*****************************************
*,,,,,^*,,,,*,,,,,,,^,,,,*,,,,^,,^*,,,,,*
*,,,,,,*,,,,*,,,,,,,,,,,,*,,,,,,,,*,,,,,*
*,,,,,,*,,,,+,,,^,,,,,,,,*^,,,,,,,*^,,,,*
*,,,,,,*,,,,*,,,,^,,,,,,,*^,,,,,,,*,,,,,*
*^,,^,,*,,^,*,,,,,,,^,,,,*,,,,,,,,*,,,,,*
*,,,,*****+***************+*********^,,,*
*,,,,*,,..............,,,,,,,,,,,,,**+***
***+**,,,.............,,,,,,,,,,,,,*,^,,*
*,,,{*,,,,............,,,,,,,^,,,,,*,,,,*
*<,,{*,,**#...........,,,^,,,,***,,*,,,,*
*,,,{*,,* #.................^,* *,,*,^,,*
***+*#,,* #szZ............M.,,* *,,*^,^,*
*,,,{#..###zss...............,***,,*,,,,*
*,,,{#$..<.MWsVM......M......,,,,,,*,,,,*
*,,,{+..Sssz8M.s8M...........,,,,,,*,,,,*
*,,,{#..ZSMWWM#s......[...#..,,,,,,***+**
*,,^{#..^.s.MzMV{M...........,,,,,,*,,,^*
*****#...$..Z.MnMM...........,,,,,,*,,,,*
*>,,{#......M.WZM8...........,,,,,,*,,,,*
*,,,{#........#sszZ......M#..,,,^,,+,,^,*
*^,,,#.......s§s.M.°MZ.M.....,,,,,,*,,,,*
*,,,,*,,,,,...?.§○°.M..8.....,,,,,,*,,,,*
*,,,,*,,***........M.M.....?.,***,,******
*,,,,*,,* *........M8........,* *,,*,,,>*
*,,,,*,,* *........WM.Z......,* *,,*,,,,*
*,,,,*,,***.......Z.zZW......,***,,*,,,^*
*^,,,*,,,,,.....s.M.z.n......,,,,,,*,,,,*
*,,,,*,,,,,.......☼.M........,,,,,,*,,,,*
****+******###############**********,,,,*
*,,,,+,^,,,,*^,,,,<{^{,*{,,,^,,,*,,,,,,,*
*,,,,*,,,,,,*^,,,^,,,,^*^,,,,,,,*,,,,,,,*
*,,,,*,,,,,,+,,,,,,,,,^+^,,,,^,,+,^,,,,,*
*,,,,*,,,,,^*^,,,,,,,,,*^^,,,,,^*,,,,^,^*
*,,,,*,,,,,,*,,,^,,,,,,*,,,,,^,,*,,,,,,,*
*****************************************