................''''',,,,;;;::ccclooddxxxxxkkkkdoxxdddddddddddooooolllllccccc:::;,.::;;;;...........
.................'''',,,,;;;;::ccllooodddddxxxxdoxdddddooooooooooolllllccccc::::;'.:;;;;'...........
........ ..........''',,,,,;;;:::ccllllooooooodolddoooodOK00Oxlllllllccccc:::::;;..;;;,,............
........  .... .....'''',,,,,;;;:::cccccclllllll:ollllldOKK000Olcccccccc::::;;;;,.,;,,,,............
.........  ..........''',,,,;;;;::cllll:cccccccc:llcccclolcOkOOdcccccccc:::::;;;'.,,,,,.............
'........  ........''',,,,,;:ldx0kOOO0XXXKOxoc::;ccc::::;.;lxdc:::::::::::c:::;;'.;;,,,.............
...................''',,,;lxxdOOKOK0WWXXWMWWNKkd:c::::::'':;;;;;;;;::c::::l:;;;;.';:;,,.............
..................'''',,lO0oxOKKKK00Nd'.cXWWWWXOkl::;;;l'lkkkxxxdodxoc::::l:;;;,.,;:,,'.............
 .................'''',d00OOOKNNKo:l0NK00NWWNNKkOOkl,,lk,l000Odxc;;::lc:co:;::,'.;,;,,..............
 ................'''''ckOkkdKXXNKd:ckWNddxkxddxO000Olcdd:,O0kooko:':,';lc;,',;c:',,,,,..............
  ............''.'''':dkkddd0KKXXXXXXXOlooool';xkdddd,:ol'oxxc:,',,::;;;:ccc;.:;:,,,,'..............
  ..........''''.'',,:dxxxxcdOO0Oxdddo:loddOK..:xxkdo;:cl;collllcc:::::cccccc;::o;,,,...............
   .........,,,,'.,,,,:lodoocclc,dkOOO00KXKd...;olk00000OO00O00O000OO00OO0OOOOOOO:,,,...............
 ...........,,,,,.,,,,;:loc::ccc:::::ccdoc:,..;cl:dO0000OOl''''''.......oOOOOOOOO,,''...............
....'',,,,,,;::::;cccccc:clollllcl::,',:::::;ccc:'cOO0OOOOkdodddddooooookOOOOOOOk:;;;,,,,,,,,'''''''
'',;:ccclloooodddddddddddlcclcccclclllllccclllcc:coOOOOOkxkOOOOOOOOOOOOOOOOOOOOOkddooolllcccc:::;;;;
';ccclllloooooddddddddddddolclllclccllolcclllccldxxOOOOOkxxxxkOkkkkkkkkkkkkOOkOOxdddoooolllcccc:::;;
:ccclllloooooodddddddddddoooollcccloolcc::::;coooookOOOOddddxxkddkxxddddxxdkkkkkxddooooollllcccc:::;
ccccllllloooooooddooooollllcc::::;;::coddol:':cccccxOOOOkxxxkxkxxdxxxxxxkxxkkkkkdoooooolollllcccc:::
ccccllllllloooooolllllcc::;;,,''''''','',;codxdolc;okkkkkkkkkkkkkkkkxkkxxxxxxxkklclllllllllllccccc::
:ccccllllllllllllllccc::;;,,''.......''...''..,:codxkxxxxddddddooooooddooddooddo::cccccllllccccccc::
cccccccllllllllccccc::;;,,''.......................':::cloxxkxdxoooddddddxdddddo::::cccccccccccccc::
:cccccccclclcccccc:::;;,,,''.................................................,;;;;;:::cccccccccc::::
:::ccccccccccccccc::::;;,,''.................................................'',,;;;;::::::cc:::::::
::::ccccccccccccccc::::;;,,,'''...............................................',,,;;;:;:::::::::::::