,,,,,,;;;::::looxOOxocccc:;;,;;;;c;;;;,,:do,...,;:ccoddocc::lkd;;:cokd:;;::;:c:::;;:lc,'............
,,,;::;;;::clooododdolllc:;;;;;:::,,;;,';oc.  .'cxkOKNWKo:;;:c:,;lOKd;,;:::::cccc::;::;,,,,'..  ..''
,,,:c:;:cllloddxxxxxddolcc:,'',:;,'',;;'';:;;:ldkO0000K0xlc:,,,,:d0x;,;:::;::cccccc:;,,;;;;;,.   .,;
,,,::;:clloodO0KXXKK0kxdl:;,'';:;,,,,;::coxO0KXXXKK00OOkkkxdol::clo:,,;::;::cccccccc:;;,,,;::;'.,;::
,,,;:::::cc:coxdxxxkxdooc:;,,,,,,,,;;coxkO0KXXXNNXKK00OOOkkkkxxdl:,',,;;;::ccccccccccc:;,,,;;;:oxo:;
,,',::,'.....',;:looddoo:;::;,'',,;coxOOO00KXKKKK000OOOOkkkkkkkxxdl:,,;;::ccllcccccccccc:;,,,,cxko;;
,,'',;,...  .,ok0KKOoc:;,:kx:''',:oxkOOOO000KK00OOOOOOkkkkkkkkkxxxxdl:;;:cclllllllcccccccc:;,,:ldo::
,,,'.',,..  .cOOkxl,''''':dd;',;cdkkOOOOOOO0000OOOkkkkkkkkkkkkxxxxxxdol::clllllllllllllllccc:;;lxxl:
,,,''...... .':cc;..';;;,;;,',:oxkkkOOOOOOOOOOOOOkkkkkkkkkxxxxxxddxxdddl::clllllllllllllllcc:;;cddl:
,,,,''.............':c:;;;,',codkkkkkkkkkkkkOOkkkkkkkkkkkxxxddxdddxxdddol:;cllllllllllllllllcc:lddl:
,,,,,''.......'.  .',,;:;'.,cldxkkkkkkkkkkkkkkkkkkkkkkkxxxxdddddddxxdddooc;;cllllllllllllllllccoxxdl
,,,,,,,'..........,,'';;'.':lodxkkkkkkxxxxxxxxxxxxxxxxxxxxxdddddddddddooolc;:llllllllllllllcllokXXOd
,,,,,,,,'.......'::;,,'...,clodxxxxxxxxxxxxxxxxxxxddxxxxxkxxxdddddddddooool::clllllllllllllc:lodOOdl
,,,,,,,,,'.....;dkl,'....',clodxxxxxxkkkkkkkkkkkkxdddxxxxxxxxxxxdxxddoooollc::cllllllccccccc::::lood
,,,,,,;;,,,''..;dkl;,''''';cloxxxxxkkxxxxxxdooodddoooddooooollclllllc::clllcc:clllllldkkOOOOkxkkO00K
,,,,,,;;;,,,,'.'lOd;,,,,,,:llddxxxxddlccc:;,,,;::::clooolcc:;,''',;:::::cccccclodxxkk0XXXXXXXXXXXXXX
,,,,;;;;;;;,,'''coc;,,;;,,:lodddooooollcc::;;;;;;;::looolc:,'',,;:cccclcccccccd0KKKXXXXXXXXXXXXXXXXX
,,,,;;;;;;;;;,,:lol;,;;;;,:looddooodddddoooollccc::;:cool:;;;;,,;:ccccccccccccokKXXXXXXXXXXXKK00OOkx
,,,;;;;;;;;;;;:ldxoc;;;;,,:loodddoddddoolc;,',;:cccc:codoccc:;'.....',,,;;:ccc:lkKK00Okkxddollc::;;;
,,,;;;;;;;;;'.':kKko:;;:c::loooddolcccc:;;,,,,;:codddodxdoddlc:;;::ccccc:::ccc:cllcc:;;;,,,,,,,,,,,,
,,;;;;;;;;;,...,oxo;,,;:ccccoooddoollllllllc:::codxxxxkxxxxxxol:;;;:::clllllccclc,,,,,,,,,,,''''''''
,;;;,,'''''..',:clooodxo;:ccloodddddddollccccclodxxxxkkxxxddxxdolllllloddollcc:c:,''''''''''''''''''
;;:::::cloddxkOO000KKKKkc:c:cloddxxxxxxxxxxxxxxxxxxxkxxxxdoooddddxxxxxxxdollc:::;'''''''''''''''''''
dxxkOO0000000000KKKKKK0Odlc::clodddxxxxkkkkkxxxxxxxxxxxxxdollllodxxxxxxdoolc:;;;,'''''''''',,,,,,;;;
0000000000000OOOkkkxddoollccclclodddxxxxkkkxxxddooddddxxxxdolcccoddxxddooolc:;;;,,,,,;;;::cclllooddx
OOOOkkxxddoollccc:::;;;;:ccclllloddxxxddddddddoloodddxddxxolcccccllodooollcc::::cloolodxxkkkkkkkxxdd
llcc:::;;;;;;;;;;;;;;,;;;ccllllloddddddddooolcclllcc:ccccc:;,,;:::;:cllllcc:::::oxxxdoollc:;;,''....
;,,;;;;;;;;;::::ccllllloddlcllloooooooooolc::::;;'....,,,'.....';::;;;:::::::::;;'......            
;:::cclllooooooooollc:;;;,:cllloooolooolc:::cllc::::;,,,''',,,,,:c::;,;::::::::;..                  
ooollcc::;;,''.....       .,clloooolllllc::clooollllcc::cccc:::;;::::;;:::::::;,.                   
.....                      .;cloodoollllc:clllllllllcccccccc::;;,,,,;:;:::::::;'.                   
                            .;cloodollllcccccc::;;;;;;;;:;;;,,''''',;;;:cc::::,..                   
                            .':loodoolllc::c:,.................   ..,;::cc:::;'........             
                             .,cloddoolcc:::'.     .............  .';;::cc::;'...................   
                              .;cloooollccc:,.  .'',,;,,,,,,,,,,'.,;::ccc:;;,.......................
                               .;:clllllc:ccc;'.';:cccc::::::;;,'',;:ccc:;,'........................
                                .,::clllccccc::;;;;::ccccccc:;,'',,;:ccc:,'.........................
                                 .,;;:cllllcc:::::;;;;;;;;,,''''',;:ccc:,'..........................
                                  .,;;;:cllllccc::;;;,,,,,,,,,,;;:cccc;'............................
                                  .';,',,:clooolllllllllllllcccccccc:,...'.''.......................
                                  .,;'...',;clloolllllllllllc::;;;;,....','..''''''''''.............
                                 .,:;'....',,;;:cc:::::::::;;,''........','. ...'',,'''''''........'
                                .;lc;...'',,;;;,,,',,,''''.............','.     ....,;:ccllllooodddx
                                ..;;''',,;;::c::;'.............  ........           ..;ldkO00KKKKKKK
                                   ....',;::ccc:;'.....................                 .';coxO00KKK
                                        ...',,,'....     .....                              ..',;clo