############### ###             ########                                       
#<.#%.+.....♣♣♣♣♣.###############..#.[.########################################
#<.#%.#......♣♣♣♣.#___#__)#__#.####∩.#..+.#...##....+....)|##......%)))%+.≈≈≈≈#
##+####.....♣♣♣♣..#)..#...#[_#.........##.#...##≈≈≈≈##..##[##.....()%)..#≈≈≈≈≈#
#.....#....≈.♣♣♣♣.###+#+###+##..........#.#...≈≈≈........#|##).....%%)).#.§§≈≈#
#.....#...≈≈....♣.#..........#........###.#...##≈≈≈≈##..##.##[().....)..#§§§§.#
#.....#..≈≈≈≈.♣♣..+.⌠........#...#####..#.+...##....+.....)##.......%)..#§§§§§#
#####+#..≈≈≈≈≈≈♣..#...######+#.###   ########################.?....b)...#§§§§§#
#.....#.≈≈≈≈≈≈....#.⌠.#}.#...#'###########################  #[).........#§§§§§#
#.....#.≈≈≈≈≈.....#...#_.#...#..≈≈≈'.#.'...'.#.#.#.+%%%≈≈#  #.=.b.......#§§§§§#
#....[#.≈≈≈.......#+###_.#...#.#§≈§#§#.#...##.#.#.##%%%≈≈####################'#
#+#####...........#..%#_.#...+.#§§§#.#.#...#.#.#.#.#.%%%≈≈≈##.......+.........#
#................)#___#..+...#.#§§§#...#(..##.#.#.##%%%≈≈≈%##.#######.%%.%%...#
############################################.#.#.#.#.%.%%%.##.......#....%.§§§#
 #[..+≈≈≈.≈≈≈≈.♣♣.....♣♣♣♣≈≈≈........≈≈≈...##.#.#.##%%%%%%%########.#...%§§§§§#
 #...#≈≈≈§§≈≈≈≈♣♣.≈≈≈≈'♣♣'♣≈≈≈≈≈≈≈≈≈≈≈≈♣♣P.'.#.#.#.#%%%%%%%##.......#.....§.§§#
 #..P#≈≈≈§§§§≈≈.'.....#.≈♣♣♣♣♣♣♣♣♣♣♣♣♣♣♣♣PP##.#.#.###############+#############
 #...#≈≈≈§§§§≈≈♣♣♣♣♣♣♣#..♣♣♣♣♣♣♣♣♣♣♣♣♣♣♣♣♣♣##'###############.#.#...#.§§§=§.≈(#
 #..[#≈[.§§§§≈.♣♣♣♣♣♣♣###'♣♣♣♣♣♣♣♣♣♣♣♣♣♣♣♣♣#...'.≈≈§≈##≈!≈≈≈##.#.#.##≈§§≈§§≈≈≈#
 ###+####'#######♣♣♣♣♣♣♣♣.##..##≈≈≈≈≈≈..#[(....#.≈§§§#=:≈#§≈#.#.#.#.#§§§§§§§..#
 #...............♣♣♣♣♣...##.##.#≈≈≈≈≈...#[(#...#.#EEE##≈##≈≈##.....##§§§§§§§..#
 ##+#############+♣♣♣♣♣.##.##.##'≈≈≈≈≈####+#####.#.≈§§###≈≈§#[#.#...+§§§§§§§..#
 #...#≈...........♣♣♣♣♣..#.##...#≈≈....§§§.#)....###≈§§≈≈§§§################+##
 #...+≈≈...######.#♣♣♣♣♣.##.##..#≈..+#######.....#.#.§&≈≈§§§#...#[..#(.#......#
 #...#≈≈≈.........PP♣♣♣♣.##.#####...#......#.&...#+###§§§≈§≈#...#...#..#......#
 #...#≈≈≈≈P...P....P♣♣♣.....##......#♣♣♣._[#.....#§§.#.≈≈≈§≈##+###+##..#......#
 #+#############+#############'#############'#####§§.###≈§###.......'..#......#
##..######     #.............#...........###.....+...+§#.##.#.#####.####......#
#....#...###   #.............#............##.#############..'.#   +.#..'......#
#..........##  #.....######..###########..##.#)..........'..#######.'..#......#
#...........## #.....#....#..##...........##.#P......########.....#.####......#
##....###....# #.....#....#..#...........###.#.....###!∩⌠⌠∩.#..#..#.#..#......#
 #...##)##...# #.....#.P..#..#..########## #.#...###.#.∩⌠⌠∩.#.#.#.#.+..#......#
 ##..#...#..## #.....#...##..#...........###&#.###...#.∩∩∩∩.#.....#.#..#......#
 #...##.##...# #......####...##...........##.#'#.....#.∩∩∩∩.#.....#.#..#.....^#
 #....#.#....# #........≈....###########..##.#.......#......#.#.#.+.#..#....^.#
 ##.........## #...≈.........##!..........##.#.......###++###..#..#.#).#...^..#
  ##.......##  #...≈.≈.§.....#∩..........###......&..#§⌠..⌠.#)....###########'#
   ###...###   #...≈.≈.§..≈..#∩.####################.#......#################.#
     #####     #.....P§§≈.≈..#∩...........##.#.#.#.#........#.#)#.#)#.#%#.#.#.#
               #.......§∩∩∩..##...........##................#+#+#+#+#+#+#+#+#'#
               #............=###############....&...........#..^.^^.^....(^..^#
 #############################################'##############.^........^)..^..#
 #.+..#..^^.^.##≈.)..[).[)}.##(≈....≈(#..[###...##|#≈≈≈§≈≈###'#+#+#+#+#+#+#+#+#
 #.#..+.^####+##≈≈......######≈......≈#...##.....##+#.≈≈.≈#.#(#?#.#(#)#.#.#.#[#
 #^####.^#....##§§≈§.§..≈≈≈≈##....§§..#+###&......###....≈#.#'#################
 #.#.[##+#..^.##§§§§≈§§§§≈≈§##§.§.§§§§'...'.......+.......§.#..#......).)..)..#
 #.#..#.^#...[##§§§§§§§§§§≈.##§..§§§§§#'###.......#####..§#.#^(#.^)(.)(....^..#
 #.+..#..#.[}.##§§§§§§§§§§§.##§§§§§§§≈#≈≈≈##.....##^(.##.≈#[#^.#).##########..#
 ######''#######§§§§§§§§§§§§##§≈§§§§§§#+#+###...###^#..##+###^.#..#........#..#
 ##.#.#..#.#.###§§§§§§.§§§§.#####''####.#.# ##'####.##.##...#..#..#........#..#
 #.^..^.......##§§.§§§.§§§.§##.%+§....#+#####.≈≈≈+#^##.####.#..#..#.|......#..#
#######+#############+###############.#.%'§∩#§§≈.#^^##......#..#..#........#..#
#.§..§..§.....&..§...........#§§.# ##.####∩∩#§≈≈.#######+####..#..#+########..#
#..§.§..........§.....§.....§#...###...###..#§.≈.#..+≈⌠...≈)#..#.^#|.^).......#
#...§...§...§...§§...........'...'.&.§...§..'§.≈§+..#≈≈.≈.≈.#.^'.^#...........#
#...§......................§.#..§###§..###.§#§§≈.#..#.≈.≈.≈.###################
#......§.§..........§....§§.§#...# ##.##∩#.§#(§§.#..#...≈...###############    
########§#############+##############§#..#.§####+#######+####.'.^..#..+.§§#    
 #§§§#..§§#     ###≈≈≈≈≈≈≈≈≈##[.....#'#+##..#.#.#.#.#.#.#.#.#.#...^#.##§..#    
 #.§.§§§§§+     #)#≈###≈≈#+###......#.'..'..+#.#.#.#.#.#.#.##.#.^..#.%#≈§≈#    
 #§.§#§§§§     ##+#≈#.+≈≈#.# #......#.####§.#.#%#.#%#.#.#.#.#.###'###.#≈§§#    
 ##'#####      #≈≈≈≈###≈≈#####......'.#.#####################.#)...#..#§§§#    
  #.§M§        #≈≈≈≈≈≈≈≈≈≈≈≈##......###.#§§§....#[...'^..^#.'.#....#.##.)[#    
  #+###        #≈≈≈≈###≈≈≈≈≈##.###..#...#.§.§...#....#....#.###....#..#####    
               ####≈+.#≈≈#####.#^#..'...+§§§(...'....#..^.#.#.'....##.#        
                #.+≈###≈≈+)# #.###..#...#§......#....#^...#.#.######..#        
                ###≈≈≈≈≈≈### #......###+#......)#....#..^.#.#......+.##        
                  ########   ########%..#########....#.^..'.##########         
                                    #####       #############