###############################***********#######################***************
#...............................,, ,,,,,.........................,,,,,,,,,,,,,,*
#...............................,,,,,,,..........................,,,,, ,,,,,,,,*
#...............................,,,, ,..........................#************,,*
#................................,,,,...........))))............#,,,,,,,,,, *,,*
#................).....)%........,,,,........}..).######'#......#,,,,,,,,,,,+,,*
#....∩...........#######)###.....,,,,.............#......#...%..#,,,,,, , ,,*,,*
#................#......)..#,,..,,,,...........)..#......#......#,,,,,,,,,,, ,,*
#................'[....(...#,,,,,,,,..............#......#......#,,,,,,,,,,,*,,*
#................#.........#,,,,,*############....#...<..#......*,,,,,,,,,,,*,,*
#................#....>....#,,,,,##.#.#.#.#.##....#......#....., ,,,,,,,,,,,*, *
#................#.........#, ,,,#...........#....#......#....,***'*####****#..*
#................#.........+,,...#.....>.^...#....########., ,,*.,,,#..#,,,.#..#
*................#.........#,....+...........#.(.........,,,,,,#..,##..##,..#..#
*,,,.............#..[......#.....##.#.#.#.#.##..............,,,##'##....##'##..#
*,,,,,,...###########+######.....######'######..#'#######......#............#..#
*,,########...#....#..(#, ,........#......#.....#.......#......#,..........,#..#
* ,#......#...#....#...#,,,........#......#.....#.......'......#*+*#....#*+*#..#
*,,#.....%####(####'####,,.........#......#.....#.......#......#,,,*#<.#*,,,#..#
*,,#......')..#))..#...#  .........#...../#.....#.......#......#,,,,#..#,,,,#..#
*,,#.....)')..#=...#...#,,....(....'......#.....#.......#......######'#######..#
*,,#......####'####'####,..........#......#.....#......,#..........#......#....#
*,,#......+...#....#...#,..........#......#.....#.....,,#..........#......#....#
#.,#......#...#....#...# ..........#......#.....#..,{,,,#..........#......#....#
#..+......##############,..........########.....#,,, ,,,#..........#[(....#....#
#..##'#####...,,,,,,,,,,,..#######..............+,,,,,,,#..........#......#....#
#.............,,,,,,,,,,,,* ,,,,,##.............##******#..........'......#....#
#..............,,,,,,,,,,**,,,,,,,##...............,,,,,...........#####'##.%..#
#.......######*******,,,,* *,,,,,*,#....=.....################.................#
#.......#, ,*,, *{*,*,, ,*,,* *** ,#..........'..............#............%....#
#.......#*,*,*,*,*,**,,,,*,,*  **,,########...#..............#....######'##....#
#.......#{*{*,*,*,*,*,,,,*,*,,,,,*,*,,,, ,#...#..####..####..#....#.......#....#
#.......#*{*∆,,,,*,**,,,,**,,,,,,,**,,,,,,#...# ,*,,#..'..#..#....#.......#....#
#.......#,*,,,,, , ,*,,,, ,*,,,,,*, ,,,,,,*...#,,*,,+..#..#..#....#.......#(...#
#.......#{,*,,,,,*,,*,,,,*,,*****,,+,,,,,,*...#..####..####..#.)..#.......#....#
#....=..#,*,,,,, ,*, ,,,,*,,*****,,*,,,,,,*...#..............#....#.......#....*
#.......#*,*, ,,,*,**,,,,*,*,,,,,*,+,,,,,,'...*..............#....#.......#.,,,*
#.......#,*,*,*,*,*,+, ,,**,,,,,,,*########...#..####..####..#....#....$..#,,,,*
#.......#*,*,*,*,*,**,,,,,**,,,,,*#...........#.,*,,#..#,,#..#....#########.,,,*
#.......#,*,*,,,*,* *,,,,,,* ****#............#,,*,,+..+,,#.<#...............,,*
#.......##*******+***,,,,,,,,,,,,.............#,, **#..#**#..#...............,,*
#....∩...#,,,,,,,,,, ,,,, ,,,,,,,.............# ,,,,....,....#...............,,*
#........#,,,,,,,,,,*,,,,⌠,⌠,,,,..............#,,,,..........#..............,,,*
#........#, ,,,,,,,,*,,,,, ,,,,,.........)....################..............,,,*
#........#,,,,,,,,,,#..,,⌠,⌠,,,,........))..........(...,,,,,...............,,,*
#........#,,,,, ,,,,+.....,,,,,,........................#***#######........,,, *
#........#,,,,,,,,, #........,,,,.......................#####.#####........,,,,*
#........#,,, ,,,,,,#.........,* ############...........##.......##.........,,,*
#........############..........#,,,,,,......#...........##.##'##.##.........,,,*
#..............................#,,,,,,,.....#...........##.#...#.##.........,,,*
#..............................#,,,, ,,.....#...........#..#.>.#..'.........,,,*
#..............................#,,,,,,,.....#...........##.#...#.##.........,,,*
*..............................#,,,,,,,.....#...........##.#####.##.........,,,*
*,.............................#,,,,,,,,,...#.).........##.).....##.........,,, 
*,,.......############'##......######*#####'#...........#####.#####.........,,,*
*,,,......#.............#{∩.............................###########.........,,,*
*,,,,.....#.............#...#############......########.....................,,,*
*,,,,,,...#.............#...#........JJ.#....).#......#....................,,,, 
*,,.......#.....>.......#...'%##.....##.#......'......#)...................,,,,*
#.........#.............#...#..##...##{,#.....)#......#....................,,,,*
#.........#.............#...#...##.##,,,#......#......#...................,,,,,*
#.........#.............#...#....### ,{,#......#......#..................,,,,,,*
#.........###############...#...##,**,,,#......#......#..................,,,,,,*
#...............,,,, ,,,....#..##,,,**,,#......#:.....#.................,,,,,,,*
#...............,,,,,,,.....#.##,,,,,**, ......#.....,#.................,,,,,,,*
#................,,,,,,.....#..,,,,,,,,,*,,....#....,,#.................,,,,,,,*
#................,,,,,,,,,!.###********** ,,,,.*#*****#................,,,,,,,,*
#................,,,,,,,,,,,,,,,,, ,,,,,,,,,,,,,,,,,,, ,,,,..........., ,,,,,, *
#...............,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,.........,,,, ,,,,,*
################**** ************ ****************** ***** ****###* ************