*****************************************
*,,,,,*,,,,,,,,*^,,,,,,,,^,,*,,,,*,^,,,,*
*,,,,^*,^,,,,,,*,,,,,,,,,^,^*,,,,*,,,,,,*
*,,,,,+,,,,,^,,*,,,,,,,,,,,,+,,,,*,,,,,,*
*,,,^,*^,,,,,,,*,,,,,,,,,,,,*,,,,*,,,,,,*
*,,,,,*,,,,,,,,*,,,,,,,,,,,,*,^,,*^,,,,,*
*,,,,*********+***************+*****,,,,*
******,,,,,,,,,,,,,,,,,,,,,,,,,,,,,*,^,,*
*,,,,*,,,,,,,,,,,,,,,**,,,,,,,,,,,,**+***
*,,,,*,,,,**,,,,,,,,,,**,,,,,**,,,,*,^,,*
*,^,,*,,****,,,,,,,,,,,,,,,,,****,,*,,,<*
*,,,,*,,**,,,,,$...(....M.,,,,,**,,*,,,,*
*,,,,*,,,,,,,,,,.......).,,,,,,,,,,**+***
*,,,,*,,,,,,,(,*█.......█*,(,,,,,,,*^,,,*
*,,,,*,,,,,,,(.██.....M.██.(,,,,,,,*,,,,*
*,,,,*,,,,,,*(...(!8..M.....,,,,,,,+,,,,*
**+***,,,,,**......zzMZ.....,,,,,,,*^,,,*
*,,^,*,,,,,*,.....§MWM8Z....,,,,,,,*,,,,*
*^,,,*,,,,,,,....§ZW§WnZ....,,,,,,^******
*,,,,*,,,,,,,.....○SSWW.....,*,,,,,*,,,>*
*,,,^+............§.........**,,,,,*^,,,*
*,,,,*......................*,,,,,,*,,,,*
*,,,,*.........██.......██..,,^,,,,*,,,,*
******......W%.██..^...^█*,(,,,,,,,*,,,,*
*>,,,*,,...^M.z..........,,,,,,,,,,*,,,,*
*,,,^*,,**.........(......,,,,,**,,*,,,,*
*,,^,*,,***█.....██,,,,,,,,,,****,,*,,,,*
*,,,,*,,,,*█<.....█*,,,,,,,,,**,,,,*,,,,*
*,,,,█...............,,,,,,,,,,,,,,*^^,,*
*,,,,████████████████***************+****
*,^^,,,,*,,,,,,^,*,,,,<,,,,,*,,,,,,+,,,,*
*,^,,^,^*,,^,,,,,*,,,,,,,,,,*,,,,,,*,,,,*
*,,,^,,^+,,,,,,,,+^,,,,,,,,^+,,,,,,*,,,,*
*,,,,,,,*,,,^,,,^*,,,,,,,,,,*,,^,^,*,^,,*
*,,,,,,,*,,,,,^,,*,,,,,,,,,,*,,,^,,*^,,,*
*****************************************