########****###*##################************************************
#......#....#..*#................#*,,*,,,*,,*,,,,*,,,*,,*,,,,*,,,*,,,*
#......#....#.#*##..............##**,*,,,*,,*,,,,*,,,*,,*,,,,*,,,*,,,*
#....).#....#.####.##'###.......##**,*,,,*,,*,,,,*,,,**+*,,,,*,,,*,,,*
#####'##....#..##..#....######...#*,,+,,,*+**,,,,*,,,+,,*,,,,*,,,*,,,*
#...#..#....#).##..#.)..#....#...#*,,*****,,*,,,,*****,,*,,,,**+**,,,*
#...#..##'###.####.######∩...#..##**,,,,,,,,*,,,,*,,,,,,+,,,,*,,,*+***
#...#.........####.#.)).#....#..##**,,,,,,,,**+***,,,,,,******,,,,,,,*
#.).#..........##..#.))∩#....#...#*,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,*
#...#..........##..#.).)###'##...#*,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,*
###'#.........####.###'##.......##**,,88,,88,,88,,88,,88,,88,,88,,88,*
#............).##................#*,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,*
#######........)'....≈≈≈≈≈≈≈≈....++,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,*
*,....#........''....≈≈≈≈)≈≈≈....++,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,*
*,....'........##................#*,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,*
*,....#...########.##+###....[..##**,,88,,88,,88,,88,,88,,88,,88,,88,*
*,....#...#....#*,.#,,,,#....%...#*,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,*
*,....#...#....#*,,#,,,,#.####...#*,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,*
#######...'....#**,*,,,,#.#,,#..##**,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,*
#...#.....#....#**,*,,,,#.#,,#..##**,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,*
#...#.....#....#*,,**####[+,,#...#*,,,,,,,,,,,,********,,,,,,,,,*+****
#...'.....######*,,,,.....#,,#...#*,,,,*******,*,,,,,,*,,,,,*****,,,,*
#...#..........#**,,,.....#,,#..##**,,,*,,,,,*,+,,,,,,****,,*,,,*,,,,*
######'##..#####**,,*#'##.#,,#..##***+**,,,,,+,*,,,,,,*,,+,,*,,,*,,,,*
#.......#..#...#*,,,*..,#.####...#*,,,,*,,,,,*,*,,,,,,*,,*,,+,,,*,,,,*
#..))...#..'...#*,,,*,,,#........#*,,,,*,,,,,*,*,,,,,,*,,*,,*,,,*,,,,*
#..)....#..#...#**,,*,,,#..####x##****************************+*******
#.......#..#####*,,,**###.)#..#.##*,,,*,,,,,**,,,,*,*,,,,,*,*,,*,,,*,*
#########...#..#*,,,,......'..#..#*,,,*,,,,,**,,,,+,*,,,,,*,*,,*,,,*,*
#..).#......#..#*,,,,.....)#..#..#*,,,*,,,,,**,,,,*,*,,,,,*,+,,*,,,*,*
#...))......'..#**,,,#####%####.##**+**,,,,,*******,*,,,,,*,****,,,*,*
######..zz..#..#**,,,#...'......##**,,*,,,,,*,,,,,,,*,,,,,*,,,,**+**,*
#........#######*,,,,#...##'##...#*,,,**+****,,,,,,,***+***,,,,,,,,,,*
#..≈≈≈..)#.....#*,,,,#...#...#...#*,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,*
#.≈≈≈≈≈..#.....#**,,,#...#...#..##**,,,,,,,,,,**+**,,,,,,,,,,,,,,,,,,*
#.≈≈≈≈≈..#)....#**,,,#####...#..##**,,,,,,,,,,*,,,*,,,,,,,,,,,,,**+***
#.≈≈≈≈≈.))))...#*,,,,,,,,#...#...#*,,,,,,**+***,,,******,**+***,*,,,,*
#..≈≈≈..)#))...#*,,,,,,,,#...#...#*,,,,,,*,,,,*,,,**,,,*,*,,,,*,*,,,,*
#........#..)..#**,,,,,,,#####..##**,,,,,*,,,,*,,,**,,,*,*,,,,*,*,,,,*
#####C...#######**,,****,,......##**,,,,,*,,,,*,,,**,,,+,*,,,,*,*,,,,*
#2z.#..........#*,,,*,,*,,#####..#*,,,,,,*,,,,*,,,**,,,*,*,,,,*,*,,,,*
#.zZ)).........#*,,,*,,*,,*,,,#..#*,,,,,,*****************************
#..z#..)......##**,,*,,',,*,,,#)##**,,,,,,,,,*,,,,,,,,,,,,,,,,,,,,,,,*
########......##**,,*,,*,,',,,#.##**,,,,,,*+**,,,,,,,,,,,,,,,,,,,,,,,*
#......#.......#*,,******,*,,,#..#*,,,,,,,*,,*,,,,,,,,,,,,,,,,,,,,,,,*
#......#.......#*,,*,,,,*,#####..#*,,,,,,,*,,*,,,,,,,,,,,,,,,,,,,,,,,*
#......#......##**,*,,,,*,......##**,,,,******,,,,,,**************,,,*
#......'...#####**,****'*,......##**,,,,*,,,,*,,,,,,*,,,,,,,,,,,,*,,,*
#......#...#...#*,,,,,,,,,.......#*,,,,,*,,,,*,,,,,,*,,,,,,,,,,,,*,,,*
########...'...#*,,,,,#######.)..#*,,,,,+,,,,*,,*****,,*********+***,*
#...'......#...#**,,,,#.....#...##**,,,,*,,,,*,,',*,,,,*,,,,,,,,,,,*,*
#...#......#####**,,,,#.....'...##**,,,,*,,,,*,,',*,,,,*,,,,,,,,,,,*,*
#...#..........##.....#.....#....#*,,,,,*,,,,*,,*,,,,***,,*******,,*,*
#####..........##.....#.....#....#*,,,,,******,,*,,,,*,,,,*,,,,,*,,*,*
 #....#..#....##*#....#########.##**,,,,,,,,,*,,*,,,,*,,,,*,,,,,*,,*,*
##............####.......#....#.##**,,,,,,,,,*,,*,,,,*,,,,+,,,,,*,,*,*
#...###''###...##......†.'....#..#*,,,,,,*****,,*,,,,*,,,,*,,,,,*,,*,*
#...#......#...##........#....#..#*,,,,,,*,,,*,,*,,,,*,,,,*,,,,,*,,*,*
##..#......#..####.......######.##**,,,,,+,,,*,,*,,,,***,,*******,,*,*
##..#......#..####.##)##........##**,,,,,*,,,*,,',*,,,,*,,,,,,,,,,,*,*
#...#......#...##..#[[[#.........#*,,,,,,*,,,*,,',*,,,,*,,,,,,,,,,,*,*
#...###..###...##..#...#.##'##...#*,,,,,,*****,,*****,,*********+***,*
##..#..).[.#..####.#∩..#.#...#..##**,,,,,,,,,*,,,,,,*,,,,,,,,,,,,*,,,*
##..#}.[=))#..####.#####.#...#..##**,,,**'****,,,,,,*,,,,,,,,,,,,*,,,*
#...#[..[=)#...##........#...#...#*,,,,*,,,,,*,,,,,,**************,,,*
#...#=../!(#...##........#####...#*,,,,*,,,,,*,,,,,,,,,,,,,,,,,,,,,,,*
##..########..####..............##**,,,*,,,,,',,,,,,,,,,,,,,,,,,,,,,,*
##............##*#..............##**,,,*,,,,,*,,,,,,,,,,,,,,,,,,,,,,,*
#..............##................#*,,,,*,,,,,*,,,,,,,,,,,,,,,,,,,,,,,*
##################################************************************