.##.##.#...#........#######..#.##.#...#.#.#..#...#.##.####.###.####.#.###.#.##...#...#..#.#.##...#....#.#.#..##.#.#####.##.##.#..###.####.###.........#.##.##.......##.#.#....#.###..##.#####.#.#.#....##.###..####......##..#..#....####.###.#.###...##....#..##...##.#....##....#...#....##.#....#.##.#.....#.##.#......#####..##.##.#.##.#.##...##...#.##...###.#.#####......##..#...#..##.##......##....##.#......#...#....###.###..##..#.####.#.###.#..#...#...#.....####....##.#...##...#.....#.#.#..###..###.##.##..#.###..##.###......##.##...........#.#.....#.##.######..##....#####.#####...##..#.#..####.#.##....###...#...#.#.####......###...##....###..#..###...####...###.####..#.###....#.##..###.#..##.##..##.#....##.######.##.#.##....#.###...##.#..####....#.##.####.##.....#.######.###...#.#..#..####.#.###.#..##..########.##.#.#...####..#.#...#..####.##...##........#......##.##.#.##.##.##...#.#...####.##....#.##.###.##.#.#..##.#..#.###.##.#...##.#.###.#####.#.....#...#..##.#..#....#......#.....###..#.##.#####...###......#..#..###.###..##.#...##.#.#.#.##.###....#.###.#..#...#.###.##.#...#.#####...##..##.....###..#.####...#.####.#..####.###########.###..###.###...#.##.#....##.#.#.##..#.#..##.##..###.##...###.##...#.####.##..##..#.########..#..#...#..#...##.###..##....##.#.###....#..###....#.#........#.#.#.#...###.##.#...##..#.##...###..#.#.#..#..##.#.#..##.##.##.......#....#...###..##..####.#.##.#.#....###.#.#....#####.##.#.##.###...###..#.###.#.###.#...#.#.##..#.##.#.###.###.#....#.#.#..###..#.#.#..##.########..###.......##.#..
.#.#.####...##..#.##.#...#...#..##...#####.#..###...##.###...####.#.###.....#####.##..#.###.....##..#####......#..#.#.####.#....#######..#####...#.##....###.#.#..###..###.##.#.#.##..##..#####...#.#.###..####.##...#####..#####.##..##..#...#.##..######..#.##.#..##...#.#.#.##.##...#.###..#..##.#####.....#.#.##..##.....#..##..##.#.##...#.##.....#.#.#....#.#.#.##.....#.############.#..#.#....#.###.#..##..#...#.##.#.#.#.#..#.#..##...###.##....##.#.....#.###.###.##..#####..##..##.#..#..#.#..###...###...#....#..###.#.##.##..#.##.#.#.#.....#.#..##...#.###...#..#.#.###..####..##.....#..#..###...#.#####...##....#..#.####.###.#...#..#.....#..#.##......#.##.#####.#####.##.#..#.#.##.#....#..#.#.##.....#.#..###........###.##..##...#..###.##..##..##.#.....#.##..###..##....##.##.#.####.#.#...#.#.....#####...####..#..#.##...#....##.####..#..#####.####...##..####..###.###..#..########.####.##.#..#.#.#####..#...####...##.##.#....#.#####...##.#....#..##..##.#..###....#.....#.##.####..#..###.#.#.#.#.###..#...#...#.#.#######..#####...###.#.####......##..##.#....#.#...####......#.##....###...######.###..#...#....###.###.##...#.#####...###.#...#.#######...###.###.#..#.......##...##..##...##.####.##.##...##...#.####.#...#....###..##...##...#.#..###...###.##.#.#.#.#####.#.#....#..#.##...###.##....#.##...##.#.#.#####.#.######...##.#..########...########..##..#.##..#.#.#.###.#..#.##..#.....#.###.#..#.###...##..#.#...#....#..###.###.#.##.####..##....#.###..#....##.....###...#..#..#..#...#######..#..##..#.###.####.##.##.###..##.##.#.#.####..#.#.##...#.##.#.#.#...###.##...#####..#..#..##.###.#..###.#.#.###..#######...###.#...#.#.#.#..###..##.......#...###.#.#...#.#####...###...##...#...#.#..####.#........#...#####.#.#.##.....####..#.....####...#####..#...#....#####..##.###.#..#..#.#.......##..#######.###.##.#..#...##........#..##...#.#.#..###....#..##..#...###.#...#.#..##..#...#.##.######......#.#.#..###..#.##.#.#.##...#..#.#####..##.....###.#..##..##...#.#..#....#########...#.#..##....#.#.#.###.#
.#.#.#....##.######....#..#.#.####.#......#.#.#...##.##.##.#..##...##..###...##...#.#..##.#.#...#...#..#.##.####.##.###..#...#.#...##..####..####..#...####.###..###.#.##...#######..#...#.##.##...##.#..##..#...#...#...#.#..##.....###.....#.##.....##.#..##.###.#..#..#..#...###...##.#..##..###...#.##..##.##.#.##.#.#..##.....######.#..#..#.#....#.#.##.######.#...#..#.#...###.#.#.##..###.####...##.#..#.#..###..#..#..#.#.#..#..#.......#...#.###.##....####.....#.##.#..##.#.##.##...#.##.#####.#.##.###....#..####.##.#..######..###.#########.#.#.#..###..#.##...#.##......#.....######.##.#.##.##.##.#.##.###.##...#.#..#.#.....#..#..#.#...########.#..###.#####.....#.###..#####..###.#.###..####.####.#.######.##....#.##.#..#.......#..##..#.#.##.#..##.#.###.##.#.#.#.#..........#....######.###.#.#..##.##..#.....##...##.#.##..###....#.......#.....##.###.#.##.#.#..#.#.#.#...#....#..#.###....#...#.#..#....##..##.#.####..#.#..#....#.##...####..##.####....#.####..#.##.#.####.###..#..#........##.##.##.######...#..##..#.###..#.####..##.###...#.#.###.#.#####..#.##..##.#..#..#..####...######....#..#.##....####.#.#.....#...#....#....#.#...#####..##.###.##.#....##..#....##.#....#.....#....#.#...#######.#...#.##.#.#...###.#.......#.#.#..#..#.##...#....#.###...#.#.###.#.#...#..#..###.#.##..#.##.#.#..#.##.#.#.........###....#.##...#.#####.#..####..##.#...#.........#..#....#..##.#.#..###..###...##..###.##..#.######.#...#.....#..#######.##.##.......#..###.###.#..###.#.#..##..#.....###..###.##.#.####...##....#.##.###.##..###.#####..####.#####.#####...###..#..##.....#..#####....#.........##.#.#..###.#.#.....##.#....#.##....##.#..##.###.....#.#..#..###.##.##....#.#####...##..#####......#.####...##...###..#......##.##..##......#..##.#...#.##.##.#..###.####.#.#.#.##.#..##.###...####.##..#.##..#.#.#.#####.####.####....#.#.#..##...####.....###.###.##.##......#.##.#..#.##.....#.###.#.##.#..#...##.#.##.##...#..#.###.........###..##..##..#.#....##..#....##.....#...#......#.##.##..##.###.#......##.####.......#
###...#..###....##..#..#######.#.#..#.####.......##....###.##..####...#.##.#.###.###.#..#..###.###..#.#.#.##..#####.####..####.#..###.#.#.######..##.#.##.#.#.#.#.##.#..#.....##.#..##.###.....####..#..##.###....#.#.#.###..#.....##..###...#.#.###..###.....#.##..####.#.#..##..##..........#..#...#....#.##...#..#..#.##....##.#####...#.###.###..#.##.#......#.###.##..##.......##.#.#######..##..#.####.#.##...######.#.#.#.#######...#.#..###..#.##....######.....#....#.#.##.#.######.##..#..##.#.##.#....#...###.#..#..##.##..##...#..###.##.#..######.##..#.#....#.##...########....##.#..#.#.#.....##.##..##.#..#.#.##.###.##..#.#.#.#...#.##.#..#..#.#.###......#..####.#.........#.###..###...##......#..#.##..###.....##.#.#..#...#.....##.##.#...#.#..#..##.#.......##.##.....####...####..##.########.......##.#.#.#.###.#..##..###..#.#.##....#..##....#....#######.####..##.##..##.####.#####.#####..####.#..#######..#.#..#..#######.##.###.#.#...#.#.##.###.#.###..##.##..##.#...#####.##....##########.#####.##.#.#.##..##.#...#.........####....##.###..#...##.##...##..#....###.###.##.#..##..###........##..#....##.#....#..###...###.......#..#....####..#####.....##.#..##.#..#.#..#.#.....####.#..#..##.#.#...#..#...###......#..#.##.#######.#.##.#.#.#..#..##....#.#..#.#....#..#.#..#...#.##..##.#####..#.#.###....#.#.##.#..#.##.#.######.###.########.#.####...#..#.....####.#.#.#.##...#.##...#.##.##..#..#.#..####.#.#.#.##.##.##.##.####..###.#.#.......##....##.##.##.####.##.##.#######...#....##.#####.##....##....###....#.##..#####.#.....##.#..#...##.###.##...##..#..#.##..#..#.#...#..#####.####.#.......##.#.##...###.#..#.#..#...#...#..##.###...###..##...##.#...####.....#.#.#.###........##.#.##..#.......###.#.#....###..#.#..#####....####.......#..#..#..##..#..#...#.###..##.###.#.#.##...###.##..##.##....####.#..##..#.......#.#..#.#.#..##..#...#.#.#..#.#####.#####.....#..#..#####..##.....#####...#.#..#.#..#..##..###..#.##..#######.##.#.###.#...#....##..#..#.#.#...#####.###.#.##.##.#.....##.#.....##.######.###..
....###.#...##.###.####.#..###.##.##..##.#.###..#.#.....#..#.#.##.#...##.....#..........######..#....##.##....##..#.##.##.#.#..#.######..#.#....##......##...###.###..####.....##.##.##.##.##..###.#..#.##..#.#..#.#.###.##.#.##......#.#######.####...##.##.#....##......##..##.......#####.##.##.....#..#..###.#..###..###.#.###..###.#.##..#..#....#...###..##.#..#####.##.##.####..###..#####.#.####.######.#.###.#####...#.##.#.#..#.#.#..###.....##..#.#.#.....#.....##.##.#.##.##..#####..#..###.#..##...#####....#.#######..##.#########.#..#.#.#.##.#...######...##...#.###...#.##.#..###...####...#.#.#.#.###..###...##.####.#.##.##.......#.###..#..##.#...#..#.#.##.##......#.#.###.###...#....###...##..#...##.....##.##..#.#..###....###...##.#..###.####.#.###...####.#..######.####..#.#######...#..###.#.#....#.##..###...##..#...#....#...###....###...####..##....####..#...##.#.####..##.##..#..#.#..##.#####...###...###.#.#.##.#.####.#.#...#.##....#.#..####.#.#.#.#...####.....##.#...#....###..#.#....##..#..######.####.#.##.####...#..###...#########..#######....##......##..##...###.###.##.#..##.##..####...###.###..#.######.##..#.#....##.#..##.#...#..#.###.#.....#.##.##.#...#..#.##.#####...##.#..#....##..##.###.####.#..#.#.#.##..###...##.######.#.#.####.#..#...#.###.#.#..#..#..###...#..##...##...#.###..#.#.#.####...#.###.#...#.##.###..#..#....#...###...#....#.##.####...#..####..##.#..###...##.##.#.#.#....#####......#..#..###.#...#.##.#......#..#..#..#.##..###.##.#.##...##....##.#..#..###.#.#..####..#..###.####.#..###..#.#.##.....##.##..##..#.##....####...##.##.####..##.#....#.#..#####....#..#...#..#...####.###.####....#...##..####..#..#..#.#.#...#.#.#....#...#..##....#.#.#.###..###.#.######..##..#.......#.#.#.#..####.....#.##.#.##.##..#..#..###..#.##.#.######...####..######.####.##.###.#..####...#.###.####.#..#....#..#.....##..#.#..#..#...#..##...#####.########.#....##.##.......##..###.###.#...###.##..#.######..#..#.#.##.#....#.#..###.######..#..#...###.##.##..##..#.#..#.#...#...####.####.#.
#....###...##.##..#..#..#..#..###...##.....###...#...#..##.....#.#...#.#.##..#....#...##..#..#..##.##.#..##....#.#.#.....#..#..#.#.#.#..#...##...#.#...#.####....#.#####.#.##.#.#..#..#.###..##...#...#####....####.####.#.##...#.#.##..#####...##.#.#.##...#.....#.#...#.#.####.###..#...#..####......#....#.####.#...##...###.#####.#....#...###..##..###.#...#.#.#.....#.#.#.##..##.....###....####.###.###.#.#...#..#######..####.##..#####.##.##.#######..#..#...#.##..##...##..#.#.#.###......###.##..#####....#.#......#......##...##..#.###.##..####..#.#.###..##...#..####.#.#.##..#..##.#...##......#..#.##.##.###..#..#.#.#.##.##.##.#.#.##...#..#.#...#..##......#..#....#..#.#....###..##..##...#..###.......##.#.#...#...#.##...##....####.#..#.#.##.#...#.##.###..#.###.##..##.#######...#.####.##.#.#.##......#..#.#..######..##.#...#....#..###.#..##...###...##...#..###.#.#....###..#.#.####..####..#..###...#..#.#.#.###..#.##.#.##..####..#.###...#..##.#.#...##.#...#####..#.#.#.......#.#...#.#.#.#......######.#.#...#...##..######.#..#.######.#.....#..#..#.###..#.#......#.#.#.##.#.###.#####.....##...###..#..#.#.#.####..#.#####....#...#..###...#......#####.##.##.##...##########.####.##..###.#.#.#..##....#...###.##.##..##..###..#.#.##..##..##.######...######..#.##.#....#....#.......##..#....#...#.#.#.#####.#####..###..#....#..##...######.#.##...#.......#....#.#.##.#.#.###...#.....###.######...#.#.##...#.....##.##.#####..#.##.####.#.#.#....#####.....###..#.#..#.#..#...###.#..##..#####.####.######.###...####.#.#.####....##....#.....#.#.#..##.....###..#..##..####....###..#.......###.#.#.#......##....#.##.#.######.#.####.#..##.#.#.###...#.#.##.#..#...##.#.#..####..##.#####.##.##.####.#.#..########....#.##.....######.######.#....#.##.##...#.....#..#####.##.#..##.#..####......#.#..##.#.###..#..#.#.##.#.#..#..#.###.#..####...#.#.##...###..##..#...##.#..##.###..#...#...#..#.#.#..##.##.#..#.#....##...#.#.#..#..#..#..####.##..#.......##..##..#####.#...#...###.#.#..#.##.#.#......####..#...####..##.#.....#
##.###..###..#....#.#.##....##.##..##.##.#..#.#.#....##........##..##.#.####.#.....#.#....#..###.##.##.####.....###.....###.####.#..#..#....##...#####..##...#.##..##..#.##.########.....#.#.##.###..##.####.##..######...###..#..#....#....#...##.###.#......#..#.####....#.#.###.#.#.##.##.#..##.###....###...####....#..##.#.#...#.#####..#..#.#..######.#.##.#.#..#..#.#.#.###.#.##.#.#.####..##.###.##.#..#.##.###.#..##.###.....#.#.#..#.##.##..##.....##....####....###....##..#.#..##....#....#....#....#.###..###...#######..##.#..##.#..##.####...##.###...###.#....#...#..#..###..####..###.#.###...##..#.##.#.#.####.####.#...#..#.#.#.#...#.####.....#..##.####.#..#.######...###...#######.####.####.###.#..#..#.##.####.##..##.#...###.#.....##..........#...#.#.#.#.#.###..###.###...#...#.##....#.###.###...#.......#..#.#..#...#.###.#.###....#....#####.....#####.#.##.#.##....##..#...##.##.#.#...#.###.##..#..#...##....#.#.....#..##########.#.#.###.#.....###.##.#####..#.##..#.#..#....#######.####..#.#..#....#..#..###.#...#..##.#.####....#.#...#.#..##.#.##.##.#.....##.####....###.####.##.#......#.#.#.#..###.#...#..###.#.#.##...#.##....#.###.....#..##.#.##..#.#....#...#...###..#.##.##...##...###.#..###.###..#...###....###..####.#.#..#.#.#.#...####.#.#.##########.#####...#.#..#.#.###...####..##.#.####...#....#####.#.##....##.#.##.##..#.#..####...#..####...##.#.##.##.#.#.#.##.###..#.#....###..##..###.#.##..####...###..#.#..####.##.......#.##...#..####..#.#...##.##.#.##..##.##..###..#.#.##...###...###.#.###.#.####..##..##.###.#.##..#.#..##.###.##.####....#....#..####.###...####.....###..#....#.#.#.#.#...##..........#...##.###.#####.#..#....#..###..###..#####..##.......#.##.#...###.#..###...#.##...###....###########..#...#.#.#..#.#...#.#...###.#..##..#...######..#..##..#.#.#.###.#....###.####.#...#.##.#.#..##...#.###.#..#..#......###....###..##.#..########.#..##...#.####.#.##.#..####...#####...##..##.##.###.#####..#.#.###..#..###..#..##.#...##.#.#...##.#.####.####..........#....###....#..#.#.##.
.######.#####.###.......##..#.###.####...#....##.##..#..###..#.#...........###..#.#####.###.###..######...####...#.##..##...#........#..##.#.##.#.#....###.#...##.#..############.#..#.#.#.#.#..####.#.#...##.##.##..#..#.##...##..##..##.##.#.#....#.#..#..###.#..#..#..#..#..#####..#...#..........#.#.#.#.#....#.#####.#...#.###.#..##.###..###.###.####.#####.##...#.#...##.#.....###...###...###.....####..#.#.........##....###..#.....###..##..#.#.#...#....#......#..#..###..#####...#...###....#.#....###.....#.#....###.###..##....##.##..#.####.#.#..#..##.###.##..##.###.#...#..#...##....#...#.#.####.#...#...#.##...#.##..####...#..#...#..#....##.######.##..#...###..#.#...##.#....##.###..####.#...####.....##.#..##..#.#.#.####.#...##.#.#.##..#..#.#.##...######...##...#.#..#..#..#.##......###.##....##..###.#.#.#..#.###..##...#.#####.#.#.##...#...#.#..####....#.#..#..#.#.....#.....#.##..#...##.#...###.#.##...#..#.#...##..#.#.#####.#..#...#.##.#..####..#.#..#......#..#.#.#..#..#..#...###.#.##.##.#..#####.###.###.#...####.####.###...#.###.#...#..#.###..###.#######..#...#..#.####.#.#.###.#.####..#...##.....#..########....#.#.##......#.#..####.#..##.##..#.#.#####..#..#..#.#.##..#.###..####.####.#...#.#.#......#.#.#...#.....#.#####.###....#.#..##..###..###.##.#.#..##...#.##.##.#.####.......##..#.###....#.#.#....#..#####....#.####.#.##.....##....##.#.##....#.##...#.#..###..##.#.#.##........##.##.###.##..####..##.#..#.#.#.#.##.....#.##..##.#.##.#...##.#.#..##.#####...##.#..##.#..########...###.###..#..##..#.#..##.####...#..#.#.####..#..#.##.##.##.######....#...####.#..#..#...#..#..#.###...##.###.#..#...##..#.###..#..#.#.###..####..#..#.#..##...##..##..####.#..#.....##.####.#.##.#.#...#.###..#.##.##..#####..#####.###.#..##..#.#..###.#.###..#..###..#.#.#....#...#...#........##.....#.#.#....#...#...##.######...###........#.###......#..##..#..#....#..##.....##.#..#....#.##.#...#.#..####..##....##..#.####..##....##...#.#.#..#####.....#...#..#######.###.#.#.##.......##...##.####....#...#...#.#..
.##.###.###..#.##.#..##.##.#....##.....#.#.###...#..#.#####..####..##.....##.##...#.......###.#.#..###.##.##....#.#####.....#..###.##.####..#.##..#.#.#...#.#..###.##.#..#.###...#...##...#..###..##.....###.###.###.######..#.#.######...#.##.########.#.####...#..######.#..###..#..#.##.#..###....#...#..#####.#...#.#.###.##....###..##.#........#.#.#..#...#.##.#.#.#..###.#...####...#.#..##.##....#..##.##.#..#..#.......#.#..#..#####.####....##.###.....##..#..###.###..#.##.##.##.#.##..###...###.#.#.#.####.#..#.#.#...#.##..##....#.####.#.#.##.#...#####.#...#..#.#...#..##..#...#.#.##.....##.#.#...#...#.#....#.#...#.###............##.#..##.##......##...#..##..##.#.#.....####.###..#.#...#..#.##...#.##..#..#....#..#.#.#..#.#......###..#...###.#....####.#####...####..###.#.#.#....#..#...#.#....#..######.#.##.#.####....#.##..#.####.#.##..#.#.###.#.#........#.#..#..#..#...#...##.#...#####.#..###.#..#########....#.#...#...###.#..##..###..#.##.###....#...##.#...#####....##.##.#.#.#..##....###.####.######.#..#...#..#.##.#.##....###...##....###.#..#..##..#.##....##..#.#.####..#..####....##..##.#.######.######.#..####.#..#.#.#.#.##.###.#.##.######.##...#..#.#....###.#...#.###..##.....#.#.#....#..#.....#.#....###.#.#....#..#.#...#.##.#.#.#....###.....#.##.#..##..######..####.###.#####...#.#..##.###.##.....###...#...#######.#####.#.#..##...#....#..#..###.#...#...#...#.##.#.#.###....####.####..###..##....#####.....#...##.#####..##...###..##...###.#.#...##.##.#...#.#...#.#..#.#.#..###...#..#..#.#....#.#..###.#....##....#.##.##..#.#.##..#..###.##.#.####..###.#.##.#..###...#.#.##..#.......####..##.####.####.##.#.##.###.#...###..#...##..##..##.##.#.#.###.##...#...##.#..#....##...#...##.#.#####.##..#########.####.##..##.##.#...#.#.#.#..#...##.#...##..#.#.##...#.####.#....#.#.####..#.#.###.##...#.#..##.....#..#...#.###.#.#......####..#.####.##.......###..#........#.###.###.###....#.####.#...#.#..#..##...#..#.#..###.#####.#.##.##.##.#.##.#.#.....#...##...##.#....##..####.###.....#.#...#.######..#
##.#.###..#.####.##....####...#.##....#..###.........#..####..#......#.##.#.....#..#######..###.###..#..#.#..##.##...#...#.#.###.####.#.####.#####.#....##########.#....#.###..#....##.#.#....##.##.#.####.##.....##.#..##..#..#.##.#....###########.####.##..#.##.....#..##......#...#.#####.#..###..#.##.#####.##.###..#.#.#.#...#......#.#..#.###.#.####.#.#.##.###.....#.##.##....#.#....#.##..##.###.###...#.#...#.##..##.#..####..#.##.##...####.###..###...###.##.#.##.####.###.#..###.#.#.#......#...##......##....#..#.###.##...#.#....#...#......#.#..##.#.###...#.##..##.#...#.###.###.#.#.##....#..#...#.##.#.##.#.#.###.##....####..###.####.#.......#.#.#...#...#######....##.#..##..####.#...#.#.####.####.....#..##..#..#..##.###......#.###..#...###.###....#..####.####.###.##..#..##.#..##.###..##..##.#.##.#..#.#.##....#..##.##..##.######.###.########.##..###..#..###.#.#..##.##.#..........###..#.#..#.....####..#.######.....#..####...#..#.##.......##.####.....#..##..#.###......##..##.##.####.#..........##.###..##..##.#..#........#..#.#.##......##...#.#.#.#.##.#.#.####...###..###......###.###.#....##..##...####.###.#.#.#..####.##.##...####.#.#.#..#.#.##.##..###...#..##.###.....######.##.#....###..###..#...##.#.#.###.#.###.#.##.###......#..#.........###..#.##.###.####....##.###.####....#.#..###.##.#..........####.##.####.#.#..#..##.##...##.##..###..##.#..##.#.#.....#.#....#.######..#.##.##..###.###.#..######.#.#..#....##...##......###.##.#..#.##.#..#...###.##.#.##.###.###....#..#...##.##.##...##...#..##.#....###.#..#######......#.#.#.##..###.#...####...##.###..##..#####.#.##..###......#.....#.###.##.#####..#..#.#..#.##.#.###..###.####.....##......#..####.#..######.#.#..#...#.##...#.#.#.##..#..##..##...###...#.###..#..#..#..#.#.###.....#...#...#..##....##.###.#.#.#.##.##..#.###.#.##.#####....#...#.#.#.##.#.####..##...#.###....#.###.##.###....##..#.......###.#.##.#...##..###....##..#..#...###.#..#.#.###.#...#....###..#.#....#.###..#.####..#..#.####.#.###...##..##........#.###.#.##.##.#..#.
#####.#.#..####..##.....#####.#...###...#..##..#.#.##...##...#..#....#...###.##.#####.#..#....#..##.#####.#.###..##..#.###.#..#......#.#.#.#.###.##.#.##.#.#####.###..###.#..######...........#.#.#.###....###...#..##..#..##...#.###.#.#####......#...#...#..##.#.....#..######..##...###..####..#..#..#..#...#.##.###.#.####.##..###...##..####..####............###..#.##.........#.#..#..###.#..##...###..####..######.#....#.###.###.#.###.....###..#.##..####...#....####......##...#...##.#.##.##.####.###.#.####.....#######...#..#...#.#.....#.##.#..####....#...###...#.####...###...##..###..#.####.###..##...##.#.#.###.##...###.#.##...###########....##..#.##.#.#....#.#.#..###..###..#..#..#.....#..##.###..###..#.#.#.#..####.#.##...######..#.###...###..####..#.###.##.####.###..#.#..#..##...#..####.####.####.##.###.######.#..###.######......##.###..#.#####..###..#.#....####...#......##...##..##.#..#.#...##...#.##....####.#...#...#......##.#..##..##....####.###....####.#######.#.###.#....##.#.##..#....###.#.#.##...#..###.##..#.####..####.####..#.##......#.#.####.###...####.###.#...###....#...#.#..#.##..##....#......##.####.##.#...###....#...#.#...##...#..##.##.#..#..#...#.####....#..#.##...#.#.##....#.##..##.###..######....#..##...####.#........##....####.#.##.#.#....#.#....#...#..#####.#...#.#.......##...#.#.#..#...#.######.#..#.####...#.#.##..####.#....###.......#######..######.#..##..###..##..#..#.#..#..##.#.#.#..###..####...#.###..#...####.....#..###.#..#....#.##..#..###########.###.#..#.#.####.#.....##.#####..##..#.#...###.#.#.........#####.#...######..##...##...#.#....##...####...##.##.#.#.#...##....#.#.###.#..###.#.....#.#..#...#####.....#.##..##.##.##...#...#.#.#.#.#.#..#.#......#...#.#.#.##..#....##....###.#..###.....####....##..#.#.#.....#.##.#####.......##.#..#.#####.##.###.###.##.######..##.#....#.#.##.#.##..##.##.........##.##.#.#..##..#..###.#.#...#.#.#.#..#.#.#.#.#.##.###...#...#........#...###....##.#####.##..#.#.##..####...#.###.#.####.##..#..####.##.##.#####...#.##..
....#...##.##..#.#.#.##...#....###.#.....##...#...#..##..#.##.#.###.#.#....##.#####...####.#.##.##.##.#.#.#...##.#..#####.#.######.#.####..#..#.#..#.#...###..#...#..##.###...#.#.###..##...#...#.#..###.#.#.#.#.#.##..##...##..######.#.###.#..#.#####.#.#.....##........##.##..#.###.....###...####.#.#..##.....#...#.#.#....###..###.#.#####...##.#.#.#.#.######..###..#.......##########.####.####..#....#.#.##..###...#.##.#.##...#.####.#...#........###..##.#...##.###....###.#..#..#.....##...#.####......#..#..##..###.#..###.#...###.#.#.###.####.#.##..#.#...####.#.#......#....##.#...#....#.#..##.#.#..#.#.##..#...#########.#.#.#..##....###.###.#..#..#..###.#..######..####..#...##..##...##...#.#...#..####.....###.#..#.##.##..#..##.#....###.#.#.####...#..##.###.#.##.##..#...#..#.###...##.#####.##...##..##.#..#...#..##.......#..#.#.#...###.##..#####...##....#....#####..#.##...#.#..#...###.#..#.....#.#.#..####.#.#.##.##.#.#.#....#.#.#....#.##.##..#..#..###...#.#..#..##.###..###.#.##.####..#....#.#.#.##...#.#..#..######.#.#.#####....#..#.###..#..#.###########.##..###...#....#.###.#...#....####.#.#..###...#####......####.....##.##.#.#########.###.#.#.######.###.#.#####..###.##.....#.##......#.#..#..##.....##..#..##.##..##.##...#......##.#..#####...####.#######....#..#####....#.#.#..###.##.##..#......#..#...#.#.##...########..####.##.#....#####.###..#####.#####.#.###.#...#.##.#.#..#..#...#...###.##.#..#.#######..###.#.####.#.##..######.#...###.###..#.###.#...#......##...##......#..#.###....#..#....#.#...#.###..##.#....##...#####..###....#...##..#.##..#...#.#...####.#......#...#..#.#.##..#...###.####..#.#....#...####.#.#.##..##.#..#....#.##..#.##...###.....#.#####..#..#..###..#.#.###.....##.#..##.##.#.#####.#..#..#####....###....##.#.##.#.###..#..##.#.#.##.##...###.##.##..#...#...#..#.#....######.....#.#######.####...####.#.##.#.#####..#..##.#####.##.##....##.##..#..#..#.#####..###....##..###.###.....##.#####.#...##.#..####..###...#.###.##.######..##.#.#.#.#...#..#.#...#..#.#.####.##.#.
#.######....####...#...#.##..##.#..#.#..#.####..#.#.###..##.##.#####.#..#.....##.#.....##..##.###..#.#.....#.#.#.#....##..###..#.#......#....##..#.##.#.#.#...##....###.#..#..#.#.#.#......#.#.###.###..###..#.#.#.#..#..#...#.##.#...##.#.###..#.#..###...#...####.#.#......#..###.#.###.#...#.#.........##..#.##.#..###.##.##.####..#...#..##.#.#..##.###.#.###.#..#######.#.#.##.#..###..#..#.####.####.###...##....##...#.#.#.#.#..#..##.##.####.##..###.#.#.#.#..#.#.#..##...#....###..#####..##.##....#.##.#.#.#....##.....#.#.###.#.#..##.##.####...####.#...#.....##..##.###.#.#.####.#..###......#...#...##..#.##.....#.#..###..#.......##...##....#.####.....#...###......##.###.##..#.###...##.###.##.#.#.###.###..####..##..#####...##.#.###..#..####.#....#####.#..#####...##..##..............#.###.......##.##...###...##....#..##..##...#..#.#.##.#.##..#...#.##......#...#.##.###.#####.#.#...#.#..#.###.#..##..#.#.##.#.###.......#.##.#..#...##.#...##..#..#####.#....#.###.#.#....#..#.##..#.....#.###..........#####..#.#...#.#....#..##########.#.#.###.###....#...####.##..#......#.###.#..##.#..###...##.#.###...#..#....#.#..###..###..#.#.####.###.#####...#.####.##.##..#.#.#.#..###..#.##.###.##..#######.##..#..#..#..#######.#.###.####.#.##.....##..#.#..#...#...#####...###.##.#.###.#.#.....##.####....##..###.#.#.#.####...#..##.##.#.#####.#.###..##..#..##..###.#...#.#...#..#......#..#####.##...#.###.#...#...##..###..#.#...#...##.#.###...##..##.####.##.##.#.#..#..#.....#...#.#.#..#...##...###...#.#..#..##.#.####..##...######.##.#..####....#####...###.#.###.#####.#.###...##.##.##.##...#.#.##....#####..#..##..#####..###....#.######.##.#...##..#.....###.##.##......##..#.#.#...##########.#.#...#..#....###..#...###..#.#..###.##..##..#...#..#..#.#.#........#.###.#........#.##..###.#.#####.#######..##...#...#..###.#.##.###..#.#...#.#.#######.###.#.##.##..##....#.#.###.##..#...#..#..##.....#...####...##..#.####.#..#......#...###.###..##...##.#...##.#.##.#.#..#.###..#.#...#....##....####....##...#.#.#.##..###.
#...###.#...#..###..#..##.##.##.#..#..###.##..#####.##.###...#.##.....###...#.###.####.#..###.#..###.##.#......##.#.####..#.###.###...###.#...#.#..#......#...###.#....#.##.....##..##..##.##.#####..##.#.#####..####.###.#..#.#....#.#..#.....#...###..##.#...####.#.###.....#..#.#.####.#.#.###.########.#...#..##.#.....###.#.####.#..#.....###.####.##.##..###.###.#.#.##.###.#..#.#.###.....#..##.#.#..#..###.##.##.##..#...#.#.##..#...#.##....#####.#.#..##########.##.#.......####.#.##.#.#.###.#.#.#.#.....##.#####.###..#...#.#####.#..###..##.##...#.#.#..####.#.#...###...#..##...........##...#.##...#.##.#....#.#..#.....########...####.#.#.#..####.##.#..#.###....##..###.#.###..##..#.#.####.#####..##.########..#.#...#...#.###.##.##..##.#...#...##.##.#######.......#.###.....####..###.....###..###..#.#..#.##.#....#...#.#....#..#.###..#.##..###.......########...####...#.#.#####.####.....########.###.#####..#.#.###...#..#...##...###.##..###.##.##..##...##..###..##..#..##..#.##.####.#..###....#.#.#..####.....#.#.##..#.#.##.#..####.##..#.#..##.#....##.#..##.#...#..#.########....##.###...#.###.#...##...#...#.####.....###..#...#.#.###.....##....###.#.#.#.#.#####....##...#.#.....#.#....##..#...#......##.#.....##..#######...#.#....#..#..#..#...##..###.#..#...#.#.##....#..##.#.##...##....###.##.##..#.#.###.##..#.###......#.###..#.#..#####.##.#####.#.##....##.##.###.###.#.###.#.##.......##..##.###..#######.#..#..#.#..#.####.####..#...##...##..#..##.#.#..#..###.#..####....####.#.##.########...#..##.#...###.####.###.####.#..#.##..#....#.####......#.####.##..##..##.#.###.####..#..##.#..#.##.#.#..##.#####..#.#...#..#...##...#.##.##.##...##.......###..###......#.#.....#####.##.#.#...##...#..#...#.#..#.####..##.#.#.#.##.#.##..#.###..#..#.#.####..#....########.#.##...####.....#####.#.####...#...#.#....##.#..##....#.#.###.#...#..#.###..#..#..###.#.#####..##...###.##.##.....#..##..#.##...##.#.........#.....#..##..#..##.#...#.####.##.#.#.##..###.#......###..#...###.#..##..##.#...#..####.#####.#..###.#
#.##.#..#.#.##.#..#.#.###.#...#.###..#.##...##.###.#.####........#.#..#.#.###..#.#.##.##.####.##..##...###...#.#.#.#...##.#..#.......###..#.##.#...########.#.#.#..##.#..#####........###..#.#.##.#.##...#..####.#.####..#..#..#.#...#.#..###..#........#.#.....####.###.###.#...#.#..##....#.#######.####.##.#...##..#.##.....####.#####..##..##.########.####.##...##.##.#.####......#.#..##.#.##.#..#..#..##.........###.#..##....##......#...##.###....######.....###...##.###.##.#..##..####.###.###..#..#.##.#.#..###.##..#.##..##.........#####......#.#....########.#..#.##.#.#.#.####.#.#..#.#.##..#.####....####...#..##.#.####.#...#.#.##..#.##.########.#...#.....##.###.##.#.###.....##...#.##..##.#.#..#...#######.###..#......####.####.##..#.#.#...#.###.#.##.####...#..#..##....#..##.###.#..#.#..##.#.#..#####.##....#.#....##.##.#..##.#####.##..###.###..##...##..#..#.###..###.....#####.#.#.#...####.##.##.####....#.#.#.##.#.#...#.#.#..###.####..##.###...#.#..##..#..#...#.#####.#.##.#.##.##..##..#.#####..#..#..#.....##.##.#..######.##.##.#.#..##..#.....#.#.####.#.#.#..#....#.##.#......###..##..####.####.#..#.#........####...#..##..#......#..######..#..###....##.##.#..#####.##......#.#.#..##..#.##.#..#.######.....##..###..##.##.#..#########.....#..######..#.#.#.#.#..#....#..#..###....##.......#.##.#..##.#####..####...###.##..#.#.#...#...##...#######......#.##.###.##.##.#.#..#.#.#.#.#......#..###.##...##..###.##..##.......####.##.#..#.#..###..#...####...#.###..#...#####.#.###.##.#.###.##.#...#...#.##..#.#..#####..##.#..##.#######...#..#.#...###..#.#...##.##..##.##..##..#..###..##...#..#.##...##..###.#.##...##....##..##..#..#.#..####.#.#.#...#..#.#.#..#.#.#..####.#.#..##.##..##.#.#.###.#.###.###...###.##.##..#....###.##...#..##..#.#.#.#.##.##....#.#####.#.####.#.####.#..#..#.#.#.#####...#.##.#.###..###.###......###.####..##..#...####..####..##.##.###.#.#.....####.#..#.##.#..##.#..#.###.#.#.#.###.###..###....#...#..#.##..#...###.##.###.#..#.###.##...###.#.#.##..#.#.#.###.#.##.#.#####..###.###
#.#..#.###.......#.###..#####.#.#.#..#.##....##.##.####.####....###.##.##...##...#.###...#....#.#.#..#..#.#.#.....#.#.....##..#...####..##....#..##.###....##.##.#.#...##........#####...####.####..##.#.##..#...#.....#.##..###...#..#.#.#..#####.#..####.##..#.##.##....##.#..#.#.#.#.....#...#..#.#.#.#.###.##.###.#..#.######..####....#..#..#####...#.#.#..##..#...#..##..#.#..#...##.....####.###...#..###...##......#.#....###.####..#...#...##...###.....#######.#.#.#..#.....###....##.####.##..######.###...##..##.##.####..##.####..#...#.###...##.#.#.#####.####.####......#.#.##..#.##..#..##.##.###..#.#.#...#.##.##..#...#....#.....##...#.##..#..##.###..#...####.##..#.###..#.##.###..##..#..###.#.#......##.#...#..##.######.#.###.####.##.###.##...#####..........#.###...#....##.######.##..##.#...#...#.###.##.##.#######.#......#....#.##.#.#.#..###.....#..#..##.###.#..#...#...#.##.##...##..#.###..#.#...#.##..###....###.##..#......###.#.......####...##.#.#####.#...#.#.....#..#.#..##.#.#.#.####.#.##.#.#####..##......##..###..##...#..###....###.#.#######.##...#...#.###..##..####.###...##.#.##.#.####.####.##..##..#...###.#.##.###.....###..######.#.#.#.###.....##...##.##..########.##....##.#.#.###.....#.#######.....##.#.#....#.#.#..##...#.#.#######.########.#.#####.###.#.#.##..######.#.#.#..#..##.##.#....#.#.##..##.....#..#.#....#.#.#.....###..#.##.#.######.#..###....##.#.###.#########.#.##....##.#.#.#.#.#.#.#...###.##..#..######...#.#.##..#...####.###...#.##.##.#.....###...#######.##..##.#.#..###..#..####......#....###...#.####.........###.###.#.#.#..###..###.######...#..###...#...#...##...#..#######.#...###..##..##..#.#######.##.#.#.####.#####.#.#..###.###.##.#.######.##.#...###.#.#...##.#...#..#.#..#.....#....#####.#..#..##.#.#.###.#####...##...#..#...#...#..#####...##.#.#.###.....#...#.##..###########.#####..#####.##.##..#....###....######..#....##..#..#.###..###.###.#...#.#####..##..#.###..#....#####.#.#..####.####..#########..#..###.#.##.....#........####...#..#.#.#.###.....#.#..###
#.###.#..##.#..#......##..#...#.###..#...#.##...###.###.#.#.###.#..#..#....###..#.#..#####.###..#.#..#.#.#.#.#.#..#.......#..#####....##..##..#.###.#.#..#......#...#####.#..#..#..###.#.##.#........#..#.###......#.##.#####.##..#.#..#######....###...##...#.....#.##.###.....#####...###.....##..#####.....##...##.#######.##.###.#..##..#####...#..##.####..##.##.#.#..#..##.##..#.#.##.#.#.##.##..#####..#...###...#..#.#...#...#..##.##...#.#.#..#.#.#.###.#.#....####...#.###.....#.#......#.###.#.##.####...##.....###....#.###..##.#.#...#..##.#..##..###.#.#.###..#..#.####.#..#.#.##.#.##....#...##.##...#.##.#.####...#...##.#.##..#.#.#...##...#..##..#....#..##.#..#..##...####..#.#.##..###..#.....#...##.####..#..#......#..##.#.####.#.##..##.##########..#...#.........##..#..##.#....#.....###..#....##.#.##.##.......#..###..####.#####..#..#..#....#.###.######..#.#.....#.#.#..#.###.#####.#..#.##.########.......####....#..#...######.##.######.#..###..###.#.#..#.##.#.#####......#.###.#####...#.#.#.###...#..#.#.##.##.###....#.#.##.##.###.###..#.####.##..##.##......#.##.#.#..#..#.....######....#...#..#..####.##..#...####......#.#.#.#.....###.##....####.#....##..#.#.#.....###.....##.#.#...##.####...##.#.###########...#...#..#.#..#.#........##.#..##..#..#...#.###.#.....#......#.##.#.###..###.#..###.##.##..#.#..#.#.########..#.#.#.##..#..##.##..#.#######..#....###.###.#####...#..#.##.##...#..#..#.##..##.#####.###.#...#.####.#####....#.....#.#.........##.#..#.#.##.##..#.#.####.####.#.##..#.....##......#.##.##.#....###..#..#..#.......####..#...#..#....#.#...####.#...#..#.#..#....#.#..##.....##....#...#.#.#...#...#.#.#.#.##........#.....#.##########..###...####.#..#.##..#.#...#.###..##..#.###...##.#.#####....#.#..#..##.#..##.#.#.#.######.###.#...###..#...........#...####..#...##.####.##....#...##.##.#......#..#...#..#.##.#.######..####..#......##...#..#.##..#..##...#.#####.##...##....###...#####.#..#.#.#.#..#....#...##.#.####..#.####.#.######.#.#..#.######.#..#...#.##.#.#......#....#.#.....##...
..######..###..####.#..#.###.#.#.#..#...##.###..##..#....#.#...##.##.##.###.#.###....##.#....#.###.##.#.###.##...#######..#######.#..##...###.#.##.#..##########...#...#.#...#.#..#.####...#..##..#.#####.####..#.#....#.#...##.#.#........#...###.#.###.#..##.#.#..#####..#..###..#..####..#...#.#######.###..##...##...###.#.###.##...##..##...####..##..##..#..#.#.#..####.##......#.#######.#.#..####.####..#..###.##.##..#####....#.####.#...####.##.#..####..#.#.##..#..##########..#.####.##.###...#.#..##.....#..##...#.##.#####.....#.###.....#..###..####...#..#..##..#..#..#....##...#.##.####.#.##...##.....#.#.####..#.##...####.....#.#...#....##..##..#.##.###..#...###.##...#####.#...#...#..#.#.#.#.#...#.###..###.#...#...#.#.##...####...#..#.#.#..##......##.##.###..#.#.###..#..###..##..#...##.###..##..#.###.#.##.###....###.#.##..#.###.#.#.#.#..#.....#.#......#####.#.#.....###.###.###.##.#..##.#.##.######.####..#.##.#......###.#.#..#...##..##.####...###.......###.#.#.####...##...#.###.#.########.##.##..###....####.#..#.###.###..##.##...#######.....###..####....##.#...###.###...#...##..###..#...###.##.#.#..#.###.#####.#......#..#...##..#..#....#########.##..#....#..##.#.#.#..##.....#..###......#.##.#.##....##..#.###...#.#.#..###......###.#.##.#.##..##.#......#..###.#.#.#..#..........#.#...###.#.#....#.#.####..##..##.....#.###....#.....###.#..##.#.###..#.#...#....###..###...###.#.#.#..#..#....####..##.#.#..#..#.##..#..#.####.###.###...#....##.####.####..####.###.######.#.##########..#.#..####...###...#####.#.#..#..#.####.#..#...#.#.#########..#.#.##.##.###.##..##.#.##..#.#####.#..#......#..##.#....#.##.##...#..#.##.#.#..##...###...###.##..####.####.##.#...#..#.##.########...#.#..#....#..#...###...#.#.##.##..#....#.##.#..######.....#.#.##.........#..#...#.#.##..#.######.#.##......#.##....#..##.#.#.......#.#.#.......#####..#.#.##.#.#.#.#.#..#####..#.#..#...###.#.#.....###..####..#..##.###.#..#######.####.#..#.#.#.##.#..##..##..#..#..##.####.#..#####.##.#.#####...#..####.#..#.###.##..##
###..##...##########.###..##....###....###.#..#.#...#..#####..#..#.##.#....#.#.#...#..#.##.#..#.#.#..#.#..####.#.#.#..####.###.#.###...#.#.#.##..#.#####...##...##..##.##..#...##.#.###.#.###.####..#.##....###.#.###.##...####.####.#.#.#..#.#..##..#..##..##.#..#..####.#..............##..##..###.....##...........#####...#.##.#.#...###..##..#.###....#.#..##.#..#...#.###..#.###..#.##.#.###.#..#.#.#..#.#.####.#...#..##.#.#...#......#....#........#.###...#####..#....#.#.......#..#...##.####.###.#.#.####.###.######.###....#.#.####...#####...#####....###...#.#.##.#..#.###.#.#.#.#.#...##.######.##..#.###..#.......#.###...#..####..#...###.##..###..#.###..###.#...###.#.##.....####.#....#.##.#..##...#..##.#.###.#.#.#...###..#....##.....#.#.#..#..##.#....###.#...#..###..##.##...#...##.##....#.#.##..#.....##.###..##.##....###.#.##...#.##..#...#.####.##.##..###..#.##.#..#......##.####.#..########..##.#####..#.##..##..#####.##.#..#..###.##...##.#####..#.####.#.####.#.#......##..#####.#.....####..####.#...#.#.#..#.#..####..##.#.##.###...###.##.###.#...##.###.##..##.##....##.#...#.#.#.##....#...#..##.###...##.#..##..#..#....##.#.....#.....###....#.....##.####.#.###.##.##.##...#..###.....#..##..#.#.###.##.#.##.#.#...#.#..#..#..#.##.####.#...#..##.....#..#.####..###.####.##.#...#.###...#..##.#..#.#.#.##.##..#.#.#####..##.#..######.#.#.....#..##.##.##..########..#.#.....#...#..###....##.#..###.#..##..#.####.#.#..#..##.#.#######.###.#.#.#...##....#.#.####...#..#.##..##.###.#.####..##.#.#..#.....#...#.##.##.#....###...###.###.#....##.#.###...#.##.####.##...###........####.#.##.......##.#.#..##...#.##..#..#.....##.###..##.#######..#.##.#....#.....#...#.##.###.#.#..#.######.########.#.#.####..........##.#..##.....######.#.....##.##......###..#.#####.##.#####..#..###.##.#.#...#.#.#.###..##...###.####....#...##...##.##..####.###.#.#...###########.#.....##.##.##.#..##.##.##....#.....####.#...##..###...#.##.#.#.###.###..#.#####.####.##....#..#.#.#.#.#..#.##.#.....#....#.#.####..##.######.##.#..##
..#####.###.#..##...#.##..##.#.#...##.##...######..#.#..#..###....###..###.#####.#..###.##.#...##..#.###...#.#.#.##...####...####.#####.#...#.#.#..##.#.#....#.#.####.##.###.##........#...#....##.#.##........#..#.#..####.#.##..#.##...########...#.##..#...#####.##.#.##....#.#..##..#...#..##.######.###...##.##...#...#...#....#.#.#...#.#.#...##..#.#.#....##....#...###....#...###..#..#...#.#..##..########.##.###.###...#.#..#....##..#..#..#.####......#.##...##.###...#..##.######.#.#.#.#..#..##.#.#....#.#.#.##.#..#.#...###..##.##...####..###...##...###...#..##...##.#......##.#...#.#..#######.##..##.#...#.#...#.#....##......##.##.#..##.###.#####.....##.###.#.#####..##...#.####.###.####.#.#.#######.######...####..#..#.#.#.###.#..########.##.###.#.#..#..#.##.###...#.#.....##.######.###.#.#.#.#.##..#.#.#..#.####.....#..#....#...#...#.##...#..##..####.#.#.#####.....##.####...##..#.#.####.##....#.#######..###.##.#.......####..##.#.#.##.###..##.#.#...##.#.#.....####.#..####.#..###..###..##.##.#####.###.###..#.....#.###.#..#..........#....##.###.....####.##.....##..##.##.#.####.#.#.#..###....###.#######.#.##.#..##..##.##..#.....###.####...#####.####....#.#..##.###...#.##..###.#..#..#.#.####.######.#..####..##...#.#.###...##.#.##.#########..##....####..#..####...#####..####.###.###.###..#....#.#####..###.#.#####.#..#..#.#.###...#.##...###.##.###..#...#..#.##.#..#..###..##....##.#.######...##.####.#.#..#.##..####...#.#.#.......####.##.#.#...###.#.###....##..#.#..#######....##..###...###.####.#..#......####..##.#.####.###......##.###..#.....#..#.##..#..#.##.#.#.##..#...###.##.##..##.#.###.##....####...#.##.....##...#.#..#.#.##....###.##.#....##.###.#......#....###...###..##......##......#..#....###....#.......##...###....#..##...###..#.....#..#####.##....#.#.#..#.#.#...#####.##.##.#######.###..#..##..#.#..##.#.#.#...#..####.##...##......#.#.#...##.###.#.##....###.##.#.....#....########....#.##.#.##..#.#..##....#.#.#..#...#####...###.#.##.....######.##..#.####..#.#...#.#####.#.###.##.
.##.##.#..#.#....#.##....#.#.#####.##....#..####.#..#.#.#####.#.###..#...###...#..#..#..###.##.###.####..#.#.#######.###.#####..#..#..#..#.#.#.###.##.#..##.##.......##..##.##..##.#.#..#....#....##.#....#.###...#...#.###.....#.....##..###..###....#...#..#..##.###..#.###.#####..##.###.#.#.....#...###...#...#..#...##........####..####...###.###.#####..###.##...####.####.......#..#..#.##..#.####.##.##.###..###.#......##.##.#.#....#.#.#..##......#.#..##..#.####.#..##.##.#.###...#.##...###.#.#.#..##.#####.#.#...#..##...#.##.##.#.#..#..##.#.#..#.#.#.##..#.....#....##.##..#..###.#.###.#.##..#..##..#.#.###.##.#...##.####.###..##.##########....#..##.#....##.#.##.##..##.##.#..##...#.....####.#..##.#####.#####..#...#####.##.##.#.##...##..##.##.##..#..#...#.#.....#.##..##.#.......#.#.#####.#.###..##.##..###.##.##........####.##..#..####..#.......####...##.###.###..#......#..###.####.#####..##.#.#.....#.####.#..#.##...###..#.......#.#.##.###..######.#......####.###.#.##.#.#.###..#...##..#..#.#..#.######..####.####..#.#..##......#..#.##...#..#.#.#.........####.#.##.#..####...#.#.##..#.....#.#...###....#......#.#.###....#.##.##.#####...###..#..#.....#...######.#.##.##..#..#...##..##....#...#.###.#.####...#.##..#.#..####..#.##..#..####.###.#..#.###.##...###.##.##.....##....##.#......###..#.#.#.#.#########...#######..##.#....#....#####..#.#.##.#.....#.#..####.#.######..#.#.#...##..#.#..#..#.##.###.#.#.##....#.......####..###.#....##.##.#.#......#..#.....###..#.....#####..#..##...##.#..#..##...#.#..#.#.#..###.#.#####......#..#..#....#....##.#...#.#...#####..######..####.##..###..#.#.###.#.##..#.#..##.#.#.####.###.######.##....###.##...#.#.....#...####.#.#.#.#.###.######.....####.##.###.#........#..##..#.##..######.#.###.#..##.####..##..####....##.#..#..#.##.#.######..##..###...##.#...###..##.##.#.....#.##..##.#..##.##.#.##.##.#..###.###....##.#...##.###.##.##..#...#.######....###.##.#....#.###.##.###..#.....##.#..#.##...##.#.###..#.#.#####.#.#.#..#..#.#..#.####.....#.#.#...#..##..#...
.....####.####.######.#.##.####........#...#####.#....#.##...###....###...##..#..#..###.##..#....#.##.....#..#.##.###...##.#..#..#.#.##..#####.###..#..##.##...#.#.#...#...#.#.##...#..#.###.#.###.##.#.#..#.##.###....##....#.###....####.###......##..#...####.#.#...##.#.##.....#.#.#.#.##.#.####.#..#..##....###.#.........#..#.##...##..##.########..####..#..####.#.#.#.#...##.##.####.#.##.#.#.#.#.#####..##...##.#..##.##.#.##..#.#.##..#####.#.#..##.##.###.#.#...#..#..#...##.##.##...##.###.####.#.####.#......####.#######.##....##..#...###.###.#.##.#.##...#.##.#.#..#.#..##.#.###.#####.#.#####...##.####..........#.###.#.....#..###.#.####.....#...#.##.##......####.##.###.#....##.#.#.###.#.##.#.#...#..##..####.##...##.....#..##.##..##.#..##........#.....##..#...##....##.#.#.#..#...##....#.#..##...#.##..#.#.###.##.#.#.##....##.##.#..#..#...###.....##.#...##.##.####...#.....#..#.##....#...##...#.##.#..###.####..#.....#..#.###......##.#.###.#...###.##.##...##..#.#.....#..###..#.#.###.#####.##.#######........#.#..###...#.#.##..#.##.####.###.##..#.###.#.##...#..#.###.####.##...##.#.##..#.#..####...##..#.####.###.#.#...#....##.##..###..####..#...##.#.#...##...###..####..###.......#.########.#..####...#######.#.#..#.#.#.#..###.####..####..###.#..###.........#..##..#.###.#.####....###..#.#...#.#...#..#...##.##..#..######.###.##.##########.....###.#.#..#....#.........##..#.#..#..###.....####.###.#..####...###.#####.##.##.#.##.###..##...###.##..##...#.###.#.####.#..#.#..##.##.##..##....#....##....##......#..######...#..########.#...####..#####..####....##......####.##..#.####.##....#.....##..#.###..##.#.##....#.####.#########....##....##.#.##.##.##.##.##.#.#..####.##.#..##.#..#...##.#.##...#..#..#..#.#.#..###..#.#..#...#.#..##...###.#.#.....###....####....##...#..#.#...#####..#.##......####.###.#.#...#..#..####...#....#.#..###..#.#.#....#...###...#.##...#.##..###.#.#..#.....#..##...##....####.#.##..##.##.#..#..###.#.######...####.######..#..##..##.##..##.##...#..#..###...##.#.##....##.##
#.#...###....##.....###..#.##.####...#..#..#.###..###......#...#####......#..####..#...#..##...#.....##.#..####..#...........#.####..##..#..#.##.#..###.#.....###..#..##.#.##...####.#..##..###..#..####..#.#.##.#.###.###.........#.#..#.#.#....#.##.####..#.#.#####..##..#..###.###...##.###.###..#.#.#....###...####...#####..#.#...##....##.##.#....##..#...#...#.#.##.#.#...#....#.#.##..#..##..##.##...##.#.##.....##...#.....#.##.#..##..#.#...###..#.##.#.###.#..#.##....#..#...#.#.##...###..#.##.#.##.#.#.#..#.##........####.#..#.....#....#...#.#.#.###..#.#....####.#.###....####........##..#..##.##.#..###.#.###.##..#.#.#..###...#.###..#.###.##....###.#..###..###..#...####.#.###.##.#..#.....#....#.#..#..#...###.#.#.##...#.##...#....#.#.###.##.###.###.##..#.#.#.##.#..#.#.###.##..##..#...####.##.#.#.###.##.###...##.###.....##.#.#####..#.####.##.#.#####.#...#...#....#.###.##.##..#.##..#.##..#..##.......##.#.##..#.#..........##..#.#.##..#.####...#.#.#...#.#.#.####.#..#.#.####.....#.###........###.#########.######.##.########....##..#....####.....#..#.##.#.######.#...#..#..##.#.#.#..#..####..#.#..#..#.##..#..#..#...#..#..##..#...####.#..#..#.#.##.#.####...#....###.....###.....#.##..###.##..#......##...#.###.#####..##....###.#.#.#.#.####..##...#..#.###...#.###..#.####.#...###..####..###.#.###...##..####.#.#..####..##..#.##.#.#########..#####..#...###....#.#.#..##.#.##..###...#.###.######...#####.#.#.#....######.##.###.###.##.#......#...###..#.#.....####.##.#.#.##...#.#.#.#.......#.#..#.#..#.#.##.#..###.########.#.##..####.######......##..#####...######.#...##....###...#....#.#..##.#...##...###.....#..#..#.#..####.#.####....#.##.##.###.......#.##...##.###......#.#.##.....###...#.######..#.####.#..#..#.##.#.#..###.#.#.#...#..#####.#.#...##.#.#..#.#....##.#.#..#..###.....#....#.###.#.#.##.######..##.#.#.#.###.##.#.#.....#.##.###.#.##.##...######...#####..##.#..#.#.#...#......####..#.#.##.######.#..##......###....##..#.#..#.#..##.#..#.######.#..###....###...#####..#..#.####.##.######.#..
#####..##.#.##.##.#.#..###..#.#.####.##...##.#........#..#...#####.#####...#.#####..#.#...#.##.#.##.###....#.#..#...##.#.#...###.#..##..###....##.#####.#.#.#.###......#..#....#.#..####..#.####.#..##..##.#..#.###..#..#..#####.##..#.###...#.###.##.##..##.#...#.#...###.#.#.#########..##..###.#.##.#...##...###...##..#..####....####.##.##.##..#.##.##......####......####...#######.###..#...##..###..###.###....####....#..#...#.#.##.#.##...#.#.#..#.#..#..###...#.##.##.#....#.##...#...#..####.#######..#.....###.###.#.###..#...###.###.....#...###.###.####.#.#..#..#.#####.....###.##.##..##...#.#..##...#..##.####.#######..#...#.##...##..##...####..######.##.##...#...#..#..#.#..#..##...#...##...##.#.#...####..##..##.#...##.##.#....#..###.......###..#######..###..#..####.#..#.#..#....#.#..#....####.###...###..##.########.##.####.###...#...#.#..##..##..#.#......###.#.###..#.#####....#.#.#######..#.#..####.#..#.####....#.#..##.####.#.###.#####.#.#...#....###.###.####....##.#.....##.###.##.#####..#.####.##....#.##.#.####.#.####...#..#.###....###...#....###..##.##.#...#...#....###.##..#######.#..###...##.#####.##.#...#.###.##..#############.#.##...#.###.#..#..#..#...#.#.#.##.#..##.....#...#.#...#..#......#.............#.##...#.##.#..#.##.#...##...###.##.#.#.###.#.###.....###.#.#.#...########..###..#.#.....#.#.##.#...#..####...#.##....###.#..#.###.#############.#..#.##.####.....##.####......##..###.####..##....####....###..###..#####.##...#.#.#..#..#..##...###.#..#.##..##...##...#.###........#....#####..#.##...#####.#..#.#..##.....#..#..##..#..###..##.#...#.###.#.....##.....####..####..##.#.#.##.###..##..##......##.##.#.#..###....#...##.########..##.##.##.###.##...###...#.###..###....#.#.#.#...#.#..#.###.#.###.##.#....##..#..#..##..##.#######....#####.....##..#..#..###.#.#####...#..#....#.#...##..##.##..##..####........##....####.####.##..#..#....#######.......#...#.##..#.#....######..#...#...#.#.##.#....#..###....#..#.####.#.......#....##.#.#.#.#....#.#.#.#####.##...#.###..##.#.###..
#.#...####.#.##.#.##.##.#.#...#.#.##..##.#...#..##.###.##..#.##....##..#....##.##...###..##...##.###.##.#######..######...##.#..###.##..##......#..#....#...#....##...#...#........#.#.#....#.##....##.............##.#.##.#.##..#####...#.###.##..##.##..##..#..#.......###..#..#.#..##....##..##.#.#....#.#...#####..###..##.###...####.#..#...#.....#.##.#.#..##..##....##.........#..####.##.#..##..##.....#.#.##.##..##..##.#...#...###...##..##..#.##.##.#.#..#.##...#..###..#.##...#.#.#.#...######.##.###..#..#..##..####.##.#..#.#..#.#####..###.##.#..#.##...###..##..#.......#.##.##.###.....#..#..###..#.#.#...##.#####.####.####.#....###.#.###.##..#.....##.##.#....##....####.#...#.####.....##..##.#..#.##..#...##..#..##...#.#.#.#....#..########.#.###...#..#...##...##.###..###.#.#.#.##.#..#..#.##.#.....##.......#...#.#.#..###......#####.####.#...####.#.#####.#.###..#.##.#...#......#...##..#...###.##..##.....#..###..#..#....###.#....#..##.#.#.##.##.#.#.....#.#...#.###.#..#.###.#.#..#.#.####.##..####.##...#.#..##.##...#.#.#.#.########...#.##.#.#.#####..#.#.....###.#####.##.#..#.####.####..##.##.#######.######...##.##.....#.#.#.......#.#..#.##.#.##..#..####.##.#####....#...##.#.##.###.....#.#.#.#.#.#....####...###...##..#.###...###.####.....####.#..#....##.....#.##.##.###.########.#.#..#..###......##.##..##...##.###.#.#...#.##.##.....####.##.#.##.##.###.#.#..#######.###.#.###.###.....#..###.#...#.##.###.#...#..#......##.##..###..####...####..#.#.#....##..#....###.##.#..#..##....##.#.#.###.#......#...###.....####.#......#...##..##.#.#.##.##.#..###.#####..#.###.##..#..##.##.###..###..####.##.#.#...#.#.#..#.##...#...#..###.####..#.#...######.##..#.##..#...#.###..##.###.#......########...##..#..##...#...#.#.#.#......##..#..##...##.#.....###.#.#.####.####.#.##..#.#...#..#.#.#.#....####....##.#.#.##.#.########.##...##.#.#.#.#.###.##...#...#.##.##...####.###..###.##.##.##.##.#..#..##..###.##.##...#####...####.###..####.#..##..##..##.#..##...#......#.#....##.#.#...#....###.##.##.#.###..##...#.
...#.#.###.####.####.#..#..###.###.#..#######.#...##.#...##...#..#..#..#####.#.###..#.###...#.#.#...#...##.###....##..#.#....#....#.#.#..#.....####.....#.#.#####...###.#..#..##...#...#.##.#####.###.#...#...#..##.##..#....#.####.#.#...#..###......##.##...#.#.#...##..####..###.##.#.#.#.####..###.##.#####..#......###.#..##...##.##..##..####..##..#.#####..##..##.##..#.....#.#.##..##.#.###.##.#####..#.#....#..#..##.#.####...#......##.#....#.#.##...####...##..###...#.##...#..#.#...#.#...#..#..######.####...#.#...###..#.##...######.#....##...#####.#.#..#.##...#####.#.#..#...#...#.#.#..#..#.#..##..#...#.######..#.##.###.#....#.#####..##...####.####.#.####..#..#####.#..#.#.#.##..#...###.###...##.#...###.####..#...#.#.#.....#...#.##..##.#..###..#..#####.#..#.##..##.####.#...#.##..#.#.....#.....###...#.#.###....##.#.#.#..##.###.##....#.#..##..####.##.#.#....#.##..#.##.##.##.##....##.##.#...######.#..##...#.####.#........#.###....#.#.####....####.#..###...##.#.##.##.#..#....###.#.##...##...#.###.####..#.#.##.##..###.#######.#.#..#..#.#..#..#...##..#.##..#.#....###.####..#.#####.#...#.#...#.....####.#.#.#.#.#.#.##..#.#.#.##.##.#...#...###.#.#.#...###.#..#.........#####........#.##..#.##....#..#.#.#.##.#.##.##.#.#....#..#.#####......#..##....#..####.#.#.#####.##..###..#..#.###.#..##...#...#.#.#....#.##....#####.#.##..##.#...####....##.#.##.#######..##.#.###..######..#...#.#.##..###....#.....##....##.#..#...#####.#..#...##....###....#...#.#.#.#....##.#####.#........#####.#.....##....##..#...###..##.###.#..........#..#..#..##.#...##..##.#.#..#.###.####..##....#.#....#..#.#.##.####......####.#######.######..#....###..###..##.#.###.##..#.##...#.#.##....####.##........##....####.###.#..##.##.##.#...#..#..#.....##..###...####.#...#####.#####..#...###.#.#..##.#.###...##.###.#..#.##..##.#..#####.###..#.#.##....###.#.##.#.##....#.########..#.##..#..#.###.#....###.#.#..#..##.#.##..#..#.#..##.#.##....#.##.#..#.#...#.#.##..##..###..#.###.##.#.##..##..#..#.#####..##.#.#...##..#.....##..#..###
..#.##...####..#..###..##..###.#...####.####.#..#.##.##..#..##...###...#.#......##.#.##..###.#...#.#....#####....##.###..###.#..#....##.###.###.#.###.#.#....##.....###..###.#.#.....#....####...####...#####..##....#####.##..###..##.##.##.##...###.#..######.##.#.###...##.#...##.#.##...###...##.#.#.#...#..###.....###.....##.##.##..#####..####.#..##....#.#.....###...###############...#.########.#....#..#####..#.###.#...#.##..##.#...####..#..###..##..#..###...###.#.#.#..#...#.##.#.#.####..#.#..###.#..##..##.#######..##.#.....#..##.#.#.#.#.#.......##..#.#....#..####.#####.#.###.#.#.#.#.####....###.#.#.#.###..##.#.#.##.#......###...#......#.#####.######.#...#.#.#.##...##.##########...#..##.#.###..###.##...#...#.#..#....###.#.#.##.##.#...#..#....#.#.#.##...###..#...#..#.....##..##..##.#.#.#.##.##.###.###.#.#####.##...##..##..##.#.......#...#.##..#..#.#.....#...#.###.#...##.#.......###...###.#.#.#.....#.#.##..####.....#.#..#.#....#.....##.#####.#.......#....#.#..#..###..#......#..#.#.##..##..#.##.#.#..###..####.###.#..#...####....##.###..##.....#.##.#..#.##.##.#.###..##.####..#..#.#..#.#...#.##.#.##..###...#..####.#..#.###..#....#.##.#.###..###.#....##.###...####.#.#.#..##..#####.####.##..###..#.####...##....##.##.#.##...#.###.#..#...##.#...##..#.##.#####.##...#.#..#........#.#.#...##....#.##.#....#..####.#....#...#.#..#.######......#...####.###.##......#.#..##..#....######..#.#.#.#..##.###.##...#..#####.##...######.....####..##....####...######...##..#..##.#.#.###.##.#.##.#.....#.#.#.##...##.#.##.#.####..#...#.#.##.####..#.#..##....##.##....#.###..#....###.#...#.##..#..#....#...#####...#.#....#...#.....#.###.##.##.####..##.##.##.##.###...#..#.##..#.###.##..###......##.....#.###.#.###.#..#.####.########.###..##..##..##....###.##.##.#..#..##..#.##.##.#.#..#..#.#.##....#..#.#..#.####.#.#..##.#...#...##.#..#..#..##.#...##..#.#.##.#.###..#..#..#..###..#..#..#.##.#####....#.##.#.#######.##..#.#########.#.#.##.#.#...##.#.####.#.####.#..########..#.....#.##.....##..####....######.#
###..###.#.######......####.#####...###..###.##..#.#.###.#.##..######..#####.......#.##...#...#.#.#.#..##.#.###.##....#####.#.#.#..#..#####.#.###.##.#####..###.#.#.....#.....#..##.###..#..#...##.##..###..#.####.......###..#..####.#...#.#####.....#.#.##.#######.#..###..#.#.#.######......#.#.#....####.##...#..####.#.#..#..#.###..#.....####.#.###..#.##.#.....#....#####.###.#.####...#.###.#.##..#..##.#...##.###.#..#...#.####...##..#...#.#......###.#.#.#...##...####..###..##..##....##.......##..###.###..##.##..#.##..#..#....##.#..##.###.####...#.#.#..#.#..#....##.###.###..#..######.#####..#.##.###...########.#.....#..#.##..#.###..##..#...#.#.##..######.##.#.####.#..##..##.#.####.#.#.#.....##.#..###...####.##..#....#..#.#.#..##.......#.###.#.####.###....#.#.###..#.####.#.##.#..#####....##.##.###..##.#...#..#.####.###.#.#.##.#.#####.#.##...##.#..#...######.##.#.###.###.#..#.#.#.#######.#.##.#......#.##......##...#..######.##.#...#..##.###.#.#...####.##......#..#..#.#.#.###..#..####....###.#..##.#..##...##.#...#..#.###..#..##..###..#.#....###.#....#.#..#.#..#.#.##..##.#...##.###..#.##....#.#..#.##...#...##.##.##..#.#######.#.####.###...##...##...#.#..####....##...##.###.######.###...####..#.###....#.##.#...####.#..#####..#..#####.##.##..#.##..#..###..##..####.####..##..#.###..#.####.##..#.#######..##..##.#...##.#....#.....####.###..#.##.##..#.##.....#.###.###..##.....#..#......##.###.####.#.#.....##.##....#.....######.##..#..#.##...###....#.###...#..######...###...##.#.#####.....##..######.#..#.#.......####.#.....#.#.#.##.#########.#..##.....#..###.#.#.#.##..##..#..##..#.#..######..##...##...##....#..##..#...#..#.##.####...#.#....#########.###..###...#.....#.###.#.##...##..#.###..#....#.###..##.##..##.######.##.##.#.......##..##.#..##..#..##....#.##..####....####....##.###.#.#.#.####..##...#.####.#..#..#..#.#.##.#...#..#....#.##.#.#....#........###.....##....####..#...#....###..####....##.#..##.########...#..##..#..##..###.#####..#..##.####.#.........##.#..###...#.....#.#..
###..##.#.#......##...##.###.###....##...#.#.###.#.#..##..####..##.#...##...#....##...##.#...##.##.....##.###..#####.#.#....####..##...####.######.#####.##.##.....#.....#.#.....#.......#..##......#.##.#.##.##...#.....##..######..#.#..##.#..######...#..##..#...#####.#.##...#.##.##..#...#.##..##.#...###.#..#..####.##..#####..#####...#.....#..###..#.##....#.#....###.#.##...#..#...####..##..#.##.###.###..##....#....#..#.#.....#####....#.......#.#####.#..#.#..#.#.#..##....###...#.##.#.#.#.#..###.....###.####.#.#.##..##.#...##.##.###.#.##...#.#........##..#....#..##..##...#.#####...##.#..#..#..##.##.#..#.#..#.#...###.###..##.....#.#.#.#######..#..#.#.#....#.#.#...###....###..##.##.#.###.....#.#...#.##..#.#.###.###.##.##..#...#.#..##.##.#.#.#.###..###..#.#...........##.###...###.####..##.....#######...#...#.#..#.#.#.##..#..#..#.##....#.#.####..###.##..##.#...##.####.#..#...#.##.##.#..###.####.##..##.####..#..#.#...###...#...##....#.....####..####.#######.#.##.##.#.#....#...#.##.###.#.##....#....#.....##..##....#..####....######..#####..#.#.#.#..###..######..###....#.#..###.###..#.#.#..#####.##.#.##.#.#.#...#..##..#.##..##...###.#..#.#.#...#..####..##......#..##..##.#####..#.##...#.##....###.#..#.#.#....##...#....##...###....##.#.#..##.##..#.######.#...##..#####.##.#..##..###..##..#..#.#..#.....####..#...#..#...#.##.####...#.#.###.#.#.#..###...#.##.#.##.#......#......#####...####.#..##.....#....##...#.###.###..######.#####..#.#.....#.###..#...##....#..#.....#..#...#..#.#..#.#..#....##..###..###.#....###...#.#####....####.#.#..#....#####.#...#.#.#.##...#.##.##.......###...#....##..#..##.##.###....#.###..#...##..######....##.#.#...##...#...####.#.##.#####.##.##.#..#.##.###..####.#..##.#####.#####...#..#.#.#####...####..#.####.#.#...###..#...##..#.##...##...##..#...##.###.##.#...###.########.#..####.######..##.##..#.##..#...#...##.#..#.##....##.#..###...#.#..##...##.###....###...#.#######....#########.#...###....#####.#.#.#####..#.#.###......#..#.#.##..#.###.##...####.#.##..#.
##...#...##..########..#....#..##.###..##...###.#.###...##.####...#.#.#..#.....####.#..##..##.....#..##.#.#...#....##..#.##..##..#####..###.#.#.#.###.#..##.####.#.#####....#...####....#.##...##....##.....###..##...##.###...##..###..###..##..###.#..####..#.##...##.##....#......#..####..#.##.##.#.###..#...###.#.##.#.#..####.#####..###..###.###..#######.##.#.#..##....#..#...##.#.......##.########.##.##.........#..###.#.###.#.####.......#.....###.##.#.##...#..##...#######.#...#.#.######.##......####.###...#.##.##......#.##...#.#.#.##.#.#.##.##.#.#.##.....##.#.#.#..##.#..######..####.#.##.##..####..#.#.##.#.#.#.##########.##...##..###.####..########.##.#######.###...#...##.#.#..##.#####.##.##.#.#####....#..##..#.########.##.####..#..###.##.#.....###.#...#.#.##..#.##..#.#.....#.##.......#..#.#..##.#..####...##..###..###.#.###...####.#........#####.##..#.##...##.#.#..........##...###..#.#.##...#..#..........##...#.#.#...#.##.#.#.##..##..#...###....#####.#.##..##.##.#..#.###..##.#..##...##......######.####.#...........#..##....#.#####...#....######..##.....###.######.#.#..#.....##.#.#.#..#.....##.###.......##.##.#####.....#...#..##..###..#.##.....#.#.#.....##...###.###.###..#.##.##.#...#..#.#.#.####..#......###..##...#.#...#..######.#..###.#.#.......###....##..####...######.#.#.#.#...#..#.....##.#.#..##...##.#.........###..#####.#.#.##.##.##.##..#####...###.###.##.##.###.#.#.#.......#.....#.#..###...#.#.##......##.#.#..#.##.#..#..###..#...#...###..##....#.#...#..##..#.##.#.#....####...#####.##.#..##..#.##.....####..#.#..#.#.#...##.###.#..###.#.##...#..#.###...#...#........##......#.#####.#.#..###..#.#..###.###.#...##..#.##.##.#.#..###..##..##....###....#..#.###..#.##.###.##.#.##...###..#.##..#.##..##.#.#.#.##.###..#.#..#.#.#.#....####.#####....#....##..#.#.###.....#..##.##.###.#...###..#..##.#....####.#..#..#####.#.###..###......####.###.#####.#####..##.#.#.###...##..#..##..###.##.#.##..###.....#..#...#.##...#.#.###.###..###.#.#...########..#..###.#.......##.#.#.#..#....##.
###.#.##...##......#.###..#####.##....######...##.##.###..#####...###.##.#.....#.#....####....#.##..#..#..#.##....#..####.##..#..#.###...#.##..##.###.###...##..###...#..##.####...#.####.##..#..#..#.#.##........##.#.##.##...#......#..##.##...####.#.#.####.......#.#.#...#.##...###.#.#...##.#...##.#.###...###.##.##.#######..##.#...#..##..##..##.##..#.....###..##.##...#.#....##..##..####.####..#..#.##..#......#.##...#....##..###.###...##..#.#....#..##..###......#...#.#####.#.###..#.##.#..#..###.#...#.########.###..#.###...###....#..##...#..##.#...#..#..##..#######...#.#..#.#.##.##.#..###.#.#.#.#.##.#.##.#..##..#.####.#.#.##.#####......#.#.####....##...#######.#.####..#..######..##.######..###...#...#####.#..#.#.##.##...###......###.##.##..##..#.#....#..####.#..#.###.####..#.#.#......##.###...#...###.#.##.#..##.#....###.##.#.#.#.#.#..#.##..##.#...###..#.##..###.#..#.##..#.##.#......###.###.#.#...#.#.##..###..####.#.#.......##.##.....#...##.##.#######..#.#.#....##.#..#.##....##..##..###.#..##.#...###.####...#.#....#.###.#.#.#.#.####..##..####.###..#.#.####.########....##.#.#.#.##.##..#.######.###.#.#..#.########.####.#.####.#..#.###.#..#..##..#...##..#..##.#.#.#.#.##..#.#..######.##.....##..##..#.#..###.......#..#.###....####..#.###..#.#...######...#.#####......###..####.#...##.####.#.###.##.#.###.####..##..#.#.#.#..##.#..##.#.###.#.####.#.#...#..#.##...####.##.#...#..#.#...##.#.#...##.....#...##.####...#........###...##..####.##..###.#..#.#.##....###....####...###..##..#...###.#.##...#.#......#########.####..#.#.##.##.##.....####...#####...#.###...####.##.....#..#.#..##.##.....##..#....######..#..#.#..#.#.##.......##.#.#.##.##.#.#.#.#...##.......#..##.#.#.####....#..#....#.#......##.##.####...#.##.###....#.#.#.##.#..###.#..###.##..#.##.#.###.#.#.##.#.####.##.####.#..##..#.#.#...####..##..##....#.##..#.#........##.#.##.#####.#.#.##..##.#####.##.......####...#.#..###.###.#.#.#.#.#.#.#.###.#...##...#.#.#...#.##..####.##.#..##.####.#..#..##..#.#..#######..####.##...###...###
##..#.#.#.#..#...#...#..#####.##......##..#.#..#........####.#.#.#..##......##...##.###..#.##.#.#.#.#..#....##..###..#.#.#.#..####....#.....##.#.##...#..#..#.#.#.####..#..##..###...##.###.#.#####..#...########.##....#..#.#.###.#..####.#.#.##..#.#.#..#.###..######..##......##.......#.#.#.#...#..#..#.....##......#.##.###...#..#.#..#.#.##.###....##..##....#..#.#.#....#.###.###.#...##.####..####.#.#.#..#.....##.##..##.#...#.#..#..#.....#####.##..###...#...####.##...####.#.##.###....##....#.######...###.#...#.##...##...####........#.##.#...#.##.####.#.#...###.##.#.##.##...##......#....#.###...#.###.#######..#.###...###..####.....##...#.#####..##...#..##...#..#..##...###.......#..#.#####.##.##.....##.....##..#...###...####..#...#...........#....#.#######..#.#.###.####..###..#.....##.#..#.##...#.#..####.###..##.#.####.###.#.#.#######.#.##.......######.###.##.##.....###.#.######...###......##.#...##..##.......####..#.#.##.####....##...####.#.....##.##.#...#.##...#........###.#...#.#..##...##.#.###.##.#.###..#...##..######.####.#.##..#..##..###.####.#..##.....######..#..###.#..##.##.##.#####..###.....##..#..#...#..#...##.##.#.#.##.#...##.###..#.#.##.....#.#.###.#.##...#......#...#.##.#.#.#.#.###....##.#...#...##.#...###...#.####..#.......#.##.#.#..#..##..#.##...#.#.....#.###..##.....##...#.##..##.#..##.#.##...##.###.....#..###...#.#.##.#.#..#.#.#..#.##..####.###.#.....###...##..##..##.##.###...##.#.###...#.#.....#..###.###..##......####.##.#.###.#..#.####..#..####..###.#...##.#.##.#....#..#..#.#.#..###.#..#..##..######.###...#....#.######.####...#####.##.#.##.#.##..###.###.....#......##.....####.####.#####.....#.###.#.##.###..##....#.##.......#..##.#..##.#..####....####.###...#.#..#.##..###.#..##..##...#..##.#..##.#..##..#..#...#..#.#.#.#...#..##..###..#.#.##....########..####..#.###...#.#..##....##.#.....#.######..##..#####.#.#...#..##.##...#.#.##.###.#....#...##.#..##.##.###.#..#.#..###.###......#.....#####.##........######...##.#..##.#.###.#.#.##..###....#.###.#..#.##.#..
####..##.#.##.###.###.#.#....#....#.####.#..#.#####....#.##.#.####..##..#.......###......#.....##....##.##..#.###.##.#.#..##..#.#####.##.###..##.#..###...#.###.#....#...##..#..##.###.#.###..####.#.##....#...##..###.###.##.#...###..##.###.#.#.##..#.#..##.###.#.#######..#.##.###...##.####...###.###.##.#.#.##.#.#.#.####....#..###.###..####..#.#..#..#.##.#.##...##.##.#.#.##...######.##...#.#.#.###.#...##.#....#...###....###..##......##.#....##......#.#.#.#.###...###...####.#####.####..##......#..#.#.##...##.####.####.###.#..#.#..##.##.#..#.##.......###.###.#.....#..####...###.###.#..####..#..###..##...##.#.#.###...#.##..####.##...#...##.#..##....#.....##..#...#..#....#..##....###....#..#..#...#...#..##..#..###.#......##...#.....##......#.#.#..##.#...#.#.###.#.#####..#..#..###.#.....######..#.#.#.###.####.#.#.#....##.###.###.#...#.....#...##.###...#...#.###..#.##..##.#..##..#.##..#.....#.##...##..###....##.#.#...#..##.##..#..##..#.......####.#...###.####.#.#...#.##...####.##.#..#..#..#.##..###...####.###..#.....###.####.#.#.....####.#.....##..#.#####.####.##..#..#######.#..#######.##.##.#...#..#.#.#.#....#..#..###..###.######.#..#.#..####.###..###..#.##.#.....#.###..###....####.##.#..#.#..#.#.#....##.###..#..#.#####.##.#..............#.#...###.........#.###............#..#...##.#.###....#####...##..#.#.#.####.##.#..#.#.#...#....##.#...#...####.#...##..##..###....#..##...#..###.#######..###...##...###......#..#..##.####.#..#.##...#.####....#.##.#.###..###..##.#######..#.##..##..##....###...##.#.#........#....#.#.........#.#..##.#.###..#.##...##....##.#..###..#.##..#.....######.####.##.#..##.#...###.#.#####....####.#..#.##..#.##...#.#.######...#.#.#.#.#.###......#.##.#..#..##.#..##..#.##.###.#.##...#.#...##......#####...#....##.##..#......##.##..##.#...#.#...####.###.....##.##.#.##.##..##...##..##..##..######..##....#.##..###.##.##.......#.#..#...##.#..#..#.####.#....##...#..##.#....##.....####...#.#.##.##.#.#..##.##.###..#...#....###.###.##..###...#.####..#...###...#.##..
..#..#...#####.######..###.##...#.##..#..#....#.#.#..#..#####.#.......####..#..#.#..#.##...##...#..##..#####...###.#.#..##..###..###.....#.###.###...##.#.#..#....##.......##.####..##...#..#...##.#..#####.###.#..###.#.###.###..##.#..#.....##..#.##.#.....#.###..##...#..##..##.#..##.##...##...##.##..##...#####..#.#..#.###.#.#.#..#....##...##...###.##..#.##.#...#.#.####.#.######..#.#...#..####..#...##..###.##.####.#...#.#....#.#....#...#.##..#.##...####.#####.##.#.#......####..#.##.##.......#.###.#..#..#.......#.#.##...#.....###....#..#....##.#..#.#.###...#.##...#.###.#.#.#.##.##.##..##..#####..##.#...#.###..###...#..#.###.#..##.##..#....###..###....##..##....#..#.##.#.#.##...#.##.#.##..#.###...#.###..###..###.#.##...#..#.#.#..###.###.##..##..##.###..#..###.#..#...#.##..#..###.#######.###.##.#####.##..#.###.##.#..###..#....##....###..#..#..#....##.#.###.###.#.#.#.#...#.#.....#.#.#...#...###...#.##.#...##.....#.#...##...#.#.#..#########.#..###.####..###.###..#..####.#..##.###..###..#..##...#.#...##...##.#.#.............##.##.#..#.###.#.##...#####.#.#.#.##.###.#.#######...####..#.#...#.###..##..#.###...#.###.#..#.####.......##.#.##.#.#####.#.#..#.#...#.#####.##.##.###.##....##..#....#.##...#..###.#.#.#########.#..#.###...###.##.##.#.##..###.#.##...#.#.#.#.#..##..####..#...##.#....##...####....##.###.#..#.....#.#.##..#.##...#..#..#.###..#..#####....#...##.###..#####.#.#.#.....####.#.##.##..#..########...#.....#....#####..#####..##....##.##.#...#....#...###...####....####......#....##.#.#..#.###.####....##..#..#.##..#....##..#.######.#.##.####..##..#......####.##..##.##..#......#.....##..##..#.##...####..#.#...###.#.##.##...#...#..#...#.#..###.#.###..####..#.##.#.##..###.....#.###..###...##...##.#....##.#....#.#.#.#######..#.#.#.#..##...##.#.#.#...##.##..#.##...###.##.#.########...#..#..###.##.#...####...#....##.#..#....#..#####..###.#..########...####.##...#.#...#...#.###.#.##.#..#.#..###..##..#.........##.#.####.#.##..#.#..#...#.##.##.#.#.#...#......#...####..##.#...##.##
#.#..#..#.#.......#####.....###.##.###.#....#.###..###.##.#..##...#.#..###.#..###..#.#.#......##.#.#.#.#.#.#.#..#.#...###.##...##.#.##.#..##.###.#..##...####.####.##.#.####..#####..#.#.##..###..#..##...#......#.#...##.#.......#.#...###.#..#.##.###...#.#..#...##.##.....#####..##.##.#.##.##...#.##...###......##.#....##.#.##.##.###.....#..###.####..#...##.###.#.####.##.#.#.##.#..#.#...#######...#.###.#..########.#......###.#..##..###..###.###.##.##.###...#...#..#.#..#####.#.#.###..#.#......#.###..#.#....##.#.#..##......#####..#.#.#.##.###..#.#.###.##...#####.#.#.#...##...###..#.##..#.###.#.##...#.##.#....#..#.#.#####..##...#...#...#.#...#...#....####..#..#........##.#.##.##.#..#.#..#..#.##.##.##.##..##..#...###...#.....#....#....###.#.##.#.###..#.....#..##.#...#..#..###.#####.##..#.#..####.#.#..#.####..#.#.....#####..##.#..##....#.###.##.#..##.##..####.##.#.##.##.#.#...###..#.#.#...##....#.#.##..#....#.#.#.#####.#...#......#.....#..#.#.###..#.#...#....#.#..####.#..##.##..##...##..###..#...#.##.#.##..#.#.#.#...#.##.#.####.#.###....##.#...##..#..#.#......#.....##...###..#.##.#..####.##.##.####.####.#..##..##..##.....#.#.........##.######..##...####..###.#.#..#####.#.##..#.#..#..##.#.#.#..#..##.###....####.###...##.##.#.#.#...#...#..######....#.....#...#####.#........###.#.#.#...#..########.#######......##.#.##.#####..#####.##.####..#..#.#..####.##...###.########....#####...#.#...#..#.##.##...###..#...##.#..##..#.#..#.#..#.#.#..##.####.#..##.#....######..#..###.#...#...#.##..##..#..#.#..##....###..#.####..#####.....###...#.###...#.#......#..#####..##.#.###.#...##.#.####....##...#...###.......##..#.#..####..#####.#...#.#.#...#.#.#.##..#.##...#.#.###.##.#.#..####.###....###..#.###..##..#...#.###...#..#.#..#.#...#..##.#.##.####..#..#.##.#.#.#.#.##..#..#.###..#.#####.###.#.#..##.#.#...#.##..##.#.###..#.#..##.##.#....###....##.#.#..##.##.##..#######.##.#...####.##.##..####.###.#####.#.#.##..####.########.#.#..###.#.##.####.####.###..#..#..#.##....##...#....#....#.#..##.###..#.
.#.#####..##....#.#....##.#....#.#.##.###....#.#..##.#..#.#..##.##.##..#..##.#.#..#....#.#...##....##.#..###..###.#####.#.#..#...##.###..###...........#.####.#..#.#.#....###.#.#.###.##.###..#.#....###..#...#.#..###.#...#.####..###.####..#.#.#.#..#.#.######..####...##.###..#..##.#.###..####....#....#......#...##.#.#....#..#.##..#####....####..##......#####.#...#.....#.#..#..###..#..#.#.#..#.##.###.###.##.###..###.#...########...#..#..##..##.#..#..#..#..###.###.....###.##.......#..#.###.#.#...##...######..##.#....##.....#####..#.#...###.##.#..####..#.#.#..#...#..###.#..#.......#.#..#.#..#...###..####.#..##.....####....#........#....#.#..#......#####..####.....#..########...#.#####.#.##.#.###..#.##.######...#.#.##.##.#...##...#.#.#.##.#..#.##...####...#.#....#.##.####.#....#.#..##..#.#.####.###...#..##....##..###....#.###..#..#####...#..######.#..####.##..#.###.##...##......####..##....#.....##.#.#..########.###......#..#.###.###...###.#.##.#...........##.##.#.#.###..#.#...##.#.#.#..#.##.##..##.#.######...###...#.#..##..###.####..#####.......##..#.###.........#.###.###..#.###..#.#.....##.#..#.#..##..###..#.#.#.#.#.....########..#.#####..##.#..###........#.##.##.#...##..##..#..#..#....###.###..#.####..#..........###...#.#..#.#..####...##.#.##.###.#.#.#..#.#..#####.#..#....#.#..###.######.###.###.#.##..#.#.#.#...#..##.###.#.#.###.....##.#.#...####.#.######.###.##.#.#######.#.#...#...##.##...##.....#..##...##..#####.##..####.###.##.#...##........#..###..###..#..#...##.#.##...#.#...#..##.##....#####...#..#.#.##..###..#..#...#..####....#.######....##..##.#.#..#..##...#.#.#...####.#..#...#.#..##.####.##.....###.#.#.#..#.##..#.#.##......#.##.#..#.##..##.###..#....##.#.#.##.####..#####...#.#.###..##..##.#.######.###.#.####.#####.##......###.#.##...###.##.#...###...####.#...##...###.#....#..##.......#.####.##.#.###.###..###..#.##..##..#.#.#..#####..###..#....#.#.#..#.#..#.#...#..#######....###..####.#.#.#.#...##.##..##..##.#.##.....#..##..####.#..#..###.#..#.....###..##..###...
##....####.##.#.#..###.##........###.##.##.#....####....#.#.##.##.##...#.##...##..####.....######.##.##..#..#..###..#.#.#####..###.#.###..##...##...#..#......#..........###...###.###....#..##.#.##.#...#.#.##..##..###.#..##.#...#.#...##.#.###..#.#.######.###.##.#..#.#.##.##.##.##......#.#...#......#.#......##..#..###.#.#....##...#..#..#........#.#..#####.#..#..###..#######.####....#.###...#...#.#...##.#.###......#####.##.#####.##.#.#.##.#.##..##.#.###.#.#.....#.###....#..#.##.#.###..###.#..###.#.#..#####..###.#.#.#....##.#.##...###.#####..##...##.#.####....#..#...#####...#..#..##.#.###.#####..########....##..#.#..###.#.####..#.#....##.#.#.##.#..#.##...#########..#.#..#.#........#.#.#...##...##.##..#.#..#######.###.#...#.#..###......#..#.###..#####..##..#.##....######...#.#.#....#.#.#...#..##.#....#.#..#..#.#..#######...####...##.#.#.#.##.####...#.##..#..#####..##..#...#####.#..#####.###.#.##..###.#.##..###...#.#....##..##.#.####......##.##..#.#.#....#..##..##...#####..########...#.####....###.#.###...###..#..#...#.####.#.#...#...#.###.#.#....#..#....####.#.#.###....###.##..#..##.###.#.##..#..#..###.####.#....##...##.....##....##..#.#.#.##..#.#...###...########..#.##....#.#.....###.#.#..#...##.##.....#.#.#..#..#.....#..##.#...#..####..##.#..#....#..##..########.##.####.#..#...#..##.##.##..#..#.#....##.#........##..######.###.....##.#..###..##...##.#.###.##..#.##.##..#.#...#...##..####..##.##.#.##..#.######.#.#....#.#....#.....#.....#.#..#####...##..###.####.##.#....#..#..#.#.##..##.#.#.###.....##.#....#..##.#.##.#.#..##..##.##.#...#..##.#.##.#...#..#.##..##.#...##.##.###..#...#..#..##..#....##.####.###.##.#..###..##.#.##..####...#...#####...#.###.#...#.######.#...##..#.##....##..##..##.#.#.#.###...........##..#..#..#.###...###...#....#..#.###.#..#.####.#......##....###..#..#...##.....#.#.##..###..#.##..#...#####...#..####...##.####..#####..#.#........##..####.##.##.##.##.#####.#.#.#.#..#.#.#####.###.#...##..#.####.####..#.#.##.####....#.#######.#..####.##.#.#.####..#.
##.#.####.#..#.##..#.#.###..#....#.#####..##...#####.##..#.#...###############..#..#.#..##.#.....#.#..#.#..#.##...##..###.###.###.###..#.#.#.#.##..#.######.####.#..##.......#..###..#.####...##.#....###..#.#..###.####.#..###.#.##..#.##.##.###.#..###.#.##..###.#..#....#..###.#.#.##.#....#..#####.#.#...#..##...#.#.#.#.#..##...###.###..#..##..#......#...##.#....#...##....#.##...###..#.#.#..##..#..######.##..#......###....##.#..#.#.#.#...##.#..#..#..###...#..#.#####.###....#..##.#.#######..#.#....###.##...#.##...##..###.##.#....#.#..#.#..#...#######.####.....#..##..#.##.#.######..##.####.#.##.#.#....#.....##.##.#.####.###....#...#.#.##..####.#.##.##.###.....##.######....##.#...###.###.........#.##.#.####...#......##.######.##.####..#...##.##.##...#.#.#.##.#.##.###.#..#.#####.##....####.###.###..#..#.#.#.##.......######..#.#.#.#.#..#....##..##.##.#.#...###.#.####..#########.###.....##...#.#...#.##.##..#.##...#..#.#.#...#.#..#########..#.##.#.###.#####...#.#.#####.#....#..####.#.#.###....####.#....##....###..#.#....#.##.#..#..#######.##.###.#..#######.#.#.#...##.###..#.#.#.#.#.###..#.#.#.####.....##.##...#...###.##.##.##.###....#####.#.##.###########....###..#..##.###.##.#.#.#..##..##.#####.####..#..#..#.##...#..##.#.##..####...###.###.####..#####....#..##.#..#########.#..####...#####.###..#.###...####.####.#....#.....##..#.#.##...#########.####...##.##.#.#......##.#...##.#...##.#..#.##...##.#.##.#..##...#.#....#.#.#.##..###.###...#.##.#.....#####..####..#....###.###..###.######.#...#...##.#.#.#..#.#.#....##.####....#####.##......#...#.#.#.##............##...###.#..#.#.#..###.######..##....#####.....#....##.#####.##...##.###.####.###.###..###.####.##.#.##.#..#.#.##############...#.##....#####..#..#..##..###...####...##...#...#..##..#.###.#.#.#.##..##..#...##...#.#..##..#..##.##.####...#..##.#..##.....##...#.##.#.#.###########.....#.#.###...#....##.####.##..#..#.#.........#....#.#.#.##.#.##.#...#......#####....##...#.#.#.##...#..###.###..##.##.##..##....#.#.#.###..#.#...##.
###...#.##..#.##....#.#...#.#.####..######..###..##...##.....####..#......##.##...#.#.#..##.##..##.#....###.#....##..###..#..#######....#####..#...###.#..#.#.##.#.##..##..##.#..###....#####.#.#...###..#..#..##.##.#######...###.#.#.#..#......####..#.#..#...#...#.#.##..#######.##...##..#.#.##...#.#..###.#.#.#..#..#.####..#####.#..#..###.....#.#.##.####....#.###.##.#.#..##..#....#####......##.#..####...##..#.....#.#.#.########.#.#.#....###.##.#..#.#.#.#####..#..#..###.#....###....#..##.#####.#..##.##...#.#....#.#.#..#.##..#..#..##.#...#.###..#.#.##...#.#.#.##.####.#.######.#.###.####..#...##.....###........##...###.#.###....###.##.##.#.#.###.#.###..#..##.#...##.####......####..#.##....##.#..#.....#.#.#..###.#...######..#....#..#..###.#...#.##..##.##.###..##.#....##.#.#.###.##.#.##.###..##....###.#.#####.#.##..##.#..#..##.##.....#..#..#.##.##.#.#.##.#####...#....#.##.##.#.####.#.###...#..#.##.##.##....#....####.#..##.#..#.##.#.#.#..###..#.#..###...#.........#.#.....#..#####.###.#..#.##.#...#.#.......#.#...#..#......##....#..#.####.##...##.##.###.##.###..#.##.##.###.####.#..##...#......###.#.##....###..##.##...#.......#.....#.#.##.##.#.#...#.#.#.##.#...#.####....#.#..#..#..####....#.#.#....####......#.####..#.####.......##...###.....#.....##........#.####.#..##..###.#.##..##..#.##.###.###......##.##.##.###..#......#...##.###.#.###.#...#...#....#..#..#..#...##.......#..#..##.##.#.####..#......#.#..####.#.#..#.#.##.#.#..#######.#..####.###.#.##.###.###...##.######.##..#.####.##.#.#.##.######..##...##.#.#...##..#..##..###..#....#.#.#..##.#...#######.######.##.#.#####..##.#..#.####...#.#..###..##.##.##..#...##.#..######..##...###...####.###.#.###..##.###...####...##.###..##.##..##.###...#.##.##....###.##....##...####..######.#...##.##..#.#####....###..#..#.##.#..#.###..####.#..####..#...##..####.#...####..###..#...#....#.......#...#.###....###.#.#...#.##.....##.#.....##..##.#..#.##....##.####..###.#...#.##..###..#..##...#........#.##..###.##..#....###..######.##.##..###..##.
.#..##....#.#######.#....###.#.###.##.##..#.#####.#.##..#..#.##....#.#.##..#..#.#..#..###...##.#..##.#..#.######.#....##.#####.##...#.##..#####..#.#...#..#.##.##.###..#########......#.........#####.....#..#...#.#.###..####.##.#..####.##.###..#######.#.##..#..#.##.#.#.#....##......#.....######..####.##.###.#####......###.#...#..#.##.###..####...#..#.#...#....###..#.#.#..#..##.##..##....###.#.#.##....#..........##..##.##.######..##.##.#..######.###.#....#.#.#..##.#.##.##....##...#.#.#.#......##########..##.#.#...###....#...##....####.###....#.#..###......###.#.#..#.#...#####.##..##.####....###.####.#..##...#.###..###...#.##...######..#..#...###.#...#....##.#.#...#...####..###.#.#####.#..#.#.###..##..#.###.####..######..#######....#..#.###.#.....##...#.#.####.#..#..##..#....#.###..#...##.#..#.#.##.......#.#.....##.###.#..#...#.#...##.##.#####...###..#.####...##.#.##..##.#.##...##...###.#.##.....##.#.....##.##...#...#..##.###..##...#.#..#......###.#.........###.##..#.#.#..##......#.##..####..#.....####.#####..###..#.#..###...##.#.#.#.##...#####.#.##..####.##.##.#....####..##......##.##.#..#..#.#.##.#..###....#....##..#.##......##.######...#..####.#..#######....###.##..#.#..#.#.#...###.#..#..#..##..#.....#....##.#....######.#.#####...#.###...##..##..##.#..#.#.#....###..#.#...#..#.####..#####.##########.#.##...#.##.#.##..###.##.####.##..#.#..#.##.#####.##.#..#.##.###.##.#.###..##.###.###.#.#..###......##..#.###...#.#####.#..#...#....###.#.##......#..###...#.#.#..#.##.#.#..###.#.#...##.##.#.###.......##.##.##...#.##..###.##..##..####.###.#....######.#...###..#....###.#.#.#..####...#..#.#.#...#..##...##.###..#.#.#...##.#.....####...##.#.##..##.###.#....##.#.#..#.###....##..#.#...#...#..##..#.####..##....##.##..###.#.######.#.##.####.###.......##.##.#.#..#...##......#.####...##.#.#...##...#....##.#.######...##.###..##....###.#.#.#.##..##...##.#.....#.###..#..##..##.##.#.##..#.#####..#.#..#####.#..##.##..######..#...#######.###..#...##......##.##.####.#.##..#.#.###.#....#....
##..#...#...#.###.#..#..#.#.#.###...#.#....#.....#...##.##.####.....####.##..##..#..#######.##.#..#.##.#.#.######....##.###.#.###.#####..#...#.#.#.#.##.##.#...######.....###.....#..###.#..##.#.###.#.#..###...#.#..######..#.##.#..###.###.######...##.##...###.#.###.#..##.###.#...#..##.###....#.##.##...#.###..##...###.#...#.##..######....#.#####.####....###..##.###.#...###.####....#.####..#.##.##.###....#.##.####..#...#..#.#.#.####.####.####..#..###.###.##.###....###.#...#..##.##.##.....#..#..#..##..###.##..#.###..#.#.#..###..##..#...#.##..#..###.#..#..###.###...###.####.##.#.###.##.######..##.##.###.....#.###....#.#.###.....###.........#...#..###..####.....##..#....##.#....#...#.#.###....##.#.###..##..#...###...#.###..#..#.#######...#...#...##.##...###...####.#..####...#...#.##.###.####...##.#.######.......##.##.#.#.###.....#...##.##.#.##....#.#....#.###..##...###..#.###.#.##..#.#.#.##...####.#...##.#.##.###.###.#.##......##...##..#####.###.....#.#..#.##..#..##......###.#...#.######..#.#..#..#...#.#..#.#.###..#.##.##.####...####.........#.......#.#.#####....##..##.###..###.######.##.#.#..###..##.#..#.#.#...#.#...###.......#.##.#.#.#.####.#.#....##.##.###.##..###..###.#...#.####.#..#.#.#..###.###..##.##..........###########.##.##..##.#..####..#.#...###.#..####...#####.#..#..##.....##..#.#...######.#....####.#...#...#.#......#####..####.#.##.#....##.###...#.##.#.##...###.##.....#.#..#..##....##.#...#.#..##...##..###...#....##.###...#......#...#....#..##..#.##..#...##..###.##.##....#.#.##.###.#.######...##....#.......#.#..##..#..#.##.##.....#.#.##.#..###.####..####.#.##..##.##..##...###.##..###.......##.#..###########.#.#....#..#.#.####.##.##.##..###.#.#..##..##############..##....##..##....#.#.#.......#...#.##....#.....#..#.#.#.#.#....#.#.##..##...##.#.....####...####.#.###.....##..###..###..#.####.#.#......#####.##.##.#..#.##....#.########.##.#....#....#.###.#..#..#.#...#.#...###.#.###...##.#...##..###..#..#....#..###...#......##..###.#..#.#....#####..#..#....########.
####....##...#.##...#.#.##.####.......#.#...#..#..#######...###.#####.#.###...###.#....#....#.....#.#.#.#..##.###...##.##....#..####...#.###.#.#.#..#######..#............#.#..####.##..##.#.#.##.....#.##...#.#..#...#..#..#.#.#.##..#...#.#...##.##....#...##.#.#..#.##...###.#.#.####.#....#..#..#..###..###..#.#.##....#.####.##.###..#.##...#..#.##.#.#.#..#.##..##.###..###.##########..#.#..#.#......##.##...#.#.####.##.##...#....#.###...##.###.###.#.......#.....#........##.##....##.##..#.##.#.#.......#####.......###.#...#..###..###.........#..#.....#.....#.###.#..#.###.#.##...#.##.##..#.#.#..##.##.#.##.#...#..#.#...#####...#..#...#..####.#.##.#....######..##..#.###.#.##...##.#.##.##..#..#.#.....#..#########..###..##.##.##..##.#######..##..##..#..####.##..##....###..#.####....####.###..#.##.#...#.##.###.####..####..#.....#...#.#..###.###.####...#..#..###.#.#.#.##.#..#..##.#....####.#.####.##.#...#.##...###...###.#.###.#.#.####.....####....###.#....####.#.#..#...##....#####.##....#..##.#...###...#.#.##.#..#.#.#..###.##.............#.#######.##.#..#...#.###.#....##...#.##..#.#.....#.##..#...#.#..#.##..#.#..#...#.#.#...#.....##.#.#.##.###.##..#.#..#...##.##..####...####.#.#.##..##..###..##..###.##..##..#.#.##.#.#...#.#.###.##.##..###...#.##..####.#.###..##.#######..#...#..#.##.###...##....#...#.....###.#..#.#.......###.#..#....#..########..#####.#############.###.##.#.##..#.#.#...##..##...##.#.....##......##.###..#.#.#.###....##.#...#####.##......#.......##..##.#...#..#.#...##...###.#####....##..#.#..#.#####.####......###.......##.#..###.#....#.#...##..##.....#.#...#..##..#..############.###.##.#.###.#......#..#..#..##..#.#.....#...#..####.###..###.#.#.#####.##..###.#.#.####.#....##.##..##.##..##..#......#..#.#..#..#.##..#.#....#...#....##..........#....#....##.#.#####..###....#.#.##.#####.#..#####.#.....##..#..#..#.####.##.##.#.####.#..#...#...#..##...#...##.#.#...##..#####.##....###.....#...#.###.###.##...#.##..#....##..#..#..###.#..#.####.#..#.#......#######.#.####..#....##
##.###....#####........#.###...#.###.##....#.###...#........#...#..####.#.#.##.##.#.##...##...###....##.......#..#.###...###..#.#.#...###...##.#.##..#####......#.#...###.###..#.##....#..##....####....########....#.#.###.##.......#.###.#..#.#.##.#..#..##..####.##..##..#.....#.#.###.##..##.....#...#..#....#######.##..##.##..##.##.#.##.#....#..##..##...##..#........#######..###..####..#..##....#..#.#.#.#.####..###...##..#.#.#.####..###.....##.#..###.#####..#......#.##...#..##..#....#.###...#.#.#....##..#..#...#.#..#.#.#.#.###..##..##...###...####.#.###.#...#####.###...##......#..##.##.##.#####.#....#....#.#.###.#.####..######....###..#..###.###....#.#.##..#..###.###.#..#..#.##..#..###....##.##.##...#####.....##.#..........####..####.###.####.##..##..#.##.##.#...##.####.##.#...#.##.##.#.#..#..####..#.#######.####.#.##.....#.##...##..#####..#.#.###.#.##...#..#.#.#.######.#.....##..#..####.##..##...#...##...##.....##.###.##.#....##.#.#.#.##.##....###..#.###...##....##..##.#...####..##...#..#.#.##...#......##..#..####.......#..#..#.##...###.###.######.###..#####..#.####....##.###.##.#..#.#.......#.#####......#.####.....#....#.##.........#..##.....#.###.#..#.##....#.#.##....##....##.#.##.#.####.#.#.#.##.##..#...#.#....##.#.#....##.####.###.#..##..#...#####.##.#.#...####.#.#.###...#.#...#.....##.#.##.#...###.#.#.#..##...###.#####..#..#...#....###..#...#..##.###..###.##..#.##..#...##.####.#...#..####.....##.##..##.###...###...##.##...##....#.##.####.###.##.#.#.#.###.#####...##...#..#..#.#.....#.....##..#...#..##.#......#..........#..#...##..#.##..#....#######.#.######...#.###.####..#..#.##..#.....#.###..##.##..#...#.####.#.#...##.#....#.#..#....###.#.#..#..#.#....#...##.#.##.###........#........#.######..#.#.####......#.#.#.###.#.##..##..##..#..#..###.######..#....##.#.##..##...#.##.#.#..###.##..##.###.###..######..####.#.###..####..###...#.##...#.........##.......#.#..#..###.#..#####.#.....#.###..######..#.#####....###.#..#.#.###..#.##.##.###..#.....#.###..#.#....##..####...
.##..#............####.####.###..##.#.#.#.##.#.#...#..##.###.#.#....##.#..#..#..#....###..#.#..##.###...#####..##.#.#####.####.#..#.#..##..##.#.##.###.#..#.###..#.#.......##.##...##.#.#..#....##...##.#.####.#......#.....#.#..##....##.####.#.#..##..#....##.#..#.#...#..##.##..#...#######...#.....#.##.###.#.##.##########.#.#.#####..#.#####.#...#.#.#######.......##...####.....###......#..#.###.....#.#..#..#.##..#.####..##.####..###......##...#####.###..#.#.##..#.#.#.#.##.#.###.###..###.###.##.##..######.#...#####..##..#.#..#.#.#..##.##....##.#..####..##.##.##.#...##...##....##.##.#.#....##.#.#.##.##..#.###.#.####..##.##.####.##..#.##..#.#.##..##.#....##.#..####.##.#....#.##.#..#.#.#..#.####.##..##...#..##.##.#.#..###.##.##.#.#.#.#...#..#..##...##.####.#.#..####...##....#####.....####.##....#..#..#........#.#..###.#.#.#.#........#.....#..#####.#...#.##.#..#.#.###.#..##.#.#..##.#.#.##..##...#.#.#....#....#.##...##..#.##..#######..#...##.#.#...#....##.#.#...###.#.#.###.###....####.###.##....#..#.##...#..####.#...#..###..####..##.######.####..#.##..###....#.###.#.##..###.##...#.#.###.#.######.#.....#.##..#...##..#####.##...#.###..##..##.###.#.....##...###.##.####...#..###....####.#...#.##.#......#..#..##.#....#.####..##..##.##.###.#..##.#.###.#...#...#......#....##.###...###...##########...##....#.#.###.###....###.##..#..#.##..#######.##...#.###.###.#.##.#..####..###.###..####.##...#####.####..#....#.#..#...#.#.#.#..##.#..#...###...###.......#.......##...##.##.##.#...#.###....#.##.#####.......###....###.###..##.#..#..#######.#..#.#..###..##.#.##.#.##.##..#...#.##.#..##...#.####.###..#.###.###..#.###..#..##..##.##.#.####.###..#..##.##...#...##.##.#.######.##..##.#.#..##.##.##..##.#####.......##..###...####...#..#..#.###..#.#....#.######.#.###.#..#..##..####.#.##..#####.##.#.....#.##.######.#.##.###...#..###..##......####..#.#..####.#..##.##...####...#...#.....#.###..#...#.....##........#..#..#.#.#...##.#..####.#.##..###.....##.##.#.##.####.###......###.##....##.##..#.#...###
.#.##..##..#.#..........#.####..#.#...#.####..#..#.#..#.#...###.#......#..###########.#........#..#.##.##..#.#.###...####..#.##...#...##.#.##...##.###...#.####.###.##.#.#..#...###..#.....###.###..######.....#.#.##.#..#.#.#..###.#.###...#.##...##.###.#.#...#####.#...##.#.#.##.#..#.#.#...##...#####.##.##....##.#..#......#.#..##.#...###...#.#...##......#..#..#.##..#...###.#.#.#.#.#.##..##.##...#.....##.###.#.#.#..#.#...#.####....###..#..#...#...#...#.#..#...###.#.##...##....#..##..##....##...........#.#.##...#..#...#.####..##.....###.####..#...#..##.#.#######..##..#.#..#..##..#.#####..#.##...#.#....#######...##...##.#.##.##.#..#.##....##...#..#####..###.##....##.#..#.....#..####..#..##..###.#.###...###..####.####....#####.#.#.#..#####.#.#..#.....##.######.#.###.#####.....####.....#.#...#....#.#...#.#...#.###......#.##.#..####.....#.#.#.#.##...##..####..###....##.###...###...#..#.##..####.######.##..##.#...#.##..#..###..#.###.#.#...###.##.#.......#.###..#..#.###.###...##.#..###..#.#....##...#.###...#...#.#...#####.#.##.#.#.#.....##.#.#####.##.#.##.#..#.....#...#...##.##.....#......#..###.###...#..##..#.#.....###..####.#..##.###.#.###.#.#.##.....#..###..####......#..######..#.##.##.#.#....##..##.##.#.##.#####...###......#.....#...######...#.###..##..#..#....#..###....#.##.##..####...#.#.#...##..##...#.#.#.###.#.##..##...#....#####.#..#.##.##.#.....#.....###.#.#.#...#.#..####...#.#...#####....#.#.####.#######.#.#...###.###....##.#.##..#......#.####.#....##...#..#.#...#.#..##....##..####..#.##.#...##...#..#.#....#.##.#.#....###..#..#.....#.##.#.###..##..#.#..#####.#...##....###..####..####.#.#.######...##..###...####..##..##..#...#####.#...#..#..#.##..#..#..#.#.#.#.#####.#.####.###...###.####.#...###.###....#...##.....##..##.###.#.####.###.#######.....##.#.#....######..#..####.##..#.#####..#.#.##.###..###.#.####.###...##.###....#....####...#.##.####.#.##....##...##.#....#..##..#..##..#.####....##...#..#...#.###.##..#.#.#.####.##.#.###.#..##..#...##..###..#..#..###.#.#..##.
##.#.#..###...##..#..##.##...##.###.#.......#.#..#..##..####.###.####....#.##.#.......#..##...#..#...#..##.##....#..####.##......#.#.#######.#####..###..#..#..#.##.....##.........#......##.....#..........#.##..##.##.###..##..#.##.##.##....#.##..###.#..###.#....##.#...#.####.#.#.###..#....#..##.....#..#####...#.#...#........#.#...#.#..####...##.#####.#.........##..##.###..#...#....##.####.##..##.##..##.#.##.#.###.#...#..########.####.#####....##.####.##.#.##.#..##..#.##.#..##......#.#.####.....#..######...#..##...##.#.###.######.....##.##..##....#.###.......#..###....##.#.##....#...#####....####.#....#.....##..##..###...##..##....#...###..#.#.#..##.##########.##.##..#.#.##.#.###.#.....#..###.#....####..###....#..##...#...#####.####.#.#...##.#....#..##....#..#....#.###.....#..#..###.##...#.#..#######......###..#.###.##....#..#.##..#.#.###.##.........#.##.#.#####.###.##...##.#...#..##.####...#..#.....#.#..##....#...####..#.##.....##..#####.#......#....##.#.#.#.#..#..####.......###.#.####.##..#.#.####.#.#....#...#..#..##.###.#####..#......#.##.###.#...#.#.##.##.#.##.###.#.##.#..#..#.##...##..#####.#.##.####.#.....#.#.....#####.#..#####.###...##.#...#####..#####.###.#.#.###.#..#####.##.##.###..#.#####...#..#...##..##.....##..#...##...##...#..##.#..#....#.###...######.#...#...###.....###..#..#.##.#....#...######.#..####.###.#..####.###..##..#.####..#..#.###.##....#.#..#...#..##.#.#.###.#..##..##..#.####..####...#..#.###.#..#.#...###.##....###...#...###.#.#..##.#......##.##.###.##..##.###.#.##...#..##.##..##.##.##....####..##.#..#.###....#.#.##..####...###.##.##..#.##.###...##..###....#....###.##..#..#.#####.####..###.##..##.######.####.#.######....#...##...##.#####.#..###.#...##.####....###..#.##..###.##.#..#.####.##.##..######..#.###...##.#.###..#####.##......#...#...#.#.....##..#..#.....#..##.######.....#...###...#...#..####.#........#####.####..#..##.#.....##.###..#.#.##.###....#..#.###.##.###.#####.###.###.#.##......#........#.##..##.###..#.###....#.######...###......
.....##..#..##....#.#....###..#####......#..###.##.#..##.##...####...#..##..########...##.##.#...#.#.#.##.##..##.#...#..###..###.#..#.#.#..#.#.##.#..####.#######...###.##...##.##....#..###..###.#.##...#.#..#..#.#.##...###..#####.#..#.#.####.##.#########...#.###.#.....#.###..#.##.#.##.#....#.#.###...#...##.#...#.....##..##.####.#...#..####....####..#..#...###.####.#..#..##.###..#....##.#.#..#.##.#.######..#.#.....#.##.###..##.#......#..#.#.##...##...##.##..#.###.#.###...#...#.###..###...#..#....##.##.##.####.....#..#.#..#####.#.....####.#..#....#..#.####.##....#.####.######..##..#.....#.#..##...##.##.##...###..####....#..###.#.#..###..#..###.#..#####...##.#.#.#..#..##.##..#..#####.##..#......###.###........###..#..####.#..##.###.#...####.###.#..##.#.#..####.#.#####.##...#..##.#...#...######.#.####.#.#.##....###.....#.#...##.##...#.######.#..#....#####.#.##.###.#.###.#####.###...#.##.#...###..###.#.####.#.#..##########..####....##.#.###.#.####..#.###.###.####.#.##....#######.#...#.###.###..##...#....#.###.#.###.#####..##..#...#.##.#.#####.#.....#.##.#.#..#.#..####...###.######.##.##....###..#..#...#.##.#..#..#.#..##.#.##.#..#.#..####..#.....##.#.#####..#...#..##.#.#..#######..#..####....####...#..##.#..#.##..#.#...#.#....#.####..#.#.......#####....#.####.##.##..#.####...###...#.###...#....#.#..#.##..##.##..#....#.#.#.##......#.####....##.#.#.#..##.##..#.####.####.####.#.##.##..####..##.##..#.###..###.##...#..#.#####.#.#...#...#..##.#.#....#....#...##...#..#..#.###...#..#..#.###.########.####.#...#....#.##.######.#..#####.#.#..####.#.#.##..###..#...#.##..#####....#.#...##..#...#..##...#.##..##....#####.#.#.#.##.#..###.##..#....###.######.####.....#.#....##.####..##...####..#..#.#...#..#...#.#####.#.##......#.#.##.#..##...#.#.#.####.##.###.######.#..#...#...##.#.#.#......#...#.###.#..####.#..###..#.###.#.....##.#....###..##...##....#.####.........##.....#.#.#.#.##....#..#..##..#..####....###....#..###...#.#.#.....#...##.##..##.###.#.#.##.#.#.##.###..###...#####.#.#....#
...##..##########...###....####.####...#..#.....#.#..#...###.###......###..###.#...#..#...###..#.##.######.....#.##.##...#...####.#..##..##.#..#....#....#.###.####..#.#####.#.###..#.##..#........#.#...#####.#.....#..##..##...##...##.#.#....#.##..##.##.##..##.######.#.#..#........##.##.##.#..######...#.##..##...#...#.##.#..#..#.#..#.#.#.#.#..##..#...#.##..#..###.....#......#.#.#..#.##.###..##.##..##.....###.###..#.######..###.##.#.#.#..##.#.....##..##.......#....###.##.#..##.....##.#.#.......##..#####.#.##..#####.#.##.#..#.#..##########..#####..#..##..#..#...##....##.#.#####..#..#####......#.#.#####...##.....#.###..##.#...#.#.#..#....#..#.##.###.#...###.....##.#....#.##.#..#..#.##..##.#..###.#....#..###.#......#.#.##...##..#.##.#.#.#.#....#.##..#.#........#.#.##...#....#####.#.####.##....###...#.#.####.#.####.#..#...#..###.#..#####...#.....#.#..##..##....#.##.#.###....##.#...#####...##.##..#.##...#.#...###..#.#..#...###.##.##...#.#...######.#.#######..###....#####.#######...##.#...###.........#.#..#.#.###..##..##.###.#.#.#.#......####..####.#..#..##...#..#.####..#...#.#.#.###.##..........###.##....###......#.###..#.########.##.####....#......#.#..##..#.#####...#####.###........#..#.###....#.####......#.#...##.###..#.###..#......#.###.####.#...##.#...##.#...#.##..###......#....#.#.####..#..##..#.########.###...##..###.##...###..###..##...#....####...##.###..#.######..##.##..####.##..###.###.#.#.....###...##.####.###..###.##.###..#.##..#.###...#..#..#####...#...###..#.##.#....#....#......###..#######..##..##......#...#..###..#..##..######......##.###.#.#..####.#.#.#...#.###.#.####..#...######.#..##.##.###.##..###..##.#.#.#..##.#.#..#.#.####.#.###...#######....####.##..#......##.###...###.#.##...#..#..#####.###.#.###.##.#.#..........########..#....#.##..#..#..#.#.####.#..##.####..#..###.#.#.###.##.#####..##....#..#........##..####...........###...##.#...#.###.###..#.....##.##..##.##.....##.###....#.###.##.#.#####..###....#..####.#..##.#.#..#.#..#..##.#.##.#..##..###..##
.###.#..#.#...#.#..#####.#.#..##..#..####.#.#.#....###.#.#..##...##..#.#.####.##....#...#.#..#....#.####.#...##...##.##.#.....##.#.##.#....#.#####.....####.#######...##.#..#.###..#..#.########..##.####...#...####...#.#.##.#...##.##.#.#..........##.###..####...###....#...##.#..#.......##...###.#.#.#.###.#.##..##....##.#.####....#####...##.##.##..##.##..####.##.###...#...#####..#...##.##..#.##..##..#.#..#.#.#..#..#..#.#####..#.####.####..#.##..###.##..#.####.##.#####..##.#.#......#....#.##..#..#####.#.##.#.##..#####......#.###.###..#..##.#...#.#.###.##.........#####.#..#.......#.#.###.##.######.#.#.##.#.#.#..#.#........###.####..##.#.###.....######.#.#.#..###.#..#....#####.##.#.##.###..##...#....#####..#..###....#...#.#..##.......#####..#.###.#.####.#.##....#.###..###.###..###....#.##.#..###..####.#...#...#.#.........#..#....#.###...........##.##.#.#...####...#.#.##..#...#.......###.####.#.#...###.#.#...#.#.......#.###.###..######.##....#...###.#.#.##..###.#.#..#.#.###..#.###.#.###.#....#.#....##.###..#....##...#.#.##.####...#..##.##..#....###..#.......###.###..###.#....##..##.#.#.#.#.#..#...#.#.#.#..##.....##..#..##.#...##.#.##..#...#.###..#..#.#.##.#.##.##..####.##......#.##.#.....#.#.#.....##..##.#.#.#.###.#.#.#######...#.#.####.#..#####.#....##...#.##.#.####.#.#.##.#####..##.####..##......#...#.##.#.#.#.....###..#.....#.####.#..#..##...#####.##..##.##.#..#####.#...###..#.#.#...#..##...##..#.#...#..##.......#.###....####.##...###..#..#.###.##...####.#....#.#..#.#..#.#..##...##...##.##...#####.#..#####.......#...##.....##....#.##.###.#.#.######.####.#.#..##.##..#.#........#####..###....#.##....##..#.##.#######..###...#...###....##...##..####...###..#.##.#.....##.##.#..###.#####.#..###...#.#.....##.##...#......#...#.##.#...#..######.#...##..#..####.##..........#.##.##.#..#.###.....##.####......####..#.##.#....###.#...##.###.##..##....#####..#.####...#.###.#.#...##..######.#.#..#..##..#.##..####....###.###.##..###.#####.#.....###.##..##.#...#.##.##.##.#.##..#####....#
#...######..##.####.#....#.#....#######.####.###.#..#..##..##...##.#..#.#....#....#.##.##....#.###....#...#..#....####..#.#.##...#.####.###..#....#.#.#####.#...#.#..#..###...###.#...##.##...##.##..##.#.##.#####.#...##.###.#..#...#....###...#.#....#...####..#...#....##.##.###.###...##......###....####.#.#...##.##.###.##.#....##..#.####....#..##...#.#..###.##.###.###....#.....#...#.#..#..#.###....##......####..####.###.#.#.##.#####..###..#..#.#######.#.#.....#....#..#..###.##.#..##.#.##..##..#####..#.###.#...####...#.##......#.#.#.##...#.#...###.#...##.#.##.#...##.....#...#.######..###....##.##.##.##.....##.#.##.#.#.#..#####.....####.#.#.#...#..#########.#.#.#.####.#...####.##.#.##......##.##...#..#...###.....#.###.#.#.###.##.#.##..#..##..#####..#####..#.#.#.######.#..##..#.#.#.###.#.###.##.#.#..#..#.#..#.#..##.#####..###.###...#.##....#.########.##.......#.#.####.#..#.###.####..####...######..######.#####..#.#.##.#....#.#..#.#.##.#.##.............###..#..##....#....###...#......#.##..#...#...#....#.....#..#.##........####.####..#..##...###..#.######....#....#.##.#.####.#.#..##.#######.#.#..#..#.###..##...#.##.#....#.#..######..###.#.#.#.......##.#.####.#..##....###.#..#.#####.#..#.#....###.....#.#..##......######.####.###...#.#.#.###.#####.....##....###.###..########.#...#.#.###....#..##.#...#.#.####.####.#.#...###....#.#.##.####.#..#...#.##..#..###.##..#####.##.#.###.#.#...########....#######.##.##.#........##.####...#..###..###.#.###....##.#.#.#..##.#....#.###.#.#..#..#.#..#....##..#.....#####..#..#...##########..########....#..#####.####....#.##.#.#.#.#...#####...###..###.#.....####..##..#.#.#..#.##......#..#...##..##.#...#.#####....##.##...#...#...#.#.##.#..#...#.#.####.#..............#.#..###...#...##..###..#.#.##..#####.###....##.#.####.##..###...###.#..###..#.#..#..######...#...####.......#.#..##...#.#####..###..##.#...####.#...#..##.#.#..#.#..##.##..#.#.##...###.....##..##....####..#.#..#..#..#..###..##.#......###.....###.#.###....##.....#.##....#######..#...
..#.....##.#.#....##..#.####.#..##.#####.###..#.#.#.#.#..###..##..##..##.#...##..#..#..##....#....#.##.###..#..#####..###..#.#.###.####.#.##.##...#....###.#..#.#...#####.#.##.##..#...#.##.##.###########..#.....#..##.#.#..###.....##.#.#..#.....##.#.##..##..##.###..###.....#...###..#.#.#.##.##..#.##..####....##..#..#..#.#....#.#.#.#...##.#...#####..####..##.#.#.#...#.#.#..#.###.#.#.#.###..###..#.#...##..#####..###...#.#.#..#.#.#.###......#####..#....#..#.##...#..#.##.#....##.####...##.#..##.#...###.#.##.#.#...#....##..#...##.####..#####.#...###..#......###.#..#..##..#......##.#....##..##...#.#.#.#.##.#...#######.##.....####.#.#..#.##..##...#..#..##..##.###.#..##..#.#.#.###..#.......##....##...##...#####..###...##....#.##.##.#.#.#.###..##.#.##.##.##.##.#..#........#...#..#.##.#.#...##....##..##..###..#..###...##.###.........###...##.#..#..#####.###..##...##..#......#..#....###.#...###...#..#.#.##.....#.###.##...#.#..###..##.#.#.####.##.#.##.#...#.##...#..##.#.#...#####.#..#.....#..#.###...#.#.##.##..##.#.#...##...#.#..#.##.#..#...#..##.#..#.##.#...#..#.....#...####..##..##..####..#..######.......#........#.#....#....#...#.#.......##..##.##.####..#.####.####.###.#.####.##..##.##.#.###..##.##...##.###..##..#..#..##.#..##.....#.#..#..#####.#.#.#..##.###..#.##...#.####......#..#.###.#....###..##..#.##....#.#..#.##...####.#####.##.###...#......#####..#..#..##.#.....###.#.##..#.#.##....#.#.#..###..####.###....#..#...#....#...#.#....###.##....##..#.#....#....####.##.#....###...###...##.#......#####....#.....#####..###.#.####..#.#.#.#.....####.#...#.#.#.......#####.##..#..#..##..#..#.##..#.##.#.##.....#..###..###.#.#.##.###.##...##......#.###..#.#.........#..#.##..##.##..#.#####..#.#.#####....##........##.##.##.##.###..##.#.##.###.#.#.#...#######.##.#.#..........#...#####.#..##.#.#.##..##...#.####..#.###..##.....##.##..#####..###.##.#..##.#####..##......#.##...#....#.....#.####..###..###.#.#...############..####.#...###.######........#.#..#.##......####....#####..##..##.#.###.
...#####.##.#.####.#.....#####....#...#####.##...#.#....#..#...##......###..#####.#...#.##..#..#.##...#####....#.####.#...####...####.....##.....###.##.....#..##.####..#..###...####..#..#####...#....#.#..#..##....##...##.##..##..#.######......######....###.....##..#.#..#.#.#...#..##..##.....##..#.###.#.........###..##.##.##.##..##.#......###....#..#..#.#.#####..#.#.##.####.#.###########...#..#.##..#.#####.#.#.#...#..#...#..#####.#.....#....###...#..##..#...#.####.##..##.##...#..#....#.#..##..#..#######.##..#.....#..#########..##.#.#.######.##..##....####.....##....##..#.#...#...#.##.....##.##..#..#...#....#.#.##.##.##.##.###.....#.##.#######.......#.#.....######...#########.##.##.#.###.#.###.#..##.#.#.##.#.#.##.#.#..#..#...#.###.#..#...#####.##......##.#.#..#..###..#####..#..#.........#...##.#.#####.#.#.#..##.##...#..#..##.#####..##...#..##.#.#.#.#.###.##.#.#.....###.#.#..#...##.###.#.#..#######.#.##.#.###...#.##..##.#.##..##..#.#.#.#..##...####.....##.######.#.#.##.###.....####..###.#.#.#.#####..........##.###.##..##.#..##.#.#.##..#.##......#...####...##...#...##..#...#.#.#.###..#.##.#####..#.#......##..#..####..##...#######..###.#.##....#.#..#.###....#.#.#####.#..#...#.....#.###.#..####.#..####...###...###.##..#####.#.#.##...#.#.......#....###...##.###.###..####.##.#...#.###....#.###.###..###....#...#.#.##.#.###.##..###.#.#..##...##...#...#.#.....#.#...#.#.#..##.#.#.##.#.###.#...##..#...#...#.#.....##...#..#.#....###....##.###.#...#...###..###.#..####..##.##..##.##...##....#.#.###.#..#.....##....#..##.#.##.##...##.###....##.###.#.###..###.#..##.#.#.#...##.#.###.##..#.#.#..#.#..#...#.##..#..#...#....##....##.##.#.##.####.##.##...###.#.#...##...#..#.#....###.###.#...#####.###.#...#...##.##....##.#.####...#.#....######....##...###.#.#.#..#.##...##.#.###....##..##..#..#.###...##.#.###.###.#.###.##..##...###..#.###...###.....#.#####.#.##....###......#.###.###....#..##.....#..##..####.#.#.######.##...##.#..###...##..##.#..#..#.......#.###.#.###...#.#..##.#..#..#####....
.#.....##..###.....###...###.##....######.#.#####...#.##..#.....#####...#....####.#..###.###.##.#..#.##.##...#.#.#...####.#...###..#.#....######..#.###.##.#.##...###.#.##.##..#.##..###..#.#.##..######..####.#.##..##..#...........#.#.###.....##.#.##.#.#..#####.#####....###.#.####.....##.#.##...##.#.##.###..#.#...##..#...#.#.#...##.##.###.#.....#...#....##.###..#....####..#.#....###.#...#.##.###.#.##..#.####.##...##..######.#####.#..#..#.#.#.#.###.#.##.#..###...###.#.#.##..##.#####..###.###.#.....#...##.#.####.#.#.##.#..##...#.#.###.#...#.#.#.......#.#.##......#.#...##...###...#.###.####..#.###.#####.#####.#.##.#...#..#....#..#..###...##.#.#..##..#....#....##.#...#.##.#.#.###.#.###.#.#####.#.#####.##..##.###.##...##.##...###########........###.##...#.......#.#..#####.#.#..##..##.#..#..#..#.######...##.#..###.#.#.#.#..#......#.##.#.#.#.####.##..#....#####...#####..#..#####....####.###.#.###.##.#.#..###.#..####.#..###########.#..##..#..####...###....#...##.....#..###.....#.#.#.#......#..#.##.##.#....####.#..##.##.##..#.#..#.##...##...#.#.....#.##..#.#.#.##..##.#.....##.###.#.##..#.##.##.##....#.#.#.##.......#.#...........########..###..#.##...##.#.#.##.####.....##.##.##....#....#....###..#.#.####...#####.......##.#.#..##...##..##.#########..#...###.#...##...#.#.##......#.#.##.##.##..###.##.####.....#######..#.....####...#.####..#.##..###...#...##..#...####..#####.####.###.#.###....#...#..#..#.#.#.#....#..##.###..###.#....#.##....#...#...#....###.#..##..#....###.#.#.#.##.....##....###..##..#.####..####.#...######.##.#...####..###.#.#..##.#.###.###....##..#..###.#..#.##.##.#..#..#..##.#...#....##......#.####.##....#.......#..#.#.##.###.#.#.#..#.#.##..##..#.##.##...#####..###...####.#.#...#..######..#.###.#.##.###.###.###.....#.#####.#.....##....###.#...####..##.#...###.###.#..#..####.#.#...#.###.##.####.###........#..####...##..#.#..##.#.####...#..##.#..##.#.###.#.#..#...#......###..#.###.#.#....###.#..#.###......######.###.#..#.#####..######.##.######...#..##.####....###
#......###..###.#..##.#.##.#.#####...#.####...###.#...####.###..#######.###.###.###.#...#.#.##....####.#..##.......##.##.##...##.#.#.#.#..##.#....####..##.....##....#.##...##.##.##.##.##.......#....#.#....##..##..###.#......##.#.#.#...#.#.#####....#.###.....##.#.##...###...#.#..#.#..#.#...#...##..#.#.#.##....###.#....##.#.#...#.#..#...#.#####...#.#..##..###..##..#..#..##.#.#.#...#..#..#...#.##.#.#.#.####...#..##.##..##...##.######.##.########..##.#.###.#.#..##.##...####..##.#.#..#...###.#.#.#####...##..#..#..###....####....##...##.###.#.#.#....##..####.#.##.##.#..#.####.#.#.#......#.....#######...####...#....#..##..####.#########.#.#.##.#..##.##..####.#.#.#...####..##..#.##.#.##..#.............###.##..##...#.##...##.####..#.#.#..#.##.#..#....####.########.###.###.#.##.##...##.#....#.##.##..#..###.#.##.#......###.#.###.##.#.#.#.##.#.##..#.#.#..#..##.#.######.###.###.#.#.###..#####....##.##.#.#.#..#.####...#.#.#.....####.#..###.#.#.#.#...##.#####.#...#.##...##......###.#.##.#..##.........#...#########.####...##....#.##.#.###.##..#.#..#..#...#..#..#..#....#...####..#.##.#..####...#.#......###.##..#.#####...#.....#.##.#...#.#..#...#.##.#..#..###....##.##.#.#...#..####..##.#####..##.#.######.##.#.######.#.#.#..#.#######.....####.#.#...#.##...###....####.###.######.#.#..#.#...###...##..##..####...####.........##.##.#####...####.###.##.##.##.##.#..###.##.#.#.##..###.#.#.#..#.#####..#####...##.####......#.#####.##..#.#.###...####.####..#####.####.###.#......####.#.#######....###...##..#.#......#.#.#.....#.##..####....#.##.###..####....#.###.#.#....####..##.###...####.##...###.....#..##.#.#.######.#.#..########.##..#######.#.###.##..##..##..#..##.#..#...#..#.#####.####...#.##..#..#.##..#.#.#...#..#..#.....####.#..########.#.....#..##.###.#.##.##..#.###..###.##...###..####..#####.##.##.#.##...###....#..#.#...##..#...#.#...#####....#....#..###.#####.##...#....#...#...##..#..#.###.#.#.#####.##...#.#...#..#####.##.#.#..###..#.##.#.####.##......###.##.#....#.##..#..##...####.##.#
#.#...##.#..####..###.#..##.##.##..#...#.#..#.###.#.#.#.#..#.#..##..#.#....#.#...####.######.#...#..##..#.....###.....#.#..#.#..#....####...#....###.......####.###.##..##...##.#.###.##.##..##..####.#.#.#.##...#..####.#####....#.#.#....#####.##.##..#.####.#..##...#..#.######.####...######.###.#####..###..#.#..#...#..#.#.###.#.##...##.#.#.##.##.##.#..##.##.#...##.#...#...##.#.##..##..##.#.#.#.##...#.##.##.#.#.#..####.##...####....#..##..#.#..########.##...#...##..#...#.##..#......##.###.######.######..##.###.##.#....#.###.#.#.#.#...#..###.##.###.#.#.#......##..#.#.....#....#..#.#..##....#.#....#....##...#####..#.##.###..#.##.###.####.....#....#..#.#.#....####.##..##....#.##.#...#..##.##.#..######.#....#..####..##.....##...####.#.#.##..#....####...######..#.#...#.#.#.###.#..###..##..#.##......##....##.#.#.##..#######.#..#..#####.###....####.####.#..........##..#.##.###..##.##.#.#.##.##...####....#.##.####....###.####.###...##.##.##..##...#..#..######.#..##....##.####..###...#####...#.##...##.....###....#.#..#..##.#.#.#.....#######...##..####.......#..##.#....#######.#....##.#..#..#.##.....##.#....#.######..........#......#....#.##...##.###.##.##...#.#.#.####.####.#..###...#...#.#.#.####.####..###.#.##...#.....#......#...#...####..#.#..##.#.#.##.#.#...#.##.#...###.##...##.###.###..#...#.##...#####.#.##..####.#.......##.#..####..##.#...##.#.#.#...##....####.##.#.##.##..#.##...#.#...##.###.#..##..##.##.#.#..#.#.#.....#####..##.###.##...##..##.##.....##....###.##..#.###.#...#..#.##.####..####...#...##.#..##....##..#.#.#..##..###..###.###...##...########.##.#..##..##.#.#####..#..#.###..#.##..#....###.#..#...#....####..##.######...#.####.#...#.######..###..#..##.##.##.#..#######.#.##..##.#.##.#.#.#####..#....#....##.#.#.#..####..#..##..##.#..#.......#..#.....##.#..#..###...#.#.#...#.##.#####..#..#.##..#.#..######..#..###...###..#..#....##..##..#.##..##.##.#..#.####...####..######...###..##.##.#.......##.#.#.#.##.#..#..#..##.##..#####.#..####.##.#.###...##..##...#.###.#.###..
##.###...##.#...##.##..##.#.....#...##...##...###...###.##.........#....#..#...###...#...##.....#..#..#.#.##..#####.######......#...##...##.###.#..#..##.##...##.######.##.#.##.#.#.#####.###.##...##.#.#.###.#...##..#.#.#...####.#.#...#.#..#########..#...#.....##...#..##.#.##.#.........##..##..######.#####...#...##.#..##...#...##.#..##.#.##....#...####..#....###..###.#.###.###..#.......##..#.####.##..#.##....###...##..#...#.#.##...####..#.#.#.#..#..##..#.###...##..#..##.##..###.##..#..#...#.#...#.####.#..##..##...#.......##..#...#.#.#..#..####.#.....##..##.#.##....#.##..#####...##..##.#..#.#.#.##.#....##...#..##...####.###...#.#.....##.###..#.#.####.#..#.#.#...#.#..##..#.....##..#.#.#..##.##...#..#######.######..##..#.#..###.#####.####.#.#..#....####.#####.#.#..#.##.###.###...#.###.#..#.##.....###..#.#.#..###.##.##########..#.....###.#.#...###.#..##....###.....##.#..#.#.###.#######.....##..###..###..#.##..####.##.###.#.#########..##.#...#..##.#.##..#..#.....#..#...####.##.#.##....####.##.#.....##.##.####....##..#..##...#.##....##.###.##.....#.#####.....##.#..#.#.####..##.#..#....##..###.###.#...#######.#..###..#####....#.##...#......###.#.####.##...####.#....#....#.#....##..##..#.#...#.##.##..#..######..#.#.###..#....#....##.##.#..##...#.#.#.#.###.##..#.#.####..##.###.##..#.#...###....#..##.###.####.##.##...###.#.##.###.#.#..##..#..#..###..#.####.####....#.#..#..#..#...#...#.##..#.##.#.####..#.##.##.#.##......#.###.##..##.##.##.#.#..#...#.#...#.....###.#.#.#.#.#..##.....##.....#...#.##.##.#..#..#####.##...#.#####.#.##.#.###.#.###..#.###..#...#.#.#...#.#....#.......#.##.###.###.#.####.#...####....####.###..#...###..###.####.#......##..######.#.#...##.####...#..#.###.#..######....##..###.......##....#####....##..#.#...##.##.#..##..#.##.###.##..#.##....##.#..#.##.##.##.##.#...##...#.#######.###..#.##..#####.#.#.#.##..###.#.##..##.##.#.##.####.#####...#.#..##.....#####.##.##.....####....#........##...##.#####.####.#.#.#.##.#.#..##.##.##..#..##.##..#######.##.#...####.##.#
.#...##.....#.#.##.###.#.#.####.#####.###.#.#.#...#####.##.#..##...##.##...##.....##..###....###.##.##.##..#####..#..###..###.#.#####..#..#.##....#.....###...##.####...###.###...############.#....##.###...#..#.#..####........#.......#...#.##.....#.##.#......#..##.####....#.###.#.#..##..###.##..####.###.#.......#......##........####.######..##..#....##.##..#..######......#####...#..####...##..#####...#.#.#..#....##.##...##.#####...#.#####.#.#.#......##...#####.###...#...#..####..###.#.#..##.#..###..##.#.#.##..#..#..#..####.#.###.#.####.....#.#....###....#.#.#.#.#.##...#..#..###..#....###.#..##.#.#.#..##...#..#.####..#.#...######.####.....##..##..##.#.#.#..##.#.##.#.#..##....###..###....#..#.#....#.....#.#..###..###.#.#..#.......#...#.####.##.#.#.##.#..#..##......##....#####.#..##...###.####.....#...###...#####.#####..#.#...#..####..#...#...###....#..###.#.#..##.#.#####.##......###.##..##..##.####.#.#...###########.#.#.##....#.#.....###.######.#..###.#..##..###.##..###..#..###.###.##...#...##.#.#.##.#..#..#...#.#...##.##.#.....##..#..#.#.#.##...#..####...##.##...##......##..#####.#.#..#.##.######..#..#..###.....#.##...###.##.#.###..#......###.#..##....####..##..##..###..########.###.#...#......#..##..###.....######..###.###...#.#..##...####..#####.###.....#.##..###.#..######...#..#.##..#..#....#..##.##.##..#.#.#.##.#######.####..###.####.##.#...##.#..#..#.###..#.#.#...#..#.##.##.###.#.##.#######...##...#.#.###..##.#.#.#.#....#...#####..#.#..##...##.###...#.###..###..##.######..#..######...#.#...#.#....#.#.##.#.##.#####.########.....#.#.....#.##..#.####......##.###...##..##.#.#.#####...#.#..##.#...#....#.....####.##...####.##.###.#.#.#..#.#.##.###.#......#.#.##.....#..###.##.#..##..##.####..#..##.##.###.#.###.###.###.#.#.#.#####.#..#..#..##.####..##.####..##...#####...###..#...#..########...####.#.##.#.##.#..##.#......##.#..#...#.##.#####....##.##.##.##.#.#...#.####.#....#...##.#......##...####..######.#######.#..##.#.#.###..##..##.####.##...##..##.#..##.#...###..#....
.####...#.#...#######.#####..##.####.#.#.#.###.#.#.###.#.#.#...#.....###..###.#.##.#.####.##..######..#.#...#....#.#.#.###.#.##..#.#######.####.#.#...###...###.###.#####......#..#.#..#..###.####.###....#.##.#.#.#....###.###.#.#...#.##.#####..#.#...........###..#...##....###..######..#...#.#..##.##.####..##....###.#..#....#..#.#..##.#.##...#...#.#.#.#...###.#.##.#.#..#.#.#..##..#.###.#.##....###.##.#.##.....#.##.####.#.#####..##.#.##..###.######...###....#...#.#.##.....##.#.#.#.#..#.#.....###.##..#..#.######.##....######...#..#...###.###..##.#.###....##...##.###.#.###...#......#.###.###...##.###..#.##.##....#.#..#.##.#.##...##.#.####..#..#.###.#.##....#..#.##..#.###.#....###.#.#####.##.####.##.####.#..#.##..#..#..###.###.##...#......#..###..###..#.##.......###..#..#.####.##..#...#..#.#.........#..#.####..#..#....###..#.#.#.#..##.#..##...#.####..#.##.#.##.###.##....#.#.##.#..#.....##.###....####.#.##..##...#..#..###.#.####...###.###..##.##.####.##..#.#.#.#.#....##.#.##........#.##.##...##....####..#.########.#.#..#.#.##..##....#.##.##.#.#....##.##.####.#.#..#..##.#.#.#...#.#..#..#.#...#..#..#..##.##..........##..#...######...#.##.####..###.#.#.##..##..#....#.#.....####..###..##..##.##.#..##.######..#.##.#..##....##.##...##.#....##.....#######...#...#..#.#...##...#...##...#..#.######....#..##..##...#####..#.#......#.#####.#..####..##...#.#.#.###....##.##.##...##...##..#..#....#...##..####.#..#.#####.#.##.###...##..#.....#..#.#.###..#.###..#...##.###...........###.##.##.###.###.###.#...#.#..#..##..###...#.#..#.#..#.#.##...##.#.#..#.....#..#####..#.##..##.##.....#.######.......##.###...#.###.###..#...####..#####.#.##...#.....#...#....##.#..#..#..###...#.#.##..#.#.#...#.###...###.##.#...###......####..######....#.####..###.#.##.#...#..#..#.##.######.#.###..#......####.###.....##.##..#.#.#..#....###..##....###....#.#...#...##.#.##.#.#.#....#####..###...##.##....#####.#.##.###.#....#...##.#..#.#...#####....##..##.#.##.##.#..#..##.####..#..###########...#..........####.###.#
#....#.####..##..##.#.#...#..#..#...##..........#..##..#.####.##..#...#.#..#.#.....###.#####.#....#.##....#..###.....#...#####....#.#...#.#.#..#.#...#.#..###.###.#.#...####..#......##...#.###...#..#.#..#.........##...##..##...#...#####.#.......##.##.###..#..###.#...#.....##.#..##...#.....#.###...##.##.###..###.#.#.#...#...###.#####..##..#.#.#..#..#..#.#####..##.#.#.....#.###....###.####..#..##.#.##..#.##....#.###..##.#.##.###..#..#.##.##.....######.##.#.#...######...##.#.##.....#.#####.#.......##.####.##.#..#...##...##.#.#.#.##..###...##.##.#.##..#####.#.#.##.#.##........#...#####.#.#...#..#..#.#.##.#..#...#...#.#..#.##..##.......#.#..###.#..###..#..#.#.#####........##.#...#..###.#.##..#.###.###.####.##...##.....#..#....#.##.#.#..#..##.....#..#.#.#.#.#..#.#...#####.....#.#...#...#....#....#.###.#..##.##.##..######..##.###.##.###..#.#....#..#...##.##..#..##.....####.#.####...##...###.####...#...#.##..##...###.#..#..##....###.##.##..###..####.......#.##..#.#.#####.#.##.##..#.##............#.###.#...##...#.....#..#....#.#..##...#######..#.#.......##....#...##.####.#.###..#...##..#..##.#...##.#..#....#.###...#..##.#.....#.#.#.#.###...#...###.##.##.#..#.#.#.....#......###.#..#...##...#.###...##...#.#.#..#..#..#.##..#.##..#.#.#.#.##..#.######.#.##.#####......#####.###...#..#....###..###...##.##########.##.##.#.#.#..##..##.#####.####...###.##.#..#####..###...#.#.###.....#.###..###.#..#.#####.#.##......#######...#.#.####.##..##..##.#.###..###.#..#.#...####..#.##...#..####.#......#.#####.#.#.####....##.####..#.###.#.####.##.###..###.#..##.#.##.....##....##.....##..#.######...##.......#.###.#.##.#..#..##.#...#..#..#...#.#..##..#.##.....#.#...###...####..#..##.#.###..####.###.##.#.#.#...###.####.#######.#.....#..####...##..###.....#.###...#.######.#.#####.####.#####..##.#.#..###....#..#.....#...####..#.#...##...###.###.........#.#####..##....##.##.###.###.##.#..#..#..###.###.##..####.#....###.####..###.....#....#.#.#..####....###.###.#....##....##.##..#...##.####.#....#...##.#
.#.###.#.###.#..#..##........##.###...#.#.##.#....#####..##.#..###.#.....#....#...###.#..##....##..##.#.###...#.##.#####.#.#.##.#.#.#....#..#.#.#..###...##..#...........##.#..##..##...#######.#.####...###.###.#..#.#.....###.#..###..##.#...#######..#.#...#..##.##...#....#..##.#..##..#####.##.###.....#...##.##..#..##....####.#.#...#.###..##.##....#......####..###.....#..##..##..#.#.##...#..#.#.#.###.########...###...##.####.###..#.#.##..#....#....#.##.#..##..####.##.###.#.#.####.######..#...#.##..##.#..#....#.##.#####.#.#.....##..##.#.....###..#....#.#..###.#.#....##.####.##..##..#.#..##....#..#..##.###.##..##.####.##.....#.#.#..###..#####.#.#.......##....#..#.##.#.####.#.#.#.##.#...##..##.##.#.#.#.##..###.#...#...##..###......###.####....#.##..##.#####...#..###.#######...###.#....###..#.###..#.############.#.#..###.####..##.##...#.#.###.##..##...##.##..#.#..#.#...##.##.#.....###..#...#.#..###..#.#####.##.###....###.#####.###..######.....##..##...#...##..#...#.#...#.###.....#.#.#..#.#.#..#......#....####.#...#..####.##.##.######.#.##.#.##...#####..#.####.#.....#..#..#.#.#.##..#..###.#####.#..###.####.#...####.#....#..#..#.##..##.#......##.##...##..##.#.########..#.#.###..#..#.#....#.##.#####....###....####..#.......####..##.#.##.#..#####....##...#####..#...#.##.##.#..##.#..#######.##......#.#..##...#.##.####.##..#.##.#.##.#..#..#.#....####.##..#...#####..##.#######.##.#.#.#.#.##.##..#..#.##..##....######.##...#...#..#.#.##...##.#####...#...#.#.....##...#..#.####.#.###...#...#####........##.....##..###...###...##.#.#.#.#..##.#.######...#..##..##.......#.....##..#.##...#.#.##.####....#...##.##...###...#..#.###...####..#....#..#####.##.#..#....###..##.###.#..#..###.###.###..###.#...###.###.##.......#.#..#.#.##.###.#..#..#..#.#.#.###.###.###.##..#...#.#.#..#.##..#.#.#..#.#...###...##.##.....###..#...#.#.###.##..##.....##..##.####.#..##..#.#.#.#...###..##.#....#..#..#####.#.......##...#..#..#.#...#..###..####..#...##...........##.......#.#.#..#.####....#.#.##...#...#..####
#.#.#...#.#.#...########..###..###.#.#..#.##...#.#######....#.###.####.#....##.###..###.#.##...###.###.#.#.##..#...#.###..##.....###.#..####...###...#.#.#..##.###..#..#####.##.#.#..#.#.#.#..##.........###..#...#.##....#..##.....##.####.###.##.#.##.#...#..######..##..#.##.###.#.#...#....#..#..#.....#..####.#.#.##.....##..#..#.#.#.##.#.#..##..###..###..##.##..###.##.#..##...##.##.#.##..##.##.#.##.....##.......#.#.#...#.....#.###..##..###.....#.##.#####.#.##.......####.#.###.#.##..#.###..#..#.###....#.##...#....#....##.##..#.#..#...##...#.##...#.####..##..##.......#.#.###..##...##...#.#.##.....##.#.###...##.#.##...#.##...#..#.#.#####...###.......##.#..#..#.#...#######..###..#....##.#.....#.#.#..#.#...####.##..##.##.#.#####..#.####.####..#.#....#.#....#..###..###.#...#...##..####..#.#####..##.#########.####......#.....#.#....##.#.##...##.##..#....#.#..####...#.#..#..#.#..##.#..#.....######..#.#....#.#..#.##...#.#.#...##.###.###..##.##.####.######...###...#...#..#.#####..#.##..##..#.##.###.##..##.#..##.....#.##.###...#..#####..#.####....###...#.#..##.....#.##.##.###.#.####.##.###..##.#.#####.###.....#..##...#..#..###.##.....####.#.#.#..#...#.#.########...####.#.#.#.######.###.#.#..#.###.##..#.#.##..###.#...##..##.####.###.#.#......###...#..##.#.#.#....#....#.##...###...######.#.####.##..##.#.#.#.#....#.#####.#..#.#..#.#...######....###...##.##..####...#...##..#.....#...#......#.###....#..###....##...#.#..####.##..######..##.##.#####...#.....#..#.#..####..#.....##.##....###...#..#..##.##.###...##.####.##...##..##.#..#####.....#..#####...#.#.##..#####..####.....#..##...##.##........##.#..#####..##..##.#.##..##.####.#..#..###.#...##.........#..#.#...#...#...#....#..#.#####..#######.#....##.#...#.#.#..#.##.#.####.#..#..##.#....#....#..#.#...###.#...###.##..##.###.######...##.#..##..###....#######..###.#.....#.#....#.#..#.####..#.#.....#.###.#..#..#.###....##...###....#.#####..##.##.#######..####..#..#.#..#...#.#.....#..########....#.######...#..#...##..##..#..##.#.#..#.#..##
#######...#...###.######.#...#.#...#.##.#......#.....#.##..#.##.##.##.##...#.#..#.#.#.####.#..###.###..##.#.#.....##.#######......#.#..#.###.###.#.#.##...#####.##..##.#...#....##.#...#####...####.##...##..#..#..#.###.##..##.#.#.###..#...#.#...#.#.....##..####.##...#.#..##.#...##..#..##...##..#..#.#..#....#..###.#.......#.#.##..##..##.##.###..##.#..####.#.#####..#.#...##..###.#..#.##.##.#.#....####.#####..#.##.#.#####..#.#..#.#.##.#....###.#.####.#.###..###.####..#.#..##....#..#...#..#.##.....##......###.....##..#...####...##..##.#..#.#..#.#..#.#.###.....###.....##..##.##.#.#####..##.##.#..##.#...#.#.#...##...#..####.#...#......#.#..##....#.###.#.##..###.#####.##..######.######.#..##......##.##..#..#..####.#...##..........#.##.#..#..#.#####.#...##.#.####.#.#..##..##.#.....#.#..#.##.#.##.######..#.##....#.#.###...#.##..##.#.####.##.#.##...##...#.##.#..#####.#.#.##.#.##..###.###.##.#.##..#.###...####......#..#...#..#...##..####.#..####...##..####..#####.#..###....#.#.##.######..######.##.#....###.#.#.##.###..##.#..##..#..##..###.###..###.####.##..#.##..#.#.#.##.#.###..##.#..###.#.##..#####.##.#.#..#.##..##....######...##.###.###.#.##...#...###.#.###.#.####.##...##.....###.#..#.##..##.##..##..#..#########..#...###.#####.#......#.....#..##..##.#.###.#..#.#.#....##...#.##...#.##...##..##.#..###.#.##..#.#....#..#..#.#.#.###.####.#...#..##.....###..####.#####..#.#....#.#..#.#...#.#..#.....#.##.###.#.#.#..#......###.##..#.#.###..#.###.####.#.##.###.......#.##.##.#....####.#...#.#..#####.#..##........#.##....##...#.#..##..#...#...###..#####..######.#.#.#.##.####...#...##.##..###..##....##..##.#.#..#.....###.##.#.#.#..#.##.###....##..#.#.#.##.#...##..###..##.#..#..###..#..###..#.#.##.#.###..#.###....##.#.#..#.#..###.###..#.....#.##..#.#.###..#.##..#.#.##.##.....##...##.#.###.##...######.#...##....###.####..####.##..#####...#.#........#.#....#..#.#.##.#####.##.###.###.#...##.#...###..####.###.###...#..#######.###.#...#.#...#.#.#..#.#.#.....##..#......#.#........###...#.##.###.#
.#...#....#....#..#.#..#.#####...###......#..#....#.#######.#..#.###....####...##.###.##.###.###.##.#.#.#####.###..##..#......#.#..#....##..#...#.###.#.##.###.#.#...#...###.##..#..######.#.##.###.####.#..#.####...#...#...#..####..#...#..#..###.###.#####.#.#####..#####.####...##.#.....###.....###...#.##.##.....#..##.##..#......#..#.#..#.....#.#...###.......###..#..#..###.#.###..##.##.###...#.##...##..#..##..##..##..#..#.##..######..#..#..###...#..#...##.#......##....#.#....#.#..####..#.#..#...##..##.###.##..#.#..##.##...##..#...######...#...######..###...#.####.#..#..#.##..#..#....#...#.#..##.##.##.#####.#########..##.#.#..#.#.###.####..###.#..#..##.#...##.##....##..##.#...######.########.#.#....###.......#.#.#..##.####.#.##.##.#.#.##.#......##.#....#.#.###.#.###.##.##..#.###.#....#...#.#.#.#...###....##.###..#..###..##.##...###.##.#.#....###.#..##..#.#..##.#..##.#######.#.#.#..###.......#..#####.###.##.....##.#...###.#.#....#.#.#.#.####.#.#.#..##.#....##...#####..###.#...###.###..#.#.##.##...#...##.#.###.######..#...##..#....#####....###.####..#.#.##..####.##.#...#######.#.#...#.###.###.#..##..#.#..##...#.#......##...##....#####.#.#.###..#.....#.###...#...#...###.#..#.#...#..##.....###.#.##.#...###....#.##.###.########.#..##.#.#.##.#.#...#.###.#.###...###.#.#...###.#.....##....##.#.##....##..#.##..##..#..####...##..####.#.#....##.#.##..#..##.#..#...#..#.##.##...###.##..#....####.#########.......##......#..#...###...##.#.##....#####.##.#.....#....#..#..#....#.#.##.#..###.....#......#....#.##..#.#####..#.....#...##.#..#.#.####...####.###.##..#.##.#.##.#.#.#......##.#.########......#..#.......#..#....###.#..#...#.###.#...##.###..#....##..#.#...#...#.....#....#######.#.##.....#....##.##.#####...##..#.####.##.#.#.###..#.##..#.#..##..#...#####...#..##..##....###.#######.#....#..#####...#.....####.####..#...####.#.#..#.###.#..#......#...#.##..#.#.#.#.#..#.###..#....#...#..###.#.#.###.#..#.#....#.##.###....#.###.#.###....#.#.###.#.#..#.###.#..##.#.##...####...#...#.###...#.
#.#.#.##.#..#...###.#....##.#..##.###.##.#...#...#...#.########.#..##.#.###.##....##.#.#...###..###.#..#.##....####.#...#..##...###..##...##..#..###.##..#.#.#.#....#...#.#.##.#...###..#####..#..#.#.......#.####..#.##....#.#...##...#...#...#..##..##...#.##.#.#..#.#...#..###...####.#.##.##.#.#....#.#..#.#####..###.###.#.#....#.#...#....#.##.#..#.###.##..##.##..####.#...#....##..#..###....##..#...##..#.#.###...#.#.#.#..#..#...#..#..#.#....#.##.#.....#...###...#....#.##.#..#....#.##....#.#.#.#.##.#....#.##.#####.#..#.....##.##.###.#####....#..##.#.##..#.#####.#...##...#..#.#..#.#..#...##.#####..####..##...#.##...##.##..#####.##...#.###......#.#...###...##..##.#...#...#...#.###.########....##...##..#.##.#..#..##.###..#..#.#.####.###..####.#.#.###.#.#.#...#.####.###.##..#.#....#..###.#.....#.#####.#.#...#..#..###.#..#####..#.#.#.#.#.##...#.#....##.#.#.#.##.###.#...####.####....##.#..#.#.........##.#.###.#..#..#...####.###...#..##.#......##..#..####.#.#..........#...#..###.........#.##..#.###.#.#...#.##...#.#.#####..#.#####.##..#..##..#...###..#.#.......#.#.#.##..#.#...#####....#.#.##.#..####..#...####......###.##.#.##..#.###...###.##.#...##.#.###..#.#..####.##.##..##.#####.#..#...######...#.#...##.#.##.##..#####...###......#.#.#...#..#......#.##...##...#...###..###..#..#.###.##.......#.##..#...##...#.#..#...##..#....###..#...##...###.#.##.##....##.#..#####...##.#..#..#...#.#.....#.###...#.###.##.....#..##...##...##.#.#......##.#....###...###..#.#.#..######.##..#.##.#...####..#..####..#...#.##.##.##.#.#.###..#...##.#....#...#.#..##.#.#....#..###.##.#.#.#.......#.....#.####..#..#.#.#####.##.#.#.##..#.##...#.###...#.#.#...#.......#.#.####.#########.###.##...#####.##..##.####.....##..#..##..##...#..#......#...#..#...##..##.##.#####...#.#..#.#####.........#.####.#.########......#...#####.#...#..##..#.#.#.......#######.###.##....#.#....#..#######.#.##.##...##...#...#...##.....####..#.###.#..##.##..###..###.#.##....##...#.##.####.####.#####.#....##...#.######..#..####..##.##..##
#....##.########..#.....#####....#.#.##.....##...##..##...##...#.#.####..##.#..##.##.#..#...#.###....#..##....#.#..#..##..##...#.##.##......##.....##.#.#.###..#..#...#...#..###....#.###.#......#.#.#...##..#####.#..####.#.###.#####...##.#####.....#.....#.####..###..#.##..####.#....#.....##.#.#..##..##.##.....###..#....##.####..#.#.#.##....#.###...#.####.#.####.#..###..#.#......#...#.#.##..#.#....###..###..#..##.#..##..##.....####..#####.##..####..#....#.#.#..###.#.#.##.#..#..###.###.##.#...####..#.......#..#.##..##....##.......##.##..###.###.#...##..#.##...####..##...#.#.###..#.#..##...#....##...##.#....#..#...#######...##.....#..#..#.###.##.#.##.....##..#...##..##.#...###.#..#..#.#..###..##.####..##..#.##.#..##.#######.##..#..#.####.##........###.#.....#####.........#..#....#...#....#..#......#.###.#.#.#..##..#.....#..#.#####...##..####.###....##...#..####.##..#.###.....###.##..##..#.##.......#.#..##..##.#...###.##.###...#..#..######...####..##......#...#.#.#.#.##..#.###...#...#.#..####..###..#..#######.#.#.####.#....######..###.########..##....#....#.##...##.##..#####..##..#....##.#.#.....#.##..#.#..###.#..###..#.#....#######.######....#.###.#...###..##..####..#.###.#.#..#....##..#..#..###.#.#....#.##.###...##........###.##...##.#......#....#..#.#.#.##.#...##.#..#..#......##..#....#####...#.###..####...##.#..##....##......#..###.....#....###..#.##..#..##.#.#.####....####...##......#..####.###.###.#..##..##....##.#.#..#..#....##.########.#...#.#.######...#.#.#..##.##...###.#...#.##.#.###.######.##.#.##.##..#####.........##....#....####..##..#.###...##.......#...###.......##....#.##..##.#.####.##..#..###.##...#.##....##.##.#..#.#.#..##..#.####.#...#..###.#####.....##....#....#....#..##..##..##.##.#.###.#....#.##.#.####.####.#...#...##..###.######.#####...#.##..##..##.##...####...###..##.#..#.##.##.#.#.##...##..#....#..#.##..#.##..###..##.##.#...####.###..###.#..##....#.###.....#.#.##.#.#...##..##..#..#..##..#..#..#...#..#.#.#.#####...####.....#.#.##..#..##.##.###.#..
#.###...#.#.##.....#.#.#.#####..#.#.#....#...#.####....#.##....##..##.#####..#....#..###....####.###.#.#.#.##..#####..#..#..##...##.###.#.##.###.#..####...###..##..#...#...##..#.#.##..##..#.####..###.####.#.##.##.#.#.....#.####.##.####.###..##.#...###.#.#.........#...#...#....####..#.###.###....#####.#######..###.#..#.###..###.##.##..#.#.#.######.##.#.##..##.#..#.#........###......##.....##.#..#...##.##.#####.######.##.##..#.##..####..########.#..#..##...###.#.#.####..###.#....##.#.##.#..#.##..####...#####.......##.#.#...##....####..##.#.##...###.##.##...##.#.....######.#.....#.##...#.....##.#.#.#.#.###..###.#.####.#########....####.##.....#.##.##.#..#..###.##....###.##.####..#.#.###.##.#.##.....#....#.#...#..#.###..##.#.###.....#..#..#.###.....##..##..#.#.#.###..#...#.##.#.##..#.##.###.##.##.#..#.#..#..##.##.####..#.........#.##.##.#.#.#..#.###.....#...#######.##.######.##.##..#..##..#.##.#...#..#.#..##.##.#...#.##...#.##.###.#.##.#.#....#...#..#####.#.##..###...#..#####...###.#.#..##.#####.#...###.....#...#.#.#..####.###.##...##....#..##.##..#....#....##.#.#..#...##......#...#.#.###.###.#....#.#.##.#..##.#.#.###..##.###.#..#...####.##...#.#..#...###..######..#.###....####.#...#.......#....###.#.###....#....###..###..##...#..#...###....#..#...###..##.#.##.#####.#.##..#..#.##..#.##.#..#...#.#.#.###.#.#.#.####.##.###.#..######.#..########.###.#..##..#.#.......####...##.######.##..#.#...##..##.#..###.##.#..###......##.##.........#...#.#.#.#..#.#..####....#.#..#.#####..##.#....#..#.#..#....##..##.###.#......##.#.##...##.#....#...#####...#.#.##..#.#.#..#..#..#.#...#.#..##.#...#.##.#..####.#....#...#.###.##.###.#.#...###..#..###..####..######.##.##.######.#.##...###.###.###..#####.#.#..#.#...###.##..#.###..##....########.#...#######.#..##.#..#.....#.#.....##...#.#..#.#.....###..##.#......#.##.....####.....##..##.##.#......##.#..#....###.#...##.#.#.#.##.####..#.###.....##.##...##..##.#.####...#.###.#.#.#.##.#..#..##.#...###.##..#.##.##.##..#...######.....##..####..##...##
..##.#.#..#.#.###..#..#.#...#####.##..#...####...###.##..#.###...##.######.#.##....#........#.#.#.######.#####..##.#.###.#####..#####..#...#.#....###..#..##..#.#....######..#..####.###.#..#####.##.#..####..#...#..##......#...#..#.#####..###.#..#..###.#.##....##..###..##...###.#..######.###.#......#......#.####.#......#....###..#.###.###.##.##..#..#..#.##.#.##..#####.#####...###.##.###.#...#.#...##...#..#..###.###.......##.##.####.##.#######.#........#..#.#.#.####.#.#..#.#.##.##...#..#..##..#.#.#.###.....###.......##.....#.#...#####.##.#....#.####.#.....#..##..#.#...#..#.#.#.#####.###.#..###.##.......####....##.##.#..#.......#....#.#.##.#.##.##.#..#..##..##...#.##...##..###.....####.#.#...#######.##.#.####....#######....#...##..##..#.##..####.####...#.#...#....##.#####....##.##.#.#..#.#######...#..###.#..###...#..##..####..##.#.###.#.#.#..##....#...#....##...####..#####.##...##....##..#..#.##.#....#..##.##.####..#.##...##.#.#.####.###...##.#..#####..##..###...#.##.##.#.#.##..########.#..#..#..##.#...##.##.#..###...#.......#......###..#.......##..#.##.#...###.....#..#.#.##..##...#.#.#.###.##.#....#...##......#.###..###.####.#...#..##...#.###..###...#...#.....###...##..##.#...##.#..#...#.##..#..#..##.#.#...#..####....###.#.##.#.#.##..#..##...#....#..##.##..###..#..###.#..#.###.#.######.....##..####.###..##...#.#.###.....####.#..#.##....#.#.##.#.......#.####.##.#.#...##.######.....#..#...###.#.####..##..#####...########...######...#.##...####.##..###..#.#.#..##...###.#.##..#.#.#.##.###..#....####....#.#.##..#######.###..#.##.#.#..#.#.#.##.##..#.#.#.#.###...#.#.##.....#..###.##.#.#..######....##...#.#.####..##.#....##..##......#....#..#.#####.......##....#..######.#####.##...#...####...#..#....#.#.....####...###..#####.#.#.....###.#...#.###.###.##.###.##..#.##.#..##..#..#.#.#####.###.###...#.#.#.######....#..#......##..##...#..#..##..#.....#...#..#..#........####..#.#...#..#....#.######.###..#.#..#..##.###.....##.#######.#.##..##########.#..#.##..##..##...#..##.#...#.###
##..##.#......#....####...####..##...##.#..#.#..#..##...#..###..##...#..#..###..#.####..#..#....##..##....###..###..##...#.#.#.###.#.#....##.##.######..##.##....#.#..#..#...#######.####....#.#.##.##..#....##..#.#.##.#####.###..##..##.#.##.##.#.###...##..###.....#..##..###.###.####..#.#.#..######....#...#.####.##.#...#..##..####.#.#..#...#.#.###.#.#..##..#.##.#...##.###.#...#.#.#...##.#.#...#.##.##...#...####..###.#....##..###..##.###.#.#...###....#...#...######..#..#.#.##.####...#...##.###..#...#.##..#.##.#.#..#.#####..##.#.#..#.#.#.#####.####.....##..###..###..#..#...#..#.#.#.#...####...#...#...#..#.##..####..##.###.#.##.#...#.##.#.##...#..#.#.....#######......#.###..##...#..##..#..#..##..#####.#...#.##.....#.####..#...#..####..#.#.#####.##.####....#...##...####..##.....#.##.######.#.#..#.##....###.#.##......###..#.########.##..#.#...#.##.#.......####.....#.#.#..###..##...##...#..#..##......#..##.###..#......#...#.###.#############.####.#.####..#.#...#.#.#..#..##.#.#....#..#.###.....###.#..#..#.#.....##.#.....#.#.##..###.#..##.##.#..#.#..#...###..#.####..#..##.#.#.##.##.#..####.##.#.....###.#.##.##.#..##...........##.#..##.#.#####.###.##..##...##.#.#...#.######.#...#.######..#...##..#.....##..#...#.#.##..#..###.##.#...###.#..###..##.######.##.##.#.....#..#......##..#.#.#....##..##.####.#.#....#..###.#.#..##.#...###..##.#.#..#.#.###.##...#.##.#...####.#.#.##.#....#.####.#.#.#####.####..#...##.####...#.....###...#.#..#..####.#..######...#.#....##.#####..#..#..#.##.#...###......##.#..#.##.#....###.#.##...##...###..#....#####...##.##.##....#..#.#####.####...#..###.#######.####.#.....#.#....##..##.....#.##.###..#.##.######..####..##.#..##....###..###....##..#..##....#.#.#..##.##.###.#.#....#.######.....##...###..####...#.###........#.###....##..#.###.##..##.#.#...#.##.###...##.#.##.#.##.#..#.......###.#..#.##.#.##.#.##.####..#.#.#..#....#.##.#.#.#..#..######.###..#.#.##.###.#..#..##.#.#..#....###.##..#.####.#####..#..######.###.#....#####.#..###......####..#.#..#.#.##.#
..###...###.###.#.###.###......#.#..####.###....#.##......#.#.##.###.#..#.#...##.#..#...#..#.#..##.##.##....#####.#.#...#...##.#..#..##..###.#...#.##..##.....##..#...#..#..####.###..#.#...###..##..###.##.#.#....##.#...########...##.#..####.#.#.#...#.#...#..#.#..#..#.#.##.###..####..###..###..#.#.###.##.##.#.#..##.#...####.###.##..##..#..#.#.####.....#.#.#...#..#.##.######.#.##..###.#....###.#..#.######.###.###..#..###.#####....#..#.#.##..#..#.##.##..#.###...###..#......#.#.##.#.#######...##..####.##.#.##....###.##.#..##.###...#..#.####.###...#..#...#.#.#......#.###########..#.....###.#..#...#..##.###...#.#.#.##.##.#.###...####..###.###..#.....#.##.....##.#..#.#.#....##.#..##..#..#.#.##.##.####.###..######..#.#...#..##..#.....#####.#..##.##..###.#.##.#.##..#####.#.##..###.##.#.##..#####.##.####...#####.####..#....#.#.#..##...###.##..##...###.####....##.##.##..#...###.###.###.....#....###..#..######.#.....###.##..#.###..#....####....##.#..#.###......####.#.#.###.##..#.#.#...#.#####.###.#..#.##....###..#..#.#...#.....#..##.#..#.###......##.####.#...####.#.##..#.###.....#####..###.#.#..#.#..#.##.##.####..#.#..#.#...#.#.#.##.#.#....#.#....##.##..#.##.##.##...#.#####....####.#..###..#..#..###.#...#####.#...#..##.#..##..##..##.#.#.##.#.#.##..#.##....#.#...#.......#.##....#.#...##..##...###..##.##..#######.#...#.##.###.#...##.#.#.##.##.#.#..###..###..#..#..##...#...###..#.###...#..##..##.###..##.#.##.#..#...##..#####.#####.#...##..#..#.##.#...#.#..#.....##.#...###...#.#....##.#####...#....#.##....#.#.###.##..##.####.#.#.....#..####...#.#.#.##.#.#.##......##..##.......#.#.###....##.#...###.##.#.........#.####..#.##.##.#####.##.###.##.####...##.....########...###.####.#######....###.####.#.#.#..#.##..#..#####..#.##.##.##.##..#.#..#...##.##.####.#####...##..##.###.#.##...#..#....###.#.#####..##.#...#.##..#.##..##.#...#...#.#..####.#.....#..#.........##..#..#####..######...###.....#...#.##.##.######.##.####..##.#..#...#.#.#.#.##..##...#.####.#.#.#.##.####.#.##.####.##..#...#.#.
.#.####.#.##..#.#.#.##..###.##.#.#..##.##....#####...###...#..#..........#.#.#....#.###..##.##.#.#.#..##.##.#.##..##...#.#...#...#.##.#####....#..###.#.#..#.###......#...#.##.#...#.#..#..#.##.##.#.######......#.##...#.###.#.##.######...###..#...#..#...#.##.#.#####.#.###.#####...#..###.###..#.###.###...###..#.........##......#.#####.#####..#..#..#.#.#####..#..##.##..##.##......###..######.##...#..#.##.######....#...#####...#...####.#.####.###...#.......##.#....###.....##....#..#.##...##...##...##....###..#.#..#.#.#..#.........####.#..####.##.##..###.#.###.#..##.##.##..##.##.#.##.###..#.#.###..#..####..#.###..##.###..#..#....#.#.#...##....#.#####....####.##.##.##.##..###..##.#######.....#.########.#.##.##..##..##....####..##..#.#.#.#..####..##.#...###..#...#.#.###..#.##...#..#..####..#.....#...#.....##..#...#.#...#..#.#..#..##.##.....#...###.#...##.###..###.####.#.##.....###.#.######.#......##..#..###.##...#.###..#........#.#....#...#.##.#..###.....#.#....#.##..###..#.######.##...#.#...#.#..####.#...#..###..##..##.#.....##.#.#.##...#...#.#.##..#..#.#.###......#.###.#.#.#....###.#..#.#.#....#..###.##......#.##.#.#.##.#..###.##.#..#.##...#.###..##.###.##..#...#..####.#.##.###......##.#.##...#.....#.....#..######.##.######.#.##..###.....##.#.##...#.#.##.##.##..#.#.#...#.#..#.........#.######..#.####.......#.##.#.#.##.##..##..####.###...##....###.##.##......####.......#.###.###..####...###.....#.#.####.#.##.##...##.##.#..#....#.##.##..#.####.....######.....##..#.#.#.....#.##.#..#..#.#...##..##.###.#.###.#.#.#.#########.#...#.####.#####....#.#.......#.#....#..#...#.###.#.#...#..###.##.#...#.##...#..#..#..##....#.#......###.#.###..###.##...###.#####..####..#.#.#.##.###.###..##...#...#.###..#.##....###.##.#.#.##..#####.#...#..#...#....##.#####.#..##...##...#####..##.#..######..#..###..######..#.#.#.#...##.#.##...###.#.#.###.##..##.###.#.###..#.##.....##.####.#.#....#..##.###..####.#.##..#.##.####.#.....##.#.##.#..##.##.#.#......##.#..#.#....#.#..##...##..#.#...####...#.#.###
###.##..####.###..#.#..#.#..####.##....##.#........###..#......##.....####.#.....#.#..#..#.#....#####...##.#.######.#...#..##..###.#......#.#####..####....##.##.#.##.#.##.###.##.##...##....#................#.###..#..###..#.#.##.#.##.#.##..###..##...###.#######...#.#.#...##.#.#..#.#.....#.#..###.#.#..#..#.###.##..#..#####..##.##.#..##..##..#...##..........##.##..#####.###.###...##..######.......####.##.##..####...###..####.#..##.#.......#...##.#.#.#####.##...##.##.###.##.........#.....#.#.###.#####.##.#.##......##.##.#.##.#####.#####.##..#.#.#.#.###.###...####.#....#####...#.#.#....#####.#.##..##...####...##...#.....#...#######....###.........##..##.#..###...#..#.#...####....#.##......#.#..#.####.#..##..#.####..###...#.#.###..#.#.##..###...#..#.#.#.####.#.##.#.####.##.###..###..#...#.#.###..##.#.###..#.##....#####...###.#......#.##...#######.#.##.#.#.#..###...#..#..##..##....#..#.#.##....#.#.####...#.#.##.##....#.#.###.#..##.#.#.#..##.#....#..###...######...#..###.#.....#..#.#...##..#.###...######.#.##.....#...###.####.#.##....#..#.#.######.#...##.###.##...##.##.#.#..#.#.#.....#######.#..##.####.##...#.##.####.#.###.####...###.#.##...##.....##.###.##.####..#..#.##....##..#..##.#....####...#.####..##...###..#.#..####..##..#...#...####..#####.###.###..#.....###.....##..#..#.####..#......##.#...####.....#########..#######.#...####..#.#.#.#.##...##....##..##.#.#...#.###..####.###.#..#.#..##.#..###.....##.#.##.#.###.##..#..#.##.#.##.#.#.##.#.##.##..###....####...###.########.#.##.######.#.#.#......##...#.#..#.##..#.##..#.#..#..#.##.#..#..##.###.###..########.####..####.....#.#####.##.#.####..#.#....########.#.##.####..#...#.#...##.#...#.#.##.#####.#........#.#.###..##....#.#.#.##....###.##.#.#...#....#....#..#.#..#..#.#...#..###.#.##..#.....#####.#...#...#.#....#...#.#...##....##..#.##......#.#..#....#..##.###.##....#.......##.#...#######..#...##########.....###.##...#.##.#..#...#.#..#.#...#..#.#######......#######.####.##....#..##..#..#.#.#......#.#.##...#.....#.##..#..#
#..###.#.#.####.....###.#.#.########.##..#.....#####..#.....###.###.#.#..#.##...##..#.#.#....##...#.###.##..#..##...#.#.#..#.###.#..##.......####..#....##..#..####.###.#.#.##.####.##.##.#..###..#.###...#..##.#.#####...###....###.#.##...#....###.#...#..#.####.##..##.##.#...##....##..##.##.#..##..###.#.#...##.##...##...####...###...##.#..##.###...#.#..#.....####..##.#.##.#.##...###.#..##.#.....####.####.#....####..###..#####.#..#.####.####..###....####.##..##....##.###..##..#...##..##..#.#.....#.#....#.#.#.#..#..##.##.#...##.##..##.##..###.#.#..#.#..###..###..#..#...#..####....#.#.#.#.##.#...##.#.#.#.##.##..#..#.#..#####....#..###.###...###.#....##...#######...#.###.#.#..###...#.....###.#...#.###.#.#####...#..##..#.##.#..###....###..#....#.#...#.#..####.#####.#......##..##..#.#.##.##.#.##.#..#.##.#...###..#....##..##.###..####.###...#.#.#....#..#####...#...#.###.#....##.#####.#.##..###....####..#...###.#.##.#########.........#...#..######.#...#.....####...####.##.#.##.#..##.#..#.#.#.#....##.##.#....#.######.####.##..#...#...####.#..#####.#..#...#..#.........#.......#..#..#.#...#....#.#..#.#.##..#..#..#...##.###..##..####.##.#.#####.#.#.##..#...#.#..##.##.##.........##..#.####.#.#.....#..##...##.#.#.#....####.#.#.#..#.###.##..#..#..#.#.#..###.#..#.....####.#....#####....##.....##..#...#.#...#..#.###..##.###..#..###.#.#.##.###.....##.#.#..###..#..#.#..##.##########..#.#..#...###.##.#.###..#....##....###.#.#.#.#.###.##..###...#...######.#.#...#..#.#.#.####.#...###.#.##.#..##..####.#.##.##.#####.#..####.##..###.#.##.#.##..##.#.####.##..#####.#...#.###.##.......##....#.#######.#..#..#.#.#..#.#.#..##.#.#####.##....#...##.##..##.###.#.#.####...#...##.#.####.#.##.##....#####...##..####...#...#..#...##...###.##.##.#.##..#.#......#.#.##.##.##....#..#..##..##.##..#.###..###..#..#.#..#..##....#...###....######.###.#.##..#...#####..#..###.#..#####..#.##.....#.#.#......######.###.......##.#..#..###.#...###..####...#.###.###..##.###.#.#.#.#.###..##.#.#.#..#..#.##...#.....#.###..#.##
#....##.#...###..#....##..#.#..#.#..#..##.####.##.########.#.#.#.##..####.##..#.#.#.#.###.####..#.....#.##...#####..#.#...###.####..#######.....###.#.####.###.....#.......##.###...#....#.#.##.......#.#..##...##..#..##..#####.###.#####.##....###.###....#..#....#.##..#....#...######..#.#.#..#..#.#.##..#..######..#..##..#...#..###....#..##...##.#.#.#.##.#.......#.#.##.##.#...##..#.#.#.#.#.#..##.#...#...###..##...........#...#.##.##.##..#.##.##.#.....#...#.......#.##....#...####.#.#..#.###.#.##.##.##.###..##.#....##.#.#...###.#.##....###...####.#.#.##...#####.##.##.##.###..#...#..#.###..######.....#..##.......##.#...##...#....#..#.#...##.###.#.#####..#...#..#.#...#..#..#.###..###.##.######...#.#...##.#.#.........#..####.#..###.####..##.#.#.#####..####.#...#...#.....########...###.##.#...###...#.##....####.##...#...#.#####.##.##.#...#....###...#.##..#.##.##.#......##..##..##..#..####.#.#...#.##.#..##...###..#..#........#..##.###..##.###..####.##...#.####.#.#.#.###.###......###...#.##.##..#..#.###..##.#####...##.#.#..#.....###..#....#.#.#.#.##..####.#.#.##.##..##...#.###.#...#.###..##.#.#.##.##.#.###.#.#..#..#.##...#..#..#.###..#............####..##.#..##..##..#.#..###....###..#.#.##.#..##.#.##...##.#####..#####..##.......###.###..#..###...##...#######...#.....#.#.#.#.#.##...#.##...###.#.###.#.##.#....#....#.###.######...##.##.##...#####..##.#...#####.####..##.##.##.#.##..#.#.##....#.#..#....#.#..#.##.##...##.#.#..#..#..##.#..##.#.#...#.###..##...#.###.#....#...#....##.##..##.####.###..#..#####..#.##.#.#...#.###.##....#.##...#.###.#.###.###..##...##..#..#.#.###.....#.#######.##..###...#.#..#...........##.###.###..###.##.###.#...###....####...#.#..#..#....#...##..####..######.#....#.#...#....##.#.#.##....##.....#.#..##...##..#.##.##.#.#.#.#####...##..####..#.#.##.#.#..##.#...####.#..###.##.#..#....##....####.#....######.#...#.....##...############.##..##.##..###.#####.####...#.#####.#...####.##..##.....##..##.#.##..###.##.###.###...####.##.##...#.#..##.....##.#####..##.#.#
#..#.....#.....#.#..#......#...#...#.##....##.####.#.#..##...#.##..#.##..#..#..#.#....######.#########..###.##....#...#..#...##.....#.#.##..###.#..#.#.#..#..#.#...#..###.#..#.###..#.##...##.###..#.#.#.##..##.#..##..#..##...###.#.####.#.#.###...#.#...##.#.##.#######...###.#.####...#.#..#.##...##..##.#.#....#......#..#####.#.##....###.#.#..#.##.##..###.##...##.###..###...###..#.#..#.....###......###.######..##..###.......#...####..##.#....##.#..###.#.#.#.#.##.....#.##..#.#.#..#.####.###..#.###...##.######....#......#...#.#...#####....#.##.#....#...###.#.##...#...##..##....#.##..#.#.#..#..#.#####...###...#....#####.#.##.#####.#.##..###...#...####.#.####..#.#.##..#..#.###.#####.#.#.#.###.#.#####...#..######..#.###..#.##...#..##.########.#.#######..#..#.#.......#..##.#.#.##....#.##..#.#####.#..#.##.#..####.###.##.#....#####.#...###..##.#.##......#.#.#..#######..#....#....###...##..#.###.#...#..#..####..##.##..###.#..##....#.#.#...#..##..##......#..#..#.###...#.....#..####..#...#.##..##.#..####.#....###..#.##.##...##..#.##.#.####.#..#.#..#.##..#.##...##..#.##.#.##..#.#...###.#.#....#..#.####..##.....#.##.#..####.###...#####....#.#.##....###.....##.....#...#.##.#.##.#####..#.#....#######..##.###..#.####...###.##.#..####.##...#..#.###..##...#..#..####.#.#.#...#.##...##....###.....##...##..######...##.##.##..##..###.#...####..#...##..##.##.....#.###.#.##.#.#..##.#...#..#..##..#.###.##..#.####..#.#..#.##..##.####.##.##.#####..#.#....####..#..#.#..####.#..##..#....##..##...#....#.#.####....##.#.....#.##.#.#..###.###..#..#..#...#.#####.#.#..#.#..####...#....####..##.###.##...#..#.#.#...#..#...##.#.#.###..#.#..###..#.#..##..#.###....##..##.##.#.#..#.#...##.#.##..####.##...#..##.##...#.##....##.##..##....#..##.#.#.####..#..#..###..##.###...###....#.#.###.##.####.#..#..##.#...#..##.####.#.#####.####..#.###.##.#.#.####..##.###.#.#.#.##.#.......##.####..#.####...##..#....###.....#.###.....###.##.#..#..#...##......#..##..........##...##.#.....#..##....####.#..##..###...#......##.##..
##...##.#.#####..##....#.....#.#####.#####...###.###.######..#####...##.###...##.#.##.#......###..#.#..###.##.........#.##.###.##...#.##..##..##.#..#..##...#...#..###...######.#...#....#.....#..#..##.#.#.##.##.####....#.##.##.#.###.#.#.###.###.##.###..#...##..........##.##.#.###.#..##...#.##....#.....#..#..#.##.#.#...#.#..#..#..###..#..####..#.#####.....#..##..#...####.#.#..#...####..#...#####..###..##..#######.###.#.##.####.#....##..#...#.#..#.#####.#....####.#...##..##...##....#....###..#######..#..#.##...##.##.##.###..#######.#.##.##..##....#.#.##.#...#...#.#..#...#..##..#..#.#....##.#..#.#..####...#####.#....#.##.##.#.###....#.##.###....#.#.##..###.#.##.######...####..##.#.###.#.#.##..####.......##..#.##.#.###.#.#...###.#..#.#....###.##.#.###.#.#.#####.##..#.#.##.#......#.#..#.#.#.##.###..#....#.#.#...##....#....#.##.#.###..#.####..####..#..#..#.#.#..####.######.##..###..##..####.###....##.#.#.....##....#..#####.#......#..#..##.##.#####...##...##....#..#.####.#..##........###...##.####......#.....#.##..######.#.#.#.########.######.######.#.##.##.#....#..#.#####..#.######.#...#..#.####.#..#..#....#.###.####.#.#...##.#.#..##..#..#..###.#.##.#.#.###.##..#.#..####.#.##.#...###.#.#...#.#..##.####...#..#...#.#..#...##..#.#..##.####.#####.#..###########...#..#...##.........##.#...##.#...##......##..###.#.....##.##.#...####..#...#..#..###.#.#...#.##.....##.#.#...###.#.##..#..##.#..#..###.##..##.......#.....#...#...###..#.....#.##..#.#.####.#......#....######...#######..####.##.####..#.##..#...#.##.###..#..#...#..##.###..#.###...#...#.####.#.#.#####.#.#...........#.#####..##..#....##.###..#....#.#.#####.##.#.##.###.....#.#...#.###..#....#..##..#..#.#.#.###....#.#.##.#...####..##...##.#...##.#.###..#...#.####.##.....##...####.#...#.####.#.#.#..##.##.#...##...##.####....#..#..######.#..#..##.#..##.....#.###..####.#.#.##..###..##.###........##.#.###......#....#...#..###.#.#####..#...##.#..#.###..#...##.#...##.##..##.##.#.#.#.####.##...##...#.##.#.#......#.##.#.###.##.##...#
.......#.#..#..#.##.#.#.##########....#..#..#.###.##.#...#..#..#.#.###.##############.#.#..#...###....##.#.##.##....#...#.#.###.....######...##.......#.#.#..####..#....###.#..##....####....##.##.#########...#.####.##...####..#...#..#....#.####..####...##.#..#.##.###.####.#.##.#.#.###.#..#......##..####.#..#.######....#.###.#...##.#.###..#.####...#.####.....###....#..#..##.#.#.#...##...#.###.#...###.##.#..#..#.#...##.##.####.###.#...#.##.####.#...#...###.#..######..#..#...#.#.#####..#.######..#.#.#....##.....##.###..###.###.##..#.#..##..#..#.##.##..#.#...#..###..#.#.##..#..#.###.#..#....##.#.##.#...###..##.#..#.#.#.#.##..##.###.##.#####..###..##########.#.#.....#...#....#####..#.##.#........#.###...###...####.#.#..###.#.#..#####..#.##.###....#..#..#.#.#...##.###.###.##.#....#..##..#####....#######....####..#..###.##.#.#.###.#.###.##..#..#..#...##...#.##.#.#..#.#.##...#.#..#...#.#####....#.#..#.####..####.###.####.#....##.....##....#..#.#.##..#.##.#....##.#...##..##....####.#.##.#.########.....###.#.###.##.....###..#.#.#.##.#..######.###.#..#...#..#.#..##..#..#.###.#.###.##...##.#.#...#..##.##.#.#...#..##.##.#...#.###...##...###.###.#.###..##.#..#.###.#..#..#####...###.....#.#..#.###..#####....##...#.###.##....####....#.###..####...#.#.######.#..#####..##.#.#.##########.#..##.#..##...###.#..########..###.####...#####......#...#..##.###...#.#...#.#.#.###.###..#..#.#..#.##..###..####.#..##..###.#....####.####.#.######.#.....#..##...##.#####..####..###..####..#..###...#.#.##..#########.####...#.##.#.##........#.#.#.#.###.#....#.##.########.##.#..#.###.....###.....##...#..#.#.###..##.....#.#.##.####.#..####.#.###...###.#######....##..##....#####..###.#.##.###.#.##...#.#...###.##..#..##..###..##.#.#...#.#...#.#...#####..####.####..#....#.###...#.##...#.##.#####....#..###.##..#.####...#.####.##...#.#.##.###...####.#.###.##....###....#..####..######.#######.#...########...###...####.#.#..####.#..#..#......#...........##.#.#.######.##.##.#######..#..##.#..##.#..##..#..###.###
..#.###.#######.###.........##..#.#.#########..#....#.####..#.###...##.##.....###.......#........###..#..#..###.###.#....##..#....##.####....##..###.##.##.#.##...#...##.###..#..###.#.........##.##.##..####...#.#..##.###..#####.##..#...##..##..####.....#####..#.#.#.##.#....###.#.##.###...#.##..#.##.#..####......###.....###..#..####..###.#.#####.#..####.#....###.##.#..###.####.#.#.........###.##..#########.#.#..####.##.#..##.#......#..#...####..##..##.#.#######.#..##..##.#.####.#...#.#.#####.###..###........##..##...###.#.#####.###.##.#.....#####..####..##.#..#.#.##..###.###...#...####.##.#....#.##..###..#..#.#######...#####.###..#...##.##...####.#...##......#####.###.###..#.##..#######...#.##..#.###.###..#####.#########.#.##..#..###.....##.##.#..###......##....######.##..#...##.####.##.......##.###.####....#.#.##....##...####..#.#.#..##.#...##.####.#.####...#.##..####.......########...##.....###...####..##.##....####...#..###.##.#.#.##...######.##.#..###.#####...#..####.##..#.#.##.##..#.#..#.####.#.##.#.#####.##.##.####..#..##...##.#.#..#.##########.#.....####....##..###...##.#..#..###.##.#.#..##....##...##.##..#####.###.##..####.#.#....##..###.###.##.######..#.#....###.#####...##....#.####...#.##.###..###...##.##.#.####.......#.##...#.####......#.#...##.#..#..#.###.#..#.##..####....#..##..##..#.##.##...#....#.#...#.#.#.#..###.##.##.##..##.#.##.#.#..##...#.....##..###..#..#..##...######.#.#.##.##...##..#....#..##..#...##...#....##..##.#.#..#...########.##..#####.##.#.#######.#.####.....#...###.#.#####.#..##.#..#.##.###.##...##.#.##...#..###.#.....#.#.#..#..###..#..#..#.##...#...#...##..##......##...###.#.#..#.#...###..#.##.....#..#..#..###.######.#..##.#...#...#.#..##.##...##.####.#.#..###.#.......#.##...###.#.##..#..####.##.#...####..#.....##....#.##..##.####.#..#....##....##.#.......###.....#.....##..##.##..##..#....###.###.###..#..###.#####.#.#.##.#####..#..####...##..#....##########.#....###..#####.##.#..#######.##.......###.####..##..###..##.##........##....##.#
...#####...###..##.#.##.#...##.#..#...#.#..........###.#....#.##.#.....#.####.#.....##..###.###.#.#####.#....#####.#....#.##......##.....#.##..###....#.....##...#####........##.......#.#...##....#..##.#..#.####.#..#..###.#..#.#########..######.#.....#...#..########..#.##...##......##..#..###.#...##.#..#..#.#..#.##....######....#.#....##..####...###...#...##......#.##..#...#...#......#....#...#####......##.###.##......#.###.....##..##.#.#.####.#..##..#####.....########.#.##....#..#.##.#.###..###....#...#.##.##.##.###......#.#.#..##.##.#.####..#.####..#....####..######.#....#.#.###.#.###..##.####..###..##.#..#...#.....#.#..#.#..#####...###..##...#.#.#.##.....#..#.#.#..#.##..#.##...#..#...#...##.####.##...##.#..######.###.##..#.##..#..#.#####..#####..###.#..###.......#.##.####.....#..##.#####.....######.#....##.#.#.#..#.#######....#..##.###.#...#...#...####.##....####.#..#.....#..#......###.#.##...##..##.##..#.#...#..##.###.#..#####.##.##.########...#..#.##.....#.#.#.######.....##.###.##....####....#.###..#####.###.#####..##.###.#.......###.#######....#####.###..##..#..###.#......#.#.#...#.###...#.#.###.###.#..###..##....#.....#..##.####..########...##...####..#.#..####......#.......###...#.##..#.#..#.#.#...#..##...####.##.###.#..##..##..##..#.##.####..##.#....#.#..#.#.####..#..#.#####..#.####.#...####..###..##....##...##.#.#.##.#.#.##..#....#.#...#.###.##..##...#.....#.....#....##..#.##.##..##.#.####..####..##..###.#####..###.#....###.##..#.#...##.##.#.##..######.###..##.##..##.#..#...###.#..#####..#..#.##.##..##.###.##.#.#.##.###.#.#..##..###..#.#.##...##.###...##...###.....##.##.#.###.......#..##.###...##...#.#.##......#..#...###..###.#.###..#.##.##...#.#######.#.###.....###.#...#.####.#.#.##....##..#...##.#.#.#..###...###...##.#..#..###.####..#..##......#..###...#.#....#..#.#.##.#.........#....#.#....###..###..###..#.##.#..###.###.#.#..####.##.#######..##...#.####.##.###..##.#..#....#...#..#.#.....#..#.#....#.#.#....##.#..#.###.....#...#.##.###.#........###....##..
#.#.#........#..##.#.#.####.#.##..#...#..###.###.##.####..##.#..#.###.##.##...#...#..##..#..###.##.##.###.#...#.#.###..###.#...#####..#..##.##...#####.#.#.#####.#..#.#.#.####.##..##.#.#.#.....##.#.##.#.....#.##..#.##.##....####.#..#.#.###.###.##...#.#.###.##.##..##.######..##....##.##..#.#.##.##.#.#.#.##....###..#.####..#.#...#...##....####..#.##.#####..##.#..#.###..#..#.###..#....#...#.###..#.#.#..##..##....#.#.#...##.....#.#..##..#..#.#...........#####.##.###..###.#..#####.##....#.....##.##.##...#.#.#.#...##.#.#.#####.#..###.######...#..##.#####..#.#.#.###.......#..#...##.##..##.##..#......##.#..#....#.#.#.###..#.#####.###.#.#..##.#....#.###...####...#.##.##....#....#..##..##.#.#...##.#...###.#......###.##.#######...#.#.###.#.##..#..#..#..####..##.##.###.#.#....###.##.#.....###..#..#.#..#..#...###.#...########.##......#.#..#.###...#.#...###..#.#.##..#..###..#..#.#..##..###.#.#.##.#.#####..###.#..#..#.##.###....#....##....#...#...###..#..#.#.####...#.##.#.###..#.#.###.#.#.#..#..##..#...##..##..#..###.###.##...##.##.###.##...#.#...##..####...#...#####.#.##.###..#..#.###..####....#..##..#...##..#.#..##...##..##...######.######.#....##..#..#.....##.#....#.###..#.#......##.#...#.####..#######...##.##.#.###.#.###...#...##.#.####.....##...#####.######.###.#.#.#.####..###.###..#..##.###..#..#..#.#.####.#..#.#....#...#..#.#..###.##..###..##.#.#..###.#...#.##..####..#..#...##...###..#.##....##..#..#####..#..#.###.##.####..#..#..##..#.#...#.....###...#..##.#..#.###..###.##.#.##.##.##.#..#.#..#..##.##..##.#.##..#####......##.#.#.#####.##...##..#.##.####.#..#....##.#.#.#......#..#..###.#..####..###.#...##.#####..#..####.#..##.....#...#..##..##.#######.##.#.###....##..##.#.#.#.###.##.##...##....#.##.###.##.#..#.#####...####.####...#.#..##..##...#.....#.#.##.#..##.##.#####.###...##..#.##...####.###.#.##.##.###..#...##......#.###...#.#...#...###..#.#.#.###.....#...#.###..#.##.####.#.##.#......###...#.#..###.#.#.###...##..#####.###..#..#.#..#..#####.#.##.###.###.#..###..###.###..#
#.....##..#.##.##..##.###.#..#.###.#.###...#.#.###...#.##.#.#..##..#....##..#.####...#.####..##..###.##.#..####..###.##.#..###.##.###.#.....###.#..##.#.##...#.##...###....##....#..#.##..#....#.##.###..######...##.####..####..##...#.#.#.#..##..###..##.##.#.##.....#.###..##..##.#.#.###.####.#....#.#.#.#...#..##.#..#...##.#...#.#..#..#....##..#.###..#.#.#.####.#######.##.....#.#.#...##.##.#.#.#####.##.#..###..##.###..#.#.#..#.#.#.##.#....#..#.#..##..#.#....#....#.....#..##.................#.#####.###..#.##.#.##..######.#.#.....##..###.....##.##.#.#...#.#...##.#....#.###.#.#..........##.###.##.#.....#......#.#####.#...##.#...#..##....######.##...#....##....##....###...#.#.#...##.####...##.###.#.#....####.####.#..#..#.#..##..#...##.#.#...##.###.#.#.##.#.##.#..#....##.##...##..##...###....##.##...#.........#.....##.#..###...#.#.#.#...#..#....##...#######...#.#.####.#..##.#...##..####.....#..#......#..#####.....#.#.#..#.##..##...##.#.#.##..#.#..###.###...#.###...###.####..#...##..#..#....#.#.#..##..####..########.###....#####.#.#.##..##....##....##.#.####..####..#.#..#.#..#.#.#.##.#.#..#.##.#.......###.#.###..###.##..#..#...#....####.....##.##..##..##.##.#..##.##..#...###.###.#..#.##.###.####........##.####..#.#####.....###.#.##..#.#..##.#.#.##.#..#.#..#.#.########.#.##.....#.....#.####.##.#.####..####.#.#.#.#....##.#.#...#.##########.##...##..##.###...##.#..###.###....######.#.##..#..##..#.###..##.#..##.#.#.#..####.###.#.#.#.##.#....#.####..#.##..###..#...#..#.###...#..#..###.....#.#.####..##...#...##....##.#..##.#.#.##...###..#..#######..#..#..##.....##...##.#..##..#..#.........##..#.#.###.#...#.##.#.##.#.####..###.###..###..#.#.#.#####.#######..#####.#.#.#.######..##.....#.#.##..#...##..#..##.#..###..#..###..##.#.###...##..#..#..#..#....###.##..#..#.#.#...#..##...##.#...#.#####.##..##.#..####....#.#..####...#...####..#..#..#.###....#......#..#####.##.####....#..#####.#.###.##..#..##.#..#.#.#.#.#...#.###....#..#####.#.#...#..##.###.#.#.#....##..#.#.#.#.####..#..#.#..##.#
###.....#.#.####.#..####....#..#######.##.###.###..###..##....#..#..###...###..##.#.###..#.##.#..#.#.....#......##.###..##.##..##.#.#..#...#.#.#.#...##.####..###..#...#.#.#...#.#...#####..#.#....##..#.#....#.#########.###.####.#.######..##.#..####...#.#####.......##.##.#...#.##...###.###.#.##....#####.##....###...###..#.##...#..#.#.###...#..###....##..#...##.###..#####..##...####.#...###.####.#.##...#....#..#.##..##..##.#.#.#.###....##.###.########......##.#.##...#######..##.#.#...##.#...#.##.##.######..#.###....#...#.##.#.#.#####.###.....##...#####.#.#.....#..###..#..##.##.####.##.###.##..#..###...##...####.##..#....#..####.###.#.#.......#.#.#####..#.#.####....###...#.######.#...#.###.##..##..####.##.#.##..#..##...#....##.####.#..#.#...#.....#..##.###..##......###.#..#####.....##..########.....#....#.....##....##.#...#.##..#.####.##...##.##....#.##.#.#..#.#.##.#..##.....####...#####.######.###..#......#..#....#....###..#.###..#...#.####.##.####..##.#.#.##.#...##...#..###..#.###..######...#....##..#..#.....##........###.#....#.##...###.##.######.#.#.#.#.#.#...########..######..##......##...#...#..#.##.#.#.#.#...#..#.##..######.....####..#.##.##.###.##...##.######....#.#####.##..#.##.##..##......#...#.##....#.##...#...#####..###.##...##.......##..#....#.#..#..#.###..##.#..##.####.#.##.###.#.#.####..####..##.#.#..##....##...#...######..###.....##..#...#.#.#.###.......#..#.###..##.##..##..#.#.#.#####.#.##..#.##.##.#.##..#.#####...#.#......##.#..#......##.#.##.#.#####..#.#..#...#.####.#.#.###.#....###...#...#..##....#..#.#...#.#....#..#.###.#####..##.#.#.#####.#.###..#.###..###..######..........#.####.##.#......#..###.#.##....##...#.#.#...#.#..##..#..####...#.####.##..##.....##.##.##.#...##..#.#####.#........##.####.###..#####......##.#.##...##.#..##..#.##.#....#####.#..##.##.#..#..#..###.#..#....##..##.#...##.#..#.....#.##.##.###.##.##.#.###..#......###.##....#..##..#####.#....##..#..#.#.#..#.##....##.#######..##..#.##..#....#.#....###..##.#..##.#...##.....###.##..#..#
.####..#..#..#.##.#..###..##.#.##.##...####..####..##.####.#.#.#.#...###.#..#.#..######.##..####..##.##.#..###.###.#.###.##.###..#..#.##..#.#.####...#...####.##...###.###..#...#....#..#......#.###.#...###.#.######.#..##..#.#.##..#.#.....#.#....#...#.##...##.......##..##.#..#..##....#.##..#.#.##..#..##..#.#....#..#.##.####...###..#..###...###.###..#...#..##..#....#..#.##.###....###.#..###..###.#.##.###.#...#.###.#..###..##.##.....###..#..#...#.##.#.#.#..#.#....#####.###.##..#.#.##..##..#.##.#.#.#...#..#####..#..#..#####.##.##.##..##.#.#...#..##.#..#########..#.#....#.#.#.#......#....##.....#.......##.....#...#.##..#.......##..##....#........#..####.###...#...#.#.#.#...#.#.###..#..##....###..###..#.##.#.....####........#.#.##.#####...##.#.....#####.###.....#.##...####.###.##..#.####.####.....##.#.##..##.###.#.#.#.....#.##..#....###..#..#.#..#.#.#.########.#.####.####.#..#..#.###.#.#.#.#..##.#.####...#.#...#.######....#..#...#.##.#.#.###.#..###...#.####...#...###..#..#...#....#...#.#.#.##..##.#.#..#..#...##..#####.....#...###..#.#.#.#.#..####.#...#....###.##..#.##.##..#....##.#..#####..#.#....###.###.###..#####....#..#.#######..###.#......###....#...#.##.#.....#.....#...#..#.###.#.##....#.####...#.#...##.....#...#.###.####.##.##..#......########...##.....###.....###..#...#..#..###.###....#.....######.#...###..#..####..###..####...#..#...###.##.....#.##..##....##.#....#.#.#####..#..#...#..#.#.####...#######..###.#...##.####.##.#.#..###..##.##....####..#..##.#......####..#...#..##.######..#.#..#.##.##..#.....#.....##...##......#.#..#.###..#...###....##.#.#..#.#...##.###.#..######.##..##..#.####..##.#.#..#.#.###..#...#..#.####.#..#.####..###.#.##.####....#...###....#.#######..###.######.##.#.#.###.#..#..###.#.##.#.....##...#.##.#.#...##.#.#.###...#..#.###...#######.....#.#....#.#####.....#..#.#..#.#...#..#.#...#.##..##..##.#...#.#.#.#.##.##..#...#...###..#.##.#########..#.#....#.###..#...#...##.##....##.##.#.#..##.#.#.###.........##.#..#..#..#.#.##.#..##.#..#..#.#....##..
###..#.#.#.#...##...###....####.#....#.##..####..######..#..#..#.#.#####.......#.##...###....##..##......#.#.....####.#.#####..#...#.#.#.####..##.#..#...####..###...###...###.##.##.##.#..##.#####.#...#..###.#.#..##.##.#..##..#....###.###...#.#...#.#.#.#..#.#.#..#.##..#..###..###..#...##...#####.#..##..######..#.##.###.##.#.##..#####..####.##.#..#.###.#..##.#.#.#...#########..###..###..#.#.###.###.####.###...##...#.##....#.####..##..###.##..##.#######..##.#..##...#.#..##.##..#....##.##..#.####....###...###..#.#...##.#..#.##.##..#.#.#.....##.##...###..#......#.#.#.#..####.#.####.##...#.##..##..##..#..#..#..#..#.#.##......##...####.####.##......#..#..##.....###.###..###.....##.##....####.#.#..#..####..#.#..##.###..######.###.######..###.#......####...##..#.#..###..#.............##..#.#.##..#.#..###..#.###.##..####.###.#.####..#.##..###...#.######.#..#.#.###.##......####.#....##..#.##.#...#.###.#..#.##.##.#...#####.#####.#..###.#....###.#...##.#.##.#.#.#..##.#.#..#..#.##...#.##.##.####.#....#.......####..#.####.#.#....#...######.##.###...####.#.#...##..#..#.#.#.##...#..#.##.#...#...##.#...#.#..###..#..#####..#..##.#######.##.#...##...#...#..#...#...#.#..#######..#.#.#.##........#..#####.#.###...###.#..#.##....#...##...###.###..########...#.##.##..#..#..##.#....#....###...#.#####..##.########.###.##.#...#.#.#.....#....#####..#...#..##.#...#...##.....###..#.##.#....#...#.##...#####.#..##.#.#.##.#....#.###.....##.##..#.##.######.......#.....##..##..######..#..#.#.#.##.#.##.....#.#.###...#..###..##.#...##.####.#.....#.######.#.##...#.###..#..#####......##.#..##.#.###..#.####.#.#....#...#.###..##.#...##.#####..##..##..###....#..#.##...#.#...####.#.###.###.#..#..#.#####..........###...#....##.###....###.##.####.####.#..##.##.###...#......#...#...###...###..#.#.###.....##...#..#.##.##....#.....##..#.#####.###..##.##...#....##.###..##.#..#.###.####..###.#........###...#.#.#..#..#...#.#.##########...########....#..#..###.#....##...#.....####..#...##...#.####.####..###...#####...
######....#..#.#####..###.#.#.##.#.....##.####.#.###.#..###..#..###.##..#..#..###...#.##...##.#..##...##..#..#.......####..#....#....#..###....###.#.#...#.#####.##..#.#.##...###.#####.##....#....#..########.#..#..#..#.........##....####.#.#..#..###.....#..#.##.##.##.######..####.###.#..#.#..##.#.#.#..#.#.#.#.##.#.###....#..#....####..#.#..##.####....#..#.#..#.#.#...#..##.#..##..#.#.#####.##....#.#...#.#.#.###..###.#....##......##..#.#..##...#......#.###..#..#..#....#........#.......##.###..##..##..##...#..#....#.###.....###.#.#...#####...######..##..###.#.#.##..###..###....#.#.#...###..#..#####..#..#...###.#####....#.##..#.#.###.#.#.##.#..###..#..#..##.#...#.####.#.#.#.#...#..#.......#..##...#..##.#.#.##...###.##....#..#.#.#.#.##..##.#..###.#####.##....###..##.##..#..##.####.#.....##.#..#..#...#...##....#.#.##.#...###.##.#.#..#...##.#.##..##.#..##.##.#####.#.##.#.#.##..###.#.##..###.#..#.#..###.##.###.###.#####.##..#.....#.##.#...######..####....#.##.#..##...#.###.#.###...#..#......####.#...##..######.#...##....####.#.#..##########.#...#.#.#..#.#..#...#.#..#..##..#..#........#.##.##..###.#..##..##.#..#####..###....####..##...##.########..#######.#.#..#.....###.###..#####..##.#.....##...#..#######...##.#.##..#.#...##.##.#####....##...#.###..##.#..##..#.#.#.#########..##.##.....###.###..##.#...#.####...#.#.....##...##.#.#...#.#.####...#.#..#####.#.##...###..#...##.##.#.##.#..###.#.....#.##....#..#..#...#.#..##.####.#....#...##.##.#.#.###.###.##.#..#.##.#######..####.#..#.#.##.####.###..#..##..#.##.#..##.....#.#..#..##..#.#.#...#.#..#####.#....##.###..#.####.#.###..##..#####.#.####.#..##.....#..####.####.#...#.##...##.####.#.#.#..##..#..#####.....#.#..##..#####..##.#.##..#.....##.##.#.#.#.#.###..##.##.#####.#..##..###..#.####.#.#.#.##........###..#.##..##.##.###...#..##.#...##.#.##.######..#....##.....###....#....#####....#.#..#.####....##.#.#####...##...#.##..#....#.##....#....#####....#.###.#..#.####..##...##..####.#.####.##.#......#.#....#....#.##..#..#.##..#.....##
####.#.##.#.#####.##..###.#.#...##....#..####.#######.....####.#...#..#.#.#.######..##..#..#######...###..####.#.#..#..####...#.##...####.....#.##.#..#.#...####.#..######..###...#.###.####.#....#..##.##..##...######.#.#####.#.#..#.##.#......#..#....#####.#.......#.######.##.########.####..#.#..##..#####.##.###.#...#..###..##....#.#...#.##..##..####...###..#....#.....#.##.####.#..##....#.###....###......########..#...#.#.#...#..###...#..#.#.#..##.##.##...####..##..#..#.#..##########...#..#.######..#.....###.#.......###.#..##.....###.#.##.##.....#.##...#.##.#.###..##.###.#.###..#.#####...##.##.#.##..##....#.##...#.###..#..###.#...###.###.#.####....##..###.#..#.##.#..#.##........##.....##...#####.####...###.#...#.#...#.#..#.##..####...#...#......##.#......#...##.##..#...#.#.##.###...##.#.###..###.##.###.....#.#.##.#.#..#..####.#.###..#.....#..#.###.######.........#..#.#....####.#.#...##.#.#...#..###...#.##.#.#.###..##.##..##.#...#.##.##...####...##...##.#####.###.###.#.#.##.#..############.###...##...#.##...##...#....###..##...##..##.##.#.##..#.#.......##....##..#.#.##..#.#.#####.##..#..#.##...#.###..#...#..##...#.###..#.##.#.#..#.##.##.#..#.##...#......#.##.##...#.##..##.##..##.##..#.##.####.#.#.##..##..###.#.#..#.#..#..#.#..#..#..#...##.#..##.#...#.###....##..##.#...#...###.##..##.###..###.#.##.###.##.#..####.####..#####..#.#.###.#.#..##.#..#..###.##......##.##...#.####.#.##.###.###.##.#...####..###.######.#..#####...#.###...#..##.#.#.#.#....###....#.####.####.#.....#..#..##...###..######..###..#.....#.#....######.#.#..#.##.#..#.#..##.##...#.###...#.#...###.#####..#.#......#...###.###..#.#..#.#..###..#..#.#####.####..#.##.##....#.###......###.##.#####.....#.##..###.......##....#...#...##.##.###.####.#...#..##.###.#..#...#.#.#..###.####..##...#.###......#..##...###.#...##.#.#........#.#....#...###...#..##..###.######.#...##.####.#.###.##..####.##.#..##.#.....##.#.#.#..#.#..#..######...#..#.####...#.###.##...#..###.##.##....#####.#.##.##..#...#.#.#....#..#####...###...
##....###...#.##.#.#.##..##.#.#..##.#...#.#..##..######.#..#..#.#.#..###.###..###.#...#...##.##....#........#.##.#.#....#.....##...##.#.#.#...##.#..####....###..#.###..###...##..#.##.#.......###.##.......####...#..#.#.........#####...#.#.#..####.#########..#.##...#......###.####.#####.#..#######..#.####.#..#.#.#.##..#..#..#..##..##..#.#..###.##..#.###..##.#..#...###......#.####..####.##.##..#.#.#.#.#.#.##.###.#...##...##..#.#...#.###..#..###.#.#.#..##.#...#..###.#..######..#.#..#.#.##.#.###.#.###...#.##.#.######....####.##.#...#########....##.#.##..##.###..#.###...#....#.#########...#.###......#...#.#...##..#####......#..##.##.#.###.#...##...#...##.###..#.##.##..#.#..#.#..#..##.###.#...#.#...######.##....##.###.##.##.#..#.###.#.###.#.....###...##..#..#...####.#..##..#.###...##.###.#.##.##.#.###..####.###...#####.####.###.########.#..#.########.###.###..##.#..#.##.######.####.....#..####.##.#.##.#.#.####..#.#...###.###.##.#.##.###..##...#...#.#.##.##..#......####....#.##.##....#..#..#.##.#...##..#.#..###.#.#.##.#.#..####...####.#####....#...#.##...#..######..##...##.#..#####.###..#.##.#.#.....#.....#####..##.##..#..###....#..#....##.#.###.#..#.#.#..#..###.###.#..#.##..##.#.#.#.####....#.....#.#.###.#..#.##..#.#.##.##..##..#####...#..###..###....###.#.###..#####...##......##.######..#########...##..#...#.##.#...#.#.....###.#.......#..###.#...#.#..##..#.##..##.######..#...#..###.#....##.#.....#....###..###..#..##..##.##.#...#####.##..##.###.####.#######.#.###...#.#.#.##.....#.....##...#.#...#.#####.###.#.#####.#..###.##..#.....###.##..#...###....#######.#..#..#.#..#.#####....#..####..#...#..#..###..#..##..####..####.#.#..#..##.......##..##..###.#..##.#.#..###.#..######...#.####......##...###...##...###.#...#.###..#...#..##.####....##..##..##.#...##.......##.#....#..###...#..###.....#..##.###..#...##.#....#....#.#.###.##.#...##.#######.#..##.##.##..##.###..#..###.##.###.....###.#...###..########..#...####.##..##.####...#####...##..#.#.#.#..##...#.#.###.###.........#.###
..###..#....#..#...#.#.##....###..###.#.####....#.#.##.##.#..#.##.....##.....##.#.##.#..##.#.#.#.#.#.....#####.......#.##.##...##..###.....##.##..#.#.#.#..#.#.....#.#..#####.##.#...##.##..#..##.#..###..##..#.#..##.#.#....#.####......##.##.##.#.#.#.##.#.##.##..#..##......#.#..#...##......##.#######....###..########....###...#########...#..#.#.##..#..###....#####.###..#.######...##..#####..#####..#..######..##...#....####..#...##.####..#.##..#......#.#.#..#.##..#....##.##.#.###.#..#.##.#..#####.#.##.###.#...#.#..##.##.#...##.#.###.#.....#..#.##..#.#..#.##..####...##..#.#..#.#######.#....###.##..###..#..###..###....##..###...##.#.##..###..#..##...####.##..#....####..###..##.######..###...##.##..#.....#####..#.#.####.##..##.##...#.##.##..#...#..###..#........#..#.##.#.####...###.#....#.#.#...###........#.#.####.#.#..#....#####...#....##.######.##.##....###.#.#.##......#..###..##.....#.#....###.##.#.####.#...#.##.#.####...###..#.#.####..#.#.#.#.#..........##..#...#.....##...#..#.....##..###.#..#.#.######.##.#######..#.#...##...####...#####...####.##....##.#####..#.#.#..#.#..#......##.#.####.#...#.#...####....#.#.......##.#######....#.##.##.##.#....#..#..#..#.############.##..#..#.#.###.#####...###...#....#.##.###...######.##..#..#...#....##..#.#.#..#..#.#....#.#...###.....#.#...#..#.....#..###.#..#..##..##..#.#..##.#.##.###.#####.#..#.####..#.###.#.#.#..##...##..###.....####...##..#..##.#...####.#####..........#..##..##.###....###...#.#...##.#####.###..###..#####.#..##.#...#..####.#..##.###..#......#....##.##.#.##.##..#.#.#.#.#.#######..#.#.###.#####..###.#.....###..#...#.#.#..##..##.##..#..#.#.####.######.#....#..#..#...#....##...##..#.#..#.##.#.#..#..#..##...#......#.##....####..###.#.##.##..####........#.##.#...#.###..###..####...##..#.##..##..##.#..##.#..##....##.#...#....##.#.#.####.#..##...#....##.#....#.#.#.......#..###.#.#.###..#..####.#####.#.#.##.##.#..#####.#..##.#.....#.#.###.#......##.#.#####.##.#####.##.##...#...#.###...##.##....#.#.##.##..#...#.....#....##
...####.#.##.##.##.##.#.####..###..#.###.....#...#..#..##........#..##.#.##.#.#.....######.###..###.###.##.#.#####...#...##.##.#.#..#...##.##..##....###.#.###.....##..###..###.#.#...#...###..#.###..#.##.##..##...#..#.#########...####..##.#..##.#...........####.##...#......####...#..#..##.##.....##..####...###..#..##.....#..###...##..##.#.###.#..#..#.##.##.#..##...##.#...#.......#.#....#.#...####.##..#.#..####.#..####.#...#.#...##...#.#..##...####.#..#####.##.####.##.#...#..###..####..#.#...#.#..##.##.#.#.##.#.#.#.#..###..#.#####...##...#.##..#..###..#.....#...#..#...#.#.##.##.#.##.####.##.##..##..###....####...###.##.##..##..#...####.#..##.#.####..#.#.....##.......###.#..#..##.#.#...#.#..##.#.#.###.#..###.##..##.#.#.#.#....#..###..#.#..#####..###...##.#...###.....#######.###........#.#.#..#####.#.#....#..##....###...##.###.#.##.#..#...#....#......#..#...##.#..##.###...#....##.###..#...##.#...#.#........##.##.#.###.##..####.#...#....##.##....#.#.#.#...#.....###..##....##.########....##.###........###....##.##......###...#...#..###..####..#..#.##.###..#..#.#..#..#...##..##..####.###...##...##...##....#.#.##.....###.##.###.####.......###.###.##..#.#.#.###...#...###.#...#...#..#..##..####.##......###..#.#..#..#######..#.#..#####.#.#.#.##.###..#...#.#......###..#..##..##.###..#..##...#.#...####.###...####.##......#.#.#.#...#..#.#..##.#.###..#.###..#.###..#.##...#..##...#.#######..#.#.####..##.####.###..#.#.#..#.#...#.#..##........###.##.#...###.#.###..##..##......#.#..#.#.#.##.###......#..#....#..#####..#.#....#..#####..#..#.###...###.##..#.#.#.##..####....#..#.#.##..##.#....#####...##.#..##.....##.#....##..###...#.#..###.#########.##.#..#.##.....##.#######.###..##..##...#.###....#.##..####.#..#####..##..#...#.....#.##.####..#....##.#####.#...##..#.#.#..##..##.###..##.#.#.##.#..##.#.#..#.###...#.....#.#####..#.#..##.##.#.###....#.#..#....#..#..#..#.###.###.###..##.#..#.#.#######.#####...####.#######.##.#..##.####.#.##..#.##.#..####....#.#..#.#.#...##.##.#...#....#.......
.#.####.#..###...##.#.#.###.###...###.#..##.#..#.#.#....#.#.##...#....#.#..##.##.##.#.#..#...##.#.#..##.#...#.#.##.#..##....#####.###.###.....######..#..#.##..####..##..####.#.###...#...####.#.##..#.#.#..#.##.##.###..#.#.#.##.....#.#..###.#..####...#....#.#.#####.###..##...#...#.#..##.#..#.####.#.####.#######.#...#.#......##.####...#...##.#.#...###.###...##........#...##.##.###.####.##.###.#..###.#.#.###.##.##.####.#.#..#..##..##.#.#.###...###.#..#.####....#####..##.#..#....##.##...#.#.####.#..###.#....##...##.#..#.#########...###.###...#...#...#..####..####.#.#.###.#..#....#....#..####...#......####.#...##...#..#...#.##..#.#.#......#.#.#....##.....#...##..#.###..#.##......#.###..##...##..###.####....#.##.####.#...#.#...#.##.##....#.#..##...###.#.##.#.##.......#..#.###.#.##.####.##.##..##....#.......#.###.##.##..##.#.##.#.#.###.######..####.#..##.##.###.#...#..#.#..#....#...##..#.#####....#..####..#..#..#.......###.#........##....##..##..#.#....#.#.#.##..##...####.##..#.####..##....##....##.##.#...#.###..####.#.#..###..#...###..#.#..#...###..##.#.#..#.#....##..##.##.#.##.##..##......###.#.#..##..#.###..#.####.###....#.#.#..#..#.#.#..#.#.#..#.#..####....###.#..#.#....#...##.##.###..#..#.###.#..#..##.##.#.........##.#.#.....#...#.#...##.#.#..#..##.#..##...#.##..#..###.#..#..#.####.###.###..#.##..###..##.#.##.#####..#.###.#.######.##......#...#..###.##...#.##.######..#.##.##.#...#.#.##.#.###..#....#.##.#.##.#.###..#.#....#..#...#.###..###.#..#.#.#...#..#.#...##.#.#.....###..#....#.#.......#..#...##..#.##..#..###..##...#..#####.....#.#..#.###...###.....#..#..#...####..##..#....#...#..#######...####..#.#.#.#..#.#.#.#..#..#....####...#.#.##.#.....##..####...##.#..#..####.#.#..##########....##.#....#.##.#.##.#.....##.#.##..#..#.#..#..#.##.#.###.#...##.#..#.#...##.....#.###...##..#.########.##..#.#...##.#.####.#.....####.##....###..#....#..#.#.#....##..#...###.####..####.##.#....#...##.##..###..#.#.####..#.##.#..#..#....#.#.####.#...##.######..#..#...#.##.#....##...##..#..#
.####..#.######..#....#.#.##..###...##....#....#..#####..##..#..##.#.#.###.##.####.......#..#.#.#.#.##....###...##...#...#...#.###.####.####..#.#..#.#..###.#...#####...#....####...#..#####.#..#..#...##..#.##.##.##.##...####.#.#####..#.###..#...#.##..#....#...#.#..##..#.###.##.###..#.....###...###.##.###.###.##.####.##.#.###...######..##.###..#...#.#.######..###..###.#..##.##.###..#.#..###...#.#.###..##.#..####.....####.####.###....#.##..#..#.##..#.#....#...#......#..##..#..#.#.......##.##.....####.#.##.###....########..#...###..##.##.##.#..#....#..#....########..#...##.#......##.#.#.###.#..##.#.###..##..##.#...#.##.##....#.#..#..##.#.#......####.##.#..###....##.#.#.####.####....#..#..#.######..###.##..#...#..#....##.##........#..#...#.####.#####.##...#.#......####..#....#.#.##..#...#...#..#.##...#.####.##.#..#.#..#...##.###...#..##.#..###..#...#..##..#.#.##....###.###.#..##...#..###.##.#...####.###...#.########.###.....###..#.##.###...#.###..#####..#...#.##.#.#.##..#...##.#...##.##...#.#.##.#..##...##.#####...###.#.#..#.#...#.#.##..#...##.#......#.##..#.....#.#..#..###.#.###..####.#...###..#.###....###.###.......#.##.#..####.#.##.#####.###.#....#..#...#####.#...#..#.#..#.#....#....##..#.##..#.###...####...###.#.###.##.....#..##..##.#.##.###.#..#.#..##...#.....##.##.##..#....#.###...#.####.#.###.###.#.#....##.##...##.##..##....##.##.###.#.##..#.##....#..##.###......##.####.###...#.#.#.#.###..###.#..#....##...#.......###.#....#.#.##.#..#.#.#..###.#.#..#.#..#..######..#.#...###..#.#.##.#.#.#..#.#..#.#.....##...##...#.##...##.##....##........###.#.#.##...##..#.##.#.#...##.###.#...##..#####....#..#..#.####.####....#.#####..#.#.##.#.#.#...####...##.#.#..#...###.#.####.#.#.#......#.#...#.#.#..#.##....#..#.#..###.#..#..#.###.####...#.###...#####.#........#....#.#.###..#...######....#..####....####.##..##.####.##..#..######.#.#..##.#.#..#..##...#....#..#....##..#......##.#...####.#..######..##.####.##...##.###...###.##.##.#.##.#####.....#...#.....#...##.###.###.##.#....#.#.#
##.###....##..####..#..##.#.##.######..#..#..##.###...###..#.#...#...#..#...##.####.#.####.#..##...###.##..#..#....#..####.#.#..#.##.#.##.##.#..###.........#.#..####...##..#.#...#...#..###.#...###.#...#.##....#....#.#..#..#..#.#.###.#.....#.#.###.####..###.#.....###..###..##.#.#..##.#.#.#.#.##.#.##.###.##..#..#######..#.##..#.#..##.#.#.#..#.#.#.#.#..#.##...#..#..##...#.#....#.##.#..##.#.#############.##..#.#####..###..###..#######.##.##.##...#.#.##..........#..##....###..#.....#..#.##..#.###..####.........#.#..##......#..####..####.#...#..####.#...##.###....#....###..#####.##....#.###..#...##.##....#.#####.#.###...#....#....#.#...#.#.#####..##.#....#..#.#.#.###..#####..####...####..##.###.###..#..######..#.####..##..####.....##..#.#..#......##...#...##..#..#.##.#..###.#####....#.....######...#.#.#.#.####.###..##..####....##.#.#.#...#..##....#...#.#..#.#.##..##.##.....###..##.##....###....#...##..#...#.##....##.#..##..#.#.####..##...##..##.####..##.####...#..###..#.#..#.#..###..##...#.#.#.#...#.##.##.....###...#.##..##.###..###...#.....#.##.##.#.#.###..##.##.#.......####.####.##....#..#..###...#.###...#..#...####..###..#...####...#.#...##.#.#.....##.###...##..###.###.....#.#.##.###.......##.#..#......#.#.#...#..#.#.######....######.#.##..#....#####....###...#..#.###.#...#....#.##.####.###.##.####.#...##.###.##.#.#..#..#....#..#..###.#.#.#.#####.#.#####..#..##.##.#.#....##..#......##...####.##.##...#.#....#...###..#.##.###.#..###.##.#..####....#####.....#.##.#####...####..#.....#..#.###.#####.##..##.#####.#######.#.#..#.#.#####......######.#.##.###.####.#..###.###....###..#.#...#...#.##..##.##....##..#..###..##..#######.####.####...#.#.....###..#.##.#....#########..##.#..#.##.##.#.#..#.#.#.#.......###...#####.##.#..##..#####.##..##.##..#.#.#.#.#..####..#.##..#.#...##.#######....###.#..####..#.#..#####..##..##..#.#..#.#.#...#......##.##.###.#..##.#..#.#..#..#.##.##...#.##.#..#.##.#.#.#.##.###.###..#.##..##.#..#..##.#.#.....#####.#.####..####....#.#.##..#####...###.##.#
###.##.##....#.#####..#..##..#.#.#...#..##.#.#.....#..#.#.....#.#..#.##.####.#.#.#..#.#.....#.##....#.########..###..#..##...#####.###....#.###.#.#..###.#.#..##...#..##..####..#.....#####....#..###..###.#.#....#..####....#.###.....#.#.#.#..##....##..#.#.#...##.#.####.###..#...##.##....#..#.#.#.#.#..#....##.##.##....#.#.#####.#.....#....#.####......####.#.###.##.####.#.##.###..##.#.#.#...#.##..###.#....###..##.#....####....#####...#..##..##.#.###..####...#..##...##.#...##..#..#....#...##..##..##.##.#..##.##.....##.#..###.#.##..##.#.#.#...#...##..#.##.##.######.#####..#...###.#.#.#.####.###.###..#.#..#.##.#..#.#.##....#.###...#####..#..#..#.#..####.###.####.#...###...##..###..####..#.##.#...##.#.#....#.#..##.###.###..#..##.#..##.....###.#.##.......#.....###.#....#.#...#####..##...##..##..##.###.##.###..###.###...#.##.##..##....#..####.######.##.#...##.#.#.#..#.#.#....##..######...#.#...#.....###.#.#.....#...#####....####.##..#.#.##.##.##...#.###.#..#....##..#.#.##.#####.#####..###.###...#..###.##.##.######.#..##.##.###..###...#.......#..#...####.###.#####.#..#.####..##....##..##...#..#.######..#.####....#.###..###...#.#...######...#.#..#...##..#.##..###..####...#..#..#.#...##.##...##.#..#......#..#...#...#.##.##.....###..#.#..#.#####.#..####.####..####.#.....#....#...#.###...#.###...#.#...#....#.#..#..#.##..#.#..#####....#..##.##.##.##..#..##.##.##.#..####.###........#.#...#.#.#.##.....#.#####.........###...#..##..#.#.####.###.#..##......####.##..#...#..#.##...###.###..#..####.#...#####...####.#..#...#..#.#...##....#...#..#.#.....###..##...#....#..#####..##..#...#..##...#.##..#.#.#...#.#.##.####.##..##.#######..##.###.##..#...#.##...##..#..#..######.#####....##.##..#..##.##...###..####.....#.#######.##.##....#.#..##.#...###..##...#..#.##..##..#.##..#..##.#.##.#.###.###.#.##......##..#...#.####.###...####..####.####..##......#..#..#.#.#.##.#.###...#.##..#.#..#..#.###.###..#....#######.#..#.##..########..#....###....#.####...#..#.#.####..##....###..##.#..##.#..#..#.#...
#..###....#.#...##...#....###.###.....####.#......#......###..#....#.....###.###.#######...####.#..#.##.##..#.#.#.#....#.#...#....#...#..####...#.#......##.###......#...##.##...#.#.#....#.#..#..#.#.##.#.##..#..###.#...#.##...##....#...#.#.#.#.#.#...##..#...#..#####..#.....###.#..###..##....##.##..#.#.##.#.####..###.#..##.#...#.##..#....#..#.##.##....###..##......#..#.###......##.....###.####..####.#.....#.###.##..#.###.##..##.#....#..#.#.####.###.##..#.#.#.####..##.#...#..#..#.....##....##.###.##..######.#.##...##...#.....##..#.#.###.#.....##.#....#...###.#########.#.##...#...#.#.##.#####.####...#.#...##....##..#####..##..####.##..##....#..#####.##...##..##..#.##.##.###.#.##.#......#.###.#.#.#####..##..####..#.###..#..####..##.#######.#......##...#..#...#.#..####..#####.#..###..###.#...##.##...###..#.#...####.###.##.#..##.#.#..###..##.###...###...#...#.#.....#..####.#..#.#.#..##.##.#.##..####.#.#..###.#.......#.#.#.....#.#.#..####.##...##.##.##.#..###...#...##..#.....#......###..##.##.##.#.#########.#.##.#..###.##.#...#.###.#.##..###.###.##....##..#..#.#..###.##.#....#..##..#......##.##.#..##.####.#..###..#.#.#.##.#####.#.###...#..#.#####........#..####.#.####...####..##..#...#.#######..####..#.##.#.#..####..#.#..##.###......####.#..##.#........###..##.##....#........#....#####..###......#####...#..####.##.#.#...#..##..##.#.#########..##.#####.#.###.###..#..##.#..#.#...##.....###...##.#....###.#..#.##..#...##..##.####.##..###.###....##.#..#.###..#...#.#...#####.#....#####..#..###.#.##..###.#..#.###.###..#..#..#.#..####.#.##..##.#.###.#.########.#.......###.#..##.#.######.###.#..#.##.##.#.#..##.#######.#..#..#...#.##..#.###...#.#.##.#.#..#.##...###.#.##.#.##.....#....####.##....#.##.#.#...#.###.###....##.##.##.#.#..########.....#....###.#####...##..#......#.##...##......######.###.##.#..######.##.###.##.#.....###..#########.#.....###......##..#..######.#.##..#.##.##.##.#.....#...#.#.##.####.....#..##.#.#.#...#.#..#..##.#.###.....#.#..###.##.#.####..#.###.#.#..#.#.#..
#.##.#.#.##.###...#.#..#.####..########.#...#..###..#.#####.####....##.#.##.#.#...##.#..###..#.##...###.#.#.#..#.###....####.#.###.##.#.####.....#.....#.#......#..###.#####.###..############.##.##.####..#.##.##.#.#.##.....#.....#..#.#..###..#.#..##..##..####.##..##..#.##..######.##.##.##.######.#.#...##......#....#.#.#..#.###..#.####...#..##.###..##..###..##.#..##....#.#.#####.##..#.####.##.#.##.#..#.#.##.#...#.####.#.#..##....######...####..#.##..#..###...##.#...##...#.####.#.#.###.######.##.####..#...##.###.#....#.#####...#...#.#.##...#.###.#.#....#.###..###...###.#..#.......####.####.#.##...#.####.#.#..##.###.##.#.#....####..###.##...##..#..#.#....#.###...#..#...##.....##...####.#..#.#.#........#.#..#...#.###.#.....####.##.#........#...#...#####.##.##..###...#####.###...##...##..####....#.......#..#######.#..#.#.##.##.#.......#..#.#.###.#.##..##.#...##.....###..#.#.###..##.###.###.###.#.#.#.#..#......##....#......#.#..#.#.....#.#.#.#..#.....##..###..###.#...#..#.####..###.##.#...####.#.#.####.#...#.#.....##.###.#.##..#.#.#....##..#......#.#.#...####.#...##.#....#.#.##..#.#.#####...##...#...##.#....######.###...#..######.###.#.##.##...#...#..##.###.#.#..#.......#.####.#...####...##.##.###.#....####.##.#.###...##....##.....##.....####..##..##...###......####.##.#.#.#.###.########.#..#.#.##..##..#.#.#.#..#....##.#..#.###...#.#.##.#.##..#..#.####.###...#.#.#..##.##.##.#......##.#...##...#..#..#..####.#..######..##..##.##.....#.#..###.....#.#...#.########...#####.####..#.#.###...##....#.#..###.##..#..##...#...#.###.####.####..#....##.#...##.#..##.###.##..####.######..####.##....###..#..#..#####.###.#####...#..##.#..#.##..#..###..####..##.#####.#.....##.#.##.###.##.#.##...#.##.#....###..##....#####.###.#####.#.###.##........#...##.######..##.###...#.#..##.#.#...##.##.#..##.#.#.####...###..##.#...#.#..##.####.#...##..#...#.#.#...#.###.##......######.###.##.###.#.###.#...##.##...#.###.###......#########.##.###.###.###.#.#..#.###..#.###.#.##.#.#...#.#..######..##...##....
##....###..#.##.#...#......#..##..##.#.#.#.#####.....#.#....#.#.#..#.##.#..##.#.##.#.#####.#.#...#.#.###..#.#####.###....#..#..##.##.#...###.....##.....##.#...##.#.#.#.#.###.#.#..##.####......#...#...##.#...##..#....###.##.#....#....#..#.###.#.#..###...#..#.###..##....###.###.#.........#.#####...#...##....##...##.##..#..#..#.##.#...#.#..##.........#.#..##...##....#..#.......#.#..#..#####..####.#...###.#........#####.##.####..#######..###.#..#.#.#..#..#.....##.##....#..#..#.##.#####...#..####.....#..##.#..#.##..#####.###..#..#.#.#.#.###..#.....#.##.#..##.##.##..##....######.###.##.#.#.#..##....#..#..#..#.##.#.###.#.#.####..##..#.#.......#........#.#.###.###.#.#####.#####.###..##..##...#..#..#.###.#....##..####.##....####..####...#..#.#..##.#######.##.#.#..#.#.###.#####.##.......#...##...##.#.##...#.###.#####.####....##.##.#...#....#.#####..#....#.#.#.##.#.#.####.#.##..####..#.##.#..#..###.#..##.##.###..##.#..#.##..#.###.#..#.###..#.#####.##.#..##.#.##.#.####...##....#.#####..#..#..#.##.#....#.###.#...#.#..#.#..##..#.###.####.##....##...#..###....##.#..#.#.##.###..#.....##.....#.#######..##..#####...#......#.##..#.#...####..###.#...#..##.#.#.##.##.##.#.#.....#...#.....#.#..###.##..#.##.###...##.####.#.###.#.##.###.##.###.#..#.##.###.##.###.####....#.#####.###.##...#...#####.#...#.##..#.#.##...#..#..###..#....#.#.#..######....##...#####.#####....#...######.##.#....#####........##.#.##..##..#....#.......###...##########.##.#....####.#.#.##.##...#.#....#.###..#.####..#..#..#....##..#...##.....#.##..#.#..#..###.#...####..#.#...#.###.##....##.....#.#..###.#..#......#..###.#..#..##.#.#.#.####.###.#.##.#...#.....#.##..#.####...#....#..#...#....##..##.####..#.#.##.#.#.##.##..#..####...#.######..###.#..#.#.###...#..#.#..#.##.#.#..#.#.#..#....#.##.....#.##.####.#..####.#.......###..#.#####.######.####.##..#.###.####.##...##..##.#..#.......#....#.##.#.#....##.##...#.###....##...#..##.#####..#.#..#.#.###....########.#####..###...#....#.#.###..##.#...##.#.########..#.#...##.#.#..#
#########..#.###..###..####.###..###.#...#.#####..#.####.#.#.#..##..###.#.###...##...##...##.##.###..##..####.#........##..########.#.##############.#.##.##..##.#....#.#.#...#....#.##.####.##.###...#..##.......##.#########.###.##..#.....#..#########.#.#....##..#.#...#....#...##.##..##..#.#....###.#.#.###...#.#.##..###.#....#...#...###...##.#.....##.#.#.##.##..#.##.#.#..#.####..##...#####..####.#.###.####.#.#.###...#.##.....#..##..##.#.#.....#.##...#..#.#.#..##.##.##..##...#....#######...####..#.#...######.#.##.....#....#.###..###.#..##.#..#####.########.##...##.#.##.####....#.###..#......#.##..##...###.....#.#...##.#.###..#..#.#.#..#######..#.#..#..###....#..#...##..###....###.#######..#...#.#..#.#.#.########..####....##....##.#.#...###..#.#..###.####..#...#...#.##.##.####.#...#.##..##.###.###.##.###..###...#....####..##.#..##.##.##.#.#..#.#.....###.#...###.....#.#.##.#..#.##.#.#####.###...#.#.###.###..###.#.###..####..#####.#..######.#.###.#.##.#.#.###.###..###......##.....####.#..##.#....####.#.######.###.#...##...#.....###...##.#.###...##..#.###.#....##..#.##....#####.....#..###..##.###.#....######.#..#.##.##.#...##...#...###.####.##.#..#....##..#...###.#..##.#...#.#.....#..##..#..####.#.##...#..###..#.###..#.#.#.#.....#...####.#...#....#..##...##......#.....##.#.####.##.#..##..###..#.##.##.##.##..#....##..#.#.###....##..##.##....###...#.#......#..#.....#.##.#.##.........##..#...##.##..#...##.....#....####...#.#####...###.#.###.####...##...#..#.##....#.#.....##..##.#..###...##..##.....#.#.#..#..###.#..###.#.##.#####........##...###...####..#.##.#...###....#....#...#...#.#.##...##.#####.#..#.#..##.#.####..#.###..##.#..###..#...##.##.#..#.###..##.#.##....#...#.#.#####...#.#...##.#.##.#.###.##...###..####....##.###.#.#####.....#.#...##..#..###...##...###.#.###.#.##..###.#.#..#.#.#.##..#####.#..##..##.....#.....###.....#......#....#....#....###.####.#.#.#..#..######..#...#.#...##.#...#..#....#########....##.##....#..#..###.##..#.#...#...##...###.####.......#..#..##.#
######.#..#.#.#...#.#.####...#..#..#.#....##...#..##.###....##..#.#.#.##.#.#..#.##....#.##.#.###.###...#..#..#.#..#.#....##.##.#.#.#####...###.##.##.###...####....##....#.....####..##.######.###.#....#.#..#.###..####...####.###..#.......#..#..##..#..#..##...#..####.#..#.#.....#....#.##.##..#.#...#######....##.##.#.##.#..#.#..###..#.###.#.#.######..##..###.#.##...#..####..#.#.###..##.....#......##..#..####.#..#.#...####.###.#..##.#.####.#.###..#####..##..#..##.##.#.#..##.####....#.###.#.###...#..##.....#....#######....#...##.##.#.##..#.##.#.#..##.#######.#####.##..#.##...#.#..###..#.##...#.######..###.#.##..##.#.......###..####..###.#.#..##....##....##.......#.###.#.##.#...#.##.......#.......#..##....#.#.##.#.###.###.#..####.#..##.##...#.#.#.#.#...##..##..##..##.##.#.####.##.###...#...#.##.##..#######.#.###..#..#.###.#.....#....##.#.##..#.....##.#....#####..#..#..##.##.#.##.##.......#..#...###..##......#...######..#..##...####.####.##.#.##..#...##.#.#.####..###.#.##.#.#...###....###.#.###..#.###.#....##...#..#..##..###.##....#.#.##...#..#...#...#..####.##..#...#...##..#.....######...#.#.#.....#.#.#.#..#####.##.#..#.#.##.########..#..#..#.#.#...#....###.......#.#....##....#..##.#..##..##.##.#####..#...##.##..#.####.#..#.###.#####.#.#.#...##.#.....#...##...#.#.#..#..##..##..#.#####....#.##..##.#.###.##....##....##.....##.###..###..#..##.###..#.#....#.##.#.#..#..#..##.####.......##......#..#.#.##..#......##.#..#.#..##..#...#...#.#####.......#.########.#..#...#........##..###.#....###...##..#.#.#.##.#..#..#.#####.###.##..####..##.####..##.##.#####....#.###..#..##.#.#.###.##.##...#.#.#.##..#..#.#...#....#.###.#......##.######.#.#.###...#.#..#.##....#.#..#..####..#.#..#.##.##..#...#..###..#..##.#.####.#.....#.#.....#####..##..#.##.#.#.......####.#..#.#.######..#.#..#.#.#.#.#####.#..##..#.#....#.#.##...##.#######.####.#.##.##.#.###.#.#.#...#..#####...###..#.##..#.###.#.#.#..###........#.###.#.#.#...#...#.##...###...####.#..###.#..#..#.##.#.##...###.##...###.....#...##.#....
##..#...###.#.#...#.##.###.....###.....##..###.###..#.##...#.#.#.#.##..#...#...##...#..#.#######.##.#...#...####....#...###.#...#.#...##.#.##..#.##.#.######....#.#...##..#.#.#.#.##...##.#.#.###.##.##..#.##........#..#....#.#.#.##.##.##......#.#######.#.###.....#..##..###.#.####.##.#.#.#.##...#.##.##....###..#..#...#.#.##.#..#.#.#.##.......#.#...####.#......###.#...#####..##.##.#.#.##..###..#.####.###.#.#...#..##.###..####.#..##.##.#.#...#...#.#..##.#.#....##.#####.#...##.#.##...#...##.#..#.##.#######...##...####.#.##..#.##.#.##.########..##...#.#..##...#..#..##..####..#...##...#..#..###....##.#..#.##..#....#.####..#.#.##.......###.#.....#.#.....#.####.#..#.....##.#....##....##.#..###..###..#.##.#.###..#.#.##.##..##.#.#..#..#.#.#..#..#......#.####.#.#.#..#.#..#....##.....#.....##.##....#.##.#..##.#####.###.##...##..###...##.#..#.#####..##..#.#..#.##....#.##.#.#####..#..####..#.#..#..#..#####........#.######...#.######...#.#.####....###..#.....#.##...#...#.###.######.##..#..#..#.#.###.#.##.###..#.#.....#####.#.#..##.#..#.#####.###.##.#.##....#.###...##.###.#.#.#..#.......####..#..#.....#####.###.#.#..##.#.#.##.#.##..###..#...##..#.##..####...###..##.####....#.###...###.#####..##..##.#.#.#..#..#########..#..#.##.###.##.#..#.#...#.....###...#..##..#.#..#.##.#####..##..#....###.#.#.##..#####.#.##..###..##..#.#..##.###.###...##....##.#.###.#.#.#.###.#.#.#..#...###.##.......##..#####.#.#.##.#.#.#..#.###..#.#...###.#.#.#...############.#...##.#.....#...#.#####....##.#.#.#.....##.#..##.#..##..###.##..##..#...#.##.####.#.#.#.#..#.######.##..#####.##.#.#..##.##.###.####.....#.#.######.##.#.#..#..#...#.##.####....##.#.#.#..##.###.##.##..####...#.##.#.##..##.#.#.####...###....#.####.#.#.#.##...#....##..#......#...#..###.####.#.....#.#.#.##...#..##..####.#.#.#.###..####.#.##...#......#..#...###...##..#.##.#.##.####..#.##.#...#....####...###.##..#....#####..#.#..###.##.###.##.##.###...#.#####..##.#...#.###..#...####.#.##.#...###..#..#.#....###...###.#.####......#....#.#....#.#....
..#.#.##..##.#.#..############.#...#..###.#.....#.#..#...###.#.####....#....##.##..#..###.#.##...##.#.#.###......#.####.##..#..#..#.#.....#..#...##########...####.####.#..###...#...##.#......###.#.#.#.#..#.###..###..#.#.....#..#.##.#.###.##...#.....#.##..###..###.##..##.#..##.#.......#.##...##.##.#.#..###.....#.######..#####...###...##...#.###.#.#....#..##...##.#....#..#.###..####.#.####..#..#..##...#.#.#.####.###..#.....#.#..#.###.#..##.###.##.#.#....##...#####.#.#.##.####...#.##.#.#.##..##.#......#..#..#.##........#..#.#####..#...#..##....######..##..#.###.####.#...#.#..##.##...####....##.####.###..#.#.#.#..#.##.##...#.#####.##..#.......####....########.#.####...###.#..#.#.##..##..##.#...####.#..#.####..#.##.#.#.#....#...#####..#...#..######..##.#...#.##..##...####.#........###..##.#....#.#.##...#..###..###.###.###..#....####..##.##.#####..##....#.#..#...####..##.##..#.#.#.#.###.#.##...#####.#..##########.#..##.###.###.##.####.#.....##.###.#.##.##......###..##.#.......#.#.#.##..###.#.#..#...#####.#.#...#.####.....###..##.#.#.#..#.#.....#....#.#..#.###..##.#..####....##.########..#.#..#..###...#.#.#####..#.##..#..#.#......#.##....#...###.#####.#...#...#.#.#.....#.#..##.....####...###....#.....#.##..###.#.#....##..####..##...##.#####..###.##...##..#.###.###..#####..#####...#..###.#..#.##.##..###.##...#######.....#.##.#..#.#.##....#..##.##.#....#..##.#.##..#.#..###...##.#.##.#..#.##.#..........##..##.#.##.#.#...#....#...#..##......#......#..###.##...#.#....#.#..#####..##.#.##.###....#.#.#....##.#....#..##.##.##...##.#######....###..###..####.#..#.##.###.#..#....####.#####.....#.###.##......#.###.....##...#....#.##.#.#.#...######...#.#.#.#..##..##.##.###.##..#.#..####..##.#..#..##.##...##.##.###.####.#.#.###.##..#.####..####..#..####.###...#.##.........###.#...#....#..#......##.#.....#.##..#.....###.###...#...##.####.#.####.##.##..##..##.##...####...#.#.##.#....##.....##.###..#.##....#.#.#...#.#..#..#.###.......#.##.#.###.##.#.#.###.##.###.....##.#.##.#...##.##.##.#.#
....##..####..#.....##.##.#.###.#####....####.#.#...###.########....#.....###..#.##....######.####..#####...#.###.#..#.#.#...##..##...........##.###..##.######.##.###.#.....##..#.##.#.#..##.......#.#.#.#..#.#.#.##.###..#####.......#...#....##...###....#.##.#.........#...#..###.#..#.##..#..###..######.#####.##.##.#.#.##..#.#.##..##....#..#.####.###..#.##..#.###....#.#..###...#.###.#.#.#..#####......##..####.##.#.##.####...#....#..#..#.#.##.#.#.#.....##..##.#.....#.#...###...##.###.#.####.#....#..#...#.###.#.#.###.#.##..#.#.#..#.###.##.#.#..#...###...##...#....##.#.##.###.#....###.####.###.#.....####....###.##.###...#.#...#...#.#..#..#.#...##.######....##.########..###.##......#..####.####.#...#.....#.####.......##.#.#.##.#.#.##.##..#..####.#.###.#.##.#...###.#.##.#....##.###..######.#.#######..#####.##..#.##.######..##..#....###..##..#.#.##......#.#...#.##....##..###..##...#....####.#.#...#.#####.#..###....###...#..##..##..##.##..##....####..##......#...##.#..##.###....#.##..#.##.....#.#.##....##..##....####.##..#.###..#.###.#.###..##.##.####.###.##.#....#####...#.#####.##.##..###..##..#..##.#..####..###.#.#.##.##...######.#.#.####..###.####.#.#..###..##.....#.#.###...#.#.##......#...#.##..#.#####.#.#..##.#..###.##.#...#.####..#.###.#.##.........##.####.#....###.#.#####.#.#........#....#.#..#..####...#####...#.#.###..##.##.#.#...#.#....##.#..###...#.#..####..#.#.......##.##.#..###.#.##.##..##..#.#.#.####.#.....#.###.#.#.#.##.#.#####.#.#.####.#.#.#.###...##...##.##.#...##.#.####..#.#########.#.###...##.##....#.##.##.#.##.##.#.#.#.#......#...#..#.##..##.#.#...#....#...#....#.##.#..#.#.#.#....##.###.....#..###.#.##..##.#.#...##.#..###..#####..#.#..#.######.##.#...##..#.#....#..#..###.#.#.##.........##.#.#..####.##.#.#.##.#..##...###...#..#.#.#.##..#.#..###.####..#.#..##..#.###.##.#.#..#.##..###.#...#.#....#..#.##..#.#.#####..#.#...#....#..#####.#....#.###...############...#.#.#..###.###..##..##########.###.##.##...#.#.#.###.######.#..#.##..#####.######.....#..########.#
..#####..#.###.####.#..##......##.#..#.....##...##...#.....#..###....###.##...##....#.#..###.#.##..####.####.##.##....#..#.#..####.##.#.########.###..#.#####.#.##....#.#....#.#.####.#.#######.#.#...#.#...#.#.####.##.#.###...#.####...##.####.###..#.#.#........#.#..##.##.####.....#..##..##...##.#...#..#..#.#.#.##....#.#.##.###.#####.#..#.##.....##..#.#...###.##.#.###..##.#.##.###..##..##.##.......#...##.###.#.#..#.##..#.########.....#...##.#.#...##....#####...#..#####.######.###.#.##.#.#.#..#...#.....#....###..######.#.##.#..#.##.#..###.#.#..#####...##.#......#.#..#.#..#.##...#####..#......#.##.....#.#...###..##....##.#.#......#..##..#.##.#..#..##.###..#..#...#####....#####.##.###.#.#.....#####....##.#...##.###......###..#####.#.#.##.##.######.#...#.########.#....#.#...#..#.#.##.#..#.....####.#.#..##.#..####.#####.######..####.....#.##.#####.#.###.###..###...##..####......##..#####.#.#.##..#...#..####..#......##.#.#.###.#..#.#..##.####.#.###...##...###.##...#..##.#..#####..##.##..#...#....#..#.#..#.#.#.....##..##..#..##.##..#.##.####....#..#..#....#...###.#...#.###.#..#.#...#.#.####..#..#...###.###...#.#.########.#.#.##.###..#.####...#...##......##.##.#.#.#.##.####...#.....##.##..#..#.#..##..#.....##.#.#..##..#.#..##.....#.#####..#.#.#.####..#.##..##.#.#.###....#.##.#.####..#.###....#.#..#....#.#..##..#.###.#..###.#.##..#.#####.#..###.#.###.####.#####.##.##...#.##.##.#.#######.##.##..#....#....##.##...#...#..#.#..#....####.#..#...#.#.##.#...###..#...#..#...#....#.#.##...##...##.#..#.####..#.#.####.#####.#..###.#...##..#..##.##...#...#.#.##...####.##.#.##..##..##..#..###........######.###.#.#.##.###.#...#.###..#.##.###.##..##..##.##.#..##.......#....###.#.#.#..#.#...###...#..###..##..##.##.##....#.############..##..##.##..#.#...####.####.##..######.#..#...##.#.#.#.#.#.....#.#.#.##......##..#.##.###..####.#....#..#.######.#.##....#.##..#....#...#.#..#..#.#......##..#.###..###.###.###.#...#.####.#.#.####.#.#.#...##...#...##.#.#....###....###.######..#.###.####.######.###
..##.#..#...#..####.#.....#.##.###.##..###.#.####..#.#.#.#.##......#.#.#.###..#.....#.#........#.#####....####.###..#.##..##.#..####.#...##.#...##..###.###.##...#.#.#####.##.#.#.#.##..####.##..##...##..#####.#..#.###.#...#.###.#.###.#####.#.#..###.#.....#####..##...##.#.####...#.####.#.#.##.#.###.#...#..##.#..#.#.#..#.#.###..###..#..#.##..#....#.###.####.#...##..###.##.##.###.......#..#.##.####.##.##..###....#..###...##.###..#...##.##............#..#####.#.#####.##..#######.#.######..#.##..##..#...#####.....##..#.##....#.#..#..#.#...##..##.##.###..#.#####...#......##.##..#.###...#...#.##....##...#.###..#..##.#..#.###.##..##...#.#.#...#######.##.#.#.##..##.##.##..#..#...####..##....#.#.##.#.#########..##..#..#.##..#######..#.#.##..#####....#...##....#..##..###.#.#.#.#.###..#.###.##..#.#.##..##......########..########.##.#######.##.#..#.#.######..#..##.#.###...#..#.#.##.###.#####..##.#.####.##.#.####...#....#....#..#.##...##...##.#..#####..#..#.#####...##...#.....##..#...#...#.#...#..#.######.##.#....#..##.#######....#####.#####.......#####.#..###...###.#.....##...#..####..#..#....#...##..#..####...##.###.##....##..#......#.###.####..#.###.#..#..#.##.#####..#.#####..##.##....####.#.#.####..####...#....#..###..###.#####..#.#######.###...###.#.....##.#.....##.#.##.#####.....#.####...#.....##..##.......##..###.....#######..#.###.###.####....#.###.#..###.##...###..###........#####..#..#.#######.#.....########..#.##..##.##.#######.##..###.#.#...###..##..###..#.#....###.#..###..##.####...#.#####..#.##..#.#..##.##..##.#.##.##.....###.....#.##.###.###....####.##..##.#.#.###....##.....#.##..#.......#...##..##.##.##..#....##.###..#..#..#.#..#..#.###..#.#.#.##..#..##.#..#.....##.#.##..##..#.#.###..#...#.######...#....#.#..#...##.##.#....#.#...#.#.#.##.#.#####.#.#.#.###......##.###.#..##.#.#####.##.###.###.#.#..#.#.#...#####..#...#.###.####...##..###.#.#.##...#.#####.##..###..##.###..#..#####.######.#..####...#.#......#..#...#..###.###.#.##..#.###.#...##...#.#..........#....#####
.###.#.##..#..###.###..#######..#...#####.##..#.#.###.###....#.##..#######.###.##....####..#.....#.#.#..###...#.#.#.###.##.##..#.###...##.#..###..#####.#...#.###..########....#.###.......#....#....#...#....#...#....####.##...######.#.##.....##...######..#.#..##.#..#.#.#.###...###..#.#.#...####....#.#.##........#..#.##.###.#...#.##..##.##....#.#..####....#.#.#......#..#..#....####..#.###.#.####..##.#...######.##..#.###.#.#..###......#..#..##...###....#.##.#######.##..#.##.##.##..###.##.#.#.#.#..##..#.##....##.###..#.#...##.#.###...#..#.#....#.##.#####.##.##....###..###..#.#.#####...##.##.#.#..##..###.#.###.####.....##.#..##...#.#.#.#.######..#....#########.##....#.#....#.#.#.#..##.##.#.#.###.#.##..###.#...#..####..##.##.#..#####....#.##..#.....#.#.##.##.##.#.#.#..##....##..##.##..#.##......#.....###.#..#...#.##...###.#.##......#.....#...#.###...#...#.##.#####.##...#..#.##.##.##.###.###..#...##..#.#######...#..##.#....####.#.###..####..##...#..##......#.##..##.#.##.####..#.#.##...#.#....#######.####.#.#.###.##...#..#####.#.##.#####.#..###.##.#.##...#.#..####..####.###..###.##..####..#.##..#.#...#.#.#.##......###.##.#....#....##.###.##.#....###...##...##.#.#.#.##..##..#######.####.#.#...#..#..##..#.#.#.#.###.#....###.#....#.#..##..##.#.##.##.####..#..###.##..#.#..###..#...#.##.#...####.##.#.#.#.###.#.......##.#.#...#.####.####.####.###..#.####........##..##..##.#.....#####.###.#####.#.#..##.#.###..#####..###...#...######.#..####.###..#...####..#...#..###..#.#.#.#..##.#.#.#.#..#.#####.....#.#..#.#.###.#...##.#..###.###.####.##.#########..#..#..##.####.#......#.#.#..#.##..##.#...##...#....##...##.#..###.###..##...#...#.###.###....#..##.#...##.##.#...#.#..#....##..#..####....##.##.#.#####...#####.#..##.#......##.#####...#..########..##.##.###.##.#.###.....###...#..#.###....####....##.#.....#.##..##..#.....####..###.......#......#.#..#...#####.#..#....##.#...##..###.#####.##.#.####...##.#....###..#..####..#..#.##.###.##.#...#..#.....#######..####.#.#.#...#.##...####.###.##
#...#..###.##.###.#....#.#....##.#.##.####.###..###.##....###...#.#....##.#....#...#.##....##.#..#.....####.##.##.#.####.#.#..#..#.####.##.#.#.#####..##.#.##..##.##.#.##...####.#.#.#..###...###.#.##.#.##.#.....###..##.#.####..#.#.#########.###.#..####.#.##.#.#.###.#..##...##...#....#####.#.########..##.#..###..#.##.#....#...###.##..#.##.#.#######....###....#....##....#####.#.##..####...##..#.#.#####....#..#...###.#####.###.#.######.#####...###.##..##...#.#..#.#.#.##...#...##.###.#.##....#.##.#.#.#....##..##.#...##.#.#.....####.##...#..##..#.#.###....#.#..#####..##..#..##.#..######.#.###...##..#.##..##....#.....####.####..#.#..#.#####...#.#..##.#....#.####....#..##.#.#....##....#....#..#.......##...#..##..#....#.#.#.....#..##.###########.#.####.#.#.#.....##....#.#...#.###.##..#######.###.##..####.###.......#..###..##..#..##.###...###.#####..##.#.##.##...#...#...####.#..#.....##.#.#.##...#.#........###.####...##.#.#.......###..##.####........###.###.##.#.....#....#..##.###.###...#.#..#.##.###...........###..#..#..####.#####.##..#######.##.##....#.#.###.......#####.#......#.##.##.#.#.####.....#..#.#..##.#.##...####..####..###.####.....##.##...##..###.#.##..#.####...####..#.##...##....##.#...#..###.##.#........#.#...#.#..###.####..#.##.....#.#..##...#.#.##..#...###.###.##.#..#.#.#.##.#..##..#.##...##..####.##..##..#...##.##...##.####......###..###....###.###.##.###.....#...#####....#..#.###..###..#....##..#.########...##.###......##.##.##.#..#..#..#...##....#..#..##.#.#.#####.#...#.#...#....#..##......#.##..##..##..###...#..#######..##..########..###.##...#####..##......#.#.#.#.##.##.#.####.#....###.#.#...###.#.####.#..#....###...#..###.#...#######.....###.#.....#..##.#..######....##..##...###...####...##.#.#..###...#.#.####..#.###..#.#...##...##.#.#..###..#####..#....#####.#.##.#.#..##..#####..###...###.#.##.####...#.#..####..#.###.#.##..##.#.#...#...###.#..##..##.##.#..#.#..#..#.#.#..#####..#.#..####.##.#..#.#.####.#.#..#.###...###...###.#.#.#.#..####...###..##.#....#
####.####.#.##.#.#.....#..#.##...#.#.##.#.#####.....#.###..######.#.##.###....##..#####.###....#..#..##.###.##.#..####.#.##.##..##.....##...###.#####.#####...#..###..#.#.#.###.#.#.#.#.#.#.#.#....#....#.#..##.####.######.#.#....####.###.###....##.#.#..#..#.##...####...#.#.....#.#.#..##...#...#.#.###..##.#..###.##.#..###..#...##.##...###..#.#.#.#.##.##.#..##...#..##.#.##.#...##.###.#######..##.####..##..####.##....#.###..#....#.###..########....###...##...##..##..##.#..#....#...###..#..###.#.....#...#.#...###.#..##...###..##.#..#######.##..#..#.#.#..##.#..###.##....####.#.#..#.#.##..#.......##.##.##.####...###..##..#..#..#.#....##########..#.#.######.##.###.#....####.###.#...#...##.#....###.#.##.########.#.##...######.########...#..#....#.#.####.###...#.#####.##.#..#####.....##...#######....###..#..#..##..#.##......##...#.#.#..#.########....#.#.....###.##...#....#.###..###.#...##.....#.#..##....###.####..#..#.####.#.#..#.#..#.##.#.#...#.##.##.####.#.#..###.......###.#.###....###.#..#..##....#.#.########.##...##..###...###..#..##....#.#..#.##..#..#...#.#..#####..#.###....#.#.####..#.##..###.##.#..#.#..#.#..#######..#..##..###.####.######....#....###....#..###.#.####.....##....#.#......#...##..##.....#.###........###.#.#.#.##....##...#..##..##.......####.#...##.##..##.#######....#...#.#......#....#........###.#...#....#..#....#...#####.##...#.##...#.#....#.##..##..##..#####..#...##..##....#..##.#.#.#....##.###..#.##..##.#..##..#...#.##.#..##..##.##..###..#...#########.#..#.##.##...#.#.##.#..#.#..######..#...#.#.###....#.###.###.......#..#..###.##.##.##.######.#....###..#.#.#...#...##.#..#....##..#..######...#...##..##.....####..#..#..##.#.#..#...##..##..###..#......####..###.#...##.##..####.##...##...####.###.##.######.#.##...##....#.##...#.#.###.####......##.#........#....#...##....###.#..#.###.#..#....###.#.#####....###.#..##.##....####...#.##.#..##..#.##.##..#..#.#.#..####....#.##.##.#.####..##....#...#..#.#######.##.....##..####.....#.#.#..#.#...#..#.....#.####...##
##.###.#.#.##....#...#.....###..#...##..#.###..#.##.##.####...#.###.#####.####..######.....#.####.#..##.#.#.#....##.##.#.#.##..##.#.##.#.#...####.#...#...###.#....###..#####.#.##..#..#...#.#######..#.#..#...##.....###.......###..#.....#...#..#..#..#..#....#.##.#...#..#.#......##.##.#......#......#.#####..#..#..####...##.###......##...###....#####..#...##..##....####....#.....##..##..#.#.###..##..##...#..##..#####....#.####....###....#...##..#..#...#.#.#...#.##.##.#.#..#.#...##...#..#.#..###.#.#..#.##..#.######...###......##.#..##.##.#.#.#.#....#...##..#..#.#..#.##...#....##.#..###...#.#....##.##.###.#.#####.#.##.#........#####..#.##.#.##...#.#.#...#.#...#..######..#..###.##....#.###..#..##....#..#..##....#..##.....#.##.#.#....##.####...#....###.##...###....#..#..##.#.#.###.#.####.####.#....#.#.##...##..###.####.#.###.###..##.#..##.#.###..#.#.#.#.##....##..#.##....#.####.##.....####..##...#..#..#...#.#.#..#.####.##.##.#..#####.....##..#..#...#..##.###.###...##..##..##.#.##.#..#.###.##..#.#..#.....##...#..##....#...###..#....######..##..####..#.##.#####.#.......######.##..###.....#..#..#####...#..#.#.#..#..###...##.##.####.#..####.....##.####..#.##.#.#.###...#####......#...#...#.###..#####.###....######.##......####.#...#####..##...####.....###.#....#.##...###.########...##.##.#...#.####.###.#...#......#.##.#.###...#...#....#...#....#######.##..#.#...####..#####..##.#######..#.##..####.##.##..##..#..##.##.#..#.###.#####..#..#.####...###....##.###..#..#.#..###..###.#####.##.##.###.#.#.##....#.##.#####..####..###.###.###..#..##.#.###.###..#....#.##.#.#.##.###...##.#..#..##....#.###..#...#.....###.####.###.##....##.##..#.......###.#..#....#.##.#.#....#.#########.###.......#.###.####..###..##.#.#.##...#.#.....##.###..##..###.##.####...#####.##..#.#.#.........###.#.##..#####.###.#.##.#..####.###.##.##.#.#...####..###.##...#...#.##.###.#.##.#....#.......#####...#..#.####..#.#.#.####.##...##....#..###....####.##.........#.#.##......##...##.#.##.#####.#..##.###.###..#.##....#
.###..##..#.#..###.##.#######.##..###..##.#######..#####.#...#......###.###....#....##.###......####.#...##...#...##....##.####.#....#.#.######.#.....###..#####..##..#.#.##..####..#..##.###.#..#.#.#.##...#.#....#..###..#.#....#....#..######.#..#..#.#.###.##.#..##.##.#.##.####.##.####.#...#.####..##.#..####....#.##..#.#.##...#...#####....##.#..##.###..##.####...#.##.#..##..###..##.#...#...#.##.###..#..##.###.#.##.#.....##..##..###..#.##.###.#.........####.##..##.###.#...#.###...###..##.##..####.#...#.#..####..#.#...#.##.#..####..##.#.##.##.#.##.##..#...####.##..##.#####..##..####.#.#.###.##..##.##.#.#.#.#.#..#.##.....##.#.####.##..#.#.#.....###..##.########.##.##...####..#...#...###..#.##.##...#..###.#...#.......##..##......##..#####..#...##.#.....####....##...#..####.##.####.....#####...##.#.##..####..###.#...####..#.##..#.###..###..####.##...#.#####.###.....###.#.###.###..#.#...##...##..#.###.###..####.#.#.##..#...##..#.###.###.#.#....#..###..#....#..###.#.#.##..##..##..#.###.......####.......#.#....##.#.....##.#.#.##.#...###..##.#.###..###.####.#..#.##.#...####.#...######.......#....###.#####.######....#.#.###.##...#..###.###...###...##....#.###..##....#....##..#.#.#.#.#.##.#.##.....###.##....#.#...#....#.###.#.###.#...#...#.#..##.#....##...##.......#.#.####.##.#.#...#...##.##.#.##.#####..##.#####...####....#.##.###..##.#.#.###.##....#........#.###.#..#...#.#..##.######.##.#.#......###.##.##..#.#.##..###.####..#.###...#...#.#.##.###..#.#.#.#.#...#.#...#.##..#.#...#....##..#.#.#####......#...##...#.#.#.#.##.#.#.####....#..###..#.....#..#.#..##.#..#.##.####.#..#.#..#.###.##.##..##.########...####..#..#.##...#.#.#..#....####...#..####..#.#.##.###.#..##....###.#...##..#.............#..#.#.#..#.##.#.#.###.##..#.#.#######...###..######..#...##.###.######.##.#.....#.#..##.#...#....#..#......#...#####.#.###.##.####..##...###....###.#####.#.#.#..###.#.#.#.##.#..##....###.#####.#####.###.###.###..#.##..#...#.#.#.#..#...####.####...#.#.###..#.##.##..####.........####..##..#.
.##.#..#.##.#..##.#..#..#.#..#.#.#..#.###....#..#.##......###.####.#.#.#..#..#..#.##.#..#...#.##.##..#.#.#.#.#......####.#....#####...#..##.#.####..#.....#.#....#..##..#..#...##......###..####.###.....#.###..####.#.#.#.#..#.#.###.###...#..#...##.#.#..#.#####..####.##.....######.##.##.#..##.###..##.#.#.##...#.#...##.####..###...##.####..###..####.....##.#..#####...#####.####.####..#....##.###.####....##..#...#.#....#..#..###..##.##.#######.#...##...#..#...##.###...####..#.######.#.#.##..#.###..#....#......###...##......####..#.#....##...##...###.#####.......####......#.##.##.#.#.#.#..#.####...##..##..####......####.###..#..##..###....#..###.....##.##.#.#..##........#.##..#.#####.###..#...###..##.#.#.....##.##..#...#..#..#....####...##.#..##.##..###.#...#.......#....#.###.#..#..#....##..##..#.##......#..#####.##.#.##.#.#..###.###.##....##....#....###..#..###.#..##...#.##.#..##...##...#.#..####..#....#.#...##.##......#...##........###.##.###.#.#.###....##..##.####....#.###.....#....##..##..##.##..#.##.#.#...#.#####..##.###..#..##.###..##..###.##.##..###.......#..............###......##..###....##.#...#.#.##.#..##.###..#..##.##.#.##.....##.#..###..#.############...#.#.#..#.###..##......#..#.#.....#.##..#.###..######.#..#.####.....#.##.#.#....###.###.##....##..#.......#..#########...#..#####.#..###..#.#.#.##....##..#.##...##.#.#####.#..#######.......#.##...#####....#.#.#.##.#.##.##....#.#.##...######..###.####.#####....#####.####..#.###.#....#..#...#..#######.....#.#..##.#.......##.#..##.......#.#.#.#####.##.###.......##..####..#.#....#......###....###....#....#..#.##...####.##..#...###.#...#...#......##.....###.###...####.####.###...#..#....##....##.#..#.#####..#..#####..#.#.#..#.......#...##.##.#.#....#..#.#.####...#.....#.###..##..######..###.####.#.######..#.........##....######.##.#..#..##.#...##.####.###....#..#######.#.#.#.#.#.##.######.#..###.#.#####.####....##.###.....####..###.#...##.#...#.##.#.#..#...##.##.#...#.##.#.#######.#####..##..##.#....##.#.###..#.###.
.#.##.##.##.#.##..#....##.#.#...##....#....###.##..#..#.##.#.#.###.##.#..###.#..#..#....##.#.####..####..#.#.##...#..###..#..###..#.#.#...###..#.########.###..#####..#...##.....####....#.#.#####.#..##...#.####....#.#.#...#.###..#......#...#.###..#.#......#..#.#..####....#####.#.#..##.##.#.#.#..##..#....#.#####.###.#.....##.#.#.........#.....###.#...#..##.##....#.###.####.#..#.########...#.####..##.#.#.#.#.###..###.#.#..#.#.#.#.###.#..#.#.##.######..#.##.#.######.#####....#...###...#.####.##.#...##.#....#....#..#..#.####.#..#.#.##.####..##...#..###..##.#.#.##..###...###.#.#..##..###...#####.#...#.....##.##.......#..#...#.#.#.########.#....##....#.####.#..#.#.#######.##..##...###..#.#.#..#.#.#.####..#.##....###..##.#..##.#.#.##...#.##....#..#...##....##.#..#.#..####..#..#..#.....#..###..###..##...##.#..#......###..#.#.#.##.####.#.##.##...#.#..#..#.####...##.##....##.##...##.#..##.#.##..##.......#...#..###...##.##.###.#...###.#..#.....##.#.##.######..###...#..##.#.###.###.####....##.##.##..####...#..####.#..#.#.#####.....###..#...#.#..#.##..####..###.#..#.##..#.....#.##.#.#..#...###..#...##.##....#...#.#...##.###.#####..##......#.#.##.#.###......##..#.###.#..#.#.#.##..####.##.#...##..###..##.#..##..###..#.#....#.#.#.#....#######.##..#...#.##.#.#..#..#########.#.##.#.##.....###.###.###...#..#.###......#.#....###.#....#..#.#.###..#.#.#..#########..#.##.#.#..###..##..#..#..#######.#...#.#####.#...#.#..###.#.#.##.###..#.#...#....##..##.#..###..#...##...#.#..##.##..##.#####.########.#.#.....#..#...#.#.#.#.#.##########.#..######..##..#.###.#.#######.####.##...#...##..#.....##.#...#....#....#...##.##....########........##.#.#.##..##.#..#..#.#.#####..#....#..#....######..##....###..#...##.##..###.##.######.##.....#.....##.#...####...##...#.#.###.##.#####.#......#..#.####.#...#.#.###.#.#..##....####.###.###..#...#.#...##.....#####......#..#...####..##..#.#..#######.##.....#.###.##.#..#.#.###...##...#.###...##.##...#....#.##...#.##.#.######.....#.#...#.#.#########..#.#....####.#
.#..#.##.#..###.#.###..#..#....#....#..#.....#.#....#...##.#####..#.###..#.##.###..###..#..##.#..###.####...###..#..#..##.#..######..#...###.......#...#.#......#.###.#.#..###.##.#..#..#..#...#####.#.#.##....#..#.#.###.#.###.##..##.##.#.....#..######...#..#..##.#..#####...#..##..#....##.##.....##..##.##.##..##.#.#.#.###...#.##..##..#...###.#....#.####....######....##..#..###...#.##.#.##.#....####..#.#.##..###.#...#..##.#..#######....##..#..#.####.###..#......###.##.#......#....##.#.#..####..#..##.#.###...##.###.#..#.#.###.###..####..#.#####...####.#.##.##.#.#....####.######.#####...##.#..##.....#.##..#....#.#......###.#...#.####..###.#.##.####.##..##.##...#.#..##......#.####.##..##.####.#..##.#.#.##..#..##..####.#..........##...######..#..###.....#..#.#.#.#.###..#.#...#.##.##.###.#.###.......##..#..#..###.##.###...#.....####.###....#.###########....#.#..##.#.##..##........#...##.##.#.###....#...#..#..##.##.#..#..##.##.#....#...#..####..#.#####.##..###.#...##...#.#..##...####....#.######.#####.##..#..#....##..#.#...####.#...#.....#.#.#....#####.##.#.#####..##.....##.##.#...#.##..##......#...###.......#....#....##.####.#.#.......###....#..###..#........#.#.....#...######.#..##.#.#..#.##...#.#.###........########.#.####.#.###..#.#...#...#..#..###...###......####..###.##.#.#.....#......###....#.#.#.###.#####.....###..#..####......####...###.##......#.....###.#.#.#.##...#...###.##.###..#.#...##..###....###.###....#..##...#..###.#.#...##.##..#......#.###..###..#.#.#.#............#...#..#...##.##..###.#....#.#..###..#.#...#.#.#...#.####..#..#.#..###...#####..###...#.##.#...##..##.###..##.###.#..######..##.####..#.#..#####...#......#...###.#.#.#.##...####.#.#..##.#...###.#######..#.#...####.#.###....#####..#...#.#.##.#.#.#.##.#.###..#.##.#####....##...#...#.#......####.#..##.#.#.###.#..#.#.#.#.#..#...#.##..##.#.##.#..###....#####.##.#.......#.#..##..##.###..###.##......#.#.##.##.#.#.#.##......#####.#..#.##.##.#####...####.######...##.#####...######.#....##.##....#.########..
#..#.#######.####.......##.#.###.#..#..##..#.#..##.....####..#####.###...#...#...#.#.#.#.#######.....#.#.#####.####.#...#.###.#...##.....#.####.####.#.##....##..#.#######...#..###..##..#..#####..#.#.#....#..#.#..##.....##..#..#..##......####.#####....##........####.#.##.#.##...#....##.##..#....##.#..###.#....##..#...#.#.#.#.##.##.#....#######...#.#.##.##.####..#.#.........#####...##...#.##.....###.####.##.#####.##..###.##..##..##.########.....###..#...#.#####.#....#.##...#...#.#########..#.####..#..#...###..##.......##.#.#.#..#.#.#.###....#.#..#.#####.....#######.##.###..#.###..###.#.#######.#...#......##.#...##.######...##..#...#####....#....####.....##......#..#..#.##.########.####.##...#.#..#.#..###....#....#..#.###.#.########...#.#..##..#####.#....#..###.#...##.##.####....#####.####.###..###..#.#.##.##..#######.#..#..#...#..###.....#..#...#####..###.#....#######.#...###.#..#..##.#####.#..#..##......#.......####...#.##.##..##..#.#..##..#.#.#.#.###..#.#.#.#.#...##.##..#..##.###.######...#....#.##.#.##.#######.#.###.#.###..#.###.....###..#...##...#######..#..##.###....###.##...##.......#.#.###.#..#...###..#.#.##.#......####..#..#####.#....##.#.#.#..##.###....#..#.##.....#..#.######..#..##..###...##.###..###.#.###.##.###.#.####.###...#####.#.#.##..###.#..#.#.......###.##.#.#.#..###.###..#....#.....#..#.#.#..###...#.#.#.#####...#.#######..#.##..##......###.#..###.#...#.##....#######.##.###.#..#....##.#.#..#.###.#..#..#######...#..#..#...#.#.#..###.#.####.#.#.###..#..##..#.#..#.........#...###.#.#.#..#.##....####.#..##.#.#.......#.#...##..#..#.##..####.#.#..####.#.###....##....##.#..#.###.#.##.##..#.....##.###.#..###..#....#.###..#..####....#...#.#######.###...####.####.#..##.###..##...##..###.....#..#.....####...###.###....####.#####..###..######..##.....##...#.##.###...##..#.#.##.##...#......#..#.##.###...###.#...#..#...#....##...#..######.#..##.#.#.#.##..##...####..#####..###.##....#..###..#...###.#######.###.#######..#.##.##.#.#........##.#......#..###....###.#.#.
#..###..##.....#.#..#.#.###..##....#.#.#.....#.#.#...###...##..###.###..#.........#####...##.....##############.##..#.#...#.#.###.####.#.###.#...##.#.###.###......#.####...#...#..#####..#######.#......#.##.####..#...####.#.....######.#...#.....#.#....####.........#.#..#.....#.#...#..##..#.#..####.##...#########.###.#...#......###...#...###.##..##..#..#######...###...##..#####..##..##.##.#..###.#....##.#..#..##..##.#.#.###....####...#.##.#...##..#.#...#..#..##...#....#.#.###.####.#.#.##.#.##..##.####..####...#.##..#.#.###.####.##.#.#..#.#........####.#.##..###.##..#.#..##...#......#.#.#.#.#..#.......##...#...####.###########..#.#.##...####.#.##..#..##.##..#..##.#..#.##.#..###..#..##..#.#.#.#######.#.###.#######..#....##..#.###.##..#.#...##.####...##..#..##....###....#.####.##..####..#####.....#...#..#.......##..#.#.#..###.#......#####.########..###....#.######.#...#.#...#....#.#........##..####...######.###....####..#.#..#.#.#..###.#.###..##...#.##.#.#.#..###..####.###.#######......##.#.###..#..####.##.#..###.#.##.###..#....#...##.#.#.####.##.##.######......#...#..##...##..#.#...#.###.###.#.####..##.##..##....#..#..#..#..#......####...###..####.##....#.#.#......#..#..#..###..###...##.#..#..#..#..#.######.#........#.###...#.#.##.####.#...##...##..###..##..##.##.##..#.###..#.##.####.#..###...#..##......#.#.##..#####.##.####.#####.######.#.###.#...#...#.#####..#..#...#########..####.###.###.#.##.##....#...####.#.##.#..####.........#..#####..##..#.#.....#.####.##..######.#.#.#..###....##.....#..#.#..#...#.....###.#.#......##.#....#..##.#.###..#..##...##..#.##.#.###.#.#..##.##.#...##....#....##.#.....#..####.##.###.#...#.###..###.##.##.....#...##.###..####...##.#...######.#.#.###.####..##.###.##.###..#..#.##...#..######...#.##.###.#####.#.#.####..#.#....##...#.##...###.##.#.###.#.#.####.######...#.#.###..#...##..#...#..#.###.#.##.#.####.....#.####...####.#.#..#####.#..##.#.#..#..###.####.#..#.##.##....##..##.#....#..###.##.##....#..##..##....##.#..#..##.#...####..#.#.#..#
.#######.###..##..#.#...#.#.###...#..#..##..###...###.#####..####.#....###..#.##...#.#...#.##....######.####.##...##..#.#.##.##.###..#.#.#...#.#..####..#####........##..####.##...##.......#.##.#..#######.###.###.#.#.######.##.###.#......#...#....##...#....####..###.##..##.####.###.##..##.##..##.#..##..#....#.####.#.##...####.###.###.#.######..#....#....###..#..###.#...#.#.#.##.#.#....#.##..##.#..#.##....#.####..###.#..##.###.####.######..#..##.##..#..####..#..###.#...#.##.#...##.##.#....##.#..#..##..##.#..##.#.#.##..##.#........##..##.#..#.#..###..###.##.##.#.###.#.....####.##.#.#.##.###....#####.#..##.##.##.###.####.#...#....#.#...#..####.#.#####..##..#.####.#####.#....##.######..#...#...#######.#..##.#.#.###..##..#...##.#......#.##.##.#.#...##..###...#.##...##....##....#.####.########.#..#.##..#.####.##.###..#.#.....#.#.#....#..#..###..##..##.....###..#...###...##.##.#......#...##.####..#...#..#.##.#...#..#..##.#..#...##...#...#.###.......##.#..#####.#.#.#.#######..#.##.#.###.##....##.#..#.#..#.##..##....######......##.#..#..#..####.....##.#.#......#..##..#....#.#...######.#.##.#.#......#####....####.##.####.#..##...#.####.##.#.#....#.##.#.#.#.#.#.....##........#..###...#.##.###..####..###.###..#....#..####...####.#..##..#..##.##.##.#..#...####.##.#.....#.#.....###.###.....#.........####..#.......#.##..#..##.#.#####..#.#.....##.#....#.#..#...###..#..#.#.##...##.#.###..##.#.##.##..#..###...#.##.##....#....#..#..###.#...##..#..###.###..#..###.####.#.##.###.#...#..#.###.##.##...#..#.#.##.##.####.#..##...#.#......#..#..#...###...##....#####.###.#.#####....####.#.###.##..##.####.#.###..##..#..###..###.#.##.######...###..###....##..#....###.#####..##.#..#..#.##....#..###..#...#.##.#.##..#.#..##.#...#.#.##...##..##.#.#.###.####.####....#..#..##...#........####.#..#..#.#.#####....##..#.##.#.##.#...#..##......#..#.#.#..##.#####..##.###...##.##...#.#.####.####.##.....##....#...#..#....#..###.###.#..##.##.#.###...#...##....##.#..#######.##.##.#.##.#..##....##..##.#.###.#....
#.##.#.#.#......##.#.###.##.....#..###.#.####..#####....#..##..#..#.#.#.###...#.#..###.#..#.##..#.......##...####.####.####.##.....#...#...#.......##..#...#..###..#.#..######..###...#.####.####....#..#.###.#.####.#.#.#.#..#...#...##...#####.#.####..##..#...#..#.#..#.....#..#.###.#.#...#.##.#..#.###.#....#.##.##.#...##.#...#...####.#.##.##..##.####..#...#.....##.....#........###.....#.##.##.#######.#.#.#.#.###.#####.#..##..#.##..#.#...........####.....#.##..##....##.###..#.#.##...#.#..##....#.##.##..#.##.###.....#.#..##..#...#.#.##..###.##.#.##.##.#.#.##.##...######...#..#.###.#..#..#.##.#..#.#.##....#.#..#.#..#####...##..##.#.##...####.##.##...#...#.#.##.#..#........###.###........##..#.##.#.#.##.#..#.##..###....#.####..#....###....#.####....###.###.##...#####.#...###.###..##...####.#.##.....###.##.##.#.#.#........###.###..#.#.##.#..#.###..#....####.####..#..##.#...#.###..#...#.##.##....#.#.#..#.##.#..##.#.#.##.#.#.###..#.......####..#....#####....##..#####.##.###...#...##.#.###....#...#..##.#.##.##..###..#.##..#.##.#.#...#......##.###..######.###.##.###.##.#.##..####.#.##..##......#....#.##.......#.##...#.#.#.#.####.#.#.##..###.#.....###..#.#.#......##...##.########.#...###...###..#.#.#.###.#.#.#.####.##.#.#.#.##.###....#....#.##.....#.#...######..###..###.#.#...###...#.....##.###..##..#.##...##.#..#.#.#.#####...##..#####.###.....##.##.#.#.#......#.#...##.#.#######..#.##.####..#.......##.#..##########..#...#..#.##..##...#..#..###..##..##.#....#.#...##.##..####..#.##.##..##..#.#....##..##..#..#####.##.###..##.######.#.#####...#..###.#..#.#.#.#.##..#######.#.#...##...#.#.#.##.###.##...####..#...#.#..#..####.#.#....##..###.#.#####.##.##..#.#..####...##..#.#..##.#####..##########.#.###..#..##..###.##...####..#..##....##....#.###.#.##.####.#...###.....####.###...#..####.##..#..####.....#.##.##....###.#.#......#.######..##.###.#...###.#.#.##.##..###.#.#..##...###..##...#.##..###.####..........#.#..#...##.......###.###.....#####...###..#.#.#.#.#.#####.....#######.#..#..#.
#.#....##....###.......#..#.##.##..##.#######..##.###..###...#...#.#..###.##..#.....#.###.#..###..#..######.#..#...####.###.#..#.#.#.#.##.#.#....###.##..##.###..###..#.#.#.##..###.###.#..##.#...#.......#.##..#####.#...####....##..#...##....#####.#.#.##...######.#.#....#.#..#.#.#..#..#..##.##.#..##.#....##.##..#..##.#...........#..#.#.#####.#######.#..#..##.#...#.##..###........#..#..##.##..#....#..#.#..###.##....##...#.###....##...#.##.#...#####...#####..#.#....##.##########.##.##..#.#####......####.#.##..#.#.#...##.###.#..#.#####.#.#...#.#..#.########.#.##..##...##...#....#...##..####.##..####.....#.#..####.#...##.#...##.#...##.........#.#.#.........###.#.###.####.#..##.#..#.##..#.######.##.#.#...#.####.#...###.#.##..#.###.##..##.#..#.#.###.#..##.#########.#..#####..#....###..#.#...#.##..##...##....#.#######.######.#...###..#.#..#.#.##.#......###..#.....##.#...###.##...#.#.#.#..#####.##..#.###.#.#.####.........#..#....####.#####...#.###.....#.##.#..#.#.##..#..##..#.##.#.#.#..#...##...#.#####..#...##..#..#..##....###.......##.....#....#####..#...##.##..#...##.##.##.#..##.#.###.#.#.#.#.#####..####...##..#....####...#.######..#...#.###.####.##..#.#.#####.#.##...#....#.##.#.###.....#...#....#.#.###.#.#.###...#..##..###...#...#.#####.#....#..####.##..#.##....###..#...##.#....##.###.#.#.##....#..#..###...#####..#######.##.#..#####...#....#.#.##..###...##.##.#....##.##..####...#...##.##..##....#...#..#...#..##.#.##.....##.#....#.#.###.##.#.#.##..#..##.##..####....#..##.#..#.####.##.#.####.#####.#....##..#..###.#..#.#....#####.#.##....#.##..##...##.#.#..#.##..#......#.#..#####.#..#..#....#.##.##.##..###..##.#.#....#..##..####..##.#....#.#.#..##...###.#....#..##.##.#.#.##.#.#.#..#.#.###.###....#######.#.#..##...##....####....###.#.####.....####.#..#.#.#.###.#.#......####.##.##..#...#....###.....#.#.##..#..#.#.#...#...##.#...##..##.#.#..#..#.##.#.#..#...#.#.#.#..####..##.#...#..#....###.#########....#####.#....######.##.###.#..#..###..#..####..##..##...##..###.##......#..##.
##.##.#.#..#.##..#.#..###.##.##...##....###.##..#.####.##.#.###....#.#..##...#.##.###.#..#.#.#..#..##.#..########..####.#.#...##.##....#..##.#.##.#..#.##..#.#..#.#........###...#.....###.#.#.#..###.....###..##...####...#.##...#######...#####.####.###..#..##..#.#.###.......###.##.#.#....####..##.#.##..#..##.####..#.##.####...#.#.....#.##..#.#.####....#.....##..###.##.#.#...#.###..#........#.......#.##.##.##.##.#..###....###......##...#..#...#####.#.....###.###.#.#...#.######...#.####.##.#.#.#.#.###...##.#.#..#...#..###.######.#.#.#####.##.#.##..###.#.##.#....####.#...##.#.#...##.###....#..######.......###.#.#####...#.##..#.#..#.###.#.#####.###..###..##..####......##.#.##..#..#..###.#.##..####..#...#.#..###..###.##..#####.###.#.#..#...##.#.#....#.#..#...###..#.#.#.#..#..#.#.##.#..##.#.##....##.###.##...#....#.####....###..##.#.#.#.#####.#...#.##...#....#.#..#..###...#...##.#.#######.####.##.###.###....###.....#......#########..#...####.##.....#...##..####..######..##..#....#.#.#...##..#..#.#..##.#.##.##.#.##..#.#....###..#.#..###.#.#.....#.#..#..###....#.#.#.#.###..#.###..####...##.#.#.#.#....###.##..###.#...####...#.##.###..#.#..#..#..##..###.##...####.#.##.#...#..##.##.#.#..#.#.#..##...#...#.#.##..######..#.#.#.#.....#..##.......#.#####..#.##.#.##.##.##...#.#....#.#.##......##.#.#.###.#.#..####...##.#......#.###..#...#..###..###..#.##.##.##........##.......#.#....######....##..#..#.#...##..#.#..#..###...#.#.#...##.########...#.#.##......#.#####..##..##....##....##....##.####.#.##..###.#######.#.#..###.#.......#..#...#########..#..##..##....##..#.#.....#....#.###...#.#....#....#.#..##.#.#..##.#...#.#..#......#####..#####.#.#..#....##.#.##..##.#.##...#..#..#..#..#..#.#####..#...#....#.###.######.##..#...#.#.#.#..#.###..#...#.#.####.##..###..#.#....#..##.##...##..#.##....##.###.#.##.#.#..##........###.######.....##.#..#######..###.##.#.#.#######.#...####..#.##..#..####..#...###...#.####.#.#...#####.#......##.......#.##.##.##..#..###..##..##..##.###..#.........#.####.#.
#.#.#.###..##..##.###..##....#.####.#..##.##..#..#......###...#...#.##...###.##....#####....#.#.#..#########.##..#.##...#.##.#...#...######...#.#.#.##..#.####.#######.##..#####..#.#....#.##.#.#.#.#..#..###.##..###...#..###...####..#....#..##.#..#...##.....#.#.......#..###...#.##...#.##.#.####...#.####..#.#....##..#.#.##.#..#.....##..######.#.#.#.##.....##..#.#..#....##..##.##..........#.#..###.##..##..#..###.#..#..#.##..#.#.....#.####..#..###.##.#.#..##.#####.#..#.#####..##....##..####....#.......##.#.#..##.#...##..#.#.##..#..#.......##...##.###..#####.###.##.###..###.##...#....##.##.#..#..#...#.#..###..##.###.##....##.##..##..##...##....###.##.#.#..#.....#.....#.#..#.#.#.##.#.#.##.....#.#.####...##..#..##.#..#.....#.########.#####.#..#...##.######....#......#..#....#.######.##.#..###.####....###...####.####......###.#...#..####.##...####..###...###.##.#..###..##..####.....#.##.#..##.##.#.#######.#..#.##.##.#...#......####......#.###..#.##.##...#....#.########.#.#...#.#...#.###...######..###.#..#..#......##.##..##....###..##.......#..#...#....#.######.##..###.########..##.##..#...#..###.#.....#.#.....##...##.#.#..#..#..........##.#.#####..#.###.#..##.####...#.#...#..##.##........##.#..#......##.###.##.##.###..##########.....#..##.#.##.............#.#..#..#...##..#...#.#.#.###.###..#####..#...##..####.#.##..#..#....#.####.#...#.#.##.##.##.##..#.##..##..#.#.#####.#.#.####..#.##...#######..#.#.#.###.#...##.#.#.#....#...##..####...#.#.###..##..#..#..###..##..#..##..#.####...###.#..#....#####......###...##..##..#.#####.##..###.#.#...#####..#.#.#.#...##..#.##.###.#.###.#.#.#.##.#####.##..#...##.#..#.####.##.#.##.#..#....#.#.#.....#..##.#.###.#.##..##.###..#.#.......##.#..#.#####.##.####.#####...#.#...###.########.#..#.......#..##..#.#.#.#####..#########.#.#.#..#.#..#..#......###.##......#..#....#..#...####..#.#.#..#....#.....#.#######...#.##.####..#...#.#############.#.#######.#.#.#.####..########..###.#..#.....###....##.#.##..#...#..########....#.....#.#.#.###.#.###....#
..#.#....#.#...#####..#.#..###.#..###.###...#######.##..#.#####....#..#..#.#...##....##.#...####.#.#...##.#....##.#...#.####..##.#.##.#.#.###..##....#..#######.##.#..#.##.#.....#.###.#......#.##.#.##.#.##.##..##.#.........###.#...#.####.##...#.#...#.#.##.....##.....##..####....#.#..###..####.#####.#.###..#.#..#.#..##.#####.##.###...#.#..#.....##.#.####...####....#..##.#.#####.#....##.#......#..#.##.#.###.##..##..##..#.#.##.##.####.#..#...#......#.#..###....###..#.####...#.###.##.....#..####.###.#..#.#..#####.#.#.#.#####..##.###..#.######.####...###...##.#..##.#.#.#....#...#####.###.#..###..#..#.#.#.#######...####.......##..##.##.#.#.###.##.##.##########.##.###.#.....#.##.#.#.##..##...##.#....#.###.#.##.#.............#....#.#....##..#.##..#.#.#..####...##..####.##...###..####..#..###...##..#.##.##.##....#####.#....##..#..###.#.###.#.##...#.##.###....#.#...###..#.#.#...#.##.####.#..#.##.###.....#..##.#..#....#..#.####..#...####...#.#..#.####.##..#...#...#..#..##.#.#..#.####....#..#.#.#......#.#.#.###..##..###..#.####...#....##...####.##....#...#.#####...#...#..#####..#....#.##..##..#.##.###.#......###....#.#.##.#.#..#....##..#....#.#.##.#.#.###.#.#.##...#...###..#.#.###.....#......##.#.#..#####.#...####..##.#.#.#..#..#####..###.###.#....####....#..#......###....#.######.#...####..#.##..#.##.#.#.##.##.##..#...#....#...#.....###..#..#####.##.#.##.#...##.##..##.#..#..###...###.#..#########.#.#.#.###...#..#...##..##.####...#...#.###.......#.##.##..####.###...##...#..#..#####.#.###.......##..##....#.#.#.###.#.#.#..#.#..#.###..#.##.....####..#.###......#..######.#.#.#.#.###.###.#..##.##.##.#.##.#.#.#.#......#..##.....##...#.#..#.####.###.....##...#.#.####.####...#..#.####..#.##.##....#..##..##..##.#.#.#.#.####..#..######.###.##.#.####.......#.......#..#..#.#.#.#.###.##.#.....#...#.###....#.....##.....#..#....####.#.#.....#.#..#.#...#.#.###.#.#.##..#.#.#.###.#.#...#..###..##.##.##.##...##...###.#.#.....#.#.####.#.##...#.###.#..#.###.#..#####....##..##..###.###...#...#.#..#..
#.....#.###...####.##.#.##.###..#.#.###.###...#.......#..#..###.#.#.##..##.#.##.#.###....#.##.#.#...###..#...#..#####.##.#......###.##..#...##.######..##..###.#..#.###..#...#.####...##.....#####.#..##.##....#..#.#.....#.##..###.###..#..#.##..#.##.#.##.#..#.##.#..#..#..##.#..###..#.....#.##..###.#.#.....#...##..###...#..##...#.#......##..##.########..#..#.#.##...#....##..##....##.##.##...###....#.########.##...###..###..##...#####..#.#.##.#..#..##.##.#.....##..#..##.##...##.#..#.#########..####.###......##.......#.####.#.#..##.##...###..###....##..#.##..#.####.#.###..####.....###...###......#......###.####.#.....##.##..#.##.#.#...##..##..#..#.#....#.####.#.##.#.#.#.#.#.###.#.###.#.#.###.#.#.##.#.##.#....#...##..#..#.....#.#...##.#.#..#..#.#..##..##..######.##.#.##.####.##..#.#.###...###.###.##..#..##.#.#####.##.#..#...###.#....###.#.##....#..#..#...###.########.#.#.#...#..#.###.....#.##...#.####.#######.#.##.....#.#.#...#...##.##..#..###.##....####...##.####.###..##..#####..#.##...#..##....#.##..####...#.#..##..########..#.#...##.....#.#..#.##..#..#.#.....#..#.#.###..#..#...#....#.#....#.##....##..##...#######.##..##..#..#.#..#.#..##.###.###..#.##....####..#.##...##.#####........#..#.###.#.###.#########......#....#..#...#......#.....##.#........#..#....#.###...##.#.###..#..#..#....#..#....#.##.###..####.##..####...##.#..#.##.##...........#....##..##.###.#########.#..###.#...##.#.##..######.#.#####.###.#.....##..#.....#..####....#...#.#####.##....#.#..#######.##...##....####...#....#.#.###.#.##.#..##.##.#..#.#.#..######...#.###.##..#.###..#..##...####..######.#####.#..#.###..##..#.##..........###.###.....##...##..#.####..###..#.####.#####.#..#.#.....#..#.#.###..##..#..######...##.#.###..##...#..........#.#.#.......#..###.####.##.##........##..#.#.....#.##..###..#.##.#..#..#....##.##.##...##.#.##..#....#..#.#..#..#..###...###.#..##...##...##....##.##..#.##...###.###..#..#.##.....#....##..#..##...###.##.##.#.#.##....######..##..##..#######.#.##.#..####..##.#...##....#..
...#######.#.#.###.##.#..##....###....###.#...##....##.##..###...#.#####...#.###.##...###.#....#.#####..#...##.##..###..###.###.....#..#.#.##...##..###.......#..##..#.##.##....#.####.#..##.#.##.#...#.##.##....#.#....#....#.#.#.#####...#####..###.#..###..#...#..#..#..####.###.##.###.##....##.....##...####.#...##..##.###.#......#..........##...#.....#.#...#.##..#.#.####.#....#.#####.#..#.#.###..##.#.###....#.#...##..###..#.##...#.##...##..#.#.##..##.#.......#..#..#..#######.#..##..#####.##..#.##.......#.###...#...####..#.#...####..###.#.#...##.#....#.....#.##.##.#.#...####..#####...#..####.####..##.#####.....#.#.#.#..#.....##.#..#..#.#####...#.#..#.#.#######.....###.#.###..#...###.#.##.#..##..##.#...##....###...#.#####.#...###.###.###.#######..#..#...####.#.#.##.#.##.#.##.#.###..#.#####..##.####..##..#.###....##......##.#...#..#...##..#..##..##..#..##.#.....######........##..#.#.####.#.#...#..#.####.##..#..##...#..#.#..##.#..####.####.##..##.######..#...#...###...##..###..#.#####.#..##...#.#..##..#....##..#.#.###.######.#...#.##.###.#.#.##.#...#..#.#.....#...##..##.##......#...#####...#.#.##.##.#.##...#..###.##..####......#..###.##...#..#.#...##.##....####.#.#....#..##.#.#...#.#.##.##.....###...#...###.#.###.#####.##..#.###.#####...##.#####..##...###.#...#..##..#.###.#.......##.###.#...####.###.##..#..#.#.###...#.###...#....#..#.#.##..##.###.#.#.#.###....###..#.##..#.##..##..#.#....##..##..#.#..#.###.....##.#.#.###....#..#.#...##......#..###....##.##..##..########..#.#..##.##.......##..#...#..#.#.#.#....##.#.##.#.....#.....#.#......#.##.######..###...##.#.#..###...#.#.##..###.....#######..#.#####.##.######.##..###.##..######..#.#..###...#.#....#.##..###.##...###.#.....###...#.#.#..#....###.#.#..##..####..#####.#...#..###..####...#.###.##....#.#.#..#.#..##.......#..####.###..#..#.#.#.......##...##.##..####..##..#....###.#..#...#.....##..#.....#..##.##.........#.###.##...#.#..#.#####.#.##..#####.#..#.#.###.#..#....##.###.##..###.###...#.##.#.#..#..###.##....#..###..#.#.
...#.##.#..#..#.###..#.##.######..###....##..#..#.###.....#...#.#...#.###.#####.#.##.....######.####.####.##.#.#.##..#.#...##...#.#.##.##.#..#.#.....#.#...#####.###......#.#.##.....#####.#...##..#.####......#..#.##..###......#.#.#....#.#.#.#######..#####.#.....###...#.##..#.##..##.###...#.#...#.##....#..#..#...#....##.####...##.#.##..###......###..#...#.............###.####.#..#...##.##..#.#.#.##...#.#.#...#.#....##..#.###..#.##..#.###......##..#.####.##.#.....##......#.#..####......####..####.#...#..#..##..##.##.......##.##..#...#.###..##..#..####.##.#.#.##.#....###...###...#.##...####...........##.##.#....#...##.#.#.###.#..#..#.###..#.........###....###....##.##..#########.#......#....##.....##..#.#.#..####.#.###..#....####..#...#......###.##.......##..#.#..#.#.#.#...###..##..#.##..####.#.#..##.##........#.#.....##.......####..#.#....##.#####.#..#.###...#..##.#...#...###.#.##.#..##..###....##.###.#..###.#..#..##..###...##......#.####.#.......#......#.###.####....###..###...##.....#.#..#.#..##..#.#.##.##...#.#.#........##..###.#.##.#..##......##..#######.##..#.###.#####.#..##.#.##.##.####.....###.####.##.##..##.#..##..##.##.#...#.#.......#######.#.#.#..##.#...#####..#.#..#..#..#.#.#..##.........###.#.##..###.###....##.##.#....#.##.#...#.#.#...##..###...##..#.....#.#....###..#####.##.##...#...#.##.###.###.###..##...##.#...####.#.###...#..##...##.###..#.###....#..#...##.##..#####.....#..###.....####...#..##.#.#...###.#.#..###.#.#.###..##...#######.###.##.#.#....##.#.####.#.#.#.##..##.###.#...#..###.##.###.#....#.....##..#..#...#.#..##.###..#.#######.#.##.......##.##...#.#.#..#..###..#.#.###..##..##..#...#....#######......##..#......####.#..#.....#########..#..#....#.#.#.####.#.......#..##.#.##.#..#........##.#.####.###..#..##.#.##...#.#########..#.##.###..#.#...#####..#..###.#.#.#..##....#..#..###.###.##########....##....##..##.##..#####...#..#.##...#.#...##..##.########....##.####.######.#.###...###.#.######.#..##.##.#......##.#..#.####.#.#..##....####.##..#..#.##.#
#..###.#.#.#.#.#....#.###.###.#....#...#####..#..##.##.....##.###..#..#####..#..#...#....#####...#.###....#...#######.#.##..#.#.#.####....######...#..###.....#.###.#..##.##.##.##...##.######.####.#.#...#.##.#.#.........##..#.#.#.##.###..#.####.#.#..#..#..###........####...##.##..###..###.##.....####.#....##.#....##.#.##..#..#...###.....#..#.###...#......##.#..#...###.##...###..##..##.#.###.#..#...#....##.###.###....##.###.......##.#####.##.####.##.#.##...##..#..##..#..#######...###...##.####..###..#...##..#...#####..#########.#..#.......#.##.###.#.##..#..#....##.##...#..##.#.##..#.#..#.####.#.#....#.##..#..#...##...#..############.#.#...#..####..#..####.#.##.##...#####.#.#.#....###...##.####....#....##.#...#.###.#....#..#.......#...###....##########.#.#.##.#.....#####..#.#.####.####..##.##..##.##.#.##..####..#..##.####.####...#..#...##....##.....#.#...###.###.#.#..#..#...##....##.#.##..#.#####.#.###.......#..##..#####.##.##...#..#......#...#..#..##.###..##.#..####..##...#..#####.##...###.#..##.###........######...##.#####.##.#..##....###..#.#....###..#.#####..##....##..#..##....##..#..#.#.#.#.#######...#.######...#......##.#.##.###....###.#..#.#.#.#.###..##..#.#..###...#...#..###.#.#....#.##..#..#.######..#..#.#.#.#....######...##.###.#####..#.#..##..##..#...##.###..#.#.##.#####...#.######...###.#####.##.####.##.#...#.#.###.#..#..#...#.##..##....#.#.##.......##.##..#..##...#.###.#..#..#.##.#.#.#.#..#.#..#...#.....##..#...#.##.#...#.#....#...####.###..#...#.#.###..#..##..#.##.##.#.###..#.###...#...####.##.##...#...###..#.##..##...###...##.#....#.....###...#..##...###.#.####..###.#.##.#.#.######..#..###.#.#..###..####.######.#.##..#.#....###.#.#.#......##.#.#..#.###.##.#.#..###.#..#..#....#.#####..#.#.#..##..##.#.##.#....##.#.....#####..#...##.####..#.#.###.##...#.####.#..#.#...##....####..#...#.#.#.....###.##.##..########.##..#.##..####.#..#.#.#..#.#..######..##..#...#.####.####...#######.#####..##...#..###...#.#...###....#.#....##...##.####.....#######..####.#..##.#
######.###..##..#..#....#..#.###..##.#.####..###.#..#####..##.#.#.#.##..#.#..##..#.#.##.....####.....#..#..#.###.#..###.##.#...##.##..##...####.#..##......#.##........#.##..#.#.#.###.###.##.##.#.#..##.#...######.#..###.#.##..####...#..#...#..#...#.#..#..##.##.#.#.##..###..###..#......#.#...###...########...##..##..#..##.#.#..#.##..###.#..#.#...#.###..##....##..##.#.##..###.#..#.####.###...#....#....#..#######...###.##.#....##.###..##.####....##..#.###.###.##.##...####...#######..#..##..##...##.#..#.##...##.#..###..#...#..#.#.##.#.#.#...#.#.##..##.......#..#.#.##.#...###.#...#.##......#..#.#...#...#.###...#######..###.##...##.#.##....##.#.....#...#..#.#..#.#......#..#..#...####.#..#.#.##..#.#..#...##..#....#.##.###.#..#..##...#..#..#.#.#.##...####.#...###.#....##.#.##.#.....#..#.###.#.#.#..#......#.##..#.....#.....#..#..#.##.#..#####.#...#...##.##.##..###...####.#.##....###.#.....#...#.####...#........#######.....#..#..#.#.#.#..###.##..#####.#.....#######..#.###..#.#####.########.###....#..#..##.#.###.#.###.##...####............##.#.#.###...##...######.#...###...####..##....###..#..#...#...#...##...###.#.##..##...##.#.#.##.##.##..#.####..##..#.#####..####.#.##..###...#.#..###.....##..##..#.#.##.##....##.#.##..##..####.###..##.##..##..##.#.#...##..#.##...#.#...#####...#...#.##..###.###.#...#.##...###..###...#..##.###...##.####..#.#.#.#.##.#....##..###.#..##.#...#..#...#..#...##..####.####..#..#.###.#..#..#.#.##...#.##.##.#.##..##.##..#.##..#.#..##...###..###..#.#.........###..###..#..##.#.#..#.###..###..#..#...#.#...##.##...#.#..#....##.##.........##.#..#.#........###..###....#..#.......#.###.#.#.###.###.#..##..#.####..###.#....######...#.###.##..#.#....##..###..#..##.####..######.#####.#.#.#.#####.##......#..##......##.##.####.....#.###.#..###....#..##...##.#..###..#..#.#..##.#.#....##.####..#....###..#...#####..#.#....#.#..###.##.###....#....####.#...#.#.#.##.#..#.##...#..#.#.#.#.###....#..###...#..#.#.###...#.#...##.#..#.####.##....#.#.#.##.........#.#...###...#.#.
#...####.#.#...##.###....##.#.#..#...##.###..##.#.#.#.#.#####.###.##.#..#....###..##...##..######.###..####.#..##.####...#...#..#..#.##.##..##.####.#..##...##.....#...#.##.#..####.###..##...###....##..##.#.#..#.#####....##.......######.#...##...##..##....#.#..#....######.....#.......#..######.###.#......#.#.#.#.###...##.#.#.#.##..##...####.#..###.###...#.#.##.#...##.##.##.#....###.#.#.#.#.###.#..##..##.#.##...##.####...########.....###.#.....#.#.....#.#.#.##...#.##.##..#.#..####.#.#.#..##...##.###......#.##..#..####.##..##.#.....##...#..##.##.###...##.##.######.#..####...#..#...#...#..#.#.###....####.#...###......#.#####.##.#.#..#####...####..#...#...##.##....##.#....#......#.##.##..#...###...#.#.#..#.##.#.##..##.......##..#..####...#.###...####....####....##..#....##..#.#.#.#.####.##....#..####....#.##..#.#.####..###.#.#....##.#...#.#.####..#.######..#####.##.#####...#####.....##...#.#...##...#.##..##..#.###.##.##..###.##.#.##.####...##...#..##.#.##.##.###....##..#.#.###.#..##.##..####.############.#..###.#....#..#...##..#.#...##..####....#.#..###..##.#.##..###.....#.##.#.#.######.#.##.##.##.##.#...#....##.#.###.#......#...#....#.###..#####.#####....############.#.#...#..#.......##....###.###.####.#.#.#.###.#.......#####..##..##..##..#..#..#.#...#.#...##..######....##..###.##....##...#.........####...####.....#.###.#..#####..##......#.#..###..#.#.##.#.####..#..#..#...###...##.#.##....##......#...##..#.##.##..#########.###....##.###.#..####.##..##.#.......##..###....####....####.#...#..#########.#..#...#...###..###.##.##.#....####.#.#..#....##.#..##.#...##....#.#.#.......##..#...#.#.....#...#..####.#......###.#.#..#.##.#..#.##...#.#...###.#.#...#...###.#.##..##.##...###..#....##...#..##.#.######.#..#...##...##.#..##....##.#..#.##.##..#..###..##.##...##.#.#.....#..#..##.#.#..##.##..######...##.####..#....#.....###.#..#..###...##.##...#.###.##..####..##.####.#.##.....##..#####....##...#.#.......###..##.#.###...#..#..##...#.##....##....#..#.##.##.####.....#..##..##..##
.##.#.###..####.#.#.##..#.##..####...#.##....#..##.####..#.#..##.....#.#.#......##.#..##.#.#......##..#.#.#.##.#.#.#...##..#.#.#.#.#.#..#.#..#.#.######...#.#####.#...#.#.#....#.##.##.#.###.#....#...##.##...#.##.##.......##..###.#...#.#....####.#.#.####...##.....##..##..#.#.###..#.######.#.####...#..##.#..###...#..#...#.....#.....###.#.##....###.#..#..####.#.....###.##.###.#....#.###.#..#.#......#.#...###...###.#.#...###.#.##......####.##..########...###..##...#..###.###.#.##.....#..#####.#..#.###.##.....###.###...#....#.##..#######.##...#..#.#.#...#.......#.#.##..###..#.##..##.#..#.#..#...##.#..#.#.###.#####.#..#.#..####..##.#..##..##..####.....###.###..#.###.#.###.###...##.#.##.#...###.#####..##....#.#.##....###...#.#####.#.####.#.#..#.....#.##..#####.##.###..#...#.########...###.#.#.#...##.#....##.###.#..##......##.####.#....###..###.##.#.#...####..#..####..####.###...###...##..##.####..####..#.####.##..##....#######...#.#.#.##..##..####..#.#...#....##.##..#.#....#....#..####..#.#..#...#########..#...######.#....#.#####.#.#..#..###.#...#.#.#.#..#.#.####...###.##.##...#.######..#.######.....###...#.##.##.###.#####...#...##..#.##.#.###.##.#.###....#....#####..##......####.####...#.##..##.#.#######..##.##.###..#.######.#.......#..##..#.........#.#..##...#.#.#.#.#.##...##....#..##.####....#.##...##..##.###.###.#.##.#.#....##.##..#.#..#.#.#.#..#.#...#####.#.####..####.##....#....#.#...#...#####..#..#......##.#....###.##.######.#..#.##..##.#...###.#.##..###.#.#.##.##..##.#.#.##.#.#.#.#.#....#..######.#.....#.#...##...#.....#....#..####...........#.##.#...###..##.#...####..##.#.#.##.##..###...####.#..#.#......#.#...#.##.....#..#....#....##...####..#...##......#..#..#.####..#.#....#....##.#.#.#.#..##.#.#.##..#...#...##.####.##.#####....#..###.####...###.#########...#....#.....##...###.##...#..#.....#.####.#.######.#....#.##.#..####.###.#..#.##..###......##...##.###.#...##.#.#...#####.#..####.##....#.######..##....#.#....##..#.##.#.#.###..#.#####..##......########..##.#.##
##..####.#.##.......#...##.##..####.#..#.####..#...###.....#..#####....####...##..##...##...###...##.##.####..###.##.##....#####.#.####...#..###..##..###.###.#.#..#..#...###.#...##.##..#...#####...#.#.#.#####..#..#.#..#.###...##.##.#..#..##....###........#..#####.##.#....####..##.##...#....##.#.###.#.#.#.#.#.#...##......##...###.##.#..##..###.#...#.#..#...#.####.######.#.....#..##...#.#...#.#.#..##..#######...##..#.#...##...###.#....####....#..#.##...#.#..#..##..#####...###...#.##.###...##..#...###.....#.###.....#..##..#.#.#.#.#..##.#.####..#.#..#...#..#.##..###.###.#..##..#####...##.#..##..##.###..#...#.###...#.##..###.###..#....###.##.#####.#.#....#####...###..###.#.#..#..#.##....#.#..#....####....#.##..##...#..###.#.#.#.###.#.#...##.#.##.###..##...#....##.####.##..###...#.#.###...##.###.#...##...#..####...###....###...##.#....#.##....##...#.####..##.#.#..#.#.#.###..###....##..##..#.###.##..####.##.##..##...##.#.##.##.##..##.#..#.#.#.##.##...##.#...#.##.#......#..#.#.#.####.....#.###.##.......##.#..##.###.##.#..##.#.#......###...#.#...#..##.#####.....#..##.##.#..#..#.#####...#.##...##...#..#.#..#...#..###..##.....##.###....###.#####.##.......#.#...##..#..#.#..##..##..#.###......#.###.####....#....#####.......#.....#..###.#..###..######..##.#.#...##...#####.#...#.#.###..######.##.##..#...#.#...##.#.....#.##..###..###.....#..######.##...#.##.##.#####..#####...#..##.##.####.#.#...#..##.##..####.#.#.#.#...#######..#.....#.#.#.#.#..####..##...#.####..#.##.....#.#.####.##..#..#####.####.##.#.###.#.#..#..#####.#...#.#.###..#...#.#.#..#.#..##.#..##...#..###.#.....#.####.##..###.#....###..#....#.#.##.#.##...#.#.##.##....###..#.#....##.#.#..#####.#.#.####.##.#.......###.#.###..#####.##..#..###.###.#####.#.##.####.##..###...#..#.#.###..##.....#####.....###...##.###.#...#.##.#.##.#.###.#####..#.....#...#.#.#.#.#..#.###.#...##.#....#.###.##.##..###.##.##.##..#..###..#.#...#..#####.####..####.#####.##.##...#..####.##..##.#.###.####.#.#..##..####....#.#.##..#.##.####.#.#......#.
#.###..#...##...#..#.##...##.##.#..###.#.#.######...#.##...##.#..#...#.##.##.##.##..##.##.###.#.....#..#..###..#.##..###...##.#.##.....####....######..#.#..##....##.#.#.####.##.##..##.##.#........#.#...###..##.....##.....#..##..#.#.#.#..#..#..#..#######...####.##......#.#.##.###.###.#..#...#.##...#....#.#..#.#.###..########.#####....####.###....#..###.#...#.###.######.####....#.##.....#...#.####....#.###...##...#..#..##.#.#..##.#.#.####.#####..#.#.####..##..##.###.#.####...#####..#.##.#.#.#.####...#...#.#.........###..#.#.###.......#..#.#...#..#.####..#...##.#..#.....#.##.##.#####...#.###.#.#.#.#.##......####....#..#.#.##.#....##..###.##.#.#..###.....######.#.#.###..###..#....##..#....###.#.###.#.........####....#..##.#.####..#.#..#.#.#.##.#...#...##.###...##.##....#..###.#..#..###...##....#.#..#.#..####...#.##.##....#..#.###.####..##.##.#..#.#.#######.##.#.#.##...#.##.#.######.##.##.####..#....#.#.##.##.#.####....#.######......##...#..########.#...#........#.#...#.#.##.#....#####.#..#.#.#.###.#.#.##...###..#########.#.#.##..###.#............####.###..###..#.####..#.##....###....####..#..#.#..##..##..##....#....#.##..#.#.#.####.#.#....###.###.#.#####...#....#.#....#.######..##.###...##.##...######..###..#...####...#####..#...#####.##.#....##...#....#..#.##...#.#####.##..#.###.#.#.##..#.##..#.#.#...##.###..####.#.##...#..##....#.....##..###.#....#.##...##....###.##.#..###....##....#######..##..#.##.###..##.###.##.###...##...#..###..##...##.#.#.######..#####.....##.#.##.##..#####.##....###..####.######....#.####.#........#...##.#...####.#..#....#.####.#.##.##.#..#..##.##.####....#..#.##...##.....#.#...##.##..####..#.##.#####....#..##..##..##......#...####..###.##.####.#.#.##...##.#..#..###.##..#...#.#.###.#.#..#.##.##.#.##.##.#####.#..#.###.#..##.##..#.#.##.##....#.####........###...##...##.#..#..##...#.#######.#....#..####.....##..##.#...#.#.##..##.##.#...#.#......##.###.#...#..#####.####..##.#.####.###.....#...#.####..#....#..#....###.#.#....#.#.####.#.#..###......#
.##..#.#..##.##.#.#..###.#...#..###..##...#....#####.#...#...##...##........#...#.#...##...#...###..#####..##..#..#...#....#..##...#.....##....##.....#.##.#.#####.#.#....####.###....#....#..#.##.#.##....###........#.#.##.###.###.###..##.##..##....###..#####.#.#.####..##..###.#..#...#.#....####...#####..####..##..#..##...###.#.....#.##..###..#.####.##.##.#######.##..###..#..##.#..####...#...#..#.##..#.#......#..#..#..#.#####.###....##.#.#..#....#...##......#.#.###.#.##.##.#.#.###..##.#.#.###..##....##...###.#.#.##..#..#.......#.####.....###...####.##.##.####.#.....##...####.#.#.####..#.##.#.##.#..##...###.##.##.##..#.#..#....##.#...###...#.#..######.#.####..........#.#.........#.#.......####.##...####.##.#.##.#..##...#...##..####.#.##...###...#..##..#..#..##..###.##...###....###.##..####..#.##.##.######..#######..#....##.#.#......###.##.####..####..#.##.###.#.##..###.###.#.#.####.#######..#..#####..###...##.#...#.##.#...##....#....##.##....#...##....#.#######.#.#..####......###...####.#####.##.#.#.#######.#....#..##..##...#.#.#.##..#.#.#....##...##.#.#####..#.#.#...##.#..##.#.#.##.#.#..####...##.####.##....#.##....##.#...###..#.###.##.##..##.#.####..##...##..####....#..#..###......##.##.#..#.#..#.#.##..####.#.#.###...#.###.#..##...#.#######.###.#.##.##..###...###.####....#.##..#..###......#.#...####.####..##.#.#..#....#.#.###....###..###.#.#.#..#.#..##.###.#..###.#.#..#.#..#.##..#.##..#.###..##.##.##.##########..####...#.....##.##...##.#.#.##...#.....####.##.#..###.##.#..##.#.###..##..#..#......#.#..#.#.###.##.##..##.....#.###..##...#...###.#..#.#.##.##.#.#.###.#..###.#.##.##.##.#.....#..##.#.###.##.#..######.#.##.#.#..######.###.#..####..#.#####.#.###.#.....##..#..#.#....#.#.#....####.#....##.#.###.#.#..#####.####.###...#.##.#...###...#.#...#..#...##...#.###...#..#.##.....#..#####.##......#.#..##.##...####..####.##.##....#.#.#.#..#.#..##.#.##.##.##..##.######..#####.#####.......##.#.#.#.##.....######..#.##..#.#.....#.#..######......##.#.#.##..##.##..####......#.#..#
.######.##.#.#.#.#...##.#..###.##.#..###.####..##.#####......##..#...##.#...######..##..#...#....#..#.##.###..##....#.#.......#..#..#..#####..#.##..#.#...#.....##..###.#####..#.#........#.#..###.#.#.###..###....#.###.#...###..#.#.##.....#..#..##.#...##..#...##.##...#..#...###.#..####...##.#..#.##.#.###....###.#.#..#.#.##..#.#...#########..#####.####.#....##..#.##.#...##...#.####.##.####.##.#.####.##..........######..#...#....#...##.#.##.##..#####.##.#...#......#.#....####....#..###..##...#.#####..#..#..#.#.#.##..#..#..#.###.#...#......#.#.............#.#.##.##.#####.##.....###.##.######..#.##..#.##.#.#.#.....#...#.#......##.#...#.###...#..##.#.##...##..#.#..##...##.##.#######...##..#....#.....####..#...#.#.##.#.#.#...##......#....#.#.##.##.....#..###..##.#.####.....#.#....###.####.##....#.##....#.##.##.#.#..##..##.###.##..##..#.##.##..#..##.##.#..#.#........####.......####.######..####.###.##......#.##.....#........##.###.##.##.....#.......#.#.#######..###...##..#.#.#.######..#.#.####.#.#..##..#.#....######.##.##.#...##.##..##..#.###...###.#.####.#..##...###.#.##....####.#####..##..###.#.#.#.#.##...#...##..##.#..##..###....##.#..##..##.#..#...####...##.##.#####.##.#.#..####...#.#...###.#..#...#.###...#...#.#.#......#####..##..#####.#....#....#.#.##.####.##.##..#....###...#.#...#.....####.#.###.....##.##.#..#.##.#....#...#..###.##.##.#.....##.##.#..#.....#..##.###..#.##..#..###.#..#.#####..#.#.#.###....#...#..##...#.#.#.#####.####.#..#.#.####....##..#.#..#.#....#...####.#.#.........#.......###.##.#####...###..##..#######..#####.#.#.#.##...##...#.#####.#...#..##.##.#.#..###......###..#..#####...#..#.#.#.....#.....####.##.##...#.###.###..#..#.#..#...##..######.#.#...#.###....#.#...#.#.#..##.#.###.#.###.#.#####.##..#.##.#..##.#..###..##.#.#.##.##...#.#...#...######..#.#..#..##.##.#.##...##.....##..###...#.###..#.###....#.##.#...##....##.##..#..###..##..####...#.#..###...###..#.#.##...##.###.##...#..##..###.###.#..#..##.##.#...###.###.#..#...###..#.####...##...#.#.#.#..#
#..#..#.##.#####.###.#.#..#.##.##...###.#####..#.##.#####....####...######.##..#.###.##.#.###.....#....###.###.#.#...##.#.#.####...#.##......##.#..####.##....#....##.###..##.####...#....#####.#..#.....########..######.#####..###.##..#.#..#..##.##.####.#####..###..#...#####..#...##..#..###.##.#.....##.##.......#..#...##...#..#.#..#..#.#..#.####...##.###..#.....##.##.#..#.#...#..#..####...###..####..#.#.#..#....##.#.##..#....##..###.#..####.##..##.#...##.###.#..#.#.#..#.#..##.....###..#.###...####....######.....#..#.####.##..#####..###....#......##....##...###.#.#.#####..##.#...##.##.#..#......##..##...#...####...#...####......#.##.##..#.###.#..###.....#....######...###...###.##.###......#.####.####.##..#####.#...##..#.##.###...#.##.#.#..#..#.#.#....#.##.#.###....#####.##.#...#.#..#.#.#..#...##..#..##..#..#..#...#..#.##.#.#....#.###..#.#####....#..#..#.#..###...##.#...##.#..#..##.#..#.#..##...##.#....#.###..#..###....#...#.....#.####..####..#.##.#####...#.##....##..##.#.##.#..###...#....#.##..#..#.##...#..###..........#..##.##.##.#.#..##..#.##..##.##.#.#.#.###.#.#..##...##..###....#..###.#.###..###.#.##..##..#.#..#..#.#..##.#####...#.#....###.###....#.#####.#..#.####.###.#.##.#.#.##.#...####....#....#..##.##.#.####..##....##....#..#.#..#.##...##..##.##.#.##...###..#..###.#...###...##.##..#..#..#.#.#...##.#.####.#..###.##...#.###..##..#..#..#...###.#.####.###.##..####.#.##.###.##.#...#.#..##.##..##.###..#..#...#.##.###.##..#.......#.#..##.#.##....##.#..#.####...###..#.#.######..###.###.###..##....###.########.##..##.##.#.###...##...##.#..##..#...##..#####.###.####.##...###.#####..###.###...##.##..####.#.....##..#....###.#.#.####.#...######.#...#...#.##....#..#####....###.#.###.....###########..#.....#........#.#######.#...##..###....########.#.#..###.#.#.#....#####.#...###...#........###.##.#####..##.##...#..##..#.###..#..#.##.#..######.##.##.#...#####..#...#...#.###.#.#.#####.###...##..##..........##...#.##..##.##.##.#.###..#......##...##.##.#.##.#...#..#...#.##.##.#.
.#..#.###..##...##..######....##.####.###...##.#.#..###.####..#.#..#.#.#...###..#..###..##.#.#...###.#..##.#.#....#.....####...#.##...##..#...##.##.##.#.#..##.....###.##...##...##..#####.##.#######..#...###...#.#..#.#.#.#...#.##.....####.......#.####.######..###.#.###.#.####..######...####.......##.##.######..#.#..#.#.###.##..###..#.#.##..#.##..#.#.###.##..########...##.##........#...##...#.###...#.#.#.###.#####.###.####.##.#.####.###.#....####..##.......##..#....##..####.##.###.##.#..###..###..###.#.#....##....###...##...#..#.#....##..####..###...#..#.........##.##....##.##.###..#..##.#.#.#..##..#.##.####..#.###.##...#.#.##.##...###.#.###..##...##.....#..#.###.#####.##...#.###...###.####......##..##..##...#..#...#..#.#...#.##......#....#.....####......#.#....###.#.#..#...####.#.#.###.#.#..###.#..#.#.#.##....###.......###.#..####.#.##.#.#.#####.#.##.#..###.#######..#.##.##..#..##.#.###..##.#####..#.#..#..#..#.##..........##....##.....###.#####.###.##.##.#..###.###.#....##.#.##.##.##.##..##..##.####.......#.#.#.#..##.#..#.....###..#..##..#...##...#.###.#....#..##.###...###.##......##..##..#..#..#.#.###.###....#.##....#.#.#....####.#..##...###....#..###..#....##..#.....#.#.##..#.......#.#.##..#.#.#..#..###......###.###.#####.####.##..#.....#.##...#####....#...####.#.#..##...#...##....####..#...#..##..#####.####...######.##.##.#..#.#.#.#.##..###.####...#.###...##.#.#.#..#.#.#...#..#....###.##.##....#.#...#.#.##.#.....###.####.#..#.##.###..#.####.####.#.#.#.###.#.###.#.#..#.####.#..#..##.#....#.....#.#####..#.#..###.#.###.#..#####.#..###.#.##....##......########.#.#.##.....#####.##.....###.....##.#.###...#.#..#####.##.#####..#......#.#.#...#.......##..#....#.#.#...#..#..#.###.#.##...#.#.####..###.##.#.##....##.#.#.#...##..#.#.####.#........####.#....###.....#.#.#..###.#..###..#.#.###.#..##.###.....##.##.#.#...##..#....##.###..###.....#.#..####...##.#.#.####...########......#..##..#..####...##...####.#.....###..#....##.###...#.#######...##....#.#..#.####..#######....#..#
#...#..#####...#..###...#.#.#.#.##..##..####..##.......#..#.....######.##.##..#.###..###..#..#....##..#####.#####..##....##...#..##....#######.#####.#..##.####.....##...##..#..#..#.#..##.#.####...#..#.......##....##..##.##.##.#####.....#.#.#...###....#.#.#####.##.#######..#..####.#..####..#.#..##.###..###.#.#...###.#.##..#..#..#.#..#.####.#...#..#....#..###...#...##..##.#.#..#..##...##.#.####..####..##..##....#####..##.#...#.#.#####.#.###..#.....##.##.###.#.##.#...#.#.###...#.#.##.##.##.##..#.....##.#####...#.###.#..#.#..#...#..##.#..#.###.##....#..###..##..#.######.#..####..####.#..##.#.#.######.###.##..###.##.##..###.##..##..#.#..#.#####..#..#..######.......#.#.##.###.#.#.....#.#.#.#.#..#...#.....#..#.##.####.##.#..#.####.##.....##.##..##.#....##.##.....#.....#.#.#....#.#.##.#.######.#.#..###...########.#......#.#..##.#...###.........##.##.##...##.#.#..##...#...#....####.#.#.##.####..#..##....#.#.##..#.#..##.#..##.#....####.#######.##...#.##.####..#..###.#.###.########.##.#..#...#...#.#....#.#...#.##...##.####.#.........###.#.....#.##.#.#...#.#.....#.#..###.#...#..#..####.####.##..###.##.#.##.#....###....###..#....##........#.####.##...#..#####.##..##.#####.##.#.#..#.#.##.###...#....#..##.#.##.#...##.##.##.##..###....#...##...#.#.#...#.#.#.#.#.###...#....#.#..###.....##..#.#....#.##.#.#..#...##......##..##..##.###......###.#....#.#####.#.##.##.###.##.#.#.#.##...###.######.###.###...#...#.##..###.##.####.#.##...##.#..##.###..#..##.#....##...#.#.##..###....###.#####..#..##.##..#..####...#.#.#.#..#..##.#...#...###...#.....###..#####.....#..####.#..#.#..####..#.#.#.####.#..##.....##..#.#########....#.##..#######.#.#.###..##.#..##.#.##..#.###.#..##.###.#.#..#..#..#...####........#.#.#...#.#.##.##.#####.###.#...##.#..###.###...##....#....####...#..#..##.#.#.......#.#..##...####...####...####.#......#.#....##...##..###..#.#.#.####..#...#####.##.#.####.#...###...#...##...##...#.#.##.######.##.#..#....#.##.#.###....#.####.####..#######...##..###....##.........#.#..##...##.
.##.##.###..###.##.#.####.#..##########.###.#..#...###.....#..##.#.#...#.#.#...#.##.#.##.#.##.##.#..#..###...#...####.#.###.....#.#.....##..###.#...#.#.#..#.###.#.####.#######...####.#.#..####....###.#.....##...#....####.#...####...#.######.#.#.#..####...#.#...###.##.####.#..#...#.#..#.#..##.###.#.#..#.#..#.##.####..#....#.##...#....##.#.######....##.....#.#.#####..##.#.#.#.....#.#.#..#.#####..##..#.##..#..####.#.#.#..#...#####.##.#.##.#.#...#.##.......######..#..##..###..#.....####.###..#.##...#####...###.#....#...#.#..#.###...#.#.##.##..##.####....#.........#.####.#.#....#.##.###.#.##.##......##..#...#...#.#..##....##.#....##.####.#.##...###.##...#.####.....#....#...#####.####..##.#..##.##.##..##..#.##...#.#.###.##.#..##....#.....##..##.#..##.#..##.######.#..##.#.#.......#######.##.###..#...##.#######.###.#.##..###...#..#..###...####....#....##.#####...####...##..#...##.#..#..#.###..##..#..#.#..####....###..#...##...######...###.####..##....####.##..#.#####...##.#####..#......#.#.......##...#.##.##.....##.#...##.###.##..#.###.###.#...##.#....##..###..###.#.####..........##...###..##...##.....#.#.#...##........#...##.##...##..#.#....##.#.##.#...#..#.#.##..#.##.#..#..#..#....##.#.####..#.##.##.#.#.#.#.##.#.###.###.##.##.####.##.####....#.##..#.#######..#..##.#.#.#####.####...#####.###.#...#...#...#...#....#.......##..#..##.#.#..#.###..##..#.##..#.##.###.....#######.##...##...##...######..#..##.##..###.#####..#####.#.#...#.#.....#######.#.#........####.#..#.#...#..##.#.##.......#....#...##.#.######.##.###.###..##.##....#####.##..##...#####.##...#..#.....#...#.##.###.#..###.##.....#.##.###.##.#.###.####..#####.#..#.##.##.##.#####...###.#..###...##...#.##.##.####..#..#.#.###..###.#.#####.##...#.##.##.###.#####..##.#..#..##.#######.#.#.#.#####....##....#.....##########..##.###....#####.#..#...##.....#..#.......#....#..###..###..#.....##.#.#.#..#...####.##..#..###.##.#.##......#.######.###..##.#.#.###.##.#.###.##.###.###.........##.#.##.##.#.#.#..##.#.#.....##..#.#...###
.#....#.#....#.#.##..##.#.#..##.#.###.#..#.#..#.#...##..#......#.#.#....###.####.....##.#.#...###..##.#....#.#.#.#.#..###...#.#..###.#....####.#.#.....#.#....##.....##..#..###.#.#.#.##.####.#.#.#..#..##..#..#..#.....##..#..###.#.###.#.#######..###.#..###.#..#...#...#.######.###..#..##....#..#.#...##....#.###.###...#....#####.#..#...##.##.##.##.#.##.#.#.##..#######.#.#.##.#.##.#.###.#...##..##...#..##.....###....#..#..##...#..##..###.######....#.##.###.....###.#..#...#.#.###..#######.##..###...##.#...#....#..###.###...##....##.#..#.####.#..#..#.#...#.#....#...###...###.#.######.##..#.#.#.#.#..#....####.##..#...##......##.######.#.#.###.#..#.###.#..#.#####.###.#.#...........#.#..##.....###...#.#...#..#.#.##....##.#...#.....#.#...#..#..##.##.#.......#.#.##.##.###.##.#..#..#..#.#.####....####...#.#.##.##.##.#.#.###.#..###..##...##...##..#######..#....#.####.######..#..#.#.....#.###.##.#..#.##...#.###.####..#..##....##...##.####..#...##..#####.#.####.#...####.#.######..#..##.####.##.##.#....#..##..#####..##..###...#.......###.##...###..#.##..##.#..##.##.###...######.###.##.#.#.#.##..#.#.##.#.##.#.##....###......#######.###.##..##..#####.##.#..#.....#..#.######.#.##.##.....#..#..#####...####..##.###.##.##.#.##......#.###.##.###.#..........##....#.###.##...###....##..#.#.##.#......###.##.##..###...#....#...#........#..#...##..#.#...#.##.##.....###...##..###.##.....##...#....#..#.#...#...#.#...###..#..##.#.#.##..#.#.#.##..#....#....###.#.#.#.#########....##...#.#..#..##...#.##...#...#..#...###..#.#.......##.#.#.##...##..###.#.......##..####...###.##.#....#..##.###...##..#..#.#....#.#.##..#.###.#....##.#.#.#.##..#..##.#...#..#.#..#.###..###.....#...#..#####.........#.##...#.#..#....#.#.#.##.#.#########...#.##.####.####.###....##.#....####..######.####.###.##.#..###.#..#.#####.#...##...##.##.###.##.#...#.##..#.######..##.#..##.###.###..#.##.#...###.#..######.#..#..#.##.#.###..#.####......#...#..##.###.#.#.##....####.....###...#.#.##.####.#.#.###.#################.#...##.##..#
.#.##..#.######....###....#....#.#######.##..##..##.#...#.###.##.#...##.###.####.#........##.####.##..#..#.#..####.#...##..#.#.#....#......#.#..####.#.###.#...#.###...#..#..##.#.##.#..####..##.##.###...##.#.#..#.##.#.....####.##.###.##.#.###.#.#####..#.......#...#....####....#...#.#####.##..#.#.#.#.###.#.##...##.##...##...#.#.#.....####..#.##...#.#.##...###..##....#..#....#..####..#.#.##.....###.##.#.##.#####...##.#..###..#.###..#..#.#######.##...#..##...#..####.#...#.#.#.#..##....#.#.......#.#.#.#...##.#.####...#..#.##..##..###.##.###..#.#.....##.####...#....##.##.#.#.####....#.#####....##..####.#.#.###.#..#....##..##.#.#..###.#.##.####.#####.#......#.###...#####..##.##..#...#.#.####.#......#.#.....#..##.#...##...##.#.###....#.###....###....#.#..##..#..#.#..##....##..#.#.##...##.##...#..#.#....#.#.##..#....#...######...##.#.#####.##.##....#.#..#.#.##.###.##.##..##...#.#..#.###......##.....##.#...###.#####..#..###...##...#....###.#...###...#..###..#....#.###..##.##.#.#..........####..##..#.....#####...#...##.##.#.#..######..#..#####...#..###.####..#...#.######..#.....###.#.#..#..####.#..#.##.#.###.#####..##.###.##.##.#...#####.##..#.#..####.#.....#...##..#...#.#......#.#...#.#.#.###.##.#.#.#..#..#.#....##..#.#.#..#.#.#....#.##..##..####..#..##...#..##.#...##..####.#####..#....###.#..#.#####...##.###.#..##.......#.#..#.##.###..#.#..##.###..#.##.#.#.#..#.#.###.###....####.##...####.####.#.###....###.#..##.....#.#..#.....#.##.##..##.....#...##..#.#....##.#.#....######..#...###....#....####..#..##..#.##...#..#.#####.#####.####....#...###.##.###.##..##..#.##..#.#####.......#.....#...###.####.#.#.##....#..#.#.#.....###...#...#.#.#.#..#.##.#.#####..##.#.#.....#.##...#####..#.#####..#.##.#....#.#######......####...#.#######..#..#######.#...##.#.#.###.#.#..#.....#.##.##..#####....####.##.#.......####.#.#..#...#..#.#.#....#.##.##..#..#..##.#..#.#.#..##.##...#.###..#####.##...#.###.##....###....##.#####..##.#.#.....###.####..#.##.#.###...##.##.##....###.###....##.......###.###
.....####..##.....##..######..####..##.#.##.##..#.......###...#........##..#.#...####.......###..#.#####.##....###..##.##.#.#.#.##.#..####.###..#..##.###.#.#...#.#.###.##.####..###..#...##..##..#.##..#..#..#......##.####...#.#####..##..##.####...#....#..#.#.#..#.##...#....###...##..#.###.#.###..####.#.#.##.#.#....#.#.###.##..#.###.#.##....#.#..#...##....#..#.##...##.#.#.....###.#..#..#######.....##.#.#.###..#.###.#....##.##..#..##.#.#.###...#.##########.####..#.#######.#..#.#....#.##.#.#.....###........#..#.##..#.#..###..###.#...#....##.....##.##..###...##.#.###........#..##.####.##..####...##..#..#.##..#...###.#...###....#...##.######..###...#..####..#.##.####...#..##.##.#.###.#..##..##.#.#..###....#.##.###.#.....#.##.##....#..#.#.##.#.....#.....##.###.#.##.##..#..##.##...##....#...#..###.#.##.#.#.##...###..#.##.#....#....##..#...#..##...#.#...#.#....##...##.###...#.####.#..###...#####..##.#...#......##.##.#.##.##.####...#.###.###..##..#....#...###..#..##.#####.##.#...##.#...#..#..#.#.#.######.#....###.##.##.#.##..###..#....#.#.#...#..##.#...####..#.#..##.######.#...#.####...##.....#....#..#.##..#.#####.#.#..#..#########..######.##.#.####..#.####...##..##.#.#.......#..#..#.#.###.#...##...#.#.##.#.###..##.#..#..###..#..#....##..#.#....#...##.##....#.#.##.###..#...#.#####.#.#..#.##.#####..#.#...#..##...###..##..#..####.#####.##.......#..#.##.##.#..##..###.##.##...#.##....##......#.###.#.##.......#...###.#.##.....##.##..###.##.##....#.##.#.#.#...###.#.#.#####...##.##.##..#....##.#####.##..##..#####.#...#.#.####.#.#..####.##...##....#.###...#..#.###..#.##.#.#..####....##.#...#####..##.##.######...#.###..##.###.#.##...###.##...##.###.#...#.##.#...####........##.##.##.#.##...#.#.###..#..#.#####.#####.####....#..#.#.##...##.######.##..#...##.#.#...########.#..#...#.#..#########..#.#..#...#.#..##.#..#...##.#.....#####...##...##...##....####.#......##.#.##....####.#..##...####..#.#...#.#..####.##.##.####.....#..##..##.#.....###...#....###.######.#.#..#####.###...#...#.##...
##.##.#.#..###..#.###.###...###.###..#####.###.#....#.####.#..#.##.#####..#.####.###.#.#..#.###..##....#.##.#...#...#.##..#.#.#...##.#.#..#.##..####..#......####.#.######.###.#..###.#.####.#.##..##..###.####..#.#.####..#..#.####.##..##.####.##.####.##.#.######..#..##..##.##.#..#..####...##..###....##....####.#.#####..#.###.#..##..#..#..##.######.#.######..#...#..#.#.####...###......###.#..####.##.#...##...#.#...####...#####....#.#...#...####.##.#.##.#..#.####..##.##.#.##.###..#..########.....#..##.##.#....#.##.#.###.####.##..##....##.#.#....#..#.##.##..#.#..#####..#....##...#.#...##..#...##..###..##.#.#..##.####.#...##.#.#....###.#..#....#.##.##....#.##...####.#..#.#..##.#....####.....##.#.#...##...##...#...##.#.###..###...#.#..#..#.#.##....##...#..##..##.#..###.##..#####.#.####.#..##.##....#..#...###..##...##.#..#.#.#.#..#..#########.#...####.#.##.##.#..######...#.#...##.......##.#.####...###.#...#....#.#.#.##.#..#..###....#.##..####.##.###.##.#...#####.##..#....#......########....#...##.....#.###.#.##..#.....##.#.###.#.##...........##....#..#..##.#........##.....##..####...#....#.#..##.##.#.######..#.###....#..#........#.##.....#.#####..#.....###.##.#.#...#.####...#.#..#.####....####..#..#...##..####....##....##.....#.#.#.##.#...####.#.....#.#...#..##....##.....#.######..####.####..##.##.#.##..##.####.###.#..###.##.#..##.#.#.#.#.#..##.#..##.##.#.#.####....##.#..##.###.#..########.#..##..#....##.###.#..###...#.#####...#.#..#..#..##.#.#.#...........#.###.##.###.....#......###..##.###...###..###.#....#..##.##.#######..#..#...#.##.#.###.##..#..###...##.##......#..#.#.#.#..#.#..###..####...###.###.##.##.#..####..#########.#...#..##.###.#.#.#......###....#.#..#.####.##........#.#.####........##..#....#.##..#.#.#..##.#.###..###.#...##...###.#.#.###.........##.##..#####.#.#.###..#..#.#...#.#...##.#####....#.####.##.#..###...#.....#..##.#....#####.#.#.###..#.####..####.##......#..##..##.####..###.......###..#...###.#..##.####.####.##.#.#..#.##.###...#.###....##......##.#.#
#...#.#.#####.####.###.###.#..####..###.###...###.#.#.#...##..#..##...#.....###....#..##.#.##....##..#.#.####.#.#..###.##.##.#...#.#######.#####.....##.#.#..#######..####..###.##...####...#.##....##.####.#########....###..###..#...#..#....#....#.#....#..#....#.....##.##..######.#.##..#####..##...##....##.####.#####.#####.#.##...##...##....#.##...#...####..#...####.###.#.##.####..#.#.##..##..#.#..#.#####.#..#.##.#...#.#...#..#######.#.##.#.####.#..##..#...##.....###..#.##.#.....####...#####.###.####...#.#####.#.##....###..#.#.##.##.#..####..#.#..##.######..#...#.#.....#######..##.##..#.#.....#..##.#..###...#.##.##.#.#...##.#.#.##.##.#.#####..#..#.##.#####.#.###.#.#.#.##.##.#####....#.##.#...##.###.##..##...#.#..#.#....###.#.###.#.##.####..##.#####.#.###.#..#.#....#######.#..#.##.#...#.#.#.##...#.##...#..#.#.#.#####.#.##..##.....#..#.#.#.....###....###..##.#.##...#.#.###.#.##.#..#....###.#.######.....#####.#..#..###.#.#...#.#.##.#....###.....##..#.##..#.......#.#..#..#....#..###.#.#.#####.#####..#.##.##.#####....##.#.#.##....##..#.....#.#..###......#####.####......####.#..#...#####.#..#......##.#.###########.##.#..##.#.#....####.#.#.####.#.###.#.#..#.#.##......##.##....##.#..#..######..##..#.#.#..#.##.#.#####....###...#....#.#........#.#.#...###..#.###...##.#.#.#...##.....#....#####....#.#.####...##....#..##..#..#.##..#....#.##...#..######.##.#.##.##.#..######....##...#..#...#.#...#..####..#...#.###..###.......#.###.####.#.#....##.#.#...#.##..#.##...#.###.##..#####.#.#..#.#...#...###...#..#....####.#..##..#.......##..###.#####..#...#.##........#..#.##..#..##....#.....##.###..#####...#..##.#.###..#..#####..#..#..##.#.#.#..#.###..##..###.....##.#.####.##.#..##.........##.##..#.#..#....##.####.##.###..........##.....#...#######.##..##..###.##..###.###...#.#...##..#.#####..#..##.######.....#....#######...#...#..#.#.##....##..######.#.#.##.##.##..#.##.#####..##.##..##.#....###.##.#..#...###.##.#.####..##.#.#.#.#.##.......###.#####......##.####.#..#..#...####...##.##...#.#.
#.#.###.#.#.##...#.##...#..#########..#...#..#..##.#.#.#..##..##...##.#.##.###.#.#..##..#.#.#....#..#...##.......#..##.#....##.......#....###.#.###..#..##.#.#..##.#.##....##..##.###.#####..#.###..#.####....##.####.#.##......###......######.#...##...####.#....##.##...##.##..#..##..#.##.#.##...#..##.#..##.####.##.##.##.##.#.#.#.....#.#..##.###...#.##..#..##..##.#...#.#..#..##........##.####..#..#....#.###.#....#.##.###..#..#.#.####...##.#.#.....####..##.#.###..#.###.##....#.#.#.#.##.#.##..#.##.###.....#.#####.#....#.###..#...#..#...#...#..#.####.#....##.#..###.#####..#.#####...#####.###....###.##..##..#.........#.#..###.###...#..####.######...#..##.#..#.#.#.#.####..###.#..##..##....##...#.........##.#...#..#####......#.###..####.#..#.###..#####.#.#..##..#.#......####...#.#.#..##....##..#####...###.#.##.##....#.#####.#......###..##..#....##.##...##.##.#....#......#..#.##.#####..####......#....#####..#..##.##.....#..####.####..######..#...##.#.#.#..#...##.##.##..#.#....###...##...#.###....#.##..#.##.##...#............#...###.#.####....#.#...####..#..#.#.#..##.....#.#..#....#.......#....#..###...##..##..#.###.#...#.#.....#.####..#.########.##...###..###...#....##...#.###......#.#.#....####.#.##..####...####.##.####....###......#....#.##..#######.####...##.#.#.#.#.###...##..##..#...#...##..##.#####..#....##.#.....##.#.##..###..##.####.##..###.##.#...#.##.#.##.###...###.#...###..#....###..########..##.#....#..####..#..###.##...##..##.#.#.#...#...###.#........#.#.#.###..#..#####..#.##...#.##...#.#..####...####.#...#.#.#..##...###..#...##.#.#..##..##.#..#...#..#.###..#####.#.###..#.#.....#.###..###.######.##...####.#.##..#...###......#..###.#....###.#...##...####..#####.#..#####..##.###.#...##..#...#.#..#..#.#.#.#.#......####....####.#.##..#..###.####.##.#.#######.#####..#.#.##..#..#.####..###.#..#.#.#.....###.#..#...##..#.#....#.##..#.#..#.##..#.##.###.###...###......#.#...##.....####..#...##....###.###.#..####.#.#..##.#..#.#..##...####...####.#.#..###....#....#..#.##.##.#.
.....#.#......###...#########.###.#.##.#...##..##...###.###.#..##.#.##..#####.#..#.######..###.#..##.##...###.####.#.....#.###.##.##.#..#..##..#.##.......#..##..##..###.###.#.#.##.##..#.##...#.#...##.###.##..##.###.###.....###.##.###.######..#..#######.....#.#.......##.#..##......#####....##.##.####......####..#...#.#####.###.###.##.#.#.##......##.###.#.#..####...#..#....##.##..##..##..##.#..#...#...............###.#.####..#.#.#.#...####...##..#.####....#...##.##..###......###..#.#...#......#...#.#.#.#..#.###.#.###.#.....###....###...#.##.#.....##.###.####....##...##......#.#.#....#.####..#.####.#..#....#.#.##..##.#.####.#...#.....#..#.#.#####.######....#.#.#.#..#.##.#..#...#.#......#..#.#.##.####..###......#.###..#.##....#.#.##.#.##.#.###..#####....#..#.#####.###.#..#.#.###.#..##..#.#....####.#.###..##.#.##....##.##.#..#..#.####..#.#.##.####..#...#...#....##.#...#.....##..##.####..#.####.#.#.#..#.#.....#..###..#....#.#######.##.##..#.#.....#.###.##...........#.#....##...#.....#.#...#..###.#..##.##..##....##...####.#.......#....##..#.#.#.#...#.#.#.#####.##.#.#..###.#...###.###..##..#.###.#...###.#.##....#..##...##.#####.#..##...#...#.#.#..#..##.#.####.#....#.#..###.####..##.........#.##..###..#..#....##.###..#...##.#.#.#............##.#.##..##...####..#..###...##..#..##.#...##.#...#..####.###.#.##.#...##.##.#.#.##..#...#.#.#.#.#..###.##..#....##..#.#.##.#.##.##...##...###..##..#...#.....#..#..#...#.#.#.#.##.#####.#.#..##...##..#....#.#.###...####..#.....#####.#.####.#.#...#....#.#......####.###....#.#...#.#.#..##.##..##..#...##....##....##...###.....##...#..##.#.#..#.#.##....###....##.#.#.#.#.####.#..#..#...###....#.###.#..#..##...#..###.....#.....#.#.###.#..###.#.##..#.#.##.#....#####..#.#.....######...#.##.###...##.##....####..#.#..#..#.####.####..##....#####.####.##.##.###..#.#....###..##.#....#...#.##.#.#...#.###.#.#.####..#.#.#.#..##.#####..#.......#####.####.#..###.####.#..#.#.#.#####..#.#...#...#.######...#.....##.#.##..###.#..##.#...#.#.#...#..##...##.###.#.
##.....####.###..#..##..##.###..##.#.#.###.###.#.#..##..##.##.##.###.###.#..#.#.##....##..##.#...##...#..#...#####.#.###...#..#.####..#.....##.#..##...#.#..###.####..#####....#..#..#.###..#.##..#.#.#...##.#.##.#....#.###..######.#...#...######.#......#.....#.##.....#.##.#.####...##...##.#.####..###.#.###....#..##.....##.......#.#.#.##.##....###...#......##..#.###.#.####..###.#.#.#.#.#.#######....##.....#.##..#......##.##...#.#.#.##.#.######..##..##.#.##.#.....##..###...##.#.#...##.##...##.#.......##.#..###..#.##..#.###.##.####.....#.##..##.##..##.#...####.##.######....###.###..#.#..#.#..#.##.####.#....##.#..###.##..##..#####..##.###...#....##..#..#..#..##.#..#...#..##..####..##.####.#...#.###.#...#.#######.####...#.#.#......#..#####.#...#####....###.####...#...#.......###.#.###.#####...###.#..##..#.#...#.#..#..##......#.#....##.##.#...##...##..##.#######..#....#.###.#..#.##..###.#.###....###..#.#....#####..####.###.#.#....##....###..#..##.#........###...#..###..#.#.#.#.##.#..#..#.#.###....#....###..#.#.###.#...##.##.##.##.#.#.#..............#.#####.####.#..####....#.....###....##..#####.#.#..####.#.##...##.#.##.###...###.##...#.#...##.######.#.#...#...#....##.#.#.###..#..#..#...#...####..#...#...#.#...###.####......#.#...###.####.#.#.#.#..#.##.#..#.#..###........###...#.#....#.##.#..#....#....#..##..##....##.#..###.##.#...####.#.#....##..####..###.....####..#..##.#.##.##...#.##.#.#...##.##..#......#.##....#...#.....##..##....#...####.#.......#..#..###..###.#.#.###.#.#...#.##..##..###.###.####.#.#####.#.....###.......#.#...###.....####...#######.#..###.##..##..##...##.###.##.#..##...#..#.#.#####.....##..###.#.#.#...##..#.....#..##.##.##.#..#.##.##...##.#.#.##...#.##..####.#.###.###..#.#..###...##.#..#.######.#..###.##....###..#.##...#.#...#....#.#######.##...###########.....#.#...######.###...#.#.......#.#.###..#..##.#..#...###...##.#..######..###.#.###.#...##..#.####..#..#.########..#..##.#.#########.###..#...#.##.#.#########...#.#..#.####..#.##..#.#....####...#####
..#....#..###...#.#..#.##....####.##.....#.#.#.#......#.##.#..#.#.##.##..##.##.#..#.#....#.#.###.#.#####..##...#.#.#.....#....#.#..#.##.#.##...#######......##..#.###..#......#####...#...#...##...######..##.#...##..#..###.#.#......#..#.#.##.###...#.#.#...##....##....##.#.####.####.##......#..#..####.#...##..##.#..######.#..###.#...#..#..####..###.####.#...##.#.##....###.##..##.#.##..####..#..#..#.#.###..#.##.#.##..#..#.#.#.#.#.#.#..##...###.##.###.####.....#.#..#.....###...#.#.....###.###.#..#...#.#.###..#.#####...#.##...##.##.#..##..#....#.######.#.####....######.#####....##..#.#..##...###.##..##...#.##..#.##....##...#####...##...##.###.....#.##.##..##.#.#...##...#....###..#..#.#.##.###..##.##.#.##.##.##.#.##...##..##.###...####.......##..#...#.#..####.#..#####.#.#..#.######...#.###.#...#.#####...#.#....###..#..#....#..##.#.#..##.#.#..#.##..#.#..####.#.......###.##....##.#..##############.##...#.#....###...##########.##..##.##...#.#.#..#.#.##..#.###.#.##...#.##.#..#.###...##.#...##..########...###..#....#..#.######..#..#..#.##.#.######.#.##.###.##.##...#.#..##.....#......###.##.####.##...####..#.####..####.#.##.#.#.###....#.#....##..#..#..#.####.#.#####.###.#.##.#####.#..#..####...##.#.#.#......##.####.#..##.#.......#.#...##.##...#######.#####.#.##...##...#.##.##...###..#######...#.#.##.##.#..#.##....#.#.#.....#...#.########.#...###.#.#.##.#.#..####.###.#.###.###....#.....##..#.....###...##....##.######.##.##..#..##.....#..#...#..#.######..#.##.#..##.#..##..##....##..#####.....#.####.#######...#..#...##.#...#..##..##....###..##.##..#.#..##.##...#.#.#.#.#####....#..#...#....##..##.###....###..###.#..##..##.#.####.##.#.#.....##.#.#.###.###.#.####.###.###..###.....##.#.#.###.#.#.##..#.......##..#.####.####..#.#.######......####.##...#.#..###..#........##.#..#..#........#..##.#.###.#.##.#....#####..#.######.....#..##.#.##....#..#####.#.##.###.##.###....###....##.#..##.###......#..#..#.#.##...###..##..####..#.#.#....##.#.#...##.#...##......##..##.######.#.###..#####.##.#
#######.#...#..##..#.##.#...#..#..#...#..#.########..####.###.##.#.#..##.#####.#..###...#.#..##..#.###..#.##.##.##..#...###...##..##..##.#.#.###..#.......###....##..#..#.#.#..#.###.#......#....###...###..#.###.##.#.#.##.##.#....#..#####.#....##.#.##...#.##...###..#...###.#.#####.#....#.#.#.#.#..###...#..##..#.#...#.###....##..#..###...###....##.###.#....##.######..###.....#..#.##.#...#.#####..#.##.#.####..#.###..###.#..#...########...#..#...#.##..#.####.##.#.#.#..##.##....#..#####..#.##.##.##..######..###.##..##......##.#.###...#.##....#..#..###.###.#.##.##...#........#.#.#..#.##.#.##.#..##..#.##.####.##.######.#.###....##..##.#.#####...###..###.##..#..##.#.#.#########......#.#.##########.......#.#...#.....#.##.##....###.###....#.####..###..#.##.#.##.#.#.###..#..######.#.#.#.#...##....#.##.#...##...##..##..#.#.#.###.#.#...##.####...#..#.#..##.#..#.#..##..#.#.##.......#.#..##.#.###.#.###.#...#####.##.####.###...####.##..######.#######..#.#..#####.........####.##..##..####.#...##..#.....#####....#.#..#.##.......#....##.#.#####.#.#.#####..#.#.#####.#####....##.##..#..#..#.....#####.##.....####.##.#####..#..##..######..##..##...#......#..##..#####...#..##...###...##.#.#...##...#.#.##..##.#...#..####.###.###.##.##....#..#.##....#.#####..##...#.###.#..##.#..#..##.###.###...##..#...#.#######..##....####....#....##...###......#.#..#..##..#....###.......####..##....#..#...#..###....##..##...#.#.#.##.....#...#..##..#####..#.#######..#..#..##.##..#..####..#..##.#.###.#.###.#..#.#........##.#.##.##.#.#.#.###..##.#.#####.#.####....#....##.##.##.##.###...#.####.##...#.####..###.####.#.#.#.##..#.#.#..#.#######...##..##.####.##..#.##..##...##..##.#.....###....#.#.#.#....##..##...#.#...#.#..###.......#.#...#..###.#.##...##.#..#..#.#######.#....####.#####...#.##.##.#.#.#####.##...#.#.#.##..##.#.#.#.#...##.##.##..........#.#..####.#..#..##..#.#.#.......###..#####...#.#.##..##.#.......#.#.#.#####.###.####.#.....#...##.#..####.##.###.#..##..###..#...#..###.#..#####..##....#.#.#.##.##...
..##..#...#...###.###.##..###.###...####.####..####.#.##..#..#.#.##...###..###..###..##.#...#..#.####..##.###...#........#..#..##....#.####.##.##...#....#####.#..#......##...#####..#.#...........#...##..##.#..#..#.#..##......#.#..#.##.##..#.#.#....#...#...###..######...###..##..##.##.#...####.####.##.####...#.#######.##.....#.##.#.#..#...#...##..####.#.....#######.#.#.#.....#.#.##.###....####.#...#...#..######.#.###..#..#.###.######......##...###.....##....#..#.#..####.##.##..#.###...#.##.....#......#....#..#...###.#...#..##....#..#..#.#.####....#..##.####....##.##..#.#...##..######.###..##.#..#..#.##..##..#.#.#..##...#...#..#..###.##...#.##.###.####.##........##.#..#.#...##.##...####.####..##..#..##..#.#.#.##.#..#....###.##..#...##..##..#..#..##.#.#...##..#..#....#..##.####.######.#..#..##....#####.....###.########.#....#.#########..###.###...##.#.#.#.##.#....##.#.##.#...#####.#..###..#...###...#.####.##....####.....####.###.##.#####......##..#...#..#.#.#.##...##.#.#.###.#..#####.##.##.#...#.....#...##.###..##.......#.##.#.#.#...##.####..###.#...###..##.###..##.#..####.#.####.##.....#####.#####.##....#.###......#....###.#....#.####.#...#####..###.#..#####.#..#.#..#..###.#.#..#.###.#.###.###...#...#.###...##.....#..##...##..#.#....##..###.#...##....#.....#.....#...##.#..##.....#.#....##..#.#..##.###.#.#.....#..##.....#..###....#.##.##..####..######.###..#####....##.#.####..####...#..##..#.###.######.#.#..#.#..#...####.#...###...###.#.#....##.#.....#...#.#..#..###..####.#.....#.##...#......##...#####.#...#.#.#.#..#.##.####..#..#.#......######......##.#..###...##...#######..###....#..#...#.......##...#...#######......#.#..###..###.#.#.#...###.#....#..#.#.####...#.#.#....###..#....#.#..###....#.##..##...###.....#..##...##.####.#####....###........##.####..##...#.#####...#...###.##.#.#.####...#..##...###...##.#.####..#.#...#####....##.....##.###.######...##..#.###...#...#.#....#.##.##.####.....#########.#.###...##.###..#...###....##.#.##...#..#.....##......#.#.#.#.#...#
#.###.##.#..#.#.#......###.##.#..####..#......##.#.#..#.#..##.##.#...##..#..###..#.##.####..##.#.#..#.##.##..####..#..###.#..##..#####.#.##.#.#.##.#.###...###..###.#...#..####.##.####.#.#..####..#..##...#...##.#.#.#.####..####.#..##.##..#.##..#..###.......#..#.#..#.#..##.##..#.######.#..#####..#.#..##.#...##..##.##...#####...#...#####.##.##..#.##.###.#.###...##.##.###...###.#..#...#.#.####..#...#.#.##.##...##.#...#...#...#..##..##.##.#.#..###..#.#...#####..######.#.###.###.####.###..##....#.#..#..#..#.##..##...#.#.#......#.###.#.###..##.#.##....#####..#..##.#.#......###...#..##......#.#..#..#.....###.#..#...###.#####.#######......######.##.##.########.###..##.##....#.#..####.#..#.##...##...###.###.#...#######....#.#.#..#..#..#..#..#.#.#..#.##.##########.##.#.#..#..#.#..#.##....#.#..##..#..#.#.##.#####.#...###..#######..#.##.####.###.#..#..#.#.#.##.......#.#....#...###...######.##..##..#..#..#.###..#..##.##.#####.##.#..#....####.#.##.##..#.##.#..##.##...#####..##..###..##..##..#####..###.#..##.####..#.########.#######.##.######.##...#.######.#######..#..#####.###..#####........#.#.#..###.###.##.#..#..#.######...#.##.#.##.....##..###..#..###.#....#.#..#..#.######..##...#####.##.#...###..#..###...#..#.#.....#.#................##..#..##.#...#.##.##.####.##.##..#.#.#.#.#..###.##.#.#.###..#....#.#.....#.#.#..###..#.####..#.#...##.#####..##.####.##..#..##.#.######.#.#.###.#..#.#.#..###..##.#..#####....#..#.#..######...#.#.##..####...#.#.#..#...##.####.##...####..#.#..#.##..#.###.##...#...#..##..##########.#....#.#.#....##..###....#....#....##.#.#.####.###..#.#.####.##..#..##..####..#.#...#....##.###.###.#.#######.#........###.#####.##.....#.#.##...#..#####..##.#.##..##.#..#.#####.#.#.#.#..##.#.##....###.####.#....##.####...###.#.#.##.####.########..##..#....#.#.#....##.#.....#..##..#.##..#.#...##.#.###.###.##.#.#....##.###.#...#####.##.###..###.......##..#....##.#..####...#.###..#..######.##...###..#..###...####.#.##.#.#.#..#.#..#####.#.####.#.#.######...###..#...#..####..
#####..###...##.####..##......#.#..#......###.###....#.#.#..###...#...#...#......#.##.....##....#..#..#.#..####.##.###.#.#..###....#.###..#.#.#....####....##...####.#####...#....#...#.###.#.#.#.#.##..##.#.##.#.#.####...##..#.#.#..#.###.##..#...#.#...#..#####..#.#...###..#...#...#.#.#..#..#..#.###..#######.###.#..#.##..#.#.##.######.#.##.##...###.....#.#.#..#.##.#.#.#..##.####.#..#.#..###..##.##.#..##.#..#...#..#######.###.##.#.#..##.#####..##.##..#.##..#..#..#..###..#.######..#.###.#...##.#..##..#...###..#.#..#######.#..######.#.###.#..##.#...#......#.###.#.#...###.##..##....#...##..####...##..#.....#.#.##...###.#..######.#..#..####..####.#............#.#...######.##..##.##.#.##.#.....##.##.#.#.###....##.###.##..##.#.#.#..#..####..#..##.###.##.#......#.....###.##..###.#.######..#.##.##..#.###.##.#..#.##.#.#....##...###..#..#####.###...###.####.#..#######....#.#.####.####..#..#...#####......#...######...###.##.#..#..#..#..##..#..##.##.#..###...##.#####.....###....#.##.##.###.#.###....#.###.###.#.#..#.#....#...####..#.#.##......##.#...#.......#..#.#.#..#...####.###.##.###.########.####..#.####...#.###.#######...##..##..##.###..#.#...######.##..#..#..#.#...####..#...#####.##...##.#.#..####.##..#.####..#...#######..##.##.#.###......###..#.#.....####.#.#..#..#......#...####..#.##...###.#.##.#.######.##..#..#.#...##.##..##..#..#.#...#.##..###..##.#..##.#.#####.###.#..###.###..##..#...##...###.##..####.##....###...####.#.#.##...#....#.#.####.#...#.#..#..###.###....#.#..#.....###.....#.#....#.###.##..###..#.#.#...####.##.....#######...######.#.##.##....###.#.##.#...##......#####.##.##.#...##.#.#......##.#.#.#####.#...##..##..#..###......#.#....##.##.#..##.#......#.###.#######.##.###..###.###...###.#..####..##....#.#...##.#.#.#..####..##....#...##.#..#####.##.#.#.#.###.#...###...#.###.##.#....##....#####..##....#.#.##.#..#.##....#....#.#..#.#.##......#...#..##...#.#.#.#.#.#....#...##.##..#.##.....##.##.##..#..##.#....###.#.##.#...###.#..#...#.##....#..####.#........#.####..#
.#..##..#...##..####..#.#.##..####..#.##..##.....###..#..###.#.#..#.##.##.#.#.###..###...#.#..##.###.#.##....##..#.#..#.##..........#...######.####....##.##...##.###....#..#.#..#...#.#.#.#..##...##.###.###.#.##.....##..##.#...###.######....#.#....###.#...#.##.#.###...#..#.###.##..###....###..####.##..##....#.##...##.#..##.#..#...##.###.#....###.##..#.#.#####.#.###....##..###...###.#.##.##.#.#..#.##...#.....#..#.#.#..###.#.#.####...#.#.##..##.#.######...###.###..#...######..######.###.#..####.#.##..#.#.###.####....##.#..#.##.#..##.#.#.###......#.#.#.###.#####..#..###.#.##...##.....#....#.#.##.###.#.#...##..#.#..#.#.###.##.###.#..##..####...#.#..##.#.##.##.##.###..###...#######.###..##..#.##..###.#.#######.#...##...#####.####.#.#..#..#..##...#.#####.#..#.##.##.#..#####...######.##.#########..#.#..#.#.#.##..#.#..#.##..##..###.....#.#..#..#.####...#.###.#.#.#...#####..##.#.##..##.#####.#..###.#..##.###.#.#...###..###..#.#.###.#.#....###.##.##..#..#....###.##.###......###..#..#.#.#...###.#.#.#.#..##......##..#.....######..###.######.##....###....##.#...#####.....#.##.#.#..####.#..###########....####..#..##.#.....##...###.##..##.#######...##########...##...##..#####....#.#.##.#.#############..#.####...#.#.##..#.####.#####..#####.#..#...#....####..###..#..##.#....###.#..#..###..#...#.#.###..##.#...#.###....##.#......#####...#.#.#.#...##.###....#.###.##.######.#...#..#.##.......#..##..#..##.#..#..#....#..##..##.####..#...#..#...#.#.######....######...#.#.#.##..##..#.#.....##..####.#.#..#####...###.#..##..####..##..#####.##....##...#..##.#..###..#.###.###.###...##.#..###..#...#..#.###...##.####.....####.#...#....#.........#...#..#.##...##.#..##.###.###.#...####.#..##..###.##..#.##...###....#.##.......###.##...###.##.##....#..#####..###.#.##.##.####.#.#..#.#..#.##...###.......###.####..#.###...##....##.#..#..###.#...##.#..#.....###..#..####.##...#######.#.###.#....#...#.#..##.###..##.....###.##.#.#.#...##.#.##.#...###.#.##..#.#...#.#.#.#######.##.###...##..##.###.#.#.####.###
.##.##.##.##..##..##.....#...#....#######......###.#####.######..###...#.#.#.#.###.#.#.#...#.##....##...#..#..#..##.#########.##.........#..#.#####.#....##.#.####..#.####.....#..#..####.#.##.#..#.#...###.#...#..###.######.##....###.#..###.....##.....##.#.#######.##..#.##..#.#..#####.##.#..####.#.##..#####..##.##....#..##..........##.#.#..........#.#.#.##.#.###....###.#...#.##.#.....##.#.#.#...#...##...#.#...##..##.#...#...#..###.#.....###..##..#.....#.##..#.#..##..#.#..##..#..#.##.#.#..#.#....##...#..#.#.....##....###...##.#####.#######.#..#.......###...##..#.#.#..#..##...#...#....###..#...####.#.....##.....##...#..#...##.#.#.#.#.####.####.######.##..#.#...#...##.##.#.....#..#.##...##.####.....##..##.##.##.##.#.#.##..###..###.##.#.#.###..########..#..####..###....###....##..#.#..#.####.###.###...##..#..##.......######..####....##.######.#...#.#........######....#.#.##.###.##...#..###.#..##.##..####.###.###.##..##.#..#.#....#..##..##.#..##...#.#.#######..##.##.#..###..##.#.###.#.#...#.#####.#.###...#....#...#..####.#...###.#.#.##.#.##.....##.##.......#.#..#..###..#....##...####..###..##..#.#.##....###..####.#.###...###....#..###.#...##..#.###...##.#..##....##.####..#..#.####.#...####..##...#.####..#####..#######.#.#.#........#.###.......#.##..##.##.##.####.#.#####...###.#.###..#.#.##.###..###....#.####..##..##.#.#.#...####...##.##......###.#.#.#..#.######.###.#..#....#..#.....#.####.....#.#.#####...##...#..#.#...#.#..#..###.##.#.###...##...###.##.###.#...##...#....##.##.##..##..#..##..##..#.####.####.##.##.###.#...#.#.#.#....##...####....##.##..#....#...##.#.#..##.##..#.#...#........######.#..#..#....#.#######.####.#.#....#.##.#..###.#.#.#.......#.#.####.###.#....##......#....####..#.####.###.##.#.#....##.#####......#.#####.#....##.#.....#..#.###..#.#.#..###.##.#.##.#...##.##.#####.#....##..#..#..######.#...#.....###....#.##.#..#.#..#......#...####.#...###...####.###...#.#...###..###.....###.#...####..#####.#..#..##.#.###...##.##.#..#####.##....##..####.#####.##.#..#
..##...#........###..##.#.#.#.#.....#.#.#...#.###.##.....##.#####..###.##.#####..###.....#####....###......#.#...##.####.#..##...######..#.#..##...##.###..##...#..#..#.##.##.##...#.#.#..#.##.#..##.##....#...#..##....###...#...##.#...#...#..##..#.####...###...#..#..#.#...###.....#.#.#.##.#.#..##..#.##.#####...##.######......##.####..###....#.#..#..##..##....##.#.###..#.#.#.#......#.###.#.##.....######.#.#.#..#.####.#....##.####..#############...##..#.#.#.#.#..##..##....##.....##...#....###.....####.###..#####....#..#.#.###.######.......#...#.#######.#.#....#...###.#.##...##.##.##..#.###.#...#......#..#####.###.#..##.#.##..#.##.##.#.#.##.###.#...###...#.....####....##.#...##.#.#.#..##..#..#..##..#..####.###..###..#..#..########.#####.####......#...###...#...#..#.#..#.#..#.####..#......####...#.##...........#####..#.#.#.#.#..##...#..#....####......##.#...###..#.##.#.....#...#######..##..#.##.##..#.###.#.....#..#.#..####.....#.#.....#..##....#######.#.#..###..###.#####.####......#..#.###.##..#..#...##..#...#.###.#####..#.####.###.##...#.########.#####...#..#####.#.....##.#...##...####..#.#..###.#...####...###...#....###...##.#.#.......#.#..#..##...#..#.#.##.##..##......###..#..####.#.#..##...##.#...#...#.###....#...#..#..#........##.#....##..#.######.#.#..#.##...#....#.###.#...#.#..###..#..#......######..###....#.###.###...##..###..#..###.......#.####.#...###...##.#####..###.#...#...##...#.#.......###....###...#.#..#..##.##...##.#...###.###.##.#####.#..#.......#.#.#..#...#...##.#..#..##.#..###.###.#.####.###.#.##..##...#..###...#.#....#.##......#..##.##...#.#.#...#.###.##.......##......#.#.###.#..##..#.####...###...#..#..#.##.#..#.#...#..###..#..#.#####..#.#.##.#..........##.#.##.....#.##..#.#..###...##...#...##.###...#.#.#.##.#.#..#.######..#.#..#....#.#.#.....#..#.##....###...###.#..#...##...##..##....##..##.#..#..#..##..#....##.##...#..#..##...##.#.#####.###.##..#..######...#.######.....##.#.##.#..#....#.#..##.#.#.....#######.#.##.....#....##.##........#..##.##.#...#
.#.###....#.#####.##.##...#....##.####..#....##.#..###..#.####..#.#.....##.###.#######...#..##.#.###...#.###..######.###.#.###.#...#....#######..#.#.....#.###.##...##...##.####.####.#.#..#.###.###.....#.##.#.....####....#..###.#.#..##..###.#..####..#..##..######.#.#..##......#.#......#####.########..#.##..#.##...#..##..##.#..##.#.##.#..##.##############.#####.##.#.#.####..#.#..##.###.#...##..#..###.#..#.#.#.#..##...###.##.#.#....#.#.##...##..#.##.##.....#.####.#.##.##....#..###.###.###...######.##.#..##...#..###...#.##.#.#.####...#..##..#...#.####.####...#.#....#.##.##..##.#..#..#..#......##.#....#..##..#.#.###.###....#.##.#.##..##....###..#.#.#.##..#..###...#..#.##..##.##.#.#....#....##.###..##.#.##.###.#..###....######..#...#...#...###.#..#.#.#..###.##.#.####..#.##.##.#######...#####.####..##.....#####.##.##..#.######..##.###.#.####..#..##..#....#.#..#..#....#####.#.###..#.##.#.#.##.#..#....###.###.####.####.#....#..##...##.#....###.#...##.##.##.##.#......##..#.####.#..####...#..#...###.##.##...###....#......#.##..#.#.#.###.##.##...##....#####.#.##..#.##.###..#######.#.##.##.#..###.....####.#..#####...##.#.###.##....#####.##.##..##.##..##......#....##.#....#..##..####.#.######..#..#..#..####.......##..###.#..#.#.##..#......######...#...#....##.....#..#..##.##.###.##..#.....#.#..####...#.######.#.##..#.##.#.#.##..#....##.##..#..#.#..##.####.#..#..######.##..###..####......###..####....#####.#.#.#...##.#.#..#..#....##.#.#.....#..####.....#.#.#.....###.#.#...##..#.##..#....#.####.##..##....##..###.#..###.#####..##...####.##..#.#.####...#.#...##..#..#.##.##.###.#.##.######.#.#.#...#####.##.#.###..##..#.###.####.#......#..#.###.#..######..####.##......##..#.#.#.####.##.##.###..#...#....#.#####.##..###..#..#..#....###.....####.#....##.#.#.#.......#.....##..#.#...###.##.#####.#.#...#.###.####.#...#....##......#..#.###.#....##..###.#..#..##.........###..#..#.##.##..#.####.#..#.##..#....###...##.##.#..#.#.#...#.###............#.#..#####.##.##.##.#..##..#.##.#.....###.#.##.
#........##.....#..####.####..####...####.#.#..##....#..###..#####....#####..#..###....#.#######....#.###...#.#....##.#...##........####.##.#####...###...##..#.#..#.#..#.....#.##.##..##..#..#...#..###.#...##.####....##.###....#..##.#.#####.#.##.......####.#....#...#.##.##.##.##.###....#...##.#..##..#####.#...##.##..####.....#.#####...##.#.###..#.#....#...##....#.#.#...#....##..#.#.####.#.##...####..#.#.#.#.#.#..#..#####..##.###..#####.##.###.##....##..##..#.##...#.####..#..###.#..#.####..#.#.#.#...###..##..##.####.#..##...###.#####..#..####.##.#.##.#....#.....#.##.#.####.#..##..#.###.#.........####.#..##.#.###..###.###..##.####..##.##.###......#...##.#...#..#.#.#.#.#..##..##.#####.##..##.##....####..####....###.....#..###..#.#...##..###.#.#...##.##.###.###....#....######..##..#..####.##.#.#.##.#######..##.......###.#...#.#..#.......#....#.##..#.##.###.#.####.##.#...######.###.#..###..#.#..#..#.##..#..###.###.#...##..######.##.##..#######.....#..#..#.....####........######..####..##.#..###....#####.####..####..#.##..#.#...##.#.#........##.#.#..##.###..#.#####....#.#...#..##.#####...#...#.#....#.###.##.#.##..####....#...#....#..#..####..###.#..#..####.#..#.##.##.##.##..####.##.##..#.####.#...#..#..#.##....#........#..#..####..##..####.##..#.#...#.#.##....#...###..#..####...#.#.#..#.#.#.......###..###.##.#.....#...#...######.##....#####.#..#...##.#.#....###.######.##.###..#.##.#.##.####..#..####....#.###..#.##.#.##.#.##.########.#.....###...#..#...####....##....#....#..#.###.##.##...##..####.#....#...#.####...###.#.##..######..#.#..#....#.##.#.#####..##..###....##..#...#....#..##.#.#.#..#.##..#.###..##....###.###....#.#...##.#.##.#######.#...#.###.#####...###..#.#.#.#...##.......#....###...##.#.#.#####...##...#.#..#...#....##.#####...#...##..#.#....###..#..##...##..######..#.#.##...#.##.#.######.###..##..#..##.###.###.#.#...#.#.#...#.#.#.......#..#.#...#.##.#.##...####..#..###..#...#...##.#####..##.#.###.#.###..#..#..#..#.#.####.#.##.#.###..#.##..##.#.#.#..#..#.#...###
##..##.##..####..#.#.#.##..#...######..###..#...##...#.##..#####...##..#..###.#.#.###...######.#.#....#.####...#...#..#.#.####.....##...##...###..#.#..####....#####..##.#..###.####....#.###...#......#.###.#..#.#..#.####...#####.####..#.#.##..#.###.#..##...##.####.#.....###..#..###.#....#.###.#.##.###.##..#..#.#.#.######.......##.....#....#...#...##...#.#..##...#..#..##....#...........#...#..#..#.###.###..#.#.#..#.....#.#.##....#......#....##.#.##..###..#......#...##......#.##.#.##....#..#..##.......#.#...#####.###..#..#########.#...###.#.#.####.#.#..###..#..##....#####..##.####.##..#.###.##....#....###..###.#.#.#..#..###..##..#.#...###..#.....#.#..#.#.#.#..######..##..##..#.#..#...#.##...#...#..###.##.#.#####.#.#.#..#...#..#.#.#..#..####...#####.##.###.##.##.##.#.#....##.##..#..########...#.#######.####..#.####.##..###..###...#...#.#...#.##.....###.####..#############...#.#....##.##..###..##..#.#.###.#..###..###.#.#.###..##...#.....#.##....##...##..#..#.#..###....#..#.####.#####..#..#..#..#...#.#####.#######...#.##..#.#..#.....#..#.##..#......#..#.##..#.#.##..##...##.##.#.###....#..#.##...#..#####..###.......#..#####.##...##.#.....#...#...#.#..##.#.#.#.###.#.#######.###..#..#..###.#.##.#..##..##..#..##....####..#.###.#.##..##.#.##...##..#..##....#.....#.##..###.#...#.##.#...#.#...#.##.##.##.#..####..##..#...#......##.#....#.#..###...###..##..##.#..##.###....#####....##.#####.#.###.##.#.##.#.#.#.#.##.####...#..###..#.#..###.####....##.#..#.#..#...##......#..#.##.##..#.####.###..#..#####....##..#..####..#..#####.####...#....###.#.#..######.#...##.##.#.##.....#.##..#....###.#.##.##..#.##.##.#.#...###...........#...#.#..#.##..##...###.###.####.####.########.###.####...##.#.#####..##......##..######.#..###...#.#.#..#..###.####.##..#.....####.#.#####.##..##..#.#...###.#####..##..####...#.###..#.##.##.####.###...###.###..#....#.#####.###...##.#.###.##.##.#.##......#..##..#.#####.##.....#..#####....###.##...#.##..#####...#..#.#.##.##..#.#.#...##.#..###.#.####.###...##.####.
.#..#..#.##.#.#.#.###...##..##.#..#.#.###.#..###.#....###..###...#.#...#..##.##.######.###....#...#####..##..#..###..##..#.##...#..######..###..#.##.##.##..##.#.###.......##.####...#...#.#...#.#.....####.#.......#.#..##.##....#####.###...##.##....#..#...##.###.##....####.###..#.#.#...###....##.####..#.##.#.#...#..####.#.##.#.#...#.####.######.#.#..#..####.#.#.#.##.###..##.#...#.#.#..#.#..#...##...##.###...##....#.#.#.#.#.##.##.###..###.#####.####..#.#...##...##.##.#.#..#..#..##...#.##.#######.##..###.##.....####.#.###.....##.#..#....##.#....######..#..##..##.#....##.#.##.##..##..#.##...####..#..###.#..###.##.#....####.#######...#.#..####.###.#.###.##.##.##..##...###..##...#####.....##.##.##..#..#.#......#####.....###.###...##.#..#..####..#...#.#..##.#...#....#..#.##.#.#.#####..##..#...##.#.##.####.##.#.#.###..####.##............######.#...##...##.....##.....##..##.#.#..#.#.#.#....#.###....##.#.####..#...###.#.........####.###.#.#..###...#.###..#.#....##..#.#.#..##..#.#..##.######..#...####..####.....#.....######....###...#...###..#####.####.#.##....#.#.#...##...#.#..#.#.#....#.#.##.###.#...#.#...##.#.....##.#.#.#....#..#.#.####...####.##...###..#.####..#.#...#.#....###...######.#...###....##.####..###.##....#####...........#..#############..#.###....##....##..#..#.##.####.##########........##....#.##.##.##..####....#.##...##.###.#.####.....##.....###...#.##..#..#.#...###..#.#.#..#...#...##...#.#....##...##..#..####.#.#..#..###..#.#...###....#...#.#..##...#...##..#..##.#...#.##.#.#.#..##.#..#...#.....#...#####.###...#..#..##...##.#.###..#.#####..######..##...##.#.##.#.#.#.##..#..###.###.##.###.##....##.####..##..##...##..##.#.#..##.#....##....#....#.#.#....###..##...#..#.###.#.##...##..#..#.###.#...#..##...###.####.###.####.#..#.#..#..###....##..#...#...#..####.#.###.##....#...#######...###..#..##.##.#.##.#..#.#..##.###..#.#..####.#.#.##.#..#.......##.#.#.......##...##...###.#..#.#...#..#...#.#.##.##########..#.#..##..##.#....#####.##....#..#.#..#.#...#.#..#.....#.#.
..#..##...####..#.#.#.#.###.#.#..#.#.###...#..#######.###.#..#.####.##.###.###.##..#..##.....##.#..###..#..#..#.##.#..##.....##.##....##.##.#####....###.####....#....##.###.#..##.###.##....###.#.#...#....#.#....#....####..##...#.#.###..##..###..#.##..##.#.#..##....####..#...#..#.......###.#....#.#.###.##.##.#...#...##....#.##.##.##.....#.#...#.#..#.##..#....##.#....#..#.#...#.......#..###...#....###.##.#..###..##.#.###.#.####....#.#.###...###.##.#..##...#.#.###.##..#..######..##.###....###...##.#.######...#.#..#......##..#.####.#####.###..#####..#..#.#######.#....###..#.#.#.#....#.#..#.###.#.#.#.#####.##.######.##..#.#.#.#.###.##...#.######.#.##.###.#.##..#.####..##..#.###..##..##..####.##.#...#...##....##.#...#.####.###.####.#.###.########.#.##....#.##.#..##..#.....###.#..##.####.###...###..###.#.#...##.#...#.....##..#.####.#....#.#.#..#####.#..######.#.##..#.#.##.#.#.#..##.....#.###...#..####...#######..#.#.#..###..##....###.#.###.##..##.#.###..#.#.#....####...#....#....##.....#.###.#.####.#.###.#...........##..####...#.#.#.##..#....#.#.#..#.##..#..#...####..###....######....#..#..###########.###...#.#..#...##...#.#..#.###.##.#.####.#....##..##...#..####.#####..#.#...#.##.###.#....#.###.#..###.....#..#.###....#.#.##..####.##.##..###.######.##..#.##.####.##.#..###..#..##.#.##.#.##.#.##....#.###..#.###..#.##..#####.##..######..#.#..###......#####..##..#.#.####..#.#..#.#.###...#...##...#.#....##......#.##.#..###.####..#....#...##....##....#..##....###..#.....##..##..#..#...##.###...#.#####.####.#.##......#.#..##..#.#.##..##...##......#.....#...#....#####...##....##.#.#.#.####..####.##.###.##.#####..#.#..#.###..#.#####.#...#...#.###.#..##.#....###.....#..##.####..#...#.##...#####.##.##.#.##.##.##.#.#...#..######...##.#..#..##..##.#....#..##.###.##.#...##...#....#.##..######.#.#.#.##.##.#...##.#######.######.###.##.##.###.#....#.#...##.#..####....#..#......##....###......#.#..#.###..#..##.###.##.####.##..##...######...##..#..#.#.###.##...##.......##..##.######.####.#.#
###.###.#.#..#......#....#.####.###########.#.###.##.......#.##.#..#..#....#####....#.#..#####..##..##.##..##......##...#.##.####..#..##.####.###.#..###..###.###..#####..#.....#..###.#.......#..###...#.##.#.#.#..#.##..#.##.#...#.#.#.####.#.##...#.#.#..#...#.....#...#.##..####.#...#.##.###.##.#.#########.##...####.###......#.#.#.##.##..#..#.##.#....##.#..###..#..###.##...##...#.#.#...######....###..##..##.#.....#####.#.#.#.##.#....##.##.####.#........###..##.##.#.......##.###.##.#.#..#...###..##.#.....######.##..###....#.#.#...######.#..######....#.##..###..#..##.#.#.##.#...#.#....####...#....#..#####.####..##..#..#....#...##.#...##.#.#.#..#..##.........##.###......###..##.###....#.#.##.######.#.##...#...###.##..#.#.#..###..###..#.#...##.#####...#...####.###.##.###.#.####.#...#.###....##..##.#.....#...###..###..#.#.####.######..#..#.#..##..##.#....#....#####..##.....#..#.#....#.#.###..#####.#.##.###....##.##..#.......#.#...#...#.#####...##.#...##....#.###.#.#..#....##....#.##.##.#.#..#####.#.#####..#...#.###.#.####.......#.#..####.#.##.#..##.##.##.#..#.##.###.##.#.#..##.#...##..#.###...##.#.####..###.##.##......#####..#.###.###.##...######.####.#....#.####....##.#####.#.#...#........###.##..#...#..##.#..###.###....#.##.#.##.#.##..#.####.###...##.#....#.#....#.###.....##.#.#.##.#.##.##..#....#######.#..#.###..#.##..#..#.###.##.#...#.#.#......####.##.#..#.....#.###....###.##....###.####.##..###.##.#.#.#.###.#...#.#.##....#..##.#.##.#...#.#...##.......####..#....#.#.#..##.###.###.###..##.##.##..####..####.....#.######.#...#.##..###...##...#...#.#.######...##.....#.##.#...##..#.....#.......###.##..#..#..######...#..#.....#.#......####.#..#..###.###.#.####.......#.###..#.##.##..#....#...###.#.#####.##.##..####.##.##.##..###..#.##.#..###.####.###.#.#..###..##.#...##.##....#..##.......####..#...#.#####...#.....#.###..#.##..#.#..#...#.###..##.#...#..#...###..##..##..#.#....####.#....##...#####.#.#..#..#....##..##..##.#.###.##...###...##.#..#####.####......#.##.#.....##.....#
#....#..##.#..###.#......#...###...#.#..###.##....####.####.#.#.#####....#.######....#######.##..##....#.#.#.##.##.##.#.#....####...####.####.#....#..####.#.#....#.#.#..#.#.###.##.#.......##.####.######.......#.###.##..#.#...##..###..#...#.#..##..#.#####.#..#......#.#.##.##.#.#.###.#...###.#..#.##..####....###..#####..#####..#...#...###.#..###..#..#....#...##.##.....#.#####....#..#....##.#..##.#..#.#.#.##.##.###.#.###.#..###.##.###....###.#.###.##.#..#####..#.#.##.#..#...###...##....###..#.#..###..##..########..#..#...#..#..###.#..#.###.###..##.#.####..###.#.....#.#.#...#.#.##..####.#..##..##.#..#..#..#...##..#...##.###.#..##.#..#####......##..###.#.....#...#.....##.########...#...####.#..#...#..#.####.##..#..#####..##.##....##....#.##.##.####....#...#.#..#..#.##.###.#.###.....##.##.#####.##.#......###.##.###.#..##..##.#####.#.....########..##..####.#..##.#....#.###....#...##.#....##..##.##...#...##.######.#####..#..#.#.####..##.#.###.#.#.#.#.##...#.#.##.#.#.#.###..#.######...###......#.....#.#..#.#.###..##...##..###.####.....###..#.#.#.#####..#.##.##.#.###.###..####..#...######.#.#.##.###.##..#.######.##..#..##..##.#.####.##...#.#.#.###.....####.#.##..#..#.##...###.####.#.#..###..###.#..#.#.##.#.###.##..##..##...##....###.#...##...##.#..##.##...#.#####.#.#...##.#......####..#.#.###....##.#.##..#.#..#.#.##.#.#.#..######.##.######.#.##.#..##.###.#####.#.##....##.##..#..#.#..##.#.####.#..##.#..####.##.###.#.##..#....#.#...##.######..#.#....###.#..#..#...#.....##.#..#..#.##.....###..###..#.##....##....##.#..#......#..####.#.#.###..#.##.####.......###..#....#.##.#..##.#####.#.####.#..#.#.#.####...#####.#.#.####.#.#..##...########.##..##.#.##.#####..#.####.###.#..#.#...#####..####.#..###..#..#####..##....#..###..#.#....###.#.#####.#...##.#.#...###..#..##.....#.#.###..##.#...#.###..#..#..#.#.....#....#.#...#.#..##...#.#.###.#..#..#..##..#.#.#......###..####..#...##....#..#.#.#...##.###....######..##.#.#.##########.##......#.##..#.#..####.###.#####..#####...#.##.......#...
..#.#.#.###...###.#...#..##.#.##...#...####.#.#.#.##....#####..#.#.##.##..##....#.#..##.######..#.##.#.###...#..###.#######.#.#.#.###...####.####.#..#.####......#...####.#.####.##..#.##.#....#.#..#...#..##..#..###.#.##......#######.##.#.##.##.####.#.##.#.#.###.#...#...##..#.....#...##..#####..#####..#.##..##....#.###.#..####.....#..#.###.####...#..#.#.#.#..##.#.##.##.####...##.##..#.#...#.#....#...#.#.###.##..#.##....##..###.#....#.#..#.#.#..#..#...##.####......#.####.#..#...##...##.##.#.##.###...#...###..#..#.##.##.###.####.####....#...#.###.#..###.#..##..#.####......#.##.#.##..#.#..##..#..######..##..#########.##..####...####..#.##.....#.#.##...##.#..#.#.#.#.#####.#.####....###...##.#..####...#.####..#.#.###..##...####.###.#...##..##.#....##.#.##.#.#...##..##.#.#....#.####.##.##....##.######.#.###..####..#..#.#...#...##....##....#..#.##....##.#..#.###..#.....###.#.##.###.#.##..#..######.####.###########.#....####...#########..##.#..#...#.##...#......#..#.#.#.#..#.###.##.###.####.#.#..#.####..#.#..#######.#.####...#.##...#.#.#.#.#.#....####..#.####...#..###.#.##.....##..###.##....##...###.##....#..##.##.##.##.#.####..####.##.#.####...###.#...#.#..##.###.#..#.##..#.###.####..###.#####...#.##.#.#..###.######.....#....#.#.###...#.####.#.##.##.##..##.#.#####..#...#..##.....#..#######..##.#####.#.#####.#.#.##..#.#.#..........##.#..##..##.#######..##.##..####..#.#.#..#....#.#...#.#####.#.#.#.###.##.####..####..##..##.##....##....#..#....#.###.##.####....##........#...#.#.##.#.#.#.#.#.###..#.###....##.#.#.##.###.#...#.##.....#.###.###........######...#.##.....###...#.#...#..#..#..#.####.####..#.##..#...#..##...#.##.#..#########.#..#.....#..###.#####..####.#.###..######...######..#....#.#.#..#....#####..####....#.#.###..##.###....#...#.....##.#..###.#.##..####..#.####.#..###....#####..##.##.#...#.##..##.#.#.#...#..#..#.#...#...#.###...######.###.###.##.###.#..##..###....#..#####.##..#####.#.#..#.#.#.#.##.#####......##..#.#..###..##..#.....#..##..#...##.#######.#..###.###.#
.#....##...#......#.##.#.###.###.#.##..###.####..###.#...###..........##...#.######.#.#.....#.##..#...#...........##.#..###.#..#...###.#.##.##......#...###.#.###########.#....#.##.##.##..#..#.#####.####.#.#..##..#.#.#..#..#..#.#.##.#...#.##.#..##..#.#.#....####.#.#.######..#..#.####.#.#.#......#.##.#.##.#.....#####.##.#.#..#.#.#..###.#####.##...#####.##...#####..#..#####...##.####..######...####.####...###.#.#.#.#.#.##..##..#......#.##.##.###.####.#.#..####.#.#.#..###..#..#.#.#.##.#.....##....##.#.#...##..#.#.##.##.##.##.##.##.##.#.##.#..###.##..##...#.#..#.#.#####...##...#####........##...##..###..#....###....###.#..#.####...#.....##...#.#.#...#.#.#...#.#..#.#....#..#...###.#.#..######.###.###.....#.##.#.##..#.#...####..#..##.###..#..#####..##.#..##.#.##...#.......######.##.#.####.##.#.####.#........#.#..#.#...###.##.......#.#.#.##.#......###..#.#..##....#.##.######...#.#....##......##..#.#####......###.###.##...##.#.##....#.##.##.##..#.##.###.##.#.#..##..#...........#..#.#..##.###...##.....##..#......#.#.####...##.####....##.##..#####....#.#.#..#####..##..###.#....#..#####.####.....###..#..#####..##.##.##.#....##.....####.##.##.####..#.##.####..#...###..#####.#.####..#.###.#...##.##..#.#.#.####...#.###..#.##...##.#.....####.###...#...##.###.#.##.##.#..#.##.###############...#######..##.##.#..#.##...#...##.##...##...##.##.####..##.#...#..####.###.#####.###.....#....#.##....######.####.##.#.#..###.#.##..#..##....#..###.##...##..###..##.##..####.#..##....#..######.#.##.#####..###.##..#...#..###....##.##..##.##..#...#....#.#..#..#.#.#######.#.......#..############.######..#.#....#...###..############.#..##..#.#.###.#.###.#.###.#.##..##...#.##..####......#..#.###.#......#..#.#####..#..###.#....#.##.#..####..#.##.#.####.#....##.#...#.#.##.#..##..##.###..####....#####...##.#......#.#..##...#.#..#....#.##.#..####.###..######...##.###.##..#######...#...####.....####..#......####.#...#.#....###.######.......##.###..###..#.##..###..##.##.##..#..####.......##.#..#.##.###.#..#
.....#..####...#..#..#####.#..#.##...##.###....#.##.##...#.#..#.#.###..#...##...#####....#...#........#.##.....######.##.###.#.#...#.###.#####.#....#.##..#.#....#...#.##....##.#.#.#..###.#..###..#........##..#..#.#.##..####.##..#.....#..###.#.#.#.#.##..####.#.#...#......####.##..##.#...#.#.#...####..###.####.#.#.###.#.##..#..#.###...#.#.#..##...#.#######..##.#....##...##.#..#.#..#...#....##.###.###.#.####.###..##.#.#...##.##.##...#...........#.#####..#.###..#......#.#.#####.........####.###.#.#..########...##...##..#.#..####.#...#..##.##.#.##.#####...#..##..##..#.#.#.###.......#..#.#..#.#..#.####.#...#.##..#.#.#.#...##..######..#..####.#..#.#..#..###.#.##..##..#.#..#.#...#.#..#.###..#.....###.#.##.##...##....#..#.#..#..###.##..#..###.##....####.#....#.#...##.####..#...####.##.###.##.#...#.......#....#...#.#...#...#.#####.#..#...##..##.#.#..#.#...##.....#.#.###.##.#.#.##.#..###..####...#######....####.##..#...#.#.###.###..######....#.#.#.#.#######.#..#.#...#..###############.##..#.######..#.#.#.#.#...#.#.#....##..###.##..##.##.######.##.#.##.#...##.#.#####.#####...##.##..###..#...##.#..###..##.#.#.###.#.##..#.#...#...########..##.#######...#.##..##.###.#........##.###..#...######.#.#.##.......#.#..####..#..#...#.##.#.#..#############...#.###.#...........#.##.#..#...#.#.#...#.#.###.###....##..###.##.#.#.###....#.##..#....###.#.##...##....##...#.#.#.#.###...........#.###.#...........##.#.###..#.##....####.#.##...#.#....#.....###....##.#..##.#...########.....#..###..#..###.#...####...#..###.##..######..##.#....###..#..#...#..#..#...#.####.#.##.#.#....#....#.#..###..##.#...###.##..#..##.##.....#.#####.....#.#.##.#.####.#....#######..#...####.....#.#..##.#.#...##.#####.#.#.#..#.#..#..#.##.#......##.#.#..#####.#.#......##.#....###.#....#####....###.###.......#.#..#....##.###.##.##.#####.#......##..####...#..#.##.#.##...#....##.#..###.####.##.##..#.#...##.#..#.......#.#.#.#.###.#.#...###..##.#.#####..#.###...###..##..##.##.##..#..####.....#..#.#......####.#...#..##.##.##...
..#....###...###.##..#..####.....#.#.#....#..#...#..##...#.#.#..#.#..#.....####...#.#.#.#.#....#.#.##.##.####.#.####.####.###..#.#.###..##.##..#.#.......#...#..#####..#.#.#...####.#.##.##.#...##..####.##.#..#.#.##.##.###.#..##..####.#.####..#######.####.###.#.##.#.#.##.####.###..#.#..#.####.##.#.#...#..######.##.#.#..###.#.#.###..###.##..#..#......###.###.#.###....##.####.#..#..##.#.#.#..##..##.....####..##..###.###.#######.##.#....###....#...#.##.###..###.###.#..##..##..##..#..#.###....###.#..#..#####..#..#..##.#...#.#.#....##.##.#..#..#..##.#.#.##..#......##.#.......#..#...####..##.#.#.####..##......#..##.####..##.#.#.#####......#..#######.#.#.#...#...###.#.#.##.#.####..#..#..#..######..#.#.#.###..#..#..###..###.##....##.####.#.#.#.#......#..#.##.###..######.#.####.##...##...######....##.#..######..#...##..#...#.##...#.#.#....#.#####.##.##.#.#..#######.####.#.#...#.#..###.##...#####.###.##.#.#.#.##.###.##..###..##..#.#......##..##...##...###.#..........###..###..######.#.##.#.##.##..#.##..#...###...#.#####..####.#.##.##..#..#.####..##...####..#....##.#.###.###.##...#.######..#.#...#..#.#####.##.#..##.####.##.#.#......#.###....######....#..#.#...#.##..####.####..##.#.#.###.#...##.#..##...#.##.#..###.#####.##.#.#.##.#..######..####..###..#..#...##.###..#..##....###..##..#..##.#.#.#..##..###..#..##.##.#.....#..#....#.##.#..##....###.#....#.###.###.#..#.#.#####..#.#.#...##.###...#.##.####.#...#..#.#.##.#..#..####.#.#..#...#####.#.##.#..#..#.#######.#.......##....##..#..##.#....#...##..###.#...#.##...#.#.##....###.#.##....####.#########....####....##.######..#.###....#.#.##.##.##..#.#..##.#..#.##.#.##..##..#.#.#...#....####..#...#.####.....##..#...#....####.#..##.####....#..#####...#.#.##.###.#.#..#####.#.#.###.#...#..#.###.#.##.#.#..#..###.#.#.#...#.##.#....##.#.........##..#.###.##.#.##.##.........#######..##.#####....####.#.###.#.#....#..#####..#.######.#..#.#.#.##....##...#.###..##.#..###.#..##..###..#....#.####...####.###.##..####.##....##...###...#..##.##.##..#.#
..#.#....###..#.#..#.###.###.....###.##.#..#..####.......##.....#..###.####..###..#.#...#..####...##...#####....##.##..#.####..#.....#....##.##.#..###.#..##.####.##.##.##..##.#.#.##.#..##.##.##..#...#..#.#.##..##.#..#.###..#.#.#....#..####..###.##.#.#.##..#.####.####.##.##...#..####..##.###..#.#.###.#####....#.#...#####...###.#..#...#.#...##..##..#.#.#..#....##....###..##.##..#.#.###.#.#......#.####....#.#####.#..###....###.#.######....#..##.#....#..###.#..##.###.#.#..#..#.#..#.#.###.#.#...#..##......##.###...###.###......##.#######..#.#..#.##...####..#.###...###.#..##.#####.#..####....##....####.####.#.#.#..###.##.#.##..#.##.##..######.##.#.######...##..##..#...#.#.###..###..#.###....#.##.###.##.#....####...#..#.#....#...##...#.#.####.#.##..#..#.##......##.####..#...#.##.##..##.#.........##.....#.#..#...#.##.#.#..#.#..##...##.##..#..###.....#..#.#......#..#..#..##...#.##.##.#######...#######.###....#...#..##.....##..#.#.#.##.#.###.##..#.##.###.##..#.#.####.#.###.####.#.#.#.#.#.#.####..##..####.##..##....#..##..#.#..###.#.#....##..#.#.##..#.#.#.........###.###...#.###.###....#.#..#...##.#.###..######...#.##.#.##....#.####.######.#.....##.#....##.####.........###....#.#.#....#...####..#.#..#.##.##.........##..##..#..##....#...#.#.......#.#...#######...##...##.#.#.##..###...##..#.#...#.##.#..##.#.#..#...#.#..#..###...##.##.....#...#.#..#...#####..###..#.###..#...#...##..#.#.##.#...#.#..#####.#....#.###.##....#.#.##..#...#..#.###..#...#.######...#.##.##.####.###.#..###...#...#.#..#.##.#...#.#.##.#.#..##.#...#.##..#..#.#.#.....##.#.#####..####.###..##..#.#####....#.#...#..###..#.......#.....###....#.###..#..######.#...####.##.#...#.#.###..##....##.#..#...#.#....###..###...#.####.###..#####.#...#.##..#####.###.....####.##.####..#..##.###..#...#..##.....#.......###.##...#.#..####.#.#...#.#....#...#.##.##.###..##########.##.###....##..#.##.#..##.##.###.######.#..#.#.###.#..####..#..###...#...#.####.#....##..#...####.#######..#..#.###..####.#..##.#..#...###.##.#.#.#..####..
.#####..#..#.#.#.#..#....###.#...###....#..#.###..##...#..########..##....#.##............###..#.#.##.#..###....##..##...##.#.#..#.#......####...##.##.......#..######.####..#...#..#..#.######......#.##.##..##.........#.###.#.##....##.#.#.##.####.###.##...####..##.#.......#..#.#....#.#####..##..####..######...#...##.#.##.#..#.#.#....###.##.##......###.#.###..#..#..#.#.##..##.....###.#...#..#####.##..#..#..####..##.#####.##.#.##.###..#######.#...#.#.#####.....##....####.#.#...###.###.##..##...#..######..#...#.#.#.##...###..#..#........##.##.#.##.#####..#..#..#.##...#####....##..#......#.###.##...#.##...#..##..#..##..####.##...###..#.#....#.....##.#######..#...#.#.....##..#.####.##.#...#.###..##.#.###.#.#.#.##.##.#.#...#######....#.#.#...##...#..##.###.#..##.##.#.#..#####.###.#..###....#.#..#.#.#....#.##...#.#####.#..##...###........##.....###.#.....#...##..#.##.#....###.#...#.######...#.#...###..##..##.#..##.#...#..####.####.....######..#.##..#..#...#.##..####....##.....#....###...##..#.#####.##.#.##..#...####.#..#...#..##.##......##.#.#.......#..##.#.##.#...##..#.#..#..##.#.#.##.....#..#.#.###....#.#..#....#..####.#...##.#.#..#####..#.#.##.....##.##.#....#...####..####.#..##.##.....#.###..####.#.#.####.##########...##.#.###..##.###.#.....##.#....##.#.#.#....##.###.#.####.###.#.#.######.#.####..#....#....##.#..#......#.....####.#.#.....#.###.......#..##..#.#####.#.#.#..#..#....#.....#.##..##...#####.##..##..#.##..#####...##..#.#..###.#...#..###..#.##.#.#.##...##.....#.##.#....#.#.##.#####.#.###...####..#.#.#..##..##....#..#.#.###..#.....#.#....#.#...###.#..####.###.#..#..#..#.##.####..#.###..#.##...###..#..##.#.####.#.####...#.####....#.#...###..........#..#.#.....#.#...##..#.#..##.#.####..##...###.##.#..###.###...#.#.#..#.....######.#.#.#..#.#...##.####...######.#..#..#.#..###.#.#.##...#.#...#.#..#.......#####..#.#......####.#...####....#..###.##..#.#...#.#.#..##.#.#.#...#.#....#.##.#...###.##.##..#.#...####.#..##.##...#..#....#....####.#.##.#..#...#.###.#..#####.###
.##.#.#########.###..##.#....##.#.##..#.#.####.#.#.##..##..###......##.....##.....##.#...#.######.#....#..####.#.#....####...###...#...#..#...###.##.#.#....#.#......##.##...##.#####..#.#.#.##.#...#...##...###.#.#.#..##.##..#.#.####.#.###..#..###.#.######....#...##..#.....#..##.###...#..#....##..#...##.....#..#.###..##.###.##.#.#####.......#####.#...#.#.###.#.......###..#.##.###..###.#.##.######..#..####..##.##.##..##.#.....#####...##....#####.#....###..##...###.#.###....#..#.#####...#.#..#.##..#.#.#.#.........##.....#..##..#.#.#..####.#.#.###....#.#.#..##......#...#...#.......#.###.###.###....##..####..##....#.######.###..##.##..#..###.###....#..#.#..##...#.##.#....#.....###..#......#.###.....##...#..######......#...##.#.###.#.##..##....#.......#.#.#.#.##...###.#####.##..#.#..###..#..###...#.#####..#.#......##..##...#.##.########.#.#.#.#..###...#.####.###..#.........##.#.#..##........##....#.#.#.##.##.#.#.#.#......###..#.....##.#.#.###..####......######..##...#.....#####.#...#.#..#.###.###..##..###.#.###....#....#.#.......#..#..#.#...####..#...#..#...#.##...#.#.#.####...####.#....###.#..#####..##.##.##.#.#.#.#.##..###.#...#...#.#.###.....#..########..##.#..#....#....##.####...#.#..#...###..##..#.#.....#.##..#..##..#.#.###.#.##.######.###.###.....#.###.##.#....#########.###.####....##.....####..##.##.####...#..##......#....###.#..#..##.#.#.#.#.##.#..####...#..##..##...#.#...........#.....#.#...#.#...###...##..#...#.#.#.#.##..##..###.###.###.#....##..#....###...##.#.##..#######.###.#...#...#.#.#.#.##..#.#..#.#.#.#...#.#.#.##.###..#..#.########...#...#..#.###..##.###....#..#.#.#.##.#.#.#..#.#######..#.#.#...#.#.#.###..#.###..####.###.###..###..#..##....#.#.##..#.....#.#.#####...##.#...#.###.####...###.....#.#.###..#.#.####......##.#..#.###..####.###..########.###.....###.#.####.###..#.######..#.####..##.#..##..##..#.#..#.#.##.....#####.#.#.##...###.#.###...##....##..#..##.#########.####..###...##.#..####.##.#....#####.#...#########....#.#..#.#.#.#.#....##.##..###..###.
.##..##.###.###.##.###..#..##..#...#.###.#..#..#.##...#.##...#####..#.##.####..#.####...#...#.......##...###..#.#.#.#.#####.##....#...#.#...#...###...##..#.#.##.#.#.#..##.##...##..#.#..#....##.########.##..##.#######.#.#.#.#...###.####....#...#.#.#...###..#.#..#...###...##..#.##.#.#.###..###....##.#....####...#.####.###..####..#.###.####.###..###..#..###.#.###..##.#.######.##.###..#........#..#..#.#...#.#..#.#.####......##.##.##.###.#.######.....###....######.###.###..####..#...###.##.....########...###....##.####.#.####.#.###.#...#.#..######.......##.....####.###..##...##.##..#.#..#...####.###########.....#.#######..####.#...#...#####...#.#.#.#.##..#.......#.###.##.#.......##.##...##.###..#.#...#...#.##.#.#.......#..#.######.#..#####....#.###....##...##.#..##.#.###.##.###.###.##..#..#.#.#####...#.###.##.##.###.##..#.#.##.#.##....#....###.#...#..###..##...##.....#..#.#.##.#.###.....###############..#....#####.......#.#########.#..##.....###..##..#..#.....#.##.###...#..###.....##.####....#.####.#..#.#.##..##.#.#....##.######...##..##.##.###..#.###.##....#..#.##.#..#..##.#.#.##.#...##..##.#.#.#..##...##...###.#.#.##..#....####..#...#...##...#.#..###.####.#.....#...##.##...##.#.#.###.#.##.##.####...##....###.##...........#.#.#.##...######..#.#.....#.#..##.#.###...#.#..##.........#.#....#.##....#..#..#.##..#..###.##....##...#.####...####....#.#..#####.#.#..##...###..#.###...####...#......###.#.#.#.###.##.#..###..##..#.####.#...#.#...###....#..###..###.#..#..#.##....#.....#.#.##..#...#..###....#.#####......#..##.#.........##.##...##.##.#.##.#.##.#..#.##.##.##..##..#..#.#.#...###.#.##.#..#.###..##.#.#####..###.#..##..##.###..##.#....##..##.##..#.##..##....###..##..##...##...#..#..######..#....#.##.#.####.##......#.#..#.####.#...#....#########.##..#.#.#...#######.#..####...##..###..#..#####.....####.##.#####..###.....#..####.#.#...##.....#.#....####...###.##.#.###.#.#.####.#..#.##.#.#.##....##..#####.#.###..###..#...#..#.#..#.##.###.#.##.#.##...#.##..#.###...#...#.#...#...
.#.#.####.#.#.#...#...####...#.#...###..##...#..###...#.##.##..#..####.###.######.##...##.####.####.##..##.#....##.#######.#.....##..#.#####.##.#.....##.#..##...#####..##...##.#.#.##.#.#..#.#..#..#.###...#..###......#...###.#########........####.##.###..#..###.#.#.###.#..#..#.###..#....##.#.###.##..#..#...#.##.#...##...#..#....#..##......#####.#...########.##.####..#.#.#.#.#.#.#.#.....##....#..#..#...#...#..#..#.#.#.##.....##..#.####.#.##....####.#..###.#.###.#....##.##...#..#.#.#.#..##.##....##...#.###.#.#....###.####..#..#......#..####.#.#...##..#.#.#...#..#..##..###.##.#..#..#..#.#...##..####.#.#####.####.#######..####...##.#.#.#...#...######.##..##...#...###..####.##.####...##..#####.######..##......#..#.#.###.####..#.#.#....######..#.###.##..#.###.###..#.##.....#.##....##..#.#..#####...#..#...##..#...#.#...##...##.#...############.#.#..#..###.#.#.##.####.#.#.....#......#.##.##.##.##..#....#.#.##.#...##...#.##..##.###.####..#..###.#...####..##..###...#.#..#.##.......##.####.#....##...##..#..#.######.#...###.###.##..#..##...###.#.#..##.#.#.....#.....##.###.#..##..#.####.##....#.###.###....##....#.###.#..#....#.#..##.##....###.#.#...###.....#.#...#....#.#..###########..###.###...#.#.####..######...#...#..###..#.##.#.#.#.#...##.#.#..#...#.#.####.###...#.#.##..#..#.######.#....##..#.###..##...#..###..#..##.##.#.##..#.#..#.####.##.#....##..##.###...####.##.##.#..###...#...###..##..#.#######.....#.####.##.#....###.###....#.##.##.#####.#....##.####.#.#..#.###.#...########..##.###....#.#.###.#.##.#..##.######..##....##...##...#####.#.#..#.#..###.#.##.##...#..#####.#####..#.#....#..####..##.#.##..#####.#.#....#######.#...##.#.#...###.#........####..#.##.#..####.#...#..#..#..#.####.##.##.....#..######..#....#..#.#..#.#####.#.######.#..#.##..#.####.###.......#.#...######.#.#######...##.##.#...#....##.###..#.#.#.#..#.#..#...###..###..#.#..##..###....#.##..#.##.#..#....#...###..#....#.#...#..#.###..##...##..#...####..#.#....#.####...##.####..#.#.....#.##..#.#.###.##......#..
#..##.#.##..#..########...##..##.#....#.###...#...##.#.....#..#.###.#.#..##.##.#.#.#.###.##.##.#..#..#..###.#.#..##.###.#.#.##.....##...##..###..##.#......##..#.#..#..#.#.#.#....##..##...###.#....#.#..#..#.#..##.###..###..##....#..#.#..#.###.###.###..##.##..#......#.##########..#....#.#....#.#.###.....###.#..#.###.##........#####.#..#.....#...##..###...##.#####.##.##.######.#.#..##.#.###.##.#.###.######...#..###..#..###.....####.......##..###.#..###..##.####.###.##....###..##.####.#####..#.#######..#..#.##.#..#.#.##......#..#.##..##...###.###.####...##.#.##.#.###.#.#........#...##.###..#...#....#.#......#.##...##.###...##.#..#...#...#..####..##.#####...#.#..#.###.##..##.##....##.##.##.####...###.##.#.##.......###.#.##.#.#.....#####.#....#.#####..##.###.#....###.##...#..#.##.##.####.###..###........#..#.##..#.#.#.####.#.##.##.#####..###..##.####..##...#.#..###.##.###.#.#.#.#.###.###.#..##.#.#.##.##..##....###.#..#.#.##..###...##.....#.#....#.#.####..##....##..##.#..##.#######.#.##.....#.#.####.#.#..#.......#..#..#..##..##..##.#.#.#...#....##.##...##.####.#.#.####.##..##.#....#.#...##.#......##..#......#.....#..#.....##..#.##..#..#.#..###.##.##.##.##..#.##.#...#..#.#...##..#.###...###.#####...####...#..####.##..#.##..#.#.#..#######.###.###.#..#.###...###..##..#.#..####...#...#...#.#####.#....####..#..#....#...##.###.#..##.#.##..###..##.##..#..###.#.#..#..#######.##....#.##...#..#...#..#.##.###..###.#..#.#.#..#.##...##..###...#.###.#####..##..#..#####...####..##.#.#..##.....###..#####..#.#.........##.#.##.#..#.#####...#########.#..#..#...###.#..##..##.##.#.#..###...#...###..###.#...###...#..#..##...#######..#..##.##.#.##..#.#....#...###..##.####.#####.#.#.....##..###.#..###.##.####....##.........##.#....####.#######.....#.#.#####.#.#.#..#...###.###.###.#.##....#..###..##..#.#.##...###.###...#..........#######.####.###...#.#.##.####..#.##.#..###..#..#.##.#.#..#...##.##..###..##.######.#..#...###.....##.#..####..###......###.#..##.######.#.#..###..##.#..#.#.#..##....####
###...#..##.#.......#.###.##.###.#####..##.##.#..#..#...####.#.#.#...###..#.....#..#####.###...#...###.#.##..#.########..#.###..#...#.#..######.##.##..#.######.#.#..###.###########..###..###..#..######..##......##...####.#...###.##.##.#....##..###.#..#.#.###...####....####..#..###.#..###..#.######..##.##...######...##.##..####..##..#..####..##.#......##.##.##.#..####.#####..##..#.#######....#######.....#..#####.#.####....#...####..#.....##...#..........##...###.#......##..........#.###..#.##..##.#..#.###.#####.###..##..##.###..#..###...####....###...##..##.....##.#.##....##.##...#..##.#.##########....###....#..##..#...#.#######...##.#..#..#..##.##..#.###.....#.....##.####...#...##.....##....#.###.###..#.###.#..#..##.....###.#.###.###.#.###.#.#....###.#.####..#.#....##..####..###....#..#.#...##.#####.###.###.##.#...##.....##..#.#..#...#..##.#...#..#.#......##.##...#.######...#####...#..#...#..#.#..#..##.#.##...#.#.#.###..#.#.#.##.#..#.###..#.#.#..###.#.####.#....#....##..###.##..#...#.#######....#.##..#.#..#.#...#.#..####..###.##.#...#....#...#.#.#.##.##.#.####.####..#...##.###########.#...######.##.#.#.#..#..###....#.#...#.#.###.###..###.#.#..########...######...##.###.#..#..#.#........#...##....##..#.......##......##..###..#..###.#...#.#.#..##.##...##.#..#.#...#.##.#....####..#..#.##.#.#.########...##.....#.#.###.#..##..#......###....#..#.###.....##..#...###..#####..###..##..#.#...##.##....##..#..#.#.#..###.#.#.####.###..#####..##.#.....###.#...#.#..#.#.##.#.###...#...##.##.......###.#...#..##.###.#.#...#.#.##...###..##.##.#.###.##.#.##.#....#.....###.....###.....##.###...##.###..##.#.##....##......#.#.#.#...##..#.#..##...##..##.#..###....#..#..#####.##.....#...###...##...##..#####.###..#.#..#.#####..##..#.###..##.#######.##.#.....#.###..#.#..#.##.##.#.##.....#.#.##..#......###..#....###.#.####..#..#..#.#.##.#..#########..#####.##.#....##.#..###.##.#...#..###.....##....##.#...##.#..###.#.#..#.##..##.#..#..#.#..##..####.###.#.##.#.##.#.#.#.#.#.##...##....###..#.##.#
.......#####.###.#####...#.#..###..........#.###..##.##.#.###..#.##..#.####..#.##..#.....#....#.##.#.#.####.##.....#.##.##.#.#.#####...##.#.#.##..#....##.#.##.##.#.##.##.#..###.#.#...#.##.#..###.#..#.#.##..##...##.##.#.#.####..##...#..##.#..#.##.###.#.##.#.#..#..###..##.#....#.####.##.#.######...####.#.#.##...###.#.#...##...###.##.#.##..#.....#....#.####..##..####..###.##..##.####.##.#.#..##.####.##..###.##.....##.#.#.##.##.####.####...#..#......#.#..#..#.#.#.#....#..#.##.#..##...###.#....######.#...#..########.#.##..######.###.#...#.#.##..##...#.##...##...####.##.#..###.#.##....#####.#.#####.#.###....##..####..#...###.##..###..##...######.###.###.....#.###...###...##.#..#....###.###...#.#.###.#.#.###..#.##.#.#..#..#.#..#.##.#####.#.#...##.#.#.##.#..#.##..###..####...######.####...........##..###...##.#.....#..#.#.##.##.#.#.##.#.#......#####..####.#..#.#.#.#..##...####..#....##.....#.#....#.##.#######.....##.##.#.##.###....#...#.####.#..##.###.##.##...##...###..#..#.###..#.#.##...##....####....#.##..##..####...####..#####..#.###.##.##..####..##.#####...#..#...#..#...#..#.#..##..#..#..#..##.#.#...#...######...##.#...#..#.#....#...#..##.#..#.....####..##..#.#.#........###.....####..###.#.##...#..##..####....##....###....##.#..#..##.##..#.###....#.#.#####..######.#.#####..#.#.##..#.#...#..##.##..#....#.###......#...##....#.##.##..#..##....#####.......####....#.##..##.#.#...#....#..###.###.#..##.####.##.##.#.####..#..#...##.#...#..#.#..#..#....##....##..##..##.#.###..#.##.##.##.####.#####..............#.#..#.###..##....#...####..#..##..###.####.#....###.#...####.##.##..#.#....#.##..#.##....###.#####..###.###.#.##..###.##..#......#.....##..#.###..#.#..##.#.#######.##.##....##.#.#..####.#.#####...#..####....######...#.##.#....#.##.####....#.....#..##.#...#.#..###.#...#.#.#...#..#..##.#..#..#.###.#....##..#......##..#.#.#.........####....#.#.....#.###..#..#...#..##.#..#..#.#.#..####..#####..###..#.#.#.######.......##.#......##.##...#.#.##.#.#.###.#..#.##.............###...
##.#......#....#.#.#...#..........#.##..#.#.#.#####...####..#.#..##..###.##.##.#.#.####.##...#..###..###.######..###.#.####..###...#..#..##..#...#..###.#.#.#.#.#.#.#..####.##.#..#..#..##.##....#..#....##..###.#...#...#...#.###.#..#..#..#..#..######...######..##.##.###.#.#.##..##..#.###..###########.###.##.#####.#####.####..#.#.....##..#.#####.#.##...##.##...#...#.######..##..#.....##.##.#..##...#.#..#..##.#.#.##....##.##....#.#.#.#....#...#..###..##....###..###.##...#.....##..##.#..####.####.#..###..#.#...#.#.....####....#.###.#..##.#...##.#..#.###.##...#..####..#####.#..##.####.#...#.###..##.#.##..#..######.#####....###.##.##.#.#..##..##..#..#...#.####..###....#.##....#..##.#..#..#.#.##....###.###.##...#.##...#####.#..#.##...##.#.#...#.##..##.###.##.#.###..###.##..###.#####.##.#....########..#....###..###..###....##....#.##...#.###.#.###...######....####.#.#####.##.####.##....##...#......##...#...##...#...##...#..#.##......#...##.###.#.#.###......#.#.#....#....#.....#..#......#..#..###.#..#.##..###.##...#..#.#.###.#.#.#...#..#....#.#.....#.#.#######..#...#..#...####......#.##..#..###.#..#..#....####..#.#.#.#.....#.##.#.#..#.####.#####.#....###.###.#.##.###.####.#..#####..##.#...#.....###.#..#.#..#.#...##.##....#.....######.###....#..#...#.###.###..##.##...###.#.#..####.#.#######...##.##.####.#.###..##...##.##.##...#..##.#...#.##....#.#.##########.###...##.###..####.#.###..#...#.#..###..####.####......##.#..##.##.######.#...###.###.#..##..##.#...###...##.##..###...##.###...#....#.###.#....#...#.#####...#...#...###..#.###.##.#..#.#.##....###.###.#.#.#.....##..##..#####......#..####..##.#.#...#.#..#.#.#.#.#.#.##.#.#...#..#.###...##...#.##..#####.#.##..##.###...###.#.##.....#.###.##..#...###.#.....#.#..##.....#..##...#.#####.#......##.#.#.###.#...#...###.##.#...###..###.#..##...#.....##.#########.#..####.#.##.###..####..##.#..##..###....##.###..#######...######.##...#....##..#....#.#....###.#..#....#.#..###..#.##.#####.#.##..###.##.#..#...#....##....#.###...#######..##
#..#.#....#..##..#..#.#.#.........##.###..##..##.##.#.##.###.####....#..#..##..####...#.....#..##.....#.##.#..####...#.#..#..##.#...#...###..####.....#.###..##.#.#....#..#..###..##...##....#.#####.#.##.##...#.#.##..###...##..####.#..###..#.#.#.#..####.#.#..#.#.#...#..#.....######....#..##.#.#..#.#####.#.#.#.#..#.#.####.#.##.#.#..##.##.....#.##.#...###.#.#..##.#.#...#.##.##..#.##...#.#...#.#..#..###.....#.#.#.#....##...##.#.#####..#....###...#..#.#.###...##.###.###.#..##.###.#...#..#..##....#....######.#####..#..#..#.###.##########..#..#..##.#..##....###.#...###.#.#..#....##...#...#####.#...#....##..###....##.#.###..##.##..#....##.#.#.#.#..#........#.##.#.#..###.#..#..#.#..#.##..#......##..##..##.######...###.######..##..##.....#.#.###.#....##.##########..##.##.....#....##....##..#..##.##....####..##..#....#...#.#..#.###...#.....###.#####......#.######.#.....#......###.##.####..#.#.##.#...####..##....###....###...##.#...#..##.##..##.#..###..##..#.##.#..##.##..#.###.##..#....#.#.##.##...###......#..##.###..#.....###..#...#..#..#..#.#.##...#.#.##.#..##.###..##.....##..##.###.#...#..##.#..###.##..###.#....#...#..#####..####.##..#####.##....#.##.##....#..#..##.#.#.#...####.#.##..#####.###.......#.##.##.#..#...##..#.#.##.#.#...#.##....###..#.##......###.#...#.#.#.##....###..###.#.#####...#########.#..#.###..##..#.#..###..###.#..##..##...#...##..#.#......###..#....#..#.#.#.#.#.#.#..##.##..####.##..####.......#.##...##..##.##.#.#.###.......##.#.#.##.#...#.#####.....###.#.#...####..#.#..#...##.##...##.#..####.##..#..#.#.#...#.#.#....#.......#..#..####.#.##..#....###..#...#...#.#...#.##..........###...#..##.#.....##...###....#.#..##....#.#.###..#..#..#..#.####.###......##..##.##.#########.#....#######..#.#.##.#........#.#####.#.#######.#.##..##.##.##..##.....#.##.#.#.#.#######.#.........##.###.#..#.###.##..##.###...#.....#.#........#.#.#.##.##.##..##..#.......#.######.....#..#.#..#######...#..#.#..###....#....##..##.#....##..#####...#.#.###.##..##....###.##.####...###.####.#.
.##.###..#.###.###.##.###.#.####.##.#...#.##.####.##....#.##...####..#..###...#...#.###...#...##..#.#.#.####.##..#.#######..#.###...#..##.#.#.#.##.##.#.......###..#..######..#..#..#.###.####.###.#.###.#..#..#.###..#.#.#.###.###.#.######.#####..#.#####....###...##.#.##...#.#....#...#..#.#...###..####.##.###.###.......#..##..#.##....#......##.#...####.#..##.#..#...#.#..######.#.....###..#.#.###..#.##......###....#.#.###......##.#..##.#.....##..#..#..#.#.#...###...#.#.#....#....#.###.###..#.#..##.#####.##.#....##...##.#.##...##.##.#.#..#.#.####.#..##...#..##..##.##..#..#.....####..#..#.....#..##..#.#..#.#..#.#.##.#..#.#.#.##...#####.##.#..##..#....###.#.#..##..##.#..#..##...###..###.###..###.#.......###.#.##.####.#.#..###.###...#..##.#......##.####.###.###....##.#..####.#.###.####....#.###..##.##....#.##.#....#.#.#####..#.###..######.####.##.##..#....##.##......#.##.#.#.#.....####.#.#..#.........#.##.#...#####..##..#.#...#.###.#...####.####.....##.#.#....##.##...##.#..#####.....##........###.#.###.#####..###..##..#..#.#.#.#..##.#.##..#####..#.#.##....###.####.#...#.##.......####..##.###.##.#..##.#####.###.##.#.#...####..#.##.####...##.#.##.#...##..##....#.##...###..###...#..#.#.###....##...###...#..##.####.##...##..#...###.#.###....##..#..#..##..####....#.###.###.###..###.#.......#.##.#.#.#....#.##..#.#.##.##..##.##..#...#####.#.#.#.#.#.#.#.#.##.#.##...#..####..##..#....##.#..###..#.#....###.#..#....##..#.###.###.#..#...#..##.#...#####.###.....####.#.##..##...##.#.#.##..#..#..#####...#.#......##....#.##.#..#.#....####.#.###.#....##..#.....##.###.#.#####....#.####....#.#.....##.#..##..####..#.##...#####...#...#...#.#..#...###.###.#.###.##.........#.#..#...#....#####.#....#####..#...##..##.#....##.#...######....##.#..#.#.###.#.......#..#...##..#.####.#.##.#...##...#####...##.##.######..##.#..#....##....#.#..#..#...#.###.#.##..#..###.###.##..##...###.#....#...####.##.#.#.#.##.####.##.#.#.#.##....##..#.##..#.###.##.#...#..#.#.###...#.....#..##.#..######...###......#.##.##.
#...##..#....#...###..#......#..##.#..##.##.....####.##.###..#.###.##.########.#.##.#.#.#..#...#..#...#..##..###.#..#...#.##.######........#.###.##..###..#....##.#.#.###..##.#.#.###.#.#.###...##.##.##.######.##.##......####.######..#..##.##..#.##.##..#..#...##...###..#.##.#.#.#.##.##.##.##.#.#......#.#####......#.####.##..#..###.#..#.#..##.#..#.#......#.#.#....##..#...#..###.##..###....#.###.#.#.##..#..##..#.#..###..#..#######.#############..#..###.....#..##.##...##..#####...#.#...###.###..###....#.#.###.#...#.#..#######.##..#.##....##..##.###.####..#.#.#..###..#..#.###...#...##.#.#.#.###.###...##..##.#..........#.##..#..#.##...##.##...#.####.#.###..#..#.####....#.#.....#....###..#####..#.##..###.#.##......#..#####....#.#####.#.#.##.#......#.##..#.###.#....#...#..##..###.#....###..#..##.###.#.#.##.###..#########.#.#.#..#.#.##.####..#.#.###..#..#.##...####.#.####.##..#...###.##...###.#.##..##...######..###.##..##..#.##.#....#....#.##.#..#..##.##..###....#..##.#.#.#.##.###.##..#..##...#.#####.##.#.##..#.#..####.#..#...#...#.##.#.....######......##..#..##.#.##..###.#.##.###..###...###..#..#.#.#..#......##.####...#....#...##.##.######....#.###.##...#.#.#####.#..##.##.#..######.######.#.##...###...##.##.######.#.#.####....#...##.###.....#####.#...#..#.##.###.#..#.###.##..###.##.#.#.#.##.#..#.######.##.###.....#.##.##.....#.#.##..##.#..####.#.#.##...#..##.#.#.#.###..#..#...........#...#####.##.#.#.#.#..#####.#...###.##......#.#.##.#.#.##..###...###...###.##...###...##...#.#..##....##.#...#..#.##..#.....#.######...#....##...#..#..#.....#.......##...#.#....####.......##.##.......#######.#.#...####.....#.####.#...#.##.##.#..##.##..#....#.#.#####..###.###.#...#.#.#.#.###..###....#.#.....###.#..##.###.##.####.###.#.#.....#######..#.##.###..#.#####..##..#..#....##.##......###..#.##..###...#..#..#..###.##...#.#.##...##.#.####..#..#.....#.##.##..##.#.###....##########.#.#####.###...######.###...#.#..#...#...##..##...#...###..###...#.###.#...###.#...#..##.##.#..##.##..########....
#..#...#.##.###.##...#.......##..#..###..#..##..#.#...##...#.#.##...#..#.#.#####.#######.#.##.#.....##.#..#.##..#..#..##.#..#.##.....####.###..##...##..##....##..#.##....#..####.##......##..##......##....####.##..##..##....#...#####.##.##..#..##.#.###...##.#.....##..#.#...#..#..#.###.....#####..###.#######..####.##..#.###.##...##.....##.##..#..###..######.#....#.#...#.#.###..#.#..###.....#...#.#.####.##....#...#..#......#.#...##..##...##.#.#.##.....#####..####...##.#..#..##.#.######...#..####..##..#..#.##..#.###.##...#...#....#..##...#.##...##.......###..##..##.#.#..####..#############...##.#...#.#.####...##...#.#.###...#####.##.......######.....#...#..##.#...#.#.#.###.....#.###.#....#..###..#.###.###..#....#.####.#.#.###..##.##.##.#####.....#..##...##.##.####.#.#....#.#.#.##.#.#.#.#.##...#.#..#####..#..#.###.#..#...#....#....##..#####.#..#.##..#.#....#####..#.######.#.##.#.##........#.#.#.#...#.#..#.##......###.####..#.##...#.#.....#.###..#.###.###.##.#.#.....#..#.####..#..#.##.......###.....#########.###.#.##..#.####...##..#.#..#.#.#.###...#.#.####..##.##.#.#.#.#.#.##....#.....##.##...#....#..#..#.##.##.#.#..#.###.#..#....#.....#.....#...#..#..#.##.####.##.#.#.#.#..#.###...#.####..#######.....#.##.##.####.#..##..#.##.....#.#..###.##.#.##.....###..#.##..####..###.#.#.###...#...#.#.......#.....#....#.#..#.##....###...######..#.###.....##.#.###.#.###........###.####...##.#.#...#.#.#.#.##.#..#..#####.####.#.....##..#...####.#.#..#...##.##....##..##.#.....#.####..###.###..#...#.####.####..##.##.#..#...#.##..#.#.#..#..##.##..###.....###...#...#.#.#.###..#...##.###.#..#...######.##.#.#.#...#...####...##.######.###..####..####...#.#######..##..##..#####..####.#...#..##..#####.#####.####.#.#.#....##..####.##...#..#..#......#..####.#..#....##..##..##...######.#.#..#.###...##.....#..####.####.#....###.##.##.#.#.#####.#.##.##.#.##.##...##..####.#...#.####..#.##..###...#..##.#......##.######..#.#........##..##..#..##..#.#.##.#.#####..###...#.#.##..##........##.####.###.##...##
.######....#####.#..#####.#.##..###.#.###.........#####.#...###..#....#..#.#.##.##.#.#.####..###.....#..####..##.#.###.##..#.#.####.#.##..###...#..#..#...##.##..##..##..#.##.#####.#...#.....#..#.#.##.###.#.##.###.#######.#.#.###.#.....#..#.#..####.#......###...##.#######..##.#...##.##.###.#.##.#....######.#.#...###.....###.##...###.##..####....#...#....#.#.##.##..#.#.#..####...#.#######..###.##.##.#.##..#...#.#.##..######.#.###.##.##.###.#.#.#######.#..#.#..#.##.#.###.##.####.#..###.........##..#.#..#####..#.#.#.#..###.#....#.##..#...###.#..#.#.#...###.#..##..###..#...#.#.#.#...##.###..#.##.#..##...###....#..####......##.##.##.####...#...#.#....#.###.#...#.##..###.##..####.......##.#.######.#.#...#.#.#.##..####....####.#..#.##...##....#..#.###.##.##.....#.##.##.######....#..#####.....#....##.##...#.#.##.###.#.#.#...#.##.##..##.###.#....##.#..##########.#..##..#.##..#.#..#.##..####...#..#......#.#...##.####.#.#..#..######...##.#########.#...#.##.##..#.##...##.####...#.####.#.....###########.###.###...#.##...#.....#..#.#..###..###..#.......##.....######.......#......#..#....###.##.##..#.###.###.#....#.####.#.###..#.###.####.##.####...#.....#.#.##..#.##..#...##..###..#..#.##..###.##.#...#..##.#.##.#....###.#.##..#.#####..#..#.#....##..##.####..##.#..#.#....#.####.##...###.#.#....###....#...###....#..#..##..#.###.#.#...##...##.#...##....#.###..#..#....#.#.#.#.###.##..##.#.#..###.###.#..#...#..#...#.#...##.#.#.#.#....###.#...#.#.####.#.#.###.#.#.#.#...#.#####..###..#.##.#######.##..#.####..#.###....#####.#....#.####..#.##...#...#.#.###.#..#..###.##..#.####....#....#...#.##..#.....#.###.#..##.##.....###...#.#.#..###.##.#.##.##.#......##....#.###..##.#..#.####.#......#..##....##.#.#..#####...#.###.#..#..#.##.###.####.####..##....##...##.##..#.####..##.#####.####.....#.#.#....#.#.####.#.####..#####..####..####..#....#.....#..#.....###.###...#....##....#.#...#...#..###..#.##...#.#.#.#.#.#######.#.##...###....##.#..#.####..#....##.#.#....#.##.#..####.#.####.####...#.##...####
####.#..##..#..#.#.#..#.#...#...#####.#.#....#....###.###.##.#.....#.......##.###.##.#...####.##..#...#.#...#.#..##.#####....###.###....#.####.#.######.#.##.##.#..#....#.#.#..#.#.####...###...##...#.#.#.#.#...#.##....########...#..#.#.#...##..##..#.#.##..#.#..#.#.#..##..#.#..#..#..#.##...#..#...#####.#.##...#....#.###...###.####..###.####.####.#...#.#..#..#######....#.###.#..........#.##.#....###..###..####.####....#####.##..#...#...#.###.#.##.#.######.#..#.##.#..###...#.#..##.#..##..###..##.##....#.##.###.##..####.###...#.....#.#.#.#....#.......###.#.##..###.####.#..##..#####....#####..#...##...##..#####...#.##..##....#.....###..#...##.#.#...###.##.##...#.#..##..#.#.###...#..#.##..##.#....#..#######.#..#.###...#.##.#.###.##..#.#.####.#####..#..#..####..#.#.##..#.##.##...#.###.###..##.###....#.#..#######.####.#.##.#####...#.###..##.##...###.#.#..#..#...###.###.#.##...######...#.###.###.....#.##..#######..#..#...##.#..###.#..###.#..##.####.#..###..##.#.####.#########..#..##..###.#..##.#.#..#..##.#..#.#.....#.##..#.###.##.#.#..#..##..#...##...#.##.......#.###.####..#.##.#.##...#######...##.....#..##.##.#..#####.#...####.#.###....#...##.##.#.##.#..###...##.#.#.##...#.#######..##.###..###.##...##...##....###.#.#.##...###.##.#.#...####.....#.#.###.###.#.#.#.#..#..#.##..#.#...##.#.##.######.#..##..###.##.#...##.#.##.#.#.##..###.#.##..###.#####..#..###.#.#######.##...#.##.#.#...##..###....##.###.####..#.############..#.#.#...#.##.##......#.#...##.#.#..#.##########....#.####...##.#.#...#..##.......#..####.#.##.#...#.#..#.#.###.#.#....###...#...###....#.#.#..###.##....###....#....#####..#..###.......#####.#...####...#....##..#.....#........#.##.#.#..##....#...#.........####.######..##...#.#.....########..#......####.#.#....#####.##.#.#.#..############.#..#.#############.#..#..###.###....####.##.###...#..######.####.##.#.#.##.....##.#.##...#####..#..#..###.###.######.###..#......#####.#.#..####.....##.##.#...#...###.##..#.#.#.###.##...#.####....#.##....#...###...#...#####..##
....#.......##.####.##.##...#.#.#######.#.##.#..#####.#..#..#.#.####...#.#.....#.##.##.####....#.#.###..#.#..#....##...#.#..#....##.###...##...###..#....#..###.#####..#####......#....##..###.#.....##....#..#.###.#.#.#...##...##.#.#.#.##.#.#....###.##..#.#..#.#....####.....##...#...#.#....#..#.#...###....####.##..#........##...#.#..######.####..#...####..###..#.#.#.##....####..###..#..#..#.##.##.##.###.###.###...###..##...###.##.###..#.#.###..####.#######..##..###.##.#..##.##..##..###...#.#.###...#..##.#...#.#....#.#.##.##.###..####...#..#.###.####.#.#....###.#####..####.......#.#.##....#.##.##.#..####.#..#...##...###.#.#.##..###...##....#...##.#..###.....##.#.##...#......#.######.##.##..##.##.##.#.#.###.###..###..#...#....##...#..##.##.#.########.....######..#####...#.#.#.##.##..##.###.#.##...####....##.##.##...###...#.#...######.#..#.####...###.#.##..#..##.#.#.#.###.##....#.#####...###..#....#....####.#.#..#..##..###...#....####.....###.......###..#..#.....#..##.....#...##...######...#.##...##.##.#.#..####..#.#.#.#.##.######...######..####.###.#####..#......#...###....####..###.##..........#.#...#....#...#.#..#......###....#......##.##.....#####.#.##....######....#.#.######..#..#.##..#..##.########.#.##.###..#..#####..##.####...#..###.#..#.#..#.#..#......##.####...##.#.##...##.##.......##....#.#......####..#.#....##.......#.#.##..##.##....#.##..#.....#.##.#.#.####..#.......#..##.....##.##.#...####.#####..#..#....#...##.#.###.###..#####.....#....######...###....#.#####.#.#.#.........####..........#...###...###.##..#.##.####....#.#.##.#.#.#..##...#...##.#.#.#..#.#.#.....##..#.#...########.##....#..#.#..#..#.#.##.#..#...###.##..#.#..####...##....#..##.###.##..##.#..##.##..##..#.##########.##..#.....####..#.....##.#...#####...#.#.###.....##....#....#.#.####.#.#.##.####..#.#.#..#..#.#..##......#.##.##.#.......#..##..##.##.#....#.#.#..#...###.#...###.#.###.###...#....####.....###..###.###.####..#..#..#...#####.#....#####.#...###..#..#.####..#..#..####...#.....###.##.#...
......#.#....####..###.###...##.#.###..####.##.##.#..###.##.######...#.###.##..##..#.#....#####..#....#.#.#.###.######......#.#.###..#.###.###.##...#.#..###.##.###..##.#.#.##.#...#....#.###...#..##...#..###.#....#....#..#.#..###....####.#.#...#######.#..#.#..#...#....##.##.###...#..#.#..#..###.#......#####....####....###.#.#..###.#....###.#.#.##.##....##.#..#..#.#.#.#..#..##.#.##..#####...##.#.#...#.#...##...##.#.##.#.##.###..#.#.....##.#.###....###..#.#..##..#..##.####.#....##.###.#.#####..#.#..##.##.#..#.#..#...#.##.....#....##..###.#####...#.##.###.#...##..###..#...###.#.......#.#.####.#.#.#.#.####.#...##.###...###..#.###.....#..#.####..####...###.#.####..##..###....#....#..###..#..#..###..###.###...###.#.#####....#.#....#..###.#.#...#.##.#####..#..#....###.##.####.#.#..#.#.##.......##.....##..##.##.#....#....####..###....#..##...##...#.....##.##..##..#.#.#..#..#.#...#.#..##....##..#.#..###..#...#..#.##.......####..#.##.##..###.....##........##.##.....#...#.#.#.##..###..#.###..##.#........###.#.#..#.....##.#..###..##..####.#..#..###..#.#.###.#..#.#.#..####.....###.###.#.##.###....#...##..####..##..#..##..#...#.##.#...###.##..###.##...###..#.#..##...#.####.#.#.#.#.###..##..##..##...#..#.###.####.##..##.#.##.#.....######...#.....##..#.....#...#######...#.#...#...#..##.####.##.##...#.#..####.#.#.#.#.#.########.#.######..#.#.###...###.####......###.#.#.##...#..#.#.#..#.####....#.##..#..####.#..###.###.#......##..#......#.####.#.#.##..#.#.....#.##..#....#...####..######.##.#.#..#.#..#..##.#...#.####.#######..##...#.##..###.#####.###..##.###.#...##.#..##..#.##...###..######.#..#.#...##...###..###..#....#..#.###..#.#..####..#.##...##.##..#..#.###.#.#..#..##..#.....###.####.#....####.#....#####.#.####...#.........#.#.###.##..####.#.##......##....#..#...#......#..#.###.##....##.###....##..###.##..#..#.###...#..###.##.###.#..##.##.#..#.##....#..####..#.#.###...#....#.####....#..##..#.###..##..######.##..#..#.#....#.####..#####...#.#..#...##...#.##....#....#...##.#.####...#
##..#.#.#..####....#.#..#....#####..#..##..#..#######...##.###.##.#..#.##.####.##..#..###...##...........#.#...##..##.#.#.#######.##.#...##....#...##.#.#...##..#.#...###.#####...#....##.......#.#.#..#...#.##......##..#.##.##.##..####.##..#....##.#..#..###.#.#.####.#.##.......##.##..#...#...##.########.#...#.##..##.###....####.#.##.#.#..#.###.#.##..#.##.###.#..####.####..#..####.####....#####.#...######..####.#.....#.#.#######..#.##..#.##...#.##....##.####.#.#..###.######.#...##.#.###...##.###.#######.###...#.#......##.###...##......#..#.##.#..#..###.....#.##......#...#.##......#..####.####.#..#.#.###..#..#.#.#..#.#..##.#.##...##...###.##.###...#..##...###.##.#.....####.###.###...#...#...##.#..#.#.#.####..#..##.##..####.#.##.......####..#...###.#.###...##...#####..#.....#..####....#.##.###.##...##.....##.#.#.#...#..########..#.#.#.....####....##...##..#..#.#####..#...####.#...#..#.##......###.....#.##..#...####.######..##.###..##..#####.#.##...#.#..##.........##..###.#.#.#..##.#..#..##.#.###...#..###.......####.##......#...#.#.....##...#.###.##.###.######..##.#.##.#.#...#..##.#.##...#...#..#.#.#..#.##.####.###..#..####.#....#..##....###...#..#..##.##....#..###..#..#.##.##.#.#..##.##.#.#..#.##...#........##.....##.#.###...#.##.....#.#..#..#####.#..###.#.###.####.#...###..####.###...#..#####..#..#.....#...###..#####.....#...###.#..###..##.##.#.##.#..###..####.##.###.#.####...#######...#####.##...###...###....#.##..###.#.###.#.####...#####.#.###...#.###..#####..###.#..#..#..#.##.#..###...##.#.##.....#..#...####.###.....##.##.##.###..##.#..#.###..###.#.###.#.#.#..##.###.####.#..###.#.#####..#..#..####.##..##.###.#...###.###..#.###.#.#.##..#..##.##.##..##..#.###.#####...#.##....########.#.#..##..#.#.#.#...#####....#.###.####....#.#.#.#..#.#.##......###..##.#....#.######..###...##...#.#..##.##.##...#####.#.#.#..##.#.#.#..#.....#.#..#..##..#.#.#.#.##..#.#....#...##..##....###..##.#.#.#.#.#########..##.#####.#..####..#####.###.#.###.###..#.###.##...#...#.###..#.#.#..##.##.##
....#.##.##...###.#.##.###..#.##....#..##.#.....##.#.#..#...#...####........####.#...##.#.##.#...##.#.###.#.#..#..###..#.#####...##..##.#####.#.#####.##.#.#.#.##..#...##..####...###.....#.###..##.###....#.#.##.####...##.##...#..##.#.##.#.####....#####....#.##.#..##.####.#..#...#.##...#..##....#####.#.##..###.#..##.....#.#...#####.#####.###..###...##..#.####..####..###.##.###.#.#.#.#.#........#.#..##.####.##....#...###.#....#.##.#..###..#..#.#..####..#.#####...######..##..#.#.###.##.##......#...#.####..########.#######...##...####.......##...#..#.#.##.##.##..####..##..#..##.#..#.##...#######.#####.#####.#.#..#.####..#.#####.#..##.#..#.####.#......###.##.....##.####..#.##.#....########....#..#.#.##..#..#......#......##.#.#....#.##.##..#####..###...#..#.#..##.####.##.###..####....##..#..#..##.#..##.#.###.###...###...#..#.###.#.###.....####.###.#...#####.##.##..##..#.#......#.#.##.#.###..#..#.#....#..#...#.##..##.##.#.#.###....######.....###.###....#...#..#.##........#.....#.##.##.#####..##.#.#.#.....#######.....#....##..#.##..###.#..#...###..#...#.##..#...##.##.#..####.#....##.######.#.##.#.###..#..###....#..####.###.###..#......#..#.###....#..#....#.##...###.#...#..##.#.#.#.#...#..######.###..#.##...######...#.#.....#.....#.######.###....##.###.##.#.#####...##...##.##..#####.#.###...#.######.#.#.#.#..####.##..#..##.#....#.##...##.#...###.##.#.#...#.#..###.######....##.###.#..#######..##.#.##.##.###.#..#..#.#...#...#..#.###....##.#..#..####...###..#..#..#.####..#.#.#.#.#.#.......##.###.#.#####.###.....#.###...##..#.#.....#..##.##..##.#..##.###..#.###.....#.....#.#...#..#..##.#.##.##.#...##.#..#.....#..##.#.##......#....##...###.##..#.....#..###.#...#.#..###.#...###....#.#.#####.##.##.####..##...#####.#.##.#..#######.##.....#.#...##.#####.#..#.#.######.##....####.#.#.#.##.####..#####.##.#.#.##.###..#.#.###.#.#.###.#.#####..#..###...#...###....#....#..#...#....#####..#.#####...###...#..##..###..#.####.####.#...###..#.##..#.#.#.#####.##.#..##.##...#####.####..#.###.######
#..#.#.#.##....#...##.#..##.###.#.##..##.###....#..##....#..#.####.#.##.#.##.###.#..##..#.#.##.#...#.###.#.#......###...#..#..#..###...#.##..#.#.##.#.###....#.......###...##.#.####..##.###...#.#.#.##.##...###.##..###...###..#..####..#..##.###..#..##.#....#.##.#.###.#####.###..###.##.##.##.#.######..#.####..#.#.#..##..###...#..#.#.#####..##...#.###...#...#####.###..##.#...##..#..#..#....##.#..#....#.#######.#.#..#....###.#..#.....#..#..##.#..#.#....##.###.#.###.###.....##.#....####.###..#..#....####...###...##.##.#...#..#....##....##.#.#..###.#######.#...#...##..#...##..#...####........##.##.####.#.....######.#...##....###..#...#.#...#.##..###.##..#.#.#.###.##.#....##..#.####....#.###..###.####.#######.#.#####.##..#...##..#.#.##.###.#.#..##....######...#####...###..#.#...#.##.#..###.#####...##...#.####........##.##.#.#.#.##.###.#.#.#....#.####.#..##....###..##..#########.###.##.##.####.#..##..#########.#.###...####....##.#.##..#.##.#.########..#.##.#.##.#....#....#..##.#.###..#...###..#.#########..##.#.####.###.#.#####.#..#.#...#.....###.#..##....###.##.#.###..##....#..#.###.#....####.###.#..####.##.#.#.#.#.#...#..##..##.#.....#..#....#..#.###....#...##.##..................##..###.######.#.#.#.#.##.##..######...#.###.####..#..#.#...####..#...##..#.###..#####.######.#.....###.#.#...#.#...##.##.##...#..##..#..#####..##.##......#####..##.##.#..#..#.#.#.#.#.#..###..##.####.#...#...#......#...##..#..#...#..##..#..##.#..#......##...#...#..#####...#..###.#..#...#####..#...####.....##...#..#....#.#..#..#..#..##.###...#...######...###....###.#...##..#####..#..####...###.###.#..####.######.##..#####.#####..###.#.#..##.#####...#....##..##..#.##.#...##..#.##..#.#..###.#.#.##...#..##....#..###.##...#...#.######.....#....#######.#.###.#.#.##..#####.#.#.#.....#.####.##...##.####.###...#..##....###..###.####.###.#.##..#.##...##.###.#.##.##.#.#..#...#..#.#...#.#.#...#..##.#.####..##.###...#.##...###.#...###...#.##..#.##.##..##.#.#.###.#..###.##.#...#.##.....##.#.#.#.....###...#.###.#
.#...###.####..#.#.#..#...#######.#.#.#.#.#..#.##.#..##.#.#..#.#...#####.####..#....####.##.####.#...##.##..#######.##.###.####.###..#.###.#.#.#..#.....#..###..###..#.###..#.#.#.####...#...##.#.####.....#.###.#...##.#..###.#.#.#..#.##.###.##.###...##.#.###.#.#...#.#..#..#...##.######..###.#####.#.##..###.....##.##.##..#.#.#.#..#..##......#.#..#.#.###...####.####.###.#..#..##.#####...#..###...##.##..#.##..########.####..#...#..#..#.#.#...#.###...#.##..#.#####...#...#...##.###.###.##.##.#....##..####.....##.....#.#..#.#.#..#.#..##...#..#....#.##....#.##..#..........#......###.###..#..##.#.#...##.....#.#.##..###.##...##...#####..##..##.#..#.##......#####.#.##....##.#..#.#..##.##....###.#.##.########.#..#...#..#..##.#.#..#####.##..###...#.######.##.#.##.###.##.....##...#.##...#.#...#####.#.##..#.#....#.####..##..####.#.##..#..#..##..##..#####...#.###.##....#...#..#..#.#..##.####.######..##.....#.###.####.#.#.#....#.##.####.###..#.##.#........####..##.##...#..#....##...###...#.#####.........##.#.#.#....#..##.#.#.#....##.#...#.####.###.####...#....###..#.##.##.#...####.###..#...##..#..##...#.####...##...##.#..#.#...#.#..#.##.#....#.#.###.##.##.####.##.###.#.###....#..#..###...##....#......#...#..#..##########.#####.#.###.###......#.#.....#.....#...#..##...##.#...#####.##..##.#..#..#####.#.#..#..##...####...#.###.#####....###..#...##...#.#......###..##.#.##.#..###.####.###..#.....##.###.##....#...####.########.###..#...##....#...###....##.##........#######.#.#.######.....#.#...#....#....##.#.#.#######..##....####......#..####.#.#...#...#.###..#.#.#.#..#########..##.#......#.#...#####.#...######.###..#...#....#.#.##.#####.####..##...#..###.#.#..#......#..###.#..##.##.#..#.#.#...##.####.###....#.#.#.#..#####.#..#..........#.#.##.#..#.##.###.###.##.....#..##.#..##...#.####.#.#.##.##..#.#....#.#.....#.......####.####...#.###..####.#......#.##.#.....#.#.####...#.#########......##...######..###...#.####.###..####.#..###..#....#.#.#..##..#...#..##...#.#.#.##..#.###.#####.#..#.#..
#...#...###..###.####.##..##.#.#..##.....#####..###...#.#.#..##..##.###..#.##...##..#..####.....##.#...#.##.#....#.####...#.#....##...###..###....#.####.#####.####..#.#...#.######.#..##...##.###..#.##.##.##...##..#.##.########.##.#.#...#.#.#####.#####........#...##....#.####...######...###...#....##....#...#.###..##..#.#.#.....#.###.##...##.#..#####.#....#...#.##..##..#.#...........##..#..#...###.####.##....##.##.####.###..#####..####.##.#...#.####..###..####.#..##..###.....#....##..##....#.##...#..###..#.#.#.###.......#.##..######.#.#.#..#####...#..#..###..#......######....#####.###..#.##....##...##..#####.#..####.#.##.#.##..#.#...####..######......##...#.#..#.##...###.#.###...#.#.#.#.##.##.....##....#####..#......###.######.###.###.#.#......##.##.##..#...##.##..#..#.......##.#.##.###..####.####.#..#.##..#.###.#...##..####.###..#...####..#.##.#..###.##.#.###.#.#.......#####.##..#.##...####.###...#.....####.#.###.####....#####.#..#.#.##.#..##.#..#.#######.##..##.#.#.###.#..##..##.##.#....##.#...###.###....##.##.....##..###.####.##.###..###..##..#.##.###.#.#.#####....#.##....#.##.##....###...####.##....####..#...##.#..##.#..#.#..#.#.#######.....####..#.#..###.#.######.......##.#.##...#.#########.#.##..#...#...#...###..##.....####.##.#...###..#.#..#...##.####......#....##.##....##.#......#...#..##....#..#..#...#..#.....##.##.##....##....##.####.###....##.#...#....###.#######.##.###.##..##..######.##.#..#..#..##.......###.##.#.##..#...##.#.#...#..#.#.##...#...##..#.#..###.#.#...#.##.....#.#.#####..#####.#.#....#.###...#.###....###..####..#.#.###.#...###.###...##.#..#.##..###......#.#....##.#.###.#...#..##.#..##....#..#.##.#......#.....#.#.....#..#..###.#.##.#.#....#.#.#..#.####..##..##..##.#.###.#..##.#..#..#.###.#.#..##..#.#.........##..#..#......#.##....###.##...####.##.##########..#...#..#.#..##.###.#.##..#.##..##..#...###..###..#.#.#.##..#.#..########..##.##.###.#..##.####..#.#..###.#.###........##.#....###..###.#.##..######.#....##.###..#.##..#..#..#.##.##..#..###
##.#####.#.####..#.#...#....#....##..###.#.........#......#..#..##..#....####.##......#.#.#.....#...##.#..##..#.##.####.##.####..##...#.....##.#......#.###...#.#####.##.##...##.###..##......###.##..#...#..#......#.#.#..####.#.###.##.#.##..##...###..#.....####.##.##....#.#.#####.#....######..#.#.#.#..#..####..##.....#.#..#..#.####...###....#....#..#.#..####.#.##..##.###.#.#..#.##.####..#..#.#...#.#...###.#..#..##..####.##..####.#.##..##.#.#....###....#..##...#...#.#....##...#.##...#.#.#.#.....#....#..#######.#.###....#.#####....#...####.#.##....#..##...##.#.#.#.##..##....#.#.####..#..##.#..##..##....##..###.#.##...#...#.##.######.#.#...#....#..#.....##.####..##...#####.##..#...########...#.###.###.#..#.####..##..#..#....##...#.##.####.#.###...##.#..#.###.###..#.#..#.##.###.......#..###.#..#####..###..#.......#.#.##...######...........#..#.####.###.##..###.##.###..###.#....#.#....#.#..#.#.##...##.....#..##.###.#######.#...##...#.##########..#....##.##.###.##.#.#.#.####...##..##.###....##.#.#..####..#..#.#..######.##...#.#######.###...##...#.....#..##....###..#...#.#.....#.#....#.#..####..####.#...#.#..##..###.###.#....#.#.#.#...#...##....#.###.###....##.###..#...###..#.##.#....#.##....#.########.######..#....#......###.###.#.#######......###....#..####.###.#.###.#..##..####..#.#.##..#....#...####.###..##.#.###.#.##.####....#...##.###..##......#..##...####..#...##.##...#.#..###....###...##.##.##..######.#.##.##.#.####.####..###.####...###.#..##.#.#..#..#.#..##.#...####.##..##....##.#.#...#..###....###.###.##...###...#.##....#.#.#.##.#....##...######.#...#..#.#.##..###..###.#..#...#.##.#.#....#.####.#.#...##.##..#.##..#..#.#.#..#.###....##.###.###.#####...#.#....#..#.##..#..#.##.#.#...#.###.....###.#......#....#.###.....###..##...#..##..#.#.#.####....#.#.###..#...#.##....#.##...##.###..#...###....###.####...#..##..###...##.#..#####.#..#..#.###..#.#.#.###..##...#........##.####...#....##..###.#.#..#.##.##.##...##.#.#####.#..#.#.#..##......#.###.##.##..###..#..#.##.#..###
##.##.#..###...#.#........##....#.#....##.#...#.#.#######..####..##.###.#.....##.#.#.##.##...##..##.#####..#....#####.##.###.#####.####...#..##.#.####.#......###.#.......#.##....###..#.#.#.####...#....##.###.#..#...#..#.#.###.#.......##..##..#.####...###..#....##.######..###..##.#...........#.....####.#....#..####.#####.###.#.#.##..##...#.#....###..######.#####......#...#.#......#....###..#...###.#######.#.#.#.#..##......#.#...#.....##......##...######..###...#..#..#.####..##..##.###.##..##.#..#.#..#####..#...##..##.##.#.#...#.#..#.####..##....##.###.##.#..#...####...######.###...####..#..#.#.......#..##.##..##...##....##..#.###....###..###..#..##..#..#..#..#..######..###..#######..#..####....##.####.....###.....#.##.##.####..####...#.#.....#.#.#.#.#.....##..#.#...#....#.##..#...#.###.#.#.#.##..#######..#....#..#.##.#.#...#.###...##...###.###.#.###.#.###...#.###.#...##..###....#.###..#.#.##.###.....#....#.###..##.#####.....#..#######..#.#..###########.#..##.##.#..##.#...##...###.##...#.#.#.#.###.##.......#....####.##.#..##..###.##.#...#...#.#.######..#.#..##.#..#.#.#..#.####.#..###.#.#...#.#..##..##..##.#.#.##.#.....#.###....#..#.####..##########..#....#####..##.#.####....##.####..#..###.#..##.#.###.#.##........#####...#..#.###..###.##.#.##.###.###.#...####.#.###....#.#.#.#.##..###.##..##..##..#..##.##.#.###.#.###.#.......#.##.####.####..###.....#....#.#####.#.#.#.##.#...#......##...##.#####.#..........##..##...#..##.#..#.#.#.###.......###.###.....#...#.#.#.#...#.#####...##....#.#........##..#.#.##..##.##.##..#.##..###...##..#...#.......###..##.##..#..#..##...###..##...####..#.##..##.#..##..##.##..#####..#.#....###.##.#.###....#..#..#..##..#.#.#.##....................#.###.##.#..##...##..#..#..#....#...##.#..######...##....##.##.#.####....###.#.#.#.###....##.##.##.#####...#..##.....#...#######..###......###..##.###############.#..#..#..#.##..#.##.#.###..#.#.....###..#.#......#..#.####..##.#....#.....######....#.#.##.#...###.#####...#..###.###..#.###.#..#......##..##
.#.#...#......#..##....#.#.#.##...###......###.##.....#..#.#####.###.....#..##.#..##....###.##...##.#.#.#.##.###....####..##....###.#.#.#.##.#..###..##.###.##...##.####.#.###.......#.#.##...##...###..##..####.#.##.#.###...#.##....#..#....#.#...##.#..#....##..#..#.####.##......##.##..##.#####.....#..####.#....#..###.##.##.#.#....##..##..#.####..#.##..####..#...##..#..#..#.#.##...#.....##...###....#.#..#.###..#.#.#......#.#.##..#....#.####.####..###.#..##..#.#..##..#.###.##...#..#...##..####.#####.##.........####.##....####..#....##..##.##..#.#..###...#####.#.###.#####.#.#.##.#..#..##..###....##..#.#####...####..#........########...#####.#.#.#..##..##.##.#.##.##...##...#.#.##.........#...#...#..#.#..#.#..#....#.####..........##.######.#....##....#####.##.##.##..#####.###.#.#.####.#.....#....#.###.#...#####...#..#..##.#####.##...##.##.#....##.#..###..#.#..#...##.....##.####..##...#..#...###.##.#...####.#####..#...##...#...#.###....#..#.......##..##..#.##....##...#.##...#.###..#....#...###.#..#..##..###.....###..........####.#..#.#######...#####.#.###....#.###..###.##...#.#.##....#.##.#..#.###...#########.###.#..#....#..##.#.##...#.#...#..#.....#.#.####.##...#..#.#.##.....#...#..#......##..#####...##.###...#...#...###..#...#..###..#.###.#...###......#..#.#..#.#..##.#.#.###.#.#..#...##.#....#.#.#.#....#..####...#.##..#.##..###..#..#...######.#.#####.#......#.#.##.#.###..#.##.#...###..#.#....#........#...##..#.###.#####....##....###..#.#...#...##...#.#.####.#...###.#..##......#.#.#.####.##..###.###...#..##..#..#..#..#.#.#.#..#.###..#...#..#####..#.#.####.###...##.###.#.###.#.#...##.#..#..#.####.###......#.#...#.#.#..#......###...##..#...#..###..####.#.#.###..######.###.#.#######........#.#.#..#.#.####.###...##.##.###.#.###...####.#...#.......#.###...#......###########.....###..#.#........#....#..#.#.####.##.####.##....#..##.###.#.####.#..###..#.##.....##...#.##..##..####...###.#.........##.##..#.##..#.######.#.#.##.########.##.#..#...###.##.#..#..#..#..#.#.#.###....#.#..#
.#.###..##....#.#.#..#.#...##.###.##.##..#.#.#.#...#.#####...#.#..#......##..#.#...##..###.#..##.##.####.###.#.#....#...#.###..#...########.####.#.##.##.######.###.###.##.#..#..###.#..##.#.#.##.#.##...#.##...###..#.#..#.#####.#.##..####.#.##..##.##..###.#.....#.#......#...##.##.##..#.#.##.....##.####.#........##......#..###....#####..#.###...####...####......#.#.#..#.##.#...#....####....#...#..##..##..###.#...###.#..#.....####..######..###..#.#.#..#.##...#.###..#..#######....#.#..##.########.#..####..##.....###.#.#..#...##.##.#..####.##.##......##.##.##.#.#######..#..#####..#...##.##....#.#.#..#.#....#.#.#.....#..#.##.###..#.#..###...###...#.##.##.....##.####..##.#......#....##.#..##.##.##########....###...#.####.#...#.#..#.#.##..#.####..#.##.###..##..##.###.....###.#..#.#..##.#.....###.#...#.###.####..###..##....##.####...#.###..#.###..##...#.#.#.#..#.#.#..##.###.##.###..###..#####.#....###.#.##.#.#....#.##...#.#..#.##...##.##.....#..##.#.#........###..###..#.#..##.####.##.#.##.....#.#..#.###.####.#..##.##..###..#..##.##.###.##..#....###..##..#...#####....#.#..#.#..#.####....#.#..#..##.###...####..#.#.#.#.##...####......#.#...####....#.####.##..##.....####..#.#..##..###.####.#...#.##....###..##.##....#..###.###..#.##.#.#..#...###.##.#####.###.###......##.#####...#####.#.#.#####...##.###..###.......#.######.##...###.#.#.#.####.#.###.#.#...#..##.##.###.........#.#..#.#..##.#..###....##.#...##...####...#...#####.#.#.#.....#..###...###.########...###..#.##.#...##.##..#.#..#..#.#..#.#..#...##.#####..##...###....#...######...#..####.#...##.#....##..####.#..#.....####..#.#...##.#..#....###..####..####.#.##...#....#...#.....##.#.#..##......#...##..##..####..#..#.#..##...##.#.#..##.##..#.##.#.#..##..#.#####.#..###.######.#..##..#.#.#..#..####..#..##.##...#...##.#.##..###...#.#.#.###.##...######..##.###..##..###..###..#.####..#..#...#...######......#####..#...##.###.##.##..########.###..#.#..#...#......####.#...#.#...##..#.###..####...#.#.###.##.######.#..#.####.###..#..#...
##.#...#.#.#..#.#.##.#.#.##.##.#.#.######.####.####.#.#.#.##...##.#...#..####..#..###.#...#....#..###.#..##..##..##....#####.#..##.#....#...#.##.######.##...###.....#.#.####.#..#..#.####..##..##..#...###..#.#..##.#.#.############.##....##..#..#.#.#..#.#.#.....#.###..#.##.#..#.##.##..#.###..###.##....##...##.#.#.#######.##..#...##..#..##.##..##.#..##....#...#.##..#..##...#.#.###..#...####....##.#.#.#.....##.##...##....###.##..###.....###.######.###...##.#.##.###..##.##..#..##.#.###.###.##.#..###..#.......##.##....#.##....#..##.######.#.#..#.#####...##.####....##.##.#..#.####..#.#..#.#...###.#.#.#.##....#.#.#...#.#.##.#..#.#..####.#..#..#.##.#..#...#.#.######..###...##.##..#....###..#....###.#...#.#.##....#..#.########....#...###.###.#.####..#.##.##.#...#####.#.######.#...##.#...#####....###.#..##.....####...#....##....##..####..#####..#...##..####..#.###..#.#####.##...#.....##.#.#.##.#.#.#.#...#......####...##...##..####...##.###....##..#....##...#.##.#..#.......####.#..#####..#.#...#..#..####.#.##..#..#####.#.#######.#.#####.##.#....#.#....##.#..#.##.#.#.####.##...#.....#.###..###.#..........##..#..#####.#.#..##..#.##.###.#..#.#####.##..#........#.##...#.###.#..#..#....###.##.#######..##..#..#.#.#..####.###..##..###..#...#.#..#.######....#.#..#...###..#.###..##..###.###..#..#.##..#.##.......########.##.##..#..##.#....#####.#.#.#.#.##.#..#..##.###..##.####.##.#..###.####.#..##..#..##.#..#.###.##..#.#.##..#...#.##..###...#.##.#...#....##.#####.###.##......###.##.###...##..###.#####..#.##.#.....##.##.##..###..#.##...#.#..#.#.#.#.##..#...#..##...##.####.##.#.#####.......##.##...##.#..##..####..####.##.....##......#.###.######.###.#######.....#..#.#####.#.###.##.#...##......####...#.##.#..##.#.####.##.#######..#.#.##...####..####..####.##.....###....#..#........##..##.#####..##.#..###.#..##.#....####..#..#.#####.#.#...###.##....##..##..#.#.#.###.##.##.#..##.###.#..#.#..###.#..####.###....##.##.#.##.###.#.##...###..#.##....##.##.#.##.#....##.#...##.########...###..#.#....
#.#..#.####.#.....#.####.#..#.##....##.###...#.#.#.#.####...#..#..#..##.##.#...#.##..#.#.####...###.##.#.#....#.#.#..#....#####.###..#.####.#.#.#.###.##..#.###.#.....########.###.##.#.#.....####..##..##...#.#.#######.######...##..##.#.###.#...##.#..#..##.#...##.#.#.#..##.....##.###.####.##.#...#.#..#.#####..##..#####.#..##......###.#.#.#..#..####.#.##.##...######.#..###.##..#...#.#######..##.#...##.##.#..##.###...##.#####..#...####...##....##.#..####.####.#...#.##....#.##..#......#...#.#########.#....##.#.####....#....##.##.##.#.##.###.#..#.######.#....#.###.#....##.....#.#...#..##...##...##.........##.#....##.#..#...##..#.#..###.#.#....###.#..#####.##.##......####.##.####.#..#.#.#...#####....#.##.#.#.......###..#...###.###....#....#.#.##....#..#####...###########..#..##..#....##.##.###..####.#..####......#...##..##..#####...#.##.#....#.#####.##.###..#.##...#.###.##...#.##.#..#.#.####..#....#######.####.###.#.##..##.##...##....##..#.#..#....#.###.#.#...#.#...######.############.#..#..#..###.#.#.#...##...###...#.#..#.#..#..####..###......###.....##.##.....##.##.#.###..#.#.#.#..#.##...####.........#####..##.#.#.....#.##.#.#..##..#.#...#..###.####.#..#..#...#..####.##..#..#..#.####.#.......#.#.#.#.##....#.#.........#.#.##.#..#....##...#.......####...###..###.#..###..##..#.####..#.#.###.###.#.####..##.#######.####..######.#.#.###....#..###.#.##....#.##.##...##.#.###..##.#.#####.#.######...#..######.##########....#...##.#..#.#.#.#.#.#.#......#.#....#...#..#.#.###....######..##.##..#.#.....#########.#.#....####...#....#####.######.##.##.#..#.##..####..###..#..##....####..#.###.#.####.#.######.#..###.##.##..#........##..#...###.##...#.#..#..##...##.##.###.###.##...###..#####..###......#.#.#..###..###...###....#..#.#.#.#..#....##.#.####...#.###..#....#.####.###.#.##.#.#..#.###..#.#.#.#####....#.......#.##.#.#..###.#.##.#.#.###.####.#..#...#..#.###.....#.###.##..#..#..##.#.##..#......#..#.#..##..#...........#.##.#.###...###.#####.#..#.#..###..#.#.#.##..###...####.###.#.###..
...##.##..#..#.#.####..#...##......#....###.####....#.##...##...##.###..#.#...###.#.#.........#.#..###..#.#..##...#.#.#.##.#....####..#...###.#.##.#...#.##..##..#....##.......###.##....#..#.##....#..##.#.#.#.#.##...##.##.#.#.###.#.####.#.##....##..##.#.##.....#.#.###..#...#..#..#.#.#######..#.#..##..#...##.#..#.#...##....##....#......####.#.##..#.##...#####.##.###.###..#.#...##.##.##.#...#.....##....###....####...#.#..##.##..#.###..#.##.#.....#.#.##.##...###########...#.##..##....#...##..###.#.##.#.......####.#####...#..#.....#..##.##..#..##..#...#.##.......##..#####.#.####.##.#.##.....#####....###.######.#.#.##..###..#.#..#.#..######...######...#....##.#..###.#.#####.#....#.###..#.#......#.#.#...#.##....#....##.#......#.#...#..#....##.#..########....#..####.#..#......#.##.#.#.#......###.#.#.####.####.#.######...#..#.##.##.#.###.#.##..#.#.#.....##..#.###...##...#..##.##..#..#.#.#.###..#.#.######...#...##.###.#.#....##.####..#.#.#.....##.#####.#..##...###.##...#...#......#.#..####.#..##..#...#..#.###.####..#..#####.#.##.#...##..#...######.#..####....##.#.#######.#######.#...#.....#..#.#...#..######..#.###.#.....#.#.#..##..##..#...#.#.###.#...#.#####....#..#..###..#...#.#...#..##.......#.####..#..##.#..#..#...#.##........#..#..#......###.#.#..#.#..##......#...#.#..#.#.#.###.##..#....###.####.#...##...####........####...##.######.##.##..##.#.#...#.###...###...#.#.#..##.##.###.#..##..#######.#.#..###...####.#...##....#.#..#.#..#####.#..##...#....#.####...#.#....#.##..###..#..#....#####..#.###....#.#.#.#.....##.#####.#..#.##.#..#.###.#....##.##.##.##.#.#.##.....##..##.####....#.#...##..#.#.#..##..#####.#..####..##....#..#.#####..#.##..##..##....#.#.##..###.##.#....#.##.#.#..####.##.####..#..##..#.##...###..##....#..#..#.#.....#..#..#...#..##.####.#...#.#.#.#.#..###.##.##....#..#####...####.##...#.###.##.###.##.####...##.#..#.#.#.#.#..#....#.##...#.#.........###.#.#..##.##.#..#.#......##..#..###.###..##.###..##.###.#..##...#.#.#....##.###.##.#.#####.......###..###.###....
#.##.##....####.###.##.###.###.#..#....##.#.#....##.##.#.##.#.#.#..#..###.#.#..##.###.#......##..###.#..###.#.#######......#.#.#.#..##.#..##.....##.#.....##..#.##.#..#..#.#.#.#.#..#.......#.##..#.#.#.####....#...##.#.##.#....#####..#.###.#....###........##.#.##..###.#.#......#.####..#....###.#..#.#.#..##...###..#..#.#..#.#..#...###..###.....#...#..#.#....##.##.##.#..#####.##.###.#.#..#...##...#..###.#..####....####...#..#.##....#..#.#.###...#..###...#....##.#.#.####..####.###....#.###.#.#.......###...##..#.####......##..##..##....##.####.##...####.##.#.#..#...#.#....##.#.#..#.####.##.##..##..#...##.##.#.##.####.###....#.#....#.#..#.#.###.###.....##..####.#.####..###.##..#..#...##.....#######.###.######.##.#####....#..##...#..#....#.#.###..#..##.###.###.##....##.##..##.#.###.####......##.######..#######.#..##.#..#......###..##..#...#...##.#..#.#######.###.#..###.#.#..#...##.##..##.##..###.###.###...#..#.###.#.#.#....##......#.##.#....##....#.#..#.###.....######......#...##...##....#..#......#.#..####...###.#.#..###.#...######.#...####..#####..######..#..#..#.#..#...#...##...##.##.#.#.#..##.#..##.#.#.##.##.#.#....#####..#.#.#..#...####..##.....#..#.##.#...##.....##..####..#.#.#....#...#..#######..##...#..#.#..#..#..#.##..###.#..####.#####.#.#...##.#..#..##.##.###.###.##.#..##...#.##...##.####.##.#...#####.#..##..#####..####.##..#...#..#.#.##..#####..##.#.###...##.##.#.#.#..##..#.#.##.#.#.#..######..#.#...#...###.##..##..#..#######....#.#.#####....##.#.##....##...####.#########....#.#.##..#...###....#.#..#.##..#.#######.##...#........#..####..#.#...#...##..#.#...#.#...####.#...##.#...##..##.##.########.....#....##.#.#..#..##.#..##.#.#..#..#.##....##..###..####.##..###.....#...###..#..#..#..#.##.#.##...#..#####.###.....#..#.#.#.##..##...###.#........##.....#....#..##...#..##..#.#.###...##....##.#.###...###.#.####.#.##...##.##...#..#.###...###..###.#....#.#.###..##.....##.#.#..#.#.###.#....##..##..##...#....#..#..###.#.#.#.####.#.#...#.##.####....#.#....##..####.###.#.#.
#.#..#...#....###...##.#.......####.#..##...####....#.....#.#..#####....###..#.#.#...#..#####..#.#..#########.###....##.###......#..#.#.#...#.#......####..#..##...##.#.#.#....#...#####.#####.##..#######.#..####...###..##.##..######.##.##...####......##.......###..#..#.##..#..##.###...######.###.#..#................#...####.##.#.#..##.#...#####.##.#..#.#.#####...#.#.##.###.###.###..#.#..##..#.....###..##..#.#..#####..#..#####.###..##.#.#..##...#######..####...###.#.##.##....##..#..###..#..##.#.###..###.##.#...#.#.###....#...#..#.#.##.##..#.##..#.#.#.#.....#...#..#...###......###.##.#.#.#..#.#.#####.##.#####..#..##.###..#.#####.#..####..####..#.#.####..#....#..###.###.##.#..#..###..#.#.#.##.##.#.##...######.##..#.#...###.##...######.....###.#...#.###.##...###....#..#.##.##.##..####.#.#..#..###.#.####.###.#..#..###.#.#.###.##..#####..#.###.#.#.###.#..####.....#..##.#....#####.#.#...##.#.....###..#.###....#..###..##..####.#..##.##...#...##..##.##.....#####.#......#####.##....#.#...#.....#..#.#..#.#.#.#.##.##.###.##..##..###..#...##.#.##...##.#..#..#..#.#.###.#..#..#.###..###.#..#######.#.#.#..#.....##.#..#..#...#.####...##.#.#.###........#...##.###..#.....##.###..#...##.#..#..###.#..##.##.##.#.##.....#####.#.##.#.#.##.##..###..##..####.#..#.##....#....##.#.#.#.####.....#...###..#####.##....#.###.##.#.##..##.#..##.###.#####.#..#......#.##.#.#.###.##.##.##.#...#.#........#..#.#.#....####...#.#.#..#.#..#..##.##..#.###..###..#..##..#####..###.##..#.###..#...###..####..###.#.#..#..#.#..#......##..#...#.####.###..##...#..#.#........#..#.##........#.##...##..##.##........#.#..##..###..####...#...#.#.#.....#.#..##......##.###.###.#..##...########..##.#..#.#.#..#.#####.#..#.#...#..#..##...#....#.##.#..#.#..#..#...##..#..#..#.##..#..#..#.#.####.#......#.####.##.#..#####.##...###....#.##.##.######..##.####..#..##.#....#.#.#.#..####..#.#...#...#..#..##....###..#..####..#....#.#.###.#..#.#.####.########.#..##.#...#....###...#..#.####.#..##.#.##.....#...#.##..#...####.##......###...#
#.#......###..####....#....#.##..#...########..#..#.#.###.#...####.#.#..##...#...#.###......#.##..#.##...#.#..#.#....#.#..##.#..#..#.###.###..##.####.###..#.#..#####.###.###.#####..#..##...#####...####..###.#.##..##..##.#.##...###....######....##.#...##..##....#.###..##..#...#..#.###..#####..#..###.#..##.###.#..##....##.#.....##..#..#....#.#.###...........#.####.#.#..#.#.##.#.#.#.###.##..##..#.###.#...#######..###.#.#...#......##..#..##.###..###..##...##..####.##..#.#.##..##.....#...#####.###....#######...####.....##.....#..###....#......#.######..#..#.....####....#.#.##..##...######.##.#..###.#..###..#..#.####....#..#..#.#####.#..##..#.###.####.######..#..#.###.#.##.####.#.###..###.##..#.####..#...#..#####..#..####.###....#..##.#.#.#....#.#..###..#.##...####..##.#.######..###..#......##.####..#..###.#.......#######.#..##..#...#...#..#.#..##.#######.#..#.#.##.##########.#..#....#.#..#.###.#..####.##.##.###.#..##.#.##...#.####.##..###....#.#..#.#...###..#.#####..#.##.##..#.###.##.##.#...#.#.###.########..##.#....####.###.###..#.#....##.##....#..#..#.##..#..##.##..#.#..#.#.#..#...##..##.###.#..##..####..###...#..#.###..###.#..#.#.###..#...###.#..#.#...###...#...###..##..#..###....####...#####.##...###...##.##.###.#.#..##.####..######...##.##.##..#.#..###.##.#...#.##.....#.##..###.#..#......####....#...#.#.#.##.#.##...####....#####.#...##.##..##.....#...##.####..#..###....##...##...#.#....####.#.#.##..##.#.....#.#####...###...##...##...#............#.#.##.##.#####.#...#....####..#.####.#.##.##..#.#####..##...##..###...###.##.....###.##.#.#.#...####.......##..#....##..#..####...#...####.##.###.#..#.#..###..####.#.#...###.#..#..#.#........#.#..#.#...#####.#.###....#..#...#...####......#.#...##.#.##.#.###.###.#..##.##.#######.#......##..##.#.###.#...#.#.#####...##.##..#.##..#..###.#.###.#..##.#.#..###..#.###..#####.#....#.##.###.#.###.###..#..#.#....#.#..#..##.##.#..#..##.#....##.#.###..####.#.#...#.##.#.#..###.....#......#...##.......#####..#.##.#.#...####.####...#.#...#
#####...#...#.#...#....####...####..###..#.#.#.#..##..#....##.#.###.##...#.##.....#.###..#.#...####...##..##.##..###.##.###..#.......#....##..##....##.....###..##.#.######..###...#.##....##.##....#####.###..###.###.#...#..#.#...#.#.#....###.#.##....#..##.#.#.##.#.#.#.##..######.#....###.##....#..#...#.#.###...#....#.##.##.#..##.#..##..##.##..#.#...#####.##.##....##..##.#...#.#.#.##..#..#.#.##..###.#.######..#..#.#..##.##...#.##.......#........#..####...###..#.#...##.###...###.#....###..####..#...##.##.#..#...#......#####.###.#.....###.....#.#..###.#.##.#.#..#.#..###...##.#####.##.#.###.....#...##.###..#.#.#.#..#.#.####.##..##....#....#.#.##.#...#..######..#.##.#####.#..###.#.###..####.#...######..#...#...####.##.#####.#....##.#.#..#.##..#.#..##.##....###..##..##..#.##.#...###.#.....#...###.#.##.#...#.####..#....#......#.#....####...###..##.###.#..#..#....#.##......####.#######..##..#.##..#...##.#.##..##.#.#...##.##..###.#....#...#...###..#.###..###...####..#.....##.....###..####.#...#..###.##.####.##.#..#.##.#.#.##.#.......#.#..#.#..##.#..#..##.#######...########.#...#.##.####.##.#######.##..#.####...#..#..#.##.......####.##..#....#.##....#####.#.#.#..##.####....#......#######.##.####.###.#..#####..#.##..##..####.######.....##.#...#.######..#...#....#####.####..#....#.#..#.#.########.#.#..##..#.##..#..##.###.####..#.##....###..#..#.##.##.###.####...#.##..##..#..##.##...####.#.##.#...#.....##.#.####.#.#.#..#####..###.##.###...#.....###....####.##.#.##.#.#..#.####...##...#..######.####.#..#...###..####.##.##..#..###..#..#...#..#..####.##.###.#.....###.#.#.####.####.###.#####.#.###.#..##.###.##.##########.#..#.##.#.#.#.#.####.#..#...#..###.##...#.##...##..##......#...#..#...#.##..#......##..#...#.#####...##....##....##.#.#.#.##..#.#..##.#....###.....##...#.##.#.########.#...###..##.##.##...#.#...#...#.##.#####.#..#....####.####.###.......#.##.##..#.######.###...#..#.....#..####...###...#...#...##.##..#.###.##.###.####.#.##..#.###...#.###...#..#.#.......##.###.#....#.##
..#.#....#.#####.##...###.####..#...#...#.#....###.#..##..#...##.####....###.##..####...#....####.##.#.####.#...##..###.....#..####..#..#...##.....#.##.#.#.##..#.#.#..##.##.##...####.#.......#.###...####..#..##..##.#...######...#..###...##..#.#..#.....#.#....#........##...#.#.##.##..#.#.#..######.#..##...#.##..#.###.#....##..#....#.##.#......#.#..#.###..#..#.##...#.##.#..###..##...#######....#.##.#######.#..###..#.##.....##..#..##....###...###...#.####...##.#.#..#....###.#.####.######.#.#..#.##........#..###...##..###..##...####...##...##.##.#..########...#########...##.##.#.###.#..#.##..#.#####.#..#.#..#.#.#.#.#...##.#..#####.##.#....##.#####...##.##.##.##...#...###.#..##......#.#.##....#..###....#.###.#....#.###.####.#.........###.########....#.#.#....#..#.###.#.#...#.#.#..##...#.#...###.#.#.##...##.#.###.....###.#..#.###..##.##...#.#.#.#....##.##..######.##...###....#.###..####.....##...#.#..###.#.....#...###.#..########.#.#...#....#.....##.....#.##.##...#...#..####....#......#....#..#.###.#..###....##...#.#.###.#.#..#...##..#.##....###..##..#.##...####..##..#...#.#....####.#..#..##.#.##.##.##...##...#......#..###..##..#.#.#...###.#.##..#.#.#.#.###.#.##.....####.###.##.#.##.#.....###......#....#.##.#####.#.....##.#...####..##.#..###..#.##..###.#####.##..#.##..##.##.#.####.###.####.#.#.#...#.####..#####.#...#.####.#.##.###..#.#...#..#..#.####.##..#.##.##....###.##..##..#..#####.####..#.#..##.#.#..#.#.##.#.##..#.#.##.#.#..#.#..#.##..####...##..#..###.....#.#.#..#.#..##.#.#.##.##.#.##...#..#.#..##.#.##..#..#.#..#.###...##..#..##..###....########.###.#...#..#....##.##..#...###.#..##..#.#.######..#....##..#.####.##.###.#....##.##...#.#.##..########.##..#.#.##...###..##...##.###.########....###....#.##.#..###...##.#.#.#..##.#.##...#.#.#.....##..#.#..###..#..####...#.#..###..##.#.##.#..#.#...#.....###.#.#....#.###.###.##..#..#......#...####.####.#..#####.####..####...##.#.###.#########.####..###.##.#..#...#.......#.#.#.##.#.##..#..##....###..#...##.#####......#####.###.
..####.##..#.########..#.##.##...###...#..##.......##...#....##.#......#.###...##.###.#.###.#.########.#..#....#..#...###.##.###..#...##.#..#.#.#..#..#..#....#..######...#..#...########..###.##.#...###.#...#..#..#.#.#..#...####..##.#..#.#.#.##..####.####.####.###.......#...#.###......#....#..#.#..###..####.##.##.#.#..#.###.....#..#.###.#..##.#....#...###....#........#..#..##.#.#.#..#..#.#..#.#..#.#.##...#...###...#......#.##...#.#..#...#..####.#....###.##..####..####....#.....##.##.##...#..#...#.#.#...######.#..##.###..##.##.#.####.....###....##..#.##.##...##...##.#.#.##..#.#.##...#.#...###.###..##.##..###.###.#.#..##..#...#####..#####....#.#....#...###.#####.#.##.###.#.###.....###.##..####.#...#.###.#....##..##.#####.#.#.##..#.#####...###.#####..##..##.##....#.#.##.#..#.#.#.#.##..#..##.###.##..#.#.##.#...##..#.##.##..####..#.....#####..#...##..#...#.#......#..###.###.#.#....#####..##..##.#.####.#.##..##.....###...#.#.##......###....#..####..###.#####....#..##.###..##..##....#..#.##..##..#..##.......###...#..#..####...###.##......#.####..######..###.#.###.##...#.###....#.###.###......##.##..#..#.##..#..#..##.#..##..#.#..#..#.####.#....#.#.###.####..#.#.#.#.#####.#.#..#..#.##.#...##...#...###..####.##..##.###..#..###.####.##.#..##..#.#######.##....######...#..##.#.##.##..#.####.###..#.#..#####.#.....#####..#....##.#.#.##..##..#.###..##..#.#..#.######.##.##...#...##.#.....#.#.####.###..#.#.###.#.##...##..#...#####....#.....#.##...#..#..#..#...#.#....#......#..#.#..#.#.#.#.#....#........##..########..####..###...#####.##.##.#.##...######.#..###.#####..#..###..##.#.#.#...##..#####.#..#..##.##..####.###..#.....#..##.##....#....##.#..####.#.######........##...#.###.##..##.#.##..#..#...#.#..#..#.#.##.#.#....##.##...########....#.#####..###..#####.####..###..#.#.#..#..#.#.###..#.#.#..#...#..#.##.###....#####..##.#..##########..####..#....#.#...##..###......#.#..###...##.##.#.##.#######...##..#.##.###..####.##....#.##.####.##.##.###.#######..##..#.######...###.#.#.#.#.#.#.##
#.##..#.##.#...#..##..##.#..##.####...#.##..#..##....##..#.##.##..######.##.#.##....#..###.#.#.#..#.#######.#..###..##.###..#..##.#..##...#.##....#.######.###...#..#.....###.#...##.##.#..##.#.#.####.#.####.#.#....#.#######.#..#.##.##.###..##.####.###.######.##.##..#.##.##.##.#......#.#.#.###....##..##...#.#..##.#######..#...#.#.###..###.#.....##..#...#.#.#......##..##.####..#..##.###.#....#......#######.#....#...##..##..#....#.#..##....#.##....########..##.....##.##.#.##..##.#...#.#..##..####......#.#.#.###.....#..#..#.###....##..#.......#..####..#.#....#.##.#.#...#.##########.###.#.####...#.....##.##..#.#.#.##.##.#..#...#.#...###.#.##....#.#####.##.#..#.#.#######..#....#.#.#.#.##..###.##..#.#..##.#.#..##...#.###...##...####..##.####....#...#.#.##..##..#.#.###.#.######...#.##.##..##.#..###...#..##..####.##......#.#.......#....#.#.#.#.......#.#.#.##.#.####.##.####.###..#####.#.#...######..##.####..#.####..###.#.#..#.#.###...#.##.#......#...##.#..##.#.#..#.#####...####.....#.#..#....##...#.#..#.....###.##..#.###.##..##...###.##.######.###..#####......#####.##.#.#.#.#...##....#####.......#.#.##.#.#..###...##...###....#.#...##.....####.####.#..##.####.#..###...######.#....#..#...#..........#.##.###..#.#.....###..###.##...##.#.###.##.##.#.###...#####.#.#.#.#..###...#..###.##....##...##.#.##....####.##.....#..##.###.#.##.##.###.#..#....#..#.####..###..##...#..##....##..#.#.....####.##.#...#.##..#.#.#.######.##.#####..#...#....#.#..#.##.####.#.####...##...#######...#.##.##.##..#####...#...##..#####..##.##....#..#..#.####.#...#.#.####.##......##....##..###.#.##....#......##.###.##.......#..#..#...#.####..#..##..#.##......#..##.#..###.###.######.#####.###.##....##.###.#.####.#..#..####.##.###.####....#.##.#.#.##.#..#..###..##...#....##.#...#.....#....#.#.###..#########..#.####.#.#.#.###...##.###...##...##.#.###..########.####.#..#.#.###.##..###..#.#...##..#.###..##..#..#####..##.####....##...#.#.####.##.###..########...###.###.#..#..####..#.####.#.#.#######..###..####.######
..########.#...#.###.##.##.....##.#..##..#...##.##..#..###..##...#.##.####.#..###.#..##..#..###.#.##....##...##.#.##.#####..##..###.###.#..#.#..#.#...##..##...###.#...##..#..####...#.#....#..###.#.###..#..##..###..##.#.##.##...#.####..##.#......###..#....##.......##.#.####.###.....#....###.#..###..#.#.#.####.###.#...#....#..##..#..##...........#.##.#..##.###.###..###..#.#..#...#...#.##.#.####.#.###...##...##..##.###..##.##.##..#.....#...##.#.#....#..#####.#.#.########..###......#..##...#.#.##..####.##...#.#.###.###...###...#####..#.#.###..#..#...###..##.....#..#.#....##.##....#.###.#.##..#...#.##.....##.#...###.#######.#.###..#######.###.#.##..#...#....#..###.###.###.##..#####..#.##...#.##.#.#.#..##.#....##.#.#..#....#.#.#...#...#...####...#..#....###....#.#.##..##....##.#..#..#......###..##.#.#....#.##.##..#..#.#...#####.####.....#.....##.##.....##.#....####.###.##.....###....####.####..#........#.####.#####...#..##.####.##.##.#.#####.###...#...#.##....##..#.#......#.#.#..####.##..##..####..#.#...##..###.##.....#..#.##.#######.##.###.##########.#.#.#..#..#.##.....###...###...#...#.##..#..##.##.###..#.#####.#..###.#...#...##.#..#...##..####...####...#..#.#..#..#...##.##..#.#..#..#####..###..#.#.#.##.#...###.#.#.#...#.#.#.#.#.#...#...#..####.##...####.#.###.##.#.##.####.####..#..#.....#####.###.#.#...##.#.....#.##..####.#.#..####..###...#..#.##..##.###..######.##..#.######.#..##.###.....##.#.#########..#####.###..#.#.##.#....###...#.##..#.#....#...####...#.#.###.##...#..#...##.##.#.###.#.#.......#######.#.####..#.#....####..##.#.#...##..#.##..#.#.####...##...#.#.#####..#...#.##.#.#.##.#.#.##.##....#....#.#.###...#.##.#.##.#.....##..#.###..###.#...#####.#.###.###.###.#.#.#......#.##......###.#.##.##..##..######...####.#....#.....#....#..#..####.##.#..#...#######.#..#..#.........######.#.##.##..#.#.#.....#.####.....#.#..#....##......#..##.#..#.####...###..##.#.#..#####.....##.###....#.#.#..###..#...#...##..##.#.#..##..#.#...######.#..##.#####.#.#...#...#....#.#.#.#.###
#.#.....##.####..##...###..#.###.##..##.#.....#..#..###.......#..##.#.###..##.##..#.##.#.#...###.#.#......#.#.##.#...#..#......#....##.#...##....##.##.######......###....###......##...###..######.#.#.##......######..#....##..##.#...######....##....#...###....###.#...##.#..#.###.###.#.#####.#.#.###.#..#.####...#.....##.....#....##.#..#..##..#.##.......#..#.#.###.#.#.###..###.#.#.######...####..#.##.#...#....#..###..#..#..#.###..#..#.##.##..##..#..#..#.#..###.#..##....#...#..###...######.###..##..#.#..#....####...#.#.......##....#.....###.#....#....#.#..#...##....###..##.#.#.#..#....##..#..##..#...##....##.#.###...######..##.#....#...#...#.##..#..#.##.....#.###.#....##...###.######..###.....#....#......#.##..#...##..##.###......##.#..##.######..#.##..#...####.#.#....##...##....#.#...#..#..#.####.######.#..##.#..#....#..####.##.####.#.....###....######.##.#.#.###.#######.####..##..#.#.####.######...#.....#..##..#..#.#####.###.#.#.....#..#.###.##..#.#.######....#....#.....#..##.##.###.#..#.##.###.#.#...#..###..#..####.#.#....##..#.#..#..####.#...####...#.#.#..#.#.##.##.......##...#..##..#..#####.##.#.###.##..#..###.##.##..####..###....#..#.#..###.#...#.#.#.#.#.##.#.###.####.#..##..#.##.#..##.#.#######..###.###..#.###..#...#####.#.##......######.#.####.#.##...#..##.####.##.##.#.....#.#..#.#.####.###..##.##.#####..##....######..#.#.#..##.##..###..#..###...####.####.###..##.###...##...####.#.##..#.#..#..#.###.##...#.#..###.#.##.#...###..#...#..###.#.##.##.......##.#####.##..#.####.........#...#...#.#..####...#####.#......#.#...###.#.####.##...##.######...#.###...##.##........####........#.#.#.#######.##.##.##...##..#.##..#..##...#....#..#.#...#..#.#...#.....#.........#.#..###.#.#..##.##...#.#.#####.#.#.###.#.#.#..####..###.###..##...........###.#.#.##..#...#.##..##......#####.#....#...##.####..##.#...##..#..##...##.####.#..#........###.#.###.##.#.##..#..###..#.....#..#....##.#.###..##.###...##.#.#...###.####....#.##.......#..#..#.#.#.#.#...##...####.#.##..###.#.##.#..#..#.
.#..#.###.##.#.#####.#..####.###..##.#####.....###.##.#.#.#.##..##.#####.##.#####.#..#..##.....###..##.###..##..##.####.#.###...##..##....##.....#.#.#...##.#...##.#.....##.#..#.....#.#.##..##..##.#####.##..##.#..###.#.####.#...###........##.##.....####..#.#.#....##..####.######.####.##.#.###.#.##.#.#.#.##..#..##....###..##...#.#.###.#...####.####..##.#.....#.###...#.#.##.#.#.#.#.####.#...#...#.#...###.#...#....##.##...#..##....##..###..##.###..##.#...###.#.#..#.#.....#....#..#....##.#######.####.###.##..#..#....#...##.#..####.###.#...###....#####..##..##....#.##.#..###.#..##.##..##.###.#..##...#..#..##..####..#..#..#..##...####....#..#.#...##.....##..###.##.##...####.#######.#####...#..###..#.#...#...###.#.##..#.#####.#...#.###.##.#...#.......#...##....#.#.###.#.###..#.##....#.#..#.##..##...#####.........###.#####...#..#.#.#..#....##.##.#...#######.##.#.#...#...#..#...#...#.#...#.....###.##..#####.###...##...#......##...#..#.#.####.#.####.##.#####.###..#..#.#.......#.#.#.#....##.#####.##.####...#####.####.##...#.#...####..#.#..#.#####...#.#..###.##.#.....#.#########.##.########..###..##.###.#..#.#.##.##..#.#.#####.#####.####.#.#.#....#.#.###...#..##.##..#..#.#.#.######.##....#....#.....#..#.###..#.#..##.....###.##...#.##..#.#..#..####....##.#.#####...####.####..######..##..##.#...#....###.#..#..#..#.......###.#.######.#####.#...##..#.##...#.#####..##...#...###..###.###..#.#.##.##.#..#...##..#.#..#.######.#####...##.##.####..#.#.#####.#..#.##.#..###.#.##.#..#.####.#.....#####..#..#..#####.#.###.#.####.....#...##.##..#..#...#.....##.#.#.#.#.##..#..##..#..#...####..#.#.##.#.......#..######.#......#.#.##..#####.#.#.#.#.#####..#.#......##....##.##...#.##....#.#.#..#.#..#..######.##....#....#...#.#....###.##...#...#.##.##.#..###.....#.##..#.#..##....#.####.###.#.#.###.##.####.#.......##....#..#......#..#..#.####.##..#..####..#.###.#.####..#.#....#.#.##......###..#.#..###.###.##.##...##..#.#...#.#...###.#....#.#...#...####.#..#..#....##.##.....#.##....#.###.######.##.#..#.
#####.#..##..##...####..##.##.#..#.##..##....##.#.#.#.##.###.###...#.###...##...##..##...###.#...###.###....##.###.#........#.#.#..######...#..#....##...#..##...#.##.###..##.###..#..#.....#.#.#.#....#...#..#.#.#....##.#..###.#.##...####.#..#.###.....#..#.#.#.#.....#..#.....#.#.##.##.##..#.#####...#..##..##....###..##....##..#..#.#...#....##..#.#.#.#.####...#....####...#####..#.#..##.#.....#.#..##.##...#####...#.##.#....##....#####.##...#.#..######..###..##......#..##..#..#..#.##.#........##...###..#..##.#.......#..#####.##....#.##.#.##..###.##.......#.##........##.#.....#..##.#.#....##.#.####..####.####.#.###.##...#.#.#...#..##....#..##.#.#.###.###...#######.####....####..#.....#.#..#.######.#...###.#...#..#.#..#..##.###..#.#..#.#..###.##...####.##..#...#.#####.#...#...##.###....#..#.#..#.#..#.####...#.....#.##.##...#.#...###....##.#...####.#..#...###...####....##.####....###.#..#####..#####....##.##.###..##.....#.#.#.##..#.##.##.#.#.#..#.#.#..#...###...###.#..#..#...#.#...###...#..#...##.#..#.##..##.#.#.#..#...#####...#.#####.###....#..##.#.####...#####.##..#####.###...##..##.##..##..##.##.####..#..#.#.#.##..#.##..#.#.##..#.#.##.#..#.####.##..##.....#.##.#.#.#.#..#.....#.####..##.###....##.##.#.#...#..#..##..#..####....#.##.##...#####..#######.##..#.##..#.....#.#.##..##..#..#####...#..##.....##.####.#......#.#....###.###...#.####.##.###.#.#....####.#####...#..###..##...#.#######.#.####...........#..#.###..#####.....#.#.....##.###.#...###..##..##..###.#.###.##.###.#....#.#.#.###.#.#.###..####...###.#.......#.#.##..##...#....#.####.####.#...#####.#.#..##.#..#...##...###..#...##..#....###....#.....##..##.###.#.#.##..##....###..#...###..#.#..######.###.##.##..#.#..#.###########..#.##..#.#...#..######....#...#..####.#.##.....#.#...###.####.###.###..##.##..###.###.#.#.###.#.##..#.#..#....####..#.#.##..##.#..###......###..#.###.##....##.#..#..#......#........#.##.#.#..#.#....#...#..#...##...#...###.###.##..#.#....#.....###..#.#....##.####.##...##..####.#.###.#.##..##.##.#
####..##.#.#.##..##...#.#.###.#..##...######.##.#.####..#.##.#.###..###..#.##.....##.##...#.#.#..#.#.#.##..#.....#..#..##.#....##..######.####..#.#.#.#####..####.#...#...#.#.###..######.#.##....##.###.###..##.##.#.#.####...###..####.##..#####.####...##.#.#.#.#.#.#...####...#.#....#..####.....##.#.###.###..##.#..#.##........#..#.#..#.##...#...#####.##.#####..#..#.#.#.####.###..###.....#...##.#.##.####..#..##..##....#.##...#....###.......#.###.....#...##..#####..###.####..###.#.#.##......######....##....##..#.#.......#.#....#.......#....##.#.#....########..##..#.#.....#.#.######..#.#.####.#.##.##..#..######.#..#.####.###..######.#..##.#......#..###.#...#..#....##....#..#.#.###...##...#..######.##...#.#.#####.####...###.##.....##.####.#####..##...#.......#####..#..####..####..#..##########..###.##..#.#.#..##............#..####.#..#..#.##.##..##....######.###.#....##..####.....###....##........#.#.###.#.#...##..#####..#.#.###.######.####..##.#....###.###..##.##.#.########.#####.#.##..###.#....#.#.######..##.#.#.##...###.#..##...#.#.#.###.###.#.#.#.##.#..##...#.#...#....#.#.####..#..###.#.####.##.#..##.#..####.#..##..#...#....#.##...##.##.##....#.#.....###.###.######.##.###...##.....##.##.#...#..#.#..##.##.....##.##..#..#.##.##..####..#..###.##.##.####...###..#.###...#....#.###.#.##..#.#.#..#.#.###.......##.##.#.#####.###.##.#....#....#.###.##.####.#......###.##.##.##..#...##########.###.##...##..#..####....##..#######.#.###.###......###.#.###.##..#.#.##..#..##.#.##....##...###.##.###.###.#......##...#.##...###.##.####..###.#..##.#.#..#.....##.......##..##.###.###.##..##.####...###.#..#..##.#..#.#.######.#.##.#.....#.##..#..#...#.#..#.#..#.###.#...#.##########.#..##...###.....#.#####.#.#..#..#..##.###.##.#.###.....#.####.##..##.##.####.#.....#.....#..##...###..#...####.##....##.##########..#####.....###.####....#.....########.##.##...#..#.#..##.#.#.#.###.#####.###..###..#.#.###.#...#.#.##..###.#..#.#.##..##.#..#####...#.#.###..#.##.###..##.##.#.##.#.#.#..#..#.#...#..#...
.#...###.#...###..##..###........#.....#...#...#.#.###..#...###.#.#.#####..##.#.##.#..######..#..#...##...#..#.#....#.#######.#...###.#.#..#.##.#..##.##.##.#...#.#..#...#..#.#.#.#....##...##.#...#.##..#...#..#..#..#.#...##.####...#.#####......#####.......###....####......#...##...#..#..####....#.#...#.#.#.##...##.#.#.##.#...#.#.##......###....#..###.#..#...#..#...##...####...#...#.#.#####.##..#...###..#.....#.#..#.###.#.###...#..#.#..##.##...######..####........##..##.###...##.####.....#....##.#.#.....##.##.#.###.#####..##.#..#.##.....#...#...##....#####.##..#.###..#.###..###.#..#####..#....#..##.#..##.#.###..#.#######...#.#..##.#.#######.#..##.#.#...#...#..#.###...##.##.....#.#..#.....#.##..#.####.##.##.#..#..#..#.#.#.#..###.##.#####.#..#..##...##.########...###..#.##.##..##.#.#.#..###..#..#....#..#.#..#.#.#....####.###.....####...#...#.##.#####.#.#..#.#...#.#.#...#.#.#.##.####.#######.#...#.########...####...##.##.#..#...####..#....##.####.###.##....###.####.#...#.##.####.#...#.##..##.#.#..##.#.###......###...#.#####..#.#.#..#..###..#..###.##.#....#####........##......#.#.##.#..#.#..##.....###...##.#.#..#.##..#.#.###.#.#.###.#...#.###.###...#..##.###.#...#.###.#.#...#..##.#.###..#.##..####.#..##...##....####.##.#..#...#####.#.##.#.#...#.##....##....#..##..#..##.#..#.##...###...#.##....##....###.#.#.#....#...#....##...#..####.#..##..###.##.##.##....#.#....##..##.#.#.##..#..#..#.#.##.#.#...#..#...#.###....#.......#....##.######...#.#.##.#.###...#.####.#.###.......####.#.####.##.#...####.....##.......#.#.#..###.########..####.###.#..###......##.###..#......###.#.#..#.##...#......#..#..#.##....##..##.#.......#..#......#..#..#...#...##.######.....##.#.##.###..##....##...#.....##.......###..#....##.#.......#.#.##.###...#.....#.###...###...##..###..#.#.#..##...#.#.######...#.##.##..###.#.#...##....##..#.##..####.#.#.###....#......##.#......#.....#..#####...#..######..#.#..##.#.####.####.##..###.##.###...##.##.####..##....#...#....#.##....####....#...######..#######..####
..###...##..#.#......###....#.....#..##.#..###.##.##.#######..#.#.#####.#..#...#.###.#....######.#.....#..#.###.###..#.#..#####..#####...#...#..#...##..#........##.#.###...###..######.##.##.#..#.#...##.##......##.##.###.###.#.#.###.....##.#..##..#.....##....#....#.#.#..#...##.##....####.##....##.##..##....##...##......#..###.....###.#..##########.#.#.#...#####..#..#.###..##.##..#.#...##..####..###.....#..###......####...##.#....#####.###..#.##...##.....#....##...##.#.#.###..#.#...###...#.#.###.....#.######..####..#..#..##....##.###..###.#..#..#...##.#..##..###...##.#..#...#......#.#.#.#.#..##.###.#####....##........######..##...##..##....#....#.##.##...#...##.###.###.#..###..#.#.###....###..#..###...###..###.#...#.#.##...##.#..###...####.##.###.###.#####.##.####...###...#......###..##.#####...#.....#....#....#...#####..##.##.#..##...#..###...##.#.#.####..######....#.#.#..#..#...###......##.#######.#.##.######.###...#....#..#..###..##..###...#.#.#..#..#...###.###..#..#####...#.##..#.####..#.#...####.##..##.#.#..###.###..#..##..#......#....#.#..#.##.#......#.#....#...###..####......#.##.###.#......###.#####..#....#.##.#.###...#..##..#...#...##.###.##.##.....#..#....##...###...#######.#.##.#....#####.#......#..#####...#.#.###...#.#.#.#...#....#.#..####..#.#.#....#..##.#.#..###.#..#..##....#.##.###.##...#.##.....####.##...##.##.###....#..###..#....#....##..#..#.#.####.####...#.#.#..#.##.#.####.##.###..###..#.###.#.###..#.##...###....##.#..####.##...##..#...####..##.####.###.#.##.#...##...###.#.#.##.#.##.#..#.###.#....#.....##..#.##.#.##...#..####.#############.###..#.#.#.##.......#....#...#.##.##.#........#.##...##..##.##...##...##.###....#.####..##..#####.###..###..#..#########..#..##.##..#..#.....#..##.###....####...###.#...#.#.#####.##.#....#..##.##..##...##.##.#...##.#..#...#.#.##...#..#..#........#..##.#.##.##..#.###.##....#.#........###...#.....#.##.....#.#.###...##.#..#.#.##.##....#..#.##.#.#...##..##..#..#.####..#...........#####.##...###.#..##.##.##......####..
####..#.......######.......#..#.####...........###.######...#.#.##.#.....#..#.###...##.#....##..#####.#..#...#..#..#.#..##.##..####.....###.########...##.##..##..#....##.#.###.#.#..#........#..###..#..##..#.##...##..#.#...##.#####.#.#.#####.#....##..#.####.#..###..#..##.#..#...##.####..##.....##..##..#.#..##.##....##.##.##.#.###..#.####...#..####.##..##.###.##.#...#.##.#.##..#.#.##..####...#..##.#.###.##..##..#..#.###.##..#.##.###..##..#..#.#...#....####.#...##.#....###....##..#.#...##.##..##.#.#....##.#..#.#...####.#...#..#..######..###....##.#...##.####.##..#.##.#.#..#######....#..#.#..###..##....#.####.#...##..#...#.##.#...#.####.##.##..#..#####....#######.#####...##.###..#.#.#.####...##.#....##.#.#..#...#...#.#...#.##....##..#.##...#.#####.##..####....#.#.#..##.#.#.#.#..#..##....#.#...##.....#####..##..###.#####..#..##.#.######....##.#...##.#..#.###.#....###...#..#.##.####.#..#....#.#..######.####....#..#..#####.#...##..##.###.##..###...###..###..#......#....####.###.#.#....#.#...#.###.##.......#....#.#..###.....#..###......#..#.#...##.##.#.#...###.#.#..##.######.#.#.#..##.##.##..#.##.#.#.#..#.#.#..#...#.##.###.#.###.##.##....#.#.##.#..###....#......#..##.###.#.###.###.##...####.#..#...#....#.#..#.#..#...##.##.#....###....#..#..###.#.#.#.#....#...###....#.###...#####.#...##....###..#.###..#....#....##...#...##.#.#...####.#.....###.......##..#..##..##...##....##.##..##..#....###....#.#.##.#..#...#.##.#.####.#..##..####.#.#..##...##.##..#..####.#.##.#.....#.##..##.....#...##..##.##..##....#.##..###.##.#..#.#.#######...###.####.#.#.###..#####......#.###.#.###...##.###....#.##.##..##.#####.#.##.############...###.###..######.##..#....#.#....##.####..#...##.##....##..#.#...#.#...###...#...#.....######.#...####....#..#.#.##.#......#.##.#.##....#...##.#.#...#..#.####.####..##.#.##.##.#......#######..#.####....#.....##..#..#.#..###.######..#.#.##.#.##.##.#.###...#..##..#.#########..#..#####..#.#.######..#...#.##..##..#.#.#....#....##.####...####..#.####.#....#.##...##.#
..#..#......#####....#.###...##.#.####..#####..##.###..##..###..#.#.#...#.#.#.#.####.#.#####...#.##.######.....#.##.#...#..#.##.####.#.#....#.#####.....#.##..#..###.#.#.....#####.#####.##..#########...#.#.##...#..#.#..#.####.##.....#.##.#......#...#..##..##.##..######....#..#..####........#.#..#.##.##.####.####.#..#...#.##....#####..#.###.###.....##.#.#.#....#..##...#.##.#.##....##......#####.##.###.#...###..............##..##.#.#..##.###.###.#...#.##.#..#..#.#.#####..#..#..##.#...#..#..#.##.#.#....####..##.#.##.#.#.#....####........#.##.###...#............#.##.###......#.###...##.#......###...#....#.....##...##########..##....###..#####.##..###...#..#.#.####..##...#.##..#..####.##....###..##.#.#####...###...#.#.#.#..##..#..###.#.#.#.###.......#.#....###...##.#####.......###..#####...###..#.##..#.#..##...##..####.#.##........#.####.#####.#.##..###....#..##.#####....###.##.#.#####.#####.#...###.......#.#.##..#...#.#.##...#.#.#.###.......##..#...###.#...####.#..#.#.###........#####.#.#..##.#.####.#..###..#..#..#..##......#.##..####...#####..##.###....#.#.....#..#..#.##....###....#...#..#.#...#....##.##########..#.#..##..###.##....##..##.....#....###.###.##..#..##.#..#.#.##...###.##.#.#.#.######.#.###.##...#....#..#....#.....#..#....#.##..#..#..#..#.#####.#####...#.#####......#.##..###.#.##...##.#..##.####.#.####.#.......###.#...##.#.#.#.#.###....#.#.##....####.###.####.##.#..#####.#.##.#....####.##.######..##.####.##.#..#.#...###.##.#.##..###...#.##...#.#...####.#.#.#.#.#.##.#...#...####.##.####....###..#.##.....##..###..#.##.#..##.##.#..##.#.#######.#....#.#.##....#..##.####......######..#....#....####..###..#######.#.#.##.####..####...#.##...#..###.#..#..##........#.#.####..#.####..##.####...###.###....#...##...#.#.#..####.##.####.....#...####..##....#####.#.####..#...#.#....####.#...#..####.#.#.###..#...##....#.####.###.#.#.##.#.#.#.###.#######...####.##.####.####......#..#...#..#.##..##.##....##.#.##...##.###...#...#..#.......#..###.###.####.####...###.##.......##
#...#.##.###.#.#.#..#....#.######.#..#...####.###.#...#..######..##..#.#####...####...###..#.##.#.##.......##..###.#####.#.####.#.##....####..#.#......##..#..###...##.##.###..###..##.#.#.#..#.####.#.#.#...#...###..###...#.##.#.###.##.###..#####..##...#...###.###.##....#..###.#.#.#.###.######.###.#..###..#..#...#.#...#.####...###..##..#.#....##.....##....##..####.#.#..........##.###.#####....##...###...#.########.########.######.####...#......####.#....#...#....#.#..#.##...#.##....#.#..#.#..#..#.####.....###..####..#...#...#...#.....##.#####....#..###..#..#...#####.#.....####..##..###...#.#...##.###....#..#.#########...##.#..##.#.#....#..##.#..#.#.##.#.###.#.#..##....#.####.#.#....#.#.#..##.#....#####.#.###..###.##.....#..#....######...#.#..#.##....##.##.##.##...#.##..#.#.####.##.#...#####..#..#.#....##.#.#.###.###.#...#.###....#####.#####.#####..###.##.#.###...#####.#..#####.....##..####.#....##.####...#....#.#..#.....###..###.#..##...#..#.....##..##.###.##.##...###.#..##.#.#..####.#..#.#####...###.##.##.#...#.#.##....#.#.####...#....###..#####...#.#.#......#.#..#.###.###..######....#.##.####.##...#..###.......##.#....#..##..#####.####.#####.####.#.###.#.#######.##..#.##.#.######..#######.....###.#....#.#.#.###..#.#.#.#...##.#....#.##..#.#..#.###.#.#..##....##.#..#####...####...#..##.#.#.....#..##.....####.#..##.#.####.#....###..#....##...##..#..#....##.##.##.#...#.#...#.####.####..#.#...##.###.########.####.###..##.#..#.##.#..###.#.##.###..#.#.##...#.##.#...#.##.##..###.....#.#.......##.#.###.#.........#...#.####.#..#....###.##..##.#.##.##.#.#..#.....##..##..######.#...###..####.#..#.###.#.##..#.###.#...#....#.#.###..####.######.#####.##.#.#..#...#......#.##........#.#..#...##..#.#.#.#.#.#.#....#....##.###.....##.#####..##..##..########.###.####.####..####....#..#...##..#.#####.#...#.###.#.#..######..#..##.#.#..##...####.##.##.#...##...#..###.###.#....#..###..#..#.##.#.#.##.#..##.##.###.#....#....##.##.####..##.###.#.#....#....#.#..##.#.###.#..#..####..#..#.#...##.
#.####...###.#####.##..##....#.#..#....#.#.##.#..#....#....##...#.##..#...####.###.#.#.##..##......#.......#.#..##.##.#.#.#.##.##..##.#.###..###.#.....##.#.#.#.#..#...#.....######.#####..#...#.....#..#.##.###...#..#.###.##..##.#.##.####.....#..##.....##.######....#...##.###.#..#..##..##.#####.#.#.####..##......#.##.##..###.##...###.#....#...#.#..##.#.###...#.##.....###.##.##.#..###..#........######..#.#.......#..#...#.##.###.###.##......###.#..#..#.###.#####.##.#.##.####..#..###.#.#####.#.###.##.#.##.#...###..#....#.#######....###.####.####...####.....#...#.#.###.........#..##.#.......#.#####.####.#.#.#.##.#.#.###.....#..###...#.#.###.#.#.#.#.#.#..#..#..###....##.....#.######.#..##....#..#..#.##....##..##....#..#..##..##.###.##..###.##..########..##.#.#..#.#..##...#.#..#.#.#.##.##.#..####..#..#.#......#..###.##....#..#####..#..##.##.#####.##..##....#.#.###.#.#.#####.....#..#####.###.##.#.#.#.###....#.#..##.#...#.##..##.#...##..#.#.###..###.##.....#.###...#.....###.##...##....#...##.##.........#..####.#......####..###.#.#.#....###.....##.####.##.#....#.##.#.####.##..#.#....##.##.#.#.#.##.#.###.###..#...#.#....#....###.#.##...##.##.###.#..#.#.#...##.########.#.####.#.#..##.#...#.####...#####.##..#.#.#####.##..###..##.###..##...#.####...####..##.....###......#..###.#..###.####.##..##..##...##..##.##.##..###...###..#..##..###..######.....#.##..##.#..######..####.##.#...#..#..###...#.#..##.####.##.###..#....##..#.###.##...#.####.#..#..###.#.......#..#.##..####.#..###.##.......##.##......##....##...##..######.##..#..##.###...#.#.##..##.#...##...##.#....##.#.###..###.#.###..#.##.#.##...#####.#...#..###.##..##.#....#####.#..####..#.#..#.#....#.###.#.#.##.#.#.#.#.#...#.####.#.#..###....###.#.###..#.##....#..#....##.....##..#...#..#..#.#..#.........##.###..##.#..###...#..#.#.#...#.##.#.....##.#..###..#.#####...####..#.#...###..#.#..##.##.#..##...###.#....#..##.#.##......#.##.##.##.#.#.#..#..###....##...##....#.##.##.#...#.####.##..###.#...#.##.#.#.#.#..#....#####.#####.#.#.##
###.#...##..##.###.#..#......###.#..#.#...#....###..#.#..#...#.###.#.#...#.#.#..#######..###.#...##..#.#.#....#.#.#.############..#.#.#..#.#.#...###..##.......#...###.##...######..##.#.#...##...#####.#.#..#.###..#.#.#..#.##..##.....#..#..##...#.##..#..#..#####..##.#..#####..####....#.....##..##.##..###.##....#.#..##..#...#..####.#...##..#..##..#...####.#.##.###....#....#..##.##..#..#.#.........##..#.###.#...##.#...#..#..##..##..###.#.####.##..###.#...#..#.#..#.####.###...###..###.##..###.##.######..##.###..#...##.#######..###.#.##.#.#.#.#.......###.#..#.#..#.#...####..#..##.#.###.##.##.##....#..#.#..#.........#...##..##....####...##.###..#.#.###...##..#.##..#....#.###...##...#..########....####.##.#..#...#.###.#.#.#..#...##.#.#...##.##..##.####..#.##.##..#...##.##....#.#..##.#####....#.##..#...#.###.######.####.#.#..##..#.#...###..#..####.##.#...##.#....#....###...#...#..#..####.#....#.#.#.##...###.#..#..#.####..#.##..#.####..##.##....#..##.#.####...##..#..#...##...#...#......#.......###.#.#.#.##.##.#..###.....#...##..####...#.....###...#..##.#####..#......###....##.#...#.....#####..#.#.##..###.#..#.#..#...###..##...####....#.########.#.###....#.##.##..####......#...###.##.#.....#.....#...#.##...##.#......#.#.#...###.##.##..#..#.###...#..##...##.##.###.#...##.###.#....###.####..##..###...###.####.##.###.#####..##.##..#####.##..##.#...#.##.......##.###.#..####.#..##.##......##.....##....#....##.#####..#.#..#.####......####..#.####.#.#.#..#.#.#.#.###.#..#.#..#...#.#...##.....#.#....#...###...##..##.#.#....#.#..##.#..#..##....#..#.###..#....###....##...####.#..#..#.#......#.#...#...#####....##..####...#.##..###.#..##....#.###..##.#.#.#...#..#..####...####.##....#...#..#.#.####..##..##...###.##..####..#.#..#...#####.#.#..###.####..##..##...#...###.....#..#.#.#.....######.#..###.#.##..##...#......#.##.#...#..####.#.##.###..#####..#...##..#..#.#.##.#....###.#...#.####..##.####...##..#.#####..#.##..##.#..#..#.#..#.#.....#.###.###.##..#.#..##.###..#####..#.##.#...#...#.##.#
#.####.#.#...####...#.######.#....#.#.....#..#####.####.#.########.#.#.#..##.#.##...#.....##.####..#..#..##....###..###...##.##.##..##.####.#.....#...######.##.....#..##..#...####.#..#.#.###.#.#..###..##...##..#.....##..######..##........#.#...#.##.#......##.#...#.#.######.#..#.#....######...#.#.#..#.####.#..####.#.###.###..###.#....#.##...#.###############.#..#.##....####..#..#..#.#...#######...###.#.##..#.........##..#####..######....#..######.#....#...#.#.....##.##....#....#...##.#..##.....###..#.#.....###.#.#..##..##.##.####..##.###..###.##....##...##..#.####....###.#...###.###..#..#.#.##.#.#..##.#.#.#...##....#.#.###...#...#.#.##..##.#.##.#.###.##.#####.##.####...#.###.#.#......#.###..##..#.##...#.....##.#...###.###..#.##..#.##.#.#####.#...#.###.#..##..#.#....##.#....#....#...#........##.#.###..#####...#.....##..###.#.#.##...#..##.#..#....#.##..##.#....#.#.##.###.#.....##.#####.####.##...##.###.##.####...#.....##..###....#...#.#.##.#.#.###.######.........#.#.####..##.#....###...#......#.###..###..##.#...####.#.#.#....#....##..#.##.##..#######....##..#..##...##..##.##.###.#####.##.#.....#..###..###.#.##...#.#.#.###...##.##.#.##.#.#..#####...######..#.##..#.##.....#.#.#######..##...#.#..#.#####..##.##.###.....####.#.#.#..#..#.#..#....#..##.....####..##.##.#.###..##...#...#.#...####..#..........##.#.#...#...##.....#.######.#.#.#..#.#...#....#.##.##.#.###############.###......#..####.#....#..##....##.#.#.##.#.##.#.##.##..#.#.#.###.##...#####.###...#.......####.##....#####.##.###.#.##.#..#.###.#.#..##....###.....#....#..##....#...##..##.#.#.###.#...###...#.....####.##..#...#.#....#.###.#..#..###....#.#.##...#.....#.##.#####.##.....#...#.#...#.#######.#..##.#...#...#..#...#.#....########....#..##.######..#...##.##.#.###.......####.###.#.##.....#.##..#..##....##.####....#....#.#.#.#.##.#..##.....###.....##.#.#.#...#.##.#####.#.#.##..######.######.##.#.###....#....#.####..#.##..#.##.#######.#...#..#.....#.#.###..#####..##.#######..##..##..#....#..#.##...#...##..#.##..#
..###..####.#..#..#..#.#.####.#.#.........#.###.#.##....####..#..#.######.....#...###.###.###.#.#.##.#...#.#..##.#.#.#......#.#.####.####.##.......###.#.##.#.#.....##..#.##...#.##...#.###......###.#####.#######.##.....#.#....########.##..##.####.#...####....#.#...#.##.###.##.#######.#####.....####.####...#..#.###.##.#..##.##############..###.#.#.#..###.#..#.#.#...#.....##.#..######....#...####..###..####.#.....###.#######.#.##..####.#.#...###.#....##...####.##.####..#...###..##.....#..####.####..#.###.###..###...##..#...###.#.#..##.##.####...#####.....#.#.##.#.#.##.#......###.........##.#........###...##.####.#.#..#.#...#..#.#....#####..#...#.#.#..##.##.#...###.#.#.#..##..#....#..##.#.##...#..###..###......##..#.####...##...#.##.#.#....#..#..##...##.#.#####.##..##.#.....######.##....#.#.#..#......#....#.....#..#..##...####.#.##..#...##....#..####.####.###.###...##########...#..#........#.#..##..#####....#......####..#.####.##...##.#.#...##..#.#.#.#######.....#.##.#.##.#.#...######...#..##...#.....##...#..#.#.##.#.######....#........###..#...#.#.#.#.#...#..####....##..#.###.#.#..##..###..#.##...######.#..#.#####.##.#...##....#.#...#.#..##.....####.....#...###...#.#.##..###....#....#.##..#.#.####.....##.#.##.##.##...###......####.#.....#.#.....#..##...###.##.#...#.##.###.#.#.......###.#.###..#...#.#...##.##.###.###..##..####.#..#.#.##.##.####.#.#####..#.###....#....##.#.#.#####.#...#####.##..#.....#..#####.##.#.###.#.####..#.#..#..#.##.##.#...####.##..##.#.###..##.#.#......#.##.#..####.######..#...##...#..###..#.#.#.....#......#....##.#.#..##.#..#..#.###.###..#..#.#..#.####.###...##...#..#..#####.####.....#...##..#####..#.#.#..##..###.##..#.....#.##.###.....#.....#..#..#.####...###..#...##.....#.######.#....#..##.##...###..#.##.##.#..#..###..#.#...#########..#..###..#.#...#.#.#.#.####.######.###.####.#...#....###.#..####.#.#.##.##....#...#####.#..##.#...#...#.#.#.#.#.##...###.#.#..#.#...#..##.###....###..#.##.#.#...##.##....##...#.#.#.#.##.##.#..#..#....#######...##..
###..#.#..##..##.#####..###....#.#....###.#.##....#.#..###..##..#.##...####.#.#####...##....#..#.##...#....###.#..#......##..#..#.#..#.#.###.#..##...#.##.#####.#...##.##...###.###..##.##.#.##.##.#..#...###.###..##.#........#..##.#.###..####.#.#..#..##.##.##.#..#.##....###..#.......#.#.#...#....#.....##.####.####..#.#.#...###.#.##.#..#...#.#.##.###....#.........##....#..#..#..####.#..#.......###.....#.###.#.#.#..##.#..#.##...########...#.#.#.#...#..##..#####..####.#.##.##......##.....#...###.#.#.#.#.###.#....###......#.#..##.#..##....###....#####.#.#.#.####..###..###...######..#..##.##..#..#.#.#..###......###.#.##.##..#..#.######.##.###...##.##.##.###...#.###..##..##..#.##.###.#..####.###..###...#.#.##....#..##.####...##.....#....#...#.#####..##.##...#.#...##.###..#.#...#...#..#.#..##.#....####.#.#.#...####..##.#########..#.##.#.#####.#####....####.##...##..#.###.##..#####..###.#.#.#####.....#..#####...##...#.....#.#.##########...#...####..##...#..#..#.#..#.#.##.##.##.##.###..#...####..###.###..######.#..##...#.#......###..#.###.#.##.###.#####.#.##...#..#.......####.#####.#.....#..####..###.####.#..###....#...##...#.##.##.#.#.#..##.#.#....#.....###..#.#...##..####.###...###.##...##..#..##....#.##...#.#.#...##.#####...##...####..#.##..#.#.....####.###.#...##..#...#...#...#.#..#..#.####......#...###.....#...#....#..#.#.#.##..#..#..#....#.#.####.##..#.##..##.##.##....###.#######.##.##.##...##.#.##.#..######..#........##..#...#..#.#.#.#..##.####....#.......##.#.#...#.##.#..###.#.......###..#..#.#.##....###..##...#.##.#....####.###...#..##.##...#...#....##.#..#.#.##.##...##..#..#..###.#.#...#...#.#.#.#..###..###....##..##....##.#.#.###..#.#.#..##.#.##...#...##.....#.#.#...##........####..#.....#...##..#...#...#.#.#..##.#.#..#..#...########..##..##..#####.###.#.##.#...######.#.#.#.#.##.#.#.#..#.####.#.#####.....#...##.#.##..#.##...#....####..#.....#...#.#.######....#.....#.#...#....#######...##.#..##.#..#####.##..###.##.#....#.##..#.....##.##..#...#.##..#.##.###.###.##.#.#
.#.#...#..#.#...##.#.#......#.#..#..#.#...#.#.#.#.#.##.####..##...####....##..####.#.##....#.#.###.##..###......#.###..#..##.###..#.##..##.....#.....#.#..##..##.#..##.##.#.###.#.####.###.##...#.#..###..#...##.#.#.###...####...##..#.#..#.####.#..##.#.#.#...##.#..#.......###.###..####.#.#...##...#...##.....#.#....#..##.###.....#.##.#.#....#......#..#.###.#...####.##...#........#..###.#..#..##.##...#.####.#.#....#...#...#.#.....#.#...#..#.###...#.#.###.##.#....###..##.......#....#.#.#.#...####.##.##..##..##.#..#.#.#..##.###..#####.#....#.#..#.#.....###..##.#.#..#.##.#..#.#####.#.....###...#.#.#.###..####.####.##.#.#..##...#####..#..###.####.###..#.#.#....#.##..#..###.#####.#.###.###..##....#.....####..##.##.##.#########.###..####...#####..####..#.#.#######...##.#.#....###..#####.####.##.##.#..#..#.#..#.#..####..#####...#...##.#...##.#.##.....###.##......#.####.#####.##.###.##..#####...##.#.##.###.#.....#..###..#.##...#......####..####.###.....#......#.#..#....#....##.###..##.###...##.....###.......##.#.#.#..###...####....###.#.#########....##..#.##.##.###.#....#..#....#...#.#.##..#...#####.##.#.####....###.#.#...##.#..#..###.##.#.########...#.###......#...#..##########.####...##.#.#..#..#..##.##.#######....#.#.##...#.#.##..#####....###..#.##.######.#...##.#.##..###.####..##..####.....##..##...##...#...##..#.###...#....##.##....####.#.....#..#.####..#.#.#...#.#....##..#.###.#.#..###..##.##..#...#..##..###..#.#....#..#.#.##..#.###.#.#.#.....##...#..#.#...#...#.####.##.#.##.#####..##....##......#####...##...#..#.####.#.########.......#####..#####..#...##.##...##.#.#.#.....#.#.####..#...#.#..#.######....##...#...######.#....###.#.#..#####...###.#..##.#...#...########.......#.####.#.##.#.####.#....#.##.##.###.##...#..###..##...#.#..#######.###.#.###.###.##.###.#.#..#...##...#.#..#......###.#..#.#.##...###..####..####..#.....#.#..####.##.#..#...#.##...###..###.#...##....#.##..#.##.#....#.#.....#..###......####.#...#.......#.##..#####.###..#...###....####......##........####.
###..##..##..##..#.#.##.....#..##..##.##.##..#..#.###.#.#.######.#.###..##.#..##..#..###..##..#.#.##...#.###.#.#.#..#.##...#..##.#.##..#.##.#..##.....####.#####.####..#.....#####...#..######.#.#...#..##...#.#..###.#..#...#####...######.......##..#..#######...#.#.....#.##.#....#.#..####.#.###...###..#.#..####.#.#.##.#.##.#..#.#.#.#.#..##.#.#.###..##..#..#.#.#.##.###....#...###.###.####...#..#.#..##...#.###.##..#.##.##...#####...#...#####..#..#.#.#.###.##.##..###..#...#.#..#...#...#..##.#..###......####.....#..#.#####...#.#.######.##.#.###.#.#####.###..#.#....#..####.###.#...#.#..#.......##.###.###.#..#.#.######.#.....#####..####.#.###.####.###..##.##...######.##...###.##.....##..#..##....#...##....###..####..#.#.#.##...#.##.#...#...#.##......###..###.#.#.....#.##.##..#...###.##.#....##.#.#......###..#.#.#.#.#.#.##...##.####....##...#.####.#...#.#......####.#.##.###.###.###.###.#####..####.#######.#.####.#.##.##....####.##....#....########.#####.#..#..#.#.###...###.#####.##......#......#.#.###..###..#..##...#####..###.#...#.#...#....##.#..##..#...########..##...#####.##.###.#..#####....####..#..##..#####.##.####..#####....#.#.###.....##.##...##.#.#...#...##...##..#..#.###...#.###.#.##.#####..###..#.##.###....##..#.#.###...###.#.#.##.##.##.##.#...#....##....#....#####.####.#####...#.#.....##.###....###.#...##..###..#.####....#...#...#.#.##..#.#.#..##..#..#...#..##....#..##..###...#..#.#...#...##.#.###.#.#.##...#.....#.#........###..##.##.#..#.###.##.###....#.#..#.##......##....#.####..#..#.#...#.#..#..#.#.##..#...##...##.###.####.#..#....#.##.#.####..#.#.##.####.###...##..#.######..#..#.####...###.#...##....#..##.#....#..#.##..###...#.###..##.#..#...##..#.###..#.###..####....###.###...##.#####...###.#####...#..#####...#.###..#.....#...###.##.##.#..##.#...##.###.##.##.....####.#.####.##....#..##...##.#.#...##.##..#.##.#....#.#..#.....#..#####...###.#.##.#.#.#....###.#...#.....#......##.#####.###..#.####...#.#...####..######..#.##.#.#..#.##.#.##..#..#...#.#.##.#.#####.#.
.#..#..####..###.#.##.#......#.#...###.#.##.#..##...##.....#.....##.#..####...##..##..##....###....#..##.#..#.#.##..#.####..#.##..#...#.#####...#.####.#....##.#.....#.######.#...#.##..#.....####..#.#.....###.#.....#.#.#######....#..##.#..#.#####..###..#.#.##.#.##...##.##...#..#.###...##....#.##...#.#..#.#####.#.#...##..#.##.#.#.#..##.#.#.#...#..##.##..###......#.#.#.##.#.####..##....##.###.######..#..#.#.#...#.########..##...#..#.##...####...##.##..###..#.#.#..##......#.#.###..##.#..#..#.####.....#..#.#.##.#....#..####.#...#.####..#.#..#....#.#...####.#...##.##...##..#.#.#.#.#..#.#.######....#.#..#.#....#...###...##.#.###.#..#.......#.....###...###.##..#.......###...#####.#.#.##.#.#.#.#.....##..###.#..####.#..##.#.##.#.###.###.##.##.#..#.#.##.#..#....#.####.#.#...##.##.###.##.#.###..#.##.##.....#.#..##.#...##...###...#..#.#...##.########.##...##.#..###..#.###.#####.###....#..##...#.##.##..#..#.##..#.#.#.#......####.#..#..#..###..###..#...#...#.....#...#.###...#####.#....###.....##.#.#.#.##.##.#...##.###.##......#..##.###.....#...###.#...#......#.....#.#..#.###.#..#..#.#.###########.##.#.#..#.#..###..#.#..###.#.#.#.#.##.#...#...#.#...#.####..##..###..#....##......###..#..#...#.###....##.####.#..##.##...#...#..##.##..#.####..#..###...#..####...##.#...#..#.#..#..##..##...#######.....#####..###.##.#.##.#..#.#.#....#.#..####.#.##.##.#.....##.#...#..#..#..#.#.##..#.#.###.....#.###.#.##.#.##.#...#.#.#.#.##...####.....#.#......#...####..#..####...####...#.....######.##.##.#.#...#.##.##..###.......#.###.####.#..#....#.#..#..........##.#...#.##..##..#.###.#.#...###.####..#..###..#.###.###..##.#..##..##.#####.##.#...#.#......####.#.##..######....#..##....#..#..#.##.#.###..#...##...#.#.##..#.#..#...#.#....#####.#.#..#.####.####.#.#.##...##.#.###...##.......#.#.######.#.###...#..###.#..##...#..#.##.###.....#.##...#.#..####.#...#.#...#.#.####...####.##.#..##.#..#..#..#.#.#....#####.#.#..#.#...#.###..#.#..##.#.#...#.#.#.#.#.#.######.#..###..#.####.#.##..#..##.##.#...#.....##....##
##..#.#.#.#..###..#..#..#..###.....##.###.#....##.##.####.#.##.#.....####..#.##.#...#..#####.##...##.#...#...#.##...#..#.##.#.#.#.###.#..##.#.###.......#.#..##..###.....###..##.###.####.#.#..###..#.....#...#....##....###.#.#..##.###.#.##.#.#....##.##....##..#..##..#..#.##....###.##########..###.##.......###...##..#..#.#.####....#####.#####.#######.##..........#.##.##.##.#..#.###......#..##..#.#.##......##.###.#.###.#....##..####....#......##..##.##..##.##.##..######.#..#..###..###..##.###.#.#.###..#...###...#.###.#.###.##.##..#..##...######.####.#.####..####.##..#...#..#.#.#...##.##.##...#.#...#.#.###.##......#.#....##.....#####.#.###...#.#......#.####.##.#..#..#####.####.####.#..##.####....######..##.#...###...#.#..##.##.##..#..######...#......#....##...###..####.##.#.##...###.#.#.#..##....#...######..##...#.....##..#..##.#.####..###.#.#...###.###....##.###..#...##..#.###...##.#.#..##..##.#..#.##.#.###.#..#.#.#....#..#.##..##..#.#...##.#.#####..#.#...##..#...#...###...#......#...#####...#...###.#..#.#..#....######.###.##..#.##.#.#.#.###.#.#####..#..##.#.####....###.#..##.#....#.#..###.#....#...#...#.#...#.#.##.#.#.####.#.#.#.#.##.###.#.##..###..##.#..###.#.#.#.##..#..##.##.....##.#..#....#.#...####.#.###..#.##.####...#.###.#.#..#.#.##..#...#####.#......#.#####.##..##.#..##.#########....###.#####.####..#......###....##..#.##..#...##.##.#.#.##..###.#..#####......#....##.##.###.##...###.######.##.#...###....##.###.#####.##.#....#..#....#.#.####.##.#...#.#...##..#...###.##...#......##..#.#...###....#.#.###..##...###..#....#.#..#..###.#####.###..#..##.....#.###.#.........##..#..###....#.#..####..###..#.##..##..##.#..#..##.#..#.#.###.###..##.##..#..###.#......#....#.##.##..##.#.#..#..#.##......###.###.###.##.#.#.##....#..#.#.....##......#.##....#...#.#.......##......#..##..##...##.#..#.#.##..##..##.#........##....#.....#..#.#..#..#...###.#...#......##.#######.#..#.##.#.##...#.....##.####.....#####.####..##.#.#.##...##.###....#######.##.#######.##.#.###....##.#..#..#..##.
..##.#..###.#...#.###..###..#......#.#.#.#######..###.###.........#.#..#..#....#.###.#......#.##.###.#....#.##.#.###....###.#..#.##.#..#.#......###..#####...#...####..#....#####..###.##.#..#.#.....#......###....##..##.###.......##..#..##.#...#...#.###....###..#.#.#######......##......#....#..#..#..#...#.#..##.##....##...##..#.##....##..###.....#..##.##.#..###.###....##.##.#.##...#..#.#.#.#..########.###..##.#...#.#.##.#...#.#.#..#....###.#.##.##.#.#.#....#.#####.#..#...#.#...###.##.#.....####..##..#......#.####..####.###..#.#..#.#..#....#.#########.###..##..##.#..###..#..##.##.##....###.#...###..#......###.###..##.....#.#.#.####.#..###......##.#....#....#...####.###...###..#####.###..#.##.#####.#..##...###...#...#........##.....##................##..#.###.#..##.##.##...#..#####.#...##....##...##.#####..##.####...#####...##....###..##....#.#.#.#.###..#.####..###..#..###.##.#.....###.#.###...#####...#...#..##.##.##.#.#.#.......#..##.##.....#.##...##.##..#...####.#.....####.####.#...##...#..#########...##.#.#.....#..#.###.###..#..#.##.#######.....##.#.#..##.###....##..#.##.##..#.###.##..#.#####.#....#.......#.##.#.#.#####.#..##..#...#.###..##..##.#..#...###.#..#.###.#.##.#..#..##.#####....##..###.#....#.##.#.....##.#...###.##.##.###..........#..#.##.##.....##.#####..###...#..#####..#.#.....###.##...##..###..#.####.#.###....###....###..##.#....###.#..#.#.##...#..##.#.#.....##.#.###.#.#...####.##..###..#..#.###..#####..##.#..#####.###...#..#.#.#..#.##..######..##...###.#.########........##...###.#.#.###.#..############.####...##...###..#...#.####.#.###....#.#...#.....####.#..#####....####.####.#.#.#..#.#.#..#..#.#...#.###..##.#.##...#..#...#..#..#.######.###..#.....###..##.........#..####..#..#...#..#.#.###.#.###.#.###..#..#.####.##..#..#.#..#..##......#######.####..#...#..##.###....###.##..#.#..####..#.##...##.#####...##...##.#####.#...#..#..##.##...#.#..##.#####.###..#.##.#.#..#...#....##.##.#####.###..##.######...#.###...#....##..###..####....#..##....#.###...#...#.#.
....####.##.#....#..#..#.#...##.#..##..####...#####..####...#...#.#......#.....#.##..####.#####...#..##.......##....#.##..#..#.##.#.#...#....##.#.#.#..####..#..#..#.#.##...#...#.####...#..##....###.#####.....#.##.###.#.#..####.#.##.#...#.####.###.##.##.##...#..##...#.....#..#.#.#...#.#..#..#.######.#####..###.##.#.######..#..###.##.###.....#.#...#.......#..##..##.##.#######...###..####...###.##...#.#.#.#.####....###.##.#.#.#####.#.#.##.....#..###..#.#.#..#.#.###.###....#.#..#.##...#...#.##.#.#.#..#####.#.##..##.#...#.#.#........#....#.....#..#..##...#.#.##.#.##...#.#...#..#.#..##.##....#.#.#...#.###.....###.##.####.##.##..#.###.##.##.#.#.#.#...#.###.#.###...##..#.#..#...#..#..##.#.####..#######.....#.#..######.####.#...#.....####.##.#..###.###.#####.#.#.#..###.###.##.#..###.##..#######.##...###..##....####..##...#.#..###.#.#.######..###.#####.#...##.###..###.#.###..##.##.#.#..#..#...######.##.###..#.##..#..#.##..#.###..#.#.#.#.#.####.#####...#.#.####.#.#...###...##..#.#.#..#####...#..###.###.#....##.#...#.###............#####.####..#...##.##.###.#.###.#.#..#..##..#....##..##..#..#....###...######..#...####...#.#..#..#..###.#...#.#..#.....#.....##...#.#.####.##.##.###.#.#.#.#.####.#.#.##.#.#....#...##..##.##.##..#..#.#.#.#.#..##.#.#.#....##.#.#.##......#.#......#...##.###..###.##..##.#....#.####...#.##.##.#.#.#..####.##.#.#..####..#.###.#.#.##.#.#..###..##....####..#..#####.#.#.##..#...##.#.###.....##..###.##.###.#.#.###..#...##..#.#..#..##.#..#.#.###.###...#.###.#.###.##.#.##############..###.#.#..###...#.##..#.#.###..#..#........#####.##.#.#.#.###.....#.##.##...##..#.#.........#..###.#.......###...###.#..#.##..#..#.#.#.#...##.##....#.#..#.#..#.###.##..##....#.###..##....#..#.####.#####.###.##....##..##.#.#...##.#..#..####..#.#..##.#..##.....#.#.###..##.#.....#..###.####..##.##.##.##......#.####..#..##.#..###.####.#.#.#...####.#####.#.....##..###.#.######....#.#.####.###.###.#..###.###..##.........###..#..####..##..#.#..#.#.#.#.#.#.#.#....##.#.#...#.#.##...#..#.####
##..###.####.#..#.#..##.#..###.#.#.#.####..#.##...#.#..#...##.#.##....###.##..#.####.##......#.#####.....##..####.#.#...#..#.#.#.#...#.......####....##.#..#...##......#.#.#.##...#.###..####.#####.#..##.#.##..#.#.####.....######.#...#.#....#.####.#.##.....#.#...#.#.#.#.#####..##....#.#...##.###.#..##..####.#..#....##....##....##.#.####.###.#.#..##.##...###.#.#.#.....##...#..#.###.###...#.###..##..#####.##.#..###..###.####.##.#...#.###..##.#.#.#####.#.#..#.....##.#.###..###.###..#.##.#.##.##..#.###...##...#..#..#....#.#######..#..#.#####.#.###..##.##..#..#####..###.#....#.####.#####...#.#..#######.######....#.....#.#.........##..#.##.####.#.#.......##..###.......#.#####.##.###...##..#...#....#..##....###....#...###......#..###.###.#.....##.#..###.##.###...##..##.#..#..##.###.###.##.#.#.#...#####.##.#.##.#.#.#...#..#.###..#.#.#.....##..#...##...#####.##.#.#...##.##.##..#......###.###..#.#...###.........#.###.##.#..#..##..#.##.#..##.....#..#.....##.######..##.###.#.##.###.###.##..#.#.###.#.....##..#######..###.###.#.#..#.#.#.###..#....###.##...#...#.##.....##..#.##.#..#.#.#.#.##.#.##...###...##....#..#.#.##..#.#..#........##..#.##..####.....##..##..##.##..#...##.##..#.###..##.....#...#.##.#.##...#..#.#.###.#..####...####..##...##....#.###..###.#.#..#####.##.#.##.###.#.....#.#######.###....#.####...#...##...#.###.###...#....#..##.##.####...###.#...#.#.#.#.#..####...#.##.#..##.....#######....#.....##....#..#...#.#.#..##..##.#....###....#.###.#..#.#.....#######.#.###..###..#####...#.##........####.####.......#.##.##.#.##..#.####.#.#....##.......#...#.#..##.#.#..###.##..##.#####.#.#.#.#.....###.#..#..#........##...##..###.#.#.#.######...#..#####.##.#..#....#...###..#...#.##.#..##..######...###...##.##.#..##.#.#.#.##..##..#.####..#.#...####.#..##..#..####...#.##.###..#..##.#...#..##.#..#.###.####.##.....#.#.#..#...#..###..#..#.#.#..#..#..#.#....###.##..##.#..##.####.....##.#.##....#.#####.#####..#..#......##..###.#.#....###..###...#..####...####..#.#..#######.#.#.#..#.#.#..#
##..##...##...#.##..##...#####.##..##....#.#...###....##..#########...#....####..#.##..#####.#....##..##.#.#.####.......##.##.#####.##.#.#.###...####..#..####.##..####.#####.#.#.#.#.#..#.###..##.###.###.##.....#####..#...###.....###.####.#.##..#...###.##..#.#.###.#..###...#..#.#..#.###..#..####.#.##.#.#..#..#..###....########.##........###.#.##.####.#.##.#.####.#..###....########..###..#.#.#....#.###....#..###.#.##.###.#.##.#..##.###..##..######.....#..##.######....#.#...#####.####..#..#....##...#.#.##.##.#.#..#.###...#.###...#.#.#.#.#.#.#..#.##..#.#..#...#...###..###.#..#..##.#.#...####..####..#.##.#...##.##.#...###.#..####..#...#..##........####.##..###..###..#..##..#...#####.#...####.###.......##.#..#.##..#..#..##.#....#.........####..#.##.##.##..##.....#.###.##.#.#..####.#.....###...#....##..#.###..#.##..#...######..##..#.#.###.#........#.....##..###.###...#.#######.#.#.#####....####.#.#.#.#########.#..##..#####..##..#.#...##..#...#.##.###...#.#.#.####.#...##.#.#...#####..#..#.#.....#.##.######.###.##....#..#####..#.##..#.#.#....######.#.##..##.#.#.##.###.#####...#.#.###.#.#.##..#.#.##.###..#.#.....#.#..####.....#.#....##.#.####.##.###.#####.###..###.##.#..####..###...####..##...###..###..#######...####..#.######...##.#...#..#.##.#....#.###.#.##.###....##.##..#..###.##........##..#.##...###..#.##...##..#.#..#.#..#....##.######.#...##.....#...##.#...#.##.##.###...#..#...####..#.#.#..#.#.#.##..#...#.#.....#..#.###...##..#..#...#.....#......#...#.#..#..###.#.#.###.#.#..#.#.#.#####.######.###...###..##.##.###...#.##.#####..##.###.##.#.#...########.####.###.#.#.#......#..###.###..########..#.#####.####....#...#.##....###.#...#.##.##.##...###....########.#.#.####.###....#####..####.#.#..###.#.##...##.#.#.#.##..##...#.##.#..#..###..#..###..#.#####.###..##..#..#....#.#..##...#...#.#....####..####.#.##...##...##.##.#.#.####.#.#..##.#.##.#...####.##.#.##..#...##.#.#..##.#.##.####...#.#.#...#.......#...#.#.#..##......#......##.##.##..####.#.##.#..#..#####.#.#.##....#.##..#
#.###.#..#..#.#.#.#...#....#..###.#.#.....##..##.#.##.##.....#...#.###.#...#...####.#.#..##.##....#.#.#.#...##..###.##..#..##.#.###.#...##.....#.....###....##.#.##.#######.#.#.##.##...###...###..#.######.##..#####..#..#.#####....####..#...##....#.#.##...##.##.#..#.#.##...##.#.#...#..###....#.##.#.....#####..#####..##.##.##...#.#......##.#########..#####..#....##..##.###.###.#..####.#.######.#.#.#.#.#####...##.#.#.##...###.#....#..###.....####...##...###...###.####.#..#...#.#.##.###.....#..#.#...#######.##.#..#...###.#.......##.....#.##...##..#..#.###.##....####...#...##...#.#.##....#..####...#####.#.###..###..##..##.###...#........####.###.#.###.#..#..#.##....#.....#.#..#..#.##..#..#..#..###.......#.....#..###...#.#..#..#..####.....####....#####.#.#..#.###...#..#....#.##..#.##.##..#..##...#######.#..#...##.#.######.#.#.#.##.#.###...#..#####..###.#..####.#.##...##..#...#..#.###.#.#.#....####..###..#..##..####..#..###.#.#..#..#...#######.#.########.#....#.#.....#####..##....#..#.##.###..##.####.#.#.#....##...#.#...#..#...##.#..#...###...#.###.##.##.#..####.##....#.#.#...#####.#.####.##...#####.#.####....#.#.###....#####.#..#.##.#...###.#.##.#.#..###.#.#.#.###..###..##..##.######.###..##.#.#...#.#..##...####.#...#.##.#..##.......##.#..##.#..##.##.##......###.#..#.##..##..#.#..#..##.##.....#......##.#.###....##...##..##...#....##..##..#...##..#.#.#.#####.#####..##.###.##.#.....###..#.......####.###..#..#.#.#.####...##.#.#..#####..#.####..#.#..#.#...#.##.#.#.##..##.#.###..##.#.#....##.#.##.#.##...##..###..##.###.###.#..#..###.##....#.##.#..#.#..#....######...#..#..#..##..#..##....#.#.##..##.#.######...######.#.##.##.###.###..#..########.#..#.##.#.#...#.##...##.#..##..#.#.#.##.......####.....#####.....#.##..##..###.....#..#.##.#...#.#.##....#..##.##.##.##...##..#..#....##.....#.....#...##......#.#...#..##.##.###......#.....##..#.#.#.##..##..#.##....#.#######.#########.#...####.#####...#.##.#.#...#.#.#..#.########......#..##.#...#.###.#######.#........#....##.#.###...#..#.
...##.#.####.##.#..###.#####..#..#.......#.######.##...##.######..#..#..##.#..#...####.#####..##...##..#....#...##..###..#.#.##......#......#.####..#.##.#.....###...##.#.######.##.####..##.##...#..#.##.#...##...#..####..#..###..#..#..##....##..##....#.##...#.##..#..#####.#.#...##.#.#..##.###.#..######....#.##...#####.#.#..###.#.###.#..#..#.##.#....###.##...#..####.#.#.#.#.##...#.#..#...#....#....#.####..#.##.#.#####....#####.....#..#...###..##.##.###..##.....#..####.....#####.###..#####.###..##.##.#.####..#..##......#..##.####..###..###........#..#####..#.###.#.#..#....#.##.##...###..#..###.###.#..##..#.#.#...#.#####.#....#.#..###.#.####.#.#.#.##.#.#.#.###.#..###.#...##.##..##.####..##..#...##...##..##.#..###..#.#######.#.###.#.##.###.###.###.####.######.####...#...##.##.#..##...##.#.#.####..#.##.###..##.####..#.#.#####.######....#......#.#.##.##...........##.#.#..#.#.#..##.####.#.##.###...#.#...#....###....#.##....#..#.##.####.##....####.###.##...##.#..##.##....#..#.#...#.....#.#.#....#.#......##.####....#....##.#.#.....#####.###..###...##.#.##..####..#.........###.##.#######.#.....###.##.##....##.#.#.##.###..##..####...#..##.#.##..#.......##...##..#...##....##.#.#...#.#..#.##..###....####...#####.#.##.#.#.###...#...#.#.#.#.##.#..#.#......###.##.#.###....#.....####.##...#..#....#..####..#.#...####.#.#.###..#####.###..#..###..####.........#..#.#.###.##.##.#...#..##.#.##.#.#..#.###....#..#..#..#.#..##.#....##..##..........#...##.##.####.#.#.###....####....######..#...#...#.#.######..###...#####.####.##...#.##.#..######..##.###..##.#..#.#.#..#.#.#.#...#.#..#.#....#..###.##..##.#...#..##.#.##.#..#.#..#.#.#####.##.#.#.##.#..##...########.##.###.#.###.#.....##.##.#.#..#.....#..##.###.#..##.......#.#####.##.####.##.#.###.#.###..##.##.###..#.###..#.#...#..#####....#.#...##..#.##...##..##.##...###..#####..##..#.##....##.#.#..#.#..#.##..###.#..###.##########..##..######.#.##..##.###..##.##..#...##.#...#.##....######.#...##.#.#..#....#.##.#######..#.....########...##..#.#.#..
#....##..######.###.#..#.##...##..##.######...##..#.####.#.####.#..##.#.##.###..#.###...#.##.#...#####.####.#...#....####.########.##..###.#.#######.#.##.#.#..#..#..#.....#.....##.####.....#####.....#.#.#.#.#.....##.#...###.####.##..#####..###..#####.##.#.#.#.##..##.#.#####.#..#..#.#..###..##....##.##..#.#..##.###....#......##..##...##...####..........#..#....###.#####.###.##..#..#.###...#...#.#.#.###.####...###..##.##...#.##..##...##.##.##.#...####..#.##.####.#.#.#..####.#.##...#...##.#####.#...#...#.##..#.#.###.####.#.#.#.#####..#..###.#.##.#..########...#..#.#.##.#............#..###.##########.#..#.##...####..#..##...##.##.#.##...##.#....#.##.###...#.##...#.#...#....###...#####.####.#........##.##.####...........##.##.#########.#.#.#.########.#.#.###...#..#..#..#.....#.####.#...##.....#.##....##....#.##.#####..##.#.....##...###.##.....##...##..###.#..##.#######...####..#.#.#.....#..######..#..#.#....###.....#.#####.##..###.#....#.##.#.#..#####..####.##.###.##.##.##..#.#.#.#.#.........#..#...##...##..##.#...##.#...#.####......##.##...###..##....#.#.#....#.......#..##...##..##.##..#..##.##..##...###.###.#..####..#.#.#..#.####....#..#.#..#...#..##.#.#.....##.#...#..#....#...#........#.#####..####.#...###.##.##...##...#....##.#.#.###..#.###.#.##...######.##...##.####..#####....###.#..#.#.#.#..#.####....###..###...###.#.###.##.##.##..#..###..#..####...###..#.##..###..##.#..#.###..#####....##.##..###.##.#.#.#.#..#.#........#.#...##..########.###........#########.###.#.##..####........#..##...##.#.##..###.#.#...#.#.##.#.#.....#.###.#...#..##.###.###..#.##.###..#.#...##.#.#..####.#..#.....##..#.#.#.##....##.###......###......####.###..##.#.##.##...#.#....#.....#.#.#.#...###.#.####..###....#######..#..#.###.#.#.##..####.##..#..#.#..#...###..##.#..#.###.##.####.#..#.#..###.#.###....#.#.#.###.#.###....##.#...#.####.#####..#..#..#..#.#..#.##..##.#.#..#####..#.##..#.#..#.#....##.##..#.....##......##..#..#.#.#.#.#...#...#.##...##...#.#.#....###.###..###..#....##...###.#......#
#...##.#.#..##.##.#..####....#....#......#####..#####...#.#.###..#.##...#.#..#.###..##.....##.#.##########...###.###..#..##.....#..##.#..#.#...#.##...#.#####..##..#.#...#..#..###..#.....#......#.#.#..#..#..#..#.##.###.##...#.##.##..#.#..####..#.##........##.######.#########....######..##..##..#.#####.#..##.##.##.#....##......###..####...###.###.##.#.#####.#.##...###.#...#.##..#...#.####..#.##.#.##.##..##.......#..#...#...#..#......###.#.##...#.###.#...#.#.#########..##..####...###..#..#...##.#.#.#...#...##..####....####...###....#..####....#.#....#.#..#..#...###..###.###.#.##.#.######.......###..#####...#.#.##...####.####.#.#.#.##..#.#....#..#...#.###..###..#.##...#...###.#####......#.#.#..#...#.#.....#.###....#.#...####.#......###..#.####..##.#..#.#.###.#.###.#..#.#....##....##.#.#...#.#.....##.##.#.#.#....####..####..###..#.##..#####..##..#...##.##....###.#.#.##..#.###..####.##...########..####.####..#.##..#####..#####.#....#..#.#.#.#..#.#..###..#.#####...##....####.#..##.#...#.....####......##.#..###.....#.......##.##.....##.#####...#.#...##.##.##...##...###..#####.#...##..####..##.#....#.#.##...###.#...#####..##.#.###..#...##....##.###.#.#.###...#.#.#.#.##.####...#####.#....###...#.##..#.##.###.#.#.#.#..####......#.....##....###..#.####...#.#...##.#..###.#.##.##.##....#...##.....##..#.#.#...###.#.####.#.###...#.##..###....#..#.###.#...##..#...#.#....#.###.#..#..##....##.##.#.####...#..######...##..#.###...#.###....###.#...###.#.....##...#.#.##...#####..#.##.####....#.##..#.....#...##.#..###......#...#...#......#...#.#######.##....###..#.....##..##...##.#..##.##..##.#..#..###.#...#...#.#...#####.#.#...##.#.####..##....##.#.###.##.#.....##...#....#...##..#.#......#.#...#..####.###.##.#...##...#..#.###.#.#.#.#####..#.#.#.#..###.....#....#.....#....#.#.##..####.#.##..#..#.#.#....#..#..###.#...###.###.#.#.##....#.#.##.##.#..#.#.#.#....#.####.#.#..##.##.######.#....###.#.##..##..##..##..##.#....#.#..##########..#.###..#.#.....#..#.....#..#...####.#.#..##.....###.#.#.#
#######.#.#.######..###.######.##.#....#.###...#.#..#.###........#.##.#.#..#..#....#.##.##..#.#.#.#.#...#####.###.....#.#.#...#.#..###.####.##.##.#....##.#..####.#...#..##.##.##.##.#..#..#.##........##..##.##.##.#.##.#.#####...####.###...#..#.#..##...#.#.#.#..#..###..#....####...##.#...#...#.###...##........#.#..####.##.###..#..#.##..##.###.#.###.###...#.#...#......##..##.##.#...#.#.###..###.#.#.##.#.####..##....#.#.###..####.#.#..###...##.###.#.##..##.####..##...###.#..#...####.#.#.#..##.#.....#.#..#..##.##.######........###.#...##..#..##.##......#.##..##...#...##..###.#....#####..#.########..#.##..###.#.#.##..##.#....#.###...###..#..#..#.#...##.#.....#..#.###.#...##.#####..#.#...####.##..#.#.#.####...##..#####.##...##..#..####.##.##.###.#..#..#.##....#.##...#..##..##..##..##.#..#..##.#..##..#.#.##.######.#####.####.##.#.####.##...##.....#..#.#.#...##.#.##...#....#..##.#.#.#.#.#..#.###..##.#...###.#.#..#.#.###..###...###.###..####.#..#..##.####...##.##.###.#..#...##..##..#.#.#######.#..##.....#.#.#..####.##..##.#...#.##.#..#..#.###.####.##..#....#####.##..##.#.##......#..##.#.##......##..#..####.##.....#.#..#.#....#.#####..#..##..#.....####..###..##.#.#.##.#..#......#.####...#...##.#..##..###.#.##.#..#.########....##.#.#..#.####...###.##.#......#.#...##.#.#.##.....#.##..#.#.#....#..######.##.##...##.#.##.#...#.##.#....##...#.##.#...#..#..#.....#...#...#...#...##.#.###...##...#....#...#.##.#....##...#..#......##.#.....#.##.#.#.##..##.#..#.#####....#.#.###.##...#.####.###.#..##..########.##..###..#####.#.#####.####.#.###.....##.#..##.##..###..#.####.#.#...#.#.#.##.##.###........##.....#..#.#...#.##..#.#.#...#####.#.#.##.....###..###.#.##.##.##...#.##..###.#....#.##.#....#..###.#####.#..####..####..#.####..#.##.##.###.#.##....##.#.....#...####...#..#...##.#######..#.##.#.#....#..#..#...#.#.#####.#..##.#.###.###......#...#......#.#...##....###.###..#####.#.#.....#.#.##...######..#.#...######.#.#.##.#.#.#...##.#...##...##..#.#...#####..#.#.#.....#....#.###..##....#...#.
#..##...#..#...#...#.###.##.##.#...#.##....#.#.##.#...#.##.####.....##.###...#.##..#..#..##.#..#..######..##.#..#.....##....###..#.#....##.#..#.#.##..#.##...##...##......###.##.###...#..#.#...#.#...###.#....#.########.##..##...####..#..##.#...##....###..#.....##.##.#.##.##....#.###..###.#...###.#..#..##.#####.#####.####.....##.######..##....#.#..##..##..##.#.###..##.##.######.#.#..#...##...#.#...#...#.....##..######..#####.#.#...#######..#..##..#####.#####....#..#.##.###.##....#.####..#.#.#..####..####..#####.###..#..##.#.......#.....#####.###.#.##.#..##...##..##..###..##..###.#...#.###.#.#.##.##.#..###.#..#..#.#.#....##.#...#.##..######...##.##..#####.......#.###.#.###..#..#..#######..####.#.#.###.#.###.#.#.#..###.##.#.#.##..#.#..........#.###..#...#.#....#.#.###.##.....#.#.##..###.###.#..#..#..###.##.#.###...####.#....#.....#.#.###...#.#.##.#...#...#.###.#.########...#####.#...###.#..#...#...#.###.##.##.#.#.###...#.#.#..##......#.#.#.###.#.#.#.####.#.....###.#.#.##.#.#.#.#...#.#..#.###.#.#######.###.##..#.#.#.#..#.#..#.###...#...#....##..##.#####...##...##.####..##.#.#.##.#####.#.##..##..#..####.##.##..#..#..##.##.##...#....##.##.#....#.....####.###.##.##.####...#..#..##.#..###.#.##.#.##.#.#.######.#......###.##.#.######.#...##...##..##.##.##..##.#...#####.#..#....###..##..###.##..###.###..#####.#..###.....###.#.#.#.######.#...######.#..#....##..#####..#..#.###.###....###.#..##..#.#......#.#...#.##.#.##..##....##.#...###..#..#..###########.#...#..####...#.....###...##.######.##.##.##...#..###.##.##.#..##.#..##.#.#.###.######..##.......###....#..##.##.#.......#.#..###..#.#.##.#.#.##..##.#.....##...##..#..#.#...###.##.###..#...#.#.....#......##.#.#.##.###.####....#..##.#.##...##.#...####.#...#.#####.#.#..######..#.#..##.#.#######...#.#....#..........##.#####.#..##.#.##.##..#.#.#.###.#.###..##.#####.####...##.###...##..##..#.#####..#.#..####..##...######...#.####.##..#.##......##.#..#..#.......####.##..#...#.#...#..#####.##.#.#...#....#..#####..#.#.###...#.#....#.###
.##..#.##...####.#.##...#....#####.#..#..#.####..#.#.#.###.#..#.###....###.##.#.....####.##.#..#.##.#..##.###.##.#...##..###.####......#.##.##.###..#..#.##...#.##....##..#.#..##..#.......####...#...###.###...###.##.......###..###.#.##.#.###.#.####.#..#....####..#.#.##.#......#..#.##....###.###..##.####..##.###..#.#...####.#...##.##...##.##.#...###...#..#.####...............####.#..##..##.#..#..##....#####.##.#####..###....####..#.#.##..##.###..#....#.#.###.#..#.#........###.##...#.#...#..#..##.####.#...###.#...#.######.#.#####.#.#..#.####.#..#..#####.#.##...####.#....#.##.....##...#..##..#..####.#...#.##.##.#...##.#.##.###.##..#...#.#.#.##.##...#####.###.####...#.#.##.#.#.#..###.##.#.##..##.#.#.###...#####..#.#...#.#.......#..###.#......###.##.####.#.#.#...#......#...#....###.##.#.###.#..#..#.#.####.#.#.#...#.#.##.#.#.##.#..#..#...####.#...#....#.#.##...##.##.###.#.#.####.#..##..#.#.#...#...##..##.######..#...#.#.#.#......#####.######..#..#..#.....#..........###.#.#...###.#.##.##.......#.##.##..#####....#..#...##.......#.#####..###...#.##.###.#...#.#.###.##.########.#.##.#.#....#.##....##..##....#.#..##.#..#.########.#....#.#.#.#...##..#.#.####.#....#...#.....##...##..####..#...##.#...######..#.##.#..#####.###.####..######.##..#.#..###.#.###....#.##..###.#.##.#.#..#.##...####........##.#.#....#...##.##..#.##.#....######....##....##..##...###.##..#...#.#.#..#......###..#.###.###.###.##...##.#.#.#......#..##..##.##.#.....#.######..#......#...###.....#.#.###..###..######.##....#...###.##.###.#.#.#...#..#####.####..#....##.#.#...#..###.#.#....###.###.#..####....######.##.#..##.#..#.#.#....#....###....####....##.########..##.###..#.###.###..###...###....#.......#.##..#.###.......##..#...#####..###..####..#..##.##...#####.#..##.######.###..###.#.#.###...#.##......#.###.###..###.#######.#..####..###.#######..##.##.#..###.##..###..#...#....#.#.#.##....#..###.##.##.#.......######.#.#....####.#.#...##....#..#.##...#..#..#....##..#....#.#..##..###.#.#.###.#.##..#.####..#......
##....#..#.##.....#.#..#..#.....##.#..#####..#....#..#...##...#####..#.###.#.#.#....#.#....###.##...#.#.#.##.####..#.##..###..###..###.######......#...#.##.####...#.####..#.....##.##.##..#.#####.###.#..#.###.#.....#.##..#.#.##.##..####.#.#..#......#..#.#...#....####..#...##...#.#.#...#####..##.....###..##.##.##...####.###.##...#.#...#...#..##.###..#.#.####.####....#.##.###..#####..###........#......###.#..#.###..#..#.#.#.#...#.#.##.##.###.####.#.###.#.#......###.###.###.#..#...###..###.#.#.####.##.###...##.##.##.#.#..###.#.#.#...###.#..###.....#..#.##..###...#..#####.#####.######....##....##.##.##.......#.#..#.#.#...#..#..#.#######.#.#..###..##..##.#.#..##.####..#..##.##..#.#...####.#.....#.#..#.##..#.#..#...#..##..#..#.###.##.#....#.##....#..##..#.#..##.#.#.##....###.#...#####..###..##.#.######....#..###.#.####....#..##..#...#.......######.###.#...#.#.#.....#.##..#..#..#..#..##.#.#.#..##.####....#...#..###..#.#..##....##....#.########.#.###.#..##.##....#.#.......##....#.##.#.#..#.#..#.###.#.###....#.#.#.#...####.#...#.###..##.##.#.....####..#..###....#.#.....#...###.##...######..##.#....#.#...#....##.##...#...#..##...#.#.....#....###....#####...#...##.####.......###.#.#..###.###......#...##...#.##.##.##.....##.##..##.##.#.#.#.....#.###..###..#.#.#.#####..##.###..#.#.#.....#.#.....##.##.#.###.#.##...###....#.##..###.#..#..#...#.##..#.#.#...###..#......#....#######....#.#.##########.##..###.##..#.#..#...#...###..#..#.#.####....#.##.##..##.####....##...#.##..#.#..###....#.#.#.....#..##..###...##.#......###.#...##.#.###.##.###.#...##...#...#..###....##..####..####..####.#..#..#...##...####..##.###...#...#.##..#.....##.####.#...####..##.#..#.#.###.#...###.#.#.#.##..##.....#####...#..#.##.##..###.###..######..#.####...#.#.####...#.#..##...#.###.##..##.##.##..#.#..#.##..#...##.#.#.#.#..#...######.#####.#######...##.#...####.####.##........###.##.#..#...##..###.#.###.#.#.###..#.#...#...#.#..#.#.....#.#..###..#.###...#..#..#..##.#.###..##...#..##....#..####.#...#.#.#..##.#.
#...#.##.#.#.##....##.#####.##.####.#..#..###.##.##.#......##.#.##...#####.##.###...##.#.....##..#..#.##.#...#########..#..###.###.#.#....###.###...#....##...#.#.##..##.##.#.#.###.##.##.###..##..##...##.#...##.#####....#..##..#..###.....###.#.#.#...#####.#.#..#.##.##.##.###.#..#.#.####.###.#...###.###...###.####...##.#.##.#..#.....###..#.##..####.#.###...###.##.#...###.....#.#####..##.....##..#.##...####..#.##.#...#.#...##.#.##.#.###.#..###........##.##.##..##..#.###.#..##.#..##..#.#.#.#.##..#....#.#.##.####.####..##.##.#.###.#....#........#...###..##.#.###.##.###.####.#..####.#.###.#...#..#####..#..#.#...###..##.....#.#.#####.###.#.#.#..####.#.#..###.#.##...##.##.#.#.....#####.##.####.#.....###.....#.###..#####.##..###..#####...#.....#.#...#.#.#.....###..#...#.#.#..###.#.#.#.......###...######.####..#.##..##.##.#..###.....#...#..#...###....#..##..#.#######.#####..##.#####..##...###.####..#.#.......####.#.#.####...###.##.#.##...###....#.##..####...#.##.......###.##..#....#.#.##..##.##.##.###.##...#.....#.#####.....#.##.######.#.#.....###...#.###.#.###.#.##.##.####.###.#.###..####..####.##.#...#..#..#..#..###..##.#.#.#.#..#....#..####.........##.....#####.##..#.#.#..##..#..#..#.###...###..#.##.#.#.##.###..#......#.######..#.#.#.#####.#.....#.#.###.....#####..##.###.##....##....#.#...##..#....#####..#.#.#####.#.#####.#..#...#...#......#.##...##.####.##...##.#.#.##..##.#...###.##....#.#.##.#.#......#....#...#.##.##.#.####.....###.##.#####..##..#..#.....#.###.....#.#.##.#..####.##.####..##.###.#....#####.###..#.#.#..#...###..##...##.##.##.#.##.##.#.####..#.#.#####.####.#####.###..###.......#..#..##...####.#.....#.##..###...##..####...###...#.#####.#........##..#.###.##.##......#.#..#..####.#.##.#...##.##......##....####.##..#.###.#....##.##.#.#########..#..#...#.##.##.#.#...#.#.#.....####.#..#...##.####.#####.##.###...#####.#.#####..#.#####...#..###.##.....#..#..##.###.#####.####..##..##.....#########..#.###..#.##...#....#.###.###..#####.#.....#.#.....#.........#.#.##..
#..##.##.#....####....#.##.#.##.##.#.#.#.#...##...#.#..##..######..#.##....##.####..##..#.###.###....#....#..#....####.#..#....#..#.#.#..#..##.##.......#.#.##..##.#.###.#..#..#.#..####....##....#..#...#..##.##..#...##.#.....#####.###.#...#....#..#..###..####....#.#######.#.#...#.####.###...#...####.....##.#..#..###..###..#..#.....#.....#.##..##.#..##.##..#...##....##.###.....#.###.#.#####.#.##.####.........#.......#.....#...##..#.###...###...###.##.#..#..#....##..#...#...#.#.####.#.##.###..#.###..###.###.###.#.#...###.###..#..###.####.#.##..#.##..##.#..##.#.#####.##.#...#.#.####.##.##..#..#...#####..##.##.####...##.#..#######..#.#.#.#..#..##..##.#...######.#..##..###.###.#..##..####...#.#..#..##.##.####...####.##.#.#..##.#..##...#.#.....##.#.##.#.#..#..###.##......#####..#.###.#....#######.###..###.......##.##.#.........#...#...#.#.#..####.###..##..###.#.....######.#.#.#....###.....#..#..#.#.#....#..######...#.##.####..#..##..#..#.######.#..######...###..####...##.#..#..#######.#.....##.##.#.###.#####.###..#..##.#...###....#.###..#.##....##.###.###.#.##....##..#.##.#...#......####.#.#.##.#####..####.##.#....#.#..#..#....#.##..#..##.##..#.....#####.##..#.#...####...#.#.####...#....##......##.#....#.##.#.#...#...#.#.####...#..##......###..#....##..#.##...##.####.#...##...#....#...#######...##.##....##...###..##.###.##.....###.#....#.#.#..#.##....#.#######....#.#######.#.##.##..##..#..#..##.#.#.#.#.##.#.#..#....####.###.#..##.#..##..##...#.#..###..##.#..#..#..##.#####.##..#..######..##..#..#...#.....##.#....#...##..##..#...#.#####.#.##.##...#####...##..##..#.#..##.#.#...#.####....##.#.##..##...###..........######..##..#.####.######..##.###.##.#....##.#.#.....##..##...#####..######...##.##..#..#....###....#..##....###.....#.#..#.#.#.##.#...#...###..#.#...#...####...###.#...###.#.#......###.#...#..#....#.....###.#..###..##.##..#..#.#####.#####..#.#.#.##.####.##....#.##..##...###.##.#..##.###.##.##.#....#.#..#####...##.#.####....###.#####..#..####.##.##..##...#...###..###
#######.#....##..##.....##.#..##...####..#.####.######.........###.......###.######.##..###.#.###.#...##.###..#.###...#..###.##....#.#..#.####.##..#.#..#.....###..#..#...#.###..########.######.#.#####..###.#####.....###...#.#.#.#.###.....#......#.#......##..#..#.########.#..#.#..####.....##...#.##.....#.####.##.#.##.#..#.#....#...####.#.#.###..#.##.####..#.#.##.....#####.#....##.#.####....##.###.##....#....###.#.##.###..###.#..#.#.......#..#.#..####.#.##.##..#.####.#..###..##.##......#.###.##.....#...####...#.#####.#.#.##.###.....##.###..##..#...##..##.##..##..#...#..##.....##.#.#......##.....##.###.######.#.#.#####.#.##.#.....##..###...#.....##......####.####.###....#..###.###...##.#####.#.#.####.#.###.###.#...#....#.##.####.#...#..#.#.#######...##.#..###..##..####..#.##..#####....###...##.......###..#..##.......#..###.##.#......###.##.#..#..###.#...####.###.#...##.##....#...#..#.####.#.#..#..##.#...#.##..#.#####.#..##..#.#....#..#.##..##.#..###..#....###..#.##.#.#####..#....##.##.##...#.###.##....#..##..##.........#.#.###..##...#..#...#######...##.#..###..##.#.....#.#..##....##.###...#....##.....#.###..##..###.###.##.#####..###...##..###.#....###...#...#..#..#...#..##.####.###.#.#.##.#.#...##..###.#########..##......###...##...#...#####..#..#.#..###.#.#..#.#..#...##.#.#.##.#..##.#..###...#.#....##..#..#####..#...#.#.....#.#.........#..##.####..####.#...##..##.#.#.#.#.#######.#.#..##.#.....##.###.#.######.....##..#...###..#.#.####.#.#...#.##.......#.##.##.##...#...#..####....##..#.##.#.#...#....#...##.#.####..#####.#..##..###....###.####.....###..####.######.####...##.....##..#..##..#.##.##......#.#..##...#.#######.####.###.##.###..##.###....##.####.#.##.#.#...#..#..###.#####...#..#.###....#.#####.##..######.###....#..##.###.###.#.##...##.##..###.##..#.###...###.....#.#.#....###.#..#...#####.#.###..#..##...######.##..##..####.##..#....#..###..###....#.#####.##.##..###...#.######..##..#.#.###...#.#####.#####........##.####.##.#####....#..#...####.#...############..#
.#..##...####.#...###..#....#..#..#.##.##...#..#.###.#..#..#....##.....#.....#.###......#.#..#.#.##.#.###...##.###.#..##.#....#####.#.#.#.#.##.#.#####.###..#.####...####.##..##.#.#...#####.#.####.......#..#.#..###..##.#.############.###.#...#......####..##..#...##......#####....###......####..#.##.#.##....#..#....#.#..#..#...#.###....#.##.#......#..#.#.#....#.###.#...#.#..#..##.##.#.#........#..###.....###.##.##.#...#......#.##...#....#.####.....#....##.##...##..##...#########..#####.#...##.############.#.#...#.##.##.....#####.##.##.###..###..#.##..#.##....##.....###..#...###.#........#.#...##...#.#..##...####.###.....##....#..##..##.##....#.#.#.###.#####.###.####..###.##...#..#.#.#..###..##....##..#.#.##....###.#...##..#....######...#..##.#..###.######.####.###...######...###..#.##...#..##.......#....####..###.##...#..###..#..#.#.#.##..#####..#.#####.##.##...##.###..#.##.#..##...###.#...####.##.#.......###...##...###..#.#..##.####.#.##..##....#.####.####....#.#.#.#...##.####...######...#..##.#....#..##.##.##..###.#.####..##....#.#..#...#######..#.##...#####...#.###....#.#..#.#..#.......#..##..###.##.#.#..#.#.#.##.#..##.#.#.#.##.##.##...####.#.##.##...###.#.#...########.#.##..###.#.#.###.#.#.#.##..###.#..###...##.#.##..#..#.#...#..#..#######..#..######.#.##..###..##.#####.#..##.#...##...#..##.#..##.#..#####.##...##...#.#..##..##....####....##.#..#..##.#.#.##...###.#.##..#####.#..###..#....##.##...#.#....#..##....##...###..####...#####.#.#.#..#..##.###.###.##.#.#.#...###.####..#..###.#...#.#....##.##..#..##..###...########..##...##.#.#.##.#...##.#.#...##..#.###..##.##...#....#.###..####...#.##..#.##.##.##...###.##..#.#...###..######.##.....####.############.#....#.##.##.#.##.####.##..####...###....##.#.#....#...#.#...#..####.##..#...#.####.#....#.#####..###....#.......####.##...###....####.......######..#.#.#.##..##...#.#.#..#.#####.#.##...#...###.##....#...#...#...##...#..###.##...#........##....#.#####.####.##...##.....#.###..#.#.##..#..#...##.#.#..#...#.##.#.#.###
#..#....####....#.########..#...#....#.........#.#.#.#..#..##.#.#..###.##..##.##.#.#..#.###..#.......####..###..##.#.##....##.....##..#.#####....###.#.######....##..###......####.##..#..###.#.#....#..###..#####....####.#........#.######.##.###..#.#...#.###.######...##....#.......####.#.##########...###.#...##..#..##...#.#.###.#..##.#.##..#..#.#.###.##.#..#.#....#.#.....#..#.#######....##....##....#.##.#......###.##..#..######..#....#.###.#..###..######.#.#..#....##.##.#..##.##.#......##.#####.###.##.##.########.###..#.##.#..#........#.##..#..##..##..###.#..####.#......####...##....####.#####...#..###.##.....#...###.#....#.#...###..##.#######..#.##.##.###....##.#.####..##.#.####..##..#...#######.###.#####..##########.#..##......#.##....#..#...#.#..........##.#.##.....##.##.######.####..###..##..##.###......##.##..##.#.....######..#..#.#.#.##....######..#.#....#.....#.#.#.####.##..#...#.##.......#.##..#..###.#..#.##.#.#..##.#.##.#####....##..#.....##.##...#.#..#..#.#..##.###..#.#..#..#..#..##.#.#.###....###...##.##..###.#####.#..#.#..##.###.......#.#######.####..##.##.#..##.##..#.....#####..#..#..#.....#.#...##...#.##....###......##.....#.####.##.#.....#......#....#.####.#.###..#.....#.#.#.##.#.#...###..#...##.....#.##...##.#..#...###..#######....###.#######.#.....##.#.####..##.###.#.#.####..#.###....##..##.#..###.##...#.#####.#.####.#.#..##...###.##..###.###.#.##.#.###.#.#.###.##..###..##.#.#.###.#####.##....#.....###.##.##.##..##.#.#..#####.###.#..#####.#####..#.####..##...####...##.#.#..#.#..#########.#.#.#.##.##......#.##..#.......#...#...###..#..###.#######......##..##..#####.#..#...##.#..##..#.#.###..#....#.#.#.....###.#...##..##.#...#...###..#..#...##..#.##.##.......#.##..###.....#.#.#.##.##.#..#...##.####.......####..###.......#.....##..#.....#.#.####.#.#####......##...#######.##..#..#...##.##...#.##.#..##.#.##..###.#.#.#..#..##...##...#..#..#####.##.#.###...##...###..#.#.#...#.#...##.#.###...###..#####.#..#..##...#......##...##.....#.#..##########.#..#.#...##
###.#..#....#...#..#..#.#...#.###.###...#.##.####.#.###..##..#.....#.##...##.##.##.#####...#.#.##..###.#...#.....#.##.##.###.#..###...###.####..###...##.#.....#........###.###.###.#..#..#..###########.#.##..##.#.#.#.#..##.#....#.###...#.###..##.##..#..###..#.#.#..##....#.#.####.###.##...#.##...#..#...#.#....#.#...##.##.....####.#######.###...#.##..####..#.....#..#....#...#..###..#..#.#.#.##.##.....#####.#.##..#...###..##..####.####.##...#.##..##.##..#...#.....#.......#..#.##....#.#..#.#..#.##.....#...#.##.....#.#.###..##.#.#.#....#####.#.#...#..#.#.#.#..#..#..##.#...#.#.#.#..#.#..######...##..#..#######.######.#.##.#...#.###.....#.###.####..#.###..##.##..#...###.#..#.###..###.###.##..#.##.#......#..##...#.....##..##.#...##.####.#.###......#..#.#..####.##...#..#...#.....#...#.#.###.##.###.###..#..####....###...#.#..##..##..#..#..#.#..#.##.##....#.##......#...##..####....##...#...#........##....#.......#..##.##...###..##..###..#..#..###.#..##..###.#..#####.#.#.#.....#....###.......##..#.####.#....##.###.#.....##..#.##..#.##.#..#.#.###.#.#.#.....#.###..#.###.#...#.######..#.###.#.#####......###.....##.#.#.######.#..#...#.#...#...####..###.#.#.....##...##..#.#.#...#####.#.#..##.....#..#.####..#.###..##.###...#.#.#...#.#..####.##......#..#..#..###.##.#..#..#..##.#.#....##........##.#.##...#####.#.#.###...#..#.#.###..#.##...##.####.##..#...##...######.##.....#.###.....#.#..#.#.###..#####...#.#.#.###.#..####.#.###..##..##.#..#..#.##...#..#.####....##.....#.#####.#.##....#..#...##....##..##..###.###.###...###.##...#.#####.##.#.####..#.##.#..#####.#.###.#....###.#...###.#.......####..##.###...#....#.#...##.##.#.#..##...######...#######......##.#####.....#.#..#.#.#.##..#.#..#...#.#.#..#.#.##.#####.##.#.....#.####...#.###.#..###..#.#.##....#...#.#...#.##..#..#.##...#..###..#....#.#..##...##.#..#....#.##.#.#.#....#..##.####....##.##.#.###.#.#...###...#.#.##.#.#....##..##.#.###.#..#.###.#.##.#....#.#.#.##.####..###.....###.#.....#..#..##.#.....##.#.#..##.#.#.##.####...#.##..###.
..####.##..####...##.#.#..#.#.....##.#.##....##...#....#..###.###.#.#..#......#.#.#...##.####....#...#.##...#..#####.##.###.#..#...##.#.#.#....###..####.#.####.##.###..#.####..####.#.#.#.##.#......#.##.##.######.####..#..###..#...#....#..###..#######.#.........#.##..#..#.##.#.###..#.......##.###..#.##..###...###.######.##.#.##..##.####.#...##.####.###..#.#...#...#.###..##....###.#.....##..###.##.######.#####.##.##...##......##.#.#...###...#..#.#####..#...##..##.#####.##.#.####.#.#.##....####..##..####.#........#.#.#.##.#.....#.##....#.#..#.##.####.#...#...##..##.#.##.#...##.#....#..##..#.###.##.#..####...###.###......##...##....######....#..####.###.#....##..#...###..#..#.#####.....#.####.####.###.#..###.#.#..#...#..##.###...#..#.#...#.####..##.#...##..##.######..#.#.####.##.##..##.###...#..#..#..#.....##..###.##.###.#.#..####.....####.#..#.#...#..###.#...#.###....#..##.###....####..##.###..#.#.#####.#.##..###.#..###..##..##..#.##..##...##..###..####..#.###...###..####..##..##.#.###.#....#..##.#...#.##..#.###.#.#.......#...#........#####...#.#..##..#####.#..#...#...##..####.#..#..##..##.#..##..#####..#######...#####..###.#.#####.#..###..###...##..###.....###.#.#.#........##.###.#.#.##.###.##...##.##.#.#.##.####.......##.###..###..###.##.#..#...#.....###...#.#####.#.###...##....###..#.#.#.####...#.#.##...#.#....#..#......#####.#######.#....#.#..###.###.#..#.#.##..##.##...#####..###...#...###.#...#####.####....#.###.##.#...#..#..#####.#....#....##..#...##..#####.###.#..##..#.#.###.#######..#####...##.#..#..###..####....#####.#...#####.####..#...#...##.#.#..#..####.....#.....#.###########...###.#######.##...#.####.#.#.#.#.#####.#...##.##.##..#..##.#..#......##.##..##.#..##..#..###...#..#..#.#####.##.#.#.#.#.##.#####..###.#.....##....#.#.#.#...#.....##.....##.#.####...##.####..#.##.##.#.##..####...##....###...#.###...#..#...##..##..##.....##.#..##......#.##.#.######.....#.#.#.#.##.#....#..#.#.#...#..####.########...##..######.#.###....#.##.##.##.#.#.##...#.###.#...###..
##.#.##..#..#.#.###....###.#....#..###.#..#######.......#....#.##.###....##.####.##..#.....##...#..#..##..##...#..#...#..#....#....##......#...###.####...##.#.#..#.#......#.##..###.####.###.##.###.####..#...#..##..#..##.######.#...##..##....#######...#....#####...#...##..##.##...##.###.#.##.#####.#.....##.#.#..##.#.#.#....#.#..##..#..##.######.......####.####.##.#...#.###..###..####.###.#.#..####.#.#...##..###..#.##..#...##.#######.#####..##.#...#.#.###.#.###......##...##..#..#....#.#.####.#.##...#..#..####..##.#.#.#..##.#.#....##........####...#..#.#......#.#####.#...#...#.#####.#..##......##...#.#.#..##.#.##.#..........#.#...##.#####..#..####.#.#.#...##.####.#####..#.##...#.##.##.....####..#.#.##.###...#......##.##...###..#####.#..#.#.#..##...#...#...##.####.#.....##..#.##.#.....##..##.#.#.####......###.......##..#.#.#.##.#.#..#..##...###.#.#.##..#..######....###.#..##....###.#.####.#..##.##.#....#.#.##.#..##.##...#........#.......###..###........##..#...#...######.##...#.#..##..#...........#.#..##...######.##.###..#.#.#.###.....#####.##.#..##.....#..#..#....###.#.#.#......####.#...#....#####.#..#...#.....#..##..##..###...#.#.######......#.#.##..#..#.#..######....#....#...##.##.#...##...##..#.#..##..##..##..##..###.##.....#..##...##...###....#..#..#.######.###.#.#.#..#...#.##..####.#..####..##.....######......##..#.#..#.#.##..#..#.......####...#.#..##.#...#..##.##..##........#.#.#..###..###......###..#....#...#.#.#.#####..#.########.....#.#.###....#....#..##..#.#.####.#...#.##.#..###....#..###.#.#..#..##..###.#...#.###..####.#.#####..#...###....#.#.#.#......##.#.####.....#.#..#.#####.#...#.#.#..##..##..##.#.#######.##...##..#....#.#..##...#..........####..#.#.....#.....##...#..#...##..##..#..#####...#.###..#..#..##....#.###.#.....###....###.###.#..##..#....#####.###.#####...#.#..###.#..#.#####..#.##.#..##.#.#..##....###..#.###.##..##.#....##..#####...##.#..##.#.#....#..##.##......#.....###.#.####.#.#...#......##..##.##...##..##.#.#.###..##.#.##..#..#.##...#..#.###
..#.#####..####.#..##.###..##...#....##..####.##.###.###.###.#..#######..#########...#..#....#..#.#....#..##.#.##.##....#.#####.#.##..#.#.#.#..#.#.#..#.##..#####.#...##.#..#.###.##.##.##.#.#.#.###.######.#...#....######.##.#.##.#..#..###....#.##.#......##...#...#.##.##..##....#.#....#####..##..#..#.#.###.#..##..#.##.####..##.#.#...#...#.####.#.#...#...#####.#.##.#....####..##.#....#...##....#..#######...#.#.#..##.###..#...#.##.........#..######....#....#..###..#..##...##.##...##...#####.....######..#.#...#...##.##..##.....#....#.#..##..##..#...##.##...##.##..###..#.#..##.....##.####.##...#.#.....#..##...#.#.###.##....##...#...#...###.###...##.##......###..##...##.##...#.#..#..##..#....##.#..#.##.#..###...###...#.##..##.#...#####.###.###..#.#..##..#.###..##.#..#....##.#####..####.##..#.#..##.#.#..######.##.##..###.#...##..###.##.##.##.#..#..#.###.#####.##.###...#..##...###....#.##..######.#.####.###.#.#.##.####...#.#..###...#.######.#.#..#.#.#.#...###..######...#.#.##..#.#..##.#.##.##..#.####.#.###..##.#######.#..#..#....##.#.#.###..###...#.....##.#.#.#####.#..#..#..##..###....#.....#...#....#.#.#.##..#....##.#.##.....###.#...##...#....###..#..#..##########..#.##...###..#.##...###.###.##..##.##..###..#.#.#...#.##......#...###.#...##.###.#.....#.#..#..##.#.#.....##.##.#.##.#.#.#####.#.#..##.#...#.##.##....###..#.##.##..#......##.....###..##.####..###.#....##...##...#..#.##.###....##..#.###..##....##.#.#.#..#..#.#..###.#####.....#.##...##.##.##........#...##..###...#..#.##.....##.#..#.###.#.#..####..#...##........#..##.###...#.#...#..####.##...###..#.#####...#......####.###.#...#######...#..##.....##.....###....##..#....#..##.###.##..#...##..##..#....###.####...#..#..#..##.###......#######..#..#.###..#.##.###.#..#.#.##.#.#.....#.##.#.#####.####..###.#...##.#.###..#..#.##.#.#.#...#..##.#.#..#..##..###.###.#.#.#......#...##.#.###..#......##..#.#....###.#.#..#.#...#....#.##.####..##..#..#..####..#..#.####.##...##..##....#.....####..#...###.#.###.#...#######.##...##.#.#.#.
##.##.###..####..#.#########..#.#........##.#......###...##...#.#...#.#.#..###.##.#..##.....#..#.####.#.#.#...##..######...##.#.####..###.###..#.##.#..#...###...#...##...##..#.###.#.##..#..#.#...#.###.##..#.#...#.#.#.##.#..####....##..#.#..####.#.##.#.#...###..#...#..#####..##.#..#...###...###...#####...####.####.....###.#...###.##...#.##.#.#.#.##.###.......#..#.#.....#.#..#####.#.#.###.....#.#.#.##...#####.##..#.......#.....#.#...###.###.##..#......###.#..##.#.##.#.###.#..####...#.##.#####...##..#..###..##.##...##.#.##..##..##.###.####.####.##.#.####...##.#.#.#....###.####.##.#.####.....###.#..#.#.#..#.#######...##...####..##..#.#.###.##.#.####....##...##.#...##..##..#..########..####..#.#......######.##....#.###...#.#..##..#.#.#.####.....###..#..##...###.#.##...####.###.###.#.#.#####.....###..###...#...##.##.#...##....#.##....####.#.###.##..##.##..####.#.#.#.#####.###...#....########.#####.#.###.###..#.##...#....##.##.#....#..##.#..######..####...#..#...##.#...####.##..##...#........##..##.#.###.###.##.#.####..#.##.#.###....#...#.#..#.######.##.##.##...#...##..###..##..##.####.#..#..#.#..##.##..#.#..####.#.....#.#..##.##.##.....###...##.#....#.##.#.#.##.#..#.#.#....#..##.##.###.#....##...#.#.##..#.#...##..##..#.#.##..#.#.#..#...#####.#..##...#.##.##.#.##.###.##.........#..####.#.########.##.#..##.#.##.#.#..#.#...#.#.###.##.###.#......#.##.#..#..#..##.#..#.#.#.......#.#.##....###.....#..#..#.#.#.#....######.#.#...#.##.##..##.#...#.#..#...####.##..##.#.....#....#...#.##.#.##.##...####..###...###.##.#....###...######.#...#####.##.#.#.####..#....##.###...#..####.#.#...##...#.#.##.#.#.####...#.#...#..#...###.#.#..###.###..#.##.#........#.###...#.####.######.#####...#.##...####.##....##.###.#.##...######.#..#...#......#.#..#...##..#.##.##.##..###....#..#.#..##.###..#...#.....##.#.#####.######..#..#..#.##.###..##.#...#######.###.#######.##......##.##.###.##.##..#######.#..###..###..####.....#.#.##..#.#.#####..##..##.....##....##..######.###.###.##.######.#..###.#..#.##..
.##.#....#####.#..##.....####..#.#.##...#####..##..#.####...#.#...#..#..#........#..##.##.#....#..#.#...##.#..#....#.####.####..#..#####..##...###....##.##.#.#....#..##.##...#.#.######..#.###.##.#.......##..##..##..#..#..#.#.#..#..##..#.##.....#..##..##..##.#.###.###..###.....##........#..###.#####....###.#.###...#..#.####.##..###########...#...###.#####.##.#.....#.....#..#..#.#.##.#..##..#......#..##.####.##...#.#######...#######.#####.###...#.##.##...###.##.#.#..#....#.....#.##.....#...##....##...#.#.#.#.##.#.#.##.#.#.#..#...#.#.#.######.....#...#.......#..#...####.#.####.#.####.#..##.#.#....#..##...##.###...#.#.######.###.#######..##....##..##...#.##.#..#.....##.##.##....#.#..##....###..#.###.#..##.#########.###.###..#.#.#.####....##.#..#.........####..##.###......####..##.##..#.#.##.###...#.###.#.##.#####.#..##...#.####.#...###....#..#.##...#...#...##.###.##.###.#..#.#...#.#.#.###...#.#.#.##..#.#..####.##.###...#..#..##.####...#..#.##...##....#..#..#.###.#...##....######..#.##.#..#...#.###.#....#..###.#.#.####.##.##.##......#.#.###...#######..##........###.###.#....##........#.#.#.#..##.#.#..###.####.##.........##.#.##..#..#######.###..#...#.##.####.#.#.....##..####..##.#.#.###.##...##.....#..#...#..#####.#.#.....#.....##..#.##..####...####.#...##.#.#..##...#.######.#####........##.##.#.##.....##.#..#....#..#..#....#...##..###...##.###..#..#...#..##..##..#...#.##.##.####..#..#..###...##.##.#...#..#..#.##..#.##.#.####.....##....#####...#.#.#.#....#.###..##.#.##.##.##...#.#...####..####.###..#..######.###.#.#.#.####..###.##...#####.#########..........#..#.##....##.####....##...##.#.#..##.##..#..##.#.#.#...##.#...#.##..#.#....##..#####.#.##..##...#..#..##..###.##...#.##.#.#.#.####.######.###.####..####....#..#..#..##...##..##.#..##...#.##....#...##.##.##..##.#......#.###...#..#.##...#.#.#...###.#..#.######.#######..#.##.#####...###..###..######.#.....#.##.#..##....######..##...#.#.#..###..#..#.......#..##.#...#....#..###....##..#...#..#....#.#####.##.###.#.#.#..###
######.#...#....#..##...#..##....##.#####.##.#########.#..##.#.#.##.#.###...##....###...#.##..#..#..####...#####...#..#...#...........###.##.#.##.#.#.#...#...#...##..#.##.##....##.###...######.#.#.##.....###.##..#.####.#.#........###.......#.##.####..###..#.##...#...####.....##.#...##....##.#######.###.##.#....##..#.#...#....#.#...#.##.##....#.#.###...####...##.#####.#.#....##...##.#......###....##.#.#.######...#.##.#.#..#..###.#..#.###..####.########..###.#..#....#######.#..#...##.##.#........##.#.#.##.#####.#...#.#....####..#.####...##..#.###...###.....####....####.########.#...###..#.#....#.###..##...#.##....##.#.#....#..##...#..##....##.##.#.#.####......#.######.#..####........#...#....###.###....###.###..##.#..#.##...####..##.##..#..###.......####.##..#..#..##...#....#...#..#####....#.#.###.##....###..###.#######..#.##.##.###.#.....#..##..##.####..#.##.#.#.#..###.#.....#.#.##.#...##..###...##..##...###.....#.###.#.#..#..#..###..#.#.#..#..##..#......##.###.##.#.##.#..#.#.##..#..#..#..#.#..####.......##.###.###.##...#..##..#...#.###..........###...#.##..#..#..###...#.##..##.#....##.....##.#......##.#..#.#.#.#..##....#..##.##..#..#.#.#####....#.##..##.#.#.##..#.###.##...####..#...###..#.#..###..#.....####.#...#.....##.#..#...#.#.#..#....##......####....#.#..#.##.#..#..##.#.####.#.#####.##.#..##.##.#######....#.#....#..#.##..###.###..####.#....#####.###.###...##...###...#......###.#######.##.####.#...#.###..####.#.#####..####.#...#...###.#.##.###.#.##.#.####....#....##..##..#.##.#.####...#.###.###..#.###.##.###....##...#...##...###..#....##...##.#.#...##...#.....######..#.########.####..##.#.#..##.#.####.#....#.#.#.##...#..##....##...#......####..#.##..##.####..###..##..#####..#....#....#.....##.#...#.#####.#...#.#.#.##.#.#...#####..#.##########.##.###...#..####....###..#.#..##..#..#..#.##..##.#....##..###..#.###.#.##.#..###.##..##..####..#.#.#...#..#.##.##...#.#...###...###...##.#####.####......###.#####..##.#.#.#.###.#.#.##.##.##.##.##..##...#..#.#.....###.##...#
###..##..##...#.#....#####.##....#..#.#####...###...##..#.#..##.#.##..##....###.###..#..#...##...##.##.#.###.#...#.##.####...#.#...#..#.#.#.#.#.#..###.#.####.#..#...#.....#.#....##.#..##..###...#######.....#...###.#..###...##..#####..##..###.#...####.#######...###.###....####...#...#..#.#.####.#.#..############.#.#..####.#####.####.#.####..#..##......#..#......##.##.#####.#.#.##.....###.#...#######....#.##.###.....#.##.#.##....##....##....##..###.#.#####..#..#.##...#####....#...##.#.#.#.#.#..#.###.##.######.##.#.###.#..##....##..#.##....###.#....#.##.##.....##..##.#...#####.#....##...##.#..##...##..#.#....#.###.###.#.#.##...####....####......####..#.....#....###..#.#.#......#####.#...#.#....#.##....##.#######....#..##..#.#..#####.###....#####.#.######..#.#..##.##..###.##...##...#...###.#..#####..###.......##.##.#...###.##.##.....###.....#.###....#.#..#...##....#.#...#.#.#.#.#.####...#...#.#...#.#.##....#.#.#...##....#..#.#.#.####..#..##.#....#....###########..#..#...#..#######.#.#.#..#.#######.#..#.####.....#.#..#.##.#.#.###..###.#.#.###..#.#.##...#.#.##.#..#..#.##....##.#.#.##.##...#.#....##....##.##..#..#.#...#.###.##.#.#.#.##.#...#####..####.....#.##.###.##..#.##...#.####.#...###...###.#..#...#####....#.##.#..#..###..#....#########...#.###.##.##.....#####..####.....#####.####.....#.###.#..##.#.#.#####.#.#.#..###.#.##..#.#.##.#.##.....#....#..##..#...##.#..###########..##..##...####.....#.###.....####.####.###.####...#.#.....#....####..#.##.#..##.#.#####.##.#...#.......######.###.#..##.....#.#.#.#..#...#..##..#...###.#.###...#.#####.#.#..#.#.#....#.#####.#..#.#.#...###..###.#...##.#...###..#.##..###.#...###...##.##.#....#.#.##.....##.###.####.#...#..#.#.#....#.#..#.#.###.#..##..#...#...#.##...#####...##...#.#.......####....#.#.##.###..#.........#.##..#.##.##.#..##.#.#.#.#..####.#.#...#....#.#....##.#.#.##.######....#.###.#....###....#.####.##..#..##.###.#..#....##..###..####.#..##....#.##.#...#######..##......##.###.##.###.###.##.......#####..########.###...##....
#...##....#.#.#.###...#....###..#...........####..#.#..###...##.#.###.##.##..#..#.#...##..#.#..##..#..#######.#.##.###.#.#####.##.....##.#..#...#####.#.###.#..#...#######..#..###..###.####.##.....#.#.#######.#...#......#####..##......#..#####.#####.#...#.......##....###.##..###.###...#.#.##.#.#..##.##.#...#.###.....#.##..#........#.#...#.#..#..##.#.....##.#.##..####..#.####.#..##.#.##...#.#.#..#.#...#.....####..#.###.##.####..#...#.....##.#...#.#.##.#..######.#...#..##...#.#...#..#........##.#.#...#.##.#.####.#...#.###.#.#....#..#..##...#......#.#.#....###...#.#.#..##.##...##.#.#######....####.##.##...#...##..##...#.#.#.##.####.###.#...####.#..#..##..#.##.#..#.###..###..##..#######..#....#.##..###.#......##.#.......###..##.#.####...#.#.#.#.####.##.#####...#..#.#..########..#.#.#....##...#.#....#####.###..#.##.#.##.#.###...#.....##.####.#.#.##.#..#.....##..#...#.###.#.#...##.##.....#..#.#..#.###.#.#.#.#.#..##.#.#.#.#.##.#...##.#.##.##.####.#...#........##.##.##...#.#######....##.###..##.##.#....#.##...#...#####..##.#...##.#.#.#..####.##..##.##...####.#..#.##...#..###...#..##.##.#...........#..#.#.#..###...#...######.#.####.##..#.###.####....####...#.##.###.#.####.........###...####.#.#.#........#..#.##.##..##.#.##.######...#...#####...#.....###.##.#.###.#.#....#.##.##.#.#.#.....#..##..##.#....#....##..#.##.####...#.####.###.......#...#....##...#.####..###.#.#.##....##.#.....#..#..#.#.##......#.#..##.##.#..##.##.##...##.#.##.#...######..##.##.#..####.#....####.....##.....###.###.#.##.#.#.#.#.....#.###..#.#...#.##.#....##..#.##.#......#####..##...###..#...#.#.#.##......##.#....#.######...#.#.#..####.#.####.##...##.#.###..#####...##....#...#..#...#..#...###.#.#.###..#.#.##.##...#.###..#...#.###.##...#.#.#.###.##.####...#....#...##.###########....##..##..########....##...###...#...####.#.##....#########....######...##......#.###.##.###...#..#...#.####....#.##...#....###.#......#....##..##.#.##..##....#..#.#####.#.#.#.##..#..#.......#.#.#.#.......#..########.##..#..##.###
..#..#####.##...###..####.#...#....#.#.#....#......###.....#.#.###..#..###.##...#....##.........###..##....#....##.#.#..###.#..##.##.##..###.#......###..######.#######.#..###.###.#....#.####..#.#..##..#..#.#.#.#.#....#.##.#...######.##.#.##.#..#.#...#.#..#......##.##.####..##.##.......##.##.##..##.#.##.#.#..###..#..##.#####..#....###..#...##.####.###.....###.....#.#........#...#.#.....#.##.#####..##.#.##.#####...##......###..##..##......###..#.#.#.###.#..##.##########..##.##.##...###.##.##.....#####.##.##...##.####.#####.#.###....#.#.#####.#.#.##........#....##.##.#...#..###..#.....##..##..#####.##......##.######..#..###...#.###.##..####.#.###.#..###.####...##.#..#...#......##.#.######.###.#..##.....#...#..#.#.#..#.#...####.#..#.......###.##..#.##.#.#.##.###..#####..#####.###.#.###.#.#...####.##.#.#######...#...#.##...#...####.#...###..#.#..#...##..#.###..#####....###..#.###.#.#####...###..###.#.###.#....##.##...#.#.#..##.#..##.#.##...##...#.##..#..#.####.##.#......#..#..##...##.##...#....##.#..###...##..####.##.........#.##..##.##.#..#..#.###.######.###..#..#.##..#.##..###..##.#......##.....##.####.####.#####.####...#.###..##.#######.#.#.###.##......#..#.##...#.#...#.#.#####.....#...####..#..#####..##.#..########...#.##...#.#..#...#..#.##...#.##..#.##...#########..####..##.##...##..#...###.#...####..##.#.#..###.....###.##.##.#####.#..####..#.#...##..#..#....#.#.###..##.#.##.####.#..######.#.#..#.#....#.###..##.#...####..####.....#.#####....##.###..#.......###..#.#...####.##...##.....########.##.....#..#####.##...######.###.##.##..#.#.##..#........#..########.#.#....#########.###..#.#.##.##.#.##.##...#..##.##..##.##..#.#..##.#.....#..##.#......#..###.##......#####.#.#...#.##.###......#....##.#..###.#.##..#.##..##..##..#....##....##.###......#.###.....###.###...##.####..#......#.....####.#.#.#.##.####.....###...#.#.##...#.#..##...###...#...#.....###..##..#...#....##.##.#..###.#.##....#.###.##..##.#.##.....##..#...##.###..##....###.#.#.###.###....##..##.##.###...#.#..
#.#####...##.#.#..##.#.#.##..#.#.########......#.##..#.####.##.#..##.#####.#...##.###..###....##.....####..##.#..#.....#...#...#.......##..####.####...##..#.#.###.###.##.###.#...##....##....#.#..#.##.#..######..#.######.##...##.###...###.###..###.#...####..#.##.##..##...#####.#.##..##..#.#.#..#..#......#.#...#...##..####.###....###...#....##.#...##....#####.#.##.###..#####....######.#.##..###..###....##....#.#####.##..###..##.....####....##..#.#.####.#####....#...##.####....######..#..#####..##.###..####...#..##.#.#...#..#.......#.##.#.....#.###..###.####.#...#.##..#.#.###...#...####.....#.####..#.#.#.#..#.####..#...#..#..#......#.#.#...#......##...#......###.#####...###.###.#..##..##.##...#...####.###.#...#.##.#.#....#...#.##.#..##.##.#...#..###..###..##.#..##.##.##.###.#.#.#.##.###....#...######..#.##...##.####.##.####.###.#.....##.###.##.#.#...#.#.###..###...#.##.##..###.##..#....#####..##.#.##.....##....##...#.##.##........##...#...##......#..#...##..........##..#.#.#.#.##.###....###....##.###..#.#.####.........#....######.##.#...##...#..##..###.#...#####...###..####......##.#.####..##.##.#.##..##.######.##.#.#....#.....######..###..#..#.#..#.##..##.#####..#.##.###..##...##.....#.#...#...##...#.#..#.........######..#..#..###.....#........##...####.#..###..#...#.#..##.##.#.####..#....##...#...#.#..#####.....#..#.#...#..#....#.#.##..#..##..###.#.#..###...#..#..#....#.....########..##..#..#.##...##..#..#.##.####..#..#####.#...###..#.....##......####....#.#.##..##..#..##..#..###.##...#..#.##.###.#.#.###.#...#.##.#...###..#.##...#.#...##..#.#.##....#.##...#..##...##.###..##.#.#.##.##.##..#...#.###.#..##..###.########.#....#.#####.#...#..#.###.####.#.#..#....###.#..###.##.#.##.#####.###.##.######.#..#..#...##....#.#.###.....#...#.####....#..##.#.#.#.#..#.#..#.#...##.......###.#...#.#.....##..#.#.#.####...###..###.#.#.##.##..#..#.......###..#....#....#.##.##.##.##.######....###.#.........##..#..##.###..###.##.##...##.###.##.##....##.###.##..#...##.####.#..#..##....#..#
..###..#.#.####.....##.###.#.####...#.###..#..####.####..###..##.####.#...#.#..##..#.#...##..####..#...##...#.#..#......#.#.#..#.#.####....#....######.#.#.#....#.####..#.....#####.#.#.#.####.###.##......#.....###..##..##...#.....##....##..##.#.#.#.##....#..#..#..#...#..##.##.##....###...#...######.#.#..#.###...##.#.###.####.##..###...#####.#....###.#####..##.#.#.###.##..##...#..#.###...#....##..#......#....####.##..####....##.##....#########.####.#..##.###..#..##.#.#..#..#.#..#...###.##..##...#..#.##.#..######..##.#.###.###..#.#...#####...##..#.#..#.#......#..#.##...###...#.###...##.#######...########..###.#.#..#..#.##...#.#...##..#..#..#.##..#.##.....#..#.##.######.#..#.#....######.#..####..###.####..##.#######.###.#.###..####.###.###.####..#.#.#.##.#########...##...#..#.###.#..##.##.#..#....#..####.#....####..##.#.#....##..#........###.#.###.##.##..###....#....#.#.####.##..#.##....##....#.####..#.####....#......##...#..#.#..#..##.#...##.#.########.#.##..#######.#......#.#.#.##..######.##.##.##.#..######..#...###....##....#.##....###.##.#.##.##..#..##.#..#.#..##.##.###..#####.##.#...#######........####..#..###.##.##....#.#..###.##.#####.##..#########.####..###..##.###..#.##........#.##.#...#.###..###.##.#.###....#####.#.#######..#...#..##.##.####..#.....####.#....#.##..#...#...#####.#.##..#.####......#..##...###.#.###.####...##.....###.###...###....#..###...#...##...#.....######.#....#####..#..##...#.###.#..##..###.#...###..###.#..#.###.#.#..#.###.#.##...#.#..#..#.#.##..#..####....#....#.##.####.##..#...##..#..#..###..##.##.#...#####..#..###.##...#.#.#.#....#.##.###.#.#.#.########.#..#.#.#...#...##....#.#..##..##...####....#.#.###.#...#..##.###...#.#######.##.##..#..#.#.#######.#..#....###..#####..#.##.#.#.##.#..#..#.####.#.#.##.###...#.##..####.#.#....#....####...##########.##..#.....###.....#..###.#..##.##..###.######...#..##..#.###.####.#...#.#.#.####.##..#..#.#####..#....#.###...#....#..##..#..#.#.#..###.#.####.#.#.#..###..#..#.#.##...###...##..#..#.##.##.##.#.
###....#.##.#.###.#.#.#.#.#.#.#.##....##.##..#...###.#....#...#.#.#...#.#.#.#.#....###.##.....#.#..#.#..#..##.#..#.#.#..#####...#.###.##.#..#.#.####.#####...#..##..#...#.####.#.####.....###..#..#.##.####....#..###...##..#.#.#.##.#.##.###.#..###.#...###.....#.###........##.#..####..#.#####..####.#...###.#..#.#..##.#..#...#..###.#.......#.#........#.#....###...###...###.#.###.#.##.#.#...####.######.####.#.....#.#..#...#.#...#......#.###.##.#..#...#...#....#.#......#.##.####..#...##.######..#.#.#..#####....####...#...####.###.#####.........##.#.#.#..#.####.##..##.#..###.#####.####.......##.#.##..#..#....###.###..#...#..#.#...##..#.#.#..##.#.#...###.####..#.###.#.#.###.##.#...#.###.####.###...#..##..#.##......######..##.....##.##.####..#.##..####...#....#..##.##.......#.######...#....#.#.###.##.#...........#...##.#.##.##.##.#....#....###..###..#####..#.#####.##.#....##...#.#..##.###.#.#...#.#.###.##..#...###.###.##...#...##..#.#..##....##.###....#.#.##.###.....###.###.###...#...###.###.##..#.#.#.#.#.#...#.#..##..##...###.#####....#..##...##....#.......#..####.#...#..##..#.######...#.###...######.##.###.###..##.#.#.#..##.##.#.#.#.#.#.##.#.###..#...###.#.#..###.#.##....#.#.......#.#...###.###...#.#.....##.####.#####.#.#.###.#####...##.#.##....##.#.#..#..###.####......##..#..###.#..#...###.##.##.#.#.#######..#.....##.##.##...#.#.##.##..#..#..###...##..#.##.##..####..##.#.##...####..#..#..#..##.###...#.##.#.##...##..#.#.#.##...###....###.....##########.....#####.###.#...###.####.##.###..#.###..##.#.##.....#..##.###....#.#.#.#...##.###.###.#.#.#.########.#...#..#.#..###.##.##..#.##.#.###..###..#...#....##.#.##......#.....#...###.##.#.#..####...#.#.##.###...###.##...#..##.##..#....#####.####.###..###.##....#######.##..########.##.##.###.#.##.##.#....###.###......#....##.#..###.###......#############..##.##.#....##.##...####.#.####.......#..##.##..##..###..#...##.###############..##.....#.###############...##.#.#.#####.##..##.##.##.####....##...#.#.#......##...#.#######..#.###
#......#.##.###.......#..##...#...##.###..#####.#.#.##.#.###....#.#...###.#.####.#####....#.##..####.###.###..#.##.#.##.#...#.....###..##..#...#.#...##..#####..####..##.......#....#..###...###.#..###.#.##.###.#...##...##.##.###..###.##.#..####..#####.#.#.#.#..#..####..###.#####.#...####.#.....#..####....##..#...###.#...##.....###...#.#..#...###..##..##...#..##.#..##..######.#####....###....#.###.#.##....#..###...#.#...#..##.##...##..#..#....###..####.##.#..#..#...####.#.....####...#......##..#...####...##...#.#.###.###.....#####.#.....#...###.####..#######.#...###.....#...#.#..#..##.####...##.#.#...#..#.#...##.#...#...##.#.##.#.#..#..###.#.#..#..#..###.##.####...#####...###.#....##....#.#..###..###.#..#.#.##...##.##.#.#..#..#..#.#....##..##.##.#..#.#.###.##.#..##.#..####.#.##...#...#######.#.##.#.#..###.##..#.....#..###..###.##....#.##.###.##..##.#.#.#####..##...#.#...###..#..##.##...#.####.#..#..####.##.##.#######.##.##.##.##.####..###.#..#.#.#.#..####.##.#....#.#.###...#..####.#.#.##..#####...##...###..#...#.###...#.#.##.....###..#.....#...##.###.###.##.#.##.##..##.##.##.#....#..#.###.#....##..##.#..#..#......#.#...#.###..###..##...#.##.#.##....#...#..#...#.#..##.#...###..####.###..#####..#.#.#.#..###.##...#..........##.###.#...#.##..#..#.#..#.#..#.##..#...#...#.#.#.##....#.....#......#.#######.###...####.##...####....#.#..##.......#......#.#.#.###..#..#..##....##.###..#...##.##.#######.#.###..#....##....##..####..###..#####.##.###...###.......#.##...#.......#.####.##.#.####..#....##.##....##.##..#.#.##.##..####.##.#....##...#..#.#.##....#....##..#...####...##.###.#..##.##.........##......#.#.#....#.##....#######.....#.#.##.###...#..##.#..###.#...####.#.#.####.#.##..#.#....#...##.....##.###....#..##.##.#.#.#..#.....#.##....#....#..#.#.#...##.###.###.#.###.########...#.##...##.######.#.#.#.####...######...#.#....#.##.#.....#########..##..###.##..#.#.###.###...##...##.#####.##..#.####.#.#.###.###..###.####..#.######.##########.#.#.#...##..#...#.##.......#.##.#.#.#..
..#.##..#....#####.#.#..##....#.#..#.###..##...####.....#..###.######.##.#..###.##...#...##....###.#...#..#####.##.#..####.##..##...##.#.#.##.#.##.##...#####.......########.#.###.#..##...#.#..##.#..#....###...#.##...#...####...#.#.###..##.###..###.#....##.#.#.#.#..###..#.##.##.###..#.#.#.###.....##...#..##.###..#.#..#.##.##..#...####..#...#..#..##.#..##..###.#####..##.##.###.#..#.#.#..##.#####......#.#...#.###.###..#.#.#.#..#.###..##...###.#.#.###...#.####.#####.#.###.#.#.#######..##..####.#...#.#.#..#..#......#.#.#.##...###.....###.##..#.##..###.#.###..####..#.####.##......#.##.####..####..###.###..#.##.##....#..#.###.##.#...#.#######....###..###..##.######..#####.###.###...#####..###.#.###.#.###..#..#.#.#..##.#.#.####.#....#..#....#..##.#.###.##.###.####.#.#######...#.....###..#....##..##.#..#####..##..#.#...###.##...######.##..##.#.###.#...#....##..#.....###..###..#...#.#...#.#.###..##..#.#.####.##.#####..#..##.#....#..#.#.#...#.##...##.###..#..##.##.#######.#.#...####...#..###.########.#.##.##.##.#####.#...#.##.#......#..##.#..#..##....###.#.#..#.......#.##.#.##.###.####..##..#####......##.#..###..###.####.#.#..###.#...##....###.##..#.#..###.###.####.########.##.##..........##..#.#.######..#.#...#.#...#...#.#.#.#.###.....###..#.##.####.#.##.##.###.##.####...#.......#...#.#..#...####.#...#....####.####....##...###..........#..##.###.##.#.##.##..###.#######.#.##.######.####.....###.#..#........##..#..#.###.#.#..#...####..#######.###..##..##.#......#.##.#.#.#.#...#####..###.###.#.#.#..#..#.##..###.#..##.....######..#.#.######..####.##.##.#.###..#..#.#####..#.##.##.###.###.##..#....#.#..####....###.#.........#...##..#.####.##.##.#..####.###....######.#...#...##........###.##....##...#####...#.#..###.##.#.....###.....###....#.###.#.#.#.######.####.#....##....##...#.##......###.#.###########...##.....####....#..#.........#.#.####.#.#.#...#.##.#.##..#.#.##....######.##.###.####..#######.....###.......##...#.#..#.#..####.#.##.#.##....##.##.#.#..##.##.###.#.###..####..#.
###...####..###..#.##.########...#.###...#.#..#.#...#########.###..###.#.#####..###.###.##..##.###...#.##.###...##.#.#...##.#.#..#.##...#.#..#....####..#...##.....##.##......##.#..#.##.#....#.......##...##..#.#.###.###...##.##..#....#..###..#.###.#.#####..###.#.###.###..##....#.###.#.#...######...##....##...#...#....#...#.####..#..#.######.#..#.#.....###.###.###.###.#.###...###..#.#....#.##...###..#..#.#.##.#.#####.####.#.#....##.####.#.###.######......#.#.#.#......#.###......###.#...########.....#.#.#####..########.#.#..#..###...######..####..##.#.#..####..##...###.##.##.#.###.#.#.#..#..#..#..####.##....###.#...##.#.#...##.#........#..#.##..#.##....##.....#.####....##..#.##.#..#..#..######.#####..##.......#..###.##....##.#####.###.......##.#......###...########..##.##.###.####....###.####.#.##...#.....###.#.###.#....#..#....##.......#.....#..##...###..#....####.#..##..#.....#....#..###.#...##.#.#.#..#.###.#.##.#.###..###.###.####.#.#.#####..#.#.###..##.##.#...#..#####..#.#..###...###...####.##....#.##...##.##..#.##......######..#.##...#......###..#.##..###.##.....#.#.##.##..####...#....#..###.#....#.##.....###.#.#.#.##.#.....#............#.#.#...##.######.#.##..#..###.#..#..###.#..#.###...##.#..#.#.####.#.#.#.#######..#####.##........####....#..###.#..#..##.##..####.#.......##..#.#.##.#####...#..####....##.#######..##.#.#.#.#.####.....##.###..##......#....#####....##..##...##...###..#.....###....##.##.#..###.#####..#..##..##.#.##...###..####.#.#.#...#..##.###.######.#..#.###...##....##...##..#.#.#..#..#.#..###.....#.#..#.#.#.##........#.#...###.#.##..#.#.#...#.#.#.###..#######..#####..#....##.......###..###..###.#...###.#####.###.#.##...#####..######....#..##..#.####....#...##.#.###....#....#.######...#..#...##..#........##..##..#..#.####..#..#.#...#.#..####.####..##.###..#.####....##..##........###.#..#######..##.##..#.######.#.##..#.######.#######..####.#...#...##..###.#.#.######..#.##.#.....###.####..###....##.#......##########.#.#.#....#...####....#..##...#.#.#
..#...###.##.#..##..###.#.#####.....#.#......#.###....#.##..#.###...##..#.#.####..#.#..#...#..#.#...#.#.............#.##......#####.###.###.##.##.#..###..##.#####.####.#..#.#..#.###.....#...#.#.#.#..##....##..#.....##..###.#####.#####...#.##..#.#....#..#####.####...####.#.#.##.#.##.#.####.#####.#.##..##.###.####...##.####..##..###.#.#.####..#...#####....###.####...#..#..#.#...#.#.#...............#.#..#...#.##..#...##..#..##...####....#.##.....######.#.#.##.#############.###########.##.#.....###...########.#.##.#..###..##..#....##.#..#..####..........######........#..#..#....####..##..##.##.#.##....#.#..#...#.#.###...#.#.....#....#.......###...#..####.#.##...#......##..####..#..###.####..#..#..#..##.####.#.##..##..#######.......##.#.#....##..###...#.####........##...###.#.#.###...#...##..#..##.##...#.##..###.#.#.#...###.##.#.....###..#.##...##.#.#...###.##..##..##.#.#.#.#..#...#.#........#.#...##.##...#..######..##...#.###.#.....##..#.#.#########.#.#.####..#.#.....#..#.#..#......##...#.#.###..#....#####..####.###....#.######....##.##..##...####.####...###..##.#...#.#..#.#...#.#......#.#.##.#..##..########..###...##.###...#.##..###......#.#.##.#.###.#.##.###.#####.....##....##...###.##.#.#.#######.#....#..###.#.#.#.#....#..####.###....##..#......#.#...###.#..#.#.#.##.#.#.#..###..#..#.##.##.###.##....#...##..#.#########.##.#.##..##...##..####..#.#...##.###..#...##..#####....##.#.#..#..#####....#.##.##.##.#.#.##.#.##.....#.#...###.#.....##.....#.#.####...#..#...###.#.#######..#..#.#.#.##.#..###.#######.###...##..##..#..#.#.......##.#..###.#.###.##...###.#....##.######..#..##..#.....###..#..#..###.###....###..#.#####.#.#...#..####.###.#.#..##....####..##.##.#.#.##...######.#####....###.###.#..#..#.#.##.#.###.##.#####.###..####.#..##..##.#.#...#.###...##.##....##..##.###......#.#.##.#####.#....####...###.#.#####....#.##.#.###.#..#.###.#.#...#..#.#....#.#..#..#.#..##.##..#..#.##.#.####..#.#..#.....#..##..###...#..##..###.....#.#..##...##...##..######..##......#.#####..#..#
..##.#.....##.##.#..#.##..#..#.#...#..##..#####...##....#.....##.#.#.#.#..#.##...#####.....###.#.##..##.##.#.....##..###..#.#.###.####...##..#...######...###.###.##.####..###.###.#####.#..####...##...###......##..#.##.#.##........#.#.#.......##..##.###...##..#....##...#.#....##....#.####..#.#.#...##..###.#....#.#..#.#..#.#...#..##.#.##.###.#.##..##.####.##..#..#..##......###.##.######..#..#######.####.##...#..###.##.##..#.#..##...#..#..#..#....#..###..##.####..##.####.##.##.###..#.#...##...#.#....#.#.#..##..##.##.#.##.....#.....#..##.#.#######.####.#.##.#########...#.#.###.#..###.#.##.##...####.....#....##.####..##...#.#.#.##..##.#.########....#.#.#........######...##.##..#....###.#...###.####..###.#..#.#.####.####.....#####.#####...#..#.#####.#.###...####.##...#.#.#..#.#.##...#####.#.##.#.#.######.#.######.##.#..#.#..#.##..#.#..##......#.###.###.#....##.#.#####.#.##.##.##..#...##.#.##.#..#.##.#.#####.....#.#..##.##.###.....##.##.#.###.#.##...#.####.##..#..#...##....#.###...#....##.#.###.##...##..#.###.##....####.##.#.###.#...#.....##.##.##.###..##.##.#.#...#..#..##..#.##.#....##..#...#......#...#....#.##...#...#######.####.#.......####.##..#..####...##..#.####.#..#..####.#..##......#.#...#..##....###.####.#.#.#..#####.##.#..##..#......###.##..####..#..#....#.#....###..##.###..###.....#.##..#....#..####.##..#...#.....#.##.#....#.#..########..##.#.###.##.#####..#.###...#....#...##.#.....#.##.###.###..#..#.......#.##.##.#.#.###.##..#..##.#.#.###..##.#..####..#...###.##...#.#.#...#.##.##..##.....#.#...#.##..###...#...##....#.#.#..##..#.########.#..##.##.##...#.#....#.########......#####....##..#.#..#..#..##..####..####...#...#....##.##......####.#..###.#...##......#..#.....#.#.##.##.##.##...#..#####...##..##...##..#..#..###....#..#.##..#...######..#...#..##..####..######....###...#..###..#.#.......#.#..#####...##...#..#..##...#####..#..###..#######..##.#.##...##....##....###..#.#..##....#.##.#..........##..#.#.##.##.##...#...#.####.#.#.#..###..##..##..#...#.....#...###
.##...#.#..##.##.#.....##.###..#.###.###..##.##..#.#####..#.#.#.#.##.##..##.######.#.....#####..#.####....#...###.#.##....###.#.#......##.#....###.##..##.####.##..#.#..#######.####.##..###..#.###.#.#.....###.#.#..##.....#...##......##.##.#####..##..#.#.#..###..#####.####.##.#######..#.###..##.###.##..#...#...#.....#.###....##.############.#..#....##.##.##.##.#...#.#..###....##.#.#.####...###..####..#..#.####..#.####.##......#...#..#..#...##.#####.#..#...#..#.###.##...#.####.#########.#..#....#..#..####...##..##...######..#..##.###.#.#.#..######..###..#.###.#.#.####.#..##.###.#.##..##...####.##........#####.####.##..##.###....#....###.####.#.#..#.....###...#..#.#.....##.######..###..##.#.#..##..#..#.##.#.##..#..#..##.##..##.#.##..#..##.....#.####.#.#..#.##.##.#.##.#.#....#.###....#...#.#..#.####...##.....#.#..#.#.#.#.#.#...#..##...#####.#..#..#...#..#..##..#..####.#.#.#..###...##.###.###.#####...####..##..###.#.###.######..#.#...#.#..#.#.#.#....#.#.##...########.##.##..##.#.#.#....#..#.###..##...###...#.##.....#..#.........##.##...#..##..##.####...##.###.##.##....######.##...#.#.####....#####.####.###..#..#..##..##.#...####.#.#..###..##.....##.......#....##.##..#..#.#.##.##....###...##..####.##.####.####.#.##..#.###.#.....##...###.###.#..#.##..#.#.##.##..#.##.##.####..##...#.#.#.####.####..#.##..#####.#..###......##.....##.###.....###...#....#..#.....##.#..#.##.##.##...#.##...###..##..#.#.#.....###..#..#.#...#..#######..#.#...#......#.....##...###.##..###.#.###..#.......###.#.#......#.##.....#..#....#...##..#.#.#.#.....#.#..#...##....##.##..###..#.#....#.#..#..#..######...##.....##.#....##.#.##.....##....##..#..##...#.#.......##.#.#...#...####....########......###.#.##..##.##.##.#....####.##.##.###.#..#.###.#..##.#..#..#..#.#####..####....#....#.......#..####.##.#.##.....###.#.#####.##.#...###.#.#....####..#.###..##.#.#.##..####........#.#...##..#.##...###.##..######..#...#..#.##.....#.#.##.#####..#....#.#.#.##.......####.##.#...#.....#.##.....#####.#...####...#.....
.#.##.#..#.##.##.#.#########..#.......###.#.#.##....##...#.#..#########..#..#.#.#.#...#.###...###.#.#.###..####.#.....##..##..#..##..####....####....#.###.##.#.#...#.#####.##..#.#...#.####......##..#....#..#.#...#.########.##.#....###.###.#.#.#...#.##.##..##.####.##....##....#..........#....#.#.....#.##.#.#...######......#...#.###.####.##..#.#..##.....##..##..#.####.#######..###...#.#....#.....####..#..###.#.####.#..#...#.#.#...##....#.##..##.#.###....##......##########.##.#.#..#..#.#.#...#.......##.##..#.###....###.#.#...#.#.###.###.#...#...##....####.###..#....#....#.#......#.....###............###.##..#.#.#.#...####....#..#####...##..##.#######....##....#######..###.##.##.#.##.###.##..#...###...######...##...#......#...#.#..#..#.#.....##.#.#......#..#..##....#.#.##..###.#....##.#.#..#...###..##...###..##.....#.#.#..##.#..#.#......#..##.#...##..###..#..........#.#.#..###.#...##.##.##.##.#...#...#..#..##..#..##.....###...#..###.###..#....##...##.#.##.#####.#.##..#.#.####.#....##.##.#.###.###..#...#...###....#.#.##...#..#######...###.....#..######..#####.#..#.....##.#....#.#..#...##.#.....##.#.##.##.#.###..#.#.##....##.###...#.###.....##....#.##.####....###..#.#..#..#..#.##.#####.#...........####...##.#...###..#.....#.#..#.....###..###....##.#..##.##.###..##.##.#.#...#.#.....##.#######......###..####....###.#.###...####.###..#..##....#..#..#....#...#.#####.#####..##..#.#..#.###.###.####.#.##..###...####......###..##...#.##...#.#...###..##.....##.##..##.##.###.#.....####..#.#..#.###.##....#..##.###....##.###.##.#..##.#.##..##..##..######.####.######.###..#.....###.##.###..##.#.#..###..##...##..#.#..#####.#.##.#...#.#..##.#......#..##...#.###...#.##.#.#....####...#..###.##...##.#..##.#####.##.####.####.##.##...##..####..#####.#.#.####..##.#.#.#.###.###..#..#####..###..####.##.#......##.#########.#.#.##.##.##....##.#.###..##..#.#.....#.....#.#..##.#......##.#.###.##.#####..##.#...#.##.##.#....##.#.#.#.######.#..##...#####.....#.###...#######..#..#.#...#.#...###.##..##.
#.#..#.#####....##...#...#.#.#.#####..##......########..##..##.#..##..##...###.##...##..#...##.#..#....###.##..#.##...###..#.##.....##.#..##.####..#....####...#...#..#.##.....#.#.#..###..#.........##.####.....#.#..#.#.####.#..###...#.##.##.#......##....#....###..###..#####.#..##.....#.#.#.#..##.#........#.#..##.......#........#...##.....#.#...###.#..#....######.#....#...##.#...#.#.##.....###.##..##.........#..#..#.##.#..##...###.#####..#.#.#..#..###.#......#.##.#....##.#.###.#.#.######..####...##...##.#..#..#.###..#..###..#####..##.##..#..##...##.###.....###.#.#.###.###.#.#.####.##...#.#..##...###..#.#..###.#...#..###..##..####....###...#.#.#.....#.#.....##..###.##...#..#..###..#.#...#.###.##..#.#..######.##.######...#..##.#...###.###...###.....##..#....###...##..###.#..#.####..####.#.####...####.#.#.#.#..###.###..##.#.##..##..#.....###..#.###...##..##.#######..##..#.###....#...#...#..#...##....#.###.....#.##.....#..#####...#..........#.#...#.###..#.##.###.#..#...##..#..##.#.###.##.##.##..#.#.#.###.....##.##.#####..###..#..#.##...#....#.##.#.######..##....#.##.#..##########.#.#..###...##.......###...#..#....#.#......#....##.###......##...#..#.#...###.###.##...###.#..#..####.##.#..###..#..#..#...###...##...###.....#.#....#.#...#.##..#.####..#.#.#####.##.#..##..####....###..#..#.####..#.#.##.##..#.##...#...###..#..######.##....##.##.#.###....#.#.###.###.##..#.....#####..#.#.#..#..#...#..#####.#.#.##....######.#.#####.#..########.###..#..#.##...###....###.##........####.###...#....##.###.#####.#.###.###.##.##.#.###.##.#####....#.....#####.#.##.#.....#.#.###.##.##..#..#...#.####..##..##.....#..####..#.##.....##...#.#####..#.....##.##....##...#.##.######......#.##...###.#.#.#.##..##.####...#...###..##..###.#.#####..#.#..###.#.###.#.###..#.##....##.##...###.##.#....#.###...#....#..##.##.#..#.....##.#..##.#.##..##..#....#.##..##..#.##...#.#..#..###..#.##..#...###.#....#..###.#.####.###.....#.##.###.######..#.###.#..#..##..####.##.#..#..##.##...###.#...##.###.##...##....##.
....#.#.###....#....###..##...#.#####.#.##.#....###...##.###....#...#..##.####..#......#.###..##.....###.##..##...#....##..##.##..###.#.##...###.#..#.#....####.##..#.#.#...#.##....##..#####.......##..#########........#...##.##.#....#...##.##.#...###...#....#..#....#.###.#.......#..#####..##.#..#.#.##.####...#.#...#..#.##..#.##..#.####..####..##.##.####.##.######..###....####...#.##.##...#..#.###.#..#..#.####.####.####..##.#..#...#.##.#.....#..##.#####.#####.#.#...#...##..#.#..###..##.###...###..##......##..#..#..##...###.#...##.####..#.#.#.....#.#.#.#..####...###.#..#...#.#.#.#.###..#.#.#.##...#.#.##.#..###.#.#...#.....#.#.###...##..###.###.....######...#..##.###....###...#.........#...#..###..####..##...#..#.#..##.###..#.#.#.##.#....#...####....##..#.###.##.###.#.....#..#.#...#..#.#.....####.#....#....##..###..#.......##.##..##..#.##.#.#..#....##.#.##.##.....##..############.#####..##.#.##...#..###....####.###...###.###...#..###.###..#..##.###..###.####..#.##.#...###...##.#####..##.#...###...#..#.#######.#.#..##.###..#.#..###..#..##.###.###...#.#.##.####.#...##..#########.##..#....#....##.#....##.#..#.#......#.####.#.#.#....#.#..#.#.#..#######.##....##.###.#.##.#..#.#.###.##.....#....#..#.#...#####.###.#.###.##.##.##...#.##...#.####..#..#.####.###.#.#.#..#.#..#...#.#.##..##...###....#...#..#..##.#.###....##....##..#####.....#.#.#...#.###.......#.###.#...###..#...#..##..####.##.....#...#.##.#.##...##.#..#....#..#.#...###...#######.##..###.#..##....##.####..##.....###...#....##....#...#.#..###.........######.#.##..######..###...#......#.#..##.##.....#.#..#...##...##..#.######.###..#.....##.####..####.#####.###..#..####.###.#.#..####..#.#....##...##.#.###...##..#.#.#..######.##.#..###.##.###...###....###.####..##..#.#####..#..#..#.#.###.##.###..##..##..#....#####..####..######.#####.#.###.#####..#..#.##...#..#..#..#.#..#.####...#..#...##...####.####.#######.#.###.##.#....###..#..#.......###.#######..#.#######...##.##..##.###.#.#######...#.#.......#....#.#.....#..#.##.
#.####..#.#.#.#.#.#.#.#...##......#....#.#.#..#..##.######.#..#...##.#...###.##...##.#.##.......#...###......#.##.#####...######.#.#####.#.#...####.##.###..##...###..#.########.#...###.....#.####..#####....#.#...#.#..#..#.###...#..#.####...##.##..##.####...###.####.##.####.#.##.#....##....#.######.#..#.#.##....###.#.#.#.#...#..##.#..........##.##.##..#....#..##...###.####..#.####...##.......#...##.####..##.#.#.##.###....###....###....##......#...###...#####.#.##..####.######.#..###...#.####......#.###.##...#...####.........##..######....#.#.##..#######....#####.####.##.#.....##..#...##..#...#.##..###..#..##..#.#.#.######..#..##.######......##......#####.########.#.....#.##.#...###.#..##.#.####..##.###..##.##....#....#.#..#..#.##.##..#.#...####..#.##...#.#..##.#....##.##...#.#..#....#..##...####.##..#.######.#######.###.#..###.####...#.#.##..#.......###.#...###....##...###..##...###.#.##....#.##.##.##.##....##.#.##.##..#...#..#..#####.#.#..####...##.#########.#.######...##...###...###.###...#.......###..###........####.#..#..##.#####..##...###..#....##..##.#.##.###..##.#..#.#..##.#..##..######.#..#....#...##....##..###.##..##..#.####..####..#.#......#.###...#.#....####.#.#.###...##.#..##.#.##..#.#.#..##.#..##..#.#.####.###.#..####.##..##.##..#####..#.##..##...#...####....##.###...#....##..#.#####.##...#.....######.#...#..#..####.#####.##...##.#.##..#...#.##...#...#.#.#..##.##.###..##.##.##.#.####.#.#..#...#.##.#.#.....##.#.....#.##.##.##..#.#.#.#...#.#..#####...#..##.#.##..#.#.....#...#..#......######.#######.#.#######...#.#...####.#.#...#####.#..##.#...#..##.#.######.###.......#..##.####..#.#..##.#..######.#####..###.###.###.###..#####.#####.#.#..#####.##.#.....###....#....#.##..##.#..#..##..#.#..#...#....#.##.##..##....#.#.#...###.#....###.##...#..##..##...##.#.#...#.#..####.####...#.......#.#...#....#...#######.#.....#......#....#.##.#...#......#..#.#...#..##.#.#..#..#..#...###.#.#..#.##.#..##..#......#.#.##.#..#.####.###............##.#...#######.##..#....#####.#
##..###..#.#......###..###.#####.###...##.#....#####....#....#....#..#...####.#.#..#.#.#########.#.###..#..#..#..##..#.#.#.#.#...#..#..###..#.#..##..####...###.##...####.####.#.#..##..###.#.#.#..#.#...#.##.....#.###...##.##.##...####..#.##..#.###########.##.#....##.###..###.#.##....#...#...#...##..#.###..#.##.#..##.########..#...###.##.##.#.#.###..##...####.....#.#..###....#.##.##..#......#..#.######..#....###...#.#...##.#..#.##......##.##..#.#.######.#..#######.####.#..###.....#..##.###.#.#.###...###.#...##..####..####.##.#.##..##..#####..#..##.#.##...#.#..##..###.#...##..##.....#.#..#.##.##...#..#.#.#.#...##..#....##..##.....#.#.##.#.....#.##..#..#.##.#.....#..######.#..#.#....#.####..###..#####...#..#..#.#..###..#.#...#..##...##.###....###...#.#.#.######..#.....######.......##.#..#..#.##..######.#.#####.#.#..##...#.#..#.###.##.#..#........#.##.###.#..#.##.##...##.#.###..#.#....##########..#..##.##.#..#.##.....##.#.#....####.##.###...##.#....#.####...###..##.....###..##...#...######.###.#.##....#..#.##.....######....#.##.####..#.##.##...........#.###....#.#.....#..#..##...#..#.#.#.#####..#..#.#######..#####.###..#..#.#...###..#.###.###.#.###..##..#.#..#.#.##...##.#...##....##..#..#####...#...#.####.#..##.#.#.##.##.#....####..#..#.##.#..#.#.##.##.#.#.......#.#..#.##.##...##...#....##.#.#.#.##..############.#...#.#####.##.####.###.#.##.#..#.######.#..#.....#.####....##.....#..##.##.##.##...#####....##.##.####..###...##...#.##.##...#.##.#####......##...#.##...#.###..##.###...#..####.#...#..######..#.###.....#.####.#...#.##.#.##.#.#...#.#######..#.#....##.......#..#.#.....##.#.#...#..#...#####...###.#...#...####.##..#.#.###.#.....#..#.#...#.#.#.##.##....##..##.##.#..#.#...#......###....#...####....###..#.#.###..#....#...###.#..###..#.####....#.####...##....#..##...##...#.###.####.###..##....#.#.#..##.##..##.###..#.##..###.##.######..##.#.##...##.#.##.###..##.#.#.######....#....#...##..##...##.##...##.####....#.....#....#..#..#........##..#.#..#.###........##...#.#..##
#####..##..###..#..#.#...###.##.....#.#...#.#.#.#.#.#..#...................##.##...#.##...#..#.#.....##...###.##.#..###..##....#.#...#....#####.##.###..####.###...##...###..#..#.#..##.#.###.....#...####....####.#.........##..#...#..#.....#.......#.##.##....#.##...##.###.#.#.#..#.##.##..###.##.#...###....#######.#....#.#.##..##.####.#..##.#.##.#...###.##...#.....##..#..#.#.##.#.#.#.###.#..#..##.###...#...###...#.#.###.#...#.#..#.#..######...#.##..#.#..#....##....#..###..#.#.#.#.#..##.##....#.##..##....#.#..##.##.....####...#..###.#######...#.#.#.#...##..##.#.....#.#.#.###..#####.#..###.#.#.###.###.####.#.#.##.#..##..####..#.#..##...###.####.###..#.####.#.##.##..##...#..#...##.....#..#........###...##.#.#.##..#...####...#.#......##.#.#..##.####.##.#..#...#.###..#.##...####.##.####.###...#..####...####.#.#...##..#..##..##.###.#####..##.#......##..#..##.#...###...##...#...#.#.######.######....#.##.#.....#..##.#.....#.#..#.#.#..##.##.###.###..#..#....#.##.#..#..##.....#.###..###.#....##...##.##..#.##.##.###..#.##....#.#.########.###.#..####.##..##.###.#....#..#..######....##.#......#.....#.####..##...#...###...#.#.#.......##.#..#.###..##..#..##...#.#.#..###..#.#..#...###....##..#.#..##.###...##..#...#.#....#.####.##.#####.####.#..##.#.##.##.#...######....#.........###.#.##.#....#.#...#.##..######..######.#..###...###..#.#...##..#..####.###.#....##.##..#...##.##.#.#.#.##.#.####.##.#.#.#...##...#.#.###.##.#.#.##..####.......#..##..#..#...#####.#....###....###..#....#....####..##..#.#.###.##.#.#..##...##.##..#.#.#####.##..####.......#.##..###.###..#..##..##..#.#.##.##..#.....#.#.#.#...#.#.#.###....#..#...###...####.##...###.####.###.####..#.###.##.#...#######.#..#..#.#...#..#.##..####.###....#.......##.#.#..#.##...#..#..##....#.#.#.#.....####..#.######.###.##.#..###....#.##..#.#.##...##.#...###..#..##.#.....##.#.#.##.##..#.##.###..##...#..#.#.#.......##.###...#.###..####...#..####..#.#.#...###.....##.#.#.#.##.......##.##.##..#....##..#.#...#..##.#...####....##.###.##....##.
..#.###.##..##...#.....#..##..##..###.#...#..##...####.##..#..#..#.#....#.#..#.#.###.##..#......#...#......##....#.#.#.#..#......####..##.##..#.###..###..#.#.#..###..#...#.....##..#.#.##...##.#.##.#...#.#.##..#.#.##.#..###.#....#....#...##..##.#..#.#.##.#....#####..###.#..#.#######.#...####..#...########.#####....#..##.##...#.....#..#####.###....#.###.#.#.####.###.#####..###.#.#...#.##....###..#.#...##.#.#.#....#.......#.#..#.#######.....######.#..#.#.###...##...#.#.#.#.#.##....#.#..##..##..###.##...####..#####.###.#.#.#######.....##.#.####.##..#...#.###...#..#####.##....##.#####..#...#..##..#..#.#.#..#...##...#.###......#..#.#..##.#.#..#..##.##.##.....#....#.#.......#######.#.###.##..#.##.##.#..#.#...##.##..#####.###.#..###.####.#...##....#....#.####.........###.#.#.....#######.#..#..#.###.####.#...#.#.#.##.....#....#..##..#....##...#.##.......##..#.#.##..#.#.###.#.#####..#.##.....#........#....##.######....#####..#.###.#......#....##.##...##.###..#.#####.#..#.####...#.####...##.#.##..#.#.....##..###.######.#...#.##.#####.###.##...#####.#.#.#..###..#.##..##.###.#.##.#..#.#....##...##...#....#.######..##.###....#####.#....##.###.......###.######.##...#.####...#.#.....####..#.####.#...###.######...###...#......#.#...##..#..#.########..#.#####...#.#...##.#.#..#..#.##..###....##....###...#..#.##..#.#.#..###.##..#.##..##.##...#...##.#..#.#.###.#..#..######..###.......##...#..#.#..##.#..#.##.#.##.#.#.#...#......##..##.#####....##.#...#.#.###.#...####....##.#.##....#..##...###.#.##..#.###..#.....##.##.#..##.#..#.##...#.#.##.##..#.#####.#.##..#########.#...#.#....#.####..#.#...##...##..#...#.#.###...#######...#.###.......#..##..#####..##..##....######.#...#.#.#.#..##.#.###.#.#...........##...#..#....#######..#.#..##.##.##.###.####.#..##.#.##....#.....##.##.####...#.###...##.##.###.#.###...#.#.####...##..##.##.#.#..#.#......#..#..#.#...#..#.##.###...###.....#...####..#..#..###..####.##.#.....####.#......#..###..####.....#.#.#.#....##.##.#.##...######.#..##.....#..#...######
#..##.##.#.##...#....#.#.#...#....##..######..##..#...#.###.#..#.##...###..#.##.#.#.#.#..#.#.#.####..#..#....#.....#.####.#....#...##.##..#####.##...###...#.####..#..#...##.#..#####..##...##..#.#......##....##..#.##.##########........#.#..#...#.##.##..###.#####..#..#.#.#..##.#######...#.#....##..##..#.#.........###.#.#..##...#.#.#...#.#.#######.###..##..#.....#.#....#.#######..#...#.##....#####.#..........###...#.#.#...###..#..##...###...##..####.#####.#.#.#.##..###.#.#.##.##...##.#...###.##.#.#.#..#.##..###.#.......####.####.......####.#.##.......#..###..#.#.#..#.#.###.#..####.#.#.#.##.#..#..#.##..##.####.........#.....####.#..##..#.#.#.##...#.#....########.#.#...#..#..#.##..####..#..##..#.##.#.##.#..##..##.####..##.##.#.#.###...##..#.##.#.##...#.##.###.###..###.#...##.###..##.#.#.#####...###..#..##...#..###..#..####.####.##....####..###..###...##...#..###..##..#.#.#......###..##.#####.....#..#..#.###.#.####..#...#.#.##.#.#....###....#..##...###.####.#.##..#..#.#.###.#....#.##..####.#.###.##..##...##...##..##..#.###.#.##.#.....#.#..#..###.#..###.###.#..##..#.########.#.#....#.#######..#.#..#.##.....##......#...###.....#..#.#.#..#.#..#####.##.#...#..###.###....#...#####.......####.#.#.#.#.....#...#####..#.###..######..###.#..###.#.#######.##.#..#.#.#.#....#..###.....#.##..##.#.....##..######..#.####.#..##.#.#......####.#.####.##...######..#..###.#..#....####...##..#.###.#.#.##...#..####.###...#####.##..#.........##....##...#..#.###..#..#...#.#####.#..#...#.#.##..#..#..##...##..#.....##.#..#.######.####..##.#.##.##.##.##.#.####..#...#.#..##.##......##.###..##..######.#..#.#####.####..#....#####.##...######..#..#####..##.##.##.#..#.#.##..#....#.#..##..#..###..##..#..#....#..##.###..#.###.#....#.........##.##..#...#.##.#.#..#..###.##.##.###.#.#.#...###.#.#..#..##....#....#.#.......#.##.##.######.##.##....#.#...#.###.######.#.##...###.#....#...#..#...#.##.####.#..###.####.#..#....##..#####.###....##.#.#.###.####.##..#..#.#...##......#####.....##...####....##.######..##.
##..#....##.#.#.##.####...##...#.##..#...##.#.##.##..#.###.####.#.#.#..##..#.#..##.##.#...######.##.###...#.#.##.##.#.#...#.#......##.#.#.#####.#.....#.#.#.#.##.....###..####..#...#.##.#..#.#.#..###..##..###...#..#.####.#..###.##..#.....#.####.#.####..######........#.....#...########...#######..#.####.#.###.##....#.#...#.##...#..#.##....##.#.##.##.#.......###..#.####.#######.#.###.#.####...###....#..#..###......######.#...##.###.#..#...#.#..#######.#..#..#.#...##..##..##....#..#......#.######..#..##.#.##..#....###.#.....###..#.##..#..#.#.#.##..#..#.....##.#....#.##...#...##...##.##.#...###..#.###..#..#.#..##..#.##..#.#..##.#....###.###.###...##.##.###.#.##..#.##..#.#.#.#...#....#.......##...#####..#....##.####.###.##...######..#.########....#..#####...#.#####.###.####.#.###...##..##.###.....#....#...#######.##..#.##.#.#####...#.#.####.##...##...####.#..####...#.#.#..#...#..####.###.###.#####..#....#.##...#.####.#.#..#...##..##..##.#.#...##..#.####..#.#.###.#..#..#.#.##.#.#####.#.###........#.##.##....#..##.#.##..#...#####.#.#####.####.###.###.##.######..###.#..#...##..##.##...#.###..#.########.#..##.#..###.###.##.###..##..#.#.###..###..#.#.#.###.#.#...##...##.#.#..#..#..##......##...#.######........#...##..#..#..#.#..##.####.#...#.#..#.##.#.###..##..######.#.#######.#.###...#...#.####....###..#.##..#...#......#..#.#####.#.#.###...######...##.#.##.####.#######...##..#.###...#..#####..###.#...#.#..#.##....#..#...#.#......##########.##..#.#..#....##.#..##..#...#..#.###.##.#..#....###....###.##.########.###.##..#..######...###...#.#..###..#.....#..#.###.##...###....#..#########...##.####.#.##..#.#.#...#.....##.##.###...#.#####..###.##...#.....###.#......#..####..#####.#######.#.#..#........#.####..#.#.###...#.##.##.#....##....#..##..#.....#.#.#.####.##..#..##.####.##..#.###.#.#.#..#...#...#.#...###.#.#...#.#.....##..#.###.#...##.##..####..#..###..##.#.#..#.#..###..###..#.#.#..#.#..####.#..###.##...##.##...##..#..#.....#..###.#####.#.####....#.#..#..##...#...#.....#.###.
.#...#.###..#...#....#.....##.####...#...##.##..##....#.#.#####..####.#.###.#.#..#.#.......#......##.#....#..###..###.##.####.###...##.####.##.##.#....#.#####..###.#...#.##.##.###...#.##.#####...#..###....###..#...#...#.#....##..#.#.#####.####..#.#.#####.#.#.#...#....##...####..##...#.##...#...###.#.#####.##...#.##....#...#.####...#...#...###....##.##...##....#...######.#.##.....#...###.#....##.#...##..#.#...##.#.##.#.##....##.##....#####....##.#.##.#....#....####....##......#.##.##....#..##...#.####.##..#....#.#.###...#.##..#...#.#.##.##..###.####.#..#.##..##..#...##.#.#...#.####.#.##.##..##.####..#..##...#.#....##.#.##..#...##...#.##.....###......###.##..#########...#..#..####.##.###.#...#.##.##..#.##.#.###..##.##.....#..#.#..##.#.#####...##..##..##....#....#.#####.#.##.....#.#......#...#..#...#####..#...##..##.#.#.##.###..##.##.#.....####.#..##.....####.#...#.####.###...#######.#..#.#.##..#....#.###..##...###.#.#.##..#..###..###...#.#...#...#..####.#..#..#.##.##....#.#..#...#..#....#.#.#..##..##.#.#..#..#####...##...#..#####.#...#.#.###.#..#.###.#....#..##.##.#..####..#..##.#....##..#.#..#.....##....##.#.##...#.....#.....#####.#....#....####.#####..#..##...#.#..#.##..##.####..#.#####.##.#.###.#.#.###.###.......#.#.###..#.#########.......####....###.....#####..###...##.#######...#...#..#.#.######.##....####.#...#.#.#..#.#..#......#..#...##......#.####..#..#...###.....#.#...######.##..##...##....#..###.##.#..#..###.#...##..##..#..#.#.#..###...#....#.....####...#....###.#####..#.#..#..#.#.#.#.#..#......###..#.#..##.#.#.##...####..#...##.#.#...##########...#..#.###.##...###....##.####...##....#.....#..#.##.#..#######.##.#....#..##.###...#.##.##..#.####..###....#.#.#.#.###...#...##..##.#...#.#.#.#..#.#.#.#..##.#...#.....####..#.#..##.#..##..##...#####....##..##..##..#.#..##.....#...##.#..#..#..##..##...#.##..###..##.##.#....#.##...##....###.##.##..####.####..###..##....##...#.....#.......#.#####.#..#.##..##.#.###.#.###.##.#..###..#.##.####.####...#...#######.###.#.###
#.#.#......#####..#..#..#..#..####.###.#.##.....#...##...#..#.#.#..#####..##.#....##..##..###.####.##....##.....#.##......##.....##.##.#####..#.#...#.###..####..#..###...###.#.#...#.##.##...#.#..######..####..####.#.#####.###...#....#.####..###.##.####..#....##.#.#.##..##...###.##.##...##..#.#.#####...###.#...###.######.#.##..#.#.#.#...####...##.#..#...##..##.####.#..#####.###.######.#.#.##......###.#####.##..#...#.##..#.##.....#...#..###...##.#.######.##.##....#.#...##...##.....#.#..###.#.#.#.#..##........###...#.#.#...#.#.##.##...##..#..#...#.#....#.##...##.#.#..#...#.####...#.#####...##..###...##.##..###...#..#..#.#.#....#.##..#.##...#.#..#...#.....#.#...#########...####..##.#####.#.#...####...###..##.#####.#.#.##.###.#.####.....#.#.##.#...#..##....##...#.##...####.###...##..#.#....#.###..####.#.##..##.#.......#.#.######.#.......###.#.#.###....#.##..##.#....#.##.###.#.##.#....##..#..##....#.#.###.###.###.##..##.#..#..######.#.#######.#####..##.#.#...###......##.#.##...##...###.##..#.##.#.##.#...#.#.#..###.#####.....###..##....#.##.#...#.#.#..#..#.#..####..##.#..#..######..#..#.#####.##.#.##..##.##.###...##.###...######.#.##...##.#.#.#.....#...##..#....##....###.##.#.##..#.###...##..####.##...#######.#.#.##...##...#.###.#....##.###.#.###..###.##..#..#.##.#.#.#.##.#.###.....###.#..#######..###....###...####.##..##.#.####.##.##..#.#....#.#####.#..#..#..####..##.#...##..###...#....#.##.#.#.#..##....###.###..#.####.##.###..#.#...#.........#.#.##..###.###..#..##.....##......######.##.#..##..###..#####......###.#.#..#..####.##.###..#.#.##..##..##...##.#...#.#.###.#..##.#......#.###...#..###..#.###...###..#..#.#..#.##.##...#.###..###.#.##.......#...#......##..#...##....##...#.##.##..#.....##.########..##.#.##.#.##..#.###.######.####...##.#.####..#...#...#..###...##.#.#..#.#..#.#.###.#.#.######.#..##.#.#..##...#.#.#...........##.#..#.##..##..#..##..#.###.##.####..#.##.####..#.#..#.#..#.##...#...##.###.#.#..#...#.##.##.#.#####.#...##..###...#...#.##....#.##.#.##.#.#.####..
##..#..#..###..#..###.#.#....#..###.##.##.######...#...##...#..##..#.###.##.#.....#.#....##.##.##...##......##.....#..##..#..#...#..#...##.##.#.##.###..#.##.#..##.#..#..##..##..#....##..#.#.....###.#.##.#.####.#.###.#######.#.#..######..#..#..###..#....##.#.##...####...#####.#.####......#..#.####.####..#..#..######..#...#.#####..#.#...##...#.....##...#.#.#.#.#..##..#.#...###...#..###.#.#..###.##....#..#.##.###..##...#.###.#.#.#..#.####..#..##.##..#.#.##.#.#..#.....#..#.###....#......##....###.....#...###...#..#.###.#.#######.#....#.###....#...#..###.##.######...##.#.#...#.###.####.....#....###...#.####.#..###.####...#.....##.##.....#..#.#..#.##.###.##.#.#..##..####.#.#.#.###....###..##.....#.##......#...#..####..###.#..#..##....########..#..###....##.#...####..#..###.##...####..#....##.##.##.#.###..#.#####.#.#####.##.######.#.#.....###.##..##.##...##.#.#.#.#..#.###..###.##....##..##.##...##......#####.##.#...##.#.###.#...#.....##...##..#.#.####...####..###..#.#..#.....#.##..#.####.#..####...##..#..##...###.####.##.##.#.####......##.####.##.##..##...###.##.####.#.##..#.###..#..###..#.##..#..##....#.#....##.#.##.#..##....###..####..#.#.#....###..#.##.#.#.###.##...##...#.#.##.#####........#.######.#...#.##.#...#############.#.....#.###..#.....#..#..#..#.#.#.####.#.###.#..#...####.#....#...####..#.....##.###..##.#.#.#..##...#..##......#..#..#####........#.##....#...#........#..#..........##.#.#..##...#.#.....#.#..##.##....###...#...#..#.#.#.##.....###.##.#....#.##.###.#.#..##..#.#..#.#..#..#.#...#.#......###.##.######....#.##.###.###....###..#.#...#####.#.#.#.###.##...#..##.##.#.....#.#.###.#...#.#..#.##.#..##.#######......##.#.#....#.#....###..####..##.#...#.....#.##....##...###...#...#.##....#...######.#......#.#.###.#..##.#.#.####.##.#.#.#..###.##.#.##.####.#.##.##.###.#..##.....#..#..##.##...##.#.###..##....#.#.#####.#.#..#.###.....#######...##...#####..#.########.###..###.###.#.....#..##.###...#.###..##...###..#..##.#.##.#.##.##.#####...#####..##.###.###..#..##..#.
#....#.###...#.#####.#.....##..###.###.....##...###.##.#.......##..#.###.####...#.......#.#.##.#.#..#..#.#.#......#.#.######.####.##..####..#.#...##.##.#.#..#.#.....#..#...#.....#..###.#..#.....#####....###.#.###..####......####...#..#.##..#..###...##.##...#..##.......#.####....#...##.....#.##.##..#..#.#.###.####.##.#.####.#.#.#..#...####.##..#.#..##.###.##....#..##....#.#.#.#..####.#...##.#....##..###..#..#...........##......####...#....####..#.#.##..##..###...#.......#...#.#..#####.#.##.##....#####.####..#..##.......###.##.##...##....###..####.#...#.##.#.###.##....#.#....##.#..#..######...##.#.###..#.##..#..##....####.#.#...#....#...#........#.#......#.#.#.#.#..#..#.##..##..###.#..###.#.#..#.#..#..####....##.###.#.##.#...####....##.#.....#.#.##..##.###.#.#....#...##.#....#..##.##.#.#..##..#..####.##.#.#..##..##...#..#.#.#.##..#......##..###.####.#.#.######...####.#.#..##.#.##.####..##.#..###.#...######......##.#.##..##..####..####..###.#.##..##.##.#####....#.##..#...#.....#.#.###.#...####..#..#....##.#.##...##....####.#...##.....##...##..##.#..####...####.....#####.###..#..##.#####.#.####......#.##..##.#.###..#..#.##.#...#.#.#..##..#.#.#####.#...####.........#.##.##...#..#####.##.#.#.####.#.#.......#.#..###....###..#..#......#.#.##.....#####.#..##...#####.###...##...#.#.............##...###.#.#...###..#...#...#.###..#####.#.##.#.#.#....#.#.###..#.#.#.#...##.##.###....#....###.#..#.#####.#...#.##.###.#.###..#..#.#.##.#..#####.##.#....##.#....###.##..##..#.#...#.#...######.#..#.....##.#####...#..###...###..#.###..####..#..#..#.##.#..##..##..####...##.#.......##.....##.......#..#.#.##...######..#.##.##.##.#.#....#...#.....##.##..#..#.####..#....##.##...#.#...###..#.##.##..###.#..##.#..###.#.....####.######.#.#..##.#.####.#.#..######.##.##..#.##........#.#..##....###.#..###..#.#..##.##.###.###...##.##.#..##..#.#......###....#....##...#.#.##....###.###..#.#........##..####....##..#.##.######.#..#..##..#.####.#...##.#.#..#####.#..##.#.#.##.#.#.#...##...#.####.#.#.#.....
#........#.#.#.###..#..##.#.######..#.#....####......##...#....#...#####...#...#.#..#####.######....######.#.##..####...#.###..#.###..###.###..##....##.#.#####.###..#..##..#.###.....#..#..#.##.###.##.#..#...##...##..########..#..#....#.#.....##..#.#.....###..###.#.##....##.#.#.###.....##...###.###.##.....#####....#..###.######.######.##..#.#..#.......#...###.#...####......#....#....##.##.###..###...##...##.#.########.....##......#.#...##..##......#.##.#.##.####..#..#...###.##...#..#...###.#.#.##.#...###..#..#..##..####.#....##.....##...#.#.#...##..#.#.###..#.#.##....#....###.#..#.##....#.#..##.####.#.#.....#.#####.#.###..##..#.##..##...##..###..#.#.#.#..#.#...####.#.####.....##.###..##.....#####..#.#..###..##...#.#..##.##.##.#..#.#...###.###.#....##.##.#..##.##.####.#..##..####...####...#..#.##..##.#.###....##.#.#.##.#..#.##...###.#.###.#.#.###.##.###....##.#..#####....#.....######.###.#..#..#....##..#.#####.#...##...#.#####...###...##...#..####......#....##.##.#...#..#####.###....###.#..#.###..#.#.###.#.....#####...##.#.##.........#..........##.##.##....#..#..###...#.#.##.#.#...#..####...#.....##...#..##.###.####..##.#.#.#...##.#.###.##..##.....#.#..#.##..##.##.##...#..#.##.#.....##..#.#....####..##..###.##..###..#.###.#.##........#..#..#...#.#.#..#..##...#..##.#.##...#.#.##...##...#.##....###.#####.###.#.#......####..####..#.....##.####......##.#####.#.####.####.#.#..#.##..#.###...#.#......###....#..#.###########..##.#..#.#.#..#..#..#......###..##..#..##.#..#.#....##.###...#...##########..#..##.#.#.#.....#.#.#.#.#...##...#.#...#.#....#.......###..#......######..#.##............#.####.....#..#..#...####..##...##.#.###.##..#.#...##.#....##.....#####..#......#.#.##....##.##.....#.#.##....#.##.#..#..#..##.#..#.###..###....#..#.##....#.###.#..####.#.##..###...#....#####.###.#.#..#...#.#####.##...####.#.#..######...##.#....#.#...##.#####....#...#.#.##.####.#.###.#........#.##.##.####..#.#.###.#####.##.#.#.####.#.##..#.#.#..##.#.##.##..#...#...#.#..##.##.##.#..#..#.####.
.#.#.#.##.##..####.....###.#..##.#.##...#.#.#.......###.#..##..##..#####.#..#...#.#....###.#...#.##.##.#...##..#.#...#.#....######...####..#.#.#....#.#.##..###.##..#######...#.#.....######...#..#..#.##...###.##..#..#..###.#.#.#...#..#..##.#.#.#.#..###..#.#####.#..###.##.#.##.#..#...###..####.####.#.......########..#....##..####.######.####..#.#.###.#.#..##..#..##.....###.#.###..#....##.#.##.##.#.#..#..#.#....#.######.#.##..#..#..###...#.##.#.#.###.#.#.#..##..##.##...#.#....#...######..#..#...#.###..#......##.#.#.###.##.#####....###..#..#....##...#.....####..##...##.###.##.###.######.#..##.#.#####.###.#.#.#...#.#..#.##..#.###.#####.####..##..##...####..####.###.#...##...#.##.#.#...##.#.##..#.####..#...##.##.##...#.###...####..#..#...#.##...#...#..#..###.#..#..##..#.###..######...#.#####.#####.#...#..##..#.#.##..##.####.##...##.#..#.###.#.##.#.#....##..####.##.#...#..#..###..#.....####.#..######.....##....#.#.##.###..#.#.####.#...#######....####...######.####...##..#.#.#.####.##.#....#.#...#.##..#...###.###.#.....##....##.####.##....##..#.######...###...#...##.#.#..###....##..###..#..#...#..###.####.....###..#####......#..#.#.##...#####..##..#..#..#....##...#.#.#.##.....##.#...##...#..#.##.########.###.##.....##.#.##.###.###...#..##..###.###.#.#..#..#.#.##..#.#..#....####.####.######..##...##.#..#.##.##.....###...####.#.##...###.###.###.####..###.#...######.##...##.####.#.....#.##...##.#..####.#.##.###..###....##..###.####..##.#..#...#.####.#....##.#.....###.#..#..#.###.....#.#####...#.......#....##....###..###.#...#.#..##...#.....###.#....#########..####..#####.##.#.#.###.##.##.#......#####.##..#..#.#..#.#.#.#...#.#..#....##.###.#.#.#..#...#......#...#..##.#.#.#..##.##..##..#######.....#.###...##...#......#...##..##.##.#..##.##..#..#.#.#..###.#...##.##.####.#..##..####.##.###...#..#.#..#.########.....###...#.#.##.#.#.####.#..#.#..#..##..###...#.....#.#........#.#.###.#####.#...#.#..#..#.#...#..#####.....#..#...###...#...#.##..#...###.....#..#...####.##.##.#####.##.##
##.####.#......#.#####..###....#..##.##..#####.#..##.#.#...#.##.#.......##.##.#...#.##.#####..##....##..#.####.##.#.##.#####.#...#...#####..####.#.#.##.##.#.#.##.##..###...####.#.####.#.....########.#..##...#..#...#.#....###.#.##...##.#.#.##...#.##.####..###..#....###.##.#.#..###..#...###..##.#.#....#..###...#.###.####..#..##.##..##...###..#.######.#.#...##.#.#..#.#..###..#.###.#..###..####..######.##..###.#.##..###.#####.##........#...#.###.###.#.##.....###.###..#.#.#......#..#######..##.###.#..#.#...#.#####.......#.#..##..#.#####.#.###.##..##...##......#.####.#.#.###.####..##.###..#...#....#.###.#.#..#...#..##.#..#..#.....#.#..###.##...#.###.#.#...####..#...#.#..#.....#.#.###..#..#######.#......#.####..####..#.##.#..#....##..###.######.#..##..##.#######.##.#...####.#.##.#.####..##..#.#...##...#..##..##........#..#....#.###...#.###..#.....#####.#.#.#.....#..#......#####.#..####..#..##.......#..#...#.....##.##.#..#.....#...####.#.###..##.###..###.##.##.######.#..#.##.#.#..#.##.#.##.##..#.#...#.###..#.#....####.#.##..##.#.#..#.#..####..##.....###...##..###..#.###..###....###...#...#.#####.#.#.#####...#.##...#...#######...#.............#.#..###.#.#...#.#......#......######..#####..###.##..#..#####...#.######...##...##.##..###.###....#..#..##.##......####...#.#.........###..#####..##..##.#.#..###.#..#.##..#.#.#.#.##........###.##.###..#.####.#..#...#####.....#.#......#.##.##..#......#...#.#.#.#.###..#.##.#.#..#...#..#.####.#.#.##......##......##....#..###....#...#.##.##..####.#..#...#.#...#..#..#....#.#.#.##.#.######...........#...##..#..##########......##.#...#..#.#..###.##..#..###...#..###...###.##.#..##..#..###..##.##..####.#.#.###...###.###..#.##.##...#.#.###.#...#.#....##...##.#.###.#..#..##.#...#.#.##.##.#...#..#..##.###..##..#.#.#..#.#.#.#...####.#####.#...##..###.....####.#..#####..#.###..#.###....#..#.##.######....#..##...##..#.#.#.#.######.#.......##...#.#..##.#.##.#.#.#..####..######.#####.##..#.#..##.#..##..#.####.####.#####.##...#.#..##.######.#.##...###..
..##.##...####..##.#..###....#.....#.##.#..#.##.#....##.#...###..##.#.#####..#.##...#####.....###...#.#.####.#.##.#.###.....#...##.#.#.#.#.#.#..#.#.....###.####.##..##.#.#...#.####.##.##..##..###..##..#....##.#####......#...#.##..##.##.##.##.##...#...#..#####.#.........##.#.#.#.##.####.##.#.#.##..#.#.#.#.#...##..#...#...###############.......###.#.....#....#...#.#.###...#.#..#..##..##.#.##...###..#..####.#...#....####.##.........#...#..##..##...###.#.##....##.###.###.#######...##..#.###.#.#..#..##.##.##...#..#.##..#..#.....##.##..#.....#.###.#######.##..####...##.######..##...##.#.###.#.##...##..#..#.#.####...#..#.#....##..####.#.#..#....##..###..#..#...#..####..##...#.#.#.##...#....#.##.#.#.###.#..#.#...#.#.#.##.#..###.#.#...###.#.#.##..####.#.#.##.#.#.#.##...#.#.#.##..#.####.#.........##.#...#.##.##....##..####.#.####....##..##.#####.#..##...##.##..#..#...###.####.###...###..###..#...##.#.#.##........#..#.#.###.###.#...###.......#..#.##.#.#..#.#..##....##..#..#.##.##.#.#.#.#....######..#.#..#.###....###..#..######..#..#..##.#.#.#.#..#.#.###.#.#....##.#..#..#####..#..###..##.#..#.#.####.#####.####...##.##...#.##....##.#..##...##.......###.#.##.#..##.#.#...##.#....####........#.#...#..###.#.#.##.#####..#.#.##.#..#.##.#.....#...#.###.#.##.#.###.#.###...##.##.#####.#......##.##..##..###.##...#.##....#...#.#..##.###.##.#..#.##..#.#.#..#..##.##.#.##..#..#..##.#.....#.#.......##...####.###.##.###.########..###.#.##.#.####..######.##...#.###..#.##..#..#..#..#.###...#.#.#...#.#.#.#.#.#.....#..##....##..#####.#...###.........#.#.###....##.##.#...#.#.#.####....###...####....#.##..#...##...#.##....##...##.........#.##..#.###.##...##.#.#.###.##...#...#...##..#####.#.#..#..#..#..####.#....#####..#.##.#.##......#..######........#.##.#...#...##..#.##.#.#.......#...##.##......##.#.######.#.#.#..####.######..#.#......#.#####.#.#.###.#######.#.#.#.###...##....#..####......######.###.....#..#.#...#.##.....###..#.###.##..####...#...#..#.#....#######..##.#####....###....#...###.....##.
#..#.##.#.#.#....##.#....##..####.###..##.##.#.#.##..##.#.#.##.###..###.#...#..####...#...##.##.#..#...#.###..##.##....#.....####....#.#...#......#.##..#.##.####..####..###..###...##....#.##.#...#.#..#......##.#...#...###....###.......##.###########..#.###..#.....#...#.##.##.##..##.##.###.##..#....#.#....#....#####.#.#.#..####.#..###.##....#....#..#####.##...#.#.#.#.#..#..######.##..#.#.#........#....##..#..#.###.#.###..####..##.#..#.##...#.#..#..#.##....##..#.#.#.##..###.#..###.##...#.###..##.##.....#.##.#.##.###.#..#....#..##..##..#.#.##..##.#.####.#.######.#..####..#.###..#.#...#.#.#..###.##...#..###.#...####.#...##..#.######.####....#.##.#.....##########.....##.....#.#...#.#....#.#.###.#.#.........#...#..##..###.####.####.#.##.#...#.##.#..#.##..##.##...#.#..###..#.###..####.#.##...####.###.##.##.#....#...###..#.#.##....#..##.##.##.#....#.#.....##.##.#...#.##.#.....#.#.#...#...#...##.###..####.##.###.#.....#.#....####.#..##...#.##.....#..##.#..#.#.#.##.#..#.#..###..##..#####....####..##.#.#.#...#.#.######.#####.##...##..##.#..###..##....#.#.##.#..#.#..##.####..#..#....##..###.###.#.###.#.#..#####.######....##...###.#...#.#####.#.###..##.#.##..#......########.#..#..####.........###.##....#....#.###.#.#...##..##..#.#.###..####.#..#.##.#.##...##.####.#...##...#...#..##.#...##....##.##.##..##.####..#..#####...###...####..#.#..#....###...###.##.#..#.#.#...#.#####...#..###......##.#.#####..#.##....#.##.#.#...######..##.####...##.#.######.#####..#.##.#........#.##.#...##.#.#...#####...#...#..####..#....##.#.#..####..#######.##.##....#.####.#.#....#...##.###.##...###..#...#.#####..#...###...######..###.#.####...#...##....###..##.#...#...#.#.##.#####.#.#...#..#..#..##..##..#......##...##.....#.#....#......#..#.###.#.##.######.#....######.#####.##.#..##..##....###....#.##..###...#.##.#.#..###.....#...#.###.##...###...###.#..##.####..#..###.##..#.##.#..#.#..#..#.##...#.##.#.#.##....#.#...#.#.##.#.#.###..#...#.....#.#.##...###..##.##.##....#.#.....###.#...####.#..##..#..###.
##..##....#.#.###..#.#.#...#..#....##.##...###...#..#.#####...#.....##.##...#....##.#.##.##.....#.##.##...##.#####.#####.....##.#..#..#.#..##....#.#..###.#....#..#..#....##.#.....#.#...###.#.#.#....#.###.###.######.##...#...#..#..##....##.#.#.##.#.##.#.....##.##.##.##.#....#..#...#.#.###.#..#.##.....#####.#..#..#..###.#..#.#.##......#..#####.##.#...##.#..####.....####.###.....#.#.#...#....#....#####.##.####.##..#..#...#....##.###.#.#.##....#..#......###.###.##...##...###..#.#......#...#.....#..##.#.###..#...##.....##.###.#..#.#.####...#.#.#.#...#.....##..#...####......##.....#.#.######...#.####...#####.....###.######.###.#.#.##...##.#..##...##.###..#..##..#.....#..#....##..#..####.###..##.#...#..#..###.#.#.###.#..##.##.....#.#.#.##..##.#.#.#.#..##..##.........##..##..#...#..#.#..##.#..####.##......##..#..#....###...######.#####...####...####..#..##.####.###.#.#.#..#.##......##.#....##....###.##.###..##.#..#...#.##.###...#....#..###...###..#.#.#....###....##.#.##.#.#.....##.....###..#.##.#.#..#.##..##.##..####..####...#.#...#.....#.#.#..#######.####.##...#####.##.#..##.#.#......###.###...#.#.##.#.#..#..##.##..#..#...#..##..#.#.####....#.##.########..#..##.##..###.#.#...#.##.############.....#.##.#..#.##.#.##....##.##.....#####..#.#.#.####....#.......##..###...#..#.#.##.###.##.####.#.#..#.#....#..#.###.#######....#.#.#.#.#.########.#.##...#..###..####.#...#.#.#..##.##.##...###..#..#.#..##.#.....##....#####...#..##..#.........###..#..#.....#....########....##..##.##.#####..##..#.####.##.####....#...#.....#.####...#.#.#.##.##.#.##..#.#.#.#.....#.#..#..#..##.###.##..#.##..#...####..#.#.##.##.##....###.##....##.#.####..#.#......##..###.###...#.#.##.....#..##.##.#.#...#..#...###..####.#...##...#.##.#.##.###.##...##.....##.##.####.#..##..##.#.....#.####..#.....##.##.##.####.####...#.##.#.#..#.###.##.#######.#.###.......#.#..##.##.##..#...#.#..#......#.##..#..#.#..#.###.###..#.#.#.##.####.###.#.##....#.###....#.#.##..#####..#.###.###..#....####.#...#...#..#.##.#..##.##.##.#.
..#.#.##.####.#..#....#..###.##.#.#.###.#.#.####...#.#..###..###....####.#..#..#..###......#..##...###.##.....#...#..##...#####..#...###.###...###.#....#####..##..####...###......#..##..#...##..###.#....#...####.#...####.#####.####.#####..##..#....##..#...#..#...##.##..######...#.....##..#..#...####...##..######..#..#.####..#.....#..#.###.........#.##..##..###......#.#.....#..##.#.###..###..#.#....##...#.#...###.#..#.##....#..###.#.#.#.###.##..#.##....####.#....#.#..#...###.##........#.....##.#..####.#####..#.###....#..###.#.#..#.......##...###..#..#......##..###..#.##...#.#...##..###...#..##########.##..##..##....##..#.##.#.#..#.####..#..#.#.#..#.####.#########..#.##.#...#####.#.#.#...#.###.####.##..#..##....##.###..#.##.#.#...#.#...##.#.#...#..####...#.#.#..#####....##.###.....##.##..#.#.####.#.#..#..##...#.....###...##.##.##..##..######.#.##.##..#..#...##......#.#.###.#.##......##.###..#..#.#.#..######...###.#...#..##.##.##.....####..#....##.........##.##..#.###..#########......#.#.#.###......##.#.#..##......#.#..#.###.#..#..###.##.##.....###.##..##.#.###.###.#..#.###..#.###.#.##.#...#.##....#####..#.####.###...######.##..#.####.#####..####..##.....#.#####........#..##.#..###.##...####.#.#...#.##...##.#..#...#.#....#.......##.#..#.#..##.#####.......##.#.#.#.##........##.##.#.##...#.#####..#..#....#.#######.######..#.###.#.##......#..####....#..##.#.#.#..##.#.####.##...##..#########.####..###.#.#####.#..#..#..##..##.###..##....#..#.#.###..##.#...####.#.#.#####...#.###.....#.##..#.###..##########.#.###.##..#.#######.##.##.###...#..#..#..##..#.##...###.....#..#..#.#.##..#......#.###...####...#.####.##.##.........#####..#.#..#..#..#...#.#...####..##...##.##.#.###.##....##...#.##.##...#...#..##...##.#.##...##.###..#.###..#.#.#...#..####.#.##..#.#.#.........##..#.##...###....#...#####...###.#.#...#.#...#.......##.#.###..#.####.....#.....##.##..##.#...#.#.##.####...#.##..#.##.##.#.##..#.####....##..####....#.##.#.#######.#..#.#..#.#...##.#.#.#.#.#...##.##.###.##..##.###
#....#..####.##..#.#.##.###..###..#.#..#..###.#..#...#...#.....##..#####.#...####...##.#..#.#.#.##..#...#...##.####.#.##..#....##..##..##..##...##.#..#......#.##.####........######..#.####.####..###...#..#..#.#.#.##.#.#.....#..#...##.##..#...#.#..#.###.##.#.##.##..###..#..#.##.##.###....#..##.##..##...#.##.##.#.####...#.##...##.#.#..#....###.#.#...##.#.#....#...#..#..######.##.#..#..##..#...###.#........####..##.....##.#.##.###...###...##..######...###...##...###.###.#.######.####.......####.##....#.###..#.##..###.####.#..#....##....#..#.#..#.#..#...#.###..####.##..#.#....###...##.........#.##..#...#####.##...##..##..#.#..##.####.##.###.###.......#..##.#.#....####...###.##.#..#.##.#.##.#.##...#..#.##.#...##.###..#..####..#.##.#.#.#....###......#..###....#.#.#...#.....#.##.#.##.#.#.##..#..###....###..#.......#...###....##.##.#.##.##.#.#...####.##..##.#...###.#..######.##...#.##.#...######..#....#.##....##..##.##.#.##..#####.###....###.###..##..##..#..#.##...####..#..#.#..###########.#..##..#.#.#..#..#.#..##....#.#.#....#.#.#....#.##.##.#..##...#.#.#.#####.#.#.#..#####.....###.##.###.#.#.######.##.#.###.###....#...#..#.........#..###..###.######.###......#....#.#####.###.##.##.#.###.#..#.#.##.####.#..........##..####.#...###.#..#.##...#######.#....##......#.....####..##...#.#.#.######.##..##...##..##.#.#####.....####..##.#.#.....###.##....##....#....#.#...####...##.......###........##...#.##....#.#...##.#.#.##.##..##..####..###.#..###...#....#.##.####.##..#...##....#####.#.#.##.###.#####.####.##...####.#..#.......##.##.#.#...##.##.##...#....#.#.#..###...##...##.#..####..##.#.#.##.#......#.#...##.#...#.##..##...#...#..###.#.##........#...#.#.###..#....#...##.##....#.#..#.#####.#.##...#.#.###..#..####.###....#..#####..######..####.###.#.........##....#####..#..#..####.##..#...##.#.#.#.##.....#.##..###.##########..######.###....##.#.###..##.#.......#####.####.#.#.##..#....###....#...#..#..#######.#...#.##.##.##.##.#..####..#..###.#.##.##..####.##.#..#.###..#.###.#.###..#
###...#....#.##.#.......#.#.###..#.#######.##...#.##......#.##...#...#.##...#...#.#.###..##.#####.##.#.##..#.#####....#..####.#####....#.##...###.#..#...######..#.###.#.####.#######..#####.##..######.####.#..###.###.........#.#.##.##.##..##..#.#....##.#.#..##..#.#.##...##.#..##..#..#..####..##.#####.##.....#.##..#..##.#.##..###...##..##..#####..##.#...##..##....###.#.###.##...##.#.#..#.#.#..#.##.#..##..#.##..##...####.#..##.....##..##.#.####..##.#.....###.##.#######.#.#....#..###..##..#####.##..#####....##.....####.#..###...#..####.#...####.##.#.#..#####.##..#..#..#......#.##..##..#...#.#.......#..##...#..#.#.####...#...#.##..#.#.#..#.......###.####.#.#...#.#...##....#.#.#.#..##.#.##.#...#..#...#.#.###.#.###.#.#.#.#.#..#.####..#...#.#...####.#..###.###.###...#.#.#.##.####.#..##..###.##.#.##...######....#.#######.####..#.#.#..#.#.#...###.##.####.#....#...#...#.....##.###..##.##.#....#.#.#...#..#.#.#.##.##.##.##.#.#..###..##.##.#..###.#.###..##.#.#.###...#####.###..#..#..##..##...###.##.#.##...#.#..##.#...#..###..###.#..#..####..######...#....##...#.#....#.....#########....#.##.#...###.#.##.......##.#...#..#..#.##.#..###.###..###.##.###......#.#..#......###.##...##.#.#...##.###...#####..#.###.###..#.##########..#....#.#...#..#.#.#.#.##..#.##.#######.#..###.#..#.....##..####.##.#.#..#....#....#.###..#####.#.#..##..#####.##...##..##..####.....###.##.#..###.#...#.##.#########.###..##..#..#.#...##.#.#..#...#.###.#.##.#...##.###..######.....#.#....#.#.#.#.#.....#....###...####.##.#...###..###.##.#.#.##......##..#..##..##...###.#.....##..#..####..#.###....#.#..##..##.##..###...........#.###..##...###...#..##..####....#.##.#..###.#.#......##.##...#.#...####..#.....#.#.###.....#..#.#.#.#.....#..#.#..#...#######.###.####.##...#.#########.#..#...##....##.###...##..#.#.#.#.##....##...#...#...###.#.#..##..#.#####..####.#.####.##..#...###....##..#.###.###....##.##.#...###.#..#.####..#####..##.#.####..#....##.#.#..##.#.#.#.##....####.##.#.####.####.##....#.......#....###.#.##...#..
#.#.###.##.#.#.#.#.#..######.###.##..#..###..##..#.#.#.#...#.#.#.#.####...#.##..#...#.#.###.##..#.###.#....#..#.###..####..#...##..#.###.#.####.#.##..##..####..##..####.##..#..#.#...####.##.#..##.####..#..#.....#...#.#..##......##..############..##..######...##.#.#.#####..#.######.#..##.#..##.#.##...#..#..#...#.#.#.##......#..#..#.#.#..##.#.#.##.#.#.#.#...###.##..#.....#.#.##.#.#.#....#.###...##..#..###.....#..##..##..#..##..#.#.##.##..###.##.#.#..#....#..###.###....#....##.#.#...####.#....###.###.#..##.##.####.###.#..#.....#.##..#..####.#.###...#......###.####.#.#.#.##...##.##.##.###..#.##.####.##...####....#.###....##.###...##.###......##.#....###.#...###..##...#.#...###...##..#.#..#...#....###....###....#...#....##.#........#.###.#....#..##.#..##.###.######.#..######..########.##.####..##.##...#.#...###...##...##...####...##.......#..#.#.##....#.#...##...#.##.##....#.#.####..####..#.##....#...##....#.########..###.#.###..#.###.##.#.#.#.#...#.#..#.###..#....#.##....##....###..####.#..#...##.####.##.#..#.#.....#.###....#...##.#..#.#.#..##...#....#...#..####.##.##.#..#..#.#..#..###.##..#.##..#.##...#..#...##...##...#.##.##..#.#...###..#..##.###.#...####.####.#....###...##..#.#.#..#....####.##..#.#######.###.##.#.#..######.......#.#..####.##..##...####...##...#.#.###.##.#...#....#..#....#...#...#..#...#.#.....#.##...###.##.#..#.#.##.#.##.......#.##.#####.#.##.#.##..##.#####.###...##.##...##.###.#.##..####.#...#...#..###.#.#.##.###..##.#..#####..#..#..#####.###...##..#.#####.#.#.##.#..#.#....#.....#.#...#..#.#.##....##..#..##..#.#######....##..#.....##.....##...##.#..#.#.####....#..#.#.###.##.#.##.####.#.#...####...##....#..##..##....#.##..#..#..#....####..#.####....#..#..#...#.#..####.##.##..#..#.######.#...##.##...#.##....#...####...####....##.#.....##..##....###.#.##......##.#..####.....#..#..#....#..##.#.#.#.#..###.###..###.#.#.##.#...############...#.#####...##..#.....#..#...##.##...#.#####..#..#..#..#####.###..#....###.#.###..###.###.####..###..#..###.#.#.....##
#..#.######...#..##.######....###..#...#..###..##.##.#..#.#..#.#...##.##.##..#.#..#.##..#....###.#...###..#.....##....#.#.###...#...########....#..##..###.#.###..#.....##.#####..##...##.#..#.#.##...#.####....##.#..#.##.##.###....##.#.###....#...####.###.###.######.###....##...#........#..####..###...#####.#.####..##...#.###.###.####.#..###....#.#..######..#...#.##..#.#..#.####.#..##.#....##.###..#.####.##...#....#..####...#...#.##..###..##.##.####....##.#.#.#.##.....####.##.#.#.#.###..##...##......#.#...##.##.#...#..##.#...#..##......#.#....####.##.##.#..##.#....#####.#...##...#.###..##.#.##.#..##.#..##.##.#...##..#.##..#.####..#......#.#.#...#...#..#...##.#####.#......##....#..##.#...###.#.#.#..#.#..#..####.###.##..#####....#....#.###.##...##.#...#...###..###..#.##.#............####.#...####..#...#.#..####.#.#..##....#.#..#..#..#.####.####..#..#...#..##..##..##.#.###..#..#.##...#####.##.#.#.#....#.####.##.##.....##.#.#..#..##.##.#..####..#.#.##.#..........#.##...######.#....#.##.#.########.##.#####.#.##.###..##..#..####.###.##.#..#...#.#####....#.....##.....#..##.#.#..##.#.#...#......##..#####.#....####.#.#..##.##.#.#.###...#####...#...##.##.#.##..#.#...###.....####.###.#.##..#..#..##...##.##..##.#.#..#..#..###.#####.#...#.#..###.##.####...###....##.#...##..#######...##.###.#..#...#...#...#...###...#.#.#.##..##.##.##.#.###.###.......#.##..###.#.#.###..##..#.###.##.#####..#.####.##.######...#.##.##..##.#.##...#.#....#.##.......##....#...##..#####.#.#####.###.#..#.##.#.####..##...#....######..#####..##....##..#.#.##.#.....#.#.#####..###...###.##..#.###...##..##...#...#.#..#.#.#.######.##.....#.#.........##..#.##.....###.####.#..#.##....##...#..##......#####.....#.###.#####.##.#.#.#..##..#..##.....#..#....#.....##.#.###.#.#..#.#..####.###.......####.#.##......#.####.##.#####.##.#.#.###..##.##.##...##..#..#.##...#.#.....#.#####.#.#.##.##.#.#....#..##########.#.#...#.#.##.#..##.....####.#.#..###.#..##...##.#.###......###..##.###.#.##.........##.#.#...##.######.#..#.###.
.##.##..#.#.#..##..##....###..####..##.##.##....#...#..##..#.#.###.###.......#####.#..###..##.##.##...########..#.##..##.....##.#.###...#.......#..####..##...#..#.#.#####.#.##..#....#..##...#.......#.##..######...#...#.#.##.#.....#.###.#.#...#..##.....#.###.......##.#.####.##..######.#...######...###..#.#.##..#.###......#...#....#.###..#.#..#.#.##.##.##.##...#.#....###..####...###..###..##.#.#..#.#.#..##..##.#.##...#............#..#..#####.#..#####..#..##..###...#.#.#####.....#.##...#.####.######.#.####.##..###..#.#..###..##.##...#..##.####..#.##.##....#.#.....##..##.#.#..#######.#.##.#....#...#....###..#.###..#..###....#..#.##.#.#...#..#.##..#.#...####.##.######.##..##.####.#.##..######.##.#.###......#..#....#.##.......######.#.#..##.###.##.#..#.####.##.##.#.#.#.######.#..###.......###.#.#.#....###...###..##...###.##.##.###...#.#.#.##..####.#...###.##.##.##.##..#..##.#........###..##..#.##..#..#..#.#.##########.....#..#.#..####..###.#.#.#..#....##.#.#.#########..#.#.###.#.#...########..###....##.##..#.#.###.#######.##....#.##.###..#.#.####..##.##..##...####..#..#.#....###...#.#..#.##..###.###..#.#..#.#..#.#.#..#..#...##.###.###.#.#..####.##...###.#.##.###..#..#####..#.###..##...#.#.#.######.#.##...#.#.##.##...###....#.#.#...##..##.#.#..#.....##.##.###.##........###..#...##.#...##..#..####....###.#.#.#....##.#.#.#.##.#.#.#.....#.#..#......#....#...##.##..#...####........#...#..##...###...##..###..####..###......#.#..##...#....#.#.....#.##...#...##.####.####....####...#..#.####.#....##.##..#..#...#...#.#.##...##..##..#.#....#.####.##..##...##.#....#.#.#.##...##.#########...##.#.#.#..#.#.###..#.#.###...##......#.###.##.#.####..#.###.##..##...###..##.##.####...##...#..#.##.####..#..##...##..##...#.#..###..#.#.###.#.#.......#.##.#.#####..#.###.#.##.########.####.##...###....##.#..###.##.#....###....#..#..##.###.#.#.#.##.##.#.#.#.....###.#..##..###.#...#...##..#...#.##...#.#...##.#..#.#.##.####.###.#.#.#.#..#.###.###...#.##..#....##.#..#.##.#.....#....#..##..#.#..#...###
..##.##.####....####.......####.###...#.##....#.####.#..###..##.#.#..##..##.######..##...#####.##....##.###......#####.##....##..##..##.#.##.......#..#...##.#.##..###.##.....#..#.###...##...###.##.##..#..##.######...##..##...#.##...##.###.#...#.########....######.#.#####...####.#######.#..###..##..#...######.##...#.###.#.#..###.#...###..##....##....###.#.#.##..###..##..#...##.......#...#....#..#.#.##...#..##.#.#.#.##...###...#...#.#..####.#..##.#..#..#..##..###.#.#.####.###....#.#..#.##..#..##..#..###.####.###.#.###########.#####....#..######.###.....#..#.##.#....####.###..#..#...#..#######.#..#...........###.#.########..#...##..###..#######.#.##...#..##...##..#......#..###.##.##.#.#...##...#..######.#..###.#.#.##....##...#.###.##..#......#.###...#.#.##..##.#.###.#...#....##.####..#####..###.##..##...#.##..##....###....#..#.##.#.#....#.#######.#.......######..#....#.....#.####.#..##......#.....#.##.##....##..#.#...#.........#.#...#..##....#...#..##...#......#......##.#.####...##.#..#..###.####...#.##..##.##.#.#.#...#..#.#.###...#.#....##.#.####.#.##...#.##....#....#...##.#.###..#.#.#.#.#..#.#.####....#.##..#.######.#####.##...##.##...##.#.##...###.##.#.#.##...#.##.####.#####.##.#.#.#...#.#..##..#.##.##.#####.####.#.#.#.##.#####.##..#.........##..##....###..#....###....##..#######.#....#.###....#####..#..#..#.#.#...##.#.#.#.###.##.#...#.#####...####...#...#####..##....##...#.##.#####....#.##.##.####.#..#..#..#.###.#..#..###.#.#.#..#.##....##......#.##.##..###..#...##.##..####.##.###.###..##....#.#.##.##..#.##.##..##.##...#.#...#..#..####.#..###.#.#....#..#.#.####.###.##..##.#...##.####..#.#..####..####.##......#.##...#.#...#.#.#.#...######..#.#.##..#..###.##..#..####.####.#.#..#..####.....####..##..###.#...#.####.#.##.#..#.##.#...#.....#.#....###..##...##...#.##.####..#.#..##..#.##...###.#.#.####.###...##.##......#..##.#.######.###.#..##..###.##..###..#.#..#..#..####.##..#####...#.#...##.###.#####.#.#...##.##.###...###....#..##.#.######.#..###...####....#.#.##..####.
#....#.#..##..###.##..#..####..#.##.##...#.......#..#####......##..#....#....#.##.###..###.#####.#.##...####.###.....###..#...###.##.##..##.##..##...##.#....##...##.#....####....#...#....#.#.#.#.##....#..##.#.#.##..#.###.#...##..##.##.#..########...####.###.#..#####.#..#...#.####..###.#...#....###.#...#.#.#.....##.#.##...#####..####.#.####.#..#..#####...##...#####..#.####.....####..#.#..#.##...###.###..#.#######.#..#.####....##...#..#...#.#####..#.#...##.#.##.#####.##.#......###....##...#.###.###.####..####...###....###.#.##........#.#.#..####.#.......#..#..#..#...#....##.##.##.##.#...#..##..#..#.#.#.##.#.###.#.#..#..#...#.#.##...###....###.#....#.......##.#.#..#........####..#.##.##.##.####..###...###.##.##.#..####....#####....#...##..#..##.##...#.....#..#.#.##..#..##...#..##..##.##.##.#.##.#......####.#..#.#.###.####..#.#.##.#..##.#......#..#...#.####.#...###..##..#..#..#.###.....######.#.......##..###..#.#...#.#.####.##..#..#########.##.#.###.####.#.##..#.....#.##.###...#..#.#..####...#.##..###......##...#.##.###..#....#...#.##.###.####.##..##.##..####...###..##....####.#....#.##.####.##..#.#..#...#.#..#.#.##..##.#.#...#####..#.##.#..##.#.##.#.##.###.#.###.#.#.####.#...#..##..#.#.....#...#..##.#....##.#...#.##...#.###...#.##.##..#.#..#..#..#..#.#.#.#..##.#.####..##.#..#.##.......#...#..#......#.#..##....##.#####..#..#.#.....###..#.##.....#.#.#......####....#..##..#.###...#...#.######...###.#.###.####..###.#.##...##..#.####.#####.##..##..###.#.#..#....####..#.#......###...###.##.######.##.###.####.##..##....###.#.#######...#.##.#...........#.##.#....#..#.#.#####.###.######.##.#..####......#..#.####.#.#.###.##..##.###.##..###..##.#.#.##########.#.#.###.#..##..##....#..#..####.#.#...###...#...##.#..##..###.#.##....#..##...#..###.#.#....###.###.#..###.##....#.##.#..#.####.##.........####..#####.#.#...###....#..#....##...#..###.#.#.###.#.##.##.##.#..#...#.#.#.#.#.#...#####.#...#....#######.....#....##...#.#.###..##.#.####.##...#..###.##.....#.#.##.##..####...#...##.##
##.....###.#.#...#.##.#.###...#..#......##..######.#####...##.######.#..#...##.......#.##..##.#.......#########...#....#.#..###.#...#....##..#.##....###..###..#.#.#....#.#.##.#.##.#..##..#.#.##......#.#..####.#..####.#.########..###..#..#####..#..###...#...#..####..#.#..####.#.#.##..###...#.#..##.#..##...#.#..#..##..#..#.#.##.#.#...#..######..##...#...#.#.##.#.#...###..#.........##..####..#.#######..########.#.#..#.###.#..#.##..##.....#..#..#..##.#...##.########.#.##.#...##...##..##.##.###.#..###.#..#.#.#.#....##.##..#..####.....##...#.#..#.#.....###...##.##.#.###....###..###..##...###.#...#.####..#..#....#.#..#....#.#.#....##.#...#..##..####.###.##.##.##.##..###.#..##...#..##....#.#....#.#.##..#.#.##.#######.....#..##....#..#...#####...#.####.#...#...#####..#....###.#..#...#...#..#.##.###..#.#..##.#.###...#.##.##.##.##.##..#..#...#.#.#.##....####..####.###..#.#...#....###.##.#.#..#.#..#...##..####.#.#.########.####...#...######...#####..#.#..##...#######..#...###..###...##.##.###.###.#...##...#######.#..#.####.#.#..#.####..#.#.#.##.#......##.##.######......##..#.####.#.#####.##.#...#..#####.#...#######...#.....####...###..#...#..#.#...#...#...#.##......#.#....#...#.#.##..##.#.#.####..#####..##.#.####..#.#####..###..#..###.####......#.#..###..##......##.###..##.#.#..#......####.##......#...##.##.#.#.#.###.....#....#...#..#...##.####...##.#.##.#.#.#.....##..####...######.##.##..#.#..#.##.##.###.#..#.#.####.#...#.##...##.##..##.##.#.#..##..####.#.#.#.#..####...####..#.#####.##.#...##.#...##.###..##.######..##....##..##...##..#.......#....##.#####..#.####..#..#######.....###..#..####.#..##.##...#.###..#.....#.#####.##..##.#..#.#.........#..#...##.##.#.###...#.#.####.#..####...#.#####..#..##...#..#.#.#.#..#..#..####.#.##.#.#..#...###..##..####....#.#.##..#..#...###...###.#.#######.#..###..##..#####...#..##..#.###..#.###...#.#..##.....#.#.###..####...#...####.#...##...##............#####..#.###....##..##.#.#.....#.##..###.#...#########.#######..###.##.#..##...#.###.##..#
#.###...#.##....###.#....##..#######...#...###.#..#...##.#........###.##.#.#...#..###.#.#.##.##.##.#..##.....#...####.##...#...#.#..#..###.##........######.#.##.#####...#.##...##.###.##.#.###.###.#.#..#.##.##..#..#......#..##..##.#..#..#.#.####.#.##........########......###.#..##.#...##...##..#..##.###.#.##..##.#....##..####.##....###.###.##.#..#.#....##.#.###.###....#.###..#..#..#.####.#..#..#.#.#....####......#.#####........#...####..#..###.#..##.#####.#####.#.##..#....#.###..#######..#.##.###........###.##.#.##.##.###..##...##.####..#.......######..#.###.....#...#####...#.#...##...#.####..#....##....#.#...##.#.###.####...##..##.############.#...#.#..####....#.........##.#.###..#.......##..#.#...#.#...#..#...###..##.##.#..#..####....###.##......####.#.#.#.....##...#..##...#.#...#####...###.#.####.#.##.###.####.....#...###....##..#####......#.###..####..##.##.###.#...##.#..#..###.###.#....#.#..#..###.###.##..##.#.#.#.#.####.....#..#...#...#.####...##.#.#....#.##.##..#..##.#...##...#..####.......##.##.#####..#....#.#...###.##.##..#..#.######..#.####..#.##...#..##.##.....#.##..###.#.#.#..###.#####....##.#.##..##..###...###....#.#..###.##.##..#..#..#############..##..#####.####.#.####....#...####.###...#....##.#.##.##...#.#..###...#.#.#..#..#.##....##.#...#..#.#....########.##..####.##..#..#..#.#.....#..#.#.######.#.#...#..#.#..##.#..#.##.#.##.#...#......##.#.#.#.#...#...##..#.#..#...#....#####.#.........#.###.###.#...##.#.#..###..###.#.##.#....##....#.##.#.#..#######...#.####.##.#.#.....#...#.#..##.#....#.#......###....#.#...#.#.#..#..##.......##..##.######..#.#.######....###.#.##.#.#..#...#..........#.####.....#####.###...###........#.#...#.###...##..##..###.##.#.......####.#....####.#...#####...#.####....##########..####.#..##.###...###..##...#..#.##....####..##.#####.##.#...#....##.#..##.##.#..###..##.####.#..#.#....##..##...#..#.....#...#...#.##.###..#...#...#..#.#.#.#...##.###.##..#.#.#....###..#...#.#.#..##....#####.#####.#..#...#.####.#.#....##.#...#..####.#.#
....##...#..#.#.......###.##...##....#.###.#..##..#.#.##...###.#.#.#.#.#..#.##.#...###....##..###..#.#.#.#.######.#######.###...#.....##...###...###.####.#..#......#.#.###...##......#.##.##...#.....#..###.#..........#...##.#..####.#.####.##...#...#.#..#.#....#.##.##....###..#.#.######.#.##.#.###.#....#####...........#..#.#####...#...#..#....###....#...#.####.....#....#.##..##.######...##....##..#.##.#####...#.##..####..#.##.##.##.#.#..###.#.###..##..##.#..##..#..###.......#..........#.##..##..#...#.##...##.#.####..#..##..##....#.##...#.......##..#..#..#.#####.##...##..#######.##..##..##...#.#.#####.#...##.##.#..###..#..##....#.#.#..#....#.#.#...#..#..##.##.###...#...##.#..###.##...##..#.....####....#..###.#....##.#..##.###.#.##.#..##.#..#.########.#.###..#.###..##.#..#...##..###.#.##...##.#..###.#.#####...###.###.#.#.##..##.....#...######..#..##.####...#####...####.#####.##.##.###..##.#..#...##.#........#..##.#.##.#.#..#####.###...#.#....#......####.##.#.##..#.#..#.#....###...#.....#.##.##.##....#...#.#.##.#.#####..#.#.###...#...#.######..##.#..##.#.....#..#..#..#..########.#....##.....#...#...####..##..###.####....#.##....######...##.#..###...#.##.##.#.#.##.#....#.##.###....#..####....##...#...######.#..####..#.#..#..#####..#####..###..#.##..####.##.#.#.###.#...##.##.#.###.##.....##...#...#..#.#..###..#.##..#.#.####...#...#..#.#..#.####.#...#.#..##..#..####.#.#.###..#..##....#####..#....####.#.#.....#..##...#..######.......####.##...###.#..#.##.#..#..##...###.#.##...#.#..#..###..###########...##.#...#...##..##..#.##.##.#.##.###.##..#.......#.#..#.#.##..#...###..#.#...#..#####.#.....#..####.#.#....#...##.#.#...##.........#.###.#.###...#.##..##....#..#.#.##..###..###.#.##.#..##..##..##.....#..####......##...##.##.##..#..##.#..#....##...###..##.##.....####.#.....#.##...........###..####.###..##...#..#..###....#####.#.#...#.#..##.##..#.#..##.#..#..##.#.#.####.###....#....#####...#..#########.#....##..#.####.#...#.####.#.#..##..#...##..##.##.#.#####..##.####..#..##.#..#
#.#...##.#..##....####.#######..#..#.#.#.#.#...##.####..##.#..#####..#...#####.###..###.#....##..####..##.#......#..#####.#.#.#..###....###.#..#####....##.....#.#...#.##...#.##..#.#.#.#.##....##..####.##..####..#...#.####..#..###.####.#.#.#.#.##.##..#.##.#...##.#.#.#...####.####..###.####.#..##...#..####.......#.#.###..##..##.#......#.#.##.##...###.##.###...#..#.#..###..#.#.#.#.....##.##....##.#..#.#.#.##.#.#..###...###.#.#.#.##.....####.##..########....#..######..#...###.#..##.#...##....##.#..#..#..##....#.#...#.#.##.#.###.#..#..#..######..##...#...###....#..#.#..#.##..#.#.#.#..#.##.###.#....##.#...##.....#...#.###.##.##.##.#.#...#.##.##..##..#..#...########..###...#.....##.####.##.#.##..###.....###.###..###...##..##.#...#####..#....##.#####...###..#..###.#..###..#.###..#.######.####..##.###..#.##...####..##..#...##.#.#.####.#.####..###.##...##.##...#######..######.#.#####.#.##..##.....#......#..#####.#.###...###...##########.#..#.#####.##.#####..##..#.#..#####......#...#..#####...##.#.#.##..#...#.###...#.#.#.####.#.#..#..##...#...#..#.######.##....######.#####.###.###.######.##.###..#..####......#.....#..#..##.##.##.#..#...#..#.#..#.##.#.#.....###..###..#.###....#.#####.##.....#...####.###.######....#.###..##.#..#.#...#..###.#.#..#.##.#..##...##.#.##.#..##...#######...##.######.#...#.####.....####..##.#####.#..#.#....###.#.#....#####..###....#.##.##........#.#.#..#...##...##...#...#.######.#####.##....##.#.##..####.##.#...#.##.#...#.#.#..#..#.#..####.##..#...#.#...#.#.########....#.##...###......##.######.###.#.#.#.####.##..#...###........#..#.#.#####.#.....#..##.#.##.#.##.###.....#..#....##.####.###...#......#.###.#####..######.##.###.###..#..##.#.#.##..####....###..#.#..###.#.##..##.#.#.......######.#.#.#.#.##.#....#..##.##.#...###.#.#######.##....####...###.###.##.##.#.##.#.#.##...#.##.#....###.##.###.##....###..#####.#.#.#.###.#...#..#....###..#.###...#####.##..##.#.#.##.##...#...#.#.#####..#.####.....#.#.........##.#...#..##.##..##..##.....#...#.###..###.#..#
.##.##.##.#.##.###...#..##....#..#.#.....####.##......#..##...#####.##.....##......#..###.##...#####...#.##.#.#.#..#.#...#.####..##.#...####.#.#..##...#####.#..#.....#.#..##..##.##.#..#...#.#.##..##.#.##.####..#####.##..#.###..##..#.##.###..#...###.##..##..#....#.#####.#.###...###..#...#.##...###.#....#.#.....##...#.#..#..####...###.#.##..#.#.####.#.###.####..###...#.###..##..##.#..#.##.###.##.#.#...##..###.......#..#..###.##..#..###.#..#....##.....###..##.####...#.######.#..#.#.#.#.#.#.#...#..#...#.....###.#....#......#.....#..##...##.#.....######....#.#...#..#.###.#.###.#.##.##....#..#.#.######....#..#...##..#####.#...####.##....#.#.##.#.#.##..###....###.#.#.#...##.#.#####..#.##.#.....####..##.#..##.#####....###.###.##.##.#...######.####.#.#.#.####.#.#..#....#####..##......#...##.####..##..#.#.#.......###..#...##.#...##..#.#.##...#...#.....#.#..#..####...###..###.......#.#####.#..#..##.####..##.##..#.###.##.#####.###.#.######.####.##...###.#.##.###..###...##.#.#....#.###...#.##...#..#.....#...#.#.......###..#.##..##..#.#.#..#.#.##..#....##.#..#####....##....##..#...######...#....#.##..####...#..#.##.#....#...#.#.#.#...#.#..##...#.##.#.#....#.####.##.###..#.#..#..#....##.#.....#..######...#.#.##...#..#..#.#..##...#..##...#.#.#.##.#...###.#........##..##.###.##.#..#..#.#.#####..##.#.#..#...##.#####.####.##.#######....####......####...##....######.#.####......#.....##.#.##.#..##..#...#.########..#####..###.#..###....###..##..##.##.#.##..#..#..#.##.#..##.##......##.#.......###.##.#.#.##.#.#..#...#.###....#.##..##...####....###.####.##.#..#.#.#.#.#.#..#....#..####.##....#..#.##....#...##..#.####.#..#....####......#....###..#.#####.#.##.##.#..###.##..###.##..#.##.#.#..##..####..#.###...#..##.#.#.####.##.....####.####.###.####.##..##...####...#...#.##..##.###...#.###...###.#...##.#.##.#.#...#...##.....#.##.#.##.........#.##.##.##.##..#.###..##.#.########.##..###..#.##.#..##.####..#..##.#..#.#....##..#.#..#....#.###.#.#########.#.##..##.#.##########.##...##.#..#...#.#.###
##.#...##.#..#..#.....#.#.##..#........#.....#.##..####.#.#.....###...##.##.###..##.....#..###...####..###.#...##.##.###.#.....#..#....#.##...#...#.#####...##.###...##.#..##.#.###......##...#..#..##..#####....#..#.#..#....#########.##.#.#.......#.###.#..####.##...##...#.##.##..##.##...#..###.###.#####....####....##...###.#.#...##.######.#.##.#.####.###....#.......#.##..#....##.#..#..##.###......#.#..#.##...##....#####.#.....####...####..#.....##.##...#.##.....##...##..#.#....#..#.#...#...#.##.#..#.##.###..#.##.####...###..#.###..#.#..####.##.####..##.####..#.#......##.#..##..#...#.#.#...###.#....##.#....###.#.##..######...##.###...#...###.#.#....#####..#......#..#.#.....#.#..###...#.##.###.#..#.###.#.##.##.#.#####.######..###....##.#.#.#..#..#####......#####...####...#####.##..##.#..#..#.#.##.#####...#..#.####.#..#.###.#########..#....####..###..#.###..#..####.##..####..#.#.##.#....#..##.#.##.##..##.#.##...##..###.###...##...#.#.#.##..#.#..#..##.####.###..##.##..##.###.##..##.#.###.###.#.##.##..#..##......##.##...##..###.##...#....###....#...###..###.#####....#..#..#..#...##.##...#...#....#######..#..#...###..##..##....#.##..##...#.#......##.....#.##......#.##.##..#.###.#####..###.#.#.####...###.##.#.####.#.##.##.###########..#...####.##...##..##.###.#.###...###########.#..#.##....#..#.##.#.#.#####..###.##.###.#.##.###..#..#.#.#######.###..#...###...#..###.#####.###.##...#.##........###.#.###.#....#..##.##.###..#.#..#..##..##.#####.......#........#.#.#.##.#.###.#.#.#...###.#...##..#..##.##....###.#.....#...##..#####.###...#...#..#.#.###..##.#.##....##.#.##...##...###.####.#..##..###........##..#.########.####..###....#######.##....##.##.#####.#.##.#.##...#.#####..#.#..#.....##..##..#.#..#..#.#..##..#...##.##.#######...##....#.#..#####....#.##.#......##.#.....#.....#.#.#..#..#####.#.......#...#..##....#########.#..##..##.#..##.##..#..#..##...#..###...#..#......#...##....#....#.###.#.....###..#.#.#.###..###.#....###.#.#.#..##....###.#..##.###..####..#.#.#.##.####...##
...######.#..#.#...##...##..##.#.##.#.####..#..##.#...##....#.#......###....##.#...#.#..#####..#.#.##.####.#.#####.#.#...###..###.#.###....#.....##.###..#..#.......#...####.#.###..#.#...##....#.#..#.####.#####......#.####..####.###..##..#####.##.##.#.#.####.###.###.##..##.#.##.#..#......##.#..#.##..#....##.#.#.####..###.##..#...#...#..##.#..#....#.#...##.##.###..##.#####..#.###.#####.##...###..######..##..#..#..#....###.#.#.#.#.##..#.#..#####.#..###..#####..####.#..##.##.....#..#.###.#....#....#...##...#.###..........#.#.###..###.....#..#######.#.#..##.##.#..#..##..#..#.........#...###..##.###..#.#...##.##.##.##.#.#...#...##..###.#.#..#......####....###.##..#...##...#..####..##.####.####.##.#.###....####.####..#####..#.....###....#.#....##..####.#.####.#.#..###..#.##..###..###.####..###..#######..####.###.#..###..#..####.#.##.##.#......##......#.#.#.####.###.#......#..###.#.##.#.##.##.#..#..#.#..#####....#.###..##...###.#.####..#####...##....##..#.#......####...#.##..#..#......#..##.##..#.##..########....##....##..##.##......#.####..#.#......#..#####.#.#...#..###.##...#.##.##..#######..#...##.#..#######..#..#####.####..##.#####..#.#####.#..##.##.########.#.##.#.##.##.##..#.#####.####......#..#.#.##.......###.##.#.##.####.#.#....#..###..#..#.####..###.......####..##.#.###..#####.#....###..#.#..####.#.#...####..#..###.##..##.#.###.#.###.##....##.##..####....###...##..#######.##..##..####...#####.#..##.###..###...#.####.###.#..#.##..#......###...#..#########..#......#####..##..#...#.##...#.##...#.#.#.###..#..###...#......###.###..##.#.....#..####.#..##..#...#.#..#..##.....#..#####.#..###...#.##..........##.##..#######.#..#.#.####..#..###..##.#..#..####.#.###..##...##..##.#.####.#.##...#.##..#.#.#..##..#.##.#..#####.......#..#.##....####...##.#.#...#.####...#.#..#..#...#.#........#..#.#.###.######.##....#..#.#####.##..####..#.#..#.....##..###.#....#...##....#..#..........##..#.##..#.#.#########.###.########..####..#..##.###.###..##.#..#.#.####..##..#..#.##.##...#.##.###
.#.#######..###..###.####.#####..#.#.####.##.#######.#..#..###.#.#..###...#.....#..##....#.##........#...#..#..##.###.#...#......#.##.......###......###.##....#....########.#...#...#..##.#.#.###.###..###..#..#.#.......#.#.#.##.##..####.#.....#.#...##..#..###...##.##.#...##..###.#.......##.#..###.###.#.....#...##....###..###..##.#..#.##.##.##.###.###..#....#......#...##.####.......#.#....#.#..#.##.#.#.##.##...#.##.###......#.###.#.#.##...#..##.##.#..#.....##...#.#.#..####.#.####....#..###.#.###..##.###.##.###..#.......##.###.####...#.#...##..###.##.##..#..#.#.###..#.##.#.##....#.#.#..#.#...#.##.#.###.########.#...#.###..#......#.#.##.#..#.#..#..#####.#..###.#....#.....##.###.#.....####..#..#.#....#.#.##.#..#.##.###..#.##...####..##..#....#..#.#...#..##..##.##.#.##..#..#....###.#######.#.##.##..#####.#####..####..#.##.#...#..##.##.#..#.##.###..#......#.#.....###.####.#.##.##.##...##....#..#####.####..#####...##.#..#...#.##...###......##..####..#.#.###..#####....#.######...#.###......#.#.##..#######.##.##.#..##...#..#...#..##.#.#.....#....###.##........#..###.#.##..#..#.#.#..####.#......#...###...#.#...##....#.##.#.#..#..####..#.#.#..#..#..#.#.##..#.#...###.####...####.#.#..#..#.###..#.##....##.....#......###.##.####.##.#.#.#..###.#..#...#.#.##.##....#.#####.....##.....#.#...#..#.##.....#######.#.##....##.##...###...#.###...#....##....##..##...####.#........#.#..#....#...#.#.#.#.##..##....####.#.#.##.#..##...#.##.#..###....#.#.....#.#..#...#.##........#.#..#..#...#...#.###....#..#....####.#...#.########.....##.#####.#.##...##.#..#...##.#.#.###.#.#..###.###..#.#...###.###.#.#...#.#..#.#.###..#####.####..####.#.###.#.#.....#####..#......####...##.#...##..#..###.##.#........#.#...####..##..#.####.#.##..####..#...#.#####..#..###...##.....#.##..###.#####..#..#.###.#....##.###.##.#########...####.##...###..##.##..##..#.#.#......#.###.#.###..#...##.##..##.#.##.###.#..#.#....#.##.##..#...##..####.####.#...#...#..#.##..#..#..####...##.##..#.##.#####..##..#.###.....#...###.#..##
.....#...#.#......#...###...###........#.#.##....#...##..####.....#.....#....####..#..##.#.#..#.###..#..#######.#.##.##....###..##.#.####.#.#.###.#.#.###.##.#...#.##.....#..#..####..##..##....#.#..##..##...##..###.#.#..#.#.##...#........#..#..######...##.####...##.#.#..#.#.#.#..#..#...##.####..#..#.##...#...#.###.#.#..##.#.##.#####.######..#..#.##..#..#.........#.####....##....#.....#..#..#.#...#.#..#.#...#.##..###.#..#.......#.##..#########...#.#..#.##.##..#...#########.########.#..#...#.#.##.#.#.#..##..#..#####....##..######.#.##..#..#.##.##.....##...#.###.###...###...##.####.#....#.#.####....#.##..#.###..#..###.##..###..##..#.###...#.#...#.#..##.#..#..#.#.#..#..####.###..#..##.#..###.####.##...#..#...##.#####.#.#.##.#.#.#..##.#.###...###.#..##..#..###..#..#.#..##.#.....#..#.#.##.#.##....#...#.#...#..#.####.#..#####...##.....##..#.##...####..##.##.#..##...#.#..#######.#.#####.#.#...#.#..#.#.#####...#.##.#.##...#####.#.###..#.####.#.###...###.##..###..#.#..#.#######.###..#.#.#...###...###.#####.##.#..#.#....###...##.##.#....##.#......#..#.#.#.#.#...#...##.#.#....#.##..#.#..####.#.##.######..........#...#..##..#.#.#..#.#.#.###....#.#..###..##..###..#..##...#.####....##.##.#####.#.#.#.....#.##.#..#####..##..#..#.##..#..##..##.###......####.......####.##.###....##..###.###....#.##.####.####......##.##..#....#...#....#.#......####....#....##.###..##.#.#..###....###..#######.###....##.###.#.#..#...####....###.##.##...###....#.....###...#.....##...###.....##....#.##.##.###....#..###.......##.###.#.##..#####...##.#######......#....#.##.####........#..#####..#....##.###.#####.#.#...#.#...#...###.#....##..##..#.#....#...###.#.#..######.#....##.......##.#...###.#..##..#.#.#.##......#.##...#.#.#.#..###.####....###.###.#..##..##..##.#..######..##.#.......##.#.#....##.##..##.#.#..#...##.###..#.#..#.#.#.###..#.##.......##..#..####.#.#.#..###.####.##...#.#.##....#...###.##.#.##.#..####.#..#.#...#.##.###...#.....#..##.#.#..#..##..##..#..........#####..#.#.########.###...###.#.##..
...#.#.##.###..#..##.....#.#..#.....#...#..##.#.#...#.#.#.#....###.####..#.#.##......###.#..#.###.#.#..####.##.#.#..##...#####.##..#..##..###.#...##..##.###.......###....####.#.#..#######.#.##...#.##.#..###...###.##.#.###.####.....#...###....#.....#..#.##.#..##..###..#.......###..##.###.##..#..#.##...#.#..###.####..#.#..#.#####.#####.#.##.###..##..#.######.##..#.####.#..#..##.##...##..##..##...##..##.##...####...##.....#####....#....#..####.###..##..#######.#...#...#....#.#..#.#####..###.....##...#.###.#.##.######.#.#####.....#..#####.#..#..#......##..#..###...#....#.##########..#..##..#...#..#..###....##.##...####.#....##.##.#.#.#.##...###..#....#####..#.#.....##..#......#..#..####.#.#..###..#..#...#.##.####.####.##..###.##..##..#.#.##.##.##..#.#...#.#####.####.......#......#....#...#.#..#.#.###.###..####..##..##........##.####.....####..#.#.##..####.#....####.##..##.##...#..###...#.........#.##...#..##..#.#...#.###..#..#.######.#.#.#..##....###.#....#.##.#..#.########...#.#..##...#..###..##....#..####..#..#..#..#....#..##...####..#.#######..#####.#.....##..##.#..#....#.#.#....#.#.#....#...###..#.##...#.#...##.##.#.####......####...##.....###.....#...#.#.#...#.#..#...#....##..#####..##.#.#.#.####..#....#.##..####...#.#.#..###.##.###...#.#.##.###.##.#.#...####.##..##.....#.#..###.##.#..#.#..#.##.....#####.##..#..###..#.....#.###...###.#####.#..#.####...##....##.######.###...#.###..#.##....#..#.####.#.##..#...##...##....##.#.#.#####..##.#.......#...##.##....##...#....###.....#.###.#.#....#.##.##.##..#..####....#.####..##.#...#.##..#.#..#..#...######..##..##.#..#.##..#.#...##.##...##.#####.###....####.#.###.##...#.###..#.##...##.###.....#.#..##.####.#....#.#.#.#.##.#...#.####.#.##.#.####.##.##.##.#.#.....#....#..###.###.##.#.#..#.#..######..##.#.#...##..#.#.#.........###.#####.##.##.##.##.#.##.#..##..#..##...#.#....#..#.#..###.#..#.##...#.##...#...###....#..##.#...####.#####.######.......#.#.##.#.##...#.#..##...##...###..##..###.###.#............#.###.....###..#..####
....#.##..####..###.#.#.#..###..#...#....#...#...#..####....####.......##.#..#.##.....###...####.###.###.##..#####..........####.#.#..###....###.#......####.....###.#####.##.##..#.#.###..#..#####.##...##..#.#.#.#.###.###..#....####...####..####.##.####.#.##....#..###..#.#.#.#..#.####......###.####...#.#.#.####...#.###...##...###....#.#..#####.#####...#.####.#.##.#..#..##.########...##.#######.###.####..###.......##....##....###.#####.#..#...##...#.#.###.###.####..####..#......###.###...##.##....#.####.......#####.##.#####.#.#.#..#..#.##..#...#.##.#.###....#.###.#.#####.#......##.##..#...#.#.#.##.#.##.###....#.####......#......#..####...#...#.####.###.#.....#..#.##.#.#..########...#..#.###...#....#.#..###....#...##.##.#...###.#...#..#.#..##.#..##.#...##..###.#####.#..#....#...###.#.##.#.....#####..#...#..#.##.##.#..##.#..#.#.##.#.#..###.#.#..#.#.##.##.....###.#.##..#.###...##..#..##..##...##.#.##..#..#..#...#..#..###.######..#####.#..#...#...##.#.#....##..#....##.##.##..##..##.######.#..#..##..#...#..###.#.##..##.###.###..##..#..##...#..#.#.#.####..##..#...##..##..##.##.##..#.##..#..#.#.###.###.###.##.#...###....####.#....#...###...###.###..#....#....#..#..##......#..#.####....###.#........##.#.##...##..####...#...#.##....#....#..#..#...###.####...##...##.#.##.#.#....#..#.....#######......#....##.....#.#....#..#..##.#..###.....####.#.##.#..#.####.#...#.###...###..####.####.#####..##....###.###.#.##...###.##...#.#.#.##..#####.##..#..#.##.###..#.##.##.#.#..#.#.##.##........#.##.##..#....##.##.##..#.##..#.#..#....##.#.###....#.##.#####.#..######....#.#.##.####.##.###.#.####..#........#...#.##.....#.##..#....#.##...##.###....#.#.#.####.#.#.##...########.....#.#.###...#.#..##.#.####.#..##.####.##.....###....#.###.......#.....#.......##..##..#.#.###.#...#..#..###..#.##..##....#####..#...##.##.##.##..#..#...#.#....####........#.#.#.#....#...##..###...#...#..#.#...##.#..##..##...#.##..##.###..#.####.####..##....#.#.#..#.###.#.##...##..#......##.##....##.###.#.####....#####.#
.###...#.....###..##...#..#...####...##.#.#.#####..###..###.#.#.#.....##...#.#...#...####.#..##....##.##..#..#.#.#......#.#.#.#######.#.###..#...##..#..#....#.##.#.##.#.#.##.#...#...#..#.#######..###.....##.#.#.#..#...#..#.#.#..###.####.#...#..#.##.##..##..###.###.###.#.####....###.##.#...#.###.#####...##.#.###.#..#....#####.....#.##.##.#.#..##...#.###...###..#.##..#.####.....##...#.##.#..#.#..##.#..###...##..#.#.#...#..####.####...##..#.....#.##.#....#.#.##....#...##.##..#..#.#..##.#.#...#.##..##..#..#.##...#....##...##.....###.#..###...##..#......####..###.#...#.###.######..##.#...#...#.#..#.#...###.#.#.#####...##...#..#.#.#..######.######..##.#..#..#..#.###.##..#.####...####..#..#....##..#####....##.#..#.....#...#####.##.#.#..#..#.####.#.#.#........####.......####..#.##..#...#.#...##.#.#..##.#...#.##.##.###.#..#..#.#.#.......#.........####....###.#.###.##..##.#..##..########.###.###..#.###..###.#..#.#########...###.#.###.....###..##...#...##.#..##....#..#.####.##.#..##.##...#....#.#####..##.###.##.#...#.###.#.######..##..#.#..#.####.#####.##.##.........##.#...#...##.##....#.###.##.######.#..#..#.#.#...##....##.#..#.#..#.#..##.###.#..##.##.###...#....##.#........#######.#.###.##.....####...#.#.#..##.##....#....#..#..#.#...#.#..........###.#....###.#.#.##...#.#####.####.#..#.##.####...#.##.....#..###...#.###..######.###...#.##.#.#.####...###.#..##..#.....#.##..#..#......#####.##..##.#####.......######.##.##...#..###..##...#.#..########..##....##.####.##....#.##...####.##..#####....##...#.###.#.###.......###..##..#.#..##....##.#...##....#.....##..#...#.##.##.###....##...#.##.#.#..####.###...######....##.....##...###.#.##.####....#.##....#.#...###.#..#.#....####...##......#..##..###.######.##.#.##..#......#.#.##.#.#.....#.....#...#..##.#...###..###.#.......#.####..#..##.###.#.#.####......##..##..#...##..##.##.#....##.#....###.#....#..#.######.###..#.###..##..###.###..#####.......##.##......##..#######..#...####.#...##..##..##..#.##...####..####..#..#####..##.#..##..#
##...###..####.####.########.#..###...#..###..#####...#..###.#.##..##....#.##..#.###...#.......#....##.#..###.#.######.#.#..#.#...###...#.#.#####.#.#....####....#.###...###....####.#..#..##...###.#.##.#.#.#.###.###.#.#....##....##...##..####......####.#.#.#...#.#..####.......#.#..#.#.#.#.###.#.....####..##..###.#......#.#.#####...####..##.##......#.#..#.##..###..#..#..###.#.###.#..##.##.#.##......#......#....##.###...###...##.#.###..#.#.###.#....##.#.#.....##.#....#...###..#.###.#####..#.##.#.#.###..###....##.#...#.#.....###..##.##..#..#...###.###..###.###...##.......#.##.##.####...#..##.##.##..##.....#....#...#....########..#.#..####.#####.##.......#....####.#..###...##.....###.###.##..##.###.##..###.###.....#.#...####..#...#.##.##.#..#.##..#..####.##..#..#...##.#.......##.###..#....##.######...##.####.#........##..#..#.##....###..#.##..#.###.#.#..##.#..#####.##.......#...####.##.#####...#..##....#..####..#.......####.#.####..###.##.##..#..#.###.##..##..#...#####..#.##..#..###.#..#.##.......#..#.####.....#.#..#..##.########.####...#..#.#.#..#.#.##.#.##..#.##.#..######.#..#.##.....#.#.##...#.####....##.##...#.##.##.#.###.#.###..##.......#.###.#.###.###....#..##......####.##.##....#..#.##.#.#.##.....#.#..#.#####.#.#.#.#.##...#.##..#..#######.......#...###.#.#........#####..###.#...###.####.##...###.####.....####..#..#.###..#.#.#....#....#.###.#..##....##.#...#..###.#...###.##.##.#.#.##.#.##..#..##...##...#..####..#.#..#.#....#.......#.##..##.###..#.######.#.###.###.#.##..###.#....##.#.###...#####...#.##..##...##....#####...#####.....#.###.##..#...###..#.#..#.##..#..##.#.#...#....##..##..##...######.#.#.##...##....##.###..#.....#.#..#####.....##.....####.#...#.##.....#...#.#.#.#.#..##.#.####.#....#.......#....####....#.##.##.#..#.##.#..#.###.#.##.#...#......#####.###.##.#....##.###...#..##.#.##...#.#...#....##....###.##.#...#..##...####.##.........#.#.#...##...##..#.#.....#.##.#.##.#.#..#..##.#.###.#..#.#.##..##.##...####.##.....###.###.####.##.##..#...#.##...##.##.#.
..#..#.#..##..######...#.#.###....###..#.#..#..###.#....##.##.#.....##.###.##...##.####.##.##.#####.#..##.####..#.....#.....#..####..#.##...##..##.#.##.###...####.#.#....##...####..##.....###.#.....##.##.#....##.##.#...###..#.#.###.####..##.#..#...#..#...##.#####..####.#.#.###.######..#.#####....#.....#.#....##....#.....#..##....##.#.###.######..#.##..#.#.#..#####..#..##.#.###..###..#..#####...########.#..#.###.##.#.#.#..##..#...#.#..###....##...#.##.##.##.####..#.#.##.#...###..###.####...##..####....##.###...#..#.#..#...#.###..###.#..#.#.##...###....##..#.#..#.###.#...#.#....#.#...#.####.....#..#..###...##...###.#.#.##.#...#.....#.#.#####...###.#.##.##.##.#....#.......#.##..#.#.##..#.#.#...#....##.....##...##.##...##..#..###....#...########...#.###.#.####..###..#####..##.#..#...#.####..##..#..#..########...#..#.#.#.####..#..#....######.#...#.##..#...###..##...#.#.#.....#..#.####...#.#...########..#...#.##.#..#.######.##...#..###.#.....##....####..#.....#.#....#####.#...#.#..#.##.#####.#..#.#.#..#.#..#.#.###.#.#####.###..##.##.##...#....#.#..#...##.###.#.###....#..#..##.###.#...#...##.######.###.#....#..###.#.#...#.#.......#..#..###.##...##.##.#.#...#..#..#.###.##.##...#..##########..##.#....##....#.#.#..##..#.#.###.#####.#.##..#.#.##.#.#.###.##..#.#....#...####.##..#..##.....#..##..#.....##..#####.#.###..##...#.#.#.##.....#..#..#........####.#.#..#..#.#.#...##.#..###..#.#.....##...#.#.#..#.#.#######....##.##.#.....###..###.###.#...#.#.#..###.##.###.#.#.###..###...#..#.##.##.#..####...###.#..##.##.#..##....#.......#...##...##.##.##.#.######...#.#.#...###.....#.#.#.#...#.#..##.####..####..##.##..#.#.#..###.##.#.#.....#.######..###.#...#.#.#....#..#.#.##..##..###..###.###....######.#.#..#..#.##....#..#.##.....#......##......####.#..#.....####.##....#.#....##.#.#.##......#...#.###.###.##.##..#.#.......#.#..###.####.#.......#.##.#.##.####..####.###.###..##.#...#.#.############.#..######.#.#.#..#.##..#.#....##....##.#...###.###..#.#..#..#...#.########.#..##.#.#...##..#..
#..#...#...#.#.##.#.#...##.#####..##.#....#####..######.....#.#....###.##..#.....##..#...##.#...##....#.......##.##.##.#.#####..##.....#..##....#....#...##.#.###..###....#####.###.#...#...###.#..##.#.##.##....#.#..#.#.......#.#.##..#.#####.#.##.##.###..##.#.#...##.#####.#.#.###.###.......#.######.##..####..###.#.#...#..#...##....###.##..##.##..#..#.######.####.##.##.#..#.###.#.....#.#.##.##.##.####..###....#######.###....##.##..##...###.#..#.#####..#.#.#.........###......###....#...###.##.##..#..#..#.##.#.###.###.#.###.#.......#...#...##.##..#..#####...#...#.#.#.#...####.####.###.#.#.####.#.#.......##.#...##.##.##.#..#.#..######......#..##.#...##..##.###...#..###..##.#.#..#########.#.#####...####...#.#..###...##..######..#...#.##..#...##.#..#...#..##.....#..###..#..#.#.#..#..#..###.#.#.#.###..#####.....#...####.####...#.#...#.#..###..###.##.######..##.#...##....##..#....#####...##.#.#.#.##.##.##.#####..####.##.#..##.....#...#..#.##...###...#.####..#..#..##.#.#......#.#....#..###.#####....###.....##......#..##.##.#..#.##...#####.#.#.....#######...#.##...##.#.#####.##.#...###...#.###..#..##.#..##.##.#...#.##.#.......####..#.#..#.....#.##.#.###...##...#..#.#..#.####..#######..####..#.##..#.#.#....####.##.....###...#....#.#.###.#.#..##..###.#..##..####.#...#.#.......#####.#...#.....###..#.#.#.###......##...####.......#..###..##.#..#####.##.#####..#..#..#...##...##.#.#.##....##...##.###.####...#.....##.#..#.##...####.##.##.#######..#....#....#......#.###..####.#...#..#...#..###..#.##...#.#....##.....#...#.####.#####..#..#.#.##.#.#...##..###..##.##.##...#####.####.####..#####.#.#..##..#....#...###.##...##..##..#.#.#.......#.##.#.#.#.###.###.###..##.#.#..##..#.#.##...#.#..##.#..##.######..###..##.###.#..#..##.##.#.##.##.#...##.##.##.########...##...###..#.###....##..#..##.##......#..###.#.#..####..#...##..#...#...#.##.##.##.#..#..#..##.####.##..##.#..#.#####....##.#..#.###.#.###..#.#...#.####...##...#..#.###.#.#.##.#......##..##..###.......#.##...#####.##..#..#.#.#..##...#
.#.##....#.#.#..#.#.#...#.#.###.....#.........#...#..#.#.#..#..###..#..##...#.#..#.#..###.##..#..#######..#..#.#.###..#.###.#####.#.#.....#####....##.#.#.###...#..#..#...##.####.####.##.##..#.####..#.#.###...###......####.#...##..###.###...##...#.#.##.#.######...##.....###.###...#.#.#.##..#.#.#..#.#...###.#.#...###.##.#..###....##.##..###..###.#.##.###......#...#...######.#.##.##.##.....###.#.#.###......##....###...#...#...#######..###.###..##.#.#.#.#.#..###.##....#.#..##.#.###..#..#.##..#...##..###.######...#..#.##.#.#.#.###.#.#######.#...#.#..#.#####.####.###.###..#...####.###.#.#.###.#.#.##.####.##.###..#.####...#..##.#..#.###...######..###..##..#..#..####.#..##..###..#.##...##.#.#..##...#.#.#####.##...###.#.#####.######...#.#.#####.#.#...#.#.#....##..##.#..###...#...#......##..#.##..#..#....####.##...####...#.#.####.#.######.###.#....#..#.##..######...###..###.##.##.#...##.#.##.#####..#.#..###.#.....##.###.##.#....#..##..#....#.#...###......##..#.#..####...##.#.......#..###...#.......######....##....##.#.#.#.#.##..#..####.#..###..#.#...##.#...###.#########...####....##..####..#.#...##....#.#...#.##.##..#.#.#.#..###..######.#.#....#..#....#.......#####.###..#.#..#...#.#.....#.#.....####.#...#...#...#.##...##.####.#..#..##.#####.#.#....##..###.#.#..#..##..#######..##.#.#..#.#.##......##.##.###.###.....####.#..#....#.#.#....#.......#.#..#...##.#.#.#.......###.######.#...#..##.....####...######.###..#.######...#.#..#......##...##.#.#.#..#..#......###...#.#.##.#.#......###...##.#.##..#.#.##.##...##.###.........###...#....#...##.#.##.#.#..#.#.#.####..#.#####....#.#..#.#.##.#..##.##..#..#.#.##...#####...###..#..########.#..#.###..#.#.#.###..#.##....#.##...####.#..#....#..###.####.#..##.####..#.#..#.###.##.##.#....#.#.###.##...##.#...#.#.##.#####.##...#.###...#..#.###...######.##.#..#.#####.....#....#....###..#.###.#.#.#.##...##....#...#...###...#.#..#.##...##..##..#...#.#.#...#...#..#..##.####.#.#...#..#.#.#..#.......######......#.#..##.#..##########.###.####.###.#....
.#####..#.####..##...#.##..#..#...###...............#.##.#....##..#...##....#...##.##.#..####..#..##.......######......##...#..##.###.###..##.##..###.....#..###.##..##.....##.#.#..##.##.....###....#.#..####...#..###.#.#....###..#.#...#.#.#...#...#....#..##..#..#.#.###.#....###.#..#.##..###..#..#.#.#####.#...#..#.#...###.#.##..#.###.#.#..##.##.......#..#.#.#.#..##.####..#.#..#.#....##.#.#####.#..#..##.###.#.#.##.#.#.#..#.##...#####.###...##..#.#.#....######...###.#..#.##.#.#.######..###.#..##.###.#####..###.#.#..##.#...#..#..#.##.#.#....#.#.......#.###.#.#.#####.##.#####.#####.#..#..##....####..###.#######.##.#..#...#######..##.#..###...#.##..##...#...#.###...###.#####..##..##...##...#.#..#...#######...#.#..##.##.#..##.#....##.##.#.##.#.####..#.##.#.##..####..###.####..#.##.#..#....##.#.####.##.#.#####.##...##.###.#.#..#####...###.###.##.##..#.#.#..#####..##.#.##.###.....#.#...###.#.....#.##.##.##....##.#.....##.####.#...#..#..#.#..##..#..##.#....#.#.#....#.##............###...#####.###.##.#.###..##...#...#..###.#...#.#.######.##.####..######..#####...#..##.#.##..#..#....##.##.....#..####..#.#.##.#.###..##.....####.#.##.#..##.#..#.##..#..##.#.####.####...#..#..####.......#..##.#...##.##.##.##..#.#...####.#..#........#...#.#....###.#...#.#.#...#..#..........####.##.#.##.##....###.##..#.#.#.###.###..#.#.....##.#.#...#.##.#######..####..##.##.##.##.####..##.#.###......###..#...#.#.#.#######.#.#...#.##.##.#.###.#####..##...#...###...##..##.#.###.##...###.##.#.###...#.##.#.#..###.##...#...##....#.....##...##..#.#...#...#..#.##.#.#..#.#.......#.###.##..#.....#.##.#...#.#...##..#.#.#.....##.#.######..##..##......##..#.###........###..##.#.#...#.###.#..##.#.#.##...#.#.#####.#......#..###..###..###..###..#.#####.#.##.##.#.###....##.....#.#.###..#..###..###.##.##.#.#####.#.....#..###.##...##......##..##.##.#.....##.#.#.####...#..##.###.#.....##.....##..####....####.##...#..#..###.#..#.#.#...##.#####...#..#..#...#.#...##..##########....##..##...#..#...#.#.##..##.......####.#.#.
..###.########.##.##.#.##.###..#..##...#.###..##.#.....##.#####.#.####..##.#.#...#....##.#.###.#.#.####..##.............#.#...#.#.......#.##.#.###....#####.#..#..#..#.#..#....#.##.##..#....#..#..##...#.#.#.#####.#.#.###..#.#.##..#.###...###.#.#..#...#.###......#.#.#....###..##..####..###.##.#.#.#..##..####.######.####.#...#...............#.######.##.#.###.###...###.#.#....#.#.....##.#.#.#..#.###.#.#.##..#...#.#.#.#....###..#.#..###.###..#.##.#..##.#..##.########.##.#.#...##..#.....####.##.....##.#...###.#.#.##..#####....#..###...##.#.#.##....#.#####....#.##...##.##....#..#.######.#..###..#...##.#..#.#.###...#..#....#..####..##.#.#.#.#..##...#.###.###..###.#..###.##..#.####.#.##.###....#...##.#..##..#..####.#.#.###..##...####.#....#.#....#.#...#.######..#...#.###...##....#.#.##...#...####.#..###.#...####.###..#.##.####.###.....####..#####.#..#.#.#..###..#.###..#.#....#.#.#...#.####.####.####..###....#.####.......#.......#.#..#.##.#.##...##.##...#..##...#.###....###.##.#.#.#.###.#.#....##.#....####..###...##...#.##.#.###...#.#..###.##..#.#.##......###...##......#.#.#...##.##..#..###....#...#.#.###.####.###.#.#.#.#..#.#......##.##...#.#..##......#.###.#.####.###...##.#..#..###.#.##.###.#....#......#.#....###..###.#.#...#..#.###.##.#......###...#.###....##.#...##.#..#..##.###.##.#.##.#.#..####.#.######.#.###...####.#..###.###.#.#.####.#.....##.##.#.#..#.#.#.#.##.#.#....##.......#...########.###.#..#####..#....##.#.#####.##.#...#####..#..#....#.#..........#.##....#...###.##..###..##...###..###...####..#.#......##.#########.###...#.##..#....#.....#.##.###.#...#.##....#.##.#.#######.########.###.#.#.#.#.....#...#..##.####....###..####.....##...#.###...#..##...###.#.#..###.#.##########..###..#####.##.######.##..#.#.###....###.#.#..##.#.####.###..##.#####..#..#...###.###.#...####.......##.#..###....#....#.#####.##..###..#....###..####..#......##.##.####...#.####.##.#..........####.##....#.......##.#..#......#.##.#.#####.##...#.##.#.#..#.##.#...#....#..###.##.###...##.#..#..#
...##...#.###..##.#...##..##.#####.########...##.##.###.###..#.######.#...##.#...###..#.#.###....###.#...#...##....##...#####..#.##..##.#....###.#...#..#.....###..##.#.##.#.#....#.###..##.#.####.###....##..##..##..#..#..#..#######...#.#....#.#.#...###.####...##..#..#######...#.#.#.#..#...##.#...######.#####.##..##.#.#..#####.#####....###.###.##.##...##.#.##.##.####..#..#.....###...#.##.....##...#.###.#..#...#.#.#.##.#......#..##.#...##....####.#.####.##..##..###..#.##.....##....###.#........#.####.###.##..#####..##..#.##.##..####....#.#.#.#.#.##.###.....##.##.###.####..##.##.##..#####.###.#.....#####..##...####..##..###...#######.###...##.#....###.#.##.#....##..###..##...##..#...##.####.###.##.#.#.##.####.#.#..##...#.####.##..#..##.#..#..##.#.....####..#..#.##.##.....#.##.###.#..###.#...#..#.####..#.#######.###...#..#.#..##......#.#.###.#..#.#.##.##.#######.###.#..#.####.##..#...##.####.#...#...###....#.##.....#...#.#.####..#####.#.##.###..#######.#.#####....#...#...#.#...###.##.#.#..##...#..#.#.#.#....#..#...#.####..#...#.#.#...##.#.####..##......#......##..#.#.#.###.####.#..###.#...#######.#.###..####.#....###....#.#.##.##..##..########..#.#...#.##..#.#####.##.######...##.##..#....####.#.##...........##....##.###.##.###.##.....##..##.#..#.#...........#.##..###...###.######.#######.#..###.#..#.#....####.#####.#...##......#.#.##.#.##..####.#.....#.#######..#.#......####.#.###...#..###..##..###.#...#.###.###.##.#...######..#....##..###....####.###.##....##...##.#.###..##...##...##..#.#######...#.#####.#.#....##.#.....######.##.#..#..####..##.##...##.##.###..#........#..#..#.##..#.#.###.#....####...##...#.##.####.#..##..#.....##.###.##...#.#.##......##..#..##.....###.##.#.###.##.#..#####..##.#...##....#...#.....######.##..#...#...#.#.#.##.#...##....##..#.####...#.#..##.#.##.#.#..#.....#...#..#.#.##.###.#...#.##....##....####..##.##..##.###.#.###.###.####...##..##.#.#.#.#########.#....##.###..#####.##.####...#.....####..#.#...#..####....####...##...#######.####..##...#
..#...###.#...#.#.###..###..#..#..###...#.##..#...##..#.#.....#..###.#.###.#..#.###...#.#.#..##.#..##..##.......#...#.###..#...#...##..##.##....##.#..#.#..#####.##..#.#.........#.#...##.##.##...##.#..###......####.#..#.#####..##..#.#...#.#.....#..###.#####..##.#.....#.#.##.##...##..#####.##.###.##.##.#####..##.###########....#.#.##...##.##..#.#....#####.####..#######.##...##.###.......#.###..#......##..######.###.###.#.#..###...#.##.#..##.#...###...###..#####..........#.#.###.###.##.#..##..##.#...#....####...#.....##.......###.#.#...#.###.##.#.#..#...#.#..##.#.###.##.#####.....###..#.#...##...##...#.#.##.##...###..#..##.......#...#..#.#...#....##.##..#.#...#######..#..#..#..#.#.#...####....#..#.#.##....##.#.#.#.##.##......#...####.###.#.#....###.####.#.##..#..##.#..##..##..#...###...##.#....###...#....#.#..#.#.#....##.#####..###...#..##.#.#..#.#.#.#.###.#.#.#..#.#.##.#.##.####....##.#...#....#.#.#.#...##..#.##....#.###..##..#.#.######.#.#...#..#...###..#..#.#..#########..####.##.......#...##...#...#..##...##.##...#.####....#.#.#.#.....#.#...##.#.#.....####..###.#.#.#....#.#..#..#.#...#.##.#....#.#.#.##..#..#.###..###.#.###..##.#.#..##.##..#..#.#....#...###..#...#.##..##.#...##.#.#...###..#.#.#.####.###.#.#####.##.##.#.#..#.....#..#...####....###...###.##...##.###.#.##..###....####.#####.#..#...##.#.#...###....#####.###..#.#.#.######.#...#.#.#.###...#.#...##..#.....####......#..###..##.......#.##.##..####.....######.#..##...##.#...#...#....###.#.###...##.#...#...#..#..#.#####.##...##..#.#...####....#####..#..#.##########.###.#..###.#.######.#........####...######...###.##.####..#.#####.#....######.#..##.....#.##..###..#..#.#.#......#.###....##..##.#.##.####..###.#.#.#.###..##.####.#..##..#..###.#..####.###.#.#...##.#.###....#..##.#....##.###.....#..#....#.#...####.##.#...#.#####.##.....#..###..#####.###.#####......#...#.....#...#.####.#.##.##....####.#.#.##..#.##....#.#..#..#.#..#.###.#.###.#..#..#.#.#.##....#####....#......##.###..###.#....###.#.##..##..###....##.##
...#.#.....#.#########..##..##.###.#.#...####.#...#.#.###.###..#.#.#..##.......##..#...#.##.#.#.#...##.#....#.#........##..#..##.##.#.#..######.##.###..#..#..#....#.#.####.#.#.#..#.#.....#..###.#.##...#####..##..#.#..#....##...#.#.####..##.#..######..#.....#.#..#.###....#...#...###..###.#####.##.#...#######.#..#..#####.#..#.###.####...#..#####..#.#.#.####..#.##.##.##...###..#.##.#......#####.#.######.####.#..#....#.###.#..##....#.##...#.###.#####.#.....##...##.......##.#..#.#.#..#.##..#####..#.#.##..#..#.##..#.#.#.###.....###...#.##.#.#####.###..##.#.#..#...#.#...#.##..##.##.#.####.####.#..#..##..#....#.#..####..###..###.#..#.....#...##.####.....#.#...#...###..#.#..#..##..#.#...#...#.##..#.#.#.#...##..##.##.###...#.#..#.####.##.#..###...#..#.#....#.#####.##..#.###.#.#..###.#.#.###.##...#....##.#..#..#...#..###.#..#..##.....####.###.#.##......#..######.###...##.#.##.###..#.#..#..#.....####.#.....###.##.#..#####.#..#..###...###..#.#....##..#.#..#..####.#..#..##..#..#.#.#..#.##.#.#.###......##.#####.#..##.#...#....#.#.##....#...#...###..#.##..#####.#.#..##.#####.##.#..##.##....#..........#....##..#..#....####......##.....####.###.###..#...###.....##..##......#.#.#.#.##...####.##.#....#..#.#..####..##....####.##..####.##..###..####..#.##..#...#.##...#..#...##....##.###.##....#..#....#..##...###.###...##...##.#.#.#....#.#.....#.#...#.##...##.#####..#.##...###...#..##.#.#..........#...##.#..#####..##..####...##.#..##.#.....#.##......##.#..##.####..#..#######.####..##...#..###...#...#.##..##..###.#...######...##.#......##..#..#...###.#.#.#.#.#.......##....###.#.###.#####.##.#..###.###......##.##....##.###......###..#.##...#...#####.###.###....#....######.#..##...##....#.#.#.##.#.###..#..#######.###....###.###..###.##.#....#.#.##..#..#.#.#..###..#..##.#..###...#.##.##..###...####..#.###.##.##.#..###...###.##.###..###..#..#.#..#.##.#....#..##......##.##..#..####...##.####.#....##.#....##.##.##.##....###..#..##.##.#..########...#.......###....#.....#.##.########....#..#....#.
##...#.#..###.###...#.#.###...##..###.##.#..##...#........#######..#.##.#.#...######..#...##.#.##....#.#...#.#.#.......#.........#.#..#...##..#..#.##.#..#.##.#....###..##.#.######......#####..####.##.####.....#..#.#.....#####.....#.#####.###.#.####.#..##..#..#.#..##..#.#####..#......#####.#.#...##..#..#.#.#...#..#.#..##...#.#.#.####.#...##..#..####.######.#..#...##.###.#..#.####...##.##.#..##...#...#.#.###.##.....##..#.#####.#####.#.#..#...######...###..#..#..##..######.#.####.#...#.#...#.######..#.#####.###.##......##..#.#...##.#..#....###.#.......#......##.###.######.##.####....#..##.##.....#..###..##..#..#.##..#..#....#..#.#..##.#.####.##.##.####...#.#.###.#.#.##..#.##.##.##..#..#....##...######.##....#.#..####.#..###.......###.#..#......#.#..#........####...#.###.#.#..#..#......#....#.###.##########..##........#....#..###.#.#...####.#..#...##.#.##..####.#.#...#.#...#....#.#.#.###.#..#..#.###....##..#.###......##....####.#.##.##..##.#....#..#.##.#..#.#....#.##...#..#...#..#...#...#..##.##...####..####.##..##.###..#.#.#...###...#.#.#.#.##.##..####.#.#.#...##...#.##.#....#.#....#.........###..#.##.#.#.###..##...##.#.#.#.##.####.#.##.#......#.##..#..###....###...##..###...###..#.##....#......#....####..#.#.....##.#..#.#.###.#.....##.##..#.#....#.###..#.#.##...##..###..##..#######.#..##..#######..........#.....#.##.##....##..##.#.#.#.##..#####..#.#.##.....#..#..##.##..#..#.##..#..###...###.###.#..#.##.##.#..#..##.#.####....##..##...##.....#...#.#....###.#..#..##....#.###.####.###..#..#..###..######...##########.#.#.#.#####..#....##.#...##.#.#.##..#.####..####.#..#..###..#.##....############.#.###...##....#..#.#.####.###.#..####.##.......##.###.###.#.###..#......#..#......##...#.........##.####..#.#.##..###....#...##.##.##..#..###....##..#..##.###..###..##..#...#..##..##.##..#....##....#...#..#.##...#.#...###...##.#.##......##..###..#.###...#######..#.##....#####...#.#.#..##......#....#.#.##....#..###.##.###.....###.#####.###..########...#.#.#######......#.###.....#.#
.#..##..#..#.#.#..##.#...###..#..###....#.##.#.#.....###.#...#....##.#..###.#.##.##..###..#...#..###..#.##.##.#####...####..#....#.#.#..#..##...#..#.#.##...#..#.#.#.#####.#.##.##..#.......##...##..##..##.###..#...#....##.####..####....#..#.#..#..##.#..#......####..###....##...#..##.#.#.#...#.#..###..#.#.#...#.#....#.###.#.#.#.###.###.###...#....#.#.###.#.####.....#....##.##.###...#..#..#..#..#.#.#.###.##..##.#....#.#.#.######..#.##...#...#.#.#.#..##..........###..#..###..##.#.#..####...#.#.#..####.####.#.##..##.#.#.#..#....#..#...#..##.##..#.###..###.##..#..###..##....#####....#####.#..#.#####.#.#####..#..#.###..####....#####.#...##...####...###....#.#.###..#.#.#.....##...#.#.......#..#...###.#...####..##..#.#.#.#.#..##..###.####..##..#....#####.###.#####.#..#.####..####..#......##..#####..#...####.#####.##.#..##.#...#.#.##.#######.##..#########.##.#.#####.###.#.#...##..##.#..####..####..#.##.#.#...#..##..#.#.#.######...##.###....#.#.#.##.####.###.#.###.###.#####.#...###.#..####..#.#####.#.###.....####.###...#.####.####.##..#.#......##..#....##.....####.#.#.#..#.###.###....##.#.#..##.##.#...#.##.##..#.##.#..##...##.....#.#..##.#...#.#.#..##.#..#..#.....#..####.#......#.#.#..###...##..##.#.#..#.....###.##..###...#..#..#.##.#.###...###..#....##.###..#.##.#..#...#...#..##.#.########.#.##..##.#.#.##....#.##.##...##....#####..#.####..##...#...#..#..##.#.####.###.######...##..###..#..#.####.##....#...##......#.#.##....#.#.###.#...####.####.#.....#####...#...###.#..##...###.###.#..#######.###.#..#..#######..#####..##..#.#......##...#####.##....#.#.#...##.#.#...####.##.##.....#####..##.#.###...#.#.###.####..###.....####..##..#.#...####.#...###..##.#..#..###.##.######..#.##.#..##.###....#..#.#.#....###....###.#....#.#.#.###.#.###...#........#####..#...##..#.#.#.##.#...#..#.###...#.###.##........#.#....###....#.########.#...#.#.#.##.##...##..###...#.#..##.#....#####.....#.##...#...##..#..#...#.#.#.#...##......###.##.##.#..#.#.###..#..##.#####.#..###.......####.########..####.
...##.#.##..#.#.#......#.##....###.####.........#...#.##..#..#.##...##.#....##.#.#..##..##..#.########.#..#####....#####.#.##.#..#..#.....##..#..##.###.##.#.#.##..#....#..#.##...#..##.#.#####..#.##.####.###...####.#####....##.###.##.##.#..#######.#.##..#.##..#.##....##..###.#.#####.#.#...#####..#.######.#.......#.####...#.####.##....#..#.#.........#######..##.##.#...##.#.#....##..#...####..#.#.#.#..####.#.#...###.###...#.#...#..#.#..##.##.#......##.##.#.#.##.#.#.#.#..#.#..######.#####....#.#.#..##.######...#.#.#...##.##.#.....#.#..#####....#.#..##...##.#####.#..#..##..##..#....#.#####..####..#####...#..#.###.######.#.###.#..#..#.##...##..#.....#..##.####.##..####.#.######...#.##.###.##.#.#..#.#....###...#.#....#.#.##.######......##.###.#......#....#...###...#.#..#####...###...###..#.#.#..#....#.##.#####..#.###...#####....###.#.#..####..##.#.......#.#...####..###.##.#.#..##..#..#.##########..#.####.####.##.##.#.###.##..#.#.#..#......#.#.#......##....#.##.#.#.###.#.######.#.#......#....#..#.#..##.##...#....#...##..#..#...####.#.##..#.###.#..##..##.#.##.#.#.#.....####.#.##..#...#..#.#...####.####..#..###.###.##.###.##......#..##...###......#...##..#.##.#..####.#.#...##.#.#.##..#.####.#.#..###.#.####..##...#.#.###.#......#.#.##..##.#.####...##...##...#.#...#.##..#.##.###.#.##...#..#.#...########.#####......#.###.##.######.#....###.#.#..##.#.#.###..##...####.#.#.##.#.########....#......###.#...#....##.#.##.#..#.#.###.#.#...##.##......#.#.##...##...#..#..#.##..##..#..##..#..#......##..###.#.#..##.#..#..#..####..###.....#.##..####..###.......#####..#...#.####.#.##.....#.....##.....##.#..##.#..##.##...####.#.##..#....#....#.#.#.####..####.........###..#.##...##..##..###..##.#.######...#####.#.##.....#...#..##.##...#.###..###.#.#...#.#######....#.#.##.#......##.....#...##.###.##.#.##..##.....#.######.#.#..#..####.####.#..##...###..#..##..####.##...#.#.#..###..##....##...#####..##.####.#.###....#.######.##....##.#..####.####.#.##..##...#......#..###...##..##...#.#..####..##.#
.###.#..##.###...#..#.#..#..###.####..###..####...#.#.#.#.##..##...###....#...#.#.#.#.#.......#..#...###.####.##..#.#.#####....#####..#..####.#...#####...#..####.##..###...###..###...#.#...#.#..##.##..##.#...########...##....#.#....#.#...#...#####...#....#.#.#.###..#.#.####..#.###..##.#.#.##.#.##.####..##.###.##..#.....#.#####...###...#.###.####.....#..#.#..###....###.......##..#..#..#..##.#.#.####...###...###.###....#......#.#.....#######.#.##.###...#.#.#.####.#....#...#.#...#####..#.###..#..#.#...#..##...###..###..#.#...#..#...#.####..#.#.....#.####.##....#..##..#####.##.###...#.#####..##.#.#...##..##.#.##..#.....#.###.##...#.#..####.#.........#.#....#...#..#####....#.#.#......#.#...#....#...#.#..##....##..#...###..##...#.#####.#..#.#####...##...##.#.....#####......###.#..######..#..####.#....##.#..##..#.....#...#.#.##..####.##.##.###.#..#...##...##..##..####.###..###.#...#..#....##.#.#..#..####.#.####.###.#........#####.#......#.#######.....#..#.##......#.#...#...#.......##..##.##...#..#.#.##...###.#.#.#.###..#..#.###..#.#..#......###.#.##...##....###.#.##...#..##..#.#.#.##...#####.###...###...#......###..###.#..#.####..##.#......#.#...#.####...#..###.##.#...#####.###.#...#.#....###..#####...#.#..#........#.############.#.####.#.#.##....##..#.#####.##..#...#.#..###..###.##.####...#.#.##.#####.######.#.#..##...#..##.#.##...#.#.#.#.##....#.##.#..#..##.....###..###.#####......##..#####...##.##...##.#....#...#..#........##...#..##.#.##...###.###..#..#.#..#...##..#.###..#....#.##.#.#.......##########.#.#...##.#....#.#.##.#....##.#.#...###......#.##.##.##..#..##.###..#.####..#..##.#.#.#..#..#...#..####.###..##...#####.###....#...#..#.........#..#.#..##...##.#...##..#.#.####.#.#.###.#..#..#.#....###..##..#.#..####..#...#.#.#.###....#######..####..#.##.#....#.#...#.##......#.#.#.#.#........#.#..##.####...#.#....##....#...###.#.#.#....###....#.##.#...#.#.#..##.###..#..##.##.#.####..#.##.##..#...#.#...###...#..#.#..#.###..#.##.#..#.#.....###...##...##.#####.##.#....#.##.##
.###.....#.#.##..###.##........##.#....###.#...#..##.##.###.#.#.#.#..####..##..#..#..###.#.####....#....#.....#.##.##.######..##...#...####.###..#..###...##.####.##.##..#.#.##..#.#..##..#.##...#....#..###........####..###..##.#..##.#....#.#.#...#######..##.#.#...#..###.#.#.#..#....#....#..#...#####......###.###.....#.##.##..##......######.#.##.#.#...######...##.####.##.####.#..#..####.###.....#.###.#..##.##.####...####..######.....####..#.#..#####.###.#####.##.####.#####...##.##..###.###......##.###...#.###.#.######..###.#..#.##..######.#.###..##......#.##..#..#..###.######..##...###....##..#...#.##.#.###.#.##.###.##...##.#..#...#..#..#..##.#.##..####..#.#.#.#.##..#...###.#..###..#.#.###.####..##.#.##.#....#...#.....#.####.#...##.##...####.#.##..#####.#.###...#...###...#.#..##.##..#...###...##...#....#...###...######.####.#.....#...##.#.###.#.....#.#.##.....#.###.#####...#..#..#...##.######.#..#...#.#......#..#..#.....#..#.######..#######.##.#.#####...#.###.#.#...###.......#.##...#.##..#.##....#....#..#.....#####.#.#########.#...###.##.###...#.###...####....####.######.#.#....#####....##..#.#.#.#.......#..#.#.##....#.#....###.#..##.#.#...###.........##..##...#.###..########...##.#.#.#.####...#.##.###..#####.##.#..##..#...#..#####.##...#######.##.......###..#..#####...#...#..#..#.#..#..#...#.###.#######..#..#.###..#####..##.###....#...##.....###.#####....####.####....#..####......#####....#.#.###..#.#####.##.#.#.##.#####.#.#..#...#####..###....##.#..#.##...##..#..#..#...#..#.#....#####..##..##.#.##.#..##..###.#.#...#...##.....######.##..#....######.#...####.##.#..#######.###.##.#..##....##.#.##....#...#.##.##..#.#.#.####.###.....###.##.#....#####.#.#####.#....#.####..#.##.#..#####..##.#.####.#..##...#.######...###..#...#.#..#...##.###.#...##..##.#...#..###.#..#..####.#..##.##.##...#####.#.##....###.##.....#..##....##.#.#.#....#....#..###.##.##..#..#...#.#########.....#.###...######..##.##.#.##.#..####..#.###.....##########.#.#...#.....##....#.#..##.#.##.....#..#...#.
##.##..#.##.#...#...#.#####........##.#.##.......###..###....#.#....#..#.#.#..#........#..###.#..#####..##...##..#####...#.#.##.##.####....#####...###.......##...#.#....#..###....#.##.#..#.###.#####.....#..#.#..###...###..##...#.#....####..####.#.#.##....#....###.#..#.####..##.##.##....##.####..###.#.##.....#..#..###..#....#.##.##.#...#.###...#..#..#.####...####.....#.#####.####....#####.####.#..###.....####..##....##.##..##.#.###.##.#.#.###...##.#.####.####....#.#..#..#.####.#.#.#..#...#.#.#..#.#.####.###.#.####.#.#.##...##.##.......##..#.#.####...#...###.##..#.#..#.##.##.####..#.#...#.#.#.##..#.#...####.##...#.##..#.#..#...##....##.##.##.##..#.###..#.##..#...##.#.#..#####...#.###.#.#....######...#######...#.....#.####..####..#.#.##..##..##..####..##...#........##..##..#####......#.##.##.##.#..#..#.#.#..#..###......###...#...##..###....#..#.#.#.#.#....#..#.....###.#.##.#########..##.#.....#.......##.....#..##...####....#..#.#.##.#...#...#.##.###.##...#.....##....##..###.#...#..#..##.##..#.####.#...##..#..#.#.#####.###.#.##.#..####.##...#.##..##.####..#..#..#....#.#..#.#.#..#.#.#.#....#.#....#...#...#.##....#.####.#...##...##.#.##.#####...####.#.####.#...#.###.#..##...##...#...#.####.#.#####....##.##...#.#....##.#..#.#.#.#....###...##..#.#.#.#.###.#....#..###.##..##...#..#####...###.#.#....#.####.#.##.#.#####.##....#.##.##..####..#.#.....##.#.......#...#####.....#....#..##...########..#..#...#.#.###.#..#...#####...#.##.#......###.####..##...##.#.#..##...#.#.#######....#.....####.##...###.##.#.#......#..##...#.#.#####.##.#####...#.#....#.##..#...#.###..#######.##.#......####..##.###......##.#....##..#.##..##..#...##.##...#.#.#..#...#..#########.#####...##.#.#.#.#...#####.####...####..##..##.##.###.##.##.#.###...#...#..#.#..##.#.##....#.#.##..#.#.#.#.###..###.##..###.#.#..#...#.#.#.#...##...##..#..###..##.#.##..#.##..#.##....######.#..#..##..##..#....###.###....#####...########..#.#..#.#...#######.....#..##.##..#....###...##...##..#.##.##.##..#.#.#..#.##.###.#.######.
..#.####..#..#.##..#..##..#.#...#....##.#..#.#.#.#.....##.#.....#.#..##..###.###......##.####.#.##..#...#...#.###..##.##....###.###.#..####.##.#.#..####.##...##.####....#..##...#..#..##.#.######....##.##..#.##.#.#...#...#....##..#...#..#.........#.....###......##..###...##..#.#...#.#..##.#.#.#..#...#...#.###...#.#..##.....###.#...##..##...#.#..#.####....###.######.#....#.##..#.....###...######.#..#.#.#..#.#.#..#..##...#..##.##.###.####..##..##..###..#.#.#...#.#.####..###.#.##.#....#.#.#.#.#..##.#######..#...######.....###..###..#.#.#..######..##..##.###..#.##.##.#.#...###...#.....##..#..###.##...######.######..##..#..#.#.#.#..##..###.##.#.##.###..###..##..#..##..#.#.....#.#..#..#.#.#..###.###.#...###..#..###..#...#...####..###.#..#.....####..#.###...##.##...##.##...#.##..#.....##.#..##.##..####.#..##...#..##.#...###.######.#.#.##.#.###...#.#...#.####.....#.#.####.##...#..#..#..#.#.#.##...#..##.############.....#.##.###..##....##.#.#...#.#.###..##...#.........#.###.#.###.####...###.#..#.#.####.##.###...##....#...##...##.#.####....####..#.##..#.##.....#..#.#..#..#..##.##.##.......#.....#.#.#..##.#.#.#####.##..#.####.##..#.#.##...#.#.#.#.#.###.#..#.#.##.##.####.####...#####.#...#.#...###..#....#.##....##..##.##..##..###..####.#..####....#.#.#..#....####.####.#.#..##.##.##.###.###..#####.##...#..#..#............#...####.....####..##.#.....#.#...#..#####..##.##.######..##....#####.##.#..#..#.####...###..##.#..#.#...###..######....#..#...#..#.#..######.......####.#.####...#####...##########.#.#..#..########.####.#.###.#####..#.###...###...#...#####.#..###....#..##.#.#.##...#.#.##.#.##..#.##......##..#.#..#.#.#.##.####....###.#.###.##....##.###.#..#...##.#.#.##..#..####.###.#....###.#..#.###..#...#.##..#...#.###.##.######.....##.#.....#...##.##.####.#.#.######.#..####..#...##.#.#.##....##..###...##....#.....###.##.#..#...##..#..#..#.###.#..#.##..###.##.#.###.#..#..##.##...#.......##..#...#.#..#########.##..###.#..#.#..#.#.#....#..###.#.#....#.#.#..####....##.####.##.##...#
....###.#...#.###.#######.#....#.##.##.#.#..###....#.#...##....#.....#.###.....#.#..#...#.##.##..#####..#.#.####.##.###.....#.##........##.#..#.#.##..##...##.##..#####..#.###.#..#.###.####..##.#..#.#.......#.##.#..#.###.#..#..###........#####..########.###..##.####...##..#..#.####.###.#..##.###.#.##..##.###...#.#.#..######.#......##.####...#.#####.###.##........#..#..####.####.##.##.###....#######..#...#..#.###.#.####...##.##..#..##..##.##.####...###..#.#...#...##.###.#..#.#.#..#..##.....#..#########.##.##...#....#..#..#.....##..###.#.##.#..##..#.####.##..#.#.#.###..####..##......##..#..#...#.###...#...#####...####.#..#..#..........#....#.##.#.##..####.#..#.####..####...#...#..#.#.##....#####...###.....#..##.#.####.##..####.#.#.#..####.#.###.#.##..#....##..#.##.#.##...##.#.#...####.##..##.#####..#.#.####.###.##..#.#.##...#.##.###.######.#.#.#..##.#..#..##..##.##.#....#...##.#..##..#####.##.##....#...###.#..##..##.#.#..###...####..#.#.#.#..##..#.#..##.#...#.##......###....#..#####.##....#####.#####...#...#.##..#.########.#.#####.####.####..#..#....##.#.###.###...#.#.####...#.#...######...#...#...#....###...####.##.#.#.####..#.####..##...#..#....#....#.#.....#.####.###.###.###....##.###..#....#.......#.....#.#.....###..#.###..#..##.#.#..#.#...#....##..#...#...##.#.#..#..####..........####.##.##..###.###...#.#####..##..###.######.##.###....##..#.##..#.###.###.#####..#.....#.#.##.#######....####...#####..#..#...#....#.##.##...##.#....#..#..####.##..##.######.#####..#.#..#.##..#######.#.#.#..##.##....##....#####...#.#.##..##.#.#######.##.###.##.##.#..#.#.###.###.##.#...#.#..#..#..####.#.##.##...#....##........#.#..#.##..#.#.##...#..#..#.###.#####.#....##....###..#...##.####....##.#..#####...#.#...###...#..####.#.#....###...######.....##.#.#####.#..##...###.#....##...#..#..#...##.#..#.#...#...#..##.#.###.##...##..###.#.#.....#..#..##....#####....#.###.##.#....####.#.#.#.#..#.#.#.########...##.#.#.##.#..###...#....#...#.###..##.#..##......#.#.##...##..###.#.##.#...#.######
.####..###.#...##..#.#....##..#....#.#.#..##..#.##...####......#.##.##.##...##..##....#..##.#####.##.##.#..#.#.###..#.#..##.###..#.####.....#......##....##...#..#.#...##......#.#..#.#.....#..#.#..##.#.#######..##.#.#..#.##....###.##..#.#..##.####..#.....##.#.#...#.#.#.####.......###.#...#..##.##..#..##....##..#####...###.#..###..#.###...###..##...###...##..#.#...#...#.###.#.##.#.#..##.##..#####.####.##...#.#..#..#..###.#.##..#.#....#.#.##..##..#.#...#.##.#.#.#.##.#.....#......#.#...##..###...##..##.#.#..#####.#.##.#.#.#....##...##.##..#.###.#####.##....##.#.###..#..##.###.###.#.###.##...##.#..#.#.#.##..####.#....##....###....###.###...#.##.####...#..#..####..##.#...##.#.#.#..###.##.######.#.#...#.#..##.#.#...#.#.#.##.#.#.#.#.#..###.###......#.####.....#.#.####.#...####...#..###.###..####...##.....##.#####.######...#......####..###.###..........#..##..#.####.###.#..##....######..#.#..######.#.####.#.....#.#..#..#.####..#.##.##...#.#..#..#..#.#...##.######...##..###.....#####.##..###.#.#...#####.#....##..#....#...##...###...#.#.##..##.#####.#####.#..#.##.###....#..#.##....#####.###.##.#...#..###..#...........##.##..##...#.##...##...######.###..#.#######.#.##..#.####.#....#.####.#.##.###..##..###.#.#.#..##...#..####..#...#.##.#.#..##.#.#..####.###.##....#....#..##....#..##.#.#.###.#...######....##......#.###..#.##....#.##.#.###.###...###.#.#.####.#...#.##...#..##.##..###..##.#.#..#####...##.#...##...#.###.##.#...........##.....#####.##.#..#...#.###.##.#..#..###..#.#..#..###..#.....#####.......#....#..#..#..#.###.#.#.....#..####.#...#..###....##.##.#...#####.#.#..##.#####.####...#.##.##.#.#.#.#.#.##.##...#.#..###.#..#....#.#..##..#....#..###...#..######........#..#.#.##...###.###..##.#..#....###...#####......#.##...#.....#####.##.#.#...##.#.....###.##.##.#....#..##..###..#.#.##.#.#...#..#....####.##.##.##.##.#.##.###.######..#######.##.#.#..##.###.##.#...#.##..#..##...##...###....###...#.#....#.....##.###.#......#.###.#.#..####...##..##..###....##.##.#...#####..#.#.##.#
..##...#..###.#..###...#####.#..###.##..###.##.##.###.##.#.###..#.#..###..###.##....##.#....##.#..#.##....###..###.#.###.###.#####.#.#..##..#.#...##.##...##.###...#.#..###.#.#...##.##..#####....#.#.##.##..###.#.#..#.###......###....######.#.#.#.##..#..####...#.#.##....#######..#...#...#.###.##.#.#.#....##......#.####..######.##..##.#.#.#.#.#.#...#.##.#..###.###.#..#######.##.#####..####.##....##.##.##.##....#.......#.##...##.##..#.#####.#...#...##....#.#..#.##.#.#..#..##.#..###.##...###....#..#..#....#...####.#....#.####.#...#..#..###.....####......##########..##.##########.##..#.####.#####...##...#....##..#..###.##.#.###...##......###.#.#.#.##.#.#.#....##.###...####..#...####..##..#.#####.....#.#.##.####..##.##.#...#.#.#.##.##.#.#.#.#.#.#.####.#.###..#..##..#.#.#..#.##.##....#.##..#....#..#.....#..#..#.#.....#..#..#......##.###.#..#####.###.#....##.#...#.##..#....#...#..#.####..##.#........#.#.##..#...##.#..##.####..#.#.#.###.##.#..##.....###..##..#....#.###.#....##...##....#...#.#.##..#.####....#.#...##.#..#..###...#....####.#.#..###..#.#..#.###.....#.###..########.#.##...##....####.#.###########...##.###..####..#..#.#..#.####.##..##...###.##..#.#..#.....#.#.##..##..##..#...#.#.#.###########.##.#.##..#.###....######..###...######.###..#......#..#..##..#....##.#.###.####..#...####.#..##..##..#...#..###.#.##....#..#.....#..##..##.#..#....#####.#.######..####.#.##..#.#...###....###.....#..##...#..###..#....##.#..#.#.#####...#..#..#.#.###.#.....#..##..#.#.####..#...#.###...###.#..##.#.#...#...##.#.#.##...#...#..#.##..###..#...##.###...###.#.##.#...##.##...####.###..###.#.#....##.#.#.#..##..#....#.###.#..#.##.#.#..##.#.#..####.#..##.#.#..#.#.###.....#.##.....###.###.####.###.#..#.#.....#####.######.###.#.#.##.#..#...#..#.##.###.#...#.#.###..##.#...#...#####...###.###.##......#.......#.#.#....###.#..#.####....###.##.###..####.#.##.........#.#..#.#..#####....#.........#..###.###.#..#.####...####.#.#.#.#..##..#.....######..##...#..###.....#.#.#.######.####.........###....
.#.####..#....#....#...#.....##..###.##....#..#..######.#...#..#.###.#..#...###.#####..###.#.#.#####.###.#.....##...#.#.###.##.#...##..#..##.#..#...###.##.#######.....#..#.#.######..###....#.#.##...#.#....###.#..#..##..........###.##.....#.......##...#.########.#...####..###.##.###.#..#..###.........#.....##..##.#...##.##...#..##.#..#.#.#...##.##...#.##.##.##.#.....##..#####.#..#.###.##.#...#.##.####.#..###...##.#.....###......#.#.####.#...###..##...#..#.###...#..#.#.......#.#...##..#..##..###.##.##.##.#..#..#.###.##...#.#..#..######....##.#.###....#######....###.#..###.#.#.....###...#..###.###....###.#.###...#.#..##..#.#.##....#.#####..#.#..#####..#...#..#####.#.#.#####.##.#.###..#...#....#.###...#..#..#..#.#.#.#.###.######.#..#.###......##.#....###.#..#..##.#.#..##.#.######..##.#......#...#..##...#...#.##..#..###.#...#.#......#..#.##############..###..#.#####.#.#.#.#.......#...###..#.#..####....#..#..###.#...#.#######.#.#.#.##...#..#.#..##..#..##.###.##..#..##..#.#..#.#..#.#..#.#.###.##.#.###.####.#.....#...#.....##...#...#.###.##..######.#...##...#.######...#.#..###.#...##.##..##..#...#.##...#.###.##...#.###.###.#.#......#.#.#.###.##..#####.###..##..#....#..#...#.##..#....##.....##.#...#...#.###....##..#.##..##..#.#####.#.#...##..##.##...#.#....###.#.#.#.#.####..##.#.##..#.#.#.##.#..#...#.#.#.##...####..#..####.......#..#..###.#....###.##.#....##.#.##..#.##.#.#..#.##...#.#####.##.###.####..##.###.#...##.#.#.#...###.#.#..#..#.....#.###...##...#####.#.#...###.#.####....##.#..###..#.###...#.##.#.#..#...##..#..#.#.##.####.#....#....##.#..##.##...#.###...#...##...#..#..####..#.#..#.....#.###...####......#..#..#####.##.#..#.#...###....#...####.##.###..##...###..#####...#.###...#.#.#.#.#.#..#..#..##....#..#.##.#.###.####..#.###.......####.#.###.###....#...#.###......####.###......##..#..#.#..##.#.#.###.#####.#...#....#..#.#.#.#....##...#..##...#...#.#.#.....##.####.##.###..#.##.#.##..#.#..#.#...###..###..###.#.####.#.#.#..#.##...##..#...##.##.#..#.##.#...##..#######.#.#
#...#####.#......#.####..##.#.....##.##....#####..###.#####.#....##......##.###..#.....#.###.#.####.#.#........#.#.#...##..#.#.######...####...###...#.##...##.##.#..####.#.#.#..###.####...##.#....##.####.#..#.#...#####......#####.#..##..#...#...########.##.#..#...##..#..#.#..######......#.###.....#.#.#######.....###..##..#.....#..##...#..###.#..###.#.####.##.#......#.#..####.#.##.#..###...#.##.......#.#..##..###..##.#....#.#...##...##.####.##.#.##...###...####.#.###...#.###.#......#.##.##..##.##..####.......###.###.##....##.#.###..###.###..#...#.#.....###..#....##...###..##.##.##..###...####...##.#..#.#..#...#.#.##.###.###.##.#..#...#..###..#..###..#..#####..###.###.##.#..####.#..####.###.#...#.#...#####..#.###.##.#....##..#.#.####.#.#.......##..##..#.#.##..#.###....#####...###.##.####.####..###..####..#..##.......##....##.#...#####.##..###..#....#...#..##.###..##.##.##....###...#####.##.#####.#.....#.##...#####.###.##...#.##.#.##.#..#...##......#.####.##...#.##.#.#..#.#.#..#.....##......##....####.#.#.#.##..#.#....##.#..#..#.###.###..##.###..#.##.###...#.###.#####..###...#.##.....#...#####..###...##.##.#.###.....##.#.###......#.######.###..#..#...###.###.##...#.#.####.###.##.##.##........##.#.######.####..####..#####.####....#.###...#...###..#.#....##..#..#.#####.#...#...#######.##..####.####..#.##...###....####.#..####..#.#.####.##...##...#.....#.#.#..####..#.....#....##.#...#.#..#.#.#.#####.#.#...###...####..##.#...#..#.#..#..#.####.####.#..##..#.######.#.####...##.####..#..#..##...#####.#.#.##...##.#............###..#...#....#.#.#...##...#..###...#.#.####.#..#.###..#.##.#..####.#....#####.##..##.#......###..###..##..#.#.#........#.####.##.#.#####.######.###......##..###...##.#...#......#..##.##.#.#..##..#######..##..#.#..##.#.#..##.##.#####....#.#.##..#.#.#.#.#.###.#..###.###.#...#..###.#..#######.##....##########...##.#....##.#####..###.#####...#...#...#.##.###..#.#...###.###....###...##..######.##.####...####.#...##.##.....#.#..##.##..###..#....#....##..####..
..###.#..#..####..####.##...#####..#.#...#.##.....#...##...#.#.#.#...###.##..##.###..##..#.....##..###...##..#####..##...###..###.##.#.##.#..######......#.##.##...######..#..##..#.#.#.#####..##.....###.###..##.#.###..##.####..#..#.#.#...#..#.#......#.##.##..#...#...######..####..###.#..##.....#.####......#...#.####.####.####.##..##.###..##...###...#..####.###..###..#.#.#.##.#.###.....####...#......###.#.##.###.#.##.#####.##.##.#.####.....#..##.#.#.#...#....###...##..##.#.#####.#.##.##..#.#.##.#.###.#...##....#.....#...#.#####..##.####...####.#####...###..#...#...#.#.##....#.#####.....###...#...##.#.###..##..####.###.##..#.#.#.##..##.##..#..#.#.#.##....#.....######...#..#..#...#..#..#######..##......#...#.###.#.##....##.#.#.#.###.##..#....#.##..#............#.####...##.##...#.#....##.#####.....##.##..#.#.#.##..#...#.#.#.##.##.##....##.##..##..##.##..#####.###.##...#..##....#...##....###..##..####.###..#...###....#.#..#.....##.#..##.#..###.#.......#..#.##.#..#.######..#...##.#.#.##.##..#.##..##......#####.#...#..###..#.#.#.#..#.......#.#.#.#..#####..#..#..#..#..#.##....#...#.####.....##..###..###..#...#.#.##.####..#.###.#.##....##....##.###...##....#####.#.#..##.#.##....###.###..#..#..#.#..##.##..##.#.##..#.....#.#.#.#..#.#.#..##.##.#.#.#######.##.#...##.####...###.....#..##.##.##.....######.#.....#..#####.....#.#..#..#.#.....#.#...#.#.#...##.#####.#.#....#.....#.#.##.##...##...###...#.##.##.#.##.#.#......#..#.#.#.####..##.#..#.##.#.##....#.......#####.##....##.##.#...##..##..##.###.#.#####.##...#.....#####.###.#.#.##...#..####.#...###.#######..###.###.####.##.#....#.##.#...#..#.#.#####.##....##..##..#.###.###..#.#.#....##.#.###.#####..###.##.##..###..#.#.....######.#..##.###..#..#..####..####.#.###.###..#.#.#######.#..#..########.#..#...####.#.#.#.#......#.#..##..###..###.#.#.#.#####.##.#..##..######...##...#####..#.#.#.....#.#.#.#..####.####.#####.#.#.#.###.#...#.#.##.#.#.###....#.#.###.######...##.##.######.#.#.##...#..####...#.....#.....##...##...#.....#..####.##.
##....#..####...#.######.#.###.#.#..######.#..##..##.######.#.#...##.#.##...##....#.#.....#...#######.####...#####.##...#.#...#.........######.#.#..#.#...#.######..#.##..###.#.####.##.##.#..###..#.###....#.#...#####.###.#.#....###.#.###..##.##....#.....##.#...#.###.#.##...###.###...###.##..#.##...####.#...#.#.#...#....##...#.#...#..#..###.#.....##..#......#.#.#..##......##########..#..###..#.###.##.#####..##.#.#..#..#...##..###..#....#...#.....##....#.#...##.###..#.##.#############.##.#....#..#.#..#.####.###.###..#.###..##.#.###.#.#..#.###.#.##.##....##......#.#.####..#.#.##.......######.#####..##..###.#..#...#....#.###...####..#...#...#.#.######.#.#.##.###.##.#.###.###..#..#.....####.##.##.###..##.###.#.#.##.##.##.###.##..##.....#.....##.....#..#...#....#..##.#.###.##...##..#...#.##.##..##..#.####.....#......##.###.#..##..##.#.#.#.######.#..#......#..#.......##.#.##.##.#.###.##.#####..#...#...#..#..#.#..#...###..#..###.#.#..#.###..#..###.....#.##.###.##.##..##.##....##.#....##.###..##..###.#.#..#.#.##..#....#..#.##........#..#..#...##.#.###.#.....##..#.#.#.#..#####..##.##.##...#.#.##.#.#..#.##..#...####.#....#.#.##.####.####.#..#.##...........#..#.#..##.#####..#.##...##...###.#..###...#.#.##...##.#..####.##.######..#.####....###.##....####..#.#####.#.##..........##.#...#..#########.#..##..#.#..#.#####..#.##.##.###.#..#..####.#....#....#..##.#..##.##....#.###.##.....#####..#....#..###.##..##.##......####.#.....##..##.##..#.###.#.....##.#.....#....###...#.....######.#.#....###.#..#.##.#.##.#.##...###.##.#..#..#..#.....###.#.#.##.#..##.#...###.##.####...#.###.#.##.#####..##.....#####...#..#.#.#.###......##..#..#..#.##..##...###.#...#.#.#..#.#..##....#.#.##..#.#..###.##.#...###..#.....####..#.#.#..##.##...###.##.##..#.#.##.#.#..##.##...##.#......##.#..#.##.#.#...##..####..#.####.###.#.###....#..#.##.#.##..##....#.##.#######.####.####..###.##.#.#.##..#..#.##.#...#.#...#.###..##.#..##.###.###.#.###.##.##.#...#..####..#..#####.######.###.###..#.##..####.###.##........##..
....###.#.#.##....#.##..####.#.#.#...##..##.###.#####..###.####.#.####.#.###.#....#..##.##.##.#..##....#..###.##...#.#.##.####.#.######.###......##.##.###.##..##.....#####.##.###.........#...#.#......#.##.##..##.#.##.###......###.####.#.##.###....#.#.###..#....#.#.##...#...#.#.#######.###..##.#..#..#.##.#..#...#..###.##.#.#...###.#.#.###....##.#..##.##...#....#....#..#.#####.#......#...##.#...##...###...#.##..###..##..##.#.###.#...####.#.#######.#.##.##.....#....#..#.##..#.###..#..##..###...##.#.#.#####.##.#...#.#.#.#..####..#.##.##.##..#......#..##.#.###.######.#...###...#.#.#.#..##.###..#.#.###..###.#..##.###..###.###.#.####.#.#.........#.##.#.....#....#.##..#.#..#####...##.####.#.#.####..#..#..#.##..####..##.#...#....##.###.#.###..#.#...#.......###.##..#..#.####.#...####......#...####.##.##.#...###.###...#.#.##.####...####..#.##..##....#....##.#.##.#....##.####.#.#..#.#.##.###.###.#.....#..#..#...####..#..###....##..##.#.#..#######.##.....##.#.##...#.#.#..##.####..###.#.....#.....#..######.#..##..###..#......###.#..#.#.#..#.#.#..#.#..#...###..#.####.###...#.##.#....#....##..###...###.###....####..###.###.#####.#.#..#...##..##...##.#..#....####.###.....#.....##..#.###.###..#.#...##...######..#.#...##..#..#..#.##...###..##.###.##.#####..###...#.###.#..##....##......#.##.....#......#####.###...#.##.#####.##......#.###..##...##.#####..###.#.#.##.########.#....#.#..#....#...###..#......#.#.###..###..##.#.#..#..##.##.##.#.....##.##.######.#..#####..###.####..#.#..#..#.......#.##.##.#....##.#.#.#.#####.#...#..#....#.#.#..#########..#..#.#.##..#.#...#..##..#.#.....####..####.##..#.#.#.#.##..#.#.#.##.#.#.#.##.#.#......#.###.##.....####.#..#.#.##..#..#.#.###.#..#.#..##...#.##.##.#.###..#..###.........#...######.#.#...#..#...###.####..#.##...####..##.#.####..#.#..#..##..####..#...###.##.###.#...###.####.#####..##.#...##.#.######.#..##....#.#.##..######..#...##..#.#.#.....#..#.#.#.#.#..#.#####..#.#.##.#####...##..#.##...####....####..#..##...#...#.###....#.#..#.#....###.####
.#.##.#..#.#.#.#.#..#.##.##.#.#####.#..#..#.###......##.#....##.#...#.#..##.#.##..#.####.##.#.....#.#.#.#.#.#..######.#.####.#..##....##..........###.#.########.#.##.##.##..###.....#...#.#..#.#.#..##.#####.#..##.##...######.#....###.#..###....#....#####..#...#...##.......#...###.###.#.###....#...##..###.###.##.##......##.#.#####..#..#.###.#..##..###.#.#...#.####.#..#.####....###....#..#.#.#.#.....##.###..#....###.#..#.#.##.#.#....#.#.#....#.###..##.##.##..#.#..###.#..##.....#....###..####.#...#.##..####.#..####...#...#..#.###.#....####.##...###.#...####.#..###..#.#..##.......####.#..##....###..#..#...####.#.###.##..#.#.#....##...#...#.#..###.....#.##.#...#######..#..#####...##.###..#.#.#.##.#..#.#....##.....#..#.##.#.#.###.#.###......#.#...####.###..#.#####...#.#...##.##..#.##.##.#...########.##.#.#.#..##.####....###...#....#.####.#.##..#....#.#.#.#.#..##.####..##.##.##.#...##......###..#..#.##.###....#..###.#.##.#.#..#.###....####..#.##.##..##..#.#.##...####....#..######...#.#.###.####..#...####.#.#...#.####.#..#....####...#.....###.###.#.###..#.#######..#######.###.#.##..#...#..##...##.###.##.##..##.##....###.##..####..##...##..#.#....#..#.#.#.#.#..###.#.####..##.#..#.##..##...##..#....##..#.#####.#.###.#.##.#.###.##.#.#.....#.###.##.#..##.##......###..#.......#.##.#.....##..####.##.#.#.#.#...#........##...##...##..##.#.###...#.#...#..##.###.#.###.###..#..#....##...#...#..##.##..#..#.####.##...#......##.###.#.#......##.##...#.#.#...##..#..#.###...#.##..#######.##.##.###.#####.#.#.#.##...#.###.###..########..#.....###.##.....##....###.#.###.........###..#..#.#.#....##.#.##..#..###.#.#####.###.#.#.##...#####.####.##...#..#..#...#..#.#..#..#.##..#....#...#.#...##..#..#..######..###..#....###.#....##....##..#..##..#....###.###...#.###.###..#.....#.##...##..####.#....#.#.##..#...##..#.#...#.#..#..#...#....#.......##.#.###.###..#.#..#.####....##.##..##.#.#####.#.##..###..#....##..##.#..##.#.....##.##...#.####..#...#.###...#.#.##.#..######.#.##.##.##..####....###.#....##
..###...#####.##.#####...###.##..#......######.....####.#.###....#.####..#####....#..#....#.##...####....#########..####..###########..##.#.#..##.##...#.#....#.#.##.##....#####....######.#.#.#..#....#...##.#.#.......#...#.#.#####.####.#.#..##....##....##..####..#.#.#..#####.#.........#.#.#.#...#...##.#..##..##.####...#.....###....###...#.#.#.#.##.....##......#...##.#.####....#.....####......#.##.#..#....##..#..#.#..#.###.#.#.##..##..#.#.#.......#.#.#.##.##.##..##.###.##.##.##.#.###.#..#.##.#......#..##.......#.##.#######..##.#####.#.##.#.....#...#.###..##...#.####.#.##.##.##..#...#.##..#..##.#.##..###.#...##.##.#####..#...#..####.#.#..##.###.###..##...#.####.#.....#.##.#....#..#####..#.#.#.#.#.###.#.#.###..###.##..#..#.........#...#..###..####..##...#.#..##......###....#.##.#..#.#.#...####.####.....###.####..#.....###...#..#..#..#..#.#.###...#####..#..#...##########...#....#.##.#...##.#..#........#..#.#..#.#.#.....########....##.#.#.#.##.###.####....##....##.#.#.##.#.##.##.#..#.#.######..#..#..#.####..#.#.##..####...###..###...#.##.....#.#.#####.###..###..##..#.####.#.#.#..#...#.#...##....#.#.......#..#.###.###.#...####...........#...#..###..#...##.###.....#....#.###.#..#..#.##.##...##..##.##.....###.#.#.#....##.#.#.##...####..#.#.##...#.##.##...#.#.####.#........#..#.#.#.##.#....#....#####..#.##......#####..###.##...##..##.##.#...#.#..#.......##.##.#.######.###...##..#......##..#####....#....#.#....###..#..#.#.######.##.##.##...##...#####.#.##..###.#.#.....##.##..###....#.##.###.##..##..#.....###..##...####.#....#...#.#.#.#.#####....#######..##...#..#...###.....####.#######.###..#.##.###..#..#####.##..#.###..###...##.###....##..###..##.##..##....#....##........##.#.###.#####...#..##.###.#.#...#.##.#..#.##.##.##..###.##...###.####.#....###.....##...##...##.##..##..#......#####..#.......#..#.####..#..#...##.....##.#####.###.###.#.#.#...#...##.#####.####..#..#####...#.###.#####....###..#.#.#.###.##.##....##.#.......###...####.###...#...##.######...#.##.#####...#.###..
.#..#.##.#.......#####..#..###...#...#.#.#.....##.##.#...##.....#....###.##..#.#.#.#.....##.#.###.#....#####..#.#.#.##.##....#.#.#.#...#..######.##.##..##..#.#.##.###..##..#####....##.......##.##..#...#.#.....###...#.##.###...#..##.....###..##..##.#.##..#..##.#...##.#####.#..#.#####..##.#..##..##.#...#.#.#.#..#..##..####..#....####..#...##..#..####...##..#..##....##...#.#....#.###......##.#...####.#...##.##..##.#######.#.######...###.#..#..##..#######..#.#.####.###....#.#...#..#........#..##.#..#.##..#.####.#.#.#...#..##.#.#...#....#.###...#...#.##..#.#######.#....####..#...###.#.#...###.##....##.#.#.....#.#.#.##.#####..##.##..#..##..###..########.#.#..###.##...####....###..#.#####.##..#....##.#####.#.####..###..##...##....##...#..#...##...####..##...#...#...#.#...######..######...##.#......#..#.#...###.##.####.#.##.#..###.##.###.#....#.#..#.......###.#..###..#...##....#.#.....#..#....###.##..##...#.#.#....#.#.###.####..##..##.#.#.#..##.#.###.###...#.#.#.##...##.#.##...#..##.#...#..#.##.#....#.#.....#..##.#.#.###...##.###..##.#.#.##..#..##.###.####.#..##..##...#.#...#.##.#.#..##..##.####.####.##.#..#.##.....##.####....####.#.##.#.###..#....###...#...#..###.##....###....#...###.#.#..#.#.##...##...###.#..#.#.##....#..#.#####...#.###...#..##..#..#...###.#.#..#..#...#.#.#..#.#.#..###.#...#.##...###...###......#####.#......#.##.##.##.###..##.#.###..#.###.#.#...#####..#.#......#....##...#..#.##.#....#......#..#.###.#...#.#...##...###...#..#.###.###....###...##....#..#...#...#..##.#.###.#...####.##.....#.####.####.....#...#.#..#.#....#...#######..##.###..##..#..#..###...###.#.#....#.###..######......#.#...###.#...##.....####...####..#.#..##...#.##.....#..##..#.....#...##..###.##...####.#####..####.##.#.##...#..####..###.....####.###.#.###........#.##....#.##.##...###.####...###.#.##.##.#.......#.##.###..##....####.#.#.......#....#.##.##...##....##.#.##...#.#.######.#.#..##..#..##.#.#.#.###.#.###.#.#####.##.##.#..##.##...#..#.####.###.....####.#.#####....###.#..#.##.##.####
#.....###.....##..##.#..##.###.#.#.##.#.#........#.#....##....###.#..#.#....##....#.###...##.#....#..##.#..#........#...##....##.#.#.#....#...#.##.##.....#..#.###..##..###.#..#.#..#.####..####.#....#....########..#.##...##.#..#.#..##.#.#.#..#.###.....#..#..#...####..#########..##.###.#..###....#####.##..#.#..##.######..#.####.######.##..##.#.#....###..#..##....##.###.#.#...#..#.##...##..#...#...####..###..#..#..##.###..#.###.##..#.#....#.#...###.###..#..#..#.......####..##.#...##....##.....#.##.....#..#..#...#....###.###.###...#.###..#.###..#..#....#....#.####.####.#..##########.##.#.#.##.#.##...###...#..##..#.#....###..#.#.#..##.#.#.#..##.###.#.#.#.##.#.#.#####.#...#..#..#.##.#.#..#.####.##....#..####.#...##..##.###.#.###.#######...##..##.#....#.#.#..#.#.#..#..#...##...###...##.#..####..##.###..##.###..#...###...###...##.##...#..##.#.#...##.#......#.....#..#.###.#..#.#.#.#.#...#.#.#.#.#..#.##...#..#...#.######.##..##..#.#....##.#...#.....##.#.##.#...#....####.#.####.....#.#.##..#......#..####....#...#.#.###..###.#.#.##.###.#.###########.##.....#..###..#..#..####.....##...####.#......####..##.##.#.##...##...#.####.####...#.#..#.###...#....#.#.#.##.##..#..###.....#.#.#####.###.####..##..###.#####..##.###...##.#..##...###...#####..#.#....####.#.#.#.#..#..####..###..#..#.##.#.#.##..#..#..#.###.#.##...##.####..##.#####...##..##.#.#..#.#.##.###..##.#..#.###..##.#..##..#..#.#..#....#...####.#..##.#.###...#...#..##.#..##...####..#....#...#.##.##...#....#####..#.#..####..#.##..###.#.#...#......###.#.#.#..#..#..####.#.###..#.#..###.#....#.#......#...#..##......#.###...#.##..#....#....##.######.#.#.#.#..#.....#..#.#.#.####.#.##...#....#####.#.#.####..#..#########.....##..#.##.#.##.#.#..###.##...#.####.###.#.##.##..#.####.#...##.###...#..#.#..#.#.####.#.#.....#.#..##.#.##.#..#...#....#......#....#.#.#.#.#.#....##...#..####.#.#.##.#.##.#..#..#..####...#..###.#....##.#.###.#..#...##.#.######.####.#..##.##....#...#..##.###...#..#..###..##..##..#.##..#.##.#.#...#.#####...#..##.#.#
#...#.##..#...#.#...##.#..###...####.#.##.###..#.#..##..#...##.#.##..#.###....#.##.###..#.###.#.#.####...#..##.###.##.####.#####..##.#.#...#...#####..#.###...#..#.#.#.#.##.#.#.#..#.##.#.##....#.##......#..###..##..#...#.#.#.#...#####.##...##..###..#.###...#..#...###.#.####...#.#.###....#..#..###.#.######.#.....#.##..#.#..#....#.....##...##...##.#..##...#.###.#.#..#.#.###..#####...#...#####....##.#.....#...#.#.##.######...#.###..#..#.#...##.....#.....##.##.......#####..####.....#....###....#...##.....#...#.#.#.....##.##....##.#...#.#.#..##.#..###.#.##....##...##....#...#...##.....####...##.#..#####..#.#.###.#....#.......#.......##..#.....####...######.##.#.#.......#....##..##..#..#####...#..#......####.....#.#.###..#....#......##..##.#..######.#.###...##..#####.###.##.###....##.#####.#.#.#...##..#####.#...#.######.########..##......###..#####.######.#.#####.###...#..##..#..####.#..#.......#####.####.#.####.##.#...###..#....############.#.###.#.##.#..#......#..#..##.#..#####..##.##...#####.#.##..#..###..#.#...#...#....###..#######..##..##.#..#.#####.##..#.###.......##..#########..#..#.###.....####...#.#..###..#.#.##...####.....#....##.#.##.#..#..#.#..##.#..##.######.###.##..#.##..##.##.#.#..##......#.##..####.##...#..#...####.#.#.####.#.#.####.#####.#.#..#..#...##...##.###..##.##.....#..#..##.##..##.#.#...#...##.##.####..#####.##.##.#.#####.#..###.##...##..#...#..###..###.####.###...##.#...#..##..##.###.##.#.#.###....##..##.###.....##.##..###.#.###.##...#.##....##.#...#..##...#.#...#.####.##.....#####...##...#..######..#.#.#.###.#####.###..#.....#.#..#.#####.#.#......##.###.#...##..#..#.#....##.#..#.#...###...##....#...##.###.#...###...##.....###.....####..#.#..#...##..#..#.#.##.......###.#.##...##.#..#.....#.#.#.....##.##..#.###.#####....#.#.##..##.##.#.#..#.##.#.###.###.##.##..###...##..###.#.#....#.##.#..###.##########.######.##..#.#..###..##.###.#...##.#......##.##..###...#####.#.#..##..##..##.###....##..#..##..##.#....#.###..#.#####.###..##...#..#.###....##...##.
##.##..##......#.##..#.....##..#.##.##...######....##...######...###..#..#...#....#.##.##.#.....###..####.##..####..#.####.#.###..#####....#.##.#.#....#####.###.#..####.....#.#..#.#.#.###.....#######.#.##...##.#..##....#..##.#..######.#.###....#.#.#..####.#.#..#..####.#.######...##....###..#..#####....#.##.###....##..##..#..#.#.......###.#.##..##.#.#.#..#.#...#..##..#..##......########..###..#..###.###...##..##.#....##...##..###.###.##.###.###.#..###.#..#..#...##...#....#.##.##.#..##..##.###..#....###....####...###.#..#.#..#.#.#.####...#..##.##...#.#...####..####.####.#.#.###.#.#.##.#.#.#..##.....######..#...###..#.#.##.##.#.##..#.###....#.#...##.#.#.#......#.###.####..#...#.#.#.##.#..##..###.#.##.##.####.#....#..####.#...########.#...####.#.#....###.#######..##.#.##...##..####.#####.#.#.##...####.#.###.#...#.##...#.#..#..##...###..######...###.##...#..###.##.#.##.#...##...##.##..#...#............####....#.##.#.##.#.#...##..###..#.#..###...#..##.#.##..#.###....####.#.#...##.##.......##.......##..######..#.#######....##.####..#...#..#..##.###.#...#..#..#.##.###.#.#.#.###..#.##....#..#.##....#...#.....#.#.##.##..#.#...#.#.##..##....####.....####..#######..####....#.##.###..##.####.#######..##..#......##..#..#..######..#.#.######..#...##.##...####..###.##.###.###...#......#.#.##..#.######.##....#...#...#.###.##...#####.####.#.#.....##.#..#.#.#....####.#.#.#..#.#...#..#...#.#.#######.#....##....#.#.#....#.#..#...#..##.##.##....#.##.##.....##.#####..####.....##.#.#..#.#.##.#....###...##.#.##..#.#.#...#.#.##..#....#..#####.###.##.#....###..#.#..##.##.###.......#..###...##..#.##...#.##..#.#...#....#...#.#.##...#..#.###.....#..##......###..##....##.#.###.#.##.#....##.#.###......#.#..#..####.##.#.##.#..##.####.##..##.#.#.#...#####.#.##..#.##..##.#.##..##....#...#..##..#.###.#...##.#..##..##.....##..#...##.#.#..##.#####.#.##.....#..####.###.#......###.##...#..#.......#.#..#...##..#####.#.......#..######..#.####..#....#.###...#.#.##.#.##.##.....####.#.##..##.#..##.###.##.#.##.
#.#..#...#####..###..#....#...###.###..#...###.####.#.###.##.#..#..#.##..###.#..###.#####.##...#####.#.#..#..###.###.......###..###..##.#.##..#.###..####.##.##...##..#..######........##..#.##.#....###.####.....#...##.######.....####..#.#.#.###.#...##..##.#...##.#.....##.##.##.#.#..############.#####.##..##..#..###..#.#..#....######.#.#..##.####.##...#..##.#.#....#...#.#.#.##....##.#.###.##.#.#.#.#.#####..#.#######....#####..#.#.#####...#.#.#######....#..#..#...##.#..###.#....##..#.#..######.#...###..#.#.....#..##.#..#.##...#.##.#....##..#..#...##....##...###...#####..#.#.####..###...#....#.##..##..#.#..##.###...#..####.#...##....##..#####.#..##..#..##.##.####...#.#.######...##.#.#..#.#...#..#.#.##.....###.#.#.###..#.###.##..#.##...######.#.######.###..#...#.....#..##..#.##.###....#.##.#...#..####..#.####....#...##...##.#.#.##.##.....#.#.##.#....###.#.#####...#.#..##.#..#.###....#..###..###.###.#..##.##.####.#.#########..#..#####...###..#...#.####..#...#.#..#.##..###...#.###.#.#####..##.##..##...#####....#..######.#.....#...#......####.##.#.#.#.#..#.#..####.##....##..##.##....###.#....##.#..#......#####..###.#.#...#.#.#.#####...#..##.....##...#....#...#.....###...#.....##.##..#######....###.##.##..###.##..###..#..#.#....##...#...#########.#....###...####.##.#.#.#######..#.....#....##.####.#.##..#.##....##...#....#.##..#.#......##.#..####.##.#..##..######.#.##.#.#.#...#..#.##..#.......#.##.#####.###..#.##....##.#.##.###.##.##.###.#.....##.#..#......#.##...##...##.#####.###.#...##...####.####...#####...####........##..###.####....##.#####...........#..#...#.######..#..#.#..#..##....####.#.#....#..##.##..#..##...##..#...#.#####....###.####.#.##....#.#.#..#.....####.#.#...#..#..##....#.####..###....#...#.####.##.######..#....############...#####..#########.###.##....#..#.#.#....#.#.#..#.#.##.#....##..##.....##.#.####...#.##....##......#..###..#.#######..##.#..#..#.#.#.##.##..#.#.######..###.#..###..#.###.##...#....#....#.#.#..##.#.##.#####.#.#....#####.###......#.##....#
###...#.#..#........####.###.##.....#...#####..##.####......#.#.#..#.###.#.#..#.#......#...##..######.#.#.#..###.#.#...##.#.#####....#####.#####.#.##..#.#.##.###.#####.#####....#.##..###.#..#..###.##...#...#...###.###..###..##...#.#.#..#.###.##.....#.#......##.#..#..#.##....#.#..#......#.###...###.#..#.##..##.####..#.####..##...###.##...#.#......#..#..#..#..#....####...#.###.#.##..###...#...#.......####...#....###....##..#..#....#...##...#.#..#.##.#.....###......#.#.##.###..###..###....#.#.##...##...#...#####..#..####......#.#....#.#.....#...####..........#..#.....#...##.#...##.#.#..##.#######..#.#.###.##.....##..###.#.#..####..#.#..#####.#.###.#..#.#...##..#....#..#..###...#####.#..#........#####...##.#..##.##.###.#..#..#.#..#..#..##.###...##.###...##.#.##.#.#..#...######..##...###...#.##...##.#.#.##.#.#..#.#....#...##.#.##.##.#.###.##....#..##.#..######.#...#..#.####...##..#.##.###.###....#..#..##...###...#######...####.#..##.#.###..#...#....#############.#....##.####....#.###....#.#####..###..##...######.......#..##..#.####...#..#..##.#..#...#..##...#.#.##.#.###..#..#.#..##..##.#.##....##.........#####.##..#...#.#.#..#..#.###.#......##...#.####.#..#....#....####.#.#...##.#...#..#.####...##......####.#..###.......#.#.###.#.#...#.#.##..#.#....#.########..####.#.###..####.#...##.##.#...#..#.#.###..###...#.##...#..###..##..#.#....#..#.##.#.###.#..#..#.....#.####.#.##.#.###.#..#..##..##..#.....#.#.#...#.#..#.####..#..######.##..##.#...####.#.###.##.#..#...###.#####.##.#.##..##....##..#.......##....##..#.#.##....##.#......#.######.#.####.#...###......#.#.#####..###..#.#...#...#..#.#.##.##..#.##.##.#.#.###..#.##.#########...#.#..##.....#.##..#....#######...#...##...##...##.....##.#.#..###...#...#.#..#...##.######..###.##.###.####.#..#.#...######.##....####.#####...####.#..##.......#..#..#####.####..##...#.#.##.##.#.#.######..#.##.###.####.##..####....###.##.##..#..#.#######...#..#####.###.###.##.#..####.#...##.#...##.#.##.#.#.#.#..#...###..##..##.###......#.####...#.##.
#..##.#..###.#...####.######..#...#.#.#..###..#...#..#####.#.#..######..##.##.#.######.##.#.#..#.####.##...#..##.#.##.#.##.#.###.#.#..####...##..#######.#.#....###.######.###.#####.......###.###.#.###.#.######.#.#...#.##.#..###.#.#####..#.#.##.#..#.##.#.#.##.##.####..#......#.##...#.##.#.###.##..#.####.##.#####.######..##.#.####.#..###....#..###.#.#.#######.#..##..##.#...#.######..#.##..##........###.#.#.##.#...###.##........####.#.#..###...#.##...#......#...##.#....#####.#.#.#.#.#..#....#.#.##.#...#..#..###.#...#.....#.##.#..#..###.#....###.#.#...#..#.##.#.#.#......###..##...##.###...###.#.#..#.##..#..#...###.##.##.#.##..#.############.##.####.#.#...###.#.#.##.......##.##.##..#####..#.#...#.#...#####.#.#...##.#.#####.##.#....#.....#.#.#.####..####.###...##.####..#..#.#.#...#........######..###.##.....#......####.#...#..####..##..#....#...##...##.###.###.###.....##..####..#####..#.##...##.#..###...##.#.###..#.##.#..##.#..##..........#.#.##..#.#.##....#....###...########.#......#..#..##.####.##.#.#....#...#####..#.###.##....#..#...###..#####.#....#......#.......######..##.##..#########.##..###..#.#.##.##....#.#..###.#.####.#.....##...#.....#.##.#..#....###..#.####.###.##.####.#.#...##...#...#..#.#.##.#.....#.##.###.#.##..#####......##.#.#...###.##.#...#..#..#..##.#....#.#.#....#..#.###.##.#....#.#..###.##..##.######.#.##..##....##.##.#.#.....#.#....#.###.###..#.#..#...###.##.#..#..#.#.#######.#....####....#.#..##.....##.###...####...##.#..#.###...#...##..#.#.#...###..##.###...#####.##.#######.#.#.##.#.#####.###.##..####.#.#.#........#..#####..#..###.#..#..#..#..######.###.#..#....#.#.##.####..#.####.....##..#.#....#.###....##.#....#.##....#..#..###.###.#.##.#..#..#..#...#..#.#...###..##.#.#.#.#..#########...##..##.##..##..##.##..#.#....#.#.#....#.##.##...#...#.##.#..#.#..#.#..#.#.#####.##.##..##..##....#####.#....##....#.#...##.#..#..##..###.##..#.###..##.#.####..##.####...#.#.##..##.##.#.#.##..##...#.##..#..#....#...#.#..##.##....#..#..###...##...#..#..#.....##..#.#
........##.#..###....#.#.#..#.#..##.#....#..####..###.#.#.##..#..#..#.#.#...##.##.....#.###....##..##.#.#..##..##.#.#####.#.###..#####..#.####.########..#.......##..##..............###...##.##.#..##.#####.#..#.##..#..#.###.#..#.##...#.####...##.####.##.....##...##.##....##...#.#.####.####.##.#.#.#............#..#..###.......###.#.#.#.###...#.#....##..##.#..#####...#.#..#.#...##########..##.###..##...##.#..#####.##..##.##..##.##.#....##.###.####.#..###.##.##.##.##..##.#.#######...#.####....#...##.......#.##.#..#...##.####.#.#...##.###......##....#.##..##....####.####.##..#..#.###.##.##.#..#.##.#.####..###...##.##.###..###.#####.#..##....#...#.#.#.#..#....##.#.#.#...#.#.....##..#.#.....#.....#####.#.###.#...#...#.#....#.###...#...##.#....#.###..####.#.###......#....##.##..##..#....###...#..#...#....#....#####.#...##.###..#..######...#.##...###.##...#..##...####.#....#.#..#...#.##.#.#.####.#.####..##..##.##..#.####.#....#.#.#..#...###.#..##..##...###...#####.########......##...#..########...#####..#.#..###...###.#...####...#..###......#..####.#..#..##..###..#..####.#...####.#.#...##...####..#.###..#.##.####.#.###..#.#.#.###........#.#..##.###..#..#..##....##..##.####....####...###############.....#..#.#..#..#.#...##.#.##...##....###.###.#.#.#...##...##.#..#.#.##.#.####.##.##..#..###.#..#.........#.######.#.##..#...#.##.##.####..###.##.###.##.#.##.#..#.##.....#..##.####..#.#.##..##.#...###.##...#..##.######..#.#.###.#..#.........#....#..##..####.....#.#.#....#.##....#..#.##...##.....###.####...#.....##..#.####.###...##.#....#...#.#.....#.##.##.##.#.#...#.##..##...##.#..#..#.###.##.##.####.##..#..######..####.#.###.#...#..##.#...#....######..##.#..##.##.##.#.####....#....##.###..###.##.#.##..#.#.###.#....###.###.#.###...##.#.###.#.#.#.#####.##..#.##.##.##.##..##.###.#####..#...#.#.#...###...#..#.#.#.#...##.######..######.#.#.##.###..#..#####..#.#.##..##.#...##..#..#....##.#....#.###..###.#.##.###..###..##.##.#..###.#######.#..##.##....#..##....###..####..###.##....###...
#.####.###..#..##.#...#.#....#.#..##.#.###.....#...##......######..#....##..#.##.#.#...###....#....##....####.#..####.####..##.##...##.#....#...####..###...#.##.........##...##.#.##..#..##...#.##..##.##.##.#.#.##.#....#...#.#.#######..#..#.#.#.##.##...##....##..####.###..##..#.##...#......#.###.#...##..#####..###.#.#.#...#.#.#..#...##.#.##.....###########....####.#.###..###.##...#..#.#....#.#..##.#.#.##..##.###..#....#######....####..####..#.#...#.#.#.###..#.###..####...#..#...##.#.##..#####..##.##..#.#..#..#..###....######.########...#####.##.####.#####......#####...###.#..##.#.###.#.##.#######.#####...#.###..##.....#..###..###.##....#..#....#.##....#.....##...#...#..#####.#.###..#.##.#.###......######.#...#..#.###.#..###...##.#....#.#.##..#.#...##.#.#....#.#.#..####.#.#.#..#.#####..#..#.###.#.###...#..#.#..##.#.....##.....####....#.....#..#.##.###.#.##..#..##.#####..###.#.##....#.###.##....##.##..##..#.##...##..###.##..#..###.##..#..##.##.###.#....#.........#..#..####....###..#####.#.#..#.##.#..#.#....#..#...#.#.##.#####.###...#####...###...###...##.####.##.##..###....#.#..###...#.###..###..#...###..#..#....#.##.##.#.###.##.#.#...##.###.###.##...#####.####.##.#.#.#.....###.#####.#..#..#...#.####.###.#.##....###.###..#.#..######..........###...#.#.##.##......##..##.......##.####..#.#.#.##.##.#...#..#.#.####....#...#.#..#####..###..#....#.####.#...###.#.###.#..##.##########......##.####.##.#....#.#.##..#...###..###.#..#.#.###..#.#...###.#......##...#.#....#..#.#...##..#..#####.##.#..#.#..#.#..###...###.####..###...#..##.#.#.##.###.####...#...#############..#.###..#...##.###..##..#..#..##...###...#####....##...##....#..###.##.####...#..###.##.##.#.#.###.#####...#.####.....###.....#.###.....#####....#.#.###....#.##..##..#.##..#####.#.###...####.##..#..#..###.#..###.#.#..#.##......#.#..#.##.##...###..##..####.#...#..##.#.##.#####.##......#.##..#.#######.#.##....###..##.##....###.#..###...##.#.##.##.###...#..###...###..............#.###.#####...##...######..#...#.......
#.####.##..##.#.#.#.##.#.#...#.####......#..#..###.###.#.###...#.#..#.#....###.#...###.##...#.#.........#.##.##.#.##.###.#####..#..#.##..#####....##.#....#.#.#...#..#.#.####.###..##.....##.###..#.##.#...###...###.#.##...#.##.#.##.#####.##.##.##..#.#....##.####.##..##.#....#.#..#..#.#..#.#.#.#..##.#.#.#.#.#..#..#.#..##.#.####.###.##.....#.#..###.######..#..#.###..##.###.#.##.....#.#....#..#.#.#.#..##...######..###..#.#...#####.#.#####...##.#.#...##.#..#.#.#.....###.######.#.##.##.####..#.######.##.###.#...#.####.#####.##..#.#####.#.####..###.######....#.###..#.#######.#...#.#.##..##.#.#.####.#.#.#...#....##.###.#.##..##..#..#.########...#.#.#..#..#..#..###..#..#.####...#.##..#..##.#.....#...#.#.#####....##.#.##.....#.#..#.##..##..#.##.##...#.#.....#.#.#..#.#.##.#....#.#...###..#....###..##..###...######.###.#.....######.##..#.#.##...###......###...##.#...#.......#....#...###.##.#...##..#..#.#....#.##.#.#####.#..#.###.#....##...###..#.##.##.##.#.##.#..##.####..#...#.#...##......##..##..##..###.#.##...###..#####.########.##.####.#.....#...##.......#..##.##....####.#..#.###.##...#...####..###.######.##...##.##.#.#.##.##.##..##.##.###...######..##..#.....####.....#.....##..##..##.....######.#.#.#.#....#..#..##.##..#...##..###.##....##....#...#.###.#..#####..#.#.#..#.#..#..#.####.##..#####.###.#..##.#....#....#...####..#....#.#.....#.###.#....###...##.##..#..#........#..#.##...#.##.#.#.#.....#####.###...######.####....###.#...##..#########..#..####.#........#.#..#.#.##########..#.###.##...#.#...##...#..#.###.#..#....##..##.#.#..##.#.#.....#.....##..##..#.##.##....####.######.#..#..##.#.##.#..#..#####.#..#.##.########.####..#.#....##......#..#.#.##.#.#..#.##.#.####....##..#.#..#.###..#######.#..#....#.#.....#...#..#...####.#..#.#.#####...##.##.....######.#.#...#.##..##.###...#.#.#.....####.......#.#.####..#..#.#.#....#..##.####.#.#....###....#....#.#..#.##.......##.##...#.#..#..#....#...####.####..#.##.##...###.###..##.###.......#.#.#.#..#......##.##.###.#.#..####.##.##...
..#..##.##..##.#.##..######...##.###...#.###...##..#...###..##....#.#.####..#####.#....##.##.....#.#..##.###....#..###......###..##.#...#...##.#.#..#.###...#.#..##.#.#....#.....#.#..#.....#.####..#....##.####..#.#..#.....####.##.###.###...#.#.#.#.#.####..#..#.#.#......#..##.....####.##..#.##..#.##..#...#.....##...###.#...#..##.###..###...#...##........######.#..#.##....#..########.##.#.##..#...#.#...####..###.##.#....##.####.##.##..##...###...####.....####.#..##.######.#.#.#..#..#.#...#.##.....#..###...###.#..#.###.##.#.#.#.###..#.#..#####.###....#....###.#..#.###.....###.##.#..#.###..#.#......#..#.#.#......##..#####..####.#.###.##....######.#...#..###...##..#.#.#.##.##.##.#...##...###..##..##..#####.....#..####.######.#..#.#....###.##.....##..#.##..##.###.###.#...###.#.#..#..##.#....#.####..#..#..#.#..#.#.##....#.####.##.#..#....#..###....#....#.##.##.####..##.####..#.#....#.#####.###..#.###...#...#.....###..####.#.#.#####.#.#..#.##.#.#.#.##.#.....#.####.#.#.#..##......#########...#.#.#..#.....###.###...#.#...#.#.#...#..##.#.###.########.#.#####..####...##.##.#....#####.#..#.####...#.####.##.#.##.......###...#...#..#.#.....#.#.##.#####..#..##.###.......#...#..#..#.#.#.###.#...###..###..###....#..####..##.......####.##.#.#.##.######.#.#...#....#..###...###..###.....##.##.###..#....##.....#.......#..#####.#.#..#.....#####.##..###.#.#.#....#.#.#..##.#...#....#......#.###....#.#.####......###....#..##.#.##.##.#..##.###.#.....#####...##.####..#####.##..#..#.####.##...##..#....##.#.##.#.#.#..#.#.####..#..######...#....####....##........####..#.####.###..##.#.##...#..###..##.#.#.##..#..###....##.##.#.##..#...#.########........#####.##..########..#..#####.#.###...#.####....#####.#.###.##...##.#.###.###...####....#.#..###...#...####.....###.##.####..##.##.###.#.#...#.###.##....#.#.#..###.##...###..#..#..##.##.#.##..###....##.#..#.###..##...####.#..##.#.##.###.##..#....###..#.#.#.#..###..##.#.##..#..##.###.###.###..#....#..#.#.#......##..###..##.##....##.#...#....##....#.##.
.#.#.#.#..#....##.###.####.#...#..##...###..####...#.#.##..#.####.#.###..###..#...#########.###.#.....##.##.#.##..##.#.#.###..##.##.....##..#.##.#....#######..#...#.###..#....###..###..###....###.##.####.####.#..#..#...##..#...##.##.#..####.###...#..#..#.#.###.#..#..#..#...##....#....##.##.#.##....##.....#....#.#..#.###..##.#######..##..###...#.#..#..#.#.#.#.#..#..#####....#.#.#.#..#...###....##..#.####.#.##..#....#.....##..#.#..#.#..#.#..##.###.#.####.#...######.##..##.#.###.##.....#.........#..##.#.#.#.###.#.#..##.#..#..##.##.#.##...#.##.#.#..#.##.#..#..#..#.#.###.....#######..##..#..###.......#####.....#....#.###.#.#...##.#.###.#...###..#...#...#....###.....#...##....###.##.#####..####....#.#.#..#.###..####......##..##.#.####..##..#.#....#.#..##.###.##.#...#..##..#..##..#..##..#..##...#.#.####.#...####......###.###...#######.#.....#.#.#.####.##...##.....##..#...#....#.###.###.##..#.#.#.....###..#..##.###.####.#...##.##..##......#.####.####.#....##...#.#.##...#......#.#..#...#.#....#..#.#...####.########....#.####..#.#....##.#.###..#######.##..#.#.##...##..###.....#.#...#...#....#..#.#.##.#.##...#.##...##..#.###.#.##.###....#..##.#.##.##.##...#...##..#.####.#.##....#.####.#...#.#.####...#..####.#.#....#..###...#.#..##....#..#.#####...###.##...###.###.#.#...#.##.###.#..##....#..###.##.###.#..##.....#...#.....#####.#.###.#####.######.#.#..#...........##.###.#......###...##........#..##......#####....####.###...#...#.....#.###..####.#.#..#.#.#.######.#....#..###...#..#......#...###..###...#.#####...##.##..#..##.#..##.##..###.#.####...#.#......#.##..#..##.##..#.##.####.#####.#.####.###..###.##.#..#..###...##..##.#..#...#...........######.###.##.###..##..#.##.##..#.####....#.#.######..#.#..###.#..#.#..##.##...##...#.#.####.##.#..####......#.#..#..##..#...##.....####..##.#.#.####.#########.#.##.#.......#.#.##..#.....#.###.#...#.####.####.##.##.##...#.##.....#....###.#......#########.#......###....#.####.##..##.#..##.###..######..#.#.#..##.#...#.####....####.##.#..##..##
#.#.#.#....##..##.#......##....#...#.####..##..#..#..###..#..#.#.#...###########..#.#..##.#..#..#.#.#.###..#.###########..####.....######.#####.......###...####.##.##.####.#.###...###.#.##.###..###.#.....#.#.#...#...###.#.#.##.#..##.#.###.#..#...####.#.....##..#...#.#.#.##..####.#.#..#.#.#..##.##.#....#..#..##.#..#..#....#..#.#.....#.....#.###...#..#.###..###.###..#..#.######..#.##.###.##.#.###...#####.#...######.#.##.#.##..#.....#####.#..##.##.#.##..#.#...#..##.##..####..#..##..##.....#####......##.......#.###..#.#...##.#.##.#..#.#..###..#..#..#...##.....##.###..#..#.##.##.#...#.#.##.#.##.#.###........##.##.#.#.#...#...##.#...##.#..##.#....#####....##...##..#.#.#..#.##.##..##.#.#.###..#.#.###.##.#.#.#.#..########...#..#..####.#.##.###....#####..##...#..#...##..#..#..#...#...#.#..#.#....####...#.#.#...##.###.###...#.#..#####...###....#.#......##.###.#.#.#.##.###....###.#####.#..##....#.#....#.#.#.#..##.##.###.#...#.##.#...##.#....#...#####..####...#.##.#######...##.##.##.#.##.#.#...###.###.#.#.##.#.###....#.#.#.#..##.###.##.#..##.#....###.#.##.#.####.#...##.#.##..#..##...##.#.#.#...####...##...####..##...####.##...#.#..###.###.##..#..#...###..##.###..##.##.#####.###.#.#..##.####..##......##......#######.##.###.#...#..####..##.#..###.#..#...#.##..#.......##..#.#...#..##.#.###.###.##...#.##...##..#....##.#.....##.##........#.#.#.#.##.#...##.#.##..#.#.#.#.#.##...##..#..##.#.##.#.##.....##.#.#..#####...#...#####..######.....####....#.##.#####.#....##......#..##..##..########..#####...#...#.#....##.###..###.#....###.##..###.##.#....###..#..#.##.###.#.##..#..###..#....##.#..##....###.##.#..#...##..........##..#..######.....#..##...##.#.##..##.....#.#....#...#.#..#..###.##.#..#.#.#.#.#.##....##...##.#.###..##.##.....#.#.###.#.##...#.#....####.##.####...##....#.#...#.#.#.#.##.#####.#.#.#.###.##...##.###.#.....###......#..##.#####.#.#......#.#.#...##...#.###.##..#...#.###.##..#..##.##.##.###..#...#..###.#....####.#...##...#.###...###...##.#....#.#..########.#..####..#.#...##
##..#..##..###....##.###....#..###..#..#######.......#####..#.###.#....##.####..###.#.#....#......######.#.#######..######..#...##.#.#.##.###..#..#.##.#..##..#...##...#####..#.####...##.#.....#.#.#.#.#.#....#..###.##...##.#.###.#..#....#.####.#.#.##.#....###..#.#..####..##.#......##....###..#.###.##.###.######...##.#.#.##.#..###.#####...##.#..#...##.#.#..##..#.#.##.##.....#..#..#..####.#.....##.##.#...##.#......##...#.......###..##.#....#.##.##....####..##..##.#.###.#.##......###..#####.#.###.#..#..#.#.##..####....#..##.#.#.###.#....####....#.#.#.##.###.#.##..######...##...#..#..##...##.####.##...######...##..#...#..#.####..#.#.#...#.....#.###.#####.....###..#.#..##..#.####.#.##..#######...#....###.#.#..#.#....#....#####.#.#.##.....######.#.#..#..#..#.##.##..##.##....###..##.##.#.#...#...#####.#...#..#.##..#...#.#.#.#...####.##.###.###.#.###.###..##.#......#.########..#..#..######..##.#.###.#...#.#.#..###...##.###..#.##.##.##.######.#..#.##.#..#..###...#.###.####..#.#.###.#...#.#..#.#..##.#..###..#.#.#..#.##.#####.##.##.#..#..###.#####...#.######.#.#####...#....##..####.......####....#..##.#.#.####.#.####.....#..#..#.#...#####..#..##...##.##....#.#.##.##...#..##.#.#.#..#.####.#.##.#..#..###.##...######.#.#.##...#..##.......#.#.#.#..#.#.#..####.##.##.##..##.####...##.#.#...##..#.##.#.##..######....#.##.###.######....#..##...##..#.##.####....#....#####.#.#.......#......#.##...#.#.##.####.....#...#..#.###..#.#####..##..#.#........#...##...##....#.####..#..##..##.##.#.##....##..####....##.######.###.##.#..#..#.#.....##..#####.#..###.#....##.##.#...###.####.......#.###....##.###.#####...##..#...###.####.#.#.#..#.#....#..#.#.##.##..##...##.#.###......#....#.####..#...#..###.##...#...#...####..#.##.##.#.#.#.#.#.#.####..##...#..#..##.#.##....##..##########..#...#....#####.#...#.###..######..#...#.#.##..##.#.##..........#.##.##...##.###.#######..#.####.###.#..#..##.#...##..#..#.#....###.##..##.#.....###....###.#..#.#.##.######.#.###.#.##....#####..##.#...#.#.##.##.###..#...#
#.###.###....####..#.#.##..##.#.#..##..####.####.#.##..###.#.#..##.###.##.##..####.#.......#.##...#.#.#..####.#.....##.#.#.##..##.#.#..###......###.###.###.##....##.###.#..###.###.####...#...#.#.######.#######.##...#.##.....##.##..#..###..###.#...#.##.#..#...#.##...###.##.#.####.#.#...#...#######.###....##..##.###.#############.#..##.#.##.#..#...##.#.#.......#.#....#.#.#...#.#.......#.##..###.#..##.#..#.#.##..#.###..#.###.###....##..#####..###..###...#.#.....#.#..##..#....##.##....#.######.#.#.######.###.#....#####...##..##.......####.#..##.#...#..#.#....#..##.....#......#.....#.##.#..#######.#.#.##..#.#..##...#####.###.######..#..###..####..##.#..#.##.#.##........#...#.#....#.#.#.#....#..#.#.#.##.#.#..#.#......#.#####.#.#..##.......#..#..#.###..#.....##..#.#.##...##.#.#.#..##.#.#.#.####.###..#.....##....#..##..#.#.##..##..###..##.....#..#.##...#.#.#..#...#...##.#####.#.#.#...#..##.#.#.##...##.....###.#.#.#....#...#.####..#.##...##.######..#.##..#.###.##.....#.#.#.####..#.###...#.#...##.#..#..###.###..##....#.#...#.#......#....#..#.#.##.#....#.#.##..#.......###.#.#..##.####..####.#..##.###..#...####...##.#...###.##..##...#.##..#.##.##.###.......#.###.###.#.#...##..##..#.#....#..####.#.#..##.#.##.##..##....##.#.###.##..#####.##.####.#..#..##..###.#.##.##..#.#...#...##.......#..#......##.###..##.#..##.#..#..#.####..#.#.##.##...##..#...##.#####.###..##...#..##.#.#..###.#...#.#.###.....#....##...#....#..#.###.######..##...#..###.#.#..##..#####.#.....###.##.####..####....###.####.##..#.######.####.#....#..###..#....##.#..#######...###..#..##....#...######....#.#.......##.......####.###.###.....#.#....#.#.###.#.#.#..##.#######.#...#...#....#.###.#####....##.#...####......#..#..###.#.###.#.##.#.####.###...###.##.###..###....##..#.....#...##..####.###..#..#...##.##.##...#.......#..#.#..#.#.###..###..##...##...#.####..###.#....#.#.#####....#...###..###.#....##..#..###.#..##.###.####...##..###.#######.#...##..###...####.####..#.##.##.##.#.#.#####.##..#.....###....##.#...#...#
..###..#.###.#.##..###...#.#.#.#######..#######..#####.##....#######.#......##..##..##.##.###....#...#######.#.#...##..#.####....#.#...#..#..#.##.##....#...#.###.#...#.#......##.#.#..#...##..###.#.#######...#####.#.#.###..#.##...#.#...######....#####..#.##...#..##.....##..#.###.###.######.#...####..###.#....#.....#..#..#.#..##.#...#.#####.#.##..#########...#.#..######....#..##..#..#..#....###.#..#.#...#...##.##.##..#..######.#......#...##.##.#.##...#.#.....#..........#..######....#..#.#.#.##...#..#.#......###.#.###.##....##..##.#.#.##########.#..###....##...#..##...#.###..##..#####..###.#.###..##..#.......#.##.#..#.#.#..###..#..###.#.###.##...#..#..#####.###....#.##..#.#....#..#####....###.#...###.###.#...##.#....###......#.##.##.#.####..###.#....#.#..##.#.#..#######....#.....###....###...#..###.#.##..##...#.......#..#....#.#...###.##.#...#.#.#####..#..###.#.##.###..##.####.....#..#...######.#..##..#.####...#..####.#...###.##...##.####.####...#.......##.####....######..##.#...####...######.##...#...#.....#.....##.#####...#.......###.#.##.....#...##.....##.###..###.###....##..###..###..##........#....###.#.#....#....#.##.######...#.#...##.##.#..#.###.#..#.#.#...##.##..#.#..#...##...##.#.##...#####..###..########.#.##.###.####.#..#.###.#..##..##.##.###........####.#.#.#...###.#.#.####.#.#.#####.##.##.#...#.#.##.#.#.#..#.#...##.#......#####..##.#.#..#######.###...######.##....####.........###.##....###.####.##.##.###.##...#.......#.#...#.#.####...#.#..##........#...##.#.#.##.#.#####.##.###....###..###..#..........####.##.#.#.##..#...######.#..#......##..##.#..####.###.............###########...#.###....#..##.#####.##....###...###.....#.##.#..#.#.###..#....##.##....###.##...###.#..##......#.##...######.#..#.##.#.#..#.##...#.#.#####..#..###.##.##..#..#.##.....####.##.###..###.......##..#...######..##.#######...##.##...#.#.#.#....####...#.####...#.##..##.#.#.......#........#.###.#######.#.#.##.#.#.####.......##..##.##.#.#..#..##....##...#..#######.###..#....#...#......###
#...##.#..##.#..#.#..##.##.#.#..###..#...##.#.##..#.#.#.#.###.#..##.#.#######..####..#.######..#.#.#...#####..#.###.####..##..#.#.##....###.#..##..###..##.#.#.###....#.##..######..##.#####...#####.####..#.#.#..#.#..#..##.###.#.#####.##..#######.#.............#..##.##.......##.###..##.##..#...#.#####.####..#...#.###....#.#....######....#...###.######.#....##..#.##...#.#..###.##..#.#####......##...#.#......#..#..#..#..##.#..##.#.##...#......#.#..###.##.#..#.##.#.####.##...###.##.##....#.##...#.#.#..##..#.###.#..#....#...#...##.####.###.##.#.##..#.##..###.##..#.######....#######...#......####.#..####...#...##.#...##.#.#...#####..##...####.####..##..##.##..#.#..#.#..###...#..#.####....#.##.###.###..#.#..#.#...#######..#.##..###...##.#.#.#.#...##.#...##..#..##.......#....##.##.####....##..#....###.#....#....#..##....#..#.....#..##.#.#.#....######..#####.###.##.##.########.#..#.#..##.##..#......#...###.#.##..#..#...##.....####...##..##.###..#.##.##...###.#.####.###.....####.#...#.#######.##....#.#.#.##.......#..##.#.###.##.#..##...#.....#.##.##....###.###...#####...#####.##....##..#.##..#.##..####.###..###.....#.#..##...##...##.#.#.#....#....#.....#.###..#.##.##..#.....##....#.##......#.##...###..###.#.#.#####.##.#..#####.....#.#..##..#.......#.........#.#.......#.###..###..##.##.##.##.##..####.....#..##....####..#.##....##..##..######..###..###############.######.##.##.##..##.##....#..#.......####..#.#...##...#..#.####...#######.##.######...###.#..#..#.##..#.######.##...#.##....#.####.#..#...##..#..##.#.##..#..#.#..#.#####.#..##...#######..#..#.##...####.##...#..#.#..#....#.##.######....###.#####.#...##.#.###.....#..##...#.#......###....#..#.#..#####..#..##..#..###.#...#.####.###...#..####..####...###.####.####.......######.##..#.#.#.....###......####...##.##.#.##..#.#.##.###.##.####.##..#.#.#......#.#..#...###.#..#...##.##.#####.###.#.####..##.###....###.#.#..#....##...####.....######.##....###.#.#.#.....##...###.##...##....#.#..#.#.#..##....###.#####...#..##.#.##..##.#
#.#...#...#.##..#...#...##..##...#.####.####...#..#.#...#...#..##.#....#..#....###..#.#....####.#....###.##..#.###.#.#..###.###.##.#...####..####..##.....##...#...#.....####.#####.####.#....#.#..#.##.#..#.##.......##...####..#...####...#....#.#..#.####.###..####...##.##...###.#######..###..#.#..##.##.#.#####.####..###.#####..##.#..###..##..##.....###.#.#..#.##.##.#.###..#####..##.#.###..##..#...##.#.#..###..#..##...#######.##...#.#....#...#.#####...#...####.######.###.#.#.##.#######..###.....#.##.#.....###..#.####..#..##.#..#..#....###.#...#.#...##.##...#....##.#.#.........#........#..###...##....##..#...##.#.#.######.##.##..#..#.#.#####..##.####.#.#.###...###..###.######.#.....#..##..#..####.#.##.#..#....#.#####...##...##.##..###....#.#####.##..##.###...##..###.#...#.##.#.##.####.###.###..#...#...#.#..........###..####.#.###..###....#...#.#.##..#..#.#.#.###..#..#.#.######.......##..##..#...#.#..###..##..#####.....########...##..#####..##..#......#....#....##.#.#.##.#..##.####.##..#.#.#.###..#..###..###..#..#..#........###.####....##.#.##..###.#..#.####.#.###.#..#.....##..#..##.##.#.####.#.##..#.#.#.##.#..#.#.#######.##.##.##.#.#...##.#..##..###.#.#..#.##.#.#.#....#.##.......#...##..###.......##.#....#.#....#..#..#.#.###..##.#.#.##.#.###.#.##.###.#...##..##..#####....##.##.#.##..##.#.##..####.#.#..#....#..####.#..#....#.#.##..##.......#.###.#.####..###.###..#....#.#....#.##..#.########..#..#..#..##.#.##...#####..#...##..######..#.....#####.###.#.###.#.#.....#.#.#.#..##....##.##....#..###..##.#.#.##.##.....####.####..#.#..##.#.#..#...#.#.##.#.#..#.#.#.#...#####..#.#.##.#..##.###..#.####..##.....########..#.##.#..###......##.##.#.#..###.##.#.....#...#...#.##....#..###.####..#..####..###.####.........#.###...#.#.#...#.#.##........##....#.#.#.##......##....##...#...#.#..###.####.##.##.######.#....##..##...#...##...#.###.#..#.###...#..####...........#...#...####..###.###.....####.#.......#...##.#####.####...####.....####.##......#...##.#.#.#..##...##..##.##.###...#.###.#
..#..###.#.#.##.#.##.##.##...#.##......###.###.######.##...###..####.###..#........###.#.#..##.#..#..##.###.#.##.###..#...##...#..#.#..#.####.#..#.#.#..#..##.#..#.##.#.###.##..#.##.##..#.###..##.###..#.#.#.##....#.#...#...#.#..#.#...#.###.#..##....#.#.#..#.#.....#.####.#..######.#....####..#.##..##.#.#..###.##.###...#####.......###...#..##.####..#.######..#.#.#.##.#.#...##....##.......###.###...#........#..#.##.#######.#.#...#.#.....#....##..#..#...#..##..####.#..##.###...##.####....#....##.#..#.#####....##.#....#.#..#..####..#.##..#.#...##.##.##..##..#..###.##.#...........##.#.......####.##.##..###.####..###.....#..##..#...#.#.#.......#.#...#.#.#..#..#.#.###..#..#..#.#..#.####...#..#.##.##.#.##.##.##.#..####.....#.#.#...#...######.#####....##.###.##.######..###..####..##..#.....##..#.#.####.#.##.#.###.#....#..###.##.#.##.###.##.##.###.......#.##..#.#..#.#..#.##.#.##...####.#.#####....##.##...#.##...#.##.##.#.#..#####.#..###.###..##..##..#.##.#.####..#####.##.#.##.#.#.#########.######.##.....#.#####.#.##.....#######.#.####..#..#.###.##..###.##..##....###.#..##...##.##.#.#.#......#.###.##..#.##.#..#...#.##..#....###.#.##....#.#......###...####...#....#....#..#.#..#...##..######.#...#.#....#.#########.#.#.#.#....##......#.#.#..#.#.....#....#..###...##.#..##.#....###.##..##.##..#.#.#.####.###.#..#####.#..##.###.#....#.#.#.##..##.##....#....#..##..#####...#..#..#...#...##....##..#.##.#...##.###.##.#..#.####.##.#.#..##..###.#.####.#...####..######....##..##.#.#..##...#######...#..#.###....######.##..##......#.....#...#....##..##.####..#####.#....##.##.#.#.#....###..##...#.#.#..#..##.#...#.#.#.#.##.#.#.####.#..######..#.##.#.#..####.##.#.#.##.#####.##.##..#...##..####..##.........#.#.###..#..#......#.....#.........####..#.#.#.#....####...#...###.#...#..###.#.#.#..#####..##...#..##..#.#.#.##.####...#...#.#..#.#####...#####.##..###..#.#####..##.#....#..#..###...#...#.####..#.#.....#.###....####...##..##.#...#..#.#..#...##..#......#####..#.#..##.##.#...####..##...##.....#...
#...#..#.#.##.#####.#..#.#.##.##..#...#####.##..#.##..#.####.##..##.######.###.##..##...#..##...##..#.###.##.#..#....########.####.#..#.####.#.#..#.##.######.###.#.#.#...##.##..#.###.#..#.#..#..##..#..##..#.###...#...#.#.#.#...####.#....#.#.#.###..##.#....##...##..###..#.#..##...##.###.###.#.#.#....#.#.##.####.....##....#####.##.#.##.#...#..#...###.#...####.#.###.####..#..#..#...##.###..###.##.####..#...#.#.##.#.#..#..###.######.#..##..###.#......###..........#....###.#...####....#.##.####........##...#..##.##.....#####.#.##....#....#.#.###.#####...#.......#....#..#.#.#...#.#.....#.########.#.#####..#.##.....###..##.##.#.#..##..###.#.#..###.#######.#.####...###..##.#...##.###.........#.#.#......##....####.#.##..##.#.#.#.#####...#.###.#.#..###.#.#...#######.#.#..#..#.#.###...#.##..#####...######..#.#........#...#..##...........#..##.###...#.#######.....###.....#.##......#..#####.......#.######.#####..##..##..#.#..###........#.##....####..##.##.##.#####..##.#.......#..##...##..##...###.###.#.........#....##.##...#.#.##..##..#.#.###.##..######.##.#####.####.#........##.#..#...##..#...####.#####...#..##..###.###..............#....#.#.###..##.#.#.#..###..######.#....##.#.#.#.##.####.####.##.#.#..###.#.##..###..##.##.###...#######..#..#...#..#..#.#.###...##....#.#.#...#....###.####....#.#.#.##.#.....#....#..#..###..#.####..#..##..#...#.#.......#.#...#.#.#.###..#...#...###.#.##..####..#..#.....###.....#.....#..#........##..##.####.##..###.###.##.#.######...#.#.....####.##...#.####...#.##.##.....####.##..##.##....#..##.##...##..###.#####.#..#..#.###.....##..#..#..#..#.##...###########..##.#..##....###.#########.###.##..##.##.#..##.#......##..##.###..#....#.#.....####.###.##..##..#..##.#...#.##.####...####...#..###.#..##....#.#####..#...#.###........#.####.#.#.#...#.###.####..#..#.##...#.#..###.#.#.#..#######..####..#.##.#.#.....####.###....###..#.#..#....#.#..#.#..###...#.#.#.#.#..##.#.##..###.#..#...#..##..#...##..###...########..####.#.######...#########..##.####...##.###
...###.#..###..###.##..#..#.#.##.###.#..#..##.#.##.##.#...##.#..##..##.##.....#...##.#.#..###...###.....##.###.....#..##.####.###....######....####.##...###....####.#.#..###.##.###.##.##.#.####...###....#...###.##.##.#.##.####..#.......##.###....####.#.###.###..#...#.##.#.#.......#..##...####....####.##.##.##.##.#..#.#.#.....##..#..#.#...#..#...#.##.#######...##.###.....#.#.#.#.####.###.##...#....##...#####.##..##...####...##.##.#..###....#.....###..#.####.##...#....#.#.###############.#..###.####.#.####.....##.###.#######.####..#..#.......##.########.##.#.#.##..##.......#.##.###....#####.##.#..####....#####.#.#..##.#..##.##..###.#..#####.......###..##.#####...##.#..###..#.###.#.###.####...#.##..#...##.#.#..##....#.......#.....#.#####...#...#..#.##.#.##...#.##........#..########....###.....#.###..#.....##..##.#...###....#.#.#.##.#.####.....#....###..#.###..##..#.##.##.#.#.#.#...###..#.#..##.#.........##.#.#.#.####..#..##..##.##......###..#.#.####.#####....#.#.#####.#.#...#...##......#.#..##..#.#...####.....##.#..##.#.....######.##.#.#..#.#...##....##.....#...##.##...#.#...####.#..#####.#..##...######....#######..##.#...#...#...#####.##...####..##.##..#.##.#.#.#..#.#####...###.##.#.#.####..#.##.#..##..#..##.###..#.###.###..###.#.#....#.###..#......#.##.###.####.###.#..###.####........###.#.#.######..#.##.#####.####..#.#...##..#.......##..####..##.####.##..######..##.###......#####..#...##..#.##.#.#.##..#.#.###..#.###.....###...##....#############.#..#.#.#.........#..###.#.##.###..##.##...##.#.#..#.....#..#.###...#...###..#...#.##...###.#.#..##.#..#..#####.###..#.....###.#.......#####..#.#..##...#..###.#.#...#.##..###...##..#..###.#..##.##.###.##..#.###....##..#.....#.#.....##..#.##.##..#.#####.###...#.#.#.....#..##.....#######..#....#..#.#.#####..#.###.#...#...####...######.#.#####..###...#...#..#####..#..#..###..##..#.#..#.....##.#..###.#.#.###.#.#...#.#.#....##.#..##..#....#.###..##.#...#####....#.#.#..........#..#....#...####.#..#.##.#.#....#####.....##.####.....#
#.###...#.##..#..#.##.#..#...###..#...###.....##...#.#..##......#.....#..###.#.......#.###..#..##....#.#.#..#..###....###..#.#.##.#.#..#......##.####.##..#...#.###...#.#.##..##.##..#.#.#.#.#.###.#..#..#.##..##.##..#######.###.#....###..#.##.##..###.###..###.####.#..#.#.#.###.#...###..###.#..#.#.####..##.#...#.#.#..###..#.#.#..##..#....##.......#....##.#.#.##.#.##.##....#.##.......####.###.####.#.##.#.##.#..###.##.#....#.#....##.#....##..###.#####...##..######..#..#..#.#.#...#.##.##.#####.#.#.##.###..####.###...#.#.#..#...##.##.##.##.##.##...#.#..##.###...#.#.#.#...#..#..##..#..#...######......#.#..####...##.#....#..#.....#.#..#########.#.####.######.#.#....####.#######.##...#...#..####.###########.##..###..#..##.#.##.#..#.#....#..##.##.#....#####.....##.##.#.########...##..#.#.#...#..#.#####...#.###.##..##..##.#..#.###.#.##.#..##...##..#.##.#.#...#...##.#..###.##.#.##.##.#.##.##.##..##.#.......#.#.##....##....###...###.##.......#.#..#.####.####.###..##..##...#..#.###.#.#.####.####.#....#.##...##.#...#.##...##...#..#.#.#..###.####.#...#.##.#.#.....#.##.#.##.###...#.#...##..#.#.#.#..##..#.##...###.###..#.##.#...###..#....####.###....##....###....##..#.#.....#.#..#.##..#.##..##....#####.#..#...#..#...##...#.##..###..####.#...#######......##.....#######.##.##.#..###..##.#.......#.##.#...###.#..#..#..#..###..##.#.#.........##...##..##..##.##.......#######...#....##..#.#.##.###.##.#.###..#.#..##....#.......####.#..##...#...#.#....###..##.##.......##..#..#..#..#.##...#...##.#.####.....###...#.##.#..##....####..#.####..####.#.##.##..##..##...#..#...######.##.#.##......##.#.#...#.#...#.....##.#####.##...#.##..###....#...#.#.....##.#.#..#.###..........##.###..#.##...###.#.#.###....#..#.##...###...#.#..#.#.##....#....#..##.#.####...#...#.#...#.#######.#.#..########....##.##...####......#####.#..#...##...#.#......#..##.##..#.##.#..#.#..##.#......#######.####.....##..#......#..#.#...#...########.#.#.#.#.#..###.####.#....#..##.#...#.....#####.#.###.#.#....##.#.##.#...#.######....
..#.#..##.##.#....##.##..###.####..#.##.##..#..####...##.#.##....##..##.####..##.#.##..........#.##...###.#####....#...#####....#####..#...##.#..##.##.#.##...#....#.#.#.#..######.####........###########.#......###.....#.#.#.###.###...###...#.##.#.#....##.#.####.#...#..###....###.#.##.#.#.##.#.#....#..##.##.#.#..##..#...#.##...#.##...#.....##.#.##.##..#.##...#.....###..#..#.######.##.#.#..###.#..#..#...#.##.###.#.##.###..##.#.#.###.##...###.#.#..###.#..........###..##.####.#....###.##......#.#.##..##.##..#####....#.###...#.#.##....#.####...###.#.#.#...#..#..##.#####...##...#..####....##.####.#..#.#....##..###...#.####..##.#...#.##.####.#####........#.##.#....#.....#..#...#..###..##.######...###.#.##.#.#...##.#.#...##..####.###.###.#...##.######.#...#####.#...#...##.##.#######.#.##..####..#####...####.#...#...##...#.#....####.#.###.#.##.#.#..#.#..###...###..####...#..##.##..###..#...#######.##.#....#....##....#.#..####.#...#..######...#...##.#......#####..#.###.##.##.#.##..#.#..##.#..##.#.#.###.#.#...#...#...#..#.#.##.#.##.#.#....#.#.#.#...#..#.########.#.#..#....######.##.####..###....###...###.#.#.####..####...#.####..##.###...#..##.#.##..##.##..###..##.#.###.#.#.....##...#....####..####...#.#....##...###..#.#######....#..##.#.#.#####.#..###.#.#...#.###.##.###..#.####.###.###.###.#..#......#..#.##.#..#.####.###.#..##...#...#.#####.#.##.####.....#.#.#..######.##.####.##..#..#.###..#.########..##..###....###.#.#.###.##.#..##...##......#...#.##.###..#..##...##..#..##...#.#..####..#.##.#.#.###..#..####.#######..###....#.#..#...###.##......#.####.###..#..#####.#..#.#.#..#.####..#...#..#..#.###.##.#..###.....#.#.#.#.###....#..#.###.#..#.#...##..##..#..##.#.#.......####..##.#..##.##..#.#..###...##....#...#..##.#..######..#..##.###.#..####..##...##########...#.#.####.##.#.###....#..#.....##...##..##.#..#..#..###.#....##....##.##...###...#.#.#.##...#..####.#.#####...##.#..##.##...##.#####..#.###....#.###..#.#.....###...#..###.....#..#..#.##.#..##....#...#..###..#.#...####..#
.....##.#.##.....#####.#.#..######.##..#####.#...#.##.#.##..##.##...##....#.######.#......######....#.#.###....#..#..##.###..##.#.#.##.##..##.##.#.##.#.#.#..###.##.###.#..#....##.#.....######.#.##.##.##...#######..#.###..###.###.#.####....#...###...###...#.##...##..###...#.#....##...#.#.#.###.#.#.##.##...#...#..##.##.#..##..##..###..#.#.#.#....#.#.#####.####.#....####......#..#.##...##.##...#...#.#.#.####.####.....####......#..###..#..#..##.#..#......##.#.###.#..##.#.#.#..##..#..#...#.######.#####.#..#..#.###.##.###.####.#.##...#..#..#.....##..##..##.##.#.#...#.#.....##..#..#..####.#..###.###...##.....##..####....#.#..#...#......#.#.#.#.#..#..####..###..##.#....##.##.#..#.##.#.##.###.#.##..#....#..#.....##.####..###...#...###.####.......#.....#....#######..#.#.#...##....#.###.#.#..#..####..#.#.##.#...#..###...###..##..#..#.#...##.##.#.####...#.#..#.#.#....#..#.##...#....#.##.#....##.##..#.#..####.#.#....#.#..#.#.###.#...#####.....#.#..#..#..#.#.###.#.###...#......##..##.###..#..#.#...##..##..###.####.##......##.#.#...#####.##.##.#..#.#.##.##..#...####.###....#.##.#..#..##.##.##.##.#..##.....####.#########.#.#.#.#.....####..##.#.##.#.##.##.###..#.#...#.#..#.#.#...####.#.####..##.....#.....##...###.#.#....##...##.##.......##.#.#..#.###...##.#.###.......#.###.###.###.#####.#...#.#.##...###.##.#...###......#..#..#.#.#####.##...###.#.##....###.#######...###...#.####...###..##....##.#.####..##.#.##.###.#.#....###...###.#.#.#...#.#.###...#####....#..##..#.###....#.#.#....#####....#.##..#######.#.##.#..#...###.#..##.#..#.##.#.#.##.#.####..#.##..####.......###.#.#..#....###...##..####.####..###..#....#####.#.#..##...#.#.####..##..#..#####......##..##.#..#####...##.#####.#.....###...#...#.#########..#.#..#.##.#..#..............#..#.#.#.###.#..#.##....#....##.##.###..#...#...#....#.##....#.....##...########.##..##.#####.##....#..#.......#.####.##.#.#..##.##..##.....#..#####...#..##.#.##.#####.#...###..#.##..####.####....#...##.##.####...#..#...#..#..###.#..#.##...##.##...####.
###....#.#.#....#.##.#####.#...###.###.###..#.##.#.#.#...#..#.#.#..#.#..###..##.####.#...##.....#.##.#...##.##..###....#..##.#........#..#####.#...#.#.#..#.#.####..###.##...#..#..########..#.##..#.##....#.##.####..###.###..#......#.....#...##....##.#.....#.#..##..##.###...#.###.#..####.##..#.#.#...#..#.#.#.#..#.#...#.#.###.###.#####..##..##....####.#...##.#.#.#.#.####..###...#.#.#.#.#.#...#.###.########.#..##..##..#.#..#.#.##...##.#.##.#######..#....#.#.#.###.#####..#....#####.#.##..###.####....###.#..###.###..#...#..#..##.####..##.##...#..#####..#######.#.#.#..#.#.##..#.#...##.#.#.####.#.###..#.#....###.....##.....#.######.########..##.##.##.....#.....#.....#...........#..#.###.##.##..#..#..#.#..#..###..#..#.#...#.##.#....#..#...#.#..###....#....#..#..#.#...#..#.##.####..####.#..##.###..#####.###.#...##.##.##....#.....##.#.#.#..#.#..#.#.#....#...##.#####.###....#.#...##..##.....#.##..##.#.#.....#..###.#....#.####...#.##.#..#####.#...###...#.#..#.#.###.#..###.###..####.#####.###.#..###.#...##.##.....#.#..#.##..#.#.#..####....#..#....###...###.##.##.#..#.######..#.#..##...#.##.#..###.##.#......#.#..#...#.#.#######.##.###......#....##..#..#........#...#...##.#..###.#.###..#.#...#.#....###.#####.#....##.#######.#.#........#..###..##.#.##..#.###.##.##.....######.####.###...###...###.###.....#..#...##......###.##..#...###..#....#...#.#..#....#..#....###.##....#.........##..#..#.#.#.#.#.##..#.##..#..#.#...###..#.#.#.###.....#..#.#####.####...#.#.#....####..###...#####....###....##.###..###.##..#..####.#..###..#.#####.##.#...#.###.....##..#...#.##..#..##.#.###.#....##..#.#.#######.....######.###.#.#.#.#.#..##...#.##.....##.#######.#..###.###....#.##.##...#.#....#.....#.#.#..#.###..##.......#.##.#.##.##...########..#.##...#.#....###..##..##.###..........###.####.###..##..###..#..#..####.##.##.##.#...####.#...#.#.####...#.#..#####.#..#.#..#.....###..#####.#..#.##.#.#.#.##..#..#.##.####...#.##..##......#.....##.######....#..#..######.....####...#...#...#..#...#...#.##..#####.
#.####..#.#...#...#..#.....###...#..#.#.###.######....##.....###.#...#........###..#..#####.##...####...#.###....#..##.......#.....#.##..###.####.##......##.#....#.##...###.#.#.##...##..####..###...#.###..###.##.#..#.#...##.....#.##..#..##......#.....#.##.##...#.####..#.##.##...##.#####...##.##....#...####...#.##...#.##..#...##..#..#.##......####......#..####.#.##.#.#.#...###..#.#..#######.#..##..###..#####..#.##..#.###..#.#..##..####...#####..###.......#..###.#.#.#...##..#.#######....#.#..#.###.#..#####..#.##.###...#.#.#.#.###.##..########.##.###.#..#..##...#.####.##.#...###..##.....#...#....#.#...#.#####.#..##...#.##.#....#.#..#########...###.##.......#..#.#..####.#..###.###.##...#...#.##.#.##...#.##......#.##.##.#.##..##...##.#...###.##.#.#..#.#..######.#..######...##..#...##.#.###.##..##.....#.##.#.###...#.....##.###..####...#.#..##.###.#.##.##...#####..#####.###.......#.#.#....##.##.#.#..#.##.#..###.##.#.#..#...#..#..#..#...##.##..#.#..##..##.#..#.#..#......#.####..#.##.###..##.##.##.#.#######.##.#..#..#.###..#..###.##...#..##...####..###.##.......###.#####.#.#######..##.##.#..###.....#.####.#......#.##.#.#..#...#..#####.#..##..#.....#.#.#...###..#...#.#.##.#..###.#..##.#...#.##.#.######..#.##..###.###...##.#...#.##.#..#.#.#.#..####.#...###.#..#.##.#.#...#...#..#..####.#.####.#########.####....##.#.#####...##..#.#.##.#.#.#..#...##.##..##.....#.....###..##....###.##....###..#....#####..#..#.###.###.###.#.#..#...##..###..#.#..##..##..#.###...###..##.####.##.##.#######..#....#.##..#.##.#####..##..#..##..#.##....####.##...#...####.#.##.#.####.##.###.#...####....#.##..#.....##..###....##..#....#.#....##...##...#..####.##.#.....##...#...##.#.#...#....######.#####..##.#.##..#.#.#...###..######.##.#####...###...#.#.#....##..#.##.##.#.###.#####.##.#..####.#...##.#.#.##.#.#.###...#...####.##..##.#....####..##.####.#....#.#.##...###.#.#...#.#.###.#.######..##..#....####.##....##.#.#...##.#.#...###..###.##......#..#...##..##..#.#.#..##....#...#...####.##..#######.#..##....
.#.#.##.#.#..##..##......###.#.###.###.##.......#.#.....##..#...##...#....#....#...#..###.#..#.##.#.#.#.#####..#...#.###.#.###......##.###.#..###.#.#.##.####.##...#.#.###.#####..####.#.#..##..##..#..#..###..#.#..#...#....#.....###..##.#..#.#...#.##.#######.##....##..##.#.......##...##.#.####.###.#.##..#####...###.##.#..#..##..##..##.##.......#...#.#...###.##.#..#.##.#..#..#......##..###..#.#...#######..#.####..######..#.#.....##.#.##..##.##.##..##...##.#.#.##.###.#.#.##..#...#..#..####..#...#.#######....##.####..##...#.......###...##.#.#....#.#....#..##......#..#.##.#..########.##.##.#..#####.#...#####....##...##...#...#..#.##.##.#..#..#..###.#.##....##.#....#...#..##...###.#...##.####.#.#..##.#...#.###......###.#...#####.....#..##..#...##..##.#.#....#.##.#.#.####....#....#...###..#.#...#....#.....#.#.##..##..####..#.##..###..#...#....##.##..####.##.###..######.######.#....##..#..###...##.#.#####.###.#.###..#..####..#.#.#.#.#.###...##..#..#.######.#.#.#.#####..#....####.#...#.#.####...#.##..###.##....#.#.##.#..##.#....#########..###..#.....####.#####..#...##..##.#..##..#..#..#.#.#.#.###.###.##.##...#..###.....#.....##.#..#####..#.###..#...####.#####..#.#....#####.#.###.##.#.#.##..#..#.####...####.###.#.####.#...###.#.###.##..###....##.###..##......##.....#...#...#....#.##.##.......#.#.#..#..#.#..###...#.###.##...#.#.#.....######........##.#...#.#.#.#..###..#.......##.##.#...#######..#..#......#.#.#...#..##.###.#.#..####.##.#.###...#####.#....#.#.....###.###..#....######.#.....#..#.####.#.#..##.##..#.##..#.....#...#...####...#####....##...#..#.#.##..#..####..#.###.#...#.....###..#..#...###.##..#...##.###.#..#.#######.###....##.#.#...#...#..##...###.##..###...#.#.##.#.....#.......####.....#..###...###.###..####..####..#.##.....#..##.##.####.###.....##.#.#.##....#..#....#...#.##.##....#..#.##.#......#.#..###..#.####..#..##.#...#.##.########....##.###.###..#.##..##...#.##..#.#.##.......###...#.#.#.#..##..#..#.#.###........#..#######.##.#.##..#.##.####.#####..#.#...#.#.#
...#.#.##...##.#.###...#####.#.#..#.###...#..#..###....##.#......##.#..#.###.###.##..##.#.#.#.......#########.#.####...##.....###....#....#.#.##.#....##..####..###......#.#.###..#####..##.###...#.###..#.###.....##.##.##.#.##.######....#.##.###.#..###....####.#..##..####.#.#....###...#..#.####.####...#####.#..#.##.#...#.##......##..##..####.#.#..###..#.#.#..###..##...#.##..#.#..####.#.####..####..#...####.......##...#####.#.##..#..#..##.#.#.##..#.#.##.#...##.##.##...#..######...###.#.#.#.#...##.#.#..##.#...#...##.#.##..#####.#.#..##.....##...###....#..##....###.#.#####.#.........##..##.#.#..#.####.#...##.#.##.#.##.#.##.##.##....#.#.#.##.#...#.##.##.#..#...####...#.##.#.##...##.##..###.##...#.#..#.#########..#.####.##..#.......###.##.#..#..#.#..##..#####..#####.....#.#..#..#.##.#.....###.########..#..#.###......#.###..........##..###..#..#...#..#..#.#..#..#..##.####..#..##.##.###..##.#.#..#...........###.####.##.....#..#.##..##.#..#....###.##......#.####..####...##..#.##......####.#..#...#.#.#.......##..##.#.#....######.#...##..#.##....#.#..###..##....#...#...##.#..#..##.#..###....#..###.......##..##....#..#.....####....#..#...#.#.#.##..##.#.#.##.#....#.#.##..##.#..###..#..#.####.#..#####.##.###.#..###.####.#.....#.#.##..##..##.#..#.#####..#.#...#.#...##.#.......###.###.####.###...#.#....####..#.##....#...####..##...#.##.##.#...#..#...###.#..#####...##.#.#..#.####.......#.######.#.##..###.###.#..#.#.##......#...#.####..#.#.#.#.###.##.#..#.##....#.#..#..#..#......#####..#.#...###...##.##..####.##...##.#.#.##..#....##..#.##.#..#...##...#####..#.#.######.##.#.##.####.#....#..#.#..#..#.######.##..####.####.##....###.##.#.##.#..##.#.#.##...######..###.#...###..#.##..######..#..##.#####.#...#.#.#..#.##......#.##.#.#..#..#####.###..###.#.##.#.###..###..#..####......#####...###.####.#####...#..........###.###.#.#.#.###...###.#.##...#...#..##.####..###.#######...##..#.#####.#.#....####...###...##.######.##.#.#.##.......##.#.##.#.###...##..#####.##.#.####.#..#.#.##..#...#..####
..#.#.##.##.##.######.##..#.#..#...#.##.#..##...#...#....##.##.##.#......###..####.....##......##..#...#...###..##..####..#....##.####.#.#...#.##.....##..#####.#..###.#..##....###.#...#.##......####....#.##...#...#####.##.##.#.##.....#.##.#.#....#..###.##..###..#..#..#.##...##.#.#.#..#.###.##..######.#...###.#######......#..##..##.......###.....#..#....###..#.#...#..##..#.#.#...#.......#.#....###....###....##.#.#....#....#....##...###....####..####.###.#...###.#...#...#.#.#.##..##.#....##.....#..##.#..#...#.####.#.#.##..##.#...##..##.#..##.###.##..#.##.#..#.#...###...#...#.##.#..##.###...#....#.#.#...##.#.#.##.######..#.#.#.....#.#...#...##...##..#.#....##...#.#....#.##.###..#....#.#....##.#.#.######.##.###..#.#.##.....#.#.#..#.....#..#...####.#.......##...#.####....#.#####.....######..#.#..########.#.###.........####..#.#.#...#..###.#...#.###...#####.#.#.####.##....#....#..#.#...####.#...#.#.#####..####.#.###...###....#.#......#.##.###.....#.###.#.##.#.#..###....#.##..#.##..#...##.#..####.#..#....#.#.###....###.#.##.#..###.#..##.#####.#...#....#.#.#.###..##.....#.##.#.....#..#####..#..........######.......###.#.......##..#.##...#.#..##.##.##.##..##.#.#.##..#.#..#.#.#....###......###.########.##..#.#..##.###....#####..##.#..#.##....##.#.##.##...#..###.#####.#....###.#.#.###..##.######...#..##...##....#####.#...##...##...##.###.###.###..######.#..##.#...#..##.#.##.#..#.###########..###.#.####.#.####....#.#...####....#.#.#..#.##..#..#####.#.#####.#..#####.##...##.##########.#####.#.#.#.#........##....#....#...###....##.........##..##.#.#.#.##.####...##.#.##..#.#.#.#..##.##.##..##.#.#...#.##.##.#.....#.#..###.##...##.#####.##.##.#....##....#.##..##.###...#.#.#..#..##.##..##..###.#..##..###...##.#..#.#..#.#...........#..#...##.#.####..#..#######.####..###.#...###..####..#.#..#..#..#.##.#.###..###..#..#.#####...###.#####.##.#..########..#.####...###.##...#..#.....#.#.#.....##.##.#..#........##.#.........###.#.####.##.....#...#.#...#.#.#...#..##..#####.########.##..#.#..#
.#.#.....#..##...####.##.....##.####..#...##...#.#..#..#####.#..#..#.##########...#...###..#.#.##.###...##...##.###..#.#..#.#.#.##...#.##.#...####..###.#.#...#..#.#.###..#......##.#.##..#..#...##.##....##..##..#...#...##....####.##..#..#.#.#.####....#....#.#..##....#.####.......##.....###...##..##.####.#.#.##.##....##.###...#.##.#...###....#.#.##.#..#.#...#...##.#..########......##.##.#.#.###.#.#.#..######..#.#.#.#..#.#....#.#.#.....#..##.##.##.##...#..#.##.##...#.#....#...#..#####....##..###...##.##.#..##.######...##...#.#........##.##..#..#.###.#####.#.....#.....#..#.#..###.#....##...####.##..#.#.##..#.#..###..#..##.######.##.##...##...#.#..####.#.#.#..#.##...#.##.#..####.#####.##....#...##.##.#####.......#..#.#.#.##.#..#...##.......##..#.#.#.#.###.#..#.#.#..#....###...##.#.#.###.######....#...##.##..##.###..##..#.##..#.#.##.#####.....#.#...#..#...##..##....##.#..###.####...#######....##.#...###.##...##.###..##.##.......#..####...##...#.###..#..#####.....#..#....#...#.###.#..##.#####...##.#######..#.#######.##..#.##.###..#######.#.#.###...##.#.##.#...#..##.###.###.#....######.###...##.#......#..##.##....#...#..#..##..##.#.....#.......#####.#..#.#..##........#.#....####.####..###...#..#.##..#####...#.#....#...#.#....#.#...##......#...#..#.###.....#..#.#.##..#..####.##.##.#....####.#.#.###....#.##..##...###.#.###.###.######.####..##...##.#...##.###..###...##.#..##..#..#....#....#......#..##....#.#..####.#..##.##.######.##.#####.####.#..###.###.....#..#..##.##.###....##....##..#.....#.#...#...########.#..#...##....##.#.####.###.#...##.#.#.#.#...##.#.#....##....##...#.###...#..####..###.#..#.####..##....#...#####.###.#..#######..#.###..##.......##..####...#......#.####..#.#..#..#.##.##...#..##.#.#.####.#.##.###.#..###.#..####..##.####.#..##.##..####...####.....###.#..#.#.....##...##..###..#............##.......####.#....##...##.#...##..##.###...#.##...##.##....#..#..#.#.#.##.#.####.###.#.#.####.#.#..##........####.....##.#..#..###.#..##.##.##...#...#.#..#..###..#.#.##
#....##.#.#....##.###..######.#.#..#....#..#.###.###..#..#.##.........##.####.##.#..#.##.#..#..######.###.#.....##.##...#..#.###..#.#.#.##..#....##.##..###..####.##.....#.#.#..#.#.#...#..#.#..###....#...#.#.###.##....##......###.#..#....#.#....#.#..##.#..#####.#..#....##...#..#...#.####....##....##...#...###..#.#..#..###.#.##.#.###.##..######.#..#...#...##.#..#.##..#.###.#.#####.##.#####..###.....#.#..##.#.##...###.###..#####.##.....#..#.#.#.###.........#............###.##..####.#.#..#..####..#.#.....#..#####.######..#..#..#..#.#...#.....#.##.#....####...#....#..#..#....#.##.....#.####..##...####....#....##.##..###....#######..#.#.#....###..#...##.#.#......##.#..#.#...#.#.##..#...#.#..#.#.#.#.##..###..#.#..#...##.#.#......#.#..#.#..#.........####.#.####.#......###.##..#.#.###.#.#.####..##.##.#####.##.##.###.#.###.#.###..###...#####..##.#########........#..#.......#.....##..####.##.###...###......##.#####.#..##.###....#..#.#..##.##.#...##.####...###..#.#...#.#####.#..####..##....##...######...##....#..##.###....#....#...#.#...........##.#.####..#.#.#.##....#..#.#......#.#...#.##.#......###...###.####..####...#.##.....####...##.###.#..#######.##...###...#.###.#...##.##.##...#.#.....##..#.#..#....#..###......######.#.####.##..#..#####.#...#..##...##..###..#......###...#.#.##..##..#...##....#.#....##..#..#.##.#.#####.#######.##..#....##.#.##....#.##.#.#..#...##.#.##.##...####.#.#####..###.#.####..##...#.##.##.#.##....#####..##.#.....##.#...####.#...#..##.#.#.####.#####...#.....##.###..#..#...#.####....#...#..#.###..####.##.##..#.##.#.###.#.#.#..#...#...#.##.#..#####..#.#...#..####....###.#####..#..####..##...#.#.##.#..#.##.##.####.##.....##.....###.#####..###..###.##.###...###.##.####...#...#.##.#.....#..#.###...##.#.....####..##..#.#.###.###.#.#...#.#...#....#..##.#.#.#.##.##..#...#..##.##..#..##.#.##...#..####.#.###.#####..#..###...#.#...#....###...#.###.####...####.####.#...##......#.##..#....####........#..#..###.####....#...#.#.####.###.########.#.####.#.#..##.#...
#.##..#..#..##....#....#.##.#...##.##.#.#.#.....##.#..##.##.#.##...#.##..##.....###.#..##.#.##.#.#.###.#....#.###..###..##...###.###.##.#.#.#....##.##.#.##.#####..#....#.####....#..#..##.#........######..##.###.###.#.#.....####.#.##.#######..#..##..##...#..##...#.#.#..#.##..##.#..#..##..#.###..#...###..#...###.####.##.##.....#..#####..#..##.##.#.#.#.###...#.##..##.#...####.#.#..###..##.#.#.###..##..#..#..####...#.##.#..##.###.#.#.#..###.###..#..##..#..##.#.#.####.##.#.##.#.#.##...#.#..#.#....##...##########.....####.#....#.###...###..###..##.#....#....#..#.#..#.#.##.#..##...#.###.###.###...##.....#.###.####....#...#....#..##.#..#..#...#.#....##......##.....#.##.###....#..##.#.##......##..#.#.....#.###.##.....#.#.#.#..#.##...###....#.##..#.####.#.#....##.#..#..##.#..##.##...#...##..#...#..##.#.####.##....##.#.###.###...#.#..####...##.#..###..#...####.#....##...##.###.#...#..###...#.##.##.....##....###.#....####..##...##.#.#...#...#.##..###...#.#..#.#.#........####.###.#.#....##..##.###.###..#.#......#......###..####.#..##..#.#..##..##.#..###.#..###.#...###.##.#.#...##.....##.....#.#####.#....####.###..#..#..#.###...##..##..#..#...###..###..#.##.###.....####..##.#.......#.....##..#.#.#...#.###...#.###....####.####..##.......###.#..#.#....#..#.#..######....#.#.#...###.##...#...#.#...##.##.##.#....#.#######..##.##.#####.#.#.#.#.##..##..#######...##.##.#...###..#..#.##.##.#...#.#..##.#...##.######..###...##.##..#.#.#..##.#.##.....##..#.#####..#.###..#..#....##.#.#.....#.....#####.......#.#...#.#.#.#.###..####..###.###.#####.#....####.##..#..##...#####.##...##.##......#...#.##..##...##.#..#...#####..##....#...#.......#.##.#..##.##.....#..#...##....##.####....#.###..##..#.#.#.####.##.####.##.##...#.###.##......#####.####.#...####...##.#.#..##.#.....#........#...##.#.#.###..#.#.##..###......##.#.#.#..##.##.......##..#.#..#.....#.##.#..#######..##.#.###.......#..###...#......##...##....#.#.##..####.#..#..###..##..#.#....#.##.##...#..#.#...#.###.#.#.###.##..##.#...#..#..#...#
......#..#.##.#..###.....#.#..###.##..######.##.###...#.####..##.#..##.#.......##.###.###..#.#.##.#..#.##.##.......#.#.#.#.#..#.#.#.#.###.#.##.###...##..#..###..###.###..########.#.#..#.#.#......##...#..##.#..#..#.#..##.###.##.#..###.....#..##..#...#.#...#...##.###.#.#.#....#.##.##.#.##.#.##.....##..###..#...##..##.#######..###.#..#..#..##..#####......##...##.##.###.#.#.#..###.##.#####...#.#.###..####.##.#########.#...##########.#..###.#.#####..##..#.#.##...##.###.#..#..#....####.##.#.#####.#..##..#..#.##.####..####..#.###..##..#.#.###...##...##.#..#...###.#....#..##.##.#.#.##.#..#..##.#...#.....###.......#..####.####..###.##.#.#..#..#...#..##..###....#.#...###..##..##..######.####.#..#.#....#...#...##........#.####...###..###.###..#...#.....##.#...#.#####.##...#.#.##.##.......#.....##.#.....##....#....#.#..##.#..#.#..#####.....#..#..####..##.......###....##.#.##.#.........#.####...#.#..#.#.##.#....#.#.######..##..#..###......#.#.##.##..#.###....#.#.##..#.##...##.##...###.######.#.#.....###.##.##.###.##.#..#..##....#.....###.##....####...#####...#..##....##.#.#.##..##..#..##.##....#..#.#.#.####.#.#.##.#####.##.#.##.....##..#.###.####..#.#.##.#.#..##.#.###.#.#####......#.#.#.#.#####.#...#.##########.#.#...#..####..#..#.##..###...#.#.#..#....##.##..#.##.#..#.#.....#....##.###..##...#...#######..#.#.#....#.########.#...#####...##..##..####.######.....#.#.#.####..###..#.###.####....#..####..###.#..#...#...#.....#.#.#..#.##..##.##.##.##...#..##...##.....###.#.##.#.#.###.#.#.#..#.###..#.........#..###....##.#.#####.###...#...##...#.#..###....##.#.##.######.##..###...#......#..##..#...####..#..#.##.#.#..###.####..##..##.##.#....####..#.##.#.###.##.#.....#.#.#.##.###.####..###..###..#.#..#...##.#.#.##..#.###.####....##.#..........###...###.##.....#.###..####.##.#..##.##.##.#####.#..#..###.#.####..##..#.###..###.#.##.....#.##..##.###...######.#.##.##..#.....###...#.#......#.#......#.......##....#.#..##.####..#....#..#.#..#...##..#..##..###.#.#.#.#..#.#.#.#.#.######..#.###.#.
####.##...###.......#.#...##.##.####.....##.##..#.##.######.#....##..##....##.#.##.#####.######.##..#...#...#.#....#.##.#.##..##.#.#.###..######..###.###......#.##.##.....#.#.####..#.#.#.#.#...#.##.##.###...####..#.#.####.#.#.#.######.#..#....##.#.#..##.###.#.#.##..##...##...#..#..#.#.#..#...#.#..##...#..#..#...##.###...#.###......#..#.#..#..#.........####...#..#.....#.###.#.##.........#..#.#..##.###..###....#.#...####.####...###.#.##.###..#.##.###.####.####.#..#..#..####...#.#####..#####..#..#...#...###.####....#...#.#...##...#...#..#.##...#...#..#.##.##.####....##...#..###.###..##.###...##.##....##.##.###.##.....###.#.#.#......##.#.#.#.#.##..#.#.#...#####...###.##...######...##.##.##..#...#..#.#.#..#....#.#..#.#####.#..#.###...#....##.#.##.##.#.#####.#..##.#.#....#...#.....##..#.#.#..##.#....#.###.#..#.#######.###..#.###.#...#..#.#..#.#...#..#.#.#..###.....###....#.....##.#.#........#.##.#.##.#####..#.#..###..##.###.#...###....#....##....#####.##.#.####.#######..##..##.##.####.##.#.#....##.##...###...###.##.###..##......#....###.##.###..########.#.####.#.##...##.#.#...#...#.#..#.##.#.#.#.#...##.#........#.##.#.##.###.####.#.#..#.#.#..###.#.#.........#########..#....##..###.....#.####....#.##..###..#...##.#..##..#....####..#.##....#.##.#.#.#...#.#.#.##..#######.#.#.#####..###...##.#.###..#####.#.#....#.....####.####.#.##..#...##.#...##.####.....#.###.###...#..#.###.#..##.#.#.#..##.#..#....##..##..#####...#.####.#.#.#.........##...##.#..#.#..#.#.#..#.##...#.##.#..###.#.#######.#.##....##....###.#.#.####...####..#..#.#.###...#...##.#..##.#.#####...#.###...#.#.##.#.#.....#########.#.##..####...#.#.#...#.#...#.#.....###.###.####...###..#..#..#########..#.####.###..###.##.##...####.........#####.#.#####.##.#.....##.#....##.#....##...#.#..##.###..###.#..#.#..##.#.#.......##..#.##..####..##..#...##.#.....#.#...###.#####...#.#..#.##...#.#...###.#.##...#...#....#.#.....#..###.##.##.##..#.###.#.#.#####..##.##..#..#.####...#..##.#.#.#..#.#.#.##..###.#...#..##..#######.#..###.
####....###.##.####..##..##....#...##.#.##...#..##.##...#.#.######.#.####..#..##..##.#####.#.##.####...#.##.#.#.#####.#.##.#.#.#..###...#.##..#..#####...###.#.##..#.#.....###.#.#...##.####.#####...######.##.#.#.###.#.##.##..#.###...#.#.#........##....#.#.#...#..##.#####..#..##....#..#...##......##.#.#.#...##.##.#..####..#.#....#.....##...#####..#.....###.###...#.#.##.#..#.#.####..#..###.##.#.#.......#.###.###.###...#..#####.#.####.###.#.#.##.#.#...#....#.#.##.###.#.#.#...######....###.#.#.#.##.##.....##.#..#####....#...#..#.##......#.##...#.#.#######...####..##..##.##..###.#..##.#..##.#....##...#..#.#.....##.##....#..##..#..##..#..#..#.##...#.#.#..###...######....#.###..######.##.##...#..#.####.##.##...###.#.#.###..#...#.##.#.##....###.#...##....#.......###.##...##.###.##.#.#.....##.#..#..###..####.#.##.##...####...###.#######.#.####.#.####...###.#.##.#..###.##..#....#.##.#...#####.###.####..###.....#.##.######.#...##.###.####.####.####..#..##.######...#...#.#####.#..##.###...###....#......###.#..#.#.###.####...####.##.#.##.#...#...........#.#..##.....###.###....##.#..##.##.#..#.#...#.#.##.#..###...#..#...#.#...####.##...##.##..#.####....##..#..#..##..#..##.#..##...##.#....###...#.#...#...#..#..###.#....#...####..#.#.#.##...##.#...###.....#.#..##.#.###..#.#...##.#####..####...#..##..##...##...#.......#...##...#####.#..###.##......##...#.#.#####.##..##.##..#...#..#.##..#..#..##....##..#####..#.#....#.##....#..#####..##.###.##.###...###.###...#..###....#.##.####.....#.###.##..#.#.#.####.##...#..##...#.###.##..#....##....#.#.....#....#....#........####..#.#.#####....#####.#..##.##.#..#.##...###.#.#..#...#.##..##..#.....#...###.##.#...##..#..###...#.....###...#.#.#...#.#...#.##.####....#.#.##.#####..##..##....#..####.###..##.######..#####.##.###.####.#.###.#...##..#..#.##.#.####.#.#####......##..#.#.####...###...#..###.######...##.##..##..#..###.#....#.#.####.##.#####...#...##.....#.##.#..#.##.####.#.###.#.......##.#....##..##.#..#.#.#.#...##.#....#.#####.#...#######.#.
..####.#.###....#......####...##....##.##.#.....#####.#.....#....##.##.######....#.#..###....#.####...#......###..#.##.####.######.#.##..#..#...##...#.##.#.....#.###############...#...#.##..##.#.#....##..####.####...#.#.#####...#.#.##.#.#..##...##.#...#.####...#.#.....#....######......###..#.###.##.##..##........#..#.###.#.#.##..#.##..###.##.#.###.##.######..##..#..##.#.##......####..#.....#...#.#######.#############.###..##.#.#..##...###..##########.#..#.##..#.#..####.###...#######.#.###.#..###.#..#.##...####...#..####.##.####.###.##..##.#.#...#######.###.#.###.####.###.####.#..##.#.##.#.#...###.#..##..#.##.#.#...####.###.##..####.#.#.....#...#..#....#..#..#.#.#####..#....#.####.##.##..#####...#......##.....#.#.####.##...#.#.###..#..#...##..##...#....###..##...##...#.....###....#.##....#.##...#.#..###..##...#####.....##.#...#.#..#.##.######..#.########..##..#.##.........#..##.##.###...####.#.....####.########.#.#..##.#.######..#.##.#..##..####..###.#######.#..##........#.#..#.#.###.##.#...#.##..#.#.#.#.######.#.#...##..##..###..##..####.####.....##.#...#.#.##..#.##..##......#.###.###..###.##.#.##..#...#.##.#....####....##..#..#.#.#.###.###.##....####.#.#.####.##.####....#.#.###.##.####..####..##.##.#.##..#..#.#.....###.##.#...#.#.#.#.###.#.#...#####.#.##..#...###.......##.#.#.#.#.#.#...#.####..#.####..###.#..#.#..#....#.###.#..#..##..#.#..#........##.#...#..#.......###.#.#.##.#....#.#####..#..####.###.#####.##.#.#####.#..###.####....#...#..##..#....#..#.##..###...###..#.#..####..######.####..#.#.##...##.###.##...#.#...##.#....#...###....#..##.##..#..######...#.##.##.##...##.....##...##...######..##.#########.#..##.##...####.....##.#.#....#..##...#..####.#.##.##.#..####..##...#..#######.....#.#....####.....#.##.###.#####.###.##..#...#.##..###.#...####.####.#.###..#..#.##...##.##..#....#...####.##......#...##.###.#..######.#####.###....##...#.....#.#######.####...#...##.###.#..###.####..##....#.....#..###.##..####...####.#..#...#.##..##.#.#.###.#.#...##.....###......
.#..###.##.....####....####.####.######......#.....####..#.......##.##.###..#.##.#####..##..##.....###.#.####.###.#.#....##.....#......#.#.#...#..###..##...##......#.#.###.####...###.##.##.#....####..#.########.##.#.##.##.##.#.#........#...##.#.#.#.#...#.#.#.#.##.......#.##.###.###.#####.###.##....#...##.###....####..#.###.#####.#.#.###.#...##.#..##.#....####...#..#...#.#.#...####.##.###..##...#...#.....######.#..#.#.##.#...##.#####..#.###.#.##.##....#..#.#..##.###.##.#.#.###....###.##...#..#........##.#.##...##...####.##..#.#...#.#..##.#..##...#....###....######.#.##...##..#..#.##..##.#.#....#....###.#.#.##.#.####.#.##.#.#..#.#..#.#.#...#..######..#.##.#.#....#####..#.#.##..#.#.#..#......#.#.#.##.#.###..##.####..#.####.#.###.....#....#..#.###..#####....#.###.##.#.##....#..#..###....##.#.##.#.##.#.#..######.......##.....#.......##..##.#.#..##..#....##.##....#.##.#.#.#....#...#.....##.#..##....#..#.#..##..##.##.####..#....#.##..#..#.##.###..##.#.#.#..##.#.###..##..#.##.######..#.##...#..#....##....#.#.##.###.##...###..###.##.#..####.##..#.#....#.....#.#.#####..#...###...#.#...#####..#.#.#.####.###...#.#.....#..#...##.#...#.###.##.#..##..#.#..#....#.###.###.###.#.###.##...#.#.#####......#.########..#..###.#..##..##.###.##.#.#.##.###.#.#..#..#....#.####.####.###.#.#.##.#.#.##.##..#.##.#.#...#######.....#.##..#.####.....###..##..#.#####...#.........#..##.#.##......#.####..#.##...##...#.#.....####..#####.#.#..###.#.#..#..#.#.#....#.##..###.##......##.......##########.#####....##...####..#.#.#...#.###....##.###..#.##.#.#..#..#######.##.#..#..###.##..#..#...####.#.#..#.#...#.##.#.##..###.####..#...#.###.#.#..#....####.##.###...#.#.....#.######.....#.##...##..#..########.###.#..###.....#..##.##.#...##..##....#.####...#######..#.##############.####.#.#..###...###.###.#.#..#...#####..#.####..##...##.#...#...#.#.#......##.##..#..##.##.#.##...###.#.###.##.#.###...##.#.#######.###.####.....##...#.##..##.###.###.#....#.#...##.####.#.#..###..#..#.#....#..###...#.###..###..#...#.##
..#...#.#####..#.##.#####.#.##.#..#.#.#........#..#####..##########.######.#.#..#.#..#####..#.#.#.....#.##.###.####..#.##..###...#.#.#......#.##..##..###..####..##....##.#####..##.#.#.#.#.##..######.##.#.#######..#####..###.#.....###.##.#.###...###...#.#...###.#.#####...###..#....##...#..#.#.###.....#...#.##....##..#####.##.#..#.#..######...#...####..#...###..#######.####........##...#.##...#.#.#######.....#..##.###..#.#.###.#.#...###..##....#.##.#.#...##.....##...##....#.#..#.###.#...###....###....#....##..#..####.#.....#####........###.....#..#..#.###.###.#.....#.....##.##.#.#.#.....##.####..###.###....##...#..#..#...###.#...#..#....#.....##.###....####...###..#...#.#.##..#...#.##.#..##.#.......##....###..##.##.##.####.##.###...#.##.....#....#...#..##...#..#.#.#..##.#.##.##..##.###.....###.##..###..######.#..#..#....####...#...###..#.#.#.#..#.#...#.#.#..##.##.#.#..#..##.....####.##..#..#..###...###...#..##.#.##....##.#.#..#.###.#.#.....##.#...#.#....###...###...##.##..#.##..#...#.###..##.##.#.##...###.###..#......##.#...#####..#....##.........#..#.#....#......##.##.######...###.#......##....#.....#..#.###.....#..##..##.####.##.##.....#..#..##.##.##..#.....##.######...#...##.#....####.#.###.#.########....#..##.....#.#...#....##..#....#.#..#..#.#.#..####.###.##.#.##..###.#....###..#.####.##..#.###.....####.#..#..#..##..###.##...##.####...##....##.###..###.#.#.#...########.....###.##.#.#..#..#..##..##.##..###.#####....###.#.#.#.#...##.##.##..#..#...####..##.#..##..##.#....##...#######.##.##...#.#.#..#.##...##.###..##.####.#....###..##.#..##.#.#.#...#..#....#.##.##.#########......#.....#..##..##..####.####.#.##..#...##.##.###.#.#..###.####.#.#.###.##..#.#.#..###.######..#.......#..##.#..#.##..#.#.##.#.##..####.###.#.....######...#.##.###.#.#..###.#.#.##...##..#......##.....#.....##.#.####..##.###.#...##.....##.##..#.######...#####.#....##..#..####.#..######.##..###...#.......###.#.#..#......##.#....##.#.....#....##.##.....#...#.#...#....##..#...#....#..#...#.##....#..
...#..#.#..#..##.#...#.#......#.#......#..###.#.#.###.#......##.....###.#.##..#....#..#####..####.#.##.#..###.#....##..#...##.#.#.##..###...###..##...#.#...#.#.#.#.#...#.##.#.#....##..#.#..#####.#..###.##.##.#..#.##.#....#.........##.#.###.#.#.#.##.#..###.#..#..###.####....####.###.#.#..####..##....##.#####...#....#.#.#.##..#..##..##.....##...####..##......##.#..##..#..#..######....####.#..#...#.....#.##.#..#####.#.#.##..###.##.#....##..#.#.#.###.##...#.....#.......####.#....#.##.##..#..#.###....#.#####.###.##..#..#..#.##...#.##.##..##...#..##.##.###.###.##.###.####.###.#.###.#.#..#.#.#.#....###.######..##...#..#.####..#..#.####.##.#....#..#.#.###.....##...#..#.#.##.#..###.###..#####...##.#.###..##...####.##..#....####..##.#..####.........#.##.....##.#.....#.##...#.....#.####.###..##.#...##..#..######...###..##.###......#.####.###.##.####.####.####...#.......#.#.#####.######.##.###.#..#..#....#.##.#..##....##.###...#.###.#...###.######..#.#..#.#..#.#.....##..##.###...#....#..#.#######..#.#####......#...#..####.#.###.#######.##.###.#...#....#..####.#.##..#.#...##.###.#..#.#.#..##.##.##..######..#....#.##...###.#...###..##.####.###..###..########.#.##.####..#.##.####..#......#..#.#.#.........#.##...#.....#.##..#####..#..##..###.#.##.##.###.##..########...##..##.###.##.##..#......###.#.#..#.##..#...###...#.#..#.##.#....##.#..###..#..###.#.#....##.....###.#...#..#####.#.###........##.######.##.#...##.#.#.#..#.#######.#.#######.##..#.###.#.###.#.##...##.#.#..#.###.#..#.##.##..##..#.#.#.#..........##.#..#..#...####...##...#.####..##.#..##..#######.###.##.#####..#.###...##.####.#.#.#.##.##..##.#..##.##..#..##...#..#.##.#.#.....###......#..##.....#..##...##.##.##.#.##..##..#.#..#...#.#.#.#..#.#..###...#.##.##.#....##.#####..#..###.#####.#.#.#...###..###.###...#..#..###.###..#..#...#.#..#..#.##.#.#..###..#..#####.##..#####...#.#.##.###......###.#.#.#.##.#.######.#..#.#..##.#.#...###.#..#.....#.#.....#.####...###..#..#.###....####....#.#######..#....#..####.###.#.#.#...#####.
....####.#.##...#..#...#..#.#.##.#.........######.##.##.#.#.#....##.####.##..####....#.####...#####...#..#.#..##..###...#.#...##.#.....###.###.#.##....#...##.#..#.#..######...###..#.#.#.##..##...###..#..#.#.###..#.######..####.....#####.##.#..#.##.#......#.....#....###.##.#..#....#######.##.##.#.##...#.#.......##.......#..#.#.##.#.#.###.#..#..###..#..###########.##..#..#.#.###.#####..#...##..##.##.#.##.##.#....#.##...##........#.##.#.....#..#...##.#.#.#....#..#...##.##.##.#.##..#.#.#####...#...#.......##..##.####....#.###..#....#.#.##..#...#.##.#..###......#.##..##......#.#.###....##.##.#....###.#.#.#.#.#..###.#...#.....##...#.#..#.##.#.#.##...#....#.######.#######.#.....#######...##.##...###..#.#..#..#..#.##...##.##..######.##.#..###.#....###.#.#.#..#......#.##......#.#..#..#.##...#......###...##...#.##...#..########....####.##.####.#.#...###.###.####.#.#.##..##.###.##.#####..###.#..###..##..##.#...#..####...##.##.##.#.###..###.#.......#.....#####...#...#.##..#.....#...##.##.#.#..#.#..#.#.###.#.#..##.###.###.##..#..#..####.....#.#.#...#...#.####.##.###.#.##....#..#.##..#..##..#.#.######.....#.#..#..##########.#.###.#####..##..#...##..#..##..#....#.....#......##.##......#..##.#..#####.#....###....#..#..#..##...##.....#..#.##.####.######..#..##.#.#...###.#..##..####..####..##.##.##.##.#..#####.##..#.####.#.##..###.#..#..#..##.#.####...##..##.......##..#...#...#.#.#.....#.#..#.##.#..#.###.#..#.##.#.####.##.##..##.#.#.#..##..###.#.####.###..##.#..########...###.###.######..#.####..###....#.....###..####..##..#.#.#####.....##...#.#####..#.##....#.##....##.#.##........####...#.##.#...##.##....##.#...#.##...#######.#.#.#..#.#..#####..##..#..##....#..#...#..#.#.####.#####.##.#...#.#...#.###.##.#.#..#.#.#..###.#.#.#.##.#.##..#....##...##.##.#.#.#.####.#.##...###...######.#.#...##..#....###...#....#.#.#.##.#..#.##.#..####...##....##.###.##..#.###.#.....#####...#.##..#####.##..#.....###...#..###..#.##.#.###..###...#.#..##.####..###.###.##.#.###.#.#.##.#.##...###...#####..#.#.
..##.###.#.##...##.#..###.###.##.#.#.#.#.#.........#..###.#####.#...###.#...#...##.#...##.....##..###.##.##...####.#.##..##....#.###..##..#...##.#.#.##........#........#..#.#..###...###...##......#######.....##.....#.#.#####.....####.##..#########..##.#.#.###.##...#.###.###...##.##...###..##....#....#.#....#.##...#.#..###.###...#..#.....#...##..#...###..###..#.####.####...##.##.#######.#.###..#.##..#....#.#......#....#...##.##..##.#..##.##.......###.#...###....#######.##.#..####..##.##..#.......#.#.#..#.#.####...##.#.####.##.....##.####..######.........#.#..#..#.###.##....#.#...#..#..#..##..#....####.####...##..#.####...#######.##.##.#.##.#.##.#.#.#.#.#..##.#.###.#.#.#.....#..#.##......#.##...#....##.##.#.#.#.#.#....#.##..##..###..##..###..####.#.#.##..#..#...#...####.#.#.##.#......#.#.#.#.##.###.###..##.######.##.###.###.#....###...##..#..#...#...#..#.#.#####.....##.#.#.###...#.###..##.##..##....##...#..##...#.#..####.###..###.#....##.##.##....#..####...##.##.#..####.#..#.##...#..#.#...##..#..#....#..#####.#.#..###..#..##....##.#....#...#####.....#..#..#.##.####.#..#...#..#.###.###..........###.#.....####.#.####.##.#.#.#######..#.#....#..####.###.##..####..####.##...#.#.#..#...#....#.#..#....#.#.#.##..#..####.....####.##...#....#.#...###.#####.#######..######..#.#######.#...#######.##.##..#.###......#..###...####.#.....#..###.##.####.#...#...##.#####..##.###.....##.###.#..#.#####..#..#.#...####..##...#.####.###.#...###..#######....###.##..####.##....##.###.#####.##.#.##.#...##.##..#.###.####.##...#.###.###.##..##..##.#..#..#.####.#####.....###.##...#..#...######.#.#..#####..###.....##...###........#.#.####..#.##.#.##.#.##.##..#...###.#####.....#..#.#...######.#.##.#..#.#.#..#.#...#...#...##...####.....###....##.#....#.##.##.....#..#.#...####.#..#.....#.#...#######..#####....#...#.#....##....#.#...#####.#..#..##.#..#.##.#.##.#.##.#.#....#.#..###.....###.####..#.#.#....##....#####..##....##.####....#.####.###..##..#.#..##..###..###.#..#####.#.#.##...#..#....#.##.....
.##..##..#.##.###......#.......#######.###.#...##...##....#..###..###.##..#.#.#####....#....#.##.##.###...#.#####.#.#.##...#.##.####..###.###.##.##..##..##.#..####....##..####.#.##.##.#...#.###....#.####..#..#..##.#.#.#..#..#.....##.###..#..##...###..##.##.#######..####..#...##.#..##.#.########.###...##.##...#..#.#..###..#...####..#.#..#..#####.##........#......###.##.#.#.#.#.........#...#..######.#....#.#.####....#.#.###...#...#.#.##.#..#..#..#..#....##.##.#.#....#..#.##.......##..#.##.###.##.......#.####..##.....##.##.#.#..##..####.#.#.#.....#.#.##....#.##...###....#####.#.#..#.#####...##.##.#...#..#...####...#.##.#......##...#..####.#...#.##..#.####.##.####.#...#.###..#.#.##...#.##.#..##....#.##..####.#.#############.#..####...#.##.##......#..#..##...#####.########.###..######....#..###.#..###..###...###.#...#....#.###.####.#.###########..#####.....####.#..#...########.#######...###.#...##.#..##.#...####.#.###...##.##.#.#.#..#.#.#..##..#####.#...#...#..#...##.####....#.#...#...###.....##...##..#...#.##.##..#####.##.#..###.....#.#####...##....##...####.######.###########..###..##..#..#..###....##..#.###...#..#####.#.##..#...#.#.####...###.#.#....#######.###...#...#...##.#..###.##.#.#.####.#####.##.#.#.##.#.#...####.....#...##..##.#.#..#######.#.###..###.#.......#####.#..##.#...#.#.#.#.#...#.##...###.##.##...###.##..##.##..##....#.###.###.#.#.#.......##.##..##......#.###.#.#..#####.....##..#..##....#..#.###.#..#.##...##.#.#...##......##..#.#....##...#..##...###...#..#...#.####..#.#.#.#...#.##.##.##.#.##.##...#.####.#..#...#....##..#.#.##.##..#..##.#.#.##.#.#..#.###.##.##.#..####..####..#.#...#####...#.###......#....#.#.##.##..#..#...##.....#.#..#.##.....####.#.#.####...###.##....##...##.#.#.####.#.#...#.#....###.#...#.##.###..#.#.##...####....#....#..####..##..#.#.#.#.....#..#####.#.###.#..#...#..#....##....####.#.#.#.#.####.#..#.#.##.#.#####.##.######.###.#####..#.#...#.###...######..##.####..####.#####.....#........#..##.#.#.##...#.###....####....##..##.#.#..#.#.
#....##.###.###....#.##......#.##.#.###.#...##...#.#..##...#.##..#.#..#.#..#.##.#.###...#.#...###...###.##....##...#####.#....###.##.##..##...#.####..##.....##.....#...##.#...###.##.##...##.####..#.##.....##.###..##.#.##.#.##.###.#......#..#..#.#...#....##..###.#.##..##.###...#.####..#...#.#.###.....#.##.#.##.##..##........#.###..#..#.#.#.#.#..###..##...###.##.#.#...#..##..#..####.#...####.#...##.#..#.....##.#..#..#...#..####.###.###.#..#...#...#...#...#.###.......#.##.#....#.###..###.#..###.#...#####.#..##...####.##.#.##...##.#.##.##....#.#.#....###.##...######.##.#.#......#...#..##...#.###.###.####..##.#..#.#..##...####....###.###..#.....###..#.##.#.#.##.#.#..##.#.##.#####...#.###........#....###.#..#...#.####.#..####...##.###.#..#..##...#..#.#...##.#.#.#.##.#..##...######.....#....###.##.#.#####..#....##.#...#.#.####.#..#.#..#..#######.#.##.#.####.##.##.###...###..###..#.#...#.#.##..#.#.#..######..#.#..#####..#.###.####.######.#.##.#.#...#..#.#.....##.#.#..#.#....#.#....#..#.#..#..##.....#.#..##.##..###.##...#......####.#.#...#...##.#####......#.#.##.#...#..####.######..##.##..#.#.##.##.#.#....#.....#....###..###...#..#.####.###...####.###.#.#.##..#####....##...#.....####.##...####.###..###........##.#....#.##.###..#.##.#..#.#.....##.##.##.#..#..#...#########.#..#.#.#.#..###......####.##..##..#..##...#.########....##.###.....#..##.####.###.#..#..#.....##.#.....#.#....#..#.#.#..#.##.....#..#...#.#..####..#.####.#..#####.#..#.#..##.##.#.##.#......##..#..#.##.#.##.#..#####.#...#.###.#####..#..#.#.##.##.##..#..######.##.###.....##.#..#.########..##...##.####.#..###.#.#.#####.####.##....###.#..#.#....#...#####..##..#...#.#.##.#...#.##...######.#.#.##..###..#.###.#####.##...##..#..#.#..##..#.#.#.#.##....#....#.........#.....#.#......##.####.##..#.#.#####..#..#.#.......#.#.#.#.....#...##.#.##.###..##.###.#.##....#...#.#...###.##..##...##...#.####.#####..##..##.##.....#..####.##.....#.#.###.##.#......##......###.#..#....#.##......##........#..##.##.#..#.###.##.##..#.#.##
.#....#.#..#.#####.#...#..###.#..##.#.####.#..##.####..#.##...##.###.#...###......##.#.##.#..#.......#..##...##..........##.....####.#......#.###...###.####...##..#....###.#....#..#..#..##.#.##..##.......##.###.##.###.##.##.##.##..###....#...#.###.##...#...##.##.#....##.##.#.#..#.#.##.###...#..######..#.#..##...####..#.##..##.#...####.##..#.#..#..#...##.###.#.####.##..#..#####..###...#####.#.#.#.###...#..#..#..###..#...#####..##.##.######.###.##.##.#.....#..#...##.##...##.#....#...#..#....##.##.#####....##.##.####.....##...#..###..###.###.#..##.##.#.###.#.###.##....#..#.#..#...##.###.###.#..##.#.##.##.#.#....###..#.#####..###.####.#####...###.##....#.#...##..#...#...##########.#####..#.##..##.#.####.#..#....#.#...#.#.#......####.###...###.....#.###..#.#.####...#...###..###....#..#......##....####.##..#.#...#...##..####.....##.##..#.#..#..##.#.#.#...#..#..##.###.#..#.#.#..#..#..###...###.###..###....##...#.#..###...#####..###.#..#.##..########.#.##.###..#.###...#....#.#.##.###..#..###.##.....#..#....##.#..#.###.######.##.#..#..####.##.###..##.#..###.##.....#...##.####.#.#.#.#.##...####..#...###...##.####.#.######....###..#.##..#########.####.....#.##.###.#.......#######.##..##.#..########.#.#.#.#...###....#.##.##...####.##.##..#..#.##..#.#...##.###.....##..#.##..####.#.#.#..#..#...##.##.###....#..#....##...#.##.#..###.#..####.#.####....##.#..#.#..#####.###..###.#####.#..#....#.#.##.#....##.##..#...##..#..#..##..#.######..#...###......#..#.##.#.##..#.##....####.##.##...#.####.#.#..###.#.#.####..#...#...##.....##.####.###..##.#.#...#.##...##.###....########..#.#.#.#...#..#.####..#....#.#.#.###....#.#..##.#.#..#####..##.#....#...#.#.##.#..##..#.##.#...#..####.####.#.....####...##.#.###...#.#..#..####.#....#..###.#...#.#.#.####...#..###.....#..#.#.#..#..#.#..#.###.....#..#.#.##..###....#.#..#...###..##.#.####...##.#.##..#.##....#.##..#.####.#..#.##.###.###...###.#..###.###...###.##.###...#####..##.#.#.....###.#.##.##.#.####.......#..#...##.###########.#.#.#...#..#..#...#
.#....#.#...#..#.#.##.###..#..###.###.###..##..#...###.##...##.##.##..#.##.#.##....#...##.#.#...##...#######..#######....###..##...#.###.###.#....###....###.##.#.###....####....#.#..##.#..#.#####...###..##.###...#.####..##...####..#..###.##...##.#.######.##...##...#######.##.######..###..##.##...#....####.###.##....#.#..####.##..##..##.##..#.#########.........##.#.##.###....##.###.##..#.##...#....#.#...##...##.#.#.###.#..#.#.#.####.##..#.###.#.....##....####..##.#..#..##.###...#.##.###.#..#..#.###..###.##..#.###.#.......##..#####.###.#..#.##...#..#..###.#.###...##.#.##...##.###.#.#..#.#.##....###..##...#####....#.#.#..#....###....#.##..#...#....##.##.##.#...#####..####.####.#.#.#.....#.####..#....##.##.#..#...##.#.###.#..#.#####...#...#..#......#.###.#...#.#.##.#.##..#....###.####.......#.##.#.####.##.##.##.##....#.#....#..##.##.###...##.####.#......##.####...######...#..#####.#.####...##.#.#.###.#...#..####..#......####.##.###..###.#....#.##.#.###..##.##.#..#..##..##.####..#....#..##......#######.#......###.#.#.##..#..#...#.###.#.##.##.#.##.#......##..##.#.#.#..##..#..#.###.####....###..######.##..#.#.#.#.#.##..##..######.###.#...##...#####.#....#......##...#.#.#..#..#.#..##.#....#.#.####.##.#.#.#.#.####...#.######.#.##...##..##..#.##..#..#.#####.#..#.#..#.#...#...#.####..##...#.###...#####.##.##...#...#.###....#.#..##.#.#..#...#...#.##...#.###..##.####...#..########....#.#.#....##.#.#.#.#.####..##....#....#.##..##.#.#.....#......##.########..#.##.......#....#...##..#.#.#........#..#..#.#..#...##....##...##....#..##..#.##.#...#...#..##...#.#.#..#####..#.###..##...#.##.##..#.##.##.#...#.#.###.#...##.###..##.##.#.###....##.#.#.#.#.##.#.............####..#.##.##..##..#.....######...###...####.###....#####.#####.####..##...#..##....##.##...#..#..##..##.#..#####..#.#.#.###.#....#...#...####..###..#...##.###.###..#....#.#..#.####.#..#...###..##..#..#.##.#.##..#.#.....#..#.####.#..#.###.#..#.##.##..##..###.##..####.#.##...#..##.#.###.##.##.######..##...###.##....####..##.
#.#......#...#.....#...#.##..##..#...#..#.##..#####.##.##.##.#.#.##..#..#.#.##..##..#....##...##.#.#..##..#####.##.......##.#####.#.........#.#....#.###.##..#.#.##......##...#..#.#.##.#####.###.###.#...#.##.#.#.#.#...##.....#...#.#.#..##...##..##..####.#.#.#.##.##..##.##...##...###....#.#.#.#.#..#....#.#..####.#.#.#...##.###.....#####.#.#..##...#..##.#.#..#..##..##.##.....##..#..###.##....#..######.#..####.#....#........####.#...##..##.###..##..#.##.###.#..#.#...#.###.#####.#..##.##.###.##.#.##..###..#...###.##..#...###......#.#.#.#.#..#...#..#.###.##.....#........#.#.#.#..####...#..####..#....#.#.#.###.##....#.######.#.....###..#.##...##.###..#..#...##......###....#..###.#..#.#.#..###.##...###....##.#..#.##.#..##.#.#.#....#.#....#..#.......#.##...#.#...#.#.#.#.#.#.##.###.#.####.#.##...#......#####...##.###.#.#.##.#.##..#####..#..##..###.###.#....##.#..#.#.#.####.#.#.#...###.#.##...##.#..##...##.#.#..#.#.##.##..#.#..#..##..##.....#.##......##..#.##.#..#..##.##.#.#####..#.##.#.......###.##.##.####.####...#....##.#...##...##.##...#.#...#.##.#...#######.........#####...#....##...#.####...###..#..#.#..##..#####..#....####...#.#..####...####.#.########..#..##.....#..##.#..##..###..#.#.#..#..##.....#....##.#..#....##...##.......##..#..###.######.#.##.####....##.###.......#..##.##.#....#....#######.....#..#####..##....####.#..#.###..#.#.#.....###...##..#.##.#.#.#.##...#......##...#####..#.....#.#.#.###.....##.###..##....##..#.#.#....###..#..###.####.###...#.#...#.#...##.#.....###.##.##.#..#...##..####.##.#.##...#..##.##.#..##.##.####.#.....#.#.##..##.#.##.##..#.##.######.#.##.###.#.##...#.#....####.####..##.#.#..#....##.#.#..##..#..#....#.#.#..###.#...#.#.###...#.#.###..##.#.#....#.#..#.###..####..##.####..###..#..#.#...#..####..#.#.#..####.#..##.......###.###.#.####.##.#####...##.#..#.#..##...####...##..##..#.###...##....##...#.##....##.##.####..#.###.########.#..##..####....###..####.#..#..####..#..###....##.####.#.####........#.....####.##.#.#######.#.#..####.....##.##.
##.....###..####..#.#..#.#....#...#####....##.#.#####..####.#...##..#.##.#######...#.#.##..##..#########..#...##..#...###...#..#.#..#...##.#...##.#..#.....#.#.#.####.#....##.##.....#.#######..#.##..#.....##...######..#...##.##.#.#.#...##.....###..##.#...##..#...######.#.#.##..#...##.#.##..#..##.#..##..###..##.####.....#.#.##.#.##.####.#....##...#.#..#...#.#.#.#...####..##..####..#####.##...#.#..#..#..#.#.#..###...............########.#..##.##.####..#......##.###..#######.........##...#..##.##.##..###.#.#.#.###...#.#.###....#.##.....####.###..#..#......#..#####.....##.##..##.#..####.##.#.#..###..#.#.#.###.#.#####.#.##.#...##.##.###.#######...##########...#.##..#..#........###.###....##.#######....#.#..#.#.#..###..#..####..#....####..###.##.#.##.###.#.....#.#..######.#..#.##...#..#.#...###.###..#......#.#..#..#..#.##....#####.##..##......##....#..#.##.##...#.#....#####...#...##.#..#..###.....###..#.##......#..##..#.##.#.#..#.....#.#.###.#....##.#..##..###.##..##..#....######.##..####...#.#.##.##..##.....#######.###..#.#..##..##........##..####.###.##.....#.......##.#.#....#...#.#....#...#..###.#...#####.##......###.#..#.######..#####.###...####.##.###.#.....##....#####.##..#...##...##.##..###.#..####.........###.###..##.####....##..#.#.#..##..##...#####..#...##......#..#..#..#.#......#.##...#....#.#.....#..##.###.###..#.###...##.....#.#.#.#.#.....##...###.####...####...##..#..##...#..#.#.#.#.##.#.#...#...#..#.#...##...#.#.#.#.###.#.##..###.##.#....###.#.#.##.####.#..####.#..####.....##.##.#..####.#.##...#....#..#.#.##.#..#..#.#..#...###...###.##......###..#.....##..##....##.#.#...######..##.####..##....#.#.#########..#....#.#####...#.#####.....#....###.##...##..#.##...#.##.##.#.....####.#.###...##.#.#.#..#..#.#.#....##..##..##.#..#.#....#####..#..#####.#####......#...#.....#.#..#.#.#.##.##.##.#....#.#.###.##..###.###..##..#..####.#..#.#..###...#.###.###..###..###.#.#.###..#.#.#.##.....##..#.###.######...##.##...##.#.##..##.##..#..###....#.#.###..##.##..#.#..#####.####
###.#.###.##.#.....#.#.....#.#..##.#.###.#...##.#.####..#.#######.#...#..#.#####.#.#.##......#....##...#...#...#..##...#.#.##.##.##..##...#.#..##.######.###.###..###..#...#..#.##..####..##..#.########....#.....##.#.....####.##.#.####..#.##..#.#..#....###..###.##.#.#.#...#.#..#..##.#.#.###.##..###.#.#..#.#####.#.##.##.#...##..#..##.#########..#.#.##.####.#...#.#.###.....#......#.#.#.##.#..##.#######.#.#.#.#.##...###..#..#.####..#.##.#.###...##........##..###......#####..#.#......###..##.##...####...##.#...###.##.##..#.#...#.#..#.#.#.###..##.###.#..##.##.#..###.##..##..###.#.##...##..##..#.#.......#.#....##.####.....####.#.######...##....#..##.######..#....#.##.#.#......#.#.#.###..#.#...##.##.####..##.####...##..#...#..##.#....###....###..#.###...#.#..##.#.####.#..#.###..#.####.#.#####..#...##.#######.##..##.#.##.#####...##.#.#.####..#.##...####......#.#.##.#..#....##.....##.#.##....#..#.#####.###########..###.#.#..#.#.#..##.#####..#.#.#..###.#..#.###.####.##..##.###.#.#.###...#..#.....###.#..#..##..##.####.###....###.######..#.###.##.##.##..##......#.....##..#.#.#############..##..###.....#.###.#.#..#..#.#.#..#....#..#..##...#..#.#......#.#...#....#.##.#....#####...##..###.##.##.##.#..#.##.......#..#.##...###.####.##.#.#####.######..#..#.##.#.#..##.#.#.##.........##..#.#######.#.####.#..#.#...##..#.##.##...##.#.#....#.#.#....###...#.#.#..#..#.###.####.....#.#...#..#..#..#.####.#.#.####....#..#..#.###.....###...####..#..#.###..######...#...#...#..##..#...#......##...#..##.##.#.#####.##.#....###.#.##.####..#.#.###.####..##.#.#....#.##.#..##..#...#.###.####..##.###....##...##..##....####.#.#..#..#..###..###.#.#.#...#.####.####...######..##.###..#...##.######.#....#.#.#####..##.###.####.#.##..##.....###.#..#..###.####.#.###.#.#.#...#....##..###.##.....#..#....#...#.#.###.#.##.###.#.......#...###...#.##..##...##.#..#..#.###.....#.##.#..#..##.#..#.##.##.##.#.##....#..#....#.#.#..##.....#..##.....#.....###.######..#.#..#...#....##########..####.##...#..##..#.#..#...#.###.##
#####..#.######..##...#...#.#.#.##.###.#...######.#..#.#..#######..#.########..####.#..####..#####...#####.##.##..#...##...#.....##.##.#.##.#...##.#.##..#.#.#.#....#..###.#..#..#####.#######..#.####.###.#....##.#.##...##.###...##....#.#...##.#.####..##...####..#....#.##.####....####....#####.......#.####.####.#.##.###.#####..###.##.......##.###.....#...##.#...##.##..#.##.###.##..#..##.#..##.#..#..####.###..#.#...#.##.###..#..#.##.#...##.##....###.###.##.#...##...##...##....#.#.####.###.#.#..#.####..####.####.##...#.##...#....##.#.###..###.#....#....#.....###..#...########.#......#.....#..##.#..###....#####.#..#..###..###..#.#.##.##.##.#######..##..#..##.##..###.#######..##.#.#.##.####.#.#.##..###...#.#.....##..#.#...##.....##.#...#.#.#.###..#....#...#.###...##..#..#..#.#..#..#....#.#.###...######..#.#..##...#...#.....#..#.#...#.###..###...##...#.######.#..#####....##..##.##.####.###.#.#....##...######.#.#..#..##....#####.####...##...#....#.####.#.#.#.#...#....#....#..#.........#....#.#...#.#.###.#...#..#####.###........###.#####..#...#.#.##.#...##.##...#....#..##..##.#.#####.###.#.#..###...#.###.###.###..###.###......#...##......#..#.#...#...##.####.###...#.#...#.#...####.#.###.###.###.###....#.###.###.....##.##..#..#.#...#.###...#..#.##.#.###....#.#...#...##.#..##..###.....#.##...##.####.##....#####.#.##.#.###.......#########....#####..###########......#####.#.##.#.#..#.#.#.############..###.#.#.###.###.##.##..##..######...#.#..#.###.#...##....#.#.#.####..#.##....#..#..#..#..#.#.###.#.#.#..##.##.#.#.#..#.######.###..##.#..##...#.##.#.#.#.##...#....######..#...##.##..#..#...##.#.##..####.##..#....#..###.#.....#.#####.#.#..#..#.##.##.#######..###....##..##.##......##..#.#.#.......#.#.#..#.##..#.#.###.##...###.....#######.#...##...#..##.#...##.##.#...##.....#..#.##.#.#.##...#####.#..###....#..##.#.#...#.#####.##...#.##..###..#..##.#####.....##...#.#..#.#.#.#.##.###.#.######.#..#...#..###..#..#...#..##...#.####...#..######.##.#..#.#.#.#...##..#.#.#...#########..#.#.##.
####..#...#.##....#.###...#.###.###....#.....#....##..#####.#.#...###.....#.##.#######..#.....##..##.#.#.#..##.##.###.##..###.#...##.#.#..#.#.#.##.#..#..#.##...#.#..##.#..#.##..#.####.##...#.#..##.#.###.####.#....###..#......###.#####.#.#..###...######..#.....##...###.....###.....####..###.####.####.#######.#....########..########..##.....#..#####.#.##..###..##.#####...##.####.###..##.#.###.#.##..####...###.#....#.#.##.##..#.#...###.###..###.#.#.#.##..##.#..#####.##.#.##.#..###.#...#...#..#.#...#..##..###.#..###......##..##.#.#..#.#...##.#..#.#.##....#...#...#..##.##..#.#.#....#...##..##########.#########.####.##.#......#.##.#...#.#..###..#########......#..#####..###..........####...##..###.###.####..#.#.#...#..#.#..####.....####..#.#....#..###.#.#...##....###..##..##....###..####.###.##.##..#....###.###..##.#..##....#.##...##.#..#..#.######.#..#.##.##...#####..##..##.#.##...###...###.###.##.....#.#...##.#....##..#...##.#.#....##.....##.###.#.#####.....#...#.#####.##.#.#...##.#.###.......###...#..#...#.##.##.#######..##..#...#.##.##...#.#......##..#..#...#.....##...##.#...#.###.#.#....#.#####.##..###..##.##.#.#.#..#...#...###...#.###..#.#####...#...##..#.#####.###.#.#...##..##..##.####..#...##.#.....##.#####..##.#####.##....###....#..#...#...###...###.###...#..##.#.##.#...#..#.###..#.##.#.#..###.####.#..##...#.##.#####.#...###.#####...###..##..##.##....#...#......####..#####.#.......#.#..#.#.....#...#.#.###......#.#.##.##.#....#.####..#.#########..#.#.###...#.#..#..##..#.#..##.....#..#..#...##..#...#......#.....##..###.##.##.#####..###.##.#.....##...#..####.###..#.###.#.#..#.###.#.##...###.##...#.###.#..#.##.##..##...........#.#.##..#..#.####...####.#....#####.#...##.....####..#..#..####.#.#..#...#...#.#..#.#.#.#.#...####.#.##..####.####..####..###.#...#..##.##.####..##...#..#.##.#.###.##..##..##.##..#.#.##.####..###.#...#.#.###.####.....##...##.##.##..##..##.##.####......#....#.....###.#.#..#..#...#####.##.##..##..##.....####....##.#.##..#..##.....#.#..#.#..##...#.
...#.....####.#######..####.#.#.#.##.#.##.....#####..##..#..#.#..##.#........##.#.#....#.#...#..###.#...#...##.#..####.#..#.#.##.####.##..#...##.###..##....###...#.#####......##.#.##.##..#.###...#...#.....##.#....#.##.###..##..#..#.....##.###..#..##.#..##.#..##.....#.#.####.#..##...####..###.#.###...#.#...###...#.##.####.##.##...##..#..#...#.#...#.#.#...####....##.##..########.###.#..#.#..#...#..###.##.#.##.#.###..##.....##..#...#.####.##.##..#######..#.####....#.#.##.##.###.....###.##.#.##..#.##.#.##..##.##.###....#..#####.#.#.######.##.#####.#.#.###.##..#.##...#..#.##.###.#......#.###..#..#..#.#.#..#.#...##...#####....##.#......#.#..##..#.#..##.####.##...##...###.........##..#..#...#.#....##.#.##...###...#.##.#.##.#..#.#....####..##.....#.#.#.###......##..##..#..#...#.#.##..##..##.##....##.#.####.#...####.#...###..#.....#...#...##..##.#........##...##..#.#.#.#...#..#..#....##.##..#.##..##..####.#..###.###.#.#..#...#.#.#..###...##...####.##..#..###.##.###...###.##.....###.###.#...#......##...#.#.#.###...#..#.###...#####..##....#..#.#############.##.....#.#..#.##.#....#..#...##..#..#.#.#####..#.####.##...#.#..###.#.####..#...##.#.###.####.###..#....###....#.#.#..#.#..#.###.....#.#..#..#.####...###..#..##........##.#..##.#.#.##...##...###.##.....######.#.#...##########...###...#.##.#..#..#..#.##..##...#####.#####.#.##.#..##.###...##..#...#.##.###.##.....####.#....#....#....#..#...#..#....####.###.#...###..#..###.##...#.####.##....#...#.#.#..##.##.#####.##.#....##.#.#.#.##.#...####.###.#............##........#####..#.##..##...##.##..###..#..#.##.#...####..#..#.....##.#.#.#.#.....#...#.##..#..#.###..##.#.#.#.#.#.##.#...#.############..#...#.#.#.#.#.#########..#.#..##..#.....#.#...#.####.#...##.#...#..#...####....#..#.#.##..#.###.#..##..####...#........#.##.##.#....#.#..######.##..###.##..########..##...##.#..#.##...#...#.#..#.#.##....#####.###..##.##..##...##..#######.#..#..#..#.##.#...#.#.####...###...##..##.#...####..#..#######.###.##.#.....#.##.#..##.#.#.#...##..###
...###..#.###...#.#.###......#.#..#..##..#.#.##.##.#...##.#.####..#...#.#.####.###...#####.....#.#..##.##..#.#...##.#.#......##.....#..##..#..##.#.####.......#...##....###.##....#.##..##..#..#.#..######..#..###...##.#######.###.#...........#.#..##.###.##....##...#.#.##.##...#..######.#####...###.#..###....#..#.##.#.#..##...#.##.#..#.##.....##.#....##.##...#.##.##.##.#.#.##.#.....#####...##...###....#.#..#.#.#..##...#..#.##.#....##.##.##.#...##.#.#.####..#.##.....##.##..####...##....###.##.#.#.....##..##.##.#...#...#.#####..#.###...###.#...#..##....#.##...##.#......#.#..####.#..###.#.#..##.......##.##.#..#.#.#.###...#...##..#.###..####..#..##.##....#.###.#...###..##.....#..##.#.#.###...##..#.##.#.###.##..#.#.##.#..#..#......#####.#..#.#.##...####..#.##....##.#..###.###.##..#.#..###......##.#..##...##..##.###...##.#.#.#..#.####.#..#..##..#####.#.##...#...####....#..#....#.....##.#....#.#.###..#####.#..#.##..#.#.#......#.#..##.####.#..##..#.###..###.#.#######.##.#.###..##.#####.#..#.#...#.##.##.######..#.##...#.###.####...###...##..#...#..###.#....#####....###..###.##...#..#.#.###.####...##.##..#########..#.##.##..##.##.#...#.#..###....#..##..#.#.#.#.#...##..####...##...####..#.##...#...###.###.#...#.#..#.....##...#..#.#.######.##..#.#.........##......####.##..##.#.#.###.#....###.#.#.####..###.#.##.##.....#######.#.#..###....#.#...######...##.###..#....###.#...#...###..#......#.##..#.#..##...###..#.#..#.##......##.###.#...#.##.....##.#.###....##.....#.....##....##..#.##...#...#.#.....#.##.#.####.##...##.#.##.####....#.#.########.##....#.#...#...#####....##.##....#####..###..#.####.#...#..##..##..#######.##.....####.######.#.##.###..#.#.#..###.#....##.###.####.#.##.###.##...##.....#.#..#..#....##.###.##...#.#..#.#.##..##...#..##.##.########.##.##....##.##..#...##...#.####.###.....#######.##.....##...##...#.###..####..#..#.#####...#.##.....#.##...##..###..###..#.....##.#.#...#.##..#.##.#...###.##.#..##....#..#....####.##.#######..###..#..#.####.##.....###.##...#.#.#.#...
#.....##.###.#......###...#####..#..##.....#######.###...#.###.#.##..#......#.####.#####.#..#.#.#..#.##.##########.##.#.#..#####.##.#####...####.#..#.##..##.###...#.#.####..#...#..#.####....#..###....#..##.#.#.....#..#.###...###..#.##.#.#.##.##.#..####...##.#.#.####.....#..##....##...##...#...###..#.##..##.##.#.##.####...###.#...###.##..#.#...#.#.#.#...##.##..#.#.###.#.###..#.#####.##.#.#.####..#.#..#....##.......##..####..#.###.###.#....####..#.#.###....###.#..#..#.####.#..#.#.###.#....####...#.##.#.###...###.#..##.##.##.###.####...#.#.####....#.#....###...######.....#..#..##.#.......###..#....#.#..#######.##....#.#.#..###.#..##..#....#.#.#.#...####..#...#....#..##.....##.#...#.#.....##..####.#..##..#..#..#.###.##.#.#....##..#.#.##.....#..#######.#..#####..#####..#.......###..##....##.#...#.##.#.##.###...##......#..#.#.#.##.#.#..####...##.#..#.#..##.#....##..#.#####.##.....###.#..##.#.##.#...##....#...#....#.#......#.#.#.........####....####.#.####.###.#.###..#..####.#.##..##.....########....#..#.#.#.#.#.#.####.#.#..##.#.....#..##.##.###.##...#.#.###.#####.#.#####..#.#.####.##.###.....#.#.#......##.####.########..#.#.##...#.#..##.#......#.###.......#.##.#..##.##.##.#....##.####..##.##...###..##..#..#.#.##.###..####.....#..#.##.#.#..#.#.#.....##..#.###...#.##..##.###.###..#.#.#...##.##.#.#.#...######..#.##...#...#####.#..#..#.##.#.##.#..#...#.##.#....###..###.###....#..####..###.##.##.#.#...#.#.#####.#..#.#####.######.#..#.##....#.###..#......#..##...###.#..#.#....#..##...#############..#.......#..#.##...#.###......##.###.##..#..#..#######.#.#...#.#.#..##..#..#####..####..#...#.##..#.....#.#...#....##.##.#..........#....##.####..##..##......#.##.####...###...#.##....#.........#.###.##.....###.#####.....####.#..##....##...#.###.#....#.##.##......#.####..##..##.#.###.#..#...#.##.#...#..#..#..####.###..#..#.##.#..#.#...##.##.###.###...#.#.#####.##..#.........##.##..#.####.#.##........###..##.#######....###.#..#.#.##..##...#.##....##..#.#.....##.#...#.########...##..#..
..#.#..##.##....#.....#.##.##.#.######.###....###..###.##.#.##.##.#..#.####.##.#.####...#.##...#.#.##..#.#....#..##...##..#......#.##.###..#####.....#######....##.#######.####.#.#.#...#..##.#..#.#..##..###.###..##.##....###.###.##.#####..#.#.#.##..##..#....#..##..#..#....###..#...##...##.....#.##.......#.#...###.#.##..###....##.#..#####.#............###.#..#.....##..##....####......###.#.####..#.##.#..#.##.#.#..####...##.###.#.#...........##.#..#...##..#.##....##.###.##...#..##.#.###.#.#..##...##...##.#..##.###..##..#.#.#######..#.#..#.##.#...##..#..#.##.##.##.#####..##...#.#.....###.##....#.#..##..##.##.#..#...#..###.#.####.#####.##.#.#....##....#..##..#..#.#.#.#...#.##.#.##..#.....######...#........#.##..#.####.#.##....#.###.#.###.##.#.###..##..###..#...##..#.#..##.#..##....##..##.#.#..#...#.#..#...####...#######.##....#.#..#.##.#..#.##..######.#.##.##....#..########....#.#..#......###...#.###.###.#.####.####....##.########.#.###..#...#..#####..#.....#.#.##.#.#.#.##.####.##..##..##.#.####.#..##.##...#....##.#....#....#..#...###.#..###....##..##.#...##.#.#....#..#.##.####.#.##...#.#...#...#.#..##.#....#.#.#.#.#.#...######.####.#.#.#.######..#.##..#.#..##.#.#.#.#####....######.###..##..#....#....#.#.#.#.#.#..###...###.....#.##.##...##..#..#.#####..##..#...#.#.####.#..#...#.#..##.#.#.##...##..######...##.#..###.#.#..#.##.#.#.#.####....#.......##..#.#..##.....##..###.#..#...#########....#...#.##.#.#.###.##.#########..#.###.###...##.##.#.#..#.#######.#.####....#.#.##.#..#.##..#####.##.##.#..######.#..##..#.#....###...#.#.###.....#.#...##..#..#.#....#..##....##.##########.###....#..#..#..#.#..##.########...#..#..#..##.##..#####.#..#.#...##.........###.##.#.#####.#.###..####.#.#.#..###...#.#...#.###..##..#....###.###.##.#.#..#..##.#..####.###..#..#.##..#....####....#.#.###..##...#..###..###...#..#...##..#..#.#.#......###.#...####..###.#..#...#####......#.#####..###...##....###..###.#..##.#..###..#.#.###..##.##.###.#...#.##.#.#.#.#.###...#.###..#....##..##.#..##...#..###.
##.###.####.##.#......#..##.#...#.#.#.###..##...###..##..##....#.####...#.#.#.#..#.#..#.##.#.#...#.#.....####..##..#..##....#####..##.....##.#.........###..##.####..#.##..######.##.#..#..#.##.#..#..##..#....#.#.###.....####..#.##.#.#.###....###....#.#.#.###.#.#.####..#.#.#####..###..#.#.##.#.##...#...#.#...##.......#..##.####...#.###...#......#.#.#.##.#.##.##.##.##.###..#.......#.....###.#.####...##.#.#..#..###.....####..##...#.#..##.#..#...#.#####..##.#.####.#.#....###.##...#.#.#..##...###.##.##.#.#.##.#.#...#..###.##..###.####.##..#..##.#..#...#.#.##..###...........##.#.######..#.#..##.#.##.#.###..#...##...#..###.#.#######.#.#.#....#.#.##.####..###.##..#..##.#...#....#...#.####.##.##...#...#.###..#####..#..#..###.#....###.####...#......#..###.#..#.##..#####.#.....#..####...#######.#...##.......##.##....#.#...#.........#...##..#.#....##.......#.#.#.###..#......##.#..###..###..##.#.#..##..###....#.#.#..#...###.#.....#.#.##..######.#..######.....#.#.#.######..##...#####.#.##.##....##..##..###..#.#.##..#......##.#....#.#.####..#...######.#.###..#.#..#.#.#.##..#.##.#######.##.##..##.##..#..######..###.##.#.##.#.##..#.##..#.#####.#...#.....#.##.###.######.##.#.#.###..#.#.#.###.....#.####.##.##.###..#....#.##.####..#.##.#######....#######.###.#..#.###.#....#...##.#.###.##.#......#..#.#.#...#.##...#.....#.#..#..#..#....##.#..#.#.#.#..##..#########.#.###.#..##....###.#.##.##.#....##...#.####.#.#...##.#..###.###.....######.##.####.#.#####.###..#...##.#...#..##..#.#######..#.##...###....##..#...##.....#.#..##.#....###.#.#.########.##.#....#.##...##...#.#.##.#.#.#..##.....#......##.##...#...####..####.#.#..##..##.#.#..##..######.##.#.#..##.###.##..#.#..#...##.###.####..##....##.....###.##.######.##.####..##...#.#.####...######.###..#..###...####........#...#...#...#.#####..#.###.##..#..#......##.....#.....#.#####..##...##.#..##..####.#.#..#.#.#.....#.##.####....##...#.##.###...##..##.......#######......##..#..#..#.#.#.#.##..#.##..#.###.#.###.#.##.######...##.##..#...#..##...#
#.#.###..###....#..#.#.##...#..######..##..#.######.##..#.#..#..#.##..#...##..##...##.###.#.#.##.###..#..#..#..#.##..##......#..#...#.##.#..##..##.######...#..#.#.####..###.#.....#..##.#.####.#.....#..##.#.#..#.#..##...###...#####...#..#....#.#..#.#.###..##..#..#######....#.##..##.#.##.#.#.#..#.#####..#.##...#..##......#.######.#...###..####.#.##.#######..#.#...##....#.#.#.#.#######.#..#..######.###########.#.#..###..#.##.#.######.###..#.##.##....###.#..##.#.#..#..##.#...#..#...##..#.####......##..#.##.###.#.#.###...##....#...#...##...#...#.#.###.#..###.###.##.##...###.#..###..##...##..###..#.....##..#.####.#.#.##..##..#.#.....##...#..#.####..####...###.#..##...##.##..#.##....###...###....##..##.##..#.#..##.####..###....###.###.#.#.#..###..##..####.##...#..#.##...#..##....#..#.##.#.#.#..##.#..#.##.#.#.....##..#....#..###..##.###.#.###.....#.#####..#.#....#...##....#.####..##.#.......####.#..#.##.#..#..###..#..##....#.#.#.###.....##.######...##.....#...#..#..###.##...#.#......##..###.####.#..#.##....#.#.#.###.#..#.###..##.#.#..##...##....##.#.#..#.#....#####.#.#####.##..#.#.#...#.##.##.###..#....#..#..##.....#..#.#.#..#####.##.#..#..###.##.##.#...#.###...####..#...#...#..#...#..##.#######..####..##..##..#.#.###.#####...#..#.#..#....##.#....#..##.#.######.#...###......##..##.#..###.###.#.#..##.####...######.##....###...#.#.....#.#.#####..###...######.#.#..##.#...#######..#...###.###..#...#..#..###.####.##..####.##.#########.#....#..#..#.##.........#.#..###...#####...#....#...###.#..##...#.##.##.#..##.#..####...###.#.#....##......#.####.#.#..#.#.###...#.#.#####...##..##.#..#....##..##..#####...#.#.###..##...#..#.#.#...#.#.###.#.#..##.#.#..#.#.#.####..####..#.##..##...#.#.#..########.##.#...#.#...#.#..###.####.....##.#.########....#.#.#####...#.#.##.#....###.##......###.#.###..#.####.###..#.#..##...#####........#.##..#.#.#####..##...#.#.###.##.##....##.......###.##.#...###...#..#..####..##.#..####.#.##....#..##.#..#######.###...###.###.#..##..#....#....##..##......##..#
...#.##.###.###.##.###.#.##.......#######.#.##..####.#...##..#####..#.##..#....#..###..#####.#.####....#.#.##...##.#...#.#..#.#..####.##..#......#.#####.###....###.#.#####..#..##.....###.##.#.#..####...###....#...###...##.#.######.###...###....#.##.#..#.###...##..#.....###..#..####..##.#..#.###.##.#....##.#.....###.#...###.#####.##.#..#.##...#.#..##..#.##.#.#.#...#.##.#.#..#..###.#.##.#.#.....#...##.###.#####.##..#..####..###.#..###.##.#.#.######.##..##.###.....#####..#..##..###...#..########.#..##..#.#.#.#.##.#.#.#..#.#..##...#..#######.#..#.###.##..#.##..#.#.#...##.##...#...#..##...#.#..##...#.....#..##.##....##.####...###.##.##.##...###.....#.#...###.#...#......#.#...###.#####.#....#.#..##.#.##.####.#.#.##..#..#..#####..####..########..#.#..##.###..#..##.##.#.......#####.#.######..##.#.##..#####..#..##....#..##.###.#.....##.#..#..##.##..###...#.##..##.##....###...#...##......##..#....###.#..##........#.###..#....#....####.##..##..######.##.#.####..#....###..###..#.###.##.#.#.#....#..##......##.##..##...##.........####.#..##.#####..##.##.#.#.#####.##.##.#.....##.###.###.#..#####..######..##.#..##...#..##.#..#.#.#...##.#...#.####..##...#.#.##.##...#...###....#.##...#.#######.#.#.#.....#..###..#....##..#.#..##.##..##..##....##....######..##......#.##.##.#.........#...#..#.##.##....##.##............#.###.#.#.#.#.##...#..###.#.##...#.##......###....##.#.##..#.#.#.....##.#.......#.###.##.#....#.#.####...#..###.###.....#.##.##.#....###...#.##..#.#.##..####..####....###.##.####..#.#####.#####.##.##.##.#..##..#....#.##.#.###....#..#..#.#.####..##.....#.....#.....##..#...##.#..###...#..#.##.##.....##.#.....##.###.##.#.##.##.....#.#..#.###..#.#.#.#.#.##.#.#.####.####......####..#.#.#...###.#...###....#..####.####..#...#..##.#.#..####.#..##.#......##..#..##.###.#.##..#####..#...#####..#..##.#.##..#.#.#...#.#.#.#.#.#..#.##.#.#...##.#.#..####....##.#.#...#..#.#.#...#....#..#....#.##..##......#####....##.......##.....#.#.#.#..##.#.###.#.#..#.#..######.#.##.#..##..#..#.#....##..
.###.#.#.#####.#.###.#..##....####.##......#.##.#.#..##..##..#...#####.#.###.##.#.#....#.#.#........#..####.#..###.....##.####.#...#...#.#.###.#..#..#....########.##.#.##.##.....##..##.#.##.##.###..##.#.###.##..####..###.#####.#.##.#..#..###.#..######..##.###.#.#...#......#.....#..#..##.##...#....#.....##.###.#.##.#....##...#....#.#.#....#..#..##.#..#####.####.##.#..##....#.##.#.#.###.....####.##.####..#.##..#.....#.##.##..##.#.#...##..#.......#.#..##...#.#.......#......#####.#.###..##.###...#..##.##...#....#.###.###.###..#.##.#...##.##.##...##..#...##..##.#...#..##...####.###.###.####..#####...###.##.#....#....#.....#.###.###.##.....##.#.##..##..##..#..#.#...#.##....#.....##.#.#####...#.##.#..##.####.#####...#...####...#..#.##..##..#.#.###.#.#..#.#.##.#.##.####.#...####...#..####..#.#####.#..#.#.#.#..#.#..###..######.#..#.##.##..###.##..#..##..#...##..#..#.###.#.######..#.##.............##...##.#.##.#.##.#......####..#.##.#...#.#.....#..#.#.##.#.#######.#..#.##...######...###.####...###..###...###.#.###..##.##.....##..#..####..#..#.#.#.#..##...#..##.####....####......###.##..#..##.#....###..####.#.#..#..#...##..##.##.###.###.##.##...#.#..#..####....##.......#..#.###.###.#....###..##.#..##.#####...####..#.####..#.#####.#...###.#....#..#.#.##....###.##.###.#.....##.#.####.....##..#..####.##.#.#.####........#..#.##..##.#..#####.##..#..#.#..###...#.######..###....##...#.##......#...###.##.#.#...##.##.#.####.......#.#.#..#.#.#......#...#...##..##..#....####...#.#..#..##..###.#.#.#..#.#.##.....##.##..####..#..##..#..####.##.##..#..####..########.#..#.#...##..#....#.###.####.##...#.......####.#.#####..#....#..#.....#...###.#..##...#####....#..###....###....#.#.#...#####......##....##.###..#..###..######....###.##.#.#.##....#..##.#..##.....#.#..###.#.##.#.######....#..#..#..#..####.#..###..#.#####...#.###.#...##.#.###..#.###..######.#.##..##.#..#.#......#####.#...#.##..#..##..###..##...#.##..#...#####.#.####.#.#...######.##.#.##...#.###.#.###.#.#.##.###..#....#.##.#.#.##.#
.#..###....#.#...##..##.##..###..#..#####.#######.##..#.#.#.##..#.##.###...##.#...#..###.###....#..#####..#...#.#..####.##..#..###.....#..###...#..#...#..#..#...........###..#..##...##.#.#...#.#.#.####.##..###..####..####...#.#.#.#.#.#..##....###..##.####....###...#..#.#.##...#..#......#...#..#####.#.......#..##.###.###..#..##.###.##.....#...###.#.#..#######....##..##..#..#.##..##.#.#..##.#.#####.##.#..#####.#.#.##.##.#.#.#####.####.#...###.#..##..#.#...#.##.#.#....#....##.#..#.#.###.##.##.##..#####..###.######.#...#...##..#.#....##.##.####.##...#....##.#.#.##.#.##...##..##.#.#..##..#.##.#.##.#.#.....##.#.#...#......##..#.#.#.###....#....#.##..###.#...#..###...#.##.###.#.#.#....#...#######.......##..#..###....#.##.#.#####.....#.##..#...##.###..####..###.#...############.#.##.....##.##.#.#.##.#..######.#####....#.#..###.#.#####.#.###....#.#....##.##..#...#.#.#...#.#..#.###..##.#...#....####.####.####.#...#...###.#.##.##..#..#.##...#.#...#.#..####...#####.......#.#.#.#...##..##...#.#.##..#..##.##.###..#....###.#...#.....#.###.#.#..####..#.#..#.##.#.#####.#..###..#..#.##.#.#..#.#...#######..#.#.#.#.####.#...##.####.##.#.####..#..#.#.###.###.#.#...#.##.####.###....###.###...###..###.#.#####..##.###..#..##..#.#.##.#.#.##.#.##..##..#.#..#.####..##.##.###..#........#.#..##.##.##..#...##.##..###...##.##.#.#..###...##...##.##..##.#....###.###.#.####.###..##....#...#.###.###...###.#..##..###..#####....#.##.#.#.#.##...##.###.##..##.#.#.####.###..#.##..######..####..####......####..##..#...#.#.#######......#....##.....#....##.#...#.#......##.#....###########..##......###...#.#.###..#.##.#...##..#.#....#..#.#.#........##..#.#.#.##.##..#..#.###.#.#..##.#..#...#.....#.#..#..#.#..#..##..##.####.#.#..#....#......###..#.##......#.##.#.##..#.###...####.###.#..#..##.##..#.#..###.#.#.#.#.##.#..........#.#..##.#...#...##...##..##..#..####.#..#..##..#.####.#..#...#..#.#.#.##....######.####.#....##.#..#...#...#.##..#.#.##...#.#..#.###.#..#..#...######..###...#...##.#...#..#.#...##.##.#####
#..#.##....#...#..#.#.##.#.#.#.....#.###.##..#.##..#.##..###..#..#..####.####......####..####..#..#.##..#..##.###....###...##.#..##.###..#..##.###...#...#.#.#...#.#.#.###..#.#..##...####..#...#...#.##..###..##.###..#.###.#.#.........#####.#.##..#.#####..#.##...#.#.#..#####.##.#.#.#.##.#.#.######.#.......##.#....#.#...#..#..##.##....####..#####..####.#.##...####.##.##...#.##.#.###...##..#....#..#..##.###.#.########...#.####.#.#.#.##..###.##.#...###.#...###.###.....#.......####.###..#...#.#.#..####...#...#######.##...##.#....#.####.#....###..##...#.####.#.##.##..#..#.....###.###.##.#.##.#..##...#..#..###.##.###.####..##..#....#..#.###.###.#.#...#.#.#.###......##..#.###...##....####.....######.#..#..#.###.....#.#.#....#...#..#..#...#...#..##.##..#..######.#.###...#...#.##....###.###.#..#.##.##..####.##.##.#.#..##.##..####...#...###........#...#..#.##....#.#.....#..#..##.##.#.##.#....#.#.##.##...#....###..#.....###.#.#...#...#.#...##......#...#.##..#.#.###.#..#....###...##.#.##.#.####..###.##...#...#........#.###.##.#.#....#.#......#####.#.##.#...##..#.#....#.#.######..#.#..##..#..#..####..#.#####.....##.#.###.##.###.#..##........####.#..##..##..#...###.#.###.##.........##.....#..#....##..###.##.######.###..#...####....#.#..####.#..#..#..#.....#.#.#.###.#.#..#...#..#.#.#####..#.#...#..###..##....#.##.##...##...#..##.##.#....##.##..##.#.###...#........#......###.#.##.####..##..#....##..##.#......#...#.###..##....#....#...#....#.#.##..####..##.#....#####...##.#.#.#..#####.....#.#.##..#.####.#.##.##.#.###..#..#.#..#.##.##.#..####.##.#.#.#..#######..##.###.#..####.####...##.....###.....#..#.#......#####.....#.##..##########.######.###....#.#.###..#....##.#..######.########....##.#..###...##..##.##.#####.######.####....##..##.##.##.#..#...#.##.##.........#.#...###..#.###....#...#..#.....###.####.#....####....#.##.#...##.#.#.#...#.#.#####..#...#......##.##########.##.###.....###.###..##.##.#.##.#....##..####.###.###.##...##.##.#..#####.###....#.####.....##.#.####.###.##.#####
.....#####....##.#.###.##.#...#...###..#.##.....#...#.##.#####..#.#####.#....#.#.##...##.#######..#.#.#.#....##..##..#...#.#.#..#.###.#.##.##........###..#...#.#.###...##.#..###.#.....###.....#..###.#.....##.##.##...#.##.###......###..#.##..###.####...#.#.#.###.#..#.#.#.#.#.#..##...#.#.#####..#..#.#.###..######.###.#.###.#.##..#..####.#.#..###.#.##...#....####.#..#.#..##..##..#.....###..###.#....#.##.#.###.##.#....#.###...##..##....#..#######.#.#..#####.###.#####.#######..#.#..#####.#.#.#...#..#####....##.#.....#.#.###......#..#..#.#.#..#.#.....#..###.....####...#...#.####..##.......##..#.####.#####.#..##.##.#####.##.#.........##.##..###..#..##...#..#...#...#..###.#...#...##...#..#..##.##......#...#...#.###...###....#.#..#.#..#..##..#..###..##.#.........#.####......#...##...#..#.#.....#.##.#.#.####.##..####.#.#.#...##....##..##..#.###.########.##..##.###..###..#.....#..#..#...###.......#..#.##.##.##.##...#.....##.#.#.###.##.##..##..#.#.#.##.####.##.#..#..##.#.###.#.#..###.#...##..#.#....#.##......#...###..#..#.#........#...###..#.#.###.#.#.##...#...####..####..#.###.#.#.#.##..#..###..#####.###.####.....#..#.#.##.#...#.#.##.##..#.#######.#.###....###..#.##..##.###..######..##..####...#..##..###..##...##.....##.##.#..###..##...#.#..#####.#######.#####.#.###..##.#...##......#.#..##..#.#..#..#.#..#.....#....#...##.#.#.#.....#..#.###..##...#..#..#.#........##.###..##.###...####........##.##...#..##.....#...#..#..##..###.##.....#..##.#.##.....#...#.#..#.#.#.##..#....#.##...##.##.####.###.###..##.#....#...##.#..##.#...#....#####....#.#..####.####.#.#####.##...#.###....#.#.#..##..#.#.##..#####...##.#.....####..##.#..#.###.##.##.#.##....#.#.##.#.#.....###...##..#####.###...#.###.....#.######...#.#.###...#.##...#.#...#......#....#####..#..##..#..#.###.#..##..#..###.#...##......###.##..###..#.##.#....##.###.#...###..#..####..#..........#....###.#.#.#..#....#.....#.########.##.#.....######.#...##...##..#.#..#.###.....######.######.#...#.#.######.....##.#.###....###..#...#....#.
.##..##.....##.#.##.#.#...#...#......#.#######.#......#.#...##..#..#.####.###.##.###..##.###.#..##..#.#.#.#..#..####..###.##.###.#..##.#.#..##.#..##...###.###.#.##...#..###........#..##.##....###.##..##.#.#.#....##....##...##...##.#...#...##...#.##.####.#....#######.##.##..###.##...#..#..#..###..#...#....###.#.##.###.##..##.##.#.#####..#..#####.#.##.#.#.#...###.....#......#.#...#.##....####.##..###...#.###.....#...#..###...#.#.##..#.#.#########.###..##..#..##......###....##########..#..####.#.......###...##..#..#.##..#...#.#....##..#.####.#######.#.###.###.#..#...#..#....####.#.#..##...###.###.#.#..#.#..######..###...#..##.....#####.#####.#....#...######...###..##...########..##.#....#...##.###.##..#.##.#..##....#.#..##.#.##.#.##...#.##.....###..#...#..##..#.#.#.###.##.#.#.#.....#.##..#....##.#.####.##.###..#...#.#...##.#...###.#..#...#.###.##...#..#..##.....#.##.#.#....##.#.#.##.###..#.#.#.##.....#..##.#..#..#.#.#...##.#.##.#...#####.####..#.#..#..###.##.#####....######...#..#..####.#.#.......##.###...##.##..#.#.#.###..###.#.#..###..######..#.#..#...#...#.#.#.#.#.##.##.#..#.#.#.#.#....####..##.#.####...####.#.##.##..#.#..#.#.#..##..#....##....#..######.#.####..##..###.#..#.##...##.###...#.#..#...#.###.#..#####..#.....########.####..##.#...#.#.##...#.###..###.#.###.#####.##.####.###.#.##.#..##.#..#.#.###..##.#.#..##..#......###..#..#..#.####..#.#..#.#...#..#...#..###.....####.#.#..#.##.##..#.#.#.##..##...#######...##..#.#.##....#....####...#.#..####...#.#.#.##...#..#.#..#..#.#..#####....#..#...#.###..###.#..##.#..###..##.####..#..#.##.#.#..#.##.#.#........####..##.##......##.##....#.....#.#.###...####.###.#.#.##.##..###.#####.##..#.#.#...##.##..#..#...#..#.#..#.#.#..#..#.######..#.#......###..###.#...#.##..#.##.......##.####...###.##..#############.###.#.###..##..##.#.#.##..#...#.#..#..#..##..#.##....#####..#.###....###...#....##..##..####.##.#.###..##..##..#.#.....#..##...#...#######.#..########.#.#....##..######..##.#.###.##.####.##.#.#.###..#.#.#####.#.#.##..##.#
##.###.#.#.##....#.###.#.###.###..#...##..#...###...#.#..#...#..#..#...#.##.#..###...#####.#....##...#...#..##..#.#.##..########.#.##..#.#######.##..#.##.###..#.#.##..##.#....###.#####..#.###...####.....#..#.#.#..########..##..#...#..########.#.####.######.#..#.#.#.##.#.#.###.....##.###..##...#...#..##.#.#.#####.#..#.....#.....#.########...##.#.##.#..##.###.#..##.#...##..###.###.#.#.#.#.###.#..##.###..##..#..##.#.....#.###.....#..##..##.#########..#..##.###...#.###.#..##.#..#.##.#..#.....##.###..#..##.##.##....###.##.#.#.....#.#...###.##.#..#####.#.#.#..#.#.#######..#.##....###.....#..#.####..#.#..#..##...#...#..##.####.#.##.#.#..#..#...#.####.###.##.####.###.##..#...##....#..##....#...#####.##.#.##.#.#.#..########....#..#.#####.#.###.##...##.....#####..#.#......#.###....##....#.#.######..#.##.##...#..###...#....#...##.###..#.##.#.#.#....#.........##.#....#...##.#...##.#..###########..#...##..#.#.###.#.#######.#.#....#..#..##.####..#..##..#..#...#...##.###...#..###....#......#.#.##..#..#.##.#####.........#.#.#.#...##...###.#.#..#.#.#.##.#..#####....##.##...#.#..#.###....#..########.#..#...#.###........###.#..#####....#.##.....###...#....######.######.#####.....##.###########.....##..#.....##..#...##........#.#.#.##.#..#.#......#.###..#.#.....##...##...#.##.#...####.##..######.#.#.##.##.#.#####.#.#####.#######.###.#..####.###.#...#..##....#.#.#.##.##..#######.#.#.###.###....#..##.#...#.....##....##..###..###..###.###...#.......#..###.##..##..######.#####.#.#..##.###.#...#....###.##.##..####.###.####..###.###........#.#.###.###.###..##...##.####.##.###.#.#.##..#...#.#..###.##..##...##.#.#..###.###..####.#..#.#.###.#...###.#.#.#.#..###.#.#.#.##.##.....#.####..#.#..#.......#...###.##...#....#...#.#......###...#....###.####.#.#.#...####...#.##......#..#.#..#.#..#.#.####....#....#.#....#.....#..#.#......###..#.##..#.##..##.##.##..###...###..###.#.#.#.#.#.......#..#.....###..#.####..####.##...#..##......####...#####.##..#..##.#.......#..#.#.##.###.##.#..#..#.##...###.##..#
#..#.......###.##.######....##.#.#..#.#.##...##...#.#.######.#..#####.####..####.....##.#....#.....#..##.#..##...#.##.####....###.....#.#.#.#..##.#..##.####.#.##....###.###..####..#..#...#..###.#.......#..###....##.....#..###..#.#.##..##.##.####.....##...#.###...###.#####..##...#.......###..#..#.#.##..#.##.#.#.###.#.####.#.#.##.......##.####......#.#.#...###.#...#########.#..########..#.##........#...###.#...#..###...##.#..##.##..#.##.###.##.#.#.#.#..###....#.#.#.#..#..###.##.#..###...#.......###...#.#..#.#..#...##.#.#..#..#.##.##.#.###..##.###..#....####.##..#.#.#.###..#.#..##.##.#..##..##.##.####.###...####.##.#.##.#.##....#..#.##.#.##....#.##.##..#.#......##.........#.###.#......###.....##.###...##.###.#.#....####..####.###.###..#####..#####...##.##.#.#.#.##...#######.##....#.###.##.#...#...#..###.#.###.#..#.....##.#.###.#.###.#.#..##..##.#####...#..########..#..###..#..#.#..######....###..#.##....###.##.###..#.##.###.##...##..#...#.##..#.##..#..#..##....##.#.#..###..#...#.......##.#.#...####..#...###..##.####.#.###.#..#.##..#.####.##.#.#..#..##.#..#.#...###.#....##......#.....###..#####...#.##..######..#...#.#...#.####.##..#.#..###.##.#.#.#.#..##.###...#..#.##...#.#.#####..#..#######......#####..##.##.#...##.##..#..#####...####.##.#.##.#..###########.....###.#...#.#...##############..##.###....#.###.#...#.#.###.#..#...#.##.....#.###.#.##..######.###..#..#......###..#.#...#...#..#.....#.##..##.....#..##..#.##....#..###.#...####.#######.......#.#..###.#.#..##.#####...##.#..######.#...##.#.#...#......#.#.###.....###..##....##.#...#.##.#...........#.#...######.#.######.###.##..######.##.#..##.#..#.#....#####..####.#..#.#.##.....#.#....##..#.####..#.....##....##.#.####....##..###.##..##..#.##..###.#...##.........####.##.#.......#.#.########.##.######.#.####.##..#..#.#####.#..#.#.#.##.#######.#####.###..##.####.#....#####.....#.###.##.##.#.......##....#.#.#.##....#....#..#..#.##..#.#.........###.#####..#.####.###.#.##..#.#..##.##..##...##....###.....##.##.##........#.
##..##...##.#.##.##...#######.##.##...###....#.##.##.######.###.##.......#.##.#....##..##.#.....####....###.#....###..##..#.##..##.##..#......##.#...#..#...####...#.#####..#.#.#.#.#...#.##.##......###.##.##.######.##..#....###.####.#.#.#...#...##......#.#....#.##.############..#..##.#..#.##.##.##..#..#.###.##.#......#......###.#.....#..##..#..######..##.#.#..##..#.##.#...#.#.##...####..#..#....#.####...##..##..#..#.#..#.......#.###.##.#.#.......##.#.#..#...##.#..###.#.......#..#.#####.##.##.##.##.#.#.#..###..##.....##....##..##.##.##.####..#####...######......####...##...##.##.#..#..#.#.#.#########....###.###..###....####.....##.#....#..##.#.####...#...####.##..##..##.#....#.##.#.##...####....#.##..##..###..#.##..##....##.#.#.###...#.#.#.....#..##...#####.###...#####..###.#.###...#.....#..#...##.#.###..##.....###..##...#.....#...##.###.#..#.#...#..###.#.#..##.##..####.#......##.#.....#.##.####.#..###.#.##.#.#####.#####..##.#.#.##.#.##.#.####.###....#....##..##.#####..#......#########.#.###.#.......#.###..#..#.#.##.#...####....#....#.###...#.##.#..#...#.#..##.#..#.##.....#..#.#.#..##.#..#.##...#.##.#####.##.##...#...#...##...#..#.....#..#...##..####..##.#.#.....#.##....#.#.#.###......#..##...##..#....#...###.#.##..#.##....###...##....####.#.#..####.#.#.##.#.#..###.##....#.#.##...#.##.#.......##.###..##...##.....###.#.#.#####..###.##.....##....#.#...##.###..#.##.#..#####..##.####.###.####..#.##..#.###.###.....######....#########.##..#.###..#...#.#####.#.#.#.#..##...#..#########..####.###.#.#.#.##.###...####.##....#.######...###.#......#.###....#.##........#####.#######...#.#####.#.#...###.##..#..#.#..##..#...##....#....##.##..##....###...#.#.####.....####.#.#..####.##.#...#......####....##..#.###..########.###.####.#.#.##..#.##....##..######...#.#.#...###..###..#...#.#.#.#.#.##.....##.#...#...#..#..##.....##..#..#.#.##.##.#.#####....#.#..##......###...#.#####.###....##....#........#..##....#.....##.#..#..#...####...#..#...#.###..##.#..#..#.###.####.#..##.#####..##....
..#.###..####..#..##......#.#..##...#..##...#..##.....#....#..##..####.###########.##.######.#.###.##.##.....#...#.##.#.#.....#..#..##...###...####..#..###.#.##.###..####.###..#.##.###.....##.#####.........#..#..#####...#.#...#.#.##.#.#####...##....####....##.#...#.#...#..#########..##.#.#.#.####..##...#.##....#.#.###.#.#.##..###.####...####..#.....#.#.#.#.##.###...#.....#.###..##.......#.#.#...##.#.#.#.##.##..#.#####..##.##.#....##.#.#..#.....###...###...#..###.#..#.#.....##....#...#.#.#.#.###.##.#...#.#..###.#####...#.....#.####...#..#.#.####.######....##...##.##.##.###..#.#......###.#.#.#..#...###..#.#....##.#####.#....#.#.#....#.###..#.....#..#.##..#..###.##.#########.###...##.##...#.##....##....######.##....##.##..##..#.#.#####.#.##.#.###.##.###....####.#.##.#.#..####....##..#.#.###...###..###...#.#.##.##.##..##.#.#####......##.#######..#..##.#.#.#####.#.###....##...###...##..#....#....#....###.###..##.....#.####.#..###.##.#....###..###..#####.##.#.#..#..######..#.#.#.#..#.#...#.##.###.#.##..#..#..#.#.#.#....##.###..#.###.####.##.###..##..###....###..###...#.....######.##.###..#.##.#..#####.##.###.......##....#.....#..#...###.###.#.#.#..#####.###..##...#..#...###.#....#..##...##.#.#..#....##.#.#.#..#.#....##.#.###....#..#.#..#..#..##..#.#..##.##.####.#.#.#..#..##..#.#...#.###...##.#....#..#...##.##.#####..####.##..##.##.#.#.......##..#.####.##.#.####.#..#.##.#..###..#.####.#.#.####..#..####...#..##..###....####..##.#####.##.##.##..##..###.#...#.....###.####.#######.#.#.##.#.##.....#...#####.##...##...####..#...#..###..#####..#......#....#..#.#.#.#.#.....##.#.##.#.....######.####..##.#.#.#.####..###...#...##..#..########.##.#.....##.##.......#####...#..#.....###.#.##...####.##...###.##..####...####.##..###...#..####..###..#..#.##.#..#.#.#..#...###.##...#..##..#....###..####..###.#.#.....####..##...#..###..##.#.##..#.##...##.##.#.#.#.###.#.####...##...##..####.##.#.#.....#.#.....#..#..#.##.###...#...#........####.#..#..#.#...##..#.#.####.##...##.####.##.#..####.#
.#..#.#..##.#.#.###.#...#...####.####.####..##...##..###.###.#.###...#.###...#......#..#.#.....#....#..####..##..#..########.####.#.#######.#..#.#####....#.#..#########...####..########.#.##....##..#..#..#....####....#.#....#.##..####.###...#.#..#####.#.#.#.#...#..#..###..#...#...###......##....#.####.....#..#...#...##.###....##..#...##########...#.####..#.#.#.###.#....####.#.#.#..#.#####...##...###.##...##.........##.###.##..##...#..###.#.####..#######.#........####.#..#.#.....#....#.#.###..####...#..####..##.###..##.##....#.###....#...#.#...##.......#.######.#..#.###..##...##...#.#..#..#..###.##..#...##.#..###..##...####.#####...##.##...#..#..##......#.#..##.##..##.#.#.####..##....#.#.....##..##.###.#.##.##....##..##....#............##.#.#####..###..####.##...#.#.#.#.##.#.#.#.....#.#.#.##.....#.#..##.#####.#.#.##...###..##....#...#.##....#.#..##.##.##..#####...##..##.#..#.#.####..#.#.......#.#.#.#..#...###.#...#.####.#.#####.#.##.##...#.##.#..#.#..#.#.#.#...###.#..######...##.##....##....#..#####.######.######.###..#..##.#.#.#.#..#...#..#.#..#..#....#...#.........###..#####.#.#..#####.#.######...##.##.#..##.#.###.####..#.#.##....#.####.....##...#..###.#..##.##.#..#.#..#..#..##.......##.#.##.#.#.##..##.####...#.#...##.##.##...#.###.#.##.....#..#######.##.#####..##.#.#..#.###.#.#.###.##.######.#.####...##.#.#..###.##....#.##....####.#####.#..#.##.............#.#.##...###.#..####.....#...##.#.....#..##.##..#.#....#####.##.#.#.#...#.##..#######.##..#.##..#....##.#####.#....####.#.#.##.#..#..#.###......##.#......##..###.#.###.###....###...#..#.##...#...#....#....##..#..#...#.###.#.#####...#..##.#.#.###.##.#....##.#####..##.#..#.#......##..###.####....#.###.#..##.####.....#...#..#..#.##.#......###..#.##......##.#..#.#.#.#.#.#.#..#...##.##.###..#.#.....#..#.#..#.####.###..#....#####..##...#..##..###..###...#.#....####........#.##.....#######.#.#.#..#.#....#.#.#...#######.##.####....#.#...##.###..##...##.#..##.#..#.####.#.#..##.##.##.....####..#.#....##...###.#....#.#.#.#
...##.##....##.##.#..#...#....######..##..###...######.#..#.#..#...#.#.#..#.#..###.....#..#.##.#.##...##.#...#.#.#######.......#.#..##.##..#.##.##..###.#.####.#.#..#########.#.###..#..#.#...#..###..#.#.#.##.#..###..#####.####....###.....#.#.....##..###..####.#..#.#........###.########...####...#.##.......##.#.####.##..##.####.#......###...#####..#..####.#..###.###........##.#..#.#.###......####..#.#.#..##.#...##...#.#####..##.#.#...#..#..#.#.####.##.#.##....###.#...#.####.#.###.#..###.###.#####..##.#####.#.#.#.#.###.####.##..#.#.###.#....#.#.##..#.###....#.###.#..###..#.#.#.#.#..####.#######.##.#.##.#..###....#.#...##.##..##.#.....#.#.#.#......####.##.#.###.###..###..##.#.....#.#.#.###...#..#.#.#......##.....##.#.#.#.#..#.####.#......#.#.#.....#.##.#...#..#.#..###.##..#......#.#...#####...####...##.##.#..#..#.###.####.#.##.#...##..#......#......##.###..##..#...#....#.#..###...###.#.#..##.....##..##...#.###..##.#.##...##.#.#.####..##..###..#.#.##...#.#..##...##...###.#.#.#.#....#.###.##.....###.#.#.###..#.##..#......####...#.##.#.#.#####.#.###....####.#.##.###.#..#.###.####..#...#..##.#..##.#.##..#......#.#.......##..###..####..###...#..#..#.#.#.##.....##.#.####..##..#..#.##.#..#.....##....#####.##.##.###..#..#.##..#.#.####....###########.#...########..##..#.#.###.##...##.#####...######......#.....#..#.#.###.#.###..##......#.#..#.##.....###..###..#.....#.#.##.#.####.###....##..#..#..#..#######.####...#.#.#.#####..#.##.#.#..#.#.#..###..#.#.#.####..#...#.##..###...##....#.#.###.#####....##..##.##.########.#########....###...#.#..#.###...#...##..########..#.####.##...#.#..####.#.###...#.#.#.#.##.#..##...#..#.#.#.#...###..##..###.#..######.......#...#.###.##.###.##.....#..###.#....##...#....##.##..#.#.....#..#.#.##.######..#...##.#...#.#.###.#.#####.......#..###.###...#...###...#....###.##.##...#..#..#..###.#.##.#....##......###.#...#..#......##....##.....##...##....####..##...##...##.##.##.##.###.#..###....##..########.#..#...###.##.###.##.#...#..#..###...#.###.#.#.####
..#..##..#.####.#.#.....####.#.##.#...#..####...##..#..#...#..###.#######....#.#.#.#.#.....#..####...#....#.##.#.#....#..##..#...###..###...###..####...####.#..#.#..####.#..#.###..#.....##...###....#...###.#.....#.#.#.#...#.....#..##..##.###..########..#...#...####.#.#.#..####....####.#..##.##...#..#.###.#.#........#.####..##..##.###..#.........#.####.#####.##.###..#.#.###..#.#.##..#.####..#..#..#.#.#.##..#.#.#..#.#....###..#..####.##...#.#.#....#...###..#.##..##.##..#.#...##.#.####.##.#.##....#.##....#...###.#...#####.###.#......#.##........####.######...##.###.#..####....##.#...##...#.#..#..##....#....##.#..##.#...#...#.#.##...###.##.#.####.#######.###...#.##########..###.#.#.##.##..#...###..##...#######.#.#....####.#..##.#.#.....#.#...#.#....####....###..###..####....###...##..##..#.###..##..##.#..##.####.#.##.##..##..##...###...##.####.##...##..#..##.#..###.####.##.#.#.#.#......#.#.#...##.#.##.##...###....#.#...#####.....#...##.###........##.##.###.#.#..#####.#.###..#.###.....###...#.#.....#.#....###.#.##..#.#.###....##..##...###....#..##.#...#..#..#.#.#####.#..###.####.#####.#######....#....##...##.###.#...##.###...##.....##..#.#.#.##.#.#.##.##..##..#...#.....##..##.#..#..####..#.##..####.#.#.#..#..##...##....####....##.##..###...#.#.########.#.#.######.#.#.#.#..#...##..####...######.###..#.#..#...###.#.###.#..####...##..######....###............##..##..##.#.###....#.#...#..#.#..##.#.#.####.##..##.#.#.#.#...#..#..#.######.##..#...##.###..#..##.##.#.#.#..###...##.#.#.#...#.#..#.###..#.##.##.#..#######......#######.#...#...#.########.#..####.#.##...##.....########...#..#..##.#.##.#..#.###....##..#..##.#....##..####.###.###.##.##.###....#...###....##...###..#.#.#.....#.##.#####..#.###..####.##.########.###.#######...#.....#.#####.#.###.#..##..##...##..#.#..#....##...#####..#.......#..#.#.#.#.#....#####.#......#.##..#.#..#.#...####..###..#...#..##.#..#.#####.###....#.####.##.#####...##.#....#...#.##.#..###...##......#...#####..##..##.###..#####.#...##.......#...###
.###.#...#.######.##.##.##.##....#######..#.#.#.##..##....##.#.......##....#.#.....#...##.#..##.....##....#.##.###.##.#.##.##.......#..#.#.....####....#...##..#.##..##.#...##.#.#..#.##..##.#..#...##.#######...##.....#..###..#.#.#######...#...####..####.....##.#.#.#.....#.#...#.###.#..#####.##.#..#....#.######.#.##..#.....#...#.#.#.#...#...#.##.##.###.##.#######.#..#####..#.##.#.##.....#####....##..##..#.###.#....###.#.#..##.#.###.#.#....#..#....###....#.#..#..#.##.#####...###.##..#..###...###.#...#.#.#..#.#.....######..##..#.#.#..###.##.####......#.##.####..##.##.#.#..#..##.###.##.###..##..##....#.###...##.#.......#.#.###....#.####..#.....#..######..##.##..#..########..##.##..#...####..##.#....##..#.#.####...#..##..####...###.#...###...##.#.#..##...##.####..#..#.....#.#.##.####..###.##.####.#..##..#..#.#...##.##....##.....#..##..#.#....###.#.#......###.#.###..##.###.##....#..###...#...#...##.#..#.##.#.#.##.####..##.#....##..####.#...#..###.#..##.#..#....##.#####.###...###..#..#..##...####.##.#...#..#..###..#..#######...##.####..####.#.##.#.#...#...#.#..##.##..#.###.#..##..##.##..#.#..#..#.####......#.#..###..#.###.....#..##.####.###.#...#..#..#.#......##.###..####...##.#.#...##..#.#...####..##.#..#.####.##.#..#..####.#..#..##.###.#.#.#.#..###..##.##..####.#...##.##..##........#...###...#######.###...#.#.#.###.#....#.#.#..#..#.#.....##.##.##...#...#.##.#.##.##......#..###.#..#..##.##.#.#.##..#######.###.#.#.....#.#..##..#......#..#.##...#.###.###.##..##.###..##..#...##.#.#....#.#....###.#..####.##.###..#.....########.###...#.#..#....#...######.#..######...#.....###...#...##.##...##..#.#..###..####.#..####.##.#.##...##.....##...#.#.##.##.#.###.#.....#####.#...##.###..####..#...###...#####.#.#..#..###..##.#...#####.....#.###.#####.....#...##...#...#........###...#.##..#..#.#...#...##.#..#.#..#####.#####.##.#####....##.##########.#....######..##....###....##...#.......#...######..###.#.........###..##..#.#..#...##.#..#.##..##.#...##.##...#.###.##.#...#...##..##..#.#..##
#.#.....#..#..##...#.##.###.####..###.##.##..##..###....##.#..#..##.###.#..####.#..#.###.#....#..###.##...#.##.##.##..#..###.#.##.#...###...#.#.####.##.#....####....#.###.##....#.####..###.#####..###.###....###.######..#.####.#....#...##....#..#.###..#..##.####.#.##..######.###...##.#.##.##..#..#.#.#..#...##.#.####.#####.###..#..###.#.##....##.#######.#....##..###.##....#..##.#.#...###.##...#..#..##..#..#..#....#..##..########...##.#.#.####.###.###..#...#.##...###.#.#.####.#..#..##..#....#.#.##..#.....#.#....##..#..#..###.##..#.#.#..##.###.###..###.##...###.########......###.#######.#############...#####.##.###.####..##...##.#..##.##.....##..#####.....#.###.....####....##.#..#.###.######..##.##.......##...####..###....##..##.#..##..#..##..###.##..#.####...##..##.#..###....#...######...##...#..##.##..#..#..#..####.#.#.#.#.#.#..###....#.##.###.###......#.#....#...#...##....#.#.#.......#....#.###....#.#.#......##...#.#.#.##...#.#...##..#.##.#.......##.##.#######...##.##.##.#..##..#.#.#.###.....##...##.#.#..####.##.#.##..#..#.##.###.##.####.....#..#....##...###..###..##.###.####.....#.##...######.#..##.....##.##.###...#..#...######..##..#.##..###.#..##.###.....##.#.#.###.#...#..#.#.#.##..##..#..#..##..###.....#...##..####..#..#####.###.#..###...#...#######..##..#..###.......##.###...##..#.#.##.#####....#...#...####...#######.#.######.#.#..####.#..###..###..#.....#.#.#.#.######..##....#.#.#.##.##..#######.....#.########.##....#.##.###...##.#..#.#...#...##.##.###..#.####.##..#..#.####.##..###...#.#.######..######.#....#..#....#...#.#.##.#...#.#...#.#.#.##..#.#.##....#.##..#..#.#.##..##....###..#.###.#..#.#....#####.#..#.....#..####....#...#.#....##.#..#######.####.##.##......#.#####.#.##...###.##.#...######.#..##...#....#...####.#.##...#...#.###.#..###.#.#.......##..#.##.#..#.##.#..##...#####..........####.#.###...####...##.#.#.#.#..##...###.#.####..###.......#.#..##..#......####...#.#.#.##.###.##.##.############...##.#.##.##.....##.#.#..#.#.#.##..###..##...####.##.##..#.
..##..##.##.###.#...#..#..##....#.#....##.###.#...#....#######.##..#.##..######.##.####....#.#.###.#...#.##....###.#..###.#..##.#...####.#####..##.#...###..#.......##....####.#...#.#....###...#.#......##..##.#.##.######.#..#......#.#.#.##...##.#.##.#####.##.##.##...##.##...#..#.....###.##.#.#..#.##.#####.#.#.#.#.###....###..#.#####..##.#..#......#...####..##..###..####.######...#..#.######...##..#...##...##..##.#.#..###.#.####..#...#..###...#.#.#.#...#...##.#.#.#####..#.##..##############.###.#..#.#.#.##.###.###....######.#####.##..#.....#.###..##.#.##.#.###.##....#...##.#.#...##..#....#.###.##.####.###.....#.#...##..#...##.#..#...##.##...####.######..##.###.###..#.##...#.###.#.##.##...##.##...##.#..########..#.#..###..######...####.#.##.....##..##.#.#.#.###..#..##..#..#..#.#.....###.##.###.####..#......####.###..#.##....#.####..##.##.########.###.#..##..#..##.##......####.##.##########...##.#..#...##..#...#..##...#..#.##.#.#.##..#.#.#####...#...##......##..##...#.###...#..##..#...#.###....##..#.#######.#.#...#.###..###.#.###...#.......#.#.#..####..###.##.###.##...##.#...#.#.#..#.#...#..#....####..###..##.#.####..#.##.##..#..####..#...##...#.######..#....###....##..#......#.####.#.##.########....#.#...#...#....####...####.#...#.###.####.#......####......###.#.....#.##....##..#.#####.##...#..##.##.#.###.##.....#...#.####...####....###.##.###..##...#.##....##..###.##....#.#....##..####.#...#####.##.#......##..##..#..#....#..#..##...#..###.....#...#.#.###..##..##.#........#..###.#..###.#.....#..##..#..##.##..###..######..###.#..#..#.#...####.##.#..##.....#.###..#.#.#.#####.#.#.....#.###.#.#..###.#...##....####..##..#.#...####.####..#.#...###.####.#.#....#..#.#.###.#####.###.#..###.##.#.#.######..##.##...###.#####...#..##...#..###.#####..#..#.###.##.#.##.##..#.#.#.#####.##..####..###......##..###....##.....####..#..##..#.##..#.##.#.#..######..#.#...#.##.##..#.....####.#......#####.##.#...#####.###.######.##.###.###.###...###.#.#.##.#.####.#..#.###.##.#.#..#...#.#.#.##..
##.#.##..#.#.##..#.##.#.##.##..#....#..##.#.#.##.#.####.#.##..#.....#.#...##.....#####...#.###..##.#.#...#.#..#####.###........###.###.###...#########.#....##.#.#...#.##...#..##.###.##...#.#...#.###.#.#..##.#####.###.#.####..##....###.###.....##..##..#.##.#......###.##.#....####.#...##.#..##..#######.#...#.###..#.#.###.......###..##..#.##.#...#####.##..#.##.##.####.##.#.##.#..#.###..#..#.##.##....##.#.###.###.#.##..##.#.##...#.#.#.#####.##..####.###.....#..#####.####.#####.#........#..####.###.#.#........#.###..##..###.#..#...##.##.#.#..####...###.#..#.###.####..#.#####.##..###...####.###.#..##..#.#.###...##.##....#.##..#......##.##.#......#...##.#.##.#...##...#...##......#.#....#.#.#.####.#####.##.#.....##.....#.#.#.##.#.##.#..#.##.##############..##..#...#.#..##..#####..#.###..##.#.##....##......#.##.#.##.##....####.##.#.......#..###.##.#..#...#.##.#..#..####..#.#..#....##.#######.#..##..##.###....#.#.##...##.#........##...######..#.#.###.##.......#.##.##.#.##.##.#..#.####...##.#..##.##....##....#.##.##...##....#...###.#.#.#######..####......###.###...#..#...#..#.###..#.#...#......#.#.#..#.#...###..#..###..##..###..#..#...##.#..####.#.##..#.###...##...#####...####...###..#.#..#.####..#.....#.#..######...#..##...#......#.#.....#..#...#.##.#.#.##.####.#.#...##.#...###.#..#.##.#.##.#...#.#....#......###..#####.#.####....##...#######.##.#.#.#.#.#.#..#.##.#.##.##.###..#..#.##..##...#...#....#....####.###.#...#.###..#####.#.#.#####.#####..######......#####.###.###.#..##.##....#...##..#....#.....###.#.###..#...#.#..##..##.#.##.#..#.#..#..#.##..##.####.##.#.####.#.#...###.##...#####..###.###...#..###.#.#.##..##.#...#...#...#.#.#.###.#...#.#..#####.##..#..#.#.##..#.#....#..##...###.#.#..#..#...#..##...#...##.##.#..#.#.#.#..###.#...#..#..#.#.##...#...#.....#..###.#.###...##.###.###....##...##.###...#.##..###..#.#.#..#..#####.#.##.##...........#.#......#...#.#..##.#..#..###.#..#.#...#.####.##.####.###.#..###..###..###..#.##....#....###......#####..#.#.#.######.#..##.###.###.
###.#.#.....###.#....##..#..####.###.##..#...#.##....#..#######.#.##....#..#....#.##....##...#..######.....#.#...#####....###...###...##..##.#...#....#.#.####.####.....#.....#.#.#.....#......##..#...#####..###.#......#...##..#.#.#..#.##..####..#.###...##..#.###.#..##...#.##.##.#.....#.....#..####.##...#.#.####.####..##..#.###..#..####.######...###.######.##.#.#.##..##.##.##.##.#..#.#.##..#.....#.###.#.#.####.##.##.####...#..###...##.##.##....#.#.....###.#....####.#...#.....#.#..##..##.#...#.####.#.#######.###.##.#.#..##.#.#.##.#######..##..#.######...#.#......###.#.....#.#...###...##...#....#.##.####..#..##...##..###...#..##.###.###.###..#...##...#..#...###.#.##..##..#...#..#.#..........#.##.##.#.##.#..###...####........#.#...###.#..##.#.#.##...#.#...####..##...####.###.#.###...#######.#.#.#.##.#######....#..#####...##.#####....##.#..#......######...###.#........#.#.##.#.####.##.#.###..##..##.##.########..#.....#.###.##.#..#.....###..##.#..##.#.##..#.#.##....#..#.####.###.#..##.#####.#.#..###.##.#.##.###.####.##.##..##..###.#...##.#.####.#.#....###...#######.##.#.#....#..#....###..#.#######...##.#.###..#.####.#.##..######...##.###.#......###.######.#.#..##.##.#.#..#..#..##.###.#..#####...#.#.....#.##.#.....###....###.#......##.##.##.#.#....#...#.###.#.#####.#.#.#.#.#.#...###.###...##....#...#.###..##..##.##.#.###..####...###..####..#.##.###..##...#.#.##.#.#...#..#.#..##..##...###....###...#....#.##.###...##....##..#####.#.###......#.#..##..##.##.##..#...#.###.#.#.#.##..###....#..####..#..####.#..#.###..#####.#.##..###.##.#.####.###......#.###.#..###..##..###...###...#.#.#..##.#...#.....#.##.##.##...######..########..#.#...##...#...#..#.#.#.##.##..###.##..#.##.#.#..#.####.##..###..#....#..######.###..##.#.##..##.#....##..#....##....#...###...###.#....#.#.#.#.#.....###...#.#.#####.#..##.##.###..#.#.#.###.##..#.####.#....#..#..##.....#######.##...#.......#....#.##.###..###..........#######........##...#...##..##.#.###....##...##..#..##..#...#......##.##.##..##..##...#.
####..##..##..#.#..#..#.#.###.#.#....##...##.....#.#.#.##...#.##....###..#.###....##..#.####.#.########.#......#.###.##.##..###.#..##....#####.####.#..##...#...#.#..#.#.#.....####........#...#.#..#.....####......#..#..#..#..##......#..###..#.##..#.###.#..##.#.##...###.#....#.#..#..###..##.######.....###.#.#...#.#.####.#.....##.##.#..#.####.....##......##.##.####...#..##.##....#.#.........#.....##.#...##..#.#.###.####.##.#.##...#.##.##..#.#.#..##.#....#....##...#.####.###.###.#.##..##.......#.#...#.#.#.#.##..#..#.###....####.#..#.#.#..######..#.#.#.##.##..#.#...###..###..#..#..##.#.#......#.##.#.##.###..###.....##.##....#.#..###.#..###...#.##...###.##..###.#.###....######..##......#...#.#.##.#.#.#.#.#.##.####.##....#...####.###.####..#..###.#...######.##.#..##.#...##..###.###.#.##..#...####..#..##.#.####..#...##.#.#...#.#.#.....##.##..######.....#.###.##.#..###.##...#...###.#....#.##.#.#......#..#.##..#.#.##.#.#.#.#..###.##...#...###.###..#.#.#.#..##.#..##########..##..######.###.#.#####..#.#.###.##.#..##.##....##.....###.#..#....##.#.....#.##.##..#....##.###..####.#..###....#...#.###.#.#....##..######.##.###.#####.#.#...##.###.#..#.####.#.##...#.##...###.##.#.#.....#..#..##..#.....##..#..####.##..#.#.###.#.##...##.....#..#.##.....###.#..#.##...#####..###...##....#.#####..###.#####...#..#......#.##.#.##.##.#..#####..#.....#..######..#..#.#.##.#.###..##.#.###.###..##.#.#...#..###...##.####.#.#.##..##.####.#.#...#.#...####...#.......####.##....##.......#..########.##.####.#######......#.##....#......##.###..#.#....##..#.#..#.##.#.##.#.##.##.###..#.#.....#.#...#...###..###..#.#...####.#.#.......##...#####......###.#.##.....#...#.###.##....#.....####.####.##..#.###..#####..#....#...##.....###...##.....##.######.#.#...###.##.###.#..##..#..##....#.########.#.#.#..#.##...#....##..##.###....#............#..##.#.#.##....#.#..##.##..#..##..#..#.##..#...###.#.#..#####...#####...##...##....#..#.#.#....#..#.#.#.##.#.#.###....##....#..#.#.#..........#..#.#.#.##.###.#......####...#
.##...##..#.#.....#.#.#####.##...#.#.##......###....#...#..##...###.##.##.###.#..#...#.#...#.######...#.#..##.#.#.#.#.#.###.####.###...#.###.###.#######.####.#..####...#...###.#.#.###.#...#.##..####..#.####.....##.#####.##...###.##.#.#...##.##.#..#.#.#..#.####....#.#.#.#..#.####...#..#######.##......#.#.##.##..##..#.......#..###..#.##.####.#.##..#.####..####...##.######.#..#.####...###.##......#..##.#........##..#...##..#.####..#######..#######....#...##.###..#...##.#...#...#..###..##..#...###...##...#####.#...####....###.#####..#..##..##.....##..#.#...##.#.#..##.#..#....#.#..#####.#..#####.####.###.##.#.#...##..###.#..##.###..#.........########.#####.......#.##.#.###.....##..######.##.#.###.#.###..###.###..######.##.#...#..####...##...#.#####.#..#.###.....#...#######..######...#....#...#...#.###.###..##.##.....##.#...#.#.#.#.##..#.##..#..##..##.#.#.####...##.......##.#.#...#.###.....##..#.#...#...##.##..#...####.#.##.#......#...#..##..###.####.###.....##.#####.##..###...#..##...#.##.##..#..##..#...#..##..#..#.##.##.####..#.#...#.######..##...#..#.##....#..#..###..######..#...##...#.##.##..#.##.....###.#.#...#...##..#..###.##...#######..#....##.###.#..#.#..#.####.######..##..####.##...#.####.#######.###.##.#..#.#..##.#.#.##....#.#.##..##...#.###..###.#.####..#..#.#####.###..###.#.#####.#..#...##...##.#.##.....#.##.#.#...#..##.##..##.##.###.#...##.#..##.#.#..#.######......#.#....##...#..###.##.###.###..#....#...###.#.#.##.##.##.#..######..#.########.###..##...##.#.#####...#..#...##.##...########.##.#.#.#.#.##.##.##....##.#..#.##.#.#####....##.#.......#..#.##..#.##.###.###.##.....#.#.###.####.##.##....#.##...###..#.###.###..##..##.##.##.#..##...##.###.####.####.#..#####.###..###...###.###....##.####.#.#..#.#...#.......##.#..###.###...#...#.##.......#######...#.##..###..#..####.#..##.#.#.##.###.##.##.####.###.###.###..##....##.#.####..#...#.#..#####..#.#..#....#..####.####...##....#####.#...#..#.####..#.#.#..###..######.##.#..#####..#.#....#..###.#...##.##...#..###.#.#
#...###.#.....###....##.#.##.#..#....#######..#.#..####.##...#..###.#.###..###...#.###.###...##.#.#.#.#.####.#....###...###..#.###..#..#..#.##.#####...#..#..##....#..#..#.####...####.#.##.##...##.###.####.#.##.##.#.#.##.##..#####.###.###.##..#.###.##.##...#.#...#.....#.####...###.....####..##.#..#..#.##.###.###..#.#...#.##...##.#....#...##.##..###.######.#####..#.###..##..##...##..###.##.#..#..#...##..##.#.#.#...#.#...###..#...##...###..#.#.#...#.##..##..##...#.###..###...........#.#.##.#.##..#.#......###.#####.#..######.###.#...###...###.#...###..#.####.#.##.....#.#..#.#...##.......#.#..#..#.###..##..##.#.##.##.#.###.#......##...#..#........#..###.#..#.##.#.#..#####.##.#.##..###..########.#.#.......##....##...##.##.###...#####....#......########..#####.#.########.#...##.#.#####.#..##.##..#....#####..####..#.##...###.#..##.##.#.#.###.#.#.#..#.####.#.##..##.#.......#....##...#..##.#.#..####.##.#.###..#.#..##.###.####..#.#......#.#..#.#.######......##.##..#..########..#.##.##.#..#######.#...##...#..#.###..##...###..#.###.##...#.##..#######..####.....##.###.#.#.##...#....###.#.#..#...#.......#....#.####...###..#.#.#.#.####.####......#.#..##.#..#.#.#.##.##..#..###.####....#...###.#.#.#.#....#...#.#..#...#....#..#...######..###.#.##.#.#####...####..#.#.#..#..#...#..######..........###.#.#...#..#....##....##.#....#.......##...#....#.#.###.###.....#..#.##.#####.###..#.#.......#.#...##...##..#..#####..###.#.#####..###.###.##..#.###..###...#...#.##..###..#.#.#...........#..#.#.#..####..#...#.##..##.####.##..#..##..##..##...##.##...###.##.##.#.....##.#####.#.....###.#.#..#.#..#....##.#...####.####.#.##......#.#.#...#.##.#..#..##.#.#..#.#.###.#..#.###..#.............#......##.###...##.##...####.####.#.####.###..#..#.....###.#...##...##.#..####.#.###...###.....##.#.#####.###....###.#.#.##.##..##...#...#.#########.#.#.##.##..##..#....###....#...#..#.##..#..#..########.#..#..#.######....#.##..##.##.#####.##..#...#...###.#..####...#...###.##...###.#########....##.#....####.....###
.###..###.....###...#######..####.#.#.#..###.#.##..##..#..#.....#.##...###...######.#...##.#..#...#...###....#.#.#...#.#.#.#.#..#.#.##.##.#.#..####.#.###..#..##.#..###.##.#.......##...##.##.####.##...#.##.##..#..##..#..##...#...##.####..#.#..#.#.###.##..#.##.#........#.....#.##.#..#...##...####.#.#.#.#..#...##.####...#..#..#.#.#.#..#.######..##...#.#..###.#..#.#..#..#..#.##.###..#.##.....#....#.##.....#.####...#.####...###.#.#.#..#####..#.#.######.######..###.####.#......#.#.###..###....##.######..#.#.##..#..##.#...#.#.#..#.....#.....#..#...#.....##.#.#..##.......#....#....##..#.##.##.####....#.#.####.###......##########.##.####.####.#.#..##.#..#...#.###..#...#.##.....##........#.##.....#.#.###..#.#..###.####..#.#.#.#...#..##.##..#...#..######.#.#.#.#..###.#..###.###....##.#...#...#.##.#####.##.....##...#.#######.###..#..###.##.#..##..#.#.#..##...#...##...#.#.###...#.#.#...##......###.#.#.##.#.##.##.#####.#...#....##...##.#.##..#.#.......#.###.##.#...#########..#..#..#...##....###.##...##....#.#..####...#..##.###.###.......###...#.####..#.#.##.....###.#...###...#..###.#..#...#.#.###.#..#..###.#.#.###.#..#.###.#.#....###.###.####.#.##.#...#####..#.#.#..#..#...#....#####.#..###.....###..###.##.##...######..##...#.#..#####..###.#...#...#...#..#.#.##.#.##....#.####...#.#.###...####.##.#.###.#.....##.##.#.##...##.#.#.#.#.####.###.#.#..#####.#.###..#..#..##.##...###.......#..##.#..###...#.#..#.#####.#..##..###.##.#...#.##.##.#..#.#.###......#.#.#.#.#.####..####....#.##.##.######.#.....#..##..#..#.#.###...#.#...##..#...####.#.#.###...##.##.###.#.###.#...###.##..#.##....#..#.#..###.#.#..##..###...#...#.#.#.#.#.#.#.#......######..#..#.#.#....#..#....#####..#.#.#.....###.##.###.##.####.###..#..#........##.....##...#.......##..###.####...###.###.#.#..#..###...#.#..####...#....#.###..#.##...#...#..##....###.########.#.#.....##.#.##..##..###....#...#....#..#...#..##.#.###..#.#......#...#.#.##.##...#.....###...##....##....##.##.....###.#...#####..##.#..#.#......#..###.##......#..
.##.#...###....#......##..##...##.....##.#####.....#.####..#...##.#..###....#.#.#....#.###.#..##...##...#..#..#..###...#.#.#####..#..##.......#..#...####.#.#####..####.##.##...###.#.###.##.#..##.#.##.....####.##..##.#.####....#.#.########...#.#.#.##..#######...#.##.#..##..#..#.###..#.#.##...#....##..##....##.#.#......#..##.#######.#..#.#####.#####..#.##.##.##.#.###..#..#...##...#....####..##.....#.#.#.##.#.#..#####.....#.##....#.#.######.#.##..#####.#..#..#....#.############.####.#...###.#.#.#.#####.####.###..#.##...#..####.....#######.#.#.#...#.###.#..#..##...##...#.#.#...########..#.#.##.#..###..##.....#.#...#.#..###.#.#..##.######....#..###..#.##..#..######...###..#.####.##.#..##.##..###.#...#..#....######.#..##.##...###.##..#.##....#.#####.#......###...##.#..##.#.##.....#..##..#.###..##.####..##.#...#.##.###..#..#..#..##..#.#....#.#..###..#.##.#.#..###..####.###.#....###.#.##.#..##.#..#.#.#..###.###.#.#..#..#..##.#..#.#.#........#.###......##.#.#.#.#.####..###..###....#.#.##..########.#....#...#..##..#.######..#.#.#.#...##..#..#.#...###.#....#..##...#..#.##..##...#...##..#.##.#.....#..##...###.##.##.#.#.#.##....#####..#....##.##..#.###.#..#...####..#####.#.#....##...#...#..###.#.#.#.#...#.#......##.##...#.##........###....##..#.#.###..###.##.###.....#.#..#..##.#.##..#..#.#..###....####..##....#.#.#####..#...#..#..##.##.#.###.....####....#.###....##....#.#..##..#....###..##.#..#.##..##.###.#...##...##.######.##..##.#...###.###...#....######...##...#..#...##...#.##..###.#.......##..######.#########...#......###..#.#.##.#....#..##.#.#..#.#.#..####.###...#.#.#.###..#..#####.#.....#..###..####.#.####.#####...#..##...###.####..#.#.#.....##..##.....#.###.....##.#.##....#.##.#.#.####....###.#....###.##..#.##.#####.###......##.##....##.###....##.###.#.####.###...#####.###..#####...#.##.###......##..##..#..#.#.##...####...##...###.###..#..####..##.#####.#.###..##.##..#.##.#....#.##..##.#..#.###.##..#......###...##.#...#....##..####.##.#####....#..##.##.#....#####.##.#####
.###..#.#.####.#..##..#....########.#...#.####..#..##...#.#......#..#......#.###.....#.#.#....##.#..#..#.####..#..#.#.##.....##.###.#..###.#...#..#.##.#.####..##.....#...##..#..#####...###.###.####.#.#.##.#.###..##..#..#####....####..###.#..##...###....#..##...#....#..#.##..#.##.##.#.#..#####.#...###..#..###...##.#.###.#.#.#...#..#....#....##..##.###..#...###....#.#.#.#.##..#.####...#.#.#.#.#..##..##...#....##.#...##.#..#.#.#.#.......#.#.....#....##.#....#..#.####.##...#......##....#..####..##.#..##.#.##..#.###.##..#.#.#.##.##.##.#.#.#.#....#.##..#.#...######.#.#.#.#.###.###.###.#..#....###.#.##...##..##.##..#...###.##.##.#.#.#...####.##..#........####...#..#.###..#.##....###.#....#.#..#..#..#..#.###.#.#####.##.##....#..##..##.#...#..######..####.#.###.####.#.###.#.#.#.....##..####.....#.##......#.#..##.##.#####..##.##.##...####.....##.#..##..##.###..#.##.##.#.##.#..#..####.##...##...#.####...........#...#.##..#..###..#..#...##..##..#.#.####.##.####.##.#.###.###....###...###...#.#..##..#.#.#..#.###.##..#..####.#.#.#....##.#.###.#..##.##..#..####.#..##.#.#.###.#...#.###.###..####.##...##.##.....##..#.#.....#....##.....#.#.#.######....#....#.####.#.#.....#..###...#.....#....##.#..########....#...#.##.##.#.#.##..##..#..###.#.####.#..###...#.#.###...#.##..###...##..#.#.#.####.#.#....#.#..##..###.###....#####..##..#..#####..#..##..#.#####..#....#.#.#.####.##.###......#.##...###..#..##.#....#.#..###.#.#..####..#..#.#.##..#.###.#...#.###.####.#.#####....##.#...####.#.####...##..####.##...##.##..##..##..##.#..#.##.....####..#..####.#..#.#...#....#.#.#..#.##.#.##...####...##.##.##.#.#..####...#.##.##.#.....##.#.#..###.#..##.##.##...###.###...#.##.#...#####.##...#..#....##.#####..#....#.#.#.##.#..#.#####....#.#.##..#...##...##.#.#.##.#..#..##.######..##.#.#.#.#.#..#.##.#.####..#..##..##...#...##..#.##..#..#.##.######.##.#.#.###..####.##.#.###.#.#.####..##...#######....#.##.#.#..##.#.#.#####.#.....##.#..#....#..#####.#..##.#.###.##..##...#.##...#...##.#.#####.#.#..#...#..#.#..
.....#.###.###....#...#...###.#.#..#..##.#.#.##.#.##...##..#####.###.##...######.#.#.###.......#..#.#####.###...#...#...######.#..######.#.#####.##...#.##..............#.##.#.##..#.###.#.#.####..##.###..#...##..#.#..######..##.....####...####...#....#..#...#..#####..#.##...#......#.######.#...###...#.#..#.####....#..#....#.#.#.#..####..###...#.#..###..##.###...##.#..###.#.#.###.#..#..##.##.##.#.#..#.###..###..##..##....#.#.##.#.#####...###.###.###....##..##.#...###..####..#.##....#......##.#..#.###.######..#....#.####.#..#.#...#.#..#.###...#....#...#..#.##..###.#.##....##..##.#####.#..###..#..####.#.#.###..#.####...####..#...#..###..###..##.#........#######..#.#.#...#.#.##....#...#.#.###..##..########.#.####....########.########.#.##.##.#.....#..#####...#..##.#.###..####....#.....##....#.###...##...##.#...##.#.#.#.###.#...#..##.##..##.#.##.#....##...##.#.##.##.....##.#...########.###...#.####.....#..###.####.##..####.#...###..#...#....###.#.##....#.##...#####.##.#.##...#..###..#.####..#.....###........#.####...##....#####..###...#.############..#.##.#....##.##.####.......#...########.#.###.#.##....#..#####...###.......###.###..#...#.#..####.#...###.####...#.#..#...#.#.#..##.#.#..#..##.#.#...#....#.#######.#..#..###........##...##..##.##..####.#.#.##..#.##..#..###...#######...#...#..#...#.#..#########.#.#.#..#.#..##.########.###..##....#..###.######..####..#.###...#...#..#...#...#.###.##..##..#....#.....#.#.#.##...#####......###.###...#...###..##..########...#..##...#.##...##.#..#.#.###....##.##.#.#.#...##.###.#.#.#.#.###..#.##.#.#.....#..#...###...##..##..#.#..#...#.##......###.######.#.#.##...###.#.#.##.##...#.#....#..#..####.##...##.##....#..###...###...##.#.#.....#####..#..#..#######.....#####.#.##..#.##.#..##.....##...#....#..###..#..##.#..#......#.#..##..#####.#.#...#....#..###..####.###.....#....####.##.....#####.##.....##...........#.#.#...###.....#...#.#.#..##.###.##....#####..#..#.#.#.#..#.##..##..##.##..#.....#..##.#.#.#...#.#..#..##..#...###.##....#..##.#
#.##.##.#########...#..##..#.##..###....#...#...#..##.####.##...#.##.....#..#.#.###............#####..#..#.#...#....#...##.#.#.#.##.#...#.#.##.....####.####......##....#..##..###.#.##.....#.#...#...#....##.####..#.###...#.##.####.###....##.#.#....###.#...#.....###.....#.##.####.#.#...#....##..#.####...#...#######.##..#..#....#.#.#.###.#...##.##..#.#.....#.#.###..###..###....#.##...#..#..##.....##.##.#..#..#.#....#...#.##...###.#....#....##.####..#..#.#.##.#..##...#.#.#.#..##...##...#.#.#.###.##.#.#.....#...###.#......###..##.#####.##..###...#.#............##.#..#.#..#####.###.#..###...#..#.....####.#....##..#.##.###.#...#.###...##..##....#..#.#.###.......###.##..##.###.##.#..........##.##.#...##..#.##..##..#........#...#.###.#.##..###..##.#.###........#####.#.##....#.#.###.######.#####.##.#.#.##...#..##.###.#.#.#.#.#....##.#....#.#..###...#.#####.#.#####....#..###.#....#..#..####.###..#####.##....##..##.##.#..#..#..#.##..#.##.##..#......##...#.#######.##..#.#...#.#.#.#...#.#######...#.#.#####..####..##.##...###.#.....###.#..##..###.#.##...####.#####.##....##..##.##.###.#.##....##.##..##.####..#####.#...#.......##...#...#...##.##.#..####.##..##..#.##.#.#.##..##.##.#...#..#.##..##.###....#....##..##.#..#..#.###.#.##..#.#.#...#..#...#..###.####.#.##.#.#########..###...#..##..#.##....#.##.#.#.#....##.#####...#.###.#..##..##......#......#####.#..#..#####..#..##..#....##...#..#####.#.#..##..##.#.#.#..#####...###....#.#####.##.#.##.....#...##...##..#.#..#...##..#.####....##..###...#...###.#.#..#.....#.##...##.#....#.####.####...##...###.#.#....#..###....###....##..#.....##...##.##....###.##.....#..####.###.#..###.#..#......###..##.#.....#..####.#....#...#.#.#.##.#.##.#..####.....#.########..###....###.#.#.##.##.#####..#####..#.#.#.###.....#...#..####..#...###.#.#.###.....#.#..#.#...####.#....##.#.#.###.#.##.##.#..#.####.###......#.#.##.##.####......##...###..#..##.##...####...#####..##.##..#.##.#.#.#.#.#.###.#.###..######..##...#.#.######.##..########.###...###..######....
.###....#.##.#####.###...##.#######.#..#####....##...####.#..#...#.###.#...#.##.##...#..###.#####.##..###..#..#.........#.#..#.##.##.##...#..#####.#.###..#.#...#..#....#...##.##.#.##.#...#..##..#.....#.#.#.#..#...#.##...###.....#...#.##....####....##.####...###...##..###...#.########.##..#.##.#####......#.##..#...##.#.####.#.#.#####..#...#####.##...#.#..##.##...#..#.#.#.....##.#.#####.#..#..###...##..###.#....#.#..#.#..###.###.#...#.#..#.....##.###.####..#####.##...###...##...#..#..#...###.#.#.##......#.#..##..##..#..#..#...####..####.#.#...##..#.#.###...##.....#.#..##.#.#.#.#..#####....##.##...#..#..#.#..###.#..#####.#####..#..#.#.##..##.#.#...#.#..#..##...#..#.#.#....#..#####...#.#.#..##.##.#...#.###......#.###..#####.#.........#.#.......#........##..#......#.##.###.##...#..#.#....###.##..###.#.###..#.#.####...##.#.####.##..##..###.#..#.#...###.#..###.#.########.#..#..######...####..####..######.##....#.##..####..##...#.##.#.#####..#...######...#.....##..#....#.##...#....##.##.##.#.##.#.#.###........#.####..###..##......#.#.####.#.........##....#..#.#....##....#..##...##...#.##..#..###.###.##.##.###.#..#...#...#...#..###..###...##...#..##.#.##.....#..#..#.##..#.##.###.#..##.##.###...###.##.#.##....#....##...##.#...#.#..###......####.####.##.####.#.##......#..#.#..###.#.#.#...##.#.#######..##.##...######.#...#..###.#..#.#..##.#..#.....##.#..#.#.##..#.#.#.#.....#...##....#####..#....#.#..#..#....#..#..#.#.###.#####.#.###.#..##.#.#...#.###..###....##.#.##...#.#.###.#.#..#####.....#..#.#.#.......#..#..#....#.#.#..####.###...####.#.######.##.####...##.##.#.###.#.....#.#.#.#.....#....#.#....###..#.#.#.#......###.#.#.###.#.....##..####.#.......###.###.#...#..#.###....#..#..##...#..#..#.#...#..#.#.#.##.....###..#..#.#.###...##...#..#.#.#.##########.#####...#.###...##..##.#...#.####..####....##.####.###..#.#....##..###.##.#....###..##.#..#.######.....#.#.##.##.###..#..#.#####....####..#..#...#..##.##.#.#..###..##..........#.###.##.##...###.....###.#...#.#.######...###.###.
.....#.####..#..###.###..###.#.#..#.#..#.##..#..#.#######..#.#.##.###.##.##..#.#....######.####.#....#.##.....##..#####.#...####.###..##...#.#...######...#.#.#...#.#.###...####.###.#....#..##.#..##..#...#.#...#...#..###..#.####.#..####.#.##.#.#..######.....##...#.#.##.#.#.##.#...#..#..##..##.####..##.##.#..#.#.###.#...###..#.#.#.....#..###..#.###.....#.###..##.#.####.#.##.#.#.#.#....##.###...#...####..##.####.###.#.####...###..##.#...#..###...#..#..##...##..###...#..#######....#..#.#..#.#...####.#.#.##.####.#######.##..##.##.#.#.#.#.##....#######..###..##.#...###.....#........##.##..###.#....##...##...###.#..#...#...#....##...#.##......#.#...#..#.###.#.#..#####.......###.##.####..##.####.###.###....#.......#####..#.##....##.##..##.##.##.#..##..####......#####.##....#.....##.#.##.........###..##.....###.##..##...##..####.#.#.####.#.#######..##.#.###.#..#.#.#..####.####....#..#..###.###..#..#..#.#..#..#..###..#..#.#...###......##..#...###.#..#.....#..#.#.#..###.###.##.###.#.##...#..##.#.##..#..##..##.##...#.##.#...####..#.#..###....######..#.#..#.....#...#......###.##....#..###.....######.#..#...###.##..#....#.#.#.###...##..#.##....###.#...###.###.##.##..###.#.#...#..##.....##.###.#...##.....##.####...#..#.##.###.#....######......##.##.##....##.#....#.#.##..#####.#...#..#.###...####.....###.....##.#.###.#####...####..#####..#.#####..####....##....#..##..#..####....###.#####.#..#...##...#..####....##.#####..##.##..####..#.###...#.#########..#.##.#####...#..#......###.#.##.#..#...#.#..#.#.#####....#.#....#...#..#.#.######...####..####..####.#.######.###.##.#.##..#.##.####..##..####.#.##..#.#..#..##.##....####..#..#...###..#..#..###...#..#.#.##.##......#..##.##..#...#.##.###.....######.###.###.###.##.##...#....#...#..##....#...##.##.###.....#.#....#.#.####....#..#.###..#.##..#..###.#..#....##.##..#.##....#.##.####.#..#.###..##.#.#...#..#.##...##..###...#.....##.......#.##..#.##.#...#..#....#..##..####.#.#.....#.##...##....###.....#...##...##....####.#####...######...#.##
.....#..##.#..##.....#...#.#..##.#.#...#.#.#..#.########...###.##..#.#.#..##.#..#.....##...###.#..#...##........#.#..####..##..#..#..#..#...##..#...#..#..##.#.#.....####.##.##.##.##...##.#.###.#..##..#.##.....####...#..#########..#.#.#.##.#.#..######..###.##.#.###.###..#....#.....##.##.....#.#####..#.###........#.##.###.#.#...#...#...#..#...#.###.#...#..#.##......###.#...#..##.#..#..##.#..##......#..##..###.#.#.#.#.#.#..##.#.#.##.##.#..#..####...###.#.#....##.#..##.##.####..#.....#.......####..#.##...####...#..#.##.####.##.####..##.#..#.#####.#.#...##...#.##..#.##.#...####.#...####.#....#...#..##...#.#..#....####..#.#....###...#.##....#..####.#....##...##.#..##..###....#.###..##..###.##.#...####...##.#..#####...####.###.#...##.#..##.#.#..#.#..#.##..##.##.##.#....#..#.#####..#.##...##.###.#.#.##.##..#.#####..##..##...#..#.#...##.##..##....###.....##..#.#.####.#########.##..######...##...##.#.###.#..#.####....#.#..#.#..##.#..#..#.#.######...#####.#.#.#.###.#..##..####..#..#.#....##..##...####..####....#....#....#...#.#.....#.###.#.##.###.##...#.#.###....#..##.#.#..#....##.###.#.##.##.###..##....####.##...##.####..##...#.#.....#.#.#.###...#.###.#....#.#.#.##.....#.#.#.#.####.###.##..###...#....###.##..####.###.#..#....####.##...#.###.##.#.######..#.##...#......#...###.###..#...#..#.##..##.##...#...#####.###...###.##..###.###.###.....#.#####.##..#.#.........##.#..#...##.####..###..##..##......#.##...##.##...##..###....#..#...#.##.#.#...#.#.#..#...#.#...#.####.#.#.##.##.#..###.####..#.#.###.#.........#.#...#..#.#...#.#......###.#.###.###.##..#..#..#######..##..##.....##.#...###...#.##.##.######.#.#..##.#...###.#.###.#..######.#.....##.....####..#.#.#..##.#.##.....#...######..#..##.##...###..#...##...#######..#.#....##.#.##.##.###.#.#..##..###.#.....##.##.##.######..##.#####..#######..#.#.#......#.###.......#.##..#.#.#.##.####...#.#.###..#..######..#.#.#.#.#.###.###...####..##.##.#.#.##....#.#..##..###.#.#.........##..#..#..##...#.#...####...####.#..###.#.#.#..#.#...#....
.###..#.#####...##.#..#..##...###..#.##.....###.####....###.###.##..#..##..##....#..##.#...##..#.#....######..#.#..##..#.##.##.##.#....##.#.#.#...............####.##.####.#.##....##....###...###.#...#.##.#.###.####...##.##.#####..#.....#..####....#...#....####.##.#..##......#.#...#..####.#.#.#...########...#.#.##..#.#.#.#..#.#...#..###..#.###....###....#.#..#...######.##.#..#.#.#.#......###.##..#.##...#..#...##....###..##.##.#..#....#.#.#.#..#.#.#...##.###.#.#...#.###...###.#....#.#..#.#..##.###...####.#.#.#...#..#..###.#.#...#....##.##..####.##....#####.##.##..##.#..#.##..###.....####.#..#.###...##..#.#.##..#....#.###......#.####...#........#...........###.###########..#.#.##.#....##...#.#.....##.#..#....#####.#####.#.##.....##..###..#.#.#.####..###..##..##...#..##.#.....#.#.##.##..#####.###...#.#...##..###.#..##.###.##..##.......#..##.#.#.#..##.#.###...###..#####.##.##..###.##...##...#####...##.##..##..##.#.##..#....#.#..##.##..####.######.#.#.#####..###.##.##.###.....#.#..#...######.#..##.#...#..##.###..#.#...#......#..#.###.#..####.####.###..#....#.##......#.#...#.###.....#.#.###....#....##.......#...######.##..#..#..#...#...##.#..###.##...##.####.####......#...##.##.#.#.#.#.#..#.##..#..###.....#...##.##.###..#..#.#.##.....#.#.#....##.###.######.####..##..##..#.###.#.#.###.##########.##......#.#....#....#..#...#.##.#.#.##..####..#.##.#####...#....#####.#..#....#..##..#.#####.#.#..#.#...#....#...##...#...####..#.#..##.#.###..#.#......#...#.#..#...########..##..###.#..#.##.###....####...#...#.....#.####..###...####..##..##.##..##.##..##.#.#....########..##..##.##.....#.##....##.#..######..####.##..###..##.#....#..###..#...##.##.#....#.#.#####.....#..##..#.#..#..#..##.##...#####...###.#.#..######.#.#...#..#..##..#...#.###.#...#.#...#.#....####.#.#.#..#...##.#####....#.#####.#.####...##.#...#...##.#...#.##.#..#.#..###...#...###.#..####.###.####..#.##.##.....#....#.#....#.##..#...###..###.##......###.#.#......#..##.#.##.#.#.#..#.##..##.##..##.####.#...#.###.####.#..#
#..####...##...###..#..#.##.#..#.......####.####.#......#....####.##..#.#.####.#.#.###..#.#...#..#.#..###..#.#.##.#.####.#.#.#.#.#...##.##....#.#.....#.######.##.##..#......#.#######.###..#....#####.......##.#..##.#.#.#...##.#.#.###...###...##..##.###.#.#.#.#.#####.##.#.##.###.#.###....##..#....#.#.###.#...#....#.##.#.........##..##....#..##.......#..#.#.###..#.#.....##...##.#...####.##..##.#.#..##......#.##.#..##.#.##.##.#.##.#..#...##..####...#..##....###.##..##.#...#.###.####..#......###..###..##..#....##.....###.#..##...##.#..###..###.##.##.#.#..#..#...#.###..##......#..#####..#..#.###.#.##.###.#.######.#####..##...#.####.###.##.##.####.#.#..##.#.##...#.#.##.##.#..##.#..#.#.###..###....###..#.###..###.##..###....#..#...#..###..##...#####.#....#.#..##.###...##.#.#.##.##..###.#....#.#.###..####..##.###....#.##.##.##.#..##...####.#..###...###.#..#....##...###.....####.#..#..##...#.....##..##..##.....##.#...###.#.#.###.##.###.#..#.#.#..#.#.#.##.#...#...#.#...#####.#.....#.#.###.#..#.#..###..###..###.##.#.#.##...##..###.#.#..##....#.#.##.###.###..#..####....#.##.#.#..#.##.##..#.########.#....#.#..##..#........#.#####.##.#.##.#.####..#.##...##.##.###.###..#..##.#..##..###.#..###..##.##...#.###.##.###.#..##..##..#.##....##..#..#.....#.###.##...#....#.....#########.##.###..##.#.#..###..###.###...####.#.########....#.#.#.####....#...##.##..##....#..#...##.#.#...#..###.....#...##..###.###...##....####....###..##..#..###....##.##...###.#.###.#...##...##.##....###.....#.##.####..#.#.#.#......#..##.##...#.#.#.#.###.......######.......##.###..##.##.#..#.##..#.######...#.###.....#....##...#.#####..#.###..##..##..##.#.####.#.....#.#..#.#..##..#.#....#.##.#####..##.#.######...###.#...#....##..##.#....#.....###.#.#.....##..#..#.#...#..###....####...#.#..###.##..###..#....####.####.###...#..#.###....###.#.##.##..###..###.#.#...#..#..#.##.#.####...##....###.###.#.#...##.....#.#.##.####..########..#.###..##.#..#...##.###....##....#.####.#..##.#.##..#.#...#.......####..##.#..##.#....
..#.#.#..#...#.###.##..#.....#..####.##.#.#...#.#.#.##...#....#..##.#..#.##..###.###....#....#.#.#####..###..####...###.###.##.#.##.#.###.....#.#.#.#.#..##..#....###.###...####...###..#..###.##..#####.....########.#...#.....##...#...####.##.#######..#...#..#.##..#.#.#.####...#..#..#..##.#......####...##..#.#.##.##.....#...##...#.....####.#.#..#.#.#..##..###...#.#..#..#.###.##..###.####..#.#..##.###.....#.####.#.#.##...##.##.##...##.....#....###.##.....####.....#..######...#.#..##....#.#.#......###.#.#...#.#..#...##.####..###.#.##.....##.##.#...#......####.##...###....###....###.#.###..#.###.#######.#.##....#.#...#...##.#.##.#.#.#..#####..##.##..#....#...####.#####..##.#..##..###.###..###..#...###.###.##.#..##.....#..#####..#####.#.#..#.#.#..##.#...#....#..##...##.....#.#..#####.#.##.##...##..###...##..####..#.###...####.#....#.#.##.####...#.######..##.###.#.##.#..#..#....#..##......##.##.#...#.#.#.#...##....####...#######..#####.#.#.....#.#...##.###..#..#####.#.#####...##.#.##..##.#.#....#...#..#.#..###.##.#####.##.####...##....#.##.#..###.#.#..#####..#.######.#..#..##..#...####..#.###.#..#.####...###.##...####..####..##..#.######......#..##..#..##....#.#.####...#....##.##.#.##......##.#.##.#..#..#....##...#......####..#######..#.###..#..####.#.#........#..#..#..#.##....##.#..##...#.#.###..####.#....##.##.#.##..#.##.###.####.....##...#...#..#.##..#.###.#.##.........####....#.#####.##...#.#..######..###.######..##.####...###..#.###.#..##...#.....#...###.######.#......####..#.##.#.##.#.......#.###.....#.#..#.##........#.##.##.#####.....##..#.###.###..#.##.#.#..#..#..##.....#...##..##..##.#..#...###.#...#...#########.#.###.##...####.....#.#.#......#.#.##.#.....#.##...#.###.......#.#.#..##..#.##......#.....#.##..#.#.##...##..#.#...#####.....########..#...#.##..#.#.#.#.........##.###.#....#.......#.##..#.##.#.####.####...##...#.##...##.....##.#.....##.#.#......##..##..##..#.##..#.###..#....#....##.##...#..#.#.....#####...#...#..#.#..#.##....#..###...##..#.##...####.###..
..##..#.###.##...##...........##...#.#.###..#...###...##....##...#....#.#.###.#.##.....##.#.#.#....##.#....##.#.##....#.##.##.#.##.#.#.###.#.#...#..#####...##..#..#.#.##.##.#.#.#....##.##.##.#......###.#.##........##.#.#.#...###..###.###....##....#..###.##..#..######...##.#.####..##...##..##.#..#.#.##.###.#.....####.....###.#.#.###......#.......#####.####..#..###....#.##...#.####..####.#.....#....#.##.....###....#.##.#.#.#.#..#####.##....#..#.##..##.##...#..###.######.#.#.##...#...#.#..#.#..#.##.#.#..##.#....###...#...##..##.###....#.#..#....#...#.#......###..###...##..##..#.#.##.....###...#........###..##.##.#..####.#....#..##.#####..##..###.##....##.#.##.#......#.####..#...##.##..####..#..........##..##..#...###...######...##.#..#.#..###.######..##.#...#..#.#..##.#.#..#.....#....#.##....#....##.#....#.#.#.#..##....#.#.##.##.##.##..#..###.#.###.#..###.#.#.#####...##.#..#.....#..#.##.#####.#.#....#.#.#...#.###...#..##.#.##.###.....##.#............###.##..#....#.##.######...#....##.#.#.##.####...#...##.##.#.#.#.#....##.#..#.###...##.#.#.###.#.###.###.#...##.#.#.#....#.......###.#.#######..###..#...#.#.....#..#...#......###...#..###.#############..##....#..#######.#.##.######.#.####.##..###...#......##.#....##...##..####..###.###.....##.#......##..#..#..#####..#...#.#...#.##..#.###......###...##.####..##.###.###..#..#....##.###.#.#.##....#..#.#.######.#.###.###.#.###.#...#.##..#.##.#.##.##.#.#..####...##....####.####...#.#.#....###...#.....#.#.#.#..#.###.##.#.#.###...#.#.###....#.#.##...#.##.###...###..#..#.##.##.##.##...###.....##.##...#.###...##..#...#..##...##...##.#..#.#.#...#.##.......######....#.###.#.#..##.#.######.##.#.##..##..#..##...#..#.##...#.#..#.#..#.##....#.#..#.##.#.#.###.#..#....#.#..##.....##.....#.#...##.#...#.########.#..#.#..#...#..##.##...###.###...###.....##.#..##.#####..##.#.##....##.#.#..#..###..#..###.#...#..#.#..#.#.##......##..#...###..#...#.#....#....#.#.#..###.#..#.#..#....##.##..#....#.#.###.###..#.#.###..#.#....##..#############.####.#.
#.##..####...##.#.###...##.####...#.##.#....#...###....#..#.#.#....#..###.###.##.#....#.##.#.#...##.##.##..#.#.......#.##...###.....##..#..##.#.#.#..##..#.....#....#.###.#.##.#..###.....#..#.#.#.###.#..##.#.#.#.....#.#.#.#.#..#....#######.##.###.##.#.#.#.#..#..###.......#.#......##.###...#.#.#....#...#....#.....#.#######.##..#.#...##.##.#.#.#####..##.#.#.##....##.#.##.###......#..#..########....#..######.####.##.#..#.#.###.#...#.#.......#.##..#....##.##.#.####...##...###..#....####..##.#..##.#####..#.#.....####.#....##.#.....#.#.#..###.......##...#..#.##..#.#.#.#.#..###..#.#..#.#....#..##.#....#.#.#..#.#..#.#.....##...##..#...#.#.###.##....#.#.###.#..###...######...###..##.#.##...##....####.####..#..####..#.....#.#.#.#....##.####..#.#...######..#.#.....##..####.#.##.#..#####.###.###....##..##..##...#.#.#...#..######.#....#.#.#.###.###.#.......####.#.##...#..##.##...##.###.#.....#...##...####.#...##...####.##.##.#.######..#..#########.#.#..#...##...#..#.#.###..##..#####.##.##..#....#.....#.#....##..##.##.##.#..###..#.#..#.#....#....###.#.##.######.##.#...#..#..#..#######..##.###..#.###..#.......#..#..#..#.#.###.###.#.#.#.#....####.###.#..#.##..##..#.#.#.#.##.#.##..##.#..#..#.#.#.#.......#....##..##.###..#.#..#.......##.###..##.#####....##...#..#...###.#....#.#..##.#.#.#####..#.###.#.#..#..##.#....######.##...##..#...######..#.##.####.##.##...#.##.#.##..#......#..#########..##.#.#.#.#.#..#.#..#.#..#.###..####..#.#....#..#.#..##.#.#.#...#..###..#.##...######..#..#.##...#.####..##...##.#....####.#####.##.###..###.....####.#.###...#####..#....#.#.#...######..#..#..#..#...#.#####.#.#.####...##.#...#..#.#####.#.##..#.###.....#.##...#..#..###..###.##.######.#..####.#.##.#..#.#......####.#..##.#..###.#####.#..######.#.###...#..###..#.#...##.#####....#....#..#.#.###..#.###.#.####.###.###...#...#..#.###.#.#.#....#...#...##.####.###.###..###..#.##.#####..#..##...#...###..#.....##.##.#.###.#.##.#####.#....#####....##.##...##.#.#..#.#...###.#...#...#.###.#..#..#.#.##.##.##.#...#.
#...#.......#...#..##..##..###.......#..#..####.##...#..#...#.....####.###..###....#..#..........#####.#..##..##..#..##.#.#.#.#...#.#...##.#.#...##.#.#..#.#..#....#...##..#...###..#..###.##...#.##..#......#.#.#..##..#...#######....#..##..###....#.##.##..##.#....#..#.#...##...#.#.####...#.#.#......#....#######...#.....###..##...##..#.#.##.........#..##..#.##..##..#...#...##....#..#...#.##.####..#.##.####.###...#.#..#.#...######.#.##...##.#...#.....#....##.#####.###.#.#...#.###..#.##.##.###.#...#...###...#.###.....####...#...#...#..#.##.#..###.####.#.....####.#..#......##..#.#.#.#...#..#.###########...##..#..##..#.#..#.##..##....#..#.##.#....###.###...##..##..######..###..#####...##...#.##.#..#.#.#.....##..###.#.#...#.#.#....#.##...##......####..#...#.#.##........#.##.####.#...#.#..#####.#.#.......#.....#####...#.#.....#.###.##...#######.##.#......###.#.#..#..##.####.#.#..##.##.#..##.#.###.#.##.##...#..####.....##.#.....###....#####..#..#...###....##...##.##....#..#.#.#.#..##.#.##.#.#...##.####.##....#####..##.###.......##.#######.....#.##.....###.##...##.#.#.....####.##..#.##..#.#####.###.#...####....#.#..#.#.....###.#...#...#.#..######.#.#.#.#.#.#......######.#.#..#.#...##...###.....#...#.#.#.#...#.##.#..#####..#..###..#.#####...###..#..####....###..##..#...###..#.####..##....#.#...###...##.#.##.#.##.#..##....#.#...#####..##...####...###..#..#...#.....#.##..#.##.##..##......#..##...#####.#........##..#...#..#.##..#.###.######.####.#..####.#.....###..#..##.#########.#..#.......#..##.#...#.##...##.###.#.#.###.#.#..#....#..#.###..#.#####.#..#....##.#..##..#..###..#.#.##...#.#.#......###.#..#..#.#..##.##.##.#.###.#.##.#.####....#.###.#####.....#..##..#.#.###.####.###.....####.#.....###.#......###.######..##########..####..#######..##....#.#..####.####.#.##....##.###.###.#.#..##.##..#.###..#..###..###..#...#####.#.#.#.#########...#....#.#.##..#.#.#.#..###.##....##.###.#....###...##.#..##...######.##.##..#.#..##..#.##.##...#..#..##......###..##...#..#.#.#.#####.###.####.#
...######...##.###..###......##.#.#......#.#.#..##...#.##..##..#.#...####..##..##.##.###.####.#..######...#...#..##.#.#...###..##..###....#....####.##..##..#..####.#.##.#.#.##...#.####....##.#..#.#...##...#..#...##..##....###.##.#.##.###.###...#.##.#.#.#...####.###....#.#.#.#.....#...##.#.##..#.###.###.#####.##.#...##############...##..#.##.#.###.#.#..#.####..####.#####...##.#.#.###.#.###....#.#..##..#.#.....#.#.#.#.#...##..#...#.##.......#.....#...#..#.###...#.#..#...######....###..#.##...##...##.#..#.##..#..#...####...#####.#.#.###..#.#....#.#.####.#.##..##.......#..##.##.####.#.#....#..####.#.#.....#.###.#.#######....####.#####.......#.#.##.##.#...####.##...####...#####.##..#............#.##......#.#...#.#.#.#.####...###.#.#.##.#####.##.###..##.#....####.##.#..#.#.####...##...##.##..#..###.##.##.##.####.##.#.....##.###..##.#####...#..##.#.##..#.####..###.#..#..##.##...##..#.#.#.##########.#.#.##...#.###..#......#..##..####..##.#..##.##..#.......#.##..##..#.#####...#..#.#.###.########..#...###.###.####.#..##.#....###..#.###...#...#..#..#.#.#.#...#.###..##.....##...#.....###..#.####.##.##..#.#..#.#.###..##.#.#.##..##.###.#..####.##...#..##.....#..#..#.##.##......##.####.#..#....####.####.##...#...#.#....#...###.#..#....#....#..####.##.#.#.#.###.##.###.##.###.##.#.#####.#..#....#.#..#.#...#...#.#.#.##.#.##.###..#.#.##....###..###..##..#..#..###.#..####..#..##.###..#..##.##.####...#........##.#####.#.##.########.##.#.##..#.#.....#..####.##.####.#####..#.#....#.####.###.#.#.###.#......#.###.###.##..####.#.##.###...#.##.###.######.####.#.##.#..#....##..###...#....#######.#....###.#.#####.#..#..###..####..#..#.####..##..#.....#..##.......#..##.##.#..#...#.#..##.###.#####..###.######..##..#....#.###.####..#.....#...####.###..#..##...#######.#####.###.###.##.#...#.#.#..#.#..####.###..#.#.....###.#.#.##..#.#######.#...#..#######.#.##....###.##.####.#####.#..#......####.##.#.#.###...#####...###..#..........#...#.###.#####....####.##...#.###...#####..#.#..#.##.#.##...#.##.##
####...#####.########....###...#.#..###....#..#.#...##.###.#.##....##.#....##..#.###.....##.....##..#..####....##..##.####..###.###.##.##.##...###...##.#####.#.##..###..#.#.#.#.#.....###.#....#.#..#..#######....###.#...###....####.#.#..#.#.#.#.#.##.####..####...#.#.#...#..###..#####.....#..#.#..#....#####.##..###.####..#.###.#.....###.##.###.#.#...#####.#.###.####.#...##.####....##.###.###.#.##..#.##.#..#..##.##.###.##.#..###....#.#.#.#.##.####.#..##..##..#.#.....#..##.#.....#####.#.....#....#..#..#...##.#........#####...#.#.#.#####...##.####..#..####...#......##..#..##.###....#..#...#....#..#.###.#.##.##.#.....#..##..##.#.##..#.####.##....#.##....####...#####...####.##..#..#...####.#.#........#...#...#..###....##.....###.#.##..#####..##....#.#..###..###.#..#.#.##.##.####.....##....##.#.#..##.###....##...##...###..####..#..##..#..#.##.#.#.......#..##...#.#####.#..#..#....###..##.##..###...###........##.##.##.#..##.#......####..#####.#..#.#..#..####..#.###.##.#####..####..##.########..######..##.##.##..####...##......#.#.#..#.##.....###..#.##..#..#..####.##.##.####.#.###..#..#..#..#..#..#####...#.#######.#...#.##.##..##......#.#.#....###..##...###.##..##########.##...##....#..##........#..#.#...##..#####....#.#.#.#.#..#.#######.#.#.#...##..####..#.##......#...#.#..#........#..#...#####..####.##..###.#.###..####...###.#...#...###.......##.######..###...#.####.#..####.....###...#.#....####..#..#..###..####.######.#####.###.##....##..#.###.##.....#.#..#.#...###.##.##...#....##.#.....####.......#.#......#.##......##.###.#.#......##....####.##.##.#....##.##.......###..##..###..##.###.#....#..#....##.#...####.#.##.##.###.#..#.#....#....#.#####.###.#....#....#...#.#...#######.####..#####....####.#......#.##...#.#.#.#########...#.#.#..#..#.#.#.#.####.#..#..#######.###..###..##.#.#..#...#..######.####.....#.###.....#####.#..##.##...##..##.#..#..##.#.#.#.###.#####..##.#.###.#.#.#...##....#..###..#.##....##.....####....#.##.#...##.#..#....###.#..#.#...##....##..#######.##.###..
.#.#.######.###...###.##..#....##...####.##..#...#....#..####.##..#####..####...###.####....#.....##.#.#.#....##.#...##.#..#.#..###...##...#.#.#.####....#...#..#######..#.#..#####....#.####..#...#.....#.##........#.#..#.#.####.#.##..#..##.#..#.#.#..##.#.#...#....#...#.....##.#.#...####.#####.##...##..###..########.#.#####.#.###...##.##.##..#.#..##############.###.....###.###..#...####.###...#.....#..#.#.###.##.##.#.#####..#..###..........#.#.###....#.##.#....##...##...###..#.###.##.#.###......####.##.##.#.##..##.#..##.#.#####....##....#..#...###.##.#.#.####.#...#..##.....##.#.###....#..#.#..#...#...##.###.....##..#.##.#.##..###.#.#####.#..###...##.##...#...##....###....###.#....#.#.#.##..#......##.#.##.#.#....###.#..##..###..#..#.####.##.#.#.#.#........#..#.#.###..#.#.####...#.##.#...#...#..##..##.###..#####...##.#.#...###.#.####...##..#....#.#.#####.##..#.#..##...####....#######....#.##.#.#.#..##.....###.#..#....#..#..#.#......#.###.###....#..#####.##.##.#.#.###...####..#..#####...####....###.....#.#.#.##..#####.###....#..###...#.#....#......##.##.#..##.######...##.#...#####.#...#..#.#..#.##.#.#...#######..#..#..###...###...#.....##.###...#..#.#.#..####.#.##..##..###.####.####.......#...#######.#...#.#..#...#....#.#.#.#.###....#..#.##.##.##..##..##.....##.##.#.##..#.####.##...###.##..##.#####.##.##.#..###..###..#.#..####.##....##..#.####.###..#....#..#.#.##.#..#.###.....###.#.#####.#..#.#..........##..#.###..#..#..########.###.....##..#.#.#....###..#.##..#.##...####...####....###..#.##..#....##........#...#.#....#####.#####.#...####.###...#...#.#..##.#..#....##...#...###.#..#.###.#.#...#...#####.......##.##.#.......#..............#.#.#.........#.#.#####.....#..######.#....##.#.#...##...#.#.#..##...##...##.###.##.#######.#..#..#..#....#.##..#.######.###.#.#.#.....#.###.#.##..##..###.#.#...##..######..#.###..#...###.##..#.#..#..##...#.....###..##..#.###.....####......#.#.####.#.#.#..#.#####..#...#.###..##..#####....##...##..####.....##...#.###.##.#####..####.#..##.##
..#####...#.......##.#...#...##...##.#....#.###.....######..###.#.###.#..#...###..#.##.#.#.#..######..#..###.###.#.###..##.#####......##..#.#.#....#.##.#.#.###..#.###..#.##...##......####..###.#.#####.#...####..#####..#.....#..#######.##..#.###.#####....##.#.##.#.#........###...#.####.#..###...##..####.#####..##....####...##...###.#...#.###.#..#.##.##......#.#.##.####..#.##...#..#...##.####..#..#..##.##.###.#...#.#.##..##.##..#.#.##.##..#.##..######.#.##..#.##..##..##..#..#.....###.#..##..#...#.#..##..#.####.#..##...#..#####.#####..#####...##.#...####.#.###..#.....#...#.##..#..##.#.....##..#.#..###.#..##...#.##.#.......####..####....##..##.#.#####...#.#.#####.#####.##..#...#.##...#...######.##....##.##..###.###.....#..##..#..#..##.#..#.#.#......####.#...#....#.#.#..###.##.##....#.#######...###..#.#..##.#.#.....#.#.#.#####.########..#..###....##.#..##...#..#.#...#...####.##.####..####..#######.##..#.#.###..####.#.##.#.#..##.#####.###..#.########.###..#..#.#.#...###.#.#######..####..#..#..#.......##.....##.#.#...##...#...###..##.#..##....#......#.....##.#.....##......#..###.......#.##..###..###.#.#.#####...#..##.#.##.##.#.......##.#.###..##....###.###.##.##...###.#..#####..######.#..##..##..#####.####.##.##.##########.....###.######.#.#.....####.##.##.#.#.####...######.#....###..##.##...#.##..###.##.###.#.####..#####..#..####.#....######.#.#..#...#.#..#.#########.##.##..#..##.....###...##.###.#...###.##.#.##.#####.....####...#..##..##.#####.....#..#.#.##.#.#.######...##..#.#.##...#..#.##....#####.##.##..#.....##.#.#....####..##.#.#.####.##.##...#.####..###....####.#.##...#.##.....###..#..######..#.##.........#..##....#..#...#.......#####..#...#...#...##...#....########.##..###.#..###..##.######.#.#..#.....####..#..##..#..######..##..##.###..##....##.#####.##..#.....##..#...#.#.##.###.#...##.#####..#..#.....#.#.#.###..#.#..###.......######.#.....#..###.#..#....##.#..##...##.##...######.#.......#.#..##....###...##.#.##.#...####.#....#.....#.#.###...##.........#..#.#.##.
.##.#####..###..#######..#####..##..#.###.####.....##.####......#..#.##..#.##...####.##.......##..#.#########.##..###..#.#......##.#.#..###...##.#......#.#...#.#............#.#..#..#...###.##.##..#..#.#..#.#.#.#...##..###.#.####.#..##.##.##.####......#....##..#....#.##....##.##..#.##.##..#...#.#.#.###....#..#..#####.....#.##.##...##.#...####..#.##.###..###..####.#.###..###.#.#..#.##.##...#...#.#...#...#.######..#.#.#.#.###..##..#..##..#.#..##.#..##.#.#.#.####.#.#...#.######....##.#.#...##...###...##.#..#.#.#.#...#..##.##.###.#...#.##.#.#.###.###.#..#...##...#.####.#..###.##.#..##.####.#.#...#..##.#..##.......###.#.##..##...#.#.#.#.#...#####...#.##..##.###.#.#.#..###..###...#.####..#####.###...#.##...#...#..#.#..##..#.##...##..#..###...#.##..#.##.#.....#...#.##..#..#.##.#.##..##.##...###.#..#..#..##..#.##.##.#....#.#.###....#.#.##.#.#..####...#######....##.##....##.#.#.....#.####..#.#####...######.#......#...########.....##...####.#.#.##...#..#.#.###.####.#..####...####.#..#..##.##.#..#..###.##...#...#..###...#..####.###....#.#.##.#.#...##...#.##.#.....#..##..#.##...#.##.#..####..###.#.#.#...#..#.#...#..#####..#.##.##.#.#...######..##.#.##.....#..#.#....#.###.#..######.####.#.##.#.#.#...#.##.....##....#..#.######.##.###.###...#.###.##.#.#.####.##.##.#.##..#.........###.#..#..#########.##.#####..##..#.....#.###...#...#.#.#.##.#.##.#..#.#.#.#.##.#.#.####.##....#......#.#..#...##..####..#...#..#...#....#.....###.#####.#..#.#.#.##.#.#######.#..#.###.......##....#.#...##..#...#####.###......###.#..#.#..###.#..#.#.##.###.#.###..#..#..####.#.....#..##.###.##.#.###..##.#....#..#.###.#.#.###...##.##.#......#...#########...#..#.#......#.##.##...#.#..#.###.##.#####.#...#....##......##..#....#####.##..###.##...#.#.#......#..##...####..#..##......######.#....#..##.######.####.......#.#..##.#####....#.###..#.#..#.##...##.#.##.#.#.####.###.#...#...#......#.#...##..##....##....#..#..####.################..###....#....#.#...##.#.###.#..##......#.#.##.##...###.###..##....#.#.#.##.#...
#.#...#...#..#.#.#..#.......#...##..##.#.###.##...##.#.#...###..##...##.#########.###.##.#######.##.####.....#.#.....#.#..#....#.#####..#.######.....#...#...####.#.#..###..#.##.##...###....#.#.#.#####.....###.#...##..#.#..##.##...#..#.#####....##.#.#...#.#..........#...#.#...#..#.#.#.#####....##.###.....##.##.#..#.#####..######......#.###.#..###.#.....#.##...#.#.#.#...#####.#.###.#..#..#...#..##...#.#.####.....##....#..###.##.##..#.##.##.###.##.#.#.##...#.##.####..##...###...##..#.#..##..##.#.#######.#...#.#.#.#..##..#..##...##.#.#....#..##..#...#.###.#..######.###.#..#.###..###.##.##..#.##.#.#..#...##.#.....##....#..#...##.###.##.#.#..##..###......###...########.##...........#....#########..###...#.##...###..#######.#####..##.#....####...##..###..####..##.##.#######...#.#.....##..#######..##....####..#.#....#..###.#.####.#.#.#..###.#.##.#.....##.##.##..##...###.##.##.####....##..######..#..##...##..##..##......#..##.....#.#.###...#####.###..###.##..#.#...####..##..#.##......#.#...#.##..##.#####.#.#..#.....#..###.#...###.##...###.####...#..#.##.###....#.#.###.#.##.#.###..#..##.####.###...#..####..##.#..#..#....#.##...#.#.##.#.#...####..######..##....#..##.#####.#....######.#.#.#.#.#.#####.##..#.###..#..#...###.##..#..####.#.##.#..##.##.###..#....#.#.#...#.##.#.....#..#..#############...#..#.#.##.##.##.#..#.#.##.#.....####..#####.#.###...###.####..#.....#..#.##.#...##.#...#..##..#..#.##..##.......#.#.###.###.##..##.##..#.##...#....#..#.###.#.#.#.......#.#.###.##...#..####.#.#.#.#.#.####.###.#.#....##..#..####.##.#..####...###...#.##.##.#.##.##.#..###.#..##.##....##.####...##.##..#..#.#####..#.##.##...#..#..###.#.##...##.##.....#.#..#...####.#.#...###.##...#..#.#...##.##....##....#..#.#####...#...#..###..#..##..#.#.###...#.####.#..##..###..####.#.#..#...#.####.#..#..#.####....#.#..#...####.#..######..##..###..###.##.##..#######..#.###.#.##.##...##..##.##.###....##.##.##..#...#.#..#........#.##..##.###.###..###.#..#.##...#...##..#.##.###......#.#.#.####.##.####.....###
##.#.###.##........#.##..##.###.##.##.#.#.##.#########.#.....#####...##..#..#.##..##.#.####..###..#..#..##.###..#.......###.##.#.#.#....#..##.#...#.#.##.......#.##.##..##..####.####.#....#.#.#...#..##.###..#.........#.######..#.#.#..#######..##.#.#..#...##.....##.#..###...##....#..#.####....##.#..##..##.#..#.##..##.##.#...#..####..#.#.#.#.....#...#.##.....#...#...#.#...#.##.#........#..##.#.#...##.#...#....#.##.####.###.#.##.#.##.......#.######.#..#.#....#..#.#.....#..##.#.##...##.#...#.###...#.#.#..#...#.#.....#.##.....##..##..#.#..#...#...#....#..#.##..####.##.....#######....#...#...##.##.#..#..#..####..###.##.#.#.##.#...##.#.##.#.#.##.#...#.####.#.##.#.##..#.#.#.#.##...#.......#..#.#.#.#.##.#.####..###..###.#.#.#..###..#.#..#.###..#..#..####.#.#.#.#.##..####.#####......#.#####.#...##..####.###.#.#..#.#...#.....####....##..#...####..#...##.##..#.#.##.#...#...#....#..##.#.#.##.#.#.#.###.#.#.#####...###.###..#####..#.#...#.##.###.#.####..#...#####.##..#....####...#.##..####..#.##.#..#..#.....######..###.#.##..#.###..##...####...#....#.#.#....#..##..#.#.#....#....#.......#.#.#######..####.#..#.###........##...##.#...#.#.##.#....#..##.#..###.#...#.....##...##..#..#..###..#.#.#...#..#.##.#.###.####....#..#.###..#....#.#...#.#.#..#.###.##.#....#.#.##..#.#.#.....#.####.......##.##.#.##.###.##.#.#.##.##..#.###..##.###...#...##.#.##..#.###.##...####.##.#..##.#...##.##.#....###.#..##...##.##.#.#..#.##.....#.#...#.###.#..##...#.#..##.#.###..#.#....##.###....##....#########...#......#..#.#.#..#..###.#......#.....##.##..###..#..#.....#....#..###.#....#####....#.#.#.....#...#.#....#......#.##........#..#..#..#.###.......####..#.#.#..#.#.##.###.##..#.#.##.##.###.#####.###....#...#.####.....####..#..##.......##...###..#.####..#...##.##.##...#.##.#.#....#..##.#.##############..###.....##.##..####..#######.#.#.##...####..###......#...#.####.#..#.###...#..#.##..#.##.#####..#....###......####.##.###....#.#.#.##.#.#..#.#.#.###.#......#...##.##..#....##..#.......#.##.#..#.##.#.#..####.
....##.#..#.#..###...###.#.#..##.#####........#####.#####....####.#####.##....##.##...###....##.....####.#.#..##.###...#..#...##.#...###...#.#.####.#.....#.#.##..##...#.##.###..#.#.#.#..####...###..###.#####...#.#.#.#.#...##.##.###.##.#...##.#.#.####..#.#..##..##.#####.#.#.#.##.#####..####..#..##..#.####..####.#....###..##.####..#.##########.##......##..#..####..##.##.####.....###.#.....#.###.##...#.##....##...#.##.#.####.#####...#...#.#.###.##.##.#####.......####.##.#..#.##.##...#..#.#.####.#.###.##.#.###.####.#.#..##....#.#.##....###....##.#........#...#.#..#.#.##...##.#.#....###..###..#######..###..#####.#.#....#.#.#...#.#......#..#..###.....##.###.#.#..###..##.#..#.##...##...##.....#..#...#...#.....##.#..##.....#####.#...#.#.#.##...####.##....##.#.....####..###...#..###.##....#...#.....#..##.#....##.##.#.......######.####.##..##....#.#.##......###.#..#..##..##.##.#.###..#....#..######.....###....######...#..#...##...#..##.###...###...#..#.#.#.#####..##.#.#...#.##.###...##.#.####.##...#.##....##.#..#.........#..#.###.##..#.#.#..#..###..#...#....##..#..#..##..#.#.#.##...#...#.##.###...###.##..###.#....#.##.#.##.##..##..#......#..###......###...#.##.####..####.#......##.#..#....###....#..##.###..##..#..##...##.##.#.####.###.#.##.###..#.###.##.###...#..##.#.###.#.###..###...#.#.#....#.####.####..#.#...#.#####..##..#####...###.#.......###.####....#.#.##.##..##.###.##..#...######....##.##..##.#....##...##.#.##.#.#...##....#.#..###...#####..##..#..#...#######...#..###..##..#.#.#..###.#..####.#.###.###..###.#.#.###.#.#####.#####.#..#.#.#...##..####..#..##.#.#.##..##....#...#.##....#.#.###..####.####.##..##.#.....#.#.#.#.#.....##..####...#...#.##.####.##.#..##.#.#.#..#...#....#####..##.#..##.....#....###.#.#..##..#..#...###.#.#...#.....#.##..#...#...####.####.##..####.#.###.#.#.#..####.##.#.......#.##..##.##..####.#..#.##.###.#...#..####.#...#.#.###.....#...##..##..#.##.##.#..##.##...##....##.####.#...#..#..#.#.##.##..#..########...#.##..##..##.#...#.##.#.##...#.###.###.
##.....#.#..###...#...#######.##..####.##.#..#.####.#.#.#.......##.##.####.##..#..##.##.##...##..#..#.##...#...#....####.###.#..##...#.#.....#.....###...#....#..##..##.#.##.###.#..####.#.##.#.#.#.#.###.##...###..#.#..#.#.##.#..#####.#..##.#.#....##..##..#.#.....#.#.#.#.###....##.###..######..#....#.##.##.#..#.##.##.##.#...#...#.#.###.#...#..###.##..#.#.##.#..#..#..##.##..##...##.#..#####.#.#.......#####.#######.####.....#.........#.#.#####....#..#.#...##...#..#..##..##.##..#....#...#..#...##.##.###.####.####.##.#..##...#.#..#.#....#.....##.##.###.#....#.#.##...#..#.#.........###.####..##.##.#...##..#.#..##..#...#....##.....#.......#..#..#...#.....###..#.#....##.#..###.######.#....#...#.#.#.#..#....##########..##.#.##..#####.#..##.##.#.##.##...##...###...#####.....###.##.##.#..####.#####...###...##.##...##.##....#....#.#.#...#...#..#.##...###...##.###..##.#....#####.#.#.#.##.#.#.#.###.#..#.#######..###.#.#..##.#..#.###.#..#...####.###.###.####.##.#.#..#####.#..#.#.#.#.##.#####.#.###...#.#...#....###...#..####.#.###..........##.#####.###.###...#.#..#...###.#...###....#.....###..####....##.###.########.#..#..#.####.##.#.#.#####.####.#..#.##..######...########..##..#...#.#######...#...#....#.#...####..#.##.#.#....##......#####.####..#...#..#.###.#.#..####..#......###.......##.#.##.....#....##.##..####..##.####.#.##.#.##.##..##...#..######...##..##....####.#.#.#..#....#####...#....#..#.##.#####.###.##.#.##.#.#..####.....###.#.#.#...##.....#....#...#.##.......###.....###.#..#..##....#.####.##.#...###...##.#.#.##..#.###..#####....##.#.##....#.#....##..#.##..#..#..##..#.#...#.#..#..##...##.###..#.#...###.###.##.#..#...####......#.##.#.#.#.....##.#.#####.#..#..##..##.#...#...#.#..#...##.#....####.#....#..##.###...#.#..###.###...#.##..#.#..#..#.#.....######.##.....#...##.####.##.##.##.#..##.#####..#.##.#######...........#..###.#.###..##.#..##..###.#.....##..##.....#..#.##..##...##.#.##...#.######..#...##..#.##..#...###...#......##..#.#.#.#.#.#.#..#..#......#..#.#.#.##.#.##.##
.###..##....###.#.#..#######..##..####..###.#.#.###..#........#..###.#.#.#.#.#..###...#.###.#.#.....####.###.#.#.#.....##########.#....#.##.#.#.##..#.###..#.#..#####........#.##..#.##.#..###.#..##.#..###.#.###.#.....#.#..#.##.##.#..###.#.#..###..#....#.#...###..#.#...#.##......####.#....##...#..#####.#...#.###..##.#..#.####..##..##..##.#########......#....###.######.#.#####.##..##.####.##.###..##.###.####.#..###..#.#.#..#..###.#.#####..#.#..#.#.##.#.##...####.#.##.......#....###.....#..##.#.#...#..#..#...#.###...###.##..#.###.##.###..#.##...###...#...##.....##....#.#..###....##.##..#.###.#.#####.##.#.##...#...##...#..#..##..###.##..#....#...#.#..##....#..###..#.##.##.##..#..#..#...#..##.###...#.####..###.....##.......##...#..###.##......##.##..##..#..#.#####.#.#..###..##.#.######.##..##..#...#.##.##....####.##......#....##.#.#.#..####...#.#...#.#.##.####...##......##.##.###.....###.##.##..####.##..#.##....##.###..##..###..#....#..##.#..##.#..####.#.###.###.#..##...#..#..##.#...#.####....###..#.#.#.###.#.#..#.######.#.##.#..##......##.####...#.#..#.#.##.#####..####....######..#.###............##...##.#.#..##...#.#.#...######.##.##...#.#.##..#.##..#.......#..#####.....#.###.##..##.#.##.####...####.#..###.###.#.#..##.....#.#.##..##.#..#..###.#####.###.....#...#..#....#..###.#.##..##.#..#.#.#...#.......#.#..#...##.##...#..##.#....######.#.##.####....##.#.#####.#.###..#######.#...###.#..######.#.......##..#..##..#....#.#.#..#.###.#.##.#.#..##..#.#.#.#.#.########....#.#.#...##......###.#...##.####.#####.#..#.##.##.#####.###.##.##.#...#..#..###.#...#.###..##...#.#.....#.#...##...#.#...##.##..##.#....##..##....#.....##.#..#####..##.#.###.##...#..###..###..#..#.######.#...##.#.#....##.......#.#..#.#..########.#.#.#...##....###.####.##....#..##.#.##..#..#.#.#.####.##..#......######.#...#.#####...#.####.#.###..##.##...#..######..#.##..##.##.......#..#...##.##..###.#.#.....#.##.###..####.#.###########..##..#...####..#..#....##......#...#.###.#..#.#.###...##.###.##.##...##.#..##
#.###..#..#.###.#.#..#.####..#..###...#.#...####.###.###...#.#..#.####.#...#....########...#.##.####.###.##..#.##...##.#.##.#..####.######.####.....##.####..#####...#...###.#...##.##......###..###..#....#.###.#.###.#.##.####.####.#..##.#.##..#...##.#..##..###.#.#.#...#.##..#.#.###..#.##.#..#..#.#.#..####.#.##..##.#.#..##.##.#########.###.#..#...##.#####.###..####.#.......##.##..##..#..#.#.###.#.#..###..#.###.#.####..###.#.#.#..####....###.##.#.###.#####.#...#.###......##........###..###.#.#.##.#...##.#..##...#.#..##.#...###.##.#...#.#.#.#.##.##..###.##..#..#####.#.#.####..#..#.##..#.#..###....#.....##..#.#...###..#####.##....##..##....#.......#.###......###....#.##.#....#......##......#.#.#.....####..###.##..#.....##.#.#....#..#..#..###..##.##....###.#..##.##.#...#.##....#.#..#.###.##..####..##.#.......##.###..##.#..#..###.#.####.##..###..#...#...###..#...#..#.##.##....###..#..#..##...####..#..#........####..##.###..#.#.#####.##.#.#...#.#.###...##....##.#..#..#.####.####..#......###..#....###.........####.#.####..##...##...#.#.#.##.#...#..####.#..#..#...####.#.##..#######..#...#.....#...##..###.####...###.####..####.#....###....##.#.#...#.##..###...#.#....#######.##.#....#.#....#.#.#.#..##.##..#####..###.#...#.#.#..#....#.##.##...##....##..#.###...#...#####.#.####.#..#...##..#.###.#.#....##.#.#.....###.#.##..###..###..###..#.#..##.#...##.....###..#.#.###.###.#..#..##.#..#.###.....#.###.##.####.#.##...##.#.####.###.##.########...#.....#...#...####.##..#.#.##.#....#......##..####.#...####....####..######.##...##.#.#.#..........#...########.......#....###.####.###..####.#.#####..##...#####....####.#...##.########.##...##.....##..#####....#...#.##..##..###.#...##..#..##..........#.#...#.#..#.#.#.##........##...#....##...#.#.#.##..#.###.##.#########.###..####..###..#..#..##...####..#..#...##..##..####....#.#.#.##.#..#.####.#...##.##..#.....#..##......##.#...##...###..#..#....#####.#.####..###...#...#.....####.#...########.#..#........##....##.##..##.#.##.#.#...###.#..###
##.##.#..####.#...#.#.#..#.....##.#.#...#.....###..######.###..##.####....#...##...##.##.#.##..#..##.#.#..#..##...#..###..#..#.####...##.##...##.##.#.#....#.#.##.#.##.##..#..#.#.##..##.##.....#.###.##.##....#.##.#..#.##.#.#.##.###...#...#.#.###...#.##...#####.#.##..##..##...#####..##....##..##...#.#..#.##.....###..##....##..##.####..###.#.####.#.#.#.#...##.##.#.#..####.#.###..#....#..##.....#..#.#.#.##.##....##..###.##.#.#.#.####.##...####....##.#.#####.#...##.###.##....##.####.....###.#.#.#####.##..###.#..#.####.####.#..#.###...####...#.#.#...#.#.#....##.#...#####..#.#######.###.....#...#####...###.#..#.###.#......####..##.....#..#.##.#..#.##.#.##.###..##.#.#..#.#.##...#.####.#.#..#...#.#.....####....##....##.##..#...#..####.#####.#...##..##.#.#.#...###.#...####.##.#..#....##.#.....##.#...#.......#.#...#..#....#...##.#.###...#..##..##...#..#...############...#.#...#######..#.####.#..#..###.##.#.#...#.##...#...###..####.###.#..##.#.##...#.###......##....#....###.###.#..#...#...###..#.#.....#..#.#.###.#..###.....#...###.#..###.###.#...####..##..###.##...#.##.##.#####.#.#....#......##.#..#.#....###.##..#..##..##.#.####...##..#....#...###....#..##.#.###...##..#..#.#.#...#..###...##.#.#...####...###...##...#.####.#...###.####...#....#.###..##......#...#.#####.#.#.###..#.#.##..#...##....####...#..#..#..#.#..##.#..##..####....#.##..#....#....#..#...##.#..#####.#..######.....#...#.##...####.##.#.####.#.##......##....#..######.##.##..#.###...###.#.#...#.....##..#....###.#.#..#.#.##.#####...##..#..#.##.#...#.##..#.###...#.##..##.#.#...###..#..#..##.##..#...##.##..###..####.###.##......#.#.#..##.##..#....##..#...####.#...#.#.###....#.....#..#...#.###..##.....##.##...##...#..###..############.#..######.#.##..#.#...##.##.###..#.#.####.#.##.#.####..#.###.##..###.........###.#........##....###.####.#######....##...#.###.....#.##.....#..##..#.#####..#.##...###..###.#.#..###...####.#####..#......####..##..#..#...#..#.#..#.#.##..###....#.#.###...###..###....#.....#######..#..###...#
.#.#.#.##..#.##...#..##..#..########.#..###...#.#..#.##..####.#.#.#...##..#.##.###.###.##.###.##......#.####......##.##.#..##..####..######..####..##.##.##..#.####....###.#.####.#####..#.#.##.#####.#.#.#...##..#.#####...#.##.##.#..##...###....##.#.#..#..#.#..#..###.##..##.##....#.#...###.####.##.####.#####.##..#..##..##.####..#...#.#...###..##..#.#.###..##.###...####.##.#..#.##..#####.#....##....#.....##....#.##....#.#.###..###.#.#...#....#..######.##..#.##.####..###.##..######.#.#..#...#.#.#..#.....##.#.##.######.##....#.##....####.##..#######.##.#.##..#.##..#..##.##.#..###..#..#.#.#..##..##.#.#...#...#..#.###.....#....###.##....#.###..#####...#.###...#..####.#.#.#.#.#.#.##...#..#.##...##..###...#..#.#.###.##....###.#..##..#..#####.##...#..##..##..#.##.#.#.##.###.###..###...#.####...#.###.##.#.#..#.#..##...##..#.....#..##...#..###..##.##..####.#.#.##..###.#.....##.......#..#..##..#...###...#..##.#.###..######.....#..##..###..##.######....##..##.#..#..#...#######..#.##.##.###.#..##.....#...#....#..####.##.#.##..##.#...#####..#.#.##.##.......###.##.....#######....#.#.###.#####.##...#####..#.###..#.###..#####.#####.#...###..#....######..##...##....######..#.#.#....#...#.#..#.#.###.###.#.#.####.#.##.##..##.###....##.#..#...###....#..#..#####.###..##..#.#.#.##...#####..###.###.....##.#..###...#.....#...###.####...#.#.#..##.#..#.#...#...###...##....##..#.#...#..##..#.#.##..###.###.#..##.#..###.#...#..#.#.#.###...#######.##.###..###.###...##....##..###..#.#.#.#...####.#..#....##.###.......#.#...###.##...##...#.###..##..#.#.#.###.#.#...##########.#..##..#.#.#.##..#####.######.##..##.#.#..#..#.###...#.....#.#.#..#.....##.#..##.##.#.#.#.##.##..##.###.###...#.###..#####.#.....###.#.#..#.######..######.##...#..#.#.#.#..#...####..####.....###....##.##.#######..#.#.......###....#.#.#..#..##.#...#.####.##.##.##.#.##.....#....#..####.#####.#..#.#.#...#.#...#.#.##.#.#..##..#....####.####.#.##...#....###....###..###..#.#..#....#.###.##.####...##.#####.###..##...#.#..#..#....#..##...
..#..#...####..#..####.#.####.##.###.###..#..#.#..#.##..........#..#####.#...##..#..####...#..#.........#.##...##...###..#.####.#..####....##.#....##..#.#......#......#..#.#.#.#..##...###.##......#...#..#..###.#.#.#..##.##.##.#.##....#..##....#..###..#####.#..#.#....#..#.#.#..#..##.#......#....#.#..##.###..#.#.#..#####.##..#......#..##.##....#.#.##..#..##..###...##..#####.#.#..#..######.#.####.....##.#.#..#####.#..#.##.#...##....###.###.###.#.###..####.#..###.##.#.#####...#..##.....#.##.#...#.#.##.###.#.###.#####.##.#.####.##.##.##.#.#.##.#.##...#.#.#.##..#####...##.#####..#.##..##.#.#.#...####.#..#.#####.....#...#..#......#...####.##..#.#...#..#...##..#......#....##...######....#..##..#.#.#.###..#....#.#.#.###.#########.#.##....#.###.#.###...##..#.##.##..#.##..##.#....##..#..#..#.#.####.#...#####......#.#..#.##..##.#.##..##.....##...#...#####.#.##..##..###..##.###..#.#...#......#.#.........##...#.####.##.###.##.##......#.##.##.#.....#.##..###..#...#.##...##......###...##.#.#...#######..###..#..#.#.###.###.##..#.####..#..##....###..#.##.#.#..#####..#.###....#.#.##..##.#.##.......##.###.....####.#.###..#####.#..###...#...#.###.#..##...#...##.###..###..#.###....##.#.#..######..##..#.#.#..##.#.....##.#.###...######.###.#.####..#####....##..#.###...#.###..#.#.#..##.#..#.#.##...#...##..#..#####....###.#.######.##..##...#...#.###..#.#.#.....###.###.##.##.#####..#..#...##.#..#...#.#.#..#####.##..###....#..######.####.##....#..##.#.#.#.#..#.#.#..###..#.#.#..#..#....##.....##.#.#....##.#####..##...##.#.#.#.##.#####.##.#.###.#.#..###.#...#.#.#.#.#..##.####......###....###...#####..#..#.###.##.##..#..##.##..#....#.####.#..#####.#.#..##...#####.#.##...##.#.##...####.#....##.#....#.#.#..#.##...###.#.##...#..#..##...##.#.....#####...#....##.#.#....#..#.##...#.#.##.#..#..#..####.#.####..#.#.##..####.##..##.#####..###.#...#..####.#.#..#...###.#....##...#...#.###.#.###..#.##.....#.#..#.#....####.###..###.##..#.##..###.##.#.##.#.###...#.##..#.###....#.##.#..##.#####....#.......#.#..#
.#.#..####..##..##...#..##.#...#..###..#.#...###..##...####..#..#....###...#..#####.##.#.#...###..#.####...#.##.###...###.#.##.......#..####.#.#.#.#..#.###.###.#.###.#.#..##....###.#..###..#.....#..#..###.##.###.###..####.##..####.###..###.####...#.#...##.#.###...#.#.##......##..#####......##.###.#....####..###..####.#.#.#..###.#.#...#.#..##..#.#....#.#......#...####.####.#.#.###...#...#.##...##...#.###.##.#.###.##.#..######.####..#....#.#.#...##...#.#...#.#..###..#....##.#..####.#..##.#.#.#.#....#..###..#.##.##.#...###.##..#.##.#.#...##.##....#..#..##..##.###.#..#....####..#....#.##.##.##..##.###.##..#.#...##.##.##..#...###.###.....###.#.####....##.###..####..#..###...#..####.....##...#.#.########.#.###.###.....#.###.##...#.##...#.#####.##.#.#..##...#...##.##.#...#..#.....##.###.#....####.......#####....#.#########.#...#..#..#.##..#.#..####..##.#.####.#####.##..###.#..#.##.#.##..####.....##.#.....#.##.#.##....#.#..#...###......#.#####.####.###.##.......#..##.##..#.#..####.##......###.###########.#....#..#.#.#.##.##...#.####..#....##..##.##...#..#...####.###.##.###.#.#.#..#.#...######...#####....##.#..##.#.###.##.#.#..##.#.#.....#......##.#.##..##....#.#.....###......####.#.#....####...###.###...#.##.#######.....##.#.###..##.....#.#.#...####..##..###.#.###..#.#.#.####..#....#.#...#.#.#...###.....##.#..#..###...#.##.#.#..######.###..#.#..########...##.#.#.#..#####.##.#####.##..#.#.##..####.#...#....#.....####..#.##.....#..##...###.##.##.#####..##.##.##....#...#..#........#....####.#...#...#..#.#..##.###.##..####...###...##.###.#.#..###.###.....#...##..#.##.#..##.##..#..#....#####..###..###..###.#.####.##.####.......#..####.#...#.#.#....##.###.###.###.#####..####..#...##......##.#..#.#..##.##.#....#.##.#.#...#...#..#.###.#...#.#.##.##.#...##....##...##..#...##.#.#........##..##..##..#..###.##..###..#.#..#.....##..##....#..#..#...#..##.#....#...###..###.##......#.##..#..##......#.#.##.#.##.#..#..###...##.#...#.#.#.##.###.....##..#.###.##.....#..#..#..#..#..#.#.#.##....
.#....#.#.##..#.#.#.##.####..##...##.#....##.##..#....#.######.###..######....###.#.##.##.#..#####...###.#.#######...#.####..#.###.########..#####.##.#.###...###.##..#######.###.#....#..######.#.##.###.##...###..#.#.#.##..##.##.##...#..#...####..###....#......#....##.#####...#..##..#...##.##.#.##..#.#...##.....#.###..##.#..##.#......#....#.###.#....#.#..#.#..#.###.##..#...#..#....#..##.###..###.##.#.#...###..##....###.##.#..#.#.##..#.....#..####...####.#....###..##..#.###..##...#####......##.#.#.#..##.#.#....#...#.####.#..####.....##.#..##..###......#####...####.##.#.####.#...#.##...#......#..#.#.#.##.###.#.#.#..#.###...##.#.#.#...##.......###.###.#....#.#####..#...##...##.#######...###...####....###...#.##..#.####....#..#.##...##....##....#.##.#####.##.#.#.###..#.##....#.#....###.......#..###.#.#..#..##...#.#.#.#..#####..##.....#####.....#.###.#..##...#......##.#.##..#..####...########.#.#.#.##...#.##.#.##..##.#.###..##.##.#.#.####.#....#.##...#####.####....###..#####.####.#.#.#....#.####...#.#.#....##...##.......#.###..#.#..####.##.#..#..#.#...#..#.###.##..#...#....#.##.#####.#...#.##..#.######...#..###.##.#..####...#.#.##.#......##..#####.#..##.##.##.#.#.#..#..###.##.#...###..#..##.......###.###..########.#..###.######..####.#.#.###.##..#.....#.#...##.##.##.##.###...##..#.#......##..#.#...#...#...#####.#..#####...##...##.#....###..##.##.....###..#..###.##...##.##.#..##.###.##.....##.##...#.##..##.#..#..##.#####.##.##...#.#............###....##...#.#..##.##..###..#.#.###.#.##.#.#.....#.#####...####.###.###..####.######..###.....##.##.##.#.#..##...#...###.###..#...###.#..#.#.###.###.#....###....#.#.####..#....#######.###.#######..#.#.######.#.#...####.####..##..##....##.##.##.##....###...###..#......###..###.#.....#.##...###...##.####.######.##.###..##......#####..#.....##...#.###.#.####..###.##.#.....#.##.#.##...#.#.#.#.#..#.###.#.#..###.#..###.#..##....##.##.####.####.###....###....##...#####.###.#.##..####.##.#..#..####.###...#.###.#...####.###.#..#...#.##.#.#..
##...####....#..#.##.#.........#.##.#.#.##.#...##.####.#.####.##....#..##..#....#.##...##.##.#..#####.##.#.#..##.#.##.###...#...#.#..#...############.#.#...#...#.#####..#.##.#...##.##..#....###.#.##....#.#...######.#..##..###.#....#.####.#..##.#..#....#.##......#.#.#.###.#.#####..#.###.....#.....#.#.###...##.######..#..#####.#......##.#.#.###...#....#.##.#.##.#.#.#####....#.#.......#..##.#.#####.#.#..###.#..#..#..#.###.#...#.###..#.#...#.#..##.#####.#####..###...#.#..#.#...#.####..#..#..#..##.#.#.#.##.##..#.###...##.#####.#..#...##...#...###.#.#..#...##.##...##.###...#.##.##..#.##########..##....#.#.##.#..#...###..#.#.#..#.##..#.###.####.#####.###.###..###..##...#.####...#.#.#...#.#.##..##.#.##..#...##.##...####..###.#..#.#..#.#.##..####.#.........#.#...#.#..#..##.##..##..#.#.##....##..#..####.####.#....#...####....#...#.#.#.##..#.####..#..#######.#...#.#.#.#.#.#..#.#.##.##.###....##.##.###...#..##.##...##.##.#...###.##..##....#.##.###..##..###...#.####.#.#.#####..###.........#..#.####.##...###.##....#.#...#.#.#####..#...###.#.#..#.###.####...#..#####..#....####..##..#.....#..##.#.#.##.#.##.#.#.#...##..#....#...###...##.#.#.....####.#.#.##.########.......#.###..##.#.#.##...#...#..####....#..#....###.#..####..###.#.#.###.#...##.#####..#####.#.#.###.#####..#.#.####..##.#..#####........#.#...#.#.####..#.##....#..#.#....##..#.##.#...##.#.#.#..#.##...#....#.####..#..##..####..#.###.#..##.#...#..##.#.#.#.#.#.#..#.#.....#..##..######.#...##.#..#..#######...###..##.#.#...#...###...##..#.##.#....###.#...#..##.##.###..#.#####...#..##.#.###.#...##.#.####.#.#.#..###..#####.###..#.##.##.#.####.#..########.#..#.#..#..#####......###.#.....######.#.#.#..#.#.#..#.##.......##.######.....#####.######.###.#............#..#.#....##..#.#.###..#................#.###.#..#......##..#....#...#....#......#.#.##..###.#..##.#...##.##..##....##...##.##.#.#..##.##.....#.###.#.####..#.###.#.#.#.###.#.#..#.....#..#######.....#...#.#...###.####.###########...###.########.##..##......###..##....##..#
#...#.#.#..####.#.....##.#...###.#.#..#...#.###.#.#.....##.#..#.#..#.####.###########.###..#..##....#.#....#..#######..#######....##...#.##..###..###.#.#.#.#...#.#..#......##...##.#.##.####.#.#######.#..#.#.###...##.#...#.###..##....#.#####.#.#.##...##.##.##.##....#.##..####..###.#.#...#.###.#..#...#.###..##..###...#.###..####.##..#.##.##.##.#.#..##...#.##..#..##.#.#.##.#.....###.##.#.........###..#...#..#..##..###.##...#...#...#.###.#..##..##......##..#......########...###.##.....####.#...#..###...#.#..###...#.###..........##.###.##..###..##..###.#..##..#....#.....###.###..######..##..##...#.#####.#..#####.#.#..#.#...###.#..##..#......###..............#####...#.###.###..####..####.#..#..#####.##.##.##.##.###.#...###..##..#..#.#.#.###..#.##.#.#.#..#.......#..#####.####.##.#.#.#....#.####..###..#..###..#.##.#....#......#.....#....#.##.......#.###.#.#...##.#..#.##...#.#####.#.#..##..#.....##...#.#.#######...####.#.#..###.#......#####......##.##..#.#.#..#####.#..#.#####..##...#..#.#...##..#.#.#..##.#####.####.#..##.#..#....#..#####..#.#.#...#..####....#.##.##...#.####....####..##.#.##......#.###.###....#..##.#.###.#####...##....#.#.#..#.##...###.#..####....#..#.#.#.#...##.#...###...#....##...#....##.##.###.###.#.#...#.#..#..###.##....##.....#..#.#.#.#.....##......#.##..#..#.##.######.#####.#..#...##...#.##....####....#.##.####.##.#....#...##..##.###.###...#.#.###.##.#.#....##.#.##.####.#.##...#.#.####.#..#.##..##.#.#.#.#.#...###.#.....#.##..#.#.#.####.#.#..##.#####.##.#.#.##.#.##...##.##...#..#######.##.#...#..###..##..####.##...###..##.###..##..#...#.###.##..#######......##....###..#...##...#.....###.##..#######.##..#.###..#.#....#..##.###...##.#.......#..#.##.#.#...#.#..####.##.#####..##.###.##.#.##..######..##....#.#.#####.##.##.##..#...#.##...######.###.#....##..#..##...#.#....#.#.#..#..#####..####.##.#..##...#.#..##.....#.......#..#####.#####...####......#.#.##..#..##.##.#..#...###.....##..###..#.####.#....#...#.##.##..#........#...#.##.#.....#..#..##..###..#####.
..#.#.#.###.##.#.###....#.#.##.##...#.#....########.##....###.##..#.#.##..#.......#.#.##.#######.###.#.....###..#.#.##.#....##.#.##.#....##..#.###.##...##.##.#...####.#..#..#..##.#....###.#...##.......####..###.###.......#.###.#.##......#.##.....#..#..#.#.####.#####...#..##..##.#.##.####.#....#....##.#.###.#.##.#....#.#####....#..#..#.##.###.###.##..####.###..##..#.##.#...####......#...##....##....###.#....###.##.##....#.#..#.#..###.......#....#..#####..#.#.#.######.###.#.#.##.####..####..#..#.##..##..#####..##..##.####.##.....#......#.##...#..##.#..#..##.#.##..#.#.#####..#.#.##.#....#.##.#..#.##..###...#.#.###..#.###.#.#...#....#....#....##..#.#....#..##.#....##.#######.######.#..##..#.##.##.....#..##.####.#..#####.#.#.##.#....##.#.###.#.....#..###.#.#.#........##...#..#.##.#####..##..#..##.####...###..###......#...#...#..##.#....####....##.#.###.#.#..#...##...#.#..#.###.##..#.#.#.#.#..###.###.##....#...#######.#####.#.##.##.......#....#.###...##..###.#.####.####.##..##.#..##.##.#....#..#.....#..##...##...####..#.#.#.####.##.#.#..######.#..#.##......##.###...####.##.#.##...##..######.#.#.....##....####..###.#.#####.######.#.#...#.#...#####..###.#...##.#.#.##..##.##..#..##.#########.##..###.#.#.#...##...##.....#.#...######..#######.#...#..##.##..##..#.#####.#.###...##.#..#.#..#..###..###.....###...#######.##..#....##.#....###.##.#.#######.###.#.#..#.######.##.###..........#..##.####.###.##..#.##..##.#.#.##......#.....#.#.###..##..#.####..#...##.#......###.###.#...##.#..#####...#####..##...#..##.####..##.###...#......#..#.##.##.......##.#.#.#..########..#.###.#........###.###.#.#....#.#.#.#.##...##..####.......###..#...##..##..##.....##.#....##.###....##...#..####....######.#.#.##.....#....##.###..####.##...##..#####.##..##.###....#.#.#..#..###.#.###.#####..#####....##..#.#..##..#####.#.....#.##.##.#......#.#....#.....##.##...###..###.#..#..##.##.#....#.###...#...##.###.##.####..##....###.#######.########...#.##..#..###.#..#.##.#..#.#....##..##..####...##..####.#..##
...#..##.#####.#######.#....####.####.###.####...#.#.###....#..####.#####.#..#..###..######..##.####....####.##..##..#.#...##.#..##.#..#.#.#..####..#..#..###..#.#...###..##.####.#.###..#####.#.#...####.####...##.###.#...#.####.#.#.###..#...#....###..###.####.#..###...####.#.#####...#.####.##.#.####.###.#.###.#.#...##.##.##.##.#.##.#.#.#.##...#..##.######.#...##.###..###...####....###..####..#.##....#...#.##.#..##..#....#.###.#.##...###...#....#..##....#....####...#....###....###.##....#.###..###....###.....#.####..#...##.##..##.##..#....######.#####...#.####....###.#.#.#.##...#..#.####.##.#.###.##.####.##...######.##...###.#...####..#..#..#.#..##.......####.#####...####.##.###.........#...##.#.##..###...#.#.###.....###..##..#..#####..##.##...##...#..#.#......#.####..##....#...#...#.#########.#####.#.....##..#....##...##......###.#..#..##.#.##....##..##.##.##.##..#.#.####..#....#.###.##.....#.....###.###.##..####....###...##..##.#.###.####.#......######.#.#..##..##.###........#..#.#.......#.##.#.#.#.#..#.##.#####.##.#...#.###.####..##....##.##..##..##......#..###...###....#.#.#..##.....##.#####.###...##....###.#.#.#...##.#....##.#.###.#.#.#..##..#####....##.#.#.#...###.....#.....#.####..#.#.#..##..#..##....#....#.###.###.#.#..#..####...#.###.##......###.#....#.##.#..##.##..#.####...##.#..#.#####..#..#.#.#.#.........##.##.#.###..#..####..#.#.#.##.##.#....##....##.#.........#.##..#.##..##....##.#.#.#..##.###...##.#######.#.....##.#.#####..##.##..#.####.#.#.##.#....#.#...#..##...#..#.#.#......#.###...#.##.#..##.#..#.###....##....#..#..#..#.#.#.##..######.#.#...#####.#....###.#..#.....#.###.######..#..##..#.###....#.#...#..##..#.#.######...#..#..#....##....###....###.#.#.####..#..#......#.##.#.###.######...#..##.#...##.#..#.##.#.#..#####.##...#.###..##...#....#...#.#..####..####.##..#.#..###...#......#...#..########...##.##.#..#.#.##.......##.#......#..####..#.#.##..##.#########.....#.#.#..##..#.#.##...#...#.#.##...##...#..##..#...##...#.####...####.#.####.....#.####.##.
##.#.##...######...######...#.##.#.###.###.#.#.##.#.##.......#.#.##.##.#.##...#.#####.....#.#.#.###.#..#.....#...###..#.####...##..##.##.#......##..##.##...##....#...#...#.#.####..##.#...###..#.##...#.#.#..#.#...######..#...#..###..##.####..#.#.##.#.#####..#.#..#.....####..######.#.#.#.#.###..#....#..##..###......#.#.##.##..##.#####.##.#...####.##..##.##.#####...###.####..####..#..##..###...#.##..####.....#..####..#.#...#..##.##...#....##.#..##.###..###..##....######..#....##..#.##..##...#..#.#.............#.#...#....#..#..####.#.#.#####.##.###....##...##.#.#...#.##.##.#..##..#....#.###...##...##.##.##.#.##..##..#..##.##..####.#......##......#.#.#.###....###.....#.#.#..##..######....####..#.#..#..#.#.##.#..#.#...#..#.#..####.##.#.#.###.#..#.#..#...###..###...#.##...####.##.#.###..#####.#.#.#..#.###.#..##.##..##....#.##.##....###....#.#..#.#.##.#.##.####...#.######...#..#.#.####...##..#.#.....##.###...###.....#.....#.###...###.###...#.####..#...####.##..##..###...###.##..#.####..#...###.#####.#.##.#####.##.##..##.#.#..#.#.#####..##..###..###....#.#.##.##.#..#####.###...#.##.#.###.##.###...#...#.##..#..#....#.##...#.##...#...#.#...###....##..####.#...####.#.#....######...#####..##..#....#.#..##.#..####..#.#..#.###..####..####..#....#....#....#.###..##..#.##.#.####.####..#.##..#.#####.#...#.###......####....#.###..#####..###.#.##.#.##...###.#.#.#..##.##.#####.##...##..#.##.#.##...##.#####....#....#.#....#.###.###..#####...##..#.##..##.###...##..##......##.#..###..#.##...#..#.##....###....#.###...#...##.##.#..##...#...####..##..##.##..#.###.##.###.#.#.#.#..#..#...#.#####.###.##.#..#.###.###...##....##.#....#..#.#..##.#.##....#.#.##..###....##.#.####...#..#..######.#.##.#....###.#.###..#.########....###.#..#.#...###.#.#.#.#...#..#...##..####..#...####..#.##.#.......#.#####.##.#.#.#######....##...#......#.###.##..#....##..####.#..##.###...#.####..##..#...#.#.##..#..#.######..#.####.#.......#..#.##.....#.##....#.#.##..##.#.....#.##...###..#.##.##.#####.##.###......###...##
.##..##....#.####.##...#..#####.#.#....#..#..##.####.#..#.##...##.####.#..#.#####.###..#.#.#...#..#...#.###.#...#.#.#.#..#.##.#####.##.##...####...###.##.#..#.#..#..#.#.#.........##.###...##..#..##.#..#.###.##.#.#..#..#.###.##...#.#####.....#...#.####..#.#..###.##.####..#.#.#...#.#..###.#......#.#..#.....##...#...#.....#...#.#.#.#.......#.####.#..#..##.#..#.##.#.#.##..##..#.....######.#....####.#..###.###.####..##..##.##.#.#..##..##.#####.#...#.#..##......#.#.##..#...#.#..####.#.#..##.#####.###.....##.#.######.#..#.##..#..#.#.#.##.##..#...###.#######.#.#....##.#.###.######.....#.#.#.#..##...#..##...#..####..#.##.##.###..#.###.###.######...#.#...#.####.#...#####...#.####..##.#...###.#..#.....#.#.##.#####...#.#.#.###.########..#.#.#.#.###.###..##.##.....#..##...####....#.#####...##.#.####.#.#.##.##..##.###.#....###..#.#.##...#..###.##...##...#.##.##.#.#.#...##.###..##.#..##..#.#####.#..##...###...##.##.#.#.##...#..#.#######..##...#.###.#.#.####.#..#....##.#...#.#.######..#.####.##.#..###..#..#.##.#.###..#.####..##.#..##...#...####....##.#######..#.....###...###......#.#...###..####.#.###.#.#.###.........###..##..###.#....#..##.#.##.#.###.##.##...##.#....#.##.##..###..#.#..#.###.#.##........#.##..#.###....###....#.#....#...####...#.##...#.##.#..#.#..###..##.#.##....#..###..####.##...##.##..#...#...#..#..#.....#.#.#.#.#....######..#.#.#..###..########...###..##.#.#...##....#..##....##...#.#....#.###..##..##.##..#.##.#.......#.####.#.####..##.#.####.#####..###....#...#.#.#.#...#.###..###.#...###....#.##...#..##....###...#.##..######.#.#..#.#..###..##......#.#..###.....#...##..##.#######.###.###.##..#..#...##.#.#.....##.....#.####.###..#.#..###.#.#....###....###..#.#..#..#...#....##.##.#...#.#.#..###.....#..#..##...##.#..#.#..##..#..###.##.#.#.#..###.#.#....##.##.....#...#####..#.##.##.#.#...##.#.#.#...#...######..##...##.####....#.......#..#.....#.##.#####..#.....##...#.....###...###.#..####..##.#.###..#.#...##.##..###.##..#.##...##..##.#.#..#..#.##.#.###.......#.#..##.#
#..#.##.#...#..#.#.#.....#.#.###.###.####.#...#.##.##.##.####..##...##...#...#..#..###.####..#..#..#..#..#..#.##..####..##.#.#.....###.#...##.#....#..#.#..######.####.###..##....##...#...#...#######.#.####......#..#...####.#.#....###.#.#####...#.###....#.########..##.####.######....##..####..#.#...#..##.#......#..#..#....###.#.##..##...#.#.####.##..#.#...###.##.##.##..#..##..#..##.#.###.##.####.....#.....####.##..#.#..#.........#....####..##..#..##...#.##...#......##.####.##.#.#.#####..###...#..#.....###........#......#.##..###...###..#.#.#.##.###.##.#...###..##########...###.####.##...#####....#.#.#.#.#..##.#..####.##.#.#.#.##..#..#.####..#.#.#.#.####.#..#..###......##.###..##..#.#.##.#.#..###..##......#...##......#.#.#..##.##.##..#.#.#.#..#..#....##............##..##.#..##....#.#...##........#.#..#..##..##.##..#..#..##.#.#.#.####..#########.####.#..#####..#.###...#.####.#.##..#.##.....##.#.##....#...#....##..#.##..###....#####.#.###..###...#..#..#.##..###.....##.#..#.#..###.##..###.#..#..#.#.#..#..#.##.##..#.#..###..####..###..#..#...###.####...#.#.##....#.##.###.###..##.#...#..###.###....#.#...##....##.#.#.##....####.#..##.#.#######..##.#.#.####..#.##...#..#.###...#####.###.#.#.#.###.#..#.##.#..##.#.####.##..#.###.#...###.#.#...###..###..##.#.#.#.#.#...#.#..###..##.#.###.##......#.###..#.#...##.#..#.#.....##.####.#...#####.#...#.###.##.#....#.##..###.#.#..##.#..###..##.#.#...#..#.#..###.##.#.#####..##....#.#..###..##..#..#.##..#.#.###.#..##..##.#####.##.#######.#####.#..#..#...###.#.##..#.#..##..#.###...####..#...#..##..###.##.######.#..##..#####.#.#....####..##..#..#..##.##.#...#.##.#.#.#.#..############.#####..###...#...###.####.#..###.##..##..#...#.#.#.....#..##..##.#.#.#.#...#....##..#.####.#...#.#.##.....#...#.#...#...#..#####.#.#....##...#...#.#.....#####...##.##.##...##.#...#..####.#...###.####...#####..#..#..#.#.......#...####....#...#.....##..#####.#.##..#......#...#.....#.....##..###.####.#.##..##.....#.####..#..###.#.##....#####.##...#.#.#..#..##.#..#.
##.##....#####.#...########..#.##.#.########.#.#....#.##..#.####...##.#.#...#.#..#.##.#.#....#.#...##.#.#...#..##..#.##.#.#...###.#...#.#....#..#..#.######.##.#........#...##.#.####.##..##...###.#.##..#####.###..###...##..#.###..#..###.######...##.###.#.#.#.##.#....#...##...#.##.##.##.#.##.#.##..#####.###.#.....#...####.#.#.#.##..#.......#.#......#.#.#.###.#######....###..#.#.####.##.##.##.#..#..##.######....##.....#.#.##.####.###.###.###.###.#.#####.#.####.####.#.#.##.##.###.##.#...#.#.##.#.#..#.#.###.##.#..#.###..#...##.#.####...###.##...#.###....#...##.##..##..##..#####.....#.#.#.#...###..##.##...##.#..#.#....##.###.#...#.##...#..###...######..#.#..#.##.##..#.#.###...#...###...#.#.#..####.......#...#..#.##.#.#.....#..#.#.#.#.#.#.......###.##.....##..##.####.#..#.###.#.#..#.#.##.#.##..###.##.####.#.#..#.....#.######.#..##...#..#.##...#..##.###...#......#.##..###...###...#.####..#....#.#....#.#..######..#.#..##..#..##.##.#.##..#.####..#.#.##.#..##..#.#...........#..##.###..#..#.##...#.###.#.###......####.#.##.###.#.###....#.......##.##.......#.#.##...#######.#####..#######..#....#.......###.##..#..###...#.#.#..#.....###.####..#.#...##..##..#.#.###.#.#.##.##.#.####.###...##..#...#.####...#...#.#..##.#....###.###.###.###.###.###..##..##.##.###.##....#..#..####.####..#.##.#.#.##...#..#.###...###.##...##.#..#.#..#.##.#..#..##..##.#..#.....###.###.#.#.#.#.#..##.###.##.....###.###..###..#..##.#....##.##..#..#..#.#....#.##.#####..#.##......#.#..##.##...##.#.#.#..###.##.#........#.#.###.##.#..###..###.##.##...#..#.#.#..##.......#.#.....##.#.##.###.#.#.####..##..#.#.#.###.##...##..#...#.#.#...##.###..#.##.#...#....#...#..#.#.###.##....#.#.##.#.#..##....#...##.#######.###.##..####..#.##.##..#...##...#.##.###...##.#..###...#.#.#.##.#####..#.###.##.#..###....##..##.###.#..#...#.#...##.#..#..#.#..###.#.#...#.##..#.#####.##.##..##..#.#...#..##.##..#.#..###..#....##..#.#..#.#.#...#...####....###..#####...###..#.....###..#.#..####...###.##..##..###.#....##.###.###.###.#..#.###....
.#.##..#..###.#....##...##...######..###..#......###.#.#...#....##.##.#.#.#..##.#...#..###.###.#......##..#.##.#.#.#.#...##.#.......##.##..##..#...#..##.#.###...##..#####..#.#....#..##..####.#.#..#..##.##.###....##.####.###.#.###...#.#.##.#.##.#..###.###.#.###.#.#.##.#.##########....#.#...#.#####.#..##..#..#.#.##.#######.#..####.##....###.##.##..####...#####.#...##.##.###..###.#..........###...###....##.##...##.#.##..######...###..#.###.#..######.#.##.####.###.############...###...#.#.#..###.#.#####.#...##...#.##....####..####.##..#....#.##..###..#.#########.#.##...#.#.#...#....##...#.##......##..#.#.##.#.#...#.##..##...#..#####.#...#.##...#.##.####..#..##..#.##.#########.##.##..#......#.###.##.#..#...####......###.#.##....####.#.#.#.#.##.#.###..##...##..#...##.##.#..#..###.#..#####.###..##..#..####..##..#.#...##..##..#...#.#..##.###..#..##..###.#..#.##..#.#####.###.#..##..##.####.#.#....##...#.#...#..##.#.#.#.###.##.#....#.##.##.#..####.......#.#.#.##..#...##...#.##.....##...#.#...#.##.#..###...#..##...##....##...#.#.#####.####..#######.#..##....#####.....##...###...#.#.#.##........####..#.#.#..#####..#..#......##...###..###.#.##...##...##.#......####..###.###.#..####..##.#.###.##...##.###..##.#..#.#####..##..##.##.####.#.###..#...#..##.#..#.#..###...######....##...#######.#.####.##...###.....#.##....#.####.###...###.##..##.####.#.#..##.#..#.....#.#.#....#.##.#.#...#..##..##...#...#.###.####.##....#.#########....##...#.#####.#.##.#.#######..#.#######.#.#.#..####....###..##.#####..##.##.##.##.###.##..#...##...###...##.##.#..###.#.##.....####.#.#..##.#.......#.#.#.#..####.#....########.#.##..#.##......###..##..####....#..#.#.#.#..#.#.#..##.######..#..#..##.#...###.#..#.###..#.#..#.#..#.....##...#.###..#.###.#.#...#####....##.##.#......##.#.##..#.##...######.###.##.###.#####....#.###.#..#####.#...#.###..###.....#..#..##....#..#.#.#.#####.##...#####.##.###.###...######.#.#.#.#.##.#.#..#.#.####..######..#...##..###.####...###..#.##.#..#...#####..###.#..#.####.#..#.##...
..#.###.####.#..######...#...###.#.#.#.#..####.##.#...##.#...###.....###......###..#....##.#..#..###.#...#..##.#..###...#####.##..###.###.....###..###.##.....#..#..##...###...#.###.#..#...#.#.##.#.#####.##...#.##.#..#....##.#.....#######.#...####..#..####.#.#.#.#..###....##.##..#.#..#####...#..#..####...#.#.#..######.##....####.####.##..##.##..##...#..#.##.#..#.##.##..########.#.#.###.#...#.#...####.####.#..########......#.##..###....##..#..##.##.#..#...#..#..##.##....#.##.##.#..#..#....##.##...#..##.#.....######.#.####..#.###..###.#...##.####.##.##..##..###.#...#.###.......#####.####..#.....#...######.#.##........#######.#######..#.#.#.###..#..#..#...#.###.#...#..#.#.#..#.#.##...###...#.....##.#.....#........#.#...##..#...##.#..##..#.#..#...##...#.##.##.##...#..#.#.#...#..#....#..#.##..#####.####....#.#......###.#..##.#..###.###....#.#.#.##......##.##..#...#..#####.#####...###.##...#..#..##.####...###..###..#..#...#.#.#..#.#.##......#..##...#.###.#.##.##.#.##.#.#.#..##..#..##...##...#...#.#....##..#.#..#...#..#.##.....#.#.##..#.#.###..#.....#.....#.##....###.#.###...#.##.#.###.#.###...#.##.##.##..#....#.##.##.#.#####..#.###..#.#..#...#...####..#...###...#..#...#....##.#.#..##...##...##.##.#.#.#..#.###.#....#.##....#####...#....#.##.##.##.##..####.#.###....##.####..#.#####.#.#..#...#..###.#.#.##....#..##..#..##.#.###.#.##.#..#.##.####.#...###..##.#.#.#..#.###....#..##...#.#.#..#..#...####..##...#.#.#......#.#...#...###.#..#..###...###.##...#.#.......#.####.#.##..##.##..#...###.##..#.##...##.#.#..##.###.#.##...##.#.###..#..#.###.#..#.#####..#....##.#..#.##.#......##....##.####.#.#####..##.##.....##.#.#.###..###...##..#.#..#.#.###.###.##.#.##.#.####.##..###.#######..#####....#..#.#.#.#..##..#.##.##.#..##..##.....#..##....####.....####...####.##..##...#.##.#..#...#....###.#.....#...#.#.#..##..##.##.###..#.#..##.####.#.###.##.#.#.#.####.###..##.#.#.###...#..####.##..........#....###..#...##.#.#.#..##..##.###..#.#..#..#.....#.####..#.##.###.#.#..##.......##.##..##..#....
#..#...#.###.##...#####...#..#.###..######..#....##.....#.#########.###..#...#..#...####...#...#..##.#.##.######.#.###.#.#.####..#.....###..#.##..##..#.#...#.##.###.#####.##.#......#..##....##.###.#####.....##.#..####.#....###.#.#.#####...#.#.#####.#....#####.##....#...#..#.#.##..#..#.#.####..#.##...#..#.##..#...##...###.#....##.###....####.#.#.###........#...##....#.#....##.##.#....#.####.#..#.#....##.##....####..##.##.##......#####...#..##.#.####....####.##.#....#.####.##..#.###.#######..####..#..#.#....#.##.#.##.####..#.#.#...###..#.#.###...####..###.###....##.###...#.....####...####.#########.....##.###.#.....###.#.###..#...##..#.....#####.###.#.######.#....#.##..##..#####.####..#..##.#..####..##.##.#..###.....#....#......#.#.#..##.###.....#.#....##.####.####.#.#.#..##..#...#.####..#.....##.##..##.##..###..##.#...#.#.#####.#...#####.#.#.#...#...#..####.##.#....##.#........#.#........#....#..##.#.#.####..#######.#.##...#......##.###..#...#.....#.#.#.###.##.###.#......#.#..##...#...##.#########.#.####..#.#...#..###.####.#.....#..#...#...#####.....###..#.#.#..#..##.##.##........#...####.#..##.....#...#..##.#..#.#.#.#.#.#.##.##.##..#.#...#..###.##...###....#####...###.#.##.#.....###.#.#..#......###.#.##....#.##..#..###.#.##.###.#.....#..##..#..#.#....####.#...#..#..##.##.##.##...#.#..##.#.#####.####......###....#....###.#..###..#.....#...##.#.#.##.####.##....#.#..##..####.#..#..#.######..#..##....#.#..#.....#...##.#.#..#.###.#..##..##.#.##...##..####.###..####.######......#.#..#.##..######.###..#....####...#..###.##.#.#...#.##...#######.#..#..#.#.#..#.#..........#..####...##...#......##..##.####.#.#...#.###....#.#######.#....######.#.#.##.#.#.##.#...##....##...#.##..#.##.#.#.##.#########.#.#..####.....##..#####.#.###.###..###...#....#.######....#...#.#####.#..###...##.##...##.##..#...#.###.#....######...###..#.###.#.#..###...#...#.##...#.#......#.#....###..#...##..#..###.##.#.#..#####.#..##.#......###.###.###########.#..###.###..#.##.####.#..##.#####.###..######....
.##.####..#...####.....#.####..######.#.#.#.##.##.####....##.###.#######..####..###.###.#.#.#.##.....###...###...#.##.#..##.######.#.#.###.########..##..#.#.#.#..#.#..#.#....###.....###.#..##..#########...###..#..##..##...#.#.##....#..#..#....##....#....#####..#.##...##.#.#.#.#..##...#....##.######.#.###.#..##....##...#.######.####.###.#.###....##.#.###.###..#.....#.##.#.##......##.###....#...##..##.###..#..#.#...#.##..####.#...###......#.#.##.##..#.##.#####.#..###.###...##..#.#.#.####...###.###..##..#.#######...#....#.#....######.#.#######.#.#.#.#...##.###..#.#.#.#..#.#..##..#..####..##..#...#.#...##.#.......#..#####...##..#.##...#####....##.#.##.....#...#.#.###.....#.#.####..##......##...#.##.####..#.#.#.#..##...#.####.#..##.###.##..#.###.##.####.####......#...#..##.#..######.###..###..##...#.####.##..#.####..##..#####...#.....#...##...##.###..#.....##..##.#...#.##.#.#.#..######..##..........#.##.....#.#..##.#####..####...#.#..#.##.#.#...####.##.#..#.#.#..#..##...#...##...###.#..#..##.###..####...##...###..##.##.##....###..#.##.#....##.####.#.....#.#..#...#.#...#####..##.##..#.#.....####....#.##..##....#.#......#...#.##.#.#.#.#..#..##..##.#...#..#.......#.##.#..#####..#.###.#.#####...##.#.#..##.#.......#...####....#.#..#...####.#..#...#####.###........###.#.#..###..#...#.#######..#.#.#.##....##.##.###.##..####..####.##..###.##.#.#.##.##.##.####...#.#.#.#.#..#.#.#....##..##..##.#####..#..#....#..##.#.#.....#...###...##..#...#....#.##..#.#.....#.##...##.##.######.#####..###.#.#.#.###.####...#.....#...#...#........####......###.#.###.##...#.#.##....#..#.#####...#.#.#####.#..#.#..##.###..#######.###.#.##..#..####.#..##.###....#.###.##....#..#######...#..#.#####...###......##.#.#.####.###.######...#..##....##.####.##.##.##...#.####.##.#.#.#####.##..#..###..##.##....####.....##..###.#..#.##.#.##..##.####.#.##.#.#####.#####..#..#.##..##.##.#.###..#..##.#####..#..#..##.###...#.####....##...######...######.###..#..#....#.#.#.#....#..##..##.##....##.#.##......##.#.##.#.#.##
#.##.......###...####.##...###..#.#.#..##..#.###....#....#.###.#.#..#..#.##.#...##.##.##.####..#..#..###.####..####.....#####.#..###..###..#.######.#..#.####..##..#.......#..#######...#.##..#..#.#####.#....#.#.##.###...#..#....#.#.#.#.###...#.####.##..##.##...###.##.......##.#.#..###......#.#.#.##...#...#####..#.######.#.##....####...########.#...#.....##.....#...#..#....#.###..#####..#..##.#...##.#...##.#....####..###...####.#...#..###.###.#...#.#.#####.######.#.#######.#.####..####.###..#..##.........##..##......####....#.##....##...##...#.#..#.#..##..##.##....###.####.#.####.#..##..##...#..##...#.###.#..#..##...#.###..#.########..#.#.#.##..##.#....##..#.##.#.#####..##..##.###.###....###......#####.#..####.#....##...#######.##########..######.....###.#.###########..##.####.##...####...##..#####.##.#...##..#.#.##.###.#.....##.#.#..###.#...####...#.#.##...#...#.#.#..##.##.....#..####..###.#...#.#.#########.#...#####......#.###..##.#.#..#..##...#.###..###...#.#########..........##.###..#..###.##.#...###.#..#####.####.####.##.##.#..##.##...#...##.#.#.##.#.#####..######.##.###....####....#....#..#..#..#..#......#.##.#.#.#.#..#.###..######.#####.#...#..####.#.##....#.#..#..#.#..###.#.#...#..###.#.###.##.##...#...#.#####..###..###.##.####.####..##..#.#######..##...##........##..#####.#.#####..##.#.#.###.###..#...#..#.#.#..##..#.#...#.##.###...#.#..###..####..#..#....#......#.##.#.##.##...#.###...####.#.#.#.#.#.###.#..###....#..##.##.##.###.#.....#.....##..#...##..#####.....#..###.#.#..###.#...###.##....#..#.#.#.#.......#...#..###.#.###..#.#...####.###.#...#.#..####.##...##...#..##.##..##..##..##....#.##.#####.##.####.##.###..#.#.#.##.#.###..#.#.###......#.....####.##......#.#.###.#..#...##...##.....##.##..#...#...#...#..#..###..#...#..#..##.#.####..##.#.###.#..##.####.#..#...##.##...##..##...#...#.#....#.#.....#.###.#.###..#.#...#..##.###.###.##.#.####...###.##.....#.##..####..##.#.#.#####.##.....##..########..###.#..###..##.#..#.###.##.###.##...#.####.#.#....#..#######.
##..#.#.##.#.#..##.##.####.#...#.##...#####.######...###...#.#..#.#..##....##..#.#.#...#.##...........#.#.###.##.####..###....##..##......#...###.#....##..#..#.#.##......##.##..######.###.##.#.#.##.##.##...#...####.#..###.#####..###.##..#.#..####.####.##...#####..###.#.#.##..##.##..#..########.......##.....#....##..#....###...#...##......#.#.##.#######..#.#.........#.##.#.##.#...##..############....#.##..#.#.#.####.##..##.##......#####...###.###.#..#..##..##.#####.##...#####..#..##....#...##.###.#....##....#.#...##.#....#.##.#.##.##..##..#...##..##..#...#..###.#.####..#.....##.#.##.......#.#.#.##....#..#....#..#..#.#..#####..#.#.###.##.##.#..#.#.##..#...##..#.#..###..##..##...#.###.#..##.#..#.#.###.####..#...#..###.###.#.....#.#..###...####...#.##..####....####..#...........##.......####.#..#..###......#..#...###.###.........##..##.#.#######.....##.#.#.###.#.#..###.#..#..#.##.#..###......#.##.###..#.#..#...##.#..#.#.####.#...#.#.#..###.###..#.###...#...##..#..##....#####..##..#....###...#####.##.####.###.#.#.##.#..#.#.#.....#....#.##..#####.#.###.....#.##.#...##..#.#..#.#..##...#..#..#..#.#.#.##..###.#####....#.#..####.#..#......##.##.##.#.......##.#.##.##..#.###..#..###.#.###..######.#.##.#.###.#...#.....####.###.#..##.#.#.####.#...#....##......####...#..######.##......###.#..#.###.#####.#....#.....#..#####..#####.#..######.#.##...#..#.#..#.#.#....###.....#...##..#.#.#.##.###.#.####.##..##.#...##.##.###.##...##....#...#..##.##.##.....######.###...##.###.##..##.##..#.....###.#.#..###..#.#...##.#.##.##..#..##..#.#..###..###.#.##.#...#####.#.##.#.#.....######.####.##..#......#....#...#.#...##.#..##..#.#.#.#...#..#.#.##.###..#..#.#....#.##.###.#.....#..##.#.##..#....####.###..##.#...##.#..#.####.#...#.#.#....#....##...##.#.#..####..###.#...#.##....##......##...##...###....########.###..#####..#.#..#.#.#.##.###.###...#######...#.....#.#..###..##.#####.#.##.#....#..###.###.#####..#...##..##...#######.#.##..#.#...##.##...#.####.#.#.##.#...####.###..###....##.##.##.#..#..#
##...#...##.....#....#..#.#.##.#####.###..###.##.###.#..#.#.#..###...#..#...###......#...#.###.####.#.###.##.##.##.#.####.##.#..#...#.#....#...###.#.##......###.########...###.#..##.###.#####.####.#..####...##.#.#......#...#..#######....#.#...##...##..##.#..#.#..#.###.####...#####..#.#.#..###..###..#..#....#.####.##...#..#..####...#...#.##.#.###...#...###..##..##..###...#####.##.###.#....#..#####...#.##.###.#.###.#.###..#...####.#..#######.#.#.#..#.##.#########.##.##.########....#.#..###.###...#.####...#.#.##.######.....#..#....##.....#.#.##.##.###..#.....#.#....##.#.#.#..##....#.##.##.....##.#..##..#..#..##.#.##.####.#.#..####..#..###...#....#####...#.##..#.##..##.###...##.......###.##..#......#.....#####..#.#.#..####..####...#....##.###.##......##....#.##...##...##..##.....###......##..##.##...##.#.#######.##....#.....#..####.#..##..#.##....#..#.#..#.##.#..#.##..###......###.#.#.#.#.##....###..######..#..##.##.#.....##.#.......######..##..##.#.######..####..##...#....###..#..#...#.##.....###.##.#..#..###..####.#.####..########.##...####.#..##.#.#..#.##.#...###...##.###.######..##.....###.###...#..#...#..#.#....###.#..##...#.#...#.####....###.#..#.#.....##......#.###.#.....##.####.######.###...#.#..#####.#.######..#....#..#.#.####.#..#.#..#.#####.#..##..#.##.#.####.##...###.#.###..##.#######.#####.##.#..##...#......##..##.#.#...#.###..######..####...####.###.##.###..###....#......#.##..#.#.##.###..##..##.#....##.##..#.####..#.#...#.#..#..#.####.##..###...#####...##.#.#.#..#....####.##.####..##....###.#####..##.#.###..#....##.###..#####.#..#######...#.##.##.###.#.####...#.#..##..#.#.#.#.##..#....#.#.##.##.#.#..##.##.####..#..####.###.###.#...###.#.##.####.#.###....#..#........###.#.##..##...##...#.##.###...#.#..#...#.#.#.#.##.#.###....#.#..##....##.#.#.#..#.....###.#..#..#..#.#.###.####.##..######.##.##..####...##....#.#.###..#.#.#..#..#..##.....#.###....#.#####...#.#.#...##.####.###..#...##..#.#..##.......###.#####.##..#..#..####.#...#...##..######.###.####.##..#..
..#.#.###.#.###.#..#.#.#.#..##.###.#.....#..#.####...#..#...###.#.#.#.######.###...#..#.##..#.######.#..#.#...##....#.##...#..#####...####.#.#.##..#.##.#..###.####..####.##.#.#..###..####.##.##.#.#####.#.#..#####..######....#####.#..##.#..#.#...#.#..##.###.#....#.#...##....#.##.#.#.###..#.####.####.##....##..#..##.#######....#.#####.#....###..##.#.#...#..#....#..#...#.......#.###.#...#..###..###...#...##.##..#...###..####..#.....####.#.###....#..##.....##.....##.###.#..#.#..#.#..###....#..##..###...#...#....#.#......####...#.....#.##.##....#..#####..#.#.#..#......##..##..##..###...#.#..####...#.###..######.#..#..######...#####.#.##..#.##..#.....##.##.#.##..#.#.#...#....#........#..######.###.##.#....#.##.##.#.#.########.##..#.#.......#..##..####.####...#####..#...#########.#...###.#####..#.##..##.#####.#.###..#.#.#..##....#.....##.#....###...##....##.......#...##..#.#.###..##.###...#..##.#.#.##......####.#.#..##...........#.###.#...##..#.##..#.#...##.#####.##.#.#.#.#.##.#...#..##.#..#.###.###..#......###.#.#######.##..##......#.#..###..##..####.##.....##.###.##.#...##...#..##.####.#....##..#..###....#.##.#....#####...###........####.##..#.#..#.####..#...##.#...##.#.....##.#....###......#.###.###..#####.##.#.#....###.#..#..#.####.#...#..####...#.##..###.#.#.##......###...##.....##..#..##..#.##.#.#....##.##...##.####.#...#...#.####...#.##.#....#.#.......##.##.#.##.####...#...#.#.##..###...##.######.#.####.#.....#.#####..#..###.#.#.##..#.#..##.#..##.#....##...###.###.#....##.#.#.#.#...##.####.##......##..#.#.#...##...##.#..#.#.#####.#.##..###..##....#.......#.#....#......#.##.#.###..#...####.#..#.##..#.#..#..####...#..##.##.#.##..#.#.#....##.##...#####..#..##.##.##.##.###.##.##.##.#######.##..#.##.######...#..##....#....##..#...#..#..##.....#.###.###.#..#...##.#..#..#.....#......##.###.#.#.##.#..##..###...##.###....##....#..#.####...#.#...##.#..##...#.....##.....#.#..#..###......#...#####...#.#..##...#.#####..#..#....#.##.##.#######..#.##..###.##..##.....###..###...###
#..##..####...##......##.###..###.#.##..##....#######.##...##..#......#.#..#.##.###.##.#.###..#..#...#.#####..####......##.####.##.##..##.#.##.#...##.#..#..#..##.##..###...###.#......###.#..#..####....##..##..###.#..###.####.#.#.#...#.#.#..##.##.#####.#...##.##..##.##...#......##.##.#..#....#.....###..##.#.###...####.##..#..#...##.######.##.#.##..#.#.#.#...###.#.#..#.#.####.....#.#.#..#...###.#.#.###..##.#..###.###.###..###...#..#.##...##.#..#.#.###.#...#.#.##.##..##.#.###....##..##....#.#..##..####....##.#..#.#..##.#..#.###...#.#.#.###..###.#.#......#..#.....#####...#..##..#.####..###...#.#.#.#.##..##.....#.##.##.#.###..#...##.#.##..#.#.#####.#...#.#.#......###.....#.....#..##..###...#..#.#...##...#.....#####.#.#..##.##.###..##.#.#..#...##...#...#.##..#.#...##.....###..###.#..#.####...#.#.###.#.#...#..###.....#..#.##.##...##.#..#...#.####.........#..#...#.#.#..###...#..##.###.###.......#.####....##..####.#...#.##...##..#####.#.#......#..##.#.###..##...#.#..##.##..#.##.##.#...##...###.#.##..###.....#.#..#...........###...##.#.##.###..##.##..###...####.#.#....##.##.#.#.#.###....##.#.##...##..######...###.###.####...###.##.##...##.#..##.#..###...#.###..#.##.#..#.#...#.#..##....#.###..##.#...#...#......#..##....##..#.#..#..#..##.#...#..#.##...##......#.###.#...######.##..#....#.###.####.#.#.#..#....#...##.#.####..#.#..###.#...#.##....#.##.##.#.#.#.###.###...###..#...###....####.####.########.#.#.##..#.##..##.####.......#..#..#.#..#..#.##....##...##.#.....#..#....#..###.#..#.#....#.#.....#..#.......##..#.##..######...#..#...........#.######....#...#.#.##..#.##...##.#.#...#.##...##.#.###.#..##...#.#..#.#.##..#..#.#####.#.##...#..#.#..####.#.##.#......###....###....#.....####.##....##...###.#.#.#####.##.#.#.#####.....#....#.....#.##...##..##..##..##..#.#####.##.#.##.....###...#.#...###.###..#...######..#..####.#.#.#...#.##..#.#..#.##.#.###.#.##.#####.#...#.######.#######.......####.###.##.###..#.##....##...#.##..#.#..##.##..#.#####..##.#.......#.######..#....#.###...##.##
.##.#.#..#####...##.#######..###......#.##.#...#...#..###.#.#.####.#.#.#.#...#..#...####....###..#.#...##......####.####...#.###....#.###...#..#....#.#.#....####..#.##..#####....#....#.##.#...#...#.#.#...#.########...##.#..#####....#....###.#....###..###...#..##.##.###.###..#.###.###..##.###..###...##....#...##.#...##...#.#.#.#.##.....##.##....#..#.##.#..#.....#..#.##.###....#..####.#####.#..#.##.##.#...##.####..###......#.##.#..#..#...###.###..###.##.###....######.###.#.#.#........#.#.#.#...#..##.#######.#####.#.##..#.#.####..##.###...##.###.##.#.####...###..####.#.##.#.#.#.##.##..####...##.##...###.#.#.##.....##..#.#.#..#.#.##...#..###..##.######..##......#.#.....#...#..#.#.####.#..##...#.#.#..#..#..#.####..#...#..########..###........#..####.##.#.##.###.######.#.....#.#..#.#.#...#.##......#...###.####...##.#####.######.#.#.##.##.#.##.#...####...##.....#####.##.###.#..#........##.#...#.#.#..##.#..##..###.#...##...#.......#..#..##.##...#...#......#....##..#....##.#......##...##.###....#..#..#....##..##........##.#.#.....##...#.#.....#..##.#####...#..##...#...#..#.#......#.#.###....#.###.#...##.#.####......#...#..##.#.#...###........#.##.#.####....####.##..##.#..##.##.......##.#...#...#...#.######....####...###.#.#.###########..####........###.####.##....#..#.######.######..#.......#..#.##.#.#....###.#.#..##.#..######..##.##..##......#...#...###..#.#.####.......##.##.##.##.#.#...#####.....######.###.......#....###.###.##...#...##..######....#####..#..#.###...#..#..##..##.#.##.###...#..##.####.#......#..#.#.##..#####.....###.##.##.#.......#####....#.##.##.##.#...........#.#.###.#.#..#....##....#...#.#.##.###.##.#.#..####..#....#.##.##.#..#.#...#..#..###.#.####....##.##.#.####.#..#.###..#####...#...###...####.##....#...#.#.#.##.##.#.###.##...#.###.....#.#.####.....#.##.##.#.#.#.##.#.#.##.#.######..###...#.##..###.####.#.#.......##..###...#...#.#.##..#.##......###.###.#......##.#..##...##.###.#.#.##....#.#######.####.#.##.#..#.##...#......###.#..###.#..#####.#.#####.##
.##......#..##....####.####.#...#.#....###..#.#.#.###....#.#.#......#.#....#..##..##...##...#####.##.##..#.###.#..#....#.#...#.#.##..#......##...####..##...#.#...##...#.#.##...#.#..#.##......###.#....##.#.#.....#.#.....###.#...#.#...######.#.###....####.#.##...#.####....#.##.#####..#.##.###.#..##.#....#####.###..#...#.#..###..#.##.#...#.##...#...##..##.##.###..#..##...#...##.###.....#.#.#..##.#..#..#.#..##..#######.####.#..#.#..#.#.####.##...###...####..##.##....##...##.###..#.#..#.#.##.##..##..##..#####...#.....#..#.##..#.....#.....##..##...#..##...#.#..#.....#.####.#..##.##.##.#....#.#####.#..#...#####.###.#.###.###...#.###.##.##.##..##.#.##..##..##..#########.####...######....#..##.....#####...##.#..###.#####.##..##.####.####..#.#.#...#..####.#####.####..#.##.#...###...##.#.#....####.##.#.....###.......#.#.#.##.#.###.##.#...######...####.#####.#..###.#......#####..#.##.##..##.....##....#..#.#.##.###.###.##....#.#.######.#.#..###...#.###......######.#####.#..#.#.#.#...#.#..##...##.....#####.###..##..#.##.##..###........#.###.#.#.###.##..##.###########....####.##.#..#..##...#####......#.##.##.#.##...##...##.###..#####......##..#..#...##.##..##...#.#..#..##.#####..#.#...#.###.#...##.##......####.#####.#..##...#.#.#.###.#.#...#..#.....#.##..#..#.####....#...#####..#...###.######..###.##..#..##..#.##.#.#..#.#........##..###...###..####..###...###..##....#.##.....##......#.#.###..#####.#.###.###.#..###.#..#...#....####..##.##..#.#.#..##..#.#..#......#.#.##...##.#...###.#.##.##.####...#.##..#..##.#.#####......#.#...##.#####.###..###.########.###..##.####.#..#.##..#...#####..#.##.#...####.#..#.##.#.#..#.....#.#..#.#.#.#.....###..###.###.#...#.#....#..##...#.###..#.#...#......##.##.##..##.#.#..#.....##.####....#.#.#...#.#.###.#.....#.####.#...#..#.##.#...####..###...#.##.####..#...#....#.#.#...###.#.#.#.###...#.##.#..#.##.#..#.######..#...####.###..#.#..##..##...#.#...########....##.#.###.##...##..#.#..#....##.###.#........##..#....##..###.##.#.##.....###..###.#......#...
#.##.###.#.###....##........##..###....#..#...##......#.##..#..#.#.#.###.#...#.##...#..######..####...#....#..#...##...#...##.####.#..#..##...#.#.#.#....#.##.#.######....#..##..###.#.#..#.......##....#...##.##.#...#.#...#####..#....##.#..#####..###...###..#.#.#.##.#...#..##.#........#.##.#...#####...#.#.#.#..######...##..##..#..#..#.#.#..#..###..##...#.#...#..#####.#.###.#.##...#..##.####.#####.###..##.#.##.##..####.#...#....#.###...####..#......##..#..#..####...#...##..#.####..###..#.#.###.#.####.##....####..#.#.#..#.#..#..#.####.#..#.##..##.##.###...#....###.#..###...#####.#....##....#.##..#.#.#####.###..###......##.#..#..##.#.##.#..##...##..######..#..##...##.......##..##.###.##.#..#.....##.##.#.##.##..####....#....#####.###.#.#..####.###.###....#..####.##.###.#....#.#..#.#.#####..#.#.#.#..#...#.##.#....###..####..###.#.#...###.....#...#.#.##..#.####.#.##...##.#.##.##....##.##.##....#..#....#.##....##..######.##.###..#.#.#.##.#.#.#..#...##.#.#.##.#.#..#.#.###.##......#...##.##...#..####..#.###....#.#..#..#.#...#############..#.#..##...#..###..###.###.#.#.#.#.....##...###.###..###..........#.#.#.#.###.#.###.#..##..#..##.#..#....###..#.#....##..#...##....#.#..#.#.#.....#.##.#.##..##.####.###.#........###.#.#..#...##..####.###..#.#.#.##.#.#..#.#....##.###.#.#...#.###....#.#....###.#.####...#...#..####.#.#...#.##.#.#....#.......##........####..#..####.##.#...##..###.#.#..#.#.#..#.##..###....#.##..#.#.#....#.##.##.#..#.#.###.#....###.####..####...###....#.###....#####.....#.#..##..##...#.#....##.##.#.#....#.##.#...##..##...#.#.##.#.#.#.##...###..#.#..#....###..........#.###.#..##..#.#.#.#..#.#.######...##.##.#.#.#.#...#.#..####.#......####..##..#.#.#.#..##...#########..#.#.#..#..#.....##.#.....#.###.#...##.###.##.#..#..#..#.#.##..##.##.##..###......##...#.#..#...##....#........#.....###.######...#..#..#...#####.####.#.......##.#.##...###..##..#.....#.##...#...##.#######.....###...##....##.#......##........####..#.#...#..###.###.#.#...#####.##..##...###..##.#....####..
...#.#.....####.####.#..#####.#..##.######.##.#.#.###.###.#.###.#..#.##..#.##.#.#####......##...#..#....#.##...##......#..#..##.##..#..#.#.....#.####....#..##..###.#...#.##.###.####.#.#.#..#..#.#....##..#.#....#.#..#...#..#.###..##.#..#...#..##.##......#.#..####.##.##.#.#...#.#.##.##..#...####.##.#.#.#..#.#..###...#########..#.##.##..#.##.#....#.##..###.###.#..#.##...#.#..#....#.#......#.#....#.#.#..#...###.##.#.#......#...#.....##.##.####.....##.#.#..#..##.###.##.####.#.##.##.####.#...###.#..#..#.##..##.#..###.#..##.#.....#...#.#.#...#.#.#.###.#.#.##.##.#.#.##.....###.#..##.....##..#.#..#.#.#...#.#.#...#..#....####.#..##.#...###...#..##.#......#.....##.##.....##.#####.###.#######.#....#....#..#####.##...###.###.....###........####.###..##.###.#..#.#....###..#.####.#.#.#....###..#.##.##..##..#.##.##.....#.....#.######.##...#.####..#.###.#.#.#.#......####..#....########...####.#...#....#.#.....#.#..#...#...####...####..#.#..#..##.###..###..#.##.##.#..##.###.#..#.##.##.#.#.##.#.#..#.##...#..###..#..###..#####.#..#..###.#.#.#.#..#.##.#..###..##.#..#.#####..#.#.###...#.#.##.##.###...#....#.#.##..#.#...###..#.##.##.########.#.##.....#..###.####....##.#..#.#....##....####...###.#.##..#.##...###...#.#..##......#..###.#.####..#.##.#..#########.##......######..##......##.....##.#.##..###.#.##.....#.#.###...####.##.....####.##....#.#.....#.#.#..####.##..######....#.##..#..##..##.#..#..######.#.##..#.........###.###.#.#..####.#...##..#.####........##.##.#..#..#####.#######....#.###.####.####..##.........#.######.#.#.##.####.####.##..##..#....######..##.#.#####.#..###...##..##.#.........##..#####.##.#..#.#.....##..#....##....#.####.#..#.#...#..#.#...####.#..#.#.#.#..#..##.##..#####..#..#.#.#...##.##..######..##......#.#......#####.###.#....##....#####.#####.#..###........###.#.#..#...#.###.#....##.#..##.##.#.###..#.#..##...#.#.#..#...#.#.#.#.....#..#..#.#########.#.###..#..#.####.###..###.##..#.#..###.##..##.#.#..###.###..#.#.##.#.###..#..#.#.#..##.##.#####.###.#.#...#..##.....
..#.#..###.##.##.#.....#...#.##..#....##.##..####......#.#...#.#.#.##.#.#.###.#.##....#..#.##.#...##..######.#...######.#.#.####.####...#####....###.#######...#.#.####.....#..##.##...####...#..###..##.#####...##.##.###..#######..#.##..#.##.#.#..#####..####..#...#####.#.#....#####.#.##..##...##.#.####..##.#.#####.##.###....###.#...#..#...###.##..#.......##.....##..#.#####....###.##...#.#.#....##...##.##.##.........#.....#.#.....#####.##.##..#.#.....#.##.......##.....#.#####.##....#..##.#.######.###.###.#..#...#...###.##.#..#...##...#####.#..#.#.#.###..######...#....####..#.##.###.#.##.#.#.#..###.#.#.##.#.#....###.##..#..#.#.##...#.##....####.#.#.....#...###..####.#.#...##...#####....##....##....#.#..#..#...##....####..#####..#....##.#......#..#...#...#..#.######.#..##..##.#..######...#.###.....#.#....#.#..#.#.#..#.#..#.#.#..#..#.....#..#..##....#....#...####.....##.#.#.#.##...#....##....#.####.##.#..##...##.###.#..#.##.####..##.##.#.#.##.....#...#####...##.##..#..#.#.#..#####...#.##.#.###..#.##.#..#...#.##..#....#####..#...##..####...#.....#.....#####.##.#..#..#..#.#####.##.##...#.####.##...###.#..#.#..##...#####..##.......#..###.#.#...#.#...#...##..##..###...#....#.#...##..#..#....###..#...#..##..####........#..##..####.######.#..#.#..##.#.#.##.#.##....#.##..#.....#####.#..#######.....#.#.#..###....###.#.#.#......###......#.#..##.##..###.###.#.###...####.##.##.#.##..#....#.##.#.###.#..#.##.#..#....#.##...#.....#..###..###...##..#....#.#.#.###.#.#..#...###....###.##....#..######.####.##..#..###..##.......#....#..#...#..#.#.#.###..#..#..#.####.##.##....##.##..#.#..#####.#..##.#...#######.##..####....##.#..........#.#.#######...#..##...######...#.#..##.#..##..###..#####..###.#..#####.##.....#.#.##.#..##...#..#.####..#.###.#..#.#..#..#.#.#####.##.#..#.#..##...###..#..####...#.....#..#.##......#..#.#.##.####.#.#.###.##.#..##...###.##..##.#.###....###...#....#.######..#.#.#.##.#...####....#.##.###..##...##..#.#....##..##..###..###....#..####.#####......#......#..###..#.##
#####.#.#######..##.#.#..#..#...#.#.##..##.#.#.##.#...###...####.#####...####...####..#######.#.##....#..#.#..###.####.#..#...##..####....#..#####.####......#..##.##..#....###.##.##.#.##..#..#.#..###.##.#..#####..##.#.###.#.#######.........###..##....#...##..##...###.....##.##.##.#....##.#.###.#..#.###.#.#.#..#....#.##.###.##..#.##..###....####.#..#.....##.#.....#.###.....#####.#..####.####.#.#..##.#...##.##.#.#.#....##.#...#####...#.#######..##..#....##..........#...........##.#.#.##.##..###.#.##..##...#.####..##..###..##.###.#..######.####..###...##.####...##.#####.##.###.#..#.###.####...###.##..##.#.####..#.#.##.##.###.##.##...##.#####...###.#..##.#...##.#.##.####....#..###.....#.#####..##..#.#.....##.#.#.##.##....####..##.###.#.#..####.##..##.#.#....#.#.#...#.#.##..#.###...#.###...####.#..##..#..#.#.#...##..##.#######.....##.##.#.#.#.###.#.#.####.....#######..###....#####......##...#..#....##.#.##..#..######.#..####.#..#..###.#####..#.#.#..#.#.#......#...#####..###..##..#...##.#.#...##...##.##.#####...##......##......#..####.#..#.#.....###..#.#####..##.##..#........#..##.#..#..#.#...#.#...##.#..#..#.##.#.#....##.##.#....##..#...#...#########.#..#...##.....##.#####.#...#....###...###...#..#....#.##.#.#..#..#.##.#....##....#.#..##.##..####...##...###.#..#.#...#..##.####.....#..###..#####...##.#..###.##.#.#.......#....#...#..###..####..#.....###.#...#..#..##.####.####.##...#.###.#...##.#....#....#..####..##.##.##..#.##..####.###...##.##..####.#..###.#.#...##.#.##...##.##.#....##.#.###..#..##.##.######..#...###..##.#.###...#.###.#####...##..###....##..#.#####.######.###.#..##.####.#...#.#.....#....#..##.##..#.#.##.##.#.#.#.#.#.####.#.#...###.#.###.....#.###.##..#..#.#####.######...#####...#.##..#.....#.#####...##....#####.###....##.####...##..###.#####....##..###.#...###..#.#.##..##.###.###....####......###.##..#.##..##.##..##.##.#..#..#.#...##..#.#..#..##..#..##..###...#.##...#...#..#.##...###..##..##.#...######....###...###.###.#..#.#.#.########..#.###...###.#.#.#
###.###.....#.####.###.#.##.#....###.##.#.###.......######.###.#.#..###.#.###.#.#.#...###..#####.......#.#...##....#...#.#.....#..#.#.###.####...####..#..#..#.##.#.#..###..##.##...#..#.###.#####.######..###.#...##.###..#.##..#.##.#.#..##.##.###....#....#.#.#...#.#......######.##..#..##.....#..#.......###..#.###..##..##.##..#..#..##.#.######.....#.#...##..#.#..#.#...#..#####...#..#.##....####...#.#..#.#..###..#.##.#####.#....#.#.#.###.#....#.......##.####.#####.......#.##.....###..##.#..#.###.#..##...#######.#....#...#.........#...#.######....#.#.#########..#..####.......##.###.#.####.##..##.#.###.#.##.#.#####.......#.#..#.#..##.#.##..#.#..#.#####.##.##.#.##..#..#.#######.####...#.#..####.##.#.#.####...#..#.#.....###.#.#.#.###.####..###..##..##...#..####.#...###..##.###.#.#...#.#.#.......#....#.######...#...#.#..#..#..##.#.#.#.#......#..#...#..#.######.##.....#.#.#.####.#.......#.##.#..#..##.#.###.....######.#.#.#.#.#.#.##.....#..#.##.##..#....###..#.#.##.##...##.#....#..#.#..###...#.#.###.###..#..#...#.#.#####....####..#.##.#..##...#..##.#.###.####....##..#...#.##.####...##..#.#.#.#......####.####...#..###.##.###..###....###.##.#..###....#.#...####.#..####.#.####....#..#####.#...#.....####.##..#.#...###...#..##..#....##.##.####...#...#..##.##..#.##.#.#...##.##.#.#.##.##.#######.##....##..#.#####.#.#.###.#####.#.#.##.#..####.##.....##.#.##..#.#..#..#####.#..###.##..#####.#.....#...##.###...#........#.#.#...#.#.###...#.#.###.#..##.##.###.#......#.##...#....#..##..####..#.###.#..#.##.##..#.######.##.#...###.##.#####...###.##.##.##..##.###.##..#.#......#.....###.#.....#..#..##...###..#....#.###.#...####.#.#.......#####.#.#.##...#...##..#..##.#...#..######...#..#####..#.#.#..####..#....##.##..##.##.#.####..#.....#.#.#.##.###...##..#..###.#.##.#..###.##....#...#.######.##...#.#....###..####..#.....##.#..##....#....#####.##..###..#..#.#..#####.####..#.#....###..####.####.####.#....##..#.#..#..#...#.#....#..#.#.#..#..###.......#.###..#..#..#.####...#####..###..##...#...#.#.
####....##...##.#..###..#.#...#.#####.............####...###.#.##..####..#..###...#..##...##.#.....####.###...#...###.##..#.....#.####..#.###..#.#.#.####.#...##.##..#.##..#.##...#.##.##....##...###..#.......#..#.####..#.#.#.##.#.#..##..##..#..#..##..#..#.#.#..#.###...####.#.##...###.##...#..####.#.#..#.#.##.###.######.###.#.....##.#.#.###....#..#...#####..#..##...#..#..####...##.####.###...##.#...##.....###.#.#.#..##.#...#.#.#.#.###.##.#.###.#....##...#####..##.####.#.###.....#.##....###.........#..#...#.#.#.##.#####....#.#..........#..##...##.#.##...##.....#..##..##..##.#...##.####.###.####....#.#.###....#.##.#.#...##.###..##...###..#.##..##..........##...#############.####..##.##..###.#.#..#..##.#.######.#.####.##.##.##..###...#..###..#..#.###...#..#..#...###...####..#..#.#.##..#..###...#.#.####.#.#####....#..#...##.....#...#.#.#.#..##.#....###..######...#.###..##...##.#...#.###.#...#...##.##....#.##.#..#.###.##.#..#....####.....###.......#.#.##..####..###.#...#.#..###....###..#..#..#...#..##.##...####.##.#...#......#...##..##..##..#.....#..###.###.#####.#####...##.##......###...#...#...#..##..####.#.#.###...#.#......#..##.#####.#.....####..#....#..##.#.##.#..##..##..###...##..#.####.#....###..#.....#.....########.....##..#..#..##.##..#...###..#.#.....###.###.#.#..#.#..##.#..#####.#.#......#..#.#...##..##...##...#.#...###.###...#.#.....#######.#..###..###.##.###.####...##..######.#....####.#.....#....#...####...####..#.#.#.##..#######.#.#.#...##..#.##...#######..###.#.....#...###...#...####.#.#.####...#..#...##########.#.#....#.#....##.......######.#..##.##.##..####.##.#.#.#..##.###.###...##.#.##...##..#####.#....###.#...####.##...#.##...#....#.#..###..####......###.##.#..####.#..#...#..##...#..####.##.#.##.##.##..#...#.##.####.#.#.##.#.###.#..#.#.#.####..#.##.##..#....#......#...#.####..#....###.##...#...#########.####.#...####.##.##..#.#####.#.#.##.###.#.#.###.###..####..##.#.#..#.##......##.###...#####..##.##..###...######.#.###.#..#.....#.#..#..#.####.###.##.#
#..##.###.###.###..#.#.#.##...#..#.####.....#..##..##.#..#..###....###...######.#.###..##.##..#.##.####.##..#.##..###.##..#.##.#.#####.....###....##..###.#.##.####.##.##..#.##.#..#####.#..#.###.##..#.#..#...#######.#####.#...#.##........#.....#.#....#.##....##.#####.###...##..#...#.###..##.##.#..#.###.#..#..###........##.##..##..........######.....#..##.#.##.#.##...###.....#...##.#.#.#..##.#..#..##..#######..#.#.#.###.##.#.#...#.#.##.##.##.....##...#.##.#.#.#..##.####..##.#.#..##.#.###..##...###.#.###....####..##.....#..#...#.####...###..........#.##...##.###..#...#.#.##....##..#....#...##....#.##.####.#######.##..###..########.#.#.###...###...#.#.###..#..##.#.#.#.#.##....#..#...####..#.#...#..##.#.##.#....####.######.#...###....##.#.....#.###...#....###.##..#..###.#.####.#.....#.#.#######..##.#..#..##..##.##..##..##..#........#...###.#.##.....#.....#....#..##...#.#.....#.#.#.#..#...#.#...##.##.#...#.#..#.#..####......#.###.##.#...#..#####.#.....#.##...##.##.#......##..###..#...#.##.##.#.####......#...#.#.#....####...###...#.#.#.#.....####.#..#..####.########.....#..##..##.......#.##.#....#...##..#####...##..#.##.#..#.....##.#...#.#..#..###.#.#.###.#.#..##..#...#.#.####.##.#.#..#.#.##..##.###.##.##....##...##..##...####...##....#.######.#..#.#####.##...##...#.#####..#######....#....##..#.##..##.#.##.########..#.#######...#.#.####..#....#.###.#.##..###..#..##..###..#..####..#...#.##..#..##....##.#.######..####.##....##.#..#.#.######.#.####..##.#.##..#...####.#.#.###..##..##..##.....##.#..#..###..##.#.#...#..###.#.#..#.####..#.#..#...##..#..##..#...#..#...#..##.##.#..#.##..#..#..........###.##...#.#.#.....#.#...##.##.#.####.#..####.###.##...#..#.#.##..#.###..###...##.##.####..#.##..###.##.###...##.##########..##.####..##...#...###.##.###.##.#.###.##.#.##.#....##....#..#.##.##..#####.#..##.#...##.#..#..###..#.#.####.#.##..#.#####.###.#.#.#......##.#..#.#..###..#.#..##...##.##.##....##..#.###.#..######...##..#.##...##.##...###.#..##.....#...##.#.####.##..###...###....##
....#.##.#.######...#..#..#.#...######.#...##.#.##....#.##..#.#......#.####.#..#######.##........###.##..#.##.#..#.######..####.....##.##.#.#.#.######.#..##.....#.#.#..#...###..#.#.#######.#.###..###...##.###.##.#.#..##..####..##.##....#....#.#..#.##.#####..##.#....###.....#....##..#.#.###......#...##.##...##.#.##.##.##..##.#..###.##...###.##.#.#..#..#......#..#..##.#...#.#....##...#..#.#.#....##.#..######...#####...#..#..#.###.###...##...##....###...#...#.####....###.###.#..##.#.##..#########....#.###....#...###...#.###..###.####..#....##.#..##..#...#...#.########...###.#..#.#.##.##..###.####..###..#....#.#..#.#..##..##.#..#..#.##.##.#.......##..#...#....#.##.#.##....####..#..##..#..#########...#.##.##....#.##..##.####.###..#.#####.#...#.##...####.##..#.##.#..####.##..##.#.##.#...##..#...#.#.###.###.#.#####..#.#.#.#.#.#..#.....#...#...#########..##....###.####.##..#.####.##..#.#..#...##.##....#....###.##.##.####..##....#.#..#...#..#......###.##.########.####....######....#.##.###..##..###.#.##..#...#####.#...##.##.#..##.###.....##..#####.#....###.##...#.###.#..##.#.#..#.#...#..#.#..#.###.#######.....###...#######..#....#.#......#.###.#.#.#.#.##.###.##.###......#####..#####.#...####.##.#####....#....#..#.###.....##..###.##...#.#...#..#.#.#....#.#.#...#.#.#####.####......##.#...#.#.#.#...#..#.#.#...#..##.#...#.##.....#...##.#.#..##.....#.####....###..#.##.##...#.#..#...###.#..#...###.###..####.##.####....#####.##..###...###.#..#.###..#.####..##.#.#..#.##.##....###.##.##....##..##.#.###..#.#.##.#....#.#####.#...#..###.####....##.#.#....#...#.#####...#........#.######......###..#.##.#####.......####............#.....##.##.#.##..###.#.#.##.#.#.#..##..#...#..####..#.##.##...##.#...###..#..#..#...#####...####..#.#.####.#.#.....###...#..#.#.###..##.#.#.#.#.#.##.....####.###...#...#.#....#.#..###...#....###...##..#.##..##...##.#.#.#.##.#..#..#.#..#.#####..#.#..##..##....#..##..###....#..#####..#...#...###.####..##..###..#######.##..#.##..........###.##....#.#..#.#...####...
..##.....#...#.####..####..##........##...####.####.....##.#.#.##..##...#.#....##..##..#.##.##.....###.....###.#.#.#.#......#.##...#....##..###..#.##.##.##.##.#.#.###.#....#...#..##..####......###.#..#..#.#.##.#####.##..#.##.##.#.#.#.#.###.####...#.....#.###.#.##.##.#.####..##.###.##.#...####.#.####.###.##.##.####..###.....###.#..##.#####.###....#.#....#.#..#.##.#.##.###....#.#.......#.##...#..#.#..#.##..#..##.#..#..#.#.######.#....##.#######....##.#..######.##..#####...#.#.####..###...##.#..#.#..#####.#.....##..#..#.##.###..#....#...#....##..#..#....####...#.#....#.#.###.###..######.##.#..#.....###.##.##.#.#.#.##...##.###.##.....##....#..#..##..#..###.....#.##..##..#..##..##..##.#..#..#...#..###...#...#...#...##.#..#.###.#.##..##.#.##....#..#####.##..#..##..#.##.##.##.#....#..##....#..##.##.#...###...#.#.#.#..##..##.#.#.###.#.#....#..##....##.#..#.......####.#.#..#.####.##..#########.#...#.#...#.##.##...##..#.#..#..####.##.#..#.####.####.......###....#...###...#.#.###.###..#.##.....#..###.#.#....####.##.#.#.####.###.####.####.##.###..###...#...##...##.#....#....##.###.#.#..#.###.###.#.#.#.######...####.##.##...##...#.#.###..#..#..###...#.###.#.....##.##....###.##.#..##.##.....##..#..##....#.###.###.#...#.#...#...##..#####..#.#.#..#..##.#.#...#.#..#..#.####.#....####..##....#...#.....#.......#.###...###.#.#.#####....#######.##.####...#....###..###.##.##.#.####.#.#.#...###..###.###.....##...##..######.#.#..###.....####...#.#.#####....#..##..#...#####....#...##..##.#...##.#...#...#...#.....#.###...###..##.....###.#...........#.#..#..###.#.##.#.####..######..##.#..........#.#....##..#.#.#.##.#.##.##.#..#...###.#.##..#..#.##.#..#...#..##...######...#####.#..####.......#..##..#.#.##..#.##.##.###..#....#.#...##.##..#.....#.##..#.#.####.#.#####.#.#..##.....#..#.##.#.#.#.#.#..####....##..#.#..##....#.#...###....#.#.....#.#.#.#.###....#...###.##.#.###..#.#..#...#......##...##..##......#..#.........#.###.#....#.###.#.##.#.#..##.##..###.##.#.#..#.....####.##......#..###..#..#.
##.#.#..##.#.#.###..##...#..###.#.####.#.##..#.####.##....#.#..#.#..##.#.#.....#....#####..###..######..#.#.###...#.#..##.#..######..####....#....#..#####.......#..#..#######....#...#.###....#.##..###.#......#.###.##..######.....#.##.###...#.#...#.#.#....#..#.#....#.##.#...#.#..#..#.#.###...#.##..#.....#....#.....#.###.#.#.#..##.######..##.#####.###.#####.#.#.###.#.##.#.####.#..###..#...#....##.##.#.##..#####...##......#.###.#....##.#.#..#...#####.###..##..#.....#####.#....#...###.#..####..###...#..######..#.##.........###.#....##.##.#..##.#.####.##.####..#.##...##...##...#.....#.##..#...###.#.##.#.##.#####....#...#.#..#.#..#.##...##.####.##...#..#####.#..#.###.#.##.##.#.#..#.####..##..###...#.#....###.####.##.#.....#####.#.#.#..#..####...#.#.#....#####..#.....##....##..#.#..##.###....#.##..#.....#.#.##.##.##..#..#.#.##..#####.#.###.##.#..#..#..#....#.#.....#....####.#......#.#.#.#..##.##....##.#.###.#.##...#.#..#..###.####.##.....#....#..###..##########.....###.#.##..#.#.####.##..##.....##...#...#...#######..##.#...##.####.#.####...#.##..#..##.#..#.##.######...####.#.....#.#..##.#..#...#...#..#.##..#####.##..#..#.....##.#.#..#####....##.##.#..#.####.##.#######.#.###.####..#.##..#..###..#.###.#...##.##....#.#..#....#####.#.###.####......###....#..#####.#.####...#.#...##....#...#..##.##.#.##.##.##...#.#.##.#...#..#..#.#####..#..#.##..##...#.##.#..#.....#.#.##.###.#...##.#..#...#.#######.#.###.###..#.#.#....##..###.......#....#...##..#.###.#..#####.###.#......##.###......####.#######.#.##....##.###...##.#.#.#....##......##..#..#.....#####..##.#.#....#########.#.#..####.##.#..###..#.##.#.#..###..###.##.###...#.#..##...##.#.###.#..#.###.##....#...#.#..#####..#.#...#.##.#####.#.##..###..###..........#.##.#..####..##.#..###.#.#...###..#..#..#..#..#...####.#.##..####.###.#....##..#.###.###.#..###.######.#.#.#.#...#######.....#......######..###.##..#......##.#.###.#...###......#.###.##.#.#####..###.#..#.#..#..##...#.#....###....##...#.#.####.#.....###########..######.#.#..#
...#..##.....##.#..##.##..#.#..####.....##.#...###.##.#.###..#.#.##..#.#..#.##.###..#...#...#.##.####.#...#...#.######.#.##...##.##.......#..##.####.####.####..#.####.#.#...#.......#####.##....#.###......#.#.####.##.###..#...###.##.#.####..####...#...##.#.##....###.##.###.##.##..####.####..#......#..####.#.#..##...#..#..#..#.#.##.##...##..#.##...###..#..#...####..##....#.##.##.......##.#.##..##.#....#.###....#..#.##.#..##...##...#.#..#..#..#..####..#.#.#.##....#..#..###.#....####..##.#....#..#.#...#.#..#..#..........##..##..#....##..##.#...##..##..###....##...#.#.#.####....##....######..#..#.#....##..#..#.#...#.#.#.#####..##....###..######.##.##...#.###..##..#.....##..#####.#.....##..#..#.###.##......###..#..#....#######....###...#..#.####.###.......####..#.#...##...........##.#..#.##.##.###..#.#.#.#..#..#.##.##...##..##.#..#.#.##.#..#....##......#.#.#.#.#..##...#####..##.##...#.#.#...#...#..#.#.#.#..##..#..##.####.#.#.####.....#..##...#....#..###.###.##.#.##.####.##..#.######.#####.#.#.###..#.##...##..#####...#####...###.###......###.###.##.#.#.####.#..##.#...######.#..####..####..####.###..#####.##..#........#####...#..#.#.####...####..#..#.##..####.##.#...#######.#.#.####.#....###.##.##.###......#.###..###...##.##...#...##..##.#..#.#....##.#.#..#.#.#....####...##..#.####..#...##.#.##..####..###.#.....#.##.#..#..###.#.#.#....#.##..#.##.##..#...#..#..#######.#..#..#.#.###...#..###..###.#.#.#.#.#.#.##....###...#.#.#####.#..###.####.#..####....##.##.###.#.#.##.####....#.#......#.#.#.##..#.#..###.#...##.#.#...#.##.###.#...##...#.##.###...##..###.##.#.#.##..#.######.##.#...#..#....#.##.####.....#...##.######..#.#.###..#........##..###...##...#.##.####.#......###.###.###.#..#.##.#.#.#...####....##.#####.#######.##..#...#.#.#...####.#####.#...#..##.##.##.#..#.#...#.....#..###...#......#.####.#.##.##..#.###.#####...###.#..##.###.......#.#...#.#.#.##..##.#.....#.####....#.#####.##.##..#......#..#..##.#..##.##.##.####.####.###.#.#........#.#..###....##..#...#.#.###..#.#.#.#
..##..#..#.###.#.........##.##.#...#...###..##....#.####.###...###..#.##..#.####...#...##.#....##..#..#...###.#..###...#.#.###.#...##.....######..##.#....##...####.##...#.#...#####....#..#.#.###........#.#..#..##..#..#.#.#.#.#.#.###########.##..###......#..#.##..#.#.#..##...#.##..##.#.#..#####.#.###.#.##.#####....##....##.....#.###..###..##.###.#####....###.#.##..#.#....###..######.#####.#.##.##..#.#.##.###..##.........##.#.#....##.##.#........#.#..#.##.#...#.##.##.#.##..###.##.##.###.###...##..#.##......#.###.####..#.#..#...#.###..#.....##..###.#.#.####..#######.###...###..##.#..##.#.#..#..#.######.#.###..#.####.###.###.#####..######..##...##.##..#...#.###..#.#.###....#..###.#...##.#..####..#....#.#.#....#..##...###.#.#.###.#.##.###.#.#.##.#..###..###..##..#.#...##....#.###.#.##..##.##.#...#.#.####.#.....###.....##.##.#..##..####..###...##.##.#..#.....##...#.####.##.#####.##.#....###..##.##.##.....#####.##.#.###.#.###..#...#..#...##..##.#..#.####...##.#####..##.##..##..#.###..###.#..#....#..##.###.###.#..#####.###.#..#.#..##..#.#.##.###..#...##.####..###.###..#####.#..##.#..##....##.#####...#....#.........#.#.#####.#......##....#######.#.####.##..#......######.#..##..#.##.####.#....#..##..#.....##.####...#.#...#..##..####.#####.##..##....#....##.#....#..###....#.#..#..#.#..#.###...####.##...#..#.##.###...#.#.##.#.###...#......#.#.#.####.#..#.##..#...###..#..###.#.##..##.##..#...#....#..##.##.##.#....##..##.##.##.#...###..##...#.#....#.##..###.#.....##.#..#.#....##..##.##..####.....##..#...##.#..##.#.#..###..##.#.....#..#..###.###.##.#...#..#...##.##.#.#..#...###.##.###.........##...#.#...###.....#.#.#.#.#..###..#..##....##...###..###.#....##..##.#####.##.#.#.####.#.#####..#.#..##.#....#..###.#..#.#.#.###.#######.#..####...###...#.##...#....#.##......##..####..#####..#..#......##..##...#...#.#.#...#..##..#.#.##.#...#....###......###..##.#.#...#.#...####..#..#.#####.##.###.##....#.##.#..###..#...#####.....#..##....##.##.#.#.#..####....#..#.##..#.######.#....###..##.#
..##.#....#..#...#.##.#..#.#.############.#.#...#.#..##.##...#####..#.###...###.##.#.##.#..#...#.###.###..##.##.#.#.#.......##.#....##.#.#..#######.###.###.###...#.......#..#...###.##........###.######..###..#..#..#..#..#.#..#..##.#.#...##.##..#..#.#####..#...###....###...#.###.#..########..##...##.##.#.....##.#....##.#..####..##.##.####.####....###..#.#..#.#...#......###..###..##.#.#.....#.....##........########....#.##.#.#####.###.#.#####.#.##.#..#.#.#..#####..#.#.##..#...#..#..##..#.#..#.##.#....#.##.###..#...##.#.#.#..##.#...#..#.###.##..#.##.#.#.#.....#.###.#.#.#....###.##....###.#.#...#....##..#.#.###......###..#.##.####......#..##...#######.#.#.#....##....#.##.#.###...##..#..##.##.#..##.#......##...#.####.##.##.#..#....#...##...#.###..##...###..##.#..#.#...##..#.#..#...##....#.#.####.##....#.#.#...###..#..##.####.##.##.#..#.#.#.#######.####..#..###..#.....#.#.###...##.##..#..#.......#....###..####...####..###.##....##.....###......##..#.#######.##.#######...#...#.#...#.#..#.#.#.###.#..###.#.##.#..##...#.#.#####.#.##.####..#.##..#.###..#..##.#..#.#.#.##...#.#.##.#..##....#######..#.####.##..#.#..#..####..##.#..###.##...#.....##.##.###.#..#.#...###.#..#..#.####..#.####.#.#.######....##.#.#.....##..#.##..#.##.##.##.##.#.###.#.#.#.##.#....###.##....#..#..##.#...###.###..###.#.....#...#.#.###..##.....#...#..####.####.#...#...#.#...####...#.....#.#####..#..#.#.#..#....#..#.#...###...##.#.##.##.#.######.#..##..##...###.##..#..#.....#.#..##...#..##.####.#.#.##.###....#....#.##..##.#.#...#...###.##.#..#....##...###...#..#..#.#.##..###..#..##..#...#..#.#..#.##..###..###.#..#.#.###.#...####.#...#..#...#..###..##.#..#.###..####.###..##.#..#.#......##.#..#...#.....######.##..##..#...########.#..##..#.#.###....#####.#######.##.#..##.###.#..##.#.#...#.##.#..#..#.#.#######.....#.####..###....#...#...##.##....#..##..##.#.####.######...#.#.....##.##.###...##.#...######..#.##.##....##..#...##...#########.#.....##......#.#.#.##.###...#..###..###.##.....##....#.##.#...#.#.#.##...
.##.#######..#..#.#.#..#.....##.####.##.#....#.#.#.#.##.##.#.##...#..#.#..##.#.##...##..####..#..#.#....#.....##..#.###.##...#####.#..#....#.#....##...##.#.###.#.##.#.#.#.....###.##.#......####.#.##.##.##.#..###..#..##.....#.##...##.#..######....#.###.##..#..######.#####.##..###...##...##...###...###..#....#..##.##..##.##.#....####..#.#.....#.###.###...#.#..#.#...###.#.#...###.....#...###.####..#.#.#..######.##.##.##.#.#.#....###.....#..#.#.##....#..#..###.#.#.#.#.#.##..#.#.....#.###..#..#...##.###..##....###.#.#.#..#.#.##..#.#..##..##..####.#..###..##.......#......#.#.#..#.####...####...#.##....##.#..#.#.#..####.###.##.#.##.....##.#......#.#.###.#.##########.##...#.......#.##.#.###...#.###.....#.#.#.#...#.##..###..#..#.#.#.......###..#...#....##..##..##..####...#.###.#...#.####.#..#####..###..#.###..##....#.##.#..##.#.#..###...#....#.#.#..#.#######...####.#....##.#.....##...##...###..####.###.#####..###.##.##.####.#.##.#.##..#####........######..#.######..#.#.##.##...##..###...#.#####.#.#.#..#.######....###.#..###.###..#.#.##..#..#.##.####.####...###.#..........######..#####.###......#.###.#.#..#....##..####.##...#....#..##.###..###..#.##...#.###.#...####......#..#..###...#..##.#.#.#####.##.##...#..##..##.#####.###.....##.#...#....#..#.#...####...#.#.#.#.######...#.#..##..#...###..##.#.#....#.##..#....#..##.#..###.##..##.###..##....###.###.###.####.#...###.#.##...##..##..#.###..###...#...##.#.##.#.#.#....##.#.#..###....##.#.###..##.##.###.##....#.#....##.#...####..##.#.#...#..#.#...#..####..###.##.##.#####.####.#.#.....##..###...##..#.#.#########..#.###.##..##..###.#..#.#....###..##..##.#....#####......#..#..##.#.###..##..#.##.#.#.####..#..##.##.###..##.###.##.#.#..#####.#.##..#.#.###.#.#.#..###...########....##..#.#####..#.#.#....#####.######..#.#....####.#..######..#..#.#.#...###.#..##.#####...##.#####.##...##....##.#.######...##.#.####..##.#...#....#.#.###.#..####..#..#.##.##..###.###.##.#.###...##.#########.##.#.#.####....#####.####.##.......###.#..#.#..##.###.
#.#...#.####.#.#.........##..##.#.#.#...##.#...###.#...#.##......##.#..#..#.##.####....#.#.#..###...###...#.#.....##.#....#.####...#.#.#..##...###.#..#..#.#####.#..#...#.#.####..#.#.###...#.#####...#....##.##...###..#.#.#..#...##...##..###.##.#...#.##..#..##..####..###.##.#.#.#.#...####..#.#.###.####.##.#..#.#.#.#.#.###.##.....#..#..#.###.....##...#...##.#..#.#....#.....#..#..#.....##.####.#..##..#..#.#.#.##.#..##.#.#..##.###.#...#..####...##.#.##..#...........##.#...#.####.#.#####...#.#.##..#.#####..##..##.#.##.....#.##.##..#.##########..######..#..#.##...####.#.###.#.#..##....#...##.#.....#...#.##.#..#..#.#.#.#...#..#.#....#..###..#..##..#....#.####.##...###..#.###.#..#.#..#..#.#...#.##..##......#..##...#.....#.#..##....#......###.###.###.#.#..##.####......#.####.#.##.####..#.#...##..#.##.#.#...##..##....#.#####.#..##.#.##.#.#####..##.##..#.#.#.##......####.##.#..###....#.#.#..#######.####.....#..#.####.#...###.#...#.#......#.##.###.#.#.#.###...#...#.###..####...##.#..###.#.###..##.#######.#..###......#.##.###.#####...#.#####..#########...###..###.#.##.#....#.....######.....##.#...##..#.####..#..#.#......##...##...###..##.##..#.#..#.##.#..#...#...#.####.#####.......###.#.####.#.#.###..#....##.#.#.......####......###..######....#..#...##...#..##.......##.....#.#####...##.#.####.##.###.....#.#...#....#....#.#.#.#..#.#.#...######..#..#.#..#..#..#..#.#....##.##.#...#.##..#....####.#.#...###.#.##..###.#...##.###...#.##.##.##.##.#...#..##.###....###.....##.###.##########.##.....#.#.#.#.###...##..#..###.#.###...####..#.#.##..##.##..###.#..##..##.##..####.##....#...####.#.###...##...#.#...##..##.#...#.##.##.##..#.###..#.#....#..####.#.......#...#.#..######..#.##....####.#.#.#..##.##.#...#..#..#...#.##...#..#.#...#.######.......#..#.#.#...#...#.##.###.#.#.##....#...#..#..#.#.#.###.......#...#.##.....#...###....######.#....#...#.#.#...#.##.#..#..#...#.#..#..###..##..#..####..#......#......#.#.######.##...#.##..##########.#.#####.##.#.##..#.....#..###..#.##.###..#..#.#...#.#
####.###..#.##.#.###.#..##.##..####.#.####.##.#......##.#.#.##.#.#...####.###.##..#...##.#....##.#.#..##.#..#...###..#..##.##.#..#.#.#.#.##..#....####.#..####.###.#..##...#.###.#...#....#.##.......#.#..##..#....##...##..##.#.#..#.#.#.#.#.##.#..######.##...####..#..##.###.#.##..##..##....##.###...#.#...###..##.###..#...##..#.###.#.#....#.##.#.##..#.#.#.#....##..#.#.###...#.......#.........#.##.#....##.###.##.##...##...#..#...###.#.#..####.#..#.###.###.####..##.........#..#....#.#.##...#....#####..#....#...##..#...####...#...#.#..####..###.#####.#...####.##.##..#.....##....#.....#...#####..#..###..#####.##.#..##...#..#.#######......#......###.#.#.#.##.##..#..#.##..##..###.#...#.####.###.#..###.##..##...#.#...#.#..#...##.##.##......#.#.#.#..#..#....####..#######.####..#.#.##..#..##.####..###.#.##..#....##.##.##.###.#....##..###......#..#.###..#..#.###.##.#.###.#...#.##.#.#..#.##....##.#..##..#....##....#..##...#.....###.###.###.....##..#..##.####....###.##....#...#.......###.##.#.#.....#..##...###.##......#...#.#.#.##..###.#.###.#..######.##.######.#.##..##....##.#..#.#...#....#.#..##..#....#.#.#####....########..##....#.##..#.#..#..###.####.#...#..########...#.#...#..#...#.###......#.#.####..#....##..#.#.###..###.#.##....#.#...##.##.##...##.#......######..####..#..#.###.##....###...#.#.#.#........#####.##.##...#.#.##.##.#####.........###.#...##..#.####.#..##.#..#....#..#.#.#.#...##.##...#####.#.######.#..#.##.#.#.#..#.##.##.####.####..#######...#.###.#..#...#.##.....#..##....#...####..#..#..#.###.#.....##.##....######....#....#...####...###.#.#.##.#..###.#.#.##.....####..#...##..#...##.##.#..#.#######.......#..##..##..#..###.#..##.#.#.#..###..###.#..#####....##...#.####..########...#....#.###..###.#.####..#....##....###.#####.##.#####.##.#.#.##.##..##..#..##.#.##...##..##.##...##.##.#..###...###.##....#.#.###.##...##...###.....###..##...#....#...###.##.#.#.##...###.....######.#.##.##.#...#.###.#..##..#.......##.####.#..#...#..#..#.#...###.##.#....###.#..#.......###.#.
.######.######.#.###.....#.##....#.....##.#.#..#.###...#.#.###....###..##.######...##..#...##...###.#.####...#..#.#..#....#####..#........#....#..##.###...#.####.#.#.#.#.#.#.#.###.#...#..##..#...#..###.#.##.#.##..#...###.#####..###.#.....##.##...#..#####.......#.###...##.###...#.#######.#....#.#.####.#.###.##.##...#...#..#.....###..#.....####..#.##..##.##..#..#.#..##.######.###.....##.###..#.#....#.##.#.###.#.#.#..##...####.#.#...#....##.#.##........#.##.####.#.##.####.#.##.###..#######.##.##.#....#.########.###.#.##.#.###..#..#..#...#..#.#.##..#.....#..#..##.#...#..#.###........#..###.#..#.....##.######..##...##.########.###.....#..#..#.#.#.#.#...#...###..####....###..#..##.##..#.#..#########.##..##...##..###..#.#.#...#..#..#####.#....#.#.#.##....#...###.#####.#.#.#....#.....#..#.#..#....#.##.#####..##...###.#.##.#...#.####.#....##.############.....###.#########.......##..#.##..###...##...##########.##.####.#.#..#####..##.##.###.##.#......#.####..##....#.#.#####.#...##..#.##...###..#..#..#...#..#...#.##.#.#..######.##.#..#...####.###...#.#.#..........#..#..####.#.##..#..##.#...##.#.#.####..####.#..#.#....#.#..#.#...#.####.##...##.#####.....#..#.##.....#..###..#...##..##########.###.##.##.#####..#.#.###...#.###...#.##.##.#...#.#.#.#..#######.###.##.#.........#.#..#.#.##.#.#.#......#####....#..#.##..###..##...#..#.#.##.###.........#..#.#.#.#..#####..#.#.######...#######..#.###..#.#####.####.##..##.#.#.....##..#..##.#.####.........#.#..#.#.#.##.#..##..#.##########..#.#..#..##.#....#.####..#..##........#....####..#.....#.######.#.#.#..###..#..#.#....#...#..#...#.##.###....#.###.####..###.#..###.##.#.#.#.#..#####.#.##..######.##..##.#.#.#.####.##.#.###.#####....##..#####...##.#..##.#..##.....#....#.....###.#.#...#.##.###..#.#.##.....#.##.#.##..##.#.#####.###.#.#.#...#.##.#.#.##...######.#.##.##...#..#.##..#..#..#...##..#.####....###...#.##.##.....##.#..#.####......#########..#.....#.#..#..#.......#..#..#..#.#####.#....##.#.###.#.##...#..##.####.###.#..##..###..#.#......
..###.#######.#.##.########.#####.#..#.#.#.##.#.#....#...#.#...####.##...#.#####..###########.#####....#####...##.#..#####.....##...###.#.#.##...#.#...##..#.#....######.#.#...#..####......#....#.#.#....##..#.#....###.#.####.###.#.#...#.#.#.###...#.###..###.#.###..##.#.....##..######..##..##.#.##....#.....#..#.###.#...#..###..####...###........########....##...#.#..##.##...###.###.....#.#..###.#...#.#.....#.###......###........##...#...#.##.#....###.#...##.#.######.##...#...#..#.#####.#.###....#....#.#....#.......##..##.##...##.#.####.##......##.....#.#...#..#....#.#.####.#..#..####...#...#.#....#####.#.######...#.##...#.....#####..#...........#####.#.#.##....##.#.##.#..##.#####..#..##..###..#.##########..##..###....#..#.####....######.......##.#....#.#.###.###.##....##..#.###..##.....#.####...#.#####...#....###.##.#..##.###........#######...#####..#.#.#..##..#.#..##..#...####..#.##.#.##..##.##....#..#.#.##.##...#.#...#...##..###..##..#.###..##..#....#..##.####.##.#..#.##..#.#.###..###.##.########..##.#...#...#.##.####...##.######.#...###.#.....#..###.#..#....##.#....##..##.#.#.##.###.####...##.####.#####.#.#..#.#..##..##..#.#..####.#..#..#.#.#.#...#...#..#.#..#.#.#.##..#..##.#.#######.#...#.#..######.......#.#..#.....#.....#..##..#.....#.##......###.#.###.#.###..#..##...#.#####.###..#.#.....#.#...########.#.##.##..##...#.#.#...###.##...#.##.#.#..##..##.##..#...##.#..#.#....##..#....###.##.#####.#####.#.##...#....#..######.#.##.#.###.#.#####...#..#..##.....#.##.#..##.##.#.#.#.#...#.#######...#####....##.#####...#######.##.#.#....#..##..#.#.#..##.#..###.#........#.##....#.#.##.#..###.###..##...#....#..##.##.##.#...#..#..##....##....###...#.####.#.#######.#............###...#..#....##.##..#.##.##...#..##.##.....##.#.####.#.#..##.###.#.#..#..#.###..#..#.#...##...#...####.....#.##...#.#....#.#....#.##..#.#.#.###...#......#.#.##...#.##.#.#.....#.#.#...#.###..#.#..###..#####.##..#..##..####...#...##.##.........#.#..####.#....#.#..#.##..#.####..####.#..###..####.#.##..###..
####.##.##.#...##.#..#...#.#.####..#..##...##.##..#.###.###.#.......#.#.....#.....###.........##...##.##.###.###..#.###..#.####..######....####..#.#..#..##....###..#.##...#.#...#...#.....#...#.#....#..#.###.##...#.#.#....###..#.###.....#....####.#..#...#.##.###.###...#.##.#.###.#..#..#..#.#...#.####.#..#.#.###.#..#.#....#.#...#...#...#.#.####.#...##.#..##..###...##..#...##.#....###.#.#.#.#..####.#..#####...##...##.#.##......####.....##.#..#..########.###..#.#..##..##.#.#...#..#.##..##.#.##...##.#...#####.#.#..#.#..#####.#..#.##.#....####..###.###.#..##.##.###..#..###..####.#......#..##.#...#.#..##.####.##.##..##.###..#.#......#####.###...##....###.##.###.##..#####..##.##...##..###.####.....#....####.###.##.##.###.#...#....#.#.##..#.#####.##.##.#.....##.#.####.......##.###.#..##...#....#.#.#.#..#..#.#######...#...#.##.##.#.##.....#...####.##....#.##.......###....#..###..###...#...####.#..#...#####.......##.##.##.###.#..#.###..##....####..#.##.#.....#.##....#....#.#.##.......###.###..##.######.#.#.#.#..#.####.#...#.##..#..####....###.#######..#....##.###.####..#.###.#.###.#####.#...######.##....#.#.#########.#.#.##..####..##.##.###.##....#.#####..##......######..#....#..###.##..##.#.#..###..#..##.#.##.#.##..##..#.#.......#####.##...####.#.####.#.#.#....#.#.#........#...##.###.#.#..##.########..##.#.###.##..#.....####.#.####.#..#..##...#.###.#..###.#.#.#..#.##.#..##...####.###.##.#..##..####..#...#...####.....#.#.#..#.#.....#.###.##.##.......#......#.#.##.#.#....#....#..##..##.#.....##....#.#.###...#..#.#.#.##..####.####.##.#.####....###..##...##.#...#.#.##..####.###.##..####.##..#...#.#..##.#.###..#..#.##......#.###...#..#####.#.###.#.###.....##.#.#.#.#....#....#.#..#..#.###..#.#######.#.#.##.#.#...#.#...#.##...#.##.####.#..#.....#...#...#..##.#.#.#.####..#.#####.#..##...#..#...###.##.###...###...#.#.#......###......#....#..#.####..#.##......###.#.###.#.##...#.#...#..#....##..#.....#....#.#..#.##..#.#.....#....##.#..#.#..#.#.#.##....#..###....#.##..#.##.###.....#.#..#
#.##..##.###....##.#.#.#...#....###.####...#...####..#.##..#.#.##.......##...#.###..######....##.#..#.#####...###.#..#.##..##...##########.##.##.###..##....#.###.#.#.#.###.#..#.#.....#.#.#...#..#...#.##..###.#.....#...###.#.#..#..##.####.#.###.#.##.#......#..####.#...##.##..#..#.##.##.#..###.#.###.#..#..##......##.##.####.#.###..#####.##.#.##..##.###.#..#.#...#.##...###.#..#.#....#..#..#.##...#.#.#.##...###...#.#.##.####.#..#.#.##.#...#.###..##.##...#...#..##.##..###.##.###.#..##..........#.##...###.....##.######..#####.#.......###....####...#####...##.##.#..#..##..###......###..#######..##.###.#..##..##.#...##..#..#.##..#..#....##...####...#.#.##..###...####.##...#..###..#.#.#.#...####...#..#......#.####.#..##.#..####..#.#..#..##.####.#...#.#.#.##.#.##..#.###....#.#.######.#.#...##........###....##.##.#.#.#.#.###..###.###........#.#####.#.#.##.##.#.##..#..###..#..###...##.##...###########.#.#...#...#.#....#..###.#...#..#.###.#..###.#...#.#.#....##..####.#..##...#####.#..###..###..##..#.##.#..#.#.#.#..##..##.......#..##.....#.###....#.###.....##.##....#..#.#.#..####...#.#...##.#.#..###...####...#.#.....##..##.#....###..#...##.###....#.##.....#.......####..##.#.#####.#.##..#..####...##...#..#...#...#..###.#..######...#....#.##.#.######.###.##.##....#..###...##.##..##...#.#..##...#.......##.#.##.#..#.#..#####..#..#..#.#.....#######..#.###..#..#.##.#..###.##..#...##.#...##.##.#####...###...##....###.##...###.#...###.#..#.#..####..###.#####....#####.##.######.#..#...####.##.#..##.###..##..#.##.######.##.#....#.#.#..#...#....#.##.##.....#...###.#####.#..###....##..#.#....##.....#..#.###...#####...##.##.###.##...#.#####.#..#.##.....###...#.###.#.#....#.#..#.#.#....#.#####.###...#.#.#..##...#..#..##..#.##.##.#.####.##..#.###.#.##..##...#.#..##....#..###.####.##.....##...#.#.#...#.#.#..#.#####.##..#####...#..#.#...#.#.##.#.##.#.#.#.##.##.##.....#..#.#.#.#.#.#....#..#.####.##....#.#..#..#.#.##.#.#.###.##..#.###..##.##.#####.#.#..#.##..#..##.#..#.#...#..#.....##.###..###..#.#
#.#.##...###.###.###.##...##..##.#####.#.###.#..#..#.##......#...##..#..#..#.#.#.###..###.####.#.#.#.####..##.#..##.#..#####.####....#.#.......#.#...##..##....###.###.#....#.#........#######.###.#.....##...#..#..#......##....#....#.#..###.#....#......#...#.###.#.####...##.#####...###.#####...#...#.#.#..#.....##..#####.##..##.####......##..#......#.#####..##....##.....#.##..#.#...##.###.#.###.##.##...####..##.#####....######...#......#..#...#.......##........#..##.#.##.###..#.##.##.##...##....#.##..####.##...###.##..##.##.#.......##.####..#..##...#.#.#..###..#.##.#.#.#........#....##.#.#..#.#.###.#.#####...#....#.###...#.#.##...##.##.#.#.#...#...##.###.##..##..#...#...........#######.#.##.#......##...#..#..##..#..#...##.#.###.#.....#..#.#.#....#..#..#.###...#.####.##.####....#..#####...#.#.##...##..#####.###..#.#..##.##.##.#.##..##....##.....##.##...###....#....#...#.###..##....##...#.#.#.#..#.##....#..####..###...#..#.##.##.#...####.#####.....#.###.###.##.....##...##...####...#..#.##..#.#...#...####.##.#.....##.......#####.##..#.#...#.#....#.#####.#.#.#.##.#.#..##......#.##.#.#..#..#####.###.####.#.###...#.#....#########...##...#..#..#.#.#..#.#.#..##.#........####....##.#..#.##.##.#####.##.##.#.#.#..#.#....#..##.#.#..####.###..#..#..##..#..#....#.#.#..#..##..##.#.####....#...#..#.#...#.##.#.###..#..#.#.###.##..##..#.##.#...###.#####.######.#....#.###.##.####.#.####..###..#####.##....###....#.#..###....####...#.##.#.####.###.##.#.....#...#.#...###..#.....##..#.####....#....##.#.#.##.#.#..##.#...###..###.#.#.######.#...#..##..##.#.##.####...#.#...#...##...#.#..#..###..#......#..#.#.#..##..#..##.#.#.##...#..#...####..#...###.#####.#....#..##...#.##.###.##..#..#...#.####.##..#...#..#..##.##.###.##...#...##.##.####.#.#####.##...##.......###.#.#.#..#.##..#.#.##...#...#.####.##...###..####.###.#.##.#....#.######.......###.#..##.##.##..#.##..##...###....#.##.##..###.#..####.#####..##.#.##.######.#..###.#.#....#...#....###.#..#..####..#.#.#...#.#....##..#..##..###...####.##.
###...#..#.#.#.##.##...####.##.##.#...#####..###....#.#.##.#.######..#........#.#.##...##.#....####..#..#..#.##.####.....#.........#.####..#..##.####...#.##..#......##.####.###.#######.....#.....##...#..###.##..#.###.##..###.#.###...#.#.####....#.#####.#.#..#.....###..####...#####....##..##.###.#...#...###..#...#...####.##....#..#.#..#.##.....#..#..#.....###..####.###.#.#..###......####.##.....#.###.#.##.####.#.#...####..##.##......#.##..#.#####...#..#######...###.##..#.##.#..##..#..##....#.####.##.###....########..#.###.#.##..#.....#.......##.#....#..#.#.......###..##..##.###.#..###.##...###.....##.#...##...##..#...#....#.#..###.###.##.#######......#..#####.####...#####...##.#.##.#.....###.#..##....#......##.#.##.##..##....#####.#......#.##..#..###...##.##...#..##.##..##.##.###.#....#.#..##..#.#...#......###...###..##.#.##.#..#.##..#.#......####....###..#.##..#.##...#..#....###.#..##.###..##...#...##..#..#.#.....##...###.....##.##.#...##....#.##.#.###.#.###...##...#....##.#.....##...#..#..#..#######.......#.#..#.#.##..#..###...###.###.#.####..###....#...#..#.###..#..####...#.#.##.###.#####.#####..#..#.#.....#...####.####...#.#..#.....#..#.....#.#.##....#.#.##..#..##.##.###.###..##..#..###.##.##.#..#.##...##..####..#...####.#..#...###.#.#.##..#.#......#....####.######..###.####..#....#..##.....#.#..###..##.####.#.####.##..#..#...##.#..#..####......##.##..#..#.#.##..##.#..#..#....#.#...###.#...#.....#####.....#.....#...#..###.#...##.########.....##.#.#.######.#..#...##...#.#.#.####.#.###.##..##..#...#..#..#.##.#.##.#.....##..#..#.###.#..#.#.##..#.###.....##.#..##.####.#.#########....##.###..#####.##....#.##....#.###.##.##.#####..###..#.......#....#..###..#####...#...###.#.......#.#.###.#...#..#..#.##..#####.#.#.##.....##..#...#..####.#.#..#####.#.##..##.##...#.####..###..#.#.#..########.###.##..#.#...#.##..#.##..##..##..#..#...##.###....####...#...##.#.###...##..###.#.###.#..###..###.####..#..#..##....###..#..####.##.#.####..##.##.##..#####...##.#...#######..#..#.#.#
.#..###..##...#...#..##.##.#...########....#..#.#.#.#....####.#.#.#.#####.#....#.#.#.#..#..####.#..#.#####....#..#.##.##.#..#.#.##.#.##..##......#..#####.....##.#.#..#.##.....#.......###..#.#......####..##....#.#..##..##.###...##.##.##...###.##.#..#..##...#...#...##..##...#.#.#.##...####..####.#.#.#####.###.#.#..#######....#...####...#...#...#####..#...##.#..#####.#.###...##......#.###.#...###.##.###.###....#.#.#....###...##........#..#..#####.#.#.#.##.#.###..##..#..#.#..#.#...#.....#....##.#..#....#..#....#....###..#.#...##..#.#.##.###.######...##..#.#..#..#....#......##.#.#..###.#.#..#####...###.#...#..##..####.#....##...#..##.###.#.###.#..#.####.###...##...#..#...#..#.##.##.#.#..#...#.##..##.#....#.....#..###..#.#..##.#.##..#..#.###.##...#.#..##.####.###.#.#####.###.##..###.##.#..##..##.#####....######.#.#####..#.#...###.#.#..####.##..#####..##.##.#.#.#.###..#..###......#######.###.#...#.##.#.#.#.#..##...####...###..#...#.##.####..#.######.#.###.#########...##..####....#...#...###.#.....######.#.#...###....#..####..#.##.###....####.##.##.#..#.###.####...#.###..######.####.###.###..#...##.######.....#####..#.##...#####..####.####..#####.#...........##..#..#.#.#....#..###..##.#..##..###.#.###.##..##........##.##..##.......#.##.##..#...#.#.##.#..##.#.#.##....##.###...##..##..#.#...##...#.###...#.#..#.##.#.#.###..#...#.##.#...#.#..#.#..#...#....####...##...##.###.#.##..##.####.######.##.##.#.#####.###.##..#..#.###.#.####.####.#.#..#.########..#....#.###.####.#...#.#.####.##.#.....####..#.######..........#.####...#.##..#..##.#######.#...#...######.#.#....#..#.##..#.####....#.##..#.####.......#..######.#.#...#.....##.#...##.#..##.....##.#.#..##.#.#...####.#.###..#.#.#..##...#.#.....##.##..#.#####..#.....#.#....#.#.###.##...#.##.#.....#..#.#......#.#.#..###..###...#.#.#.####.#..##.#.##.#.##..##...#...####....###...#.#..####.#..##.####..#...#....####....#.#.###..#....####.####..#.##.#.##...#...#.#....#######...##.#..#.####.....##.#..#....#.......#.#.##..##..####...##....
#..#.###..#.##.#.##.##..#...##..##.####.#.#.......#....###..###.#.####..#.#..###.##.#.##..#..##.#.#.#...#.#..#.###.#.##...#......###...###..#....#..#.###.#.....##.....###.#.#..##..#....#..##..#.####.######.#..##......#.##.#####.#...##...#...#.#.#####.#...###.#..#.##...#...##.#.###.#..####.....####.##.####.##.####.###.#...#..#..#..#....#.##..##.#.#.###......#..##.##...#.#..#.###.#.#######.###..#...##.#.####....##.####..##..#..#...##.#..######.###.####..##.#..#...#.##.#.#..#...#.#.#..##..########..#..#.#...###..###.#..#...#.##..##.#..#####......#..#..##.##.##.#..###..##.#######..#.####.#######..####.#...#...#........#.###.#.#.##.#.###.###.#.#...#.....#...#.....#.#.#.#...#...#..###.....#.#.#.#.##.##.#.##.#.#....#.#####..###.###.#...##.##....#.#.###...#.#...##.####.##.#..#.####.##...................###.######.#...#.#...#.#.#.##....####.....##..##.###..#.##...#..##...#.#.#..##...##...........#......#.#...#...#.#.#.##..#.###..#...####.#.#.#.##.....##..##.#..##..#.###.##...##...##.#.#.###.####..#.##.#.#..###.#####.#.#.###...#..##...#...##.#....#..###..#####..#####......#.#.....#.#...#.##...#....#..#..#.###.#.#.#.#.#..####...###..##.##.#.#...#..##..#...##..##.##....###.#.#..#..##.#.##.......#.#..#.###..#####..#.#.#..#.#.##.#.##.####.##...#####.#..#.#.#.#.#..###..###.##....#.#.#.##..#..#..#.#..#.####..##..###..##.#..##...#...##...##.#..#.#####.##.##....#....###..####.##.....#.##...#..######....##..#.#...#...#....##.###.##.###.#..#..#.##.....########.#.....###.##.#.#.###.####..#.###..####.#....#.#.#...#...#..#..#.##..#####.##..###.##.##.#.####...###.#.##...##.###.###........#..##.##.##..###..##############.###..#.#.#..#.##.#...#.###.#..##...#####.....##.......#...##.#...#.####...#.##.#..#.#..###..#....##.#.#..###.#..#.####.#..#.#.#....#.####.#.##...##...######.##..##..#.##...#####.#.#....#.#...#..##.##...#..##.#......#.....#..####.####.#..####..##.#.#.###.####.#..######.####.##....###########......########.##..#.#..#....##.###.#####...###.......########...####.##.###.#.#....#
##...###...###..##.#.###.#..#.####...#...##.######..#..######..#...#..####.##.#.###...#.####.#.###.#.#.#.###.#..#.#...#.#.#..##...#######...#...###.####...###.#....#.#.##..##.########.#..#.#.#....#..#.##....#######..#.##.###.#...###.#...#....#.#.#.##...##.#.##.##..##......#...#.......#..#.##..#.#...####.#.##.#.##.###..###...##..#..#..##.####..#.#......##..##.#....#.##.#.####...#.#.###.#.#.##..##.##.#..#...##..#...##...#...##.#.#....#.#.#.##.###.#..###.#...#....#.##.#..#.###...##...#....#..#.#...####..##...######...#....#####...#...#..###..##....###.###....######.#.##.#....#.#.#....#.###..#.##.###.#.#..#..#.###....##..#.####...##.#####.#...#......#.######...##.##.##.#...#####..#..####.#####...######.#..#..#.##.###.#...#..#..#.....#####..#.#.#....#####..#..#.##.#..##..#####.##.####.###......#.###...#.##.###.##.###..###..##...##...#.#..####.#....###...#.##..#####..###....###..#..#...#..##.###.#########.#..#..#..##.###..##...#.###.#.#..##.#.##..#..#..#....#...#.#.#.#..#.###..#.#.#.#......#######..#.####.#...#..##..###..#.##.##..#....###.#...###...#.#.#.#.#..####.##...#.......#..#....#.#...#..#..###.#.##..##..##....#..#.##.###.#.##.###.#.#.###.#.....########.#..##......###..#.#.#......#....###..#.##..##.#.#.#.#.##..###.####.####.######..#..#..#..#.#..##.##....##..###..##....#.#.#....#.##.#.##..#.##.####....#.##.###.......##..##.#..#.......###..#######...#...#..#.##...#.#####.#.#...#.#.#..#..######..###.#.#..#..#.#..#..#...#..####.#.####...#.##...####..##...#.#.#...#...#####...#..#..#.#.#...#.##..##......#...#...##..#.#.#.......####.###..#.###...###.###.####.....#.###..#..###.########.#..#..#...#.##.##.#.#####...###.#..##....##.#.#.#.#...#..##.##.#..#.###.##.#####.#..#.##.#..#....#....#.#.#..#..#.##..###.###..#...###..###.##....####...#.##.###...##.#..#...#........##...###..#.#.##.#.#..#.#.###..##..##....##.##.##########..#.##.###..#####.#.#..#.#.#####.#..#.####.####....#.###...##.##.#...##.########..#..####..........#...##.##..#.####.##.#####.####.#....#..###..##.....#.#
....###..##.#.....##.##.###.#..#.####.#.#..#.#...#.#.##....##.##.##....##.#..#.....####..#.####.#..####.#.#.##....#..####...#..####.#..##.#....#.#..#.#....#...#.#.#..#.#..#.#.#......##.#..#.###.###.##...##.###.#..#####...#....#.#..####..##.#.##.##..#..#....##.##.###.##..#.##..#####..##.#.###.##.#...####.....##.##....##.###.####.######....#.#.#....#...##.##....#...##..#....###.#..##.###.##....######.#.#.#...#......#........#.##.#...###...#####.#..##.....#.##.#.#.#..##..###..#.#.#.#..........#.........##...#...##.#..##.#......###.#.#.##..#.##.##..###....#..#.#.##.###.#..#.#.#.#......#..##.#####..#####...#..##.####..#..#####.#..###.....###.##.##...#..#.##...#..##..#.######.#..#....#.#..###..#.###.###....##.######....###.###.###.##....#####..#....#.####.#..#...##...###..##.#.##.#.####.#.#.#..#..#..#.###....#..#.###......##......##..#..###..#....#...#..#.........##.#.##.#...#...###....###........#.#.##.#.####....##.#.###..#.#..###...##.###.###.#.##...####.##....##..#.#.###..#..##...#...#.##...#....#.##.##..#.#.##...####.##...##..###.###.#.....######....#...####...#...#...#####.##..##.##..#.##.#.###.#.#..#.####.###.##.##.###......#.......#.##...#####.#.##....###.#.#..###.##.###.....###.##.#.#....###..####.#.#.###.##.##.##.#..#....#..##.#....##.##....##...##.####.##.####....#...####..##..#####...#.##.#......##..##...#.###..###...#.#.#.#.#....##....##.#.#.#####...#.#..#####.##........#.#..###.#..#.####.#..#.##..####..#..#..###..##.#..##.....##.##..#...###.##..#####.#.#..##.####..#....#..####...#.#..#..###.##.##..####....###..####..#....####...###..##..##.#.#..#..###.##.##.#.###.##....##..#.##.#.##..#.##.#..##...#.#.###....###.#...####..#..#.##...###......#...#...#..#####.#..###..###.#.####.###.....###..##..........#...#.#.######.#.#.#...###.#.#..###...#.#.....##....########.##.#..#.###.#..#.....#.##....#.##.####.###.##.#.###....#.####...##.##...#.##.#.####..##.....#.#...##..#.#..####.#..#.#..#.##..#..####....#.#.#...#......##..#.#.#...#.###.##.######.#.#.#.######.###.##....
.#..##.##..#####.##...##.####.#.##..####.##...###.#..#.#.#...#.#.##..###..##.#..#..#.##..##..#..#...#.###..#...#..#.##.#..##..#.#####.###..#..#.....##.#####.#.#..##.###...##.#.##.#.#######...#.....#.##.#.##..#.##....###...##.##.#.##.###..##...##.#.##.#.########....##.##.#..#..#..#.####..###..#####.##.#...#.....#..######.#######....##..#######.##.####.#.##.#..####....##.##.######.##.##.....###.##.##.#...#.####.##.##.##.#.########.####...#.####.###...#.#...##....#...##..#.#.#...#.#.###..#####.##..##.##..###..#####.#.##..##..#.###########.##.#.....###.#.#.#.#..#..##..#.####.##..#...#.#.#..#..#..#.#.#.#...#......#.#######.##....#...##.#..##..#...#..#....#...###.##...#####.##.#####..####.#.##.####.##.......#..#...#.#..###...#.....#.###.##...##.##.##.#.#.#....#.#..##.##...###......###...#.#.#....#..#..#.#.#....#.#.##..#####.#..####..#.##.#.###.##...###..##.###..###.#..##.#.#.#.##....#...##.....####.#..##.####.#.##.#..###...###....###...##..#..#.#.#.#.....###..#.#.#.##......#.##.#.#..#....#.#.##..###..##..#...#.#.#..####...#####.##.##.#.#.#....##...#....#######.#####..#.#####.###.#.#.##.#.#.##.#...#..###....#.##....##..#####.##.##...#.#...#.##.###....###..#..#..#...#..#######....#.#.#...#....##.#.##..#...#.##..##.#.#...##....#.#.##....#...###..#..#....##...#.#.##.##..#####.#.##..#####.######..####.###.#..##.......#.#...##.##.#.###...##.##......##..###.#..#...#..#..#...###...#..#.##...#...##.#.##.####....##.#...#....##..#.##...##.#.#...##.###.....###.####.##.#.#...#.#####..###.###.#..#.###....###.#.##.##..##..#####..##..##.##..#.#.#....#...##..##.....###.##.#####.##..#####.#..##..##..###..#..#...#.#..#..#########.##.....#.##....##..#.#..#..########..####..####..###.####..#.#.#...###..#...##..#......##..#......#..#.#####...#...#.#.#.#.##.##...#...#..#.##....#.....##....#..##.....##...####.#..##.##..#.#.#...###..####.#..#...##...#.#..###.##..##.......#.....###..####.###..##.#...#.#..##.##.#.###.#...#..#..##...##..#.##..###.#####..##.###.....##.##...#..#...###.#.#.#.#.#..#####
###.#...##..##.#..####...#..##..#.##..#.##...###.#.##.....##....####.#..#.##.###.###.##..###.#....#####..###....#.##...#.##....#.#..####.###.####...#####.#.####.##.#####.#.###.#.#.......#.##.....#....#..##...##.#..#.#.#.....##.#.#..##..#########.##.##.#..###..#.##.###.....##..##......##.#...######....##..#..#.#.##..###..#..#..#######.###.###.##.....#.###.###.#..#..#.#.##....#..#...####..##.##.##..#####.##....#######.....#.#.#.##.###...#.#.##..#..#....##..#..##.##.#.##..###.#.##..#......#..#..#....#.#.......#.#.##...###....#.##..#.##.####.##...#....###.#.#..#..#.....###.#.#....##..##..#.#.#.##.#.##..##..####.#.........##.......##...#..........###.##.#.##....##...#.....##.#.#....#.###.#...##.##.##...#.#.###..######....##..###.##.####.###.#.#.#.#.####.##..#.###..#.......###.#..#.#.#.##########........##.#....#.#.##.###...#..#..#..#.#####.#..#..###.###....#...#.####.####....#.##.#.##.#......#######.....#.#.#.##.##.##..##.#.#...#.#..#......#.....##.......###......##..###..#..#...#..##.##..#.#.#.....##....###.##...#..##.####.#..#.#.##....####.##.#..##.##..#.........#.#.#..#####.....##....####..###...#..#....#####..##..##.#####.###..###....##.##...#...##.###.#...#...###....#......#.####....##.#.###.#.##..##..###.#.##..##.#.###.##........##.#.#.#.##...#.###...#.#....##.#..####...##.#....######...###..#.##...##..##.##.#...#.#.####.##..#...#....#.#.#.....##.####.###.#####.#..#...#####.#....##.#.##.##.....#....#...###..#.#########..##.##..#.##.##...#...###..####.###.###...####..#..##.####..###..####...####.#..####.##.#.##.#.##.#..##.#####.##.##.#..#.####.#####.#..#.###.###..#.##.##.##...###..##.#..##.##.##...#..#...#.....#..#...#..##.####.#.#..###..##.####..#.##..#.#..##.###...###..####..#..#.##.#..#....#####..#.#.####..#.##....##....###..##...###...#.##.#..###..#..###.##.####....###.#.###.###.###...#..##..###...#.##.##....#....###.#.##.###...#...####..##.##..#.#....###....#.#.#....#......####...#..#..#...####.####.#.....#..#....##..##.####.##.#.##..#..######.#.###.##.#....##.
#####.#.#.#.####.#........##.##.#.##..#.####....#...##.#.#.....###...####..#.#....##.#.####.##...#.#..#.#..##.....#.##.#...#..####..##.####.####.#.##...#...###.##....#.##.####......#..####..#...#.##..##.#...##....#.#..#.####.##.##..##.####.#.##.#.....#...###.#....#.#...#.##.##.##.####....##.##..#.....##...#.#..##..###.......####...#.#.#..#...##..####.##.#.#...#.####.##..##.#..#..#..#..##..##.##....##.......##..#.#.###.##.#..#####...#.#..#.#.###..####..##....#.....##..##....#######....#.##......###..#..##....##.......#####.#....##...#.#..#.#...##...#.##.###.#.####..###.#.#...######.....#...####.#####...####.##...#..#.##...#######......####.#...##.....#...#..####.#.#.####.#.#.####.#...##.#.....#.#.#.###.###.#.#####.#..###.#.#####..#.##..###.###....#.##..###....###.#...#.######.#.##...#.#######...##...#.##....##..##..######.##.#####.....#.....##.####.##.#.##..#...#....#.##.##..#.##.##.###...###..#.####..#.##..#..####.#...##.##...#.###.##..#.##.#.....#.....#.##.#####.######...#..##.#.#.#...####.####...#.####.#.##..#...##..#..##..###.###..###..##...##....###.#.....##.###..#....##..##.#####..####.#..##..#.####...####.###.##..##.##.##...#..#.#.###.#..##..#...#.####......#.#.##.#####..#.#...##..###.#####..####.##..###.#.#.####.#.###......#.####.#.#.##.#..#..###...##...#..##.......##.####..####..##..#...#.#.#.#...#.###.....###.###.##.#.##.##....##.#.#...##.####.#.#..##.##.#.#.#.##.#...#####....#..#####.#.##..#.#.###.#..#.####..##.#.##.......###.##.#.##..###.##......#...###...#.#.###.#.###.####.#.#...#.#####.#..#####..##..#..###.#...#..#..#.##.#....#..#.#....##.#....##.#..#....####...#####.##.###...#........##...#.##.#.##....###..##..##..#.#..#..##.##.#..###.#.##..#.....#..#..##.###...####..#.#..#.###.##..####.##....#.......#.#######.###..#.#.#..#..#####..........#.#####...##..####.##..#...##.####.###.....##..#..##.....#.########....######.##..##....#...#.##....##.##.#...######..##..#.##.....#.#####.####.###.###..###.#...#..#.#.#....#...##..#.####.#.....#.##.#.#...#.#.....##.
#..#....##.##...#.....#...#.##.##.#.##..#...#.#..#.##....####...#........###.#..#.#...#.####.#...##.#..##.#.#.##.######.#...##..####..#..#.##..##.#.########...####.##.#..#...#..##....#.#...#.##.###......#.######.###.###.##.#.##...###.#..#..#.######.#...#.##...##....###....##.....##.###..######.....#.#.#.##.#..###..#.######.#...###.##.#.##..##..#..##..##..#.....#.#.#.###.....#.##..#.####.##.##.#.##..##....#.##...#..#.#.##.###.#.#.######.##...####..#....###.#..#...##.##.##.##########..#........#..##..#.#.#.###...#.####.#.#...####.####..##.##.#.#.##.##.#..####...........#...##.#......#.....####.##.###........#....#.#....###..#..#.####.##...##...##..##....#..##..#####......#.###...#..#..##.##.##.#..#..#.##..##.#.#.###....###.##.##.##.##..####.#...#.#####..#.#.####.#.#.########....##....##..##....#####.##..#.#.#...#..#..#...##.###.#..#####....##...#.#.#....##...##.###.##.##.#.#..##.#..###..#..##.#....#.###.#.##..##.#....##.....##.#.#.#######.##..###....###.##.##...###.#..#..##..#####..######....#..#..###..#..#.#...#.#.#...#..#.##..#######....##..#...#..#.##.#..##..##.#.#..######.#.###..#..###.#.#..#.#.##.###.....#####.#..#.#.....#.#...##....#..#####.#..##.#.##.#..#..####...####.#.##..#......#.#.#..#...##..#...###.........###.###..#.###.#..###...#####.#......#.####...##....#..##.#.##..#.#.#..#.#..###.##.#.##..#..##.####..#..######..###.#.#..#..##.#......####...##.##.##.##.#.####.....#..#..#..#.......####..#.#..#.###..#...#.#.#..#.#..##.#..#..#####.#.#..#..#.####..#.####.######..####.##.###.#.#####.##..##..##...#.####...####.##..###..#..##.....###.##...##...#.####.#...#...###.####.#.##.########.##...#..#..#..##....##..#.#..##..#.....#.##.###.#.##...##.#.#.##...##............#.#.##.###.......#######.#####..#.....#.#.#.##.....#.##.##.##.##..#.#.###...##..#....#.#######....#####.####.##.#..#..#.#....###.#.....##...###..#.##.....#.###.#.#.##..###...##...#.####.####....###.#.###..###...##..####..#.#.###.#....##..#..#####...#.#..#..##..#......#####.#..###.....####..####..#.#..##
#.#..##....#...#...##.##....#.####.##..#.#..#...##......#.####.##.##.##.###.#.#...#####.##.#.#......###..#....###.#.#..####.##.#.#.##.######.#.....####.#..######..#.#.##.###.#....#...#.#..#..#...#..##..####.#...#..#.#.#...#..##.##..##.###..##..###.#.#.######.#.#.##...#..##.#.#.#.#...#####..###....###.#.#######........#.#.##..#.#.....##.##...#.#..#.###..#.....####...#..###.#..####....###..#..#.###.##...##.##..#..#.####....##.#.#...##.#..#......#.#..#........#.###.##.####..#.#.##....##.##.......#.#.##....#.#.#.##.###.###.#.#.##......#.##...#.#.##...........#......#....##.##....#..##.##.##.#...#.#.#.#....#..#.....#.##..##.#.#.###......#####.######.####.##...#.#..##.#...###....#.##...#..####.##.####..##.##.#..#...#..#..#.#.#.#####.#....#######..###.#....######.#.##.##...####...#...#..#...#..#.##.#..##.#...###..#..####..##.#.##.##.#.###..#####..#.###.####..##.#.##.##..#.##....#..#.#...........#...#.#....#..#.#......#.#...##...#.#....##....###.#...###.##..#.#.......##.....##.##.##.###..#....##....#.##.....#.#....##.....##.####..####.#.###.####.#.##.#..#.#.#..##....#...#..#.#..#.#.##.#..##.##..#..##.#.....#...#.#.#......#.#.#...##..#..####.##.....###.##..#.#.#..#.#...#..#####..##.####...##.#..###..#..#....##...##...#...#.#####.........#####.#.#.##..##....#....#.###.....##..#.####..####..#.#.#.###.##.#.#.##.##.##.....#..#..#.##.#.##.##.###.###..###.#.##.#.#......#....#.#..#..#####.##.###.##.###.#..#.#.#..#....##.##...#..#...#..#.###..#.#.#........###..#......##...#####.##..##.#..###.##...##.....#.....#..#.#..#....####....#.#.##..#####...##...##..#..#..#.##.#..#..#..#.##..###.#.####......#####.....##....#...###.....####..#..###..#..##...##.##..##.##..#.#.#####..#.#.#.....#...###.#.#.#.##...#.####..###.#.###..##.....#.#.#..##..##.#.....##.#.#.#.###...#..#..###..#...###...#######....#.##..##..##.....######...####..##..###.##..#.##...#.#..##..#####...####.#####...##..###..#.#.....###..#.##.###.##...#.###.......#.#.###.#.#.....#..#...#.#....#....##...####.#...#.#.#...###.##.####
#.#..##.######....###.######.#...#...#.#######.#.#.###.#.#.##..#.##.##.#.#....#.##.###.##.##.#.#..##..##.##.#.##...#..#.#######..###..####.##....#....#.#.#.##.###.##.#.#...#.##...##...##.#.##...#.#.....###....#.#...##....#.##..#####..#.######..###.#...###.#..###..#...#.#####.....####.##...#..###.#.#.##..#..####..###..#..#.#.###...#.##...#.##.##..###...###.#####..####.######.###..#.#.###.#.#.######..#...####.######..#.#..#.##.##.#..##.#.##..#.##..##....#.##.#..#.#.#..#.######.#.##..##.#...###...##..#.#..###..####.##.########.#.##..#..#..#.##....##.#.###.###.####..##...#..###.#.#.###..#..##.#.##....#.####..##.##....#.###..#.#.#......##.#...#...##..#..#..#...##...#..#.....##.#.#...##.#...#.###.##...#..#...#..#.#.###.##..##.#....###..#.##..#..#.#####..#..#.##..####.##.##..#.###.##....#.##...#####..#..###.#.###.#...##.###.##########...#.##.######.##..##..#...###.......###.##....##.#.##...#.......#..#.##...#...#.#.####..####.##.##.#..##..##.#.##..##..#.###...##.#...##.##..#.##....###.#...#######...####.##.###..######..#.####.#.###..#.###.###..##.##.#.###.##.####..##..##.##..###.###..##.######..#.###.##..###..#.#..#...#.......#.#.#.#.#..#.##.#..##.#.##.###..#####.##.##..#.##............##.###.#########.##......#####...##...#.#.#.#..#....##.#.##.##.#...#....#.#...#.###..#.#.##.#.#.#..###.#..###.####..#.#...#.###.######..#..#..#.#.#.##....#.####.#..#...##.##.##.#.#.#.####...##.#.#.####.#.##....#####.###.##.#.#.#.######.##.....#..###.#..#...#####.##.####..##..##.######..#.#..##.###.#...........##........##...#####..#.#..##.##......#.#...##....#.##.#..####.#...#.##.#..###.##...#.#.....###.##.#.##.....#.#.#..#....####....#.####.###..####..#.#.#####.#.#.##.##.#.#.#......####.#.#.#.######.#..####.#.....#......##.#..#.#...#.#...##..#..#######..#.###..#.#....#.#....###.#.##.####.....####..#..###...##....##.#.##.###..#.##...#.##.##..###...#...##...#..#...##.#####.#...##.#.###.#...####.##........#..#.....#.##...####.###.####.....##..#.#...#..#...####..##..#.#....#..#..###.###.##.....
..#..##.#...#......#######.#.###..###...#.####..#..#..##.##.#..##.#.#.#.##.#.##..###..###..#...#.#.####.######..#.##.####.###.##......###.#...#.###.#.#.#....###...###......##.#...##.#..##.#..##...#.##.##.###..#.##.....#.##....####.#...#....##...##..#.#.#...#.##..##.#.#.#.#....###.####.###..##.###..##.##...###.##.###.##.#####.#.#..##.#..#..#.###.#..##.#..###.###.#.....##.#...######...###.##....#.##..#.####.#.#....#.#..####..#..####.##.##....##.##.###..##.#..##.....#...#.#....##..#.####...##.###.....##.#....###.....####.####.#.#..###..###..#...#.####.....###...##.##.#.#...##..#######..#.##..#.#..#....##.#######...#....#####..#.........#.#####.#....#..##.....#.#.##.#..#.#..#.#....##.#...##.##.#.##.###.#..#..#.....####.#..##.....####..##.#...#..###.##..#..####.#.#...##...#####..##.#.#.#.#.##..#.#.#######.#.#...#.#.###....#..##...###.#.##.#.#...#.....#..##.##..######...##.#.#..#.....#..##..#...#...##..#..##.#.#...##..##.##.###.####..#...##..####.##....#.#.........#..##.....#.##.##.#.#####.#..###.........###...#..#...#####..##.####..#.#..###.#......#....#.####.#.#.###.###.###.##..##..#..#.##.##...#..#...#..#.....##.....###.######.###.#.##...#######.##.###....#.#.#...##..#..#..#....###.#...##.##.#.##.#.#.#.#.#..##.#.#....#...#..#..##.#....#..#.#.##.#.#..#.####..#####.##.##.##.#....#.#######.#..##.#####...#.####...##...##......##.###..##.#..#....##...#.#..##..#.#.#.##......###.#.#.###.##.######...##..#.##.##.#.###.##.###....#.##.#.#..##.#.####..#.#...#####...#.#######...#.#..#..##.##.###.###.####..#...###..#..###...##.###..###......#.....###..#.#..##.##....##.#..###.#...#..#.....######..####.##.....#..##....#.####.##...##.#..#.....###..##...#.##..##...#..#...#.#..##.###.##.###....###.##.#.#.#####...###.#.###..##.#.##..#...#....##...####...#..##..###..#.....#.###.#.##..#.###..##.##...#.##.#.#.....###.#..########...#####.#####..###.#...###.####...#.....###....##.##########...##########.#..###..###..#.######.#.#.#.#..#..##..#..###.#.###.#...#.#...#####.#.######....###.#....###
.###...###..#.#..#...#..#.#....###......#.#.#.##.......##...#....##.#####...#.#.#.#.#..#.#....#.#...###...###..#.#...#..#####.#...#.#..##.##......#.##..###...###.#.#.#....#...#.##...#.##.#.#.#.######...#####......#...#..#..#.##..##..###..##.##..####.##########..##..#.###.######.####....##...#.#.#.#....#.##..#..##.####.###.##...#..#.####.#.#..#..#..####..##...##..##.#.##...#..###.#.###.##.#..#.#.#..##.#.###.##...#####.......##..##.......#.##.#....#####...##.##...#######....#.....#..#.#.##...#.#...#.#.#...##.##....####.#.##..##..#.##...#.#.###.#..#.#.###.####.#.##.###.##..##..#.#.#..###.#.#.#....#.####...##...#..#.##....###.######.#.#.###.#.....#..#.....##.#....#.#.##..###..###.....#..##..###.##..#.#.##...##...##.###.####.#.#..##.#.###...####..##.###.##.###..#....#####.####..##.####.##.......#....#.###.#...##...###.#..#.#....###...###.###...###.###.....##.###.#..#....#..####.####.#........##.##...#.###..#..#..#.#...#####..#.#.###.##.##.#.######..#.##.###.#.....#.##...#...#..###.#.#..#.##.#.####...###..##.#.#..#.##.##....##...#.#..#.##.#..##.#.#..#..##.#...####.####..##.#.#####..#.#.###.#.##..#.#.#.#....#.....##.#..#.#...##.#..###.####....#.###.#.....#.#.#.##..#.#....#.#...#.##.#...##.#.#...####.###.##..#..####.##.###..##...##.#..#.##.####...#..#..#.#.###..#...#.###.....###..#...##.##...##...##.##.##..###..##.#......#...#..##...#.##.#####.#.#.#.#.#.#.#..#.##.#...##...#..######..##..##.#.####.##.##.##.....#......######..#..##.###.##..##..####..#..##.#..#.#.##..#.##.#.##...#....###.#..#.#.#.#.##.###.#.###.#..###.###.#...####.##.#..##..#..#..####.#....#....#.#.###.#..###..#..##.#...#.#.#######.##.##.#.###.###....#####.####.#.#....##.##...##.#..######.#.#...##..##.#.#.#.##.#....#....##.....#.#.....##..#.####....##..####.#.###...#.##########.####.###..##.#..##..#.###.##..#.#.####.#..##########...#..#...##.##...##.......###...##...###..#..###.###....##...####.....###.#....##..#...#####...##...##..#...#.####....#..#...#.#.#.#.....#.#..#####..###.######.##..#######.....######.
.#####.#.....##.###...#.#........#...##.##.##.#.###...#..##...##..#...#..#..#.#..#..#.......##.##...#..#..##.#.##.#..##.........###.#.....###..#.#.######..#...##...#.#..#.##.###..#........##.##...#..##.#.#...###.#.##.###.#.#.##...#...#.#...##....#..#.##...#.##.##.##.##..##.#..###.#.#.#......#.####.#..#.####..###.#.#..###....#..######....###.#..####.#####.#..###.##.###.....###........####.#..####.#####......#.#...##..#.#.##..###.#..#...#.##.#...#..####...#..#..##..#..#..##..#...#.#.##.#.##.###..#....#..#.#..###.#..#.###.###.##....#.#..####..#.#..#......#.....#.##..........#.##..#####.....##.#...#.#....#..###..#.####.###.#.#.#.#.##.#########.#.######.#.......#.#.##.#.#.##..#.##.#......#..##..#...##.########..#######.##.#.###.#.##.##.########...#.#..##...######.#...#.......#.#.#....##.######.#.##.#.##.##......#.####..##.##.##.##..#..##....#.#.####....##.##..#.....###..##.#.#..###.##.###..#.#.....##..#.##.....#.##.#..#......#####....#..#..##.#.#.......##...#...##.....#......#####.#.#.####.#.###...#.#.....####.#....#######.##..#.#.#.##..###.##.##..###.#....####.#.###..#....##.####...#..##.#.....#.##......#.#.#..#.#..#.##########...#..##.##.#.###.....#..#..#.#.#.#.##..#.....#.#..#....###.#..##..##.#####..###.#.###..####....#..######...#.#.##..##..#.#.##.#######.##...##.##...##.#####.#.#.....##.##.##..#.#.#...#####..#..#.#.###.##...#..#..##.....##.#.####..###.###.##.#.###.##.#.##....#.###..#......#######...###...#.#.#####...##.###.###...###.....##.#..##.#..###....##...###..#....#.###.....#.#.#####..###.##....#.#...#..##..##.#.#......#.#.#######.##.....#.#...#..#.###.##..##....#.##..###..####.##.#.####...##...#.###.##.##.#.######.##..#.#..#...#.#.###.###.##.#....#..##..#.###.#.#..##.#.#.....#..#########..##..#.#..##.##.####.##.###....#..#.##.####.#####.#######.###.#.##..##.....#.##.#.#.#####..#.#.#.....##........#..#.#.#.##...##...#.#####.#..##...####...#.#.#####...#.....#.#..##...#...##....#.#.#..####..##....#.##.#....###..#...#..##.###..#.#..#.#..##.......####.##.########
....##..##.##.#....####.#...#..#..##..##.#..#.#....###.##..####..#...#..#.###..##..#.##.##...##...........#.###..#.##....#.##.####.##....#.##..##.#.###.###.#.####...##.......###...#.###.#..#.....#...####.##..###.#.....##...###..#.###.#.###...........#.###.......#......###..#...#....###..########..#..##.####..###.#..######.##.#.#..#...#.##.....##.#...#.#.#.#....##.#...####...###..#...#.##.###.#.#..##......#..#...#..#..###.#...###.#.##.######..####.#..#.#...#...##.....##.##..#..#..##..#...###.#.##..##.#.##.####.##.###..###.##.###.##...######..##.#....#........##.#####.#...###......#..##.######...###...##.##.##.#.#.###.#.##..###...###....##.....##.#.#..#...#.....#...#.#.#.....##.#..#.######.##..####.##...#.#..#...##.#...#######.#.####.####.###.#..#.....#....#.###...#######.##.##.###.#.....#..##.####...#.#..###..#.###.###.#..#.####.##.#.....#.##.##..#.#..####.##..####.....##.#.##......#......#.##....#...#...##.##..##.#.#.##.#..#.##..#..#..#..####.#..####..#.##.##.#.#..##..#...#.####.#...#.#...##...#..###..#..###....##.##...##.#.####......#.#.#..##.##....#....##..#.####.#.######..#.......#.#.#.#.#.####....####.#####.##.#.#..#...####.#..##...#...#.###..#..#...#...###.####.##..##....##....#.#.#....##...#..##..###.##..###.#.....#.##.####..#....###......##.....#..##.#.#.###.##..#.##.....##......#.#####.###..##.##....##.###.##......##.######.....#.##..#......##....#...#.###.#.##.#####..###...#..##...#.#...#..##.#.###.#.####.#..#..........#.#.##.#..###.....#.#.#####..##.#..#.##..##..#######..#.#.....#.#####...###.##.##...###.####.#....##.##...#..#..#..#..#.#..##.#.#.#.#..#....#.#..#..#....###....###..#.#.##..#..#..###...##.#.#.....#.#....####..###..#..##.#########.#..#..##.#...##.#...#...####.###...#####....#..##.########..#.#.#.###.#..##..####.#.###.#####.######.##.#..#########.##...#..#.#...#.#######..#.#...#..#.#.#.#.####.#..#.#..#...#.#.#....###...###..###.###.###..##....####.##..###..#.######.###.#..#...#..#######.#..##..####.#..###.###.#...##.....#.###...##.#.###.##.#..#
.###.#...##..##....#....#.##.#...#.##.###.##.##...##..#.##...#....############..###..##.#.####.#..#.##..###..##..###...#..##...###.##..####..##........##.#..##.#..#..#.......#..##..#.#..##..###.#....#.#.###.###..###.#.###....#.#.#...#...#..#.#...#.#####.#.#.....####.##.###...##..#..##....#.#.#######..#.##.#....#...#.#....#.#####.#####..##.#.###.#.#..##..##.#.#.#.#.####.#..##..#.#..#.#.##...##..##.###.###.###.#.#...##.#.#.#..##.##.###.#.##.....###.####.###.####.##.....#.#..##...######.##..#.#.#..###.#.##.###.######...##..#...##.#.#......#.#.....#..##..###...#.##..#.##.....#..#...#.#.#..#....#...##..#.###.#..##.#.##.#.#.#.##..#..#.#.#....#.#.....#.#...##.#...#.#.##.#..##...#.#....#...##..##..#.....###.####.#.#....####.##..#..##...#.....##.#..#.##...##..#.###..##.##..#.##..#....#......#...###.....#.#..##.###....##....#.#.#..##.....####..##..##..#...#.###...#..#.####.#..###..#......####....#.#.#.#...##....#...#########.#.#..#.###....#.#.#..#.##.###.#.##.#....#####..#.###...#####.##...#..#.#...###.###..##..##.###.##.#.#...###..####.##.#.###...###.#.##.#....#.#..#.#...#..##...##..##...#..#.###.####..####..####..#.#....#####.##..#...#..###.#.##..#.....#..#.##..#.#.####..#.##..##.......###..#.#..##.###.###..####..##.#.##.##..##.##..#####.##.#.###..#..######.###.##..###..#.####.#####...##.#.#.....##..#########.......###.#.#.##...#.###..#.##.####.###..##...##...#.##.#.##...#.##...####.....#.#.##...#.###...#.#.##......#..#.#.#.....#....#..#####..##...###.####..#...##...#..####.#...##..#.###.#.####..#....#.###.##.#.##.....####..##..#..#.#####..####....###.#...#..###.#..##.#...##..###..######.#.#...##.#..###.##...#..##.##.#....#..#.##.##.#....###....###.#.###..#.#.##..#....#...##.#....##.#.####....#.#.#.....#....#...#.###...#..#.#....#####.##.#....##.##.###.#####..#...#...##..#.##.....####..##...###..#..##....#..#....##.####.#...#....#..#.##.####....##.####....#..##.##..#####.##.#.#..#.####.######.###.#..#..###...##....#.#####..##..##...##.#.##.######..#....####....#####.##.##..
######...#..#.######.#.#.#.#...#.#.###.##........#.####........#.######.##.##..##..#.##..##.##..####.#.#.###..#......##....##.#.###########...#.##.#..####.#.#..##.#.###.#####.......#...#..##.#..#...##.#..########.#..####...##...#...###.####..#.##.###.##.#...........#.###....##.....#...##..###.#.###.#.#.#.####.##.#...#...#..##...#...#.########.#...#..###...#.##.#..####.##...##.#####.#.#......##....#.#######..###...#.#.#.#.###.#.#..#.#.##..######.####...###....######.####..##..#.#..###..###.#..#.#.#....#.#...#.###.###.......#.#..#.#..#.#..######..#.....#..#.##..##...#....#.#.######.#...#.#.##..##.#..#.#.#...###.#..#.##.#...#####.##.#....#.##..##...###...##.#.#.###...#.#.##.##.#...##.#..###...#..#..#.#.#....#.#.#.#.##.##.#..##...#..#.#...#...##.#......#.....#.######.##...#.##...#..##.#...####......######....#.#.###.##...##....#.###......#.#.###....##.####.##.##..##.###.#..#.###.##...#.##.#..###.#.#....###.#...##........#...#..#.#.#.###.....##.#.#.##...#.#..##..#...##..###.#.#....#.###...###....#..#......####.#...#.#######.....#..###..#####.#.#.##..###..#.#.#.###..#..###.#..#.#.....##.####.#.#..#.##..#.######...##...#.##.#####.##..#.#....###.#...##.#..#.#.#.#..####.#.#.####.#.#.#.#.#..#.....##....#.#..#....#.##..##.#####.#..##.#.###.#.##..##..##........#...#####.##...#..#..#...#....##..#..##.#.#....##..#.#...###..#.#.#.##.#..#..##..#.#.#.#....##..##.....##..########.#..#....#.###.#...###....#..#.##.###.###...#.#..##.##.#...##...#.#.....##.##.#...#.##....####.###...#...###.#.#.#.#.#.#####..#..#.###..##..#.##.##...#...###....######..#..###.##.#..##...#...#.......#...#.#...#.##..##..###....#..#.##...###.##.#.#.##...#........#.#...#.###....####.#..##.#..#..####.###.#....#..#.##.....#...#.#.#...#.#...#...#....###..#..#.##...####.###.##..##.#.#.#.#.#.####..#.##.###.##.##..####...#...####...#.#.##.#####..#.###...####...#..##.##.###...#....##....#..##.##.##..####..##.....###..###.###.#.#..#.#.#......#.####..###..#..#.#...##...#.##.##..##.####.###..#..#####..##....##....#...##..
##.#..##.#.#.#...#.#..##.#.####...#....#..##.##.#..#..#.##..#.#..#.##.#.##...#..#.#######..#.#..##..#...##....##....#..#.###.......##.#.###....#.#.#....#.#.##..#.#.#.####.##..#..##..#.#.##.#.##....##..#..#...##.#...#.#.##...#.##.##..##..#.##..###.##.#.#.####..##....#.#..#..#..##...#.###.#.######.#.###..#.#####...###.#.#.##..#.#.#.....#.#.....#.##.....#..#.#.#..#...#.#.#####.#.#.##..#.#....##...###...#.#.###.###.###..#.....###..##.##...##.##......##.##..#..#####..#..#....#..###......#.####..##.#.#..#..##...#.#####.##.##.###.##.####...###.....#..##....##.######.#.##..########....#.#.#.##..##...#.#...##...##.....####..#...#.....#.####.....##..#.#########.####....##.....###.###....#.####.#..###.##.##.........##.#.#...##..#...###.####..#...#.#..##.#..#....###.#.#...####.#.#..##......##.#...#..#.........#..##.##..###....##.####.#....##.#...#....#...##....#..#.#..##.#....#.#...#####.#.##.##.........#.#.#...#.##.#.#.###..##..####.#....##....###..#..###....#.##.##.#..#.###..##.##...#.#...#..##..###....#.#..#.##.#....##..#......#..#.###...#.##..###.#...#.....#..#.#.##.#####.####.#..#............#.....#.........#..###.#.#.#.#.##...#.#.##.###..##########.#.#..#..#..#.###..####.##..###...#.##.#.#####...##..######..#.####.###.#....#..#.#.#.#.#...#..###..####.#.#...##.##.....#.###....##.#.#....#..###.#..##.#....#..##.#.##.#.##.##.##.#.#.#....##.####..#.#.#.##..#..#.##..#.##...##........#.#.#.###...##.#..##..##...#...#.#..#.....#..##...##.###.##.####.##.##.###..#.....#.##.#..##.#..####.#####.#.......###.#...#.#.#..#.##.##.#.#.#.#.##.#......##..#.#.#.##.#.########.###..#####..#..##..###..#....#..##..#.#..####.##..#.##.#....#.#.#.##..######...##...#.#...#.##..####.##.##..##.#..#...###....#....##.#.##.....#...#.##..##...#...#.#..###..###.#..#..###....#..#.####.#.#.#.###...#.....#...#.####.##..##.###...####.#.#......#.##..#...#.#.##.##...#.#.#..###.#.#.###..#.####...##....##.....#.#..###.###.#.....#..#...##..###.####.#..###.#..#..##...##.###.##..##..##...#.##..##...##.#####.#.#.###.##.
..#.#####.###.....#.####.#####...##..#...#.##.##..#.###....##.####.##..#######.#.###.#..#....####.##.#......###..##.#####.....######..#.##....######...##.#.#####.#.#.#...#.#.#.##.#.#..##.#...###.##.#.####.###..#...#..##..###.#####....###..#.#...#.....#..#.##...##..#....#...#.##..###..#..#.###.#.##.......#..######...#..#.##..##.###..#...#..##...#.#....#.....#...#..##.##.##.#.#.#.#....#####.#..##.##..##.##....#..##....####...#....###.###.#....#.##.####...##..#...##...###.###.....#.####.##.##.#...#####...#####.#...##....#....#....#.##.#.#.#....#.##.#.#.######...##.#..##.#.#..##.#....#.....####...#..##.#.#########..####.###.#.##.###...#..#...#.###.###...#####.#.#..##..#..##..###.......####.....##.###.....###.#####...#...##.##....####.#.####.#..######.###.#...####....###.#.#..##..#....#####.##...#..........#....#..###..###.#.##.#.#.###..##.##.##.#.......##...####.#.#....#.....#.#..##.#.#....####.#####..#......#..#.####.##.##...#..#.##..#..#.#.#.......#.##..#..###...#...#.######.####.##..#..#..#.#.###..##..##...#.#.##.#....#.###.##....###...##.#.##..#..#.#....#####...#####..#.#....##.##..#..#.#.#.#.#..##..#####.#...##....##..#..#.##.#...#..#.#.#...##.#....#..#..####....##.#.##..#####.....#..#.#.####.#.#....####.#..#.##..#..###.###..#.#.#...#.#......###..##....#.#..#.######..####.##..#.#..#.#.###.####.####.........##..###.#.######..#.....#..#......##.#.#..#######....##....######.##..##.#..##.###..###.######.##..#..#...##...#.#.##..#.....#.###.#.######.#..#.#....##.####...#..#.........#..#...#########....#..#..#.###..#.#.##.########....##.###.#.#...#.#####.#.##.###.#.....#...##.##..##.#..#.###.#.#.#...#.###..#.#####..#.#.##.#...#...#.##.#..##..#.###.#..#.#.##.##..###.#.#.#.#....##.######.....##....#...##..##.##...#.####.#.#..##.##..#.#.......#..#.###.###...#.#.#..#.#.#.....#...#.#...#..##..#.###..##...#####.##.#####..##...##.#.##.#.#..##......##.#......###...###...##..#.....#.##.#.....#####.....##.#.#.######..#.##...###.#.#.#.#####..##.####..#.#.....#.##.#..#.#.#........##.
##....###.###.####.#...##.#######........###.##..#.#..###....#####.####...##.#.......#.......#...#.#.#..##.##.###......###.#.#..#.#.....######.##..#.#..#..#.##...##.###...####.##.#.#.#...#....#..#....##..##..#........#..#.#..#..#####.#..####...####...####.###..###.#####....#.#...##.###..#.#...#..#...###.#.######.####.#####.#......##.#######..#.#..#...#..###.##.##.##.#.##..###.#####.##.#.##....###..##..#..#######.###.#####...####..##..##.##.#.#...##.#..##.#..#....#.........#..##.##.#...#.####.##..###.#..#..#.####.....##.#.##...#..###.#..#.#.#.#.#....#.##.####..###..#...###....#.##...#.####.###.#...##..#.#..#.###.##.#....##.#....#.#.##..#####.##..#..#.#..#.######...#.##.#...#..##....####...#.#####.#.#...##.#.##...####..#...#..#.#####..####...#.....#...#..##..###..#.###.##.#..#.#.####..#...###.##...##..##.###.####..###.###....###..#....#..#.###########...#.##.####.##.##.#####.###..##...######.....#..##...#.#.#..##...##.#..###.##.....#.#.....#.#..#..##.###.###..##....#####..#...#....#....###..##.#..####.#####.######..#.#...#...#.##..###.##.#.#.#.##.#..####..##.######.#.###.##.#.###..#.#...#....#.#.....##.###.#...##.#...#.#..#.##..##.##..............###.#.###.#...###..#...#...#.##...#...#.###..####.#.......####..###..#...##......###..#######....####.#...#...#.##........###......#.####.#####.#.###.......##.##.###.#..###......#..####..#####..#.#...######.#.###...#.#.###.......#.#..#####.####.####.####.##.#####.#.##...#......###.#..#.#.##.#..#..###.##......#..#....##.#.#..#.#.###.#..##.#.###.#.###..##..##.#....##.##.#...###.###.####...#...####.#.#..##..###.#####.#.#...##.##.##.####..##.####.....#....###.#.####...######..#...#..#.....#.####.#...#.#...#...##.#...#...#.##.######.##...#######.#.#.######.#..####....##.#..#..######.###.####..######.....######.....#..#.##..##..#...#....#.#.##....##.####..##...#.#.#..#.#..#.....#..#.#.#####...##.##..#.#..#.#..####..##.##.#...#.#.....#.#.####.#...###...#.#......#..##.#..###...####...#..##.##.....#....##.###.#.##..#..##..######....##
#..#..#.#.##.####.#####....#.####.#...#...###.##.##..###..#..######.##.##.#..####.#....#.#.#.#####.#.###...##.#.####.#.#...##..###.##..#....##...#.#.#.###.....#.####..#.#.#.##......##.#.##..##.#......#....#...#.##.##..#.#..##.##...###.##....#.#..##...#.##.#.##..#.##.##..###.###....##..#..###.##..##..#..######..#.#.#.##.##.#.#.#.###.....#....#.##....#..#.##.#.#.##.###.#..#...######.##.#.####.##.###..#.#....#.##.###.####.##...###.#.#......##.###..##......#..##....###.#..##..###...##.#.#.###..#.##.#..#######..######.#....###.#.#........#..##.#.####.###.###.###.#.##...##...##...#.#.#...#.###..##..#.##.#.#####..##.#..###.##.#####..#.##.#..#..##.#.#...###....##.#.##.#.#......#...#.#..#....##......####..#.#.#...##..##...#.#.....#..#.#..##.#.#..##.#..##.##.#.###....#.##.#.#.#.######.#.#.#.##.#..#.#.#..#..#.##..##.###...#.##.####...#.#.....#.....##..#.#.#.#.#....######....##..#.#.####...#.##....#..###...#...#.##....#..##.#.###.....#.##...#####.##.#..##...#.##...#...#....##.#..##.##########....#.##...#.#.##.######.####.#..#.#....#.###...###...#.##.###..##.#.#..##..#.#####..#...##..##.#.#...###.#...##..####.#...##.#...##..##....##...#.###.#.##...........#...###..###.######..##..#.#....######..#.##.####...#.##.####..##.##.#.##....##.....###...###..####.#...#..#.#.#.##.####.#####..#...####..#....####.##..#.##...#.#..##.....##.##..#.###..###.#.##....#...#..#...#...##...#...#..##..#.##..###..#...#####.#.##..#.##..##.##.####.....#####.#..#.####.##....##..####..#..#.#....##....#.#.#......###...#.####.###.#..###.####...#....###.#.###.#.....#.#....##.##..####.#..###...#..##..###.#.#..###...#.####......#.###.#####....##....##...##.###.#.###..##..##.#.####.#.#...#.....#..##...###..##.#..#.###......##.##.##..#..##...##.....##...#..###..#.#...##..#.#.#.##.#.####.####.##..###.###...##...##..#.#.....##.....###.#.###.........#...#..#.##..###.###..#..##....#.##....#.#.#..#..#..##..#..#.#..##########.#....#.#.#........########.####.#.####...###.##..#.##.##..#...####..#...##....#.#....#####.##.
#..##...#######.....#.##.##..#..##.##...#.####.##.##..#.##...##.#..#..#...#.....#...#...###...####.#..#.##.#.##..###....#...##.##..#..####..########.##..######.#.#.#..#........#...#####...##.##....#....####...####...#.#.##.....####.###..#..##.##.#...###.#.##..##......##..#..#.##....####.#..##........#.....##...###.#..#####.#.##...#.#.#.#..#.####....#.#...#..##...##.##.#.##..##...###.###..#..#.......#.#.#..#.####...###..###...#####.#.##..#.#.##..##.##.#####.###..#.#..#..##.#####...###....#####..#..#.###..#....#.#..######..#..#.##...#...#....#.##..#....###.#####.#...#.#.#...#..##.##.##.#.#.#...#####..#..###..#.#.####...#.###......##.#....######...##.#.#.#.###....##....##..##.###...#..#.##.#.##.##.#.##.#..###.##..#######..#.##.##...#..#.#...##.#####...####..#.#..#.....#...#...##.#.#.#..###..#..##..#..##.#######...#.###..#.##..#......#..#.....#.#####.###..#.##.##..#..#.#...###.#.#####..#.#.##.######....######..#..##.###.#######....#####..........#..###..#.....#....##.##.#..#.#...###..###.###..#..#.#.##.##..##....#...#.#.###.###.#.##.#.#...#...###...#.#.#.##.###...###...#..##.#####.#.#..#..####.##..##..#..###.#....#..#.##.....#.##.#.###..##...#..#..##.###..###..#....####..##.#...##..##..#.##.##..#.####.#.#.#..###...#.#.#.##...#....#.####..###...#......####..##..###...#.#..#########..###.####.#.#.##.##.###..####.#.#.##...####..#####.#..#.##.#####.##...##..##.##....#.......#..#####.#...##..#.#####...#.....#.#####..#.#..#..##..#.#.....###.#...##..####.####...#..#.#.##..##...#.#.#..#.##..#..#####.##.##.#....#.#....#......##..#.#.#.####.#.###..###.#..##.#....##...#....#..#.#######.###.#####...#.#..###..#...##.#....##...##..#.#.#.####..#..#.##.#.#...#.#..#..##..##.##.#.#..#..#..###....####..######.##...####...#.#....#..##..##..#.###.#...###..######..#..#####.##.##.####..#####....#..##...#.#.#.#.###..#...##..#.#.######.##....#.###.#.##.##.....#.#####.......#.#..####.#.###.####..#.#.#..#...##...##......#.#..##....#####...#..#.#...###..###......#..#...###.#.#.#....##.##...###.##.
...##....#.#.#.#.#..###.##.###.##.##..#.##.#.##.#.####.######.......#.##..#.#######.####...###....#..##.#.......###.#.##.###..####.##.#####.#..#.##...#.#..#.#.#....####..#..##.##.#.##.###......#..####....##.#.##..##...#.#.#..####..#.####.#####..#..####....#......#...#.####.#..##.#.#.#.##########.#.#.##..#.....#.#..##..##.#.###.##..#..##.#..#.......##..##..##...#..#....#..#..#.####.######...#####..####..####.##.#..#..##.##.#.###.###.......####..###...#......##.#####.#.#.######.#..####.#..###...#...#...##..#.#..#..#.#.....##.##.#...###.##..######.###.#.#####.#.##.###...####.#...##..#.####.##.....#..#....#....##........#.#####.###......##.#..#.....##.##.#.#.##.##..#..#...#..#...#####..#.#.##...##....##.#.########.#####.###...###.####.##.##..#...#.###.###..#.#.#...##.####......#.#..#.#.......#....##.#.#.##...#####.....#..#..#...#.#####....##....#####....#.#..#...######.##...#.###.####..#..#.#####..#.....#..##.###.#..#.......#..##...#.####.##...####...##.#..#.....#.#.#.#....##..####.#....#.....####..#######...#..###...#####.##.####....#.#...#####..#.#.##..##..#.###.##.###..#....##.#....#.####....##..##.#...####.##..#...###..#####.##..##.#....#...####...#.##.#####....##..#...#.#..###.....#.##...#..#.#.####...##.#.###...###.#...#####..##.#..##.##...###..########..#.##..####.##.#.#.###..##....#......#..#..#..##.###....###..#..#.###..##.#.#...###.##.#####.#.#.#..###.....###.#.##..#.#.#.##.##..####.....#.##..##..######.#..######.##.#.#.####..#.###...#..##...#####..#.#..#....#.#..###.##..#..#.####..#..#......#######..#.###.########.#######.#..###...##...#.###.#..##.#.#..###.###.#####...##.##..##..#.##..##..#.##..###..#...##.##.###..#.##.#.##.##.##.#.##..#.#.#..#....##...#.#.........#..###..#.###..####.....###....#.##.#.#...##..#.#..#.#.##.#...##....#..####..##..#.#.###..#..###.###.##.#..###...........#.....#..#...#.#.#.####..#..#.###.##.......####.#.##.#.##.##.####..#.#....#.###.###...#.##.##.#...##....#.#####..##.##..###..###.##..############..#.#...##..#..#..###.#.#..####.#.
#.##.###..##....##.###....#.#.#....#..#..##..#..#.#.#..#..#.....#.###..####......#..#..##..#.#.###.#.#..#.##..#####.####.##.#...#.##.#...#.###..#..#.#.#.....#....##.#.#.##.##...#.......##...#.#..#.....###.#.#..#...#...##.#..#........#.####....####.#.#....#.#..#####...######..######.#######.###.##..###...####....#.#..###.###...####.....#..###...#..##..#....#.....#...#.##.##...#..##.###.##..######.#..##..##..##.#.#.###.#...#..###....#.###..##...#..#...#.###.#.#...#..#...#..##...#.#.#.#..#####.#..#.#..#..##.##.#.##..#.#.###.#.##...#.#..####..##.##.#..#.###.#####.#.....##.#...####...##..###...##.##..#...#.##.#.#....#.#.###....#..######.#.#...#.###..#..#####...####..##.#..#..#.#...#.#.#...#.##..#.##.#.#....##...#.###......#.#..########.#....#.....#..#.#####..##......#####.####...#.##.##..#..###..###.#..#.#.....#..#.#..#....#...#..#.#.#.####.#.#..######.#####.#..####.##.##..#..##..##..#..#...##.#.###...#.#..##.##.....##....###.##.#.#.###.#####.####...#..#.###.##########..#..#.#.#.##...##.#.#...#..##....###....###.#....#.#####.#.#...#...###........###..####...#..#....#.#..#...###.#.#.....#...#.###...#......#..##..#...#.###...##..#####..##.#...#####........#.#.#.....###..##.#.#.#.##.#.....#...###.#...#...##..###.#######.#..#.#..##.###..####..##.#.##.#.#.#.#.#...##...#######....#.#.###.#..####.###.#.#.#..#...##.#..#..##..#.#.#....#..#..#.#....#.##.#.....##.#.#....#####.#...##...#......###...#...###.....#......##########......##...##.#....#.######.#####...##.##.#####......##...##..####.....#########.####.##..#.#.#.......######.#.#..####.##..#...#####.#.#.........#.#...#..#...#####..##..####..#.....##.##....##.#.####.#####.##.##..#.#.#....#.#.##..#..##...###.#..#..#...####.##..#..#...##..##.#.#..##.#..#.#.#...##.#.##.#.##.##..###....#####.###.##.#....#..##.##...##.###.##.#....#.#.#.#.#.###.##.#..#..#.....####.##..##.#...###..##.#..###.#...#.#..##.##.####.###...#..##..###.#..##..#..#.....#..#.###.#.####.###...####......###..#....####.#..#...##.#..###..#####...####..###.##.##.#.
#.####.#..#.##.######.##.####.#...##.#.##.##..#.##..#.###..###.#.####.#####....##.##.####.##...#.#.#..##.#..#####.##.##...###.##.###...##.#..##...#.#####.##..#..##.##...###...##.###.##.########.#.##....##..#.#.###..#...#..#..##...######..###..#..#.#.#.#.##.#####.###.#.#...#.....#..#.##.##.#.######..###.#..##.##...#.##.....#.#..###..#..#.##.#..#.####......#.###.#.###..#..####..#.....#..#.##......#.#####..#..##.....############...#.####.###.####..##..##.#..#..#.##.#.#..#...##..##...#...#.#.#..###..#...###..##..####...#...#.###....####...####.##.##...#.....##..######..#.....##...##.###.#.####.#..#####.##..#..######.#.....#...##.#....#.####..#.##.#####.#..###.####...#..##..#.##.###.####....##.#..###....#.#.#.#.#.#...#..##...#.#.#....#.###.##.##..##.#..#...#.##..#.#.#.#.#..###.#.#...#.###..##.#.#.####..####.#..#..#....#......#.....##.#####.#....#...#.##.#..#.....#..##.#...#..#.#.##.##....#....##..##..##.###..#.#.#.#.#.####.#....##..#.##.####..##..######...#....#..##.....##.#..#...#.##..##..####.....#.##...###...#.######....#.#.#.#..#...#.#...##.....#...#....#.##.#.####..#.#.#.#..##.#.#..#..##..###.#####.#..##.#.#.#####.##...#...##.....##..###..##...####.###.#.##...#.###.#.##.#.#..##..##......#.###.##.#..####.####...#..###...#.##.#..#...#.......###..#....##.....###.#...#####.#.#...###.#.#.....#.#.#.##..#####.###..###.#..#.###.#.##...#..#...##.##..#...###.##..##...#.#..#######.#..#.##.##...###...#.####....##..#......#.#.#....#.#.##.###..#..#..#####...#.##.###...#.##.#..##..#...#.#.##.....#.#.#...#.#......#.###...#.#..##...#.#..#.##.#####..#.#.###.###........##..#.##...#.#..#..#..#.#.#.#.#..#..##.#.##....##.#..#...#.####.####.#.#.#.##......##..##..##.####.#.#..###..#...#######.###....#.....#...###.#.####.##....###..#.##.#.####....#.#.#..###.##..##.#.#...##....#.##.#.....####..#..#.#.#...##.......#..##.##..#.####..#.#...#...#.#.###...#.##.#.....####.#...#.###.#...##.##.#..###..#.##.....###..#.#.#.#.......#...####...##.####...##.#.#..#..#.#...####..#..##...####.#.....#.#.##.#
####.#.##..##...##..##...##.####.#........##.###.###.#.##.#..#...###.######...#..##.###...###..#.#..###.###...##.##.####..##.#..#.##...#.#.##.##...#.#.#..##..#..##..#######..#.######.#...#...#..##..#.###.##...##...#.##.###.#..#.#.#...#.#.####.#.##.#.#.###......#.##.##.##.#.#.##..#...#......#####.##..#.##..##..###...##.##.#.#.##.#.#..#..###.###....#..#.....####.#.#..##.###...#.######.######.####......#####.###..#....#....#..###......#.###.#..##.....##....##.######..#.....###..####....#.#.###..###.#..#.#####..##..#.#..#.#..#.#..........#..#.........#.#.....#..#..##.##..##..####..#.###.#..###..#####.####...#.####..#.#.#..###.#.#####...#.##..#.####...##..##.##.....#..###.##.###...##....###....#...#######..##..##..#.##.#.##...#..#....##...#..##...#...####.##...#...##.##.##..###....#####.#####...###...#.#.#.#..#..#.#.#.#.#.##..###...#.#.#.#.#.###..#.#.....##.#.###.##...###..###.#..####.##..#.###.##..#..##.#..#...##.##..#....##.#...###.###..#.#..##..#....#..#.##.#.#.##..#..##.#...#####.#.#..##.....###.#..#...####.##.####..####.#####..##..###..#.####.##....#.##..#.#.#..#####.#.####..#.#..#.#########...#####.#.##.#.#..#.#..#...##.##..#####.##.#..#.....####.#....##..##......#...#..#...#.##.#.#..##..#.##..####.#.#.#####.###..#..#.###.#.........###..#####.#.#.#..#.#...###...###.#.###..#.#.##.#...##....###....##...#....##....####.#..####..#..#.##.###..#.#....#..#..#........######.#.....##..##..#.#..##.#.#..##.###..#..#..####.##....#.#.#..#.#..##.###.#.####..#....#.##......#.##.##..###.....##..##.##.#.##..##.....##.###.##.....#.#.#.#..##.....#....###...#.##.#...##..#...###..###.#...##.#.#.##...#...#....##......##.####..##.###...####.###.#####.......#####.#.##..#.#..#..####....##..#.##....#####.#.#.##..#.###..##.######..##.##.##.##..##.#..#..#.#.##.######.#..##.#..##..#.#......#.#.##.......##.....#......###...#...###..##...##...#..##...##.#.#.####.#...##.#..####.##..###..##..#..#..#.#..#...#.###.##.#...##.###..#..####....#...#...#.....###.#..#.###....##.#.######..##.#..#..#.....##
#...#..##..#.###..#.##.###...#..###.##.....#.####.##.#....##...####.#.####.#.##.#.##.###.##.#..#.####.#...#...##.....##..##...##.#..##..#.####....#..#.#.###..#..##.##....##.#.#####..#.#.#####.....#..#....#..#####.##.....#.##.....#.#.##.####..###.###..######..#.#..#.#.##.###.#.##...##....#.#.#.#.####..#.###.......####.#.....#####....#.##.####...##..#.#...###.#.####.#.###..##.#...#.##.#..#.###...#..##.####.##.###......####.##.######.#.#.#####..##...####.#.####.......######..#..#.#..#...######..####...##..#..######..#.#.##.##.#..#####.###..########..#.####...#..#..##..#...#####.#.#....#..#.....###...##....####.#..#####..####.#.##..#...##..##.##.....#.#.#..##..#.##.#...#.###....###....#..##.....#....#.####.######.#####.##..#..#..##.##.#.##.##.###.#....##.....###.##..#..##......#..##.###..###.##.....#.##....##.#...#.##....#....###.###..#...#.#.#.##..###.#....##.#.##...#..#..#....#.#....#.#.##.#.####....##......##.#.#..#####..#####...#.##..#.#....#.######..#....###.#..#..#.##.......#.##.#....#..####...##..##...##......####.#..###........#####..###...#...#...#.###..#.##.###..##.###.#..#..##...####.#.#.###.....#....#..###.#####.#.####...####..#.##...####..####.#..#.#.####..#####.#..##.##..##.##.#.##.#.#.####.##..##.###..##....##..#.#.#..#.#####...##..##........##.#..#.#.#.#.##.###....#.#..###.#...###.#..#....#....#.##..##..#...#.#.####.###.#..######.#.###......####.###..##..#..##...#..#.#..##.###..##.#....####.#..#....#..#....####..##.###.##.#...####..#..#.##....#.##.##.#..#...#.#.##.#.###...#.#..#.#....###...#....##..#####.#..#..####..####.###.###...#.#..#....###.#.###.##...........#.....#.##.#...##...#.#.####.#.####.##...#..#........###.###...#.###.....#..########..##...##.####.#.#.###......##......#....#..###.#..#...###..###....#.##.###.####.##.#...##..#..#.####.#.##..#####...#..#.###.#####.###.....##...#...#.#.#.#.#.#.#.#..####.#.#.....#.####.#.#.##..#...#####.##..######..#...#..#..###....#.#.#..#.###...#..###.#.#...#####.#.#..#....####.#..###...##.###.###...####..#####
#......#####.##.#.....#######.####.#..##.###.#.#..####..##..#....##.#.#.....#.######...#.#...####..##.#..##..###..##....###.#####.#..#.....##..####.#..##.####..##.#.#..#..#.##.###.#......######..###.....###.#...#..##.....#.#....#.#........###..#..#..#...........#.##..##.#..#####..###....#..##..##.......##....###...##........#.#.##.#.##.#.##.#.###.#.##.###.......###.#.##....#..#..#.##...##.#.####.#.##.##..####.####.###....#.##.#..#.#..##.#.#.#...##..#.##...####.##....##...#...#.#.#...#..###..#..##...###....##.#..##....#.####.##.....#.###..#..###########.#...#..#.#.#.###..#.#.##.#####..##..#..###.#.....#####.###.#...##.##...#..###.###..#..##.....#.......#####.###...#.#.....#.#...#.......###.#..##...#.#.....#....#.##.####.##.#...#.##.##.#.#..#.#.##...##.#..#..####..#.###..#..##...#..####..##..#.####.####.##.##.###.########....###....######..###.##..###...#...##..#......#..#####..###.######........#..######..##....##.####.........##......###.##.#.#####...#.##.#.###.##..##..##.###...#...#......#.##..##..######...#....#..###...##...#####.#.###.......#.##.######..##.##.#..#...........##..##.#.##..#...###.#.##.##......#####...#...#....##.#..#####.#....##..###.#.#.##.######..#...........#.###....###...##.#.##.#.###.#.##......#.###.####.#.##..###..#.##.#.###.#.#...##.#.#####..#.#..#.##..#..##...#.#####.###..####....##.#..#...#...#...#.####......###....#.#.....###.##..##....##..#..##.##.###.#...#...###.##..#.#.....#....###.#.#.###.##.##.##...#.#...#.#..###.###.#.##.#....#####.#.#...#...##...#...#..###.#.....#.########...#####....#...#.#......#.#....##..####..##...#....#..#.#..###..#.####...###.#####.#..#.###......#.####..####.#..#.##.####.#.#...#.....##.#..#....##.#..#...#..#.......########.#.#....#.####......####.####...#.#######...##.####..#.##..###...#.#..#....#..#.#.###.###...#....#..##..#.#.##.#..##...##.#.....#####.##.#.#.#....#..#.#.####.#.#..###..#....#...#..#.....####.##..##....##..#####.###..#.##.#..#.#..#...###.#.###.#...####.#.##.##.#...#.###.###.#.#.#.#..#...#.###
...#..##...#.#.#..##...#..#######.#...#..###...###...###.#.#...##.##..#..####...####..####..##.#..#..##..##.#....##...#..#####.....####....#.#...##.#.##.#..##..#........##..##.#.....#..##...##.#.##...###...#..#...#..#.#######...#...#..#.......#..###.#####.##.....#.##...##...###....###.##.###.#####.####..###..#...##..#.#.####.#.#..#.....##..##..#####..#..##.##.####.#..#....##.#.##...###.#..##.##.##..#.###.###.##..#......##.####..#.###.#..#..#.###.....######.......##.##....##..#....#..#.####..##..#..#.#...#..#...#.....#######.#...#.####.####.####.######..#..###.##..#.#.......##...#####..##..###.#..###.######.##..#.#.##.#.#.###.####.#..###...#......##...#..##..#...#..#..#.###.#.####...##..........#.###....####....#.#.#.#####.#.#..##.....#...###.#...###.#.#.###.#.###..####.#.##..#####.#...#....#....#...#.#.####.##.####..#.#..##..#.#.#######.#...####..#.##..#...##.#..##.##.#####.##...#..#.######.##..#.#..####...##..##.##.#####..#.#..#.###..#######...####..####..#...####..##.#.#.###...#..#.##.#..##...###.#..#.##.##.####...###...#..#...#.....#.####.#.###.#...#.#.###.###.##.#......##...###.####.#####....##.#..##.#.#.#.#.#..#.#....##..#...#...####.#####.##..##..##.###.#...##.#.#####.#..##.....##..#.....######.#.###.#.#..###...#..#.#..#..#...##.#..#..#..#.###.##..#..#.####..#..#..##.#.##..#.#..#.##.......###..#.###.#..##...#.#.#..#.#..####.##.##.###.##.#.#..##..#..##.#..#......###.##.....#.##.##..###...#....#.#.........#.#..#.#..#..#..#....#.#.###.###....##.##.##.#.#....#.........######.#..##.#.....#.####...#..#.##..#.###...##.#....#..#..#.##.##.##..##.#..##.....##..#####........##..###........######..##..#....###...#.####..##..#.#.####.###.#...#.#..##.#....##.##.##..#.###.#.##.#.#..#.###...#.#.#.#.#...##.##..##.#.#.#.#..##.##.##.##..###.#.####...#.#.......#...##.###.#..#.##.###.#####..##.......#.##..##.##..#.#..#..#..####...###..######.#...#..###.#....#.#..##..##..#...#.#.##.#..####....#...##...###.#..........##.#...#..##...#......##...##.#....#...#.#..###########....#..#.##
#..#####.###..####.##..######.##.###..#........#######..#.##...#####..####..####.##.####.#....#.#.#.##..###..##.#..##..#..###.#..##.####..##...####.#..#..##....#...#.#...#...####.###...##...#.###....###.#..#####....######...##.#####...#...##.#..#######.#.###...##..##...######.###.##.##....#.#.....##....#...########..#..##.#.#.#...#.#...##.......######...#.##..###.##.#....#.###...#####....#...#...###...##.###......##.#...#...#..#..#...#.#...#...###......#.###...#.###.#####.#.....##..#.#.#..#.#..#..##..##.######....####.#.#.##..#..##..#..#.#...#.####..#..#.....##.##.#.##.#.#.#..#.###...###..####.....#.#...#..###.#######...##....####.#....#...###.####.#.#....########...##..#.....###.##.#..##.##.#.#...#.#......##..###.#....#...####..####.##.##...#..#...##.##....#.#.#......#.#..#..#..#.#..##.#.#...#.###.#...#..##....#####.#####.##.###...##.#..#####.....###...##.....#..#.##.#.#..###..#.##.....#......#.####..###.##.#....#..##..#.......##.#...#..#....##.###.#.###......##....#.#...#..#.##.#.#...#.##.#......##..#.##...##....#.##.#...##...##.###.#.###...#.#..#..#.####..........#..#.##.#.#####.#..#.#.####.##.###.#.#.#....##.##.##....##.#.#.##....###..#..#.##.....###.#.#####...#.#######..#.##....##.###.......###.##..#.##..###....#####..##.....#.####.#.#.###.#...###..###..#....#...#.###.###..##..#.#..###..#.###...#.#..#........#.#..####...###...#...##.#.#.###.##.##.####.....#.#..#..#..#.#.###.#..#.###..###..#...#####....#..#####.#.#####.....#...#..##.###.#.....######....#.##.##.####.#.#..#.#.#.#########..###..#...##..#####..#.#....#.#..#.#.###.###.#..#.#.##.#.#..#.####..#..##.#....######..####..##.#####.#.#....#.#.##...#..#.##.###..###...###...##.##.#..##.######.#.###.##..#..##..###.##.#..#..###....#.#.###....##..##.#..##.###.....#.......#....###.##..#######..##..###..####......#..#....###.#######.##.....###..#..#.....#....#.#..##....#.....####..#.#...#.....#.##...#.....#.#####.#.....##..#.#...#..#.####...##.#.###...#..#...#.#.#.##.#..##....#.....#.##..##......##.#..####.#..#...#
#.#.#.##.#..#.###.###.#..#..###....#...#.###.###.##..##.#..###.#######..#####..###.##...#.##.#.#####.#.#####.#####.#..##..#....#.#..#####.#....#.#.#..#.#.###.##.#.#..#######.#.##.#.#.#.##.#..#..#..##....#.###.##.#.##.#....##.#..#...#..##.####.#..##.###.###.#.##.##.....#.##.##..#.####...####.#...#...##.##...###.#...##...#.......######...##.#..#####...#..####.##...###..#.###.#....#.##..#.#.#.##.##...#.#..###.##.#..#.........##.#...####..####..##.###...#.##.##.......##...##.#.###.....######.#.#.####.#.#..#...##.#.#..#....####.#....#..#..#.#..###.#..#.#..#.#..#.#....#.#.#.#.####..#..##...#..#####.####....#.##.#...#..##..#..#.#...#.###.#.#..####.#.#.#.##.#..#.###..#...##..#.#.#.#.#......#..#.#.#.#.##.##.#..#..##..#....#.#.#..#.##############..##.##.#.#...#.#####..#.#.#.....#..##.#.#.#....##.......####.####.........##.###.##.####.....#..###.#.#...#.####.#..#..#..###.#.###.####...###..#.##..###..#...##.##..#....############.#....#.###.....##..#.#...#..#...#.#..######..#...##.####.....###...###.#.#.#..#..###.#.....#..###.#.#..#.###..###..#...#.##...##...#..##.#..#.#.##......#...##.###.######.##..##.##.####.#.#.#.##..#..##..####..###.#.##..###.#..#.##.#.#..###.#####.....#...####..##.#..#.........##.##.#.#........##.........##..#..##.##..###..##...####.#...##.#.......#.#..#...#.##.#.##.#.....#.##..##..#######..#.#..#..#.##.#.#.#..#.#.####...####...#.##.######.##...#..#....###.#..#..#.#...##.#...##.###..#.#...#####...##.####.#..####.#...#.#####...##..#.#.##.#.#.......#######..###.##.##.####.#..#####.##.##..#.##....##...###.#.##..#####...##.##.#...#.#.#....#.##..#...#..#..##.#..#.###.##.##....##.##.####.##....#..........###....#.#.###.##..#...#.#..#.......#.##.###..#..##..#.#.#..#..##.##..##.#...##.#.##.#.###.#..#.#...#.###..........##.##.#.#.#....#.##########.####..####.##.#.#.###.#.#.###.#.##.#.....#######.##...#.#..#.##...#..##..###.##..###..##...#.##.#.#.##...#...#...#.#####.......##.###.#.###.#..#.#####..##.####..#.#.##.##.#..##.#.#.#.#.....#..#..#..#..#.#.##.#.#.#..#..###
.#.#..#..#####.###.#.##.##..###..##..##.#..##.##.#.#.####.#.##.....#..##.#.##.#.#######..#...#.##..##.##.#.......##.###...#..#..##..###..#.##.#.#.#..#####...#...#.##.#..#.#...##.#..##########..##.....###..##......#####.#.#..#.##.#..######...#....##.......#....####..#.##..#..#.#######.#.#.#.......#.#######.#.##.#..##.##..#......##..##...#.#....###.#..#.###.###.#.###..#.#.#..####...#..##.##.##...#...###...###.##...#..#...##.#..#..#...###.#..#..#.#..#..#......####....###.##.##.#...#..#......##..#.#.#####.#..##...###..##.###.#####..#..#.#.#.##....###...#..#.#..##.#.##.#..#....##.#.##.######.#.#..#..###.#..###.##..##.#.##....#..##.#######.####.##.#.##.....###..#.#..#.##..##.#...###.##...#...#.#.#..####....##.###.#.###.#...####...#.#..##.#.##.##.#.#.#..#....#..#...##.##...##...####...#...#....#.#.##...##....###..####.#.#..####..###......##..#.####...######.###.#..#....###..##.##.###.#.#.##.#.#.###.####.###...#...###.##...#..####.....##..#..#...#.###..#.##..#.##.###....#.#.##..###...#.##.####..##..#...#....#..#...#..#..##...###..#.#..##..##.#....###..#...#...#####....##.#...#...##.....##.#..#.###.###.###..##.##...##.#.##....#....##.#.#######.#.######..#.#..###.##...###..###.#.#.....##.#.#..#........#..####..##.######.#..###........##....#.#####...#.#.#..#.#.#.#.....##.#....####.###...#..#...#..###........#.#.#...#..#..##.#.####.#.#....####.#.#.#.#.##.###.#.#..########.#..##..##..####.#..##.#.#.#..#.#...##.#....##.#######.##.#.....###.###.###.#.######...##..#.#.##.####..#.#.....#....#..#..#..#.##.###.###....##.#####.##.######.##...####.#.#.#...####.######.##..#.#.##.##.#.#...#.#.#..####..###..#.#.##.#.###.#.#.#.#.##..#.#...#........#.##.#.##.####.#...#.#..#......#.#..###.#..#.##....###.#.##..#.##.#..##...##.##..#.#.#...#.##.###.#.......#..#.#..#.#.#.#.#.####.########.###..###..##.#.#####.###....#..##....#######.##.....#####..#......##.##..#.##.####..#.#####.#.##..##.####.##.####.#..#####..#.##..##.....#..#..#..#..#......#....#.#..###.#.###...####..##..##.....##.#..##.#.....
.###..##....#.###..#.##.#..##..#....##.#.#.....##...##.#.#####.####.####.#.#.......####..####......#####..#..#.#..#####..####..##...#...###.#..##..#..#.#..#####..#.#####.##..#.#....###.#.######..#...#....##.#..####..#.#.#####.#####....####.....######.....#..#.#.##...####..###...#.#.##.##.#...##..##.##..#....###.##...#..#..#.#...###..##...##..#.###.##...#.#..#..#.#.#...#####.###..####.#.#.......#.#..#.#..#...######.##.###..##.......##.#.###.#.#####..####.####...######.##.#..##.##..#..##..#..####.#.#.###..#...#.#.#.....#.##....##....####.#####.###.....#..##.#....##.#.###.##.##..#..#####.#.##..##.###.####.##..#.....#.####.....#...#.#.####....##.##.#.###.#.#...#......#.......##.#.###..#.##.#####..##.#..#.##.#.####.#.##..#.#.#.##.##..###.##..##...#..#.##.###....####..##.#.#.....##..##.##...#..##..###..##.###.#.###.##.#.##.#...#..#...#.#.......#..#.#.#.####......##..##.######.#...#.#..#.##.##.###.#..#.######.#.#.....#.....#.#..#..........#.#..#######....#.##.#.#.####.##.#..#..##....#.##.#.#.#.#..#....#..#.####..#.##....#...###.##.##..##....#..###...##.#.#.#.##...#....##.#####.##..#..###..#.#####..########...#####..##.#.####..###.###.##.#...##.###.#..#..#####......##....#..#....#....#..#...#...###..##..##.#......####..##.###.##.####.###.######.###.#...######.##.##.##.....#.#....#......#######.###.####.....##...#...#....####.#.....#...#.##..###...##.####.#.####......######.#.#..#.#.###...#..#######...#...#.##.##.#####.###....#...#...#.###.#...##..##.#####.#.###..#..###..#####.###.#..##.#.####..#.###.###..###.##.##.#...#.#..#..##.##.#####.......#.##.#....#####..#...#.#..##.##.##..##...###.#####.....##.#..#.####.#....#..#....#.#.####.#.####.#.#..#....##....###.###...###..#.#.#.##..##.#...#.##.#.#..####.#.##....##.##..##.....##...##.#...#.##.#.#.##.#.###.##....#######.##.####.##.#....#.#..##.######.#.#.#...##..#.#.#.##....#.####.##.#..#.#.#....#.#.#.#.#.####..##..####..##.##..#.####.#..###.##.##..###..#.##..#...##...##.#.#.#....#.#.########..###..#..#....#.##.##.#.#.#...#.#.#.
.###...#..##..#.#.#.##.#..#...###......###.#..#.##.##..#...#.......#.#...#...##...#.##.##.#.####..#.##.##..##.###.#...#.#..#..#..#.###.##..###.....#.###...#.#..##.#####...##....####.#...##..#...###...##....##.#.##........#.###....##.###.#.##..#...####.##.####.######..###...##........###.#######..####.###.#.#...#.#.#.##.#...#......###.##.##.###.#..###.#.#.#......##..###....######.###.....#.##.....#..#.##...##.#...#.#.#..#..###.#.##.....##.#.#...#.....#.###...##.#####.......##.#.#...#...#.#...#.#...##...#........#..#..#..#.#.#.#####.#...####.#.##.##.#..#.#.#.##.##....#.#.#.#.####..#####.#..##.##..#.....#.#..#.#.#..####.##.#..#.####..##..###...#.#.#.#.#####...#...#..#...##.##.##.##.#####.#.#.##..#....#...##.#...##.####.#...##.##...####....##..#.#.....##.#.#.##..#..#....##...#...##.####...#....##.##.##.###.#####.###.###.###.###...#...##..##....#.###.#.#...#...#..#####.#.###.###..#...#..#...###..#..#.#.#..#..#.###.##.....####.....##.##.#..#....#..####.....#.#..##......#.####.#..###.#..#...#.#.#....##..#...####.......####....#...#.###.###.##..##..#..##..##..##.#.#.######.##..##.#...#.#......#..#..#.##...#.#....##.#.##.....##......#...###.##..###.##..#....##.#.#..#.#.##....#####....##.#...##..#.#.#...##...#.#....##...#########..###..#.####........#..####.#####.#..#.###.##..###.#.#..#.##.#.###.#..#..#...#.#.##.##...#......####..####.##.#..#...##...#.###..#..#.####...##.###....#....##..#.#.#..##.#......#..#.##.##.######..##...#...###.####....######..###.#.#.##.######......#....##...###..##.#.###...##.#.##...##.###..#.#.##...#.#######...##.#..#.#.##.###..#.....###..###..##.#.##...##.#..##.#..###..##..#..#.##.####.#..#...#.######.###......#####...#..#.#.#......##.#..#####.##..##....##..#..########.....#.#.##..##.##.##..#.#.#..#.......#...####..##..##....#.#.#.#..#.###.###..##.###....#.###.###.####..#.....##.#.####.#.###.###..#.###.##.#.######..##..#..#...##.#..#####.#.#.....###....####.#..#####..##.#.#.###..##...##.####.#..##...##..###.#####..###.####.#..#####.#.###...#####...
###.##.#...###.....##.#...#...###.####..#.#.#..##......##...#..##...##...##...#...###.#..#.#....##.#.###.#.#.##...##.###.#...#....##.###.#.#..##.#.#####..#...#.#...##.#####.#..#....#.#..#####..#...###.#..#.#.##.##.###..##.###.#.##.##.##.#..#..##..#.##.##...##.##..#.#..######..####.#..###..#.####...##..#...##.#..#...###..#.##..#####.#.###.##.##.#...#.##.#...##..##.........###.#..###.#.#..#...#.....#.....###.#.......#.##.####.....#..#..#....###....#......#.##....##...##..##.#.#..###..#.###.....#....#..#.#.#.#..##.##.#......#.#.#.#.#.####.##...#.###...#.#..#...#..#..##..#.##....#..###.######.#..#..##..#..####.#...#.#.#........#....###....###...#..######.#.#..##.#.#..#..##...#.##..........#...##....##.###...#####...#.####..###.#######.......#.####...#..##...#.#..####.##..#..#.###.###.#.#.#.#.#.###.##.##.#..#.#.###....#..##....###.##.#.##....###...#....##...#...##.....#.####.....#..#####.##....##.##..#...#...##.####..#.#.....#.##..#.##..#.#.#.#..###.##...#..###......#...####.#..###.#....#.#..#.##.#.##.##...##..#.##.....####.#...#..#.####.##.#...#.##.#.##....##.......#..###.#.####..##..#.###...####..####.##......##.#.#......###..#.#.#..#####...#.#..#.##.#..##..###..##.##...#.....#.#.....##..#####.###..###...#.###..#..####..###...#...####..#.#...##....##..###..#...##.#..####....#...#..###..###.#....##...######.#####....#..##.###.###...##.##......#.##.#.#..#..#.#.##...#..#.###.#..#....##.###.###..#####..###...#...###.#.#####..#...###...#..##..#...###.####...##.....####.#..#..###...#####..###.....##.##.#.#.#...#...##.#.##.#..#..##....##.#......##....#.#..##....###.#..###.#..#..####..##.#.###.#.#.######.#####.#.##.#..#..#..#...##....#.....##..##..#...#.####.##..##.##..#.#..##....##.#.##..###.#.##..#.#.#.#...##.##.#..###....##.#.#.###.##..#.##....#.#...#.##...###.#...##.#.#.#.#...###..#####.#.####...#..##.#..####.#...#.#.#.#.###.####.#....#.#...##...##..#.#..##.##..#...##..#..##.######.#####.###.###.#.....###....#...#.###.##..#.#.#.....#.###..#.#.#....#..#.##.#.##.##.#...#.#.#
###.#..#.##.##..###.#####.####.#.##..###.####..####.##.####..#..#.##...##....##...#.......#.#..####.##.#..#.####....#.#.##...#...#..#..#....#.#.##..##..##...#####..##..##.####...####.#.###..#.....##.#.#.####..#.#####.#.#.#..##.#...##.#..#..##......##.#.#.#.#...#..###..###...#.#.#...#.##.#....###..#....#.#..##...........##.#.#.#..#.##.##...#.....#...###..###.......##...####.#.#.#.#.#.#...##.####.#..#.##.#.###..#.###...###.###.##.#...#.#..#..#...###.#.#.#..#####.##..##.##.#.#....##..#.....##.#.#..#..####......##........#.######.#.#.#.....#.#.######..########...#..#...........###.#..#.#.#.#.#.#..#.#..#........###...####.#....#.###.###..#.#.....#########...#..##....#.##....#....#..#..##....#.#####.##..###......#.#..#.##.###..#.####.#..##..####.##..###....########.#.##.#....#..#.#..#............##.###..#.#...#.#.#...#....#...###....#####....##.#....#.....#...#...#.##...#.#...#####.#.##....#..####.#..#..###.##.##.#...#.####..##...#.#####..######.#.....#.####..#..######.#..#......###...#....#..#.##.##..#..#.###.#.#..###.#..#...#####.#..##.#..#.##..#.#.....##...##.#..##.##...#.##.##....####...#..####..###....##....##...#.###..#..##.####.##.#..##.#.##..#..#..##.....#.#.###.#######...##..###........##.##....#..##.#####.#..####..#.#.##..##.#.######...#...#..#.##....#.##.#.##...#.##..#..##....#....##.##.#####.######.###.##.###..#######....##..###...####.###.###...##..##.##.#.##..#..##.#..#.#.....#.##.#..#.#.###.###..#.#..##.#.#........#..###..####.####.##..####.###..#.#....#.#....##...####.#######..#.#.#........###.#.....#.##..#..#.#..#.#.#...##..##.#.##....####...###.##.#.#.#.#.....###.#.####.##.#...#..####..#....##.##..##...#.#.#..##..#####...#.#..####.####.##.#####......##..##.........#####........##.....#.###..#..##..##..#.....#.#..###.##....###..##...#.......##..#.....#.##...##..##..#.#..#####..#########.....###..##..##.####.####..#.....##...##.##.###..####..#.####..#.###...##.....#.#.###.#..#..#...#####...#.....###.####.#....#.#.#.#..###..#.##.....##.###..##.....#..#...##
....#.##.####.#..#..#.#..###.#..###..###.....#..#..#..#.#..#.#.###..####....#####...#..#.###...#.#.##.#.##..##.###.##.#.###.#...##.#.#..##.####....#.#.#..#...#.##.#.#..###.##.#......##.#....##...####.###.##.#...#....#####.##..#.##..##..#..####....#..###...#.#.##....#..##.#.#.####.#.###.#..##.#..##....######...##.#.###.###.##...#...#.#.....#....##......####..#.#....####......#.#...##...#####.#.#.....#.#...###.#..#.#.#####..##...##.####..###.#.#..###..#..#####.###.#.#....#......####.#...#.#####.#...#..#.........#..####.#.........#.##.#.#.#.###...#...###...##.##....#..####....#####.##.#..#.#..####..##........#####...#.....#####...##...#.###.###.#....##..######.####..#...#.....##..#.#..##...#.#.####..##..######.##..#.#...###...#..#.###...##.#.###......####.#....##....#.......#.#..##..#.#....###..#....##.#..###.###...#####.##..##..##.#.####..#.#....#.#..##.....##.#...#######.#.#..#..##..#...##....#...###..#.##..#......##.###.#..###..#....##.#####..##########.....##........#.#....##..##.####.......##..#.#####..#.#..##.#.##.#.#.#..##.####.#.##.##..#.#.##.......#...#..##...#.#..#...#.###..#...####..###..#####.##.###..#..####.#....#.##.#######.#...###...##...#.......#####.##.####..#.#.###.####........###..#####.#####..#....##.#########..#..#######...##...####....#.##..#.#.##########...###.##....#.#..#.#.#.##..#......##..##..#..###......##.....#######.#.#.###.####...#.#...##.##.###..#.####.##.#.#...#....#...##...#..####...##.##.......#####.#.###.....#.#.##...#.##....##...#...#.#..##.#..####...#...#####...#.#...###.##.#...##.#####.......#.#.##...##....####....#..##..#.#....#...###.#.###..###...#.##.#..#.###.##....#.###.......#.#..##.##.....###.##..####.##...#..##....##.###.###..##..##.#...####....#.##..#.##.######..#.#####...#..#.##..##.#.###.#..#..###...##....######..#####..#.#.##.......##.###.#..##.####.#....##.#.##.#.#.#..########.....#..###...#....#.##.#.##..###.#..#..#.#.#...#.#...##..######....#.##..#####.####.#..##....#.#...#...#..#.....#..#....####.#....##.############
#....#.##.....#.###..#..###..#.##.#..#.#.#..##..#.#.#.#...#..#####......##.##...####.#####.#.#####.#.#.#..#..##.##.##.#...##...####.#..#..###..#.#.##..###...##..####..#...###.#..###...####.#.#.#.##.#....#...#.##..####...#..###..#.####.....##..#.#.#.#..#....##..#.....#....####.#.#...#####..##.##.#.#..#...#.#########.#..######...#..#.#.#..##############.#..##.##.#.#.##.##..##.#...##.#..###...#..##.#..########......#..###.#....####.###.....####....#..###..#..#.####.....#..#..##..#.###.#.....#.##.#.#.#...##..####.###.##.#.#.....#...##.#.##.###..#####..##.####.##...#.###.##..##.#.###.#.##.#..#.#..#..##.###.####..##.#...#.##..##.##.###.####..##..#......#####......#.##...##.#.#...#....###.##......#.#.#..#.###.##.#####.###.#.#...#...#.##.######..##...#.#######.#.#....#..#....##.#.......#..#...#.#.#.#.#..#.#.###.#.##.##.....#.##.##.####...#.##.#...#####.#...#...##.#.##.......#....#.#..#.##.#.##.##.##...##.###.....##...#.#..###.#..#..##.##.#..####.###.#.##.#.###..#..#.#.#.##.##..#.#.....#......#..#...#.###.#..###.#.....##.#.###.....####..###....#.##.#...##.#.###.#.#######...###.##.##.#..##...#.##..###...##########.#.##......#.######.####.#........##.##..#..##.#.........#.#.##..#..###.###.....###.#..##.###.###..###.######...#.#....#.#.#....#.#..#......####.#..#.#.#....###.###.##.##.#######.#.#.....#.#.###.##..###.##.#######.##.###..#..#.#..#.##.###....###...##..##.#...##.#.#.#...#.#.##.######.#....##........##.##.#..#..#.####.##.#..#...#.#..#.##.#.....#####.#..#.#.#.#..#..#..#.#.#...#...#.#....#....#.#....#...#.######...#.#.###.###..##.###.##...#.#####........#.....#....####..#####...#.#...##..####...###.##.##..###....#.##....#...#.#....#.#...###.#.###.#.#.#.#...#####.#.#..#.#..#.#...#.#.##.#.#.#.#..#####..##...#..###......###..##.#....#.###..######...#..#.###...##.##.#....###..#....####.##....###.###..#..#...#...#....#.###..#..#.#.#.##.##...#...##.######..#.##..#.##..###.#.#..#...####.##..####.#.#.###..##...#.#.#.#....#.##...#####.##.....###..##.#.###.#.##.#.#.....#####.#..##
#..##..#..#.#...##..#.####.##.###.......#.####.##.###.....#.....#.#.##.........#....##..#.#....#.##...#.####..#.#.#..##..##..#.###...#....#.......#.###.#####...#.#.##..###.##.##.#..#....###.#...#..####.#.#..#######...#......#.#...##.###.#.#.###..#.###........###........#...#.####.#.##.#.##..##......#.#...###..#.#######..#.###.....##..##.#...##....###...##..##...#######..####..#.###...#...##.#.#....#.....####.#..#.....#.#.#...#####.####..###.....#######..#...#.#.#######.##.##..#..##......#.####.######.####...##.###.....##..####.#.......###....##.#.###.####.####.#####..#.##..#.....###.####..########.##.##.###.##..###.#....#.###.##.#.#.###.#..##..#.#.##.###..#..##..#.#.#...####..#.#..#..........####.##..#...#.......#.###.......#..####.#######..##..#..#.#..####.##....#.#.#..#......#####......#.####..#...#...##.###.#.##...#.##....###....#....##.####.####..#####...##.##..####..##.#.##....####..###..#........#.###..#....#..#..#..#..#.#.#....#####..##.####.#..#.##.....#...##.##....####..#..#..#...#...###...##...#..##.#..####..##.##...#.......#.###......#.#..#.#..#......#.#.#..##..#...#....#.##.###.####.#.#...##.#.#...###..#.#######.#....#.##.#..####.##..##..#.###.##.#.#.##.########.##......#.#...###..###..#.###.#..#...##.########..####...####......#.#.#.#.##..#.#####.#.#...##.###########..###..#..#....#.#..##.#.#######..##.#....##.##.##.######.#.#####.###...#.##..#.#.#.#..#.#..#..#..#...#..##...##.....###..#.#..#.#..###.##.#.#####..##.#..#.#..#....####.##...#..##...........#.###......#.#....##..##..##.##...#.##..#.#.#.#.##..##.#.##.##.##..###.###..#.###.....##..#..###.#.#..####.##..#...###..#....####..#..#..#..##....#.#..#..##...#.####.#..#.#..####.###...#####..###.#..#.#...#.##..##..###..#.....#...#.........#.....##..#..#.###.#.####.#.#.#...#.#.#...###...####.#.##..###..###...#.###..##...######..#.#..#.....####.#.###.##.#..###.########.....#...#.##.#...#.#..#.#####.#.#.#.##.####....##.#.....##.##.#.######..#...##.###..###.##....###...###...#...#..###...#....####....#..#..#
.###.##...##...#.##.#.#####..#######.###.#..#########...#.##..####.#.#.###.###...#..####..#...#..##.#.#.##.#....####..####.#.#..##.####.###.#####..#..#..#...#....#.##......#.####.#..####.##....##.#.....###.###..###......#.#..#..#..#.##...#.#..#.##.....##..#####..#.#..##....###.#.##..###.#.###.##......#.#...#.#...#..##.#....##.#..#.######....#....###....#...#.#...###.#..#....##.###..#.#####...#..###..######.##.###..#.##..#.####.#.##..##.........####...##...##.#.###.##.#..#..#.#..#.#.#.....#..#.#..#.######....##.####.#....##....#..#....##..#.###.##..#.########.#..###.#.#.#.#.##...#.##.#.....######..#.##...####...###..#.......#..#####..#####..##.##....##..###..########..##..###..#####.##.##..#.######.#.##.##.###.#....#####..#.####..#..#...##.#.###..#..##########..#.###.#.###..#...##.##......#..#.#.#.###.#.....#..###.#..#....#..#.....####...#.###...####.#.#.#.####.#.#.####....#.#.#...##...#.###.#.##..##..##.#..##..#.#.#..#..###.#.#.#.##.##.#.###.##..#.#.##..#####..#######..#.......#....#.#...###.#.#.##.#..####..###.#...#..#.#.#.##..###..#.##...##.##..#.########..###.#..###..##....#.............#..##..#.###.##.#..##..#.##..###...#.##..#.#..#..#...##....##....###.#.##.#...##.#.#......#.###.######.#.#.#..#..#.###...###...#.##.##...##..###.##.####...#......#####.#..#.##.##.#..####.###.##.##..###.#...#.#...#.#..#.#####...##...#.#####.###....#.#..#.##...#.#.#..#..##.#.##..#####.....#.###.##.#.###..####.##...#.##.#..#....##.#####.##..####..###.#..##.####.#..####.#.#.#.##..#.##.##..###....#.#.##.###..####...#######.##.#.#.###.#.##.##...#.###...##..#.##.###......##.##.#...##...###.#..#.#.##.##.#..###.#.......#..##.#...#.....##..#.#..#...#.....##..#.##.#.#.#.#..###.....#..##.#..#.......#..#.#.#.##.##.#.###.##.#...##.##...#.##..##......#.....#.#....#..#########.#.####.#.###.###.#.##..###.#..##..#...#...##.#.##.###.#.#.###.#......##..#.###.####..#......#..#.###########.......####..#.####......##..#.....###........##..#.###..##.####..#..#.#..#.#####..#.....#..##..##..#..#...#.###...
####...#.....####.#.#.#.##..#.##.......#.#.##...##.####.########.#.###...####..#.##.#..###.###.#..##.#.#.........##.#..#..##.#...##....#..#....#.##.#.####.#...#..##.###..#.##...##.#.#..#...#####.#.##.###.######.####.##.##...######.#.#.#.##.#.####....#.#.##.##....##.###....#.###..###..#.###....#####..###.#.###.#..##.#.###.....#####.#..#.####.#.###..#.##.#####.###.#.#...##...##...###..########..#..#.##..######......#...#.....####.#.#.....##..#......#...#..###.####..#.####......##.#.##.##.#.......###..#...##....#.#.###...#.##..#.#.####.#...#.####.#..###....#...##..#.#.#.....#.....##.......#.#..#..#.##..##.......####.#####...######...##..#.#.##.##...##..#...##..######...#.###...#####.######....#.#####.#.#...##.#....###.#...#####.#......##..###..##..#.##.#.#..#.#.##..##...##..#.....#.#####.#.##....#..##..###.#.#..#.##..#####..#.##.####.###.#.##..#......##.....##.####.######.##.###..#...##.####.###.##....####.##..#.###.##..##.#.#..#..#..##..######.#...##.#..##..#...#.##.#####.#...###..##..#..########...#####..##..#.###.##.##.#####..##..###.......##.#.......######.#.####.#...##...#.#......###...##...###.##.##..###..##...#####.####....###.##..#.#####....##....#.#....##..#.##.##.###.####...###.###.#....#..##.###.####...###......##.##.#####.#.#.#.##.#.##....#..#.#######..#.##.#.#..#..#.##...#..#..#.#.###...#....##.#.#...#....#....####..#..#####....##....##.##.#...#..#...#.#......#.###..#..###.###.#..#.#.#######.###...#...#..####..##.#.#.#.#.#..####..#.##.#...####.#..#...#.#......##.##.#...#.###..##.##.##.#.....#.#.######..##.###..#..##.......#.#.#..#.##..#..#.....##...#.#....#.....####.#..##.#.##.##...####.#.#..###.##.#.#....#.#.#..##.##.#....###.#....##...#.#.###......###.#.#####..#.......#.##.#.##.#######.#.#...##.#..##.###.##..##.###.###...#.#.#.##..##.#.#########.###.#..##...####..#..#.#.#.#.#.#.#.#...#...#.###..#.#.###.#.##.#.#..#....####.####.#..#...####.#..###...####....#...#.###..#.#..###.#..#...#.#.###.##..###.#.#..###....#.#...#....###....##.###.##.#...##.##.##..###
##.#..#.......#######....#####.#..#.#..###.#....#.####..#.#..######.....##.##.##..#..##..###.#..####.###..#....#......#.##.###.#.....##.##.#.#....##....###.#.#.###..#.#.###..#.##..#..##.##.#####.#.#.####..##...##..#....###.##..###.#...#..##...########.#.##.##..####..##.#.....##.#.##...#.##..#..###..#.##.####.#.....#.##.##..###..##..#..###...#.##..#..##.#.#.#.#..##..#...#..#.#.....#####.##....##..#..##.#.#..#.##.#.##..#..##..#..#######.##............#.#####.#.###......##..#..#..#####.#.#.#..#####..##..#.#.##...###.##..#####.#.#..##.#####.#...#......#....##.##.#..#.#..########..#.###.....#.#..##.###.###....#####.#.....#.#####..#.#....##..#.##...#..#.##.#...##..#..##.#.#####..#..###..####..###..#.##......#..##..##.#...#..###.##...#.###.#####...#.#......#..#.#.#...####.#..##.##.#..#.#.#.####.##.##.#.#..#.#.#.....##.###....#.####.##...#....#..#.##.###.#..#..#........#.####.#........#...#...#.##.########.##..#..##..#####.##.##.#.##..#.#.....#..##....#.##..#.....####.###..#..##.#......##.#.##.##...#.#####..#....#.#...#.###.###.....###.#.#....##..#.#.#.#.##........#.##.##...#.#.#.#..#....#..##.#.##..##.#######.####.......##...##..#.##.#.#.##.##.####...#.##....###..#.#..##..#.....#.##....#.###.#....#.#######.#...#.##....#..##.##.####.#.######..#.#.#.#...#.###..##....#.....##.#.##.......#.........###.#.....#....#.....#.......#..#.#.##.#.#####.#..####.#....##..#..#######..#.#...#...#..##..##.####.##.##..#...##.#...##..###.....#.#......#.......##.#.#.##.##..####.#.####..#.###.###.#.##.#..##.##....###.....##..#####.#######...#..####.#....#####....#........####..#######..##...##.#.##.#.#.##.##...#####...#.###..###..##.#..#....#.#.##.#.##.##.##..##.#####..#..##.#..#.#....##.#.#####.#.###..#.###...#..#.##.#.#.#.##.##...#...#.#.#.#####..###..#.####...###.#..#...#.#.#...###.#.#..##..#..#..##...#..#.###.#####.####.##..#....#.#..#######.....#...##.##.##.#...#.#..###.#..#####..#..#.##..##..##.#.##.####...#.##..#..#..####..####..##.#####..##.#.....#..#...#.#.#...####.#.#...###...#..##.##
....#.##.####..#..##.#.##..#.#..#####.##.####..###...#......#####..###.##...#...##..#..####...########.##.#.#.#.##.#....###....###.###.#...#......#..##.####.####...#.#.#...##.####.##..###...##....##.#....##..###.###.#..#.###...#..##.###...#.##.#.....#.####....##...####....#.#.######.....####.#.#.##.#..##....#...###..##.#.#.....##..##.####.##.#..#.###.#.##.#..####.#...#..#.##.....##..#.#..#...###..#.....#.##...#..#..#.##..#..#.###.#.#.##..##.###.##..##.#...##.#..###..####......###.####..#.########.#.#.#.###...###....#.....####.#..#......##....#...####...#.#######.##..#....###..#...#..#.#....###....###.##...###.#....###..#....##..#.####.#####..#####.#..#####...#...##..#.##.#.##.##.##.....##.##...#..#..#.#..#.#####.###....##.###.#..#.#....##..#.#.......#..##.##.....###.#.#.#..##...###..####....##......#..####..####.#.##...#####.#..##..#..##.##..#.#.#.....#....####.#.#..#######.......#.#.##.#.#..#.##...##..#.....#####..##.....##.#..##.###...#.#......##.###...#..#.#.####..#.##..##..#.#######..###..####..#..##.###..#....#.#.#.#.#...###.#.##.###.#.##....#.#.#........#..###..##.##..###..#....#.#..####.###.#..#..#....##..#.#..#..#.##.#....###.##.#.....#.#....######..#.#.####..##...##..####..##...###.#####.#..#..##....#....#.#.#..###..#.###.#...#..##.#.###..#..####......##........####...#...######.##..#..#.####.#.#..#..###..#...#...##.#.........#.#...#...####..##..#..#.#.##..#.#...###..##......##.....#.#.#..####.##..###.#.##.#####.#.#..#..##.#.######.#.#.#.###..#.##..###.##.#.##..##.#.#.###..########.####.#.#.#.#.##.#.#.#.#....##.#.##..#..#.###..##..#...####.#####.#..#.####..##.#####..#....#.#.#.#.#..##..##..#.#...#.#..#.#.######.#..##..##.#...#..#..#..#..#..##...#.#####.#..#...#.####.#.######.#.####...##.#......##.#.#.#..........#.###..##..##.#.....#####.##...##..####..###...#....#.##.##.#.#..#.###..#..##.##...#.#.#...###.##......##..#....######.##.#..#.#.###.###.###..###.#.....###.#..##.#..#..###.#...###.#####..#...##..##....##.#.###.##.#..#.##.##.....#.##.#.#.##.#.#...##..
###...#..#.#.......#.#.##..#..#...#..#..##.#.#.####.####..##...#.#.....#..#.#####.#..###...#..#.###.#.#..##.#....#..#.###..##..##.#...###.#.###.##...#.#.##.###.###.#...##.#..#.###.###...####.#.#.##..###.##..#.....#.####.###..#####.#...###....###..####.####.#.#..###.#..#.##.##.###..#.#.###...#.##....###..#..###...#.##.#.##.##..##..#.##.....####.#..###.###.#....#..#.#..####..#.#.#########...#.#...##..#..##.#......#..#...###...###.#..#.......#.#...#..#....##...#.#....#.##..#..##..#.##..#.#..##.#...#####.....#...##.#..#..#..#.#.#.#.....#..#.###..##.....####..##..###...#.....#.#...###..##...#.###.......#...##.##..#...##..#....#....#.##########..##.###.##.#.#.#.#.#...#.#.#..####.##.##.#.##.#...#..##.....###....#........#....#########..###.#...#..##..#.#.#.#.##.#.##.#..###.##.###.#..#.....##....####...#...####.###..#.#####..########....###.#..#.###...#..####...###...####.##..##..#.#..###.......##.#..###.#...##....###..#....#....###.#.#.##..##.###.#..#.######....#.#.##.##.#.#..#..#.....#..#.##....##.......###..#.#.#..##....###..#...#####.#.#.######..#...#...####....##.#...#....#.##..#..#.####.#..###.###.#...###.#.#...##.###..#####.#.#.#....###.#......#.###..###..#....#..#.##..##.####.#..######.##..####...#...##..##.####..######..###.###..#.#..#...#.#####.....#..###..#.###..#..#.#.####.####.....##..###...#####.#.##.#...###.#.#.#####...#.##...#.#######.##.##..#.#.######....#..#.#.#.#.....#..#######..#...#######.#.#.#..#..#..#.#..###.####....####.##..#.#......##.#...##...###.#.....#.......##..#.#...#####.#######...#.###..#####.###.##....#......#.###.#.....###.....##..#.##.##..#...###.##..#..#..#####..##.##......#.#.##..###.##.#......#..#...#..##.....#.####..#.#.....###.##.#..###.###.#.####.#..##.#.#..#..#.##.#.######..####....#..####....#..#.....###..#.#.###.#..#.##.#..#.....#....#..#..#.#.#..#.#..##.#..#.#######.##.##.#.......##..#.###...###.####..##.###..##.##..###.#.#....#.##....####.###.#.........###.#..###.#...##........##.#.##.####..#.###...###...##.....###..#..#.#..##.#
#.###...##.#...#.###.#.....#..###.....######.#..#..#...#.##....##..#.#.#.#....##.#.#....#.#.##.###..#..####..###.#.###.......#.#..#.####....###....#.##..##.#.###..##....###.####.##..###..#...#.....#....####..#.#..#.######.###.##.#####..###..#...#######..#....##..##..######.###.#.##.....#...#..###.###...#.#####..#..####..#............#####.#.#.#.###....#.#.##.#.#..##...#..#.#.###..#..###..#....###.##..#.#....#...#.###..##....#...##.#....#...##.###.####.#..##..####...#.###...#...##.####.#.####....#..#.#..#.##..##....##.#.###.#.###.#.#.##...#.###....#.....######...#.#..#.#..##..##..#..###.##....##...#...#..###...###.#.#.##.#...#....#..##.#######...###.######...#.#.##.#.#...###.#.#.##..##..###.#.##.#..#.#.###..#.##..######..#.#.#...####..#..##......###...##.#...#.#..#######.###.######.###.#..#.####...##...##..###.#.##.##.######.#.#..###.#...#...#.#..#.....#...####..#...#...###.#..#.##.#.#.#...##...##.##..##..#.#.#...##...####.#####.#.......####...##.###...#.....##..#..##....###.#.###.##.##.#.#.##.#.#..#.....##......##..####....##.######.#...####...........###.##....#....##.#...#####..#.#..###.#...###.#.#....#.#.#######.#.###..#...###..#.#.#.#.##...####...#.##..##....#.#.###.#...#.##.###....###.##.###.#..#..#.#..##..###.##.##.#....#####.####.#####.....##.##..##.###...#.####.##.#..#####...#......#.##.##.###.#...#..###.########...###..####.###.#.....#.#...#.##.......##.###.#.#.##..#..##.###.##.##.##.#.##....#....###...##..##...#......#####..#...#.###.##.#.#...#.#..####..#.#..#.#...##....#.###.##.##.##.#.#.###...#.###.#.......###.##.##.##..#.#.#......#...#####..##.#######.#.#...##....#.#...#..#.#....#####.##.###..#...#.######...#.#...#..###..#....##..##..#.#####...##..#.#..#...#.###.##.......##########..###.#####.....#####.....##.#.#.#.###.#.####.#..#...###.#.####.##....###..#.....#..###.#..#..#...#..#...#.###.##.##....##..##.###..#..###.#....##.#..##.#.#..#####...#.######.#..#.##.#####.##.#..#..#..#####.##.#...##..#####.#..#.##...##..#....###.#.###.#.#.#.##..#...###.#..#..
####...##..###..###..###.#..######.#....##.#..#....##.###.#.##.##...##.....#.#.##...#...#..#.#.#.#.###..#.###..#####....#..###...##...#.#..#...##..######........#...#.#.###.#.##......#.#.#..#....#....#..#.#...##....#....#.###.##..#.#..########.#...###..###.##.....#..##....#..###.##.#.##...###.####.##.###.#.##....#.##..#.....###.#..###..####...##.##...#.#.###.##..#.#.###.##..#...#.#....##...####...##.######.##...#.#.#...#.#..##...#.#.##...#.#....#....####.#...##...##..#..#.#...##.#.####..#......##.###..#..#..#.#..##.#....####.#..####..##...##.######.#.#...##...#..#..#.##...#.#.#..#.#.###..#..#.#....#####......##.#.#####..###.#....#.###.......##.#.#...#..#...#....##.#....##....###.#......#.##..###...#..#####.##...#....##..#.#.#.###.#..####..##.###.#..#..####.#.##..####.##.##.#.##.####.#.##..#..#...##.#......##.##...#..######..#.#.#.#...##.#...#.#.#..#.##...#.####.##...###..#######...#####..###.##......#..##.##..###.####.##.##..#....##...#.####....#...##....###.#..##......#.#.#.##...##.##..##.#..###.##...####.#...##....#.###.###..#.......##.##.##..#.#...##.####.....###.##.#....##.####.#...#...#..#.#.#...##.#...#.###.#.....##.#..#.###.#..#.###..###.#.#.#..##.#.##..#..#.##...##.###.#..###...##..#..#.#..###..#....#.##...#........#..#.##.....#.##..##.##..#..#..##..#.##.##.#####.#.#.#...###.###..###.#.##..#..###.###..######..##.####..#..####.######..#####.#.###.#..#..##.#..#.#.##..#..#.#.##....##.#..#....##.#...##..######.#.###...#....#..#....##..##..#........######.##...##.....#..#.#...####..##........##.#.#..#.##.#.###....#...#######.#..##..#....#..##.#.####.....#...##.##....#.##....#...#.....##..#######....#####.##...#..#....###....##......#.#....#.#.#....#..##.#..#...#.##.###......##.##..#.######..#..#..#.###.#...#..#.##.####...##...#####..#.#..##..#..##.##.##.##.#..##..##..#.#..#.#....#.##.#.#..#....#...##.##...###..#...####.#...#..#....#....######.##.##.#.#.##..###....#.#...#..#..#..#..#...###.###.##..#.##.#....#..##...####.#####..##.##..####.....#####.#....#####..##.
#.##.###.#.###.###....###.#.###.##..#####......###.##..#.##.##..##.###.#...######...##..#.#....#.#.....#.##...#.#.#.#.#...##..##...#.##..##.#.#..#...#..#.#.#.#.....#.#####..#######.#.......##.#.##..###...#.####.#.#..##.##..#.##.#..#.#.###.##.##.#..#.#.####.#.#...#..###.#..######.#....##.#..####.#....#....##..###.##..#.#.#..#.#...####.....##...###...#.#..#.#..##.#.#....#.#.#..#.##.##..#....###...#..#####..#..#.....##.####.##...#.#.#....####.##......####.#...#####.#..######.#..#....#####..###...#.#.#.....#####.######.#.###..####...###.....###.#.#.#..#....##..###.#....#.##.#....##...#.#..##.#.####.##.#.##.#..#.#.#..#...#.##...#.##.#..##...###..##.###.###..#..#.###.##.######...##...###.####.###.######..####.#...#....#.......###..#####..#..##.#..#...#.#.##.##...##..##.###.#....#..#...#.##.#.###.#..##..###........##.#..###.###...#......#.#####.#.#....#..#....##...##.###.####.###.#......#........#.##.##..##.##...###....#.##.##.######.#....#.#..#..########.###.#.#.###.#.#.#.#..#..#.#..##..#.....#.######.##.#..#...#......##.#####.##.#..#.##.##.#...#.#..##..####.#...##.###......#####....###.###.###...#..##..#......###........##.#..##....#####.##.###.#.#....##.#############.####.##...#.##.#####..#######.#.#.##....###.#.#.##..#..##..#.##..#.##.#..#.##.#..#.####..#####....##.##.#######...##.#....###.#...###.#.####.###.#..##..##.####..#.####...#....##.#..##.#.....#####...#.#####..##...#......##....###.....#.##....#..#.##.#.#..###...####.#...#...#######..##.#.#..##.##.#####.#..####..#..####.##.##..##.###.....###.#...#.#....#..#........#.#####.#...#.##.#....#..#.#.##..#.....#..##..#...#..###.###...##.###.###..##..###.##.#...#..#...#..#..##.#.#......######.##.#..#.#.##...###.##....##....##...#.#...###.####.#.##.#..##...#...####.#.#.#####.#.##.#...###.#..#.######.#..#..##.###.##.#.#.##.##...###....####...###.#.#..#.##.....##..##...#.#...#.##...#..#...##...#...#.#....#..##.###.#.#.....##.#.#.#.#..#.......#.##.#..#...#..####.###.#..#...#.####.#....#######.......##.####.###....#####..#.
..##..###..#..#..##....#.#.###.##..#.##...###.#####.#..#.###...#####.....#...###..#..#.....##.###...##.####...######...##......#..#.#...#.##.##...###.#...#####.##.#......##..##....#..#..#.#####.#....#....###..###.#.#.#.#....###.##..#.#...#.##..#...##.#..##.#.#..#......##.##..#....#......#.##.##.#..#..###..##...#..#.##.#...#......##..##..#..#..#..###.#.###.#..###..###..#..####..#####.#.......##...#....#.......##...#.######..##.#.####..#.#..#.####..#.##...#.#...##..#.#.......#..#.#...#..##....###.##..##.#.#..#.#.#.#.#.##.##..#.#.#####..#....#.#.##....##.##.#.###..#.#.#..#.......#.#..#...#..#.##..###..##.##....##...##..#.....#.....#.#..##....#.##..##....#.#.####.#.#.##.#.#.##......#.#.#.##.#..######.##.#..#.####.#....#..#.###..#...#....#.#..#####..#.#.#.###.#.....#.###.#....##..#.#.##.####.#.....#..####.#...##.##......#.#.....####.......#######..#.......###.#.##.##...#..#.#..#...#..#.....###.#.###..##.###...#####.#.##..##.####..#..#...#....##.##.######...#...#.###.###...###.###...#.....#..####..##...#########..#.##..#..####....#..#....##..#.###.##..##..#...##..#.....#.####...#.##.###..##.#...##.###..#...#.##.##..###..#....##..######.#..#####.#.#.#.#..#..##..#......#.#..##.#.#####.#.##..#.##..#...#...####.###.##.#..#..###.##.####.#.....##....####..#.##..#####..##.#.##..#...#.###.#..#..#.#.##.##.#..#.......#...##.###..#####.#######.#.##.#.#.##..#.#.#.#.#......###.#...#.##....###.#.##.#.#.###.###.##..#.#..####.##..##..##.....####..##.##.#.#.######...##.#.#.....###...#######.#..#.##.#...#####..#.....##.#..#...####...#.###..#####..###.#...##.#.#.#.#####....#.#...#.#....###..#......###.##..#.##..###.#..##.###.#.###.....#.######.##..###.##...#..#..#####.####.##.#.####.....#..#.###.##..#..###..##.#.#####.####..#.##.######..##....#.#.#.....#.#..####.....##.#.##.#....######.##.#.###..###.#..########.#.###....#.##...##.#.#.##..#..#.##...#..#..###.#..#.##..#.#....#.#.#.#....#..##..##...#..##.###..##.#...#.#.##......######...##..#.####....#.#.#..#..#.#...##..#.#.##..#.....#.#...##.
##..#....#...#..#.##.#......##...#...##.#.#..##..#...##....##....###.####.#.###.##.#.#.##.###..#.#.#..###...#####...#..####..##..###.###.#.#..###...#..#........#...#.###.##.#.#.#.######.#.##......#...####..##..##.##.#..##.....####.#.#..####.......##..##...##..##.#.........#..#.#.....#..#..#.###.##.###............#######...##.#....###.###.#...#..#....#######......###...#.#..#..###...###.##..###.#.##.###.####.#.#.#.#.#######.......#...#.....##.###...##..#.#####....#...####.....###..#.###..####.####...##..#..###.##.##.###...#..#..#.#.##...#...####....#.###.#..#.#.####.#..##.#.....##.####.#.#.#.###########.##..#.###..#..#..##...#.###.###..##.#..##.#...#.#...#.#.##.###..##.####.#.#.###.#####.#..#.#.###.#.##.#....##.#.###..#....#...#.##.#...#.###.###....#..#...#.##.###..###..##..########...#..####...##.#.#.####...#.#.#....#.#...#.####..###.##..###..######.#.####.#.#####....#.#...#####.#..###.#...#...##.....#...##...#...###.####.#...####.#.#..#..#..#.#..#.......#.#..#...###..##.##.#...#...###.#.#..##.##..##..##..#..##.##.#..##...##..#...##....##..####.##....#...###...###.#.#..#...#..#.#.#.##..#.#.##..#.###..#..#...#..####.#....#.....#..##.#....#....##.....#.#..##.#.#.#..#.#...#.#..##.##.#..###...#.#..#.##.#.#..#.#.....##..##..####.#..##..#...###.####..####.#.#.#...#...#....#.##.##.###....##.#######.#.####..#.#.###..#..##..###..#...##.##..######....#####.#...#...#######.###.#.#..##.#.#.##...##..#.###.#.##..#.####.##..#..####..#.##.####.###..##...##....#..#.####.#.##..##.#..###.####.#.###.##...#.#...#.##..####.#.##...##..#.###..##...####..###.#....##...#...###..#...#.#.##.#.#..#.###.####....##...#..####.#######..#.####.##.####.##...##.#..###.#...####...###...##.#..######.#....#..####.#..###.#.#.##.#.###..#.#.###.....###.#......##.#.##..#...##.#.##...#..###.#.##.........########.#...#.#.#####...#####......#..#.#..##..#.##.....############.#......#..####.###..##.#..#....###.#.#.#..##.#.##..#####.#####.####..#.##.##..#..#.#.#..#.##....#.#..#.#.##....#..###.#...#.####.###...#.#.
.#.#.....#.#....###.###.###..#.#.#...##.#..##.#..##..##..#.##.####....#.###.###...#....#..###...##.#...##.#..#..#.##..#...###.#.#....#.#...###..#.#..#.#.#..#.#.#...##.#..#..###.#.###.....#.#.###..####.###...##...#.#.###..#.####.###.#.#.####..##.#.#####.##.###..#..#######....##.#....#.###..####....########.#..##...##.#.##.....#....#..#..##....###.#.#...##.#.##..##.#..##..##.#...#.#.##.########..#.####.####.#.#.##..####.#.#..#.###..###.#...#..##..#.##..#..#...#####.##..##.#...###....##.##..#####.##.##.#.###.###.#..###.#...######.####..###..###...##.####.#..#.#####.#.##.#...#.#.....##..#....#..#.###.#..#.#..#.#.#.##.####.#.#.#.#....#.####...#..###.#.#.#.##..#####.#..#.###....#..###...#..##..........###.##..##.###..#.##.#...#.#####.#.##.#...#.#.##..#####..#...##..###..#####.###.#....#.#######.##.#.#####...#.###...###..##.##.....#.####..#...#.#...####...#..#..#...##.#.##...###..#.#.#..#.##.#..#...####...#######..#.#...#....#####.##.#..#.#####..##.###.#.###....#..#..##.###..#.......##..##.#.####..##.###.#.#####..##..#..###..####.###....##.##.#.#....##......#...##.#####..#.####.#.##...##..###...##..###.#.#.#.#.#...#.#...##.#.#..#..#...###...##...##..#.##..##.##.#..##.#.#.#..##.###.#.#.#....#.#..##..#.##...#####.#..##...#####.##..##.###.#.#...#...###.#...###..##...###.######.###...##...###..#..######...#####.#....####.##...##.##.#...#....#...#....#####.##..##..#..###......##..##....###..#######..#..##..#.###.####..###..#...#.#.##.####.#......##.#...####..###.......#.#..#..##.#..##.#..#..##...##...#.#.#.###......#..#...##...##.###..###.#..######..####.#.##...#...#####..##...#.##.##.#.#....######..#..##..###...##.#.##.#.#....#.#....#..###.#.##.###..#..#.......###..#.#..###.#.#.#..#.#.###.#####..#.##...####.##.##.#.##...##....#####...#.#.#..#.##.##...#..##.....#.###..##...#..#.....##.####.###...#...###.#......###..##...#..#.#.####.###.####....#.......#.###......#..#..####.#.....##..##..##...#.###.#.#.####.####..##.#####.#.#.#...#.####.#..##....##.#.#.##..####.#..........###.#.
####.#.##.#...##.#.#.##..#...#.####..#.#######..###.##...#.#..####.#..#...#..#....####...#.####.#..#.#..#####....##.#......##.#######.###.#.###.#####......#..#####.#.##...##..#.###.#...#.###.##..#.####.#...#..###....##...#.#..##...#.#.####.....#.#...####.....#..#...###...###.#..#########.####...##.#...#.....#.##..###..######..###.##..#......##..#....##..#.##....#....###.#######.....#..#####.#.####.##..###..#.##.##.#......#..#......##..#..###..#.##....#..##.####.#..##....#.#...#.###..##.#....#.##.##......#.#..##.##.....#.###.#...##..###.#..#..###...##.#.#######.....#.##....#.....#.#....###.#....#..##.#.####.#.##...#..#.#.....###.####..#..#.####.##..#.##.####.##..##.#..#.#.###..###...#.#.#.####....###..####.......#..##.#.####..##.##.#.###........####.###.###.#...#...#......##.##.#.#......#..##...#...#..#.##.####.##..#.#..#######.##......#.##.....###..##..#.####....##.#.###.......##.#.###...########....##..#.##.#.###..###.#.#..##..#.###.###.#..###........#...####.##..##.##.#.#..###..#..##.#.##.###..#.####.....#..#...###...####..#.....#####.....##.#..##.##...####.#..##..#..####...#.###.#..#.#..#.###.###..#...####.....##.......#####.#..##.#.#.#..#####.#....#......#########...##..#.##.##..##..#.#.##.####.###.#....#####..####.#.#.....##..#...####..#..#.###.##.###..#.#..#.##..#.#....##..####..###########.....#......#..######.#...#...#.#...#..#..##.#.##.#.###..#...#..##.#......#########...##.######.###.#.#.#.#######.#######.....###.#.#.##.#.##..##.#..###.#..#.###..#.####.###.##....#....###.#..........#.#...#.#....#..####.###.#.#######...###.########........#.###.#.###.#.#.#..##.#####.#.####.##..#..#..####...##.#..###.#####.#.#..#...#.#.....#.....#..#..##.##.....#.#...#.#..#.#...#..#.###.##.###...########.#...##..#.##.##.#.#.####.###.#.###..#..#.##.##.####.#.###.#####.#.#....#.##....#..#####.#.####.#.###.#.....##..#...##...##...#.#.#.#.##.#.....###.###..#.#.##...#..#...####..##.###....#####.####...#.#.#.#....###..##..#.#.##..##..##.#..#.#.##....##...##....#.##..######.##..#..
#......###.......#..##.#..##..###.#..#..#.#..#.###..#..#..##.#.##.#......#..#..#..#...#..#.####...##.##.###..#.##.#...#..##...##...##..##..###.#...##....#..####.##.##....####...##.##.##.#.##.#.#.##.#..##.#.#.#.#####..#.#.##....#...#.##.#.#..##.#...####.##.##.###.#...#...##.##..#......###.##.#.##.......#.#..#..#.#..#..#..#.#.##..##.##.#.#..######.###.#...#......##.#..#####.#.##..#.###..##...#.##.#.#######.#.#.##..###....#...#......##.##.#.##..##.#..#........###....####.##.#.###.#.#....##.#.###.#.##.#.##.##.#.###.#.####.####.#.#.###..#...##...#..#.#..#..###.#.##....##.#.###..#.####..####.#.##.###.####.#...#..##...##..##...#.#..#..###.####.....#..#..##.##.####...##.#..##......#........#.####...#.#####......##.##...#.#..#.#..###.##.....##.##.#.##.##..#.....#.#.####....#.#.#.....#.####...#######..#..##.#.#####..####.##.#.#.#.###....#..###......#.####.#.####..#...###.....#.###..#.##.#.###.....#..#..#..#####.#.#..#.#.##......####.####.###....##......#..#..#.##.#.###.####......###...#......####.##.##..#.##..####..#.###.#######..#.....######..###..#..###.###.#..#..####....#..#######..#....##..##..#...##..#....#.##....#....#.#.##.####.#..#..#....##...#..##.#...#.####.....#...##..#...#.#....#.#...#.#.######.......#..#..#.##..#.#..#.##.#.......#..##....#####..........#.#####.#....#.###.#...#.##.##.##.###...#.##.#.#..##.##..#.#...###..####.#..#.#.###.###....#.##....#.#.##.###########.##..#.#..###.#....#####.#...#...######.#...####.###..##.#.#.#...##.#.##.#....####.#######.#.#.#....#..###...##..###....#......###.####.###...##...#..###.....#......#.#.#.##.###.##.##...##...#.#.##..###.#..#..##..#...#.##..#.##.##.#........#.##...#...##.#..#####.##.##..##.#..###..#.##..#...#.###.####..#.###..####.#...#..##...#.##.#.##.#.##..###.......#..#...#####.##..##...#.##....##..#......####..##...#..##.##...##.###..###...#..#####.##.#.##..###..#.#.##.#.#.#......#.##.#.....###....#..#.######..##.###...#...###.#..###.#..##...#..###..#.#.#..###...#..###.#.##..###....##..#####...#..#.###..##...#####
.#.#...#..#.###.####.#.#....#.#.#.#..##.###.#####..#...###.#..#.#.##.###.##..###.##.###..##.#....##.##....##.##...#.##..##.##.###...#.#..##.##...#..#....##.#.#.#.####.#.######.#.#.#...####.#....#....#.###.#.###..#.#..##.#....#....#..#.#.#..###..#.#..#...###....###....#.#.##..##...###..#.#.###..#...#.#..###.#.#...#.#..#.##.##.###.###.##.#.######..#.#.#.##..##..##.....###.#.#.#..######..#####.#.#.#.#.#####.#.#.#.........##........###..##...#.....##.##.##.##.#####.....##.#..#.#....####.....#....#.#..#...####..##.##.#.##.###.##.##.#...#.....#####.#.#..##....#.##..#.##.#.....#.##.#####.##.#.######....#.......#.##.....#..##.#.##..##.#.#####..###...###..#.#.###.#.##.#.###.#.####.###.##.##.##.#...########.#.#.##...##..##.#.#.#..###.#...#.#...##.#..#####..#...#.#####...#.##.#.#.###.#######.....#######..#...##...##.##.#..##...##.......#.###.#..#..#.#.#.#.#.####..##..##....#.##..#####..#.##...#....#.#.###.#########...#..#..#.###.#.....##.......##..###...#..###..#..##.#....#.##...###...#...####..#...#.#####...##.#..###..#####.##..##.###.#...#.##..##...#####.##.#.#.##.#.#.###..##..#####.###...#..##.##.###.###...#.##.#..##.##......##...#.##.######.##.#####..#.######..#.###.##..#####.#.#####.#..#.#.##..#..#.###.....#.####..##.#..#..##..#.##..###.##...##...#.###.##..#...#..#....#.......#.##.#.....###..###.#..#..##.#######.....######.##..#.#...#.#.#.#..##....#..#.##.#...##.#.###.##...###..#.#.#####.#..##..#....#.##.#.....#...#####.....#.#.####..#.##..##..######...###.#.###....##..#..#.######..#.#.#...##.##..######.####....#.###..#..#..#####.#######.####..####.#.#.#..##..###.#.##.#.#####...#.###...##.#...#.....##..##..##....#.##.....#.##.##.....#..........##.#...##....#.#.#..#####...#..#.###..#.....#.##.#.#....#.###..##.....##.....###..####.##...#..###.#.##..#.#..#....#..###.###.........#...###.###..#.##..#..##...#####..########.....####..#.#.#....#.#..####.#..##..##....##.#..####.##.##.#...##.#..#.##..##.#####.####.##..#.#..##.###...#.#..######.###.#.#.##.#.##.#.##....###.#....###..
...#..#######...#.#.#.....#..#..#.##...####.##..###..####..###.###.#.#.#..####..####..#..#..#.#..#...####.##..#..##...####..###..######.#.#.#.##...###.#....##..##...##....##...##.#.#...#.#.#.#......#..###..######.....##.##.#.#..##......##..##.#.##.###.#.##...#######...####.######..#..######.#.##...##.#.####..#....##.#.##.#...#.###..#####.###.#...###...###..###.####.......#.#..#....##...###..#.......##.##.#.###..##.####.##..######.#.......#....####.###..##.##.#.#.#.###.###..#.###...#....#.#.####.#..##.####.#.#.#.##..##...#.###..#..#####.####.#.##..##.#..###.#..#####.#...##...#......#.#...####..#..##...####.#.####.#...##.#..##.###.##.........###.##.#.###...#.#...#.##.#...###.####.##.###.#...#.#...#.#.##...##.####..#.##.###.....#..####....#....#.##.#.####....####.....#..#####.#....###..#..###..#.#..#.##....####.##.#..###.##.##.#..#.#...##.#.###....#####.###.####.##.###.#.#..###.##.####..##........##.#####..###.###...##..###..####...####.##.##....##....###...#.....#..#.##.###.#.##.#.##.#........#..##..#.##....#....##.#####..###..###...##.#.####.#..#..#.#..#..##.#...##.#.....######.#..#...#..##.....##..#..#########.#..#.##.##..#...###.##.#....####.#.#.#...#.#.##.###....#..#..###...#.##.##.....###...#.#.#.##.#.####..#.#.##......###..#.........#....#...#..##.##....###.....#....##.#..##.....#..##.#..##.......#.##...#########...##..##....##.#..#.#.....#..##.#..####..##.#.###.......#..###.#....#.####.#..#.........##...#....##..#####.#.#.......#.#.#....#.##.##.###.#.#...#....#.####.#....###..#....#.#.##..###.###.##.#...#.##...##.##.##.####.#...###..#.###....########.#..######.#....#..##..##.###.###..#..####.#...##.###..#..#.####.#.#.#.....######..####..#.......##..#####.##..#.#.#.##...#.####..####.#.##..#.#.#.###...##...##..#.##.##..#....#######.###..#.###.#..###.##.#.#..###....####.##..#..#.#.#...##...##..#.#..##..##..###.#.##.##.##.##....#.#.##.#.#.#..#.#.##..#...#.##..#.##.##..#.###..#...#.#.###..##.####.##.###.#.....##.#.....#........##.....##.#.###..###.##..##.###.###.###
.#.###.....##.###.###....##......##...#.#.#..###.#.###.#....#.#.#..........#..####..##.#.#.....#.##..#.#.....##.##.###..##.#..##.##...#.###.#...#..#.###..##.##.#..#.##.##..##.#.#.#......#...#.##.#.##......##.#...##..#...###..#..#.#####.#..#..#..#..#.##.#####..#.#....##....#.###...##..##...###.#..###.#..###.####.#.#.#.##.#..#..##.#..#.#.##.#.###....#.###.#..##.###############.#.#.###.#####.##.###..##.#.###....#.###.....#..##.#####.##..#....##...#.#.###...##..##....###..#...#...###.#..###.##.##.#....####.#......#.##....#####....##...##.###.##.##..###.####...#.#####..#.#....#.##..#..##..#..#...#..#..##.###.##.##..#..........##..##.###.#...########........#.##.######.#...####.#.####...#....##..##..#.##.#.#.##.#....#..###.......##......##.#.##...###.#.####.#.###..#..#...####..####.###...#...#..##....##.##.##.####.##.###..#..###.#....######....#.###..####.###..###.#.##.....###.....###.##..##..#.####..#...#..#####.##....#.....######....##.###...#####....###.###.##########.#...#..##.##.#.###..##.###.#.#.#.#.##..###...#.##...######..##.#..#.#.#.#..###.....#.#.#....#.#.##.....#.###.#.#.###.##.#..##......###.#.........###.....#######.##.....#.##...##.#.....#####..#....##.#######..##.#....##..#.#..##.#.#.....#.#.#.#....#..####.#..#.#.#..##.#.##....##...#...##..####.#..####.#...#....#.##.##..##...#.#..#.##.###.#.#.....##.....####.###.#..#..#.#....##..####..#.....###..###..####.##...#.#...##.####.##..#.####.########.#.##....#..###.#...#.#.#...#....#....#.#..##...#.#.#.....#...####.###..#...#####..#####..###.##.#....###.##...##.##.#.###.##.##..#####.##...#.#.#.#..##.##..####.#..#.#...####..#.#..#####.#.###.#....#.#.#.##.#...##.#..##.#.##.##..#..###.####.....#.###.####.##..#..##.##...##.#..##..#...###...###......#.###..####.#.#.####..#..###.##.##.....#..#.##.#...#.###.#######....##.##...#####.######.###..#..#..##.#.#..###.####.#.####..#..#########.######..##..#.#.##.#...#.#..##.#..###.......#....#.##.....#.##..#.......#.###.#..#.....###.##.########.##.#...#...#..#.##....####.#...##
#..#.#..###....####..##..#..##..###....#.#.....##...##..#..###..####.##......#..#....#.....###...###.#.........####..####.#####...#.#..####.#..#............##..#....#..#..##...##.#.......###.#...###.####.#..#####....#.#.#....###.#....##.###...###..#.#....#..####.##.#.##...##.####.##.###.####..#........##..##..#.#.#.#.#..##.#.#..###..#..####...#...#.##.##..#.#..#..###.#.##...#..##..######....#.#.#####....#..##...####..#...#..##..##......##..##..##....##.....#...##.......##...#......#....##.#.#.###...##.....#.#..####.#...#..#.###....##..#########.#.#.##.##.#.#..#.##...###......##.#.#.#.....#.###.#...##...#.#...#.###.#....#.#.#.######.####.###.##..###.###.#..#.#..#####.##.#.####....##....#....#...#.##...#..#..##.#.###....#.....#.#.#...#.#.##.##.#...##..##.###.##...#####.#..####.##...#..#.#.#.#.#.###..#.#.#..##.....###..###.##.#.#.###...#.##.##....#..#....######.#.#.##.####...#####..##.##..#############.##.##.##.#.#.#....#.###....#.##.##...#..#.....##.##.##..#.#..#.#......######.#.#...#..####.##.#...#..#.#.#..##.######..#.#..##.####.###.###.#...#.##...###.#.##......######.#####...###.#..#.##.##.#..####.#.#..#.#...#..###.#.##.##....##...##..#..####.##..#..###.#.#.##.###.#####.....#....##.##.##...##...#.##.#############..####.####...#####.#.#.#.##.###.....######....#..#...##..#..##.....##.#.#.#.#..##..#....##.###..#.##.....#.##.##.........##.#.#..##..##.##.#...#...#....####.#.###.#.#.##.#..#####.########.....##.#.###.##.#..#........#.....#...#.##.#..#......##...#.##.#....##.#....#..##.#...##...#..#.....##.#..##.#..##..#.#..###.##..#####.#######..##########.###...##.#.#..##......#.#...#..##.####.#..###..###...#..#...##.#####..#.##.#.###..######.#.##...##.###.####.#..#....##.#.#.#.#..###..###...#.##......###..####.###.#.#.#.#...#.######.######........##.#.########.#.#.#..######.#..##...##.#......#.##.#..#.#.###..###..#..#...####..#...#..##.##......#..#.#.#...#..##.####.##..#.#...##.##....#####..###.#....#####...####...##.#.......#..##.####..##.....###..####.#..#.....#######
..#..##....##...##..##.####..###.#####...###..#..##.#..#.#.#..#.#.#...#.####....#...#.###.#.......#######..#..........###.#.###.##..###.##.##.##.#...####.##..###..####.#.#..#....###.#....####.#..###..##....##.##...#....##.#.....##.#..##.....##..##.#...#.#.##....#..#.#.##.##.##...#.##..##.####..#...#..###.....#..#..#..####...##....###.##.###.########.#.#.#....####.#...#.#..##..#.#.##...#..#...#.#######..#..#.#.##....##.#......#.#.##.##.##.#....##.#####..##..#.#..##..#####.###..#..#..#.##..#.#.##.####.###.#####.##.#.#.##.#.#.#.##.#..#..##.#....#######.#.#.##.#..##.####..#.####..#..####.#####.#####.##.##..#...#...###.###..###.###..#..#..#..#..#.###..#...##..######.####...#...#.#..#...###...#....#####......###..#####.####..##.#..###..##..#.#.##..#.#..###..####.#.#.#..##.#........#.#...#.#.#.#.#.##..#.##.#..#.....#..###.######.####.#.#.####....#.#.#.#..##.######..##...##.########..#...##.........##...#...#..####...#..#..########.....#....##.#..##.#...##...###.###.##.###.###.#.####.#...##.####..#....#.#..###.#.#.#.#......####....##.####.#.###..#..#######..#.....####.##......#.....##.#.##.....#.######.###..###.......#..#.#...###.##..#.####.####.####.##..###........####..##..##..##...#..###...#.#.##.#..#.####..###.#.#.#.#.##.....##.##.....#..#.#.#.......##.###..####..##......#.####.#..##....#..#....####.#.##.....#.....####.##..#.###.####.##...#.##.#...##....#..######.....###..##.#.####..##...###...#.##.#....#.###.#####.....###..##.#.#.###...##.#.#####.....#.##.#..#..###..#.#..#...###.#.#........#.##.....###..##.#.#...#.##...#..##....#..#...#...#..##..#.####..###....###.#.##...#...###.#.#.#.#.##.#...##..##..####...###.#.#...##..#.....##...#.##..####...##.#...##.####..#...###..##..#...#..#..##.#####..####.######...#.####...##..#..#....#...#.#.###..######.##....#...##....#..#.#..###.#...##..#.#..#####.#.#####...##..#.#####.######...###.####.##..#.###...##....#.###.###..##.....##.####....#.#..##.#..#.....#....#####.####..#.#.###.##.#..###.#.####.#.#.#.#..###.###.##....#..####.#
..#...##.##....#..#..##.#...###.#..##..##..#######..#.#####...#.......###..##...##...#.##.##.....##.#.#...###...#.##.#..##.#....#..########.#....####.######....###.#.#.#..#####......#.##..####.###.###.##.#..##.#....###.#...#.####...#.###..##..###..##.#...####...###....#..#####...###.#..##.##..##..####..######.#.###.#.#...##...##..##..#.##..#.##...#.##..#..#..#.#....#..##....#.####.#.##.#..#......#......#...##.##.##..#..#.#..#####..###.##..###..##.#.#.#.#.####...#.#.#.####..#.#####....#...#..#......#..####.#......#........#...###.#.###..#######..#....#####.#..#....#.##.#.#.#..#..#.##.....#.#####..#.#.####.#.#..##.#....###.###.###....#.#.#####.###.##...###.##...#..#.####.#.#.#.#..#.#.#...####..##.....###...#..##...#...##.#.#.##.##.##..##.##.....#.#.#.#.##.#..##.#..#.##.##...#.###.#.#..#.#.###..##..#.####.#....#.###...#.####.#..#...#...#.#..###...###..#.#....#.######.####.###....#.#..###.##.##.##..#..#.#...###....#.##.#.###.#.##..#.#####.##.#.########....#..#####..#..##.###..#...#....##.#..#..##..#..#....##..##.##..###......##.###......#.#..##......####...#...#.#####..#...###.#..###.###..#...#.#..##.#.#.#.#...####.#.#..###..###.#.#..###.##..#.####.#.##.##...##..#...##..##...####.##...#####...#.#..#..#.#.......#######...####.###..#...#.##....#.#..#.#.#.......#..##.#.###...###....#####..##...#..#..#....#.#..###.##...#.#.#.###.######..##.##..##...##.#...#....##.#.#.....#.#..#######.##...##.###.##..##.#....###.....#.##.#.##.##.##.##.#.###.#######..#....#.#.#.#...#.#.##..#.#...#.###..##....#..#.###..#..###.##.#.###.......#.....#.#...#...##.###.#..#..#.#####..#.##.#.###...##.##...####.##..##..##.#####..#.###.#.#...######...#....##.##.###..##.##.#..###.##..##..#..##..####..#......####..#..#.#...#####..#......#####.###..##.#...#.####.#.###.###..###....####.#.##.##.####..###....#.#.##.##.#..###.#.####.##.###..#.#..##.###.#######..###...#.#.#.##.###..###.###......#.#.##..##.#.###.....#..#.###..#.#.......##.##...#.###..#.####...#.##.#..#.#..#...##.#.#.#.....##.#.###.##..#...###.#
##.####.....###.....#.##.#....######..##..####.#.#.###...##.##.###..##.##.####.#...#...###.#..#..#.###...#.#...#..#.###.#.###.#..#..#.......##......##.#.#.....#.#..##.#.########..###.###.#.#....########.#.....##..#...#.####...##.#####.#..##...#.###.#.######.##..##.##..#...#.#...#.#..#.#.##....#.###.##########..#..###..###....##.###..##...##.##..#.#.##.#..#.#.....###.#.####.#...#.#..##...##.#...#....#.#.........##.#...###.##....#....###.###...###..#.#.##..##.#.#.#..########.#....###..#.###..##.........####..#.....#..#.#.##.#..##.#....##....####.#..###.###.#...#.#.#.########.##.#.#########..##.##...#.#.##..#.#.###..#.#...#..#####....#.#####.#.#.##.####.###.##..########.#.#.#..##......#.#.###.#..##.##...#...####..##..#..#..#.###.......##.#.#.###.#.#.##..#.....##..#.#####......#..##.##.#.##.#..#.#.#..#....#.###.###...#..#....#.#.###.#.####.####.##.#......##..#####..#..##########.#.#.#.####.##.####.##..#.####.....#.#.#.#..#.#.#.##....###..#.###..#.####....###.##...###.##..#.#...#.####..###..##.#..#.#.#..#..##.#.##...##.......#...#####..########.#.####......#....#########...#.##..#.###...#.....##.....####..#..#......#.####.##.#.####...##....#..#..#.#..#........#.#....####.##.#..#..#.#..#....#.###...##.####.#.###.##.##.........####..#.....##.#.###.#.#.##....#.#.##...##.##...#...#.#.#..#######..#.#...###########..#.##..#.###.#.#.#.#.#....#.#...#.#...#..##...#.###..##.###...#.#......#.#.....##.#.#.#.#..#..####..#.####.#...###.#....##.#.#.####.#####..##........#.#########.#...####.##.#..#.##..##...#.#....###.#######..#.###.###..##..#.#..#.##....#.#.##..#.####...#.#.###........#.#.#.###..#..#.#.####...#.#..#..#.#.#..#..#.####.#....##...####.###...#.#....#.######.#####.#....##..#.#....#..###...#.#.###..##.#..########....##.#.##.#####.#.##..##.#....#.#..#.##.#..#...####.##..#...#..#..####.#...##..##..#####.....#..#..##.#.#....#.#..#.##.#.####....#...#.#.#.#..####..###........#.###...##.#..#....#.####.#####.....#.####...###.#.#.#..#.##.#.#..#.##.#..#.##.##...###...###......######
#..#.##...#....##.#...#..##.##.......#.###..#.#.#..#.#..##.#.#####.###....#..#.##.##.#.#.#..####..#..###..#......###.#.##..#.###.###..##...##..##..##.###...#...#..##..####..###.....###...#.#....###..#.##.#.#....##..#...#...#.#####.####.#..#.#....##.#.###.##.######...#.....#.########.##...#.#....##.####.#..##.#.#...#.....#####.##...##....#.#.##.##..##..#..#.#..####.....##....##..#.#....#.#.....###.###.#..#..#.#...####....##.#...########.##..##...###.###......##....#.#..#...###...#...#.#.#......#..##...#..####.##....#.##..#.####......#.#....#.###.#####.#....###.##..##.#.#.#.##..###.###.#.##....##...###..#.##.#.#.#.###....########...####.#.##....####.##.###..#.###..##..#....#..#..#.#....####.##........#..##...........##.#.#....##..#...#..#.##.#...#..#.##.#.##.#######.#.#.#.#....###.....###.##.....####.#.#.##.##....####.#......#.#..###.##.#..##.##...#.##.##..###.###....####..#...##..#####...##....###.#.#..########..#..#####..##.####..###..#.#.#...#...#.#.##.#..####..#.##.####..#.##.##.###.###..####...#..#....###..#.##.###.####.#.....#.##..#.#.#...###.##.#.##..#........###.#.....##...####...#..#...##..#..#...##.#..###..##.##..##.#.##.####..##.#.....###.....#..##...##..###..#.#.#.#.#....###.#.##.#.....##..##..####.##..##.#..#.#...#.#.#....###..#.#.##.#.##.##.#......#..##.######..###...###........#####.#####...#...###.#######.#...###.....##.#..#..#.####.#.#..##.#.....###.#.#..###..#.#...##...#.##..#.#..#.####.....###.....#.#.####....###..#.....###......#####....#.#.##.#.#.#.#..###..##.#.##.#.......#.#.####.#####.#.###.###.#.##....#..#..#.....##.##...####..#.#.#.#....#.#...#..#.####.#.##......#.....###.....##.######..###.#.#.#.#.#...#.######..###.....###.###...#.##...#...##..#.##...####...##....#..#..##.....#..........#.######.#.#...#....######..#.#..#...#..#..####...##.....##.#..#.#..#...###..#..##.....#.#...##...#.#.##.#..#...#.##.#.#..###..##..#.#...##..##..####..##.#..#..##....##.###..#....####...##..#....#.#.###...#...#..#..#..#..#####.#..#..##.###..#..#####....#..####
.##.#..#.###..##.##...##.#.#.#.#...#.#.#.#......##..##.#...##.#...#.#...##.#......####..##..#.####.#.###......##.#...#...#.##.#..##..###.#.#..#.###..##.....##.#####..##.#...#.#.#...##..#..#.##...#.#.....#..#.###.#.##.###.#.###...##.#.###.##.##...#...#.#..#.#.#.#.#########...####.#..#.###.#.#....###.###.####...##..#..##..#....#####..##..####...#...##.#.##.##.#..#...##.#...##.###.#..#.###...###.####.#.##.#.#.##.####.....###.##.####.#.#.#...##.#####.#.##.##.#..###.#.###.#.#########...####..##..#.##..#.###.###..##...##.###.#..##.#....#..##.#..##.##....#....#..##..#.###..#.....#...#.#...#...##..###.#...###...#..###..##..#..#..##.#..##.##.#..##..##.#.###.###.#.##..##.......###.###...##.#...##.#.##.##...##.##.##.#.#.##.####.#..#.###...#.#.####.##.##.....##.####..###.##.######..#####...##...###.#.###..###...#.##...#.#.#....###.#.####..#..#.##..###.....#.....#.#.##..#.#..##..#...###..#.##..#....#.##....####...#.#.#....###.#.##..###...#.#..##.#.###....##.##..###.##.#..##....##.##.##....#....###....#..#..#.####.#.#.##..#..#...#.####.##.#....##.###....####.##.#..#.##...###.#...###...##...###.##.####..#.#..##.###.###.#..###..######.#####....#...#.#####.######.#.#.#.#.##..#...#.#..#..#.#..#..####.##..#..#.#....#...#........#...####.###..##########.#####.#.#.####...#####..######....#.###.######....###....#.....#..#......####.#.#.###.#....#..#.###..........##.#.##.#..###..#.##..#.######.##.#.#.#.###.##..#.#.#...#.##.###..#.#.##.##.#.##.#.#.###.#####.#.....##...##..###......#..###..##..#..#.###..#.#.#####...#.#.#.##.#.######.##.#####.###....##.##.#..##..#######......#...#..#....#..###.##..##.#...##.#.....#.###.##.#.#.....#.##.......##.#...#..##.#...#.#..######.#.#..#.##...#..#.###....###....##..#....#.#..#.###.##..##.###...#.#.....#.##..#..#.##.#...#..##.#..##.#####....##.#......#..##.#.#...#.#..#.#.#.##...##.##.......###.#.##..#.##...#....#.###.##..#.##...##..##.#####.###.#...#.##.###.###....#.##########.#####.##.#..#.#####.#.##.#####...##..#.####.#...#..#.#####.#......#.#.#..#....
..#.#.##.###.###..#....##.#..##....##.#.#...##..##..#.##.#...#........#.##.#...##.#....#.#......########.#...###.#..#.#.###..#.#..#.###...#.##.#..##.##..#..##..#.#.#.....#..###.##...#.#....#.#..###....#.#...##..#..#.....###.####.######..#..##........#........#.#..###..#....#####.#####..#...#.#...#.#.###....#.##..###.#.....#.#...##..#####.#.#..#.####..######..#..#.###.#....####.##.####.....##..####.####...####......##.####..#.#..#.###..###.#.....####.#..#.#.##..##.##....####..####.#..#...#.#.######..####...#..#..##.#.#.#..#.....###...#.###.##.##...##...#.#..##.....#.#.....##..#.#.##.####..##..###..#..##.#...###...###..#.#.#..#..#####.#####..#..##..#.#...##.#.##.#.##..#....#..#.##...###..#.#..###.#..####..####.....####....#.##.####.#....###.#.#..###...##.##.#.#.##...##.##..#..###...#.###..#..#.####..#####..#.#..#..#.######.#.#.##.####....##......#.##.....####..##...##.#...#.#..##..#..#...#.#.##....#.#######....#..###..#..##.##...###.#..##.#.###.##...##........##.##.###..#.##...###.##.##..###....#.####...########..###.#....#..##..##...###.....#.#..#.##....#...##.#.#..#####.....#..##########...#..#..#..##.#.#.#..####.##....#.##.###...#..###.#.#.....##.#.##.##..##.#.###..#..#####..#..###...###.##..#..####.#.######..#......#..#.#....###..#..#.#..####....#.##..####..####....##..##.###....####.##.####.#......###.##.###.##..##.....##....##.#....#....#.####.###.....###.#.#...###...##.#.#.#..#..##..########.###.#.##..###.#..##.##.#.###..#####.##....#.......##.####.##...#....##..##..##..####.#.###########.###########..#...##.#..######..##.#...#..#.##.######..#...##.#####.##.#..#.##.#..##..######...####.....#...##....#...####.##.#...#...#....###.#.#.....##.#.#...#.#..#.....#..###..#...#####..#.....##..#..##.##..####.#.#..#.##.#.....######...#.###...#.#.#.#.##.#..##.#..##...######..#..####.....#.##.####..#....#.##.###.#..#.#..#.....#...#.##.#.#...##.##.#.###..#.##..##...#.#####..#.#....#.##....##.#.#.##..##.#..##..###......######..#..#..#.###......#.##.#.####.##.##.##.##.##...###
##.#.#.##...##.##.##.####..##..##.#..#....###.##..#.#.##.#.#.##.....#.###..##.#.##.#.....#####..#.#.#.......#####.#.###.#.#.##..#.....#...#..#.##..#..#.##.#.#...#..##.##..##.###..##...#..#..#######..###....#...##.#..###.##..#.........#..#.##.#.#..#.##.#.....###..##.....##.###...#...#..#.###..#....#....#.#.###.###.#....##..##..#.##.##.##...#.###..#......#..###.##.#######..##...#.#.#..#.##....#...#########.###.....#.#.#.##.##..##.##.#...#.#.#..##...#.##..#..##.#.#.....#...#.##..##...#...###.........#....#.###..#####..#..#.####.#.####.#..#..##..###..####...#...##..##.##..#..#.###..#.#.##.##...#..##....####.....#.#....#.#.#..#....#..#...####...####...#.#..##.#.##..###.#.##.###....##..........##...###.###..#..###...###.....#.###.#...#.#.#.####.#.#..##..##.##.##...#.#.###..#.#..##..#####.####.#.#..####.####.###..##..##...#..#...#..#.##..####...#.##.##....#..#..###.###..#.##...##.#...#.##..###..#..#.##.#..##.#..#.###...##..#.#####...#..##..#.##.##..###......#..###.#..#####.#...#..###....#####.##...##.#...#...#...###.###..###......##.###..#.#.#.#.#.#.#.....#....###.###.###.#.###..##.....##..##.###..#.##.#.#....####.##.......#..#..#.#.#.###..##.....##.##.####.##.###....#..##..###..#..##....####..#..###.##..###.###...###......###..#.##..#...........#.##.###.#####...###.##..###.#.####.##.##..#..#...#.#.#.#.##.##..###.###..#####..#.....##..####..##.#.#.#..#.###...####.....##.#.##.#....#.##.##.#.####.#.####...#.....#####.#..#####.##.###########.....#..#..####.....#.#.#.###..#.#.#..#.#.##.#.....#######.##....#..#.#..#...####.##.#......#####..##..#.#..###..#...#.##.###..#..#.#.#.##.#.#####..#..#.###.####....#.###...##...###.###..###.#.##.#.#..####.#.#..#..##...##..#..#..##.#..##...#..###.#..#.....###.#...#.###.##..#.#.#####....#...#..#####.......##.#...#..#####.##.#.....#####...##.#.#.#.###.###..#...#.##..#...#...#..#.#...######.#..#..#.##..#.##.#...###..#.#.####..#.####..##....#..#....#####.#..###...#.#..#.#.#.#.####.#.#######..#.###.##..###..#..#.#.....##.#####.#..#.####...##..#
######.##.###.#..#.#.######.##.##.##..#...####.######...##.###...##.#######..##.#.##....##.....#####..#...##.###.#.#.###.####.#...#.##.###....####...#.#...#.###.#.#...###.#.##........##..#..#....###.....##....#.#..#..#..#......#.#.#.#.######...###.###.##########.#.###.#.#...#...#...###.#.#..##.#.####.#...###.#.#####.#..#.##.##.#.###..#..#.###.#.#..#....###.#####.#..####...####...#.###..##..##..#..#..#.####..#....##.#.###.##.#.#.##.##.#.#......#.###.#..##..###.##.#...##...##..#######..#.##.#.....##.###..###....#....#.####...#..####....#...##.####..#####...#.#..#.#.###.##...#####.#.#.##.#...###.##.##..###.######.#.#.#.......#.##.#.##.##.#...##.###.##..####..#..#...###.....####.......#...##.#.#.##.#.#..#.#.....##.###...#...#...#...##..##.#....#.#.##.###.......#.##...####...###..##..###..#.##.##.###..#.#..#..##.##.##..#####.#....#..##......###.#.###..#.###.##...#.##.###...##......#.###.#.#.....###...#..##..###..##.#.#.#.#.#..###.##..#.....##..###..###.#.#..#..#.....#.#.......####.#.###..#.#...###..#.#....#...####..#...###.#.##...####.#.###..#####....####.###...##..####.#.###.#....####.#.###..####.#.##.#...###.###..####.#...#...#.#.##.##.##...##...##.#.#..##..##...#......##.#..#..#.....#.#.###..#..###.#.....###.#.##########.#.##.######.######.#.#..#.##.##.#.#####..###..######.#.###...#.#.#..#..#..#....#...##..##..####..##.....#.#####.#.##..#..#..##.#......#..##..##.....#..#.#.##.#.#..#.##...##..###..##.##..#...####..##.##.#.###.#.#..##.##.#.#.###.#..###.####.##..#.#..##..#.###.###..##....#....#####..##.##......#.#..##........##....#...##.#.###.##.##.#..###..#.##..#..#......#.###....#..#######.###...##....#..#.##.#.#..#.#.#...#.#..##...###.#.####.##.####.#.##..#####..#....#.##....#...###.#.####.#...####.#.###.#.#..#...#####.....###.#..#.###....###............#.#..#...#####..##.#####.#.#....##.#.#...###..#..###.#..#.##......###..##........####....###.....##.#..#.#...#..#.#...##.######.#..#....#..#....#...##.#########..#.###..###.#.....##.#....##...#.....####.#.......#.....
########.###.#.#..#.#....#...##...###.###..#...##.#.####....#..#..#.#.#.###...######.#.###.#.##...#.##.######.##.#.##.##.#....#..#....#####...#...###.#.#.#.#.##.##..#####..###.##.#.#......#####.#.#....#..#..##.#..##.#########....###.......#.###.#...#.#...#..#.##..##.#.##..#.#....##.##..##.####.#...##..##.######.##.#....#..##......#.#.#.##.###..#.#.##.###...#.#.##..#..#.#.#..####.##.####..#...####...##..##..###...###.#..#..###...###..#.##.##....##.#.#####..#....#.#...###.###.#########.##.##...#.#.####.#...#.##.###.######....#.....##.....#.##.#.#.##.#..#.#.#.#.###...#..###...###.#..###.#.#.####...#..######..#..###.#...#...####.#...#...#..##..#.##..#.#.#..#.###.#........#.#####....#...#..##...#.#.#....#..#..####.....#.#..#..#..#..######.##...#..#...#####..##..#.......#.##.##..##.#.#...##..#.....##.##..#####...#.##.#..#.#.#.#..###..###.###...#####..###.#.#####.###.#.##.#....#..##.#..##...#.#.#.#....####.#....#.###..#####...#....##....##.##.###.#..#...#..#.#....##..#.#....#..###..#..##.##.##.###....#.###.#..##....##..#.##...#..#.#####..#######..#####..#..##........##...####.##..#..#.#..#..##.....###.##.......#####..#.#..##.###..###.###.#..####..#..#.#..#.#.###.#.##..#.###...#..#..####..#.####....###.###.#.#.....##.#..........####.##.#..#.########.#.......#..##..#.#.##.#....#.##..##......##.##.##..#.#.#..#.#...#.#.###..#.#####...#..#.....#..##.####.#....###.#########.######.#.##.#.....#.###.#....#.##..#..#.###.#.####....##...#..##.#..##.#.#.##.####..#....#.####...#...#.##.#..#.....####....##.##....###..####.###.#..#..#######...###.###.#..##..#.###.#....#..#..#..#.#.###....#..#######.#...##.#..#.##.###.#.#.##.....#..#.##.###.##....#..###..#.######.##.###.##.......####.#....#....#####...#..#.#.#.#..##.#..#.....###...##.###.###...#....#.##..###.#####...##.##.######.##.#....#..#.#.###....############.....##..#........###..#.....#.#.#.#..#...###..##.###.##.#....#.##.####.#..#.###.##.#.######.##..#....#..#.#########.#.####....####.#..#..#....##.#...#####....###.#.#....#.###.#.#
.##..#..#..#.####.#####....####.###...######..#......#####.##...###.......#######....#.#.##.#####..##.#...#.#.#######..##.....#.#####..###....##......##.###.##.#...#...#.##......##......#.##.####.##...##..#####.#.#.####..#...#.#.###..#....#.##..#..#####....#..#.....###.#####..#...##.#.####...#######.####..##..#.#..#.#.#....#..##..##.####....#.####..#.#.#...####..##..###.###...##..##.#....##.##.#.#.#.##.#...#.#..#.##...#..#.##..####.#.....#.##.#..####.##.##.####..#.....##.##...#....##.......###.#....##.##.##..##.##.#####.#.......##....#.....#..#######.##....##....####..#.#####...#.##.#.#####..#.#.#....###...#######...########.##.#.#.......#..###.#..#.##..##...###..##.##..#.##..##....###..##.#.####...#...##..#....#.##..#.##...#.##.......#.###...##.#####...#.#####...##.##.#.#.#.#..###.#..####.#.#..#.#####.#....###.....#..####..##.....#.#####..#..###.##.#....#.####..###.....#..#.#.....####.#.####...##.##.....#....#.##.#..#.#...#..##..##.##.#..##.....#..##.#..#.#......###.#....#...##....#..##....##.#.###.##..##.##...#.##.....###...#.####..##.####..##.#.#.##..#.....##...###.#.#...##..#.###.##.##.#.#...##..#.##....##.##.#.#..########.####.##.###.####.##.#.##....###.##..##.##.#..........########..#.....##....#........#....#.#.##.##.#.....#..###.##..#...######.#..####...#.#.####..###..##..##..#...#..#.#.#####.##..#...#.##.#.###.#.#.#.#.####.##....##.#...##..#.##..#..#..##.#.#.###..#..###....#..#.#.#..##..#.##.#######.#.####.#.....####..#..###.#.########.####.###.##.#.#####.##.#.#...#..##.#..#....##.###.....#.#.#.##.####..##......####...###.##...##.....##.#..##.#.#..#.###.#..#.##.##.#####..#...####.#######.......#.##.#.##..#.....##..###.....#..##..#..#.#.####..#####..#.##..#.#....#####.......###.###.....#.#...###.#...#..#.###..####.#.......##....#.#.##...##..##..#..#..#..#..##.#.#.##.#..######.###....#.#...###..#..#.#.#....#.#.#####.#..#...##.##..#.###.#....##..#....##...#.##...#.##...#.####.#..#.###...###.#......#...##...####...##.###.###..#...#.##.###.###.##..##.##.....####
##.###.##.#..#...#.##...#.##...##...#.#..#.#.#####..#..########.##.....#..#.####.####..#...###.##..##.##.###..#.#.######.........#..##...#.#..#.##...#....##..##.#.#..#..##....##.###..##.#..#..#.#....##..###.....#.#..##....###.#.##.......###.#....##..##...##...#..##........#.#..#.#..####.##..#...#.##..#.#.###..###..##.###..#.#####..#.#.#.#....#..###.#....###.#...###...#.#...##....###..##..###..#.##....#.##..##..####.......#.##.##.#.#.###..####.....##....#..#..#..#.#########..####..##...#..#..#.#.###.###.#.############.#####...#.#.##..#.####.####.....#..#.#...#.#.#.#..##.#.####.#.....#..#..###.#####.#.#...#..###....#....###...#.##..#.##.#..#..#.######.#.##.#.#.#.#.#.#.......##...#......#.#####..#...##..#..#..#.#..#..##..#..#.#..#.#.#..#.##.##.###......#.##.###.##..####..#..#.###..#...#...##########..#.####...#..#..#..#.#.###.#.#.#.#.##.#..##...#####..####.##..#.#.#....#.#.#...#.#..##...#.##.##.#..##..#...##.##.##..##...##...#.....#.##.#..##.#.##.#.##.##.#.####....###.#...##.#####.#...#.##...#.#.##.###..#.###..##.#.##.#.#..#.#..###..#..##.##.#..#.###.########.####...##.###.####.#...##..###...#..####..#.#..####.#.#####.###.###.#........#.##.#.#..####..#.#...##..#.##.#.#####.##..#...##.....#.#..####..##..#........###.#.#..##....##.###.#######..###.#.#.#...#....######.#.###.#.##.#..###..###..###.##.##....#.##...##....###.#..#...#.#.##.#.#.#..#....########.##...#...###..#####.##.#.....#.##.#..##.##..#.###.##..#....#.###...####.#.#......#.......##....#.##.#..##.#..##.##......#..#.####...####.####.#..##...#..#.##.#..##.###..#.###.##.#..#..###.##.##.#.#.##.#...##...##.#.#.#.#...#####.##.#..##.##...#.####..##..#####.##..#..####.##.#..#.#.#.#.#..##.#.#...#.#...#.#.#..##.#......##.##..#.##...###.#####.#...#...#..#.#.#...#.####....#.##.#...##...#.#.##.##...####.#....#.##.#..#..###....#.#..##.##..#####.#####..#...###.##..#####..#.###....##...##.####..#.#....#.##.#.#..#..#.#..#.#..#..#.#.#####.....#.#..#####..##...#.#..#.#..####....#..#..#..#.##.#####.#####..#.##.#..#..#.#####..#..
.##.##.###....#..#.#.#...#.....###....#.#..#...##...###..#...####..########.####...###.##.#.##.....#.#####.#.....#.#..###.....#..#########....#.#...#.###.#.#.###..#.........##...##.#..#.###.#...#...####..####..#..#...#...#.##..#.####..##.##.##.#....#...####..###.#.#...##.#...#..#....#..#..##...##.#.###..#.#...#.#..#.###.#.##...##..###.####.#.#.#.....####.#.#..####.#..###.#.#######.#...##....##..#.##..#....#..#..####.##.###.#######.##....#.########...###.###.#.#....#...##.#.#.#..#####.#.##...#..##.#.#######.#.#.#.##.###.##..#...#.##..####.###..#####...#.##.#....#####.##.#.#..#.#...#.......#####....#.###...#####.....##..#.#.#.##..#...#..###...##...#.##.#######.#.####..##..##.#...#....####....##.###.####..#.#...#.#...#.....##.#..#.#...#.#...###.####.....#..#..###.....###..##...#.###...#.##...#######...##..#.####..#.#.#......###.###.####..#.....#.##..####..##...#.....#####...##...###.#.#...##.##......##.###.##.##.#..#..#.####...#.###.....##.#.##..##.###..#.##.##.#.#.##....#######..##.#.######.##.............##.#.#.#.#...####.#.....##..#..#.#........#.#.#..###..#.#.#.#.#..#...#...#.#..##.##......#..##.#.##....##.##.#..##..#.##.####.#######.##.##.#....#..##....####.....#.##.####..##.#.####.....#...#####..#########....#......###.##..#.###.....#.####..#####........#####...###..###.....#..##...#...#....#.#..#......#.##..#..#.###.#.###..###.......#.###.#.##.#.###.....##.###.##.##.###.#..#..#.##.#.##..#####.#.#......#####.#.#######...##..###..#.#.....#....#.#...#######..##.#.##########..###.#.#######.#..###...###.#..########.#####..#.###.....#.#.#......#...#.#####...####.###..#.##..####.###.#.##...#.......##...#.###.#.#..#...###...##..#.#.##..###..#..##..#...###.###...##.#######.###..#...#....##.##...#..##.##..#.#.##.#....#.#..###.###.##.#..#..##..#####.###..##.#..##..###..##.....###.#...#.####...#.##......#.#..##....#.#...####.###....##...#####..#......#.#..###.#.##.#.#..#.####..#...#....#.####.#.#...#...#.....#.##....#...###..#.#.##..#.#...#.####..#.##.#.#...##.##.......#.#.
.#.#.#..##.#....####.#.#..#....##..#.##........######.#.###..#......##..####.#.#....##...#.#.##.###.###.#.#...#.#######.#.##.##.##.#...###.#.#####..#..###..###...##.#.#.#..#.#....#.#.#..##.##..#.###...#..#.#....#...#.#......#.#..##..#..##..##...##.#..#..#.##.###....##.#..#....#.###.#...###.##.#..##.........#.###.##.##..#.###.#..##.#.#.#####.#..#..#####.##.##.#.#.##.#####....###...#.########...###...###..#.#..#.#.##.##.##.#...###.###.###...#####.#..######...#......###.###...##....#.#....####.##...#.#.#..#####.#....##..###.#.#..#####..##.#....##.##..##.##..#.#.##.#.##.##.##..##.######..##...###...#.....#####.....#.###.#..#..#.##..#...##...#.##..##..#..#.#####...#.###....##.#..#.....#....#.###.##..####...###.....#..##..#.##...#.##..#..#.##...#...#...###.###.##.#...#.#####.##...##...##.##.##.#...#.....#.....##.##..#.##..###.#.##....##..##..####.#....####.#.#....###.#..##...#.##.##....##.#..###..#....##..##.#..##..#.###...###....#...####.#.#..#.#.#...###..####.##........#..##..#.#..####...####.####.#.##.#.######..#.#..#.##########....#..###########....##.#...#...##.#.##..#.##..####.#...##..##....###...##.##..#..##.#.....#..#.#..#.#.##..#..##...#..##.#........###...###...##...#......##....###..#.#.#..##...#.#.###.#######.#..#.###.#.#.........##.#.####.###.##.#...##.####.#....#..#.#.###.#...###.#..#####.#.#...........#..##...###.#####.#.##.#.#...#.###.##.##..##.#.#..###..###....#..#...##.##.####.###.##...##..##.##.....###.##.####....#.#.###.#.#..#..######..#.....###.#.#.#..#.#..#...###...###...#.....####..####.##.#.##..##.###..####.##...###......#..#.##..#.....##..#####....###..#.#.####.#.##..#.###.#..#...####.##..#.##.#.###...##.#####..###.###..####.#.#..#.####..#..#.#..#...##.....#.#.#.####..###.......#.#..##.#....#.##..###..##..#..##.##......###...####...##.#....#....#.##...##.#.....##.##.#.##.#.#.##.....##....##..###...#..#........#.##..####.#.##...###.#.....##......####.#.#..######.##..###########.##.#.###....#..##.##.#.####..###....##.....###....#.##.#..#...#.###.###
.#.#.###.#.##.###.....#..#....#.....#...####...#.#.#..#.####..#.#..#.#..#...#.###.##.##.#.....##..##...#.##....###.#..#...##....####.#....###.##..##.....#...#.#.##.###..##.##..##....#.....#...###.#.####.#..##...##..##..#....#.#....##.##..#.#..#..##.#.#.#.....#.#......######.#.#....#...####......#.##........##.#..##....#.##...##..#....#..#..###...#.##.#.##.##.###.##.....#.#.##.########.##.....###...##.###.##.#.##.###.#..#..#.##....##.#######.####.#.......##.##.##.###.##.##.#...##..###..######.##...#.#.##..#..#.#.###.#..#.###.###.##.#.###.##.##......#.###...#..#...######.#.####.......#....#.#.###..#...#.###...#.#.#.##.#.#####.....##.###.#.#...###.#.####.#.#..#.#.##..##.##.###..#..#..##.####..##...#.#..#..##.###.###.#####..##.##.##..#.###...####....##.##.#..#...#..#.#.#.#####.##..##...##.#.#####.##..#.#.#.####..#.#...#...#.#.#.####.#...##.##.......#.....#..#..######.###.###.##..#.#....##..#.#.##.####.#..####..#...#.#.#.#..#...#.##.##..#.#...##.#..######.#..........#..###..##...#....#........#..#.#.#.#...###....##.##.......#####.#..####....#.#.#.###.#.####.#####..#...#.#.#...###.###....#..#####.....#...#....#..###.#.#....#.##..#.#.###.##.##...#.....###..#.#.#.#.###########...####.....#..#.####.......####..#...#....##.##...###..#.#..#..#..#..#...#...##.....###.####..#.#..#.##.....###.#.##.########.###.#..#..###..#.####...##...###.###..#.###.####...#.##...#..#....##..#.#.####..#..###..#####..###..##.#.#.#..#.##...#.#.###..#......###.....##..###.##...##.#...###.####.#.#..##.#..##..#.#######.#.###..##.#..#####..###..##..#.#....#.#..#.####.####...##..#.#...##.##.##..##.##.#.#..#...#.#.####..##..##...###...##....###.#...#.#..######...#.##.#...###..##..#.##........#..##.....#.###...#...###.#..#.#.#.###..###.....##..##......#...#.#.##.###.##..##.#....#.#........#.####.#.##.##...#..#.#..........##..##.##...##.###.##.#.....#...####.#.##.#..#..#.##.###.#.#....##..#.#####..####..#...#...##.####...##.#..#.#.##.#.#.#.#...##.##..#.#..##....#.##.##..#.#.....#########..#.#.#..###.#...##
#.#.#.##.....#.####.#....#.###..##.....###.#.##.####.#...#.##..###.###.#.#.#.#..##.#.#.##...####...#.....###.##..##.#.##..#.#.####.###..#####....##..####.#..#..###.#.#.#...##.#...##.#...##...#...#.#.###.#...#.#.....##.##.###..#...#####.#.######..##...#.#...##..##..##.###..##.######..#....##.###.#.##..##.###...#.#....#..#.#.#.####.#..#.#....###.##.#####.###.###..#...#.#.####...###..#..#......###.#.##...#.####.#....#.##.##.....##.#.#....##.#.#.#.###.#.##.#..#...#.#.##..#.###.#....##.....#.#.#....#...##.#.##.#####...#.##.###..#.##.##....#.###.#..###.#..###..##.##..#.#...##....#.######.##..##....#.......###...#.##.#.###..###..#..###..#.##.##.......#..##..####....#.##..#.####..####..#..#...###.#..#.#..####...##..##....#.#.##..###..#.#.##.##..#.#..##.#######....##.#..#.#.#.#.##.#..#..##...##..#.#.#..#...#.##.#.....##..#.##.#.#.###.##.#####.#..#.########.##..#.#.#..#######.#....##.###########.....#..#..##..#.#.#..#........##...#..........###...##.####...##......##.##.#..###.#...#..#####..##.###.#.....###.####..#.#.######..######.###.....#..#....#..##......#####.####......#.#..##..##...###...#.##.#....#.#####....####.##.###.....###.#.#.#....#.#.####.#.#..#...##.#....#.#.#####.##.#..#.#..#.##..#.###.......#####.###..#.###...#.###.##.#..#####..##..#.#.#.#.######.##.#.#...#....##.#..#.#.#...##.......###.##.#.######...#.##.####.###..#.#.#.#.#.####.#..#...###.#####...#.#..#..#..#.##.####.#.#...#.#..########.########.......#......##...##..#####.#...###.#......##.#....#.##....#.###..#.....##..#.###...###.#.##..###.#...#..#.######.#.#..#...###..#..##.###..#..##..#....#.#......#.#..#..###.###.#..##.#....#####..######.###.##.##.####..#....###.#.....#.#.#.#.#.###..####...#..######..#..#.###.....##.#.#.#.##..#..###.#.###..#..#..##.........#..#....###....##.##......#...##...##.#####..###...##..##...######....#####.##.#.##.#.#####.#....#.###.##.####...##.####.#.##..#....#####.###.#####.#..###.#.##...#.....#..#.#.#.#.###.#.#...#..#.#.##.##.#####.#.##..###.#.##..##.##.#..#..##.#.#####.##.#
.##.#..#..#....#...####.#.#.#..##.#.....#.#..##.#.#...#..#.##.##.#..#..#.#.#######....##..#...####..#.#.##..#.#..#.##.###...#.#.#.#.##.#...#....#..##.#.#..#.##........#.###.###..#.#.#....#....#.##.##....##..#.#.##...###.#..###..##.#..####.....#####..#...##.#...#.#.......#######.########.##..#..#.##..##.#.#####..#.....#.###..##...###..#.##..####.##....#####...##..#.#..##.#.##..##.#...#.##.......##.##...#.#.#.##.##.#######.##..#.#.#.###..#####..#...###.#......#..#.#...##...#..#...#.#.......##..###.#..#.#.#.##..###..####..##.##......#..####.#....#.#.#..#.###..#..#....###.#..#..########.##.##.#..#.#...##..#.###.##...#.#####..##.##.#..###.##..####.##..#.##.#...#..#.###..#.#.#.....###.#.....#....#.#.##.####.#...#..#..#...##.#.###.#.###.....#.#...#..###..#.#..#....##..###.#...#..#.##.##..#..#######........#####.##..#..#...#########.##.#.####.#.###..#...##.....#..#.#.##.##.#.#.#..####.####.....##.#..###..##.#.....#..#..#...#.##.....##...#.#....#####.##.###.#.#...###..##..#.####.####...##.#.#....########.###.##..........#..#.....#.###.#...###.#.##...#.#.#.#.#.##.#####.##..#..###.#...#####..##.##...##.#..###...#.##.####.#...##..#.....#.#####....####..#####...#####....#.#........##.##.#..#..#..###.#####.##.###.##.#..#.#####.########...#.#.#..####....##.########.###...#.###.#..###.##..##.#..#.#..#.#.##...#.#..########...##.#..#.#.#########..#...##..###...####.....##.###..#.#.#...#.##.#..#....#.##.#.....###.#.#..##.##.##.#..#.....#...#.###.#.#....#.#......#...####.#.###.##....#...#.#...#.##.......#####..##.#...#.#.#.#..#.#....#######..#..#.#..#.#.#....###.#..#.#####...##.#..#.##.###.#.#.#.#.#.#.#.#..#....##.#....#####.####...#.#......##.#..##....####...###..#.##..##.#.####..#..#.#.##.#.#.###.##.#.##..#.#.######.#....#.###.#...##...##.##.#..#..###..#..####...#.##..###.#.#.###.#...#..#.....#..#.#.####.##..###........##...#.#.#....###.##.##..###...##..#...##....####..###....####..###.##...#..#.###...#.#..#..###.##.###.#...####..#.##..#.#..#..#.#...#.#######.....##.###.......#....#.
#..#.#....#..#.###.#.##...#..##...#......#.##.#.###..##.##..#....####.#.##....#..###......#.#...#.###..#..##...####.#.##.#..#..###.#.#.#.###.#######...#.#.#...#...#.####..######.####.#.#.#.....####...#..#.###.#####..#.#..##..##.......##.#.###.....#....##.#.#...#.#.#.#.#...#.......######.##.##.#.#####..##.#######..#....##...####....#.#...######...####...#.#.#..#.#.#.###...####...#..###.#.###.##.###.##...###.###.#####.#####.#.....#..#.##...###.#.#####....#.#.#.#.###.#.#.#.#...###..##....##.#...#...###......#.#....####.#..##..#.#.#.##.##.........#...###.#.#.....###..#...####..##.##.###.####...#.##...#..####.#.#....#.#.#.###...#.....#.##.#.....#..####.###..####..###.#...#..#...#..##..##.###.##.#.####......#..####.##.#.###..#.##..#....##...####.#..###.###..#.#.#######..###.#...#.#.#..##.#######...#.##...#.##.##......#.#####.#.#.....#..#.#....###..#..###..###..#.#.##....##.#.##...#.#.###.#####.#.##.##..#..#.#.#..#######.#.##.#.##...##.##..####.###...###..#..#...###...#####.#.#.##....##.####.#...####.#..###.###.#.##.##..##.....#.##.#...##.##....###.###.#..#####.###...#.#.#..##.##..#.#.#.#..##.####...###.#.##...#.###.#..##.#.#.#.#...#.#....###..#....##.#..#.#.##..#.#..#..##.#..#...##..#..#####.#.#.#####..##.##.#####..#.####.#..##.####.##.##..#.##########..###.###.######.#.##.######.##.#.#.....#.##.##.##......#.##.###########..##..###.#......#...#####..##....#..#.##.#......#...#..#.#.##.#.#.##...####.##.#...###.##.##....##....#.####....#.....##..####...#..###..#.###.##..#.#.##.#..##.#######..####..##..#.......#....##.###.####.....###.##....##.##.#..###...#......####.#..#....##.####.#####.#..###.####.##...#...##.##...........#..##.#.........#.###.....#....#..##...#..#.##....##....#.##.#....#.#..##..###..##.###..##..#..#########.####.#.#.####....#....#..###.##.##..#..#.......##.##..##...#.###.####...#...#.##.#.....#.######..#######.#####.#######.###...##....#...#.#.#.#.#..###.#..#.#####.#.#.....#..#...#..#.###.####...#######.#...#.#..######.#...#..##..###.#.##...###.#.#.#....#
.#.#...#...#.#.#...#.#..#.#..#.##.##..##..####.#...#...#.#.....#....#.####..######.#####...##.##.#..##.######..###.#.##.....#..##.....#..##.###..#...##.....###...#....####..###.##.###....#.....#..###...###.####..###.##########.###...#..##.##..#.##.#..#.##.###.##.......#.#...###...#.##..#.##..##....#.##.####.##.......##..##..###.#.......#..#......#.##..#..##...###...###.####.####.#........#.#....#.#..#.##.####.#.##..#.......#.#..####.##....##...#.####.##.#####....##.....#######.#..####.#.###.#.#...#.##...#.#.##.#...###.#####..#..###..#.....#...#..####..##########....##.#..#.##########..#..##.#...###..#..#...##.#...###.#.##.#..##..#.##..#####....###..##...#.#####.##....#.#..##.#....#.#.##....#.#.##..#.####.#..##.##.#...#.##....##.#....#..##..#.....####..#.#...#.#..####..#.##..#..#####.##.###..#####........#######.##.#.#..###..##.####.##..####..####..#####..#..##.#.##.#.#.#.....####..###...##.#.#..#.####.#.#...#...##.#..#..#...#.#....##..#######.###.....#..###..##..#...#.#.#..##.##...##.#####.#..#.#.####..##.#..####.#..#..#..#..##......###.########.#..##.#...#.........#..#.#######.#..#.#.##...##..##.#..###...#.##.#..###.....#..#..#........#.##...#.#..#.##...##.#..#..##.#.#.#.#..####...##..#.#.....####.#..#..#.########...####...#..#.##.####..##....##..##.###.##.#.###.##...##.####.#.#.....#..##....##.#..#..#####.#.########.#.###...##..#.#...##.###.#.#.####..#...##.#####.#.#######.###...#.#.##....##.##..####..#..##...###.#.####.#..##...##.#..#.##.#.##...##.###...#...#.#.#####..#....#.#..###.##.###.###..#.#.##.##.##.....#..###..#######.##....#.#.#######.#.#.##....#..#.##.###.#.###.##.##.#.##..#...#.######..##.#..#...###..#.##.....##.##.####.#.#.#.####.##..#..###.##..##..#.##.##.#.#.#....#........#...#####...###.#..#....#..#.#..#.....#.##.##.#...#.#.####.#..###.#.#.#....##..#..#..##.....###.#.##.###....#.##.#.#.##.##....##.#..#.###....###.....##...#.#.....##..#.###.##..#.#..#...#.....##...###...###..#.....#...###..###.####..#..#....#######.....#.#.##....#...#.#..#.#.###..#.
###.###.###..#####.....#..#.##.#.....##..#..###.##.##..##..##.#....###.#...#####..#.#..##.#..##...##.#.###.#..##..###...##.##.##......##.....#.##.#####.#..#.#.##.#....##.......##..#...#..#.###.........###..#..#.#...#.#.###.#.##.##........#....##.#.#########.#...#........##.#.#.##.#.##...####..###..#.#.###.#.#....##.###...###.#..##.#.#...####.####....#.#.....#.##.#.#.#.#...#..#####.#..##.####.##..##..#.###..#....##..###.###..#.####.#.##....###.##..#.#..###.###.#...##.#.###.####.###.#######..#..#.###..#.#..#####.#.#..#...#####.####......#..#...##..##........#...##...##.####..##.##.#..###.....##.##...##.####....###..####.#.#..###..##...#...#.##.#..#.#.#.####.#..##.#..#..#.###..#...#...#.#..###.....#..###.##.#....##.#.#...#..##...#.##...#.#.#.#..###..##..###.#..#.#.##..#..#....##..##.#.##...#..#..###.#.##..##...###..##.##.###.###...#.####.#..#....#.#..####.#.#.#.#..#....#.###..#..#....##..#..#..####..#..#..#.#.##..##.##..##.##..###...##...##.####.##.#####.....#.##.###..#.##.#######.##.##..##..#..##........#.##.###..#.#.###..##....#....####..#.#.##.###..#..##..###.....##.####...#........##.##.######...#...####....#####..##.####.#..#..#.......#...##.###...#..##...#.....#.#..#....###.###....#####.##..#.####.#.##.#.......#...#.#.##.#.#..#...#..#..#..#.....#.#...##..#...####.#....#....##.#..#...#....#.###...####.#.#.##.###..##..##..#.##...####.#.#...##.#.#########...#####.....#.##..#.#..#.###....#.#..##..#...#..##.#..###.#.#.####...#....###..##..####.#....#.#..#.#.##..#..#..#.#....##..#..#..#.......#...##.###...####....##..#....###...##.##..#..#.####......#...###...##..#####......#..#.#.######.###.#.#...#.####.###.#..#.#.##..##.##...#.#...#.##.###...#.#...####.....#.#.#.....#.#..#.##.###.#.##...#...#..####...##....##.####...#.##.##....##..#...###..#..........##..##...##.#####.#.#..##..##.##.#........##..##.#.....##.###..#####.###...##.#...#..###.....#.#.....#####.##.##.##..#.###.####....##.#.####.###..##.#.#.#.######..##...##...##.#.#.##.#..#.#.##.#.#..##.#...#.###.#.##.#..#
##.#.####..##.#.####.#.##.##.##........##.###.#####.##.###.##..#....##.#..#..###..#.#.##....###.#..#.#.##..##..#.##...#..#....#.....##....#..####.....#####.#.##.##.#####.#...##.#.#..#..#.####....#####...##.####.#.....##...##....#....#####.#........#.#.##......#..#..#...###.....#.#.##....##.##..#####.###..#..#.####.#.##.#..#...#..#...###...#....#..##.#..###...#.#.#..##.#.#...##..#.##.##.#.#.####.##..#.#.#.#....####.....#.####.....#..#.#..######.##..#.#..##......##.##..#...####...#..#....#...###...#..#.#.#..##..#....#....#.#.###..#..#..##.#..#..#.....#.#......####....#####.#........##......#....#.......####..#......#.#........##.##.#...#.#.##.##..##.##...##.....#.##...##.#.#..##.#.#..##...##.....##.##.##.#####.##.##..##...#.###.#.##..#..#.#..#.#.###....##.#...##.##.###.#...###..#.#.#..##.#.##...##.##.###.######..#....#.#.#...#.###...#..###.#####.##.##........##.#.#.#.#.###..#######...##.#...#.....##....####..#####.#...##.#.######.......#.###..###.###.#.##.####..#...###.#.....####....#...###.####..#.######..#...#..###.#..##....#####...#....#..##..#.#.##.#.#..###.#.#.######..#.#..#...#.##.#.#...#..###...##.......###....#..###...#.#..##.#####.##..########.###.#..###..####..##...#.###.#######...##..##.###..##.#.##.#.#.##.#.#.#.#.#.###..#.##.....###.####..##...###..###.#..#.##.##..###.#...#.#.#..##.#..#.##..##.##.###.####..####.##.###.....###...###.#.#.....####.##..#.##.......###.##.#..#..###..##.#..#....#.###...####.##..#..#....#.#..###.#..#..#...##...##..#####.###..#####.#..###..#...##...#.##...#..#..#..#.#.#.#.....####...#####.###.##.#.#.##..#.#.#..#.#.#..#..##..##.#.##.#..#####.##.##.##.#####..###..###.#..#.##.#.#.#...#..###...##..#.####..##.#....##.##..#.##..#..###..####.#.#.###....#.#.##..#..##.###.#.##...#..#.###.#..#.#...##..##..##....###..#####......#..#.#....##.#.#.#.###.####.......##.##.#..###.#.#....#.....#..##.####.#..#..###..#.##..##....#..#.###.##...#.#........#####...#####...#######...##.#...##.#.#.#####.###.#..##..#..#.##.....#.##.......##.##...##.#...#.#.
.....###..#..####...##.#..#.#..#...#..#....#..##.#...#...#.######.##.#.#.....###...##...#.##..##.##.#....#.#.#.###.#.####.##.###.##....#..###.#....########.###...#.###.#.###...######....###..####.#.#.######.##.#...##..#...#.###..##..##.##...#...#...####.##.#..#..###.#........##..#.#.#...######...##..#.#.#.########..##.####.##..#.##....####...###.#.#.##.##.#.#.#..#####.##.#.#.#.##....#.#.#.#.#..#####.#..#..#.#####.#.#.#####.#....##...##..#.##.#.###.##.#...#.##.#........#.#.#.#.####.#.####....###..#.#...##....##.##.#....#..##..###.....#..#####..##..##.#.#..#..###..#..###.####..#..###.....##.##.#..#..##.###....##.#..#.##..#####.####.....######..####.....#...##..#.##...###.....###.......#...#....#.###.#.#....#.#.#....####.##..#.##...###...#....#..###.#.#.#.#.###..##...#...###..#...##.####..#..#####...##.#.#.###.#..####...#.#....####...########..####......###...###.#.#..........#..#..##...#.#....####...##...#.##.#.#.#.#####.###......##...#..#.##.##....####.##....#..#..####.#.#.#...#.####..##....#.####...#.#...##.##...#####.#..#....##.####...#...#...#.##.#..##.......##..##..#..#.########......#####.#....##.##.....###.###...#.####...####.....#..###########.##.##.##..##.#.####..###.##....###..#.###.#.....######.##..##...##...####.#######.#.####.##..#..#..#.##.#..##.#...###...#.....###.#.#.##....#..#.###.#...##.#.###.####.##..##..#..#####.###..###..##....##.#.##..#..##....##.#...#..#####.#..##.###.#...###.#............##.#..##.##..#.#....#..#.#.####.....##..######.##.##....#...#...#.#.#....###...##..##.##....#....#.#..#.....###..#....###.#.#..#.#.#...##..###..#..#...##.##..#.####.###.#.#.#....###....#...####..#.#......#...#......#...##..#.#.#..#.##..........##....#.####..#..##.##.###.#.###.#.##.#.#...##....##.#.#....#..##.#.#.#.....##.#..####.#.####.###..#...#####..##....#.....###.#...#......###.#..#.##....#.#.#..#..###.#.#####.....##.###.#.####....#####.####.#..###.#######..###.##.####..###..#..##.#.#...#.#.#...##..#..####....##.#.....#.#....##.###.#.#..##.#####.##....##.##
.#.#.#..#.#.#.###.....#.#.#....#####.#.##...#.#.#.#.#..#...###.....#.###.#...###.#####.####...##.#...#######..##.#.##.....###....#.#.###...####.#..##.#.....#..#......#..#..##..###...####...#.#..#.#..#..###..#.##..#.####..####..#.#..#.##.#..###...##...##.#...#.#....##.######.##.#.###.##.#..##...#.###.#...##..#.###.#..##.#.##.####..###..####...###.#..#...###.##.###.#.####....#..##.....#.####...#...###.##...#..#....##..#..######...##.#...#.#......##..###.##.##.#.#.......##..#.###......#..###.#..#.#.##.###.###....#..###...#..###...#.###....####.....#.#..####.#.##.....#.####...##.##...#...###.###.#..##.....#..#..##.#...#.###..#..#..##..#..####..###.##.#.#.#...###.#...##..##..#.###.####.######.#.#.#####.#.#.##.#..##.####..#.########....#...#....##...#.##.#####..#.#####.##....#.#..#....##.#.#..#..#.##..###...#..###.....##.#..#....##....#..##....##..##.#..#.#.....######.##..###..#...##..###..##.##.#.#.####.#...##.##..#...#..#.....#.#.#....#.....###.#.##.########...#...##.#..#.#######..##.#.#.##....#..#...###.#.#...#....#....##........#....#..###........##########...#..#.#..#.#..##.#.#.###..##..##...#..#.########...##....##.#..####.#.###.####.#..###..#..#.#..##.#..#.#####..#..####.#....#...#..#....#.##.#.#.###.#####.#..##.##..######..#.#...#.........#....##.#..#..#...###.##.#.###.#.##.#.##....##....###.....##........##.#.#.##.....#.....#..###.....#.##.#...#.#..##...#.#.#.######...##.#.#######...####..##.####...#.####.#.#..########.###.####.#.#....###...##..#.####.#.#.##......##.##..#.#.#..#.##..##..####..#.......###.#....###..#.##.##.###..##.#.##.#..#...##.##..#.#..###..#......###.#...#.###..####.#.#.#..##.#..##.##...#...#.#..##.####.####..####.##..#.##...###.##.#.#.#...##..##....###...#....##.#....##.#.##.##..######....#.###...#.###..###..#.##.#..##..#########.##.#.#########..##...###.....##...#####.##.###.##.###.#.##..######.#..#..#....###....#.#..#.....#.##.#..######.#..###....###.....#.#.#.####..#.#...#.#.#...#..#.##..#...##.....#..##.#.#.#..#.#.###.###.#...###..##.#..##
..##..##..##.#.###..###.##..#...###.#..###..##...#.#.#.##.##.##..##....###...#.####.#####.....###.#.##.#....#...#..#......#...####..###..#.#.......#....#...##########.##...#.#.##.#.#.###.##.#.##.####..#...#########.....#.#...##..#####.#.###....##....#.#.##.###.##.########.#####..###..#...####..#.##..##.....#.#.##.#..#...###.#.#..#.#.#####.#.#.########..#..#.###....###.#..#.#.#..######...##.##..#....#..##..#.#.###..#.###.#..##....#.#####.#####.#.###..#.#...##.#...#.......#.#..#######.#.#..##.##...#####.#....##..#..##.##....######.#...#..#.#..##.####.....#..#.##.######.##....###....##..###..###..#...#..###.##.#..#.##.####.##..##.##..##..#..##....###.#.###...#.#.#.#..##.##.####...##...##..###...#.#.###...#.#.##.##......#.#..####......####.#..#.#.#..#....#..#..##.###..##.#.#.#.###..#..#.........#####.##.#.....######....##..#...##.#.#..#.#..#.#####.###.#.##.##.#...##...#.##..####..#....#..##.##.#..#.#####...#.##....#.#.....####.#.###.#..#.#.####.##.##.#..#.##.#..####..#.#.#...###..#.#.#####...#.#....###.#.##.#.#...#.#...###......##......#.#.##..###.#.#...#..###..##.#..##.##.##...##.....#.##.#.#####..############.#.#.#..##.###..#####.#..#.#.###.##..#.....##....###.###.#..######.#...##........###..##....##.#..##.#.##....##.##...###...#.##....##..#.####.##.####.#..#...#####.#.###..#...#.#..##....#..##.##.##.#.##.#####.#####..#.##..#......##...#..##...#..##.#.##..##..##.####..........###.#...#.####.###.###...###..##...######..#.#..##....##....##.......####..##..####...#...#..#.#..###.#....#.#....#.####.##...##.#.#...###.#####.###.#...#..##....#...####.###.##....#.#.#..#.#..#..#####.#.#.#.###..####...###..#.##......#####..#...##..#.#...#######.#...##..#..##.#.#....##.##.....##..##.#...#.#..###.....###..#..###.###.##.#....##.####..##....####.####.#..#.#.#.##.###.##....##..#.#....###..#.###.#......#.#...####....####..##..#..#......####...#....#.#.#........#.#.##.###...#.#...#.####.#..####.#.#..#...#....#.#.##.#...#####..#.##...#.####.##..###.#####.#...##.#.#....#.######.##..#.#
###.#.##..#####....####..##.#..#######.###.#....#.###..#..#.##.#####.##.#..#..###.####.#...#...#.##.#####..##.####..####.###.###.#...##.##.#..##..#.#...###.###...#######......#####...#..#...#.#..#.#.#......#.#.#.#..##..###.#...####...#.######..########.#...##......##..#...#...##.##.#..####..#.#.##..#..#..#..#.###.####.#..###.#.#...##...##.#..#.#.#....#.....#..#######.##.#.#..#.#.#.#.#..##..####.#..#.##.###...#.#.#.##.#####.######.###...#.#..#######.##..##...##.#..#.#.#....#.#...#.##.##.#..##.##.##.#.###.##.##.#.#.###.#........#.#...####.#..##.....#..#..###.##..#.#.#.#.##.###....#.##.##.#.....###..##.#.#..#..##.#.#.######..##..#.....####.#..##..#..#.#####.##.##...#..#...#.#..#.......##..#.##...#...###.#.#.#...#....#.#.##.#.#####.#.#...##...#.#.##...#.#.#..###.#..#...##.#.#.###.#.#..####..##..##.#....###...#...##.#.#...#.##.##.#.###.##....#.##....#.#.#.....###...#.###.#.#....##...##.##########..#.####.#.##......#.##..#.###..##..#..#.##.#####.#...#.#.####..#.#...####..#.#...#.#.######..##...#.##.##..........##..##..#...####....#.##.###........####.#.#.##.######...#.#.###.####....##.#..##.###.#..###.####..#.#....###..#.##.##..#.##...#.#..#..#.##.#########...##..#####.#.##.#....####..###...#..#..#...#....#..#...##......#.##.....####..#...##..##.####..#..#.##.#.###.###..#.....##.....##..#.#.##.#..###.#..###.###....#....####.##.#.##..#.##.#.#...#######.##..#.##.....#.#.....##...##.#.##....#...#..#.#.#.#.##.#...#..##.#.###.##..##..###.....###.#.#.#.##..#.#..###..##.#.#..#..###....#..#..#.......##..###.##.####..#...#.#..#..##.##.#.#..#.##.#.######.#.....#.###..###...###..###....#........###....#.###.###...#........#..####..#....###..####.###..####....#...##.#..##..##..#.#..###..##...###.#.#####....##.#.#...######.###.#...#..###.......#.##.##.##...##.#..##..#..##.###....###.####.#...####..#.##..#.##.....###.#.##.##.##.###.#...##.##.##....####.##.#.##...#.#.#.###.####.####.####..#.#########..###.##.#.#.#.##.#....#.##.#.....##.#...##...#.#########..##....#..#....#....#.#.##...#
##.####.#..#.#.###.#..#...##....#..#..######.#..#########....#...#..#..###.#.##.#####.....#.#...#..###.#.#...##....#.#....#.#...####.#...#..#..#.####..##...#.......#.....#####...#.##..####...#..##.####.####....##.......###.###.####...#...##.##.###.#.##.##...#.#......#..#.#..##...####..######.###..#.#.###......###..####..##....##..##...#..##..#..#..#..#.#.#..#.###.##.#.##..#.#.###....#.#...#..##...#.#.####.#.###....##.#....#.....#.##....##..###..##...##..#####.##.#....##.#..#...#.#.......###.#.#.#.#......##...##.####.#...##...####....#...#.#....#..#.#..####.....####.....###.###.#.###.#.#...#..#.######..#..##..#.###.##.#...#.#..##.##....#.#..###.#.#.........#.###.#....#..#.#.##.####.######....#.#..##..#.##...####.#...#.#..#.....###...#...#####.####..#####.#.#.#..#...##.#..#.###..#..##.##.#.##.##..#####.#..####..###.##.##.#...#.####.#.###...##..##.##.#.#....###.##.#####......#.#..####..####...##.#.##...#....#.#.#.##..###..###..#.#...#..#.####.#.###....###.....#..#####..##..##.#.......#..#.####.##....#..#.##.......#..##....#.#.#.#.#..#.##.#....#.#.####...#..###..####..#...##.##..####..###.###.#.#..#..####...#.##.##.##.#.#.##..##.#.#...##..#...#..##..####.####.#...#.####..#####.....#..###.#...##.#.##.#..#.#.#......##.####..#.#.#.##.##.####.###....##....###..#.#.#.###.#.......#...#....###..#########..##.#.#..#...#.###..#..##...####..##..###.#.....###.#.####.##.##.....#.#.#.##.#.###....###.....#.#.#......#...#...##.##...#.#..#.#...#...##..###..#.#.##...#.###...####...#.##.#.#.##...#.#.####.#######....#.#.#.#.##.##.....#.#.##.###....###.#.......#.###..###..#.##....##..#.#..##.#.#####..##....##.##.##.###.....####.....#..#..#..#..#..####.....#.#####.##.#......###.##.....####.##..#.###.####...###.#...###.##..#.######.##.#############.#####.##.#.#.#...#...#..#.#.#..#####..#.....###.#####.#...#....#...#.#.######....#....###.....##...#..####..###...#.##.##..#.###..#.#...#.##....####.###.##...##.#....####.###..##.####.###.....###.#########..##..#.#.######...##.####.##..#..##.###..
#.......###..#####....#...##.#..#.##...#.#.#.#.....#.........#.#.#..##....##...##.##.#..#.#..#.##.#.##.#..#.##..#.##.#..........#.#.#..##.#..##..##.#..#....###....##.#.#..#.##....#......#....#..######..#....#...#.##.##.#.#.###.#..####.###..#..#.#..##.#..#....#...######.##.##..####.#.#.#.#.#.#.#..##...##.#.#...##.###.#.#.#.#.....#..##...###.#######.#.#..#.#..#.##.####.#.##..#..#..#######.###.##.#.#.#.##.##...##..###......#.#...#...##..##...#.#.#......#########..##..##...####..###.#.###.#..##.....#####...######......#..#...##.###.##.#...##...###.#.#..####...###....#.##..#.#.#######.##.##..#..#.#.#.#.....##.##..##...###########..######.#...#..#...#.##...####.#.#.....##.#####.#...####.##..###..#.###..##.###....###.##...#.#..#..#.#####.###.#.#.#..##..##.##...#.##.#.#.........##.###.#.#..###.#.###..#.#######.######.##.##.#.##..#.##.#...##...#.#....#.##..#.##....##.#....#.#..#.####.###.....#.#.##.##.#....#.#.##.#.##########.##..##.#..#.####.###....##.###......##.#...######.#.#.......##.....#.##.#..#.#....#.#.###..##......#..#####...#..##.#....###.##.######...#.#..#.##.##...#..#######.#.##.#.##.##..#.####.#...###...#.###.#...##....##...##..######...#.###...#..###.#.##..#.#.##.#.#.#..#.##.##...#.#....#.###......###.......#.####...#.##.#...#.#..#..#......##.....##.##.......##.....#.##...#.###..#.#...#..#.#.#####..#..##.##..##.###.#.###...###.#.#.#..#..##..##.###.....###...###....#.#.##.....#.####.#.####..##.....##.....##.......###..#..#####.....##.#...##.#.#....##..#####.#.....###..###.#..#.####...#.#.##.#####.###.##..##...#.#.####.........##.##..###.......##...##..##.#######...##.##.#..#.##.##.......#.###..#.#..#.#..####.##.#..#.###.#.#.#.#.##..####.##.#...###.#..#.##.........##.##..#.#####.#....#.######..##...##.##..##..#...#..##.#..#..##.#######.#...#...####..#.######.#.#.##.#.....#.#.##....#..##.####.#..#...#..##......#....#.#.##..#....#...#.##.#..##....#.#####.######..#..#.#######...##..##.##......#.##.#..#...#####.#####..#..##.#.#.##.#.###..#.#..#.#.....###..####...#.##
..##.#####.##.#.##......#..#.#...#.#.#..#####.##..#####.#.#.#..#..####.#..###...##..#.###..#..###.##..#######.#..#...#..####.....#.#....#.#.#..##.#....##.###..##.##...#..#..###.##.#....###.##.##.##.....#.##.#...##.##...##..#..#.....#..#.#..#.#..##...###.##.#....###.#...#...##.#.##..#.####....##.##.#..##...#.#.#...#.#.#.#.####.#..########..##..###.#.##...#...##..#..###..#.#.##.#.#.....###.###..#####.##..##..##.#....#..#.##.##...#.#....#.#.#...#..#..#.##.###..##.#...##...#.#...#..#.##..#.#..#....##.##.#....#.#.##.###.#..##.#####.####.....#..#..###.#.#.#.###...#.#####..##..#.#..##..##.#..#...###.#..#############.##.#.#.##.###.##.####.##.####.#.#..#.#######..#...#..#.#..#.#......#.##....#....#.#########..####.###.###..##....##.##..###.###..#.....#.#...#.#####..##..###.#####.##.#.#........##...#.#....##.#.##.###.#..##.#.#.######.####....#.##.#..####.##.###..#.#....##.....####.#...##.####..##.....##..#.#.###.##.###.##.#...#..####.#####.##.#.###.##.###...#.####.##....##.##.##.#..##.###.#..#.#..#..#....#.##.#.#.....##.#.......#####.##...#....#..##..#..##..#.##...#.####...#...####.#..#..#..#.#...######.#.##...##..#.#..###..#...........#....#.####.#.#....###.###..##.##.##.#.#..#.#.###.#.#..#..####.##.#.#####...##...#..#.##..##...#.###..##.##.#..##.#...##.#.#.##.#######....#..####.#.####.######.####.###..#..####.####.#.##...#.#..###..##..#.#....#.###.##.#..##....##...##.#.####....#.#.#....#.#.###.#.#.....#####.#.##.#.#.##.#.##.##.#######..##.#.####.#..#..##.##....#...###.....#.#..##..####.##...#.###.#.#.#...#.#..#..###.#.##.#.#.##.##...##.#..##.....####.####.#..#.###.#.##...########..#..###....#..##.##.....#.##...####...####.....#...#####........###..####.....##.#.##.#.#.#...#.#.###.##.#....###..###.#.#.......#.####.##...##.#..#........#######.#.#..######.###.#.###.##....####..#.#....###..#.#.#.#...#.####.........#.#.###..#.#....##...##.#.###...###.....#...##.#..##........#..#..##.#.#....###.#.#####.#.#.#..###.#####.......#...#....##....#..##....#..#...##.....###.#..#########.
#..#.#...#.#.#####.#.#.#.#.###..####..#.....#..#.#.##.##.####.#.#...###.##.#.#####.....##.#.#..####.###..##.##...#...#...##.##....#..#....#..###..#..#.####..##.#.#.###..####...#####.####....##..#.###..###..#....###..##.###.#.##....###...#.#...#.....#####..#...#.#....#.###....###..###..##.#.#.....#.#.##.########.##..##.#.#####.#########.#.###......###.#...#......#.##.##.#...#.#...##...####..##.##.#....#.....#..#..###.#.....#...#.#.#..#.###..###.##...#.##..#####..#...##...#..#####.#.#.#.#....##.###....###.#..#.#.#...###.#...###..##.##..##..#.#.#.#...###.#.#..##.#..####.###...#....#.###...###.#...##...#.###...#.##..#...###...##.#....###..#......##.#...######...#.#...##...#...#.#....##.#......##########.#...###........#.##.####.###....###...###.##....#...#..#.##.##.#.#.###..##..#..#...##.#..####.#..#.##.##...##...#.#####.#.##...##.#...#..#.#.#####...#.#..##....####..###.#......#..###.#.###.###...#.#.#.#....####....####..##.#.#.#..##.##..#...####...##.##......##.....###...#..#.##...#####.#.#..##...#...#.#.#.#####.#.#..#.#.###.#..#..#.##.#.######...##.........######.#.###.##...#..##...#.#.####........#...###.....#######.#.......#.###.##...##.######..##.#..##.##..#######..#..#.#.#####...##..#.###.#######..##.##..##...#.##.##....#..##.#..###...#.....#..........###....#####.#...##..##.#..######.##..#.###..####..##.######..#..#..##.#.#..##..#..#.#...#..#.#.##..###.##..#.....####.......#...##.#.##.##...#.####.##..##..##..#..#.##..##.###...##...#.#....###.#.#..#..##.##.....#.#..##.#.#.##.#.....#.##.#..###.#..#.###.#####.##.#..######.##.##.....#.##.#.######..#..#.#..###..#...######.#..###.#.###.#....#.####.....##..#######..####.###...#..#..###.#.#####....#....#..#.####...#.##..###.#......#......#.###.#..#####.#.#..##.##..#.########..#.#...#####.#.###..####.##..#...#....##...#..##.####.#.###...####.#..###.####.###.#.##.....####..#...####..#..###.#.###.####.....#.##.##.###...#.####.#..#.#.#.#.#.###.##.#.#####.##.#.#.#.##.#.###.#.####.#.###.#.##.####.#.##..#..#..#...###....#..##...
###.#.#.##...#..###.######.##.#.#######.#....####..###.##...#.##.#..#.###....##....#.#...#...#......##..##...#...##.#....#..###......##..##..##.###.#..##.....#...##.#.#...#..#.#...####...#.#.###...##.....###...##.#.##.#.#.#.#...###..#.#..##...#.#....#.#.#....#.....#.#...#..#.###.#..#..#.####.######.####.....#...######.#..#..#.##.##..#...#..####...#####....##...##.#.####.####...#.#...##.###....##.#.#..#...####..###..#..#.##.####..#.#..####.#.##.###..##.##..###.##.##..#.#.....#..###...###.##....#...###.########.##.....#...#...#.#.##.##.###..#..#..#.####........##...#..##.###.#.....#.##.##.####.###.#.#......##..##.#.####.###.####....##..##..#.#.#...##.####...#.#.....####.##..#.###.##....###.#.###..###........##..###....##.#.....#.#.##.#..#....#.#..##..#.#.##.#..#.###.#.#.....##..#..###.####.#######.#....###.#..#...######....#.#.#.##..#.....#....######....###.#.#..#.####..#.####.#######.###.##.##.##..###.#..#..###.##.##..##..####..#.##.###.#..##....##.#.#..#.##..#####.##...#....#.#....#####......#......#.#.#.#..##.##...#..###...#.......##.##.##...#.#######...#.##.#.##.##..##..####..#.##....#.###..##.###.#..#.#...####..#.##.#.###.#.#.#.#.#..#....#.##.......#####.#.###.#..#..###.###...#..#.###..#.#.##.#####.######.######...#..###.##...##..##..###.#####.#.###.#...##.######.......#...#....#.#.#.#.####..##...##...######....#.####.###.#####.#.#...########..##..##.....###....#..#..##.#.....##..##.#.####.#..#.#..##.###.#..###...#...#.##....##.##.#.#.##.#####.##..#...#....#..#.#..####..#.#.#.....#.#.##.#.##.#####......#..#####......#...#.###.##.######.####.#.......###.#..####.##..###.#.#..#....#..###.#.###..#.##...#.##.###...#...#..####.##.#.#.#.#...####.#.###.##.###...#.#####....#.....#.....#.#..##.##.#....###.####.#....###..##.##.###.####.....###.#.#.#####.#.#####..#.#.###..#...#..##.#..#..###.###.#.##.....#.##..###...#.##.##.#..###.#..#.........####.######..#...###.###..#...#.#.##....##.##...#.##...####..##...##.#..##..#..###.#####.#####....#..#####.######..###.##...#.##..###
.#...#..#.##.#.#.##.#.##.#.###.#..#....##..#.########....###.###.##..#.#.#..##...###...###....#..#.###.###.....##.##...#..#..##.##.........##..#.#.#...##.##.#.#..####...###...#.#...#...#..#.##...#.#..##.##.##.##..##...#.#####..#####..#.#####.##.##....##.#......#....#.#####.#..#....#.#.#..#..#####.##.#.##.#.###.#...#...#.###.###....####.#.###.......#.##...#.#.####...#.#...#..###..#.#..##..#.#......#.#.#....###.....##.##..#..#.#...#####..##.###.##.####.##....#..#...####..##...#.##..#.##..##....#.#.#...#..##...##.##.#..#####..###.#.#...####....####.#.####.#.####..###..#..##....#.###...##..#.###.......#..##.#.......###.##...#.##..#.##.#..#......#.#.#..###.#..####.#...#...####......#.##.####.#.######.##..#..###......##.........#.##...#..#...#.#.#...##..#.#.#####.....####...###.###.#....##..##.###.#..#..##.#..#..####.#..#.####..#.##...#.#.##..#.#..#######..##.####.##.###..#.##.##.###.#.#..######.###.......#.##.###.###.####.##...##.#####.####.#...#####.##.########.####.##########.#..#.#.##..##...##.##..#.##.##..########.#..##.#..##.#..#..##...##.#.##.####..#.##.#####.#...#..###.##.##....####.###..##..#.######...#.##.#..#.##..#.#.#.##.###.#.######..###...#......#.#.###.#...#.##.#..##..##....#.###.##....####...#.....####..##...###.##.##..#..#.####.#.###..#.#.#####...##....#.##..##.#.#....####.#.#####...#..###.#.#.##.###.##.#..#...###.#.#..#.#......#.##..##...##.#.##...#.#...###....#..#####..#..#####.####.#.#...#.#...####.###..##.###.#...#######...#..#.#.#..#.##.#....#.....###....##....###.#..####.###.....#....##.###.#.#########.##.###..#..#..##.##.#######..#######....##..##.##..##....#######..#.###..#..##.#.##..#.#.#.#......##.#..###.#.###..#..#.##.#...##.###..####.##..#.#..#.#.#..#.#..###..####...#......#.##.#.##...##...#.....#.#.#.#.#..#..##..#..#.###..##.#..###....#.#..##.#.....##.##.#####...####.....#...###.#.#..##..##..#....###.#.##.####.#....#.#.#.###..###..##.#.##.###..#.#..##...#.#..##.#####.##.####....##..#..#.#..#.#.###.#..##.#...##..####......####..##....#...###..
..#..#.#..#####...#..#.#.#.#.#.##.#..#...#.###.####.#....#....#####.#.##..###.....###.#######.#.##.##.###...##.###....#..#####........##.....#...#.###.#...##.#.#.####....#..##.....#...###.#.####.#....#..#.#....##.##.##.......#.###.###....#....#.#.#..#.....#....##..#.#....##.##..###.###.#.#.##.#.....##.###..#..#.....#.#..##...#...#..####.#...###....##....######......##.#.#.##.##..#.##...#.#..##.####.#.#...#.##......##..#..#.#..##..#..######..###.#.#..##.#.#######.#..#..#.#.####...#####.#.......##....#######.....#...#.#..#....##...#.#.#.#...##..#...##.##.###.###.#...#.#...##...####.##..#.#..##..#...#.#.#..##...##.#.#.#.###..######...#.#.#.#.#..#..####.#.....##.........##.##...#...#..##..#..#....#.##.#..####.#..##.##.#...########...##.###.###..#.#.##..###.##..###.####.#.###......#.#..#.#.####.#.#..#####..#..#....#...#.###...###....#..##.####..#.#####.#.##.###.####.#...##.####.##.##..#.###.#....##.#....#...##..##.#..##.#.#######.#.#####....####..#....#.....###..###..##...###.#...#.#.#...##.######.....##.#.#..###.#.#####.....#.#..#.#.#..#.##.###.###...###.###.#.#.#.####..#.##.......#.##..##.##.#..#.#.##......##..#####....#...###...#.#.##.#....#.###.#...#.#.#.#..##...#.######.##.#.##.##..#.##..#.#.#.###.#...#..##...#.#......######....##..##...#..#...##...#.#...###.#...####..###..###.....#.##....##.#...##.###....###.##.#.#########.#..#.#######..##.###.#.#.##.##...#..#.###.#...#.##.#.....##.###.##.#.#.#..###.#.#..##.#.##.#.#.###..#.#..#..#.##.##..#...###.#.#.#....#..#####.##.#######.###.#.##...#.##.#...#.#.....#....##..#......####...#..#.#..##..#..#...#...##.#.#..####.##..#.#.####.##..#.#.###.#..#..#....#.##.###.#.....###.#...###...###.#....##..#..#..####.###..##.#.#.#..##.######..######..#.....######.####.##.##.##..######.#.##..##.##.##..#..#...######.#.#.....##.....#...#..#..##.#.##..##...#.#...#.#.##...#.#.#####..###..##....#...#...#..#...##..#..#..##...#.##.#.##.####..#...#.#..#..###.###...#.#.###..##.##...#.####.##...##..##.....#.#.....##.####..#.#..###...#..#.#.##.##.
##..##.##.#####.###.#.....#.#...####...##.#.##.....######...##..#.#.####.#...##....#.#.#####.#...#..#...###.#.######.##..#.#....######.#.#....#.###.#..#.#...#.#....#.##.#.#.#..###.....#.#..##.#.###..##.#..#.#...#.###.#..#....#.#.#.###.##....#.#...#.#...###.###.##.##..#.##.#.#..#####....##.#.###..##..#.####......####..###.#...##..####..#...#.##.#.#####...#.#...#.####...##....##.##.....##.#...#..##..###...#.#....#.#.##.##.####....#.#.##..##.###.#..#####.....#....#...#.#.#....##..#.####...##..####.########.##.....####...#.#.######...##.###.###.###.#.#...#.#..##...#.#.###.##.##...###.#...#.######..##...#..#..###..##...#.#.##..###....##.###..###.##..#.##.##.###.#....########.#......#.#.....#.###.#####.###...###..#.#....#...#######...#..#..###...##...#..####...######..###.#...#..##..##.#...##..#####.##...#.#.....##..###.#..#.##..#...##..#.....#..#.....#..##..##....#.#.#.##.....###..######....##.#.#.#..#.#...#.#..#.########..#.##.#.###.#####..#.####...#...#.#.###.###...#####.#.####....#...#..#.###.#.##..#.##.##.#.##.###..##...#.#.#......#..####.#...##.#.#.##.#.....#..##...##..#.#..#..######.#.#.#.##..##..#..#..#.###.#.#.........###.##..#..#.##..###.#.#####.#....######.###......#..##....###.####.###.##...#.###.#...####..#..##.#...#.##.##..#...#..#########...#.###.#...#..#..##..#..##...##.#...#....##.#.##.####.###.....#####.#..##.##...##..#.#....###...##....##..#.#.#.#...##....#.#.....#..####..#.#...#..#.###..#.########..#..##.####.....#..##..#..#.#.#....##..##.##.##.###.##.######.###..##...##...#..##..##..##.##.#.###....#.#.####..#...##...###.#..##..#.#.#######.#.#..#...#......#.#.#..#.#.######..#....##.#...##..###...#..#########....#..#.###.#...#.#.#..#....#.###.#####.##.###....#.###.#.#...##....#.#.#.#.#.#######......###.##.######..###.######.###.###..###.#.##.###.####..##..#####...#..#####.#.##.##..#...#.#..#.##...##.#.###.##.##.#..##.##..#.#.##.##.#...##...##..##.#...#...##.#.###....##.#.###.#####.####.#.#.#.##.##.#...#.#..#..###.##.###..######.#####...#.#.#.#.####..###
##......##.###.#####.#....#.#.....##.##.#.###.#...###.#....####.###.##.#.##.###.##.#########.#..#.#.#.#..#.#....#.###.#.#.#.###.#.....####.#.###..#..##...#.#.##.#...##..####.....#....#.####......#...##.##.###.#.##.##...##..###...#...####.#.##.#......##...#.#.....#.#..#.##.###....#..##.#.#.#.####..#..#..##....###.##..####.###....#.####....##.##....#.####.#....###.#.#...##.#####..#.#.........##..###.#...###..##.##..##.#......#.#.#.#..##.#.....##.######..####.#..#.#..##.#..####.#.#.##...#...##.###.####..#..##.##....#....#...####...#.#...#...##.#....##.#.#.....##.#...##.###....#.##..#.######.##.##.###..####...#.##.##..###.....#....##..#.##...##....###...#....#..#...##.....#.#.#..#.###.#.##.##....######.#...#..###.#..#.#.#.....#.#...#.###..#.#....#.#..#......#..##..#.....##..#..#.#.#...#..#..#......####.#.#........###.####...#....##.##.#...##.##.###.#####.##.##.#...##.#..###..#..###.#.##.##.#.###..#.##.#.#####...###.#.#.#..####.#.##.#.#.##...##..#.##....#.#.#.#...##...#.##...########..#.##.#....#.######.######.....##.##.###..####..##.#.#.#..#.###..#.#...#.#..#####..#.....###...#....###.#.#.##.##.####.#####.##.#...#####.####..##..#.#.#.#...#....##....###....###.#.##..#####.##..###..#......#.#....##...#.....#.###.#....##..#..###..#..###...####.#..#.####.##...#.#.#.#...#.....#######.##.#.....#.####.#####...#..#..##.##..#.###..##.####.##..#.######.##.######..###.#.##.#####..#.##..##.#.##..###.....###.##..##.#.##..######.#.#..#####....##..##.#.#....#####..###..####.#.##..###...#..##..#..#####.##.####.....###.#.#.##.......#..#.#...##.##.##.#########.#####....##...#.....###...###.#####.#....##.....####.##....#....##..##..#..#.#.#.##.#.#......######....#....###..####..###.#####.#...#.###..#..###..#.##.#..#.#.#.##.##..#.##..####.#..#.###.##.###..##...#....#.##..##.#..#.#..#..#..##.#.#...##.#####.#.######.#.#......##.###....#.#.........#.#.#...#.#..#####..#.##..#..#.###.#...#..###...#...##..##.#.#######..#...#.#..####...#..#.#.#.######.#.....####.######.##..........#..###.######.#
##..#.#..#..##.#.#..###..########..####.#..#....##.#.#...##..#...####.#.##..#.#.####....#...###.#########.##.#.#.##..####..##..##.###..##.##.####..#..#.#.##..#..#.####.##..#.#.....#.##...#.#.###..###..##.........#..####.###.#.###...#.#.##.##...####..#.##..##..#.###.##..####.##.##.######..##.#####.##..###.#.#.##.#.##.#..#..#.#.###..#.##...##..##..#...###.###.##.#.#..####..#.#...##.#....#######.#####..#...##..###..###...#....#..####..#..#.#.##.#.#....###.##.##...##......#.###..#.##.#.##......###...#...##..##....#########.#...######...#..##....##...#.#.....#####..#..###...###..####.#.....#.#...##...##...###..###.#.....#.......#..###...#..##..#.##.#...#.#....###....#.#.##..##.##.#.#.#.###...#.###.#..#.###..##.#.#.#.#....#..###....#.######.##.#.####........###.#...##.##...##..##.####.#.#.#.##.#....####...#..#.#####.####....###.##.#.####.#.##.#.#.##.#.####.###.###...##.#..#..##.............#....########.....##..##..##..######...##.#.......#..#....##.###.#.###.####.###.######.#.####.##.###.#.##.#..##..###.#.#.##..##.#.###.#..#...#.#..#.##..#....#.#.#..#.#.#.#.####.##..#..#.#.####.##.#...##...##...#.##.##...#.##.##..#.#.#.###.#..#.###..#..#.#......####..##.###.#.##..###....###..####.#..#.#..#.#.###.###.##.##.###.##.#..##..##.#...#.##.....#.#.##.#.#.####.##.#.#.#.#...#.#....###.#####.#.###...#..###.#.####.##..#.#...##.#.##...###.#.####.##...#..#...#.#...###.######.#.#.###.#.#....#.#.#.###.#####...#....#.#.###.##...#.#......##.#..###..##.######...#.#.#.###.#..#####..........#.#...#.#........#.##.#.#....#####.##..##.#####.....#...###.....####.###.########...##.#....#.#...#.##....#....###...#..#.##.#..#..###..#..#.....###...##.###.###.#########......#...#.###..#.###.##.#.###...#########.##..####..#..#.#.##.....##.######.#.####.##.....#..#....##.#.#.##.#.#.#....#.######..###..#.####.#####..##..##.##..#.#.#.###..#..#######.##.##..##.#.#..##..#.#.####.#...#.#####.#.##.#...###..#####...#.####.#.###.#..#..####.#.####..####....#..##.##...##..#####...##..##...#######.####.##...####..#
..##.#.##..##.#.#.##.####....##..#...##.#######.#....#....#.#..#..##.#.#..#.####...#..###.####.#..#..#.#..##.##...#.###.#...###.##...#######..###....##...#####.###.######..##.#...####.#...##.###..##.....###..#.#..##..###...#####..###....##...##.#..#.......###...#.#..###...#..#.....####.##....##.####.###....##.......##.##..#..######.##..######..#######...##.#..#####...##..#...#..##.....###..#.##.##...#..#.....#.#.####.##..#..##.##.##...#.#...####.###...##.#.##.#..#..##.........##..#.##.##..#.#....#.####...#.#.##.#....###.#.#.#.#.##...####.#.#.#...#.#.####..#####.###.##..##..#.#...#.#.#.####.##...#..#.....##....###..####..#.##...#..#####.#....#..####...#####..##..#..####.##...#...###...##..#.#.#.#.##...#...#.#..##..##..#...#.#..#.#....##.##..###..###...##...#.###.#.##.#####...###..#.######.#..#.#####...#.##...#.##.#.##.####..#.##...#..##.....#.###.#.#.#.##.#######..##.####..#####.##.#.##.#..##...##..#...#....#.#..##.#......##...#...####.#.##..#####..#######..#.#.#.#...##.#..#.###..#....##.###.#.#..#..#.##..###.#.##....##.....##.#..###.#.#.#.#..##..#####..#..#.##..####.#...#..##.####..#..###.##.##.#..##...#...#.#.###..##.#..#######..##..####.###..#....#.#.##.#.###.###.#..###.......##..#..#....#.##..#.##.###.#....##.#.###...#.#....#.#.##......##.....##.#..#.#..#.#....####..#...#...##...#..#..#..##.###.#.#.#..#.#..#.#.#####..###.#..#...##..#.##.....#.#.#.####....#..#..####...##.#..#####.###.####.###..#..#..#######.#####..#..#..###.####...##.#.#..#...#######.#.######.##..#.#####..#.##.##...#........#.#...###......##..#.###....#...###.#..#.#....##.#..##....##...#####.##.#.###..###.#.##..#.##.#..###.#..##.#..#.##...##...#.#.....######.######..##.#####.#..........#.####...#..#..#.###....####.#.....#...#.#.#...###.#.###.#.####..##...#...###.#.......#..##.##.#..#.##.#.##..#..###....#.##.#..#.#...#.###.#.#######...####.#..##.#..#.#.#..#..##.##..#.#...######.#...###.###.##..###....####.##.#.#...#..#.###.###.#.###.###.....###..#..#####.#.#.##.##.#...##...##.#.#..###.#......#...#.
#...#..#.#.#####.###.##.....####.....#....#....#.#..#..##...#.#..###.####.......#....#.#.#.######.#.###.#.####.##.###..#.......#.#..###..###.###.#..##..#.#....#...#..#..#..#...#.###.....##.#..###..####.........#.######..#.....####.#.##...#........##..#.#.##.....#..###.######..#.#...######.#...#.####.#.###.#..#.##..#.#.###...#.#.###.###..#..#..##.##..#.###.###.###.#.##.#.#...#..#.#.#######..#.....#...###.....#....#.##..######.###.##.#.#.#.#...##..#...#.###...##.#....###.##..#....####.##.#####.#.#.####.##.##...##...########.####..##......#..###...####..#...#...#####.#...###..#..###..#..###..####.####.#.#...###.####..#.#.##.....###...##.##.#..####.#..#.##...##.#.#..####.#.#...#.##..#..#....#......##...#.####.#.........#.####.#####..#.##..##......##..###.##.#....###....#.#.#.#.####..##..#..#...#.########....#..#####.#.##..####...####.##..##.#..###.#......#....#...##...##.#..#.#..#.####.####.##.###.#....#.......##..#.##..#.....##.####.#.###.#.##.##...####.####.##..###..#.#.##.#.##...######..#.......#...###...###.##.###.#...##...##....#....#.#..###.#.....#...###...#....#####.#.#...#.##.##..#.#...#.####.#..###.#..#.######.##.#.....#####.##......####.....#.#.#..#.........#.#......##.##..#.#..#..#.###.#.###......#.....##.##.####...#.#######..##..###...#.#.#.#.#.#.##....####.......#.....#.#..##.#...###...##...##...##..#...##.#.###.#..###.#..#.#.####.#.#......#.####..#.#.#####.#.#.#.###..#.##...##.##.#..#...##...#...###.#....#.##.#..#####...#.#.#.#..###.#.#........#.##........#..#.##.##.#.#...#######.#.##.#.#..#.#..##.###..####.#######.#.#.#....##..#...#.##.#..##.##.######.#....#..#....##....#.#..#....#.#.#....###.###.#.#...#.########.#.###.#.##..#.#.##..#.##..#......#..##.#..#..###.#...###..####.#.###....#.###....##..#..#..##...#..##.####...#####.##.######..##.#.#.#..#####.##......####.###.##.#.#.#..#..#.....###.##.##.#.#..#.#.###..#...#.###..##...#.#...##..#.#.###...###...#..#.###.#####...#.#..#......#.#....#.....##.#..#.#.......#...#..###.#.#.#..#....####..#.#.#.#...##...##
..##.#..##...#.##.##.######....#####..#....##.#.#..#.....##.......#..###..#.#...#...###..###.#.#..#.#####.#.#....###########..##...#.#..#...#.#...###.#..#.#.#...#...#..#..####...#..#....#.#...##...###....##..####...#####..###.##.#......#####..#.#......#.#...#.##.#.#.#..#..#...##..#...#....#..###..#.#.###.#####.#...##..#.##..###.#.#.#.##...#.#.##.#....#.#..#..#.....#.#....#.####...####.###..#...#.##.#.##.##.#.######...#.##..##.####.........##.#....##...##.#...#.###.......##..#.#...#####.#.##.###..##...##..###.#.##...#..##.#.......#.#.#.###.##..##...#.#.#.#.##.....#.###.###.###...#.......####..###.....#.####.##.##..#.######.##.####.....##..#......#.#.#..#.#.#.##..#.##..##.##.##....#.###.##.###..###....#.##..#.##.#.####.#........##.#..##.##..#..#.#......##...#..#......#.#.###.#.#..##.#.##.#.....##..###.##...#.#####.#.###..###.#...#..##....#..#...#.#..##.###....###.#....##...#..##.#######.##..#.#..#.###.#.###.........#.###.######.#..##.#.###..#..#.########.###.#########....#.###..#...###..#...###.#.##.######..##..######.##....##.##.##.#.##.###.#...#..#.#....#####.#.##...#....##..#.###..#..##....####.#.##.#.######.#.##..##...#..####..#.##.#...#.#...#...####.#..#.#.#.###.####..#.##....###..##..#.##..####..##..#..##...##..#...#..##.###..###.#.#.###..#.###.#.####.#.##..#....###.....###.###..#..###..###.#.....#....#.###...###..#...#####.#.#..##.#.#####...##....#.#.#.#.#.###..#.##..##..###....##..######.####..####.##..#..#.#..#.##.####..#.#...#...#..#.....####...##.#....##..#.####..#.....#.####.####.###.##.....#....#....#.#..##..#..#.#...######.#.#.....######.####...#..#..#.#.#......##...#.#.#.##....#.###.....#.####....##..#.#######.#.#########.###.#.#.##.......#####..#.#####....#.......##.#.###..#.#..##.##.##.#.###.###...##..#####..#...#....##.##.##..#.....#.....##.#.#...#.####......###.#...#.#####.##..#.#..#..####..#....###.#.####.##..#.#.###....#.....###..#.#.#..##..#.#..#....##....#....#......##.#.###..#.#..####..########...#.###.....#####....##.#.##......#.##..#.#..#..#.
.#.##.###......####.#....#...........####..####.###.#..#####.##.#..#..####...#..#....#.#..#......##.###.##..###.#.#....###...###......##....###.####.#.##.##.#.#.#....#.#.##...##.#....####.##.#.##....#####.#.#.....##.#.###...##...##.#.....#.##.#.#.###.#####....##..#.#.#..##.##...##.#.#.#...#...####.###..####.##..##..#..###.#.#..#####.....##..#..##.###.#..##....#....#.#....###.#.#...###.###.#.#...###.#.##.....##.##...####...#..####.#...#.#.##..##.....##.##.#.##.##..#..#.##.#...#.#.#.#.###..####....##.##.##.###..#.###..#####.###.#.#...##..####.#....##.###.##...##....#.##..##..##..##......######..#...#######.#...####.##.#######.#..#.#####.##.##.#..#..####....####..###.###...#..#.....#.###...##.##.#..##..##.#.##...####.#.#...#.###.##.###..#..#....###.###..#..##...##..####.#.##.###.#.#..##.....##.....##......#.....#.####.#......#...#..#..##.##.###.#.###.##.#...##.#.#.######.##.#..#..##.#..#...#.....#.#.###.#.##..######..##...#..#.###.#.#..#####.##.#....#....###....##.######..#.#..####..####..###.#..######.#.#####.##.#..##......##...##.......##.#..##..##..##.#......##.###..#....###.####......#..###....###.##.##.....#####.#.#.##..#####......###.#.#.#.##...####.##..#.####.#.#..#.#....#..##.####..#...####.##....#.###..#..###...##.#..##.#..####.#.....#.#....####.#.#....#..#.#.##...#.###.#..##.#..###.##.###.###...#..####.###..####..###.##.######.####..#..####..#.#######...#..###.#.###.####.#..#.#.####.#..#.....#....##..#...##...#.##.#.#.##...#####.....###.#.##..##.###.#.###.#####.#...#.#..#.##..##.#..#...###..##..##.#.##..#.#.#.##.##..##.#.#.####..###.##..#######...#...#..#...#.##...###.....#.#.#..##....#.#...#.#..#..#..#####.#..#.##.#.....##..#.#.#.####.#..#.......#..##.#.#..###.#.###.##....#.#.#..########.##.#..###...###...#.###.##...#..#..#..#.###.#..#.....#...######..#..#...#.....###....##..#.##..#.#.###...####.##..####..#..##..#....##.##....###..####....##..#.#.#.#....####....#....#...#..####..###.#.#.#.#..##..#..###...#.###......#####.#...#..#.##..#.#.###..#.#.#..####...#
###.....####.#.##.#....#.#..####...#..#..#..#.#..###.#..##...##....#...#.....##....####......####.##..##...#.###.#.#.#..#..#####...#.##...#####...###.#..#...####....###.#.#..#.##...##..####...#.#..#.####.#.#.####..#.#..#...###.###.##..#........##.....##.#..####.#..#.#...#####.#.#.####.##.....#.#.##..#.##.#.###.#.#....#.#...#.#.#..##.###..###..###..#####.#.####..#...####..#...###.#.##.##..####....#.#.##.#..###.#.###..#.#..##.#########..##.#.#.#..#.###....#####.....#.######..#.#####.##.....######.#..##.#.#.#####.##.##.#.#.....##...####....###.....######.##.....#...##....#...##..###..#........#.#......####...#..###....#...#.#.#..#.###...##.#.#####....#.#.#..#..#####..##.#..###.#..###.##.#......#..###.##..#...#.###.#.#.##.#.#.##..#..#.####..#.#.####..#..##..#..#.###..#.#.####...##.###..#..###.#.#.....#.#.#.#.##.##.##.#.#..###...######......#..#.#..#####.......#.#.#....#.#.##.#..##.##.##..#.##.#..######..##.############.#..#.#.#...##.#...#....##..#.###..#......##########.#......#..######.#.#.####..#.####.##########..#.#.##.#####.#.#.###.##....###.###....#.#########.#####.#####.####.#.###..#..#...#.###....###.##.#########.##....##....#.#..#..#.##..#.......#..#...#######.###.#...#...##....#..##..#..###..#.##.####.###.###.####.####...##.####.#..###.#...####...######.#....#.#..#.#.#####....##..#..###.#.##....##.###......###....##.##.#.###.##.....#.#######..#..#.##...#...#.#..##.#.###.#.###.##..#..#..#.#..####.#........#.#.#.##...#.........#..#.#....#.....#...#.##.#.#..#.#.###.....#.#..##..####.#####..#.#.#...##..#.#####.....##.#.#.#.#.##.##.#.##..#.##..#.#..#.#.#.###....###.##.##....#...#...#..#....###............####.###...#.###.##.##......#.#...#.##.#.##.#.#.#.####.#...##.##....####..###.##..#..#.##..#....###..####.#.#...##.#..##..##.##...###.##.....#.##...##.....#...#....#..########.#.#.##...##......###.#.###..#...##..#..##.###..##.#...#######.....#...###..##..#.#.#..#.#....#.#.#..#......#.#####.##.#.....#.##....#.#..#......####..#......######.#.####.##.#..##....###....##
#..#.#.##.##..##.....#.##..#.##.....#..#...###..#.##..#....###.#.#.#.##.#.####..##.##.###...###.#..####.#.##.####.#.....########..#.#.###.####..#.#.....#....#..##.###.#.##.#..###..#.#.###.##..#..######.###..#...##..##.#..#..##..##....#####..#.#..#.###..####..#...#.#....#.###..##..#.######..#..####...###...###.####.######.#..##..#.##..#.#..#.#.##.###...##.####.#.....#########.########.##.#.#.#.#....#.##.#####.#.#....##..##.##..#..#....##.#...##.#.##...#..#..###..##..###.....###....##.####.####..#...#.########....##....###.....#....#..##....##.#..#.#.#.#.########..#.#....###.###..##...#.###.##..###...###.##...#.#..##.#.#..#..#..#.###...##..###..###..#.......###..#..##...#.##..###....##..##.#######.#.##..#....##.##.##..#.#.#.#####.##..####..##......#########....#....#.#.#.#....####..#..#.#.#.#.#.....#.#...#..#.#.#..##..###..#..#..###.#..#.###........##.##....#...#.#.##..##....#..####...#..##..##....###.#....#.#..#.#...###...#.#.####...##.#.#.##.#####......###.##...######...###.#.#.###.#.....###.##.####..###.######..#..#...#..###.#...###...#.#####.###...#.##...#####.#.###########....#.#.###.###..#..##.###.#..#.#...##..#.###.#..##.##.####...####..##....###.#####..#.#.#.#.###..#.......##....#....#.#.##.....##...#.#...##.####.....####....##....######.#...#.#.#.#.##.#.##.#.#..#...#####.#.###..##.#.#.#..#.##..##.#.###.......###...#.##...###..#..##.##...#...#.#..##.##...#..#.#.#.#..##..#..#.....###.####....#.#.#.#.#........#.##.##.....#.#.#..#.......#.##.....##########...##.##.###.##....#.#..#.#....#..#####..###..##.######.##.....###...#.....#..####.#.##.....##..#..#...##.....####..#####..##.#.###...#...##..#.###...#.#.##.#..##...#.###.##..##.....#.##.###.#...#.....#.#...####.#.#.###.#.#.####...##.##.#.##...##.#..#######.#.#..##.........#...##...####.#..##.##.###.#..#.####...##.#..#..####.######.########..##.#.#.###.#.#.#######.##.#..###.###..#....#.#########......##.#.###.##.##.....##..#.#.#..##.##..##..#....#..#..#..#....#.#..#..###.#.####.###....##.#.##...###..#..#.#.#.##.
...##.####..#.#...##...#..#..#..#.##.#...#......##....##..#.####.##....#.######.#.##...#....#...#.##..#.###..#.#.#...#.###..#.#.##..###.##.#.#......#.....##.#.#####.#..#.#.....#.##...#...##.#.#...###.#...#.....##.......#..##.#..#...##...#######...####.#..########..##.....#..#.#.##..#....##.##...###.####...#####...##.#.##......####..#.###...######...##.#..##...#.##.#...##..##.##.......#...##..#.....##.####......####.#..###.###...#..#.##....#..#....#..##...##.####...#...#.#.##..#.##...##..#....#.####.##..#####.....##.##.#...#######.#.##.###...###.###.#.#.....#...#..#.#.##...###...##.##....#...#.#.###.#.#.#.###.###...#.#....###.#..#.#.#.##.#.#..#.#.##.##..##..#.#.##...##.#...####.#..#....#.#.#..#...#...#..###..####.##.......#....#.##.##....#....#...#..#.##..#.######.#....###...##.####.....#......###....#.#####...###...#...#.#.#..##.###.#.#...#..####.#.##..##..#.#...#.#....#.....###......#.####....##.#..##.#.###...#..####..##.....####...#..##...#.#....#.#.##.#..#....#####.#..###..##.....###..####..#.#########..##.#####.###.#....#.##.###.###.##.#####...#..##..##..##..####.##.##..#........#...##..#.##.###.#..###...#..#########..#....#..##.#.###.###.##.###...##.#....##..##..#.##.#...#.#.#.##.....##..#....##...##...#....#######.##..#..#.###.#..##..#.#.##......##..##..#.##..##..###.#.#.#.#...#.#...#.#...#.....##..##..##....#.###....#...###..###..###.##.#..##.##..#..#..#..##..##..#...###.#.#..#...#.#..###.##.#...#.#......#..###.#....#.#.##....###.#..##.###..##.##..##.#.####.##...###.###.##.##..#####.#.....#...###....##..###..#....#..##...####.....#.#..#..#####..##..#...##.#####.#..#......#..#.###...#.####.#...#.#..####.##......##.#.....#......#....#.##.##..#..#.###.#.#.#.#.##.####.#.#...#..###..####.##..##...#..#....#.##.#..#.##.....####...#...#...#.##..##.#.#.##....#######.####..####.##.#...#.#..###.#.##.##.####.#..#.###..####..#..####...#....##.#####..#.....#..##.#.#.##..##..##..#.###..#.##.#....##.##..####..##..##.#.#..####..###.#..#..#####...##...######.......#.########..
....#..#####..#..#..#######...##.######....##.#..####.#.###..##......#######.####.##...#..#..#..#.#..#.##...##.###...####..#.#####...##.#.##.#.##..##.#.#..###...#..##....#...##..#...#..#..##..####.#.##..####.#.....#....#..##....##.#.##..#.##.###.#.#.##...#.###...#.#.#.#.#....##....###.##.####..#..#.#...###....##..####.###..######...###...#.##....#..######.###.##.###..#####.#.##..##.#.#..####..##..###..##...#.#####..#######.##..########.####.###..#..######...###..##.###.#....###.........##...#......##.#.##...#..#####..##...########..#..###.#.#...##.#.#..##.#.#..###.#........#.####.##.#.#.#......####.#....#..#.####.#..#.#..###..#..##.#.##.#....#..###.##.......#.##..##.##....##.####..#.#...##.###..##......####...#..####....########.#..####.###.##.##..###.#.#..##.##.#...####.#..#..#..###......##.#.#######.###.#####.#..#..#.#........#.##.######...##.#...##.#####.#.#...#.##.#..##.###..##...###..####.##.#..#....####..##......##...##..#.#..#.#...#..#.#.#.....###...##..#.###.....#.....##...###.##..#...#.##.#####...#..#..#.....##.#..#######..#...#.#.#..##..#.#.##..###..#..#.##..##.#.##.##.#..###...#....#....##......#.##.###.#..#######.#.###...####.#.#.##....#.#######...######....#...##.#.##.#.#.###..##...##.#..##..##########..##..##..#..##...###.##..#..#.#.#..####...#..#..#...#..#..#.#.###.###.#..##..#..######..#.#.####..#..##..###..##.##.####.#.#..##.#..##..#...#####.###.###..####.....#..#.......#.#.###....#..##...##.##.#.###.#....#..#.#.##..#.#....####....##.###..#####..#..###...#...##......#..###..#.#.##..#..##....#.###.##.##.#....#..###.#..##.#....######.#.#....#.#..#..#..#.#....##.##.#.#..#..##.####.##.#.#.#...#....#.#.######.#.#.###..#..#.##.#....##.###.#.#.#..##.##.#####...######.##.######...##..#..##....#.#..#.#..##..#.###..##..#...#.#.##..###..#..##..#..#.#.###..##.#..#..#...#..#...###.#####.##......##..###.#.##.##...#.##..###...#####.#.##.##.....#..#.##.###...#.#.....#...#.#.###.###..##....#..#.#.#####.#....##.....#.###....####.##.#...#.####..#...#.##..###.##..#..##
.###.#.###..#..#...#.#.#...##.#..##.....####...#...#..#.##...##.##..###......#.###..#..#.#.#...#########.##.#....###.##.#.#...#.#.##.#.#..#.##.####.#.####...#...#..#.#......#..##.##..##..#.#...#.......##..#.####.#.###.##..#....##.##.###.##.####.###....##.....#.#.#..#..##.#.####.#..####...####...#....#.##...#..##.....#######..##.##.#.##..#..##.####.###....##.#.#.##.#.#.####.####..####.#.#.####.#.##..##.##......#..#.#..##......###..##..#.......#..#.#...##..#..#.#.#####...#.#...#..#..##...##..#....#.#...#..#.#..###.....###....###....#.##.#....#....###.##..##...#.#...#.#.##.#.#....##.###..###.#.#.#.####.#..#.#..#.#..#......#.#.#....##..##.....#........##.#######..#.#..#.##.#.#......#.###.#..##...###.#..#.####...#.#.##.....#..##.....######.##...###.#.#..#.##......#...........#...##..##.#.#.....#####.##.#.#.###..##........##..#.###...###.#....#....###....##...##.##.#.#....##.#.#.#.###.#.#.#....#.....###.#...#.......##.#......###..#.#.####.#......#.#######.#.#...#....##.###.##.###.#######.###.#..####.###...####.#..####.#...######.#..#..#.#..##.##.#..##.##.#..##.#..#....##....#..#..#.##....##.###...###.#.#......#.###.#.#.#..#.#.###..##..###.####.....#.#...##.###.....#....#..#....#.#####.##.#..##.....####.#.#..##.#..#..#.##..###...######.#.#....#........###.###..###.##..#..##.#.#..##.#...#####.###..#...####.#....#...##.#...#.###.####.#.##..#.....#.#####..###.#..##..##....#.#.##...#.####..###.#..#..##.##.##.##..#.##..##....###...#....#.#.##..#.#..###.....#.#.#.#.####.....###.####.#.#..##..#...##.....#..##.###....###.##.#..##.#.##.#.###.#.####.##.....#.###.......###.#.#.##.#..##...##.#.##..#....#.######..#......#.#..##.##.##.##.....#.#.....###.####.###.#..#.#.#..###...####..##...##.#.#..####.##.....###..###...###..#..#.#....##..#####..###.#...####..#####.##.....##..####.##.##.##..##..#....#.###.##.##..#.#.#####.#.#..###..#.#.###..##..#.#.##.##.....#.#.###....##.###........#..#.##..#.##.#.###.###....#....#..#.####...#.#####..#.##.#.#...##.#####...#####.#..#..##....#.#.###..#...
.##.#.#...#####....#...#...##...##.#..###.##.#..####..###.....##..####......##..#.#..#.#..#...##..#..###.####..#.##..##.#.#.##.....##..#.#..##.######....##.##.#..#.##.#..#########...#.#..##..####.##....##.##...###...#..###.######..#.#..##.....##..##.....###.####....#....##..###....#.##..#.##..#####..##......###.#.#..#..#...#..##..###.#..#.##......#.........#######.##.#.#.###..##..#.####...#......######...##........###...#.##...###.##..####...###..##.#..#######..#.##....###.#.###..##..#.#.#.#...#.#..#.....######..#.####.#####....##..#..#.###.##.####.#.##.#..#.##.#####.#.#.#........####.#..##.##..#...#..#.##.#..###.#.#...#.........#...#.###.#.###.#.#....#.#.##########.#.##..####.##.##...#...#.##...#....#.#.#.##..######..##....#.#...#..##.#.##.#..##.#....##..#..#..###.#..##..#...#####..#.##.####.#.##..##.##..##..#..##..###.##..##.###...#...#.##..#.....##..##...#.##..#.##.#..####.#..#######.##..#.###..##...####...##.#.#..#.##.###.#.##...##.#.#..#.#...#...##.#####.#..#..#...#...#..#..#.#.####.#.#####.#....#...#.#.#.#.....#..##....###..#####..#..###.#.##....#..#....#..#......#.#...#........##..#.#.#.#..#....#.##.##.##.#...#.#....##.#..####.#...#.#...#.##.##.....#.#.#.#.##..#.#.#.####.##.####......####..##...##....#..#..#.####.##..#....#.####....#......##.#....#.......##..###..#.#..###.##.#...##...#.##.#.#..#.#..#.#.####.#.###.#....#.#.###.######.##.###.###..##.####.#.##..####..#..##...#.######.##.##.#..###.#.#....#...#..##..#.###.#.....#..####.##.#..##...#.#.#.##.##.#.###.....#.##...#.##.#....#.#....##..#.#.#..####..##....###.......###.#.#.###...#.##.#..####.##...#.####.###.##.##..#.###.#.#.#.###.#....##....###..#.#..#.#...###.###...#####...##.###.........#..##....#..##..#.##..##.#.#...#....##.#..#.##.###.#.##..###.......#..#.###.##.#.###...###...####...##.#.#..#..##.#.#####...##..#####...##..##.##.#####.########.#..####..#...#.#..###...#..##.#.##..#...###..###.##.#######.#..#.......#.....#..##.#..#...#..#...###..##..##..#.##.....####.#...#.#.###...#.#...#.....#.#..#.####
#..##.#.#....##.#..###..##.##.#.#.##..#.#.######.##.##.###.###.###.######..#.##..###...##.#..#.###.#.#.##...#...####..##..#.###..##.##..#.#..###..##.###.#.#####..#.###..##.##.##.##.#.##..###..#...#....##.###.##..#.##..##..#........#####...##..#.#.#######..##..##.#.##.#..#...###.....#...##.####...#.##..#..#..####...###..#.#....#.#..#.##.......#....#......#..#...#.....#.##...##....#.#..#####...#...###.###.##......#...##..##..##.#.#.##..#.#..#...###.#.##.......##.#.#.##.....##.....#..#####..#....##..###..#..#.####..####.....###..#..#.###...#####..#........##..##.....#..#....#......##..#..##...##..#.##.##..#.#..###..#...#..##..#..#...#......#...###.###.#####.#..#..#....##..#..#######....###...#..#..#....##.####..##....#..#.#...##.#.#..#..#####..##..#.######.#.#.####....###.##.#.#######..#.##..###.##......#.####..##.####....#.##...#.#.##..##..#.#..#...###.#..##.#..#.#.#.##...##...####.#######.....##..######...###.###.#.#..#.##.##.##...######.#....####.....#.###.##.##.##.####.##.#..#######.##.#.#.....##.###.....###..#..##.##....#...#.##.##.#.#.#.#.####....####.#.....#....#######..#.####.#.....#..#..##.#.####..#...#.#....##...####.##..#..#..#......##.###..#..###.#.#.#.......##.#.#.##.##.##.###..#.#...#.#.##.#.######.#..##.#..####..#.#.#...####.#.#.....#..........###.#.#..###..#..#...###..#.#.####.##...###.###.###.....#.##.###.##..#...###.###.###.#.###.#...###.#...####...##.##.#.#.#.###....#...#.....#.##..#.#####..#..##.##.###..#.#..#.##..#.####.##..#####...##.#.##.#...#.##..###..#####.#...#.#.###.#.#.#..##.#..#.###.#..####.......##.#....#####.#....#..#..#.###.#.#...#..####..##..#....#...#..#..#.##.#.#..#....#####.##.##.###..###.###.#..#.##.#.######..#.#.##.#.#...##...#...##....##.#.......#..##.########..#...#.##.##.#####.#.####..#..##..###.##..#.##.##..#.#..#.#.####..##.##.###.##...#...##...###..#...#####..#####.##..#....#.#..#.#.###....###..####.#.#.##...##...##.#..#.##.#.####.###........#..###.#.##.##.####..###....##.###.#.##....#.#.##..##....##.######.###....##..##..##.
#.###...###.#..###.#..#####.#.#####.#.#.#.#.###..#..#...##.##.##.#.#.####..#.#...##.#.#..##...####.##..#.######.###.#.##..#.#####...##..#.#..#....##..##...#..##########.#####.#.###....#####..##.#####.#.####..#..###.#.#..#.##########....###..###...###.##.#.##.##..##..#...##.##.#.##..####.#.#.#..#..#....##.#.#.##.#....#########...#.####.#.....#.#.##..##.#..###.#...###.####.##.#....###..#######..#..###.##..#.##.#..#..###.#..##...###.#.#..###.#..#.##.###..##.##....#.####.#.#.#.####..####..##.#.#####.....#.###..#.##..#..##...#..##....####....########..#.#....#...#..###.#.##..#..##..##..#...#.#.####.#.###.#.#...#.#.#..########.#.##.##.##..#..#.#..#..#..#..###...##.#.#...##....###.#.#..#.###...#..#..##..###.#..####.###.######.##...##...#...#.####.####..##.##...###.####..##.#.#.##...##..#..#.##....#..##.....#.#..##..##....#####.#.#...##..#..##.#...##..#####....##.....###....##.###.#.#...#...#...##...##...#...##.##.#..##.##..#..#..#..####....#.#.#####.#.#.##..#####.....#...##.##..#...###.########..#...##.####..#.#.##.###.#.##..#....#...###.##..##...#.##.#.#...##..####...#.#..#.###.....###.##.###.#..#.####.##.#...#.###.####.#.#..##..#...#.###...#....##....#.....##..#....##..###...#####..#....#..#.##..#..##.##..#.....#...#...#..#.###.#.......#.......##.###..#...##.####.##.#.#.##.###..###...##.##.#.#...##.###...#..#..#.##.......#.###.#...#..#.#....###..#.#...###..#.##.#.###..#...#....#..##...########.#.#...#..####.###.#.#..##..###..##.###......#..#.###..##...###.#..##.....####.#..##..#########.......#..#.#..#..#.###.#.##.#.######.##.##...###...#....##.########..#.....##.#...##..#.#.#.##.##..#...#....##..#.#...#.####...#.###.#.....##.....##...##...#.#..###...#.###.##..###.###.#.####.#..#.#...######.#.#.#..#.#..#.######.#.##..##.#.#.#.#.#.###..##.#.#..###.#####.###...##.##...#.#.###.#.##...#..#######....#.#.....#.#.....#####.#.#...##......#....####.##....#...##......#..###....#.#.####.##.#..#.####..###.##..####......###...####.#...#..#...#..#######.##..#.#.##.#...##...#.##.##.##.
.##...###.#..#..#....##....#...#...#.##.##.....#.#..#...#..###..##.......#............##....#.#...########.##.#...#.#..#.#.###.#.#.#...##....#..###.#######.#......#...#.##.....#.##..##.#.#...#.#..#..#....#.#.##.###....###.#.#...##.#.####.....##.######.#..#.###..####...##....#..#...########.##....##...####.......#.#.#.#..###.###.#......##..#.........#.##..###.#.#.##....#.##.##...#.####.###.#####.##.####.##..#.#####...##.....#..##.#......##.##...#....#.##..#...#....#....#.#.######..#.###.#...#.#.##..#..##.#.#####.#.##..#.....#.##.#.##.....#....###.##.#.#.###......#..#..#..##..#..#.#.##...#.####.##..###.##....#####.#..###.#..##.#..#..#.##..##.######.##..#.###.##..#..#..####..####...#..#.##.####.##.#.##.###..#.#..####...####.#..##.#.##..##.#...####.##..#....##.####.#.##..###.#...##.#.#..#.....#.#..###...#.###..##.##.#....##.#####..#.##.#.##..##.##..####.#.###........#######.#..##...#.#..#.###.#...#........#.#..#####..##.#.##..#.#..##...####.###......#.#####....##......#.##...#.....##......##...#..##...#...####.#.#...##.#.#..#####.###.#.#...#.....#.###.###....#####..##.###..#.#..#..#####..#..#...####..###..#.#...##.##.######..####.##.#####..#.###...#...#...###.###.##..###....#....#.###.##....#.###.##.#.###...#...##..############.#.#.#.....##.....#...###.#####....#...###.##.#.###.#..#.###.#.###.#.#..#.##.###.###....#.#.####.#.######..###.####...#.###.#..#.##..#...##.###..##..#.#####.###.####...##.#.###...##...####.####...#..######.#.#.###...#.#.#.##..####.##.###.###.#.##.##..##.#.#.....#####.##.##.#..###.#...#....##.#..#.#.###..####.##.#.#.###...#..##.##.####.#..###....#.#.#......##..#.##.#..##..###......#.....##.#...#..##...##..#.##.##.#...#...#...###.#.#.#...###.#.....###.#.###.#.#.#..#.###..#.####.###.#..#....######.#.#..#...###.#....###.#...#.#......#.#..###.#.#...###.##.#.#.#####.##..##.#..#.##...#.##.#.#......#...##.#.#.###....#.#.......#.###.#####..######..#....#.....#..#..#....##.####.###.#.###...#..####...#########.##.###.#..#..#.#..##....#..##.##.....##.##.#....
.#.#..###....#.##.#######.###.####..#####.##.#.#.##.#.#..###.....#.....#...##....#.####.##.##.##..#.##.#.#.###..#..##.......#.##.##.#...##...#..##...######..#.###..#....##..#..##...######..#..#...#.#.#..#..###.#.#.##.##.#.#..##..#.##.##...#.##...##..#.##.#....#.###...###..##..##..##.....#...####.##.#..##...##.##.#..##.#.#..#.####.##.##.##..#.###.##....###.#...#.#..#.##.##.###.#.#...#...#..###...#..#.####..#.##.#..#.#.#..#####.##.#.....#..####...#........#.....##..##.#......#.#####..##.#.##..#...####.#####.######.#...###.####...###.##.#.####.###.#..##..##.#...#.##..##..##.##..##..#.####.#..###...###.#.#.####.#..##.#..##..#.#..#.#.#.#.#.##.##...#.#..#...###.###..#.#.#..##..########..#...##..##.##.#...#.#.....#...##..##.......#.......#...#...#..##..#.....#.##.##.....#....#..##..##.#....#####.#.##.######.####.##..#...##..####.#...##...##.#.#..##########.#...##.####.#.#....#.#.###...###.##....###..##.#####.##..##.#.##..####.###......##...#########.##..#.#.#..#.##.#.#...####..#.#......#..###.#.#.########....#.#.#..##..###..#.######..#..###.##.#....#.#........#.#.#.#.#....##..#.####....#.#..####..#.###.####..#..#.###.##..#.#.#.###.##..##..#.#.#.#..####......##..#...##...#.#.#.#...#........#.#....#.##..#....#...#.##...#.##.#.###.##.##...####..##..###.#.#.##...#........#######..#.....###..#...##...#..##..###.#....###.####......#.......#..###..###....###.#...#...##....##.##.#.##.####.#.#####.###.#.#..######......##.##.#.#...#..###..##.#.#######.##......###.##.##...##..#.#.###.#####.#..##.####..#.###.#####..###.#....#.#.#..##..##...#..##.#..#.##.#.##....#.#####.#...#.####.##..#...##...####.####.#..####..#.#...#..#.#.##....######.####....#####.##..####..#####.#..##....##....###.#.##.....#.##...#..#..####.##......####....#..#.....#.#..#..###...###....#....#...##.#..#.#....###.....##.##.#..##..##..####...#.###.......##.#..#...#.####.#..###......####.#.....##.#.#.....#.#..##.#..##..#.#.#....#...####.####..#.####.####....##..##.#..###.##...#.###.###..#....#####.##..##..#...##.#..#.
.###..#####.#.##..#......#.#...##.##...#..#...#.#..####..#.#####.##....#..#.##..##..#.....##..##..#.....###...#.#..##.###..##..#..####........#..#########..#..#.#...#######...##...#.##..####..##.###.......#.#..#.#...####...#.....#.###.##..#..###..#....#...####.#.....#.........#.#...#..#.#.#....#..##...#####..###.#..####...##...##.#...##.#.#...#.###.##.#..#.##.##.#.....####.##.#####...#..#....#.#.#..#..#.#.#.###.##.......##......#.#...#..###..###..#####.###....#.#..##..#.#.##.#.##.######..##....#...##..##.#.#.##..###...##....##.###.#..####.#.#.##.#...########.####..##..#.#..#.######..#....###.#....#.##..#.###.##.#.#.##..##.#..###.###.#...###.##########.#..#..##.##...#.##...#..#.##..####.#.#..###.##...##......###..#.#.#...##.........#...##...#..#####.########.#.##.###.#.#####.#.#.###.###.#.#...##.........##...#....##.#....#.##.#.#.####.#.###...##.....###....#.####..#.#.#...#.#.##..##....#####.#.####.###.#.....#.#....##...#.###......##.##....#.###...##.#...###.##....###..##...#.##..##.##.####...#.###.########..##.#..###.##...#.######...#.###...####...#.##..#.#.###.#######....#.#.#..##...##...#####.##.###.#.#...#..###..##.###.###.##....###.####.##...#.##.#.#...#..#.#####.##..#..#...#....###..#..#########...#.##.#.#.....####.######.#..####.####..#####.##.######...#.########..##.#.###.....#.#..##...#######..#######.##.##..###.#....#.....#.#.#..#.#.##.....###.#..##..#####.########..##.##..#...####.###.##.......#..##.....##.#.#.#..#.##..#.##..##..#....#####..###.#########.#.#.#..#.#..........#.##.###.####...####.###.#....##..#.##.##.....####...##.###.##.#.#...#.###.#.#.#..##.#####..#...#.##.##.##..#.##.####.#.##...#.##..#.#..#.....#####.#...#####..#......#..#.#...#.#..####.####.#.######...#..##.###.##.#.#.##..#.###..##.#...####..##..#.##..######.#####.#.#####..#..####....##.#.#....##.###.#.##.##.#.##......#....##.#..##.#.###..#####.#...##.###..#.#.##.#.#.#..##........#####.#.#..##.##...#...##.#..##....#..#.#....##..###....#.#.##..##.####..#..#####....##..###..####..#.#.#.#.
##..##.##..#..####.#..#..##.##.##.##..##.#..##.#.###.########...##....####..#..#....#####...##.#.##....#..#.#......##.##......#..#######.........#.....#####...##..#...#.#.##.#.#..####...####.#.#..#.#...#..##..#####..####....###.#.###..#.....##...#.###.###.#.#.#.##..#....##.##.#..#...#...##.#.#.#..#.####.###..##.##.####......#.##.######.####..#.####..###..##.###.#.#..##.#.#.....##..###.#.#.##...####..##...###.##...#...##..#.####...##....#.##.#.###....#...##.#.#.####.#.#.##..#..#...#.#..#..####..#..#..##.##.#.##.#.#..##.##.#.#..#...##.##..#.##.#.####...####...####..#.##.###.#...##.#..##......#.##.#.##....##.#..###..####.#...#.#..#..#..#.###...##.#..#.#.#..#.#.#..#....###.##.####..##.......##.#..#.....#.#..#.#..#..#.#.#.....###.##..#.#..#.##..####.#....#..##..##.###...##..###.#.###.#...####.#..###..#..#..#.#..###....##.##..##.##.##.#...#..####.......#.#.###....##.#..#..#.#######.#.##.....##...#.##..#.#.#...#.#.######.###.##..#.#..#....#.#....#####..##.#.#..##.....##.#.#.#...#.#####...####.#...##.#..###...##.#...#####..#...####.##..##..#...##..#..#########...###....###..##.##.#..####.#.#.####.###.#...##.#...#...#.#.#.#..##..###.#.#....#.###..#...##.....#.#..##..##.##.#....####.#.#.##..#.##.#...#...#..######.#..#.##.#..#.#.#..#####.#.#..########.#..#.#.#.#..#.#.##......##..####..#.#...#...#.#...#..#...###..##......#..#..#.###.#.###..#...###..#.#.##.###...##..##.#.##..#....#.....##..#.##..#...#.##.###....#....#.#.####..####.###..........####...#.#.#.....##.#.###...###.#.##..####..##...#...##....###..#.###.####.#..#.#.#..###.####.#.######......#.##..#....#####..####.###..#...#..#.#####..#.###.#....##.#...#..##.##..##........#.##....##...##.#.##.#######.#.####.#...##.##.#...#.###..#....##.#......##..#.##.#..#..#..#####..#.##.....#..##.#.#.#.........#.#.#...##...#.#.....##...###.#####.###.###...####...###..##.....#..#.####..###.####.#.##.##....#.######...#.#....######...#.#.##.#..##.##..####.....#..###.###..#.###.#.##.#.#.##..###..##.#.###...#.#.#..#.##.....#.#.####.##...##.
..###.##......###.##.#.###.#..###.#..#....#......##.#####..#.###.####.#.#....#..###..##.#.####..#.##..#.#..##..######.#..#..#...#.#..#####.#...##..##.##.###..###.....#.##.##....#..#..#######..#.#...#..##....##.#..##...#.####..#..#..###..##.###......#..#.#..######.##...#####.#.#.#.#......###..#......####..###..#.##...#.#..#.#...###.####.#....#####...#.#####.#..##.##.###.#.....#.#.............#....#..##..#..####...##...#.#...#..###.##.#..#.##.##..#####...####..#..#.#.#..#.......####..#.###...#..##..#.#.#.##.#...##..#.##.#.#...#....#.####.##..###..#.###..#.##.#.##..##..#.###..####...##..#....#..##.####....##.#####.#.####.#..#####.##.#.###.#..###....###..#...#..##.###.#......##....#.###.###....#.#..#....#..###..#...####...#.#..#.#...#.##...#..###.#.####..#...#.#..#.##.##..####....#####.#.#...#.####.#.#..###.#.###.###.#...#.....#..##.####.##..#.#####..#.####...#.#.....###..#.###.##...#.#...#..###.#.##.##########.####.........#.#...#....####.##..#.#####..###.##..###.####..###..#.##..###.#...#...#..##......#....#..#...###..#.##.#.###..#....##.###.####.#####.#.#.#.#..###..##...#..#...####.#########...##..#.##...#...#..#....#.#.##.#..#.##.#..#.#.#.#.....#....#..##.###.#..##.###.#.####.##..#####.......####.##.##.##...#.#...##...##.######...###.##.#..#...###.##.#...#....######.#.###...##.#.#..#..###.##...###.#....#..####..##.##....##..####..#..#..#...##.#...#....####...#.#.####..#.#.#.#.###.##..###..##.#....##.#...#.#.##..##...####.#...####....######.#..##.#.#.#..#...#.#.###...#.#...#.######.####....#..#.#..###..#.##.#..###.#..#.##.#...#.##.####.#####..###.##.#...#.#...#.#.#...#.#.###.......######.###..##.##.#..######.###.#..#.#.##..##.#....#...#.##.###...#.....##......#....#....#####..#####..#####.#..#####.########.###.##.##.....#..#.#..#.#..#.####.###.####.###.#.#.#..#..###.#.#.#.#....####....##.###.###.#.#.....##.###.#..##..#....###......####...####.########..#..#...#...#..#.#.##..###..#..#...#...#.#..#...#####...##..#.#..#....#..#.##.##..#.#.#.#.###.#..##.....#....#####...
..#..###..#..#.##..#.#####..#...##.#...##.#.#.####.##.#.##.#....#..#.#..##.#..####.##.#...#....#.#..#..#..###....####..###.###.#.#.###..#...##.##.#..........###..#...##..#....#.#..#.######..#.#..###.#....#######.....#..#.#..#...##.##.#.#.#.....##.#######......#.#.#..##.######.####....#...#....#..#..###.#...#.###....#######.###..#..##..##.###..#.#####.####.#.##..#####..#...#...#...#.....#..#...###.......#.#....#.#.######.##..##.#.##..#####...#..####.##.####.#.##.#########...###...#.###...#.##..#.......#....####.##..####....###..#..######..#..###..####.###..#.#....#....#####..#.##.....#.#..###.#.###.####.#..##.....###.#.###.#.##.#...##.#.#..###..#####.#.....##.#.#.##...#.....#..#.##.#...#.#.##..#####.###...#......###....#..##..#.###......##..#.######..#.#.##..#..##..#.#.#..##..###......##.##.####.......####..#.#....###...##.#.##.####.#.#.##..#.#########..##.###.#.####....####..##.....#.#.#.#####.#....#.#.#.....#....#..#....##...#.####.#.#...#######.####.####.######.#...##.##.##.#.#.##.#..#..#####..#.#.#.##..########.#.##.##.#.##...#....#.......#..##..##..#...#..#.##.##.#.#..#....######.##.#.#..#...#....####.#####..###..##.#...#...##.###.#.#....#...#....####..#....#.#.##..####.#..#####......#.#..###.###....#.##.##.###.#........#..##..#####.#.#.###..#...####..#.##....#...#.#.#...#..###...#.##....##..#.#...##.#....#...#.###.##.###...#.#.#.####....#.#...#...#.#...###...#...##..#.####.##.##..#....##.#####.###.#.....#..##.###..#.#.##.#####..#.####..#.#..#..#........#.#.##...#....##.##....##..####...##..#.#.####.#.##..#..##.#.#####.##.#..#..#.#..##...##.##.#..##.####.##..#.#######..###.....#.#..#...##.###.####....#.#.#.##..#.#..###..#..#.#..######.##.#######...##...#...#.#..#.#..##.#####......####..#..##..#.......##..##......#.#.####..#.####..##.###..##...##.#.##.#..#.#..###..#.##.###...##.#...#..#.#.#######..#...#.#.###.##..#..#.######...##....#..###.##..#######..#.#...##...#..#..######.....####.###.###.##.##.#.#...###..#.#..#.####..##.###.#...##.#.######...##..#...###.#..#
..#.######..#.###....###.#####..####...#..#....##..#.#..#.#.#......######.#.#....####.##..#.#.#...#..####..#########.#.##..#.#.#...###.#..##...#.....#..#.#..#....##.#....#...#...#...##.##...#..#...#.#....#.##..#...####..##.####..##....#.#####..#..#.#.#..####.#....##..#..##.####.##.##....#.#....#.##.##.#....###.##...#######..#.#.#.#....#..##.#.......#.#....##..##..#.#.#..#.#####.#.#.#...####......##..#.#..###.#....##..#.##...#..#..###...#...##.#...##.#.#.....#.##...#..#..#.#...##.##..#...#.##...####...#...#.##.##....###..##..#.##..##...######.##......####.###..#.##.#.#..#..#.....#......#.###....##.#...##.#.###.#....###.##..#.##.###........#...........##.####.##....###...##.#.#..#..#....###..#....#.#..#.#..###..##...###..#.#...####....###.#.##.###...##.#.##.###..#.######..###.##.....#..#.##.##..#.#.####......#.##..##.#..##.#...#..#..#....#..####.###.#.....###.#.#.....#.#..##..#.#.#...##.###.#####....#.###.#####........##...##.#....####.###.#.###.#..#..#.##.##......##.#.#....#.#..#.##..#.##.#.####...#.....##....###...#.##...####.#.#..#.#..###...#.#..#.##..##..###...#...#.#.##..####..#..##....#.....#...#..##...####...####..#....####..##.#.##....##.##.###.....#.####..##.#..#.###.####.#.#####.#####.#..#.###..###..####.##...##..##.###...#.#.###.##.###...#.#######.#.#..#....#.....#....####...#.#.#.#.##.#.#...###.#..###.#.##..#.#####.##..#.#.##.#.#...#...#..##.#..#...#.####.##..#.##.#.#....####.######.##...#....#.#.###...#...#.##.###.#....###.#.#.#....#...#..##..##..#..#..#.#.#.###.#.####.##..#....#######.....##...#####...#.#.#.#.####....#######.....####.#..###.....######...#....######...#..#..###..#####..#########.##.....##.###.##...###.###..###...#####.#...#..###.#..###.#.#..#.#.###..##.##.#####..##.###..#.###...#.##.###.##...##...###.#.#.##.#...##.#.#.#.#.##.##..####....##.####..#######.###.##..#.#.####....#..#####..##..#..#..#.##.#....###..##..##.#...##.#..#.#..#.#####....#.#.#.##..#.....#....#...#.#..#.####...#......##..##.#..#.#...#.#...#.###.##.###..#.#..#.#..######.#
##...###.#..###.#.###.###..#.###.##...##.#..##..####.....#..###.#..#...#.#....#....#.#####.##....##.#..#..##.##..####.....#.###....#...#.##.##.###.##.#..########.#..#....###..#.##..###.#.#...#..#....#..#..##.##..#.#...##.##...###.##..##.#......##...##..##..###..##........#.#.#####.####.##.#.#..###.#..###.####.#..#..#.####.##.#..####.#...#.##....#.#....##...#..#.#.#.#.#....##..#...##......##..#.##.#...##.##.#....###.##.#..#.##.#.#.####....#.##......##..#.#.##.###.##...#.#.#.######.#.##..#..##.......####.##...#..#.##..#....#####.##.#......#.#....#..#....#.##.####.#...###.####.#...##..#.###.#.####....#..######.#.#..#.#......#..##.###.####.##..###.#....#..#.################.......#.....#..#..#.##.##...#.##..###..#.#.#.....##.#.##.###....##..####...#.#....####.....#.###.####.#.###.#..####...##.#....###.###.....#..#...#####.###.#...####.##..#####.##.#.##.#.###....###.##.###.#.###..#.#.##.#.#......#.#.#...#.#.#####..#...#..############..##.#..#.#..####.###..#.#..#.#..##....#.####.###..##..#...#.#.....#..#.#####.#.#..###...##...##..##..#..#...#......##...#...#.....######.#.###..##.#.##.##.####.##.......#.###.##.....##..#.##.####.#.#.#.###..####...#.#..#.#.....#..#.#...#.##.#...#.#...#.#.##.##.#.#.#.#.....#####.##..#.#...##.###..#.#..##.#...####..#.#.####....#.####....#####..#####.#.#.#..####..#..#.##..#...#.#....##.....#..####...###.#.#.#.##.....##.##..#.###......####........#####.#....#.##.##.#.#...#..#.##.#......#.#.#.#...###..#.##.....##.....####.....#..##.##....###..####.###..##....#.#..#...#.##..###.#######.....###..##.#..#.#..####....##.####.#.#.#..####.##.###..#..##.#.#####...#.#.#.##.##..#.###.####.###.#....#####..#.#.#...#.##......##...#..#..###########.#...##.###..##..###.###..#.#.#...####..#.##.##.#...#####.#####.###..#...##.#..#..#.#.##...####....####.#.#......#..###..#..#...##.#..####.##..#..#####.....#.....####....#..#.####.##.#.#.#..#..##...#..#.##..#.#.#........###....##.####..#.####...#.#.#...###.###.##....#.#....#.#####....##.#..##..##.##.#.#....#.....###.
.....#..##..#..##.#.#...#######.######..#.##.#.....#.##.......#..##..#...###.##.#..##.#..##..#######.#........###..#...##.##.##.#..#.#.##.###..##...##.##..#.#.#.......#.#..##.###.####.#.#.##.#...###.##......#......#.#....#.##.#.###..#.#.#....##.######.####.####.#...##..###.#.#.##.#..#.######..##.#.#..##...#..###.#....##..#.#.#.#.#......##.#.##.#.#....#..#.#...###...#.#.###...##..#.#.###...#....#.#.##.......#..##.....##.#..##..##.#..#..#....##.#..#.#####..#...#..##..#..###..#....#.##...###..#####..##....#.....##.#.##.#.#.#..#.......#..#.#.###....##.#####.####..#.#...#.#.#.###.####.##.#.#..##......#...######.##.....##..#.#..##.....#.##.#########.##..#..#.#.#..#.....###.###..###............#...#.....#....##.....###...#.####..#.####.#..#.#####.#..#.....#...#..#...##.#.##..#.#.####.#.#..##.#.##.##.#..########.##.#..#.###..#####.#......##..###..#...##.#.#.#####...#.#.#.#.###..##..##...#..#...#.####.##..##..#.####.#.##..#.#..##..#..###..#.#.....##.#######.#..##.###.###.##.####.#.##.#..#....###.##.#..#####.####..###....#######.#.#..#.#.#.#.##....#...#.##...##.#.##..#..#.#.##.....##..###.##...##.##.#..###..#...#.#...#..#.##..####.#.#####.#.##...#..######..###.##.#.#.#..#...###..##...####...##.##..####..#.##..#..##.##.#.###.#...........#####.##.###..#.#....#..###.#...#..##...####.#...#....##.#.#.#.#.#...##.##..##.###.#..####.##..#.##.#..###...##.#..##..####.#...#.#...#.####.#....#.#....##.###.###.#..##.##.##...##.#####.#.#...#...##....####.#....##...#..###..###...#...#.#..#.###..#.##.....#.##...##.###.#.#..####..#.###....##...#.#.#..####........#..###...##..###..####...#.#.#...#...###.##.#.#.##....#...#.##...###.#.##.######.####.####......#...###...#.....#.##.#.#.#..#......#.....##...#.###..#####.##.####..######.#.#.#.#.#.##.#......#.#.#.#..#.#...###.#######..##.#..######..###.##.#..#....#...##.##.#.#.#.#..#........##...###.######.###.#...###.###..#...##.#...###.##.#.##..#..#.#..#..#####..####...#.#.#..#.#.#.#..##..#.###....##.###..#####.#.#..##..##....#.#..#####.####.###...#
.#.#..##...#.#..#####.#..#.#.#.##....#.#..........##..#.###.#.####..##..####..####.####....##.#..###.###.#...##.....#.####.#.....##..####.#.#.###.###.#.###......###.#..##.#...#....#########.##.#..#...#.####.#.####..#.#....#...#####...##.#..####......####.#.#####..#####.#.###.......#####...##..#.####..##.#.###...##.##.##...#..##...##.........#..#.##....##....####.####..#.#..#####.##..##.#.#...#..###..#.##.#..##.##.##...###...#........##.#..#..#.#..###..#..#.#.#.#####.#.........#.####..#..#.##.####.#..##.#..#.###....#..####.#..#....####.#....#...#.##....####..###.#.#.###..#.##.#.#.#.##.##.###..#.#.#####.#.###......#..#.##..##.###.#.#.#..#..#.##.#...##.#....#...##....#..#...####.##.#.####....##.#.#.#.#..#..#.#.#.####...#.##..##..#.##..###..#....##....###......####.##..##.#.#.########..####..####.##.....####...#..#...#.##.#.###.#.######..####...##..#.###..#.##.##.##.###....####....##.#..##..##.#####..#.##....####....##.##.....#....###.##.#..###.#...#.#.##.##.#....###.##.....#.###..#.#.###.##.#####.####.#.##..##.###.#.##......#..##.....##..####....###...#.....#..#...#.....#........##.....##.####.#.##...#.#.#..##.#..#.#..##.#....##.#.####.##..###.###..#.##.....#.#..#.#.###.#####..###.#.#.#.########.##....#.#.#.#.#.#....######....####.#.....###.######.#.##..#..###..#.##.##.###...##.###......#.#.##...#..##..###...##..#..#.##...#..#...#.##..####...#####......##..#..#.#...#.#....#..#..#.##.....#...#.#.####.###.#.##...##.....#####..#####.#..#.#.###.####.#..#.#...#..##.#.......#.#...#.##...##..#...#.....#..#.##..###.##..#..#.###.#.#.#####.##.#.#...#.####....#.####.#..####..#..######...##..###.###..#.#...#.#..#..#.#.#####.###..##..#.##.#...##.##..#....#..#.##.#.#....#..#.#..#.#.....#.#..#..#.##...##......#....#........##...##....#...##..#.##..#####...####.#.#####.###.##.#.#...#..##.###...#.##.#.#####.....#...####..#..##.##.#...#####....#.#####.#...#.##...##########..#.#.####.###.####.........#...#..##....#.##....#.###.#.####.##.######............#.##.##.....###.#..#.#####...##..
#######.#..#.#..##..##.#...#.#..#.....#.#..#...###..#.....##.##.#.......###.....#####.####..#..#..#.#####.####.#......#........#######.#..#.#.#.###..#####...#####.....#.#.##.......#.#.##...#.#..#.####..#..#...####...########.#.####.##.##....##.#.###..####....##.##.#.#.#..###...##....#.##.#.##.#.......##.##..#..#..###......#.#..###.#.#..#..#....##.#...#...##.#.#.#.######.#....#.....####.....#.##..###..#..##.###..#...###.##.......###...#.###..##.......#..#..#..##......#.#....##....#.#.#.#...###......##.######.###.#.#.##.#.##.#.#.##.###.#...#..##.##...#...#..#####.###.##.#.#.#...##.#...#.#..#.#.#...###....###...#.#####.##.#.#.##...#.#...######.#...#.#.#..####....##.#.#.#.###.##.##.#.#...##.##.#.#####.#.###...#######.#.##.#.#.......#.###.##.#..#.######.#.#..#.#..##..#####...#..#.#.##.###..#.#........#..####...#..#.###.#..#.###..####.##...........###.####.#.....###.####...###.#.#.#..######..##.###########.#..#.....###..###...###.#..#.##.###.#.#.....######.#..#.#..#.##......###.#.......###.##....##.#....#..######..#..#.###.#..#####.####.#.###.#..#.#....#.....#.....###..#########....#..##..##.#...#.#.#..##########...###.....###....#.##.##..#..##.#.#.#.#.#.#.#..#.##..#..#.#.#.#.##.....#...#...#.##.#...#.##..#.###.......##..###...#.#.#.###...#...###...#.#...#.#....###...##.#.#.###.#####.#.#..#.#..#######.##.##..#....#.###..#..#..##.#....#.#...#...#..###..#.#..###...#.....#.##.#..##.#.##...#...#..#.##...#...##.##.#..#####...####......##.#..#..#..######..####.##.#..####.#....##...##.##..#.##..#....#..####.####..###.###....##..#.##..##....##....#.##...##.##.##.....##..#.#....#....##....###.####...###..#....###..#.##.#..##.#..#.####..###..##...##.......#######..#..##...####...##.#.##.##..####......##..##....#.####.####..#####.####.....##.#...##......##...#.#.#.#.#..#..#####.####.##...#..#...#..#..#..#.#.#########..##.###..#...#..#####..#.#............#..###.####.....##...#####..####.#...##.#..##..##.##..####...#..#...#.###..##...####.###..#...######.#...##...#.##.##.###...#.##.#
....##..#......##.#####..####.#.#...###.##..###.##...#.#......###.##..#.#.##.###.#.###.......##..##.###....##.##..#.#..##..##..#.#..####......##..#.##.###..##.#.#..##..#.#..#..#.#...#.#....###.##...##..#......#.#..#..#.###.#...##..#.###..##....#.##.#..#.#.##.###...#.###.......#.##.#..#.##....#####..#.#.#.#.###.###.#...##.##..###.##.#.#...###.......#..#..#.....#..#######..##.#.#.#...#.#...#.##..####....####.#..##..##.#.##..#.#..##..####..###...#.#.##...#..##...#.###.####..####.#...####..##..##......###.###..####...####..##..###....##..#..###########.#..#.####.##..##..##.#####..###..##.....#.##...#.##.###.#####.##....#.#..#######..#..#.######.#...##.#.#.....###.####....#.#.###.#..#.##.#...######.#####..#######.####.###.#######.#.####.##.....#...##..##....##..#.#.##.#.##.......#.#.##..##...#.#.##.#.###########.####.#####..#.#....#.#####.#.##.#..####.###...##...#.#....#.####..#.##.#....####.###.#..#..#.#.#.#..#.#.##.#.#.###......##.#...##.##.##.#..##.#.####.#.####.##....#.###.#.##.##.#....###...#..#....####.##.##........###....##......##.####.....##.##.###....#......##.#.....##.#......#.###.#...###.###.#.####.###.####.#.##.#.##.#..#..#....#..##.....####.###..###..####...#.#.#....###..#.#..###..##.##.######..##.#.#..#.#.###..#..####.##.#.#..##.##########.##..####...#.....###.###..##.##.##.####.###.#....#..#..#...##....##.....####.#..##..####.##...####.#.###...#.#.###.#.####..###..#.###....#.####...#.##.#####.#...##.##.###.#.#..#.##..##..#.#.#.##.#..##..#####.####.###.##.###..#...###.####..#.#...##.....######....##.#..###..#.##.####.####..########.####.#..####.####..######..####..#.#..#..#.#..#.###..###...#...##..##.##...#.##...#..#.#...#..###....##....##..#####.....#.#.#..######.#...###..#.###.#....#..##..#...##.##..#..#.#.#..##..#.####..#.##.##....#.#.#......#..##.#..#..#..#...#....##...#....######..#####.####..#.#####..#.##.#.##....##.#####.#...##.##.#..##.####.##...#..#..#.###......#......#..##....###.....#....##...#..###..#...##.###.....####.##.#..#..#.###.##.##..##.
###...##.##.#.#..#..##..##..##....#.###########..#.....##.###.###.###.#.###..###.#.###.#.##...##.##.######.#..##.##.######..#...#.#..##..#####..####..##...###....####.###.##.#.#..#.....#.#...####.##.##.#.###..##...#.#...##..#...#....##.#..##.#..#.#..#...###..#.##.......#...##..#.####.#..###..#.#.....#....#........###.............###...###..###.###.#.#..#.#####...#.#####...#######...#..#######..##.#..#.##..#.#.##...#..##.#.#..#..#.#.###..#..##.##.#.#.###.#.#####.#.#....#.#####..##.##.#..###..##..#.#..#.###..#.#.#.....##..#.####..##.##..##.######.#.#.#...#.#.#.#..#.####.#....#########.##..#.#.#######...####.##.#...##.##.#.#.#...##..##.###..###.......#.#....####......#...#.###.....##...#####....#########.###...##..##..#.##..#.#.##..#..#...##...#..##.##.#######....#....####..##..#.#.#.#.#...###..#..###..##.#.#..##.....#####.#.#.#.#.#.#.#...#...####...##.###...###.#.###.....###..#.########.##..#.#.###....######.#.#..###...#.###.#.##....##.####.##......#..##.##..#.#####..###..#.....#..#.####..##....#.#...########.#..#...#..#.#..#.####...#...#.###.#..##.#.#.#..###.#.........###.#.#.....#...##..#..#.#..##.###....#.#..###...#..##.##.#..#.#.#####..##.......#.....##.#...##.....#..##.#..#...##.#.######..#..###.###...#..##.####.###.##.##....#.#...####..#.#.#.####.#.####...#..####.#.#....##..#....#..###.#.....#####.#..#.##.#..#####.........#..##.#..##.#.#..#...#.#..#.#..######.####....#.##.#.####..####..#.#.#...###.#.#.######..#.#.###...#.#...######.##.#.##..#####..#.##.###.##...#..##.#..#...####..#.####.#.#...###........#..##..#..#.##..#.##.#.#...##..##...#...#..###..#.#.##.##..#.#..######..#.##.#######..##.#....#...#......##....###....##.#....####.##..##.#..#..#.####.###.##.#.#####.........#.#..#...####..##.....#.###.......#.#...#..#.####.....#.#..###..##.#.#.##.#.##...##.#..#.##.###.##.##.#.##.#..#..#.####...##...###.##....###.#.#.#...#..##...##.#.....###.#####.#..#..##.##.##.##......##.#.##.#.###.#..########.####.##.####..###.###.######....####.####.##.#.##########.###...###.
###.###...#.#.##.#.#.#.#.##.#####..#...##...##..#####...#.###.#...#.##.#.#.#.####...#####...###.#####.##..#..#.....#.#..##.###..#.#.#..#..#...#.....##...##......####...##..#.....#..###....#...#.#.....#.##......#...#.......####.###..####..#......#..#...#..#.###..###.#....#.#.#........#...###......###.##..#.#...####.##....##.#....###..#..###...##...#..#.#...##.#.###..#..#.....##.#.#.#.#.#.#..#.....####..#..#####....##.#.##.#..#.#...##.#..#.#.#.#.#..#.#.######.##..###.##..#..####.#.....#..##.##.#.#......#.##.#..#.#....#.##.#.#...##.#.####.###..####..##..####.#..##.#....##...####.#.#....#..#.#.#..###.#####...###.##..#..###..##.#..####..#.#.#...##..#..#.#..#..#####....#.##..##.#.#######..#.#.#.##...###.#..#...##....#....####.....#.##.##..#..#..#...#.#..#####.....###...###...#.#....##.#.#.####.#####.##..#....##...#..#.#####.#.##.#####.####.##..#..#.#...###.#..#..#####.#...#.#....###..#.##.##.#...#..#.....#....##..#....#..####....#.......#..#...#..##..###.#####..#..#..#######.###.#######..###....###...#..##..#.##..##.#.#.##..#...###.....#...#..#.##..#####..#..#..#.##.......##...#.#..##......#...#...####.....#....###.#.#.##.....#.#...##.#..#...#..#..#..###.#.###.........###.#.###.#...#...#.#..###.##.......##.#.#.######.#.##..##..#.#.#.###.##.#.#..##..#.###....####.#..###.##.#.#.#.##....##...#....#.#...##....#.##.....##.#.##..#.#####.#.##.#.....##.......#.#.###....#####..###..#.###..#..#..####..#.#.....###..#..#...#####...###...##..###...#.#.#...#..####.#.##..#..###..##..#..#.##......#..####.#.##..#...#.###....##..#...#..##.#.......#.......###.##....#.#..##.#.##...#.#..##.#.##.##..#.....#.#..#.###....#...#.##..##..#.#...#.##....##.....###..###.#.#.#.#####.#..#...#..##.#..#.#.#.#...#.####.##.####.####..##..##.#.##.###.....###...#...#..##...#.#...#..###.##.#.......#####.#..#.#.#..#...#.##..####..#####...####....#..#.#.###..##.#..####..####..####...#..#.#.#.##.##.##......##.......#..#..##..#..###...#.#####...##..#...#...##.####.#.#.######..#.##.###..#..#.#.#.#..#.##.#####....#.
#..####.##.#.#.##.#..###.####.##.#.....##...##...##.##.#..###..##.##....#####.#.###...##..#.#...#.#.#..##.##..##.##.##.......#..####.#.#.#..#.#...##...##...#..##..#.#....##...###.#.##..##.#.##...#.#####.#######.......##.#.#.#.#.....###...#..#####.#.##.#...##.#.#...#..##....#.##..####.####.#.#.#..##.#..###.#.##..#.###.#...######.##..#..###.###.###..###.#.####..#####.#.##.#.###.##.#.#..##.##.#....#.#..#.#.#..##.##..#.###..##.#.........#.####...#..#.#.#.#.#...#..##.#.#####..###.#.####.#.##.#..#...#.#..#.#.##......#..###.#.##.#..#...###.......#..#.##.#.##.##...#...###...##...###.##.#.##..#...##.###..##....#.##.#..##..#######.#..###.#.#...###.#...##......##.##.#..#...##.....####.....#..#.####.....#....###.###...#.....#.#..#.....##.#..#....####.##...#...##..#####.....#..##.#..##..#.#.##.#.#..#####.#........#..#.#....#..##.#..##..#...#..##.#....#.###.#.#....##..##..##.##.##.#...###.##.##.#.#.#...##..##..##.#.#.#...######.#.##.#.##.##...####....#..##.##.#.##...#####...#.#.###.###.#.#....###.###..#.###..#.###.###.#....###..###.#..#.#.#...#....#..##.##.#####.###.....#####.###.#.#..#...#..###..#.##.#######..####.##.#..#.#.#...#.###.#.#.#.#..##.#####..#.#.#####..###..#.####.###.###.#..####.#..#..#.#..###.#.#.#.##....#...##..###..##.#..##..####....#....###.##....##.#..##.##...##..#####.##.#...##...###......#.#.#.#..###.#.#.#.##..#...#..#.#.#..###.#..#..##.########.....#..##.#.#....###.##....#..#####.....#.####.#.##.###.##..###....#...#..##..#.#.###.##...##..###..#.##..##.#.##.#.##..##.#...##..######..#..##....#.#.###...#....##..###....##...####..##..###..###...#.##...#####.....#..#.####.##.#....#...##..#.....#..#.###.######...#.##.#####.........##....#.#.#..#####.#.#.##...#....#.....##.##....###.#....##..#####.#..##.#..#.....#..#.#.####.##.###..#.##.##..#..#..##.....#..##.#......#.#....#.####......###.#.#####.....#..######......#.#.#.##...###.##.#.##..#.##....#..#...####.##.#...#.##..##.##......#.###.#####.###.#....##....#.#..###....#.##..###.#...##......######.#....#..#..#.#..#
..##.##.#..#.#.####...#...#.#.##.#..##..#.#....####.#.....##.###.#.##..##.###.#..#.######.#.......#.##..#.###.###....##.#####.#...#.##.#####.##.#..###..#....#...###.#####......####..#..####..##.##.#...#..#...###.#..##.#.####.......#.#.##..#..##..#...###..#.##..##.#..#.#..#.##..#..###.#...###.##..##.#..#####.####...##..#.####...#.#.#..#.##..#.#..##.#..#...##.####..#.#.##.#####..#.....##.#..###.#..#..#.###..#.####..##.#.###...#..##......#...#...###...#.##..#..##.#..#.#.###...#.#..##.#....##..###.##..###.#.###.####....#......#####.#.#..####..#..#.###.....###.####.#..#.###..#######...##..#...###.#.#.###...###.###.###.....#...###..#......#..##..#.##.###..####..###.#...##..#..#.....##.#..#.#.##.##..##..####..####....#.#####..#####...#.####.###.#.......###.##..#.#..#####..#....###...###..#..##.##..##...##..#.##.######.#..#..#.#.#.#.#.#.#.#.#.###..##.#.#.#####.##.#.......##.##.#....###...##...###.##.....#..#.#.#...#....#.#.#..#.#.##.#.##....##.#.#.###..##.####..######...#####.####.####.#...##.#.##..#....##..#...#.##....#.#.#...##.#...#.#...##...##..#..#.#.##..##..##.#..##.##..#.##.#...##.##.#..#########...#.###..#.#..#.......#.#......##.#.#..#...#.##...#.#..#.#.##.#..#..####.#..#..###.#.###.#.#...##..###.#..#..##...###....#.######...#.....#.##.#.##......#.#.#.....#..##.###.##.##..###.#.......##..####..##.#.#....#.#.##..###..#####...##.#.##..#..#....####.#####...#..#.##.####.#..#.#.....####.#..#.###.####...#.##....#####.#..#.##.##.###....##.####.#####.#...#.##...#.#..#..#....#...####.###..#..#.####.######..#..##...#..#.###..##.....#..###.#...#.#..##.....##.####..##..####..##.#..#...###.....####.##....#######..#....##..###.#..##..#..####.#.#.##......#.#..#.#####.#..#.####..#...###..#...###.#..#.#.#..####.#.###..##.#...##..######.###.##..#..#.##...#.#.#.....#..#####....##.#.##......##..#..#.#.#######.#...#..#..##.##....#.#..#.####.#.#...#..#.##..#.##..####...#####.##....#..#.###..#..###...#.##.####..#.#.#..#.#.#..##..###..###.#.#.#.###.######..##########.....##.####.#.....####
#...#..###...#.####.####...#.#.#..........#.##..#.###....#.#.#.##..#......#.#.###..####...#..#....#.#.#.##...####...###.##..#..####.#.##.##.####.......#.#..#.#...#...#...##.###.#.##.#.###.##.#.##.#.#.#.#..##..##.#..#.#.##...####.#######.#....##.#.###..##..##.#####.##.###..#..##..####....#...#####.####...##....######.#.#.#####..#.#.#.#..##..#..#.........#.##..###..#..###...###.#.###.##.##...#..#.##.#.#..##.#.#.#.##.##...#..##...#.##..##.#.###.###..#.#..#..##..#.#.#..#.###.#...#.########.#..####..###.......##....##.#.##.#.#..##.####..#..###.#####.####.......###.#..##.###.##.##.#.###.#.....##......#.##.#.##...#.##..#...#.##.###...#.###....###.#......#......#..#..###.#.....#.##.####..#.#..##.##.####.##.....#.#.##.#..#..#.#...#####.#...###.####..#####..#.#..##.##.#...#.#..##.#.###.###.#..##.#..#..##.#.#.#..##.#.#.#.#.#.#..#..#.#.###....#.##..#.####......#.##..##.#.#...##..##...##.......#....#.###.#..#..###..##.#.#..#.##.###.##.##.##..###.....#.#####...###.#....###.###..#.###.#####.##.#.##.#####.#.##.........##.###...#.###.....#####...#.#..#..##..#.###.#.#.##.##.####.####...###......##.#...###.#..#.#.......###..####..##....#####..#######.#..#.....########.##....#...#.#..#...#.#####.......#....##....#..##...#.#.#.....#..###......##.#.#.###....##.###...##...#.#.###.#..#..#####.##...##.##..#...#...#....##.#..#####....##..########.###...##.....##.###......##.#..#.#...#.###.####..##.#.#...#.#.#..#...###.....#.##...########....##.........#...#.#...##.#.#..#.#..#..#.####.###.#.#####..#..#####..##.#...#.#......#.#######..##..#.#.#.###.#..#######.##...#..##.###...##.##..#..#...#.#.##.#..###...#.###...##...#...#..#...##...#..###....##.#.#.##..#.#...####.##...#.##...#..#.#.####.####..##...#..######.###..#...#.##...#.###.#.....#..###..###.##.##.....#.#.#.##..#.#.#.#....#.#...##.#.##.#..#..#..####..#.###.#..#.####.#.##.#..##.##....##...##..#..####...........#.....##...#.##.###....###........####..##..#.##.#..#.##...#..###......###...#..###...####..........#..#.#..##.#...#.#.#.##.#.###
#.#....#..#..#.##..#.#.###..#.....#####.....##.##..#...###.#..#...###.######..#.#...#.###.###.....##.#..##.##.#......####..##.#..##..####...#...#######...####...##......##..#.##.#.##.##.##.#.#.#........#.####.###.##.###...###.......#...#...######..#.##.#..##..#.#..##.#...#.###.###...##..##.##....##.##...#...#.#.##..#.##..###...#.#......#.......###.####...#.#...###...#.#####....#.##..#.##..##.##.######.####..#.#..#.....#.##....#..#..#..#.##......#.###....#####...##.#.#....#.#.#.##.##.#.##.#.#####.#.#.##....###.###.####...###....#.###..##.###.####....##...##..######...#...##..#.##.#.##....#......##...#..#...##.#..#.##..##.#.#.#.#.#####...##....####..##..#....###.##.#.##.#####.#.#.###..##....###.#.#.#....######.....######.....##.##..#.#.####.#.##...####.##.#.#..#.##...#......####.#.#.....#.#..#..#...#....###...#.##.#....###.#.......##.##...#....#..#.##.##.#..#.###.#.###...#..##.#...#.#..#..#..#.#..##########.#...#..#.#..#.##.##..###....#.###..##.##.##...#.#.##....##...#.#.###..##.##...#.#..#..#.....#..####..###..####.#...##.###..##......##..#..#.#.#..####.##...#####.#.#.#....###.#....#.###......##.#.#...##.##....#......#.####....####...##..####.....#..##.#.......#.#.#....##.....##.#..####.#.##.##.#.####.###.#..#.#.#..##.###......#.#.##...#.#...##.##.#.###.#.#.#####.#.#.##.#.#....#####.#.##..####.#.#..##.#.#.####.#.##....#...#..#.#..##.#..######..#.##..##....#...#...#..#.##..##.#..#.####...#####..##..###...#.###.#.######...#..##.#.###...#..#...#####..#...#.#...##...#....###.##.#.#.#..#..###.....#...#.###.#.###..#####..#.##...#..#.#.##..##.#..##..##.#.#.#.##.##.######...##.#.##....#.#.#.##..#...#..#.#..###.....##.....#.#.#.#...######....###....#.##...##..##.#..#####..###......#.#.#...#..#.#.##...##.......#.#.#...#.#....#...###....#......##.###..####.#.#########..#.#.#....###..###.###...#......###..#.......##.#.###..#...#.##...##..####.#...#.#.##.#...####...###....#.##.......#...#.#..#.#######........##..###...##..#......###..######.##.....#...#..#.#.#.####..#....#.#####.
....#..##.##...##.#.#...#....#..##.##.#...#.#.#......##...##........######..###.#.#.##.##...####.....#.#.#..#...####.#.##..###..#.#.##..###.#..#..#.#.####...###.###..##....##.##...###...#.##.####.##.#....##.#..###..###.###..#..##..#..#.#####.#...#.#.##...#.#.#.##.##..##..#.#...##.##.##.##.##..###...##.#....#.......##.#.......###..#...##..###.###..####.####.###.#######..#.#.##.#.#...#..##.##.####..#.#######..##.#.####.#.#.#.#...########...#######..###.###.......#...#.....#....##...##..##.....##........#..###.##.#...##....#.#....##.##.#.####..##.###.########.....#..#.###..#..##.#.#..#.#.###.####.##.#...#..#.###.#..#..##....##..#####..#.##.##...#....#....#..#......#.#.##..#.#...###...#..#..####.......#..#....##.#.####.#.####.##..#.####..#..###.#....#..#.###...##..##.#...##..#.##.##.#.#.###....###...#.#......##.###.#....##..###.#####..#..##.##.....#.#......####...#......#.......##.#..####...###.....#...#.##.##.....###....#####.....#...#....#...##.....##.#...#.#.####.......#.....##..#.###...#...####.#..#....##..##..#....##.#####.....#.#.#...#.....######.##.#####..##.#.###..#..#.##....#####...#..###.###..###...#.#.#.......##...#.##..#.#...###.....#.#.###.#.##..#.#.#.####.#.#...#.####.####..###..#..##...#.....###...##.##.#..###..#..##.##...#.....####..#......#.....##.....###..#...#####....#.###.##.##..#.....##..##...##.#.#.####.#.##.....###.##..#.###..#..###..###....#.#.#.###.##...###.#...##.##...#....######...###.##..#.#...###..#####..###.#.#.#.#.#.#.######...##.....#..#..##.#.....##....##...###.#.##..#...#...#.###.#.######.#.###.#.###..#.##..#.#.##.##.#.#...####....##...##.###..#####.#.####.#.####....######.###...#.#.###.#..###..##..##.####.##.########..#.####.#...#.#..##.#####..###..####..###...#.##........####.##.#.#.#.#..#..#..#..#..#.#.#...#.#...##.###..###.#######....####..#..#...###..#####...###.#......#.###..##.#..#..###.###....#.#..#.##...#.##....##.##....#####..#.#..##....#.#.#.###.##.##.....#.#####....#..##....##..##....#...###.....###.#.#.....##..#.#.....##.##
.##...##.#..###.#..#.##.#####..#.##...#...#..#.#.#....##.##.......##..#..#...#.#..#.##.#..###...###.##..###..#.#.#####.###..#.#.#.#...#.#######.###..###.#.#..##....#..#..##.....####.#....#..#####.#....##.......##..#..#..##...#.##.#....##..##..#.#.......#..#...##.###########..#.#######.#.#..####.#.###.#.#.#.#.#####......#...#####..#...#.##...#.#.#..###.#.###.#.##...#...#.#..#..#..#.#...#....#.#.#.#####...#...#.....#.###########....#.#..###.#.##.#....###..##.##.#####..##.#.#.#..##.#...##..##..####.###..###.##.#.#...#.##.#.####.#.###.#..#.........#.......#..#..#.###......##.....###.##....##.#...###.#..#...#.##.#..#..#####..#.......##.....#####..#.#.......#########..#..#..#.##.#.#.#..#..#...#.###.###..##.#######..#..#..####.#..#..#...##...##.#.##......##.#.#.##.#...#.#.##..##.##.#.#.#######.#...#.#.#.....####..###..#..#.#..##..###.#..#....###.##..####........##.#.#..#.#...##.##.##.#.##.###...#.##.#......#####.###...#####.#.##..###..#....###..#..##.###..#.##..####.#...#..##..#.##.#.#...###.#.#.#..##.###..#####..##..#...###...#..#..#.##.#......###.#..#.#.#..#..##....#.#.#..###.##..#..######....####...#.###.##......##..#...##.#....#...##.#...#..###...#.##...#..#.#.##..##..#...###.#..##.###..#..#.#...###...###.#..###.#.###..#..##...#..#..#..#...#.........#..#.#####....##..#.#.#.#.####.#..#.#..#..#.##..#.####....###......#.#####..##.####.####...#.###.#.#####.#..###.#...#...#.##.##.#..#.#..#..#.##.#..#.#.....###.#...##.###.#..####.#.##.#..##..#..#.##.#..###########.##..#.#.#..###..#.###..#...####....###.###.##....##.##..#.#.###.#####.#...#######.#.#.#.#....####....#.##.#########.#....#.##.#...###.....###.###.#..#.##...#.#..#.##......#..#....####......#######.#.##....#.#.##.###..#.....##.........##.##.##.####.###.####..###....##.##.....##..###.#..#..#.###..#.###...#.....#....#.##.#...#..##.##.##...###............##..##...####.#....#.....###..#...##...######..#..#####.#.....####.#...####...#.###......#.##.#...###.###..#####..######.#...##..####..###.#....##.####.#...####..##...
#.###.#..##.####.#..#.#..#...#....###..#.#.#..###.#.#.#####.####..#.#..#..##..##.#.##...#.#....##.#...#.#....#..#.##.#...##..#...##..#........##..#..#.##..#..#####.#######.###.##......####...###..######....##.###..#.##.###..#...#....#.####....##....###.#.....#.##.....#....###..#####..####.##....#...###..#.#.#....##..#####....#.#.###..#..#.######.#.##...####....#....####.###.##..###.#####..#.....#######..#..##.#####..###..#..#..#...##...#.....#....##...###....#...##.###.#.#..##..##.#.##.#....##..#..#.#.###.#.#..####....#...#..##.##..#...##..##..########.#....##.......##..#.##..##..###..##..##...#.##..#.##...#.#.#.##.##.###..#.##.##.#...#..####.....#.#...#..###.#.###..####..###.#...#..#.#######..#..#..#####....#.###########.##..#...#..#.#.#.#.###.......#..#.##.##.#.##.###....#........########.#..####..#.#..##...#...#.#..##.###.##.#.##...#.##.#....#.###.....#..#.#.##..#.#.####...###.###.##.#.##.######...##..#.#..#.###..####.####.#.###..##..####.....##.#......#...####.##..##.###.#...#.##.###.##....###.#...##.#....##..#....#.######.##...#.#.#...#.##.###.#.###.#.####...#...##.####...#...#...####...##..#.#.##..##.###.#..###.######...#..###.#.###..###....####..##.###.####.####...##.###.###..#.##.##.#.###..###....#..#.########.###.#.#####.###.#.########.####...#.#..###..###...###.##...##.#.#..#...####....##....#..#.####...###..##..#.....##....#...###.###...##..##.##.#.####.#.#.#.#..#..##..###...##.#....#....##.##.#..#####...#.###....##.#.#......#.....#.#.#.##..##.....#.#.#...#..##.#.#...#.##..##.#.##..#.###.#######...#.#.##.#.#.#########.##.###.##......###..##..###.##..#########....##.##.###..##...###.##...#.###..###....#...#.#...#.#.##...####.#..#..###.########.##.#.#.#.#..#.####.##.##..##.#.##....###.#####.#..##.#...#..###....###.##.##..##..##.#.#......#...#..#....#####..##.#....#.#.##.#.#.#...#..#..#.#.##.##..###..#.#####.#.##.#..####..##.#.#....#.#.#...#.....##...#.##..##.###.##.##.#.##.#.#....##.########...#...#.#...##.#..####.####....#.#####.#.##.........#...###.##...#
.######.##.##....#.###.###.......##.#.#..####.####.##.##.#.##.#.#...##.##.####.####.#.#.#.###.###.##...#...#.#.#...##..##...#.#....#.#.#.#..####.####.....#.#.###.####.......#.#..##.#.#.#..#..#..#.#..##......####.#..........#.#.#...####..###.#......##.####.##..##.##...######.#.#.#..###.#.#.#...#.###...########..#.######...##.#.#.#.##.....#..#########..#.....#.....####.#.#.#.......##...#.#..#.##.#.#.#...#...##.#.#.#.#.....#..#.#...#.#..#..#.########.##.###.###.##...#..###.#######..##.#..#..####.#####.#..##.######.##....##...#.##.####..##.#########.##.#...####.#.##.#.##.....#.#.#.#.....#....#....#.#..##..##.....###...#####..####....#.####.##.#....###.##......#.##.#.#####...###.#....#.###....##..#.....##..#.#..####.###.#..##.#.#.#....#.##.####.#.#.#..###.#.##...##.#.....##..#.###.#...####.#..##.#####..##....#..###.##..##.#####...##.#.#.##.#.###..####..#..#..#...#.#.#####...####....#.#...#.....##..##.##..#..#####....###.#.#...#..#..##....#.#......####.##.#.##..#..##..####..####.##.#.###..###.#..#...##..#.#..####..##.#..####.#.#####..####....###.#.##..#...###....##.#....###.#.#...#..##.##....#.#...#.....######.#..#.###.#....#..#.#.#.####...########.##.#..#...#..####.###...#######.#.#.####..####.###..#####..#..##.###..#..##.#.#.#####.#.#..#..##..##...#.##.#..###...####.##.#.###.####....#########..#.##...##.#..##.#.###.#.##.##...#..#.#..#.#....#...##.#.#.##.#.#.###.#####.#....#.#........##.##..##....####..#....##..#.#...#.##.##.#.###...#####.##..#..#....####.#..######....##...####..###.###.##.###..#..#.....###...#...####..#.###..#.###..###.#..##.###.####..#..##.#..##..#.#.#..########.######.###..#.##..###...######.#...###..##.####...##.###......##...#.....###..##...##.####.#..#.#.#..##....#.....#.##...###...#..#..##.###.#.#.#.#...####.#...##..#.#...#.#.##..##.####.##..###.###.##....#.#...#.....######.#.#####.########..#.#.#....##..##.#####..##..###.#.#....###.#####....###...###.##..###.#..#####.#..##.#####.#.####.#.##..##.#.#.#..#..##..#####....#.#.#.#.#..#..##.###.#.###.##
####..##...#.####.#...######..#.##..#.#.##.###.#.###...##.#.#.###.#.###..##....##.#.######..###.###.#.##.#..#.#..#...####..#.#..#...##.##..#...#.###.#..###.#...####...##...#.....#.#.#..##.####.####.#.#..##.#####..#....#..#....#..##.#....#..####....###.#.......#...#####.....#..#....###.####....#.#..##.#...##.##.#.#.#.#...#...#######.###.###..#.#..##...#.##.##..##.#.....######.#.#####.#.#.##.#.#..##.#....##.#......##.#.#..##.#...#...##.##...###..###...##....#.#.#.#.......#.###.###.##.##.##..#.##.########.###.##...#####.######..#.#..#.##..##.#.##.#..#.##..##.#.#...##.#..#.###...#...#..#.....###...###....#...##...#..##.#####...#.##...####..##.#.##.#.##....####...####..####.#.#####...#######.####.#.#.#####.#..##....#...##.#...#.##..#.#.##..##..##..#...#.######.....#.#.#..##.###.....##.....#..##.#######.#.#..##.#.#.#..#..#.###..##...###.#.#.##.#.#####...######.#.##..#..#....##...#.......##.####.###.#....###.#.##.###......######..##.##..####.#.#.#....##....#.####..#.#.##.###.....#..#.###...####.#.#.....#.#.###..####..#..#..###.##..#...####..#.###.##.#...#..#...##..#.#.#..##.##.#...#.#.#..##...#####.#####.##...#....##....#.###.#.....#######...#####..#.#.###....##...#..#.#.##.#.##.#..###.##....#.###.#.#..####......#.#.#..#.#.#..##.##.##.###..#..#####...###.#...#.#.###.....##.#.##.#.#.#.###.##.###..#..##.#..#...#..###....##..###.#..#..##.##.##.#...#.###..#.#.#.#####.#####...##.#..#####....###.##..##.#..#..####.....##..##....##....###..#..##.####.#.#.#.#####.########.####.####....########.#####.#.#.#####..#.#.##..##....#..###..####.###....#..##.##...###.#.#.####...##.######..##.....######...##..##.##.###.##...#.##..#.....##..#.#.###.#..#.##....####....###..#...##..##...####.#.#.###.#.##..##...##..##.....#.###.#..#####.....#.....###....#.....#...#..#........##.#..#.#.#...##..####..#.#...##.#..##.....#.......###.####..#...###.##....####..#..##.#.#..#..#..#..#.#..#...#####.#.#...##.#..#.##.#..#....##.####..##....####.#.#.##.###..###.##..##.#....##.###..##..##.#####.#...#..#..##..
...#...#.......#..####....##.#####.##..####.#.#.###.###..#...#.####.##...#.######.#..#####..#.###...#...#.#.#.#..#...##...#..#...####.##..##....#.#.#.##.#.#..#..#...####....#.##..#..###..#.##..##...#........#..#..#.##.......#.######..##.#..#####.#.#.####.#.##..####...#..#....##...#.##.#...#..###.##.#..#........#..#..#..#.....#..#####.##......##.###.#.#####.###...####.##.#####....#...#..######.#....##.###.#.#...#.##..###..##.#########.####.###....###..#.......#.###.###...##..##.#..##..#.####.....#..##.##.##..#.#..####..#....#......##.#.######..###.##.#.#.##.#.####.#.#.###..#.###..#..#...#.####.#.####.#####.#.###.#.##...##.#.#.#######.##.#.#.##..##.##.#.####...#.#.#...####.#.####.#...#....##..#.#.##..##.###.#......#..#..#.###..##..#.#..##.#####.##.#..###.#.##...##.#.########..##.###...#.###.#..#..###....####..#.####..###..##..#..#.##.#.#....###..#####.##.###...###.##..#....##..###..#.#.####...#.#.#..#.#.....#..##...#########......#..##.....#.#...#....#.###....##...#.#.#..#...##....#.#.####.##....#..###..#....###...##.#..##.####....#.##.#.#.#.....##.##.###.###...#...#......####.##..###...#....#..##...#......#..#....###.#......#....#.....###.#..#....##...#..#.#.#.......####...######...#..#.#.##.#....##.#..##.#...#.##...#####..#.####.#.....#..###.###.###.#.##...#..##.##...#...##.#...####.#.#..####..####.#.##.#..#.....#..##.##.###...########..#.#..##.....#..#.#.#.#####.#.#.##....##..#.#.#.#..#....######.#...#..#.#..#.#.#######..#...##..##.#...#....#....#.###....#...#.#########..#.#.###.#....###.#..#...#.###..#...#.#.##....#.####.###....####...##...#.##.###.#...##...##.#.##.#.##..#.......##.#.####.##.#...#..####..#...###..#..####.#.#.#.#.##..#.#..##.#...#...#....###.##.#...##...#####.##..##.#..#.###.###..#.##.##.#####.####...#...#####.#..#..#....###..#...#.#...#.........####.#.####....##.........#..###...#.....###....#.#......##.#...##..####.#..#.#.#.####.#.........#.#...###...#.##.###.#.##..##.#.#..####..###..###.#..##...##.###...#.##.#..#...#..#....##.#.##.##.###.#..##.#
...#.#..#...##.#.#....#..#......###.####..#..##.....##.#..##.###.#.##..##...##..###.#...##...#.#.###.##.###.#.###.##...###.#.#...#......##.#.####..####..###.#..####.#.####..#...##..#.######.##.####.#..##.##..####....#####.#..#.##.#...#.#..#.###....#.###..###.#..#....##...##..##.#.##.##.#...###..#.##.#.###....###..#..#.#########.##.#.##.###..##.#..#####..#.#........#.##.##..##.###.#.#.#######....#..######.####.#....#....###.#..##......#####..#.....#.##.#..##.#.###.###....####.###..#....#.###..##.####.#....##.###..##.######..........##..##..##.#....#...#.##.###...#...###..#.#...##...#.#.##.#...#..##.###..#..####....#.#..##.######..#..##...#.#.#..#.###..#..#...#..#.#.###...#...##.#.#####..##...#...##..#..#..#...##..##.#..##.#.####..#.#...##........#..###.#.#####..##..#...##.#..#..########..#.##...#.....#.##.#.#.#...###.#.##.####..#.#.....#......#.#.#..##...##.##..##..##...#######.#.....#..#.#.#.##.###.###..#..#..####.#.#..#.######....#.#....###...###.#..###.#...#..#.###..#.######.#......##..##.###.#..##.###..##......#....##.##.....#.##..#.#...##..#..#.....#....#####.##..#.##....#......#..###..#.##....##.#.###.#..#.#.#.....#...#.##..#.#.##.....##.####....#..####.#...####.#..#....##...#.##.##.##.##....#.#..#.#.#.##.####.#..##..#..###...#.##..#.#.#...###.#.##..####.####...##...#.#.##......####.####..##..#....#..##..#..#.##..##.####..##..###..#.#.##..#..#.....####..##.....#...##..#.#.###...###...##.#.#....#.######......##...#...#..##.....#.#.##.#.....#.##.#..###....##.....#...##...####.#.#..#..####...#.###.#.#...##.###..##..#.#####...#####..#..#....##.###.#.#.#.##.##.##...#...#.###.....#.#.##.##.###.###.##.##..#.#.###..#.....#.#..##........##..###...##..#.#.#####...###############..#########..#.##.#.....####..##.###.#.#.##.##.#..###...#.##.###.....#...#..##....#.####.##...###.#.#.##.#..##.##...##.#..#..#.#...##.#.#.##..##.#..#.....#...#..#..#..#.#..##...#...##........##.##.#####.##.#..##.#.##...#.###.....#.##...#..###..#.#..##...#..#.##.#.#.##....#.....#..######..##..#....
##...#####.##.###.#.###..#.#..##..#.#..#.#.#.#.##.#.##....###.##.......#...##..#..#.....#####.....#.#...##...#####..#.....######..#..#.###.....##.#..##........#..#.#.#..#.#.###.#...##....#..####.#..##.#.#.....#........#..#.#.#..#.....##.#.#..###.#......#.#...#........#..#.####.#..#....#..#.##.#.......#.#.#..##..#..#.##.#######..####..###.##...##.###.##.###..#..#....#.....#...###..#..#..##....#...#.###.#.###.#....###.#.#..###.#..#.#.##.##.#..###.#.#.##.#..#.....##.##...####...##..#.#.#...#.##.####.#.####.#..##.#.#..#.###..####..###..#.###....###..#.#............##....#####.###.#.#.#####..####..#.#####.#####.#....###.#####.#..#.#.#..##.#..##.#####.#.#...#.#####..#.#..##....##.#...###.####.##....###.######.##..#.####..##.##.#.##.#....#.#.#..#.##..##...#.###..###.#...#...#..#.###.##.#.#####.#..#.##..##..##.#.#.##.######..##...###....#.#..###.###.#..#.#.#....#..#....#.##.#.#.#.#..##..####.###.###...##.##.....######..#.###..#.####...#.##.#..##..#.###..##.#...##.##...#...#...#.#.#.#.####.#..#...##..#.##.#.#...##..#.#.####..###.#.#..#......####.####.#.##.#.#...###.#.##.##.....#...#.#######..#.#........##....###.#.###.#..#..#....######.#.#.##.####.#.#..#.....###.#........#.#.#####..######.#.....#.###.#.#..##..#.###..##...#..####.#.##.######.####...#..##..##..#..#.#..##.######...##..######..###.#..###.#..###.##.....#####..#.#.#.##.###.#..##.....##..##..#######.#####..##...##..##########....#..#.####.#####.####.#####...##.#...#.#.##..###...#..##..##.#.#....###.#..##....#..####.......##..###...#.#..#.###......#..#...#...#.#####...##.#.#.#..###....#....#..#.#..#..#.#.##...##..#.###..#.....#.##.####.#.#.#.#.#..#.##..#.##.##.#....###.###.#...#.#.#...#.#..#..####.#..#..##....###.#.....###..##...#.....#...#####..###..##..###..####...###.##..###.###.#...#...#####...##.###.....###.#......#.#.#......#...##..#..#..#..#####..#..#..###...#..#..##..#.##.#...###.##.#..#.....##.##....##.#.#..##.#.##.#.##.#.##.###.#..##.#.##......#...##..#####.####.#.....#####....#...####.#.#.#####.#...##..#.
##.#.#.##.###.#..........###.##.....#.##.##...#.##.####..#.###.###.#####...#..###.......#..#####..##.#.##....#.##........#.#####..##.#.....####.##..#.###.#....#.###.#....###.#..####....###.##..###.#.#...#........###.....##...##...#.##..##.######..#.##.##.#..#..#.....#.##...##.###.###...#...##.##.#.#.#.#..####.#..####.###....##..###..#...#.....#.###.##.####......#.##...#.#.#..#.##.##......#.....#.#.##.##.###....#.####..##...####.####...####.######.#.#..#...#..####.#.##.####.##.##..###...##.###..#..#.#..#...##....##.##.#.#########..#.#..#.######.#..#..##......#.....###....###.#...#...#.##.##..#.###...##..###...#.##...#...##.......##.#..#..#..#######.##.........###...##...#####.##.###.#.##..###.#....##..#...###.###.####.....###..####.#..##.#..#..#########.####...#.....#.....#.#.#.#..##.###.#.....####..#..##...#..#....##.#..##....#.##.#.#..#...#.##...#..#.##....#.##.##..#...###.##.###.#.#.#.#..#........####...#...#.###..#.#..####..###.######..###...###....###.####.......##...#..#.#....#..#..#.#....###.#....##########.#..####..#...####....##.#...#.#.####..#.##...#..###....#.##.##..##..##.#..#####.#....#...##.....#####.#.####..#.#..#.#.#..#.#.#...##..##.##..#..#...###..#.#.##..#..#####.#.####.###..#####..#.##..###..#.#..#.##.#.#.#..##.#.....#....##.#.###.#.###...##.#....##..#.#.##...###.#..#...###.###..#.####..##.#.#.#.#..##.##.####.##.###...#.#.......##.#.#####.#..###....#.#....#..#...##..##.#.#..###...#.#......#....#.#.#.###.##.#.##......#####..#.##..###.#.#.#.#...#.##.###.#####.##.#.#.###....##..###.###....####.#.....##.#.###.#.#...#.....###..#.##...#.##...###.##.#.##.#..#....##...#.#....#.#...#.##.#######..#.##...##.########.#.##...#...##.#..##....##.#..###...#.#..#.#.#..##.#...##.#.##.##.##..####...##..#..#.##...#........###...##..#...##......#####.#..#..#.#.####..#.....#####.###.#....#....##.##.###...####..#.......#..#..###.#.##...#......#.#.#..#...#.###.###...##.####..#.###..#.#....#.#..#..##.#.##.#...#..#..#.##...#####...####..####..##...####.....#.#....#..#..####
##.......#..#.##.##...#..#.#.#.####...######..#..#..#...##..####.....##..###.######..##.#.#.######.##.#####..#..#....#...#..#.#.########..#.##..##.##.##..#..#.##.....###...###...#..##.#.##....##..##.##.#.#...#..#...#...#.##...#.#.###.#...#...####....##...#..#....######.#..##.#..#..#.##...#.#.##.###..#.#......#.#..##..##..#######.##.##.####.##.#.####.###.#..#......#..##.#..#.#..#####..##..#..#...#..##....##........###.##..#..##.#..###...######.##.#..#..###.##.#####.....#.###...#..#.##..#.#..#.#......#..#.####..###.#.#...##..###..##.#.#...#..##.#.#..#..#.###.#.#...#####..##.##..#.#..#.###.#.#####.#.##.###.#..##..#....###..#.####.##.#.##..#.##.#....#..##.#.#.......###..##.#..#........####....#..##...#.##..##......#..........#.#..####.###.#.##..####.###..##.#####..#..#.....#.##.#.#.#..#.##.#######.#.###....#...#.#.###.##.#.#...#.....##.#....#..###.#.#.#..##..#.#.#.###.#.#...#.##.#....###.####.#...####.#.##...#.###..#.##.#........###.#.##...##....####...#..#..#.........####.#.#...#########..##....#.#.#.##...#..##......##.#.####....#.#.#.#...#.##.##.....#.##.#####..###.......#.#.##.#..###..###...##.#.####...##.#...#######.#.####..##.#.#..#.#.##..#.##......##.####.#.#.###...###.#...##.#.#.##....##...####...###..##.#..#..##.#..#.#####....###..####....##..#..####.#.#..##...####..##.####.#..#..##.##########..#####....#.#########.####..#......##...#.##.#..##.##..#.##.##.......#######.#..#..##..##.....###.##.#######..#######.#.#.#.##.###..#.###.#..####.#.##..#..##.######.##.#...####..##.....#.#.####....#..##.#......###.#...#.#.##.##.#..#.##.#..#.....###.##.#....#....#.....#..#..#.###..#.#.##..#.#.#.#...#...###...##.#.##.#......####.#...#....#.#......#..#...#...###...###..#.#....#.#.##.##.....##.#####.##...##.#..#....#.#.###..####.##.##........#.##..###.#.#.#######.#.#..##.#......#.###.#..######..##..####.######.#...####.#....#.####..#.#.......#.###.##.#.#######.###...#...#..##.##.#..#.#.##.##..##..#.###.###.####...####....#.....######.#..#..######.#.#####..###..##..####.#.###.#
.##.#.###.##....###..#..#.....#.##....##..####.#.##.#.##...#.##..##.##.#..#.......#.#.##.###.#..#.#..#########...###.###.#.......##..#.##....##.....###.#..#.#.###.##.#...#.####.....#.#...##.#....#.###.....##.#.#####.#.##..#.#..#.#.#..####..#.#######...##.##....#.#.#..##.##.#.##.####.#.##.###...#.#.#####...#.#.#...##.#....####.#.##....####..##.#...#.....#.#..##..#####...#.##.#.##..#.#.#####....#..###..##.##..##..###.#.#.#.#..##.#.#.##.####........###....#..#.#..##.##...##.###..##.#...##.#####.#.#...#....###.#.##.#.###.#...#...####.#####..#.#.#.#.#..###...#.#####..#.#####...#..##.##..#......#..#..##.#...######...##.##...#....#.#...#######..#.#..##...##..###.#....#...#..#.#..#....#.#####....##.##...#.##..#.#.###..######.#...###..##..##..##.#.##.######.##.....####.####.#.#..#.....#......###.#.##.##.#.#.##....###..###..##.#.#...#...#..#.##.....##.##.#..#..##....##.##.#.#..###..#.#.#..#..##.##.##..####....#..#..#.##.#..##.##.###..#.#####.........#..##.##....#.#...#...#..#...##..##.##.##.#..#.###..#.###.#..#########.#.##.####..#..#..#.#.####...##..#..###..####.##.###.##.#...#...####.##...#.#.#.###.......######..#.###...#.##...###......##.#..##.#..#.#.#.##..#..##..#...#####..######.#...#.###.....#.##.###...#.##...##..#...#..###..###...##.##...##..##.....##..#.##..####.###.##.###.#.##..##.#.#.#..#.####.#.##..#.###.#..#....##..#..##...#...###.#.#.....#..##..##...#.#.##.#.###.#...#.##.#.###..#..#.#..##.####...##.#.#.#.#.#.###..##..#.#.##..#.#...##...#####..##.#....##...#.........######.#####.....####.....##..#.###..##.#.##..#.#..##..#.#.##...#.###........#..###.###.######...#...##...#..####..##...#.#.##...###.#...#....#.....#..##.#..#..#.#....####..#.###.##..#.##....#.#.#####.#.#.#.#.#.##..###.##...#.##.#.#..#......####.##.###..##..###..####..##.###.......#.#...#.####...#.#######.##..##...#..#..##.#.#..##...###.####.#.#..##.#.....##..#..#...#..#..#.######.##...##.##.##.#.#.##...#.#.#.#..###..#.####.#...#.....#..#...#.#####...##.......######.#.##.....##.###.##..##.##.#.....#.#.
#.##...#.###..########.###....##.##..###.###..#....#.#.#..#..#..##.####.####..###..#....#######.#..#.#..#..#.#...###.#..####.###..#####..#....####..#.#.....####.###.....##..##.....#.#####....#........##..##..##..##.####.#..##.#.##..###...#.#.....##########..#.#.##.####..#...##.....#.#.###...#.##...#...#.###.######...#.##.#.##..##..#..#.###..#....#..#..########.##.####...##.#...#.#..#.#..#####.##.##...#####..###...##.#.##..#..###.###.##.####.##..##...###...#.###.#.#########..#....#.#.##..####..##......###.##...###.#.#...#.#.##......#...####.#.###.#.#.#.#..#.###..#.###..####.#..##..##..#..........##.###.#...###.######.#.#.#.###.#####....####..###..####....##.##..#.##..##.##.......####...########.#.####..##.##....#.##....##.##.##.#..#...####.#..#.##.#####....#.###.#.#....#..#.#.##..#..##.##.........#.#.####...#.###.######..#.#...#..##....###..##.#..##..##.##.##.#.#.#..#.#.####..##..#..#..##...###.#..#.######.....#...#.####.#.#.#.#.#.#####......#..#...##..#.###.####.#....###.#..#...#..#####.#######..##...#.###.#..###...#.#.....#.#....#...##.#..##....#######...####..#..#.#......#...#...######.##.###.#.##..###.#.####....###....#..##.#...#.#.##.##..#.....#.#..#.#.##..#.####..#...#.#..##..######.##.###...#...#..##.#.#####.....##.##..#.#####..#.###......#.....#.##.#..####.##..#..#.#.#.##.#....##....#..###.##..#.#####.#.......#...###.#...##...##..####..##..####.#.#.######..##.#...#.....#..##.#.#....##...##.##.#.....#.#..####..#...##.#.##..#####..#.#..#.#.#.#.###..#..##..#.#.##..###....####..###..#.#.###...#####..##.#.###...##.#.....#.#...#.#.####...##.....#.##.#.#.#..##..######.###....#..##.#...#.#.....##...##.#.#.#....#.##....#....#.##.####......###.#.....########.######....#.#####.##..##.##.###..#.##..###..##.####...##.#..#...#..#..#####.....##.#....###...##...#.#....#....#.#.....#..##..###....#.###.#.##......#.#.#.#..###....#.#.#.##.#..##.#.###.#.#.###...#...#..#..#..####..####..#..#.#...##..#..#####.#.....#.#.###.####...#####....#..###..###..#.###..#.##.#..###.#.##...####
..##.#.#...#.##...##.#...#..####.##..##.#.###..##.##.#..#...##..#.####..##..########....##..#....##.##.##.#.######..##.#.#.##.......#.##.####....#...#.#.....####..##..##......#.#..###......###.###.......#.....###..#####.#...###.#.#.##.##.####..####.####.###......###...#...#...##.#.#.#.#######...##..#.##..##.###.##..#..#.....###.#.#...###...#.....#######.#...##.#.###......###....##.###...#......##.....#....#.#.#.#....#..###.#.#.#.##.##..#.......#.###.#.#..##.###...#.#.#.###.##....##.#.#.#..#...#..##.#.##.############.##...##.###.#....#.######...#.#..#.###..###..#..##...###.#.#######.##.###.#..##.....#..##.####.....#..#.#..#.....#.###.#.##.#...#....##.####.#.#####.#.#..######......#.#####..###.#####.#.#..####.#.#.......###.#...##....###...##..##.#..##.#..######...#..#.###..#####.#.##..##.......#..#.....#.##.....#.#.####...##.###.##....##.##...###......##.#.##.#.#####.##....#####.#######.#.####.#..#####.#.##..#..###...#....####.##..#.....#..##...####.####......####.#.###.....#...#....#.#....####..##.##.##.......##....#..#.##..#####.##...###.###..########.#.##..#..##..##..##.....####.#.#...#..#..#....#..###.##.#..###.#.####.###....##.#..#.......#.##....##.###......#.#....#.###......#....###.#.#..##.#.#...#.##..##.#.#.#.....##..#..########.....#.#..#.#.##...#...###.#.#.#..##.######.#....#######....#.##..####.#...#.##.##.#.##.###..#.##.......###...#..####....##.###.#.#....##.##...##.#.#..###.......###.#...######.###..#.##..##....##.#...#######.....#..#.#...#.###..####..###..##.....###..##..#..#..#..##.#...##.#.##.#.#.#..##....#.#..#.##..#...#.#......#.##.##..#...#....#..#...#.#.#..#..####..#..###....#.##.##.....#....#...#.##...##.####..#.##........#..####.#.##.#.####..####..###.#.###..#.....####.####.##########.#.##..#.########.##.#..##.####.#.##.#.####.##.#.#...#....####..###...#..####...##.#...#####...#...###.###.#.##.#..#..##.#......#.#...#.####.####.#..#####.####..#..#..#..###....#..#..##.#.####..##..#...##...####.##.###..##.....###.##..#.###.#....####...###..####....
.####..##.#.#..##.##.#.#..####.#....#..########.#.###.#.#####..####.....##.##.##.#.#.##..#...##...#.##.#.###.##.###..###..#.####..######..#.##....####...#..######.###.#....###.##.#..#.#..##...#.#...#.#.####...##.#...#...####...#.#.####.#.##...#.#.##...##..####.#.#.....##..#...####.#.##.##...#.#..##..#.#.##.#.##.#..#.##......##..##..#....##..###..#..#.#.#.#.##.#..#...####..#.##....#..######..##..##.##...#..#....####..##.....#.#..#.##...##.#.#.......#..#.#...###.##..#.##.#...#.##.#.#.####...##..#.#..#.####.####..####.###########.......##.#..######.##.#.#.##.##...##.###.##.####..###.#..##.##.#####.##.#######..#.#....#.#....#.#.#..######..#####.#.##.#.#.#.#...###.##..###..#####.#...........##.#.#.#.#.......#..####...#.....####.##....#..##.#.##.##..#..##....#.##..#.#####.####.#..##...#.##.#.......#..#....#.#....##.#..#####...#..##..#.#..#...#.#...#####.##...#.#.###.##..##.###.#.#..#....#.#####.####.....#####..#.###..#.##..#####..#..#..##.##.#####..#.##.##...###....#######..#.....##....###.#.....###..#.##..########.#..##...#..####...#..#.#.#..#.#.#.#.######..##..##..#.##.####....#......#.###.##.##...##.#...###...#....###..#...##..........##.....#.###.....##.##...#..##..#.#..#...###..###.###....#....#...#.#..##.#.##....###..#.#..#...#.##.#.#.####.#...###..##.###..##.#.##..##.##.##...#########..##.#..#.####.##.........#...####.#.#..#..##.#.###.##.###..###..####.............###.#..#.##....#..#.#.....####.##...##..##.....##..#....#.##..#...#.#......#....##.#...#...###.#..#.#.#.######.#.#.###..#.##.##..#...##...##..#...#..#...#.#.##.#.##.#.#....##.##.##..#####.#.#.##.#.#..#.#.#..#..##.#...#..#...####....#.....###..#.#.##...#...#.#...###..#.###..#####...##.#####.#..#...#.........#####..#...###..##.##.###.########...#.......#.##.#.####.#.....#..#...#.##.....###...#..#####.#..##.#......#.##.#..###.#.....#####...###.....#.#.....###....#.#.######..#.###.###.##.#.#####..#.####.....#..###.##...###.#.######.#.######.##.#.##.#.###..####.....##.#..###.#.....####.#.#...#..##...###...#.#.
.......#....#...#.###....#..#...#######..#.#.#.#..##.....#..##..##.#..####..###..#....##.##########..........##.##.##..#.#...##..##.###..###.##..#.#..#..####.###....#.#####..##.##.#..#####.##..#..####..#.#..###.##.##.##.##..#.#.#.#...##.#########.#.#.#....#.####.###.##...#####....#..#..#.##.#.###.#.###.#..#..####.#....#...#...#....#..###...##......####....#.###..####...#####.#.##....###......#..####.##...##.#..#.#..##.##.#.#.#.#.#.#..###..#.##...#..#.###.....##.##.....###..#...#..#....##.###.####.####...#.#.######.###.##.###.##..###..#......##.#.#..#...##...##.#.##...#.#...###.###.#..####.####..####...#.#.#....#.#.##....###....#.#..#...#####..#.#.###......###.....#.#.#.##.##.#.##......###.#.######.##..##..#..#.##.#.##..#...##.##.#...###....#.##..##..###...###.###.#.#.##.....#.#...#....#####.##...#.#....#..#.#..#..#####...#....#.#..#.###.##.....#..##...###...#...#####.###...#.#####.#.##.###.##.#.#.##.#####.###....##....###...###.###....#....####.##......#..###.#.#.##.##.#.........#..###.##..##..##.#.#.###.##.#.##...#####........#.....#.#.##.......######......#..##..#.#...####.###.#...##.#.....#.####..#.#..#.##..####.....##....#.#.#....#.#.....#.#.#....#.##.#.#.#.#...#.###...#.....###.##.##.#.###...#.#........#..########.####....#...#.#.#.#..#########.####.#.##.######...###..#...#...##.#.#...#.#..#####..##.#.#.##......#.#.#....##.##..#.##.####.##.#.##...#.##..######...#...##..##.#...#.#..##.#..#.#.#.##.#...#.##.##..#...#.##.####.#######..##.....#..###....#..####....#.....###.###.#...###.#.###...##########..#.#....##........#.#.#.##...##.##.#..#..##....#..####.###..#.#..#....###..#.##......#.#...#...####..#..#.#..##..#....#.########.###.#.##...######...#..##..#......#####.......#.####.....#.###.#..#.#...#.#..####.##..#...#..#..#######.......#.#...#.###..#..######.#..#.#.#.#...#..##.#.#....###.....###.##.#..##..#....##.#...#######.##...##.##.....###...####.#.#....#.##.##.####.#.##...#.####..#...###..###..#..#.#.#.#...####.....#.#.#..#...#..##.#.#....###..###....##.#..##
..##......#.##.#.##.#....#..#..#.#.##..###.##.#.###.##.##...##..##.#..##......#.###.#.##....#..#.##.....#.##..#......#.###...#..#....###...###.##.##.#.###......#..##.#.#..##.#..#...#.#.....#..###..#.......######.######.###.#.#.##.....#.#..######.#.#.####.##...#.####.....#..#.#....#..##...#..##.####.###.#..###..###.#...##..###...#.#.###.#.#.#.#.#.##.#.####...##.###.#####.#..#####.#..#.#..##.#####.#....###..#.#..####..#...###..##.#..#..#..###..##.#...##...#.##.##.#.#.#...##########.#.#...#.#.#.####..##.....#..####.##.#..#.......#..#....##...####.#.#......##.............##......#.....#.#..##...##.#..##....#.##.#..###.#...##.##.#..#.##..#.###.##.##...#...##..#####.###..#.###..##.#.#...#..###.......#.#.#...####....#####...#.#..#....#.......##..##..###..#..##.#.###..#...###..##.......##.#####...##..####..##.##.....###...#.#.####..#......##.#...#########...#..###..#...###.###..######.....#......#.#..#..##.##.....#.....###...#..#####.##...##.###.#####.........######..#.##..#.#...#####.##.....#.......##.#...#.##.#.##..##...####....##.#.#.#.....###.#.#..#...#.###.#...###.#.##.##.....#####.#.####.#..##....#.#....#...#.####....#.#.##.#.##.######..###.##.#....#..#####..##.....####....######.##..###.##....#...#.#.#.##.#.#.#....##.#..#.##.#.##...#.......#.....######...##....##...#.#.#....##.#.##...#.#..#.#.#.#.##.##..##....###..#.#.#.....#........#..###.##.....#.#......##.#...##.##.####......##..#.....#.#.#.###..###.#..#..##.###.##.#.###...###..###.##.###.###.##....##.#...#..##.#...##..#.######...##.#..#..#####.#...#.#........#.######.#.####..#...#######...###.#..#.#.#.....#.#.#..###..##.##...####...#...#..#..#...####..#.#.###...###.##..#..###..###.###.#.####.#.##....###.#..#.#....#####..##...#.#....####.##..#.....#.##.#.#.#.##..........#.##.#..#..#...###.##....#######....#.....##.##.#.##.#..#########...###.#..####..#.#.##.#....#..##...#.#..#...#....######...##.#..#..#.##..######..####.#.####.##.#..#.##.#....##..####.#.#.###.##..#.##.#.#..##..###.#.#.#......###..#...#....##..#####
#.##..###.#.#......##.#..#.#.##...#.###..#...#...#.###.......#.######..#####..###.#.#......##..#...####...###..#..###.#..#...##.####........#....#.##.#..##.#...##.#.##...##.....##...##...##......###..##.#.#.#.####..#...######.#....#.########.##.###.######.#..#.#...#.....##.#..##.#.#....###..##.#.#..##...#..#####.########.#.##.##......#..#..##.###.##.....#...#####.#..##.##.###...##..#.#..#.#..#.####.........#.#.....#######...###..###.#######..#..####.#..#####...##.#...###...#.#.##...#....####...##..#.#.#.#.###...#..#.###..#.#.#...#.##.##.###..##...#...#...#.####....###.#####..#.....#..####.#...#####.#..#..##..####.##.###.#.#..#.##.#.##.##....#..###...#..##...#.###.#.#...#..###.#########.##....#.###.##.#.#..#....#..#..#.##..#....#####..#..####.#.#...#..#.#..#....#.##.#..####..##.#.#..###....###.##.####.#.##.###..#####..#..####..##.#...###.##.#..##.####.#.....#####.#.#..#.##..##....#..#.#...##..#.........#####......#.##..#####.###....#...#.####..#.#......#...####.##..#.###.###.##...###..###..#.#.#.####....##...#.#......#....#..##.###..####.####.....#...#####..###.#.....#.......#..##...#.#.#..##......###......##...#...#....##########....####..#..#.###...####.##..#.##.#...#.....#.#......###..#...#.##...#...##.##.##...####..##...#.#..#...########.#.##...###.#...##.#.#.###..#####.#.#.#.##.###....###..#.....#...##.#.###.#...#..#.#..#.#.#...###.#...#......#.###.#.##.#####...#..##...##.#########.#...##...##..#.#..#.#.#.#.#....####..#.##...#......##.....#.......#.#...####...###...####.#..#......###.#.....#.##......##.#.####..####...#...#...##.#..###.##...#.#.##.####.#.#.#.#.....###...#.###....##..#.#.#..##.#.##..###....#...#....#.#..#.#.#...#..##..####.#..####.#.##..###...##..###..#.##..#.###..#....##....#....#####.###..#..##.#.###..#.###.#....###.#.#.##....#.###....#.#.#..#....#.#..#..##.#.#.#..##..#.#.###.##.#.#.#..##..#.#.#.#.##..###......####.#...##.####..#...##.#....#..#..#...#..##.#..##....##...#..###.##..#.#...##...##...##.###..#.....##..#..#####....###..#.#.##..#.##..#
.#....##...##.##.###.##.#..##..##.#.#.##..#..#.##.###.###.#.#.##...#.##.###..#..#.##.##...#..##..###.#.#..#..###.##..##.##.#..#####..#..##.#.######.##.#.#.#..#..##.......#.#.#.##.....#####.####..##....###..##.#..######.###.#....###.###.##..##....##...######..###.###....#.##.##.#...#...#.#..###.....#.###.#..#...#..#..#.#......#...####.##..#.#.###......#.##..#...#..###.###.#.#..#.#.#.#..#.##..#..##.####..#.##.###.#.#.#..##.#.##..#.#....#######...###..##...#.#.#.##....##........#.##.#######....#..##...##...##.##.#.....####.#.###.#..#..#.###.#.#..#..##.#.##.####..##..##.#####......#..#..#.##.####..####.###...#.#######.###.##.#..####.#.#.#.#######.#....#...#...###.##.##......###..#...#..##......##.#...#.#.#.#.#.#.#...####.##...#..##.##..#..#....#..#.#.######...#..##.#.#########....#..#.#.###.###..#...#########.#..###.#.###.###....#.##.#.###.#...#..#..####..####...#.#.#.##.#.####..##...###..##..#.#.#.########.#.#...#.....###.#..###.#..##.##.##...##..#..##..#...##.#.##.#..#######.####...#......##.#.#..##..#..##...##...#.##.#.#.#.....#####.#...##.#....#.#..#....#####.....#..#.#..####..###.#####.##.#..##########...##...####.####.###..#....####..#.#..###..##.##.##..####..##..#####....##.#.#.......#.###...#####.####.#.#.#..##.#.....##..##.....#.#.##..##.##.##.######.#.#...#..#.##.###..#.###...####.###...######.#....#...#..####.#####..##.#.#.#.###....####.#.#####.###..#..#..#####.##.#.###.#..####...##.#.##.##..##.#....#...#..#.#.....##.#.##..#####.##.#.#.#.....#.#..##..#####....#....##..#...###..#.#...#....#..#..##...#...#.#.....#..##.#....#.##....#.#..#.#.....#..###..#.#..##.#..#.####...##..###..##.###.##....###...###.#...#.###.....##....##.##.##....###..#.#.#..###.....#.####...#.##.#.#...##..####...###.#..####.##.#.....##..##.#.##..###..#.####...#..###.....###.###..#.#.#......##....#####...##...########.#######..##......###.#.....##..#.#..#....##..#..##.####..#.##..#.#.##.#..##.##..####.##.##...#......##..##.########.#.##............##..#####....##.##...#.##...####.####..#.##
#...#...#...#####.#####...#......##.###.#.#######..#...#....##.###.#......##.##...#.#....####.#.#.##.#.###.###...##.#.#.#.#.....###.....#..##.#..##.....#.#.##.###..#.#..#.##.#####.#.##..#......####.##..#.#.....#.#...#......#.###.#.##.....#.##.#..#.#..#...#.######.....######..##.#..#.##.#.#..#.......##.#.##.###...##.##.#.###.#.#...###.###.#.#.##.#.#....##.##..##..##..##.#.###.##...##.####.##......#.#...#.#.##.#.##..##.....#.##.##.#...###.#.##.###...#.#...#...###..##..#..#..#.##.###.#..##.#..#.##..#....#.#..#.##...#.....###.#.#..#.##..###..####...###...######.#..###..##.####..#.....##.#....###.........#.....#.#..###.....##..###.##.###..####...#.....##...#.####..#....#..####.##.##..####..#.#..##.##....###.###.##....##.####..###.#..##.##...#...#####...#.#...###.#...#######..#...#.##.###.#....#.###..#.####.###..#.#..##...#.#..#.#...#...#..#.#.##...#...#......#..###.#.#.##.###.##.#.####.#.#..##.###..##.##.###..####...##..##..##......##.#.##...#...#.####.######..##.##.#..####...##..###....#.##.#####....##.#.#.#....#..#..#.#..#....###..###..#...#.#.#...#....#####..####.#.####.###.###..#.....#.....#..##......##.#..#.....#.###.###.#....#.###.#.#.#....##.###..#....#.#..###.##....#####.#.#.#...##.###.#..#..##.....#.##.#.#...#.#.###..##.###.#.##..##...###..###.##.#.##.#.....#.....#....#.#.###.#...##..#.###.#..##.##.##...####......###..#..##.##.#..#.#.#.#..#....##..#...#.#..#.###..##.#.#.##.#..##.######..#....#.###....#.#.#..####.##..###..#.##.##.....##..#.##.##.##.###.#####......####....######.##.#.#.#.#.#.#.....###.#.#..##.##...#..##......##.#..#...##...##..#.##...##.#..#....##.###..####...#.###.#...#...###.##..##.#..###.#.#.....#..#..####.#..###..#.##..#..###.#.......##...#..##.#.##....#.....#.........#.#..#..#......##.#.######.##.#######..###.##.#.#.######.#.##.#####.....###..#.....###.#.#...#...#..###..#.#...#.##..##.##.#...#...###.....#.##....##.###.###.#.#.#.#..#....#..###.#..#.#.#....##.....###.#.###..#...#..##...#...#########.#.#.##...#.#..#..##.#..#.#....####.##.#......
#.#####....#..##..#...###.#....###...#.#.#.##......#.#....##.#..##.#..###.#####.##..#####.#..#.....#.#########.#.....#...#.#..#.#........##.#..####..#...#...#.#.####..####.##...####.#.#######..#...###...#.#.####.##.###.##.##.##...#..#.#..##.###...###.#.#..##..########.###.#.#.#.##.####.#...#####...#..##..###...#.###..#..#....#...#........#...#.#.##.#..#.##.#####..##..#.#.##...#...##..#######.####.....##.####.#.#...#..#..#.##.##..###.###..#######.#..#...###..#..#..........#.###.#..###.##...#.#..##..###..#.#...#.###....#.###..#.#.##.#...#.#.#..##.#.##.#.#.....####.###.#..#.######..#########.#.######.####.#.####..#.#.#.....##..##..#.###.#.##.###..##.#.......##..#..#.###.#..#.#.#.....#.#........#.#.##...##.....##......####..#.#...#.###.#.#.....#.#.#..##..##..#####.#.###..#..#.#..#...#...#.....#.####...##.##.##..#..##.###.###.....#.##.##.###.#..###.###.##..##......##.########...#.#.#.##..##.#..#.##..#...#..##.#......#...##.#...#..#.#.########.##......#.#..#.####...######.###...##.##..####...#.##.####.#....#...#.#.....#..##....####.#.#..#.#.####.###.##...###.####.####.#...#.#.###.#..#.#..#.#.##......###..###.###.#..###..###..##.####.####....###.##...#.#.###.##.#..#.##.#...##.##.##.#.##.##.#...##.##...###.##..#..####.###.#..###..##...#.#.#..####.#.##..##...##.##..#...####.##..##.##..##.##.#####.####.##.#####.#.....####..#.#...#.#.##....#...#...##.#.#.###.######..#.#..#.#.#.###.#.##.###.#.##..####...#.#.##...###......###.....#.....#.#.#..#.....#.###..##..#..##....##...#...#.###....#..##...#...##.#.##.#...#.#....#######.##......#.....#...##.#..#.###.#.#.##.#.....#.##..#..####.####..###.#.#.#..#####.#.#.#.#.#...#..###...#...#...#.#.#..##.....#.###.#.##.....#.###...##.....##...##.#...#.##...#.#.#...###...###.#..#...###..#..#....#.######...###..##.#..##.##.#.#.#.##.#....#####..##....#.#.....##.#.#..####..#.##..##..#.###.#....#.#..##.##..##..#.#.##.#.....##..#.#.##..####.#######.#....##.#####.#.#..#.##....####...##..#.###.#.##..#...##.....#..#...#####.###.#.....##...####.#.##.##
##########.#######..##.##.###...##.......##.#.#.......##..####.##.###..##.#..#######.##..##....####..##...#####..##...##.##.##.####.###..##.#.##..#.######..###.##..#.#.##.###.#.....#......#...#.....#...####..#..####..#.##.###..#.....#...####....#.##.###.###...#...####..#####.#...#.#..##...##....###.#####.....##.#..###.###.##...##.#....#..##...#.##..#.#.####..#.#######.#..##.##......#.#.....##....##.##..##...#..####.#.####...##.#..####..#####.......#.###..###..#.#####..#.##.##.##.#...#...####.##..####.#...####..#..#.....##.###...#....#.####.#####.#.#...#..#..#..#######.....##....#.........#.....###.#...#.#....#.###.##.....######..#....###.###.#...#.....###.#..#.##......##..#.####.#.#####.#..#..##..###..###......#.##.####.###.##.###.....#.##.##.####.#.#.#..#.#.#...#...#..##.####.##..##..##.##.............#.#..###...#..#....###.###..#####.#...#....####..###..#.#...#..##....##...###...####.#..#.##..##.##.#....#.#.#####.##..#.###.#.####.###..#...#......##.###..#.####..#..#..##..##.##..###.#.#.#.....#.###...##.#####..##..##....##..#......#.#.##.##.#..####...###.###..#..#..#.#.#.#.###.##..#.###...#.#...#.##..#.##..####..##.#..#.#######.#.#..#..#..##.##.#..###....#.#.....#.##.....#...##..#....#.#.##..######.#.#####..###.##.......####...####.##..#.##.##..#.###.#.#...#...##...###.##.##.#####...#.##.###..#....##..###.#####.##.#.#..#.###.#.#.###.#.#..##.##..#...##.#.##..##.#..###.#......#.#...#.##...##.#..#....#...###.#.###.#.###.##...#.#...##..##..#..##.#########.#..##.###.####...####.##.#....#..#..#...###..##.#..#.##.##..#.#.##.##...#....##.....#.##.##..#....#.####..#.#....#..##.#.#.#..#..#..#....#.#.#.#.##..##..####.##.##...#.##.#.##..###....##.....##.####..######.###.#.#..#..####.#.########..#.#.#####...#...#.#.#.##.##.#.#.#.#..#..#...#.#.#.#.#...#.#.#.....#.###.########..#..##.#.....########.##...#.####.....#.#.####..##....#...#...#..###...#.###....##.#.#.###...#.#.#####..#.#.######.#####..#.##.#.#...#..........#.#......####..######.#####..##.####..#.##..#.##.####.#...#...
##.######...#.##..#..#.#####.#..###.#.#.##...#.##..#.....#..###..#...#####..#.####..#..###.##.######.....###.#..#.#.###.#.##..#.###...###....#....#..#.#.##.#......#...#####.#.####.#..#.#.#..#...###.#..####...#...##...#..#.#.##...#.#..#.#.##......#.#.....#.##...##.#..##.########..##.#..####.##.#....##...###.##....###..#........##..##....#..##.##.#..###.#.####...###.#.....##.##...##.##...#....##..#..#..#.#.###...##.##.#...#..##.###.......#####..#...#.####...#.###..##.#......#.##..#..#.##..###...###....#.#.#..#.#.#..#.##.###....##.#.##..#...#######.#.####...#...###.#..##..#.##......##....#..##.##.##.###..#.##.#..#..###.....###.##.##.#...##..###.#.####.####....#.####.#.##.#.#..##.##.#.###....##...##.#.####..##.#..#...#.#....#...###.#...##......#.#.###..##..##..##...#...##.###..#.####...##...######.#.....##..####.######....#.##..#.#.##..###..#.....###.#.#..#####....##.#....#..##.##.##.#..#.....#..#######.#.#..##..##..#....###...##.####..##..##.###...#...##.#.###..#......####....###.#.#.###...#...####..#..###..#.########...#.#..#...##.#.....#.#...##...#.#....#..####.#.#..###.#....#.#..#..#######.##..###..#..##..##.#......#.#..##..###........#.##...#...#.###.#.#.#.####.#.##...#.##....#.#..#.##..##..#..#.##..#.###..###.....##.#.##..####.##..###.#######.###.##.###..##.#..##..######.##.#.#.###..#..#.##.#.....#####..##..###......#..#.......#.#...###.##.####.#..#..#.##.#.####.#.#.#.##.#.#....##.#.###.##.####.#.#####....#.###.##.#####...###.##...#####.####..#.#.#..####....#..##.#.....#..###.#....#.####.##.####..##.#.#.###...###....#.###.#.##..###...#.#.###...#..#.###.#######.####.#.##..#.#.##....####.#.#.#.#.###..#.#..###..#..#.#..#...#.##...###.#..#.##..#..#.#..####.....#.#..#....####...#..#.#......##...#..####...##.#...#.##.#.....#####..###..##.#...##..###.#...##...##.###......##.##.#..#..##...##.#......#####.#.....##..#...##.##...#.##.###..#.....###..#...........#.#####...#..#.#.###......#..##......#..####.#.###.#..#########.#.##.##.###...##.....####.##....#.#..#.#..#####...#
.#..#.#.##.##.#.#..##.#..###.###....#.#....#....##..#.###.#.#####..#.#.##..#.##....#...###..##..###.#.##.#####..####.#.###.###....##...#.#.#..#.#.#.#.###.#......#.##.#...#..#.#.#..#....#..#..#.....#..#..#..####..###.#..#..#..##...##.#.#..#..##.###...###....#.....##.####.#..#.#..##..###...#.###....##.....#.########.###.....#.#...#.##.###.#.#..######.##.....##.....#...##..##...#...#..###.#.##.#........#.#.#####.##.###.#.#####...#....#......#...#.#.######....#....#...#.....#.###....###....#..#..#..#.#.#.#...#.##.######..#.....#.#####.......#.#######.##..#.#.....##....##...#.#.##.#...#...##......#...#...#.###.##....#......#.#.###.#####...#..#######.#.....###..####.#.#.##.#.##.#..#.##.##.#...#..###..#...####.....#.#.###..#.##.##..#.#.#.#.#.#.####.#.####.###....####.##.##.#..####....####.##.##.#.##..##...#........#..#####.#....##....#...#...####.####.#...###...###.#.#.#.###.####.#####.#..#..###.##.#..#..######..#.#.#..#.#.###.#.#.#####...#.#.###...#...#.#..#..###..##...###..#.####....#.##.##.#...#...#.#.##.....#.#..#.##..#.#...#..###.#####.###.##.##.####.##...#.###...##..#..#.##.##.###.##.#####....#.......#..#..###.##..####...#...#####.....##.#.....#.###.#.##..#...#..#.##.#.##..#.###.#.#.##.##..#..###..#..#..#...####.#.#...#######.###...#...###..#.##.##......#.###....###.##.....#.....##....#....####.####.#.##..#...##...#..#.....#.#.##...##.##.#.###.###.......#..###.##.#.##.##.#..#.####....#..##.#####........######.#.###.##.#.#.#..#.####......#..##.#.#..######....#..#.#.####.##.#.#......##..#....##....#...##...##.##.##.##.#..##..###.#####.##.#...###.#.###...#..####......##.#.##.#.#..###.##.####..#.##..#....#.##....##.....#.###...#..##.#..#....###.##.##.##........#.#.##...#.#.......#..##..#.#.##..#.#.#.#.#..#.#.#.##.#.#....#.#######.##..#......##.####.#.....##.##.#.#...#.##..#...##..#...##.##.###..#...##.#######.###..###..##.##..#........#...#.#.#.#.#..#...##.##.##.##.##.##.#....##.#.#...##...#....#..#####....####....#..##...##..#...###..##.####...###..####....#.#.##..##...
#.##.#.##..#..###.#.###..###.#...##....##..#######..#.#.########.##..##.###.####.###.##....###..#.#####.....###..#.........##...##..#.#.##..#...#..##..#...####.##...#..##...#..######...##.###.#..#.###.....##..###...##.###.#.#.##.##......#.#.##.#.##...#.#.##.##..#.#...#.#.#####...#....#.#...#####.####.##...#..##..###...#.##....##.##.##.....#....#..#..##.#.##.##.###.#.#####...#.#..#......#..###...##.###..##.......##....###..#.###...#..######.###.....##..#.########.....###....#.#.##..#..#..##.#####.#.#..#.#.#.#.#.#####..##..#.#####.#...##.##..##.###.###..##.....###.###..##....###..#....#.#.#.####..#.#.###.###.##......##...##.###..##.#..#.....#....#..##.....#.##.#.#.#....##...#..#..#.#..#.##..#.#...####..##.##.#.#####.#.....##..###...####.#.#..#.###..##.#####.#..##.##...##.#..........#..##.####...##.##......#.#.#.#####.####.#.#.#.##.#.##...#.###.#....#........###...############.#.##...#####..#..#######...##....#.#..###..###.#..##.....#..#...#.##.##.###.#.#.##.#....#.######...#.##..#....#.#..###.#...#.#.#.####.###.#####.#.#.#...#...###.##..#.#.###.#.#########..#.#..##....##.###.#...#.##.##.#...#.#.#....##...###...##.#...####..#####...#...###.##...#.#####.##.##.#.##.##.####.#.#...#.#..#.#....##.##.......#.###.#.##..##.####.#.#.##...##..#.#.#####...####.#..#.#...##.#.##.#.......#..##..##.#.#...##.#..#..##..####.#...#..####..#..#.##...#...###.....#.###....#..#..######.#.##..####..####...#.########.###..####.#..#.#.##.##.######..##...#..#.....#.#....####.##.##.##..####...#..###..#...#.#.######..###.##.....#.#..#..#####.##...####...###..##.#.#.#..###....#.#..#####...#.##..#.#....#.#.#.###.#.##.#..#..#.###.#..#.##.##.##.....#..#...##.......##.....######.##.##..##..#...###.#.##.##.#..###.##.#########.#####.#.##.....##....#...####.######.#.###.#.#.#...#.###.#...#.#...#######..#.##.#.#.####....####.#.##......###..#.#..#...#..####...#.#.#.#######...##...#..#..##.#..#..#.#.##....##....##.###.###.##.#.#.##.#...##.#.#.###.#..##.##..#..##.#.#..#....#....#..#.#.#.#..#..#..##.#....#####
#.##.##..####...#.#.#...#.##.######.#...##....#..#.#.##.##......###...##.###.#######.#..#..######......##...#..###...##....####.##.###..#.#...#.##.##..#####.##.##.#..##...#..#....###.#.##....##.#...#..#.##.#####...#.#.####..##....#.#..###.###..##...##..#.......##.#.....#.##.#.#..#.#...#####..##.###..####.##.###.#.####..##.#...##......#####.#...#.........##.#.#.####.#..#.#....####.#.#.###...##...#..######.###.#....#.####.#.#...##....######.####...##.##..##.##......#..####...##.#.##.##.###..#.##.##..##........#.#..#.#..####.####.###.#.##.##.###.#.######..##.....#.#.#..####.#...###.##....#....#...##########..#....####.###..#..#.......#.#####.###.#..#..#.#....#.#.#.#.#..##...#...#...##.#....###..##..##.#.#...#.####.......#..####.####....#######.#.#..####..#.######..##....#.####.#.#..####..#....##...#....##..#.#.##.####..#.#...#....#.#..#...##..#.###.#...#..#.##..##.#.#..##.##.##....#.#.##.###..####..#...######..#.#.##.###.#...#.####.#.#..##.###..#.#...#.#....#.#.#...##...##.###.######....##..#.###...##.#.#...###.#.#...##..##.#..#.##.##.##..####.##.#..###.#.#..##.#.#..###..###.##..#####..##...#.#.###.##..########..##..###.##....###.#.#..#.....###....#...#.##.#.........####.#.....###.#.##.##...###.#.##.#.#.####..#.#####..#..#.#......#..##..##.#..#.....##..##.#.#.#.##.##.#.#.#.###.#.#..#.#..#.#..###.#.#...###.#.##.#.###.....####.#.##.#.#..###..#.###..#..#...#.......####..#...#....##.##...######..#.#...##.#.#..##.###..#..##.#.#.####...###...#.#..#.#..#...#....#####.##..#....#..#####.#.#####.####..##.#....##....#...###..#..#...#...#....##..###.#.#.##.##.#.##...#...##.#...#####...#..##.#.#...####.#..#.#.#.##....#####...##.#.#####.##..#..###.#..#......####.#..#.###..###....#.#.##..#.#..#####.###....#.####.#..#######.#..#..##.#.#.#..##.#...#.###..#..####.###.#...#....#..#.#.#..#...#.#.###.####..#.##.#...#...#.#.####..#.#..#.#.#######.#..###.##......#......#.###.#..#.#.....#.#.##.##....#.....#....##..##..####..##.#....###.##....#.#.##..######.#..#.#....##.##...#..##......#....##
#..##.##....###.##..#.##....##..#.##..#.#..#..#.......##.##..###.#...#..#.#..##......#....##..##...###..###.#....#...#....##.##.......##.##.#.#.###....###....#..#...#..#.#.###.###.#######....####.##.##.#.##.###...###.##.#...###...#..#...#.##.#####.#.#.##.####.##.###......#####..#.###.##.#...#..##.##.#####..##.#.##..#.###..###.##..#....#.....###...##.###.#...###.#..#.#.#####...##....#.........#....#...#.#.##..#.#..###.##.###.#.#..........##..#..##..##.#..##....##.###.##.#.#...###.#.#..###..###.##..####....#..##.##.##.#.#.####.....##....###..#.####...#...#..###..##.#.####....#..#..#..#####..##.#####.##..#######....#...###.####......#.#.#..#.#####.##.##..##.#.###.###...#.....#....#.#..#.#.##.#..###..#...##..#.##....###.####..####....####.#.###.####..#.....###......##.#.#..#.######...#....#..##...#..##.##...#.###..#.#..#.#..#.#.##.#....#.....#..#..##....#######.###..##..####.#.###..##.#...#..#.#..#..#.##.###.#..##.#..#####.##.#...##.#.#..#..#.####.##..####.###..###......#...#....##...###...##.##.##.#..#.....#####..#.##.##..##..###.#..###....#.###.##.#.######.#.....#.##..#.##.###.####.#..#.#..#####.##.##..##..##.####.#..##.####..#.#...#..#.#.##.###.#....#....#.##..#####..##...###.####....#..###.....#.....##.#....#...#.......###.....####.##.#..###...##......#..#..#.#.#.#######.#.##.#..#....##.#.#.#####....##...#.##....#.....#...##.###.##...#........##....#...#..#..##...##.##...#..##..##.##.#####..#####.##.##.##..#..#.####.##.#.#.######.###....####.......#...#.#...#.####.##.#..#.####.####..#.#..#....#....##..#....#.##.#####...##.##.####.##..##.#.#....#..##..#.##.##.###.##.###.#...#....#.....###.#..######.#.##.....#.##....##..#...#..##.#.#.#..#.#.#..#..#...##.####..#.#...#####.###.##.#..#.#.####.##.#####.####.#..##...#..#........#.#.#.#.#######.#.##.#.#...#..#####.....######.#.......####..####.#.#....#.#.#..##..#####..######...#.###......##.#...#.####..#...#..#..##..#..#.......##..###.#..###..#....####......##..#...#########..#.##..#......###..##.#.##....#..#####.##.#..#.#.
.#.####.##.....###..........##.#..#.###..#####......#..#.#..###.##.#...####...#...#.##.###.#.#..#..##.....##.#..#....###.##.##..###...#####.#..###...#####.###.#.##.#.#.#.....##.####.##....#..#..#.##....##.#.##..##.##....#.#..###...##..##..###.###########...#.#.####.###.#.###...###.#..#.##.#.#..#..#.#.##....#####.#..##..##.####..###...#...#.##...####..#..#....##.###..#.#####....###.#.#.............#....###....#..#.####.####.#.##.###.##.#...##...#.#######.#..#.#.#..#########.#.######....#.#####..###.#.#.#....#.########..##....###..##.#.........#..#.#.#.##.#....##...#..###.#.#.##.#...###.#.#....#..########.##.#....####.#.#..#.#.#.##.#...#######.....#.###..#.#..##..##..###.#####..##...#.#.####.#####.###.#..#.#.######..##..###....####.....##..#..#..##....#..#..#.#...##.##.####.###.#...#..##..##.###...#.#..####.#.#.##..#.#...#....#...#...##.#.#...#..#...#..##..###.#..#.#...##.#...##.#.#..##..#######.##..#.####...###.##.#.#..#...#..######....#.#..##.##.#.#.#.#....###.###..###.#.####....##.#..##.#.##..#.##....#....##......##....####....####.##.####.#.#..#..####....##.#.....#...#.#.##.#.#.#.#..#.##.###.###.####.#...#.###...##.##.#...##..#.####..#.##...#.#..#.#.#.....####..#...#...#...##....##.##.####..##...##....#.###.#####...##.#...###.##.#.#..###.#...........##.####..#..###..#####.###.#.#..##.#...#.#.#.##.##...#.#....#..#..#..#.#....#..#####..##........#.....#.#..####.#.#..####.#.#.......##.#..#...#.#..###.#.#.#####.#####...##.#..####..####....##...###..##.#.###.#..###.#####.###...##.##.##.#.#.##......#..##.....#.....#.#.#...##.##..#.####.###.##....#.#..##.##.....##.##..###....##..#..#.###...###...##...##.#####..#.#..#.#####..####......#.##.#.##.#.....#####.#######..##..#...#.#...#..######.###..##.#.#..#.##.##.##...##.#.#.##.#.#.#..#.#..##.#..###..##.#..###...##.#.####...#..######..#.###...##..#....##...#....####...##..###.#.###.##..#...#.#.###...##.....##.......#...#....##....#.....##.#..###..####......##.###.###.#....#..#.#....#...##......#.#.#..###.###...#...#..###..###
##....##..###.####.#...#...##.##....#.#####.#####.##..#...##..##.##..###########......#..##...#.######...#.###.#.####.#...##.#.###.##..#.#.####.#..#.##.##.##.##.##.#...#.#..#..######.##.###..##..#.#.#...##.##.#.#.#..#.#..####....#..##..#.#.#..#.#..#...#.##....###.#.##....#...##..#.###...#.##.....##..###.##.#.#.#.##.#.##.##..#.....######.#.#.............##.###....#..##..#..#.##...##...#.##.#..##..#####..###.#...##...##....#.##..#.#..##.###.##..#####.#.###.##.#..#.#.#..#######..#.####..#.#..#.#.....#....#..###.##..#..#.#.##.##.....##...#.....#..###.##.#.##....##.###....######.######.###.#.##..#.##.#.#.#.....#...##.###...#.#..##...###########.#.##.#.#.#.##########..#.#......##.##.#.########..#.###.##.##....###.#..##...#.##..#.###.#.##...###...##..##...#####..###.#.#.##.##.#######...#....#####..###.#.#####....###...#.##..###.#.#.###.....####.##.#..#.#.....#.###...#..#.###.#.###.....###.#.....#...#...###.#######....##.##########....####.###.#..##....##.##.#.#.#..####.....#######.##.#...###.....##..#..####..#..##.....#.#....#..#..##..####...######.##..##.#.#...#....##..#.####.#.#...####..##.#..#####.#...##.#..#.#..#######.##.....###..#.....#..##..#.#..#..####.#.#########.##...#..#......######..##..#.#.#..#..#..#.....##.#.####.##.#.#.#.###.##.##..#.#.###..#.##..#####.##..#.....####.####.#..##.#.###........#.....#.#.#..##...####..#..#.#.###.#.#####..######...##..#..###..#.###.#..##..#.##.#.#.##.##.##.##.#.#..#####..#.....#..##.##.#.#..#.#.#.##..#####.#.##..#.#....#.#.#..#....##.###..##....##.....##..##...##...#.##...#..###..#.####.##..###......##....#..#.#.###.######...#.....#..####..#.#.#.#.#..##.#..####.####.#...##...#..#.#.#...##.###.####.##...#.#.#.###..#.##..#..##..#...##......#..###.###..##......#..#....##.......##.#.#......####...#....#.####...#.##....##..#..####.#.....#.#...#.##...#...####..#...#.#...#...##...###.####..###.....##..#........#.#.##.#..#.##..#..#..##...#####....##.#....##.#.#.#..#.#.###...####.#.#######..##..#.###.##.#....#.#.....#####.###.#.#.###.##..
#...#####...##.##.#......#.#.#####.#.#.##...###..#.#..#.#..#..#.#..#....#.#.##..###.##.#...#.#..#....#...###.#.##...#....####...###..#.......#.##.#..##..#.#.......##...#.#.#..#.##..######........##.##..#.#.#....#..##.##....#.#####..#....#####.##.##..####.###.##....#..####.....##...#.#.########...##.#.####.####.#######...#..###.###.##.#.##.#.#.#.##..##...###.#.#.#...#.#..###..#.#.#.##.######.#.#.#.##.#.##....######..#.#..##.#....##..###.#..#.#...##...#.###...###..##..##.#.#...####.#######...#.##.......##...#.##.##...#...######.##.....#..##....##..####.######.....##..##.#.#...###....#.....####..#.#..##.##.#.###..#...##..##..##.##.####...#..###....###...#.##.########..#...#.####..#.#...###.##...#.####....##..##.#.######...#..###....##...###.##...#..#...#..#.#..#.##..##..#..##.##.....#####....##.##..##.##...#..########.##..####.#..#.#..#..#####...#.#####.####..####.#..#.#.###.#.##.#..####..###...#...###..###.#####.#.#...#.#.##....#.###.#..#####.##.#....#.#..#...###....##...##.##.#.#..#.#.#...#.#..#...#..#...#.....##.#.#.#....#.#####.#.###..#.#..#.#.##..###...###.....##.#.#..#.##..###..##...###..#.##.....######...#..#..###.####........######.#....#.###.#####.#####..##..#.#...##..##..#.......#..#....#.#..#..##########......#.#.##.#.#....#.###.#...#.##.##..##.##.#..#..###...##..###.##..#...##......#.#.##..#..###..#..#.#.#.##.####.##..##.#...##.#.....#...##..###...#....#.....###.##...#.#....###..#.#..#....#...#..#.#.##.##..#.#.#.########.#.#.#.###.#...##..#########..#..#.####....#..##..##....#.##..###..##..#.#..#....###.#...##.#..#.###.#..###.###.#....#####.#####.##..#.#.###..#.#.######.#.###...##.##########..###.#.#.....#..######.#####...#.#.##...#..#....##.#.##...##.###.###...#####.#.#...........#.#.####.#.######.######.#.#..#..#.##...###.#####..#..##.#.###.##...##......##.#....###.##.##..##.#.#####..#.############.#..##..#..##.##.#.#######..#.#.#..#...##.####..#.#.#...###..#...#..##..####..##..##.###....####..#######...#....#..######....#....###..##..#.##....##.....#...#
.#.#####.#.#....######.########...#.#.#.#########.#.#...#....##...#..####.##....####..##.##.#.#..#...#.####.#.#.##...#.##.##...#..##..#.#...#.#..#######......###.####..#..#..#..###.#######.###.#.#####.#...#....#.#.#.#.##.####.#.#..##########.#.#..#.#.....#.##.......#.#..##.##.##.##.###.##.#..#...###..###.........##...##..##...#.....###..#..#.####.#####.##.....#..#..####.###...#...###.########..#...##.##.##..#.#...##...##.#.....#...#..##.####..##.#.#.####...#...#.##..#.#...##.#....###.#..#..###.....#...#..##..#.#......#..#...#.#.#..#####....#####..##...###.#####.##.#####.#..#...##.##.##...##........#.....####..#......##..##.########.##..#.#.##.#..##.....##...#.#.#.....#.#.###..#..#.####.####.##.....##..#.##..###...###.#..####.#.##.###.###..#####....##...#.#.....##..##.#.#..##.#..#####.#.#....#...##..#..#.##..#...#####.......#######...#####...##.#####..#.##..#..##.#.....#.#.####.#...##.....#.####........##.#.##.##.....##..###.##.###..##.#.....#.#.##....####.#..##.....####...###.#..#######.#..#..#..##.###...##.###...#..##..#######.#.#.###..#.#####.##..#...###..##...##.#..#...##...#..##.##..##....#.###.##....###.#.#..###.###.##....###..#..#..########.#..##.##.....#.##.####.##....##..#.#####.#.....#...###....###..###.#..#.#.##.###..#.#.####.....#..##...##.#.###..##.......##.#.#..##....####.###....##.#.#...###..#....##.###.#.....#####.##.##..#.##.####....#.#.####.###.####..####..#.#.###.#####.#......####..#.#.#......#...####.##.#.......#..##.#..#.####.###..##..#.##.##.#.###...##.#..###.#.....#.#.#..##..###.##..#.####.####.##.##.#.#.#..#.#...###.#####.#.##.#.....#....#.....#..#.#.##.###.......###..##..#.##..#####.####.##.###..#....###..#.#.###.#..#.###.##.###..#...#.####.#.##.##.#....#..##.#....###.#.#.##.#####.#..##........#.##..#.###.#.#...##....#.###..#...##.##.#.#.#..##...#..####...#..#..##.##......#.....#..####...#.##.#.#.#..######.######.####.#.#.#....#..#..#.#####...#.#.####.##.###.##...#...##..#########..#.######.#.#....###.#.###.#...##..####.#..######.#######.####
.########...##.##.#.#.##....##.#..........####..#........##.#..#.###..#.#....##.#.#.#.#.....#....###.#.....###...#....#..#....#.#..##.....##...#.#..##########.#..##.#.#.#..#.....#.##.#.##.#.#.#....#.###.#.##.#.###.#.#.....##.#####....#........##....#######.#..##..#..#..###.#..#....####.#.##.#.#.#.#...#####.##.....#..###..#...#...#.###..#.#####.##..##.#..#.##...#..#..##...#..######...#..#.##.##......#.##..##.##..#.#.##....#.......#####.#..#.##.##.#....#.###.#.#.#..#..#.####.#.#..#.###..#......##...#..#.###.##.#....###....#....#.#.#..#...#.#...###.#.##.#.#.#.##..#...#...#..##.#.##.###...##..#......#.#.#.##..##...#....###.#.#.....##.#...#..####..#....#..##.##.##.##.#.#..#....#####.#...#.##..##......#..##.#..##...#.###.#..#..#.#.##.#.##......##...#.##.#...##.##.##.##.....#..#.#.###........#.##.##.#...##.#.##..#.###..###.#####.#.....##..#.#.#...#.##.##.##.#....#.##..#.#...#..###.####..#.#.#####.##..###.###.#.##..###.#.#..###..#...#.#.#.....#.#....###....#.#..#.#.#.###.##....####.#.##.#...##.#.###..###..###..#......##..#...###......###....#.###.#........#.#.....###....#.#..#.#.#.######....##...##.#...###..#..###...#..#.###...##.####.#.#...#.#.#.#.......######.....##...###.##.##.#.#.##..#.#...###.##..##..##.#.#...#..#...#..#..###.#..##.#######......#..###..####.#.##.###.#.....##...#.....#...##..##....##.....#.##.#...#..#....#..#.....#..#..#.#.##.....#...##.#.#####.#...##..###..#....##..#....##.#####.####......##.####..#.#####.#...#...#.###.#......########...###...##...##.###.####....##.###..##.#...#....##...###.#.#.......#...###...##...#.#...#..#..###...#....#..#####.####..#.#...#.##..####.#..#..#.#.#..##..#.##.##..#..#....#..#..#.##.#...#.#.#.#####...##.#..##..##.###..####....#.##.#.....#..#....#.####....###..#.#..#.#..####..##...#######..#...#.##..#.#.#.#..#.##..#.###.....#...###...#.####..##....#.##...####...#..#.#..#.#..###.##..#...#..##.######..#.####..##..#.#.######..#.#.##.####.##.##..#.#..###.#.###....#.....#.#.#..#.########...##......#..##......#####..#.#.##.#....
####...###.#..#..#.##..#.#####..#..#.#.#.##.#.#...#...##...##..#.....####...#.#..###.......####...#.#.#.#.#..#.###...##.###..#..####...#.##......#...#.##.#...##...#..#.######..#####.###.###.#.####.##.#######.##.....#####.###.#.##..####.###...###..##..##.....####....#.#.#....#.#.###.#####.#....#.#.#...##.####....###....##.####..#...###.##.##.##.#..#..####....#.##.#..##.#.#########.#.##..#.###..#.#..##.....#.#.#.###...#.#.######.###.##...#..##.###...##.#.#...###.#..####..##.##..##.#.......#..###.#.#####.####..##..#.#..#..#####.#..##.#.#.##.##.#.###.###..#.##...###.#...#.##..#.###....#.#...##.##.#.##...#.#...##...#..#.#..##.###.#..#..#..#.##..#.#....##..##..#...#..##.####...#....####.#..##.#....#..######.#.##.###..#..#....#####..##.##.###...##.#..##.#..###..#.###..######..###.#.#..###..##..##....#..#.###...#.....#.#.#.#..##...##.#####.#...####.#..####.####...#.#.#....##..####.#.##..#####...###.#...#.#..#.##.#####..##.#..###.....###.#...#..####...#.##..##..####.#.##....##..#...#.#.#.....##.###.###.##..##...###......#.##..#...#...#.####..#...#####.#...#..#.##...#.####.##.###########.#.##.###....#..#.#.####.##...##...#..###....#..#.###...#..#..####.##.##..##....#.#..###...#..#..##...##..##.##..##.#...#.#.....##.###.#..#.#..#...#.###.###.##.###...#...#####.##.##......##..##.##..#...#######.#.##.#.#..#.....#..#####.##...#...#####.#.....##.###.#..##.#....#.#..##.....########.....##..#..#####..#..#.##.#####...##.#..##.#.#.##.#.##..##.###.#...#...####.###.#..#######..#..##.#.#......#....####.####.#.##.#.#.#.##.....###.#.#..##.#..##...##..#.#.#.#####.##..###.##..#.##......##.#..##.####...##.#...###..##.#..##..##..#.##...#.##........##..##.#.#..#.#.####.......#.#.#.#####.#.##.......#..#.#.###.##.#.##.###.#.##.#.#...##.#..##.###..#######.....#####.#.#.#...###..##..#.#..##.#..###....####.##.#..#.####.###.#.#..##...####..#....#..##.....#..##.#.##......##..#.##.#..#........#........#..#...#.##..###..#..#..#.#.#...#...#..#.##...#.#..###.#........####.##.##.....##.#..##.######.##..##.
##..####....#.####..#.#.###..#.###...#####.#####.####..##...####.####...#####.##.##.....#.##.#####.####.###..#.#...##.#......#..#.##...##..#...#...#....###.#..####..##.#.....#.###...##.#.##.####.#.#...#.#...##.##.#....#.#....######......#.#..##.######.####..#....#...#.#.##..#....#..#.######.#....###.#.#...#....####..#####.....##.#..#.###..#....###.#...##...##..#.##..##....##.##..#....#..##..##...#..###.#.#...####.#.###..#.##.####.###.###.#...#.#.#.#.#..#.##.....###.##.......##...#..#..##.#########..#...#..#.#....#####....##..##.##.##...#.#..##.##.######.##.##.#.#.#...#....###.#.##.....###.##.#.#..#.##.#.######.##.#...###.#..#..##.#.#####.#.##...#.#.###.##....##..#....##....#.#...####.##.####.#......#..##.####..#..#....###.#.#..##...#...####.##..######..#.....#...#...#....##....####..##...#.####..####...##...####.#..#...##...#.....#####.....###...#.#..#.#####..#.#########.#.##..##....#######.##.#####.##..##.#.#..##.###..#...#.#.#....#...##....##.##..######.#.###...#####..##.#..####.#..#......#..##....#.#.##..##....#.#..##.##.#...#.##..#.###..#.#..##..###..#######..#.###.#.###...#.#..##..###.##..#.#..#####....#..#.#..#.###....#.###.######....#.##...#.#...#...#....###.....#...####..#..#...####...#....#.#.#.#.##.#.#..##..###..###..#....#..####.#.###...#.#......#.#.#####.###..######.....#.##.####.##.####.#.#.#..####..#.#.#.####....#..#.#..####.#....#.##.###.##.#.....#..#.#..#................#.###..#.#..##..#.##..##.....##.###.##.#####...##..#..#.#...##...##..#.##...#.....#....#..##..#.#..#.##.#.#....#.#.#...##...###.###...#.....#.#.#...###.....#.#..##.#....#..#.#.#.##..#.###.##.##.#.###..##.#...##..#.#.###.#..##.##..####.....#....#...#####.#...####.....###..#.#.###....##...##....##..##.####..#..#.##..###..#....#.#..##....##.#....##.#####....####.##.#......#..####..#.....#####.##...##..###..#..###..#.##...##.###.#..#.######...##.#.....##.#########..##...#....#.#.####......#.###.#.##..#.#.#.#.####.##...###..#.#.##.#.###.##.##..#....####...######..#.##.###....#..###...###.#
.##.#...####.#.#...#.##...##...###.#.#.#....#.###.######.#.#..#..#..#..#.#...#..##.#..####..##..#...#....####...#####.#.#.###....#######.#..#.......#...#..###...#.#....#.####..#.#####.##..##.#..#.#....###.##.#..#.###....##.########.##.#.#.#....######.#.##.###...#.....#.....####..####.#..#..#.####...##.###..###.....#..........###.#...####.#...#.###..#..####..##..#.#.#.#..##.###..#.#.#.#.####..#.#.#.#.########..##..####.....##..##.##.#####..#.....#..#...#..#..####...#..#.###...####....#..#....#.#.##...##.##.##.##..#######....#.##..#####..####.####.#..###..####..#.#...##...#.##.##.#.#.#.#.##....##......###......#.##..#...#..#.#..###..###.#..###.#.....##...#.#.####..###....###..#..#..###.####..#..##.##..#..#.####.######.#.##..####.#.#..##.##....#.##...#.#.....#....##...####..###.#..#####.#######.....######.#....###...####...##.#....#####..#...#.#.#.###.#.#.#.....###..##.#...##.#.#.####..##.....##....#..#.#.#.######.#.#....###.##..#..#.###.#......##.#..#..##.#...#.###.####.....#.#..#.#..#.##...#.#.##.##.#.###.#.#....##.##.##.####.##.##............##.##...#.#.#.####.#..#.##..#.#......#.###.#######..##.##.###..###..#.#..##..#..#.##.#...##...##..###....##.#.##.#....###.#####..######..#....###...#.#...#.#.##.##.####.#....####...#.#.#.#.####..#.####.#.......#.#.#.###..#..##.####...#.....##.##...#...###...#.##.#######.##.#.....##.#.#.#.#####...##.#..#.#....#....#.#..####...##...#.###...##..#....#.##..##########..#...#.###.########.#....###.##....#...##..#..#.##..#.###......#.##..#..########..####.##..#######.##.#.#..##.#.##..#..#...#.#..#.#.##.#.##.##..#..###.#.##..###..####.....#....#.##.##.###.##..#.......#####...######.###.###..#.#####.#..#.##...#.#..##....#..##..#.##..####.#...####.#...........#####.#.##.#.##.#.###..#..###.##..#...#######....##...###..###.#..##.#.##....#.###..##.#.##..##..#.###.#.#..#..##..##.###.###.#.#.##.......#.#..##.####..#.###..######.#####..####.....#.#.###......#....#..##..#.###.##..##.#.##.....##..#.##...##.###.##....#.####....###...#.#..#.##...#.
.#.###.#...#...##..##.##....#..####..#..#######..#.#..#..#.....#...#####.#.######.#.#...#.##..#.#..##..#...##.#.##...##.####..#.#...#....##.....#..#.#..#...#......#.#.####......#.#.####.....##.......#..##.##..#.#.###.#...##....##.########..#..#####.###....##..#.##.##.##.####.....#######..#..#.#..#.......#.#...##......#.#...#..##..####.....#####..#######...##.#.#...###..###..#..#..#...####.#.##.###..#.##..#..#.#####.##.#....###.#.###...###..##..#.#.#..##...#..#...##...#.....######.#.#.###.####..#..#.....###.##..#.....##...####.....###.###.#..###..#.#..##...#..#..###.###...#.###....#..##.##.##..#..#..#........#..#.##.#..#..#.###.###..#.#.##....####..#.#..#.#..###.##.#####..##.###.#.#.#..####.#.###..##...###....#..####.#.#.#.#.##.#..#.#.###..#####.#####.##.#..##..##.#..#..#.#.####.##...#..#.#####......##...##...#.##..#...####.#...#.##.#.##.##...####.#...#.#.#.##...#.#..#.#..#..#####.#.##...#..#####......#.###.#.#.##.###.###....##.#.##...##.#..##..#.##.#.#....#...##...#.#...#..#.#.##..#....#....##..#..#.###.##.###....##.#.........#.##.......#..####.......##.####.##.#.##...#......#.##.....##..#..##..#.....#..#.#.###.......#.#.##.#.#.##.#.....###.#.##.#.#.#..##.##..#######..#...#...##...#######..#.##.#.###.#..#.########..#.#.##.#.##..#...#.#.#.###.....##.#..####...###.##########.#..##.###.#.##.#.####..#...###.#####......#..##.#.#.#######.##.######.#.####....#..#.##.#.##.##...#..#.#..##.##.#........##.#...#.....##..#.#.###....#..##....#.....#...##.#..######.#.##.###..#...##.#######..#....###.....#####.###..#..#..##..........#..#....##....###.#.####.....#....####.#.#.##..#.#######.#...###.#..#.......#####.##....###.###.###..##...#...#..###...##..#..#..#.#.###......####....#...#.#.####.#.##.##.#.##.###.......##.###..#..#.##..##....###.###.#####.###.#..######....####.####.....##.###..#.#.##.##.#.##...##..#...##.#.###..###..#..##...#...##.######.#.#.######.##..##....###.#..#.##..#.###.#..##.#..##..#...###.####.....###..#..#####...##.###...###..#.#.#.###.##..#.####...#.##....#.
.#....###.###.#.#...#...#..##.#.#..#####.#...#.#.#.#.##.###.#.#####.##..#..#.#.#.#.#.###..#..#.##..#..##.#.##....####..##.########..#.###..#.#.#.####.##########...####..#..###..#..###..###.#.....#...###..###...###...#...##.##.###..##..#..##.###..####...#.#..###..##...######.##..#..#####.#.####.######.###......#.#.##.##...######.###.##.###..##....#.#..#...##..##..##..#...###...#.....#......####..##.###.#..######.####.####.#..####.###..#.#.#.....##....#.###.##...#......#.##.##.#..###.#.####.#.#####....#..#..#..####.#.#..###..#.###...#..####..#####.#.#..#.########...##..####.#....##.#..#####...#....##.....#..#..#.###.######.###.#..#####...###.###########..##.##..##.#.#.#....##...###............#.###.#...######.#.###.#.###.#...##.####...###...##..#.###...#...######.##.###.#..##..##...#.##.#..#.#.#..#...#.#.###.##.##..#......##.###..###..#.###.....##..#.#.#.....#......####..##.#..#....##.###..#....#..##.....#########....##..###..##..#..###.##..##...####..#.#####..#.##.#...#..####.#..#.#...##...##............##.##..##.#..##...###...##.#..##.#.#...#.#...##.##.#.###..#.#.....#.#...#.#.##..#.####.#.#...##.#...##..#.#..#.#.#...##.#.#####.##..##.#.#.#.###.##.##...#.#..##........#####.#..##.#..##.####...###.#####..#####...##..#.#..#..##.##.###...#..##..#.....#.######.#.#...#.#.#.#.#..##.###...##.#......#.##.#.###..####...##...##.#.#..#.###.#..#..##...##.#.#...#..#.###.#.##.....###.......###.######.####...#.#####.#..#..#.###.###.#...##..##..##..##.#.###...###.##.#.###..##..##..#.##.#..#.##.####.#......###..#.#..#..##.##.##.######..#..#.#.#.##.....#####..#......#.#...#.#####..#.###.###....####..####.#....##.#.#....##....#.#.##..###.####...##.....#..##.#.#####.##..#..##..#...####..#...#.#..##....##...##.###..#.#.##.##.###..#..##...##.##..#.#.##.....#.#...#...#.#...##..#.#...####.....#.#..###.#..##.###...##....#.####..##.##.#.#...#.###.###..#.#...###....#...#..#.#.#..#######..#.###...#...#.#.#....#..######...#.#..#.#####.#....#..#.#..#..##.##.##.#...#.##.#.##..###.#..##...####....#
##.#.##.#.##.##..#.....#...#####...#..###.##...#.##..#.#...##.###.#.#.#...#.##.###.####....#....#.##........###.#.#.#.#...##....##.####...##.#######.##.#..##.......#..#.#..#.#...###..#..##.#...#...####...##.####.......#..##.......#..####.#.###..####...####.#.##.....###.#...######..#.#..#..#####..#...#.....#...##...#...###..#..##.##.##.#..##...#....##.#.....#...##..###.#.#.####.#..####.#.#....#.#.##.####.##..#...#####...#.###..#.###.###.##.########.##.###.#.#.#.#....####.#..#.###.##.#.#....#####.#...#.##.###.#..#.##.###.##.#..#.....#.....##..#..###..#...#...#..###...#...#.#.######...####...###...###..##.#....###.#.##.###.###.#.###.#.#.#.#..#...#....#.#.#...#.....##.#.###.######.#.##.##.##...#..###..#...####.#.##.##..###..#....##....###.####..#.#####...#...#.######...##.#.#..###.#...#..########.#..###.#.#..###..###.###..##....######....#.###..###..#...#.#..#.##....#..#.#...###.#..######...#..########.......#######.##.....#...#...##.#.#.#..##..#####..##.#..#.######..##.##.##..#.#..##...#..#.#.###.#####..###..#.########.#...#.......###.#########..##...#.#.####..####.##.###..#.#.#..#.#.###.....####...##.#.###...#..#.#.#...#.##...##.#.#.###.#.###...######.##.#..#.##....#..####.##..##.......#.#####.#..#.##...####..#.####....#..#.....##.#...#.....#..#..#...#########..##.###.#..#...#..##.###...#.##...####.#.######......#...#.###.###..####..#.##.######..#.##..##.#.#...####.####..##.###.#.#..#.#...#####.......#...#....##.###.#.#...##...##.##..#####.##.#####....#..####..###.#.#.#..##.#.#..##.#.#..##.#..#.###.###.###.#.###.#....###.##.###...##..##...#.#..###...###...#.....#..#..#..#.#####..#......##..#.#...#....#.##.##.##.##.#.####..####....#...#..#.#.##....##..#####.....#...##.####.#..#...#..##.##.##.#.#...........###.#..#..#.#####...#..###..#.#...###...######..##.####.##.#.#.##.#...#######.##....#.#..#.......#.####.#.#..#.##......##.###.#.##...##..###.###..##.#..#.##....#.####....#...#.###...#..#.#.##.#..###...##.##..###..#.#..#.###.#..#.######.##.##.#...##.##..#.##.###..#####
##........#...###..######..##.###.#.#.####.####.##...######..#...#.#.###..###.#...##.....#..#.#..######.####.#.####.##..#..#.#.#.#.....#..###.###....##..#....#.###..#######......#..#..#....#...#.#.###..#..##..#...#.##..#.##..#####.#..##.#####..###....##.#..#..#...##.....#..#...#........#.#.##..#.#.###..#.###.##.###.####..#.#####.#..#..##..###....##.#..#..##.###....##..#.####.###.#.#..#..#####..#.#..##.#..#..#...######...#.##.##..#.##..#.##.###..####..#.##.#..#.#...#.#..##...#.#..#.#..#.####.##.#...##.####.#..#.#.#.###.##.#......##.#.#.##.#..#....#.#.#....#.#...###.#.#.##.#..#.##.........####.##..#...#..##.#.###..#...#...##..#...#.#..#.##.#....##.####.##.##.####.#.##..#.....####.##.###....######.....#####..####..#...###.#.##.#..#...##.###....#.###..#..##.#.####...##..##..#.##.....#.#.##.##...##.##..###.###..#.....#.#....##...##.#.#####.##..###...#.##.#.....##....##..#...#.##.##...##.....#.##.#####..#.#.###...###.###.#.##..##.#.#...###..##.###..#...#..#.####..##...#.#..####.###....###......####....#..#..##.#.#.####.....##.....#....##..#...###..###.###..#...##..#..#.#......#########.####...#..#..#..#..#...##....##.#.##..#....#####.####.####.#...##.###.#.#.####..#.#.##.##.##.#####.....#....####....######..#####...#.##..###..#.#...#####.#..#..#.##.####....##.##......#..#..#####.###.....###..#####...#.####..###..#....#....###..#...#..##.##..##..#..####.###.#.####.###..###....##.#######.#.####.##..##..#.####.#.#...#.#.#...#.###..#..#####.####.#.#.#......#...###..##..##..##..#.#..#.#.#.#.#..##.##.#...##.##.#.##..###.#..####.##.###...#..#.#..##.#....#..###..###.#.#.###.#.##.##...#####..#....####......########...#.#..#..######..#...########....##.#...#..#.....###.###..#..##..###.##..#.##.###.##..##...####.#....#.#....#.#.###..##..######...###.#.#.#####.#...#.##.#.#.#...#..##.....#..####....#..###.##.#...#.#.###..##.##.#####.#.###.#.##.#.##..#.#.###...#.#.##...########.#.#..#.##.#.#.###.#...##......#.#...#.##.#####...######..#.#.###.###..##...#####.#.#.#.##.####..#.#.#.#.#..##
..###.###..#.##.....#.....#...##...#.##.###..#..#..#...###...#.#..#.##.##.#..#..#.#..##.######.#...#.###...#..##.#..###.##....#.#########.#....##..#...#####.#..#####...##..##....##...##.#.#.#...####.####.#.###.###..##.#.#..#.##.##.##..#.#...#.#..##.###....###..#.##.##..####..###.#######..#..#.##.#.##.....##..#.#..##.##.#.##.#..#.#.....#....####.#.##....###....#..#####.####..#.#.#.###..##.####.####.##.#.#.#...#..#...##.##....#......#.#..#.#####..####..#.#....#....#.##.##..#.#..#...#.###.#.##.##...#...#.#...#####...##.##..###..#.##.#.##...#.##..##.#.###.####.##.#..#.#.#.......###...##..####.....##..#...#...#########.....#..##.##.###.#.####..###.#..##....##..#....##.##.#..#..#..#.#..#....#.##.#..#.#.#....#..##.#.#.#..####..##.##.#####...#.#...##..###.#..##..###...###.#.#.#..#...##..#.#.##.#..##..##..#.#.####..##.#..#.##...#.#.#..#.#..#..####.##.##.#....####....##..#.#.#..#.#####.#.#..####..###.######..##..#..#....##..#.....####..##...#.#.###.#####.##.#.#..##.#..#..#..#####.##...##..###.#.....#...##..##.###..#.#.#.##.##.......#...#.#####.....###.###.#####..##..#....#.###.#.##.#.......#.##..###..#.#.#.#.##.###.#....#.####..#..##..###.##########.....#.####...#..#.##..###......###....#..##.##.#..##..#.##.#.#...#..#.##.#....#.#.#.#....#.##..##.#.#..#...#..##...#.####..#.###.#..#.##.####....##.#.###.#....####.#.##.##.#....####....#.##.####.#####..##..#.#.#.#..###.#.##.....##.#..#...###...##.####.#.#.#..#.#.#.#....###.####..##...#..####.###..#..##.#####.##.#.##.#...#.####.#.....##.#.###.....##.##...#.###....#.#..#.##.##.#..##.###...#..#...#.#.##########.....####...#..#..##..#.##...##.....#####..#####.#.....#..#....##.##..#...#.#.##.....#...........#...#..##..###.#.##.#.###..##.##.#.#####.####.#..#..#...####..#.#..#####.#.##.##..###..####.#..##.......#.###.#.##..#..#.#.#.#######..#.#..#####.####.####.#..#..##..#..###....##.#.#####.#.##..#########.#..#.#.#.#.##.#.#.###..##......##...####.#.#####..#.#.#.....#####.##..#..#..###.#.#.....##.#..#####.######.#.#.##.##.#..#..###...###
##..####...#.#.###.#.#.#...###..#.....#.###..#.#.....######...#.#..#.....###..###.##.#.##.#..###.#....#..####..###.#..##..#.#...#####.#..######...##..##.#..#.#.######..##...#.#..########...#...#..###..#.##...#.#.##.#..##....###..##..##..#.########.#...#.#.##.##.####.#...#....##..######.##.##..####.###..##.##.#.###.###.####..##.#.###.###.#......##.#.#.##.#..#..#.######..#..#.#..##..#.#......#.##..#.#...###.#..##..#...#..#.#.......##...#.##.####.#..#.#.#...#.##.###.#.#....#.#.#...#.##..#...#...###.#.#.##.#####.##.##....##.#...##..#.##.#..#....#####.###..##.###...###.....#.##...#.####.....#.#.##.#..#.#...####..############...####.######.....###.....###...#.###.#.##..####.####..###...#..###.#...#......#..#.#.....#......#..#####.#..######.....####..###.#....##...##.#.##...#..#...#...#.##.####...##.#...##...###.#.##....#....#.#.##..#.####.##..###.#.....######.###.#...#..#.###.....###.#.###...#.......#.#.#....####.##.#...####..#..#..#.###...####.#.#..####..##...##.##..###...##.#.##..##..#.#.....#..##.####..#...##.....##...#..#...####.#...#..#.#..###.#..#..#....#.##....######..#########.#.#..#####.###..#.###.#.##....#.###.#.#..#.#.##.#..#...#.##.###...#.####...#..#.......###.##.####.####..#.#...###.####....#.###.#....##.##.##..#####..###.#.###.#.##..#####.##.#####...##...#...#..#.#.##..#....#..##..####...##.#...####.#.#####.##..##..###.##.#.#.#.####....##..#.##....##.#..#.#.#.#...#....###...####...#....##...##.###......#..##...#........#....##.#.#...##.....#.#..#.####...##..#####.#####..##.##..##.##...#.##.#..####..##.#..##...##.######..###.#########.#....###...###.###..#..###.##..##..#.#.#....###.#.........#...#.#......##.##..##.#####..##.#.#.##.#....##.#.....#.####..###...####.#..##.##.#.###....##..#.#...#......#.#...#.....#.##.##..#.##.##.#.########.#.##..#..#..#...#..#......##.###.#...#..#.#.#.#..###...##...#..#.###..#..##.#.#.###....#.####..#####.#.#########.##..##.##.####.#.#.#######.##.....#......#.##.#.#######.....###...#...#..#.##.#...##.##..#.#.#...#..##.####.....
##....#..#......##......#####.###.#..#...##.##..##...#...#.#...##.###.#.#.#..###.####..#.#....###..#.#...####...#....##.#.#.#.###.####.####.##.#...##....#.##.##.#.###..####..##.###..#.#..#.#..##..#..#.#..#.##...#.#....##....#...###.#.##.####..######...#..#..###.#..#####.####..#...###.....###...####.#...#####.....##.#..#..#...######.###..#####..#.###.###...###....##...###.#.#####...######.....#.###.#..#.###...#..#....#.#.#####..###..###...#.#..#..#.###..#.#.###.###..#.#..####.#.#..##.....#.###...#.#....#...#...##.#.##...##....##.####.#.###..#..##.#.#.####.####..##....#..##..#.#.#.##.##.#####.#.##..#####.......###...######....######..###..##.#...#.####.###.#..##..##.#..#....###.#.##..##.##.##..#..##.#..##.#.##.#.##..#####.#.#....#.#.#..##..#.#.#.##..##..##.#.#....#..##.#......#..###.#..#.#.#.#...#...##.#.#####.#..##.###..#..#...###.#..#.##..#...##..#.###.#....#.....#..##...##.#.###...####.#...#..###########.#..##..#...#.##.#..###..###.###..#....#...#.#..##.#.###..##..#..##.#.##.##.......#....#.##.##..####....###..##.####..##.#.#.########..##.#...#..#.#..###..#.##.######..#.....##...#.#...###.#..#.##.##...##..#.####.#..##..#.####....#.#.#...#....#.....##..#...#.###.##...####.##.....#.#..#...#..##.##...#.....##.#.#.#..###...#..###..###.#####..#....###.#.##.###..#.###...#.#.##......##...#.#..#...#.##...##.#.##...#.#..#.......###..#..####.###.#..........#.#...#..###.#.####.##.....#.#...#.#...###..##.....###.###..#..###.##..##.###...#...###..####...#....###.#..##..##....#....#.#..#.##.##....###.###..#..#.#####...##.##.###.##..##.###.##..#..###...#.###....#.......#.##.#.##.##..#.#......#....##.....#...##...##..#.#.#..#...##.##..#.####..#...#####..##.#########.#.#.####.##.#...##......##.##.###..#....##...###...####..#..#..#.##.##...###..#...#####.##...#.#######.#..........#####.#.##.#....###..#..###.#..#.######..###.###....#..##.###....#..#####.#.#.#.#.####.##.####.##...#...#.#########....#.........#######..#.#.##.#.#..#####..#...##.#......#...####.#.##..########......#.....
##...#...#...#.###...#.#####..#..#..#..#####..#...#.####.####.#.#......#.##.#...#...#..##....#..###.####..##.#..#...#.#.###....#.#.#...#.##.#....#.##...##.#...#.#..#.....#.###.#.###.##......#......#..#.#####....#..#.#.##..#....#..#.#.####.#..#.###..#.##.##..#.#.##....#..###...#.#..###.#.###..#.#.##..#......####.##..#.#.########.#.#.###..#.#.###....##.###....#.#.#.#..###.##..#..###.#.##..###..###..###.#.#..##.....##.#####.#....##.####.#..###.###....#..###....##...##.#..#####..##.##.#.###.##..#####..##.##.###..#...##.#..#..#....#..#..#.#..###.....#####.#.#..#..#......#..##..##.####.#.#...#######.#.####.....#..####.....####...##..#....##.#..##...##..##..##...#..#...#.#..#.####.#...#.#.###..#.#..###...#.#.#.#..##..#.#...###.##...#########..#.#######.#...###.###.#..#..#.#.#.##.##..#.#.#.###....#.##..###..#......####.#.#..##.#....##.#..#####...#..###.#####.##..#.....#.#.#.##.#..#...#..#....#..#####..##..#.####....#.###..##....#..##.##.......###..###.###.####...##...#...##.##.#.##....#....####.#..#...#.#.#.##...#.##..#.#..#.####.##..#.#.#.##.#.###..#..#....##..##.#.##.#.#.###.#...###.#..#.#.#..#.#.#.....##..####.#...###..##..##..####.#.####..#..#..##.#.#..#.....###....##.#..##..#.#.#..###.#####.##..#.#..##...#####...#...##..##.#.#.#.###.#..###...#..#..#...#...#.###.#.#..#.#..#.......###.#.###...###........#.##....#....#####...#..###..##.###..####...##..#.#.##..#.########.#...#.##.#..##..###....#...........##...##.#.#.#.#....#.######.#..##.#####.#.#.###.#.#..#...##.###......##...#####.#.##.#.#.###..####..###..#.#######.#..#.#....#.#.###..#.#..###.....#.......#.#....####..#.#..##...#.##..#.##.#.#..###..#..###.#.......##.##....#...............##.....#..#..#...#...##...#.######..####...#..#.#...###...#.#####..#####..#.##....###.##.##.##.###.#..##..#....#.#######..#..##...##.####..####..##..#.##..#..#..#...######...#.#...#####.##.#..####.###.....##...#.####.#..###.##....##.......##.#..##.##.##........#.#.......#.##....##...##..#.#.#.#####...##...#.#..##..##.##.#.###.#....##.#.#
.#.#.#.##..#..###...#.#.#.#..#.#....##.....##.###...####.####....#.###.###.###..####..#......#...##.##...#..#...#.#.##....##.##.#..####...#...#.####...##.#.##.###.####.#.....#...##...#...#####.#...##...###.#..#..###.###.##.#.##.#####.###.##.#..#.#..#.#...#...###..#.#..#.#....##...#.##.##.######...#.#..#..#......#..#....#...#####..###..#.#....##...##.#.##.###....##.#.##..#..#.#.##....##.####...#...##.##...#.##..#....##......##.###.##......###...#.#.#.####.#..#.##...###.#.#.#..#.##.###.#..#...###...##..###..#....#.##...##.####..#..##..#...##.........#.##.##..##.##.#.##.##....#.#...#...##.##...###.##.....#.#.#.....######.##......#...###..##..#..###.##.##.##..##..#.#..#..#...######.#.#.#......#.#.####.##.####.###.#.#.##..#.#..#.#..#......###.#....##.##...#.####.#......######....#..#.###.#.######.#...#.#..#.#####.....##....##....#.###..###..#.#.#...###..####.#......#...#.#..###........##...........#.##.....#####.....###.#.#..##.#.#.#........#....###.#.#####.#.#.####.#.....#.#.####.########....###...#.##........###.....######.##.##.#...#..##..##......##..#...##.###..####.#.########..##.###...#..#........#....###.##.#..##.#.##.###...#..######....##..#...#..#..##..######..#..######.#...#.##.#######...#.#.###.##..#...#..#..#.#.##...#..#..#.#.#..#..####.#.##.#..#.#..##.#.#.##...#..#.......###.####...##.##.##...##...######.#..#.#####.#.#...#.###..#..#.#..#.#.###..#...###..#.#.....####.#####..#.###....###.#...##.#..###.........#.#...##.##..#.....##.###.#...#.#....#.##...##..#..#...#.########.##...#.##..#.#.#..####..#..#...####..#.....##.#.##..###...##..#...###.......###.##...####..#.....#####..#.#...##.....#...#.####.#...........##.....##...#.#..###..##..##.##........#######.#.#.###.###.#.##...##.....####.#..##....#.#.##.##.##..#.###..##...##.....#..#.#.##.#..############...#....####....#..#..###.#.##..#.##.##..#..#...######..##....#.#....##.##...#....####..##..######..######.##..#..#..#.##.....###..#.......#....##.##.#..##.#######...##.###..##.#..##..##.#.##...###..########..#
....##....#.....#.#.#####..#.####...##..#.####.###.##.#..##....##.#.##......#.#...#.#.##.###.##.##..#.####.#####..#.####.......###.#####.#..#..#.#...###...#.##..#####..#...########.#####.#..##...#...#.##.....#..###..#...#.###.#....##.#..###.....#...##.#.....#.#####..##......#.###.#######....###..#....#.#..#..##.#.#.##..###...#.....###..##..#.####.##..#...###..#.##.#..##..###.###..#..##...#..#.#.#.#.....#..#.......##.###....#.#....##.#.#####..#.###.#####.#...####.##.##.#..##....#..#.#...#.###.#...######.##.###..#..#....#.#..##..#..#..#.#####..#.###.#..#.#.#.......##....######.#..##...#...#...#.#..#.####....##..####..#...#...###.#......##..#.....#.....##.###...#.#...#..##..#.##..###...#....#.#.......###..####.#.####.###..#.###.#.#.#####.##.#.#####.###.#.#.#....###..#.##..###..#......####...###...###..##.##.#..#.#..#.#####..#####..#.##..#...#.##..#..##..##...####..#..####..##..#.####..##.#.#.#....##.#.#..##.#.##....##......#.##.#.#..####.###..#...#.#.#####...#.#.#.###.#.#.#.#.#..##..###.#..###...#.#.###.##........#####......#..#..#.#...###.#.###.###...##.########.#.#.###....##.#.#.###.......###.##.#..#.####...#.#.#####.###.#.#.#..#....#.##.#...##.##.#.#...##..#.#.#...##.#####.##....#.##.##...#.###.#..#.#..#.##.##..##.###...###..###..##...#...#####.##.##.#..######.###....#...###.#..###.####.#.#######..#..#.###..###.....##..#..#####...#.##...#..#.....##.##.####.#.###########..#.####..#######.#.##....#.####.##..##..##.#.#....#####........#.#.#..##....##...#..#.###..##.#####..###.....###.#..##..#.#.#.#..##.#.##.#..#.#..#.##.##.....#####...#...##.#.....#..##.#.##..##.###.#..###.#...#.###..##.#.#..#.....#.....##..#..##..#...#.#...##..##..##.####.##.######..#.#.##.##.#.##.#.#.#..##...#.#.####.#.##.##.##....#.#..#.#.##.###.#.#..########.#####..#.#.###..#..#...#.......#.##...###...#.#.##.###..#.###...#.##.......#..#.#.##.###.#....##...#...##.####..#.#..#.####....#..###########.##..#...#.#....###.###.#...#..#.#.......#.##.##.#.##.#....#####.##...#####.....#.#.#....#..#.#.###..#.
.#.#.#.##.#..#...###..#.........##...#.#..##..####.#..#.##.###.####.###.###.#.####.####..#.####.###.###.##....#.###.####.#####...##.#.###..##.##........##.#.#....###.##..####..##......#....#...#..###########..#...#.#.#.##..#.....##.#....#..##.##.#.....##.##....####.#..##.####.#########.#.#...##.###..#..#..##.#.#.####..#.#...#.##########...#.#.#.##.....#.##.#.#.####.#.#..#...#.##...###.########.#..#.##.#......#####.#..#.##.#####..#..#.##..###.##.###....#..#..#.####.#.....#.#..#..###......#.######....#.####.#.#.#.###.###.#..#..#..##.#..###.#..###...#.###...##.#.##...#.###.######.##...###.....#.#.###..#..#...#....####..###.#...#..####.#.#.####..#.....####..##.#.#..##..#..###..#.##....#...#.#..#.##.#......#.##.#..#.#..#...####.###...#.##.#....###.######.#####.###..##.#..#######..##.#..##.#..#.#..#.#.###..#.##.#.##.#.#..#..#.#######...####.#.#.....#####.##.########...##.#.##....#..#.#.#####.##....#.#..#..##.....#.....###.###.#######....###...###..#...##......###.#.#####..#.##.#.#..######...##.##..###.#......#.#.........#..#.#.#.####.#...#.####.#..###....####.##..##..#.#.#..#.##..#.##.####.#.#...#..#...#...##.####..#.###...#.####.#.#.#.#....##.##..#...#..##.###.......#.####...#..##......#.#.######.##.#.#.####..##..##...#...####..#...#.##.#..#.#...##.##.##..###.#######..#...##..#....#..#####...###...####....####..######..#....##..###...#...###...##.#...###....###.#.......#.##.#.#....#######.###.#......####..######....##..#.##...##.#...#..#.##.#.##...#.#.##.####..#.###..#...##.#.#........#....#..#..#..#..#.##..#####.#....##..#.#.#.####...##.#..####..##.#.#.######.#..###......##.#.##..####.#...#.##.###.#...###.##..##.#.##.##.####.#....###....#.##.#.#..#.##.#...#.##..######..####..#.#.#....#..####.....#.#..########.###.########.#..##.....##.#.#.########.##.#.#..#.###...#.#.##.###..#.#......##...#.####.#...##.######.####..#########..###.#.#.###.#.##.#....#.....#########..#..#..#.###..######......##..#..#####...##..###.##.##....##.###.##..##.##.########.#..#...###......##......
#...####.#.#.#.##.#.....#.#####...#####.###...#..##.###.#.##.###.##.##.######.#....##.##.....#...#..#..##..#.#.##.......#..####...#.#.######.##..##...#..##...####.#.##.#..#.#.###......###...###..#...##....#####.##..##...#.......##.##...##..###..#.#.##..#..####.#..##...###..###.###...#....#...#.##.#.#.#..###.#.##..###.#.#####..#...##..###.#..###..###......###.#..##.....#.######...##.#.###...##.##..#...#####.#......#.#.##..##.#.#.##.####.....#.##..###.....#..##..#.#..###..#...##...#..#..#######.#.#.###.#..####.#..#.#..########.....####..#.#######....####.#.....####.###.....#..#..##....###..#.#.#....##.#..####.#.#...#####.#..##.#..#.##.##.......#.#...#.##..##.####..##..#..###..##.#...#..##.....#...####...#.###..#.#.#..#######.#.##...#..#.#.#......##.##.#..#....###.#.##.###....#.##.##..##..##.#...#...##.#..#.......#....###########....####...#..####.#..#.##..##.#....#..#.....###..####.##...#.#....#..##..#.###.#.##.#....#...##.#####.##..###.####.#.##.#....###..##.#.#.#####.###.#...###.#.##....##.#####.#..##.#..#.#...#####...##...###..#....##...#.#.#..#.....#.##..#.#....#....#..#########....###..#..#..###..##.#.....##.......#.##...###...#.##.##.###.########..#....###....#.######..##.#####.###...#..#..#..#...#..#.##.##....####..##..##..###....#..##..##...##..##.........##.#.....#.####.#...##.#..####.#.#..#.##.#.##.###.#....#....#########.###.##...############.#.#.##.##..#..###.##.#.##....#..##.#.#.#.#.#.#..####.##.##.#.##..##.########.###.##...#....####..#.#....#####....#....###.##.##..##.###.###.#..#.#..###.##.....#..#.#.#.#.####.####..#.####.###...##...#.#..#.##.#####.##..#..#.#...##.#..####..#.....#...####.....#...#...##.##...##.#.#......#..###..###.##.#.....###..###.###...#.#.#.#....#####..#...#.###.#...#..##..#...####......#....##..##.#.#..#.#.#######.....#####.##..#.##.###.....###...#...#....########.###......#..##..##......###########.#.##.#####.....##..#..######.#..###..#.#.#.####.#..##.#..##.##.##..####.#...##.#.##.###......#.###.#..###.#.....#.#####....#.#######.#
......##.##.#..##..#..#.##...##.####....#...###..#...###..#.#.###.......#.#########.......##....####.##..#.#.##....#...##..#.#.##...#...#.#.####...##.#.##...##.....####.#.#.#.#.###.#####..#####.#..#....##...##.....######.........###.#.....##.###....#.#.#..#.##.#...#.....#..######.#.###...###.##..#..##..#...###..###......###.#.##...#.##.##..#.##.#..#..##.###.########.....####....#.####.....##...######.#.###..#.#...###..##..#.#....####..##....#..#.##.#.#.#.#.##....##.#####..###.##..#.#.....#..#..###...##..#.#.#..#....#....#...#.###..##.#.#.##...####..#.#..#.#.....##.##.#.#..##...#.##...##.#.##..##...###.###########..##.#.#..######...##..#..##....###.##.#.#.#.#.......######..#...#.##...##..######.##.##...##.#####.#.##..#.#..#.#..#.....############...#....#.....###..####.#..##.##.#...###...##...###.##.###.#.#....#.####.###.#..#..#.#....#...###..#.#.#.#..#..#....###.#.#..#.##..#...###...###.#.#.#...#.#.##..##.#.#.#.#####.##.#..########.##.#..#.#####..#.#.#..#.#.#.##....#.#.#....##....###...#.###..#.##..####.#..###.....##.....##...#........#.....#####.......####......#.##.#..#####.#.#..###..###.#..#...##.#.#.##..##.#.#.#.....###..##.##.##.##.#####..#..##.#.##.####.#.....#####.##...#..##.##......##.##.#..#...#..#.####..###.##...##.###.###.##.###.#.#....#.##.#.##.##.##....#.###...###.#..#.#..#..##.#######.###......##.#...###.#.##..##..#..#####....###.#.#.#.#####..##..#...##..####..#.#.##..##..##.#.##.#####.#..##...#....###...###..###..###.####.......#.##.#.##.##...#.....#..#..#.#.##..#.#.###..####.#.#.####.####...##...#.#.##.....#..##.#.#..######....#...####.#..##.#####........#...##.###.####.#..#..###.##..#.....##.####.#.#.##.....#.####.###.##...#######.##....#...#.####..###.#.###..#####.#.....##..##.#.###.#....#..#..##.##..#.#...####..##..#.####.#...###..###.#.#..#.#..#.....#.#.#.##.####.....##.#.####.#..#..###..#..#.#..#...#...####.#...###....#.###..#.#.##.#..##.....###...#..#######.##...#.#.#...#.###.###.#.#.#....#.##..#####.#..###.#.##.....#.##..#...###....#.#####.#.##
#.####...####...#.#.#.##.###.....#.##.##.##.#...###.#..#.##..#..#..#.#..#...##.........#.##....#....#...###.####.####..##.##.#..#..###..#...#.###.##..##.......#.#.##.####.#..###...##.###.#.....#.#.###.##.##....####..##....#..#...#.#..##......###.#..##.#.####....##.##.#...#.###.#..#.#.#...#.#.#...#####.##...#..##..#.#######...###.#####.....#.#...#######..#....#......###.##.##.##..#.#..#..#.##.###..#.#.######.#..######.#.#...#...###........######.#.....#...#..###...#.#.#####.#.....#..#.#.###...######.###..#.#..#....####..#.#..#.#..#...##...##.#.###...##.##.#.#.#...##.###.###.#..#...##.#.##.#...#......#..#.#..####.##.#...#..#.....#..#...##.##.#.#..###...#.##.#..####...#...#...###.#.#.#.#####.##.##.....##.#.#.#..###..###...#..#.#..#..#####..##....#.##...#.##.###.##....#..#.##..#...#.#...##..##.#####....#.###.#######..##.##.######.##.##.#.....#...##.####.##.#.#......##..########.....####..#..##....#......##..##.#..#..##..#.#.#.#......###.####.#.##.##.#.###..##.....#..#.########..#....###..#.#..#.#..###.##.#.#.#..#.....#.#....#..#.#....###.#..#.#.#..#..#####.#####.#..##.#...##.....#.###############.#.##..##.#....##.#..##..#.##..#...#.#.####.#.##.#.###..###..#..#.#..#####....#####......#.###...##.#.###..###.....#.##..#.#..########.#.#..####..##.#.####..####.###..##.....#.##.....##..##...###..###.......#.####.##.#.....##.#.#.###..#.#...#.#..#.##.##....####..#..###...##..###.##.....######.###.#......####.#####.###....##.#.##..#..#.....####.###.#.##.#.#..##..#..#.........###.....##...###..####.##.#.#.#.##.###.###...####.##....#..##..##.#..####..##.###......#..##....#....###...#....##...#...###.##..##..#.#.#..#...###.####.#...#####........#....##.##.#.#..#.##..#####..##....##.#.###.##......#.####.######..##.#.#.#.#.#.#..###.#.#.#.#.###.#.##.#.#..#.##........##......#.#.###.###...#...#.#..#..####...##...#.#..#...#.#....####...#.#.....#..#..#.....##..#.##...#.##.#..####..#...##.#.#.#.#.#..##..#..###.#####.##.#..#...##.#.##...#...#....###.#.#...#...####..#..###....#.#...#..##.##.
#.#.#...##..#....#..##.#.#....##..#.#.##.##...#.#.##...#.#.#.###......#.#.###...#.#......#.#..####..#..####.#...##..#..####.##.#.##.#..#.#....##..##...###..#..###...#####.#.#...#.##.####.#..#.##..##...####.#.##.###.##.####.#...##...#..#.##.####..#....#.####.#.#..#.###...#..#.#..##.#...##.###.......##.###..#....##.##.#.#.#...#...##.###...##.###.##.##..###..#..#.#..###.....#...#.#..##.##...###.#.#...######...#........#..######.##.#######.#..###.##..#..##...##...#..#.#####..###.#.###.#..#.##.#..###.....##.#..#.##.#.#.#....###..##.#.######.##...#..##.#....#.##..#.#....#.#..##..#...##.##...#..#.#..##.###.###.#..#######..#..#######.##.#.#.##.##...#.#...##..##..#.#..#####....###..#...#.#####....##.#.###....#.##.#..#...#.#.#..#.#.#.#..#....#####.#..###.#.#....###...#.#####.##....#..#..#.#.##.#.###.#..###..##.#####...#...##.#..##...##.##.#.##.###.#.#..#.....###....##.#.#.##.#.#..##.#...##.###...........#.#.##..#.#.##.#.###.##..#####..#..#....#.....###....#.####.......####.##...#.####.#.....##..###.......####....#..####....##.#.#..##.##..####....#.#.#.#.#...##.#....##.#####...###..#...#....###.#.####..##.....#....###.##...#..##...##....#.#.....#...#..#.#...##.#.##.#......#####.#...#..##...####.#...#..####.##.##.##.##.#..#..#...#..#.##.##.#.#...###...#.#.####.####..#.#....#..##.##.....#......#.##...#...###..#.##...#.#..#.#.####..#...#...#####..#..#.#.#...#..#..##.####.#..#.#.#.#...#.#.##.#..#..#.##.#.##.#####......#.#.#....#..#...#.##..##...####.#.##..##.####..#.#.#.#.##.##..##...##.##.###.##.##.#.#########.###.#.#.###..#.#.##.#..#..##..#.###.#..#..#..##.#.####.#...#..#.....##.##.#..##..##.....##...#.#...#.#..#...##......#....##.#####..#..###.#..##.#.######.##.#....###.#.#.##..####..##...#...###.###............#...##..######.##.#..#.###.#...#..#.#..#..#..#.##.#.##..#.##...#......#.###..###..##.#..##.##.##..###...##..####..#.###.##...#.#.#....####.##########....#######...#.####......#..###.##..#####.#.#.##.##.###.####.####...####...##.#...#....#..###...#....#..#.##..#..#.##....
.#.##..####....#...#..#..##.##....##...###.###.#.#.#.###...####..#...###...##..#.#.##......#...#.....#....##.....###......###..###.#.....#....###.##.##....##..#.##...###..#.#.##.#.##.#..#..###.#.#.###....#.....##..#.##.#######.##.#####.#.##.#.######.#...#.###.#.#..###..#..#.#...##......#####.##......#.##....##.####..##.####...#.#...#.######...#..#.###.#..######.....###..####....######.#.#######..#..#..#....##.##...#.###..##..#...##.#..##.#..###..###..#.##.##...#.####.#.#.#..#.....#.##..#.....##.#..##...##....##..#.##.###.#...###.###.#.###..#..##.##..###..###..#.#######...#.##.#....###..##...#.#..######..#.#.....#.#.#...##.#.##..#..#.....#.........##.####.#.#.#..#..#.....##...###.###.##..###.##..#...##..#.###.#..#.#.##.##...##.#..#.#.#..##.###..###.#.###.#..#.###.##....##..#.#.#####.###.#.#.#######...#.#####.##.#.#..####.#.####..#.##.#...###..###.####.##.####....###.##...#..###.###..##..#####..###.###..###.#....#.#.####.###..#...#...##.#.##...#.#######..#...##...##..#.#...##.#.##.##..#....#...#..#...#.##..######..###..###.##.###.#.#.#....#..##.#..##.##.#..###.#.#...#.#.##...#.#.#..###..#####.##..###..####......#.#...##..#####..##..#.#...##.#....#####....###.#.#...#..#.#.....###..###.#..#.#.##.#...#.#.#..#..###...####.#..#......####.####..##..##.##.#.#.......###.##..###..#...#.###.####.#.#.##.##.####.#....###.##.#.##.#.####.##..#####..###.#.#...###...#..#..#.#..###...#..#..#####..#.#.....####..##......####.##....#.#.#####.........##........###.....#..#.####.###..#.##...#.##...##.......##.##.##....#..###..#.###....##..#.####..##...#.##.#.##..#.#...#.####..####......#....##..##.###.##.#.#...#.#.#..#...#...#.##..#..##....#..##.#.##.#...###.##.#.....##.#.#........###.####.#######..#..#.##.##..#.##.##.###.####..#..#..#.###..###.#...#.##..#.####...###.#####...###..#.###.##.##.#..###.##.#.....#...#..#.#.#..#...#.###.##.#.##.####.#..#...#.##..##...#..#.##..#......#.#.#.#...###.##...#...###.###..###.#.##...#.......#....#..###...##.#.#.##.#.##.#...#.##.#.##.####..#..#.##.##..#.
#.#.##.#.##.....##..##..####..#.##..##........###..###.......###..#..#.....###.#....##.###...####...#.####.#.##..##...#.#.#.#########.#.#..#..#...#.#..##.#...#####..#.#..#.#..##..##..#..#.......#...#.##.##.#.#....##.###.#...##..#...##..##....#.#..###..##.##.#..#.....######.#..####....###...##.##.##.#.#..######.##..##.....##...##.......###.#..####.##......##....##....##...##...#..##.#..####.#.##.#.####.##.##...#...###.##.######..##..##..#....##.##....#######.##.#.##.#.....###...#..##.#....#.####..#..#..#...#..#.#.#####.#.#..###..##.###..#.....#...#.#....##.#...#.#......#.#.#.#####.##.#.#.###.#.#...#####.#.##.#####...#.....#.#.####.#.#.##..#.##.#..##.######.#.#..#.#..#..#..##..#.#....###......#.#.#.####.#..##.##.##.#.#.##...######.#...####.######..#....###.####....###..###....###.##.#....#..##..#....#.#.#.#######.#..##..#....#####.####....#.#...##...###....####.#.#..#..#.......###.##....#..##.#.###.######....######...##.....##..##.#..#..#...#...#.#.#..##.#.#..#....#.#..#.##..####.###.##.####.#####.##...####..##.###..#..#...#.#...##..#.#####.##..#....#...#.#.####.##.....#.####....##.####...#.........##.###.#........##...#..###..#....#..###.###..#..###..###..#....##...#.###.##....#..#..##.#...##....#..##..#.##..#..###....#..###...#....#...#...#...###..#.##.#.#..##.##..###..####...##.#..#...#.........######...#.##.#..###..#...#.....#.###..#...#.###.#.###.....###.#..##.#.##.#####.#..##..###.###..####.#..#.###..#.####........#.#.#.##..##.###..#.#..###.#.#.###...##.#.#...##.#.##.......#.##..#.##.#.#.#.#.....####.#.#...#.#....###.###.#...#...##........###.####..#....####..##..##.#.##.###.##.#.###.#..#...##..##...###...##..#####..##.....#.#...#..#..#..#...#.#.#####...##.##..#.#.##.###..........#.###....####....##.###.##.###..#...###..##..#.##....###....#.#.....#......##..#.#.#####...####..##....####.#.##...####....#.###....#.###..#.#..#.#..#.#.#....#.#..#...#..##.....##.##.##...#.#####..##.#.##...#.##.##.#.#.#.######....#..#.#.###...#.#.####.#...#..###...#..######.#.##..####.
#....#..#.##..#.#...##..##..#.##.#...####.###.#...#...#.#......##.####.##.#.##....###.#.###..####.####.##..##.#.####.#.#..#.##.#..#.###.#.##..#...#####.##...##.##.##.###..###..#..#...#.##..#..#.....#####.#.#.#####.##.##.##.##....#..#.#.#####.##.####.#.#......###.#..#...###.###.#..####.#.#..##.###..#.##.#.#.###..#.#.###......#.#.###..##..#...#.###..##.#.......#...#.###.####.###.############...##.#......##...###...#.#.###..#####...##...#.#..#.##..#.##..##..#...#.#.##.##.##.####..#.##.#.#..##.###...#..#.####........#.##..#..##..#....##.#.##.##..#.###.###...#..#.##..#.##..#.#...#.#.##..###..#.#.#########.#...###.#.#.###..#.#.##..#....#...#...#.#...########..#.......##.#..##......#.##..#....###..#.##..#.#....#...#...#...#.#...#...#.#.###..#.#..##...#.####..##..#...#.#..##.#..#####...#.##.###..#..##..###..##.###.#..#.###..#.####..##.##.#.#....#.#..#...####.####..#..#####....##.##.#.#.##.#..#.#.#....###..#.###...#.#.#.##.###...###.###...####.##..##.#..#...####...##.....#..####.###...##.##.##...#.###...##..##.#.#..#.#..####..#...#####..#..#.....###.###..########.......#.#..#.....#..##....#.....#.###.###...#..#...##.###..##.##.#..##....##.##..#.#..#.##.#######..##.....#...######.#####.....#..##..##....#.###.....#.#.#..##..#...#.##.....#####...#..##..#..#.###.##...#..#.....#.#.##..###.###.#..#.#.####...####....#....#..###.#...###..##.....#.####.#.####.#.#..##...#....#....#.#.###.##..#..#....#...##..##..####...##.##.....#....#....###.#.##.#..####..##.#...####.#.##...##.#.###........#.#.....#.####.##..##.......#..#..###.##.#.#...##.##...###.###.#...#..###..........#.#.#.#..##..#....##.#...#...#.##.......#.#....#.#.###...##...#...#.###.#.#.#.#.#####.###.######.########......####.....####...#....#####.###.#####.#.##..####.....#....#.##.#.##.....##.#.#.##.#.#.#.#.##.##.##.#.####.#######.....##....###...#...#..#.##...#.#.#.#.##.####..###...#......#...##..##..#...##.##...#....###.###..#.###...#####..#.##.##.#.#####.....#.#...#.##...##.#..#..#####.#.###.###....#.#.##.####.##.####.#..
##.##..##.#.#.##.#..####.......##.####.#####....#..####.####.......###..###.#...#...##.....###.#####..#..######..###.#.#.........#.#..#....###..#..#.####.#..###...##..#.#.###...#..##.###..####.########.########...##.....#.....###......####.....##..##.#.#....#####....##..#.#..###..####.#.##..#.....##.##.#.########.##......#.#..#...#.#.##.####.#.#.###...##.##..#.#..##.#...###.#....#.#.#.#.#..#..#.####..###.###.#.#.###....#.####..###.#..###.#.##..#..#.###....#.#....#.#.#.#..##...##.#.....#.##..###.#..###..##..#.##.###..##.#.#....##..##.##...#.#.....#....#.#.#.#.####.##..#.###.#.#.#.##.....##.######.##....#..##..#.##..#.##.#####...#...##.###.###....###...#####..#.####.##...####..###.##..####.###.##.#.#.#..#.#.##..#.###..#.#...#.##..#.####.###.##....####.#.###.#..#..###..####.#.#...##...#.####.##...####.....#.##..#.#...###..##.##...#..##.#..#......#..#.#######..####.#...#...#.#...###.##.#.#..#.#.#...#...##.#.####..#####..####..#...##...###.#.......#.##.#..##.#.###..####....#.#....#####..##.....##.##.#.####.#....##...##.###.##.#.#..#.###.#.#.####..#.##.##.#...###...#...####.###.....##...#####.####....#.###.#.#......#...##.#.##.#####.#.....###.#..##########.#.#.#..#.#######..#..##.#.###.#...#..####.#.#####.#.#..##...#..###.##.#.##.#..#####..#####......#####.#....#....#.##..#.....#####.##.###.#.##...##.####.#..#....#...#######.####.#.#.#...#...##..#...##.#.#..#.##.##.#...#.#.#.######..###...#......##.####.#..#..#.#..########..####..#.##.#.#.....####...####.#.#####..#..####..##.#####...#.##...###...##.#.#.#..#.##.##........###.#.......#.....##..#..##.......###.###.#..##..#..#.#.........##.##..#..##...#.#...##.#.####.....#..###..#####....#.#..########..##.#....##.#.##.###...#.###.#####..#...##.#.####.##.#.#.#.....####..###..#...#.#.####.###....####..######..##.##..###.#..#...###..##.####.#..#..###.#.#######.#.#.....#.#.....#.#####...#####.##..###.###..#.####.####...##..#..##.#.#.#..####.#..##..######..#.##.#..#.....###.##..###############..###.....##.....###.#.####.##.....#.#
.#.###.##..#....####...#####.#.#.#.#.##.#.#.#..######.#######.##....###..#.###.#...#.###.#.#####..##...#...#.....#.#...##.##..##....##..#.##.####.##...#..##.###..#...#.###.#..#..##.#.##..#..#.##..###...#....##.##..##...####.####.#.###....##...#..#.##.###.#..#.##.##...#.##.##.##.#####.###.#..#####.....###...#.###.##.###.##.#...#.#...#.#.#..#####...#####.##..###..###.######...#.####...#.##..#..##..#.###.#.#.###..###..#.#.#####.#.#..#.##....##.#......##..##.#.#.#.#..#.#.#####.#.####..#..#########...######.#####.##..#.#...#####..#..#...#.####.#...####.#...#..###.#..##.###..#.#####...#.#...#...#...#...########.#.####.#.####..#.#####..#.....##...###.....#...##.....#.#..##.####.#.##..............#####.###.##.##.###...#.####....#.#.#.......##.##...#.#..#.....##.##...###..#...#.##...#......#.###.#...###.#.#.....#...#.###.#...#.#.#...##.###...####.####..#.###.###......#..##.#....#.##..#.#..##.........#.#.##.##.##..###...###....#...##.#....###.##..##.....#...#..#..#####..#...##.##...#.#..#.###..##.##...####.#..#.#.######....#.#...###..#.######.##..###.##........#...####.#..##..####.#..#.#.#.#....###..#..#..#.##..#...##..##.#..#.#.#.#####..##..####.#....#..####.#..#..#.###.#.######..##.......###.#.#.####...##.....#..#.#...##.......#.#.#.###..#.##...##.#.#.####.#.#.#..####....#######.######..##.###.......#######..#..##..##.#..#.#.####.#.#.#.#.....##..###..#..###.###....#..#.#..###.##.###.##.##.#...##....##.##...#..#...#.#..#.###.....##.##......##.#####.#..####..#..#.#...#.##.#..####.#....#.#.#.....#..#.#...#.#....##...#.......##..#..##.#.#...####.#..#.##.#..###.##.###..##..#.#.#.##..#.##.#.##.#.#.##.#..######..###...###..#..##..##.....#..######.#....###.##.####...#....##..#..#####.####.##......###...####.#..###....#.####.##.######..#.##....##...####.#.###.#.####..#.#...#.#...###...#####..#.##.#..##.#....##..#...#.####....#...#.#.#.##.####...#..#.#####..#.#.##.#...#.#..######....##.#..#.#.#..#..##......####.#####..#...##.#.#.#...#..........#.#..###.###.##...###.##...#..####...###
......##....#.##..##.####..###....####.#.##..#.#..###.#...####..#.#.#.##.###.##.####...######.#...##..#...#..#.##..#.####..#.#..######....#####.###..#.#.#..#..#####..#..##....#...##..##.###..#......#.#.#.#.###.#.#..###..###.#.###.##..###.#.##.##..........#..#.#..#.#.#.#.#.######.##.....#..##.##..#.#.###..#..##..#....####...#..#...#.#..##......##..##.#.#..##.#..###..#....#.#.#..#######.#...##.###.#.##..#####........###.##.###......#####...##.#..##..#.#..##..##.#...#..#..###....######.##.#..##.##.####..####......#.....##..##..#...###.#.#.#....#.#...#.#.#..#####..#.###....#..#.#...#..#.#.#.##.#####.....#....#..###.....#####.....####..#........#.####..#......##..#.########...##..#.##.#.#......###....##.##........###...###.#..##.#.#.##.##....#.....#..#.#.######....####.#.####...#..#.##.###.##.##.##.##..#.####......##.#..#####.#..#.###.##....#.#####.#..#.#......#...#....#..#....###.###.#....#.#.###.##....##...#.#..###..#.#.#..#.##...###.#.#.##...##.##.#.#.####.#.##..#...#..#.##.#...#.##...#.##..####.###.##....##.####.#....#..#####.#..#....#...##.#........####.....#..#...#....#...#.#...##.##..########.##.##.#.##.#.#.#.....##.##...##.###....##.##.###...#.##.......##.###.###....#.#..#...##.###.##.....##..#.##.#....##.#..#.##.#.##.#..####.######..#.#.##..###.#.###..#.#..#..#.#......#...###....#.#.##.#.#....#.#.#.#.#...###.##...#.##.##....###.#######.#....##.#.#.##..##..#..##....###..#...#######.....#.##.#.#.#..#.#.#..##.##.#.##.#...#...####.....###.#.#.#...##...###.#####.##...#.##......#.##....####....#.######..#.###..#.#..####.##...#..##.####.#######..###.#####..#....#.##.#######.####.#...#.####.#.#.#....#####.##....#.#...##.###..##.#..#.#.#.##..###.#.##..##.....##.#.##...#...#...#.#.#....###.##.####....####.##.##.#..##.....#....##.#.###.#.#####..#####.....#.#.#....#.##.##..#...##..######..###.#.###########...#.#..####.#..#####.#..#..##....#.#....###.####.#.#.##.#....#...#..###.######.#...#####....##.##.#.#.####.##.###...#.#.###...#.##.#####.##..#.#..#.#.#..#..#....##.###..#
......#.##..####......#..#..######...#.#####.#...###.#.#.#.##....#.#..####..###.#.#.#..#...#.#.##......#.###....#.##.#..#..#.#.#.##.##.#..#####..##..#..#..#...##...#..###.#######..#..######.#.#.#.#.####.###.#..###.######..###...##....#.#....#.##.#.##...##..#.#..#####...#.##....#.#.####..#..#..#.#..#.#..###.#.##..##...#..#.#.#..#...###.##..#..#.#####.#.#..##...##.####..###.#..###.##.#.##...#..###.######...#..#......####.###.#.###.#...#.###.#..###..##.#####.####.....#.#.#..#..#.#..#.##..#####.....#.#####.#......#.####..###.##.##.#.##.##.....###.#.##..#...#.###.....###.##.#.####.####.##..####.#....####.#.###.#.##.#####...#.##.#.##.#.####.#.##.#..#.##..##..#......##...#..#.####.#.##.....#..#.##..#...##.###..###########..#..#..#..###...#..###...#.##....##.##.#.#.#.#.##.##.#....##.##..###.#.#.#..##..####.###..#..#...##.#.##.##..###.##.##.#.####..##.#.....###.######.#.....##..##..##..#.#..#.##..#....####....####.....#..###.####.#..#####.##.#.#..####.#....#..####.#.#.#.#.#.##..#..#.....##.#.#..##.#.#####.####......#...#..#..#..##.####......#.#.##...#..####.###....##.###.#...##.#..#.####...#..#..#####..#..#...###.#...##.....#.##.#.##.#..###.#..#..#####.#..###.####.####.##...#.#....#...#..#...#######..#...####.##...####...#..###....#..#.####..#.##......#.###..####...#..######..#.#.....#.#.#.##....##.#...##.####...#....#...#.##.#..##.#....#....####.##....##...####.###.#..#.###..#...#..##.####.###.#.####.##.#.#..#.####.##.#...##.#..####..#..####..#..###..#.....#..#.......#####.###...#.#.###.###.#.#..##.###.#.#..##.#.#.#.#...##.#...##.#..##.##....##...#.##.#.##..##.#.##..#.########...#..#..###.#.#.#.#..#..#..#.######.##..##.#####.####.##.#.#.#.##.#..####.#..#..#....#.##....##.#.###.#.##.##.#...#.##...#...#....##.##.##..###...##...##.#.#.##.....##...##..###.##.###.#..#...###.......##....#..#..####..#...#..#.###..#.########..#.#######.#..#..#####..#.####.##...#....##..######..##.#..#..#..#####...##.##.##.###...###.####.#....#....####.#.##..#.###.####.###....###..#.####....###..#..
.#....#####...###.###.#..#.#....##.###.#.#.#....#..###.#.####...#..###.####.#.#.#..#####...##..###.#..#.#.#..##..#####...###.....##..#...#.##.#..###.###.###.#..#....#.####...####..####.#.####.....##.####..#.#.#####.#...#.....##..##..###........#..##.#..#.######.#....####.....#.....#.##..###.#.......#.#.#.###..#.##.#..##.#...#.##...##.#.####.###..#...#...###.#...##..##.##....#..#.#...###.##.##..###..##.#..######..#.#.##..#..####.###..#.##..##..####.#..#...#.#..####..######.#...##.#..###..#..##.###.##..#.#.....##.#.##.#.#..##..#..#..#.#.###...##.##..#..#...#.#.##.##...##...####..#...##....##..#.#.#...#.##.##..#..###.#####...#....#...#.#...#..#.#..###.##..##.#...#.#.####.##..##..#....#.###.####....###....#####.....####.#.###.#...#.##.##.......#.#####.####..#####...###.#.#####.##..##..#.##.#.........#..#.##.#..##.#.##..##.#.....####.###.####.#..#####..#....#..#.#..####.#...##.#..##..##.....##.###..#.####..#..#####.#...#....##..###..####.###..#.#####.##.###.####..######.#.##.#.....##.#..#.#.#.##.###.##.#..#.#####....###.#.##..###..#...#..###.#....#.#.#.#....##....#....##...#.###.##..####.#.#..#...##.#.....#.##.##.#.##.#...#.##...####.#..####..###.#.#......#.##.#..###.#.#.#.#.....#..#.##....###.#..#####.##...###.#.##..#..###.##..#.#######.##.##....###.##.#.###.##.#.##..##.#..#.###..##..#....#....#...#.##.#.##.....##...#..#####.##...#..##...##.#..##...###....#...#.#...#.####....##....##..#.##...##....#..#.###...##.......###.#..##.##...##.#.##..###..#..#..#####.##.####...###.###...###..#....##.##.##.#......#....#..#..#..#..#.##.......#.#.....#..#..#..#.#.#..#.....#.#.#.##..#..##..#..#.#..#.###....#...#.#...#........##.##..#..##..##.##.#..##..#.##.##.####.#.##...##.#.##...######..##.###.......#.##.#..#..#.#..##.##.#.#...#...##.##..##.#..#...##....#.####.##.#..#..####...#..##....#..#.#####..###...#.#..##...###..##..##.#.#.#...#.##...##..###.....##..#.##..####.##.#.######.....#..##....#.#..##.#####......#.#..####...#####..##...#.##.###....##.#.........#.###..#....##..#..##..##
#.#..##.###..#.#.....#..####...#.#.##...#...#.#......#.#########..#..###..#..#.####..####.#.##.#.#.....###.#.#..#..#.....#.....##.#.##..#.#..#.####.#####.##.#.##..###...########..#..##.#..#.#.###.#...##.#.#..##..#....####.#..##.##.#....#.#.##.#..##....#####.######.#...##.#.#...#...###..##.....#.#.#.##..#.#..#.##..##......##..###...##....#....#...#...#..#.#...######....#.##...##.#........###.##....#.####...#.#.####..#.###..##..##.###.#.....########.###.##.#.#..###..##..##.#.####..#.#..#...#.######.#..#...#.##.#.##..###.###....##...#.#..####......##.#.##.#.#..#..##.#....###.#..#.##..#..##...##.#...##..#.##..#..#.#..##..#.##.#.#.#.###.#.####.#.#..#.##....####.#.##..##.#.#.....####.###.#..###.#.#.........###.....###....#.#.####...##..#....#####.#..#..#..##.###.######.###...##..##..#.###.##...###.##.##..#..#.##..#..#.##.###..##.#######.##.#..#.#.#.#....#######..#...#....##.#.#.#.#######..#..##.##..#...#.#..#...###..##..####..###...#..##.#.##..####.....##...#....#.#..###..#....##......#...#....##.#..#.#.##..##.##.#..##.#..##....####.#....#...##...#......##..#####.....####.#...#..#..##.#..#####.#####...#.##.#..#.###....#...#........##..####.#####.###.#############.#.#.##.#.###.#.#.#....####...###.###.##.#...##..###.#..#.#.#..#.######....##...#.#####.##.#.#.#..#..###..#....#.#...#.#...##.##...#..#.....###.##.#..#.#..##.#....##..#.#.###..#####.#####.#..###.#..##...####...###.#######.###....#.....#.#....###..##.#.##..#.#####..##.#..#.##.#...#...#.#.####...###.#.####.#.##.#...#.######.#.#...#.###...###.#....##...#.####.###...#....###.......#.#..#.......###..#####.#...##.##.###....##.#.######.###..#.#..###..###.###.....#####......##..##.#####.#.#....#..#.##.#.##...#.#..#.####...#..####.##........#.#..#..##.####...##...#.....##.#.##...##....###..#....#.#.#..##..#.####.#.#.####..######...##.#####.#.##.#......#..#...#.##....#.#.##.#.#.##.###.#.###.#.....#..###..##.##...#...#.###.###......##.#..#.###....####.....##.#..#.###..##..####.#...#.#.#..#.#....##...#..#.##.#..#.#.#....###.#
#..##.#...##.#..##..###.###..###..##..#.#.......##.####.##.###.##...#.#.###.######.#..##.##.###..#....######..####...###...#.####.#.#..##..##.....#....###.#.#.......##.########......#######..#..#.#####...#.#.#.####.#####.##...###.######.#.###.##.#####...###.#...##..###....##..#.#..#.#####...##.##..#.####..####...#.#.####..#...###.##...#..#####..##.###.#.###.##.#####.##....#########...#.###.#.##.#.#.#####.#...#..#.#..###.#..#....####..#...#.#..#.....#...##..#...##....#.#.##...#.#..#.#.###.###...#..#.#....#..###..###....###..#.#.###..#.#.##.....##.##.#.##.....##....####.....##.#..#.##.###..#.....##.#..###.######.......#.###...#.#..###...###..#.##..#.#.##..####..#.##.......#..#..#.###......#.#####...####.##.#......##.#.#..##.###...........#.#.##.##.#.#.##.##...##..####.####.#.###.#.#.##..##.##..#...#..#..##...#.##...######..###.##..#.###..##.#####.#.#...#...###..#######.###..###.#....#..##.#...#..#.#.#.#.#...##...#.####.#..##.##.#.#..#.####.#####.#.#.#....#.##.###.###..#.#..#####......#..##.........#.#.#.##....#.###...#..#.##########.......###.#..#.......#..##....###....#.#.##.##..###..#.####..##....#.###..##...##.#...###.#.#..##..###..##..###..#####.#.#.#.###.##.....#.####.###..####...##.#.#.##......##.#.###..#.#.###########....##.##.###..#..#.#..#.#.#...#####.####..#.#..#.........#......####..###..###.##.#..#.##.#....##..####..#.##..#.#.##..##..#.#.###.#..#...##.#...###..##.###.#####...#####.##.####.##.##.#..######..#.#.....#..#.....####..#.#...###....##...##.#.#..#.####........##.#.#####...#.##..#####...#.###..##.####..##.#.#.##..####......#..#..##.#..###....###..#.##....#...###.##...#.#.#.###.##.#..#..#.#...######.#....#.#.#....##.##..####.##..#...####....##...##.#...###.##.#####.#.......##..####..##.###.#...######....##.#.####..#.##....##.#..#.#.#..#.#......###.##..#....#..#..####..##.....##.#..##...##...##.#..##.##..##.....##....#..#..####.#.#..####..#.####..#..##.#....#....#.###.###..###..........#..##.#.###..##..####.#.#.#.#.#..##.#.##.#.#.#......#.##....#.###.
#.#.#..####..#.###.###..##.###..##...##.##...##...##.#.##.##.#.##....#...###.###.##.#.#..##...#..#.#####.#..#...#......#.###...##.######..#.#..#...##..#.##.###.#.##.#.####..##.#...#....#...##.#.#.##.#.##..####.#.##.#....##...##...###..###...###.##.#..#.....###.####..##.#...#......##.#.###..##..#.......####.......##..#.....#.####...####..###..#####.##.####..#..#.#.#.##..#..#..##...#.######...##..#######...#.####.#.###.#.#...###..#...#...###.......#.#...###.#.#..##.##..####..###.#.######.#.#...#.####....#.##..#.####.......#....#.#.#..#....##..##..###.#..####.#.....#...##..#....#.#.##.#.#...#..###.##....###.#####...#.##..####.#####..###....#.##....######.####.####...#.#.#.#.#.....##..#.###...#..#.#...#.#...#..#.##..#.####.#.#.###....######.#..##..#...#...##..#..##..#.##.##..#.##.#..#....#.##.#....#.....##.####.#.....#........##...##.#.####.##.#.#####...###.#.###..#####...#...##.###.######.###.###..##.###.##.#.#.##.##.###..###...#..##.#..#..#..#.#..#####...###...#.#.........###...#.##.##.#.####..#.###.#.##..##..#..##..#..#.#.###.##.##.##..#.##......#..#.##.#....#..#.##.#.#.######...###.#.....#.#.#.#....####.#..#.#.#.#.#..####..#...##...####...##..##...###.##.###.###.##.......#.###....#....#...#....#.#..##..#.#####.#.#.##.......####.##..##.#.#.##.##....#.###.#####.##.#...#####.##...#.#.##.#....#......#.###.#.##.#..#.##.#..##..##.#.###.##..##...#...#.####.##.#.....#..##.#..#..##.#.#..#..####......#..#.#.##.##.##..##.###..##.##..#...####...#....####.##.##.####...##..###..#.####.#......#.##.###.##..#.####..####.#....##...........#..#####.#####..#.#...##.#.#..##.##.###.#..###########.###.##..#..##.#..#.####.#....#.#...##..###.#.#..#.....##.....#.#...#..#######.####..#.##.#######.##.....##.#..#####.#.####.....###...#...#.#####.##.##..#.##.#####.#.###..#..#.##...######....#.##...#......#.##.##..#..##...##.#.####.#.....##.#.....#.#.##.##.##..#..##.#..##..#.#.##.#.#.#.###.#...###.###....#.#..#.#.##...#..####..#.####..##..#...#.#.#..#.....#.#...####.##.#...............###.##....#
#.##..#.######..#.#####.#.#.#..#.#...##.##.#...#...#..#..#.#.#..####.#...#.##..#.####.###..#..##..##.#..##..###.#...###..##.##########.###.#.###..#.#..#.#..#.#.###.######...##.#...#.#.##.#.#..#.####.##..####.###..#.#.#..###.#..####.#....#..#.###.#.#...#####.#..#.##.####..##...#....#.#..#..#.####.####.#..#..##.#...##....####.##.####.#..#....#.######..#....###......##.#..#...#.#.#..#..#..#...##.#..#...#.#.######..###.##..#.#...#...####.#....###.#.#####..#..##..#####.#.######..#.####.#.#.#..#....#.#....##.....##...##...####....##..###..##.#.##.#........#...#..#.#.###...##....##....#.#.###....#....#.##.#....#.##...####..#...##..####.#...######.#...####.##...#...#..##.#####.###..#.#.#.##..####....#########..#...#.##.##..###...#.######.#.##..###..##.#.##..#######..###.#.##.#.#.#.#.##......#####.#.###...###.#.#.##.##..#..#.###..#.##.##.#.......#.#.#..##.##..#.#..#.####..##....##.#...#.#...#.#..##.#..###.##...#.##..#.######.##.#####.######..######.#..#.#.#..#...##..#....#.#.#.##.....#...#...#.##....#.#######.#..##.....####.#...##..#.###..##.####.#..#..#.#..#.....#.#.#...##..###.#...#...#...###.#.###....##.##...##.###..#.#.#..#.#####.#.##.#####..#.#...#..###.#.#......###..##.#..#.#....##.###.##.##.#.#####......#.###......#..#.#..#.##..###..##.##..#####.######.....####..##...#..#...#..######...#..#.#.#.#..#.##..#.#..#.#.###...#..#.#.###..#.#.##.#..##...###....######..#...#..#.#.#...##.#..##....#.#..###...#......###..#..###..#.#.#.#...#..#..####.##...#.#..#.##.#.#.#..#.##.#.#..#.#.##..##.#........#.##...#..#..#########.##....######..####...###..#....#.#.....##..#...#..#.###.#..#..#####.##.....###.#####..##...##...#.##.##....###.##.#.#..##..##.#.....#..####..#..####.###.#.#..#...#...####...######.##.#.####.#..#.#.##...#..####..#..###.#.#.####.......#.#.#...#.........##.###....######.#######.....##.#.......#.##.##.#..#..#...#...##.###.#.#..##..#.#..#.######...#.##.#.#.#.#.####.#.#...###.##.#####.##..##.##.#.##.#..####.#..#..#.#####.....#.#..###...#...###.#....#..###.....###...##
.###.#.#..####...##.###.###...#.##..#.###..##.###.##.###...#.###.#.#..#......#.#.#..#.....##.#.#.....##.#...##.#.#..##...###..###..#....#...#.#.##...###..##.#.##...##..##.##.#..#....######...##......##..#..#####...#.#....#.#.##...##.#.##..####.##..#.#.##.#..##.###...##.....######..#####......####.......##..##.###.#..###.##..##...#..#..#..#...##..#..###.###.#.#......#...####.##.#.###.###.#.#.###..######.#######.###.....##.##....#.#.##....#.#..#.##.#.###.###.#...#.##..#...#.....####..##.##.#.#..##.#.##.#...#..##...##.#..####.##.....#.###...#.##.#.#.##.#..#.#..##.#...##.#..###.####.####..###.###..##...#########.##.....#.#.#.####..#..##..#####.#..#.#.##.#.##.###.##.#.##..#...###.###.#.#...##....##..#....###.#...#####.##.##.#.##.#..#..###...##..#......####.###.#..#..#.#####.#......#######.##.#.#.####.####.#..##..###...#..#....#.##.########.#..##.##..#..###.###.##...####...##..###.##..##..############.##...##...##.##.##..##.#....##.#.#.#.##.#.##...##.##.....##.##...###..#..##...#.###.#.#..####..##...###.#.####...#.#....##.#.##.####.#########.###..##...#.#####..####.#..#.###...#######.##.###......#...###..#.##.#.#.#..####.#.##.#####.#.#..##.###.####.#.####.####..#.......#.######.....#..#........##.###..##...##.##..#####..........####.#...##..#..##.#....#.####.....##.#.#.#...###.#..##.##.#.##.#.#..#..............#..###.######.#.#...##.#..##.##.##.##.#.#.#.#.##.#..#.##.#...#.#.##.###.##.###.....###.##..##...##...###.##.#.##.######..####....#.##..#..######.#.##..##...#.#.#.....##......##.##...#..####.#...#.##.#.##...#.#..###.#.#.##....#.#.####.....##..#.##..#.#.###.#.#####.##..#..######..##...##.####....####.#.#..#..#......#.###.#..##..##.#.##..##..#.#.....#..###...#..###.##.###...#.#...#...#....#.#.#######..##.######.......###.#.#.##.###.#.##...#..##.#..#.....##.##...#.##.###..#.#.###..##.#....##.###...##.####.....##.#.#####.####.##.###..#.#.###...##......####...#.###.#.#..#.###.###..#.#......#.#..###......#..#####.#.########..#.####...###..##..#.##..#...#....##.#.#.##...#.#
....####..#.####...#...####...###.####.##..###.##.#.#######.##.#..#..##.##..###..#...#.###.###.###..#.#......#.#...####...###...####.#.##.#....#.##..##.##.##.#..###.#...#...##...##.#.###.#....#.#.##.#.#..#.#.#.#...########.#....##.....##.###.###.#..#..#...##..#..##..........#.#..#..##.#...#.#.....#.####.##.#.#.###.###..#..#.#.#....#.####.###.#.#...#####.#...##.....##.###.####..####.####.#....#.#######..#..#..#.#.#.....#..#.##..###.#.#.##.##....###....#..##.####.#..##..##..###.#..#.###.#...###..####.#.###.###..#.##.#.#######.######..#.....#...#..#.###.##.####.#..##.....#.#.##....##.#.#.#..#...#..#..#.##.#....###..#.#.#...###..##......##.#.####..##......#####....##...#.####.#.#######...#.##...##.####.###.###...#.##.##.#.#.#.#.######.#...#.##...#...####...#.#..####.##.#.##...###..#...#..........###.#...##...#......###...###.#.....#..##...#.#.######.#####..#.#....####..########.########...#.#..#.#.##.##..##.#####...##.###.#####.##..#...#...##.#.#...######.#..##.#.##.##.#.....#.....#####.###..##.#####..##..##..#...##...##.###..######..#..##.##.##..#.##.#..###.......#...####.###.#.####...##....#.#..#.....#####..##.......###...##....#####..##...#..#......#..#..#.#.#...##.#.#..#.#..#.##.###...##.....#.##...##.#.#..#....######.###.###.#.###.####.#.#.##.###.#.##.##....#..#...####.####.#..###.#..#..#.#...##.##..#..####.#.##..##.#..#.##..#.#..#...##...###.###.#..#.####..##..#####....#..####.#..#.##.#..#...##.###.####..##...###..#.#.#......##.###.##.#.#.###.#.##.###...#.#..#.#.....#........##.##...#.#..#..#.#.##..#.#.#.#.##..###.####.##.######..#.##.##.........#.####.###..####....######.#.####.###.####.##.#..##.#..##..#.#.....#....#.#.#...#.#..###..####...##..#.#...#...##.##..#...#....##.#....#.#.#......##.#...##..#.##.##..#.##.##.....#....##..#.##....####.###.#.#.#..#.#..###.##.##.###.####.....#.#.#..##.##..#..##...####..###.##....###..#..###.####.#....#.##.#.#..#.....#..#..##.#..##.#.#......#..#..#.#..###..#..#..########.....##.###.###.....#.###..##.#..#.#..#...###..##.#.##..#
..#..#.##.#.....#..##.#.#####..##..####..##......#..##.#.#.#..##.##...#.##..###.#.#.##.....#.##.######.#...#.##.....#.......#.#..#.##...####.###.###.##..##.##...###...#..#..#.###..######.#.##.##..###.###.#.....##.##...##.#.#.#....#...#..#..###..#.####.#.##.##......##......#..#.####..###.#.#.#.####..#####....###.##....#...##.#.####..#...#####..#..#.#.#..#...###....##.#..#..##..#.....##.#.######..#.#######.##..#.##.#.#.###.###########.#######.##.#.#..#.##.#.####.#......##...###.#.#.###..#......##.##.#..####.....##..#.#.##.....#..#.##.##.#..#.#...#..#...#####.####......#####...##.#.####.#.#.###..#..#######.#....##....####...#.#...######....#.####....#.#.###..#.#...#..#.....#.#..##.#...#..##.##..#.##.....#..............###.###....#.#.#.###...##..###.##.####.#.....##.#.#######....#.##..##.####.###.##...#.#.##.#..#..#.####.....#....####...###..##.#..##...##.#..#..#...#..#######...###..#.......#.#.#.###.##.##...###.###...##..#.##....#...#.###.##.####.##..##.....##....##....#.....###....##.#...#.##..........###...#..##.#.#...#####...#####.##.####.#..###.#.####.##.###.#.#.##...#.####.#..#.#.###...##......######.#...####.#..##.####...#..#..###......#####..#.#..#..###..##...#...##...#.##...#.#..##..###.#....#..##.....#....#..##.#..#.#.#......#...#.#.#..#..#.#.##..###.#..#.##..#........#######..#..##.#.##..#..#.#.###.####.#...###.....##.#.##.#.#.##.##.###..###.###################.#.#...#.####...##.#.##...#..#.####....###.###..##....##..###.##...#.#..#.#####.###.#.#.##..###..##..#...##.#.....##.....#..######.....#....#.#..#....#..#.######.##....##....###..#.#..#.#.#.##.##.#.#.######.##.###.###..###.#..###.#.#...#.###...#.##.###.#....#..##...###.#####..####.##...####.#..#...#.#...##.#.##..##..#.....#####....#..###.#..#..##.##.#.#..#.##...#...#.##.#.#.#..##.....#.#.#...#.#.###..#.....#####..#...#..####..#####..##..#...#.#####...#.##..#...###.#.#.###.##.##...###.#....##..#.##..#..#..#.....#####......#####..##...####....#.##.#.#...#.#..#####.###......###.##.#.###.#....##.####..#.#..
.##..#.##..##..##.#...#..#.#.###.##........#.##.#...###.###.#..#..####....##.#.#..#..###..##...####.#..##...##.....##...###.##.#.#..#.##..#...#.....###.###.##...###.#.###.#..###..##.#.####.###.##.#.###...##.#..##...#....#.####..#.####.#.###..#..#.#.#..#.##..##.####.##..#...#.###.##.#.#####.##...##..#...#..#.##.#..##..#.#..#.....#.#####..###.#.#.....#.###.####..##....#....##.#....#..###..###.###....#....##..#.#..#.##.#.####..##.##.#.##...#.........##.#.#.#....####.##..#.#######....##.####...##.##.......##.#.#.....##.#......#....#.#..##.#...##...#.#...#...#.#...#.#..##..######.#.#......###.####.########.###.#.....###.####..#.######.#....##.#..#..##..#.###.##.#.##...###...##.....####...#.###...##...#....#..#..#...#..#######......#..#...#.##....#......###......#..#....#.#######...#...#.#..#..#.#...##.##...#...####...#.###....#..#.#....###.#.#.###...#.#.####...##...#.#...####...###..#.#.#...#...######.##.####.#...##.#..#......#####..####.#...#...###.###.#.#...####...##..#..#..#..##.###..###...##.#..#.####..#.##.#.####...#......###.#.##..##..###..##..###....#...#.####.###..#....#####.#..#.####..##.....##.#.#.###.###.##..#####.######.##.##.##.####.####.....#.#####.#.##..###.#..####...#..#########..#..#..###..#....#..#.###....#...#.##.##..###......#.##....#..###.##.#....#..######..#.#.##.###..##..####.#.#..###..#....##...#.##..##..###.#...##.#.#...##.....#...###.#.#.##.##.##.....###.#..###..#....##..#####.##...##....#..###..#...###.#.#.......####...#.....#######...##..#..#...#.#.##..##.#####..##...#.#...###.#.#..##.##.#..#..##.....##...#...#.#.#..#....###.#.#.#......###..#.#.#.###.#..#..#.####.#...#.###....#..#.###..#.##..#.#.#.######.#...#......#....#.#.##..#...##..#...####.#..#.##.#..#.#.#######....####.###...#.###.###..##..#.#..#.######...###..##.......#.###...#.#.#...##.#.##.#..#.#.#.#.#.#.#.#...#...#.##.##..#.##.#.....#.#...##....#.#.#.#.#..##....#..##..###.#.##.##..##..#.#.####.#.#.#######.###.####.##..#..###.#.###.#.#..#..#.#.##.#.#.##.#.####..#.##..#.#..####..####.#
#..###.###.#.#.#####..#......#..#####...#.#.##.#...#.#..##.#.#.#..#.#.##..###.##.#.#######....###...#..##.#...#.###.##...##.#.##.##.#..##.#...##.#########.##..#..#..###..#..###...#..#..#.#..#...#.####..#######..####......##..#..#.#.....#...#.##.#.#.#....#...#..####..#..#.###.#.#..#.##....##..###.###.##.#.#.#..#.#.##.####...#..#...#.#.##.##.##.#####....##.###.#.##..##....#.#.##...####..#..##...##.....#.####..#..........##..#.##...#..##.#.#.#.##....##.#..######.....#..#.##.#.#.#..#####...#.#...####..##...##..#..#...##.###.#..#....##..####.#..#..#....#.#.#...##.#....####.#.##.###.#.#.#.####..##.###....#.##..###.#..#.#.....##.#.#..#####...#.#.#.#.#....#.....###.#......#.#..#...#.##.#.#...###....#####..#.##.....#.##..#.#.#.###..#.#..#.#######..##...#.....#..##..#..##...##...#..#...#.###.##.....#.#.##....###.##.##.##...###.##.###.#...######..#.##.#.#.#..##....#####.#####..###..###...#....#..#.###......#..#.#.#..#..##..####..#...##....#.#######.##.#.....#.#.###.###.#.#.##.#..#.##..#.#.###...###...####.##.#.........#....####.#####.#....###....#.#..#..##...###..#..#..#.#.......#.##.##..#...####...##.....#####.#.#.######.....##.###.###....#...#.###....#.#...###.###..####.##.....#...####.#.###.####.....##.#######.#.#...##.##....#..##...#.#.##.##..####.##.##.#.#.#####..###.#...#..#......###.#####.......#.##.......####.#.#####.##...#.#.##.####.#.#...##....####....#....##.........##.#.#..#.#..#.####.#..####.#....######....##..##.##.#.#.#.#.#####.....#..###..##.###.#.##..#.#.#####......#...##.##..####..#....####..#.##...########.##...##.##....##.....#..###...#.#.####.##.....#..###....##..###..#.#.#.#.#####.#...##..###..#..##....##..###..#...##...#.#.###....#..#.####.#######...#...##..######.......#############.##..#.....##.#..##.#.#....####...#..##....#.##.#....##.##..##.##...#.##.#..#......#.#.#.####.#.##.#.#...##..####.#.#.#.....##.#.##.######...#..#.###.#........#..#..##...........#...####.###...###......##....#####.##.##..#.#..#.###.#.#.#....###.##..##..##....#..###...#.###.##
..#.####.####..#........#...###...###..#.##.#..####.###..#....#.#....##.#######..#.##..#.#..###.#########.#.##.##..#......#..##...#.###...##....#.#...#...##...#...#..#.#.##.####.....#.##...##...#....###...####...####..#.#.##......##...#...###...#.##.#.#.....#....#####.##...####.#.#.###.##.##.#..#..#####...#.##.....###..#..#..#.#.#.##...#..#....#.##.###....#.#..##.#..#.#.#...#####..##.##...##..#.#.#####.#..#.##.....#.##........#..#.##..###...###.###.#####.#.####..#..#.##.#...##..#..####..#.#..#.#.####.#.##..#...###.#..####.#..##..###...#.......#..#####....#.###.#.#...#.##.#.#.###.#.#####.#.#..#.##.##.#..##....#.#..#..####.#.#.#...###...##.#.#.#.#####....#.###.##..#...##.#.###.#.#.#...#.#....##..###.##..#...##..#.#..###..##...#######..###..###.###..#.###.######.#.#.##....####.#.#.#.#.##.#..#.###....##.#.#...#######.###...#..###..#.#....##.#...##..#..#.....#.....##.#..#.###..#.....#.#..####.#.....#.#...#.#...##.#.##.#....##....#...###.#.......###....#..###.#...##..#...#....#....#..#..####.##.#.#..##..#..##.###..####..#.#####.#....######.##...#.##...........##.....####.#.##...#.####..#.#..###......####...#.#####..#.#.#..##.#.#..###..#.##..#...#########.###.##....###.#...#.#.##.#......##...##.#..#.##.##.....###..#.#...#.####...####.##..#.###..##..##.####.#.#.##..##.##...##..##..##.#.#.######..###...#.#...#...####.#..###..#...###...##..#.#.#...##..##....#....####..#..##..###..####..............####..###..#....##..##.##.##..####.#.##..#...#.#.##..#.#..#.##...##..#...#.####.#.#....#........####..#..#.#...#.##..##...##..#.#..#......#...#.#.###...##..#........#.##..##.#####.#.#..##..#..#...##....##..##...##.#..#.##.######..#.#.#..#..#.#.##...######..#..##.###.#..##..#......#.....##..##...#.###..##.#..#..######...###.#..#####.##...######....##.##.#..##.###.##......##......#.#.##.....#.....##....#...###.##.....#.###..#..##..##.####.#####..#.####.#...##.#..##.####.####...#.##..#...##.#.###..###.#####...#...###......#.####....###.##......####.#.#...#..###.##.#####...#.#.##..###..
#..#.#.##..#.#..#...###.#.##....#.##..##.#.##....#.#...##.#.#..#.#..##..###..#######..#..###..#.#..#..##.#.##.......#..####..#.#...#..##.##.....#..#..##.###...####.##..###.######...###.####..#.###..##.#...#.....#####...#.##.#..##.####..#.##..##.#...##.##..#####.##..##..###..###.#.##..#.#####.#.##.####.##..#..##..###..#.#.#.#######..##.#.#..##..#....#......###..##..###.#....####..##..#.#..###..####.##.....##....#.#..#.###..#..#...#...#..#...#..#...#...#..#####...##..##.#.#.#.#..#.##.#.......#######..###.#.#.#..#...#..#.##.##....#.#.#.####.#.###...#...##.#.#.##.##...##....#..###.###.##.#...#.##..#....#.###..#.#####..######...###.#..##...#.###.##.#...#.#...###..########...##.#..####.#.....##....##.####..##...##.##..##.##..####........#..##..#....#####....###....#.####.##.#........#.##.....#..#.#..#......#.##..###.###.#..##.#......##.##..#..#.#.###...##..#..##.##.##.##....####.##...#.....#.#.###..####.#.###.##.###.###...#..##.#.#...###..####.##.#.####..###..##..#..#...##....#.#..#.#...#...#.##..###...##.......#..###..##..#.#.##.#..#.#..#....####..##.#######.#.##...######.##.#..#.....##...##..#.#####.#####.#.###........#.###...##.#...##.##..#.##..#..#.#...#..###....####..####..#..#.#.##..##....####.#.##.####..##.#.#...#..###.#.#..###..#.#.####.#......##...#..#...#.....###........#.#.#######..###..###.......#.#......#.###..####.######.##.#..#....#..#..####.#..#...###.#.####.########.#....##..##..#.#####...##.#.#.....#.###.#.#.#....#...#.#..#...#.#.#..##..#####..####.##....###..###.#.#.###.#####.....#....###..#..###.###...#####..#...###...#....##..#...###..###.####..#......##....###.#........#..#.#.#.#.##.##........##..#.##.##..###....######..#..#####.#...#.##..#....#..##......###..#.#.#....##....#..#..#####.##.#.....#.#.##.####.#..##..#...####........#.#.#.#.#..###########.#.#...###.#.###.###.#.#####..##...#.#.##.###.#..#..##..##.#..##..#..##..#.####..#..##.#...###..#.#...##.#########..##.#######.##...#....##.#....#.##.###.##.#.#.#.#.....######.......#....#.#.##...######.
##..###..#..#..###.#.....#.#.#..#.##.####.#..##..##..#....#..#####...##.#####.#..#.##.#....#.##....#.....#####.##..##.#......#...#...#.###....##.....##.#...###.#.#.#.#...##.#..##..#.##.#..##...#....##..###........#####....##..###.#######..#..#.#.#..##..#####....#.##.#...#.....#.#...#.###...#..#.##..###.....###..#...#..#.#..###....#....###.##....##..#.#..#.######..##..##.####.##.#..####..#.##.........#.#.#.#.##.##..####.#.####..####.##.#..#...#.###.#.##..##.#####........#.##....###...##.##....#.######...#######.#..#####.#...#.#.#....#.#.#..#.#.#.#####......#.#.....#.##..#..#.##...########.#####.#.###.###....##..###....#..#####.#...####.#..###...#.#####.#..##.##..##...#.####.##.....#.####.###..#..###.##....###.##.#.##.###...##.#..#.#.##.#.......#..###.#.#..#..###.#..#...###.#.#........#....#..##..#.##..#...#.#.......#..#.####..#....#.#.#.#.#...##.##...#...#..##.####....###..##....########..#.###.####....####.#.###.....##..#######.##.#......####...#.##...#####.....#...#..##.###.#..###.###.####.#...#.##.#....###..#....#.###.##.#.###...##...####.####.###...#...#...#.#.###...##....##.#.##..#..##.###.##..#.##.#.#....###..###...#..#...#.##.#..##.#..##.....#.#..##..####.#####...##.#..#...#.####.....###...#...###.##..#.##..#####...#.###...####.......#.##..#...##..###...#.#####...#...#.#............#.##....###.#.#.#..###..####.##.#.#.#.#.#..#.####....#..#.#..###..###..#.#.###.#..#...#....#.#.##.....##.#####..#....##..####.#######.#..#.#.##...#.##.#..#####.#.#..#..###.#..#..###.#..##.#.##.##..#.....#.########.###...#.####...##.#.###.####.#.###.#.##..#.#.#..###.#....#.#.###..##...#..###..#...##.#.####..##.##...#.#######....#.###.###.#..#..##.##..##...#.#.##..#####...##.##...#....##.####..###..###.##.##..###.###..####..##.....#..##...##.###..#.#..##.#.....##.#.#...###.####.#....##.##..###.....###.###.#..##.##.#...###...#...##.##..#..#..#.####.........#...#.######.#.#####..##.##.#...#.##.#.#.##...###..###..#..####..##..#..####...#.##..##.#.#...#.##.....#..#.#.#####...####..##.#.##
.#...#####..##....##.#.....###.##.###.##......#......#......###...##...#...#..#.###.####.#.#..###.#.##.#..######..#.####..#.#..#....##...###.#.###.####.#....##.##...#.#..##...#...##..######....#.......###.#...#.........#....##.#..#..##..#..#...######.#.##.#..##....#####.#####.###.#.##.#.#..#######.##..#.#.###...#..###.##....#......###.###..#..##..###..#....#.##..##.#.#.##..#.#.#...#####.#.###...##.######.###.....##..##.#...####..#.#...###.#..#####..#.##.###.#.#.####....#.##.###.#.#..#.#..##.###.....#....#.#..##.##...#......###...#....########.#....###.#...###.###.####...#.##..##.#.#..#.#..#.#..###.#.#####.##..#..####.#.##.#.#..#.##.##.###...#....###..#......#.#.#..#.##.###.#.#..##.#.##......#.#...###....###..#.##..####...#.#.##..###.#...##.#.#.#......#...##.##...####.###.#..###....#..####.##...#.##...#.##.#.#...#.######.......####.###.#.##...#...#.#####..###.#......#...#..##...#.....##########.#..####.#####.....######..##..###.###...#...###.#####.#....###..##..######.#######..#.##.#.###.#.#.###.###.....##.#.###.#.####..##..#.##...#.###.####.....###..###.#..#.##.##.#...###..##.#.##.#..#..#.###..######.#..###...##.#..##..##..##.#....#.......##...#...#..####.#...##.###..#.####....#.#.##........#######.##.##..#.#.....##.#...#....#.####.##.....####.###....#.###...##.#.####...###.##..##.#.....###...#.#.###.#####.##..#...#.###...#....####.##..#.##.##.#..#.##.###.#.#..####.#.#####.##..######.#.##.##..#...##..#.#.###.###.#.###.#.....#.###.#.#...###..#...###...#...###.###.##.###.###.#.#.#.#..##.#..#.#..######.##...#..####.#.....#######.#..#.##..#.###...#.#.######.##.##...###.###..######.###.....#..##..##...##....##..#.#.#..#.##.....#....###.###.####..#...#.####......##..#####......#.#..#..#..#...##..#...#...#...##..##.#.#.#########.##....#..##..#.##...#.#.####.#.#######.##..###.....##..####.#.##..#..###.#....###..#.###...####..#.###..##.....##.........####.###..####.##...###....#..##.#..####.#..####.###.#.##.#..###...#...##..#.#..##.#.#.##...###..#..##...#.#..#...#......#.#..
..#..#.#...#.#..###.#....####.##.####..#.#.##.#.##.##.#####.####.#.##.#.###...#......####......##.##.#####..####.###.##..#.##..##.###.....#.....###.###.#....##.#..##.#.##..#..#...##.#..#.#..##########.##.#..#.#.###.#.##...#....##.#.###.##.#..###..........#.#.#...#.#############.###...#..........#...###...#..#....#..###.##....#.#.#.#...#..#.##..#.##...###..##...#.#....#.#..##....#.######.##.##..##.#.##......#..#....##.##..#..######.##.......##.#.#...##.#.#...#.#.......##.#.....#..#.######.##..#.....##.##..####.#.######...#......#####.##..###.#..##.#####.#...#..##...#....######....#..#.##.######.##.#..#.#.#.#.##...##########.#.#....######.####..###.###.#.##.#...##.####..#.#.#.#.##...#....#..###...#####.#...###.##...#.#......####.###..####....#..#...#..##.#..#.#.....#.###....#..#...##..#...#####...#..#####.#...#.....#.....#######...#..#...#.##.##..##.#.###..####.....#..#..#####.........###.#..####....#.#.####.###....#####.#..#.....###.......#...##..#####.#.##..#.#.##..##..#.#...#.##...#.##..#..##..#.####.###.###...####.#...#..##....####.....#.#....#.#...#..#..#.##.#.#.########..##.#.#.##.###...#####.#..#..#..#..#...###.###.....##.#...##.#.#.#.##.###..###...#.#..###...###.#####.#.##.#.#.#########.#......#..#..#...###.######..#....###.###..##...#..###..#.##...#.##.##.#....###.#.....##.##.##.....#.######.....##.###...##..#.#.###......#..#.#..#.#.#.#..#.#..##...#...#.##..####.##..#...#..###.#...#......###.#.....##########......#...#.###.#...#...#..######..##.#..##...#####....#.###.###..#..#.#..##..#..#..###...#.#####.####..#....#...#.######.#..###..##.###.##....##...###...##...#.#..###...#..######..#......##..###.##.###....#.......##...#.######.##.#.#...#..#..##.#####.######...##....###...####...###...##...#...#.##.###.##..###.#....#.##.######..##.#.........#######...#.########..######.##.###..##.#.#..##...##.#..#..##.#.#...#..#####.....#.##.##..#..#..##.##.##.#.#...#.###.##..##..##.#.#.#....#.##.........#####.###.##.##.#####...##..#...##....##..#...#####.#...###.....###..
..##..#.##..###....##..#..#.##..##.####.#.##.......#.#......##....#.###....#....##..##...#...#.###.##.##.#..##.##.####..#..#..##.##.#..#.#.####...#.#.......#...#.##.#....#..#.##.#.#####..###.##..####.##.#.##.#.####.##..#...#####.##.#.####...##.###..#####..#.####.#.#.#....###...######.#.#.#...####......#.#.##..#.####.##..###.########.#####.#.##..#.##.#...#....###.#.####...#.#.#...#.#..######..#..##.#.....##.#.#.#.##..#.##.##.#.####..######...###...#.#.##......##.#.#.#####...#.###.#..#....#..#...###.....#..####.#.....#..######...##..##..#.#..#.##..####.#...#####..##..##.#..#...#.#.#...#.#.#.###..##.##.#...#...#.#####...#..##....####...##......####.#..##.####..#.####..#.#.#..#........##..#.###.###.###.##.##..#....#.##....###.#####..###.##.###..#.##.#.###.###.###.##.#..##.#.########......##..###.#.####...#....#.######.#.#.#.#.#####.##..#..####.##..##....#.###......#..#..##..#.##.#####.##.#....###.#.#.#.##......#..#.#.#.##..#.##.....#..###.#..#.....#..####..########.#...#.#.#....##.#####.##..#..##....##..#..##...#.##..##.##..#.##.#..##...###....##..#..##.######.#.#..#.##.#.##.#..##.##.#..#..####.......##.#..#.#.#.#..##.#.#..###..#...##.#.###.##.##..###.######.#.....###.......###.###.#.##..#....##...#.###.######.#.##...###.....###..#.####.##..#...##..##..###..##.###..#....#..#.#....#.......##.#..#.#.#.##.##.#.###....##.#.######....##..#...#.###.##...#######.#..##.#.#.#.###.###...#.#...##....#.#####..#...##.#....#...#####......#...##..##.##.#.####..###..###.#..####.##.#.#..#.....#..#.###...#.#.#.#..##..#.....###.#..#.#.##.##..#.###.#...####.#.#..#.#..#..#.#.#.##.#####.....###.#.#.#.#.###.#..##..#..#.#.##.#..#..##..####..##.#.#.#...####..#..###...##.#.#.###..#.....##.##.###.#.##..##.#..#......#.##..#..#.###.#.##.#.##..##..###.....#..###..####.#.###..#.#.#.#.###..##########...#.######.#..###...##...##..###.####...####.#.##....####.#.#.#.#.##.....#.##.....##.##....##.#.#....###.###.....###...#....#.#....##.#...##.##...##.##.#.#.....##...#...#..####..#.###..##.#...###.#.###.##
#....#.#.#....#..######.#..####..#..#..#.#####.#.###..##.##...#..##.#..##.........#...#.#.#.#.#.###.##.#..#....##...#.###....#.#.#.....#..##....##.##.####.##..#...#..#.##.....##...####.#..##.##..####....##########.#...#..#..##.###..##....#.#.#####..##..#...###...##....##.#.#.#.####..##..#.##..##.#.....###....###.##...##..#..##.#...##...####....#.###.####.###.#...###.#.#.##.....#.#.#.##.#.#....#..###.#...##..###...#...##...#..#.##.###...#.###...##.##..#.#.#.#...###.#......#.##...#...#...##.####.#....##..##..######.#.#.#..#####..##.....##......###...........###.##.#.##.##...#.##..#########..#.##......#.#...#.#.#.#.#.#.#.#....##.#.##.#..#.#######...##...#.#.#...##.#.##.#####.###...#.#.#....######..#.....##.#.#.#...###.#..#.#.####.##.#..###.#####...#...#.#.#........##...#..###.#.#..###.#.##....########...####..#.##...##......#..#....#.#..##.####..#....##.##..#.#..#.###.#.###.#..#.###..##.#.......#.#..##.###..####.#####..#.#######.##.....##..###...#.##.#####.####.......#.#..##..#######....#.#..##.####.#.....#...##.#..##....#.##.#..####.#..###....#.####.#.#..#..#...###.#..#..########...###.######.######...##...#...#..#....#.##.....###.#...#.##.###..#####..#...#.#...####.##.#.#.###..#.#.####...#.##.#..###...#.....#...#.#..#....#.##.########..#####.#...##..##..#####.....#####.#.##.#..#...#..#...##..#...#..##..#.###.##.####....###.###.##..#.#........#...#...###.##..#.#..#..###..####.#.##.###..#.#.######..#.######..##..#..#.##.#..#..##...#..##.#..#....###.#...###.####.....#..#..##...###....#..##..#.###....##.######....#..#####.....##....##.###...#.###..#.#...#..##.......#.######.#..###..#.....####..##.##..##...#.#.#.#...#..##..#####...##.#....###...##...#..##...#....#....####..#..##...#.#.##....#.#...#.#..##...###########...#.#.#..##.###.######.###..##........##...#.###.##..#..#.#.#.##.#.#.##..#....##.####.#.####.#.#.##...###.######.###..##..#..###..#.#..#....###...###....#.######..#.#..#..#...#.###....###.#####..###......#.#....##.##.#.##...###.##...#.#.#.###..####....#.####
..#.####.#.#.#.##.##.##.#...##...####.#.#..##..#.##..#....#..####.#..#.#....#..#..#..#..###.##.##.......##.#.##.#.#.##.......#..####......#...#.#####..##.#.#..#.#.###.#.##....#.#....#...#....#.....##.#..#..##.#.....###....#.###..#...####...##.#.#####.....#..#####.#..#....#.###....#.#...######.##.#####.....#..###..#.#######.##...#..######.#..##.##.#.##....#.###.#.#.#.##.##..##..#..###...##..#.....#..#.........####.###.###..##.#.#.#.##.#.#..##...#.###.###..#.#.##..#...##.#..##.######.##....###.###.##.##.....#.#.###..#.####..#...#.#........##...##..#..########...#.....##.#..####....#...#.#.#.#....########.#..##...#.###.#...#.#...##.....#..#..##....#.###...#..###...#..##...#..##.#....#.#######.#..##.#.#.#..#########.#####.#.###.##.#..#......#######...#.####.##.##########.#.###....#....##.#.##.#....##.###...#.#.###.#.###.#.##.##.#.####.######.####.#.###.##.#..##....##.......##.###.#....#..#..#..#.#.#..###.##.##...#.#..#...#...#.#.##....####.###..##..#...#.##..#.....###.#.##..##.#..###.##.....###....#.##..##...####.####.##..###.....##.#.###.####...##..##.....##.#.#..#.##.#####.#..#.#...#.#.##.#####..#..######.##..#...####.##.####..##..#....###.####..#..#..#...##....##.#.#.#...###..###.#.#.#.######....#.#.###.##...###..######.....#.....#.##.#.###.#....##...#...#..#...#..#..#..#..#..##.#####.##.#####.....##.##.#.#.#...##..#..#.#....#####.#.##....#..####...#######.##...##....##..##.#...###..##.##.##.#..###....#.#...#.#.#.#....#.#.#.##.##.##...##..##....#####..#.###..#......#.##...#.###.#..##....##.#..#.#.#######.........#.####.##.#..#..###....#.#.#..#..#.##.##..##.#.###.#...###.##..#.###....##.#...#...######...#.#.#.#....##.##.####.#..#.....#.#.####...#.#..#..#...#.#.##.....#.####.#.##.##...###.#####....####.###.#.#.###.#.#...###....####..###.#..##.##....####..#....###..#.######.#.##.#.##..##.##...#..#.###.#.##.##..#......#......#..##...##...#.#.#...#.#.##.#.#####...##.#.#...##..#...##.#..#..###.#....#......###.#.#########.#...####...##.#...####.#..##..###.#..#..###..#..##..
#####.....##.##.#.####.#.##....#..####..#.#.#.####.#...#...###...##...##...#.##...#.#.###..##.##.#...##.#...###...#...###..###.#...######.....##..#####.#..#####...#.####......##.#...##..##.#.##..##.....##.#.###.##..#...#....#..###..##..#...##...#....#..#######..##..#.#.##..#.#.#.#######.##.##.######.....##.#######..#.#####.....#..####.#..#..#.#..#...###.#..###..#...###.####...##.#..##.#.########....#.######.##.##..##.##.#...#..##.#..#.####.....#.#.#...#.##..#.####.##.##..##..#.#.#.#.....####..#...#..##.###.##..###.##.....###..#.##..##.#####....#.###........#.#####..##.##..#.##...##.#.#.###..#..######.##.###.########.##.#####.###.#.########.##.#..#...#.#....#..#.#.....#.#.####...#.....##..#..##....##..#####..##.#...###.#####...##...##..#.#########..##.#..###..........##.##....##.####..###.#####.##.#....###...##....####.....#....##.##....##.#.#.....##.#.#..#.##.#......#.#..###....#..#...#....#...##..#.####.##....##..#####.##....##.##.#....###.####..#.#..##...#.#..#.##.##..##...#.#..#.#.####....###.....#....#......##.####......#...##.##.##.###.#.####.####.##..#.##.#..###...###...#..####..##......#.#.###......######...#.#.#..#.......###.#....#..#.##.#.##.###..#...#.##.....####.##...#####.###.##..###.#..#..##..##..##..#...#.####..###....#.#....#.####.....###...##.#..#...#.#.....##.##.#.#..#.#...#...##..#.#.......##..#...#..#.##..####....##..###...####..#...#..##.#..##....##..#..#.#.#...###....#.#...##..###......#.....#..#.#..###.#.##..##.##.#.#.##.#.#.###.#.#.##..#.#..#...#...#.#.#.#....##....##...#.##.#..#...##...###...#.##.#.#.##.#.###.##...###...#...#.#..######.##..#.##..#.#.#...#.#..##.#..#.#.#..#.####.#..#...#.##....###..##.#####...###.##.#...####.....##.#.##.#..#.##.....#..##.##..#.####..######.####...##....##.....#..#.#.#...#.#.##.#..###.##...####.###.#...##..#.#.##.#..#..#...#....##....##.##..#...#...#####.#.###.#..#.#.###....##....#..#.#......##...####...#..#.##.##.#.#.#####..#.#....######..#......#..###.......####.....#.#.###..#.#..######.##.#..##.#..#.##....##
..####..#.##.###.#..##...#...#...#.##.....##.#....###.#.#....#######..###.....##.##.###.###.####...##.#...#..#.#...#..#.#.#....#..##.######.....###...###..#..##..#..####.#.##.##..###..#.#.#.#.##.#...##.#.##.....##.###.#.#..#.###.####..##.#.##.#.##...#.##...#.#.....#.##.#.#.###.###.#.#.##.#.#....####..#...#...##...#.#####...####..##.#....##..#.#.##...#.#..#.#.#..###..#.###..##.....#####..#...##...#...#####...#.#.##..#.#.##.#....##..##..........#...#..#.#####..####.##.#.##.#.#..#....#.###.####.##.#..##...##..##..#....##.#.#......#...#...###....####..#..#.###.#..#.#.###.#....##.#.###.##.#.....##.##..#...#..#.#.#######.##.#.###..###.#.#..#.##....#..#..##....##.....##.###.#.....##..#.##.....##....#.#..#...#..#...#..######.#####.#...#....######.##.#.##..#.#.##....#.#.###..#####.###..#.##..##...######.##.#.##....###.##.#####..#..#....#......#.#.#...#.#..####.#####.#.#.##.##..##.###...##.#..#...#.##.....###.#.......#........##...#..#...####..###.##.#....##.#.####.#####.#...##.#.####..##.##.#.#..#..#..#..###...##.#...#.###.######.######..##.#.#.##....##..#...##.##..#.####.#.##..#..####..###.##..##.#..#.#.#.###.#.#..##..#####.#.##..#..#..#.#.##..#...###.#..##.##..#...##.#.#.#..##....##.##.#..#..##.##.#..##.###..#....#..#########.#.#.#####...#.#.##.##..#..#.#..#.##...###.##.#.##..###....##...##.#####.#.#..##.....#..####...#...#.###...#..#.#....#...#.#..###.##....##.#..#.#.....#.#.#..##.#..#####.##.#..##..####.##.#..###..#...##.#..###.#....##.######.####.##.#...##.###.#.##.##.#.#..#.##......####...##...#.##.#...###..##.#.##..#.....#..#..#.#.#.....###..#...#....##....##.#..##.#.###....#.....###..##.#..#.####.###...#.#..##.#...#..#..#..##..#..#...##.##..###......###.....#.##.##.#...###.....####.##..#.##.#.####..#.#..####.##.#..#.#.##.####.##..#..###.#.##..#######....#.#.#.#.#.#.#.#..#.....####..##...##...###...#..#............####.###....#######.##.##....##....#...#.####.#.#.....#####..#.#..#.......#..#...#..##.##.......#.####.#..#.###..####..##...####...#.#.....#.###....#.#.#.##
#...#..##..#.#######.#...###..#..#...###.##.....###...#######..#.....#.#.###.#######.##..#..###.#.####.#.#.##....#.#.#....#.#.#.#####.......#########.###.#..#####.#...###..#....###.#.#.####.#.##.#.#.##.##.....####..#..###...##.#.....#.###..###.#.#..########...#.#..###...#.........####.######.##.......#....#..#.....####.#.##.#.##...#..#.#####....#..###.##.##..####...##......#.##..####.##....##.#####.##...#.####.#####.#.######.#...##.###..###..#...##.#.###.#.#....#....##..##.##.###.#..##.###.#.#...#...#.##......#.###.#.#.#.....#.##.####.####.#..#....#..##.###..#...#.####..##.#...#...##....##.#..##.###.####...#####..#.###..##.##.##.##.######.#.##.#.###.#######..#.#...#.########..##..#..###..#.#.....#..#.#.###..#..#..#...##.#...###...##.#...#.###..##.###..#...#....#######..###.##.#.....#..#..###..##.#####.#.#..##.#.##.###.#.###.#.##.#.##.#..#####..#...#...##.#..#...###....#........##.##.#.##......#.#..#.###..###.#.....##....#.#.#....#..#..#..####.#.#..###.##....#.##..#.##.#.#.##.#.#.#....###.#...#..##.#.##.#....#..##..######..#.#..#.#...#.#..#...#...###......#.......#...###.###....#.#.########..#.###..###.##..#..##.####.##.#.##.#..###.####......####.########.#.#..#.##.##..##.#..##.##.#...#....##.#...#..#..##.##.#....###..#...####.###..##.##..###...#..#.##...########.....#####..#....#.#.....#.###...#####.######.#..###..#######.#.#.#..###.#####..#.#..####.##.#..#..##.####..###.##.#.####.....#.###....#.##.########.##....##.##.##..##.#....#.#.##....##..####......##....####.###.##.##.....###.#.#..##...#.##...###.#...#..#....#.#.#........#.###.##..#.#..####.##.#..#.#.#....#.....##..#.##.###.#..##...###.##..#.....##.###..####.#.####....#..#.####..##..#.#.#.##..#...#.##...#..#....#.##.###.#.#.......####.###.#.#....#..##.##..##.#.##.##....#...#.#.#.###.###..####.#...##.#####.#.#.#..#.#....#...###.#..###.....####.#.#.#.#.###......#.####..###...#..#####.#.#..#....#.##.....##.##.#..#..##.##.#.####..#..#..#.##...#..##.#..#####.#..##..#.###.###......#...##.....#...#...#.....#..##...#
##.##.#..........##..#...##.#.##.#..##........#.....#.#..#.##..#.....#.#..########..#.###.##.#.##..#####.##..##.#.#..#.#..#.###.##.#..##...#..#...##.#.####.########..##..##..##..#.#.#..#..#.#.....##.#...##..#.##...#...##.##########.##.####..######.#..#.###...#######..####..#.#.########.#.###.###..#.#....##....#..#..##....###..##.#.#...#.#.####.###.######.....##..###..#.....##...#..####.#.####..###...#.##.##...##.##..##....#.#.###..#..#...#...##.....#..##..#.....###.##.###..#..#......###.......###..####.##.#######.#..#.###....#.###.##.#..###.###.#.....#..#.###....#.##.##..##.#..#..##....#.##..#.#.##..#.#...#######.####....####.##.#....#..##....#.#.###.#..#...###.##.#######.#..#.#...##...#.#.....#...####...#####..####...#..####..#.#.##..######.#.######..#....#.##.#..###.#.##...###..#..#####.#...#######.#.#...##.##.###.###.###....#...####....###.######.##.#....##.#.##..##.#####.#.#.#.###.###.##.#.#......#.#..#...#.....##.##.#..####.#.##.#.##...#........########..#.#.#..#..#.####.#....#####.##.#..###.#.....###.#.#######.#...##.#.##.#....#.##...#####.#.#...#...####..###..#.#.##.#.#..###....#####...#####..##.##..#..#.#...#..###..#.##.#..#.##.#.###.##.####.#....##...##..#..##.##...#..###.#......#..#.####...###..#.##..##...##.#..........#.#####.###......######....#.#....#..#..#.....#...##.##.###...##.#...#.#.....#.#.##.#######.#.#.#....##..##....##..##.#####.....##...##.....###...#.####..######..#........#..##.####..#.#.#.#....###..######....#.####...#..#.#..##.#.#.#..##..#######.#.###..####.#.#..#...#.....#.####.####.###.#....#..#.......###.##...#.#.#.###.##.##..#..#.#..##....#.#.##..##.##..#.##.....#..#.###..##...#.#.###......##.#.##.##########....#...######.....##...#..##....##.#.####.#.##..##.##..#..#.#.##.###.##.#.#.####..##.#..##..#..#...#....#.##.#...#######.....#..#.###.##.####.#.#...########.#..##.##.#...#.##..#.######..#...#..#.#....##.#.######...#.###.##..##.#....#.##.###.##..#########..##.##.#..#.#....#.#.#..##.#.#..##......###.##...#.#####.#.#.#.##.#.######.#.#
....#....##.#####.###.##..#.#...###..#..##..#.....###.#..#...###..####.###.#..#..##..#####.......#####.#..#.#..####.##..#####.####...#.##..#..#...#.#.##.#..###.###..###.###.##..#.##.##...##...###.....#######...##.######....#.#......#...#.#..#.#.#.#####.####..##.##.####..#.....#.....##.....#...#..#...##.##.#.#.#.########.#....###......#....####.##.#...#.#.#.#.#.#.###..#.###.##.##.###..##.#..##.#.########.#...####...###..#...##.##.#.##...###...#####.####.#.#.#.######..##..##.###.#.###.#.##..#..##.#.#..##.#.##.#.####.####...#..###.#.##...#..#.#.#.##.####.##.##..#.#####..#..........#.#....##..##..#.#..##.#...####.##.#..##..######.##.#..##...##....#.#..###...#.##.#.#..##.#..#.##...##.####.##...#.##.####.#...###....#....##..#.#...##...#####.#..#.#.##.##.####.##.#.###.#.....####..#.###...#.#.##.#.##....#....#.#.#.....####.###..##..#..#.###.##....##..#.####.#.#..#..###.#.#.##.##.##.###.#.#.###.###.#.#.####..####.###.####..#.#...#......#.##..######.....#.......#.#.#.###.#.#.####..#.###..#.#####.##.#..#...#.####.#.#.#..##..##..#....#.###..#..###.#.#.##......###.#........##..#..##..#.#..#.###.#......##...##.#...##.#.#.#.....####..#..#..####.#...##.#.#...##.###.#...###.#..#...#####......#....###.##..###...#.#####.##.#...#.#...##.###...##.##....#.###.##..####.#.#..##..#.....#.##.####...#.#.##.#..###..#.########.###..##..##..#.######..##...#..##.#..##.##.#..##.##..#.....##.#####.##.##..#.##.####.##.###...#.##.#.##.###...#.#.#######..#....#...#..##.######..####..#.#..###..##..#...##..####.#.#..#..#.#.########.#.##..#..#....###..###.##.#.....#..#..#.###.#.##...##.....#....##.###..#.#.###..###....###.#.##..#####.#........####...#.##...#######..#.#.#.##########....#..#.#......#..####..#.#..#.#..#...#.###.##.##.##..#.###.#...#..##..###.#.#.####.#.###.....#....###..######...#..##.#.##....#.#.##.#####.#..#.#.#...##.#.######.....##....###.....#.#.###..##....##.######.#..#.#......######..##.##.....##..#.#.#.##.#.#...#......#.##..#..#..######..#.####.###.##.#.##....#.#.#..##.#..#..###....#
.#..##..#.#.###.###.#...##...#.#####..#.#...####..##.####.#.#.##....##..###......#####.###.#.####.###..#...###.#.##..###..##.#.#.###.....#..#...##.##.#..######.##.#...###.##..##...#..#######.#...######..###...###.#.###..#.######.#.#..#.#..#.#.###..###...#.#..##....#.......#.####.#....#.####.###...#...#..##.##..#.###.#.##..####.....#.##..#.######..##.#.#.#.#####..##.####..###..####...#...####.####.##...###..####.#########..#.#.#.#..###.##..####.....#.##....#..##..#....###.#.##......##.#..#..###.##.#..#....#.#.#.##.#...#..####....###.###.#...###....#..#.##.....#.##.#.#.#..#....##.###...###.#..##.......##..##..###..#.########.#..#..#.#...#.#..#..####.....###.#..#.######.###......#####..#.##.#..###....#..##...#...###..#.......#.#.....###.##.....#..#..#.#..#...#..#..#....##.####.#..##..###..##.#####....##...#.#..##.##.......##.......##.#.###.#.#.##.#......#.######..#..##.##..##...##..#....##..#..##.###...#..####.##..####.######.####...#..#.#####.#.##.####...#####..#.#....#..##..###..#####...##..##.#.#.#.#.##..#...#.##...#.......##..#.##...#......##.##.##...##.#..###.#...##.#.###...###....#..####.###...####...##.#.####...####....##.#...#.##.#.##..###...#..#..##.####..############.#######.#...#...#....###.##.###.##.###.#####.#.#....###..###..##..###.#.#..#...#.#.#..###.########....#.###......#.######..##..#.......#..##....#.#.#....#.##.....#..###.#....#.##.#.###......#.###.#..##..#.###..#.#...#.#...##.##.##.##.#.#.#.#.#..###.#.###.#.##.###...#..#...#.#.##......#.....#...#...#.###.####.#.....#.##..#.#.####.#....##...#..#.#..#.....#...#..#.######..####.##..##.##..#..#..##..#....##....#.##.###.###.#...####.#...#....##....####..##..##..#....#.###...###.##.##..###.##.#....##.#.#.##...###.#####.......##....#.#...##.###.##......##.###.##......#.#....##....###..##.######.##.###.#..#.......##.#....##...#...###..#.#.#...###.#######.##.##.#...#..######......##.##.#..###.#....#.#.#....###.......##.#.#...##.####.#..##..###........#..#.#.##.##.#.....#.#..###......###.#.#####.##..#.....#
#..#.###...###..##.#...#.#...###.####.#.#.#.##.##.##...###..###...##....####.#.......#######.##...#.####.....##..#.#.####.......####.#..#....####.#....##....#..##.######.###...#.....##..####....###..#..##.#.....##....##.##.#.......##..##..#....##...#..###.#.#.###..#.##.###.######.###.#..#...#.####.##..##..####.##.#.#.##.##...#..#...##.##..###.#..##........##..#.#.####..#..#.#..#.#...#.........###.##.###.#.#..##.....#.#....#..###.#.##.##.#####.#.#..##..##.##.....#..###.#.###.#.#......###.###...#.###...#..#.##..#...#.#.#.##..####......##..#.##....#.###..........##.##.##.#.#.###..#...#.##.#.#.#.#####.###.###...##...#..###.#.###..#.###.#....#.#...#.###...#.###..#.##..####..#.#....###..##..#.####...#.#.##......#.....###.#...#...##.#....#...##..######.##.###..##.#.#.#.#..#.#..#######.#..#....#...###.#.....###.##..##...#..##....#.##.##.#.###.##.#####...#.###.#..###....#.#..##..#.....####..#..#..###.##..##....#..#..#.#.##.#.##.......#....#..###.#..#..#...##..#.#.##.#.###.#.#.##.#.##...#.#....#.##.###.##...#.#....#..#####.#..#...#.##.#.#..#..#######..##..#..##..#..####.##..#...#...##########...#....###.#.######.#.###.#.#...#.######....##.##.##...#..........#...##....#.##...##..##....#.#.##...##..##...#.#######...##.#.#...#....#.....#.##.####.#..#.#####..#..###.#.####.#..#..###.#..#..##.#..#.#.#.#.####.##..##....#####.#.....#.###..#..###.#.......###.##..###.#######....##.##........#...#####.####.#..#.#.#.##.###.....##.#.#..#.#...##...##..####.##..#....#.#.#...##...###.##.##.####.##.#.##...##..##..####.#.#####.####...#..###......####..#.#....#.#.##.#####..######..###.#....###..#.##......##.....#....#..##.#..#...#.##.##.##..#....###..#..#..###..#..#....#..#.#.###.#....##.#.#.#...#.##...#.######.#.##..##.#.#.#.####..#.##.....#..####.####...#...##.###...########.#..###.########...###..####....#..###...###.#..##..#.#...##....#######....###....##..#.##..#.#####.###..###.#.#.####.#....#..#..#...#.#.#.####.#.#.###.#.##.##.##..#...######..##.###.#####.##.####.#....##..#.#.##.##.#.#.##
.#....#.##..####..#...###..#...##..#.##....#...#.#.##...##.##.####.##.###...##.#..##.####..###...##..#.######...#..#.#####...#.#####.######.###..########..###...###.###.#.####......##.######.#..##..#.#..##....##.####.###..#..##.#####.#..#..##....#...#...#.#...#.#....#....#####.....#..##....####.###...#...##....#...#.#.######..#####.###.#.##...#.#..#..##..##.#.#..##..#.##.#.##.##..#.##....###.#.#####.####..##.#....##....#.....#....#..##.##.#...#.#####..###..#.##..##..##.#.###..#.#.#.#####.###.##..##.##.##..#....##.#....#..#.#..#.####...##...#.##..##.#....#...##...#.#..##.#..##.####...####.###...###.###..####.##.#..##..#.##.....#.#..##.##..#######....#.##.#...##.#...#..###...##.##....#.###.#..###.#.#....##.##.#.#..#.##..###..#####.##.#.#####.##...#..#..#...#.#.#..#......#.#.##.##...#....###.#..####.##...###.##...##....#.##..###.#.#####..#.#.#..####.###....#....#####..#..#####...#.......######..#...#.#.....###.####.###.#######...#....#.##..#....####..#.....###..#.##..#..#.##......###.#...#...#.#.#....#...#....####.#.###.....##...#.#..###.#...#.####.###...##...##....#...###.....##.##..####.###.###..#.#..####...##.####.#......#...##..###.#..#..#.#....##..##.#.#...#.#.#...#.#..#..#.##.....###.###.##.##.###.###..#..#..#.###.#.######..#.#.#....#####.##.#...#.###.#..##....####.###.######..#..##.#...#.###...##.#..###.....#.#####.###...###..#..#.....##..##...##.##.#.#.#...##..#.##....#########....#.#...###....#...##.#..#.#.###.###.#.#..###.#.###.#.#...##..#.##.....##...#.###.#..###....#..#....##..####...#.##.##.##..#...#...#....##....##.##...#...##..#....#...###..###.##.#......#..#..####..###...#.#..#.#..##..#.##.#.#.####.##.#...##....##.##....####.#.#.....####..##.##..#..##.#.#.#.#..###..#..#.##.##...#.###..#....##...#..#####.###..#.##.#.#.##...#####...#.#....##.#####..###....#.##..#.#..#.....#.#..#.###.#.....#...#....#.#..###.....#.#..#.##.#..##.....#####...#.#.#.##..#....####..#.#..#.....#####.####.###....#..####....#....######...#...#..#..###.#.#...##...##...######..###..#
#..#...#.#...#####.###.###..#...###.#.#.##..#....#####.####.#.#.#...##.#.#.####...##..#.##..###.########.#.....##..##...#..#.#..#.....##.####...##..#.######..#..#.#..#..####..###.##.....#.##.#.#.##.#.###.##.##....##...#..#..#.###.....##..##.##.#####.#.....#.##...#####.##..#.##.#..###..#.######.#.....####.######.##..##.#.##..#.##..#....#.........#..#.###.#..##..###....#.##.......#########.#..##.#.#.#......##..#..#.####.###...#....#.##.#.##..##....#.####..####.........#..#.#..#.##..#..#....##..##.###..#####.#..#..##.#..###.#..#.#.##.####.##..##.##.##.#.##..#......###.#..##.###.###.#....#.###.##....#..#...#.###..###.##.....#....##.###.#######.##.###...##.########...##.#.###.#.##.###.####..##..####..#.###..#..###.##..###.#.##.##.###..###.###.###.#.####.###.#..#.#....####.#.#...############....#......##.###..#.###.#.#..##########.#.#.#..##.##.##.........#####.#.##.....#.#..###.###..#####....#......#.##..#.#.##...#.##..#...##.#..#.###..#..#.#####.###.#...###....##.#.#..#.#.#.#...##..###...#.#.##......####.#.###..#.###.##...#..##.#.#.####..###.##..#.....####..###....#....#.#...###.##...#....###..###...##.#.#.#.##..#.#..##....##.#.#.#.##.#.#..#.....##.###.#...#..#.#.###..##..#....#.#.......##.#..##.####.###.#.####.##..#.###.##.##.#.#.#..#.##.#.###...#..#.#.###...##.##.#.###.#.####.#...###.##.####..#......##.#####..##.##...#....###.#..##...#.##......##.######.#..#.##.......##.###.#...#.#.#######...##.#....###.....#####.######.#.....######.##...####.#.#....#.#.#.#..#.##....#..##.##.##..####....#####...#.#####.#...#.....#..#..###...#.#...##.####..#.#..####....#.#...#.#.#..###..#.....#.###...###...##..#..####.##......######.#..#.##...#..###..###.#.#.###...#.#.#...#..#..##.#....###....#.#.#..##.###.#######..#....#.##.#.##.###.#..##.#..#..##.##...#######.#.#...#....#.#.....#.##..#.###..###..#..#.....#.#.....#...#####.#.####.##.####...##...#...#.##...#...#..###.#......##.#...#..#..#.#..######.##.##.###.###.######..####..###...#####..###.....#####.#..#..#.##.#.##.##.##.##..##.#..##
#.#.#..#####...#...#.##.##.#.##.#.....#...#...####..#.#..##...#..#######.#...###..##..#.##.....#..#..###..#.#.####.#.#..##...####.#...#..##.####.#.#.##.#####...#.#..###..#.#......#..###...#......#.#..####..###....#.#####.#.##.###...#.#......##..###.####.###.....#.######.#####...#.###.##.......#.#...#.#..##..#..#.####.##.###..#.#.#.#.##.#.#####..#...#...##.......####.###.##.####.###...#####....##..###..##.##.###..#.##...#..##..####.###.#.#.#..###.##...##....#..#..#..#.###.#...#...#.#..#.#.....###.###........##.#....#.....###...#.##..#...##..#..#.#.#######..#...####.#.#.#######.##.#.#.##.......#..###.....##...#..##...#.#...##..#####.##...####.###..#.#.#..###.#...#.###.#.###.#..#.#.###..##...#.##.##.#.#..####.#..####..###.#.##...#..##.###.##..#.##..#.....#.###..#..#.....#..##..#.##.#.###.#.##.####....#.###.##.....#.##..##.##....#.######..#.......####.##..#...##.###...###.##.##.#..##...#.####..##.##..#.#.##..##..#.#...#...#.#.#####.....##.##...#.#.#..#.#.#..#.#.##.....##.#..#..####..#.#######.###..#...#...#.#.##.###.#.##.#.##......##..##.#..#....#..#...#.#.#.#.....####.#......##.#.##..##.##...#.....#..#..##....#.#######..#.....###......##.#..##.##..##..##.##...###...###......#.##..#........########....#.###.#.#..##.......###.#..#.#.#.#.##..##...##.##.#.#..#.#...##......##..##....##...##..#.#.##.#.#....#....#...#...#...#...#.#.#...##.#..###..###.#..#.#.#..######.#...###....###....#.##.#..###.##.#.#..#.##..##.##.#######..#.##...###...#...####.####.........#.#..#..###......##.##..##.#.##.#.##...#####..##...##...##..#...###...#...#.#.#.#.###..##.#.####..#..#...#.##..###...#..#.#.#..#.##.#..###..#..#.##.###.#..#..#.#.#.#.#.....###.#...#.#.#.####.####.##......##.##.#..#.###..#.#.#####..#......#..##..####..#....#...##...#.....#.###..##.###.###.#.###...##...#.#.#..######.###.#..#.#..##.#####...#.##.###.###.#####..###..#..#...####..#...##.#..###...#.#..###.#.##.###.####...##.##.###...###.####....###..#....##.##...#.##..###.##....#..#..##.#.#..#.#..##.#.#.....#####...#..##...##.#
.###.#.###...#..#.##.#..###.##.#.....#####.....####..#.##...##.#..#..#..#.#..##...##..###..###.#.##.#.##.#####.#.#.##.##..##..##..#...###....####.##.#..#.####.#.##..#.###.#..###.##..#..#...##..#..#.....#......###.#.##...#.#.#..##.##...#...####.#..#.#....###.#....#.###....###..##...#....#..#.##.#...#....###.#.###.#.#..##..#.##...#.##.#.###..#.......#..#...#.#....###..##.##..##.......#..#.##...#..###.#.##.##..#.##....#..##..#####.#..##.####..#.....#..#.##..#..........#..#######..#.#.#.#.#..##.###.#...#.#.#...####...#....#####.#####..#.##..##..###..#..#..##..#......#####..#.##.##..###...#######.###.###...###.#...#.#.#.#########...#...#...##..#.####..#..#.#.#.######.#.#.##.#...##...#.##..####...#..#.##..#.#..#.#.....#.#..#.####...#.####.###...#####...#.#..##.....##..##.#....#.#..#####.#..#.########...##.#.#.##.#.#...##...#######...#...####..#.##..###.##.##.#.#..#.##.#.###.##.###..#.#...#####.#..###...#.#####.###..#...#..##.#.####.#.##.#....####.##.#########.##...#...#.###..###....##....##.##.#.#...###.#..#..###..#.##.#.#..#####..#.#.#...##.###.#.#..#####.#...#.###.#....#..##...#..#..#.####.######.####.##.#.####..##.##.....#..##..###.#.#..######.###.###...##..##..#..#.####..#..##....#.#..####.###.#..#.##.##.#.#.#.##.#..##.##.##..##..#.###.####.#.####.#.##.######.##.####.#......###.#.####.###.#.#.##.####.#..##.##.#.....#...#######...#...##..#.##.#.#..##...#......#..#..#.#####.#.....###.......#.###..##.##..##..#..##..#.####.##.##....#####..#.#...##.#.....#....#.###.#.#.....#..#.#..###..#...##..##.#..#.#....###########.#.#####.##.##.#####.#..#.#.#........#...##.##.#..#.##...###.#.......#.#####.###.#.#.#...##.#.######..##.##..##...#.#..#########..##.#..#..##...#.#...##.##.....#....#.#.#.#.####..############..#..#.#....#.#######.##.###.####...#...##..#....#.##...##.##.#..##..#.#.#.###.#....##.###..####.###..###.##..##.##.#####..##..#..###.#.#.###...#.###.#######....#..#.#..##.#..########..##..#.#.##...#..#.#...##..######.....##.##..#.##..#....##...#..#.##.#.#..#.#..###..####.
.#.######.##.#.##..#.#.#.#...##..#.####.##.###....#.#.#######.#....##..##...#....##..#.#...#..#....#....##......#...#.##.#.#.#..#####.....##..##....#####..#.#..#.###.###..##.#...#.##..##..#...#.....###.###.####..##....##.#.#....##..##..#..#....#...#.#.#..#.###..##..#...##.##.#.##.....#...#####..#.###.#.##..#..###.###.##..##..#.##...#...##.#......####.#....######.#...#..##...##....##...#.......#..#..####.######..##.#..##.####....#####.###.##...#.###.#.###.....#.#####.#..######.#.#..#.####..#####..#..#...###.#.##..##.####...#..##.###.#...####.#.##......#...#..##..#####.#.#...###..#.###.#.#.#.#.##.#..##......#...#.###.#.#...#..#....##..###....##..##.#..#.#.....#.#.####.#.##.#.#.#.#.##...#..##...##.#....#..#..##.##.###..##.#..#.#..####...#.##.###.###...#####.#..##.##..#.##.##..#......###..#..##.##.#..#..###.###...#########.#.###....#....#.##.#....###.#.#.##.#.##..#.#..###....###..#.....###...#...#...#..###.###.###.##.#..#.##....#.###.##.#.#..#..##.#...###..#..##.###...##...#..#..#...#.#..#####.#..###..##.##..##..#.#...#...#.###.##..#....####..#..###.##..##.#.#...##....##..#.....###..#.###....#.##....#..##.#..#..##..###.######..#.###.####.#.#.#.#...#..##...##.#.#..#.###..####....#...###.####.#.#...#####....#.###.##...#.##.#.#....#.###.###....#.#####...#.###.....#..#.####.#.#..#.#..#.##...#..##.#.#.##....#####..##..#..##......#....##...####...####..#..###.#...##..#.#.#...#####.....#..#########...##...#......###.#.#.......#...#.#.#...#..#.#........##...#...#..#.###.#.#......##.#.##.....#.#.#.####.###.#.###....#.#.#.##..##.##.#.#.##.#..#.###..#....###..####.#...#######..##.#.##..#.#.##....###..##.#..#.##.##.#.##.#......##......#####..###.##..##.##..##....###..##.####.##.##....#.#....######.#####....#.##.##..#.#......##..####.###..#........##..##..#####.####.##..#.##.###.###....####..#..#####.#..#..#####..#...#..#.###.#.###..#.##.#.#.#.#.#..##...#.#..#.#.#.##........######.#.....#.#####...####.#.###.####..#.####.###.#.....#.#.#..##.......#.####.###.#....##.#####..#....##...#
...###....#....#..#..#.#.##...#..##.#.###.#....#..#.###...#..##.##...#.#..####...###..###.#....#.##.##.##..#..#..###..#..###..##.##.###.#.#....##......##..###.##..####..#..##..#....##.......#.#####....#.#..#..##..##..#.####..##.######.##.##.####..####.#.#.###....#.#.###.###...#..#..#..#.#.#..#.####.###.#..###.####.#..#....#..###..#####..#.##.##...#.#..#.##...###.#.#####..#.###..##.#..#...#..#...####.....#.###.#.#.#......#.#...#..#.#.#...#.###...#.#....##.####..#.#.#.#..###.#.........#.#.###.##.#.#...#.#..##########..##.##...#...##...######..#..#..#..###....#..##.##....####..##.#...###...#.#.#.####.##.#######.....##..######..##....##.#....##.##...#..#.#.###.####..#####..#....#...#...##..#.#....#..####.#....###...#..#####..#..###.#####.#....####..#...##.##.#..#.#...#.#..##.#.####.##....#####.##..##.####.#..#.#......##.....#....####...##.#...##..##..#.##.#...##..##..#.#.#..#.##.###.#..###.##.###...#.####.#..#...###....##....#......####....#....##....#.#..####.#..#..#####..#..##..#....#.#..#####..##.###..#..##.#....###.##......#...##.####.#....#.#.#..#..#..#.####.##.###....#####.###...##.#..##..##.#####...#.#.....#.#..#..####.#####.#...#..#.######....##.#####..#.###...#####.#.#.#....#.#.##..#.#.##..#.#.....###...###......###...###.......#..#.#...#..####.....##..###.##..##..#.#.##.##.##..#.#..#.....#..#.#.##....##..##.#....#.#.#.....##.....#...####.#..####.###..#..##..##.#######.......#.##......##.###.#.#.##...###.###....#...#.##..###..#..#..######...#.#...#....#..##..###.#.#.#..####.##.....###.#..#......#..#...####...#..#..##.#..#####.###...#.##.....##.#..##.#..#..#####.#....#######.#.##.#..##.##...##..#..####.#.#..........#.###....##..##.##.##....#...#.##...###.#...#####.#..##.....##..##...##.##.#...##...##.###....#.#.#..###.#..#...#..#.#...#.##..##....#########..####..##.##.....#..##..#####.##.###..##.#.#.#.##.##......#.#....##.#.##.###....##.##..#.###...##.#..##....###.##.#...######....##.##...#.#..#...#.#.#....#..#.#..##.###......###..##.####..####.#.##.#.##..##..##
..#.#.#.#...#......##...##..#...##..###..##.##.#.###.#..####.##.#....#.#.#.###.#.##.####......##.#...#####...#.#........##..#..###.....#...#####...###.###.#####.#.##.#..#..###..#..##.##.##.###.##.##...##..###.....#####..#.##......#.#....#.#.#....####..####.#..#..#.#...####..#.###.##...#.##.#...#####..#....##...#.#.#.##.##.#.#.##.####..#######...#.####.......#.##.####.#..##..##..#.####..#..##.######.##..#..####.##..###..##..##....##..#...#...###.#####....#.##.#..###.#.#.#.##.....#....##..##.....#.....#.###.#.#.#.#....#.#####.#...####......#....####...###.....#....##...###.#.#...####...#....#.#...#...###..##.#.##..#.##..#.###.#.##.##.#####.....#.#.##....##..#.####....##.#.....#####...##...#..####.#..#......##.####.#..#.##.#....#..#######.#.######..##.###...#.###...#...#....#####.##........####.#####...#.##...#####.#####.#..##.####.##.##..#.#.#......#........#.#.###.##.###.###.#....##....#..#...##...#.#.##...###..#...#...##.#...#..###......##.######.####.####.#..#.#..##.....#.#.###.#.#.#.....####..##.#...#.#....##.#....#.#.#..##...#.#......####.#.##..#..##.##..##...#.#.#.#..#...##.....#........#.###...####...#..#..##....#############.##..##.##.##..#..##..#..######......#.#.##...##.#.....#.#.###........#.....#..#.##...##.#..##..#.##.#..#.....##.#...##.#..#.#..##.....##...#.#......#....#.#.....#.#..###..###########.##.##.#.####.#.#.#.####.#...##.#.#.###.#.#####.#.....##.#....####.....#..#.#...#.##...#...##..###.#.###.#.#####..#.#####.#######.#.###.####.#...###.#.#.#####........#..###.####...##...###.##...####...#..##..##..##...#.#.#....#..####...###..#....##..#...#.#...#.#.#####.#######.#.###...#####.#..####.###..#....##.#..###.##...#.#...#..#.##...#........#..#.#..#.#....##..#####.###########.####...#..###.###.###..#.#####.#...#.##..##..#....###...#####.#####.#.#.###.##.####.##.##....#.#...#.....#.###.###...#.#..#.##...########.#.###...#.###.#.###.#.####..#.###.#..#####.##...##.#.##.#####.#.##...#....#.#.###..#..#########.#######.#...##...#..#.#......#..###...#.#.#....#
####.####.....##.#..#..####..#..#####....#.##....#...###...#.......####.###.#.##....#..#..#.###...#.#.#.####..##..###..#.#.#.#.#..#.#..#######..#....#.#...#..##.##.##.####.#.##..###....##...#..#.##.##...#.#.#...####....#..#.#.###....###.#...##.####.##..######.....###..#.#..###..##....###...#.###..##....#.#..#.##########...###..##.....#..#.#####.....###.#..#####..#...#.####.##.#####.#.#.#..#...########.##.###.#####...#.####.#.#####.###..###..##.#.##.##.##..###.#.#.....#.#.#..#..###....##.#.####...####.#####...###...#######..#..#.#.##.##.##.#.###...#..#.#####..####.##....##..###.#...#.####.##....#..#........#..#..##.####..#....#..#.#..#.#..#....#######..##.##.#...#.......#.####.##.##..###....##.#.#....##.##.#..###..##..###..#.##..#..#...###.###..#######.##..##..###.######...#######...##..####.##...#......##.#..#.##..#.##.##..#.#.###...#####..###..#.#..#.##.#...#..#####...##.#..###..#.#.####..#.##..#.#.##.#.##..#......#..##.####.###...#....##.#..#.....#......######.##.#.###.#....#...##.##..#######.##.##...#....######...####.##.##..##.#...####.##.#.##.#.#.#.#..#.#.#.#.#######...#.####..#.###..##.####....##........##......#.#.....#..##..#..#####.#...#..##.####.##.#...#.##..##..#.#.##.#....#..###..#.#.#..##.#.#.##.#.#.....##.##.#.##.#########....##......#..##.#...##....##.......##...####...###...#.#.##..####.#..#.##.##..#..##.#...###.####.#..##.#...#...#..#.##....#.##...#.#.###..######..#.#..#...##..#.##.#.##...##.#.....#.##..###.###.###.....##...#..##.##.....#..##.##.##.#.######.#..#..###.##.....#.##.##.......###.....####....#.##..#..##..#.#.#..##.##......####.##....#.####...####...#.##.##.#......###...#......####.###...........#...##.#.##.#.#...##..###.#....####..###..##.#.###..#.##.#....#.##...#.#.#.#####.#..#.#.#..######...#...#.##..###.######.#....##.#.##.###.##.#.#.#.##...#.#####.#..##.##.#.##.####.##....#..#####.....#.##..##..#.#.##....#.....##..#..####.#.#.###.######.###.....####.###...#.#..#....###...#..#.##.##..##.######.##.##.###.##.##.#....###.#..#####..##..##
.##..#..#........#.##.####..#.#.#..#.#.#..###.##.#########.##..##.#.###.#...##...##..#...#.#.####.#..##......######.#.....####..#.####.#####.##...##..#.....##..#....#.####.#.#.......##..#####....#.####.###.###.########.#.##.##...#..#.######..#####..##.#..#.####.#.##.#.......#..#...#...#.##.###..#.#...#.#.#.#####.#.....##.#.......###...#.####.#######..#..#...##.###......#.#.######.#..#.#.#.#.##.#..##.###...#..##.#.#.....#######....#.###..##.........#...##..#...#.##....#...#.#..##..#.###.#.#.###.##.###...#...#.#...##..##..#.##....#...#..#...##.#..###...##...#.##....##.#.......#..#####.#.#..###.#.......#....###.#...#.##.#####.#...#####.#####.#.#..#.#.#.......#.###.#.###.##..###..##...#.#.###.#####.###..####...#.##.#.####....#.#...##.#.#.#..##.###..#.#..#..#..####.#.######.##.#..#.##..#.##....#.#.###.#......####.#.#.##...#...##.#....###.#.#.###.##.#..#.#.........#...#..###....###..#...#.#.#.#....#....##....##.#########.##.#..........###.#...#.#####.#.##..###.####..##.#.#..#####.#.###...#.#..##..####.#..##..##.##.###.###.#.#..##.#.##..##.#....#.#.#.....###..#..##.#..#..#.##..#.#...#.##.##..####..#.##....##..#####..###....#..#############...###.###.....####..##.##.#####.##..#.##..##..##...#.#.##..#####...###.#....##..###.#..#.#.##.###..####..#.#..##....##.###.....###.#.#.#.###...#.#..####.####..#.##...###...##..#.######...#.#..#.#.##.....###.#.#........#..#.#.#...##..###..##..#...#..######..#.#.#.#..#..####...#.#.##..#....#.#...###..#########.###.#....##.##...#..###.####.##..#.##..###.....###.##.###....##.##.#...###..##..#.##...#....####..########...#.#..##.#..#.##.####.#.#.##.#..##..#.#..#..##..#..#..#.##.##...#####.##..#..#......#.##.#.#.##..##.......#.##.....#.#...#..#.#.#...#..#.#.#...#.##.##..#.#....#.#.#.#.#...##...##..##.#...#...#...#...#.#.###.#......#..#.#..#.#..#...##.####..#...##.#.##.###....##...####.#####..####..##.####.##.####....##....##.######..##..###.##..#.#.#.#.#.##.#...###.#.#.###.#.#.###..#..#.#.##.##.#....#.#..#.#####.####..#..#.#.#.#.##..###.#######
..##..#...###.#.#.##.###...#..#...#....#...#####..#.##.#.#...#..###.##.#.####.######..##.##.#.#.####.##.###.....##..#.#..#..##.##...##....##.#..##...#.##....##.##.#.....#.#..#.#.#..######...#.##.##.##....#..###.....####.#..####.####.##..###.#..#.#.##.###...#.#..##.#..........#.##..#.##.##...#.##..#......##...######.#.#.#.####.#.#..##..#..##.#.###.#.###.##...#...###..#...###....#.##..###...#.#.###..#.....#..####.##..##.#....#....#....##.##.#.#......##.##.###.#.##.#.#.....#.....####.#....#..#.##..#....##.####.#..#.##.##..#####....#..#..####.##....##....#.##.##.....#..#.#..##...#....##...##.###..#.##.......###.####.###.......##..#######.#...##.#.#..#..#.#.###...#..#....##.####.########.##...#.....#####..##.#....###...#...#.#..###.##.#.##.###.##.#...#..#.#.#.#####.###..#.####.#.##....##.###.###.#.#.#.####....###.#....###..#.###.#.##.#.###....#.##.#.##.#.......#.#..#..###...##.###.#.#####..###.#.#.#.#.#..#..####.###.##..#.#....#.#########.#...........#.#...#.###...#..#..#..#####.##.....#...#.#.######.#############..#.###.#...######.#.#....#.##.#.#.##.###.###...####....####.##..######.###..#..###...#..##.###.##..#...#.##..##..##..#.#...#..#.........#.#.....####...###.#..#.###.#.##.##.##.#.###.#.#......##......#.#........#...#.###..#...#####...#.#####.#.###.#..##....###.##..##.#...#..#..#............###..###..#.#..#.#...........#.#.##.##...###...###.#.........#.###.##..###.#..#.#.#..####.##.##.#.###.#.#.##..#.#...#.##..###...#.#......##....#.#...##.#.####...###.####.##..#.#..##....##.#..#.#.#.##...##.##.......#.##...........##..#.##.##....##...#.###.##..#.#.#..###.########.#..#.###.####.#.###.##..###..#.###.#.#.#...#.##.##.#.#####..#.##...#.....#..#.#.#.##...#.#.###......##..#....##.#.##..###.##.###..#..##..##.#.#...#.##....##.......#..##.#.##.#####....##.####.#..#.##......##.#####..##.#....##...##..#.##.##.##.##.#...####.#..#..##.####.....###.#.#.#..#.####.#.###..###.###..#.#.##....###.###.#.#.####..###..##########..#.#.#..#.##....###.#..##....#.#.#..##..#..##.#####.#....
#..#####..###.##.#.#.###..#...#.#..####..#...#..#.##.###.#....#...##......##.#..###.##.#.#....#.......###.#....#.#..#.#............#....###.###.###.####....##.##..##....###.####....######..#.#.#...###..##.#.##..##.....##..###.#...#.#####....##.######.##.####..###.#.###..##....#...##..#.#..##.###...##.#........####...#.#.#.#.#.###.#..##.....#....###.###...#.#...##.#.###.#..######.#........#....#.##.#.##.#.###.####...#.##.......######.####.#.###.#.......##..##.#.#....##...##.####.######...#.#.#.......#.#..##.#.#..##.#...#.##.###..#..#.#.#..####.....###...#.##.....####..##.....#..#.#.##.#.###.#####.####.##......##..##########.#..#.##.##.#.#..#.##..##..###....##.#....#.#######...#.#.#.....######..#.#.###....#...######...#..##.###.....####......#.######.....#..#.##.#..#####.###..####.#..#....#######.#.##..#.#.#...####..##.#.#####.#..##....##..#.#.##..##..####.#..#.##.#.#####.......#..#..##..##...##.#....#######.##.#.##.##.#####.####.###...#.###.##...##.....###.#.##########.#..............####.#.....###....###.###....#.#######..##.#.##..#...####...#.#.#.####......##..##.#.#..##.###.#.....#.#.###..###.##.#####...#..###...#####..##...#####.#.......##.#..##........####...##.#..#.##......###..#...##..#.#.#.##.########.##.....##.##.##.#..#...#...#.#..#.#.###....#..#...##.##.#.#.########.###..##..##.#####......#####..###..########..#..#.##..###.###..#..#.#.#..#.#.######..#.##.#....#.####..##..##.#........#.#.#####...##.##.#.#...####.#.####.........#..####.######.####..##..#.###....####...####.##.#.....##.##...###..#....###.##.##.##.###..##...#.##.#.#.##.#....#..##.###..##...#.##.#.##.##.#.####...##...######..#.###.##.#...##.#...#####..#.##..........#..#...#.#........####..####...####.#.##..##.##.##....#.#.#....###.#.#..#..####.##...##....####.#.....#..#.#.###....#.###..#.#####.##.#.###....#.###.#.###..#.###.###.#.###..##.##.##..######..######....#.###.#.##.##....#...##..##..###.##.#.#.#.#...#.###.###....##.#.##.....#.#...###.######....#####....#.#.##...#..#.#..###...#..#..#..#.
.#..##.#.#...#.#.###.#.##.###.#...#......##....###..#.#.##.####....###...#.#.#.#.#.##.#..#.#.#.#.###.######....#.###.#...#...##.###..##.#...#..##...##.#.##.#..#...##.........#.#....#...#.####..##..#...###....#.####..####..#.#..###.#...#.##.##....#.....##.#.#..##.#.###.##...#......#...#..#.#..#.##....##.##.##..#####.###.#..##.#.####.#.####..#.##.......##....#...#....##..##....#...#####.#.#....##..##.......#..######.##.##....####..#..#.#..#..##.#..#.####..#####..##..#.....###.#..#.#.#....###..##.##.....#..#.###..#..#.#..#.###..#..##.....####...#####...#.#..####..#.#...#.#.####..#.#.#.#.#.####..##....#.######...##.###.......####.#.#.#.....##...##.#...#.#.##.#....#..####.##..##.###..#.#.....#####.###.#..#..#..###........#..#...#...#.#.##...#.#.#.###.###..#...#####.##.##.######...#..##....##.##.....#.#..#...###....##.#######...##.##...###.##.#..######..#.##..#..#....#.#..#.#...##...####..#....#...##.######..#.#.#.##..#....#.###..#.#.#.#.#.####..##.....####..#####.#.##.#.##.##.#......#.#.###...#..#.#.#.###..#..##...##.#####.#.####.....#.###.#....#...#..#..#.#.#.#...#..##.#.#....####.....##....#.##..#.#.##.#.####.##.##.##...##.#.#.#..######...##...###.#####.###.#.#..##...###.###.#.###..####.##.#...##.#..##...#......#.#.#.##.###.##.##...##.######.##.###########...###.....#...#...#.###.#####..###.#..#..#.###.##.#####.##.....#.###.#.#...##.#.....#.#.#####.#.#.###.#.#....#.#.##.#.##.##.#..##..####...#..##.####..##..#..##.########...##.###..#..###.#.##..#..##......##.###.......##...#######..#....##...#.##.......########.##....#.##.#..#..##.#.#....#.#.#......#...#...#.#####.#.#.#.#.#.###..###..#....#.##.##.#..###..###.#.##.....#..####.#....####......#.#.#.###...##.#...#.##.#..##..#...#.##...#.#.###.#.###..##.#..#..#.#.#..#..#.#...###.#.#.##..##...#..#.#......##....#..###.##.#.#.##.##..#........##.....###.###...###.......#.##.##.##......#...##..##.#..#...#..##.#.#..#....##.#..#.##.#.##.##.#####...##..###...####...###..##........####.#..#....#...#...##.###...#.#..#.#.###.......#..
##.#..#.....##.##.#.#.#####.#####.##.#.#..########.#.#..#.#.....#.##.#.#.###.#.#...#..########..###..##.##.##.#.####.#.####.##...#######....##.#..###.######.####..#.#........#.#######.##.#..#..##...#.##.####...#....###.#.####.#.#.###....######.###.#.#...#...#######.....####.#####.###..#..##..##.##.#####..#.####..#.#####..##.##.....#..######.#.##.#..#...#..#...####.####.#.....##..######.##.#..###..#..##.#......#..#.##...#..######.#.##.....#.#...###.#..#.##.######...#####.....##..###.#...###.#..#..#.#.###..#...##.#..###..#..##..#######..###...##.#.#.###..#####..####.##.#######.#####.#.####..###..#..#..####.#..#..#..####...#..#.....##.#.##.###.##.#.####.##.##.##.....#..##.#.#.#.#.....####...#.#.#.#.#..###.##.###..#.##..#.##...#..######.##..#.#.##......####.#.##..#.#....#.#.#.#.######..###.#..##...#####.#####.#..#.#.#...#.##..#.#..##.####..#...####.###.#..###.##......##.....#.#...##.###..#..##.....#..####.#..#...#.....##..###.#.#..##..##..####.#...#.#.#.#...#.##.###.##.#.#....#####.......#..###..###..#.#.#.#.#.##.####.##.#..#.#.#..#.#.#...####.##.#..#.#..#..###.###..#.##.#..####.##.###.#.#..##.......###.##.####.###...###...##.####...#..#.#..###.#..##...#..##.##.##.##.####..#..#.#.##.....#.##...#.###.##.#.....#.#.##.....###.#####...#..###.#.#####.#....#.#.##...#.###...##..#.#.###..###..#.###.....##.#..#..#.##.###......###..#.#..##.#.###.#..#...###...##....###.##.##....##...#...##.#.#.##..#..##.#.##.#.#######..####.##...#.....#.##..#.#..#.#.#.##..#.##....###.#.#####...#####.###...###...###.#.#.#...#####.###.#######...#.#...###.####.#.#...#..#.......##.###.###...#..##...##..####..#..##.###..#..#....####......#.#..##..#..#.#.#.#...##..#.#..#.####.##.....#..###....#.#.#..#..#..####.#..###.#################...######.##..#....#....##......###.##..##....#..#######.#.....#.##..#####.#.#.#..##.#####.#.#.###..#...##..###....##....###.#.#.###.#...#...##.#.##..##.#.#..#..##.####..##.#..##..####.###...#....##.###.####.#..##..##......###.##.###...##....#..#...##..##.#..#.##.##..##...#
#..##..#.....##...###.#.##.###..#..#..##...###..##.##.##..##.#..#.#.##.....#..#......#.#.####.#.#....###.#....#.#.#.##.###.#.####.#.#..##...##..##..#..#.####...#.##.#..#.#.##..##.#.##..##...#.#.##.####.##.#...##.#....###.....#.####.......#..#..#.##..##.#..##.#######...#.#.....#.##..###.......##.##..##.##...#.##.##..#..####.##..####.###..######......##.#..#....##.#.#.#.###.....#..####.#..#....##..#...##.#.###.#.###....#...##..######..##....#.##.##.#..#.##..###.#.##..#..##....##...#.###...#....#...#...###.##.#..##....###..#..##..#..###..####.##...#.####..#.....#.#.#.##.....##...###########.#########...##.##.##..#..#.#...#.###..#.#.#.##.##.##.#.......####.....##.#.#####.#........#..###...#....##....#..#..###.####..###...#.#..######.####.##.#..##..#..##..#...#..#.#.....#.#..####.###.##.#.....#...###.#..#..#.##..#.....#.#..#.#..#####.#.#.#....#...#.##.####...##..#...######.#..#.#.....#...#.#..#.###........#..##...##.#..#.......#.####.######..##.##.####.##.#.###...###.#..##..##.###.####...##.....#..#..#.####..####.......##.#.#....#.#....#...###.##..###..#..#.#.....###.##.#...####.#.#.###.#.#.....##.######....##.##..#....#..##...#.#.#.##.#...##..##..####.##...###..#..#..#.##..##.###.#.#..##.###.##....#.#####...#.###..#..#.##.#...####.#.###.#.##.#...###.##...#.#.#.#.#...##..####.#.#.#####.#####....#.###.#.#...##..#.##.##.#....#.###.#.######...#..##...#..#..#####........##..##.##......##...##..#####..#####.#......###.#.##.#.#.##..#.#..#...#.#..###..##..#.###..##.#..###.#.####..#.##.###....##.#.#.###.##.##.#.#...#...#..#..###.......#..###..###....######.#..##........###..##...##.####.#....#.####...#.##...##.####.#.######...##..###.###.......##.#.##....##..#..#.####.##.##...###.##...#.#..#..####..#....#...#.#....##...##.#....###.###..##.###.....#......##.#.#...#.##..##..#.##.#.###...#..##...##.#....######..#...#.#...##..##..##.#####.####...##...#.##.#....#.#.####..##.#..#.##.#.#.#...#.#.##...##..###.#...#.##..##..#..##...##...###.########....####..#..#..#..###.#...##......#...
...##.#######.##.#.##.....#....#.#.####.###..#..##.#.###......##.....#.#..###.#.#.#..###.###.##...####..##.###.#.#####.#####.#..##.#.##.###.##..##.###..##..###..##...#.#.##.#..##..#.#...#.#####...##.####.##.##.##..#.###.#....#....#..#...#...#..###.###.#.#..##..#...#####..####.#.#.#....##.#..#.#.....###.#..#.#..#.#..##..##..#..#.###..##..#####..#..##..#.##.##.##.###..#....#...###.##....#.#..#.#.#..#..###.#.###...#..#####..#####..##...##....##.#......##..######...##...#..###.##.#..#####...#.##....####.#..##.#.#...##.##.####.##...##..###..#####.##..#..#####...###.#.#.....#.......##.#####.###..####.#.###.###..#...####.###.#..########..#.#.....####.####.#..#..#...##..##.#.##.###..##.#.....#...#######..#........##.##.#..##.####....#.....#.#.####..#######..##..#.#.#......##.###.###.##......##......##..#####.#######..#.##.##..###..#####..##...######.###.#.##.#.##.##...#..#..#.##.....###.###.#..#..#..#####..#...#.######.###..#..####...##...##....######..#.##......#..#.#.#####.#.#####....###....###...#....#....#..#.#..##..#.......#...#.##.#.##.....##..#.#....#.##..####..####.#.###.#....####..#...##...#.....#######...#..##..#..#.###.##.#.#...####.#....##.##.#...##.##...#.#...##.###.#.##......####..#...##..####.#.#...#.#.#....##.#.#.#...#......##.##.#...##....#.#.#.#..###############....#..#.##.#####.##..##..#.#..#.######..#..##.#...##.######..#..#...####..##..##..##.###.#.###...####.###...##.#.#.#######.###.#.#.###.#..#.####.#####..#..##.#.....##..#.#.##.#.###..#.######.#.####.#.#....#.##.###..#...####.#..###.#.##.#...#....#..##.##.#.###.#.#....##...#...#..##..#.#.##.#...#.###..#...#..#..#####.###.#####....##.##..#.#.##.#...#......##...##.#.....##..##.###..###.#.##.#..#.#.##...####..#...##.#.##.##.....##.##.#.##.....##.##.##..#..###.#..#...#.###.#.##########.#.#.#.##..#....###..##.##......####.###..#...##....##..#..#.#.#####..###.........##......###..#.....#....###.#....#.....#.#....####.##..#..#..####...##..#..#.#...###.###.....#####...#..###.##.#.##.###.##......####.###....#
#.#####..###.#######.#.####..#..#..##.##.....##...###...#...####....###...#...##.##.#.#...#.#..#.####..##..##.#.#...#.#.#.#.###..#####..######.#......###.#########.#..#..##..###..####.#..####..##.##.#..#.#.#######.##.###...##.####.###..##...###.#####.#...#.##..#.####.##...#...#.#.#.#..#.#...##..#.###......#..#..#.#....###.#.#....###.##...######...#.##.##..##..#.#.#.#####...#...###.##.#######.#..##...#..#######....#####.##.#.##...#.###...##.###.##....#....##...#.##.#..#.###.#...###.#....#.....#####.#..#.####.##...#.##...####.#.###########..#..##.#..#.##..##.##..#.##.#.######.#.##..#..##..#..###.#..#..#.....###.###.###.##.#.#######..#.#..#.######.#######..##.##..#.######..#.##.##..#.##.#.#.#...#.#.#.#.....##.#..#.#.#..#.#.#....#.##..##.#.###.##.#....##.##.#.#..##..##.#.#.##...#..#.##.###.#.###.###...#..##...##..#.###..#.###..##...#.###.#.....#.....###.#..#...#..###....##.##..#..#####.#....##..#.####...##.####.###.##..##..#.#.#...##...#........########..##..##.......###.#.####...#..##.##.#....######.#.###...#..#....#..#.##.#....#.####...#.#..###.##.#.#...#..#..##....#..##...#......#..###.#.#######.#####.##.#.####.#.#..###..#...#.##..#.#.#..#...###..######....#.##..##.#.#....#....#...###.##.###.#.#.#....#.#..#...#.#..##...#..#..##.###.##.##..##.##.####..#..#.#...#.###..##......#..#.#.#..#.#..####..##.....#....#.####.#####...#.#.##...#.##.##...##..#...#...##.#.####....##.##..######...#.###.#.###..#..#....#...#..#...##.#...#.##..##.####.##.####...##.#..#..####.##..##.###.##.#.#.###..#...######..#...##..##.###.#..##.####.#.#.##....##.##...###.##..#.####.#.#.#..####.##..#####..########.##...#####..#.#..##.#####..#.#..#..#......##.#.##.###..##...##.#..#..##.##.#..#.....##.#...##...########.#...#..#.#####.#...###.#.#...######..#.#....#####..#.##.##.###.##..##..#..#.####.###.###...#..###...##.##..##....######..#####.#.##.##.##.##.###.#.##...########.#.#.#..#...####..##.#..#.##...#...#.###..#.#..##.#.###..........#...#..##.#....#.#.##.##.###......###.#..##..##...#..#.#....###.#
#...##.#.#.#..#.###..##..#..#..#####.#..#..#.#.#.#..#..#..####.###.#..##.#.#.##.###.#.##.#..####..#######..#.#..####..####...#..#..#.####..######.###..####..########.#......#...#.##..#.#...###..#.####.###.#.###.###.#..###.#.##...#...........#..#..#...#.#.##......#..#.####.###.#.###...###.###.#..##.#...#########..##....###....##....###..##.#.#..##.#.##.#..#.##.#.###.#####.....#####........#...###..####.####.##.###.#...##.########.##.#.#....####..##...####..##..###.#.###..##...###..#.#.####....#..##.##..#......#..##..#...#..#.##.#.##...#.###...##.##...##.####.##.###.......#.###.#...#.#.....#..##.#........###.#.#...###..#..#.#..##.#.###.#######.########...###..#..#.##.###...##....#####....##.#........#.##.##.#.#.####.###..#.##.#....#...#...####..#####..#.#..#.######.##.#..######.#.##...######.#####..#..#..#.....##..#.##..#.#.####.##.#...#.#...##.###...##..#..#...#..#.##...###.#.#.###..####.###......##..#..#####..###...####.#.#...##.##.#.###.###.#.##.##....##..###...#.##.#####...#...###.#.#..#..#.#.#....###########..#########...#.#..###.#.#.#....#..#...#....###.....#.#....#.....####.#.......#.#..##...##.#..#.####.#..###.#..##.##....##..#######.##....#..######..###.#..#.#.####.#.#...#.#.##.####.##..###..####.#####.###.#.#..##.#####..#.#.#..##.##.#.##.##.####..##.#.#.#####.#...#.#......#.#.#..#######....#.##...##.#.##.###.#...#.######.##..#####.###.#....###.......#..##....##...###..##..##..##.#.##....#######.#...##.######..####..#.##..#......#.#####.####..#.###.#..###..###.####..#..###.##.##...#..####...#...##..##......#..##...##..#.####.#.#.....#...####...##......##..####..#.#.#.######.##..#.#.###.#.#.###..###.#....##....##.#.#.....###..##.#..##.#..#..#....###.#.#..####.#.#.#....##..#.#.##.##..####.....##.##..#.###.###..#.......#.#.##.....##...#.#......#....####..#.........##......#...#.......#####.#.#.....#.###..#.######.###...#...###.##..##...#..#.##.#..#.#..#####.#.###...#......##.#.#######..##.###.##.#.##..#..#.....#...#.......###..##..##...##.#.#.#.####.....##..#.##
.##...###.####.###......#..#...#.##..#...##.#....#.....##..#....#.#.##.###..###..##.#.##.##.###....##..###...##..#..#####.#.#...######..##..#..##..#.###..#.####..##...##.##..#.#.#.....#.#..##...###.#......#...##.##...#.......#...####.#.###.##.##.#.###..#...#....#.#...#...#.#...#.#...##.....##..##.#########.#..##...#..#............#.#..##.##.#...#...#.####.#.##.#.#..#...#.##...#....###.#.#.##...###.###.#.....#####.......#.##.##.######..######...##......#.#.#.##.###.#.#.##.##.##.#..##.....#..##.#.#...#..###..###..##....###..#..##.#..#.##...##.#.##.#..#.#....###..##.#.....#####.####..#....#....##.....######.##.#..#..##...###....####.#.....###..###..##.##..###...#.#..#.#.#.#..#...##.##...#.#..###.##..#........#...#.....#.#.#..#.....#.#...#.#.#####.##.#.##...######.#.###..##..#..#.#.#.##.####...#####..##.#..#.#..#.#..##..##.#.#...#.#...##..####.#...###..#..##.#.#.#.##.#.###.##..###..#..#.#..#...##....#.........#..#.##....#....###....#..#.#.#.#.#......#...###....#.###...##.#..####.#.##..#.##...##.###...#.#.#..###.....#.........####.#...###.##....#.#######.##.#.....###..#######.....##.##...#.#####..#...#.....#.##.###.###.##..#..##..##....##.#..#..#####.#.#..##.#...###.##...#..#######.##...#..##########...###..####.#.#..##.#..##...#.###...###.#..########.###..#.#.#.#.########.###........##...#.#..#..#.##..###.###.#...#..##...###..###..#.#...#########..###..###...#..###..#.###.#..#..###......###.#...#.#..#.#.#...#..###...#.###.##..###..####.######.#..#...###...#..####....#...#.##..##.......##.####...#..#..#.##.#.#.#..##.#....#.#..#...#####..##.##.#####.##..##...###.###.#..#..####.#....#.##.########..#.#.##..#..#..##.....####...#.#..####..##.####...#...##..###..##.#...######...###.#...#.####.#.#..#..#...#..#.###.#.####.#.#####.#.#.#.#..##.##...#...#..#####.#####.#####.#.#....#.####.####.....#...#.#.##########.##...#.###..#..#.##..#..###.###..#....###.#.##.###.####...#..##.##....#....#.##..#.##.#.#.##...#...#.##.#..###........#.####..##...#..#..#..##.###.#####..####.#.#####..#
...#.##.#..###.#..##.#..###...#.#.###.#.######.##...#.###..#.....####.####..###.##.#.##.##.####.#.#.#....#..##.#.##.#.......###.#..#.##...#.##....#####.##.#..#.###.#.###..##.####.#.#...####.#...#....###.#..##.#.###..#....#.#.....#..###.#.#.##.###...#...#.####.##.....#.#.###.#.#....#.#....#.#..#.###..#####.#########.###...#.#.####.....##.##.###..##....#.#.##..##.######.##...######.#.##.#######.##..######.#.##....#.#..#.#.#.##.#...#.#.#..#.#..#.####.#......#.##.###..#..#.##.#..#.#...##...#.#.......#..#.#######.###.#..#..#...#.#..#.###..#..###....#.#...#.###.#...#..###..###.##..#.##..#..#.#...####......##.#.#.#.##..##.##..###.....###..####.#..##..#.###.#..#....#..##..#.#.#.#####....###..######..#.###..#..##......###.###.###.###.#.#..####.#..##.##.#..#.##.###.######.#..##.#...##..#.#.##.#.##.#......##...#..#.#.#####.##.#.#....##.#..#.###.....##..#.#...##.#.......##..##..###...#..#..####...###.#..#..##.##.######..##.#..##...#...#.#.#.##..#.###...#..##.###.#.#.#.#...#.#.####..#.####..##.#.#.####...##.#####.....#...#...#..#.#.#...###.#.#.##.#.#..##.#.#.####..##....#...#....#.######..#.....#.##..##...##.#.#.#.###..#.#...#...##..#..##.#.#.#.#..#####.####..#.###.###...##...#.....###.##...##.#....###..###..#..#....##.###...##..##....###.#.#..#....#.#.#.########.#.###.####.##..###..#.###..###.#.#.##...#..#####....##....###....#....#..###.##....###.#..#.######..####...#.####.#.....##....###....#..#.###...##....####....#####.###.####.....#..#####...#..##.....##.#.....#.#.#####.##....##...####..###..#.....##.####...##..####.##.#..#.#...##..#.##..##.#.##.#....#.###.##...#.##.#.###.#####..##..########.###.###.#..###.#..##..#...######.########..##.#..#...#..###.#...#.#.##.#..#...##.#..#...###.##...#......##.####.###.#.##..######..#..#..######.#.#.#...###..##.#.##..##.##...##...###.#.##..#.#.####.#.#.....#..#.#.##...##...##...#.##.#...###...#.#.#..#..##.#.###.#.#.#.#..#.#.#.##.##.####.###..###.#..#..###..#..####..#..###..#.#.#.##..#..##.#..###..#.#.#.#####.#.#####..#....#....#...#..#.
..##.###.####......####.##.#..#..####.####.##..####...##....#.##...######.##.....###.#..#...##.#...######....####......#..##.#.#...###.###..###.#...#.##.#.###.......###.##..#...##.##.######.#.##.###.##.##......#####..####.###.##........#.##...######.#.#.#######...####.#....#.#.#.#.#...#..####.#...#.#.#.###.##......####...#####....#..#.#.#....###...######.##.##.####.#.....#.#.#####.###.###...##.###..####..###.#####.#.#....#..#.#.#.#..###.####.##.#####....##....#.#.#....##.#.#....###...##..#.#.....#..#..##.###...##..#....#..#..##..#...#.###.##.....#.#..#..#....#...#..###.##.#.##.##.##..##.....###.....###.#...##.......#.....#..##...#.#..#.###..##.#..#.....##.###....#...#.#.#..###..#..###.##.##..##....###.#.##.#.###.#.####..#.........####.#...##.......##..#.#.....##..##..#.#####.##..#.##.###..#..#..#..##.###.####....#.#.#...##.....#.####..##....#.#.#..##..#..##.###..#####.###.#..#.#..#.##.#..###.##...#.##.#.##.#.#............##.#...##.###..##.###.#..##.##..##..###.#..#....#...#..##........#..#####..#.#.#...#..#.#####.#.##..##..#..#....#...##....#..#.##..####.#....##.#...#....#.#..####..#.##.####.#...##...##.#.#.....###.#.####..#.##..###...#.#...#..#..##...#...##....#..##..#..#.#..#.#..######..#.####.#..##..#.###..##.##.##..##.#.#.##..#..##..#....##.......###.#..##...#.#######...#.##..#...#..##..##...#....###.###..##...##.#.###...#.##.####..#...#....#..#....##..#.##..##.....#.#.#....#.#.....######.#....####..#...####.###.###........#..#####.#..#..#..#....##.#.###.###.##...#.#####.....#.#.#..#.##.#.##...####.##.##...###.####..##.###.#.##.##..###.##..##.######.#....####.#.####..###.##.###.....##.#..##..#..#....##.#.##.##.########.#...######.##.#.#.#..###.###...####.####.#.###.###......###.#...##.#..###.#.##.######........#..##.#.#.#.##..##.#.....###.#..##.###.##.#..##.##.###.#####.#..###.#.#..#..##.#....##.##.###....####.....#.###.#..#.##.#.####.##..#.####.##....#..#.####.##..##.###.#..##.#.#....#.#..#..##..###.....##..###..#.#.###.#.#.#.###.####.####..##.#..###..#..#..#..
..####....##....#.###...######....#.###.#..##.#....#.#.##.####.....#..###...#####..##.##.##....##.##.....####..#.#...###..##....####..#.#.#######...#..#.#..#####...####...#...##.##..#######.#.####....###.#..#....##..#...#..#..#####.#......###.#.#.##....####...##.#..#...#..##.######..##.#..##..###.###.#...##.##.#.#.###..##...##.##.##......##.....#.###.##.##.#....##..##.#.##.#.###.##.#.......##.###.#.######...#..##.###..####.#.######..##..##.#.##.###..#..#..#####.#....#...#..#.#..##.#...#.#..#.###...###..#.###.###..###..####..#..#.####..#.##.###.#..#......#.#.###..#.####.#####.....##.##...#...######.#..##.##.###.#....#.#####.#....##....#.#..#..##..##...#..#.#.#....#.##..###..#..#.#.#.####..#.######.#####.###...#.....####.........#.#.####..#..##.####..##...#.#.#.##..##..##....#...#...####.#......#..#..##.#..#..#.#.###.#.##.##....#.##.#..##.#.....###....####.#.#..####...#..#..###..#.#......#.#.##.##.#.####..#.##.#..##...#.##..##.#.#..####.##..#..........#.##.##..###.##...###.####.##.#.#.#...#.##..##.######..####..####..#..###....#..#.#..#...#.#.#..#.###...#.####..#.#.#..###..#####...###..#####.###....##.##.#.#.##...#.####...#...###.#.....##.#..#.##......##..#####.....#.####.#####.....#.....##..#####..#.##....#.#.##.##...###.#.#.#......#..#.#.#.##...#..###...##..#.#.#.#.#.....###.###.#..#####.##.#..#...#.###....##.#.#.....#...##..#.##.#..#...##.###..##....##.#.#.##.#.#..#..#..##...##.##...#.#..#.#.#...#...####..####...##.##.#...#.###..#.#..###.#.....##.#.#....#.#.#..#.####.#.##.#.#..#......#######.#....#.#.....#.#...#.#...#.##.#..#.###...##....#...###.#.##.#..##...##.#...#..#####....#.....##.....##.#...##.#..#....#..#.#...#..##.....####..####.###.#........####.#...#####..###.##.###...#.#.##..#..#.###...##..##.#.#..#.#.#######.##...#.##.#......##...#....#.##.##.....#..#.#.###..#.#....###.#.....##..#####.##...#...#...####.#...###..#...#.#.##....##.#.#.####...#........#..#...##....#.#######.##.#..####.....###.#.#.#.##.###..#...#.#.##.#..#....#.###.##.###...#..##....#..#.#..
##.#.#.#.###.....#.##..##.##..##.###..##..#...#..##....###..#.....##.####.####.#.###....##....##.##.#.####.####.#..#.#.###.#.#..##.#.#.#..##...#####...##..##....#..##.##..######...#.#..##.#.##..##..###..#...#.#######..#.##...#########...#..#.###...#.#.##.##...#..#......###..#.#####...#..##.#...###....##.....#.#.....######.###..###..#..##..#.###...#....##.#####.#####...###.#.#.###..#.###...#......##...#.#..#......#.##....#.#.#.####.........##.####.######.#.##........##....#.##.##..##.#..##.#.###.....###.##..##...#.#.###.........##.#....####.#...##....#..#.######.#.#.#.......###.#....###....#..#..###........###..###...#.#.....###.###..###....##.#####....#..#...####......###..######.####..#...#.....#.###...#######.##..#.##..#.#.##..#.#.#.##.###.##.#.#.##..#####.##...#..###....##...####.#.....#..##...###...####.######.#.##....#........###..##..##...#..####.#..###......#####.#.####...##...###.#.#.#.#.#.#.##..#.#..#......#.#.###.#..##.#.###.#..######..###.#.###.##..###.#.#####.##.##..#...#.#.#..#..#.....###..#...##...#..#..##..#.#..#.######.#.#...#...#...#.#..###.##.#.#..##.##..#.##.#..#...###..#..#.##..##..#...####.....#.#####..##..####.##.#.###..########..###.....#..##.###.##.##..###.###.##.##....##.###..#....#####.#.##..###.#.....##..#.####.#.###.######.###...#.#..#...#.###.##.#.#.#...#.#####..#...####.#..#.###.#.##.###.#..#..#.###.#...####.#.....#...####...#.....#.#####.######.###.#.....#.#.###.#....##...#.##.##.###.#...#.....#.##.....####.#.##.#.####.##.####....#..##..#..##..####..#.###.###.#.#..#.#..#.###.####.#.###.#####..#..#.##.#.#...######...###..###.#####..##.#.##.####...#.###..##.....#.#.###.....#..##.##...####.#.#.....#..#.......#..#.#####.###...#######..#####...####.#.#..#######.##....#.#.##.#........##..##.###.######...#.##..#.###....#....#..###..#.#..####.#...#..##.###..###...#####..####...##..#.#####.#.#.######.##.#.#..#.#.#..#....##.#..#.##.#.#.##.#...######..#...#.###.....###.#.#######....#..#......#...#####.#.#......#.....##.#.##...##......#.##..##.#..
#.##.###..####.#..#.##.....##...#......#####.###...##......##..#..##..###..#...####........##..#..###.###..###..#..#.###.#.#..##.#...##.####.#....###.####...#.....##.#####..###..######.###.#.#.#..#.#.......##.#..###.##....#######.....#...##..#...#####..##....###..#......###.###.#.##.######.##..#..######..##...#.##....#...#...#..#.##..###.#.###..#....#...###.##.######.##.#####........##.#.#.....##...#...#.####...#..######.##.#...........#..##.###.##..#.##.#..####..#.#.##..##..###.####..#.###.......#....#..##..###...#.....#.#.#....#.###.##..#..#.##..#...###.#...##.###..###.#..#.##.###.#..#.#.#..#...##.#...#...###.##.#.#..####..######...##.#.##.##......#.....#..#.#....#.###..#...#...#.....###.##..#..#.#.####......##....##.####.#..##.......#.......##.#.#.#..##..#.#######.##..#..#...#..##...#######.##..#.#..####.##.######..####.###.####.###.##.#.#.#######.#..###..###.##.....#.#.......#....##.#.###....#.###..###..##.####.#.#..##.....#.#.#.##.###..#....####...##.....#.#...##..##.#.#....####.##....#####..#..#...##.#.##..#.##.#.#..###.#.#..#....###.##....#.....##...#...#.########..#.##..#.......#..#..#..#...#.##....###..###.#.##.#...#.#.##...##.#...#..#.....##.#...#...#.#####.#.#..#####....#.#.#..##.....#..##.##.#.##..#...##.####..##.##..###....###.###.##.....############.###.####.#..##...#......##.#.##...##...#..#....#..#..#...#..##.#...#.###.####.####...##.#.....#..#.#####..##.#.#.#.#.#.##....#..###...##..#.#..######..#.#..##.###.#..##.####.##.##.######.#...#........##...#######.#....#..##.##.##....##....#.#..#.....#....#..#...#.....##.....#.###.#.##...###..#....#..#....##.####....#..#.##.##..##.....#....##.....#....##....#..#.#........##.#.#.#.#.##.....#.##.####...#.##.###.#.#..#.....######..##.#.#.#..#......#.###...####.....##..#######.##.##.##.#.#.#.##.#.#.....##........##..#...#...####..####.###.#.##.##......###.#.##...##.#..###..#..##.#...###..###..##..##..#.#.#...####....##..#.###..###..#.#.###.##.###...##....#.##.#..##..###.##.##.#........##..#.#.#.#.#.####.#.#.#.##
###...##....##...###.##.##.....##.#...#.#.#..####...#........#.#.#.##...##.##...#..#..#.#..#....#.#...##.##..####....###.#.#.#.###.#.###..###.#####.#.#....#..#.##.###.#....##.######.#.#####.##.##..##..##..#..#.....##.###.#.##....###..#.#....#.#.#..#..........##.#..##.#.#.#.#......###.#.....####.###......#.#.###.##..###..#..#####....###...#.##..###.###..#.#.#.#####.#..##.##.##.##........#.####.##.#.#...##..#..######.###..#.#..#....#.###.###.#.....##...####..######..#.#####.#####...#.##..#...###.#.###.##..#..#.##.#....###...##..#.##........#..##..###.#.#.#.#...#.#...##..#.#..#..#.##.#.##.##.####.##.#..##.#..#...#..##...#####..##.##.#....###...#..###.#.#.##..##.#..#.##.#.###.#.#.#..###.#....##.####.####.##.##.....##....##.#....####.#.##...#####...##.#..#.###.#.##....#.##.....##.#..##..##.#..##...#.###....#........#...###...##.....#...#...#....#..##..###.#.#.##..#.#.###.##..#.#.##....##..#..###...##...#..##.#...#..###.#......##.#..####.##..##.#.#.#####.##.##..###...#....##.####..##.##.##.###.##..##......#...#.###.######...#.##.###.#...###.####.#...#..##...###..###.....###...####...#.###..##.#..#...#..#..#...###.#..#...##..#.##.#....##.##...##.#..#.#......##.##...#...##...##.##..#.....##.###.#.##..####...#....#.#..####.#..#.#..###..###...#..##.###..###.....##......#.##..#.#.#..#..##.....#.#...#.#.#.###.....#.#.####.#.#.....#...#####.##...##.##......##...#.#.#.#.##..#.##.#.###.....#.#.##......#.#...#.#..##..##.#####...#.#....#.##..##.#.##.#.#....###.....#.#.#.#.#...###.###.####.#..###.#.###..##...#.##.#...#.....##.###.##..##..#....#...#.#.#.#####..#..##..#...##.##.##.####.#.##.##.#...###.#..#####..##..##....#...#..#...####......#.#.#....#.#..#...###.....#...###....#####.#.###.#.#...#..##..#.#.######.##...#.##.#..#.#....#...###..##..#.###....####.##..##....####.##.#.####.###.#.....##...#.#.##..###.###.##.#########.##.##.#...##...####......#..####.##..##.####.#...##..#.#####..##..########......##..####..####...#.##.##..#....###..#.#.#...##..###....#.##.##........#.##...####
..#.#..##.#......#....##########..#..######.#####..#..###..#.####.##..#####..##.#...#.######...##.#.#####.###.#..####.........#.##...###.#.......##.##.##....#.#.#...#......#............##...####..##..#...##.#.#.#.##..##.....#...##.#.#####.#.#.#...##.#...#..###.#.#.....######...###.#..#....###..###..#....##..##.#.##...####..#####.....#....#.#.......#.#.#...#...##.#...#.####.#.#..##.....##..#.....###.###..#..##.##.#.##..#.#..##..####.#####..#..####.#.#...#..#....#..#..##..#.#....####..#..#.###.###.####.#..#####..##..###.###..#...#...##..#......##..##.##.####.##..#....####...#.###.#.#.###..####.##.#.....#...##.#.##.#####.#...#...####..#..#.#...##.#....#..#.##..#...###..##..###.##.###...........#..###.#...#..##.#.##.#..##..##...##.#...##.##...##..#..##..#.#..#.##.#..###...##...##..#..#.#....#..#.##..#....#..#.##..#....#...##..#.####.....#.#.#.####..#...#..#......####.##..###.###......###.###....###.#.########.#.....#..####.#..#..#..#..#.....###..##.#.##...##..##.#.#.#....#..####..#...####.##..#...###.##..#.####.##.##.#.#...#.###.#..##...##...###..##.##..##.###..##........#.###.###.#..#..#.....#.#......#...##.##...#.#.######....##.##......###...###.....#..#.#..#######.#.##.###.....##.###........#......##.#...##.#..##.#..#...######.##.##...#......##.#..#.###..#.#...######.##.....###...###.####...#.#.#.#.#.#.##.#.#.###..#.###.#..##.####.....##.#.##...###.##..#..#.....#...#..##...#.#..#......####...##..#...##.#.#.##..#...###....##...##.#.#.....###.#.#...##..#.#.#......#.##.....###.#.#....##.##..###..#..##.###..#....###.##.#..####.......###..##.#.#.#.#.#..#..##.#..#.###.###.####..#..##..#.#..#..####.#.##.#..##.#.##.#...#.#........##.#.....#.#..##.##.####.###.#.###.###.#.##.#.##...###.#.#...###....###..#.#..#..#...###.#.#..###..####...#.###.#.#...#####.#..###..##.####.##..####.#.#.##..##.#####.####..###.####.#.#####...#.##.#.###.#.##.##.#.....##.##..##.##.###..##......#...####..#......#.#.######.#.#.##..##.#.#.#.#..##....#....##.##.#.#...####..###.#..###.##.#..##..#.##.##.#..
#..######.#...##..###..##....#...#.....##.###.##.#..###.###.##..###.###.....#.......##....##...#...####.####..#.##.#..#..#.##.#.###..###..##.#.....##.##....####...#.###..#.#####.##.##.##..#.#######.#..#..###.####.#...##.##..#.#..#...#....#.#....#.####..#....##...##..##.#.#.##.##.#..#.###.##.....#####.###...##.#..##..#.#.#......###.#......#.#..##.####.##....###..##.##.###..##..###.#####..#...#...##.#..#...##..#..###.###.##.#.##.####..#.##.#...##......#.##.###.#.#.###..###..##..###...##....##########..#....#...###....##.....#...######.#.####..#..#.##....#...###..#.###.##.#...#.#..###......##.#.###.#...##.#.##.##.#.###....#...##.##...#####.###...####.#...#..#####.####.###..##.##..#...##.###...#..##...##..#..##..#...#..#.####....#..#..##.#.#.#.###.#.#..#..#..####.#..###..#....##..#.##...#...#..#.##.#..#.##..###.#.#..##.#....##.#.#.#######....##.##.......#....##....#....##.##.#.#.#..#.#####..##...##.####..##.##....#....#..#.###.##.#..#.###..#####.#.#....#.##.#.......#.#..##.###....#..#....##..#.##.##..#..#..##.#.##.##...###.#.#...####....###..#.##...###.##..######........#.##..#.###...##..#...#...#...###.#.#...#..#.####......#.###.....###.#.##.#...###.......#..##.##...#.###.#.####.#..##.#..####.#.##.##.#..##..#....#####.#..###.#.##..###.###....#.#..#.#######.#.#.#.....###..####..##.#.#.....###.#...#..#.####..#......##......###.#.#.....#..##...###.#.#..#...##..#...####.#..#..#.###.#...##.###...#...##.#.##.##.#.##.#.#..#.#.#####.#.#.#.#.##..##.####.#..#.#####.#.#.#.###.###......##.##.#####.#.###.....##.#.#######....##......##.#...#.###.##..#.#..####.##.##....###..#.....##....##..###....#####.#.#....#.#.#.#..#..#.#.##..#####.##...##.#....#...##..#####.##...##.###...#.....##.#..####..###.#.#..#..#..#..#..##.###...#..#....###..##.##.#.###..#........#.######..###...##..##.##....#.#.###....#...####.##..#.#...#.##...###.#.#...###..#####.#.#.#......#.#...#..###.###..#.##....#######...#...#...#...#.####.##.#...##.##.#..#..#.....##....#.#.......###...#...#.#.##..#.#..#.##..###..###
#..#..#.#.#.##.#.#.#..##...#.###...#.##..#.#..####.##.....#####..#.#.##.#########.###.#.....####..#####.##.##..##.....#..#...##.######..#..#...#.#....#...##...##.#..###..#..##.#.##.......#############.##....#..##...#.####.#.......##.#...###...####.##..##..#..##.###...##....#....#.####.#.#..###.####..#.##.#..##.#..#...#.#.....##.###.###...#.##...####.....#....##..####.####...##.####..#####......#..#...#...#..##.##.#.##..#.........#.#.##.#.###.....#......###.###.#...#.#.#......##.#.####..####.#.##...##.#.##..#..##..#.#..#.#.#...##.#####....#####.#....##...##.#.#.#.#...##.##..#..###..#.##...#######.#.........######..#.###...#.##.#####..##.##.#.##....##.....##....#..####.#...#.###.##..###.##.#.#..##..##.####..#......###.#..##..##.#......####..#....#..#.....##.###.#...#.#..#..#.#....#.#.#..##.###....#.#.#.##...##.######.#...##..#....##.#..##.##..##......#.#.#.#..##...###.#....#..............#..#.#.####.#.#..#.#..##..#.############..####..#....####.###.....###.#.###......#.#.##....#.####.########.##...####.......###.##..##.##.##.#..####.#..#....#..#..###..#.###.#.#####.#.#.###.#.#####.#.###...##.#..##..###..###..#....###...#.#...#.##..#.#....#.#####.#.#.#..#.##..###.###..#.###.#.#...###.##.#.#..###.#...#.####..#..#.#.##.##.#.###...##.##..#.#...#.##...#.#..#####.##......#####....########...#####..#..#.#.#...##.#.#...#...#.#.#.#...##..#.#...#.###..#..#.###.#.####..##.###....####.##..#.####....#...#.#....#.###.#..###...#...##...##..####.###.##...#.#####...####...#..##.#...#.#.##....#####..#.##..###..###.###..#.####........##.#...#...#..#.....##.#.#..##..#.#..#......##.....#..#...######.....#..##.#..##..###...#.#.##.#.#####.#.####..#.#.#..##..#..#####...#........#..#...#..#.######.##..#.##..##...#..##....#########.#.#.####.....#.#.#.#..#.###.#..###..#.###.######.#.#..#.....#..##..##.#..#####.###....#.#.#...##.#.#.#.##...##.#.#####..#..##..#.###...###....####.######..#.#..#.....#####.#.#.#.....##########.##...#.#.###...##.##......##.#...###..##.#..##..#.#.#..#.##...#####.....#
##...#...#..####.##.####..###.###......#.#.#.....####..##.#.##.#..#...#####.#.#..##.##....#..##...##.#######.#.....##.#..#......#.#..#.#####...#.#.###.##.#.##.#####...#####.###.###...##.#####..#..#####.##.##...#.#..#..###.##.##.#..##.####...##..#....###...##.#.###.####.#..#.####.##.##..#.#.##.###.########.......#..#......#.###..#..#.#.......##...#.##.#.##.#.#...######.##.###.#..#.#.##.###..####.#....###.####...#.#.#.#..####.#.##...###.....###.#.###....#.#.##..###.##..##..#.##...###.##.###...####.##.##...#####..#.#####...##.#.#.#...#.###..#..#.#..#....#.#.###.....#...#....###...###.##...#....#.##..##...####..##.....##...###.##...#####.#.###..###...##.#######....#####.##.###........#.#....#...###..#.##...#...#..#...#.####....#...#.#.#....#....##.#####.##.#.##..#..##.###.#.#.#.#..##..##.####...##..#..##.###.######...##..#..##..#.#.#..#..##...###..##.#..##.##..#######........##.#.###..##....##.####.#.....#.##...#.####..#...##.##...#.##.#.####...#.#..#.###..#..#.##.#.....#..###.#..####.###.###.##..#....####..##.#..#.###.#.....###....#####..##..##.#.####...##..##..####.#....##..##..##...#...#.#.###..#...#.##.....#.#......##.#.##.#.....#...##.#...#..........###.##.#........###..#.#..##.####.#....#.....##.#..##..##..##.##.#..##..###.#.######.###....#..#.#.#.#.##.#.#..#.##.#.###.###..#.#.#.#...########.##.#.#..#######..#.####.#..#.##..#.##.#.#.#####.#.####..#.#..##..##.#...#.####.#..##..##.##.#..##....#.#..#.#...#.#.#.##..##.#####.#..####....##...###.######.#..#.#.#..##.####.#.####..#.....#..#.#.###...#..##...##.#.#...#.###.#.##########....#..#.####.##.##..#..##.....###..######...####.#.##.#...####....##.##.#####.#.##.#....#.##.#.####.#..###.####..#..##.##..#.#..##.....##.##.#.#.#.#.#.#.#..#..#..###.#.#..#...#.#..####.#..#.#.###.#.####..#####.####.#....#.#.##..####...##..#######...####.#..#....#.#.....##.#...#.#.###...#..###..##..#..#####...##..##..##.#.#.##.##..####...#.#.....#.#.#.......#####.##..####.#.......#...#######..#......#.#####.###..#....##..####.##..#..##..#.##.#
.#..####....#.##.#..#..#......##.#...#..#...###..#.##.#.#.###......#####...####.######.#.#..###.#....#..#..###..#####.......##.....##.#.#..#...#.##.#......#..#.#.##.#.......#...##.##.###....##..###.#.###.#..#...............#...#.###.##..#...###..#.##.#..#.#..##.###.###..#####..#.######..#...####...##..#.###.....##.#.###.#.#####...###..####..##.....##....#.##.#.##.##.##.##.................#.#.#####....#.###.##..##.######...#.#...#########.#####..#.#..#.##.#####...##........##..##..##.#..######.##.#..#....#.#.##...#....#.....##...#.##........##.######...#.######.....#.##...#.##.###.#..##....#.##..#####.#..####...##..#######.#...#.#.#..##..##..##.#.#........#.#.#####.#..#...##.#....##...#...####..#.###.##..##.#.###.#..#.#..#.##.####..####.##.##.####..####.###....##...###..#.##..#....#####..###...##.##.######..#.#####.#..###.##..##...##..#.##.#..##.#..##..##..#...#...###.#.#....#.#..####.###...###.#..##...#..#.#....##.#...#.##.#..#...#.......#..#...##....####..##.##..###.##..##.#..#..##.#####.#######.##.##...#.#.#...#.##.#.##.#.####....##.##.##..#.##.####.#####...#.##..##..##.#####..#.#.##....##..#.....###...#...#....#.#.###..##....#.#.#.....#.....#...#..#.#####..#..#..####.##.####.##..##.##.######..#..###.###..#...##...###......#.#.###.#.....###...#..####.....##..#.###...####..#######.##..#.......##..#....#.##.#######....####.##.##.##..##.#.....#.##......#....##...######....#.##.##......#......###.##.#.....#.#......###.##.#.#...####.........##.##.#....#.##.#....#...#..#......#####..#.##.###........#..#..###...##.....###.#...#.#.....##...###.#.#..#.##..#.##...########...#...###.#.##..##....##...#.......#.#.#.##...#...#.....####.#..#..#.#.#....###.#.#.##.#..##.....#.#.############.##..#.#.##.#.#####.##..####.#....##..#......##..#.##....#..#.##.####.#.#...##.#.#..##.#.##....#.###.##..###...####......#####..#.#....##.#......##...#..#...##.#......#.#.#..##.#.#..##...#.#.#.#....###...#.#...##...#.##.#.##...#.....##.#...#.#..#..#..##.#.#.####.....#.......##.....###..##...##.#
..#.....#.#.####..#####..##.#.###..#.####.#.#..#.##.#.##..####.#####.########.##......###...##..#.##.#.####.#..#...##...####.#.#....#.##..#...##.#.#....#..##.#.###.......#.#.##.###.....####...##..#..#..#.#..##.#..####.#.##..#....#....#.##..#.#......##.####.####..#.####.##.#.....###..#####.####.#.#.##.#.#.##.#..#.##.#.###.#....#####..##.###..#.##.#.#..#...#...#.........#.##...###.##.###.##.###.##.#.####.#..###...#.#.##.#.#.######...##..#......#.##...#.#.##.###..#...###.##.#######.#.###..#.#######.###.##.#.##..#.###.##.#.#####.#...#.####.###..#.####......#.#....#....#.....##.##..#.####.#....#....#.#.####.######.###..#...#...#.#..#.#.##.#.######..#...###.###...#..##.#.#......##.###.#.####..#..#####.#.#.#.##..#..####..#.#.#..##.####.#######.#.#..#.##.######.#....#.####..####.#.###.#.....#..#.####.###...#..##..##..######.#..#..##..####.#.#.#...#.#..#.#####.###..#..#....#..#..#.##..##.#.#.#.#..####.#.#..#..#.#.#....##..#...##.##...#...##...##.##.#####.##.#.######.##...#..####.###..###########.##...###..#.#.#..#...####.#####.#.####..#..#.....#...##..#..###.#..##..#####.#..#.#..##.###.##....#..###...##...#.####....#.######.##..#.#.#.#.....#.#..#.##..#...###.#.....#.......#.#.##.##.###.##.#####....##.#..##.#....#.#..#.##..#..###...##...#.###..#####.#.#..##.#.#.#.#....#####...#####.#.#...#.##..#####.....#...#.######.###..#...##.###.####.#####..##..#.######..####.##..#.###.#..#....##.##..##.....#.#.#.....###.#..#..###.#.#.....#.###..#..##.#.....#.#..###.#..##..#.##..###.#...#.....##..##..##...#####.##.#.#...##..##.##..#.####..######.##..#..##.##.######...##..####.........#...#.#.#..##.#####.####.##....####...##..##..#....##.####.###..#..#.##......#....##...#..#.....#.###.#....#....#..##...#..#.##.##..#.####.##..###...#...####.###.###.##...##..#..##.##..##.#....###..##.##.#.#.#...#....#.##.##.#.##..####...#.#####.##.##.##..#.##.....####.##..####..##.##.#..##.##..#.#.##.#....#####.#.#.#.#.#.##.####.#.#...#.##.#.#.#...####...#.#.......##.#...##..##..##.##.#.####.#.##.#..#######.#
.#.#.#.##.#....#..#.####.##..#..#.####.#....#...#####.#.##.#.##.#.#...#..#.#....#######.####.#.###.#.#.....#######.###.###..#..#.###....####.####.#...##.##########....##..##.....##.#.##.#..##......#.##.###...#####.#.##....####.#.#.#.#######.#.#..#..#.....##.#.#...#.#.#.#....#####.#.#.#.###.#....#.##.#.#....######.#..###.###...##....######.#..#######.#.#########..#..#..#######.########..##......#...###..##.#..#...#..#...#..#..##..#.....###...#.##..#...##.##...#..#######..#.#......##.#.###.#.##..#..#.##.#...#.#.#.#.#........#....##.#.#..#...####...##.##....#...#..##..#.##...#####.#.#.####..##.######..#.####.###..#...###.####.##.....##.####..#.#.......#..###.#.#.....####....##.#..#...#.###...#.#..###..#.##..##..##..#.#..###.####..###.##...#..#.#....###..#...#...###.##.#.##.#.####.......###...#...#.#.##.#.#....#...#...##.####..#..###.##..#.###.#.##.##.###.##.#.#....#..#.##..##.#.#############.####..##..#.#.###.#.#.##.##..##.##.......#..######..#.#....#.#.##.##.#..##.#..##.#...#.#.#..##.#.#.....###....#...#..####.#.##...#..#.#...#.########.#..##.#..#.###.####....#.....#.##.##.##.##.####...###.#.###..#.####.##.#.##.#...#.##....##..........#.#..#####...#.#....#.#..##..#.#..##...#..####.#.#.#####.#.##..#.#######..##.##.....#...##.#.#.##..#####.#.##..##.#..#.#.#.#.##..###.#.##.##.#.##.#...#.##.....#..####.#.#.###..#.....##..#..###.#..######..##.#.#..#..#...##.#....#..##...###...#####.####....##.#.##.######.#.....#.##.#.###..#..#.#..##..###.######.##.####....##.#.##.##..#####.##.....##.##.#.##.#.#.#..##.#..#.######...#.##....###.#...#####.#.....##.##.##...###.....###........####.#.#.#..##..###.#.######..###..##...##...#.#.#..#..##.#...#....#.#..#.......####..#.###...#.##....###..#..##.##..#.#..####.##..##.#.##.##.#.#######.#.....#.....##.#..##..######.#.##########....#..###..###.#.....#.#..#...##.#.##.#####..#.##.#..##..#.#.###.#.##...###...#....##.#.....###..###..#.....##.#..#####.#.#..#.###...###..#...#######.##.#.#....##.##..##.......#.#...#.#.#..###.#.########.#.#..#.#.##
.###.#.##.#..##...###.#.##..##..##.....#.##..##......#...####.#.#.##..########.#.#..#.######...##.....####..#..######.#..##.###.#.##.####.....###...###..#.##..#.#..##.##......#.#.##..#.#..####..#..##..#.##....#.##.....#..#.####.#...##....##.###.#..####..###...#...###..#.##....#....#####.##.#...#.#...##..#.....#..##...##.#####.##.###...#..#..##.....##.#.##.#.#...##.#.....#.##.#.##.##..##..#.##.......#..#####...#.#...##..#.##..#......#.#.#...###..#...#########.#....#.#####...#.##..##..##......#.######.####.#......##.#.#..#..#..#....#.##....#..#.#.#..#..#.##.#...###....#....###....#.###...#....#..#....#..#...#.#.#.##.#.#.#####.#.#...#.......#.#.#...#####.######..#####.#...#.#...###.#.#########..#..###...####.#....##....#..#......#..###.##.##.###....###..#...#####.#.#..#.#..#.#.#.#.#.#.#.##.#..##...##.#..###.#.#...#####.##.#.#.....#...##.##.##....##.....#..##....##.####...##.....###.###...###...#.#.##.##...##..#....#.#..##..#..#...##.#####..#.......##.#....##.##..#.#...#.#......####..##.###.###.###...###......###.#..#..#...#..#..##.##.#.....#..##...#.##.#...##..##.##.###.#..#..##.#.##..##..###.###..##..#.#.#.#.#...####...#.#...#....######.##.######..#..#.#...###.#......#..#...##.###..###.....#...##.###...#.##.#.##.####.##..###...##########.#.#..#.#..##...#..##..#...##..####..###.#...###.#..#.##..##.###....#..#.#.#..###..###..##.##..####..##..###.#...##..###..##.#..###.###...##.#.##.#.##.##.....##.##.#####..........###.#.##.##...#..###..#..#..#.#..#.#####..#...#...##...#...#.####.####.#####..#..#.#........#..#.#....###..##..#..#..#.####.####.#...###..###....#####.#.#.#..#...#...##....##.######...#.#..#.##.....####..##.#..........#.###.#..####.##.#.###.###.#.##..###...#.##..#..#..#.###.#..###...##.##..###..#..###..#..###......##.###.#........##.#....##.###...##.#...#......#.##.....##.#...#..###.########..#.#.##.###....#.#..#.##.##..##.#....###....#.###.####.#...#.....#..#####...##.....##.#.#...#..#....#...#####.###...##.#..#.#..#...#.##.#.##.##.###...#...#..##..#...###..#
#.........#..#.#..###.#.#.....###.#.#..#..##..#.##.######..####.....#####..##..##.............#...##....#...#....#.......###.#.##.#.#....###....######.#....####..##.#..#####.##.#.##...#.#.###.#...#....##.#.##.#....####.####........#..#####..#.#.###.####...#..#....#.#.......##..####..#.#..##....##.###.#.####.###.###.#.........##..#.###....#.###..###.#.#...##.#..#....####..#....##....#...#...##...###.##..##..#.###....#.###.###..##.##.##.#.#.#...#..#.#.##..#####.#.#.####....###.####.......##.######.##...#..##..#.#.#.#..#..#.#...######.#.#.##.###..###...#.##..###.#...#.#..##.#...#.#...##.###..#....#.####.#.#.#.#.#.#.#.#....###.#.###.#....#.....##..##.#..#.#....#.#.#.#.####.#...######.#.##...#.#.###..##..####.####.#...#..######.#.#.####..###.#....#..###..#######....#.#.#.#.#.##.##..#...#.###########.#.####..#.#..#.###..#....##..####.#.#.##...##...#####........#...##..#.#..###.##...#.#.#..##..##......#.#.#.##...#.###..###..##.########.#.##..#.#....#.#.#####.#.#..###....#...#...#....#####....#....##.#.##..###..###..#.##.###.########...#.##...####.#.#.#..###.##..######.#.###.#....#####.#...#.#..###..#.......#....####.#.#.###..##.#.#.###....####.#.##.#.##...#.#####.#....##.#.#.##.#.###....##..####.##.#.#.##.#####.#.#.......#...###.###...##...###.#.#...#.......#...###.##.#.....#.###.....##.....#..#####....#.###.##..#..#....########.###.###.#..#.#.....#.#.#.#....#.#.##...#.##.#..##..###..#.###..##..##..#####.##.####..#.#.#..#.....#...##.#####..#.#.........###...##..#...###...##..###..##..#######.##...##.#.###...#.##......#.##..###.#.####..#.#.##..##.#..###...#..#..##.#.#.#.##..##...#.#####.#.###.##..#.##..#.##.....#..##.##..##.#####.###.###.######.#.#..#...##..##...##..#.##.###..#..##.....##.##..#.#####.....#.#.###.#.....#....####.##.......##...#..#..##..#...##.#.##..##.#.#.###..#.......#.##..##.#....#..##.###..###.###..###...###.#.#...#.##.####.##.#.##.#.###.#.#......#.#.#....#.#....#.##.......##.#...#....##.....#.#.####..#.##.#....##...##..##.##.....###..##..##.##.#....#...#
#....##..##....##....##.####.##....####.#.#....#....##..##...##.#..##.####.#....##..###.........##...####....#.#.#.#.#####...###.#..#..##.#..#..#.......##.#####.####..#.##.###..#....#......######.##..#.##..#.####...#.....#....#..######.##.#####.###.#.#..#.#.#.#..##..##########...###.#.#.#.###.#..##..###..#.#.#.#.#..#.#.#.#..#######.....#.##..#...#..##....#...##...#...###.##...####..#..#.#.#.#..#.....#....##....#.###..##.##.#.##..####..####.#..#.#...#..#.#.##...######.#.##...##.##.#....#.#.#....##.#...##.##...###.#..#.###..#....##...#...##..##.#.##.#.##..#.#.#.#..##.##.####.#.####..##.##..##########.....#..##.##...#...#.##.#####.##.####.#..###.##..#..###...############..#..######......####.#...####.#.######..##.#....#......###.#..#...#.##.#..##.....###.####.###.........##.#.###.#####.#..#....###.##.###.#####..###.#..#.#..#.##.#.#..##.......#.#.#..##.######.#.#...##.###..##.#.##..#...#...#######.#...#####.........#.#.##...##.#.####..#......##.#......##.#.#.#.#..####..###..##..###..##.###...###.##.#####...###......###.##..#.##.###.##.#...#.####..##....####.#..###...#.#.#..##......##..#...#.##...#...####.###.#...###.....##.#.#...#..##########..#...##..##.###.#...###..######..#...##...##..#.#..##..#...##..#..##.#..#.#..##.##..#######..##...###..##.###......#.#.#.#.###.#......##..##..#####..#..#...##.###.###..####.#..##.....###..####....#.#.###....#.#...####.#..####.....##...#..#.###..###.###.#####...##.#.#.#..#.#.##.#......#.#..#.###....#.#.###...####.#...#..##.....#..#..##..####...#.##..#.#..#####....#....#....###.#..###.#.###..#.#..###.#.#.######..###..#.##.#.#.##.#.#.##.#...###..#.#.#..#..####........#.#####.##...#.#######.......##.###.#..###.#..###...#.##...#..#....#.##..#..##.....##..##.#####.##.####....#..#...#.....#.##....#...##...#..##.####.#..#....##...##.#..#...#..##..##.##..##.###..##...###.##..###........##.#....#.#..#.....#.#..###.#####...####...###..##.#..####...#.#.#.....#####......#.#......###..####...###.##.#.###...##....##..#.####...#.###....#.#...#####
.#####.#....#.#.....#.#.....##.#.....#..#..###.......#...#.##...#....#..###.#..########..#..######..#####.#.#.#.#........##....#..#.##.######..#..###.#.##.#.#.#..###.####..##....##.####.##.##.###..##..#####...##....##....###....#..####.#..##.##.##...###...##...###.....###...#....#...####..###.#....#..######.#.#.###.#######........##..#....###.#.########...#..#..###.#....#.#.###..##.##.##.#....##..#.#..###.#...#...####.#.#.##.#.#..##.####.#......####..####.#...##..#..##.#....##.#....#......######.##.##...#.###..#..###......##..###..###.#.##########.##..###.###..##.#...#.##..#.#..#..#..#......#.######..#...##.#...#.##..##..###.######.##.#.##.####....#.#.###.##.###.#####..##..##.##.#.....##..#.####.##...#.#.###..#.#...#####..#....#..#...##.##....###....##.##.#..##.#...##....###..##.#...###..##.#..#.####...####.##.###.#####....###.##.###.#.#.#..##.#...###.#.#.....#.#####....#..#.....#..#..#.#####.#.#.#....##..#.#.......####.#..##.#..##.####......##.....##.###.##.#.#####.#.###...#.###..##...#....##.....#.####.#....#######.#.#..##..#......#.##.##...#.###.#.##...#....#....##......#.###..##.###.#.####....##.###.##.#....#.#..#.##.##.#..#..##..#..#....####.#..##.##.#.##.###..#...#.#.##..##..#...####....##...##..##....##....#...#..##..##.....#.###.##.#.#..####.#.##..##...#######.#.######..#..###..#..#..#..#########..#..#.#.#..#..#...#.####..###.##.#.....#...##.##..##.###.#..#..#.#..###...##.######.##.#...#.....#.##..#.#....###...#...#.#.##.#...###.##.##.#.##.#.#.#.##...##..#.##..#...#.###.#..#.....#.###.#.#.#.#..###..#.#.#..##.###..#.#.###..##.####....###.#.######.#.###..##.##.#.......#..###.##...........######..###.##...####...####..#.###.##.#.##.#..#..#.#.##.#.#...##.#.##....##.###.#####.##.....##.#.#.##..###..##.##.##.######.......####...##...####..#..#####.#.#.##.##.#.#..##....#.###..##.##.####.#.#.###...#.#...#..#.###.#..#..###.#..#.######...####..#..##.#...####.#..##..###.###.#.##..####..###.##.#.#..#....###...######.#.....##..#####.######..#.##.#####...#...#.#.##.###.#.
##.###.##.##...#.####....##.#.#.###..###..#####.##......##.###..##..#.#.##.######.##.#.#.####.####.#.##.#######.####.##.............####.##...#..##.#.#.#.....#.#...####.######.#...##.####...###..#..#..#####..##.##....#.##.....#########.##...#.#.###.....#.#..###..#########.###.##...#..#######..###..##.#.#...####.##.###..##.#####.#####..##.##...##...####.#..###.#...#.#.#.#..#..###..##..##.#.#..#.#.#..#...###..#...#..##.#...#.###..#..###.#..#.####.#####..#.###.####.##..........####.#.##....####.#...##..#..###.##...#.#.#....######.####..#..##.##.##.####..##....####....#...##.#.#.####.#....#.###....##.....#####....###.#.##.#.#.#######.#..#.#..#####....#.###..#.#.##.##..##..#.#..#.###.##...##..#..####.#..#..#.#.#.##....#####....###..###.#.#..#.#.#.######.#.#.##..#...##.###.#.##.......#...#######...#.#.#.#..##....###.##.#..##..#.#......#####..##.#....##...#......#..#..###.######..............###.##...#.#.##..#.#....#...##..#..####.####...#.##....####...#####.##.#.#.#..#####.....###..###.####.###.#.#.#..###.###.#.#....#.##...###...##.#.#.#.........##..#..#..##.###.###...#.#.#####.#.####.#.#.##.#.#.#.#......#.#.#.##.##.###..##.##...#.#####..#.....#.#...##.#..####.......#.#.##........##.##.#.#.....#...#.#.#..#..#.#.....#.###.....#####.#.....###...##.#.####.#.##.#.#.#..#....##..#....###.###..##..#.#....##.#..##.###...#...####..##.####.##..#...#..##.##...##.#.........#.####.##...#.#.##..#....#.###.#.#........#.##...####.....###.###.##...#####.#####.#..##.##..##.##.........#.###...##...#..##..###.#####............####..#...#..#.###.###....####..##.#..##.#.#..###....#####.#...#.#.......#.#.#...###..###.#...###..###..#.####....#####..###..#.#..######.##.##.#......####..##..#..#..#.#....####..###....##...####.##.##.#...#.#.....#.#.....#####.......#.##.....####...##..#.###....##.#.###...####.###..#.#..###.###..#..#.......##.....#.....#.###.###..####..##....#.#...#.#.#....#######.#....#....###..#......##.#.##..#.#.#..#.##.##....##..###.####..#........###..#.##..###.##.###.###..####..
....####.#...#######..##.##....##...#......####..#......#..#...##..##.###..#####.#...##...#....#..##.###.#.##....#...####.#...#.##.#..#.###..###.####...##...##..#.#.#.....#..#.#..#.##.#.#.#####.#...#.#..#..#.#.####..##.#########..#######.#.##.##....##....##...#....#.#.#.#.##.#.#.#.#.#.####.##..#..#.######.###.#.......#.#..#.#.##..###.##.##.####..#......#####..#..##..#.##...#.##...#######.....#.#.##....##.#..###.#.#..#.###..###.##..###.##.##...#.#..#.#......#...##.######.#....#..#..#####.....#.###..##...##..###..##.####......#..###.##.##....#..###..#.##..#..##.##..##.#..#.####..#.####..##.##...##...####...#....#..##..#.##..#..#.#.##..##.##..#...###.#.....#.#...#.###.####.##...#.#.##..#####..###...##.###....##.##.#...#...#..###..#######.....#.###..#..#..#.##.#####..#.#..##.##..#....#....#.#...###.##.##...#.##.#...##.###.##.#..###.#.#.##.####....#.....##..#...#...#..#.#..#.#.##.#......#.....####..######......#....##.#....#.####.#.#.....###...##...#.##.####.#....####....#####.#....##.####.#.##.##.####.##.##.#####.#.###.####.####.....##.#......#....#.####.#.###..#....#...#...#.#..#######.##.#.#.#########..#..##..###..####....######.##.#.####.....###.#.########..#..#####..#.##....##.....####.##....#....###..#...#.##...#.#####.....######.#.###..#..######.#...##..##..########.##.###.##.##.###.###...#.###..#.##..#....##.###.##...#.#..###.#.###..######.#.#.##.####......####..##..#.#.#.####.##.#...##..#.#.##..#..#..#..##..#..#.###.#.#.###.#.#....#....###.##.#..#...##..#..##.#.##...###..###.#.#.###..#..##.....#.#.##..#...#.###.##..#..##.#.#.##.#..##..##...###.###.#.###.....###.####.##.#..##.#..#.....##.##.#..##..##......######..####.####.###..##..#.#.#...##.###.#..####..##...###.#..###.#.#.#....#.##..#.#.#..#..####..#.#.#.#..####.##.####..#...###.#.##..#.#######.###...##.......##.#.....##.###.......######.#..#.#.#....#.##.##....##..#..#.....###..##..###..#####..#.#..####..###....#.#.#..#....#.#.#..###.##.....##....#..#....#..#.....##.##.##...#.###..#.##..##..#..##.##....#####..
..##.#.#.....##.#....#...#.#####.##....#.#####.###.#.#...#.#...#..##....##.#.####..##..###.##.#..#...#####..###.#.#..#.#..#.#.###.#..##..#..####.####..#..#.....#.##..##..#....#..#...##..###...#.#.#####.###.####....##.#.#.####.#......###.#..###.#.#..##.#..##.#..##..#....####...##.#.....#.##..##..#..#..#######..###.#.##.#...##...#.###..#####.##..####.#.#...........###.###.#.#.#...#.#..#..####.###.###.#.#.#..#.##.##..#...#.##.###.#....##.#..#.##.###..#####...###...#.#.#.##...###..##.#.#......#.##.#.#..#.#.##.#.#..#.#.#....#.#.....##..##....###..###...##..#.#.##.#......#.#....#...##..#.###.#.###.#.#####.#.##...##.##########..#####.....##.#...###.#.#.....##.#.#..#..##.....###......##.#.##.#..##....###..#.#######.....##....####...#####...#####...#.#..#.#.####..#...#....#..##...##..#.#...##.#...###.#.##.#..#...#.#..#.#.#####.#..###..#...#.#..##..##..##....###.##....#.......#.#..#..#..##...######..####.#.#..#....#.##..##.#####.#..#...#..##.##.##...####..###.#..#..###.######.#...####.#.#.##..#.##.##.##..#..##.#..#####....###...###.#####..###.###.#.##.###.##...#....##.....####.#.#.###...###..##...####.#..#.##.#....#..#....#.#..##....#......#.##.#####.##..#..#.#.###.#.##.###...###.....##..##.#.#...##....#....##.........##.##.#......##...#.######..#.##..#..##...#.#...####...###.........#.####..###.##..##..#.....#..##...##......##...###...##.###...###..#.#.#.##..##.##...####..#.#.###....##.#...#..#..##....#.####..#...##.#..##.##......##.#.##...#.......####..#...#....#..#........##.###.######..##.#.##.#.#.#...#.#...#..#...##.#.##..###.#.#.########...#.###..####...##...##......#.#.##..###.###.#.....#......#####...###.##....##..#.##..##.#.##.#..#.###..#..#..#..###.#..###..#.####.##...#.##.#......#.#.#...#.....#######.####.#..#..###.####..###...#...###.##..##.#.###.#.#.#.#..#..#.#.##.####.#......##.#...##...#..##..###..#.....#..........#..#.###.##.#.#.#.#.#.####..#.#...#.......#....####.....#..##..#.##.###.#####...#.#.#..#...#.##..#.#.#..#####..##.#....#..#...##.#.####...#####......
#.#.##.....###.#....##.##.#.##.####..###.###...#...#.#......###..##.#..##..####.#.##.#.##..######...#.##...#.#.#.#.##...#....#.#...#...#######.#.#.#..###.###..#.......#..#####.####..##..#...######.###.....#####....##.#.###.#.##.######...##..###..##.#.#######.##.#####...#.........##..#...##.##..#.#..#....#.##....##........#....##.###.###.#.##...#.##.#.##..#.##..#.#...#.#.....####.#####.#..##..##.#.##..##....##...#.####....#.##.####.#...##..##.#.#.####.####.##...#..#####.##..###...##..###.#.#.#.#..####...##..#..###..##..##.#...#.####..##......##.####...#...#..#...##.#.#..##.#.######.####...#...##....#.##.#.#.####....######.###..#.#.....##..##....#..#.####..#####..#.#..###.####.#.#.#...##.....##...#.##...#.#.#.....##....##.#.###.###.#.##..#.##.#..#.#.####..#.##.#...#.###.##.#.#...##.##....#.##..###...###.##.#####..###........#..#.#..#.#.####....##..###.#...##.#.####.#...###..#.###...###..###.##....##.###.....##...#.#..#..######.#.##.###.#.#.#.#..#.##....#.#.#....#.###.##..#..#......####....#.#.##.##.##..##..###..##..#.#.####...#.#....#.###.#####.#..#...#...##..##.###.#...#.#.#.##..####.#####...##.##.#.#.####..#.##.#..#...##.#.####.#.###.#.#....#..#....##..##....##.#.......###.#....###.#........#..#..##.#.#..#..###.#..#.#......#...###.##.#.###..####.###..##.#####.###.#####.##...##....##.#..##.#......###..#.##..##..##.#.....##.#####..#.##...###...#..#.#.###.#.##.#..##...##..#..##.#..#.#....####.#..#.#..####.##....#.##.###......#.##.#.#.#.#####.###.....#.#.#.#####......########..#.##.#.#.#.##...#..######.##.#..#..#.#..#...#####..#####.....#..#..###.#...##..#.#..##..#...###..##...##.#.#.##.##.###...##.#.#####..#...#.#.###.#...##.#..##.#............#.##.......##..#..#.#..#..#.#.########.##.###..#....##....#.#.#.#.###.####..#.....#.##....#..##....##..###..#......##..###....#..#....##.###.###.###...#..#..#...###.#...#.##....####.##.#...#.#..#...#..#.##.###.##.##.#.#..####..#..##...###...###.##..#..#.#.##..#..#....#..#.......#.##.#.##.##.##.##......###.#.#..##.##.....##....#.#
##.#..#.###.#.#...#..##.##..#...###..#..#.#..#.#.#.###.##...#.####.#.###.#.##.#...#....#..###..#...##..#.#...#.###.###.#.#..##..#.##.##.#.####....##.#.###.#.....###..#.#.#.##..##.####...#.......###.#..###...###....##.#..###.##.######..##.....#..####.#..###..#.....#.###.....##.###.#..##..#.#.#..#.#.#..#.#.##.....#.#..#..#.#..#.###..##....#...###....##...#.##...####.#.##.#.....#.###..#####..#####.##.#..#.###......##.#....##....#.#...#####.####......##.#.....#.##.#.#.#####.#......#..##...........#.##..#.#.#####........#.#####..####.####.##.......###.####.#..#....#.##.#.###.#.#..#.##.##.###...##.##.##..#.###..#..#####.#.##..##.#..###...#####....#.###.##...#...#.#.#..##.#.#.#.#.#...#....###.....##...#.#..#...##..##.###.#.#.#.#....####..###.....#.##....###.#......#....###.....#..#......######.##...##.##....#....#.##...#.##..##.#....#####.######...#.#....#.#.##...###.#..#.#.####.##....###.####..##.#.##.#......##.#..##.#.###..##....#.#.#..##.######.#.##...####..####...##....###.#.#.#####.##..###..##.##.#.#.....#...###.##.#....#...######.......###....#....#####.#....##.###...######..#.#.#.#.#####.##.#.##.......#.#.#.#.#.###.##.###...#...####.##...#.#...#...#..######..##.#....###..#.......#....#.##..###...##...#.#...##...#.##..#########.#.###.##..#.###...###.##.##.#....#..##.##.##.####.####.####......#...#.#.#.#####.....#.######.######.#...#####.###...##...#..#.#...##..######....#...#...#...###...#.#.#.#..##.#..#..###.######...####.###....####.#.##...#.#.########..#.#.#..####..#.#..##..#####.#.##.##.###...##...#....#.###.#.##.#####......##.#.##.#.#.#.#..#...######.#####.##.#.######.#.#.#.##.#.#####..#....#.#.########..##.#.#...#.###.....##..##.#.#.#.#.#.#.#######.#####..##....#..###.##..#.#.#####....#.###..#..#....#..##.#.###....##...##..##########.#.#.#.#.#..#.#.#.#########...####..#.....##..#####.##.#..#..#.....#.##...#..##.##....#.#.#.#.##.#...#.#.##....#####..#.#...##.......#.#..###.#.##.##..######.#...#.....##.......#.#...#...#.#.##.#######.#.#....###.......#..##.#...###
.#.#..#.###..###.###.....#..###...#..#.##..##...#...##..#.#...#.#...#..#..##.#.#####....#..###..##.#####.##.####.#.#.#..#...##.#...#####.#.######.#.#.##..#.#######.###.#........#.##.##...##.####...####.#.#...#...###.#####..#####..#.##.....#.#.....###..#.#.###..##.#.##.#.##.###.#..#....#.#..####..##.###....#####...#.#.#.##.#.##.########..#.#.##.####.#.###..#######....##..##..###.##.##..##..##...##..#.##..##...#.#.##....#....#####...##.##..#...###.#..##..#..########....#.........##..#....#....#..###.#....#.#.####......###..#.....#...###..##......#..#..##.###..##.#.######.##..##.......###.#.###.#....#..#...##.#..#.#.##.##..###..##..#..###.#..##.#..##..###...###.#..#.##..#####....##..#.#.##.#####.##..#..#..#...#....#..##.####...#.#..##..#..###.#....##..###...#.#.##.##...#..###..###.##...#.#...#..########.##.#..#.##...#.#.....#..##...###..##.######.###.###..###.######.##..#.###..#..#.#.#...#...#.###.##...#....#.....#...####.#.#..#...#..#..####.##...#####.###.##.#..#...#.....##......####.#.###..##.#.##..#.###.#.#...#......#..#.....###.###.########.####....#.#.###.##..##.#.#..##.#.##....#...#.#.##.##.#.#.##...#...##.#...#.#.#..#..###..#..###..#..##.#.#.##..#...####...###.##.#...#..####.....#...#######..#..##..#.#.#.#...##.####.###..#..#.#.######.......#.#..#...#.####.#.......#####..#....####..#.#...#....##.#..####.#..#.####.#######......########..#.#..##.#.#...#....###....#..#.##...##.#.####..#.###..###.#..##...#######.#..#.###......##.#.#......#...#...##....#.#####.###..#....#..####...##.#.##.##.....##..##.##.#.#.##.#....#.#....####...#.#.###..##..#.###..#.#.#.#....#.#.....#.####.###.#......#...#.##.#.####.###...#..#..######..#...########.#..#.##..##...#..#..#.##....#.....#.##.##...####...##...##.#.###....#..#.#.#####...#..#.#####...##..##.#..###.#.#.#...###.###.#####.#...#..#..#.....#.#..#..####...#..#.#...#..#.##.###.#........#.#..##..##..#.#.....#......##..#.##.#..#.##..###.###.###.##....###.#.#.##......##.##...#...#.###..#..#.#.#..##..###.#....#.##.#####..#.###....##.
.#######.##..####.#.##..##.###.#..#.#...##.###.#..#..#...#####.....#.#..##.##....##...##..###..####.#.###....#..#..######.####.#######.##.#..###.#....#.###.#...#.#..######.###...#.#..#.#...##########.#..#.#....#.##..#...#...#..#####.##..#.##...#..##.#...#####.####.##.#...##.#....#.###..#.#.....#.###.#..###..#####.###.#..##...##.#.######.#.##.###.#..#.##..###.##....#.##..#.#..###..#.##..#.####.##.....#.......###....#....#..######...##.#...#.##..####.##.#.##...#.##..#..#####....#...###.##..##..#..#..##...#####.......##.#..#.#.#..###..#....##..#.##.####.......#.#.#####.##.##....##....##...#.####..#...#..####.#...#..#.....##..#..#......#..#.##....#.#.#...###..#..###..#...#.#.....###....##..#######.#.####.#..#..#..##.#..#.....#.###.####..##.#...#.##.##.##..###..#.#..##.##...#..#..##....#.###.#..#....#...#.#.###.#....#.#.#.#.##..#.##.....###.##..#.#..#..#.###..#..##.######.#..#....##.#######.###.###...##.#.#.#.##.#.##.###.#.##..##...#......##.#..#.##.###...##.##.#...###....#####.####..###.#...####.##...#....#.#.####.#........#.#.###.#..#..####..#.##.....###.#.##........#..#..#....#.......#..#..#..#....#..#....####.###..##.#.######.####.#..##..#####.#...##.#####.##.....##....#####..###.#####.#..#..###.#..##..#.#.#.....#.....#..####.....#...#..#..#####.########....#.####.#.###.##...##...#.#.##.#.....#.#....#....##....####....##.#...##..####.#.#...#..###.#..#..#.####.#.########.......###..##.#####.......##.#.##..#.#.##..#.#.#######....##.#..###..#######..########.###...#.#.#####...........#..##.###.##......#.#.#.#.#...###.####.#.###.....#.####.####..#.##.###..######....###.#....#.#.##....##......#..###.#..#.#.........#...#...#..######.#..#.##.#.#.###..###..##..##..#.#.###.###..##.#...#.#.#.#.####..#######.####.###.......###....###...###.#.#...#.#......#.....#...#.#...##...##...#.#.#.##..####..#...#.#..###.##.#..#.#.##.#..#........##.#...####..#.#....#.##.####..##....#...##..###.#.....##...#.....#####.##.#..##.#.#.#.#....#.#....#######.#..#.#..##.##.#.##..#.##...#...#...#.#..
###.####.##.#.#..#......##.##.#.#....#.#.#...#.##..#..##.#.#.####...#....##...##.###.#..#.#..#..####.##.###..#.#.#.#.##.#...###.##.###.###..#####.#####.##..#..#..#.......#..#.##..#..##...#.#..###.####.##.#...#..#....##..#..#####.#....##.#...#.#.#.#.##...#.##......#..#.#.###..#..#...#.##.#.....#########.##...#..#.##..####.#.##.#.#####....####..#.#.#.#...###.##...###.#.#........#..#...#...########..##..##..#..###..####.##......#.##.##....#..##.##..#.##..#...##.####.##...##.####.#.#.#####.#.##.##..#...#...#.###...##.####.#.######.##..#.####.#....#.##.####.##...#..##...#.#..#####...#..###..#..#....##.##...##..#...#..#..#.##.###.#.#.#.#####.......#...##..#.#....#.#.##.###.#.##.##......#.#.##....###....#.#.#####..#.##.####.##......#....###.#.###..##.##.#.##..#.#.#.######.##..#####..#.#.##...#.##.........#.....######..##.......##....###..#.#..##.#.#..##..#..###..######.#.##..##.#....######.##..........#..##...#......##.####..#.##.#..##.#..##.###.##..#..##.#.#....#.##...##.#.#####...####..###.#.##.##.#..#.#....#....#..#....##...####...##..#######..#.#.#########..##.#.#####.#.#.####.######.###.###.#.####....#...##...#.##.##...#.###..#######..#######..###.###..##.#..#.#......#..##.##..#.###.#...##.#.#...#.###.#.#.#..#..#..#.#...#.###.#.#..##..##.##.#.#.#...#....###.#.###.#.##..##..##..##....#...##.####..###.###......#..#.##.#..#..#.####.###.##.#####..####..#.....##..#......##...##....##.###.#.###.##..##..#.#.###...#.#..####.##.#....#...##..##..######........#..#####.###..###..###.#...##...#.##.#..##..####.#.##.####....#.....###.##....#..#.######.##.###.#.#.#.#...####..##.#.#...#########.####....####..#..##.#.#.....#.####..###..##....##..#..###.#####.#.####.#####...###.##..######.#.#..#.##..##..#..#..####..#...###.#.#...##.#.##....#..#.##.#.#.##...#.#.###..#..##....##...#..##.#.#....##.######..####.##....#..##..#.....#..##...#..###..##.##########...#.##.....#.#.#..#.##.#.#..####..#.#..######.#####...#..#.#...#..##.#.###.#....######.###..#.####.###.#..##.#..#.###.....##..##..#.
#...####.######.##..###.#####..#.###....#.#.#..###..####.##.#..####.....#####..##..#.######.#.##.##.###....####.###.##..##.#...##..##########.#.##.#.#..#.##.##..#...#..###....#..#...##..#.#..##.####....#...#.##.#.#..#...#.###.#.#..#..###.###.#.##.....#.#.###.##.##..###.#.###.########..#.#.......#....####.#####....##..........#.#..#.#####..##...##......#.#.#..#...###.#.#.##.#...##....#.##...#..##.##..##..#..#....#.#.#.....###.####..#####..##.###...##.###.#..##....#.#######.##.##.#..####.#.###.##..###...#.##..#.#..#.##.###.#..#...#.....#...#.#.#.##....#....#.#.....######..#.###...#.##.##.####.#..###.#.#.#####....##..#.####..##..#.####.##....####...####.#...##.#......###...#####...###..###.####..##..#...#....#..#.#.##.#.#..##..#..#..#..#..#####..######..#.#.#..#.#.#.#..#..#.######...###.....#####...#..#.##...####..##.#....########..#.##..##.####..#.###.#.##.##....##.######....#...######...####..##....##..#########.#.......#.###.#.#......#...#..#.###....##..#...#.##....###.##..##.###.##..##.#...##.#...#.#..###.#...#.....#####.##.#..#....#.##..#.#..#.#.#...#..##..#.##...##..##.#..##.##.#....##.######...##.####..#.#.#..##...####..#.#..##..#.....#.......#...#..##..######..#......#.....####.#...#..#.#.######...####..#.#..#...##..##......##.#..#....#.#...##....###....#..#..#..##.##.#..#####...#....###....#.....####.#.#####.....#.#.##...#.##.#..#...#..###..######.#.##.##.##.#.######.#..#..####.##.###...##.....##.#..#...###.#.#..#.#.#..###.##.#.#....###.###..#..#..##.#..###.#####.##.#.########.#...#...##.#.##.#.#.#.##..#.##...#...#######.......##..#########..##..#####.#.#..#.###..#..######...###...####..###.##...###.##..#.##...####...####.##..##.#.#.####......###.#..##.#...#...##.#.#....####.##...#....#.###.#.....##..#.#...#..#.....###.###.#..#..########..##..#..##.##..#.###..##.##.##...##########.########.##.#.##.###...##.#...#####..##.####.#.###.#####..#######.#..##.#...#.#.#..#....###..#.###...#...#.###.##..#.#..####.######.##..#..#.###.#..####.#.#.#.#.##.#.####..##.#..#.#.
#....#.####.#...#.##..#..##.##...###...##..#.#..##..#.##.####..##....#....#.#.##.##.#....##.#.#..##.##.###.###.###....#..##.####.#......###...#....#......#.#.######....####..#.##.###.#.###.#.#.#.###.###.#...#.#......#.###..####......####....####..#...##...#####.##.###...##.###..#..####..#.#.....#...###.....##.#.##.##..#..#.#..##.##########...##..####..#.###...#..#.##.###..#####.#.#...#..##.#...#........#.#.....##.##......#..###..###........####..##..###.###..###.##.#.#.#...#..##..#.....#.#...........#.#.#....#.....##...##....###.#.#.#.###......#.###.##.#.......###.#.#..####.##.#.##...##..####.#.##.....####..#.....#....##..###.##...#.##.###.#.#######.##.###..#....##.##..#####..###..#...#.....#.###.#..##.##...##.#.#.#..#....#....#.##.##.##.##.##.#..#.#..#.......#..#..#.######..#..###.#.#.##.#.#.....####......#.#.##..#.#.###.#..#####..####..##..####.#...#.##.###.#.###..#..##....###...#.....#...###.#....##.##.###.###.##..###.###.....###.####..#.######....#####.#..##.##..#.#.#.##.##.....##..#.#...#.#..#..#....######...#...#####..#.##.#.#...#####....####..#.#..##..####.##...##.#.##...#....#.#.##.########.##.#.#...#.#.##..###...#..##...##..#.##.##..###....#..##.##.....####.##.##########.#..###..##.##..##.#.##.#....#..#.#.#...####...##...##.#.#.#.#.#.#..#....###.####.###..#.###.....#######.#####.#.##..#.##...#.##.#####.##..#######.#####.#..####...##.#...###...###..##...##...###..#...#.#...#...#....###......##.#..#..##.#.#.###...##.....##.###.##.#########..##.##.####..#....###..##.##..#.#.#.####....##..##.##.##.#.###...#.#.###.#.##..#.####..#.#.#...##...###.....##...###...###.##..#.##...#.#.#.#.#...#.#.#..###.####.#..###..####.#..###.###..#...###.#.#..####....#..#.#.....#..#.....#.#..####.#..###...##.###..######..######.#..#.##.....#.#..####..##..#.#.#..##..########..#.#.##..##.##.#.#.######..#.....#...#...#.#.##.##..#.##....#.#...#..###....##.###..#.####..#..#..#####...##.#..#.###.#####.#.##....##..#.#..#########.##....#..#....#.##....##.#.#.##.#..#..#..#.##.....#.........#
####..##.#.#.#...##...##....##..#..#.##.###.#..##...#...###.###########..####..####....#.##..##.#.#..##.#.#.#.####...#.#####.########.##..#...#.##..##..#..#.##.#.###.##..###..#..##.#..####...########.###...........#.##.....#.####...######.###....#.####.#.##.##.###..###.###..#.#.##.#.#..#.##..#.#..#.#.###..#..#########..##..#....####.#.#..#...#..#.#.#..###.#.######..#...#..###..####...##..#.##........#..#.###.#.#....######.#..#..###..##..#.##.#..#...########.###......#...##....#...##...##.##.##...##.#.##.##.#...#.#.##.#...#.#.#.#.###..##.#..#...####..##..####.#.#...#.######.###.##..#..#..#######..##...####.#######.....##..#.#.#.##.......#...#########.#.#...#.#.#...##...#....#.#####....#...#.....#..##.#.#..#.#.###..#.#.##.#.##.#..#.#...#..##..####.###.#.######.#.#.###..#..##.....#.#......##...##..#.#......#.#..###..#.##..#.#...##.....###..#..#.#....#...#.####.#.###.#.##.#..##...###.#.#.....###########.#..##.....#...####..#....#.##.#..#.#####..#..##...##..##...#.###..#.#...####.#..#..#.#.#..#.##.#...####.####.##...#...##..#.##.#.###....#.######..#...###.#..#.#.#.##.#.######.####.#..#..#######.###..#.##.##.......#.###.#..###.#.#....#######..#..##........##.#..##########.#..##.......#.#.##.#.#..##..#...###..#...#....###..##.#.#######.#.#.###..#..#####..######....###.#.##.######.##.....##..##...#.....#..#...#...#####.###.#.##.......##.#.#..#...##..##....#.######.##..#..#..####.....##....####.##.#.#.#.###..#.#.##.##.#..#.##.##.#.###.##.......##..#.....####..#..###.##..#.#..#............##.#####.#.#.#.###.#####....###.#...###.###...##........#..##.###.....#.####..###.#...##..#.#..####.#.#...###.#.##....###...##.##.#.......#.#.#.###.#..###.....##.##.###.#..####.#.###.#...##.#.....#.....#..##...#######.###..####.###.#..######.###..###...#..#.######.#.#.######......####..##...###...#..#..#.#######.##.#..###.#..#..#.#.#....##.##.#########.##.#....#####...##.##.###....###..#..##....#...####..#.#.##.#..###.####..##.#.####..##.#.#..###.###.#.#.###.#.###..#..##.....#.#..##.##......
....##...#.##..##.#.....#.#.##..#.##..###.###..#...###..##.###.#..#...#.###....###.....#.....#.###...##....##.....##..#.#####.#.###.#..##..#.###.#..#.#..##.##...###.#####..####.#.#.#.##.......#.#.##.###.###....###.#........#..#.....#..#..#.##.......#....#..#.....###.#.###.#...#.#..#..#...#.#.#...#####....#.#.##.###..#.###.#....#.##.###.#..###....#.###.#....#..###...#.##..##...##.#..#.##..##.##.####........#.##..#......###....##.###..#...##.###.###.#.#########.###..###..#.....#..###.#.###.###..#..#.......#..#..#.#..#..##.###..#.#...#..#.####.#..####...##..#.....#...##..#....#.###..#.#.###.##..#.#.#####..#.##.#.#.....#.##..##...#..#.#...#####.##..#.#####...#.##..##.##...##.#.....#######...##.#.#.##.#.#...###.##..#..##.##.#.........###...#..#..#.##..#.#..#..##...#######..#....###.#...##.####...###.#..##.#...###..#...#...#...#.#...##.#..###...#..##.##.#.#..##..##...#########..#.#.#...#.#..#..#####.######..#.#...##.##..#..#.#....####..##...###..#.###.####.#...#.#....#.#.####....####.##...#...#...##.######.#.....#.#.##.#.#.###.#..##...###..##...###..##.##...#.#...####.####....####..........##.##..##.##..#.......##.........###...#..#.##.......#.##.#..#....#.....#..#........####...##..#.#...###.#...######...###..#....#..#.#..#..##...####...#..#....##.....#.#######..##.........#.##...#####.####...##.#.##.#...#..#..#.###..#....#....#.#...##...####..#..#...#..##.###.#...#.........#.#..#..###..#..#.#..#..######.##...##...#..#..##..#..#.#.#..#..###.##.#.#.###..#...#.##.###..##...##.##..#.#.####.#...##.#...####...##.###..#..#..#.#..#..#..#.##....###.#.#..##.....###...###....###..#.#..#..##..#..#....#...##.##...#.##.#..###..#.##.##.##.#.##.#.#......#.#.#######.#.#..#...##.##..###...###....#.#.##.....#...######..##..#.#.##.....#..#..#####....##...####.##..#.##..###.#.....#.#....#.###..#...#.######.#####...#...........#..#..####...###.##....##.....########.####.#..####.#..#..#####.#######...##....##.#....###.###.#.###..#.#..###.#.#.###....#..#.#.####...##.#.######.#.##..###..#...##.
.#....#..##.##...###.#.#########..#..#.#.##.##..##.#.#.##.##..#.###...##..#.#.##.###..#.#..###..###.#.#.#.#.#.####..##.#.#.##..#.##.#......###..##.###.......##.#....#..#..#.#.##...#..###...#####..##.##.##..##.#.#....##...#..###....##.#....##..##.#..#.#..####.###.###..##.##.#.##.####.#.#..#.#...##.##.#.##.###.###.##############..#.....##.###.#####.#####..#........#.##..#.##....#.#..##.#..###########........##..####.#####.##..#..####.###.###.###.#.##..###.##.##.#####.##....##.#.####.#####...##....#.##...####..#..#.##..##.#.......#....#...##.......####.#.####...##.##....##.#.####.####..#.####.##....###.##..#####.##...####...#.#.###.###....######..#..#..##..#..##..#....##....##.##........##..##..#.##...##..##.###..#.##.#.##..###..##.##.#..#....#.#..###.##.##..#..###...##..#.#..#..#.#..##.#....##.##.####.##.#....##.#..###....##...#.##.######.##...###....###.####.####....##.##.#..###..###..##.#.###.###.###..#.#...###...#.#..#...##.##..##..#.......##.#.##..###..###..#.........####...#########.###..##.#.##..###...##..##.#.#.#.#..#.#.##.#.##.##.....#.#..#...#...#...#...#...####..#..#........#.#....#...#.#########.#.##.#.##.#.#####..#.#....##.##.##.####.##......#...##.##..##.......#.###.####.##.##...#.#..#.........##.#...#...###.#..####..##.##.##.###.##.#...###...#####.#...####....#...##....######.##.##....#.##.###.#.#####.###..##.#.#.#.######........#....#.##########..##.##.##..###..#.##.....##.#.#.#.#####....#....#..#.....#.#....###.###.##..####.###.###.#..######..###....##.#...#..###..###.#######...######....##.##..##..#....#..##..#.###..#..#.#...#..##..#..#.#..##.###.##.#...#.###...#..##..##.###.###.#.##..###..##.##.#..#####....#..#.#.####...#####.##..#........###.#...###.##..#..###......####.#.##.#.#.##.#.#....#..##.######.#...#.##.##.........#...##.##.###.########.#.#####.....#.##.#...#.#..#.##.#.#.#.#.#.###.###.#######.....#...###.......#.#####.##.#.####.#.###.###..##...#..#..#.#...##......#..###...#....#..#........#.#.###...#.....#.......##....#.#...#.##.###.##.###..#
##..#....#.....##....#..#.....##.##.#.###....#.#.######....####.#.#.#.#.......#.#.###.#.#....#####..###..#....#...#....#..##.##..#######..###..#..#####.#.#.##.#..##.#.#..#...##......###.##...##.#####.###.##.#..##.###......##....#.#...#.##.#..#.##.##.#.#.#..#.######.##...#...##..#.#...#.######....#..##..#...#....##.#..####..#.#.###.##..#.###....#.####.#.#####.##.#.#.#....#..#...##..#....#.#####.#.##...#..#.##..#.#####.####.##...#.####.##..#..##.....#...#..#..##...###..#.#.#..#..#.#...##.###..##...#.#.##...##..#..###...#####.#.##.##...#..######.....##.#.....###....#.####..#####.###....#.........#........#.#....#..###.#....######.####.#....#.##..##.....###..####.##..........#...#..##.#.#...#...#.#.#..#..####.#..##..#.#.####..##..##....#..####....#...#####.#.###.#.#..##...###.#..####.#.##....#.#.##.#...#.###...##.####.#####..##.#.....#.#.#.##.##.#......##..##.#...#..######.#.#...###.#....###...#.#...#..#..###.###.#..##....#.##.#......##.########.#.##.#####.##...#...##..#.###....######.##..#...###...##.##..##.#...###.###..#.#.###.#####..##.##.##..##...#..#..#...#.##.##..#.##...#...###.###.#..##.##.##...#.##..#.#.##.##.#.#.#...#..##.####..#.###..#.##.####.#.###.#.##..#.#.###.###.#.......#.#..###.#.#..#...#...##.###.....#..#.###..##..#..#.#...#....#..#...##..#.#..#...##.##.#..####.###....##.....####.##....#..#...###..#..##...#.#.#.###.##.#..###..#..#..#.#...#.##.#..#..#..#..#...#.##....##.#...#..##.#...#.##.#####.##....#...#.#..#.######....#...##.###.##..###.##.#...#....#....#.##.#...#..#.#..#.###......#...###..###..#..##.#.####...#.#..#.#.##...#.##.#...#..#..######.#.#.#.....#.##....##..#.#.#..#.###.#..#........#.###....##.#..##.#...###...###..##.###...#.#..#.#..#.....#.#.#####.##.####.##...#.#.#........#.#...##.##.#####...#..#.#....####.###.#####.#.##.#.##.#....#..##.#...##.##.####.###.#.#.....#..##.#..#...#...###..#.##..#..##.#..#..#..#.......#.#...#..###.##..#..##..#..###.#.##.#.##.#..#.#..##.#.#..#...##..##...####.##########.....###..#.#.##.#.##....##..##..##....#...#
##.#..#.###..##.#....#.##.#.#.#...#######.####..##....#.....#.##.#..##.#...##..###.....#.#.#.##.#######..#.........##...##...#..#####...#.#.##..##.###.##..#.#.......#..##.......##.....#..#..#.#.#....#.#.#.....##.#..#.#...##....###....####.####......#.#..#.#.##..##.#.#..##.....#..#.##......#.###.........######.###....#.....#.#.#.#.#.#.#.####..#.#.##.##..#..##.###..#..#.#.####.#..##.#.##....##..#..#.......###.#.###...##......##..#.#.##....#...##..#...##.#####...##.#.#..#..##.#.....##.##..#.##.....#..##.#...##.####.##..#......#.######.##..####.....###.#...####....##.##...###.###.#.#.#########..#..###..#..#.###..##....#.....#...####.####...##...#...#.###...#....#..#....#...#.####.##.#...##....####..###...##...#.##.##.####.#.###.###...#.##.##.##.#...#......####..#..#..#####..###.###..####.###..###..##...####.##..##.....##..#.#.#.#..###..######.....#...###.....####.#..#.###.#.#...#...##.#..#.#.#.##.#..##.##..###.####.###.#.#...#.####..#.#.######.....##.#....#.#.#.##.########.#......###.#..#.#.##.#.##.#......#.....####.#...#.#.#.#.#..########..#..###...#######.#...#..#.#...##.#.#..#..#.....#......#..##.###..#........#...#.#..#...##.##.##.#######..#..#.#..#.###..##..##.#.###..#.#.#.##.#..#..##.######....##.##.##.#...###..#....#######.###.#.##.#.#..###..##....###..###.........#....##.##..#.##.#...####..#.#.#.##.####..####.##.#.####.#.##..#.#..#....#...#.#..#...###...##.####.#..#####.##..#..#..##.#...#....#..#.....#..#...##.....#...##.#.###..###.###.##..#####..#...##..##.###...#.###.###....#..##..#.###...#..###.##.#.#....#....####..#.#.##..##.###.##....##...#.....##.#.###.###..##.....##.#...##.#.#....###.###.#....#.######..#.###.##...##.#....#####......#.#####.#...#..#..###....#..#.#######..#####.##.#.#.#.####...##.##..#.#..#..###...#..#.......#....###..##.##.#.##...###.#.##....#.#.##.###..##.##.#.###.#..##.#.####..######..#.##..##..#.###..#...###.##..##..###....##.##.#..##...#.#####.#...#..#.##.###.....#.#.####...#.##..##.#.####...##.#####.....#....#..##..#.##.....#.##....#.
.#....#.###..###.#..#..##.......#.#..##.###.###.....#.....#######.#....##..#.###..#..#...#.#.##.#.##...####.#####.#.#..##.#########..####.#...#.###.....#..#.#.#..##.###.#...#...#.#..###..#.##.######....#...##...##.##########.##..#.##.##...#######.##...##.###...##.####...####..#.#.#.###.##.#.##...#.#.#####..##.#..##.#..####..#..#....##....#####..###.####.###.##.###.##..##.####..#.####..#.#...#..##...##.#.....###.#..#.##.....#..#...###.##........#....#.##....#.#.##.#...#.......#.##.#...#.#.##...#.####.....##..#..##.........#.##..#.#.#..#######.#.###.##....###.#.#..#.#..#..####...#...#..#..##..#..#.##.####..#...##.......#.###.##.#.....##..####.#.....##.#####.......#.##....#..###.##..##..#.#.##.####.##.#.#..#...##.#.#.#.#....###....#...##.#.#..##.#.#..#####....#...#.....######.##....##.....#..####.###.#####........###.....#.#.###...##.####.....###.##...#.##.###..#.###....##..#.#..#..#...#.###.#.##.#..##..##.#..####...........#.#####.##.#..######..##.##.#..##..#.##..##.#.##..#...#.###.##....#..#.##.##.##.#..#..#..#####.#.#.##.#..##..#..#...#..#.#.#.####..##....#######.#.##..##.#.#..##.######...#.#..######.##.###.#.......##..#.##.#..#..#.#.#..###.####...#.##.##....####..####.##.##.#.##.#.#.#..##########..######..#.##.#..#..#.##....#.####.##.##..####.#.#...#.##.###.##...#.##...#..###.###..###..#.###.##.##.######.#..#..#.#...#####.##.#..#.#..##.###.....######.###.#.##.###...###.#..###...#..####.....##..#..##.#..#.#.#.##..###..##.###..#..##.#######..##..###.#.#.#..#...#.#.#..###..#.##..#...##.###.#.#.##.##.#...#####..#.#..#......#.#..#..#.###....##.#..##....#######.##.###.##.#..##########...##.#.###..###..#....#####...#..#....#####..#.##..######.##..###....#.##...#.....#.###.#.#..#..####.#...#..##...#.####.##.#..#.###..#...#.##.#......##..#...#.##.##.###.#.#..##..##......#.......##..#.#.###.#.....#.#.....#.......#..#.###..####....#..###.#.########..#.#....##.##.###.##.#..####.#...#.#####..#.###.##..#.....#.#.###..###.####.##.#.#.#.##.......###.#.##.##...###..#...#.#..#..####
..#.#..####..####.####..##...##.##.##..#..#....#####..##.#.#.####..##..#.#.##.......##.###.##...#....######.#..#..###...#.#####...##.##..##....##.##.#.#...#.#.#.#.....#...#.#.##.#..##...###..##.#.#####....#.#.#....###.##..##.##.##.#..#.#.#..######.#.###.##..#.####.###.......##....#.##...###.#..#......#....#.#.#.#.##...#..###.####.###..##..#.#.#..#...#..#...###.#..##.#.#..###.##...............###...#....##.##.###.#.#...#...#.#....#.#.##.##...#.#..#..#######.#...#.##.#.#.##.....#..#...##.......####.##.###.....##...###..#..#.#.#.#.##.....###.#.#..##.##....#...#.####...#..##..###.#..##.#..#.###...#.#.....#.#.#.#..###...##..#..#.####...#.#.######..##..#..#.#.#...##....####..#..###...#.#.#...#..####.......###..#...#.##.#.###.###.###.#.#..########....#...###.#.#.#.#.####.##...##..##..#####.###.##..#...###.#...##...##..##.#.#...###..##.####.#.#.######.#...#......####.#....#...##.##..#..##..##...#..###...#.##....##..##.####..##.##.##........#.###.##.#..##.##..#.######.##.#....#.#..##..#.#.#######..#..#..#....#.###########.###...#..##..#.......#.....#.##.#.#.#.##..#.##..#...#..#.#.....#.#.###.#..##..##.##.#.#####.....#.####....#.#.###.####..##.#..#..#.#....##...#.######.######...##...#..#.#.#..###.#.##.....##...#.#..##.###.#...###.......#..###...#.#.....#.##.#.....##.#..#..###...##.#..#.##...##.#.##..##..###.##....#.#.###.##..#.##.#.#.##.##......#.##..#..##.##.#.###.#..##.#.##.#.###.#..###.#.#..###.######.###.#..##...###.#.#.##...##.#..#..#####..##.#.#.#...#.#........#.#....##.....###..#.###.....#......##...###...#.#...#..##..#.#..#..#.#.###..##..#.##..#.#..#.#..##..####......####.#.#..#..##.#.##.####.....#.#.#...#..#..##.######..####.#......##...##.#.###.#..#..#.#..##.....##..#.#######...#.##..#...#####..#.##.#..##..#..#...#..########.##.##..#.###..##.##..#..##...###.#.#.###....###..#.###........####.#....###.######..######.##.#.####.#.#...##.###.#.#..#.#.#..#.#..#.##.##.#.###...#.##..#...##.#.##...#......#.##.#..##.###.#.##.#..#...#..##..#..##.##.#...###...####.#.###..###..
.####....#.##.######.#.#...##....###....#.##.##.#...###.....###...#..#..####....##.##.##.##.##.####.##.##..#.#.#.#..##.###...##.###.######.##....#...#..##...##.....#####.#####.#..#....####..##.#.....#.....##...###.#.######.###.##..###..#.#.#...####.#..###.#.###..####.#...#.#..#...###.###.##..#####......###....###.##.....#...##....##....##.##..#.#.#.##.#....#.####..##..#.#..#.#.##..#..###.#..##.####.#..#.###.###..##..##.##..##.....#.#####.##.###..#####.#.###.#.#####.##..##.#####...#........#..###.#.#....##.#.###..##.###########..#...######...#....##..#...#.#..#..#....#..##.#.##..#......##..###..#.##......##.##...##.#.....#.#....#...#.##.#####.#....####...#..########.#.#....#....###.###...###.#.#......####.#.#.....##..####.#.##.#.....##....#.#####.#..##.#.###..######...#.#.#.###.###.....###.##.#.###.....#.##.#..####....#...###.#.####.#.#.#.##.#...#.......###.######..##..##...#.###.##.###.##.##.#.#.#..##.##..#..##....####.#..##.####.###..#########.#..##..#.#..##.#####..##...####.##..##.#######.#...#.##..#.###.######.#.#.#.#.########..#.###....#.##.##.##.##.########.####.##..###..#.......##.####.#...#####..#...##.#.###..##.#.#.##.##.###....####.#.##.#..####.#.###.######...###.###.....######...#.#.###...#...##..#.#.#.#####..###.###..#...###.##....#..##.#..####.######.##...#..#.##.#.##.#..###....####.########...###.#..####.#..#.#......##.##..#.#..#.###.##.##..#..#.#..##..##..##.#....####.#####....##.#.#####..#......###.##..#####.#...#.#.###..#.##.###.#.#..#.#.##.#....#.######..#..#.#....##.#.###.##.##..#.#.#...#...#.#.#..######.##.##....#..###...##.#..#...######.#.#..####.###..#...####....########...#.#########.###...##.##.#######.##.#.#.#.....#.####...##.#.###.#..###..#####.#.##..###.#.#....#.###...#...##.#......#.###.###.##..####..####.##.##..####....##....#.###..#####..#.##...#.####...####...#.....#.######...#.#.##..#..###..###..#....####..###...##.#####...#...#.###.####...###.#.#.......#.#.#..##...###..#.#..#..##...#.#.#...##..###..##.####....##...#.#.##.#...####..##.
###...#....##.#.##..###....#..##.####.#.##.#..#.#.#..#..##.#.#####...#.#.#..##.#####...##........##....#.#.###.#.##.##..##....#...#.##..#..#....#.#.#...##..#.#...#.#...#..#....#.#..#.#..##.#..#..##.#....####..###.###.#.####.##...####.....#.#.#...###..#####.##...###.###........#######...#.##....#####.......#.###.#..#..#...#.#...#.####.#..####.#...#..###..#.#...#.#........#####.......#.##.#...###.#.#.#.#.######.....###...##.#..#..###..##.#.##....###..##...#...#..#....#.#.###.#..#.###.#.#.#........#.#.##.######...##.###.#.#.###.###.....#.#####...#.#.....###..##.##....#.#....#..#.#.######..#.#.#.#....####.####.....#...####....##.#.#.####.#..##..###..##.###..####.####...#.#.....###..###...##.#..####...#.##.#....#####.####.#...###.#..#.###.####.......#..#..#...#..#.##.#..###...#..#.....#.##..#.###.#..#......#.###..#.####.##..##...##.#.#..#.#.#.##..###..#....#.####.###...##.....####....###.#..##.#..#.......##.#.##.#..###...#..##...###...#..#..##.##.#.#..#.###..#.####.#..#.##......##..#.#.###.#.#..###...#.#########.#.#..#..###.##.#.....########..#...#..###.#####.####..#############.#.#.##.######...#..##.#..###.#.##..####...#....##########.######..####....##.##.###...#####.#..#.#.###..#.......##.#.##..#.####.###...###.######.##...#.########......#####.#..#.##.###.##..#..#.#...#####..##.#..#.#.#....#.##.....##..#.####...#.###..#..#.##.###.#.#...##.###.###..#.#.#...#....#....#.##...#.##..#..##.##.##..##.#..#...#.#.##..###.#...#.###..#.###.####.#..#..##.#.#...#..##..##.#..#.#.###...#.#....##..####...#....#.###..###..#.#..##......#.#####.##.##..####.#..##.###.###.#.#...#.#....#.####..#....#..#....#.....##....###..#.#.#.#.....#..#.#.####.#.#.#.....#..###.##.#.##.###.###.##.##.#####....#.####.####.##..##.####.#####.#...##..#.##.....#..#...#..###.#.....###.###.#...##.##.#.##.##.#.##..####.###...##.####..####.##.####.###....##.#.#..###.........###.#.#..#..####...##....#.##.##..##.#.#..######.#....###.#...#..#.#.######..##.#..#.#####.######.####.#####.###.#.....##.....#.###..#..#.#..
####.#..#..#.##...#.###.##.##.#####.##......##......#..#.###.#..######..###..####....#.#.#.#.##..#.##..#.###.##.....#..###....#.#.....####...#..##...#..#.#####...#......#.##....##...##...#....#.##.#..#.####..###.###..#.#.##..#.#.######.#.#.#.#.###..##..##....###......#.#.#........######.....##....####.##.####.##.#.##...#....##.##.#.######....#.#.##.##...#.##......#.##.#.##.#.#....#..##...###.#.##.#####.#..#.##.#.##..###..#.#......#.#.######.###.#.######...####.##.#.##..##..##.....#..#...#..####..#.....##.#...#....#.#...#...#..##....#...#..#.####....#..#####.........####...#.###..##..#.#.#####....##....##....##.##.....#.##.##.....##..#.#.####.##.###..#...##...#####.#.#..#..####..##..##.#.####.##.#.#.########.###...#.#...#.#.#...#.##...##.######.######.#...#######.###......#.#....##.###..#.##.#.###.##...##.#...###......###.#.#..#.#.#..##.#....##..#...##.###.#..##.#..##....###..##.#..##.#.#..#....#.##.##.#.#..##.##..###.....#.....##....#.#...#.#.#.#.##....##.#.###.#.....#....#.#..##.##.#.###.#..###.#...###..#.#.....#..##.###....#.#.####.##..#..##.###.#######..##......###..#..#...#..##...##.####.##.#..#.##.#.###....##.###...#.###.##.#..##.#..##.####..#.###.....##.####...#####...#....#.##.#....#.#..###.#..##.###.###.#..#.#.#...###.######..####..#..#.###.....#.##.#.#..###.##.#.####.##.#.##..#....##.#..#.#.#######.###.#.#.#.######...#.##.##...######...###.###.....##.##..#.#.##...##.#...###...#..##..##.##......#...###....####.#.#...#####...##.#...##.#########.###.#.#..##..#.#.##..#..###.#.....##..#.####.#######.#..####.##.####.....#..##.###.#######..##.##.##..#..#.#...###.#...#..#.#......#.###.#####.###..#..#.#......#.###.##....##..#.#.#...##...#.###..#..#.#...##....#.#.##.##....#.....##.#......###............###.##.#....##.#.##.#..##.##..#.#..##.#..#.##...#....#...###.##..#..##...##..#.#####..#.#...#..##.....#####.#.#....####.##.#####...##.#.#..##.##..#...#.#.###.####....#.##.#.#....#......#.##.###.#..##.##...#..##..######.###.#......#.#.#.......###...##.#.....#.##.##.##..
.##.###.###.#...#..#####..##.#.#.#.##.#.#..#.##...###..#..##..##..##.#.#######.##...##.#..#.###..#.##..#.##..##......#...#...###..#..####.#.###...#.###..#####....#...###.#.....####......##..#.#...#..#.#.#..##.##...##.##.#..###..##.......##...####...##.##.##..#.###..#..###...####...####...#..##.#..#...####.#####.##..#.##..#.#.#..#.#..###...###....########.#.#...#.#..#.##.##..###.#...#....##..#.#.#....##.....##...#.##...#.##..#..##...###..#..###.##..####...#####...###.#####..#....##.###..###.#.##..##.#...#..##.###.####...##.###.#####..#.####.#.#..#..#.##.....##.#..#..#...##.##.##.#.#.#.#.####.....#..##.##......#.#.#....#.######..##..##...#.##.#..##.##.#.#...#.#.####.#.#...###...##.....##.##.###..#.##....#...######.#.......####....#..###..#.##..#..##...#.#####.#.#..####....#.##.##..###.###..#.####......######.#....#.##..####..#.#..##..#..##...#.#..#.####..#.#..#.#.##.#..##....#..##..#.##.#.#...##..#........#...#.#....##..#.##.##....#####..#######.##.#.##......###..#####...#....#...#..##.#..#..###.##..##...##...#####...#.######.#..##.###...#..###..####.#.#.#..##..#.#...##.##..##..##.#.#.....#.#.#####..#.#...#.#..#..#..##..##..##.###.#.#..##.#..#.###.#.#...##.#..###.#.##.##.###...##.###...#..#..#...##....###.###.#.#.####..##..#..#.....#.#.#....####.###.#....##.#..####.###..##..#.######...##.#...#.#.####..####.#.#.#.#..###..#######..###..##.##..##.#..#.###...#.###.##.......###..#.##....#...#.#...##.##.#.#...##.##.#.#.#..####.######.#.##..##.##....#.#.#####.####...##..#.#..#.##.#.#.##.#....#..###.#......###....#..#.####...#.##..##..##..###.#.##.#####..#.#.##.#.#.#.#.#.#.####......#.#...##.##.#.#.###.##.#..##.....###...#######...#.#...#.#.#.#######...###.##...#.#.###.##..###...####....##..#..#####.#.#.####.#############..###....#.....##..#..#..###..#.....##..###.#.###.##.#.###.#...#...##...#######..###.#.##..###......#......#.##.....####.###.#...#..#####.###..##.#..##..##....##.##.####..##......#......#..#..##.###......#.####.#.#.#####.#.######.#.####..##.##.#...###.#.###.#
##..#...##.#...#..#.#.##....###.#..##..##.#.###...###.#..###.#...#.....#.#...#####.#.####...###..####..##...#.#...##..#.#.###....#..#...#......####.#.###.#..#....##.####..##.###..#######..#..##...####..#..##.#...#.#.#..#...###.####..#..###.#.##.#.......#..###....#.##.#.#.#.#..#..#.#.##.#.########.##.##.#.#.....##.#.##.###.##.##..#.##.##.#.#....###..##..###.#...#.#...#.##.#...#.#.####.##.##....##...#..#####.#..#####..#.####.#.##.#.##.#..#.#.#..#..##.#.##...##..###...#.###.#.##.#...##.###.##...####.###.#....##...####...#.###...####.#.#######.#..#.#.###..########.#.######....#...##...#####....######..#.#.#.#.#.#...###...##....##.##..#.###....##.#.###..##.###.#.##..####..#.#.#####.###....#..#..##...##..##..#.#.##.#..#.##...######..#.##.#.##...##..####.###.##........#.####..##.#.###.#.##.#..#......#..#.#.####..#.######.#.....#...#...#......#.#####..##..##..#..#..##.#.######.####.##.####....##.....#.#....###...###...#..#..#.......#..#..#...##.##.##.##.............#...#..#.#####.##...#.###..####.##..##..###....#.#..##.#..#######.####..#..#.##.#..##.####.###..#.#.....#..#.##.#.##.##..#...#...##.###.###.###.#.#..##..##.#..#...#......###.#####.#.##.##.#..#.#.#..#...###...##.#..##....#...#...#..#....#.##..#..#..#...#.##.####...####.#.#.#.##...##.......####...#.##.###...##....##..###.###...#....#..#.#.###..##..##.##.##.#.##....#.##.###.#...###..#.####..#.....##......#.#...######...#..###...#.#####.###..###.#..#####...###..#.#.##.###...###....##...#.#......###..#.###..#.###...##.###.....##.#.#.....##.####..#...########.###..#.#.##.###.######..#.##.#.#..#...###..####..#..#......#..#..#....#.#...#.###..##...#..##..#####..#.#..#.#..#...###..........####.#.###..#.#..##.#..##.###.#.##.##.##...####.###.####.####.#...##.#..#...##.####.#...#..#..#...#.###.....#.#..#.##.##..#....##.###.#..##.##.....#.##.##..#.##.#####.....##..####.#..######..#.####.##..###.#.###..##.#.####.#######.##...#.#.#..#..#..##..#...#.####...#...##..###......#...#...#.######..##....###.#######.####...##.....#....#
.....###...##.#..##.#..........###.#.####.#.#.#..#.#####.###.####.###.##...######.#..#..#..#.#...######..#..#...#.#.#..#..###.#######.##.####..##.####.##.##..#.#.#....##..#.##..#...#..#..###.#####....##.#####..#..#......#######.#.###..#..##..#.#.###.#.###...###.##.##......#.#.#.#..##...#####..###..#..##...#####.#.#.##.#.#.#.#.#...###.#...##.#.##.###.###.##....##..#..#..###.#...#..###.....####......#..###...#..##.##....#.#..#.#..########.###..####..###.##...#.###.###.#....##.......##.##.##..#.##.####.##..#..#..####.#...###..#....#.##..####...##.###..#.....###....#.#...###..###......#.##.#...#...#...#.#.##..##.##.##.#...#.##...#.##.##..##....#..##..#.#..#..###..######.....###.####...#....##.##.#.#.####.#.##.##..#...##.....##.##.##.##.#..#.#####.#.#####.##.#..#..##.##..######.#.##.....#...#.#.###..##....#...##...##....###....#........#.#.##...###.#.####.....###..##..#.#.#.##...#....#....#.....#...###..#........##.##.#.##..##.###...##.#.##.##.###.######...#.#.#.#..#...#.#.#....#.##..#.#.##..###.#..#...####..#.......#.##.###.#####...#.####.#.####.##..##.##.###.####.#.#####..#..#...####.###.#..######.......###..##.##.#.#.####.#.#..####...#.###.#.#..#.#..#..##.##..#...###..##.##.#.###.#...#####..#.#.......#.#....#####....#####....##..#.#..##.#####..#.#..###...##..###.#..##.###.#.###...###..##..#.###.#######.#..##.##..##.#.#..#.##..#...#.....#.####.....##...##.#....#..#.###...##.###.#..#...#.#.#.....##.#.###..######...#.#####.###.#.##...##.#.#..##.#..####.##.#.#..##.......##..#.##.#..#..##.#...##.#.##.###..#.#...#...#.#.#....#.#####.#.#...##.#.##...........#....##########.#######...#..###..#.#...#####...####....##.#...###...#.#####.#.####...#...#.#.#..##....#.#.##.#...#.##.#..##.#..###...##..##.##.#..#.###.##.#.##.#.#.####..........###..##.#..#.##..##..#.###.......##.##.###..#......#...##....#.###.#.##.#..#..#.#.....##..########.##..###..#..###..#.#...#.#......#...#######.##.####.##..###...#.#.##..#....###.#..#####.#.###....#..#.###.#.##.##........#.##.#..##.###.##.#..###.#
..#.###...#####.....###.###.#.####....####.....####.##.#..#####.####.#..##....##.##.##.####.#..#...#.#...##.#.#...###..#..#.##..###.####.#.#..#.#.#....#..#.....##....#....##...##..###.##..###...#..##.####.#.##..#..#.#.#####.#.####.#...##..####....########..#.#..##..###.#.##...##.###..#..##..##...#..####....#..#..###....#..#..#.##....#.#.###....##.....#....##.#..#.#...#..###..#..#.....#..#.##...###........###..##.#.##.####.#####.##.##..##....#####..#####.#.##..###.#..###.........##.###....#.#.##.##...#..#.###.##.....####.##.#.#.##..###.###.#..####..#..##.#....#.#####.##...##...##..#..#.##.#..#.#..##.###...#.##.##..##.##..######.#.##.#..#.......##..#..#.#....#.##.####....#.#.#########..#.#..#..#..#.#......#.....##.##.##..###..####.###...###..##.####.##...#..#.#.##.......#.#.##...#.#########..#...#######.#..#.....####...##.#..###.#.#..##.#.....#.##....######...#......#....#.#.#.#.#...###.###...####.##.....#.....###.#.##...###..##...#.#.#.#...#.###..#..###.....#.##.##....#..#.#.#...##..##......##.#..#...#.##....#.#....##.##.####.#.#..###..#.#..#.#....##.##.##..#..###.#.###.###.#..##.##.##.#.####.#.....##.##...#.#.....###......#...#.########...###.##..#.##.##........#.##.###...#..#..#...##.##..####..#.#.#.#.###...#..#..#.#####.###.#...##..####.#.#.#.##..###.###.#......####.#.#.####.#..#..#...#.###.####..##.#.........##..##.#.###.##.#.##.....#####.#.##.#.####.#.##.#.##...#.........#.#.#....##..#.#.##...#..##.#.#...###..####.....#.#.##.#.##..#####.#...#.#.#.##..##...#....#..##.#...##.######.####.....##...#....###....##.#.##.##..#.##.#.......##.#.##.#..#.....#..#.....###..#..##.#.#.##.#.#...#.###...#.#.#.##......#..##.#.#.#####.#...#.....#.##..#.#..####....#..#.#######....##.##.###...##.#...#.#..#.#.#.#.#.#.....##.###.#........###..#.....##.####..##..#.##...#.##.###.#.#...#####.##.#####.####....#.##.#........#.....#.#.#.#..#..####..##.##..########.#..#.#.#.....#..#..####.##..#...#...##..#......#.##.#...###.##.#.###....##.##.###.###.####........#....#..#.#.####.###.#....####
.#.#.#.#..#.#.###..#..#.#.###..#.#.#..####.###..#.#####....#.#...##.......#.##..#.##...#..#...#....#.###..#.#....##.##.#######..#.#.........###.#..#.#..#.##..###...#.....#.#..#...#.###.######.####...#.###.#.###....##..#.#...###..#..#...#..#####.###.#...###....#....##.....#.##....#...#.##..#.#.##..#....####....###..##.###.##..####.#......##..##.#.#.#.###.###.##.##.##.#####.###...#...#####.#.#..##....#..##.##.#####.#..####.#####.###....##..#.##..#..#.##.#..##.##....#.###.....##.####.##.#.####.###..###...#.##.#.#.##..##....#..##.#..##.###..#..#.#####..#...#####.#.###.....##.##...#.#####...####..######...##..##.####...#..#..###.####.##.##.......#.#...#..#..###...#.###.#...#..#...##...#..#.#.#.#.#####..#.###.#..#....##.###..##.####...#.###..#....#..##.#.#.##.#.###..#...###.#.#####....#.##.#.#....#....#..##..#...###..#..#.###.....#..#.##.######.##.#.#...#.###...#....##.#..##.#.######.##.##.##..#..###..#....#.##..###..##.##.#..#.#....##...#.#....##...###..#.#..##.#.#...#.#..###..##.##.#.#.###..####.###...#..###.....#.##..##...#...##.#.#.####.#.#.#..##.#..#....#.##.####....##....#.########.#..##.##.##..####...####..#.#..##.#.#......##.#....##.##.#...##...###..#..#.##.##..#....##..#.##..##.###.##.###.####..##..#..###.#.#.....#.#####..##.#.##.###...###.#..#.####...##.#.###.##..#....#########.#.#....##..####.......##.#...#.#####.#..########...#.##.###.##..#...#..####..#.#..#.########..#.#..####.###.#.#..#####.#..#.#.#..#.#.##.#.###.#..##.#..##.#..##.##......#..##..#...#.#.#.##.#.##..####.###.###....##.#.#.####.##.#.##.....##....#...#..#.##.###.....####.##..##.#.##.#.#..###.......###.##....##...#....#.#.##.##.....#..#.....#####.##.#..#.##..#....#..#.####.##.#..#...##.##.###..#.#.#.#.####.#...####.##..#.#.#.###...##.##..##...###..####......########..####.#####.###.######.##..#..####...#.#..#.#...####.#...#...####.##...#####.####.##.###.###..##.#.....#.#..#....#.#...#.#....#.####...#.#.###..#.####....##.#..#...##......##.#.####.#..#..##..#.##.#.#...####..###..#....####...###..##.
#.#.#..##..##......##.##.#...#..#.##.#.#.####.##..#..#..##.###.######..##.##..#..#.##..##..#..##.##.##.#..####.#.......###.#...##.#.##.##.#.#.###.##.#..#...#......###.#.###.##...#....#####.#..#.##...#.#.##.#....###....#.#.##....#..##.#..#...###....#.#..#.###.#...#####.##...###.#.#....#..#..#....###..#..##.....#..####.###.###..##....#...##.#....#..##....##.###..#..#...#.....##..##..#...#.##...#########..##.#.##..#...#...##..#.##..##....#.#..####....#....#.###.#####.#.####..#..#.#######..#....#.#..###...#.##.##..##.#.#.##...###.#...#.####....###..####.##......####.##.#..#.#...#...##.#.#....#..#.#.#.#....#.#..##.....#.#..##...##.#####...#.###..###..#.#.#.#..#..##.##.###.##.....##......#####.#.#.###..##.#..#..##.#...##.###...#.....######.....###.###..#.####.#.######.#####.#####.#.####..###...##..##.#...##.#.####.#..#.##..#.##.#..#.###..#.##.#.#.##...#.....###.##.##.##.#.##..##....#####.##########.##.....#####..##.#####.#.#....#..#.##.#####.#.##..##..#####...###....####.##...#.#.####....#.#.##..#.#.#.##.#..#.#.###.##...#...#.#...##.####..#.####.##...#.##..##..#.######..#.####.#..#.#..#..#.#...#.###.....#..#.##.##.##..#...#.#####.###.#..#######..######..##..#..###.#.....#....##..#...#####.#...#...##..#..##.###.#######.######..#.##.#......###.#.....#.#.....#..##.##..##...###.....####..##.###.#..#....#..#....#.##.##..##...##.####.###.#..##.#..##...##.##.##..#.##.###..##.##.#.#.#.......###.##.....##.#...##..#####....###..#.#...#####.##.#...###.#.###.##..#.#.###..#####..#.##.#.####..#######...#.#.######..##..###.#..#...#.##..##....#.#.#..#.....##.##.#.....###..##..#.###...#.##...#.#....#...##.#....##...######....#.#.#####..#.##........##.#...#..#.#..#..#.##...##.#...##..####.......#.##.#.#..#..##.....#.#.###.#.##.#...##..####.....#.#.#...####.#..#.#..#...##.#####..#.......#.####.#.....#.####..###.###.#...#..###.#.#.####.##....#.##.###....#########.##.#.##.##....###....######..###.#....#..###........##...##..##....##.#..#########..#######..#.#..##.##....#...#.....#.##..#......
.##.##.###.#.##...#.#.#######....##..#..#.#...##.#.#..#...#.##.....#..#.##....#..#.#.#...#..##...##.......##..#...##.#.#.##.#.##.##...#...##...####.#.#..#.###.#....#.##.#..#..#.#..#######.#.......##..#.#..#..#....#....#..######..#.###.......#..#.#.....#.###.#.###.#...####....#####.##..#..#.####.##..#..##.##.#..##.....#.##.#..#.########....#########.##..###..#..###.##.########..###.##.##..#..####..###.#.#.#..##.###..##.######.####.#.#.....##.###...#.####.#.##.#..##...#.....#.#.#..##....#.#.#...####..##.#####...#.##.####.#.#..#..#..#..##.#..#.##.#.##.#.##..#....#...#.#.######..#..#..#.##..####.##..#.#.#...###...#....#.##.#..###.#....#......#.#..###.##.##.#..#...#..#..##..#.##.#..#####.#.#..#.##.##..###.###.######.#..##...##......#..##...#.##.#######.............####.#..##.####.#.####...#..###..####..####.##..##.#..#..#...####..##.#.#...###..#..#.#.#.###......##..#....###.#######.###....##...###.#.####.##..##.###...#......####..##.##..#..###....#.####.#.#.##..#.#.##......#..##..#...###.#.###.###.....#..#...#####.#.#....##.#..#....##.##.#.###..#..#.###.#..#..#..###.##...###.#......#....#..###.##..#....##....#.#.#....##.##...##...####..#..####..#..#####...######.....#..#....##.#...#.....#.#####.#..#...#...##..#........##..#....##..#...#.#.######.##..###.###.#####..#.#######..#..#...#.#..##.###...##.###..##.##..##...#.#....##..##.#.##.#.#.###...#..#.##.####.#.#.##.##...####.####..#.####.#....#......#.##..#..##...##.#..#.....#....##..##.###......#.#....##.##.##.#.#.##..#.#..#.#.####.#.#....#####....##.#.##.##..#..#.###..#..#..####..#.##.##..###..##...#.###.#...#..#.######.##.####..#.####.#####.#####..##.#.##.#.#######.##..###..###...#..##.....####......#####...#.##.##.##.....#..###....###...##..##..###.###.###...##...###...##..##.#..##.#.###.#.#....#.#..#..#...#..#.####.########.#.#....#...#....##.##..#...##..###.#...#..#..#......###....##.#...#.#.#.##.###.####.#..####..#.####..#..##.#####..#.#.#...##.##...#..#..........#...#.#..#####....#.#..####..###.....#...##...#.##...
.#.####..#.#..........###.#.....#.####..#.#..####.#.#.#.###.#..#####....#.###...#.#...#..##.#.#....#.##.##...#.#.##..###.#..#.#.##.#..#.#....#.#....##.###..#####..###.###.###...###...#.#..#.#####.###.#.#.##.#.####.####.###..###.#.#.#.#..#####..#....####.#.#...####.#...##.#..#..#........#.....##..####..######.##.#.#.#.##..##...#.##.##.#.#.####.##.#.#..#...###.#.##.#####.##.##.####....###.##.....#..######...#.#.###..#..#.###......##...####.###..#.###...#.##..#..#...##.##.#.##..#....#...##..#.#.##.#.#..#.#..##..#..#..##.##.##.#..#...#..#...##.##.#.#..#######.....####..###..#..#####..#.#.##.#..####.#.#.#.##.###....#.####.....#..#####.#######.#.###..#...#.##......##..##...##..#.#..##.####....#.##..##..##....#..##.#.#####..............#.#...#...#.##..#.....#.#...######..##....##.#...##.#####.###.####..#########.#.##.####...#.#....#.###.#.#.#########..#....##..#.....####.#.##.###.#.#.#..#..#....###.#.##.#####..##.###.#....#...#.###..#####..#.#.#..###..#.##.#.#.#.#..#..#.##..##....###..#..#.##...#.####..####..#...#....#....##..###.#####.#..###...##.#..#.....#.#.##.....#....#.#.##..######.#.##.#...###......##.#.##.....#..#..#.#....##.#..###.#.##....#.#.###..##########....###..#..#.#.#..##..#####.#.........#..##......#.##.#.#..##.#.#.#####.####.#.##.######.#..##......##.#.##..#####..#........####......#...#..####..###..####.#...#..###..####.#..###..#..#..#.#.#.#..##....#...##.#.#..####..#.###.#.#..##.##.#.##.##.......###....##.#...#.#.##.#.....#...##.###..##...#.#......#..#.#.##.###.....###.#..#.##.#.#.#....#.######.#.####.#..###..........#.#.#####.##...####.####...#..####..####...#..#..##..#.###.#.#.#.##.#...##.#..####..#...##....##...#.###..##...#.#...#.##.###...#..###..####.#..#..##..#...#...####........#..#.....######.###..##..#...##.#..#...#.#.#..#..#..##...#.#..#.#.#....#.#..#..#.#...##.#..#...######..#.#....##.#.#.#.###..#......##.####..##...#.#....#.##...########.###.##.#.#..#.#..##.#..#######....#.####.#.####..#...#..##..##.#...#....###.#.#.##.####.###.###.###.###.#.
###..###.##......#..#...###...##.....##.#.#####..###..#..######....#.###..#...#...#..####.##..#.##..#.#.#..##.#.#.#.#..#..##.##....#.#...##.....###.#.#####.####..#..##....##....#..#.#..#.#.#....#..##...#.#...#..####.#......#..#....#.##.#.......##..##..#####.##.#...#.##..##...##.###....###..#.#####....#.##....##....##.#..####.#####.#.##.########...##.#.#.#......#........######..#...##.#..#...#...####.#.######.###.#.#.###..#..#.##.######.#..###.#....#..##....#...###.##..###.###..##.#.#.####.#.#..####..######..#####..#.#.#.#.##..#.#.#.###...#.#.#.#.#...###..#.#.#...#####.#......#..##..##..##..#.###..#...#..#.####.###...#.#.......##...######.##.#...##...#.#.####.##.#.##.##.###.###..#.#.#.#..#....###.###.###.#.#.##....#.#.#....#.###...#...#...#..####..##..###..##.#..###...#.#..#.##..#####...#........##.##.....###..#.........#...##.####..#..##.#..#...#####...#.#.####.###..#.###..#..#...#...##.####.#...###.###..#.###.#...##..##....##...###.#####.#####.###...#.##.#.#..##.###.###...#....#..###.######...#..##.#..###.###..#.###..#..###...##...#.####..#.###.#.##.##........###.....#......#..###..#.#.....###.######..#####.#.#..#.##..###.##...#..##..#..#.##..##...####......##.#...###...######.###..##..###....##.#.#..######.......#...##.#.###..#...###..##....###.#.###.#.######..#....#.#.###.##.##########..##..##..#...#...#..###.#.#...###.#.###.###..#.#..#..#.######..#.##..###.#..#..####.###....#.#.#..#..........#.####.##..####.##.##...###.##...#.#.###...#.##.#.#..##.##.#.##.#.#####..#####.......#...#.###.#..###...#....####...#.###..####...#..#....###...#....#####.#.#.#.#..#.#.#.###.....##.#...#..##..#..###.#.#.###..#...##.....#.####.#.#.#...#########.#...#.#.#......####.#...#.....#.####.##........#.#...#.......###.####.#.#.###.#....#..##.####......####...#..#####..#.#####..#..#..##..#####..#.###...#..#....#...#.#..#..##.#....#.#..#.#...#...####.###.#......#.####.#...###.##.######.#..##.##.....#..#.#...##....###..#.##...#..###..##...#......#..#.###.####..#...#......##...###.###.#...
#.#..###.#..#..#..###.##...#.#.##.#..##...##..#.#.##.###.#.##.#.##.#.#.....#.#..#.#.....#...#...#..#....###....###.############..##.#..#.....#..#.###..####...#.#.#....##........#.###.##.#.#.##.#.#.#.#####..##.#.....#....#...####...######......#.#....##..##...###..##.#.#......########.#..#..##...#..#.###...##...##...#..#..#.....##.####...####.#.#..#....###.....#..#..#...#....######.#..#.##.#.#...##...##....#.#.....#.##.###...#....###.#.#.....#.#...##..##...#...##...#.....#..##.#..#.#.#...###....##..#.####..#.....##..#.##......##.#.....###.###.###.####.#.#.##...#..###.#....##..####.####.......#..#......#...###.##..#..#....##..#######.#.....#..##.###.###.#.###.#..###..###..##..###.#####..#.#.##.######.#.####.....#......#.....#.##.######..###.....#..#...##..#.......#.#..####.#..#.#####.#.#.#.##.#.###..##..##..##...###..#....##.##.###....###..#...####..#....#....##.#...#.#.#.#..#...#..#...##..#.#.#.#####.####.###.##....#.#..#######.#..#..#..###.###..##..######.##.###..#.#...#.##.....##.#..###.#..####...#.####.....#...###..#.##...##.##....##..#..#..##...#..#.#####.###.#.....#.#.#...##...#.#..#...###....#...##..##.#..#.##....##..####..##.#.#.###....##.##.#...#...#####..##.#....#...####.#.#.#..####....#.#.##....###....#...#.#....#####....#..###..##.##.##.##.#.#...#.####..###.####......#..#.##.#...##...##..##....#.##.#..##...#...##.#.##.##..##......##...##...#####.#.##...##.#...#.####...####.#...#..#...#..####.##.#...##...#..#...##.##.....#..#####.#..#.#...#.#...#...##..#.#....####..###.###..#.#.##..#...######.##...#...##..#...####.....#.######....#..###.#.#...##..#.##..#.##.##.###..#.#.....#....##...#..##.####.###.##.##.....#.##.#...##...###.#....#..#....##..###....##..#...#.##.###..#.###...#.##.#.##..####.#.##.#.....####...#.#.###.##....#.##.#...##...####.##..#..#.##..#...##.##.##...##.###.#..#####..#....#######.#.##.#.#.##..#...#....###....#...##.#.###...#..#.#.######..###..#..#.##.#.#####.##...##..#########..###...##....#....##.#..#..####....##.#.##..#.#.#...#.#...#.##..
.#...#.....#.#..##.###.#.######.###.#.##.#..#####....#..#...##..#.#...####............#####...#..##.###.##....#.#..#.#.#.##..#.#.####.....#..###......#..#.#...#..#..##..#.#..##........#..##...#.#####..##.#.#..###.###.#.#.....#..#.##.#...###..#.#..#.##...##.#..##..#.#..#.##.####..##.#####....#...#....#..#..###.....###...##..#..##..#...###.#.##..#.####.#...#.#.#.##...###.####.##...####.#..#..#.##.######....####.###.#..#.##.#.##....#..#.###.......######.#...##.#..####..#.###.#.#.....#.#.#..#...#######..###.##..##.....#....##.#.###...#...#.##.#..#...#.#.#.##....######.##.#.#.##..#....##.#.##...##..#.#.#.#.....#.##..#####.###..###.#....#.#..#...#...##.##.#...#.#..##.##.#.#..##..#...##.##.###.#.####.#..###..#..#..##.###.##....##.###.#..#...##..##.#...#.....#..##.##########..##.##.#.#.###....##...####....#.#..###.#.###.#####..#########...#..#.#..#...#.....#.#.###.#..#.#######..##...###...##..####.#....##.#..#....##..#.#.#.#...###....##..#..#.######.......#...##.#.##.........####..####.#.....#.##.#..#...####..##.#.##.##.#.#..#.##....#....#....###...#.#.####..#.#.#..###.......###...##..#..##..#....##...#....#...###..#.###....###.#..####....#....#....##..##.....###.###...#.##..#...#...#.#.#.#...####.##.#.#....#.##...##...#.#.#.####.###...##.#.#..###.#.#.#.#.#.#.##..###....##.##.#.###.######.#...##.#...#..####...###...##...#.#.##....#....#####.#.###.####..#.###...#...#....#..#...##....#.###.....####..#.###..###..#.#.##.#.#.#.#.#.#.#.#..#..##........##..#..#...######.###...####.#..#.#.#..#.#..#.#...#..#####.###.##.###.##..##.##...#####..####....#.#..#.#....##..##.##.#####.#.#.##..####...#.#..#...##..####..#..#####.#....#.###.#######..##..###..##.####..##.#.#.##.##...####..#....#.#..##.#.#..#..####..#.#..###.....#.#.###....##.#..#..###.#.##...#.##..##..####.#.##.###.##.##.....###......##..######......###..#.##....###.......###.#..#.##.#...###.#.#.###.##..#..##.#............#.#.###....#.##..####..##.#.###...####.#...#.###.#.#.##..##.#.##.#.#.####..#...##..#.##.....#..##..##.##..#
...####.#.#.##########.####.#####.........#.#.#..##.#...#..##.....##.####.###.#.##.##..#...##..##.##.....####.#.##......###...###.#.#.#.#...#..#.##...#.###.#......#.##..#..#.#.##...##...#..#.##......#..##..##.##.####..#..#.#.######.###.##..#.#.....#.##.##.....#..##.##.##.#####...#.#.##...##.#.#.#....##......#.###..###.##...#.####...#..#.#..#....###.#....###.#.#..#.###.#.###.###.####......######....#####.####.#....##..#...#..#..##...#.##.##..###....###.#...#.#..##.#...###.#.#....###..###.#..#..##.#.#.#...##.#..#####.##.#####.#######.#...##.###..##.........#..##..##.#.##.#..###.....#.#...###.#.##.......#...#.#...##.##...#.###.#...##.#.##.#...####.....#.#######.#..#.###...#.#..#...##..##.##....##.##..#...##..####..###.##...###.##..#.#.##...#..#..##...##.##....###.#..#...#####...##.##.##....#...###..#..##..#.###.#..#.###.....####..##...##..#.###.##.#.#.#...#..#..#.....#..#.#####.#...#.###..#..#.#####.#...#..#...######.#.#.##....####.#..###.##..#..#......#..##.##..#.###..#.#..#..#.#......#.###..#.###......#..####.#.##.#.#.......##.##.#..#####.##..#..#....###.#.##..##.#####..###..#.#..#..##.#.#.##.##...##.#..#.....####.###...###......#.#.....###.###..##.#..##..#..#.####..##.##.##..#..##...#..##.###...##..##.#.#.#.....#...#.####.#...#.#..##.#.##..##........#.##.###.####...##..##......###..#..##.##.#..#.#.....#.##.#..###.#.##.#.##.###.#.#..###....##..###..#.#..##.#.##.##...###.########.#.#...##.#..#.#....###.######......###..#.#....###...#######...#..#..######....#.##.##.###...#.....##..####.##..##....#.#..##...##..####............##.#..#....#.##.#.###.#......##.##..###..####.#...#..#.#.##.##..#....###.....######...#.####.......##..##..###.#.#.######.......#.....######..####.####..##.##....##.#.###.#.....###..###..#####.###.#...#...####...##.###.##...#..#..##.#..#.##..#..#.#...#.#.#..####...####.......#.#....#####.....####.....#.#..##.#..#.####.#..##.#..###.####.##.####...##.......##.##..#.#..##...##.#....##.#.#..#.#..#.#...#.#.#..#.....##.####..#..#...#.###..#.####...##..#
..###.......#..###.#.#..#####..#...####.....###.###.##.######.########.###.#.#.#.#..#..###....#..####.#..#..##..#...#.....##..##..#..##..##..#....#...#..######.#.#......##...###..#.##.###..#.###.#.##.###....#####.#.##.######.#.##.#...##.#.###.....#...#..##.#.#..#...##..###.#.##.##.#.###....#...##..#....##.#.#.#...####..#..####.#.#.##########..##.######.#####.#...#.####.#.##...###.##...##.#..#.###.###.....##.##...#.##.####.....#..#..####.##.######...##....#.##..###.#.#####.##......#.#.##.###.#..##..#...#.##..##.#.....##.##.##.#.#...#..#..##.#.##.##..##.#.#.....#.#.##.....##..####....##.##.##.....#.#.##.######....#..##....###.#..##..##..#..##..##...###.#..###.#....###.##.#..##.#...##.#######..#..#...###.#..#.#.#..#.....#.#......#.#.#..#.###.#.##..#.##.###.#..#..#.....#.#.####.#..##..##.##.#...#####.#.#####.###....##....###...#...##.#....###.#....#..###...##..##....###...####.#.#############.#...#..#.#.#.######.##.#.##.#..#....##..#.##..#...#....#....#.###.#...#######.#..#.#.#.####...#...######.....#.#..###..##.##..#..#####.#.#######.##.#....##..#.######.#####.#..##..####..####.#..#.....####.....##...#.##..#.#.##.#.##.#.....##.#...#.#.#.#.##.##.##.####...#..#####..##..#.##..####..#...##..#.##.##.##.##..##..........#....#.##..#.#.##.#.##.#...#.#..#.#..#.###..###.####..##.#####.#####........#..#####.....#.#..#..#.#...######.######.#######.###..##...###.#..#.#..#.....#..###..##.####.......##.#.#.#..##.#######.#..##.##.#..###....#.##...#.#.#....##..#.#.####.#.#.#.##.#.#......#.#####..#.#....######.###.##.#...#.##...###.....#..#.###......#..##.##.....###.##.#..#.#...##..#..#.###.##....#####...#######....##...##.#.#...##..#.#...##....##..##.#.#...#.####....#.###..#.#.#..###.####.##.##..###.#.#....#...#.#.#.#...##..##.....##...#.###...###.#..#..#.#..#.......#.###....#.#..###.##..##.###...#####.#....#########.#.##.#####.....##.####.#....#....#...###.###.#.#.###.####.##...##..#.##..#.####..##.#.#..##.##.#.#.#...#...#..#.#...#.##.......#.......####..#.#.####.####.....#..#..###.#
.####....#####.#.##..#.#...#..#.####..##.#..##.......##.##..#..####..##.####..###.##.#..###.#..########..#.#..##.##.#.#..#.#...#...###.####...#..#.#....###....##.#.......#.#.###..#.#...##...########.###..####...##........#...##..#.####.####.#...###..##..##.######.....####.#####......##.#....#....#.###.###.#.##..#....###.###.###...#....###.####.#.#.#....#.#####..##..##.##..#...#.##..#..###....###.###.#...#..#...#.#.#.###.####....#.###..#.#.##.##.###......##..#.##...#..##..#.#...##..####.###.#..##..##...#.#.###.######.##..####.....#..#.##...###.#.#.##.#.#..##.#.##.#..###.......#...#.....##########..###.##..#..#.#.##.#.#......#.##.##.#.#########...#......#######.###...###..#.##.#.###..#.##...#..##.##.##..###......#.#.#..#.####..#..####.#..#..##....######...###.#.#.#..#.###.#....#####.#####....#.#####....###..#.##....#..#...##....##........#.#..#.##..#.#..#...##..##..#....#..##.#..#.###.#..#.#.#.#...####..#.#..#..#.###..#....##..#.##.#..###..##.#.##..#..#.#.##.#####..##....#####......##..##.##.##.##......#...##.####......#.#..#..#...###.#..#.#..#.....##..#...#...##..#..#.###.......#.##.####..#.#.##.##...##.#...##..##..#...#.#....########.#.##...####..####.....##.#..#...#.....##..#.#.##....##...#.##...####..####..###.##.#.#######..#.#...###.##...##...######.....####.....##.#.##...#....##...#....##...###.###########..####..#.###..###..#.##.....#.#####..#.....##.####..#.#..#.###..#####...##.#..#..#..#.#.#......#.###.#.##....#.##..###..####.#.####.#.####...###...###..#######.#.#.#.#.#.##........####....#.#.....#.#.#....#.##.....#.##.##.#.#..####.##.##..#.#....####...##..#..###..###..#.#.##.....###...##.#######.#..##.###..#.#.#.##...###...##.#.####.###.....###..#.##..####.#####..#.###..#..#.#####...#...##..#####.##.#......##.#.####....###.###...###..#...#.#.#......###.....#...##.#....###...#########.####..##...#.##......##.#..#.#.#.###...##..#####...####.#..#.#.#.#.....##.#..##.##.#.....#.....##..######.###.....####.#..#..#####.#.###############.##.###...#..#...####.##.#..##
....#####.##......#..#.#....##..##...##.#.#..#...##...#.##.#.....#.#.#########.#.###.#.#...######.#.#.###.###..##.######....#..##.#......#.#.#..####...#.######..#...#.##..###.##.....#..#..###.########.##...###.#.#.#####.#.######..#...###...###.#..#.####..###...###.#...#.####....##..#...##....##.........##.#.#.##..#####..#####..#...#.##.#.#####.###..#...##.##.#.#.###.#.###...#.#..###.#..#.#.#.##...####.#..#..#.#..##.##.##.....#..#.##.#..#..#..#...#.##.###....#..##..#.#........#####..#.#####.#..#.####..##....##...###.#.##.#......#..##.#.#...#.#.#.#..###...##..##.##..######..#.....#..#..#.#..#.....#.#..##......#.#.#.##.#.#.##...#....#.#.###.##..###..#..#.##...##.##...##...##.#.#..#.#.#..#####.#..#..####..#...#..#.####..###.##...#.....#...##..#..#..####.....##.....#.#..#.#..#.###..###.##.#..#...#####.#.##..........#..........#..####..####.##...#..#####.#.##..#####.#.##.##.#...###.###..####....##.#..#...#####.#.#..####..#.##..#.#.###......#.#.##..####..##.##.##..#.##.##..#.##...#.#..##....###...#....####.##.##.###..##...##.#...##.#....#...#.#.###...#...#.####...##....####..###.##.#.###....##.##.##....#.#...###.#.###....#..###..#.#####..##.###.###.##......##.#..####......#.####....##.#...#...#...#..##.#.#.#.##.####....#.###..#.###.##..##...#........##...##..#####..#.#...###.##.#..##...###..#####.###.###.###....#..##..#.##.##..#...#...#####.#.##.....#...##.......####.#....##.####.##...#..#...##.####.###..######.#...###.##...#..#..#...#.#.##..#..##..##..##...###.#.##..##.#.##..#..#.#...######..###.###.#.##..#..##..#####...#....#.....#####....#.#...#####.#....####.#.###...#####.#...#....####...#.#....##.###...#.###.#.##..###...#####.###.....###......#.#.#.....#..###.##....##...#.##.#.#.#.#.##.###..##...#..####.#....##.###.##..###..#.......##.#.#.##.#.##.#.##....###..##.#.#..###.####...#...###...###..####.#...#.##..#...##.#..#.#..####...#####.#.####.###.#.....#.#.#.##.....#####....#..##.####.....#.#..###..###.#.##.#...#####.#......##.##..##..####.###....#.##.....#.#....###...
#.####..##.....###..###..#..#.##.#....#..##..##....#......#..##..###.#.###.#.##.##...####...#.#.#....####...##...#.####..####.####....#....##......##..##..##...#.##.....#....#.##..###....#........#...##..#.####.###.###.####.##.#.#.#.#.#..#.#..#.#..#.####..##########.##..#..#.#...#..#...#..###..#.##.###.##..#..##..#.#..##.##...#.......##.#...##.#####.#.###.#.#.####.##.#.......#.##.#..##.##.#.#.......######..#..#..#.#####...##.###..##..#..####.#..##..#.####.#.#..#..###.###.##.....##.....#.###..#.#...####.#.##.#..#.#.##...#...####.#....##.#...#.#.#.##....##...##.#..###.#..##.#.#.##.#.#.##...###..####..##...#...##.#.#...#..#.#####.#.##.####.#.#.###########.###.##.#..#.##.#.##...##.#...#...#....##...##....#....##.#.#....#..#.#.....###.##..####..##.#.#..#.#..##......#...###..##...#.#..##...#..##.##.#....#####..#...##.##.#..#.#.#.##.###.#...##.###..#.#...####.##..##..######.#..###.##.###.....#..#...###.###..##.#.#...#.####.#.#.###.#.#....#.##.#.##.##.#.#..##...##....#..#####...##..####.#...#.#...#...####...#..##.###.#.#.#..##...#.#..#....###.#...#.#.##..##.#..#.###.#....###....#.#.##.####.######.####.......###......#...##..#.#.#.#.###..#.#####.##.....##....##.........##..####......###..#.#.#.#.#...#.###..##..#####..####.#.###.##..#.#.#.##...#.##.#####.#####..###...#.####.#.##.##.##...#.....#.##..#...##..#...#..##.#.##.##.####.##..##.#.#.#.#.#.###..#....#..##..###.#...##...#.#.###.##.#......#.##.##...#.#.#........##.##.#.#.#..####.#.#.#..##.##...#..#..####....#.####.#..###.......#.#####.###...#....##.#....##..######.###..#.#...#..#....#.....#.#.###...###.###.##....#...##..#..#.##.####...#.##......##.######.##.#.####.#....##.#.#..#####.##...##....#.#.###.####.###.##.##.#####..#..#.#.#..#...#.###..##.....#..##.#####..####.#.#.#..###..##.#.###.##.####.#...#..###..#.###.#..##.###.#########..#.##.##.####..####.#.##.##..###....####....#..##....#..##....#.#....###..##.##...#.####.#..##.###.#.##.#....#.##..#.#.###.#........#...##.#..#..#..###......#.....#.#.#.#.#.##..##..#.#.#####.
...##...####.###.#.###..###.#.#...#.##.#..##...###..#.#.##.#.##.#.##...#..##..###.####..#.#.....#..#.###.#.#####.#..##.##.#.#..#...#.#.#..##...###...#...#.###..######.####.##.###..##..##..###..#.#.#..#.#.###..#..##..#..#...#.#........####..#.....#.....##..###.###..#......#.##.#....##.#...#.##...###..#.#.##.#.#######...#.#.##......##.##.#..##....#....#.#.#..#.....#.#.#######...##.##...###...#..#.##.##.##.###.###.#..#....##.#....##.####...###...##.#...#.##..#.#.....###....###..#.##.##..#.##.#.#..#.#####...#.##.##...##.###.###..#...#.###..##...##.#.#...###.#.#.#..#######..##..#.##....##.#..#..###.#####..###..#.###.##...###.#...#.#..##.##....###.##.##...#..##.#.#..#.#....###...#.##.######.#...#####.##...##.##.##....###.......#.##.#.#...#....######.#.#.##...###.#.#.#..#...#.######.#.####....##.##.#..#..#..#.###.####.#...#.#..#.##.#.#####..##...######.#.###..#..##...####.###.###....#####.#####....##..###.#.##...###.####..#..##...##.#.#######.##..#.#.....#..####.#.....##.#.#.##........#....#.....##.#.#.#..###.#.####..#..#....#..#..#..#...####.#..#.#...####.#...#...###.#.#..#...#...#.#.#.###...#.#.##..#.###..#.#.##.#.#......#..#.#.##..###.###........#.#.##...#.##...#.###....##.##....#.#...##.###..#.#.#####.#.#.#...#.#.#.#.#.##.#...###.#...#.#..#.##...#.#.#.#.#.##..#..##..###...#.##.#.###.#..#....##.#.#...#.#.#..##....##...#.#.###.#.#...#..#..#..#.....#.##.#..#.###....#.#.####..##......#.#..#.#.##...##...#.#....##.###.###.##.##..###.#######.####.#.########..#.....##.#.....####..##...#.#..##.#..#.###.#..##..##...#.#...#..##..#..#..####..##.#.#.#.....#.##.####..#.....#.##.#.#.##.#...#.....#.#...#..#...####.#.#.#.#..#...###.###.#.##..#...#.#.#.##.......#####.#....##......##....#.#...###..####.#.##....##.##..#..#####..#.#.##...#......###########..#.#.###.###...#..#..#..#...##.....#....#....#..##.#.####......#..###..##.##..###..#.#.#....#.....###.....##........#.##.##...##...#.###.##...#.##..###.#.#..###.########.##.####..##.#..#.###...#.#.##.###.....#.##.#..####.##.####..#######
#.######.####..###.#.###..#.#.###.####..##.#.##.#..#.##..##..#.#.##.....####..##.#.....#.####..#...##...####...#.#..#.#####.###.##.##.#.#.....##.#####.####..#####.#...###.###....###.#.#....#.#.#.#.....###.#########...#.###.##...#.##..####..######.####....#..##..#.#......#.##..##..##.....#.###.###....###..#.......#.#.##..##.#.##..#....####.###.#..##..#######..#.##.#.......#.#..##..#.##....##.##........##.##.#.#..#....####.##.#....#..###.#.##.#.#...##.#.#.##...####.#..#...#..#.##..#..##..##...##.###....##..#.##.#####...#.#..##.#..#.#.#...##.##.#.#.###..##.#.#...#..###..###.#.#.#.####..#..#..##.#######...#.###.#...#..##.###..##......###.###.##.##.....##.##.#....###........#.#.....######.#.###..#.#.###.####......#..##..#.######.#.#....#..#..###....###.##.#.#.###..###....###.#..##.#####.....####.##.##.#.#.#..##...#..#...###..##..##..####.#.###.....#.##.##..###.#.#.#.#...#.#....###..##...#..#...##.####.#.####....#####.#...#.#.#..#.##...###.##.#.####.####.#...#.#..##...##.#...###.#..#.#......####.#.##...#.#.########..#....#..#.#.....#.#.##.#######..##...####.##..#..#######.#####..#...#.#.####..#.###.#..#..#.#.##.##...#.#..#.#...#...#...#.#.#..#..##.####..#..#...#.#...#.##.......#...##.#..#.##.##..#....#....#..####.##.##....####.###..#.####.#.#..##.#.###.##.........#.########....####..#...####.#.##.###...#...#...#.##.###..###.#..###.....#....##..####..#..##..#...#..#.....####..#.....#..##..##..#.##..#..##.##.#.#.....#....#.###.##.#....#.#....###.#...##.##...###...#.#....##.....##.#.#.#.#.#.###.#.##....#.##.##...#.#.##.#..#####.#...####.####.####.........#####.##.##.###...###.####.#.##.#####....###.#.#.#....##...#..#.#......#.##....###.##.######..#.#####..##....#..#.####...#..........###..#...####...##..#.##########.##.###...#########.##.#.##..#.##..#..#.#.#####...#..#.###..##.#.##.####.###.....###.###......####...#..#...#.###.###..##.###..###..##..###.##.....#..##.###.##.#.##.#..####.#..........#..#.#..#.#....##.#...#....###.#.##.#.....#...#####.#.....##....#####.#...##.##.
#.##.....#.#####.#####..##..#..##...####...##...#.#.........##..##..####.###..######.##..###...#...###.###..#..##..#..#.##..#.#....#..#.#..#.#..#####..#######.#...#.##.#.##.#.#.#...#.##.#.##.####.##....##....#..#..##..#.#.##..##.#...#.##...#..###.#......#.##.#####.####.###....##.#..#.##..###..#.##.#.####.##...#.#...####.#..#........#.#...#...###..###..#..#.##..####.#..#.#.##.###...#.....#..####.####..#.###.#...###.#.#.#..##..#.##..###.##....##.###...#.#####..##.#..##..###.##..##.#..#.###.....###.##.##.....##.#....###.......###..#..#....##.#.#..#.###.##..##...###.###..###.#..#....##.#.#..##...#.##...####...#.#.##..##.##.###...###.....#..###.#.###.#.#.#.##.#...##...####.#..###.#...##.#.##...##.#...###.....###.##.#####.###.####.#..#....###...#.#.....#.##...##..####.###..#.#.##.##.####.##.####.#.#.#.#.###.#..######..#.#..#...#.##.##.##.###..#...###...#...##..#.#.#####.###.#...#..##...##.##.#...##.#..#.#.#..##..###.#.......#.#.#..#...##...#...#.###.##.#..#.#.##.....###.....#...#...###....####.#.....###...#############..######.##.###.#.........#...#..#.#.#.#.###.#######.##..#.#.#....#.##.#.###.###.#.###.#...#..#...#....#.##...##....#...#...#.##.##....##.##..#.#######...##...###.##.#......#.#.....#######...#####..##.#....#.#...#.#...###....#.##.#...#.##.#.#..#.....####...##.#...##.#..#.#...#...#.#.##.#.#..##...##..#..##.########.#...######.#######...###..#.##..###..##...#####..#..###.####..######.##..###..##.#####.#.###...##....#.#.#..#.#.####.#......#..##......#.###..##..#.##.##..#..##..##..#.#.#...##....#.#.#####.#.....#...###..#.#######.##.##...##.#.####.#.#..##.###....###..#.####...###.###....##...##.###..#.#.##..###.##.#.###..###.###....#.###.#..#.#.#..#.#....#..#..#..##..##....##.#.#####...#...#..###..###...#.#.....#..#...#..####.###....#...##....#.#..##.###.#.##.##...#.#.###.#..##..#.####...#....#..#....#.......#####..#.##....#.#....#.#.#..#.#......#.####.##.###.####..#####.....#.#.#..#.#.#..#.#.#.#..#.######.###.##.#.#.##.##..###..####..#.###..#...#...##.#.#.#..##.
##.####...##.....###...####.#..#.##...#####.#...#..###...#####...#######.#.##.#..#######.###..##..#....#.####....###.####...#...###...###.##.######..#####.#..####...###.#....##..#.##..#.#..###.#..###..#.#....#.#.###.#.###..##.#..#.#...####.#######.#.#.###.###..#..#...##..####..##..#....####..#.##.##.#.#..#....##.##..#..#.###.##.##...#.#....#.#.#.###..###.#.###.#..##...#......#.#...#....#.##.####..##..####.#.#.#.#####..#..##..##.######.####.##.##....#.#......###.#....#.##.#.#...#....#..####.....##..##.###....#...##..###.....#####.#####.#..#..##.#....#....#.##....##.##.##..#.#..#..##.#..##.#..#...#.##.#.##..###..##...######.###.###.#..##...#..#.#..##..#.##.##...##....###.#.###..###.##..##..####.###......#..#.###.###.#.####......##...##.#.##.#.#..#.#....##..........##.#...#....##.##..#..#####.#.#..####.###...#.####.#.#.#..##.#...#....##..#..#.#.###.#.#.#..#.#....##.#...#.#.#.....#####...#.#....#....#....###.#.#....#...#.##.######.#..##....#..########.##..#####...#..#...##.#..#..##.#..##..#..#.#...#.#.#.#.#.#....#.#..#.#..##.##.#.#####..##.#.#.##.#.....##..##.####.#####..#..#.#...#.#..#.#########.#..##....#..###.#..#..#......##..#...###.#####.#..#.###.#....#..#.##.##..#.##..##..###..#.##.###...#.....###..#.#...#.#.#.####.####..##..#...###..#..#..#.#.#..#..####.#....##....#.##......##.##.#########..#...#.#..####.#.....###.#.....#.###.##.##..#.###..###.###.####..####......##.#..##....###..###.###.####...###.#...##.##.##..###.#..#####....#.##.##.##..###.#####.#..#....#####..##...#..#.#..#.#....#.#..#...#.#..#...##.#.#..#.##.##.....#####.########.##..#...#.#.#.#..#..####.....#..##.##.#.#.#...#..#.#..#..###..#......###.#...#.#.##.####.#..#.#....####....#..#..#.#.###...####..##.##......#.....##.#.#.#.#..#......#######.##.#..##.#.#.###.#..#####.###...##.#.#.#..###..##.##.#....#..###...#.##....#.#.#....##...######..#..##.##...##...##.#.###.#.#..#..########......#.#....#.##..###.#.##.##....##.......##...#.#..##.##...###..##..####.##.#.#.....#.#.#.#........#..#.##.#.#.#.#.....###
#..###.....#..#.#..#..##..##.#....#.#.###...#######.#..#..##...#..#...#.....##..#..#....#.#.#.######.#.#...#.#.##.##.###.#..#.##..##..#..........#....###..#.#..#..##....##..##.###.######.#....#..#.....######...####.###.###.##...#..##...#.##.##...##...##...####.#.....##.######...#....###.##.#.#......##.##.#.......#.##.##..##.......#.#####.#.#...####..###.....#.#.###..##.###.....##..##.#.#.##..###.###....##.##.###..#.#..#..#....#..####.##.....#.#######...#.#..#.##..#..#.##.....##.##..#.###..#..####.###..#..###.##.#......###...#.##.#..##.#..###..##.#...#..#.##.##.#####..###.##.##..##...#.###...#..###.#..#.##.#..#####.##.#.#.#.###...#.#.#...##.###...#.##..######....#.#.#.#.......##....#.##..#.##....##.##...###.##....##.#.#.##.##....#.##....##.......##.##.####....#....###.#.#.##.##......##..####...#..#..##.####.####..###..#.#.#.####..#...#.#...##..#.#..###.##.####..######.##.....###.....#####....#..#.########.##########.##.##.#.##..#.#..#.....#..#.#.##.#..#..##.#..#...#..##..#..#.#...##.###.#..###.##.#.#.##..#..#.##..#..#.#...#.#.#...#..#.##..#..#.#.#..#.#.##.#....#.#.###...##....##..##....###.#.....####.####.###.#..#...#####..##..#..#.###..#...##.####..#.#....#.######...###.######..#..#..###...##..#.#...######.##.#.#####.#.#..###...####...###.#.##.#.####.....####.#.#.#..######..####..#.#..#.##....#....#..#.......####..###...##...#.###.#######.#...##....###...#...##.#...##....#.#.#....#..##.#....##..####..###.....####...###.#..#.#.#.##.#.#########..#.##.#.#.#######..#..#.##.#..##.#..#.###...##....#..#####.##.#..##...#.####.##.#..#.####.#...#.####.###.#..#####.#####.#..#.#..####.......#.####.#....#..##.#...####.#...#.##..######....#..###.###.#.....##.##.###.##.#.##...##..#...#...##.##.#...#...#.#...#.#..##..##.#.#.#.####.##.#####.....####..##..#.#.#.###..#...#.###.#####.##.###...######.#...#.#.###.#.###.##..###.##..###....###.##.#.............#..#.#.##...#.#.###...#####.#..##.#....###.#.##.#####...##...####......#..#.##..##.#####..##...###.##..####..###..#.#...#.##..#.##.
#.####..#.#####.##.##.#..#.###..#.#...#####.#...#...#.#.#..####.##....####...#####.......#####..#...##..#.##.#...##.##.......##...####.###...#...#.#..##.#..#.#.###...###.#.#....#.....###..##.#...#.#.##...#..#.##..###.###.#.#.##.#..##.#..#.#.#...#.###..###....####.##.##.##..###..##......#..#.#.......#...#.###..#.#...#...#..#.#..#....##....#...###.#..#.##....##.##.#..#.###.######......#.#.########..#..#.###.##.......#.##.....##..#..#..##..##...##.##.###..##.###..#..#.#.##.##...#.#.##......#.#.#.#..#........###.#.##..#.#....##..#.#..#.###.##.#.#.###...#.####..###..####.....##.###...##.##..##...##.##...#.##...#..##.#..##.##..##..##.#.#.###.##.#.##.#.#.####.###.....##..##......##....##..#.##...#####.###.###....#######...#.###.#...#..#..##..##..##....#.#.##...##.##.###.##.##....#.##....###.#.#.#...###.#...#..###.##.######..###.##..#######...###.#.#..##..####..#..#.#.##.##.##..##.#..#.#...#...##..#....#.#.########..##.##....##.......####......##..#..#.#...##...#.#...#....##......#.###.#.####.####...####.##.##.#..#####..##..#.####.##...#..#####.#...##.#.##.#....#...#...###.#.#...##.###.##...#####....##.######...##.#.#..#.###.##..##....#.###.###...####......####....#.###..#.##...##.#.#...##.###.#....##.#.##.###.....#....###..####.##...#.####.#.....#....##.##.##....##.####.##.#..##..#....#.###.#.#.#.#....##..##.##..#.#....#.##.#.##..#.......#..#..#..#######.....#####.###...#.#.####..#.#...##.###..####...########..##.#..###.#..#..###.####.##.#...#.#.#.......##.#..##.#.#.#..#.#......#.#..#..#....##..###.#.#.....######..##.##.####..#....##.###.#..#.##...#.#.##...##....#..#.#.#.##.#.##..#..##...#.#.....####.#..#.##.#......#.....##..#.##.#...#..#.......#...#.#####.#.##.#..#######..##.###.####.#......#..##...###..#..#.#.###.###...#.#.#.######.#.####.#..#.##..#.#...#.###...#.#...###...#.#...######.#.##.#..##...........##..##...#..###.####.##.####..####.#.##..##..###..#.#..#.#.....####....#....#...#..##..#..##.#..###..#.#.#.#...##......#..#..#.##.....###..#.#..#.##.###..#..#.#.##.###
#######...###..#....#.####..#.#######.##...##.#..#...#.#.##.....#.#.#..##...#.##....#.##..#.####.##..###.#####.####.#.##.##..#######..###..##.#.##.##.####...#.#...##.#####..#..#....#.#..#.#...#.##..##......##.#..#...#####.......#..###...##........#.#..#..###..#.....###...#.###.#####.#...#####..#.#.#....####......####...####..###.#..#..#####..########.####.###.#.#...#...###.##..#######.#..#..######.#.####.#....#..##..####..##..#.#...#.#.##.###.###....#.##.##.##...###..#.#.#.#...###..#.###.##..#..#..###.###..####..##..######...##.####.#..###....#...#.##..######..##.#.#...##....#.##.#.####....#...##.#.#######..#.#.#.#...#.##..##..####.######....##..#..#.##...#####...###.......#....#.#.#########.#..#..#..##....#.#....##.###...##....#.#.#.#..##.###..##..#..##.#..##.#.#......###.##......##...#.##.##..####.#.#.#......#.#..#..#..##..##...#..#.#.#...#..#...#.#.#.###.##.#####.....##.#....##.##....#.##..####.####..#....###..##.........##.###.#..#..###..###........#.#.#.#.##.##.#...##.##.##.#####.#.##....#.#.#....####....#...##.#..###.....#.....#..#..######.####...#...###...#.####.....###...###..##..#######.##.#..##...###.##.#.###.##...#.#.#.##.#.#.#.##...#.#..##..#####.#...#...####.#..###.#....#.#.#.#....#.....#####.####.#.#..#.#..##....#.#.#.#..#..##..#..#####....##..#.###.##.#.##.#.#....####..###.#....#.##.###.#..###..##..####..#.####.#.###.#.#..##.#.#.##...##..#......#.#..##......##...##..#.#.#.###.####..#.#.....######.#.#.###...#.#.#..#...#.##.####..#...####.##.#####.##.##.##...##..##..#.#####.##..#.##..#######..#..##...#.#.#.....##..##..#....##.#.#..#.###.##..####.####..##..##...##...#.###.##..#.#######..#..#####.##.#####..#.#.######....#.#.#..###.###..##.####....#.#..##.##...###......###..#.....##..#.#.####.#.....##.##..##.#.#.###.....#.##...####.#.##.###....######...#####..#..##.#...##...##.#......#.######...#..##...#.#...#...##..#.......#.###.#.##.##.#####....###.##....#.###..#......##.###.##..#........##.#..#.###.#...####..###..#.#.####.#..###..##..##.#...##.##..###..
..#...###..##.#.#..##..##...#...####..##.#.##.###..##.#....###..#.###.#.#.#.###......#.#.###.##..#..##.###..##.####.####.#..#.#.####..####..#.#.#...#.##..##.#..#.#..#..#.######..#..#.####..#.##..######.#..#.##...#.##...#.#.#.#####.####.#####..##...#..#..##.####..###...###.#.#..#.#.....#..##.##.#..#############.#.#####...##..#.#.###.##..#....#.##.###.###..###.#..#.#.##.#######.####...#..####..##.#.##.#....#..#.##..###..##.#####.#...####.#.#...##.####....##..###..#####..##....###.#.#.#..##.##..##.#...#.....##.#...#..#.##....#.#...####.######.###.#...###.##..##.#.#.#.#...#..###.##....####.#.#.##..##......#..##.#.#.####...##...#..#.##.####..##..#.##.#.###..#.....#.#...#.###..###..#####......#...##.#..####...##.#####.#.....##....#.########..##...####...#.......#.#.##.####..#.#......#.######.##.##.#..###.#.#.#.###..##.##..#.....#.###...###...#######.#.###.###...#####.#...##....####....#.#.##..##.##...##.######.##..###.###..###.##..##.###.#.###....#..####..#..#..#.##...##.#.........#..#.#.#..#....###...#..#..#..########.#.#####....#.#.##.....##...#.#..#.##.###.##.##...##.####.##.#..###.#..##..#..#.#.#...#.#.#.##.#.##.#....#.##..#.#####..##.#.#..####.##..#.#....#.#####....#.#....#..#.####.#.##.#...##.##.......#.###.##..####.##...###.##.##....##......######.#.####.#.....##..###...#..#####..##...#..#.#.#.###...###.#.##.#.....##.#.....##..#..##...######..#.##.#..####.##.....#.....##.....#.#.##.#..###.#..######.#..##.#.#.####..####.##..#.###.#......##.########..#.###.#.#..#.###########...#.#.###..#.##.#..#...####.#...#.###.#.####.#..#.#.#..##.#..#.#####.##.####..#.###.#.#.##.#...####..###.#.#......#..#..#..#.#...##..#.####...#.#.#..#..####.#..#.#...##.#......#.#..##..#..###..#.##.##.#..#...####.#.#####..#.....#.....##..#####.#..#.#..##....#........#...#......#.#.#..##....#.#.#...#.##.##.#.##.....##..#.####..##..#.#..##.#.#..##..###..######.....#..#.##..###...#.####...#.#...#..####.#.##.#.###..###.#.###.###..######...#..##.##.###.#.###..#...#.##.##..########.#.#..#....#.####.##.
##.##.###.#.#.....#..#....##.#..#.#.##...#.###.###......#.#.##..###.#......####.##.##.##....##.###...#.#.#.#..####..###..####....#.##.#..#.#.##.####.##..#......#...#..#.##...##.#...###..#..#..#......####.#######..#.#.#.#.#####...#.###..#.###.##..##..##.....#.#...#..##..##..##..#####.#..#.##..#..###.#.#.##.#..##.##...#.####...#.##....#.#.#..####.##..##.....#.#####.##.##.#......##..####.#.#.##.#.###..###..#######......#..###..##.#####...####.#.##.##...##..#...######.#...#.....#.#.#.#.#...#.##..#...##...##.##.##..#.##..#...#####.#.#.#...#.##.#.#####..#####..#..##.##..#.....#.#..#.#...#..#.#..#.##.#.#.....##....#.#..###.#.#..#..#.##.####..##.#####.#.####..#....#..#.#.#....#..#.#....##..####...#.##..#....##..#.#..#..#.#.#.#.#...#.###..##.##.#..#....##......#.#.##..#.##.#.....#.#####...#.#...#####.###..##..#####.##.###.##.##..#.###.###.#.#..###....###.#.....###....#..#.######.#..#####..#######..##.#.#.....##..#.####.#..###....#.#.#...###.#.##.###.#....###.###.###.#.......#.........#...#.###.....##..#...#..##.###..#######.##.##..######.##..#####.#..#...##.#...#.#....###..#..#####..#..#..#####..#.###....#...###.#..#......#.####.####......###.###.#..#...###.###.#.#..##.#.##..###....#...#.###.#.#.#...#..#...#..#####.###.##...##....##...##.#.#.##.#..#.#####.#.##.#....#.###....#....#...####....#.#.#..###.#.###.#....##..##......#...#####.##.#.###.#..##.##.....#....##..##.#...##.###.#..#....#....##.#....#...######...#####.#...#.#.##.####..#########...##..#.#.#..#.##..#..#...######...##.#..#.#.#..#....#..#..####...#.##.#..#...#.....#....#.#.###..#..#.#.##.##......####..#.##..###...##.##..###......#......#..#.###.#.#..#.##...#...#..#...#.###..#.#.####..##.##..#.#######.#####.#.##.....##...#.#...##.#.#.#.#.#.##..###..###.#.####..##.##....#.#.#....#.##.#....###...##.....#..#.##..########...#.##..###.###...#...#.#.##......#.####.#...#####.#.....##..#..#.#...##.#..#.#...##.#######..##..##......#.##...#..###.#...#.#.#.#######..####....###..##.#..##....##.#####....##.##.#....##..#..#....
#.##.#..#...##.#..##.......#.#######.#.#...##.....####..##.##..#....#.....#..#.#.##.####..##.##.##.##...########.#.#.#.#..####.####.#.#.....###.#######.#..####...#.#.###...#....##.########.....####..###.........#.###...####..##.#..#.#.#.#.#..##.##.#..#.....##...##.#####.#.....##..#...###..#####.####..###.#..###.#.#...####.#...#.##.#.####..##.#.##...##...##...###..#....####....###..##.#....##.#...#.#.#....##.##.###.##.##..#...####..######.#.#.##.##.##.....###.#...##.#.#.#.#.#..##..#.##..#..#..#.##..##.....######...#.......###...#..#..###.##.#..#..##.###.......#..####.#.####.#...####.####....##....#.######...#.#####..###.#....#.######..###...#..##..#...#...####...#####...#..#.#..#.###.##..#..#...##..#.#..#.#....##.........#...##.....#.#..#...#######..##.#...#.#..##...##..#..#.#..#.#.###..##.........###..#.#.###..#.##..###.##...#.....###.####.##..##..####.###.#..###.####.#.##......#..#####....#...####.##....#..####..#..##.##.###..#..#...#.#.####.....###.###....#..#.#..#.###..##.#..##.#####.##...#.###..##....######.###.......###.#.#.#.#.##.#.##########...##.##..#.##..#..##.##.##..##.#.#........#..#.####...##..###......#..#..#.##.#..#.......#.###...#.....#..#..#.#...#.##.#...####...#####.######.#....##.#..###.###......#....#...##.#.#.##.#.#######......##....##...####......###..###.####.#.#.#.####..###..###..#.###....#....#..###.#..#..###.#...#.#..###....#..#...#.##..#.###..#.....#.#.##.##.#.##...#.######.#..#####...###.####.###.###.###.##..##.#..######...#.####.##.#.##..##..###...###.#...#..#....#.......#.#...###.#.#..##.##....###.#..#.#.####.#...#.......####...#.#...##..##..##...#.#.#..###.#.##..##.#..#..###.#.#....#.##..#.##...#.####.....#..##.####..##...##########.#.####.##.#..########....#.##.#.#.#.#...####.###.#..#.###.#.#.#.##.........##.#.#.###.#...#.###.#.##.#...#...#...##..##.#..#.#......#.#.#..##.#.##..#.###...#.#.#.######.#..#....#..#.#...#.#.##.#.#.#.####....#.####.#...#.#..#.#..#....#..#....#.##..######..#.#.###.####.....#####.##..#.##.....#..#.####.####.###
#..##.#.###....##..#.#..#...#..#..#.###.#.####..#####....#..##.##...#..#.##..##..##.##.#.####.....##..##...#...#...#.#.#.#####..#####.##.#..##.##.#.#.##.#.#...####..###.#.###..#...#...#.#.####...#..####..##.#######.##.##.##.#.##.#.#...####..#.#.##.##..######.##.#######.#.#..####.##..#....#..#..#.#.#...#...######..##..#.##.#...###.##..##..##.####.###...###...#.#...#.#.#.##.#.##...###.#.##....###..#.#....###.###..###....#.##....#.###.#.##.##...###.#....#.#.###.##..#.##.###.###..##..#...#....#..##.###..#..##..#..#.##..#.##.#...#.#..#..##...##.#..####.##.##............#.....###..#.#.####..#.#.##.#...#..#..##.####..##..#.##.#.#.#.#.#.##....#####...##..#..###.###.#.####.........#..###.#.#.....####.#..#..###..#...#..#.#...#....##.#...#...##..###..####.#####..###.###..#..#..#######..#.#####.###.#.########.#....#.#.###.#.########.####.##.#..##...#..##.##..#.#.#...####.#.......#.#.####.###...####...##..#...#....###....#...#..#.##..#..######.###.#####..######..###..#.##..#..##.###....#..#...####.....#..#.#.##....#.#.#..#..######....######.###..#.#..#.######.#.#...###.###.#.##.###..####.###..##..#.#..##.##.######...##.#.#..####...#..###...#..##.#.#..####..#.#....#.#....#.#...#..#..#..#..##.....#..##...##.##.#.##..#..####..##.#....#...#.........####....#..##.#..#..#....#####....##.#..#...###.#####......##.#..#.##..##...##..#..###.#.......##..###..###..#.###...#.#..####.###..#...###..##.#..#.####.#..#.##...#.......#.#.#..####...#.#..###.#..#.#....#..#.##.#...####.#.#..###.#....##.##.##.#..#......#.#..##.#######.########.##.#####.###.#.####.####..##...#.#.#.##.#..#.##...#.#.##.###.#.#.##.#.......#######......###...###..##.##.##.#.####..#.....#...#...#..#.##.##.......##..#.##..###.###.#...##..#..#.###..##.#..#.###.#.#####.#.#...#...#..#..#....##..###.#.###..###.....#####.#.#.....####..#.####......##.....#...##.####.#...####.###.#.#......##...##.#.###.###.##..#.##....###.#....######.##.##....#.###...#.....#....#.#...#.#.##..#..##.#........#..##.#...#####.##.....#..#.##....######....
..###..##.#..#......#.####.#.....#...##.###.#..#...##..#..#..#....#.#..#######..#.###......####.#..##..#.##.#.#######.#.#..#...#.#.#..#.##....###.#..#.####.#.###...##.####.#.#..#...#....#.#..##..#...##..#....##..#.##.#.#...#..#.#..#...#.##.###..######.###.#.##.#.#.##...#.#...##..#.#.#.##...#.#..#..##.#...#....###.####.##...###.###....###.##.#.##.#..##.#.#..#...#######.######..#.#.#.#####.....#....#.###..#####.##.#.##...#..##...#.#..#.##......#####....##.....####...#.......##......##.......############...#.#.#.#.......#..#..##.##.##.......##.##.##.#..#.#....#..#####.######..#.#..##...##.....###......#.#.#...##.#....#####..#..#.#.#....##.##..##.###.###......#..###..##.##...#..####..##.#.##....###.##.#...###......#.##...#.#.#...###.##..##..###..#####..##...##.#..#....##..#.##.##...#..#...##.#.#.......#...#.......##....#....##.###.###.#######..#......#.##...#..#.#..####.##.#.#..#..........#..#.#...#..##..###.#####..##..#.#.##.#..#...#....#...####...#...##..#..##.###...##.#....#.####.##.##.#...#.#.##.#.##..#.####.##.....#...#...######..##....#....#.##.#.##..###.#.##..#..#.#..####...##.#..#....#....#...#...#.#.....#.#.##.##..#..##.#.#.##.###.#.#...#.....###...#..#.######..#.#..###.###..#.#.##.#.#..#.#..#..#####.##....####.###.##.#..##.#.##..######....#..#...#...#.####.....#.##.###...#.###...#.#...#####..#.#.##..#......##..#.#.#.#.##....#.#.#..##.####.##.##..##...######..#.#.###.#.#.#.######...##.##.#.###..#...##..#..#######...####...##...#..##..#.#.##.###..#......###..###...#...###.##.##.##....###....#...##...##..#...#.#.#....#..#.###..#.###...#.###.#....##...###.......#.###.#.##..##.###......##.#...#.#.#..##....#..###.###..##..#..###...###..####..#.####.#.###....###...#.......##.##.#####.##..#.#.#.#.##..#.....####.##.#..###...##..####.#####......#.#..#.#.#...#.#.#.#.#...##......##...#.#.#.######..#..#.#.#..##..##.###....#...#.#####.##..#.#..#.#..##...#..#.##.##.#..#.#.##.##...#...##.#...#..#..######.....###.##..##.###..#...##.#######..#.##...##..#.##.#..#####..#.####....
.#######..##.##..#.#####.....###.##..#...####...#.#.##..#.#..#..#.##.##.###.#..#..#....#.##...#...#.##.......##.##.#.###.#.......##...##.##..##....###..#..#.#..#.#...##########...##..#.#..##..##..#....####..#.##..#...##.#####...###....##..#.....###..#.##...#####..#.####.####...#...##.######..###..#.#....##....##.#####.##...#####..#.######.##....#..#.##.....##.#..####....###..##..#######..#...#.###.#.#..###.#..###..#.#.##..#....#.#.##..##...##.##...#....#.......##.##...#..#.#.####...#...###.......#...#.##..#...#.#......###....####...##.#####..#..#...#...#.....##....#.###..#.#.#.#.####.#.#.#.#####...####...#......##.###...###..#.....####.###.##...#......#.####.#.#.##.....#...#...#...#..###...##......#...######.#.#..##.#.##..##.##.##...##........##.#.##.#..#..#.##.##.###.##.###.##.#.#...##..####...##.##.#.##.##.#..####.###.#.##..###...#.#.####.##..#..#.#..####.######.##....#...##.#.#.##.#.##.##.##.###.....##.#####...#.#####.#.###.#.##..#..#..###..#####...#.#.##.#.##..#.#.#.#..#.##.##.......##.#..##.###....#.#.#.##.###.#..##.#.....#.#.#####.##.....#..#.###..#.#.##...#...#..#.#.#.#..###..###.###.#.#.###..##..#########.#....#..##.#..#.##..##.#.#.....##..##..#.##..#......#...#..#.##.#.##.......##.#####....#.###.#.......#.######.#..##...###.###....#.####..#.#.#..#####.#....##...#.#.#.##........##.##...#..##.###.###.##.#.####.#.##..#.#####.#.#.##.#######...#####...#.###.###...#.##...####.....##.....####.#.#.##..#..###...#.#..#.#..#.#.########....#####..#....#.#..#..#..#.#..#...#########.##.#.#.##.#.#####.####.###.....##.#...#..#####...##....#.##......#..#####.#..#..###.##.#..#..#...##..#..#.#.#.#.#.##..##..####...##.#.#.##....##.#..##...#..#..##.#.#..####...#.##.###.#..###.#.##.###.###.....##.#...##...##............###..#....#.......####..###..#.#.#######.####..#.#..###...#.#..######.....##.###..#...#.#..#..#.##.##...#..####..######.##...#....##.....##..#.#...#.###...###..######.##.#..#.###.###......#...#.#.##.#####...#.#..#...##.#..#.##....#.##...#...#..###.#######.#.##....
.###...####.#.########..#.#...###.#####.###..#..##.#.#.######..##.#..#...##....####....##.#.####....###.#.#...##..#..#..#.#........#.....###.#..#.#.#.#..########.##.....#.#....#..#.##.#..###.##.##..##......###.###.##..##.##.###.....####..#.#...##.#####....#.##..#...#.#...#########..##.###...##.####.#..#.##.####.#.#.####..#.#..#.##..#....##....##########.###..#.##.###.#.##.#.######..##..##..##...#.#..####.#..####....#..#.###.#...#...##..........###..#..#####..#.#.#.#..##.......##.#..####.#..#.#.##...#.##.#.#...#....###.###..#...#..#####.....#..#.###...#..##.....#.#.##.#..##....#..#.##..#..#.#....####..##.#...#..#..##.#...#..###..###.#####...##..##.##.##..#...##..##.#....#.#..#...#..###....#...##.####...#...####..#..###.#...###.....#....#..#..#...#.#.#..#####.#######.##.#...######.##..##..##...#.###..#..#.#....#####.#.#..##..#.#.......#..##....#..##.#...#.#..####.#.###..##....#.#.####.###.###.###..###...###.#..####...#.#...#...#.##.##.#.#.#####.#..#..##.#.....###.#..#.#....#####.##..####.#.##.#.#.###.#.#.##.##.......######..#.#.##..###..#.#.#..#..#...#.#####..#....#..##.####..##..........#.#.#.#...###.#.#..#...###..##..##..#####...##.#..##..####.#.##.##.####..###....#.##.#....##.#...##.#.#.#.##...###....###.##....#####..#..##.#.########.#..#.#.##.#######...#..#..#.#######..#.####.#.#.###.#..#....##.#..#.#....###.#.#.###.#.#...#.##.#..#.#..#.##..#.#.#...#..#...#...#.###.#...#.#.#####..#..####....####.#...#.#####..#.#.##.##....#.#####.#.##...##.#..#.#....##.....#....###.##..#....#.#..##..###....#.########.#.##.#.#.##.#...#.####.#.#...###..#..##.##...#.....#..#.##.###..#.#....#....####......##.##....#..#.#.....#.##..#.##.##..##..###..#####.#..#.#.#.###..#.##.#.###...##.#...##..##.#....###.##..###..##.####.##...#...#..#.....#.##..#...#.#.#.#..####.#.....#......###..#...#..#.##.#....#...##.#.#.##.##..###.#.#...##..##...#.#####..#.#.#.##.#.####..#.########.###.#.#.....#.#..#.##.#....#.#...#.#...##...#..#..####.....#...######.#.####..#.#..#.#.....########..###...#..###...#..
#.##..#...###..##.#...####...#.###.####.##..#.########...##...##.##....#.##......#.#..#..#.##.#.##.####...##.#.#.###.##..#.#.###....#..###...#...#...#..#.##..##.#..####....#.##.##..##..#.########.#.##.##.#....##...#..##.###....#....##.####.#...#..####....#######..#.##..#..#.#..#.#.##.#.#..##.##..#.#..###.#.##.#..#####..#.#..##....###.#######.###.#.###.##.###..##.##.####.#...#####..##..##..#.#####...#.##.##....#......#.#####.###.##..##.#........###..#.#.##.##..#.#.##.##..###.#..##.#.##..#..####...#.#..######.#..##...##.##...###...#.#..#.####.#.#...##.##.##.#..#.#.#####...#..###..#.#.#.#...#..#...####.#..#####..#.####.#####.##...........##.#.##..####.....##.#...#...#.##.#..#.##..##.####.#.#....#..#.#.#....#..###...##....#...##...#####.###.##.....#.....##.#.#.##..######...#..##.#..#..#.#..#..####....###.####.#.#.#.##..####...#.##....##.###..###.#..#.##...#.#.#.#.......#.#..##.....##.###..#.##..######...#.#.....#..##....#.####.#.#..##.#....#.###.#....##......#.#.#....#...#...##.###...#...#...#...#....###.#..##.#.##.....#..#######.######.#####.....#.##.#...##..##.#..#####.....#####...#.##.####.#..#....#..#......###..#.###...#.#..######....#.#...##....##.##...#..##..#...##..###.##.#.#.######.......##.####..#.#####..###..#....#........##.....#....#..#.#####...###..#.#.#.#.....#.##...##...#...#....##.##.##..#...##.#######.#.#.##.........##..#....#.#.###....####.#.#...#...#.#.######....###.#.#......#.####.###....#.#..#.##.#.#..#.#..#####.#...###.....#.#...##.....##..#.#.#.#..##..###.####.#########..#####.#####.#..#.####.###..####..##...#....#..#######.###.#....##..###.#..#..###.#.#.##.#...####.####...##..##..####.#..###.##..###.##...#.#..#.#.###.#.###..#..#..#....#.#.#...####.#.#..###.#..#####..###.####..#.###....###..#.#...#...............#.#.#....###.######.#....###..#.#####..###.#...#####.#...###.####.#.###...######.#.#..######..#..##.##.##...#.##.###...#....####.##.#.#.#.###.##....###...#######.#.####..###.##...#.#.##.#.#.....#..#.#.#..#.#.##...#.#..#..#...........#.#.##
.###.#...###.####..#.##..##..#.##...###.####..#...#...#..#.#...##.###.#..####....####.#.###.#.....#.....#.####....#.#.###.#..##..#..#.#####.##.#..###..###.#...#...#.###.#.##.#..#.#...#...#####....##...#.##.##.#.###...#.....#...##..####.#..#.#..#.##.#...###.#.#.#..##.##.##.#.##....#..#..##.####...##..##.#####.##..#.##...#....#..###..#...#####.##.####.#.##..####.##..#####.##.###.#.#######..###.#.###....##....##..#.####....#.###.##.####..##.#.....#.#...#.#..####...######.####...#####..#.....#...#..######.##.#.#..#....#.##.#.#...##..####.....#.#.###..#..#.#####...#.#####.#..#...####.#....##.#####.####..##..#...####.#...#.#.##.###.###.###..#....#..#..##.....##..#.#...#.#.###..#...###.###.###.#.##...########..#.#####..##.#....####.###..########.#.#..######....####.....##.###.##.##.....#.#.#.#...##.##..#....#......#.#.####..###.##...####.##.....#...###.....#...###..##.##..#...###....###....#.#.#.##.##...#####.#..###.###...#.##...###...#.#.#..##.#..##.#.#.####.....####.....#..##.#.##.#..#####..#.#..###.#..##.##......##.####.######.#.#..##.####.###.##.##....#.###.###.#...#..#...##.#....#######.#.#.#.###.#######..##.#.#..#.##.#...##...#.#..#.####..##.#..##.#...###.#.#.#.#.#####..##..#.##.##.#..#.###.#.###.#..#...#####.#.#...##...#.##.#####.#.##.##.###....#...#...##.##.#...####...##...#.#.#.#..##.#.##.#....###.##.###.#...###..####.###.###....##...#.##...#.#####..#....###.#.#.###..#.##...#..#####..#.###.....#..#.##.####...#..###.#.###.##...#.#####...##.##..#.###...#..##.#.##..##..###...#...####.###...###.###.##.##.#..####.....##....#..##..#.#.##..###.##....##.###.##....#...######.####.....#.##.#.#.##.#....#.#.###..#.#.#...##.###.#..###..##.#....###.#.#.#.#.##...#..#.#.##..##.####..#..#.#..##.#.#####...##...##.#.#.##..##.....#...#.#.#..#....##......#...#..#..##..#..#.#..###.#########.##.#.##......###..##.####.#.##...###.##.#....#.##..###..##..#...#..#.#.##.#...#..#...###..###.##..#....##.#.##.#...#####.###..#.#..##...##.....######...#.##..#..#.##.#...##.#..#..#..#..##.##....#..#
##..##.....#..#.....#..#.###....#...#.##...#..#..##.##..##..##...###.#..#......#..#.##........#.##.#.#.#.###....##.#.##..#..###.#..#.#.##.####.....##...#####.##.#####.#..##...######.######.#..#......#...###.#.#.##..#......##..#......######.....##.##..#.###.#.###...#....#.##.#.#..####.#..##....####...####.....#.#.##...#.##......##.####...##..##.#....##.##..###...###.#.##.####..#..##.##.###.##....###...#####..#..##.###....#.#.######...#.#.#..##..#.#.###..#.#.##.##........##.######....####.####.##.###...#######.##..#.##.#.#####.##..###..#.#.#..#..###...#####.#.####....#####..#####.#####....##.#.#.#..#..#.#..##......#.....##.##.#####.###.####.#...#...#.#..##.....#..####..#.###.##..#...#..#..######..#...##...######....#.#.#...#.....###.##.##.#.###..##..####..#.##..#.#.#.###..##.####.#.##...####.#....###.##..#..#.##.#..#...#.#.........#..###..####.#...##..##..##.#..##.#####..#.##.......#...#.##.##.###..#.##...##.#..#.#.###.#..#.##...#...#.##.##....#...######.....###....#....##..#.#..######.###.###.###########..#.#.#..##.##..#..#.###..#.###..#.#.#..###..##..##.#..#.###...........##..##......#.#..#######...#.....##....#.##.......#.....#.#..#.#.###.#####.##.##.#.....#.#####.######.##.##..####.......###..#####.##.###....##.###.#...#...#.####.#.##........##..###.....#.##.#..##..#...####.#####...##...##.#.####..#.#...####.#...#.###.##....##...#.#.#.#..#..#....##....##..#..#.#...#.#......###..#.#.....#....####.####.##.####..###..#...#.#.#.....#.##......##....#..####..#.##...#.##..##....###.##..#.####.##.#.####.#.#####.#.####.###.#..#..##.#.##..###.#.#..###..#.#.####...##...#..#..#..#.#..#..####...#####...##.#.#.#..###.#...##.#..#.....#.##...##..###.#..#...#..#######...#.#.#.######..#...#.#.###.#..#...#...#######.#..#..####.#.#.##...#.######...#.##..#.#...#..#.###.#..##.####.#..###..##.....###.#.#......##..##.##.####.#.......#.#.#.###.#....######.#.#.#..#......##.####.##.#.#..#.#.####.#.#.##.#.##..#..#..#.#.##.#.##...##.###..#.#####.###.#.#...#####.###.##.....#.#.##..#..###...###
.#.##.#...#.##.#..##.###.#####..##.....#.#...#.#.##..#..#.###.####.#####..###.#...###.##.#.##...#.#####.###..###.###.##.###..##...#####...##....#.##...#...#..#.##.#......#.#.##..#.#..##...#..##.#........##.#.##..##..#.......#..#.###..#..##.##.#####..#...#..#.##.#.#..###..##...####.#..##.##....##..###...##.###....#.#.#######....##...##.......##.##...#.##.#####..##.#..#....##.#.##.##.###...#........#...####.##..##.#...#.##.....##.#.##..#...###.#.#.#...##.##.##.....####..#.###.##....##...#.#.###.#.#####.#####.###.#....#.#.#####.###..####..##.#.##..#.#..#..#..#.##.#.##...#..#..##..###....#.#.##.#.#.##.##.....##.#..#...###.#.#.#####..##....#.#..####.#..##..#....##.##.##..#.#.#.#.###.###..##...########.##.#.#....##......#####..##.#...#..#.#####..#.#...#..##.......##.........#..........#...#.##.###.###..##..#...##.....##.#####.####...#.......##..##.##..##.####.#.##....####..#.##..#.#...##.##.#.###.#.#..#.###.#####.......#.#.#.#...#.#.#..#...#..#..#.#.#..##.#.##....#.#..#..#..#.#..#.##...#....#.#.##...#...#.##..###...#.#.#.#####.#..#.#.##....#.##....########..#..#.##.######.#.####..#...#.###.##...###..##..###...#..#.#.#.#...###.......#.#.####..##.#.#.#.##.####......#.#.#.##...#.#.###.##...###..######....##.#.##....###.....#....#...###.##....###.#......###..##.##.....###...##.#.###...#..#..##..##..#.#.#.#.####....#.#..##..#.#.#.#..#..#..####.#..###...####..#..#...#####.....###...#.##.#.####...####...##....#.##...#.#..##.#.###.#.###.###.##..#....#.#...###..#....##.##........#.###...##....#.#...##.#...#.#.###.....#.##..###.#.##.#..#.#...##...###....##.####.#.#.###..#.##..#...#.#.#...#..#.##........#...#..##.....#...##.##...##.#.#...##..##....###..##...####....##..##.####..#.##....###.....#..####.##.##.#....###...####......#.#.##..##.##...##..#..#...#.#.##.#..#.....#..#....#.......#..#.####.#.#.#.##.##.#.#.###.###..##..##.#######.##.##.....#....#..#####..#.....#.#..#.#......#....#.#..#.#..#.#....####.#.#.###....#..#..#...####.#..##.##.###.....###..##.......#.####.#.##..#.#.#.##
##.#.#.#.#....#..#...#...##...#.##.#.#.....###...#.###.#######.##..###...###.#..#.####.......###.##.##.#....#.##..##......#...##.#.#.#####...####.#.##.#....##..##...##..###...#....######.....###..#.#.##.##..###.#.##.##.#.#.##.....#.#.#..#.#...###.#..##.##....#......###...###.###..###.#....#.#.#.##..##..#....##..#####.####.##.#......#.#..##.####.##..#.##..#.##.##.##........#.#.##.#...##.##..#.##........#.#...##.#####..#.#.......##.#.###.##.##..#.#.#.#.#..###.#.#.#..#......######.##..####.##....#.##..#.#...###.#....#.##......##.#..#.#.....#...####.###.#..#.#..#.###....##...###.####.##..##...##.#.#.###.#.....###.###..#.##..#....####......#..###...#.#.#..#...#..#.##..###.....##..#####.#..##.###.#.#..#.#.#.#..####.####.#...##...##..###########..#...##.#..###..####.#####.###########..####.##..####..#....##....#.#.######.#####.##..##.#.#..########....#..#.###.####..#.#.#.####..###..##.##.#.#...###.....#..#...#.#.#...#.######.#.###.##..#.#.#.##........#.#...#..##....#...#.###...#######.#.###.#...#....##..#....##.#.#.####.###..######.###.#..#....#.###...#.#####..#.#....##...####......#.#.....#.#.###.####....##....#.##..#####.#.#..#####..#.###..#.#.##..#######.#.#.##.#.#...#.###.#..####..#...#...#.####....#.#.#####...###.###..#.####..##.#.##.###..#.#..##.##.###..#...#.###.##.###...##..##...#.#..#.#........####.#.#..#.##.#.....####..###..#...##....#...####..######...#..###..#..#.#...#####....##..#.#.##.#.#.#..#...#...##....#...####...#...###.#....#....###.#.#...######...##.##...##.#..##...#.....##....####.#..#.#...#.#..##..###....##.#..##.#....###...##...#...##.##..........##.#.#..######.#.##.#....#.##.##...#.##.##.##.#.#...#.###.#...##....##..#..#.#..#.#..#...####.####.###.##.##..#.###..#.#..#..#.#..##..#.##..###.##.#.#........##.....#.#...####.#...#.####....##......##.#..##.#####....####...#####....#..##.##.##.#.####.####.....#.##...#..##.####.##.#.....##...#..#####.######..#..##.#.###..#..#..#.####.#.#...##.##.###.##....###..####.#.##.#.##..#####..#..#.#......##.#.#..###..#
#.#..#.#...#.#.##.###.##.#..........#...##.##..####.##.#.###.#.#...####...###..#....##.#.##.#..##....##.#.#.###.#..#.#.###.#..##...##.....##..###.#.###..#....#..##.##.##.###..#.#.#.......##.###.#.....##.#.##..####....####..#####..########.#.#..#...######.#.#...#.#....#...#.#..#..#####..##..#.#.....#....#....###.##.#.#.####.#...###.#.###.#..#...##.######.##...#..#..##.##...#...#.#...#...##.#....######.##..##...##.###..#.##.#...#.#.####...#.##......#.#....#..##..#.##..#..###...##..#.#.####.#....#..######...#...##...#.#####.....#....#....#.#.#.#######.#.#.##.##.#.###...###..#..##..#####.####...#.###..#..#####..#..###......##...#.#.###.###.#.#.###.##.####.###.##..##.#.#.....###.##....#..#...#.#.#...#...#..##...#....##.#...#..######.####.##..######.#.###..#.#......#...#...##..#.#..#....##.###..#....#...###...#.#..#.##.#....####..##..##.###..#..#.......#####...#..#.#.##..#..#.#.##.####..####...#..##.##...#...#.######...#..#.#....##.#....##.##.#..####..##.###.##.##.#####..###.#.#......##...#.#.#.#.###..####...#.##...##..#....#.#.##..#.#...#.#..####..#.#..#.#..##.#.#...#.#.####.########..#.###.#.##.##..###....###..##.##.#.#.#.##.#.##.#.######.######.#..##.........#.#..##.##.#.#...#...#####..##.#.####....#...#...#.#######..#..##########..##..##..#....#.#.#..#..##.#####...#.##..#.#..#.....##.#.####...#..####..#.#.##...###.##############.#.....##.#.#######..###.#....#.#.##...###.#.#.#.#......#...#####.#........###.....#.#..#.#.###...##.##......#.....#.....##.#.####.###..##.......#.#.....####....##....##.##..##......##.#..###.###..#.#.####.....##.#.##.#.#####.######.#.#.#..#....#..###..#.#######.#..####.##.....#.##..#.#.##.#..#.##.##......#####...##.#.#.#..#...#...##.##..###.....###..#......###...##.####.###.##.#.##..###..#...##.##.#.###..##........##...#...#...####..#....#......#...#..#.##.#..####.#..#.#.####.##..##.#.#....####..###...#..#.#...####..###.#..####..##.#.#..#.##...##.###..#.#######....####.#.##.#..###....#.#.#..##...#..###..#.##..######.##.#####.###..#.######.#...
##.##.#.##..#####..#.###.##..#.....#.##...#.#.#####..#.#.##.....##.###.###.##.#.....#..##..#.#..##..#.#.#..####.#...#.#.####.#######..#.#.###.##.#.##.##......###....#.##...####..##..##..######....##..#.##.#...###.#..##.......###...#####....#...#.##..#..##..#..##.#####.#...##.#....###.##.#......######.#####.##....#..#..#.##...###..#..###..###.###.....##...##.#.###.##..##..##.#.#....#.##.#.#.##.##..##.##.#..##...######...#.....#....##..#..#.#.....#.#.###.#..#####..##....##.#...##..#..#.#..##.#....#..##....#######...##.##.##.####...##.##..##.#..#.#.##.#...#.#.##..###....#.#..##..#.##..#.##.#.#####.#..#..#####.##.#....#...##..#...###.##..##...#.#...#.#...#..###.##.###.###.#.#.###....#.#.......#.#.#...##..###.#.####..##...##..........##.##...#.##..#####...#.####.#....##...#.###..##..#...##.##....######..#....#..#.#.#.....#.###.#.##...#.....#..###.##.######.#..#.#.#.##...####.###.###.....########.#.###.....#..###.###..#.####.#..#.###..#...#.###..##....###....#..#.####.##.##...#.##.#####.....##...#....##..##...#####.####.#...#.#.#....#...####.#.#.###.###.###...###...#..##.########.....##.#...##...#.###..#.#....#......###...#.#####..#..#...#.#####.#.#..##..###.....#...#...###.#..###.#...###...#.##..##...#.##..##..#.#.#.###..###..#..##...#..###..#..#.#.###..#........##.#.#.#..##...#.#.###.#..###..###.####.......##..#..#.#..#..#..##.######.##..#...#..#####.##...#...##.###...#..#...#.#...###...#...#..#..#.#..#...#.#..###.#####.##.#..##..##.#.#....##.#..#..#####..#.....#..#.#....####...#.###....##.......####.#..#.##...#....#.....#..#.###..###.#..#..#.####...##.....#.....#.#...#..##..###..####.###.#.#.##.##..#...##.###...##..#.#....#.#.#####......##...####.##..#..###.#.##.#####..##.##.##....###..#.#..#..#...#####.###.#.#..#....#.##.#....#.#.####...####.#.###..#..##...##.#...#...#...#.#..#....#.#....#.##.####.##.#.#.#...##..###..###...#..#..##....###.#..#.##...##.....####...#..#..###.#...#.##..#.....#########.##..#..####..#######...##.#...###..#.#.#..#..#.##....#..#.##...###....#
.#.##....#..#..#.#.##...#..#####..##.##..##.#..###.#####.###...##..#.#.....##..####.##.##...........#..##.......#.....#....#.###..#.##.##.#.#..##.##.....#.##...##.###..##.....#.#.#.#.#.###..#.############.#..#.#....###.###...#.#....####.###..#..#..#....#...##.#.....###.....#.###.##.#..###...###.##.#......##.#.#..##...#####.....###.#.#.#...#..#####....###..##..#.#.#.#.#.#####.##.##.#...##.#...#####..###..#####.##.#..##...########.#...#..#..#..#..#.#.###..##..###..#.....#..#########...##.......##..##.#...####.####.#..#..#.##..#.##..#....##.##....#.#.#..##.#.#.###.##.#..#.#..##...#.##.####.##...#...#.###.....##..#...#..#..#####..##.#...##......#.#..##...#.....#.#.....##..#.#####.#.###..#.#.###..#.#.####.##.#..##.##....#####.#..##.#####.##.###..##.#..##..####.##.###..##.#.##.##..#.#.##....##..###..###.....##.####.##...#.#.#.#.......####.#..#...###.#..###.#..###.....#.#...####.#####...#..#...#####.....###.....#.##.#.#.#.##..#.#..#...#####..##.#..###.##.##.#..###..##...#......#....##.###.....#.##...#..#...#..###.###.##.#.###.#.####...##..#....##.#..#....###..#.#......#####..##.#.#..##.#.##..###..#............#.#.##....#..#...##.#.#.#....###....###..##.###..###..##.#.....##.####..#....#.....#.##.#.##.####.#..#.....####..###......##....##..#.####...#.#.#..#.##.##.#.#####.#......#.#..####.#.#...##.####.#####..##...#.#.#..#########......###.####.##.#.#.#.#.....#.##.#..##..##..#.#.#.######.#.###.###.....#..##.#.#...##....#..#....#...####...##.##....##.##..#....####..#...#...####..#.###...##...##...###.###..#..#.....#..#.#..##.####...##.##..##.#...###....##.#.###.#....##....#.#####.####...#...#..##..#.......##..#.###....#...#...#.####.##..#..#.#.#.####..#.#..######.##.##..#.#..##...##..#.#..#......##.##....#.#.##..##.##.#..#.#.##...##..###.#####.##.###..###..#...##..###.###.#.#.##.#..###...#.#..###..###....#####.#.#.##..#..###...###..###...##...#.#..#.##...##.####...#..#.########.###..###....##.#.#.#..#..#..#......#####....#.###.###.....#.####....##...#..##.##.#####.#.####.#..#
..##..####.#..####..##....##..##.#####...###.#.#.####.##.###..##..##.###...#######.##....##.#####....##..#..#..###.#.##.#..#...#.##.####.#.#.##.##.##.##...#..##.##..##.#..###...#..#####.#.####.#####...#..#.........#.####..####..##.##.#.#.#######..######.####.#.#..##....####..###..#......#..##.#.##.###.###...##....#.##.###.#.###.###.#.#...###.#.###.##..#.#...#.##.#.#...#.###..#.##.###..##.#...#...#....#...#.#.#......##..##.######.##.########..##.##....##..##.#.##......######.#....###.##.#.##..#...######.#.#.#####...#####..##..#....#.#......#..###..#.###.#.#..#.#.....#####...#.#.##...#.#..#...#.###.#.##..######.##..#.#......###.#.#.#......####.#..#.###.####...####...#.###.#....######..#####....#.#....#.####.#......#...#####.#.##.##..##..##.#.##.###.##.....#.##.....##..##...#####...#####.#...#####.###.#.##..##.#.#..#####.###.##.#...####..####.##...###.#.#..#.##.##.##....##...####.####.##....##....##.#...#.#..#.##..#...####..#..#.#.###..##.########.#.###.##.##.##.###..#..#..#.#..##...#.###..#..##..##..##......#.####.#..#..#.#.#.##.##.####.#.###...#..#....#....##.##...#....###...#.#######.#.#..#.###..###.#..#.....######.....#####.....##.###..##...#..###..#.#.#..#..####.#.#.#.###.########.#..#........##..###.###....#.#.###...##.#.#..##...##.######...###...#.......#.###.###.....#..###.#.###.##.#.##..##.#......#.#.###.##.####..#..#....#...####.##.###....#..#............#.#.....#####......#........#.#####.###..##.##..###........##.#..#..#.#.#...#.#.#..#...#.....#..#.#...##.##...#..#.##.#.#...#.#.....#.###..####..##....#..#..###..#.#.#.###.###..########.#.#.###.#..###.#.##..##.......###.####..####...#..#.##...#...#####..##.#.#.....#####.###....#....##..##.##...######..##...###.#....##....####.#....#.##.#...#.....#..#....#..##...###...#..##..##.#...#....#.#.#.....##.##..####....#....#.#.#..#...##.##..#....#..##...##########.##.##.####.##..#...#..##.#.#..##..#.#.##.#.####.#.#....########..#..######..#...###...###......###..#..##..##.###.#...##.##..##.#.###...###..#.#.##.#..#.##
....###.##.##..#.#####.##.....#...###....#######...#.####.......#..###..#..#...##.#.#..##..#.###.#....#..#.#.#......##.####.##.###.#.#...#.#.#.#....#...##.##..########..#......#.#..##...#..###.....####.##.#####.#.###....#..###.#######..#..#.#.#.....#.#..#..#.###..##.#.##.##...###.#..#...#.##.#..##.#.####.####..##..###...#..###..##..#.#...#...##.##.#.##...#...#..#.#.######..#...#.#...###..#..#.##.####.#.####.########.###.###.#.#####.#####..##.....##.#####..#..#.#....###...#...##.#..#.#.#.....#..####.####.#.###.##....##.##...#..#....#..#######..##.#....##.##....#.#...#.#...#..#.##...##.######..###..#...###.......#..#.#.#...#.###..#.#.#####.##..##......#..#####..#####......#.#.#####...#....#..#..##.##..#....#..##..#..#.....#..#.#.##.#.#...###.#.##.##..#####.###.####.#.#...#.......###..#.#......#.#.##..##..#.#.##.##.......#..#.##.#.......##.#..#.###..#####..##.#.###.#.#...#..##..###....#########.#..#.##.#.#...#..###.###...##.##..##....##.....#....###..#...##.#..##..#.##.#..#.##...#....###.##.#.#####..####.#.#####..####.....#....#..#.....##..####.##..##..#.###.#.##.#.#...#.###.##.#.#..######..#..###.#.##.#...#.##..#.###.#.#.##.##..#..###..###..####.#.####.#.#..#######.#...####........#.....#..##...##.#....#####..#######....#..##.###..#...#..##.####.###...#...###.....####.##..##.#.#..####.######.###.....##.#.#..#.#....#..###..###.##.##..#..#..###..#..#.#...#.##...#...##..#....##.#####..####...##.#.....#..###...#...#..#...##.#.###..#####...###..##.#..####.#....#....####......##.#.###.####.#...###.######....#..###..#..#...#.#.###.#..#.#...#.#.##...#.....#..##.#.......#.##....#.##.##.#..###.#....#####...##..#..##.####.##.#..#####..#.##...#######.##...##.####.#....#......##.###...##...##.##..##.##.#..##....#..###.#.#.##...###...##..#..##.##.###.#.#..###..###.##.........#..#.##.#..####...#........###.#...#.###.##.##.......#.##.##..#...###.##..###....#.#.#.#......#.#...##.#..###.##.....#...#.......#.###########...#....#.....#.#.....#.....#...####.####...#.#..#...#.#.#.##..##.##
.#.#..###.##.#.##..##.#....#####..#####.#..#..##...#..##.###...#.......#.######..###...#.#..###..#.####...#####.####...####..#..##.#......#......##...###.###.#.###.####.####.#####....#...#.#....#.#.#.#..#..###.#.#.........##.###.##..###.##.###..#.#.####.##...###.##.#...##...#.##.###.#..#.###.##.#.....#..#.#...#..##.#...#.#..#..##.#...##.....###.#..##...#..#....#.##..##..##.####..#.#.#...##.....##..#...#......#####..#.......###.#.#...#.#.##.#.##.##..####..#.##..#.#.......#.#######.#.....##.#.#...#.....###.#.###.#..#...#...#...######.##..##.###.###..###.#..#..#..#.###.#..#...####...#..##.##......#......#.#...##.#........###########.....#.#.####..######....##.####.##..####...#.#####..#.#..#....#.##........#....###.#.#####.#.##.##..###..##.##........#.#####...#..###.#.##..###....##...#.#...##..#.#...##.#...#..##...#...#.####...#..#..##.#####.####.#......#.#....##.....##..##..###..#.#.##.##.#..###.#.#.###..##...#.#.#####.##########...##.#...#.#.#.###........#.#######.##....#.#.#....#.#..#.#.....###.###.##.#....###.##.#.##.##..##...##..########.###.###.##..#..#.....##.#..##.#....#..##..#.##.#.##....######.#####.##..#...#..#.....#.#####...##.###.##.##..#.##.##.###..####.....#..#.#...#.##..#.....##.##....#.#.##....##..#.#..#.#.#.#.#...######...#..#.###..###...........###.#..#..#..####.#..#.##.#..#.###...##.#...#..#..###.#..#.....#.########...##..#.#.##..##.#...###...##..##.#..#..#.#..#.#..#......#####.##.#.####.##..#.####...#.#..###.##..#...#..##....#.....#.##.##.####...#.##..####.#.##..#.###...#..#..#.##.####.#..#.#.#...#.....#####.#..##.####.....###....#...######.#......###.#.##...#.#..#...##.#.#.##....##.#...........##.###..####.#.#.#.##...#....###.####.#.#..#..#.###.###..###..##...#..#...###..#.#.#.#..#..###..###.##...####.#.#.##.###.#.##...##.##...#.#..#..#.###.######.#....#.#.#.#.##..#.###.##.##.#...#####.#.....###.###.#....#...##.#.#.#######.#....##...#.......##..#..#.#.####..###.##...#...##.....#.###..##.##.####....#.#...####.##..##..#..#.###..#.#.#####.#....#......
..##.#..##.#..#...######.####..#######..##...#....#..#..#.#.###.###.#####.#...#...###.#.####.#..#.###.##.#.#....#..#.##...####...##.#.##.#..####..####.###..##........###..#....####.#..#.###..####.#.##.###.#.#..##.#..#.####...#...##.#......#..#.##.#.#.#######...##..#...##..#.#.###.###.#.#####..#..#.#.#.###.....#.###...#.##.###.#..#..#.#.#.#..#..###.##..#.#..#..#.####.##..####.####..#..#.####....#....###.###.###.##.###.##..#.#...##..##.#.##.##.##...#.#.#...##.#.#...###.#..#....#..#..####.###.##....#..#.#.#..#..#.##.##.#####.#.#.###.#...#.#.#######.#.##.##..#.#.###.#...######.####.##.####.#.#####.##.#..#...#..#...##.#..##..#...#.#####.###...###.#####...##.#...#..#...###.#####..#.##.#....##..##.#.#.#..##..#.##..#.#.#.#.##.#..#.#.#.###..##.###.#.###.##.####.##.##.#.#.#.#....####..#..###..#.#.#.#.####.##..##.#.##...#####..#..##.###.#####.##.......######...##.##.###.##...#.######..###..#...#..##.#.#####..#####..#..##.#..#.#....#.#..#.##..#....##.#..####....#..#...##..###.######..#..#..#...#..##...#..###...#..#....#########.###.#..#.##.#...#.#..#..#..#.#.####.#.#.......####...#.#.##.#.##..#.#..#.###..#.##...##.#.#...#..##.#..#..#.#.####.##.##..#......#.#..####..#.#..#.#.##.####.###.#####....#.#...#....#.....##..#.#.#.##...#.....##.#..#..#....#..#.###.####.##..##.#...#.#..#.#.####..#.#.#...#.......###...##.##......#..#..####...##.#....####.##..#...##.#.##....#.#.#.####..#####..##....###.##...##.##..#...#.#..##.###....##.##.###..#..#......#..##..#.####.##..##.#.##..#.#.##..#.#..##.....#....#.#.#.####..#..#.##..#.###.###.#..##......#.##.#..#..##.#..#..#####.#..#.##.##..###.##.##..#.######...###.#.#####.....##.#####.##..###.##.#..###.#.#.#...#.##.#..#.....##...#..#.#..##...#.##.###...#######.#...#..###.#.....#.####.##...##.#.#..#......##..#.####.#.##.....#.##.#..###.#.#...#.####..##...##...#...#.###.##.#..#...#..#.......##.###..#..#.##.#.#.....##......####..#####.#####..#..####...######..##.##..#.#####.#..#...#....####.##...##..#.#.####.####.###..##.###.#..#.###.........#.####.
##.#....#########..#....#.....#..#.....#.##..#..#######.#.#..#.#.###.#.##..#.##.#...##..##..#####..##....#####.##......#.#....#.###.###..##....##.###..##...#.#.#.#..########.#...##.#......##..#..##..#..#..###..######..#..####.####.#....###...#.###.#.#.....#.....#.##.#...............#.####.#.#......#.##.#.#.######.#...####....#.##....###....###..#.##.###...##....#...#...##...##..#....#..#..##.###.....#..####.##.###.#.##.#.#....##.##....#.......#.###.#.#......##..##......#...##.###.#.####..##.#.##..###.####.###...###......#...####...#..###.##......#.###...#.##....#...##..######..##.##....#........####....###.#####..#..#..#..####.##...##.###.#..###....###..##.#.#.....####...#.###.#.#.#####.###.#..###......##...###..#.#..#.#####.##..#.#######.###.#...###..#####..#..#...###.#.####..#.#..###.#...#.#....#.....#.#.######..##..#.#.##..#.##.#..#.#.##...#.#..#.#.#.#..##.#.##..##.....###.###..#.####.....#....#.#..###.#...#..#.#.#.##..#...#...###..#..#.######.#.#...###....#..##...###..##..#....#..##.##..##..##...##..#######.#......####.##.#.#####.#.#.#..#..######.##.#...#.....##.#.#.##.#.##..#.##.#.#######.#.####.#######.#...####.#.#####.#.#.##.#...#.###....#..#.#.##.###....#.......##.#.##...#.##.#..#####.##.####.#...#...#..##.##.##..###........###....#...#.#.###.##...#.#..#.###...#.##.###.###..##.#..##.######.####.#.#.##.#.#.#####.#.###.###.####....##.#....#..#....#.##.#..#..##....#..#.#.#.##..#..###.##..#.....#..#..#.######.#.#......###..####.##.##..#####.....##...##.##.######.....##..##..#..####.####..#####...##.###.#..#.##.#....#.....##.#.#.#..#....###..##..####.##..#...#.##...#.##..#.###..####.#.##.##..#####....#.#.#..##....#......###..#..####.#####..####..###.##..#.#.#.#..#.#.#.##..##....########.###.####...########.###.##.#..######.##..###..####.#....#.####...#....#.#######..#.##.##....####..####..####.....##..#.##.####..#......###.##...#.#####.##.##..#.##..##.##.###.##.#...........#..###....##.###...##.####.#.#..##.##.####..#.##.#.#####.#..#...####...#..#.#.#..#.##.#.#.#
..#..#.....#######.###.#...#..##...##..##.###..#......#...###.##..#....#.#####.#.##.######.#...###.###.#..##.#.....#..#.#####.##..#...#..####...#.#..#..#####..#.#....###..###..#.....#.##..#.#.###..##..#...#...#..####.....##.#........##..#.###.###....####.#.##...#..#.#..#.##.#######....#.##.#.#.######.#.##..#.###...##.####.##.####.##...#.####..####...#.##.##.###.#....##.#...#####...#.####.##.####.####.##.###.#.#.#..#.#...#...##....#..####...#..#.##......###.#..#.###..#...#...#####...###.#.#.##.##..####..###.##..#..#####..##.###.###.#..##..##.##.#.##.#.##.#..#.#..#.....#.####.#.......#.....##.#.####.##.######...##..##...##.#.###..##.#.#..#...##.##.#..#.#.#..##..#.#..#.###.#.#..##..##.#...#.##.####..#.##.##.#.##..#.##.##.###.#..#.######.##...##...#..##...##.##.###...#.##..#..#...#.##..#.#.###.##...#....#.##.#....#.####...#####.#...#...####...#..##....#....###.#.######..###.###.#.###..###.#.#.###.....#...##.###.#.##.#..#.##.###.....##.###.#...###..#..######...##.###..#.###.####.....#.##.##.###......##...##.######.#....#.##....#####....######.#...##..#..###...#..##...#..#..#.####.#..###...#..#.#.#......#.#..##..#......#.#.##.###..#.##...##.###.#.#.###..#.....#.#.#..##.###....#.#...###.##...##...#..#####.#.#..#..#.#.##....##.##.###.######.#..###...#.##....#..#....##.#..#.#.##...#..#.#.#..###..###.############.#.##.##....#..#..#..#.#.#...###..####...###.###.....##.##...#....#.#.##.####..#..####.##.......##.##...#....######....####.#.###..###..###..#.#...##.#.#.#.###.##...#.#..####...#..#..####..########...#####..#.##..#....##..####.#....#.#.....#####..##.##.##.#..#.###.....#.#.##..##.#.#.#.#..#..#.##.#..###...#.####..#..##..####..#.#.###.###...#..##.#.##.#..#..#.#.#..###...#...###.##.#.#.#..#####.##.###.#.####...#....##.##....####....#....#.###..#.#..#...#..##.#..##.###.#.###.###.##.....#.#.#.....##.###..#..#.#..#...#..#.####..#..##..####..######..#.###.#.##..##.##.#..#.#.##..##....##.....#...###.#...####..#.##..#.####...#.###......###..#.##...#####.#..####.#....##...##.##
....#.#.#.#.#..###...##.#....##.#.#....##...##.###.#...#..##......######.###.##..##......##.#.##.#.##...#.###.#......###.###.##..#.......##.#####..#...#.###......####.##.#####.###.###.##.#....##.#.#..##...#...##.##.###........#...##.#....#.##...#.##....#..###.###..#.##.#.#.#...#....###...#..#.#......######....#..#.#.#.....#...#.###...####.##.######.###.#.#..##....##.###....####..##...........####.#.#.##.#...#....#..###.###.#.....###.#.#####.#..####........##.####..####.###.#..##..#....#..##...#...#.##...#..###..###..##.##.##.##.#.#..##.#.#..#..##...####......#..#...#########.#......####...#.###.#..#.##............#.##.######.#.#.#####...###..##.#.#....##...#.###.#.....#..#..##....##.##..##.##.#....####.##.#.##.##.####.#...##......###...###.##.#.###.#.#...###.#####.##...#....####.#...#####..######...#.#.#.###.###...#.#..##.#...##.###.....#.#####.#.........####.#####..##.###.###...#....#.######.##.##.#.#..#..#.#..#.#.#.##.#..#####...######.......##.##....##.#.##....#.#.#....#..#.###..#..##.#.###.#.###.....###.#..#.##.#######..##.###.###.#..####.##..##########.#..###..#.#.###...##.##...###...##.#..##########..#..###...####.##..#.###.#.####.#..####.#....#..#.##.#.###...#.##.#...#####.##..###.#...#.##..###..#..#.#...###.#....#....#.###..##..#.##..#.##....#.#####.#.####.#.#####.#.###.#####.##.#...##....#...#...#..########..#.#..#.#........#.......#..#####...###...##.#....#######..#.###.###....##.#...####.#.#.#.##.#.#....###..##.#..#.##.#...#.##.....##....##...#..#...###.####.###...#...##.##..#...#.#...####.#.#....#.#.#.##..##..#.##.#.##.#.####..##.....#...#.#...###.#..###...#..#########.#.....##.#####..###.#.##..#....##...#.##...###.#.#######.#...#....#.#.##.###.#.####.#.##.##....##.....##.###.##.##...#.#######.#.#.#####.##.#.#.##...#......#.#.#..###..#.####.###....###..#.##.......#...#...####....#######.###.##.##..##..#.##....##..#..##.##.#.####..##.####..##.#########.#..###.##..#.#..#.##..#..##.#..#...#....#..#....######...#..#.####...#.#.#..#..#..#.######.#.####..#....
###.#...#......#.#.##..#..#..#.#.#####.##....##.###.##.###.#...#....#..###.#..#.##..##.#.#.#.#.##.######....##...##.###..###.#..#.#...##.###....#.#.##...###.##..###.##.#.##..#....###.##.####...#######..#.#.#.###......###..#.##..#.##.##......#.#.###.#.#..#.###.#...##..####.####.#.#..#..##.#.....#...##..#.#...#..####.###.#..#..#.#.###..#...#.....##.#.#.#.#.#.#.......#.##.##.#.#.##.....#####.##..#.#..#.#...#.##...#.#..##.#.#...#.#...#....#######.###.##...##.....#.##..#.####.###..##..#.###....##.#..#.#...#.#...#.#.#.###....##.#.######..##..##.##.#..#........#....##.##.#####...##.#..###.##..#....#..##.#..###.#.......#.###.###..#...#.###.##.#####.#..###....#.##...##..#.#.##.#.#..#.####..##.#..#...#....##..###.###..###..#.##.#..###.##.####.##.##.###..#.#.#..#####.#.#.###...#.#..#..#.##...##.##.##...####.#.##..#.#.#.##....#.###...###.###..#.###...##.#........##.##.#.........#....##.##..#.#.######..#........#...##..#..#..###.##.##.##.###.....####.#######.##...#######.##..####.#..#.#.#.##...#.####.#.##..#.###.##.#.##..##......##.#.#.#..#.#.#.#.#.#..#####.###.#.######.##.####...##.##..##.####.##.###.#..................####..#..#.#.##.#.#.#..##...#.##...#####..#.#...##.#.#.####..##..#..###...#....###..###.##.####.####...#########..##...#.##.#.########.##.#..#.##..#.###########..##.#....###..##.##.#..#.....#..#.#...#.####.#.#.##..#..##...#..###...###.#.##.#...#....##..#....###...##.###...#..###.#..##.#.##.##.##.#.###.#.#.###.#..##.##.##...#..####..##..###.#.####.#..#.......###.##....##.#..#.#...##..#.##...#.#..##.##.#..#.##.###.....#..##...#......#..##...###.#...###...##..##.#..#..##..#.##..###...#..##..#.#....#..##.##.......#######..#.###...#...##......#.#........#####.#.......#.#.###..#.#.#.####.#.#..##.###.#...###.....#.#.#..#..###.#.........###..###..####.#####.#.#.#######.##..#.##..##.##.....######.#..#.#.#....######..#.....#..#.#####.##.###.#...####.##..#.#.##....##...#.#.#.#..#....#.##.....##..####.#...#..#.#####...##..#.##.#...#.##..##..#.##...##....#.........#....#.####
#.....#..#..#.#..##....##.#..##..####..#.##.####.##..##..#....#..####.##..#.#..###.#.#.#.#.#...##.##...#.#...#..##.#.....#######.##......#...##...#...#.#..##..#.###.#..##..#.#.#..#....#.###.#.#.#.....#...##.##.##...#.....#.#..#.###.#....#....#......#.#.#.##.#......###...#.#.####.#.#######.##.##.###.####.#..#.##.#.#..#.#.##.###.#...##...#.#.#####.####.#....###.###.....#..#.####.####.#..#..##.....#.......#..#.#..#....#..##..###.#.##.##...#.##..#.#.#.##..###.#######.....#...##..##...#..##.######..##.###..#..###.#.##.#.#.###...#.###.##.##..#.##.##.###..#######.#.##..#.###.....#.#..#..#.#.#..#.##...########...#.######..##.#...##.....###..##..#...##.....####....##..#.#####.###..#.######.##.#.##.##..#####...#.....#.#....##..#..#..####....#....###.##.#.#..##.#.#.##.#.##..#...##....##.####....##..#..#..###....#...##..##.#..#.#.##.#.#.###...#.###..###.....####..###.#.###..######.#.####..#..#..#.##...#.#......####..#..#...#.###..#.###.###..##.#.##..#####..####.....####.#.##.#..#.###.#..#.#.#..####....#######.#####....#.#.##...##.#.#.#.####...#..###.##..#..##.#####..##.##...#.....####.#.#.#...#.##...##...##.###.#.##.##.###.#..#...#.#.#.#.....#.##....#..#.....#.####......#..#.#.#.#..##..#.#####..#.##.#.#..##.#.##.##.#.#.###.#......#.##.#.#######.#######..####..#.#.####.##....##.#.##...####....##....#.#.##...#.###.#.##.#.##...##..#.##...##....####..#.#.###...#.#######..##..###...#..###..#..#....#.###.###.#.#..###..#.....##..#....##.#.#.#.##...###.#.#####.......##.####.#.##...###.#.#...##.#......##.#....###.##.#.##....#.#..##.....####..###..#..##.##..##..##..##..#.##.#.##.##.#.......#..##.###.#####.##.##..#..#####..#.##.#...#...####.#.#.##.#.#...######.###.##.##.##.####..#.#.#.#..##.#.#...#...##..###..#.#...#.#...###.........#.########..##.#...#.........#....#.###.#.###.####.####.#.....#.##.####.#.#.##..#.#####.#..#.######.###.#..###..#...##.##..#.##...##.#.###..####.#.#.###.#..##..###...##...#.##...##.#.##..###.##.....###.###..#.##....####.#.#..#.#....###..#####.#.##.###.####.#..
.#.#..##.......####...#..##.##...##....#....####...##.#.####..#..##......##.#..#..##.######...#.#.##..#..#.#.#.##.#....#..######.##...#.###.##.####...###.#...#####..##..#.#...#..##....##.###.#.#..#.#...#....##.###.####.#..###.###..#..#..#.##...#..##...#.#.......#.#.#.#.#####..#######...##..######.#....##...#..#...##...#####.#####....##........#.###.#.#....#.#..#.#.#.###...##.####.#.###..#.#####.###.#.##.#...#..##..#####...#.......##...#.####.#.#.###...#..##.#.#.###.##.#......##.##..####.#.#.....#.#..#.........#.#..###.####.##..####.#####.##.##.##.##.##.#...##.#..##..##....##.##....#...#..##.#.##.##.#.#...##....####...#..#.##.##.##..#####..###..#.......#.##.#.##.##....##...#..###.#.########..####.....###.#...####.#....######......#.##....#...#.#.###.#...###.#.#.#.#..#..#....##..##.#....##.######..#.###...#..#..##........##...#..####.#.#..###.##.#.#.###.##.#.#.#..#...##.#.##.###.#.#.##.#.##.#.#...#...#.###......##.##....#..###...###.#.#.#..####.##....##..#..#..#......###.##.....#..#......######..####....#.#..###...#...###.#.....###.#..##...##.###.####.#.#.#.#..#####..##.#...#...#..#.#....##....#...#.#...#..#....######.#####....#.##.####.###..###.......#.#......#.##..#..#.#.#.#...#..#.##..###.#....#...####.#..###.#..###.##..#.#.....#####.########.##.#...###..#.#####.......##.#.#.#.#..#.##....##..#..##.#.#####..##.#..#..#..###..##.##....#.##....#.##..##.###..#.###.##.#...###....##..#..##..####.######.....##......####..##..##..#...#####.###.####..#..#.#.......#...#.#..#.##.#.#..##..#.##...#.#####...#####.###.....##..##.##......##..#....##.#.....#.#..##..###.#...##.#.#..#.#.##.#..##.#.#...###.#.####.##.#.##.###.####.######.####.###.##..###.#...#.##...###.###..##.####..#..#.#.######.#..####.#.##.###...###..##.#.###..#..##.#..##.#.####..####.#.....###.#.#.#####.......#.##..####.#..#..#..##........##.#.##.#.##.#...##..###.#.....#..#....#....#..#.#.#..###.###.....#..######..#####.###..##.#.##..#.#.##.##..##.#..###...##....###.##.##...###.#...#.#.####.#.##..#..#....###.....##.
.#..#...############..#.##....#.#..#.##.....#..##.##..#....##.##...##.....#...##..###....##..##.####.#.#.######.....##.#.#.#####.......###...###..#....#######.##.#..#######.#.##.##.#.#........#.#..#..####.#...#......#.###.#.#..#.#..#..#.#.###.#.###...##.......##..###.#.###.#...####..........####..###.####.....#....##.#..##.##.....#..#####.###.#..#.##..##...##...##.#..#.#########.#..#.#####..###.#.#..###.####.#..##...####..#.#..##...#.#.##..#....##..#..#...#...#..#######.##..#..#.####...#.##.#..##..####..#.#......########...#..#......###....###.#..###.###.###...#.##.###.#..#.###.#...#####.##.....#.#.#.#.#.#..#.##...#......#.#.#..#######.##..#####..#.#.#...###.##.#.######.#.#....###.#.....#..#..###.#..##.#...#..#....#.#.######.####....#.###...#.#.#.##.#...##.....#.###.#.......##...##.##.#.#.#.##.###.######...###.##..#.##..#.#....##.#..#.#.#.##...###.#..#....##.#.######....#..##.#...#....#....#.......###.##.#...##..#...#..##...##.....#.#.#.####..##.##.......##..#..#....#.##.###...##.#....##.#..#.#..####..##.#....#..##.##.#.###..#......##...#.##.#.#.##..#...#####..##....####.##.#...#......#.##......#.#...##.#.#...######.#.#.....#.##.#..#.#..#.###.#.##.....#...###.###..####.#.#..##.##.#....###....#.#.####..#.#..#..#..##.##.##.##.######..#....#.#....##.###.##.#.....###.###.##.#.....#..#...#.#..####.####.##.#.#..#.#.#........#.#.##.#####.#.#.##..##..##.##.#...#....###....##...#.####.##...####..##...#..#..###.....##..#....#...#..#....##.....###...#.#.#..##.#....#.#.#....######...##.##......##..##.#.#...####.#.#.#.#....#.##..#..###.#.#..##....#.##.#.##.#.#..##...#.###.#.#...####.##.###.#........#..###..##.....##.#..#....#..#.##.#...#.#.#.###.#######.#.########..##.######.#.#.##..#...#...#.##.#####.######..##.##...##...#.#..#..##...##.#..#..##.....#.....#..#..##.###..#...##..#.....#.#....#.######...#.####.#.##..##..#..####.#.#....#.....#.##.#.###..###.#..##.#...#..#.###.##..#......###.###.#.#.#.#.....##..##......#.#.##...#.#..##..#.##..#...#.#..#####....######...#.#..#..#.#.#
#.#..####.....#....#.##...#.##.#.#.#########....####..#.#..#...#.##.###.#####.#####.##..#.#.####..#...##...##..##.###..###.###.###..#.####..##...##..##..#.##..#...##.......#.##...#.##.#...#.#.#.##.##.######..###.###..##.##.##.....#.....##.#.######......###.#..##....##....#.##.#....#...#.#######.#.#.##....#.......###.#...###.####..##....#..##..#....##.###.####.##.....#####.#..##.###.##.###......##..###....##..#..####..#.....#.#.....#.#.###.#.#.#.......####.##.###.####.#.######.####.#..###..#.####.#.....##.##.#..###........#......###..##..###.###.#...##..##.#.....##...###.#.#.#.###.#.##.#.###...#....###..##....##......#...#....#...#..#..####...#####..#.##.##..#######...##..###.#.##..###.#########..#.....#####..#.#####..#####...###.#####....###......###.##..##.##....###.#.#.###..#.##.#.#...#...##.#.#...##.#..##..####.##...#.##.....##.###.###..##.#....##.#.#####.#.#....##..#.#.#.##.####..#..###.....#.####..##.#.#..#...#...####.###.#..#.#.#.#.##.#.###.##.###.##.#..##.#.#..####.#..###.#..#..#.##...#.#.##.#.#..##.#....#.#..#.#..###.#.##.#..#..#####.....#.....#..##..###.#....#..#####...###..#...####..###..####..#..#.#####.####...###...#...##.#.##.##...#.#.#.#.##..#.###.##.##...##..#.##..###.##.#...........#.#####.#...#####.####.##.####..#.#.###.##.##...##..#..#.##......#.##.#####..##..#..##.#######.####.#..#..##.##....#..#..##.###..##.#.##.##..##..###.##.#..#.##.#.#.##......##....#.#..##.##.#.###..####.....##..##.#########.#.#....###..#...#.###.#..##...#.#.#.....#...#.######......###..#.....#..#..#..##...#.#.#.#..###.#...#..#.##.###.#..####....#...##.#.###..##...###.#..##....##...######.#.##..#.#..#....####.#.....##..####.####..######.###.####.###..######......#.#####.#######.##..###....###..##.###.##..#..#######..#..#..##....#.#.####..##.##.#...#....#.####.#..#..##..##.###.#.###.#.#......#..####.#.##.###.###..####....#...##.#.##.#..#.###.###.####.##..#....##.#..#.#..##..####.###.#.##...##.....#####.##.#..#..#####.#.#...######.#########..###.####..###..#.##..#####.#######.#
..#####.######..###...##.#.#..##.#.....##.##..#.#....##......#.#.#.###.##...#.###.##..##.#.......#.###..#.#.#####.#..####..#.#....#.#..####....#....#....##.#.#..######.#.##.##.###.#.#..#.##.....#.#.######..#.#.#..##.#..#.##..#...##......####.#.#..#..##..#.#.##.####..######....#####.##..###.#....##.##...#.#.#.##..###.#.....##..#.#.#######..#...#....####.#.##..###.....#####.###.####...##.#.#..#..##...#.#####..####..#.#....#..##..#.#.###.#.#########..##...#.##.#.###.#.###...##..#.....#.#.###..#..####.##..##..#....####.###.......#.#.###.##.#.#...#..##.#.##.#.#...###...#.###.#..###.###.#..#..##.....#......##.#...#..#..#..#.##..#.#..#.......###..#.##.#.#..##.#.#...###.###.......##..#.##..#..##...##..#..##..#....#.#.##.#...##...###...####..#..#.#.###.###.##.##..#.###.##.##.##.#.#.####..####...###.#..##........#.##.##.#.##...###...#####....#.##.#.#...##..#.####..#####.#..#...#....#..###.#.#..##..###.#####.#..####..#####..#.##..##..###..##.#..#.#..#.#..#####...##.#....#.##.#..##.#..#...####....#...##.#....##..#######..#....#.##...##....##....#.###......#####.###.#....#.######..##.#..##.#.#########.##..##..##..#.####..##.##...###..#.######...#..#...####.#####...#..#..#..###.##..#.###..####.#..##..#.#.#####.##..#...######.#..###..##.##.#..#..#..#..##.####.....##....##.##.#..#...#.#..##.####...#.####.###...##.##..#.#.##..#.#.##.##...#...#...#....#....#..#.##.....#.##..##.#..####..#...##..##...#..#..#.##.#..#....#.#..#.#..#####...#.###...######...#.##.#...#..#.#...#..####.#.##..##......###.#.##..#.#.##..#......##....#.##.##.###..###########..###..#...##.##.##.##.#.#..#######.##...#.#.##..#.#.##.#..##.#.#...#.####.#.###.###...#.#.....###...###..######...#..#...#..###.###..##...##.####..##........#.##..#..##...##...#...#.#####.###.#...##.#.####.##....##.##.#...#.###..#.##.##..#.#....#.#..#....#.......###.#..#..##.#.##....##.#.###..#.#.#####......####.#.##...#.##.##...#..##.#.#.#.#####.#####..##.#..##..#..##...#####.##.#.......#.#.#..######..##.###..####.#####.#..##.##.#.####.#...#
.############.......##.#.#.#....##.#....####.######.#.#...###....#......#..####..#..#####.#.#...#.###.#..#..####...#####...##...##..###...##.##......####.#..#####..#..#......#.#....#.###.###.#...##..####..#...##....##........#.###....#..#...#####.#####.##.####.###...###..#..#.###..####...#.#.#...##.##.#####.#..####...#.#.#.###.#..#.#####.##....##..##.##...#.##....#...#.###..#..##.###..##..#.#...##.#.##.#################..##.#.#..#####.#.#.#####..#.#.#.#.##.#..#.#..##.###.##.#.##....#.###...##..#..#..##.#.####.########.###.#...#.#.#....####...#.#...#.#...##.##..#...#.......#.#..#...###.....####....#..###..#....#..#.....#..##.###.###..##.##..###.....#....####...####....####..#####...###...#.....#.######.##.#..###......##..##..........#..####...###..#...#####.#.#.##..#.##.#.########...#.#..###...#.#..#..#.###.##.#..#.##.##..#.#.###....#.####.#....##.#.....#..##..##.....##....#.#.#.##...#...#.##.##.##..##..###.####.####....###.##...#.#..#......#.#...##.#...##.#..##.#.###.##.......###..#......#...#.....#......##.###..##.#..#...#...#...#.###...#..#.###.###.##.######....#..#.....######..##.##..#######.########..#.##.##.###.#.###.####...#.#..#.....######...#.#.####..#..##..##...#.#..#.###.##.####...##...##...##..#....###...#.#.##.#.#.####....##.#.....#.##.###########.#.##..####..##.#####..####.#.#....####.###...#...#.#.###..####.#####...#.....#...#..#####......#..#.###..#####..##..#.###.#.#.#.#..###.###.#.######..#.#.##..####....##..##...###..##.#.....#...#.#..#...##.##.#..#....#.##.###....######...#.#.##...##.#.##...#.....#...###.#.#.####.#..###.####....###....#.###...#.#.##.#.####.#.#.###.#.#..#.#####....#.#.#.#..######.#...#..##.....#..#.#.#.#.#.#...######.#..#..##.#.#...#.####....#.#...##.#####....#..#.....#.....###.###.#.#.###.##.###.#..#...#.#####.##..###.##.#.#.##....#####....##.###...##.#.#.#..##.#..#......#.#..##.######.#.###.#..######.###..#..#....#.##..#.#....###....###.#...##.#..########.#..##.#...#.##.###.#..##.....##..##.#.#..#.#.##.#.##.##....#.......##.###.#
#..#.#.####...#..#.#.#.##.##..##..###.#..##.#...####..###..#.##...##.....#.##.#.#...##.#.##.##..#.#.#.#.#.#..#....#..#.###.###...####.#.###........#..#..##....#..#.#.#...#.....##...#...##.#.##..#####.#.#.###.#######..##.########.#.##..#.#....####...###..##.##...#..##.#.##.#.###.#####.##..#...##....###..#..##.#.#.######..####..#....#.##..####....#......#...#..##.#####.#...##.#.#.##....##.#####...######.....#.###.#.#####.#....#.#.....#####....#.#....######.....##..#.##...#..####.######.#.##.#.#.##.#...##.##.#...#...#..####...#..#...##.###.##..#####.##.#########..#.#....#.#.........####.#...###.#.##.###..##.#.##.####...#...####..#...###......#..##.#..#.##.##..#.##.#####..##...###....#...#...#.##.#.#######..#.##..#######.#...##.####.##.#..#.###.#..#...####.#.#...#..#.##.#....#.#...##....#.##.#.#.#.#####..#....#.#.###.##.#...#.........##.#.....##.#..#....#...##..#.#####.##.#####.#....#...#..#.....##.###..###.#.###.#..#.###.#..##.#####...##...#..###.###.####.#..#..###..##...##.#.###.#....##.#..#...#.##.###.##....##....#.#..###.#.#.####....#.#######....#.#.####.#..#...#..##.#..##.#.#.......#..#.###.#..##.#....#..#..####.#########..#.....#..#.......#..####.#.##..#.#.###.###.#.#.##..#..##.#...###..###..#.##..##..####..#...#.....##.###....##..#..##..##.#..#####.#..#.#.#..#..###..###.#.......#.#..#.#..####.####..#.#####..#...##.##.......#.#####.####.#.#####...#.#.......#.#..######..###..#.#..##...#.####..#.##.......#..##.#....##..##.#.#..#.##.##..#..#...#...##.#.#..#.#.##.#...#.#.##...#...#..####.......#......#.####.#.##.#.#...##.#.#..#.##.##.##.#######..###.#...#.......#.##...##....###...####.##..##...###.##....##.######.####...#...###.##..#.##..##########..##.##.##..#.......#.#..#...##.#.####.##..#...##..###.##..#.#.##.##..#.##.##......###.####....#.#.#..###...##..###.####.#.....#....####....#.####.####.##..##..###..##..#####..#....#......#..#######.#......####.#.###.....##..#..###...##.######..###.####.#..#.#.#...#.#.##.#...#.....#.##.##..###.##..##.#.#.#...#.#...##.###..##
.....#..###.##..##.##..#.#...##.#.#.....#.....#####....#####.###..###..##..#.#.##..##.#.#.##..#....#...######.....#.##.#.##.....#..#.#.#..######...##.#########..#.##..#.....###......#####.##.##.####.#.##..##....#########..####..#.#......#.###.##..#.####..####.###..........#.##.....#..#..#.#.##.#..#.###.###.#..##.###.#.###...####.#####.#.#.#.####.#.####.#.#.#.####..##...#.##...######.....#.#.#.##.#..##..#....#........#..##...#...##..###.###...#.#..#####...#.#...###..#.###.##...#.#....#.#..##.##.#.####.###.......##....#...#..#..##.##.##...###..##..#.#.##.##..###..#.#..#..##.##.#..####.#.##.##.#....#.##...##.#.###.##..###.....#....#.######.##.####.####..#...##.#.##.#.#.#.....#####.#..#######...#..####..#....###...#####.#..##.....###....#.##..##.###..##.#.##.#####....####..####.##..#.####.#..#...#####..#.#.#.#.###.......#.##.##..##..##.#.###.####......#.##.###.#...#....#.###..#..###....#.#.##..#..#......#.#.##.#.#..#.###.######..##.#######.##..#....#.#..#..###.##...#.##..#####..####..#######...#...##...#.#...#....#######.#.....##....#.#...#..###..#.##...###.###.#..###..#####.###...####..#.#..#...##.....#.#######.#.######..#######.###.........#.##.####.######.##.#.###..#.##..#.#..#....###...###.##..#..#...##...###.#.#.##...#####..##.#.###..##.#.##...#...######..#.#..###.#.#..#..##....#..##....##.##..###...#.....##.#...###.#..#.#.....#.....#.##..#...##.###..#.#....########.#####.#..#####.##.#.#.#.#.###.......##.#....#...#...###.###....#.####..#.#...#..##...####...#.###.##.....#...#...#.##.#.#.#...##....#.#..###.#.#...###...#........#..##.#...####.#.#..###..###...#.##.###.....######.##..#.#.#...#.#..####.#####.##..#..#.##....##.#####...##..#.#.#.##.#..#.##...###.###....#....#####.##...###...##...#..#........#..#.#.###.##.#..#.##....##....####.#.####..#..#..#......###.###.#...#..###..#.#.##.#.#.#.#.##....######..##..#......####.##.#...#####.###....####.###.#.#..#..#.#.###....###..#......#.#............##.##.#.##.##..#.#.#.##...####..#.###.###..#..#....#......#...##..#...###
###..#..#.##...###.#####..#.##...#######.....#...####...#.##############..#.....###...##..#..###..#.####..#.##.#.###..##...###....###..##.##..#...#..##.#.######...#...#..##...#.....#.#.......#.#.#.......#.##.####..#.##..#..###...##.#..###..#####.##.##.#...##..##..#..#.####.####.####.......#.##...###....##..##.#.#.#.##....#####.#..##..####.#.#..###.##.......#..#.#.#.#####.#.##...##.###...#....###.#....#.#.#.....#...#######.#....#.###.##..#.###.#####.#.##..#..##.#..#..#.####.###....#.#.##.#...#.....##.#.###...##.##..#..#..#...#####.#..##..####.#.#...#..###..##.####...#...#.#...#########...#.#####....###..##..#####.##.####...#.#.##.#.####.#..#.#..##....#.####.#...##.###..##.##...##.##.#.###....#...##.#....##..#...###.#.##..#.#.#...#..#..#.##.###....#..###...#.#.##..####.#...###.#..#.####..#####...#.#.#....#.#...#......##.#..#.###...#.###...#...#.#..#.......##.#....##.#.#..###..##.....###..#...####..##..#.#.#..##..#######.#.#..##.#..##.#.#....##..#.#.##....#...###..###.##....#...#...##.#.##.#.##.##.###.##.#..##.####.#..###..#.##.##..##.##.#####..#..#.#.#..#..###.##.###.####.##.#....#..######.#.##.#.#######..#..##.....###.#...##....####....#.##.....#.......#..###..######....##.##..#.##..##.#..###.####.#...#.....####.##..#.###.#..#..###.#....#..#.##.######...#..#....#...##..###..##..#.#..##....####...######..##.#.#.########.#..#####...###.#..##.#..#####.#..##.###.#.##...###.....#....######..#.#.#..#..###.##...#.#..###.#.#.##.#..#....##.........##..###......##.##.#...######.#.....###..#..###.#...##.###.##.#...####.####.#.#.##....##.#.#..#...##.##.#..###.##...#...####.#.#..#.####.#..##..##..#.#..##..#######..#..#...##.#.##.#######.#.#..###.#####...##..#####...##.##...#...##.#....############....#.##..##..#..######.####.###..#.##....####.#..#.####.....#..#.#.#..####...#.#.#.#..#..#.#.....###.#.#..#.....###.#.#.#####...#..##....#.#.##.##.#.#.....#.##.####...#...#.###....#..#.....#.#...##..####.###..##.###.#..#.........##.#####...#..##.#..##..#.###.##.#.##.##....##.......###.#
.##...###.###.#.##.##..#.#.##..###..##...##.#.####.#.##.#.#..###..#.#..#....#....#.#.##...#...##########.###....#..#.#.#.#.#####.....##.##.##.####.#.##.#.#.##..#.##.##...##.....#######..#..###....###..#.#...##...###...#......#..#...#.###.#.#.##.#.###.##.####.###.#..##.#####..##..#####....#.###.#...###..##.##..##.#.##.....#.##.#.##..#..###.#.##.#.##..####..##........#.#.....#.####..#.#..##.#.##...#..#.##...####..#.###.##.####...#...#..#...#...#.....#.##...##.##...#.######.....#.#.##...#.###.#...#.#....#####.#....#.#.#.##..###....#..#.####.#.....##..#..#.#.##....#..##...###.######...#....#.######..#..###..#....##..#.##..###.##.#.##.#.....##.###....##.#.#...#..##..#.###..######.##.#.........###..####.#..##.....###.#..#........##...####...####..##..#####.#...#########....####.....#.###..###..####.###...###.####.##.##..#.#...##..#...##...##.##..#.##..####....#.....#.#..##..#....#.##...#..##.#.#.##..##...#.#.###....##.....#######.......##.#.#....##.##.#.#.#..####.##...###.#.#...#...####.##....#....#.#.#.#.#.#..#...####.##...#.#.####..##..###.###.......#.#.#..##.##.#.#.###.######.####..#####..####..#...#####..###..###.#.....#..#..#.###..##..##...##.####.####...###...#..#..##.#.##...#...##.#.##.#.####..#...##....##.....#.#..#.....###.#...##...###..#####.....##.###.#.#...##.####.##..#...##...#..#.#.##.##..#.#...##..#.#....###.######....#...#.#..#....#..#.####.##...#.#...#####.#####.##.#.##..#...#.#.##.....#..##.#.#.#..##.....#..##.#..#.##...##.####..######.#.....#.....##.#.#..#.##.##.#..####..#.#.#...##.......##...#.##.#..#..####.##.##..#.##.#..###.###..#.###.####....#.#.#.##.##.....#.#..##.##.####.......##..###.#.###...##..#.##.##...#.#...#..#............##.##.#.##....##..#.####.#.##....#.#.#...#...#########.#...#.##.#.##....###..####...##...###...#.....#.##..##.#..#.####...#.#..#.#.###...#..###...##..#..##..#....#.#..########..#.#.######...########..#.#..#...##.......#.##.#.##.##......#..#....#...####.##.#.#..#..##..#.#.#.#.....##....#..#####.#.#####.#.##..#..#.####.###.#.
#.#.#.#..#....#.#.##..#.##..#..#.#.#....##.##.####.#####..#.#####......###...#.###..#...#....####....#.#...##...##.#....#..#.#.##....#.##.#.....#...#.###..#.##.#.#...####....######.###..#..##.######.#.##.##..##.#####.#.##.##......#...#.#...##.#.#..#..#..##.##....#..#.#....#.##.##..####.#..##..###..####......#...###.#.##..##.#....#.#.......#....#####..##..##.##...#..#.#....###.............##.#.#..#.#.#.###..######.#.####.#..##....##.#..###.##.####.##.#..#..##..####.###....#.###.#.##..#.#.######..#..###..#.#..#.#.#....#..#.#####.#.##.##.##...........###.......##..#..#...##....##.####.#.##..##.##.#.##......#.#..#####......###..###.#.###.#.##...#.#.....##....#.#.##..#.#..#.####.##.#...#..###...#..#..###.#.##.#...#.#..##.#####.#..####.##..#..##.#.##.#.#..#.#...#..########.....###..#...#######.####..#..#.#...##.....##.#.####..#......##.##..###.###.#..###.######.#.#...##...##..#...#.####.#.#.#.##...#....###.##.#..#.#..####.##..###.#..###.#..######....#.....##..#.#####.##.#.##..#...#.#.#..#...#.#.##.#..##.#.#.#.##.###.##...##.##.##......#.###..##########..####..######.#..#....#.##.###.....###.#.#...###.#....#.#.#.#..#..#..##.###..#.##.#...##...#.#.####.##.#...#...#..#.#.#..#.#.#...##..##.#.####.##.#.#.##..#.###...#.#..#...###.#.#.##.####.#.##.##...#....###....#......####..#..#......#.....#..###.#...##.###.###.####.....###.##########......#..####.#..#.....#####...###.....####.#...##..#..#.##..#.#.#.##.####...#..##.##.#....##..##...###.###....##.##.#####.#.#..##....#..#....#######.###.#.#.######...#.....#..###.###..#.#..##.#...#.###.#.###.#.##....#.#..###.......#.#...#####.##..#...#..###..##...#.##.#.###....##.##.###.#...##.#.###...#.##.#.#.#.#.##.#....#...#.#.####...###.####.#...#.#...#...##..#.#.###..#.##.##.#...###.###.#####.....##..##..##....#.#.#..#.#.#####...############.....#.#..###..#.##..#.#.#####..#.#..##....###....#.#.##.##.###.#.#..#.#.##..####....#..#..##.##..##...#.#.##.#.#.#...#####.#..##..#....#.##.##.#..#...#..#...#######...#####.#.###.....#.#.#####......#...
..#.#..#.#..#.###.##.##.#...#....#.....#...####.#.##....#.......#.#..##.....#..###.##.....##.#.##.#.##.#.############...####...###....###...##..##..#..#.##.#..##..#..#..##.#..##.##.##...##...#..#.#.#.#.##..#.#.#.#.#...####.#.###..#####.##.######..###..#.#..#.##.###...#####.#..#.#.#.#.##.#####....###########....##.##.##.###.###....###.#.#.##...##.#..#..#.#.###.##.#....###..##.......#..###..#.###....##.#.#...##.##..#.#####.#...#.#.#.##.#..####..##.#..#######...#####.#.#.###..#.......#.####.##.#.#.##..#.##..#.....#.###.#.###.####....##.#..###...#.##..####......#.....####.##..###.....#....###.##.#...##.##.####.#.##..####.#.###.####..####.######.#...##.#.#.#.#.#.#.#.##..##.##.##...###.......##..#.###..##....##....###......#.###.####..#..##...#.####..#...#.####.#..####.##.#...##..#####.#.###.##...##.#####.#.##.#######.##.#.#...########.####.#..#..###..##.#..##.#...#.##.###.#..######....####.##..##.#.....#.#...##.#.#...#.#....########..###.........#..###..##...#......##.#.#.#.#...#.##.#..#..###...#####.....#.##..###..#.#.#.#.#.#.###.#...#.#.####.#...#...###...##...##.###.##..#..##.#.#.######.#..#.#..#.##.#######.#..#.#.#.....######.##.#......##.#.#..#.##..##..#..###.##.#.#.....#.#..#.#..#.##.#..#.#...#.##.###....#.###.#####..##.###.#.#..#..#........##..#.....###...######.###..###.....###.#.#....######.##.#######....#.####.#.##..###.###.#..###..#...#..#...###.##.....##.....##...#......##.####.#.####.#..#######......###.##.##....#.#..##......##.####..#...##.########...##...#####.##..#.#..##.###..##.#.....#..#.##.........###.##.#.#...##...#.#...#..##..#..#..#...##..##...#.###........#..#....#......#.##.####..###.##..#..####.##..#######...#####.#.##.##.#..#...#...##...##..###..#.#...#..########..#..##..#.....#.#..#.####.#.#.##..#.#.##.......#.#####.######...#####....##.#..#..##..##.#.##..#.#.###......######...#...#...#.###.####......####.#.###..###...#.###.#.#####......#.######..#..#.#.##.#..#..#######..##..###.####..####..###.#.######...###.##.###.##.####.##..###.....##.###..
#.#....##.#.###.####.#.#.#.#.#.##..#.##...####..#.#.##.##....####.#.#######...####..##..##.....###....#.####..##.#.#.#.#....##...##.#.##....##.#...#..##.#..#....#.....###..#####.........#.###..#..#...#..###.#.....#.#..##..#.##....#...#...#....#...###.#.#..##.#.###..##.#..#..###......#..###.###.##.##.##.#..#.##.#.#.##.##.####..#.##..#.####.#####...##..##.#.#.#..##..##.#.#.#.#####..#.####.#..##..#....###..#.#......#..####.#.#..#..##..#########.#..##....#....#.......###..#..#.#.#.###......#.#...####.........#.#..#..#....###.#.........#...#..###..#..###...#.##..#####.....##...#.#.##.##...##.##.##.#.#..#.#.##.##....#.#.#..##.###.#.#.##.##...#..##.#.....#..###..#..######.###..####...#.#.##.########....##......#....###.....#..##.#.#...#.#####.#......#..#####...#.#.##..##..#...##..####.#..#..###.##...###...####..##..#...########.###.#...##..##.#.#..#..#.....#.###.#.##.##.#.#...##..###...##.#...#...#.#.####...#...#.##.##..#....#..#.#.##...#.#...####.#.##..#.######...#..#.#.###..##...##.#....##..#.##.####...##..###########.#..###.##.#.#.#..###....##.....#...#...#.##.###.#.####.#.#.##..#.######...##.#..#...#...#.##.##....#..#.####..#.#...##.#.######.##..#.##..#.######.#...###.##.##.#..####....###.#.#..#..#..###....##.#......##.##.#####..#######.....#.####.#...##.#.###..###.##.#...##..##.##...###.##.##....#.#..###..#..####...###..###...#....#####.#.#.#...##.#......#.#....####.#...###....#.######..####........#.#.#.......##.#.#..####.#....##.#...#######..#..#...#####.####.#..##......#.###.###..##..##...##..##.###...###..#.##..##..#..####.#..###..........##....##......####.##.#.#.#...###.#...#.#....##.###..#.#.#####..##..###...#.##....#..##.###..#..####.#.##.##..##..#.#.#..#.#....#.##.##.#.#.##.##..##..#.####.##.#.#.#.#.###.....#.#..#####....######..#..##.#..##.....##.#.##.#.#.##.......##.#####...##..#.####.####....#.#.....#.###....#..##...##.#.......#.#.##.#.#.#.###.....#.##.#.###...#..##.###.#.####.#.#..##...#...##.#####.###..###.#....####.#..###...####.#..#.##.#.#..###.####.##
#.##..##...#..##.##.##...########..###.....#.#....#..###...####..#..##.####.##..#...#.......###.#.#...##..#.####.##....#.####....##.##..#..####.##.#.......#.#.###.#.#..##..######.#..##.#######...###.#....##.####.##.####..##..#.#.########.#..##......##.....#########.#..##.#####.......#....#.#..#.##.#....##.....###.#..#.#.###.##.##..######...#.#...#..##.##.#....#.....###...#..#.###..###...#.#.......####.#.##..#.##....#####.#.....#.#...##.#####.####.####..##..#...######.###.#...#..####..###.###..########.###.......###..#..###.##....######.####..#..###...####.#.##.###.#.#..#...#.#.##...#...##..##..###.#...#...#.###...##..######..###.##..###.#.#..#.#..##..####...###.#.##.#..##.####....##.#.#.#.##.##...######..####..##.#.##.######.##...##.###.#.....#..####.....#.##.#.##.#...#.#.#..##..##...##.#..##.#...#.#.#..#.##...###..###........#.##...#...##....###.#..#.####..####.##.#####...#...##.#...#.#####....####...#.#..##.....#..##..#.....#..#.#..##.#...#..#......###....#.#...##.###.##.#.#.....#.###.##.#.#.#...##..##..#..#.##.#..##.#.##..###.#..##....####....##.##.###.#.#####.##.##...#####..##..##.#.##..##..###.##...#.##.#..#.##..#.###..#..#..####.#.#.##...#.#.#.#..##......#....#...##..#.....#.##.##.##..........##...#.###.######.#.#########..####...####....##.....####.###...#..#..##.#####......#.#...#.#.####...##...###..#.##..#..##..#.###..#.##..#....#..#..#.#.#....#...#......#.###..#.#.###.#.##.####.##..#..#.#.##..###.##...##.#.#....#.....#.#..###.#.#.##.#.#..##..#.###......##.#.#.#.#.#...#.#..###.#..#.#...#####.#..#..###.########.#####.#....#..##.#..#.#.##..##.#..##.#.....#..##...##...#..#.###......####....##....#.###.###.#.###...#.###.#.###..#.###.#..##.###...#..#.##.#.##..####.#.#.#...#.####.###......###.####.###.##.####.#.####.##.###.#.#.#.#.#.#.#..#.#.#...#.###....####....#.##..#...#.##.##...####.#....##..###.#....##..#..###...#....#..#..#..##.##.#.##.#.#..##....###.#...#......##.##.#.#.#.##.#...###.##.......#####.###...##.#....#......###.#..####.###.#.#.####.##.#....#..##
....##.#..####.###.#..#.#...##..####..#..##...#..#.###.#..#...##...#.#.#.#.#..##.#######...##.#.###......#..##...##.#..#######......##..#.#..##..#..#.#####..##.##.....##..####.#.###.#.##..#######..#.....#######..#.###...#..#.###.#.#.....#.#.##..###...###.####.#...##.#.#....#.#.#######.##.####.##..#####.#.#..#.....##.#......###.####...#.#.##.##.#.###.##.####..#...##....##.#.#..#....#####.......######....##....#####....#...##.###...##..##..###.###...##..#.###.####..###.#.#...###..#..#..#....###.##..##.....#.#.##.#####.....#...###.###..#.##..##.#...##..##.####.##.#####..#...#.##.#...#..###.#...#.##...#....#...#.#..#.....##.#.#..###.##.#......#..#.###..#.#####..#.#..#.......#.####.##.#.#.####.###...####.#..........#.###.##..#..#...#..#...#........#..#......##..#...##.#...#..#.#.###.............#.#.#...#.######......#.#.#####.#..########.#....#....##.#.#..#.######..#......##..##.##.#...##.##.#......##.###...###....##.#######.##..##..####.#####....##.#####..##....#..##.#.#.#..#.#...##..##..#.#..###..##...##.##...##...#..#..####.#...........##..##...###.#.#.#...##.##...####.####.##..####.....#..#.#.#.......##.#.##.#..###.#...#.#.#.##...#...#.#..######.#####.###.#..#.#.##..##.#...#..#..##.#.#.###.##....#.#..#.#..##....##..#........#####..#.#.#.#.##..##....#.#.##..#.#####.##.##...##.#.#.#...#......####...#.#..###.###..#..####..#.#####.###.##.......###....##.#.#.##.#.####....#.#...##.#...#...#..###.####....####.#.##.#...##..#.....#...###.#.###..##..#...##....###.#.###.######...#######.#...#...###.#####.#...####..##...#.#...##.##...#..#...##.##..#..#...#.####.#..#.#....##.#.#...#.#.#..###.#...#..#####...##.#.......###....#..#.##.#.#.###.##.#...##.#..##.###..#.#.#...#.......##..#.#.###.##.##..#......######.#.#.#..##..##.#.....###..#....####.#.#.#.#....####.##.###.#.###.#...#.#.##.#..#####.#..###.#......###..#.#...##......#...#..##...#####.##.#.#.##.##..##...##.##############.....#......#..####.###..##.##.#.####.#.#.#...##....##.#..##.##.#.#....##.#......#.#..###.###.#....#.#.##
.#..##..#.#..####..###.##.#.##...#.#.#.##..#..##.#####.#..##.#.....##.#####.##......##..#..###..###.#.##..##..####.#..#...#.#.##.###.#..######..#.##..#.#.##.#.##.#.###..##.#..##..####...###....####.##..#.#....##.#.###.###.###.##..#..##.##..###.##.##.#.##..#.#####.####..#...####..##..###.##.#.#..########.###.#.###..#.##..#.#.#....##..#..#####..#.#..#.#..###.#.#.#..######..#..###.#.#.###....#..#.#######.....#.###...#.#.###.#####.#.#..##.##..###...#.##..##.#...#.#...###.#.##..##.#.#####..##....####..##.#.##.##.#..###..#...#..#..#.....##.#####.#..#.#.#.#...####....#.#....##.#..##...#..##.#.####..#.##....######...#..#..####...##.###.##....##..##.#.####.#...###.#....#..###..#.####..#...##.#.#.......##...###..##.#####...#.##.#.###.#.#.#.##.#..#.##...#...#...##....##..####.###.##.#..##...##.##..#...##...#####.##.######.##.##..######.##.##..#...#...#..##..#.#..###....#.###.#.##.#.#.#.#####....#..#..#.#.#.##..########.#####..##.###.######.#.#.#....#.##..#.###...##...##...####.###....##..#####.####..###..#.#.##.#...##......##.##..##...#..#..##.#.#.....###.###.###...#####......#.#.########..##...#.....#..#.##..#..##..##.#......####.#.#...########...###.##.#...#...#.####.#.#..##..#..#..########.#.##.###..#.#####....#.#.#.#.##.....#.###.#.##..###.#....#.####.#...##..#.#######..#.##....##.....###.###..#..##...#..#.#..#..#...#...##....#..###.######.....########.....#.####...###.#.####...#..#.##..##.........##....#.#....##########...#...###....###.#....##.###.#.###.#.#....##...#####....##...#..###.#....#.##..#...##.#..##..#.######...########.###.##..####.##..##..##...##...###.#..#.######.##.#.###..###....#.#....#..####..##.#.#..####..#.####.##..#.#..#.#.#..#..###...##....#..##.#####....###.###..###..###.#.....##.###...#...###...##..###....###.#.####....##..###..###.###....#.##..##....##..#.##...##..##..##.#.###.#..####.#.###..#...#.###...#.#####.#....#..#.#..###....#.#..#...#.##..#...#..##..#.###...#.##..##....#.##.#..#..######..#.####.#.#...##..##.##.####..#..#.##....##...#.##.#..#
#.###.#####.....###...####.#...##.##.....#.###.####..##.#.#.#.#...#.#.###.#.##.###..##..##..#....##.#.##.######..#.#..##..##.#.#..##.##......#.#..#.#..#.#..#.####...##.###.....##..#....####.###...#.#..#.#.#.#.#..###..##.##..###..###.#.#....#..##..###.####...#.####..#..#.####.....######.#..##.#...##.#..##.#.######.#.....##.##...##..#.###....#.#######.#..##.###.#.#.##..#.#..####.###.#..#.#.#.#..#.###..##....#.#.#..#..####.##.##......#.#.....#....#...###.#.####..#..#.##.##..#.....##.#.###...#..#..#....#...#.##.##.#..#.#...#.#.....#.####.##..#.######.....##.##.#......##.#.#..#####..##..#..###...#.###.##..####..####..#...#####....#.##.##..##..##..#..#..#.######....#.#.#.##.##.#.##..###..##....#.##.#.###..#.##...#.#...#.#########.#..####......###..#...##.####..######.#.#####.##.#..#....#.##.##.#.....#.#...####.#.#.#..#.....##.#.###..##.#..###..####...#..#..###....#...#.###.#...#..#..#..#..#..#.#...##.#####..##...#..###....#.#.#.#.#.#...#...###.#....####..#.#.#.######.##.#..#.##..#....##...##.##...####.##.#...#.#.##...##.##..#.#.....#.#.#..##...##.####..##...#..#..........##.#..#.#..##........##......##.##..######.#.##....###..##.###..#...####.#...#..##.#...##...#.#.##.#.##.#.##.##.##.#.#..#.#.###...#..#......#.##...#.##...####...#.#.###.....##....#..#.###.#####..###......##.#...#..####.....##..#####.#.###..#...#..#.##.....#.#.#######.##...########...#...######...##....####..###..#.#.##......#####.##.############....##.#..#.##..##.#..#.#.#.#####.##.#..##..####..##....######.##...#.##.....###.#....####..##..##..#.....###..####.###.#.#.#.##.##.##....###.#.....##.####.##.#.##.#..#.##..#.##.###...#....#.#.##.##.#.#.#..##.##.##.#..#....#..#.##..#..##.#..##.#.#...#...###..###..##.#..#..###.##.##.##...#.#..##..##...##.##.###.....#.....###..#.##...##..###.....###.....###.#.#....#..##...#.##.##..#.####..#...#.#.....##.#..#..#.#.##.#.#.###...#...##.##.#####......##..###.#.##.####......##..#.####..#..#....#..####...#.###.#...#...#.#.#..##.#.#.#..##........#.#####.##.#.#..####.#####..
.#.##..#.#...##.....##......####.###.##.#.####..##.##.#.####.#.#####...##...#...######..##...#.#..##.##.#####.##..###.#......##...###.#######...#.#.#.####...##....#.#...#..###.##.#.#######.#..#.#..#...#....####...#..####...#.##.##.#...#.#.#.#.#.#.####.#.....####..#.#.#.#..###.#..#.##..#.....#.#..#####....##..#.#....#.###..###..##..#.....###.###......##.#.....#..###...#####....#..#.##..#.#.#####.....#.#..#.#....####.##..#.###........###..#...#..######...#..#..#.###.#.###..#...#.#.........#..##...#.#...#.#..#.##.##.##..###.#.#.........#.##..#...###.####...#.##..#.#.#.#.....#...#.###...#.#.......#.##..#.#.###.#####...####...###...#..##.###.#..######.###..#..#...##....##..##...#.#....##..#..#...#..#.#.###.##...#.#.##.#..####...#.......#.##.##.#..###.#.#....##...#...###...##.#...#.####.#..##...#...##..###.###..##..#...#.#...#.....#####...######..#.#.##.#..#..##..#.#.#.#.#.#..#.##.###...###.#.....#....#...##.#..#.##.##.#.##.###.#.#..#.##.####.#..###....##...#.#...##...#.#...#.#...##..#..#.#.#.#.#.#####....###...#.#..#.###..###..##.#..#.....##..#######.#.#.##.#....##..#.###.#......#.#..##.#..###.####..#.#.##...###.#.#..###.###.##....#......#...#.#...###.#.###....#.....#.#..##.#.##.###..###..#.#.####..###...##..##..#...#..##....#.####...#####..##...####..##.#...#.#.#.##.##.#..###...##.##.###.#....#..#...##....##..#.#..#...##...#.########....#.####.##...#.##...#.#.##..###...#...##....#..#..#######...######..##...##..#.#.##.##..#..##..##.##..#...#.####.#.##..#..#..##.#..#..#..#.###....#.##.##.###.#.#.#.#.##.#..#...####.##.##...########...#.#.####....#.......###.##..#.##.##.##.#.#......#.##....#..##..###.#..##..##..#.#...#..######..###..####...###..#.###..#.#.##.#..###.##...#......#..###...###.#..#.##########.........#.##..#.##..#.##..#.##..#.......#.##.##.##.###########.#.##.#..#...#.#.###.#.##..#..#.#...#.#....#.#..#.#..##.#.##.###.#.#.#...####.##.....#.#.##..#...#.#..#.#....#.#..#..#...#.##..#.##.#.##...###.##.#.#..####.#.###.###.#.###..#...##.###.###...#...##......#..#...#
#...###....#.#.#....#.###.##........#.#.##.#..##..#....#..####...#...###.#.#.##.####.#.#...###...###..#...#.#...#..#.......#.#..####..#......#..##.#..##..##.##..#...#.##..###.#..##.###.#.#.##.#.#..#.#..##.#.#.#...#.#....##.##....#..#.##..#####.##..#..##.##.#..#..#....##....#.#.####.....##....###.##.###.#...###.##.##...###....#######.##.##.#...#.##.#...#...#.#.##..#####.##.##.#.##..##.#....#..#.###....#...#...##.#.#.##.#.#.###.#...#..#...##..#...#.#....##.#.#..##.#..#..#.##...#.#.###.#.#..#....#.#.##.#...#.#.#....#......########.#..###.#.#.##.#.#...##.#########....###.#.#.#.#....#.##.......##..#.....#....#.#.#.#.##...#..##..###.#.#.#..#..###..#..#...##..#.#.#..##....###.####..#...###.#..##...##.#.#####..#.#..##..#..####..###.#..##...##...##..####.#..#.##..#.#.###..#.#####..##..#..#.#.#..#...###.####.##.#..#....#.#..##...##....#.#.##....#.#.#...#.....###.###...#####...#...#.##.#.#####.##.##..##....#..##...###.#####..#.##.#.#..#.#.#..#.#..#.#..#..##.#.###.##.###.###..#.##..#.#..#..####.....###.####.###.###.....#####.....#...#...####.#.......#.#..#.#....##.#.#.#.########.##########.##..#..#...##..#.###..##.#####..#.##########.....####..#.#.#.##.##..#.#.#.##.##.#.....#..##..#.####.###..#...###.#.#.##.#####.###.##..#.###..####.#######.##.##..#.###.#..#.#.#.######...#.#...###.########..#####..#####..#..##...#..###...##..##.#...#.#.##.....###..######....#.####.######..#..#...##..#.###....#..#......#..#...###..##.#....###.##.#..##..##...##.#..##.####..##.#...#...###...#....###.#.###.##.######.##...#.#.#.##......#..###..#.#.#####.##..##.##.##....#.##.##.##.###..####.######...##..####.#.###..####..##.###..##.....##...#.#########....#.#.#..###..#.#.#..##.##.#.#####...#####..######...#.####.#.####.#####.###......#####....##.#...#.##..###..#.#..##.##...#...#.#.#....###.#...###..##.###.###....#..##..#####.#........#....##....#..#.#...#.#....###..##.##...#....##.#.#####.#########...####...#.#.....####...###..#.##..#.#.....##...###.##.#...#.####.##...##.####...##...#.#.#...#......#.
#........#..###.###.#....#####...##..##.#....####.##...#...#.#.###..#..##.#.###.#.##.#..#......###.#.###.##.##....####..#...#..#.#..#.#.....#..#.###.#.#..#.....#..#.#.......#.#...#.#.##.##.#.#...###.##.#..#..######.##.....##..####...#.....#####..##.######.#.#.#...#.#.###.#..#...##..##.##...#####..#####.##.###..#.#.##..#.##.##...#.##.#.##..####.##.....##.###..#####...#..#.###.####....#.##...##.###.####.#####..###.#.#..#.#..#..#...##......#.##..#.###....#..##...####..#....#....##.##...#.#.#.....#####.##..#..........#.#...##.#..#####..####..#######...#..###.##...#.#####..##..#..#....###..####..#..##..#...#.#.#.#..#..#.#.##.#..#..........##...#.##.....#..#..#...#.###.#.#######...#####..#..#......#####.#..##...#.###...#.####........#####..#.##...#.#.....##.##.#..##..#####..#.#..####....##..#.###..###...#...######...#.#.#######.#..#.##.#....##..###.........#..##..#####........#..#..###.#.#...###....####.#..#.#...###..#.##.#..##.....##..#.##.#..##....###....#.#.###...##.#..#######.###.#..#.#.#.#..#.###.##.#...##..#.#.#.....###...####.#.#.#......#...#...#..##....##....##..##.#.#.#.###...#....#.#..#....#..#..####.##..####...#.#..#..##.##...#.##.#.#..###..###.#.#.#.#...#..#...#.##.#.#...#..#....#...###.##.........##.#..#..##..##..##..###...##..######.##...#..#.####.#...#.#.###..####.####.#.###..#....##.##..#.#.#..#####....##..#.##.#...##....#####.....#.#.#.####..#.#..##.##...##..#.....##..#..###..#...#......#...#.#...##....#...####..#..#.######.#.....######..##....##.##.#.#.##.####...##.#.###....##.......##...#...#...#....#.#...###..#.##.#.#...######.##..#.###.#.....###..#...#..#####.####..#.#.##.##.###..##.###.#######.#.#.#.#.#.#....###...####.#####.###..##..##.....#.###.##..#.##.##.###.######...#########.##..#..#..##.....#..###.###.#############..#.#.#.....##.##..#..##...#.......#.####..####..###.##..#..##########...##.###.#.###.#.##...#..####.##.####.......####..####...###.....#...##.##....####.#.#..##...#.##.#####.#.#.##.#..###.##...###...####..######...#..#...####..#...#
#..###.#.##.#...###.##....#.##.#.#...###..#.#...##....#....#..##..#.###.#....#..#....###.###.###.###.#####..###.########...#.###....#.#.###..#...#######.####.###.#...#....#.#.####....#####..##....#.###.#.#..#.####....#.##...#..##.#####.#.###...#..####.#..#...##..##.######..######.##.#..#.#.#.#..#.#..##.......#.#..##....#.#..##..#.....###.####.###..##.#.#.#.####.#.#.##.#######.###.####.......###.#..##..#.##.###.........##.#..##.#.#.#...#.###...#.......##..#...##.##..##....#.#...#..#..#####.##.#.####....###.##.#.##.#.####.##.##..##..#..##.##....#.#..##.##.###.....###.##.###..##..#.#..#..#########..####.####.#..#.#.#####........#.##...##.##..#.#.#...#...#..#.##.####..#...###..#..##.#...#..##.#..###.#.#.#.#.#..#.#....#..####..#.#.#####.#....#...#..##.#.#..#.####...#..#.#...#....#.#####.#...#..#.#......#..#..##.#.###.###..####..#.##.#.###...##.####..##.#.####....###.###.#..#.##..####.#...##.........#..#.#..#.#..#.####..##.#..#...###....####.#...###.##.#.###.###..#.#.#...##.##...#.#..#....####....####.####..#..####...#.###.##.#..#..####..#.#.###.#..#...##..###..#.....#....#######..##.##.#..#.#.##.####..##....#....#..##.##.##.#..#######...#.#..####.##.##.###.#...###.#....#..#..#.....####.###.######....##.###.#...##....#.#.###.##.#.##..#....##.#..##....###....#.#....##..#.####....#..#.######.#..#.####...##.....#.....###..###...#.##..##.##...#.#####.#.##.#..#.#.##.#.###..#.###..####.###.#.##...#.#...##..#...##..###.#.#..#.#..##...##.##.##..#...#.##.####..###..#..#..#.#......##.#.###...##...##..#..##.###....###.#.#.###.#....#.####.#.##..#.#..##.###.##.#..#..#..###.....##.###.....#..#.##.##.###.#######..#.##..##.##..#.##.###.##..#.#.##..##.###..##.##.###.#.#.#.##.##.###.####.##.....#.##.###.##.###.#....#....###...####..#..##..#.#...#####..#..##..#..#...##.....##.#.###.##.#.#..####.#.#.###.####..#.####.###..#.##....##.#.#.##.#.##..##.##...##..###.#.###......#.#.#....##..###....#..####...##.#########.#.###.#.#.####......#..#...#...##.###..#..#...#.#.#.##..#..#.####.##.#######.#.
..###.#..#..####..#..##....##..#.##...#...#..#.#..###.##.###......####...#.#..#..###.####.#....###.#.##.#.#.##..####......#..##...#..#.##.########.....######..#####.###..#..#####.######.####.#.#.####.####.....#.###.#......####..#.##.##.##....#.###....##.##..###.....#..#...#..#.....#..###...##..####...#.###.##......##.##..#..##.#.#.#.#..#.###.#.#.###...###.##...#.###..#..###.##.#....#.#.#..##.#....####.###.##..###..#.#...#####.#.....#.#.#.#.......#.#......###...#....####...#.##.......#.##..#.#.###...#.#.....#.#..#...#.###.###....###.##.....#...####.##.....#.##..###.#.........######...###.#..##...##......##...##...###.##..#.#.##..##....###.#.#.#.#..##.##.#.#.#.##.#.##......#..##.#.#.......#..#.#.###.....####.##.##...##...##.#.##..##..####.#######..#.#####..##.##.#.###..#.##..###.#####.#.####..##..######....##.##....##.#..#.#..###..#...#.##...#.....###..###.#.#..##..####..#.#..##.##..#####..#...##.####....###.##...##.#.##.#.###.###.##.##.#...#......##.#.#......#.###..#######...#.#.###.##.#.##.#..#.#.##.####..#...#####.#.....##...###..##.#.##........##...###..#.###.#..####..###..#.#.###..##.##.##.###...##..##....#.#.##...#.#.##......##...#..#.###...##......#...#.##..#.##....#.#..##...#.....####..#.#####.##.##...#.#.#........#.##.###.#####.#..####..#..#.##.###..#...####...#####.###...#####..####..#....###...##......#.##..#.##.##..##.#.#.##.#..#....#.####.#.##.###..######.###.#...###...#...###.#####.####...#.#.#...###...#####.#..#.#..#######.#..#.##..#...##..#..#.#......##..#####.....#.#.###.#..##.####....#..##.#...##..###.#.##.#.##..#.....###..#.###..#..#.###....##......##.#.....#....##.#....###.#..##.##.#.#.####.#.#.#..#.#..#..###..##.####..##.##.#.#.###..#.###...#..####....####..##..#.##.##..###.##....#.#.###..#...###....##.###...###.###.....######.###....##.##.#.#.##.#.#..#.#######..#.#.#.#.#.....#..##...####...##...#.##.##.###...#.####.###.####..#.#..#..#.#...#..##....#..###..###.#.#.##.#..#....#.#..#....#.###.###.##..####.#.####..##...##.####........#..##.....#..###
#.####.##.###...####..#.#.....#.#..#.#..#.#.#.#...##.#..#..##.#..#...##....#...#.###..#.#..###.##...#....#..####.#####..##.#.##.#.####...#..#.#.#.####.##..##.#...###.####.#.#.##.##..#..#.#....###.....###.###.#...#####.#..#..###########.#.####...####.####..#.###.###....#.#.#..##..#.#....##..##.#.##..#....###......###.#..##...###.#.######..##.#.#.....##...######.#....#.#.#..###.#.#........###.#.#.#...#..#.##.###...#.#...###..#.##......##.#####.##..#.#.##..#...#....####.######..#####....##..#####..#.#.####..#..##.#.##.....##.#####.....##..#...##.###.###.###.#.#...######..##.#..#.#....#...###.#.##.###.##.#..#..##....###...#..######.###.#.#.#.##.##..##.#.##.####......#.#..#.#..#.###.#..#.#...#.#.#..#######.#.########...###.#.....#.##.###.####.##......##.#...##....#..#..##.#.....##.##..#..###.#.##..##.#...#.....####.##########...#...#..##..##.##.###...#.....##...#..#..#.##.#..#...#.#.##.#....#.#.####.#####.....##.#.#...####.##..#.#...#.###...#.###.#....#.#.###.#.#######.##########.#.#.#..##....##.##..##.#...##.###.#.#.#.#...#..#..##......##...#..###..#####.##..#.##.#...##.#.##..#######.###.##.#.##.....#.##..#####.###.#..#..#..###.#....#.###.#.####..##.##.....##..#.......#.##..##.#..##..######...###.....###.....###.##....###..#...#..###.#...###...#.##.####..#...#.##.###.....#####.#.#.#.###.#..###.##..##.###.#..####.#..###..#.#.####...#..#####..######...#....###.###..###.##.#.#..###..###..#.##.#..###..######....####..##..#.####....#.##..##.###.##.#.#..#.##.#.#####.#..#..#.#.####....##....##..#..#.###.#.##..#....######..##.#..##.####..###.##...#..#.#.###.#.##.....##.#..##.#.#..###.#.########...##.####...##...#.#.##.#....#...#..#.#...#..####.#.#.##.##.##.......###.##.#.#.#..#.#....#.#....####...#.#.#####......#...###.##.#.#..#......#.##...#.######.###.#.#.#..#.#.#.#.##.##..####.##.#..##.#....#..#..#.#.#.....#.##.....#####.#.....###.#...###..##..##..######.#.##..#.###...#.##.#..#.##.....##.#.#..######.##.#.##........#...##..#..#..#####...##...##.###.##.#####..###.....#..####..
#........###.##..#.##.#..###.####.##.#....#..##.#.##...##.####..#######...#.#####..##.#..#########..###.#....#.....##.#.....######.#......####...###..#.#.#..#....###.#.###...####....#..#.#.#..###..#.#.##..#####..#...#...#.#...##.##.....##.###..##..###.#.....#..#.###.###..#..####.###.#.#..#.##.###...#.......##.#..#.....##.##.#...#.###..#....#...##..#.#..#....#.#.##.#.#....###...##..#..###.#.#..#...####..##...#...###.##.#..#.#.#...#.#.#...######........##..####.#.##..#.#.#.##.####.#..#####.##.#.##..##.##..##..##.######.###..#..#..##...##..#.#.#.##.####..###....#.#...######...####.#.#...#.#.#...#....#..##..####.##.#.#.####.#..#.##....#..##...#...#.#.#.##.##.#.###..#.####.#..##.#####.#.#.#...#........#..#..###.#####..###.#.###.....##.###......#.##.#.##.....#.##...##......######.##.#.##.##.##.#.###..###.##.#.##..###.#.#.##.##.###.....#.####.##..#.##.......##...###.###.##.####...###..##..#..######.....####.##..#.#..#..#.###.#######.###.....#.##..#.........#.##.###.#...###.#.#....#####.##.###..#.#####..#.#.##.####.##.#...#...##.......#......#...#.#####.#...##..#.#.#.#.###.#.##..##.##.##..##.#..#.......#.##.##...##########..#.#.#.#.#.##.#.#..####.#.#.#.##.....#.####..#.####.##.####...#..#..##.###.###....##..#..#......##..#.#.###.####.#.##..###.#...#.#.....##.#....#.#####..#.####...#...#...#.#.#######.#####.###.###..#...#.###.###.....#...##...#...##.##.#.#...###.##.##....#.####....#.#.#.###..#..#..####..#.#######..######...#..##.#..#..#.#..##..###..#..##.#.####.#...##.##..###.###......####....##.#..#..###.#..#.#.......#..#.###..#.#....#.#.#.#.#.##...#####.#.####..###.....##..#.#..##..#..####.......#.###...##.###..#...##.###..####.....######...#.....#...##.##..###...#.##....#.#.......####.###.#...##......#.#.#....#####..###.#...#..####...#.###..#.###.....##..#.#..##.#.#.#.#...#.####.#.#.##.#...#.#.##...####.#.##...#..#####..##.######..#####.###.##.##.#######....##.##...#.##....#.######.#.###.##...####..##.##....##..#.#######.##..######.#.###..#.#...##...##........##...##..##.
.##.##.####.#...#.....#####.#...##.##......##.#...#....#.###..#.....#...##...#...#.#.#......#...#.#.####...#...##.##.##..##....##.#..#.##.#..#.###..#.....###.###.##.#...###..######...##.#.#.#..#.###.####.####..##.##.#.##.#.#.#....#.##....#....#####.#####.#######..####.##...###..#...##..#...#..#...###.#.#..###....###.#......###..##..#...#.##.....###.##...#...###......#..###.##..#..###......#.##.##...#.......####..#..#.#.#.#######.....#.###.....##.#...####..#.####.#....####.###.#.###....#..#..#...##.##....##...#..........##..#..#..##..#..#...##....##########....#.#..###.###...##.#.#..###...#...####.##.####.#.####....#####..##.####..###....#.#.#....##...#####....#..#..##..###..#..####..##.......##..#.##.#...#.#.#.###.##...#..#.......#.#...##..##.#........#...#...#####..#...#.#...#..#..#..##.###.#.#...#...###...###....###......#...###.##...#......#....######..#...#.##.##.##...#####.#...#.###.##.##..#.#.#..#..#.#...#.#.#.#.#.#..#...########.##.##..#......#.######.##..#.#.##.#.#..#..###..##.###..#..#..###..#..##.#.##########...#.#.....####.#.#...###.####.#.#...####.####....##.#..##....###.....##.##..#....##.##..####...#.###..#.....####....##.#.#.##.###.#.#......##.##.###.####.##..#.#.##.##.##.#....#.##..###.#.#.##.####.###.#...#.#.#.###........#..#.######.#..###...........#.###...##.###.#.##.#..##.###.##.#...#..........###..#.#..##.###...#.##.####.####..#.##.#.....####.....###......#.#..##....#...#..##..#.##.#.#.....#.###.#.###.####.####.##.###..#..##..#.##.##....####.####.....#..#...#...#...##.###.#.###..######.....##.#.##.#........#.##...#...###..#.##.######.##.##..#.###.##.#####.#.#.###.##.##.#..#.#..#.###...#...#.#.####.#######...#####.#.#.####....##...##.#.#.#.###...##..###..#..######..#..#..#..#...##..#####..##.#.#...#.#....########.....#.#....#.#...##.########..##..#...####.#####.##.#.##.#...#.......###....#...####.....#...#.##.#..#..##...#.##...##.#..###..##....##..#######.##.#.#...#..##.#.###..##..#.#.#..##.###...###......##.###.#....##..##..##..####....####..##.
##.#.#...#..###.#.#..#...#.###.##.##.##..#...###.##.##...###..######.#.#.###.#.......###.###......#.##.#.#.#######..####.#..##..#....#....#######.....#....#######...#####.#..#......##...##.....##.#####..#.#.#..#####..##.....#.....###.##..#.####.######..#......#.##..#...##...####.#...##...#....###....##..###..#.#.#######..#.##.#####...###.#....#.#..##..###..##...#.###.####..##......##.#.##..##.###.#....########.....##.###.#.##.###....##.##.#.##.##...#....##.#.....###...####....#.#.#####...#..##..##.#.#..#.####.#..##....#..##....##...#...#.##.##.###..#####.#######..######.#.#....###.##.#.#.#..#....#.#.##.##....#.####.#.#...#....##..#.##..#..###....#...##.#.###...###...#.....#..##..#...#..#..#####..#....#....##.###..#..##.#..#..#.##.#....##.#..##.#######.#.....##...###.##.....#...###..##...####..#####.###..###..##..#...##..##.#.....##.#.###...#..##...###.....###.#..#..#.###.#.....##..####.###..#...#......#.#.#.#...###...###..##.#.......##..#.#...#.#...#..##..#.#.#.#.....#..#.....#.##..####.##..###.####.#.##.####...#####.#...######.....#.##..#.#.##...#...##.##...##...#.#..#######.#..####...#.#.#...#..##..##...#.#####..#.#.###.####..##..##.##.#.#.##.#.#.#.###.#...#..##.#.##..#.#...#...#.#####..##.#..##...#..##.#######...#.#.....##...###..#.#...##...##..#.####.##..#.#.##.##.#..#..#.##..#####.#.#.#..##.#..##...##...##.....##.......##.#.#.#...#....######.#.#####..###.#.....#.#.##...###..#..#.........#.#.#...#.#.##..#..#...#...#.#...#...#...#..#.##.....##.##.#..###.#..#######.#####.#...##...###.#.#..##...#..##........#.....#....###..#......#####..##...#.#..##...##.#.####.##..#..##..####...#.#..#.###.#.##.##.#..#...##.####.#.##...#..#.#.#...#.#.###..###......##...####.##..#...#.#..##.#..#....#.###...#....#.....#..#.#.####..#.##.#.##.#..#.#.##...##.#..###..##..#.###...#.#...#..#.###.#.#.#.#...#..#.#.#...#..#.####.....#...##..#.####...#.......#......##......#.#..#..##..#....#.###...#....##.#...#.##..#..#.##.####..##...#...#..##....#...###.#..#...#.####.##..##...##..##.#.....#..
#..##....#.#..##.####..#..###.....###..#....#.##.#.#.#.#.##..#.##.#.##..#.#...###...#..#.#..####.#.#..##..#.##.####..##.##.#..##..#.#..##.##..#.#..##..#.##...#.##...##..#.....##.#.##.##.....#.#.#..###.###....#..###.#.#..#..#.#.#.#.#..#..#.#.#.#...###...#####.###.##.#.....#.#...#.#.......##..##.#.##....#.#####.##..#.#.##.#.##.####.##.#.#.##..#####..###..##.##..#.#.###..#..#.###.#.#...#..###.##...###...##...##.##.#.####.#....##.#.##...###..#.##.#.##...#..#..###.#.......#.#...#.#.#....#..##.#...#######..######..#.#..#..##...##..#....#.....#.#.#.#####.#.####...##.####.#.##....###.###########...#...#######....##.#.##.#.#...#..#.###.##..#.#.....##.##...##.....#..###..##...#..#.##...#...#..#####.#........##.####.####....###.##...#...#.#.#...##.#..#.##...#.##.#...#..#..#..#.##.##.#..###.##......##.##.#.#.#.#....####.#.#.####.#...##..##.##...##...#.####...#.#.#..########....######.#...#######.##.##.##.#.####.##.#.#.#.###...##.#####.##.#..##...#..####.#..##.####.#.....##.#.##....#.##.###.#####.##.....#..#####.......#.......####..##...##..####.#...#.###.#....#..#.#..#..##...###.##..#.##.###.#.##..##.#.#####.#..####..#.....#####..#..##.#####.##.#.##.#.##..####.##......##...#.#.##.##.#.#...##.##.....#.#..#.#..#.#.##......########.###.#.###.#...#..####...###.##.#.#######..#....##.#.....###.##..#....###...##...##.#####.##.##.##.#.#.#####..#...#.##..####.#.###....##.######.#...#........##..###..#....##..#.###...#######.##...##..###..##.###...##.##.#..#.##.#...###.###.###.#####..####.###...#######.######..#..#.##.#.#...######..#.#.######.###...###...#.###.####.#####......#.##.#...#.#...##.##.#...#.###.###..###.###.###.#..##.##..##.##..##.########..##.##....#...#.#.##.##.#.##..#...##...#..#...###..###.#####.##.#####...####.#.#.#.#..#.##...#..#..#..#######.#.###..#..#.##.......###..###..###.#.#.#.##.#...#.##..#..##.#..#.#...#.#...###......#######.....#....#.#..##..#....###.#..#.#..#####.##.##.###.##.#....##.##.####.#..#.#.#..##..#####.#....##..###..#..###....#.####..#.##.#.#..#####.#.
..##....###....#.#.###.#####...##.#....#...###.##....#..##.####.#...##.##..#.#####.##..##.....####..###.#.#...#....#.#....##.....#.##...##..#.#.##.####......#.....#..#####.#..#...#.##..##.#....##.#.#......#.##..#.....##.#...##.#..#.####.####.#.##....#####...#.######....#...#.#..#.##..###..#.#.#####..#.##.#.#####..#.##.##..###.#########..#..#.##....##...#...##.##..###.##...#.#####.###.#.###.##.##.#....###.###.####.....####.#.#..#......##..###..#.##....##....##.##...##....#.####.#.#..##..#.###.##.###.##.#.#..##.###.###...###.#..#.##..#.##.###.#..####........#..#.....#.#.###...#.....#########.##.###....####.#.##...##..##...##.##..##..##..#.###....##..#.#####.#.####..#..#.#.##..###..####..###..#...##..#....#...##.#....#.##..#.#..#.#..#.#..#..#.##.###.#.####....#.....###..##....#.##..#.#....#.#..#...########.#..#.###..##.##.......#........#.....#.#..##.###.#.##...#..##.###.##.....#.#.#..##...#.###.###..###.#.#.#....#.###..##...#..####.#..#.###....##.###..###...#...#.#..####.##..##..##..#...#..###..###.#####.#.##..##...#########..###..###.#.#.####.#.##.#....######.##.####..###..#.##...##.##.#...#.##....######..#.##....##.#..#....###.##.###...##.....#.##..#.....#.#.######.#.#####.#.#..##.##.#.#.#..#.##.#..#.....#...###......#...#.#.#.######...#.##.#...##..##..##..##.##....###.########.##.#.#........##..#.########....###....#..###..#.#..##.#.###.#..#..##...#.#.#####....#.....#.#.##.##.#.#..#....##....###.#.####.##.######.#.####..#..##..####...##..#####.....#.#.....###.#...#.#.....##.##.######..#..####..#..#...#.#.#.#....###.####..###...#.#.##.####.#..#.##.##.###.#..#.##..##.##..##.#....##.......#.#.####.###....#....#..#..##.##.##..#.##.#.#.#...####.##.#####..###..##.##..#.##.##.....#.#...#..######..##..#....#.#####.##..##....#..#..#.##.##....###.#........####.##.##.###..##..###..####..##...####..##.#.#....#####.#.##############...##...##.#..##..####.#####..###..#..###.#.#..#####...######.#.##..#..##..##...#.#..##.###..#.#.##.#..#.#.#.#..#.#.#..###..###.###...#####..##.#.###
.##..#...##.#####...#.###....#.#####..##.#.##.#.##.##.....##...#.######..###..#.#...#...#####......###.##.###.#.#.#..####.#.###..###..####.##.#..#.#....##..##.#..........#####.....###.###.##.#....####.#.#.#.#...#.#.#.##.#..#..######.##.....##...#..###..#..######...#.#..#.##.##.####.....###.####....#....#....###..#####....##.#.......##.###...##..#.##.#..#..#.##.#...#.#.#..#.##.#.#.####.###.####.##..##.###..#.##..#..####.####.#.##....###.##....#..#.##..#.####.##..####.##....#.##.#####..#...##.#..#.#.######..#...##......###..##...#.#....#..#....#...##.##....##.#.....##..#....###..#.#.###....#.##..#.#########.##.#####.#..#..#.........###..###..##.##.#.#..#.#..#.#.#...#.#.#..###.###.#.#.#......####.#.....#.#.###..#.#...#..##.####.#..#...#..#..###.#.#..###..###..#.#...######.#...#......#.####..#.#...#.....#.#.#.#..#.##..#.....##.#.#...#....#...#.#.##...##.#.#.#...###..#...#...#####..##.##.#...##..##.#...#..#.....#.##.#.#.##.....#####..##.##....#.....##.#.#.#######.#.##.#.#.#.#.##.#..#..#....##.#.##..#.##...#.##.....#.#......#.##..##...##.#.#..####.####.####.#.#..#.#.###...#..#..####..##.##.#.#.#...##..#.##.####.#.#.#..#......#..#...###....#.####...#.......##...####.####.#.#.#.#.##..#####.#.###.#.###.#.....##.#.##.###....##.#.###.##...#####.####.##...#..#.##.#.#.##..####..#...#####..####.#..##...#.#.#.....#....##....###.#..##........#####.####.#.#.##.#.#.#....#.########.###.#..###...#.#.#.#.#.....##.##.####.###....#.##.##...#.##...#.#####..##.....#.##..###.#.....#.#..##..#.#.....######.########..#.....###.###..#......###....###.###...#.....#..#..##..#.###.####..#..##.#.##.....#.##..#.#..#..#..........###.####...#.#....#..##...#...##..##..#....###.#####.#.#..#.....##.#.###.....#.###.#....##.#...#.#...#.#.####...##.#.#....####.#.####.####..###...#..#..#.##.#.##.####.###.....###.##....#.####.#####..###...#.##...###.....####..##......####...#.#######..#####...##.#.......#.###....##.####.#.##.###..####..##...###.##.####...####..##.####...##..#.###..#...###..##.#...#..#.#.####.#
###..##.##....#.##.##......#...#..##..#.##..#..#####...####.#.##.#..###.#...######...#.#.#.#.#...###...##......#####....##..#..#...#..#...#...#....###....#..####..#.############.#...#.##...#.###.#.###..#....#.#.#.##..#...##.....#.####.#....#....###.#.....#####.###.#.##.#.##.#...#.#.####..####.###..#.#...#.##..##..#.....##.###.###.##.#.#..#.#.##..####.##.###.##...###.####.###..##..#.#..#..#.#.#..#...#.##....##.#....##.#.####...##..#.#..#.##.###..##.....###.#.....#.#.##.##.#####..#.#####......##..###.##...#.######.######.#.#..##.#..#...#.#.#.#.#.####..#....#.#....#.#.#.##....#.##..#.#..#...#.#.###..#..#.###.#..#.##.#.#.....###.#########.####.####.#.##...##...###...#.#.##.#......#########...#..#....#..#....##...#...###...##..#..##...........###..#.#####..##..####.#####...#..#....#....####..##.#.#.###..##......#.##.#..#.#...#.###..###.#.#..##.##.##..##..###.#..#..#..##.###.#....#.##.#..###.####..#...#.##..#.#.#...####.#...#...##.#..#.###......#...#..#...#.#.#.##.#.#.#..##.#..##...####.###.#.####.##..#...#.......#..###......#..##..####..##.#####.#.##########.#..##.#.#...#....#.#....##....####.##...##.###.#..#.###..####.#..###.#..#####.#.#..####...##..##..###..#....##.#.##.....#..#..#....####.###.###..##..#.#.#..###.#.###..#..###.##..##..#..###.##.#..#.#.#....##....##...####...###..###.###..#.####.#.###....#.###.####......#..####.##..#..#.#.##.#....##.#.###....##..#.#.###..##.#.......#.#.#..###.#....#..#####.###....#..###..##....###...##....##.#..###.#..##...#......####..##....#...###.####...###..###..###.#...#...#...#...##...#.###.##.####.#.#..###.#...##.#..###.#.#.######.##.####.#.###..##..#####...#.#.#.#.#.....#####.####.#....###.#....#..#.##..###..###...###....#####.#.#.#.######...###.#...#.#.###..#.#.#..#..#..##.####.##.##.####..######.......##.#.......###.#.######.####..##..##.....###..........##...#.###....###...#..######.#.###.#.##..#...####.#....#.#.#.####..#.#..#..####.#.#..###...###..#..##...##..####.#.##.......##.#...####.##.##..#.#...####..#.###.#.#......###.
#.####.###.##..#.#......##.####..###...####.#####...#.##.....#.#..#.......##.#...#######..###..#..##.###.####.#####.#.##.#.#......#..##..#...#..#.###..##...#.#....#.###....#.#.##...###.##...#..#####.#####..##..#.###.##...#.##..#.##.##.#.##.####..#.......#.#..##....#.#.#...##.#......#...####..#.###.##.#...#.#..##.##.#.#.#..####.#.#..##.##.#.#..#.##.#..###..#.##.#.#.#.#........##..#.....#.##.#####.####..#...##.#...#.##..#.........####..#####.##.#.#.####........#.###.##.##.##....####........#..####.#.##.###.##.#.##.#...##....#..#....##.#.##.#.###..#...#......#...##.##..#.#.##.#.#.###.#..####.#....#.....#..####.#..###.#.#....#.#..#.########...#.##.....##..##.####.##.#.#######....##...###.#.#.#.###...#..##.###..#..#.##...###..####..#.#####..#.#...#.#..#.#.###.#....##..#.#..##..#####.#.##....##.#.#..#..##.#...#...#.###..#....####..###.##.##......#...#.#..##..#...##....#.###.######.......#.#.....#..#....####.#..#..###.##.#.#...#.###...#.#.#.###.##.##..#..#########.#.#...#.#####.######..##..####..###.#.....##....#.#..##.#.#.#.##.#...#..#..##..###.########...##.#..#########...####..#..##.#...#....#..#.#..#..#.##.#.#.#.######.##..#.#.#.#.#..###.#..##.####....####.#.#.#.##......#.#..#.#.#.#....#.##..#.##...#...#.#.#..#..#####.#..##.#...#.##.##.#..##..##..####..###.....#.#..####..###...##..#######..#..#..###....#....#..##..#..#..#.#.####.##.#........#...##.#.#....#.....##...##.#.....##..###.####.####.#...######.##....#.#.###...#.####..#..##.##.##.#.#.#....#....##..#.##...##.....#.####.##.###...#.....##.#.##.#...#....#####.####.####....#..#.#.##..#.###.##.#..##.####.###..#........#.######.##.#...##.....###.#..#.#......##..##...##.##.##...###.#...##.##....####.##...####.#....#.####.##.#.####...#..###.##...#....#.##.#.##.#.##....#.##.#.#.##.#..#...#.##.....####.#####.###.####..#..##..#...####.##.####..#....####.#...#.#####.##.####..####..#.#####..#..###..#.#.##..##.......#.###...##..#..#.##....###..###..#......###...##..#..#..#.#..##...##..#..#.###.....#.##.#.#.#.#.##..###.###..##
#..#####..###.#.#.##....##.#.#.#....##.#.#.###.###.###..##..##....#..##...#.#...#####.......####.#.#.##..#...##.#.##..#...##...#.#...#.#.##...####..##..##.#...#.#.#......#####...#####.##...#.#.#...#......#....#..#.##...##.#..#.....####...##........#....#....#.#....#.#######...##.#..#####.##.#.#...#......####..####.####.###.##...#..##..#..#....##..#.##....#..#..#....###....###....###.......#####.##.#..###.###..#.....##..#####.#...##..#...###.##..##....######.##.##.#.........#..#...#######.#.#...#.##..#.####...#..#....#.##.###.####......#.##.####.##..##...#.#####..###.#####..##..#....#.#######...#...#..#####.###.##..#.#.#########.###......#.#.....#...#..#.......#.##....#.##.#...##..#.#.....####...##..##..#...#.#...##.##.##..#.###..###.#...#.....###..#.##...........#.#.....###.#...#...#.#...#.#......#.......##.....#..#.#####..#.....###....###....##.#.#..#..#.##.....##...#......###....#....#.##.##....##.######.#.....##.#.#####..#..###..##..###.#####.#..#.#.#.##..##...#...#..#.##..#..##..##...##..#..#...#.#..#....#.#.#..#.##.###..###...##.#.#.##....#..##.##.##..##..#.##.####.#..##.##.####.####.####.#..###..#.##.####..##.##.#..#.###..###.#.#.##..###.#.##.####.#.#####...#..#....#.#.#.#######..#.##..##..#.##.#######.#.....#...##..#.###.##...#.##..#....#..###....#.#....####..###.###....##..##.....#.###..#.#...##..##.#.########.####..#.#.#####...#.#####.####..#..##.......#.#.######.##....####......###.###.##.##........#......##.##.#.#.....#.###.#..#.#.######..##..#..######.##.#####..#####.....#.#...#.#..##..#...........#.#.#..#.#.#.#.##.#..#.#.#..#.#..#..##.#..#.#.#....##...###.##.#.#..#.#.###.#...###.###.#.#######.#...#.#.###...#.#.#..#..#.##.##.###..#..##....#..#...#..##....#..#####.#..#.#..#.#.##.##.##.##.....#.####.####..#.#.#.##.#####....####.####......##..#..#.#.###.....####......#.#.##.##..##...#...##.####...#..##.####......##.##....#......#.#..###..#.#.#...#######...#...##..##....#..#.####....#..###.##.#..#.##.##.#.#####...##.#..##...#..###...#.....#####.#####..#..##.
#...#.#.##.##.#..#.####.###...##.#..##..........###.#....#.##...##....###...##.###.###.#..###.###..#.###..#.#.#...#.###.#..####..#.#..#.#.#.#.....###.#..#.#####..#.##.##.####...####.##.#.#.#.###..###.#.##.#.#..##.#.#.######..###.###.######.#....#####..#....###.####...#.#...###.....#..#......##..#.##..#.#..####.#.#..######.###...#.#.#.###.#..###..#.##.......##..##..#......###.####..#.###...#....#....#.#...#.#.#####.##.###.#.#....##........##....#.##.....##...#.#..#.....####...####..#.#.#.#..#.#......#.....#.#.##.#...#.########...#.##.#..#..#..#.#..####..#.###..#....#..#..###..##..#..#...#...###.#.#...####...##.....###..###.##..#.##...#.###..#.###.##.#.#.###..#.....##.####....#..##.....#..#......###.##.#.#..###.####.#..#..###....###.#..#.###...#....###.##..###...#.##...#...#######.##.....####.#.######..##.###.####.##..#....##.####.#.##.########..#...#.#..###...##.##..##..##.#.##....#......##..#....########.###.##.##.##.##.#...#...#.#.#####...#####.##.#####..#.#.#.#..#.###..##..#..#.#.#####.##.#.#.##....#.###.....#..###.....##..##.#.####.#..#.####....##.##.###.#.#...###..#...#.#....#.###.####.#.#.#..###...#.#..##.#.##.#...##...##.####.....###.#########...##...###.####.#.##...#...#.#....##..##....#.##.#..#####..#.###...#..###.##...#.#.#.###..#..###.###..#.#.###.#.####....###.#.#.#......#.#..##...###.###..####..#.#...###.#######.##..####..#...#..###.#.#.####.###.######....##.#.##.#.##..#.#..####.########...#.##..#####.##.###..#...#.###.##......######.#..##.#.#..#..##.#.#.#######.#..#.#..#.##.#..#.##..#.#.#.##.#.##....##.####....##..#.........#.#.#.##.##.#...........#.#..##.#..##.#..#..###.#.#.......#.#####....#...##.###...####..#.....##......#.########.###.#....#########.##....##..#..#..#.......#..#####.#.##.#..#.##.####...###.##.######.#.###...#..#####.#..#..#.##.#.#....######...####.###.#.#.##...#.##...#.##.....###..#.####.....###...#####..#######.#..###...####.###......#.#.#.####..#.##..#.#.###.#..#......##..#..##.####.#.#..#.######..#..#####..####.##.#......#........
#.#.##..#..#..######..#.###....#.#....#####.#.#.###..#.##.#..####.#..#########...#.#..#..#.##.#.#.####.#.#.....#..###...##.......#####.....#.#....##.#...#...###...#..#..#...#..#.##.#..##.#..##..###.###..#.#.#.##.#.#.####.##.#.####.##.####..##.#..#.#.#..#..###..###..#..##.#.....#.#..#....##..#...###..#.##.##...##.#####..#..#.#########.#####.#..#####..##.###...#....########...#.#.#.##.###.##...#.......#..##.##.....###.##.##########..##......#.#.##..###.#..#.#.....#.####.#.##..#.###.####.####......#...##.##.##..#..###..#..#############.#.###......##...###......#.###..##.#.#.##.#.##..#.##.#..##.....##..##.#.####.#.#.####..#..##.##.##.#.#....#.##.##.#..#..##.....###.#..###...####...###...#.#.######.#....#.#..#.#.#.##.#..####.##..####.....#.##..#.#..##...#.#...###.......#..#.#......#######...#.###.....#.#.##..#...#......#..##.#.#######....#...#.#######.###.....#.###..###.##....######.##...##...#..##..#..#...#.#.#.####...#......##.#..#.#...#.###.###.###..#.#.#....###...#..#.#######.######......#.##.####..........#..#..##.#.###..##....#.##.......######....#.#########.#...#.#..###.#...#.#.#.###.#..#.#.##.#####.#####.###.###.#...#.##...#.#.###.##.###...#..##.##.##.######...###.#....#.#####.#.##.#..#..#.#.#...####........##.#..##.....#.###.....#.#####..#####...#.#.#.####...#.##....##.#.###.#.#.##.#.###....###...###.#.####..##..##...####........##########.####.#...#.#.#..#####...#.#....##.##.....#.####.###.#...######.####.#...#.#......###...#.#...#.#...######.##....#.#.#.##.....#..#.##...#.#.##.....#.######..##.##.##.##..##.##......#.#.##..###...##.#.##..####.#.#..##...#.#....####.#.#...##.##.#.###..#.#.##..#.#.####.####.#.#....#..#.#..####.....#.##.##......##..##..#.#...#....##.#..##....###.####..##.##...#.####.#.....#.###.##.##..####...#.#..#######.###.##.##.#....#.####..#..##.#..#..#....#######...##.########..###..###......#.#..#.##.#.#..#....#.#.#.....##.#.##.##..#.#....####....#.#......#..#####.##.#.#..#.#...###...#.#######.##....####...#.#.#.####.#....#..#..#.#.#.#.#..##.
..##.#.#.####.#.#######.#.##.#.#..##.####..##.##.##.###..#.#.###..#.####.#...#.##...##.####.#.#..##.#.#.#.#..###...#...######.....#..#####..#.##.##..##.#..###.###....####..##.....#.#..####..##....#..#..#..#.#####.####.####..######..#.#.#.##.######..###......####.#.#.#####..#..#.#...##..###.#.##.###....#...#..##..........#.##..##.#.##.###.....#..#.##..##.#.#......#.#....####..#.#...##.####..#..#...###..###...##.#.##.#..##.............##..###..##..#.......##.#..####....##.......##.##.###.###.##.####.#..#........###...#.#....#.#####..#.#....##.###.######.#...##.#.#....###.##.##.####..#.#.#####.##..#.#.###.##...##.#..##...#.##.###..#...#..#....##.#..##..###....#..##..#.#.#####.##.###...#...####.###.####...###.#.#..#....##.#..#...#.#.##.#..##.#.####....###.##.##.....#.#.##..###..###.####..#.##########....####.#.#....###.##...#...###..#..#.....#.##.###..##.#...#####.##.#.....#####..###...........#...###.#.....##.#...#.###..##..###.#####.#.....##..#####.##.#..######.#....#...#..##....#...#######.#####....##.####..#..###.#.#.#.#...##..#.#..#.#######...#.###....###...####.#..#.####.###..##..#..##..#.####.##..##.....#.##..##....#.#.#.####....##.##.##.#..#...##..#.#...#.##.#..#.#...###..####...#..#...#.#...#####.####.#....###....###....###..#.....#.##..########.#.###############.##..#.#.##.###...###...#...#...##.##.#.#..#...###..#.#.#########..#..#####..#.##..#.#.....#####..#..###..###.....#.#.#.#####....###.##..#.#.#...###.....#.....#.##...#....#.##.#......##...##...##.......#...##..#####.#........#..##.##.#.###.####.#.#####.##...#.....#..#.##..##..#..#...#....##..#.#..###....####...############.#####.#..##.####.#.#...##.#.#..##.###.##...###.##.#..#...#.#.########.###.##.##.####.#..#####.#..###.##.####.#.#..###..##...#.....##....#.#..#.###.##.#.#..#.##..#..##..##..##.##..###..###..######.#..#.###..##..#.##.#.###.#..##..####..##..#....####.#.#.....##..####........#####..##.#########.#.##..#.#.#..###...#.#.##.#...##..##.##..####..##..##..#....##.#..#..#.#..#..###.#.#...########
#..##..#.#....##.##......####...######..#.#.###.#######..####.##..#.##......####.#.##.###.#.#.##.##........##..#.#.###.#####.#####.##...#.#.###.###......#..#.#.###...###.#..#...........###.#######...#...#.##.#.##.####...#.###.....##...#.#.###....###....#.#.##.....###.#######..######.####.........#.##.#...###.#.##..##.#...###..#......#...####...#...###.#.#.#####.#...####..#.#.#.##############.##.#.#####....######....##..##..#...#.#.####.#..#...#.#..##.##..#.###.#.....##..##.##.##..#.####.....######...#######..##.#........#.######.##.####.#...##....###....#....###.##...##.####..#....#...#......##..#...##.#.#..#.#####.#.###..###..#.#...#.#...##.#.#....#..#.######....##..#.#...##.#...#....##.#.#.##..##.#.....#.##.###.##.#.....#...#.######.#..##......##......#..#..####.####....#..###...##....##.....###.##.##..#.#..#.#.......#.....#..#..#...#.#..#.....#.###.#.#.##..#.#.#..#####.#..##.####.#.####..#.#..#.##.#.##....##.####..##..#.#..##.#.#.##.#####.#..##..#...#####.###.#.##..####.#..#..##...####.....##..........#..#.#.#.#..##.##.#...##....##..##.##.##...##.##.#.##.###..#.###.####..#.##.####..##..#...#.#####...#.....#..##...#.#..#.##..##.#########...#....##...#...#.#.#..#.#..#....#.#####.#########.#.##..###...#.#.....#.#.#######....##.#.....##..###..#..#.##.##..##.#....#.......##.##.##.....####.#..##.###.#.#.##.#.##.#.....#....#.##.#######.####..#..##.#.##.#..#.##....#.#.#....#....##..#..#...#...##.######.###.#.#.....####...##.##.##..##.##.#####.#..#.###.##.#.#.##.....##.#.#####.##.#......#..###..#.##.###..##.#.##......##.....##.###...#.#...#....#..##...###.....##.###.#.####...#..#.###...#####..#.###.#..#.##..###..#.#.#..#....##.#.###.###.....#...###....#.#.##...##..#.#.#.#......#.##.##.....###.#..#.#.##.##..#..#####.#.###..##..##.......#.#..#####..#.#.#..#.........#..###..#.....#..#..##.##.##.##...###.##.#.#..#.#####.#..#.....##..#.#.##.#...#..#.#......#...##.#.#####.##.#.#.##.###.#....#....#.###.##.##.#......#.#.#.#..#.##.###.###.##.##.####.#####.#.#.........##.###..###..
####.##...#.#..###....#..##.#.#.#.#..#..###.##.#..#..####..#.##.####..####..######..###.#....#.###....####.#.###.###..#.#.#.#..#.##.#######.####.#..##.###..##.####.##.###.#...#..#...##...#.##.#...###....###....####.#..#...#..##..#.####....#..####...#...##.#.#....#.#.#.##.#.###.#.###.###.#.#..#.#..#.#####..##...##.......##....#..#..#.##.##.#.#..#.#.##....#...#..#..#...##.##..#.#...#..##..#..##...#.###.####..#.##.#.#...#...#.##.........#.##.##..###.#.###.....##.#..#..##.#.########.....#...#.#.....##......##.#.....#.##.....##.....##..#....#..#..###...####.##.##....#..#.##...##.#..#.#....##.#......##.#####...###.#.#..#.###...#....#.##....#.#..#.#...#.......#####.###.#.###.#...#.......#...####...###..###..#..#.#.#..#...#####.#.........#..##...#..#.###.##..###.##.#######.##.#...#..######.#......#..####..#...#.###..##.#..##.###.....###..#####.###......##...##.#.######.#...####.#..##.##..#.###...##..#......#..###.##.#.##..#######.####.#.#.###...#..#.#.#.#.#..#..#..###.#..###.##...#....#.#.#.#..##.......#..###.....#.#.##.#..#.#.#.#.#.##.####.##..###..#.####.###.#..#########..####..#..##..##.#.......#..#.###..#....#.....#..#...##..######.##.#.#.######........####..#..#..#.##..#..#.###....#####.##....###.#..#..##.##....##.#.##.##.......##...#####..######.##...#.#.#...#.##.###..#..#.#..###...#.####...###.####.#.#.#..###....#.##...#.###.#....###.#..####.#.#.#.######.##........###..#.#..#..#....#.#..#....#..###.....##...##.....#.##..#.##.#.#.....###.#..##.#.......#.#....##...#.#....###.#.##...#....##.......###..#....#.#.#..###.###..###.....###...#.#.......##.#...##...#.#.##.#..###.#..##.#.#.....###.#######.#.....###..##....#..#.####.##...#.#####..#####.#.###.#..########..#.#.###..######..##..####.#.##.##..#...###.#.###.#.##..##..#....#....#....###.###..#..##....##.....##.##.###..#####..#.#..#######..###..##.##.#.#.#.###...##.#.##......#..#..##.##.#.#.##.#..#....###..#.#.###..#######.#..###.##.#..#.###..##..#....##.###..#####.#....#...##.##.#.##.####....#.##..###.##.#.#.######..##
###......##.##.#..########.#.##..####..##.#...#.###.#.##....#...#..#..#....##.....#.##...#...####.#..##.#..#.....##...#....###...####.....#.#..#..#...#...#..#.....#.##...#...##..##.##....#.....#...##.####.###.###...##.##.###...#.##..##..#####.....#.#.#.#.#..##...#...#.##...###...####..#..#...##...#####..##.##.#....##........########....#.##.....#.##.####.##.##..##.#.#.#.###...##..#...#.....###..##.##....#####.##...#.###........##...##.####..#..##....####..###..#.#.##..#.#.#.##.#..####..####.#..###.#######.#...#.###..###..##..#.#.####...##.#####......###....##.#...##..##.#..##..####....#.##....####..#.###....#...#.##....####...###....##.....###.##....#.###..##.#.##..#.#.#..#.#####..##..#..#..##..##..#...#...###...##.####.#.###..####..##......#.#..#####..###...##.##...#.###.###..##..#####..#.#..#.###..#.#...#.#..#..#..#...#.#.#.###....#..###.#..##...#...##.#..#.#..##.#.#.##.#####..#.####..#....##..##..#.....##.#....#.####.#.##....####.##.#.###.#..###.#...##..#.##.#######.#####....##..##..####.###...##########..########.####..#.##.##....#.#######.##..#..#..###.#.##.#####..#.##..#.##...##.###.#......##.###.#####.....#..####.#...#.#..###..###..##.#.###..#.#..#.#..###.###.....#...#.###...#..##########.#.....##.###...##.###..####.#.#...##..#.#.##..##.##...#..#.#.#...###.##.#..##.#...##.#..####..###..####..#.##.#######.#.###.#....#...#....##.####..#.#.#...#..#.###..######..##.##.###....#....##.....#.#.###.#..#.#...#.##..#.###..##.....###.##.#...#...##..#..#....#.####.###.##..#.#.#.....#####.##.###..###..##...#####...##.##...##..#.........##..##..#..#.#.##..#..#.####.###.##.#.#.##.#..#.#..#.#..##...#.#####.###.####..#.#.###..##..##...##..#..##.##.##..####.....##...#....#..#.##...##.###.###....#..####....###.#.##.######.#######.##.#...#.......#.#...###.#.#.##.#######...##.##...#..##.#..###.#.#..##...##..##.#....####.##.##.#..#.##..#..###..####....#...#.#######..#.#.....####..###.#.###..#...#.#.##...##....##....#.####.#.#####..#.#...###..#..##.#........#.#.###..##...##.######.
.##...#.##.#.....#.###.######.#.#.###...##.##.....#.#.##.#.......##.#.####....##.###.#.###..##.######..##.###.###.#...####..##.#.#.##.#...#...#.#.##...#...#.#.##.###.####.#.###.#..####.####.#..###.#..#..#..##..##.##..####..#.##..#.......#.##...#.##..#.###......##..#.###..#..#.##....#...##..#...###...###..#..#.#.#...####.##.....#....#...#.#.####.##.#.##.#...#..#.#.##.#...#..#.#........#.##.####.#..#.#.#....#..#.###..##..#.##.#....####....#.#.##..###...#.##......#...####.##..####...##.#.#..####..#.#.###...####.##.###.#..###...###..####..###.###.#.#.....#...##.##......#.#...####.#..#..##..#####.#..##.#.###.###.#....#.###..#.##.##.##..##...#.#....#..####.#..##.#..##.....#..#..##.##....##..###.##.#..#.##......##...#.#.##.#####.#.###.#.#..###..##..########.....####.###.###.##.#####.#..#.#.####...##.#....#..#..##.#.####.##.#....#.#..###.##..##....#.##.#.#..#######...#...#..#.#..#.#.#..#..####.#...#..##.#...#.##..#..##..#..#.#..###.###.###...#.##....##..#.##...#.#.#####.....###..#..#...########..#.#.#.#..###.##..#####.......##..#.#..#.#...#..#..##.#..##.#####.####.##.##....##.##.#.##...###.#..#####..###...#..#..#.####.###.####.####.#####.##....###.....#.##.####.#..##...###...#.#...#......#.#..##.#.#..#...#..#..#...####...#.##.#..#..#.#...#...########....####.....##.##.######..#...###...##.####.##....####...####.##..#.##...#.#..#.##.###...#....###..##.#.#.#.##...##.....#######..##....#.##.#..##.#...#.#..##..##..#.#.....##.##...##.#.###.#..##.###...#.###..##..#....####.....#####...#.#..#####.#...#..#..##.....##...#.#....#.#.#....#.##...#.......#.#..###.##..#.#.#.#.#...#..#.#.###.###.#...###.#.##.#.#..#.#.#.#.##.#####.#####..##...#.#.#..##.###.....##.##.#.##......#..####.####.####.#.####..#.##..###..#..##.######.##.##.###...#...##..#...####.##.####.#...#...#.####.....#..####.#####..##...#.#.#..##..##.#...####....#.###..##.#..#.###..#..#...##....#.#####.##.##...#.###.#.#.#.####.###..............####.......##..#..##.#.##.###...#..#.##....#..#.####..##...##....#.##...#.###.#..#.#
...##.#.##...##.##...#...####.....#....#..#.##..########...#.####.#..####..#....###..###...#.#..#..####..##.#....#...##.#..##.#.#........#..###..#..###.##.#..###...#...#.#...##.###.##.#..####.#.##....##.####.#...#.####.#.#....#..##.#..####....###.##.###....#..#.#.#..####.####.##.##.##.#..###.###.###....#########...###.#..###.##..#...##...#...#.###.##..#.####.###..#...##...##..##.###.#..##.#.##.###...####.####...#.#.#..#...##.#...#####.#.##.#.###.....#.##.##.#..##....##.########..##.###..##...##....#######.#......##.#.#..##.....###....##.##.###.####.##..#.######.##..###...###.##.#.#.####.#..#..##.#.######.##....#..###.####.##.###.##..#.######..#....##.#.#####.....#.#.##....#..###.#.#..#.#...###.##.#....#.#....#.#.#.####.#..##.##..##..##..#####.#..#.#..###..##.#..##.#########...#..#.#.#..#..###..#.#####..##..###.##.....##..###..#.##.##.###...#....##.######..#.....#.#...#..###..##.######......#.##...#..#.#...##.#.###..#.###.##.#...#...#..#.###..#.#.##..#..##..######...###......##...####....#...##..#..#.##.##..#....#..#.#.#.#.##....#..#...#..#...#...#.#..#.####.#..#.#.......###.##...##.##.##..###.#.#.###...#.##..#..#.####.#..##.#..#....#...#..#..##..#.##...##.#..#.##....#.#..##.#.###...#.#.#...#....##.#####.#..###.##..##..#..##.#..##...#.###....#.#.#.#.#.###..#..#.#####........##.####....#.#.#.##.#..###.#..###.#..#.#..###....##....#.#.....#.######..####..####....#.##.#.....#.###.##.#....#####.##.#.##.######.#.##..####.######.#.####.#####.##.###.#.#......#.##.##.#...##...##...####..#.#.#.#.#.###.#.....#..#..#.##....#..##.#.##.##....###....#.##.##....###..#.#..###..#..#.##.#....#...#.##.....###..#.##.#.#.#####.#..#..##..###..##...###..#..##..#....#.....####...#.###.####...##..##.##.##.##.##..###.###.####..#.###.#.#.#.#..#.#...####.#.##..######.########.#...#.#.####.#.##.....##.####.##..##.......#.#.###..#.....#.#.#.##.####...##.#...#.##.#...#.....##.##.#.##..##...##..#.##.....#..##.#.#...#.##.##.#....#######..####.#.####.#.#.#.#..#..##.....###..##...#....#.####...##..#..#
.#.#####.##..#..#...#.###.##..#.#....#.###.##.#..#..###.#.....#.#..##.#...#.#.##..#.#.#..#..##.#.#...#..##.#.....#....#..#.#.#.#.##.#...#.#..##...##.#......#.##..#.#...###..###....###.##........##.#...#.##....##.....##..#####...##....##.#.#.#......###.##..###.####.#....##......##..#.#...###.#.##.##.#.#..#....#.#.####.#.#.##..#..###..#...#....###..#.#####.#.#..#####..###.#.#.##.#.##.#...#.##.....###...#...#.###.#..##.#...###....###.########.####.##.#.##.....##.#.#..#...#..#.......#.##.##.#...##.#.......###.##..#..##.....##.##.#.#.#.#.####..#####......#.#..####..##.##.###.###.....#.##.#.#...#.##.#.#.#.##.##.#.##...###.#.##.####.##...#.#.###.##.##...##.#####.#.###.####.#.###.##...###.###.##.#......#....#.#.#.#..####.....###.#.###.##.#.#...###.##..#..#.#.#.#..###.##...#...#......##.######.#.#.#.#..#......##.#...###.#.##....#...#..#...#..#.#....#.####.#..#######..###...#..###...##.#####..##.#..##.#########.#.##.#.#####.###..#.#....####..###.#...##.###..########.#.####.###.#..####.#.#.##...#..##..##.#.##......###.##...##...###..###......###...#.##.#....#......##...####.#.#####.#..###..#####...##..#...#..##..##.###..##..###.#...##...#..#..#...##.#..#.###.#..#.#..#.#.####..##..##.##.#.#..######.##.#...####.#.##.#.##....##..#...#..#....#.###.###...##.#.##....#.#...#..#....##.###....###....########.#...######....#.#.....#.........#....####...##.##..##.....#.#..#####.##..#..#.#....##...#######...###..#.#####.######..#...#.#.#....###..#..#.#.###..#.#.##.#.##.....#.....#.##.###..##..#.#########..##.#.......##..#..####.##.###..#.##.#.######..####.#..#..#...####.#..#.####...##........##..#...#.###.#..##.##.###.##....#...#.#...###.####.#.#.####.#..#.#####..#..#.###..#....###.###.#.##.##.###...#.#.#####..#....####...#######..#.##.####...#.###.#####.....#.##.###..##.###..###..###.#..#######.....###..##..##....#..#.#..###..###..#..#.##.#..##....##..##..#.##...####..#...##..#.##.##..##...###..#.#.##.#..#...#...#.####.##..####.#..#####..#.##.####.##..##.#.####..####...#.###.#.#.##......
..#..#####.#.#.##.#...#..###..##.#.#.#.###.#...#.##....#.##.##..#.##..#.#......#####.#.#..#..#####.....#..######..#..#####....#..#...#.#.#.##.#####.#...#..###..#.#.#....#.####.##..##..##..#..##.#...###..#.....#.#.##.######.##.##.#..##.###..#..###.#.##.#..#..#.##.#.#..#..##..#.##.###.....#####.###.##.###..###.#.##.#.#.###########.##.#....#..#.#..##..#..#.####.##.##..##....###.##.#.###.#...#...#.###.....##...#...#.#####.#...#####..###..##.....#.#..#.####..##..#..###..##..###.####.###.#.#..####.#..###..##..#...##..###...#..#...##.#######..##.####.#..#....#.......#...#...#########.####.#..#...#####....#..###..####.##...####.#..##.##..#..###...#.####.#.#.###.##..##..##.##.##.#....#...#..###..##..###.#..##...##.##.####.#...##.#.####..####..#.#.#..#...####..###...###.#.##.#......#.##.###.####...##.....##.#.#....#.....#.......##....#######.##.#...#####.#...###..##...###.#.##..###..#####......##.#####..##.##.#...##.#..#.####.##....#..#...#.####..#..########..#......#...#.#####.####.#.#..####.####.#..##..###.##.###.###########..###...##...##.#.######..####...##.....#..##........####..#.....###...##..##.#...#.#.#.##.##.#.#.#.#..#.##.###....######..#.#..######.####..##.##.##...#####.#...#....###....##.#.#.....#.##....#..##..#.#.#..#.######.....##..#.#.#.#####..#..#...#.######....##.#####.##.#.#..##.....###.#.#...##..###..#.#.##..###.##.....###...#.#####.#.#.###.##..#..#...###........######...#.#.##.###.###.#....#..#.#...#.##..##.##.##......##.##..#.##..###.###..##.###.##.....##.#..#..#.######...#..##.#..#.###...##...#.#.....#.##..####.#.###..###......#.#.#####....#..#.#......#..#....##....#.####.#......###.##......###...##..#..##...##....#.#.#.##.####.#......####...#.#.#..##.#..#...#####..##..##.###....#.##...#..##...##.##.#.#.####.#...###.#...#.##...#..#.....##...#.#..#.....#..#.##..##..##....#....##...##.###...#....###..#..#..##....#..##..##.##..#..###.....#..#...##.#.#..####.#.#...##....#..##..##.#.#.##.##....#.#.##.#..#..##.#.#..##..##.#.##.##.##..##..##..##.#####....##.#.#
##.######.######.######...##.##.####.##.#.#..#...#..#.....##....####.##..#....##.####.####..#...#.......#.#.#..###...##..#.##..#...#..######.....#.....##...#..##.#....##.#..#.###...#.##..#.......##.#..#.....#...##.#.#.....#.##.#.####.#...#..##..####.#..###.####..#...##..##...##..#...######..#.#.###.###.##..##.......#.#..#.##..#...#.....#....##.#.###.###....####..###.##.###....####..##..###.##.#...###.######....####.##..#..##.....####.....#.####....#....#..#.###..#.####.#####.#.##....####....#...##..##.#.##.###..##...#.##...#..#..##.###.###.#...#..####.....#.#.....#..#.####....#......#.#...##...#..#.#....###.#.##..#..#..####.#..###.#.#.#...###....#..#.#####..#...#.#..#.#....##.#.#.#..#.#.#.######....#..#..#.#.###.#...#.#.###..#....##.#........#.####.##....#.##...###...##.####...##.###.##...###.##.#.#..#.#.##.#.#....######.#.....#.##.##.##...........##...##.####.#..##.#.....#..##..#.....#.#...########.#.##..#.#.##.##....#.#.#######..#..##..##...#..#..##..#.#.####.#.##.#.#.###.#...###..#.###.###.###..####..#.##.#...#####.#....########.##....#..#.##....##...###.##..###..###.####.#.#..##..#.#.##.##.#.##.##.##.....#..#.#..##..#..##...##.##..#.##...##.....##...##.####.....##...#...##.#######.#.#..##.#.#...#.####...#..#.........##...#...##.....#.###.#####.##...#..#...###...###.###.#.#...#..#..#..##.#.##....#.#.....#..##..###.##.#.#..#####.##..##..#.#..#.#.#...#.##.###.......#...####.#..#.#.##.#..##..#####.#...###.#..#.#.###.##..#.#####.##.#.#.###.#.#.#...#######..##..##..#####.#.#.#.#.#.##.#.####..#.#..######..##...#..#....####..#.#......#...####........##..#....##.##.#..###...###.#.#.#.#.#.#.#..#.##.##..#######.###.##.#..#.#..##.#..###.#.#..#.###...###.#..#.##.##...#.#.#.#########.#...####.#...........##..###.##.#....##.#.#...##..#..###..........##..#.#.##.....#..####..###.##.###..#.#..#.####...#.#.####.#..##.#...##.####.....####.#.#.#####.....#..#..##..#.....#.#.##.#.###...#####..##.##...##.##.#.#..##.###.#.##.######.....#.....###.#.######...#.....##.##...###.##..######.#
##.......##...####...#.#.#####.###.###..#..#.###..##..#.###..###..#...#..#.###.#....#.#..#.###.#.#.#....########...#..#.#.##..#.#####.##.##..#.#...#...###.#.#.#.#..#.#.#.###.#.####.#.##.##....######...###..##.......##.##..#....#......###.#..#.####..###..#..##.#....##.##.#...#.#..#..#..########...##..##..####.#.#..#.########..########.#.####..##...#.#.###...#..#####..##.#####...##...##.........###..#.#..#.#.##.#..##.#.#...##...#.####..###...#.##.#.#.##..####.##.#..####...###.####..###....#..#.##...####.#...####.#...##..#.#.#.#....##.#..#...#....#.###...##.#####..#.#..#..#..###..##.#.######.#.##....#.##.#.##..#...##.#....##########..###..##.###...##.##.###..######.##.#.###.#.#.#...#....###.#.#####.....##.###...#.####.###.##.##..###.#...#..#.########.#..###..#.#....#..#..#...#..###.####....#...#....###..#.#.....#.#.#.#.##.#........####.#......###...##.##.#.#...#..##.##.##...##....#..#..##.#..##.#...#.............#####.##..#.#.#..#..###.##.#.#......#..##.#..##...#.#.#..#..##..##.##.#.#.#..#.##..#.#...##.##.#.#####.#...##....#.##..#..#.###..#.#.####.####.##...#.......##.##.##..#.#.####...#...#.#.##.###..##..##.##..###.#....######.#.....##.#.#..####.#.#.##....#.#...#..##.######..##.#.###....#...####.##.#######..##.##.....#..###.#.........#.####..#.....#...#####.###.##.....##.######...#.##..#...#.##..###.###.#..#..###.#.##..######..#.#...#.##.#..###...#..#..##..#.#.#..#.#######...#.#.....#...#.#.#.###.#.#..##.#.#.#.##...##.#.#.####....#.#.#.##..##.......#..#.###..###.#####..#.####.###...#.#...####.#.##.#.#..#.....###...#.###...###..#####...#.#.#####.......#.##.##.###.#.#.#.#.##......#.####.#.#.#.....###.........#.#..##..###...###..#..#.##..#...###.#####...#.#.#....##.##..#####....####..##..##....#.#.##.#..####....###.##.###.####..##.###.....##.#..#.#######.###.#.......#..##........#....####...#.#.#.....#..#.##..##......####...#....####..#..#.#..####...##.###..#.##.##..#..#.######.#...#..#..#...####....###...##.##....#..####....###..##..###..###.#..##.#.#.###.#.###.#####.#.
#..#..#...#.#.#.##.######.#.##...###...#..#.#.#.#..#..##...#.#....#.#.#..##....##.#..#####.#..##.######...#.###...##.###.###....#.#....#.######.###.##..#...######.#.####.##.#...##....#..#.##..##.#..#..#.#..#...##.##..#.#..##...#.#.##.#.....##...#.#####.#..#.###..#....########..#.##.####.....#.##.#...########..###...###..#.##.##.###.#.#.####.#..###.###.#.###..#..#...#..###..###..###...#..#...#..######.#.##.#..#.#....#####..#####..#....#.###..##.....#.#....#..#.##....#.###.#...###..###.##.######.##.#...#....#####.#..#..##...##.#.#.#..#.#....###.##..#.#.#.#.....#.##.###.###..#.#....#...###.##.#.##..##.#.#....#.....#..#..#.###.#...####.#....##.#.....#.#....####..#..##.########..###.##.#..##.####....#..#.....###....#..#.....##..##.##.##.####...##.##..#..####.#..##.##..##..##.####.....#.###...###.#.##.#.##..##.#..#####.#..#..#...#.#...#.##.##.####.##..####.##..##.####...#####..#####.#.#..####.##.#.#.#..#.#......##.#.#.#.#.####...##..###.#...###...#.##.#....#..###.#.#..##..#....#.##...#....#.###.######.##.####..###.#.#.#.#...##...###.##..##.##...##.##......##.###....#......#####.###..##.##.##.##.#.#.##.#..##.##..##.####.#.###..#..###..#.#.#.#######...#.#..##.##.#..#.##...#..#.###.##..#..#.##.#####.#.#..#..##.##.##.###.#....#.#.#####......####.##...#####..#.#.###...###..####.#...##.#..##...#.#.#.##....#.#...###.##.####.#..###.##..#.#.#.##....#.#.....#####.##...##..##.#.##.#.#.#######..#.#..###...##.##.##.#..#######.#..##.#..#######.##..##.###.#.#..##....#.####.##..##.#...#..####..#....###....#.#.##......####..#..#.#.##..#####..##.#.#.#.#..#.#..#....#.####.#.#.#..#.##....###.#..##.###.##.###....###....##...###..###.#...#...#..##.##.#.###....##..##.##..##..##.#...######.#...####.#...##.....#.#...#..###.....#..#.#..###...####.##.##....###..##.#.....#....####..#..###..##.##..##.##.....#..##.#....##.#....##....#.####..##.#..#...#..#.#.###...##...##..####.###.##.#.###..###....#.#...###.#...##.###.##.####.####...##########.#.##.#.#...####..###.#.#....#.#.#.....#####..#.#.....#.#..
###..#.#............#.##.#.#.#.####.....##.#.###.##.#..###.#..###.#.##...#.....###..#...#.#..##..#.####.#.#..#.#..#.#.##.....##..#..##....##.#.#..##.#.#.#...##...#.#.#.....#.##..##.#.##.###.#.....####...####..####...##..#..#.##..##..#######.#....#.#.#.#..###.###.#.#...#....#.#.##.#...##.#.##..##..##..##...#.###.##.#####.#.##.##...##..#####.#####.##...##.....#.##.####.##.#.#.#.###..#....####...#.#.##.###.##...##..#####.###..#####...##.#.#..#..#.#...##.#####..##.###.#...####.##.#.#.#..#.#.#######...#...##.###.#.....#.###.#..#####....#####...#..#.##..####..#.###.##.#.####.##.####...##.####..#.#.##.#...#....###.#.####..#.#.###..####.##...##.#..##.###.##...#.###.#.###..#.##...##..########..#...#..##..........#.......##..####.#..#......#......##..###..##.#.....#.###...#.##.#.#.#.......#.###.####...#.####.###...#..###...######..#.##..#####.#.#####..###....#...###.#.....#.#......####...###.###.##.##..###########..##.##....#..##...#...##..###...###......#...####.###.....##.###...#....#.##..#..##.###..##.##.#.#.....##.#...#.#..####...#.##.#.#.##.###.#.#...####..#...#.##..#.##.#...#....######.#.######..#..##....####..#..##.#...##...#..#..#..##..###.#.#.#.##..##.##....#######.#.###.#.##.#...#.#..###..###..#####.#.......##..#.####...#.##.#..###.###.##...#....#.#...#.####.#..#..#.#..###.##..##.#......####.###...#..#.#...#.#.#.##.##...###.....#...###...####.#..#.#.#.#...#.#.....###........###.....##..####..###...#..##....######.##.#.....#.##.##.#...#.#.#.#....##....#..#....#..#..#..##.....#.##.#..##.#..#.#.###.########.#.#.#.#.###....##.##..###.##.#.##...###..#..##.....#.....#.#.#..#.####.#......###..##.#.#.###..#.##..#.##...##.##...#..#..#.###.#.###..#.######.#.##..##.#...#.####.#.#..##...##.#.#....##.#.##..#.#...###.#...##.#.##...#.####.....##.##.#.##...##.###.##..###.#.##.##...####...#..####..#.#..#.#..###..#...#.#..#..#.####.##.###...###....#.###.#...####.##.###....#.#.#..#.#....#..##..#...#....#..#..##...#..#.#.###.##..#..##....#.#......#..####.....##.###.##....##..#.#.##.##.
##.#..##.#.#....#.#..##.#..##..#.###.######.#.#.####...#.##.....#.##..##...#.#.##.##.#.#...#.#..###.#.#.#...##.....#..###.###...#####.#..#####.#..#..#.######....##...###.#...#..##.#..#######...##.###........##..#...##..#.##.###..###.##.##...#######.....#.#.##.##.##.#...##....#...#...#...#.#.##...###.#........##....#........###..##.#..####..#.##....#.#.####.####..#..#.##.###.##..##...#.#.##...#.#..##.######...#..##########......####.#.#.####......#####...######.#..##.#.......#....#...#..#.#.##..#.###.##..####.#.#....##....######.##.##..##..#.#..#.####..###...###.#....#.#..##..#.#.#.#.#.##...#.....##......##..##..#.##..##...#..##.....#.#####.###.....##..#......#.#..###.#.##....###.#####.###.######.##..####.#...###...###.###.#.#.#.##.##.#.#####..#.....#...##.#.##..##.##..#....#...##..##...#.###.##.##....####...###.....####...##.....####...#.....#.##.#.###.#######.#.##.##.##.....#.#.###.#....#.#..#########..#.##.#......##.#.######.#..#.#.#...####..##...#..#.....##.###.##..#.......##.#.#.#.#.#.#.###.#..#..#.#.##.#.##...#..###.##...#.##.#.##.#.##..#...#..#.#.#.#.##.##.#.#.#...#.#..##.##.##..###.#.##....##..##..#...#...###.##...#.#..#...#..##.####..##.#..#..#.#..#.###..###.####.#.#....#.#....#.#.##.##.....##.##.#.##..##..##.###.##.#.#..#......#####....#..#.#.##.....#.##.##.#..###.###..####..##.##.###.#...#..#.##......#..#.#.....#.##.#.##.##...##..###..####....#.###.###..#.#.#####.#.....#.#.##.#...###.###.#..#.#....###...#...#.....#.....####.##..#.#.##..#...####..#.###.###.##..##...#..#.#######...##....#.####....#....#########...##.##.#.####.#.#..#..#..##..#.##...#.####....#...###.##..............#..#.##..#.##...###..####..#...############.##.##.##..#.###..#.###.#..##..#####.#..###..#.#.##..##.#...#.##..#...#..###.#.#.#####.....#...#..#.#.#.....##...#.#####...#.##..#####.##...#.###.##.##...#.#....###.##.....###....#######.#.#.#.###..##...#.#..##....#.#.#.##...#.#.#####..#....#.#.###.#....###...#.####.#.##.##.####..##...#.#.#....#######.##..#.#..#.#..##..##.#.#..###....#....
#..##......#.####.#.#..##..##...##.#####.#..####.###.#.#.######..#.##..#......##.#.###.####.#.###.....#.#...#..##....#..##...#..###.##..#.##.#.#.###..###..##..#..##.#.#.....##.#.#.....###.#.....#.###.##.#.#..#..##...#.##.#..#...#.#.#.#..####.####.#...#.#.#.................####.#..#..####..#.##.##.##...######.#.#.##.####.#.#..###.....##..#.....##..#.##.#...#..#....##..###...##.####.##.#.##.##.#..#.##.#........###.###.##.#..##.##.###.###..#..#.#...#.##.###.##..###.#.###.#..#.#.......#.#.#.######...####.#...#.#.##..#.####...#.#....#.#..###.########...##...#.#.#.#.###...###.##.#....##..#.###...#.#####.###..#....##..##...######...#.#...#.#.......#.##.....###..##.....#.##.#.###..#...#####....#.##..##.#####..#.###.#......###..###.###..#.....#.#....###...#..####..#..##..#..#....#...##..###..#...####...#...###...........###.....#####..####.......#.###.#..##..##.#.#####.##...#..####..##.###.####.####.####.#.#####.#..#...#....##.#.....#....#.##.###.#....#..###.##...##.##.#######..#.#..##....###...#..##.#.##.##.###..##..###.#.########........#....#...#.##.#.##.#.####...#.##.####..##..##...##..###....####..###.##.##..#.##.....#..##....###.#####.#####.##.#......#......###.#.#.#..#.#.#..####.##.#.##.##.######..##.#..###....#........#.#.#..##..#####.###..#.#####.#....###......##....#.....#..#.#.####...#.#..#.#.#....##.##..##...##.###......#..####..##.#.######..###.#.#..###########..#.....#.#.##.#.#.#...#.#...######..##########.......#.#.....#.....###.#.#.#####......###.##...#.##.####.......##.##..##....#.###.##...#.#....##.#.#.#####..##....##..###.#.#..###.#..#####.###..#.#...#..##.#..#.#..#.##########....####.#..#.##...##.##......###.#......#...##.#...##...##.###.###..#......#...#.##.#.#.###.#.....#####.##....###..#.##....#...###.##...######.##.#.#...##.###.##.#...##.#.####..####.####.###.#.###.####.###.####..#.#..#.#.####.#..##..####......##.#....##.##.....#####.#..#....#..#...####.....##.########..#...####...###...##..####.##.....#...##..##.#..########....#.####.##.#.#...#.#....
#..#..#.##.###..#...##..###..#.#..##...#...##.....#.###.##.#.##..#..#####......##.#.##.###...##....#...##.####.#...####.##.#.#.###..#.#..##.#.##.#.#.#.#.##.#..##......####..##.#.##..#.#....#..#...##.###....###....#...####.#....#..#...####.#...##..#..###...#####..#####..####....#.##......####.##......#.###..##..#....###.#..#.#.##....###...##.####.####.#.##..#####.#.....##..#....#.##....###..#..##....#####...#.#.#..###.#.##.##..##.#....###.#.###.....###.###.#####..#...#...##...####....##.##.######....########..##.#..###.#.#..###.#.#...#..#...####.#...####.#..#######.#........#.###...#.##...##..#.#.#.#.#.##.#.##.#.#.....#.#..###..#.#.##...#####.#######....#.#....###..######..####.###.#.....#.#.#...#..##..#.#..###...#.#.#..##########..#.###..##.#..##.###..#..#...##.#..#..##.#...#.##....######.#..##...###..####.#...#.##..###.#.#.#..#....#.###....####.#..#..#...###.....#.#...#.....###..##..#.....#.##.##..##...#.##..###.##.###.#.##...##..#...###.#..#.#.##.#.###.######.#.##.#.#.#####....##..#..#.####....##.#...#..##.##...#.#.#...##.#.#.#.##..#.####.##.##..#####.#...#####.#..#.##..#.########.#..###...#..#####.#.#.#..#.###.....##.#..##.###...#.##..#.###.##.#.##.###....##.##.#........#....#.#.#.#.#..##.#####.#....#..#.#...#.##...#.....###.#.#..##..##.#..#......#.##..#....##.###.#.#.#..##....#..#...#####.#..#.##..####..##.#.....#...##..#..#..##.#.......##.#..##..###..#.#...##.#.#..#..####..#######...#..#.#.#.#.###..##..##.....#.####..#######...##.#.#.#.###.###.#.###.####.#.###...#.#####......#.###.##..#.###.###..#.####..#....###....##.###.######...####.####..#..#.#.#...#.#.#...#####.#.##.#..#...#...#..#.#.#..##.#.#.......#.##........##...##....####..#.##..######..#......#.###.#..##.##.#.#..#.##..##..#.......#.##.#.###.########.###.####.#.##.#######.#.#..#.###.#.#.#.###.##.#.##..##...###.......#.#.#.##..#...#.###.##..#.#.#.###.####.......###.#..#.#......####...###.###.#...###.###..#.###..#.#..###..#...#.###..###..####....##.#..#.#.###...#.#..##.#.##.###.#.##.#.##.##.#.##########
....##.#..##...#..#.##.####..###.#####.##..####.#..#..####.###.....#.###...#.#.#.######.###.#.#..#..###..#.##....#.#..####..#.######...#####.###.###...#.#..##....#.##.#.#..##.....#..##..##.##.###....#.#..##...#..#.#.#.##.#.....###..###...###...##.######.###.#######....#......#..#.##.#.#.##.#..#....######...#..#####.#.####....##....##.###...##..#..##.##.#..#####.#.#.#.#####..#..#.#####.#.##.#####.####..##..#..###...#.#..#.....#..##..#.##..#.#.##.#.#.####..##.#......#..#..###..###.#...###.#..##.##.#.....#...###.......#.....#.#..###..###.#...##.##..#..###.#####.##.###..##.#.##.#..#.###.##..#.#.#####.##..#..##.......#.##.#####...#.#.###.##.#......####....#..##.##..##.##.##.##...#####...###.###..######....##.....#.###..#.#.#....##.##.##..##.#....##......##.#....#.##.#####.#..#..#.#.##...###..#...####..##.....##.#..###.###........##..#.#..##..#...##.######..##..###.##.###.#.####.......#.###..#.##.##....##....#..##.###.########..###..##....##.##.#######.##...#....##..#..#...##.#.##.#...#.###....#...####.#..#.##.####.....####......##.###.#.#######........##...##.#.##.#####.##.##.##...##.#.##......##..##.....###.##.#.#...##.####.#..#..#######.##.###..#.###.##.#..#...##..#...#.#.....##...##.#...#.#...##.#########.#.###.##..#..###..#.###.###.#.#..##.#......###...#.....####.#.....#..#.#..####...##..####...##...#.##..##.#...###...##..#....##.##..#.#.#.#.#.##..#...###..#..##.#..##.##.#.##..#..##.#..#.#.##.####.#....#...##...#.####.##.##.##.##.##..##..######.####..#..######...#...##...###......##.#.#..#..#...#..#.##..##....#.###......#####.###.#......##....#...#####.......#.##....###.#.......##..##.###..#.##..###..###.###..#.##.#.#...##..######.#.##.#.##..###......##...#.##..##.##.#.#...##..#####..####...##.#.#.....#..#.###.#....##..#...#......##.#.....###.......#..#.###.###.##..#.#######.#.#..##.###..#.##..#.##..#....###......##..#.###.....###########..#..#.#####.#.#.#...#######......##..###...###...###.###.#.###..##.#.###..#.....###.##..##.#....#.#.##...##..######.#...##.##.####
..#....#.###....##.#...#.#..#.###..#..#.#.####.#...###.###.###....####....#....##.#...#......###.#..#.....#.#..#.#####.##.#.###.##...#.#........#.#......#.#.#....#.#.#.#..####..######..#.##..#.##...#....#....#.#..###.#....#...##...##.###...####.#...#..........###..#.#.######.#.......#.###.#.#.###..#.#.#.#..###..##.###...#..#...#.##.#.#.###....###.#.#.###..##....#..####..##.##..####..##...#######...#....####..#..##....#.#.....#.#.#...#.#..#...#####.##.#.#.#.##..#...#.##..#..##..##.#...#####.#.#...####...#..#.#..##.##...#.#...#..##..#..#.#####.#.#.#.###.#.######.##.##.##...#..#.###.....##..#.###..####...###.##....###....#...#..###.###.....#.#.#.####...##.###..####..##.##.##..##.##..#...#...##.##...#....##.#.##....##.#.####...##........##...#....##.#.#..##..#..#..#...##.####.....##.....##.#..#.##...#...#...#.#.##.#....#.#..#########...###..#..##.......#.#####..#.#.#..##...#.###...#.#.#.#..#.##..#######.##....######.#..#.#.#.#.###.#.#..#....######.#.#..######.###.####.#.##.#.#.....#.#.#...#.####...#.#.#..####....#.###.##..##.....#.#...###..##.##.####..##.#..#..#...###..###.#........###..#.#..########..#.######.###.#....###..#..#...#.....#.#.#.##.#.####..#.....#...##.#.#...#...#......#..##.#.#.##..########...###.#####...#.###.#........#.##..####....#.......#####.##..#.##..#.....#...#...#.####.#.#.####...#.#..#..####.##...#..........##.#.#.#..####.#..###.###.#..####.#.####..##.#..#.#..###.#.....#..##..##...##.###...##.##.#.##.#.#.#.#......#....#.##...###...#...#.#####.#..#..#.#...##.#.#.##.####...##.#.....#####.###.###.###.#...##.#...#.#.....#####.#.###.#...#...#.#.##....#.####.#.##.#....#.##.##.#.#.##.#.#.####..###..#..###.######..###...####..#...#...##.#.#.###.#.##.#.#...#########.###.##...#.###.####.##..#.#....#..##.#..#.##.#..#.#.#.#...###..#...##...####.#.##....#.#...#....##..####.##.#..##.#..#..###..#.##.#.##.#...#....##.##.##..#.#.##.##.#.#.#...#..#.###..######.####..###.#.#.###.#..#....#.##.#.#.#.#..##..#.##.#..###.#......###.###..##.##.#.#.#.#..##...#...#...##...
.#.#.#.#.###..##.##.##.#.......###....#..###...#.#.###..#.#......#..#..#.######....######.#.####....##.....#.##.#..###.##....#..#...#.#.###.##.##.#..#.##.#.####.##.#.#####.##.##..#.#..#............##.#......#..#.#.###....###.######...##..##.#.#...#.#....##...#...##..#.##..###.####...##.#..#...##.#.#.###...#.#..#...#.#....##.#####.#.###.#..#.....##.##...#######.#..###...##..##..#..##...#..#....##.##.#.###.##....#....####.#.###..#.#..###...#.#..##..######.....#.###..#.#..####.####.##.#....#..#.##.##..##....##....###..###..#..##...##...##...#...#.#...###.#....#.###.#.##.....#.#.#.###.###.###..##.....##.#........##.#####.##..##..##.#.#..###.#.#####..#..##.....##......###########.#.#.#....#..##.#.####...#..#.##.#..#...#....#..#..##.####..##.####.#...###.##..##.##......##..##...#.###..#.#..#.###.#.##.####..#####..#...###.##.##.#.######..#.##.#.#..##.#.#.###.#...#.##.#...#....###.##.#####.##..##..#.##...##.....##.##..###..#.#.######..##.#.#...##..###.#..##...##.#.####..#.######.##.##......##..###.....##...#...#########..##...####..##...#...####......#.......#..#.###...#.....#.##.##....###..#..##.#.##.#.#....#..##..#..#.####.#.#.#..#.#.#.##.#.#.####..##.##..#..##.#...#..#.###..#..#....###.#..###....##..##..#..#.###..#...#.#...#...#..#...###.##...##.###..#.#...#...#.#.##..###.##.##.##.#.###..###...####.#.#..####....##..#...#.#..#...####.#.#.#..###..##..#.#########.#..#...#.###....##.#...###....####..###.##.##.##.##.##....#..#..#.#..#..####...##.##..#..#.#.##.####.#...##..####.#####..####...###.#.#..##..##.#..##.##......#####.#.#.#..###.##..#.###......#.###.##.##.###.#.#..##..##...###...###.#..#.#.##.####.#.#.#...####...#######..##.##.##.####.##.###..###......#.#.#..#.....#....##.###..##.#.###...#..###..#.#....#.#.#.#.##.##...##.#.#..##.#..##.##..###...##..#..#######.#......#.##.##.#..#.##..#.##..#.#.#....######.#.####..#..#.#..##.#.##.##.###...####.#.#.##...#.#.#.#.....#.#...####.#........#.#..#......#..##.#.#..#.###.#.#.#..#.#####.##..##.###...##...#.#...#.##.#..#.##.###.##
..#..#..#..#..####.#.#.###.###..##..#..#.#..###..##....#.#..##..#.#.##.##.#####..###..#.###.##...##.##.##.#......##..###..#.##...####...#..##.#.#..###.###....###.##.#.###.#.##.#.###..###.#...#..#..#..#.#####..####....###..#..###..##..##...#.....###.###.##.###.##.######....####....###.####....##.##..####..#....#.##......###..###.####..##.#.#.#...........#.##.#.##...#......#.##..###...#.#....#.##.####.#.#####..#....#.#..#.##..#.......#.###...##.#..#..#..#.#..#.#...#...##.#..##..#.#...###.......##...#.##....#.#..##..##.....#.#..........##..###.#.####.#.#.#####.######..#.#...#..#.###..#.#####...##.##.#.##.##.#.###.#...#.##....####..#.#.#..#..####..#.###..##..##.#.##...#.#...###.###..#...#.#.....##.##.#..#.#....######.#..##....#...######...#..###.#..#..#..####.#...#....####....##.##.####.###.#..#...#####..##...#.##..###.......###..###..###....####.#.##.....#.#.#..#..##.##..#..##.#...#..#.####...##..##..#.............##.###.#..###..#..##...#..#.##.##..#.#######..#.#.####..#.#......#.#####.#..#.###....#...#.##.#####.#.#.##.#...##.#..###..###.####..#####..##.##.###.#.#....##.....#.......#.#..#..##..##....#.#.....#...##..#....#.#..#.#..#######.#.##..#...###..#...#.#####.###...#.#.#######.#.####.#..##.#####...#.#.#.##.#..#..###...####..#.#.#..#.....###..###...##.######.###..###.#####.....#.#.#.....##..###....#######.##.#.#..##.###....#...##...#....#.##.##.#...#.#...##.#####..##.#....##.#...#.#..#.#.##....#....#####...####.#.##..#...###.#...###.####.....##..##...##.#.#..##.##.#..#.##.##.#.##..#..#...##.###..###..#...##..#.#..#.#####.#....#.#..##.##.#...#.#....####..##.#.####.#..##...##..#...#..#.########...####.##...#...#........##.####.#..#..##..#.##.....##...####.###...##...######..##...####...#.##....#########.###.##....#..#.#.....####.##...####.#.##.#.##...##.#.###.#######..##.#.###....###.##....#..#.#..#.....#.#.#.#...#.##....##...###.##..#..#.##......##..###.##.....##.#..###....###....#....###.#......##.#..#######..#.#.##...#.#.#.##...#.##.#...##.#..#..#.##..#.##....###.
......#####..###..#....#.##...##.#..####...##...###.#.##.#.#.#..##..##...#.##...####.#..##....##....#....##...####.#..#.####..##...####.........###..#..##.#..##.........######.....##.##..#..#.#.##..#.#.####..##.###..##...###.....#######.#...##..##.#.##.##.####.#.#.#.##.#.....#..#.#.#..###.#..#..###.##.#......#####.#..###..##.#..#.###.#..##.##.##.....###..#.###.##.....###...##.#...#.#####.##.#.#.##...#####..#.#.##.###..##.###....#..#....#..##.#....####...#..#.#...#...###..##...####..##.##...#.#.#..#.#.#....##..#.#..##.##...#.###....#..#######.#.#..#.#.#..#.##.###.#..#..#.#.#...#.#..#...#..##.#.#.##.###.###.###.##..#.###.##.....#..#.##.#.#..####....#.##..##...#..##..###.##...#...#.##.##..#.##.##......##....####.###.######.########..#.##......#.#####.#.###.#..##.#.#.#.....###.#..#.##....###..#.#..#....#...#......#..##.#####.##...###.##.#.#.#####..###...#.#..####.#.#.####.#.#.###.#..###......##........#.##...####.#..###..##...###.#.##.####.###...#####..####.##...##.##.##.#...#.#.....######...#.#..###.....####.####..#..#..##.###.##...###.#######..###.###.###.##.#.....#...##...#..#.###.##.....####..#..####.#.####.###...#.#.#.#.###.###.##.....#..#..#...##..####.#.######..#.#..#...#.#.#.###..###.#...#####.#.#.##.#..####.#....#..#.##..#.#...#.#..##.......###.###.......##..#.###.#..#.#...#......##.##.#.#.#..#.##...........###.###.##.#...#....##...###..#.##.#.#..#.#.#.#...##..#...#....#.###.#.#.#.....###.#...#..#.####..#..###.#.##..#.##.....###.#.#.##..#####...#..####.##.#.#......#.##.....#..#.#.##...#.#.#..##....#.....#....###.##.##.#..###..#......###.###########.#...#....##.#####..#.#.#.#...#..#..##..#.##.###.####.##....#....#..####..#.#..#.#.####.#...##....##...#########.##...####.......#.#########..#######..###..#####...####...#.#..###.#...#.#....####.#..#..#.#######.#.#.##..###..###..#..##.#...###.##.#.#.#.#..##...#..#..####.#.###.###.##.#.#.#######....#.###..#..#.#.#.###.#....##................##.#.#.##.###.##.#..##..####...#########......###...#.#...#.###...####.##.##..
....#.###.###...#...##...#.####...###.##.#..#...#...#.#.##.#....#.######.##..#####..##.#.##..#..###.##..#.###...####..##.#.#.#..#.#....#...#.....#..####..#.###.###.##..#####.#.##....######.####....#...##.#.##.##.##.#..###.###..#.#...##.##.#..#...#....#.####.##.##.....#.##...#.##.#.#....#....#..####.###....#..##.##.##..##..#..#.#..##.#..######.#.#..#.##.##.###..#.#..#.#..#.##....#.###.###.####.#...##.#.##.###...###...#.#.#..#....#####.#.#.#.#......#...##..#.##.##.##..#.####....####..#.#......#.#.####.##...##..#..#...#..#.#.####.#.##.#######..##.#.#.#.##.##.############.#...#.##...##.#....#......###...#...#.#...#....#.......#.#.#.#.#..#####.##.###..##.#.#.##...#..###.###.###.##.#...##.###.##.####.#.....##....#..##.##..#....##.#.##.#..##.###.#.##.####.##.#####....##.#...#..###....##.##...#.##...###.......#..#####.....#.##.#.#..####.#...#.#.#####.#.##....#....#....#.#.#....###.#..#..#....###.#..#.#.###.##.######.#..###.#.#..#.###..#.#..#..###...##..###.####.##.#.###..#....#.#.#.#######.....##.#####.##..#####..####.##..........##...#.##..#..#..##.####..##...##..##.#..#.#.####.#.#.##########..##.###.##.#..##....##..#.##..##..#...##..#.#...###.#.#...#..#..#..#.#.##.##..##..###.##.#.##.........##.#.#.#.##...##.....##.###.#.##.#####..##.###.....#.#.#.###..##...###.###.##.#...#...#.#.##########.##..##...##..#...#.....#.#......##.#####.#.###.....##....#.##.##..###.#.##..####.##..#######...###...####.###..##...##.#######...###.#..###...###..#.##.#...##.....#.####.#..#.##.##..#####..#..###....#.#.####..#..###...###.#...##.#......#..######...#...##.##..#...#######.###.#.##.##...####..#.#..#..#####...####.##.#..##.#.#..##...##.###...#....#......#.##.#...#..#.###.#.#..##.##.#...###.###.#.#.##..#.....##.#.##..###.#######.#.###.######.#.#####.##.#.###...#..#.#...#....#...##.#...###..##..#..#.#..##..#.#...##..#....#...###...#..##.#.##...#....####..###.###.##..#...###.#.###.###.#..#########.....#..##.##...####..##...##.#...###..####.#.#...##.##.###.##.##...###.#.#...#....###.##....####
..#...##.##..#.##...#.#..#..##.#..#.#..#.#..##.##.##...#####.####..##....#.#####.#.#..###.#....#..#......#.###.######.#..#####.##..####..#..#...###.#..##.#..##.#.#.####....####.#.#..#....#.#.##.#.....#....###..##..##...##.#.####..#.###..#.##.#..#...#######.#.#.##.##.....##.#######..#...##...#...#.....#####..##.#.#..####.#.###...#####...#####...####...#.#.##...#.###..###.......#....##..#.#...#...#.#.#####..##...#.##.#.####.###.#.##.###...#..#..###.#.##..##.#.##..###.##..##..##.#.#.####.##..##.##.#.#.##..#.#.#.....#.##.##.###.#.####.#####..####..#..#.#.##..#.....####.#.#.#.##..#..#.#.#####...##...##.##.#...###.##...#.....#..###..#######..####.#.##.##..##.#.#...##....#..##.##.....#.#.##....##.##..#.###.#####.###....##..#.#.#....#####..#..#.####.#.#..###...#####.##.##.#.#..##..##.#..#.####.##.....###.#....#.#...#.#.##.####.#......##..###.###..###.#.###....###.#.####......##.###..#..###.#..#.#...#...#..#......#.#.####.##.#..##.###....###.#.#..#.#.#.....###....##.###...#.#.###..####.#...#.#.###...##.##.##..#...#.##.##.#...#..#.#..##.#.#..#..#..####..###.#..######.####...##..###.###..###..#.#.##.#.#.##..###.###.##.#..#...#..##....#.....###..##.#..##..####..#..###..#.##...#.#..##.##..#.####..#.####.#.##.####..#.#..##..#.#.#..#.#..####.#...#.#.###...#####....####..###..#.###..##.##.#####.###.#..#####.#.#.#.#...##..#.##..#.#........#....##.##.#.#.##....#..#....####.#..##...#.##.##..###...##......#.####...#.#######..#....#.....#....##..###..##..####...#.#....#....#.#.#.#..#.##.###.#######.##...#.##.####.##.#..###.#.##.....#.#.#.###.##..#...#..#.###.#..#...###.#..###.#.....##....#...#.###...#.....##.#...#...##...#.#..#.#..##.#.#.#..###.#..##.##.##.##.#...#...#.#...#.##.#...####...##.#....#..###...####.###..##.#..###.#..#.#.##...#....#.#####..###.#.....##..#.#.#.##...##...########..#....#.....##.###.#...###..#.#......####..#.#....##.#.####..#.....##.#..#..#...##.##.#........#..####.#.####.####.#..##.##...#####.....#..#.#.##.#...#.#....##.###.###..#.....##..###....#..##.#..#.....
.#..#.####..##.#.########.##.#...#.##..#......#####...#..#.#.#..##.###.##.#.###.##.####.#....##.##..##.#.#######.#..###.#.#.#...##.#....#......####...##..###.#.##.####..##.#####.###..#.#..#.###.##.#...#.#..#.###...#....##...##.####.##...#..#...##.#.#........#.##.###....##..#.#.##.##.#....#####....#..#..#.##..#..#.####.##..#.##..##.##.##..#...#..#.#....#..#####.#..#.#....#...####.##....##.###..##.##...#..####.#.#.#.###.##.#.#.##..#....#........#.#.#..##..#...#.##...##..####...#.##...#.#.##.#...#.#.....#######.##.###.#.###.####......#...###.#.#.#..#..#..########.##..#....#...###..##.##.#####..#.#.##.......#####..#.......############.#...#..##.###.##..#..#.#.#.....#...##.#.#.##.......##..##.##.##.##.......#..#.#..#..#.###.#.#####..####.####..##...##.#..##.#....#.##.#..#...#..#.##....###.##..#..####......#.#..####...###..##.#..#...#.#.....#.#...##.##...#.####.#..###..#.##...##..#......#..#..##....##....#....###..##.#.......#.#..#..##...##.#...####.#.#...#..#..###...#.####.#.##...##....#.#.###..#.###..##...##.##....##...#.........#..#.####.###..#..####.####.#.#....#.....#####....##......##.#.##.##.##..#.###.##.##..#.#..##..#..##.#...##.#.########...###.##.###.#...#.###.###.##...###..#..#.#...##.###.#.###..####...###.#..#.#..#.####..#.##....#.###.....##..#...#..#.#..#.#.....#.#.##..#..#.####...##.#.#.#######...#..##..#..#..###..###....##.#....#...##.#.###.#.#.#....###....##...#..####.#.##...##.##.....##.......#.#####.#.##.###.#....#....#.##.#####....#..###.##.##..#....#.......###.##.....##..#.#....##..##..##..#.#.##....#..########..##..#...#####.##..##....########..#..###..#.#..##..####.....#.###.##.......#####.##...##.#...#....#.#..#####..#.#...##.#####...####......##.#....#...#..#..#.##..#.##...#...##.#.#.##....##.#.#.#.#.#.####.##...#.#..#..###..#..####.#....####.#....#.#.###...#.###.#...#..##.##..#.###.#..##..##.#....####.#.####.##..#.###..#...####.###......#..#.#...####......#..##.#.....##.###.#...#.....#...###........##....###....##.#......##.....#...####.###.##..##
##..##.###.##.###.#..##.##...#....#..##.#.....##.##..#..#..##..#...##..###...##.####.#.##.###...#####.###..##....#..#.###..#.##.#.##.##..#####.#..#.##..#..#.#..###..##.#..####.....#.#.##.#.#.##..#.#...##.#...###.##.##..#..####..###..##.##..##..####.###.#..####.#.#.##.###.......#..###....#######.##.#.#.#..###.....#.#..##.#.#.#.#...#.#.#..##....#..##.##.##..#.#..#.#.#.#########.##.#.#..##.##.#....#...####.###.##.#.#.####...#######.##.##.#..#...####......####.###....####.#...#.#..#..#..##..#.#...##.#.....####..####....##...#.#..###.....##.#..#..##.#...###...##.....#.##.#..###.#...#.#.#####.....#.#.###.##..#...#.###.#.#....###..#...#.#.#...##....#.#.#.###.#.##....###..#...#.....#.#..#...##..#....###.##.##.....#.###.##.#.###...#...####.####.#.#....#..#....#.##.###.###.#.##..#.#.#.....#.##..####.########..#.....##..##.#..######..####...#...#..##.#.#..#...#.#.#.#.###.....##...#######.##.##.#...###.#.#.##..#.#...#..##....########.#.####.#.#.......##.#...#.#.#....#.###.#.##.##....#..##....##....#..#.#.####..##.####.##...#.#####.###.###.#.....####.#..#.####.########..######...##.#.##.#..#.#..#.##.#..##.#.##.#.###.#.####...##...######........#.#.#.#.##.#.#######.#....#.#.###.#.####...##.....##.......######...###.#....#.#######.....#.##.....##.#..#.###.###..##.#.#.#..#.##.#.....#....#..####.#.#...#.#.#......###..#..#.##..##..#.###..##.#....#.#.#.##......#..#..#....####.#....#..#####.##.####..###.##.##..#..#...#####..##.#....##....#....#..#..#..#..###.#...####...####.#.###.##.###...####..###.#.#....#.##....#..###.##.##.#.#...#.###.#..#.#.###.#.###..##.#....#....#####..##.##.#...##...#..##....##...##....##.#.....#...#..###..###..######..##.##....###...#.#.#.........#..##.#.......####.#.#............#.#.###.####.#.#..#..###..###....#......#.#.#.######.###..##..#...##.#..####.##...#.###....###..#.##.#####.##...##.##.#.##....##.#........#..##.###.#..#..#..####...#.#.##.######.....#..###...#####.#.##..#....##.#.#...#..###...###...##...#.##.....####.###.#.#..#.######...##..#####...###
##..#..###.###.##..##.#.#.....#....#.#....#....###.####..##.#..##..###.#...####..#.##.....#.###.#.###.#####...###......#####..###.....##..##.##.#####.#..##.##.....#.##.#..#.....#.##...##.#.#.####.##.##..#######.#.##....#.###..#....#.#.#..#.#..###.###.#.#.#.#..#...##.###..#.#...##.##.##..##.##.#.#.#...##.#..###..#..#......#.#.#.##..............#....#..#...######.#..#..##..#.###...#.#..#.....#.##.#.#.##.##..##....####...#...#..##..###.###.#..#..#.#.#.###.#####.###.####...#....##.###.###..##.....##..#...##.#####.#..###..##...###..#...#.#.##.####....#..##.#.####..#..#####.#.#.##....#....###.##.#...##.#.#...#.###....###..#.##.########.###.##.#..#..#...##.#..##.#.##.####....#.....#..#....####..###....#.##..#..#..#.#.##..####.##.###..#..#.#.##.#..###########.#.#...#...#.....#....##...#.###...####.##....###..##.#.##..#.####..##....##...........###.....###..#####...###.###.#..##.....###.#.####..####..#..##..###....#######.##.#..#..##..#..#.##....#..#####...#.....###..#####..#.#.#..#.##...#..##.#####...##...#...#...#...##.##.#..#.#.#.#.#..###.##.......##.####....#..##.#.#.#..#..#..##.####.#...#.#...##...#.#...##..#..###.#.#..#...#.##..#####.#####..##..#.#.#.#.....###...##...#.###.##.#.###.#.#..##.###.###.###.###.##..##..##..#.####..##.#...###..#.#.#......#..#####.##.#..#.#.###.###..##..##.#.....####.#.##.##.#..#.##.........####.#...####.....##...#..##.#######.#....##.#.#.###..##.##.##.#...##.#.#...#.#.##.##..#....##.##...####...####.#.###.#.####.....#####..#..###.##.....##...##..##.##.#.####.##.....#####.#...######..#.#.#.#.##.######.#.#.#.##.##.##.#####.#..#.#.##.#.#......####..###.#####..#.#..##.###.###.##.####...##....#....#...#..#.#.###.#..#.#.#.##.##.######.#.#.#.####.#....######.#.#..#.#.#.#...##.##..#.#..#..##.#.##.#..##...#####.......#...##.....#.##...##...#####..###..####..#......###.#.#.###.##.##.#.##.....#.#.#..#.......#.##.#######.##.##.###.....##.#.#...###...#####.#..#.#..##..######.##.#.##...####.#####..#....##.#...#.#..#.##...#.###...#.#..#.#...#....##...#....#
###.#.##.#......###.####....#.#.####.#.#.####..##..###.#.#...#.#....#...##..##......#.##..#.#.##.##.##.#.###.#.#..#...####.#.#.##..#.....#...#.##.#...##.####..####.#.#.####..##...##..####..#...###.###...###.#..#.#..###..#..######...###..#..#.#.#.###.#.#...########..##.###.##.###.##..#.##..#.#..#..#..###..###..#.#.#.#....###..##.#....#...####..####.#..##..##...#.###.#..#.##.######.#..######.###...#.#..#.....##..#.#####.#.#.#..#..###...####.#####.##.##.#.#...##...#..#####..#....#.##.####..#......##..##....#..#.#...##....#..#.#.....#..##..#..#.#.#.##.#..#...#..#.#..###..#....##.##.#..#...#####..#..####.....#.##..#...#..###.##......####.#.....###.#...##.#######.#.#.#######......##.#####...##.#.##...#..#.#.#####.#..##.##...#.#....#...###.#..#.#...#.....#..##.#.########.#..######..#####.#..#####..#.##.##.#..#####..####...##..##......#.#.####..#......######...##.##....#.#.#.#..........#...#.#.#.#.##...###....##.######.##..##.#####.#.##...###.#####........###...###..#.#..#..######.##.#....#.......#..###...####.#..#...#.########.###.##.###.##..#######.#.#..#####..##.##.....##..#....####..#..#......#.......###.........##.....####.#....##.##..#..#..####....#..###.####...#......#.#.##..#..##..###........#....####.####..##....#..###..##...#.#..#..#..##.....#..#..#....#.#..###.##.##.##..#....#..#.###.#..#...#..###.#.##...##..#.#.#.#...#.#....###...######...##..#.#....#...#..#.....###.###.#.#.#....#...#....#.##.#.########.#..####..#..##..#...#.#.#.#.......#...###...#.##...#..#.##.####..##.##..#.#...##.####.##.#..#.###.#...##.....##.##.####....##.#...#.##.##...#....#.#......#..#####..###.###..#.##......#.#.#####...####.#.#...##.##.......####..###.#.##.#...#..##.##...#..#....##.#.##.#.##.....####.##..###.#.###..#.#.#..####.#......#.#.#....#.....##..####.#..#...#..##..##.##.#....#.#..###..#..##.#####.....#.##.#...##..#####.#.####.##.....####.#..##..###....####.##.##..##.##...##.##.#.#......#..##..#.#.#.##.###.##....###..####.#######..#.#.####.##..#.....#..##..###.#.##.###...##.##.#..
...##.#.#..#.#..##.#...#..##....###.....#.#.#....###...#.#.##..#..#.#.#..##.#.####.#..#.....#####.#...##.#...###.#..#..#...#########..#..##...##.#.....#######..#.##....#.#..#.##....#####.##.#...##.######.###.####.###..###...#.#.#.##...#..#.####...#####......###..#####.##..#.##..#.#.###.##..#.###.##.##.#.##..###.###.....#....###..#.##..#..#.#..##..###..####...#..###.#...####.##.###.####.#.####...#..#...#..##.####.......###.######.##....###.#..##........##.#.#...##...#.#.#######..##.#.#.##.##.#.#.#.#####.#..###...#........#.......###..#..###.#...####...########...#..#.....#.#..###....#.#.#.######...#.##..##.#.##.###.#.#.#####.####.#.##...#...#..#..#.#.#.#..#.#.####...#.###.......######.#.###.#..##....######.#...#.#.#.#.#..#........##..#.#.###.######.#.#..##..#...#.########...###.###..####.#..#...##.#.##.###..##.###.#.##...###.####.##...##..##.#..#.#.##.#.#...##...###.#.##.###.####..##.#.#..####.##...#.#...#.#.#..#######.##..#...######.#.#....##....##.#.#.##..#.#...#######..#.##.#....#.####..##.#.####.##..#..###.#.#.##.#.#.####.#.#..#.####.#.#####.#...#####.####..##.#...#....#.....#.#.###.#####.#.#..##.##.##..#.#.#.#####.....##...#.##..#.###...##..##...##.#.#.##.##.#####..#.#####.....#..#..#....###...##.#.#.#....##.##.#.#####...#####.##..#.#.##...#..#####.#..#.########..#.##.#.#..##.###.###...##.#.####.#.####....#..##.#.##..#...#.##....####.#......##..##......###......##..##...###########.###.#####..##.....#.#....####..####..####..##....##..####.#..####.#..#.#.....##...##....#...##.#...#..#...##.##.##.....#.#.####..#.##....#.##.###.#.#####..#####.##.#..#..#...##...#.###......#.#####...####.#.##.#..#..###..#.........#.#..#..##..###.#.#.#.####..##.#.#######.####.##.####.#.#...#.##.##.#.#.###.##.###.#...###....#.##.#####.##..###.#.#........##..###.#..##.#.#..#######.#.#.###.#...###..#.#....#.#....#.######..#..#..###.####.##.#......#...###..#..##..###..####.###.#.###.###.....#.#...#########..####.#.....#.#...###.....#.#.##..###...###..###.#..#....##......###...##..#..#.##.
.#.########.###.#.....##.#.#..###...#.##.#...#####...#..###...###....#.#.#...#..#..###..#.####..##.....###....#..#.###...###.##.#.#..#..########..##..#..##..#.##.##..####.#.##.#.###.....##..##..#.#...#.#..#####.#..###.###.#....##...##....#.....#..###.###.##..#.##.##..#...####..#...#.#.#.....###.#.#.##.##.##.#..#...#.####.###...##.#.###.#.#.##.##.###.###.#...##.#..#....####..##.##......#.##.##.###.###.#....#.##.####.#..#..##..##.#######..########.######....####...###..####.#......##.#####..#..#.#.##.###..#.#.#...##.#.#..##.#.#.######.#..###...####.#.##..#.#...##.#.####.###.....#..#.....#.####..#.#.#.#.....##.#..####..####.#.#.#.#...#.#.#.#......#..#.##.#....#..####.########.#..#.###...####...##..##...#.##.#..#.####.#.##.##.##.#..#...#.###.###...#..#.#..###.#.#.#..#..####.##...#..#.##....#.#..###.#..##.##.########.#####.#.##..#...#.......###...#.##########.###.####.#.......###.#.#.#...###......#.#..###.....#...#..########.#..#.#.#.##..##.#.###...#..######..#.##..#..#.....##...##.####.#..###..####...#..##..######.#.##..#.#.#.#......##.##.#.#.##.#.......#...##..####.##.....##....##.....#####.....#..##.#........#..##.#.##..#..#.##..#######..###..###.###.#.#.#.#......#####.##.#..#..##..##.#.##..#..####.#.##.##..##...###...##..##...######...#.#.#......#####.#.##....#####..#.#..#..####..#.#....#.#.##.#....#.##.#..###..#.#.#..##..#####.####.##....##......#.###..###...##.###..#.###.##....######..###..##.#...#.#...##.##.....#..#...####..#.....#.#..#.##...##.####..##..##..##...##.####.##..##..##.#.#........#...#.#..##......####..#.#####.#.#..####..##..##.#..####...#######.##..##.##.#..##....###.....#..#.#.###.##..###.#.##.#.#.#..#.##...#.#.#..###...#...#...#.##..####.......##..##...###.#...#.#.###...###.##.#....#.....#.###..###..#...##..###..#...##..##.#.#.#..##.#...###...#.#.###....#.#...#..#.#.##.##..###.#..#..#..#.##.##..##.#...#.##..####...#.#..####.####.#..###.#.###########..........#.#...####..###..#.#.#.####...#......#..#.#####...#......#######........#...##..##....##.#.
#.####.###.#####..#.##..#.#..########...#...#.#.#.#..#...#.#.#...#..#.##....#..#.....####.##.#.#.#.##..##.........##...####...###..###.#.........#.###.######.##....#...#.#.#.##.######.##.####...##..###.####.#....#.####.##...#.#.##...#.######.#.#.##....#......#.##.##....#.#.##.....#........###..#.......######..#...#..#...##.###..#######.#.#####.#......#..##..###...#.#............#.#....##.#.#.###....##.#..#.#.....#.#....#..##..####.....#..#.#..#...##..#.#...#..###....#.#.#...#..#...#..#.....##.#..#...#...##.#..##.#...##.####.##...##...##.#..########.##.###...#.#..###...#.#.##....##..#.#.......#.####.#...#....#....#.###.#..#####.#####.#..####....#...##.###.##..#...#..###.#.###.#..###..#..#.#.##...#.##.##.#..#.......######.###....##.#.###.#..###.#.....#####..##...#..##..#.....#..###.#####....#..###..##.###.###.#.#.....#...###..##..#.###...####...#.####.####.##....####.#.##.#..##.....######..##..####.#.##.#.#.#..###.####..#..##.#..###..#..##.##...#######..##.....#.#........#.####.#.###.#.....###....###.#...#....##.##.###.###.##..#######...#.....####..##..#.#.#........##..###.##..#...#####...#.#.####.#...##...#.##.###.#.#...#..#####....###..##..##.#.#.#..####...#..#.###....##...###.###.#.#.....#..#...#..#.###..#.###..####.#...##.###..#..#.##..#.#.....#.##.####...#..#..#####..#.##...###.###.#....####.##...#.#...####.###.#.#.#.##.....#.#.#.##..#....##..#.##.##..###.##.....#..###...#....##.#.#..#.##..##..#####.#####.#....##.##.....######..#..#...##.####.#....#####.##...##.#.##......#.#.#..#.........###.###.#..##..#...#...####.###...####..#.##.#..#.###......####..##.###.####..####.#.#..#.##..#...###.#.##...#.###.#..#..##.#..#....###..#####..#.....##.#.....###.##.###.##.#.#...###...####....#......#######.#.#.###.####....###..##...#........##..###.####.##.#.###..###..#.###.....####.######.####..#.#.#.....#.##....#.#.#.##.##.###....#.##....##.#.##.#.###.#.##.....#..#..####......#....#..##...#.#....#..#########..###......#..####.#...##..#.#.#.#...#.#.###......##...#.#....##...##
.##.#..###..##..#..#.#...#.#....#..###....#..###.##.##...#.##..###.###.#.###.###.####..#..##....##.####..#.###.##.#...#...###.#..###...#######.#....#.###.#..#..#...#####.##..####.#.#.###..#..##.##.###..#####..#..#..#.##..######.####..#...###...#.#.###..#..###.#.####.##...#.##....##......##....####...##..#.###..#..##.##.#.##....#.##.#.#.###.#.#.#...#.####..##......#.###...###....###.###..##..#.#..##......###.##....#..#....#.###..#...##.#.####...###...#.#..#.###..#...###.##.#..##.####.#.###........##..#..#...#.######.#.###....#..##..#.###..#..#.####..#..##..#.#..##.#...#.#.#..##.##.##..#..###.##.#.#.##.##..##..##..####....#..###.##.#.####.##..####.####..##....#...#.##.##.#..#....##.##..#.##..#.#.##...##..####..#..#...##...###..###.#..#.#####.#.#######....##.#.#.#.#..##.##.....####..#####.##.####..###.#####..##..#..#..#..####.###...###..#####.####......#.#...#..##...##...#.#.#####.#.######.###.##...###.##.##..####.#.##.#....#.#.#....###.###.#.#...####.#..#.#.....#.#.#.###..##.#.####.#.#.##.##....#.###.#..###.###..#.##.#..#.#####.##..#..######...##...#..##...#.#....#...##.#..##.#.#.#...####..#...#.####.##..#.##...#.#....#....#.....#..###...##..######....##....#.#.###.....#.#..#...###..######.#.#..#.##...#.#..#.#.....#.####....######.#..#..#.#.#####....#..#.#.##...######.##.##..####.#.###.#..#.#..#..###......#..#...##..#...#...#.#.#.#.###.##.###.#..##....####..#..##.....#....###.##.#...#...##.#.#..##..#.##..##..##..#.#..##..#...#....#..#..####.######.####.####.###..##.#.##.###.###..####..##..#...#.##.#....###..#....#...#.....#..##..##..##..#.#.##.####..###....##.#..######...####.##.##.##....######..#####...##..#.....##...####..###...##...#.##.#..##.....#.#.......####..#.####.#..#..#.####.##..#####..#..#.#.##.##.#....##.##....#.#.##.###..#....#.#.....#.#..#...###...#..#.##....#.##...#.#..####...#.#.####.##...######........####.###...#.#.###.###...###....##..#.#..#..#####..###.#######..#....#####......#..###.#.....#####..#.###.##..#...##.##..##...##....#######..##.##...#..
.#.#.###...##.##.#.####..#.##.#.##...#.#..##.....###.##.#.#...##.##.#..#.###..###.##...##.#.##.###..#####....#.#...#...##...#..##..####.#####..#.....#.#....#....##.#..##.###.#....#####..##.##.###.##..#.###...####.#.##..#.#.#.#...###.##......#...###..#.###.##..##.###.#..####.####.#.####.#.###..##..##.###.#######..##.#..##...#.....###.#.#.....##..#..####.#..#.......##.....#.#.###......##.##.##....##.####..####....#.#...#####.#.#.....#..#...###.....#.#..####.##.....##.##.#.##...#.#..###.....#.######.##.........#..#.#...#..###.##.######.#...#.####....#.#.####..##......#....##..#####...#.##.#...##.#.#.###.##....#.##.....#..#.#.#.##..####.##.###...#.#...#..#..###.#....###.#..#..#....#.##.....##.#...#.#..####...#..#..###..#.#....#..##.....##...#.###....##..#####.###.##.#..###.##..##.#..#...#..###.....#.#####......###.#..#.#...##.#..#.#.#...##..#..##..##....#...#.#.##.###.#####.##.####..####.##.#..#.##.#....#.#.#..#....#..###....#####....###.#.....#.#.#..####..####.###.###...#..###.##.##.#.##..#####.###.##.#...#####.#.##.#.#...###....#####....#.#.......##...#.##.#.#.#..#..###..###.#..###.###..###....#..####.#####.##.####..#.#.####.#.##......#...##..#..###.#..###..##.#...###..##.#.#..#.#..#...##.#.##.##..##...##.####.###.#.##...##..#.#.##...##..#.#..#.##..####.###.###..#..##..####.###...#.##.#.#########.#.#..##.####....##.#..#.######..#..##...##..#.##....###...####.####...##..#.#.....##..######..#####..#..####.##..#.##.##.......#...#.#....#.#......######.....###.###...#.#.#...###.......##..##..#..#.#.##....##...#..#...#.##....#.#.....#.###..#..##.####.###.#####.###.#####..###....######..#.#..###.#.##.#..#.....###.##.##..#..#..####..##...#..#.#...###.###..#....###.#.#..#..###..##...######...##..##..#####..#..####......#....###.#..##.#.#.#.#.##.#..#.##.##.##.##.##.###..#.#.###.#..#...#...##......#..###.#......##.##.####.##.#.#....#..######..#...#..##.#.########.....#.#.#.###..#....#..#.#..#......#.#......##..#.....#.###....##...###...####...#..#....###.#..#.###.#.###.#...##.##
####...#...###.##...##.####..##....#.#..#.#.#.##..#.###.#.#.#....######.#####..#.##......####...#####..##.##..#.##.#.#.#####..#.###...#...#..####..##...##.##.#..#......####....###..###.##.##..#####.###....#..#....###..##.#..#....##.###..#...####..##.###.#....#.....##..#.##.##...#####.#.#...####..####.#.#..##..####...###...#..#..##..#.#..##.#..#..#.#..##.##...#..#.####..###.###.##.....#####.###.#######.#.....#.#.....###.#..####.##.#..#######.####..##.######....#.#.###.##..#...#..#.##.#...#..#####.##.#.####...#.#######..#.#.####........####....##....#####.#...###.##..#####.##.#.#..##.##..#.###.......#..#...#...##..#..##.##.##.#.#.#..###.#.##.#.##.#.#...#..####..##..####.###.....#.#.....########.##.#.##.#..#.....###.#..###.###....#.#....#.#...#.###.#....###.#.#.#####.###.#.#...##..#.....#.##..#####..##.#.#.###.#.....#..#..#.#..######.##..##.....##.#.##..#.##..#.#..#.#.##..###.####..#.###.#.#.#..#..#..####..#.#..#.##..#.#.....#.#......#..##.########..####.#.##.##...#...#..#...####....##...#......##.#.#....##.#....#.##.#.#.#...#.#..########....#....##.######.##.#....##..##.##.##...####.#...#....#...###.#.#...#..##..####.#.##.####..##.#.#..##..#....#.#..#..###.##.##.#..#..#..#.....##.###..#####.##.####.##.####.####..#####.##...#.#...##...#.#.#...#.###.##...#....#..#######....#..###.#..##.#.#.###.###.#...#.#.##..#.######.#......#..#....##......#..#.#..#.##.##..##..##...#.#.####.####...#######.#.#....####....#..#.#..#.#.#......#..###.#..#.#..###..#..#...##..###.#.##.#.#....##...##.#...#.#...###..####..######.#.#.###.########...#.....#..##.#..####.#............####.#.#.#...##.##....#..#..#.##.##.....#...####.#..###..##.##.....#..#.##.......#.##....##.##...#.#.#####.#.#..#....#...####.##......#.#.#...###.####.....#.#.######.#######.#..####...#.#####...#.###..#..#..###..###....#.##.#.#..#..#.#.####..###.###..####.####..#.#####.#..#....#.##.###.####.#.#.####.#.....###..#...###....#.#.#.#...###.#.##....###.#.#...##.###.#.#.#.#.#.####.###..###...#.#..####..#.#..###...##.###.#.#.#
#...#..#.#.##.##########.#..##.#.##.....#.###..#.####.#...###.##....#####..#...##....######..#..#.....##.###...#.#..#.###...#.##.#........#######.#.###.####.##...##.#.#....##..##...##..##.##.#.##..##..#...##.##.##.#.#...##.####....######.#.#...##..##.###.######...###.##...#...##.#....##.......#.#...#.####.###.#..###....##....##...#######.##.#.#...#.###.#...###..####..#.##.#..##..#..###.###.##..#.##.#..##.#.#....#..#...#..##.#.#...#...###..####..#..#####..###.##..#.#.#.##.#.##.#....#####....####...#.###...#..###.####.######.#..##.##..##..#....#.##.#..#...#.#...#....#.###.##.#..####.###..#..###..#..###.#.#..#..###..#...#####.###.##....#.##.###.#.#####.....######.....##.....#...####.#..#.#......#..#.#.##..#######.#..###..#.##.###..#..##.####.##.#####.###..#.##.#.#####..##...#...#..##..#..##.#.##.#####...##..##.#.##...##....#..##..#.##.#...##.#.#.###...##.###.##.#####...#.#..#####.#.......#.##.######..#..#.#.#.#..##..#.##...#.#..##..##..#.#.##....###.##..#.#..#...#..#..#...#.####......#..#.#..#####.##...##.####.#..#.#..#.#.#..##..##.......#..#...#..##.##...#####..#.###.#.##.#####...#.#...#.#.#..#.#.#..#...#..###.###...#.###..###......#..##..###..#.#.#....##.##.##.##..##.##..#....#.##.##.##.##..######.#.#....#.#.##.#.####..#..####.##.##....##.....##.##.....###.#.###..#.#.#..##..#.#.##..#.#...###..#...##..###.##.###..###.#..####.#####...###.#...##...##...#.....##.#.###.##.##..#..#.#.#...#.#........###..###.##.##.#....###...#..######...#..##..#.######.......###.#.####.....#.##..#.#.##....###...##..#####...###.#..#####......##..#....#.#.#.#....#...###..#.#.#.######.##..###.....#.#.#..###....######..#.###...#.#...##...#..#.#..#####.##.#####..##.#..##.....#...###...##......#.###.#.#...##.#.#.##....#.......#...#.#..#...#.##...#.....#.########...##.###........#..#...##.##..#.###...##....#.#.#####...#.####...######.#....#..##.#..##.#.####.....##..###.....#..#..#..#.#.#.#.#..##...#....#.#..#####..#.#####.####.###.##...#...#.#.#####.###...###....###..#...#...#..##.#.##.#.......##.
....#..#.#.##.#.######.###.#..#####..#####..#.#.#.##.###.#.#.#.##..#.....#.....##...#.##...#.##....#.##..#....#.#.###..#.....#.#.#...#.#.....##.....####.#######.#.##..###.....#.#...######..###.#..##.##.#...#.#.##..#.#..##.#####...###..#..########.#####.....##.##.#...##.####.##..#..#.#.#.###.#..#...#.#.##..#...........##...##.####...#...#####.....#..#..#.#..###.#.#####...#...########.##.##.#.###..#.#.######.###..#.#####.##.....#...#.##.###...#.##.#.##.#..##....##..#.#.####..##...#.#.#.##.#.##.###.######.###..#...###..####........#.###..##.#.###..##.###.#......#.###########.######.....#####..##..####...#.........#..##.#.....#.##.##...#.##...#.#...#...#.............##.##...#..##..###...#....#..#.##.....##..#..#.#..##....###.#.##..###.####...#..........##....###.##.###...###.##..##..##.#.##.#...##..#.......##..#...#.#..####.##......#.###.##.##.##.##..#.#.##...#...#.#.##.##.##.##..#...###.....##.##..#.#...##.##.....#....###...#..##.#.#.#..#..#....#.##.....##.#...#...#.#..##.#####.#.#.#.#..##.#..##..##.#...##.#.####.#.#...#.#....#####.#....##..#..#.#..#.#....#.#######..##.#..##....#..#...###.#.#.##..#######.##.#.####.#.###.#.#..##..#.###..#..##..###.#######.#####.###...#..#..##..#####.##.#.#..#.###.....#.#.#....#..#..##.#..##.##..#.####.#....##.#...#.....#...#...#.###..#..###..##.###..#.###...##..#.#.#####...#.##.#....#.....#..####.###.##.#.#.#.####...#..#....###.##.#..###...##.#..#.####....##.###.##.##.#.#.#.......#...##.#.##.###.##.##..#...####.##.#..##.....###.##.##.#####.##.####.####..#...#..#.#.####.##...######..###..#.##..#..#.#..#..#.##..#.###.#.#####.#.#.#..#.##.#...###.#..#.#..##.....###.#..#..#####...#..##..#...########..#.....#...#...#.###....###.#...#.##..##..#.###.######.#..#.#.###......####...##.##.####..#..###.###....##...####..###.#.#..##.#.##...#...###....##..#..####.#...#..#.###.....####..##...##...#.##...#........#.#.#.##...#..#.#...##.##....#.###..########..#..####.#####.....#.......#..##...##.#.###..#.##.#.##..#.##..######.#.##.#.....#.#.#.###.##..#..
.#.#.......######....#..#..#####.#.###.#..##..##..#######.#.#...####.#.###.#...#...##.....#####.#.##.####.#....#...#..####.#..#.######.#.#.#.#.##.##.#.........####...#.###..##....#..#######.#..#..#.#.....##..##.##....#..#.####.....##.###.######..##..#.#....#.##.##.#..#.#..#....##.##.#....###.#.##.###.#..##.###.####.###...##.#...#.#.....#...##.##...###.....###..#.##.#..##.#####...#####.#...####..#..####.#.........#..##..#..##.#..####...##...#..#......#####.###.##.#.#.#.##.###...#.#..##..##.#...#.##.#..#.#.#.#.##.#.#.###.###.#.#.#...#..#..####.#.#...#...#.##...#..#....#.######.#...#.#..#....#..#.##.#.##..#.#..#####.##..#.######.#.###.#...#..#.#.##..##..#...#.#.#.####.##..#######....###..##.##..#.##......#.##..###.###.#.#...##.##.##..#.###.###.##..###.#..##.###..##.#.#.#####..##..#..#.#..###.#..#.#.#...######.##.#.###.#.#.##......#..##.##.###.####...##.###..####...####..#.#..####..#.#....#.##.#.##..##.###########..####..##..####.#.#.##..#.....###.....#.##....######.##.#######.###..####...#.###.....######.##..#.#...#####.....##.##.#..##..#####..#.##....#.###..#.#..###.##..###..#.#.####......##...###.##.#.#####.##.##.###.#..#.#.##.#..#..#.#...###.####.#..##..#####.##....##...###...##..##.#.####.##....#.##.######.#.##....###.#.#..########.##.#####.#..###..##.####.#.#..#.###...#.#..##.######.##..#######..####.....###.####..##.##..#.#.##...###....#..##...#######...#####.#..##...#.###.###...##.#....#####.##.#.##.#####...####...#.##......##.#.#..#..#.#....###.....###.#...#..###......#.##.#.######...#..#..##..#.#.#..##....#.....##########.....#..###...#...##.....#....#...###.##....#.####.#.##....##.##.#..###......#...###...####..##...#..##.#........#.#.#..####..###.....###.####...#.#.#....##...#####.#..###.##.#.#.##.#..#.#.##.#.#...##.#.#..#...##...####.#..#.##...##.#...##..#..##...#...#.###...########....##.###.######.##..#.#.#..##.#.#..##..############.##.#....####.##..##..####.#..#.##.#..#.###..#...##..###.#..#.#....#..#..#....#.##.....###..#.....#..#..##..##...##..#...#.#.
......###.#...##..#....##...##.###.#.#.#...##.#.#.#.##..##..####..#....#.####...#..##..#.#.#####.#..#.#####.##..###.##...#.....##.####.###.##..#...#.#..#####..#..##.#####..##........##..####.#.....##.....####...#...###.#....#.###..###.....##...##..#.#..##....##.#..#.#####.#.##.#.#.#.###.##.........##.#...######..###..###..#.#...#...#..##.#..##..#..#.....##.##.#.######..####..#..#.##...####.###.#......#...#..#.#.#.##....##.#.#.##...##.#....##.#.####.##.#...#...##.#.#.#.#.#########.##.###.##.###.##.####..#.#.#.#.##.###.#.#.#.##..#####.#.#####...#...#...............#...#.####..##.#...##......#.#.#.#.#.#..##..#..##.....#.#.##.####.####..##.....##..##..#...#.###..###.#...#..#...#..###..##..####.###.#####.##...##.#######...##.#...##..###.#####.....#....###.#....##.#.##.#.##...###.##.###...#..##.#..#...##...###.###.###..#.#.###..###.....##..#####...#.###..#..####..#..##...#..#.#.#.###.....#..#...#........#...#..##.....##.##...#..##.###.##.##.####.###..##..#..#.####....#.###.###.###.##..#.#.#...#.####.###.##..##.#.#..........#..#....#....####.#.##.........#.#....#####..#..#...#..###.#..#####..####.####.##...#...#.##.#.#.##.#########...##...#.#########.#...#....####.##.#.#....#.###..#.......#.##..#...##.##.#....#.##.#...#####...####.#....#..#.#.#..##..#...#....#...#..#..####.#....##.#.#..#..####.#.#.##..#.#######......#.#.#.#.##.###.##.#.#####..###.###.###.###..#..#...##..###..#..#.#.##......####...#.###.#.....##.###..#...##.....#.#..#..#..##.##.#.#.......#...##.####.############..#######.###########.........##.#..#..##.##.####.###.....#.##..###..########..##..##.#.###.#.####..#.#..#..#..####.#..#########..#.###...#.###.........####..###.##.##..##.##.....##...#..####.####..####.......#.#.##..#...#.#.#.##..#.#.#.#.###.##.##...####...##.#.....#.##.###..#.#.#.#.....##.....#.#.###.#.##...##.#.#####.##...###.##.##...#.###.##...#.#..#.#..##..######.###.#.##.###.##.#..#.......#####.##...###.#.#.#.#.#....#......#######...#####.#####...####...##..#.#...#...###.#...#.#.#..........#..#
.##.##.#.#...#.###.##...####....##.#.####..##....#.##.##.##...##.#.####..###...#######.##.##..#.#..#..##.....###....##.##...#...#######.#####...#...##.#.#.###......####.##.#####...##.#..##.#..#.###.##..####.#.####..###.#.#.###.##.#.####...#.#...####.#.#.##.##.##.###.##..#....###..#..#..###.#..#..#.##.#.#.##.#..#.###.##.#...##...#.#.##.#.##...###.#.#...##...##.##.##.#.#.##.###.###..##.##....#.#..###.##...........#.#...#..###..######..####...##.##.####.#.#..###.#..##.#.#...#.#....#.....#..#.######...###.###..#.####..##.####..#.###...##......#.####.#########...#.#.#.###..##.##.#.#.#####..#...####.#...#########.#.##.#.#..###.##...###.####..#.##.###..###..####.#.#......#....###.#..##....##.##.#...#..#....#...#.##.###.#.###.##.......###...##..##.....#.##...###.###...#..#####.####.##.#..#.#..#.#.##.#.###.##.#.#...........#..#####.#...##.##....#...#...#.#.####.#.#.#.#.#.#.###.#.##...#.##.##.###..#.##.######.######...#..#########.#.#######.#.....#..#.#.#...##.##.###...##..#.#.#..#......#####.##.#.##.#.##.###..#..##...###..##.########.##.#..####..##.####.#.#..###..##.###....###.#.#......#.#...###.##.#.....#.#.##.###.####.##..##...###.#.##..##.##..##..###..##...###.##.#..#.#..#...#......###.##......#..#......#.....#.######..#.....###...#.#.#..#..####...#####.#.#...#.###...###.#.##.#.....##....####......##.#.######.#.#...#..###.###.#.#.##.#..###.##.###..####...#.###.#.###.##.##..#..#.##.....##.##....#....###.#.##.#..#.##.#..#...#..###.#..##....##..####.#..#.###.....###.#.#.#.###.#.#.#.#####...#...#.##..#.##.#.#.#.#.##.##..##.#.....######..###.#..#...#..#......###.##....#...##.#....#..#...##.#.#.#.#...###.##.##.#..#######..##.#..##...#.#...#....##.#..#.####........#.###.#.###.##..##.##..#..#.##..#.#.#.#.##...###..###...##.##..##...####.#..#..######.#.##.###..##.....###.###...#.#...........#.##..#.#..#####.###..#...##.....#.##.##.#..###.#.#.#....#.....###..########.#.####.#..#..#..###.#.###.##...###.#.#..#####......#..#..##.###.#.#.#.##.#.#...##.##..#.#.#.####.#..#...####.####.##
###.##..############...###.###.#.#.#..#.......#....#.##.#..###.....###......####.###.###.##..###...#.###.#.#.#..#...#..#..#.#..#...#.......#..#..##.#.#.#.#.#..#.##.##..#.....##...#####....##.#......###..##..#..####..###...#..#.#....###..##.#####.###.#####.###.####..#.....##....##.#..#.#....#......#.###....#.#.###..###...#####...#.#.####..#..#.#..#..##....#......#..#..#....####..##...####..#.#####....####.##.##..##.#...#.#.#.####.#.#..#...#.##.##..####.#.###.#.###.#...#.....##...##.#......#.####...#..##...##..#...#.####.#.##...##..#.#.#.###...#..#.#.#...#....##...##.#.#.#..#.#.#.##..##....####..#..#....###...#.##..###..#..#.###.#.##.#...#.#####..##.##.#..##...#..####......####.##.#.....####.##.###..##.#.##.#....#.#...##.#.#...#...#....##.#..##..#..#...#.##....###.#.#.#.#.##.....#.#.####.#..#..##..###.#....###..#.##.##..#.#.#####..#.###.#.....##.##.#.###.#..#.#.####..#.##...###.#..##.#.##......#.#.#..#.##..##.#.#.#..#.........#.#...##..##.#...######.#.#.##..##..##.#####..###.#.....#..#..#.###.#..#.#.#..###..#..#.....#...#...#.....#.#....#..#.###.##.##..##....##.##...#.........#..#..#...##..#####..######..###.#.#...##.#.#......#.###.####.####...#....###..##..####...#..#####.#..####.##..#....#.#...##.#..##..##.#...#..#.#..#######.##..###.###.###.#...#..#.############.##...##.###.#...#...##....##.#.#.#..#.#.#.##.#..#..#..##.#.#.##.#.###.######.#..###...#.###..#.#...#.##..#######..#.####.####...##.#...#....#..#.#.#.#..#....#..#....##.#.###.#.##.........#.#..#.#.#.##.......#...#...##.#..#..###.....#..#..##..####...#.#.##....#.##.####...#.#.#.##.#..##.#####.....#.##..##.#...##.#..###.#...#.#..#####..##.#..##.#.#####..###...#..#.#.###.#..##.#.......#..#..####..#########.#..#.#######...#....#....#..####....#####.###.#.....######.#..#.......#.#...##..##...#..####.####.###.####.#......#.##..###....##.##..#.##..###.##..#..#..##.##..#....##....###....###.##.###.#######.#####..##.#..####.#..#.##.#..##......#.#..####...#.#....#.#..#..#...#.##..#.#.##.###.......#...#.#..###.########
...##.......####...#.#.#.#..##..#.#...#.####.#.##.#..#..####..#...##.###..#.#.####.#.###..#..#.#.#...####..##.##..#..#..#.#....#.#####..##..#..#...#.#..###..#.##.............####.#.#.#.##.#.###....###.##.#.##...#..#..#...#.#..#..#.###..#..###..#..#....##.#.#..#.##..#..###...##..##..#..##..####..##..#....#.####.####..#..#....#.#..##.##.##..#.###..##.##...#.####.#..#....####...######..#.###..###...#.....###.#.##...######.#...####.###.#..##...#...#.##..#..###.##...#.###...#.##.#.#......#...##..##....##.##..####.##...#..##..#..######.####....###.#.#.##.#...##..#.###..#..#.##....##.#.#.#..####.#...#.....#####....##....##..###.##......#######..#..#.#....###.#..#.##...#...#....#..###..##.###......##..#.#.#.###..#.#..##.#######...#.####..#.#.##...#..####.###.######....##..##...##...#.#...#...##.#.##...####.#..#.#..#..#..#.#..#..##..#...###.###....####..###########..#.##.###.#####..#.##..###.....#######.##...#..###....###....#...#.#####.#.##..#.#.#########..#.##...##..#.#.#.#..#...##.#.#.#.#..####.#.##.#..###.###..#.#.##..####...#.##.#.....#####..##.#....###.###...##.##.####.#..##.##..####.###.##..#.#..##...#..#........#.#.#.#.#....#.#.#.#....##..#.##....##.##..#..##.##.##...........##......#.###..#.#....###.###########.####...#.###.#...#.####.#....#..#.####.#.#####..#...###...#.#..##..##..#.#.#.###.###..#.#....###..###.#.#.#..##.#####....#.###..##.#.#.##.#.##..#.##.#.#####..##...##..##.#....#..###..##..##.#.######.#.#..#..#.#.##.#.#####.#..##...#.....##.#..####..##...###.##..#....###.....#..#.##......####.##..#.######...#.#.##...##.##.###.#..###.########.##...##.#.##...###.#.##.####.#..#.##.#.##.#.##..###.###.#..#....##.###.#.##.......#.#.##.#.#.#..####.....#.#.....#.#...###......#...#.#.##.#.##...#.##..##.####.......#..##..###..####..##.###.#.##.#..###..##.##.....##..##.###.######.####....##.##.....##..##.#..#...#####..##.#.#.#....########..#..##.#....###...##.####.####..#.##..######..###....#...##...#.###...#.#.#..#....#..##.#...#.#.#.##........#.#.#.#....#...#.#..#..##..
.#..##..#####.#####.#.#......#...#####....##.###.##.#.##..#####...#...#..#..#.##.#.....##.#..#.###.####..##.##....##...#.#..##....#.#.....#..##...#.#...#####...##.#..###...#.##..#..####.####...#.#.##..###..###.#..#.#..#####.#..#.##..##.##...##.##.##..###.####.####.#...###..#.##########.###..###...#.##.##....#.#.#######....#.#....##..##..#.#.###.#..#######.##...#........#..##....##..#..####..##.#.#.#......#.#.#.......###..##....##.#.##.#..##........#.#..##.####...####.#.......##..##..#......###...###.#..#...#.##.##..#.#....##.#.#..#.#......#..#...#.##.....##.###...###.##.#....###.#...####.##..##.#.##.###.....#..####..#.##..#.....#.#..####.##..#..#..##.######.#.#.####.#.#..#.####.#...##.#.##.....#.#...###..###....#..##...###.#.#.##.#.##.#..#.#.##.#........##...##.##..#.#.#.###..#.##..##...#..##..####.#..#..#...#...###.##.###....#.#....#....##.###...#.....#.#.###...#..##.#.#####..#..###.##....###.#.####.##..###...#..#.....#...###....#..####.####...##......#####.##.##.####..####.#.##..#.#.#.....#..#..#..#...##.##.#####.#.##.#.#..#.##...##....#..#...#########.##.#....###..##.#..#####.##..#..#.#.##.#.#.#.##..#...#.....#.##....#....###.###.#...##.#....#.##.####..###..###..###.##.#..#....##..#.##.###..#..##.###...#####.#.###.#####.#.##..####...###.#..##..###..##.##......###.#..#..##..#...##.#.#...#....#..####......##..#........#..##..###..##.##..#.########..#.#..#.#.#......#..##....#..####.##.#..##.#..###.##...#..##.#.#..##......#..#..#.##.#..#.##.#..#.#.#.#..####.###.#....###..#..###....##.##.###.##.#.#..#...##.......#...###.#.##...##....######...#...#.#.#.#..#..###.#####...##.#..#.##.#####.#..#..###...##.##.##.##...#.######....#.#.....###.#..#.#.#.#.##.#..##.##...#.#.##..#########...##...#.##...#######..#....#.#.#.###....###...#...####..#.####.###.#..##.##.##.#...#.###...###..##...#.##....#...##.###..#..#..##.####..###.#...###.#.##.#...#...#.#.#..#.##.#.#.###.###...#...##..#####..###.#..#...##.##.#.#....##..#..#.#.#.#.#.#..######.###.#..####....##..#.#....#.#.#.#.#.#..#..
..#.#.#.#.###...##.#.#.#..#......##.##..##.####..#.##...#####..##.##.###.#.#.#...#.#..###..#.#.#.#.#.###..####.####..#..#.###.######..#.#..#..##..######....#.#.##....#....#..####.#.###.#.##.#.#..###.#.....#..#####....##..#....#..#.....##.#..###.#...#.#..#.#..#.#.###.###.##.#..#.#.#.#...#..#.....##...#.#..#..#.#....#..##..#...##......#...#.###.##.#.#.#.#.#.#......###.####..#..#.#..####..#..##..#...###.....##.#..#...#...##...##..#.#.##..####.#.##.##.##.#..#..#.##.#.##..#........###.........###..###.###.#.##..#..###.##.....##.##.##....##..#...##....#.#.####.##.##.#.....##..#.###.###....#.#...##..#..#.#....###..#...######.##...###....###..##..#.#.##.#...#..###.#....#..##..#.###..##...####.##..#.#..##.#######..###.##.######.#..#...#..####.##...####.#..#...##..###.#.#....###.#...#.#.#..#..####.##...###.#.#..###......####...#.#..##.#.....###.#.#.#####.####.##..##..#######...#......#....######.#.#.....#.###.....#.#.#####.##..#..#....#.##.#....######....##....#..#####.#.#..##........#..#.#..#.#.##.###.#..##......#...#.##..#.##..#.#..##.#.#.##.#.#..#..####.##..###.##..##..###.#....#....#.##..#.....#.###...#.#.###..###.#......####..#.##.#.#.#..#..#.#.#.###..#.###.##.....#...##.##.###.#.#...#..#...####.....#####...#.#..#......#...#.#...#.#..#.####.##.#.#....####.#......##.#..###.#.#..#...#...##.#.####..#.#..#.###.###.#...#..#.#...#.##.##..###.#.#..##.#.#..##....#..##.....###..##..#.#..#.#.#######.###...#######.#.####.#...######.##...#....#..######..#.#......##.#.###.#..#.##..#.#.###..#.##....#...#.#...#...#...#....##..#....#.##..#.#.#......##.#...##..#.#####.......##..##..#..##.#.#..........#..#.#.###....##...##.######.#.##..###..#####...####.##...#.##.#..##....#..#.##....#.#.##..###......##..##.##.#.####.##.#.####.##..#....##.#.#..##.#.#...##.......#.####.#.##.....##..#..#.#.##.###.#.##.###.#...##.#..#..#.##.##...####..#.#.#..###.##..##########.#.####.#.##.#####...####.#.##..#......#.##.#..##.##..###..##.##.##...#...#.#.#...##.####.#..#.#.........#.#.#....#..#.#...###.##.....#
.##..#...#####.###.###.#..#..##..###.#..#..#.###.#..#..###..###.#.##.#..##.###..###.........#..####.....#.#..#..##......#..###..#.......#.#.###.##.##.......###.#..###..#...##....######.#.####.####...###.#.#.....#####...##.#...###...#.##...#..#.#.#.##.#....#####.#..##.#...###...##.#..##...#.###...#....#..####...###.#..#..####..####.#..##..#.#...##.#...###..........#..###.#..####..##.###...##...#.....#..#...#..#.#.#.##.#.#.##..##..#....##..#.###.#...#...#####.#....#...#####...#..#.##.#..####.#####.....#..#####.##.###.....#.#.#...#.#.##..#.#.#.#.####...#.#.#.##.######.###.###.#####..#.#.#.#.....#..#......#.##..#..#.....#..#....#...#..#....#..#.####.#.#.#.####..##.###.....#.#.#....##.#.#...##....#.#.#.####.#.###.#.###.#.#....#...##..#.#####..#.#.##.##..#.##.##....##..#...####...#.#....#....##.#.#.....####.##.####..#.#.#.#.###########.....#.......#...#.###..#.##...#..##.#..........#.#.###..#.#.#.##.#.####.###...###...#.##...###.####.#####.##.#...#..#.##.#...##.####.#.....########.......##.#....#.#.####.#########.....##..##..#..##.#.#..##.#.#.##...##.##..#.###.##.#.#..######..........#.##..###.##..###.####.#..#..#.##.###..#...##.#.##...#...#.#.##..#####.#..#.#####.#...####...##..#.#.##..#...#.#..##.#.###....#.#...##.#.#####...#..#.##..###.#..#..##.##..########.#.#..#........#..#...#.#####.##.#..###.#.....##..##..#.#####....###.#..#.....##...#.....###..#...#####.#...#.###.##.#.#.###...##..#####.#..#....#.##.#.......####...#..#..##...#####.#.#.#.##.#.####.##..#.######..#.##...#.###..##.##..####..###..##.##.####.##.###..#.#.##.###.###.#####....##.......##...#.#.###.#.#####.##.....#.#.#.######.#..#.###.##.##...#...##..#######.#.#.#...#..##.#..#.##.#..##.##.####..#.....#.#.#.#.#.#.#..###.#.......###......#.###.##.###.##..#...#..####.#.#####.##.###....#..##...##.....######...###....####..#...####.###.#.#..##..#.###.##.#.##.####..#..####.##...##.####.##..###.##.##.###.#.#.#.##..##.....##..##...###.####..####..###...##...###..######....##..#.###.##...#.#..##..##.#.##.####..##.##.
##.#..####.##.#.#..#####...#.....#...#.###.#..#...#.#.###....##.##.##.##..#.#####..#.#.#...#.##.#..#...#.##.#.##.#####...####.##.#.#...##..####.##..##.#####....##.#.#..#...#.###..#.###...#.#..#####.#.##..#.####.###.###..#.#.....#.#..#.##.#.#.##..#.#####..#....#..#.#...##.#...##.##....#####.#.....#.....#......####.#...##.###..#.######......####.#..##.##...#..##..#..##...###...###.#..#..#..#...###.........###.##..#...#######......#.#...#.##...###.###.######....#..#######..##....#.....#.#..##.#.##.#.#..##.....#.###..##.....#..#..#..###.#.########...#...##..#.....##.#..#.#..##.##..#......####.#.#...#....####.#.##.#.###....####.#.#..##..####...#...#...###..##..##.#.#.###.####.###..#..#...##.###...#.###..#..##..#.##.###..##..####.#.##......#.###.##.###.##..#.##.##.#.##..#...#..#.##.#.#..#####.##.#.#.##.#.##.####.###.#.......###.##..##..###.#...##....####..####.###.#...#..#.#####...###.#.###..###.##.########.##...#####.#######..#.#.##...########.#.##.#.#..#...###......####..####...#...#...#...#..#.##..#.#..##...#...#....##.#.....#...#...####.####.#...###.#..#...####.###.#.#.#...#####.##..##....##.#....#.#...#.###...#.####...#..##.#####.#...###.#.#...##.#.##.##....####.#..#.#.....#.#.####..#........#.#.....#####.#.#.##.##.#.######..#.....#.####.#.#...##...#.#....##.#..#.#..##.#...##.#..#....######.#.##.##.##.#####.###.#..##.##.#..#...#..#.#...#...###.#.#.###.##..##.##.####.####.#..#.#..........##.#.#..#...###.#...##....#.##.#..#.###..#..#.#..#.#..##.#.##.....##.#.#..##...#.#..##...#.##.####..##.###.#.#.#...###.##.#..#.#.###.#.###.#..#####.#.....##.####.#...##..#.#.....#.##.##.#.####.#.#.#...#.####....#....#.#....#.##..##..##....###.##.#######..#.#.##..##.####.#..##.#.#..##...##.###..##..###...#.#...#.....##.##..#...#.#...#####.#.######.#####.#####...##.##...##.##..#.##.#######..#.#####...#####...##.##...###..###..##.#.#.#.#..###..###..###.#.##....###..#.##....#.....#...#..###.##.##.#...##...##..##...#.....#.#.###......#.#..#..####.....#.##.###.#.#....###.###.##.#...#..#..#.
..##....#.##...##....#..##..#..####..#.#...##.##.#..###..#####.....##.#.#..###..##...##.#######.#...#.###..##..#.#.#..##.####....###.#.##.##..##.###...#..##.####.###..#..#.##..#####..##.#.#.#..##...###.#..##.#.##....###.#.#######...##....##..##.#########.#...###.####..#..##.#..##.#......#####....#####..#..##.##.##..###..######.#####.#.#...#..#.###..#.#....#......#....####.##..#..#..#..#....#.#.....#.##.####.##.#..#.##..##.....####...#.#.#.#..#...#.......#....####.#.##.##...#.##.#.#.#..#.#..##....#####.....##.#.##...#.#.##..##...##.###.......##.####.#.#.#..#..#..###...#.....#####.##.##.####...###..#.##..##...#...#.####.###.##.#...#.##...###.##.#.###..#####.#...#..####..#.....###.##.#..#.#.##.#.###.#..##..##..#....#.#...###......###.#.#.####.#####...#.##.##..##.##.####..#####.####.###...#..#.......#.#.####.###.....####...#...#..#........#######.##...###..#.####...##.#.#.###..#...#.#......#.#.#.####.##...#####.##.###.##.###.#....###...#....##..#...#...#.#.##.#.#..#...#.#.###..#.#.#.#.####.#.....###.#...#..##...#.##.#..#####.##..#.##....#.##..#.##.##...####.#.#..#.#...##.###.#..#....###....#.####.##...#.###.#..###.##...###...##.#..##..#..#..#.######.##..#######.#....###..###..##.#.....#..####.#...#.#.#.#...#.#.#.#####.##..#.....#.#..#.....##.#.#..##...#.##..#.#.#.###..#.##.###.#.#..##.##..##.##...###...#..####..#.#..###..#.##.#..##...##..##.....#.###..###.#.#.#.##.###..#####.###.#...#.#####.##..###..#....###.#.#.#..#..##.###..####..#.#.##.#..##...#.#..##.###.##.###....#####.#.....###..#....#.##.###..#.##.##.##..#####.###..#..#.###..##...##.######.#...#..#...#.#..#....##..####.###.#..#.#..##.#.#......#..########....#...#######.#......#.##..##..##..#..#..#..###.###.#.#.####.####..####..#.#.#..##...#...#...#.##.##..#..##.####.#######..#.###..##.##..#..##..###..###..####...##...####.##...#.##..##.#..####.###.#..###.#.##..###.###.##.#.........####...#.#..####..##..####...###..#.####.##.#.##.###..##.##.#....##.###..#....#.######..##..####.####......#.##.#.##.#..###.##....#.##
#......#......##.#.#......####.#..#...#.###.#.##...##.#####.#...#.#.#..###..##.##...####.##.#.#.##..#.##...####.##.#.#.###...#.#.##.####..#.###.#.#......###.#..#.###.#.##.#.##...#...##....###.##..#.#.#.....#######...##..#.####.###.#.#..#.#.###.#.#.#.##...#..#.#.#..#....#..#..##..###.#.#.#.#.##...#...#.....##....###...#.#.##.#..#..##..##..###........####.....##.####..#####.#...#.#.##..#.###.###..##.###...#...#..#.####.###.#.#....#.#.#...####.....##..###..##.##..###.##.....##.#..####..#..##.###...#.##.#.##.#..#...##....##....##....##.#........###.....#.######...####.##.#.#.##....##.#...###..########.####.#.......#.###...######...#.#.#.....###..#...#.#######.#.#......##.###.#.....#..##..#.###.....#.##.###.#..#...#####.#.###..##.##..#####..##........###..#...#..##.##.#..##.#...###.##..#...#.####.#..#...##...#.#.#...##...##.#..#....###.###.#....#.##.#.#.#...###...#..#.###.##...#.#####.###.....##..##.#...##...#####.#######.......#.####.###.##.#..######..#.#.#.#...#..##.#..#.##.###.#.#..#.#...#......##.#.#..###.##..#..#..##.....###.#...#...#....#..######.#..#..#..##..###....#..#####..####.#.#..####.......##.#..##..###.#....##...###...#..#..#.#.#......#..####....###.#.##...###.....#....#.......##...#..#.##.....#####.#..##.###...###..####.##.#.##.##..#####.....#.#......#.#...#...##..#......#..#..#...#....#...####.....#..##.......##...#..#.#..##.#...#.##......#......##..#.#.#.##.##.#...#....##..###...#.#..#..#.#.#.#.#.#...##...###..#...##....##...#.#...##.#...##.##..#.##.....##..#....####...#.#.#..##.#.#.#.##.#..#######.#...###..####.....##..##.####.###..##.#.###.....#####...#.####.###..#.###.#.####...#####....#####.#...#.#.#.###.######.#....##.####....#....#####.#.#..#.##...#.##.#.....##..##..#.#..#.#####....###.#..#.##..#.#.#####.##....#.#.#.#..#.....#..#.#.##.#.##...###..###......#.##..##.##.#.#.##...##.##....#.#....#.##.###.#...##.###..#..#.####.##.##..###..#.###.#.##.#...##.##..#.#.##...###....#..###..#####..##.#.##..##...###.###.####...#.##.##.##..##.##.##.######.##.#.#
.#....##.##.....##.#####..##.##.#.##...#.##..####.....#.#...#.#.######.#..###.#..#..####..#.#.##.....#.##.######..#.#.#.##.#####.#..#.##...#......#..##.#.#..#....##...##...####.##.###.##....#.####...##..#...#.#####.##.#..#.......#..#..#.##..#....#.....#.##...#.#.##.......#..#...#....##...#.##...#.##....#..#...##..####..###..#######.#.##...###...##.##..#.###....#..##....###..#..########...#....#####...#.#..###..#..#.#.##.##...##.....##....###.#.#..#.###....##.#.#..##....#######.....#.#.#.#####.#.#..#......##.#.#..####.......#..#.#.....#.#.######.....##.#..#....#...###..##..##..#.###.######....#####.#..#.....##...##..##....#####..#.#...#.####.#.######.#....#.##.#..###.....##...###....##.#...##.###...##.#####..#.####.##..#####.#.####.#...##....#.##...#.......#.##....##.#####..#...###...###..#.###..####.#...####...######..###.####.##.##......##.#..###..#.#.#########.##...#.#..###..###.....#.#.##.####.##...#.##........###.##.##.##.###.#..#.#.##.##.......#.#.###.#..#...##.#..###.###.#####.###...##........#.##......###..#.#..##.#..###.#.###.#..#...#..#####.###....#.#..#...#.......#...##.##...#..##.#....#...#####..#..##....#.#####......##.#####..#.####.#..##..###..##...#....##.##...#.####.#.#..##.....#.#..##.#..#..##...##.###....###.#....##..##..#...#.##....#####..#...#.#.###.##...##..###.#..#.##.#.###......#....###..#.###.##..##..#####..##.#.###..#..#.#.##..###...##..######.##.######..##..#.#.#..#.#.##.##....##.##.#.##.#...#.....#.....##.#.#####..##...##########..#.#.#.....#.##.#..#....##..#.....#...#####.##.###.###.#..##.#.#.....##...##....###.####.#.....######...#######.#...###..#..##.#.#...####.###.#.#.#.#.##.##.##...#....######..###...##.#..#.#.##.#.#.#####..##..#.#....####..##.#..##..###....#...####..#..#..#..######..######.#..#####.#...####..##..#.##.##.#.###...#.....#.##..##########....#..#...###..##.##.###.##.#..##....#####..###...##..#...#.#....#.#.#...#.#.##....#.#.#.##.##.##.#...##.....#.##.##..###.#.###.##...####...#.##.#..#......#..#.##.###.#.#.#.##.#.##....##
..##.#.#.##..##..#.#.#.#....#.#.#####..#..###.###.#....##...##...#..#......#.#..#...#####...##.#.###....#.#####.###.##.#....#.#..#.#....#.#..##..##..##.#..#.#..#.....###.##.......##.###..###.#.##.##.##....######...#.#.........##.#.###.###....###.#.#.####.#....#.####.####.#.#..##.#.##.##.#####..#..##..#.#..#.##.#.......#.....#.#.....#..#.##.##.####.###.##..##.#.#...#...#..###.#####.##.###...##.#.....#.#.####.##..#.....##..##.#.###.#.#...#..###...#.##.#...##.###.#.#..#####.#..##.####.####.##..#.########.#####..#.###.#.#..##.###.##.###..#.#..##...##.###.##.##.#.#....######..#..##.#..#.....#.#..##.##...#.#####....#.#..#.....#.#....###....#.##.#..#.###.#...###..##..####.##.#.#....####..#####..#.#.##.####....#.####..###...#.##....###.#.#..##.##..#...#.#...####..######.#..###.#.....#...##.#......###..#...##..#.#.#.###.##..##.##...###.###.####...#..#.###.#####.#.####.#..#.##..........#####.######.#.#.###.##.#.#....#.#.#...##.#..#######..#####..###.#.##.##.####..#.###..#...####.#.#........#.####........#######..####.##.#..#.###.######.......###..###..##.###.##..#.#..###...#....##..#...#.###.#...#.#####..#.#...#..##...#.#..#.#.##.#.......#####..####.....#.###.##......#.#.#.###.####.##.##.#........#####.....#..#.####...#.#.##.#..###.#.#####......#.###.######..###..##.##...#....#.###..###.#...#####.#....#....#.#.#..#...####....#....#...##.#####.##..##...##.##...##...#.##..#####.#.###...##..#...#...##.#.#.##.#..#####...#####.#..#....##.####...#####..........##..##.##.##.#.####.#.###...##..#.###.#..#..##.#####...#....#.#...#.#.#..####.###..###..#..##.##..#.##......##.....##..#...###...#####.#.###...#####.####.#............###..##.##..##.....#.###....#...####.###..#.#....#.#...#.....##.##.##.####....#....##.#.#.#...####....#####.#.#.##.#.#####..####..#..#....#.###.##..##..##########.#....##.#...#...#......#.##..#.##.#.#########.####..#.#..####.#.##.#.###.##.#.#.####....#..###.#.#.#.#....#...##..#....###..#..##.#..##.#...#.#.#..####....######..##...###.#....#####....#....##.....#..
#....#...#.#..#..#.....#.....####.#.##...##.#.####.#..#..#.#.##.#.#.###.####.....###..#.###.####.##.#.#...##.....#.##.#..#.#######.###.#..##.####.######.##..#......##...#.##.#.###....##..#....#.#.##..#######...#######....####.....#.##.#####..#.......#....#..###..#..#.#####....###..##....#..#..#...#.....######.#...##.######...........##....#.....#####...###..#.##...##.#..#.###.##.#.##..###....#..##.##....#.#....##.#.#....###...###.#.##...#.##...###.#####..##.#..##...###.##.#....#..#.#..#####.###.#....#....#.#..#.#.##.#...#....#..#.##.....###.#.###.#..#.#.#.##.###....#....#...###...#.#.#.#.#.##......#..#..#.##...#...####.##.#..#.#..##.#....##...#....#.#...###..##.#.#.#.####.#..###.#..####.###..###....#..#..##...#.#.#.#....#..#.#.##..#......##..##.#.####.#...#####..#..#..###..#....##..#.#.##....####..#..#..#..#..#...#.##.###..##.##.#.#..####.#.##..........#.##.#.#..#..#....##.##...#..##..#....###...##..#.##.#..#...###...###..#.#..#.###.#....#...#...#.###.#.#....#....#...#....##..#.#.##...#.#..#....#.#...###....##...##....#.....#.....#....#..#..##.#...###.#####...#.#.##.####..#..#####..####.#...######.#####.#....#..##.#####.##......##.###.###........#.###.#..#..###..###.#.##.#.##....###...#.######.#.#.##.##.#...#.##..###...#..##.#.##....###......##.#......##..##.##..#####..#.###.##.##..###..###...##...#...#.#..#.#..#.##.#.##.#.##.#.#..#.##....####..#......#..###.#..#....#...#.####...#.####.####.#.###.##.......##.###.#.#.....###...#.##..#....#..##..#..#..####.#.#..######.###..#..#....#.#..##.##...##...##...##.###..#....#.####........####.##.#.....#...#..#.#.##...#....#.#####..#...###########...####.##..#..#.#..#.#.#...#...#..#.##.##...#..#.#.#..#.##..#...#.#.##..##..#..#.####.##..##...###.#####.###.###..#####....##.###.#...##..#.##.....#.####...###.##.#.###.###.#.######....#..##..#.##.#..#..#.##...##.#....##.###..#####.#......##.##.#.....###....##..#..####..#..#..#.#.##....##.####.#.#.##.##.######...##..#.##.##.####.....#.#.#.######...##..#.......##.#..####.#.#####.###.#
......##...........###...#..#.#.##...#####...#..#.#..###.##.#.##..###.#.##.##..##.##.#####.######....##.#.###...#..#####...#####..#...#.###....#.#.#..##......#.#...###...#####....#.#...##..###.....#...##.####....#.####.##..##..##..####..#######..#.#.....#....##..#..#####..#..##.##..#......##.#####...######..#.......##.#...#...#..###....####.#.#..#.#.#...######.#...#..####.#..#.###.##.##....##.###.###.#.#..##.#....#.#.#....#.##..##.####..####.#...###.#.##.##.#.#.###.#.#..##.#.......#####.#####.##..#.#####.#..#..###.##..#..#####..####.##.#...###.###....##...##.#####.###.#.......#.###..#....##.#.#.##..#..#....#..##.#.##.##...##.##..##..#...#.####...##.#....#.....###.##..#.#...##....##..###.#..##..###.#.#.......#...#..##.##..##...##..#.#.##.#.###.##....##..#.....#.##...###..####.....###.####.##.###..#######.#...##.#...........########..##..#.....#....##..####..####.#####.###.#..#.######.#.##..#...#..#.....####.#..#......###..##.###.##....#.##.#..####.##..#..#...#...##..##.#.##.##....#.#.#...###.#####.....#.###.####.#..####....##..#...#....###...#######.#.##.#.##..##.####.....###..###..###...#..#.#....#.#..###.....##..#..#.##.#..####...#.###.#.#...##.....#....#....#.#...#.###.##.###..#.##..##...#####...#..#.##.#..#.#.##...##....#..#.##.#.##.#.###.#...#..........##...#..##....#..###...#....######.###...#.#...###.#.##.#.##..###.##.#.###.#.##..#.#.###...####...#..#.##..#..###.##...####.#.#.###...#...##.#.###.#..####.####..#.###..##..##..#.#.#.#####..###..#..####.##.....#......#.##....#.##......#.#..#.##.###.##.###..###.####.........#.##...####.#####.##...##.#..#.##...#.##...#..#..####....##.#....##..#.###.###.####...#.#####.#.##.#..##.#..##.#..#..#.#.##..####.#..##...######.##..###.#...#####.###.#.#..###.##.##.#...##..#.##...#.#.##...####.#......###...##...#..#.###.#######..#...#..##.###.....###...#......#.....####.##.#.##.#......##.#.....##...#......##..#...#.###..##.#..##..#..#####....#.#####..##...#####...###...#..#.#.###..###.#.###.####..#...##.##.##..##..#.#..##.#.....
###....#.#.#####.#.#####.#.##.###..###...##.##.#..#..#..#..##....#.#...#####.#..#..#####.#......##.#.#.#....######..##.#.#.#...##..##.#..#..##.......##.#..##.#.#.#.##.########...##..##.###.#######.######.#.#.#..###...#..###.#####..##.#.#.#....###.#######.#..#....#.#..##.#....##..###..##.#.#.#.##..#.#...#.#.##..#...#.#.###.#.###.####.###..#####.#..#..#....##.##..#.##.#..#....####.##..#.##....#..####..#.#....#..###.#.#.###...#.#.#..#..#...#..#...#..##.#..##.#####...####..##...#.##...#.###.#.##.#.#...#...##......#...#.#.#####.##.###.#.##.#..#..##....#.##.#######.#....#.###.#.########...#..###..###.##.##...#.#.#....#..#####.#..##...##.#..#..###.#.###.####.###.#...###.####..#.###..##....##.#...#.#.####....#..#########.###.########..#.###...###..###..###.#.#..####.##.#####.#####...##..##.###..##.#.###.#....#...#.#.##..###..##....#....##..#..##.###.##.######..#.###.##...#.###.#.#...##.##.#.###.#.######..#.#.#..##.#..##.#...####.##..#..#.#.#..###.###.##.#.#####.#.##...#.###.#.....#..###.##..#.####...###.###..#..#.#.##.##....#..#..##...#.###..##..#.#.#.#.#..####..#.#.#.####..#####..##.###.#.....#..#..#...##.##...####..###.#.#..#.........##.#.##..##..####.#...##..#.##.#.#...#.#.#..#..###.....##.##..#...#.#.#..##..#..#.##.#.###..#...##....##.##.##.##...#..#.#.#....#.#.##.#####..###..#.#.#.##.##.#.##.#.....#....#....#...#..#.###.#.....#.#..#..##..#.###.#..###..####..#....#.......#...###.##.###.#....##.#..###.#...##.#..#.####.#..##.#...####..#..##....#...##.#...###.#.#..#.##.#...##.###.....###.####.#..###.......#...##..#.##..###..###...#.#########..#..#..#.##.##..###.#.#.##.#.#.#.....##.##.#.#.#.###.###.##.....#..#...#.#...##........#.######..####..##...#...#.#.#...#.#.#....###.#..###..#.##.#..###.###.#.#..##...##.##.#.######.####..##.#.##..##.#.##..#.##.####.#####..#.#...##.###.##.###.##..##.#.##...####..#.#.#..##.######.#.#....##......####.##.###....#####..#.#..##.###.####...#..#.##.#.##...##.#..##.##..#.#..##...##..###..######...###.#####.#########.##.#.####..#........#..#...
.####.##.#.#..##.#.##.##....#....###.#.#..##...#.#..#.###.#...##.#..####..####......#..#..####.#.#...#.#.##.#...##...#...##.#.###...#...#..######.#..##....#..###..#...##.#####.##.#.#.#....###.#...##.#..#.#.####...####..###.##......##.##....###......#.#.#.#..##.#..#.#..#..###..##.##.#.#..#.#..####...#.##...#...##..##.#....#....###...###....###.###.########.#.#..#..###..######..#.##..#.#...##.##.#.###.#..##.#...##.#..#.....###.##.#####.#.........####.#..#.###.###....#..#.#.##...######..##..##..#..#.#......#.#.#.#.#.......###.#..###.#..#.#....##.###..#.........#.#......###....####.###..#.##.##.#..#..#...#.#####.....##..#.##.##.#####...#.####....#.#.##########.#..#..#.##.#.####..#.#..#####.#.##.##.######..#.#.###...#.#..#.####.##..######..##.####..##.#...##.##..#.#.##...##.#..##...#.##.#..#...#######.##.#.###.#..###.##...####.####.######.###.....##....#..#.#.##........###..##.#....#######.#.###.#.#.#...###..#.#..##.##...##.##.##.##...#####...###.#.#...##.#.####.###.##..##.#...#....###.##..#..#..##.###..##...####.#...####.#####...#...#....##.#.##...#.#..#...###.##......#.#...###...##......#####.##....##....#..##.##..##..#..###.##..#.#...#......#..##..#....#....#.##...##.#.#.###..#..#..#..###.####..########....##.#..##..##..#.#.#.#..#.#..#.#.#.#..##...######..#.###.#.#.#.#.#.#..#####...#.##...##...##...#...#.##...##.....####.....###.##.#.####.##.#.#####.##.#.##......######....##.##..#..#..#..#....#....####..###.##..#####..##.#.....####......#.#.#####..#.#.#..###.#..#...###.##..#.#.....######..##.###.#####..#...#....###.##.##.##.....####.....#.#.###...#....#.####..##.##.####....#...#.####...#.###.#...###.#.#...#.##...#....##.#..#.#.##.#.####..#.##..####.#.#.#...#.....#.####..#.###.#...#..###...#.##.#.#..##.#.#....#.#..#.#.....##.##.##.#.#..####..####..#####..#.#.##.#.#.#..####.#...####..#.#....#....###..###.##..#...#....#.##...#.##.####.##.#...#.#.#.#.#.#.##.######.##.##.##....##...###.#..##.#........###...#....##.##.#.###.###.##.####..#..#####..#.##.#.#.....#.#.###...#.#.
###########.#...#...#..##....##.#...#...#...#####.#.##..###..#.#.#####..#...##..#.#..#.....#.#.######..##.#..#..#.#.##.#.#...#..##..#......#######...#.#.####.#...#.##.####....#.##..#.##..........##.#..#####.######......###.##.#.##..##.##........##.##.###.....#..#..#.#.######....####.#.#.#...##..#..####..###.#.#####..##..#...###.#.#....#.#..#.###.#..###.#.#.#####.##....#.#.#.#..#####.#....#.#####.#.###...##.#..#.....#..#.#..##.#..#######....##.##..###..#.#..####..###.#.##.#....#####.##.....##..##.####.#..#..###.#...###.#..#....#....###..##...#.###.#...#...#..##...##...#.#...##.#.###.##....##..##.###.#.#....###.#..##.#..##.###...#.#.#..##..#...##....##...#.##..#......###...#...##....#..#..####....#.#.##..##.#.#...##..#####..##.#.#...##.#..###..#..###.###.#.#...#.#....#####..##.####.###......#..#...##.###...#.####.#.###.#.###......##....#..#..###...##..#..###.#.#..####.###..#..#....###.#.##..####.#.#.#....##..#.####...####.#..#..#..####.#####...#..##.......###..##..##.####......#...##.#..###..#.#.#....##.....##..#.#.##.##..#.#####.....#..##..##...##....###.#.###.##.#.###..#..#.#.#...#...##.#.....#.##..#.#....##..#.#...#..###....##.#.#.###.###.###.#..###.#..##.##....#...#.#..###.#....##....###.##...........#.##..##...#####....###.....#..#....##.....#...###..#..#.#....#.###.##.######.##.#...##.##.#.#####.#..###.########...##.##.###.##...#....###......#.#..###....###..##..#.##..#...#.##....###..#####....#.###..#....#.##.#..##.....#..#.#####.##.#..####...##..##.##..##..#...#....##.##.####.####...####...##..#.#...#...##.#####.#...#..##.#.#...#...####..#....####...######...##..##...#..##.##...#.#.##.##......#..#.##.##.###..#.#..###..#...##...#.##.##..#....##.###..#..#....#.##.####.##.#.##..###.##..###.##.###.##.#.###...#..#.#..#.####.#...###...###..#...######.......#.###..##.#####..#...#..#...###...####..###.#.####.###..#.#.##....#..#...#..##.###..#..#..##.#####.#.....#.###.#.###...#.##....#.#....##.###..#####.##...##.###........###......###..##..#.#.##.#..#..#.#...##.##.#..
.##..#..#..####...##.##..#..#.#...#...#.#...##...###...#...#.#.##.###...###..#####...#..#..#...#.#..####..#.#...##..###...##.###...##.#...#.#####..#.#.##.##.###.####......#####..####...##.....#.......##.####...###.##..##....#..#.####.#..#..#.#......#..####.#####...##.#.#.##...##.##.####.#..#....#.#..#####.......#..##.#........####.#..#.#...###.###...####..##.#..######.#.#...##....#.###.##..#..##.##.##.###.#..#.#.##..###.###.#..#..#.#.#.#...#....##.#.#.##..##.####...##..#.......#....#.##..#####..##....#..##.#..#.####.#..#.#.##.#.#......#####..######..#.#..##.#..#.#.#.###...#......###.####.#..##.##...###..#.#.#..#..#.####.##..##..#.####..##..####....#.#####..#...#..#...#..#..#...##.##.###...#...#####..##.#.##...##.###.###.#...###.###..###.#........##..#.#....####.###.###.#.##.##.#..#.#....#.####.#.........####.##.#.##..#.##.#.#.##......###..##..#.....#.....#.#.#...#.##..##..#.....##..#.##..#..####.#...##.#..#.##########.#.##....##.##....###.######..##..####..#..###....####..##.#...#.#...##..#.#.#.#..#..##..######...##...#.##.#.#..#.##.#.###.#...#.#..###.###.###..###.#....#.###.###.###########.###.####..##.#....####.#.####...#.####.#...####..#..######.#.....##..######....####.#.###.#.##..#..#.##..#.##.#.#..#.#..###.#.####..#.##.##.#.###.#.#..##...###...#.....####.##...#####.#.#..####.#.#....#...#.#.#.##..##...#.###.#.##..###.###.....#.#.#..#..#.#...###.###.##.#..###...#.#.##...#.######.###....#.#..#..#.#..#.#...#.#..#.####....####.##..#.####....#..##.....#####...##...########.####.##.....#.###.####.###...#..#.#####.#..##.##.#.##.#..#.#.#.#####..#.#.####.#.#...#.###..#####...##........#.#.#.###.##.#...#..#...###.....####...#...#...####...####..##.#####...#.####..###.#....#...##.##..#.###..#...##..#.#..#...#.##..#.##.###.#.#.#####.#..#...#.#.#.#.###..#.##..###.#..###.#.#.#..##...#.#.....#.#.###..#..###.#.##...###..##.......#.###....###.#.#.#.#####..#...##..#..##.#.##.##.#.###.#####.....#..#.#..##..##.#.#...#####.#..###..#.##.##..###.#....##.....##.###..##.#....#..####.#.
.##.......###..###....#.##.#.######..###.###.....##.#.........##.###..#...##.#.##.#....#.##..#####..#.#.####..#.#..#...##..#...#..#.#..####...##.##...###.#......#.####.#....####.#.#..##.#.###.#.##.##.#...#.....#.#######..##.##.######..#..###.####.#..##..#..##..##.#..##.#########.......###..####...#...###..#...#####..#.##.#..######....#.#..###...#.#.#.###..##.#.##.#..#..###..#.##.##.##..#.#....#......##.####..#.####..####...#..#.##.######.##.#.#.#..##..#.###.#.###..#..###..####.#.#.#.#.#.##..####..###......#..#.#########....#..#.####..###...##.##..##.##...##.#...#..#.....#..#.#########...#####.##..####..####..##.#..####.#...#.....#####.#..##...#....#...#.#..##..#.......##..#####.....#.####...##..##..#.....#...####.##..###....#.###.#######.#..####....##.###..#..#####.#.....##.#...##...#..####.#..####..#..#.#.#...###.####.##.##.######.##.#..#......###.###.##..#..........#.#.#.....######....#..#..##..#..#.#...#.#..##..#.#...###.....##.#..###...##.###.##...#.#...##.#.....#..#....##...##.#...#..##.....#.####....##.#.#.#..#...#.#.##.....#....#..#..#..#...##..#....#.###.#.##.##.#.......#.#.#.##.####...#.#.##..####..##.#..#...#.###.#.#..#.##..#.#..##..###.#....#.#.#.....#..#.##..#######..###...##...###.#....#.####...#..###.####.....###.#..####.#.######..####...#...###..###..#.#.####.##...#.##..#.#..#..##.#..##..#..#.#......##........##.#..######..###.#.#####.....#.#.#.###..##..##.###.##..##...#..##.###.##.#..#.#..#..#.#.#.###..####.#.#####.###.#.######.#.##.#.##.#.##.##.###.#.#..#.#.#...##..#..........###########.##.###..###..#####..##.##.#.......###......##.###.#........#.###.#...#####.#.#....#######...######..#..#.....#####.#.#.#.#.#.###.##.##.#..##.#..###.######.##.#.##..#..#...#..###....#..#...#.##..###.##.#...#..#.##....#..###.#..#.#######.##.#...#.#...##...#.#...####....#....#####.#..#...#.####...##.###..#####......##..####...#...###.###..#.###.####..#.##...##..##.#..#.###...#.#.###...##......#..###..##...##.....#.....####.###.###.##..####....##.###....#....#.#..#.####
.#..#..##....#.#.####.#.##.....#.#.#..#.##..#..#.#.##...#.#.#.##.#...###..##...##..###.####..#.#.######..##.##..#.##.#...#..#..#......##..###.....##.#...#..#.#..#..#.#####.####...#.#.##.#..#..####.#.#...##.##...##.#########..##.#.#..##..#....###.....##.#..#..#.....##...##...#..#.##.##.###.#.#....#...###....##.#.....#...#......#####.#.#####...##.#.....####..#.#.#.#####.##.##.###.##..#.....##.###.#.###.####..##..#......#.#.#.#....#..#.#..##..##..###.###.##..##.#.#.####.....#....####.#.#...######.#.#.###.##.####.####..#..#..#..#..#..#..##....##.#######.#....####..######.#.##.###...#...#..#..#....#.....##.#..#...##...##...##..##....#..##..##.#####.#...##...##....#....####.#...####.##.#.#........#####....#..##..##..##..#####..#..#.#..#..##...#..##..###...#..#..#.###..#....####.#......#..##....###.####.#######.#######.##.....#...##.#...##..#.####.###..#.######.........#..###.#..#.##..##.##...###.####.#####.##.##..#.#.#...#...#.###.#.#.#.##.#.##.#.#.##.#....##.#.#########..####..##...#..##.#........##.#....#.##.#.##.##..#...###.#.#.....###...#.##.#.#########...#.####.#..#.......##...##..###.#..#..#####...##..#.....#..#.....##...#.###..###.#..##..#..##.#.#..##.#..##...#...##....###.#.......###..#.#.#.#.##.#.###..#.####.#.#......#..#..#...#..#..####.#...#####.##.##..###..#..###...#..##.###.##....##....##.##..###..#..##.#####....###.#.#.....#...#####.##..#.##.#..#..###...#####..##.####.###.##.##.###.##...#.##.#.......########.#.#..##..##...#..#######....##.####.##.####..#.##.##.#..##.##.#..###.#...#...####.#....#.###....##....#.##...#####..#...#.#.#....#.##.#.#.##..##..#...#.##....##....#.......########.##..#...##.###.#.###..#.####.#..##.##..#.##..######..##.##...#..#..######...##....#...###..#####.#..#..##.....#####...###.####...##.####...##.....#......######.####...##.###.#....#..####..#....#...##..###.#..#.....#.#.#.####..#.##.#.###.#..#.....###..#.#...#..###.##.##.#.###.#.##..####.###.#...#....#..#.#......##.#.#..#.####...#.##.#..#.####...#..####.#..#..#.###...###.######.
.##.####..#.#......##..###..#.#.####.#.....#####...###..####.#...#.##.....##..#..####.##.#.#.#.#..#....#..#####.##....#.##.#.#.##..#.#.#...##.#.####....#...#..#######.#..###...###..#...#..#..#..#.#..#....#.#...#.###.###.#.....######....#.#.#..#...##.#.##..#.#..##.###.#......##...###..#...##.#..###.####...#.#......#..#.#.##....#.#.#.##..#.......##.######.#...#..........###..#..#.####.###....#####.#.#.#....##...###..###.#....#..##.##..####..##.#.##..........#....#.#####..#....#..##.#.#..##..#....######.#.....##.....#.#.#.###...#.#...####.##.#..#..###....##.#######.##..####.#..####...####.##...#...##..#....#.#...#..#.##.#.######..#.#.##....#.###.#.####...##..###.##..##..#####.####.###.#....#....###.......###.......##...##.##.....##..###.##..#.#.##....#.##.########...#..##.#..#.#.##...##....##.#####..#.#.#..##.#..##....#...##.###....#.##....#....####...####..####..###..#...#..#....##..#....#...#..##..#..###..##.....#####...#####.##.#.#.#..#....##...#.#.#...#######.#...#.##...##..#..####.##.#..#..##.#...#.#.####..##.#..#.#.###.....#.##...#..####.###.#.#..#..#.###.....##.#.##.##.#..#.##.#..#.#...###.###.....##.#..##..###....#.####.....##.#..#.#.#.##.##..##.....###.###.#.....#.#..#..#...##.###.#..#.......##.#..##.###.##.#.######..######.#..#.##########..##.####....#.##.#.#####.#.#.#.#..#.###.###.#..#.###.#.###.#..#####..#.....#.##.##.####..##..###..#.#..##...#.##..##.##...##...####..#.#...##......#.##..####.#..#....##.##.###.##..##.##.#.#.#...#.#..#..#.#.##..#.#..##..####.##..#.#.#.#.#####.##...#..########.#.##.##.###.##...##.#.#..######...#.#..#...##.##.####..#.#.###......#####.#.#.##.....#.##.#.#.###.......###.##..........######.###..###.#.#....#.####.#.#.#.#..#.##..#...##..###.####..###....###..#.#.####...##.#..##...#.#.###....###....##..#....#.#..##....#.#.#...#.##..#.#.##....#####..#...#......##..#.#...#..#.....#.##.##..#.#.#..#..#..........###.#.###.#...##.##......##...#..#.###....#.#.###.#.##..#.#.##.#......###.....##.#..#.#.##..##.#####.#.##....#.#.#.#.####.#######
.....#.##.....#..#..#.###.###.###.###..#.###.#.###....##.#....#....##..#.####.###.##.##....##.#.#.##.##.#.#.##.##..#.##.#...##...##..#.##.#...#.###..####.###.####..#.##.##.##.##.##....###.####.######..#..#.##......#.#.##.....###.#...##....###..####.....######..###.#.#.##......#...##....#.#.##.#.##...#....##.#.#....####.###.#.#.#.#.#..##.#..####..##.#.#..#..#...#.##.####.#.#.##..#..######.#.###..###.....#..##.#.##..##..#....#.....###.#.##.#.##..####.#.###.#...#..#...#..#....#.####.###....#.#######.#...#.#.####..###........#.#..##..#.#.#....#.##..#....###.....#..#..#..#.#.##.#.#.......####.#.##.#.#.#..#..##.###.#.#...##..##...#..###..#.#...#..#..#..#..#.###.##...##.#..#.#.......#.#.#.#...#.#..#.##.#..##.#...##..###.#####..##...#.#.#...####..#...##...#..#...#.####.#...######.#.##...##..#.#..##.#.#......#....#.##.#..#..##.#..###.####.####.#....#.###......##..#..###.#..#.....##.#...#.#..##.###.#.#......#..#.#.##..##....##....#.##...#.....##.##...#####.#..#..####.###.#.####.#...#....######.#.##..#..#..###...#.#.#..##..#.#..##.#..#....#..##.#.####..###.#.#...#.#..##..#.#.#...##..#...#..##.##............####..#...#...##.#....#.##.####.####....###...###.#..#.###.#....#....#.#..##.#.#.#.#.#...###.............###...####.######.#....#.#.####....####.#.##.##.###.########.##.....##..#....###.##.#..#...########..#.##.#.#..#.#.##.#..###...###..##.##...###...##.#.#....##.##.#....#...#####..#..#.#.#..#.#.#....#.#..###....#.#.#...#.#.#.#...####.#..#.#####.##...###.#..#.#.....####..#.#....#..###.##...####...#...#...##...#.#.#.##.#.###....#.###.#....#.###.#....#..##..###.#.###..###..#.###...#.....##.#...#..#.#.#.#####.....##.#...##.#.##.##.######...#.#...##...#####....#.#######....#..#.#...###.##.#....##.##.#.##.#.#..#.#..#.##..#...#.##..###.#..######...#.#.#.###.#..###..##.#.....#.#.##...##......#....##.##.##.##.#.#..###.###..#..###..#.##.###.###.#.##.#.###..#.#.##.#.#...###.###....#.#....######..#.##.....#..#.##.#.##..####....#....#.##....#..#..##..##..###..#######.###...##.#.#..#.#.#
..#.###...####..#.####.#.##.##..#######...####...#####.##.###.#.#..#.....##...###.#.#..######.#..###..#.###...#..#.#.##.....#..###.##.###..###...##.#....#..###...#.#.##..##.#.##..##..##.####.#.#..#.#######..####.#..#.#.###..#.##.##..##.#.##..#.....###.#####..#.#.#...###..#....#..#.#.##.##...#.##......###.##.....#..#..###...#.##..##..#.#..##..#.##..##.#....##.#####.####.####..#.##.#..#.#.#.##.#..#...#####.#.#.#...###.....#.....###.#...###..##.#..#..#.###.##..#..#.##..#..###...##..#####...#.....#.#...##......##.###.##....#..##......##.#####.##.#..#..#.....######.#.#####..#.###...####..##.#........##.######...##..##.#..#...##.#.#.##.#...##.#...#.#.#...##..##.#.#.#.##....####..#...##..##...###.#.##..#.##.#...##.#.#.......#.#..###.##.#.#.#.#.##...####..####.###.#...#....##...###.#...##..#...##..##......#...#..#....#...#...#...##.##..#..#.#.#.##.###.#.#.#.#.#....#.#####...#..###.#...###...#.#.....#.#..#.#..###.#...####.##..###.#.##..##.#.#.##....###.####..#...#.....#########.####....##.##...###.#.#.#.#.#..#..#.##...#.###..###.##.#####...##.#.##..#....#...##..##...#.#.##.#######.#.#...#.....####...#.##....#....####..##.#..#.###.####.####.....###.#..#....#.#.#.###.#...#...#.......#.#.#.#.#...#..###.##.######.#.###..##..#...#######.#....###.####...####..#....#.#.##.#..###.##..#.####.#.####.##.....#..#...#.#..##.#.##.#...#...##########..#.#.##.....########.###.#..#.##.###....###....#.#.####.#.#...#.#.##..#.#...#####.#....#..#..#.##.#.#.#..#..##..#.#.#..#.#.###.##...#..###.#..##.......######...#######...##########.##..#..#.###.#..##...#.....####.#..#..#.#..###..####...#..####...###.#..#####.##.#...#.##..####..#.##..##.#.#...#.####...#.##...####.#.##..##.##..##..#.##....#....#.....#..####.#..##.###..#.#####.#.#.####.###.#...#######....##.#.#...#.#.###.##....#.#.....#....#.#...#..#......#.###...##......#.####.#.........#.##...####...##..#.#.#...###.###....#.##.#.##.####.#...#####...####.#..#.####.###.#.##.#.#.......##.#....###...##...#.##..#..#####..#.##.##.#.#.#...#.#..#...#...
.#...#.####.##.###..##.#.##.##.####.#...###.....#####..#..###..##..#.#.#.##....#.##.##.....#..##...#......#...####...#.####.#.##..#####.#.#.#....#..#.#...###.##.....#....#.###......##....#...#..#.#..#..#.#####.#..##..#.#..#.#.####.....######...##..##.##.#..####.###...#######.#...##..#..#.##.#...##...#.#........#...#.#####....#.#.#.#.#.#.####..##...##.###..##..#.#.....#.#.#....#.#.....##..###.###....##...#....#...#.#########...##.#####..#####..####..#.##..#.#######..#.#..#.##.##.####.#..#..##.##..#.###..##.#...###..##.#...##.##......#.#.#.########...#.##.#..###.##..#..###.###....#####...#..#.##..###.##...#..#.##.#...#......###..#.#.####.###..###.#...######....#....#.##...#...##.#......###..##..#.#..##.#.#.#.#.###.#.##..#.####..##.####.##.###.##..#.####.##.###...####.##..#..###...#.#..#.##..#.##.##..########.#.#...#.##..#.######....#....#...##..##.###.#...########.#.#.#..##..###.####...####..####....#....#.#####..#.....######...#........#...####..##....##...#.##...####.#...####.....#.##...##....#...#..#...###.##.##.....#.##.###.#.###.#.#..###...#....#.##.#..####....#....#.##.#..##...###.#.#..#.##.#..#.#...##..#.####....##....#####..#######....#.#.#.#.#.#.....###......###......#.##.#.###..#.##..#.####.#######......#.#..#.#.##.#.....#..##.####.##.....##.######..#...###....#.#...#...####...##.#....##..#...#.#...##.#.###.###.#####..#..####.#....###.#..#.###.......####...#..#..#....####.#.#..##.....#...#.#####...#.######...#..#...#.#####.##.#.##.#####....##....#....#..#...#.#####....#.##.##.#.#..####...#.#.#..###.....#.#..#........#######..##.#.#.#.###..####..###.#.###.###.###.###.#....###....###.####.#...##...###...###.###.#...###.###..####.###.....####.###.###....#.##.....#...#.##.###.####..###.###.#...#####.##.#.#..#..####.#..#..######.#..###.##.#.##..#....######.##.....#......#.###..##.#######.####.#.#......#.#.#######.#.....###.#.###.#...#....##.#..###..##.....###...#.##...#...#.#..#.#.#####.......####.###...#.#.###..#...#.##.####.#.#...##.#.#..#..###.#.##..##.####...
.##.#####.###..####..#.####...###....#.#...#.....#.##......##..#########...#...#.#.#.#.##..#...###..#.##.##.#..##..##.##.#...#.#.######..#.#.#.#...####.##.#.#.#.#.#..#.#....#.#.....#.##...#.####..###...##......#..#..#.#.......#..###...##.##.##...#.#....##.#.##...#.##....#######.###.#.#.#.#...#...##..###..##.#..##.##...####..#.##.##.##..........#####.##.##.####.##...###.##...###..####....#.#.##...#..#####.###.##.#.#.#.#..##..###.##..#####.##..###...#.#........###.##...#..##.#.#.#.###.#.##...#...#.##...##.####.#..####..#..#.#.###.###..#.#####.##.##..#.#.###..##.#..##..##...##.#....#.##.##..#.###.#.##.######.##..##............##.######..#..#.####.#...#.#.#.#.#..###...#.##.###.##..####........#.#..#.##..#.#.###..#.##..#.####.##..###.#.##..###.##.##.....###...#.#..#......##....##.#####..#.#..##..#.....##.#..###.#.#.###...###....#...#.#.####.#.##......###.###..#.#.##.....###.###..#####....###..#...#.#..###.##.##.##.#.##...##..#.###.##.##..#.####.#...#...####.....###.##..#..##.##...##.###.##.#.##.###.#...##...#...##.#.##...###.###.##.##....#...#.....#....##.##..##.#.##.##...##....#..#.#......##....#.###.#######.#.###.#.##.#..#####..##.#..#######.....#.##.##.#.#.#.##...###.##...##.##..###..###.##.#..#.#.#...#..##..###..#.#.#.#.#.##.#.###.####.##.######.#.##..##.###..#.#.#.#...##.#.##.#.###..##########.####..###..#.#.##..#.#......#..#.##.#.#.#....#.###.#.###.####..##.##..#..##.#.####.#.#.########..#.#....#.#.##.######.#.####.....#.#.##.#.....#.#.####.#..##..#.#..####.#..##.#......#....#####.####.#.#.#.##.#....####.###..#####..##.###.###...#..##.####...######..######.#.....##.#..##..###.####.####.##..#....##....#..###.#.######.#.###.#####....##.#.#####..#.#.##.#.#.###.........#......##....#.##...#.#.#..#.#.#..#.##.##.#..##.....#.#..##.###.##...##..##.#.#..###.###..........###.#...##..#.##....#.....###....##..##.####.##.#.###.###....###.#.######....#.#...#.#..#..##.###.#.#.#..###.##...#..###.#...###.#........##...###.#...####.##.#..####..#...#..##.#.#....#....#######.##..#.###
..##.#...#.#.#....#..##.######.###..#......#...###..#...##..#.#.#.###.#.#.....#.#####.#.###.##.##....#.##..#..#..##.#.###...#...##.###..####.#...##..####..###...#.###..##.....###.#.###....#.#......##...........##...#.####..#.##...#.####....#..####.#..#.##......##.####.#......#.###.##..##..#.#.####.#..#..#.##...#..###...#.#.#..##...###....#...##.#.#####.#.#..##..#..#####....###..#..##...###.######..###.#.....#..#.....#.##..###.###.##....#...#####.#.#.##.#..#...##.####...#.#....##.#...##..#....#..##......##.#########.....#####.#.#####.#.#.##......#..#.####..###.####.#..#..#....#...#####.#.#.#.##.#.######.###.#.#.....#.#..#.####.###.#.#..####.#..#..#....##.##.#..#.##..###....##....#.#.##...##.#..###..##.#.##.####...##.#.#..#.#.##.#.#.##...##.##...#.###....#####...##.#.#..#####.#..#...#.......##...#...##.####...#...#.#.###...##..#.###..##...#.....####.####..##.#.......####.##.##.#....#.#..#....#.....#....#####..#...##.#...###.....#...#.#..###...#..#..###...###.....####.#.#####.....###.#.#.#...####...#.#.####....#.#...##..#.#...#..#.###....#.##....#.##....#.###..####..#.###..#.##......###.#.##..##.#####...##.####.#.##..#.#....#....####.###.#..###..#.####.#........#....#.....####......##....#...#####.#########.###...#..#..#..#..###...###.#...##.#..##.#...#..#...####...#..##..#.##..#.##....##.#####.####.##.#.#.......#..###.....###.#.#....#.###.##..##..#..#.....###.#.....##.####..##...###..#.#####.#....##########...##....###...##..#####...###.#...###....#.##.####..#.##...###.##..#########...#......##.#.###.########.###...#....###.#..#..##.##....#.####.#####.##.###..#####...#.....#.#....#.#..####.##..###.#####...###...#...#..########.###..#.#....####.##.####..#.#....#..####...#.#..###.##...#.###..########..#........#..##..#...#.#....##....##.##############.#......##.#.....#......#.......#..###....#..##.##.##.##....###..##.#.#........##.#..###.#.#.###.##......#.#...#........###.#.......#.#.#..#.#.....#........##.##.#.##.#.##.##.##.#.#.###.#.#...#..#####..##.####...###....####
###..##..###.#.#.##.#.#####...#..#####..#.##..#...#...##..#.##...#####..######.#..#.#......#.###.....#..####..#....#......##.#..#..#...##...###.#.#.##.##.........#.##.##.....##.##...#.#..#..##..###...#.#..#..###.##.#....#..##..###..###........##..##.#.#...####.#.#..##..##..##.###.#...###.##.##.#.####..#.###.#.#..#.#.#....##.#.##.##.#.#..#.#.#.#...####.####.....######..##.##...######.........##.###.....#...###.#...#..#.#.##.############..###.#######..###.##..##.##.....###..###....#####...##.#.#..#.#.##......#...##...#...##...###.###..#.####.#.#..###..#.###...#..#.##..#.###.###..##.##.####.###.#.........##..#...####.#.#...#..#..####..#####..#......###....###.##.#.###.##......#.##.#.#...#.####..#.#.#.....###..#..##.######.#.....#.#..#######.##.#.###..###..##....#.#..#.#.#......#.##..###...#...###..##...##.....#...#...#.#.####..#.##..#...#...##.####.#...#..###..##.#..##.##.#######......##..#........###....#..##.#..#....##..#..#......##.#..##..#..#.#.#...#....#####...#.#..#...#.#.######.#.#.##.#.##..#....##....#...#.##.#.##.####..######.##.##.#..###.####.#.#....#......###..#..##.#.#.####..##.##.#.##.#.##.##..#.#...#...#####..#####..#.##.##.###.#.###.####...########...##.##.##..##.#..#...#####.##........#...#..##...#....#...##..#..#.#..#######.#.####.###..####..#.#..#.#####..###.#.....#..##.##.##...#.#.#...#..##.##.#..#.###..#.#####....##......###.#...##..#..##.###.#.##..##....###.#.##.#...#..####..##..#..####..####.#.#.#..##.###...#....###.###.####.###....#...####.##.#...#.##.##...####..#######..#####..#..#.##...#..##.#..####.#.##...#.#.##.##.####...##..##.###....#.#.....#.#......#.##.###..##.#...##..#..#.#.#.#.##.#..######......#..#...##.#...####.#......####..#.#####.##...#..#...#.###.#####.#..#.#...##..#..##...#..#.##..#....#..#.....###...##...#...####.#.###.#..#..####..###.##..#....#####..##..##..####..##.###.####....#.###...#..#...##.#.......##.#.#.##...#..#.######..###.#.###...##.#.###..#.#..###.#.#.#..#.###.##.##.###....#..##...#.#.######....##.###..#.##..#..#.###.
.#..##.....##.#....###.##.......###.###.#.###.#.####.#....#.....#.#.#.##.###..#######..##.#....##..####.#..###..#.######.###.....#..###...##.#..###...##.######....#...#.###.###..##....##.#.###...###...##.#.##...#.#...##....####..#...#..#...#.#..#.#...####.####..##.###.#.##.##...#..#..##.....##.#.###.#..#..##..##...#.#...###.#...#.##..###.#..#..##....##.#..##...##.##..###..#...###.....##.#.#######..#..#..#.##.....#.#.#...#..#.#...#.###.###.#.####.##.#.##############.#......#.#.#.####.......#..#..#.#......#.#.....##..##...#..######.##.###..#..#..#.#...###..#..##.##.....#..##.###########.#.##.####.###..#...#......#.#..#.....#.##....#...####.#.##.###.#..##.###...#.##..#.###....#...#....##....#...#.##..#...#.#....#.#.###...##.#..#.....#.##..###..#...####.#.####....###..###.....##...###...#.###....##.#.#.#.#.###.##..#..#...##.##..#..###..#.#.#.#####.####..#######..#.#.#..#.#........##..####.##.#...###.##...#.#..#..#...#.#..##.#.....##....##..##.####.#.####..##...##......#.#.#.##.#..##.#...##..#..##.#.#.#..##.##.##.##.#..##....###.##..##.#.....##...#......#.....###.....##.#..#.#...#.#.#.#..#..#.######...#..#.#.####....##...##.##.####..##..#.#.#.##.#....###.#....###.##.######.#.#....#.......####..#....#..#....##.#####.#.###.###.######.####.####..#..###..###.#.#.#..#.....####...#.###..###...##....##..##......###...#..#.#..##...##..##.#......#...#..####.....#.##..##..#..#..#..#.#..#.#.#.#...#.....#...#...#..#.###.#..#..#.##..#..#.#..###.######.#.##.#.#..#..#.##..#...#...###..####...#..##.....#..##.#....#....#..#.###....#######..###.##.##...###.#.#.###.#####.#.#.##..###.####..###.##.......#.###..###.#.#.##..#...#.##.####...##...#####.###.#.##.#.#####.#.####..##..#..##.#....##.#.##.#.##...###...#..##.###.#####..#.####.#####.##..#.....#.#..##...##.#....##.#..#####..###.#####..###..#.#.....##..###......###...##........###.#.#...#.##.....##.##.....#####.#.#...#...###..####..######....##..#.#...#.####.###..###.###.##..#..##...##....#.#..##..#.#....####.####.#...#..#..#..###..#.#..#
#..#..#...#####.###...##.######.....#.###.#..###..#..#..#...#.#.#.#....#....####..##.###.....###.......###.....###.#.##.##.#.#.###.#.###.#.#.#......#..###.#...##.####..##..#..#..#.#.##.#...#...#.#.##...##.###.###......####.###.####..####.#.##...###...#.####...###..###....##.....#...##.#####.###...#.#...#....####.####......###.##..####.#.##..#..#....#..####.###.###...###...#.####.###..##.##...###.###.##..####.#..#...#.###..#.#..#####.###.#..##....#####...####.##.###.##.#.#.##.#.....#.###.#.##.#..##..#...###..#.#..###.######..#...##.##...#.###.#.###.#..##.#.##.#.#..##.###....#.###....#.#.##.#..#..#.....#.#.#..##...#.........###.####.#.#.##..####....##.##..###.##.........###.###.....#.....##.####.#########.###....####..#.......#..#..##.#.....##..###.#######.#.###....#...#.####..####.#..#..####..#..##.###.#......#..##...#...#.##.#..######.##.##.#.#......#..##..#..###.##.#.....#...#.##..#...#.#..##..#..#.#.#.###.#.#.#.######.###..#..#...#..###...##.#.#..##..######..#....##.#####.#.##...#..######.#..#.###.#..##...##..###...####.....#..#..##..##.###.#.#..##...#..##.#.###########.#..##..#..##.##.#..#.#..#.#.#..##.#.#.#...##.##..#.#...#.##.#..##..###..##.###...##..###.####.##.#.##...#####.#.##.###...#.###.##.#.####.##.######..######.##.##..####...###.##.#####.###.##.###..#..##.#..#.#...###.#.##..###...##.###.##.##....#.#..#.##...#.###.##..##.#..##.#.#.#...#..###.......#.####.####.##...####...#.#.#.##.##.#.#..#.....#.##.#..##..#.###.##..#..###.##.......##.#.##.#.##...#..#.###.#..#.....#.##.###..#.#..#.##.#.##..###.##....#####.###.##.###......#..###..##.###..##.####...##..##.#####.#.#..#...#..##....#..#.#.#.##..#####.####...##..##....##..###.##.####..####.#...#.##.......###...#.#.###.#.####.#...#..#######.....#.......#...##........#.##..##.###.#.#.#.####.####.#.#.#####.####.##....#..#...##.####..#.###.#.#.###..#.##..###.#.#.#.#.##..#.##.#...###..##..###.#.....#.##.....##.##...##.#.#.##.####.#...#.####.##.......#.####...###.##.###.#.##..###.#.######.#######.######.#######..###.
#.#.#.#####.#.##...#.#.###..#..#...###....#....###...#.#.#..##..#.####.##.####.#...#.#.#.###.###.###..#.#.#..#.#..####.#..##..#.#.####.##....###.##..#.######...#..###.###.##..###.##.#...##.##..#####.###...###......#....###...#.....#..#..#..#.#..##.#...#....##....#####.#.#..#.##.##.###......###.##.##.##...#.#.#....#..##.#..###...#.....#.###..##...#.#.##.#.......##..##..######.....#.#.....##.####...#...###...##...#..##..###.#..###.#...##..#.#.#.#.##..#.##....#..#..###....#...##.#.###...#.##..#.##.##..#.####.##.#..#.######.#.##.#..##..#..#.#........###...#..#####.#...#....#####..######..#.######.##.###...###.##...#....#..#....##.#####.#...#####..####....#.##..###.##.#####.#...#....##.#.#...##.#.#.....###.#...##.#.##.....#.##.####...##.####.#....#.####..##.#.#..####.#.####.###.####.#.##...#..#...#########...#.###..##....######.##....##.#.#...##......##.########..##.#.######.#.#.###....##.##...###..######..#..####..#######...#...#..####.....#######.......#.....#.#...##....###..##.#..#.#..##.#########.####.#.####.#.##.##.###...........#.......##.....#.#.#..#.#..#.....###..##....##......#.##.#...#.###..##....#..#####.##.#.#.#.#...####....##...#.#...#.####.#..###....###...#...####..#########....###..#.#...#####.#.#..##.#..#...##.#.####.#.#....#.#####....##...#...##..##...##.##.##....#.##.##..#.####..###..##...#.##.##.##....####...##.##..#....####.#.#..#.##......###.#..#...####..#.#.#.#...###.###.###..###.#.......#.#######.#.#.##.####.#.#.#.#..#...####.#..##..##.#.####.##...##..##.#####.#..####..##.#....##..#.#.##.....#.##..######...#.######.##....###.##.####...#.####.##..#.#.###...#####.#.#.###...##..####.##.#..##..#..###...##...##.#..#.....##....##...#####...#.#.#..#..#.#.#.#########...####...#.#..#....#.###..##.....#.######...#####.#....########.#..##......#....#.#.###..##.....#.##.#...#..#.###...#.#.#.###.....#.#.#..###.##...######.#####..##..##....#...#...#............#..#.#####.##.#.#..#..#.#..#..#....####.#....#.##..###..####.###.##.##.#..##.#...#.##....###.....####..
##..#...#..#..#.#####..#.#...#...#...###.##.#..##.....#......#.#####.##..#.##.##..#...#####..#.####...#.###.#.##..##....##.#..##..###.##...##.###.#####..##.##.####....###...##.####......##..#...#...########.##.#..#...##..#..####.....#..#.#.#....#.#...##..##.##.........##.##..###.##..##.....#.#####...##.#.##.#.##.#..........#.#.##.###.#####......##.###......##..........##.##.#####.##...##...##..####.#.###.#..#...##..#.####.#...#.#.##...#...##.##.####.#####...##.##.#..#..##...#...######.#.####..##..##.###.##..##....#..##..#.#......#.#####...##.###..#.#.##..#.....#.###.######.#...#...##..#..#.#.#....#...##..#..#.###.....#.#..#..#...########.....##.##.##.##.#...######.####.#.#.#.##.#.......###.#.##.##.####...####.#.#.###..##.###..##.###.#.###..##..#.#####...#.##..##.#....#...######.#..#.#.##.........#.#.##..#..##..##.#..#.####..#.....##.##...##..#..##.##.#.##.##..#...###...#..#..#.#.........###.###..####....#....#....######.###..#..##.##...###...#....###...##..####..#...####.#.######.###..###..#...#####..#..##...###..#....#...##.#.##..#....#.#..#.###.####..#.#....#..#....#....####..###.#...##...##..###....#..###.##......##.###....#.##...##.#....##...###.......#####..#....#..#.##.#..###.##...##....#..#.#..######.#...####..##..#..#.#.#...#.#.#.#####...#.....####..##..#.#....#.#....#.#.#.....##...#.......#.##....#....#.....#......#..#####.####..#.#####..#.#.###.#########.###.##.#.##..##.###.###.###.#.#.######..########.##..#.#.########.#.##.##.#.##.###.#.#....##......##.###..##.###.###.#..#....#...#.#....###..#.####....##..#.##.#.#...#..#.....##..#..#...#...#..#...##...#...##....#.##.####.###..##.#.##.....#.#......##.#.##.##.##.#..#..######...####..##########.#...##..##...#.....#.#...#..#..#..##.#.#####..###.#.##.###..###.###....#..###..##....#.###.#..#.#......##.#####.###.#.##.....####..#.#.#.##.##...##.###.##..#....#..##..##.##.#.#........####.##.#..####..##...##.########.###..#.#.####.#.....#.##..#.##.##....#.#.#.###.........#.#...####...#.###..#.#.#..#.#.#..#..###..##.
..##.##.###.#.#.#.#...#...#....##...####.##....#.......####...#..#..##....##....###...##.#..#.#.#.#.#.###.#.##.#.#.######...##.######.###...#.##.##.#..##..#..#.......#...##...#####..#....##..#.#.#.##...##..##..#..#####..#....###.#...#...#.#..##....##...#.#..##..##.#.####..#.#.####...#.......#.##.#.#.#.####.#.##.####..##.#.##.....###..##...#.#..#....###.##.##.#....##..###..##...##..##..#.###....#..##...####....##..#.##.#.#.###..###.##..##.#...#..####.#....####.##.###.##..##.###.#.....#..#.#..#...#.#.....##..##.#####....##.#.#..##..####..##.#..#####.###.....#..#.##..#..##.######.##..###.#..##..##.####..##..#.#..#......#.#.###.#.##..#.##..#...#.##....###....#.##..#.....###.#...#..#....##.#..##.##...####.....###.####.#..####.##.....##.#.####.##..#.##..#.#####..#.###.##.......#..#..#....##..##.#.#.#..##..#..#.##.#...#.##.#....#.###...###...#..##.###..#.###..#...#..##....##..##....##.###...####.##..#.#.######.#..#....###.###.....##.#.###....###..#.##..##.#..##.#.##.....#.#...####....###..#...#...####.###..#....##.#######.###..#.#.####.#......#####.#..##......#.#.#.#.####....#.#.##.###..#.#......###.#.###..#.#.....####.#...##.###..#.#####..#.#..#.######.#.##.#..##.##...####...####.##..####.#..###..##...##.#..#..###.....####..###...........###.#.#..##..#.#...#.#...#.##...#...###.#.#.##.###.##...#.#.###.###.##..###...#####..##..###........##.##...#.#.......####...#.#...#....##.##.##....##..#.#....#.##.###..#.#######.##...#...#...####..###...##.##.#.#.#..#.#.##.#.##.##.###..##..#######..##.#...###....#..##...#.#.##.###.#.#...#.#.#.##.#..#.#.#.#...#..##..#...#.##....#...###..#.#...#.#.##.#.##.#.......####..#.##.###..##.###.###..#.#.....#..#####...#..#...###.#..#...#.####.###..#..##..##.#.###.##....##.#.#..##.##.###....#.##..#...#########..##.###.##.#.###.###.....#.#..#####..#...#...#.#.##..##....##...#.#####.#####.#...####.##....####.#..####...###.......#..######..#..#..#..#.###########.#.##.#...##........####.####.#.#....#.#.##...#.#.#.#..#...##..#######....#.#.#....#.#.##.#.
.....##...#......####.##.###...#.#..#.#.#.##..#.#...#....#...######...##......#..##..####.###....#.####...#.##.##....###....#.###..##..##.#.##.##..#.#.##..#..##.###..#####...##..#..##.#.##...#...#.#.#..#...#.#.#.##.###.####.######.#####.#.#..#.#....###..........#.#.##..##.#.#.##.#..#####.##..####...#...#.###...#.##..#####....#.###.#...#...#.#.#...#.####..###..###....#..#.#.#####.#.###...##..#.#..#..###.#..#.##..#.#..##.##....#...#.#.#....#.######....#..#.##.######..#..##....##...#..#.##...#.######....#.##....####......##.####.#..####..##.#....#...####.#.#..#.#.#..#.##########.#.#..##...###.#.#..#####.#....##.#.##..#.#.###.#.#.#........#.##.##.###.###.###.#.#..#..#.#......#......###.#####.#..##...#..##.##.....#.#.##.....###....####..####..#.#.#....##......####..##....##.#####..#..#.####..#.#....####.#..#####....#.##...##....#..##...##..#.#######..#######.....#.##...##.#.##.##..##...#..#..#..###.#.#.########..#.#####.##.#.#.###.#.##.#..#.#####.##...#######....##.###.#########..##...##.##..#.##.##..#.##..#...#..#.#.###..#.#####.###.##...#..##..###.#.##..#.#..#.#.#..........#.##...#######...#..#.#.###.#.##.#.#.##.#..##.#...#...####....##...##.##########.....#..#..##......####.#..##...#.##.##.#....#.###.##.#..#...##.#....##....#.#.#####.#..#..#.......######..#.######......####.##.#...#...#.##..##...##.#.#.###.##...#.#...#..##.#..####.##.#####..#...##.#.#.##..##..##.##.##..#.##.##...#..#.#...#.#..#..##.####.#......#.###.#.###....#..##......#..##..#.####...#.#####.##.###...#.##...#..###.####..#...#..#..#.#.#.###.#..#..#.....##.##.###.....#.###.##.##.#.###..###......#.#...#...###.#..##...##...########...##..##..#..#.##.#..#####.#.#.....#..#.##.#........##..##...#.#..##.#...#.#....#..#..####...#....##.#.....##....#.####..#.#.#.##.###.#..####.#..##.##.#.##.####.#####...#...##..#...###..#..##.##.##.######..#.####.######.#.#.####.###.#..###.#.#....#.####.#.....#.##....##..#.....#.####..#...#....#..###..######.##.##.##..#####.#####.###.#.##......#.#.##.##.###...#.##.##.##.###...
#.#..#.....#####...##.#.#..##..##..#........###.#.##.##.#..##.####..#...#..#.#.#.##..######.....#........#.#.####.#.#.##..#.#####....##.####.#.#.##..#.#..##...#..##.#...##.######..#.##.####...#.#####.##.#.#.#######...#.#.##..#####..#.#.#..####..#.###.#...##.###.#....#.#..##.####.##..##...#.#........#.#..#.##..#.###..#........#######..#..###.#.###..##..#..##.#...###..#..#.###..####...#.#...###.##.#####..#.#....######.#.##.#.##...#.##.##....##....####.#.#.###..#..#..#.##.#..#..####..###.##.#......#....#...###.####.####..####..##....##..#......#.####.##.###...##.#.#....####.#..##..#...##...#.....#..####.#...##..##.##.##...#.#..#.###.###.....#####.#.##...#...###.#.#.##.###.#..#.#..#.##.##.#########.####.#.#.###..#.......###...####.#..#.#..##.....##.#####.#..#..##...#..#.#.##.#.##.#.##.###.##..######.####.#...##.###..#.....##.##.###...####...##....###...#..#######.#........#.##.####.#.#.#...#..##..###...##...#...###..##.#...###..###......###....###....#..##.#..######...##.#.#.#.#######.####.#.#####..#..##..##.###..#....##..#.#.....#.#.##..###..##.#.###.####..#.......#..#.....##....###...#...##...##..##.##...###.##.#.#..#.##.#.########..##..#..######.###..##..######.#.##.#..##.#.##......###.####.#####.###..##.#..###.###.##.##.##.#.#####..####.#.##..#.#####.#....###.##..##.##...##.##..##..#.##..#.#.##.#....#...#.#...#.##.#...#.#.##.####.#.##..###..#.#.##.#.#....#..##.#..##......#.#.######.#.#...#..#.#..###.#.#.##....###..#######.#.####.....#..#.####....##..##.#.##.##.....##..##.....#.##.#..##.###.#.####..####.#..#..#####.#..##.#...##...##.##.###..##..#.##.####..#..#.##.#.####.##.#.#.####....#.#.#..#..####.###..####.......#.####..#.###.###.####.....#.#.##..####.....##.#.##.##.####..#.###.#..###...#.#.#.##.#.####...####.#####.#.###..#..########.#.....###.###.##.#...##.#.......#.###.#..##...#...#.#.#.##..##.##.#..##.....#.#......#...#...##..##....#.#..##.#......###...#..#.##..##.#..#.##..#....###..##.####...#.#.##...#..##..##..##.....##..#.#.##.###..##.....#.#..#.#..#....#.#.
###.#...#..####.#.##..####...#.#..#.###.#.##.#.###..##..#....###.#........#...#..#.....#.#####...###..#.......##.###..#..##..#..#....###.##.....#.#######.#.#.##..#..#.####....#..#.#.#.#...#..###..###...#.#..####.#.....##..#.....#####...#.#.##....#..#..##..#.#####.........#.##..#.##.......###......#....#.#.....####.#.#.###.##.......#...#.###.#...##..#.##..#.#.#.##..#######....##...#..#..##.##.##..#.#..#..##...##.###..#...####.####.###......##.#....#..#.#.########...###.......###.##.#..###..#...#.###..#.#.....##......###.##.##..##.#####...#...#..##...##.##.####..######.###.#...##....#...#....#..#.###..#...#...#..#....##.#.###.##...###...#.....##..#.#..###..#..#....#####....#.#..####.##....#####.##.##.##.###...#.#.#####..#.####.#....#####.#.####.#######.#.##.##.##.#..#....####..##.#...###.#..#....#..#.##.##.##.#.....#####.##...#..#..##.#...##.###.#..#.#####..##.#.#.#.####..#.#.###..#.###.##..##.##..###.#.#...#.###......###.##.###.#..#.#.#.##.####..####.#.##.###...#....###.###.#..#.#...##########..#.#.#......##.#####.##........#####.#..########...##..#...#.###.##.#.#......###.#.####.###.#.....#####.....#.#..##.##..####.#.##....#...#..#.....#######.##.#..##.#####..#.#######..#....#..#...#.###.#.#...##.##.#.##.###..###.#...#.#.##.#.###.#.##.##.###...#..#.#.....####.##....####...####.#.##.#...#####.##..#..##....##......##..###..#####..#.#.######..#####.#....#.#.##.#..##.##..####.##.#.#.###....#..#.#.##.#.#....#..#.....#.#.######.##.#.#.........##..#.#.########...##.#...#####.##....#..##.##....#.#....##...#.....#..#...##....###....#...#.....#.#.##.###.#..##...#.#.....####..####..#.#..#.#.#..#...##..#.#..#..###.####.#####...#....##.###.##.#.#....####.#..#..##.######..##.#.#.###.#.#.##..##..#....#..####....##..##...#.#.#.##.##.#.....###.#..##.#..#..#.##.####.##..#...###.......##.#...#.......#######..#.##.##.#.##.#.###..#.###.##.#####.......#.......##.#..##....#...######....###.##.#.###...##..#####........#...#.##.##.#.#....#.##.###..#....##...#.#.#.#.##..#.##..#####.#.#......
....##....#.##..#.....#....##.#.##..##...##..#.##.#.####..#......#...#...##..##...#####.#..#.##.#.#.#.#..##.##...#.####.#.#..###.####..#.#.#.....###.#.#####.##.####.........#..##.##....#..#########.##..#.###..##.#.....##.#....#....###.##.##.#..#..#..###.##..#.####.#...#......#..##..###...#..##...#.#.#.#......#.....#####..#.##..####..####.#..###.##.#.#.#...##.#.#..#...#.##..#....##..#.....#.####.....#.###..######...#....###..##..#....#.#.#####.####.###.##...##.#.#...#....#.#######.#.#.#...####..##.###.......#.....#...#...##.#.##.#..###..#.#..#..#.####..##..###.#...##.###.######..##.#..##..##...#..##..#.#.#...###...##...####....#...#..#.###.##.#....####..###......###..##.#####..#..#..........#.####....##..####.#.#.##.##....#..#.##..####..##...#.....#....#####..#...#..#.###.#.##...#.##.##########.#.#...#.###.##.####.#.####....#.###.#...#.###....#.##.##...#.##.##...###..#..##.....##.##.#..#...#.#...####...##.#.#...#..#.##.###.#.##......##..##.#.###.###...#####..#......#.###.##.##..#..#.######..#.#...#...#.#.####..##.#.....#..#....######.##....##..##.##.###.....##.###.###.##..##.....#.#.#..#.#.##..##....#.##.#####.###..###..##.#..##..###.#...#..#.#.##.#....#...#.#.#######.##.#....##...##..#.#...##.##.#..##..#.#...###.##..#####.##.#...###..#.#.#.###..#####.#....##.#...######.#.....#####.#.#.##.#..###.#.#.##..#...##..#.#...###..#.#.####...###.##..###...########.#####..#######.#.#..#.#..#.#.#.#.....##...#.##.##.##.#...#.#.##..##.##.####.#..####.####.....###.....#.##.#.....###...#######.#.#..#.##..####.#...##.###...##.....###.....#.##...#.#.#.#..##..##..##..#.#.....####..##..###...##.....#..#..#..#..#..#..######..###.##.#####.##...#...#.#.###...####.#....#...##..#.#.#.#......#...#.#..######.#.##.#.##..#.....##.##...###..###..#..#.#####.....##.#.#..#.#..##....#..####......###.#....##...###.####.........#..#...##.##.###.##..##.##..###.###.#....####....#.#.##..###..#.#....##.####.#.###...#.#.#.#.##.#.##.##..#####..#.....#..####..#.##...###.#.######.#....#.#.#..#.##.#.#.#....###
##.....##...#..##....#.#..###.......##.......###..#...#.##.....#..#.##.##..#.###.####..###......#....#..########..#.####.##.##..###..#.#.#.#.######.#.....##...#.##.####..##.##.#####.##..#..##..##..####.##..##..####.#.#..#.#.#.#...#...#.###.#..#.##.#.#...##.##..##..#..###...#...##.#...####..##.#..###.#.#####.#.#..#....##.#.......###....#.#..##..##.###.#..#...#..###.###.#......##......#..#.#...####.###........#.....###.####...##....####...##..#..##..##..#..#.####.....###...###..##..#....#########...##.#.###.####.......#.#.##..#.#.##.##.###..#..##...#....########....##..#..###..###..#..#.#.#.##.#..#.....#.##.#####...##..######.#.##.####....##.##.#.##.#####.#.#.......#....#........#.#####....##.#.#.........#####..##..#.#..###..####......#.#..###....#.#....###.##.#..###.###..##....###.#####...###.#.#...#.#.#.#####.#.##.....#.#####.....##..##.#.#..#...#.##.#..###...##.###.#.#.#.#....#.#.#.....##..######..##.###.#.#.##.#.#...######..##.###...##...#.#...#.#.#####.###.###......#.....#.#.....##..#.#...##.#...#..#..#.#####....##.####..#..#..#..####.##.###..#...#....#.##.#.#...#.#.#####.###.#.##.##.#..#..#######...##.###..#.#...####..##.#.###..#.##..#.####.#.#.##...###.#.#.#####.##.#.#.#.##.##############..#.#.#....##....#..#####..#..#.###.#..#..#.#...####.#..####.###.#...###.#....#.#..#.###.#...#.###.#..#.#.####.#..###....#..#.##.#####.####..##.#..###.#.#.##.#.######..###...##..#.##.#.######....##......#..#####.#.###..##.....#..#####.#.####.#...#....####.#.###.#..#.##.#...##.#.##..##...#...##...##.#.###.#.####..###..##....#.####...####...........#.#.#.#.##..##...#.#..#.###.....#.########.#.#....#..#.##.#.#..#..##..######.##.#.......#.#...##..#...##..##...###..##.#.#..##.#....###...#.##...#..######...#....######...#...##.#...##.###..###...........#.##..####.##...#.#..#....##.#.#.#...##...#.....##..#.###.###.#.#..##..##....##.#.#..##....#...###...#.###.##.##....##...#######.####.#..##..#...#.##.#######.#..#.#.#...#.#..##..####..#..#.##.########..##.#.....#.##..##.#.#..#........#
.##.##.#.#....###........#...##..###..###......###.###.##..##.##.#..########.###.....##...######......####.##.#.#.......###.#....###....#....#........#...##...###..#..#.###...#...###.##.#...###.#..####.#...##.####.#.#####..##..#.##.######..#.#.#..##.#.####.#.#..###..#.#.....###..#...#.###..#...#.#..##...#.##.##.#..#..#..#.#.....###..##......##...###....###.#.#.#...###.#.###.....#.#.##......#..#.###..#.#.###...##.###..#...#..###..#..####.####...####..#.######....##..######..#.##..#.#...#..#.##.###.#.....#...####..##.###.##...#..#.##.##.###..####.#.#####...#...#####...##..#.##....#####.#....##..##.###...###......#.##...#.#..#.#.#.##..###..####.####...###.########.#.####.#...##.#..##...........#.###..#.#.#.#...#.##.#.#..#.#..#..#..#..#..##.###.####.####..#.###.#...##.#.####...###.#.#.#.##.#..#.#...##.#.##.###.#.##.####..#.#.##.#####.###.###..#..###.#.#....#...#.#...#..####.#####.###.#...##...###....#..#...##.##..#.#....#.##.#.#.#......#.###..#......#....###.....#....#.....########....#...####.....#.##..####..##.....#.###.#..###..##..##..#..######.##..#.#...#.#.#.....##..#..#.##.#..#.##....#...###....###....###..#.....#..#....#######..#.####.##.##..#.##.#.#..#.#...##.#.#....##.##..##..##.##..######.#..#.#.#.#.###.#.#.#..#..#.####.##..##.###.##.#....####.#...###.#...#....#..##.#...#.###..#.##.##...#..###.#...#.#.##..#.#.#..#..###..#......###...#...##.#..#....#.##.#..#.##..#.#..#.#.#.##..#..##.##.#.##.#....#..##.##.##.#...######..#####...#.####.###.......##.#..#.##...##.#...##.##.#..#..#.#..###.##.#..#....#..#.##.#..#.###....########.###.####.#.###..#..######..######...#####.#.#.....#.####.##..########.###..###..##.#..#.##.#...##..##..##.#.#.####.#...#..##.##.#.#...#....###....##..##..##....#.#...#.#...#.####.#.#...#..#.####.##.#.##.###..#.#..####...#....####.##.#.#.##.#.##...#.##..#....###..#.##..#....#####.####.#.###.#.#.#.#.##..#.#.#####.#.###.##..##.##.##...#.#...##..#.##.#..###.##.#..#####....####..###...#####.#.....#.###.####.#####.#..####..#.#..##..##.#.#..##....#.
#..###.#.#...##...#..#..#......#.....#.#.#...#..##.#.#..##...##.#...##.#.##...###....#...#.#####.......####.##.####..#..........#........#....#.#....##..#....#######..#..##..####..#.##..###.#..#.....###......#.####..#...####..#.##....#.#..#.#..####...######.....#.##...#.##..#..#.##.#.###.#..#..##..###.##.##...####.....###..###....##..#..#.#####....#..#.#.#.#.###....#.###...###.###..##.#...###..#.#....#.#.#...#.#........#.####..#.###...#####..##......#...####..##.#.##.##.####.#####...#.##.###..#.###..##....##...##.#..#.#.#....######...#.##.###..###..###.#.#..#...######.#..#..#..#...#...#.#.###.##.##.....####.....#.#.###.####...###.######.####....##.#....###.#....###.#.#...###..##.#.#.#####.####.#...#.##.###.#.##..##.#..#...#..#...#####...#..#.#.###.......#..###.#....######.###.####.#...###..#..#.##..##..##..#.#..#.####.#.#..#..#.#..#..#.#####..#..##...##.##.#####.....#..#.#####.#.#.#.#.#.##..#.#...#.#..#.####.##...#.#..#.#.#.#.#....#.....#..#..#.#########..#..#.#..#.###.#...#........#####.#.#.##..##.#........#..###......#..#........###.###..#..#..#..#.#.###.#.#.###...####...###.##.#.#..########.########....#.#.##...#.###.###..#...##..##....#...#.#..#...#..#########.#.##.#.##..#.#...###.#..#...###.#########.##.#######.#...#...########.###.........###..#######.#.########.##.##.##.#.#.##.##.......######......#..#..#..#####.#...#.#....##.....###..#.##...######.#.#...##..##.##.#.#.#..#...#.#....###.#..##.#..#..#.#.#...##.....##.###..##..#..#.#.####...#..###..##..###....####....#.#.##.#.#....#.##.##.##..#..##.#######....##.#####.#.#..#..#...#.##..#.#...##..##..#...#..###...##.#...#.#.....###...##.##..#.#..........##...##..#.#..##.#.##.#.#..###.##..#..##....#..#.#.#.##.###............#.#..#.##..##.####..#.###.##.##..##..##.#..#.##.##....########.#.##..###....#.#####.#.##....#####..###..#...#.##.##.#.........#.##.#..##..##.......#....#.##.#..##..#.#.#.#....#..#...####.##....####..#.#..###.#...#..##.###.#.#....####.###.###.########..###.#..##..#..##....##..#..####.......#...#
.#..##....#.##..###.###...#..#..##..#.##..#..###....####.#...#.##.#..#....###..##...###.###.######.###.#.#.#....##......####.######.....##.##.####.#.#..##..#...#.##.....##.##.##.###.###...##....#....#.##..##..#######.....##.##.##..#...####.#..#.#.###.#..#.#..#.##..#..#...###.######....#.#..###.....#.#.#...#####...####..####.#####.#.#....#.#..##.###.###..#..#..###.###..####...##.###.#........###.#.##.#...#.####.#....##.#..####.##...#.#......##..#...#.#...#..####..#..##..##.#...#.#.##..####..#.###......#....#..#.#.##.##..######..####..#.#...#.#..##.#.....##...#.##...#..##.#.#..##...###.#..####...#.###...###.#..##.#....#.##..###.##..##.###.####..#.##..###.#..##.#..#...#...####...#...##.########....#......###......#.#######.#..####....#####.##.#.####....###.###....#.##..##.##..##.#.#....##.##....#..#####...##.###....#....###.#..............###..##....#.#...#..##.#...#.###.####.#...#.#..#...#........#........#...#....#.####.###.###.##..#...##.##.##.##..#.##.##.##.##...#######...##....##.####.#..##..#.....####..##.###.#.#.#..#######.#.##.#####.#..###########...#########...##.##....###.##.#.##...#.##.#..##.##.#..#####.##..####..###..#..##..#.#.##.#...###...#.###..#..###..#..#.....###..#.###..#....#.#.##.#..##..#.....###.###.#.#.##.#.#.#..#.#..#.....##.....##..##.##.##...##.######..###..#.#####.######..##...#.#.#.#...##.#..###.##.#..#####.....##.#.##...#####...#.##.####..##....#..#..####.#.#####.###.#######..#...##...#..#######.#.######.##...###...#.#....###....#..######...##..##.#..#####.#....#.###.#..##.....##...#...###.#....#..#.##..####.#..##..###.##.....###...........#####.##..###.##..#.######.....#.##.##....#....#..#..##...##.###..##.#.###......##..#...#...####.#.##.#..#.##.###..#....#.#.#.#.....#..#######.#####....###..####.....#.##.#..#..#.#.#.##...##...#.....#....####..#..####....####.####.....#.#...###.##..##.#....#.######.##.##...#.#...#..###.##.....#.##..##.###...#.....#.#.#####....##....#...#....#.#####.#.#......#.###..####..#..#.##.#.....###.#.#.###.###.##..#.
#..##....###....#..#.#...##.#.#.##...###.#...###..##..#....####...#...###..#####.##..#.#.####.#....#.....#.#..#....#.###.#...##...##.#..#.....##..#.#.#.#.####.#..##......#...#.#######.##.####.##.#.###.##..#.#..#..##.#####.#.##.#....#..###..#.####..######.#...#.#.#.##...####.#.##.#.##.#...#...##.##.#####...##.##.#.###....#.#.##...##..##...##....#..#.##.##.#..##....##...#..#######.#....##...#.#.#.#...#..###.#.#..#..#####.###..#######..#.#####.###.##.######..###.#.####...#.#...##.#.#.....#..###.###..#.#.#...##..####.#.##.#...#..#####..###.#.###.#..#.#.##.###...#.#..#..####.##..##..##.#.#######...#..####..##....##...###.###.#.##.#..#.#####..###.##.#.###.#.#.##.##....###...##.#..#.#..##..##...##.####..#...#..#...#.#.####.#...#...###...#.##.####..###.#.##..#..#...#.#....###.#.##.#..##..####...#####..###.#####.......#..##....##.##############.#.....##.##.##......####....#.#...##...##...####...########...#.###.##..#.......#.###.###.##.#.#..#.####..#..#.#.#...###.##.##....###..##.#..##.#..#####.#..#.##..#..#..###.#.##..#.##...#...#....#..#......#...#...##.#.....####...#........#..##..#.#..##........#.#.#..#.#..####.#...##....#.##.##.#.#.##.....##.######.#.#.#..###.##.#.#.#.#.####..#####.#.##.#####...#####.###.#####.###..#...#####.....#.####.##.#..##..##..#.#####.###..#########..#..#...#######...#.#...#..#.#.##.######..#.#.#.#....#.#.###.##..######..#.####...#.#.##.....##.##...##......###.###.#.###...##.#..#.##.###..###....####..###.###.#.######.#....###..#..#.#..###.#.###.###..#.#........##.##.####....#..#..##...#..#.#.....#.####.#.########.##.#.###.#.##....#.....#.##.#.#.#####.#...##....#####..#..##.###.#..###.#.#..####.#.#...###.##.#.###..##...##.#..#..#.#########.#.#...##....#..#....##.#...#...#...#..##...###..####..###...###..#......#.....##.##.####...#.##..###....#..###..###...##.###...###.###.#.####.#.###.#..#....##.#..##...##..####.###..#.......##..##.#.######.#....#.#.####..###..#.##..###.##.###..#.##..##.###...####.##.#.##..#......#.#.....#.....#.##.###.....#..##..#
#.#######..####..#..#..###.....#####.##....##...#..#####..#..#..#...#...#.##..###..##....###...##......###.##.###.###.##....##...####..#..###.####.#.###.##.#.#....##.#.###......#....####..#....##....#...##..#.###...#...###.##...#.##...##.#..##.#...###.###..#...#.#.##.#.#..#.###...###..#####.#.##..##..#....##...#.....#....#.##....#...#.#.#.....#.#.###....##.#.####.#..##.#.#...#.######.#.#.#..###.#...##.#..##...##..##.##...#.##.#.##....#.#.#.#.###.####..#.#..###....#......##.......#.....##..##........#...#.##.....####..#...#.#...#.######..##.##.##....#.##....#.#.#..####..###...#....#.########.#....######..##.#..##.....#......#####..#.#.#...#....#####...##..#.##..##.#.####.#..#.#..##.#.#.####....#.####..##..#.##..#..##.#....#.#.#####...##...##..##...####.##...#..##...##.##.###.#..#.#.....##...##.#..####.......##.#..#.##.##..###..#.#.#..##.##.#...##.#####...#.##..##.#.#..#.#..#.##....##.#...#..##.##..#.#....#...#...##.######..######..####..##..#......#####.......#####.......####...#.#....#.#.#.###...###.#..#.#####.###....##.#..#.###.##..###.#.....####.#######.#..###.##..##.##..###.#..#..#..#.##....#.......#..#.#.###.##..#.##.###.#.####.....#.####.#..#....#..#.##.##.#.###.##.##.#.#.##.#.#.##.....#......###.##.#####...#.........#.#......###.####.###.#.##...###.#.##.##.#.##.##......##.#####..###...#..##.#.#.#.#.#.#.#.......#.##.##.###.##....###.##.#...###...##..#.........#...#.#.#..#...####...#..#..#.###.######.##.#####....###.#..#..#.#.##...####.##.#..#.#..##.#.#..#...#.#.#####..#.#.###.###########.#.##....##....#####.##..######.#.#.##.#.....###..#..#..#.####......##.##..##.##.####.#..##.##.#..#.##....#.#.##..##...#.#....###.#..#.#....#..##..##..#####....##...##.....#.#.###....##..#.###..####.#..#..##..###.#.###.####..#.#.#...#..#.##.......##.#.#.######..##..####....##..#.#....##.###.#.#..###.###..###.#.....#..###.########.#...##.....##.#..#.#.#..##.#.#####...##.##....#.##.#....#.#..........##..#.###.#..##.####.#..#..#.####.#.....#.###.##.#.#....#..##..##...#..#.#.#..#.##
#..#.#.#####.##.##.#.#..##.##..#.#.#..#......#.##.....##.#.#.#...#..#.#.######.#..#.#...##.#...#.##....##.#.#..#.####.###.#..##.#....##.########..##.###.#.#.##...#....##..###.#...##.#####.####.##.####....#####.###.##..###.####.#.#.##.###.###.#####..######....#.#.###...###..#.#.#..#....#..####...##.#...###...#.#.##...##..###..##..#.#.#.#.#.###.#..##..##.##.##..#.#.###...#####.#..##.###.#.##..##....###.#.#..#.##..#..##...#..#..#..#.##.#.#.....#.##.#.#.#.###..#..####.###.#.#.###...###..##.##.##..#.##.#.###..#.###..#..#..#.###...#..##.######.#.###...##.#.#..#...#.##.#....######.#.##.##...##.##.##.##....###....##..#.#.#.#...#..#..###.#.##..#.#..#.......#.#.#.##...####.......#.###.....#.##..#.......####.#....#...#.####.#.#..#.###.##.####.#.##..#..#..###...#...#...####.###.###.#.#.#...##.#####.###...##.#...##.#.#####..###########..##.##.#.#.##.#######...#....#.#.##.####.#....#.##....##..#....#####.##.#...#..#.#.....#.#..#.#....#..##...#..##.###.....##.....##..#####.##...##..###...#...###.....#.#.#..####...#.##.##.....#..###..#.#.##.###.#..##.#...#.............#.#....#.#.###.#..####.#..#..#.##..#.##.##..##....#..###.#.##.##.##..###.##.#..#########.###...#.#.###..#..#.#.##...##.#.#..##..#....#.###..##..#.#.###..##..####..###..#..#..#..#..##.####....##.#...#..###...#......####..#......##......##.##...##..##..#.###...#.#....##..#..#.##.#..###.#...########.#.##..#......#.#..#.##..#....##..#..#..#.#.#.........#....#.......##.##.##..#..#..#...#..#######.#.#####....#.####..###..#.#...#..######..###.#.#####.#.#....##.#...#.##..####.##.#########......##.....#..##...#...#..#.##.#...#..#..#...###...#...#.#..#...##..###.#.##...###...##......###..###.#..#...##.###.....#.###.##...#..#..###.###.###.#...#..#.######.#####.##.#..##...#..###...#..##....#..##.##.###..#..#####..#..##..##..#####..##.#.#.#.####.##.#.##.#.####....#.##.#...#....#.###.#####.##.#######...#....###.##.#..#...#.##.#..##...##.##..#.###.#.##.....###...###.#...####...##.#.######.#.##.##.#..####.#######.####.#.#...#..##.#.#
#..####....#.##..#..###.##..##..###.#.##.##.....#...####..#..#.#.##....#......#.#.###..##.#.....#..#...###...#...#.#......#...#.###....##...##.##########...###.#.##.#####.##...##.##.#.####.#.##...##.#.....####.####.......##..#.....###...#....#...#.#..######.##..#.###.#.#...##.#..#.##.#.#....##.#.#....####....###..#.##.#.#.#.##..#..#..#...#.#.....#...#####...#.....#.#.#.#######..###..####.####...#..#.#..#..#.#..#.##..##.#.###...#.#.#........####.#.#..###.#.###.#..#..###...#...######..#.#####.#.##...#####.#.##########.#...##.##.#.#.#.#.#.###...#.#.####.###...##..##..#.#.##.....##...###..##.##.##...#..#...#...#...#........#..#.####..###..#..#..###..####.#.#####...#.##......#...#...#..#.#.#.#....####.#..###..##.###..###.#...#.###.######...#...#.#.#...###......##..###.#.##..##.#.#..####......###...##.....#.###.##...##..###.#....#.#.##...##...#.#####.######..##....###.####..##..###.....####.#..#....##...######....##.##.##.#.###.#....#..#...#.######..#....#.#.#........##...###.##.###.#..##.#..#..##....#.####....###..#.####..##.#...#....##.#.#.###.....#......##..##...#.#.#....##.##....########..#.##..##.#.#.#...#.##..###.#.##..##...#.###.#.#..#...##.#.###..##.#.##.#.#...#.###...#...#..#####..#......####.##.#.##.#.##..#...#.##.#.#.....#..##...####.#.###.#..#.#####.#.#.##.##..##.##..#..###.#...#.#.#...#.####....#.#.##...##.###.####.#.#########.......##...#.##..#.#.#..##..##..#.#..#########..#.#.###..#.#..#...#..##.#..####.#.####.##.##.#.#.###.###......#.##.#..#..#.........######..#.###..#..##..#...###.#.##.##...#...#..#..#.#.####.....#.#.##.#.####.###.###.##.###...#.####..###.....##....#..#.#.....##.#####..####...##....###.###.#...#...##.#.###...######.#..###...###..#...##.#..#.#..####.#...#....########...#.#.##...#.######.###....#...####..#......##..####..#...#...##.#.##.#...####..#.##...#.######..##.#..#.##.##.#.#.##.#.#...###.#.#......###..#...#...#.#.#.#####...#.###...#.#.#.#.#.##.#.###.##....#..#..#..#...##.#.#######.##.##.#...#####.#.#.#...##..##.##.##...#...#....######
##....###.##..##.......##..#..#.##.##.###..####.###.##.#.....###.#####.#.#.###...####.#.#.#.#.##.####...############.#####.#..#..###.#.#.#.#.#.##.###.#.##.#..#..#.###.....##.....#.#######.###.####.#.#.#...###.#.##...#..##.####..###..#.#.####..###...##.#####..###.###.##....#....#...####.###..#..##.#.#.....####....##..###.#####...#..#...#.#.#..#.##.##.##.#.####.###..#..###..##.#..#.#.######.#..#.#.####.#..#..#...#...######.#.##.##....###.#.####....#.#..#..###....####.....##.#.........####....#..###.##..#....#..##....##....#.#.#....#.#..#.##....####.#..##.#.##.....########...#.#..#.####.#.###.##..#.###..#.....#...#.#......#######...##..##.##.###..###.....#.#....#.###.#..#.##.#.#.#..#.#.#.#..##..#.#.#..##..#..#..###..#..#..#.###........###...#.##....#..###.#...#...##########..###.#.....#.#.#.#.#..##.####.#..#.##.##.##..###.....#.#.##.#..#..#...#....#..#..####..#.###...#.#######.###...#.##.###.#.#...###.###..##..#.####.##.##..#.####..##.###.#.##..######.##...##.##.#.####.#.###..#......###.#.#.####...#.#...##.#..##.##..#..##.##.#.#.#....###....##..#.##...#.######..#.##.#.#.#.#.###.....#.#.#..###....#.#.####.##..#..#....###.#.#.#.#.######..####...#.#.#.#...#########.#.###.####.......#.###.###........#.###..#..###.#...########..#..#..#..###.#..#......#.###.#.#.###..##..#......#.#.########.####.....#.###.#..#.##..##.#..#.##..#....####.##....##..##.###..#......#.#####..#..#..#####..##..#.#......#...#.#....#.#...#####..###.#.....#.#....#.###.##.##.#.##.##..##.####....#.#.##.###.#.#....##...#.#..###...#......##.#.##..#..#..##.##..#####...#....##.#....##.#.#...#..##.##..#.#...###.#...#.###....#.####.####.##.#...##...###.###.......##......#.#...#.#...##.#.#.#####.#.##.###.#..#....##...#.#..#...#.#.##..#.....####.#......##.##..###.......#...#..##.#.#.....#.#.###....#....#.#.##.##.###.####...###..#.#.#...####.#####..#...#.#....#.#......#.....##..##.#.##.......###...####..#.##.####.###...#.#...##..#...###.#..#.#.######..#.##..#...#.###....##..#.##...####..#..#.#..##......####.####.#
.#.##.#.#.#......#.#.#####.#.#####.#.######.....#.#....#.....#...#.#####.###...##.#..#.#.##..#.#....#.#.#...#..##...#.##.#.#...#.......##########.....##.#.#.##..#..#.#.##.#.###..##.....###.##.####.###..#...#..#.###....#..##....#......##.##..####.#.#.####.#....##.#.###...##.####.#...#.##..#.##..#.....#..##.#..###.#..#.##..#.#.########....##.##....#.#.#..#.#####.###.#.###...#.#.#.##.######.#..#.....##.##.#.......#.#.##........#...###.....#.#.#.##...###.##..#.##..#..#.#.#...#..##..###.#....##.######.##...###..#.#..#.####.###..##...#...#.#.###...#.##..#..###.###.#.###.##..##.#..##.#...#.##...#.##...##.#.....####..#.##..#.###.....##..#..#.#.#.#.##..#...#..#..##.##....##....#...###.##.#..#.###..##.##...####.#......##...#.####.#.#...#######.#...#.##.#..##..#...#.##..#.##.####..#....#.#.#..##.#........#....#..###.#...##.###....###.#...#.#.##.##...###...#.........#.###.#..#.#...###..#..##...#.######......#.##..#.#..#...##.#.##...##.###.....#..###.#.#...##.##.##.....#..#......##.###.#...###..#.#.##.##.#.#.##.###.###..#.#...#....#......#######....#.#.###....#.#..##..##.#.##.#...##.###.##..#......##.#.######.#..#.#.#.#.#.#####.#..##..##.##...#.....#.#.#.#.#.####..#.#.....#......#..#.###.####.....##...#........#..#..#.#.##..#..#......###.##.....#..#..##....##.##..#.#.###.##....#.#..#...###..#.#.#.##.#.#.#...###.#.###.#.......#.#.#.#...#######..##..####..#######.#...#..#.#..#############..##..#.#.....#..#..##..####.##..##...#.##.......#..#.#.#.##....#.....#########...##..###..####.###...###...#...#......#.###..###.#...##......#####...##.#.####..#.###..###..####...##.#####..#...####...........#.####.#.###..#.#..#.#.#.##.#.#.##..##..#.....#..##..#.#..#.....#.#....####..#.##.#....#..#####..#..##.###.####.###..###.#.##..#.#.#...##..#.##..##..#.####.#.######..#..#.#.#...#......##...#.#.#.#..##.####..#####.##.#####...#.#.##...##.#.##..#.###.##..##.##.......##...#.#.#.....#.##.#...#.##..#..##.####.#..##..#.....##..##.#.#.###.##..##.#..##.##..#..#####..###...###.....#..#...##..#.....#..#
..###..#####.#.#..#.#...#..###..##..#.#.##.###.#.#.....##.######..........###.#..#.#.#.#.#....######.#..#...#..#....##.####..##.##.####.###.##.#.####..###.#..#.##########.######....##.###.#.####...#...####.##..###.##.##.##...#.#.#..###..##.#.##.##....##.##.#..##.#..#.#.#.##....##..#.###.#..#.####......#.#..##.....#.##..####....#.#.#.##.##.#..#.#.##.####..###...#..##...#..###....#.#..###.##.........###.##.....#.....##.#...####....#....#..##.##.##.#.####.##..###.###..#....#...##.####..##.#####.....####..#...###..###.###..#####.#...#..##.#.#..##..##.##.#.###.##.#.##.#..#.##.#...#....#.##.#######..##.#..#.##.#.#..#.#....#..#........##.########.#...####.#..#####.#.##..#.#.####.##....##...#...#..#...###.#.#..####....##.#..#.#.#.##..##.###...#..####.#.....#..#..#...##..#..#...##..#...#..#........##.#.....#####....#..###.#....##..#####.#..###.....##..#...#..#...#.#.....##.....#.#....#.###...##.#...##.#.....#..#..#####.####..####..#..#..#.#.#..#.....#.#.####..######...##..##.###.##....#.#..###..#.#...#####..#.##.##.######.##.#.####.....#...#.##.##.##.##..#...#.#.##.####..##.##...#####.##...#.#.###....###..##.###.#.#.#......##.#..#....#..##.......##..##.##..#..#..##..##..#...##....###.######.##.##.#....#.###.#.#.#.##.#.#.##..#.#...#.#...#...##.##.#####.....##.#.######..####....###.##....##..#..#.###.#....#.#.#..##.#######.#.##..#..###.###.##.#......###.##.#.#..#......####...#.##...#.##.##...##..##.##..#..#..###.#..###...#####.#......##..#.##.#...###.###.#.##.#.....#######...#.#...#.#..#..#..####.......#......##...####..###....#.#.#.....#.##.###.....##.###.#.##.#.#.#.####...#.....###..####....##..###....#.....###.###.#.###...####.......###...##.#.#.....#######.#######...#.###.#.....#.#.#..##..#######.#..##..#.....##.#..#.#.#.....#....#....##..#.#..#..#........#.##..##.##..#.#..##..#...###.##.....#.#.##.###.#.##.#.##..#.##.#..###########.#.......###...###..####.#.......#.#..##.##...#..#.##.#..#.....#..#####..#.###.#.....###.##.#...####.#.##.#.##..###...###.#....##..#.....#....#
#####..##...#.......###.##....#....#..#..#.#.#####.##.#.##.##..#.##.###..#.###......##.#.#.###...#..#..#..##...##..##.####.###.#####...###..###.#..#.....##..#.#####.....#.####.##.###..#..##.#.##.#...#.###..##...#####...###...#...##...#...#.......#..#.#####..#.##.#.#.#...###.#....#...#.########.##....#..#..#.#.#.#.#.##.##......##.###.#....###.##..#..#..#..##.#..#.#....###..###.#.##.#.###..#.#..#...#....#.#..........#####.##.###.##.#.......##...#....######....##.#.#..#...##..##.#.###..#.#.###...##.#..#.#..#.#######.###.###.####.....#.##.##.....#.##...#.##.#..#.#....##....##.#..#..#..#.#...#..#....#..##.#..#.#.#..#.#...#....#..####..##.#...#....#.#..##.###...#...##.########.#.##.##.#...#....###.#.###.#....#.#.####.#.##.##...#.###....##...###......##...#...#...#.#..#.#.##.#..###..###...#####......###.#..##....#..#..#...#.##...###.......##.##.####.#...###.#..##..####.######..#.#...#..#...#..#####.#.#....#.####..######.#.##.####.....##...###..##.#.#.....###.##.#.#.##.#...#.#..##......##.#..#..##.##.#...#####...#.#.#.##......#..##.####....##.########...##..#.##.###.#.#..##..######.##...##.#..#..#..#..###.....####.##...####....##.#.#####.##.##.#.##.##..#.......##.#####..#.#.#...##.......#.##.##..#.######.#....###.#....####..##.#..###.###..#.##..#..#..##......##.##.#..####.#.#.#######.#....#...##.##.##..#####.....##....########....##.#..####.#....#.#.#####.#.#.#..####..####..#.#..###....#.#..##.....#.##.#..######..#..#...#####.##..#..#..#.##...##...####..#..##...#.#..#..##....#.#.#.###.##.#..#.#.#..#####..#.....#..####...#.......##..###...#.....###...######.#.#......#####.##..#.#...#..#...#.#####.#.#..#.####.##........#..#......###..#..#....#####..########.##.###.##.###....#.##...#.##.#####.####...#...#....#.###..#..#.##....###....#.#..####..#.###.##..###..###......####.#.###..##.###...###.#...#.#...####..########..#######......####...#####.#.##..#.#...#.....#..##.#...#....#..###.#..#.#.....##...##...#.#####..#####..#...######.#.....##..##...#####...#####.##.#.##....##.#.##.
#...#.###..#.###..###..####..##..####.#...#.#..##.......#.#######.###...#...####.###..#.......#.#......#..##.####..#......##.#......##.#....#.##.##.#..##.##.#..#..##.###.#.#...###..###..#.#..##.#..######..#.##.....##.#..#.##.#.###...##...#....###.......##...#..#..#####...#.##...##.#....#.####.##.####.###...#####.##.#.#.#.#.....#######.###.....#...#..#####.##.#......####..#.#.######..#...###...#.###.###.##.#.#####.#....####.#..##.####.#####.#.#.####.#....#####.####.....##.#.#.#.#..######.##.#.#.##.##..####.##..#####...###...#.###.####.#.#####....#.#.####.#..#...###..#.########.###..##..#.#..#.#...####...#.#..#..#...####.....#.##..##...#..#####.#..#####..##.###..#.####..........#.#.#.##.#....#.###.###...#.##.#...#.###.##..####.##.#..####.#..#...#.#.#..####...#.######.#.#.##..#.#.###.####.##.#..#.#..##.###.#.#.###....##.#...####.#.#..##..##.######.......#..####.##..#.#####.#...###.#.#...#.#.##..##..##....#....##....#.##.###...#.###.#...#......###...#.#.....#...#####...#..#####.####..#...###.##..#..#..##...#.#..###..#####.##.###.##.##.#.##.###.##.......#..###..#......##..##.##.###..#.#.##..#....####..#..#...#..#.#...#.##..####.###....##.##..#####....##......##...#.##..##.##.#####.#..##....#.#####.###.##.##..###.#.....####...#...######.#.####.##.###.####..#.#####.#....#.#.#.##.###.#..##.##.#.....##.#.#..###..###.##..#.#.#.##.##..#.#.##....#####.##.....#..###....#..#..#.#.....##..#...#.#.#....##..#..#..##.####.##..##.....#######..#######.#...#....##.#.#...####.##.#.#..#.#......#.###...####..##...#..###.......###.......#.##.#.#.####....#...#...##.#...#..##.#.##.###.#....##.#.#.#...#...###.###.#.####..#.....###.#.#...#...#...###..#..#..#...#...#...#.##..###.##.#####.##..#...#...##.####..#.#.##.#.##...###.#....##.##.....###.##......#.....#.#.###.#.##.#..##...#.#.###..#..#..#..###.###.#..##.#####...####..#...#.....##...#..#....##.###.#..#.#..####.###...#.######..##..#####..###.#..#.#.####..#..##....###.#.#####....###.#.###..#..###.###.###.##.#...###.##...##.....#####.#.##...#
.....###..#..#..###.#..#.##...#.##.#####...###...##...##.#.#...##.....#...###.##.#..#........#..#.###..##.#.#...###...####.#...#.#..#..####...#.##.####.##.#####.###.#.#.#...#.#..##.#.###...##..#..#..###.##..##....#.#..#.#...##.##..###.#.....##...#....#.#.#.####...##.###.#.##..##..##.###.#..#.....##.##..###.##....#..#..####.##.#.##.#####.####..###.####.##...#.##.##..#..#.####..##.####.##.#.##...#.#..#..#.###.##.#.###....#####.#.#.##.#.#.#...#####.#..#.##.####.#...#..#.##..##..#.#.##..####.##...#.##.#####.#..#.......#....#...##.#...#.##.#.###.#..#...##.###..###..#.##..##..#..##...#..#.#.##.#.#.#..#..##.##.###.#####..#......#..#....#.#.#.##.#..#...#...###.##.#..##.#.........##.##.....##.#..####.#####.#....###.###..#.##.####.###..###...#...#.##.##..#..#..##.#.###.######..##.####.##.#..#..#..#..##....#.##....#..#.##..#..##..#.###.###.....#.###...#########..##.####.#.##.###.#..#..#.#.#...##.#.##.#.#.##.#..##.#...#...#####.##.###....##.#######.#.....#.#.###..#.#.#..##.#...#..#..#..##....#.#..###.##.####.##..#.#..###########.......#######.##..######..##.##..#########..#.#..##.#....#.##.#.####...##.#.#...###.#.....#.#.#.#.#..#..###.##..#.....#...###..##..##.###.#.#..#..#.#..####.##.#.#.###.#..###..###....##...####....##..#..#####..####.##...###.#######.###..##...####..##.#.....####..##.##.###.###.##..##..#.#.#....###.###.#..#.##..##.#.##.###.#.###..#..##.....###.#..##....#####..#..#####.##..##..#####...#.##..###.##...#.#.....#.#.#.#..#..#####...#..##..###.##.#..####...#.#...##.#..#..#.###..##...#######..####.#.###.#...#.#.###.###...##.#.#.#.....##.##...###.###.##.#.#.###..#.#....##.##.#..###...#..####....#..####......###.#.####.#.#####..#.#.##.####.#.....##.####...#.####.###..#..###.#.####...##..#..#....#...#..#.#####..#.###.##..##.......######..#..##....#.....##.###.##.#.##...##..#...#.##..#.##..#...##...#.#.##..#.##.......#.#.####..#.#.###....###..#......###..####.###.#..##.#.##...##.#...##.##....#####..#..#..###.#..###..###.###...###.#.#....##....###.####.##.##..#.#.#.#.#
.#.###....#..#..#.##.#####..###...#.###.#####.....##.#.#.#####.#.#..##....#.#.###..##....####...#...###..#..#.###..####..########.##..#..#....#..#......#..###.#..#######..###.#.##.#..#..#.#.....###.#..#.#..###..#..#......#.####.##........#.##..#####...###..###..#.##...##.##.....#####..#.....#...##.####.#..#.#.##..#....#.#..#....#..#.#...#..##.#.#.....#.###..###..#.#.######.#.#..#####.#.#.#...#..#.#.#.#..#.##..#.#..##...#####.####......######.##...#.###.####.#..#####.#.##..##........###.#....#.#.#.##..##.###..#...#.####.#.#............#......##.###.#..#.#..#..###..#..#..######.##.#.##.###..#.#..##.#......####.#..###.#....####.#.####.########..#.###.#...#....##.#.###....##.#.#.#.##.#.##.#.##....#..####..#.#..#.###.###.#.####.###.##...#####..#.##...###..##.######...###.#.......#.#.###..####..#..####.#..#.#.#..#..##.##...#..#.###...##.#..........#..#..#...#...#.#.#...##......##.#...#......#.#..#####.###.##......###...#..##.##...####....##.....#.....###..##.#.##..######.#.###.#....##.###.#....##.###.##..##.#.#.#.....######.#.#.##..##.##..###.##....#...###.#.#.#..###.#.#...#.#.#.##.#.#.####.#.#.#.#.#####..#...#.##.#..#..###.###..#.####..###.##.#####..###.##.#...#.#.#..###.#..#...###.#####..###.#...#.....##.#..#....##...##..#..#.##..#...#.#.#....#.#.......#.#...##.#.#.####..###....#.#.##.#..###...####..##.#.#####.#.#.....####.#.#####.#####.#......#.#...#..#.##....#...#.##...#.#..###...#.#...#..........#...##.####.##.#.##..#.#.##.#######.#.###.....#######.#...#.#.##.#.#...##..#...##....#......#.#.......#.###.##.....##..##.##.##.#.#..####...##.#..##.####...####....#####.##.#.###..#....#.#.#####.##..#..##.##...#..##..#.##....###..#..#####...##.#####..........##.######..#..######.##....##.#..##.##.#.##.##.######..####.........#.#....#.##..##...##.#..#....#..#####.#..##.#.##.##.#....##########......#.#.##..##.##.....#.###.##..#..#...#.##...#.##.#..#........#.##.....####.#..#..####.##.#...#.###.##.#.###.#...#..#.######..#..####....####.#.....#..#####.....#.##...#.#....#.#....#..
#...#.#.#..#.#.#..##..#...####.###.....##.#.##...###...##.#.#....###..#..#.##..###....#..#.....#.#.#.###...#.#.#.........####..#.#...#..######.##.#.#.#......#...####..#.#.##.#..##.##..#.#.#.#.##.###.#..##..#.#..#.##.#.#.##.#.#...#.#.#..##..#...#....##.##...##.#######...##.##....######.#.##.......#.###.#.###.#..#.#.#..###...###..####.##.....###.#.#.#.##..##..####.#..###.#...#.##...#.#.#...#.#...#..##..#...##....###.......#....#....#...#...#.#........####........#.###.####..##....###..#.#....#..#.###..#.##.#.###...#.#.#.#.##..#...#.##..#.###..##..###.#.#.....#..#.#..##..#.##.####.#.#.#..###.#.#.........###.#...###....#...#.#.#....###.##...#..##.........##...#.##.##.#.##.###.#....####.#.#.#..#.#.#..##.#....##....#.#.###...##.##..#..#..##.#......##.#.#.#.####.#..##.##.#..##.#.##.#######...#.........###...#..#..###.###...####.#..##.#...###..#####...#..#.#.###..#.##.######.######......##..##..###...#..##.#..#...##..#..#####...#..#.##..#.#..##..###.......#..##......##.#.###.#.###.##.#.#.....##....#...#..#.##.##.###..####...#..#.##..#.#...#########...####.#.####.#..#...#.#..#.#..#.####..###..#..#.....##..#..##..##...#..###.#.#...#..#....#.#......#####.#..#..#.....#..###.##....###..#..#.#..#....#...#...#..#.##..#########.#...#..#.##.......#....#..##.##.##.#..###..####..######.#.#....##..#.#.#.#.....####.##.##...###..##...##...##..#.#.##.#....####......###...#.#..#......#...#.##..#...#####.#.#..#...##.#..#.###.#.##...##.#####.###..##....##..#######.###.#.##...####.##..#...##...####.#....#..#.##.#.#....#######.#.#...#.##.##.####...#.####.####..#...#.#.#....#.#.#....##.##.#..#.####.#.#.###.#.##...#..#....#####...#..######.#.##.#.#...#...###.....#.####..#.#..#.####..#.#.##.#.##..###..#.#.#.##..#.##..#.....#...##...#...###..###.#..########.###.#..##.#.#.####.#..##...#.#..#.#.##.##.###.#..####.####.#...##..##.##.#.#.##.#.##..#..#..#.###..##.#...#....#....#.####.#.#####.#.##.##.###..#..###.#..#.#.##...##.#.#.....##..##......###..#.#.##..##.#.##.##...###.#.#..####..#.##....###.#####
..###...#.##.##..##.##.#.##..###.###....#.#.####.##...#.#....#...#..####..##...#....######.#.#.##.##.######.###.##.####.##....#...###.######.##.##.####.#...##.#..#.......#.#..##..##..##..#..#.######.#.##.#...####...###.#.#...#.##.#..###..####.#..#..##.##..#.#####.##.#...#.####.....####..#.###....#..#####..#...######.#...##.#.#..#.#.#.#....#####.#...#.###.####.....##.##.###.....##..#.####...####.#.....###.#.......##.#.......#.#.##..#...#.#..#.#.##.##.###.##..##.##.#.......#####.##.....##.#...#.###.###.##.#..#.######......#####.###.#..#...##..####..#.##...####.#...#.#####.#####..##..##.##.#.#.#...#..##.#####....##.#.##.###..####..#....##.#####.####.######...#.####....###...#...##..#.#.##.#.###.#####...###......#.####.####...##.####.....##.##.#########.##.###.....#..#####.##..#...##......#.#........##.#.##..##########.####.###...###....##.#.##...#..#.....##.....##.#.##..#.##.##....###..#####.#...##.###..#.#.....###..#.#.#.#.##.##.###.......##....#..##.#......#..####..###.....#.....###.#.#.####..###.#####..#.##.#.#..#####.#.....#.#...##.#.#...#.....##.........##..#.#.####.######...##.##.####...###.#.#..#.##.#.#.##.##..#.###.##...#.######.###.#.#..#.#..#..#.###.##....##.##..#.#.#.#.##..####...##....#....#.#.#.#..#.####.#.#.#...#.###..#..##..#..###...##.##.#.#####.###...#.##...#.#.......#..#..#...#..###.###.#.##.#.#..#.#...##....##.##...#...####.....##..#....#.######.#..#.#..#.##.#...#.#..#..#####....#.#..#.##..##.#.#.###.#..#.###.#..##.#.#.#...#.......##.#.#..........#.#.#...#.####....#.###########.#.#.##....###.###..#.#..###....#..#######.#......###.#.#.#..###..##..#.#..#.....#..#.#.###........#.#.####.#......#.#.##.....#.#.##.#..###..#.##.#.#...###.#.##..##.#..#..#...#...#.##.#.#.#......##.####..###.##..########.##...###.##..###...#.#...##.#..#.#.###.####.##....##.#...####.#.##......##.##.#.#.#..#..##...#..##..#....#####..####..#.##.#.#..#.###...##...#...#######.#..###..#..##.###..#...#.....#......#.#.##.###.###.##.######.#.#.#...###..#..#..#......#..#.########...#####
.##...#..##..#####.##.#.#.#.##..#.#.#.#..#.#.###.##.#.#.##.####.#.....###..#...##..#.#.#......#####.##.#..#.##.#..#.##..#.#...#.#..##..####.#.....#..#.##.#...##..##.####..#.#.#.#.#.#....####.###.#.#.##..#.....######...#..#..#.#.#..#.###.##.#..#.##.#.#..#...##.#.#.#..#..##.###...##......##...#.#...###.##..#.........##.#######.###..##..##.###..#.##..##.#..###.##...###.##.##..####...##.###....#..###...#.......#...#.#..#.#.######..###.#########.###...#...####..#.##..#########.###.#.#.#....####....#.....####..#.###...####.#.#.....##..#.#..##..#....##....#....#.#.####.#.##.#.#.##..#.#.##.#...#.......#..###...#.#..##.#.#####.###....##.....##.######.....##..#...##.#..####.###..#.#.##..##..##..#...#.#########....#...#.#..#.#.#..#.##.#......#.#..#.#..###..###.##.#.#.#....##.###...###.#.....#...#.#.#........#.#.#.....#.#..#.####.##..###.#....#######...##...#.###.#..#.##.###.##.....##.#..#..##.##..#...##...##.#......##.....#...##.##.#..#....##.##.#..####..###..#.####..###...###.....#..###......#.##.####.....#...#...##..#.......#.###.....#.#...##.#..#.##.##.####.###.##...###.........#####...#.###.###..#..#..##.##..###..#.#.##..##..###.#.#....###.##.######.#...#.#######..#.##..##..##.##.#.##.#..#.##...#.##..#.#.#...#.#.##.##....#..#..#..##....##.....#####.#.##.#.###...##.#.####.##..####...##.#..#.#.#.##.##.######.#.....#..#.#.#....###..#.#..##..####.######.#...#.#####.###...#.#######.#.....####.#....##.#.#.###.....#.###..#.####.##.##.#.##.##.#..#.###.#.#...#.#####.#.##.#####.###.###.##.##.##.####..#....###.###.#....#....#...#....####.##.###.##.#.##......##...#..#..##.#..##..#.#####.###...##.####......#..#.###..#..#..#.#....##.#.##.#....#.#..####..##..########..#......####....#.#.#.###.#.#..#.#..###.##...##..#.....#...###.#..##.#..##.......##..##.......####.###.#.#.#.##....##.#.##.#######.##.#.#####....#..#.#..#####...#.###.#...###..#....#.#..##..###...######....##.#..#....#.#...##.......#........###.####.###.####.#.##.#.##.##.....##.....#.###..#..#.#.##.....##.#..#.#...##........
.#.##..#...##.#.#..##.#.#..##.#..#.#.##......####.#...#..##.###...#.#..#...##.#......#.#####.####.##.....##.#..#.###..##.##..#..#.#..#.#..#...#.##.##.##.....###...#...#..##...####...#.##.#...#.##.#####.###.##.#....######.#.#...##.##.#...#.#.....#.#.#.####.#.##.........#.#####.####.#....##...#.##..#..##..#....##....#...##...#..##...#.##..#.##.#.#.#######.#...#..##...#.##.###..###.#...#.##.##...#..##.#.#.##..##.#...###...#.#.#.##...#...##...##.#.#.####.#..#.####...#.#..#..#....##.#.#.#.##..#.#.##...#####..#####.#.###.####....#.#####..#.#####.#....#..##..#.##.##...###.#...#####...#.#.#.....#...###.#####..##.#.#...##....####...##...#.#.##.#.###.###.#.#####.####.##..#...###.##.#..###..###....#.#.#.##.#.....####.##.#........##.....#....##..#.##.....##..#..#.#####.#.#.###....#.##.....##.#...#.###.###.#.#.###..#..#.#..#..##.#..##...#..##.##.##.#..#.#.##...##.##...###.#.###.######.#..##....#...##.#.#..#.#..#####.#.....#.##.#.#....##...#.##...##..###....##.#.#.####.##.#.##.........#....#.##......#....###...#..#.##.#.###.#.#...#.#..#...#.#...#...#..###.#..###..#.##......#.###.###.###.#.#...#.###..##...#.##.###.#####.#.##.#..###.##.#####.##.#.#.##.#####..###.###.#...##...#...#.##.#.#####.#..####.#...#.#....#..######.#..#.#..#....##.##...#...#...#.#.####..###.#.#..#..##...#.....#.#.##.##.#.#....#.#.##..#..###.##...##..#.###.####..#...#..###.#.###..###.##.......######.###.#...#####.########..#....#...#.#.#..##.###.###....#..#.#..#.######..####.###..##.#..###..#....#..####...#.##.####.###....###..###.....#..#.#..#..#######..####.#.#.#..#..#....######.##..#.#.#####.##.##..###...#..##.##.....#..#..##..#######.#.#.....#.#.##.####...#...#.##..#....#.#.####...#..#....#.########..#.#...#...#.#.....###.#....#.#.####.#...##.............#..###.#.##.#####.#..#.##....###########..###.........#...#.#..##.##.....##..#.##.###.#..#..##.#..#...####..###########...#.....####.##.###..##....#.#.......#.#.#..##.#.######..#.#.#..#.##..#.###....#.###.##..#.###.##.##..#.#.#.###.#..#.##.#..###.#.#..###.#
..#...#.....#...#.##..######......##.#....##..#..#.##.#.#....##...#..####.#....#...#..##..###..##..#.##...#####.#.#...#####..###....#..#.#.##.....#....##.#.#..#..##.#..#..#..#.#.#.##....#.#.#....####...###....#####....###..##.#..##.#.####...##..##..#.#.###.###...#.#.#..#.##########.#...#####....##.##...#..####.#.##...#.....#..#..#..#.##..#.##..##..#.....##.#...###..#.#######.#....#.#.#.#...#.#...##..#..###.#.#..##.##..##.#..#..###..#.##.#..#....#.##..####.#..##..##.##.#.....#.#..........#......#.###.#.#.#.##.###..######.......##.##.##.#.#.##.####.##.##.#.#.##...##..#.#.##...##...###.####.##.##.....#.#.#.#.#.#####...####.##..######..#..#..#.#.##.##.#..#.#.###.####.#..#.#.#.##...#..#....#..#..###..##.#..#..#..#....#.....##.#..#..###.#.....######.....##...#.#..#..##..#.....#.#..#####..#....####...##...#..#.###.##...#.#........#.#.#.###.#...####.######.#.####....#.##..#####...#.###.#..#.....#..#.#.......#..####..#..#...#.##.###.#.#.####.##.###.####.###..#....####....###..##...##.##.....##..###....##......###....#...#.#....##..#.#####.#.##.#.##.###..#..####.#.######.##.#.#####.#.....##..#..##.##..##########.#######.#..##....#.#....#...#..######.#.######.###.#..#######.#..#######..###..#.#....#.#.#..#...#...#...#.##..##..#..#...##..#.##....#.####..#...###.#.#.#..#..###.###.##.####..#.########.##...#..#....#..#########....#.#..#..#.....#...##.......##.##.#..#.#.#.#.#....##.....#...##.#.#.......##.#.#..#..#.#...####.#..#..##...#...#####...###.#....#.##.###...#.#.#.###..#....#.##.###..#..##..#.#....#...#.#.#.##.....#..#....###..#.###..#...##.......#.##.#.....###.....#.#..#.#.#.....#.##.##.#..##..#..#######.###..###.####...##.###..###..#.#..#####.##.#..........#...##...###.##..#..##..#..#...#..####.###...#....##.####.#..#####...###.#...#####..#.#...##..###.#.##.#...#..#..#.##..##.##.#.#...##..#.#..#...#.###.###........####.#.#.##.###..#.#.######...#.##.####..#####..#...#.#.#.###...##.####...##....#####.#..#.#.###..##.##.#.....##.##.#.#..#.#.##..##.##...###.....#.#........#.#.
##..##...#.#..##..##.##...#.##..#.#.#..#..#..###...#..##.##..#.#..###..##.#.#.#.##...##..##.##...##...#....#..###....##....##....##.###.###..#.####.#.###.######.##.##.#.####..#.#..#...#.#.##.#.#..##.#.####.##..#.###..#.####..###.........#####.###########.#....#..#.#.#..##..##...#.###..#.#.#.####..#######.##...#...##.###.###..#..#....##########........####...#..##.#.#.#.....##..##.#..#...#.#.#.##.####.###..####...#...##.#..#.###.##...#...#..#...####.##..##...#.###.#.....##..#.####..###.####..#######.##.####..#..#...###.####.#..#...####.#...###...#...#...###.###..###.##.####...##.##########.##....##.....#.###..#.##.##.##.##.########..#####..#.#.###.####..##..#.#..#.#.##...#.#....########.#.##.##...######.##.....##.......#...#.####.#.##..##..##.#..#.#.#.#....#.#...###.##...#.#.##..###..####.#####..##....#.##..#.#..#...#.###..#.#.#####.##.######.#.#.##....###.##.#####..........#....#.#..###...#.#..#..#......###.#...#...#..#...#.#.######.#....#####.##...###..#.#.####.##.##..##.....###.......#.###.#.#..####.###....##.#.#.####.#...#.#..##.#..###..##..##.....#.#.##..#..#....#....#.#####.#.#.....##.###.##..####.###.##.##.#........#....##.##.#.#.#..##...####.###..##.#.#.....#...#####..####....#...###.#.#.#.##.#...#..#..###....#..#.#.##.#.#..###....##.....##.##.....###...#...#.######.....#.#...#.#.....##.....#.#....#.##.#..##...#.....####.#..#####....####..#....##.####...###..#.###.#.#.#.####.##.#..###.####.###..#..#..#.##.#######.##..#..#.##.#.#..#.#....##..##...#..##.###.#.#.#..#..##...##...#.#...#.#..#..#.#..##.##..#......##..#.#..##..####.##.#.###.###.##...##.#.##..#...#..##...#...#.......###..##.##.##..##..#..#.###..#....###.#####..#.#.#.######.#..##.##.#.#..#.####.#.#....#.#.###.#.##.#..#..#.######..#..##.##..#...##.###.#.##..##..#....#.#.###.#.###.......####.#..##.#......#.#######...#.###.###..#..#...######..###.#.##..#..#..##.###...#...#######.##..#.###.##..###.#..##.#........#.#.##..#.##.#.#.#.##.###.##.#...#.##.#...##.#.###..#.##..#######.#######.#...........#....##.
.###.#...#......#...##..###...#.#...###.....#..#####.#..#.###..#...#.....#.#....#.##.######.###.#.##.#####...####.#.###..#.#..#.##.######.#..########.##.#..####.#####..##.#.#.##...#..#.#.#...##.##.#.#...##.##...#####...##.#.##....###.###.#####.#....#..######.##.##.#...##....#.....##.##....#.#..###...#.##..###.#....##...#.#####.#.#...##..##...##..#..#.#.##.##..#.#####.##.#.#..#.#.###.##.....###.###....#....##.#...##.####..#.##...#.#.###...##.#....#.#.#.#...##..#.####.#.#####..#..#.#..#...#.#.#....##...####.####...###.#########.....####...##.##.#.#...##.....#.#.#..#.#.#.#......##..#......###.#.#..#######.#...###..##......##...###.#######..#########.#..##..##.###..#.##.###.#..####.##.##.#.###...###..##.##.#..##.###.#.#...#.......#.#.###...####.####.#....#.##...#.##.##.#.#.#####.#.##..#####..#########.###..##...#.##..#####...#..#.##.##..#..###..#...##.....###.##....#.#.#.....#.##.###...##.##....#.#.#..##.##.##..###.###..###.####....##.#..#.##.#.####.#.#####.#.#..#.....##.#.#.#.#.###..#......##.###.#.#.#.#.#....##.#.#.###..#.#.#.#.##.#.####.#...#..#....###.#..#..####...######.#...##...#.#....#.#..##..#...##.#.####.......##.#.###.#.######..####.#.#.###..#####.#....#..##...#..#.#.####.####.##.##.##.#.##.###....###.#......######.###........##....#...########..##.##...#.##.####..##....#...###.#...##.####..##.##.#..#....#...#.###########.###..#..#...##.........#.###.#.#.##...##.#.#.#.#....#.....#.##....#.##.#.####.##..#....#..######..#.#.#..#.#....##...#......####.#.##.#.##...#.#....###.....##.#..#.#...#####..##.##.##..##.#####.#.#.#..######.#......###..##.#####.........###.#.#...####.#.#...###...#.#.#.##.#.##.#.#.##.#.....#.#.#.#...#.#.##..######....#....#.#..##.#.##..#....#...#.#.#####..#.#..###..#...###..##.##.....#####....#####.###..#.....###...###.########..#..#.#.#..#####.###.###.##..######..#....###.......####..#.....#.###.#.##.#######..#.##.#.#..##..#...#.##..##.#..#...#..###.#.#...##..#..#.####.##.####.#....#...######...##.##....###...##.#..##..#.#.##.##.#..##.#####.
#...#.###.#..##......#........#..####...#.#.#....#.##.#.#.....###..##.#.#....#.#...#....#.#####.###...#.#.###.#.####...#.##.##.#.#....#.##.#...###.#.#....#.#.##.....#.##....####.#...######.##...###...##.##..#...###.##.#.##.#..#.#.####..#...##.####.#.###..##..#.#.#.##.#..#.....##.##..#.##.##.###....#.#.###.#.###...###....##.#.####.####.#..##..#..#.#.#.#.#..###..#####.###.#....##.###...#..##.....#.#.##...##...#.######..#........#.####.#.#.##.#####..#.#..#.....##.#...........##...##.#..#....#...#.###.#.#..#.#.#.##.#.#......####.#.##...##..#....#####.#.#...######.#...#.#.#.##.##.#.##.#...##..#........##.....##..#.##...####.#.#.##..##.#.##.#...#.#.##.##...##.##.###.##.....####.#...#..##.#####.#..#.#####.####..#.##.....#.#.#.#.######.......#.#.##.##.#..##.....##.#####...#.#...#.#.##..#..#...###..####.#...#..#.#.#.#####..#.##.#..##.###.##.#...###.#...#..##.........###.#..#..##...#....#.#...##..#.#.##.##.###.##.#.##........##..##..#..#..#####.#..##..#..#.....#..##..##...##..#.#.##.####.####.#.#...####.#....###.###.###.##.#.#..##..###......##..##.##.#..##..#.#####..#.##...##...####.###..........####.####.#.###.##.##.###.........####.##.#.#..#..##.....#######...###.###.....#.#.#...#....##..#........##..#.#####..#.##..###..###..#........###..###.#...##.######.#.###..#####..###.....#...#..#.....###.#.#.#.#.######...#.##.###..#....#.....#....##...##..#.#....##....#.#..#...#######.##.#..#.###..#....#..##.##.##.#..#.#..#..##...##...#.##.#..####........#..#..#.###.#####.#..###...#####...#.#.######..#.#....#.##.##...#..#.##..###......#..######...#..###....#.#..#.###.#.#.#...####.#......###.##.#...##..#.###.#####.....#...#.#.#.####.###.#.#..##.##......####...##.#....###.####.....##.#.#..#...###....#...##..##.#.####.#.#.#.##.#####.####.#...#..##..##.#####.##.###...#.##.##...####.#..####.#.####..#....#...#.#.#.####.#...###.....#...#.....####....##..##.........##.####..#....##...######..##.#####.##.#.#.#.##.#..###..##..###..###..##..#...##.##.###.#.#..###...#..#.#.#.#..#..###.####....##
.#..#...##...##.......###.##..##.#..###..##.#.#####.#...############..#.##..#.#.#.#.#.##.##.####...###.###..#..##.##.#..###.#....##.#.###...###.#.#..#...#..#.######...#..#..##....#####..##.##.##.#..##.##.#.##.###....######..#####.#######.####.#.###..##...#.##....##.#...##.#..#.#...##.####.....#.###..#.....#......#.#...##..##.##....##.#.#.....#.###.#...#..##.####.#.......#..#....#...#...#.##....##...##.####....#....###.#..#..#...##.###.#.....#####.#....#.##.#.######..#.##.#.#......##....#...#....#.######.##....#....##...#..#....#....#...###...##.######.#...#......#.###.####.#.#....#...###.#...##.####.######..##.#####.##..###...##.####.###..##...######.##..####.##.#.##..#.#..##....##...#.#.#####...#..#....#...#.######.....#.####..#####.....#.#####..##.#...#...#...####...##..####..#.###....###...#.#..####.####.##.#....#...##.###.#..#.#...#.#...#..##..#.....##....#..####.#.####...#.###..##...##.##.#.#.#####....##.##...#####...##.#.##.#.######....#..###..#..###.###.####.#.#.##.##.#.#.##.##.#..###.###.#.##...####...##..###.####..#..##.######.#.##...#.###.#.##..#..##.#######..##..#..####......########.#.#..######.##....#..##..##..#.####.##.##.#....##...#.#..##.#....##.#.#####..##.##.####..#..#.##....####.#..#.###......##.###.#..###.###.##.#..#############.##.###..#.#....##.#.#####.#..##.##.....#.#..#..#......##..#.#......#.......###..##.##.#..#.###......##.#....#..#.#...#....#.##.#....####..#.#####.#.###.#.#.##.#.#.##.##....#..##.##.#.#..#.####...#.#..#.####.......#.....###...#.##.#.#...#..###.######.###.###..###..#..#....#..###..#..###.##....#..........##.#.#.###.###......#..##...#....##.##.##.#.#..##...##..#.####...#.....##..#...###..#.###.#..#.#....#.####.##.###......###...##.....####...##..#.##..#.###########......#...###.##....#..#....##..#..#..#......##..#.......#...#..##.#.####.####..#####......#.###..####..###..#.##.#####.##...#####.#..#..#.##.#.####.#.###.#..##.##..#....#..##.###.#.##...#.##...#.##..###.###.....#.##.......#..#..#...#.###...#..#.#...###..#.#....###
##.#.##.##..##.##.#####.#####.#.#........##..#...##....##.##.###.#..#.###.##....#.#..#..######.##..#...######.##.###.####.#...####.##..#.##...####..##.#..##...#..###.#.##..#....####...###..##.##..###.#...#.#.#.#.#.#.##.#..###.....##.##...#..####..#.#....#.#....#....#.##..#.##.######..###.....###...#.#.#.#.##.....####.........#..##.##.#.####..#.##.#..#.####....##.....#.#.#.###...##.......#.#.#...##.....#.##..#.#####.##.###.#.#.#....#.#.####.....#.#####.#.#.##..##..#..##.#.##.######.###.#.####.###.###.##..##...#..#.#.#..#.##.#.#.#.#.#.#.###..#..####..##.#.#...###.#########.#....##.#..##..#..###.#.#..#..####.#.#.#.#..##.#.#.##.###..#.#.##..#..###.#..####.#.###.####.#####.###......######.#.##...#####..##....##..###..##.#####.##....###..####.########...#######.#.#....#.######.#.###.###.#.##.......#.##......##.#..#.#.##.#.#..#..#...#.##..#..#...#.##.#.##.#..#..##.#.##.#.##.##.#...#.##..#..##.##.......#.#.#.#.#.###.....###..######.#..####.#.....##..#.#.###..##...##.....#..#.#..#.#.#.#.##....##.#.....#.......######...#.#..#.###.##...####.###..##..###..##..#..#..#.##.##..#.########.#.##.#.#..########.#..#.####..###.#.#.#.#.#.##.##.####..#...##.##.##..###.#.#..#.#..#####..#####....##.###...#.#..##..##..#.#.##...#..##..##..#...#..#.####.####.###..#..#.#.##...##.###.##....#.##.#####.#.##.#.#.##.#.#.##.##..###..#..###.##..####.##..#.#.#####.###..###.##.##.#..#....#.#..#.#...#.##.....##..#.#...###.#.#..#..#.#.#...###.#.#.#.######.#.#####..#.##.#.#.###..#...#.##.####.#.#.##.##....##.#.#.#.....#....#..##.#.##.#....#...#....#..#.##.###..#.#.##........#.#.##..#...#.###..#..#.#.#...#######.###.####.#.#.###.##...#.####.#####...##..#.#.#.##.#.#..##..##....#.#.##...#...#.#.#.###.######....#.#.###.##.#..#....###.###....#..###......#.#.#.##.###.#.##...###.##..####.....###.#...###..#.#..#..###.......##.#..##..###.##.#..#.#..####.###..##.#.#.####.....#..#...#.#.##.###.#...#.#..#####.#..###...#...#..##..###....##.#####.##.....##.#..##......#.####.#.##....#.......#.#.#.#####..##.#.#.#.#..#..##
#...####...##.##..###.#.####.#.##...##..#.#.#..#..#.##..###.#....###.#....##...#.##.#...#.#.#...#...#.#.##.#.#.#...##..##.....###..#...##...#.##...#..####...#####.###.####.......##.###..####..#.....#.##...#...#..##...##.#.#.#..#....#####......##.#.###.......###.#...........###.###.#.#.##.#.#.#...#.#.#......#.#.##..##.......######.##.####.##..#...##.####.##.##.#####.##..##.#.....####.#..#####..##.#.######.#####...#...#.####......#.###.##..#.##...#.###.#....##.##..#.#..##.####.#.#####..#...#..#..###.#........########.#.#...#.....#...##......#.#.###....##...##.###....#..#.###......#.#####..#.#.#..##....###..#####.....###..#.#...#####....####.#.###...#.###.#...#.###..####..###.##.#######..##....###.#.#....####..#..#..####.......#....##.....##...#..###...#...#.#######..#.#.#..#...#####.##....#.#..#..#..#...##.#...#.#..#....#.####.###....###..#.##.##...#...##.###...#.#..#.#..#.####...###.#....#..###..#...##.##....#.#..#.#..##.##..########...#...#....###.###.#######.....#..#..###.....#...#.##.#.#####..###..#..#.#.#.###.#####.###########.#..#...##....###....#....#....#.####..##.....#.#...##....##..######....#..#..###.##...#..#..#.#.#....#.#...#.#.......#.#########.##.#..##.#...#...#..#..###.#..#.......##...###..##..#.###.#..##.###..####....#.##.#.#####....#.#.#..#####......#..#.#.....#..#..##.#.###.##..####..#...####...##.##..#.......##########..#....#######...#.....#.###..##..##..##..####.#.##.#..#..###..###..##..#.....#.##..##..###....#.###.##.###.....#........##..#..##.....#...#.###..#...##.##..##.#...##..###..........#.#.###.##.##.........##...#...#######.###.#####.####..#...####.####..#.######.####.##.###...#.#...##..##.#.##...#.###.#.......#####.#####.######..###.#######...#.#.#..#..##.######.......#..####.#...#.##.##.#....##.#....#..#....##..##....###..##.###.....#.##.##..#...##.#####.#####..##.#####.##.#..##.###.#.#.####..####.######.###.####.###....#.##.##..#.#..#..##.#.##.#######...##...#..###.#.###..##...##......##.#.#.###.#..#.#...##..###..#..#..#####...###....#
.#..#######.##.#####..#..##..#.....##.#..##.####..##.#..##.#..###..#.####.#####...###.###..#.######.#.###...####.#.##..###..##.#..#.##.##..#.....##.#....###...##.###.#..#...#.####.#.###.#.###..###..##....##...#####.####.####..#.##....###.###.##.#.##...##..##.#..#...##.#..#.#.#...######..##...####....#..###.#..#..###..#.#....##..#..####.#####...######..#...#........####.#..#...###.#.####..#.########.####.#####..#..##.#.#####.#.#.#.###..#..###...#.#.#.#.####.##.###....###.#..####...#.######.#.####.#.#.##.#....##...##...#.#...#.#....##..#..##.#.###..##..###.#.....#.#.####..#..####....#..##...###..#..#...###..#..##.#.####...#.##..#.#.#......#.#....####..##.##.#.#.##.#..#####.#####.#..#...#...###.####...#.#.#......###.####.##.##...###.#....#########.#.#####.#########.#.##.##..#.##....#..###.....##.#..###.##..#.#####.#.##.###...####.##.##...#####......#..#..#....#...##...######....#.###.##..#.##.##.##.#.#.######..##.#..#..#..##...#.....#.###.#.###....#..###..#.##..##.###.###..#.....##..#.....#.#.##..##.##.###.#..#.####....#.#..##.##..#..#...#.#.#.....####..#....##..###.##..#..##.###..#.##.#...###.#####....#.###..#.##..#...#.#.#..####...##.##.##.#.###..#....#..#..##...#...#....##..#..##.##.###.##.#.##.#.##..##...##.....###.##..#.#.#.......#..#..#..#.###.###....##.#...##.#..########.#..#...##...##...##...####.#..#####.#...#.##..####.####.#.#.####.##.##..#..####..#..#..###.#.####.###.#######...#.#.#..##.#.#.##.####.###.#...#..###.#.#.#####.##...#............##...#############.#...###.#..###.####.###.##.####....#####.#.###....##.##.##.#####..#.#....#.#...#.....#.#####......#.####.#...#....#.####.#.#..###.###.######..#.###.#.#######......##########..##.#.###...#.##.#.#.....#.##.#..#.#.####.#.....####..#..##..#..#.##.#.#.#...#.#.###....###..##..#....##...#.####.#..###.#...###..####...##.#####.##..##.###.##..##..#####.#...###.#.####.##.###......#.#.#...####.#.......##.#......#.......###.#..##.##...######.#..#####....##...###..#.#.###....#.#..#..#.###.#......#..#####.#..##.######
....#.##...#.##.###.###.###..#.###....#.#....###...#.######.###.#.###..#.###.#..##..#..###.#...#..#.#.#####..##..#.....#.#......##.....##..#.#.###...#..##..####.##.#.###.#####.....#.##..#.#..#..#...#...#..####.#.#..##.#..##..#########.#.#.####.####.....#...#..##.#.#.##..#.##..##.#.......#.##..##...#.#....#.#...#......#..#.##..#..#.#..#...#..##..#....###...#...####.#..####.#...###.##.###.#.#.#....###..#....##.###..#..#.#...#.####.#.##.....###...#.....#.#.#.##..#######..##..##..##.#.#####......######.#.##.##.##.####..#.##.###....#.#.#.#...###..#...#...###..#..#####..###.####.#.#...##.###.#...##..##.###...###.###..#.#.#...#...#.#.#.#...##..#.....#..#.####..#.#.###...#..####....#...#....#.#.#.#.###.#.#..#..##.#.#.#.##.###.#....#.#.#..#..##.##.##.##..###...###.#..#........###.##..##..##.#...##..###.###..#.##.###..#..#.###.##....#####....#..#..##.#.......#.####...#.#...##....##....#####.#.#.########.#.###.###..##.###.####..#..#..###....##.###.##...#..#..###..#...###.##............#######.#..##.#.....####.##..##.........#.#...###..#.#.###......#.##...####.###....##....#.#.#.#.#....#....#.###.....#.##.#...###....##..###.####.###....##.##.###.#...#.##..####.#.##########.##...#.###....#.#..###..#...###....##.####..#.####....#.#..####.#..#..#.###..##.###.#...##..#.#..#.##.#.#..##....###..#.#.#....###.####.##...###..#.#...##.....##..#..#.#...######.#####......#..#....####.#...#.#....##..#.#.##..#...#..##....#.#.##..###.##..#....##.#...##.##.##.###..##.#..####.##.#.#..####..##.###.....#.###..##.###..#.#....#..##.####.#####.#....####.#.#....##.##.#..##...#..###.#.......##.##.#####.##.#.#.###.#.##.###.####.#.#.##...#..####.....#..#.#...#.###....####.###.#..#..###.##.##...####.###.###.#..##..##.#....#.#.####.####.###.####....##..#....###..#.#....#....#.#...#.#.##..#.##......###..####.###.#####...##.###.##...##....#.#.......#..#.#######.#..###...#.....##...##..#.####.#..#.###........##..#..####.#..####...#..#.###.##..####.##.#....##.##.#.##...#..#.##.##.#...#...#.#..#####..##..#..##
...#####...##.###.#.#..#.....#.##....#...#.#.#.#.#..#.#.#.##.#.#.#...######.....###.#...####.####.###.###..###..####...#.####.#######.##.#..#.###.##..###.###.##....#...#..##..#########.#....#...##.......#.#######.#.#.#.#.#####..###..##.#.##.#.##...##.##.##.#....#....#..##.###..####...##.#####.....#...#.#..#####...##...##..##.......###.####.####...###...#.##.###...###....#.##..##...#..#..###.##.#...##....#.#.##..#.....#..#.##.##..#.#..#.#..##.#.....#..#..###.##..#...#.#..#.###.#.###..#.###..##..##..#.#..###..##.#..#..##.###.##.#...####.#..####.####...#.....#..#.......#..##.....##..#...#.###...#.##..##.#.####.##.##.###.###.#.#.####.#####.###.##.###..##..#..#..##...#.#.#.####.#.##..#.#######......#.#.#.##......#.#...#.##...##.##.##.#..#...#.#.#.####.#.#####..##.###....###.########.#..###....##..###.##.###....##.##.##.##...#....###......#...#.....##..#.#...#...###.#..#.#.#.#....#.#.........##.##...###..##.##.#.#..#.##.#########....#.#.#..#....##..##.###.##.#.#.##.######..#....#..#..##.###.#...##..#.##...####.#.##..#.##.##..##..#..###.###..##..#.#.#.###...#####...##...######...#.....#.....####.#.#.##.###.###.#..#..#..###.###.#.......####..#..#...##......####..#.######.#.##.##..##.##.#..##..#..#...#..#.#..####..........#.#.#..#.#########....###.##.#.#..##.#...#.#.#..##.#.....#.#....#..######.##.##.####..####.###.#...#.#.######.#.#.....#.....#...####.#...#.#..#..###.#.##..#...#.##.##.#.##.#..##..###.##..#.#.#.##...#...##..#..#.##..#..#.#.#..###..#..##.#..#..#.##.#.#.#.##..#.#.#.###..###...........##..##..##.####..##...#..##...###...#.###.....#......#####....##.##.#..##.#.##...##.#####..#.#.#.#..##.##.#.####..#######....#####..#.#.##.#...##....##..##...##..#####.#.#.##.######..#....#..#..#.......#####...#...#...#####.#.####......#.####...#.#.######.#.###..###.#...###.##......##....##..##.#...##.#..########..#...###.#.##...#....#.#....#####.....##..#.#...#...........##..#...###.#..##.##.###.....##.#....#...#..#.##.##.#...#....#####.##.#..#.#####.#.###.#.#.###..#..#..########
.#.####.###..####.#.#.#..##...###....#...#.#....##..#####.##.#####.#######.######..##.###.##...#...#...###..#####..#.#.###.###.#...#.#####.......##..#....######.#..####..#.##.#.##...#..##..###.######......#######.###.#.##.#.##.#...#..###.#....#........#.#.#.##.#....##.##.#..#..##..###.##.#.##.#....####....#..#.......#..###..#.....###..#.#....####.#.##.#####.###.#########.#.#....##...##.#.#.#.#..###.##.##..#.#.##...##..#.####...###.##........#.#.########.#.#.#####..#.##.#..###...#..#..#......##.###..##.##.#.####..###.##....##.....###.##..#...###.#...#..##...#....####.....###...##..###.#.##..###...#..##.#####....#..##..##.###..#.#####...###...##..#.#.#..###....#.#.#####.##.#.##..#..#.....#.##.##..#.##.#.#.######.##.#.#.#.#.#.#...#.##..#########...#.#.##..#.....#..##.#.####..#.###..#....#.#..#...#.#....##.#.....##.....####..######.#...#.####..####.#...#.#.##.##.....######.#.#.###.##..##.#..#.##.....####.#.#.###.###....#..###..####...#..###..###..#...#..##.#.#...##.##.#.#..###.####...#.##..##.##....#.##.###.#.#.#####.###.##....##....####.#..###.#.####.######.##.####..#.#..#.#..#.#......#.#.##..###.###...##.##........#..#...#..##....##.#.#.#..#..######..#..#.....##...###...#....#..#.#.##...##...##.#.##..#...##...##.##.#.##.#......#.#.##.#.##.####..#.#...######.#..#.#.#..###..#..#.##.##.##...##.#..#.#.#..###.####.#....#.#....####....###...#..#..#####...#..##...#####...##..#.##...#...##..#...#..####..#....###.#.####.###..##..##..##.##...##..#..#.#..##.###......#.######.###.#.#.#.......#.#.#..#..#####.......#..##.###.##.##.##.#####...#..####.###.##....#..#.###..##.#####.###.#.#.##.#.########...#..##.#....#...###...##.#...##....#.###.##.#.###.#..##.#....#...#########...#....#.#.#####.##.##..#.......#...#..#####.##..###.###.#.#.##...#.#.....##.##...##..#.#..#.#.####.#..#.###.#.##..###..#..##.###..##.#.###.......##...###.....##.###....###..#..#..#...#...#.#......#...####.###.##.###..##.####.#..##..#####..#.#.###.#....#.##...####.#..##..##..#####.##..####..#..##..#########.####
###.#..#....#.#..#.#.##.#..#.####..#...##...###.#...##..##.#..###.###.#..#####........#.#.#.####..#.##.#.####........###..#..#...####.##.#######...#..#.....##.#.######.#.##...##..#.#..#........#.##########..#.###.####.#........####....######.##.###.###.##.####.....##.....####......##..###.....#..###...####.###.#...##..###.#..#####.##....#..###..###.##.##.#..##.#....#....#.....#........#.##.##.#.#.##.##.#..##.###...##.####.###....###...#..........#.##.#.##.#.###..#...####...#....#.#..####.#..#..#.#...#.##.##.#.#.#...#.#...#..###.###....#...#.###....#.#.......###.##.##..#####.###.######.###.###.#.###.##.##.####.##..##..#....##.....###..##.#..#.###......##..#.##.###..####...#.##....#...#.##.#.#....####.#...#..#.#####.......##....##.#.#..###.#.#.....#....#.##########...####.#..###...#........#..#.########..#####.###..#.###.....####..##.#.##.##.###.#..#..#.#..##.##..##.....#..#..##.##..#...#.#......#...##.#.##.####.#.#....#....#...#..#..#...#..#..##..##....#.###..##.##.#....#..####.#####..##.#.####..#...##.##.#....##..#....####.##.##.#..###.#..###....##.##....#..#.#.####..#.###.##...#####...##...##..##..########.#.###.##...##.#.#.#.##...##.##..#.##..#.#.......#.#.#.##...####.#........#.#..##..#########..####.....#..#.#.##.#...#..#..#.#.###...##.#.#..##..#####.#..####.#####.#...#.#.#.#..##..##.....##.#.###........##.#..#...##..#..##....###..######.#..#.#...###.####.#..#.#..#..#.#.####...#.##.###.#####.##......###....#.##..#..#.########.#.#..#......####...###...#.###.#.......##.###......#.#.##.##...#...#..##.#..##.#.#......#.####.#.#.#######..#.##.##....##.#.##......#.####..#.###.#..####.###...#....#..#..#.###.####.#.##...##.###.#....###..##.##..####.##.#.##...#...###...##.##...#....###..#.####.#.#..#.....#.####.#....##...##..######..###.##..##.#...##......#...#....#..########..##.####.##.#...#.##..#.#.##..###.######.#.####.......#...##.##.####.###.#.....##...#.##.##.##.##.#...##..#..#.#####...#..#####..#..#.####....###..##.##..#.#...#..#..#.#..##...#.#.###.......##..#.#.#
.########..#.###...#.#####.#.###...#....##.####.#.#.#.###.#.##..#########.#.#..##..#..####.....####..#.###..#..##.#.#..#...##.##.###..####..##..##...#.####.......##...###..#.#.#..###..#.##..#..####..#.###.#...###....#.####.####.#......#.##.#####..#.#..###..##......#....#.###.#.#####....#.#.......#......##.###....#..#...#...###.#..####.###...###.###.##..#..#....###.#...##.#..#...#.#.........##.#.#....#.##.......####...##.##.##....#.#...#....####...#..#.#.#..####.##.#.........#.#....#.#..#.#####..#.########.#####...###..###..#...##.#..#.#..###.#...##..###...##########.#.......###.#..#...#.###..####.#..#####.####.##.#.###.#.#..#.....########.#.######.#.#..###.#.#.#.#.#.#.####.##..#..#.#.##.###.#.###......#..###.##..#..#.#...#.#.###..#.#..##..#....###.##......###......####..#.#....##.#.#.#.###.##...#.#...#.#.#......#.##.##.####...##.#..#...###.##..#.#####.#..##....##..#.####..##.###...#..#..###.###.#.####...#.###......#.#...#.##.####.#.##..#..##...##.#.##.####...#..#.#...#.#.##.#.##.####...##..#.#.###.###.##..##.####.###...###......#..#...#.#..#.##.##.##.#.#.#####.......######.#########...#.....#.#..#.#...#..#.........#..###.#.......#.##..#...#####.#.#.####.#####.#.#....#..#..#.#...#...#.##.#.#.#####.#####.#..####..####..#..##.##........##.....##..#.#.#.#..#...####.....##...#.#....#####..#..#.##########..##.####.##.##..####.##.####..#.###..#######.###.#....#.###..#...####...#....#..#..###..........#.#...##....#.##.###...##.#.#.....#..#.##.##..#.#.#.##..#.##.##.#...###.....#####.#######..#...##.#.####..##...#.##.#.##.#....###..##..#...#.#.#.##..##..##..#.###.##..###....#.##.#..###...####.#####.#..###########.....#..#..#####.....##.#..#..#..##..##...#######.##.#####.#...##.#..##..#.###.###..###.###.....#..#...#####.##..##.....########.###..##..##.#.#.##.....####.##..####..#.#.#...#.##.#..####.##..#..#.#.##.#.##.#####.####..######...#.#.#............#.####.##.####.#.###..#.######..##.##.#.#..#..#..##.#.....#.##.#.#...#.#..##..##...##.##......##.##.#.#.###..#.#.###.####.#.#
..##.#.#.###..##.##..#..#.#.######....#####.#..##...#...##.#...###.#..#.#..##....##########...##.##...###.#...#.#..##.##........##.##..#..#...####...##.#.##.#.#.#..#.##.#.#..###.#..###..#.##.##..###.....#....#.#.#####....###......###.#..####..#..#.....#..##.###..##.#.###...#...#####..#.#.#.#####.####..#...#.##.####..#.#.##.#..##.##.#######.###........#.##..##.#..####...##.#.###.##.#..#..###.#..###..#.#.....##..#.###....####..#...#.......#.##....###.##.###.#..#.##.##.###.###..##..#.#.#.#.##.#.#...#.#.#...####..####..#.....#.##.#.#.##.###.####.###.###..##.#...#.#.##.####.##.###..##.##..####....##.####.....##..#....##.#.##.######..#.....#...#..##..#..#..#...##.##.#...###.#.#.......##.####.#####.##.##.####....###.#####.....####.#########...#..#.##..##......#.#..#......#..####......#......###..###.#...#.###.###...##..#......##..#..#...#.#.###.#####..#####..##.#...#.###..####.#####.....#.#.#.###...#.######..#..##....#..######.#..##.#..##...#.#####.#.#....##...#.###.....###.#..##..##..#.##.######...##..##.##.#.#.##....###.#..#..#.#...#.#.......#.#.##..###..#.#..#.#...#.##..#.##..###..#.##.##..#.#.#.#...####..###.#.##.##....#..#..##...#.#####..######.......##.#..##.###...#.##########..##.#..##.....###.##...#.##.##.#.##.#....##..##....####.....###....#...#####.####.###...#...#...##.#...#...#...###..######...#......#......#.##..#.###.#...#..#....##..###...#...#..#..#.#.#..##.#....#..#.###....##.#.#..###...##.#####..#..#....#..##.......##.##.#####..###.##.#..#.##.......##.#..#.##..##...#..##...##.###..##.##..###.#.##.##.#..#......#....#.####.#......#.#...#.############.##.###.#.##..#.#.####.#...#..#####.####.##.###.#..#.###........#......#...##..##...##.##.....##....####.##..#....#.##....#.#.#.##..#.#.#.###....###.###.###.#.#...###..##.....###.###.#..#.#.#.#######..##..#.#....#.#.#.#......#.....#..#.##.##..##.##.#.###..#.#..###..####....#.##..#.#.#...#...##.#..##.##.#..#..#..#..##.#.##.##.#####.#.#.###.##..#..#.#...##.###.#..##....#..#.#...####...#...###...#.#.##....#.##.###..
###.####.##..#..#.#..###..#.#..#..####.......#.##.#.#.#.#..##.#.##.......#.....#...##...####.#####.#.##..###..#..##.##.###..#....##.########.####..##.##.#..####...#..####.#.##..###........###.#####..###...#......##.#..####....###....###.#.##..#####.###...###..###..#...###.#..#.###...#...##.###.####.#.....#.#...###.......##.#....##.#.###.#.###....#####.#.#...#.....#.#.##...#.##...#..#.###..#...#.###.....#.#..#########.###......####.####.#.##..#..#..###.#......###..#...###....#.#.##....#...##...#.#...###..##..###..#.#.#...##.#.##...#.#.#..#...##..##.#..####....#.#..###.##..#....#...###.##.##...#.#..#....##....#..###...###...##.###..##..###.##..##.#....#..........#.#.###..##...###.###.###..###..#.#####.#...###...#.#.#....#...##..#..#..##.#.##...#####..#####..##...############.#....##.#....####.#.#.#.....#..##.##.####.##.#.#.#..##.##.##.#.#######..##.####.##.#.####.######...#..#.#.###.#.###.##....##.##...#..###.#.....###.##.##.#.##.##..##.############.#.#....#..#.####..#...#..##.#.#.#......##..#.#...#..#.#.....#..##..#.####.##.#..##..####.#####.##..#.#....#.....##..##..##.#####.#...#..#.#.#..#..#....###...#.####.##...#.###.####...######.#....####..#....#####.#######...###...###.#.#....#.....#.##.#.#...#...####.#......#..##.#.###.##.#####..######.###...#.####.#.##.#.#....###.###.#..####....##..###..#...#.#.....#..######....#..###..#.##..##..#.#.#.#.##.......#.#...#..#....##.#####..##.#.#...#.#.##.####..#.##.#.#..###.###.##.###.....##.##.#..#.#.#.#.##.#..#.###..##..#.####..#.##.....#...#..#.#.#..#####..#######......###...#...###..#....####...#...##..#..####.#####.####..#.#.##.####..#...#.##.##.#..##.###.##.####.#.....#..#.###.###.#.#..##..###########.#....####.##.##.##...#..#.#...#..##...#...#.#.#..#.....#...#.#.###...##..#...#...####.#.#..###.#..#.##.#..#..###.#..###.#.##.#.#...#.#..#....####.##..#..#####.....#..#...#..#..##....#####..##.....#...#.######.##.#.##.#.#####.####..#........#.#.....###.#.#####.#.#....#.##..#.....#.#.#....#....###.....##...#......##.#######.###
####..#.###.#.###...#.#.#..#.###.#..#..#..#..####.##.#####.#.###..#...#..#...###.#...#..#.###.......##.###.#..###.....#.####.##.##.##...##....#..##...#.####..###..##..#..#.#.##..##.###.#..##.#..###.##.#....#.####...#.##.#.#.#####....#.#.#..#.####..#.....#####.###...##.##..##....#####..#.#...#....#.#.#######...#....#...##...#.##.##.###.#....#.....###..#.##.#.########.##.#.###.##..#....#.....###..###...#.####.#.#.##..#.#.##...#...#.#####....#..#.#.#..#..#########...#....##.##.#.###..####....##.......#..#.##....#.#..#.....#.......###..###.#.######..#.#...#.#.#####...#...##.#.####.##.#..##..######.##....###.##..###..#.###.#..###...#.####...##.##..#......##...####.#..#..#.##..#..#######..##..####....##..##.##.#..#..#.#..##..#.##..####..###.....#.#.##..#.#......#...##.###.##.#.##.###..##.#.###..#.####..##.......#..#..#..#.######.#.#...#..##..#...####.###....##..##.#.#####.#.#..##..#..####....#####....##..####.#...#.#######...###..##.###...#.#.#.#..##..#.#..#.....##..###.....##..#......#..#..#.#.#..##.##.##.##.###.#..#..##..##.#..##..##..#.#.....##.#.##......#.###.##.##.##.#.#..###.#..##.....####.#.###...#.#..##..#...###.#.##....###..###......#.#...###.##..#....#.#.#.##.#....####.#.##..#......##...##..#.#...#...###.####...##..##.#.##..#####...######.#...##.......#.###.#.#.####....###.#.#..#..#..###....###.#...........###.###.#.##.###.#.##.......#..#.#.##.....#.###.#..##...#######.###....#..##..#.##.###.#..#..#.....#...###..#....#...###..#..####..###.......##..##.#.#.#..###...#.#.....##......###.###..##.#..####..#..#.##.#....#...#.##.#..#..#..#..#....#....####.###.#.#.#...##.#..##.####..#...#.#..###.#....#.#.##.#####...#.#....#....##..#.#..#.######..#...#.###.##..#..##.##...###.#..####.##.#....##...#..#.#...#.####.#..##.#.##.#..#..##.#.#.#.###.##...##..#...###.#..#..##..###...#.#...###...#...##.#.###.##..#..#....#.#.###.####.##...#..###.......#.#.#..#.###......#..#..##.#.......#.#.#.##.#.#####.##.#.#.#####..##.##..###...#.#....#..###.#..#....##..###.##...##...#.##.#..#.##.#
#.#.#.###.#.##.#.#####.##..#.##.##.....##.###....##..#...#.####..#.####..##.#..#.####.##.#..#.##...#.#.##.###..##..###...#....##.#..###.#...#.#..##.###..#####..###..#.#.###.#..#...#.###....#.##.##...#..##.#.#..#.##.#.........#.....##.##.#..####.#...#.#.##.#.##.#.#.#..##.....##.#...#.#...####.#.#..#.##.#....##.##..#.....#.####..#...##.##.###.......#....##.#..#.#.#####.###.#.#.#..#..##..#.#....#...###.##....##.#..##...##..#..#..#..#..##..#.#.#.##..#...#.###..##..#.####.#.#.#..#..##.##.###...#.#.....##..#...#.####......##.#.#####.##..####.#.#..#.#.######....#.###.#...##.#..######..###..#.###..###.####...#.##..####.#.#..#...#.......##.#####.####..#..##..####.####.##.##..####..##.###..######.###..#.##..##.##..#.####......#.....##.##.####.##..##...#..#.###...##..#.#.#......#..###.#.#.##...#.#....#......##..####.#.#.#...##.##.###.#####.#....##.#...#.###.##..##..###.#.#..#.##.##.#.####..#...#......#.####.#.#..####.##.##.##..#...##....####..##..#.#.#.#..#...#....#.#..#.###.#....#..#.##.######.....##..##..#.##..##..#..#.##.###.######...##..##...#..#..#.###......##.....####.#...#......###.....##...##.#..#.#.##.##...##.###..########.#...#......#..#.#..####.#.#.#.....###.#...#.#..##.....#.#.#.#...#.#.#..##..#.##...##..#.#..######.#.#.#.###..#...#.#.##..#.#.####.###.######..#..###.###.##..####..###.###.#.#.###.#..####..##....##..###.####.#.#.#...###..#.#..###.#.....#...##..##.....###.#....##..##.#.#..#....##.####.#.#...#.....##.##..###.#..##.#.###.#....###.....#####.###.....####.####...##.####....#.##..##.#.#.#.#...##.####..#.#..#..#.#...#..#.###.#..##....##.#.##.##.#.......#.#.####.#...#.##..####.###.#...###.##...#.##...##..##..#.#.#.#.###.#.#..##..######..##...#......####.##....#.#.#.#.####.#...####.##.#..##.#.#....##.#.#....#.##.###..#..###.#.#.#..#.#.#...#.###...##...#.#..####....#.#..####..#...#.##.####....##.#.#...###....#.##.##.#.###.#.##.##..#..###.#..#.##.#.#.##.######.#.###.###.#....#.#.##..#...#.###.#..##.#..####..##....#...#.###...##...#..####....####.###.#...#....###
#.#..###..#..#.#####..##.#.#..#..#.##.#..####...#.###.#.#..#.###.#....#.##....##..#.##.#.#..##...####.###.#.####..##...#.#..##...#.######.#..##...#.#..#..#.#..##.###.#...#.#..##..#.#..#.############...#.###.......##.#.##.#..#.#.###....####.###.#..#.#..#.#...#....#..##.#.#.####..####.####.###.##....##....#.##.##.....#...###.#..#..###.#.##.#...###..####.#.#......###.#..#.####....#...###..#####.##...##.##.########.##.######.###.####.###..#.##...#..###.........#......#.#..###..######.##....#.#..#..###.......##..##..##...###.####..#....#...##.#..#########..#....#..#.#.#.#.#####.###.....#....##.#...#..##...#####......##...##.#...#.##.###.#.#......#.##....#....#.#.......###..#.#.#.##.##...####..##.###.##.###.#.###....#.###.##.#....#..###....#..###.....##.#.#....##.##.....##.#.##..#.##..##.##.###.###.#.#..#.###.##.##.###.#.###.#...#.#...###.###......##....###.#####.####..#..####...###.##..##.#.#.##.#.#.###.#.....#.##.###.#.#.#..#..##...#.#.######.###.###...#....###..##.#.#..##.#...###...#..#.#..#....##...##..##.#...###.#.##.###..#.....#.##.#...#.#..#.##..#.#.#.#.#......####.##..##.....#...##...##.#.#.##.#.##.#.##.###...#.#..###...###.#.###..#....##.#..#....##..#..####..###.##.#.#..#.#..##.#..###.#####.#..##.###...###.#.#.#.#..#.#.##.##.....#..#.#..####...##.......##.###...#...##...#####.####.#...###.....#..##.#.####.....####..#.###...###..####..#.#.#.#.####....#..#.######...###.#...##.###.#.#..#..########.....####..#.##..##.#..##.##....#.##.#.#.#.......#......##.##.##..#.#.#....#..##.#.#.#...##.##..##.##.##.#..##..#.#.##...#..###..#.#.##.####.#...###....#..##.#.##.#....###...#..##.#...#...#.#.##.##.#..#.##.##.#..#.##.##.#.##.#.#####.##..##....###.###.#..#.###..#..###...##.##.#..#.##.#..#..##.....##..##.#..#.#...######..#.##.........#..###...##...#.#.#..#.#...###...#....####......####.#...#..###.#.##..........#.#.##...##.#...###.#.###.#..###..#.####.#..#.###.#######..##.#.....#....#..#.#.##.##..###.#.#.#...##..###.#.#.##.#####.#.###.##...####..#...###..#.......#...#...#.#.#.
.#.#.#...###.#.#.#.#...###...#.#.#.#..#...#.....#..##.###...########..##.#.######......####..#..##.#..#..##...#.##.####.###..##.#.#.#.#....##.#...###.#.........###..#.......#.#.#####..##..#.#..#####..#.....#.##.#..##....#######.#..##.#..##...###.##.##########....###.#...##....##.#...#.##...###.#.#......#..##.##..##......##.#.##...#...#####.#......#.#.####.#.##.#.#..#.#.##.#...#..##.###.##...#.##.#..########..##.....##..#...#.#..#.#..#....##.#..#.##.#..#.##.####..#...#...#..##.#.#..###......######.......#..##.........#####.#...#.#.##...#.#.####..#.#....#.##...#.####..#..#..#######..#...#.....#######...#.##.######.####...##.#....#....####...#..###..#.#.#.#.##...####..##.####..#.#.#...#.#.....#....#...##.#.#..#.....#..#.##..#.#..####.####.#.#.###.#..###..##.##...###.#.#########........#....#.#.#.#..###.......#.###..##..##....###.#.#..#.###.###.###.#.#..#..####.##.#..###..##.######...##.#.#..###..#.##.#.#.#.##.#..#######...#..#.#.#..#.##.###..#.#.#.##.#.#####.#####...##.###..###.....#.#.#.#......##..###.#.##.##.#.##........#.#..###..#....#...#.#..##.#..#.#.#.#.#.#.#######...#.###..#.##..#.........##.###.....###.#.#.########..##...####...##.##..#..##..###.##.###.....####.#.#..#.#..#####.##..#...#.#.#.##.##...#.###.#..#.#.##.##......########.##.##....###.#.#..#.###.#..##..#.#..#.#..#....#...##....###.#..##..##...##..#.#.#.#.#....#...#.###...##...#.#.#.#.#....####.###......####..##.#.###.#..####..#...#.#.#...####.######..#####.#######..##..####..#..###..######.###.###.#.###.......#.####...#######..#..#..##...###...#.###...###.#.#..###.##..##.#.##.#.##..#...###....#...#.###..#..####.##..##...#.#...###.####..#..##...##..#.....##..##.##....#.#.##....#...#.#..#.###.#.....######.##.###.#.........##.###.#....###.####.###.#...#.#..#.##...##.#.##.#....#.....##.##...####..##.#######..#####........#.#.##.#...###..###..#.#.#.#.#.#..##..#.####.###.#..#...#.###.#..##...#..###.###...###..#.###.###..#.#.#..#..##.#####.#########.###.#...#..#.#...###..#.#.##..#######.#..#.#.#..#.#########.
######...#####..##..##....#.##....##.##..##..###.##.######.####.####.#..#...##.##.##........#..#..###.#.##...####.....##..#.###..##..#.##.###.#...##..##.#...#...#...#####.#.#.#..##.##...##..#####.#.##....#....#..##.#.##....###.#.#.#.....##.....##..#######....#.####.#..#.####....#....###..#...#.###.#.#.#..#.####.###.###.#####.#.###...#.#.##.##..#.###..#.#..#..#..#....#.##...##....##....#.#.#..#.....#.#.#.##..##.....###.#.#...#.##.##.###..........#.##..##.#.##.#..##....#.#..#....###....##.###..#####.###.###..##..#..#....###.#####...###.###.#..#....##.#..#...##.#.#...#.###.###..#..##..##..######.#..#..#.##.....#.#....###..###....#.....####......##..#######..#..##.##....##..#.#...##.####..#...###.###.###.#...#..##..###......###.#..##..#...#.##.#...#..#.##.####..###.....#..#...........#.##.####.##.#.##.####..###..##.#.##.#.#....##..#.###..#.#...#.....#....###...##....##..#.#.##....##...#.##..###..#....###....##..####....####....#.##...###.....##..##.####.#..##..######.#.#.###..####...#.#.#...#.######.#..#.....#..###.#...####....###.#..####.#.#.###.....#..######.#.#.#.###.##.#.##.....#..##.#####..#.##.##.##########....##...#.#...##.#.##.#..#.#.#.#.#.....#.#...####.#..#..###..##..##.....#.#..#...####..##..#.##.#..##......####.#...######.###......###.###.###.#...##.##...#..#..#.##.#...#....#####.#.#..#.####...#..##.##..##.##.#....#.#.#...##..##..###.##.....#.##...#.#.###.##..#...#.#.#.....#.####....##.##.##..#.#.##.#.###.#..#.#.###.##.#####.##.###.###.##.##.####.....###..##..#####....#.###..##..###.#####.#.###.###..#.##.###.##.....#.....#####......##.########.#.##.#....##.#..#..#.###..###.##..###.#.#.###.#.####..###...####.#.#...##...#.#...#..#....#.##.....#....##.#.#.....###.###....##...###.#.......#.#.#.##...#..##.#..#..##.##.##..##..##.##.....##..#..#####.#..##.#####.#..#....###....#.##...##.##.#..#.#....#.###...#.###.#..##.##..#..###.##.##.######..#####.#....###..#...#...#.#..##.######.#....#.#.###...#.#.#..######.#.##.#..#.#..#..#.#.##..#.#...###..#####...#...###.#....
#...##.##.#.###.##...####..##..####....#.#.....#...##.....#.#...##...#..#.#.####.##.#####.#.#.#.....#.#....#####.###....#..##.###..##.#..#....#.###..##.#..###.#...##.#...#..###.##.#..#.#...#.##....###..##..#.##..##..###.###..#...##...#.##...##.###.#....#.#.#.#..##.###...###.#..#..#...#.#.#.....#....#..#..##.#...#.##.#.##.#.#.#####..#...#.######...#.###.....###..##.###..#.#..#.#.#.#..####..######...#....##.###.#.##.##..##.##.#......##..####......##.#####..##.##.#..#.....##....#..##...#.#.#....#....##..######.#..###...#####.#.###.###..##.#..#####...###..#.#####....#.....#..###..#.#####..#####.#.##.#.###..#.####.##.#...##..##.#..####.#....##.##.####.#..###.#.#.#...###..#.##.#..##.###..#..#..#..#.#...##.####.#.#..##.#..#.#...##.##..#...#.#.##.#.##.###....##..##..#....##..#.###.##..#.......###.#..##.#..##.#####.#.#...###.#..#........##.####.#....##.#...#.##..#..##.##..##.##.#.##.#..####..#.#.#.#...##.#..#.#..#.#..#.##...##.##.###....#.#....#..#.###.##.####..##.##....#.#...##.##.....##.####.###.#.....##.#..##.##.#.######.#.#.####.##.#..#.#..#.##...##.##.#..###.#.##.##..##.#.##.#.########...#..####.#.##.#.######...#..#.......####.#..#...##.##..##.##..#######....#.#.#.#.........#...#..####..#.....##..####.##.#.#...###.#.....#.#..####....##.##.......####..#...#.#.#...#.#..###......#..#..####.##.###.###....#..##.#######.#....####.#...###.##.#.###.##.#..##...#.#.###.#.###...##.#..#.#.#....#..#.###.#.#.##....#..#......##.....##.#.##...#......#....##..#.##...#....#.....#.####.###.##..#...##...##..#.......##...##.#.###.#..##...####..##....###########...#...###.#.#.##.##.####...#...#.##.###.########.##..#.####.###...####.#.#.#.#..#..##.....####..###..#.#####....#..###.#.##.....#.###....##..###.#..###.##...#.....#...##...#.###.#.##.#..##..#.#..##.#..#.###..#########.#######...#.##.....#....##.#..#.#....##.##.#...#.#....##..#..#...#..##..###.####.....#..###.######....#.##.###.#..###.#.###..#....#....##..#..#...#.##.###.##..#...##.....#####.##.#.#...##.####.###.......#.##.##.#..#.###
#####..######...###.####.##...#.###.#...##.##.##.#...#.#..##.####.#..###..####..#..#.#.#####.#.#...........#.###..####.###.#.#.##...##.##.#####.##.##..#.#####....#########.#..#....##..##.###.###.#.....####.##.###..##..##.......#.#.#...##....#.###...#####..#.#..###...##.#.###....#######.#....##...##.##.##.#....####..##.##..###.#.######.##.####....##..###...####.##.#.#...###..#...##.######.####..##.####..#.#.###..##.###.#.####.#..##..####..#.#..##...#...#######...#.#.##..##..##.#......#.##.#...###...###...#..##..###.#..####..#...##...#.#...#.#...#.......##...#.####...#.##...####...#..#...#.####.##......#....#.#..###.##.##..#..#......########..#####...####.#......##...#.#####.#.#...#....#......##.#..#.##.#..####...######.#.....#..####.##.####..####..#....####.#...#####..##....###.###.##....###..#.#..###..#.#.#.##..##.#.#.#.....##..#.#..######.#######....######.#..#.#..##..#.#..#.#..#......#..##...##......#...#..###.#.#.##...#.######.#######.##...####.##.#..###...##..######.#.##.##..###...##....###.##...#.#...#.##.#.#####.##.###.###.#.##.#.#..##.#.....##.#....###.#####.##.##.....##..##.#.#...#.###..........###.###.##..###..#...##.#.####..#...####..##..#.###..#.###.#....##...#...##...#.#...###.#.##.###.#....###..#......#..##..##.#.##.###.....#..##..#..#.##...#..#.##.#.##..#..#.#.#.###.........#..##...##....##.##.##.####....#..#####.....#.#..#...#.##.#######.#.##...##...#..#..##.######.#.#.#.###.#.##..#######.#....###.#####...#.###....#.##..##..####...#.#..###.####.##.###..##...##.##.#.#####......#.......###.#####...##.#...#....#.####.#..#.###...#..###...#.#####....####....#.####..##...#####.########.#......#.#.###.##.#.######.#...##..###..#.#####.......##.#####.....#.##.#.###...#.#####....###.##..#.#####.######.##.###.#.#.#...##...#####.....##.#...#..#.#..#.#...###......##.....#........#.##.##..#..###.##..#.#..##....####....##.#...##.....#.##.##...#.##..######.##.#####.#..##.#..#..#.....####...##..##.#.###..##....#.###...##...#....##...#.##..##.#####.#######...###.###.##
..#.#..###...#.....#..#...######...#.#..##.#.##.####.##..##...###.#.##..###..#.###.#.##.#.#..#.#.#...###.#####..#.###.#####...##.#..##....####.##.##.#.###.###..##.######..###.####.#.##.##..#..###....#.....##.####...#.##.#.####..#.###....####.##..##.#####.....##.#.####..#.#.####..###.#.###...######.###.#..##...#.#.####..###..#######..#......#.....##.##.##.##..#.#..###.#.#..#..####....###.#.#.##.##...#....#####....#..#.#.##..#.#.#.##...##..#.#...#..........###...#...##...#.####.###..###.##..#.###.#..##....#.#..##.###.#.##....#....#.##.#.#.##.#..##...#...#...#.###.....####...##..###..##.###.##...#...###.####....####..###.#######.####..#####..#..###.###...##...###.#.###..#.###.#...#...#..#.###.#####..#..########.####.##...#..#.#..###..####......#..###........#.##.....#####..#..#..##..##.#.#.#.#####.##.####..#.#.##...#.#..#.###..#.###..#...####.###..#.....#.#..#...##.#...###..##..#..#.##.###..##....##.#...#.#.#...##.#...####..#.##.#.#..####.##...##.....#.#.########..##.#..####.###.###.###...##.##..###.#..#..#...#...#...#.#.#.####.#####.##.#.###.....##.#####.#.#####.###.#.#####.####..#..#..#.#...########..##..##....#...##.#.....#..#.###.###...##...##.##...#...#.#.....#..#...#.#####....##.#.##.#####.#####....#.#####...#.###.......#.##.##.##.#.##.##...#...#..###.#........###.#.###..#####..#.....##...#.#...#.#.#....###..##...#######..#.#.#..#.######...###.##..##..#.##.....#...#.....###.##.#.#..##...#.###...##...####...##...#.###..##.##...#..#.#..#.......##.....#.#.##...#.##..##..#####.##.######..#.#.#.#.###....##..####..########..####....#.#.##.#.........#.##..#..###.#.#.#..###.#######...##......#..#.###..##.#.#...##.#####...##..##.##.#...##.###...####.....#.#....#.###.###..#.##.##..##...##.#..##.##.#....###..#..##.#.###...######.#####.#.##.#.###.##..####.##.###..##.##..####.###.###.#..#....#..#####..#..##.##..#...#..#.#.##..#.##..###.#..###.....###...#.###..##..##..#.#..###....####..#.#.#...#..####.#.###.#....#.###.#.##..####..#.###.#....##...####.#.##.##...#.#.#.##..#.....
#.###.##.###.##.###.#.##..#.#......###.#.#.......#.#######.##..#.#..#.#.#.##..#.##..#####.##..#..#...##.##.#######..##.####.#..###.##..#...#..#..###.....####...#.##..#.#.###.#.....###.##.#.###.###.#...#..#...##..#.#..##.....##..#.#...#.##..#...##..#.#..##..##..##..#.#..###..###.#.#.###.#.....#....#.###.##.#.#######.##.#####..#..##.#...#.##.#..##.##.###.....##.#..###......##.##..##.#...#..#.######.....#..##.###...###..#...###.##.##...#####..##..##....##..##.#..#.###.#..#.##...####.###..#.##..#...##.##..#.##.#...#...##.##.#.##....#..#.#..##.##.##.#...######.#.###.#.#.#.#...######..##..#...#...######......#.####....##.#.#.##..#....#..#.#.###.#.#..###.....###.##....##.#...##.#..###.#.#....#..##...##...#..#.........##..#####....##.#.......#...#.###..##.###.##....#...#####.#####....#.#.....####...#.....#.#.#.####.#...#.#.#.##.##.#####.##...#.###.######.#.##..#..##.#..###....###.##.###....####..#..#..#.#.....###.#..#.##.######.#.##..###.#.#......#.##..#...#.#######...#.#..##.....###......##.#...#.####....##...###.#.#...#.#####..#.#..##.##..######....####..#.#.#.#.##.###..#####..#.#.##....#..##.#.#..####.#..#..#.##..#........#.#..#.##.###..#.#.##.##.##.#.#..#....#..#.#.##.####.#.#...#..####.######.#...#.#.#.##...#....#.#....##....###.#...#..##..####.....#.##..#.#..#........#######.#..###...##.#..##..#.###.#..#.#..##.##..#...#.#..#######.##..#.....##.#######.####....##.#.#####..##...#..#.###.#...#..#..#..###...#.#.###....##.#...#...#.####.#...#..#...#.#####...##...#.#.#..#.#..##....##....####.##.##.####.........##..#.#.##.#.#..#..#....##...#.#..####.##.#...#.....##......##..#.#.##...###..#...#...####....##.#.#.#.#......#######..#..####...##.####.#.##...#.##.#..###...##...###..#..#..#.#....##.##.##.#.####....#.#.#...####.##.#...###.##..#...##....#..#...#..#.#.#####.###.####...####.#..#.##.##...#...#.#####.#..#..##.#.#...##.#.###..#.#.##.##..#.#..#....#..#.####.#..###.#..####..#.#.#.##..####..#####...#..#.#.....#..#####.#.....##...#.#.#....#.##.#.#..#...#....##.##.##.###...##.
#.#.#.##..#.#...#.###....#.#.#..#.#####.....#.#.####....##.#####.#.#..#..##...#.##.#....##...#.##..####...##.#.##.#..#..#.##.##...#.##...#.....###.###.#####.##.#.###.###..#.#.....####..##.....#....####..####.#.#.#..######..#..##.#####.##.###....#.#.######..#.#.#.....#.##.......###.#.###..####.#.....#...#.#..#####..###.#.#.###....###.###.###.#.##..#.#..##......#.#..##.##..#...######.####.#.#.#.###.#.#...#.#...##.####.###.##.##..##.####.#....#.##...#...###....#.##...#..###...##.####..#.####.###.#######.##...#......####.#.#.###.#.##..#.##.###...........#.#.#..#.#.##....#..#.#..#..#...##...##..##.....##..###.#.....####.#.####.##.#.#.....##...#.#.#..##..#....##.###..#.###..##...#.#.#...##.#.##..##.....#.####..####.#.#.......##.#..###.........#.###.#....##.##.####..#....#####.....#.#..#..#.##.#.#.#..#....##.#.#.##.#.##.#..#.#.#.......###.#.##..##.##.#.##....##.##.##.###.#.###.#.##.##...##.##.#..#.#######.#.#.####..####.#########.###.#.#...#.....##.##.##.#.###....#.###..###..#..#..###.#.###.#.###.##.......##....#.##.##...#.......#...#.#.#...###.#####..###.#.#.....###.#..#.##..######.#.#....####...###...###.###.####..#######.#..####.......###...##.##..##.#.##.#.###...#....##.#..#..#...#.##..#.#...#.###.####....#...#.#.....#..##.####.##.##..#.##...#####.####.#####.#...#.##..#...#....#..#..###..#...###.###.#..##..####.####.##.###.#...#.#.##..#.###.##.#..####.....#.####.#...#.####.##..###..##.###.###.#..###.##.##.##########.......#########.#.#.....####..#...##....##...#.#..#..#.#.##..#####..#.#.###.#.#..####.##..#######.#..##.###..#.###.#.#.##.##...#..#.......#.#.#..##.#..##.##......###.###.#.#...##..##..##.######.###...#..###.##..#.##..#.##....#..#.#....###...#...#.##.####.#..#...###.#.##.#.#.##..#..#...###..#.#.########...######....##.###.###....#..#..#.........##.....##.....##..#.###..#...###..##..#..##.##.....#.#...#.##.#..#..#.....#.#.##..########.##..#.###..####...#.#.#...#...#######..#.#####...#.#......#...###.#..##..#.......#..#.#..#..#..#..#.#.#..#.#.#####....#...#...
###...#.#..##.##..###.#..#..##...####...#...##.#...#.#..##.###...#...##..##...##..#..##.#...#.##.###...###..#...##.#...##.##..#####.#.#######..#.#.###...##...#.######..#.#....#..#...#..####.......##.###.....##..##.#...#.#...#...#.#.#.#.#..#.#..#...###.###..#..##.##########.#.#.##.#..##.....#......#.#.#.###.#.#...##.#..#..#.##.#.#.#.#.####.##.###.#####.#.####.#.###....######.##...#..##.#.##..#...##.###.....#.###...##...#..#..##.#.###......##.#.#####..##..##....###..#.#####....#.#.#######...##...####....##..###....#..#...##.#.....###....#.#.##...#....#...#...#####..#######.###..#..##.#.##.#.###......#.####..##..##..##....#...#.#.#...##..###.###.#.#...#####...###.#.....#..#.#.#....##..#######...#...######....#.##..##..#.###....###.#.#..##.##.#...#######...##.#.....##.....#...#.###.#...##.#...##..#.#...#.##...#.........###....#.##.#..#.####..##..##.###........###..##.#....#.#.###...#.##.#...#.#..###.....#..##.#...##.##.##..####.#.##...#..##..#####.#..#####...#...#...#.#..#...#..###..#....#...........#.###..#.#...##...##....#####.#..##.##....#.#..#.####.##..##......#.#...##..#...#.#.##..######.#.#...#...#...###..##.##.#..##.##.#.#...##.##.###.......#...#..#.#.#.##.###.######.#.#.##.#..###........#..###.###.#..#.###.##............#.##...#####.#####..###.##..####.##.#..#.#..#.#..#..#..####..##.#.#.#####...##.###....#..#.#.#..#.#...#.###.....########..##...#.##.#.#.###..##.#.#....#.#..#..#.#.#.##.##...##.#####..########.#####.#...#...##.###.#.##....##..#.########.#.##...#.#..##.##.#..###..#..#.........##.#.....#..####..####..#..#######..#..#.#...##..###.#.#..#.#..##..##..#####...##.#..##..#..###..####.#.####..........##.#..##....#.##.###..##.#...##..##.#.#..###.#..#######..#.#...####.#...#.##...#.#.##.##..##...###..#.##...##.###.#..###....###.#.######........#.#..###.###..###.#...#.#.#.#.####.#.#.###.#..#...#..######..#.##...........#...#.#....##.#.#.##....#.##.#..#..##.#..##..#...##..#.##..###.#....#..#..#...##..#.#.....####..#.#.#####.#####..#..##.####.#..#..###.#..###..#
##.#.#.##.#.###.#####...###.####.........##..###.###.###..###.##.#.###.#..#.##.#.#..####.##.##.#...#..#..#...#..###..#.#....#..#.###....#.#.##.#.....#.######.##.#.##.#.#.##.##.##...#.##..####.#....###.....#.###...#.#.##...####..#...#.#...#.##..#...##..#....#.####.##..#.#..#####..#...##...#.#...###....#.####....##.#.#..##.#.######..##.##......#.##..#.###..####.####.###.#..####...##.#.##..#.#####.###..##..##.#####..#...####.#..####..###..#.#..##.###.#..#....#.#..###.#.#......#.#.#.#.#...#..##.######..#...#...###...##....#..#.#..#....##.#.#..#....###.....####.#..######.#.#....##.##....#####....#####......##..#.#.#.###...#.####.##.##..##.#..####....####..##.####..####.#....###.#......####.#.#.####....##..#..#..#.#...###.#.#.#.#.#.##.##.##.#...#..#..#.###...#####.#..#..#...##......##...##.#.#.#.####..##.#.#...####.......##.###.##..###..##.##.#.####...####.#...##..#####.#.#.#.##.#.####..####..#.####..##.#.##.#...####.#...###..#..##.#####..#.#.#.##.####.#.#.##....##.#..#..#..####......#####..####.#..#.##..##..##...####.########.#.##..###.#.####.#...####..#..##.##.........#.#..#..#.###...#.#.#..##.#.......####.####.#.##.##..##.##.##..##....#..#.#...###.##...#....#..##.......#.#.#.####..###..##..#..##.##....#.##.##.######...##.###...#.......#.#.#.#...#...##..#.##..###...##.#.##....#...###.####..#..##..####.###..###.#.###..#..###..#....##...####..#.##....###..#..#....##..#.###.####...###..###..#.#.###.#......#......#..###...##...##.###...##.##.#.#..#..####..#####...#.###.##.#..####..###..####..#..###..#.#.#.#######..###...##.####....##.#....##.#.#.#....#.##.###.#.###...##.####..#.###...#..#..##.#...###.####..###.#.#.##..#.##..........#.....######..##...#..##...#...##...#.#..##.......#.#.###.###...#.###...#.#..##..#########.#..#...##.###..###.#..#..##..#.#.##..##.##.#......#######....#..##..#..#...##.#......##...#.#.##.##...#..#.###..#.##.###.###.#..####.####.#.#...##.##..###.#####..##..#.#.....##..#.#.#..###.#..#.#.##....#..##.....##############.##.#..#.#########..#....#.#.##
...##.#......##.#.#...##..##...#..###....##...###..##....##.....#.######..#.#.#.##...##.#..#.##..###.#.###..#.#..#.....###...####..##.......#...#.#.#....#...######.#.###..#.....#...####.###..#.##.#.#.###.#..##..#...#####.###...#...#.#...##..##..##....#####.###.######.##.#.#.....#.#.#.###...#..#.#.##..#..#####..#.#.##...#....####.#..#...#####..#.##....##.......##.##.##.##.#...#..#....##.###.#...#..#..#.#...#..#.##...###....#.#.#..###.....##..#.##...###.##.###.##..#..#.###..#.####.##.##...#.##.##.####..#.##..###....##....#....#####..##.#####....#.##.####.#.##.#...###.##....#.####.#..#..##.#..##.###.#....##..#....##.##.#.#...###.#..#.#.###.....#.###..###....###.##.#.#..#..#.#.#..#..#.##..##.....##.#.#.#.#...#..##.#..#.###.#.###..#..#.##..#.###..#.#####.#.#...##.###.##..##.#.#.#..#..#..####.#.#..#####..#.##..#..##.###.#####.#..#.##..##....####.#..#####....####...#.#..#.####....#.#.##.#####.#...#.#.####....#####...#...##.#..#....###..#..##..#.#.#..##.#.##...#....##.##.###.#...######..######.##..####.###.##.....#.#..##.##.#.#....##.......#####..#.#..###.#...####..#.#...#.#.###.#..#####.#..#....#######.#...#...#..#.##...#.###.......##..###..##.##.##....#######..#.##.#....##..#..#...##..##.#.##.#########.####.....#####.....#.###.....##.#.......#.#####.#.....##..#..########.#.#.#.#.#...#..##.####.##..##..###..#.#....#.##.######...##.#..#.#.#..#.#...####.#####...#.......####...####...#...#.####..#..#.##.##.#....###.##....#.####..##.####..##.##.#.##..##.####.#.......#..##...#...#.....##...#.###....#..###....##.....##..###.....#.##..#.###.#####....#....#...#..##......##.###..#..#.#.###.....#...#..#.####...#.##.######....####...#####.#..#...#..##....###...##.#.#...####.###....#.#..#.###..##..#...#.......##.##.#.###....#.....#...#..#.#....##.###.#..####..####..#.##.###....######...#.#######.###...##..#.#......##..###..#.#.#...#.##.#..#.#...#.#...#.##.#.##..#.#.#...#...#...##.#####...###.#....#..####.##.#....##...#......######.####.#####..#..#####....#.#...#....#.##....#.##..##.#.
#.#.####.#.##..#.###.#.##..###.#.#.###..#.#####.##...#.#.####.##..###..##..#..##.....#.###.#..#.#.##.###......#####..#.###...#..###...#....###.#.##.#.#..#...#.#.#.#######.##.##.##......#.#..##..####.#..#.....#.#..#..##..###...##......##..#...###.#.##.....#..###..#..#.#######...###....####.#...##.###..#.##.....#####.#.#.#.##..#..#######.##.#...##...##.##...##.....##.#.#####.#..#....####.#####.##...#.#.####..#..##.#.#.#####.#..###.##....#.#.###.###..##.##..#..#.#.....#####.#.#..#.#.#.....#.#.##.#.##...#....###.#..####.....#...#####..#....###.###..#.####.####..#.########.#######..#####...#....#.###.##.##..######.#.##.#.##.##...#.##.##.##.#...#.####.##.#..#.#.#..###.#..#.##..#..#..##.#.#..#....#..#.#.###..##########.##...####..#..###.#..##.##.#####.#...#.........#...###.###..#..###.#....#..#.####.###.....##..#.#.#####..#.####.#.###.#..##...#####.#.##.#.##....#.##.#..##..#.#.##..##..#.####.#######...##...##.###...#...#...#.##......#####....####.#..#..####...####..#...###.#..#.#.###.#...#.##.##....###.##.........#......#...##....####..#....#....#.#.#.##.##..#####.####.##.#..####..#....#.#.####.##.#..#..##.###..###.......#.#..##.#.###...#.##.#..##.#....####.#.#..#.#####.###..###.#........#.#.##....##....######.###.#....#.######.#..###.#.#.#####.#..#.#..######.#.##.###...#.#..##.##..##...##.#.##..##.#..#.#....#..#.##.....##.##..#..#.###.#..#.#.#..#...#.######.###..#..#.....###...#.#..#.#.#.##....########.#..###.#...#.#...#.#..#..##.#.##..#...#####..###..##.##.#..##....#.#####.####..##...#......#.##.#.#.######.#.#..#.##.#.#...#..##..#.###.#.######.###..#.####.#..#.##.###...#.#.##..#.###.#.##.#.#..#..####..#.#.#.#.####.....###...#...##.#...###.####.###....#.#.#...#..##.#.#....#..#.#....###.#..#.#.....###..##.#.###.#..#..#.##.###.####.....###.....#.##..####....#.####.##....###.#..#.#...#.....#..#####...##....#...#.#.#####..##.##...##....#...#####..#.###.#..####.#.#......#..###....###....##.#...#.#.#.#...#.#.#..##...#.###.#.#.#..###.......#.#.###.##.###....##...##.##.....###..#
#.#####..#..#.#.##.###..#..#..##..###.#.#.####.#.#########.........###.#####.#..####..#..##.##..##...####.####.###.#.#.#.#....###..##...#.##...#.##....#..###.....####..###..###..##.##.###...#.#..####.#..#.##########.##....#.#...#..#....#.##.##.....##..##..#...#.######.##.######........##.#..#.#.#..######.##.###.##..##.###..##.#.#.....#.######..#.##...##.#####..####.#.#...#.#.##.#.##.#..#.###.##.#...##.#.#.##...#..#.#####.#.#.#.#.##..#..#....##.##....#..#........#.##.#.#....#..##.##...##.#.#.##...#....#.#..##...##...##.##.#..#.#.##...#....#..#.#....######.##.#.#...##.#...#..###.#.#..#.#..###.....#.###.###....#...######.##.....#.####....#.####.##...######...##...#..#....####.#.#..###...##..#.####.##.#.###.##.#.#..#.#.##.#.##..#.##..#.#..###..#.#..#.###.#####.##.##...#.##..#####.##..##..###.#.###..#.#...####.###.###......##.#........#..####....#...####.#...####.#.#.##.##.#.######....####.###.#..###..#####.#..##.##....#.###..##....##..##.#.#.####.##..#.##....###.#..#.###......##..#...#....##.##.#.#..###.#.#.#.###....###..##.##.#####.#.##.###.....##.###.###.##.....#####.###..########...####..###.#.###.###.#.#..###.#.#...#...###.#..#.##..#.#..#.#.####.#..##.######.......##..#..#.#.##.#..#.###...##...#..##....##.##..#.##..#####...###.##.....#.##...##.###..###.##.#.###..#..#.#.###.###....#.#.#...#.#.#.#.##.#...#.......#..#.##..#.##.....###.#...#.####..##...####..##..###...##.####...##.##.#.....###.###..#####..#.##...#..##....##..#...#.###..###..##....#..#.#..####.##..#...##.##.##.#....##...#.....#.##.#..###..####.#######...#...##.#...#....##.###..###....#.####.#.#..##.##.#..##.#.#..##.#..........##..#.#..##.#..#...###..##.####.###.#.......####.....###.#......##.###.#.#.#..#........#.##.#..#..##..#..######.#.#..#.##.#....#....##..###.##.###.#.#..##...######.....#.#.#..######.#..####..#.#..#....#.#...##.###.#.#.#...#.##.##......##....#...##..#..#...##..####.##..##..###.#..##.#.##.#.##..##...#..#.#..#####.#........#..##.##.#..#.######.#..#......####.##....##..#.....#.#.#.###.#
#.#.#.#...###.###.#...#..#.###.#...##.###..#.....#.##.#.###..#.####.#.####....#....###.###......#..#.#.#..##...#.......#######....#.##.#.....#....#.##....#.#..#.##....####...#..#####......###....##.##..##.#####...##...##.#.####..#.##.##..#....#.###....###.#.#.#.###..##.#.#.#.##.#.#..###.#.#.###..##..#...#.#########.##.#.....##....#.#.####.##..#...######.###.#......#####.#...##.#..#######.####.......##...##......##....#...####..##........####.#.##..##.##.....#.##....#.##.##..##.###..##..######.###..#..#.#..#.#.#...#.###.###...###.##.#..##..#####..##.##..#####..####.#.#.#.#.#...#####.##..#.#...#.#.#.##.#.##.####.#..#####.....#.##.#.....#..###.#.##..#.....##...##.##..#...#.##.####...###..#...#..###..##.#.#....#...#.#.#.#####....###.#.##.#....##.#...###..#..#.#.#.###.##########..##..####...##.#....###..###.#..###..##..##.#....#..##.#########.##...#...###..#....##.#.....####...####....##.######...#....##...#.####.##..#..#..##.#.#.###.##.####.######..#...##.##......#....#.....##.#.#..#.##.#######...####...##.........####..##.#..#..###...#..##.#..#.#.#......####...###.#.#####.##.###.#.##..#######...###.....#####..#.#.#.##..##..#.#.#.#..#####.##.#.#.#...#.#..###.#..##.#.#......#.#.##.##....#....##.######.......##.#..#.#.....##.##....#.#...######..#...###.#..##..##...#.###...#...##.#.#.##...#.#..#...#..##.##..##.###...##......#####.#.#...##.##..#..#.#..#.#####.#.#..###.##...#..#...###....#..#.....#....#..##.##.#....###.......##.####.#..#.....#.#...##...##.##.######...#..#.##.#.###..##...######..#.##.###.#..#..#.##.###..#######.#..#...#..#...#######...##.#.##..#.#...#...###.#.#...#..####......##.#.#.###.#.....####..##.#.#..#...#..#.###.#.....#..######.####..##.##..#..#...#..###.##..####.#....##.#..#.#...##.#.##.#.##.#.##.##.##..#.....##...#..####....#.####.####..##...###..#..#..###.#..#.##..#.#.#.##....#.##..##..##.##.#.#....#.#....#..##..#.##.#..##.##....##..#...##.##.#...#.###..#..####.#.....#.#..####.#.###.########....#.#.#.##.###.##..##.#.##..#..##.##########.#.##.###..##
#...####...#.....######...#.##.#...###...#..#.####..##..#.##.##.####.##..#.##.#.##.#....#...##...#.#.##.##..##...#..#..#...#.#....#.#....#..#...#.##....#.#.###...##.#.#####.#...#....#.#.#.##.#.##.#..#..##.#..#..#.#..##.##....#####.....####....#..#.#.....#####..#.#.#.###.##..##.####.##..#####.##.#####..####.#.##.#..#.####.##.#..##.##..##..###.##......#.#..###..####..##.####....#..##..#.#.####.###.#..#..#.####.###...###..##.#.#.#.##..####.#..#.#.##.##.#.#..#..#...#..####..##.###......##....####.......##..#...####.###.##.##..###.#..##....#.#...###.#.#.#####.##...#...###....####.#.##.#..#..###.#..######.###.#.#.#..##....####.#....#.#####..#.####....#....##.###....#........##.#.#.#...#..##..####...##.#....###...#.##...##...###..#.#..#.##..#...###.#.#..#.##..#...###.##.####.....#####.#.#....#..###.#..###.###.###..#.##..##..#..####.....#...######...##.####.#.#.#.##########...##.#...#..#..#.#....#.#..######.###..##.##.#.#.####.#.##..######.....##.#.###..##...#..####..#####..#.###.##.#....##..#..#.##....###..#.#......###..##.###.#..######..##..#.....####..##..#..###..##.#.#.#........##.#.###.###....#####.##.##.###.#....#.###.#......#.#.###..#..###...#..###....#.#.##.##.#..#.....##.#.##....#.#.#.##.#....###.##..####.##.###..##.##.#..#...#.#.###....#.....#.###.##.#.#.##.#.##.#.#...#.##..#.##..##.####.##......###.#....#.#.###...#..######.###.#.......#....#..#.#.#.#.###.#....#####...#..#.##.#.#####.#.###....###..#..##..####...#.#...##.#.#.#######..##.#.##....###.#.#.#######.#....##.#..##...####.####.###...##.###.#..####.#.#######...#.###..#....##...##.#.#....#.######....######...####.#.##.####..#.#..#####.##..##..####..#....###.#.#.....#.....##.##.##.##........##...#.#...###..##..#.#..#......####...#...##...#####.######...##.#...#..#..#..##..#..###..#.......#...###.###..###.#.#.##..####..#..####..#.#.###.....#....#.#..#.######..###..##..#.#..###...#.##..#.###.###.####..##.##..##.##.###.##...##.##.##..#.#.##...##..##.#.#..#..##....###.#...#.#..###..#.#..#..###..#.#..#.#.###..###.
####.###..###..#.###.##...####.#.#.###.....#..##...#.....#.##.#.###.....##..#....##.#..##..#....#..######..#..####.#....#.###.....#..#########.#.##.###.####..##...#.#....#.###..##.##.##....##.##..##......#.#.#..###.##..#..##.##.....##..#####.#.#...#.#...###..#####...#####......#..#....#.#.#.#.##.##...#.#.#.##....###..###.##..###...##.##.#.###.##.#..###.##...###.#.#..#..#....###...#...##.#.####....#.####..#.#..#...#####.##...###..#.######..###.##...#.#..#.#.###.#.##..##...#....#...##.#.###......#.######.#.######...#...#....#..#.#.##.#.#.#####.#####..##.###.#.##..#.###...#..##.###.##...#.##.#.#..#.###.......#.#....#....####......#.#.##.#.##.##.###.#.....#.######.#..#...##..#..#..##.#.....#...#..#.#..###..###...##....##.......#.#.#.#....##..###.##..#.#########.#.#.##..##.#...#.###......#.##.####..##.#..#.......#.##.....#....#..#.#.###...#.#......##....#...##..#.#.###.#.#..##...##..#..#.###....#..#...#.###.#..##...##...###.#....#..#.#...##..#.....#..#.#.#.####.#.###.....#....##..#..#.#..##..#..#####.#..###..############.##.#..##..#.#..######.######..##...#.#....#..##..#####..#...#######..#.####.#....#.#..######.####.#..####.#...###...####..#.#.##...#..###..###.#.........###...#.#.#....###....#..####.....#.###......###.#..#...#...##..####.####.#####.#.#...###.....#..#.##..####..##..###.#.#.##..##..##.#.#.#.#....###....###.........##.#.##.#..##.#..#..##.###.#######...##..#...#....#..###.#.#...##..##.###.#...###.###...#..###.#####.#.##.####..##..####.##....#.#.#.##...####...##############.#.####.#...#.#.#.###.##....#.#....#..#...#.###...##.###...#.#..#.#.#.####..#.##.##.#..##.#...###.##.###.####.#..###...####.###....###.####.#.#.#..........##.##..#..##.###.###.###..##.......##....##.#.##.#....######.####.####....####..#.####..###..#..#..######.#.#..###...#....###.#.#..#####.####.#####...#..#...#.#..##.######.#..####.#..#.##..#####.........#.....##..#.#..#####....##...#.#...#.#####...#...##..####.#.#.#####.#.##..##....#....#..#..####..##.###.##.##.#..#..##..#.###.###.#.....
#.#.#####.#.#..#..#.#....#....##.##.###..#.#..####....#....#..#.##.##.###...#..####..####...##..#.###..######....##.#..###...##.......#.#...##..#...#...###.#..#.#.....####.#.#...###..#.#..##..##....#..#...#.####.#....#.#...##.##...##.#.#.#..#####..#...#...#.#..#....#.##.###.####.##..##.####.###..###.#..#.......##.#.#.....##....#.#..##....###...####..##.#..#...#...##.#.##...####..####..##.#...##.##....######.#.#.#..#...#.##.##.##.#.#.#.#.#...#.##...##...#.#####..###.#...#.....#.####......#.....#..#.##.###.#.##..###.##.####...#.########..#####..#.#...#.#...#.##..#...##.###.#.#####.#...#..#..#.#..####...#.#.......####.####..#.##..#..####.#.##.#.##..#...#.##..#.#..#..##.#.#.##.#.#..#..#......##.###..##.###.##...##........#..#....###.#.....##...##.....#....##..#.###....#....#..###.#.......#.#..##...###.#...####..#..####.#.###....#....#...#..#..#.#.##.#..#..#.##..##.##..#..##.#....#..####.##.###...##.##.#.########...#..#..#.##.##..##..#.#....#####.#.........###.#####....#.#..#######..####.#.####..#.#.#.#.#.....####.#..####.##.#...##..##..#..#.###..#.#.###......##..#.####.##.#.#.#.##.#.##.##.##........##..#.####...#.#.###.#..#.#..##......###..#......#..##..#.##..#..#.#..#.....#....#.#.....#.##.##....#.#.........##..#..###..#..##.#.###.###..#...###.##..#.#.#..###...##..##.....#..#...#..##.#..##.#.####.#.#.##.##..###.......###.##...###.#...######..##..##.#...##...#..#.#.##......#.#..#.##.#.####...###.###..###.##..#.##.#.#...####.##.#..#.#..##.#.##..#.#.#.##.#..##.####......##..######.##...#..#.#####.###.##..#..#....##.#####..#.#####.##..##.....#.####.##.##..####...####.#.#.##..####..##.#...#.#.#..#.##.#.#.#.#.#.#.###...#.#.##.####.####...#.#.###...###.####.....#....#..###.##..#..#..#.#.###....#....##.......##...#..###########.#....###.#.#.##..###.......#.#.####..##...##......#.#.##..#####.#......#....##.##..#..#.##....#..##.###.##.....###########.#####....#.#.#..#.#.#.#..#####.##....#...##..#..#.#..###.#.#..##........#.......#..#..#......###.##.#.#.#..##.##..##..#.#####..##.
#..##.#...#.##..#..#.##...##.....#..#..###..##..####.##.##..###..#..##..######....##....#....#.#####.####....#.....###...#..#####...#.####.####.#..#...#....#..##.#.#.......###.##########.#.#..#.....##.#.....#...#..#....#...####...#####.#####.#.####.#.##..#..#....##....#...#.####.#.#.#..#..#...###..###...##..##....##....##...######.#..#.#.##...#.##....#...#....#.#.#..#..#.#.##....##.##....###.####..#.##..###.##..#..###..#.#..#..##..###.##.##...####.#.##.#.#...##.#.##.#.#.##.####..#....#..##....#.#..#.###.....##.......##...#..####....#...#.###......#.##.#..###..##.#.#.###.#.##.#.##..#..##.##..#.....#...#...........#..########.#.#..###.###.##....####.......#.###.#.##.##...#####.####....###..###.##...###...##########.##...#..#..#..#.###.#.....#..##..#.#.##.##.######....#.#.##...#..###.#####.#######.##.#...#.....#.#.###..#.##..###.##......###.###......#..##..#.#####..##.##..##.#.#..#...###.#..##..#......#..#...##..#...##.....##.....##....##.####..#.#..##....#####..#.#.######....##.#..#..#.#.#.#....##..#.#...##.#....##..#.#....###..###.#.#..#.....##.###....#.##.####.#....###.##.#.#.#####..#.#########.......##.#.....#...#..#.##...##.#.....#.#..####.####.####..###...###..#.####.#####..#..#...#.#####....#...#..#####.#.#.###.##.####..#.#.#.#.##.###...##..###....#....#..##.#.#..#..##.##...######....####...#.##.#.###......#.#.##.#..#..#...#...##.####..##.#...#.##.##.##.#.#.#.#.##..#.##.#..###...###..####.......#.#.........#.##..##.##.#..#######..#...#...#.#.##..#.##..#.##.#......##.##....###....#.###.##.##...##.#.###.#....#....##..##....#..#.#....##.....#.#....####.....#.###.##.#.#.####.####.##...#####....###..#...##...#..#..#.#.#.##.#.#.##.#....##.#.##.#..#..##..######..##..##.......##..###.####......##..#.###.##.#####....#####.####...#####.###..#..#.#.....#........###.#..#.####..#.#.##.#..#.##....#.####..#..###....##...##.#.#.#.#.###..#.######.#...#.###......#.##.....#.###...#####.##..#.......#####.###..#.####.######..#.###.#..#.###.###.###.####.###.#....#.#......#....####.##
###.#######....#.#####....##.###..#.#.#.#.##..#.#..####...#..####..####.#.#..#..##..####.#..##.###.#.#....#..###...#...##...#.##..###.#..######...###......#..#..##..###..#.###.#.#.####.###..####.###...###..#.#.#.##...#..###.###...##...##...#.##.#...#.#.###.#...#####..#...#......#.##..#.#.###..#..##.#.###...##..##.###.##..#...#..###..#.##......#...###......##.#.#...#....##.###...##.##.#..#.....##.....###.####...##.##...#..##.###.#.##.###..####.#####...##.######..##.#..#.#...#..#...##....#####.#.##.....##.###....#.#.##.#.##.#....#..##..#.##..####.#######.#..#..#######.###....###...#..#.#####.#.##....####...#....##.#.##..#####.###.#.#........#..#.###.#.#....#...#..##....##......#.###.#.....##.#..##########.#####..##...#.##..#..###..###.#####.###....###.#.#.#..####.####.#.###..#..###...###..##.#####..#...#..###.###.#..#.#.#.#...##.#.###...#.#.####.###..##.#.....#.....##.#.#.#.#.#.#.#..###..##.........#...###......#.#..........#...#.###.####...##.##.###......###..####..#.###...###...###.#..##.#...#....###..#...#..#.#.##.#...#.##..#.....#.###.###...##...######..........#...##.##..#.#########.###...#......#..####.#####..###...##.#....#.#.##.#.....#.#.#.#...####..##...##.#.###.#.#.#.###.....#..#.##..#.#.#...##..#.###.#.#.#...##.#...###..##.#.#.#..#.#####.#.#.#..###...##.###.##..##..########...#..#...##.##..#..###.##.##.#..#..#####.#..##.###...###.##.#...#.#...###..#..#..#.#......######..##.######.###.#.#...#.#..##..#..#....#.###.#...#..##.#.#..##.#####.#..#.#.#...##....#..#..#...#....#.#..#####....####.##..#.##.##..##...#...#####..##........##.#..####...#.##.##...#.#.#.##.###.##.#...####.##.##..##.#..#....##.#.#.####.......#...#...#...##.##...#.#.##.#.##.##..........#....##.######...###...#.##.##....###......##.#####..##...####..#.####..#..#.#.#####......#.#.#..#.##.###.#.######.###.#..##.#####.###..####...##.##.#.#.####.###.#.###..#..##..#......##..#.##.#####...#..#.####......##.#.#.#........##......####..#.#....##.#...##.##.#.###.###..##.####.....#.##.#....#.##.##.##..#..
...###.##.##..#.#.###..#.#.#####.#..#.#..####.#..#....#.###..##..#.##.#.#.###.....#..#####.#....#.#.......##.#..##.##...#.##.#..####....#..#.#....####...##..#....######..#.####..#..#####..#..#.#...##.#####..#.###...#.##..#.##.#..#.......###....#...#.....######.##..#.#.#.#..#.##..###...##.###..#...##..##.#..#...###.####.##..###.####.#.#.#.##..#.##########.#####.###.#..#.#....#.###...#.##.##.##..#.#.##.######.#...#........#.#.###.#....##.#...#..#.#.#.###.#.##.####.#.#.##.####....#.#..##.####..#.#...#.#..#.#..####.#..#.#.###.#.###.#######.#.#.####.##....#..#..#..####.###.###....##....##....#.####.##.#..####.....#####.#######...####.###.#..####......#.......#....####....###.###.#.#...###.#..###..##..#..###.##.#...#...#.#.#.#..####....###.#.##..##.######...##.#######.#..####.#..#....####.#..#.###...##.##....#.#..##...##.#.....#...###..#..#..##....#........##..####...#..#..#..##.##.#...#..##..###.###...###.##.###..#.##.#.....#....#..###..##.#.###......####.##.##...#...#.#..#..#.#######..##....#####.#..#....##.##..###...##.##.#..##..#..###.#.###.##..######....####..#.#.#.#..#.#.#.##.#.#####..##..#.....#.#....##..#..###.#####.##.....#...####..###..##...#..#..#..##.#.#..#.##..##.....##.###.####..#.##..#..####..####.#.#.######.....#...#...#.#.##########.#.###.##.#.##.....#.....#.....##.###.#....##.##..#..###.########..#.###.##.#..##..#...........##.#.##.#.#.##.#####.###.######..#..#.#.#####.###..#####.#....#.#.#...###.#.##..####.######.#.......######.###.#.##.##.#.#.#.#...##...###.#.###..#.#.#.###..#.##.#######...#####...#..#.#...#.##.#####.##....###.###...#.#.###...##.###.#.#####.#...##.#.#...#..##.#..#.#..#...###.#......#..#..###.##..##.###..######.#.##...#....#....#.###.##.#....#.#...#...####...#..####....#...#..##.##..#.#..#.#...####..#.##.##..#.#...#.###.#.#.##..#..#..#..###.##...#....##.##.##.#.##.....####.###..##.##..#.#.#...#...#.#.##.#....#..###....#.#..#..#.#.#.#.....####..#.##.##.#.....#..##..#....#.######.#...###...#..##......###..#.#..####....##...###..#..###.###
.#####.#..##.#.##.#.##.....##..######...####.##.##.#.##..#..##.#......#.##..#...#..###..##...##..##..##.........###.##.#.#.....#.#..####.#.#..#.#..##.###...#.##.#.##.##.####.#...########...##.#..#....#..######..####..###..##.#.#.#.#....###.####.#....#.###...#####.##.######.#######....####...###...##....#.#....##....####..#.#.#.##...#..#.##.#.####.###..####..#..#############....#...##..#..####.##..####.#.#.##.#..###.###.....#.....#..#.#..#.###..#..####...#...##.#......##.##..#######..#..##.##...#.....#.#.#.####.###.#.###.......##......#.........#...####...##..#..#.......###.###.##....###...#..###..#.##..###..#..###...#.#..#.##..##..##..##..#...#....#.#.###..##.#.####...##....#.##...#....##.......#.#.#.....###.##..#........##.#...##...##..#.....#.......####.#.##.......#..#######.#####...##...#..###...#..####..##....#...####.#.###.#..#....#.#.###..###..##.#.##..##..#..#.....###...#.#.#.#...#.#....##..#.##..#......#.####..#.#...#.....#..########.#.##.#.###...##...#...#.##.#..###.....#.##....###.##.#.#.......#.##.#..###..####...#.####..#..#####........###.####...#.##....#.#....###.#.#.#..#....#...#.#..##.##.#.##.#......#.#.#.#..###.#....#...###.#####.##.###.#.#..#.....#.#.###.####..##..#..#..#.....###.##.##...###.....#.#..##..####.#.....#..##.....##.....#...#.#..#.###.###....##.#.###.##.###.####.###...#.##.##.#.###.#.#.#.##..##..#.....###..#.###.#..#.####.##..#.#...###.##..####......#...##.#..##...#....#.#.#......######.......##..#..###..##..###..#..##..##.#.###.....##.##..#.#.#....#..######.#.##.#.#.#...##.#........#....###.###.####.#..#####..##.##.#.##....#..#####...##.#...###..#..###.#..#...##..###.##.#.....#...#..........#.###.##..####.#....#.##.#..##.##.##....#.###.....##...###.#..#.##...#....#.....#..####..#..#..#.#..#.#.#.###....###.#.#.##...#.#.#.####.#.###.##.##.##..####.#.#..#####.#..#..####..##......##.####.#..###.#..#....#.#..#....#.#.##..##.#.#.##..#.###...#.####.##..###.#.#.##.#.##...##.##....##..##.....##.##.#..#.#......#....##.###...#####.######.##.#..#.#
..##.#####........#...##.###.##.####.##..##.####.##.#..#....#..##....#...#..###..#####..#.##.###..##..........######.##.#.#.###..#...##.###.##...#..#..#.##....#..##.#....#..####...#...##.####...#.#####.##.##....##.###.....#....#....#.....####..###..#..#####....#...#.#.#....##..#.#####.#..##.##...#####...#.#.#.########..#..#.#.#.#####.#..###.#..#.#.##.#.#...#####..###.#....##.#.##...#..#..#..##..##.###.##.#.###....#.#.##.....#..#.#..####.###.#.######...##..#...#.###.#.....##.###.##..#.#......#########.##..##.####.#.#...#####......###..#...###.#...####.#...####..#...##...#####....#.##.##.#.##...#....#.#.#...#.###..###.#..#.##.....#.#.#..#..#.###.#.###....#.####......#...###..#..##....#.#.##..##...#..#.##.#.##.#.##.####...##.##.##....#.##.###..#..#.....####.##..####..#..#.#..#.##.#.##...###..#.###..#...####.##..##....##....#.#.###.####.#.####..#....#....##..#....#....#...#######.#...###....######.#...####.#....#.#.#.#...####.#..#.#.#.##.#............#.###...#..#.###.....#######...##..#..#.#...##.....#.##.#...#.#.#..#.###...###......#......#.###.#....#....#..#..#.#.##.#..#..####.####.##.#.###....###.#...##....#...###.##.###...##..#.#..##.#....####.#....#.#..##.#.##.##...###.#..##.#..##.##..#.#....#..#..#.#..####...#...###..#..##....###.#.###.#.......#.##...##....#....#.....#..##.##.#....##......#.##..#.##.##...####.##...###.#.#..#.###..#.##..#..#..###..#.#...##...##...##.#..##..##.#..#..#..##.#.#..###.##..#.#.##.#...#.###....##..##.###...#..#...###...###.##.##.##.##..#.#.###...#...#..#...##.#....##.####......#..##.###.#..###..##.#..#..#..#.##..#..#....#.##..#.##.#####..#.#####...####..#..##.#.##.##..##.#.###.##.##...###..#..##.##.####.###...#.##...###.#..####.##..##....#.##...##..#.#..##.##.#.#.#...##.#..#.#.##.#...#..####...######.#.##.####..#....##..####..####..#..##..##..#..#.#####.#...##.....#.##...#.#...##.########.##...#..##.......#..####.....##.####.##...###.#.##.##.###..#####.#...##.###..#..#.#..#..##....#.#.###....#.#....####..##.#.#.#.#...##.###..####...####.#
.##.###.########...#..#....#####....###.##.###.#.#..########..###..#.#..###.##...##.........##......##.###......#####.....####.##.#.#.#..#.......#.###..###.##.##...#.###..####..##.#..#..#.####.#...#.#####.###.#....#..###..#..####.#.#...#...#.#.##.#...#...#.#.#..#..#.#.#...#.#.##.###.#####..#..#....###.##..########.#.##....###..#####..#.#.####...##.#.##.###....#..#..#..##.##.###..#.#.##.#.#..##.###.#.####.....##..#.##...##.##...#.#.#.#####.######.....######..#.##..#.###.#.#.......#.#.##.##....#...##.#..###..###......#.#..###.####....#####.....#.##..#..##..#...####..#...#.#.#.#..##.#..#...#..##.##.#.#.#..#.#...##.##....##...##..#....#.##.#.....####...##..##.#..##.###.#.##.......#...#....#..##.....#..#.#####.##.#.......#.#.....##.#.###.####..#.###.#.#.#.#..##.#..#...##.##.#.#...##..##.....##########.####..######...#.##...#....####..##..##....###..###.###......#.#.#.#.###...###....###...#.###....#..#........###...##..####.##....#...#....#....#...#.#.##.#..#.##.....#..###..#.####....#..##.######...##.#####.#...##..#...#.##...#.......#.##....#######.#..##...##..##..##...#.#.....####.###...#..#.#####...#.##.....##..#..#..#...#####.#..#.#.##....###..#..######.##......###..###..#...#.#.####.#.#...#.###...#..#...#.#....###....#...#....#.###.#.##.#..##.#.###..#.##.#.#..#.....#.#.###.....#..####....###.#.#...#..###..#.##...#.#...##.#..##....##....#.....###..##.#...##.#.####.###.#.####..#...#.####.####.##...#...#.#.#.#....#...#.##.##....#.#.####.##.#.#..###.#...##..#...######..##.#.###...####..#.........#######....#...#..###...##..##.##.....#.#.#.#..#....####.##...##........####.####.#.#..#....###....#...###.#..#..###...#..###.##...##.##....#....#..#..#....#.#...##.#..#.#.#.#.#####.##..#.##.#.#....#.##.##.....##..##..####...#.###..##...#.....#.....###.##..#.#..##.#..##.##.#####.#####.#...##..##.###..#.##.#..##.#.##.###...##..##.#.#..#.#....##.##......###.######.##.##.##.##.#..###......##.###...#.##..#.#.#..##.....#...#.#.###...#..#.#..##..##..#.....##.#.#.#.##.###...###...#..###
.#..###..#.###.#.#.#..#.##.####..#..##.##.##.#.##..#..#..#.#........#.#####...##.##.######.#.#..#...#.###.#.###....#.##.#.##...#..#.#..##.#.#.#####.#.......#.#...#.....#.##...##.###.#.####....##.......###..#.#..#.##.#.########....##..#..#.#.##.#..#....####..#.#.##.#.#####...#.#.#..####.#..##.#..######.#.#....#...#....#..##.###.####....###..#.#.#...#...##.###.#...#..##..#.#..##....###.#....###.####...##.#.##...####..#.##.#.#.#.#.#.....####..#..#.#.#..#.......##.#.#.#...####.#.##....#..#.#.###.#.#.#..####.#.##.###...####..#.###.#.##..#..#.##..##.###.##.#.####.#...######..###...###.....##.......#..#..###.##.##..#.#..#...####..#...###.....####.##.#...#.#.##.#....##..#....#...###.##..#...#.#.#.#.#..#..#....#..#.#####.#......##..#...#.#.#....#######.##..#.##...#####.####.#.#...#..####......###.#..##..##..##......#.####.##.###.#.###.#.##.#.###......#.######.#....##...#..#####.#..#..##.#.#.#####....##......##.#.#.##..##..##.#.###.#.#.......##....####......###.#...#.#####.#.#.#####....#.##...##.#####..###.#.##...##...#.#.####.###.#.#..##.#.#.##.#..##.....#.##.#...##.#..##.##..########...##..#..#.#.........#.###.##.##...####.##.#....#.#####.##...####.##..##.#.#...##....##..#..##..##..#.###.#####...###.....#.#.#....######.##.#.#......#..#####.#######.##########.##.#.#..###...###......##.#..##.###...###.###..#.#...##.......#.##..##...######.#####.#..##.#.###...#.###.#.##.#..#.###.#.#####.##.##.########...#.#.#.####.##########.........#..###.##.#.####...##.#..#.....#....#.##..#.##....####.####.#..#.#.##.##..##..#..#.....###..##.#....#..##..#.#.#...###..###.................#.##..#....######....##.#.##########.#.#.#..##.##..#####..#.###..#....#####...#.##.#..#.#...#.##.#######..#.#..####.#.#########..#.#.####.#.###..##...##..#.#.#.#..#..#..#..#.#..##.##.##.###..#...#.#.###.#.#.#..##..####.#..####.......####.#.....##..##.##.##...##..#..#..##.####.##.##..#.###...##.#.#..#.###..#...#...#..##...#..####.#..##..######.###..##.#..#####.#.#........##.##..#.##....#.#.#..#..#.#...#.......#.
.#####.####.#.##......#.#...#.##.#...#.##...#.#..#.##.######...######.#....#..##..####...#.#..#....##.#..###.#.####.#.#####.##.#..##..#.#.....##.##.#.#.###.#..#...##.#.##...#.#..###.#.###..##.###......###..#..#.##.#...#.#.##..##.##.###..######...####..........##..##.#.###..#....#...#..#.##.#.#..#####..##...####.#####..#..#.....#.###..#...#...####.#.###...#.......#.#.#...######.#.#...#.##.#.###..#....#..##..#..#.#####..#..###.#......##.#.##.##.####.#.####..###..########....#.#....########.#...##.#...###.##..#.##.....##.#...##..###.#..##..###..#.###.#.####......#..##.#..###.###....#...###..###.##..#.#..#####.#....#...#..#........##.####..##.###.#..##....##.#.#...#.##.#.#..###..#.#.##..###.#....##...##.###...#.##..#...##.#..#.##..##..##.######..#.#.##.#######...#.#.#####..#....#.##.#..##.#####.#.##.###.....#.####.####....####..#..#..##.....##....#.#####.#.####..##..###.#..#..##.#.####.####.##..#....###.####.#.#.##.#..#...##.#..####....#######.#..#.##.#..#...#.###.##....#.#####....###.###..###...#..#..#...######.....#.#...#.##.##.#.....#...........##.##...#.#..##..#..#.#.##.#.##.#.#...#.#..##.#.##...###.#...##.##..##..###.####.###.#.##.###..#.##.##.#.#.#..##.##.###..#..###..#........######..###.##.##.#..###....###.#.#.....#.##...#..#.#.#..#.####..#.###.#..##..##.....#####.#.#...####....##..#...#.....##.#..##.###.#..#..#####..#...#.#.###...####.#..#.#.#.####.##.##..#..###.#.#.#.#.....#..##.###.#.###..##....#.#########..##.....########.#.........#....#.####.####.....#.####.##...######..##.###.#.#.####.###....####..###...#.#..#..##.#.....##..###.###.#.#...#...##..#.######........##..#..#.#.##.##.#.#.#..##.#..#.##...##..#.####.#....#....##.#..##..#..####...####..#.##....#..###.##.#####.#.##....#.##..#..####..#..##.##.###.#.....#.#.#####.###.##.#####...##..###.####.##...#..##...##.######.#..##...###.##.#.#.#.#.##.#.......#...#.##......#.##.##....#.####.....#...#.###.###...##.##....###.###.#.##.######.##..####.###.#.##...#...##.###.#...#.##...#.##..#..##.#...#.#..##.##.#.##..
#.##.###.#.###...##..#.#.....##.#.#.#.#....#......####.#..######..#..#....####.#.##..##.##########...#.##..####...##..#...##..#.##...#....##.#.#..##.##...##.###.##.##.#.#..#...##.####.#....###.###....#.###.######...####......#####...#..##....####.###.#..#..####.##....##.##.#.#.##..####.#..###...#.#..##.......#.###.....#.....#.##.#......###.#..#.##..#....##...#...######..##.#..#########.#.#..#..##....##..#........#..#......#.####.###.#.###.##.#....#..#...#.##########.#....#.#.####.###.#..#..#######..##..#..#.....#..##.#.##......##.#...####.###...#..###.##.####..#.#.##....##.##.#########.###.#.#...#..##.###.#..#..##.##.#...##.##....#....###.#...###......###...##.#.....###.##.....#....##.#.##..##.#########.##...#####.##.##.###.#..##....#.#.##.#.#....##.#####...#.####...##.###.....######.....#..#..####.#.#...#..##.#.#...#####....###.........###..#.#....#####.#.#..#..#.#.#..#.###.#.....############.##..##..#...#.##.#.#...#####.##....##.##.#.###..#.....#...#####.#..#.#.#.##.#....#.##...###...#..#.....#..##.##.#...#.#.#.##.####.###.##...#.#.#....#.#......#.##...##...#.#........###.....#..##..###..#######.#.###.##.##.#.#.......##..#..##.#.#...###...##.###.##.###.#.#..#..#....#.####.##.###.####.#..#.##.#.#.#..##...#..#...#.##..##...##..###.##.#..#.###.#..#..###..##..#...##.###...#####.#####.#.#.##..##..##....#######...#.##.#..#..#.#.#.#..##..#.#####....###.......#.#..####.#.#..####.##.#.###.#...##..###....#..#.#.#........#.####..##..#..###...#..#...######.####........#..##.##.#........#.##...###.###...#..........###...#.###.#####...###.###.#....#....#.#..###......#.##.###..##.###.#.#.#...#.....#..#.#####.#.#.##.#.#.#####..#.#.#...####..##.##..#....#.#...#.##....###.####.#.#...#.#.#.#..#..#.#.#######..###....####..#.#...##.#.#####..#..##..#...#####.....##..#....#.###.#..###...##..####.#..#.#.##.#.##.#..#..###...#..#..#.#.#.#..##.#.##...####..###.##.##.#.##.....##.##.#..##..#..#...#..#.#.##.#####..##..#...#..#.###.#...#...#.##..#..#.###.##..##.#......#####..#....##..#....###.#
.#.##.####.#.#.##..#####....##.#....##.##.#......#.#.#.....#.#..#....####.###.##....##.####.##.#.#####..#..##.###.#.#.##.#.#..##.#..##.##..#.#....##.#.###.#...##..#...#..##.#...###...#..###.#....###.#.##.#..........#.#.#.###...#...#.....##.##.####.#####..#.#.#.##.#...#.###...####.#.##...#.##.#...###.#..#.###..#..##.#.##..#...#..#.#.#..##.....#..#..#....##.####.#.#.##.....####..#..####...##.##..#.#.##...####...##.#.#.#..##.#..########..##..##..##.....#.####..#.####.......#.###.##...#..##.##..##...###........#.##...#..##.##...##.#.###.......#.####...#.#.##.###.#..#...#....#..#..#....###...##..##.#.#..####..#.#.###..#....###.###.......#.#.###.###....#..#..#....####..#.#.##.###.#.#####.######.###.####...##..##...####.#####..####.#..##.....#.####.#.#.#.##.#...##.#..####..#.#..#..##.#..#..#######...###.#.#####.###.#.###..##.###..##....#####..#..#.#.#.##.###.#........##.#..#.#####...##.##..#.#.#..#.##.#####..##.......#.##..#..#.#..##.##....#.#...####..#.#.####.#...####..##.#...##...##.#...###..####.##..###...#.##........###.##.#.##.#.#.####.##.###..#...###.###...#..#.........##..#..#.#.##....###..#.#.###..##...##....#.#...###.#...###..##.##.....#....##..###.#######.##....##.#.##.###.....###.#.##....##..##.##.#..#..#.#..#...#....#.#....#.#..##..##.#....#.##..#..####.#####..####.###..#.###..##..###...######.#..#.##..#........##....#..#....#.#.#.#.#.#..##...#..#...#.####.###..######.....##.##..#...#...#.######...#.#.#.##.#..##.##.....#.#.#.....#.##.#..####...##..######.##.#...#.###.##.......###.##.#...###.#.#.#.#.##...####.#..##..#..###.##..##..#..###..####.#.....##.##..#....#....####..#.##.#####.......##....###..#.#####.########.....#..###.##.####.#.####.....#....##.####..#.##.#...#...##.#..#..#.##.#.#.#.##..#..#...#.#..##.#....#.###.#....#..##..#...###.##.##.#....#..##.#.##.###.#......#.#.###.#.####.#.....#.....###.##.#.####.##.#...###..#...#.#....#.#..####...#.###....#.#.#.#....##.##.##..####.#...#.##...#.#.###.#.############.....#..####..##.##..#..##.......######.##....##
.#..#...#.#..##.#.#.#.#.###..####.#.#..#.#####..##...#####.#......#.##......#.##....#####.##..#.#.#...#.#.##.###.###.######..##.#....#.##.#.###......#..#...#..###.##...#.####.#...#.##.#..#...####..#...#.##....#.........#..#.##..###.#......####.########.#.#.#.####.##..#.###..####..#.#.#.##.##.#...#......#...#.##...##.##..##..##..##.###.##.##.#..#...######.#..###.########..####.##.#..#..##.#..##.#...#.#.##..####..#####.#...#.#.###.#..#...#.#..####.###..###...##.##.##.....###.#...#.###....#..#.#.#.#.##..###.####...##...##.#....###...#.#.#.####...#####.##...#.##.#.#.#.#.............##...###.###.#####.##...##.####...##.###.###...##.#...#....##...#....###.#.##..####..#..##....##.#####.###...#.##...###.#....####......##.#...###.#.######...#....###....#.####...#...#..#.##..########.....#..####.####.#.#.#.#..##.##.##...######.#.#.#########....#.#####...#..#..#..#####.##.......##.#.#...#...####.#.###..#...#....###.##...#..#.###..##.#.#...####.####..#.##..##..###.#.###..#...##.##.###.##.##.#..###.#..#.#.#.#.#.......#.###...#.#...#.###.#..##...####...###....######.#..#.#.#.#..###..####.#####.####.#######.#.##.#.###.#.####....#.#...#.#.##.###.#..#...#.##..####.#.##......#####.#.##.###....###.##.#.....#.#..##......####...#.###....#.#.###..#..#......#.#.#####.#...#.....####.#..####....#..#.#..#.##...#..##..#..#.###.##..#.##..###.#.#.##..#.#..#.#..##.####.###.#####....###....##.####..##.....#.##...###.#.#...#..#.####..#..##.####...##.......##..........###.###..#.#...#.##.#.##..##.###..##.##....#.###.......#......#.##...###...#..#.###.#.#.###.##....#....##..###.###.#....#.....#.#.##.#####..#..#..##.#.....##..#####.##.#..#..#.#.#.#####.##.#.#.##.##.##..##....###..##...##.###.#.####.###...#..#.#........#..##...#.##.#.#.##...#.#.#.##.##....##.#####.#.#.###...#.##.#####.##...#.##.####......##.#..#..##..#....##.##.#.###..##...#.#.#.#...#..#.#.#.##........###.#..#.#...#..#...#.#.##.#####.##.....###.#....##.#.#.##.#####..###..##.#....#.##.##...###.##.#..#...##.###...##.#.......##...#...#.#
##.###..#..###..###..#####.###.#.##.#.#.#.#...##.###....###..#.##..##...####...##.#.###..#..#...##.#.......#...#.######.##..###.####...#.##...#.##....#.#.#..##..##...##.#.######..#..###.#...#.#..#.#.#.##..##.##.#..#.##.##..##.##..##..#..##.#.###.##.########.####...#.#..##..####....###...#.###..#.......##.......####.#####..###.#...##..####.#.#.#.##..#####...#..#........#.##.###.##..#..##.#.#..##...#..##.####.######...#.##..#####...##..########.#..#.###..####.#..#..##.....#.#.#..##..#.#....#..#.#.##.###..####.#.####...#..#....#.#...###...##.####..#..#..##.##...#..#.#.#.#...#..#.##.####.....###.##...##.####.....###.#...##.##.#.#...#.###..#.###..#..#..###.##..........##...#####.#...###..#..#...#..#...#..######...#...##..##.#.#.#.#...##.####.##..#...#.####..#.#..###..####...##...##.##.#..###....###..#.#.##.#.######.....##.#####.#..#...#.##....#.##.###..#.##.#..#..#.####.#.##.....#.#.##.#.#.#####.###.##.#.#...#.#.##.#...###########.#.##.......##...#....###.##.###..#########..#..##.##..##.##..##.#.###.#.#.#.######.#.....##.###...#...##..#.#...#..#.#..##..##.##..#...#.#..##...#.#.#.##.##.#.########.#...###..#.#.#......##.##..##.##.####.###.#.##....#.#####....##.#.#####.###.#..#.####.##..#..##.##.#.###...##..#..#....#.#...####....#.#....##......##..#.#...##.#.#.####...#.#....###.#.###.##.##.###.#.#..####.####.#######.#.#.....#.#.....##.##.##..##..######.##########..##..###.#.#.##.......######..###...##..##...#.#.#.#.#...#...#..##.####..#..#.####..#...#.##...#.#.##..#....#.#.#..#..###.######.##.####.###........#..#...####..#....#..#..#..#.#....#.##..#.##.##..##.####.##..###......#.##..#.#..###..#.#.#..#.#.#..##..#..#...#...##.#..###.#.#..#.#.###.###.#..##....##..#......##..####.####..#..############..#.#.#..#####....#######.#.....##.###.###.#.###..#.#.....#.....#...##.#...#...#.#.##.#####......#.##..#...##.##..#......#..##.###.#..###...###.####..###.###.#..##..##.#.#..#....##..#.######.#.###.#.##.#.#.#....#..#.#.#.#....#.##..#..#.#.#.#..####.#..#......#..##.#...####..##.#.###
##...####..###.#.#..##.#..#..##.......#.####.#.......#.#####.##..#..##.#...#....#..#.#.##.##..#.#.###.##.##..#......#.#...#..#...#.######....#.###.#..######....#.##...##.#....#.#..###.#.##.###..#...##..#####..##.#####..###.####.#...##..#.#......#...#.##.#####..####...#..#.#...#.#...####..##.##.#..#.##.####..#.####...##.##.#.###..#..#.#....#####..#......#.##....#..###..###....#.####..##.#.......#.####..#.##.##..#..##.#..#...#..#.#..####.##.#..####..#..####.##..#.###.#.#.#....#.#.#...#...###..#......#........##.##.#....####.#..##..####.#.#.####...#...#.##....##.#..###.###.#####.##..#..##.#...##..#.#..##.#....#.#.#.###...##..##...####.#...###.#.#.##.##...##.#..##...####.#####....#.....##..###.#..####..#.#.#.#.#...#...###.##.####..###.#...##.#....###.#.#.##.#...#####.#.##.##.#.##...#...###########..##.##.##...###.#####.###.#..###..#######....#.###..####.###.##.#...####.....#.##.###..##....###.#.##...#...#######.###..##.#.#.###....###..####..#.....#....#.#..##.####..###.#.#.##.####...#.###..##.#.##.#.####.#######.#####.####...##..###....#.##.#..####..###.#..###..####.#.#..#.#.#.###.#####..##..#####......#.#.#..###...#..#####..#...#..##...#.##.#..#######...###.##..#.#...##..###.########..#..#..####.##..##.#..##.##......##.#..##.#..#..#.###..##..##......###.#..###....###.##.#.######..#####...##.....#..##.#.#....#....#.#...###..#..#.#.....#.#.##.#...#.#..#..###..#.####..###.####.##.....#.#.#######....####..#####..#.#######.#..####.........#.###.##.######...##..###....##.##...##..##.###..#.##..##.#.##..#...#...##..###.#..##.#.####.##.#.###...#..#.###.####.##.#.#####.#..#.#.#..#.####.###....##.......##...#####.##.####.##.####.#.#..#.#.#####.#..##..#.#.####.###..####..#.....##..#.#.#.#...##..#.##..##.#..#...#..#.#..##.##....####....#...###.#.#.#.#.##...##..#..###.###...#.#...####.#..##.#.#.######...##.#.....##..#..###.##..#.####..###.#..####...##.##...##.#....#.###....##.####...##..#.....#.#..##...#.#.#######..##...#.###.#..#..#...###...#.....#.#...###...#.##...##..#####.##..#
#..#####.##..#######.###.#...#.##.##....####.#..#.....#####....###.##..####.#.#..##..#.###......##..###.#..#..###.##...#.#..##.##.##.#.....#......###...##.#....######..##.#.##.##...###.####...###.##.###...#.....##..#...#......#..#...##...#....######.##..#.#.####...###..###...##..##..###.####.###.###.##.##.#..#..#.######.....#.#.......#.#.####..##.....####.###...#.#####...#####...#..###.##......#.#....#####.#.#..#.#.#...####...##..##.####..###..#......#..##.##.#....#..#....###....######.##.###.#.##....#.......#.#####.##.#..###....#.#...#..#..####.#.#...#..#.##.#....#.##.#..####....#.....####..#.##..#####.#.######.##..#####..###...##.#..#..##.####.##.#.......#.##.########.#.####.#..#.#.#.#..###....##....#.###..#..#.##.#####....#..##..#........##.......#####..##.#.##..##.##.##..#..#...#.#..#.#..###.#.###.###.#.###.###.#.....#..#.#..###.#..##.#.###...##.##.##.#...####.#.##..##....#....#.###.####....#....#.#.###..####...#.##..####...##.....###......###.#.#..###.###..##.##..#..###.#...#.#.#######.#.########..#.##..#..#.#.#.####.#.........#.#..#..##.##.#..##..######..##.#.###...#.##.#########.#.#####..#.##..###.##..##.##.#.#..#.##.#.##..##..##..#######.#..###.#.#..###.##.##.##..####.#..##.##...#.#.#...#.##.#.##..#.##.###.#.#.##.##.#######...#.#.#..#.#...##.##.#....#.#.####...##..###..###.#.#..#..#...#.#.#..##..#.#####.#####..######.#.##..#.#.#...#...#.####..##.######.###....#..#.#..#.#####..#.......###..#.#..#...#.###....###.#.#.#....###.#.#.###...##...###...#####.#..####.###...##..#.#.##..#..#...#.##...##.....#...#..###.###.#..#..###..#......###.......###.##....#.#.#.#...###.#..##.#..#..#..#.#####.###.#....#.#...#....#...#...#...#..####.#.##...#..##.#.#####.###.....#..#...##..#....#.###.#.#..#....###..#.#..#....##...###.#.#..#.##..###..###.#.##..#.#.#.#.##...###..#.##.#.#......#.###.#....###...####.##...###..##..#..###..#..#..##.##.#......#...#..#.##..#....##....#...##..###..#.....#..##.#######.#.##..###.##.###.#...####...#.#.###.#..#.##...####.#.#..###...#.###.##.##.#...
.#####.#.#..##.....#.......##.#.####.#.###..#.#....#...#.##..#.#.#.....#.###.####.#.#...#..#.#..#..##.########..#.#...##.###.......#....#.......#.######..###.....#.##.####.###.#..#.##.#...##.##..##.##...##..#.#..#.#...######..####....##.####.#.########....#...#.#..###.#..###...##.#....#####..##..####.#.#...........###.##..#####.#.....#..##..####...##..###.##....##..##.#.##.##.#.#....#..#.######.#.#####.....#....##.#.##.##.#.##.#.###.#.....########.#####.######....###.##.##.#.###.##.#.#.##.##....##..#....##.##..##...##.#..###.##....#....#..###.#######....#.####...#..#..#..#...#.##.#..###.#.##..#.####.#.##..#.####..##....###..##..#...#..##..#..###.....###..####..#.#..##.#.####..#.#.##.####.##...####..###.#..#.#.......###...#.###.####...##.#######.#...#..####.###..##.####.#..##..##...#....##..##.#....#.#..####..#.#.###..#.##.####.#.#...##.....####.##.###.##...##.####.#....##.......#.#.##.#.##...#..#...#...#.....#.##.#..########.#.#######..........#####....###.#..#.##.##....##.#..#..#..##.#...#..#.######.#..#.##....##..#..#..###..#.##.#..##.#.##..#.#..####..###.#.##...##.#.........#...#.#####.##.#....######.#.#..#.#..####...##.....###..#####.###.####..#.##..###.##...#....##.##.#...##.##...###.##.###.#..##.#....##.###.....###.#......#...#.####..#####..........#.#...##.##.#..#..##.##....#...####.###..###.##.....##.##.##.#...##..#....#####....#...##..##.#####..#.#.#####.#...#..##.#.##...#...#..##.#.##..###.....##.###.#.#.##.#.#..#..#..#.#.#.#.#..#..#.##.#.#.##..#..###.....#.#..##.###...#.#....##.#...####.###.##.###..#####....#...#.#.##..#........##...#........###.#...#.###..#..###..#..##.###...#.#...#...####..#####.....#..###.#..#......#..###....#.###..#..#.#.##.#...#....##.##.#..#..#..##########...###......##.##..###....#..#..##.###...#####...###.#.........#..#..##...#####.##......###..##...#......#...#....#.#.#.#..#..#.##..#..#.#.#.###.##..#..####..##....##...#..#..#....#....#...#.#.###.##.##.#.##..#.##.#.##.##...##..##.##.#.#..#.##.##....#.....#####..#.##..##...#..#####
.#.########.#...##.##...#.##.#.#.#.#.##.#.........#.#...#...#...##..#.....######.#..###..##...#..#..###..######...###.....#..#......#..#...##.#####......#.##..###.#..#..###..####.....#..##.#####.#.###.#####.#####..#.##..##...#.###.#.#..#.#####..###.#..######.#..#.#.#..#..###.#.#.###..###.#.#.#.####.##..##...##.##..#.###.####.......####.#.....#..#####.##.###.##.#..#...#####.#..#..#.##.####.#.#..#.#.##.#.#.##..####...#.##.#....#####.##..#####.#.#...#.####..#.##..........#..####...#.#...###.##...######....#.#.#..####...#.##########..#.#.####.##.########...####...#..############..#..#.##.#.###...#.#####.##.##.##...##...##..##.#.#.#.#..#......#..###..#.#.##...#.#..####..#.#....##..##.###....#.###...#...#..#...########.##.##..#####.......#.#....###.###.#.#....##.#.#######....##..###.#...##..###..#...#...#..##...#.######..#####.##....##.####..#..####...###.......##.##.####.#.########.####.####..#.#....#.##.#..#..##.#..#....##....#......#.#####......#...#..#.####...##..#.##..##.#####.#.#...#......###..##.#.##....##.#.##.#.....#..#..###..###...####.#..##..##.#.####..##.#...####....#..#.#.#...#.##..#.##.#.####....#####.###..###...###...#.#.##.#..#..#..#.##.#.###..###..###....#...#..#..#.#.#...#...##..####..#..###..##..#.#.###.#####.##..########.####.##..##..#...##.##.#.####..#.#.....#.#....#...#..#.####.#.#..#..#...###....#.###...##...##...##.##.#.#.#.##.#.#....#.###.#..##.#..#.##.#.###..#.#.###..#.####.#..###..#...#####..####.#....#...##..#..##..#..###.#.####..#..##..##.#...###..#.#.#..####....#...#.###...#.##.##.###..#.#..#...#...##.#..####.#..##...###....#.#.#..#.#..############.##..#...###.###.###.###.#..##...#.#.#.#.#...#.###...#.#.##.#...##..#..##.#.#.##.#..##.#.#.##.##...##.##.##.#.#....#..##.##..###.#.#.###..####.###.##.###..#...####.##.#.##....#.####....#.#.#.#...#..##.##....#.##.......###.##...###.##....###.#...#.###.#..#.#.#....###.#...##.####.##.#..#.#....####...###.########.#..##.#.##........#####..#.#......#...##....#...##..###.####...#.##.#.#..#.#..###.#..#...#
.#####.#..####...#####.####..#####.......#.##...##..####.####..##.#..#.#.##...#######.#..#..#...#...###.#.#######...###.#.#..#..###########.###.#...#....##.##..##..###..##..##..#..#..##.#.#.##..###..#..#..#....#....##.##.#..#####.###..##.#.#.......#####..##..#..####...#.####........#......#.#########..#######.##...#...########......###..#...##.######.##..#.....##.#####.....###.#..####..####.#..##.#.###....###.#.###.##...#..#..##.##..#....####...##.#..##.#.#.##.....#.#.###.##..#..##..##...#..###.##.#....#.####.##.#...##.......##.##.##.#.#.......##..##.#####.#.#..#....####..#..##.#.#####...#.#.##..#.#.#..#.####..###...##..#.##..##.###..######.#.###..#..##..#.###.....##..#.#####....#.##...##.#.##...###......###.#.#...###.#.#...#...#.#..#####..###.#..###.####...####.#.#.#.##.###.##.....##..#.#....####.#...##........###....##.#..#...###..#.###.#.#..#.#########..#..####..##.##..###....#..#.###.#.###.##.###..####.###.#..#..##.#.#..#..#.####.#.#.###.####.#...#...##..##..#.##...#..##..###..#.#.#........#.#.#..#.###.###.#####.#.#.#...#.#.##..#........#...#.##.#.##.#...###.##.###..####..###..####...##.###..##.#..###.##.###.###..##...####..#...###..###.##.##....##.#..####..#.###.#.###.####..##.######..#...###.#..####.#.######..####.....#####.##..##..####.##.##.#...#...#.####..#.##.#...#..#.####.........#...#.#.....#....#.####.###.###......##.##..#.#######....#..#..###...##.#.#.#...###.##.#.##..####.#..####.#.##.#######.#.##......###..###...##..##...#...##....#####.##.#.###..##.#######.##...##...###..##....##.#..##.#.#.##.##.#.#.....#.......#.##..##.#.#.#....###.##.....###.#....#..#..##.##.##...########..#.#.#####...##...#.....####.#.##..##....#..####..#.##..#..###.##...######..###########.###.###..#.#...#..#.##.#.#..#....#.#.######..#...#.###..##.######.#.#.#.###..#..#....#..###.#.#.#....##.#.##.######..#.###..#.##..#.#..#....##..#......##.###.......#....#.#.#..###....#####.#.#..#..##.#....#.#....##...####..#..##.#..#...###.#.....###...#..###..##.#..##...#.##...#.#..#..##..##..
.#.#...###.#.#.....#####.##..#..###..###..####.###.#.#...#.#####.##########.......#.....###...#.............#.....##.#..######....#.##.#..#..#.#####...#..##.#..##.#.##....##...##.#...#..##..#.#..#..#.#.#.#.##.#####.##...#..#...##.#..####.###...######.##.##...#.....#..#.....#...###...###.##..#...#....###.#.#....#.##.....#..#.#.#.#..#.####.#.####.#..#..##.#...##..##.#.........#.###...#...#..#.###.##.####.#.##.#.#.#...##.##.#..#.####.#.##..#####.#..#.####..#.##....#.##.....##.##..#..##.##.#.##.####..##..#.##.####...##.#.###.########...##.##.#.####..##.....#...#.##...#.##.##.####.##.##..##.####.###.##.#.#..#..#...#.##......#..#.#.#.###...#...#.####...####.###.#.#.##...#.##.###...###...#......#.##..##.######.##.....#.###..#.##.#..###.##.###..#...#.#.###.#.#.##..#.#..##...#...#.#...##...#...###.##..#..#.#..######..#...##....#.#..###.##.#.#.#.#......###..###..#.###.#...####.###..##.#..##..#...###.#.#....####.###.##.##..#.##..###....#.#.#####.#.#.##.#..#.#.......##.#..###...###.##..#.##.##.#####.####.#.###.#####..#.##.....#.##...#..###.#...##..##..#.#...##.#.#....#..#.#.#.##.##.##....#.####.#..#....##......###..##..##..#..###..#....#........#..##.###....##..#####.##..#...##.........##.####..###.###...#..##...##......#.#..##......###......####..#.###..##.....#..##....#..##.##.#..#.......#.##.#.#..##....#.#####.#.#.###...#..##.##.#..#.##...#.#.##.#...###.#......##..##..####....###...#.#...#..##.##.#...####..##..###....#...##...#####.##.##...##.#......###.#..#.####.#.#.####..#.#.###..#.#..#.#..###.#.#.#......#....#.#...#.##.#...#.####...##....#..##########..#.#.######..#.#..##..##..####.#.####......##.#.#####.#..###.##..#.#....##########.###.....#......####.#.#.#.#.#.#.##...##.##..####.#.##.#.#.##..##.....##.#.###.#..###..#...##.##..#.##..##...#..#..#.#..#.#.###..#.##.#..###...#.#.#..###.....##..#.#.###...#....##...#....#.#....#.#####.#....#..##.....#..#......##.###..#.##..#..##..#.#.##..#.###.##..#...#..#.....#...#...#.###.....###.#....##.##...###..#...###.##....###.###.#.#.#
....#......##...##....#####..#.##.#.#.##.....##..####.#...######.#..####.##.##.#####.##..#######..###.###.####.#....#.#.#.###...#######.#..####.##..##.#.....####.##....#..#..###..#....#..##..#.##...##..##..####.##.###..#.#.#...#.#..#..####.##.#.#..#####..#...#####..#....#####.#.#..#.#.##..###..###..###..####.#..###.#.#.#..#...###........#.#.##...#####.#.#..###.#..#..##.####.####..#....#####...#.##.#..#####...##...##.####.####....##...##.#...###.##.###.#...#...##.##....#.########..##....#.##..##...#########.....#####.#...###.####..#.###.###.##.#.####..##.#.##.###..####.#####.#.###..#.#.#..####.###...##.#.##..#.#.#.##.........#..##.#..#.###.##.########.#.###.....#...#.#....##.#.#.#.#.....##.#...#.####.##.#.#.#.#.######..#...#..#.#.....##.###..#####..#...#..#.#....#####.#..#....##.....#..#.....##.#.##...#..##.#.#.#..####....#...#..#.#.###.....##.#....#######.#.#..###..#.#.#####.#.#######.#.#....######.#.####.#.###...#.###.#.#.######...##.#..#..########....#.###.###.#..#####.#.####.###.#..#...#....#..#.#.##...#.##..##.####....##.####..#.....######.##...##..#...###..#.##.....#..##.#.#.....#.#...#..###...##......##.#..####.####.#..#.##.##.#...#....###.#......###..#..#.#.....##.#####..#.####.###.###.#.######.#...#..##....#..#####....#..#.###.#..####.#...#...#...##.##..#########.###.#.#.#.####.#.#####..#.##.##.##.##.###.#.###..##...#...##.#...#.#######..##...##.###...##.#.#....#..#...#....#.###...##..#.#.#.#..#....##....##...###...#.##.#..##.#.#.#..#...#.####.#.#.#.##..#..##.###.....#.#.#.#......#.##..#.#..#.#.#..#..#..###......#.##.#...#..###.#..###....#.....####.#.#.##.###..##..##.#.#..#.....##.....####.#.#.##.#..#.##.#####....#.###.#.#.#.##..#.#..###.##...#.##..###..#...#...##...##.#.#....##...####...###.####...#.##...###..#.#...####.####...#..###..##.#.#.#..#.#.##.##.#...##..####..#.....#..#.#####.##..######..#######..#.###...##..#.##.#..#...#.######.#...##..##.#.#.#.##..#.######.##......##...#.##.##....#..#.#.##.#.#..#.#...##.#..####.#.#..#.##..#..#....#..####.##.#.##.
#.####.##.#.###.#...###.#..#..#.....##.##.#..#.#########.##..######.##.###.##....###..#..###.##.#.###.#.#.###.#..##..#########..##.##.#....######.##..####..###.##....#..#.##.#.#.#....#.###..####.####...###...###.#######.######.#..#.##.##...##..#.#.##.#.#....#..##.#.##.##.#....#..#.##.#..##..###.#####.###..###....##.##..##.....#...#..#..#..###..#..#.#.....#......#..#######.#..###....#.###..#.##.##.###.####.#######..#.##.##.#.##...##.#..#..##.###...########.#.#....#.#....##..#...##..#.####.#.#...#.######...#.##.####..#...###..####...#.#.###.###.#..#.###.#...#.#........########.##..###.####...#...#.###..###.###.#..##.####.##.#.....###.####.##..#.#.##..#..##.##.#..######.##...###.....####...#....#.##...##..#..#.#.#.##.#..##.##...####...####.#..##.##..#..#..###.#.##..###..###..###.##.###...##.#.##..#.###..##.###.#.#......####...#.#..###.#..######.#..#.#..###...####...#.###.#.##..##..###.#..##.#.#.###....##....#..##..###..##.#..#.###..###.#..#####...#.##.#.#####..###.###.##.####....##...#.##..#..#.###...##...##......#...#.###..#.##...###.#....#.#...###.#.#..##.####.#.###....#.....##.###...#....##..##...#.#####....#.##.#..#...#.##.#.#...########.#....#.#.......#....#...##..####.#....#.######.##.#..#..##..#.###..#.###.##.#.##.###...#.##.##.....#..#.#..##.###..###...###.#.##...####.##.#..##.###.#..#.#.#..#.##...#.#...#####.#..###..####.####..#..#.#..#.##.....##...#....##....########........#.#.#.###...#..###...#..#..#.#..#.##..##.#.#..##.#.##.#.....#####.#.#..##....#...#....####...##.###.##.#####.#####...#.##...#######..##..#....#######..#.##.###..#.#.##.##..#..#..#..##.......#.#....##..#############...#.#.#...##..########.#.###..##.##...#...###..#.####.####...#.#..#.#...####..#.......####..######..###...#.#..#..#.#..#..#.##...#.##.#####.#..#####...##.#.#.##..##..#....#..........##...#.####.#.##.#.#.#.##.####.#..#...#.#####..#####...##.#.#...#.##.#.#.##.##..##...##..#.#.....#.#..#.#.#####.###..#..#.##.###.#.##.#.###.#####...#.#####.#.#.#....#......##.#.#..#....#.....###..##.
#######.#..###..###.#.##..##.##..#######.#.#.###....#..#.#..#######..##.#.#.####.#.##.#.###.##..##.###.####...#....#...##..##..###.......#.....##..###...####..#..#...#.######.#.#####..#.#.#...###.#####.#..#..######..#.###.#.##.#.#..##...#.####...#####.###.#..#..#..#.#.#.......##..#..#######...#...#..#.#.##..###..#.#......#.###.#.#.#...#.#.#.##.#.#..###.#.#..##...#....#.#.......#....#.#.###.#.......##.#..#.###...#..#.#...##.#...#.##.###.##...##.#.##..##.#.##...#....###.##.#..##.....#..#.#####.#...####.##.##.#.#......##..##..#.###..#.#.......##..#.###..##..###..###.####.#.##.#.#..#.###.#..#.###...##...#.##...######.....####...#.....####..#.###.#.#..#.#.#..####..#..#..###..###..#.####..#..##....#.#..##..###.....#.##.#.##.##...#.##...###.#.##.##..#.#.#.##.#.....#.#.#.###.#.#.......######.#..##...###....#..#....##.####.#.#.#.#.##...#.##..#.#....###.#..#...#...#.....#....#..#....###.##..#.#.....###..##..####.#.#.....#.#...#.###...##...###....#..#..##.##........###.#######.....#......#.###..##.#.#.##..#.#.#####...#.#.##.##.###.....##..#..#.##.#.#####.####.##.###.####...#.####.#....###....##.##.##..#...##....##.###.######...####..##..#####.#..#...#.###.#.....##...#.#####...###.#.#.#.#..#....#.#..#.##.#.#...######...#.#####...##..#.#.#.###......#..#...#.#.##.##..#....#.#.....####..###.##.#.....#..###...#...##...###.##.##..#....#.###..#.###..###..#.#..###.#...###...##.#...#####.##...#.###..##.##.#..#.####.....#.#..#.#.#...##......###.#..##..##.#.##..##.######.#.#........#.....#...##.#..#......#..###..##...##.######.####.##.#...###.#.#.#.####..#..#.##...#####.#..##.#.#.#.##..#.#.#....#......#..##########.....##..##..#....#..#..##.##.###.#..#.##..#.####.##..###..#.#...#.####..##.#.#....#.#..#.##.###.#.#....#.###..#...##.####.#..###..####.#..#..###..#..##..#...###...###.#..###.....##.#...###.####..#.##.##.#.#####...##..#.###.##...####..##.###.#.#...##.###...#.###.......##..#..#..#.#..###..########...#.#######.#..###.##..##.###..#.#....###..#.##...#####.#..#..#.####.#.##.#....#.#
#.....#.#..######..###.....#######.#.#.#######.#..#.####.#.##...###.##.###.#.#.#####....#.#.###.#....#.#..##.##.#...##.###.#.#.##.###..#...#..#..###.#..#..#.##.#######.#..#.##.##.#.....##.#..####..#...#.......#..##.#......#.###..#.....###..#.#####.##.##.#.###.#.########.#.#.###.#.#.###...##.##......#..#####.#..#..#.....#..#...####...##..##..#####..#####..####.##...##..#..........#.#####.#...####..##.#.#####....##.#..####.##.#.###...##.##.####...##..##.#.#.####.#..##..###...##..##.##..#.#....###.#..###.#...##.##..#.##.#.##..#..####.##....####..#.#.#..##...#...###.########.#..#........#.#....##..#.##.#..###.#...#...####.#..##.#.#.###.###.##....##.#######..#..#..#.#..##.#.#..##.##..####...##.#..#....#....##.#####.#....##.#..##..######..#.##..##.#.##..#......##.####.#..##..##.##..####..##.#..#...####.##..###..###....##..####..##..##.###...###....#...#.##..##########...#.##...###.#####.###..##.#..###.###.#.##..#..#....##.....#....#.##...#...#...####.##.#..###.##..#..#.#.###..#.###....##.....###.#.##....##.##.#..##......######...###.#.####..###.........###...#.#.#.....#....##..#.#.##.###...#.#.#.###..##.......###..###..##..#.#....##..#.##.###..#..##....##...###..#..##....#.#.....#.#....##.####..##.#..#.#####.##...#.#...#...#...#..##..#.####..#.......##.##...#.#.#.####...##..#.#.######.##.##.#..#####......##.##.#.##.#.#.#.##.#.###...#.##.#..##.#.#.##..#.......##..#.########.........##.#.#.#.#####....#.#.....#....#.....##.######...#..#.##.##..#...###.#.####.#...##.######.###.#..##.#..##.##..###...#..##......#..###.##..#.#####..###.#...##....#......##..#....#.#.####..##.###..#.#..#####..#..#..########.##..#.#..##.##.#...#..#.##..###..##..#.##...##.#######....##......#....#.#...#...##..###..#.#.##.........##..####.##....#.#..######.###.##....##.#..##.#....#....#.#.#.##...##...#.....#.####.##.##.###.#..###..#.#..##....#......##.....#...###...###.#..###.##...##.#...#.##..####....###.###.#####.####....##......##.##.#..#.#....#..#..#..#..#.###.#.##..#....#.#...#.###.#..#..#....#.
#####.##...####.###.##......#.#.##...#.#.#........#...#.##..#.###.###..#..##...#.#.##.####.#..#.#..#.....#.#...###.#.....#####.#..#.#..#...#...#.###.....#####...##....#..##..#...##....####.#...#....#...#..#...#.#.##.......#..###...####.#....#.####.####..#.##..##..##.###...#.#.#...###.#.######.#.#.....##.#.#..#...####..###.#...###..#....#....#.##.##..##.##.###.....####..##..#...#.##.##.#......##.#.#.#.#.###.#.####..###.#.###.#..........#..#.#.#.#..##...#.#...#..#.#..##..###..###.##..#..#.##.#.#####.####.###.#..##...#.#.#.####.##..#.#..#.##....#.##......#...#.##.#....##...##..#####....##.###.....#...###.#.#...#...#.#.###########..####....#..###.#######.##.#.....##..##..#...#..#.#....######.###....#.###..###.#..#.#.###.#..#####.#.#.#.....#....#####..##.##..#..###.##..##...##.##.##...#######..#...######...#.#..#.###...##..##..#..#.#.....##...#.#..##.####.#....#.#..#.....#.####..#..##...##.....###..#.#####.#..##.#..##.#.....#.......#.......###.###.#.###....##.#.#..##.....####.##.##.###..#..##...##...#.##..#.##..##.###..#....#.#.######.......##.####.##.####.#.#.#.###..##...#.#..#....#...##.....##.####....##.#.####.#.....##.#...##...#.....#.#......#####.#..#.#.#....####.##.####.##...###..#.###..#.##..........##.###.#....##.##..#..###..##..###.#.###.#....#.#.#.#.#.....#......#..#..##.###..###...##.#.#.##..#.##.##.##.....#.#####.....#.##..#.#.##...#.#.###...#.#####.##....#...##.#.###...#.###....#.#.#..#.#...#...#....##..#.##..###.....##......#..#.#...#######..###..###.##..##.##...##.##.####...##.#..#.###..#####.#..###.#.#..##..#..#.#.#....#.#.#.#..#.#.#..###....###..#.##......##.......#.#....####.....#.###.###...###.##.#..#####.#.#...##..#.....#..#.#..####.#...#.....#....#.......#.#..#..#...#.#.#...####.#...####..#.##.###...#..###..#...#...#.#.##.###.#....#.###.#.#...###...####...#...#.##.......##.####..##...#.###...#.###..#.#.....#....###.###.#.#.###...#.#.##..##......#......#.##.###...#..#..##.#..##.#..###.#....##...##..####..#.####.#.......#.#####..##.##..##..##.#.###..##
###.##...#.###..##..#.##..#..#..#..##.#..##...#..#.#...##.#.#....####....##.##.##.#..#....##...#....##.#........#..##.#.##..##.###..#######.#.###.#...##..###...#.####........##.#...###...##.##.#..#.###.##...#####..#..#....#..####.#..##..##...###.###.....###.#.#..####..##.##.#..#.##.######.##.#.#.####.#....###.##.##...##..####..#..#.#...#.##.#.###.#..###.#.#.#...#.#..#.##.####.##.#..##.###...####..#...#...###....#.#.##..####....#..##..#.##.....###.#...#..###..###.#...#.#.###....#..######.#...##.#.###....##.#....###.......#...###...#...######.#.#..#..#...#.#......#.#####.###.#.######.#..#..#.#.#.#..####.#..####.###.#...###.#...#.....######................##...###.#.#.##..#.###..#......##.##.#..#..........##...##....#.#.##.#.####.#.##...#..##..#......##..###.##.#..####..#####.....##...#....#...##..#######.####.#.#.#.##.##....####..##.#......####..#.###.#.#..#.###.######.##.###..###.#..#.....###..##.####..#...#.##....###.......##..#####..#.##.###.##.#.#...##...#...##.##..##.....#.##...#.#.#......#.#....####..#.###.####.#..#..#..##..#.#####..##.###...##.#.#.#.#..#..###.#.#..#...##.##......#..###.#.#..#...#...#...##.##....####.#.#.#..##.#.####......#..#..#.#..#.#...###..###.#..###....#.#....##.#.#.######.#.####.####..#..#.####.###.##.#.##.#..###.#.#.........#..###.###...#..###.####.##.#.######.#.##....##.#..#.#.#..#####.##.#....#.#.##.#....##.####.#....#..##..#.####...##.#.#...#..####..#...##.###........##....###.#..###......#.....###..#.#..##.#.##..##....##..#.##..#.##...#...##.####..#...#.##.##..#####...#...#.###..#.##...#........#.#.######.###..#####..#.#.#.#...##...###.#..#...#.....##..####.###...#..##.#.#.#..#..##...#.#######...#...#####.##.....###..#.####.##..#.###.#...###..###..#...##.##...#..#.#.#..##....#.#.#..#..##..###.#...#.#..###...##..####.#........##...#.##..#.....#.#..##.######..##..####.#..##.###...#..####.##..##..##.#..#..#..#.###.#.#...#.#..#.#..#.#.....#.###.#...###..#.###...##.##..#.###.#..#.#.####....#.##.###..#....#.##.#.##...##.#.###..#.##..##.##.#
###.####...#.#.##.#...##.##.##.#..####.#.##.#......#........#.####.#.#.#.##.##.....###..##.##..#.##.#.#.####..##..#.####....#####...#..###....##..##.##..#.####....########.####.##......#..##.##.###.###..#....#...##.###..##..##.#####....#..##..#.#...#.##.####.###.#..#.#..#####...#........###....###....###.#....##.########..#...##.##......###.#.....##...#.##..#####.#.#..#.###.#....#.#########.####..#..###..#.#..#####.#.####.##..#.###.###..#.#..#.#.#....##.#####.#...#.#.##..##.#.#.####.#.###.#.##.#.#.##.##...##...##.....#..##....####..##..#.#.#..####.....#.##.#.###..###......#..####.#..#..#..#..#.##..#.#..####.#....###.....#######.......#.###.#.##..#....##....##.#...##.###..##..##.#.##.#..####.#.#.....###...###...#####..#..####.#....#.#...##..#.#####.#.###.#.#.#.###.##....##.#.#...#..##.#####.###.....##.#####.#...#.#####.###.##..#.....###..##.......#.#..###.#....#..##.....###...##.#######...#.##.....##...###.##...###.#..#.##.#.#..#.#.#.######.#.#..##.####...#.#..#..##.###.#.###.#####...####..#.##...#.###.##..#..######.....#####.#....######...#..#.#..#...#.#..##...#....##.#.###..######.#####...#..#.......#..##...#....##....##.#####.#.#....##.#..##.#.####..#.#...##.###....##..##.###..##..#...#.....#.####.##.#....#...##.#..#.......#..####....#..#.#.##.#..#....##.##.##.#...#..#.###..###......#.#.#.##...#.#.#....#...#.###..#..#...#...#.##..##.###....#..##.#.#.##.###.####....#......####.....##.##......#.###.#..####.....##.....#...##..##..###...#.#.#..#....##..#..#....#.##.#...#.#.##.#####...#.#...##.####...##...##.###.######.#.##....#..#.#.#...#.#...###..#......##.####.#####.#.#....##.#..####.#....###....##.#.#....#...#####.#.#..#..##.#.#....#.#.##.##.#.##.##.#..##.##..#.#...#..##...##.#.#####.#####.#.....#..###..#....##.#...#####...##..#......##.....##..######..#....#..#..#..#..#.##....#...#....#.#..###.##.#...##.####.##..#.##..#.####..###..#..####.#..##.#.#.....#...#.......#.##.##.#.###.##.##.#..##.....####...####..###..#.###..##.##..##...#....###..#.###.#.....#.#.####....
..#......#.#...#.#.#..#.#..#..#.##...#..##...##.####.#.#.##.....##.....#.#..##.#.######.#.##.#.#..###..####.####..#..##.....###.##.####.###.#..#..###...#..#.#.####....#.##.########.#.#.####.#...###.#...##.###....#..##..##...#...###.##.#.##.#.#########.###.#..####..#.#.#.....##...####..##...#####.###......#.##.#..#.###..###.##.####...#.###.##..##.....#.###.#......###...###.##..........##.#.......####..#...##.#....#.##....#.#........###.###.###.#.###.##..#..#...#..........##...#####..##.....#...####.#.###.#...#.#####.##..#.#.#.#.....##..#...#..#.####..#######..###.#..##..#.###.#.##...#.#.##.##...#...###.#..##.###..##..##.###..#...##...###...####...####.#..#####..##.##....###...###.####..#..#..###..#.###..####.........#..#..##...#.#.#.##.#..#....#.#.##..###..#.#.###.#.##...##.#...#....#...###..#..##...####.#.##..###..#.#.#...#.######..#...###...#.#.##.####.#.##..#######.......##.#.#.#.###.#........#....##.#.....#..##.###..##.#....##.#...#####..##.#.#....##...#.....#.###....#.....#..##..#.#####......#.....#..#.###.##.#.#.#.###.#..##.###.##.#..#..#.#.#.#....#.#..##..#....#...###.##.....##...####.##.#...##..##.#..#...#..####..#####...#.#######.#.#.###.#.#.#....###.#......#..#..#..##.##.##...#.##.#.#.#..####....#......##....##..#...###.#.#.#.#.#..##.###...#..#.##.##.#.#..#...#.#.#..#.#...####....#....#.#.##...........###.#..###.#####....#...##.##....##.......#####..##.###.#...#.##.##.###.#..##.##...######.##.##...#.##.#...#..#..#..##.#.#..##.##..##.#.#######..##.....#....#..##.##..#...###.#...#...###..###...##..#.##..##......#.#.#.##.#.#####.#..###.##..#####..####..##.#.#..##.###.....##..#..#.#####..#..#.####.#.######.#...#..##.#.#....#....##..#....#.##..#.....#.....#####.#####.#....#.#.#........#...#...#####..###.##.###.##.####..##....####.###.#..#.##.##.##...##.#.###.###...##.########..##............#......#..#..#####..##..#####.#....#.#.#..##...#.####.###.##.##..#...##..##...##..##.###.#.##...##....###...##.#.####.#.#...##..##.#..##.#.###.....##..#....####...####...#.#.
.###..#..#..#.##.#.########....##..##.....#.##..#..#..#.####.#.####.#.#.##.#..#########..####...#.##....#.#.#..##..###.###..###.#.#.#..##.##.#...#.##.###.#.##...####......##..##..##.#.##.###..#..####.###....#.#.####.#...######..#.#....#..#.#.#....#.##..#..#.#.....#..#.#.###..##.#..#.#..###.###.##...#.#..#..##.#.####...#.#.#.#...###....#..#######...#..##.####....#..#.####.#.#.##.......#....#.#.###.##......###.#.##..##......####...#.#...####..##...##.#.....#.#...#.#.....#...###.#..##.##....#.###.#####..###..####..###.#.##..###.##......###.##.##..#.#.#..####.####...##..#.###..######.##.#..#...#.#.#.##..#.###.#..#...#####.###..#....#..###..####..##.#####.#####.##..#..##.#.#..####...#..#.##...###..#.#....##.#.#.###..######...#.#...#......##..#..#.##.#....#...##.#.#.#.#..#..#.##.#.#.#######..###..##.###..#...###.#.##..#..#.......#..#.##.....####......#.##.#...##.....##..##..###.#..#####.#.....#.####..##....###.#####.#.#.#.#...#...#..####.....#..###.##.##.#.##..#.#.#..#.###..##.###..#..##.....#....#........#..###.##.....#...#.##..##..#..##.#.#.#.#.#.#.####.#.##.#..#..######..#.##.####.....#...#...###.##...#####.###.#.##..##...##.####.#.#..#.####...##...#....#..#####....#.#...#..##.....#.#..###.#.#.....#.#.####...###..#.#######..####.#.....#####.#..#.#.#####.#...#.#....#...##...#.#.....##.#####..##...#..#......##.##...###..#..##..#.###...###.##.####.....##.###.#.#####.#..##...###...##...###........#.#.#.#.#..#.#.#....#..#..#..##..###..###..###.#..#.....#####.##.###.#.#..##.#...#..##...###.#.#.#..####..###...#.#.#.###.#..###..#..#.#.#....#.#.##..#.##.##.#.#....#.....##..####.#.##.#.###..#..####......###.#.#.###.#.##..##........###.#.##.####.###.###.###..#.....##.#..##.##.......#.####..#..#..#.##....#....#...#...#..#.##....####..#..##...#.##..##.......#.#######.#..#.##..##.#.####..##.##..####.##.##.#.#...#.#.#.##..##..##..#...##.#######.#.##.....##.#.##..#...##....####.#.#.#.#.##.....#.#.###.....##.#..##..##.#....##.#...####.#.##...####......##.##..##...###..###......#.###..#
.####....######..###...######....#####.###....#...#...##.#.#####.#..###..##.###.#.#......##.##.#.#.##....####..#####.##..####.##...#.....##..#.##......#.##.#..#.##.##..####.#####....#...##..#...#.#....#...#..#.###..#...##.####.###.####...##.#####.#..#.#.###.##########....#....#...##..#...####....#.##.#####...##....#.#.##.#......##.##.##.......##..##...#.###..#####..#...####.#..####....#.#....#...########.#.#...##.#.##.##...#..#....####...##..#..#....#.#.#.##...#.##..###..##.##..#.....#...#..#.#.#.###..#.###.#..####.#...#.#..#.#.##.##.#.##.###.#..##..###..#..#...#.#..#.##.....#.###.#....#.##..#..#.........#.#..#######.#.##.##.##.##.#.#.##...##.####..#.###.###...###..######.#..#..####..#...#.###..#.####..#####.####.###..#.#..###....#####.#..#....###.#.#.###..##..#..####.##.###.###..#..#.#..#..#.######.....#.##.#.#.###.###.#..#..###.#.....#..##...#....###..#..#####.#..#..#...#...#.....#....##..#.###......##..#...#...##....#.#..#..##..##.###....#.#....###..######...#....####..#........####.....#...##.##....#..#########.###.##.#....##.###....#.#..##.#####.###.#...#.#..#..#..###.#..###.#.#..##.#.###...#...##.#.#..##.#..###.###.#.#.###..#..##.##.#.#.##.####..#.#.#..####.####..###..#######...#####.#...##.#...##..##.##.##.......####.....###..####....#..#.##.#..###...##..#.##..##.#####..#..#..####.#.##.#.#.....##.#.####..#..#..#...#.##..##.##.####.#......#.#.##...#.###.####....#.#######...##..#.##..#...#....##...#....###..#.###..#.....#####.#...####.#.#..#..##...##.########.##..##.....##..###.#...#...##.......#..##..##.....#.#....#.#.#....#.###...#.######........#...#..##.....#.#.##.#.##...#...####.#######.##......###..#.##.#.#.###.######.....##.#####......#.#####.....###..#.##...#####..#...#..####.##..#.#.......#.#.#....#..#....##.###.###.#.##.#.######..###..#.#...###.#.....###.###.#...#.#.##.##..#.#.###.....##.#....#...#..#.#..#.#.##...##..#.###...#.##.........##.#...###..#####...#.####..#..##.....#.#...##.####..##..#####.#.##..###...#....#.#..#...##....#.##.#..#..#.#....#.
###.#.#.###.###..#.#..###..###.....###.#..####.###..#####..##.#.##.#..#..#.#.##..###.....#.###..##..##..#..###.######....#.######..####....##...##...#....###.#...##....#####.##...#.##.##.......#..##...#.#.#...####.##.#..##....#######.#.#...####.#...##..#..#.#...#...#...##..###.#.....#.#.....#.#.....####..###.#...##....#.#.#..###.##...##...##.#.#......#.#.#...##.....#..##....#.##.#.##.#.#..##.#.....#######..##...##.#.##..#.##.##..##....#..#.#..#...#..#.########....###.####...####.###...##..##.####....##.#....###..#.#.##....##..#....#.#..####..#..###.#.###.....###..##..#..###..#...#..##.####..###..#..###..###..#.#.#..##.###...##.#..##.##....#....###.#.#..##.#.###.#.####.#.###.#...##.##...#.#.#.##.####.#....#.#.#.#.#.##..##..#.#.#..#.#..#..#.#..###.#.####.#.#.#.#.##.########.#.##..#.###.##..##..##.###.##...#.#.#...##...#..##.###..##.#...#....####..#..#......####..#...#..#.....##..#.#....#....#.##.#.##.#...##.#..#...###.######.#...#####...#.#.##..###..#.####...####....#...##..#.......###.#..#.#.##.###.####....#.###.#..######..#....#####.##.##.####.#.##..########.....#...#.####.###.####.#...##.#...##.#.....#.##.#.#..#.#.#####.....#...###.##.##.###.#..###..###....###.#.#.###.#......####..#.##.##....#.##.....#.#.###.#..#.#..#.#...###..........##...###.###.##..##########.#..#..####.#######...#........##...#####..#.#####..#..#.#.#..#.####.##.#...#...#..##....#.###..#.#....##..#.##.##.#.###..#...#####.##..#....#...###.#....####..#..#..#.#.##.#..###..#..#####.#..##...#.##..####.##..#.##..#####.#.#.....#..#...#.#.#...#..#.#####..######...........##...##.#..#.#####..#.#..#.##.#.#.#....#.##......##.###.#.#..#..#....##.###..###..#.#.......#.#.##...##..##.###...##.#..##.#.####.#..#.#...#####..##...#..#.#######.....####.#...###.##....#..#.......###..######.##...#.##.##.........##########.#.#...##...####..#..##...##.##....#.###.#####..##.##..##....##...#.#.#..#..###..#.###.#...##..#####...####.#####.##....#.#.####...##.#.#.##.###..##..#......#..###..###.#....###..######.##.....##....
##.#.##.###.###.#...##..###...#.#.#...#.#..#....#........#####.#.#.####.###.#..#..##.#.##...#.##....#..##.###.#...##.#####..#.#.#.##...###.....###..####.#.##...###....#....##.######.#..##....#####.#.##.##...#.##.#.........#.#######.##....##.###.##.....###.##.....###..#####.###.##..#.#.#....###...#.######.#.#..##.###.#...#...####.#..##...##.#.#.....#..######..##...#...#.#....#.#..##.####.##..#.#..#.##....#.#.#.##...#..####.###.#.##...#...#.#...#.###.#..####.####.###.#.###..#..#.#.#..#..#...###..##.###.####.....#...##.#.##.#####..#.#...#.....#..#....#...#..###..#####.####.#.##.......#.##..#####.####....##.#.#.##.#....###.#..##.....#...####.#..###..##.##.#.#..#.#.#........####.#.#..##.##....##.....##....##...#####..#.##.#.####..#.....#..###..##.##...####...#.#.####..#.#..###.#####..###.##.###.#...#.#.#..#.#....##....#.###...##.##..##.......#...##.##..#...#..##....#.#.##....##.##.##.##...##.#..#.#.......##...###..##.....###.#####.#..#.###...#...######..######..###..#..#..#.....#.#.###...##.#.##.###.###.##.#..#.##.####...#.#.#####..#..##.#..####.#..##########.###.#..#.....###....##.......####....##.#....##.##.##..#.####..##.#####.#..#.#.#####..##.##.#..#..#..#.#...##..#..#..##......#.##.#...#.##....#........#..##.#..#..#.#.###..#...#.#.........#.#..###.#.##.#.##..##..#.#...##..#....##.....###.#.#.#.######..##..##.#.#..#....###...#####.#.##.##..#.##...##..#.....#...##.###...#####....#.#...##..#.###.########.#........#####..#....##..#..##.##.####.#.####...#....#..#....##.###.###.#.#.#.#..#.##.#.#..###....#.#..##.##.#.###..#.###.##...#.####.####...##.##.#...#.###.#.#.#.#######.#####......#......#.#..##...##.#.###.#.......##..####.##.#.###.######.....#..##.##.##...##.###.#.#.#..#..#...##....#.####.#.###..###.#..#...#...##....###..###.#..###...####......#.##.###.....#.##....#..######....#.#.##.###.#..#...#####..#..##....#.#....#..##.##...#..##.##....###..##.####..####....####.#...####.#.#.#....#...#.#.#.#..#..#.###...###..#.##.##.#.##.#.....##.#..#..###...###.#.#...#...#..###
#.#.###...#.#..###.#...#..###...###..##..##..#...###.##.#......#.#..#.###.###..#.####.#..##.#....#...#.##.#...#.#.##...#.###......#.####..#...####..#.####.#.##.....#####..###.#...#.#.#..#...#.#.##...#.##..#..#.####..###.#....####..##....#.#..##..##.#..####.#.##....####....#...#.#......##.###.####..#...#.#...####..##...#.#.##.###..#.#..##.##.#.#.#...###..##..#..#..#..###...#.#.##..##...#.##...####..####.#.#..#..#.#.##...#.#.#.##.####.##.##..##.##..####.#.#...######.#..######...###.###.....#.#..###..#####..#######.#.#.##..#.#.#...###.#.##..#....#...#.#####....###...####..##..##.###...#.#.###.#.....#####..#######.###.#.#####.#.###..###.#.##.#.##.#..##..#....##...#...##.##.#.###...##..##.##.......#...#...##..####.##..####...#.#.#...#.#.#..#########.#....########.##..#####.######..#..##..####.#.#..#..#......###.##...#...#....###....##..##.###.##.###.##...###########.#....#.....#.#...#.###.####..#.######...#....#..####..#.#...#.#..#.#.#.#..##...#.#.##.....#.#####..#.#.#.###..#.#.#..###..###.#####....#.####...##...###....##.######...###..##.###..##....##...#.#..#.#####..##.#.####...#..##...####.#....#.###.#.....##..#...##.#..#.#.#.#...##.##...#.....##.###.#.#.##...##...#..###...##..##.......#.#######.##.#.#...###.#....##.#..#..###.##...##....#.#..##...#..###.#..###..#..########...####...##.....##.##.#.#..#.###.###..##..##.###....#......#.####..##.##....#.##..#.#..####....###..#......#.#.#...#..#.#.######..##....#.#...##.#####.#..#..#.###.#..#.#..#..###.##.#..##..##....###.....#.#..#..#..###..####.#.##.#####.######..#..##..#....#.....##.#....#..##.#.#.....#...#.##.....#...#.#..#..#####.##...#...##..##.##...##.###..####...####...#.#.....#........#.#..##.#.##.#....#.#.##..###...####...###.#.#...####.##...####...##.##.####.#..#.####.##.#...##.#.#..##.###...#.##....##.##.##.....#...##..####..#.#.###.#####.#.#..#.##.#.####.###.##....#....#...#.###.#....####.##..#.#.#.#.#.##..##..#......#..####.#..######.#.#.#..#..###.#.#..#.#######.#.#####..##..#.##.#.#..#.#..##...##.###..#..##.
##...####.#.####.#.#####..#.#.#..#####.....#.###.##.##...#.##.##.###.#..#.#.#..#.###.###.#########...##.###.#..#...#.##.#####...####...#.##.#####...#.####.#.....#..#...##..###...###..#..##.###..###.##.#.#..####.#..#.#.###.##..#.#..#...#.##.##..###.####..#.#.....#..##.....#.....#...#####.#.....#....##.#..#.##.#.##.##...##.##..####.#....#.##....####.#.##.##.#.###..#.#..##..#...##.#..####.#......##...#..#..##.#..#..#..###..###......#.######...#..#.#..##.#.#...##.#....##...##..#..#.##.#..#.#.#..#....#....#..##.###.#.#...#..#.###...#.#..#.#....#.....#.....#..#.#...#...#.##.##..####....#...#.#..###.#..##...#....#.###..#..##......#######.....#.#.#.#.##.#..##.....##.######..##...###..#.#.####.##..###.#.......#.....#...##...#.##.#....#..##....#...####.#..#.######.###..#....##.###...#######....####.###.###.#####.#..#.##.##..#..#.....#.######..###..##.#..######..#..##..#..#.##.##.#...####..##....#..####.#.##...#.####.##...##..#..#..#...#..#.#.#.#.##...###.#.##.##...###...#.#....#.#...#.##.###..#..##..######..###.##.####..#.##.#.#..##.####.#..#..##.##.#.#.##.#..###...#.###..#...#..###.#.....##.#....##.#.....##...##...#.#..#####.#.##..###..#.##.##..#..#.##..#...##..#...###..#####.##.....##.#.##...########...#...#.#.####.#....##..###.##.#######.###.##..##.#.###..####....##.#.##..#.#.#...##.#..#####...#..#...#######...###...#.#.##.####...##.#.#.....####.##.....#.#.#.###.##..#.##.....##..##.##....##.####..#...##...####.#.....#...###....#..#..###.####..#####.#.#.####.#.##.##...####....##.......#######.......##...####.###.#...###.......###..####.##...#.####.....##.#.##..#.##.#..#.###..#.#...#......###.##..###.#...##..#.####..###...##.#.....##.####...........#.#..#####.##.....###...###...##......#...###..###...###.##..#..##..##.###..##..##..#.....###..##.....###...#.#.#.........#####..##...###..#..#...##...#..#.#.#.###.#.#..###.#.#...#..#.##...######.#.##..#.######..#........#.......##...##.###...#..##.##.#.##..####.#.#........##.#..##....##.#..###..#.#####.#.....####...##..#..##...#.
.#...#.#.##.####.#.#..###...#.#.....#...####.#.###..####.#...##.#.#..##..######.##......#..#.#...##...#.#..####..#.#...#....#....#.#.#..#.##.#.#..#.#...#...######.#.#.##########..###...###..#######.#......#.###.####.##...#.###.....###.###...#.#...#.#.....##....#..##....###..#.##.###.#..#.#.#...#.#.##..#######.######..#.##.##....#####..#.#...#.###..##.######.##...#...#..#.#.####...##..#####.#.....#.##.####.#....##..##.......#..##.#..###.#..###..##.##..#.##.##.##.#.##.#.####..#..##...##.#......#####.......#....#.....##...#.#.#.#...#....#..#..####.#.#.#.###.##.####..##....###..##..#..##.###.....#.#.#........######..#...###..#..#.##.#####..#.#.#.#.#...##....##.####......##.#..#.###..#....#..#..#.##....#.#.#.#.###..#..##...#.##.......###.#.###...#..###...##.##..#.#....#...##..#...#.#...##..##..#.#...#..##.##.#...##...##...##.#.##.######...####.....##.###.#...#..#.##.#..#..#.#..###.#####.#.#.#......##..#...#####...##..#..##...#.......#.#.#...#.#..##.###.#...#.#.....##.#.#..#.......#...###.#........##......#.#.#....#.#####.#.##.#.##.#.##.##.####.###...##.#####.###.#..##..##.....##..##..##......###..##..#.....#..#.#.....#.#.##..##.......#.##..##.#.##..#.....##.###.##.#...#.#.#.####.#.###.##..##..##..#####.....######.#..###.#...#.#.###..#..##.###.#...##....#.#.###...#.....##.#..#####.....##.......#.###.#.####..#.#..#.....##.##..#.#..#.##.#.#.#....#####...##..##.##...#.###..##.##.#.####.#..#.##.###...####...#.#..##..#.####.###.##..##.##.##..#.###.#..#..##.#..#...#.#.######.###...#..#..#.###..##.#..#.##..#...#.#.##............#..###.......#.....#.#.###...##.#.####..###..##..#...#.#.##.#...#.#.##.##.#..#....#.#####..##.##.#.#.#.##.#..#.#.##..###.####..#..###.##.###.###..#.##.#.####.#########..##.#.###..##.##.....#..#.#.###.###.#.........#..##..##.#.#..#.#...#.#..#.#...#..###.##...##.#.....#..##.#...##.#.##.......#.####..#....#..##..#..#.###.#...#....#...#....#...##...#.#.##..##.......######.#.#####.#####.#.#..#..##....#######.##.##.#..##.###.#...#.#.#.#.#.########...##.#..##.#.
#..##.###...#..##...#..###..##.#.###.....#####.#.##.#.#..#.##.######...#.####..##.....##.#..####.##..###..#####.##.#.##.#.#######.#...#..###...#..#..######..#.#...#.###.##...###.#..#..#.#...##....##.###...#..........###..#.##.###...#########.#.###..######..#.....#..#..#.#.#..#.###.###.#.#....#####.#..###.######.....####.##.#......#..###....#..#........##..###.#..#######...#..#.##.#####....#..#..##.##....#####.#..#.##.#.##..##...#.#.#.###..##.##.##.#.#.##.#.#.#.###.##.#..##.###.#..###.####..#.##.#.####....#..####..##...#.#.#..#..###.#.##.##..#..#....#..##.####.#.#.##...#..#.#.#.#....#.##.##...##.##.#.#.....#.#......#...###...#...#####......#.###..#..##....####.##..#.###.#.##.##..#.#.....#..#..###...#......###.###..#....##.####...##.#.#####.##....##....#.#.####.#.#.###.#####.##.###...####.#....#.###.#.#.##...####......###.###....#...##.#...#.#.....##..#.##..#######...#########..#......##.....#....#.###..#.#...###..#....######..#....##..#..#..#####..#....#..##.##...###...#####..##.#.####.##..#..#.###...##..#.#####..###..##.#.##...#.......#.##.##..#.##.###..#..##.##..###.#.##.########.#..#...###########.####.###.##.#.#..#...#....#.###.#.##.####.##.#.#####.#.###.##.###.......##..#..#.########.#.#...#.###........#...#...#..#........#.#.#..#..#...##..#..###.#....#.#...#.....##...#.#.....#.#####.#.###.#.#.#..#..##.#...#......###.####..##.#..#...##..####.#.#.#.#.######.#..###.#.###.###.###.##..#...#.###.#.#.#.####.##..####......#.#.###.#.##.#.####...#..#.######.#.##.#.....#.#..###...#####.##....###..#.#..#.#####...###.###.##.##....#..#.##.##..#.............#.#.#.#..####..#######........#..#.####.#.###.....###.#............#...##....###...####.###...##.####...####..#####......#...##..##..###.#.#....#..####.###.###.#..###..#.#.#....##.#.##...#..#.#....#...##.#.#.#.#.....##...####.#.......#.####..#..#####.###..#......#...#.##.....#...#...#.##.....#..########.##..#..#....##.#....###.#.###.###.#.####..##..#.####.#.#.#...#.##..###...#....##.######........#..#.##.#.##....#.###..##.
.###.#...#.#.....##..##.#.#.#..##..#.#...###.#.####....#########.##.##.##..###.#....##..###.##.#........#..###.#.##..#.##......#.###..#....##.##..#..##.#.#.##.#.####.....###.####.##...#.#......#.#..#..##....##...##..##..####.###.#..#####..#####.#.##.#...###.#.....##.#.###....####....####.#.##...##.#..##.....##...##.#.###.##............#.#.###..####.#.###.#...###.....###..#..##.#....##.###...##.####......##..#..#.#.#...###.###.###..#..##..##...#.#.#.##..##.#.###.##.####...###.##.#######...##.#.#..###...###.#.#..#..##....#.#.#......##.....##.###...#..#.#....####..#.#...###.#..#.....#....#....##.##.##.##.##.##..#.###...###.##.#.##.###.#.###.####.#.##.#..#...#.#..#.###.##.###...#.#.#..#######.###..##..######.##.#.#...##....##...##.####.#####.#.###.#...###..###..#.#.###..#.##.##..#.....#...#.##.#.##..####..##.#.#..###....##.#.##.##..##........##..#.###.####...##.#..########.#.#.###..#.##..###...#.##...####....#.......##..###.###.###..###.#...#######.#####..#..#.##..###.#.#####.#....##.....#..#..##...###########.#...#.#....###.#..###..##.#.#....##.#..####.#...##..###...#..##....##.#.###...#..#..#.#.###.##...#.....#..#.####..#.#####...###....#.#..##..#..##.....###....#..#####..####..####..##...##..###.#...#...##.#..#.##.#.##..##.......###.#.##.#...#.###.#.#.##.#...#.###...####.##.##.#..##..#..##.#.....##########.#....#....#...#.##......#..#..#..##..###......#.....###......#..###.#..###....#.#...######.#.##.....#..####.#.##.#..##..#..#.##.###.##..####.#.....###..###....##.##.#..#..#.#.#..#...#..###....####..#.#.##.###.##.#.###.#.####.#.....#.#..###.###.##..##.#.#.#.##.#..#..##..##.###.#.#..#####.#..#.#.##.##.##.##.####.#.##.##.##....##...#.###..#...##.####..###.####.....#.##.###..#...#.#..####...###..###..#...####.#.#.#...##.##..#.###.....##..#....#..##.#..##..#...###..#..#.#..#.####..#.....#.#..#...#.#.###.##.##..###...##..#...#..###..###.#......#..####....#.#####.##..###..#####.##.#######.##......##...###.#.#.#...#####.#.##..#..##.###...###....#..#.###.##.##.###...##....#
##..#...##.#.#.#######.#.#....#....###..#####...#.#.#.#.###........#..#....###..#...#.####..####.#...####.....#..###..#.#..##.#.#..#.##.#.#..#.#..#.#.#..##..###..#.##..##.#.#####.##....#.##.###.#....#...#.#.#.......#....#.#.##...##.#####.###.#.#.#........#.#.#..#.#..#...###..#.####..#..##.##..#...##....#.#...#..#..##...#.###..#######.#.###.#####...#.##.....#.#.#.###.###.#####.##..#.###.####.....#.#..####.#....#..#.#.###..#.#..#.#..#.#.##..###..###.#..#.#.#.#...##.#..##.#.#.#.###.#........###....##.#.........###.#.###..##...#.#.###.##.#.#....####....##.#..##....#..#.#.##.#.#.#.#..#.##..##..##.#####..#.#.#.##.#.###......##.######...###.###.#...##.##.#.###.##.#.#.#.###.#.###....####..#.....###.#.#...####.#...##.##..##...##.#....#..#..#.########....######.####....######..#..###.##...#####.#...#...####.##..###..##...###...###..######.#.##..###.####..#..##..##..###..##.###..###.##.##.##.#.##..#.###.####.....####...###.#.#.#.....##.#.###...#..#...##....#..##..#..#.###.#....#...#.##.#...#.###..##.#.....##..##..##..#.##.#..##.#..#...###...##....##...##.#.#.####...###.#..#...#..####...#.#.#..#..#..####.##.##....##.##..###.##...##..#...#..###########.#.#.#...###.#.#...#.#.#.###.#.######.###.######....#.####.##..#.##.#.##.....##..#.###.##....###.##.#...#...#.####..##....#..##.#...##..##.######..###.#....#####..#...##..#..#..#####.#.......#..#...#.##..#..##.#...#.###..###......##.#...#.#..###..####..#....#.#...#.#####.#..#.#######...##.#####...##..#.#.#.#...###.....#.#.#.##......####.#.#.###..###.#.##...##..#...##.#.#.#...#.#.#..##..##.##..#..#.##.#..#..##.##..###.##.##..#....#......#..#######..##.##..###..#..##..##..#.##.#.##..#....###.###.####.#..#..#..#.#.#...###..###....#.#.###..##.#.#.#...#####.#.#..####.####..#..#...##..###.##..#.#..###.#.#..####.....#.##.###...###.#.#.#..#...#.###.#..###.#.#...#..##.#.#..#.#...####...#.##.##..###...####....####...##..#.##.##..####.#....#..##.#...##..#....##.#.#....#####.#..#.##......#.####.#..#.........#.#....#..#.#.#.#.....#...####.##.##
.#....####.#####...#.#....#..#..###.#..##.#.#...##.#######..##.....##.....#.#..#####..######...#..#.#.#...##...##.##.#.#.....#.#...#.#.##....#####.##...######......####..#.#...###....#......#.##.######.#.#...#...###..#...#.....#.###....###.#........####..#..#.....#.##.####.#.##.##.#..#...#....###.#.####.###.##....##........##..#.###..#..#..#..##.####.#.##...##..#.#..#..#.....#..#.###.####..#...#.#.....###..#.##.##..####...#..##..#.........#####.#.......###.#.#.#.##...###.###...#.#.##..##..#####..#.###.#..#..#.###.###.#.#...#...#.#.#.#...###.#######.###...##......#.##.#######......##....#.##...#.######...#.#####.##.#.#######.###....#.##.####...##.##.###.......##.##.##.#.####......##...##..##..##.###.##.##....##.######..#.#.##..##..#.#..#..#.##.#....###..####.##.##.#.#.......#.#..#.##.#.......#..#.#..#...#####.##....#...#..####..#..##....###.#.#...##..#.#.#....#.#..##..#.##.###..###.###.....#.####....#.##.#....#..#.###..#.....#..#.#..##..###.##..##......#..###..#####..#.#..#.#.######..#.##.....##.#.#...#.....#.#.#.##...##....#.#.........#..#.#.#...##..#.###...###.##.####.##...###....###...#..########..#..#..###.##.##.#.#.#.#.......#...#.#.##.###.#..######..#.#.##...###..##..##.#.#..#.##...##.#...#.#.##....####.####..#.##.##.#....###..#.####....#.#.#.#.####.#....#.#####.#.#...#..##.##.#.###..#...#......####.#####.#.#..#...##..#........###.##.#..##.....#.###..#...####.....#.#..###.##....####...#..###.#.##.#.#.#........##....#####....#.######..#.#####.#...#..#..##..#.###..#..#.#.#.##..####.#..##...##.#####.####.##.##..##.#.....#..###.##...#..#..#..#.#...##.####.#.##..##.#...#..#.##....##.#.######.#####.##.#.###..#.####.#.#.###....#.#.##..######..##...##.##.#.##.#.####..#.####....#..#####.##.#.#.####.##.##.###.....#....#.###.##...##.###....###.##.##...##..#.....###..##.####..#...##.##...##..##.####.##.##.####..#.##.#.######..#.#.#..#..##...#...#.#.#.#####.##..#.....#..##.#....#..##.#.#..#..#.##..#..#.....#.....#..##.###.#.#.#.#.......#..#..#.#..#.#.#..#..##.######...#.##.
######.##.##.......###....#####...#.#...##.#.###.#..#.##......#.###..#.#.#.##..##.#####...#.###..#..###....####...#...#.#......#.#######.#...#.#...#####.#..###..###..######......##.####..#.##.##.#.#.#.##...#.....##..#...#...#..##.#...##.#.#..######..#.#.#.#.#..##...#.##....#.#...###..#######...###...#...###.#.#.###..#####..##...#..##.###.#.#.#.#....###########.#..#...#..#####..##..##...##.#####..#...#..#.###..#.#.#.##.######.#..#.#.#.##.....####.##.###..########..#..###.#.##.##.###...###.###.#####..#####..#..########.#.##..#...#....#...###.###.##........##...###.#.#.#####.##.#.####.###...###..##...##.######.#####.##.#..#.#.#..#....###..####......####..##.#..#..#.##..##.###.#..##...#.#..#..#.......##.#..##.#.....##.##...#...#.#.#...#..###.###..#..#..##......#...#.####.##..####..#.###.##.##....###.##..#.##.#.#####..#.##...###.#..#.#.#.#####....#.####.....#..####..#.#.#.#...#.##.#..##.##..##...#.#...###.##.######.###.##.##.#.#####...#.#.##.....#..#.####.#......##...##.#..#.#.#..##.......##.#.#.#####.###.....###..#...#.##.#.##.#.#...##.#..########..#.......#.........##.#.####...######.##.#.#...#.##...####....#.##...#...#.#.#....##.######....#.#####.##.##.#.##...####.#..#.#...#..#..###.##.#.####...#.#..######.#..#..###....#.###...##...##.##..##.##...#.#...#.#.#......###..#..####..#######.##.......##.##.#.#####.....#.#.##.#....##.#...########..#.##.#.#..##..####.###.######.##..#..#.#.#.#####.....#..##..###.#.......###....##.#..###..##.....##.##..#..#####.##.#...#..#....#..##...#.##........#.#####.##....#####.#####..#.#........#....#.#.#..#####.....#..##.#..####...#.#.####.#.##...###..#..#.##...##.###.####...##....#..#..#..###....#...#.##.####.#.##.###.#..#...####.#.##.#.#.##..#....#..###...####.######.##..#...#..####.#.###.##.###..#######.####.#.#.....####..##...#..#####....#...##.###..#..#..##.#.#..##..###...##.#.##.#...###.####..#..#.#.#..#.#.###.###.#.#.####.###....#.#..#..#.#.#..#.##....#.##.###.#.##..#######.##.#..##..###.####.##.########.####..##.####...#.##...##.##
..#.####.....#..##...##..#.#.##.#....#.###..##.###.#.#...##..#..##.#...####..#..#.##.#####..##..#..##.##..###...#...#.###.#.#..##..###.###.#.#.##....##..##.##.##....####..#.#....#.##.#.###..##...###..##.##..#..##.#..#..#.....##.#..##..#.##...#.......####.#..###.###.#.#.###..#.#...##.###...#.##.##..#..##.#.#....#...##.##.##.#####.#.#.##.##..###.#.##..##.#...#.#.##..##...#.###.......#...##.........###.#...####.###.#.##..##.#..#..#.#......##.##.###...#..#.#....###.#.#..#..###....###.##.#....##....#####...#.#..#.##.#.#.#......#.#.####........##...##..#.##.#####...#...#..#############.......###.####..##...##..#.#...###..##..##...#####.#.#.#..#..###..##..#.#..####.####.#.....#..#.##....#..###...####..#...#.##.###...#.###.#..##.####.#.##..#.####.#.###.#.#..####..#...###.####.....#...##..#.##.##.#.#....##......#.#.###...#..##...##.#..#.###..##....#.#..##.....#..#...###.#..##..##..####.##..####.#..#.....#.#..#.##.##...####.##.#.#.#...#....#..##..#..###.#...#.#.##.#.#.#...####.#..##...#.###..##..#.#####.#######.###.####...##.#..##.##..#.#.#.####....##..##.#..#.#.###...####.##.....##...#..#####....#...#####.#.####....##...####.#..##.###.###.##.#...#...#.#.##..###.#######.#......####...##..#.#.##..#....#####.#..##..###..#.#.#.#####....###..##.##.###..#.####....##.#..##...##....#......###.#....###..##......#.#...#...##.##.##.#..##.#....##.#.#...#.#........##.#.#..#.....####..#...####.######...##....##....##..#.#...###.##.#...##....##.##..###....####.###...##....#.#.####.#.###.##.........###....######...#..#.#.##.#.#.#.#.##...####.#...#..##.##############...##..#...#.#.#...#.##..##..#.#.#.#.#.#.#.###...#.#####...#....#....##.#..###.#####..##.#..#.##..#.#.#....##.#...##.#.#.##.#.##..##.###.#..##...#..##.##.......##.##.#.##..##.#.#.##.#.###.#...#......#.#..#..##...#.###.....#.#..####.#.####.#.....#..##..##.###...###.....#...#....#.....#.#...#.#...##.....##.#..#.##.#..#.###..#.#.##..#.##..##.#.#..##.#......####.#.#.#...#.#...#.###.#####...#.###..##...##...#..####...#...#.##...#..#.#
...###...#.##.##....##..#..#.##..#...######.###.....#.#.#.####.#..##....#..##..###...##.##.#####..#.##.....###..##.#...#####...###.#.#.#..#..#..........#.###....#.##.#.######....#.....#.#..##...#....#........###....#.####.##.#..#...#....##.#.##..#..#.#.#..#.#..#..#.#.###.....###.##.###.#.#......#...##.#######...###...#..##.#.#.##...##.###....#..#.#.####....###...####....#..##.#..###...#...##..#.#.#.###..#.##.#..####.##.#..#.####.##..##.###.#..####.#.###...######.....###...#.......##.###.#.##...#..#.#####.###..#.####.##.##.#.#.#..#.##...##..#.#.#####..#.##....#####..#....#...#.##..#.###.###...##.#....#.###..#..#..#....#...##.#.#..##..###..#.#..#..##....#...#.#.......#..#..##......#.#...##...######.##.#######.#.#.....#....#..##....#.###.##.#.###.##.########.##.#.##.####.####.#...#.#.#..#..#.###.#.#.#....#.#....#.##.###...#.#......#..####...#.##.##..#.##.#....##.##...##.#.#########.#..#.#.######..#.##.##...#...####.##..##.#...##..#..##...###..#..##.#..#.####..#.###.##.#####.#.#.##.#...........#.##.#.....##.......#.##......#.#.###...#.#..#.##..####..#...#..##.#.#......#....###..####.#..#...#.##....#.###.##....###.#...#.......##.#.##.##.....##......###...#.#...##....##.......##.#.###...##.####.#..##..#####.#...#.##.##.#.#######..#..####......#..#......##.##.#.....##.#.#.....##...#.#...#..####..#..######.....#.##.##....#..#.#.###..##..#..###.###########...#....#.#####...#.###...####..######.#..#.##....##..#.#..###.#.#...#.###....##..####.#...#..#.#...##.##.#.####.#...#..#.###.#####..##.#.#..#########.....#..##..#####.#.##.#.######.....##...#......#..#.#.##.#.##..#.#...#..#.....#.##.##.#....####..####.##.##.###.#.##..#.##..#.#....#....##.##.#.#..#..##..#..#....####.###.####..#..#.##.#.#.#..#..#.##.#.#.#...#..#.##...#.....###.#.#.........#...####.###.##.#.##.##.....#..##..#.##.....#..#.#...##.###.#.##.#.#..#..######.####.##.####.#.......#####..#######.####....##.##.#...##.#..##..#.##..###.##.##.##...##.##....###.###..#.########.##.#####..#####..#...###...##.#..###..##.##..#
...##..##.......#..#.###..#.#.##.##..######.###.####..##..#..#..#....#.#....####.#.....#.#.#..#..###.#.###..##.#...#.#...#..#.#####..#..##..##.###....#.##.##....###...###.#.##.##...#..#######.#######..#.#.###.########..#.#....###...#....##...#..####..#.#..#...#.####.##......###.##.#.###.#.#...###.##.###.#.......#.#......###...#####.#######.#.#####.#.######.######.....######........#..##..##.####..#..###...#........#.#...##...########.#.###.#.##.#.##.##.#..##.........##.#...####..#.#..##.#....##..#.#..#..###.#.....#.#....##.###....##..#...##..#.###.#.....##...#.#####.##.####.#.....##.#.#.#.#...#..#.###...####.#....#...#..##.##.##.#..#....####....#####.#...#.####.####...#..####..##.#.#.#.##.##..##..#.#.##.#..###.####.##.##.#.##.###.#.#.###.#.###.####.#...####.#.#.#.#.###..#..#.....###..##..#####.#.#..#..####.###.#.##..#.###.#..###.#####.##.###..#.######.#.##....#.#..#.##.#..##.#..##....###...##.....#..#.......#.##..#.......###.#..#.#.##.#########.#.##.#..#......#..#...#..#..###.#####..#.#..#...##.#.###..#.###.#.##.##..#.#..##.#...#....###....#.#...####..#.#####.....#..##...##.######.#####..##.###.#.#.##..####.#..#..##....#.#...#....#..#.....###..###.####..##.##...###########...##.#.###.##...#..#..##.###.#.#.##.####.####..####.#..########.#.###...#.#..#.#.##..#.....#.###...##.#....##.#.##....###.##.#.##..##..#####.#.....#..#....#..#...##.####......#..#...#.###..#..####.#.#.#####.##..###.#.#..###.##.#............##.#.#..#.#...##...##.#.######.#####.#..#...#...#.#.##..#..#.#..###....#.##......###..####....#...#.##....###...##.#####.#....###.#.######.##..##.##.#.##..#...####.##.##..#.....#.#.##...#.#.##.#.....#...#.##..#...#.##..#..#...##.....##...##...#.....###.#..##.###.#.#.#..#.#...####.###...##.##....#.#..#.##.###....##.######..#.#.##.##..##.##.....#...#..#..#.....##.#.###.#.#....###..###.##.##...##..#..#.#####....##....##..#.######......#..#####.####..##.###...#####.####.#.##.###.##.#..#.###.#...##.###.#..##.##.....##.#.###.#.#.#######......######.##.#.#.#.##..#...#.
..#.#..##.##......#.##.#....#.####.####..#....#.#######.###.###......#.#.####.##.#.#.####.##.#...##..####.##.##.##.##..#.......###..#..###..###.###..#.##....#.#####.#..#..#..##...##..#.##...##..#.#.#.##.##..#..#.##..##..##..#..##.##.#..####.#.#.###.#.###.###..##.##...#..#####.#.....###.#.......#.#...#.###.#.####..##..##.#.##.##..#.##..##..####.#...###.###...###.#.#..##.##.##.#...#.##...##.#...#...#.###....#.#.###.#.##.#.###..##.#.#.#..#.....#.#..##.##...#####.#.....#######...###..#...##....#...#...####..###..##..##..........#.###.#.#.######...###...###..######...#...#.#.#..##..######.#.#.....#...##.###.#.#..##..#.#.###..##.#####..#####..#.########...#....#...###.#.#.####..#.#.#.##.#.#.#..##.####...#...#...###.....#######....##.#..#..#.#.#####...##..##..###.#....#..#...####..####.#..######.###.##..##....##...#.#.#..#.#.##..#.##.#..#######...#..####..#.#.#..#..#####.#...#...#...#.##.#....#...#..#.##.#.###..###.#.....#.#.....##...##...###.####..##.#.#....#..#..#.####..##.###.##.......#..##.#..##.#####..#...####.#..###....#..#.###.####...#.....####..#.##...#.##.#..#.#.##....##..#...#######....##.##.#...#....#.##...#..#....##...##.###..###...####..##....#.##....#.####.....####...#....#..##.#.###.#.#.......#.#.##.####...##..##....#...#####..#....#......#.#....#.##..##.#..##..##.####..#.##...#.#...##..###.#.#.#.####..###...#......#.###.#..##....#.##.##.##.###.##.###....#.#..##.#...####.#..###.#####..###.#......#.###.....#..###...#..#...#..#.##..##.###.......###.##.#..##.#..#..##...#.#.########.#..#.###.##....#.#.##.##.####...###.##...##.##.##.##.###.#.#..##...###....#..##..####.##.##.##.###.###.#.#.####.#.......##.#..#.##.##......#..#..###...#..####...##.####...##...#..##...#####.##...##.....#....###.#.##.####.#.###.#...##..##.#...##.#.#######.#.....#.#.##..#..#..####.##..####.#####.#..#...#..#....#..####..##...#...######..##...#..##..##..#.#.#..#.#.##....#....#.#...####....#...####..#.##..###.#..###..####.#.#...#.##..###........##..#...###..###.#.#............#.#...#.#.##
####..##..###.#.#....#.####.#.#.####.....###.#..####.#...#####.#...##.#.#.#......##...###..#.##...#..#.###.##.#..#######...#...##..#.#.#.########..#.#.####...#...#.##...###.#..#.....#.#######....##..###.#.#.#.###..#..#.#.#.##..#.####...##.#...#...#..#.#...#....###.#....##....#.#....####......#.##.#.#.#.#..#####..##.##.....#.....##...#......#.####.#...#....#.#.###.####.###..#..#.#####.#..###.#.#.#.##.##..#####...##...#.##....##....#..#.#..#..#.#.##....#..#....##...#..###...####.#.##..#####.#.##..#..#.##.#...#.#....###.##...#.#...###..#...#..#.###..#...#.###.....#.#...#...######...#.###.##.###.##..##..#..##.#.####..###..#.##.#.####.....##.###.#.####.#.#.###..#####...##.#####.####.###.##..##..#.##.#.#.#####..#.#...#####..####....#####.###....#..##...#.##.##.#..##..#..###.#...###....####.#.#..#.#####.###..#..########.#.########.#..#..#####.##...#.####.##.######..###.##..##...#.##..##...##.##.##....#...#.#.#...#..####..#..###.#.#.####.#..##..###.#.##.#....###..##.#......#..##.#..##.#.#...#####.#......#...###...#..##.#.###....####.#..#.##..#.#####.#.#.##.##.....#..###.......##.#..##..#.##..#..#.#.##..#..######..###..#..####..###.#.#..##.####......#.#.....#.....#......#.###.#..#.#..##.....##....###...##.....####.##.########.#.#..#.#.......##.#####.##..#.##.##..#..#.#...##.##.#......####.#...#...####..##.#.#.#.#.#...#..#.#.#.#.##...#.#.###...#..###.#.#..#.##.#..#.###.#...###..##.###....##..##.#.#..#....##.###.###.#...#..#.#####..####.#....#..#.....#......#....#....#.####.###..#..#..###...#.######.#.###.#..##......##.#.####......##..#.#.#...#..######.#.##.###.#..#..###.#.#.#########...##.##....##....#.#.#####..###..#..##..###....#####.#..##...#.##########..###..##........###....#.#.####.....#.#..######.##..#..##..####..##.#..........#.#...##..#..##.####.#...###.#######..###.#.#.##..#.#..#.#....##..#.##...####..###..##..##....#.##...##.#.#.##.####.....#....##...#....#.######.#....#####.##.##...##..##..##.#.....#.###.####.#....#.#.#.####.###..#....###.#####..#.##.....#.#.##...
.##.###..##.##...#....####.###...##..####..#.####...###.####.########.#...#.#.##....#####..#..###.###.#.####..#..###....#..#....#........#.##.#....#....#.##..###....#.##.##.#..#.....#.#.#..#...##.##..#.##.##......####..##....###...#..##.#..#..#.#.#...##...####.####...####...#.####....##.#.......##.##..#####.##.#..#...###.#...#..##.##.#.#...##.......##...#..#...##.#..#....#.#..#...#.#.#.#....#####....####..#...#...##..#..##....#####....##.#..####.#.#####......#######.##....#..####.#.##.######.#..#....##.#.#.#..#..#.....##.#######.#.##.#.###.##..#..#.##...#......#...###.##..#.######..#.....#..#..##.#.....#.###.#.####.##.##.#...##..#.###...####..####..###...#.#..###.#.#.####.##....##.##.##.....####.#...#.##.#.#.#...###...#..#.####...####..###.##..##.#...##....#...#.##....###..###....##.##.#..###.#.#.#####...####.##..#...##.....#..###.#.#.##.##..#..###.##..#..###...####.###.#....#.....#..#.##...#..#.#.#..##.#####.#.....#.###...##..#....###.#.##.#.###....###...#..###.###..##.#....#.###.##..####...#..######..#.##.....#..####.#...##.##.##.#..#..###.#..#.#####.##.###..#..#.#..#.###.#.###..#....####..#.##.....#.###...##......##.##.#.#.#...#.####.......#.#..#.....##.....#.#..#..#...###..##.#.########.#..##.#.#.##.#.####.#.#..#.#########.#####....###.#.#..#..#.#.##.#.#.#..###....#.#.#.##..##.###.###.#..#.....#....#####..#.........#.....#..#######.....##.....###.###...##..##.#...#.###.##.##...#..##..#.##..#....####.##..##.##......#....#######...#.#.#.##.....#######.##.##.##..#....##.##..#.###..#.###....##..##.#.#####.#..#..#.##..#.##.#.##..#....#..##..#.####.#.....######....#..#......#.#...#.#....###..####.###.##......#.##.....#.##.###....##.#..#..#####.....#.#############...#.#.##.##..#...#.#.###.#.#.####.#.#....#......#.#...#..##.#.##...#####...####.#####.###..#.#.#.......#..###.#....###.#.#.....#..#.#....##..#.....#..#....######.####.#..#####..##.#.#..#.##....##...##..#.#.#.###..###.###.#..##.##.#..###.####.##.#......#...##.#.#.#.#..#...#......#####.####..#.#.##.#.##....#.#.
##..#....#####.#.....#..###...#.#.#.#.#.#...#..###..#.#.##.#....#..###....####....##..#.#.#.#..#..#####.##.##....#...##.####.#.#...#.##......#.#.##.###..######...##..#.##.#.###...#..#.###.#.#.#....#.###.###.#..##..#.#.###...#..#.##..###.##...#..######.#..#...#.####...######.....###.#...#..####.##.#.##.#.###.#...##....#..#..####......#..##.#.####..##.#...##.###.#.#...#.##..##.####..#..#.#####..#..###....##.#...####..##...##..#..###..###...#.###.........#.##..##.#....###.########....#.##..##..##...##.......###..##.##.##.....#...##.#######..#.##....####.##..#.##...#.##.#.#..####.#..##.##....#.###.#....#.####..####.#..#..#.#...##......##.###..#.##....#...##.#..#..#...#####.##..#.#####........##..##..##.#.##...#..#.#.####..#..#...##.......##..###....##.##.###...##.###...####.#.#......##.##.#..#..###..##......#..##...#####.##.#..##.###.#.###.#.#.###.....#.####.....##..##.#########.#.##...#.##.##.###......#.#.#.#...####....###.##.....##.###..#.##..##.##.##.##.#...#.......###.#.#.###.##.##..####.#.#.###..#.###.##.#.#..#...##..###.#..###.....###.#.###...##.###..#.##.#.....##.#..#......#.#.####.###.#..#..###...#..##.#.#####...####.###....#.......####.#.#..##.#..#.#...#.#.#.#...#..##.######.##..#...##..#.######.#.....##......#..#..#.#.........#.#.#.#.##..#..#.#....#..#...#.##.####..##..##..#####....####.#.##......######.##..#.#####.#.#.....#.#.#.#.......######..###.#.##.#.######.#.#.#.#.#..#.#..##.#....#..##.####....#..##..#...####.#...####...#.##...#.#.##.#..##.######.#..#.##.#..#..#.#.##..#...#.#....#####.##..#..#..##.###..#..##.......###.#####.#..##.######.#.##..#.##..#.###..##..#....#.#.#....#..###..###.#.#.#.#..#.##.###.#....#####.#####.###..#..###.#..#..#..##..##..######..##.....###..#.##.##.###.##...##..###.#..#.#.#.#.###..#.##.#..#...#.####...#...#.#....##..#...#.#..#.###.#.##.#...##########.#...###.####...#....#...##..#####.##.####..###....#.#.#.###.#.###..##..####.#.#####.#.##.#.#.###......#.#.#.##.#####...##..#.###..##.#.#.....#..#####.........#..#####......##.##...
####.######.#.##.#.#.###...#.#....#..####.#.#.##..###.##...#.#.#......##.#..###.#.####.#####.##..##..##.#....###..##.####.##.#.###.###.#...##.####..#.###..#..#.###.##.#..##..###..#######..#..#.#.#..####.##.##.##...#.#...#.#.#..##.#....##.##.#...##..#.##.####.#..######..#......###...#..#.##...####.#..####.#.#..#.#.#...#.#...##...###.###..########..#.#..#.##.#####.##..##..####..#..#...####.#.#....#..#...#.###.#....#..###.#.######....#..##..#...###..######...#.#..#...#.....##.##.#.##..#.#..###.###....#..##.#...#.##..####.#...##...#..#..#..##....#..#.....######.#..##.#####..######....#.#..#.....##....##.###....#..#.##..#.#..#..###.##........#.#######..#.##.#.#..###.....##.#...#.#.##.#..#......####..#........##.##.##.###.##.#.....##.##.#.#.#..###...#.#......#.##.###..#.##.##...##.#.##..#...#..##.##.#.#.....#.####.#..#.#.#####.#....##...#..#..#..#####..#.###.#.##...#..##.#......#....#..#.#.#...###..#....###..#...#.#.##..###.###.#.#..#.###..##....###.####..##.#.......##.#..##.#.#.#.###....####....#.#..##....#.###...##.##.....#.#..#.####..##....###.#....#..#...#.#...##......########.##..######..#.#.##.####.###.#.#.#..#.#..#..##.#...#...#.#..#.##..##.##..##......##....#..#..###..###..###.##...####.....##...###..#.#...##.#.#.#..##.#.#.##.##.####..#.##.######...#..#..#..###.#.###.#..#...#.#....##..####.#.....#####...##.##..#.##..#.##.#..#..###.......#.###.#...#....#...###.#.##...#..#..###....##.##.#.##...#.#.#..###...#..#.##.##.##.##.#..#....#.#.#..#.###..#.######.#.......#.#.#..#.#.##...#.##.#.#..#.#####..##.......#..##.##.##.#....####.##.#..##.#...##...###.#.#..#..#.#.##.#####.#....#.####..#..##.#.#.###.#.##..#.###..###.##.#######..##..#..#...........##.....#..#.#..###.#..#.......##.#.##..#..##.....#....#..#.#.#..###.#.##...#...#####..##..##......#.#....#..##...#.###.##.#....###.#..#####.####..####.####.##..#####...##.##.#..#.##..####.###.###...#.#..###.#.###..#..#.##.##..#...#.###...##.#..####.....#......#...######.#.#..##.##..###...#.#.#.##...###.######.#.####..###.##.##.#
####..##.###.##.##.....#..#..##.#.##.##.##..#..##...##...####...#.####.#.#.#####.###.....#.####.##.#.##..#..#####..#..#.#..#####..#.#.####...##.###.#....####...#...#.##.#.#....#####..##.#..####..#...#.#########..#..#...#.#.#.#.#..##.#...#...#.##.####....####.#..###...#.#..##.####..#.##....####.###..#..#..#..#..#....#......#......#.#..#.#.##....#.#..#..##.#..####.##..#.#####.##..#.###.##...#....#...#.....######.#........###..###.####....#..#.#.........#..........##..#.###..###...#....#####.######....#.........###....##...##..........#.##.#....#..##.#.##..#.##.#.####.#..##.#......##..#.#.#.#.....#...#.#.#..####..###.#..##..#..##..####.##...###..#..###..##.#.#.####.#.##..#..####.#.####...###.##...#.#.###...##.##.##.###.##.###..###.#..##..#.##..#.###..#.......#....#...###....###...###.......######.#.##..##..#.##.##...##..##...###.#.##..##...#...#..##.##..#.#.###....###..####...##..#...#.#.###..#.#...###..#.###.#.#.....#....#.#.####..#####..#....#.##.###..##.##.#.##.##..##...####.....#.#...#...##.###.#.....###.##..#...##..#.###..##.#.##...###.#.#..###...##..##..#.#..##..##.###.....#...###..##..##.#.##..#....#.#.###......##.#.####..###.#.#.###.###..#####.....##.#.###...#..#.#......#....###....#.##..#.##..####...#.#.....#...####.###...#####...#.#..#...###..#..###..#...##......####..#..#..#..###.....######.#....#.#.#.#.#####..#.####...#.....##....##.#...#....#.##.#....##.#...##.#...####.######...####..###.####.##.#.#..##.###..#...###..#...#.#.#.##..#..##....#..#.####.....#.###....#.####..#.#######..####.#..#..###...#.#.##..#...#.....##.##..#..#.#..#.#.###.##..#..##.#.#....#.#...#....##.#.....#......##.###.##.#...##.#.#.##..###.#..#.#.##.....#.##..#..#.#..##.#...###...#..####...###...#..#####...#...#..#.#######...##.#.#...###....##...##.##.....###....##.#.##...###.##...#.##...####.#.##..###.#.###..########.#####.#..#..###.#.#..###.##.##..##.##.#.#..#.###.#....####....#..##...#.#.####.#.##..#.#.##.#####..###...###.#.#.########..###.##..#.....#...#.#.#..####.#.##.##....#...##.
.##...#..####..#.#...#..#...####.#....#....#.#..##..#....####..#..###.#.###.##....#.#.###..#......##..##.#####.##...#.....####.#..##.##..#.#..#..#.##.##...#.....#...#...###.#.#.####.#....##.#.##.#.##..##.###.##.##....#..#..##.###.#.###..#...#..#...#..######.##..###.#.#####.#.###..##.#.#.#..#.###....##.##.#...#.#.###..#.#.#.###.........#.#..#....####..#..###.#..####.##...##....###.##...#.#...#.#####.#.##.#.....#.#...###.##.##..###...#.#..########..#..###......#....#..#.....#..........###...###.##.####.......##..#.#..##.#..#..#..##..##.#####..#..#######.#####....#..####.##..#...##....#..###...#..########....##.#...#.##..#.###.#..##.#.##.#.###.###...#...####....#.....#..###.....#..#....##.##.#...###.##.##....##..##..##..#..######....#.#..#......#..#####.#.#.#...#.###.##....#.###...##..###...#..##....#.#.###...#..##.#######.###..#.###..###.###.#....##....#..##.##.##.....#..##..#######...##..#.....####....#...#.#####..#.#..........###..#..#.#.########..##..#.##.###.##..#.#.####....###.#...#....#.####.##...#..####..#.##.###.##....#...#######.##..#.#...#..###.##.#....###.#.#..#..#..###..#..#.#...#..#.###...#.##.#####.#.#...##.###.#.#......#.#..####.##..####.#.##....#.#.....#.##.####...#.##.##....###.##..##..###..##.#.#####........###.##.##.##.........#.########..#.......#...#..###..####..##..######.#...###.##.####...#.#.#...#.##.#####.......#......##.###.#....####....###..#.#....#...#####.#.###.#.###.#.#.####.....#####.#.###..#.##.#.###..#.#..#.#..#....#...##..#####.###...####.###..##..##..#..#..#.###.##.#.#.#######.....#.##.#...#..#...#..##.#...#####..#.#...#.#..#.#..#######.#.##.##.....###.##...#.##....#.#.##.##.##.#..#..#.###.##.##...#.########.....###......#####..#.#..##..#####..###.#...###..#.##..#.#.##..#.###.#.......####.###.###..#.#...#..#..##.#.#..#.#..##..#.....#....#.##......#.#.##.#..##..###.###..###.#....##.#####.#....#...#..#.###..###.#.#.#.##.#...##.##.#.##..##.#..#.#.#.###.#..#.....########.###...#..#..#.#.###..##..#....#.#......###...#.#.....###..#####....
..#....##.###.#.#....##.###.##...###..#.####...###.##...##...##..#.##.###....#..#..#...#..#...#.##.####.#.####.....##..#.##.....#...##.....###...##....#.#..##.###...####....##.#....#...#...#.#..#.##....###.#........#.#.##.#.######.....#.##.##.###....##.#....#..##.#.....###.###..##..###...##.#....##..####.....#...##.###.....#..#...#........#..###.#.###.#......#............###..#..##.##.#.#.#...#####.##..#####.#.##.##.#####..######.##.#.#..#.#.#..#.#...##.####.#.###.#.#.#..###....#.#.#...#.##..######.#....##.....###.#.#.#..#.####..#.##.##..##...##..####..###......###....#.##.###.......#....#..###.#.#.####.#.#.##..#.#.##..#.##.#######..###....####...#.#..#.#.##.####..#..#.#...###..######.....#.#####...#.#..####...##.##...##..###...##..#.###.###.....#..#.#.####.#.###...##.####..##..#.###..#.####......###.##.....##....#.....#...##.####.#.#.##.#.#####.#.##..###.#..#.##.###.#.##..#...#.#..#.###...#...#.#####.##.#...###..#####.#.#.#.......###....##.###...#..##.#..#.....#.##.####.####.#......#####.#...#..#....##..#.###..#..#..###.#.#.##....##...##...##.#.#..##.###..##.##.#.#..###..#...##.....##..######.#..#.##....##.###...#..#........###..##.##.#..##.###....#####.#.##...####.##.#.##.#..#.#...#..#..#..##...#..#...##..#.#.#.#..#####..##...###..#.####..######.#..#...##...##.#.##.##.#....##.##...###.####.##....##...#.#..##..####.#####.....#.##.####.###..####....###..##.#.#.#.#####...#.##.#...##.........###....##.#.#..#.###.....#...##.#...#.#.####..##.#....#..####..#.##......###..#.###.##..#.#.#.##..#.##.##....#...##...#.#.#....#.###.##....#..##.##.##.####....##.###.####..###.##..###.####.#.##.#...####...##...#...#.##.....#...####..##.#...##..####.#..#..##.##....##.#.#...#..####....#.#..#.#####.....#.....#..#....#..##.##.##.#.##....#.#..#.##..#..#.###.##.#..#.##.#.##.#.#.#######.##..#...#...#.#.#.#####..##..#.#..#..#.##.#.....#.####.##....#..###..#####........##.#....#.##.#..#..#...#...##..#####..###.#...#.##..####.....#.#.#....#...#..####..#.#.#..#.#.#...###########.########.###
##...###....##...#...##......#....#.#....#...###.##..##.........#..#....##.#.#..#######.....#.#....###.#.#.#.#..########.###..#..##.####..#.####.##..####.#.##.#.#.#######..##.##..####..##.##..##..#.#....###....#..#...#.#..##...#....#.#..#.#.....#####.#.###..##.#.#....###.#..##...#.##...###.#...#...###.#......#.##..#..#..##..##.....##...##..##..##.#.##...#####..##.#.#..##.####.##.#.###..#.#####.#.#......####....#.####...#.####...#.#.#.#......#.#..#.##.#..#..##.#....#####.###.####..#..####.##.##..###....#.##.##..###.#.##.#.#..#.##..#..######..#..#####.#...#.....##.....#...####.#.#...###.##.#....#..##..........##.###..###.#.###.##.#.#.#.#....#.###..###.........#.#.###.#.....###....#####.##.###.###....#.#.####..#.##..#.....#.####.######.###.#...#.....#.#.#.#.#..#.##.#........#####.###..###.#.#.##...####.#.##..###.##.###.###.#..#.##.....#.##..##.......#..##.#.#.##.##.###...#.####.#.#..###.##.#..###...#..#.#.#.#.###..#.######.#.....#.##...##.#.####...####...##..#.....#.##....##..##.##.#..##.#.####.#.#..####...#.###.##.##.#..#...#...#..###.....###...#.#########...#####.##.###..##.#.###..#.....#....#.#..#.#.#..##..###...#.....##...#......####..#....#.###.##..##..###.#.......##.##.#.##.##..#..##....#.#..#.#..##.##.##.#.#..##.##...#..###.##....##..######.##.#.##..###.#.#..#.######.####.####.#.#...#.###...######.##.#....#..#.###.##..##..#...##.##...#..####..#.###...#..#...##..#.#......####.#...#..##.########..#.#..##..#...#.#..#..#...#######.###..#..#....#.##...####..........#.###.##..#..#.####...##....###.#######.#.....##...#....####.#..##.....#.#...##.#.....#...####.#...#.####.#...##.###.#....##.###.##..###...##.##..##.##....#.#..#.........#....######.###..##..###...####..####.##.#.###..###..#.##..###..##.#.#..##..##.###.##....###...#..#.#......#.###.#.###..#.#..#####.#.####.#..###..####.###..###.#....#..#...#.#.#.#.#######.##.#..#.#......#.#.#....#######.###.....##.#..#.##..###...#....##....##.##..#...##.##.#....#####.##.#..#.#.#..###.#.#.##.....#.#..#.#.#.###.#..#.##.##..#
##....##..######..#.#.#.#.###.#.###.......###.##.#..#.##..#.##..###....##.#.##.#####....###..#..#..###.##.##.###..###.#...#.####....##.#.##.#..#.#....##.##..#..##.###..###.#.####...#..#.####.##..#####.##.##.###......###..#...##.#..##.#..#...###..........#.##......#.#.####..##.#.#..####.#.##..##.##.###.##..##.##...#.####.######.###...##.#...###...#...###.#.#.#.#...#.####..#########.##.#..#######.....##.#....#.#..#.#..###....#####.....#.#.###.#.....###..#...#..#.###...###..#..##..##...##..###..#...###.#....#..#.###.....#.#...######.#...#...#..#..#.#.##.#####.#######..####.###...#..##..###.#...#.#...#..#..##....#..###....####........#########.##.#.####..#######......#.#..###..#...#.....######.####.####..####...#..###.####....#.##..##.#..#..###.#.###...##.#..#.##...####.###..#...###.#.###.....##.#...#.#.#.#.####..#.....##..#.##.#.#.###.###.###..#.....##.####..#...###.##....###.##.#..#..##..###..####...#.#####...##.##.##.#..##..#.##..#.#...###.##......#..##..######.#.#####..#..####....#..##.####.#..#..#....#..#.#...#...##..##...###.#......#...##.#####..##.##.....#######.#####.#.....###.##.##..####.##.##.#..#....#####..#.###..#..#...##.#...##.#..##..####..###...###.#.#...#...#.#...#...##.#....#..###..#.#.##.....#...##...#.########..##..##.####...##.#####.#####...#.#......#####.#.#....######...#.#...###...####..#.#.#...#....####.##.####.##...#.####..##......##.#.##..##...#.#..####.#...##.#...##..####...###..###.#.##.#..##.....##....#######.#..#####..#..####..#.#....#..#.#.#.....#.##.###....#.##..#.##..###.#.#.#......#.###.##.#.......#...............#.###...#...####..####...#....##.#####....#.##.#####.##..####.#.##.#...##.####.#.##.######.#...#.###.##....#.#..#..##.###..############.#..#...###..###.#.....#.#..##..##.##..#.#...#####.#.###.#......#.####.#..#..#..###.....###....##.#..#...#..##..##.##...#.##.##.#...#.#...#...##.#.#.#..#.#.##.#.##.......#.##.....#.#.###.##..##.#.##.#.#######..##..#.#######.##.##.##.##.#..##.##.........#...#...#...#..#......#..#..##..#.....#.#.##
..#.###...#.##...#..#..#.##..#...###..#.#....###...###......#.#.##...#.....###.##.##.#.#.#...#.##.###.....#.#..####.###.##.##..##...#..###..#.#.##...##.#...#.#..##.####..##.#.##.##.#...#.#...##.##..#..#.....####.....###.#.#####.##..####.....#..#.#...#..#.#.##.#..####..#.#..#.....####....###.##..###.#.#....##.....###.####......##....#.##..####..#.....#..#.#.#.##..##.##..#.##..#...###..##.#.#..#..###.##..###...##.##..#######....#...##.#..##...#...#.#...#.#..#####...###.#......##.####..#.#..#.#...###.....#.......######....##.####......#....#...#.#.#.##..###.#......#.####.###......#.##..##.#.#..#.....#........##.#.####..####.###.##.###..##.###..#...#..####.##.##..#....#.#....#.#########.##.#.###.###..###....###....##......###..#.#....#......##......###.##.###...#..#..##.#.###.....##.###..##..###..###.###....#.....#.##.#....#......#.##########.#.#...#..#..#..###.###..##.##.#.....###.#####.#.###.#.#....##.##..##....#......#..##..##.#.#.##.##.#..##.#......##.....##.#....#.#..#.#....#####.#.##..####.#.####.##..#####.##.#####...#.#..######.#.##..#.###..#..####.##....####....#.....#..##.##.#...##.####..##.....#####.#...###.#####..#..##.#.....#.#..#..##.##.#...#..#..#.#######.#.....#.##.##.#####..###.#...#.#.....#.##.#...#.#..#.####..#.......#..#..#..##..##.###.##.##.#.####...###.##.##.#..##.##...#.##..#.#..##..##..##..##.#..........####..#..###.#.####.##...##..####....##.###.#.#.#.###....##.....#.#..####.###..##.#.#####..##.###..####...#####.#..#....#..#.#..####..#.......#.#.##..##.#..##.##.#.###.#.......#.#.#...#..###.#..##.#..#..##.#.#..#######.#######.#.#....#..##.###..#.#########.##..#...##....###########.#..###..###....##.##....#.#..#..#.#..#....####.##.####...###..###.######.#..#.##.#.###...#.#.#.#.#.########.#.###..#.#..#####.####..#....#.#..#.#.....#..###.#.#..##.#...#.#.....#####.###...##...#.#..##.#..#..##.####...#.#####.###..###.##...##..##.###..##.......##....###....#...........#.####..#......#.#..#.###.######.#.##..####.#.#######.#......###.#..#.#.###.#.####.##.#
..####...#...#..#.##..#..#......#....##.#..####.###.#..###...#.#.....####..##.#...#..##...#.#.###.#.#....#####....#.#..#.#.########.##.###.###...#.#.#.##.#....##..###.#.##..###.##.#####....#.#####...#..#.##..###.###.#.###.#.##.##.###..#..###....#.#.##..#####....##.##...#..#.##.#.#..#.....###.##.........#.###.#.##....##.#######.#.#..###.########....#..##.....#.#.#...#...#..#.#.##..###..##.#...#.##.##.##..##...##..#...###.#...#.#.###.##...#.##..#.###..##..#...#.####..#..####.#....###..#..#.##...###..#..#.##.#.....#.##....##.####.##.#####..#.########.###..###...###...##..##.....#.#.#.##.#..##.#..##.###.#.#.####..###.##.##.#....#.#.#.#....#..#...#.##...##...#....#...###.#.##.###..####...##..#.....###..###..#.######.##.##.#.#..##..#######..#..#....#####.#.#.##########.#....#.#....####..####.####.#...#..######..#..#..#.####....###.#.#...#..##.#.....#.#.#.##########.#...#.#..##.##.##.#..#..##.##....##..#.#.#..#..#.....###.##..........#..#...#.....#....##..#.###.......#.#..##.###..##.#.#..###....###.#..##....#...##.###....##...###.##.#....#..##.#.##.#..#.#.#.##.#.###......#.###.######.##.#.##.#...#.###..#.####....#..##...#.#####.####..#....#.##..#####.#..#....########...#..#.###...##..###..#.#.#.#.#.####.#.##..#..#...#..#####.#...####.####..###.####.....##.#..#..#..#.#.#...#...#...#..######....#.#.#.###.###.##......#######...#..##...####.###......###..#.#.##.#..##.##..###...#..#.##.#..#.#..#.#.##.#..#...#....#.....#..##.###....#.#..###.....#..#....#..###..###.#####..#####.#.####.##...###....##.#.#.#.###..###...##.##.##..######.....#.#######...#...####......#..#.#.#.#.#.#.##..########..####..##...####.#.#.#..######..#...##..#.....##.##.#.####.....#....#..##...####..##.###..#..##....###.###.#..#.#########...#...##......#.#.##..##.....##.####.#..####.#..#...#....#...#.#..#..###....#.#.#.#.#.#..####...####..##.##....##.#.##.....##..###.....###.###.###..##....#.#.#..#####.#.###.##.######.####.##.#..#.....######.......##.#.###..##..#####....##.#.##..#.#....#..##.#####..##..####.#
#..####.##.......#.#..#..#.#.#.##.##.##...###..#.##.#...######.#..#.#.#..###....#####..#.#.####.#...#..#..#..#.#.#..##.#....#.#.#.########.##.......#..#.##.##.#...##..##.##...###.##.##.##.#.###.##..#.##.##.#......#..#..#..#..##.....#.......#.#.###..#..#.#.#####.#..###.#.###...#.#.####.#.####.#.#...##.##...##..#....###.#...####.##.#.###.#.#.#..#.####...###..##..###.#..#..#.###.##.#.#......#####.....#.##...#.#.#.......#....#....#.#######.###..#..#.###.#..##..#.##.##.#..#.###..##.#.###...#.#.#.#.#....##..#...###.#..#.###..##.##.#...####.#...#..#.#.###.##...#.#..#..##..#####.##.#....#.#.##.#.#..###.####..#..##.#..#.#..##..#..#.#..##..###..#####..#####....#.#####.#.#..#.##..##.#########.#.#...#....###..#...#...#.#.#.#....#.###.##...#..##.####.###.###.#...#.##.###.#...##.#####........###.#.#..#..###..##.##..##..#.#.##....###.##....###....##.######.##.###.##.##..#....#....##.##..#####.####......#......##.#.####...####.####..#.##.####.#..##.####.#.....#...#.###.#####.#.#..##.#.####.....#####.##..#.#.##..##.#.#.#.#.#.....#####...#.#.####.......##.##.#..#####...#.###..#.....#.#..#.###.######.#.##.#...###....#..##...#..........##..#..###..#####..#.####.##...#.####.###......#..##..#.#..###...#.####.#....##.#..##...#.##...#.###.#.###.###.##..#...########.###........##..##.##.####...#...##########.#.#.#.#...####.#....###..#....####.##..##..#.#.##.#....#.#.###..##...###.#.#.#.###..#......##..##..###..####.....#....#..#..####.##...#...##.##.####.#....###....###......#....#..#.###...#...#...#...###.##.#####..####.##..##.#...#...##.#######.#...#.#......#..#.#.##....###.#.#.##.....###.#....##...####..##.#.#.######....#.###.#..####..#.###.......##...#..###.##.##.#...###.....####..##.....##..##.#...##..#...#..##.##...##.#.#.#..#.####......#######...#.#..###.....####.#.#..###...#.#..#.##.#.#.###..#.###.#..#..###.#..###.#..##.#..#..###.###.#.....##.#...####.#.#.#..#.#.#..#..##...#.#.####..##.#.#...#.#...##.#.#.##..####.#.###.#..#..###.....###..#.####.###.###.####..###.#.#.#.#...##.#######
###.#.#....########.###....########.#.#######.#.###.##.##.#####...####.###..##.##.#.###.####..#.#..####..#..####..##.#.##.##.###.#.#.#.#######.#...#.####.###..##.#.###.#.....##..###.###..#..#...#.#.##.#.####..............###..#.####.##..##...###.####.#.....####..#######.#.#..###..#..##...####..##.###..##..#.#.###.#.#.#####.##.##..#..#.....##....#.####.####...##....#.....#..##.#..##.##..#####...##...#.....##.##..###.#.#..#...###....###.##......#..##.##......#.#..#.##.#...###.#.#.......####.#..##.#...###.#.##..#.##.##..##.###...#...##.##..#.####.#.......###.#...#.#...##.##..#.##...#.#..##..###.#.#.#.###...##.##.#.#.#..###...#...##...#.#..###.####.##...##..#..#.....#.####..#....####..#......##.#####.#.###.######....#.#..###.#.#.##.##..###..####..#.###.###....#.....###.#.##.#..#.#.##..##..##.####.#.#.#.#.#####..##.#####.###.#..#...##.#####..###..#..##.##..##.##..####..###.##.##......#..#.#..####.#..##....#...##.##.##..#......###.##.#..#.###.#.##.#.#.....#..#####.##.#...#......##..#.#.###...#.#....##....#...#.#..#####.#.#.##.##..##.#####.....##.#..#.###..#..###.#.....#.##..#####......#.#.#...##.#..##......##..#...#....#.#.#####.###...#.###.###...#..#.##...#####.#.##.###.###..#..#######...######...#.#...#####.#.#.####.##.....##...##.#.###......#.....###..#.##........######..#.#...##.#.##.#..#.##..#.###.#....###..#.###.####....##....#.#.#..#.......#.#.#.####..##..#...###...#.###.######.....#..#.#..##...##..##..#######.#####...#####.###.#.#.#.##.#.#..#.######.#..#..#....#.##.###.##..##..#.#.####.####...#...##.#.....#...##.###..#####.#.#..#.####....#.###.######..#.#........######..##...##.#.......#..#####...####.###.....#####.#.#.#....##.#...##..#.#....#..........###.......##..##..#.######.###..##.....#.#.#.#.#.##..#...#.#..#.###.......#..#.#..#.#.##.#..#.###.####....#.#.##.#...#####..###...###.####.#.#.....####....##..#...##.#...#..###.#.#..##..##..#..##..##..###.#..####.##.##.##..#....##.#######.#.#..#.#..#.##.###.#.#.#..##....#..#.#.#####.######...#.#...####.#..##...####.
...#..##..#.##....#..##.#.....###.#..#.####.##.#...#.#.##.....#..###...#..##.####.#..##.##.#..##..##.##.#.########.#..#.....#..#..##.#..####...#####....#.##........##.####.#..#.#.#.##.###.#####..#...###.....#.####..#.######.###...###.###..##.#.##.#..##..###..####.#....#.#..#.#.###.###.#.#..#######.....##........#..#.##...#...#..##........#.#.###.###.######..#.#.##..##..#....##.##...#.##..##..####....##.....#.#####..#....#.##...#.#.#####.##..#..######...#..##.##.##...##..#..##.#######..#####...#.###.###..#.###.##..#.#..#..##.#..##.#.#.##.###..###......#...#..#.#.##.#..#..##..##..#...#.#...###.##.###.....#....#...#..##..####..#.######.#####..##..#..###...#..##.....#..######...##...#..##.#..#.#.#.....##.#..#.##.##..######....####.####.##........#..#.....######........##..##..#.#....##..##..##..##...#.########.#..#####.#...#.#.#...###.###.#......#..###.#.#..##.#.#.#.#.#...##..#.#..#..#.#.####.####......#.##.###.....#...#.###.#.#.#.#.##..#.####.#####.##.#.###.####.####....#....##.#.#.....#.#...##.#..#.###...#.#..#..##..#..#...#..##..#....#..#..##.####.####...#.###....##.#....#..#.#.#.##.#.###...####...#######.#######.#.#.#..#.#...###...##.#..##.#.#.#.#.#.....#..#.#..#..#.#.#######..##.##..#...####...##....#.##...###.#..#..##..##.#...#####...#####.##..###.#.######..#.#...#.##.###.#...#.#.#...#.##...#...####.#..#..#.##.##.##.##.#..#.##.##...#..##.....######.######.######..#.#.#.#.#.##.#.##..##..##..##.##..#...####.##..#.#....#.##.##.#............#.##..######.#..#.#...##...##...#..#.####.#..##..#..##..#.##....#..#..#......#.#..###....###.#..##.###......#.....###..##..##.#..###...#####.#.#..##.#.#.#..#.....###.##..#...##..#...##..#..##......#..##.##..####......##.#.##.###.....#.###..#.##..##.####...##..#.####..........#..#..#####..#...#..#.##..####..##.#.##.....##.#####.....#...#####..###.######..##..#.#.#....##.#.#.##..###.####....##..#.....######...#.###....#...#####.#.#.#..###..#.#...##.##....#..#.#.#..##..#.#..#.#######..##.###..#.#..##.#......#....###...##.......##..###
..#..####..###.##.#..####..#.#.##.##....#..#.###.#..##.##########..##..###.###...#.#...####.####....#..#.#.###..#.#.#..##.....#...###....###....###.##...##...#..#.######.######..#....#..#.#.#....#......#####.....##.#...####.#.#.#...##.##..#....####...#######..#.......##.##.#..###.#...#.#.########...#.##.######...###.....#.....##....#..###.#####...###.##...#.########..##.....###..#.###...###.......#.###...#.##..#..##...#.####.#.##.##.##.#..#.#.#...##.#.##.#.#.#.####..##..#...#######.#.#..#...#...#..#..##...#.#.#..#.######...##.#.#.....###.###..###....###.##..####..##..##.#####......#..###....#.##.#.#.#.##..#.#.##.###..#.##...#.#.#####.#..#.#......#..#.##..#.#.#.###......#.#.##.##.##.#.#.##....#..#..#..##...####.#..##...###..#..#######.#.#...####.....###....#..##.#...#....####.#.###.#.#####.#.##..#.#.#.###......#.#..##.##..##.....###..#.###.#.....####.#.#..#.##...##.#...#..#...#.##.##.#.##..#.#..###.##..#.#..##.#.##.##.#.#...#.##..###.#....###.#...##....###..#.####.##..#.####.###.#.##...#.#.###.#.#####..##.#.#.#..#.#..#...##..####.####.#..#.##..#######..#..#####.#......##..####..####.###.#.#........##.###...#.########..#.#####..#..#...#.....#.##.#.###.......#.##.#......####.#....####.##.##.......####.###..##.....#.##.#####....#..####.#.#.#..#.#####.##...##.##...#.#.#........#.#.#.#.####..##..#####.###.####....#.####...#.#..#########.....#..##..#.....#.##....#.###.#....#.####..#.#..##..##.####.#..###.#..#...##.##...###.##.##.##.##..#####.####.##....#..####...####.##..####..###.######.#....##..#..#####..#...####.####.##.#.#####....#..###..##...#.###..#####..###...#.##.#..#..#.....#.##.##......#.#...###....###..#...##.#.###...##...##....#..#...#..#.#........###..###.#...##.#########.##...#..#...#..##.....#.....#..##..##...#####.....###..#.#####.#..........###..####.#####......#.#.#...#.#####...##..#.#...#.##..###..###.#.#.#..##..#...#.#...###.#...##..##.###.##..#...##.......##.#####.###.#.....##.##.#.#.##...#.##..#.#..###.#.....###.##.##.....#...##.#.##..#.###..#####.###
.##...###...###.#....#.#...##.#.#................#...#.#.#...#..##..##..##..#.###.#..#####..#...#.#.#....#.#...#......#.#..#.#.#####.###.#.#.#.#...#.#.##..#..#.....#.......#...#.#......#.##...#...##...#######.###..##.#.#..####.#..##..#######..####.####.####.###..#.#####...##.#.#.##..#..#.#..#...##.##..#.#.##.##..#..####..#####.#.#...#####..#...####..#.#...##..##.#...##.#.#..##..#..#.##...#.......#.....#.#.#...#.#.#..#####.#......#####....##..###.###..##.##..#####.#..##..##..#.#...#####...#.##...#####..#.####..##.#..##.##.#.###..#.#.###.....##....#..#.....#..........#.#....#.####.#.#.##.#.##.#.###.####.#.#....#.#....#.#....##.#..#.#..#........###......#.#.#....###.#.#.#.#.#.....##..#.##.##.###.#..#..###.#..#.#..##.####.#.###.....##.#...##.##.....##.#.#.....###.#.#.##...##.#...#...##.##.#.#...#..#..###....##.##...#.#.#####.####..#.##.##....#.##..####.#######.###....##..#.#.#......#...#..##..###...#..####.####.##..###.#....#.##..#..##..#..#.#....###.#..#.#...##..###.###..#...#.##....#.#..####.##..#........####...##.#.##..#.##...#..#....###..####.#....######....#.#.##.##..##.####.##.#.#.####.#.#.###########..#..##....##..###.#.###.#.#......###.##.#..###.##.##..###.###.#.##.#.#..#.########...#.###..#.######..##.#.......#..#.#.#..#...#...####.##..#.##........#.....##........###...##..##...####.##.###...#.##....#.######.###.#.##...##.#....#.##..#..##..#....#....#.....#.##.#.###.#.##.#.#.###....###.###..##.##.#.#..###..##..#####..##...#..##..#####.#...##..##.#.###..#.############..##.#..#####.#...###.#..##...#.######....#..#..###....##.#.#.###...####.#####..###.##...##.##.##..#...##.....#..#...###..###......###.####.#....#..##.....#...###.#..##.######.##.....#####.....#.#..##.....#.##.#.##....##..#.###..#..#...#.#.#.##..#.#.#..###.##...#.####.#.#.##.#..#......##..#.######.#...####.#..#.#....##...###....###.###.#....#......##.#.#.###..#.#.#..#######...#.#...#####...#..###.#....#..#.#.##.###..##.#####.#..#####..###.#..#..#....#######.####.#...#.####...##.#.#.##..####.##.##..#
..#..#..#.##.##.#.#.###....#.......##....#.####..#..###.#.#.#..###.##...##..#######.###.###.#......###.#.##.#.....###....#.##..#..#..#.##.##......###.#..##..#..#.##..#.####.##.####..#.###..##########..#..#.#.###..###....##.#####.#...#..#....#.#.##...#.#.###...#.#..###..#.#....##.#..##.#.####.#..##...####.#......##.###...####.#.#...##.###.###...#.#..#.###...###.##.####.#.##########.##...#.##..##.#......#..##########.#.###.###.#....#...#..#..#.###.##.#.#....#.#..##.....##..###.#..#.#.#.#....####.###.##.........###.#.######.##....####.########.#..#.####.#####.#..###..#######.#..#.#......#..#.#####..#..##.##....###.#.#.##.#.#####.....#..##....####..#.#.#..###.......#.##.#.#####..#.#.##.#.#..##.#.###.##.#..#....#.##...###.........#..####...#..#...#.##.#####.#..#..##..##..#....####.#...###....##.#.##.#..##.#...###..#.##....##..##.###.#.#.####.....#.#.###..#.###...#..#.##....#.#.##.#####.##.##..#..#...#.##..#...####....#.#.#.###...#.....#....#...####.##.###...##..#.#####.###.##.#.###.##.########...#.....#..###....##..#.##.###.#.#....##.#..##.##.###..##......##.#.######.#.#...##...#.#.....#####..#.#..#.#.##...#...#....##..####.##.....####...##......#####...#.#...#..#####.##..####...##.##.##......#..#.##....##.##.#.#.....###.#.###..#.#.#.#...#####..##..#.#.#.###..#......###.#..#####.....#.#.####......#...#.#.######.##.####.#..####.#.##.....###.#.#..#....###...#.......####......#..##..####....##.##..###.##.###.#....#..#...#.##..#.#...####.#.#.##.#.##..#..#...#..#..##..#.####.#....#.####.####.##..#.#...######..###.#.##.#...##..#..#.###.##.#..##.#...#.###.######.##....##.####.##..#....#...##...##.###....#...#....#...####.#.#..##.#..#..#..#.#..###.##....#.########.#.#.#.####.....#.#...##.#...####.#.#.#.##.#.######..#.##.#..####..###.#..##.#.#.#..######.#.#.#.##...##.###..##.######.##...#....###...#...#####...######.####.#####...##.###.##..##.#.#.#.####.#.####..#.#.#.##...#.###..#.##.#.........##...#.###.....#...##.#.##..#..##..##....##.......###.###..###.#...##.###....#..####.#.
..###.#.#......####.#..####...####.#..##.##.#...#...#.#####.#############.#.#.....#..#.###...###.#.#..#..####..#..##......###...###.####.###..####.########..###.####.##....##...###..##.##.##.#.#.....#.####.####..#.##.#..#.#..###....#..#...#.#########..#.#..##.#..#.#..###.#.....#...#........##.#.....#####.####.####..#.#.##...#...#..#..#...##...#...#.######..#.##.#.#.#..#.....##..####.##.###..#..#..#..##..#.#..#..#.###.##...............##.##.#####..##..##.#..#.###.........#...##.###...#...##...##..#......#....##.###...#.###.....#..#....##.###..#..#.##..#.....##.###.##.#......#...#.#.#.##..##.###.####..#.##.#####....######.#..#.#......###..###..#...####.#..#.##.###...##.##....#.....##...#.#...#...#..#.#.#.....###.#.##...#.##..#....####...##.##..#.#.#.#..#####.##.#..##.#.#.###...##.....#.#.#..#####...#..#...#...##.#.#.##....#..#.##....##.#....#..#.##.###.....###..##..#.##...###.###.###..###.##..#.#.###.....##.....##.#..#.#...........##.#..#.#.#.##..##.#..####.##...#.##...#.##.##..##.##.##..######.####....##.####..##.##.#.########.#...##..#..##...#.##.###..#..####.##..#....#..##.#.##.#..#..##.#.##.#...#####..###...#.##...#.#......#...####..####.##..###.......#..#.#.#.##.####.#..##..#..#..##....#..##.####.#..#.##..###.#..###.###.#.###.#..##.##..##.#.##..#....#.###.####.##...##.#....#..#.#....##.#.##.#.####.##....#####...#####.#..#.#.#.###...#.#..#.#.#...####.#.#####...#.........#.#.###....####....#.##.#..##.####.#######....##.#..#..#..#.#...#######.##..#.###..###.#####...#...##.....#..#.#.#..###.##..##.##.##..#.#...##...##..##..#.##.##.#.#.#.#.#######.##.#.#...#.#...######..#.##...#..##.####.###.###.#######...#.#.##..#.......##.#.#####...#...##..#..#...#.....#..##.#...##..##.##.#...##...###..###.#######....##..#.#.##.#..####..###..####.....#....##.#.######.#....#.##...#..#.#.#.#....####..######...##.##...###..#.#.#.###...#####...#.##.####.####...##.#...##.#.......##..#..##..####.##.......##.##...##..#....##.#.###..#####......####.###...#...#.#.###..##..#..####...#..#..#..
....###.#########.......#..#.##.#..###....#...#.#..#.#.####..#####..#.#.#..#.......#.#...##....##..##..#...#.#####...##..##.#.###.##..##.####..#...#.....##...#..##....#.###.....##.#.##.##.##.#####.#...#.#..##..#.####..#...#.#.###.#..#.###...#...###..#...###.#.#..##.##...##.##..#.##...#.....#...#..####.#.######.##....####.#.#..#.#.###..#####...##..##.#..#.#....#...##..#.#.#.#......##.#.#.....##..#.###..##..#.##.####..#....#####..###.###.##.###.##.#..##.#....##.#.#.#.#....##..######.##..#.###.###.#..#.#....#.##.####..###..#.....##..##.#..#.##..#.......##.....####.#.#.#.####...#.#.....#..#####..#.#.......#.#.##....####.#..#.#.#...#...###.##...#..#.#.#.#.#.###..#..#..#.###...#.####...#..##...#....#...##.#.#.##..####.#...###.#..##########.#.##.##..#...##..###.#.#.##.####.####.#..#.###..#.##..###.#.#...#..#....####..#.##.#.###..#.##.##.#.#..##.#######..###.###.##.##.####..#......##....####...#####.......##.....###.#..##..####....#.##...##.#.#.##......#..###.##.#..#..##..#.####...#...##.....#.#....#.##.#.####..#.#..#.####..####.#..###...###...###.#.##..##.###..###.#.#####.....#..#..###..#.###.####...#..#.#..#...#...####..#.#.#.#..#.#..#...##.#.####..##.......###....##.#....##.##..##...#####........####....#...###.#...#..#..###..##.####..#.##.#...###.##.##.##..##.........#######...#####.##.....#######.##.####..###...##..##..##.#....#......##.#.#.#.##..#.#####.##..##..##.##..#.#..#.##........##.##.#..#.##.#...#.#..##..##....####....######.#.##..#.##..###.###...#..#..####..#####.#.######....#..###.###...#.##.##.##.......##.###.#..###.#.#...##..###.###.#.#.########.#.##.##.####..##.#..##...##..####.##..###....##..##...##.###....#..#.##.####.#..##...#..##.#.####...#.#.#......#..#..##...#.#..#....#..###.####..#...##.#.######..##.####..#....#...#...##.#.#..##.#...#..#.##.####.##.#..##.##.#..#.....#..#.....######.##..#.#..####...#####.###...##.........#.#.....#.#...###.####..##......#..#....#...##...#.##.#####.#..##....##.#...##.##..##.###.#...###.#.##..#######...#...##.#..###.###
.###.#....#######..####.#...#.##.#.##.###...##.###.....###.####.#...#..######.###.##....#..#....##.###..##..#####.#...##.##.##...##..#######..#.#.##......#...#.##...#####.#.##.#..##....##..#.#..#.###.###..#.#.#.#..##.#.##..##..#######..#..#..#####..##.#...###..#......#...#.#.#..######.##..##..####.###.#.##.#..##...#....#.##.#.##.#..#.#..#..#..#.#..#.##.#.###..##.#..#.....####.########.#.###...####.###..#...####.##.#.#...#.#.###...#.##.#....##..#...#.###.#..##..#####.#..##.##.##.#..#.#...#..##...##.#.#..##..###.####...#.#...#.##########.#.#..######...###.#.##...###......#...#...##.##...##.####...##......###.#..##.#.####.#.###.##..#...#..###.#.#...#####.#####.#..#..#.###.#.###..#.#..#..#........##.....#.#.#...####..###.##.###.##..#..######...##.......#.#..##...#....##......####.#..#.##.##..###....#..###.##....##...##...#..#.#..####.####.#.###.#.##...##.##.#.#.###..##...#...##.......####.#..##.##...##...#..#####..#..###.#####.##.#.##...##.#####.#..###.#.#.##.#.#.#...##.......#...##.#.##...#.#.#####.#...####....#...#...##.##.######.####.##.#......#..#..#....#.#.#..##.#..#....##.###..#....#...####.##...##..#..##..####..###...#..###.....##.##.#.##.#..##...####..#.#.########.############......##..#...###.#.#.....##...#.#...#.#..#..##########.###....##.#.....##.#.#.#.#######.##....#..###...#.#..#..######.##..###...#.####..#######..#####.#.##..#.#####..###.#.#....#......##..#..#...##..#.#.#####..##.####..###.#...##....#..#.#.#..#..#..####.#..#..####.#..####....#.##.##.####.#...###.##.........#.....#..#......#.#######.#.#....####.#.##.#.#..#..#.#...#...##...##.####.###.##.##.#.#...##...#...#.#######..#.##...#.#....####...########..#....##..#.#.##....#...#..#...#.#.#.#...###.#.#.#...####..#...#..##...#.#.#..##...###.#######.##.###..#####....##..#.####..#.#.#...#...#..#.##.##......###.##.#..#..###......##.#.####......#...#.....###..#.#.#.#......#....#...###.#####.##.#.#....#..#....##.##.#..##.#.#....##..##.#.##.###..##..##..##.##.###...##..##.#..#....#...#...####...##.#....####
#.....####.##.#..###....#..#.##.....#.#.##.#..##.##..#.#.##.###....#.##.#...#####.###.####.###.###.#.#..#.##.##..#.....#.#.#..##..##..#....####.....###..#.#..#..##.#..#.#....#...#.#......##..#.###.#.#...##.#.#.#.........##..#..#.####.......#..#####..#...#####...#####..#....####.###....#.####...##..#.###....#...##..##.##.#...#...#.#..#####....#.#..##.##......###.###.#...##....#.#.###.#.#.#.##.....#..####..##.####..#....##.####.####.##..####.###.#...#####..####..#.#...####...##.##...#..#.#####..#...###.#.#.###..####..#..#######.#.####..#...#.##..#####.#.###.#.####.####.#.#...##...#.###.#..##.#...##...#.#.##..#.####....#..#..###.#....###..#.....##.#.###..#..#.#.###.#.#..#...#.####.##.####.###...###.##..#..#..#.#..##...#####..####..#.#.#######....##.####.##....#...##..#.##...#.#..#...##....#....#.##....#.#.#.###.##..##..#....######..##.#.##.#.#..##..#.##.#....###.#..###...#####...#.#.#.#.###..#########.##.......#.##.##..##.#..#.#..#...#.##....#.#.#..##.#..#.#.#..##..#.##..........#.##...##..##.##..###.#.##.##...##..#.#.###.###.##..#.#...###.#..#..##.#....#.###....###..#....#...#.##.#....##......###.##..#.##.##.#.###..###......##....###.#.####.#########.##.#...#.###.##..####.#.#.#.######.#.#####..##.##..#.#.#.##.#.##..##.##.##.#.#.#..#..#.#######..#.##.#.....#.##.#.....###.#.#.#.####.####.#...###..#.#.....#..##..##.#.#..#..##.#.####.#.#.#.#..#...###.###..###.#.#.#.##..#####.#.######..##...#...#.####..#..#..##.##.#.#.#.....##.##.###.###.##..##....###.....#.#..#.###....#####...#.#....#.#####.####.##.#...#..#........##.###.#....#....####....#.#.#..#..#.#..#.##.###..##.#.#####.##..#.#..#..###..#.###.######...###.###.#.#.###.#.###...#.###..#..#.##.#.##.#..#.###.#.#.######.###.#...###..#.#..##..##.####.##..#...#.##.#..##.#...#...#...###.#.#.###.#.###......#...##.#.#..#.##....##.#.#.###.###.....###.##.###.......#.##..######.#.#..###.#.##...#..######..##...#.###..##...##.#..##.#.#.######..#####.##.#..##.###.#....#...##.###.#.##.###..#...#..#.#.#.###.#######.###.#..#######.....#.
...#..#####.#..###.###.##.....#.##.#.###...##.#.#...#.#..##....##.##.###..###..#..###.#.#.####..#.#.##..#..##.##.##...###..##........#############..##..##..#..#...#..#.#.###.#..#####....###.####......#..##.#....#########....#.##.#.#....#..##.######...#.#..##...#.#...#####......##.##..#.....##.##..#...##.#....#####......##...###...#...##.##.#.##.######...#.###..#.###.##.##...####..#....##.#..#..##..##.#.#..##.#.#.#...#.#..#......####.#####.###...##........###.#.#......##.#.#..###..#...#.####..##...##..#..#.#.###.....#.###.#.#....##.#.##..#.###..#....##...####.######.#..#..#.#.#..#..##..#..#..#.....#####.#..####..##.##...##..#..##..#...###.#.#.##..#..#.#..#.#.###..#.###..##.#.#..#.##.#..#...#.#....#...####.######..###.##....##..#....#..#..##.#.###.#...#..###...#.###...##...###.##......#.##...#.####..#..#..##..##.##..##.......#######.#...########.#.#.#.#.##.#.##.#.#.###.....##.##...#.####..##.#..#...#..#.#......##.####...##..##.#...##.##.######.#..##..#.#.##...#...#.#.###.##..#.#####.#..###.####.#.#..#...##.###.##...#....#..##..##.#...##...#.......###.#.##.####...#.....###....#...######.#..........#...#.####.#.##..###.#...#..#....###..#.#.##........#.#.#..##.######.####......####.##...####...#....#.##.#.#...#.###.#.##.####.#..##..#.#..######.##.##.....##.###.##.##..##...#..#.#.######..#.#.....##.##.####.###.#..#...####.##..#####..#..###.###...#######..#..######.#.....##..#..###..######..##..#.#.#....#.#.#.#..####..##.#.##.##..########.#..###########.#.##..#.##....#..##..#....#..##.##.#..###.#..#..#.#####..##..#.#.#..###.###..#..##..#..#...#.###...#...###.###.##########..#####..#...#.##..###.....#####..#....###.#.#.#.##.###...####.#...#..###....#.#####..###..#..###...#.#...#.#.#...#.###.##..###.#.#...##.#...###..#..##..###...#.###..#.##......#.#..#...#######....####.##..#..####.####...##.##.#####.####..##.##..#....#.#..##.##.##.#.##......#.######.##.#....#####.###..#......###.##.##.#...##.#..#..#.#####.....#.#.###..#..#..#..##..#.#.#..##.#....#..#.##.....#..#......###.#
....#.#..#.#..###.##......#..#.#.####..#....#####.#.###.##...#..#.#..#.##.....##.##.###....###....###.#######.#..#.###....##.##.#...#.#####..#...###.#..#.....#.##.##.###....#.##.#.##.....####..###.#..#...#....#....####..#.#..#...###.#..#..###..##.....#...##..##.##....#.#..#.#.#..#.###...###..#.#..#..#.#...##.#..##...#.##..#....#..##..#....#...#.#.####..#.##.####.#####.#.##..##..#.######.##.##.##..#..#..##.#...##...#..##..##.#.#..##.....##.####.#....#..#....##.##.##.#..#........###...#.#.###.#.#.##...#...#...#.####.#.....#..##....#.#......##.##..#.##..#.###.#.###.#...######.#####....#####..####.#.##..#######...#####.....###..#########.##.##..##...#..####..####.#.#.##..##.###......####.#...#...###.....#..######....#..#.#.#.#.##....#.#.....#..#...#...##.#.#.#.###...#.##.##.##.#.....####..#..#.##.#....#.##.##.##..######.####..##.##.....#.#.##.#.#..#....###.##..##.###..##.##...##....###.##.##...####.######.#.#...#........##...#......#.......###.###...#.#..#.#.#.....#.##.####..###..#..###.#...####.#....#...#...####..##.###.###.#.#..##.##..#.#...###.##.#...#####...#####.......###.##.#....##...###.##.#.###..##...####....##......####.#.#.##...##...###..#.#..####.....#...##.#..##...###....####.#.#..#.######.#..###....#...###...###.##..........##...###.###.##..####.#.#...###.##..#...###.#.#..###..#...##.####.##..#...#...#####...#..##.#..##..#.####.#.#..##..##..#....##.##.##..#..###.#..##.#....##.#.....#.#.##.#.........#...####.##..##.#.#.#.####.#.####.##....#..##.###..####.#.##....#..#......####..########...#####.#..##....#.##.#.##.#....###.##.#..#.####.##.#..#.#..##....#..###...#..#.#....#....##....#..##.##.####.####...##########.###..#.#.#..#...#.###..#.#.#.###.#...#.###..###.###.#..###..#####...#.###....###.#.....##.#..##..#..#####..##...##.#.###..####.####.#..##...#.##.##.#.#.###.##...#.##.#..#.#.##.........#..#...##.###...#.########.....#.#.##.##..#...###..####.#....#.#####..#......#....####....#####.#......#...#######....######..####..#..####...##.##...#...####.###.#...#
.##....##.##..##.#..#.#.#.......####.......##...######..#.....##.#.#####.#.#..###.#..#.#..##.###.###...#..###.###.###..####.#.....#.#..#.#####.###...#.##.####.#.#...#..#..##..#.#.#########.##..##.#...#....##....#.##........###......##...###.....####....###...###.####......#.##..##..#.####..##.#####..###.#...#.#.####.###.##.##.....#..#.....#.#...#......#....#..#.####.##.##.#..###..######.#####.##.###..##..##....#.###........#.#..###..####.#.##.#.#.###.######.##.##.###.#########.###...###.#.#.##.....#....#....#.#..##.#.#.#####.#.#.#..#.#..#.#..#...#.##.#.#..####.######..###........#####..#.##..#.#..###.###.#...#..##.#..###.##..#.#####.##.##....#.##.#.....#.###.#.#....#.####...#..#..##..#..##.#..#.##.#..#...###...#######.##.#..#.#.#..###....####...##.###..#..##...#.###.####.###..#.##.#....##.###...##########....#.##.##...####..#####...#...##...###.#..#.#.####.#...#.##.......#....#.#.###.#..#.##############..#.###..#...#..#..#.#####..#.##########..#..##.#...###.....##......#.##....#.##.#..#..#####.###.#...#.....####.#.#...#.....#.......#....###...#..###..##..###....#.######...#......#...#..#.#.##.####....#...##..#..#.#......#...#.##.#....###..#...#.###.######.##.#####.##.##....###...##.#.###.###..####.#.##....#####.####..#.####..##.###..#..###.#.....#.#####.#.#......#.#...####.##.##.##....#.....#.#.##.###..#......#.#..##..##......##.###.#.#....##..#..####..#..#..#..#.#...##...#.#..###.#...#..........##.#.#.#.##.##..#.#.##...##.##.#.#...#..#.#.##.##.#.#.#..##.....###.#.#.#....#.########.##.##.......#...####..###..#.##..#######.#.......##.#..##.#...#.##.......#.#.#..##.##.#.#..###.##.#.###.#....##.#####.#....#...######.#...#...#####.#.###..##.####..#.#.....##..####.#.....##.##.###.####...#.####.#...######.#.#.#.#..#..#...#..#..#.###.#####.#......###.#.....##...#....##.##.#.#....#...#.#####.#...###.###.##.###.####....#.#.##...####.#..#.#####..##..#####.#.##.###.###..##..#....#...#.##...#.....#######....##....###.###..##..##.#.#.#.####.##..##.##.#.....##..#.####.##...##....
##...#...###.###.#.##.#######.#.##..#..#.....#..#.##.##..#...#...#......#..#####...#...###.####..####.....###..#.#...######...#..#.#.#.#.##..####..#.##..##.##.##..##.#.#...#...#..##.###.###...#.####.#..##..###.##.#.#..#..#.#.###..#.#.#..#####........##..#.#...#.....#..#...###..##..#.#......#..#.####....#.##.#....##....####..#........#..###.##.##.####...##.##....##.#...###.##.###.###.##..##.#..#.#####.#.##..###..#...##.#.#.###...#.##.#..###...#..##.#..###..###.#....##.#.###.##...###..#.###...######.#..#.###......#...#.##.##.#..##..#.##.##.####.######...####..####.###.#...##..#.##....###.##..#..##..######..#.##.#.#..#.#.###..#...#....#..#.#..#.......##.##.###...#....#.#.#.#..##..#####.#....##.##.####.##.##.#.#####..#.#####.##...#.....####....###..#.###..###...####...#..###.###.#.###....##.###......#.########.##.##.#.#..#..#..#....#.##.##.##.#..........####....###....###...##.##..##.#.####.##..#.##.#.####.#.##..##.#.......#....#..#.##..##.###..#...##.#.###....#..###..#####.....#..###.#....#.###.#.##.###.#...#.##..##.#######.##.#.#.#.####......#..###.#..#.#..#..#.#.##..##..#.#####.##..#.#.#..#####....##..##..##.###.###.######.#..#..#.#.#######..##..#..#..#.#...##...###....##....###.......#.#.##.####.###..#####.#........###.#..#.##....#..#..##.......#..#.###.#...#...#####..###....#..####.####...##.#.#.####.##.##...####.#.#.....#...#####....####.##.#..#..###.#.#..####..#.#.##..###..#....##...#.###..#.......##..#.##..####...###.#...###...######.#.#.#.#####...###..#..##.###.......#.##.##.##.###....###...##...##....#.#..###.#....#####.##.###.#.##.###.##.###...####.#.##.######.#...###.#####.######.....##..#..#####.#.#.####.#....####.#.##........#.#.##.####...####.#..#...#..##.#....#..####.....####.#........#...#..#..#.##..###..#...#.##.#..#.#####.........#.##.##.#.##....###...###..#.##...#..####.#.#.#....#.#..#.##..##..#..##.#....#.##.#####.#..#.......#..##..#.#####....#......###.#.#..#.#####.#.#...##.##.#.#.#...#..###.#..#.....#.#..##..#.##.####..###.#.#.#....#.....#...###.#
#.#####..#.###.#.#####..##.###..###.####......#...#.#..#.###......##.....#####.#####.###.##.##.#.#...#.#......#.###...##..#.#...#.###..#....######......####.##.##.##.#.#####..#..#.#.##.#...##..#.#.#.#.####.#..#...#.#.####.#..#..##...##.######.#...##.#....###.#.#.##..#####.#.#.#....#.#.##.#.###.#.#######....#.#.......#..#...##...##....##.#..#....##...###..##.##.#....##.#...##.......#.#.#.#......#...####....########.#..##...#.#.#..###.#....####..##..##....#.####..#..##..###.#.#...###.##.##.......#..##.#...#..#...#...#.#..#.#.....#.##.#..####..#.##.####..#..##........#........#...##...#####.##....##.#.#####.#.#...........##.###...#.##.#..#.#...#..##....###..###.###..#..#.#.#.##...###.##..#..#..###.#..#.#...##..####....##....#.#.###.#.#.#..###...#.#..####..#..#.##......#...####.####....#.#.####..##.#...#..###....#........##..##..##...##..#.###.##.##.#.#...#.....#.#.#.#...#...#......###.###.##...#.#.##..#####..###..#.#.##..#.#...#...#.#.#.#..###.#.##..#..##..#...##.#....#...#.#.##..#...####.#.###...#..#.#..#.#..#..#...#.#.#.....###.#.#...##.#.....#####..#######....####.....####....#.....####..###.####.##..#.#.##..#..#.###.#.#.#....##.###.#.##......#.......#.##.#.#....######.....#.#.#...#.##.####....###..###..##..#..#.#.####.###....#..#.#.####.#.##.#..##......#.##..#..##..##...#....#..#.#.##..#..###.####.#...##.#...###.....###..###.#...###.##......#.#..##.####..#...#..#..##.#..###.##..###...##..#....#.#.##....##..#######..########.#..###.#...##.#...#..#..####......##.#..#...##...##....#.#.##.##.###....###..##..#...###..#..#..#.###.###...#....#.##.#...####.#.##..#.#....##.#.#..#.#....#.##..###.....######.####.....#.#####.##.#####..##....###.#..#..###.#####.##....##....##...###..##.#.##..##....##..###...##.#.#..###...##.....##.#.##.###.##..#..###.....#........#.##....###.....#.###.####..###....##.#.#..#....#...##...##.#..##..##.#..###...#.#.#.##.....###..###...#....###.#####.#.........####...##.#.#.##...#......#.##.#####..#.#####..#..#...####.#.#.#.############.#.#.#####.##
#........#.#...#.##.##...###.####.##.##.##..##.#..##.##.###..#.#.#...#.#.....#....#######..####.#.#...####.##.#.##......##..##.#.#####....##.##....#....#..#..##..#.#.#.#.#..#.#..##.#.###.####.#..#...#...###.#.#..#....##...#.#..####..#.##..##...#.#...#.#..##.##...#.#......##..###.#..#####..######.##.#######..#..##########...#.#.#....#..#.#......#.##.#.....#.#...##......#.#####.####.......#.....###..#.......#....##.#..###.#..#.##.####.##...###...#...####...###.###.##......###.###..###..##..##.#...#.#..#####.#####..#..#.......###.#......#.##.#.#.#.###....#..#..######.##..###..####...####...#....####.#.####.#...##.#.#.###..###.#..#..#.##.#.##.##...#.#####...#.......#....#.....#.#.##.........#.##.###..#...##.##.###..#.#.....##..###.#####.#..##..#..#...#..#.##..##..#...##.#......####......#.##..#..#.#.#.###.#..#.#.##.#.##..#..#.#.#.#.#.#....#.#...#####..##.#######.##.###.###.#...#..#...#..#.#.#.##.####..#.#..#.###.#.##..#.#.###..#.#.####.#.#.##.#.##.#...####.###..#..########..###..#.######.....##########....##...##.#.##.##.#.#..###.#.##.##.##..#######.##..##.#....###.#.#.##..###.#.#.##.#...#.#..#.##..##....##.##..#..#..##.#.####.####.#.#.#...#....###...#.#.####.######.#...###.#.#.#....#####.####.#.#...##.##.#.##.#....#.##.#.##...###.###.##..######.#.##.#..#.##.....##...#....##..#..#..##....###...#..##...######...#.#.#.###.##.###..####..##......###.#..##.#####.##..######......#.#..#.##.....##...####..#.#...#..###.###.....######..##.#..#.##.#.....#..###..###....##.##.######..#..##..##.###....#.##.##.#####.#.#.##.....#..###.#.#.#.###.######..###..#.#..##...#..#...#.####.#.#.##...#.....##...###......###.###....#..#..####..#####..#.##.#####..#.#.##..#.###.###..###....####..######..#.##..####....#.#...#.#.###.###........##.###..##....##.#.#..#...###...#####.#..##....#.#.....#....###.####.#####.....#...##...#...#.##..##.#...#.##..##...#####..##.##.##.##...###...#......#.##..#...##.#..#.......#.##.#...####...##.##.####..##..##...#...##...#.#.#..#.###...#.#.##.#.##.####.#.........
#.#.#.###.####..###......#..###.#.#...#.##.##..##..#.##.#.......#..##..#...#.##.##.#..#..##.##.#.#.....##..#...###..######.###.#..##..#....####...#.##..###..#...#..#..#..#.##..##.##.#.##..#.##.###.#####..##.##.##.##.#.##...#..#.#.##..#..#..#.##..#..####.#######.##..#..####...#.###......#.#.####.###..#.....#.###..##.####..#......###.#.####...#.#.###.#.######.#.#..#.#.........###.#...##.#.#.###.#..#####.#.#.##..#.#.##.###..#.....#...#.####..##.#.####..#.#.......##..##.#.#.##.#.#...##.#.#.##....###...##...#.#.....###.#.....#..#.######...##.###....#...###..#...##.####.#.#........#.#.#...#####..#####..##...#.#.##..#..####..##..###.#.##.#.#.....##...#.#..####.########...##..####..##..##...#.#..####.##..###.#..##..#..#.#.#.##.##.#.....#..#.#.##...###....#...###.#..#...###..####..#..#..###.#.#..######.##.#####..##.#...###..##......##.#..#...#.#####...#.#...#.#.#..#...#.#.#.#.##..#.#.#.#..###...#.#..##.#####.##...#...#####.#.###..#..##..####.##.###......######..#..#...#.#...##.#.##.#.###..####...#.....#.###....###.#..##.#....###.....###..####.####.######..###...#.##.#.#.#.##.#......###..#.#..##.###..##.#....#...#..#.#..#...#####..##.#........#...####.....#..###.#.#.##.#.###...........#..#...##.#...####.#..##.#####.#..##.#.#######.###..###...#...#.##..#......#..#.####...###..#...#..#.###.##...#...#.##.#...#######.###...#......#.....#######..#####..###...####.####..#.#.#.##..########....##...#.##..#.#...#..#..###.####..#.#...####.###.####.#.####....#........###.##...#....####.##.#.###...##...##.##.##.####..#..##.#..##..#.#...#...###.##.##.##.#......####.#.##..##.#.#.##..##.#.####..##....##....##..##..##.###....#..##.#.#..#..#.#.#.###.#####..##.######...#...#.#..##.#.#########...#####...#...###..##...#.####....##.##.#####.##..######..##..#####.#..#......###.###.#..###.#...####...#.####....#.#.##..###..#....###..#.##....#.#.##.#####..######.#.#.#..#.#.#......###.##....##.#.#.#..###..#.###.####.....###.####.#....#.#.#..#.####.#.#......####..#..####.#..#...#######.....#..##..##.##
###...####.##.##..#.#...#...###..####.####.##....#.##..#.#.....#...###.#.##.##.#.###...###.###.#..#.##..#..#.#...#.###.###...#..#....#.#####...#....####....#..#..###..##.#.#.#.#.#.#.##..##.#..##...#......##..##.###.....###.###...##.#.#####.#....#..#......#.#..#.#.#...###.#....###.#.###....##.###.#.###..#.######....#.###..#####.#..##..###.####.##......#...##..#..###.#......#.....##.##.#...##..###...#..#....#.#...####.##..#.#.###.##.#####.##....####..#....#.#.#...#.#..#######........#.#.##.#.##.###.##.###...#.##.#.######..#...##.#.##..##...###..#..#...#.#####.##.##.#.#.##.##...#.##.###..##..#####...#..#..#.#..#....##.#.....#..#####.####.#.#.#.##...##..#.....#.###.#.##.#####.##..#.##...#.####..#####....#.#..#..###..####.#####.####....#..#.###...##..##..##....##.#...###.#.###..#####...#...#..##..##...##..##...##...#######.##.##..#...#...##.####.........#.##......##...####..##.###.#..#.###....##.###.###.#.#.#####..###..#####.##..##..#..#.##.#.##......#.###..#..#..#......#..#..####....#.#.##...#.###..#..#.....#.######.##..###..######.......#..#.###.#..#.#......##..#.##.##.....#.#.##.##...#.####.##..###.#..##..#####....#..#.##.....#.####...######...##...#.#.#.#.#..##.##.#....#####..###.##..#..#######.#.##.##.##..#..######.#####...#.###..###..#####.##....##.##.#..#.#...#.###..####...#.#.....#.##########...##.#......#.#.##.######.#####.######..#....#.###..####.##.#...#..###....#####.#.#.#.#.####...###.##....##..#......###.#..#......#..##...#.#.#.#.#.#.##.#.##.#.###..#..#.#....#######...#.##.####..#...####.###..###.#.#.##.##...#...####..#.##.#...###..#...##..##.###.#.###..#.######...#.##..#...##...###.#.##..##...#....##...#.#..#..#.#.#.###......#.#.#..#.#.#...###.....#..##....##.#########......####.####..#.#.######......#.##.###.########..#.###.#..####.#####...####.#.#..#..#....#.##..#...#..###..#.##....#..##.#.#####.#..#.....##...####.###.#....####...#.#.#....##..#....##.########.##...###.##...######.....#####..##......##.#.##.#..######.####.#...###..###.#....##...##...#####
#.###....###.....###..#.......##..#...#.#.#...#####.##....#.....##...##..#.#..#.#.##.###.#.####........#........#####.#..#.#..#.##.##.#####..#.####..#...#..#.##.#####..##.#.###.###...##.#.#.#.....#....#...##.##.##.#.#.#.#####..#.##.##.####.###.###.#..#......#....#####....###......###.#..##..##..##.#..#....#####.#.#..####.#..##.##.#...#######..###..##.##...###...##..###....##....#.#..#..###.####.###..###....########.##.#..#.....#.#....##.#.#.#.###..###.###..##.#..#..##.#.##..#.###.#..#.#.#####....#......#.###########..###..#.#####....#..#....##..#....##.###....##.#.##.##..#....#..#..#..##..#..#...#...###.##...###..##..#####....##.#...#.......#.#.##...#..#..####.#.....#.#####.###.##..##..#..##.###.#...#....#.#.#..#....#...#.#.#.###.###..###......##...#...##.#.##...###.###.....#.#.####..####.#...###.#.#.####.###.#..#.#..#.##....#.....#..#.#.###......#....#......#..#.#...##..#.#.#####........#.#.#...##..#.##..#..#..###.###.....#...##........#.##.............###....#.#.....####...#.#..######..#..##..#.#.#.#..#...#.##...##..#.#.##.##.###..##..####....#.#.#...#.#########....#..##....#.#.###....#...######..###.###..##.#.#.#.#####.##...#..#..#....#.....###..##.#.######.#......##..#######.##.###..#.#.#..#.#.###..##..###.#..###.#.#.#..##.#..#.#.##.#.#.#.###..#####.####.#...####.##.####.....#..###...#.##..#####....#.#.#######.#..##..#.####..##....#.##..##..#...#.######.....#.###...#####.##.#.#..##..####.#.####...###..#####...######..##.#...#.#..##..#.#..#.#..##.##..#####..#....###.#.###.####.#.#.###.##.##....#.#.##....###.....#.####........##...##..#..#...##.#..##.##.#####.###...#.#...###...##.#####.##.#..#..#.....####..#.##..#..#..#...#####.#.......#...#.#.....#......#.#.###.###.......####...#.#.....####.#..##..##....##.##.##..#...#..#..#.##..###.#.....##..#..######.###....##########..#.#.###.##..##.#..#...#..#..#..#.#.##.##.##...####.#..#.....#...#####...###.#.....##.######.#...########.#...............#.#####.#####.####....###..###....#..#....#...###.......###..#####.#..####
#..#....###.####.#.#..#..###....#.#.#.#.#..#..#..#.##.#....#.....###..######...#......##..#...#.....##.#..#.#...##....##...##.#####...##.#.#.####..##.#..####..#.###..#######...#..#..##.####.....#####.##..##...#.....##..#.#.##.##.####.#..##.#.....#...#.....#..#.##..#...#.#.#.###.#..#...#.#.#.#....##...##.......#..##.##..#..#########..####...#.#.#.#..##.###...#.###.#..###.####..###.#.##..#..######.#.##..##..###.........#.####..###.#.##..##......#...#..###.#..##...#..#.#....#.#..#.##.##.....##.##.##.#####.#.##...#.#..#.###.###...#.....#....###.#....#..##....##.#.#.#...###...###.##...#.#..#.#########....####.#.#..#.##...##...#..#.#.########..##...###.##.###.##..##..##.#.##..#.......#...######..#...#....####...#...#.#..#.###....#.#.###..#.##.######........##..##...######..#.###.##..##.#.##...##.#.###.###.##.###.#..#######..#..####..#...##...#.##..#####..#...###.#.#..#..#..##.##.#.###.#..##.#.#..#.#......#.#.###.##....###.#..###.##.#.#######.##.##..##...######.#..#...##...##...####..##.#..####.#.#.##.##.#..#.#.##..........##.###.#...##.#.##.#..#..#########.#.####..#...####....###..##....#...#.....#.##.#.#....#..........#...#...##.##.##.####.#....##.#.#..#.##..#...#..###.#..##.#.#...#...#.##...#..#.#..###.#####.....####.#.#....#..#..#.#.##...###.#.#####...##...#..#.##...#.###....####...#.#...###...#...##..###.##...###..##..####.##.#..##.#..#.###.#.....#.##..#.########.####.###..#....##.#.#...######.#..#.#####.##..#..##.#...#...#..###.##........#...#.#.#....#.##.#.#######.##.#...###...#.##..###..###....##..###...#.#......#.#...#.#.#..##...#.###.###.#..#####...#.........#.##....#..###.####....#.##..#....###..##.##.######.#..#..#####.###.##.#.###.#.#.#..##.#########..#####...##.##..##.#..#.##...####....##.##..#.##.##.##.........#######....##....#..#.###.#.##.#.....######...###.#.###..###.######.###.###.#.####.#..##..##.......##.....#####..#..#..#.###....##..##.#.#.#....#..###.#..#.##..####....##.#..#.####.#.##....#####..###.##...#.##..#.##.####.###.#..#.####...##..#.#.###..#.
#.####.....#..##.#######......#.###...###.....#.#..#..##.##......####....#..#...###..#.##....#.#.#.####.########.#.#.#.#.#..#..##........#.#.###.#.##.###.###.##.#..#.#.#.#.......##########....#####..#..#..#....#.#..#.####..#.##.#..#..###.##.#...#.#..#.##..##..#..#.###..#..#..#....###...#.#.....#.###.##.#######.#####..###..###..#.##.##..##.#.##.#.###..###..#.#.#.#.########.#...##....##...##......###.#.#.####..###.....##..##..#.#.#.#..###.##.#..##...#.##.##.#.###...####.#..#..###.####.#..##..###....#.###..##...##..##........###...#...#.#..##...##.#.#.#.######.####...#..#.####.#....#####.......#.#..###..#.##..#..#...#.#..###..#####.#..#.#######.######....##....#...#####...#...#####..###..##..###...#.#.#.###......###.#...###..####....#.#.#####.#####..#..######...##.#....#....##...####......###.##..#.#.###.#....#.##.###..##...####..#.#.#.#.#.#.###...###..#.#.###......##.#..##....####.##..#.##..##.##..#...##..###.####.###.#..#..#..##..####.##..#......#...##.#...#..#.....###.##.##.######...###.#......#.###....#.##...#..##.#.#.#..#...#..##...###...#.......##.##.##..###..##.#.##.###.######.######.#.##.#.#...#.#.....#...#.#.##...###.##.#.##..#...##.....####..##.#.#.#.###.####.###.#.#.####.#.....#.#..#.......###.####...#.##.#.....#.##..#.###..#..#.#.##....####.##......#.#..#.##.##.#.#..###.##...#..#.#.#.#...##.##.#.####.#..##......#..#####.#..##......#...#.##.##.#..#.....####.###...##.###.##############.###.#####.####....#....####.....##.....#.###...#.....####.######.#.#.#.##.#..###...#.###..##.#..###...##.####.#...####.#.#....####......###.###.###.#.##..#..##...#.##.##.....##..#.#..#...#.#.####....#.###.#.#..#......#......##.#.#.#.....#.#.#...#.#.##...#...#.#.##.#.##...#.#..###.####.###...#..##..#...#..#.##..##.##..#.#.#.##..#..#..##...######...####..##.###..#.##.#...#.###..#..#...##.##.#.###..#...#.#..##...##.##..####...........#.#..#...##.#.#..#..#.##.#.#...#.#########..####.##.####.###.##..##..#...#.#.#.#....###..###..##..##.#.#.#..#...#.#...##.##.#.....###.#.###.##.#.....
..#.#.##.###.#.#..#.####.##.#...#...#..#..##....##.####.###.#.#..####....#.....#..#####.##..#..##..#####.....#..#.##...##...#..#.##.##.##.#..####.##.##.##......#.....#.###.#..#.#.....#..#####.##.##....#.#.#...##..##.#...##..####..#..#.###.#.#.#...#.#.######.#...##.#..#.##.#....##..#..#.#..##...#.....#.##.#..##...#.#.#####..#.#####.##..##.#.##..#...##..##...##.#.....###.#...#.####.#.##..###.####...########.#...#.######..##....##...##.##...######.#...####.#.##...##....#.......#.##..#...######..#...##.#.##....#.####..##.#.###..#.##.#..#..##.###....#..#..#..##..#....#...#....#.####..##..#..###.###...#...#.####.....##.##.#####......#...#####.#.###.....#.#..##...#..##.###..#..##.#.#.#.#......#..###......####...##.#..#..#####.#.#.##..#######.###.#.##..#.##.##.##...#.#####.#..###.#..####..#....##...##..#.#..##....#.#..#.##...########.#..#.#.#....#.....####.##..###........#..###..#.#..#####...#.....#..##.##..#.###...#.....##.#..#..##.##..#...##...#..##.######..#.####......#.####.#####.##.#..#.##.#####..##.#.#.##..###......#.##.##.##..####..##.......##.#...##...#.#....###.##.#.#.##.##...##.#.###.#..#...#..#.####.#.##...#.#...#..#..##.#.###.##.####.#.#...##...#.#.#...###..#..#.#.#.###.##..##..##..#....#.#.##.##.....#.#####..##.#..#####....#.#####..##...##..##..#.###...##..#...##..##...#.####.#.###.##..#########.##.####..######.###.##....###..###.##...##.#.##...#.##.#..##.#..#.#.##.##.#...###.#.#..####.#.#......#...#.###.#.....###.#.#.##..#....##...#..##....#.#####..##.##.##...#...#.#.###...#.###..##..##..#...........#.##.###..##.....#.#.#.########.#..#...##..#.#.#.##..#.#.##.#.##...#.##.....#.#...#...##.#..###.#.#.##..######....#.#.####.#.##.####.##..#.###.####..##.....###..#.##.#.##..##.##..#....#.##.#######.#.####..#.###..#.##.....#.#######...##.##....##.#.....#..##.#.#..#...##.#...#...#.#...#..#.....#.#..###..##...#........#.#..##.###.#..#...##..#.##.###...###....#..##.##...#.#..#.....####.##.#..###..#.##.#.##..#.#..##..###.#.##.#...#..#..#.#.#.#..##.########..#.#..##...###
....####...###.#.###..###.##.####......########...#.#.#...#.#.####.##.#..#.#.######.#......##....##.#####..#.#.........#.#######..###.##.#.####.###.##.####.#######....#..###.###...#....#.#.#....########..#..##....##.#.###.#.#.#...##.#.#.##.####...##.###....##..#.#..###..###..###.#...#.##.#.#.##.####..#.#...#.#..###.#.#....#...#..###...#..###.#.###.#....###.#.##..#.##.#.##...##...#.##....#.....#..#.#..##.....##.#.#....#......#..#.##.....##.###..#....##.####.##..##.#.....#.#....#.###.##..##...#..#.#.###.##.##..#....#.####.#.#.#.#.#.##.###....###.##...##..##..#.####.#.##.#######......#...#..##..#.....#..#.#..###.###.##.###.....#...#.#..#.##..#...#.##..#.......##.#...##.#.....###.#..###.#..####.#.#...#....###..#####..#.#.###.#.###..##...#.###.###..#..#.#.####.###.#.####.#....#.#.#...##....#....#..#####.##.#....###.####.#####..##.....#.####.#.#.###..#####...#.##..##..#.##.##.##.####...#..###.#.#####...#.##.##.###.##.##..###..#.###..#..#..##.##...#...#####.######.#.#..#.###.#.#....#..#.#...##.#..##..#.###...######.#.#.####...####...####.#.#..#.##.#....##.####.#..#..###....##...##.#..##..##..#..#.###....#..#.##.#..#.###..###.##.#...#..#..#..#######...##..#...#.#..##..#.#########..#....#..###..###....##.#...##..#.##..##..#.....#.#..##.####.#..##...#.##..#.##...#.#.#.....#.###...##.####.###.#.##..#.##....##..###.#.#####....#.#####..#..####..#....###....#.....#######....#....####...##..##.#.#..##....###...####......###..###.#.##...##..#...#.##.####.#####..#...##.#.#.#.###.#..###...###.##..##.###..##.###...##...#.#..#...#.###.##.#.##..###.#######.#.##...#.##...#.##.###..##.#...###....#..#.##..####..#..#..#.##...##.#..#.#####...###.#.#......##..###...##..#######...#.###.....#####.#####.#.####.#..#.#.#..#####..####...##..#....#####.#..#####.#####.##...#.#.#...#.#..###..####.#..###.#....#..#......##...#.###.###..###.#.####....#...##.##.#.###........###...##.#...##..###..######..#....##.##.......##.#...#..##.#.###.....####.......##...#.####......#...#.##.#..##.#..###.#####...###..
.#......#..#.##...#..#...#.####....#...#.#.#.#.#...#......#...#.#..##.#.#.#####.##....#..##.#.####.#...####..##.....##..#.#...#.#.#.#.###..#..####..#.#..#.####.##....#######.###..#.#.####..###...####..##..#...###...##.#.#.###.#.##.#..######.#.....####.##....#...##.##.#....#.##.##..###...#.###...#...##.......######.##.#.#.###.########.###..#.##..#..#.##.##.###.#.##.####....######.#.##########...#..#...###..#..###.##..#####...#.##.#....#.#....#..#.##.#...#..#...##.#...#..#####.##.#...#.#...#...#..#..###.####.#.#.#.#..###..##.####.#...#.#.##.#...#######.##.###..#.#....##.##.#.#.#....#####..#.##..########.#..##.....###.##......####.....####.####..#...##.###.##..###.#.###.###.##.#.#..#..##.#...###.#.#.###...#..##..#...#.#######..####.#.###...###.#####.##.##.##.###..##.##..#.#...##.####.##..###.#.##....###.##..####.####..#..#.#..#.#..#.#####.#...####.#..##.#.#.##.#.#.........#########...#.#.#..#...#..#####.#..#..##.##..##.##.###.#.##...#.#.###.#.##..###..#...#.########.####.#####..##.##....#.#..#..#....#....#..###...#.##..##.#.#...#....#.....#.#...##.##....##..#..###.......##....##.######....#.#..##.#..###.##..#....#....###..#..##.##..#.##.#####.##.###...###.#....#..##...#.....#.#.##..#..#.#.#.#.####.#....##..#.###.#..#.......##.#..#.##.##.#..#.###.#..###.#.#..####.......##.#.##...##.##.#####.########.##.##.#.#########.#..##.#.###.####.##..#.###...#..###..####....#..#..###..##.......####..#......###......#.#####..##...#.....#.###..#..#..#...#.....####....#.#..##.###......####.#.#..##...#####..######..#..#.#.#.###..#..#######.#...#....#####...#...####.#.######..#.#.#####.####.#...#.......#...#..##..#...#.#.#######.#.#.##..####..#...#.#..##...##.##.#.#.#.###....#####...##.#......#..#...##..##..#..#..#.##.##.#..#..#####..#####.#..###..#.##.##..#..###..###....#.###...##.###..#.###.##.#..###..#.#####.##..###..####..#####.##.#.#.#.##...#.#####.#####...######...#...##..#.#...#.##.#.###..##.#..####..#.#.#...##.###.#....##.#..##.#.......##...########.##....#..#....####.#...#...###
###..#.#....###...###.####..##.#.##.##.###.##.##.####..###.##.###.#.#######.####.#....#.##..##..##...####..#.#..#..###..#..##..#.##.#.....##.#...#...#...#.#..#.#...#...#.##.###.##.###..#..####...##..##..#..###..#.#....###..##.#.####...###.#.#.##.....#.##.##..###.##.##...#.#.#.#.#.#####.....#..#......#....#.###..#.##..#..##.....#.####..##.##.#.#...#.....#..##...#..#..###..######.#...###.##..#...#.#####.#.....##...#..####.#.#.#.#....##.#.#.###.####..#.#.###.#.#..##.###.#.#.#.#.#..###.##..#.##.##.#....##..#..#.###..###.####.#.#..#.#..#.#....##.#.###...#..####.......###......#..#.....##.###..###.#...###.#...##.##.##......##.######....#####.###.#.#..#.#..#.##.####..#.#..##..##....######.......#.#..#..#.###.#..##.#.#..#..#..#.###...#.#.##.#.##.#####.....##..##..#.##.###.#.#.##.#..######..##.#.####...##..#.##...###.###.##.##.#...#####..#.##...###.##.#...#..#....#...##...#######.##.##.#..##..##.##.#.#..###.#.####..#.....###.##.#.#..###..##....#.#.#.#..##.#.###.##...###.#...#..###.#####..#.#######....###..#......##..#..#####..##.......#####..###..#......##.####..#..###.####.###.#.....#..##.#....#..#####....#.###.###...##.#.##..#.#..##..###.##....##.....#.#...##...#.####....#.##.##.##.#..##..#.####.##.....###.....#.###..##.....######..##.####...##..#..#......##.#.#...###..#...##.#..#.###..#.#..#.#...#...#.#.####...#...#.....####.#.#.#..####.#..####.#.##.#..##.###....#..##.....##.#..#.....#######.#.#####....##.######..##.###..#...##.##...#.##....#.##.#.#..#.####..#.#####.###.###.##.#..##.#.###.##..###.#..#....#..####..###.##.........#......#.....#.########.#..##..##.#......##.....#.#....#..##.#.####..#.#.#..#.#..##..#...#...#.#.#.#.###...##.####.###.#.##.###.....#..##..#..######.#..##.####..##.#.#....#..#.##.#....##.#####....#.#.#..#..#.##.#..#####..#.#..##.#...#.....##...####.#..#...###.####..##.....###.#..####..#.#.#..##.#....####...##..#.##.#..##.###........##.##.###..####.#...#..#....#..####...###.#####..####....##........#...#..###..##.#...#.####..#####....##...##.#.#.#..
#..#...#.#....##.##...##.#..###..#....######..#.##.#.#..###.#....###.####....####.#...###.#..#.#.##.#####.##..###....##..######.......##.#..#.###......#...#..#.....#.#....###.##..####.........##..##.###.#.#.....##..##..##...#.#....##.#.####...#.#.###..##.#.##..#.#.##..##.....#.#.#..#..#.#######.#.#.#..#.##.#.#..##.#.###..####.##....#.##..#...#.##.......#..##..##...###..####...#..####.###.#.......#..#..#...#.##.########.###.#..###.#...###..##.#...#.#.#.###.#.###.###...#...#.#####....#..#.##.####.###.#.....##.#.#....#.#.###.###.#..###...#..#.###..#.##..#..#..#.#.#.#...#.##..#......#..##.#...#..#####.##.#.#.##.#.###...########.#.#..#...#......#.###...#.#.#..###.#...####..#.#.#..#.###.####..###..#########.##.#...#...#...#..####.....#.#.###..#.###.....###....##..##.###.#..#.##...#..#.##.##..#.#.#.###.#...##.#.#.#..##.###.#..#.##...#.#..##....###.###.##..#.#.####.#..#.##....###..#.........#..#.#..###.#.###..#......#.#.#..###.......#####...####.....#..###.#...#.#.#..#.#..##.###.#..#.#.##.#.....###..#..#.##..##.#.#..#..##..##.#......#..##.##.#...###...#..#..#...##.#....###..#.###....###.####..#.#####.###.#.####.#####..#..##..###...##..######...##.#.#.#.#.#....#..##....###..#.##.#.##..##.##....##..##..#..#####.#....##....###.###..#.######.#.#.###...#..#####.#.#.##.#.##...##..#####.#..#####...#.#.##.####.####.#...##.......#...#.##.##.#....####..####.###.#..#.##..#.###..#.#.###..#...#...##...##....####.##.#.#.###.###.##..#..##.......#.###.#..##....##.#.#.######...#.####..#.#...##..#..#.##.#..#....###..###....##.##.##.#.#.#..#####.#...#...#......#.##..#.#.#..#.#....####.#..#...##..##.##..#..#.###..######...#..##.##.##..####..##.#.#.#...#.#.#..#..#...#######...#######..#######...##..##.#.#......#..###.#.#..#.###.###.#.#..#.##...#.#.......###.##.#.##...##......##........##.#..#.#######...#..######.#...#......###.......###.###.##.#...##.#......#.#.##..###.###.#.#..##..##..#.#.#..##...#####.####..#.#....#.#.#####.####.#....#..#.##....##.#.#..#..#..####..#...#..##..###..#.#..##...##
#....##.#.#.......#.#....#.##..##......#.#####...#..#####.#..#.###.#..###..###..##.#.########..##.#.######.#.###.....##.##...#####...#.###.###...##..#..#.####.####..#.#.#....############.......##.#####.##.##..##.##...##..#..###..#.##.##..#..##.######.#.####.#.###..#.#.##.#...#.#..##.##.......########...#.#.#.....###.....#...#.#.##.##..###.......#.###...#....#.....#.##..##....#####..##.##.......##.##.#.#####.#.#..###....#.##..#...#....####..#...#.#..#..#..#.......#.#.##...#.##.#........#..#..#...#.##..#####.#..#.#.###.#.####..##...#..#.#...######.#..##.....#..######..##.#..##..#.#......####.#.#....#..####...####.##.##.#.#.#.###.##.##....#.##.#.##..#..#...#...##.##..#..##...##..#.###.##....##.#..#.###.......#.#.#####........#.##.####.#..###..##.#.....#####..#.###...###.##..#.##.....##.###.#.#.##...#.##.#.##...#.#.....##..#....#.#.#.#.#..#.#...........#.##.##.......#...#.....#.#.###.##....##.#.#.######...#####.#.#...##..#.#.....####.###...###..#..#.#..#.#..#.....#.#....##........#...###.##..#.#.#.#.#.#..#.###.#...#...#.####.#..##....###..#.##..#.#.#.#..##...#.##.#.###.###....##..####.#.###..###.###########.#.#.#.##..#...#.#...#..#......#.#.#.###.....##..#######..######.....###....#.##.##..#.##########.#......###..#..#.....####.##...#..####...##.####......###...######..##.####...####.####...#.##.##..##..#.......#####.#.####...##.#.##.##....#....###....###.#.#..##.#.#..###.##...#.###.##.#..###..#..#...###.#.##..#.#.#..##.##.#..##.##..####.....#.#.#.###.#...###..#...##.....####...#.#..##..##..##......##...#..#...#.#..###.......##...###...#..#.....###....##..##.......#.#.....#.##.#.#....#######.#####..#..#...#.###......###..#..##...#.#..#..##..#.#.###..#...#####.#.#.####.####..###.#..#.##.##.##.##.##.#.....#####.#####...##.###.##..#.####...######..##..######.#..##..##...##.#....#.###...#.##.##.###.#.####.#....####...########.#.#.##.##.######.######.##..##.###.##..#..###.#.##..#...#..##...#.##..#....#...###.##....##.........##..#####..#.#.#..#.#####...#...##.####.#.###..###
#.#.##.###..####.####....#..##...#..##.#.#..#.#...######.#..#.##......#####.....#..#...##...#######.###.####.#.#..###..#.##.#.#..##...##.######...#..####...#######.###....##.##.#.##.###.####..###.#####..##.#.#.###.###.#.#..#..###.#..#..#.#.#...#.##.#..##.##...##...#..#..##..#####...####.#..#.###....####..#.###.##.#..##.##..#.#.##.#...###..##.#####..#.#.#.###.##..###.#.#.####..#####..#######.##.######...######.#.###.#.#...#...##.#..#...###..##.#.#.##..####.#.#..#.##.###.#.#####.####.##..###.#...#.#####..##.........##..#.#.##.###.#.#.####......#.#..#.....#......##.......##.#.##.#####.###.###..#.#.######.###.##.##..#.....#....#....#####.#.#.##...#...###..####..##...#.#.#..#####.####..###...###..#...###.....#..##.##..##..##.#..##...#.#.####..##.##.#.#....#.#..#.#.##......#..##....##..#..##.#..#...####.######...#.#.#....#.###..#...#..###.##...#.#.#..##.#..#.#.###..#............#..##.#..#.#.##.#...####.#.#......#...#...###..##..........#......#.###.##.###....#.....###.....##..#...###..#######..#.#.#.#.###.######.######......#####.##..##.#.##....##.#.#.#####.#.#.##....##...##....###...###.##.#...#####.##.#.##.#...###...#.##.####..#....##.......#.#.....#..#...#...###.#..#.#...#..#.#..###.#..#...#.#..#..###....##........#.#...#..#.......#...#######..##.##..##.#...###..#..#..###.###..##.#.#.##..#.#..#.##......##.#..##..#...#...#..##.#.#.##.##...##.######...##.#..###.###...##..####.#..#.....##..##.#.#.#...#.....#........#..##..#..#..###..#......#..####...##.#######...####..###..####.###.#...#.##.##.....##.#.##...##.##.##..###..#..##.#.#.#.###....#.###....#.##.##.#.#..###.####..###.#.##.#...##.....##.#.#.#.#.#....#.##...#####.#.#.##.###.....#..######......##..#...##..#.#..###...###....#.#.#####..###.###.#..##.##.#####...##.##.##.##...#.#.#....##..#.#.###....###...##....#..#..#######...#.#.##.##.###.##..#...###..#####..#.#.....##.##...###....###.#.#.#...#######..###.##...##..###.##......####.....#..##...#..##..####.#.#...###.##.#.#..#.###..##..###.#..##...#..#..###..#..####.#.##
#...............##.#...#...#.#.####.#.###.....####..#..####.#....#...##..###.......#.##.#.##..##.#####..#...#..#.#......###..###..##....#.##..##.#...###.###...##..#.####.####...#.##.#.#...#..##...##..##.#...##........###...#.#...#####.####..#.....###.######.#..#.........####..#.#.#.#.###.##..##.##.##..#.#.....#####..####.###.#..##.#.#.##..##.#.##.....####......#..##.####....##...#.###.#..#.#.#..######..#.##..#.#.####..#.....#.#.##.#...#...##.#.###.####.....####..#######.#.###..#######...#.#.##..##.#.######...#.##.#..##......###.....##...#.#..........#..#.#.#..###.##.....##.###..#...##....##....#.....##.#.#...#.#.####.#.####.##......##..#.#..#...#..#....#.###..###.#..#.....##.#.##.##..#......##....#.####...#..##...#..#.###....#.#.##..######....#.###..####.#..##....#.####.##...#..#.#####..###..#.#..#.#####......###......#.#.#..#...#.......##.#####.#.#..#.##.......##.##.####.#.####..###....#######....#..#....##....#####...###..#...#.##...#.#..########...#..#.###.....##.#..#######...#.##...####.##.#####..#.###...#.#..#.#...###....##.####.#...##.....#..##.#....#...#.#.###.....#...#..#......##..##.###.###.###.##.######...####.######...#.#.#...#.####..###.#..#...######..#.####.#.##.###...##.#.....#.####...##.######.#.#.#.#.###..#..##..#####.#.#..####.#####.##..###.##.#..####...#..#####.##...#...#...#.###.........###...##...##.#.#.###.....#...###...#..##.#####..#.##.##....##..####.###.##########..#.#.#..#.#...#.##...##..##..#..#.....###.##...##..#....#..#....#...#.......##.###.#.#...#.....##.##.#.##..##.####...#..##.####....##.##..#..#..##..#....#.#.##..#....#.######.#.#########.#..####.###..##..##..####.##..#........##.....####.#..####.####....###.####.#..####..#.#...####.#..#..##..##.#.###.#.#####......###.##.###.#.##...#.##.##.##.##.#.###.###..####.#.#.#....##..#..####..###.###....##...####.##.#.#...#..##.....#.#..#....#######..#....###.##..#.###...#..#..#.###.####.###..#....###.#.#....#...##...#####.#.#.###...####.#.##...#.#.###.#..##..#......####..#.##...##.#.###...##.
###..##....#..##.##.##..###.########.##..##..##...##..#..#.##....#....#####.#.#.##...#...##.#.##.#####.#....#.#..##.#..#.#.##.#....##.#.#..#..###...#..##...###..#...#..####.##############..##..##..#...###.##.#....#..###..#..####..####...########...#.#..##.###..#....#.#####.#...#.....#...#..##...#..#.#.#..#..###.###.......##.#.#.####..#.#...##.#...##.###.#..#.#.#.##.##......##.#.#.#.#.##.#..#...#.#.#.#..#####..#...#.#.#.#.#.##....#######..#...#.####....##.#.###..#...#...#.######.#.###....#...######.#..##......##.........##.##.#.##.#.#.###.#.#####.##..###..###.#.....#...#..#.####.###....#.#.#..####.#....##.#.#.#.##......#...#..#########..#.#..#...#...#.#.####.#.#.####.#..#.#..##..#####.##....####.#####.###...#.####...#####...#..##.####.##....##.....#..#.....###.####...##.......#....##..#.##...######.#..##......#..#.##.#....#..#...#....####..#####...###.#.#..##...###.####..#.......##.###.###..###..#..#####.###.##..###...#...####...#####...###.###.##.#..#..#...#.#..#...#.######....#.###...######.###..######.#...##........#......###..#...##.##.##..##.####.##...#.#..##.####...###......#.#.#.####.#...##.####...#...#.#..#.##.#...##.##......##..##.....##.#####.##...#...#.####...#...#.######.#....##.######....##..##.#..#####...#.##...##...#.#..#.#.#######.#.#.#.#..#.#..##....#....###..#..#.##.##..##.#.#.##.##..###..##..###..###.#####...#.#.#.#.##.#...#.#.#.#.#.#..##..######.###...#.##.##..#####..#.###....#.#.###.####.####....#######.##.##.#.##.#..#.#.###....##.##.#..#...#...#.#.#.#....#.##..#..###.##..#.##..#....##.#.#...###.##..#.....#..##.##.##.#...####.....#.####.#.###.#.#####.#..#####.....#.#......#.##.#.#####.###.#.#..##...##...#....#...#.##.##.#..#.######..#.##.####.#......#...####..##.#.##.##.#..##.###..#.###..#.###..###..###.....#.#...#...#..#.##.#...#..#.#.###.##.#.##.###..#.####.#..####.##.#.####.##..#..#.##.###.###..##.##.#.....##..###..##...#..#...##.....#####...##.#.##.#.##.#.#..#..##.##.........##.#..#######.#.#.#..#...#..##.#.##..##.....#.....#.##...#......####
#####.##..##.##.####.####.#..####.#..#.#.#.##..##.##....######..##.#..##...##..###.#..###.#...###.#####.#.#.#.#..##..#..#..###.#..###...##.#####..#.##.#.##.##.##.#.#....#..#.#..#.#.#...##..#.##.###....#########.###.#......###.###..##..###.##........##..###.....##.##...#.##.###.#....##.######.#.#.....##..#.######......#.#.#.###....#####.##.#......#.#.#...####.#.#.#.####.####.##.##.#...##.##.....###.#.#...#...#.....####.####.#....#.##.#.###.##.###.##....#.#...##.#....##.#..####..#.#.###...#.##.....#####..####.#.#....##......##...##....#...###.#.###########.##..#.#.##.#.#..#.##.#.##..#.##.##..#..##...##.##.###.#..#.###.#..##..#....#..#..#..#####..##.........##..#.###...##.#.##......###...##....###...##.####.##.#....##...#....#..##.#.####.#...#...#..##.###....#..#.########..#####..#.#.#....###...#..#.##..#.#.####....##.######.#####..#..#.##..#.##.##.#...#.##....#....#...#.#.###.####..#.#.........#.#.#####...#...##..######...#####.#####.#.##...#.##....#...##..###.#..##.###.###...#..#.#.####..##......#..#....##...#.####...#..###.#..#...#.#.#.##..#..#..########.###...#.##..##...##..#....###.##.#########.##..#.##...###..#..###..###...##.##..##.#####.....##.###....#.#....##...##....###..#.#.#...####....##.##..#..##.##.###.##.##.#####.#..##.##...#####....##.....#..#.#..##..#...#.#..#.#..#.#...##...###.####...##..##.####....#.#.....#.......###.#..##.#.#.##.##.#.....##..##..##.##.#...##..#.#..#.#.###.####.#..##.###..#........####.##.#...#..#.##.#..#.#..##.######......####..#.###.###...#...#..#.#....#..#.##.###....#...###...#....##...#.#.....##.#......#..#.#....####...##.#.###..#.#.#.####..#........#.#...#.#.#.##.#.##..###.###.###..####.#.##.####.#.#.##..#.###.##.##.#.#..###......#...#....#....#.##..###.##........#.##..##...##............#.#....#.#..#...####...##.....#.#....#.##.#.#...#..#..#.##.##.##.####..##...#.####.####.#.#..##.........#.##...#.####........#.##....###...#....##.#.##.#........##.##...#...#..##..#..#..##.#.....#...#.#..###.#....#.##...##.#.#.........###..#.###
...#....#....#.#.#..#.#..#.###..#..#...##..##.##..####..##.#.#..##...#...#....#..###.##.#.##..##.#.##...##.##.###.###.#.#.##.##...######..#...........#.##.#.#.###..#...#.....##..###..#.#...###..#..###..##.##.###..#.###..#..#.#.###..##....######.#####.#...#......#..##.#...###..#.###.#..###...#######.#####......###.#.##.......##..#.#...##.#....#.##.##.##...#####..#..##..#.##.##...#####.######..#.#.##...#.#.##.#.#.#..##..#.##....##....#..###.##.#.#.....#.##..###......#....###.##...##.#...#####.#.#.###.###..##.....###...#.#.#..##....#.##..#..###....##...####.###.##..#.####..#.######..#.#.###.##.###.##....#..#####.######.#..###..#...##...#.##....#..#..#..####.#####..#..##.#####.#..####......#.#.#...#####.####.#.#.#.#..#.###.##...##...###.#..######..####...#......##..#.#..#.#..#....#.##.#.####.##..##..#...#..#.#.##.####.##.#.###.##.#.##.#...#.####.#...#.###.#..#..#..#####.#.....###.##..#.####..##..#.#####.....#.########..#...###..##.#.####...####.#.##.###.##.#####....#..##.#...#..#..#...##.#..###.#..#....#.#..###..#..#.####.#..#..#####..#....###.#.##....#.#.##...#...##.#.#.#.###..###..########...##.#....###..###..#.###.#..##.##..###.##.##..#......#.####...###..##.#..##..#....#..######...##.#.....#####..###.###.##.#.#.##.#.#...#.#....#.....##..###.#.#....##.######.#..#.#..##.##..#.#...##.......######.###..#.########..########.#.#.##...#...####..#####...#.....####......#...##.#..#.###..#.#...#...#.####.......#..#..#......##.###...#.#.###..###...##...#.##....##.##..###.....##.####.#.#.##..#.##.#.#.#.###..#.##...#..##.#...######.##.#.###.######..####..#.#..##.#..#.#####..#...#...####.#.#.#...####.#####.###.....####..#...#.######.###.#..##...##...#.####...###.###.##...#####.#.##...##..###....##.###.#####..#.##..##.....##.#.##.##........#..#####..##.#..##..#.##.##.#.#######.......######.#.###..#.###.###.##....##.###.#..##.#.##.....#..#.#.####.#.#.###.####.#..##.#......#..#....####..#...##..#..####..#.#####..##.#.##..#.#.###..#..#.##..##.#.###.############..###.#.#..#.#..####.#.
.#..#####..#..#.#.#.....##..###...#...#.#.#.#.####.#.##....#.....#.#.....#.######..###...##.#...###.###.....##..#.####.#.#.#.#.###.##.#.#.####.#.##.#....#.####..##..#.####.##.#..#..#..#..##....##..#..#####..##.#....##......###...###.#......####.#.#.##..#.####.....#....##..##.##.####....#.#.##.#....#.#####...####.#.#.#..##.##.#...##..#..#...####.#..##.###..##....#.##.#...#..####.###.#..#.#.#..##.#####....#...##..##.....#.#....######.#..#####..##.#.......#..#########......###.#.####..###.#####...##.##.#..##.#.##.###.....#####.###....#.##.##.##......#..##.##.###.#...#.#.#.#.#..#...#.####.#.#.####.#..#.#####...####.#..##.....##...#.......#..##..#.####.##..####..#....#.....#.##..###...#.#.###.###..#...#...#..#.###.......##..#......###.#.##.##.#.##...#..#.##.#.####.#.######..#.#.###..#..###.#.##......#.#.#.######.#..#..###..###.......##.....#..##....#..#.....#...##..##......####.####....###.###.....##.#.#...#.##....#.#.##..#..#..####.#.#####.....##.##.#....###...###..###.#..#.#.#...#....#.##..#...#.#.#.....#..#.##..#####.#.#.#.##...###....###.#####..##..##..##....##.#..#..##.##...####....#.#.##.###..#..#.....###.#..#..##.##.#.##....#####..#..###..##.#..######.#.#..####..##.#..##.#..#......#..######..#..####..##.#..#..#...####..##...###.#.####..#.###.##.#....#.######..##..####.#......###.....#..#..##.#.....#..##.####.##....####....#..##.#.#.###.......####.#...##.....##.#.#.#...#..#.#.#####..#####...####...##..##.#.#..#.#####....#.#.....##....#.#..##.############.########..#.#.#.#..#.##.###.#.....###..####.#.##..##.##....##.###.##....#...#....#.###..##.#....#####...#........##...#..##.#.#.####..#..######..#....######...##..##.#.#..#...###...#.######...#.###....#.######.###.#..#.##.#.##....#.###..##.#.#.###.##...####.#.###..........#...#.#....###..#.#..#####..######.##.#.###...#.....#..#.##.#.####.###.#...####...#.....#.###.#.#.#....#.##......###.##.####.##...#....###.#.#..###..#.#...#.##...##.####.#....#.#.#.####..##.#.####.#.#.#......##.#..#.###.###...###.#.#...###.###..##
.#.##.....##..#..#..#...#.#.####...####.#######.####....#..#.......###.####.#######.##.##.#####..##.####...##...#....###..##..#.##..#.#..####.#.##.....##.##..##...#....#####....#.###.##..#.#.#.#####..##.........##..#...###.##.##.####.......###...##..##..##..#..####.#..#####.##.#.....#.##....###..##.#...#.#.........##..##.#.#......#...###....#.#.#......##.#.##...###..##.##......#.#...###...#.###...###.#...#.#...##....###..#......##...###..#...##.#.##.....####..##.##.##...##..#.#..#..##..####....#.##.#.###.#.#.##..#...#..#.#..#.#..#.#...#..##...#.#...###.....#..####...#...#.##...#.####..#..####..#..#.###..#.##.#..##...#.#...##.#.##...##..#..##.###.#####.##...#####.#....###.#######.#.#..###..#####..#.###.....#####..#####..#.#####.....##.#.#....#.##.######.#..####.###..#...#.####...#.#..###.#..#.####.###...#.#.....#.###.##.#..###.####.#....##.####...#...........#.....#######.##...#.#.#####...#.##.####.#..###.##..##..#.#.#.#####.#..#...##.##.....#..#.#...#.#..#...#.##..###...##.###.#..#...#.###..#.##...###.##..###..#.#......##.######.#..####..##....#...####..##.#.#.##...#.#.....#.##...#.#####..#...##...#...##.#....#.###.#..#.#..###....#.###.#.#.#..####...#.#...#.####..##.##.######.#..#####.#.##.##...#.#..#..##...##.#..#.##.###...#..##..#.##...##...#..##.###.##.#...#.####..#####...#.##.#...#####...#........#.#..###.##..####.#...####..#.#.##..#..#.#..####..####.....##..#.#.#####..##...#.#...#..#.#.###...##...##....###...##.#.##.........###..####.#...#####.......####.#######..#.##..####..##...#.....#...#####.###...####...#...#.##.#..###.#.#....#.#.###.##....#####.#.#.#.##.######..#######..##...#....##..#..########.##.#.######..##..#.#...##....#..##.#.#.#.#.#....#...#.##.#....##..####..##..#.###...####......####.#.#####.##...#...#.####.##.....#.#######..######.#..##..#..#....#...####..#....#####.####.#..#....#...###..#.##.#.#.#.#.#.#..###.##...#.####.#.#.......######.##.###.##.#..#...####.#...###...###..####.#..######...#....####.#..##.##.#....#.#.##..#####..#...#.###...##.#
.#..#...#.#.#..#.###..##.##...#####.#.#####.#..##..#..#...#...###..##..#....#.#.######....####..#.######..###..#.#..###....##.#.#...#..#..#...##..########.##.###.#....#.###..###.#..#...##.#.##.#.####.#.####.#.###.##..#..#....#.###.#....##....#.#.##....#.#..##.#..###.#....##..#..#.####.....#.#.#.#.###.......###.###...#######.#....##...##.##...#..#.....###........##.##.##..#.####.....#.#....##.#.##..#.#######.###...###.#.#..#.#...##.####.#..#.##.###..#....#....#....##.####.##...#...##...###.##.....#.##.#...#...##.#.....#...#.##.....###...##.#..#.........##.##.#.####.##..#####.###.#..#.....#.#..###...#..#..#####.##.......##.#..#####...###...##..####..##.#.##.#.####...##..####.##..#..#..#.##.##.##.#####..##.#....#..###.#.####.#..##.####.#..#.#.##.#.##.######.#..#..##.##.##....#####..##..#...########.#.##.#.#..#.#..##.#...####.....###.######.###........##.#.###....##.#..#.###..###.#..##.....##..#....##.##.###.###.#.##.##.##.#.##.#.###.###...####...#...##.#..##...#.#.#.#......#..###..##....##...##..###..##......##.##...#..####.#....#.###.##...###.#..##.#.....##.#....####..#.#.#.###.#.#.#.#.#..##..#..##..#......#..#.#.###..#.#.#.#...#...#.#..#.####.##..#.#.##.######.#.#...#.###.#..#..######..###.#..#..####..#...#..#..##..#.#.##..####.##.##.#.#.#.#..###..###.#.#.#.#..#.#.#.###..##.#.#.###.##.#.#..#####..###.#......#......##......#..#.##.#.##.#.######..##.#.##.##########.#....########...#.##.#...#.......#####....#.##.##..##.#..#...###.#####.#.#..##...#.#....##..#.#.....####.#...#...##.#..#.#..#........#..######.#.#.#.#.##.###.#..####.##.###.#..###.###.###.#.##.##....##.##.#.....#..##....#.#.##..#..#...##.....#.#...##########.#...#.##....#.###..#..#.#.#..##....##...#.######.#..#....###.###.#..#.#..####.#...###....###...#..##.#....###...#.#.##.##.##...##..#.#.#####.##.#..#....#####...#....#.#...#..#...###.##.#.#...##...#.###.###########...#..#.#.#..........#####....#.#.##....##.#.##..##.#.#...####.###....##..###.##.#.#....#.##.#...###....##.##..###.#....#.#.##..##....#.#...##.
.#.....###.#..####..##.##.#...##.#..#...#####....##...##....###.##.##.#.#.##..#######.#..#......###..##.##.#..##.#.#.###...##.###..#.####.##..#.#.#......#.#..#....####..#.##..#..###..###...#...#.#.##.##...#####....#..##.#.....#####.###....#.....#......####.#.#########..##.#.######..##.#..###.#.#.###..##...#..##.#.#####..###.##.##.#########.##...#.##.##..#....#...#.###.#...######.#.....#....###...###.#####.##..#....####....#.##.##.#.###...#.##.#.##..###.##..#.##...#.#........####..##..#.###.####...#.##..######.#..##....#.##.####..##..###.#..#..#...#.##..##.######.###...#.###...#..#.#.#.###.##......#.........###.#.#.#.#.##.#####.#..####....##.###.#######...#.##..#.#.#..####.#..##..##......##.##.##...#.#..#..#.###..#.#..#....#######...#...#.##......##.#.##.........#.#.#...#..###....#.##.##.##..#.#......#..######..##.##..##.###.##.#.##...####..####.....##...#.##.....#..#.....#....#......#...#.##..#..#...###.##.###...##.###.....######.###.###....#..#..#.#..#..#....#.#.#.###.....#......#..#.#..##.#.#...###.###..####..#.####.##..#...##.##.##....#.#.##......#######...##.#####.#########..#.#.#######.#....#....##..#.##.##...####.##....#.#..#.#.##.#.....##..##.#..#.##.#.##..###..##.#..###.##.##.##..#.##.###.#...#..#.#....#..#.##..#....#..#.####.#..#.#.##.......##.#..##...#.#######.#.....##..#...#..###..###......###.#.#....#####.#..###.#..##.##....##.##....##...#......#.#.####...##..#..##.#.###.#.##.##.#.#...#.....#.#....######.##.....###.#####...###.#####..###.#....#.#.#...#..##....##.##.#.####....###....#....####....##.#..###.#.##.#.#.##.##.....#..##.#...#.##...##.##.......##.##..##...#..#...##.##..##.##.##.#..#.#.###..########.#####...###..##...##.#.###########........##....#.#.#.##...#.####.....##.#..#.##...##.###.#....###.#####.#...#.#.....##...#.###.##..##.#.#.#.####.#.##.#...#..#.#####.###.#.###..####.#######..#.#..#..#..#.....##...#..#..#.##.##.###.....##..##.##..#..#.....#..#..##.#....#####..#..###.##.#####.###.#.#.###.#.###.#.#.#..#.#.##.......####.##.#.####.##...#.##
##.#####.#.#.#.....##.###.##.#...#.....#.##..#...#..##.##.#..#.#.#.#..##.#..#.#..#..#.####.#....#.#.#....##.###.......#.#....#.##....#.###...#.##...##...#.##.###.#.....##..#..###...#.....#..#...#.......###########.....#.##..##..##.#############.#.#....######....#...#.#....#..#...###...###.##.##..##....#.###.####...#.##....##...####..#..#####.#.##.#.#..#..#.#.##..###.#...###..#.#.#...#...#....#........#..#...###.####..##..#####.#..#...###......#....#.####...##..#####.#.#.#..#..#.#.####.###..####..#.....##.#####.......#.###.#...##....#.....#.###..#...#.###.....#####.###.##.###.#.#######.....#..####.#####.#.##..#..####...##.#.#..#...####.###...###.#.#.#.##.....#.#.###...#..##..#...###.###.##.####.###.#...##...##.##..#.##..#.....#.#...#...#.#...##.#...####.##.#.#...##.#####.#.###########.##...#....##..###.#.####........#.#...#...#.#.#.#####.##.......#..#..###.#######.#.###...#..#..##.#.#..####.#..#.##..####...##....#..###...#.#####..###.##.###..###...#..###....#.####.#..##..###.####.#...#####...#..##.####..#...#.#..##.##..#...#######.####.#...#..####.#..#.####.###.......###.##..#.#......###..#.#..#####..#.#..##.##..#..#.#.#####.#.#..#..###..####.#....###.###...##...#..#.#..###..#.####.....#....#.###.##...#.####..#.#..###.#...##.#.....#...#...#.........###.#..#.#.#.#.#.#..#.####.#...#..#.##..##....###...#.###..##.#.#...#....#.###..##...#..####..##.###.##......##......###...#.###....#####.#......#####.....#.#####..##...############..###.#..#####.##.#..##..##.#.##.##.##..#####.##..#.#..#.#.#.##.#..#.##.#.#..#######..####.##.#.###..#..###.#..####..##..#....###...###...###.##.#.#.#.#...##.#..##.##.....##..#.###.####.##.#####....#######....##..#.##..#..###..######.#.####.#.....####.#..#.....###.#...#.####......#.#.#.###..#..#....##.##..##...#..#.#.....##.#####.#####....###...#.#...###.....##.##..###...##.#.#..####...####..#..#.##.#..#...#..#.#..#....#...#.###..#.#.#.##.#.##.###.#..#..##...#...#..##...#..#####.##.......#..#.......#####.####.#######.....#.###............###..#.
.#.####.###.#.###..##.##...#....#.###.##.##.#.####..###.##..#.#..#.##....#.#...#..#.#..##..###.##.#..#..##....#####...###.##.#..#.#..#.....#.......#...#.#.###.###...#....#..##...##..##.##.##...#####...#.#..#..##.##..#..##.#.#..#.#....#.#....###...##........#.#.#.#.#....#.###.#.##.....#.#...##.###.#....##........###..####.##.#.#...#...#.#..##...####.####..##.####.####..##..####....#..#...###.##.####..#...###.#..#.###.####.###.#.##.##.#.#.##.####....#.#.##..##.####..####...##...#....#.##..#.#.#..##..#.##.##...#.#..##.....##.....##..##....####.###.##....#.#.###..##...#...#...#.#..####.##....###.##.#..#....####...#.#..#........##...##.#.##..#.##....#..##...#.#..#.....###.#..##...#.##.##..##...#..#.#.##.#.#..#.#.#.###.###..##.#.#.#####.#..####.....###.#..##..#..######...##...#.#.#..####.#.###.#..#.#.#.######.#.#.####.#.....###.##.##..#.###########.###.#.#.#...##.#.###.#.#.###..#..###.####...##..#..######.###.##.....##.#..##......###......#..###.###..#.#.#.#.#.....#..####.#.#.##..#..###.#..#.#..#.#..##...#..##.....#........###....##.###...#.#.....#...#.##.##..####.....#......#...##..#.#.#....#.###.#.##..#.#..####.####.#.#.#..#..########.###.##..#.#....#.#.##..##.#.##....#..###.#.#.#..##.#..#######..##.....#.##.###.####.#####..#....#.##.##.#....#...#.#.##.###..#.#...###..#...##.#.....#.##..##.###..#.#..#...###.#...##..###....###.#######.....#.#..#..##.###..###.#.##.#..###...##.#..#.###.#.##.#..###.#####..#.####.####.##..#..#..#..#.....#..##..##.####.####...###.#..##..##..#####.#..####...##.####.#.#.##.#..###.#..#.#.#..#..####.###...#......#...#....#....#####.#.#.##..##.##...##..##.#.......#..##..#....####....####.###..##.#.#.#...#.#.###..#.#.####.#.#.##..####.####.#######.#....###.##.#.#....#...#..#......#######..#..#.##.###.##.##.###.####.##.#..#...#...#.##.....##.#.####..#.####.#...##..######..#####..##.##.##.#..#.###.##..#....#.#..##..#....#.#.#...#.#...#...#....#.#.#.#..###..#####...#...##.#.###.#.###..#....#........###..###....#.#..#####.##..#.##...#####.#.##...#.#.##
.#.#.#...###.###...#.#..##...#......#..#.#.#.#..##.##.#....#..#.#.#..###.###..###.....##.#.#..###.##....#..##..#.###.###..#..###.....####....#..#.#.......##.##.#.####...########.####.##...#......##..###.#...#..#..##..##....#..#.##.#.#.##.#...#..##..###..#.#..##........##.####.#.#..#.##.#......##.#.###.......#.#.###.####.#.....#.#..#...#############.##.##.#.#..####.##.##..#.#...#.#.#.###...#....##....##..#.#.###.###...###.#.####....##.####....#.....#..#.###...###......##......###.#..#.##.#.#...#..#.#####..##.###..##..##.##...##....###..#..#.##.#..#.#..##..#.#.##.###.##.##.#.##.###.##...#.###.####....####...#.#.###....##..#......####.#...####...#....####...##.###.#..#..#.#....#.##.#......#....#...#..##.#.#.###....#.#.##..#..#...##.#.#..#.##...##.####...#..###.##.#.######.#.#.##....#.#.####..##.#..####...##.#.#.#.#.##.####.##...##..#.##.###.##.#..#...###.#...####.###...##..###.#.#..#####..#...#.#.#.###.#...##.##.#.#..#..#.#.######..####...#.##....###..###.#..###....####....#.##...#.#..#..#......##.#.#.####.#####..##..#.#.....##..##.#.###.##...#.#.#...##..####.###..#.....#....#.##..#....##........###.###.....###.#..#..##.####....###..#.###..##...###..#.###.##.#.###..#...##..#.#.##.#..###...#.####.#.###.##....###..##.#.##.####...########.#.#.#.##.#.....##.####.####...##......#..####.##.#.##..##.##.###.###..#..##.##.####....####..#####.#...#..#.####...##.#.#####..#....#.##.#...###....##.###.#...#..#####.###.##.#..#.....#..#..###.#..####.#.######.##..#..#.##.##.....#.###.###...##.###...#.######....#..#..##..#.##..#..#..#.###.##.#....#.#.#.##...###..##...#..###.##.#.#..#....#.###.####..#...###..#.#....#..#.#.#.....##.#.###...###..#....#..#.##..###.#....####...##....###.##...###..######.#..###.#.....#.#####..#....#....#######..##.#.###.....#.##.#..######.#..#...##..#.##.#..#####.###.#.#.###...#.#.#...#..##.###...####.#...####.###...##.###...#.#.###..#.##.##...###..##.#..##...###.###..###..###...##.#.#.#..##..#..##..#..#.#..####...##..##.#.#..##...##....#######.#.#...#.####.#
##...##.#.....#.#...##.#..#####..###.####.##...#....#.###..###......#####..#..###.#...##..####...#..#....###.###.#.#.#.#.##.#.#..#.###...#....##.#...#####.##..#...###..##.....#.##.#.#....####.......##.#.##.....#...########......#.#..#...####...#.#.#.#.#####...#...#...#..#...#.#.##.#..####....##...#...#.####.#.#..##.#...##...#..###.....#...#..#.#......###..##.#..###..##..#.#####..#####.####.#..####.......#######.#....##.##.##...####...##.#..#.#.#..#.#....##..#..#.#.##...#.......#...###..#...###.#...####..#.####.#..#####.##..#..#.#....#.#.#.##..##...###.##...#.######.###..#.###.#...#.#######.##..#.#.##..###.#.##.####.##..#..###.###..#.....#.#####.....#####...#..#..#..#.##.#...#..####...#.##.#.#.##...###.###.##...#.####.....##.#.###..#.##..#.#.####.###.#.#.#......#.#.#...#....#.#....#.#.#.#..###..#.#.###.#.#.#..##....#.#.#..#.##...########..##.#.#..###..###...#..#.#.##...#.##.#######...#.#.##.#.##.#...#.###...#.#.####.#..#.##...##.#.#######.###...#####.#....####.........#...######..#...#..#..###..###......###.###..####.#....#####.#.#.#.##.#.###.######...##.####..#..##...#..#...#..#.#.###..#..#....#.#.####.#.#....##.##.####.##...#....#.......#..##..##.#.##..#...#####...#...####.#..####.#####..##.#.#####.....#..#..#.##..####.##...##....###...###.####.#.#.......#...#..#.#..#####.##...#...#..#.#.#...#.##.#...#..#.#....########...##.#...#.#.###...###..###..##..####.##.#....#...####..#....#.####.##..####...######.##...#..###..#...##..###########..####.#..#..####....#.##.#.###.#..##.#.#.##.#.#.###..##..#..####.#.##...#..#.#..##...##....#...######..##....####...####..#.#..##.#####....##.#..###.#.#.#..#..####.#..###..#......#.#...#..#.#.....#######...#..#..#.#..##.#..###.#.###..##....#..###...#.###...######...###.#..#####.#..#.#..##...#.#....#.###.#.##......###.#.##.##.#....##.###.#......####.##.##.##..#.#..##.#.#.##..#..###.###..#...#.........###.#.#...#.##.#..#..####...#####...##..###..###..##.#....#.###.##..###.#..###.#....##......####.##......##...#..#####..#...#...########
##.#.#.###.##.##.###.#.###.#..#...#####...#....###..######...###..####.###.#...##..#....#..##..#....####.##...#.##.....#.##..###.#..###.#..#.#..#.#..#..##....#.##...#..##.####...#.##.#.#..#####..#...###.#.###...##..#..###..####..#.#..#.########.#.####...#.#.###.##.##.##..#.#.####.#...##...#..#..#.##.#.#...#.....#.#.##.#.#.###.#......###.##.###..##.....#....#.#...#.#...#.#..##.#....#.#.##.###.#.###...#..#..##..###...#.#########.##..#.#.#..#.###.##.##.##.##...#.#.#.#..#...#..###..##.##.....#.#..#...####.......###.#####.##.##.####.#...####.#..##.##.#.#.##....##.##..#..##.#.#...#..###.#.###.#..#..##....####..#..##.....#...#.....#..##...###.##.....########..#......#..#.#.#.####...########.#.#..##.##..##..###..##.#..##.#....#..#.###....####....##..##.#.#....#####.#.#####.##....###....##.#.#.#..#.#....#.#....#.####.#.##.#.####.#.##.#.#.....#...#..######....#...##.##.#...##.#.#.#.##...##..#...#######...#.##.#...#...####.#.#.#.###.....#.....#....##.#..#.###.###....##..###.##.##....#..#..###.##..##.#...#.#.##.#.##.##.....#...#.#.####.#####...#.#####.##.#..#.##.#....##.#######.#.######..#.#...#######..#.#####..####.###..#####.#..#.#...#...##..#.##.###...#.#.#.#.##........##.####.#...#...########...#.##....#...#..#.###.###..##.#.#......#.##....####..##.#.##.#####.#.#.###.#...#.#..#.#..###.###.###.#.######.#..##.#.#.#.##.#.#.#..####...#.##....#..###.##########..##..#.#..#.####...##....###...##.###..#.#.###.#.....###.#.##.#...#..#..#..##.###...#.#.###.###....#..#.....###...#.#.#.#...##....#.#.##.#.#..#.###.#...##...#.##.##...###.###.#..#...##.####....###.##..#.#.#....#..#.##.#...#.##.......###..###..#...##....#.###.....#..#.#.##..........##.#....###...####...#######.#.####....#.#..##..#..##.#.#...#..#.##.##..#.#..#.#...#.##.#.#####.####.###...##.#..#..#..###.#.###.#.#.#..#.#.#.##..#.###..##....###.##..#####....#..#..#.#.#..########..##..#..#.#.##.#.###.#.#.#.######.###.#####...#.##.##.#.........##..#.###.#.##..#.#..####.#.###.#.##.##...#..##...##.#####....#######....#..###....###
.#.#.#.##..#.##..##.#.##...####.#.#..#.##..##......#.....#.###.#.....###.######.######.....#.###.##...#..#.##.####..#..##.#....#...##.#......##.#.####.###.###.#.###...#....#..#.#..####.###.#.##....#..#####.#.##.##...###....#.#..###.##.#.#..##....#..#..###......##.##.....#.#..##.#.#.#..#.##.#.##......#....###.##.#..##.....###.#.#.....###..######..#.#.#..#.##..##.....####..#..#..#.##...##..##....#...#......#.#...##.....###.##..##.#.#..#.#.##..#####.#.#...#.#.##...####.######...##..####..##..###.###...#.#.##...#.#..######.#.....#....###.###..####.#...#.#.#...#.##.#.###.#.###.###...#.#.#.###..##.#...#..######.##..##.....####...#.#.##.####.#.##.##.......##..#.#..#........#.#.#####.##...#.##.##..#.....##.##....##.#####.###.##..####..#...##.#..##...#.#..#.#####.#.#..#.#..#...#.###...####.#.....#.##.#.#.#...#..#.#..#..#.#.##.####..#.#..#.####..#....#..#..#.#.##.##..#.#..##.....#.#.#####.#..#.....##..#...#.#.#..#..#.##.#...#.##...##..###.#...##.#.#.##....#....#.#.#.#..#.....#.#.#.##.##...##...#....#..#..#..#.#.##...#.#.##...##.#..#....####.#..###...##.##.#..##.##.###..####..#.###.######.##..###.#.....##...##..##.#.#.##..##...#.###.##...##.....##.##.##.#..###..#.###..#...#....#.....#..#....###.#.#..###.#.##..##.#.########.#.##..#.###....######.#..#....#.##.##.#####.#.#.#.###.##..#.#.##.#.########.#..##.##...##.#.#####..#.....#.##....#.###..#.#.#..#.##.#...##.#.######...#####....#...##.....##..#.#.#.#.#.#.###.#.#.........#..##.#######..#...###...##...#....#####..#..#.#.#.##.#.###...##..#..#.##.##....#...#.#..#.####.#....#.#...###...#.#.#..#.....#.#..##..###.#.###...######...#.##.#...##..###..#..#..#.#.........#..#....#..###.#.##..###.###..##..###.###...#..##....###.#.#..##.##.##....########.####.........##..#.###.###.#..#.#.....#.#.##.#.##.####.........#.#.#.###...####..#..######..#..#.#.####...##.##.#.#....#..#.##.#..######.#.#..#.#......#.##..#..#...#.####.#.##....#####....##.##......###..#####..###..#.#####..#.####...#.#..#.##..###.##.##.##..#..##.###.#.###..#...#.#..######
..#....###.#...##.##..###.#..#####.#..#..#.#.#.##....#.#####....###.#.####.##.#.##....#...#.###.##..#####..#.#..#######..#..#.#.#.##...######..#.#..#...#......#...#....###.#.##..#.#####.#.###..#.#.##..###..####.##...###.######...##...##.###..#....####..####..##.###.#..###....##.#.##.##...#.##..####.#...#.#...#####.#.##.###..##..#..#.#.##..#.####.######.##..###.....#....#.##.##.##.###.....#.#.#..##.#..##.##.###....#.#..#####.....####........##.....#..#.#...#.######..#.#.#.####..##.##..##.##..#.#.##.####...#..##.#...##.####.#.#......##.#.##...#.#.##..#..#....#.#.#..#####...###.#.#.#....#....##.##....###...#####..#.##.##..##....#..#.#..#.#...##..##...##..##.....#..#...#####........#..#.#.#..#..#.....#...###.......#...###..#.#.##.#....#.##.#..#...##.#####..##..###...#..##....#.##....##..###.#.#.##..#####.#..#...#.#.###...#...##........#..#..#.#.#.#.....##.##.##..##..##.##......#..##.##..##..#..#..##.#.#.###..###..##.##.#.###..#.....#...#.#....####.###...##.###..##......####.#.#.####.##.#.....##..#.#..##......#.####.#..#.#.#####..#.#.#..#.#..##.#.#........#....#........#..#...#.#..#.####.#.#..####..######...#...#.#...###..#########..##..#........##..##..##...##.#.......###....#..#..#...#...##.##...####....###...####.###..#..####..####..#.##....##....##..#########.#..#....###..#.#.##...###.####.#.###....#######..#..#....#....#.##.##..##.#..#.#..#.#.###.#.##..#.##.#.#...#..###...#..##..#####.###.##..#.......#.#..###.##.#..####....#...#.#..#...#..###.###..#...######......##.#..##.#...##...###.#.####.######.........#..##......##....#..#.##...####....###.#.##.#...#..#.##.#..###.#.#####...#.#.##.#.######.###..####.###......###.#.##..#.#...###..........#.###.#.#.#.....#.#....##.##..#.##...#..#........#.#.#....#..#..#######.#.##.##..#...#.###..#...###..####...##.....##.#.####.#..#.#.#..####.#....#####...#.#####....#####.#....##.#.####.#.###....#.#.##..##..###..####...#..##...#...#.##.###....##...#.....####.#.#.######.#.###.#.#..#..##..#.##.#..#.#.####.#######..#..#.#####...##...
#.#.#..#..#..#####....#.###.##....#.#.#..#####.#.#####..##.####.####.#..#.#.#....#..#####.#.##.##...###.###.#.###.#.##..##....#.#...#....#.##...#####..#..#.#.###..#....##.####...###....##.#.....#..#.....###..##...#.###.#.#.....#..#..#.###.###.#.##.....#...#.#.##.####.#...##.#.#.#.##.#.##.#.#..##.##....##.###.#...#......####.#.#.##.#.......##.#####..#.##.#.#####.#..#.##............#.##...#.#.#.#.#.##.#...###.##...##.....#....#...#####...#...##....#..#...##.#.#..##...######..###.#......#.#..#.##..#.#.##...#...###.#.####..####..#.#..######.#..##..###.###.##.#....###.##.#...#.##.######.#.##.#...#.####..###...#....#.##....#...##.#..#.#..#.#...#.#.....##..#.###..#.#.###.###.##.#...##..#####.#....##.##...#...#.##.##..#...##.....####.###..#...#.###.##.#####...##.##.#.##...##.########....##..#.###.#.#..##.#..#..####....#.##.#.#..##.....##.#....##.##.#...#..#...#.###..##.#.##....#..#######..#.###.#..####.##.#.###.......#.#.#.######....#.#...#.#.#..####.....#....#..#.####.#..#....#..#..##...#..##.#.#####.....###..#...##.###..#..#.#...#####...#...####.#.....######.##..#.##.#.#.#.#........##.###.#...#..#..#.##.....#....###.#.##...#....#####..#.#.#.##.##.##.#......#.######..###..#..#.##.##.#..##.##.#..##..#.#.#..###.###...##.###.###.#.#.##..#.##.##....####.###..#.#..#...#######.####...#.#####..##.#..#...####.##.##.##....##..###..#..#.#.##.#.....#.##..#.##.....##..#..##.##.#.#...##...##..##..###..#..##..######.#..#..#..###..#######..##.###..#...#.##......#....##..##.##.###.###.##..####.####.#.#.#.####.##..#..##.####.#.##.#..####.###.##..#.#...#...#..##..##...###..####....##......#.#.#..#.##.###..#.#.#.#.#####.###.#....#...#...###.#....#..##..#..#..#.#.#.####.##.#.#.....#....#.####...##.#....#.##..#####..#.#.#.#...#.#....##...##.#.....##.#...#..#..#...#..#...##......##..#.##...#.##.....#..#..#..#..##..##...#..#......##....#..##..#.#..#.######..##.##.########.###.##...#.####...#....##########.#.#....#.######...##......##.##....###..#.#...##.....#.#.#.....####....##..#..#.....###.#..
###..##..##.#.#.##.###....#.##...##..#....#.#..##.#.#....#.###########.#.#.##..##........#.#..###....##.....#...#####..##..##.#.##..##.##....#####.#..######...#.##.###..#.#...###.#####..##...##..##.#.#..##.###.#..#.#......####.....#.#..##..#.##.###...#.....##.#..#...##...##......####.#.#...#.#.#.......#.###.##...##.###..#####...#...#.##.#.##.####...###.#.##..#.#####..##..######.#.#.#.##.######..###.#.#.#.##....#...#...#.##.#.#..#.##.##.##..#..##..##.#.#...#.#.########.###..##.##...#.#.....#.#.#...#..###....#....#..#.########..#.#.##...#.....#...##.##..###..#######.#####..#..##....#.##.#.#.#.##...###..#.##..##.#..##.###.....##....#.#..##...#...#..###.......#####..##..#........###..#####.#.#.###...#.#.##.###.##..##.#.##..##....#..###.###.###....####..#.##.#.#...#####..#.....#..#.#..#..#######.###.###.#....###.#.###.#....##.##..#.#.#..............#....##...#.#...#.#..####......##########.#.##.###....###.#....###.#....###..#.#.#.####....#.#....##..####..#####...##..####.#....#..####.#.#..##...##.#..#####.#.#.#...#..##..##.###.#..####..#.##.##.##..###..##.#.##..#.#.######...###.#...##...#.#...#.#.....#...#######...#.###..##.######....#.###.#.##...#...##...#...#...#..##.#.####...#..##........#..#.....##..#..#.##...##...##..#..##.#.###.####.##..#...###.#..#.##..##.##.#.##.#.#.##.##...#..#.....##..#####..#...#.#.###.......###..#.......##...###..##......#.#..###.##.###..##..###..#.#..#.##...#.##.##....###.###.###....##..###....#..#..#...####...##...##..###..##..##.##..#...##..##.#...###..##.##.##..#.###.#.....######..#.##......#.###......#..##.##.##...##...#.#..####......#.##...###...#..#.####...##.#####.....#.######...#...###.##...##.#..##.#.####..######.#.####.#..#####.#..#.#.###.#.######...###..##...####.######...###.#.###.#.#...########..#....#.##.#####...#..###.###.###...#####.##.##.###........#...######..##.###..##..#..##..##.#.#.#.####.#..##..#...##.##.##.##....#####.##....##...#.##.###..##...###.#...#.#.#..##....#.#.#.#.#..#.##.##.#.#...##.##.#....###.....####.#.#.##
#.####.#..#####....#.##..##..#.##.#...#.####.#######.##......###.###.#..#.##.#######.....#..####...#.####..#.#..#.#.#...###.#...#....###.#..###...#.##........#.###.##..#.....#.####..#....#...##.#...##.###...##.#.#.##.###....####..###...##.#########..##.###.....#.#...##..####.###.##..#....##..#...######.#..#.#.####.#####.#.#.###..#.#.#..##....##.#.##..##..##.#.#.##..#..#.#####.##.#....##.##..######.#...#..#.#.#..##..#..#...##..#..###..#.##...##.#..##.....###.....#..#....#..####.###.##.####.##.##....######....####.##....###.######.##.#..#.##.####..#.####.#####.##.##.#....#.##.#.#.#.#..#..#.##..#...#...###.#####.#.....#.###....######.#..#.#...#....#####..####...##..#.#####.##......##...###..#..##.##.##...#..........#.###...#..##.##...#...#.##..#.#..##..###.##..#####..#.....####.#...##....###.#...#...#.#..#.###....#..##.....##..##.###...##...#####..#####.#..#.#####.###...#.###.#####....#..#.......#.####.....#..##.##....###..#...#..#..#..#.#####...#.####.###.....#.#.##.#.#.....#...#...#.#.####.##.##.#.##.###...#...#..#.###.#....###...........#.#.#..###..#.#.#..#....#.###....##...##..##.#....##.####..#.#.#.....#.#..#.##.###.#.####.#.#..#...#..####........##..#.##.....##..##..#.###.#####...##.#.#....#####.##.#.###.#..#..#.#.#.##.#..###.#..#...#...#.#.#..#..#.#..#.#.#####.##.#.#..#######.......##.###.#.#.##.#..###....##..#.##.#..###...#####.......####...#...#.#.#.#..##..#.###......#..######...#..##.###.....#.###.##....##.#......#.#....#.#.....#....#....#.######......#....#...###...#.##...#.#.#..##.##.##.##...#.#.#####.#.#.#.##.#.###..#.##..##...#.###.....#..#....##.#..#.#..####..##.###...#...##.#.#..#..##...#....##.#.#.####.###.....#...####.##....#.###..##..##.....##.###..#.##.#..#...####.###...#.##..##.#..####.#.#.#....###.##...#....#####..#..#.#..#..###..#...#..#......#.####....#..##.#......##..#.##.....#.####......#....#.#.##..#......#.##..##.###..#....#.#..##.....###.#####..##.#.#..####.#...#..#.#.##...###....#..#..##.#.#####.##...######.#.##..###...##....#.###..#.##..#
#.#.#...##.#.###..#.######..####.##.####...#.##.#..##....#.#.###.....###.##...#.##.#..#..####..#####...#.######....#..###..####.#.#..#.#.##..##...##..#.######.#...##.##..##.##..#.#.##....##.#####.##..#..##..#...#..#...#...##.#....#..#.##.##.#.#.....#...#.#..##...##.##..#...#####.#...####....#...#..#####.#.#..#.######.#.##.#.##....####..#.#...##.#..##..###.#..####.#..#..#####....#...#####.###..##..####..##...#...#...#.####.##.##.####..###.#.#.#...###..######.##.#.#..#.###.....#...#####..#..##...##..#..#.#.###....#.#.#...#.##.#.###.####...##..#####..#.....#.#.#.#.##...#....##..#######.##.##.#..##.#..#...#..#..#.#.#.##.#.#..##..#..#######....##.#.#...##.#.###......#.#...#.#....#.....#.###..##..#.#.#.###.####..#..#..#####.###..#...#.###..#.#..#.####...####...#...#..#..##.#.###.#.####.#.#.###.....#.#.#####.#..####..##....#....#.#.##.#..####...##..........###.#..##..#.#.#.##..###.##.######....######...########...##.#..#..#.#...#.#...#...#..####...#########..##....##...#.###.##..####.#..#.#.##.####.##..##.###..##.#.#...####.###.###.#.########..#.#.##.#.#.#..#..#...##..####.....#..#.###.#.###..##.###..##..#...#....##.###..#.#..##..###.#..#..#######....##....#.##.##.#..#..#.###.#.#.#####..#.....##.....###.#.....##.#...######.#..##.##..####..##.####.##.######...##.##..##.####.###..#.#.#.#..###..###..#..###.#.#.#.##..######.....####.##.######.#.####.####.#......###.#.##.#####..###..###....#.##.####...###.###...#.#......#..######.#.#..###..####.#.##..###.#.#....#..#.#....###.##.##.####.#####.#.#..####.##...#.###..####...#####.#....###..##..##..#...#.#..#.#.####.#######.#....#######.#..#..#.#.#.####..###.#......#..#..#..#.##..###..##.#.####.##.##....#.#######.#.#.##..#....#.....#...##..#.#.#.#.##..###..#####.#.####.##..#..#....##............########.#.#.#..##..###.#.#.##.##..#.#.##.#..##.#.##.#.##..#.....##..#.##.##..##.##..##.#.#.#.##..#######.##...###..##.##.##...##...#.#..#.#.#.....##...#.##.#.#......#.###...#.#.##.##.....##..####.####.##.###.###...#.#.####.##.....#.#....####
##.#.#####...##..###.#..##..##.#.#.#...#.###..#.#..##.##...##.#.#.#..###...#.######...#..#####..##...####.##..##..#.###.#...###.#.#........#..#######.#.###.#.####..###.#.###.#.####...#.##..##..#...#..###.#.#####......##......######..###.##...#..###.####..##.#....#...#.#.#..##..#.#...#####.##.#.#......#...##...#....##..####......#.....#.#..###.#..#...#....#...##.###.#..#.##.##.#.##.#..#..#.##.##.##..#....#.###.####.##...#.....##.#.#.###....#.##...###.##.....##.#..##.#..#....#..#.##....#.#.###..#..#...#.#.......#..##.####.##..#....##......#..#....#.#...##.###..##...#.#.###....#.#.#.###........###.#.#.##.#.####....###...#.#.#....##..##.###.#.#..##..#.####.#..#####...##...###.#.#......#..##..#.#.##...###...#.#.##.###.#..#..#....##.##..###..#.##..##.#.#......##.##.###.##.#..##..#####..#...#...#....#.##..#..#..#.#...#######...##.##...#..###.#.###.##.#.#.##.##.#.#..#....#.#.##.#....#..##.#....#.##.##.#..##........#.####..#.#.##....#.#.#..##.#.##..#..##..###.##...###.#...##...##.#.##...#.###.#.##.#.#..#......#.##...#.....##.#..##.#.#####.#.#............##....#.#..###..##.#.....####..##.....###...##...#.#..#......#.......###.#.#...###...#.###.##..#..#####....#..##.#.##.##.#.#.#.##.###..#..###....##.####.####.##...#..#..#.#.....##...###..###.###..#.#.....##.#.##...##.....#..#.####....#..##.##.###.##.######.##.##.##.#...#######..##.#.#.##..#.#.....#.###..###.#..#.#.##..#..###.##....#..####..#..###..#.##......#..##..#..#..######....#....###.##.##.####..####..#.###.#.##....##.##..##.#.#..#.#.##...#.##.##..#.#....##.##.#.#.######..##.#..#.#..##.#..###.#.#.#..##.....##....##.#.#.###....##.#.###..##...####.#.#.##########..#...####.##.#..#.#...#...#.#....###...####....###....#.###..#..#.#.##.#...##.##.###..#.......#.###..#########.#.#.#...#..#.###.##..###.##.##.#.##.....##.#.#.#.##........####.####.##.#..####..#.#..#.##.#.####..###.##......##.###...#.##.##.#.#...###....###..##.##.#...#..##.#.#.##.####..#..###.#...####..##.#####.#.####.##...#.#..#.#.###.#...##.#.#..##.##...#.#.##.#.#
#####..##...#..##....#.##..####.#.......###.####..###...##...#.#.#..###.#.###..#...#.###.###..##.....###...#....##.##..#..######..#..##...##....#####..#..#.#...#....#.#.#.##.#.#.###...####...#.....#.#....#.#####..##...#.....#.#.#.###....#..#...####.#..##..##.##.##....###..##.#..#......###.###..###....###.##..#.#..#..#.###...####..#..##.#.#..#.#..#..##.##.#.#..##.#..######..#.#.#.#.#..#.######.##.#.##.#.#...#.##.####.......#.#..##..#....###....#...#.#.##.##.......#.#..##.##..#..#.....##.###..##........####..#.####..#.##.#...####..#....##..#.##...######.########.##..#####.#.#.##.#.#......####......#......##....#.######.####...##.###.##...#####.#....##.##...#...##.#...##.##.#..##.#.#.....##.#..####....#...##..##...##..##...#..####.....###..#...#.###......##.###.#.##...#.#..##.##...#..##...#..#..#..###...####.###......###.####..#...#.#.....#..##.#..##.###.....##.........###..##.#...#..#..###...##.####.#.##.....##.....#.#..##.#########....########.#..#....##.#..####..#.#..#...##.##....#..#######....#.##.###.....###..##........####.#..###.#...#..#..#.#.####...#...##.#######.#...#.#.#.##...#.##...#.#....##.##..#..##....###.##.###.#.#.####.##..#..#.#..#.####.#...##.##..##.##.#..####..##.#..#.#.#####..####....#....##.....###.#..###...####..#.##....#.......###..###..###.#.#...##..##.##..##.#.#.###.#..#.#..#....#....#.#.#..#....####....#...##..####.##...##..#.#.#.####..#...##.#..#...##...##...#...##.##.####..#...###.##.###.#...#.#.##.#..##...#..#####.#..##..#.#.##.#.#.#.#..#.#.#.#..#.###.######.#..##.#..#...#.##..##.###.....##.####..#..######..#..###...#.###...####....###.#.######.#.#....##.#.#.....###..##..#.##.#.#.#..#.#####.#.####...###.#..#.....#....#.#.....#..#####.##.####...#.#.#####.#.##..##.#..#.#..###.#.#.#####.#...#.####.#..##.#.....##..####..###.##..#..##.#..#...##..#.###.#####...##..########....#......#.#.##......##..#..#####...##..##..####..#......###.##.####...#.###.##..#.#.#..#.###...#####.#.....#.#..####..#.#.##.#.#..#########.#######.######...#.......#.##.##.#
...##..##.....##.#######..#.###...##..###.#.#####......###.#..###..#.####.##.#.##...##.#.###..#.#.#..#....#.##..##..#.#.#####..#.#####.##..######..#.........###..###.#..######..#.##...#.##.#...#.#...##.###.###..####..###.#..##.###..#.#..##.#..#..#######.##..##.#.####...#.#.####..#.#.#......#..##...#.#...#..#.#.#.##.##...#.#.#....#.###..#.###.#.######.#.#.#..##..#.#...#.#.....#.###...##..###...##..##.###.....###.#...#.####....###.....##.#.##.#..###.#.####..##....#..#.####.##...##...#......#...###...#.....#####..##.#...#.#...#..#..###..#.##.##.#..###.##.##.#.##.######.######.#.#####.#.##.#..###...#..#......##.#.....#.##..#.#.#.####......#....##.#.##..####.#..##.#.##.###.#...####..#.##...#..#..#.#######.##.....#.####...#..##.##.####..##########.#####.#####.##....#.#..##.#..#..#.#.###.###..#.##.#..###.#......#.#.#......#...#..#.###############.#.#.#.#..#...#.##.##.#####.#.....#..#...###.#.#.###...###..#...##.##.#.#....##...##.##.#..######..#..#.####......##..#.#####.###.##.#.#####..#...#..#.#...#..#.##.#.##....###..#.#.#.#..##.###.###...#..#....###.#.#.#.#.##.###...#..##.#...#.##.#.#..#...#..###..###...###..#####.#..#.#.#...#....#..#.#.#.....#.........#.....#...#.#.#####.#....#.#.#..#.#..###.###.##..####.....##..####....####...#..#...########.#....##.#.#.....######.#..#...##.####..##.....#.#..####..#######.##.###.#.#..#...###.####..###.##.#.#.....#.###..#..#..##..#...##.######.#.#..#######.##.#...........####.#.#####..#####.#####.#.##.####.#....#..######.####.#.....#...###...####.#..#.#....####.#.##..........#...##..##.##.#..#.#.##.#.##.#####..#..#.#.#......#.#.####...#..#..#.####...#.###.#.#.######.##....###..###...#.#.#.#..#..####.####.#...###.##.#.##...##...####..###.#...#.###.##..#..###..##.##.#...#...#.#.#..#.#....#.##..###..#.#.##.#..#.#.#....#.....#####..#####.#..##.#####.##.##.#...#.....#....#.#.##.#.......####.########.#.##.#.#..##.#.#..##.#.#..#.###...########.#.##...####.##.###.#.#...#.#.#..#.#.#.#...#..#.##.#.#####.##.##..##..#....#.....#...##.#.#.#..#.###..
####...#.#...#####..###...##..##....##.#.##.#....#....#.#.#######.##.#.#.#.###.######..#####..#....#..#..#....###...##.#.......#####...###.#.#...##..##.#..#.###.##.##.####.##.....#.##.#...##..#...#.##.##.#.#.#.#..#..###....##.#.#.#....###.#..#####.####...#...##...#####.##....##.#..#.#....###.###..#.#..##...###.#####.###..#.##....####....#.####.#...####.##.#.#....######...###..##.##......##########..##...###...##.#....##.#..##.#.##.###.####...##.#..#.##.#.#####..#####...#.#.#.....###.#...###.#...#....#..########.#.#.##.###....##...#....####..####...###..#.##.#.##..#.##...#######...#..#...##.####.#######.....#.#..#.#####.#.###.#.####..##.#.#.#....###..##...##.#...##.#.#.....#.#...##.##.#..#....#.#.##...##....#.#..###........#.#..#.#..#.#.#.###...#..###..#..##....#..#..#...#.#.#..##.#..###.###.###...#....###.####.##....##....##.##..###.##.#######.#..#....##.#.##...####.##.#.##..#...#...#.##.#....###..##..###....##.########.###...#....###.....#.........####..#####...##.###.###..##.#..##..##...#.##..###.#...##.#.#.##..##...#....#..###.##...##.##.#............#.##.#.#..#.#..###..#.#.##.###.#.#.#..#.....#.####...#.#.#.#....#.#..###.#.#..##..#.####..####..#....##.#...#.##.####.#####...#...##.#..#..#.##..#.##.####.....######...######.#.###..#...#.##....#...##.####..#.#.....#..#.#...###....##.#####..#.###.###..###.##......#..#...##.#......#.########.###.#.###.#.####.##.#.###.#.....#.##.#.##...##..#.##.##...#...#..#..#..#####.#..##..####.#..#.##.####...##..##..####..#.#...#.#.#.....#.##..######..#####.##.#.#...#.#....#.##.##.#.#.#...#.#...#########...##..##.##.##...##.#.##...#.#...##.##...##.#####..###.....#...###.###..##..####..#.#.####.#.#..#.##.###..##..##.#.##...##..###.#..#..###..##.###...##.#.###...#.#....#..##.###.#.###.#.#...#.....#..##..##....####.###.#.#..#.####.#..#.####.##.##..##.#.#..##.#...##.#.#.#..#.#.#..##.#.#####.##.#.#####.#..##...###......###.#...#.#########.#.#..##....##....#.#..##..######.#..#.#########...#.###..#..##.##.##...###..##...#..#.#..#..#####..#
#.....#...#..####...#.##.##.##.##.....###.#..###.##......###.....##..#.#.###.#####.#..###..##.#..####..##..#...#..##.#..#.##.####.##..#####.##.##.####.###..#.#...#.#####..###.....###..#.##..###.##..##..#..#.....###..##..##.#.######...##.#..#..###...##..###..#.#..#...####.###......###..#..###.##.####..###.#.##..........###.#.....##..###......##.##...###...##..#.####...##...##..#....##.#.##..##.#.#..#.##.....####...####.#.##..#......#######...##..##.#..##........#.#.##....#.##.##.##..##...#..#..###..#.###..##....#.##########.#....####.##..##..#.#.#.##..#.#.#..##..#####.###.###.#...#.#######...##...#...##.####...##..##.##.#.#.#.#.#...##.###..#.##.#...##.##.#.######...#.#####.####.#..#.##....##.#.#....#..#####......###.##.#.#...#.##.#...#...#.#...##.######..#..#...#..##.##..###.#...####.##.##....#...#..#...#..#.###...##.#...#####....#..##.##..#.#####.##..#.##..####.#...#.##.##.###.....#.#.....#..##.....#.......##.##....#.#..##..#..#.#.#..#.......#...##...#.####.#..#..#.###...#.##...##.#..##.##.#....##.#.....#.###.#...#..#.##.#...##..#.##.###..#..###..#...##.##..###.#.##.#..#...#.....####...##.###.##........####...##.#.##.####.####.#..####.#..####.##.#.#.#..#......#.###.#.#.....#.##...###.#.##.##.....##.####...#.#.##...####..#.#.#.######.#.##.#.###.#.##..##...###.#.#...#..####..#..#####.###.#.#.....###.#....#....#...##....##.#.....##.#..###.#..#.#.#..#.#.#...#.###.###.#.#.###.#.#.#####.##.....###.##.#....###.#.#..##.#.#.#...##.....#..#...##...##......###.#.###...#.#....###.###..#...##...###.....##.#.###..#..##...##...#...##.....#...##...#.#.###...#####.#.##...####.##.##.##...##.##.##.#.##........#.##.##..##.###.##..#....###.#...#.#..#..##..####.##.###.#.#..##..####..###...##....#...#.#.##.###..##.#..#..#.#.#..###...#######..#..###.#.#...#.##..###..#...##.##....#......##..####.###.....#.##.#.#.###..###..###.######.######...##....##.##....#....#..#..#.##..#..#..##....#..#.#...##.####.#.#..#...##.....##..#.#...###.##..##.....#...#..##..#...##.#.#.#.##....####...#.#...###.##
..####..#..###.#...##.#.##.#..#.#.#.#...##.#.#.#..###...##.##..##.....#.###...##.###.#...###.......##..#.#..##...#.###.##...####......#######..###..#....#.##..###.##.#.#####..#.####.#.#####.##...#..#.#.##.##.###.###.##.##.#####.###.####.###....##.#..##..#.....#####..##.......#####.#.##..###.##.##..######.#.#..#..#..##.#...##.####.#..####...###..##..##.#...#.##..###..###.....#..##....#.###.##.#...######...#.#####.#.#....##.......####...####..#.#.......###..#.##....##..#.#..#..##.#.#.#...#....##.###...#..###.##...#..#.#.#.####..#..####.#.#....######...#..##...####.......###.####.#..##.##.#...##....#.##.##.####..###.##.##.#..#...######.#.#....#.##.####.###.###.##...#####.##.#.#.##....##.#..#.#.#..#######.#..##.####.#.##.#..#.....##...###.....#..######.#..#......#.###.###.#..#.#.###..#.##.#.##...##...#######.#...##...#...##....#.#.....#...####.#....#....###.#..#.#.####.#..##....#...#.#..##.#####...##.#..###......#..#.#.##.#.#.##.#.##.##.##.#..#..#..#.#..##.....####.#..###.#.#..#...###.###.#######...#####..#.##.#...####.##.####...#.##...#.###..##....#.#####.##..#...#.#..##.#.##..#####.#....#.##...##....##..##..#...#.####...#..#....#.###...#..#..#########....###..#...#.##..#.###.###.#.###.###.##.#.#.#.##.....##.##.###..##...###..#####...###.##.###.#..#.##.#.#.####.#...######.##.#.#.#..###..#..#.#....#...#..#####...#....###.######..###..############...#.#.##...#.###...##.#...##.###...##..#.....#.#..##.####.#..#.########.#...##..#####.##.####...#.###..##...#.#.#..#...####.#.....###.#####..#..#..##..##..#.##.#...#.#.#######.#####.#..#...##.####..#.#.###....#....#...##.##.#.#.######...#.......#.#.#..##.####...#..##.##..#..##...###.##.#.##.....#......#.#...##.#.#.#..####..##.....##....#.###..#.#..####.#.#.##..#..##.##.#####..#.#.##...#.##....###..##.#........##.#####.###.#.#.####.#...####.#.####....#..####.....##.#.#.#.....#..##.####.#..#.#.#.#..#..##..##..#..#..##..###.#####....#.#.###.#..#.###...##....#.####.#..##.#.#####..############.##..##....#..#.#######......##.....#...
.##.###.##.###..#.###.#..######.#.####..##.#.......#.######..#.....#####.#..#..##.#..#...#..#.##...#..####.....#.#..####.##.#.#.#####.#....###..###.#.....#..#..###.##.##..#.###....#.#...##.###...##.#....#...#...##.##..#..#.#..#.#...##.##....#..#.####.##....#..#..#...##..##..###...#.#.##..###..###...#..####.##.##.#.###.##.###.#####.#.#.##.#...###..##.####..#.#.#.#.########..###.##.#.##..#.####....#.##..#.###.#.###.#.##.##.##..#.####.##..#.##.#..#.#.###.#.#..##.##..######..###...#.##...######...#.###.#.#.##....#####.....#.##..#.###.##.##...##.##...#..##..#####..#.###.#..#.#####.#.....#.#.#####.###.##.##.#......#..##.##...#.#.##...#.#.....#...#..####.#..#....#..#.##..#.####.#.......#..###.##..####.##..##..####..#.####.##.#.#.#.#...###.....#...#...##.#.#..#....###.....##.#.#.##..####..#.#.##..######.#####.#.##..#..##.####...#..#..###...#####..####...###..#.####.#.##.#..........#..###.....#.#...###....###...#.###.###.#..#..########.#..###.#....#...##.###..###....#....#.##..#...#.##.####..###.####.#.##..#.#.##.#...##..#..##..#####.#####.#.##.#.#..##..###..#.##.#....##....######...##......##.#...#...#...#..##.#.#.#.....#.####.#..##.#..######....#......#.#..#...##...##..##..#.##.####.##.....#..###.....#......###.#..##...#.....#...#......###...#.#.#.#.##.#.###.....#.#....#..####..##.#..#.#....####.#..###....#.....#.#...####.##.#.##.....##....#.#.####.###.....#...#####.#.#.#####.##.#..#.###......#.##..#.#.#...#####.#.#.###.###..##...#.#.##...##..##.#.#...##...#.#####.#.#.#..#.........##....#...#.#......#.####.#....#.###...###...###.#.#.#.#####....##....#..#..####.#..#....#.....#....#.#.#.#.#.###...##......#.#.#.#.#..##.##.#.##..##....#########...#.#.#.#..#..#.#...###.##..#..#..........#....#.#####..#..#.##..##.#.##...##.#####.#.##.#..##.#......##..##..#..###.###..#.##..#.#...#....###.....#...#####.#####..##..#.####.######....####..#...#.#.#####.#...##......##.#..##...####....##..####..##...###...#.##.##.#...#.##.###..#..##...#..#.......##...###...#.....#..######..####..#...##
.##.###.#.####..#.###..#.####.###.###.#.#.#..#.##..##.##....#..####..###.#.##......#.#####...#####.#.#.##.#..##...######.#..#.##...#####.....##..#....###.#.#.#..#..#.#.####........#####.#..#####..#.#..#.####.#...#.##.#.#.#..#..........##...#..#...#########.##...#.#..##..##...##.#.#.###.#..##...##########.#.....#.#..##..##.....###.#...#.###.......#.###.#.#...##...#.##.###..#.#.###.####....#..####..#...#.#.#.##..#.####..##.#..#..##.##..###.##.#..#.##.##.##.####.##.##.#..###.#...####..###....#.####.#...###..#.#.##.....###.#.#..##.##.###....#..######.###..#.#......#.#...##..####..##.#...###.####.########.#..#.####.#....##...#####.###.##.....#...###....#.#.#.######.#....#.#######.#..#.##.#.#.##.#...#.##...#.###.#..####.#.....##..#..#....#..#........##.#...#.....#.###.#####..#..#..##.##..#.....##.#.#.###.#..#..#..##.#.#...####.#####.###.##.###.#..####..#..##.###...##.#.##...#..###...##...###...#...##.#..###..#..##.###...##.#...#...#..##........#.##..####.###...#.####.#.##.#.#....#...###.#...#....#...#.#....#.###.#...#.###.#.#...####..#..#..#.####.####..#.#..##.#...#....#.###.....##...#.#..#.#...#.#..##..####.#.#...#.#...##...#.###.....#.#####..#.#.##...##.##.#.##.#.#...#.#.##.....#####......#..####...#.#.##..#..#..###.#..##...#....#.##..########.#..###..#.##.#.#.###...#...#.####.#...#####..#..#...##.#.....#.....#.#.#######.#..##....###.##..###.#.##....####..#...##.#...#.#...###.#...#.##..#..#.#..#####.#.#.##....###..##.##.##.#.##...##....####.#.##.#...####..#.##..###.#.#..####...###.#..#.#...##.#.#..#..###.##..#.###..#.#.#.#.#.##.##.#.#..####...#..#....##..###.#######..#.#....####.#.#....#..#.##...#..##...#...#..#.###.#...##.###....#####....##....#...#...##..####.###.##..##.....#.####.#.######..####..###.##.#####.#.##..#.######..#.#.###..#..##..##....######.###.##...###...#.#..#..##....####.##.###..#..#.#..##..####.#...#..#..#.##.#..#...#.#.....##.#..##.####.....###########...###...##...#.........##........##.#.....#.#...#.#...#..######.#.....#.#..###..#.##.###..#.#.##..#
#..##...#.##.#.##.#.####...####.#.###.#.###.#..#.#####.#.#.##..#.###.##.#####..##..#.#....#..#####.####...#...###..##.#####.###....##.....##..#..#.##...#####....###.##..######.###...##...#.#..#..##.#..#....##.############..#.#.##.....##..#.#.###.......##.##....##..#.#..##.#..##.####.#.###.##..#...##.##...#.##..##.....#.#..###.##...#..#.#..#.####...##.#.###...#.###...####.#.#......##.....#.#.#.##.####....#.......#.....#...#...##....#.#.#####.#.#.##......#..#.##.#.#...#.......#.#.##....#..###....#..##.##.##..###.#.##.#.##.#.####.#.#######.#.#....##....#.#..##.#..#..#.....#.####...#.###....###..#...#......#.#.#.##.#.#.###.....#.####.#..###.#..#.#....#.#...###.#..##...#.#.#.#...#...#....#...####..#.#.#.#####..#.##.#######....#...#.#..#####...####.#.#...##.#..#.#......###.#.#####...#..#.##.####.###..##..#......###.#.##..####..##.#....#..#.##.##.##.#....##....##.##..######..#.##.###.....##..#.#...#..#.##....#.##.##..##.#####.#..##....#.###......#.#.####..#...###..######.......#######.###.#######..#.#.##..###.##..#.##.##...#...##....##..##.####.##...##...#.#.#..##..#...##.##...#.###.##.#.#.#..#..#..#.##..#####...#....##.##......#.#..###..###..##.#.####.#..#.##..##..#..##...##.###..##.#####.#..##.#..######..#.######..#...#..##....####....#..#..#.###..#..##..##...##.#..#...#..#.#..####.###...####..####.#.#.#.#.#..#.#..#.###.##...#..##...#..#.#.###..#...#...####.##.#...##...##.###...######.#.#.##....#..#..#.##..#...#..#.#....#..###.##..######..##.##....##..#..###.#.#..#.######.#....#.##.#.#..#..##....######...#...###..........#..##..#...##..##..##..######.##...#...##.#..#..#...#.#..##..##.#.##.##.####.#......##.#.....#.#..###..##...####..##...#.....####.###.....##.####..###.#.###...#.#.##..#....###.#..####.#....#.#....#.#....#..##...#.#######.#.###.#...##.#..##.###.#...####.#.#.##..#..###.#.#########.#....#.##......#..###..##..##....##....#....#..#.#.#########..#.#####...#..#.#.##.#.#..##.#####..##....######..#..##.#..#.#...####..#.###.##..##.##.##.#..#.#.###.#...#...##..##.#
####.#.#.....#.##.....##.#.####.....#.##...####.##.#.#..#.....##.##.#......##.####..#.#.#.#.##.....#.##.#...#...###..#..##.##..##.###....#####.#.#####.###.##...#.#.#.#.##.####..##.#.#..#.##.#.#.##.####.###...##......##.#.#.#.##..####.##.##....########..##...#..#..##.##.#.####....#..##..#.##.####.#####.##...#.##..##....#..##.######.#..##..##..#...#.##.#.##.####..#.####..#..#.#.........##....#....##.##.##.#..#.......##.#.#.###.#.##....#.####...#.#.##..##..###..##.#.#.#.###.##.#..#....##.########.#..#.###.#..###....#..###.#.########...#..##...###.#..#..######..##.#..#..#.##.##..#.#.##...#.#...###...###.###..#.##.###.#.#...##..#.#....#..#..#..#.#..#..#####..####.......##..#.##.####.##.#..#...#..##.#.........#..##..#..#..#.##....###....##.##..#.##...#....###.#.#.##..##.#....####.###.#..##..##..#.###...##.#####...#.##......##..##.####.#####.##.....#.#.###.#..###.#..#.#..######.#.####..###...#....#.#.#.####...##....#.........#.###..##...###.##..###..###.#.#.#.#.#.#.#...#....###.#.###...##..#.#...##..###.##.##...#.#..###...#.#..###.#.##.#.....###.......#.#.##.#.#.#.##.#.###...##.#####..##.#######.###..#...#.#..##.#.###.#..#..#..#..#.####..######..#..########.#.#......#.......##...#.##########.##.###..###.##.##..#.#..#.#.###...#.##...#....###.....##.##.#.##.###.####...#.#.#..#...####...###.###.#..............#....#..#.##....###.#.#.###..#.#.#..#.#.#..#.#.###.#.#.###....#...#.##...##..##...#####.##..#.#..####.....#.###...##...#..#.##....#......###.#......##..##..###.#####.####.#.##..##.##...##..#......##.#...##.##.......##.#.####..##.#..#..#.....##..#...#.#.##..#...#.#..##.#.##..##..###.###.##..#.#####.###..###.###...#####.#.###..####.##..#..##.#...######..#.###.....#..#.#..##.##....#..#....#####...#.##..##.#..####.##...#...#.#...##.####..#..####.##..#..##.###....#...###..##.####.##.#...#..####.....#.######..####.....#.#.##..#.#....#..#.#.#.##.#..#####.#...#..####.####.#.#....###...##.###...##.....###.#.###.#....##...##...#.#...##..##..#.###.#.####..##.#.########..#.#.##..##.
....###.##.#......#.#..##.#.#.#......###..#...####.#.##.#...#######.##.#..#####.###..####.#....#...#.##.#...#...#.#.##....#...###.#.#..........###.##.##..###..#...#.##....#..###.#..#.##.###.#..###.#.##...##..##.##..###.##...#.###.#..#......###.####...#.#.#..#..#.....##.##..##.#...###.##...##.#..#.###.########.##....#..#.#.#..#..####....##..##.####.######......#....#..#.....#....#.#...###..####.###..#..##.#.##..#...##.....#.##.#..##..#####...#...#######.#.....##.#...###.#...#.#...#......###.#.###.....#..#####..#.#..###..#..#..#.....#######...###...#.....##..#####...######.#..#.###.....#..###.#.#..#..###.#......#.##..#....#.#.###.##.##.#..#.####.#.##.###...###.##.....#######.#.#..####.#.#.##.####.####.##.#..#...######...#.##.#..##..#.###....###...#.....###.#........#.##.#.#.##...###..#.###...##...###.#.###...####..#.#.#.....#####.....#..#.#.....###.##.#...##.#.###...#..#.#####.#.##.#.##.#....#.##.#.##.##.##.##.##...#########.#...##...#.##.#...#....#......#..##..#.####.#...######..##.#....####.....#..##.#.####..#.#.#...#..#####...##.#.#..#..#....#.##...###..##.###.#.#.#..#.##.###....###.#....#..###.....#..##....#...#..#.....####.##.#.#.##.##.#.#..#.#.#.##..###.#..#.###....#.########..#..#..#####.#.##...#....#...#....#.##.#.###.#.###.#....#.##..#.####.#..##..####.#.##..###.#####.#..###.##..####...#.##.##.#.#######.##.....##..#...#..#.##..##.####.#..#.......#.#.#..########.#####.##.#..###...#.#..###....##.#.#.#.#.#...#..#.#...#....#.####..##.####.#.##.##...####.#..#.##.##...#####...###..##...#.....####...####.....#........######....#.##..###..#####.##.##.##.#..#.##.####...#.#......###.###..##.#..####...#..#..##..###...#####...##.#..##..##.##..#####..##..##..#....#..##.###...###....#...##..#####...##.#.#.#...##...#..##....###.###...#####.##.###..#.#..#.###.####.##.....#...##....###..##.#.#.####.#####.##.#.##...##.##..##...#.##.##..##.#..#......#......##..#.#...###..#..........#.#####.#.#.###.....#..####.##.....#..#..##.#####.#####...###..##.##.##..#..#...#......##..##.##.
.#...#.###...####.##.###......####.###...##.#.##...##.####..#..###.....##....#...##....##..#.####..#...#..###.#..##..##..#...#.####....#.#.#.....#....###..##..#.##...#..#.##..#.#.##.#..##.#..##.###.###...#..##.#.#.#.#.#...#...#...#...###.###.##.#.#.#..#####..###.######..#...##..#.#.###......##.##..#..#####.##...#.##.#####..#...#.#..##..#..##.##..#####..##.####.##########..#####.##.#####...#..####.#.##.#...#...#..#.#.....#.##########..#..##.##.#####.##.##..#..#.....#..#.##...#.##.##.##.####.#####.####..#.#.##.#.##..#..#.####.#........#.#..#####..###..##.#..####.#...#..#...#..#..##...#.###..#.##.#.#####.####.#...#.####.#.###.#.#######..##..........###..#######..##.#...#.######.#.#..###..#####.........#.....#####.#.#...##.###..###..#..##..#....#..#....#.#.#..#.......####.##....###.#..##....#.##.#.#.###.####....#...#......#.#..#..##.#...#........####..#.#..#....##...##..#####..#...####.#....###.##.######...######.#......##.#...####..#.#.##..#.#....#..#..#..#.#.##....#.#.##....###...###.#.#.#...#....####...#.###..#.#.......##.##..######..#...#.##...#...#....#..##.#..#...#..###..#..###...#...####.##.##.#.#...##.##.#######..#..#.###..##....#######.#....#####.#.#..##.......#....#.......##.#..#.#.###..#....####...##..#...##.##.#.####...####.#....#..###....#.##..##..##.#.#.#.##.#####.#.##.#..##..#.#.#.##..####.#.####.#..#....#....###......###..#..##..#.#.##..##..#.###.#....######..#####.#..##.##..#.#....##..###.#.##.....#...##...###.###..####.#..##....##...#.#.#...##.######...###.#..##.#.####.##...#..#.......#..#..#.###.##.#.##...#########.###.#....####...###....##..#.#######...##.####..#.###...##..###.##.#.#..##...##..#...#.##.######.#.#..#..##.#...###..##..#.##.####..#.##..##....#..#.#..#..#.#.#..#..#....#..####.#..##..#......########.###..#.##..##.####.##..###.####.#.#.#.#..#.#..#....##......#.####.#...##....##.#...#..#..#.#####....####.#.####.#.##..#..###.##.#....#.#..##...##.#..#.......###....#.##.......##.##.#..#.#.###..#....#....#.##.##.#.#...##.#..#####..######.#..###
#.......#.##....####.##.#...#######.##..#...###.....#..##.#.#.#...####..##.#...#....#.##..#####.###...#....#..##.######..#.#..##..##..##..#..###.#.##.#...##.#.###.#..#.###..####..##...######..###...#..####...#....#...#.#####.###.#..#.##.##....#...##.#.#....##.####.#.#.....####.##.##.#...#.##..##....#.#..##...##.#....#...##.##...#......#..#..#####..#.#..#.#.....#...#.#....##..#..##.#......#.#####.....#.###.#..#....##..#####..#.##...##.####.##.###....#..###..#..##########.#.....#..###..###...##..#.###.#.......##.#.....#.######.##...#.#..##.#.##..#.....##..#.......#.#.......#...#.##..#..#...#.#.#.#..#..##...#.##.#....#..##...#####......##.#.#..###.##..#.#.##.#.#....##.#####.###.#..##..#..##.....##.###.#..##.##..##..##.##.#...#....##.##..#...####.###...#...##....##..###########..#......##.##.######...#.#.#..###.##..###.#....#.#..##.####...##.#.#..#.......###...#.#.##....#..#.#.#######....####.#.##....####.....##..#..#..#.###..####....#.##.#.##..#.#.###....########..#..#....####.#...#..#.#####.#.#..#...#..###.##..####..#.###.###...##....##.#######..##..#.##...##...##.#....###...#.###.##.##.##...##.#.####.#......##..###....#..#...###...#......#.#...#.##....####...#...###.#####....##.###.###.....##.#...#.#.######..#.#.##...###...#####.#.####.#..###.########...#####.#.##...##.#######.###.##..####.#..##.#..##..#.#..##..#..###....####.......##.#..#..#...#...#.#...#.##.###...###.####.#.#..##...#.....###.#.####.#.#####.##.##..###..#...#.###.###.#..#.##.#..#.####..#...#..#..#..###.#####.#..##.#####....#...##.####...#####..#######.#.....#..#.##.####.#.#.#.#.#..##....#..#..#.....#.#.#.#...##.....#..##....##...#....#.#.#..#.#.##.##.#.#.##.###.#.#....#.#.#.#.#..#.....####.#.#.###.#..#...###.#.#.##..#..#.###..#....#....##.####.#.##.#.#...#.###.#####.#...###.#..###..##.##.###......#.#..##.#..###..#..###...####..###.####.##..#..#.#...########.##...##.###..#.#.##..#####..#.#...#..####.###.#.....#......#.####...##.#.#..####.###.........#...#...#.####.#.#...#.#.##.#.##.....#.#####.#.#...#
.#..###..##.....##...#.##...#.##.########..####.........###..##.###......#.#..#.###..##.##...##.#.#.##...##..#.##..##.#.#...#.....#.#..#.####......#.....##.#####...#.##.#.....#..#.#.....###..#.####...#..######.#...###......###.#.######.#.......##..##.##..#..#....#.####..##...##.#.#####.#....###..#.#.#.#..#...#...####...###########....###.##..###.###...........#....#..#####.#..#.##.##....#.##.##.##....#..###..#....##.#.####.##.#.#.##..##.#...##.###.#...####....###.#########..#.#..###....###.#..#..#####....#.#.#..##.......##.###.####.#.#.#..###...#..#...#...##...#...###.###..##..#.###..#..#.#.####..#..###.#.#.####.#...#.#.#..###..######.###.###.######..##..#.#.#.#......##.##..##.#.#..##..##.##..###...##.#.#.##.###..##..#...#......#.#..#####..#.####..##.#.......#...##.##.#.#####.#.#..#.#..#..##......#####.##.##.#..#...##.#.#...##..##....#.#.####.#.#.....#...###..#...###.###.##.#..##.#.##.##..###....####..###..#...##..##..#####.#..#..###..##......#.###.###.##.#..##.####.#.....##...####..#.##..#....####.##.##.#..####..###.....##.#....#..##.##.#.#.##.##....#.#####..###.###.#..##.##.##...#..#........#.#.#..##.#.####.#...##.##..##..#.#.......##..#..#...##.###........#####...###..#.#.##.#######..##.###..##..##..##.....####.#.##.##.#.##.######.#.#..##.#.#.#.#.#.##.###.###.###...#####.###......#....##.#######..###..#..#....#...#####..#.#..###.#####..##..####....#.#.##..##.#....#.####.......##.#...#..#..##..##.#..#..#......##.##.#....#.....#.#.###..#.###.#..###.#.#######......#.##.###.#.#######.#.#..###...###..#...###.#..#.#..#.###.##.....###.#.#.#......######.#...#.#.##..#.#.#.#.#..##..####....####........###.#.#....###.#..####..##.##.#..##..#.#####...#.......#.##..#.###..##...##.#..#..#..##.#..###.###.####.....#..#.#####.#...##....#.#....###.....#..##.#.....#...##.....##.#.##.####.##...#....#...#..####..#..##....##..#.##..#...###.#.#.##.####..#..#.#.#..####...##.##.#..####..##..#..#.##.##..##.#.....#..#..##.##.###.#..#..#.##.#.#.....###...##.##.##.##.##.#.##.#.##.#..#.#.#.###
..#.#...###..#..##.##..#.#..#..##.#..##.#...#........#.##.###.###.#.##....#..##...###.##.#..#.....#.##...#....##....#.##############.#..##...#.#...######..#.#.###.#.#.###..##.##..###..##....#.####..#.#.#..#.#####.##.###..##..######.###...##......###.##......#.#.##..######..##.#.#.##....#.#.###..###..##.......#.#.##..####.#...##..######.###...#..#.......#..#.#.#####.#.....##..#####....###..#####.####.##..##...#.#.#....#..##..##.###..##...##......#.#..#..##.#.....#...###.##.#..#...###..###..##.....##..#..#..###...##.#..#..#.##...#.#####.#..#.##.##.######...#...#####..#.#.##.####.#..#..#..#..#.#..#.##.#.#..#.....##.#...###...##.#.#####....####.#.#.#######..#.##########.#.##...#....####...#.#.##..###....##..#.####...#..##....#.#.#..#....#####.#.##.#.##.###..#.#.##.#...#.########.##..#####..##.##...#......#..#######.##.#..#########.#..#..#.#...####.##..#..######.....#..####....#...#####..##...#####.####.###.###...#.###.###.#.#....#.#....#.#...#.#.###....#...####..#.#.###.####...#.#...#..##..#...#.#....####.##.###.#..#..#.##...##..#.#.##...####.#..##.#.#.#####.#..#.#.###...#.#..#.#....#..#.#..###....#..#.####..#....#..#...#..##.##...##.#..#.####.##.#.#.###.#.#..#.####.#.##.##.####..#..#.#.####.#####.##.#.........##.#####.##.#..##.###...##.###.##..##.###.#####.....#.####....#.##..##.#..#.#.##...#.#.###.#.###..##....##....#..#.##.#.#.##.#######.#####..#######..#...#...#...##.#..#..#.#....##..#######.#.#.##.#.##.######.#.##.#.##....#.#.##.###...###.###.#.####...##.####.######.#...#############...#.#.###...##...###.####.###..##.#...#...#.#.#.###....#..#.###..#.#.##.#..###....#####.#####.#...#..#.....#.#...######.##.#.####......#..#..#...###.#..###...###..#..##.......##..#.##.##.....#.#....##..#.#..##.#.##.##...##.#.#.......#...#...#..##.......##.##.#.#.#.#....#.#..#...###.....##.#.###.##.##.######...##.##.#...###.#######..##..#.....###..#.##..#.......#####.##.#####...#..#.######...##.##.#..##..#.##.##..####.#..###.#.######....####...##.#..##.###....#.#######..#.###..#...#.#.#
#..###.#.##.##.##.#..##.#.....####..###.##.###..#.#....##.....#..#...#.###.#.#.##.##.#...###.#..#.#......##.#######.##.##..##.#.#######..##.##.##.##.#.#..###..#..##...##..#.......##########.#.#.########....#.....##.#...#.###.####.#.##.##.##.#.##..#.#.##..####.####......#.#.###.#.##...###..#...#..##..##..##.###.####.#.#..#.#..#..#####.####.#.....##.#.###..#.#..#.##..#.#.#######.#.#..#####..#..##.##..##.##.##....#.#....#.#...##.####.....#.##.#.##..#.####.#....#.#...#####.####.#....#.###.###..#.#.##....#..#..#..#.#..#.##...#...##.##..##.###..#....###...##.##......#.##.....#..#.#.#.###.#....#....####..##...####.##.#.#..#..#.##...#######..#.#.#.###.##...##########.##.#.####.#...#......####.#..##.#####..###..##.#.#.##....###.#.###....#..######..####...#...#..##....##..##.##.#.....#..##..###.#####.#.##.##...##.#.#.#..#.#...#..#.##.........#..#######..###.###..#..####.#.##.....#.#..##.#.##.#.##....#.##......###.#.##..##.##..###.#.##..#.#..###...##..#..#.#.#...##...##.#...##.#.#........#.###..#.#.#..#.##...###..#..##.#.....#.#.##.#..##..#######.##.###.#.....###.##..#...#.#..#.###..#.....#.#..#..######..#..#.#.###.##...#.###..##.#.#...########.#..#.#..##...#...###.#..#..##........####.#....#...##.#.#.##..#....###.##..##.##....#...##..#...##...#......#####.##.##.#..##.....#...#####....#..###.#.##..#####.###.#..##...###..##....##..#######.###.#..#.##..#.#..##....####.#..#.######...#.###.#....##..########....#.#.##.#.##.#...#.##..###....##..###.####.##.#.##.#.......##..###...........#...#.....#.####..#..#..#..#.####.#.#...##########.#..#...#......#..###.##.#....####..#.###..#.#.#.####.###..#..#..#.#######.........##..######.#.##....###.##.............##..#.#.......##.#..#.#..##....#####..#..##.#...##.....#..#..#.#...#..#...#....##..###....####.#.#...#..#.##.####...######.#..#..##...#####.#.###.###.##.#.##..#.###.########..#..####..##.#.##...######........#..#.#....##.#.#####.#...####..#.##...###.....##.######...#.....###..#...#...#.#.##..#..#....##..#..##.#.##.###.....#.#.#..#..
.##...#.###.##.#.#.#.#####...##..##..####.#..#.##.#.#.###.#####.#..#..#.##.###..########.#####...##..#......#.##..#...##...###.#..#.#.#..#....#.#...###.#.##.#####.#..##.##.#.#.###.......####.##..#..####.#.####...#.###...##..#..#......##..#....#.###...#.#.#.#...###.##...##..#####.#.###.##..##..####...#..#..########.#.#####........###..#####.###..#.#.#.###...#.###.....#.#...##.#..#####.#....##.#...##.#...#...##....#...##..####..#.##....##.....#.#.##.#.####...##..#..#.####.###......#.###..#..#...###....#.#..#..#.##.##.#..###...#.#.##.....####...#...#.##.#.#..##..#.#.#....###.#.#..#####...#.##.##.#.....#...##.#.###.#.#.##...####..###.#.#.##.###........#.#.#...##.#..#####...###..##..##..##.#.#.##.##.....###.#.#.#.......##....#.#..######.####...#####.......####..#..#..###.###.#.#.##..##...##..#.#####.#..#...######.#..###.##...##..##.#######.##.#.##...###..####.##.##.#.#.##...##...#..#.#.#..#.#...###..##..#..#...#..##..##.#.#.#..#..#..####.##.#.#..#..##...#.#.####..##..........#.#.##..#######..#...#.##..#...#...#.#.##.#.##.##.#.#.####.#########.###...#..#.#......#.#.###..............##.##.##.#.#.###.##..#..##...#...#...########.####...###.###.#.#..#......##.#.#.##..#.....###...##.#..##...#.#...######....###..##.#....###.#.###.#.#...#.....##..##...#.#.####..##.....#...######...#######..##.######.###.#####.##.##.##.##..####.##.###.#.####.##....#..##.......#......#.##.##..###..#..####..#..#....#..#..#..#.#####....#.###..##..####..#....###.#.#.##..#######...##.#....#.#...##....#.#.#.#.######.#..###..#.##.###.####.##..##.....##.###..##....#.#..#.#..#.#..####.#.#...#..##.#.#..#.#..###.##.##.####.#..##..#..#.####.#####.##.##.####...####.#...#.#.#.##.##..#.#.##.#.#.###...###.##.###.#.##.###..#..###....#...##.#.......#..#.##.##....#.#.####..##..##..#...######..####.##.#.#.###...##.#...#.##.##......###.#.#.#..#.##.###..#.#.##.##.#..#....#....#.#..#..#..#....#.#.##.##..#...##.#.#........##.##.###..##..###.##..#..#...######..##.#.#..##..#####..#.....#...#.#.##.#.##...#....#.##.#......
#..#.#.####..#..###...#.##.#......###.##.......#.#.#..#.##...#.##.....##.#...#.###.##....#.##.....#..#####.##..###.#.##..#.########.#.###...#.####.######...##.#..##..##.#..##.#..######.##..##...###..####..#.###.#.##.#.##...#.#.#.#.#.##....##.#.#.####..#####..####.####.#.##..#...##.#..###.##..######.#..#..#..#.#.#.#.#####.##..#####..##..###...#.#..##....###...#..###...#..###..###....#....#.......##..##.....#.#.....#####.#.#..###.##.###....#.#..#.##.###....#.#.#.#....#.#.#.#####.##...#######.#..#.##.....###...#.#.###..####.#....####..###.##..##.##.#..##.....#.####.###..##.##.###..##....##.##..##...###.##.#.###.##.####.#.#...#....######.#..#..#.#####.####.#.####..##.#.#.#.##.#.##..##..###.###.###..####.#.#####.#...#..#.####..##.#####.###.###..#.#..#.##.#.###...##..#####..#####.##..#.###.##..#..#..#.####..#........#.#..#####..####.#..##..#.##.......####.###...#.###.#....#..##.##..##..#..#.#.#.##.####.###.##.#######..###.#.#..##...####.#.#.##..##....#.#.#.#.#...#.#....##..#.#####.####..##.###.#.#.###.##.##.##.#.....##.###.....###.#..###.###..##..#.....#..##.##....###.#...######...#.##.##.####.##..###.#########.#.##.#..##..#...###...#..#.#.##..#..#..#....#.#.#.##...###.#..###..###.#..#..##.#####.#...###..##...#.####....#...#.###.#.#.....###.....#.#.....##.##.#.....#.#.##...###.#..##.##.#.....##..##.....###.##.#####......##...##..#...#....###.###....####.#.#..#.#.##.#.#....###.....#..#####.##..#....##..#.#.##.#..#..####.#.###.#..#....#.#..##.##.###.##.#.#...#..#.....#####..#.##.##.#.#.###.##...#...#.#..#.##.###..#.#.###...#..#.####.#..#.#.##.###..#.#...##...#.....#....###.#..#.#.#.#..##.##..#.....#.#.##.#..###..##.#.#.##...##.#...#....###...#..#.######....####...#.#.#.###.#.#.####........#.....#......#....###.#.###......#.##.#.##...#.#..###.##.#.#....##..#.#..#....##.#....#.##.#.#....#.#....#..##.##...####..##.#..#.#...###.#...###..#..#.##.#...#.####.#..####.##..#.#.##.....#..#.####..###.#.#.##.##.......#.####.###.#..##.#.#..#####.#.#.#...#...###..##..#####.##...##..#.###.
.######.#.#.#..##..##.#.#...#.#.#.##.....#..####..#...######.#....###.###.#.#...##..##.####.######.#.#..##..#.#.#..#..#.##...#...###.#...#..#..#.###.....#.##.....#####.#..##.##.#...##..#...#..#.....#.#.#.##.##...###..#...##.######..#...#.##.#.##.######..#...##.##.#.#....##.###..#.#..########..##.#.##..##.#.#.#.##......##....##...#.##.##...##....####...#..####....#..##########.#.###..#..##....#....#...###.#......#..#.###..#.##.###......#.####.#.####..#.########..#..###.....#..#.#..#...######.#..#.....###......##.#.#.#.#...###..#.#.###..##.#.##.######.#.######.#.####.....#.####.#.##.#.###..##.#.#....#.#..#.#.###.##.#.###.#..###.#....#.#...##.....#####.##..#..####....######....#..#.##..#...##.#.#...#.#.#...#..##...###..###....#.....##...#####.###.##...###.#.#....###..#...#.#.#...#.#.#######...#####.##.#..#..#.#####.#....##.###...####.#...####.....#.##...#..#.##..##.##..#####.#.###.#.###...##..#...#.#.#.###...#####..##....#..##...##...###.##..#.....#.##.#.###.##.....###.##.#..#..#..######...###.#..#..##..#.####.##..#.#.#..#####.#.##..#.##...##.#.####..###.....#.###...##.######..##..##.....#####........#.##....#.....#.##...###.#.#.#.#.....#..#..#.##.###....#####....#.###.#...###.##..#..#..#..###..##.##.##..#####.#...#.##..#..##...#.#..#.########..####...##.##.#...##.####.##.###.###...#..#.#.##..##.##....##.#.#.#...#..#.......####.#####.#....##......#######.#..##.#.######.###.##...#.##.#..#..###.....#..####...#.##.#.#.##.#.###.###.#.##.....##....##.######..####....#.#..##...#...##.#.##.###...#..#.#...#...#..##......#..###....#####..#.#.###..#...##.##.####.####...#...##....#........##...#...#...#....#.#..#...##..#..#.####.#..#...#..#.#...#..#..##.#..#.#.#.###########..###..#..#.#.##.##.##.#...#.....###.#..##.##.###.###.####...#.###.##.#.##.#.####....#.###...####.....#.#..###.##..####..##.#.##.....#####..#.###..#.####..........##.....##.#...#..#.#...###..#...##..##.####.##..##.###....##.##...####.#.#.....##.#...#..#......##.#..#.##...#.....##.#..#..###....###.##.#..#..#...#
#..#.##.#.##.##..#.####.##...####..#..#..##..##..#...#.#..#.#.##.#.###.#.#.##.######.####..#.....####....#.#....##.###.###.#..#..#..###.#..#.#...####..##.#####.##..##.#.#.#.....#.###.#..##.####...##.##.##...........##..##.#####.##..#..##.#.....##.####......##.....#..####.#.#####.##.#.##....##...##...#.##.##....##.#.##.####.##.....#.#.##.####.#####.##..#..#..#...##.#.#..#....##...#.##.#..###..##..##.#.##..###..###.#.##..#####...###.#.###.######.#..#..##......##.....#....###.#####.#..#..#.###.#.##.###..######.....#..#..###...####.#.#.##.###.#....#####...##.#...#..#..#.......#..#####..#....##.#..#..##.##..###.#.######.##..#...##..###.##.####.#####.#..###.#.#..#....##..##..##..####.####.##.#..#.#.###...#####.#...##...#.....#..#.####..###...##.##.##....##..##.#.....##.###.##....#..#####..###....####.##...#.##..#...#.#.#.#####..#..#####.#########..#.#.##..##...#..#####.####..#..#.##..#...#..###...##.....#..###.#...###.#####.#.#...#..########......#.....#.#...##..####.##.#..#.......#..#.####.##..#..#.####.###.####.#..#....#####.##..##..###.##.##....#....#..#.#...#..#######...#####.#.#...#.####..##.####.....##..#.##..###..##.###..##..#..#####.#.##...#.....#...##.#...#..#.##.#####.#..##.#..#...###.##.####.#.###...##.##..###.###.#####..##..#.#.#####...#.##....#.#..##.#...##.##...#.#.#..#.......#..#...##.#.......###..#..##..#######.....####.###.#...#####..###....##...###..#......#....#.#.##.#####.######....##.#####.......#.#..####..#.#######.##...##..###....##...####.....#.##..###.#..#...###..###.#....#.##.##.#.#..###.##.#..#.##....#.#..##..##..#...##.....##.#.#.##..##.#.###..####...##...####.#####.###.##.###...###..#.##.#.#.#.#..##.#.#...#.#..#.##...##..###.#.###..###.####.#.....#.....#..##..#.##......##.#.#...##....#..##...##.####...#..#.#.#..#.#.#.#.#.###...##.###.....#.......#.##.#..##...######..#..##...#.##.#.#.#...###..######...#..#.###.##.#.####.##..###...#.##..#.#....##..#..##.##...#..#.#######.#..##..##...####...#..###..#.#.##.#####.#...#..#.#######...#.###..#.####...
...##..#.#...#..#.#.#.#.#.#..#.##.##.##.##.#...##....###..##..###.#.#########.#.#...#.####.#.###..#......##...##..##...#.#.#.###.#####..#...#..#.##.###.##........#.#..#...###..###...#....##..#.#.#.##..#.###.#.###..##.#.#.#.....##.#.##..#.#.#.##.###.#..#.#.##.#####.##...#.#...######.##.###.#....#...#.#####.#......#.#.....#.##.##.#.###.####.##..###.#..##.#####..####..#.##.#####.##.#.#.##.#.####.####.#.#..##.#####.....###......##.#.##.##....#.###.##..#.###..#.#.##.###..#.#...#.#....#...##.###.#.#.#.###..#####.....####..#######.#....##.#.##.##..##...##.###..#...#.##..###.##..##.#..#.#...#...########..###.###..##.#.#.##...#.###.##.#.#..###....##.#####.####.#.##.##.####..#....##....#...##.##..##.##...##.##.##..#..#.#.#####...#.#.#....#.....#...#######...####.#.#.####.#..##.....##..###.#####..####...#.#.###.#.##..##..#.###..###.#.######.#.#..##.##..##.##...#..#...#.#.#######.#.#...#..##..#..###.#..#.##.#..######..###...#.#.#.##.#...#..#..#..#####.......###.#..#.#.###.###...##.#.....##.#####...#####.#.#.#####....##.#####...#...#..####.####...###...##..##..#...###....#.#.##.##....##....##.##.#.#..#####.....##.#.###..#.#.###...#.#.....##....#.##..##...##.#.....###.#.#.#.#.#..##.####..#.###..##.#######....#..####..#...##.##.....##.###...##.##...#..#.#.#....##.#..####..#####..##..###.#####..####.##.#.#.....#..##########.##...##.#.##.#.....#...#.##..##.#.##...###.###.....#####...#######.##..#..###...##.###.###.###.##.....#.##..####...###..######.#######.#######..#...##.#######..#....###.###.#.#...#.##.....#..#..#.#..#..##.#..##.....#.#.###.###.#.#.#...#.##..##.###....#...#..#..#.##..#####.####.####.###..##.....#.#####........###..####..#.#..########.#.#...#....###.###.##.#.##...##.#.##.##.#...##.####..#.#.###.#.#.#..#.#.##.#.#.#....##...##..##...##.###.##.##..##.#...##.###...#.#.#######.###.#.####..###..#.####.......###........#.#######..#.##.....###....##.####.##.....###.##..##.#.#.......##...#..###.#.####..####.#...#...##..#..#.#####..##.##..##.##.##.#.#####...##.##.##.###..#.
###..#...#..#####.###.##.##.##.#.#.##.##..#..##.####.#....##.##..#.......###....#.#####.######.###...##...#..###.##.#....##.#.##.#.#..#..##...#.#####.###.##.###.###.#####....#....####..###.#.###.##.##.###...#####.#..##..#.#...#.###....#..#.#####..#..#.##.####.#.#...#..###.##.#.#....#.##...#..#.##.##.##..##..####.#.###.#..##..#...#.##...###.##.#.....#...##..#...#.##.##...#.#...#####..##.########..####.#.###..###.....####.####..##.#.##.######.#####.###..#.##..###.###.##.........##..####.#.....##.#..######.#.##.#..##.########...#.#####....##..##..#..###.##.#.#.#.##..###..###.##.#..#.#...###..######.##...#######..##..##....##..##.#####....#..#....#####...##.#..#..##.####....##.####.###.#######.####..##......#..#.#####.....#...#####.######.#....#...#.#...##..#.#.###....#.#...####..#..###.##.#...##...##..###.##..#.#...#..#......#..#.#.#..######.##.###..#...##.#..#...#.###.##.##.#.#.#...###.........##.....#.#.#.##..#.#..#..#.######..#....#.#..#..#...####..#....#..#..#....#..##...#..##.##..##..#.######.#..####..#...#######.####..#.#.###.##..#####.###.####..#....#..#..#####....#..#.####..........###.....#.##....#.#....#....#.#.##.#####..###...#.####..#..##.####...####..#.##..#....####.##...#...####......#.#..##..#.#.#......###..#..##.##.#...########.....#.....#####.#.###..#...###.#.###....##.#.#.##.....##.##.#.#.#####.#..##########.##.####.###.#####...#..#...##...#.###...#........#..##..####.#...###.###..###.#...#.#..#.##.#####..#.#.#####.#..##.##...#..##..#######.#.##.#.###..#..#.#...#..#...#.####.##.#...#.#.....##.##......#...####..#..#..##.##.#..#..##..#....#...###.#......#..###..#....#......#.#..#######.###.##....#...###.#.#.##.#...#.....##.#..#..####.#####..#.......##.##..##..#..####........##.#.##.##.##.#.#.....#.#..#####.##.######..#....####...#.#.##..##.#..##....###.#...#..##...##...#..#.#.#....####..#.....#...#......#.....#####.#.##...####...##.#..#...##.....#..#...#####.#.##.##.##.#######..####....#.#.#.#.###..#..##.###....######...##.#.###...##.#.#.#.#....##....##
##.###.#...#######.....#.##.#.##.#####...#.#..##.#..#....#.##.#..#.#...##...####.#.#....#...##.#....####.###....####.....#.........#...##.#.####......#.##...#.####..#....##.##.##..#...#.#..#.#..#.#.#.###.#..###.#.###.#.####..#####...####..#....####..####.##.#.###.#.##.###.#.#.#.........#..#.....#.##...#.#........##.##.####.##....##.#######.##..###.###.#.######.#.#...#..#.......##.##...#....##.#.#....###..##...#..#..#....##.##..#..#.#########.######..##.##..#..#.#.##...#.#####.#...#.##.###...#.##.###.#..#..#####..##..##.#.#.##..#.....#.....#.#.#..###.##.#.#..#.....#....#####..#.#####...##......#.##..#.##..#...#####.#.###..#..##.##.###.#..###..##...#...######..##..####.#####.##.#.#...#..#.##..#####.#..####..##..###..#....##...#######.#..####.#.#...#.#.#.#..###.#..#........#..#.#..##.####.###..#...#.#.#####...#.....##...#####.###.##.#.######.###.#..#...##...##.#..#..##.#####.#...###....##.##.#..##.####.#..#.#####.##....###..##.###.#.####....#...##..#.##..#..#..#..#.##.....#.#...###....#.##..###...#..#...#..##.#..#.#####..#..#.#..#.#.#.....##......#....#..######.##..#.....##.#.###.##.....#..##...#.......#.###..#...#..##....#..###.####.###.#......#.#.#...###.###.#.#..###...##..#...##.....##.#...##.##.#..#..#.###..#..###.......##.#..###...#.###.....#..#.....#..#...#.#...#.####.#..###......#.#.##.....##...#...#.##..#######..####...##.#..#...###.#####.######...##..#.#.#..####.#.#.###.##.#..#.##.##......#.###.#....#.##...####.##..#.....#..##...#.....#.....#.###.#..#.#.#####.##......#..###.###..#.###...###.##.#...#.#.###..###..#.##.#####..##.#####..##.#...###.#...#..#.....#.#.#...#..#.##.#.##.##.##.###..#.#...####.###..##.#.###..##.###.....######..####..###.###.##..##.#...#.#.#.#..#..##....#.##.#####..#..#...######..#.#..#.####...#.####.#....###.##..##..##.##.##..##....##.#.########.##....##..#.#...###..#..##...#####..#.#....#...#..#.#.#.##.##..##.#..#.......###...##..#.##.......###.#..#...#..#.#.####...#.###...#.#..#..#.###.#..##..#.###.####..##..#..##...#...##..##....#.#..#
##.#....##..#..##...#.#..#.##..##..##.#.#.#.#.#####.#..#..######.###..##...#.####...######.#..#####..##.....###.#.#.####.....#.###.#....#.###.#.#.##.#.#.#..#.#.##.###.#....#.#..#..#.#.##..#.##..##.#.#####.###...##..##..##.#######.....#.##.#.#.#..#.#.###..#.#.#...#..######....#......#..#.#......#.##.###.#..#####..####.#.##.##......#....##.###..#..#..#.#.####.###..........###.##.#.#.#..##...#.#.#.###..#..#....##...#..###.#######.##....###.##.....##.#####.#.#..#......#..##.....#....#.####.#.###..#####..###.##..###.###.#..#...##.....#####.#.##..##...#....#..####...#..#.#.###..#.####.#...##..##.....#..#.###.#..###.##...#..##.####..###.#.#.....#...##.####...######....#..###....#.####..###.#.#..###....##.#.##.#.........#...###....#.#######.#.#..#..#....##.##...#.#.##.#.#.#..####.##......#.###.....###.#.###.####.#.###.....#####..##..###..###.#..#..#...##....#.#..#.#....####..#.#......#.##..#..#....#....##.#...###.#...######.#...##.##...#...#.##.#.#####....#.#.#...####.###..#..##.####...##....#..#.#.#.#.#...##..##...##.#.#####....##.####.#..###.##...###.....######......#..#######..##...#.#.##.###.#.##.#..##.#...#.#.#...##.#.#.##.#....#.#.#####.##....#.###.##....#.#...#####.....####.##.##..#...##.#.#.###.##.##.#..####.#....#.....#####.#...##.#...##....#####..##.##....##.#..#.#.#.#.#..##.#.#...##.######..#.##..#.#.#..##.#......#.#.#..###.#..##.....##.#...#.##.#.#.##..##.#.##.####..####.#..#..#.#.#.#..#...##.#.###..##.#..#..##.....#...#..#####.#......#.....#...##.#.#####.##.#.#.####.###..###...###..###.....#.####..#....#.....##.#...##.###.#..#.##.##.#...#.###..#.#.##.#.#....####.#..##..#.#..#.#.###....#.#.#.###.....#####..###.###########......##..###.#.#.####.#..##...##.##.###...##########.#.#.###.#.#.#.#.#.#.#.##...#####....##.##...#...####.#..#.#...#..#...##....#.##.#...##..#..#.....###.###..#.##..#...#..##....#..#.#..##..#..####..##.#....####.#...##......#.###.###.#....###..#.#...###.#..###...#.#..####..#..##....#.#.#..####....#####.#..#####.###.#..#...##.#.##..#######.....#
.###....#.######.###.##.#.##.#####....###...#.#.....##.#####..#.#..###.####.....#....##..###.###..#.#.##....#..##....##.#.###...##.###..#.#...#..#####.######...##.#.##.###...#.#..#.##..#...###.##..#..##.....#.##..#.###.#.###.###.#..#......#######.#..####.##...###.#..###..##....##.##..###.##.##.##....#..#..##.##.#....#..##..##..##.#.#..#.###..#..#...##.###..##.#.........#####..####......#.#.#.##..#######..###..#.#.#...##....#....#.......#..#...##.#.####..#.#...#...####.###...##....#.#..#.####..#.#......#.###.#.......#..###.########.#.....##..#.#.#.......#####.#.#######.....##.#.#.####.....#..#.#####..#.####..#.#..#..#...#..#..##..#####.###...#......#.#....#.#.#..##......####....#.###.#.#####...##.##...##.#.##.#.##...#....#....##.#.#..##..##.####.######..####.####...##.##.#..........#..#.#...#..#.#.###...##.####.######.#.#....#.....#.##.#.#####.#####...#.#..#...#..#.#.#.###..#....###.#.#.##.....##.#..#.###..##.####...#.##.#.#.###.#.###....#.###.#..#.#....#####.####......#.#....##..##.##..#..###.#.#..###...#..###....##.######.....#..###....##...##..##..#.##..#...##..###.#..##.#.#.....###.#...###.##.##.#.#....#.#.####.#.##....##...##....#.###.#....#.#..#..#.....##....#.###..#...##....#.##..##.##.#..#.#.....##......##.#####..###.#..###.#....#.#....###...#....##...###...##.#.#.##..##....##.##.#.#.######.##.#.##.##.##....##.#.####.###.##.#.##.########..###.##.#..#####...###....#....#..#.#..#..#..#.#...####..##..##.##.#...#.#.###.#..#...##..##..#.###........#....#.#####...#...###.....#.....#.#...###.#####.#.###....####.##....#.#.......##.##...##.#.##..###.#.###...#..###.###.#########..#..##.#.####.##.#..#.#.#.#...########.#....###.###.#.....##.#...###..#.##.#.###.######.###..##.#..#....#.#.....#....#..####.#.##..#...#..###.##.##.#..##..##....####.#.#.....#.#.#.#..##.###.....##.#.#.##...#...###..#.##.##.#..#.##..#..##.##.##.###.#..#.#.#.########..##..##....#...#.###.....##....##..###.##.........##..##.##...##..##.##.######..##.###....###.##.....###..##..###.....#..####...#.#
##.#######...#..#.....#.#.###.##.###.###....#........####...#..#.##..###..##.###...##..###.##.#.#...###.....##.#...##.#...##.###.#####.###....#.#.#.###.#.#.##.########.######...##..#..#..#####.###.##.######...#.##..####.##.###.###...#....#....###.....#....##..#.###.#..##...####..###.#.#.#.....#....#########.##.###...##.##.........##...##...#.#...#.######.#..###.###.#.##...##..###..#.###..#..####....#..##..######......#.#..###.##.#.#.##.##..##.##.###...#####.##.##......##....#.....#.#....###.######..###..#...#..#.###.#.#...##..######..##.......#.##.#.####....#######.####.#...####.#####.#.#.#.#..#...##.#.##..#####.###.###......#.#.#..##....#.#.#.##...#.......#######......#...##.#..#####....##...#.#....#..#...#.#.####.#.#......#..#.....###.#..#.##.##.....##.#.###...#..#...##..###..#..#.#.#...#.#...###..#.#.####.#.#..#.##.#.#..##.#...###...#.##..#.....##.#..#..#....#.#.#..#..###..###...#..#...#..#.#..#..##.#......#.##.#.#..##.#.####.##.###.####...#.#...#.#.....#.##.###.#..##..##..##.#.#.#.##..##.#.#.###.####..##.#...#..###.####...#.....#.####.##.##.#....#.....##....#.###..#..####.##..#.#.#....###...###.###...##..#####.#.###...##....#..#......#.........#...####.####.....##..#.#..#..#...##..##.#..#.##.###.####..#.#.#.#.##....########.#.###.##....#....####.#.#.#####.#..#...##.#.#.......#.#.#.#.#..#.######.##########..#..#.#.......#.#.###....##..#.#....#####..##..#.........#..#...#..#.#.##.#####.#.##...#...##.#####.#..##.#.###########.#..##.#.#..##...#.#....###.#.##..#..#.########....#...#.#.###..#.#..#..########...##.#..#.#...#.###..#.###..#..##.##..###.###.#.##.#.#.###.#...##.##.###..##.##.#.##.##......#.##...####.#...#....####.#..##....#####..#.#...##..#####...####....#....#.#.##.###..##.#.#.#.#.#.#.....###..##.##.#.#.##...#..#......#....###..#.#.##.#.###...####...###..##..##.###.#....#.##.#.#...#..#..#.#..#.##..#.##.#.##..#..#...###.#.##....#.######.###...####...#..#....#.#.#..#..##...####.#.###....####...#..#...#.##.##.#.#.###..#.##.#....#...#.#.##....###...#.##.#...##
##.#.#.#.#.......##..#.##.#...##..##......#...#.#...##.#....#.#####...#..#.....#....###.#..##.##.###.##.###.....##.#.#.#..#.#.##.....##..#..#.#.###.######..#...#####...##...#.###.#.######.##...#.#.#..####...##.....#.###...##..###.##..#......######.###...#.###...#..#..#.....##..#..#.#.##...#....#..###....#....##.....###.##.##......#.....####.....#.##..###.#..###.#..#.....###.#..#...##..##..##..###..##.###.#.....#..######..#.##.##.#.#.##.#.##.#....##.#.##.###....#..###.##..####...####.###.#..##..#####.....#..##.#.#...#..#.##..###.##.#....##.#.##.#...#..#...#..#...#...#######....#.#...#.##..###.#.###..#..#..##.#.#..#..#.#####.##....#..##.#.##.#.#..#...##########.##..###.###....##.....###..#.#...#..###..######....#####..##.#..###.#.##.#...##.###.#.#.#..##..#..#.#..##..##.###.#..#.####....#..###.#.##.##...#.......#.#.....##..#####...####..#.##....##...#.#..#.......#.#.#####.#..###.#.###....#######..#####..#..#.#.##.#.#.#.#..#...#....###.#.#..#.....#..##....##...###.###...###..#.#.###.############...#.#.##.##.##.#..###.#.###.###..#.##...##..##...#..#.##..#.#.#.###.#.###...###....#####.##..#.#.#.#.#.......##....##.#..##...#..#.#...#.#........###.#.#.#.#####...####...#.##.#.#.####.....#.#######.#####...#...#...##.###.#####.#....###..##.###.###..#..#.#.##..##...#.##..#.#..#..##..##...###..#.#....##.....##.##.....#..####.#.#....###.##.#...#.###.##....#..#....####......########.#...###.##.##.#....#.#.#..##....#..#..#.#.####.#...#...###.####...#.#.###.#..##.#.#.#...#.##..#.....#.###.#..##..#.#....#..#.#.#..##..#.#.#..##...#.#.#..#.#.........#...##.#....######.....#...#.#...#.#.##..##.#...##.#####....#.#..#..#..###..###....#...####.....#...#..###....#......##..####.#..#######.#...##.##...#.###..##..##.#.#.#.....##.##.#.#...###.#######.....#.#...#####.##..#.#....#.##.###..#.#..##.##...##..#..#.###.....######...#..#..#.###.####..###.....#.#..#.#....#.....###.#.#..##.##....######..#####..##.##.....#.#....##..#.#.##..###.#######......#...##.#.###..#.#..##.....#...#....#...#.##..#.#.
.###.##...##.#...##.#....#.#######.####.#..#..#.#....##.#..##..#.#######.#.##....##..##..#.........#.###..##..#.....#..##.#.#.#.#...###.#..........#....#.##....##.#.#...##.#.###..#.##.#.#.#.##......###.##.#...#.#.#.#....##.##...#...###.........#.###..#.#.#.##.#.######..#.##..#######.#..#...#.#.#.#.#####.###..##.##.###.##...###..#.....####.#.###...##..#.#####.###.....##########......#...#.#..#.##..#.#.##.#.#..####.#...##.#..##........#.#....##...###..#####..#.#.#.####.#...##....#######..#...##...#...#..###.##..####.#.##.#.#..#.....##...#.#...##...#...###..###..##...#.##.##..#......#.####.#...##.#....#....#..#.#..##.###..##..##..##.######.#...#..#####.....##.#####...#.##....#.#..#...##.#.#.#..##...#.#.###.#...##.##..#.##.####...#......#.##..##...#...#....##.#..##...##.###.#.#.#.#.###.##....#.........#.#.#.....#######.####...#.....#...#..#....##.##..#..##.##....##...#.#.#..##.####...##..##.#..#.#####.####.#.###.#.####.#.#########...#.......###.##..##.##.#.#######.##.#.#.....####.#.#.#####...#...#.#..##.#..#..#.###.#..........##....#....#.#...#.#.#####.###.###.#..#.....#.#..#.##.##.###..#.#.#.....###.#.#....#...###...##.##...######.#..###..###...#.##.###.###.###.#####..##.#...#...#...#......###.##..#...........#.#.#.#..##...#####.#.#.###.....###..######.....#....#..##.#.#.##...##..##..#..#...#.#..#.########.##.#.#.###..#.#.#..#.#.##...###..##.##...##.....#.....#.#.#.#.#..#.#######..#.###.#..#.#...##.#.##..#.###.#.###....##.#..##..#####...#..#.#..#...#...#.###.##..###...#.#####....##...#.##...######.#..##.......#.##..#.##..##...#.######...#..#.#..###.#.#..#.....#..##..##.###..#........#..##...#.######.#.#.###.#.#.#.#..##...#..###.#...##.#.#.##.###...#.####....###....#.....##.##...##.....##.#.....###.#.#.#.#....#.#.###..#.##.##...##.####.#..#####..##.#.##.....#.#..####..##.##....#.##.##..#.##....##.#.#.#...#####.#.#..###.##.##...#..#..#.###.#.####.....#.###.#..#.##.......###.#.....#.#####..#####.#..##..#.....#.#.#..#...#...#.###.#..##...#.#...##...##...##..#..#.#.#####.#.
####...#..#.....##.##.##..#####..#..###.#.#..#.#...#....##..#.#...#.##..###..#.#..#.......#..########.##..#..#.#....##....#.#.#.......#..##...#..#..##...#..#..####.#..#...#.#####..#.##.......#.##.####....##.#..#....###.....##.#.##...#.#.##.#####.#.#..#..#...#...##.#.##.####.###..###.#.##......#.#.#..#..#.##..#..#...#.##.#....#............#..#...###...#.##.#...##.#.#...##.#####.####.#...#####.#..#####..#.....####.#.#..########.....##.###....##.#..#.##.######.#.####.#..#.##.###..#...#..###..#.#..##...#.#######...##...####..#...#..##..#.##.###########....###.####.####.###..#.######..###..##..##..#.#########.#######.##...#.#....##..##.###..#.....#...#..#####...#.##..#...##.##..###..#..####..##.#....###...###.#.........#.#..##.#........#####.#....#.####.##........##.##.##.....#...##.#..#.####...###.#....#.#.#.#.####.#..#.###....#.#.#.#...#..####..##..##.####..#......###.#.###.#..##...##.##.###...#.###..#..##..##.#..###.###.#.#..##..##.###...#...##.###.##.#.....#.#.##########..#..##..#...#..#..##...#.......##...###.#.##..#.#...#.###..#.##.##.#######.##.###..#..##..##.#.###..#.#.######.....###..#..#.#.####.#.#......####.###..####..##.###...##...#..##.##...###.##..#............###....##..#....######..#..##.##.##.##....#..#......##..##.###.#...###.#####.##.#.#...####....####..##..##.#.#..#.##.##.########..#.#####..##.....##..#.#.#..#..####..#.#..###.####.###.#####.#######..#...#....#....###..#.##....##.....###.###...#..##..#.#.#.....#....#...###.#.#.###.##..#....#.#.###...####...##.#.#.##.#..##...#.#.#.#######.#.......#.#.#..#####.###....##..#.##.##.#.########.#..#..###.##...########.#..#.##.#.###.#...#..##.#..#...##.##.##....##.....####.##.###.##.#.#.######.##...###.#....##.#....###...#.#.#.#####.####.#.#...#...##.#....###..###.#.####.#####.###........##..##..###.....##.#...#.##.##.#..###..###....##.##.##.#####.#...##..........##.#.#...#.#.##....##..####..###.##.##..#.##..#.##.#.#.#...##.##..##.#.####...#...##..##.##.###.##...#..##..##...#..##.##.#...#....#...#..#.#.##..##.
#.##.#..##.#....###.#....###.###..#...###.##..##.#....##.####.#...#.###..#.####.##.######..#..#.#.#.##.#.#....#.#.#..#.##..##..#.#.#.#....#..#.###.#####...###.#..##..#.#..#.###...###..###.##.......#....######...##.#.....#.#...##.####.##.###.##..#...##.##.###..#.......###..#.#######.##.......###.....#..#...###.#.####.#.#.##...#.#...#####.#.#.#.#.###...#..#..#.#..#...###.#.#.....#....#...#..###..##.....##.##..#####......####.#...#.....#####.#.#.#####.....#..#..##.#.#..######...####..#.###...#.#.#.##..#...#.#..##..#.#.#######.#####....###.#.#....##..###...##..#.###.#######.#.#############.##....###...#.####.##...#...##.#.###..#...#..##...#..###...#...#.#......#.##.####....#..#.##.....##.#..###.##..#####....###.#..##.##....##.#..###.####.#.###.##..######.#.##.##.#######.#.##..#......#.#...#...####..#####.####.##.#.##.#.###.#..##..####.####.####...##.#...###.###.#..##.#.###.##.#.##.#.##..#.#.#.######......#.#####.###...##..#....####.#....#####..#.###...##..##.##.####.#..#.#...####.##.##.##..###..#.##.##....#.#.#.##.#.##.##.#.#.#.#.#..#..##.#...#..####...##.###.#######.###.#.###..###.#.#....###.#.#...#.#......####..##.##.##..#.####....#...##...#.#.##.###....###...##..####......##.####.#......##.##.#...#.##...#.#.#.#######..##..#.#######.....#...##.###....#..#.#...####.##..#.#.#..#.#####..#...###..#.######..##..##.#.###..##.#.#.###...##....#.#.......##....##...###.....#..#.###....########.....##.#.#.#.##...#.#..##......#.#.#..#...####.#.#.#..#..###.####..###.##.#.##..###..#.#..##.##..#..#..#..#..###.#...##.......#......#.###..#.#.#..#.#.#.....##...##....#..#...##.#....#...#..##..####..#..###....#..##..#.#.####.#...#..#.........#..#....###...#..#.###.###..#..###.#.#######....##...####..####..#..###.###.###..###..#..#.####.#...####.#.#####.#.####...#......###.##.######.###.#.##.##..###.....#.####...#..##.##.#.#.####....#.##.#####....#.##..##.#..###.#.####.#...##...##..#...#.#.......##.#..##.#.....#......#....#...#.#.#.#..#.###...#..#..###.##.#.#.....###.###.###..#.###...##.#
#.##..#.##.....##.####.#.#..#.#..#.#.##.#...#..#...#......#.#.#.#..##.#####....#.##.#..##.#.###..#........#..###.#####..#..#.###...#....#.#########....##.#.##.####...#.##.#.###.#...#####.#..#..###..#.......##.#.##.#....#.......###.#.#.#.#.###.#.#.#.##.#.###..#.###.#.#...##..#...#####.###.###.#...######.#.#.##.#..#.#######.##.####..###.#.##.##.##....#.#.#.##..#.#.#..#####..#..####...#.#.#.####.#....####..##...#.#..####.#.##.#..#.#..###..###...#...#####...#.##..#...#..##.##.#..######..#....#.....#.##..#.#.##.#....##....#.##.##...#.###.##.#....#.##........##.##.#.###..#..#..###.#..####...#.##..#..##.....##.##..###.###.......#####...#.##......##.#..#.#...###.######....##..#.#..#.#..####.##.#.##.##....##.#.#..##....#...#.....###.###..#.##.#.#.#.###..#.##..#.#..##....##.#....##..#.####..##.#.#.#.####.####.....#.##.#....#.###.....#.#.###...##..###.#.##.##.#...####.#.##.#.....#.####..##..#.####...#..#...####..##.##..##.###.###.#.##.#...#...####.##.#.####..#..##.##..#.....#..#.#..##..#.####.#......#.#.#.#..###.#.#..#.##.#.##.#....#.#.#.#.#.#....#..#..#.#...##..#.#...#.#.##.#.#.######.###..#.#####.##..###.##.#...#.#.#.###....#.##..##.#.#.###..####.##..###.##..#..#..###...###..#....#........#..###..#..#.#.#####..##.######.#.#...#..######.##..#....#.###.##.#....#.#.###.##.#..#..#.#...##...##.####...###.#.#.###.##.#..##.#...#..####.####..###.##.##...#..#..#..####.##.##...##...#.#.....##.#..#.#..#.##.##..##..#.#..#...#.##.###.#.##.#.#.#.###.##.##.###........###.###########.#...##.####...#.#######..#..#.##..#..##..#.#.####.#..#.#.######...#..#####.##.###.##...##..##.##..###.##.#.#######...#.##...####...#..###.####..#.#.#.#.#....#.#...#...##.####.#.######.#.#...####.##.#.#..#..#.#.#...#..#..#.....#..###.##.#..#.#.##..####...#.##...##.#.####...###.#.##.##...#.###....######...##.#######.#.#.##.######.#...#.#..###..###..##.##..######.#.#...#.#.####....#....####.#..###...#..#..#.##.##.###.##.####.#.#.###.#...##.##...##...####...####..##..#..#.......#.#.###...#....#.#...###..#.#.##.#.#.
..#.#.#..#.#....#..#.##.#####...#.####.#.#.#.#.##.##.#.###.#.#.##.####.###..##.####..##.....#..#...###..#####.#..###.###..###..##.##..##..##..##.#.#..##...#.....#...#....########.#.......##.#.#..#..###.....#...#..####...##.#...#..##...##.###.............####.#..#..##..####.#...#.#.#...####...#.#.##.#####..#..#.#.#...#.###...#.....####.....##..#..##.####..#..#..#..##.#####.#..#.#.##.##.......#.###..#.#..######..##.#..#...#####..######.....###..##...###...#....####...#..#...#.#.#....#..##..#..##....#.....#..#.###...###.######.#.##.#.#..##.#...###.#.#....###..#.....#.###..#.##.####.....#....#..###..###.##......#....##.#........#.....#.#.#.#####........###.#.######.##.#.##...####.##.#.##.#.....#.#.####.##.#.#.#############.#.#.#..#...#.#.#.##..#..##..#..##..##.#####.#######..#####.#.#.####.#..#..#.#..##.###.###.##....##.##.#...#......######..#..#####..#.##.#...#...#..#...##.##.##.#..#.##....###..##.#..#..#....####.##.#####.#.#.###.#.##.##.###..#.#.#..###.###..#......#.##.#.##...#..####..##...##.####.#.########..#####.#.####.##..#...##.#.##.......##..##..#.##.#..#.#.#...#...#....##.######.#.#.#...#....#.##.##.#..##.#.#.#.#.#.#########..###...#....#.#####.#.###.##.#....#..#........###.##.#.#.#..##.##..#.#.#.#....#.#.#.###.#..##.#..#.###.##.####..#.#.#..#.#.##.#.#..#..##.....#####..#.#..#.#.#.#.#.###..###.##..##..#.#..#..#.#...#.#.##.#..##....#..#.#.##.#..##......#.#..###..##..##..##....#..##..####.##.#.#..#.#..##.##.#....#.###.#.##.##...#..#...#.#...####..#..###.#....##......#..##..###.......###...##.....#..#...##.....#..#.#..#..##.#.##..#..#...##...##..##......#.#.####.#.#....#.###.#.##...#.#.#.#....##.##..#.....####...##.....##.##...##..#......#..#.#..##.#.##.#...###..#.###..###..##...####..#...###..###...#.#.##.##...###.##....#...###.#..#...#.#.#.##.#..####..##.##..##.#...#.##..######...###.#.#.###..##....##.#.#..###...###..##.###.####.....#.##.##..#..#........##.#.#.##.####.#.###..##.##.....##......###..##..###.##.#.###..#.##.##..##.#....#.##..#.#...#.#.#..######.###.
#..#....#...#.#..#.##....####..#.#.#..#...#.#.#.#..#####..###...####..##.###.#....###.#..#.###.#...#....##...####..#.##..##.#....##.#.#.....###.#.##.#....##.#....##.##......###..##..#.##.#.....####....#.###.#..###.#..#..##..#....##.#...#...#.#.###.#.##.#....##..#..#####..##.#.##..#.....##.#.#.##...#...#.##...#######.####....###...##.#...#.####.##....#.##.##...##..#..#.#.....#.###...##...#.##.####.##...#.#...##..###.####.##.##.....#.#..#.#..###.###..#.###.###.####..###..#.#...##.#....##...##...##...#.#.#....###.###....##...#...##.....#..#...####.#.####..#...#..#####..#..#..#..##.#.##.##...........#.#....##...#..######.....##...#....#.#.###.##....#.##.#.#.#.###.#...#.##.##.#.#.#...##.##.###..##..##.#.#######.###.#.#.#.##..#.#......#..#.#..#....#.###.#.#####...#.#..##.###....##.##.#...###.###.##...#..##.#.####........#.##.###.........##...###...###....##.##..#.##.....#..##.#..#.#..#.###.....##......##.###.#.#..##.#####..#.###..##.#.#..#.#...###.###...#.##.##.##.#...##..####.#.####....##.######.#...#.##.###.#.#.###..##..#...#.#.###.#..#..#.####.#...##.###.####.##.####.#.####.####.###..#..#.###.....##......##...#..###.#...#..##..##....#.##.#...#...#..##.#####.#..########..#.###....#.####.#........##...####..#...#.#.#.#.####..........#.#.#.###...#.#..#..###.#.##.##...#.#.#.####......###.#....#########.#######.####.#..######..##..##.#...##...##.##..#####.#####...#.##.##.#.#.##.#.##..######..#######.#..##..##.###...###..#.###..#.###.######.###...####.#######..#...#...###..#.#.#.##.#......#.##.####.###..#.#.###.##..###.#.##..###.##.#.###....##....##...#..#.####..#.#.#..#..#.##.##...##..##.##..........######...#.#..###..###...###..#.#.###.....#.###.#.#.####.##.##.#...#.#....#.#.#..#..##..#..###..#..##...#.##...##.##.###.#.##.#.####..#.#.#.#..#...##..#.##......##..####...#.##...##.####.#.#.##.#####.#..#.#.##.#..#.###..#...######..###.###.##....#......######....#...###..#..##.#.#..##...#.##.#.#.....##..#....##.######.#..#.##.##..#..#####....###..##.#.#..##.#....#....###........
.#.##.#.#.###.####.#.#..###.####.#.#.#...###.##.....#.##..##.#.#.#.#.###.####.#..##.#####..###.####....##.#.....#.#..#####.....##...##....#..#.#.#.####..#.#.#..#..##..#####...#.####..#....#.##......##.##..#.####...#..#.##..##....#.##....####.#..#.#.##.....#.##.##..#.#.###.#.#..#.#....####.#.#....#..........####..##..#.#.#..#.###.#.##.###.##.#..#.###.##...#..#...#.#.....#.#.##...###..#..#.#...###.###...#..###..###.#.#.#.#...##...#.###.##..###.#.###.#...#..####.#.##..#......###.#....#.#..#..........##.###.##.....##.##.#....##..#.#.#....#.#.#.##...###..####.....#...####.#..##.#...###.##.##..#####...###.#.#.#.##...#.#.####.########..####...#..#.##.###.#.#...##.###.#....###.###...#..#.#...###.###.#.#....###.#...#.#.....#.###.##.#.######...#.###..#.#.#...#####.####.###.##.......##.#.#.####........#.##.#...#..#.###.###...#####...#.#...####.####.......#..##....#..#.#....#.##.......#.#..#.#.....##.#.....#.#..#..##.#.#..#...####.#.###..#...#..##....##.#.##..#..#.#..#.....#.#..##..##..#.##.#.##.####.##.#.#..##.##########...#..#.####.#..#...##..#..#..##.#.##.##........#..####...#...##.....##.....###.###......#.######..#.##.#.###.......#########.###...##.#..##.....#.#...##..##.#...#.....##..##..###.#.#.#.#.#.#..##..#..#.....##..#....##..##..#####.#.#...#.#...#.#.#.#.####...#.##.#..#..####.#.##..#.#.....####.#.##..#..####..######.#..#...##..#.##...#..#..#.#..#.#..#.##.#.#..#..#.#........##..#..###.###...##...##.#..#.##.##..#.....#.#.##..####.#.#....#..########.##..#....##...#..#....#.#...##..#..#...##..####.####.##..#...#....#...####..##.#..####..#.#...##.#.###.##.######..####.###.#..##...#..#.....###..####.##.###.#.#.##..###..###.###.##..#....#.#.#.#.....#####.#.#....#..##.##..........#.###...#####.##..#.##.#.##.##..#.##.#####.#..#.##.##.##......#.##.#.###...#.#.##...#####.##..#.#...#...#.####..#.#.....##..###.#######...#.#...####.#..#...###...#...#.#.##.###....#.#.###.#.#.###..##.###.##.###....#...##....#.##...####.#####...####..####...####...##......#####..###.#####.#....####.
#.##.##...#.#.##.####...#..###.##.#....#...#.##.##...#.##.#..#..###.##...##.##.#..###.###.#.###.#..#.....##.###.#..##..##...#...###.####.#..#.#...#.###.#.##..######..##..#..#...#...#....#..#.##.#.###.##.#....##..#....#..####.##..#.###.#.####.###.##.#.##.######.#..##.####..#####.##.##..##.#..#.###.#.###...#.#####.#.#..####.#.....####........#.#....#####.##...#.....#.#..#.##..#.#....##..........##.#......#####...##..#.....##..#####.#..#...#...##.#.##.#.#...##..##...###..#.#.##.###.####.#.....#####.#..#...#.##.#.#..###..#.#.##..#.###...#####....##..##...#...#.#.#.#..####.#.....#.###.....#.#....####.##.#..#.##..#..##...##.#.#.####.#....###..##.#....##........###..#.#.#..#.#......###.#....#......##.#.####..#.##..#......#####......#.........#.#..##.#....#.#..#..#..#.##..#...#####.##.#.###.#.#...#.#..#.###.##..#####.#..#.#...#.#..#...##..#..##.#..#.####.....#.##..#..#...#...#.#..##..#..#..###..#...##.#..###.###.##.#.##.#.##.#...#####.....#.#...#.....#..##...#.##..#..###.#.###########...###.##..###..##.#..###.##...##.####....#.##....#.##.##..#.##....#####.###.#......#.#...#.#.###....###.....###.#.#####.#####.#.####.##...####..##.....#..#.##.#.#.###.##......#..###..#.....##.##..###.....#..#.########........###..#...#.#..##.#.###.####..##....##..#.###..#..#.#.#....######...#.#.#.#..#...#.##....#..#.#..###.##...#.##..#.#.#..#.#.#.#.#####...##.####.##.#..######.######..##..##.....##..##.##.##..#.######...####.#..####.#.############..#####...#.#..###########.#...#.....#..#....####...##......##..#####...##....#.#..........#.###..##..#.###.#...##...###.....##..#.#.#.#####...#.#..##.##.###.#..##.##.#####..#....#..##..##.#...##....######..#...#...##.#.##.##.#.#.#..#.#.##.#.###.#.#########.##...#.#..##.#.#..#......######..#....#...#.#..#.#...##.....###.#.#.#..##.#.##.#....#####.##..#.#..#...##..##...#.#.#...##..##...#.#...####.#.#.#.#..##.##.#..###..#..##....#.####.#####...##.#.#.#.##.#####...#.#.##.###.#.##....###.######...#####.#..##.#.....#.#..##...##.#####.#...###...#......##..##
.###......#.#..#######...##.####.#..##....##..#.###..#..#..#.#...##...........###.#.....###.###.###.#...#.#..##..##..#######.#.#..#..#####.....##....##.##.####..#.#..##.####.##.###...#.##.#.#.#.##.########.#########.####.#######...###....#..#.#####.....##....####..##......#.#..####.....##..###.###....#....##...##.#...####.#.##.#.####....##....###..#.##...#..#####.#.##.#.#.#.#.##.#.#.#.##.###.....#....##.#.##....##.#..###.###.#.#.###.##.#......#..###.#######......#.#.####..##..#.#..##.##........#.#.###.##.###.###...##...#..##.###.##..#......#.#.##..#.#####.##....#.###..##...#####..#######..###.#.#####....###.#...#....##.##.##..#.#.##.#.#..#.######.#.#.#.##..#.#.#.#..#...##.#..##....###...#..#.####..###.##.#...#.#..#.#.###..#.#....#.#.###.#.##....####...##.#....#.####....##.....#.#....###.#.##.##.....######...#.#.....##..#..##..#..##..#.#.#..#.##.###.##.#.#...##.#.##..#######..#...#.#..######..#####...#....###....#..#####.#.#.#.##.#.##.##...######...#.#.####.###.#.#####.##...#.#..##.#.#.###.##....#..#...##...#.##.###.#...###..##.#...##...###.#####.#.##.##.####......#.#...######..#####.#.##.##.#...#.##.###.##.......###...##....##.#...#####.#..##.####...#.##........##.#..#.#.........##..##.#..#..##.#.##.#....#.#.#.##.##..##...###..#.#.####.##.#..#...#..##.#..###....###.##.#......#.#...#.#..###..#########...##...#..#.##...#...##.###.##...#.#.#....##..####..##...#..#.##.##.#..###..#.####..#.#..###..##.#.##.....###.##...##..#..##...###.....##.#......####.....#.##..#####.#...##.###....###.#..#..#...#...##..####.####..#...#.##...#####.#.####..#....##.##..#...##.##.##.##.....#.###.....##.#..####.....#.#..#..##.#.###.##..###.##.##..#.#.###......##.###.##.....##.####..#......#...#.##.#..##..###.#.....###...#....#....##.#..#.##..#...##.##....###...####..##.###.#.##.####...#...##..##.#...#.##.#.##.....####...##.....#.##.###...#.##..##..##.#...##....###.#..#...#.#..##..#...##.##..#.#.#..###...####...####..#..####....#....##.#.#......#........#..#.#..#.###...#.#.#..#..#..##.#.#..#.
..#...##.##.##..##..#.##.##########.##.#..########.####.##...##...##...##.#........#.........#.#.#.#.##.#..#....#######....##....#..#.##..##.#####.##...###.#.##........##...........#.##.#.#.###.##...##.##.##..#..#..###..#..#.##.......#.#.##.####.##.#..#..#....#.#.#..#.#..##....#.#.##.#.#...##..##..####..#.....###....#########..#.##.#.....#.#..##.##.##..#..#.#....##.##.###.#.#.......#.#.####.####..###.##.#...##.#####...#.###..##...##.#.#..###.#.#.#.####..#.##....#.###....#......##..#..##..####....##...#..##...#..###.#.#..##..##.#..####..###...##.#.#.##...#...#..#.#######.###.##..#....#.........###..#.#.###..####.#.##.###.########..#.##..........#.###..#.####.#.#.##......#.#..#.##..#...##.##.#..###...###...####.#..###.#..###...#.#..#.###.##..##....#...#.##.#.##....#....#....##.#....###.####.#.#....##.#####..#.##..#.####...##...#...#.##.............#..#..#...##.#..######.#.##...#....#.#.#.#...###.##.#.###..##.######.###..###...##.##..###.....#.#.#......#...#..###.###...#..######...##.#.##..##.#....#..#.##.#...###.##..####.##..#.###.##.....#.###.#######..#..###....#..#.#..#.###.###..#.##.........##..####...#.###.####..####..####..#.#..###..#...#.##.##.#.##....#.#.###..#.######.#...###..#.#...#..##.#.#.####.#.#..###.###.#.#....##.######.####...###.#..#...###.#..##...#.#####.......#..##...#.####.#..##.#.#.##.#.#..#.#..###..#.#.#..##...##.#..##.#.#..##..#####.#.##...#######.#...##.####.#.##.#..######.#.#####.##...#####..#.....##.####.##.#.##.#....#.#.##.######..##.##.#.##....#####.##...####.#.#..##......####.###.#.#....#..###.#..#.#.#.##.#..###.###..#.####.#.....#.###.###.#...#.#.#######..##.#.##.##...#.####.#.###..#..###.##...##.##...##..#..###....##.#.#.#.#.####..#.###..##.#####...##...##.##.#...#..###...##.#..####..#.##.######..####.#.##..#.#..##.#..#...#....#..####.#.##.#........##..#.##.###...#..####..#....#####.#.#...##...##..##...#.#...##.##.###.#........####.#.#.###.#...#####.#..###..##.#..##.##.#.#....##.#.#..###...##......#...##...#.####.####..######.###.##.#...#
#.#....#...#.#.##.#.############.###.#.#.##..##.#.##..#..#.#.#.###.#.#..###......#####.#.####....####.###.#...#.#....#.####.....#.####..###.#....##.##.#.#...#.....#..#....##.....#..#...###.##.####.##.##.#...###..#.#.#.#####.#..##..###..#..##.#........##.#####...#####.#...##......###.#..##....#...##.#.#.#.###..####.#.#.#..##......##.#.#########.#.#.##.#.###..#.##.##.#.###....##..##...##...#.##.......#.##.....#.#.#.#.###...#.####.#...#.#..##.#....##.#####.###..##.######.###.#.#####..#.###.##.....##.#####.#..##..##...##.###..#.#.#####.#.##.#.##...#....#....#.##...##...#.##.#.#.#...##..#....##..#.##...##.#.#.#.##.....#..##.####.....#.....##.#.##.##..#.#...##.###.##....#..#......##.....##.########.#..##.#.##...##.#.##..######..#...#.####.##..###....#.#.###..##.#..##..#.#..#..##...##...#.####..##.##......###..#.####.##..##..#.#.#...#.##..#.##..#...#...#.#.##..#...#######.##..#.###.###..#.#....#.#.#.###.##.##..##.###.##...#.#..#.#.#####.#....##..#.#..#...######.###..##.###.#..#.#.###..#.....#.......#.##...########......###...##..#.###..#....###..#...#.#....#.##..##.###.....##....###..##.#.#..##..#..#.###..#...#.#..#####.#.#..######...####.##.###.#..###.##..#.##..#.####.#...#..#.#.#.###..##...##.#.##.##.#..#.##.#..##..#.##.##.#..####.#.#..#.#.#..#..#.#######...#.##...#.#.#...###..######...####..###.#.##.#.#.#.#....##.#.##...#..##.##...##..#.#..##.#.######..#...####.#..#....#..##.....#.#...#####.####.....#...##.#.##.#.#.#.#.#.#.#.#..#...........#...#.##.###...#..####..###...#.##.#..#.####...###..#.#..#..#....#.#####.#..###..#.##.##.#....#.##...############.#########..####.####......#..#.##..###.##...###..#.#.###..##...###.#.#.####.#.#.##...###.#.#.####.#...######.....#####.##...#.##..##.#......######..#....#########.###..###.##.##.#.#.###.##.#.#.#...###.##.#..#..#.#.#..##........#...####.#.#..#.#.####.#.#.##.#####.#...##.#.######..#..#..##.#.#.#.#.###.###...##.#.#.#...#..#.#.##.#.####.####.######...#.#..####.###...##....#####...#..######.#..#..####.#...#.#..##....#..##..##.#
.###.....##.#.####..###.###...##..#.#.#.###...##..#......#.....##..###.##..#.#.....###.##..#.#.#....#......#..##.####.##.#.#..#..#.#.#.#.##.#...#..##.#####.##...#..#####...#..###.##.##.#.#.#.#.####...###.#.#..#.#..##...#.###.###...#.#....####.....######...##.##....###.#.##..#..#.##.##.##..#..##.##.###.#......#.#.#.##.....####......#..#..#.#.#....#.##.#.#..##....##....#..####..#......##..##..##..#..#..##.#.#..#...........##......#..#.##..#..#....####..##.#.#..###.###..#.#..####.##...#..#.####.....#.#.###.##..##..##.#.###.#.#.#...#.###.###...#..##..#....#.##...#.######.#####...####..###.#.###.##..##..###..#####...##..###...#..#.#..#..#....#.######..#.#...###.###.#.#..#....##.......#######..##.#.#.##.#.#...#..#.#...#...#...#...##....####..#...####.#..###.#..#..#..#...#.#.##..##..##.###.#.##......###..#..#...#..##..##...##.##.####.#...#.##..##.##..#.#..#.#..##..##.###.##...##...##..#..#...######.#.##.#.#..#......#.###.##..#.###...#.##..###..##...##.#.###.#.#..#.#..#.##.#..#..###..#..#......##.######....###.....#...#######..##..#.###......###...###.##...###......####.#.####.######.#.#.#...##.#...#.#.##.#..#.##....########.###...##.#.##.#.##.#..#.#..#........##..#######.##.#..##..#.#.##....#....###.....##.####....#.###.####.#..#####.##.#.##.#..##...#.##.#....#..#..####.###.#..#.####..#..#.##..#..#.#.####.#.#.##....#....#...###.###..#..#.##...........##.#.###..###..#...#####.##.#####.#.....#.#..#.#.###.#.#.##.###..#...#.....####.#....##..######.#..#######.#####..#.#.##.#.#.#.#.#..###..###.#.##..##.#.#.#.#.###.#..#.##.#.#.#.##.#.##.#.#..#..###.###...##..#######...#...#...#.#....#####.####.##.#.#..#..#..##.#..#######.###...#.#..###.#......#..#####.#..#.##..#..#..##...##.##.#.##.#..##....###.#..##.##...########..####..###.....###...#.##..####.##..######..##.###.####.#.#.#.....#.#..#.#.....####...#.##.####..#..#.#.##.##..###.#######...##.#.#.#####.#.###..#.....###.###..##.#.#..##...##.##..#....#..##....#.##......##.###.#.##....#.#.....####.#.#.#...####.###.#...##..#.####.#.###
....#..#########......###..##....####.#.#..#.#.##....#..##.......###.#..#..#.###.#.....##.#....####.#.#..#####..##.##.##.#.##..#.###...###.#.#....#...#..######......#..##.##...###...#.####.##.#.#..##.#.##...##.##.##..#...##..##..##..##.######.#...##.##.##.##.##...###..#..###..#...#..#...#######.###.#.#....######...##..#.#.##..##.##.#.##.....######.#.#....#..##.##....###...####.##.#...#..#######.#..####.####....##.#..#..#####.#####..#####.##.##.#####..#.#.##..##...###.####.##...#.#..#.#...#..##..####..##.....##.##...##.###.....#....#.####....###.###.#.###.####..###...#...#######.###..####.#...#.##.###.###...###.##.#.#.##.#####.####...#..#.##..#.##.#.####.#......#...####.#.###...##.####.#...#..#...###..#.##.....######...##.#...#.###.#..##..#...#.....#...#...#..##.#..####....#...#...#..#.##..##.#..#.#.######.##...###....#..#..#...#..#......###..#.###..#...#..#.##...#.####.......#...#.#..#....##......#...#.#.##.##.#.####..#.##.###.#.#.#####.###.#...##.########.##...##..#.#.##..#..##..#.#..##.#..####.##......##.#..........##.#..#.#########...#.#..##.####.#.###...##.#...##...#.......#....###....#..#....#...##.#......####.#....####.#..#.#.##.....#.#....#.##.#.#.###.#.##...##.###.#.##..#######...####..##.####.##.#....##.#.#...#...#.####.##..##..#...#...####..##.##.##..#..#.#..#.#.###.####..#####.##.#.#####..#..####.####.#.##......#...#...#...####.###.#..#..#.#.#..#..#..##...##..##..#.#..#..#....###.#.##.#.##.######.......#.##.....####...#.###....##.#.#.###..#..#..#.####.##.#....####.###..#..#.######.#.####....#.#####...##.#.##.#..##.#..#...##..#..###..#.#.##....###.#.#......####..#...##.#..######..#..##.....#..#....####.#..###.##.###...#..#####.#..#.#..##...##...##..##.#..###.##.###.#.##.#...#..#.#...##..######.#...#.#...#..#.......#.###...###...#..###...###.##..###..###.###....#####.###..#...####...#..###..#.###.#....#.#...#.###.#..##.#.#...#.#.###..###.#.#...###.#.##.....#.#..###.####..#.#.###....#....#..#..#..#...#.#..#...####.##.####.#.##..#.#.#..#..##....#######....##.
..#..##.#.######....###..##.#...#####..#.....##..##...#.#..##..##.##..###.####....##..##...#.###.#.#.#.###.#.#...#.#.###.###.###..###..#...##..####.###.#.#####.###.###.#####.......#....#.#....#.#.##.###...##......#.#..#.####.##....###.#...#####..#.....#..##.#....#....##.##..#.#.#######..#..###.....#..##..###..#...#..#.....###.....###.##.#..#..##...##...##....##.#..###.#.....##..###..###....#####...##...#..#.#...#...##..#..#...#.####..#.#.#..#.##.#.#####.#..#...###.###.....###..#.#...#....##..###...#.###.##....#...#..#.###.#.#####...##..##.###..######.#.#.#...#..###..##...######..#....#.....#....#.##......#.#.#####....######.###.#..##.###..###...#..###.......#......###........#..#.#..##.#.##.##.#..#.##.#..####..#..#...#....######..#..##.#..#.#.##...##.###...#.###...###.#...#...#####.#..#..#.##.#..##..#.##.#####.#..#.#.##.#..#.#.#.########.###..#..#.#..##.#.#.##.###.#####...###..#.###....#..##.##...##...#.#....##..#..####....#.#......#..##..#..#.#.###.#.##.#.##..#....##......#..#..#..####...###.###.#..#.#.....#..#.#..##...##.###.##.#.....##.#........###.###..#.....#.#.#.##..##...##.#..#.####.#...##...##..####.#.#####...###..###.#.#####.##..##....##.##.####.##...#.####.#...###.#.#.###..#..######..#..##..#..###..#.###..#.###..#.#..###..##.###..#.#####....#...##..#.#.###.#.#.###....#.#.#.....#.#...#.##..#.##.##..#.#.###..#..#.###..##..#.#.#.####..####.#.#...##.####...##...#.####.#..#.###..##.##..#...#.####.#.#.#.##..#..#.#.##...#..######.#.##..........#####..##...#..###..#.##.#..##..#.#..####.###...##...##...##.#...##....##.#...#######...####...###.#.#..#..#...#.#.######..#......#.###.###.##.##.###.#.##.##.#...#.#.#.###.#...###..#########..###.....##.##.##.#.###.####.#..#..#....#...#...###....####...#.##..........##...#.##..##.......###.###...####.##....##..#......##..#.##.#....#.##....##..###.#.....#.##..###.#.###..#....#..####.###.#####....##.#.##...##..####...#.......#.##.#...#..#.#####..###....####.###..####.##...##.#.#........##........#.#.#.#.##..###..#..#.###....#
#######...#...###.#####....##.#########.#.##.##.###.#..###...###....######..####..###..##..###.#....#.####.#...####...#.##.#.#.##.##..#.#...##..##.#....##...##.#..##.#..##..##....#..###....#...#..##.#....#.##.#.#######...##.#.#.#..#..############.##.#.#######.###..#####.###.##..#.....##.#.#.#####.##.##...#.###.#.#.#..##.#....#....##.##..#...##..#.##...#.###..#..#..#.###.#.##.##....##.......###...#.......#.#..#.#...####.###....#....#.###.##...#.##......##...#...####.#.####.#.#..##...##.#..#.##....#.##.....########..##..#..####.#.##.####....##..#....#...##..####.##..##.##.#....##.##.#....##.#...#.##..#.#..#.#..#..###.##...#......#.##.###...#.#.##...##.....##...#..#...#..#.#...##.###.###..#.#...##.#..###.#...##...#...#..###.####....#.#..#..#....##..##.##.##..#..#..#.#.#..##..#........#...##..#.#####..#.#..##.####.....#.......##.#......###...##.##.##.##...#....#....######..####.###.####.#..#.#.######..##...#..............#....#.#.#.#..#..###..##.###...#.###.##..###.#.###...#..##.####.##.##..#...#..#.#.#...#.#..##..#.##.#####.#.###..##.#..#.#..####.##..##....##.#.#..#..###.#.##.##.#.######..#.##.#..##.#.###.#.....###..#####.#.##.##.#...#.####.#....###..#......#....##....##.##.......##.##########.##.#####.#.##...#...#..#.#.##.###..##.#...#.#.......#.#.####.#......#.##.#.####.#...##.###....#.#......####....#......###..#####...####.##.##.#####..##.#########.##..#...#..##.#.##..##.####....#.#.##.#.#.###.###.#..#.###..##.....##.##.#..######....##.##..#.#.#.##...#.......#...#######..#####.#......##..#.##..#..#######......##.#.#..#.#...##...####.###.#.####..##.#.###..#.....##.####.....#..######.#.####..##.#.#.#.##..##.####.#.##...###..#.##...#..##..##...##...###.#..#.####.###....##.#...####.##.##.####.#.#.#..#.##...##.#.#.#.#..###...##.#..###..###...###.###.#.#..###..##.##..##..##....#.#.#..#..####..#......#.##.#.###..#.##..##.#.#..#..####..##..##.#.###.#.#.##.#.#...###...#..##..#......#####..#.##..#.##..##..#.##.#.#..##.##.#.......###....#......#......#.##.##...#.....#..#....#
#..###.#.#....###.####.#..######.#.###...#..#####.#...#..##.###.#.#..#####.#.#.##...#.######.#..##.#..#.##.#.....#.##.....#.###.#....####.##.#.####.#.##...###.#..##.####.####.###..##.#.####.###....#...##.##.###...#...#..#..##...##.###.##.###...##..##.###...###....##.##.#....#####.#...#..####...#.##.##.....#.#..#..#..##.#.####.###.#..#...#...##..#....#..#..#.##.###.#..###..#...#..##...#..##..#....#.#.####.##..##...###..##..#..###...#..#.....###....##.####.#..####....####..##.####...####...#.##...#.#.####....#...#....#..####.##...#...#....#..##..##.#.######...#.###.##.##.#####.##########.#..#..###.....#.#.......##.###.##..####.####.#.###...#...##########.##..##.##..#.######.##.#.#..#.#.###.#.....##....##...#.###...##..##...##.#.#.####.##.##..#..####.#.##.#...#..#...##.#.#.#.........#..####.##.###...#.#..#.##.##.#.#####.##.#....#.###..######.#.####.##..###.....######..#.####.###.##..#.....####.#...#..#..#.########.#...#.#.###....#.#.####..#..#####..##.##.##.....##.#....#..##.####.##.##....#..##....###.#.#####...#....##..####.###.......#...#.##.##..#.##.##.##...##.#.#...####..#...######...##..##.###...#....####.###...#...#.##...#.###...##.###..#.####...#.########....#.##.##..####.##....##.#......#.####..#.#...###.#..##.#..###.###.#.####...#####.#.##.#.#.###.#..##..##..##..##..#.####.#...####..#..##..##...###.##.#..###.#.#.#..#..#..##...##..#.##.#.#..#.#.###.#..##.###..###.##.....##...###.##....#.##.......###..##..###.#...##..#.#.#.###.#.##.###...#.....#####.#.###.#.####....#######.##.#####..#...##......#.#..##.##..###..##.#.##.#.....##..##.#.##..###....#......#..###.##.###....##.#..#.#.####.#.#....#..##.#.#.#...####...#.#.#...###.#.##.##..#.......#....#...##.#..#.#....##.#.#..#...##.##..#.....##..####...#...##.#...##.######.#...#..###.###..##.##..##.#.#.#.#..##.....#.##....###...#....#.##.#.##..#.###.###..#####.##..#.#..#..###..#.##..#.#.####.........#.##...#.###..##..#.#.##..###.####.....#..........#.#.#...#.######.#.....#....#.#..#.###..#.####.####...#.##.....#.#...##
####.#######.#.#..#...####.#..##...#..#.#.#......###.##..#...##...#....#.###..#..##...#...####...##.#..###...#....#.#..#....#.#...#.####.##.#..##...#..##.##.#.##....##.#####..#..##...##.###..##..##.##........##..#.##.#...###..#.#...#...##.#..#..##..#.#.###..##.##...###.#...####...##..###.#..#..####.#..###.#...##.......#..#...######..#..#..###......###......#######.#####.##..#.#.#..##.#.#....##.##...#..#...#......##....#.####.#.###.#.##..##.#...####..#.....#.#.###.#.######.###.....##..###.#.....#..#.#..#..#.#.##.#.##..###...#.#.#.#..#.#..####.....##...#.##.#..#.##.##.#####..##..#...##...##..#.#..#....##......##.##.#####.####.##.##...#####.....##..#.#..#..###.#..#.#.#...#.......###.....##.##....###.##.#....##...######.#.#.##.##..###......#..#.##.#..#.#####.#..##.##..#####.#.#...#....##.....####..##..###.#.#.#..#.####......#.##..##.#...#..######.#..##.#...#.##..##.#####..#..#..###.#######.#.#..###....##.#.....##.###.#.###.##......###...#......###.#..#...###....#.....#...#.#.###...#.#...#.#..#........#...#...#..#.##.##...##.##..#####...##...##...#...###..#...#..#..###..###....#.#......#.#.#.....#.#.##.#.#..###.#####.#####..#..#.#...##..#...###.#####.#####...##.#.###.#...#..##..##.....##..#.#####.#..###.##..#....#######..##..###..##..######.###..#.#...##...########...#..#.....#..##...#.#.##.###.###..##..##.##..#..##..##.##.#######..#..###.##..#.##.......#######...##.##.......#...####.#..#...###...###..##....#.#..#.###.#....##.#.##.####.......##.##..##...#.##.#.#.#.#...#.###.#.###...#...##.#..#..#.#....#.##.###.#..#.##......##..#..###..######..#.##.#####..####.......#####..#########.#..#.##...##..#.####.####.....##..###.#.##..#.#.#.####.#.#.##..#...#####...###..#......#.##....##...#.###...##..#...##..#.....#.#...##...##.##.#.........##...#.#..#..#.##...#..####.....#...##...###....##..###.#..#####.##...####..##.##.###.#.######..#.####.##.#.....##.....###...###.#.##.######..#..#.#.###.##.....#.#..##.#.###..#.##.####.#.##.##.#...#..##.##....#..#.##.#.##..#..#....##.###.#...#
##...##....#.....###..##..#..#..##.#..###..##.#.##..#..#...#.#.##.#....##..####..#..##.##.##..#.##...###.##.##...#####......#...#..##.###.###.#.#..##....###.#.#..#.#...####..#....#..########.#..#...#.#.###...##.#.###..#..#.##.##..###.#.#.#.#.####...##....#...#.####..#.......#..#.###.####.####.....###.###..#####.##.#.#...#..####.##.#.###.#...#..#####.#.###...##.###....#..#.....#.####..#.#..##.##.#...###.#.#.###.#.##.#..#.#####.#.....##...###...##..##.#.#.#.##########.########.##....#..#..###..#..#.#.##.#.#.#.###..########.###.#.##.##.##..##....##.###.##..###.#.##..##.#.#.#.#####.#.#.##.##...##.##..#.#.#...##...#.#..#.###...#.########...#.#..##.####.##..###....####.#....#.#.#....##..#.#.##.#.###..##...#..#....####.##.......##.#...#...#.##.#.####.#.##.###....#.#..#.###..###.#..#.#####...#....##........##..#.###..#....#...###..#.#...#..##.###.#.#.#...####...###...#.#....##...#..#..###..##.#.##...#.#.####....#..###...#######.#####......#####.#.##....#..##.....##.#..#..###.##.#...#.###........##.#...#.#....##....#...#.#..#..#..#..#.##.####.######.#..######.#.#.####...#.###...#.###...######.###.....#.....##.#.#.##....###.##.#....#.#.....#......##......#.####...###..#...#.#.####.#####.....#####..#####..#####..#..#..#....##.........#.##.##.....#.##.#.###.###...###....######.##..#....##.##......##..####..#.#..###.##.##.####..###..#...###.......#.#.#.##..##...#.##..#....#...#.....########..#####.##.##....#..#.#####...##.##.##.##.#####.......###.....#.#...###.#.##.#.#.#.##.##.#...###...#.##.##.#..##...##..##....#.#..#....#...#..##....#.#.##.####..##......####...#.##...#.####..#..####.##.#.....##.##.###..#.####.......#....###..#.#..#...#####.#...#.###....#..#.#.....#..#.##.....#..##..#.######.######.#...###.#..#..#...#.####.#..#.#.##..####..#######.....#.###.#..#....#....#.##.###..#......#.#...#...#.#.......#######.###.#####...###....#.##........###.#.#######.#.#.###.#...#.#..##...####.....#.##.#..##...#.......##..#.##..##.######..#..#.##..#....##..#.#..#.#......##.###..#..##.#.
..#...#......#....#.##....##.#.#.#######.##..#...###.#...#.#.####...##..##..##....#..#...#..#.#..#.####..#....##.#.##...#####.###......#.###....##...#.##.#....#....##.###.#####...#...##..#......#.#...#.#...#.#.....#######.##...###.######....##.#.#.....##.#.#.#.#.#.#..###..#.#..#.#..#.#...###.#.#.#.....#.##.#.###.......####..##.#.#..#..#..##......#.###......#..#.#.#...####...###.#..##..#..#.#.#.##.###.....##.#..#..#.##.#.##...#.##........##.#......#.#.#..#.##.###.###...##..#.##......#.....##.###..######.#..#.#..#..##.#####.#.#..#.....######.####......###..........##.#..#.##..#...#.#..###.#.#..#.#.###...###.##.##...###.#..#...##.##..#...#......#.###...#..###.#.##.##.....#.#.##..#.######...###..#.#..##.#####..#.#.#.####.#..........#.##.##....#...##..#.#####..######..#..#.###..#..##..##..#.##.#.##..#...##.##...#.###..##.#...####.#.###.#####.##.......#.#.#####.#.......##.#..##..###..##.###.##......#..#...#.....###.##...####.##.######.#..###.####.##.###...#.#........###..#....#.######..#.#.#..##.#.#.#.#.###.#..###.##............#####...#.######.##...#..#.##.##.####.#.##..#####.#..#####..#..##.#...##.#..#####.####...####..#.##..##..####.#.#.#.##.#####..#.#######...#######.#...#.#....##.##.#.##.#.#.#...##.....###.#.#.#...#..###..#.#.#....#.#..#.####.#..######.#..##.###.####.######.#.#.#.....#.#.##..#..####...#.##.#.###.###....#..#.##..###..#..#...#..#..###.####..#...##.#..#....#..###....##.#..#....##..##.#.#.##.##..###..#.##.#..#.###...####.#.#..##.##...####.#.###..#.#.#..#.##.###.####.###.#.#...#####.####.##.#....#..##.##..#.##....#.#.##.###.##.##..#.#...#.##.#..#.#.###..##......####..###..#.###...#.......#.#.#.#..####..##..#...#....##.##.##...#.###...###...##.###.#.#.#####...#.###.#..#..#.##..#####..#.#.##..###.####.#..##.##.###..##.##....##.##.#.###.....#.#.....#.#..#.####.##.####..#...#..#.#.##.#.#..#.#...####.##..##..###.###.###....##..######.#.#.#.##...##..#.##..####.##...#.##....#.#..#.##.....##...###.#...##.###.#.#####.....##.#...#....##...#...#...#.#.#..##.####.##.
.###..#.###....##..#..#.##.###..##..##.###..##....#.##.##....###.#.#......#.#.....####....#.###...#...#.......####...#.#..#.#.#...#..####..#.##.###...##..#.......##.#.##........##....#.#..#####..#..#.##.#.#....#.####.##.#.#..####..#.####.#.#..###.####...#.#.####.#..#..#.....###....##..##....##.#....#...##...#.##.#####....#.#....##....#..###.#.#....#...#.#.#..#####..#.####...#.#.#.#.##...#####.###.#...####..##..#.#.#..##..#...#.#..#####.##.#.##.....#.#..#.....###.#.#..#..#..###..#..#.####.###.#.###...###.#.#.##...#.#..###.#..###.#.#.#..#...###.####..#.#.##.#..##.#########....#....#..#..#.#...##.#..##....###.###.#.##...###..##.......#####.####........##........#...#.#.#..##.#......##....####.##.#......#..##...##...##......#..#.##...#.#.#....#.#.#####..####..#...#..###.#..##.###.#.##.#.........#######.##......#..#...#..#.##..#.###.#.#.#..#.#####.#..#.#.##.###..#......#....###.######.#..#..#....#.#.##.####....#..#.##.##.####..#.##.#...#..#...#..####.##########..####.##.#.#######.#.#####.###..#.#...#.#..#..#..##.#..#.#.#..#.######..#.#...#...#......######.#.#..###...#####.#....#..##..#.#...###.#....#####...####.#.#....#.#...##..#..##.#.###...#.##.#.####.#.#.###.###...##.......###.####.##...#......##.#...#..#..#.#..#.....##.####.###.##.###......###..##.#.##..#....###.##.###.##....###...#..#.....####...##....#.#...####.##.########.......#.####....#.#..##...###..###.###..####..##...####...##......##.#.#.#.##..######.#.#..#.###..##.#####.#####..###.##..#..###....##.###..#...#....###..##..####.##.##..#.####.########.#.#...####..##...####.#.##..####.##..###..#....#..##.#........#.###.#.#.#####.......####..#.#....##..###.#..#....###.#..#.#..##..#.#.#..#.#.#..###..#..####.####..##..####.##...#...#.#.#...####...###.##.##.##.#..##....##.#....###.#...###.....#...#..##...####..#.###.#.#######.##..#.#.#.##..##.##..#...####....#....#..###.###.###..#..##.##.#.##.#..#....#.##.#.#..####.##...#..#..####.#..##....#.##...#..##.#.#....###.#.....###..##.##.##....#..#..#.#..#.#..###.#.#.#..#.#
....###.###...#####..##.###.##.#...##...##.####..####.....#.##.##...##.#..###.###.#######.#..#...#.####...#...#.....#..#...#.#.........###.###########.###..#.#..###.###.#.....#...#.##....#.#...#######..##.##....###...#...#...##...#.#....#.###.##.##..##..#....###.#.#...##.#....###.#######...##..#...#.###...###.....##..##..#.#.######....###...##.#.##.####.#...#.#..##....####.#...##.##...##....##.#.#.##...####.#..##.#.....#.#.#####..###.#.....#..####.#.####..#...#####.#...##.......#..##.####.#.####....##..###.#..##......#.###.#.#####...###.###..#.#.#..###....###..####.#.#.............##..##....#....###.###.##.#.#.....###..#.#..##...#.#..##.#.##..#.##.#.#.###..#......#..###.#.#.###....###.#.##..#..#...#..#####.##.#..#..###.....#..#...##.#.#..#..#.#.#.######.###.#.##...#.#...#..##.#.#..#.###..##...#.####..#...#.#...##..#.##.....#.##...######..#.##.###.#.#.##...##.###......#.#..#.#..#.##....####.#####.##..#...#....####...#.#..#..##..##..##.#.#...#..####.##.##.#...#.#.###.#.#..##.#.#####......###.##...#...###..#.####....#....#..##...######..#.##.#.###...#..#.##.#.##.###...##...##..####.#.#.#..####..#..##.#..#...##.#..##..##...##.##.#..#.#.#.##.....#.#.#..#.##.##.#.....#....#...##..##.#....####....###..##..#..#.##.....##..#.##...###.#....###.#.#.####....#.#....###...#..#.##.##..#..#.......#...##.##..#.###.#..###...#....#.#..#....#..##.#..######....####.#.##.###.##.##..####.######....##....#.#.###.#..#.#.#.#..##..#####.#######...#..##.###...##....##..#.....#.#..#...#....###..........##.#.##.#.##.####...##.#.##.#.#.#.##...#....#.##...#####.##.#.#..###.#......#######..#.#.##..##.#..######...#.#..#.##...#.##..#.#.####.##.###...###..#.......#..#.##.###.#....#...#..####.##...#####........##.##..#...#####..##..##.#....#..###..#.##.#####.#.#...#.#..##..##.###.#.##..###.######.#..#.#..#.##...#.##.####.#.#..####..##.....#.##.#...#.##.#...##.###.##..###.......#.##..####..#..#..####...##.#####..#...#.#...##.#.##...##.##..#.#...#...#.....#...##.#.##..#.###.#.#.#...##.#.#..######...#....
###.....###..##..##.##.#......##.###...####..#.###.####.##.#....#.##.....#..#.##..###..###.###.#.###...##..###.....#.###....#.##...#...###...#.##.#.#.#.###..#####..#####.#####....#.##...##...###...#######..#..##.#..##..####..###...#####..#..#.......##..###....##.##..#.###.#.....####..##.###.#.#.###..##..#..#.##.#.#.###..###.....##...####..######...#.###.#..#.#.#.####.#..##....###....##.#.....#.....#.###.#..##..#.#####..#.#.##....##.####..##..#.#.###......###.####.#..####....###..#..###...######..#..#.....###.......##..#.####.....#.#.#.#..#.####...#.#.#..#.##.##..##...#####...#.###..####..####......#.....##.#.####.#..######.#.#.#####.##.##..#.#......#.##..##.#.#...###...#####.#..##.###..#...####...#.#....#...#...####.#...#.#####.#...##....##.#..#....######.##.#..###..#..##..#.#.#..####.##.###..##.#.#.##..#.#..#####.##.#.##.....####.####.#.#.#.#.##..#..###...#.#.##...##....#.######....####.#.#..###.....##..#..#..#..##..#..#.####.#..#..##.#...##.#.#...#...###..#.....####.#..#.##.##...#.#.#..##..#.#.......###.#.#.........#####.#..#.##.###.......##.#.#..#...#..#..###..####.#..#....#####.#.##..#.#.##..#.##...#.....##....###.#..##....#..#.#.#....#...#..###..#..###.###########..#.#..#..#.#####......##...###.#.##.#.#..###.#.#..#..###..##.#.#.##.##.##...#.#.#.....#.##..####..#.#..#...###...#...##...##..#..#..#.##...#...#...#....##...#..#...#####.#####...##..#...#####..#..####.#####.######..#.....#.###.#####.....##..#........#.###.#...#####..#...#.#......#..#......#.##.####...#.#...#...#####....#.#...#..##.#.###..##..#.#.#..###.###.#..###..#..##.##..#..##.###..##.##.##..####..#####..##..#.#.###..##....#..#...##..#.##..##.#.########.#..##........####...#.##########..#..#..#..#..#......#.......##..#..###...##.#..#..#.......#...#....#.##......#..##.....###...#.#.#....#...#..#...#..#..###...####.#.....#...####.#.##.##.###.....########....#.##.#.#.###..#...#.#.###..##..##....#..###..#...#.##...####.####.##..##.....#.#......##.........#####.##.####..#.#####.#.##..#...##.#####.###.#.
..#...##.#...##.#..#.....#...###.....#.#..#.....##..#..###.##..###.....#.##.#...##..#.##...#.###...#..#.#.#...#...#.##..##..##...#.###.#.#..#####...#.....###....###.#####.#.......##...###..######.##..#.#..#.##..#...##...##.#.#.#.##....##.#.##...#.###.........##.#.#.#...#.###.###...###.#.####.#.#.#..#.######.###.########..##........##.#.##.##.#....##.##....###..##..#....#...######.#..##..#.##.#.##.#.#..##..#.###.#####...###.####.#####.##.#...#...##......#####....###...#.#.####.####.#.....##.#.#.#..#.#.#####.#..#.#..#.##...##..##...#.###..###..##...#####...#.###..#...###.#..###.........####....#...#.#.##..#.###..##...#...###..#.#.#.#.#..###.#..###....####.#..##......##....####.#...#..#.########.##..##.###...#.##....###..##.##..####..########...#####.#.##########..#.##.####.#...#...#.#.#.#..#...####.#.....#.......#.###........##..##.###.#.#.##.###......#.#.#.###...#..#..###....#..#..##....###.....##..#.##.#####.##.#.#.##.##.#.##.#.##..##..#.#.##....#...#.#.#..#..#.###..##.#.##.#...##.####..#####.###..####.###..#.#..##..###.#.###.##..##.##.##...###..##.........#.....##..##.##..####...##.######....##.#####.###.....###.##..###.##...#.####..##....#..###.#..#..#.####...#.##.###.########.#####.#..###......####.#..#..###..#....#...##.#.####..##.....#.#.#....#.###..##.#.#.#.#.#.#.###...#....#..###.#####..##.#.#.###.....###.#..#..#.##.#..#..##...#.#....#.###.#..####.#.#.###..###.#.#..###..#.#..#.....##.#.##....#...##...#.#.#..###.#####.###..#....#.#.###....#.#.....#.#.....#..#..#.##...######.###.#####.#...#.##.###.###.##.#.##.####.###.##...#.#.....#.##.#.#....##...##..#.#.##.###....#.#.#.##.#....#..#..###.#.#....#..#.#.##.#####.......##..##.#.#.#..###.##..#.#....##########..##.#.##..#...##.##.#..####.##.#....###..##.#...###..#...#####.#.#.#.###......##..#.###.#.####.####.#....#..#..##......#.##.##.######.#..#.#####....##.#####.###.###..#####..#...##.###....##..#.##....##.#.##.##.##.#.###.##..##.###...#......#..#.###.##....#..##...#.#.#####.....##.#.....####.##...##...##.###..##
..#.##.#....###..#.####....#.###..#.#.###.##...##.#.###..###.........#...#.#.#####..########.##..##.....#..#.#......###...#.###.##.######..#..##.##.####.##...........##.###.####.##.##.##.#####...##..#..####.#####..##.#.#.#..##...##....#...####...#..##.##...#.###.#....#...#..#...#.####..###.##.#.#..#.#.#...#.#####.#...#.#..#....#....#.#####.....###.##.##.#.######.###..###..##.##.##.####.##....#.#.##.#.#.#..#####..##.####.......#...##....#.#...#.#.#...#####.#.....########.....##....#.#.##..#.#..##..#.##.#.########.#.####.#..#..#..#.#####.#.####..##..##.######.##.##.#.####..#.#.#...#..##....#.###.#....###.#.#.#.#.###.###.......###......#..###..#..###..###..###...#.##....##..#..#.#..#.#......##...###.##....#...#.###.##.#.#..###.###....#.###.######..#...#..#.#..#.#..#.#.#.##....#.#.##.###.#..#....##..#.#...##..##.##.#....##.##.#.#.##...#..#..#....##.###.#.#..##.#.....#...#.###..###.#.......#....#.#####..#..#..#.##..###.###..#..#.....##.###...##.#.##.##..#.####.#..#...##.##.#.#.##..##..##...##.#..#.###.#....#.......#.###.#......#######.#...##..##.###...#..#.#.###...#.##.#.##..#.###.#...####...#.#.#..###.#.#..##.#...#.#..#..##....####..#.####.###.#.#.#.#..#.#..#.#..#.#.#.#.#.###.####...###.#.###.####..##.#..##..###......##....#...#.##...#.#.####..#.###..##....##.##.#.###.###..##.###...##.##.###..#..#.#.#.#####.#.########.##...#...######..#.##...#...#...#.#..#.....#.......#..#..###...#.#...###.....#....#....######.#..............#.#.#.###.####.#.###.#.####..####..####...#.#.####.....###..#.......##..#..##..##..#######...####.######...####..#..#######.....####.###.#.##..#.#.#.#.##..#.##.#......#....#.#####.#.###..#.##.####..##...###.#.#..##...#.##..#...#.#.##.##..#..##.......#.##..#...#.#.#.#..#.####.#.###.....####.....#......#.#.##.##..#.##..#....#.###..###.#.#..#.#...##.####.##.##.....##.#.##.#..##.#..#.##.#.#.##......##....###.##....###.#.####.#.#.##..##..##..##....####.#...###.#....#....####.#.###...###########...##.#.###.######...#.#...#.........#...#.#.##..##.#...#####
#.#.#..#.#..###.##.##..###...#.#........###.###.#.#...#.#.#...#.##.....###..#####....##.###.##..#####....#.##.#.####...####.##.####.##....#.##.#...###...###..###.#..##..#...###.#..##....#.......###.#.#.##...##..##...#.##.#.######.#......#.###.#..#######......##..#..#.#.#..###..#..#..#.#..###.###..#.....##.##.....##..##..#.#.#..#####..#.##.###..##.##...###...#....#.###..#..#####..##...#...#.#.#.....#...#######..#....#####...#..##...##.#.##....#.#.#####..##....##..#..#...##..####.#..#.#..#####.#.#..#####.##.###.##...##.#..####....###.#....#...#..#.####.#.#...###.##..##...###.#.###.#..##.#....###...###.##.#..##..###..###.###....##..#.##.#......##..###..###.##....#####.####...#.#..###.....##.#.##..##.#..###..#..###.###.#..##.##.#.#.#....#.###...##.##..#.##..###..#.#.##..#.#.#.#.###..#.#...##..##....###..#...#.####.#....#..######.#.....##..###.##.###.#.##..#.#.###..##.#.##.##......##.#...###.###.##.#####.#.......#.#..##...#.#.##.#.....####..####..#.#...##.###.#.#.....###.#...##.##..##.######....##.###..#...#.##.####...#....#.#....###...########.##..#......###.#.##..#.##.#..#....##...##.#.#..#........#..#..#.#.#..#####.#..#.##.###.####.#.##.###.#.###...###.##.#.#.....##..#....##...#######..#...#.#..###..#.###..#.##...##.#..#.##.#.###.#.####......#..###.##...####.####..###.###..#.##.......#..#.######..##..##..###.##..###.##...#.##....##.##.#.##.#.#..##...##...#####..#.#.#...##..#.##.###.......#......######...#..##.##.#......###.#.##.#.#..#..######..##.#..###....######.#..###...#..#...#..##.#####.#..#.###.#.######.#..#.#.#...##..##.#..#..##..##..#.##...###..##.#...###...###..##.#.###..#...#...#.#.##.###.###...#..#.....##..###.##.#.####.##..##.##.##.....#...#.....####.#.##.##.###.#.##.....###..#.#########....####.#...##.......#.#..#..#.#.#..###....###.###..######..#.###..##.#.#.#.##.###....#.#.##.##..###.....##########.#.##..#####.#..#####.#....##.###.##.##.#.##..#.####..##..######.##.....##.#.##..####.###.#..##..#######...#..#.#..###..##....#.#..#.#..#..#.#...###.#.#..###..
.#.##.#..###.##......#.###..##.####...#.###.##..##.##..####.#.#####.####...#.##..###..##.....####.##...#..###.....##....##......##.####..##...#.#.#.##....#..#.#.....#...#.######...#..#.....#..#..#.....#.##..#.##..#.#.##.#.#.#...#.#..###.#.#.###.####.##...#...#.#.###...#.....###.#.....####.#.##...#.#..#.##....##.####.#...#.#.##....#..#...#.###..#.#..#..#.##.#.###.#.#..##.#...#.####.#...#.##....####.....##.#...##..##.#....###.##..##....###..#.#.#..#.#.####...##..#.#.#.##.#.#.#######.##.#.##...#.#..#....##.##.###..#.##.#.#..##..#..#...######.#.##.#...#.#######..#..#.##..####.###.#..###..#...#######.##.######.....#...##.#.#.####..##..####.###....#...###.##....#.....#..#..###.##.###...#.#..#...#...##..###.####.###.##.#.#.#.#.#.###.###...#...#....#.#.#.##..#....###...##...####...###..#..#.#....###.#.####.##..#.#.##..#...###...#.#...####....#####.#...####..##.#.....#.#.##.##.#...#..##..##.##.#...##.#.#..#.##.###.##..#..#.#.#####..##.#..##.####..###..#..#..#.##...#.#..######....#.###.#.#.#..##...###.#.###..###.###.#.#######..#........#..###...###.#...###...#.#..#..##..#....#...##..#.....###.....#....#...#...##.#.#.#..#.##.#..#...##.#..#...#.###.....#...#....#..#..##.#.#.#.#..#.#..#.#.#...#.#.#..#.#..#.#.####...###.##.#.##.###........#...##..#..#.#.##.#.#.###.##..#..#..##....#.###.#...##..#..#.#####..#.##.#####.#####.....#....###...###.####...#..##.##.........##.#..##..########.#..#.#.#.#..#..#####......##..#.##..#.##..#...#.#.......#...########..##.##....#..##.#.##.##.....##.##...#..##..#.#...####..##.##..#.#...####...##.#.#.....#..###.#..##.#....#..###.###.########.#..####....#..##.##..####...##.###..#####.#....#...##..######...#.#..####...#..###....#..###..##.#..#.#.#.....#..#.....#..#.#.......##.#.#..#.####...####.####.#.#.###...#.#.#..#.#..##....#.....#.##..#.#....#....####..#.#.##....###.###...###.##.####.##..##.#.#.####..###..#..#.#####....#..#.#..##.##..#..###..#....###..#..#..###..##.########.####..##.###.#....##.#...#.#..#..###...##.#.#.#......###.##.#.#####....###
..##..###.#.##.#.#..#....#.###.....#.#...#...######.####..##..#.##.##..##########.#...###...###...##.#.##......##.......###.#.##....#.#.#...###.####..#####.#.###.###.#.##.#....#..###...##..##...####..#..###.#.#.#.####.#....##....#..#####....##.#..##...#..#......#.#....###.......#..#..##.#.#.#....######..#####.#.#...#.###..#...#...#.#..###.#....###...###..#..#.###.##...#######..##.#..###.##..##..##..#.#..#.##....#.#.###...#...##...#.#.#..#.#.##.###..#.##.#.###.##.##.###.#..#.#.#.##.###..#.##..##.##..#..##.###..##....##......#..######.#...###.#.#.##.#.#..####.#....##...#.#####.##..##..###.##..#..##...###.###.##.#..##.#..#.##.##.....###.########......#..#.#..##.##.##.##..#..#..##.#...###..######...#..#.#...#.....####.#....##...#####.##....####..#....##.........###.#.#..#.###.#.####.#..#....###......#.#.#####.#.######.....#........####..#...#...##....#.###.#...###.##.#.#.#.#.##..#..#..#..#.##.#.####.#####.#....##.#.#..###....#....#.....##.#.....######......######.##...#.#......#.##.#.#.##.#.##.###.##.##.#..#.##.##...##..###.#..##..###..##...####..###.##..#......#..#########....#.##...#.####.###..#.####..#.##...###.####.##.#.##..###.......#####....#..##.#...#.##.####.......##..#.#....#......#.##.######.#..#..#######..#.###.#.#....#..#.....#......#..#.#......#..####...#.#..#..######...##.##...#.#...#####...#..#..##.#.##.#..##.###.##..#.###..........#.#..#..#..#.#.#....#...##.#.###.#....####.#....#....#....###.##....##.#.#########...#.#.#.###.#.####..#.#.#.#....#.#.#..#..#.####.....####.#.#.#..##.....####.#.#...##...###..#....#..#..###.##..##.....####..#.#.##.#.####..##...#.##...###..###.#..##.#####...#..#.#.###..###...#.##....#.#..####.#.....##.#...#.######..###...#####....#.#.##..#.....###.#.###...###...#...###..#.#.##...#..#####...#....##.#..#.#...##..#.#####....#.#.#..##...###.#.#..#....#.#.##..#.#####......#.###.#.#...##.#.#..######.#.##.####...........##..#...###.###.##.######.##..###...#.....##..###....#..####...###..#.#######....#..###.##..#.##...#.....###.#.#..##.
......#########..##.##..#...#..#...#.#....#####..###..##...##...#..#....#####...##..#.###.....##...#.#...##.#.#.##.##..###.###.##.......#.....#..#.#...#......##.#.####.#.#...#....##.#.#.###.##..##..##.#####..##....#.####.##..###...##..#....##...#...###.##.##.#.###.##...####...##.....####..#.#..###.#...##..##.#.#..#####....##......#.#.#..#.###..#####.#..#..##....#..#.#.#####.##..####..#..#...##.#..####.###..##.#####.#...#.#..##..#..#...##...#..#####..######...#....#..#.#.#..#............#..####..##.#....#.#....#.#.....#.###..#####.#.#..####.#####.#.#.##.##.......#..###..##.##.##........##....#.##.#...#...####.#...#..#.##.#..#..#..#####.#.#...#.#.....#.....##.#.##.....#..###.#.###.###.#.##...##.#.#.###..#####.##.#.##...#.####..###.###....##.#.#.##.#.###.#...#.###.##.##..##..##.##.####.##.#..##..####.....#..##...#.#.##..##..#....####..####.#.###.#.#.#.#.#..##.#.........##.#.#.....#.##........#...##.##.##.##...###...##...#.#......###..#..#....##..#..#.##.#...#..#..#..######...#..#####.#....#...#.##.#######...###....#.###...##...#.##..##.....##..##....#.#####.#...#.#.##.###.##.#..#...###.#...#.####.#######.###...###.##...##..#..##....#.###.#.#.#..###....###.##....####.##.###..##....###..###.###.#.#####.#.#....#.#.#.##..#.....#.#...###..#.#.#..#...###....##.###.####.#.##.####....#..#..##.###.#..##..##....#..#...#.#..##.......#...##..#..##.#...#..###...##.##.....#.#....#..#..##..#...#..#..#.#.##.#...#..###.#...##...#..#..#.#......#..###.##...###......###.##...#...#.#.##.###.##..#.#.##.#..######.##....##.##.##..#.#.#....###.#.#.#..##..###..##.##....###..###..##.#..##..##.....##.##.##.############...#..##..##...####..#.#.####.#...####..####.....###..###..#..##..##..#...########..##.#..##.###.##..#.#..##.#.##..##.##.##.##..###..##.###.##..##....##......##.#..#####.#..#....#..#.##.####..#..#....####.#....#...##.##..#..#.####..##...##.#.##..####.##.##.#####...#...##.##..##..#.#...#.#####.#...###...#..###.#.#..#.#..###.#.##...###..#..#.##..######..###..####...####.#..##.#.###.##
.#..####.#..#...#.#..####.#.##.####..#.#.###...##....#..##.#.####.##...###..#.....##.##..#..##...#.####.####..##.#..#....#..####..##..#.#.###.....###.....###.#....#..#.####.###.#..#...#####.##....#.#..#####..#....##.##.#.....#.....#.###.##..#.#.#....#.##.#..#........#..#.##.#.##.##.#.##....#...##.###..##.#.#..##....#....##.......#.#.#.##..#.##.#.#######.#.....#.####...###.####..###.##..#.....###....#..####..#.#.###........##.#.....#.###.#.###.#.###....####.#.#.#..#.######..#...#########.#....##..#..#####.#.###..##..#.#..###.#...#.#.####.###.##....#######..###.#.###....###...#..#.##..#.###...##.###..##.#..#####.################..#.#...#....###..##.##..##....###.#.#...#.####.###...#....#.#.####...#...#..##.#.####..##.#####...#...#.#####.#.#.#..#####.#.#.#.#####..#.....#..###.###.###..#..#..##....##...#.##.#####.#.###......##.##...#.#..###....#.#####.##.#....#..####.#..#.#.#.#.##.#..#######...#.#.########.#####..###...#.#..##...#.##.....###.##..#.###....#..#..#.##...#.#.###..#.....##.##...#.####.....#.######..#.#####.#.#..#.####...###.#.#....#.#.##.....##..#..#..#....##........###..#.#.#####.#.#....#..#.#....#.####....#.#.#..##..#.###.#..#.##.#.##..##..##....##..#.###..#######.#....#....###.##.##..#...##.#.#####..##.###..#..#.#.##..##.#.#############.#...#.###...#.#####......##........#.#....#..###.#..###.##.#..##.#....#####.#.##..#.....#####.#.......#.#..##..#.#.######.###.#..###...#.#...###.#.###.##.....#........#.#..#.#.#.#.##.####..#..##........#..#..#..#..#..#.######.#.###.##....#.####.###.....###.##.#.###.....#..#...#.######..#.#####.#.#..###.###.....#...###..##...#####.###..#.###.##.#.##..##...####..#####.###.#.#....#.###.#.......##.##..####.....##...##..###...#####....#..#.#...#..#.##....###..#.####.#..###.##.#..##.....###.###..###....#######.#.#..###.###.#.#..##..##.##.###....##.#...#..#..#....##.###..#..#.##..#.#.#...####..#...#.#.#.......#...#.#.#.#......#..###..####...#.###.##..#...#...###.#.####..##..##.##..##...#.##.###.##..####..#.##..#..##.#..#.##.....#
#...#..##.##...###.##.#.#..#.#..###..##.#...#.#..##.#.##.####...#####...######..#.##..##.##.##..#..#.#....###..####..#.#..#####..#####.#....######.####..###.####.#.##.##....##.#.########....##.###..#####..#.##.#....##.#.#.###...##....##.#....##.#.#..###.#.....#####.#...##.##.####...#....###.#..#...##.#.#.##..#...#.##.##...##..###..###.###...#.##.#.#.###...###.####..#.##.##.###..##.....##...#.#####..#...#.#########.##.#.##.##...#.##.##.#.#.....#.##.#.###...##.##.######..###..#..#.##.#.#...#..##.#.#####.##...##..#.......#.#######...#........#.#....#..#.#.#.#...###..##.#.#..#.##.##.##.##.#..####.########..#..#.#.####....#..##########...####.######...#......##.###...#.#..#.#####.#.#.#.#......##.##..##...###.####...#.###.##....###..######....####...####..#..#.##.#........#..#..##...#.##....###..#..###.##.###.####.#####..#...#...###...#...#.#.####.####..##..#.######..#.##......#....#......###.##..#..##...##.###...##..###.#.###..##....#..###....####....#.#.#..#.###..##..#..#.##....##.#..##..#....#.#....#..##.#.##..##.....############....#.#####.#...##......###.###...#....#..#####.#..###.##..#..#.#.####..#.#.##..#...##.#.####.#####..###.#.#......#.#.####.#..#...##..#..#.###.#......###.#...#.#..###.##.#...#..###..#.##.#.....#.#######..#.##.#..#.#...###....#.##...#..#....###.##...#.####.###.##..##..#.###..#####.##.#.#.###.##..#.##.#...####..##.#.##.###....##.#..#.#...##..#.#.######..###.#..#.#.##.##.###.#.##.#..#.....####..###.#.##.##.#..#.####.#.##.##.#..#####..#.####.#.#.#.#.####..##..##.###.###...#..#..#..#.##.##....###.#.##..#...#...#..#.#..#.#..........#..##..##..###..#...#.###.#.#.##...####....#.....######.##.#.#.########.#...##..#.#.#..#.###.##..##.##.#.##.###..#..##.##.#.##..###.#....#.##.#.....####...##..#..###.#....#.#####.#.##.#...#.##.##..##...#...#.#.#........##.#.#....#..##.#.#....###..##..##.##.#.##..###...##.##.##.##..##.#..#...#.##.#...####....#..##...#.#.#########.#.#####.#....#..##.##.#.#.#.##.####..##...#..####.#.##...##..#.....##.#...##..##.#.####........
....#..#.###..#..#.#.####..#############.##.......###...##..###.#.##.##....#.#..####..#.######..####.#..#..####..#########.##.##.#....#...#.#.....###..#..###..#.#.####...#.#.#####.#.#.###.#..###...#..##.##.#####.#....#.....#...#.#.#.#.##...#.###.#..###..##.###..##....#..#.#.##....####...#.#.###..##..##....#.#..####...####.##...##.###...#....###.#.#.##.####..#.###...#.#...##.##.#.#..#..#.#.#.###.#...###..####.#...#..###...###...#..#####...#####....##.#.#.#......#....#..#..#..#....####.##.#..#......##..##...##..#....#....##....#.#....####...##.#....#.#.#..####.#..##.######..#..#.#.#.#..#...#..##..###...##.#..###.##.#.#....##.#.#..###.#.###..###..#.#.#..#...#...#....##..#...#.#####.##..#.#######..##.#.#..#.####.#....##..#.#.##.##.#...##...#..##.#..##.#####.#....#..#.####.#..#....#...###..#####.#.##..#..##.#..####..####...##..#...##.#...#.##....####.##.#..##...#####..###.##...###....#.#..######..#####..########..#.#.#..####.#.#.#####...##.##....#......###.#####.##.###.#.###..##.....##.#..##.##.#.....#....#####.##...#......###.##...###.#..##.......##.#...###.########..#...##..##.#.#####..##.####..######.#.######.####.....##.#.....#..##..###.##..######...##..#...##..#....#...###.####.###..#..#..#.#.#.######.####..####..#......##...#.#....#...##.#.##.#.#.###.#.#...#...##...#.#.#..####.####..####.#...##.#.#.#.##..#.#..##..###.#....##.....#.#......##.##.##..##.#.#.#..###..#.#.#..##..##...#####.#.##.#######.#.##.#.###...#....###..###...#.##..####.#.#.##..###...####..#####.#..#####..####....#.###...##..###..###.##.##...#.#.##....#.....#.##.######...#...##.....#..####..#.##.#.##.#.####.#.#..##.#.##..###.#.#..#....##.#..#...#...#..##.#.##..#####...####.#...#....#..#.#...#.#.#.#.#.##..#....#.##.#..##...####.########.#.#..##...##....#..##..#.##.#.##.#.#.###.##...#.####.##..###...##.##.##.#.##.#.##.#...##..##..###......###.....######...#.#.....###.###..#.##..#.##.#....##......##.#.#..##...#....#....##.#..##.#..#..#..##..####.#.#...######.##.....#####..####.#.###..#####...##....##..
#.#.##..###..#.#.#...##.#####..##..#..#.#.#.#..#........#..###.#.#####.##.#.....###...#...##.#..#.#######.#####.....#......##.#..##..#.#.#####.....#.###.##..##.......##.####.#..#........##....######..##..##.#.....##.######..#...#.###.##.####..##.####....####.#.#.#.##...##..#####..#.###..####...#..#.#.##..###.###.........#####..#####.##..#..####.##..#####..#..#..#.#.##.#...#......##..#...###..#..##.#.###....####....#...##..#..##.#.....#...##..##.#...##.#..#..##...#.#.##.####.......#####.##.......#..#...#.....#.#.#####.#.#.#.#.####...#.......#.#...#....#..#.##.##..#.#.##.#...##.......#.##.#...#.....##.###.#..##...#.#.#.#.#.#...#.#.#.#....##......#.#.#..#..#.#..###.####...###..#..#.#####.#.#..#.#.###.###.#.#.#.##.#....#..##...##.#..#..#...#.#.###.#...#####..####..#.###.#..#.#..##...#....####.###....##.#.#.##...#.#..#.#.###.##.#..####.#.##..###.###..#.#.####.#...###.#.###....##.#...#.###..##.....#..##.#.####....#....####.#.#.##.#...#.#.##..#.##....#.#....#.#..#.##...#####..##...#..##.#...##.#...#.#....#####...#.#.##.########.....#..#..##.###.#..#.#.#...#.##.#...###..#........###.#.#..###..##..#..##...##.#....#...........#.###..##..#.##...#.....#.##...####...##..##...........#..##.##.#.#.#.####..###....#..####.#..#.####.#.#.#.##.#.##.#........#...#####.###..#.#####.#..###.##..#....####.....##..#....#.#..#.#####.######.#####.##..#.##...#.....####.....#.####..#..#...#.#.##...##.##.......#.##...#..#..#....##.##...####.##.#.###...##...#..##.#.....#####..#...#.##..####.##....########....###..#####...#..###....#..#.#.#....#.#..##..##.#.##..##.###.##.#....#..###########..#####.#####...###....#.##....#.....#######..#####.#...#.#####..#....#.#..#..#.###.####.....####..#..##..###.###.###.####...#.####.#.#.##...##.....#..###.#.....#.######..#.#.##.#.#.##.#...#.##.#...##..##.#.......##..##..###..#..##...#..###.##.##.###......#.#.##.###...###.#.#####...###..#........#..#.#..###..#....##.#......#..#..#.#....##.#.#.#....####..........#..#.#.#.#.#....##....##..#.####.##.....##.#.###...#
#..##.#..#.#...#..###...##...##...##.###....##.........##..#.....#..#..##.#..#..##..#.#.##.#.#...##.##..#.#.#.###....#..###....#..#.#.####.###..#..##..##.#.#.#..#.#.#.###.#.###..##.#...#..#..##.#.###.#.#.##.######.###.#.#.###..#..#..#.#...#.#.#...#.###.#.#.#.#.###.#.##.########..#..##...#..##....#.#.##.##...#..#..#..#......###.##.###.#.#.#...#...##.#####...##..####.#.#...####.####..##.##...#.#.#.####...#.#..#.#######...##.##...#...#...#.######.#.##.#####..#...#.#..###.......######.###.#..#....###.#.....##.###.#.#....##.##.##.##..##.##.###.##.###.#..###..#.#############...##.####..#.#.##..##...#..#..#.###...##..###.###.#.####..#.##..#.######.###....##..##.##.##.#.#......#.###..#.#..##..##...##.###.#...##.####.#.#.##..#######.#....##.#...####....##.####.###..#.#..##..###..###..#.#.#######..###..#..####..###.###..##..####...####..###..####..#.###.##.#####.####.###.#.#....#.#...##..######.#.#.######..#..####.#...#####.#..#....#..#.#...#.....#..##..#...##.##..##.##.#####.###...###...#...#..#.##.#..#.#....###.##.##.######..#..###..##...#...###....##.....#.##.#.###...#....#..#####.#......##.##....#..##...#....#.#.#.#######.#.#.####..#..###.#..##..##..##.#####.#..##...#.###....#.##..####.#..#......####.#.#.#..###.#.#.###...##..#.###..###.##....###.#...#.#.##.######.#.###..#########.#.....##.#######.##.#..#..#####.###....#...#.#.####....#...#.####.#.#..#.#.##.######.#.##.########...##..#.....#...#####..#.#..#.##.##.###....##.#...#...####..##..##...#####.##.#####.##..#.##..##....#####...##.###.....#.#.##.#..#...###.##..####.#.#.#.###...#....##....#.###..##...#.#.#.##....####..#...#..####.######..###..#.#.#.##...#.##...#.##.##.#..#.##.#...######.#.######.##.#..#......#...##.....#.####.#.#.......#..##.##.##.....###..#..####.#.#.##..#......#...##..##.#.###....#...##.##.....#.#.##.####.##.#..####.#.#####.##..#.######.#.#.#########.##......#.####.####.#.......#....##.#..##.##.#.####.##.#..#.##..###..##.#...#......####.####.#..##.#.#####..#.####.##....##.#.#.####.#.###.#.##.###....
.###....##.#...##.#.#.#.#####...#....##..#.#.#..####..###....#..#...#.#...#.##..###..####...##....####.##.#.#######.##...#####...#........###....#..#..###.#..##....#.###.###....###..#.#..###..#..##..#.#.####.#.....#.##...##.#.#.##...#.#.#.##.##..#.#.....###....#...#.#......###.##.#.#..#.######.#######...#.#####.###....####...###....#...###.#....#.##..#...#..#.##.###..##..#..####...#......#.####...#####..##..#.##......##.##.####..##..##.#####.###.##.....#..#....#..###..#..##..##...#...#.#.##..#.##...##...#.#.#.##..#####.#.#......#.###.##..###.##.#.##.#.##.#.###.#..#######..##...#.#...........#..###.#.#...###.#...#..#...#.#..##......#.....#.#....######..#..#...##...###.#.#...##.....####.#####.#...##..#..##.#.##..####.......#######..##...#######..###.##..#....##...####....#.#.#.###..##.#....#..###.##.#.###.#.###.##.###.###..#.##..##.##.##....##.##.###....###...#.#......#..#.##.##.....#...#...##.....#...#####.#..#####...#.#...####...##.#.#..#.#.####.#.#..####.#...##...##...###.#..#.########.####....#..#..######.#..#.##...........#.#.#.....#....#.##..##..##.####.#...#.###.####.#..###.#.##...#.#.#..###....#...#....#.#.#.#.###.##.#...#.#.#.####.#...#.#.###.######..#..####.#.##.##.###...#####......##.#...###...#.####..#.###..#.##.##.#####..##.####....##.######.##.########.#.#.....#...#..#..###.#.....####.#####.#..#.#.....##.##.#.#.#.#..########.#..###..###########.##..###.#....#..##.####....#...#.#.#...##..#.###.#...####..#...#.##.####.#...#...##.####.#.....#..#.#...##.###..##.###..#..##.##..#...#.#.##..##...#.#.#####..###....#.###.#.##.#....####.###.######...#.#.####.#.#####.#.....##.#.#.##.#.###.##..###..#.#..##.#.###....#.#..#.#.##.#.####....##.#....##..####.##.#..#.#..###.##..###.##...#.#....##.###..##..#..#....##...####.###.####.#.#...###.##..#.#..#..#.####....#.###.#..####..#######.###..####..#...#.##..#.#...###..####.#..##.#....#..##.#.#.###.#.#.##.#...#..#...###...##.###..#...#.####.##.###..##.#......##...##.....##..###.####.####.##..###.####.##..#.#.#..#..#####....
#.##.##..#########.##...#.....##.#.#.###.#.#...#....##...####.#..........#..###.#....######......#..###.....##..####.##.#.....#...##.#.###.##...##..#...#......#....#####..#.......##.#.##..##....####....#####.#.#....##.###..##.####.#####...#...#..####.#..##....##..#.###..##.#..#######..#.##.###.##..#####....#.#.....###.##.#..#.##..#...#.###.#..##.##.#..###.#####.##.##.##..##.##..#.####..##....##.#..##...###.##.#..#.##.#.#.#..##.#..##.#######.#.#.####..##.#.#.###....#.#.#####.#####.#.##.#########.#####.#..###.####..#..##...#...#.............#.##.#.#.##...##.#####......####..###.#####.#..#.##...##.##..##.##...###..##.##.#.####..##....#.##...#....#.##..##.##.#.###.##..##.#....##.....##.###......#.#.#...#...#####.####..##....#.###....#######.##.#####...#.##..#....##...#......#####.###.#..#####.....#.#.#..#.#......##.###.....#....#.#####..#....#.#...#....##...#.####...##.#....#.####.##..#..#.#.#...#####..#...######.#.....##.##..##.#.###.###..#..#.####....#.##..#...#####...##.##......#######.#....###..###...#..#####..#..#...##...#..#####.....####......###.##..##.##...##.#.#.##...#######..##..#.##.###.###.#....####..##.#....#.#.#.###.##...##...##.#.#....####.....#..#.####...#...##.#####.##.#..#....##.#..#..#..###.#.#..#.###.....#......#.###..#.###..###.##..##..#...##.##.#.##....#.##.#.#..#..#.#.##......###...#####...#.##...#..##...........#...#..##.#.#..##.##....#.#..###...#.#....#.#.#..#..##.#..##....#.###.#.##....#....#.#.###.###.##...###..#.######...####...#####..##..#....#....#.##..#.####..#####.########..##.##.#.#......#.#.##...##.###.#.##......#.##.....##.#..#.#..##...#...###.####.###.###.#...#..#.###..#...#.#...##.#...####..##.##...###.......#..####..#.###..##.##...#.#####........#.....###.#.#.#..#.##.#....########.##...#.##....#..####.##.####...#.#..#...##.#..#.#..###....#.#.###..#..#.#.#.####.......#..#.#.#..##..#.##...#..#..##..#...###..#.#..#..#.....##..#.#####.#.#.##.#..######.#...#...#...##...##.#..#...##.###......###..###.#..#..#.#...##......##....###.#.#.#.#.
#######...##.#..#.##.#..##..#..##.####..#.#.##.#...#.#.#.###.#.#######....##..###..#..#.#.#..#####.#..#..##...#.....####.#.....##.#..#....##.######.#..###.##.#.....#..####....#.##.#.#...###.##########.#..##.##.#.#.##..##..#.#..###..##.#......#####..#.#..###...#.###.#...##.####..###.###...#.##.###.#...#...##.#####...#.......##.#..##.#.#.##.##.#.#...#.###.###...#...#.##.#...##..#.#.#.##.....###....#.#.###..#..#.#...#.#...#...###.##.##.#..#..##......##..##.##.##....##.#..##.#..####.###...#.########.#.#.#.##..##.##....##.####...##.#.#...#####.#...#.#.##..#####..#....#.#..##...#..##.....##.##..##.###.#.#...##......####.##.#.####.##....#.#..##..##.##...###.##.#..#...#.##.###..#.#..#..###..#.#####..#.#....####.#.##.##........###.........#...#####.###....#.#......##...###....#####.##..#.#.##...#.....#.##.#...##....##.#.#.#####.###.#.....##.##..#..###.#..######........##.#.#..###...##.......###.#...#.....##..#...#..#...##.#.#.###....###.#.#..#..#..#..##.#..##.##.#.#.#...#........#..#.##.#.##.#.#.#..##....##..#..##......#.####.#.#..#...#..#...#..#..###.##..####.#...#.....#####..#.#.##.##.#.##.##.#..#...#....##....#.#....##..###..#..##...###..##.#.##.######.#.#....####..##.#..#.##....##.#.####.#....##.#..#.######....###.######..##..#...#...#.#.##.#.#####..#########.#...#.#..#.##..#.##.###.##.#.###..##.#####.###.#...###..###.#.##..#...####.##.#.###.#..#####..#.#.#..#.###.##.####.##.....###.#.#.##.####..##.#..##.####.#..###.#..##.##.#.....##.#.#..###.........#...####..##...##.##.####.###.#.##.###.#......#.####.####..##..##...#####.####...##...........#.##..#####.###.##..##.####..#.#.#...#.###.......##..#####.#...####..#..##..##.#.#.##.#...##......#..#.##.##....###...#.####.######.#.#..###.#...#.#..###.###..##.#...#..#.....#.....#...#.#...#.###....#.........##.###.#..#...##.#.####...#######.##..#.###......###.####..####...##.##...#..#####....##...#..###..##.#.###...#####.###..##..#.#..#.#..#.##...####..####.###..#.##..##.#....##.##..###...#..#..#.....###...##.###.##..#...##..##.#
####.##...##.##....###...#.#.....#.....#..####.#.#..#..#.#.#.####.####.#..##.##...#..#.######.#####.#####..#.##.##...#####.###.##.###.##.##.#..#.#.###.##.###.##.####..##.##..#......####.###.#..#######..#####.#..###.#.##....###..#..#.####..########.##.#.##...##.###......###...#..##......####.#..######.########.#...####...#..#.###.##.#...#..#..######.#....#.....#.##...#...#.####......#.##.#..#..###..##.#..##.##....#...##.##...#.###.#..##....##.#.##.#.###.#..###.#.#......#......#....#..#..##.#.#.#####.##.#####.##..###....##.......##...#.#..#...##....##...#...#.#..##.##.####.###...#.##..#.##......####.###..#..###...#..####.#.####.#...##.##...#.###.##.##..#...#..##..##.#..####...##......##.#.#....#...##...#..#....#.#..#...######......##...#..#.#..###.#.####.#....##.####.#..###......#.#..##.#...##.#.#..###..###...##.#.##.####..#......##.#....#####..###.###..####..#....#....#...##..#####...#.#.....##.##.####...#...##.#.##..#####..#.#...##...#.####...##....#.###.#....###.#...#..####..##..#.#.#.#..######.#.##.##.#..###......##..#..######...#......#..#....#.#####..#..##.###....###..##.##..#....#..#.#.....##..#.##.#..#.#.####..#..#####.#.#..#....###.#..##.#...#..##.###..#........#.#......#.#.#.###...#.#..###..#.#.#...##.#..#..#.##..#...##.#..##.#.#.##.#....###.#.##.##.#.##.##.###..##...#.##..#####.#.##.#####.##..######..#..#.###...#.#.#.#...#...##........###..##....#.#..#.##.#.#.##..##...##.#.##.##..###.#.####.#.#....#....####..#..#..#..#....#.#.#.#...#.##..#####....##.##.#.#.#.......##.......##..#.##.#.##..#....####........##..#......###.#.####...##.##.##....#.#..#####.#.###.....#..#####.###.##..####..###.#...#..#.###.####......##..##...###.#######....#..#..#.#..#...#...###.###.#....#.##.#..#.####........##.####.#.#..##..#.#..#.#...###.#.#.#.###..###.######..#...##......##.#.#..#..#####..####.#..#...###.....##......##.######..#...##.###....##.#.###..#.##.#.###.#.#..#...#..#.##.##.#..##..##.###....#.#.#.##.#.......#.#...###.###.#.#.#..#...##.##...#....#####..#.##....#..#.###..
.#.##....##.#.#..#..#.##....#####..#.##.##.###..#..#.#..##.##.###....#.##.##...##...##..#.#....#...###..#.#...#.#..#..#.#.#...#.####.###.#...#....##..###.##########...#.##..##.####......#..#..#..#.##.###.####..#..#.##.#...#...####.#..#.##.#######.#.......#####.....###..#.##..#.##..##.#.##..#.....#..##.##.###..##.#####..##..#......##.####..#..#.#..#.#.###.###.##..#.######.##...##...#...#.#...........#####.####...#.###.#..#..#.##..#..##.#...###.#.###.###.#.######.###.#.##..#.##.#.#....##..#.##.#.##.###.###..#..####....#..##.#....#.#.########.#..#...##.......##..##.###.##..##..##.###..#...........#.#.##...######..#.##.....#.#..#..##.##..##..##.......##...##..#..#.....####..#.###.#.#....#..##...###..#.#..#.###..###.#.#.####......##......#.###.#.##.##..##.#.....###..#.###..#.#......###.####...##.#..##.##.#...##.#.....#.##...##..###..###.....##..######.##.#..#.##.###.#.#..#..###..####.###..#...##.#..#..#..###.###...##..##.##...##.##..#.#.#.##..##......#.#.#.#....#.###########.##.#####..#.#.#...#.....##.#..##.####....#####..#...##..#.####..#..###.######.###...#...###.#.####.....#.#####....###....####......#..#.##.######..####.##...##..##...##..######.##.#.#...#.##.##....#.##.#####.##..........#..#.###.#..##..###.##.####.#.#..#....#..##...####.#...#..#...####....##...#..#.#.#.........#.###..#..#...##..#..#.#.#.#.#...##..#.###....#######..#...#####.#.#.#....#....###..#..#.#.#.#...#.#.######..##..#...#.#.#.#.#.#.#..#.#.#...##...#.....#.##.#...##.##.#.##.#####.#.#...##.##..#.####..#.##....##.#.###.#..#.#..#.#.###.#..#####.##..###...#...##...#....#..###...#....####.##.##....#####.#..##.##.###..#..##.##...###.##.###.##..##.#..#.....###.#...#.##.###.##..#....##.##....#...#.#.###.....###.###.#.#.....##.##...###.##...######.##..........##.#..#..###.##..########.....###....#.##..##...##..#.###.#..###....#...#..#####.###.#.##...#....#.#.....#..#....#..##..#..#.#.###.#####..###.#####..#####..##.##.###.#...######.#...#..###.##...#.####...######...#...#..#..##.###.###.#.#.#..###.##.#.#.
#######.##....###....#..#.##.###..###..#....#.#.#.###...##.#.###.#...##..##.#.#.###...##.#..#####.#......#.#....#.....##...###.##.#..#..#..##..###..#.##...#...#.##..###.###..#.###..#.#.#.####.#####.#.##.##..##.#....###.####.#####..###.##..#..#.#.###.#.#..#.#.....##.....#...#.##.....##.#######.#####.####..#..#..###.###.#.#..####.######.#..#.#.######.#...#####.#..##..#....#.#..#..##...##.###.#.#.#..####..##.....##.#....#.#.#.#.###..#.#...#..##.###......#....#..##.#.###.##.#....###...###.#####...####..#..#####..#####.#...##.##.#..##.##.##.....###.#...###...#...#.##...##.#...#..#...##.######.#.##.#.##.#....##.#.#...#...#...###.#.#..#.##..####.#.##...####..###.....##..#...##.#..#..#.#####.#...#.#....#.###.#....##.#...#.##.#####......#...#..###...###..#.#.....#.#.##.#.##..#...#.###..#######..##..#......###..#..#..........#####....#.#..#.#.#...#.#.#.##.#....####....#.#.#..#....##...##..#.#####.#.##.#.###..##.#.#..#..#.#.#..#...#.####...##.#.#####.##.###.#.#.#......#..#...#.#.##..#......##..##...##...#......#.#...##.#....#.#.##.###..#.##.#.####.####..#######.#.#........###...###...#.##########.#.#.#..#..#.#.....##.#....#...##.#.##..###.##.###..#...###.#....##...##..#...##.#####...###..#..#.#.###..#..##..#....####.....#.#....##.#..##..#.##.#..#..#..###.#.##..###..#..#..###.#....#.##########.#.#....#......###.....##..##..#.#.#..........#.##.###.#####.##.#.###.##..####.##...##..#..#.##...#.#.....######.#..#.#...###..##..#.#.#..#..##..#.####....#.###.##.###.###.#.#...#.#.#.###.#.##.###.#.########..##.......##....##.#..#...#.#.#..###...#.##..###.##...#..#.##.#.#...#.#..#.#..###.#...##..###.........#...#.#.######.##..###.##.####..#.##.##.##...#....#####.##..#.###.#.###..#.###.###.#..#...##...#.#.#.##.##..#...###.#.#....##.#....#...#.##.#.###.###..###.....##..##..#....#.....#.######..##########.....##.###.......######.........###.#......#.....#..#.##.####..#.######..####.##.#...#..##.##..#..##.##.##.#.####...##.####..##..##.#.##.##..#..#..###.#.......#......#.#.##..#.#...###...##.
.#.#.#..#.##.......#.##.#..##.#.###..##...#.....#..#..##.#.#....#..#.#.#.##.....##..####..##.#.#.###.#...#..#.#..##..#..###..#.###.#.##.#.#.##..#.#.#.##.#....###..###.##.##....#..#..#...#.#.##.#...##.#.####.###...#...#.####....##..#.#..#.#.##..#.##...##..#.#.....####...##..#..#.###.#...##..#..#..###.#.....#...##..#.#........#.##.####.....#.....#.####...#.#.####.###.##...##....#...###..#.#.####.###...##...####.###..##...###....##..#.##.##.........#..####....#.#####..#.#..###..#.###..########..#.##.##.##.#####..####.###...##.#.#..#.#..#.#.##.#..#.###..####..#.#.#..###..#........#.#..#######.###.#.##......####.#.#..##.###....##.##.....#...##..#..#.##.#.#.##.#.###.##..#.####.#..##..........####.##....#...####..####.###..#...#.....####.#.#.#.#.####..#.##..#####.#.#..##..##.#.#..#.###.#..#.#.##......#.###...#####.#..#.###.#.##..##....#.#....#######.....#.###.####.####..#...#.#......###.....##....#.##..#.##.#####.#.#.#####.#..#.#..##..###.#....#####.###....##...#.#..###.#####...####.###..#.#...#.####..###.###..######....#....#.####...#..###.#.###.#.##.#.###..###..###.#.......#..#####.##.#.###..###.##.###.....####.###.#.###.......#...#.#.###.##.#.#######....#.##.#.....##.#.#..#......###.####..#.##.####.###.####...#....##.#...##....#.#.##..##...#....#.#..#...#####..#.##.##...##.#....#.##.#..#........#...###.###.#.##..##.####..#.#.###.#.#..##..##.##...##..#...#..##..#.###....##..#.##......##.#....#..#.#..###..#.#...###....##.##....#.##.#.###.##.#.#....#.#.#.#..#....#.#..#..#.#########.##...###..##.#..#.##..###.#.##....##..#.....#..#..###..##.####.##.#..#.##..##.#.#...#..###...####.##.####.....#...#.#.##.###..##.#..##..#.##.#...#..#.#.####..#.#......#..#.##..#.##...##.#.###.###.#.#####.##..#.####.##.#.#.#.....###.#.#..###.##..#..##.#.#...#..##.#......#.######....#........#.###..#.#.##...###...##.####.####.#..#.##.####..###.#.#..##.#...#...#.#...#.#.###.#######...#.##..##..###.##....##...#..###.#......##..##...#...#..#.#...#.#.##.#..#.#..##....#.##.#..#.##..##.#.....#.#....#.#.
.#..##..###...###.##.##......#......#.####.##.##...##.....##........##.#.##.###.#.#######........###.######.#.#.......#...#.#.##..####.#.#.##.#....##.####..###.....#...##..#..##.######..#.#..##.#####.#.#.####..###.##..###.#.....#.###....###.#...#.#.##.##..#.##.....##..#.#.#.##..#.###...##.#####.#...####..#.#..#..##.#..#.##.#..#...#.#....##....#..#..#.##.#..#....##.###.#..###..#......#...####..##...###..##.#.####..##.#.#....#..#...##.##.##.##.###..##.##.##.####....###.#.##.####..###....###.##...#..#######..##.#...#.######....##.#...#.#.##.##....##.#.##..#.######.###.#.#.#.##...##..####.#.#.#####...##..#####..#..#...#####.####...#.###.##.#..#.###.#.##..#...###..####.#.#...###......#.#..##.#.#..#.#..#..##.#......##...###.#...#.#.#...#.....###.###.#.#..#....#.#.##.#.#######.....#..##.#.##.###..##..#..#.##....####.##.#.####...#....#....##...#.#..##.###...#.#.#.#.###.#...#.###..##.#.#.####..#..#.#....######..##.#.####.##..#.##..###...#.#.#.....#..##...#.###.####.###.#####.#.........#..###..#...##..###.#.#..#####..###....###...#..####..#..##.##.##.##...######.#.#.#.........#######...#.##.##.#####...#.#.##...#....#####.#.##..###.#..###..#####..#.####....###...##...#.#..#.##.#..###..##..#.....#.###.########..#.#.###.##..#...#....###########..######.####..##....####.#.##...#.##...##.##......#..#...#..#####..##.##.#.#..###.##..#.#.#...#.#....#.##.....##..##.###...##.#....#...###.#..#..###......#...##.#..##....#...###.####..#####..##.#####.###..#.##......#.......#.#.##..##...#######.#.##.#.##..##.####.#..#.....##.##.#.##..#..#.#.###..#..#..#.....##.###..##.##.###...##.##..##..##..#####..#####.##.#..##.##.#..#....#.###..###....###.##.##..##..#.#.#.##....##.####....#######.#..#..###..###.....##.###.##...#.##..#.#..###..##..###.#.#.#......###.#.#.##.#.......##..#.#.##.#.##.###.##.###.#.#.##########...#.#.#####.###.#....#.#####.##..#..###.##..#.#.....#.#...##..#..#.....#......###..##.#.###.#..###.####..###....#.#.#.#.####.###...##....#...##...##..###.######....#...###.#.#.#####.#.#
.#..#.##.##.##....##.#.######.#.#....###...###..######..#..###.##.##.###.###.#...###..##.#.#.##....#...##.......####.#####.#.#..#...#..#.##..#..##..####..#...##..#...#.##.#.###..###.#..##.....###.#######..#.#.....###....#.######..###.###..##.###.....###..##.#...##.#.#.#...#.####.#.....###....#.##..#......#.####.###.#.##.#.###...#####.#.#.......#####..#.##.###..##.#.#.#..###.#.#####.#.####....##.####.##..#.#.####.#.#..####.........#...####..#####...#.##..##.##..###..#..#.##.##..####.#####.#...##.....##..##..#.#....###.##..#.#...#.##..###.#.##.#...#.#.........##.....###.#.#######...###.##.####..#####.#.....#.#...###.###..##.##.###...##...#.###...#.#..###.##.##..#..#.##..######.##..######.###....#####..#.###.#..#.###.#.#.###.#..#.##..#..##...##...##.#.#..##..###..##..##.##.#.#....#........#...##..#####..###.##.###...####...#...#...#.#.#.####.#.####.#....#####.#.###.#.#.#.#.#..#.##.##.###.#.###....#.#..##...##.##..####...###..#.#.#..####.###.#####.......#.#...#...#...###..##....###.....#..#.###..##.##.#...#.##.............#####.#####.#.####.....#.#.#..#.#.##...#.#.##..#.########.##.##..#...#...#..##..#.##..###..#.####.#.##.#..#..#.##..##...#..#.#..#...#.#.....#.##...###.##..#....#.#......###..##..#...#.#..#...##......#.##.#.##.#.#.#.#.##.#####.#.#.#..###.##.###.###.####.###.#.##.###..##.......#.#.#.....#.#.#.##....#......#.#.##..#.#..###.#.#..##.###.#.###.##.#.#...##....#.##..##..##..##...#.#####..#.##..#.###.###.#...#.#.#.##....#.##.###.##...#.#.##.#..#.#.....#.#.###..#..###.....#...#.####....##.##..#.....#......#...#...##......##...#..#..#.......#.........#..#.#.###.##..#.#####.#..###.#.#.####.##.###..#.##.#........###..##..#..##.#..#..#..#..#.#####...#...#..##.#..####.###.#..####.###.#...###..#.###.##..#.#..#......##.##.....###.####..###...#..#..#..#.####..##..#####.#...##.##..#####.#..#.......#......###.##.#.#.#.#.#...#.###..#..##.#.#.###......#.#..##...#.###........#.##...#.##..###....#.#...#..####.##.#...###..#..#..#.##......#.#..##..#.####.#..#...#..#..#..#.###..
#...##....#####..#.##.####..##.#.####...#....#...#.#######.#..#.#....#.####.##........####..##...#####....#..###.##...#..........#..###.####.####.#..#.#..#.#.##..#...##..#..#..#..##..#..#.#.##.#..###..#.##..#.####.#.#..##...#.###.#.......#.##..##..###.#.#.###.....#..###.##...####.##.###.#.###..#..##..#.#.#.###...####...#.####.#.......##..#..#...#.##.###.##.#.###.###..#.#..##.##..#...#.###.#.###...##...##..#####...#.#.#..##.####.##..#.##..#.####.###....##.##.#.###.###..#..###.#.#..#..##.##.##.......#####.#..#.#.#.#...#..#..###.##.##.##..#....#.#.#..##.###......####.##..#.#..#.#.#.##.##...###...#.##.#####..#.#####..############....##.##.#....#......#....#######...##.#..###......#....###...#.#.##.#.###......#..#.###.##..#.#.#.#..###..#.##..#.##..##.#..##.##..#.##.##....#.##.#..####..#.#.#.#..#.#..#.###.....#..#####..##.###.#...##.#.####.####.##..###.####...###..###...##..#.###.#.####.#########..###.##..#######.##.#....#..#.#.##..##.#.#..#.#.###.#.##...#.###.#..#..#.#.#.##.##.#.#.#######.###...#.##.....#.#.#.##.#.#..###.##.##...####..####..#....#.#########.###..##.##.#.#.#..##...###..#..##....##..#.#..###..###...#..####.#.#....#####.#.#..##....##...##.#...##..####.....#..#.##.##.###..####.##.###...#..#.#.#.#..#..##...#..#.#......##.#.........#....##..##.##...#####..##......#.##..###.##..#.###...##.#######.#..##..####.#####..#####....#.....##.#...#....#.##.###..###...#.##.#.##...#####....#.#.##.###.##......#..##...##.....#.######.###..####.##.....#.#.##.##...#....#.##.#..##..#.###........#.##.##.#####...#.#.#..#.####.#####..##.#...#.##.##..#.##..#.###..##.#...#....#.##.##..#...#.#.#######.....###......##.#..#..#.##..###.#..##.##.#.#...#....##..#.#####.#.....#.#..#.#...#.##.##..#.#..#..#..##..#.#.###...#.##...##.#..#.###......##.######.##.#.#..####..#..#.#.#.#.###..####.#.##.#..#.##.#...#####....##.#......####.###..###.#.##....#.####..#####...##.####..##.#.#.#......#.####..#.#.######..#.#..##.#.##.###.####..#.#...###.#.#..####.....#.##..#.#.#....###..##.#.########.##..##.
.....##.##....#.###...##.#.....##.#.......#.####..#.###.#.....#.####....##..###.#....#...#..##.##....#.#...##.#.##..#...#..###.#.#..#..##...####.#.#..##.#.##.#...#.###.##..###.#.##..#.##..#####..#...##....#.####.#....#.#..#.##.#.####..#...#....###......####.#.#......#..#..#########.##..####...#...###......#####.###..#...##.###.####...#.##...####..####..##..##.##.#..###.#..#...#####...#..#.##.#...##...##.....##...##..#..#....###.....#...###.#.###..#.#.####..#..###..###.#####..#...##.##.....###########...##.###.#..##..###.#.....#.##.###.#.###...##..#.##.....#.#.#...#.......##.#.....#####..#..#..####.#.##.#...#..###.....#..####...#..#.#.#.####.#..#...##.##..#.###..##.#.##....#.##.#...##........#.#.#.#..#.#.###.#.##.#.....#.#...#.#...#.#.#.#..##.######.#...#......#..##..#.####..#..#.####.#..##.##..#....####.###.##.######.#.##..###.###.####.#.##..#...#..##.#.##...#.##.##.###.##.#..##.#####.##..#...#.......#...##..######...##.#...####..##..#..#.#.#..###.####...#....#.#.#.#.##.#.#.#.##..##..##.#.#.....#.##.#......#.##.#..#.....##.###.#.#.#.#...#..#...#.#......#....########..#.##.##..#.#.####.#...##.########...#.##..###....##...#.#....###.###.#####.##.#....###.#.###....#####....#.##.#.#.##.#####....#.#.#..###.#.#...########...##.#.#.###..#..#.#.#.#...##....#..#...####.###..#..####.#...#..#.##..#...######....####.....#.#..##.....#...#.....###..###.#####..###.#..####....#..#######..#..#..#.#.##.#.#.####.####.#..#.###.#..##..##...#...###.##..#...##..#.#...##.###.#..##..#.##..######...#..#.###.#.####..#..##.#####.##.#.......#.#..##..##..#.....##..........##.#..######..#......##.......#.#..#....###..#..#.#..#.#..#.##.#.###.##....#####..##...#......#......#.#.#.###.#..###.#....#.##.....#.######.#..#.##..###.#...#...###.######..###.####..#...##.####....#########.#.######..#..#......##.#..###.#.#..#.##.#...##.#.#....#.#..#...#......##...###.#.#.#..######..#.#.#....#..#.#.#####.###....##...##..#..#..##..####.##..##.##....#.....##.####.#.#..######.#.#...#....##.##.##....######..##.##
..#..##.#.#.###..#...####...###.###.#...##.#.#.####.#..#....#.##.#...#...#.##...##.#####.#.#.###........##..#####..#####..##..#.##..#..#......##.#.#.##......##....#..##....##...#..#.###..#..#..####..#....####.##.#..#...#.###..#..##.##.##.#...#..#..#.#.#.##..##.####..##.........##....###.#.#.##..###.#.####..##.##..#.####..#####.##.#.##.#.#.###....##.#..#....#...###..###..#..#..#.#...#####.####........###..##.####.#########..###..#.#.....#.#....##.###.###..#.#..#####..##..#....####...#.##....#####...#.#..#.##.#####.##..#.##.##..#..#..#.#.##.#.#....##..###..###.....####.##...##.#####...##.#.###..#....###.#.###...##.#.#.####...#...#.##..####...#.####........###...###.##...#####....#.....#..#.###...##..#.#..###..#..###.#..#.#.##.###.####..#..#....#.....##....#..##.#.##.####...##.##..#..#...#..##...#.###..#....#.####.##..#.#.###.#.........#.##..#######..#..#...#.##.#.##..#...#.##......###.#.###.......####.#..#####..#####...##..#..#......#...##..#..#####.###.#.#.#.#.####.....#..###.#.#.#...#..#.#.####.##.##.###.#.#.###.#######......######....###.#..#.#....###.#.#...##.##..####.#....####.#.######..###..#.#...#..#..#...#.##...##...#..#..###.#...#..#.#...#...#......#######......#.#####.#....###..#.#.#.##########.##.####.#.....####.###.#.##.######...####...###...##...#.########..#.##...#.##...##..#.#.##...#..###.##..##.##.#..###.#.....#..###.#.....##.####.##..#...#...##.###..#.###..#..##..##...#.#.####.#.####....#...##.#..#.....#.#..#.#..#.#.#.#.##.#.#.##...##.##...#.###.#.####.####.#..#..#..##....#.###....#.#..#..#.##.##.#..#..##..#.#.#.......##.###.#######.#.#.######.#....####...###..##...#..#.#.##.####..##.##.#..###...##..#...##.##...####.###.##..#...###...#..#..#.###..#..#####.##...#..#..###.###...####..#.##.##.##.##..#.#######....#..#...#.######.#..#.#.#.......##....####...###.#.#...###.##..#..#.##..####......#..##.#.#.#####..##.##...###.#..#.#..#.#..##...####.#.###.#.##..#....##..##.##.#...###...####..##...#.#.#..###...#.##.#..##.#...##...##...#.##....#..###.#.....##.#..
#.##.###.##.####....###..#...#....##....###.#.#..##.##.##.#.##.#..##..##.#......##..##.##....#.#..###...######....###..#..###.##.#.....##...#.####....#.#.##..##.#.#.##....#..######.##..##...###.###.####...##..#.######..##....##....#..##....##.#.##.##...#..##.##########..###.#.....####..#...#.#..#.#...#####.##.##..#.#......#..######.#...#.#..#.#.#.#..#######..######.##..##....###.#...#.###......##..#.##.####.#.......#...##.###.....###.##..#.#..#.##.##.####.#..####.###..#.#..###...#.#..###..####...##...##..##..###...##.#.###..####.###..###....##..#.##..##...############.#.#..#.#.##...#########.##.#..###..##.##.#.####.....#.###.##......##.#.#.######.###.#....##..###.#......##.#.#..#...#.#.#..##..###...#.#..#.##....#.#.....#.....#................#.##.##.##..#....#.##.##..##.#.#...............#..##..#.#..#...##...###..#....##..#.###..###.##..##.####.#.####.#.....#.#####.###.#..#.#..####.###...#####...##.#....#....##.##.##....###....###.###..#.#.####.###.#..#..####.#.##...##..#.###.##.#..####..#.....###....####..##...#.##....#...####.##..#.##.##..##...#.##.###.#.....#...########...#.####.#.#....####........###.#..#.....##.##.#.###....##.##.##..##....#.##.#..###.#.#....##.##..##....####..###.#####.####.##.##..#####...#.##.#.##...#.#....###.##..##....###.#.#..###.###.#.###.#.########.##.####.######....####...#.#..####...#.#.#.#..#.#.......#...##...##.#.###...##.#.###....##.#.#..#####.#..#.#.#..#.......###......###..#....##..#....##.#..#...#..###.##.##.##...##.#.#.####.#.#...###.##..######.#..###...##..##...###..#.......#####.###..####.####..####..##.....####.#..##..##.##.#...##...##...###..#.#..#.......#..#..#...#..#...##.#..#...#.####.##.##.#....#.#.###.##..#...#...#..##.#.####.##..#.#..##...##.#..#####.##.....###.###.#.#..###.######...####..##...##.....#.#...##.#.#.#.#.......#.#..#.#.###.###.##.#..###.....######...####.#.###...###.#.##.##...###.##..####.###.####.##.#..###..######......##.#.#..##...#.###....###...###...##.####.#####..##.#..##......#.##.#.#..#..#.##.#......
..#####.#.##.##..#....#..#.##..#..#.#.#####.#....##.#..#...###....#...#..##..#.##.##.####...##.##...##...#.###..##.#..##.###......#.###....####.#.....##..##...#..##.#.##....#..##.#.###.##.##...#...####..#..####.#.##......#...###.#..#.#####...##....###.#..##...#.#.##..#.##...#.....##....##..##.##..##.#.#####.#.....#.####.#..#.#..#..##.....#...###.....##.#..#.#.#...#.#..#..##....##.#.#.##..######...##.######.#.#.#....#..##.###.#...#.#.##....#.###.#..#..#.##..###.....####..#..####.##..#..#...###.####.####.##...#...#.#..#..##........#...#..###.###.....####.###...##..#.....#.####.##.#.##.##.###.##.#.###...##.##....##.#.#..#.#.#...#.##.#####..#.#.##.#..##.##.......##.#.#.#.#.###..###..###.#.####..#.#####..###...#####.#.#.#..#####..#.#.##.#####.####....#.#.#...#..#.#.#..##.#.....###.####.#.##.##...##....##.#..#.##.##.#..##..#.##....#...###.##.####...#.#.###...##.#......#..#..####.##.###..#.#####.#.#.#...#..#...#.#.#....###.######.....#.##..##..####..########..####.###...#..#...##.#.#.#.#####...#...#.#.#..#.###.#..######.#....##.#...##...####.###.##...##..###.##.#.#..#..##.########.#....#####..#..###..##..####.#.....#....##.#.#####....#.##...#..##.#..##.##..#...####.#.#..######.####.#.#..#.####...##........#####.###.######.####.#..#.........##..##.#........#.###.#.#....###.#.....##.###...##.#....###..#######..###.#.##.......##.#...#.#.#.###.#...#..###..#.#.#....#..#.#.#....##.#.#...#..####..#.##.#.#.#.......#####..###.#.#.######.#.####.....#.##..#.#..#.#..##.#..#########.##.###.#.##..####..###...#.###..#.#.#.#..#.###...#..#.#.##..####.#...#.##..###.#.....#..#####..#.##.#..###..#.#....#.##...##.#.#.####...#.##.#...#....#.##...##.###...##.#..####.##.####.#.#.##.##....#..##..#......#.#.##.##.#.#..#.####....#...#.####.#..#....#.##...#...###.#.#.#..#.#..#.#...#.###.###.....#.##..##....#.#....##.###.#.#..#..##.##..#..##.#........#.#.#....#.#..#...###..#.###.#.#####..#.#.##..#...###.#.....#####.#...##.##.#####....##.#####..#.#..#.#..##.##..#.#.....#####.##.##.#######.#..#####.##..
.###..#..#..##...##..#####.#..#.##.#....##.#..##..#....##..#.#...#..#.....#.##.#...###..#.#.#.#.###.#.#.#....#...###..#.#...##...####...#.#..###...#..#.#.#.###...#..#..###.####.#...#.###.##...#####.#.#.#####....#..###.#.####.#.####.#.#......###...#.#...##.#..###..#.##....#..##....###.#.####..#.#.#..#........##..#..#.....##.#..##...####..####...#.#####.###.###...##..##..#..###..#.#.###.######.#.##..##.##...#.#.###.###....##.##....##########.###......##..#..#.####.######...######.###.#..##..#....##..#..#.#.#####.##..###.#...#..#.#..#.#....#..##..###..##.##..#...##....##..#.#...#.#...#.###....##.#...#..##..#.##.#.##..##.#..###.##.#....###..#.#.#...#.####.###.###...#..#..#..####....#.##.##.#.#........#...##..#.#####..#.#.#.#...##..#..#.#...##...##......#....#####.##...#.##.#..##.#.#...#..###.#######....#.##..###...##.#.##.#.#.#...#.###.##.#.##.##.##..#.####.###.###..###..#.....#.#.##.#....##.##...#....#..##.#.#.#.#.#...##...#.####.#....##...#..##.##..###.##.#...#..##..########..#.#..#.#.#.....###.#...#.##....###..##..##.######..#..####.###.###.#....#...#.#.##...#.###..##...#.####....###..###...#.###...#.#.#.....#.##..#...##.##.###..#..####..#.##.#.##..#.##.####.####.#####...#....##..##.##..#....#####.###.##..#.#..###.##.###.#..#####.#.##.##..#....##.....##.#.#.#.####.##.#####.#....##.###...#..###.....##..##..#.##.####.#..#..#.#.##.###.##..#.##.#.####.##...#.#..##.###..##.###.......##.##.##....####.##.....####...#...##....#.######.##.###..#.##.##..#.#...##....##.##.###..#.##.##...#...#.####..#.#.######.......##.###.#.##..#.#####..#..#.#..##.####.#...#..#..###.######.#...####.#..#..#....#.#.#......#.#....###...##.....####.#.#..#....#.##.##.#.#.#..###....#.##.##.#..#########..######...####.##.#...##....######.#...#..#####.#.#...........#.#...#...##.#.#####..###.##....##....#...###.#..#####.#..#.##.######.....#.#.#..#..#.#..##..#..#.##...###.##.###..###.#.###.###.#.##.....#..#.####.##..##.#....###..#..#...#...#....#.##.#.#.....#####.....###.###..##.....#.#####..#.#####.#.##
.###.####..###..####..#.....###...#..##.#####.#.#.####...#####..#..#....#...#.###.####....##..#.#.##..#######..##..##.#....###..###.###.####..##.#..#..###..#.##..#..###...#.....#.#......#.##..#.#.#.##.###.#.##.#..#.####.#....#.##.#.#.##...#.#..####.##.##..####.###...#...####....#...#..#...####.##.#.#####.......##.#.###..###.##.###.##....#.###.####.#.#######..##....##.##......#..#.###....#.#.....#.#.##.####...#.###......#.#......#.#...##.#.######.#..####.#...#.#...##.##..###..##########.....#.#.#.##.###.#.###.#..##.##..#.##.#....###..####.##...#.#..#.###....###..#....##.###...##.##....#......####.##..#.#...##....#.##..#####...###########..##.##.#......#..##.#.....#.#..##.#.#.....#....#.....###...#..####..##.#.##.#.#..##.###.....#..##.#.#.#.#.##.#.....###.##.#######.#.##..##..#.##....###..##.#.#.#...###.#..###..###.....#.##.######..#.#...##...#.##...#..#..#..#...##########.#######.##..##.#..###..#.#...#..####.#.####..#.##..###...#..#...#.####.######.#.##....#......#.#..#..#.#.####.#......##.#.#.###.#...######..#.#.#.###..#.#.##...##..#...###...####.#.####.###.#.#.####.######..#...#....###..#.#...##.#...#..#.####.##.#.###..##.#.#..###.#.####..#..#..#.##.#.#....#.##.##.....####.####.##.#.##.##.#.###.###.#.#.##.###.#.####..#..#.##.#.....###.#.##..#.##.######.....##.#.##...#...####...#.#.##.#.##.#######..#...##.##....#..###..####.###..####...#......##.##....###.##.....##.#..###.#......##.##..##..#....##...#..#.###.####......#.#..#...###..#......###..#.##.##..######.#.#......#.#..#...#...#####.####.#..#...####.###.#.#.#.#..##...#..#..#.##.########..#...##.#..#..#..#..#.....#......###..#....###.....#...##..#.###.#...#......#.######...###.####.##..#..###..#..#.##.#.#.######.##.#.######..########..#...#......###..#..##.####.######.....#.##.##.#...####.#..###.####..#..#.##.....###..####.#..##..######..##.#.##.##.#..#...#.##...#.#####.####.#.#.#############..##...#.#...#.#...##..#.######..##...##.#####.###.###.....########..##..#.##..####..#.#.###...#.#......#####..#...##.#.#..
#..#..##......#..#.###..##..######...####.#.####..#.##.#....##..#..#.###.#.#.##..#..##....#..#.#####.##..##.....###.#.#....###....##.##..####..##......#.#.#.#.#..###...##.##..##.#.#....####.###.#.#.#.#.##..#..#.##.###....##..####..#...#.##.....##.#.#####...####..##.##.#..##........###..#..##.#.####.##...#...##...#.##..####.#...#.#...#.##..###.#....#.#....##...#.#.....##...#..#.#.###.##.#.#.##.###.#...#.###.#..#.##.####....#..##.#..#....##..#.#.##.###....#.####.###...#..#.#####.#...#..#.##....##.####.####.####.#...##.##..#.####...##.#.#...###....#..#..###.#...##.#.##.##.#.......#..#.#....##.#...#...##..##..####.#...#.##..#####..###...#.#.##.##.#.#.....###..#.#..#..###...##..###.##.##....#...#.#.#....##....#####.##.###..#..#..###..#.###....###.....#..###...#.###...###..###.#.#....#..#.###...#.#.#..#.###.......#...##.##...##..#...#..###.#####.##.########.##.#...#.##.#..#.##..##....#...#.##.##..###.#..#.#.#.#...##...###....###.#######.....####.#####..##.#..#.#.##...##.#.#.####..#..#...#.##.##.######..#...###...#.##...##..#.#.##..##...#....#....#....###..#..##.##....#..#..#......##.######.#....##...##.####.#.###.....#...#.####....####...###...###.#.#..##....####.####..#...##.###..#.#.#..###.......##..#...#.##.#..##.#.#..#.#.#.#####....#...###.####...#.#.........#..#..#.##...#..#..####.#.##.##..#....#.#.#..#.###..###..#.#....##.####.#.#...#..#.##..###.##.#####.......#......##.#.......#######.#..#.#.#....######..##.##..##..#.##.#.......##..######..#..###...##.#.....#####.#.##...#.###.###..###.###.##..##.#...#.##.#####.#.....#.#.##.###..##########...#....##.###...#...########..####.#.#..#..#.##.##.##.#..##......#..##.##.#.#..#.##.####..###..##.###.##....########.#..#.....###..###..###.#..###.#..#.......#####.###.#.##........##..#.##.####..###.#####.#..#.#####.###.###.#...##.#.##.#....#.#####.###.##..##.#..###...#.#..##...##....###..#.######.#.......#.#..#..#..##.##.#......##.#.###.##....#...#.####..##.#.####.#.##......##...#..####.###....#..##..###.##.#.##..#....#.....#.#.#
.#####.#.#..##.#....#....##.##.###......####.##...#.#...##.###.#.#####..##.####...##.##..####.#######..##..###...####..##..#.##.#..#..#...#######.#..####..#.##..#...####.#.#.#...#.##.##..####.....#...####..##.#.....##.##...#.##.#..##......####.##.#.#..#..#..###.###.#.###...##..##.#####.#.####.##.....#.##...#..####...##...##...#.###..######.....##.###..#.#.#######.#.#.##..#.#######...###..#...#....#.#.###....#.#...#.##.###.#.#.##.###.....#.#.#...###.#......####..#.#.#####.##.#.##.######...##..#...#.##.#..#####..#..###....##...##..####.#####..#......###......##....#.##.####..####.##.######....##.#.#..########.#.##.....###...##.##..####.#.#..#.#..#.#.#####.#.##.##...###..#.#######.#..#.#.##.#....###.#....####.#....####.#..#..##.##.###.##.#...####..##.#.#.#####.##.#..##...#.###..##.##...###...##.#.#.##...##..###...########.##.#.##..#.#..#....##..#...#....###.####..####...#..#.##..##..#.###...#.#..##.#.########..##...#.###..#.#.#...###..#.#..####..#.#.#.#.#.###.#...#..#..#.#.#....#.#..###..##....#.##.#####.##...#.#####..##.....#..#...#.#.##....##..##..##.#.#####..###.#.##...#.#.####...#..#.##.##.#.#.#.####.#...#.##.#...##.#...#.#....#....##.#........#..#..#.##.####...#.#.#...###.###..##..##..#####.#.##.##..#...#..####..##.##.##..#.####..##..#......#...##.###....#####.....#.##.###.#..####...###.#.#..#..###.#.#...#.#..#.##..##..####.#.#..#...#.###..#....#.#####.##..##..#.#.##..#####...#..#######.#####.####...#.#....#.###.#...###.##.#..#..#.##...##.....#.#....#.##.#..###..##.####....#...#......##.##.#..#####...######..##.##....#.#######.###...#..##..#####..##.##..#.######.#........#....#.#.##.##....##.#######.........#.##.#...####....#.##...#...#...##..####....##.#.#.##...#.#.####.#.##..#.###.#..#.#.######.###..#...#.###...#.#.#..###....#...##.#######.###.#....##...#...#..###.#.##..#.#.#...##...#.##...##..##.#.###.#####.##.###.###.####.#...#.#..#.#.##.###.#.....#...#.###.##...######..#..###.#.#.#.#...##.#.#.#.##..#..#....#.#.#..###...#.#...#....#.#.......####.#..####.###.##
###.###.###..#....###.#.#....#.#####.....#.#.###.##...#..#..#....#..########.#.....#...#..###.........###.##.##.#.#..##.#...###......#.#..#.##.......##.####.#...#..#.#..##..#....####...#..#.##..##.#..######...#....#######..#.#.#.####..#...###..#..###.#..#..##.#....#........#.#.#.##......#.#.#.####...##..#..#.##...###.##.########...###.#.####.##.###.#..........##.....######..#.#..##.##.#.#.####.#.##.#.###.#.##...###..#.#..#.#..#...#...####.#...#..###.####....##.###..##.###.#.##.#####..##..#.#.#...##...##.#..#.#.##.##.#.#..#.#.#..#....#.##.#.###..#..#......###..##.#..#..####....#.#.#.#.###.#.##.#..###.###.....#.#..##..#.#.#.##..#..#..##.##....#.##.#.#...#....##..###..###..##...#.....##.##.#.###..#.......#.##.##..##.##.####..#..####.##..##.####..##..#......##.#.#...####....#.##.##...#####.#....#.#..##.#.#.##.########..######..#.##.##.#.#.##.######.#..#...#.#.#..#.#..######...#..##.......#.#.###.#...#.##.......##.#.#.#..#......#...........#..#..#.##.###.#.#.##.#...##....###.#.....##.....##.#.....##........#.###......#.#.####..#....#.......#.########.##.#.#######....#.#.####....###.##.##.##.###...#...###.#.#..#.######.#.##.#.###....###..#.#..#...####.....#####...#.######..#.#..###.#...#.#..##...#####.......#.#.#..####...##...#.#...#.####..#.##.###.###.....#####...##.#..##..##....#...#.#....###..#.#....##..#.###.##.#.####.###.#.#.#....##.#.##.#..###.#.#.#....#..#...#...#..#...#....##..#..#.#.#..#....#.#.#.##.#..#.#.##.####....#...#.#.#.#..#.#....#.####.##..#.##.#.#.#.....#.#..#####.#.##.#.##...###...###.#.##....##...#.#.#..#.#.####.####...#.##..#.#.....###.#.#.#..#..#######..#.#.##..#.....##....##..###...#####.#####.#.##..##..#..#.####..#....#..#..#..#....##..#....#.####.#######.##.#####.#...#..#.##.##.####.#...#.#########.....####...##.#.#####..#...###.##.####.#..##.......#.#.#.##.##.##.#.##.####..#.##.###.#....###.#.##....#.#.#..####.##....##.#.#...#...##..###.#.##.#.#..####.###....#...##...#....###.####...#.#.###.##.#.##....#..#####.##.#..#.##.###.###.###.#...##...#.##
.#..#..##.####.#...##.#####...######.###......######..###..##.....#####....#####....#..###.####...##.##.#######.####..##.#.####..........#...#..####..###..#.#..#.#.###......#.#....#.####.#...##.....###.##.##..#.##..#####.#...##..#..#.##.#.###..#..#.#.#.#######..#...####..##.#..#.##.####.#####..#.#.###...###..#.#####....##.#.##.#.#...#..####..##..#..#.##.###...#.####.#.###...#.###.##..#.....#..#..####.######.#...###....#####.#....#.#.###.#####...#..#####..##....#.##..##.##.#...###....###.###...###.###.#..####.#....######...#..##...#.#....#####........#..#.#..####.##..#.##...#.#.##.###.#.#..##.#..#...##.##.#..###..#.......##...#..##..#....###.####..###...##.#..##..##.#.#...#..#.#..#..#.#.#..#...#####...#....#..#.#########.##...##..####...#.#.###.#####.###.#...#.#.###.###.#.....#....##..##.####..###.#..#...###...##.....#...#.#...#.#.......#.##.###.######..#.##.###.####..##.#..##.#.######.#.####.####..#.#.##.#.##.#.##.###.#...###.##.....###..#####.....###.##..##.#.##.#.##.##.#.#.#..#..##..#.#..##..##..##.##.#.....#..#.#..######.#.##..##..#.####.#.##.#.###.##...###.####..##...###.#.#.#####.#...#.##..#.#....#.#..#.#######...#...##.##..#..#.#.##.##.....#.#####.####.##..#.#.#.##..#..##.##....########....##..#.###..####....#..#######.#.##..###.#.###.##.#...#...#...#..##..#..#######.#...#....##..##.#.###.#.#####..###.####..#.#..#.#..#.#.###.##.##..#.####........##.#.#.#.##..###.##..#.#..###.#..#...#...#.#.##.##....##.....##..#.#.######.##.###.#.##..####...#.##..##.....##..#...###.####.##...#.#....#....#..#...#.#..#....#....#.##.#.####..###.#.###.##.#..##.#.....#.##.##.####..#.##.#..#...#.##...##..#....######.###.##...#...###.....###..##....##......#...#...#.##.#.......##..##.#.#.####..####.##.#.##..#..####..#.#..##.#..####..#....##....#.#.#.......#...#.###.###..#.#.#...#####..##..###.##..#..##..##.##...###.##..#.##...#..#######.###...###..#...#.##.....####..#.#...#..#.####..#.#..#####.#....##..#####..##...####.########...##.##.###..##.#.##..##.##..#..#..#.##.#.##.##.##..#.###
##..####..#..#.###....##...#..######..#.#.#.###..##.......##..##....####.###....####...#.....#.#.###...#.##.####...#.#........####..#.##..##.##...#...#..#....#..##..#...####.##.#.#####.##..#..#.####...#.........####..###.##.##..#.#...##.##..#####...##.#.#.##.#......####...####.#......####...#...#.##....#...#..###..#.#.####.####.....###....#.#.#.#...####.#.###.##.#..##.#..###..###.#..###.##...#.#####..#######.#.###.##.#..###...##.####.#.##.#####.####..#.#######.#.#.#...#.......##..#.....#.......#.#..#.##.#..#.##.##.##.#.##.##......#.#..#...#...#..##....#....#..##.######.##.##..#..#...#.....#..##.##.##..#####.##..##..#.#.###..####.##.#...#.#..##.#.#####.....#..###.#.##.##.##.#.#..##..###....#.....#.#..#.#.##...#.#.......##.#.......##.#..#..#.###...#.#.#.#..#..#.##.##.###..####.#...######....#..###.#.####..##...#..####..#....#.##..#..#..#.###.#.####...#..##....#...#.###.#.#.#..##.#...#....#..###...........##..##.###.####.###.####..#....##.....#..#...#....##..#.....#.#...##..#..##....#.#.##.#..#..#.####.#.##......##..#.#...###..#.######.###...#.###########.#...#....#...####..#...#.##.#.###..#..#.###...#.###.#.##..#.#..#....#####.#....#.####...#..#.#####.######.#..###...##..#.###.#...##....##.#.#...#..#.#...#...#.###..#####.#####........#...##..##.###..###.#.####..#....##..##.......#.#####..##.###..#....#...####.##.###...#..#.#....##.#.####.##.#####.#...#.#.#####......#...#..##.####.#.#....###..#..########....##.#####..#.#.##.#..#....#....##.##......#.####..#.#.##..##..#..##..##.##..#..##.###..#...#.#.##..#.###......#.##.#..#.#...#.###...##..#.##.#...#.#..#.#.....#.##..#.#.#.##.##.##.###.##.#.#..#....#.###...######.#..##..#....#....#.#..##..#..##.....###.....#.##.###.##..#.#..######..#..###....###..##.#..##...##..##.###.####.#####.#...#####...####....#..##..###.##......##....#..##.#####.##.#####..#.#..#..#.##...#.#..##.#..#.......#....####.....#.##..#.##...#.#.#...##...#.....#...##..##..#.##.....#.##..###.....#.#..####.#.#.#...####......####.#.#.#.#...###.##..#.######.#.
#..##..#.#.#...#.###.#.##......###.#.......######.##......##.#####....###....#....####.#####..#.#..##.###.###.##..##.#..#.#.####.#...#.#...#...#.###.##..##.#.#.##......#..##.#.#..#..##.#.##.###.#..#.##...###..##...#.##.#...#......####..#.#......##..#####..#.##.##.#...##..#.##.#.#.#..#...............#.#.#.###.#......#.#..##.#.#.#.##..##.#####.....###...####..#.#.####.#.###....##.###..######..###.#.##.#.#.###...####..##..#.#.#.#.#.....#..#......#.#...#.#..####..#..##...#...#.#...###..#....###..##..#..#.##..####..#####..###.#.#..##...#..#..#.#.#.##....#.####.#.#..#.###....#.#..#..##.#.####.###.###.#####.#.###.##..####...#.#.####..#...#.####.#.####.....##.#.##..####.#.#...##..####...##..##.##....##.#...#.....#.#.###.#.#######..#..#.##.#####...#..###.##....#.#...#####.#####..#..#######..##....##.####.##.##..####..#...##..#.###.....########....#.....##..###.##....####....###..#..##...###..#####.#.#####........#.##...#...###....#####..###.#.###..#....#..#.#..#...#..###.##.......####.##....#...#.##..#.#...###.#.#.#..###..##..#.#.#####..##...#...#.####....####..###.#..##.##.......#..##......##..#.......####..#.#..##..#.#.##.#......##..#..#.#.######.#.#..#.#..#####.####...###.#.#..#.#.##..#.....####.#..###..#.#.#..##..#.#.....##...##.##.#....#.##..#....#.###.##....#.###..###.####.#..#.#...#.###....#.#.#....###..####.##.#.#####.#.##.#....#..#.#.######.#.#.##..###...###.#...#..##.#......##...#..########.#.#.#.#######....#..#.#.....#.##.#...###.#...#..###...#.#.###..##.##.####..#.##.##.#.##.#..#.##..#.#.#.##....#...##....#..#..##...#..#####...#..###..#####.....####.#..#..#.##....#..#....###..#.#..#..#.#.#.#.###.##.#####.#.#...##.#..#.....#..####.#...####.##.####.....#....####..####.#.#.......#..###.#.####.#..#..#####..####.#...#.#....#...##.##..#.#..#.###.#.#.###..###......#.#.#######...#.#......#.###.##.#..#...####.#..####.#..#.######..###.###...#.#######.#...#..###.#.#....#...#.###.#.####...##.#.#.......#####..#.##.##...###.######..#.#.#.###.#.#..##..##....##.##...####.####..#
##......#.#..####...###.#.#.#.##.##.....#.#...#..#.#...#.#.###..##..#.####..###..#....##.###.#####.#..#.#.##.#.......##...#..##.#...##.####.##.#...#.#..##########.#..#...##..##..#.#...#.#.###..#.##.#.##.###.#...###....###...##..#.#.###..####.##.###...##.#...##..#....#.##.##..#..#..##..##..###....#..#.#..##.#.##.#.###.#.#####...#..#...#.#...##...##..######.######..###..#.....##...###.####.##...###....##..#..###..##.###.##...#.....##.#..#.#.#...##..#...#.#.########..############.#..#..#..#.#.#.#.####.#...##.#..#.###.###.#.#.#...#...#..#.....#...#.#.#...####.#...#.##.#.#.#...#.####.#....#.##.##..#.####.#....#.#......#.#.##.##.##.#...###..##.##.##.#.##.#.#######..#..#...##.#.#.#..##.###.##.#.....#.####.##..#.##.#...##.###.#....###...####.....##.##.##....#........#.#..###........#.#.....#...##.##.###..##..##...#...##.####...#.#.#.###....##.#.####...#.#..##.###..###...##..#..#.##.#..##..#..##.##.#..####.######..#..#.#.###...###.#.##.#....#.#.#..#.#...####.##.#.###.#..###..##..#....#.#.#.#......##..####.###...##.#.#...####...#.##.##..###.##.#.#.#.##.#....##.######.#...##....#..#...#..######...#..#####..###.#...#.###..#.##...#....#.###..###.##.####.#.###.###..#.#.###.#.##..#####.#....#.##.##..#..####.###...#.##..#.#....###.#..####.###....###....#.###.##....###.##.##...#.#####.###.#.#####.##.#.#..##.#...#.....#.#.##....####....###.#..##..#.#...##..####...#.#######..#.##.#.##.##.##.#..#..###.#.##....#.##.........#.#######.###..#.#....##..#.#######.###.####....###.....##..###...#.#.##.###.#######...#.....#.####.#..###.####.##.#...#......##.#.#.#######..###.##.###.#.##.##.######.##.####.##.##...#.##.#...#...#.######.#.#####.#.##......#.#...#..######..######...###.#....#..##.#.......###...#...#.#.##..#..###...###......###....#.#..#...#.##..####.#...#..#.#....#..##.###....#..##...####.#......#..##...##.#.#..#..#..###.#...##.....####.###.#..#.##....#...#..#.##.#####.##..##..##.###.#.#.###..#.#.##...#...##.###.#..#.##.....##..#...##...#.#...####.#.....#....#...##..#.##.#...###.....
###.#.##..##....#........#......#.#.##...#.##.##....#.#..######.#.##..####..####....##..##..#..#.#..#....#####..#####.#...#########.#...#.###.##..###.#####.##.##.####....###..##.##.#.#..##..#..#..###....#####..#..##.##.##.####.#####..##..####.#.##..#.#.###.####.#####.#..###.####....#..###.##....#.####.#####.##....#..#.####...#.#.#..#..##.##.###....#.##.####.##.##...##..#.###.#.###..##.#####.#...#..####.###.#..###.#..##.#...###.#.##.##.#..####.###...###.....#...#.#...##....##.########..##..#...###...##.#.#.#.##.#...##....#...##...###...##..#.####..##.##.####..#..######..........##.#....###.#...###..#.#.#.#....##...####..##.######....#..##..###.#...##..#...##.###.#.#..###.#.##..####.#...####.#..#..#.###.#.##..#.#.#.##..#.###.#.##.#...#.###.##..##..###..###.##..#.#.#.###..#####...#.....###.####.#..#.##.#.#..###.#.#..#####...#.##.#.#..##.##...#####.##...########..#..###.#..#.###.#........#..###..#..##.....#.#...#..##..#.#.....#.....#.####...#.....###.##......#.....#...######.#.#.#.#.#...#.###...#....#.####.##.#..#.....#.#..##.......#.......##..##..#.#..#.##..#.....###...#...............##..#.#.#.#.##..#..##..#.#..#...#.###..#.#.##....##.##...#...##........####..##...###..##.#.#.#...####.#########.#....####..#.#.#..#####.##.###..##.##...#.#####.#.########...###.###..#.#.#...#...##.#.#....#.#.##.###....#.###.###.#.#..#....#.####.#.##.##.....#...##.###.#....#..#.####..#.##...#.###..#.#...#...##.#.##.###.#.#...##...########..##.#.####.###...#..#.##....####.#........##.###...#.#####.####..#.#..###.###.##.###.#.####..#...#....#.###....#...#.##.##..###...##.#.#..#.#.#...##.######...###.#.##...#.#########.###..#.####...#.#.#.##.##..#.#..##.###.##.##..#.####..#.#..#......#..#.#.#####..#.##.###..#####...##...#.######....####...######..####.#.#.##.##.##.#..####.##.#.#...#.##..###.#...##...###.####.#.#..####..#...#.#...###.#.#.#.###.##.....#.#.#.#.....##.#.#.#.########....###.###.#.##..##.##.##..#...#..#...####....#.#....#.##...#.....##..#..####...#.#.#.#..###.#.###.#.#.#.##..#..##
#..#.....#.##.#.#.##....######.##....#.#.#.#####..#####.......#.....#...#..#.#.#....#....#.#.......####...##...##..##.###.###..#..#.#.#...####.###.#...#.#####..#.#..#.#....##...##..#.##.#...##.#.##.....#####...####.#.#.##.####..####.###..####...##.....#..#.##..#.##..#.###..#..#.#..##..###.###.##.##.##.#.##....#.####.#.#.......#..##...#.#..#...###...#####.####..###.#...#.#...##.#....###.#.##....#.####.#...#.#.##..##.##..##.#....#.#...###.#.#.#.#..#.###.###.##..#.#...#..#.#.###....#..#####..##..#.##.##.###...##.##.#..#.......###.#......#..###..######.#..#.#..#..#.##.##.#.#.##.##.#.#.#.####.#####..#.#..#.##...##.#..##.#...#.##...####....##.#####.##.#.#....#.##....##.#.####...##...#..#.#####.#..##.#.####...#.#...#...##.#..##..#.#....##.##.#.#..#..#.###.##.#####.#..#..###..#.####.###.#..#.##...#.#..#...##.####.#..#.###.#.###.###.#...###.#...##..##.#.#####.#.###.##..#.##.##.#####.###..#..#.#.........##.......#.#..##.####.#.#..#...#.###.#.#..##.#............#..#......#.##....##....#.####..#..#..#.#..##....#.##.##.##.#..#...##...#.#..#..#####..####.#.#.####...###.####.####.#..###.#...#.#..##....######.#....#.#..##.###.#.#.#####.#####..#...##.#.####.###..#.#####....#....####...##..#.###...######..#.......#...#..####.##.#.##.#...####.#..###.#..#.#....###..#.##..###.....#..###.#####..##..##.#..#.###..####....#..#.###.#....###..#.#..##.####.##..#...##.#...#.######.##.#.##.###..#..#....######.#.######.#...##....###....#.#####.##....#..######..#....#.###.##.....#..###.##.##.####.####.###.#.###.###..##.#.#####...#.####.#.#####.......###...#.#####.###.#.#..#.#...#.####.##.#.##.#..###....##..#..#..#...#.#..###..#...#.#######..#.#..#.##.#######.##.##..#####.##.###.####.#..##.....###.#...###..#...#####.#......#.####..##..###...#......#.#..#.####.....####.#..#.##.#.##...##.##....##..##.#####.#..###.#..#.##.##.#..#.##.##.##..#..#..#.##...##..##.#.#.##.##..#.....##.#####.#..#.#.#....#.##.....######.....#...###....##.###...#.###..#.#...#.###..#.#..###.###.#......#..##.#.#..#....###...#.#.
......#..#.##.#.##..####....##..#.#.#..#..##.##.###..#.#.#.#.###....#..###..#.####.#....#..#..##..####.#..###.#..#..###.#.#..##..#..###..#.#.##.###.####..#.##.##..###.########..###.#.###...##.###.#.....##.####..#.......######.##..#.##.#........#.#..#....#..#####...###..#.#..#.....#...###.#.##..##..##...#..###..#.##..####..#.####.#.####.##.........#.#..###...#.#.###..#..########.####...#....#.#.###.#....###.#.#..#...##.....##..##.#.##....#.####..###......##...##..###.##.######..#.###.#...#......#.#.###.#.#.###.####.####..#.#......###.#.#####...#...##.#..########.....#..####..#.####.#.#....##.#.###.#..#.##.#.##.#......#####.#.####.##..######..#.###.###.######..#####.#.#..#..####...#..####.#.#.#.#....#.......##.....##..####.#.#..#.##..###..#.#.###...##..#####...#..#.##...#...##..#.###..##..#..##.##..##..#.#.##..###.#.###..#.#.##..#.#..#.#.####.###..####.##..##.#..#.#...#.......#.#..#..#.##........#..#....#.#....#.#.##...#..#####..####.###.#.#..###...#.##...#...###..#...##..##.#.###..##.#.##.##.####.###...#.....##..###.#..##.#.#.#.#....###...##...##.#.###........##.##.###.###..##..#####..#....#.###...###.#..######...#####.##.#.#.##.####.#######..#.#.####..#.#.#..#..##.###.##.##..###.##......#......#.#.#.#.#....##...##.....#....##.#..#.###.#.##..###.##.###...##..#....##...##.#......##........#.##.###.#.###..#.#.#..#..###....##.#.#.##...#...###..#.##..###.##.##..#.#######..#.###..#...##...#.####.###........##.###...#..#....#...#.##....#.####.#.#.#..#.#.#....##.##.######.##.###..#.#....#......#.#....####.#.##.###.....#.######....#..#...###.###..#.####.#.#.#######.........##.#..##.####..#..##..#....##...##.##.##.######......#.#.##..#...#.####...########...#.##.##..#####..#####..##.#####.#...##..#..#........#####.##.#.#.#####...#..####.##.#..#.#...##.##.#..##..###.#......#.####....#.#..#.#...##..#.#.##.###.##.###...##.....#.##....###...##.##.#..#...#.####.#.###.#..#......###.#.#...###.###..##.#.#..#.....#....#.#.#..#...#.#.#..#.#.###..#.#..##.####..##.##.#.####..#####.#...#.
.####.....##...###..##.##.#.####.#####...#.......##.###.##.##..#..#..##.###.##...##.#.#..#.#...##...###.###...#.###...#....###.##.#.#.#.##.#.#..#...##..#.#.###.##..##.#...##.#..###.###.#.###.#.#.#####..#.##.####..##.######..#..#..#..##.#.####..###.#..#.#.###.##.#.###.....#####...#####.#.#.#.#.###....#..##.#...##.......##..#.##...#...###.##...#.##...#..######.#....#..#.#...##.#.....#.#..#...#.#..#####...#.##.##..#.###.###.#######..####...##...###..###.#..#.#.##.#######.....####..###..#.##..##.#####.##.####..#.........#.##..####.###......#..##.#######....##..#.#.#.#.##..#.#...#.##..###.......#..#..####.#..#.##...###...##.###.#.###.....###.##.#.####...#...##..##.##..###..##.#.##.#.#####.#.#.##.###.###..#...#.#..##...##.###.###..##.#..##.##....#.####....##.#.....#.#...##....####..##.#.#.#.#####.#.###....#.###...#..#..###...#####.#.##.#.#####.#...##.##.###...##.#######...###.##....#.#...#.#.#..##..#.##.....###....##.#..#####..##.#.##....#..#...#..##..####...#.####.#.##.##.###..#.#.####..##.#...##..##..#.#.#...##....###.####.##.#.##.##..#.#....##..#.###..#.####....###.#..####.#..#.#..#...##.....###.#.##..#.#....#...##..#..###....##..####.#.###.###...#..####.##...#...#.##.###.#.##...###..##.#.#..#...###.###.##.#...#.#.##..#.#....#.#.##....#.###..#..###..#...##.#.#...#.###.#....#######.##.#.#..#.#.#..#.####.#.##.###.##..###.#..##...#..##.#..#..#..##...#.##..###....##..###...#...#..#....####.#######...#.###.######.#..#.##....#.#.#####.#...#.######...#.##.###..##.##.###.#..#.###.#####..###......#.#.#...##..#.#..#..#.#....#..#.#.#.##.##..#..##..#.##.###.#.##.#..##...#####.##...#.#.....###...#.##...##.##.#.####...#.####.#######.#.##.....#...###..##...#..#........#.####..###.....#..###..###.#..#...#.#..#.#.#....##.###..##..#.#######.####..#.....###....#.#.#....##...###.####...#...#.##.###.###.#.#..#.#.##.#...###.#.#####.##.#.#######..##.#.#..#.##..##.##..##.##..#.##..#.....#.####..#..#..######..#..##..###...###...#...#...#...#..#..##.#####..#..##...####..#...####.#..##..#.#.#...
##..#..##....##.###.#######...##..##..##.####.###.##..#####.#...#.#.#...###.####.#....#.....####.####.##.#..##.#.##.....#..##....#.##..#.#.#..###..#..##.#....#.##..##.##.#......#.##.##....####...#.#.#...#...#.#...#.#####.#..##.##.#..#..#...###.##.#######.#.#..#.##...#..##..########...#.#..#..##..####.#.#.#....#..#.#.####.##.###..##...###.###.#..#.###.#.#.#..#...#.##....#.##.###.#...###.###...#.#.#.##.##...###.#..##...#####..###..#.#.###...####..#.....##...#.#....###.##.######...#....####.#....#..##.#.##..##...#.###.##.#.#.........#...#..###...#...####...#.#...#..#..#.#####..##..##..#.#.###.###.#####.#....###.#...#.###...#.#...#..######.#...#...#..#..#######...#.#.#..#...#.....##.##.#.##...#.#.###...##.###...#.#.###.#.##..####.##..#.#.#..#.##.####..#.#..#.#..####.....#.#######...#...#......#.###.##.###.#.#####.#######.##..#.#....#..#..#...##..##.####.###.#..#..#.####.#..#.#.#.#.#.....#...##.#.#.....##...#.#.##....#.#..##..###.#.#.###..##..##..##.##.###..#####.#.###.##..#....#.#.#.#.###...#.##.##.#..#..#.#.####...##..#..#.#..##...#.####...#....###..#####.#.#..#.......###.#.#.#..#.#..#...###.##...#.#...#.#..##......#.#.#.##..#........####.##.#.##.....#.....###..##.#....##...#.....#.##.###.##.######.....####.#.##.#...#.##..###..#.#.#.#####..#.##..##.####.#..####.#.#..#####..##..#.##.#...##..#.#.##....#......#..##...#.#####.######........#...######.....#..#.####...####..##..##.#.######.###.#.###..##.#..###.##.##..#.###.#.#.#..##.#......#...###...#.###.##....#.#.#####.#######..###..#..####.##.###.#.####..#.#.##.#.....#.#..###.##..###.##....##.#.#..#......###.####.####....##.#.#####.#..#.#.#..#.#.#...#.#.#.#.####.#..##...##...############..#.##...##.#....##.##..###.....#..#...##..#..#.#..###.###.#..####..#..#..###..#.#......#...#.###.###....#..####..#.#....#..#.#.##..###..###.##.###.#.#..#.###..#####...#.#..####.##.####.#..###...##........###...#.#...##.....#.#.#...#.##.#####.#.##.#...#.###.#.##.####.#..#.##...###..#.#.....##..#.##.#....##.##.##.#.....#.##.#..#.##.###.#...
#...##.#.###.#.####.#..###...#########..#.##.#.###.#.#..##...##...#......#.#.....##.....#..##.#.#.##.##.#..#.#...#.##.#.##....##.#..##...####....#.###.....####...##..#.#..####.#.#.####.#.###..###...####..#...#.########.##...###.#.##.#..#.##.##...##.#....#####..#...#.##.##...#...###..##.###....#.##....##..###..........#.###..####.#.##....#.#.##.##.....##..#...##.####......##.#..###.#####...##..###.###..#..#..##.#####.....#.#..##...##..##......##..#.#.###...#..#....#...#......#...#####....##.###.##...###.#.#..###...##.####.##.###.#..#..#..###.#..###....#....##...####.............#..###..##.##..#.##.#.##.########...#.#.#..#...#.####..#..######...###.##..###...#..#..#..#####.##.#......##.###.....#.#.#.###...##..#..#.##.#..######.#....#.#.#.##########....####..##...#.#.#.#..##.#.###...##...#####...#.###.###...#####.###.#.#....#.....##..##....###.###..#...##.###...#.#.....#.#.###...#.####..#....##..###.....#...#.#..#.####...#.####.##.#####..####..#.#....#..###..##...#######.###.###.###.#..#####..#.###....#.#...#..#..#.###.#.#.#.#######.##.#..#..#.....##..#...#.###...#.#..###...#.#...#.......###..#..#.#....#..#####.#.##.#....#......#.#....#.##.#.####..#..#..#....#..#...#.##.#.......#..#..##..##.#...#...###...####.###..####...###....#..##...###..#.#..#....####.##.....##.#####..#..##..#..#..#...##..#.#..#.######...#..##.##.#.##.#.#####.#....#..#..#.###.##.#.#.#....#.##..#..#.#.#..##..###.###.#..#.....#.......###...##....##...#####.###..###....##..#..#.#...###...###...#.#.##..##..####.#.#....#....#.#.#.#.###.#.#..###.#...#..#...#.######.#......###.####.#.#..#....##....#....####..##...#.#..######.#.#...##.##.##...##.###..##.#.###.#..#.##..###..##.#.##.#.#.####..###.#..#.##....#...#.##...#..#...#..#..#.#..#.#..##.#.####.###.###.#.#.###...#.#.###...#....####.#...##.#..##.####.##.#.#######.....#####.#...#...#####....#.#............####....#.#.#......##.##.#......###..#.##.#.#.##.#...##.#..#....##.#.#..#.#.###.####.##.##.####.#.###...#.#..#.##.##.###...#.######.##.##.##.##..#.#.#.
##....#.#.#..#####.#.#..####..##.##...##..#.#.#.#..####.#.....######..#.##.###.##.#..##..#....##.....#..#.....########...#....#..#.#.##.....#.#.###..##....##..###.#.#####.####..#.##.#...#.#.###.##.#.#..#.....##.##..###.##.#.#..##..##...#..##......####..######..###...###.#.##..#.####..#.##.###....###..#.#.##..##..#...##..#..#...#..#.###...######.#.###..#.##..###.######.#..##.#.#.#.#.##...#.#.#...###.###.....#...###..##...####.....#####....#####..#.######...#.##.#..##........##.#.#..#..#.#.##.##.#...#.###...#....#....###.#####..#####.....#.#..######.###.##.##.........##...#.....#######.##.##......#..####.##.#.##...#..#.#..#.#.#.#...##..####..####.#.####..#..##.##.###..##..#.#..#....#.#..#.##...##....###..#...#...##.#.#.###....#.###.#.#.####.......#.####...#.#.#.#..#######..##.......#.....##.......##..######.######..####...#....#....##.#....#.##...#.####.####....####.####.#######.....#..##.###.##.#.##.#.#.#...#.#.#..#..###...#..#.....#.###....###...##...#.#.###......##.####.#####..#.#..###.###.#...##..####.#.#.##..##...#....###..###.#.##.....#.#..##.##..######.#..###..#...#.#..#.#.##..##.###...#...##..#.##..##.#..#.#.#............#######.#.#.##.###.#.##..##....##......##...###.#############.##.##....##...#.#..###.......##.#.##....#.#..#..#....#.##.####.#..####....#####.##....#....####.######.##..###...####.#..##....#.##..#.###...#.#...#..#..###.#...#....##......#.##.#..#...#..#........###..#..###..#.#.#.#.##....###...##.#..#..#####.#.#.#.###.....##.###########.##.#..##.#####.##..#####.#.#.......#.#...#...######.###....##..#...##.####.####..##.#..#.#.###..##.#######....#..##.##.......##....##.##.###...##....##.#.#.###....#.#..##......##.#....#..####..##.#.#..#..###.##.......#..##.##.###...#......#.#.....#####..#.##.#....#..#......##.....##..#...#.....##.###....#.#.####.#...##.#.....#..#...#..######..#..##.###...#...#..##.#....##.##.####.####.#.#..##.####..#.....#.....#..#.#...#..###...#...#.###..##.#.#.##.#.#..#.###...#...#.#.#.#..#..#.....####.....##.#.#.##.......#.###
..#.###..#.##.#.###..#.#..#...###...##..#...###.....####.#...##.######..##..###...##.#...#.##.####.#.####...#.######..##.##....###.#.###.#.##.####....#..#...######..###...###.##..#.#..#..####.##........##.#..##..#.#....##...##.######....#....###...##.#..#..####.#####..###..#...###.#..####.#.##.##..#.#...#####.##.####.#.##..#####.###.#.###.##..###...#.#.#..#.##.###........#.#.###...#####.#.##.#...###..#...##.....##.#.###.####.###...######.########.#####.#....#.#....#..###.....##.##...#######.###.##....###.##....##.#.#.#..#..######...####..##...#.#....##.#####.##.#.##.....#####..#...#...#####.###.#..#.##.#....#.#..##......#...##....#..#...#.#.##.###.######.#.#.#.###..#.######...#.#.#.#.#.##.##.###....#..#.#..##...#...##.##.#.#..#.#.#.#.####..#..###.#......##.###.#..###...#...#.##.#.#####..#...#.#.#.#.#.#...#.#...####.#.#.####.#..##.#..#..#.#.#....#.#.##...#.##.##.#.#####.#....####....#.........###..#####...#.##.#.##....#####...####.##.#...#.##..##..#..#...#.##.####.####...#.#...#...######..#..#..#.#...###.#######.#.#..######.#..#.##.#..#.#..#..######........#.###......#.#.###.##..#########.####..##..#.....#.#.#.....#......####.#.#########.....##.#.#.....#.#####....#.#..##.#.#...###.#####..###..#....##..#.#.##..#..##....#####..#...####.#.###.#.##....#....#..#.######..#.#..#.#..##########.#....#...##.....#.#.#.##.#.#..#.##.#..##.##...##.##.#....##.#...#...###..#..#.##..#.....###.###.###.##.#.#.##....###.##..###..#.#..##..##...###..##.###.....#.##.#.#.#.#....###.#.#....#..##.##..#.#.#.#.#####...#...#.#..##..#.#...####..#..####...##....####..##..#####..#######...#..####.#..#.#...#####....##.#####......#..#..#....#....##......##.....#.#....#....###..#####....###..####.###.##...#.##.....#..###.##...#....#.#....##.....#.#.#..#.###....##...####.#.#.####..#...#.##.###.#.##.#.#....#.##.##.#..#.##.########.#####....#...###..#.#..#.##..##..##...#.###########..#...#######.#.##...###..##.##.#.#....###.##.##.##..##.#.#..#.#..#.#######...##..###########...#........#.#..#..###.#.#.#.#
..##....##.#...#.#####...##.#.#.#.##.##..#..#.....###...#.#..#.###..#.#..##.#........#........#..#.#.###.#...##..#.####.#..##.#.##.#...#.#.######......##....#..##.###.###.##.#####.###..#.#.#..#.##...#..#######.#.#.#.#.##....#.##....#.#.##..#...##.##.#.##..#.#.###.....#...#..#.#...##.#.##.##.#..#######.####..#..##.##.###...##.##.#####.###.##....#.#......#..#.#.#....##...#..#.####..##.###..#.#..###..####..####...#....#.#...#...#.#.#.###...#..#.....###..##..#......#.#..#....##.#....###.#.##.#.#.#.###.#.##.#####...#.##.####...#.##..##..#..#.#..#....#.#.....##.##.#..#.###.#..#.....###..####...##...##.###.####..#...####....##...##....#...#.####.##.#.##.....#.....####.#####.#.######.##...#....##....#.##....#.#..#...#.##..######..##.##.....#.##..##...###.#.#.#.....#.#.##.#.##.#..#.##..#..##.#.......###.#.##...##.##.##.#..#.#..#...###..#....#..#.##....#####..#...###.####.###...###.#..##..#..#..##...###..#.#.#.####...###..#..###..##.##.###....##.###..##..##....##.#.##......######..##...######...##.#.....#.###.####.#...#..#.##.####.####.#####.##.###..###...#.###.#.####.#.###..#.#...###.#.#.#.#.#........#...###...#...##.###.###.....##...#..###.....###...##...#..#.##.####.#....#...#....#...#......######..#....##.#...###.##...##...#.#.##...##..#.##.##.###.###..##.#.....##.#.##....##.....#.##.#..#######...#....#.#...#.....#####.###...##..#.##.###.####...###.##.########..##....#..#..####.##..#..###...##...##.##...#.......##.#.####.#.###....#..###..#######..#.#....##......#..####..##...#.#..###....#####...#..#...##...#..#.#####.###.#.#..#...##..##.#...####.##.....######.#...#..#.##.#.#..#...##.#..##.###....####....##..#....####..##.#..#.#.#...#.###.....##.......#...#..##...##.#...##..#.###....####.#..##.##.##.###.....######...#..##..#...#.##..##....#.##...#.#.##..##.#....###.##..#.#..#.###....###.#.##..#.#.#..#######.#.....###.###.......#.....##.###.###..##....###.#.##..#..####..#....##.....##...#...###.#.#....#######.#.##.#......##.#.#...#.##.###.###....#.##.#..#.#..###.......#..#.
..###.##.#...###.#.....#..##.#.#####.......###.##..####..#.#..###.#.#.......##.###.#.#.#.#.##..#.##.#.#.#....##..#.###.##.##.#.###.....####..###...##.###...#####..#.#..##.#.####..#.####...#.#.###..##...#.#####.#####.##.....#.#....#.#.....##..#.##..#.###.....#.#..#.#..#.###..#.#.##..#..#.#.##.....##..###.####...###.#....#...###.##.#.#.......#.#..#.###.##.####...###.......###..##.#.###..#..#.##.#..##.##.#.#.#..#...####.###.####...#.#.##....##.##.###.##..######.#....#...#.##.##.###..#.###....##...#.......###..#.....#...####.#.##..#######..#.###........##.###.#.##..###......#..#..####.......#####.#..#.#.##.#...#...#....###..#.####.####.#.#.###.....#.##.#..####..###.#.#.#..#.#.#.....##....##...#..#####..###.###...#.##.##...##.#######.......###.#..#.#.##.....###.#.....##...#.....##..##....#.##.###.#....#.#...####.##..#.#.#..#.##..####.#.#.#.#.#.#.###.#..#....#.....###.##.##.###.####..#.###..##.#.##.#.#.##.##.##.####....#.#...####.#..#.#.##.....#.##....###......#.#.##.#.###.#.##...##.#...#..##..#.#.##..####.#..#...#.##.#.##.#.###.###..#....###...#.###.##..#.#####.#.....##.#..#.#.#.#.#...#..#.####.##.#..#.#########.######.#.........#.#####.#..####.#...##.#....###....####.#..###.#..#.###.#.#.#..###..##.##..#.#...#......####.#.##.#.#.#.####.....###..###.#...#..###.##.#.##.#.#######.##.#.#.#..#..#.##..##.#####..##.#..###..#.##..#.##..#.#.####.##...####..#.###...#.#..###.##....#..#..##..#.#..##....#.##...###...#...##...#.##.##....####...#...####..##.###..###..#####...#.##.#.#.######..#..####.....#.#...##..#.#....#..#.....##....##..##..#.##........##.##...###.###.........#.##...#.#...#.#.........##...#...#.#.##.#.##.#...#...#.#.#.#..##.#.....##.##..##..#.#.###..#.#####......###..##.##.#.#...#.#.#...###..#.#..#.#..#######.##..#.#....#........####.#...#.........#..###..#.##..#.#...#.##.##......#...#..#..####....##.#..##.#.###.###...#...##.###...###....#.#.#######.#.###..#.###...#.#.#...###.#.....###...#.#.#..##...###....#.##.#.##.#.#.#..##...###.#.#.#...#.#.##.#....#....#.#....#.#
...#.#####...#..###....#.#..#.##.#####.#.#..#....###.##.##.##..#.##.#...##.###.#..#...#.#....##.###..###.####....#..#.####.##..####....####.....#.####..#.##..#..#.....###.###..#.#.##.####...#.#.#....#..##..#........#.##..#.##.....#.##.#...####..#.#.#######..#.#...#.#.###...##.##.##.#....#........##..##...#####..#..#.#...#..####.###.....####..##.#...#......#.#....#.#.#.####.##...#....##..#..#...####.#....####..##...####....######..##...#.#.......###.#.##..##..#.#.#.#..###.#...#####..........#.....#.##.....#...#....##.#.#.##..##.###....##..###.#....#..#..###.#...####.#......#.##..#...#####.#...#.....#.#...#......#...#.#.#.####.#.###..#.#.##.....##.#.##.###.##.#..#.##..#.######....#.##.#.#..#.#.#..###.#...#....#....#.#..###.###..#..#####.#...#...#.....#..#......##.#..##..###...###.#.##..##.##.##.#.#.##.#.##..#####.##..#.#.##.#.#...###...#..####...#...##.#####..#.##..#....####...##..##.#...#.....###.##..#.##.#.....#.#........#.####.##.#.###..#..#.#.####.##.#.......#.####.##.#.#..#...#.#.###...#....#.#.####...#.#.....##..##.......##.###.##.#...#####.#.##...####......#..#....#..#..#.##..#.####..#.######..#..#.#####.....#..##.##.###....###.##.#.##.####.#.#.##.######.#####....#..##.#.......#.#....#.#..#..########.#####.#...#...##..#...#...#.##.......#.##.....##.####......##...##..###.#.####...###..####.###..####..#.#...###.#...#.###.#....######.#.#.##...####......###..#...#.#.##.......#..##.##..#.#..#.#..#.##.##.##....#...#...#.###...##.#.##.#..#..#...####.#...#..##..#.##......##.#.#.#...#.....###...###..##.####.#....###.##...#..#.....##.####.....##.#.#..#.#.......#..#.#.###.##########.#..#.#.##...##......###.###....#.##....#.#...##...##.#.##.#.##.#..##..###.##.####...###...#.#.##..#...#..#.##..####.....#..#####..#.#....#.#.#.###...##...#.##..#.##.#.#.##....###.##..#.###.###.##.#..##.....#..#..#...###.##.#..###.##.#.##..#.##..#..#.......#.###...#...#..#..###..#.##..#.#....###...#.###....#.#.#..#..#..#.####.#..##...###...######.#.....###.###.#.######....##.#.#.##.##..#.#####
#.##.###..#.####.#...#.####..#.###..#.##..#.#...##.#..#.##...###.##..##...#######..###..#.#.#...##...###.##.##..#.##.#.####..#.#####..####.###.#.#..#.##..#.###.##.#.#.##.##.##.#.......#....###.##...#..#.#..#..#..#..##.##.#.#.#.#.##.##..#..####.#.#.#...#.#..#.#.#..#....#.#.#######.#....#...##.#.##.#.#.#.#..###..#..#..#.##.##..##.#........#....#.#..#.###.####..#.#..##.##.#...####..#.###.##.#.#.#.#.#..#.#...#####.##.###.#.#..###.....#..###.#.###...##..#....#.###.#####..##.##....#.#...#..#.###.#...###.#...#....#...##...###...#..#.....#....###.#.####..##..#####.#.#.##.#.###...#.#####..###.#.....#.###..#..#####...##....#.#..##.#.##..#..#..###.#.####.##...##..###.#..#...##.#.#.##....##...#.....#.###.###..#..##.##....#..##..#..#.####...##..####...#..###.#.###.#####.####.###..#...##.##..####.#..##..###...###.#..#...##.#...##....#........#.###...#.#.#..#.#..#..###.######..#.......##...##.#####.#.....#.#.....##...##.#.#...#.#..##..##....#..##.#..#..#.######...####...##...#..###..#..#...###..###..#.######.#.##..#.##...##.#.#..##.##..#.####.##...###....##.###.##.#####.######.#.##..#.###.##.##....##..##......#.#...##..##..##....#.#....##.##...####.#.#..#..#.#.##.#.###.###..#...###.#.##..#..##.#..#.##.###.##.####.########..##...#..#.#..###....##.....#.###....###..###...##.###.#..#.##.#....#.....####.....###.#..#.....#..##.###.###...##.#...#.#..###...#..###..#..#..#....#.#.##.####.##.###..#.#.#####.#..#.###.###.###...#.##...#...#....#..###..###.#.#.#.....#####.....#.###.#.#....#.####.######.#.######...#####..###....####..###.......###.#.##...#..#.#..#..#.#.##.....#.###..####..######.#.....#..###.#.#.#..#.#.#..#..##.#.###...###.#...#.##......#.#.##.#.###..#####....##...#.#.......#.##......#....#..#.#...#...##...#.#...##....##.#.#.#..#...#####..####....#..#..##.#..##.#.###.##.##.##.#..#.#.###..####.##....#..##.##.##.#.##..#...#.#.#..#####.####.#.###....##.#.#.######...###.#...#...#.#.#.#.##..#.###.#.##..#.#.#..#####...#.#.#.....##.#####.##..##...##.###..#..#..#.####....#......###.#..
#.##...#####...#....##.##...#.#..#.#...#.###...#.###..###..#.....##..###.####.##..#..####.###.#.....####.#..#.#.#.#######.#.##...#....#.#..#.....#..#....#..###.......##....#..##.##.#..##.#...#.#.#..#.###.....#..#..###...#.###...#..#.....##..#.##..#..#..###....##..###..##..##.###.##.#.#..#.#..###...#.###...#......####.#..#..###.....#...#.###.#.###.##...#.#.#...#.####.##.#..####.#..#....##.##....####.##..#.#........###..##.##...##.###..##....##..#.##....##..#...####.####..###..##...#...####..###.##.##....##.######.#.###.#...#####....#..####...#.##..#..##..##.##.###.#.#.#...#.###.#.#..##..#..##..#..#..#.#.##.#.#....##..#..#..#..####.#.#####.#..##.###..#....#.#..#...#.##..####.#..#..#..###..#.#.#...#..##....#..#..#..##.....#######........#..#.##.##..###.##..###...#.###....#....####.#..#.#..##....#.....#.##.#...#..#.....#..###.....##...##...######.....###.#.##.#.#.##.#..#.....#...#.....#####...##.###...#.#.##..###....#.#.###.##.#.#....###.########.#.##..##.###..#.###...###.....##.##.#.#.##.####.#.##.#..###......#.#.##....#.##.##.##.######.###.###.#.###.######...####..##..###.#....#.##.......#.##.###......###.....#.##.####.##.#...##..#.#####..#..#.#.#...#.##.##.....#.#..##.##.###.###..#.#.##....#..#...#.###.######..#####..####..##.##.#.#...#..#.#..###.##.#####...#.##.#.#.#....#.#######.#..#...#.##.#.#######..###..##.##..##.##.#.##.....####....##.##.###.##.######.##.##.####.....###.########.#.#.###..##.#.#####.#...##..#.####.##..#.#...#.#..##.###...#.#..##.#..#.##.#..#.#...#....#...#.##.##..#.##......#.#.....####...#.#.#.##.##.####.#.##...##...#...#......#..##.#..##.#.###......#.##.#.#.#####....##..###.#..##...##...##.#..#...#.##.###.###.#...#....#.#.##.####..######......#...#.#.###.#...#.#.#.#.#.#.#.......#...##.####.####......#..#.###.#.#.##..###.##...###....#..#.###..####..#......#..#.#...####.#.#..#..#..##.......#.#.#..#.#.#.#.##.......####......#.#..#.#.##..#####...#...#.#..#..#..##.############..#..###...#.##..#.#.#...##.#..#.#.##.#.###...#......#..#...###..#..#.#..#
##..####...#.#.##...#.#.###.#.#........##...#.##..#.#####.#..##.#.####..#.##.#...###..#.####.....#.#..##..###.#.##...#....#...##..###.###...##.##.##..##...###.#.##.##.#...#.#.###....#......#..#...######.####.#.#..#.#####.##.##..##.####.#.###...###..#.#.#.#..##..#....#..##.#...#...#..###.#....###.###..##.#.##.....#.##.##.#####....##.##..#.#......#..#....##.##.#.####....####..#........##.....##..##..#..#......##..####.#.####..####....##..#.##..#...#....#.###...##.#.##.#......#.#.#.##.#.##.#.#.##...##.#..#.###...#..#.##.#.####.....###....#.##..##....#####.#.#.#...#######.####.#..####..#######...#.##..##....####...###.....####..##..#.#######..#...#.##.####.#..##.#.######...#...#..#..##.##.###.###.#....###...#....#.#..#...#.##.##########...########..####....##.....##..#.#..##.#.###...##.###......##.#.#.#....#.#......#.##.##.#.##.#.#....#.#.#.##..##.###.#..#..#...#..##.#...##.###...#..####..######..##.#...####.##.#....#......##.###.#####....##..#.#.#...#########..#...#.#####..#.#.#.###.#.#.....#..####...###.#..#...#...#..##.#.#.....#####.....###.....##...###...##...##.######..#.#..####.####.###..####..###.#.#.###.#......#.#....##..#..#..###..#.#...#...#.#######..##...#...#....#.#####.##.##.##..###.....###.#.#..#.##.#####.#.##....##.#.##.#.###.....#..###.#.##..###...###.#.####...#.#..##..#..##.#..#......#.#..#...##.##.#####...#.#.#.....###..##..##.#.##.#.....####..##.##....####.#..##..#..####.####.......#....#..#....#..#.#...##....##.#.###..#....#...###.#.#####.##...#...###.###.#...#..#####.##..#.#.####...#..#..####.....###.#..#...#.####.#.##...#.#.##.###.###..##......##..#....#.#.##.##...#...#..#########.###.#....#..####..##...#.#..#.####.#....#.#..#.#.###.#.##....#....#.#####..####.###.....#.#######.####..##.#..#.####...#...#...#.#.....#.#......##.#.#..##..#.###....####...######..#..#....###.##.#.##...###.....##.#####.....#....#####..####..###.##.###..#...#.###..#.##..###..##..##.#..#......#..##..###.##.#.......#.###..#...##.#..#.........######.##..##..#.#..#..#.##...#.#
##..##...#...#.........##.##..######..#.....##.#.#....##.###...#....###.##.#......#.#####.#####.###.##.##.###.####.##...###.#..#..#.##..#..##..#.#.#.#..#..#..##...#..#.#....##.#..##..#.#.#...#.#...###....#....#...#####...#....###..####..###.##.#.....#.....#..#.###.##.####...#......#.##..####..#...##...###.##..#.######.#.##.....##..###.#..#.#..######.#..##.#.#.######.#.#.#.###.#.#.###..#.#..##.#..##..####.#...##...#.###.....#...#.##.#.......##.#.###.#...##.##.#.#.#.#######.....##..##.#..##..###.###..#....###.##.#.###.#.#...#....#.##.#..#####.#.#.#.##....###....##.##.....#..#....#.##..##.#.#...#.##.##.##...#..##...#########.#.##.#...####.#..#..###..#.##.#.#..###...#.#..#.##....#.#.##...#...#..#.####.###.##.###..##.#.....#####..#..####..###...##.##.###....###.###.##...#...#..#...###...######.#...######......#.#...###..###.........#.....###.##..##.##..##.#...##.#.########..#.##.##...###.###.###.#..##..###....###..##..##...#....###.#.....##.#.##..##.##..###....#####....#..###.##.####.#.##......#.###.#.##.###...###..#..#.###.##..##..##.##..##.##.##...####..#......##......###.#.####.#...##..##..###.#.#.###.###.##.#..##..#.##..#.#####.##.##...##.####.#.##...##.####..#.###...#.#.##..####....##.#.#..#....##..##.##.....###..##...####...######..######...#####.#.###.#.#.#......#.....#....#..#######.#.#...####...##....#.###.##..###.##...##..#..#.#..##.##.##.####...##.#.#.##.##...###.#...#..##.#...#.#...###.#..#.#.#..#.....##.#.#.......#.#...##.###..#.######.##....#.#..#...#..####..#.#..###..#.#.#.##...##.##..#.#..##...###.####..######.#.#.##..#.#.#..###.#####.##..#.#.#...#.##.#..###..#..######.##..##.....##.......####....#.##..#.######....##....#.....##.....###.##..#.#.#.#...#.#.#.#.##.####...##......######...#####..##..###...#...#####...#..##.#..#####....#.#...##.####..#..#####....##.##.#.#.#...###..#..#..#.#.#.#.#.##.#..#.##.#..##..#...#.#..######.#.#.#.#.#.#.#..#.####.#....###..##.....#..#..###..#...#.##.#.###.#....#..#...###.#.#..#.##.#...#.......###.####.#.#..#..#...#......#
...####....##.###.##....#.######..##.#.#.#.#..#...###...#...###.#.##..#.####.##....#....#...#.#...##.#.#...###..#..#####.########.#..#..###...#.##..#.....###..#.##.###..#...####.#.##.##..#..##...##..#.....#####.#.###..#....###.#...####........#.#.###.#.##...####..###..##...##.##...###..##....#....##......#..#...##.##..###.#.#..##...####.#.#.###.####.##.####.#..#...#..#.#...#...##.#....#...........#....#...#.#.....##.#..#.#..#.#.##..###....#...##.#...######.###.#..##.#..##.#...#...#####..##.##.#.#....#..####.#......#....#.#.#####.#..##..#####...#.......##..#.#.####..###.#.#.######..##.####......#####..##..##.######.#...........#..####..###.###.##..##.###..####.#######.###..#.##......#..#..#...##.#..#..#...#..####.#..#.#.#....###...#....#....#......#.##.#.#.#.#..#.###.####.##.######.##.#.##....#.##.#######.#.#.....#.###.#.#.#..#...#.##.#..###.##.##.......###.#.###..#........#..#..####.##.#.#.....#...#....#####.##..###.###.##.###.##...#...#.#.#####....####.#...#....#.#.......###..#..#.#.#...##.#.####.....#...#.##..##..#......###..##.#.#..###..#..#.##..##..####...#..###.#######.###.##.#.##.#.#....#.#.##..###...#..#...#..#..#.####.#...#....#.##.##.#.....#...##..#..##.#..##....###....#..#...#.#.####.#.#####.##...#.##..##.###.#.#.##.....##..####..#####..#.##...#.##.#.##.#..#..#..####..#.....#...#..##.....#.#......#...#.....#.###..##..##..#.#.###.##..####...#...##.##.#.#.#.#####.##.##..#.#.###..###.###.#..##...###..#.#....##.....#.#..####..#...##.#..#.#..#...#.#...##.##..#..#.#..####.#......##.#.##..#..#.#.###.##...##.#.#.#..#.##.####.#.####.##...#..#.###..##.#.#..#.#.......#.##..###...##..##...##..#.###....#...###.###.###.##.#.#.####...##.##..#.##.#.#####...##..##....#.#...#.#....##...###......#.#.##.###......#..#.##..##.#.##...######.###...##.##.#.#....#..#.####..#####.#.#..##....##..##.#..#..#.###.#.###.#.###.#.###.....#.#..##.#...###..#...####......#.###...##..###..#...##.######.#####.#.##.##...###..##..#.####.##.###.#.##.#.#####..#.##.##.##.##...#####.#######.#.##.#...
#.#.#..##.#..####...#...##.#####.###.#..#..#.#...##.#.##.....#..####..#.......#....#.####...#.#..#####..##.#.##..#.#..#.#.####..#.##...##.####.#.##..#..#.#.####....##.#.####.....######.#..##.#..#.#.#####.#####.##.#####..##.....#..#...##.###....#....###......####.#.#..#.##.##.#.#..#.###...####...#.#...##..#..###....##....##..##....###.#..#.#...##.######.#.....###..#.#.###.###.#.#...#.####.###...#.#..#...#.#.##.##.#..###..#####.##..#....####.#..#####.##..#.#..#...###.###.##.####.#.#.#...#.###.####.###.##.##...###.##....##..#...#..#..##.###.####.#.#..####..#......#..##..#####..####..####.###.###..#...#.#.#.#.#....##.####.#######.#..#..##........##.........#..####..#.#..###......#....#.#..#####.#.#.##.##.#..##.....#...##.#.#..####.#....#.#...#..#.##.##.#....#########...#..###.##....#..##.#..####.#.##..###.##.#...######..#.##....####.#.#####.##...####.#..#..####..#.###..#...##..#.##..#...###.......#.#.....#.#.#.#....#.#.##.#.###.######..#....##.#.#######.....#..#.#####.##.####.#.####.##.##..###.#..##..#..#.####..######.##...###.#......#.#..##...##..###..#..###.###.#..#....#..###....##.##.#..#...#.#..##.#.##..#...####....#.#...######.###...##...#.#####.#..#..##.##.####.###.#...##.#.##..##.##.#..#.#.##.....###.###.##.##..#####..##...#######.#.####.#..##......####..#....#.#.....#.##.######.#.....#...###....#.###...####......#.###.##.#.####.####.##.#....#.#.##.#######.#.##.#.#.##..##..#.##...#.####.#.##....##.#.#..#.#..#...##.###.#.#...#.##..#####.#.##...#...#.#..#...#.##..#.......#.##.#......####.#..####..#.#...###..#..###...##...#..###......#......#######..#..####.####..#.##.#.##..#######.....#####..#.####...##.##..###.#.....####..#......###.##.##..#..##....#.####.##....#.#.##....####..####.#.#.#...#..#.##.........###.....##.##....##....#....###.#..#....#..#..##.####.............####.#.....#........#..##......#.#.#..##.##.##....#########..#.#.##.#...##..#......##.#..##...#...#...#....#.##..##.....###..##.##.####..#...##...#....##.#.#.#.#...##...##..##..##.##.##.##....#.#.#
.#.#.###.#.#...##.###.#.##...#...###.#####.#..#...........#...##.#.######....#...##.#.......#.###.#...#.#...##.###...##..##...#..###..#.......#.#......#.#.####......#.#...#..####.#.#####.##.##..###..#####.####...###.####.##.####...#...#...#...#####...##.....#.#......#.......###.##.#..#.#..#..#.#.#.##...##.#..#.#......#######.###..##.....######.##.##.#..##.##.###...#.......###...###..##...#....#..##.##.###..###...#...#.#.....#...##.#...#.##..#..###...#....#####..##...#.######.#.###...#.#.#.....###.##..#..#.#.#.....##.##...#.#.##.####.##...####.###..#.##..####....###.#....#..###...#......##.##....#...##.########.#####.#.###..##..##.#####.###.#....#.####..###.#####.#.....##..#..####.####..##.#.#.####...###..##......###.#.#.#.....#.#..#.###..##.....#.....##..####..#...#..#####.......#.####..#.#.#.##..##.#..##.####.#..#####.#.####.......###..#..#..##....###.###.##.##..###......#.#.#...##....####..#####.##...####....##.#...##.###.##..####...#...##.###..........##.#....####..#.....#..###.##.######..#...#...#.#####..#.##...#..##.##..#..#.###.#.#.#.######.##.#..####.....##.##.#.#...###..#....#.###..##.#..#..##.###....#..#.##.###........#.###..###...###.#####.#..#.##.#..###..#....###.####.####...#.#..#..#........#.##.###...###...##..#...###...#.....#..#.#.##.#.....#.##.#.##.##.#.###.#..#.##....#..##.#.###..#.###.#.......#.#.##..##.###...#.#.#.#..#..#.##.####.#.#.##...#.#.##.....#.##.#.##.#...###..#####..#..##.##.##...#.###.#.##..##......###....###.....##...#..###.#.#..###.#...#.####.#..#.#..#.###.#..##.#.#.#.###..#..###..#.#....#.#..#...###...#...#..#...##.#....##..#..#..##.#.##.#..##.#..##.....##...##.#.....##.###......######....#..##...#.#####......##..#.#..#.###..#..#...#.#.####.#...##...##...#.##.....##.#..###........#.#....#.#.#####.###...#..##.#.##...#..##.#...#.##..#.###.#..#...###..##.##.#####..###..##.####..##.##..###...#....##..##.#.##...#.#####....#.#..##.#..##.###.....###..#....#.####.##.#..#....##.....#.#..###....####..###...##..#..#.#..#.#...####.##..####.#..##.
.#....#.####.##.#.#.##.....#.##..#.#.###.##.#.#....#......######..#..#.##..######.#..##...###.##.##.###.###.#...###..#..##.....#...#.#.###....#.#####.#...###.#.##.#.##..#......###..#.#.#..###.####...#..##....##.##.###.#...##.#.###.##...##.#.#.##.#.#..#.##.#....#.##.#...#.#.....##.#...###.#.#.####...#.####.###.####.#.#..#.#.##.#...#..#..#.##...#.###.#...#######.#..#.#..#.#...##...##.##.#..##.###...#.#....##.#.###...##.......###.#..##..####.#.#..###.##..####.........###..#.####.#.#####.##.##..##..#..######....####.#...#...##...##..#....###.#..#.##.#....######..#.##.####.....##...####..####..#..#.#...#.......#..######..#.####.#.###.######...######.#...##..#.##...######.##..#..........###..##..###.###....#..#.#.#...#...#####..#..#####.#..#..#..#########.#.#.#..##.##...###.##.#..##...##.......######...#..###...#.##.#.###.##.#..#.##.#..####..###...##.#.#....#.#.#.##.###....#...###.##....#..#.###.##.#.#...##.##..#..#.##.##.##.#..####...###.###....##.#.######...##.....####..#.##.##.##.###..##..###.####..##...#....#.#.#.##...##..#.##.###.######......#.##..#.##.#.##.###.###.#.###.#..#.#..##.###..##...##.#####..##..#.######.#..##..#....#.###....#.##..#..##..#..#.#..#...##.#.#..#..#..#..##..####.##......##.###...#.###.#.#.###..#.#.##.#.#.#.#...#.##..#.#..#..#.#.#.#..##.##.#.#....##...######..#.#...#.##..#.....#...##..#.##.#...#.#..#...##..#.###..#.#..#..#.####.#.##.#.###....#..#.#.##..##.###.##.#####...##......##...##.#.#..##.##.##.#.###.#...###..#...#.#####.##.##.##..##.#.##.##.##...###...##.####..##...##.#.#.#.##..##....#......#..##..###.######...#.#.#.###.####.#.....###...######..##.#.#.##.#####..#.#########...#....#...##.##..###.#######.#.#....#..#.########.#...###.##..#..#######.....##....##.#.###...##...##..##..#.##....##...#..###.##.##.###.###.##.#..#######..#####.####.#.#####...#....##.#..##..###.#...##...####.#..#....#####.#.##..#.##..#.######.##..####.#...#..#.######.#.###.##.#..###.#...###.......####.#......###.####.###.....#######...#.#...#....#.#####.#.#.#.#..#.#..
##..##.#.#...##.#.##..#....####.#.#.#..###.#.#.##.##...#####.....#..#.###..#.....#.....##...###...#..#.#...######.#.#.##..####.###..#.#.#.###..##....##.#...###...#.###.#.#.###..##...###...#...##.######....###.........###.#..#.#.#.####.#.##.#.##.##......#.#...##..####.#.....#...#..#....##...##.#.###..######...#.#..###.##...#####.##.#.#..#.#...###.#.##.#....##.#..#.#.#.######.####..#.#....###.##.#.####.#...#..#...#.#.######.##...##...#...#..#......#.##.##...##..#.##.##.#..####..#...####.##.#.#.##..#.##....######.#..###.#....####.....###...###.##....##.#...#.###..#.......##...##..####...##..###....#...#.#..##.##..#..#.#..##.#..#...#...##..###.###......#..#....#..#..#.#.#.######..###...##.......##.#.####..##....#...###..#.#.....####...##.#####..##.#..##..####.##..#######..###.###.###.#...#.....#.#.###..#.#..###.##..##...#.#####.#########.#...#.#.#####..#..#####..#.###..#.##..#.#...#..#..#.#...#....#.##..#..#..#######.###.#...#..#.##....#.#....#####..##.####.##.##.#..###...##.#####.#....##.#..##.#.#..#..#.#.#.####...###.#..#..#...#..##.#.###..##.#....####..###..####..#####.#..#.######....#.####.#....#.#..###....#..##......#..###.##...##.#..#.#..#.##..#.#.#####.#..#..##..#.#.###.#....##.#.#..###.#..####...##.##.##..#.#.#.#..#..#....#...##...##.#....###..#...###.#..###...####.###...#..###..##..#..##.##.##.#..##..#.#######.#..#.#.#####.#####..###..#.#..##......#.#.....#....####.###....#.#.####.##.#.#...##....#.####.#......##.######......#.#.#.####.#...###.###.#.....########.##.#.###.#.##..#...#..##...#.....#.###..###.#..#.##.#..#.##...#..####.#..#..#.#.#.##....##..###.......#.....###...#..#.#..#.#.#..#....#..###..##.#...#....#..##.#.#....#......###....#.....#.##...#.#.#.##........##...#..#....#.#...#####...##....#.#...#.#######...##.#.#...##.#.#..##.##....###.#.#.##.#....#.##.#..##....##..#.#..#...##...##.#..#.#....#.###.##.##.#....##....###.##.##..#.....##..#.#..###...#####.#.#.##..###.##.###......##..#....#.#.#.##..#.#....######..#.#####.###..###.##....###..#...#.###..###
.#.##...#..#.#...#######.#.#..##...#...#..#.##.####.###...##.#####..#####.####.###.###.####...#..##..#..#.###...#####.#..#.#.#....#.....##..###..##.##.#..###...#....#..####.#.#.####...#..##...##.###..#..#.##.###...#.###.##..##..#..#.########...#.#...##.#..##.##..#.###.#...#.####..###.#####..#.######.#..#.#..##.##.#.#.#..##.###.#..#.##..####..####.....##.#####..#.###..####...##..##..####.##.......#..#.##.###..###.#.##.##......#.#.##........###..#......##.#.##..#.#######..##.#...###..####.##..#....#..##.##.##.#....########.#.####.####.#####..#.#####.#.###.#...#.#.#######.####..##.##..#..#..####...#####..####.#...#.##..#..#.#.####..##.####.#..#.#...#..###..#.##.#..##...#.##....##..#..##..###...##.###..#.#.#.####.#.#.#.#..##..##...###.........#.#....###...##....#.#.###.#.###....#..##.##....#.##..##.#..####.####.#.###.#.#.#.#####........#..#...##.######.#...###.##.#####..##.#.##.#...#.#..#.#.#.#......#..#....###..####..##..###.#......#..#.###...###..##...#...#..#.#.####.##.##.#..#####.#..##...#...###..##.##.##.##.#......#..#...##.#.#...###.#..#..#.##...#.#..##.######....#..##..#...#.##.#.#..##.#..#.##..#...##..#..#.....##.#####.....##.###..###.#######..##.####....#.#..#...#..#.#######..##.#..##....#....##.##..##.....###..##.#.##..##.#...#..######...#.....##..#.##.#....#..###.##..#.#..#..#.##..##.###.#...#..###.###.###.##.###.##..####...#.#.##.#...##.##..#.....#.##...###..#.##.#.##...#.###.#..###.#..#.##.###..#####.#..###.##...##....##.......###.##...#.###..#####.#.#..###.#.#.#...#.......######.#.....###...#...#..####..###.####.#.......####.#....#.#.##.##.#####.#.######.#..#....##...#.####.#.#.....###.##.#.##.#..######.#..#....#.###.##...#.##......#####.#.....#.#.#.#..#..#...###..##..##..##..#.##.###...##..##.##.##..#....#....#.....#..##.#.#..##.###....##.#####.##.#.####.....#..#.#..#..###.#.....#...#.##...###..#######.##...###..#.###.#.#..##......###.###.#...##.#..........#...#..##...##.#.###.#..###.####....##........##..#.#..##.###.######.##..#.#.####.#..##..#...#.#...#
#.....#..##.##..#.#.#..###.###.#####..#..#..#.#####....###.#...##..#.#...####....####.....##...###...##..#.##.#...#....#.###..##.##.#.###.#.#..##....#.#.#..#.###...#..###.#####..#...##.##.####.###.#.##..######.##.###...#..#.#.#.....##.....#.#..####.##..#.#..#.#.####.####..#.#.....##..#.##...######...#.####.#.#.#..#...####..#.....#........##.##.#..#.##..##..##..#.##..#.#.##..#...###.###..###..#..#.####...#..#..#.####.#####...###..##.#.#...####....#..#....#.##..#...##.#..######.#..##..####..#####.#.###.#...#..##....#.##..#.#.##..#..#..#..#...#..#.#..#..#.####..#.#...#..#.....###..##...#...#.##.##..#.#.#.#..#.#.#.###....#.#.#.##.########.#####...#######.##...##.##...#.#....##.##..#.#.#..#..#####.#.#.#.#...#....##.#.#..###.....##.#.#.#.#.##..#.#....#.#..###....##.....#.##.#.##..#####.....#...######..##..####.#####.#.##....##.#.####.#####.....#....###...#.###..#....####.##.#.#.#.#.#..##.####.#.##..###.#.#.####.####....#....#..##.#.#..#.#.##.......#..#.#..#.##.#..#####.#..###..#...#..##.#.....##..###.#..##.#..####....##...#...##.###..#..#.....###.#.#....#...#.#.##..##.##.##.###.##...##...#####.##.....#.##.#...####..#.##.#...#.#####...#####...####.##.#....###..###....###.###..#.#...#.##...#..###.######..####.......###..######..####.######.##.####...##..#.#.#.##.##.##.#.###....###.#....#.######.#.#....##.....###.##.###..#...#..#..#.#..##..##.....##.#####.#..###...##....#.###.#####...#####..###..#.#.###..##...#.####.###..####.##.###...###.##.#.##...######...#...#####.####....###..#.........##.##.####.#.###.#.#.##..###.#########....##..#....##...#.#.#####..##..#.#####..#.#...##......##.####.....#....####.......#.#..####..#####....##.##.###.#..#####..##..#..##.##.###.#....##.######...#.#.##....#..#.###..#....##.#.##.#####..##.#..####......##..##..##..##.#..###..#.##.#..#.##.##.#..#.#.#.###.##.##..##.#.#.###....###...###..###.##....#.#.##.#.#....##...##......#.###..#..#...#.#...###.#.##..########..######.#..##.#..####..#.###..#..#.#.#......#..##.#.#...###..#...####.#.######...#
#..##.#.##.#.#.#.##.##.#.#..#..#####..#..#.####..#.#####..##..#.###...#######..#.###.#.##.#....#...#.##.#######.#.#...#...###..#####...##.###..##.#.....#....#....#..###.#....#.###..###..##..#####.#.##...#.....##..##.#..#....#..#.#..#..#...##.....##.#.#.....####.##...#...##...#..#.##..#.#....#.#.##...###.##..#....#...####.##...#.#.##.##..#.##..#...#####.#.##.#...#...#####.#........#.###.#......#..#.###.##.##.#.#.#.#...#.###.##....#.######..#.##.#.#.#.#.##.#.#.####.#...###.#.###.#....#...#...####.....#.####.##....##...###.##..#.#..#####...##..###.##.#..##..#.####.#######....#.#.#..##..##...#...##.#..##.#.####.###..#.#.####..#.###..#...#..#.#..#...##.#.#..##..#####.#.##.##..####...###.......#..#.##.###....#.#...##..##.#####..#..##..###..#.##...#..#........#.#....#..###..#..#####...........###.#.#.#...###...#.#...##.###.##.#..##.#...#..####.##.#....#..#.###.#.#.#....###...#.####.####.##..########..######..#..#.#####.#...#.####..#..#######.#.####....#....##.##.#..##..#.###.#.#.######.#.##..##..#...#....##.#..##..#.#...###..#.##.###.........##.#.#..##..##.####.#..#.#.#.....#.####....#.##...##...###..####....#..#.##..#.###.##....###.##.##.#...###..#...####..#####.#.#.#.##.###..#.#..###.....#.#..#..#....####.#..#.#...#.#.#..#..####.##.##.#..##.#####.#.#.##.#.#.#.#.#.##..#.#.#..#.#.##..#.##...#..####.#####.#.##.#.#.#..##.#.###..#....#.#.#####...#..##..##........#.#...##..#..#.#..##.#.#....#..#...##.....#.#..##.####.###..#.##.#..#.#.#.##.....#..#....#...#...#....#..##.###...#....########.##..##.....#..#..##.#.###.##..###..###.#..###.##..#..#.#......##...#.##..#.#.#..#..#...#.###.##...####.####.....#....###.....###.#...#.####.#...##....#.####.#.#.#..#.##.#..#.#.##.#.#.#.#..#.#.#.#...#......#...#.....##...##.##..########.....##.#..#.#..#...##.....#........####.##.##.........####...#.##..#...###.#...#.##.##..#...####.###.#..##.#.#.##..##.....#.##.##...#.##.#....####..#.###.#..####...#..##....#.######.#####.#..###.##.####..#...####.....#..#.#.####.############...###.##.#...#..#.#
.#.###..##.#...#.....##..##........####.#.#..#.#..#...#..########..#....#####....#...#.###.##......###...###..#######.####..#.#.#.#..#.#####....###.####....##.#...###.###.##.##..####..#.#....#...########......###.....#####.#.##.##.#..#..#.#...#........##.#....#.#.###.##.###.#..##..#####.##...#####.####.#..#...####.##.##########..#..#....#..#####.##.####....#.###.#####.....#.##...##.##..##....#.#.#.#.#.#.#.###..#.#..###.....#....#..##.....#...###..#.#...##.##...##.##..#....#..######..##...##..#....#.#.##.#.#......##.##..#.####....##..#.#.#.....###.#.#.#.....###.###.....#...#.###.#.##.#...##.##.#.#..###..#.#######.#....####.##...#.##.#.#.###.###.##.#.##.######.#.........##.#.###.##.##..#..#.##.##..#....####.##.....##.....##.#.#..##.##.#.....##.##....##.#.##....###..##.#...######..#..#.#..##.#...#.....####...#.#..#.####.#......#...#...##.##.#....#.####...#..##.#..#.##.#..#.#.###..###.####.##.#..##....##.#.#..#..####.##..#.#..###...#.###.##....#.##.#..###.#.#.#.#.......#.#..##.....##...####.....#####..####.##.####..#...####..#.#.##.##.####..###...#.##..#.#####.##.#.#.......##..##.#....####.##.##..#.#####.##.....####..###.#..##..#..######.#...#.....######.###.#....#.#....##.#...#...########..#.##.##.##...###.##....##.##.#.#####..#..#.#..#.#.###..#.#..####.#.#...##.....#..#..##.###.###.#...#..#####.#.#..#..#.##..#..#####..########..#.#....###.#...#.#.....##.##...#..#.##...####.#.#.....####...#..###.#.###....#..##....##.##.###.#.####.#.#..#.......#.##.####..###.###########...#..##.#.###...##..#..###.#.....###.#.#.#..####.##....####.#########.#....####.#####...##.##.###...###.####..##.#..#..#...#.#..#.###...###..#..#..##.#.#..#..#.#..#....#.######..##..##.##.########.######..#.#.#####.#.#...#.##.....##..#..###.###...#######..#...##.###.###.....####.##.##.#..##.##.##..##.#...###..##...##.#######..##..#.#.###.##...#.#.###..###..#.##.###.#.#.##.###.###..##.#.#...##.#..#..#.###.######......##..##..###.#..#.##.###...####...####..#.###..###..##..#..#.#.#.#.##.#...#.#.#..###....#.
##.....##.#.#####..##...#.#....#.###...##.#####..#.#....##.#...#####...#####...##.##.##......###.#...##.#...#.####...#..#...#.#....##.#...#.#..###.####..#...##.#.#.##...#...#######..###.#.#####....#.....###.##..#.#.....##.#.#....#.###..#...#.#..##..#.#.###..###.#..###..#.##.#...##.#..##.#....#....#.#.###..#.#..#..#####.###..#......#.#...#..#.#.####...#.#.##..#..##.#####.#########..#..#.#...##..##.##.#..#..#...###...##.##...####..###.##.##....##..#..#.......##...##.###.#.###.#######...#.##...#.#.##....#.#.#..##.#...##..##.#..##..###....##.#.#.#....#...#...###...##.####.###.#...####.#.###..#..#.###...#...#.#....#.###..#.#...###.####...#.#.#.#...#.#...#..#....#####.##..#.#..##.##.###..#.##..##.##.##.#..####...##.###..##..#.#.##..##.##....##.###..#.##.#####...#.#######....##.#.###.##.##.####......##...###.#.##.#...###...###.#..#..##..#.###.##.##.##.##...#.#.#.#.#...####.##.#.#.#..###.......#.##.####.#.#.#.....###.##.####.#..#.#..#..#....#.##..#..#.#...#....####.##..###.##..#.#.##.#..#..##.##.####.####.....#.####..#.......#.#..##.###..#.#..###...#..#..##.##.....##..#....#.##....###.##.##.#.#..#.##..#.#.#.#..##.#..###..###.#####...#.#.#.#####....###..#.#.##..########....#..#.#.##....#.#..#......#...###.####.#.#...##.####..##.#.#..####.##..#.#..##..##.#######.#.###.##.######....#..#..###.#.....##..#.#...##.#.....###..#..###..##.#....#.##.#...##..#...#...##.#..###...######.#.#.#.#.....######.......##.#..#.##.##.###..####.###.#.#####.#########.##..####.##.##..#.####..#.#...#...##.#...###...###..####....###.#.#..#######.##.#.##..#..##..##.###..###.##....#.#..#.......#.##...##.##.#...##...#.#.###.#####....####..#.#.###.#.##.##..#...#.#####...#......#.....#.#..##.#..###..#..#.###...#..#......#..#..###.#.#.##.###.####..#.....###..##..##...###..###.##...##..#...#.#...#######..##.#.##.#..#...#...#.##...#.#...#..#.##.#.###.##.###.##.##.###.#.....###...#..##..#.#...#.###.......#.#..##..#.##..#.....##..#....####..###.#..####...#.##.##..#.#......##.#.##.#...###.##.#.......#.####.#.#.#
##.#..#####.....#.....##.##...#.####..#.###.#.#.#.#####.#..#..#.###.#.##.#.##...##..###...#.####..#..#..####.##.##..#.#.#....##.#.##.###.###..#.#........###...#.#.#.###.......#.####.#.##.###.####...##..##...#.#..##.#..##.###..##..####.#.#...####.####.##.....#..###....#.##.......#....#.#..#.#..##..#..#...#..##..#######.#.#..########.###..###..###..#..#..###..#####.#####....##..#.#####....#.####.#..#...#.#.....##......#..####...#..#..###.#.##....##......#..#.##.#......#..#...#..###..##.##..####...##..#...##..#.####..#.#######.####.######...##...##...#.###....#...######....#.#.#...#.##.#.#...##.##..#.####...#...####..#..#####.##..##..#..#.###...##...####.###.#..#.....#..#.##..#.###.#...#...##..###....####..##..#..##.#.#.###...#...#.#.##.#.##..#..##.###.#.##.#...###..##..#####.#..#####..#.#..###...#...######..#.#.#..##.#.....#..####..####.###.##.####.....#...#.##.#..#.....#..####.#..##..##.#.#.####.###.#...#...#.....#.#.##.#..##..####...##.#........##.#..####.#...#..#.#####..###.#.###.#..#.##..#######.......#.######..####.####.#.#.##..#.#..#...##...#.##..#.#..........#.#...#..#....#.#...#..#######...###..#.####..#.###.###.#...#.....#.....###..#.....#.#......####...#.##...##....##.#..#.......#.#...#.##..###...#.###.#..#.#..##.#..###..####.#...#.#..#...##.##..#####.#.....#..#..#.#.#...#..###..#...##.#.######...#..#.###.#.#...#..###...#.##.##.####.#..#.##..####..#.######.#..#...#......##...##.#..........###..#...##...#.###.##...####..#....###..#.######.....####.#.##.####.##...###.#.###.##..###.#....#..#.###.#.###...#...#..#..###.##....##.###..#####.#..########.#.#.###..#....#.#####.#...###.##..#..####.....###.###.#.#####..#.#.#.##.#..##..#..###..##.####.....#...#..#.###.#..##.###.##...#....#.####...#....#.#.....#.#.##..##..#.##.####...####..###.#...#.#.###...#..##....###.##.##.....#...#...##.#...###.....#....#..###..#####..#####....##.#...##.#..#.#.#.##...###....###...##.##.#####...#..#######.#...#.###.##.####.##..#.####..#.#.####.##..####.#.###...#..####..#.#..#.##.#..#..
.#.###..#.#.###.###.#.##..##.#########..###...#..#....#...#...###..#.#####....#.......#.##.###...##.#.###.###..###.###.#...#.#....#.##..#.##.#####..###.##.##.#.##.#..#.##.##.####..#.#..#.###...#..##...##.##....#.####.#...#...######.##..##..###..#..##.##.#.#..#....#...#####.##.#...#######.#....#.#.#...####.#####..#####..#.#..####.#.#####.######.##..#.....#...##.#..#.###.#...#.###..#.##.#..####.#####..#.#.#....##.....####..##..########.#.#.#.####..#.##..#######..#..####..#.#..#.#...###.#.##..#.#.####.##..#.##.##.###.######.#..#....#..####..##..#.###......###...#.##..##...#####..#..#.####.###..###.#.#...#.###.##...#..###.##..#.....##..####.#..#.#.####...#...#.#..###..###.....#.#..##.##.###..####.##.#..#.#.....#.##.#.###.#.#..##..#.....#.###.#.####.####....#.#.#..#..####.#..#......#.#####..#.########..#...#.#.....##.#..#.......#...##..#..####.#.#..#.###.##......###.#.##.#.####.#..###.###..#.#.##.##..##.##..#..####..##..###...#....##.##...#....###########.#.####.##.#.##..#...##.#..#...####.#..#.##..#.##......###.#..#..#.....#..#.....#..#.####..#.##.###.##....#.#...##..#####.#...#....####.....#..#.#.#######...##..#.....#.#...##.####...#..##...#...#...#.##..##...........##.####.#...#.###.#.....#.#.###...#.#.....##..#....###.....#.##..#.#.##..#.#.#####.#..#...##.###...##.#.....##...#..#..#..##.#.##...###..#....##...#.##.#..#.######.###.#.#.##...#.##..#.#.##.##.#.....#.......###.#...##.##.#.#..##########.###...##.#.#..#.#...#..#...###..........#.#####.#....#..####.###..###.#.#####.#.##.####.#.#...#.##.######.#.######...####.##..####..#...######.#...#.###..###.####.##.##.#.####.#....#.#..#.##...#..##..#...###....#...##..#..........###.##.#.#......####...#....#.####.###..#.#..#.##..###..#....#..#.####.##..#..####..#..##..###..##.....#.##.......#.#..#..#.####.####..#.#..#..#.#.#..###....#.##....###...##..##.#..#.#.#..#.#.#.##..#....##.#...#.....##.##.#.#.....#..#.#.##..#.###.#.#.#.#.#.#.#.#.##.#.#.###......##....##.##..####.....##..###..#.##.##.##.##......#...#.##.#...#.##...##
#.#.##....##..####.##..#.##....#....#.#.#..#.####.#.##.###...##.....#..#.###..##.#..##..#.###.##.#..#.#.#.####.##.#.##.###.....#.####...#####.###...#.#.#...##...#..#.#..##.#######.#.#.#...#.#.....###.##...####....#.##...###.########..#..#.###.#..#.#.#.#...#.....##....#.#.#.##.#.#.#.#..#.#....##..........#.####..#..#...###...##.###.#.####.#....##..#.#...#.......########.##.##.###..###...#..##...#...#.##...#...#.###.#..####.#..#.#..#..#...#.##..#......###...#...#...####..##.#.##.....#####.##..#.#..##..##.#.#####...##.....##.#.##.#....#.#........##.#..#.##.#.#..##....#.##..##....###.#..#.....#...##.##.#.#..#....#.#.#.####....###.##.#..###.#.#..##..#..#..#.##....#.........#..#...#...#...##..#..##.#.#....##..##..###...###.##.......###.###..#####.##..#######..#.###...###..##..#.###.#.#..#..##.#.###.#.#.##.#...####..#...#..#...##.##..##..#..##..##..##.#...##.####.#..#..###........##..#..#.#...#.#..#..##...#.#..##..#.######....####.##.#..#...#..##.##....##.#...#...#..#.#..##.##.#..#####..###..####.#..#...###..#####.###.##.#.###.#.###.#######.#.#.....##..######.#.##..##.#......##......####.####.#.####...#####.##.#........#.##.#.##...###.#.##..##..#######.#....#....###...#.#####.###..########.##.#..#.#...#.###.#.#.##.#.#..#####.##.#.##.##..########...#...####..#####.##......##.#.#..#.#..#.###....##..#.#.#.#####......###...#.#.#.#.#.###...######...###..#...###.####...#.##.#.##.##.#.#..#...##.#.####.#.####..#####....#...#..#.#.#..##.#..#..#########.##.#..##..##.....#...###.#.#..#.#.#...##.###..##.##.#...#..##...#..#.##..#...###.##..#.#...####...###.#.##.#####..##..###..#..#.#...#...#..##..#..#..##..###.##.#...#....##..##.#....#..#.#.#.#..#.#.###.##.#......####..#.#.####.##.......##...##.....####......##.#..####.#.#.#.#.#.##.......#.####.#..#.##.#.#.########..##...##.#...#.#.##..###.#.#.##.#....#...#.##....##.#.#.##.####.###....#..#.#..###..#.#.##.########..##.#.#######...#...##........#..#..##....###.####..##.#..####.#..##.#..#..###.##....#...#####.#.....#.#......##.###..#..##.
..#...###.###..##.###.#..##..#.#..#####...#.##.#.##...##..#..##.###...#......####.##.##.##..#.....#.#####....#.#..#...#.#.#####..#.##..#.###.###.#..##...#.....#.......#.##.##.....##..#######.##..##.....##.....###...#.##...##.#..###.#.#....#...##.#.#.....#.##.#..###.##.##..#####..#.#...#...##..#...#..##...##.#.######....##.....###.#######..####.##.####....##..##.#...###.###..#........##...#.....#..##...###..#..##....#..#.....#...#.####.##.###..##.#..#.##.###...#....#...#..###..#######.....#..###.#.#.....#.#....##.#.###.###.###..#.##.#..##.###.#..######.....##.....###.##....#.#.#..#...##.#.#...#####...#.#.#.###.#####.#...####.##.....#.#.##..#.#..######.###.######.##.#.#.#..#.####...#.##.#..###.##.###..###.#..#..##.#.#....#####.#.###.#.##..#..##.#.#...#...###.#.##.#.###..###.#.#.......###..##.....#...##.#..####..####..##.#####.##.....#..##...#...##.##.#..###..#...##.#...##.#..##.##.#..###..##..####.#..#.##...#.#####.####...##.#..####.#.#.##.##..#..###.##..####.#...##.#..######..###.###.#.#..####...#.#.##..#......###.##.....##.#..#.#...##...#..#..#.##..#..#.#....#..######...#.###..#...#...#..##..###.##...######..##...#.####....####.#.....##..#..###.##...####...#....#.#.#.##.###.#.###.#.##.##...##.###..#....#.###...#....###.#.##.###..##....#..###......######..#..#...##.#.####...#.#.##..#.##...#####.##..##..###.##.#####.#...#.#....##.##....#..#.#..#.#####.#.##...#...#..###.##....#.#...#.....#.#.#...###.#..##.##..######...#......##...##.#.##.#..#........####.....###.##..##.#..#####.###.########...#..#.....#..#.##.#...##.##.#..##.###..##.#.###.#.##..##.#.####......#..#....#.##..##.#.##..#.......##.####..#...#......#.####..#####....##....###.#.#..##..#...####.#.#.##..#.....#...###.##....#..#.#####...#....#...###..###.###.....#..##.....##.#..######.###.########.#.##.#..###.#.####.#####....#.#.###..#..##..###.###.#.###..##.###..#.....####..####..#.##.##.##.#####..#.#.##........#.#.#..#.#.##.#..##...#.#....#####.....#.###.###..#..#.##.##.####.#.#..#.#.#.#...#......#####...#.#.#
.#.####.#.#.##.#......##.##..#.#..##.########...######..####.###..####.#####..#..##.##...#..##.....#.#...#.###..###..#.###..#####..##..#.#....#.###.#.#.#..#.##.##..##..###..#..#...#.#.#..##..###.####...###.##.##..##.##.....###.##.#.#..#..##.##.#.###..#####.#..##...#...###..##.####..#.####.####..#..#.#.####.#...#..#....##...#.###..##..###.###...##.##...####.##.#..###..###.......###.######...#...####.##.###.###.#....#######..#.#...#.##.##..#..###..####.##.#####.###.###..#..#...##########.#.##.##.##..#.#....##.#.##.#.##...###...###.....#...#..#..##...#.#.####.##.##...#.#....#.#.#.#.##.#.#.....###.##..#.##.#....##..###...#.#.####..###.##..####.....##.##.#.###.....#.##.#..#####..#...##..#..###.#####.....#..#....###..#..#.#.#..#####.#.###..#..#..#..#.#...###.####.##.#.#..#.####.########.##..#.##..##.#..###...###...####.#.#..#......##......#..#.#.###..#.##.####.#....##.##..##....##..##..#...###..##.....####.###..##.#.##..#..####..#.#.###..##.#.#......#...#..#.##.#...###.#..##.#.#.###.#...###.##....#..#....#.##..##.......#..#.##.##..#####......#..####.#.#....#.#.#..#....###.##.#.#.###......#####...#...#..##.#.##..#####.####.##..###.##.#.#.#..#.#..#..#.#.#....##...#.##...#.#.###.##.#####.##.#.##..###...###....##.###.#...##.###.##....##..#..#..###...##...##.#..###.###......##...#####..#....####....##...#....####..#...##.###.#..##.##.##....#..#.#.####...##.#.##.##....####...#.##..######..##...##..####...#####.#...#..#..#.#.##.##.##..#.#.##.#.###...##.#.#..##.......#.#....###.#.#.#...#.##.####.#....#...#...#..#####...#.##.#..#.....#######.###.###.###..###..##.###.##...#.#..#.##...#.#.##..#.##.##.#...........####..#.###...#..######.####.###.....#.#####...#.#...#.####.#.#.....###....##.#..###.#.#..####.#.######.####..#..#.#.#.#########..#.#.##........##.#.#.##.###.#..#...####.#.###.##.#..#.#....#.####.#..#...#.###.###..#.####..#.##...#.#..#.##.#.#.#.#..#.###..##.#.##...###.#.##....#..#.#....##....#..#.#########.#.#...#.##.###...##.........#..######.#...#########...##.###.....#.#.
...###...##..#.##.###.#.#.#####.#...###....#...#.###..###.##..####...####...#..#.#.#.##.#####.###.#..##..###.#..#.#.#..#.####.##...##.##..#..#.##..#.####..##.#.##.#.#.###......#...#.######.#.####.#.#.###..#.####....####.###...###.....#.##..#.#.###.##.##..##....##..##.#.###.....##..#####...###.##..####..##..##...#.#..#...##.#.........#.#.#.####.#.....##.###..#..##.#..##.##..#.#.##.#..#.#.###.#.##..#...#...##...###.##...#....#..#...#..#.......###.#.#..#..#.###.#..##.##..###...#####...######.#...#..#.####..####..#..###..#...####....#.#####.###.#...###..###.###..#..###..#...#.#.####..#.#.#....#..#.#..###....###.##...###....#.#....#.#.#............#.#.#.#..#...##.#..##...###.#.#..#..###.######......#.#.#..####...#....##..#..##...#.##...#.#...#.#..#####..####....###..####...##..#...##.#.##.###..#..#...###.###..#.##.##...###........#....####.#.#.##..#####....########.##......#.#..#..#..#.#####..#....#.#########...#..###.#.#.####....#.#....###...###.#.#########....###.#.#.######..##.#..#.##.##..###...###.#..#..#.####..###...##.##.##...#.#..#....#####.###.#...##....##.##.###.###..##.###...###..##.#.#.###.#####..###.##.#..###..#..#..####.###..##.###..#....#.#.#.#..#..##..###...##..#.#..###..##..#....#.#..#...##.##.....#.....###.#....#.######..##.##.####....##.##.#....#..##.##.#..###.#.#.#.#.#..#####.#.#.#..#..##..#...#...#..###.....#.#.#..##.......#.##########.#.#..##..#..#####.##.#.###...#..#..##...####.####.##.#.###.#.##.#.....##.###...##.##.##...##..#.#..####...###########..#.#..###..###.##.....#.###...#...#...##.#..#.##.#.#...#.#..###..########......#.#.#.#....##..#..#..##.#.#.#..#.#..###..#####....#..##....#..#.#..##...#.#...#...###.##.###.#....####..#...###.#.###.#....#.#...#..####.##.#..###..#.#.#.#......#..#.##....##....#...#...###.....##.##..########.##.#.####..##.#.#.####..##.#..###.##....##...#.#.......####.##.#.####...####.#..####.####.#.###..###..#.###.##..#.......#..####.####.##.#...#.#.###..#..####.##.####.#...###.#.####.####.#.#.#.#...###...#.........#.##..#.#
.##..#..#.##..#.#.##.####.##....###..##...###...#......##.#.######......###.#...#...##.##..##....#.##.##.######.###.##.#...#.##.##.#####...####.#...######.#.##....###.###...#...#..###..#.##.....#...##..##...#..##..#.......###..#.#..........##..##.#.#.####.....##.#..##..#......##...#.....##..#.###..#.#...##.##.####.#.#.##.#.#..#...########..#..#..##.#.#.###....#.##..#.##..#..##.#.###...#..######........##.###..#.##..######..#..###.#.#..#..#.##...#####.#..#....#.#...###....#...#....####.....##.#.#.#...#.#.....###.#####..###.#####..###..##.......#...#.##..#..#..#.##.##.#####...#..###..##.#.#.###...#....#####.#.###.##..#..##.#####.#...#####.#.##.##..####..##.##.#.##.#....#.#..###.#.##.####..###.#.##....#...##.##..#......###.#..##..#..##.#.###.##..####.#......#....##.#......##.#.###..###.#######.#.#.#.###.##.##..###.##....#.###.#.#.#.##..#..#.##.#####.#..##..##.#######.#..##...#.##.####......#.#..###..##...#.#.#.##..#..#.##.####.##.####.##.##..###.########.#..#..#...###........#.####.##........#######.##.##...#...####.#..#..#...###.#.####...#..#....#.#..##.........#...#.....##..##..###.######.......##..#...#..###...###..#.#......#.#.#.###..#.###.#.#...##..#.###.##.###..#.#.##..#....#.####....##.#...####.#.###..##..#..##.#..#.####.#.##.#..#..####.#...#..##.....####.###..###.......#.#....#.###..####.###..#.#.###.#..#.###..###.#..#...##.....###...##..######..#...#.#.#.##.#.###.###.######.##...#...#...#..#.......#.#...###...###..#.#######.####......##...#...#..#.#..#......#..#.#....##...##..###....###.##.#.###..#.#.#..#####.....#.#.#..##...##......##..##.##........###...######...##......#...######....#..##.##.#..##....#..#.###.#.#.####..##..#...#..##..##.###.#..#.#.#.##....#.###..##....#######.####.###.###....#.##.#.#.#.###...#.#.#.#...###.##.##.##.#....###.....#.####......##..#.#.#.....##..#####.#....#.###..###........##.#.##.####..#####...##.####.#.#.##.##.#..##.##....###..##..####.#..#..#.##.##.#.###.###..#.#####.##.#.#..###.#..#..#####.####.#..##..####.#.#....#....#..#.#
#.##.##..###.##...##..#..##########.##.#.#.#.#....##.#..#.#.#..#.#..######...#.###..#.#.##.#.#.###....#.##..##..##.##....##.##.#..####..###..####.#.###...##...####.####..#######.#####.##...#.#.#.##....#..##.########.##.##.#..##...###..####.####.#.####..#...#.#.#..#.###.#..###....#.#...#.####.##..##.#...#.##.#...#.##.#...#..#..###...#...##..#..###....#...#..##.##...###.##....#..###.##.#####.###..#...#..###.##.###.#...##.##.##.#.#######.#.#.#.#..##.#..####.##.#...###.###.###.###.#...#.#.###..#.#####.###.##..##..#..#....#.##.#.##########....##.###.#..####..###.##.#.##.###########.........#.####....##..##....#..##...#.#.###.##.#.###.#####.#..#...#.###....###.#.##.#...##..#.#.#.#...#.#.##..###.##.##.#.#...##......##..#..#.####.###..#..#..##.##..###.##...##.#.######.####....##.#..##......#.###.###..#####..#.####..#.#..#....##..#..#.####...##.##..#.######.###.#..###..#.#####.######..#.##.#####.#.##.....#.###.###..####...#.##.##...##..###....##.###...#...#..#..##.#..#####..#.##.####.##.#.#####..#..#........#...###.#######.###..###..##..#.#..####..##.##...##.#..##.#########...#####.#######.#..#.#######.......#..##.#####...#.#.###.......#.####.....###....#.....#....##..##..#..##.##.#..#.#.##..#..##.....##..###.#......###.#..##.#...#.###.##.##.#....##...#....##...#..#.#...##.#......##.#....###..#.###...#.#.#...#....#.##...###.#.###..#.#.##...#.##..#.##..#####..###.#.#...#.#.#...##..#.#.#..##.#.#..#####...#.#....#...##..####...##.####.#..####......#.##.#...#.#.#..#.#.##.#######....#..##.#..#..##.#.#.....##.#.###.##.##.....#....#...##.##.#####...##..#..##...#...####.#....##.#.....#.#.##.#.##..###.#.##...#.##.#.##..#####.######.......#.###....##....#.#...###...##.##.#.#....##..#...##.####...###..###.#..###.######.#......####..#.###.##.......##.............##.#.##..#.#.#..#.###..#.......#.......##.##.##.....###...#.#.##.####..#####.#.###..##.#.#..###.##..#.###.##.#...###..#....#.##..#.##..#######.#.##.#.#..#.#####..#..###...###.#..#.....#.######......#.####...##..#..#...###.#..##.
#.#.#....##...#.#..###....#........#.###.....#########.###....#.##..#.####.##.#.#.#.####.##.###.##..##.##..#..#..##...####..##...##.##..#..#.#...###.#.##.##.##..#.#..##....#.##.#.#.####.#....#.#.##.####.#.###..####.###.#.###..#....##..##.#...######.###.#.#######.#.#...##..#.#####..#...##..#...#.###..#..#####.#.##..#.##.#.##.#..##..###..#.#.##.#.###.#.##.......#...###.#...#.###...#...#.###...##..##.######.#####...####..#..#.####..#.##.####..#..###..##....##...#.#.##..#..##..######.#.##...##.###.......#...#..##.##.####.....####.#..#...#.#.#.###..#.....#..##...#.#.#..##.#.#....#.#.#...##.#.###.#.#..#.###......#....#..##.#..##..#######..##..#.######.##..###.#..#...##....#...##...#...#....#...##.##....#.#.####.#.##..#.##.........#...#.###.##..#..##.#####.##.#..##..#.#####.#.#.####..###.#########...#.#.##.#...##.##.#.##.#..#.#.##...##.###.##..##.##..#......#..#...##.#.####..##..#..##..##.##..###.......#..#.###.#.....#...#####...#...####...##..#..###.##...###.#......###.#.####..#.#...#.###.##.###.....##.#...##.##.###...#.##..#########.###..#####..##.#....#......#.##.###..###.#.###.##.#.....###...#####.#....###..#...###..##.#.#..####.######....#.###..#.#......###.#...#.....#.#...##.#.#.#####.#..######.#.#.#..#.....##....###.##...##..#.#.#.###.##.....###.#....###.#...#.####.#.#..###..#.###...#..#####.#...#.###.##.####..###.#..##..#.#.#..##..#......###..#.#..#...#.#.#..#.#....#.##.#.....###....#....#..#.#.#..#..##.##.###..##.####..#..#.#.#...##..##.#..##.#.#...#....#.##.#...##..###..#.#.######.#.##...###.###.###.#.....#..######....##.#.#.######.###.###.####..###.#.##.#.#####..##...#####.....#..#....#..#.#....#.###.......####.###.###.#.##.######.#.#######..#..#####..#.########.#.#..#..#.#....#.#.##.####..##.#.........##.#..#..####.##.###.#..#..#.....#..#..#..#.#.......####...#.#.##.....#.#.####.####.###.###..##.#.#....#####...##..##.##..#..#..#.#.##...###.#..##.#.#.#########.......#.##.#...##..#..###..##.##.#.####...#.#...#.##.#..##.##.###...##..#.##..##.#.....#..#....###...##
..#....##.##....##..#.......###..##...#.##.#..#..#..##...##..##.##..#...#...##.###...##.##.#....####...#.##...##....####.##.#.#..#.###.#...#.####......#..#.#.###.#....#.##.#.###.#.##....###.####...#.#.#..######.#......#...#####.#.##...#..#.##.##...#.##.##.##..##.#####.#........#..##.####.....#.#....#######.#.##..###.#.#.####....#.#.##.....#....##.##.....#.#.#..#####.#..#..##.###.####.###..###..#...#.........#######....#.#..###.#.########.#.#.##..####.#.##...#.#...######.#.###.#####..####..#..#.##..##..#.##......####.#...#..####...##.#.#...#.#.#.....#.##...######.###......#.##..#..##..###.#......#....####...##..#.###.#.#.#####.##....#.##.##.#.#.#.#.##...#.##.####....#.##...######....##.#..#...#...###...#..#..###.####..##....#.##....##..#..#.......###..###.##.#.#....#...#.######....###.#....##.#..#.....#.#.#..###.##.#.###.##...###..###..#.#.#....###.##.#..###.##.####......##.#..##..###.....###.#.#.#..##.#.....##.####..###....###......#.#...###..###..###.#..##.....###.##.#.##.##.#..##..#..#.##.#.#.####.#.#.#####.##.##.#.###...##..#..#.#.....##.#####.##..#.#...##..##.......#...#.##.......#..#####.#.###.####.....##...####.####..#####..#.#..####...#..###........##...#...#.##.####.#.####......#########.######.#.#...##.###...#...##.#..##..##.....#####..########.###.##...##...####.#.####..#.##.#..##.##.###..#.#..##....##.#..###..######.#..###..#.###.###....##.##.#.#.#..####.##..#...#....#..##...#.###.#.##..###.#..#.#....#.##..#.....#.##.#..###..#..####..###..#####.#....##.#####.####.###..#..#...#.#####.#....#.##...#.#.#..#.######.#..#.#..##..##..##.....#.#####.###....#.#####..##.....#.#..###.#..####..##.#.##..#####.###.#.###...#.######....##....#.###.#..#.#.#......#####..#..##.###..#.#.#######..##.##.#....###.###.....###..#.......###.#.###...###..####.#..#..##.##..###.#.####.###.##.##..#.#.#.#..#...###.######..#..####...##.##..##..#....#....#..###..#.####...##..###.##....#.##..#....#.#####..##.##.#...##..##..##.#.##..........#.##..#.#.##.#.#......##.##.#..##.#.##..########.#
.#.#....###.#.####.##....##....##..##...#.#.#..###.#.#...##.###..####..###.#....#..###....##..##...#..####....#...#..##...#.#.##..#.#.##..###.####....#..#.##.##...#...###...#......###..#..###.#####.##....#.#...###.#.....#......#..###.##.###.###.######...#.#.##....#.######...##...#.#.#.###.#..#####.###.###.....#..##.#.##.##.#.#.#.#...#...##.####...#...##.#..###.#.#.#.#.#.##.###.###.#..#......######..##.......#....##.####.###...#.#..#.#......###.##.####..####.....#..######...#...#..#...##.#####..#.#..##.#.##.#.#########..#.....#.#..#.#........####...###...#....####.....#.####..#.##..###...##.#.#.#.#...##.#.####.#..#..#.##.#.#.#..#..#.##....#.#.....##.#####.#...##..####.#.##..#.#.#####.#......#.###..#.#.#.#.#.#.#..#..#..#..#..##.#####.....#.#....#...##..###..########..###.#..###..###.#.#.#..###...#####.##..#.#.##.#...##.####.######..#.####..#....#.#...###..#....#.####.##..###.#....#....##.###....#.....####..####.##.#.###...#.#...#.#######.#..###..#...#.########.#...#....##....##.###..#..#......#.#..####...###...#####..#.#.#.#.##......####...#.#..#####.##...##.....####.......##.##.##.##.#...#....####...#...#..#.##.#.#.#####.###..#.##.....#.##..##.#..###.#.###....#...#...#####.#.#....###.###.#..##.###..######.###..#....#..###.###.#.#######.#...###.#.#..#..#.####....##.#..#....#.#.#.#.....#.#..#...#..#..###.###.#.#.#.#...#....##.#.#.##.#.....##.#.....##.####.###..........#..#.###.#..###..##.#..###..####....#####...####..####.##.....#..####....#..####.#.##.##..#.#.#...####...#..####...#..####.#..#.##..##.#..#.###.######.#.#..###.##.##....#...##.#.###....##....##...#.#...#.#####....########....#..###..#.##....#.#######...##....#.#####..###..#.###.#######...#.....##..#.#.#...#..#..#.##..#.#.#.#..#...######.#.##....#.#....#...##.#####.#.##.#......#.##.##...####.#..#..#.#.....##.#.#####...##....#.####...##..#####.#...#..#..#.##.....#..#..#####...#.....#####.#..#####..#.####.#####..##...###..#......##.#..##.#...####.###.#...##..###.#.##.##...#.#.##..##.###.#....#..##.#.##.####.
.......##....##..######.##.#.#.##....#..##.##...#.##...##.#.#..##..#...#...#..#..###.#.###..##.###..###..#..##...###.##.#..##.###..#......#.###.#########.......####..#....####.#.#..###..#....##.#.#..#####.#..##.#.#.#####.##...#..##.##.#.#...#.#.####....##..#..##.#...#..###...#.....#..#..###.###..#.###..#..##..##.#.#.#.###...##.#.#.##########.#.#..#..###.#####..#..####..#.####..#...###.#...#.#...####.##...###..##.#..####.####.#...######..#..#.#####.#..#.#...#.....##.###..#....#.#..##.#.#.#.#.#.....##.#...###.##.......######.#.#####.#####...###.#..#.....####..##..#....##.#######..#..#...##.......##...##.#.########.#.##.##.#...####..#.##.###.##..#..###...#.....#..#...##..#.##.##..#.####...##...#.##.#.###.#.####.##..##...##..####........##.#..##.##...#.##.##..#####.#...#####....###.##..##.#...#...##..#..###.###.#..#....##..#.##.##..###....#....#..#..##......#...#.#..####.##.#.#.##...#..####.##..###.....###...#...##..##..#.##...#.....##.#..#.###.#..#..##....###..#....#...##....#....##......##..#####...#####...##.####..###.#...##.########...####.#..#..#.###....#..#..#....#....#.#.##..####.#..#.#.#...#.##.#.#.###..#.........#....#..#.###.###.#.##..#..#.#.#..##.#..#.#...###########...#.#.#..###.####.##.#..##.#.##...###.#...##.....#....#..#.#.#....##....###..##.#..#.#.....##.#####..#.######..#.#.#..#.##.....#..####...##.#..##.#..##...#.#.####..#.###..#.....####......##.######..#.##.##...##.#####....###..##...####.###..#.......###.#.#..#..###.#.##.##..##.##..#.###.#.#.#.#.####..###.##.##...##.##.#...#..#.##.#......###.#..##..##.####......##.#...####.##....#....##..###..####..###.##.#######.#.#.#.#...#.###.##.#.##.#.#.#.#.#.##......##.###..#.......##....#.#.....##..#.###....##.#.....#..###.##.#.###..##.#..##..####.#..#.#####..##.#.#....#.#.#....##..#..####..#.####.#.....#..#...#..###.##.#....##....###.##...#..######..#.#..#..#.####.######.###..#..#####..###.####.....#.#..##.##.###.##..#.##..##.##......#.###....###.##.#..###.###..##..#.#.###.#####..##.###.....######..######..#.
######.##.###...#.###.#....##...#....#....#.###.#.#..#..##.#####.###.....##...#.####...#....#####..##..###.#...#.#.#.#......#.#.#..###.....#.#..#.####.#...###.#.#....###.###..#.#....##...###.......#.###.###..#..#.#####..#..#....#.#.#..#.#....#...#.##.##.....#..##...#..#.###.##.#.#...#.#.###..##...##...#.#.#...#####.#..####....##..###.#.##..####.#..##..#.###......#.#...#.#..###..###.....#.........#.##..#.#..#.###..##.#...##....##..##..##.##..#####.......#....#..####......###.###.#.##..#..#.##...####.#..#.#.#..#.#####.#.#...#..##.....###.###..#....#.####..#..#.######.#####.#.#.#..#..######.###....###.#.###.###..#.#####.#.#.##.##..#.####.#.###..####...##.##.######...##..###.##.#..###.#.#.##..##......#.##....#....#.######.#.#...#.###.#..##......##.###.#...#...##..#..#..##.#####..#.##.#..#....#.###.#.....#.######.#..#...###..#..#.#..#...##.##...###.##.####.##..##.#..#....#.#..####.......##...####....#.#..#.#.##.#.##.###.#.#.#..##..#.###.####.#.##.#.#....#.#.#..##...#.##..####.###.#..####..#.#...#.#####.###.#.#..#####..##..#...#..#.##..#.#######..##..#.....#.##..##...###...####..#...#.###.######.###.#..#..###......###..#...###.#..#...##.##.##.......#...#..##.##.#.#####.##.##.##...#..#.##.##.....##...#.#...##.....#.##.###.########.#..####.###.##.##..##.###.####..##.##.##..#.....##.#..#..##..#.....##..#.##...#.#..#..#.##.#..#..####.###..#..##.#.#.##.#.#...###.##.##...#####.#####.###.#..#........#######.#.##....##.#.#.###.####..#.#.#####.#..##.#..##...##..#####..#.#.#.######..#..##.###..##.##.#.#..###...#.#...##..####...#####.###......#...#.###.##.#.###...###..#.#.#####...#..##..#####.#.#.#..#####.#.#....#.#.######..#...#.#....#####..#.#####..##..#.#.#.####.#..##...###....#.#.####...#.#.##..#...##.#..#.##.#.#.#...#..##.###..#..#..#...###.#.##.######.####...###.#.##.##...#.#.#.######....#..#..#.#.#.#..#.#.##.#...##.##.....#.#..###..###....##.#..#....#.#...###..#.##.##.#.###..#.#..###.##.##.##.#..##.##.#..#...#.####.#.#...###.####.#.####.#..##...#####..##.###.#..#...#..####...
..#..#.#...##.#..##.####....##.####.#####.###.##.##.####..##..##.#.##.##.#..##...#..#.#....#.#.......########.......###.###.###.##.#...#.#...###.#..##.##.....###.#..#..#####...##....##.####....#.##.####....#....##....#####.#..###.#.#....##.#.###.#######.#..#...#..........###..###.#####.##.##.....#..#..#.###.##..#####..###.#.#.....#.##....#.#...#.#..#.#.#..#.##.#####......#.##.#...#......#..##.......#####.#..#..#..##.####.##....##.#.#.#.#.##..#.###..#####.####.....#...####.#.#...#...#...#.####..#.##.#.##..#.##.##.####..#.#.....#.....#.....#.....###.##....#..##.......#....#.##....#.#.#.#..##.#..######.###.#.....#.##.##.#.#.##...#...#..###.#.....#.#..##.##..####.#.####.###.#.##.#.##...###.#..##..#..#..#....##..###.#.#.#......##.#...##.##....##....#..#.#.#.#..#...#.##..#.##....##..##...#.......###..####.#......###.#...####....#...#.#....##.#.#...#.#..#....#..#..###.#.#....#..#...#####...#.###.####.##.#.#..###..#.##..#.##....####.####.....#.#...###.#####.####...###..#####.#.#.##.#.#..#.##.#.####.......#..#...#.###.#.##.#.###..#.######.#.###...##..#.#....#.#...#.###.###.#####.#....#.....####..##.###..#.##.##.##.#...###...#.#.##..#.##.......##..#.###.#...###.#.####...##......#####.##..#.#####..#.#..####....#.......###..........#...#..#..#.#..#......#..#...#.#######.#####.#..###...######.###..#...###.#.###..#######...#..#..#######...#..#.##.####..##.......#..###.#..#.#.##..#.####.#.##.#.##....#.##.###.##..#.#.#.###....#####.#...######.##..####...###..#...#.#.#.#..###.#..#..###.##.#.##.....#########.#.#....####.##...#.#..#..####.#...###.####...#..##..#.#....#.#..##.#.##..##...##..#....#..####.###..##########....#####.#######...##..#.####..#..#..#.#..#.#..###..#.....#......#..#.....#..#.#.#.##..###.#.#..#..#...#.#.##.###.##..###.#...##.#...#...#..##.###..####.###.##.#....#.##.##..#..###....###.###...##....##...##.#.#.#.#.##..#.##.##..#...#.####....##.###.#..##..#.#.##.###..#...##.##.....##..#..############.###....#.#.#.#..##.#.##...#.#..###..####....###.###...###..#.#.#...#..
.......#.####.#.#...##.#...#.####.#..###..#....#...#..##....####...##..####..#.##.#.##.##.#.......#..#####.#.##...#....##.###.###..#.##..#...##.#......#..#.###...########.###..#..####..#.#.#..####.#..........#.#.###..##...##....#..###.##..###.####....#..####.##...#.##.##.##.#.##.##.##...#.#.##..###.....##.#.#.##...#####.#.###.#.##.##.#####....###.....#.....#.######.#..#..#.##.##.#.#.#.#....#.....#..#..##..##.##..##.##....#..#.###.#...#.#..#..#..#.##.#.##.###.###.#....######.##.#.####.....#.####....#.###..#.#..#..##....##.#...#.....####.##...#.####......##.#.#.#..#...##.##....#.#....##.#..#..#...###...#.####..#.######..#.#.#.#..####.#.#...#.###...#..#..#.#...#.##.###.#..#.#..#.........##.#.#.#.##..##.#####..#.#.#.#.#############..#..####.#..#..#.##.....#..##.#.#.#..##.#.##.###..#..#.#.#.##.#.##....##...###.##..#.##.####.#.##.....######.#.##...#..#..#...##..##..#....##.##.##....#####.####...##.#.###..###..#..##.#.###.#..##..#.####.##..#.#####.##..#.#..#.#...##.##.#.#.##.#....#.#.#....##.####...#.##.##.#....##..####.#.#.....#......#....###.##.....#.#.####....##.#.#..#.#.#####....#####....#.##.####.#####..#.#.#.#...#...####..#..#....#.####.#...###....##.##.##....##.#...###.#.##..###....##.#.###.....#####.#####.##..#.#.....###...###.#..###...#...##.#.#.#..##...#.#...#..#.#.....#.########..#..#..###.##.###.#.#...#.###.....#...##.##...####..#...##....##.##.##..#.#.##.#....#.####.....#####....##.#.#.###.......##..###.#.#...#..#....#.....#............##.....#....##...#.###.#.###.###....#.#..####.......#.#...##.##.#...#.....#######..#..#.#.##.#####.#.#.#..#.###...###..###..#...###.#..#.##..##.####.....#.###..#.#.#.#.#.#....####.#.###..#.##..###..#.......##...##..##.#....#.####.#.#######.#.###.#.####....##.##.....#..#....#.##.##.####.........#..##...####.#....#.####..#..##.##.###.#..#.##.###..####..##.#.###...##..#.#######.#..#.##.#..###....###....########.#....##.....##.##.#.##.####..#...#...##..#....###..#.#.##.####..##......######.####.###..##.##...#.#.#.###..#......##..###
##.....###..##..#.###..###..#.###.....##..#....##.###.#..##.####.#..###....##.##...#..###.#..#....##.##.###..#....###.#..#..#######..######.#..##.....#..#.#...#..#....##....#.###......#.##.#...##..####.###.##...#.#...######...##.##.#.###.#.....#..#.##.#...###..###...#....##.#....##..#....###.#####.........#.#.######...#.###.#.#.##..###........###..#.##...##..##..##.#.##..#.#..#.#...#....#.#...#.#..#.#.#...#..###..#...####..##...###.#..##.######..####.##..#...###...###.##.##.##..##..###.#...#....#.........#...##.#...#########.##..#..##.##.#.###...#....####...#.#.##.#.###.#......##..#.#..#.##.#...##....##..##.#.#.##.#.#.##.##.#....#.##......##.###.###.#.##.#.#.##..###.###.###.##.#..#..#.#.##.#.##..#..##..###.##...#######..#...##.#....#.#..#..##.......#.#....#..#..##...####.#..#..##...#..##..#...#.####..#.###...##.#...#........#.##.....#####...####....##...##.####..#.####.#..#.#..##.##.######.##..##.##...#..#..##..#.###.#.......##.###.......#.#.##.####.#.##..##...#.....#...#.#.#..##...#.....#....#.#......##....#..#..#..#.....#.######.##.#...##...####...###.#.###...#....#.#..#....#.#...##.##..#####...#.##.......##.#.##.##.#.##....#...#####.#.###.###.##.#.#..##.#.##.##.#.#..#...####....####.#..####.##...#.#.##..#####.##...##.#..##.#.##...#.##.#.#.....##..#####.####.##.#...###..##..#.##.####...#####....###..###...##..###..#.#.#...##....####......#.#.......#..#.##.##......#..##.#...##.#..##.#.#.#.###...###.#...#.#.......#.#.###..##........###..###...##..#####.#...#.#..#.#.#####...###...#...#..##..##.....##...#..##....#.#.##..#.#.#..#.##....#.#.#.#.......#.###...##.######..#..##.##..###.####.#.###...####.#.##...#....#.#.#.........#...#...##...#.#.##.##..####...#.#########.#..#####...####....#.#.##.#.....##.##.#.#...#.#......##.###...###.#.#...#...#.####...##...#############....##.##.#..#.#....#.#.#...#...#..#....#.#....#..#.##.#...###.#..#.#.##.##..#...####....###...##...#..#..#...#.#...#..##.#...#.#...##.#.##..##...###....######........#.##....#..#.##..##.##.####.#.#######
......###.#....#.#.##.####..#.##.....#.#..#...###..##.##......###...######.###.#..#.#.#.#..#.##...#...##.##.#######..#...#..###.#.#.#..#....#.#..##.####...#..#.##..##..#..#.###.....##.#..##.###...#..###.###..#.##.######.##..#.##.####.#.#..####...#...######..#...#...#.#.######.##.###.....#...##..###.###.#...##.#.##......##...#.##.#..#..##....#.#..#.#...#....##.#.##.####.#####..###.#####.....####..###.##.#.###.###.####.#####..####.#####.......##.#......#...###.#..#..##..#.###..#.####.#.###..###........#.####..###..#.##############..#..#..#.####....###.###.###.####..###.##.#.#..#...#.##.##...###.##.######..##.#..#.#.##...#...#.#....##...##...#.....#.#.#.##.#..#...#.###.#.#....#.#.#.###.##..##.....##...###.##.#.#..####..#.####....#####...##...##.##.##..#..####.##.####.###..#....#..###.#.##...#..#.#.##.#..##.###..#..#..#.##.#..#.#.##..#..##.#..#.###..####..#.#......###.#.#.....#.###.#..#......###.##.#####..##....#.###...#.#...#.#...#.#..###..#..##..#.##.#.##..#.........#.##.#.##.#.##......#.#...#.#.###....##...##.#.###..##..####...###....#.####.#.##....#.#..##....#.###..#.#..##..#.....####.##.####.#.##.#.#.#.#..##..#.####.##......#..##..#####.###....###..#.#....####.###.#.#.#.#....#.#..###....#...###..##...#.######.##.#......##.###.###.##.##......##.###.#.......####.##.#..#.###..#.##.#..######..##...####...#..#....#....##...##..#....#......####....##.#..###..##.##.#.##...###...#..#####.#....##....#...##..#.....#..#....#.#..###.###.##.##....##.#...#...####.#.#####...#...##..#..#.###...#.....#..#.#.####.#...##.#.#.##..######.#..##.#........########.##...#.###..#.#.##.##..#..#.#.#.....#..#....###.....###........#######..#...##.#.#.###.#..#..####.#...###....#..##.......###.####.##..#####.#.......#..##...##.###..##..##.##.......#.#....#.#.##.####...##..###.###...###..#########.##.##.##.##.##...##...#...#.#.###..#..#....#...#.###.#####..#.####.#.##..##.##....#..#....####.....#######.##.........#..#.....##.#.##...#.#.##......#..#.###.######.#.#...##.##..##...#.#.....#.#.#......
#.#.######.##.#.#...##..##.#...#.##.....###..##....#.......##.#.#.###.....##.#..###...#########..##...#...#...........#.#.#.#.....#..#.##....#...#.#...#..#...#.###..#..####.#.#..##...#.#.###.#.###.#..#...######....##...####..#..#..##.##.##..##.#.###.#.###..#.#...#####.#.##.##...#.###..####..##.#..######.#.##..###..###.#.#.#..#.#.#......#.#..####.##.#.#.##..#....####...##.###...#...##..##...##.#......#.#.#..####...##..#.#.##.###.....#.###.##....#...#.##..######....#.#..###..##...#..##....##.###....#.####..##..#.#.#.#.####.##....##......#.##.#..##..#..##...#..#.#.##########.......#..####..####...#.#.###......##.###..##.#####.#...#......###.###..#.#.#..#..##..#.##...#..#..##.####.##..##.####.##.#.###.#.###.#..#..#...#..#...#.#.#.#.####.###...#.####.##.#...#.###.#....##.##.#....###.###....###.....###.#.#.####..#.#.##..##.##.##..#..##.#..###.....###........##.#...###..##.....#.#.#.##..###.###..#...##.#...#.#..##..#.....####.#.#####.#......#..#.#..#...###....#....########.#.##.#.#..##.....#.#..###..##...###..#.########.###...#....#.##.#.....#.#....###...####...##.#...#.##......####.######...#..#....###.#.#.#.....#.#..####.#..#.#.#...##.##..###...##..####...##....#..#....##...##.#.#####.###.##..#.#####.#.#.#.#...##..#....#####.#.###.....##.#.###....#.##.##.#.....#.##.#...##...##...######.#.#..##.....##.#.....###..##.#.#...##.#...##..##..###...##..###..###.#..#.####...#...##.#.##.##...#.##..#.#...##...##...######.#.#..##...##.#..#..##.####...##.....#####.......##.#..###.#..#.#.##.#.##..###..#.##.#...###.###........##..##..#...####.#..####...#.#.###..#....##..#..##...##..#.....####....#.#..##...#.#....##.#.#.#...#.........##.##.#..#.#...#####..#....#..#.####.#.#..#..#.##..#.#####..##........###.....###...#..#...#####....##..#####...#..###..#.#.##....##.#.###...#####.###.######..#....#..###..##.#.##.......#.#.##.####..########.##..######.#..#.#..##.######.##..#.##...###.#.#.#......#.#.#.#..####.#.#...#.#..###.#..####..#.###..#.##...#..#####.####.#.###.#.#.##...#.#..##.###..#.
#..#.....#..##.#.#.....#....##.#.##.##.#.#.#..##...#.##..####.####.######....#.#...##..#..##.#.#.####.#....###.#####.####.#..#...##....#....#.#.##.##....#...##....#.......#..#...##...###...#.#..##.#.###.#...##.#..##....#..##.#.#.###.#...####.....##.###.##..#.###..##.###..##..##.#.#..####.###...##.#..#.###.#....####.#.#.#.......#..##.#..#.#...#....##.#..###.###..##.#..##..##...####.##..##..#.#.#....#..##...#.########.#.#....###.#....#.####.###.#....###.####......###....#...........##..#..#..##..##.#.#....#.###..#.#..#.##.....#..#....#.#...#.#####...##..###......#########.##..##..####..#....##...#.###..###..###.#####...#.##...#.#....#.###.##.##...#.###..##.###.####..##..###.##.##....#.#....##..#.####.#.##.##.###....##...#..##.#.##...#.#####...##..###.##.#.#..#....#....#.##..#####.#####.##....##...##....####.#.#..###.#.#...#.#.##.#..######.#....##.#.##.....#.#####...#...#....###.##.##..#.####..#..####.##.#.##.####.###.#.#.####.####.#..#....#...#........#####.#..#..##..####.#...##....###..#######.##.#...#..###.#.###.#..##.##.##..####.##.#.#.....###......#..#.#.###..#..##.#..######.#####...####..#...#.....#.##...##.#.##..##..##.#.##..###..##.##.#..##.......#.##..#.....##.#..###.##..#####......##.#.#..#.##.#.#..###.##.####..###...###.#..#..#..##.####..##..#....##..#...###....#..##.##.#..######.##...###.#.#.##.##.#...#.#.######..#.#.#.#..#####....#..#..##..##.#.##.#.##..##...##.##.#.#.#.#.##..#..#.#..#.#.#..#....###.#.#..##..#....#..##.......#.#.#.#####.....#.#.##..##..#..#..#..#...###.#..#...#...##..#.##..##.....##...#####..###...#.##.#..#....##.#.##.###......#.#.....##..#....#######.##.#..#...#.####...#...##..#.#...#.....#.###......#..####....###...#.##..####.#.###...######..##..#.#....#..#..##..#..#####.##..##....#.#.#....#.#...#.#.#.#.#...##.....##.##..#####.#####..#..###.##.#..#..##.###.##.#.####..#####.###.#..#.####.##.#..#...#.#.###.##..#..#..#.###.....##..###.#.###.#.##..#......#...#.#..##.#.##.###.#...#.##..##...######.##.#..#####..##..#.#..##..######.##...#...###
#########.##.###.#.#..#.##..###..#..#...####.#.#.###.#.....##.##....#.#.....#....#.....#.#..##.##..#..#####...###..#..#.#.#.##.#....#.#......#.########..###.#..####.##..###.#..#...#.#.####..######...#..#..#.#####.##..#.#.##..##....##.##.#....#..##.#.#..##.##..#.#.#.##..#.#.###..####.####..###.######..######.#..##.......#..#......#.####.######...##..###.##.##..#.....##.###...####..#...##..#...####.#..#.####..##..#...#.#..###.###..####.#.#...#...#####.#.##...#...##.#.####..##.#.##...####..###.#.##.#.#.###.#.######.##.##...##.####.......#.##.###.#..#.###..#.#..#..#.###.#######....#.#.###.####..#..#.##.#...##..#..#..###.#.#####..#.###.##.####.#####.##.#..#.....#.#..#.##..####....#.#.##..#...#.#..##.##..#.##.#####.####.##...##.#...#...##......####..#.####.####........##.##.....#..###.##.###...###....#.#.#.....#...##...#.#....###.####..###..##.###.#..###..#......####.#..#...#............###...###..#..###.#..#.#.#.######.#..#..##.#.#...#.#...###.####.##.##..##.....#...#.#..#.####.#######.###.#..####.#######.##....#.....##..#.#.###..#.###..#.#.##.#.###.##.##..##.#.##...#.##...#...#####...###..##..##....##..#.......##.#####.##.###...#..#.##.#.#.#.#.##.######.####...##..###...#.#..###..###..#.#.##.#.##..##..#....#####.....####..##..###.#...#...##....#...#########.....#####..#...#...#.#..##.###..#...###....#.####.#.#....#...###.##.#.#......#.#.##.##..###.........#.##.####.###.##.#...###.######.....####.###........###.#.#.#..#..##....#.##.##....#####.......######.#.#..#...#.#...##.##.####...#.#..#.##.#..#..##.........###.#.#.###.......#####..###.####...#.##.##..##..#..#..#.#...##...#.#..##.##...######..###..#..####..###..###.#...#.....#...##..#####..###..####..#..###.#...##..#.###......####.##.#.###.#####.#...##.###.##...#..#####.......#.#..#..###.#....#.##..#.#.###.##..##.###...#.#.#.##.####.##.#.##.....#..#..#..#...##...#.####.#.....##..##..######..#.#####.#.###.#...#....##.....#...#.#....##.##.#....#...###.####.##.#..###.###.####..#....#....##..#####.##..###.#.###.#....#..#.
.####.#.#.#.##...#####...##...#...#.#.#######.#......####.#..#.##.#.....#.##....###.....###.#...##..##...#..###.##.####..#..#..#.####.#......#..#..#.###...##.....#######.##...##.###..##.......#......#.###.#.####.#..........#.#.#.....#.#.##.#..#.###..#..####.###.#.#.#.##....#...##.####.#.#..###.#.##..#...#.#.#.####...#.#...#....#.####....##.###.#.......#.##.#..##..#######.###...###.....#..##.####.#.#.#..##.#.#.####....#.#....#..##...##.#..##....#.##.#..#.#.#...#.##.##...##.##.##.###.##.#....###.#...#.###.#.#.#....##.######.#.#......##.####.###.#.#..#..#..#.......#####.###....#.#.###..######..##.#.#####..#.#.#.#....#.#..#.#.##..#.#...#.....##.#..#.#..#####.#..###.#..#.#...##.....##..#.#.###.###.#....###..#......###..#.####..#.##..########..#.#....#...##.######...#...#...###..##..##.....####..#.###..##...###...#.#...#.###..##..#..####..###.#.###.#.#.....#.##..###..#...##.#.######.#.#.##..#.#...#..#..#.####.#...#.######...#.##....##..###...##.....#.#.......#..#.#.##.##....##.#####..#....##...#.#.....#.###.#.#.....#.#.#..#####....#.#.###.##.#.##.....##....#..#..##...#..###...###....##.####.###..#..#....#......##.##.....##.##.###.#.#.#.###.###.#.##.....#.#..####.###.#.#.......#.##.#...##.###.#..#...###..####..##...###..##.##.###.##...###.##..##.#.#.#.#######..#..#..#.####..##.#.....#..#..#.####...#..###.####..###.#..#.###.#..##...#....#.#...#.....###.#.#......#......########.#..#...######..###.#.####...##......###......##.#.###.#....#.#.#.##...#.##..####..#......#.##..###.#..#.#.#..##.###...#.##.#.#.#.#######.#.#..##.#.#..#.###..##.#.#.##....#..#.#....#.#..####.##.#..#.....#.##..###..##.#...####....#.##.#.######...##.####....##...#.#.##....#.#....#.#....#####.#.#..###..###.#..###..#.#..##.##.#.#..##.##.####..##...#.##..#.#..#.######...##...##..#..##...#..##.#.##.#..##..#.#####.#.##..###....##.#..#.#.#...#.##....#.#.....#.#...#.....#.###.###.##.##.#..#.###......####.#.###..#.#.#.##..##.##....#..#.###....#..#.#..###..##..##.#..####.##..#.#...##.##..#..#.#.####..##.##.####..
###..#.....#..#.#.######..##....##.##.##..#...##.#..##..#....##.......#####...#####.###.#.####.##.#.#..#..#.#.###..#.##.#..#..###.......###.#.#......#...##.###..##..####..##..#.#.#...####.###..##.#.###.#..###..#.###..#..#..###.#..###..#.##..#.#.#.#..........####.####....##...#.####.##.#..###..##...#.#.#...#.####.....#..#..##.#.#####..##.#..###.###..#.##.#####.#...###..##..#...##.#.#.##.#.##..#.##..####.....#########.....#.###.######.##..###.##..#..#..########...###.#...##..##...##...##.###....########.#.#..###..#....####....##...#.#.##.##...##...##...###.##..##.#.##.####.#...#####.#.#.##..#..#..#..#.##.###.#.##.##.#.#.#.###..#...###..#......#####.....##.#####...#.#.#...#.....#.##.###.#.#.#..####.##.####.#...#.#####.....#.#..##...#.#......#..#...#######..##.###.####.#..#.##..##..#####.....#..#.#..###.###..#.######.#####..#####..##.###.##.######..#..#.#####....#..###.##........##...#...########.......###.####.###.#....####...#......##......#.##.#.####..#.#.#.##...###..#.##...#.#..#.#..##..##.#.#.##.###.###.###..###..##.#.####.#####..###.#....###..###..#..###...###..####.#.....##.######.....#.......###.#####.#...##..#.##..#.#.##.#..#.#.#..###.....##.#....###...........#.##.#..##....#..#.##.#..#....#.....##.###.####.#......###....##..##.###.###.....##..##...#.#.#..##.##.#####.######..##....###.##.####...#.########...#.#..#.#.#####...###.####..#..###..##.######.#..#...####.#..###.#.###.#...###.###.#.#.#.##..#.##.#.#...#....##.##...#..#####..####...#########..#.#.###.###.###.##.#..#....#..##..####....#....#..#..#.#..##..##..####.....#.#...##...##.##.#.#..#.#..#..#..#.#.##...##.##.#.#...###..#.#.#######.##.#..##...###..#.#######.###..##...#...#.########....#...#..##..#..#...#.###...#.#.##..##.####.##.###.##.##...#..##......#...####...#.#.#..###.##.#.##..##...##.#..##...##...#.##.##....#.#.##..#......##.###.##.#.###.##....###.#.#######.#..###.#.#..#.#.....####..##..#..##.#####.##.####..#.###.#.#.....#.###.###..###....###.#...#.#...#..##....#..##.#......#.###.##.#...##.#.#..
...#...#...#.#....#....#....#.#.####..#..#.##...#..##...#....###.#.....#.##...#.####.##..####.##...##....#.#.####.#.#.....####.##...#...##.#..#.##.#####.#######....#..#..#.######.###.#####.#..#.#######.##.#.##.###..#.#..#.#...##.##..#...###.#...##.#.#.#..##..##.###.###..##...###.#...#..###.....#...######.#####..#.#.##.#.#.#..#.#..##.###.##..#...####.#.#...#####.#.##.###...#.#...####..##.###...#####.#.....##...#.#.#..#..##.#...##..#...#..#..#..#.#.#....###....#########...##.....##.#.#.#...###..#.#..##.####.#.......#.#####.#....#..##.##.#.#.#..##.#.###.#.##.#.#...##.#..#.##.#....##..#.####..#.#.###..#.#...##.##...##.###..####.##.....#.##..##.#..##.##....##...###.##.#..#....##.###.###.####...#....##.#.#..##.###..##..###...#.#.....#..#.####.....##.#..#...#####.##.#.##.#.#..##.#.#######....##.#.......#..#.....#.#..#.#......#.#.#......#...#.####.##..####..##..#...#..##.#.#.#..#...#####..#.##.#.##.#####.##..###..#.##..#.####..#....###.#....#..###..##...#.###...#..##.#.##.....###.#...#.#.##.##..#.#..##...#...#.###...###.###....#..#.###.###.##..####..#.##.#.#.##..####.#.####..####......#.###....#.###..#..##.###...#.#.#.....##....#.#.#...###.#.###...####......##...#....##.#.###.##...#.....###.#.#....#.#..##......#.####..###..##...#.#......###.###..#.#..#..#...##.##.#.##.####..##.###..#.##.#...####..#.#..#..#.#..#.###.##.#.##..##.#..##...#.###..#.#.##..#...####.#...#.####.#..#...#.#.##...#.#####.#####.##...##...#.#..###.#.#.#.#..###.#.#.##..####.#...##.########.#.#.....#.#######..###..#....##.##.#.######.##...#...#..#.#######..#.#.######...##..#..######..##.#...#..#.#..###.###.#.####.##..#..#.###..#####...#...##.......#.##...#....#..#.##.###.............##.#.#.##.#..#.####..#####.#.##..#..####.#.#...#...#.....#.###....##.#.....##.##.##...###.##....####.####.#.##...##...#####.#####...#...#...#..#.##.....#.#....##.##.##....###...#.####...####..#...#.###..#..#...###.....###.#.#########....#...##...#.##.#...##.###.###...#..#.#..####..#...#####.#....##..##.#..#......#.##....##...##
..#.##..#.#....#######.#.#####.#........##.##.##..#..##......#.#......#.#...#...#.##..#...##....#..#####.#..#..##...###.##.#...##.##.#.####...#.###...#.##..#....###.#####.....###..##.##.#.##...#..#.#.#...##.##..####.#.#...####.##.#.##....#.####..####....#.#.#.####..#.##..###.#....#...#....#.##..#..###...##.##.####....#.#.....#.#.###..##.....#...##...##.#....#####..#.#.###.#.#.##........##..##.....#.######..#..#.#....##.##........##.#.##.##..#.###.###.#.##..#.##.#.#..###.##.#...#..#..##.#...##..#.###.###.#..##.###....###..###..#####.##.#.###.##....#..#####.##....#.#..####.#...##..#.###.##.......########..###..###..###.##.#...##...##.##.#..####.##.#......#......#.####.###...#..#####.##.#.#.#.#..#.##.#.....#.#.##..#....#..#...##.#.......#####...#.#####..#.##..####.##.##.##.#.#..#..###...#..##...##.#.#...####..###..#.###...####..#####.#....##..##.#...###.#.#.##.##...###.######.##..#......#.##.#..##.##....###..#...#...#.#..##..###.#.####...#..###..#.....#.#.#....##.#..#.#.##...#...##.####.#.##.#....##...##..#....###...#.#.#.#.#..#..#........##.#..#.###...###..#.###.##.#####..#...##.##.##.#.#.#.....#.#.#.###.........##.#.....#.#.####.##.##.#.#..#..#..#.....##..####.##.#...#..##.#.##.#.##.#.###.##.#...#.....##.##....#######...#..##..#..######.##..###.##.#.#.#....####..###.##..#...##..#..#...#..#.####..##.....#.##.##...##.#.#...#...#..#..#.#.#..###..##..#.###.#...#.#####.##.##....####.#..#.#.##.#..#.#.#...##..####.#..#.#..#..#...######.#...##.#..######.##....#..#.##.......#.####....#.#.####.#...##.##..##....###..###..##.##.#..#..##....###.......#.##.#.#.#.###.#.##.....##..###....##..###...##...####.#.###.##.##.#...#....####..##.....#...##.##..##.##.....####..###.#.#....#.#.##.#.##...#..##.#.....#.###....#.##.###..#.#.###..#.#..#.#..#.#...##.#.##.##.#.#####....#.....##.#.#.#.....###..#.#..#.#.#.#.......#..#..#...####..#...#.##.#.#...###.#.##...#.#.##.#.#####.#.#....#.#..##.###.#....#.##..#..##.#####......#..##.#.....##.#.##....##..#...#...###..#...#####...#....###.#..#.#....
....#..###.###.##.##.##..###..##..##.#....#.#.##....#####.##.#..#....##..#..#...#..#...#.#..#..#.#..####.#..#.##...##.##......#.##..####..#...#.###..###.#.#..#..###.....#######..####..#.#.#.#...####...###..#......#.###.#.#...#...##..#####..#.#..####...#..#.#.##...##...#####..####.#...#.#......#############..#.#...#.#..#...######..#.#.##...#####.##.##.#.#...#.##.#.#.#.#####.#.##...###.##.#.##...##.###.#..#.##..##.#.##.##.#.#..####....##..#..#.##.....###..#.#.....##.###.###....###.#..#.#.##.#..#.###.##.#...##...#......#....##...#.####.#..###..##...#....#..##########........#.##.#.#...#..#..##..#..#..#..##.##..##.#####...##..#...#.#..#.##.#####..##.##..###..##...#..######.#..######..##.#.#####.##..#.####..##...#..#.#.##..##..#.##...#.####.#.#.##.####..#..##..#.#..##..#.##......#.#.#....##.###..##......#...#....#..##..##.#.#...##.##..###..####.#.##.#.##...#.#.###.###.#.##.#..##.#.#..#.###...####..##..#.#.##....#....##.##.##.##.#.#.###...##.##.#..#.#.#######..##.#.##..#.#....#...#...##.####.#.#.###.###.##....#.#....#.##....###.#.#.#..#..#...#..#..####....##.##.####....#.##.##.##.#.###.######...#.##...#####..##..####.###....#.##...###.#.#...##..####.######.#......#..#.####.#.#.....#..####.#..#..#.#.######..####.##.#.#...##...#....#..##..#....#.#.##...#.#..#.#...#.##.##.###..#.#..##....#.#.#.##.#.##.#.#..#.##.#.#.###..#..##...############..#...##..#####.#......##..#..#...#...##.##...##.##......#..###.#.###.##.###.##..#.###..###.###.#..###...#..##....##....#...#.#..#.##...#..#..#######.#...###.##..#.#.##.....#.#.#..##.###..#....####...#...#.##..#.##..#..#.#######.#####...####.##.#..###.##..#.#.#.##..##.#.###...#....#....#..###.####.#..#.#.#.###..###.###.##.###.##.###.#..#..#.#.....#########.#..##.#.#.###.###...#.####..####...##..#..#.##.#####...##...#.########.##..##..###.######.#...##..#....#.....#.#..##.#.##...#..#..#########.##.#.#..##....##.#..##.#.#..##..#..##...#..#.####..##....#...###...#.##..###.###..##.#.###.#...###..#..###.###.###.#.#.#####..#..##.#....#####.##...
#.#.....##...#.#.#.#####.###.#.....##...#.#..#..#....#.##.##.#...#..##.#..#.##..#.#..##.#.####.##.#.#..#..####.#..#..##..##...###..#.....#......##.#####.....########.#.......#..#..#...##.#...##...###..####.#.###.##....#...#.#######.#..###.##...##.#.##.##..##.#.#.##....##.###.##.##..#.#.....##..##....##..#......##...##..###..###.....#..#.....####.###.####.#.###.##.##.....#.###...#.####.#...##..#..#####..#.#..##.#..##.#.##.#.#....#####...#...#.#..##...#.#..#.#.#...#.#.###..#..#...#...#....#..###..#.##.#.#.#.###.#.#.###.#.#.##.#.........#..###...##..#####..##..##.##.#.#..#...###########.#.#.....#.##..#..#.#.#..##.##...##..#.......#.#.###.#####..##...#.##.....#.....##.#....#..###..#....#..##......###...........####.....#..#.###...##.#####.#.###...###.#....##....#.###.........#..#.##.#....###.#.#..##.#.##..#......##....#..#.##..#....#...#....##..#.#.##.###.#...###.#...#..#.##..##.....#.#..#......#.####....#.#..#.###....##.........##.##.#.##...###.####.#.##...#.###......#.##..#.....##.###.#...#..##....##.#.#..##.##...##....###..##.#......#.#.###.###..#.#.##..####.#.####.###.##.##.#.####.##..#..###.##..#.........#.##.##..###.#..#.#####..#.#.#.#.####....#..#...######.##.#..####..#..#..###.###.#####.##.....#####..#.####..#.....#.#.##.#.#.##...######.####.##..####.#.....##.###.#.###..###.###...#..##.......#....#.....#.#..###....##.....#...#...##.#.#..####.##.##.#.##......#...#.##..##.#.#.#.##...#....#..##.##.##.##..#.###.#.#.###...###.###.###.##........##..#..#.####..######.####..####..#..#..#..##.####...#####.##.....#..##.#.#....#..###..#.###.########..####..###.###..##.####.#..####...#.#....#.#.#..#.#......##.#.....#.#..#..####.###.#...##.###.#.##..#.##..##...#...#.#..#.###.###.#####.#.###..........###.#.#..##.##..##.#..#.#.##.#...#........##.###.....##.#...#.###.##.##....#####..####.#.#.##.##.#.##.#.#####.#.####.#..#...####.#...###.####...##.#.#....#..#.##..#.......##..####...#.#.#.......##..##.#.#..#..##.#.##...####.#.#.##...##.#...####....##.##.#.##...#.....#..###.#...##
#.####..###.##....##.#..#.##...#.####...#.#.#.#....##.##....###...##..##.##..##..##.#..####...########.#.#.###..#..######..##.##.#..#...##.#.######..###.....##.####.#.##.#....#.#....#####...#..##...####.#.##.###.####.####.#.#####..#......#.#.#..##..#..#..#....#.##..#.#...########.#..####.##..##.##.####.#.#....#..##...###.#######.#..#.####....#...#...#.#.#....#..#.####..#####..#.##.###.#.####.###.#.####..#.#.#.#....#..#####..#.#.####..####........#.#######.#.#.##....#.###..##..#.##.#.##.##.#..#..#...##.#......#...##....##.......##..##...##.#.#.#.##.##.......#.....#..#.##.####..#.#.#.##.#..#.##...##.#.#..###.#..#.#....##..........###....##.##...##...#.#..#.#..#####..#.##..#.###....#......##.#...#.#.#.##...#.#..##.....###.##.#..##.###..##.##....##.##......#..##.#....#.#...##..#..#####..##.#.##.#.#.##....##.#..#.#..#####.#.#..#.##...##...##.##.#.#.###...##...##.##.#.###.##.#.#.##########...###.....#.###.#..###########.##...###........####...##.###.#.###.....#.#.##..#...######.#...###.#####.#..#.#.##.#.#.#..##########.###.#.#.#.#######.#....#.....#..#####.##.#.#...#.....######.##....#####.#.##.....#.##.#....#.####.##..#.#....#.##.##.#.##.###..##...####..#.....##...####.####..#.##...####.#...#..#..#..#.#..###..##.####......#.#.######..####.###.#######.#####.#..####.###.#...#.#.####...#..##.#.#####.##.####...##.#...#..###.#####..###....#..#.#.#.#####.#...#..####.##.#..##..##.#.###...#.....###..###########......##...#..#...#.##.##...#....##.##.#...#..#.#..##...##.......#...#...####..#..##.#######.########.##.#..###....###...#..######..#.......#.#.#..#.#.##.##.#.....##..#.###.##......#.#.#.#.###..######.....#.....#.#..#####.....#.#..####.#.#..##.#..#.#####.......##..#.####...###....####..##.#..####.##.##.##...#.#......###.####.....######....#...###...#...####.###.#.######.#.###..#..#.#.#..###.#####..##.####......#####..####...#####..#.####..###...##...#......##..#.###..#....##...#.#####.....#...######..###..#.##...###.....#...###...####.####.####.##..#####.#.#.....#......#..
.#.####.###.###.###.##...#.#.##...#.##..#####.#.#..#..###...####.#.########.#####..#.....##.#...#.##.##....#..#....###..##..#..#.##...#..##..#.####.#.#..##..####..#..#####..#..##..##########.###.#.##...##........#.##...##...###...##......##...###...##..###.#####...#....#####.....#...##...#.#...##...##...#....##.#.##..####..#.#..#..##...#.........#...##...#.#..#.#.........####.###....###.##.##...#...########.##..#####....###.#.#...#..#.###.#.#..#.#.##.....###..#.##......###.##.#...##.....#...#####...##..#..##..#####.##.##..##...###..#...#...##.#....###.####.#.###..#.###.#..###..##.##.##.#....#...##......#.#.#.#..#.#.###...##..#...##.#.#...######.####.#.#.#...#.#.#.#..##.#...#.#..##..#.....#.##.##.##.###.###.#####.####..####.#..#.###...###...##.##.##..###..#...##..#.#.###..#...#.#.#.##....###.##...###..###.......#####..##.##..#..#.....###.#...#.#.###.#.#.#.#####.#.##########.##.#.###.#...#.#.###...##.##.###...##.############.#..#..####.##.#.#.###...#.#..#........#####.#..##.#####..#..###..##...##..#.##..###.#.#.###.#..#..###.###..#.#.#.#.######..###.#....##...###.#..#.##.###.##...#.##.##..##...#.##...#.###.##....#.#.###.##.###...###...#.#.##.#####....#...#..#.....#..#...#.#.##.##.###.#.#...#....#.###...#.#.####..##.##.#.##.#......#######.##....#..#....##...##.##...#...###...##.#.######...##.#..#.###.#.#..##..#..####.....#.##.....#......##.#.#.##..#...######.###..##.#..#.##.#.##.#####...#.#..##..##.######.####..#.###########.##..#..##.##.#.#...####.##.##...##.#...#######.#.###..##..#.##..###..###..#.##....########.....#...#.###.###.####.#.#..###..##.#.##.#.#.....#.#...#..##...#.###..#..##..#....#.#.#....#....##..#.#..#.#.#..####.#.#####.#.#.#....####....##...##...##.#..#.#########....#..#####.#.###..#.#.#..#.###.##.....##......###.######..##.#..#.#.###..#.##.#..#..#..#####...#.#......#..###..#.#####.##.##.#...##.#.#...###.####....#.##.#.#..###....###.####.#.#..#..##.#..#######.##.#.#.....#.#.#.####.#..######...#.#...#.#..###.#####.###.#.#..#.#.#...#####..##.#.###.###.#
...#.......##..#.....#..##.#.###.##..###..#.....#####...#..#.####.#.##.#.##...##...#.#.#..#..#.#...#.#.#.##.##.#..#.##.##...#....#.#..###.#...#.#.#.#####.....#..#..####.###.####..#.##.#.#.#.#...#..#..#..#..#.#.#...####..#..####....##.#.....#..##..#..####.##.#.#.#.#.####.###....#.#..##.##.####..#.#.#.#.#.#....##.##.######.##...#.#.#.#..#..###############.#..#..#....###.#...##.#.##..######..##..##.......##..######..#.####..##.##.##..##...##...#..###...###.###.#..#.#.#..###.##.##.#..#.....##..####..#.##.#..#####.##..##...#..#.#....#.##.....##.#.#.####.##....#.##.##.#.###.##.#.##...###..#...##...##.#..#..###.##..#..#####.#...##.##.#####.#####.###...#...##.###...##..#..#..#...#.###.##...#..#.#.#.####...#.#..#.#.##.#..#.##...#.#.#...##..##..##.#.##..##.#.##.#######.#....#.#.#..###..##.......###.....#.#.....#.#####.....###.###.##..####.#.##..##.###.....###..#.###.##.#..#...#.#.##.#..#.###.#.#.#.##..####..##.##.###.#####.#..###.....###...###.#####.......###..##.###.##.#..###.#.#..#..##..######.#..#.#####..####.##..###.###.#..###..##..#..#..###.#..#.#.#.########...####.##.#.##..#.#....###.#..#########.#.#...#...####.#.#.##.#.#...#.#..#.......#..###...#....##..##.##..#.#..###.#.###....##.#..##.##.##.####.#.#.##.....##....#..#...#.##.####.....#..##.#####..#.#.#.....##.#.##..#..#.......##.###.#..###.####.###.##.#.#.##...#....#.#...##...###.#####...#.#.##..###.##.....###..#..#....######......##.##.#########...#..##.#....##..#.#..#######..#.#..##.###..#..####......##.#....#..##....###.##.#.#####......#.####...#.###..##.##.....#.###########..#.##...####.#######.#...##....##.###..#..#.###...#.#..#.#.##.#.##.#.....##.#.##.........#.#..#####..#..#.##..#.#.#.##..###..#.#..####..#.#.#.#.##...#.#.###.#...#.####.#..##...#..#.....#..###.#.###....##.#.....##..#######.#..#..###...##..#....#....#.#####.....##..#.#.#...#.##.#..#######.###.#....#.#.###.#.#...######.#######.#..####.######.####..#.#..#.########.#####.#..#.#....#.##..#.#.###.###..#.#.#.#.#..##.#####.####...#..##...####.#####.#.##
######..####..#..#..#####.##.##.##.##.####..####...##.#..#....###..#.##..#.###.#.#...##.#...##..#..#.##.####.##.#.....#.##.#######.#..#...###.#.######..#.#.....#####.#####...##..####.#####.....##.#.##....#.#.######.####.##.#.###.#....####......#######.###...##.##..##.##.#...#.#.###.#.##.#.#...#.#..######.#.#..#.##....#...##..#..####.##....#.####...#......#....#######.#.##...##.....#.##.#....#...####....###..##..#.###.#..#.##.###.#####.#..#.#.#.####.#..#.###.#...#...###..#..#.#...####..#####.##.##..#...###....#.........#.####..#..#.##.#.#..#.#####...#.#..#.#######.##..##.#...##..#...##.#...#.####.#...#..##.#.#..###..#..##..#.##......##..##.#...###..#...#...##..#...#..##.####......#....#..#.##..##...##.##.##.#..##.#.####.###..##......#..##.#..##.....#.###.####....##.####..###...#.###..##.....###.#####.#####..#.#......#.###..............#...#.#.....###......#..#########....#...#...###....##..###.##..##.#.##....#.###..#.##.#..#.####.#.#.#..##.#.#.#.#.#...#.#..###.##.#...###.##...##..#....#.#...##.###.#..#..###.#.##.###.##.###...#..##..###.#.#.#####.#.########.#..###..#####..##.##..###.#....##..#####.##...###..###..#.#####...#.#.#..#...##.###.#..#..###..#.#....###.#.#..##.#..#####..####.##.##..##.####.####.####..##..####..##.#....##.#.#.#..#####.###..#.#..##..#...####...##.#.##..#...###..#.#...####.#.#....###.###....#######.###.#####.....#...#..#..#....###.....##...##.##.#.####.##.#...#....##..####..#.##.#..##.##..#.###.#...##..##...##.##...#.#.#..#..###..#.##...##..#.....####.#.###...###..#......##.##..#.##.###.#.####.#######.#.....###.###.#.#....#...#####.####..#...##.#..##..#.########....#..##.##..#.##..#...#...##......##.#.##.##.###.##.####...#..#..#.########.#..#......#.###.#..##.....#..#.#...#..###.####...###.####.###..#..##....#..#.##..###..#.#####.##...##...##.##...##.####..##...####.##...#..#..#..#...##.#....##.#.####...#....#.#...#####...####....##..####..##..##..##.##..#.#.#.#.###....##..#.#..##.#####.#....#.##.#.#..##.#..#####...#...###.####.#..##....##...#..
...#....##.####.#..####.#..##.##.###.##..#.#.#########......##.....#####.#.#..#####....######..#....##.##.#.###..##.....###.###...#.######.#..#...#...#..##.#.......#..##.#.#####.#...##..#....##...#...####....##.#..#.#..##..##.##.######..##..#.#....#...##..........#..#.##.#....#...###...##.#####..###.#..##.#...####...##.#.#.#......#.###.#.....#.######....#..##.#.##.#.#..##...#..##.##.....#...#.##.....#.##..##.###..#..#.##.......##.#####.##.#..####..#########.#...#.....#.....#.##.#.###.#.#..#..#.#.##..#..#.#.##.........#.##.#.#..#.#..#...#...#.##..###....#.#.#.##.#..##....#.##..####.##.#...####.#...#..##.#..##......#..#.####.......#.#..##....#..#.#.#...##.##..#..##...###.#.#..#.#...##.#.##...##.#..#..#.##.#.###.#.###.#####....#......##....#.#.###..####.....#...#########..#..##..#.####..#....#####..##..#.##...#####.#..#.####...##...###.#.#.##.#.#.##.##.#.#.##.##.#.##..#.#.##....#...#...#.##....###...#.#.#####.##.##.##.#..##.#....#.###..#.####....#####.##....#...##..###..###.####.#..#.#.#.##.####..#..##.#.##..#.##.#.##.#.#..###.#...##.##.##.#####.#...#####.##......#.####.####.##.###..##..#..#.....###..#..#.###.#.......#.#...###....##...##.#.#.#...#.#.##.######.###.###.#..#..#...###.#.##.##.####...###..#..##.....######.#.#######.#.##.#.####.##....#.#.#...#..#####...#...#.##.###.##...#######..##..#.#.##..#...#....##..##.#.##.....####.#...#.#.#.#..#.#..###...###.#.#...#..#####....#...###.#####.##..#...#.###.#......####.##.#####.......#...###.......#..#.##.####.##..#..##..###.#...#..#.#...#####....##..#..##.....#..#.....##..#.....###.#.#..#.#.###.#...###....#...##.#...##.....#..##...######.#.##.#.#.#...#..#.####.##.#..###....######.#.#.#..##.#....##..#..#.#.#.#..##.#.#...###..##.##..###.###..#.##..#.###.#..###..##....####...#.#..#..#.#.#...####..#.##...........##...##....#.########..#..####.##.######.#.#.#.##.#..#..#.#.###.#...##.#...#.#.##.....#...#.#.#.###.#....##.##......#.#..#..##...#.#.#.###..#.#.....##..#....#...#..#..###...##.#..........###.###...#.#.#.#.#.#......###
#.#.#..#.....#..#.#.....#.....##..##......###.###...#....#..#..#...####..##..#...#...#.#...##.##.##..#...#...#.##.#.###.##....#..##...###.#..#....#....#.##.#.#....#...#.##.##.#####....##..###..####...#.##.#....#....##.#####..##.#..#...#..##.#.##...#..####.#.#....#...##.##.....#..##..#.#..#.##.#.##.#......#####.######...#.#.##.#.#...##..#.#....#....##..##.##.#..#.####....##..####.#.......###...##.#.#.####.###.###...##....###..#.#.#...#..##...###....#.#.#.#...####..##.#.#...#...#.#.#.#..##.#.#..##.#...#.######..#.#....#####.###..###.#.....#........####..#...#.#.####..#.#..#..##.#..#####..###...#.##..#.#####.##.....#..###..#####.#..####.##...####.....###.#####.#.#.#####.......###...#..#........#.#.##....#.#.....#...#.#.##.....#.#..#...#.##..###.#......#....###..#####.#.######..#.#..##..#..###..#.##.##.##.##.....#.###.###...#.#.##.##...#.#...#..#.##.###...#..###....##..#####..###..#.##........###..##.##..##..####.#####.##..#.###.#.#.#####.#.###.#..##......##..#...##....#######.#...##........###..####.###.......##.#...####.###.#...#.#...#...#..##..#####.#......##.##...##.#..#.#...#.######...#####....##.........#####..#####....###...#.#.#....#####....#..##.#..##.###.#..##.##.######...##...#.####.......###..#...##.#.#.#...#..#.#...##.###..###...##..#.....###...#.#.#.###....#.###.##..#.....#.##.###..##..#.##.###..#...##.#.####..##.###......#.###..#..#..#....##.##..#..##..##...####.....##....#.##.....#..#....##...#.####..#.####.#######.##.#...#..##..##..#.#.####..#...#.......###....#..#....#.###.#######.#.#####..##.#..#..##....#....#.##..###...##.#.##..#####...#####....##..#..##.###.#..####..#.##..#......##..##.##..##..#.###.##..##..####........#...#####...#.#.###..###.###.####.....#.#....#...###.#.#.##......#.#.##.#.###..#.#.#....###..#######.......###..#..#.#....##..#.######.#.####.##.##...##....##.....#.##..##..#.....###.##...###.##.#.#.#..#..##....##.....##.##.###.#.######..####..##.####.#.#.#...##.#.##..#.###..#.#.##.###.#.....#.#..####.#.#.##.#####..###....##...###.###
..####..##.#..#####...#.######..#####.#..#.#.#..#.#...##.#...#.#...##...#.#...#.#...##..#.#####.###..###....#..#..###..###..#.#..##..####...#.##....##.##.#...#..#..#..##...#.###.....#...#####..##.##.#.##.#.#..####.#..#..##.......#.#.###.#..#####..........##.#.....#####..#####...####.##.##.....###.#...#.##.#.###.#.##..#.#.##.#.#.##..#.#####.###....##...##.#####....##..#..##..#...##.##.#####.#.#.#..#...#.###.##.#####..##.###.#....#.####..#..###.#....######..####..#..##.#.####.#......#.#######..###..###..##.#####.#.#...#....###.###.#..###...#..##.##..#...##..#.#.#.#....#.####....###..###..###.#.#.#.#.#...#.##....##..#.#.###......#.####..##...#.#...##.##........###.###..##.##..#..#..##..###..#..##.####..##.##.#...##.####.####.######.....#.#.###.#.##.#..#.#.#....#####..###..####...#.#...#########....##...#.##.....#..##.###..#.###......###..........#..##.....#.##.####.....####....##...##...#...###.#.#..##....#..##.#.#####...#..##.#.##..###.#.#.###..####..##.##.##.#.....#.####.##.####.#.#.#####.#...###...##.##...##.###.#..#...####.###..#.####...##.#..#.##...##.#.###.#..#.#..#..#..##..#.###.###.##.###...#.#..#..##.#.##.....#.#.#.##.#.##..#......##.....#.##..##.###.....###.#.###.##.###...#####...##.######.##....#..#..##..#.#....#.##.#####.#...#####...#..##....#...#...##.#.#..##.#.##.##..###.####..##.#..#.###.#.#######..#.###.#.#.###.#.###..####....##...##.#...###.#.#.#######.###.##..##..#####.##...#.##.#.#####..#.####.#.#.####...#.##..#...#.#.#.#.##......##.#.##.##.#..#..#.#.##...######..###..#.###........###..###..#...#.##.#.....#....#######.#.#....#.#..######.#....#.#...#.##.###...##.####.####.##....#.#.#.##..#..#..#.#.###.#.#..##.###..#....#....#.##..####.#.###...#...#.###...###.#.#.#.#..###.##...#..#.##.####.....##....##..#..#.##..#####.#..##.##....##.#........##....###..##..######..##.#####..###..##..#.##.##..#...##....##.#...##..#.#..#..#..####.....#.#...##...###..###...#.#...#######.#....##.##.#####.#....##...#..#.##.#.#.####..##.#..#.#..####.###.#.####.#.#.#...####..
......##.##.#.####.#.####..##.#.##.####.....##.##....##.##...#.##.....#.####.#....#..###..#.#..##...##.##...#.###.###......#..###.#...####.####.######.#.#...#.###..##..##....######.#..###....#....###..#......###..#.##.####....##..#.##..#...##...#....#.##.###..####..##.....#.#.#.####..#..#..#.....##..#.#..##...#.#..###.#.###.#...#.##..##..##.##.#...#.#...#....#.#..###.#.#.#...#...#...####.#.....##....######...#.#.###.#.##.#....#.####.......#...##.#.####.#.#.#.#..##...##.#####........#..#####.####.###.###...#.#.#######.##.###......####....###.#...#....####..##...#..##.##..#####.....##.#.#.#.##...#..#...####...#...###...##.####....#####...#...##..#.##..##..####.#####.#..#.##...####.#.##.#.#####..#####.#.#..###...#.#.##..#..#.##.###....#....#.#..........#####.###.#..#.#..###.#.#.#########..##..#..#..##.##.#.#.#...##.##....##..#.##..###.####.##..###.......##.#..#...#..##..##.#.#.#.##...###..##.#.##..##..##.##....##.#..#####..#.#.##.##......##.#.#...#.....#..#..##.##.##.....#.####..#..#.###..#...####...##.....##.#...##..#.#.#....#.###..#.#.##.#.#.#######.####..#......#...##.##.###..##..#..##.##.#..##..#..#..#..###.#...####..#.#......###.###..#.##..####.##.##.###.#####..##.#...#..####.#....##..####..#.#..##.....######.##...##.#.#....#...#.#######.#....###.#.###.#.####.#.###.#....##.#..#..#....#.#.#..###.#......##...#.#######.#..####.####...#......#####..#..##.#.#.#.#####.#.###.#.#.#####..##...#.#..###.##.#......##.#.#.##.######.###........#####.##.....##.#..#.#..#.##.##.###.#..##.##.....#.#..#.##...#.#.###.####..#.#.###...##.#..#..#.#####.###.#..##.#.#.#....#.#######...#######....#..#..#..###....#.###....#..#.####..#..#.#.....###.##.#..###.#####..#..###.#....##...#.#####.####..#..##.#..#####.#..#.#..#.####....###.##.#..#.####.####.#.##.#..##.#.#..##..####.##.###.#.####...#.#.###...###.#.##.##..#...##.##..#######.#..#.#####...#..#...###.##..###..##.#.##.....#.#.###...#..#.##..###.####.##.##.#.###..##.###.#.#..#.##..####.#....#.###.##....##.#.##...##...##.##....#....#..##..#
.#.####..#.##.#..#....##.......#..##.#..####.#.#...#.#..#####.##.###.#..##..#.##..#.#.#....#.......###..#.#.#..##..##..##..##...#####...#...#..##.#....#####....##...#...###...####.###..##.##.###.####...#..#....#.#.#.#.#.#...#...###..#.#..#.####..####..#.##.##...#..######..#..###...###..###.##.###....#..###.#.#####..###########.##..#.##.##.#....###..#....###.#..####......#...#..#..###...###....#..##.##......###.....#####.#####.##.#..#.####.#....###....###..#.#.......#.#...##.#.#.....##.###..######.##.#..##.#.#.###.....####.......##...#.#.#.#.#.#.#..#.###...#.#####......#.......#.#..#.##.#..#####.###...#....#...#...#..#...###....###..#......##.##.##..###..#...####..#.#..######.#.##.#..###.#.#.##.#..#...##....#.####.#####...#..###.#..###...#..#.###.####.#.#..###.##.....#....#.#####.....#...#...#...#.##.##..##.##..#..#.#.##.##.#.##..##...#.###..##.#.....###....##...#..#..#.##..#..#....##.#.#.#..####.###.##.##....##.#.#.##.###...###...#.#####...#..###.##.#...##.#...##.#..#..###..#......####..#.#####.##.#..##.#.#####.#..#.##.#...####.##...#.#.#.######.##.###.#.#.#.#...#.#.#..####.#.#....##.#..###.####........#...##########.##.#..#.##..#.####.####....#.##.....#..#.##...#####.#....#.....#..#.###..#..##...#.#..##.#.#...#....#..#####.###..#####..##...#.####.#.####.##.....#######..#...#..####....#####...#.#...#.#.#..#.##.........#......#.######....#####.#....#..#########.##.###......##..##.#.###.###..#.##.##..##.#..##.####..##.###....#..#######.###..###.##.#.#.########.#######......#......#.........##.##......#.##.#....#..##.#.##.#.#####..#..#..##.##.#..#####.###.#..##.#.####..#..##.#.#.######.#.###.##.#.###..##..#.#.##.##....##.####...##..#.####.#...####.#..##.#.##.#..##.#####.###########.##...###.#.#.#...##..........##.#.##.#....######.#.##.####.#####..#.#....#..##...#.#...#####...#..#.#.#.#.....##.#.#...#.#####....#..#.##...###.#####..#.####.#.#.....##...###........#.#.....##.##.##..####...........#.#######.#...#..#.##..#####..#.###....##.....#......#..##...#.#...#.##.##...
.##.#..#.#.#.#.###..##....#..##..##.#......##.#.....#..#.##.#.#.##..#####.#.#.#..######.###.##.####.##.###.#######..##..#.....#####...##.....##.##.####.#.##...#.#..##...#.##....#.....###..##..#.#.#####......#.###.##...#.#.#...#..###...###.##.#.####......#..#####.###...##.#####.#.#..####.##......##.#.#.#...#........#..#.###.#..#...#...####.#.#..##.##..##.##..#.##..#.###....#..#..#.##.##.#.####..##.#...#.###.####.#.#.#....###..#.##..#.##.####........####.###.##.###.##...#.###.#.#...#........#..##..#.#....#.#.###.##.#.#..##....#.###.#.#.##.#####.###.##.#....###..##..#...#.###...########.###.#.#.#....#.#..##...#..###.##...##...#.#....##...#.#..#...##...###.#.#...##.##...###..###....#.##...#.#....###..#.###..#..###...###...#######.#.##.....###....##.###..##.####.###.###...######.#.#..#.####.####.....###...#########..##.#.###.#.#...###...##.#######......##..#..##.###.#.#.#...#########.#.####...........##...##.##.......#.###..#.###.##.#..#...##.####......#.#.###..#..##.##..#####.....##.#.##.###..#.#.#...#....##..#.#.##.#..#.#..##..#.#.##.#.###..####..#....###..#....#..#.##..##...#.####.####.#..####......###...#...#.##.##....#...#......###....###.#####..#.##..#..#....##.##.#....#.#.#...##.#.####.##.#...##.#.###..###.#..#.....##...#..#.##.#.#.#######...#.##...####.#############......#.....##....#.#..#.##..###.##..####..#...##....###....#..##..###.#.##.#.##....#....#..#.##.####.###....##...##.#.###...#.##....#....#...#..#.###.#..#...#######...#.##.#...##.#.....#..####...#.###...#.##..##.#......###..##...##.#.######.#...#.#..##...##.#..#.#...#.##.#..##.###....##.#..###.#.###.######..##..##...###.#.####.....###.##.##...#..##.#..#.##...###.#.##.#..####..##.#.####......#...#####...#########.#####...##.......###..##.#..#.##.#####.##...####..#..###.#..#.###..#.###.##.##..#..###.##..#....###...##.#.##..##.#...#.....#.##.#.##..#.##.#...##.#....#.....#.#.#.##.##.#..#..##..###..#..#####...######...#.#..##..#####.#.#.#.#.#.#..#.#..###.#.....###..#....#######..##..#...#.####..###...#....
...#...##....#.#.##.#..###.....#.###....#####...##..####....##.#.####.#..#.#.#..#.#.##..###.##..##.##.##.##..##..#...###..##..#.###.#.##.###....##..##.######.....####..#...#.#...#..###..####.###.###....####.#..##.###.##..##..#..#.#..#..##...#.#..######.....#..#.#..#.#.####....#.#..#..#.##.#.#########.#.#.####.....###.##.###..#.#....##.#.#....#..###..##.#..#.####.####.####.##.#.##.##.###..##..#...##...#..#..##.###..###..####.##...##...#..#.#....#..##..##..#...##..#.##.#.####.....#..#.#.#.#...##.....###...####.#..#.#.###...#.....#.#...####.#..#####.##..#.####.#.######..#.#####......#.###...#####.#..#.#.##...#....#####...##.##.##...#####.#######.#.#...#..##..#.##...##.##..#.....#..##..#.#.####..#...###.##....#...#.#..#..#####...###.......#.###.....##.....###.#..###.....#.##....#....#.#..#.#....##.###.##..#...####.##..#....#.###...#.#.###.....#.####.#...##.#.##.####.###..#....#.###..#.#.....##.#.#.......##.#.#######..#..##......#..##...##..####.#....#...#.#........#.#...####....#.#.##...#...#.##...#..##...##....#.##..##...#.#...######..#.#..#.#.##..###..##...###.....#..#.#..###..##...######.#..#.##.#.####.##.###...#...#.##.#.#####......#####.#.###....#...#...##......##.##.####..#.##.#.##...#.#..#..#..#..#.###....#..#.#.##..#.#..##..###....###.###..#..##.##...##.###.....#####.#.#.##.##...#..#...##.#.#..#.###.###.#####..####..........#......###..####..##...#.###.###..##.##.....##..#.####..#...##..#..##.#...#.##..#.####..#####.##..##...#.#...##..#..#.##.##...###.#.#..###...##.#.###.#..#.#...###.######..###.#.#...##.#####.#.##....#.###.##.##.##..#...##.#.#...##.##.##.....#####.###..#...#....###.##.##.#.#.#.###.######.#....###.#.....###.##.#...#.#.#....###.##..#.##..###..##.##..##.#.#...#.#..#....##...#....##...##.#..#.....#..###.#..#.##...#.#.#....#####.#.#.#####..#....###..##..#.#.#...##..##.###..##.....##..##.#.#.#.#.#.####.##..##.####.#.###.#.#.####..#..###.....##.#.###....##.###...#.....##.####.#...###...##..####.#.###..#..#...##...##.###..#..#..#.##.#....######.#.###.#
#.#.#####......#.......#.#.#.###..#......##..#.###..#####..###..#..##.#..###...####.###....#..########.#..#####..#.##.##....#.#####.#..###......###..#.....#####.#.###.#..#####....###..#.#.####.##.###.#..#..##.#.#..#....#.#.#.#...#.#....####.#####......##..#...#..#.....##.#..#.#######.#...###.#.##..#.###....##..#.##.#.##.#...##.####.##.#.......##.........#.#.###........#....###.#.##..##.###....#.##.##.#.##.#....#.....#..#.#..##...##....##...#...######.####.###.#.###...#...##.###..#.####..######.#....###.##..#...#.####....##..#######...########..###..##..###.#....#.#..###.#.#..##.###.##..#.....###.###...###.####..#..##..#...##...###..#..###.#####..##..###..####.#...#..##..#..#..##.##.####...#...#..#.###...##.#.###.#...#.#.##.#....#.#..##.#...#.#.#.#..#.#....#.#..####..##.###...#..##.##.#..###....#.#....#...#..#.#...#.#..##..####.#.#.#....##....#..#..##.....#.#.#...##.##..#......#..###.##.#....##..#....#..##..####....#.###..##..#...##.#.##...##..##.###....####.....#.....#.#.#.#..#.#..##...#.##.#..##.##.##.###..#.#......#.#######...#..#.#..###..#.###.###.##..#.#.##..####.#.......#...###.####...##.##...#####..#####.###....#.###....#.#..#..##.#.##########.##.##.#....#.###..###.....#.###.##.##.##..###..#.#.#...###......#.##..##...####...###.##.#......####...#.#######.#....#..#.##........###..#.#.#.####.##.#####.##.####..##.#..#.##.##.##....#.#.....##.##...#.##..#......##.#..##..###..#.#.##..###...#.#.##.#..#.#.#...###....####.##.##.#.#.#...#..#.####.#..#..#..##.#..#..#.###.#.#.#.#.#.#.#.#..###.#....###.#...#..#..#..##.#....##...#..###.#.##..#.#.###...##..##..#..#..###.###..#...#.##########.###.#.#..##..###.#####.#.##.#..#.##.#..##..###.###.#.#..###.#..######...#.#.#.#...#.#.#...###...#..##.#.##.##.#######..#####.#.######.###..####....##...###.##..#.#.#.#...###.#..##......##.#...##..###..####..#.##....##.##...#.###..#.#.#..#.#..##......##.#..#...#..#.##...##.#..###..#.#...###.....#.######.###..##..####..####.##..#..##....#..#..#..##..###########..##..#....####...#.###.#..#.
....#..#.#.#..#..##.#....##.###.#.#####...#...###..##.###.##.#.####..##.....##.##.###.#...#.#.#....##.#.##.##.#...##...#.#.#.###.##.#.##.###.#...#.....#.####.#..#.###.##....#..##..#.#.###.##.###.##.#..#..#.........###...#.#.#.##.#.###...#.#..##..#......##..##.##..####.#....#####.##..####..#.##.#..#.#..##.#....##....#.#..##.#...#..##...#..#...#.#.####.#.#.#.#.....#..#.###..##..#.........##...##.#####..###.##..#...##.#..##..####..##.#.......##..#.......###..#..#..##...###..###..##.#.#.##..#..##.###.#######.#....#.###.#.#####..##..#.#.#.##...#.#..#.##...###.#.###.#.##.......#.....#.#..###..###.#..#####.######..##.#..#...##..#.#..##..####.#####.#####.###.#..##..####.##.#..#.######.#....###...#.#######..#..##..#.....#.##.#.####.#.#..#....#..#######..####..##.###..##.....#.#.####...###...#.#..#..#####.#..##...##.##.#####...#.#.#######..#.....#.#.#.#..#.##...#.#..#....#..#..#.#....#.#.#...###.##..##.##.#..###.###..####...###.#..####.#....#.#..#.#...####.##.###..##########..#...#.###..##....#.##..##.#.####.#.####..#####.##..#.###..##..........#..#####.##.######.##.#.##.#.###..#....#...###.#..#.#.###.#....##.#....##.##.##..#.#.###..#..#####..#..#...#.##...##.#.#..##...#..#.##...##..####.##.#.#.....#.#.#.#...###....#.#########...#.#.#.###.#.#..##..#..#.##.#..####..##...###..##...##.#.#.###.######.#.##..#.###.#....##..###.####.######.####..##...#..#.#...##..###.##.#...####...##....#.###.#####...##...##.#.#####..###.##...##.##.#.####.###.......##..#..##...#..####.#.#.####.#...#.#######..#..#....#..##....#.###...#.##.#...#..#..##..#.###..####..###..####....#.##.....#...#..#.####..#...##..#..#.####..#.##...#.#.##..#.####.##.##..#####....##.#.#.###.#...#.##.#.##.#.##.#....#......##.#...#.#....#.##....#.#.#.##..##.#.##.##..###..##.###....#.##.######.#.#..#.#.#####.####.####....###.#.#..#....#######.#####.#####.#..#..##.####...###..##........###...#....##.#..#.##....###.#.#.##..#..#...#.#.#.##...###....#.##...#...#...###.###...#..####.#####..#.#.#.....#.......#....#.####.#...#.#.#..
..###.#..#.#.####.#.#.#.###.#.#.####..#######.##.###.#.##..####.#.#..#........####..##...#.####..#..#..#.##.######...#.#..##......#...###..#.#.....######..#..##....###...#..#.###...#.#######..#######.#.#.##.#..#.#.#.#..#.####.#....#...#...##..#..#.#.#####..####.#.....#..#...#.#..#####....##..##.###...#...##.##..#...#.....#...######..#...#..#..#.###..######.####..##.#.#.#.##.#.###...#.....##.#..#.#..#..##........#.#...#.##..#....#........#....##..#####.#.##.##..###.#.#..##.#...#.#.#####.#....###.#.##.#..#.###..#.###.#.#..###.#..##.#..#..##..#..#......#.##..##.....##.#.#....###...#........#..#..######.##.###.#..#...#....###.#..#....#..##.##.#.#..######.#.#....#..####.....#...##.##...########..##..#..#.......###.#.##.###.##.#...##.##.####...###.....###.##......#.#.######...#...##.#.#....###.#.#...###..........##.#..##..##..###..####...##.#.###.....#..#.#####.###..#.#..#.##....###....###...##.#.##.###.....###.##..##.###.##.#.#....####..##....##.#.....#........##.....#.....########.#....#.#...####..##.#.#.##.###.....#...##.##..#..#....#..###.#.#.#.##.#####.#.#...#..#...####...#####.#.#..###...#.#.....##.##.###.#.#..####...#.##.####..##..#.#.#.##...##.#.##....##.##.#.###.....#..#.####.####..#...####.##...#..#####.##..##.####.#..#.##.#.#.###.##.##.#.#...##....#.#.####.##.########..#..#.#.###.#.###.###.#..#.....###..##..##...###...###..#.#.##...##...#..#....##..#......#.#..#...#.###..##.....#.##..#..####.##.#####......#.####.#.#...##...#.#.#...##...#.###.###.###.#...#.#####.#..###.####..#..#....#.####..#.......#...#####..##.#.###.###.#..########.##.#..##.#....##..#...##..###..#..#.##....#...#.#.##......#.............#...#...#.##.######.....##.....##.##..##.#.#...##.#####..#.#......#..##.##.##.##.#.###..#.....########.######.##...#..###.#.#...#.#...#.#.##.#..###..##.#..##....#..##...##.#.#..###.##.#....##....#.###.........#.#.#..#####..##..###..#..#......##.#####...#.#..##.###.###.##..###.###..#.#......####.#...##...##.###.###.#.#.#.###......####..#..#..#...#.#######.###.###
.#.##..#.##..#..##.....#.##....##....##.#....#.#.#.#..#####.#.##....##...###.###..#.###......###...########.###.###...##....#..####......#.##..#.#..###...#...##..#..#....##.#...#..###..#....#..##.#......##..##.##...#.#..#........#.##.#.#..##.#.###..###..#.#..#.##....#.##..###...##.########.#....#..#.#.#.#.#######.#..#.##.#.#####.###..##.#.#.#......###..####.###..#....#.#..#.#..####...#.##....#.##.##..#.#...##..#.##..####...##.#.##..###.....#...##.......#......#.##.####.#.#..##.#.##..#....#.#..#..##.#..#...##..###.###..#...#....#..##.######.###..#..##....##....##....#...##.#.##...##..##.....#....#..#...#.#.....#...#.#.####.##..#..###.#.#.##.#.##.#..#...##..##...#..##..#..#.......#..#.###.#......#..#...##..........##.##.#.#..#.#....##..##..#.#...##.....#.#...#...#.#..##..#.####.##...##.##.#...##..#####.##....####.#..#.#..##..##.#..#.....##...##..#.###.##.....#.#.#.#.#.##....##.......##.##.#.##...######...##.#####.#.##...##.####..#######.#.###.##.####...###.....#.#....#.####.#.#.###.#######....##..#..#.####.#.#..#...#.####....##..#..##.#....###....##.#.....##.####..#.###.......###.##.#...###.#..##..#.#.#..###.#.....##.##.....###.####...####.#..#####...#.....#..##.#..##...####.#..#...##....#.#..##.....#..##.#.##.##..###.#.#.##.####..###...#.##.#..####...#.####......#...##.#.##.##.#####.##.##.#.#.###.####..##.###.##..###.###..#.##.#...##..##.#.#.#.....#..######..#..#....#..##..#..#.#####.##.##.######.....#.#...#..##..##...#..##.##.#.....##.####.####.#....#.##.#.#.....#.....####...##.#########..#.....#####.###..#.##.....#####..#.#.#..##.#.####..#..####...##.###.#....####.##.#....##.#.#############.#.#.###.#.#.##...#..##..##.#####...#....###.###.....#..##..##.###.##......#.#.#.##.###..#####.#..##.#..#.#.##.####...#..####.####.##.###..#..#..#.####..#....#.#.....#####...##..#.......#..#.#..#.##.#...#.#.#....####.##..####....#..#.#.#.##..##.######.##...#...#..#...#.#.....##.#...##...##..###.#....###..###..#..#...#..#.#...#.#.####.#.###.#####....#.#.#.#..#.#..##.###..##...#.#.
#..#..#.##..#..####.##.#.#.#.####.#..##...##.####.#.#.....####.#######.#..###.#.#####..#.#....#..#.#.#.##.##.##.#..#...#..#..###.###..#.#..##..###.#..##...##......#....##...####.###.##.#.####.##...##..#.#.##..#.#...###..#..#####.#.##.####.##.#..####..#...#####...#.#..#.###.........#...#....###..#...###.#.###...##.#.#.....#.....##.###.#.#.##..#.###..###.##.#.....#.#...#.##.####....##.#..###.##.#....#.#...##.#..#.....#...######.#..##.#####.#.###.##.#.##...##.........##.###.##.##.###.##.....#...#.....#.....#.#..##..##....###.##..#.###..#.###...##...#.#...##..#.##.#..####.....##.#.....##.###...#.#..#.....#.##....#.####.####..#..#...##.######.#.#.....#..#.##....#.####.#.#....###.#.#.#..#.###.#####.####.#.###.#.#.###.#..#.#.#.#.#..########.#......##.##.###...#.###.#....####..#..#..####.#....#..##.####....#.#....##..#####....####.#...#...#..##...###..#.#.##.##...##..########..###.#.###.#.###.#.####....#.#...#...##..#..#.#.####..#####.####..###.#...#.#####.###...#####..##...#..##......###.##.#..#####..#..###.#.#.......##.....#####...#.#########....#.#.#####.#...####.....###..#.######..#.###.#.###..#.##.####.....###..#.#....#.#.##.##.#.##.....#.##....#####.###...##.###.######..#..#....#..####.###.#.#..#.......#...#..####.....#..#.#.#..#....###...#.#.#...###..#.####..##.#.#..#.##..##...##...##.#.#....##.#....#.##..#..#.#..##...##.#.#...#....#..##..#....###..#..###.#..#.#....##....#.#..###..#.#####..#..#.##.#..#...#..##.#.##...##.#....#.......##.###.#.#.##.....#..####...#.#..#.####...##.#.#.#######.##..##.###.##....#.##....###.####..##..#.#..##...####.#.###...#####..##.##.#.##..###..#.#.....#####.####....#..#####.#......#..#..###.###...#..#.###.#..####...#.##.#.#####.##.#......#.#.....#.###.#..###...###......#..#.#.#####.#.##.##......#####...#######.#.#..###..#...#.##..#...##..##...#####.###.#####.##.#####.###..##.#.#.....###..#.#...#.#......#.#..#.#...###...#....#..##.#.#.##.##.##.##...###.##.#..#......#....###.##..#..#.####.#.###..##....#...#.#..#.#.#.###.#######..###.##...#
.....##.###.##..######.#...##.##...##########.#..#.#...##.#....#.##.#.#..#.##.#.####..##.##..#..#.#.#########.#.#.##.####.#..#####.##.##.#.#.####.#.#..##......#....###.....##..##..##.#..##....###.....####.#....#.###..####.###.#.##...#####...#.#.###...###.#.##....##.####.####.....#.#....#..####.##.####.#..#.#.#####.#.###.###....###.##.#...###.#..###.#.##.##..#.######.....##.#.#..#....#.#.#.....#######.###.#.###....###.##..##..#..##..###..#.##..#.#.#..#####.#.###.###.######.#.#.###...#...#######.#.#..#.....#.......#.#.#####..#........##..#...####.#......#.##.#..#..##.#.##.###.#.####.#....###..#....#...#..####...#####.#..#####.....###..#.###...#.###..#..#.####.##.#.###...#.##....#...#########...#.#..#.##.#.#.######.#...###..###.#####.#..#...##..#..#.#.#...#...#.#.....#..#.#.###..##.###......####.###..##.##..####.#....##.#.###...##.#.#.#.#.....##.##..###.#..###..#.#..##...#.#..#.#.#.##....##........##.###.###..#.##.#.##.##...###.###..#.##..##.#...#.###..#.##.###..#..####.....##.###..#..####.##..#.###########.####.#.#.####...#..##.#.#..##.###.#..#.#.###..#..#.#.....###..##..#####.#.......###..##...#....#.##.#.#..##.....##......##..###.##.....##..###.#..##.#..###....##..####.##..#######.####.##...##....##..#.#########...#.##.###.###.##.#.#....#.#.##.##.....#.#.#...##.##..##..#..#.#.#....#.###.###.###....#######.#.........#...#.#..#..#.##..#.#.#.#.####....#.#.....####..#.###..#.#.##....##..####.###..#.#.####.#.#..##.###.#.......#..###.#..#.....#.##.#.#.#.##.##.#.#.#.##.###.####.####.#..##.#...#...#..##.##.#......#.##.#..####...........##.#####.#.#######.#..###..#...#..##..###..#...#.##...#....########.......####..#...###.#...#.###.#...##.##..###..#.#.##.#.##.#.##...##..#.##.#..#.#....##.##.###..#...#..#.#.#..#....#.#######.....#.###.###.##.###.#####..#....####.##.....#.##..#..###..###..##.#.###..##...#..#..#.##...###.#.#..#....#..#.#.#.....##.#..##.#...###..##.##.####..###.##.#..#..##........####.#..##.###.#.#.#.###.#.##...#.#.......#....#.##.##.##.######.###..#.#######.##
....##..##.##.#...#.#.##.#####..#..###....##.#.#.##.....#.#.##.##..#.###.##.#.####.####.###.......#####....#...#.##..##.#.#.#..##.#.##..#..#.##.#..######..##.........#.##.####..####.#######..##..####.#.#.##.####....####..#.##.##..#..#####...#....#..#.#......##.#.....##...##.###.##...####.#...#.##..##.###.###.###.####.###.#.######..#..##..#.#.##.#....#...##....#####....#....##.#######..#..#........#.#..##..#.##...#..#....#..###.#..#...#....#...#....###.....###...#.#.#..#..#.##..#.#..#.#.#.#.#.##.####..###..#.#.#.##.#.##...#.##.#.#...##..#.#####...#.....#..#.......#####..###.#..#..#.....##.######...#.###..#.#..#.#..#.##.##...#.##..#.#.####.###...##.#.###.#..#....#.#..##..#.##.#.#...#.##.#####.#..#.#...#.#..#..##.###.....###...###.#..##...##.......#.#.####.#..###.###...#......##....##.#..#.#...#.#...##.##.#...####.#.#.#..##.##..##.....#.#.#...##.......#.###.#..#.##...#.#...##..###.#.##..#..#.######...#.##.##.###..#####.##....#.##.#...##.##.....###....##...#####.#.##.###.#...####....##...#.#.#.###...###..#.####...####.#.#.####...##.#.....#...#...#...####.#..#..#.##.#...#.##.#.##.#..#.#..#.########.#...###.##.#.#.###.#..##.#.####....#.##..#..#######...##.######..#.###.#...#..###....##.#.#.###..##..##..###..#....##..#.#..##..#####.##.#..#....#......#####.......#.#.#####..####.##.###.....##..#.#..##.##...#####.##.#####.#####.#....#......##..##.#.#....###.#..#..##..#.#..##.#.#..#.##..####....#....#.####..#..#.#########.##..##.##...#.##..#.##.####..##.......#.##..#####......####.##....#.#.####.####.##.##..#..#.##..###..###..##.#...#..##.####.#.###.##.#.###.##.##...#...###.#.#..##..###..##.#.####.##.....#.#...#.##...###.#...#.##..##...####..##.###.....#...........#..####.##.#..#.####..#.....#.......#.#...####..#..##....#.##...##...#.##.#.###.#.#.#...#.#.....#..#.#####..###...####.#..##.....######.##..###..##..#..###.#....#.#.###...######.##..#.##.##.....###.#....#..#.......###..#.####.#.###.###....###...#.#...##.##..#.#.#...#..##.###.####..##.#...#...#####.##.#.#.#..#.##.##.#
.#....#.#.#...##..#.####.#.#.#.#.#...##.#.##.#..#.......#####....##...###...#.#...#.##.#..###.....##..##.#.#.##..#...#..####.##..#.##..#...#.......###....#............#...##....#..######.##.#..##.##......#..#.##.#....#..###..#..#.#.#.#.#.#..#.#....#...######.##....#.#..##.#.#..####.#####.....###...#.....###..###.#.##.#..#.##....###..#.###..#.##.#####...#...##..##.##..#.#...##...#..#..#..#.#.####.###.#...#.#...#.##...#.#.####..#....######.##.##..#.#...####.#...###.###....##..######..#..##....###........#..#..####..#..#..#...#..##.#####.##..#..#...##...##.#...#....##.#.##.##..##.#..#..#.####.####.#...#...#..#####.#..###...#.##.###.......#.#....#.##.#####.##...###.##........###.#..#...#######...#..#.#.#.#.#.#.#....#.#.#..##.###..##.##.#####...#..#.###.#.....#.##..###.....####...##.###.#..##...##...#.######..##..####..##.#.....#..#......##.......#.#....###.####.###.......###..#..##....#..#.#..###.#####..##..##.#.#.####........#####.##.#####.##.#....###..##.###..#..##..##..#.##..#....##..##.###.#.#.####.#.####.##.......#.#.#.#..#..#..##..#...#.#.##..##.##.#..#.#..#####.#.......###...#.####..#.#.#.##..##....#..#...#..#..#...##.#.##....#.##.#.##.#.#..##........##.###.##.##....####.####...#....####...#####.#.##.#.#...##.##..######.#.#.#...#..#.#...#.#...############.###.##.#.#.#.#.###.####.#.#.#...##...####.#.#.#.###...###..##...#..###.#..###.#..#.#.###.#..#...##..##.##..#..##..##....##.#######..###.#..##.####.#.#.##....##.#..###....#.##....#####...#..##.###.###.##.##...##.#.#.#..#.#.#.##.##.##.##..####.#..#.....#...#.#.##.#.......##.#..#.#.##.#.#.#.##.###.##.#..#####.#..###.####.....##.....###..#....####.#.##..##..##.......#.#.#..#...##.###.#..##.........#.#####.#....##.##.#.###.##..#...#####.##.#######.#####.#..#......##....#.#.#####..#.##.#.##..###....####....###....#.###.####.#.#...#..#.#..#..#.###..#.#.......#####..#.##.###...##....#..#...#..#######..##.##..##.####.####..######.#.##.##.#.####.###.#.##.....##........###.#############.###....######...#....###...#.###..#.
.###..#.#.####.#.##..##.###.#..##....#..#####.#.#.#.#.##.##.####...#.##...#.#.#...##.####....##...#...#.#....#.#..####.#.###..#..#....##..#..##....##.########.###.#....#.#..#..#........#..#..#.##...#.#....##.#....#......#.##..#.#.........##...#...##.#.##.#.....###..#.#.#...##...#####.#...#....#..##.###.##.####.##....######..##...#............#...#.##.#...###......#...##.###.#####.#.##..#.#.####..#...#.###..###.#.#.#.#.#..##.#####...##.##.##.###....#.#.##.####.##.##...#.##.#...#..#.#..#..###.#...#.#####...##...#.#.#.#.##...##.####...#.#.#....#..#.#######..####..#.###.##.#.#......##..##....###.#....###.#.##...######........###.....#######...#.#...###.##.##..#.#.#....##...##.####.##.##..###.##..#..#.####.###..##.###..####.####..##.###...#..##.#.##..#.#....##.##.#.#.##..##.##..##........#.####..#..#.....#...##.##.#.....#.#.....###.##...#.#..#.#.#.#..##.#.#.##....#.#..##.#..#..###.#.#...##.##.###..#...###..#....##...#######...##..#...##..#.####.###..##.##..#####..###..#.......##.#.#.#.##..##..#.#....#..#.##..#.#####.#.....#..######.#...##.#...###.##..####..#.####.#.##..#######.##...###..#..###.####.#...#..####..##...##..#.##.#.##.#...#..#..#..#...#.###.##..###.##.#..##.#.###....##.##.#.#.#..##.#.#.#.#...#.###....#..#.###.###.#..#..##....#.#.##.######.#..##..###.###....#.####.#..##.##...#.##.#..#...###.#..#..#....##..##..#.##..##...##...#.#.##.####...###..####......#.##.#.##..#.....##.##.#..###..##.#.##.#....##.#..##...#.##.#...#.#....##.....#.#..#..#.###.....#.......##.#.#.#.#.#.#.....#.....#...#####.....###.####.#....##...##..#...#####..####..#.##.##..##...#.#.#.#..###..#..###..###...#.###.#..###.#..#......#.#.####...#.###..###.##.###..###.###.####.#...##.###.##.#....##.#####..#....#...#..#.#.##.#...........##.#....#.#....#.######.##..##....##.....#....#..#......#...#.....#..#..#.#.##....#...##.#.###.####.##..###.##...#..##.###..#.###....##.....#..###..#...#.#.##.##.##.#..##.####.##.####.#.###.....##...##.#.#..###.#...#..#.##....#......#..####.#.#...##..##.#.#.##....#..
#...#..#..#.....#.#####.##...#.###..##....#..##.##.##..#..#.###....##.#...#.#...######.##.##.###.##.#######.####...#####.#.#...##.#.###.#.#..#.#..#....#...####..####..#..#.#.##..#..#.##.###.###.#.##..#.......#....##...#...####.##.###....#.###########.##..####....##..##.#.##.#.....#.....#.###..##.#..###.#......#..###..###.##...###.##.##.....#####.#####.#.#####.##..##..#.....#..###.#..#....###.#..##..##...#.#..###.##...##.##.#.#...##....#....######..#..#..##....####.##.#..#.##....###...###...##....##.##.#......###.###...###.#.#.#.#.##....###.#..#.#.#.##.##.##.#.##..#.######......#..#.##.##.#..#.#.###.##...##.#.#.#.###........##.#.#....#..#.##...######.#..#..###...###...#.#.###.#.##.##.####..#.##.##.#..#..##.#..##..#.#..#..............#..##.##..#...#...##.###.###....#.##.#..##..#..##..#.....###..###.##...####.#.##.###.###.##.#..#.##..#..###...####.##..#.######.......##..#.##..##...#####...#.##.##.#.#.####....#.##.##..#...#....##..#..##.###.....##..#..#..##.#.##.##......#.#.#.######.##.#.##....####..###...#..#.###..#...###.#.#.#...#..#.#.###....#.##########.####.##...#...####.###.#.####...#.##....##.#..#####.#.#...#...#....#.#.##.##..#.####.#####.#.....#.#.##.#.###.#..###..#.##..#..##...#.###.....#.###..##.###.#.#.......##.###...##......####..#..#.#..#######.####.#.##...###.#...#.#.#..#.#..#.#..#...##.##..##.##..#.##....#.#.##..######.#.......####.###....#.....#...#..#...#.#...#.##....#.#.#.#.##.##..#...#.###.#..#..####.#.###.##.####..#.###....#.########.#.##..#..###......#..#.###.##.#.##..####...#..#...##......#....##.##.#.####...###.#.#.##.##.#..##..###.#.#.#.###.##.#..#.#######.#####..####.#.#.#.###...##.#..###.#.#..##....#.###.###.##..#.##.###..####.##..##....###.#...#....##.#.#########.##.#.#...#...#.##.##...#.###...#.##.....###.#.#.#.#.#..#..##.#.#.#.####..##....#.#..#..#.#........###.##..###.####.##.##...#.##########..####..###.#..#.##.#.#.###.#.#..###.##..#..#.###.#####...##.##.####.#...##.#.###......#..#.###.#.#....#.##...##....#..#####.#.###.##..####...##...##
#..##..##..#.#..##......##....#.##...#..#...#.#...###.#...#..#..###....#...##..#..##.#.#.#.#....####..##..#......##.###.#..#...##..###########.##.#..###..#..#.#####...#.###........#####...#.#..#.#.....#.#.##.######...###.##.###....#.#..###......##.#..##.#..##..##....#..#####..###.###.#.#####.##......####.#.#..#..###.#.##.#.....##..###...#...###.##..#####..#......###..##.##...##..##...#.#....#..##...#.######.#..##.#.##..#....#######...#..#.####.#...#####..#..###....##...#.##########.#######.###.....#..###....#.#.#.####.#.#.#.#######.....#####.#####.#.....##.##......######....#....###.###.....##.#..#..#.##..#..#.#..###..#...#.#..#..#######...#..##.##.##..##....##..#...##.#.####.#.....####...##.#.#...###.#.##......#.###.........#.####..###..##..#.####.#.#.....##.###...#.#####.####..####....#.#.####.#..###.#.####.#.####...#.#...#.#....####.#..#.#.##..##.##.#.###....####..#...#.####.#.##.#...##.#.#.#..###...#.....##.####.#.####.##.##.##....##...#.#.#.#.##.##.....#.#.#..###..##....#.##.....##.##..#.#....###.....#########.#######.#.##....#..#.#........#...####....##.##.####..##.....##.#.##....#.#......#..###.########.##.#...#....#....###...##.##....#..##...######.#.#....#..###.#.##..##.##..#.##...#.##..##..#...#..####.#.#..#.##.###..##..#..###..###....#.#..###...##.#...#.###.#.#.##.....####....#.#.##.#####.#..#..#.####.###..#....#.#..#.######..#.#..##.#.#.#..##....#.#..##..#..#..#.#.#...##...#.#.#..####.....##....######.......#.##.#..###.#.#.#...#..#####.#..###..#.###..#..#..###.#######...#....#####..#..#.#.#....#.##....##.###.#....##.##.##.#####..####..#..##.##...#.##.#...###.##.#######..#.##.###.#.#.######.####..#....#.#####.....#.#####...#..#..#..##..##.#..#.#..#..##.##.#.#####.#..#..####..##.##.#..##.....##.##..#.###..#....##.....#####.###.###.#.#.##.#..#.##.#.#.###.##..##.###..####....##.........#####..#...#.#...#.#.#..##..#.####.###.#####.......#..#.#####...###..#.#....#..#.#.#..#.###....##.#....##.#..#..#....#.#.#####..#.#...#...##..#..##.#.#####...#.#.###.######...
#.#..#.#.##...##..#....#.#.##.#####.##..####..#.#...#####..#####..#.#...##....###....#......##.##.....#....#.....#.....#....######...#..#..#..#.#####.#.##....#...#.#.##.....###.##...###.#.#.##.##.#..#.#..#...#.####..#.#.####..####..##......###.#.#######.#.##..###....#.....#.....#.#.#..#....##.###.....#.##..#...###..##.....#.#...#.#.##..###..#..####.###.###.##..#.#.###.#..#.####...#.......####..#..###.##..##.####.#####.##.###...#####..#.##.#.##..#####...##...#..#..#.#.###.####..##.###..##...#.#.........#########...#.#.##..#...#...#####.#.####..#.#######.##.#....#....###....##.###.#######.###..###.#..####.###..#..##.####.#.#.#.##..#.#..#.#..##..#...##..##..##.....#.###....##.#..###.....##..#.#....##.##.....#.##.#.#.###....#.#.#.###.#..#..##.#..##.###.##.###..####..#..##.....#......#.#.#####.#..##..###..#.#.###..##..#####.....#..#.#.#...#..###.#..##..#.#.##..#.##..##..###.#..#..#.#####.#.##.....#..##........####.#.#....###..##.##..#.##....###.#.....#..##...#..##.#..###..#.########....##.##....#.#.##.##...##..#..#..#..#..#.###.#....###.......#.#.#.##...#####.#....#..#..#.###.##.#.###...#.##..##..#####.###..#........###.###....#....###..#..#.......###.#...###.###....#.#..#####.##.#.#.##.##.#.##..##.....#..####..#.##..####.#.##..####..########..#..##..##.##..#.#.#...#....#.######..#..####.#...#.##......#.#.#####....#####..##.##..##..###..#..###.##.....#...#.#.#..........#..#....#..#..#..####.#.##...#...###.#...#..##.####..##.....###.####.####.#.#.#..#......#.....#..##.##.##....###.#....#..#..#.##...#.###.#.##.#...#...#.#..##....##..#.####..#.#.##..###........#.###.#......###.#.#.#........#..#.#.#....#.###.##....#...###.#.#.##....###.#.#####.#..##..#.#.#.####.#.......##...###..#####.##.###.####.#..####.###########..#...###....##...#.#.##.#.###.##.##.#..#.###.....#.####.##...#........####....##.##..#.###.#..##..#..####.#.##..##.#.....#..#.####.###.....####.###.####..#####..##.##....##..##...##.###....#..#..#.###..#.##.##.#.#.#.....##.#...##.###.#....#.##.#.#...##..###.....#
#...#.#.#..#.###.#..#.....##...#.###.#.##.##.#....#.##.###..#####..##.####....#..###..######...##.#####...#.#.####.##....##..#.##.##.#.#..##..####.#....##...#....#....#.#.#.#..###.####........###.#...####..###.###.#.####........#..###..#.#..##.#..#.##.#.##.#...####..###.##..#...#..#.##..#######.######..#.....#..#.###......####..##.....###.#.###.#####.#..#..##.#.#...######...#.####..##.###..###...####..#.#.##.#.....#....#...#....#.###.####.#..#.###..#####...#..####...#.##.####..###.##..#..##.#.###.#..########.#.######..##.#.##.#..#..#####.###.#..#.##.####.######.##.#...#.##.#..#....###..#..##.#.##...#..######.#.##..###.#####.##.#.#.####..#..#..#..#...##.#.###.#...###.#...####......#...#..##....###.##..##.###.#.#.#....#..##.#.#.#..#...#....##.#.#...#..........##..#........###..#....#...####..#...##....##..#..####.........##...##.#.#.#.##...##.#..###.#..#....####...##..######.#####.###.##..##.##..#.#.....##..########..####.#########.###..##..#.#..##.###..#.#.#....#.......#..##.#..####.####......#..##.....##.#.####.#.#.#...#.#..##....##.#..##.#.#...###....#....######.###.#...#.#..#...#.#.##....#..#...#...#.###.#.#.#.###...#######...######.#.#.###.#.####.####.....#..###....##.###...###...#.##.#..##.##..#...######....#....#....####..###.###.......##...#####....#.#####...#..#..#..##.##.#.#...####....#.#####.##..##...###.#..#..#.#.#.#.#.##.#.##..###...###.#.#.#.###.##.##....##.##..#.#.#.##.#....###.##.#.#....##..####.##.#..#....####.#.##.#..#.##.....#.#.......##..#.#....##..#.#....######...#.####...##...##.##.###..##...#.#...#.##.#####...#..#..###.#.....#.####...#.#...#..#..#...##....#.#..##...#.###..#......##.#..###....##...#..###.###.###.#.#.##..#..##....##.#...#.#......#.#.#####..###..#..#..#....##..#..#.#..#.....##.#.#..#.#.....#.##..#..##.#######....#..############.#.###.##.#.#..#.#####.##.#####.##..#.....#.#...##..##..#..######..#.#...###.#...#.#........#..#.....#..#..####...#.#...#..##......#...#.##...#..##..#.#..##...##.#..#...##.#.###.#.##..#...##.......##....#..#.
..##.#...#.#...#...##..#######....#.######..#..####.#.........#.#..##.#..#...###.###....#.##........##.##.###.#.##..##.....##..#.#.####.##.#.#.#...##.#...#..####...#.....###.#...###........#......##...#.#.....#.#.###...##..#..##.###.##.##..#......###.#...##.#..###....#.##....#.###.#.#..#.#.##.##.#.#......##..##.##...##..#..#..#.....#..#.##..#.....######...#.##.#.#...##...#.#..##.##.....#..#..#.###.#.......#####..##.##..###.##.##.#.##...#...#.##....#.###.#..#.#..#.#.##...#.#....##.#...#.##...#..##.#.####..#..##..###..#..##.......#.####.##..###..#.#.###..##.####.#..#..##.##.#....##.#..#..###..#.##.#.#.##.###......#.#......#.#.#.###########....###...###.#..#..#.......##...#..##..#...#..###.##.#####.#....##.##.#.###.##.#.##..##.#.#..####.#.####...#.##..###.###.#...##.#.#..#...#.##.##...###.#.#..###...#.##.##..##.....##..###...###....#..##.#..#...#.##...###....#####.###.##..##...#.##..#####...##.#...#......#.#.....#...#..####.#..##.....#.#.##.#.#...#.#..###..##....##...#...##...#.##.###.#.....###.##..#######.###..####.###...#.....#........#...##..###...#.####..#.##..#..#....###.##.#.#####..#.##....###...###.##..###..##...#...#..###.#..#.####...##.#####.#...##..#.##..#..#...#...#......########..##.#..#....#..#.#####.###.##.###..#.#.#..##..##...#.....##...#...###...#.....###...##..#.#...##..#.#...#######.#####........#..#######........###.#..#######.####.####..#..##.#.###.#.###..#.##.######..###.#...##...#..#.#.....#..#.#.####..#.#.....###..##..#.#.#.#..#.###.###....#..#....###..##.#..#..###.#.########.###....#.####.##.##.....#...#.#...#.#.....#..#.#.###.#..###..#..##..#.#.###..####..##.###.#.##..##.########.#...##.#..##.#..##.#..#.#.#..###.#..###.#..##.#.#.#.#.#####.#.#######..#..#..##.....##..#..##....##..##.##..####....###.###.##..#.##.###..##.#..###......#..#....#.#........#.####.#.#..#......####.#.#..###....####.#.#.#.#.####....#.#.#.....#..###.##..#...##.#.#.###.#.###..###.#.#..#.###.....#.#####.#.##...######.#.####..#.....#..######.##.#.##.###.#.#.#..###.#.....###.#
#####.#...#.#.######.#.###..####..####.#....##..###.##.####.##.#..#.#.#.#.#...#...#..####..#.......####...#..##..#...##..#....###....#..#.#.##....#.##.#.####..########...#...#.#..#..#.#..#...#..#......##.##....#.#..#..#......#.###.#...#.#.###.....#.##.#.#.#.##.#..#.#..###..##..####.#######.#####.##..#..#.#..#.#.#.#.#...###..##.#.##..#.........####.#..##.....#...#..#.#.#.#.##.##..#.#.##.....##..####.###.##.#.#.....####.#.#.###.##...#....##...##...#.#.##.##.###.....#..#.#..#.#.#....##.......#..#####.#.#....#..#.##.#.#.###..#..##..####....##.######.##...#.#.#..##.#..#.#..#..##.##.##.##..##..#...##.#...#.#...###.#.#...##..#..#...####.#..#....#.#.#.########.#...###....#.#.#..#.##.##...##...#..#.######.##.##.#.###...#.###.###.####.##..........#..####..#....###.##....#.##...#...#.#.##.##.#.......#..###.###.#..#.###...#.#..####.##...#.....##...##...#..##.#.#.#.##.#.#....#.######...##.######.....###..###...##.##.###..#.........#.##....#####.#..##.##.##......#..#..#.##...###.#......#..###.#.##.....#.#.##.....#..#..#...##.##.#..##..#..##..#.###..##.......#..#.#.#..#...#..#..####.#.#.......####.#####..####.#.#..###.#.#.##.#...#.#.##.###...###.#..##.#..###.##....#.##..#.#.###..##...#.#.###...####....##....##..##.####.#....#.#..####.##..##......#..###.###.###....##.##..###....#....##.#.....#..#..##...#......#.#####.#...##..############.#.#.#####.###..##.#..#....##...##.#.#.#..#.#.##.#.....#...##.#####..##.#.#.#####.######.##.##....##..##.#.#######....#...##...#....##..###.##..##.........######.##.#..###....########.#.#..#..##.#..#...##.#...#.#..#.#.###.###.#..#####..#.....#..#..#.##..#..#...#...##..#..#.#...##.########.##......#.#.####..####.#..##.##....#..#.##...#..#.#...###..#...#.....#.##.###...###.#.#.##.#.......#.##.#.####..#...#...#..###..#.##.####...#..#.#.#.#.######.####...#...#...###...#.########....#.######...####..#...####.....#........#..#.##..#.##.#...#..##.#.##..###..##.#.##..##..###..##..##.###..#######...#.#.#..#.#.#...###...##..###.#.###.####.......#.###.#..####.
..#...####...#...#####.###.....##...########.#.##..####.#.....#......#.#.#..#..#..#.#.......#..#...##..###.........#.#..####.#.#...#..#####.####..#..####..#.#...##.###.#..#.#.#.#.##..##.....######.####.###.##..#...#.##.#.###...##.#....##...#.####.#..##..###..#.#.#.#.#..##.########......#.####.#.#....#..##..#.#####..#..######..###..####.#...#.#..##.#.....###...#.####..##.##..#####.#####.###.#.#......##..#..##.##.#.#####...#.#....##..#.##...##...####..#####.##........#.#.#..###.##..#.##.#..#..#..#####.#.#.....#.....####.###..##.###..##.#.#..#.###.#.##.##.....#...#..#..###...###..##.###........#.#.#...#.#.#...##...#.#.##.#.#.#.##..#..#.#.###.#.#..#..#####.###.##.#######.##...#.##......##.##..#.#.#...#....####.##.##.#.#.##........#...##..#..####.#.#..##...##.##.....#.##.#.#....#..#.#.##.#..#.###..##..###..##..#....#.#####.#####.##.#..##.###.#..####..#####.##....#.#.###.#.#############.####.#.###.#..#..#..####...#..####...#.##.#...###....########..####.#...###.#.#..#..##.#..#.#..##........#.....####.##....#..##...#.##.....####.#.##.#.##.#..#.........###.##.##.#..##..##..##.###..#..#....##.##........#..##.##...#..#.#.#####.####.##....#.........#.#.###..###.##..###.#.#.....#...#.##..##.#####.#....#.##.#####..#.#.#....#...###...#######...#...##......######.#....#...######.#.#.####..##.#..#.##....#..###.#.#.##.##.##...#...#..##..######..#.#.##.#.#.###..#.###.#.#....##....#.##..#...#..##.##.#.#....##..##.#...###......#.#.####.#..#...#..#.####.####....##...####.###..###.#...#.#....####..#...##.#..#..##.#...#.######.###....##........#.####.#.#.#..#.#..##.##.##.#####..##..#...#..##.##.###.#...#..#.#..#.###....######..#.##..####.###.##...##.####...##....#....##.###...##..##..#...####......#.#..###.#######.###..#.##...#.#..######.#.#...##..##......####.....###.##..###.#..###...#.##.##..#.###.##.#.###.#....#.......#....###.#.####.####..#............#....#.##.###.##.####..#.##.#.#.#..##.##..#....#...#..###....####.#.#.#.#..#..##.##.###...###.###..#######....#..#.##..#...###.#.#.#..#
...#.#######.#....#..#..#.....#.#..##.###......###..#....#.##....#..###.#....#.#..#.#..##.####.###.#........#.##.#.....#.##...###..#....##.###.####..##..##...#.##..##..#.......#....###..####.#..##.####..#....#...#..##..#.#..#..#..##..##..#..###.##...##.#..#....#.#.##..#.#######.#.#.#.....#..#.##...#.#.#...###.....##.#.##..#..#..##....#.####..#..#..##..#..#.............#..##.##....#....##.#.#..###.#.#.#.######..######..#....##..####.####..##.#######...###.#####.###.###.##...#...##.....#..##.##..##..#...####..#.######.##..###.###.#.#..###.##.#.###.#....###...#.#.#.#.##.####.#..#..######.##..###...##.###.##..#..###..#..#....##..#.###....###.###.##...###.#...##..#..#.##.##....#..#...#.##...##.#..#..##...#...####..#.#..#.....###..#.#.#.####.#.#..###........#.#.#.#....#.##..###..#..####.#.#.#...##.#....#..#.#..#..#..#.#.#..####..#.###..###.#.##.##...#....#.#..#.#......###...#..###....#.#####..#.#..##..##.#...########.##...##.##....#..########...#.......#.##..#..#.....##.#.#.#..#....#.###..##..##########..##.###..###..#....#....###..#.#..#...#.#.##.####.#.#....##..#.....####.#...#.##.#...##...####....##.##...##.###.......##.##..##.#.#...#.##.##...#.#.###...#.#.##..#.##..##..###.#.#.####.####...##.###....#..####.###.#.##.#.##..#.....###..#.#...##...##..#.#.##.##.#.#..##..###....#.....###.###..##.#.###.#..#.##.###.####.###..####....#.###..##.######.##......##.#..#.#.##..####.#.#..#...###.#####...#...#.#.##.####..#####.###..#...###.#..####....#.#..##.##...#..##...###.##.#..##...#.##..#######.##.#.#.##.####.#..#...##.#..##..##..####..###..##.##..#.##..#.#.#.####..##.##..#######....#.###.##.#.#.#..#.###...#.#####.....#####.....#.##..#.###..###.#.##....#..#..#.#...####.####..#.#.##..#.####..####..#.#.....#.##.#.##.##....##.###.#.####.#.#.#......###.#....##.#####..###..########.##..#....#..#..#.......#.#..#.#...##.###.####......#.###..#...##.#.#.###.####.###.....#..#####..###.#.#.#.#.#######..#...#.##.##..##..##.####.#...###..#..#.##.###....###.####.###.###.#.##.##..##.#..###.##.
#.##.#...#####.#.....#..##.####.##.#..##.##.#.##..###.#.##.##..##...#####..#.###..#..#.#..###..####.###..#..#.#.###.###.#......#..#..#.##.#.#..#....#...##....###########....##.########..#.##...###.#....#..#.#...##.##..##.#.....#.#.##.......##..#...#.##..##..#..######.#...##.##.##.#.##.##..#....#.#.##.##.#.##.#..###.....###.##....##.#.#.#.#####...#.##..#.#.###..#.####..######.......##...####.####.###..#..#..##..##..#....##.#.##.#...#.####...#####....#...#.##...#....####.#.####.###.###..#.##.#......##....#####..#.....#.#.#...#.#...###.#.#.##.##.##.##..#.#.##.#.#...###.##..###.##.#....#..#..#.#####.##.######..#.#...#...###..#.........##.##.####...##.########.....#.####.#..##..#..####..#...##.#..##.##.##..#...#.####.#.##.#..####.#.#....#.###.....####.#.#.#..##.####..#...##......####...##.###.#.###.##......#.#.###.###.#...###..##......#####...###.##.#.##..#..####.#.##....#..#..#.###.#..#.##.#...###....#..#.##########.########..###..###.#.#..###.###..#.....##.#...#..##.#..#.#...###..#.#####...#..#.##..#.#.#.##.#####.#.#.#.######....####.####...#..#...#...##.##..#.##......#..#..###...#.##...#........####....#####.#.#.###.###.#.#......##.###..#.#.##......##.#.##.#....###.#.######......#..###...#..#..#..#.##..#####...####.##...#...##..#.#....###..##.#.#.###....#.#####..#####..##..###....#..#######.##.....#.#..##...#..#.##..#.####.##.###.#..###..#...##.#...#.#.........###.####.#.##.####.#.#.##.#.#....#####......#.####...#.#.#########..........####.##.#..#....#..#.#......#..###.#.#..#..#.####.####...#..#.#.####....##..#..#.##..#.....##.##.##...##.#..##.#######.#.##....#..##.#..#....###.####.#.#.#.#.....#.###.####...##.###.##.###.#.###.##.###...##..###.#..######.###..##..###..###..###.####....##.#..##.##.###....##...######......#.###..#.##.##..####.#..##..###.##..#..#.####.##.#.##.#...###.#....##.##..##.##.#...###.#########...#.###.#....######..#...#.#.....########.....##....###...#..#..###..#..##.#.###.#####..#####.#.####.#..#..##..#.#....#....##.##..##.##.......####..#..#.#.#
.....##.###.##.....#.####..#..########.#.####..#..#...#.#......#.###...######.#######...##.###.#.###.######.######.#..#...#.#####.#.##...###..##.#..###..##.#....##.#########.#.#.###..#.....#.##.##..####.#.###..##.##..#.##.#.#.##..##...#.####.#..##..##...###.###.#.#..#...##....##..#...#.##.#....#..###....###.#...######.#.####...##.#.#..##.####......#.#.###.#...##...#.#.####...#..#..######.##.#...#...##.#.....###..#....#...#...#...#...###..###.#..##...#.######.#....#.####.#..##..###.##..#....#.#.##.##.#......###..####.....#....#.###.##...##..#####..#...#.....#...#.##.#.....#.#.###...####...#.####...#.###.##...#.##.#.#.#.#..##.##.##.##.#.......#.#.#..#.#...#.##.#.###.#..#.#.#.#.##....#..#.##..###......#########.#.#.##.#..###.#.#.####.#.##.###..#.#..#.....#..#####.#...#..###.##..#.#.#....##.#.....##.#####.#..###...#.....####..#.#..####.#.##...##.....###.#.##.#...#.#....##.#..##.####..###.####.##..#....#..##...#...##.#...##.##.#.###..##..###.###..##.......#.#####...#..#..#######..#...#.......#...#.###....#######.##..#..#.###.####.#...#####..######.#####..#.##.#.#...#...#...#.##..#.##...###.###.##...#.#.##.#.#####.###..#..####..#.####.#....#.##.###.#.#..####.#.#.#..#...#....###.....#.##.##..#.#.#...#..#.#..##...###...........#.....######..#..####..#...##.###.##.###...#..#....######..#.###.##.#####...#....###.#..#..##.#.#######.#.##..###.#.##..###.#.##.###.##....######.##..##.#####.....#.#.#.###.##..#.#.#....#.#...##..###.##..##....##...#..##..#.#.#......##.#.##.##.#..#.#.....#..###..##.##...#..###...#.###...###.###...###.#..##.####....#..#####.######.#.##.#.###....#.######.#.####..####.####.#.#...#####...#.....####.##.#.##....#..#...#......#..#..##..##.##.#.##...#.......###.#...##....#..#..#.##.##.#.#.#...##..##...####....###..#..#.#..###..#..#..###....###..#####...##.#.###.#....###..###.#.#...#..#..#.###.##........#...#.#.#.##....#...#..###.###...#....####...#####..#..#.####.#..#..###.#.#.##.###....#...#..##....#.##...#..###.#####.###..#.....##.#.###..#..#...###.#.###.#.
#...##...#.#...#.#..######..##...#.###...#.##.##.#.####..###.#.##.#####...#....#.####.#.#.....#....#.#.#....###.##.###.#####.##.#.#.#.#.....###.#.###.#...#.#.#...#.#.#.####..###.###...#......##....#..#...#..#.#..###.###...#....#.###.#.#.#..#.....#.##.#.#.####..##.#.###...#.#......#..#####....##..#...###.#..###..#...#...####..#.#.###..#..###..#....##...#..##...##.#.#...##.##....####...#.#.......#.####.##.#####.#.##..#####..##....#.#.######.......#.###.###..####.###....#....###...##.#...####..#..##..##.####..###..#.#.##.#..##.###...##.#...######.#..#..###..#..####..#.....#.#.#.######..#.#.....#.#.####..#.#.#...##.##...#..####..#...##..##...#.#......#.####...#..###....##.#.###.##.#.#.#.###.##..#..##.#..#.....####..#.##....#..#..###..##...####..##..#.....#.##..#...##...###..##...###.....###.#.#.#..####..####.##....#.#...#.....##...#...####..#......##...#....##....#.##..#..###.#...######....#.###.#.#...#.##.#.##.###.##..#.#.##.###..#...###......#####..#..#..##...##...####.#.##.##......###.#...##..##.##...#..#.#.#..###.###.###...###.###.#.###...##.####..#######.#.##...##...#....#..##...#.#.#.#...#.#..####.###........####..#.##..#...#..##...##...##........##.#....#.###..#..####.#..#.#.#...#......##.#####.##.#..#.#.####......######.###...##.####..#.##......##.#.......##..#.#####..##..####.####......#.##.####..###.#..###.##.#.##.##.....###..###..##.#.#.#..#####...###.#....##....######.###.##..#.#.##.##...##..#.##...#.###..#..#.#...########.#.#####.#..#..#...#.#.#.#..##.###...#..##.#######.#....##.#...#.#.##.#.#...#..#...#.#.########..#.##.##.#####.#.#...##.##....#####..####.##.......#.#.#####.....##.#.#......#...#..#......##.##.#.##.##.###..#.##..###.##..#..##..#....#.#.##.#.######.......##.#..###.##########.###.#..#..####...###.##...##...#..##.#.#.#...#...#.###.#######....#...#.#..#.#...##.#.###.##..#.#....###..###.#....#.##...##..#..##..#.###....##....###...##.###.##...####.....###.#...##...##.##.###.#..#######.#####.#.##.##.##.####...####.#..#.#..#######.###.#..#..##.##..
#.##.##..#..###..#.##....##.......##..##.#..##..#...#.###.######....#.#.##.#####....##.....##..##..#.#.##.#.#.#.##..#.#.........#..#.###.##..#.####.#.###.##.###.#..####.###########.##..###..###.....#..####..##...##..#......#.#..#..#......#..##.###.#.#....##...#.#..####..##.###.#.#.#.###.##..###.#.#..###.##.##..##.#####.....########.#.#.......#.##.#.#.#.#####.##..#.#....####.#..###.#..##..######..##.#.####..##.##......#.##.###..##..###.#...#.....#...#...##.....#.#...#...#..#..#..###....#.###..##.#....###...#..##.####..####...#.#.##...##...#..#.#.#....##..#.#####.#######.#####.##...##.#####..#.###.##.#####.#..#.#...####.#.##....#.##.#.#..#.##.#.##.##...#..##.##...##.##..##...#....#.#..#..#.#....#.##.#...####.#.#.#..##.###.##.##...###.#....####.....######...##..#..#.##....#.##.#...##.#...#....###.###.#####.###...##..#.###.#....##.#.#.#..####...#.##....#...##..##..#.#...#.##.#..#...#.#.#.#.##.##.#######.....##...#.#..##.#.#...#.##.....###.###.###.#.#.#.##.#..##.#..#.#.###.#.#.#.####.#.#.##..##...##.##..#.#..#.#..####.##.#..#.#.....#...#..#.#..#.#.#.##.##......#.#.###.#.###.......###.....##.#.##.#.#.###..###..###.###.#.#.#..#.#.#...#....#.#...##.#..###.#.#.###.##.##.#.#..###.....#.#.#####.#####..#.###...#.##########....###..#....####.#####..##.#######...##..#...##.#######.#..#..#..##.#.#####.##..###...####.#....#.........#..##...###.##.#.#.##.##.##...#..##..#...#.#..##..#.#.#..#.#.###...#..##.#..............#..#.#....#..###.###.###.##.....#.##.#####...##..####...#..####...#.#.###.#.#.#####...#.##.#.##...###..#....###..#####.......##...#####.#....#...#...##..#.#...##.##.#.####.#.###.###.######.#.#....#...##...#..##.#...####....#..###..#...###..#....#.#..#######.###..#....####.#......#.###..#....#..#.#..###.#.#.####..###.....#.#..#.####..#..####.##.#.##.#...######.#.##.##..#.####.#.#.###...#..#.....####...##.####.####....#.#..#####.#.##...#.#....#..#...##.##..##.....#..#...#.....#####..#..##.#####.##..#..####.#.#..#..##.##..#.#.#..#.###.#.#....###.##.####...#...#.###....##
#..###.#..#.##...###...##.#.##.####..##.#.##...####..#####.#....#......#...#####.##.#####..#..##.##.###....#.#...#.....##....##.#.#.##.#.######..##.###..#..#.##..##..#.#....#.#####.###.#.###.#.#.##.##......#..##.#...#.##.#####.##.##..###.##....###..#.#...###......#..#..###...##...........##.##.#..#..######....#.####.#...#..#.####......##.##....#.###....#.....######.##..#.#####..##.....######..##.....####.#.#.#.####.###.#.#.#...#.###..#..##.#..###..#..#.#.##...##.##..#####..####..#.####...##.######..###.#.#.##.#...#..##......#.##..#.#....#..#..#..#.#..##....#.....#.#...####.###...#..##..##..####.#....######.#.....#..#..###....#.#######..##.#..#.##..#.#...#.######..###..#.#...##.#...#####....##...##.#####.#...#.......##.#...##..#....####..###..###.#####..#........##.#.....##..##.#.#.#....##.#.#..####.#..##.#..#.###.#.#..###..###.#####..#..####..####....###..#.#####...#.#.#.###...###..#.#####...##..#...#..#####..##..#....#..#.....#..#......#.######..#.#....##...##.....####...#..#....####.#..#..###.#..#....##..##.....###...#.#..#.##.##.#...#..##.#####.##..#.###.#..#.#......#.##....#.#.#..#....#...######.#.##.#.###.#.##.#...##.#..#.#.##...#..#.#...#.###..#.##..##.#....##.######.###.#.#.###.#..###.#####.##..##...####....#.###....#..#.#........###.#..####.#..#..#####.#.##...#.#.#..###..#####..######.#.#.#####.#....###..##...#..#.#.#..##.#.###......###.########..##...#.....#####..#..####..##.#.#..###....#####.#.###.###.#####.##.........####.#....#.......##...####.#..#######....##....##..#.#.#....#.#.#..##.##...#.##...##...#.#.##..#..##..###.....####...##.#.##.#.....#####.#...#.#...##...##.#.#...###.#..##.##.##..#.##...#.##..###.#..##...###.#...#.#...####.#.######....#.##.......#.....##...#..##.##..#...####.....##....#...##.##..##...#..#..#..#.#.##..####..###.#..#...#..#####......####.#..###.####.#....####..###.###...####.#.......#..##.####..###..###.......#...###.###..#..#.##.###..##..#.#######...#....###..##.##.###..#..###.#.#...############.....###.#..#..#.#..#..#...#....
#.#...###..##.###.##...##..#..#.#..#...##...#.#.......######....#...#..##...#..##.....####..#.....#..####..###.#..#.#.#.#.##......#.#.##..#.##..###.#...##.....#.#..#..#.#.#.#.#..###.#..#.#..#...#.#..###..#....#.#.....######...##.#.#####.###.#.##..#.####..#.#..###.##.#..##.#.#.#.####.##..#.###...#.#..####.#..#.#...##.##.#.#.#.##..###.#.##....##..##.####....###.##...##.#......####.#.#...##.#..#.....#..###.##.###.#..#.###.##.##.#.#......####.##....#...#.#.#.##.#..##.###.#.#####.####.#..###.#..#....#...#.#.#..#.#.#.##.########..######.#..##.#####.#..#....###...##.#...##.#..##..##.##.#.##.#.##.#....#..#...###...#.##...#.#.#.#####....##.#......#..#.#..##.##..##.##.#.#...#.#.###..##.###.###.#.....###.###.#....#..##..#.#....#.###.#..##....##.#######..#..###....#.########.####..#####.#.#....###........##.###.#...#.#.###....####..#.#.....#.#....##..#..#.#.##...###..#..#.####.##..#.####..#.#....#.#..###.#.##......#.###...#####.##....#.#.##.##..####.......#.##.#....##.#.####..#.#........#......#...#.##..##########.#.#..###.#..#...##.##...####......#.#.#.#..##...##.........###...###.####..#....#...##.#####..###.....#.#..##.#..###.##.......#..##.##.##....##..#..#.####.##..##..###.#..####.##.#.#...##.#####...####.#..#.####.##.....#.###...#.##.##.#.####.##..........##.##.##..###.#.##.#..####...#.#..####.##....#..#..#...#.##.....#..#.##....##.##..#..#.#..##.#####...#.#.###..#.##.##.#.#...#.#.#.###...###.##.....##.#..#..##.##..#####.....#.#.#.###.#.#.##.####.######......#.#.#...#..#...#.#..####...####..#.##...##..#.##.###.#.#.###.#..####...#.#....#...#..#..##...#.##.#.#.##.###...####......#.##.###.#.#########..##.######.#...#.#.###.#...#...######..##..###.#...#..###.#####..##.....#####.##..#..##.#.#...#.######.#.#..###.#.#.#.###...##.#.##.##.##...##.#.#.#.....#####....#.#####.#.##.#.####.#..#.####.##......#...#.#..#...###.#.#..#...#..#...#....#.#.###.###..#.##.#.###.####.#####...#######...##....#........#..#..##...##.##.#.#.###..#..#.#...#...#......#...#.##......#...#.#.#....#####.##
..##..##..#...#.#..####.#......##...#.#.#....#..#.###..#.....#..########....#........#.##.#......#...#.###...#.#####.#...##...##.....#.#.###...#####...#.#..##...#.#.###.#...###.###.###..#.#...##.###...#.######.#####.#.###.#####..##..#....#...#....##.#..###...##..#####.#.#.######...###...#..#.#.#.#.###...##.#####.#.#...#.##.#.###.#.##.#####.#####...#.#..##.###.#.###.##.#..#........####.######...###.####.#.....#....#.#..#...###.#..####..#.###..##..#..##.#.#######.####....####....#####.####....##..####..##.#....##.###...##..###...#####.##.#.......#.##.#.#.###.#..#....#.##...######.####.#..##....#.##..##..#.#..#.######.###.#....###....#.#..#.##.#####..##.#.#...#.#...#.#..###..###.#.##.####..#.##..#.##.#.#.........##..#.####.##..#..####..###....##....###......#.#.##.#...#....####.####....##.#...##.#.#..#...#.###.###.#.#.####..#...#...##.....#######..##.#..##.##....#.#..#.#.###..###....##.########.#.##.##....#...#.#.#.##...####..#.#.###......##.#..#..#.#...#.##...##.#.#.#####......#.##.#.#...##.#.##......#..#####.##...##..#...##..#...#.#.##..#.######..........###.#.#..#....#.#.#.#.###.##....###.#...#.#.#..##...##.###..#.#.#.#.#.#.#.###..###.###..##.#...##....##.#.....#.###.####..##....#.#...###.#.#.....#.#..##....###..###..####.#..##....####.##.###.##.#...#...#...#..###...###..#..#..###..#...#......########..#.#..##....#.#..##.#.##.#....#.#...#####....#.#.##..#.###...#..#.####...##..#..#.##..###.##..##.....##..##...#..#..#..#..####....#....#...##.#######.##..###.##..###.....#..####..#............###....####..#.#.###.#.....##.##.#.#..#...####....##..###......#.#.#...##..#..#.#..##.#.#.#..#..##.#.###..###.##.#...#....#..##.###..##.##.#.##.#.#.####.#.###....#.##.#.......#.#.#####..##......#...#...#..##.#.....#.....#####...#.##.#.#...#...#....#.#.####.#.#...#.#####.#..#...###....#########.#.##..###.##.#.#....####..####.#.###..###.###.#############.##..#.#..#..#........##....##.##.#...#.#.#.#..#.#..##..#.#.#..##..#....#..######.##...#.#.#...###..###.#....#..#.##..######.#.###.
..#..#..####.#.#.#....#..#.##....#######...#....##.#....#.#.....####..###...##.....#..#..#..##.#.#..###..#.....#...##...#..##..##..#..#######..#.#.......##......##..##..#.##..#..#..#.#.##..#.##......#..##...##...##...#..#..#.#..#...######.#..#..#.###.##...#.#.#...#.####..##..##..###.#..#.##..###..##.....##.#..####....####.#..#.##.##.....#.#.#..#.#.#..#..#...##..#.#...#..#####.###..##...##.##..#..##..###...###...#.#.###......#..#.#..###....##.#####.#.##.##.####.###.###..#.#####..####.#.###.#####.#.###.#..###..#.#.#....##.##.###.##.##..##..########....#.#......#.#.....#.#######..#.......##.##..#######.....#...#.#.#.#..#..##.#.#.###.#...###..#.#.#.#####.#....##..#..#.##..#....#.#...#.#######.#...####.#.#####.###...#.#...#..#.#.##.#.....##.#..#..#.###.###.###...#.###.....###..#####...###.#.#..#####..##.##.#.#.#.#.##.######.#.#####..##.....##.#..#..##.#...#.####.###..#......##..#..#######..#..#....#####..##.##.#....##.#...##.#.###.#.#.#.####...#.##...##..#.....#.##.....##.#.#.#.###...#.....#.######..#....#.#..#.....####..#....#.###.#.#.##...##..#..#.###.##..#.##..###...#.#.#.##.##.###.#.#...#.....####.#.##.#...##.##..#.###..#.#..##.#.#.##.##.##.#..#.##.#..#....#.#..###.....#..#....#...#.##.##......#####.#...#.##..#.##....#..#...#..#..##.##.#...###.###.....#.##..#.##.##.#..#####.##..#....#.##.##..##.#..#.#....#...###.#..#####..#..#..#....##..#.##..#.#.##..#.#.###.##.##..##.#..#.#..#...###.##.#.#.##.......#...#...##.##...#.##....##..#####.##...###....######...####.#.#.####.#.###..#.#.####..#.##....#.##.....#.......####.####.#....##....##.##.#.##.#####...#......#.##....#..#..##...##..###.###..#.#.#..##.###.#..#..........###..##.#...########.####...####.##.###..#.####...##.#..#.....##.###.###.#..#..#....##...#.#...#...#.######..###...#.##.##.##.###.#...###.##....#.###.##.##..#.#.#######.#.####..####..##.#.###..##.#..#.##..#.#....##.....##...##.#....#..##.#.###....########...##.#####...##.#...####.#.....##...#..#........####.#.#.#.####....###...#.###.##...#.#.#...#...###..#..
##..####.....#..#.###..##.#.###.#.###...#..#....#####.#...###.##..#.#.#.#..#...#...#....#...#.##..#.#.######.##..###.#..###..#.#.#####.#..#..#..##...###....#.###.#..#.##.###...##.#####.....##.#..##...#######..#.##..#.....####.###.#..####...###..##.##.##.#.#..#...#####.#.#..#####.....##...###.##..#..#.#.##.#.##.........#.#.#....#..##..##..##....######.#####.##..#...#.#....#..#......##..##.#.#.#..##..#..#...##..##..#.#....##.#..#.#..#.##.##.##..#.#########..#.........#..##..#.##...##.###.....##.......#.#.##.#...#..........###......##.###.#...#.....##..####....###.#.#..###.###.#.##.....#...#....###..##.....##.#..###...###.#..#...#.##.#.#.#.....###..##.##.##..#.##.#...#####..##..#.....##.###...####.##..####.....####.####.#.###..#####.###..#..#.#...#.#.##.#..#.#.#.#.##.###.#...##..##....###.#..#.#....####.#.#..##.##......#..#.#.#.##.#.##..##.#..###.###.#..#.....##.#.#..###..##...##....#..#.##.#..#.#####..#.#...#..#.#........##......#..#......###..##...#.#.###..##..#...#.#.......#.#....#.#.#..#####.####.#..##.#.##.##.#.#.#.##...##..#..##.#.#..#...#.##..####..###...##.#..#..#..#....##.#.#...#####.#...##.###.#..###.###.####..#..##.....#.###.####..##....#.###..##...###.####.#####.###...#..###....#....#.....#...#........#.####...###......###...##..####.#..#..##..##.#..##..#.#.###..#.#.#..##.#.#..#..##.#....##.#.####.##.##.#.#..#.##...###..#......#..##..#.####..#.#.##...#...#.######.......#...#.#..##.##.######.####..#....#####.#....##.##..##.##.##..##.#.#....#####.###.#..#.#..#.##.....##..##.###.#..#..###...##.#####.#..##.#..####.##.##.##.#####..#......##.#....#.#######.#..####..##.######........##..####....#.###.#..###.#.#....#.##..###.......#.#...#.##.#..#..#.#.#..#.#.##.##.#.#.#.#.#.#.#.##...##.#.#.##..........#...#.##.#..#...###.####..#.####.###.#...##...#.#..#.....#.#.###.............#.##..###.##.##..#..###.....#.#...##..#..##..##.#.#..#.##.....##....#.#.####.#.#.###...##.#..##.#....##...##.#...##.#.#.#..#......##.#..###.#.##.##.#.##....#.##......#..###.##.....##.##..#.##
.......###.##....##.##.#...####.##.##..##..###........#.###..##.##..#.#...#.###.##...#.#..#.##.#.....###.###.######.###...#...#..###..####.#...#...#..#####.....#...#.#.##.##.#..###.#.....##.#.##..#.#######.#..##.#....#.#...#.#.#.####..#..#..#...#.#.#..#....#..###.#..#....#.####.###.####...#######.#.##.#...##.####.#..#.##..##..##..##.####.....#...###......#####..#.#..##.#.......#.##.##.####...#..#.###.#..#...#....#.##.......#.#.....#.##.###.##.##..#...#....####...#####..####.#.#.####..#..##..#....#####..##.##..#...##....##.#.#.##...#.#.#...#......###.###.#.#....#.###..#.#...#####..#..#...####....###...#..#.###.#...##.##..#.##...##.#####.#..#.##.#.....##.#..#.###.#.###.#.####.#...#..#.##..#.#...##.####.#.######.#.#......##.#..###...#..##.#.#...#.....#####.##.##...###..###....#........##.#.#.##....##.###..####.#.##.#.#........#..#.#.##.....#.......#.#####.##...#...#.##.##.#...####.#..##..#..#####.##..###.##.#...#.#.##..##.##..###.#.#.#.#.#.#.##....#.....##..#####.###.#..##...#..####.#..##.###.##..#....#.......##...#..#.##.####.#.##..#######...........###.####.##.......#.##.###...###....#####.#....#...#.##......##....#####.##..#.##.#..#.#..###..#####..#.##..##..####.#..##....#..###.#..#.#.#..........##.#.##..##.#..##.#..#....##.#..######.####.##.####.####.###.#.###.##..#...#....######..##....##..#..##.##...#.....##.#.#.#...#..#.##...######..##.#.#.####..##.#...#.#..#...#.##.##...##....#.#..##.#....#.#.####.##.#.........#.#..#..##.###..#..#..#..#....##.###..##.#..####...##.....#...#...#...#.####..###.#####..#.#....##.###..#.#..#.#.####..#.###.##..#..#.#.#..#..####..###..######..###.##..#.#.#######..#.###....######.....###.###..#.....#......#...#..#.....###....#.###...#.##..#..###.#.###..#.....#.##.##########..###.#..#.#.#.#.##..#..#..##...#.#..#.#.###.##.#......##....#..#.#..######.....#####.#.#......###....###..#.#.###...##.######...####..#...#....#...##..##..#.##.#....#.##...#.....##..#..#.#.##...#..#.##.#.#####.##..###.##....#.###.###..###.#...###.###.##.#..#.####.###
#..##.#.##...##..##.#.#.#..#.##..#.########.#....##.....#####.......#.#.#...##...#.....###.#.#..#####..##.......##..#.#.###.#.#.#####.####.#....#.##....#.#..#####.#.##.####.##.#.###..#..###..#.#.#...####.##.##..####...##.#...#...#######..#..##..#.##..#..##.##.####.#....#..##.##.#...##.###.#..########...##.###..#.###...#.#...###............#.#..##.##...#.#######.##..#..##...##.######.###.##.##..####.###....####...#.....##...###..###..#####.###.####..####...#..#..#....#..###.#...#.....####.#.#.##..###..#.###.##..#..###...##.#..#....#..###..###.#.#..#..###.####.###..#..##...#...#.##.#..####.#.#...#.#..#####.##..##.#.....#...#.#..#...#....#.#..######.####...#..#.#....####....#.###.#..#.#...#.#.##......##.#.###...####..###....##..#..#..#.....##.#..#.##.##....###.#.##.....#.###.#..###.#...#.####.#..##.#.#....##..##.#.#.#####.#.####.#..#.###..#....###...##.##.#.#...###..#####..##.###.#.....#######..#.#..###.#.###...#.##..####.#.#..##.##...##.###..#.##..#..##.#..#.####..##.#.#.#.####..#..##...##.###....###.#...#######.#.####..##..#.##.#.#.#.......##.....#..##..######.####..##.###....###.#.#....##.#....#....#########.#.#...#..##.#...##..#...####..#..#....#.###..#...###.##....#...#.####.....#####....##.......#####.#.####..#.#.###.#.#.####.##....#..#...####.#...#.....###...#.#...#..#...##..#..##...##.##.#.....#...#..##.##...#..##...###..#.#.#......##.###.#..#.###..###.##.#..#..##..###.#.#####.##.##.##.#####.#.###.##....##..#.####...#.#.#..##.###..##..###.####.###..##.####...##.#.#.#.####.#####.#.##..#..####...##.####..#.....#..######..##...#.#..#..#...#..#.###.#...####.#.#..#.#.##..####.##...#...#..###.##.##..#..##.#.###.####.##.....##.#.#...###.####..####....#.########.#...##.#...###.#.##....####...#....#..##..........##.#...#.#........####.####.####.#..#......###.##....#.#.#..#.####.##.....#...##....#..##....###...#.#.#.##..##..##.#....##..#####.###..#...#####.#.#####..##.##.##.#####..##.#...#....#..##.#.#.#..##...###.#..#...########...#...#.####.##....#.#...#.....#####..###
...#...#....#..##...#...#....#.##.....######.#.#.###.#...#..#####.#..#......###..#..#....#...#.#.#.##.##..#..####...##....####....#.#.#.##.#...####...#....##.#..##..##.#.##.#..#....#.#.#..#.....##....####..#.#..##.#.##.#.#....#...###..####.......####.##..#....#..##..##...#...#.######.##..#.#.###.##.#.##..#..#.......##..##.##.#......#..##.#.####.#.#...####....##.#.###.#######...#..#..####..##.#.#.##.##..#######..##.####..#.##.#..#.#.#.#...###.###..##.####.##......##...##.##.#..#.####.###.#.#..#.#.#.##.#.#..#.####.###.#.#......##..#.#..#...#######..###...#.#.#..#.#####..##....#.#..#.#..######.#..###..#...###..#.#.#.#.#.#.#..#.##....####..##.###.##..#.#.###..##...###.##..#.##..#####.##....######..##.#..###....#.###..#..###.##.#.#..#.#..##.###.#.##......#..####.#..######.#.#..#.#.....##...####.##.###..####...#..#####..#######....##.###...###..####..###..##..#...##..#.######.#.#....###.....#.#.#.##..####....#....#.#####..###...##.#.#..#.##..#.#####.##..#.#..#.##.#.##.##..##...........###...#.#.#..#..#...##.####.#.#....#####..#.##.#.##....#..###.#.#.##.###.###..#.#..#..#....#.#..#...##.#...##...#.#....#...##.#..#.#...#.##...#.....##......#.###.##...#...#..##.#####...######..#..#.##.#..#####.###..#..##..#.##.#....##...#.#.#.#..#####..#.#.....#..######.#..###...##.####...#..#..####.#.#.....###.#.##.##.......##.##.##.#...#...#.#.###.#..#.#.#..#.###....##.#.###....##.##....#..#..#..#......#..#..#..#.#.##.#.#####.#.###.#.#.##.#..#..##.......#....#.##.##.#....#....###.#.###....###.#..##.#...#.#..#...##.....##.#..##.#.#.####.##.....#.#.#.#.......###...#..###.#.##.#....##.###.#.#.#..####.#.###.########.##.#.######..###.#.#.#...#.....#..#....#.######...#.##.##.......#####..#.##.#.##.....##..##.#..#..##...#.##..###....#####.##.#..###.#..#....#..#..#####...#.##..#.##..##...#.##.#####.##.#..##.##.#....##.#....#..####.###....#.####..#.#.###.##.##.#.....###.....#.#....##..#..........#######...###..#.#..#.#.###.##..##...###.##.#.#.#..###.###.#.####..#..#.#..#.####.##.#.###...##.#.###.##
..#...##....#######.####.#.####..##.###..###.#.#..#.####.###.##.#.#####..###...#.#.#.#######.#..#..###..#.####...#......##..#..##...###.#..#......#.#.#..#..##.##.####......#..#..###.##...##..#..##.##..#...#####......##.....#..###.#..#.......###.###..####..##..#.#####.#..........#..##.##....##.##...##.#.####..##..#.#.#...#.#.#...#....#.##..#.##..##.#.###.###.#..#..##.##.###.#...##...####.#.###.##.....###.###.#..##.##...##......###.........##.##.##...##..#.####.###..##..##..####.#...#.##..##.##.#....#..#......#..###.#.#..#.##....#.#.###..#...#....#.##.#..##.#.###.##.#.#.##..#.####.##..###..###...#.#..#.######....##..#..#.###.####.##.###.#..##...#....####.##.#.#.##.#.#####..##.#.#.#########.......#....#...##....######.###..####.#####.....###...#..##.#..##.##....#####.####..###......#.#####.##..#######.###..##.#..#.#######...###..#..#....#.##..#.#.##.###.###.####...#..#..###...#..###.##...##.........#.#..#.#..###.###.#.##....#######.#...#.####..##....####....#.#..##.#.#.#.###..##.###..#...##.#.###...#.##.#.#.#.#.##.##.#.##.##...#...#.#.##...#.#.###.###.....#...#.#.####.#.##..##.####.......#...#....###...##...#.###...####.....####.#.#.##.#.##.#.##..##.##..##...#.##.#..#.##...#...###.##.#.##.##...#..#######.#..###...##.#...##.##..###.#..#.####...#....#.###..#..##.#.##..###.##.#.##.####..........#.#..##.##...##..##..#.###..###.#.#....##.##...#.##...##..###.#.###..#.#.#.##.#..##....##..##........#..##.###....#..###.##..##..#..#..##...#..#....#.##.#######...##..#.###..##.#..#.#.#...#....#.##..##..###....#..#.##.#...#####.#..#.#.##...###.#.##.#....##..###.####.#..##.#...##.#.#########...#.#..##.###..####.######.#.....###......#....##...####..###...#...#.#..#...##.#..###...#######.#.....###....##.####..##...........###..#..##......#.####.####.#.###.#.##.#...##.#.##.#...#####...###...#..#..###########..##.....#.#...#.#.##.#.#.#......###..#####..##..#.....###.#.#.#.######.###.####.##..##.......###..#..##...##.#####..#.###...#...#....###..#####.#.#########.#.##.#.#.##.#...#.###..
...#.######.#..##..#.######..#.##.##.##.#.#.....#.###..##....##.#..#########.###..#....#######....###.##.#.#.#####...#..#.######.##.#.##.###..#.###.#.##.#.#####.#....######.#.#####...#.##..##..##.###.#.###.##.##....##.##..#...##.#.#.###.##.....##....##.#.......###.#.##...##.#..##.....#...#.##...#.#.##.#.#.....#.##.#.#..##...##..##..#..###..#.....####.#..#..##########...##.###.....##.....#......#####.#..#..#...#.#........#.#..##.##..#.##...#.#.#.....#####.##.#..##.##.#.#.##..#.###.#.#..#.#.##..###.#.#######.#.#.##..##.####..#.####...#.##..#.#############.#.....##....#...###..###.#.##.##.##..#...#..##..###.#.#.###....##########.#.#..#.#....###.#.....##...####..###..####..#.###.####..#..#.....#.####.#..#####.#.###.#####...#..###.###.#.#..#.#..#...##.##...#.#...#.##...###...#.##.##......##..##..#.#..#.###...###.#..#..##.###.#..#.#..#.#####.#.#.####.....##.##.##..####.#.#####..#####..####....###.....##.#.#.##.#.#.##.##.#.......#.#.##...#.###...##.#####..####.###.####..#..####.###..###..#.##.##..##.#...#.##..#..##..########..##....#.#.####.#.#.#.###.#.##.#####...#...#..#...##..####..##..####...##..##...#.####.#.####.###.#.#.#.#..##...##........##...#.####.###..###.#..##....#.##.##.##...##.#.###..##.##...###..#.#..##.##.##..###.#.##...#.#..###.#####..#..#####...###...#..#####.###..#.##.#.#.#....#...#.####.####.##.##........#..#####.#........#..###.#.#..###.###.......#..#.#.##...#..##..#...#.#......###..#..#...#.##..##.##.#..###.#..#..#.#####...#.#####..#.#..#...#####.##..####.#..#...#.#.#.#.#..###.#########.#######...#..#.##.####.#.#..##.##.##..########..#.####..##..####...##..#..####...#....#.##.####...######.##...#..#.#..#...#.#.##..#.##.####..###.######.....###.###..#.#####...###.....#..##.#.#.#.##.#.#.#.##..##.#...###.#....##..#.#..#####......#..#.#.####.###..#.#####.##....#..#.###..#.#..#.##....#..####...##..#.#..#.###...###....###.#####...#.#.#########..###..##..#.##.##.###.##.##...##.######.#..#..###.#.#####......#..##.###..#.##....##...#..#...##...##.#.#..#####....
.#..#..##.#..###.######...##.##.#.....##.##.###..###.###.##..#..##.#.###.#.#..###...##.###..#.###.#..#..##.##..#.####..##.###.#.##.#.####..##.....###....###........#...#.######..##.....#..#.....#.#...#..#...###.##...##.####.#.##.##.....##.##.#..#.#.#........##...#..#.#...###.####........#.#.####.....##.#..##...#.#####.####....##.....##...###.#.#.##.#.#####...#.....#...#.##.#..#..####.....#.#..##.#..#.#.##.#.#.#.#.######..#....##....##.###.#...##.#....#.##..#.#..###...###....#.#...#...##..##.#####..#..#.####.##....##..#.#..###...#..###.#....####..#.#.....#..#..##.##...##.#..###.##.##.#####..##.##...###.##.##.##.#....#.##.##..#.....##.#.##..#..########....##.....###.#.##.#....#.#..#..#...##......##.#.###.#.#####..#.#..#..####.#.###..##....##.###.....#..#..#..###.###...##...##....#..#.#..##......##..###....##.##..##.#..#.#.#....###.#.#..#.#.#...##..#.###.####.######...#.###..##.###.##.##.#...##..##...#.##.#...###...##.##.#.##..#.#.#..#..#.#..#.#.##...#.#...#........#.##..###########..#.#..##.#....#####.###....#...####.#..##..#...##........#.#..###..#.##..###...#..##.#....###..#.####.#..#..#......#.#..######..###.#..#####....##.#.##.#..#.#.##..#..####.##.##..#.##..........#.###..#..##..#.##.####.####...##..#...#.###.##..#.###...##..#.#.##.####.#..#..##.....##.#.#.#.#.#....##...##.#...###.###.##.#.###.##.###..######.###.###.##..#.##...#.####.####....##...#..#.#..###.#.####...#..###...#..#.....##...#.##..#.#..##......###.#.#.#.#.#.###.##.....##.##.##..#...##..####.##..#.#....#.####.#....#..##..###.........#..#.##..##......###.###.#.##..###.#..####..####.#.##..#....#.....##.###..#.#.#.......#......##.##.#.##.##..#..#.##..##...#.###.#..###.#..##...#.###.#.#.#.#.#....###.#.##.#......###.#..##.##.#...##..#.#...##.#..##.....##.#.#...##..##.#...#....#..###.#####.##.###...####.#..#..###..#.##..####....#..#.##..######..##.#####..#..##.##.#####.####....#.#.....##.#.##.#.#.......###.#..#####.#...###..#..##.#..##.####.##....#.#.##....#...#.....##..##....#...###.##..##..###....#.#...
.#........#...##..#.#...##..#.####.##..#.#.....#.....##.###....#.#.#.......#.#..##.....###.####.#.....##.#..#..##.#####.##.....#..###.#.#.#.####......#.#...#..#.###..#..####.#..#.....##..#..#.#.##.#..####..#..##.##.#.####.####...##.##.###.#......#..###.#.#..####.#..#..####...######..#..#.##.#.#.#.##......###.###.#.....###..#.####..#.#####.#...#...#.##..#..#.#..####.......##.#####...##.####..###.###...#.###.###.......##.###...#####...#.##.###.#..##.#..###..#...#..####.#.#.##..##.#.##..#...#..#....##...##..#.#.##...##....#....#..#.#....#.#..###..#.#..##.##..##.#.#.#.#....##..#.##.#.##....#....#..#.#.#..##.#..#..##.###.###.#..##.#.##...#.#..##.#.##..#####..#.###.#.########.#..#.###..#.....#...###..#..#..#####.#..###....#.#......#..#.#.#.###.#.##.....#..#.####....##..#.....#.##.####..####...#####....#....##..#.#....#..#####..#####......##.........#..#..#.#.##.....##.###.#...#.##.##...#.#..###.####..###.#.#.#.#.#...##..###.#....###.###.##..#.#..#.#......##..........#...##..#...####.#.##.....#..#.##...##.#.....#.#.####.###.#####...#...#..#.#.###.##.##.#.#.###.#####..##...##....#..##.#..###.#.####..#..########.##.##..#.#...####...##...#....#.#.####.#...#..###.##..#..###.##.####........#..###....#.#.......#....#.....####....#.#.##....#####......####....#.#####.###.#..#.###...#.##.....#...#.#.####.........#.....#.#....#..#####.##....#.#.#.#.....##.#####.#.#....#.##.##.##.#..###.#.##.#.#...#...#.#..##.#.#....#####...#.....##..##.####.......#.#.#..#.#.#.......##.....##.#.#..###.#....##..#.####..#######..#####....#..#.##...#...##..###....##..###.#.##...##..#.###.....#.#.#..####.#.#.#.#.....#..#.#......##.##.#.##.##..#.###.##....#.##..##.##.###..###.#.#..#.#..##.#.#.#.#.#.#########...#..#.######..#.##.###.#..#..##.#.#..#.....###..#.###.##.#.#..#.#......###......#.###.#....#####.......##..#...##.#.#...###.#..#....#...###...#.##..#........#..#....#.#....#.#.###.#########...##.#.#..##..#.....##....##..#..##..#####..#.###.#.......#.##.##.#.###.#.#.#...##.#.#####...######....##.#.#..
....#..#.######....##.#..#.##....#####....####.#..##.#..##.####....##.####...###.#..#..##...#...##..##...#.#.###.#.###..#..#####...##.####..##...####.......#.#.#.....#.#...##.##...##.#.#..#.#..#.##.#..###..#..#....##.##.##..#..#..#.##.#.#..#.#####.####.#..#.....#.......##.#...##.#..####..###..#.#..#.#.#..#...#...######..#.##..#.##..#..###...#...###...#.###......###.#.#.###...###..##..#.#.#.#......#..##....###.#...#####..##.#.#########.#.#.#.#...###.#####....#.##..#.#..#.#....#...#.###.##.#..#.######.###...###.##.#..##.###..###....###..###.##.##....##.#.#...###....#.###.##..##.#...#.##..#.###.##...#..####.#.#####.###.###..#.#.#..#########..###.#..##.#..####.......#..#.####......#.###..###.#...####.###....##...#.##.###....#..##.#.#..#..##......#.##.##.###..........##..####..###.#.#....#####.#..##.###.#####..#.###.#..#####....##.##.###.#####.##.###..###.#.#.#....###.#.#.....####..##.###..#..#.#.##..#...##..##.###.#.........#.#.#...##.#.###...#....###.#.###.#.########...#.#.#...#####.###.#..##....###...#..#....####.#.#..##...##.#####.#.##..#.###..###.#...###..#.#.#..#..#...#.###.###..####.##....#..##.#####...#.#..#..#.#....#..##.#.#...#...#..##.##....#..#.##.#..###...##.#.#.##....#.#..###.###..#..##.#.##..#.##.#.###.#.##..#.##.#####.##.###.####.#.####.##..###..###.....####.#....##...##.##.#####.#......#.#.#.#..#.###....##.#.#.##..#..####..#.######..####..#.#....#.....##.#######...##.....#...#...#.#.##...#.##.##.#.##...#.#.#...##.#..#.#####.##.##.#..#...##.#..#..#.###.#...#.###.####.##.#..#.###..##..#..#....##..#.....###.#....#.....#.#.#.##..#.....###..#.#.####..###.##...#.##.##.####.....#.###....####.#....#.###...####.##.##.#####.#.#####.#....##.#.####..#.#.....#..#...####.#.####..##.##...######....#.##.#.#####.#..#######..#..#.#.###...##..#.##.###....##....#.####...#.##...#..#..#.##..#.##..#.##..##.##.#..##.##.#.##...###....##.###......#.#.###....##.##.......##.###.####.......###.##.######.#...#..#.#...#######.##.#.##.####..#####.####..##.#.#.##.....#..##.......#.###.#
....###...##......#.#...#.#...#######...#.#..##..#..##.#.###.#####.#####.##...#..#####...####..###..#....###.#.####.##.###.#....#..#..#.....##....#####.######....###.#.#..####.#...#.##.#..#.###...#.#.#...#.#.##......#.#.##.....#..#.#..####.##..##....###.##..###.#.###...#..#..#.#.##.#..###.#.###..##.#.#........#.#.#####.##....#.#.#..#..###..#..##.#.###..##.#......##.#..#####...#...#.###.#.####.#.#....#....#.#..##.#..#.####...##...#..#..#...##.#...##...##.#....#.#...##.....##...####...#.####..#.#.##.#.##.##........##.#.##......#.##.#...##.#.#..#.###.#.##.....#.#..#.#..#.###..##.##.#.###.#..#.####..####...##.##.#..#...##..##.#.#.#####.##.#.#.#.##...##....#..#.#.#.........#...##.####..###..##..##.####.#.###..####....###...##.###...#.....#####.###....##.###.#.##.##.#.#...#.##..####.##.###.####.###...#...#.#.#####...#.#..##.####.#.####..#...#.#.######.#######.##.#..#...#.##..#.#...##..###..##..##.#..#.##..#..#..#.####..#..##....#.#....#...#.####..##.#...###.###....##...#.#.#.#.####.##.#...##.###..###.#.###..##.##.#.##...###.#.#.###.#....#.##...##....#.##..###.##..#..#...###.####.....#....#...#.....#..##.###.#.#.###...#.##....#..#.#..##....#.#.##.#.##.#...##.##.#.#.####...##..####..#..#.....#..###.##.###..#.##.######.####..#.#...###..#.#...#####.#.###.#..##..#..#..#....#.#.#..##....####.#.####.###.#....#.#.#.#..#.##.####.........#.#.#..#......#.....#.###..##....##...##.##..###..#..#..#..#..#.###.#######.##.###..#..#.##.##.#####..####.###..........#.#.#.#.##...#######.#..###...#...####.#.....###.##.#.###..#.#..#.#.#######.##.#..#.#.####..#..#.##..#.##..#.#.#.####..###..##.####.#..#.####.######.#..#.#.#######.#.#######.###..#.####.#.#.#.#...#...##..##.####.##..#..##......#...#.#.#..#..#......#.##.##..####.#.......###.#...###.#.###.#.##....##..#...#.#.#.##.##...#...##.#####.#.#.#..##.##..#.###.#.#.#...#.###..#..#####..#.##.#.##.###.##..##.#........##.###.......#.#..####.#..###.#.....##.##...####.#..##..###..#######.#..#.##...##.#.##........#.###.####...#...#.....####.####.###
##.##...##.##.....##..#..##.#####.#..#.#.......#..#.##...#....#.#.##.....####.###.......##....#..##.###..#.##.#.###....###..#..###..##..#.#...####..##....####...#....##..###.#.#######..#.##...##....#...#.#.#.##..#.##...#.#.#.########..#.#...#.....##.###..##...##.##.#..#..######...#.#####.#.#.##..#######..##.##..######.##.....##..#.##..#.#..#.##..#.###.##.###.#.#..........#..#.#.####..##.##.###.#.####.....##..#...##.##....###.###.#.####..#...#.##.#.#...#.#.###.##.#....###.#...###.###.#.####...####..####.#..##.#..##.#.##.....##..###.##....#.#..#..#.#..#######..#....##.#.##.......###..#.#..###..####.#.###.#......#....###..#.#.#..##..#...####....#.#....#.##..##.###..#...#..#....###.....####.#.##...#.#.....###......#.##.###.##.###.#.###.##..##.......#...#.#.....#...#......#....##.###.#.#...###..#.....#...#..#.#.#....#.....#...#....##.###...##.##.#..###..##......#..###....####..#.###..#.##.#.#..#.....##...##...#...#.#..#..#......#.#.###......##..#..#######.##....###.#.###.###.###.#...#.#.#.####.##..#.#..######...#.......#.##.##..#..##..###..####..#.#..#######.##..##..#..#.######.####..####.#.##.##.##.#..##...#.##...#..#.#..##...##..#..##.#.#####.#.#.#.#...#....###.##.#...#..#####.######...#.###.#..##.#..######.###..###......#.###.##..#.#...###.#...##....#..##.###.#..#####.#.#..#.#..####..###.#...##.##.##..#.####.#.###.###..##...##.##.###.#.###.#...#...####...#.#.###..#.##......##...##..###..#.#......#.##..#..#.....#..#.#..##..#.##..#.####..###....#.##.#####..####..#.##.##..#..#.#...#.#.####.#..####.###....####......#...#...#####.######..#.##.#..##.###.....####.#..#.###....#.#...#.###...#.#..##.#.....#...##.....#.##.####.#....####...####.#####.#.##..#..#..#..#.#...#...#.##.##..######.#.##..#.##......####.#.#.#.##.#.....###...###.#....#......#....#.###......##..##....#..####.####.#..#..###..#...###...##.#.#..#.#..#...#..###.###.#...##......###........#..#.#.#..###..##########.##..#.#.......#..#.#....##.#.###........##...##......#.........#.##...#.##########.##.######.....##
#..#######......##.###.#.#..##.....#..####.#.#.###.##.#..#...###..##..#.##...#.#.#..#...##...###..#.#.####...#..#.#..##.#..###....#.#######.....#...##..#.####...#.....#..#..#.##...##.#######..##.##.###..#.####.##...#...#.....#.#..#.#......#.#.###..##.#.#####..#####.#.##.#..#.##.##.#....#..##....####.#..##.##...####.#######.#######......##.####.###..........#..#####.#########.####..##.#.#.#.#....##....##..####.##....###...#.....#.....#####...#.######.##...#.###.##..#..###..####.#..###...##.....##..#.#..#.###..#...####..#.....#.#.#.#.###..###....#.#..#...#..##.#######.#.#.#..#.......####.#...#.##.#..##.....#.##.##..#.#...#..#.#.#.##.#.####.#####...#..##.####.#...##.##..##.###.#.####..#........#...#..#####....#.###.#.....##..##..##...##.#.....##..##...#.##.###..#..#..####..##..#..#.#####..##.#......##...####...#..#####...#####.######......#..###....###......#..##.#..#.....##...#.#######.#..#..#.#.#.##...######.####.#....#.#.###..#.#.....#...#..###.###..#...####..#..###...###.#..#.#.#..#..#.####....##....####......####.#...##.####..##....#####...#...##.#..##.#...##.#.##.#.###....#..........#######.#..#...#######.###..###..#####.###..#..#.#.##.#.####.#.#..#..#.##....####..#...###.....#.#.#.###...#..#......#.#.#...##..##..#.##...#.#...#.#####..###...####.###.#.###..#...###....#...###.##.###...#.#.####...##.#.###.....#....#.###.#..##....#...###.#..##.#.##..#...#.#.##..#.##...#...##..#..#.#....##.....##.###.#....#...##..###.##....#.##.#..#.###.#.###.#.#...#..##..#.####.##..###..##.#.#####.#.#.##...###.#..##...###.#.....####..##..##.#....##.####.....#.#.####..#..###.#..#.....#.#..#.#....#.#####.#.##......#....#.##....###.##.####.#.....#..#..#.#.#..#.###.#.#.......#....#....####...#####.###..#.#...#....#..#####.#.###.####.##..###...###.##..##..###.#.#.#..#.#####.#.##...#.##..#.#.#.#.#...##.....#....#.##.#.##.#.#.#####.#..#..##.....##.#.#.#####.#..##...##..####.#.#.#.....#..#..###.#.....#.#..#.#.#.......#.#..#.#.####.##.##.####...#....##...#.....#..#.....#.#....##.#.##.#.###.#
########......##.#.#.#..####.#....#.##.####..#.##....#..####.....#...#..##.###.####.#..#.###...#.....##.####..###.....###.#...#..####.#...##..###.###..##....######.##.###.#..#.#...###########.#..#.....##...#####.#.#.###..##...#.....#.#..##...###.##..####.##...##.#.#..#####....##.#.####..###.##.###..#.#.#.##...#.#####.##..###.#...##..##...#.#.#..#...#...###..##....####.#####..#....######..#..##.###.####.#.#..#..##.........##.#...#....#...#....######.#.###.###.#.#..###.#.#....#............##.##..##..#..#.#...#####.#.#..##..####...#.#.####..#.##.#.#...#.#..###.#.##.#.#.##...#.##..##.#....####.##.....#..##.#.##...#....#.#.#...#.##.###...######.#.#.###..#.#.#....##.#####...##...#..#..#.#..#.##.#......##.###.#...##..##.##.##...#.#.....#.....#.##.#....######...#...##...##.##.#....#..#.....#..#..#..#.###..#.#....####.##..#..#.#...##.##..#.........##..##.##.##.##.######......#....#....#.##.###.#.##.#.###..####.###.#.###.#.#.########.....###.#####...##.#..#.#...#..##....#####....###.##.#.#.........#..#..######.#..#.#.##.###.#....#####.#...#.###.##.#.####...####...#.####..#.#.#.#.###.#...#.###.....###..##.##....###...##...#..##.....####...#.#..#####..#####..#..###.#.##.#..##.#.#...#.#.####..###.###....#..#...##....#####.##..#.#...##.#.#.#..#...###....##.##..#####..##.#.#...##.##.##.#.##.####....##.#.#.###..###..########.##..##.#...#..#....#.#.#####..#.#.########....#....#######..##..#.#..####.###.#..........#..#..#..#...#.###..##..#..##.##.##...##...#.####.#....#........##.....#.#....##.#.#........#.###.#..###.#.###..###.##......####..#..###...#..#......#.####.#####..#.#.....#..##.##.##..#.###...#..#.#.#..####.....#.#.#.#####.#.##.####..#....##....####...##...#.#.#.##.#.#.#.##.###.##..#..###....#..#.######.####....#..#..#.#.###.#..#.##..#.#.#####...##....#....##.##....#.#...#.##.#.#...###.##.#....#..##...#.#..###..##.#..##.#..#...##.#.##.##..#.#######..##...####..###..#.####.####.##..#.####.#.#.##..###..#...#.......#..###.####...##....##..###...#..#..#.#.##.########.##.#..##.#
...######....#.###..#.###..######.##.#.#.....##.###..#.#.#..#..##.###.....#.......##..#..####...#..#..#.####.###.#...#.##....##..#.###.#.#.#..###.#..#.#.##.#.##....###.#....##.#.#.#.#...###..#...######.##..#...#.#.#.#..##.##.#..##...##..#.#.#.....##........#..###.....##.#....##....##.##.#.##.#.........###..##..#..#.##.#.##...#...#......#....#...#.#.#.#.##..#.....#.#.#.#..#...####...#..#..########...#.#..##.##.##.#.###...####..#...#.###.#..#...####...#.#...#....##.#.####....#.##.#####...##...#..####.####.#..##.#.###.###.####.##.###...#...#......#..####..###..#####..####.#....###..###.#..#.#.#.#...#####.#######.....###.#..##.##.##.#.###.#.###..#..###...#....#..####..#..##.#.#####..#..#...###.##.#.#...###.#..##.....##.#......###..##....#####...#.##.#....###.#.##.#........###.#.######..#.###...#...##.#.#####.#......#..........#.####..#..#.#.#.#.#...####..##...#.#.##.#.####...#..#..#.....##..#.#.#.#.##.###..#..###..#.#...#..#..#...######...#.##.###.#.......#.#..##.###.#......##..#......#.###.#..##.##.#.###.#.#..#..#.##..#.#...#.##....#.###.#.#..###....#....#.....######.#.#....#.#.#...##.###..#..#...#..#...#...#...##.#...#######....#.#..##.##.###.#...##.....#..###.#..#.#......##.###..#...#..####..######.#...###..#...#..###..##.#..###.##.#....####.#...#.###########.####....##.#.###...###.####.#.##.###.####.##.###.#..##.....#..###...#.##....##.##########.##.####.###.#####.###..#.##..##.#.#...#####..#..#....##.....##.##.##..#.###..#...#.#.#.#.#...#...##.##.#..##.####....###..#....###...###.###.....###..#..##.###.##....#......####.##...###.##.#..#.#..##.#######..#.#..##..#..#.##...##....##..#..#.###...#..####....##.#..###...##.....#####.###.....##..#...##.#....#.##.#...#...###.#.###..#..#..#..####...##.#.....###..#.#..##.#...#.##.####....##......#.#.#..#.....###.##.#..#...#.#...#.#..####..#.....###.#...#...##..###..#.#.###.##.###.##########..#.#####.##.##.##..#.#.##..##.###.##..##.#.##....#.###..###.......#....#..#...#..#....###....###....####.#.#..##.#.####...#####.#.##.####
#######.###..#.....#.#.#.##..##..##..##...##.##.####.##..#.#.######..#.#...#.#.##...#..#.....#..#.....#..###..#.###..###...#...##.#.#..####.....##..##.#.###..#.####.#.##.#...#.######.........######.##..##.#.######.....#.#.....###..#..##.##.#.....####..#.####...###.#.#..###.###...#...#....#..###.....#..#..#.#.#.###...#.##....#..##.......##...####.#...#...#......#.#.##....###.#.#...#.#..#..#..#.#.####....##..###....##.#.##..##.#...#.#...####...#..######..##.#..#..#.##.##.#..#.....#.#..#.....###..####.#.##.#...#...#...#.##..####..###.#.#.##..#####..##...#...######.###..#.##.##.#..##.#.#.#..##...###.###..##...##..#####.##.##.####...#..###...#...#......##.##.######.##..#.#.#..#..######..###.#.#####.#####..###..#..###.###.###...#.##...#....#.#.#.####.#..#.##..#.##.#.#.......#.#..###..##.#..#...#...#.#.###..##.#.###.####.#.#.####.###...#.#...........##..##..#.....###.......#.......##.##..#.....##.##.##...#......####.###.#...#.####.##..##..##.......#.#.......#.#####.....##.#.#..##.##.#.#..###.##...#...#.####...#.#.####......###.#..###.####.....#.#.##.#####....#..#.#.#.#.#..#....#..#.#.####.##.#.#.#.#..#..###.#...##...#.#.##..#.#.###.#..##.#..##....##..##..##.#.#..##.#......#..########........#..##..####.##.##.#....#.#...######.##...##..#.#..##.#..####..##...####...#...#.####.#..##....#.#...#...##.#...#..####...#.####....#..#..##..##.##...##..#..###.#.##..##...##..###.##.##.####....#.#..#..#.#.##.##..###..#.##..###.......#...#...##.#.##.###.##.###.##....##..#....##...#...##..#..#.##.#...#..###.###..###..#.##.####..#..#..#.#.#.#.#..#####.##.#.#..##.#..#....##.#..#.##.#...#.###.#..####.##..#.....#.#.#..##.#.####...##....##.#...#...##...##..#.#..#...######...#..#.#.#..#.##..##.####.....##...#..#.##...#.#####...#.#...#..#..######.#..#..#..#.##.######.##...#..#..#.....##.#...###.#########...#...#..#######...####..###.#..###..##....##.##..#.######...##...#...#...###.#.##.##.##.##.##...####.##.#.###..#.#.##...###.#####...#.#.##.#.#.#####.#.#..#.#.##..####....#..#####..##..#..###..#
#..##......####..###...#.#.##.##..####.##.###.#.####...##.##.#.#..#...##..#...#######.##..##....#.##..#####.##......##.##..#.####.....####.##...#....##.#..#.##.#.#..####.#....#..##.#.#.######...##.#.###.####.#.#.####.##..#.##....#.#......##.#..#.#.#.#.#.######.#.###.#..#..##.##.#..#.#...##..####..#.###.#.....#.#......####.#.#...##..#.#..##..#.#..#..###.##.#.##..#.#..##.##.#...#..#...#...#..#.###...#.#..##..#..#...#...#..#..#..#...#.#..#.....#...###.#.##.#.#.#...#.#....#....###..#..#.##.#.....##.##..##.##.#..##.#....##.##.#..#...#.#..##.#.#..#.#.#..#...##...###..#...#..##.##...#...#.##.##..###.###.##.#...##..#..##.#.##.#.####.#..#..##.#..##......####....#...####.##..#.#.#...#.#.#.###.##....##..######.######..##....#.##..#.##....#.####.##..##.#..##.#..#.##.#.##..#....##..###.##.#.#.#.###...###.##...#####...#.#..#....####.###..##.###.#.####.#..#.##...#.#.....#.#.#..#...##.#.##....########.##...#..##..#..##...#..####.##...###.###...####.#.#..##.#.#...###.#.##.#...#..#####.....#..#.##.##.###.#####.#..#....##......#...#...#.#.#.##.#.############.##.#....#..#.#....#..##..###.#...#.#....#..#....###.#.#..###.....##.#...#....#..##.#.#...#####...###....#####.##.#..#.##.....##.##.#.#..##...###..#.....##.##.#.##.##.###..##..#.##...#.######...########....###.....#.##....###...#..####..#.###..###.#....###...#.##.#......###.#.#.#.#..##.##...#...#....#..#...##.....#.####.#..###..#..##.####.#....####.##....#..#......##.#.####.#.#..#.######.###.###.#####.##.####.#.##..##.#.##..#.#.##.#..###.###...##.##..#..#.....####....###.##.#....###.##.##..####...####.#....#..#...#...#.##.#....##.#...##......#..#........###.#.#.....##....#..#..####.##.##..#...####....#.#...#...#.#.#.######.#.###.#..#..##.###..##.####..###..##.#.#.##.##...#..##.##.####.#.##...##..#.####...###.######...#..##....#..#.####.....##...#.#......###...#.###..#....#.##..###.....#.#..##.###.#####..##.#.######.####.#.####..#.#..#.....##..#.###.###.###....#.#.##......##.....###.##.##.......#..##..####..##.#..##..#.#.#.#####..#.
#.#..####...#...#.#.###.#####...###.#####......###..######..#.##.#...##.###..###.##.##..#.###...#...#..#...#..##.##.#####..##.#.##.......#....#......#.###.#...#.##..#.##.######.#.#.#.##.#######..#.####.#.#..##.#..#.#.#.#.#........#.....#..#....#.#.##...###.######.#..#...#....#..#..#..#...#..##...#..#.#...##.###########.#.#.#..#.#.#..###..#.##..#...#.##.#.######...###.....##.##..###...#..###.##.#...####.##..#.#..##....#.####......#####.#.#.#...#..#.#.#..#####.......#.###..#..#....#...#.#...###.#.#.#..###...##.####.#####.#.#.#.##.#..##.#..#.....##...###......#.#######.###..#...#.....#.######.##.#....#.#....#..#...##..#..######.#.###..#.###....#.###....#...#.#......#..###.#....#...#####..##.####...#.#..#.##...#..##.##..#...###..#...###.#.##..###.###.##.#.##.....####....#.#....#.#.#...#.#...###.####.##...#.#..#.####..##.###....##....##...#..#.#.###.#..#.##.#..#..##....####..#....#.#.####..#.##..##.##..##.#...#.#.#####.##...#.#.#.#.#.#...##.#...##...####.###.......#.####...#..#..#......####.##...#.#...##.#.#.##..###.###.###.##...#.#..####..###...##.######..#...#.##.#.##..###.#..#...##..#######...##.###...#..#....#....#.###.#....#####..#.....###..#.#.#.#...#####...#..###...#.....####....#.###...#######.##...#.#.##.#.####....#.###.#.####.#.###.#.#..##.........###..###........#.#.#...#.###.###..#.#....#..#.#..#.#..#..#..####.#.##...#...#......#..##...##.###..##...#.#...##.######...##.#..##.####.#...####.#...#..#...######...#.##.#....#...####...#.#.###.####..###......##....###...###...###.##...####..##.##.##.#...#.......#....##..###..#...##.##.#...##.#####......#...#..#.##.#.#..#...#...#..#.#..#..##.#.##.#.###.#.#..##.#...##..#.#.##...#.###.###.##.##.....#.####...##.###.....####....####..#..##.#.#..#...#...##.##.#.###.........##..##.#....####......####.....#..######..#########.#.......###....#...####..###.#.#.##.#.#..##....#...#########.##.....####.#.#.#...###.#.#.#.##..##.##.#..###.#..#..##..##.#..##..#.##....##.#####.#..#####....###.#..##.#..##..#.###.##...###...##....#.##
#.###.##..####..#....#####..#.#..#..###.#..###.#.###.###..#....#..####.###..###....#.#.#....#....#....#..#.##..#..#...####..#..#.#.#.#..#####...#.....#.#######..#..#..##..#.#.#.#..##..###....###.#.##.#....#.####.#..#...##.#...######.##.#...###...#..##.#..#.#####........#..##.#...#########.###..###..#.#.#.#.##..#..#####.#####..##.###.#.##......####.######.#.#.##..#...##..###....#....#.#.#....#####...#..#..#...#####..##.#...##.#....#.#......#..#..#.####..##..##.#...#.......#...###.###...##..#.....#...###....#..#...#.#.#####.#.##.#..###..##...#.#.######.##..##..##.#####....###..#...#.#.#..##.....#.....##.######.###.#.#....#.#.##.####......#..######..#..#.#...##..##..#.#....###..#####..##.#..#....#..#..#.#.##..##........##..#.#.####.#.#.##.....#.####.#.##.##..##..###.####.##.##.##.#####.....#.#.....##.#..#..#.#..#######.####.##.##...######.#..######...#.........#.#.##.#.#..###.#...#.####..##......##.....##...##.#.##..#.#.##.#.#.#.....####.###.##.###.....#####.......####...###.####..##.###...#########.#####....######..#.#####..#.##..###...##..#.##..#..#.#..#...##..##...#.#..####.#.#..#..##...#.##..##.#...#.###....####...##.#..#..###.#...##..##.#######...##..#.....#...#####..######.#.#.#####....#.#.#..#....##..##..#..#.######.#...#.##....#####.###.#.##...##..#.##.####.#....###.#.####........#.##...###.#.####.......###.....#####..##..###.....####.##..#...#......#...#.#.#..#..#..##.#...#..#...###..#.#.#.#.###...##.##.###.#.#..####..###.##..##...##..........#.#......#.#..##.#.#.#.#.####...##.###...#####.#.#..#..#..##.#####...#..##.#...##.#####..#.#.#....#####..##.##...#.#.##..#.......###.#.#####.#.#####.##..##.###........#.##.##.##..#..#.##.######.#..###...##.#.###.##.#.#..##.###..#..#.######.#..#.#..#...###.#.....#..##.#..#.#.#..#.##..#.#.##..###...#####.......#..#...######.##....##.......#.#.....##..##..###..#..#.###.##.#####..###..####...##.....####...#.#.##.##.##.#...###.#.####..###..###.#.#...#..#.#####.#......#...#...##..#..#..###..#####.#..#..#..#####..#..#.#..#.#.#.#
..#...#..#.####...#.#...#..#..####.#.#.#.#..#.#.....#.###.##.##..#...#.###...#.###..#..#####..#####...#.##..####....#####..##.#..#..#####..#..###.##.##.#.#..##.######..##.##..###.#.#.#....#.####.####....##...#.###...#..###.##...#..#..#######.#####....#.###...#....#.#.....###..##...#..#..###.....#.##.##.#..#.#..###.#.###...#.##.#.##...####.####....##.#.#....##.##.##..#.#.##.#....#.#####.##.#.#.#..##...#.....#####.####............###.##....#..#.##..#...####.#.#.....##.#...##.##..##.#..##..#.###.#...##..#.##...#.###..##....#.#...#..#.##.#.#.....#..##.##.###...###..###.###.###.....#.#.#.#.#.###.######.##...##.#.#...#..#..........#..##.###.##..######.#.........#.#.##.###..##.##..#####.#######..#.#####....##.##.##.#.#.##......##.#.##...#...##..###...#.#.#.##..#....#.#....###........####....####..#.##.##.##..#..#.#.#..#.#########..#...##...##..###...##...#.##.##########...#....#####.#.###.#.##.#####...#.##.###..#.###...##.##.....#.#..#..##.#.#.##..###.##.##.#...#...............###.#...##...#.##..#.###.####.#....#...#.#.#...#.#....##...#...#..#..#.##..#########..###.#####.##.####.#......#..##...#.#....#...#.#######.##..#...##.#..##..#.#...#####..###...#.######..##....#.#.###.....#...#.###.#...##..##.##.#...##.##..#...##...##.#...##.#..#.#..#...#.##..##.##.#.##....###.#.##...###.......####..######.#...#.#.#.####....##.###.....#..###.###.##..##.#.#...##.#......######.####.##.###..##.######.....##.####....#.##.#...#..#.#.#..#..##.#..##.#.#####.###.#........#...###.#..##...#.#...####.....#..#...##.##.#.###...##...#.###....##..##.#...#.#.#..#....#.##.#..#.....#.##.#.#.#...#.####...#.#.###..#...##.######.#...#.###.##.#..########..#.#.#..###..#..###.##.#.......#####..#.######.#.#.######.###...#...##..##....#..#####..#.#.#..#.##.####.##..#.#######.###.######...##...#.###.##.##..#..##..####...###......#.....#..#..#...#####..##.##.#.##........##.#..##..##..........##...###.#......#.##.#.##..#.#...##..#..#.#..#...##.##..#.####.#.####..#.....########...#...#..##.#.#..##.#.####.####.##.
.##..#.#######....#.##.###.#...###..#####.####.#.###..##..##.....#.#.#..##...##..##.##.##.##..###.####.###..##..##.#######.#####.###..#..#.#.####..####.#..#.#.##...#.##..########..#..#.#.#...#.#####.###...##..###......#..#...#.###....#.#.##......####.######.....#..#..#..#.##.#.##..#.#..#.....#...###.####.#.##.##.##..##.####..###..........##.#.#.##..#..####...####.....####..##...##.##....#####...#.#.##..#...#.#..#.#.#.###.#...#.#....##.#.#..#.###.###............####..##..###..#..#..#..#####.###..##.###.###...##.##.#.#########...#..#..###.#.....#####.###.###..#.##..#.#.##.##....#..##..#..#.##.##.####..#.#####......####.##....#####.#.#####.###.....##...##...##.#.#.#.....####..###.#..####.#...###.#.####.#....#.#....##.#.#...#.###.###...###...#...#####...#..#.####.##.##.#.#...#.##.##.#..###..#...##.#.#.#.##..##..##.#...##########..........#.#.#.##..###.#.##..#.###..#.#.##..###.###..##.#####.#.###..#.#.#.####..#..#.###.#####.####....###...#.###.#.#...###...###..#.#.##..##....######..#####.###....#.#...#####....#.....#...###......####....#..##.##..#.####.###.########.#...###........#..#........#.....#....######.#.####.##.#..####....###.#.#...#...#.#.#.##.#..#.#.#.#.#..####.##.....###.#.#.##..#.#.#.#.#.....###..#...##.#..##....##.#...##.###.....#.#####.#.##..##...###..##.#.#..#.......##.#..#..#..#.#.#..####...#..####..#...###.#.#.###..#..#..###..#....###########.#......#....#.#.#.##.####....#...############..#.######.....###.##.##...#..#..#..##..##.#.#.#####..##...#.###.#.#..#########.##.##.#.######.#...#.#.#..#.#.#..####.#.#####.####.#..####.######..#..#.##.##..#......####..#.#..#...###..###.#..#...#..####.###.##.##.#.###..###.##.#..####...###..#.##....##.#...#.#.######.###.#..#..#.###....#....#....#.###.#.###..###.......#.#....#.#..##...##.#...##########.#....#.#.###.###...#..#.#.#.#..#...#...#..#..#.#..#..#####..#....#...##.##....##.####..##.#.#..#.###.##.####.##.#.##.....##.#..######...#..##.####..##.#.#..#.#..#.#.##.##..#.#.##..#.......#.#.##..##....##..#...###.##.###.
.###.##..##.#.####.#.#..#.###.#.###...#..###..#.###....#.#####.#.###..#.###...#.#####.#..#.####...#.#####..####..#.#.......#.#.#.#..##.###..##.#..........#.##.#.##.#..#...#.#.##.....#..##.#..#..##.#####.#..##...#####....#..#..#..#.#...#.#####.##...##.##.....##.#.##..##.#....###..#.####.#.#........#..#..#######..#....#....###.####.#...##....#.##.#.#.#.#....#####.##.####.###..#.###.#.##..##...#....##..##...###.##...###.#...#.#....#..#..#..###........#.#.#..#.###...####...#.##.#.##.##..#....#####.####.##.....#..#.####....#...#.###..#...##..####..#.#.#..###....##.###...#.#........##.#.....#....###..#.###..##...#..##.##.##.###.....########..#..#.#.#######.#..#.#..##.##...#..#......##.###.#....#.#####..##.#.#....#.#.##...#.##..#...##.###.#...###.#.########..##..##.....#.....#.##..###.....##...#.#.##.#.##.###.....#..#......#.##.#.#.#.##.#.##.##.#...##....#.##..###.#..###...##.#.#..#.#.#.#...#.###.#..##.##.#.....#......##.###....#...##...#####..##.###....###.#..##.#......#.#.###.##.#.###...#.####....#.#.##.#.#..###.#...###.###.###.#.#....###...#..#.##.##.##.......#...#.#.#..####...##..##.##.#.####.####..#.#.#....###.##.###.########...###.#....#.#.###..#.#..#......##.#...##.##..#.#.##.#.....#..#.#...#.###...###..##..###.#...#...#..###.##.....###....#...#####.#.#..#....#..#.#.#.##.##.###.#..#.##.#..####.#.#..##.##.#.#.#..#.##.##...##.##..####.#.....#.#..##..#.....#..#..#......###.#.##...#.##.###....##..#.#####.####.....#.#..###..#.#..###.##..##.......#.##....##....######..###..##..##......####.##..#..#.#.#.##...#.#.....##....####....###.#.#.###.##.####.##...##.##...##.#.#.###...##......#..##.##..#.#......##..##.#.#.......##.##..###.###.####.####.###..##.....##...######.###.########...##...##..#.#######..........#.#....#....#...######.#...#####.####...####...#.##.#.#...#.###...##.###.####.##..###...##..#.##...####.##..####..#.##.#.##.....#....###.##..#...##...##.##.##.###....####.#...#.###..##.#########.###...#..#..#.#....#.#.#.#..#.#..#....#.##.####.###.#.##.##...#....##....#
#..#..#.......##.#.#.#.#...#..#.#.....#####.#.#.#..#.##...##..##.#.#####.#.#.#.#....###.#....####..##...#..#..####..#...#.#..####.##......####..#...#....#.#.#...###....#.##.#..##.#..#....##..#...#..###..#.##..#....#.###.#.###..#.........#.#..#...#.#....####.###.#........#.##...#.#..####.#..###.#.#...#...###..#...#......##.#...#.##.#.###.#..#.#.#.#.#..##..#####..##.####..##.#####......#.#..##.#.#...#...###.#...####.#..#..#..#.##..#....#.###..#.#......#.###..####.##.##.#.#..##.#...#.........##.##...#..#.#.#..#..###.##..#.#..#.###..###.###..#....##...##.#...##..#.#...##...#..###..#...#######.##...##.##..#.#..#........#..#.##..##..##.##.##....#...######.#.#......####.#.#.####..###..#.##...#..##.#######..##..#.#.##..###.#.####..##.##..#.#..#.##...#..#...#..##.##.#########.....##.###..#.#...#..##....###.#####.###.#....#...###...##.###...##.#.#.##....#...###.#.#..#...#...#..#.#..#.#.#..#....#.##..#.##..#.#.#.######.#.##.###..#.....##..####.#.####.#.####.#..###.#.####.####..##..##.#.###.#.###.....###.#.#..##...##.###....#.#.#...#............####..#.####.#.##.#########.####.###..##.##..#...#####..#.....#...###..#####.#.#.###.###..##.#.........#.#..####.#.####.#.##.#.##..#.#.##...####.......##...#.###....#..#....##..##....####.#.#.##....#.#...#.##.##...#.###..####.#.###....#...#.##.##.#.#......#..#.###....##...#....#.#..####.#....#.#.##.##.#..##.......#.##.....###.##..###........#...#.#..#####..#..#....###..#.###...#####..##..##.#...###..#.###.###..#.###..#.##...##.........#####.####....##.....###.#..#.#..#.###.##.#..#.#...#..###########.#.#####.##..##...##.#.##....#.###...#.....#..#..##...#...####.#....#...#.#.#.#.##.#.#.##.##.#.......##..##.##..#....##..#....##.....#..##..###.##.#.#.#.#...#.....#.#....#...###.####.....##.###.#.#.#..#...#.#..##.##.#.....##.#...#.#..#..#.#....#...#..#.##.##.##.#.####...#...##.#.#...###.###.#.##..#.##...####.###.#.##.#.......#.##..#..##.##.#..#.###......#.....#####.##...#.#.#...####.#.###.#...####..##.##...##.#.##..#.#....#.###.#.##...#....###
#...#.##.###.#..##...#####.######..#..#...##....#.###...#.###.#..###..###..##..........##.#.########..#.#..###...##.###...#.#..#.#..##....#...#.#..####.#..#.#..#####...#..####.##.#....#.#.###....#.##.#.#.##.##.#######..##.##..#.#..##..#.##..##....#...#.#.##..#####.#.####.####.###...####.##..####.#..##.####..##.##..#.#..###.#####.#....##..##.#.#..#.##.##.##.#.##......##...#.####.#.##...####.#.#..#...#.#...#.####.####.#..##..####.#...#......#...#.##....#####.#.##..#.##....###..####.###..####....#..###..#..#.#.######..##...#####.#.#..#..#..#..........#....#...#.##.###.#.##.###.#..####.##....#...#...#####..#..##..#.#.####....##...##.###.##.#.##.#...####...###.#.......#..####..#..########.####....#......#.#.#.##....######...##.##.#..#.####..########.#.#..#..#.##..#.#.##..#.....###.###.##..###...###.#...#.......#.##.##.#..#.########...#####.######..#..##...##...#....#.###..##.#.##.#.##..##.##.#####.##...#.#...####..####....##.....#..#####.#..#..#..###.#.###....#######.##...#.##..#...##.##.#.......#....####...##...###..#.#..#......#.######..##.###.#..#.#....#..##..#.######....#...###..###.#.#...#.###...#.#....##..###.#.#...##..#.......##...####.###.#.#..###............###...#####..#.#.#...#.#.#.#........###.#####.##.###....#...##..####..#..##....##.##........##..#.#.##.####.#.#####.#.##.#.#...##.###.#.#.#.#.###.#...#..#.######..#..#......#.##..####..#.#####..#.#.#.....###...####.##.#...##.#....##...#.#.##.#..#.##.#.########.##..####...##..#..####.##.#.##..##..#.##.#.#.....#######..#....###....#.###.##...#..#..#..#.....##...####....#....#...##.....#.##..#..##...###.####.#.###.#...##.#.#..#.#.#....##....###.#####.#..##.##.#.####.#..#.#....##.#######...#....##.#######.#.#..##.#.###..#####.##.###..###.##.#.#.##.##.#.....#..####.#.###..######..#...#..#...#.##.#.#.#..#...#..##..###.#.#..##.########..#...#.##.#..#.#.#.#..#..###......###....#.##..###.#.##..#.###.#.#...#....#.##.#.##.#..##.####.########.#.###..#.####.###.#.#..###....#..#..#.#.#.#.#.#.###..#......##...#.#.##.#.#....
..#####...###.#....##.#.......##...####.#.#...#..#.####.####.....#..#..#..#..####.#..##.#....#.#####....#.#......#..##..#.###......#......#....#...#..#....##..######.##..#.#....#..##..###......#...##...##....##..#..###....##.#..#.##....#.##......###.##.##..........##.#####..###.##.#.#.##.##.####.####...#####..#.....####...#..###..#..##.....#..##.#.#...####.##.#.#..#...###.###..####.##...#..#.##.##.###.#.#..###..#.##.###.###.##.##.##.#.###..#.##.##..#.##.#...#..#.###.#........#...##.#.#..######....#.#####.#..#.####.##.#####..#.##.##..##.#.##...##...####........##.#..##.####..#......##.#...##.#..#..#.##..##.###...##.###...###...###.#.#...#####.#..#...#.#####.##.#####..#..##.##....##.######.#.#.#....####..#...#..##...###.#...#.##...###..#.#.#...#.#..####.##.###.....#..#.##..#...#.......##..##..####.#.#.####.#######...##.#.#...#####..#####.....#.####...#.#.###.##.##...###..#....###.#.##.#.###...##.#..#..#...##.#..#............#....#.##.##.###...#.#.#..###..#.##.#.#.###....##.##.#....#......###.#..#.###.##..##..#.#...#......#....###.#.#.#...#...#.##.#...##.##......#..########.##....##.##.#.#.###.#.##.#..###.##..##.##....###.#...#..#...#.#.####..##..#.####..#####..###.####.#.#..##..##.#..####.##.##.#..#.#####.##.###.#.####..#..##.#.#.#.##.#####.#.##.##.#.#....#...#...#...##..#...##...#.####.#.........#####..###.......#.###..#...##......##..##..###.####.#..#..#..#...#####.#.#...##.######.###.#.###....###.#.....#.#..#.###.###.#.####.#.#.#.#..#..#######.##..#.#..#....####.#...#.##.##..#######.#..#.#.##.#..#.#.#..#.#...#.#########.#..#..#....#.#..#.#.#.##.####.##.###..#.##..#.##..####.##.###.###.##..#.#.##.#.....#.#..#.##.#..#..#.##.##.#..#.#...#..##.##....######.#.#.###.#..##..####.##.##.#..#....##.##.....##..#...#.##..####.#.#.###...#.....##.##.#....#..####.#.##...#....#..##..###.#...#..#.##.#..##..#.#....#####.#.#..###.###...##..#.##.#..##.#.##....#.##..####.#..#..#..#..###.#....###.####..#.#..#######..#.#.#.#.#..##.##.##.##..###..#.#...#.##.###.......#..##..##.....#.##...
##.......##.#.######.#..#...#.#...##..#.##.##.######..#####...##.#.#.#.#.###..#..#...#...###......###.####..#...##.#.##.#.#.#.....#.#..#..#.#.....##.##.#####..#.#.#..##..#.#####.#.#.#...#.....###..####.#.####...##.#..#.....######.#.######.#.#...#.##.#.##....#######.#...#..#.#.....##.#....##.#.####....##.######..#.#..##..#.#.#..##.#.#....#...########.####...###.##..##.#..#.##.#......##......##..####...##...#..###...#..####.##.#..#.#..####..##...#.#..###.#######.##.##...####....#..###........#.#..#..#.##...#..##.##...###.##.###.#...#..........##...#.###...#..#.#.##.##.#.#.#.###....#..#....#...####........#....####..##.####..##..##.#.#..####.#####..#..#...#....#..##...##.#..#....#.##.#...###.###.#.##......#...#..#..#####.....#.#...##.#.....##...#.....#.#...###.##....#..#..#.#.#..#.#####........##..#####.#.###.###.##..#..#..#...........#..#.###.####..#..##.#.....#.##.#.#.#..#.########.....####.#.###...##.....##.#.#.#..#.#..#...#..#.##....######...###.#.#..#..###.....##..#####.#.#..##.#....#.###.....#.#.##...###.#######.....#.##..#.##.##..##..####.....#..##.#.#..##..####.....#.##.#...#..#####.#..#.###..######.#####..#...#..##.#....#..#..#..####..###..##.#####..#.#.......#.#.#....#.####...###.##..#.#..#...####...##..###.#.#.###.#..#.....#..###.#.##.#.#...##.#.#.#...##.#...#..##.##..##.#######....###.##.##.##.#.#...#..####....#.#.####.#.#..#.#.###.#..###.#.##.#.#.#..#..#...###..#######.....######....#...#..##..#.##.#....#.###..#....###.#.#..##..###.#####.#..#.#.......##.##..##..##..#.##.##..#####..##.##########.#..#####..####.#..#.....##.##...##.######..#....####...#...####.###.....###...#..##..##.#.##.#..#.#..####.####.####.....#.#...#....#.#.##...#.##......#.#..###...#..##...#..####..#.##.###..#......#..#.##..###.#...#...#.##...#.##...#.##..####.###.#..#.#.....######.#.#..##.#.##..#.##.#.##.###.#.#.###.##.#..#.#.##.#..##..######.#..#####.#.##.#...##...#.####.##.###...#...#.##....##.....#..#.#.##..##...##...#.#.#...####..#....#.###.#..#...#.#.#.#.#.#####..#.#..#..#..##..#
#..#.#######.#..##..##...#..#.#..##.##...##.#.#...#..#######.##....######....####.#.####.#.#.###..#..##..##....#.#.....#.#.####.#...##...#..##....##...#.....#..##....###..##.####.#.##.##########..#.##..####..#.#.####.#...#..####..#.####...#.#...##.#.###..####..#....##.#..###.#.#.##.........###...#...#...#.#.#####........###.#.#...#.#....#..###.####..##.##..#...###.#.##..#....#.#..###.##...#..#.#....#...##.....##.#####...#####..#...#..#.##.#..##.#.#.#..###.#....#.##..##....###..#..##..##..##..#..#...#....##...#..#..###..##.#..##.####......###.#....#.#.#...###.#..#..###.###.#.#.#.#.##.......##.#.##.#.##.######.#.#.######.######..#..##.#.#####.##..#.##...###.#.##..##..#......##....##.#..#.####.#.#.###..##.###..##.#.#.#.#.###.##.########.##.###.#...#.###.#..####.#.####...#######..##..###....#####..#.####.##.#...#..#.#.##.#.#....###..##...###..#..#.....##.#.#.##....#.##...#..#...#####.#.#.....##..###..####....#.########..####..##...##.#.#####.###..#.####.##.....#.#.#.#...#.#.##.#.##...###..###..#....##.#####.#.#..#..######..###..##..###..###..#####.#.#..#...#....#..#..#..##..#.###..#.#...###...#..#..##....#....####.#.#..###.#..####.#...#.#.#####..#...#..##.#...####.....#.###..#..#....###..###..####...#....###.#.#.#######...#####.#.##.###...#..####.#.#..#..#.#####..####.##.##..#.....#...##.##....##.#....#.#..#.#.#...#.####..###.##.#.#####..#.####.####..####..##.##...###.####.##..###.#....#.##.####.#..##.#..#.###.##..#...##..##............#.###..#.#.##.##.###.##.##...#.###.##...##.#..###.##.##.......##.#.##.###.#.#..#.#.#.####.#..#.###.#..##.###..###########.###..#####....##.#.#...#.##########...######..#.#..#...#.#.#.#.#.#.##...#.#...##.#..####....#.#...###.###.#####.###.###.#....###...#.#.......#.....###.#....#.#.##......###.#.####..##..####.#..##.#...#...##...#.#.##.#..#....#.#########..###...#######...##..####.###.....##..####.....#.#.#.#...####.#.#......#.####...#..##.#.#.##....#.#.....#...####..#...##.#....#.....#..#..#.#.#..##.##.######..#.#.#.##.##..#..#..#...##...
#.#.##.#.#...#..##.###.###..###.#.#####..##...#####.#.##.##...##.....#.#...#.#...#####.#####.#.#....##.#...#..#..#...###...#...##.#..###.###.###.#.##....###.##....#.#..#.####.##.####..#######......##..##########.##.....#...#..##.####...##..#.##.##...#..#.#.##..##...#######....#..##....#..##.........#.#..#.....#...#...##.#...##...##.....#....#..#####..###..#.......#..#.###..#####.###.#.##.##..#.###......#......#..#####....######....##.####.#...#.###.###..#########.#.#..##.....#..#..####..#.##.##..#.#..#.#.#....#.###...###.######.#.##..#.....#.#....##.#..#.##.....###..#...#...####..###.###..#.#..#..#...###..#.######.#.#..#....#.##.....##..#..###.#.##.....##.#.#######.#.##..##..#.#####.#.....##.#.....#...###..##.#.#.#.#..##..#.#.....#..#.##...#.#.####.#..#.###.#...#.##..####..#.#.#.#..#.......###...#.###.#.#.##..#.......##.###.#..##..#...#.####...#..##.....#...###.#.##..#..##.##.#..#...#....##..#...##.###...##..#.#....#######.###.##.....##.#...##..###.#...#.####.##.####....##..#..#..##.##..#.#..##.####..###....###.##..###.####.....#..#..###.#..#..#....#.##.#..#.##...##.###..###...#.#..##....###.###..#...######.#..#....#.##.###.###....##..#.##.#.##.##...####.#.#.#######.....##..#....#..######.###.##......#..#..##.##.#....##..###.###.#.##....#..#.###..###..#..######.....#...#...####.#.#...##.#....#.##.#########...##.#..###.#.###.#..#..##...#.#...##.#..###.##.##.#.#...#..#.#...#.####..####.#.#.##.##.##.#.##.###.#..##..##..#.....###.#..##.#.###.###....##.#.##.###.##.#....#.#....##..###.##.#..###..##..#..#...#####......##.####...#####.#..#.#...####....###.##...###.##....##.....####...###.#####.###....#########.###...#.....#.#...#.##.#.###.##.##.##..##.###.#....#...#.#.#...#...##...#..#.##.##...#####.#.#..#.##.#####...###.##......#...##.###..##....###...####...#..#.#...##...#..#.##.##...#.#.#.#.#..###.##.##...#####.######.....#...######..#.#.##.##.#...#..##...######...#.##...####.#######..######.#####.........#.#.##...#..#...####.##.####.##.....#.###..#..##...#########.#....
.##.##.#.##..##..##...#.#####.##.........#...###.##.#.....#..#...#..##.#.........#..#.##..##.###.####..#.###.##.#.####..#..##..#...###..###.#.....##..##.#.###.#...#..##..##.######..#.##....#..#..#.##..#..####.#.####.##..#..###.....###.....#.#..##..#...........#.#.#..###...#.##..#####..#......#..#.#.....#.##.###..##.##..##..#.###..###.#.....#.####.##.###....##.....##.#####...###....#####.#.######..#...#.#.##.#..#...##.###...#.##..#.#.#.....#.###..#..#..#.###.##..###.#..#...#....#.#.#.#.##.##.#.#.##.#.#.##.####.......###.#.#.####.####...#....##....#..###..###.####..##.#.#.#...###.#....####.##.##..##.##.###....##..#.########...#####....#.#..######.#...#..#.#.##......#..#.....#.#.#.#.###...#.#.....#..#....##.#.#.########...#.##..##....##.##.#.#.##.##....###..##...########..##..#.#.###.#......#.#..#....#.####.#.#...###.#..###.####.##..###.#.#.....##.....##.##.#..##...####.##...###...#.#...##.##...#..##....#...##..###.#.##.#..#.#.##..##...#####.#.#.#....#.#...#.#####..##..###.#..#..#.....#...#....##....#..#.###.#########..#.#....##.....#......##....#####...##...#.#..##...##....###.##..#..####.##.#...##..#####..#.#.###.#.#.#.#.######.#.......###..###.#.#..#.######..###.#.###..#..##...####..###.#..#..##.#....#.##.###..##.##.###.##.#.####..#.###..#.#.##..####...##.###..####...#.##...##.......#.#.#......###...#.#..##..#.....##...#.#.....##...#....#.##..#.#..##....##..####..#.###.##..#.##.##..###....#...#.#....#.###.###.#.##.##..####..#....###.###.#.#..###.#.#...#.##.#..#.#..###.###.#.####...#..##...#####.#...#.#.##.###...#...#..#.#.#..#.#.##...#.#####.#.###....#.##..#...#..#..#.....#..#....###..####....#.....##..#..#####....#.#.##...#####..####..#...####..#..####.##...#...#.#.#....###.#.###..###.#...##.####..#####.###.....##..#..###..#.....#.##..####..#.#.#...###....###....###..#.#..#########...##.#.#.###...#...##.#.....#..#....#...##...##...##....#.####..#....###....########.##.#...#.....#.....#..#...#.####...#.#.##..##.........#.#.#..#.#####.....#..##..#.####.#....#.###....
#.##...####..#..#..###..###..#####..##...#..#..#.#.#####..##....#..#....###..##..#.##.#####.#....###..######..#..##...##.##..#.#.###.##.#...#.##.#.....########.###..##.##...#..#.##.#..##.#.#.###.##.....#..##.##....########...#.#..####.#......#.##.##.#......#.....#...###.##.##.#...#.###..#.#####.#######....#.####...#.###.#..##.##..##..###..#.##.....####.##...###.#.#...#####..#.###.#.#.######..#######..####....#########.#.#......#####..##...##.######.#.#......#..#.##.#......#..#.###...##....#.##..##.##...###......###.#.#..#......##.#.####.#.#...#..###......#.##..##...#.#.#.###.#.##..#.#.##.###...##.#.#.##...#####..#..#.##....#.#####.#.#.##...##.#..#.##..##.#....####...###..#####..##......#..###..#.#..#....####..#..#.#..#..#..#....#...#.#..##.#.#...###.##...#####..#.......#.###.#..#..#.###.#.#.##...##..##...#.#.#.####.##.######......###.....#####.#.##.#..##.###..###..##......#.#..#..####.#.##....#.#.#.#..#.#...###..#.#####.##.#...###......#....###.#.#.#...###....#.#.###.##..##....#.#####.###.#....#.#.#######..#.#.##.###..##.#..####..#..##...###.#....####.#.#..#.....#..##...#.##.##.#.#.##.#..#.###.##.....#.#######.##.##..###.###.#.####.##.##....#..#...#.#######.#.#.#####.#...#.#..#....###.##..##..#.#.##....#.###....#..#.##.#.##......###..###..#.#..#..#.##....#####....##.#...###.##..#.###..##.#...#.....###.##...#.#.#.##....#.####.###.#..#.#.##..##.#.###.....#.#....#..##.##.#..#..##..#..##.####.#.##......######.#.........#...#...#.#.#...#...#....########.#.##..###.#.....###.####.#.###.#..##...###.##.#....##..##..###.#..###.#..##..#..#.#.#.......###.#...#.#.######.#.###..####.######.####..#.##.......#######.##.......#..##..######.##...###.##...#####...##.##.#.......##....###.###.#.##.#...###...#.#####.##...##...#..#...#.##.#####....#.#.#.#.....####.##...#....#...##..##..#.##...#....#..###.#.##.........###....####...###..##..#####.#.#.##.####..#....#.#.##.#..#.##.#.####.#..###..#..#.#..#.########....####.####.#.###...#.###.#...#....#.#..#..###.###.#.#....##...#.##.#####.##.
#.##...#.#..##..####..#....##....##....#..#.........##.####..##.##.....#..#.##.#.##.#...#...#.##.####.....###.##..#.#...#.##..###...##..#..####.##..###.###..#.#.#....#..##..#.##..##....##.##...#.##.#.#.##.....###.##.##..##.##.##...#..#..#####..#...###..##.#.#.####..#..#.####..#.###..##.....#####....#.##...##.##...#...#.##.#.#..#####...##.##..#.#...##.###.#.....#.###...#.###.....#.####.####..##.#.###.#..#.#...###.....#........#.#..###.###..##....#.####.#..###...#.....##...#....##.##.#...#.####.#..#.#######.#...#.....######.#..####.....###.#.##..##..#..##..#...#.####..##.#....##.###..##.#.##....#.##..###......#.###....##.#.####.#..#.###.##..##..#..###..####.#.#.#...#####.#..##.#.####.#..##.#......###..###...#.#.#.###..###.##.#....##.....#..##.#...#..###..##.##.####.#.####....#....#####.......###.#######.#.#.######..#..#.#####..#...#.###....#.####.#....#.#.#...#.......####..##..##.#.#.#..##.##.###.####..####...#..##..#.##.#..#..#.#.#...#..##.##.##..#.#.#.##.#.#####.#.####....#....#.##.#.#...##.#.###.#.##..##..#..#.####..#..######.##.###...####.##.....##..#.##..#.#####.....#.##.##.##..#.#.#..##.##...##.##....#.....#.#.###...###...#..###.#...#....#.#...##...#.##...#.##....#....#....#.....#.#.#.#.####.###.#..##..####..##...##.#.#..###...#.#.##..#.#.#.#...##.##.#.....#.#..##.##.#.##.....#.#.#.##....##....#.#.#.####.#......########...#..##.#.#.##.#..###.###.##..###.###.##.#.#.###.##.#######.##.#.....##.##..####..#....#..##......##...#..#.#..#..#.##.#.#..##.#...#..####.#....###....#....#..#...####.#######.#..####...#.###....####.#....#.#.#...##.#...##..#.#........#.##.######.##.#....#.#..####.########..#.#....##...##...##.##...###.#####.....#.##...#.##...#...##..#.#..###..###.#......#.#.###.#.#..#.#####.####..#.##..#####.#.###.#.##.#.#.#..###..#.##.#########.#.##.##.#.##.##...#..#.#..###...#..######...##.#.#.####.###.###...#.#..#..#...#...#....#...#..#..#..#...##.#..##..#...#.##...###.###.#.#..###.##.##..##.#...###.##.#.##.....#..######.#...##.###.#.###.##.#......#.#.#..#...
.#...#.##.#.#####....##.##.#....#...#.##.#.##..#####...#..###..######.#.#.##.#..#.####...#.###.....#...###.#.#....##.#####..###.#.##...####.#.##....##.#.#.....###...###.##.#..#####.......#..######..###..##.#..##.##.##...#.##.######..#..#.##.#####...###.#.##.#.....#.#....#...##.##.##....#.##..####.##.#.###.........#.#.#.###...###.###.###.#...#.##.##....#.#.####..#..#..##.######.#######..#.#.##.##...#..#...####...##.....#.####.###....#...#.#.##.##.#..##.##..#####.###.#...##....##..##..#.#.#.###.#.....###..###.#####..#.#.#.#.##...##..##.#.#.##...#.###..###..#.##.#....#.###...##...#...#########.#.#.....#.###.###.#.#.#.#..#..#....#.##.##....#......#..###.##.####..##.#.#.#...#..#...#.#...#..##.....##..#.#.#.#.##.###.#....#....##.####..##..####.....##.#.#..#.####..##...#.##..##....##.####.....##.#.......#...###.#.#.##.#...##.##.##.#..##....#..#.....####.##.####..##......####.##.#..#..#..####.#.##.###.##.#.###...#.#.##.#...###.#...##.##.#...#.#...#.##.#.#..#.....#....#...##..##......#..##.##.##...###.###...####.###..##.##.#.....#..##.#...##.###..#...#..######...#.#####..##.#...##.##.##.####.###.#.#.#.##.......########.#.#..#.#..#.###.###.....####.####.#####.#.#.....#..#.#....##...###.#....#.###.#.....####..#..##...#.....####.....#..####.#..##...###.#.#.###....#..####...##..#######.###....#..#..#.###...#...####.##...#.....#.#.##.#..####......#...##..###.#..#.####.##.....#.#.##.....#####.##.#.##..#..####...##..#....#######.......##.##.##.##.#..#####.####.#.##..#.#....#...##.##.#####.#.....#.##.#....##...##..#.#####....#.#...#..##.##.#...#.##.#.#..#.###...##.##...##..#.#...#...#.###.##..##.###..##.##.##.#..#..##...#...#.#...#...#.###.....##.##..##.#.##...#...#...###..#...#.#..##..######...#..##.#...##..#..#.#..#..#.####.###....##.#.....#.#..#....#.#..#.##..###..#....#.#..##..#..#.##.......###.###....#.#.#...#...#..#..##.#..##.#...####..#####..#.#.#.##..####......#.####...#.####...#.#.#.#...###.#..##..#.#..####.#....#...#.###.##.##..#.#.##.##....#.##.....#.#..####.........###..
.#.#.#..#.#....##.#.#..##.##....##.#...#..####.###...#...###.###.#.##.####...##....###.#.####..####..####.####..####..##...#..###.#.#####.#..##..##.#.#.#.#...###.#.#....#.#.##....##.####..#..#.#.##..##..#..###..#.#....###...#.####.##..###.#..#.#......#..##.##..#..##..##.#########.#.#.####.#.#.####...#.#.###.#.#..##....####.###....#.##.##.###...#..#.##.##.##..#..#.##..##.#...#.#.##.#####..#.#.###..#..##.###.######...#.###..####..#..#..#..###.####..#.#.#..#...#....##...#.#....##......#.##..##...#...#.#....#..###.#.###...#....#.###.#..#...###.#.#..####.###.#######.#..#####..#...#....####.#..#.##..####.###.####..#.###.####.#.##.#.###...#......#.#......#.#####.####.#...#..#.###...#..#.#..###.#..#.....#.#....#.##..##.#....#.#.....#...####.#..###.###.#.#..##...##.##.##..##.#..###.##.###...#####.#..#.#.#.######..###.#.###.#.#.#........##...#.#.###...####.#.#.###.#.##.#.###....#.#..#.##.##...#......##...#.##.#.##.###.#.###.####.####...##......#..##.####.#.#.###...###.#.#.##.#..##.###.#.#.##...#.#.#..#....#.###..#.#.##.###..##.##.#.##......#.#.#####..###......##..#.#.##..#...#####.....##.###.####.##..#....#####.######....#...###..##.#..###.#####......#.#####.#.###..#..##.##.....####.....####....##.#..#####.##.#.#.#.#...######....##....#.#.##.###...#####.#....#..##...##....#.#...###......#.#.#.....######....###.#.#####..#.###.###..#.##.#..#...#.#.....##.#........#.#####...##...#...####.#....#.##.###..###..####.#.....#.##..##...#.......#..#.###....######.##.####..#.#..##.####.###...####.##.####..#.####..#.#..##....######.##.#.###.##..###..#..#.....###.#.###.###.######...#.#.....#####.#######..###.....##..#...#.###.#.#####.#.######.##.#....##...#.##.#....##.##.##.####...#..........#.#.##.....#..#...#.##....##.#.##.###.##.#.######..##.#.####..#.#.##.#.##....####.....#..###.#.#..######.##.#.###.........##.##....####....#....#.##.#..###...##..#....#####.###..##.###..#..#######..##.#.########.#..##.#.#.##.##..##.####.......#.##......#...###.###...#..#...##...#.#..###..##.##...##.###
..#.#.######.#....#.###...##..####.##.###.###.#....##..####.#######.####.########..###.###..#.#...###.#.#####..#..#.#....##.####.##..#...###..######.##...#..#..#..##.###...#..#....#..#.###.##.######.##.#.#.###....#..####..##..###..###...##........#....###..#...#...#.#..#...#...#..#.######..####..###..##.##...##.#....###..###..#..#..#..#.##..#.#.#..#...#.##..#.#.###.####.#...##........#####..###.##.#.####.....#.#.#..#####..#..#...##.##.....##.##..##.###....####..#..###.##.#.#####.#.....##.#...#.#.#..##...#.#..##.##..###.#.#.##.#.##.#.....#.#.########...##.###....#..##..#..#.#.####.##.##.#.#####.#..#..##..###.#.....###..####..##.#....#.....####.#.##.#..#.....##.#..#....#.#.##.#.#.#..##...###.#.##..######.#..#####...##..##...#....#..#.#....#...#....###.#.#.#.......#.#...#...##.....#.#.#########..#....#.#...#....#..##..##.###..#.#.##.###....###..####.#..#.#.##..###.##.#...#.##...##....##.####..#.##..#..##############..#.##.....#..#..#...#.#.#.#.#.#.###.....##.#..#..##.#..###.#..##.##..#.#...####..#.#.##.#.###.........##.###.###.###.#.#.....##...##.##..##.#....#.##.#....#.#.#######.##..###.#...#...#.##..##.#....#.#.#.#.#..####.#.#######.######.#.#.###..##.##.........##.#.#..#######.##..########.#.#...#....#.##.#.#.#.#..#..#..##.##...##.#.#..#...###.###......###.##.####.#.####..#.#...#..###.#..#....###.##.....#.##.#######.....##..##.##.#.##.#.#.##....#..##..#######....####..#..#.##..##..###..#.#.###...###...#...##.####.############......#####.#.##.#####.#..#...#....##.#######.....##...#..#.#...#.#....#####..#.##.##.#....###.#..#######...#.....#..###...#..#.#.#..#.#.###.#..##.#..#.#####....#.#..#....#.#....#......#.##.##.##.....###.##.#..#.#.#..##..#..#####.#.#.##.##.#.#####...##.#..##.###..##....######.##......###....#.###.#..#.#...#.#.###...#..#....#.#..#..###.###.##...##..###.####.#.#.#....#.##..#.#.#.####.#.#..#.#...#..#.##.#.#.##.####..#..#.###..#....#####.####.###.##..##.#...#.#.#.#.#..#.##...#...#.......#...###..#...#.##.#...####...###......####.####..##.######.###.
#.#.####.##.....#.##.#..####.#.##...#....#..###..####.#..#...#.##.#.###.#.#.#....##.###...#...#...##..#...###...##...####.#.#....#..#.#.###.#..#.#.#.####.##....#...#.######.###......#...#..#.##..#..#.#......#.##.#..#..#.##.###..####.###.#.#.#.#.###.#.#..#.#..#..#.#.###.##.##.#.#.########..##.##.#....#..##.#.....#.##...#.##.#.#...##.#####...#.##.....#..##..####..####.#....#.#..###.#.#..#..#..#####...#...##...#.#.##.#.###.#.##..#####.#.#..##.#..##...##.##.##.#.###.###...##.##.#..##.#.#...####..##..####..##.#####.#...####.#.#...#.##.....#...#....####.###..#....####...###.....#.#......#.##.####.####...##.#.#.#.#######...###.....#...#.##.##..#.##...#.#####.#..##.####..###.....#.##.#.##.#####...##.###..#..####.######..#......##.#.#.###.##..#..##..##.##.##..#..#......#.##..#..##..#.#..##.###..#...#####...##...###.#...##...###..#..#.#..##....###..#..###..###.####.##..##.#.#.##.#..##.#..#..#.#.#....#..###..######..##.##..###....###..##..###.#####...##..##.#.##.#.#######.##.#####.#.#.##..#....#.#....#.##.#.#.#.#.##..#.####....#.#..#...#...#.#####.#..#.####.##.#..##.#.##.#.##..#.#..##.#..#.#.....#..#.##.###.##....##.###.#..###.#.....#.##.#.#.##.#.....####..#.#.##..#..######..####.#..#.###.###.###.##.....#..#.#..#..#.....#####..##.##.....#..##.#.#.####.#.#....#.#.#.#..#.##....###.##.#......#..##..###..##.######....##..#.###.###.#.#..##.#.##.######.####.##..#...#.#..#...#..#...##.#####..##..#.##.#.#.#......#...#.###.##..##.##.......###.#####..##.###.##.###..#.#.###.##..##.##.#.#.###..##.#.#.#..#.##.#.###.#.#..##.##..#..#.##.###...#####.##....#.##.###.#..###########.#...#...#.....#####.###...############.##...##.##.##...##...#.#..#.###.#.###.#.........#.###..#.#..#.###..##...##.##.....#.....#...####..#....#.#.############.......#...###..######.#.###.#.......#.#....#####......##..#.##..#.......#.#..##..#..#.#........#.........##..#.##.######..#.###..###.....#.#.....#...#.#####..#.#.####.##...#.....#.#.#####..#.##...##.#...##.....#.#.#....##...#......#..#####.#####..#.#.....#.##.##
.#.#####..#..###..#.##..#..#....##..#.####.#...######...##.#..#.####.##..#####.###.#.##...#....###.#.#...#.....#.#....#..##.##.#...###.####.....#..##.#.#..##...#.#...#.#...#.##.##..###.#####.........#..######.#...######.#.....#.##..###..#..#.####.#.....##....#.######..#.##.##..#####....#.###.#.##.##.###.#..####.#.##.##..#.#.....###.#.####...###...##.##...###.####..##..#######..##..##..####.#.##.##..#..##.#....###.##...###..###..#.##..#..#.#.##..##..##..#..##.###.#######....#....#.#..#.###...#.#..##.####.#..#####...#.#.....#...####.##.#..###...#....##...#.#...#.....##.....##.###...#.#.#.#...#.#..###..#....#...##.###.#.#..#.#...##..##..##...#..#.###..#...#........########.##.#...##.##..###.#.#...##.##.#.#....#.....#....#..#.#.##..##.#######.#.#####.#..##.########.#..####.##..#.######...#.....######.....#..#..#.#..#.#.#####..##.#..#..#.#....##.##..#..##.##.#.##.#.#.....#..#..##.##.##..########....######.###..##.####..####..#.##.###..##..#..#.##..###........####.#.#.##.#..#..###...##.####.#.#..##.#.#.....##.#####.##.#.#..##.#..#.##.##.####...###..#...#.#.###..#..##....######.#.#.##.###..#......#...#..#..#..###..#######.##..##.#.#.##.....####....###.#......###.#.#.#..#..##...##..#..##..#########.#.###..##....#..#####.####...#....######.#...#.##.#....#.#...###..##.#...#.##..###.#..##.##..#...##...#.....#.####......#.#####.#.#.#..#....###.#...#.#........#.##....##.##.#.#.##.#.###.##..########.#####.#.####..#.###.##.#.####.###.#.###..#.##.#.#...#.##.####..###..#.......##.####.#..#..###..#..#.#..#..##....#.#...#####..######....##....######..#..###...##..###...#####.#.##....####..#.#..###..####.##.##..#...#.##.#..#.###...#...##.#.#.#.#.#.....#.###.#...#.###..##..#..###.####.#....#.#..##...####......#..##..#..##.##.#..#.#####.#.#.##.#.#...#.###.##.###.###.......####...##..#.......#.##...##.#.##....#.#.##.##....#....#..#.#.#.#.##....#.####.....#..##.##.####.#...#...#..##...#..#.#.#...##.#####...#.###.##.#...#.##......#...#.#...#...##.##....#...##.##.#...##.###...##.##.##..####.
#.#..##.#...##.##.#..#.#..#####.##.#.######.#.#########.##.#####...#...#.##.###.......#..#.###..##.#.##.#.####..#.#..#.###.#.#.##..##...##.##..#.....#.....###...#.##..#...#.##.#.#.....###....###.#..##....#..##.#.###.###.#..##.##..#...#.###...##....#........###.#.##...#.####.#..####..#.....#...##.#.#..##.#...#..##.....#.########.#.#.#..#####..##.##..#..###.#.#.#.#...#..####..###.#...######...##.##.#.###..#......##..##...#.#.##.#..#.......###.##.##.####.....#.##..#.#.#....##.#.##..#...####.###....#.###..###...#.##.#.##..#...##...#...######.####.##.#.###.#....#...#.#.###..##..#...###.#.#...##......####.....#.#.#..#..#...##.####...##....#..#####...#.#..##....#...##.###.........#######...##..###..#.##....#.#.##.#..#...##..###.#..#...#.#.##..#..##..####.#.#####...####..####.###########.#.##...##.#.....#...##.......####.#..#.##..#.##...#..#.........#....##..#.##.###.#..##.#..###..##.#.#..###.#.###...#...#...##.####...#..#.##.#.###...##..#.##..##.#.#.####.#####......#.#....#.#.#.###.####.......##..#########..####...##..#..#.#..#..#..##.#....#.#..##.##.#.##.#.##..#....##...#..#.##...#..##..####..##.....#.##..#...#.#..#..###....###..#######.........#####.##.#.###..#..##..#.#.##..##...###...###.###......##.#.######..#####.#..##.#.....#.##.#.#...###.##..#..#.#.#.#..##.##.....##...#...#..#..#..#.#.##.......##.##..##........#...#....##....#.###...#####..##..#.#.##.##..#..###.##.######..####.#..#.##.####....#####.##.##.##..#.#.##...##.#...#.#.#..###..##..##....##....###..###.....#.#..###.#..##...##.#.##.###.##.#.#####.#.#.#....#...############..#..#.#.#.#..##.##..##.###..###....###.#.#...##..##....#.##.#...#.#...####..#..##..#.#..##.#.##....##.#....##.....#.#.#.#..##..#.#.##..###.#.#.....##..#.####...#..###...##..#.##.######.##.##....#.#.#....##..#....###..###.###....####....#...#.#...##..#......##......###...#...##..##.####....#.####.##..#...#..##.###..#.#...#..##...#...##..#.#.#...###.####..#.##.##.#.##..##.######.#.####.##..###.####..##.##.....###.##.###.#..#.##.####..#..#...##
#.##.##..#.#.####.#.###..#.#.#.##.#..###.#....##.#.####.####.#.####.#.##....#..#..#.#...#...##...#.#.##.#..###.#.######...##....#.#.###.##..####....###.#.#....##.###.###.##...####..###..#.###.#.########.#.#..#####.##.#.##..#..#.####.##.#.#.#.#.##.....#..####...#..#####..####.#.#....#..#..#.#.##.#...#####.#.#.###.#....##..##.#.###.#.#..####.###.#####..#..##.#..#.#.#..#...#......##.#..#..#..#...###.....##.#.#..#.#..#.#.####.#..##...#..#...#####.#.###...#...#..###.#.####.#..##########.#.####.#.#.##..#.######.###...#####.###....###.#....####.#.#..#..#..#.#.#.##....####..###....#.#....#####.#..#.##...##.#..##.###.#.##..##.#.#.##.##.##....#.##.##.#.#....#####.##.#...#..##.#.####.#.#.....###.......###.##.#.#####.#####....#...#..####..##.##...#..##....#...#####..#........#.#.###..#...#.##.#..##.#...#..#.##..#....####..#..#....###.........####.#.##..#.......#....#..#.#.####..#.#.###..##.#..#.###.###.....##...##.###.###.##.##.#.#.#..##.#####..##..#.#.#..##.##...#....#.##....####...##.######...#...#...#.##...#...##...##.#.###..##.##..#.###.##.####.#..#.#...##.#..##....##.#..######.#...#..##.......#..#..##..#.#.#.#....#.#.#..#.......####...#......###...#....#..#####...#..##.#.###...#.##..##.........#.#..##...##.#..#.#...#.#...#...##..##..#..#.#..#####..#.#...##.####.#....#....#..##.#.###.....##.#..##.#..#.#.#.#....##.#.#.#.#.###.##.#...#...##..##.#.#..###..###...#...##.#.#.#.#.#..#...####.#.###.###.##..###.###.#.#.###.#...##.##.#.###..##..#.##..#..##.#...#..##..#.####..#.#...###..##.#.#.##..#.######.##.#...#.#....#..##......#..#..##.##..#.##.##...##...#..#..#...#####......######.####....####.######.##.#.###....##.#.##.##.##.####.#.#.#...##.##.##...#..#.#.#..##...###.#..##.##.###...#....##.######..###.#..#.#.###.#....#.#.##...#.....###..#.#..##.#..###..#..#.#..###....#..##..#.#..####..##..###.#.##..#...#...#.....####...#..#....##.#...#....#.#.#...#.#####......##.....##.##.#..#..#.#..#.#...##...#.#.###.#.#..##.#.##.#....#####......##...####.#######...##...#...###.#.##.#...#..##.#
..###..##..###..###...#.#.#.##..###.##.##.##...###..#..#.###...#....#.####.#.###.#....#....####.###...##.##.##..###.#.#........##.##..##.#.#..###.##...###..##..#####..##.....###.###..########.#.##.#...#.#..##..###.####..##.#.##.######..#..#.##.####.##.##########...##...####.#.#....#####....#####.#.####...#..####.....#.###.......#####.###..#..#.###.#.##.#....##..##....#.##.#..#.###.#...###...##.#.##..##..#...#######..#..#....###...##.###..#.#.#.#######..#.##....###..#..###...#.##...#####..#..########.####.##.#.####.###.#....#.#.#######.....#..##..#..#.#######....###.#....####.#.##....##.#.......#....#.....#..##..#.###.##.###.....#..###.###...####.#.##.########...#..###.###.##.#.#.#..#...####....#.#.##..#.##...###...##.#.#.#..##...#...####..###..###...##....##..#.#.###.######.....#######....###.#.#..#...#.####.##.####..####..###.#....##..#.....#..#..####.#..#....###.....####..###..####..####...##.#..#.....##.....#...########.######.....#.##.##.###...##..#...##.#.#....#...#....#..##....###.......##.#.#..#.##.....#..##.#..#####.....##...#.##.###....####.#...#.####.#.#.#.#......##......##...##.#..##...##.##.#.#..####..##..###.#.##.#.......#.#.##.....#.##..####.#..##..####.#..#.....#.#.#...#....######.###..#####.###.#.#.#..#......#....##..#######.##..##..#.#...#.#..#.#.#.#.#.##.##.#.##....##..#.###..#...#....####.###..####.###.#.#.#.#..######.#...#.##..#..##..##..#####..#####.#.#####.#..#.###.#..##.#.........#..#...##..##....###...#..##..#.#..#........##.#.#.#........###..#..#..#...##....#..###.##...#####.#..###....#.....##..#.....###...##.#.#....#.....#.######...#..####...#.###.#.##.#.#.#.....#...##...#######......#.##..#.#......#..###...######.##..####.#...#.....#.#.....#..#.####..##.#.####..##...##........##.#####.#..####.####.#####.##.###.#..#..#####.##.###.#.##..#.#..##.##.##..###....#.#......#..#.#######.##...#.###.####...##.##.##...#...###..#.###..####..#..#..###........#...#.#..#....###...##...###..##....#.########..####...#...#...#..#.##.###..#.###.######.##.#.##
...#.#..#.##....##..##.###.#####.#.#......#..#.#.#####.#.#....#.##..#..#......##.#.##...##..#.#...##....###....##..##....###.######.#..##.##...##..##...##..#.#...###.#.##..#.....##.##....#####.##...###.##.####.....#.#####.#.####.#.##....####..##.#####.##..#####.#.#..###.#####....#.##.##.#.#.####.###..#.####..###.#.##..#.#..#...#.#...#.#######..##.#.#....#.#.####.#.#.##.##..#.#..#.####..##.#.##...#.###...##...####....#.#......#..###...#...###..#....###.#.####.###.#..#...#.#.#.#.#.#.###.##.##.##...##.####....#..#...#####.#.#...##.#.####.####..#.#.#.###..#...######...#.####.###.#..#.....###..##.##....#..###.#..##.##..##...###...#.##.......###..#..#...#.###..##.##.#..###.##.###.....###.##..#.#.#...#.#.#####..##.#..###..##....#.##########.##.###..#.#..##...#.#.##..####..##.#...#..#...###....##.#.###..#.#.#..#...###.##..###.#..#.#...######.#.#######.##..#..##...##....#.##..###......#.#.....###.##.#....#.#...####..#........#.##..##.....##..##.######.###.#....###.####...##.##..###....#..#.#.#.....#####.#..###.#...#..#..#.##..##..#.####....#.#....##.###......##.#..#..#.##..##..#..##.#.####.#...#...#........#.#.....##..#####..########.....#.#.##..##..#..###.##.##...#.#.##.#.#.##....#.##.#.####.##..##..#.#.##.#...####.##.####...#.####..##..#.##.#####..##.##..#.#.#..#.##....###.#####.........#.#.#.##...##..##..####.#.##..##.#.######.###.###.#.....##.#...#.#.##.##.#.#..############..####....###.#....#......###....#........#.#.####...##..#.##....##...###..#..##.##.#.#.#.######....#..#..###.#######..##..##..##..#.......#.#.##.##.#....#.#.##.#...#####.##.###...###.##...#.#....#.#...#.#..###...##..##.#.###..######.####.#.#..#..##....##...#........#..#...#.####...#.#.##.#.##..##....#.######..##..##...#..#..#..#....#.#.#.#######.#....#####.##..#######.#......###...##..##.######..###.#..#...###.##.#.##.###.#####...#...########..#.####.#....##.#...#.#..#..#####..#.###.#.#..##.###..##....##..###..#..##..#......##....##....#.#..##..#..###.#.######.#..##..##.#.###.#####.#.###..#......#....
.#..##.##..##..##.###.####.#..#.#.#.#....##.#.##.#.#.###.##...##.##...###...#.#.##....##.....######....###.#..##....##....##.###..#.##.##....###.#.....#.#..#.#.###.#####..#..#..###....#.###.####..#...#..#.###.....#.#.#.#.##..##.#####.##...#..#.#.#.##.###...###....##...####.#.#..##.....##..###.##.#####...#....#..#.#.#.###.#.##.###.#.#..#####.##.##.#..#...#.#..######.#...#..#..#..#......#.#....##..#######..##.##.#....####..#...##.##.#..##.#.#.#.#......##.###.##..#.##..##.#.#....######....#...##.##..#.###....#########.##...#.#.......#....##.##.#..........####.###.####.#...#...######...#...#.##.#...#####.#..##.#.#.####..#.......###....#.....###...####..####..#.#.#####.#.#.#..###..###.###...#.##.#.####..##.....##...#.#..#...###..#.#.......#.....#.###..##..##.##.....#....#...#.#....###.#...#..###.#...###.#.##..###...###..###...#..#..#.####..####...#.#.###....##..#...#...##.###.##..##.#..####..#.##..#######.#.##....##.#..#.....#####.###.....#....#.##..#...##.......#.##.#.#.##......#.#...#..#.#######..####....###.#########.#...#.#.#..#.#..#.#..####..#.#..####...#..###..#.....####.#..#.#..##.#...##.....#....#..#.#..##.#..##...#....#.#####.##.#######...#.##.#.#...###.####.....#..###.######.######.#.#......#.#..#....#.##...#.#.#.###..#####...#...#.##.#..###..#..##.##...###......#.####..#.##..###..##.#..#..##....##...#..#####.#####..##..##...#.##.#.#.##.##.#.###..#####.#..######..##.##..##.###...##..##.#..####.....##..##..###..####.#....#.#.#.#.#..#...###...#..##...#....#...##..##.#.##...#.#..#.##....#.......##..#....##...#...#.#.#######.#.########.###..##...#.#...#.##......#.#.#...#..#.#.###.#.##.##..###....#.##.#......#.##.###...##.##.#..#.....####.#.#####.##.....#.#....######..#.#..#.#.#.#..##.#.#..........####...#..#....#....##...##.###.#####.#.#.####.#....#......##..#.#..#...###..###.###.###..###..#.#..#.#.###.#..#.#..#.#......##...#.#..#.#.##.##.#.###.##..##.######.##...###.##...#.##..#.#..#....#######.###....#.#.....###.#..#.##..#.#.##..##.##.#.###.#....##..#.#..##.###..
..##......#...#.#.#.##..###.#.##.#..#.##...##...##..####.......###.####.##....#.#....##.##......#.#....#.#####.###...##.##.#...###.###..####.####......#.#.#.#..#.##..####.#.#..#.#.###..###.#..####..##...#.##.....##..#.##.#....#.###.###.#.######.#..#.#.#.#.#.#..#....#.#####.#####....##..##......#..#...#.###..##.#.#.#.#.##.####...#..#...#.#..####..###.#.....####...#..#.######..##..#.##.#.#.###.##..#..#.##...#..#..#.###..########......#.##..##...##...#..#...#..##..#...#...#..##..###.##.#..##...##.##......###.##..#.###...####.##.#...##..#######...###.#..#.######..#.#..##.###.#.##..#######.#..#...#..#....####.#..####.##..#.####...##...#..#.#..###......##.###.....##.###.#####.###..#..###.####.....#.#.##.###......#..####.##.#.......##..##.###....##.####.#.#..#.#.......##..###..#..###..#....#..#.##.#..###..#..##.#....#.#####..###.....###.#####...##...#.##.#.###########.#.##.#####.######..#.##..#####.....#.###.#.###.###.##..#.#..#.#.#####.#.#.##.#####.####.#....#...#...#.#..###.#..#.###.#..##.####..##.#..#.#########...#..#.#..##....#######.##..#.##..###.###.#.....##...#.#...#...##....#...####..#.##..#.##..#......##.##..#.#.####.....###....###...###.#..##.....##..##.###.##.##.##.#.#..#..##..##.#.#...#..#.#..##.#####.##.##.......#####.##.##..##..#....###.##.##.....#..#.#.#.##.....##.#..##.#.##.##.##..##...##...##.......#.##...#...##.#####..###.##...##.#..#..####..###.#####.####.......#.#.####.#..##..#...#..###.#.#.......##.##..##.#.####.#.####.###...##....#.#.#.####.##.#.#.#..#.#...#.#.##....##.#.#.....#.#.#..#....#.###...####.#.#.####..#######..#..####..#...###..#.#.....##.#.#.#..##.#.#########.#...#......#.###....#.##.#.#.###.#######..########.###....#.#.###..####..####..####....#.####..#.##.##.###...###....#.....#..#..####.#....#...#...###..#.###.#.##..###########...##.#..##.##.#.##..#.##..#..##.#.#####.##.#####.###.##.##.###...##.#..###...###.##..#..#..######.....##.##......#.#..#.#####.##.#.#.#.#.#....###.#.####...#.####.#.##.#.######.#..#.###..#..##..##..#..##..####...#.
..#.....#..#...#######.###.....#####.#.#.....#...##....#.#.###.#.#....#....#.#......#..####.#.##..##..#.###...####.###..##....##.###..#.#....#.#.#.###..#.#.#..####.##.....##..####.#.##.#.##...#...##..#.#.#.##.....#...#........#.#...###.###.######.###.####...##..#..##....#.##..###..###..##.#.####.#.#..#.....#.#..##..#..#.##.##....#....##.##.#.###.#.##.#..######.###...#...#.#..####.#..##.##.#.##..######.#.#.#######....#.#.#...####..##.###...#.###...##..#.#...#####..##...###..#..#......##.....#####..#####....##..#.##..###.###......#.#....#.##.#...#..#..#.....###..##..#..#...#.#..#....#..##...#...#.###.##....##..#.#.###..#.###..##..##..#.##....#....###..#...#..#..#.........#.#####......#.......#.#####....#.####...####.....##........#..##...#.##..#.#####.##.##.###...#.......######.#..##.#.#..#...##.#.#.....#######...###.#..#####.##....#......##.#.#.#..####...###.#..######..#......#.#####.#.###.######..#.###..####.###.##.##.#.#..##...#..#####.##.#.#..#.#..#.##.##...#.#..##.#.##.#.########.#.#..######....##.#.###.####.....##.#####.##..#.##.##.....#....#####..#.#.#..#.##.#.#........#..#####.#..#.#.###.##.#..####.####.#.##...#...###..#.##...#.##.#..##.#..#..##.#######..#....##..####.#.#.#..##.#..#.#..##..##...#.....#.##...###..#...#...####...#..#...##.....#.##...###.###.###.#..#.#.....#.####.#.#..##.###.###.#####.###...##.####....##.####...#.#.#..#.####.....#####..#####...#......#....#..#.###.###.#...##..#...#..###...#.#..####..###.###...###..#.##.#...##..###.#.########.#....#.###.....#.##..#####..#..#.#.....#..#####..#..#.###.#..#..#...#....#.........###..#.##....###.....#..#..###.#....#..#....#.#.#######.#.##.##.###..##..#..###.......###.#.#.#...###..#.#.#.##.#.#.#.#...####..#.#..#...#.#.#####...###.#..##........#..#.###...##.#.###.#...###..#...#.#...####....#..#..####.#...##.###..#..#..#..##..#..###.####..#.#.##.###.###.##...###....#...#.#.##..###...###...####..#.#..#.#..#.#..##...#####...##...###...#.##..##.###....######.#.#.#.#.#.##..#.##.#.##.##...##..#...##.###.#.##..
#.#.#.###.#.###.#....###..#.#.##..#####.....#....##.#.#.#####..##...#...#.#####..##...#.##.#.#####...##.###..#.#..#.##..##.#...##..#####..###..#.##......#....#...#...#.###..##...##.#...#.####.##.#.#.##.##....#....###.#.#.###..#...##..##.##.#....#..##..#.#.##.#...####...##.#####.#.#####....#.....#..#.....####.###..##..#.###....#.###...#.##....#.#.###...###...#.#......#.###.#.####..#..##.#.##.#...#..#.##.###..###......###.#.#.####.###.#.#....#...##..#..##..#.....#.#.#....#..#..#.#..####.##.#.#.##......##.#.#...####.#..##.......#..#.#####.####.##.#..##......##.#..##..##..###......##.###.#..#..###..#...###..##.#.#.##.#..#.##.#..#..##.#..##...#.####.####..##....######..####.#......##..###.###.#.######...#.##..##.#.#.#.......#...#....#.#.##.#.##.###..#..##..#.#...#.##.#.....#....#.##..#####.#..##..#######..#...#..##......#.##..#.#.##..###..##.#########.#..###.##.#.#..##..#.....#...##..#...##..##...###.....###.#...#.##.####.########..###..##..#...#.#...#####...###..#.##.##.####.#..##.#..#.##..##....#....#.#.##.###.#.....#.#..###.#.#.#.##.###.#.#..##.....#.###.#.###.#.#.#.#.##.######.#.##.#########..##......####.#....##...##....#####..#####...##.#..#...###.##.###..#..#.##.##...##...###.#.####.####....####..#.#..#.#..#.#.###.#..#.....###..##.#..##.#.#.##.##..#.....#.#..######....#..###..#.######.#########.#.##..###...#...#...#..##.#..#..#.#.#..#...#.##.##.##..#.#.####..##.#..#..#.##.#.......#..##...####.....#.....#####..#####..####.........###.#.#....##.##...##.#....###.#.###.#.#...##..##.#.##.#..###.###...#....#.###.#...#..#..######.##..#..#.##..#.##.#.###...####.####.#.##.##........##...#...#.#...####..#..##..##.###.####..####.#.###.....#...####.#...#..##.#.###.#.#...#......######..####.###.#...#...#.#.#..##...###.######..###..###..#####..#.##.######..##...##.#....###.#..#.#.##.##..#...####.#..#...###.###....#.#...##...#.#.#..#...##.#..##....#####....##.........#.##.....###..##..#...###..##.##..##..#..#..#.#....#....#....##.##..#...##..#.##.#.##.#...###.########.##...#.#.#
..####.#.####...##...#.....#.###...#.....##.#.#####.###...####.######.##.#.#.##..##..####...#..###...##..##..######..#.##.####.#...#.#.####.#..###..##..##.#.#....#...##.#.###..#...##.....###.#....#.....#.......##.#..#.###.##..#.##.##.....#.######..#.#.#..#.#.#.####.........#.##.#..##.###.....#........##..#...#.##..##..######......##.###..####.######.####..#.###.#.#.####...#..#..###.####.#..#.#..###..#....####.##.#..##.#.#..####....#.##....#.##........#.##...#.....#..#.##....###.#.###....##.#.#.##..##..##.#..##.....#.#.....##.#...#.##.#.###...#.#.#.......#.#.##.##...#.##.#.##.#....######.#.#....#.....#.##.#.####..####..#..#.#..#..#.#.####.#...#.#...#.######..#..##.....###...#######..##.#...##.#.#.##..#..##....##...#.#..####.##.....#....#..###...###.##......######....##...#.#.#.#.#.#######.##.....###.#.##..##..#.#####.###..#.####.##.#...##....#...#.####...#..###..###..##..##.#####..#.#.##....####...#..#..#.##.##.#..#........#.#.#.#....###.#..##.##..#.#.....###...#.###....###..##.#..#.#.#.####.#..####....#########.#.######.#.#.#..#.######...#..###.#...##.###.###....#...##.#.##..#####.#..#####....#..#.##..##...###...#...###..#..#.#.##...##..#.#....#..#.##..##..##...#.##...#.#.#.##....########.##...#####....#...##..#..###..#...#..#...##.###..#.###....#.#.###..##...##.#.###.#.....#..#....#.###.....#.###..#..##.#..##.#.#.....#.#.#..#..##..#.....#.#.#.#.####...##.#.##..###.......##....##..#.####..#.#..#.#.#.##.....##..#...#.###....#..#####.#.####.#......#..##.#.#.###.##.##.#####..#.#.##.##..#.#....#.#..###...##.##.###...##.#.###.....#.#..###...######.####.##.#....##...#...#.....#....##......##.####...#.##.#.#####.#....##..#..###.#.###....#.#......######.#..#.#...#..##...#.######.#.####.....#..#..#.#.#.....##.###..##...##..#.##.#..#.#.###..##.####.####..#.##..#....#.###.#..####....#..#.#...###...##..#####.#..#.###.#....#.......###..######.#.##..#.#.###.###..###.##...#.##.###.#..##....#..#.#..#....##..##.#.#.#.#.##.##..#####.....#.#####.#........##.###..#....#...###..##.#..#.
.#.#....#..#.#..###..#....##..###.#.####...#.#.####..#..#..###....###..#####..####...##.#.###.....###..###.#...#..#..#####..#.#..#.######.#.#.##..##...##.##..###.#.#..#..###..##....#.#.#..#....#.######..###.###.....###.###.##.#.#..##...#.##..###.....#...#..###..#..#..#.###.###.#...#######..###.........##.#.###..##...##..#.####...#....#.##..#..#.###..###..#.#.###....#...###..#...##....###....##.#..###..#.....#....########.##..#.....###.....##.#.#.###...##.#.##..##.###.##...#.###.##.#.#..###....#..#####..##.##..##..#....###.##.....#...#...#.#....#..#.#...#..##..##...###...##...##.##..##...##...#..##......##..#.#.###.#.#.##...#.##.#.##.###.#.###...#..####..#.##...#..####.########.##..#.#..#.#..##.##...#.##...#.##.#.#..#.##...###.##.#..#.##...#.#..##..#.##.#..#..#.....#...####..#..###.#.#......####.#.##.#.######.##.#...#.##.##.#.###.##.#########.#.##..#...#.#...#.#..##########....#....#..##.#..#.####.#...#.#..###.#...#.#...#..#....#...#..#.#..#######.###.#.....##..##..##.##.#.#.##.#...##..#...#.##.#...##..#.#.....#..#####.##.....#.#.##....##....##.####.#.#.#.#.#....###.#.#.....#.#.#...#....###...#.#......##.##.#...###.#.##...##.##....##........#..#.#########.....#.#.....##..##..##.##.#.#..##...#..#.#.##.#..#..#.#.##....#.##.####..#...##...####...##.##..#...#.....#.#...#.#....#.##......##....#.##.########.#..###...####.###.##..#.###....######..#..######...#....###....#.##..###.#..####.....#..#.##.####...#####.##.####..#.##.....#.#####..#.##..###..#..##.#.#.#.......##..####....##.#..######..##.#.#.....##..#.###...#..#...###.#.#.##.#..######.......##..#......#..#..#....#.#...###..#..##..#####..###.#...#....#.###..#.##.###.##..#..#..#...#....#.#..#....#.#.........####..#..###...#.##.##..###.#.##...#.###...#......##.##.#...##...##.###.#.#.....####.#.#..###.#.###.##.#.#..#.#.##.##..##...#....#.##.###.#.#....##..#..#..#...##......##...####.##...##..###..#.##.#..#..##..#.###..#.##..###..##.####.##.#..#..#.###.##...#.###.#..#.#..#...#..#.##..#.....##.##..#....#.##...#.#.#.#..#..
###.#.#####.#.#..#..#..#.###....#...#..#.#.#..#.##.#.###.#.#.#.#.####.#.#..###..###.##.#####..#.#.#.#..##.#######.#..##..#..##.####..#...##.#.#..#...#.#....#.#.....#....#.#.....######.###.#...#.#.#..##.#.###..##....#.#.#.###.##.#.#.#....#.##.#.#..####.####.....##..##.#.##...###..#...#..###....#........##..#.#...#..##.########.#.#.##.##.#..#....#..##...#.##.#..#....####.##...###.##.####....#.#.#..##...#.#.....####.##.##.####.###...######.###.##.####.#...#..##.#..#######.#...#..##.##...#..#...##..#...###.#.#.....########.#.########.#.#####....#.#.###...##..###...###.##.#.#..#.####...#....#.####.#.####.#.#.#.##..#..##...###.#........##.#...#...#####.#..#..#.##....####.#####.#.#.#...####.#.##.#############.###..####..#...##.#.##..####.#......###.####..##.########....#...###.#.#.##...#.#.#.##..######.#.#.#.#..#.##.#.#.##.#.##.###....#..##.#.#.###.#.#..#..#.###...#....##..##.###..#.#.#.####.##.#..###.###...#.#.#.#.###.....###......###...##.#.##.#.##........#.#.###.#...###.#..###..##...####.###....#.##.#.###..##.####.##.###....####.##..##..#..#..##.####.#..#.###..#..###........#...#..#..##..#####.#....##..#..#..####.#######.#.#..#######...##..####..#...#.#.#.#...##.....#.##..#..#######.#.#.######..#..##....##...#.......#..#####.###.#...#..##...#.#.#.#.##.....####.##..#..#..##.#.#.#..##....####.#.#.#.##....#####.#.#.####.....#######.#....#####.###..####..##......#.##.####...#..#..#.#.#...##.##..#..##.####...##.##.###....##.#####.#....##...##.####.....######.#.##.#.##..####.#..###..#...#.####..##.#....#.####..#.#..##...#...#.####....###.#.###...###....#.##.##....##.###.###..##...#...##..######..#.#.####...#.#......###..###########..#.#..##.....#..##.###.#.#.......##.#.##.##..#......#.#.##.##.####...#....##..#.#.###..#..####.####.##.###.##...##...#..#..#.#.##..#######.#.##.###..#..#..##.####.##..##..##.####.#.##...##.#.##..####.#..#######.....#...#....#...#...#.####.#.#....###.#..#.#...#...##...##.##.##...###..###.##...###...##.#.##.#.#.###..#.##.#...##....#..##...#..#.#..#..
#.#.....###.###....#...###.#...#.###..#....##.##.#####.######..#####.##.##.#...##..####..##.#.....###.#.#.#..###...#.##..#..#......#.#.##.###..##...#.#....##.###.#.#.#.##.....#######..#.##..##..#..#####.###..#######..#...#...#.##.....###..#####.....#..##..###.#..#.#....#.#..###.##.###.##..#.#..#.###........###..##...###.#.##...#..#.#.####..#.##.##..##.#.#####.#...#.#....##.#.....##....#.###.#.#...##..##.########.##.#...#...##..#.#...#...#..##.#..##..##.#######...#####.##..#.##...##.#..#........#..#.#...##.####.#..#..###..#...#.......#....#....##....#.#.#..#..#.##.##....#.##.#.##.###...##..###.###..##..##.#..#..#....#..##.####.#..##..######.##..###.##...##..##.#.#...#.#.##........##.#.#..#.#..#......##...#..#.###.##.###..#.##.#..######......#..#.....###..#.#....####.#.####.##..###....#.......#####..##..#.####......###...#..##.#.####...#.####....##....#.#...#...####....#........##.#..#######..##.###..#..#.#....#.#.#.......#.#.#.####..###..##..#.#..#...###.###..#....#.##.#..#....##.####....#....####.#..#.###.#.#....#.##.####..#...#...#####..#.##.......#.#.##..####..##...#.#.......#..#.######.#.###.....#.#..#.##.#..##..#.###.#...#...##..#....#.#...#.#.########......#...#.###..###.####.#.#.############..#..##.####.##.##.####..####.##...#.##.#..#####.##.#..##.....####..###....###.#..#..##...#..##....##.##.#.##.#.#.#..##.####.#.#.##..#.....#.#####..##..###.##.#...###.##..#.###....#####.#####...#..###..#..##.#.#.####...########.#...#.##..##..##...####....#.#.#.....##..#..#..##....##.#..#.....####.##.#...#....####.#.#.#.###.##.##.#.#.....#.#.#.#..#..#.#..####...#.###..##...##.##.##.#.#..#..#####.####.....#..##.#.#..####.#####.##.#.###.....##..#.....#.#.#..###...#.#.######.##..##..#......#.##....###....##.##.###..........##.##......#..##.##....#...##.#...#.##.#..#...####.#...######.#.#..#.#.###..#.....##...#.###.#.#..##..##..##.....#..#...##....#.##.####.#..#...##.##...#.#..##.#..#..#.##.##..##.###.##.##........##.#.#.....#......###.#....#..###..#.....#..#.####...#.##...##.#.
#.##..##.##.###.......#.###...#..######.###.#.#....##.#...#####....#.#....####..###.###.##..#..#.......#####..#....##...####.##..#.#.#........#.#####..#.##...#.#..#..#..#.######...#####.##.#.#.#.#.#.#.#.#..#.#..###.#.###..##.#.##.##..##..#....###.####..#.#.##.####.#.##.####....####...#.#..##......#####...####.....###..#.#..#...##...##.#.......##.##..#.#.####.#######...###...###.#.#.#..##.##.###.##...##.##...#.#..#.##.#.###..###...###..##.#.#.#.#..##.....##...######..#.##.##.#...###.#.#####..##.###...#####.#.#.#.#..##..#####.##.#.#.###..#.##..#..#..#.###...##....##.....#.#.#.#.##.#.##.##..####..####...#.#####.##....####.#.##########..##..##.##..###.##....#.#.##.##.##...##.#.....#..#....###...#########..#.#..###..##..#.###..##.##..#..#...##.#.###..####.#.##.......#.#.##.###.#.##.#####.#..##..#####.#...#.#.#.##.##.####.##...##.......##..#.#.#..##..##.##..#.####..##.#....#..###...##..##.#.#.#...###..#.##.#.......#...###.#.#..#.#.#.#.#..#.#.##.##.###......#.....####....##...###.######.#.....##....####.....#..#.#.###..#.##...#..##..###.#.######.##..#.#...#...##..###.#.#.##....####.#####.####..#.##.#..#.#.#.#.#.#.#.#...##.#.#..##..##..#...##.#...##..#####.##.##.#####.#..###..###.##...##.####.###.....#.....#.##....###...#.....#.######...#..####.#.#.#######...##.##..#.##.##..#######.##.##..##.....#######.##..#...###.#....##...##...#...#.....##.#.###.###.#...#######.#....###.##......##..#..##....#.#..##.######.....##.#.#.######...###..#..#.##.##.....###...##..#...#.#...####.#..##..#....#..#......#.####......#.###....##....#..##......####..##.#...#...#.##.#.#.#.###.##..#.####.#..##.#.##.#.######.##.#.#....##.#..#...###.....#...#..#.#.#.#.###.##...#....#####.#.##.##..####.#.##.##..#...####.##.#...###..#.#..#....#...#....#.#.####.#.#..#.....#.##..#.....#.##.##.###..###..##.##.##..#.##..#....#####.#.#.#.####.#...####.####.#.#..##...#..#####..##.#.#...#.###..##...##...#...##..#...#.#.###....#.#.#..##.####.##.#..#.##...######.##...####.##.#....###.##....#.#..###.#.....########.#.#.
##...##..#....##.###.###.#.####..#....##....#.#..##.#...#.##..#.#.######.#..#.###..#........#..###....###.###.##.###.###..#...##..#.#####.#.#.###..##.##.##.###.##..###..###..#..####..#..#.##.#############..#.#...##.##.#.#...#.###..####.##..#.....###.##..#..##..#.#..#.###..###..#...#....#...##...##.........#.#.##.###.........##.####..##....#####..####..####....##.#....###..###..#...####..#.####.........###.#.#....#..###.#.##.#..#...#...#.##......#.##..##..##.#.##....#.###..#..#..#..##...#.#.##.####...#.#....##.#######.#.##..#.#.###...####.#..#.#.##.##.#.#########.....#...#....#.#...#..#####.##.##....#...######.####..#.#..#....#..#.###....#####.#.#.#.##..###......###.......#..##....#..#.###.#..#.##.#####.##...#..#.#.##.#..##..##.###..#####.####.###.###.###.####.##.#..##....#######.##..###..#...#.#.#...###..#.#.###..#...#####...##...######..##.##..#.##....##.####.#.#..##.##..#######....#.##...#....#.#.####.#..##..##.##.##.#.....##..##..##..#####...#.###.#########.###.####..#.#.###.#####..#.#...#.####.###.#.#.###..##..###....#####.#.##.#.##..##...###.#.##.####..#.#.####..#.##....##..####..######....#...###.#....##...############..##.#.#####...#####..#..###...#.....##...#####.#...#....#.######.#######....###..#..##.#.#.#.##....#.####.###.#.##.......#...###.#.###.#....#..#..#...#......###..#.#.#............##.#..#...#..#...#....#.....##..#..##...##.####.....###.##.#..#....###.#....#......#....#..#..#....#....###.....##.#.###..##...#######....####.##..##.##.#.###..#...#..########.#.##...####.##.#.#........#.#.#..##..##.####.#.######..#...#..##.#.#.##.#.#.#.##....#.####.######..#####.#..#.####..##...#..#.##..#.###..##..#...#####....####...###..#...###.###..####.###.##.##...######.####.##..#...#..#..#.#####..##...###...#...#....#.#..#####.#.#.#.#....#.#.##....#...##..##.#.##..#####.##.#.#...#...#######.###.#.##..#..##.#.###.#..#.###.#####.###.##..##..#...##.#..#..#.###...#..##.#.#.######...##..#..#...#..###...###...#.#...####.#.#.##.####..#.#....#...#.#.###....#.....##.###.#
#...#....#.####......#..#############..###.#.#.##.####.....#.#...#####..#.#.#.#...#.###.#..#...#####...##..#....#.##.#.#..###.###..####.##.###.#....##..#..#..##..###..###...#.#.###.#.##.##.##.####.#.#...#.#..##...#.#.##.#..#.####.##.#.##.#.#......#....#.#.###.##..#...#...###.#..##.######......##....###........#..#.##.#.##..#.#..#...####.##.##.##.###.##.#.#.#..#..#.#..#..#...#...##.....##..###....########.##..#.###....#######..####.##.####.##....#..###...#.#...#.#...#...##..#.#..##.#.###....##.#####.######.#...####.#.#..#..##.....#.##..##.##...###......#.#..###########....##.##..##.#.###.#.#........#..#.##....#...#########.###.#..#..##.#.#####..##.##....##..##...####.#...##.##.##.#.##.#...##.#.........#.#####.#.#..#.###...#.#######..#####..#.#.##..#..####..####.#.#.#####....#.#....#.....#...####........###.###...##.#.#..#.##.##.#....#.####.##..#.###.#..####.##......#.##.#.#.##.#...#.#######..#......#...#.##.#...####.##..#..#..#.#.##.######.###...#...##.#.#.##..#....#......#.#..#.##.#...#.#.#..#..#####...#.##.......#.######.#..#########.#..###.#.##..##....##....#.#....#..##...##.#....#.#####.##.##..##.##.#.#...#..#..#.#..#.####....##.##.###..#..#.##.#.####.###.##.###.#.##..#.##..#.###.#..##.##......#...#.....#.##..###.##.###.####.##.###.###.#####.##...###.####.#.###.#..#.#.#.###.#.##.##....###..####..#..##.##.##.#..#.#...#.######.#..#.#.#..##.##..##..#.#..#..###.####.##.###.......######....#..#...#..###.#..##...#####...###.#...####..#..#....#####.......##..#.#.###.#...#..##...###..###..#.#..#####.##..........#.##.####...###....###.#........##..##..#..#.#.##########..#...###..#...#.####.#.##...#.##.#.##.##.#..#.#.##.##.##.#...#..#..#....###.#.##.#.##.#....#.#.....###..##.##.#..##.#..#....##..#...#.#..##..#.#####...##....##..##...#...#...#####..#####..#.#.#..#..#..###..#.#..#..#.#.#.#.##...#####...######.###.##.##.#..####.....###.##...#..##..####..#.##.#.##...##....#.#..#..######.#..#..#.###..#.###.##.#.##.##.#....#...#..#.####..######.##.##.##...###.#..##.##..#...#.###
#.###.#....###..#####.#.....#.##..#.....#####.#.####.#......##........#....#..#####...#.###.#.#.####..##.##.#......####.#.##..#......#.#.########..#.##.###.##.#####.#.###.##.....#.#.#.#..........##.##..#.##...####.#..##....#.#.#..#.##..##.#.#..####..#....###..###.#####..#....#.##....#...#..####.##.###..#.#####.##..#..#.#.#####..###..#..#.#..####...#.##.#...##....##.....###.###.#....#.######.#.##.#..#.#.##...##.#...#..####..#.#####.##.#.#.##...#.#.#.###.##.#....#..##.###.....##..#..#######.....###...###.##..#....#.##########..##..#..##.##..#..#...#.#..####.##.#.#....##.#....######.#...##......##...##...###......#..######..##..#...#.#######.##..#....##.#..##.####.#.#...#####...##..###.....#.#.##..##.#.....##...#.#...##..###########.##.###...#.#......##..#.#.#..#.##.#...##########....##..###....#..###...#..##....#.#....#.....#....####.....#######.####....#.#.####.##..#..#.#..##...#.#.##.#..###.#.#...#..#..##.#....##..##.#.#.###...#..##.#.######...######.##....##.#...#...#.###.##....##..###########.#.....#....###.##.#...###.##.#...#.#.###...#....##.#.##......####.##.#.##......#.###.##.#.##.##.##.#.#...###.#####....#.#.#.#..#.###....#...##....##.#####..###.##.##....###.##..###.####.#.#...#.....#..#.####.#.#........#..........##.#...##.#.#.#.#.##.#.####.###.#.#.#...##..##.#.##..##..##.###.####.....##....#.###...###...##.#.##..#.#....##.#..#.#.##...#...#..#..###..#.##.####.###.#.....###.##.#.#.###....#.#..#..#..#.###.##...#.####..#...####..#..####..#..##.#.####..##..##...#.......###..#.###...##..###.....#..###.....##....###.#.#....####....###.##.#.###..###.#..####.....####.#.###...####....#.##..#####...#..######.##.#.##.....###.##.##.##...#..##...#####.#####..###.###.#.#..##..##..###.....###.######......#.##..##..#..#...#######.#.##...###..#####.....#.#..#.#########...#..###..#..##.#.##..#.##...#####..#..####.....#.....#....#.##...##....##.#....##.##.#####..#######..####...#.####.###.....#.#.##.#..###.#.#...#.##...##....#.##....#..#.#.#..#...#####...##.#..#.####...#..#.#.#
##..##....###.#...#####...##...#..#.#....######.....#..#.###..#..##....#.##.#.####..#.###.#.#.#..##..##.#..#.###..##.#.....#.#....#.#...#....#..##.##...#.##.##...##..#.##....#..#.#.##..###...#.#.###..#.....####.###.#..#....#.#..########.#..####.###.#.##...##.....##....#..#..#.##..##.#.####.#.##..#.#..##.#.#...##...##..#.##.#.##..##.###..##.#.#..###..#..#.##..##.#...#..####.###..###.#....###.###..##.#.#.#..#..##.#.#..#.##.###.##.#..#.#...#.#.#..###.#.###.##.###.#....####.#######.#.#.#.......###########..##.##...##..#######.#.#.##.##.#.#.#.###.#....#..##.#.#..##..#.#.#.##.#..###.#...#..##.#..#..#..##....#..#...#.##.##..#.##.##......####...###.#..#..##.###.#...###....#....###..#####.#...##.#...#.#.###.###...#.#......#.....#..###..#.#..#####.#.#...#..###..###..##.##.##...#...##.###.#.#..##.#.###.##..#..#..#.###.#######..##...#...#..###...########..#.#.##..#######.###...#######..#####.###.#.#.#.#..#####..#...#.###..###.#..#.##.#.###.##.####..##....######.#.###..##.##.#.#.#.....#.#.#......#..####.###.#.......#.#....#.##..####.#..###...###..##.#..###.###..#.###.###...#.###.#...#.####.#.##...#..###.###.#...#.#....#.##.####........#.###....#.#.###.#..#...###.#..#..###...#.###....#..#.#####...####......#.###...###..#..#..#...#..#.###.##...#....#.#.#.#...##...##...#.#..#....##.#.#########.#.#..#........#.#..#.##...###.#....####..#.#.#########....#####.##.##.#.#.#.#.#.#..##..###.......##.#.#.#.#...###.#...##.##.....####.#.#.#.##...#..##.#..#.....#######.....#.#.#..####.####.#.####..##.##.#.####.....####..#.###.####....###.#.....#.##...###.#..#..####.####.##.#...###....#.....#.#....#.######...#.#.####....#.##.#.#.###..####..#.##..#.##.###.#....##.#.##.####.##.###...#.##.##.###.##..#.....#.###.####.....####.##.#.###.#..#......#...####.##..#..#....#.#.#...#..#.#.###.##..##..#####.#..##..#######.##...###......#.##...#...##.#####.......#..#.#.###.##.##.#....#####..###..####.#....#.#...##..####.##.##..##.###....####..##.#.##.#..##.#...#.##.#....###.##..#####.#.##..###..#.#...#.#.....
#.####..##.##..##.##...#..##########.#.#.#...#.##....#..#.##.###..#.....####...#.#.##.#.#.##########.###..#.......##.##.#..#.##..##.#...#.#.#.###.#.##.......#..#...##.#.#.###.##.#...##..#...#..#...###..#..#.##..#..#.######.###...###..####.##.##.####..##.#.##..##..##...####..#..#.#...#.##.#.#.....#....####...#####.##..##..#.....#...##.##....##.##.##...######..##....#...####..##.#.#####.....##.####..#.#....##..##..###.##.##.#.#...##....#..#....##..#.######...#.###.#.#...#..####.#..#.###...#.#....#.....#.#..###.#...#.#......#.#..###..#...#####..#......#.###.#.####..#.##..##.#.#..#..##.#...###.##.#..##.##....#....###.#####..#.###.###..##.....#.#####.##.....##..###.##....#..###...##..##..##.#.#.###....##.....####.####.#..####......###..#.....####...##.##.##..#.##..##.#...##.#.#..##.#.....########.##.#.####..##.##...##.#.#.....##.#.###.#.#.###.##..#.#.#..#.#....#.###.##.#.#.#######.####....##.######..#.##.....#..#..#......#...#...###.#.###..#.#.###.###...###.#...##....#..##......####.#####.#....###.#.#.#.###....#.####.#.##.##..##...#.#..###.#...#####...###.#..#....#.##.##..##.####..#..##....##.#.#.#..#.###.##.##..##.####.#..#.##.##......#..#.###.##...###....###.#.....#......#.......#.#.#######...#.####..###.#..######.########...#.#....##.##.#......#..#..###..##...#.#.####.##.......#..#.###.....####.###...#.#...#..#.######..#...##.#.###.###...#...#.######..#..##.#...##..###.##.#.####...##...##...###.#######.###...#.##..#.##.....#.##.##.##..##....#.#####.#.##.##.#.###.##.#.#..######.####....#.....#.########.###.#.###...###.##...#.#.#####.#..#......###.######..#..####.##.##.#.#....#....#####..##.##..##.....####.#..#.#.#.#######.#..##....#..#.#..########.#....#.####..#.####...#.##.##..#..#.#........##.#..###..###..###..#.###.....###.#.#.#.#..##..#....##..#..###....##...##...##..#....##..##..#..#....###.........#...#.#..........#....#.####..#..####.####..####.....#..##.....##..##.#.##.##.#.#.....##.....#.#..#...#.......##.#....####.#.#.#...#####.#.##....#..#.....#.#.#...#.#...
##....#......#.##....#..#..#.#####..#...#....####.....####..##.##.#.#.##..#.#.##.#.#..#.#..#...#.#.#.##...#..#..#..##.#.###..##.#.#.#.....#.##..###.##.#.#.####..#.#...#..##....###..##.......#..#..##.##.####....#.##.#.#..#.###...#.......#.##..#..#####..#.#####..#..###...#....##....##..#....#.####.##.......##.#..#...###.#.####.##..#.#....##.###.##..##.####.#..#.#####..#...#......##.###.#.#..#.##......##.##.###.##..#.##.#.#.#..##..###.##..####.###.#..#.##.##########...#####..####.#..##..###.#.###..#.####.#..#.#...#.#.###...#..##.#.#.#.###.####.###.####.##..##...#..##.#.######..########.#.....#.###..#.#...#.##.......#.##..#.#..#.....#...###.###.###....##..#.####.....##..#..##.###.##.....#.#.#.#.#.#######..#####..##.....##.###.#..#.###..####...#.#.#.##..###....##.##..####.#.......####......##..#.###.#..#.######.#.#....#..#.#.....##...##.#.#.#.#..##....#.#.#...#......#.####.#..##.....#.#.....#.###.#.##.#..#..######...#..##.#..###.....#.#..#.#.#######.....####...##........#...##..#.##.#.#....#..##..#.#.##......##.##..#.##.######..##.#....##.##.##.#..#.#......#..#.#####..#..###.##...#...#..##....##......#.###..#.##..#.#.##....#...####.##.##.#.##.#.####.#..#........##.#..###..##..#.###.#....#........###.#..###....#....#..#...###.#...#...##.##.....##..#..###..#.#...##..#####.#..##.##.#.###.#..###..#....#####.##.##.###..#...###.###....####.###.###.##..###..##..#..##..##.#.##.#.####.##...####..#..#.###.###..#.##.###...###.##.#########.##.#......##.....#..##.#.#.##...#..#...######.####...#..##...###.#.###.#.#.....#.......####.#...#.##..#####.##.#.#..#.#..###...#.######.###.###..##.###.##...#.#####.###.###..#.#.####..###....#......#...####....###....#.##.#.##.#...######.#.#..#...#.#####.####.#.....###.##.##....##.#..##...#.#.#..###..##..##....###.#####.#.#.#####.#.#..#...#####.##....#..#.###.####.##.##.#....##.#..####.#####...##......##.##.##..##..##..........#..##.###.##.##.###.####.##..##.......#...#...##...####.#.#.#.##.#.####.#.....#.##.##....###.#.##..#......#.##.......#.##.