*********#############################################################
*,,,,,,,.............................................................#
*,*,,*,.#..##.....#..###..#..#.....(#..##...##..#...##..###.....#....#
*,,,,,,............................................<.........#).#....#
*,,,***########....#########################################.........#
*,,,*         #.##.#                                #......#.........#
*,*,*         #.##.#                                #......#######...#
*>,,###########....##          ######################'######     #.#.#
*,,,................#          #.........................#       #.#.#
*,,,..........##..#.#          #........)))..............#       #...#
*,,,,...............############.........)...............#       #...#
*,,,,#####...######...............########################       #.#.#
*,,,,*,,,#.#.#    #...............#                              #.#.#
*,,*,+,,,#.#.#    #...............#                              #...#
*,,,,*,,,#.#.#    #.#.............#                            ###...#
*,,,,*,**#...######...............###############           ####.....#
*,,,**,****####.................................#           #).#.....#
*,,,*,,,,,,,,,#....................).......#....#           #..#.###.#
*,,,*,,,,,,,,,#........................##..#(.#.#           #..#.....#
*,,,*****,,**,#............................#..#.#           #..#.....#
*,,,,,,,*,,**,#....}..................[.........#           #..#.....#
*,,,,,,,*,,**,#################'#############################..'.....#
*,,,,,,,*,,**,*#...........................................##..##....#
*,,,,,,,*,,****#................................................#..#.#
*,,,,,,,*,,*   #................................................#....#
*,,,,,,,*,,*   #...........................................##...#....#
*,,,,,,,*,,*   #<...............)).........................##...#..#.#
*,,,,,,,*,,*   #............(.((([).........................#...#..#.#
*,*****,*,,*   #............(...<)(.........................#...#....#
*,*   *,*,,*   #.................(.........................##...#...,*
*,*   *,*,,*   #...........................................##...#.#*,*
*,*****,*,,*   #.........................................∩......#,,,,*
*,,,,,,,*,,*   #................................................#,,,,*
*,,,,****,,*   #...........................................######,**,*
*,,,,*  ****   #########################.#######+#######.####   *,,,,*
*,**,*  *********************##########..#     *,*     #....#   *,,,,*
*,,,,*  *,,,,,,,,,,,,,,,,,,,,............# *****,***** #....#   *,*,,*
*,,,*****,,,,,,,,,,,,,,,,,,,.............# *,,,+,+,,,* #....#   *,,,,*
*,,,*,,,,,,,,,,,,,,,,,,,,,,..............# *,***,***,* #....#   *,,,,*
*,,,*,,,,,,,,,,,,,,,,,,,,,...............# *,* *,* *,* #....#****,,,,*
*,,,*****,,,,,,,,,,,,,,,,................#**+***,***+**#..#.#,,,*,,,,*
*,,,,,,,+,,,,,,,,,,,,,,,.................+,,,,,,,,,,,,,+....#,,,*,,,,*
*,,,,,,,*,,,,,,,,,,,,,,,.............g.g.#**+***,***+**#....#,,,*,**,*
*,,,,,,,*,,,,,,,,,,,,,,,..........>......# *,* *,* *,* #c...#,,,*,,,,*
*,,,,,*,*,,,,,,,,,,,,,,..................# *,***,***,* #.cc.#,,,*,,,,*
*,,,,,*,*,,,,,,,,,,,,,,..................# *,,,+,+,,,* #c...#,,,+,,,,*
*,,,,,,,*,,,,,,,,,,,,,,...........%......# *****,***** #....#,,,*,,,,*
*,,,,,,,*,,,,,,,,,,,,,,,.............Y...#     *,*     #.#..#****,,,,*
*,,,,,,,*,,,,,,,,,,,,,,,.$............YYc#######+#######....#   *,,*,*
*,,,*,,,*,,,,,,,,,,,,,,,..............Osc!%c....cc.c.c...#..#   *,,,,*
*,,,*,,,*****************#############C#######...##.....##.?#   *,,,,*
*,,,*,,,*,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,** #..###.....#*>.#   *,,,,*
*,,,,,,,*,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,* #..# #.....#*,.#****,**,*
*,,,,,,,******************+******************#..# #...!.#*,,/,,,,,,,,*
*,*,,*,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,...#*#.......,,.*,,,,,,,*
*,*,,*,,,,******,,*,,*,,,,,,,,,,,,,,,,,,**,,#....,........,,,*,,,,*,,*
*,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,..............,,,,,,,,,,,*
*********************************************####*#######*************