############### ###           ###  #####                                       
#<.#%.+...♣♣♣♣♣♣♣.#############!####[#.#####################*******************
#<.#%.#......♣♣♣♣.#___#__)#__##.:#∩.##..+.#...##.[..[.....)#*,,,,,, ,,,,+,≈≈≈≈*
##+####....♣♣♣♣♣..#)..#%..#)_#..........#.#...##≈≈≈≈##..##.#*,  ,,,,,,,,*≈≈≈≈≈*
#.....#....≈.♣♣♣♣.###+#+###+##..........#.#...≈≈≈[[..[..%#)#*,,,,,,,,,,,*,≈≈≈≈*
#.....#...≈≈.♣♣♣♣.#..........#.........##.#...##≈≈≈≈##..##}#*,,,,,,,,,,,*,≈≈ ,*
#.....#..≈≈≈≈♣.♣♣.+.⌠........#...#.##..##.+...##...['....[|#*,,,,,,,,,, *≈≈≈≈≈*
#####+#..≈≈≈≈≈≈...#...######+#......########################*,,,,,,,,,,,*,≈,,,*
#)....#.≈≈≈≈≈≈....#.⌠.#..#...#'#####################§#######*,,,,,,,,,,,*,,,,,*
#...%.#.≈≈≈≈≈.....#...#_.#...#..≈§§§.#.'.§.'.#.#.#§§§%%§§§/#*,,,,,,,,,, *, ,,,*
#.....#.≈≈≈.......#+###_.#...#.#≈§§#§#.#...##.#.#.#§%%%§≈.##********* *** ***+*
#+#####...........#..)#_.#...'.#§§.#§#§#...#§#§#§#Y#%%.§≈≈≈#*,, ,,,,+,, ,,,,,,*
#.................#___#..+...#.#§..#.§.#)..##§#§#.##%.%≈≈≈≈#*,*******,,,,,,, ,*
############################################§#§#.#.#%%%.%%.#*,,,,,,.*,, ,,,,,,*
 #...+.≈≈≈≈≈≈≈≈♣♣[....♣♣♣♣≈≈≈........≈≈≈...##§#.#.##%%.%%..#******#G*,,,,,,,,,*
 #..P#≈≈≈§§§§≈≈♣♣.≈≈≈≈'♣♣'♣≈≈≈≈≈≈≈≈≈≈≈≈♣♣..§§#§#.#.#%..%.%%#*,,,,,..* , ,,,,,, 
 #.PP#≈.§§§§≈≈≈≈'.....#.≈♣♣♣♣♣♣♣♣♣♣♣♣♣♣♣♣P.##...#.#################'###########
 #..P#≈≈§≈§§.≈≈♣♣♣♣♣♣♣#..♣♣♣♣♣♣♣♣♣♣♣♣♣♣♣♣♣♣##'###############.#...#§#§§§§§§§≈(#
 #..[#[.≈≈≈§≈≈.♣♣♣♣♣♣♣###'♣♣♣♣♣♣♣♣♣♣♣♣♣♣♣♣♣#...'(≈≈≈≈##?.≈≈≈#§§..#§.#§≈≈§≈≈≈≈≈#
 ###+####'#######♣♣♣♣♣♣♣♣.##..##≈≈≈≈≈≈..#([....#.≈§≈≈#≈)≈#§§#.#§#.§.#§§.§§§§§§#
 #...............♣♣♣♣♣...##.##.#≈≈≈≈≈...#()#...#.#§≈≈##≈##≈§#..#§#.##§§§§§§§§§#
 *#+#############'♣♣♣♣♣.##.##.##'≈≈≈≈§####+#####.#(≈§≈###≈§≈#...#...§§§§§§§§§§#
 *,..#≈P..........♣♣♣♣♣..#.##...#≈≈..§§§§§§#)....###§≈≈≈§§≈§################+##
 *,,.+≈≈...######.#♣♣♣♣♣.##.##.[#≈..+#######.....#.#(≈≈§≈§≈≈#}..#)..#[.#......#
 *,J.#≈≈≈...........♣♣♣♣.##.#####...#...)).#.....#+###§≈§§§≈#...#...#..#..PPP.#
 *,J.#≈≈≈≈........)P♣♣♣.....##......#♣♣♣)_.#.....#§§§#)≈§§≈§##+###+##..#..P)P.#
 *+#############+#############'#############'#####§§§###§§###.......+..#...PP.#
 **,******     #...........f##≈♣♣♣*********#.§..§'.§§+)#)##.#.#####.####......#
  **,*,,,***   #≈≈P......f≈≈##♣≈♣♣♣** ** **#§#############..+.#)..+.#/.+......#
  **,,,,,,,**  #≈≈≈Pf..P.≈≈≈##♣.♣♣♣######**#§#%PP.§§.....+..#######.+..#......#
 **,,,,,,,,,** #≈≈≈≈≈..≈≈≈≈≈##♣♣.♣♣#....#**#.#PP§§§§.########.....#.####......#
  ,,,,** ,,,,* #≈≈≈≈≈≈≈≈≈≈≈≈##♣.♣♣♣#....#**#§#P..§§###!∩⌠⌠∩.#..#..#.#..#......#
 *, ,**,**,,,* #≈≈≈≈≈≈≈≈≈≈≈≈##♣.♣♣♣#....#**#.#..)##§.#.∩⌠⌠∩.#.#.#.#....#......#
 **,,*,,,*,,** #≈≈≈≈≈≈≈≈≈≈≈≈##♣..♣♣#...##♣♣#.#§###§§.#.∩∩∩∩.#.....#.#..#......#
 *,,,**,**,,,* #≈≈≈≈≈≈≈≈≈≈≈≈##♣♣.♣♣≈####♣♣♣#.#+#§§§§§#.∩∩∩∩.#.....#.#..#......#
 *,,,,***,,,,* #≈≈≈≈≈≈≈≈≈≈≈≈##♣♣♣........♣♣#§#§.§.§.§#......#.#)#.'.#..#.....^#
 **,, ,,,,,,** #≈≈≈≈≈≈≈≈≈≈≈≈##♣♣.≈♣♣♣♣♣♣≈♣♣#§#.§§..§§###++###).#..#.#[.#....^^#
  **,,,,, ,**  #≈≈≈≈≈≈≈≈≈≈≈≈##♣...≈.≈.§.§♣♣#§§§...§§.#§⌠..⌠.#)....###########'#
   ***,_,***   #≈≈≈≈≈≈≈≈≈≈≈≈##♣.....§§...♣♣#########.#§§....#######***#######.#
     *****     #≈≈≈......≈≈≈##♣.♣...§....♣♣#.#.#.#.#§..§....# *,* *,*,#.#.#)#.#
               #≈≈..∩∩.∩..≈≈##♣♣♣♣♣♣♣♣∩∩∩♣♣#.......§§§.§....#+*+#+#'#'#'#'#'#'#
               ###############♣♣♣♣♣♣♣♣♣♣♣♣♣#.......§§§§§....#,,,....(V.^.^....#
   ***** ******************** **** *##########'##############,,,...M.)..(.....#
 *,+,,*,,,,,,,**≈,,,,,,,,,,,**,≈,,,,≈,*,,,*##...##,*≈≈≈≈≈≈***+*+ +#'#'#'#'#'#'#
 *,*,,+,,****+**≈≈,,,,,,******≈ ,,,, ≈*,, ##.....##+* ≈≈P§*,*,*,*,*,*, ,#z#.#.#
 *,****,,*,,,,**≈≈≈≈,,,,≈≈ ≈**,,,,,,,,#+###.......###...P≈#,*+********* #######
 *,*,,**+*,,,,**,≈≈≈≈≈≈≈≈≈≈,**,,,,,, ,+...'.......+.......R, ,,*,,,,,,,,,,,,,,*
 *,*,,* ,*,,,,**,≈≈≈≈≈≈≈≈≈≈,**,,,, ,,,#+###.......#####.P≈#,*,,*,,,,,,,,,,,,,,*
  , ,,*,,*,,,,**,,,≈≈ ≈≈≈,,,**≈,,,,,,≈#≈≈≈##.....##,,,**,≈*,*,,*,,**********,,*
 ******++** ****,,,,,≈≈,,,,,** ≈,,,,≈,#'#+###...##*,*,,**+***,,*,,*,, ,,,,,*,,*
 **,*,*,,*,*,***,,,,,,,,,,,,***** +***#.#.# ##+##**,**,**,,,*,,*,,*,,,,,,,,*,,*
 *,,,,,,,,,,,,** ,,,,,,,,,,8**,, ,,,, #'#####,≈≈≈+*,** ****,*,,*,,*,,,,,,,,*, *
*******+*************+**************#.#!.'∩∩#,≈≈,*,,**,,,,,,*,,*,,*, ,,,,,,*,,*
*,,,,,,,,,,,,,,,,,,,,,,,, , ,*,,,* ##.####∩∩#,≈≈,***####+*** ,,*, * **** ***,,*
*,,,,, ,,,,,,,,,,,,,,,,,,,,, *,,,***...**#..#,,≈,*,,+≈⌠..,≈,*,,*,,*,, ,,,,,, ,*
*,,,,,,,,,,,,,,,,,,,,,,,,,,,,+,,,+,,.8.,,+..+,,≈≈+,,#≈≈.;,≈,*,,+,,*,,,,,,,,,,,*
*,,,,,,,,,,, ,,,,,,,, ,,, ,,,*,,,***...###..#≈≈≈,*,,#.≈.≈,≈,*******************
*,,,,,,,,,,,,,,,,,,,,, ,,,,,,*,, * *#.##∩#..#,,,,*,,*,..≈,,,********* *********
********+******  **** +******** ****#.#..#..####+#######+####,+,,,,*,,+,,,*,,,*
 *,,,*,,,,*,,   ***≈≈≈≈ ≈≈≈≈**,,,,,,#+#+##..#%#.#.#.#.#.#.#.#,*,,,,*,**,, *,,,*
 *,,,+,,,,+,,,* *,*≈***≈≈*+***,,,,,,#.+..+..'#.#.#.#.#.#.#.##,*,,,,*,,*≈  *,,,*
 *,,,*,,, *,,, ** *≈ ,+≈≈*,* *,,,,,,#.####..#.#.#.#.#.#.#.#.#,****+**,*≈≈≈*,*,*
 **+****** *+***≈≈≈≈***≈≈****#.o.@..+.#,*####################,*,,,,*,,*,,,*,*,*
  *,,,,,,,,,,* *≈≈≈≈≈≈≈≈≈≈≈≈**......###,*,,,,,, *,,,, ,,,,*,+,*, ,,*,**,,,*,*,*
 **+************≈≈≈≈** ≈ ≈≈≈**.###..*,,,*,,,,,,,* ,,,*,,,,*,***,,,,*,,*****,*,*
  ,,, ,,,, ,,,**** ≈+,*≈≈*+***,#^#.,+,,,+,,,,,,,+,,,,*,,,,*,*,+,,,,**,*,,,*,*,*
 *,,,+,,,,,,,,* *,+≈ **≈≈*,* *,###.,*,,, ,,,,,,,*,,,,*,,,,*,*,******,,*,,,*,*+*
 *,,,*,,,,,,,,* ***≈≈≈≈≈≈*** *,,,.,, **+*,,,,, ,*,,,,*,,,,*,*, ,,,,+,**,,,+,*,*
 ******* *** **    *******   ****#***,,,* *******,,,,*,, ,+,********** ** *** *
                                    *****       *************