#################################################################
#....#...............#.........#...........#.........#.....#....#
#....#...............'.........#...........#.........'.....#....#
###'##...............#.........#........####..#####'##.....#....#
#....#..#'##......####.........#...........#..#...#..#.....#....#
#....#..#..#......#..#.........#..####...)†...#...#..####..#....#
#....#..#..#......#..#.........#.....#..#.....'...#.....#..##'###
#....#..#..#..#...#..#.........#.....#..#..#..########..#..#....#
###'##..#..#..#......#.........#.....#..#..#..#      #..#..#....#
#..........#..#...####.........#.....#..####..#      #..#..#....#
#..........########..#.........#..####.....#..# ##   #..#..##'###
#....#'##'##......#..#.........'..#..#.....####..#   #..#.......#
#.......#.........#..'.........#....P.P..'##..#..#   #..#.......#
#.).....#..####†..#..#.........#......P....#..'..#   ####.......#
###'##..#..#......####.............(P.....P...########.....######
#....#..#'##......#.........P.....PP...P.P..P...................#
#..........####...#..............P...P....P...P......#..####....#
#..÷..........#...#.........P..P.....(...P.P.....##..#..#.......#
#.............#####..#.......P........P...P.P.....#..'..#..######
#....#..#÷.####......#..........P().P>......oo....'..####..'....#
#......)#÷.#..#......#.....P.P.P.....P.....PP.....#..#..#'##....#
###'##.[+÷.'..o......#####'...P.P......(..P.PoP...#..#.....#....#
#....####).########..#.............P.......P......#..#..........#
#.......#..#..#...#..#..........P.P..P...P....#...#..#..####....#
#.......#..#..#...'..#.......P.P......P.....P.##'##..#..#..#....#
#....#'##..#'######..#..#...#...P...P...P.....#...#.....#..##'###
#....#.....#..#......'..#...#..............#..'...'.....'..#....#
#....#.....#..'...#..#..#...#..#....P.P...)#..########..#..#....#
#....#..#..#'##...#..#..#...#..#...........#..#      #..#..######
#....#..#.....#...#..#..#...#..#........#..####      #..#..#....#
#.......#.....'...#..########..#........#....>#      ####..'....#
#....#..#..#..#...#..#     ....##'#######.....#      #..#..#....#
######.....#..#####...  #.........  #...#..####      +..####....#
#....#..####......#...  #.........   ...#..#         #..........#
#....#..#.........#..#.. .... ....   ...#..'         #.....#....#
#....#..'.....##'#####.####.####.#####'##..#         #..####....#
###'#####.....#...#....##.....##........#..#         #..........#
#.......####..#...# ...#.......#.<......#            +..........#
#.......#  #'######..#.#.......#.#####'##         ####..####....#
#.......#  #..#...#........_............#     ##+##.....#..#....#
#.......#  #..'...'..#.#.......#........#     #.........#..#....#
#....#..## ####.).####.#.......#....#####     #.........'..#....#
#....#...#    #......).##.....##........#     #.........#..#....#
#....#...+    #.(......####.####........#     ....#..#..####....#
#....#...#    #......#..................#     ... #..#..#.......#
#....#..##    #####..#..#......#........#     ....#..#..'.......#
######..#      #.....'..#...#'##........#     #...####+#####....#
#......>#      #.....####...#...........#     #...#........#....#
#....####      #.....#..#####...........#     #...#........'....#
###'##..#      #+##'##..# . ####........#     #...#........######
#.......#         #..#..#..    #........#     #...#........#     
#.......+         #........    #........#     #...#..#'##'##     
###'#########     #.....#####  #........#     #...#'##..#.†#     
#...........+     +..#+##...####........#     #......#..#..#     
#...........#######.........#..#........#  #  #......#..####     
#...........#...............'..'........#...  #...<..#..#        
#...........'...............#..#........'...  #......#..+        
#...........#...............#..#........#...  #......#..#        
############################################  ###########