###################           #####                                            
#<.#%.+.....♣♣♣♣♣.#############..)#############################################
#<.#%.#....♣.♣♣♣♣.#___#__%#__#...###....+.#...##....+....[[##).....[....+.≈≈≈≈#
##+####......♣♣♣..#)..#...#[_#.........##.#...##≈≈≈≈##..##[##.......[[..#≈≈≈≈≈#
#.....#....≈.♣♣♣..###+#+###+##..........#.#...≈≈≈........#.##|.)........#.≈≈≈≈#
#.....#...≈≈♣♣♣♣..#..........#.........##.#...##≈≈≈≈##..##)##..|........#.≈≈≈.#
#.....#..≈≈≈≈♣♣♣♣.+.⌠........#.∩##..#####.+...##....+....)[##..[b.b.....#≈≈≈≈≈#
#####+#..≈≈≈≈≈§♣§.#...######+#.###.##*,*#####################..:........#.≈...#
#.....#.≈≈≈≈≈≈§§§.#.⌠.#..#...#+###########################**#)..).......#.....#
#.....#.≈≈≈≈≈.§§§.#...#_.#...#..§≈§+.#.+...+.#.#.#.+%%%≈≈#,*#|........([#.....#
#....[#.≈≈≈.......#+###_.#...#.#§§§#.#.#...##.#.#.##%%%≈≈####################'#
#+#####...........#..[#_.#...+.#§§§#.#.#...#.#.#.#.#%%%%≈≈≈##.......+.§..§§§..#
#.................#___#..+...#.#§[§#...#(..##.#.#.##%%%≈≈≈≈##.#######..§§§§§§.#
############################################.#.#.#.#.%%%%.%##.......#.§§.§§§..#
 #...+≈≈≈§≈§≈≈≈♣♣[....♣♣♣♣≈≈≈........≈≈≈...##.#.#.##.%%%%.%########.#§§§§§....#
 #...#≈≈§§.§≈≈≈♣♣.≈≈≈≈+♣♣'♣≈≈≈≈≈≈≈≈≈≈≈≈♣♣P.'.#.#.#.#.%..%%%##.......#§§§§§.§.[#
 #.P.#≈≈§≈§§≈≈≈≈+.....#.≈♣♣♣♣♣♣♣♣♣♣♣♣♣♣♣♣PP##.#.#.###########+#################
 #...#≈≈§≈.§§≈≈♣♣♣♣♣♣♣#..♣♣♣♣♣♣♣♣♣♣♣♣♣♣♣♣♣♣##'###############...#.#.#.[)}§)§≈(#
 #..)#[.≈≈≈≈≈≈≈♣♣♣♣♣♣♣###+♣♣♣♣♣♣♣♣♣♣♣♣♣♣♣♣♣#...'.≈§≈§##)!≈§≈##.#.#..#≈≈≈≈§≈≈§≈#
 ###+####+#######♣♣♣♣♣♣♣♣.##..##[≈≈≈≈≈..#%)#...#.§≈≈≈#≈:≈#≈§#.#.#.#.#§§§§§§§..#
 #...............♣♣♣♣♣...##.##.#≈≈≈≈≈...#).....#.#≈≈§##≈##§§##.#.#..#§§§§§§...#
 ##+#############+♣♣♣♣♣.##.##.##+≈≈≈≈≈####+#####.#.≈§§###≈§≈#.....#.+§§§§§§§..#
 *,..#§§..........♣♣♣♣♣..#.##...#≈≈...§§§§§#)....###≈§≈≈≈≈≈§################+##
 *,..+§≈...#######.♣♣♣♣♣.##.##[.#≈..'#######.....#.#.§≈≈§§≈≈#...#...#..#......#
 *,J.#§≈≈..........P♣♣♣♣.##.#####...#......#....P#+###≈≈≈≈§§#...#...#..#......#
 *,J.#≈≈≈≈...PP....P♣♣♣.....##......#♣♣♣%_(#....P#...#.§§≈≈§##+###+##..#......#
 *+#############+#############+#############'#####.§.###≈§###.......+..#......#
 **,*****      #≈≈≈≈≈≈≈≈≈≈≈≈##.♣♣♣*********#.....+..§+§#.##.#.#####.####......#
  **,*,,,***   #≈≈≈≈≈≈≈≈≈≈≈≈##♣.♣♣♣*** ****#.#############..'.#)..+.#[.'......#
  **,, ,,,,**  #≈≈≈..≈≈≈≈≈..##♣.♣♣♣######**#.#%..........'..#######.'..#......#
 **,,,,,,,,,** #≈≈....≈≈≈...##♣♣.♣♣#....#**#.#P......########.....#.####......#
 * ,,,***,,,,* #≈≈≈..≈≈≈≈≈..##♣.♣♣♣#....#**#.#.....###?∩⌠⌠∩.#..#..#.#..#......#
 *,,,** **,,,  #≈≈≈≈≈≈≈≈≈≈..##♣.♣♣♣#....#**#.#...###.#.∩⌠⌠∩.#.#)#.#.+..#......#
 **,,*,,,*,,** #≈≈≈≈≈≈≈≈≈≈≈.##♣≈.♣♣#...##♣♣#.#.###...#.∩∩∩∩.#....)#.#..#......#
 *,,,**,**,,,* #[.≈≈≈≈≈≈≈≈≈≈##♣♣.♣.≈####♣♣♣#.#§#.....#.∩∩∩∩.#)....#.#..#.....^#
 *,,,,***,,,,* #...≈≈≈≈≈≈≈≈≈##♣♣♣.♣♣≈≈≈..♣♣#.#§......#......#.#)#.+.#..#....^.#
 **,,,,,,,,,** #....≈≈≈≈≈≈≈.##♣♣§.♣♣♣♣♣♣≈♣♣#.#.......###++###..#..#.#..#...^..#
  **,,,,,,,**  #...≈≈≈≈≈≈≈.∩##♣....§§..§§♣♣#.........#.♣..♣.#)....###########'#
   ***,_,***   #.≈≈≈≈≈≈≈≈≈.∩##♣§§§≈§.§§§§♣♣#########.#......#################.#
     ** **     #≈≈≈≈≈≈≈≈≈≈.∩##♣.♣.≈..§§.§♣♣#.#.#.#.#........#(#)#)#.#.#.#[#.#.#
               #.≈≈≈≈≈≈≈≈..)##♣♣♣♣♣♣♣♣∩§∩♣♣#................#+#+#+#+#+#+#+#+#'#
               ###############♣♣♣♣♣♣♣♣♣♣♣♣♣#................#.^^...^...^.^....#
 ****************************#################'##############..^.^.^..^......^#
 *,+,,*,,,,,,,**≈,,,,,,,,,,,*#)≈....≈)#,,,*##...##)#≈§≈≈§§###'#+#+#+#+#+#+#+#+#
 *,*, +,,****+**≈≈,,,,,,*****#≈......≈#,,,##.....##+#.≈≈§≈#.#.#.#)#.#)#)#[#)#.#
 *,****,,*,,,,**≈≈≈≈,,,,≈≈≈≈*#........#+###.......###§§§.§#.#'#################
 *,*,,**+*,,,,**,≈≈≈≈≈≈≈≈≈≈ *#........'...'.......+.........#..#.....^.)..^...#
 *,*,,*,,*,,,,**,≈≈≈≈ ≈≈≈≈≈,*#........#'###.......#####..≈#.#.^#..^^^....^....#
 *,+,,*,,*,,, **,,,≈≈≈≈≈≈,,,*#≈......≈#≈≈≈##.....##.^.##§§#[#..#^.##########).#
 ******++*******,,,,,≈≈,, ,,*#)≈....≈[#'#+###...###.#..##+###..#..#.,,,,,,,#..#
 **,*,*,,*,*,***,,,,,,,,,,,,*####++####.#.# ##'####.##.##...#^^#.^#.,,,,,,,#(.#
 *,,,,,,,,,,,,**8,,,,,, ,,,8*#%%+.....#'#####.≈≈≈+#^##.####.#^.#.^#M,,,,,,,#(.#
*******+*********** *+*******########.#[.'∩∩#.≈≈.#^^##......#..#..#§,,, ,,,#..#
*,,,,, ,,,,,,,,,,,,,,,,,,,,,,*,,,* ##.####∩∩#.≈≈.#######+####..#..#§########.2#
*,,,,,,,,,,,,,,,,,,,,,,,,,,,,*,,,###...###..#..≈.#,,+≈⌠,,,≈,#(.#..#§§§§§§§..§.#
*,,,,,,,,,,, ,,, ,,,,,,,,,,,,+,,,+.......'..'..≈≈+,,*≈≈,≈,≈,#..'..#§§§§§§§...^#
*,,,,,,,,,,,,,,,,,,,,,,,,,,,,*,,,###...###..#≈≈≈.#,,*,≈,≈,≈,###################
*,,, ,,,,,,,,,,,,,,,,,,,,,,,,*,,,* ##.##∩#..#(...#,,*,,,≈,,,*******************
********+*************+ *****########.#..#..####+#######+####,+,,,,*,,+,,,*,,,*
 *,,,*,,,,*,,,* ***≈≈≈≈≈≈≈≈≈*#......#'#+##..#.#.#.#.#.#.#.#.#,*,,,,*,**,,,*,,,*
 *,,,+,,,,+,,,* *,*≈*+*≈≈****#......#.+..+..+#.#.#.#.#.#.#.##,* ,,,* ,*≈≈≈*,,,*
 *,,,*,,,,*,,,*** *≈ ,*≈≈+,* #......#.####..#%#.#.#.#.#.#.#.#,*+**  *,*≈≈≈*,*,*
 **+********+** ≈≈≈≈*** ≈****#......'.#.#####################,*,,,,*,,*,, *,*,*
  *,,,,,,,,,,* *≈≈≈≈≈≈≈≈≈≈≈≈*#......###.#,,,,,,, ,,,,+,,,,*,+,*,,,,*,**,,,*,*,*
 **+************≈≈≈≈***≈≈≈≈≈*#.###..#...# ,,,, ,*,,,,*,,,,*,***,,,,*,,**** ,*,*
 *,,,*,,,,,,,,*****≈*,+≈≈*+**#.#^#..'...+,,,,,,,+,,,,*,,,,*,*,+,,,,**,* ,,*,*,*
 *,,,+,,,,,,,,* *,+≈***≈≈*,* #.###..#...#,,,,,,,*,,,,*,,,,*,*,**** *,,*,,,*,*+*
 *,,, ,,,,,,,,* ***≈≈≈≈≈≈*** #).....###+#,,,,,,,*,,,,*,,,,*,*,,,,  +,**,,,+,*,*
 **************   ********   ########,,, **** ***,, ,*,,,,+,************ ******
                                    *****       * ***********