##################################************************************
#..............##................#*,,,,*,,,,,*,,,,,,,,,,,,,,,,,,,,,,,*
##............####..............##**,,,*,,,,,*,,,,,,,,,,,,,,,,,,,,,,,*
##..########..####..............##**,,,*,,,,,*,,,,,,,,,,,,,,,,,,,,,,,*
#...#.})..)#...##........#####...#*,,,,*,,,,,*,,,,,,,,,,,,,,,,,,,,,,,*
#...#)[.}:)#...##........#...#...#*,,,,*,,,,,*,,,,,,**************,,,*
##..#..}}.}#..####.#####.#...#..##**,,,**+****,,,,,,*,,,,,,,,,,,,*,,,*
##..#(.....#..####.#...#.#...#..##**,,,,,,,,,*,,,,,,*,,,,,,,,,,,,*,,,*
#...###..###...##..#...#.##'##...#*,,,,,,*****,,*****,,*********+***,*
#...#......#...##..#...#.........#*,,,,,,*,,,*,,+,*,,,,*,,,,,,,,,,,*,*
##..#......#..####.##'##........##**,,,,,*,,,*,,+,*,,,,*,,,,,,,,,,,*,*
##..#......#..####)......######.##**,,,,,+,,,*,,*,,,,***,,*******,,*,*
#...#......#...##........#,,,,#..#*,,,,,,*,,,*,,*,,,,*,,,,*,,,,,*,,*,*
#...###''###...##........+,,,,#..#*,,,,,,*****,,*,,,,*,,,,*,,,,,*,,*,*
##............####.......#,,,,#.##**,,,,,,,,,*,,*,,,,*,,,,+,,,,,*,,*,*
 #....#..#....####....#########.##**,,,,,,,,,*,,*,,,,*,,,,*,,,,,*,,*,*
#####..........##.....#.....#....#*,,,,,******,,*,,,,*,,,,*,,,,,*,,*,*
#...#..........##.....#.....#....#*,,,,,*,,,,*,,*,,,,***,,*******,,*,*
#...#......#######....#.....'...##**,,,,*,,,,*,,+,*,,,,*,,,,,,,,,,,*,*
#...'......#...###....#.....#...##**,,,,*,,,,*,,+,*,,,,*,,,,,,,,,,,*,*
########...'...##.....#######....#*,,,,,+,,,,*,,*****,,*********+***,*
#......#...#...##................#*,,,,,*,,,,*,,,,,,*,,,,,,,,,,,,*,,,*
#......'...#######.####'#.......##**,,,,*,,,,*,,,,,,*,,,,,,,,,,,,*,,,*
#......#......####.#....#.......##**,,,,******,,,,,,**************,,,*
#......#.......##..#....#.#####..#*,,,,,,,*,,*,,,,,,,,,,,,,,,,,,,,,,,*
#......#.......##..######.#...#..#*,,,,,,,*,,*,,,,,,,,,,,,,,,,,,,,,,,*
########......####..#).#..'...#.##**,,,,,,*+**,,,,,,,,,,,,,,,,,,,,,,,*
#...#.........####..#..'..#...#.##**,,,,,,,,,*,,,,,,,,,,,,,,,,,,,,,,,*
#...'..........##...#..#..#...#..#*,,,,,,*******************+*********
#...#..........##...#∩.#..#####..#*,,,,,,*,,,,*,,,**,,,*,*,,,,*,*,,,,*
#####....#########..####[.......##**,,,,,*,,,,*,,,**,,,+,*,,,,*,*,,,,*
#........#.....###.....).#####..##**,,,,,*,,,,*,,,**,,,*,*,,,,*,*,,,,*
#..≈≈≈...#.....##........#...#...#*,,,,,,*,,,,*,,,**,,,*,*,,,,*,*,,,,*
#.≈≈≈≈≈..'.....##........#...#...#*,,,,,,**+***,,,******,**+***,*,,,,*
#.≈≈≈≈≈..#.....###...#####...#..##**,,,,,,,,,,*,,,*,,,,,,,,,,,,,**+***
#.≈≈≈≈≈..#.....###...#..†#...#..##**,,,,,,,,,,**+**,,,,,,,,,,,,,,,,,,*
#..≈≈≈...#.....##....#†∩.#...#...#*,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,*
#........########....#..)##'##...#*,,,**+****,,,,,,,***+***,,,,,,,,,,*
######......#..###...#...'......##**,,*,,,,,*,,,,,,,*,,,,,*,,,,**+**,*
#.)).'......'..###...#####.####.##**+**,,,,,*******,*,,,,,*,****,,,*,*
#..))#....))#..##..........#..#..#*,,,*,,,,,**,,,,*,*,,,,,*,+,,*,,,*,*
#########)).#..##.........['..#..#*,,,*,,,,,**,,,,+,*,,,,,*,*,,*,,,*,*
#.......#.)######...#####..#..#.##*,,,*,,,,,**,,,,*,*,,,,,*,*,,*,,,*,*
#.......#..#.).###..#...#..####.##**+*********************************
#.......#[))...##...#...#........#*,,,,*,,,,,*,*,,,,,,*,,*,,*,,,*,,,,*
#.......#..#...##...#...#.####...#*,,,,*,,,,,*,*,,,,,,*,,*,,+,,,*,,,,*
######'##..#######..##'##.#..#..##***+**,,,,,+,*,,,,,,*,,+,,*,,,*,,,,*
#...#..........###........#..#..##**,,,*,,,,,*,+,,,,,,****,,*,,,*,,,,*
#...'.....#######.Z.......#..#...#*,...####***,*,,,,,,*,,,,,*****,,,,*
#...#.....#....##.)######.'..#...#*,.......,,,,********,,,,,,,,,*+****
#...#.....#....###.#....#.#..#..##**.......,,,,,,,,,,,,,,,,,,,,,,,,,,*
#######...'....###)#....#.#..#..##*#........,,,,,,,,,,,,,,,,,,,,,,,,,*
#.....#...#....##.C#....#.####...#*..........,,,,,,,,,,,,,,,,,,,,,,,,*
#.....#...#....##..#....#........#*...........,,,,,,,,,,,,,,,,,,,,,,,*
#.....#...########.##)###.......####..88..88..88,,88,,88,,88,,88,,88,*
#.....'........##....).Z..)..†...##...........,,,,,,,,,,,,,,,,,,,,,,,*
#.....#...)....)'..))≈≈)≈≈)≈≈....''...........,,,,,,,,,,,,,,,,,,,,,,,*
#######........''....≈[)≈≈≈≈≈†...''...........,,,,,,,,,,,,,,,,,,,,,,,*
#..............##................##...........,,,,,,,,,,,,,,,,,,,,,,,*
###'#.........####.###'##.......####..88..88..88,,88,,88,,88,,88,,88,*
#...#..........##..#....###'##...##...........,,,,,,,,,,,,,,,,,,,,,,,*
#...#........).##..#....#....#...##...........,,,,,,,,,,,,,,,,,,,,,,,*
#...#......)..####.#....#....#..####........##+***,,,,,,******,,,,,,,*
#...#..##'###)####.######∩...#..##*#........#,,,,*,,,,,,+,,,,*,,,*+***
#...#..#.).)#..##..#....#....#...#*..#####..#,,,,*****,,*,,,,**+**,,,*
#####'##..).#..##..#..[.######...##..',,,*'##,,,,*,,,+,,*,,,,*,,,*,,,*
#......#....#.####.##'###.......####.#,,,*,.*,,,,*,,,**+*,,,,*,,,*,,,*
#......#....#.####..............#**#.#,,,*,,#,,,,*,,,*,,*,,,,*,,,*,,,*
#......#....#..##................#*..#,,,*,,*,,,,*,,,*,,*,,,,*,,,*,,,*
##################################************************************