*****************************************
*^,,,,*,,,,,,,,*,,^,,,,,,,,<*,,,,*,,,,,,*
*,,,^^*,,,,,,,,*,,,,,,,,,,,,*,,,,*,,,,^,*
*,,,,,+^,,,,,,,*,,,,,,,,,,,,+^,,,+^,,,,,*
*,,,,,*,,,,,,,,*,,,,,,,,,,,,*,,,,*^,^,,,*
*,,,,,*,,,,,,^^*,,,^,,,,,,,,*^^.,*,,,,,,*
*,,,,*********+****###########M#****,,,,*
***+**,,,,,,,,,,M,,,..........$.,,,*,,,,*
*^,,,*,,,,,,,,,,..,,........^...,,,**+***
*^,,,*,,,,,,,,,,.^.,#....^......,,,*,,,,*
*,,,,*,,,,,,,,,,...M#.sz........,,,*,,,,*
*,,^,*,,,,,,*#....M...s.sw.##...,,,*,,,,*
*,,,,*,,,,,**#...#######.M.##*v.,,,******
*,,,,*,,,,***....#######....##*.,,,*,,^,*
*,,,,*,,,***,.....8..s§$.§...#**,,,*,^,,*
*,,^,*,,,**,,....v............#*,,,+,,,,*
******,,,,,,,?......8sZ.}s.W..Z,,,,*,,,,*
*,,,,*,,,,,,,...)............M.,,,,*,,,,*
*,,,,*,,,,**,....^)...(..ZM..##,,,,******
*,,,^*,,,,,,,.......)...s......,,,,*,,,>*
*,,,,+,,,,,,,............§..M..,,,,*,,,,*
*,,,,*,,,**,,...........W.zs..#*,,,*,,,,*
*,,,,*,,,***,...........zzz..##*,,,*,,,,*
######,,,,***....#######....##*,,,,*,,,,*
#>^^.#,,,,<**#...#######s..##*,,,,,*,,,,*
#....#,,,,,,*#$........../.#*,,,,^,*,,,,*
#^...#,,,,,,,,,,,...#((......,,,,,,*,,,,*
#....#,∆,,,,,,,,,.,,#^.......,,,,,,*,,,,*
#.^(^#,,,,,,,,,,,,,..........,,,,,,*,,,,*
#....####****#****###########*******+****
#.......#,,...,,,*,^,,<,,,,,*^,,,,,+,,,,*
#..MzZ^M#^...^,,,*,,,,,,,,,,*,^^,^,*,,^,*
#..1MZ.M'^..M.,,,+,,,,,,,,,,+,,,,,,*,,,^*
#.WzMbM^#^....,^,*^,,,,,,,,^*,,,,,,*,,,,*
#^..W.4.#,,^..,,,*,,,,,,,,,,*^,,,,,*,,,,*
#########****#***************************