'::::ccccccccccccccclllllcccccllcccccccccccccccclllllllllccclccllllllllllllllllcclllllllllllllllllllloollooooooooooodooooooodoooddddddddddddddddl,.....''',,,,'''''''',,,,,''''''',,;:clooddddddddddddxxddxxxxxxxxxxxxxxxxxxxxxxddddddddoolllllc:;,''''''',,;;;;;::cccclllllllll:;,,''..''''''',;:looooooo
  '::c::ccccccccccccccllcccccccccllllccccccccllccllllllllllclllllllllllllllllllllccllllllllllllllllllloolllooooooooooodoooddddoodddddooddddddddoooc,......'',,,,,,''''''',,''''''''''''',;;:cllloodddddddddxxxxxxxxxxxxxxxxxxxxxxxxddddddoollccclc;,'',,;;;;:::cc:ccccccccccllllllcc:;,,''''''''',;:looooooo
  '::cccccccccccccccccllcccccccccllllllccccccclllllllllllllllllllllllllllllllllllcclllllllllllllllloollllllloooooooooodoodddddooodddoooodddddddooo:,..'....''',,,,''',,'''''''''''''''''''''',,,;:cloodddxxxddxxxxxxxxxxxxxxxxxxxxxxddddoolllccc:;;,;::::cccllllllllcccccccllllllllllc:;,''''''''',;cloddooo
..'::cc:cccccccccclcclllccccclllllllllllllcccccllcccclllllcllllllllllllllllllllllccllllllllcccccllllllllllllloooooooooddddoooooooooooooddddddooool:'........'''''''',,,,'''''''''''''''''''''''''',,;;:cloddxdxxxxxxxxxxxxxxxxxxxxxxddooollllc::;::cccclllllooollllllllcccccccllllcccccc:;;,,,,,,,,;:loddddd
..,:::cccccccccccclllllcccllllllllllllllllccccccccccccllccccllllllllllllccccllllllcllllllllccc::cclllllllllllloooooooooooooooooooooooooddddooodooo:'.......',;;,,'''''''''''''''''''''''''''''',,''''''';loddxxxxxxxxxxxxxxxxxxxxxxdddooooolllccclllllllooooooooooollllllcccclllcccccccllc:;,,,,,,,;;coodddd
..,::cccccccccccccllllllccllllllllllllllllllllllccccccllcccclllcccclllllcccccccccccllllllllccc::::cclllllllllllllllllloloooooooooooooooddddddooooo:'..''...,coolllc:;;,''''''''''''''',,,'''''',,''''''';oddddxxxxxxxxxxxxxxxxxxxxxdoooooooooooolloooooooooooooooooooooolllllllllccccllllllc:;;;,;;;;clodddd
..,c:ccccccccccclllllllllcclllccllllccclllllllllcccccccllccllllccccclcccc:::::::::::::cccc:::;;;;;::cccccccc:::::;;;;;:ccllooooooooodddddddddooool:'.'''...;ldddddddoolc::;,,,'''''',,,,,'''''',,'''''',cdddddxxxxxxxxxxkkxxxxxxxxxdooooooooooooooooddddddddooooodoooooodooooolllllllllllllllc:::;;;;:lodddd
..,c:ccccccccccccccccllllcccccccccccclllccccccccclcccccccccllllccccccc:;,,,,,,,'....'',,,''.....''',;;:::::;'........'';:clloooooodddddddddooodool;'.''....;lddxxddddddddoollc:;,,,'''''''''''',,''',,',cddxxxxxxxxxxxkkkxxxxxxxxxxddddddodddoodddddddddddddddooodddddddddddddooollllllllllllllllc::::codddd
..,cccc:ccccccccccccccllcccccccccccccllccccccccccccccccccccllcc:::::;,'.............................',,;;;,'...........',;:cllloooooodddddoooooool;'.......;ldddxxddddddddddddoollc:;,,,,''''''''''',,,;ldxxxxxxxxxxkkkkkxxxxxxxxxxxxxxddddddddddddddddddddddddddddddddxxxxdddddooollllllolllloddolcc::loddd
..,ccccccccc::::cccccclllllcccccccccccccccccccccccccccccccccc::;;,,'..........................   .......'''..............',;ccllloooooooddoooooool;........;lddddxxxddddddddddddddddollcc:;'''..''''',,:oddxxxxxxxxkkkkkkkxxxxxxxxxxxxddxxxxdddddddddddddddddddddddddddddddddddddddooooloooooooddddoolcldddx
..,ccccccccccccccccccclllllllcccllcccccclccccccccccccccc:::::;,'.....        ....        ...        .......................',;::ccllloooooooooolol,........;lddddxxxddddddddddddddddddddddc,''...''.'',cdddxxxxxxxxkkkkkkkxxxxxxxxddddxxxxxxxddddddddddddddddddddddddddddddddddddxxxdddoooooodooddddddoodddd
..,ccccccccc::cccccccclllllllllcccccccclllccccccccccccc::;;;,'....                                       ..   .. .............''''',;::cllooooollc,........;ldddddddddddddddxxdddddddddddoc,''...''''';lxxxxxxxxxxxkkkkkkkxxxxxxxxxddxxxxkxxxxdddoc::cllooooooooddddoddddddddxxxxxxxxxddddddddoodxddxxdxxxxx
  'cccccccccccccccccccllllllllllccccccclllcccc::::::::;;,,''....                                                        .............',;;:clllollc,'''.....;lddddddddddddddxxxxddddddddddo:'''.....''';oxxxxxxxxkkkkkkkkkxxxxxxxxxxxxxxxxxxxxxxddc,'',,,;:clloodddddddddxxxxxxxxxxxxxxxxxxxddddddxxxxxxxxxxx
  ,lcccccccccccccccccccllllllllllccccccllllccc:,'''',,''......                                                              ...........'',::cllooc,..'.....;odddddddddddddxxxxddxxdddddddo;'''.....''':dxkkkkxxkkkkxxxkkkkkxxxxxxxxxxxxxxxxxxxxxo:'''''''',,;;:cloodddddxxxxxxxxxxxxxxxxxxxxxdddddxxxxxxxxxx
  ,lcccccccccccccccccllllllllllllccccccclllccc:;,'...........                                                                  ....  .....',;:cllc'........;oddddddddddddddxxxddxxxddddddl;'''.....'',ldxkkkxxxkkxxxxxxxxxxxxxxxxxxxxxxxxkkxxkkxl,'.''...''''''',,;::clooddddddxxxxxxxddxxxxxxddddxxxdxxxxxx
  ,lcccccccccccccccclllllllllllllccccccccllccc:;,'.........                                                                          .....'',;:cc:'........:odddddddddddddddxxxxxxxddddddl,'''....''.,oxxkkkxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxkkxkxd:'''''....''...''''',,,;:cclloooddddddxxxxddddddddxxdddxxxxx
..,cclllcccccccc:cccclllllllllllllccccccccccc:;,......                                                                                .....'',::c:'........,:llooooddddoooddxxxxxxxddddxdc,.'.....'..':loddxxdxxxxxxxxxxxxxxxxxxxxxxxxxxxxxkxxxl,''''....'''...'...''''''',,;::cllooddddddddddddddxxdddxxxxx
..,ccllccccccccccllllllllllllllllllcccc::;;;,''...  .                                                                                   ....';:cc;'...........',;::clloooodddddxxxxddddxdl:,,''.....'''',;:clooddddddddxxxxxxxxxxxxxxxxxxxxxxxo:'''......''''......'....'''''',,;;;:cclooodddddddxxxdddxxxxx
..,cccccccccllccclllllllllllllllllllcc:;,'......                                                                                          ..';:clc,'...............'',;:cllooddddddddddxxdddolc:;;,'','''''',;;:cclodddxxxxxxxxxxxxxxxxxxxdddo:''''....''..'''''..'''....'''''''''',,,;;::clloooddddddddxxxx
..,ccccllllcccllclllllllollllllllllcc:;'.....                                                                                             ....',:lc;'..........''.......',,::clooodddddddddxxddddolc::;,,,,,,,,''',;:clloddddxxxxxxdddxxdddddl,'''''''''....'''''''''..''''''.'''.'''',,,,,;;:::cllooodxxxxk
..,cccccclllccccccclllllllllllllllccc:,...   ..                                                                                           .....';:cc;'........';:;;,'''....'''',;:clooodddddddxxxxxxddool::;;,,'''''',,,;:ccloodddddddddddddo:''''''''.'''''''''''''''''''''...''..''''',,;,,,,,;;::cloxxxxx
  ,cccccclllccccc:ccccllllllllllllcccc;'..                                                                                                .....';clll:;,''....';looolcc;,,''......',;:cclooddddxxxxxxxxxdddolc:;,,,'',,,,,,,,;::clooddddddddl;'',''''.';:;;,,,'''''''''''''''''''''''''''',,'',,,;;;:cdxxxxx
  'c:ccccllllccc::ccccccclllllllllccc:,...                                                                                                .....',:cloolc,'.....';ldddddddoc:;;,''''..''',,;:clodddddxxxxxxdolcccllc::;;,,,,,,,,,,,;;:ccloodo:,',,,,'..;looollc:;;,,,'''''''''''''''''''''','',,,,,,;cdkxxxxx
  'c::cccclllcc:::ccccccccccclllcccc;'..  .                                                                                                  ...';clooooc;'.....';lddddddddddolcc:;,''.....'',,;:lloddxxxxdol:;;:cllllllc::;,,,,,,,,,,,;;:::;'',,,'..,coddddddooollc:;;,,',,,,''''''''''',''',;,,,,:oxxxxxxx
  'c:cccccclllc:cccllcc::ccccccccc:,..                                                                                                       ...',:loooool;'.....';codddddddddddddoolc:;,'''..''',,;:clloddolc:::::ccloddddolc::;,,,,,,,,,,,,'',,'..';odddddddddddddoollc::;;,,',,,,,,,''''',,,,,;:lxxxxxxxx
  'c:cccccccllccccccccc::cc::::::;'..                                                                                                        ...',:looooddl;'......',::cccclooddddxxxxddolc:;;,'''''',;;;::cccllllooddddddxxxdddolc::;;,,,,,,,,,,'.',cdxdddddddddddddddddddolc:;;,,,,,,'','',,,,,;cdxxxxxxxx
  '::c:::::clllccccccccccc:::::;'..                                                                                                          ....,:looooodol;........'''''',,;:clodxxxxxxxxxdolc:;,,,,,,'''',;;:cloddddddddddddddddddolc::;;,,,;;;,,:odxddddxdddddddxxxxxxxxddddolccc:,'',''',,,,:oxkxxkkxxx
  '::::::::cccccccccllcccccc:;,...                                                                                                           ....,:loooooddo;...'''..''.......',;:lodxxxxxxxxxxddoollc:;,''''''',,;ccllodddddddddddddddddoolcc::;;;,cdxxxddxxxxxdddxxxxxxxxddxxxxxdxdc,''''',,,';ldkkkkkkkkk
  '::::::::::cccc::cccccc::c:;'...                                                                                                            ...,:loooooddo;..;llc:;,'''.......'',;cloddxxxxxxddxxxxddolcc:;;,,,,,,,,;::cloddxxxxxdddddddddddoolcccoxxxxxxxxxxxxxxxxxxddxxxxxxxxxxxo:',,',,,'',cdxxkkkkkkkk
  ':::::::::::cccccccclcc::::;'....                                                                                                           ..';cllooddddl;.':odddollc:;,'......'''',;:clodxxxxxxxxxxxxxxddolc::;;,,,,,,,;:cllooddxxxdddddddddddddxxxxxxxxxxxxxxxxxxddddddxxxxxxxdl,',,'',,',:oxxxxkkxxkkk
  ':::::c:::::::::::cccccc:::;,....                                                                                                            ..,:llooodddl,.':llooooddddolc:;,''''....''',;:cloddxxxxxxxxxxxxxddolc:;;,,,,,,,,;;:cllodddddxxxxxxxxxxkkxxxxxxxxxxxxxxxdddddddxxxxxo:,',,'',,';oxxxxxxxxxxxx
  ':::::::::cc::::::cccc:::::;,'..                                                                                                             ...';cllooddc'.,cllllllloodddddoolc:;,''''.....'';:cloddxxxxxxxxxxxxxddoolc:;,,,,,'',,;;::cloddxdxxxxxxkxxxxxxxxxxxxxxxxxxxxdddxxxdoc,,,,'','';cdxxxxxxxxxxxx
  ':::::::::cc:::::::::::::;;;,...                                                                                                              ....':clodo:'.,clooooollllllooddddddolc:;,,'''....'',;:cloddxxxxxxxxdddddddool::;,,,'''',,,;:cllodxxxxxxxxxxxxxxxxxxxxxxxxxdddddxdc;,,,,'',,,:ldddddxxxxxxxx
  '::::::;;:::::;;::::::::;;;,..                                                                            ........               ....           ...;:cool;..'.';:cloooddollllloodddddddolc:;,,''''''',,,;:clodddxxxddddddxxdddoolc:;,'''''',,,;:clodddxxxxxxxxxxxxxxxxxxxxxddddo:,,,,''',,',::cllodddddxxx
  ':::;:::;;::::;;;;;;;:;;;;,..                                                                       ...............           ..........         ..;clool;.......',;:cloodddoollolclodddxxxdolc:;,,'''''''',;::clodddddddxxxxxxxxxdolc:;;,,''''',,,;:cloodxxxxxxxxxxxxxxxxxxddolc:;,,'''''',,',;;::clooddd
  ':::;:::;;;:::;;;;;;;,,,,,..                                                                       .........'........    .................       ..,;:lol;............',;:coodddoc;',;:llodxxxxddolc:,,,,,'''''',;:clodddxxxdddxxxxxxxxddolc:;,,,,,,,,,;:ccloddxxxxxxxxxxxxxdddddoolc:;,,,,,,,,,,,,,,;:ccl
  ':::::;;;;;;::;;;;;,,'',,'.                                                                       ..',,'',;;,'',,''..........''''''''''....       ..',:ll,.',,'''........''',;:cc:'.....',;clodxxxxxdollc:;,,'''''''',;:clooddddxxxxxxxxxxdddollc::;,,,''',,;:cllooddddddxxxxxxxxxxxddoolc::;,,,,'',,,,,,,
  ':::::;;;;;;;;;;;;;,,,,;,'.                                                                    ....';;;,;cc:,,;::;,''.....'',,;;,,'',,,'....      ...':lc,';clllc;,''...........''.....''...'';:clodxxxxddolc:,''''''..''',;:clodxxxxxxxxxddxxxxxddolc:;;,,,,,,,,,;:clooodddxxxxxddddxxxdddoolc:;;,,,,,'''
  ':::::::;;;;;::;;::;;;::,..                                                       ...............',;:::ccc:::clllc:;,,,,'',,;:::;;,,,,,,'....      ..';c:'.,codoooolc:;,''.''....';::;,,,'......'',:cloddxxxxdolc:;,,''''..'''',;cloddxxxxddxxxxxxxxdddoolc:;;,'''''',,;:cloooodddddxxxxxxxdddddollc::;,,'
  '::::::::;;;;;;;;;::::::,..                                           .......................''',:cllllloddoooodooolc:::::ccllccc::::;;;,,....     ...,:,...',;:clooooollc:;,''..'codoolc:;''''''''''',;;clodddddddolc:;,'......''',;:cloddxxxxxxxxxxxxxxxddoolc:;,''''''',,;;:cloodddxxxxxxxxdddddddollc:
  '::::::::::;;;:;;;;;;;;;,..                                          ...................',,;;::clodxxxxxxkxxxxxxxdddoooooooooooolccc::::;,'...      ...'........',;:clooodolcc:;'';looddddoolc:;,''''.....',,;looddxxxdolc:;,''..'''''',,;:cooddxxxxxxxxxxxxxxxddolc:;;,,''''''',;;:clodddxxxxxddddddddddd
  '::::::::::::::::;;;:;;;'.                                       ...........'''''..''',;::cloooodddxxxkkkkkkkkkkkkxxxxxxxxxxddddollcc:::;;,'..       ...............'',::clooool,..',;cllodddddollc:;,'''....,collooodddxxxdolc:;,,''''''''',;;clooddxxxxxxxxxxxddddddoll:;,,'''''',,,;::clooddddddddddddd
  '::::::::::::::::;;:::;;,..                                 ................'''''',,;:cclloodddxxxxxxkkkkOOOOOOOOkkkkkkkkkxxxxdddolcc::;;,''....    .....'''''...........'',;:c:'......',;:clooddddddolc:,'.':oddddooooodddddxxddolc::;,'''''''',,;:cloodxxxxxxxxxddddddddoolc:;,,''','',,,;::cllooddddddd
  ':::::::::::::::::;;:::;;,.                                .............''''''',,,;::ccloooddxxxxkkkkOOOOOOOOOOOOOOkkkkkkkxxxdddolc::;,,''......   ....';:c:;;,,''''........................',;:codddxdddol;',:clddxdddddoooooddddxxxddoc;;,,'''''''''',;cloodddxxxddxxddddddddoolcc;,,,,''',,,,;:cllodddd
  '::;;:::::::::::::::::::;;'.                               .........''',,,,,,,,;;::ccllloddddxxkkkOOOOOOO000OOOOOOOOOOOkkkxxdolc::;,'............  ....,cooooolc:;,,'''.......................''',;:clooddo:'..',;:clodddxddolloooodxxxxdddool:;,'''''''..',;:clodddddddddddddddddddollc:;,,'',,,',,;;:clo
  '::::::::::;;;::::::::::::,..                              .......'''',,;;,,;;;:::cclloodddxxxkkOOO0000OO0000OOOOOOOOOkkkxdol:;,'................. ...';cloodddddoolc:;;,''''.....................''',,;:::,.......'',;:clooodddoolllooooxxxxxxdol:;,,''.......',;;:coooodddddddddddddddoollc:;,,,''',,,,;
  'c::::ccc::::::::::::;::::;,.                              .......''',,,;;;;;;::ccclllooddxxxkkOOO00000OOO0000OOOOOOkkkkxdol;,'.......................',;cloddxdddxxxdolc::;,,,'''...................''','..',''.......'',,;:looddddooc,,:cloddxxxxdolc:;,,'''.....'',;::cloodddddddddddddddddoolc:;,,,'''
  ':::::::c:::;;;:::::;;;::;;,..                            ........'',,,,,;;;;::::ccclloooodxxkkkOOOOO00OOOO00OOOOOOkkkkxdol:'...........''''............';lodxxdddxxxxxxdddolc::;,,'''.................''..:ooc::;,'''......',,;:cllooc'..'',;:clodddxxdoolc:;,''.......'',;:ccloodddddddddddddddddollc:;,
  .;:;::::c::;;;;;::::;;:;;;;,'.                            ........'',,,,;;,;;;:::::ccccllloddxxxxxkkkkkkkOOOOOOOkkkkkkxxdl:,........'''',''..............,codxxddxxxxxxxxxxxxxdoolc:;,,'''................,ldddddolc:;;,'''''''''',,,;,..''..''',,;:cooddxxdddolc:;,'''''''''',,;:clooddddxxddxxdddddxddoo
  .,;;::::c::;;;;;;;::;::;;;;,,..                          .........'''',,,,,'',;;;;;;::::::cccclllcllodxxkkkkkkkkkkxxxxddoc;,......',;;,;;,'''....''.......,:codddxxxxxkkxxxxxkxxxxddoolc:;,,''.............,:cloodddddolc:;,,''''''''';::;,'.''.....',,;cloodddxdddol:;;,'''.....'',;:cllodddddddddddddddd
   .,;;;;::::;;;;;;;::::;;;;;,,'..                        ...........''''''.......''',,,,'''''''',,,,,:ccloddxxxxxxxxxdddolc;'..''',;;:;''''''.....',,,'......',;:cloddxxxxxxxxxxxxxxxxxxxdoolc:;,,'''.........',;:clloddxxddolc:;,,,,',cddolc:;,''.......'',;:clodxxxddddol:;,,''''...''',;:clooddddddddddd
   ..,;;;;:::;;;::::;;:;;;;;;;;;'.                        ............'..............................'',;:cloodddxxxxddoool:,'''',;;,''...':c:,....';;;;'.........',,;clodxxkkkkkkxxxxxxxxxxxxxdollc:;,''.........''',;:cloddddddolcc:,,coddddooolc:;;,''''''...',;:cloddxxxddolc:;,''.....''',,;:cclooodddd
    ..,;;;::;;;;;::::;;;;;;;;;;;,.                      ..............................................'',;:ccloddxxxxdddool:;,'',;'..''...'cdoc,''',;:::;'.....''.....'',;clodxxxkkkxxxxkkkkkkkxkkxxdolc:;,'''.........''',;:llodddddl,.';:clloodddddolc:;,,''.''..'.':llooddddxxddol:;;,''''''..''',;::cloo
    ..',,,;::;;;;;;;;;;;;;;;;;;;,'.                    ...............................................''',;;:cloodxxxxxxddlc;;,;::;'......;clc;;,,,;;::::,.....'''..''''''''',:clddxxxxxxxxxxxkkkkkkkkkxddoc:;,,''...........'',;ccll:.....'',;;:llooodddoolc:;,'...';loooollloddddxddoollc:;,''........',,;
     ..',,;;::;;;;;;;;;;;;;;;;;;,,..                   ........................''''''',,,,,,'''''''''','',,;:cclodxkkkkkxdoc:::cccc:,,;::;:c:::::;;;;:::::,...........'''''''..'';:clodxxxxxkkkkkkkkkkkkkkxxxdolc:;,'.............'''............'',;:llodddoollc:,'';lodddddoollllooddddxxddolc:,,'........
      ..,,;;;:;;;;;;;;;;;;;;;;;;;,'..                  .......................'''''''',,;;;,,,,''',,,,;,,,,;:cclodxkOOkkxxdlcccc::c:clcc:::cc:::::::ccc::::,..............'''.....''',;:clodxxxxxkkkkkkkkkkkkkkkxxdol:;,,,''..........................',;:clloooolc'.',,:cloddddoollllllodxxxxxxdolc;,'.....
       ..,,,;;:;;;;;;,;;;:;;;:;;;;,...                 ............................'',;::;,,,,,''',,,,;;;;;;:clloodxxkOkkkdollcccclclccccccclccccclllllllcc:,..''''.....................',;:cloddxxkkkkkkkkkkkkkkkkkxddolc:;,,''..........................',;;:ccc;.......',;:cclooooolllloooddddddooollc:;,
       ..',;;;:;;;;;;;;;;:;;;:;;;,'...                 .................................',...,;;;,,,,,:ccc:;:clllooddxkkkkxdoolcclloooolllllllllllooooooollc;'..''''''.....................'',;;:clodxxxkkkkkkkkkkkkkkxxxxddoc:;,,'...........................''''............'',,;:clooodooolllllllooddddoo
        ..';;:::;;;;;;;;;::;;;;;;,'.                   ............................... .''...cdxoc:;;;:ldoc::clllloodxxkkOkxxdollllooodoooooooooddddddddddol:,...'''''''.....................''''',;:clodxkkkkkkkkkkkkkkkkkkxxddolc:;;,'''.......................';c:;,'............',;:cllodooll:;,;:cloodd
         ..,;:::;;;;;;;;;;:;;;;;;,'..                  ............................''.......,lddoccccccloolcccllllooddxkOOOkkxdooooooddxxxxxxxxxxxxxxxxxxddoc;'..'''''''''''...................'....'',;:cloddxkkkkkkkkkkkkxxxxkxxxdooc:;,'''''..................:ldoool:;,''...........'',;:cclc;.....',;:c
     . .. .',;:::;;;;;;;;;;;;;;;;,'...                 ...........'''.............,;;,'',,;:clllcccllooolllcclllloooddxkkOOOkkxddooodddxxxkkkkkkkkkkkxxxxdddoc,....'''''''''...',''.....................''',;:clodxxxxxxxkkkkkkkkkkkxxxddlc::;,'''...............,:clooooolcc:;,'............'','...........
        ....';;;;;;;;;;;;;::;;;;;,'...                  ........',,,,,'''''''''''',;;::::ccccccccloodddoolllllllooddddxxkkOOkkkxdooooddxxxkkkkkkkkkkkkkkxxddoc,....''''''''''..;llc:;,,''................'''''',,;:cloddxkkkkkkkkkkkkkkxxxxddolc:;,''''............'',;:cllooollcc:;,'..........',;,'.......
  ..     .  .',,;;;;;;:;;;;:;;;;;,'........             ........',;;;;;,,,,,,,,,,,,,;;;:::::ccloooodddddoooooooooddxdddxxxkkkkkkxdddoodddxxkkkkkOOOOkkkkkxxdoc;...''''''''',,..cdddddol:;,''................''''''''',;clodxxkkkkkkkkkkkkxxxxxxddolc:;,,'''.............',,:cllloooolc:;;,'....';lllc:;,'...
 ....  . .  ..',,;;;;;;;;;;;;;;;,,'..........           ........',;;;;;;;;;;;;;;;;::::::ccccloddddddddxdddooooooddxxddddxxxkkOOOkxdddooddxxkkkkkkkOkkkkkkxxdlc;...'''''''',''.'lxxxxxxxddol:;,'''..............'.......'',;:codxxkkkkkkkkkxxxxxxxxxddoolc:;,''...............',;:cclllllllc:,..';:clllllcc:;
 ....  .. .. ..,,,,,;;;;;;;;;;,,,,,'............        .......'',;;;;;;;;::::::ccccllloooodddddxxxxxxxxxdddooodddddddddxxxkkkOOOkkxdddddxxkkkkkkkkkkkkxxxxdlc;...'''''''''''';oxxxxxxxxxxdddol:;'''.......................'',;:clodxxxxxxxxxxxxxxxxxxxxddolc:;,''................',;:cccllc,.....',;::cllll
 ..'.. .. ..  .',,,,,;;;;:;;;;;;;,,,,,,'...........     ........'',;;;;;::cccclllooooddxxxxkkkkkkkkkkkkxxddddddddddddddddxxxkkkOOOOkkxdddxxkkkkkkkkkkxxxxxxdlc,...'''''''''''':dxxxxxxxxxxxxxxddoc,'........................''''',;;:cloddxxxxxxxxxxxxxxxxxxddoolc:;,''................',;;'...........',;:c
  .''..       ..,,,,,,,;;:;;;;;;;;;;;;:;'....'''......  ........'',;;::::cccllooodddxxxkkkkkOOOOOOOOOOkkxxddddddddddddoddxxxkkOO0000Okxddxxxkkkkkkkkxxxxxdool:,........'''''',lxxxxxxxxkkkxxxxxxxo:,''............................''''',;:cloddxxxxxxxxxxxxxxxxddddool:;,''................................'
 ...'...    .. ..,;,,,,,;::;;;;;;,,;;:::;'...',,'................'',;;::::cclooodxxxkkkkkOOOOOO000000OOkkxxdddddooooooooddxxkkO00KK00Okxddxxxxkkkkkxxxddddllc;'.........'','.;oxxxxxxxxxkkkxxxxxxxdc,'............................''.....'',,:cclodxxxxxxxxxxxxxxxxxxxdolcc:;,'.............................
 ...'...    .....',;,,,,;;:;;;;,,;;;,;;;;,'..,;,,................'',,;;:::cclloddxxkkkOOOOO0000000000OOOkxxxddoooooddddddddxxkOO0KK0OOkxoodxxdxxxxxxxdddoolc:,..........''''':dxxxxxxxxxxxkxxkxxxxxdc,..'........................'''..........'',;:cloddxxxxxxxxxxxxxxxdddddolcc:,'.........................
  ..'''..     ....',,,,,,;;;;,,,,,,,,,,,,;,'..,,,'................'',;;:::cclooodxxxkkkOOO0000KKKKK000OOkkxxdolllodxkkxxddddxxkkkOOOkkxolloolodxxxxxddooollc;'..........'''''cxxxxxxxxxxxxkxxkxxxxxxoc,''................................'........'',,;:cloddddddxddxxxxxxdddddddolc:;,.....................
  ..''''..    .....,,,,,,,;;;;;,,,,,,,,,,,,;,..',''................'',,;::cclloodxxxkkOOOO0000KKKKK000OOOkkxdollodxkkOOkkxdoooodddxxxolc:::codxxxxxddoooollc;'.........''''',lxxxxxxxxxxxxddxkxxxxxxxoc,''''............................................'',;:clooddddddxxxxdddddddddollc:;,'................
 ...''.'...    .. .',,,,,,,,;;;;;,,,,;,,;;,,,,'''''.................'',;;::cclooodxxxkkkkOOOO000KK000OOOOkkxdlclodxkkOOOkxolcccclcllccccccldxxxxxxddooollcc:,.....'...'''''';oxxxxxxxxxxxdccoxxxxxxxxxo:,,,'.................................................'',;:clooddddddxxdddddddooooolc::;,'...........
 ..........  .    ...',,,,,,,,,,,,,,,,,,;;;,,,,,,'''.................'',,;;:clloooddxxkkkkkkOOO00000OOOOkkkkxolcloxxddoooolcc::::;::lodxxxkkkxxxxdoollllc::;'....'''.''''''':dxxdxxxxxxxxd:,:dxxxxxxxxxdc,'''.....................................................',;:clloooddddddddddddddddoollc:;,''......
 ........'..       ..'',,,,,,,,,,,,,,,,,,,;;;;;,,,,,'..''..............'',,;::cllooddddxxxkkkOOOOOOOOOOOkkkkkdolclllc::clooddddollodxkkkkkkkkxxxdollcccc:::,........''''''',ldxxddddddddxo;',:dxxkkkkkxxdc;''..........................................................'',;:llooooddddddddddddddoooolc:;,''.
 ........''..       ..'',,,,,,,,,,,,,,,,,,,,;;;,'''',,''................''',,;::cclooddddxxkkkkkkkOOOOOkkkkkkxxdooolooodxkO000Okkxkkkkkkkkkxxxdddolc:::::;;,.........'''''';odddddddddddxl''.'cdxkkkkkkkkxl;'...............................................................',;:cllooooooooodddddddddoollc::
..........''..     . ..''',,'',,,,,,,,,,;,,,,,,,,'''',,'..................''',,;;::clooddddxxxxkkkkkkkkkkkkkkkkkkkkkkkkOOO00000OOkkkOOkkkkxxxdddool:;;;;;;;,,'''''''''''',,;odddxddddddddc'...,lxxxkkkkkkkxl,'...................................................................',;:cloooooooooddddddoooooo
..........'''..      ...'','','''',,,,,,,,,,,,''''..''''...................'''',,;;:cclooddddxxxxxxxkkkxxxkkkkkkOOOOOOOOOO0000OOkkkkkkkkkkkxxxdddoc:;;;;;;;;;;;;;,,,''''',,cddddddddddddo;.....;oxxxxxxkxxxdc,........................................................................',;:clloooooooooooodoo
...........''...  .  ....''',,,''',,,,,,,,,,''''''...'''...................'''''',,;::ccloodddddxxxxxxxxxxxxxkkkkkkkOOOOOO00OOOkkkkkkkOkkkxxddolc:::::;;;;;::::c::::;;,''',lddddddddddddl'.....':oxxxxxxxxxxoc,............................................................................',;cllloooooodddd
................       ...''',,''',,,,,,,,'''''''''.........'...............''''''',;::ccloooodddddddddddddddxxxxxxxkkkkOOOOOOOOOkkkkkkxxollc:;,,;:::;;;;;::cccccccc:;;;,,;oxddddddddddoc.......':dxxxxxxxxxxoc'...............................................................................',;;clllloooo
.................       ...''''''',,''''''...................................''''''',;;:cclloooooooooooooooooodddddxxxxkOOOOOOOOkkxxxdolcc:;;;,;;;:::;;;;::cccccclccc::;,,:ddddddddddddo:........,cdxxxxxxxxxxo:'...................................................................................',;:clll
..............''..       ...''''''''''''.............''............. .........''''''',,;::cclloooollllolllllloooddddxxxxxxxxddooollcc:;;;;;;;:cc:;;::;;;:ccclllllllcccc:;;coddddddxddddo;.......'';ldxxxxxxxddol:'......................................................................................'',;
...............'..        ..''.'''''''........................'.................'''''',,;;::ccllllcccllllllccclllloodoollcccccccc:;::;;,;::clolc:;;;;;;;cclllllllllcccc::;:ldxddddxxdxxo;........',;ldxxxxxxddddl:'.........................................................................................
...............''..        .....'................................................''''''',,;:::cccccccccccc::;;;::::::;;,,,;;;;;:::cccccloodddoc:;;;;;;;:cclllllllllllcc::;;cdddddxxxxxxdol:,'....'',:oddxxxxdddddl;'........................................................................................
................''..        .......................................................'.'''',,;;;::c:::::::::;;,''''''''''',,,;;::cllooodxxxxxdol:;;;;;,;;;:ccllllllllllccc:;;codddddxxxxxxxxddol:;,''',:oddddddddddol:'.......................................................................................
.................'...        ..'......................................................'''',,,,;;:::;;;;;;;;;;;;,,,,;;;::cccclloodxkkkkxxddolc:;;;;;;;;;;;:cccllllllllcc::;;:loodddddxxddxxxxxdddlc:;',codddddddddddl;'......................................................................................
..................'...       ...........................................................'''',,,,;;;;;;;;;;;::::;;;;;;::ccllodxxxxkxxdollcc:;,;:::;;;;;;;;;:::ccllllcccc::;,:looooddooooooddddddoodoolccooddoodddddool;'.....................................................................................
;,.. .............''...      ..............................................................'''',,,;;;,;;;;;;:::;;,,,,,,;;;:cllolllcc:::;;;;;;:ccc:::::::;;;;:::ccccccc::;,,:oooooooool:,;cclooooooooooooooooooododdool,'.............................................................................''',,,;
c:'. ...................       ..............................................................'''',,,,,,,,,;;;;;;;;,,'''''',,;;;;;;;;,,,;;;:loolc:::cccc:;,;;::::cccccc::;,,;lolooolloc,..'',,:clllooooooooooooooooddool;'...............................................................'''',,,,;;:::cccllll
cc'......................       ................................................................''''''''',,,,;;;;;;,,,'''''''',,,,;;:cclooddxdlc::cllcc:;;;;;;;:::::::;;;,'',;:clllll:'.......',;::cllloooooooooooddoool;'....................................................'''',,;:::cccccccllccccc:::::;
cc'......................        ....................................................................''''''',,,,;;;;;;;;;;;;;;:clloddddxxxdddoc:::lllccc:;,;;;;;;;:::;;,,'....'',;:cl:............'',;:cllooooooodddddool;'......................................''',,;;::::::cccccccccc:::;;;,,,'''''......
ll,.......................        .....................................................................''''',,,;;;;:::cclllooddxxxxxxxdddddol:;;:clolccc:;,,;,'',;;;;;,,,'.........'''................',,;:clllooooooooooo:'........................'''',,;;;:::::ccclccccc:::::;,,,''''''..............''',
ll,..  ....................        ........................................................................'',,;;;;::cclooddddxxxxdddooolcc:;,,;clllllcc;,,,;,''',,;;;,,,'................................'',,:looooooooooo:'..........'',,,;;;;::::cccllllccc::;;;,,,,,'''............''''',,,,;;;:::::cccc
ll,... .. ..................        ..........................................................................'',,;;:::ccloooooooollcc::;,'''',:ccccclc:;,,,;;,'''',;;,,,'....................................';clllllllccc:,,,;;;::ccccllllllllccc::;;;,,,,''''........'''''',,,;;;;;:::ccccccc:::::;;;,,,,
ll,...     ..................        ............................'''''''''.....................'''''..............'',,;;::ccccc::::;,''.....'';cllc::::::;,,;;,''.',;;,,,'....................................',;::::cccccclllllllllllcc:::;;,,,''''''''''''',,,,;;;::ccccccccccccc::;;;;;,,,,'''''''',,,,,,
ll,....    ...................        .........................'',,,;;;;;;,,'..................'''''''..................'''''''''..........'',:loolc;;;;;;,;;;,,,'',;;,,,,'..........................''',,;;::::ccccccccc::::;;;,,,,,,,,,'',,,,,;;;;::ccccccccccllllccc::::;;;,,,',,,,,,,,,;;;;;:::::cccllcc
ll,....      .................         ......................'',,;;::::::::;;,,'..................'........................................'',:llool:;,,,;;;;;;;;,,;;;,,,,,'..............'',,;;;::::::::::::;;;,,,,'''''''''''',,;;;:::cccllllllllllccccc:::;;;;;,,,,,,,,,;;;:::::cclllllllllllllllllllllll
ol,........ ...................         ....................',;;;::cccccccc::::;;,'.......................................................',,;coooolc:;;;;;;;;;::;;;;;;;,,,'...'',,,;;;;;:::::;;;;;,,,'''''''''''''',,,;;;;;::ccclllllccccc:::;;;,,,,,,,,,,,,;;;:cccclllllllloooooooooollllllllllollllllllll
ll,.............................        ..................'',;;::cclllllllccc::::;;,''..................................................'',;,;cooollc:;;;;;;;;:::::::;;;;;,,''',;;,,,,''''''..''''''',,,,;;;;::::::::::::::;;;;;,,,,''........',;;;:ccccclllloooooooooooooooooooooooooooooolllllllllllllllll
ll,..............................        ................',;;::cccllloooolllllccc::;;,''''''.''''''....................................',;;;,;colllc::;;,,;;;:::::::::;;;;;,,'..........''',,;;;;::::::::::;;;,,,''''''''''....................':loooooooooooodddoooooooooooooooooooooooooolllllllllllllllll
ll,...............................        .............'',;::ccclllloooooooooollccc::;,,,,,,,,,,,,,,'''...............................',;;;;;:clllcc:;;;,',;;:::::::::::;;;,,''.',,;;;;;;;;;;;;;,,,,,,''''''''''',,,;;;;;::'....................':looooooooooooooooooooooooooooooooolooooooollllllllllllllll
ll,................................       ............',,;;:ccclloooooooooooooolllccc:;;;,,;;,,,,;;;;;,''............................',;;;;,,;ccccc::;;;,'';:::::::::::::;;,,,'''''',,''''''''''''',,,,,;;:::::ccccccccccc;'.....................':loooooooooooooooooooooooooooooooooollooooooooollllllccccc
ll,.................................        .........',,;;:ccllllooooooooooooooooolllcc::;;;,,,,;;;;;;;,,,''........................',;::::;,;:cc:::;;;;,';cc::::::::::::;;;,,''..'',,,,,,,;;;:::::::::cccccccccccccccccc:'.......................':lllloooooooooooooooooooooooooooooollloooollllllccccccccc
ll,.................................        ........',,;;::cclllllolllollloooooooooollcc::;;:;;,,,;;;;;;;,,''......................',;:::::;,;::::;;;;;;;;:::::::::::::::;;;,,,'',;:::::::::::::::::::::ccccccccccccccc:c;.........................':lllllooooooooollllloooolllllooooollllllllllllccccccc:::
ll,..................................     .........',,;;;::cclllllllllllllloooooooooolllccc:cc:;;,,,,;;;;;;,,''....................',;::::;,,,;:::;;;;;;;;::;;:::::::::::;;;;,,''';:ccccccc:::ccccccccccccccccccccccccc:;'..........................':llllllloooooolllllloolllllllllolllllllllccllcccccccccc
ll,..................   ..........................',,;;;:::ccccccccccccllllllllloooooolllllccc:c::;,,,,,;;;,;,,''............''''''',;::::;,,,;;:;;;;;;;;;;;,;::::::::::::;;;,,''',:ccccccccccc:cc::::ccccccccc:ccccccc:,...................   ......':ccllllllooolllllllllllllllllllllllllllccccccccccccccc
ll,..................     ......................''',,,;;::::::::::::::::ccccllllllloolllllllccccc::;;,'',,''',''''''''.''''',,,,,,,,,,;::::;,,,;;;;;;;;;::::ccc:::::::::::;;;,,''',:ccccccccccccc:::::cccccccc::cccc:::;................ ....   ......';ccllllllllllllllllllllccclllllllllllllccccccccccllc:
ll,..................      .....................''',,,,,,,,,,,,,,,,,;;;;;;:::ccccclllllcccccccccc:::;;,,''..'''''''''''',,,,,,,,;;,,,,,;:::;;,,;;;;;;;;::cok0koccc::::::::;;;,,''',;:c::cccccc:c:::::::cccc::::::cc:::;'.........          ............';cccccclllcccccllcccc:,',;;:::cccccccccccccccccclc;'
ll;..................       ......................''''..'''''......''''''',,,;;;;;:::::::::::::::::;;;;,,,''''''''.'''',,,,;;;;;;;;,,,,;;;;;;;;;;;;;;;:::lxKNOolccc::::::;;;;,,,''',::::::ccc:::::::::::::::::::::::::,.................................';::ccccccccccccccc:;'......'',;:::ccccccccccccc:,'.
ol,...............            ..........................'.........''''''''''''',,,;;;;;;:::::::::::::::;;;;,,,,,,'''''''',,,;;;;;;;,,,,,;;;;;;;;;;;;;;::::lxkdc:cc:::::::;;;;,,''.';::::::ccc::::::::::::::::::::::::;'.................',................;:::ccccccccccc::;............'',;:::ccccc:c::,..'
oo;.............               ................''''''........'''''',,,,,,,,,,,,,'',,,,;;:::::cccccccccccc:::::::;;;;,,,''',,,,;;;;;,,,,,,,;;;;;;;;;;;;::::codl:::::::::::;;;;,,''..';:::cc:::c:::::::::::::::::::::::,...........  ....';:;...............';:::c::::::c:::,..................',;::::::;'..,:
cl;............                .................'..........'',,,,,,,;;;;;;,,,;;,,,,'''',,,;;;::ccccccllccccccccccc::::;;;;,,,,,,;;,,,,,,,,,,;;;;;;,;;;;:::cloc;;::::::::::;;;,,''...'',;;::::::::::::::::::::::::;::;'.................;:::;...............';::::::::::::,......................,;;:;,'..,:c
:c,.........                   ....................''''',,,,,;;;;;;;;;;:;;,;;;;;;;,,,,'''',,,,,;;;::::cc:::::ccccc::::::::;;,,',,,,,,,'',,,,,;;;;,,;;;;;;;:lol:;::::::::::;;;,,'..',;;,''',,;:::::::::::::::::::;;;;'.................,:c:::;...............';::;:::::::,......................',;,,'..',:::
::,.........                   ................'''',,,,,;;;;;:::::::::::::;;;::;;;;;;,,,,,,,'',,,,,;;;;::;;;;;;;:;;::c::::;;;,''',,,,,'',,,,,,;;;,,;;;;;;,;cc;;;:;;;::;;;;;;,,'''.',::::;,,''',;;::::::::::::::;;;;,.................';:ccccc;...............';;;;;;;;;,......... .............,,,'....,;;::
l:'.............               ............'''',,,;;;;;::::::cc::ccccccc:cccc:::::::;;;;;;,,,,,,,,,,,,;;,,,,,,,;,,,;:::::;;;;,''.''',,'',,,,,,,,,,,,,,,,,,:c;,;;;;;;;;;;;;;,,,''..';:::::::;;,,''',;;;:;:::::::;;;,'................';::::ccc:;...............',,;;;;;'..........  ...........',,'....,,;;;;
oc,.............             ...........''',,,,;;;:::::cccccccccccccccccccccccc:::::::::;;;;;;;;,,,,,,,,,,,,,,,,,,,,;;;;;;;;;,,'....'''','',,,,,,,,,,,,,,,c:,,;;;;;;;;;;;,,,,'''..';:::::::;;;::;,,'.'',;;;;;;;;;;,.................,;;;;::cc::;................',,;,'...........  ..........''......',,,,;;
dl;.............             ..........',,,;;;;:::cccccccccclllllllllllllllcccccc::::::::::::::;;;;;,,,,,,,,,,,'''',,,;;;;;,,,,,'...''''''''',,,,,,,,,,,',;,';,,;;;;;;;;,,,,,''...,;::;:::::::::::;;;,''''',,;;;;;,'...............';;;;::cc::::,................',,'............  ........',,'....'',,,,,,,
ol;.........                ........''',,;;;::::ccclllllllllllllllllllllllllllcccc:::::::::::::::::;;;,,,,,,,,,''',,,,,,,,,,,,,,''....'''''''''''''''''',;,'',,,,,,,,,,,,,,,'''...,;::;;:::::::::;:::;;;,''''',,,;;;,,,............,;;;;;::::::;,'................'..  ...................',,.....'',,,,,,,,
ol;.........               ........''',,;;;:::ccccllllllllloooooooollllllllllllcccc:::::::::ccc:::::;;;;;,,,,,,''',,,,,,,,,,,,,''''....''''''','''''''..',,,,,,,,,,,,,,,,,''''....,;::;;::::::::::::;;;;;;,,,,'..'',,;;,,,'.......';;;;;;;;:::;;;,'.................  ..................',,,.....''',,''''',
ll,..........              ......''',,,,;;:::cccllllllllooooooooooooooollllllllccccc:::::::cccccc:::::;;;;;,,,,,'''',,,,,,,,,,,''''''.....''''''''.......'',,,,,,,,,,,,,,'''......,;;;;::::::::::::;;;;;;;;;;:;;,'...'',,,,,,,''.',;;;:;;;:::::;;;,.............     ......   .........',,'....',,,,,,''''''
ol,..........            .......'',,,,,;;;::cccclllooooooooooooooooooollllllllllcccc::::cccccccc:::::::;;;;,,,,,,''''',,,,,,,,,,''''''.....''''''........'',,,,,,,,,,,,''''.......',;;;;:;::::::;;;;;:::::;;;:::::;,,'..''',,;;;,,;;;;;;;:::::::;;;,.................................',,,'....',,;;,,,,,,''.
ol,..........           .......'''',,,;;;::::cclllloooooooooooooooolllllllllllllcccc::::::::::::c:::::::;;;;,,,,,'''''''',,,,,,,,'''''''......''.........''',,,''''''''''''........',,,;;;;;::::;;;;;;;;;;;;;;;::::;;;,,'..'',,,,,;;;;;;;;;;::::;;;;,................  .............',,,'...',,,,,;,,;;;,,..
ol,...........          .......''',,,;;;::::ccllllooooooooooooooooollllllllllcccc:::::::::::::::::::::::::;;,,,,'''''''''',,,,,,'''''''''...............'''',,,'''''''''.............',;;;;;;::::::;;;;;;;;;;;;;;;;;;;;;;;,''''..'',;;;;;;;;;:::;;;;,'.............................',,'....',,',,,;,,,;,'...
ol,............       ........''',,,;;;;::::cclllloooooooooooooooollllllccccccccc::::::::::;::::::::::::::;;;,,,'''''''''',,,,,''''''''''''...........'''''''''''''''''.........',''...',,,;;;::cc::;;;;;;;;;;;;;;;;;;;;;;;;;,,,'....',;;;;;;::::;;;;,'....................   .....''.....'',,,,,,,,,,''....
ll,............      .........''',,,,;;;:::ccclllllllllooooooolllllllllccccccc:cc::::;;;;;;;;;;;;;;::::::;;;,,,,'''''''''',,,,,''''''''''''''........''''''''''''''''..........',,,,'.....',,;;:::::;;;;;;;;;;;;;:;;;;;;;;;;;;;;;,,'''..',,;;;;:;;;;,,,'...................  ............',,',,,'',,''......
ol,...........       ........'''',,,;;;;::::cccclllllllllllllllllccccccccc:::::::::;;;;;,,,,,,,;;;;;:::::;;;,,,,'''''''''',,,,,,,,,''''''''''..........'''''''''''''..........''',,,''''....',,;;;;;;;;;;;;;;;;;;::::::::::::::;;;;;;;,,'''',,;;;;;;,,,,...........   ...... ..........'',,,,,,'''''.......'
ol,...........       ........'''',,,;;;::::cccccclllllcccllllccccc::c::::::::::::;;;;;;,,,,'',,,,,;;:::::;;;,,,'''''''''''',,,,,,,,''''''''...........''''''''''..............''''''''''''.....,,,,;;;;;;;;;;;;;;;;;;::::::::::;;;;;;;;;,,,''''',,,;;;,,,'.......  ..    .  ...........'''',,,''''........',
ol,..........       .........'''',,,;;;::::cccccccccccccccccc:::::;;;;;;;;;;;;;;;;;;,,,,,'''''',,,,;::::;;,,,,''''''''''''',,,,,,,'''''''''.............'''''''...............''''''''''''''.....'',,,;;;;;;;;;;;;;;;;::::::::::::;;;;;;;;;;,,,''.''',,,,,''..........  .. ...'......''''',,,,'''.......',,,
ol,..........      ..........'''',,,;;;:::::::::ccccccc::::::;;;;;,,;;,,,,,,,,,,,,,,,,,,,''...'',,,;;;;;;,,,,,''''''''''''',,,,,,''''''''''.............'''.................''''''''''''''',,''.....',,,,,,,;;;;;;;;;;;::::::::::::;;;;;;,,,,,,;;,,'....'',,,,''.....   .....'......',,'',,,,''.........'',,
ol,..........      ...........''',,,,;;;;;:::::::::::::::;;;;;;;;,,,,,,,,,,,,,,,,,,,,,,,,''...'',,,;;;;;;,,,''''.....'''''''',,'''''''''''.................................''''''.''''''''''''''.........''',,,,,;;;,,;;:::::;;::;;;;;;;,,,,,,,,,;;,,,''....''',,,''.......''......''''',,,,''.......'''''''
oo,............   ............''',,,,,,;;;;;;:::;:::;;;;;;;;;,,,,,,,,,,,,,,,,,,,',,,,,,,''.....''',,;;;,,,'''........'''''''''''''''''''''.....................................'''''''''''....'''..............''',,,,,;;;;;;;;:;;;;;;;;;,,,,,,,,,,,,,,,,,'.....''',,''..'''.....'''''',,'''........''''''''
oo,...........................''',,,,,,,,;;;;;;;;;;;;;;;;;,,,,,,,,,,,,,,,,,,,,,,,,,'''''''.....''',,;;,,'''...........''''''''''''''''''''............................ ..........''''''''''..........................'',,,,;;;;;;;;;;;,,,,,,,,,,,,,,,,,,,,,,'''......'',,''.....'''''''',''.......',,'''''''
oo,...........................'''',,,,,,,,,,,,,,;,,,,,,,,,,,,,,,,,,,,,,;;;;;,,,,,,,,''''''......'''',,'''..............'''''''''''''''''''..............................   .........''''''''..........'''''''',,'............'',,,,,,,,,,,,,,,,,,,,''',,,,,,,,,,,''.............'''''''''........',,,,,,,,''
ll,............................''',,',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,;;;,,,,,,,,,,'''''........'''...................''''''''''''''''.................................    ........''''''''....  .....''',,,,,,,''''''''...........''''''','''''''''',,',,,,,,,,,''.........''''''''''........''''''''''''
lo,.............................''''''''''''''''''''''''',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,'''...............................''''''''''''''..................................    ..   .........''.....  . .....''',,,,'''',,,,,,,,'''...............'''''''',,''''','''''''.....''''''''''........''''''''''''''
oo;..............................''''''''''''''.''''''''''',,,,,,,,,,,;,,,,,;;;;;;,,,,,,''..................................'''''''''''...............................     .....     ......................'',,,,,,,,,,,,,,,,,,,,,,,'''.................''''''''''''''''''''''''''''.........'''''''''''''''
oo;...............................''..'..........''''''''',,,,,,,,;;;;;;;;;;;;;;;;;;,,,,'''..................................''......................................        ....        ...............'''''',,,,,,,,,;;;,,,,,,''',,,'''''''...................''''''''''''''''''..... ....''''''''''''''''
ol;................................................''''',,,,,,,;;;;;;;:;;;;::::;;;;;;,,,,,''.........................................................................          .           .............'''''''',,,,;;;;;;;;;,,,,',,,''''''''''''''......................'''''''''.........''''''''''''.....
ol;.................................................''',,,,,,;;;;;;;;;;::::::::::::;;;;;,,,'........................................................................                      ...   .........'''''',,,,,,,,,;;;;;,,,,,,,,,''''''''''''''''''''''.......................  .......'''''...........
l:,................ ...............................'''',,,,,,;;;;;:;;:::::::::::cc::::;;;,,,'.......................................................................    ...              .....      ......''''',,,,,,,,,,,,,,,,,,,,,,,,,''''''''''''''''',,,,'''.................. ..........'''''..........
:,'............     ..............................''''',,,;;;;;:::::::cccccccccccccc:::;;;;,,'......................................................................             .        ....          ....'''',,,,,,,,,,,,,,,,,,,,,,,,,,,,,'''''''''''',,,,,''..............................''''......... 
...........       ................................'',,,,;;;:::::cccccclllllllllllllcc::::;;;,,'.....................................................................            ......                     ....''''''''''''''',,'''',,,,,,,,''''''''''''',,,,,'''''..............................''....     
  ......         ................................''',,,,;:::::cccclllllllllooolllllllccc::;;;;,'....................................................................             ........                    ....''''''''''''''''''''',,,,,'''''''''''''',,,,,,''''..................'............'....