###################################################################
#.............#....#....#...........#.......#...#...#....#....#...#
#.............#....#....#...........#.......#.>.#...#....#....#...#
#.............#....#....#......)....#.......#...#...#<...#....#...#
#......>......#....'....#...........#.......#...'...#....#....'...#
#.............#....#....#.....)))...#.......#...#...#....#....#...#
#.............#....#....#.......<...#.......#...#...#....#....#...#
######....#####....#########'#####'######...#...#####....##...#####
#....................#...#......#.).#...#...#..........(..........#
#.............<......'...#......#...#...'...#.....................#
#....................#...#......#...#...#...#.....................#
########...######...#############...#...#...#...###########.......#
#......#...#....#........#..........#...#...#.............#.......#
#......'...'....#........#..........#...#...#.............#.......#
#......#...#....#........#..........#...#...#.............#.......#
#############'######.....#..(#########'################'######'####
#..................)..............................................#
#.................).(...........................................>.#
#.................))..............................................#
#............................∩....................................#
#.................................................................#
#######...######################################....#...###########
#.....#............#..........#........#...#........#...#.........#
#.....'............#..........#........'...#........#...#.........#
#.....#............#..........#........#...#........#...#.........#
########################...########...##...#######'######.........#
*,,,,,,*,,,,*,,,,∩,#...#...#.(........#......#..........[.......(.#
*,,,,,,+,,,,+,,,,,,#...#...#..........#......#....................#
*,,,,,,*,,,,*,,,,,,#...#...#..........#......#....................#
*,,,,,,*,,,,#########'##...#..........#......#....................#
*,,,,,,######......#...#...#....#.....###################.........#
*,,,,,,#...........#...#........#...).#.....#....[......#.........#
*,,,,,,+.....J.....#...#........#.....'.....#...........'.........#
*,,,,,,#.....JJ....#...#........#.....#.....#...........#.........#
***+**,###..###...##...#.#.######...#####...######...#..######'####
*,,,,*,.....,,#...#......#.....#....#............#...#.....#......#
*,,,,#......,,#...#......#.....'....'..........[.#...#.....#......#
*,,,,#......,,#..[#......#.....#....#............#...#.....#......#
*****#...#######'#########..(###....#####...#...##..###############
*,,,,+...#...............#...#......#.......#...#.............#...#
*,,,,#..,#...............#...#......#.......#...#.............#...#
*,,,,#####...............#...#......#.......#...#.............#...#
*,,,,#...##########'##############..##..#######.#'########....##'##
*,,,,#...#..........#............#...#...#........#......#..>.....#
*,,,,#...(.(((()....#............#...#...#........#......#........#
*,,,,#...#..........#............#...#...#........#......#........#
*######'#############...#####...##...##################..###'######
#....<.......#......#.....#...............#.......................#
#............#......#.....#...............#.......................#
#............#......#.....#...............#.......................#
###+##.......###'########.#######'##..###########....##############
*,,,,#.......#..............#......#....#............#.....#......#
*,,,,#.......'..............#......+....+............'.....'......#
*,,,,#.......#..............#......#....#............#.....#......#
*****##############################################################