:;;;;;,;;;;;,,,,,,,,,,,';;:;,'..''',;,;:;cccccllclc:::::::::
:;;;;;,,,,,,,,,,;''',;,,,;;;;,',;:;;,;;;;:::ccclllllc:::;:::
;;;;;;;,,,,,,,,,,,,,,,;,,,;:cl:::ccl:;;,,:cc:cccccllccc::;;:
;;:;;;;;,,,,,,,,,',',,,',:coolccc:;;:l;'',,;clllccccccccc::;
;;;;;;;;;;,,,,,;;;,,,,,:lllollc;;::;,;;,,,,,:cllccccccccc::;
:::;;;;;;,,,,,,,;:c::;;::cloolc:'';:;,','.;;.';:cclcccccc:::
;;:::;;;;,,,,,,,;:cccc::::ll;:;,;;',;:;,;::c,,;;::cccc::::::
;;;;;;;;;,,,,,,,;;:::::cccollclc'.',,;:;;,,,;'',;:::cclc::::
::;;;;;;;,,,,,,,,,;;;;:ccllol:c;locc,;lo:;:;','';;;;::::::::
;;;,,,;,;;;;,,,,,,,,;;::ccccccc:cl:::cllcc:;;,'';;;;;:::::;;
;;;;,,,,,,;;;;,,,,;;;;;::cccccll:;;clol;:::;;;;,,;:::::::::;
;;;;;,,,,,,,,;;;,,,,;;;;;;::::c:;;:cllllcc::,,c;;;;;;;:::;;;
;;,,;,,,',,,,,,;::;,;;;;;;;::::::cccclolc:;;::ol:::::;;;;;;;
;;;;;;,,'',,,,,,,:::;,,;:;;;;:;:cccccccoccc:co:;;,:::::;;;;;
;;,;;;,,,,,,,,,,',,;,;,,,;:;;;:;:cccllccclolclc,,;;:::::::;;
;;;;,,,,,,,,,,,,,'',,;;;;,;;:::::::cccccooool:c;,;;;::::::::
;;;;,,,,,;;,;;,,,,,,,;;;;;;,;;;;;,,;;;cooooollol;;::;:::::::