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......................................................................................................................................................'..........';::cll:.........';clodd:'....,,,;;;,,,,''..........';:llclooollc:....'',,;;;;;;;;:::::::::;;;;,,,,''''''..............;lllllllllllooooooodddddddxxxxxxxxxxxxxxxxxxxxkkkkkkkkkkkkkkkOOkkOOkOOOOOOOOOOOOOOO00OOOOOO00O00000000000000000000000K00000000KK0000000000000000OOOOOOOOOOOOOOOOOOOO0000OkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkOOOO000000KKKKXXKKKKKK00000OOOkkkkxxxxddddddddoooolccccc:;;;:clllloooddddxxxkkkkOOOOkkOOOOOkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkxkxxxxxxxxxdodddoooooolllcccc::::,...........................................................................   .......................................................................................            .   ............................,:,..........................'.................. .    ........   ................ ...... ......  ................. ..        ............ .
................................................................................................................................................................';::cccc;..........'cddc;...',;;::::;;;;;;,''...... ..';clllooooolc,....',,,;;;:;;;;:::::::::;;;,,,,,,''''''............,ccllllllllooooooodddddddddxxxxxxxxxxxxxxkkkkxkkkkkkkkkkkkkkkkkkkkOkOOOOOOOOOOOOOOOOOOO0000000000000000000000000000000000000000000000000OOO000OOOOOOOOOOOOOOOOOOOOOO0000OkkkkkkkkkkkkkkkkkkkkOOkkkkkkkkkkkkkkkkkOOOOO00000KKKKKKK0000OOOkkkkkxxxxxxddddddddooolllccccc;,,;clllloooodddxxxkkkOOOOOOOOOOOOkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkxxxxxxxxxxddddddddoooolllcccc::::,.................................................................. ........   .......................................................................................         ................................................................................... ..  .... .......  ....... .................. .. .... .......... .....   ..  ..............
..............................................................................................................................................................',,;:clc:;,...........:oo:'. .';;:c:::;;;;;;,''......  ..':ccllllooll:,....,,,;,;;;;;;::::::::::;;,,,,,,''''.''...........';:llllllllooooooodddddxdddxxxxxxxxxxxxxxxkkkkkxxkkkkkkkOkkkOOkOOOOOOOOkkOOOOOOOOOOO000000000000000000000000000000000000000K00000000000OOOOO0OOOOOOOOOOOOOOOOOkkkOOOO0OOkxxkkkkkkOOOkkkkkkkkOOkkkkkkkkkkkkkkkkkkkkOOOOOOOO0KKK000000OOkkkkkxxxxxxxxddddddodooollllcccc;,,;:clllooooodddxxkkkkOOOOOOOOOkkkkOOkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkxxxxxxxxxxxddddddddoooooolllllcc::::,............................................................. .......''...   ........................................................................................     ...........................................'.............................................. ....  ....................................     ..  ......... ..........  ........   ...
..............................................................................................................................................................,;;:cllc::,'..........;ll:'...',;ccc:::;;;;;,''...... ....:cclllllllc:;'...',,;;;;;;;;:::::cc::::;;;,,,'''''''.............';clllllllooooooooddddxxddxxxxxxxxxxxxxxxxxkkkkxkkkkkkkkkkOOOOOOOOOOOOkOOOOOOOO0OOOO00000000000000000000000000000000000000000000000000OOOOOOOOOOOOOOOOOOOOOOOkkkOO000OkkxkkkkkOOOkkkkkkkOOOOkkkkkkkkkkkkkkkkkkkkkOOOOOOOOO000OOOOOOOkkkkkkxxxxxxxddddddooooooolllcccc:,',:ccllooodddddxxxkkkOOOOOOOOOkOOOOkkkkkkOkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkxkxxxxxxxxddddddddoooooolllllccc:::,....................................................................'''...    ..........................................................................................................................................................................      . .........  ..  ........... ........ .... ...   ...   ............ ...  ..... ..........   . 
.............................................................................................................................................................',;;clcc:;,',;'........';cl:'....';:::::;;;,,''......  ....,;:lloooollcc;. ..,,,,;;;;;;:::::cc:::::;;,,,,'''''...............,cclllllllloooooodddddddxxxxxxxxxxxxxxxxxkkkkkkkkkkkkkkkkkkkkkkkOOOOOOOOOOOOOO0OOOO0000000OOOO00000000000000000000000000000000000OO000OOOOOOOOOOOOOOOOOOkOOOkkOO000OkkkkkkkkOOOOOkkkkOOOkkkkkkkkxxkkkkxxkkkkkkkkkOOOOOOOOOOOOOOOOkkkxxxxxxxdddddddddoooollloolllcccc:;'';clollooddddxxxxkkOOOOOOOOOOOOOOOOOOOkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkxkkxxxxxxxddddddddooooolllllccc::::'....................................................................'.....  ........................................................................................................................................................................  .            .....         .................  ..............  .......        ..   ...   ...   ........
...........................................................................................................................................................'',;:ccc::;..'cl;.........':od:......',;;;,''''.......  .....',;clooddolll:. ..',,;;;;;;::;::::::::::;;,,,'''''''..............':cllllllllloooooddddddddxxxxkxxxkkxxxxkkkkkkkkkkkkkkkkkkkkkkkkOOOOOOOOkOOOO00OOO00000000OOOOO0000000000000O0000000K000000000000OOO0000OOOOOOOOOOOOOOOOOOOOkkOOO00OkkkkkkOOOOOOOOOkkOOOkOkkOkxxxxxxxxxxxkkkkkkkkkkkOOOOOOOOOOOkkkkkkxxxxxxddddddddooooolllooolccllccc:;,,;cdollodddxxxxxkkOOOOOOOOOOOOOOOOOOOkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkxxxxxxxddddddodddoooollllllcc:::::'...................................................................'..............................................................................................................................................................................  ...             .....        . ......................   ...............     .........         ......',,,
..........................................................................................................................................................',,,:ccc::;,..,cl;.........';oxl;'......''''..........  .......,;clllooolcc:'....',,;;;;;;;:;;;:;:::;;;;;,,''''''''.............';clllllllllooooodddddddddxxxxxxkkxxxxxxkkkkkkkkkkkkkkkkOkkkkOOOOkOOOOOOOOOOOOOOOOO000000000000000O0000000000000000KK0000000000000000OOOOOOOOOOOOOOkOOOkkkOkOOOOOOkkkkOOOOOOkOOOkkOOOkkkkkkxxdddddddxxkkkkkkkkkkkkkOOOOOOOOOOkkkkkxxxxxxxddddxdddooooollllooolllllccc::,,,coolclodxxxkkkkkOOOOOOOOOOOOOOOOOOOOkkkOOkkkkkkkkkkkkkkkkkkkkkkkxkkkxxxxxxxxxxddddoodooooollllllcccc;;;'..................................................................''.... .......................................................................................................................................................................... .                 ...    .. ............  .... .......  ........................ ...        .....''',,,,
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................................................................  ........................................................................................',;:c::;;,'.,:::::,.........';coxxdl;...........',;cc:,'........':ccclollccc:,....'',;;;;;;;;;;::::;;;;;,,,,,''''................,:llllllllllloooooodddddddxxxxxxxxxxxkxxkkkkkkkkkkkkkkkkkkOOOOOOOOOOOOOOOOOOOOOOOOO000000000000000000000000000000KKK00000000000000OOOOOOOOOOOOOOOOOOOkkkkkkOO00OkkkkkkOOOOOOOkkkxxxddo:;;,'..........'';:coddxxkxkkkkkkkkkkkkkkkkxxxxxxdddddddooolllllloooooooooollllc:;,:ool::codxxxkkkkkOOOOOOOOOOOOOOOOOOOOOOOkkkkkkkkkkkkkkkkkkkkkkkkxxkxxxxxxxxxddddddoooooooooollllcc::::;'.................................... ...........................'''........................................................................................................................................................................... .                ....            .....  ... ......................  ................. .........''',,,,,,,,,,,
...............................................................  ........................................................................................',;:::;;''...;::;:;,'.........,;codxxdocc;;:ccc:clllllc;,'........,::clooolcc::'.....,;;;;;;;;;;;;::;;;,;,,,,''''''...............';clllllllllloooooooddddddxxxxxxxxxxxkxxxkkkkkkkkkkkkkkkOkkOOOOOOOOOOOOOOOOOOOOOOOO000000000000000000000000000000KKK000000000000O00OOOOOOOOOOOOOOOOkkkOkkOOOOOOOkkkkkkOOkkkkOkkxxddlc:,,'.................,;cloxxxkkkkkkkkkkkkxxxxxxxdddddddoooolllllllllooooooddooollc;,cdoc::cooxxxkkkkkOO0OOOOOOOOOOOOOOOOOOOkkkkkkkkkkkkkkkkkkkkkkkkkxxxxxxxxxxxdddddddoooooooooolllccc:::::'.................................... ..........................''...........................................................................................................................................................................    ..              .....  ...       ........    .....  ............    .. ....        .......'',,,,,,,,,,,,,,,,
........................................................... ... ........................................................................................',,::::;,'...'::::;;,,.........',:clodddoooooddolollcccc:,'........';:clooollc::,.....,;;;,;;;;;;;;;;;;,,,,,,,'','''...............',cllllllllllooooooddddddddxxxxxxxxxxkxxkkkkkkkkkkkkkkkkOOOOOOOOOOkOOOOOOOOOOOOOOOO0000000000000000000000000KK0000K0000000000000OOOOOOOOOOOOOOOOOOOOkkkkkkOOOOOOkkkkkkOkkkkkkkxxdooc:;;,,'...............';:::codxxkkkkkkkkkkxxxxxxddddddddoolcc:;::cclllooooddoooooooc:;ldoc::cloxxkkkkkkOOOOOOOOOOOOOOOOOOOOOOkOkkkkOOkkkkkkkkkkkkkkkkkxxxxxxxxxxdddddddoooooooolllllcccc::::;'................................................................'................................................................................................................................'''......................................                       ....  ..             ....  ...........   ...       ....        ......',''',,,,,,''',,,,,,,,
.......................................................................................................................................................',;::::;,,...,;:::;,,,;,'........',:cloooooolllllclllcccc:;,.........';cclllllc::;.....,;;;,;;;;;;;;;;,,,,,,,,,''''..................,:llllllllloolooooddddddxxxxxxxxxxxxxxxkkxxkkkkkkkkkkkkkOOOOOOOOOOOOOOOOOOOOOOOOOOO0OO00000O0000000000000000000000KK00000000000OOO0OOOOOOOOOOOOkOOOOkkkkOkkkkkkkxkkkkkkkkkkkxxddollcc::;,''''.''''''',;:clllcllodxxkkkkkkkkkxxxxxxddddolc:,'''''.'',;:ccooooooooooollllooolccclodxxkkkOkOOOOOOOOOOOOOOOOOOOOOOOOkkkkkkkkkkkkkkkkkkkkkkxkxxxxxxddddddoddddooooooooollcccccc::;;,...............................................................'...................................................................................................................................'''...........'.......................   .                    ......             .   .....................   .. ......   .......''',,,,,,,,,,,,,,,,,,,,,,,
......................................................................................................................................................',::c::;,''..,:;;::;,,;:;;'........',;cllcllccllcc::cccccc:;,''........,::cllllc:::,....',;;;;;;;;;;;;,,,,,,,'','''...................':clllllllloolloooddddddddxxxxxxxxxxxxxkkxkkkkkkkkkkkOkkOOkOOOOOOOOOOOOOOOOOOOOOOOO0000000OO000000000000000KK00000K000000000O0OOOO0OOOOOOOOOOOOOOkkkkkkkkkkkkkkxxxkkkkkkkkkkxdddoooollcc:;,'''',,,,::cooodoooooodxxxxxxxxxxxxxxdddddlc;'.....'''...'',;:llloooooolloooooc::ccclodxkkOOOOOOO0000OOOOOOOOOOOOOOOOOOOkkkkkkkkkkkkkkkkkkkkxxxxxxxxdddddddoooooooooolooolccccc::::;,. ................................................... ........''...................................................................................................................................''''''.''...........................     ..   ...              . ...   ...    .......... ..................   ..... ......''''',,,,,,',,,,,,,,,,,,,,,,,,,,
.....................................................................................................................................................',;:cc:,,''.',;;,;:;,,,;:::,. .......',clcccccllllc;::::ccc::;,'.........,;cllllc::c;'. .',,;;;;;;;;;;,,,,,,,'''''''..'..'..............;cloolllllllooooodoodddddddxxxxxkxxxkkkxxkkkkkkkkkkOkkkOOOOOOOkOOOOOOOOOOOOOOOOOOO00000O00000000000000000000000000000000000O00O0OOOOOOOOOOOOOOOOkkkkkkkkkkkkkkxxkkkkkkkkkkkxddddddddooolcc;;;;;;;:loodddddddddddxxxxxxxxxxxdddddolc;'.......',:ccc;;;;:llllloooooooooc:;,;:ccoodkkkOOOOOO00000OOOOOOOOOOOOOOOOOOOOOOOkkkkkkkkkkkkkkkxxxxxxddddddddddoooooooooolloolccccc:::;;'. ................................................. .........'''..........................................................................................................................................''..''''....................      ..    ..                 .           .........  ............  ..      ........'',,,,,,,,,,,,,,,,,,,,,,,,,,,,;,,,,
................................................................................................................................ ....................',;:c:;,'...,:;,,;;,'',:ccc;.........',;::clcccllcc:::c:::c::;;,.........',cclllc:::;,....,,;;;;,;;;;;,,;,,,,'''''''''''................;cllllllllllooooooooddddddddxxxxxxxxkkkkkkkOOkkkkkkkOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO0000000000000000000000000000000000000000000000OOOOOOOOOOOkkkOOOOkkkkxxxxkxxxxkxxxkkkkkkkkxxxxxdxxddddddoooollllodddxxxxxxxxxddxxxxxxxxxxxdddooc;'.........'';cokkxdooooolllooooollc;,,,,:clddxkkOOOOOO000OOOOOOOOOOOOOOOOOOOkkOOOOkkkkkkkkkkkkkkkkkxxxxxxxxddddddddoooooollllllllcccccc::;,'. ................................................... .......','..................................................................................................................................''''........''''..................                      .     ...      .      ... ......  .................    .......'',,,'',,,,,,,,,,,,,,,,,,,,,,,,,;,,,,
...................................................................................................................................................',,;::;;,'..',;;,',;;,,,;cccc:'.........',;;ccc:::cccc::::::::;;:;'.........,;::clcc::;;'....';;;;;;,,;;,,,,,,''''''''''..................;cclllllllllllooooooodddddddddxxxxxxxxxkkkkkkkkkkkkkkOOOOOOOOOOOOOOOOOOOOOOOOOOOOO0000000000000000000000000000KK0000000000000000OOOOOOOOOOOkkkkOOOkkkkkkkkxxxxxkxxxkkkkkkkkkxkkkkkkxxxxxxxxxxddddxxxxxxxxxxxxxxxxxxxxxddddddooc:;'.........',,;;codddddooollllllllcc:,,,;;cloxxxkkOOO000000OO00OOOOOOOOOOOOOOOOOOkkkkkkkkkkkkkkkkkxxkkxxxxxxxdddddooooooooooooolllcccc::::;,,.............................................................''.....................................................................................................................................''''....'''''...''............                               ...      ..  ....  ... ...  ........    ...........''',,,,,,,''',,,,,,,,,,,,,,,,,,,,,,,,,,,,,
................................................................................................................................................''',;;;:;,,'...,;;,,;;;,,;;:ccccc,'.........,;;::::::;;:::;,;:c:;;;;;'.........';;:clc:::;;'.....,;;;;;,,;;,''',,'',''''''...................;clllllllllllllllododddddddddddxxxxxxxxxkkkkkkkkkkkkkkkkkkkkkOOOOOOOOOOOOOOOOOOOOOO00000000000000000000000000K000000000000000000OOOOOOOOOOOkkkkOOOOkkkkkxxxxxxxxxxxxxkkkkkOkkkkOOOOOOOOOkkxkxxxxxxkkkkkkkkkxxxxxxxxxxxdddddool:;;;;,,,''.'',::cllodddoooooooooolllll:,,;:coodxkkOOOO00000000000OOOOOOOOOOOOOOOOOOkkkkkkkkkkkkkkkkkxxxkxxxxxxxddddooooooollloollllcccc::::::,..................................................  .........,,.................................................................................................'...........................................''''''..''........     .                            .          ........  ..  .........   ...  ......''',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,
..............................................................................................................................................''''',;;::;,'...',,,,;::,,,;:::cccc;'.........,;;:::::::;:::;;;:::;;;;;,'.........,:ccc::::;;,'....,::;,,,,;,,'',,,'''''.......................;cclllllllllllllooooodddddddxxxxxxxxxxxxxxkkkkkkkkkkkkkkOOOkkOOOOOOOOOOOOOOOOOOOOOOOO00000000000000000000000000000000000000000000OOOOOOOOOOOkOOkkOOkxkkxxxkkkxxxxxxxxxxkkkkkkkOO0000OOOOOkkxkkkkkkkkkkkkkkkxxxxxxxxxxxddddoolc:::cc:::;;;,;:lloodxkkkxxddddddddooolc;;::clodxkkOOOO0000000000000OOOOOOOOOOOOOOOOOOOOkkkkkkkkkkkkkkkkkkxxxxxxxdddddoooooooloooollllccc:::::;'.................................................   .........'..................................................................................................''......................................'''''''..............                                  ..           ..............  ........  .......'''''',',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,
..............................................................................................................................................'''',;::::,'....,,,,,;;;,',;;::cccc:;'........',,;;:::::::::;;;;;;;;;;;,'.........',;:::::;;;;,'. .',,,,,,,,,,'''''''''........................,:cllllllllllloooooooooddddddddxxxxxxxxxxxxkkkkkkkkkkkOOkOOOOOOOOOOOOOOOOOOOOOOOOOOOOO00000000000000000000000KK00000000000O000OOOOOOOOOOOOOOOOOkOOOkkkkkkkkkxxxxxxxxxxxxxkkkkkkOOOOOOOkkkkkkkkkkkkxxxkkkkkkkkxxxxxxxxxdddoolllllllllllcccccloddxxkkkkkkxxxxddddolc;;;:clooxxkkkOOO0000000000000OOOOOOOOOOOOOOOOOOkOOkkkkkkkkkkkkxkkxxxxxxxxxddddoooooooooooooollcccccc::;;;..................................................  .................................................................................................................................................................     ....                                               .........        ... ........'''',,''',,',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,
....................... ....................................................................................................................'''',,;::::,....'''.';;;;;,,;;;::c:::::,.........',;::;;;;;;;;;;;;;,,,;;;,,'.........',;:::::;;;,,. ..'',,,,,,'''''''''..........................';clllllllllllloooooooododdddddxxxxxxxxxxxxkkkkkkkkkkkkkOOOkkkOOOOOOOOOOOOOOOOOOO00OO0000000000000000000000000000000000000OOOOOOOOOOOOOOOOOOOkkOOOkkkkkkkkkkkkxxxxxxkkxxxxkkkkkkkkOkkkkkkkkkkxxxxxxxxxkkkkkkkkkkxxxxxxddooooooooollooooollllodxxxxxxxkkkxxxdddoc:;;:cloodxkkkOOO0O00000000000000000OOOOOOOOOOOOOOkkkkkkOkkkkxxxxxkxxxxxxxdddddddddooooooooooolllccccc::;;:,.  ..............................................   .','''......................................................................................................................................................          ...                                                   ......         .......'''''''',,,'',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,;,,,,,,,,,
............................................................................................................................................'''',;:cc;,'...',,'',;:::;,;;;::cc::::c;..........';;;;;;;;;;;;,;;;,,;;;;,''..........',;;::;;;,,'....'',,,,,,'''''''''..........................'::llllllllooollooooooodoodddddxdxxxxxxxxxxkkkkkkkkkOkkkOOOkkOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO0O0000000000000000000000000000OOOOOOOOOOOOOOOOOOOOOOOOkkkkkkkkkkkkkxxxxxkkkxxxkkkkkkkkkkkkkkkxxxxkkxxxkkkkkkkkkkkkkkkkkxxxdddooodoooollooooollllooddxxxxxxkxxddoool:;;:cldxxxkOOOO000000K0000000000O000OOOOOOOOOOOOOOOkkkkkkkkkkkxxxxxxxxxxxddddddddddoooollooooolllccc::::;;;'.  .............................................. ...;:;,'........................................................................................................'.........................................        .                                              ..   ..          ..     .......''''''''',,,,,,,',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,
.............................................................................................................................................'',;;:c:,.....,;,',,;;::;;;;;::cc:::cl:'.........',;;;;;;;;,;,,,,,,;;;;,,''...........,;;;;,,,,,,.....',,,''''''''..............................';:lllllllloooolooooooooooooodddddxxxxxxxxxkkkkkOkkkOOkkOOkkkOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO00000000000000000000000000OOOOOOOOOOOOOkkOOOOOOOOOkkkkkkkkkkkkkkkkkkkkkkkkxxxxxxkkkkxxkkkxxxxxkkkxkkkkkkkxxkkkkxkkkkxxxxxddddddoooolooooolllllooodxxxxxxdddollc:;::lodxkkkOO0OOO000000000000000O0000OOOOOOOOOOOOOOOOkkkkkkkkkkkkxxxxxxxxxddddddddddooooolloolllccccc:::::;;'. ............................................... ..'cl:;,''......................................................................................................'....................................                                   ....                    ...   ...          .    ......'''''''''''''''',,,,,,,,,,,,,,,,,,,,,,,,;,,,,,,,;,,,,,,,,,,,,,,,
............................................................................................................................................',;;;::;'.....',,,,;,,;;:;;:;;::c::::clc,..........',,;;;,,,;,,,,,,,,,,,,,,'...........',,,,,,,,,,'.....''''''''''................................,:llllllllooooollooooooooooooddddddxxxxxxkkkkkkkkkkkkOOOkkkOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO00OO000000000000000000000000OOOOOOOOOOOOOOOOOOOOOOOOOkkkkkkkkkkkkkkkkkkkkxkkkxxxxxxkkkkkkkkkkkxxkkkkkkkxkkkkkkkkkkxxkkkkxxxxxxxddddddoooooooollllloooddddddoollccccclodxxxxkkkOOOOOOOOOO000000000000000OOOOOOOOOOOOOOkkkkkkkkkkkkkxxxxxxxxxdddddddddddooooooolllllcccc:::;;;,..................................................   .'clc;,'.......................................................................................................'................................                                   ..                                               .....''''''''''''',,'',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,;,,,,,,,,,,,,
..........................................................................................................................................'',;:;::;'......,,'',,',;;;;::::::c:::cllc;,..........',,;;,'',,,',,,,,,,,,'''............',,,,,'''''......''.''.''.'...............................';llllllooooooolllooooooooooodddddddxxxxxxxxkkkkkkkkkkOkkkOkkkOOkkOOOOOOOOOOOOOOO0OOOOOOOOOO0OOO00000O00000000000000000O00OOOOOOOOOOOOOOOOOOOOOOOOOkkkkkkkkkkkkkkkkkkxxxxxkkxxxkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkxxxkkxxxxxxddooooooolllllooooooooolllccllodddxxxxkxxkkOkkkOOOOOO0000000000O000OOOOOOOOOOOOOkkkkkkkkkkkkkxxxxxxxxdddddddddddddoooooolllollllcc:::;,,'....................................'.............    .;c:;,'................. .....................................................................................'........................                         ..                ...                      ...               .  ....''''''''''','''',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,
..........................................................................................................................................',,;;;;;,......,,,''''';::::;;:ccc:::ccccc:,'. .......'',,,,'''''',,;,,,,''''''...........''''''''''.... ..''''......................................,clooloooooooooolooooloooooddddddddxxxxxxxxxxkkkkkkkkkkkkOkkOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO0OOO0OOO000000000000000000OOO00OOOOOOOOOOOOOOOOOOOOOkOOOkkkOkkkkkkkkkkkkkkkkkxxxxxxxxkkkkxxkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkxxkkkxxxxxxddddoooooloooooooolllllllllloodddddxxxxxkkkkkkkOOOOOO0O000000OOO0OOOOOOOOOOOOkkkkkkkkkkkkkkkkxxxxxxxxddddddddddooooooollllllcccccc::;,'.....................................'...............  ..,,;,'''............................. ............................................................................................ .                           .                 .... ..                   ..                ......'''''''''''''''',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,
..........................................................................................................................................,;;;,;;'......,;;,,,,,,;;;:;;::clc::cccc:::;,.........'''',,,,','',,,,,,,''''''............''''''',''... ..'''.......................................,cooloooooooooooooooooooooodddddddddxxxxxxxxxxkkkkkkkkkkkkkkkOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO00000000000000000OOOOOOOOOOOOOOkOOOOOOOOOOOOOkOOOOkkOOkkkkkkkkkkkkkkkkxxkkkkxxxkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkxxxxxddddddddoloolooolllllllooooooodddddxxxxxxkkkkxkkkkOOOOOOOO000OOOOOOOOOOOOOOOOOOOOOOkkkkkkkkkkxxxxxxxxxxxddddddoooodooolllcccccc::::;;'.. ...................................'.....................''''................ .........................................................................................................                                                . .                            ..         ......'''''''''''''',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,
........................................................................................................................................'',;;;:;'.......,;,,,'',;;;;;;::cccc::cccc::::;............'''''''''''''''''''.''..............'''''''.................................................'cooloooooooooooooooooooooddddddddddddxxxxxxxxxxxxkkkkkkkkkkkkOOOOOOOOOOOOOOOOOOOOOOOOOOOOO0OOOOOO0000000000000OO0OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkxxxxdddddoooooooolllllllooooooodxxxxxddxxxxkkkkxxxkkkOkOOOO000OOOOOOOOOOOOOOOOOOOkkkOOkkkkkkkxxxxxxxxxxdddddddoodoooollllllccccc:::;;,..  ...........................................................................    ..................................................................................................                                                  ....                              ...       .......'''''''''''''',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,
........................................................................................................................................';;;:;,'.......';;;;,'',;;,;;;:cccc:ccclc::::::'...........'''.'''''''....''''...................'''....................................................:lloooooooooooooooooooooooddddddddxddddxxxxxxxxxxxkkkkkkkkOOOOOOOOOOOOOOOOOOOOOOOOOOOOO0OOOOOOOOO000OO000000000OOOOOO0OOOOOOOOOOOOkkkOOOOOOOOOOOOOOkkkkkkkOOOOkkkkOkkkkkkkkkkkkkkkkkkkkkOkkOkkkkkOkkkkOOkOOkkkkkkOkkkkkkkkkkkkkxxxxdddddooooooooolllooooooooodddxxxxxxxxxxxkxxxxkkkkOOOOOOOO000OOOOOOOOOOOOOOOkOkkkkkkkkkxxxxxxxxxxdddddddooooooooollllcccc:c:::;,'.  ............................... ............................................    ............................................................................................                                                         ...                   ...    ..          ........''''''''''''''',,,,',,,,,,,,,,,,,,,,,,,,,;,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,
.......................................................................................................................................',;;;;,'........';;;,,',,;;;;;;:ccc:ccllcc:::::;'.............''......'...........................'......................................................:lloooooooooooooooooooodoooodddddddddddxxxxxxxxxxxkkkkkkkkOOOOOOOOOOOOOOOOOOOOOOOOOOOOO0OOOOOOOOOO00OOOO00OOOOOOOOO0OOOOOOOOOOOOOOOOOOOOOkOOOOOOOOOkkkkkkkkOOOkkkkOOOkkkkkOkkkkkkkkkkkkkOkkkOOOkkkOOOOOOOOkkkkkkkOkkOOOkkOkkkkkkxxxxdddddddddooooooooooooooodddddxxxxxxxxxxxxxkkkkkkOOOOOOOO000OOOOOOOOOOOOOOkkOOkkkkkkxxxxxxxxxxxxddddooooooooooolllllcccc:::;;;,................................... ............................................    ............................................................................................                                    .       .  .          . ..     .     ...   ..               .........'''''''''''''''',,,,',,,,,,',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,
...................................................................................................................................'...,;::;,.........',;;,''',:;;;;;:ccc::cllccc:::::;,'.............................'.........................................................................;llooooooooooodooooooooooooddddddddddddxxxxxxxxxxkxxxkkkkkkkkkkkOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOkkkOOOOOkkkkkkkkkkkkkkkkkkkOOOkkkkkkkkOOOkkkOOOkkkOkkkkOOOOOkkOOOOkOOkkkkkxxxxxxxddddddddddooooooooodoooddddddxxxxdxxxxxkkkxxkkkkOOOOO0OOOOOOOOOOOkkkOkkkOOkkkkkkkkkkxxxxxxxdddddooooooooooolccccccc:::;;;'.................................................................................    .............................................................................................                                                         .                     .            ...........''''''','''',,'',,,,,',,,''''',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,;;,,,,,,,,,
..................................................................................................................................''.',,::;,.........';;,,,''';;;,,;::cccc:cllc::::::;;;;'..  .............'......................................... ..........................................,clooooooooooddooddooooooodddddddddddddxxxdddxxxkxxxxkkkkkkkkOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO00OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOkOOOOOOOOkOOOkOOOOOkkOOOOOOOOOkkkkkOOkkkkkkkkkkkkkkkkkkkkkkkkkkkkOOOkkOOOkkOOOOOkkkxkkxxxxxxdddddodddooooooooooodddddddddxxdddxxxxxxxxxxkkkkOOOOOOOOOOOOOkkkkOkkkOOkkkkkkkkxxxxxxdddddxddoooooooooolllcccc:::::;;,.................................................................................     ..............................................................................................                          .  .       ..                           ..          .           .....'....'.'''''''','''',,,,,',,''''''',,,,,,,',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,;,,,,
..................................................................................................................................''.',;::,..........,;;,'''',,,,,,:cccccccclcc::::::::;;,.......................'',................................. ..........................................':cooooooooodddooddddooddddddddddddddddxxxxddxxxxxxxxkkkkkkkkkkkOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO0OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOkOOOOOOOOOOOkkkOOOOOOOkkOOOOOOOkkOOOOOOOkkOkkkkOkkkkkkkkkkOOkkkkkkkkkxxxkkkkkkkOOkkOOOOOOOOkOOOkxxxxxxxxxdxxxddddddoooodoooooddddddddddddddxxdxxxxxxxkkkkkOOOOOOOOOOOOkkkkkkkOOOkkkkkkkxxxxxxxxdddddddooooooloollllcc::::::;;;,.................................................................................     ..............................................................................................        ..     .          .  ..                  .      ..      .....     ..            ............''''''''''''''',,,,''',,'',,',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,
..................................................................................................................................''',,;;;'.........,;c:,..',,;,,,;:ccc::cccccc:::::::;;:;,......................'''............................................................................';:oooooodddddooodddddodddddddddddddddddxxxxxxxxxxxxxxxxxkkkkkkOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOkOOOOOOOOOOOOOOOOOOOkOOOOOOOOOOkkkkOOOOkkOOOOOOOOOOOkOOOOOOkkkOOOOkOOkOOOkkOkkOkkkkkxxxxxxxxxkkkkkkkkkkkkkOOOOkkkkOkkkxxxxxxxdxxxddddddoooodoooododddddddddddddxxxxxxxxxxkkkkkkOOOOOOOOOOkkkkkkOkkOkkkkkkkkkxxxxxxxxxdddddoooooololllccc::::::;;;;'. ...................................'..........................................      .............................................................................................         ..     .                                 ...    ....    ...                   ..............'''''''''','',,,,,'',',,,',,,,,,,,'',,,,,,,,,,,,,,;,,,,,,,,,,,,,,,,,,,,,,,,,,,,,
..................................................................................................................................',,;;;,'.........,:::;'.',;;,,,;::cc:;:clccc::::::;;;:c::,............... ..........    ............................. .........................................,:oooooooodddddddddddddddddddddddddddddddxxddxxxxxxxxxxkkkkkkkkkkOOOkkOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOkOOOOOOOOOOOOOOOOOOOOOOOOOOOOkOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOkkkkkkkxxxddddooooooooooooddddxxxxxkkkxxkkkkkkkkkkkkkkxxxxxxxxxxdddddddoooooddodddodddddddddddddxxdddxxxxxxkkkkkkkOOOOOOOkkkOOkkkkkkkkkkkkkkxxxxxxxdddddddooooollllllc::::::::;;,..  .............................................................................        .............................................................................................        ..                                       ...    .      ...       .      ........'''''''...''''''''''',,'',,,''',,,,,,,,,,,,',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,
.................................................................................................................................',;;;;,..........':c:;,..';;;,',:ccc::;cccccc::::::;;;:cll:............. ...;lxkdc,'...   ............................ .........................................';loooooooddddddddddddddddddddddddddddddddxxxxxxxxxxxxxkkkkkkkkkkkOOkkkOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOkkkOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOkkkOOOOOOOOOOOOOOOOOOOOOOkkkkkkxxxddllllollllllllllllllllllloddxxxxxxxxxxkkkkkkkkkxxdddddxxxdddddddddddddddoodooddddooddddddddddddxxxxxxxxxkkkkkOOOOOkkOOOOkkkkOkkkkkkkxxxxxxxxxxxdddddooolllllllc::::::::;;,... .............................................................................         .............................................................................................                  ....   ...                      ..   ...            . ..  .....''''''''''''''.'''''''''''''',,,,,'''',,,,,,,,,,,,',,,,,,,,,;;;,,,,,,,,,,,,,,,,,,,,,,,,,,,;;,,,,;,,
................................................................................................................................'';;;,'...........,:c;,'.',;;,,',:ccc:;:cccccc::::::;,;ccloc..........   .';:cldkkdlc:;,...............................  .........................................;llooooooddddddddddddddddddddddddddddddddddxxxxxxxxxxxkkkkkkkkkkkkkkkOOkOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOkkkOOOOOOkOOOOOOOOOOOOOkkOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOkkkxxxxxdoooollllodddddddooollllllccccllloodddxxxddddddddddddoooooddddxdddddddddddddddddddddddoooddddddddddddddddxxxxkkkkkkkkOOkkkOOOkkkkkkkkkkkkkkxxxxddxxxdddddooolllllccc::::::::;,'................................................................................          .............................................................................................                 . ...                          ..   ....               ........'''''''''''''''''''''''''''''',,,,,'','',,,,,,,,,,,,,,,,,,,;;;;;,,,;;,,,,,,,,,,,;;,,,,,,,,,;;;;,,,,'
...............................................................................................................................',,;;;'...........';:;'..',,,,,,;;::::::ccccc::::::;;;;;cclll;...........',::::;:lolllccc:;'.   ........................  .........................................,cloooooddddddddddddddddddddddxxxddxdddddxxxxxxxxxxxxxxxxkkkkkkkkkkkOOOkOOkOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOkkkkxdddoooooooodoodxxxdddxxxxddddoooooolllllllllllllolcccccccccccccccccllooddddddddddddddddddddddddddddddoodddddddddxxxxxxkkkkkkkkOOkkkkkkkkkkkkkkkkkkkxxxxxxdxdddddoooollllcccc:::::::;,'.. .............................................................................           .............................................................................................                                               ...               ..........''''''''''''',,,'''''''''''''''''''',,,''',',,,,,,,,,,,,,,,,,,,,,,,;;;;;,,,,,,;,,,,,,,,,,,,;;;,,,,'''....
..............................................................................................................................',;;;;,...........',;;'''',,,,,,;::::;;:cllcc:::::::;;;;:cccllc,.........'cclcc:::cllcccc::cc,.   ..................................................................'clloooooddddddddddddddddddxddxxxxxxddxxddxxxxxxxxxxxxxxxxkkkkkkkkkOOOOkkOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOkkkOOOOOOOOOOOOOOOOOOOOOO0OOOOOOOOOOOOOOOOkkkkxdooollllloodxxxxxddxkxdddddxxxdddxdddddddddoollllllcccccccccccccccccc::::::ccoooodddddddddddddddddddddddddoddddddddddddxxxxxkkkkkkkkkkkkkkkkkkkkkkkkkkkxxxxxxdddddddooooolccccc:::::;;;;;'.................................... ............................................            ............................................................................................    .                                        .                .......''',,,''''''''''',,,,'''''''''''''''''''''',,',,,,,,,,,,,,,,,,,,,,,,,,,,,;;;;;,,,;;;,;,,,;;,,,,,;;;,,'.........
.............................................................................................................................',,;;;,'...........,;;,'',',,,,,,;;:::;;:clccc::::::::;;::cccllc:'........':lolccccodoc:;::;;c:'.  ......................... .........................................:clodooooddddddddxxddxdddxxxddxxddxdddddxxxxxxxxxxxxxxxxxxkxkkkkkkkkOkkkOOOOkOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOkkOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOkkkkkxxddolclllooodddxxxxxdddxxxdddxxddxddddddddddddddooolllllllcllcclccccccccccc::::::cclodddodddddddddddddddddddddddddddddddddddddxxxkkkkkkkkkkkkkkkkkkkkkkkkxxxxxxdddddddddooollllllcc::::;;;;;,..................................................................................           ......................................................  .....................................      .         ...                                     ........''''',,'',''''''''''',,,,'''''''''''''''''''''',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,;;;;,,,,;;;;,,,,,,,;;,,,,,''...........
.............................................................................................................................,;;;;,'............,;,''',',,,,,,;::::::cccc::;;:::::::::ccccclcc;....... .,:olccccx0kxl;;;,;:;.............................  ........................................;clodooodddddddddxxdddddxxxxddxxxddxdddxxxxxxxddxxxxxxxxxxxxkkkkkkkkkkkkkkOOOkkOOOOOOOOOOOOOOOOOOOOOOOOOOOkOOOkOOOOOOOOOOOOOOOOOOOOOO00OOOOOOOOOOOkkkxxdooolllllodddxxxxxxdddddddddddodxxddddddddddoddddddooooollllcclolccllccllccccccc:::::::loooddddddddddddddddddddddoodddddddddddddddxxxxxkkkkkkkkkkkkkkkkkkkxxxxxxxxxdddddddoooollllllc::::::;;;;'..................................................................................            ............................................................................................               .           ..                    .    .......',,''',,,''','''''''''''',,''''''''''''.'''''''''',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,;;;,,,;;;;;,,;;,;;,,,,''...............
............................................................................................................................';;;,,'............',,''',,'',,,,;::::;:cccc:;;;;::::;;;::cclllccl:'..........;::cccxKKXOl:;,;;'.............................  ........................................';cooooodddddddddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxkkkkkkkkkkkkkOOOOOkkkOOOOOOOOOOOOOOOOOOOOOOOOOkkOOkOOOOOOOOOOOOOOOOOOOO000O0OOOOOOOkkxxddoooooooooooodddxxdddddoooodddoooooodddooooodxddddxddxxdooooollllclolccllclolcccccccccccccccccloooddodddddddddddddddoooddddddodddddddxxxxxxxkkkkkkkkkkkkkkkkkkkxxxxxxxdddddddoooolllllccc::::;;;;,'.................................................... .............................              ...........................................................................................               .                 ..        ..............''',,,,,',,,''',,,''''''''''''',,,,'''''''''''''''',,,,,,,,,,,,,,',,,,,,,,,,,;,,,,,,,,,;;;,,;;;;;;,,,,'....................
..........................................................................................................................',;;;,''............',,.''''',,,,,,;:::;;:::cc:;;;;;;;;;;;:ccclllcccc;'............,;;cox0koc;''...............................  .........................................';loddddddddddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxkkkkkkkkkkkkOOOkkOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOkOOkkkOOOOOOOOO000OO0000OOOOkkxxddoooooooooooooddoooddddooooooooooooollooollloooooooodxxxxxOkdodddollllccllccccclolllcccccccccccccc:::cloodddddddddddddddddoodddddooooodddddxxxxxkkkxxxxkkkxxxkkkkkkkxxxxxxxddddooooolllllcccc::;;;;;;;'.. ................................. ................ .............................              ...........................................................................................                                      ............''''''''''',,,,,'''''''''''',''''''',,,',''''''''''''''''''',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,;;;,,,;;,,''................... ....
..........................................................................................................................,:;;;,.............',,'.''''',,,,;;;::::;:c::c:;;;;;;;;;;::cccccccccc:;,................';,,'................................... ..........................................,looooddddddxxxxxxxxxxxxxxxxxxxxxxxxxxdxxxxxxxxxxxxxxxxxkkkkkkkkkkkkOOOOOkkkOkOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO0OOO0000Okkxxdooollllooooooooodddooooooooolloooollloooolooooolooooooloddooxxxolodoollllcclccccccllllllcccccccccccccc:::clooooooddddddddddddoddddddooooodddddddxxxkxxxxxxxkkkkkxkkkkxxxxxxxxxdddooooolllllcccc::;;;;;;,,..................................... ..............................................              ...........................................................................................                          .  .....................''''''''''''',,,''''''''''''''''''',,,,,,,,,,,,'''''''''''''',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,;;;;;;,'...........................
.........................................................................................................................';;;,,'.............',,''''''',,,,;;;:;;:::::::;;;;;;;;;;;::ccccc:cccccc:;;,.................................................................................................cooooddddddxxxxxxxxxxxxkxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxkkkkkkkkkkkkkkkOOkkkkOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO00OOkkxddoolllolloooooooolloooooollllllllllllolllllllllloolclooollloolllooolllollllllcccccccclllcccccccccccclcccccc::::ccllooddddoddddddddddodddooodddooodddddxxxxxxxxxxxkkkxkkxxxxxxxxxxxdddooooolllcccc::::;;;;;;'.. ................................................................................ ..             ...........................................................................................                     ..................'...''''...''''''''''''','''''''''''''''''''',,,,,,,,,,,,,,,,''''''''''',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,''..............................
.......................................................................................................................',;,',,'.............',,'''''',,,,;,;;;;;;:::;;;;;;:;;::::;;:ccccc:;:ccc::cclc;,''........................................................................................    .;loddooddddxxxxxxxxxxxxkxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxkkkkkkkkkkkkkkkkkOOOOOOOOOOOOOOOOOOOOOOOkkOOOOOOO0OO0OOOOOOOOOOOOOkxdollllloooolllollollllllllllllllllllccccclllolllllclllcccllllcllllclooollllcccccccccccccclllcccccccccccclcccccccccc:::ccloddddddddxddddoodddoooooooooddddddddxxxxxxxxkkxxkkxxxkxxxxxdddddooollllcccc::::;;;;;;,...  ................................ .............................................  ...             ..... .... ................................................................................                 ..................''''...''..'''''''''''',,''''',,'','''''''''''''',,,,,,,,,,,,,,,'''''''''''',''',,,',,,,,,,,,,,,,,,,,,,;,,,,''..................................
.......................................................................................................................,;;,'''..............','''.''',,,,;;;:;;;::;:::;,,;:;;;;;;;;:clcc:::ccc::::lol:;;;,,''....................................................................................... .,clooooddddxxxxxxddxxxxkxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxkkkkkkkOOkOOkkkkOOOOOOOOOOOOOOkOOOkOOOOOOOOOOOOOOOOOOOOO00OOOkkxxdllllllllooolllllllllllllllcccccccllllllcccccllllllcclllcccloolcclllclodolllccccccccccccccclllcccccccc:::ccccc::ccccccc:ccllooddddddxxdddddddddooooooooddddddddxxdxxxxxkkxxxxxxxxxxxxdddddddoollllccc:::::;;;;,,...  ................................................. .............................  ...             ..... .... ...............................................................................              ..........'...'''.....''''''''''.......'',''',,,'',,,,'''''''''''''''',,,,,,,,',,'',,,''',,'''''',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,'......................................
.......................................................................................................................,;;,,,..............''''''.'',,,,,,,;;;;:::;;::;,,;;;;,;;;;;:ccc::::cc:;;::lll:;;;;;;,,''.'................................'................................................. .';cooooddddxxxxxxddxxxkkkxkkxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxkkkkkkkkkkkkkOOOOOOOOOOOkOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOkkxdollllllolllooolllccccccccclccccccccccclllllccccllllllcllcccccllllclolllllolllllcclllccccclccllcccccccccccc:cc:cccccccc:ccccccllodddxddddddddddoddoooooooooddddddddddxxxxxxxxxxxxxxxxxxdddddddooollccccc::::;;;;;,'..................................................................................... ..               ...     .................................................................................           .................'''''...'''''''''''''...'''''',,,,,'''',,'''''''''''''',,,,,,,,,,,,,'',,''''''''''',,,,,,,,,,,','',,,,,,,,,;;,,'........................................
.....................................................................................................................',;;,''...............,,'''..'',,,,,,;;;;:::;;;:;;;;;;;;,;;;;;:ccc:::cc::;;:cccc:::;;::;;;;,,,''''........................';cc;..................''.........'.....................':ooooddddxxxxxxxxxxxkkkkkkkkkkkkkkxxxxxxxxxxxxxxxxxxxxxxxxxxkkkkkkkkkkkkOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOkkkxdollllllllooolloollccccccccccccccccccccccccllllllcccllllccccccc::cclccllolllllllollllllcccccccccccccccccccccccccccccccccccc:::::::ccoddddddddddddddddooooooooooodddoddddxxxxxxxxxxxxxxxxxxdddddoooolllccccc:;;;;;;;;'..................................................... ...............................                   ...     ..................................................................................       ...........................'''''''.''''',,''''''''''',,,,',,''''''''''''''',,,,,,,,,,,,,,'',,''''''''',,',,,,,,,,,,,,,,,,,,;;,,'............................................
....................................................................................................................,;;,,,'...............';,''...'',,,,,;;;;;:::;;;,,,;;;;;;,;;;:::cc::::c::;;;:cccc:c:;;::;;;;;,,'''''.''.....................''''.......................''....'......................;llooodddddxxxxkxxxxkkkkkkkkkxkkkkkxkkkxxxxxxxxxxxxxxxxxxkkxkkkkkkkkkkOOOOOOkOOkOOOOOOOOOOOkkOkkkOOOOOOOOOOOkkkkkkkxdollcclllllllollllllccccccc::::ccccccccccllllllooollcccclclc:ccc:;:ccccccllcccllllolllllcc::ccccccccc:ccccccccccccccc::cccc::cc:::::::clodddddddddddddoooooooooodooododddddxxdxxxxxxxxxxxxxxxddddooollllccc:::;;;;;;;,...................................................... ...............................   .              ....     ..................................................................................    ....................''.......''''''''''''',;;,'''''''',,,,,,,,''','''''''''''',,,,,,,,,,,,,,'''''''','''',,,'',,'''',,,,,,,;,,,'...............................................
...................................................................................................................';;;,,,'..............',;,'....',,,,,,;;;:::::;;,,,;;;;;;;,;;;:c:::::::c:;;;::ccccc::;;;;;::;,,,,,,''''''...''..................................'''....''''''''......................':loooodddxxxxxxxxxxxkkkkkkkkkkkkkkxkkkxxxxxxxxxxxxxxxxxxxkkkkkkkkkkkkkkkOOOkOOOOOOOOOOOOOOOOOOkkOOOOOOOOOkkkkkkkkddolccccllllllllllllllcccccccccccccccccccccllooooololccccccccc::::;;;;:::::cc:::ccllllcccc:::::cccccccc::clccccc::cc:ccccc:::::::::::::::clooddddxddddddoooooooooooooooodddddxddxxxxxxxxxxxxxxdddddooollllccc:::;;;;;;;'..................................  ............... ..................................   ..             ....   ...  ...............................................................................  ..........................''...'''''''''''''',,,''''',,,,,,,,,,'''',,''''''''''',,,,,,,,,,,,,,'''''',,,''''',,,',,,,',,,,,,,,,,..................................................
..................................................................................................................',,,,'''..............';;;,...'',,,,,,,,,;:::;;;;;,,,;;;;;;;;;;:::::::::::;,;:ccccc::;;;;;;;;,,,,,,,'''''''''''''''''..'''''''''''....'''.......''''...'','''''''..''..''''............,:ododddddxxxxxxxxxxkxxxkkkkkkkkkkkkkkxxxxxxxxxxxxxxxxxxxxkkkkkkkkkkkkkkOOOOOOOOOOOOOOOOOOOOOOkOOOOOOOOOkkkkxxxxdollccc:ccccllccccllcccccccccc:ccccc:::ccccccclllllccccc::::::;,;;;,,,,;;;;;;;;;;:c::::;;;;;;;:::ccccccc:cccccccc:ccccccc:::::::::::::::::::ccodddddddddddoddooodoooooooddddddddxxxxxxxxxxxxdddddddooollccccc::;;;;;;;;,................................... ...............   ..................................  .               .........  ...............................................................................................................''''''''''''''',,''''',,,,,,,,,''''''''''''''''''',,,,,,,,,,,,,,''''',,''',,,,,,,,,,,,,,,'''''.....................................................
................................................................................................................'',,,'''................,;;,'...'',,,,,,,,,;:::;;,,,,,,,,;;;;;;;;:::::;:::;;;;;:ccc:::;;:::;;,,,,,,,,,,,,,,,,''''''',''.'''''''''''''''''''''''''''''.''',,,'',,,'''''''''''''.'..........;oddddddddxxxxxxxxkkkkkkkkkkkkkkkkkkkkkkkkkkxxxkkxxxxxxxxxkkkkkkkkOkkkkkkOOOOOOOOOOOOOOOOOOOOkOOOOOOOkkkkxxddoolccc:::::::cccccccccccccc:::::::::::::::cccc::::cccc::c:::::;,'.';:;,;;:::::;;;;;:::;;,,,,,,,;;:::::cc:ccccclccccccccc:c::::;:::::::::::::::;:clodddddddddddddddooddoooddddodddxxxxxxxxxxxxxddddoooooolccccc::;;;;;;;;,.................................. ......................................................  ...             ........    ...........  .......................................................................................'........'''''''''''''''',,''''',,,,'''',,,'',,'''''''''''',,,,,,,,,,,,,,,,,,'',,,,,,,;,,,,,,,,,,,'....................  ....................................
...............................................................................................................'',,,,''.................;:,'...',,,,,,,,,,,;::;;;,,,,,,,,;;;;;;;;:::;;;:::;;;;;:ccc:::;;::;;;;,;;;,,,,,,,,,,,,,,,',,''''''''',,,'''',',,''.'''''''''''',;,,'',,,,''''','''',,''''.........,lddoddddxxxxxxxxkkkkxkkkkkkkkkkkkkxkkkkkkkkkkkkxxxxxxxxxxxkkkkkkkkkkOOOOOOOOkOOOOOOOOOOOOOOOOOOOOOOOkkkxxddoollccc::::::::::::::::::::::::::ccccccccccccccccccllccccccccc::;''';;;;;;::::::::::::c::;;,,''',,;;;;::ccccclclccclllllccc:::;;;:::::::::::::;;;:clodoodddddddddddddooooddddddddxxdxxxxxxxxxxdddddddollllcccc::;;;;;;;;;'................................   ......................................................  ...             ......    .......... .   .................................................................................................''''''''''''''','''''',,,,,,''',,,,,,,''''''''''',,,,,,,,,,,,,,,,,,',,,,,,,,;,,,,,,,,'''...........................................................
...............................................................................................................',,;,''.................';;,....',,,,,,;,,,,;;:;;;,,,,,;;;;;;;;;;;:;:;;::;;;;;;:cccc:::;;;:;,;;;;;;;,,,,,,,,,,,;,,,,,,,,,,',,,,,,,''''',,,''''',,,,,,,',;;;,,,,,,''''',,,'',,,''''''.......'coooddddddxxxxxxxkkkxxkkkkkkkkkkkkkkkkkkkkkkxxxxxxxxxxxxxxxkkkkkkkkkkOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOkkkxxxxxddolllcc:::::::;::::;;::::::c:ccllllloollllllllllllllcccccccc:::,,,,,,,,,,,,,,;;;;;::::::;;,'.''''',;::ccccccccllloolccc::;;::::::::::::::::::;;::coooodddddddddddddoooodddddddddddxxxxxxxxxddddddddolllcccc::;;;;;;;;;,................................   .......................................................  ...              ......   ............  ..................................................................................................'''''''''''''',''''''''',,,,'',,,,,''''''''''''',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,''...............................................................
...............................................................................................................,,,,'''................',,,'....'',,,,,,,,,;;;;;,;,,,,;;;;;;;;;;;;;;;;::;;,,;;;:clc:::;;;;;,,,;;;;;;,,,,,,,,,,,;,,,,,,,,,,,,,,,,,,',,,,,,,,,,,,,;;;;,;;;;;;;;;,,''''',;;;,',,,,,,,''''''...':lloodddddxxxxxxxkkkkkkkkkkkkkkkkkkkkkkkkkkxkkkkkxxxkkkxxkkkkkkkkkkkkOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOkkkkkkkkkkkxddollccccccccccccccllccllcllllloddollloooooooddoollllllccccc:::;;;,,,,,,,,,,,,,,;;;;;,,,,''',,,,;;:cccccccclllcc:::;;;;;::::::::::::::::::::;;;cclooooodddddddddddddoododddddddxxxxxxxddddddooooolllcc:::;;;;;;;;;;'...............................   .............     ......................................  ....             .......  ............. .............................................................................................'''''..''''''''''',,,''''''''','''''''',''''''''',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,'''.....................................................................
..............................................................................................................',,''''................,;;,''....'',',,,,,,;;;;;;;;,,,,;;,,;;;:::;;;;;:::,,,;;;,:cc::::;;;;;,,,;;;;,,,,,,,,',,,,,,,;,,,,,,,,,,,;,'',;;;;,'',,,;;;;;;;:::::;;;::;,''''',::;,,,;;;;,,,,'''''''';clooodddddxxxkxxkxkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkxkkkkkkkkkkkkkkkkOOOOOOOOOOOOOOOOOOOOOkkkOOOOOOOOOOOOOOkkkkkkkkxddoolllllclllllllllllllloolloooollloddoooooddolllollllllllcccc::::::::;;;;;;;;;:::;,,;,;;;;;;;::cccccccc:;;;,,,;;,,;;::c:::::::::::::::;;;;;::clooooddddddddddddddooooddddddxxxxxxxddddddoooolllcc::::;;;;:;;;,'.. ..........................   ...............       ...................  ................  ....             ...................... ..............................................................................................'......'.'''''''',;:,''',,,,,,''''''''''',,,''',,,,,,,,,,,,,,,,,,,,,,,,,,,,,''....... .................................................................
.............................................................................................................',,''''................',;;,'...''',,'',,,,;;;;,;;;;,,,;;;;;;;;::::;;:;;:;,',;;;::c::::;;;;;;,,,,;;,,,,,'',,'',;,,,;;;,,,,,,;;;;;,',,;;,,,',,,;;;;;;;;::::::::::,'''',,;::;;,;;:;;;,,,,''''''',;coooodddddxxxxxxxkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkxxxxkkkkkkkkkOkkkOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOkkkxxdollllllllllllllllllllllloolollloddddooollloooolllllllllllccccccc::::::::::::c:::::::::::::::cccccccc:;;;,,,,,',,,;:::::::::::::::::;;;;;;::loooooddddddddddddddddoddddddxxxdddddddddoooolllccc::;:;;;;;;,,'.. ................. ......... ........  ......     ...............  ..... .................   ...            ......................................................................................................................'.....''''''''''.';:;'''',,,,,,''',,'',,,,,,,''',,,,,,,,,,,,,,,,,,,,,,,,''.......  ..  ........................................ .......................
............................................................................................................'','...................'',;;'....''','',,,,,;;;;;;;,,,,,;;;;;;;;:::;;;:;;;,,,,,;::::::::;;;;,,,;;,;,,,,,,',,,,,,;,,,;;,,;,,,,;;;;;,',;;;,,,,,;;;;;;;;;::::::::::;,''',,,;:::;;;:::;;,,,,,''.''',,:loooddoddxxxxxxxkkkkkkkxkkkkkkkkkkkkkkkkkkkkxxkkkxkkkkkkkkkkkkxkkkkkkOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOkkkxxdoooooooooollllllllllllooollllloxxxdddollodoooloooolllollccccccccccc:::::::cccccccccccc:cc:ccccccccc::::;;;,,,,,,,;;;;;;;;:::::::::;;;,,;;:llllooddxxxddddddddddddddddddddxdxxddddddooooolccc::::;;;;;;;,'.   ...... ..................  ...........    .      ..... ...... .       ...................   ....           ............ ............ ..................................................................................................''''''''''.',,,'''''''',,'',,,''',,,,,,,'',,,,,,,,,,,,,,,,,,,,'''........   ............ ........................................................
............................................................................................................','....................'',,,'....''',,,,,,,;;;;;;;,,,,,,;,,,;;;:;;;;;;;;;,,,,,,;:::::::::::;,,;;;,,,,,,,,,,,'',,;;,;;;,,,,,,;;;;,,,,,;;,,,,,,,;;;;;;;;::::::;::;,,,,,,;;::::;;::::;;,,,,''''''''';loooddddxxxxxxxxxkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkxxkkkkkkkkkkkkkkkkkOOOOOOOOOOOOOOOkOOOOOOOOOOOOOOOOOOOOOOOOOOkkkkkxxdoolllllooooolllllllllolllllloddddddolodddooddddddooolllllllcccccccc::cccccccccllllccccccccccccccc::::::::;;;;;;;;;;;,,,;;;;::;;;;;,,,;;:looodddxxxxxxxxxdddddddddddddddddxxdddddooollllccc::::;;;;;;;'..     ......................................  ...........  ....    ..........................   .....             ...................................................................................................................'.....''''..'''''''''''''''''','''''',,,,',,,,,,,,,,,,,,,,,'''''...........  ............ ...   . .....................................................
..........................................................................................................'',,'.................'..',,,'.....',,'',,,,;;;;;;;;,,,,,,,,,,,;:;;;;;;;;;,'',,,,;:::::::::::;;;;;;,,,,,,,,,,',,,;;,,,;;,,,,;;;;;;,,,;;;;;,',,,;;;;;::::::::::::;,,,,,,;;::::;;;:::::;;,,,''''''''.':llooodddddxxxxxxkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkxxxkkkkkkkkkkkkOOkkkOOOOOkOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOkkxddolllllooooooolllllcllllloooooooddoodddddddxxxxxddddoolllllllllllcccclccclllllllllclllllollllccc:c::::cc::;;;;:::::;;;;;;;;;,,,'''',;:codxxxxxxxxxxxxxxxdddddddddxddddxddddddoooolllccc:::::;;;;;;;,...... .................................................    ...    ...........................    .........         ...................................................................................................................'...''''''..'''''','''''''''''''','',,,,,,,,,,,,,,,,,,,,'.................  ...............     ...... .............  .................................
.........................................................................................................',,'''.................'.'',,''....'''''',;;;,;;;;,;,,,,,,,,,,,;;:;;;;;;;;;,',,,,,;::::::::::;;,,,;;,,,'''',,,,,,,,,,,;;,,,,,;;;;;,,,,,,;;,,,,;;;;;;::::::::::::;,,,,,;;;;::c::;;::::::;,,,'''''',''';clooodddddxxxxxxkkxxxkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkxxkkkkkkkkkkkkkOkOOOOOOOOOOOOOOOOOOOOkOOOOOOOOOOOOOOOOOOOOOOOOOkkkkxxdollcclllllllllllllllllloooooodddddxddodddxkkxxxxxddooloooooollllcclllcclooolllllcccllloolllcccccc:::cccc:;;;;::;;;;;;;;;;;,,,',,;:clodxxkxxxxxxxxxxxxxdddddddddxdddddddddddoooolllcc:::::;;;;;;;;'. .......................................................  ..   ..............................    ..........       ........................................................................................................................''''''''''''''''''''''',',,,,,,,,,,,,,,,,,,,,,''..........  ..  .....     .....  ... .. .. ......   ............. ....................... .........
........................................................................................................''''''....................'',''...''','''',,;;;;;;;,,,,,,,,,,,,,,;:;;;;;,,;,,',,,,,;::::::;;;:;;;;;,,,,,'''',,,,,,,,,;;;;,,,,;;;;,,,,,,,,,,,,,;;;;;;;::::::::::;;,,',,,;;;;::c:;;,:c::c:;,,,,,,,,,,''',;:loooodddxxxxxxxxxxkkkkkkkkkkkkkkkkkkkkkkkkkkkxkkkkkkkkkkkkkkkkkkkkOOOOOOOOOOOOOOOOOOOOkOOkkOOOOOOOOOOOOOOOOOOOOOOOkkkkkxddollcccccccllllllllllllodooddooodooodddxkkkkkkkxdddddoddddoollclloollloooollllcccccloolllcccccc:;:cccc:;;;;;;;;;;;;;;;;;;;;;;:ccoodxxxxxxxxxxxxxxxxxdddddddddddddddddddddooolllcc::::::;;;;;;,,.. ............................................................................................    .......  .        .......................................................................................................................'''''''''''''''''''',,,,,,,,,,''''''''''..................  .........    ... .   ...  ........ ....................................................
........................................................................................................''''.....................',,,'...'''',,,,,,,;;;;;;;,,,,,,,,,,,,;;;;;;;;;;,;,'',,;,,;:::;:;;;;;;,,,;;;,,,''',,,',,,,,,;:;,,,;;;;;;,',,,,,,,,,,;;;;;;;;::::;:::;;,,,'',,;;;;;::c:;;;;:::cc;,,,,,,,,,,''',,,coooodddddxxxxxxxxxkkkkkkkkkkkkOkkkOkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkOOkOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOkOkkkkkkxxdoocc:ccclllccllllllllooooloooooodddddxkkkOOkxxxkdooddxxollclooddoodddooooollcccoddollcccccc::cllc::;;;;;;;;;;;;::::::::;;:cloodxxxkxxxxxxxxxxxkxdddddddddddddddddddddoollllccc::::::;;;;;'..   ... ....  .......................'''.......................................................        ...            ...............................................................................................................'....'.''''''''''''''''''',,,,,,'''................. ....  ....  .....    ...  .... .    .................................................................
................................................... ...................................................'''''.....................',,,'...''''',,,,,,;;;;;;;;,,,,,,,,,,,;;;;;;;;;;,,,'',,,,,;:;;;;;;;;,,,,,,,,,;,,,,,,,',,,,,;;:;,,,,,,,;,,,,,,,,,,,,;;;,;;;;::;;;;::;;;,'',,,,;;;;;::c::;;;::ccc;;;;,,,,,,,''''',:lllodddddxxxxxxkkxxkxkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkOOOkOOOOOOOOOkkkkkkOOOOOkOOOOOOOOOOOOOOOOOOOOOOOOOOOOOkkkkxdolccc:ccc:ccccllllloooooooooooddooodxkkkOkxkkkxddddxxdlllododddddddooooollcllllllccccccc:::cllc:;;;;;:;;;;;;;;;;;;::;;:llooodxxxxxkkxxxxkkxxxxxxdddddddxxdddxddddooolllllc::::::::;;;;;...    .......  .......................'''.......................................................                      .  ........................................    ........................................................................''.'''''''''''''''''''.......................  ........   .....      ...........   . ..............................................................
................................................... ..................................................''''''....................''',''....'''''',,,,;;;;;,;;,,,,,,'',,,;;;;;;;,,,,,,,,,,,,;;:;;;;;;;;,,;;,,,,,,'',,,,,,,,',,;;;,,;;,,,,,,,,,,,,,,,,;;;,,;;;::::;;:::;;;,,,,,,,;;;;;:cc::;,;::ccc:;;;,,,,,,,,,'',';:cllododddxxxxxxkkxxxkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkOOkkkOOOOOOOOOOOOkOOOkkkkkkkkOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOkkxdollc:::::cccllllllooooooooodddooodxxxxkxxkxxxdddxkkdlooddddxxdddddoooolllllllllclccccc:::ccc:::;;;;:;;:;;;;;;;;;:::clooooodxxxxxkxxxxxxxxxxxxxxdxdddxxxdddddddoooollllcc::::::::;:;;,.  ....................................''''.........................................................                      ..........................................  ....................................................................'..'''...'''''''''...............  ..........  .  ..........  ...  .. ..............      .....   .....................................................
......................................................................................................'''''...................''.'','...'''',,,,,,,,,,,;;;;;,,,,,,,,',,,,;;;;;,,,,,,,;,',,;;:;;;;;;,;,,,,,,,,,''''''',,,,,,;;,,,,,;,,,,,,,,,,,,,,,;,;;;;;;:::;;;:::;;;;,,,,',;;;,;::cc:;;;;::ccc:;;;;,,,,,,,,'','',;:clooddddxxxxxxxxxxkkkkkkkkkkkOOkkkkkkkkkkkkkkkkkkkkkkkkkkkOOOOkkkOOOkkkOOOOOkOOOOOOkOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOkkkxxdooollcccclccclllllllllooooooodddddddxkxxxdddxxxolodddodxxddxxolooolllllllllllc:cc:::ccc::::;;;;;;;;;;;;;;;::cllooddddddxxxxxkkxxxxxxxkkxxxxxxxxxxxddddddddooolllcccc:::::::;;;;,'.  ...  ...............................,,,''........................................................                   ...................................................................................................................'''''.''.'.................................................     ..................... ..  .................................. ..........................
.....................................................................................................''''.....................'''',,'...'',,,,,,,,,,,,;;;;;,,,,,,,,,'',,,,;;;;,,,,,,,,,,,,,;;:;;:;;,,,,,,,,;,,'''''',,,'',,;;,,,,,,,,,,,,,,,;;,,,,,,;;;;;:::::;:::;;,,,,,,,',;;;,;::::;;;;;::c:cc:;;;,,,,,,,,'''''',;:loooodddxxxxxxxkkkkkkkkxkkkkOkkkkkkkkkkkkkkkkkkkkkkkkkkkkkOOOkOOOkkkkOOOOkOOOOOOOOOkOOOOOOOOOOOOOOOOOOOOOOOOOkOOOOOOOOOOOOOOOOOkkkkxxoolccccccllcccccllllloooodddoooddddddoooooolooddodddddddolllllllccclllllccc::::c:::;;;;;;;;;;;;;;;;:cllodddddddddxxxxxxkkxxkkxxxkkxxxxxxxdxdddddddoodooolllccc:::::::;;;;,......    .........................'''..',,,,'........................................................                  ....................................................................................................................'''.............. ...  .......... ......  ....... .... .   ..........     ...     .........................  ............... ..........................
....................................................................................................'''..'......................'',''..''''',,,,,,;;;;;;;;;,,,,,,,,,',,;,,;;,,,,,,',,'',,;;;;;;;;;;,,,,,,,,,,'''','',,',,,,,,,,,,,,,,,,,,,,;;;,,,,,,,;;;;::::;;::;;;;;;,,,,,,;;;,,;:::;;;;:::c:cc::;;,,,,,,,,,''''.',:looooodxxxxxxxxxxxxxkkxxkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkOOOOOOOkkkkOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOkkkkOOOOOOOOOkOOOOkkkkkkxxdolllcccccccccllllloooooooooddddoooollllllooooddoooooolllllllccclllllcccc::::::;;;;;;;;,,;;;::clloooddddddddddddxxxxxxxxkxxxxxxxxxxxxxddxxdddddoooooolllcc::::;::;;;;;....... ..........................'.''''.',,,,,'.......................................................   .              .............................................................................................................................     .   ...  ..............      .....  .......  ........     .         ................. ....  .  ... ........... ..........................
....................................................................................................''''.....................'.'',,''''''',,,''',;;;;;;;;;;,,,,,',,,,,,,,,,,,,,,,''',,,,;;;;;;;;;;;,,,',,,,,,,,''''''',,,,,,,,,,,,,,,,,,,,,,;,,,,,,,,,;;;:::;;;;;;,,;;;,,,,,;;;;,;::::;;;;::::cccc:;;;,,,,,,,,''''''',:clooodddddddxxxxxxxxxxxxkkkkkkkkkkkkkkkOkkkkkkkkkkkkkkkkkkkkkOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOkkkOOOOOkkOOOOkkkkkkkkxxxddddooollcccccclllllllllloooooooolllllloolloooooooolllllolllccllcc::::::;;;;;;;;;;;:::cllooddddddddddddddddddxxxxxxxxxxxxxxxxxxxxxxxxxxdddooooolllllcccc::::;;;;;;'................................'''...'''',,,;;,.......................................................   ..              ..  ......................................... ............................................................................            ... .........   ... .  ....... ..................   ...  .......................  ....  . .... .....................................
....................................................................................................''''.....................'''''''''''',,,,,',,,,,;;;;;;;,,,,',,',,,,,,,,,,,,,,''''',,;;;;;;;;,,,,,,,,,,,,,,''''','',,;,,,,,,,,,,,,,,,,,,,,,,,,,,;;;;:::::;;;;;;,,;;;,,,,,;;;;,;:::;;;;;:::::cccc:;;,,,,,,,,,,,,,''';ccclodddddddxxxxxxxxxxxxxkkkkkkkkkkkkkkOOkkkkkkkkkkkkkkkkkkkOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOkkOOOOOOOkOOkkkkkkkkkkkkkkkxxdddollllcccclccccllolllllloollllolloooooooolllllllllllcccc::::::;;;,,,;;;:ccoooddddxddxdddddddddodddddxxxxxxxxdxxxxxxxxxxxxxxxdddddooooollllccc:::::;;;::;'................................''..'...',,,,;;;;;'.....................................................   .                .   .......................................................................................................             .                ......      .........  ... ................... ....  .............................  . ..........................................
...................................................................................................''.......................''''''''''''''',,'',;;,,;;;;,;,,,,,,''',,,,,;,,,,,,,,'.''',;;;;;;;;;,,,,,,,,;,,,,''','''',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,;;;::::::;;;;;,,;;;,,,,,,;;;;,;:c:;;,;;:::::cccc:;;;,,,,,,,,,,''''',::cclodddddddxxxxxxkkkkkxxkkkkkkkkkkkkOOOOkkkkkkkkkkkkkkkkOOOOOOOOOkOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOkOkkkkkkOkkkkkkkkkxxxxxxdddoolccccccccllllllllllllllllloooooooollllllllccc:::::;;;;;;;;;:::cclooddddxxxxxdxdddxddxddddddddxdddxxxxxxxxxxxxxxxxxxxddddddoooooolllcccc::::;;;::,.................................''..'..'',',;;;;::,.....................................................                    ..... ......  ...........................................................................................           .             ..  .. ......      ......      ............. .............  ......... ..... ............. .............................................
...................................................................................................''........................'''''''''',,'''',,,;;,,;;;,,,,,,,,,,'',,,;;;,,,,,,''''',',,;;,;;;,,,,;;,,,,,,,,,'''''''',,,,',,,,,,,,',,,,;;,,,,,,,,,,;;;;;;::;;;;;,,,;;,,,,,,,;;;;;;:::;;;;;:::::cccc:::;;,,,,,,,,,'',,',,;::cloodddddxxxxxxxxxxxxxxkkkkkkkkkkkkOOOkkkkkkkkkkkkkkOkkOOOOOOOOkOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOkOOOkkkkkkkkkxxkxxxxxxdooolcccccccccclllllllllllllllllllllllllllcc::;;;;;;;:::::clllllodddddxxkxxxxxxddxxxxxxdddddddddddxxxxxxxxxxxxxxxxddxddddooooolllllcccccc:::::;;,..................................'''''''','',,;:;::;.....................................................                    ..........     ......................................................................................             ...         ..       .           .......      .....   .....   ............................   ......... ....  ...  ...................... ............',
...................................................................................................''........................'''''''',,,'',,,,,,,,,,,;;;,,,,,,,,,'',,,,,,,,,,,,,'''',,,,,;;;,,,,,,,;,,,,,,,,,','''''',,,,',,,,,,,,',,,,,,,,,,,,,;;;;;;;;;:::;;,,,,,;;;;,,,;;;;;;;;::;,,;;;::::ccllc:::;;;;;,,,,,,,'',,,,;;;;:llodddddxxxxxxxxxxxxxxkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkOOOOOOOOOOOkOOkOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOkkkkkkkkkkkxxxxxxxxddoooolllllclcccccccccccccccccccccccccc::::::::ccclllloooddddxxxxxxxxxxxxxxxxxxxxxxdddddddddddddxxxxxdxxxxxxxxdddddooooooollllcccccc::::;:;'....  ..............................'''.'''''',,,;;:::,.....................................................   ..             ..........       ...................................................................................                          .    .    ......   ...   .         ... ..........  ..   ......  ........ .......................  ..... .....   ......  ............''',,,,,
...................................................................................................'.........................'''''',,,,,'',,,,;,,,,,,;;;,;;,,,,''',,,,,,,,,,,'''''.',,,,,,,,,,,,;,,;,,',,,,''''',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,;,;;:;;;;;;;;;;,,,,,,;;;;,'';::;,,,;;;;,,,;;::::ccllc:::::;;;;;,,,;,,,,,,,,;;,,;coooddddxxxxddxxxxxxxxkkkkkkkkkkkkkkkOkkkkkkkkkkkkkOkkkkOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOkOOOOOOOkOOOkkOkkkkkkxkkkkkxxxxxxddooolllllllcclcccccccclcccccllclllllloooodddddddxxxxxxxxxxxxxxxdxxxxxxxxxddddddddddddddxxxdddxxddddxdddddoooollllllcccccc:::;;;;,...... ...........................'..'''''''''''',,,;;:;'....................................................  ....             .......        ................................................................................          .                        ..   .....   ...   ...  ....................      ................     ..........   .......... ...   .........     ........'',,,,,;,,;;
.................................................................................................'.'.........................''''''',,'''',,,;;;,,,,;;;;,;,,,,,,,,,,,,,,,,,,''''''.',,,,,,,,,;,,,,,,,,,,,,''',,,''',,,,,,,,,,,,,,,,,,,,,,,,,,,,,;;::;;;;;::;,,,,;,,,,,,,'',;;;;;,;;;;;,,;:::::cllccc::::;;;;,,,,,,;,,,,;,;;,'';clooooddddddxddxxxxxxkkkkkkkkkkkkkkkkkkkOOkkkkkkkOOOkkkOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOkkOkkkkkkkkkkkkkkkkxxxxddddddoooooooolllllllolllooooooooooddddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxddxxddddddddddddddddddddddxxddxxdddooooolllllllcccc:::;;;;;'. ....... ........................'..'''''''',''',,,,,;;,'..................................................    ..             .......         ..............................................................................                                .   .     ... .......    .. ............ ...... ...   .................   ................... ............  .......  ........'',,,,,,,,;;;;;
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...........................................................................................................................'',,''',,,,,,,,,,,,,',,,;;;;,,,,;;,''',,,,,,,,,,,'''..''',,,,,,,,,,,,;,,,,,,,',,,,,,,',,,,'',,,,,',,,,,,,'''',,,,,,,;;;;;;;;;;,',,,,,',,;;,,,,,,;;;;;,;;,,;;;;;;;::::clccccc:::::::;;;;,,;,,,,,,,,,'',coooooddddddxxxxxxxxxxxkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOkOOOOOOOOOOOOOOOOOOOOOOOOO00000000OOOOOOOOOOOOOOOOOOOOOOOOOOOOOkkOOOOOOOOOkkkkkkkkOOkkkkkkOkkkkkkkkkkkkkkkkkkkxxkkxxxxxxxxxxxxxxxxxdddddddddxddddddddddddxxxxdddddddddddddoooolllllllccc:::::;;;;,'.  .   ................................'''....'''''.',,,,,;:;'...................................................   ..               ...          ................. ........................................................                                                       ........ .. ....    .................         ...................   ..............  .....'',,;;;;,,,;,,,,;,,,;,,,,;,,;;;;
................................................................................................'..........................'',,,'',,,',,,,,,,,,,,,,;;;;,,,,,,,,''',,,,,,,,,,'''..''',,,,,,,,,,,,,,,,,,,,,,,,'',,,,,'',',,,,,',,,,,,,''',,,,,,,;;;;;;:;;;,,',,,,,,,,,,,,,,,,;;;,,,;;;;;;;;::;;:::clccccccc::::;;;;;,;;;,,,,,,,''',colllloooddddxxxxxxxxxxkxxxkkxxkkkkkkkkkkkkkkkkkkkkkkkOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO000000000OOOOOOOOOOOO0OOOOOOOOOOOOOOOOOOOOOOOOOOOkkOOOOOOOOOkkkkkOOkkkkkkkkkkkkkkkkkkkkxxxxxxxxxxxxxxxxxxxddxxddxxxdddxddddddddddddddddddddddddddooooolllllcccc::::;;;;,'....       .............................''''''''',''''',,,,;;;,...................................................   ..               ...           .................... ....................................................                      .                     ....       ... ....  ......  .......... ...   .......    ............ ..   ..............  ......'',;;;;;;,,,,,,,,,,;,,;;;,,,;,,,,;;
...........................................................................................................................''''''',,,'',,,,,,,,,,,;;;;,,,',,,,''',,,,,,,,'''''...''',,,,,,,,,,,,,,,','',,,,,'',,,,'''',,,,,,,,,,,,,''',,,,,,,,;;;;;;;;;;;,,,,,,,,,,,,,,,,,,;;;;;;;;;;;;;;;:::::cclccccccccc::;;;;;,;;;;;;;;;,,''':lolcclloodddddxxxxxxxxxxxxxkxxkkkkkkkkkkkkkkkkkkkkkkkkOOkkkkOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO0OOO000000000OOO000OOOOOOOO0OOOOOOOOOOOOOOOOOOOOOOOOOOOkOOOOOOOOOOOkkkOkkkkkkkkkkkkkkkkkkkkxxkkxxxxxxxxxxxxxddxxxxxdxxddddddddddddddddddddddddddddddooooooollcccc:c::::;;;,...... .   ................................''''''..'''''''',,,,;,'..................................................   ..             ......  .     .  ........ ...............................................................                                         .  .......   ...   .......  ........   ........    .......  ............ .   ...... ...........'',,,,,;;,,,,,,,,,,,,,,,;,;;;,,,,,,,,,,;
...........................................................................................................................''',,'',,,'',,',,,,'',;;;;;,,'',,,,',,,,,,,'',,''''...'',,,,,,,,,,,,,,,,,,,',,,,,,,''''''''',,,,,,,,,,,,,,,,,,,,,,;;;;;;;;;;,,,,,,,,,,,,',,,,,,,,;;;;;;;,;;;;;:::::ccccllcccccccc::;;;;;;;;;;;;;;;,''';cll::cclooddddxxxxxxxxxxxxxxxxkkkkkkkkkkkkkkkkkkkkkkkkkkkkOkOOOOOOOOOkOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO000OO0000000000000O000000OOOOOOOOO00OOOOOOOOOOOOkkOOOOOOOOOOOOOOOOOOkkkkkkkOkkkkkkkkkkkkkkkkkkkxxxxxxxxxxxxxxxxxxxxddxdxxxdddddddddddddddddddddddddodooollllllccc::c:;;;;;;'....  ......................................'''''....'''''','',,,,'.................................................   ..             .   ......   ............  ...   ...................''...................................                               .....        .......   ...   ......     ..      ......... .   ... ...  ...  .......  .....  ......'',;;;;;,,,,,,,,,,,,,,,,,,,,,,,;,,,,,,,,,;;;;;;
...............................................................................................'..........................'''',,,,,,,,,,,,,,,,',;;;;,,,,'',,,,,,,,,,,,,',''''..'''',,'',,,,,,,,,,,,,,,,,,,,,,'''''',,,',,,,,,,,,,,,,,,,,,,,;;;;;;,;;;,,,,,,,,,;;,,,,,,,,,,,,;;,;;;;,;;;;;::::::ccccllccccllc::;;;::::;;;;;,;;,,'',:cl:c:;:clooodddxxxxxxxxxxxxxxxkkkkkkkkkkkkkkkkkkkkkkkkkkkOkkOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO00000000000000000OOO0000OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOkOOOOOOOkOOkkkkOOkkkOOOkkkkkkkkkkkkxxxxxxxxxxxxxdxxxxxxdddddddddddddddddddddddddooddddooodolollcccccc:::::;;;;,,.....  .....................................''''''.''''''''''''',,,''................................................. ..                     ...      .......... ...    .......................................................                                              ..      ....  ......  ...... ........      .. ..  ........    ..... ............',,,,;;;;,,,,;;;;,,,,,,,,,,,,,,,,;;;,,,,,;;;;;;;;;
..........................................................................................................................''''',,,,'',,,,,,,,,',;;;;;,,,'',,,',,,'',;,''''''''..'',,,,'''',,,,,,,,'',,,,,,,,,'',''',,'''''',,,,,,,,,,,,,,,;;;;;;;;;;,,,,,,',,,;;,,,,,,,,,,;;;,,,;;,,,;;;;::c:::cccclllcccllc::;:::::::;;;,,,;;,'',;cc:c:,,;:cloddddddddxxxxdxxxxxxxxxkkkkkkkkkkOkkkkkkkkkkkkkkkOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO000000000000000000000000OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOkkkkkkkkOOOkkkkkkkkkkkkkxxxxxxxxxxxxddxxxddddddddddddddddddddddddddddooooooooooolllllcccccc:;::;;;,'..... ...... ...............................'.'''''''''''''''''''',,''.................................................  ..                             ..............  .........................................................                                                     ............. .................   ......   ... ....  ..   ..........'',,,,,,;;;,;;;;;;;;;;;,,,,,;,,,,,,,,,;;;;;;,,;;;;;;;,;
.........................................................................................................................'''''',,,''',,,,,,,,,,,;;;;;,,,'',,'',,,,,,,,,,''''.....',',,,'',,,,,,,,''',,,,,,,,,,,,'',,,,,,,,,,,,,,,,',,,,,,;;;;,,,;;;,,,,;,,',,,;;;,,,,,,,,,;;;,,,;;;,;;;::::::::ccclllllllllcc::::::::::::;;,;:;,',;clcc:,',;;:codddddddddddxxxxxxxxxxxkkkkkkxkkOkkkkkkkkkkkkkkkkkOOOOOOkOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO000000000000000000000000OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOkkkkkkOOOOkkkOkkkkkkkkkkkxxxxxxxxxxxxxxxxxxxxdddddddddddddddddoddddddddoooooooolllllllllc:::::;;;;;,.......... ....................................'''..'....'',''''''',,,''................................................  ..                            ..............   .........................................................                                           .    ...      .... .... ..........    ..........     ................''',,,,,,,,;;;;;;;;;;;;;;,,,,,,,,,;,,,,,,;;;;;;;;;;;;;;;;;;;;;,;
........................................................................................................................''''''',,,''',,,,,,'',,,;;;;;,,,,,,,,,,',,,,',,,''''...''',,''''',,,,,;,,,,,,,;,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,;;,,,,,,;;;,,,;;;,'',;;;,,,,,,,,,,,;,,,;;;;;;;;::::::cccllllllllllllcc::::::::::::;;;::;,',:ccc;..',,,,coododdddddddddddxxxxxxxxxxxkkkkkkkkkkkkkkkOOkOOkkkkOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO000000000000000000000000OO000000OOOOOOOO0OO000OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOkkkkOOOkkkOOkkkkkkkkkkkkkkxxxxxxxxxxxxxxxddddddddddddddoddddodddddddoooooooollllolccccc:::::;;,'...............................................''''''''...''','''',,''''''................................................  ..                           .............     ..........................................................    .                        ..            ..           ...   ... .........   ..   ...   . ............''',,,,,,,;;;;;,,,,;;;;;;;;;;;;;;,,,;;,;;;,,,,,,,,;;;;;;;;;;;;;;;,;;;;;;
........................................................................................................................''''',,,,,'',,,,,,''',;;;;;,,,,',,,,,,,',,,,',''''''...''''''''''',,,,,;;,,,,,,,'',,'',,,,,',,,,,,,,,,,,''''',,,;;,,,;;,;;;,,,;;;,',,;;;;,,,,,,',,;;;,,;;;;;;;;;:::::::cllllllllllllccc::::::::::::;;;:c;'';lll;'..'',,;:coooddddddxxddddxxxxxkxxxxkkkkkkkkkkkkkkkkkOkkkkOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO0OO000000000000000000000000000000OOOOOO00OOO00OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOkkkOOOkkkOOkkkkkkkkkkxxxxxxxxxxxkxxddxxddddddddddddddddddddoddddddddooooooolllcllccc:::::;:;,'................................................''''''''''''''''','',''''''................................................  ..                           ...............   ....... ..................................................              .              ..           ...   .....   ...   ... .........  .    .............'''',,,,;;,,,;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;,;;;,,,,,;;,,;;;;;;;;;;;;;;;;;;;;;;
............................................................................................'...........................''''',,,,,',,,,,,,,'',;;;;;,,,,,,;,,,,,',,,,,'''''''...''','',,,',,,,,,,,,,,,,,,,,,,,,,,,'''',,,,,,,'','''',,;;,,,,,;;;,;;;,,,;;,,,,;;;;;;,,,,,'',;;,,;;;;;;;;;;;::::::clllllllllllclccc::::c:::::::;,;::,',cooc,..',;;,';looooodddddddddxxxxxxxxxxkkkkkkkkkkkkkkkkkkkkkkkOOkkOOOOOOOOOOOOOOOOOOOOOOOOOOO00OOOOO000OO00000000000000000000000000000000O000000000OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOkkkkOkkkkkkkkkkkxxxxxxxxxxxxxddddddddddddddddddddddodddooooooooooooollllcccc::::;;;;;,...................................................'''''''''.''''''''''''.'''................................................  ...                         .... .............. ..........................................................                            .            ... ...  ..       ....   ..  ................''',,,,,,,,,,,,;;;;,,,,,;;;;;;;;;;;;;;;;;;;;;;;;;;;;,,,;;,,,,,,,;;;;;;;;;;;;;;;;;;;;;;;;
...........................................................................................''...........................'''',,,,,,,,,,,'''''',;;;;;,,,',,,,,,'''',,,,'''''''...'',,'',,'',,,,,,,',,,,,,,,,,,,,,,'''''',,,,,,,''''',;;;;,,,,;;;;;,,,,,;;;,,,,;;;;;;,,,,,'',,;,,;;;;,,;;:;;:::::cccllllllllllclcccc:::::::::cc;,,;:;,;clol:'.',,;,''cooooooooodddddddxdxxxxxxxxxxxxxxkkkkkkkkkkkkkkkkkkkkOOOOOOOOOOOOOOOOOOOOOOOOO0000OOOO0000000000000000000000000KKKK00000000000000000000000000OOO000OOO00OOOOOOOOOOOOOOkkOOkkkkkkkkkkkkkkkkkxxxxxdxxxxxddddddddddddddddddooooodddoooooooooollllllcccc:::::;;;,'.................................................'''.'''''''''''''''''''''.'''................................................  ...                         .... .........  ...  .........................................................                                         ...   ..         ..............'.''''',,'',,,,,,,,,,,,,,;;;;;;;;;;,,,;;;;;;;;;;;;;;;,;;;;;;;;;;;;,,,,,,;,,,,;;;;;;;;;;;:::;;;;;;;;;;;
..........................................................................................'''...........................'''',,,,,,,,,,'''''',;;;;;;,''',,,,,'''''',,,,'''''...'''',,''',,,,,,,,,',,,,,,,,'',,,,,'''''',,,,,,,''',,;;:;,,,;;;;;;;,,,,,;;;,,',;;;,;,,,,,''',,;,,;;;;,,,;:;:::::cccclllcllllllllllcc:::ccc::ccc:;;,::;;:looc,.'',;,,':ooodddooooddddddxdxxxxxxxxxxxxxxkkkkkkkkkkkkkkkkkkkOOOOOkOOOOOOOOOOOOOOOOOOOOOOOOOOOO00000000000000000000000KKKKKKK00000000000000000000000000000000O000000OOOOOOOOOOOOOOOOOOOkkkkxkkkkkkkkxxxxxxxxxxxdddxdddddddddddddoooooooooooooooooolllllcccccc:::;;;;,...................................................''''''''.''''''''.'''''''...''................................................ ...                    .    .... ..............   ........................................................                                         ...          ............''''''',,,,'',,'',,,,,,;;;;,,,;;;;;;;;;;;;,;;;;;;;;;;;;;;;,,;;;;;;;;;;;;,,,,,;;;;;;;;;;:;;;;;;::::::;;;;;;;;
..........................................................................................'............................',''',,,,,,,,,,,,''',,;,;;;;,'',,,,,,,,,,',,,'''''''...''',,,''',,,,,,;,,,,,,,,,,,'',,,,'',''',;,,;,''',,,;;;;;,,;;;;;;;;,''',,,;;,,,;:;,,,,,,,'',,;;;,,;;;;,;;:;::::::ccclcccllclllllllcccccccc:ccccc:;;:c:;:lolc,..',,,,';lloddddoooddddddxdddxddxxxxxxxxxxkkxxkkkkkkkkkkkkkkkOOOOkOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO00000000000000000KKKK00K000000000000000000000000O000000000000O00OOOOOOOOOOOOOOOkkOOOkkkkkkkkkkxxxxxxxxxxxxdxdddddddddddddddooooooooooooooooooolllllccccc::::;;;,'.....................................................''''''.''.''....'''''''...'''...............................................  ..                      ......  ...............  ........................................................                       .               ..  ...............'''..''','',,,',,,,,,,,',,,,,,,,,,,;;;;;;;;;;,;;;;,;;;;;;;;;;,;;;,,,,;;;;;;;;;;;,,,,,;;;;;;;;;:::;;;;;::::::;;;;;;;;
.......................................................................................................................',''',,,,',,,,,,,'',,,;;;;;,,,,,,,,,,,,,,,,,,''''''''..'',,,'''''',,,,,,,,,,,,,,,,'',,,''''''',;,,,,'',,,,,,,,,,,;;;;;;,,,,,,,;;;,,,,;;;,,,,,,,',,,;;;,,;;;;;;;;;:::::cccclcclllclllllllllccccccccccccc:;::c::lllc;...,,;;',:lddddxxxddddooddddddddxxxxxxxxxxkxxxxkkkkkkkkkkkkkkkkOOkOOOOOOOOOOOOOOOOOOOOOOOOOOOO00OOO00000000000000000000000000000000000000000000000OOOO00000O000OOOOOOOOOOOOOOOOOOkkkkOkkkkkkkkkxxxxxxxxxxxxxxddddddxxdddddddooooodoooooooooollllllccccc:::::;;;;,.........................................................''''''''.''....'''''''....''...............................................  ..                       ...... ............  ...........................................................         .                          . .................''''''''''''''''',',,,,,,,,,,,,,,,,,,,;;;;;;;;;;;;;;;;,;;;;;;,,,;;;;;,,,;;;;;;;;;;;;;,,,;;;;;;;::::;;;;;:::::::;;;;;;;;
.........................................................................................'.............................',,'',,''',;;,,,,''',;;;;;;,,,,,,;;,',,,,,,,'''.''...'.',,,,,,,'''',,,,,,,,,,,,,,'''','''''''',;,,,,,,'',,,,,,,,,,;;;;,,,,,,,;;;;;,,,;;;,,,;;,,,,,,,;,,,;;:;;;;;;:::::ccccccclllclllllllolccclccclcccllc;;:c::ccll:..',,;:,',:dxdddxxxxxdoooooddddddxxxxxxxxxxxxkkkkkxkkkkkkkkkkkOOOOkkOOOOOOOkOOOOOOOOOOOOOOOOOOO0OOO0000000000000000000000000000000000000OO000OO0OOOOO0000000000OOOOOOOOOOOOOOOOkkOOOkkOOkkkkkkkxxxxxxdxxxxxdxxdddddxddddddddooooooooooooooolllllccccc:::::::;,,'.........................................................''''''''''''''..''''.''....'''.............................................   ..                   ..   ............. ....  ...........................................................                                 ....................''''''''''''',,,',,',,,,,,,,,,,,,,,,,,;,;;,;;;;;;;;;;;;;;,;;;;;,,,;;;,,,,,;;;;;;;;;;;;;;;;;;;;;;;;;:::::;;:::::;;;::::::;
........................................................................................''.............................'',,,,'',,,,,',,,',,,;;;;;;,,,,,,;;,,,,,,,',,,'''...'''''',,,,,'''',,,,,,;,,,,,'''''''''''',,,,;,,,,,,,',,,,,,,,,;;;;,,,,,,,,;;;;;,,;;;;;,,;;,,,,,,,;,,;;;:;;;;;;:cc:ccccccccllcclllllllllccllcccccccllc:::c:::cll:'.',,;;,'.;oddddxxxkkxdddoooooddddddxdxxxxxxxxxxxxxkkkkkkkkkkkkkkkkkOOOOOOOkOOOOOOOOOOOOOOOOOOOOOOO000OO00000000000000000000000000000OOOOO000OOOOOOOOOOOOOO00OO0OOOOOOOOOOOOOOOOOOkOkkkOkkkkkkkkkxxxxxxxxxdddxddddddddddddooooooooooooooololclccccccc:::::;;,'...........................................................'''''''''''''''..'''.'''''..'..............................................   ..                       ..............    ............. ................................................                              ...................''''''''''''''''''''',,,,,,,,,,,,,,,,,,;,;;;;;;;;;;;;;;;;;;;;;;;;;;,,,,,,,,,,,;;;;;;;;;;;;;;;;;;;;;:::::::::;;::::;;;:::::::;
........................................................................................'..............................',,,;,,,,,,,,,,,,,,;;;;;;;,,,,,,,,,,,,,,,,,,'''''''''''''''''''''',,,,,,,,,,,,,,''''''''''',,',;,,,,,,,,,,,,,,,;;;;;,','',,,,;;;,,,,,;;;,,,;;,,,,,,,;,,,;::;;;;;;:::::ccccccclllclllllllllccclccccccclllcc:c:::cll:'..'',,,'.,ldddddxxxkxxxxxdddooooooddodddddxxxxxxxxxxxxxkkkkkkkkkkkkkkkkOOOOOOOOOOOOOOOO00OOOO0OOOOOOOOO0000000000000O00000000OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOkkkkkkkkkkkkxxxxxxxxdxxddddddddddddddddddooooooooollllllcccccc:::::;;;;,,..............................................................''''''''.'''....''...''''...'..............................................  ....                    ....... ....... .. ..............................................................                        ...................'''....''''''''''''''''''',,,,,,,,,,,,,,,,,,;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;,,,,,,,,,,;;;;;;;;;;;;;;;;;;;:::::::::::::::::;;;:::::;;:
.......................................................................................''............................'',,,,,,'',,,,,,,,,,,;;;;;;;;,,,,,,,,,,,,,,,,,'''''''''''''''',;;,,,,,,,,,,,,,,'',,',''''''''','',,,,,,,,,,,,,,,;;;;;,'''''',,,;;,,,,,,;;;;;;;;,,,,,,;;;,,;;;;;;;;::::::ccccccclllclllloolllccccclcllcclllol:::::cllc,''.',,,,',codddddxxkxxxxxxxxxdoooooooddddddxxddxxxxxxxxxxkkkkkkkkkkkkOkkOOOOOOOOOOOOOOOOOOOO00OOOOOOOOOO00000000000000OOOO0OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOkOOOOOOkkkkOOkkkkkkkkkkkxxxxxxxxdxxddddddddddoooooooooollooolllllllccccccc:::::::;'..................................................................'''.''.''''...''''''''''..''.............................................. ....                    .................................................................................                    ........................'...''.'''''''''''''''''',,,,,,,,,,,,;;;;,,;;;;;;;;;;;;;;;;;;;;;;;;;;,,,,,,,;,,,;;;;;;;:;;;;;;;;;;;:::::::::;::::::;::::;;;;;:::::
.......................................................................................''...........................',,,,,,,,,,'',,,,,,,;;;;;;;;,,,,,,,,,,,,,,,,,,,'..''''''',,,,,,,;;,,,,,,,,,,,,,''',,,''','''',,,'',,,,,,,,,,,,,,;;;;;,''.''',,;,,,;;;;,;;;;;,,;;;;,,,,;;,,,,;::;;;:::::::ccccllccccclllooollllcccclcllllllool:::::cllc;,'..',,,',:loddddxxkkxxxxxxxxxddooooooodddddxdddxxxxxxxxxkkkkkkkkkkkkkkkOOOOkOOOOOOOOOOOOOOOOOOOOOOOOOOOO000OOO00000000OOOOOOOOOOOOOkkkkOOOOOOkkOOOOOOOOOOOOOOOOOOOOOOOOOkOOOOOkkkkkkkkkkkkkkkxxxxxxxxxxxddddddddddooooooooollooollllllccccccc::::::;;;,..................................................................'''''''''''''...'''''''..''''.............................................  ...                  ........................................  ...  .....................................                 ...............................'''''''','''''''''','',,,,,,,,,,,;;;;;,;;;;;;;;;;;;;;;;;;;;;;;;;;;,,,,,,,;,,,;;;;;;::;;:::;;::::::::::;;;::::;;;;:::::;;;:::::
......................................................................................'''............................',,,,,,,,;,,,,,',,,;;;;;;;;,,',,,,,,,,,,,;,,,''....''',,,,,,,,,',,,,,,,,,,,,,'''',,,''',''',,,'',,,,,,,',,,,,,,;;;;;,,''',,,;;;;;;;;;;;;:;,,,;;;;,,,,,,,,',::;;;;;;::::cccccllccccclloooolcllcccllcllllloool:::cccllc;,''.',,,'';coddxxxkkkxxxxxxxxxxxxxdolooododdddddxxxxxxxxxkxxxkkkkkkkkkkkkkkkkkkOOOOOOOOOOOOOOOOOOOOOOOOOOO0OOOOOOOOO00OOOOOOOOOOOOOOkkOOOkkkOOkkOOOOOOOOOOOOOOOOOOOOOOOOkkkkkkkkkkkkkkkkkkxxkxxxxxxxxxxxdddddddooddoooooooolllloollllllcccccc::;:::;;,'..............................................................''''''''''''..'''.....''''......'''............................................. ...                   . ............ .............................. .....................................             ....................................''''''''''''''',',,,'',,,,,,,;;;;;;,;;;;;;;;;;;;;;;;;;;;,,;;;;;,,,,,,,,,;;;,,;;;;::::::::::::::;::;;;;;;;;;;;;;;;;:::;;;:::::
......................................................................................'''............................',,,,,,,,;;,,,,,,,,;;;;;;;;,'',,,,,,,,,;,,,,,''''..'''',,,,'''''',,,,,,,,,''',','''''''',,,''''',,,,,,,''',,,,,;;;;,''''',;;;;;;;;:;;;;;;;,,;;;,,,,,',,,,,;::;;;;;;:::cccccccclllcclooooolllcccclllllolloodoc::cccllc,,,'''',,,',clddxdxxkkxxxxxxxxxxxxxxxddddoooooooddddddxxxxxxxxxxxxkkkkkkkkkkkkkkOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOkkOOkkkkkkkkkkkkkkkOkkkOOOOOOOOOOOOOOOOOkkkkkkkkkkkkkkkkkkxxxxxxxxxxxdddddddddddoooooooooooollllllcccccc::::::::;;,''................................................................'''.....'''''''''........'''''...'''............................................  ...                       ........  .....................................................................       .........................................''''''''''''''',,,,,,',,,,,,,,,;;,,,,;;;;,,;;;;;;;;;;;;;;;;;;;,,,,,,,,,,,;;;;;;;;;::::;;::::;;;;;;;::;;;;;;;;;;;;;:::;;;:::;:
......................................................................................''............................',;;;,,,,,;,,,,,,,,,;;;;;;;;,',,;,,,,,,,,,,,,,'''''..''',,,,,''''',,,,,,,,,,''''''''.''''',''''',,,,,,,''',,,,,,;;;,'''''',,,,,;;;;;:;;;;;;;;;;;,,,,',,,,,;;:;;;;;,;::cccccccccllllcloooooollcccccllloooloodol:cclcll:,',,'..',,',:codxxxxxxxxxxxxxxxxxxxxxxxxxxddoooooodddddddxxxxxxxxxxxxkkkkkkkkkkkkkOOkOOOOkOOOOOOOOOOOOOOOOOOOOOOOOOOOkOOOOOOkkkkkkkkkkkkkkkkkkkkkkkkkkkkOOOOOOOOOOOOkkkkkkkkkkkkkkkkkkkkkkkkkxxxxxxxxxxdddddddoddoooooooolllllllcccccc:c:::::::;;'...............................................................''...'''.....''''''''''..''...'''''....''............................................   ..                    .. ................................................................................  ...........................................'''''''''''''''',,,,,,,',,,,,,,,,,;,,,,,,,,;;;;;;;;;;;;;;;;;;;;;,,,,,,,,,,;;;;;;;;;;:::;;;;;;;;;;;;;;;;;;;;;;;;;;;:;;::;;;;::;;
......................................................................................''............................';;;;,'',,,,,,,,,,,,,;;;;,,,,,,;;,,,,,,,;,,,,,''.''''''''',,,'''',,,,,,,,',,,,''''''.''''''''''',,,,,'''',,,,,,,,;,,'''''',,,,;;;;;;;;;;;;;;;;;;,,''',,,,,;;:::;;;,;::::ccccc:clllllllooooollccccclllooollooolcccccccc;,''...',,',;codxxxxxxxxxxxkkxxxxxxxxxxxxxxxxddooooooddddxxxxxxdddxxxxxxkkkkkkkkkkkOkOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOkkOOkOOkkkkkkkkkkkkkkkkkkkkkkkkkkkkkOOOOOOOOOOOOkOOkOkkkkkkkkkxxkkkkkkxkxxxxxxxxxxxdddddddooooooooooollllcllccc:c:::::::::;,'.....................................................................''....'''.''''''''...''..'''''..................................................   ..                           ............  ............................................................................................................''''''''''''''',,,,,,,,,,,,,,,;;,,,,,,;,,,;;,,,,;;;;;;;;;;;;,,,,,,,,,,,,;;;;;;;;;;;:::;;;;;;;;;;;;;;;;;;;;;;;;;;:::;;;::;;;;::
.....................................................................................''.............................,;;;;,'',,,,,,,,,,,,;;;;;;,,,',;;,,,,',,,,,,,'''''''''''',,,''''',,,,,',,',,,,''''''''''',''',,,,,,,''',,,,,,,,;;;,''',''',;;;;;;;;;;;;;;,;;;;;;;,''',;;,;;:::;;;;;;::::cccccccllllclloooollllcccclllloooooddolccccccc:,''...',,'',:coxxxxxxxxxxxxxxxxxxkxxkkxxxkkxxxdddddddddddddddddddxxxxxxxxxxkkkkkkkkkkkkOOOOOOOOOOOOOOOOOOOOOOOOOOOkkkkkkOOkkkkkkkkkkkkxxxkkkkkkkkkkkkkkkOOOOOOkkOOkkkkkkkkkkkkkkxxxkkkkkxxxxxxxxxxxxxddddddddoooooollllllllccccccc::::::::;,'......................................................................''''.....''''''''''''....''''''''..................................................  ..                             ..........  ...........................................................................................................'''''''''''''''','',,,,,,,,,,,,,,,,,;,,;;;,,;;;;;;;;;;;;;;;;;;;,,,,,;;;;,;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;::::;;;:::
....................................................................................''.......................'......',;;,,,,,,;;,,,',,,;;;;;;;,,,',;;,,,,,,,,,,,,'''''''''''',,,,'''',''''''',,,,,',''''''''',,''',,,,,,'',,,,;,,,,;;;'''''''',,,;;;;;;;;;;;;;;;;;;;;;,',,,,;;::::;;;;;;:::::cccccllllcclloooollllcccllllllooddddoolcccc:c::,'...',,'..,:ldxxxxxxxxxxxxxxxkkkkxxxxxkkkxxxxxxxxdddodddoddddddxxxxxxxxxxxkxkkkkkkkkkkOOOOOOOOOOOOOOOOOOOOOOOOkkkkkkkkkkkkkkkkkkkxxxxxxxkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkxxxxxxxkkxxxxxxxxxdddxddddoooooooollllllcccccccccc::::::;;,...........................................................................'''...''',,''''.'''....'''''''.....'.............................................  ...                             ......      ....................................................................................................'''..'''''''''''''''',,'',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,;;,;;;,,,,,;;,,,,,,;;,,,;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;:::;;:::
....................................................................................''.......................'......',;;,,,;;;;;,,,'',,;;;;;;;,,,,;;,,,,,,,,,,,',''''''''''',,,,,,''',,,',,,,,,'''''''''''''''''''',,,,'',,,,,,,,,,;;;,''''',,,,,;;;;;;;;;;;;;;;;;;;;;,,,,,,;:;;::;;;;;::::::ccccclllcccllooloolllcccllclllodddddoolcllc:cc:,'...',;'..,:coxxxxxxxxxxxxxxxxkkkkkkxxxxxxxxxxxxxxxddddooooddodddddxxxxxxxkkkxxkkkkkkkkkkkkOOOkkOOOOOOOOOkkkkkkkOOkkkkkkkkkkkkkkkkkkkkxxxkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkxxxxxxxxkkxxxxxxxxxxxxxxxdddddddoooolllllllllcc:ccccc::::::::;,''...........................................................................''''.'''''''''''......''..''...'.................................................  ...                             ....       .....................................................................................................'''...''''''''',''''',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,;;;;,,,,,,,,,,;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;,,;;;;;;;;;::::;;;,
....................................................................................''.............................',;;,,,,;;;;,,,,,,,;;;;;;;;;;,;;;,,,,,,,,,,,,,''''',,'''',,,,,,,,,,,,,,',,,,'''''''''''''''''''',,,'',,,,,,,,,,,;;;,,'''',,,;;;;;;;;;;;;;;;;;;;;;;,,,;,;;;;;;;;;;;;::::::cc:ccccllcccloooooooolcc:clllllodddddoollllc:ccc;'...',;'..,;:odxxxxxxxxxxxxxxxxxkkkkkkkxxxkkxxxxxxxxdxdddddooooddddddxxxxxxxxxxxkkkkkkkkkkkkkkkkkOOOkkOOOkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkxxkkxxkkkkkkkkkkkkkkkkkkkkkkkkkkkxxxxkkkkkxxxxxxxxxxdxxxxddoddddooolllllllllcccccccc::::::;;,,...........................................................................''''''''''''''''''''.....''....'..'.................................................  ...                         ..........................................................................................................................'''''''''''''',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,;;;,,,,,,,,;,;;,,;,,,;,,,,;;,,,,;;;;;;;;;;;;;;;;;;;;;;;;,,,;,;;;,;;;;;;;;;;;;,,,'..
....................................................................................''............................'',;;,,,;;;,,,',,,,;;;::;;;;;;,,;;,,',,,,;;;,,,,'''',,,'',,,,,,,',,,,'''',,,,,''''''''''',,''',,,,,''',,',,,,,,,,;;,,,,'''',,;;;,;::::;;;;;;;;:;;;;,,,,,;;;;;;::;;;;:::::::cccclllllcclloooooolcc::cllllooddxxxdolllcc:ccc:,'''',,'.',;:lodxxxxxxxxxxxxxxxxkkkkkkkkkkkkkkkkkxxxxxxxxxxdddddddddddddddddxxxxxxxkkkkkkxkkkkkkkOOOkkkkkkkkkkkkkkkkkkkkkkkkkkkkkxxxxxxxxkkxkkkkkkkkkkkkkkkkkkkkkkkkkkxxxxxxxxxxxxxxxxxxxddddddxddddddollllllllccccccccccc:::;;,'''''...........................................................................'''''''''''''''''.........'''.''...'''..............................................  ...                         .....   ...............................................................................................................'''''''''''''''''',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,;,,,,,,,,,;;;,,,;;,,,,,;;;;;;,,,;;;;;;;;;;;;;;;;;;;;,,,,,,;;;;;;;,,,'''''.........
....................................................................................'''..........................'',;;;,,;;;;,',,,,,,;;;;:;;;;;;;,;,,,,,,,;;;,,,,,'''',,'',,,,,,,,,,,,,,,,,,,,,''''''''''',''''',,,'''''''',,,,,,,,,,,''''''',;;;,,;:;;::;;;;;;;;;;;;,,,,,;;;;;;::;,;;::::::ccccclccllcclooooooollcc:cloloooodxxxdolllcc:ccc:;,'',,,'.'',;loodxxxxxkxxxxxkxkkkkkkkkkkkkkkkkkkkxxxxxxxxxxxxxxxddddddddddddddddxxxxxxxkkxxxxkkkkkkkkkkkkkOkkkkkkkxkkkkkkkkkxkkkxxxxxxxxxkkkkkkkkkkkkkkkkkkkkkkkxxxxkxxkxxxxxxxxxxxxdxxxddddddddddddooollllllccccccc::::c:::;,'.....''...........................................................................'''''''''''''',''..........''''...''''.............................................  ...              .          .....   ...    ..............................................................................................'......'''''''''''''''''''''',,,,'',,,,,,,,,,,,,,,,,,,,,,,,,,,,;,,,,,;;;;;;;,,,,,,,;;;;,,,,,;;;;;;;;;;;;;;;;;;,,;;;;;,,''''.................
....................................................................................''....'......................'',;;;,,;;;;,',,,,,,;;;;;;;;;;:;;;,,,,,,,;;,,,,,,''',,,,'',,,,,,,,,,,,,,,',,,'''''''''''',''''',,,',''''',,,,,,,,,''',,''',,,;;;,,;::::::;;;;;;;;;;;,,,;,;;;;;::;;;;;::ccccccccccclllccloooooooolcc:cllloooodxxxdollllccc::::,'',,,..''',cooddxxxxkkxxxxkxxkkkkkkkkkkkkkkkkkkxxxxkkkkkkkxxxxxxxxddooooddddddddddxxxxxxxxxkkkkxkkkkkkkkkkkkkkkxxxxkxxxxkxxxxxxxxxxxxxkkxxxxxxkkkkkkkkkkkxxkkxxxxxxxxxxxxxxxxdddxxxxddddoddddodoooooollllccccccc::::::::,,'''....'''...........................................................................'''''''',''''''''.............'...'''''............................................  ...              ..         .....   ....... .....................................................................................................'.'''''''''''''',,,,,,',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,;;,,,,;,,,,,,,,,,,,,;,;;;;;;;;;;;;;;;;;;;,,,,,,'........................
....................................................................................''...........................',,;;;,;;:;;,',,,,;;;;;;;;;;;;:;;;;,,,,,;;;;,'',,'',',,,,,,,,,,,,,,,,,,',,,,,,''''''''''''''''',,''''''',,,,,,,,;,''',,,',,,,;;;,',:::;::::;;;;;;:;;,,,;;;;;;;::;;,;::ccccccc:ccllllccclooooooooc:::clllloodxxxxddolllcc:::::;;,;;,'.''',:lloddxxkkkxxxkxxxxkkkkkkkkkkkkkkkkkkxxxkxxkkxxkkkxxxxxxxdddddddddddddddddddxxxxxxxxxxkkkkkkkkkkkkkxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxkkkkxxxxxxxkkxxxxxxxxxxxxdxxxxxddddxxddddooodddoooollollclccccc::::::::;;,,'''''..'''''...........................................................................''''''''''''''''''...................'''..........................................  ...                           ..... ............................................................................................................''''''''''''''''',,,',,,,,,,,,,',,,,,,,,,,,,,,,,,,,,,,,,,,,,,;;,,,,,,,,,,,,,,,,,;;;;;,,;;,,,,'''''...................................
...................................................................................'''..........................'',;;;;;;;:;,,,,,,,;;;;;:::;:;;;;,,;,,,,;;;;,,'',,,,',''',;;;;;,,,,,,,,,,,,,,,,''''''''''''''''',,'''',,',,,;,,,,,,''',,,',,;;;;;,,;:::;::::;;;;;::;;,,,,,;;;;;;:;;,;:ccccccccccclllllccclooooooolc:::llloooxxxxxddolllcc::;;;::::;,'''',,:cloodxxxkxxxkkkkkxxkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkxkkkkxxxxxxddddddddodddddddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxdxxxxxdxdddddddddddddddddddoddodooollllcccccc:::::::;;;;;;;,,,''''.'''''''...........................................................................'''''''''''''..''...................'''''.........................................  ..                         .......   ....   .............................................................................................''....'''''''''''''',,,,,,,,,,,,,,,,''',,,,,,,,,,,,,,,,,,,,,,,,,,,,;;;;,,,,,,,,,,,,;;;,,,,,''''............................................
...................................................................................','....'.....................',;;;:;;;;;;,,,,',;;;;::::;;::;;,,,;;;,,;;;,,'',,''',,,'',,;;;;,,,,,,,,,,,,,,,,'''''''',,,'''','','''''''',,,,,,,,,''',,,,,,;;;;;,,;::;;::::;;;;;::;,,,,,,;;;;;;::;,;:::ccccccccclllllcclooddoooolcc::collodxkxxdddolllccc:;;;;:c:;,,'',,;::lollodxkkkkkkkkkxxxkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkxkkkkxxxkxxxxddxxdddddddoddddddddxxxxxxxxxxxxxxxxxxxxxxxxdxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxdddxxxxxxddddddddddddoddddddddoooolllllcccc:cc::cc:::;;;;;;;,',''''''''''''..''.......................................................................'''''''''''''.......................'''''.........................................  ...                  .     ... ..     .    ..............................................................................................'''..''''''''''''''',',,,,,,,','',,,,,',,,,,,,,,,,,,,,,,,,,,,,,,,;,,,;;;,,,,,,,,''''''...............................  .................. .
...................................................................................','.........................'',;::;;;;;;;,,,'',;;;;::::::::::;,,;;,,,;;;;,,',,''',,,,,,;;;;;,,;;;,,,,,,,,,,,'''''''''''''',,''''''''''',,,,;,,,,''',,,,,,;;;;;,,;:::;::::;;,;;::;;,,,,,;;;;;:::;;;:::cccccccclllcccccloddooooolcc::clllloxkxxdddoollccc::;,;:c:;,,'',,,;:clcclodxkkkkkkkkkxxkkkkkkkkkkkkkkkkkkkOkkkkkkkkkkkkxxkkkkkkkxxxxxxxxxxxdddodddddddddddxdddddxxddxxxxxxxxxxddddddxxxxxddddddxdxxxxxxxxxxxddxxxxxxxddxxdddddddddddddoodddoooooollllllllccc::cc::c:::;;;;;;;;,'''''''''''''''''...........................................................................''''''''......'........................'.......................................  ..                          ......   ..  ..................................................................................................''..'''''''''''''',''''',,,,'''',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,''''...............................................................
...................................................................................','.........................',;:::;;;;:;,,,,'',;;;;:::::::::;;;;;;;;;;;;,,,'',,',,,,,,;;;;;;,,,;,,,,,,,,,,,,''''''''''''',,,,,,''''',,,,,,,,,,,,''',,,,,,,;;;;;,;;:::::;::;;;;::;;,,,;;;;;;;::::::::ccccccccclolccccloooddoooolcc::loolloxxxdddooollllc::;,,:::;,,,'',,:::ccclloxxkkkkkkkkkkkkkkkkkkkkkkkkkkkkkOOkkkkkkkkkkkkkkkkkxkkkkkkxxxxxxxxxxddddddddddooddodddddddddddddddddddddddddddddddddddddddddddddddddxddddddddddddddddddddddooooooooolllllllllcccc::cccc:::::;;;;;;;,,,,,'''''','''''''''...........................................................................'''........................................................................... ..                 ..          .... .......................................................................................................''''''''''''''''''''''',,,,,,,,,,,,,,''''''','''''''...................................................................... ......... ....
...................................................................................,,'.........................';:c:;;;;::;,,,'',;;;;::::;;::::;;;;;;;;;;;;,'',,,,,,,,,,,;;;;;;,,;;,,',,,,,,,,,,''''''''''''',,,,,,,,'',,,,,,,,,,'''',;;,'',,;;,,;;;;:::::::::;;;;::;,,,;;;:;;::::::::cccccccccllllccclloddddoodollc::loooloxkdoododolllllc:;;;;:::;;,',,;::ccccclodxkkkkkkxxkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkxxxxxxxxxddddddddddddoooooooddddoooooooooodoooddddooddddddddddddddddddddddddddddooooooooolllllllllllllcccccccc:ccccc:::::::::;;,,,,,''''''',,'''','''.........................................................................................................................................................  ..               ....          ..   .   ...................................................................................................''''''''''''''''''',,,,,',,,,,,''''............................................................. .............   .......................
...................................................................................'''.......................'.,;:c::;;:::;,,'',,;;;;::::;:::::;;;;;;;;;;;,,',,,,,;,,,,,,;;;:;;,;;;,,',,,;;;,,,''''''',,,,',,,,,,,,,,''',,,,,,;,,'''',;;,,,,,;;;;;;;;::::::::::;;;::;,,,;;;:;;:::::;:ccccccccccllccccclooddddoodollc::loolloxkdoddddoollllc:::;;:::::;,,;;;:clllloodxkkxkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkxxxxxxxxxxxxxddddddddooooooodddoooooooooooooooooooooddddddddoooddddddooooodddoooooooooollllllllllcccccccccccc:ccc:::c:::::;;;;;,;,,,'''''''',''',,'.........................................................................'''..............................................................................  ..               ...           ..       ...................................................................................................'''''''''''''''''',,,,,,'',''''.......................................................................  ......  ........................
...................................................................................'''.......................'',;::::;:::;,,''.';;;;;::::::::::;;;;;;;:;;,,,,,,,,,;,,,,,,;;;:;;,;;;,,',,,;;;,,,''''''',,,,,,,,'',,,,,',,,,,,,,;,''''';;,,,,,,;;;;;;;;;;:::::::;;;:::;;;,;;;;;;::::;;::cccccccccllcccclloooddooodollcccclollodxdoddddodolllc::::;;::;::;;;;::clooddddxxxxkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkxxxxxkxxxxxxxddddddddddddodddddooooooooooooooooooooodddoddddooodddoooooooooooooooooooooollllllclcccccccccccccccc::::c:::::::;;;,,,,,'''''''','''''''.........................................................................''....'.......''................................................................  ...                  .  ..      .  .    ... ...............................................................................................'''''''''''''',,,,,,,''''........... .................................................................  ....................  ..........
...................................................................................'''.........................,:::::::c::,,''',;;:::::::::::::;;;;;;:c:;,,,,,,,,,,,;,,,,;;:::;,;;;,,,,,,,,,,,,''''''',,,,',,,,',,,,,',,,,,,',;,''',,;,,,,,,,;;;;;;;;::::::::;;;::c:;,,;;;,,,;:::;;::ccc:::c:cllccclclloooddolodolcccccclolodxolodxddddlllcc::::::;,;:::;::::looddddxxxkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkOOkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkxxxxxxxxxxxxxxdddddddddddddddddddooooooooooooooddooooooooooooooooooooolllllllllllllccccccccccccclcccccccccccc:c::::::;;;,,,,,''''',,,,'',,,'''........................................................................''....'.........................................................................  ....                      ....  . ...   ...................................................................................................'''''''''''',''''....................................................................................................... .. ....  ......
...................................................................................'''.........................,::::::c::;,,'',,;;:ccccccc:::::::;;;;:c:;,,,,,,,;;,,,,,,;;::;;;,;;,,,,,,,,;,,,,,''''',,,,,',,,,,,,,,'',,,,,,,,;,'',;;;,,,,,,;;:;;,,;;:::::::::;;;:c:;,,,;;,,;;::;::::clc::::clolcclcclooodddolodolcccc::loodxxocoxxddddollcc::::cc::;;::cc:::looddddxxxkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkOOOOkkOOOOOOkOOOOkkkkkkkkkkkkkkkkkkkkkkxkkkkkkxxxxxxxddddxxxddddddddddddodoooooooooooooooooooooooolloolllllllllllcccccccccclllllclllllllccllcccccccccc:::::;:;;;,,,,,''',,,,,,,,,,,''..'....................................................................................................................................................  ....              .. .... ..........     ...............................................................................................''''''''''''............................................................. ....................   ............ ....   ...... .... ..........
..................................................................................''''........................';:::::cc:;;,,'',,;;:cccccc::::::::;;;::c:,,,,,,,,,;;,,,,,;:::::;;;;;,,,,,,,,,,,,,,''',,,,,,'',,,,,,,,'',,,,,,;;;,',;;;;,,,,,;;::;;,,;;::::::::::;;:c:;,,,,;,,;:::::::clllc:::clolcllccloooodollodollllc;;cdddxkdldxdddddodoc::c::ccc::::clccccloooodxxxxxkkkkkkkkkxkkkkkkkkkkkkkkkkkkkkkkkOOOOOOOOOOOOOOOkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkxkxxxxxxxxxxxxxdddddddddddddddoooooooooooooooooooolllllllllcclllcccccccccllllllllllllllllllllccccccccc::::::;:;;;,,,,,''',,,;;,,''''''''''...................................................................................................................................................  ....                 . .....  .....  ..  .......................................................................................................................................... .........  .....................................................   ...      ........  .... ....
..................................................................................''.......................'..':c::::cc:;;,,',;;;:::cllccc::::::;;;::cc:,',,,,,,,;;;,,,;::::::;;;;;;,,,,,,,,,,,'''',,,,,,'',,,'',,,,,,,,,,,,;,,,,,,,,,,,,,;;;;:::;;;:::::::::::;;;::;,,,;;;,;::::::ccccccccclllclllcllooooddoloddllcc:::coddxkdldxddddddddl:ccc::cc::cclllcccloodddxxxxxxxkkkkkkkkkkkkkkkkOkkkkkkkkkkkkkkOOkOOOOOOOOOOOOOOkkkOOOOkkkkkkkkkkkkOOOkkkkkkkkkkkkxxxxxxxxxxxxxxxxdxddddddddddddooooooooooooooooooolllllllllclllllllllllllllllllllllllllllllccccccc:::::::::;;;,,,,,,,;;;;;,,,''''''''...................................................................................................................................................   ....                          .............................................................................................................................................. ............................      .................. ............   ........ ...     ................
..................................................................................','.....'................''',:cc:::cc::;,,,;;:::::ccccclccc::;;;;::cc:;,,,,,;;;;;;;,;:::::::;;;;;;,,,,,,,,,,,,'',,,,,,,'',,,',,,,,,,,,,,,,,,,,,,,,'',;;;:;,;:::::;:::;:::::::;,;::;;,,;;;:::::::clccccc:clolcclllclloodddolloxdllccc::coddxkdodxddddddddl:::c::cccccclollclllooddxxkkxxxkkkkkkkkkkkkkkkkOOkOOkkkkkkOOkkkkkOOOOOOOOOkOOOOkkOOOOOOkkkkOOOOkkkOOOkkkkkkkOkkkkkkkxxxxxxxxxxxxxxxxxxxxddddddddddddddddddoooloollooolllllllllllllllllooolllllllllllllccllllllcccccc:::;;;;;;,;,,,,,;;;;;;,,,'''''''''..................................................................................................................................................   ....                  .       ......................................................................................................        ..    ..   .................................................         .......... .. .....................  .. ......    ... ...........
..................................................................................'''.....'............'...''.':cc::ccc::;,,,;;:::ccccccccccc::;;,;:c:::,,,,,,;;;::;;,;::c::;;;;;;,,,,,,,,,,,''''',,,,,,,'',,,,,,,,',,,,,,,,;,,,;;,,'',,;:;;,;:;;;::::::::::::;;,;cc:,,,;;;:::::::clccccccloolcllllclododddolloxdllccc:;:oddxkxoxxdddxddddc;;;:cccllllloooollllooddxxkkkkkkkkkkkkkkkkkkkkkOkkkOOOOOkOOOOkkkkOkOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOkkkkkkkkkkkkkkkkkkkkkkkxxxxxxxxxxxxxxxxxxxxdddddddddddoooooolooolllllllloolloooolooooollloollllllllllllllccccccc:c:::::;;;;;,,,,;;;;;;;,,'''''''''''................................................................................................................................................   ....                          ....................................................................................................          ..    ..   .......     .................................. .. ..  .... ........  .   ......... ........          .....    .............
..................................................................................'''..................'..'''.':cc::ccc:;;,',;::::ccccccccccc::;;,;:c::;,,,,,,;;;::;;;;::cc::;;;;;,,;,,,,,,,,,,''',,,,,,,',,,,,,,,'',,,,,;,,;,,,,;,,,,,,;::;;;::;;;;;::::::::;;;,:cc;,,;;;;;::::::cllllccllollcllllllooodddocloxdllc:c:;codxxxdodxxddddxxdc::;:::clllloooolloolooddxxkkkkkkkkkkkkkkkkkkkkkOkkkkOOOOkOOOOOkOOOkkOOOOOOOOOkOOOOOOOOOOOOOOOOOOkkOOkkkkkkkkkkkkkOkkkkkkkkkkkkkxxxxxxxxxxxxxxxxdddddddddddooooooooolllooooooooooddooooooooooooolllllllllllllllcccccc:cc:::::;;;;,,,;;;;;:;;;,'''''','''''................................................................................................................................................  ....                          ..................................................................................................      .      .        .........    ................................   .  ..  ............   .. .........  ............  .. .....    ........... ..
..................................................................................',''...................'''..,clc::clc:;;,'';::c:::clcccllcc:;:;;:ccc:;;,,,,;;;;::;;;::cccc:::::;,;;,;;;;,,,,,'',,,,,,,,,,,;,,,''''',,,,;;;;;;;,,,,,,,,;;:;;;:c:;;;;:::::c:::;;;:::;,,;;;;:::;:cclllccccllllcllllllloodddolcloddlcc::::codxkkxddxxxddddxdc::::::ccclooddollooloooddxxkkkkkkkkkkkkkkkkkkkkkkkkkOOkkkOOOOOOOOOOOOOOOOOOOOOOOkOOOOOOOOOkkkOOkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkxxxxxxxxxxxxxxxxxdddddddoooooooooooododddooddddoooooooooooooolooollllllllccccccc:cc:::::;;;;,,,,;;;;::;;;,,''',,'''''................................................................................................................................................  ....                           ...........................................................................................         .    .    .      ..  .........  ................................ .......  ........      .... ...........  .........   ...... ..................
..................................................................................',,'.................'.',''.,clc:cllc:;;,',;::ccccllccclllc:;;;::cc:;;;;;;,;;;::::;;:ccccc:::::;;;;,;;;;,,,,,,',,,,,,,,,,;,,;,,''',,,,;;;;;;;;,',,,,;;;;;,,;:c::;,,;::::cc:::;;:cc:;;;:;;::::::cllccccclllllolllloodddddolcloxdlcccc::clodkkxdxxkxdddxxdc::c::ccccloddxdoloooooddddxkkxkkkkkkkkkkkxkkkkkkkOOOOOkkkOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOkkkOOkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkxxxxxxxxxxxxdooooddddddddddddddddddddddddddooooooooooooolllllllcccllccccc:::c:;;:;;;;;;;;::c:;;,,,,,,,,'''.................................................................................................................................................  .....            .     .  ....   ......... ............................................................................            .    .          ..    ..   ......... ..................  ......... .. ..   ..... ... ...................  ........... ....................     
.................................................................................',,''...............'''.',''';cccclllc:;;,',;;:::ccllccllccc:::::c::;;;,,,;;;;;:::;;;:cccccc::::;;;;;;;;;,,,,,''',,,,,,,,,;;,,,,,,',,,,,;;,;;;;,',,,;;;;;,,,;:c:::;,;:::cccc:;;;:cc:;;;:;:c:::::cllccccclllllolllloddddddocccoxdlcccc::ccldxxxdxxkxdddxxdc::cccccccldddddoooooooddodxkxxxkkkkkkkkkkxkkkkkkkkOOOOOkkOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOkkOkkOkkkkkkkkkkkkkkkkkkOkkkkkkkkkkkkkkkkkkkkkkkxxxxxxxxxdddddddddddddddddddddddddddddddddddoooodooooollooolllllcccccc:::::::::;;;;;;;::cc:;,,,,,,,,',''''..............................................................................................................................................  .....            .     .......    ...................... ........................................................                                   .       ........................... ............. .   . ......................  ........  ...... .............  .....       ..
.................................................................................',,'................''..',''';ccccllll:;;,,,;::ccccllcllcccc::::ccc:;;;;;;;;;;::::::;:ccccccccc:;;;;;;;;;;,,,,'',,,,,;;,,;;;,,,,,,,,,,,;;;;;;;,''',,,;;;;;;;;:::;;;;;:::ccc::;;;:cc:;;::::cc:::cllcccccllllloollllodddxollcccoxdlccccccccldkkxddxxxdodxxdc:cccccccclddddddooodooooddxkxxxkkkkkkkkkkkkkkkkkkkkOOOkkOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOkkkkkkkkkkkkOOOOkkkkkkOkkkkkkkkkkkkkkkkkkkkkkkkxxkkkkkxxxxxxxxxxxxxxxxxxxxxxxxxddddxxdddddddddooooooooooolllccllcccccccccccc::::::::::ccc:;;,,,,,,,',,''..............................................................................................................................................  ....                             .........................................................................                         .               ....    .......''............................  ......  ......  ................    ............  ..............................
.................................................................................',,''...............,'..',''';c:::cloc::;,,;:::cccllllllllccc::cccc::;;;;;;;;:::::::::ccllccccc::;;;;;;;;;,,,,,',,,,;;;,;;;;;;,'',;;,,,,;;;:;;,''',;;,;;;;;;:::;,,;;;::::ccc::;;::c:;:::::cc:;clllccc:clllllollllooooddlccccldxoc;:::cc:cldkkxodxxxdodxxdlcc:ccccclodddxxdooddddddddxkkxxkkkkkkkkkkkkkkkkkkOkkOOkkkOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOkOkkkOOOOOOkOOOOkkkOOkkkkkkOkkOOOOkkkkkkkkkkkkkkkkkkkkkxxxkkxxxxxxxxxxxxxxxxxxxxxdxxxxxxddddddoddoooooooolllllllllllcccccccc::::::::::ccc:;;;;,,,,,,,,,'..............................................................................................................................................   ..                              .... .. ................................................................                         ...                ...   .........'...........................  ................       .....  ......   .........   ....  ........... ...........
.................................................................................',,,'..............','..','',:c::ccool::;,,;::ccclllllllllccc:ccll::;;;;;;;,;::ccccc::cclclcccc:::;;;;;;;;;,,,,,,,',,;;,,;;;;,,,,,,,;,,;;,;:;,,,',;;;;;;;;;;:::;,,;;:::::cccc:;::cc:;::::ccc::cllcccc:clllllollllododdolcccccdxoc::::cc:cldkkxdxkkxdodxxdlcc:cccccloddxxxddodxddddddxkxxkkkkkkkkkkkkkkkkkkkkkkOkkkkOOOOOOOOOOOOOOO0OOOOOOOOOOOOOOOOOOOOOOOOOOkOkkkkkOOOkkOOOOkkkOOOkkOOOOkkkOOOkkkkkkkkkkkkkkkkkkkkkkkkkkkkkxxkkxkkxxxxxxxkkxxxxxxxxxdddddddddooooooooolooollllllllllllccc:::::;::cccc::;;;,,;,,,,,,'....................................................................................................................................................                            ..... .. ................................................................                                    ....    ..    ............... ................................... ....      .....  ......   ...........  ....  .........  ...........
.................................................................................',;,'...........'..','..','',:c:ccloolc:;,,;ccccclllllllllccccccllc;;;;;;;;,;::ccccc:cccccllcccc:;;;;;;:;;;,,,,,,,,,;;;;,;;;,,,,,,,,;,;;;,;:;,,,,,;;,,,;;;;:::;;,;;:::c:::cc:;;::ccc:::::cc::ccllc:ccccccllllllloddddolcccccldxdc:::ccccccokkxdxxkxdodxxdlcccccccclodxxkxxdddxddddddxkkkkkkxxxkkkkkxkkkkkkkkkOkkkkOOOOOOOOOOOOOOOO0OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOkkkOOOkkOOOOOOOOOkOOOOkkkkOOOOOOOOkkOOOOkkkkkkkkkkkkkkkkkkkkkkxkkkkkkkkkkkkxxxxxxxxxxxxxxxddddoooooooooooolllllllllllccccccc:::cccccc:;;;;;;,,,,,,'.....................................................................................................................................................                           .........................................................................                    .                .......    ...... .... ......... .....   ... ........    ....... ......   ..............   .........................................
.................................................................................';;,'..........'''..,'..','.';c:clllllc:;,;:ccclllllllllllclllclllc::;;;;;;,,;::c:cc:cllllllcccc:;::;;;;;;;,,,;;;;,,;;;;;,,,;;,,,,,,;;;;;,;:;,,,,,,,;,,,;;;:::;;,,;;::c::::::;;::ccc:::cccc:clcccccccclllloolllooddddlccccccldxoc:::ccccccokkxxxxkxoodxkxlccc::ccllldxxkkxddddddddddxxkkkkxxkkkkkkkkkkkkkkkkkkkkOOOOOOOOOOOOOOOOOOOOOOOOOO00OO00OOOOOOOOOOOOOOOOOOOOOOOOkkkkOOOOOOOOOOOOkkOOOOOOOOOOkkkkkkOkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkxxxxxxxdxxxddddddooooooooooolllllllllllcccccccccccccc::;;;;;;,,,,'''''...................................................................................................................................................                          .........................................................................                                       ...       ..........................  .... ........    ................. ........... .......... ............................. ....
..............................................................................  .',;;'...........,,..''.',,'',;c:clllllc;;;;:cccclllllclollclllllol::;;;;;;;,,;:ccccc:clllllllccc:;::;;;;;;;;;,,;;;,,,;;;;;;;;;;,,,,,;;;;;;;;,,,,,;;,;,,;;;;;:;;;,,,;;:::::::c:;;;:cc::::cc:cllcccccccccooolllcloodxxoccclcccoddo:::;cccc:coxkkxxxxxdloxkxl:cc::cllcloxxkkxxdodddddddxxxkkkkkkkkkkkkkkkkkkkkkkkkkOOOOOOOOOOOOOOO00OOOO00000000000OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOkOOOOOkkOOkOOOkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkxxxxxxxxxxxxddddddddooollooolloooollllllcccccccccccccc::;;;;,,,,,,,,,'''.'......................................................................................................................................... ..... .                        .........................................................................                               .              .......   ........  ..';,'.............................   ......   .................  ..................... .....  .....  .
.................................................................................',:;'...........''.','.''''',:ccclllll:;,,;:cccccllllllollcllllllc:::;;;;;;;;::cllcc:clllloollcc:;:::;;;;;;;,,,;,,,,,;;;;;;;;;;,,,,,;;;;;;;;,,,,,;;;,,,;;::;;;;,,,,;:::::::cc:;;;:cc::::c::cllcccccllccloollccloddxdlclcccccoddl::;;:cc::coxxkkkxxxdooxOxl:cc:clccclodxxxxddooodddddxxkkkkkkkkkkkkkkkkkkkkkkkkkkkOOOOOOOOOO0OO000OOOO0000000000OO00OOOOOOOOOOOOOOOOOOkkOOOOOOOOOOOOOOOOOOOOOOOkOOOOOOOOOOOOOkOOkOkkkkkkkkkxkkkkkkkkkkkkkkkkkkkxkkkxxxxdxxxxdxxdddxddddoooooooooooooolllllllllllllllc:ccc:::;;,,,,,,,,'''''''..............................................................................................................................................  ....                     ....... .................................................................                          .                 ......      ...... .   ....''............................  .......  ..   ..............  ......... .........    .............
...................................................................'..............';:,......'....''.';'..'''',:lcllolllc;;,;:cccccllollloolcllllool::::;;;;;;;:cclllcccclllooollcc:::;;;:;;;;;,,;;;;;;;;;;;;;;;;,,,,;;;;;;;;,,,,,,;;;;;;;;:;;;;;,,',;:::::;:ccc:;;:ccccccccccccc::clllcloollcccldxkdllclc::ccodol::;,:ccc::lxkkkkxxxdloxkkocc:ccccccloodxxxddooooddddxxkkkkkkkkxkkkkkkkkkkkkkkkkOOOOOOOOOOOOO0OO00000000OOO00000OO00OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOkOOOOOkkkkkOkkkkkkkkkkkkkkkkkkkkkkkkkkxxxxddxxxdxxddddddddooooooooooooooloollllllllllllc::cccc:;;;;,,,,,,''''''''...............................................................................................................................................   ....                  .........................................................................                          .          ..      .  ..      .................................................   ......  .............................. ........... ..    ....
................................................... ...............''.............';:,......'.......','..'''',:llloooll:;;,,;ccccclolllooollllloodlcccc:;;;;;;:cclollccclllooollcc:::;;:::;;;,;;;;;;;;;;;;;;;;;;;,,,;;;;;;;;;,,,,,,,,;;;;;;;,,;;,,,;::::c:;:ccc::;:ccccclcclcc::::clllclllllccloxkxo:ccc:::ccddoc:;;;:cc:::lxkkkxxkxoloxkkdlc:cc::ccclodxxxddolloodddxxkkkkxxxkkkxkkkkkkkkkkkkkOOOOOkkOOOOOOO0OO0000000000000000OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOkkkOOOOkkkkkOOkkkkkkkkkkkkkkkkkkkkkkkkxxxxxdddxxxxxxddddddddoooooooooooooolooolloolllllllccccclc:;::;;,,,,,,'''''''........................................................................................................................................  .....      ...                 ........  .   ..........................................................                          .......    .   ........ .......... ...................',,..................... ..... ...  ... .........................  ............      ....
....................................................................'..............;c:'.....'.......''...''',;:loooooll:;;,,:ccccclllllllolllllloolc:::;;;;;;;::clollccllllooollcc:::::::::;;;;;;;;;;;;;;;;;;;;;;;,,;;;;;;;;;,,,,,,,,;;;;;;,,,,,,,,;::::::;:ccc::;:cccccccclc::::cllcclllccccloxkkdc:cc::;:clddlc;;;;:c::::lxkkkxxxxoldxkkdlccccccc:clodxxxxdocloodddxxkkkkkkkkxkkkkkkkkkkkkkkkkkOOOkkOOOOOOO00000000000000000O000OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOkkOOOOOkOOOkkkkkkkkkkkkkkkkkkkkkkkkkkxxxxxxxxxxxxxxxddddddoooooooooooooooooooooooollllllccccclc::;;;;,,,,,,''''''''.............................................................................................................................................         .               ..........   .. ..........................................................                            ... .       ...................  ...... ................................. .......  ...  ...  ................... ..... ...  .................
...................................................................................;c:,............'''...''',;:lllooool:;,,;;:cclllllllllooollllllc::::;;;;;;::cclollcllllloooollc::c::::::;;;;;;;;:;;;;;;;;;;;;;;;;;;;;;;;;;,,,,,,;;;;;;;;,,,,,,,,;;;::::;::cc:;;::ccccccllc::::cllcclllccccoxxxxo::lc;;;:clddlc;;;;:cc::clxOOkxxxxoodxxkdlcccccc:cclodxxxxxocloodddxxkkxkkkkkxkkkkkkkkkkkkkkkOOkkOOkOOOOOOO000000000000000000000000OOOO0OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOkkkOOOkkkkkkkkkkkkkxkkkkkkkxxxxxxxxxxxxxxxddxxdddodddoooooooooooooooooooolllllccccclc::;;;;;,,,,,''''''''''..........................................................................................................................................            ...   .      ...........................................................................                       .                 .. ..............  ..................................... ..............    ....  .....  .......   .......................'''''''
...................................................................................;l:,'....'.......'''....',;:ccllolllc:;,;;:cccllloooooooooolollccc::;;:;;;:ccclooolcllllodoollc:ccc::::::;;;;;;;::::;;;;;;;;;;;;;;;;;;;;;,,,,,;;;;;;;,,;;,;,,,,,;:;:cc:::ccc:;:::clllclllc::::cccccllccccldxxdocccl:;;;:lddocc;;;;:ccc:clxOkkxxxdoodxxkxoc::cc:ccllodxxxxdolloodddxxxkkkkkkkkkkkkkkkkkkkkOOOOOOOOOOOOOOOOO0000000000000000000OO000000000O000OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOkkOOOkkkkkkkkkkkkkkkkkkkkkkkkxxxxxxxxxxxxxxxxdddddoooooooooooooooooooooooollllllcccc::;;;;;;,,,,,,,,''''''''..........................................................................................................................................            ...       ....................    .....................................................                                   ...      ........  .....   ...................................................   ..   .............................''''''''''''',,,''
................................................................................. .;lc;''...''.......''''''',;:ccllolllc::;;;:::ccllloooooooooloollcccc:;:;;;:clllllllclllldddolll::ccc:::::::;;;;;;::::;;;:;;:;,;;;;;;;;;;,,,,,,,;;,;;;,,;;;;,,,;;::::c:;::cccc:::cclllllcc:;;:clc::clccccloxkxlccclc:;;::lddl::;;;;:ccc:clxkxxxxkdoddxxkkol::::::clllodxxddollooodddxxkkkkxxkkkkkkkkkkkkkkkkOOOOOOOOOOO00OOO00000000000000000000000000000000000OOOO0OOOOOOOOOOOOOOOOOOOOOOO0OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOkkkOkkkkkkkkkkkkkkkkkxxxxxxxxxxxxxxxdddddddddooooooooooooooooooooooooolllllcccc::;;;;;,,,,,,,,''''''''''.................................................................................................................................   .....           ...       ..... ....   ..  ...   ......................................................                                      ..   ............. ...  .... ................ ..................... ..........................'''''','','',''''''',''''',,'''',,,,
...................................................................................,cc;'....''....'.....''',,,:clllllllc:;;:::::cclloooooollloooolc:cc:::::;;;clllllolllooloddollc:cccc::::::::;;:;;;:::::::::::;,;;;;;;;;;,,,,,,,,;;;,,,,;;;;;,,;;:::::;;::ccccc:::clllllc::::cllc:cllccclddxxolllccc;,;:coddl::;;;;ccc:::oxkxxxxkxddddxkkxocc::::cllcodddddollloooodxxkkkxxxkkkkkkkkkkkkkkkOOOOOOOOOOOOOOOOOOOO00000000000000000000000000000000O0OOOOOOOOOOO000OOOOOOOOOOOO0OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOkkkOOkkkkkkkkkkkkkkkkkkkkxxxxxxxxdddddddxdddddddoooooooooooooooooooooooolllcccc::;;;;,,,,,,,,,,'''''..''.................................................................................................................................   .......          ...... ............  ........ ........................................................                              ..           .............  .   ....  .................................. ..................'''''''''''',''',,'','''''''',,''''',,,''',,,,,
...................................................................................':c:,'................',,,,:lolcclllc:;;::::ccclloooddollloooolccc::;;:;;;;:cllllolllollodddolcccccc:::::::::::;;;:::::::::c:;,;;;;;;;;;,,,,,,,,;;;,,,,,,,;;,;;::::;;;;::clccc:;:cllllc::::cclccccllccldxxdolllcccc;,;:coxdl:;;;::cc::::oxxxxxxkxodddxkkxoc:::::cllllodddolllooooodxxkkkxxkkxxxxkkkkkkkkkkOOkkOOOOOO00OOOO00O00000000000000000000000000000000OOOOOOOOOOO000000OOOOOOOOOOOO0OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOkkkkkkkkkkkkkkkkkkkkxxxxxxxxxxxdddddddddddddooooooooooooooooooooooololccccc::;;,,,,,'',;,,'''''.....................................................................................................................................  ....  ...         ...... .... .......  .....    ........................................................                            ...  ...       ........ ....  .   .... ...........................................'''''''''''''''''''''''''''''''''''''''''''''',,,'''''''',
....................................................................................':c:,................',,,';lollllllc:;;::::cclllloooddolloooolccc::;;;;;::ccllllloooooloooooolccccc::::::::::::::::::::::::;,,;:::;;;;;;,,,,,,,;;;;,,,,;;,,;;::::::;;;::llcc:;;:clllc:;;:clc:cclccccldxxdocllc::c::;:cldxoc:;;:::cc:::clxxxxxkkxoddxxkkxolc::::ccllllodddlclllloodxxkkkxxxkkxxxxxkkkkkkkkkkOOOOOOOOO0OOO0000000000000000000000000000000000000000OO00000000OO00OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOkkkOOOkkkkkkkkkkkkkxkxxxxxxxxxxxddxddddddddddoooooooooooooooooooooooooolccc::::;,,,,,,,,;,,,'''''....................................................................................................................................   ...    ...          ..... ..  ......   . ....  ....  ..................................................                            .      .         .......  .........  ..........   ......................'',,,,,',,,,,,,''''''''''''''''''''''''',,',,,''''''''''',,,,,,,,,,,
.....................................................................................,cl:.................',,',coooolllc:;,;:::cllllllloddolllooollcc::;;;;;::ccllllllllodooooodolcccccc:::::::::::::::::::::::;;;;::;;;;;;,,,,,,,,,;;;;;,,;;;;;::c:;;;;;;::cclc;;:llll::;;;:clc:clcccccodddolcll:::cc::::ldxo:;,;::::::;:cldxxxxkkxoodxkkkkdlc:::::cccllodddlllllllodxxkkkxxkkxxxkkkkkkkkkkkOOOOOOOOOOOOO0000000000000000000000000000000000000O0000O0000000OOOO00OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOkkkkkkkkkkkkkkxxxxxxxxxxxxddxxddddddddddoooooooodooooooddooooooolccc::::;;;;;,,,,;,,,,'.'','..'.................................................................................................................................. ....   ..            .....   .......  .   ............................................................                        ..        ..         .......   .....      .....   ............'''',,,,,,''',;cl:,,,,,,,,,,,,,''',,,'''''',,,,,'''','',''''',,,'',,'',,,,,'',,,,,
.....................................................................................'coc'.............'...,,,,:looolllc:;,;;::cllllllloddollloooolc::;;;;;;::clllllllllodddooodollccccccc:ccc::::::::::;::::::;;;:::;;;;;;;,,,,,,,,;;;;;;,,,,;;:::::;;;;:::cclc;;coooc:;;;;:ccccllccccloddollooc;;:c::::cldxo:,,;:::cc:::lldxxxxxxdooodxkkkdlcc:c::cclllodddollllllodxxxxxxxxxxkkkkkkkkkkkkkOOkOOOOOOOOOO0000000000000000000000000000000000000OOO000000000OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOkkkkkkkkkkkxxxxxxxxxxxxxxxdddxddddddddddddddddoodooooooooooooolllllcc:::;;;,,,,,,,,,,,,'.'''...'................................................................................................................................  ....                 .....  .......   ..   .............................................................                       .    .    .          . .......  ...  ....................''',,,',,,,,,,,,';:lxl,,,,,,,,,,,,,'''',,,''''',,,'''''''''',''''',,''',,,,,,,''''',,,
.....................................................................................':lc,.............'...',,,:cloollcc:;,;;:ccllllllloddollooooolcc::;;;;;;:ccllllllooodddoooooollccccccccccc:::::::::::::::c:;;:::::::;;;;;,,,,,,,,,,;;:;,;;;::::;;;;;::clll:,;coooc:;;:::cccllc:cllooolcclol:;::::::ccodol;,;;;::cc::cloxxxxxxddododxkOkxolc:::::clllldxdlcllcclodxxxxxxxxxxkkkkkkkkkkkkOOOOOOOOOOOOOOOOOO0000000000000000000000000000000000OO00000000OOO0OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO0OOOOOOOOOOOOOOOOOOOOOkkkkkkkkkkkkkxxxxkxxxxxxxxxxddxxxdddddddddddddddoooooooooooooooooolllcccc::;;,,,,,,,,,,,,''''''..'......................................................................................................................................        ..       ...... ........ ...   ...........................................................                                   ......... .............................''''''''''',''',,,,,,,,,,,,;:;,,,,,,,,,,,''''''',,,,,,,,,,,,'''''''',,''','''''',,,,,,,,,,,,,,
......................................................................................,:c:'................',,,;:cooolc::;,,;::clllllllooolclooooolcc::;;;,;;:ccclolllllodddooooooolccccccccccc:c::::::::::cccc:;;::::c:;;;;;;;,,,,,,,,,;;:;;::;;:;;;;;;;::cllc:;:llllc:;::cccclllc:cloolcccloll:;:c:::ccloolc;;;;;:ccc::cloxxxxxxddoooxkkOOxdl:::;;:cclllddocclc:cloddxxxxxkkxxxxkkkkkkkkkOOOOOOOOOOOOOOOO000000000000000000000000000000OOOO0000O000000000O0OOOO00000OOOOOOOOOOOOOOOOOOOOOOOO00OOO000OOOOOOOOOOOOOOOOkkkkkkkkkkkkkkkxxxxxxxxxxxxxxxxdddddddddddddddddddoddooooooodoooooollccc::::;;,,,,,,,,,,,,'''''''''......................................................................................................................................    ... ..   ..  .....................   . .....................................................            .       .                 .......................'''''''''''''''''''''''''''''',,,,,,,,,,,,',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,'''''''''''''',,,''',,,,,,,,,,,,,
...........................................................................''.........';:c;'.............'.',,,;:coolcccc;,,;::ccclllllloolclloodolcc::;;;,,:::cclollllloddoooooddolcccccccccccccc::::::::ccccc:;;:::cc:;;;;;;:,,;;;;,,,;;;::::::;;;;,;;;::cllc:::clllc;;:c::clllccclodol:cllllc;;::::ccllolc:;,,;:cccc:;cldxxxxxxdooooxkOOOxdl:::;;:cccllodolllc:ccoxxxxxxxxxxxxkkkkkkxkkkOOOkOOOOOOOOOO00000O00000000000000000000000000OOO000000000000000000OOO00000OOOOOOOOOOOOOOOO0OOOOOO00OOOOOO000OOOOOOOOOOOOOOOOkkkkkkkkkkkkkkkxxxxkkkxxxxxxxddddddddddddddddddooooooooooddooodoollllc:::::;;;,,,,,,,,,,''',,''''........................................................................................................................................   ......  .. ... .....................  ......................................................                   .            ..................'..'.....'''''''''''''''''''''''''',,''',,,''',,,,'',,;,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,''''''''',,,',,,,,,,,,,,,,,,,,,,,
............................................................................'..........':c:,...............',,,;:coolcccc:,';:::cclllooooollcllodolcc::;;;,,::::ccllllllodddoooddoolccccclllllcccccc:::cccccc:::::::ccc:;;;;;;:,,;;;;,,,,;;:c::c:;,;;,,,;::cccc::cclll:;;cc::colccccoddocccllllc;;::;:cclooc::;,,:cccc:;;codxkxxxdoooooxkkOkxdo::::::cccllodolllcccloxxxkkxxxxxxxxkkkkkkkkkkkkOOOOOOOOOOOOO000OOO000000000000000000000000OO00000000000000000000OO00000OOOOOOOOO00OOOO000OO0000OOO0OOOO000OOOOOOOOOOOkOOOOkkkkkkOkkkkkkkkxxxxkkxxxxxxddddxddddddddddddooooooooooddddooddoollllc::::;;;;;;;,,,,,,,,'.'','''..........................................................................................................................................   ..................................  .......................................................                  .   ...................''.''..''''''''...'''''''''.''''''''''''''',,,'',,,,,,,,,,'',,,,,,,,,,,,,,,,,,,,,,,,,,,,',,''''','''',,,,'',,,,,,,,,,,,,,,,,,,
........................................................................................,cc:,...............,;,;;coollccc:,,;::::cllllooooolcllooolccc::;;;;;:cccclloooooddddooddoolcccccclccllcccccc::cccccccc:;;:ccc::;;;;,;;;;,,;;,,,,,,;::::;,,,;;;;;:::ccc::cclcc:;::::cclllllloolcccclllc:;:::;:lloooc::;,,:cccc:,;codkkkkkdoolldxkkkkkxoc:::::cccllodolcc::cloxxxxxxxxxxxxxxkkkkkkkkkkOOOOOOOOOOOOOOO0000O0000000000000000000000000000000000000000000000000000OOOO00OOOOOOOOOO00OOOOOOOOOOOOOOOOO0OOOOOkOOOOOOOOOOOkkkOkkkkkkkkkxxxxxkxxxxxxxxxdddddddxxddddddddddddoddddddooooooollllcc:::;,,,;:;;;,,,,,,,''''''''''................................................................................................................'........................    .................. ............. ......................................................                    ................'''''''''''.''''''''''..'''''''''.'''''''''''''''''''''',,,,,,,,',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,''',,,',,,,,,,,,,,,,,,,,,,,,,,,,,
.........................................................................................:lcc,..............',,,;:llllccc:,,;;;::clcclloooollllooolccc::;;;;;:cccccllllooooddooodddollccclllllollcccc::ccc::ccc:;;:cccc:;;;;;;;;;;;;;,,;;,,;::::;,,,;;;;;:::ccc:::clc::;::::cccllllllcc:cccllc:;;::::cooool::;,,;:ccc:;;:loxkkkkxolloodxxkOkkxdcc::::cccllodolcc::cloxxxxxkxxxkkkkkkkkkkkkkkkOOOOOOOOO00OOOO000000000000000000000000000000000000OO000000000000OOO00000OOO000000OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOkkkOOOOOOOOOOOkkkkkkkkkkkxxkkxkkxxxxxxxxxxdddxddddddddddddddddooodddddooooooollllcc::;,'',;;:;;;,,,,,''''''''''''........................................................................................................................................   ............ ............................................................................  ..         .....................'''''..''''..'''....''''''''''''''''.''''''','''''''''''',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,'',,,,,'',,,,,',,,,,,,,,,,,,,,,,,,,,,,
.........................................................................................;llo;..............',,,,:cllccclc;',;;;:cccclloooollclodolccc:;;;,;;:cccccllllooolodooodddollllllllllollccccc:ccc::ccc:;;;::cc::;;,,,,;:::;;,,;;;;;:::;,,,,;;;:::ccccc:::clc:;;;:::cccllllllcc:cclll:;;:c:cclooool:;,,;;:c::::::odxkkkkxocloodxkOOkkxdc:::::cccllodolcc::clodxxxkkxxxkkkkkkkkkkkkkkkOOkOOOOOOOOOOOO00000000000000000000000000000O0000000000000000000OOOO00000OOO0000000OOOOOO0OOOO0OOOOOOOOOOOOOOOOOOkkOOOOOOkkOOOkkkkkkkkkkkkkkxxxkxxxxxxxxxxddxxxdddxxddddddddddddddoooddooooooollllc::;,,''',::;;;,,,,,'''''''''''''''....................................................................................................................................... ......................................................................................... ..    ...........................''''....''..''''...''''''''''''''''''''''''''''''''',''''''',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,''',,,,,,,,,,,,,,,,,,,,,,,,,,,,
.........................................................................................,:ldc..............',,,,;:llccccc;,,;;::cclllloooollllooolcccc:;;;;;:ccllcclllooooodddddddolclllllllooolccccc:cccc:cccc:::::ccc:;;;;,,,;c:,,,,,,;;;::;;,,;;;;;::::::cc:;:clc;;;;;::cclcclllc:::clllc:;;ccccllllloc;,,;::::::;;:codxkkkkxl:ldddkkOOkkxdc::::::ccllooolcc:ccloxxxxxxxxxkkkxkkkkkkkkOOOOOOOOOOOOOOOOOOOO000000000000000000000000000000000000000000000000OOO000OOOOOOO00O000O0OO00OOOOOO000OOOOOOOOOOOOOOOOOOOOOOOOOOOkkkkkkkkkkkkkkkkkxkxxxxxxxxxxxxdxxxxddddddddddddddddoooddooooooooolllc::,,,''',;::;;;;,,,,''',,',''''''......................................................................................................................................................................................................................................................................''''.'''''''''....''''''''''''''''''''''''''''''''''''''''''',,,,',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,
...................................................................................'......,cdl,...............';;;:clllccc:,;::::clllllloollllllooolcccc::;;;;ccllcccloooolodxxdddoolclllllllooolccccclc:clcccccc::::ccc::;;;,,,;:;;,,,,,;;::;,,,;,;;::::;;:ccc:;:llc:::;;::ccccclcc:;::lllc:;::ccclllllcc:,,,::::::;;;:coxxkkkkdc:loddxOOkkxxdlc::::cccclloolcccclodxkkxxxxxxxxxxxkkkkkkOOOOOOOOOOOOOO00OOO00000000000000000000000000000000000000000000OOO0000O000OOOOOOOOO00000OOOO00OOOOOO00O0OOOOOOOOOOOOOOOOOOOOOOOOOOkkkkkkkkkkkkkkkkkkkxxxxxxxxxxxxxddxxxdddddddddddddoodddddddoodooooollcc:;;,'''',;:::::;;,,,,,,,,,,'''''........................''.....................'.........''.....................................''...................''........................................................................................................................................'...''''.'''''''.''......''''''''''.'''.'''''''''''''''''''''''','''',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,'',,,,,,,,,,',,,,
...................................................................................','....';ll;'..............';::;cllllcl:;;;::;:lllllloooollllooolccc:::;;::clllcccloooooodxxxxddolllllllllooollcccclc:clccccccc::cccc:;;;;,,,;;;;,;,,,;:::;,,,,,;::;;;;;::c::;:llc:::::::cccclc:;;:cclcc:;;::ccclloolc:;,;;::::::;;:cldxkkkkkoccloodkOOOkxdolcc::::ccccloolcccclodxxxxxxxxxxxxxkkkkkkkOOOOOOOOOOOOOOOOOOOOOO000000000000000000000000000000OOO000OOOOOOOO00000000000OOOOOO000000OO00OOO0OOO0OO0OOOO0OO0OOOOOOOOOOOOOOOOOOkkkkkkkkkkkkkkkkkkkkkkxxxxdxxxxxxxxxdddddddddddddooodddddddoodooooollccc::;''''',;;::::;;;,'',,,,,,,'''''.......'...''..........................................................................................................''................................... .............................. ......................................................................''...'''''..''......''.'..''''..''.''''''''''''''''''.'''',,,''',,,','',,,,,,,,,,,,,,,,,,,,,,,,,,,;,,,,,,,,,,,,,,''',,,,,,,,,',,,,
....................................................................................''.....,ccc;'..............;::;cooolllc:;;:;;:cllllloooolcllodolccc:::;;;:cllllcccooooooodxxxdddolllcllloooddocccclcccclccccccc:cccc:;;;;,,;;;;;,,,,;:::;,'',;;;:;;;;;:::::;;:ccc:;::::ccllllc;,;::clc:;;;::::cloollc:;,,;:::::;;;:cldkkkkkxoclooodkOOOkxoollc:::::cccodolcccclodxxxxxxxxxxxxxkkkkkkkOOOOOOOOOOOOOOOOOOOOOO0000000000000000000000OO000000OOO000O00000OOO000000000000O00OO00000O000OO0OOOOOOO00OOOOO00OOOOOOOOOOOOOOOOOkkkkkkkkkkkkkkkkkkkkkkkxxxxxxxxxxxxxddxddddddddddddooodddooddddddooolllcc::;,,,'',;;;;;:;;;;,'',,,,''''''''''''''''..''............'........'.......................................................................................................................................................  ...........................................................................'''.'..''.....'''....''''..''''''''''''.'''.''''.'''',;;,''''''''',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,
...........................................................................................';:c:,..............';;:cllllcccc:;;;;::cclllooooocclodolcccc::;;;::cclolcclooooooodxxddoolllllllooodddllcclccccllcllllc:cccc::;;;;,;;;;,,,;;:::;,''',;;;;,;;;:cc:::;;:cc:;;;:::ccllc:;;;;:cclc:;;:::ccclllcc:;;,,;::::;;;;cloxkkkkxolloooodOOOOkdoollc:::::cccoddlcccclodxxxxxxxxxxxxxxxkkkkkOOOOOOOOOOOOOOOOO0000000000000000000000000OOOOO000000O000OO00000OOO000000000000000OOOOO00OO000000O00OO000000OO00OOOOOOOOOOOOOOOOOOkkkkkkkkkkkkkkkkkxkkkxxxxxkxxxxxxxxddddddddddddddddodddoooddddddooolllcc::;,''''',,,,,;;::;;,,,,,,''''',''''''''..................'''......'.................................................................................................................................................. ..........................................................................'....'..'............''''''.'''''''''''''..''''''...'''''''.;cc;''''''',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,
.......................................................................................'...'';ll:...............',:clllc::ccc;;;:;:cclolloooolclodollllc:;;;;;::clollclooddooldxxdddoollllllloodddollccclcclllllllcccccc:::;;;;;;;;,,;:::;,''',,;;,,,,;;;:c:::;;:cc::;;;;:cclc:;,,;::cclc::;;:ccccclllc:;,,;::::::;;;:lddxkkkxocloooooxkkkkkdlllolc:::ccccloolcccclodxxxxxxxxxxxxxxxxkkkkkOOOOOOOOOOOOOOOO0000000000000000000000000OOOOO00000000000000000000000000000000000OOOOO00OO00000000000000000OOO00OOOOOOOOOOOOOOOOOOkOOkkkkkkkkkkkkkkkkxxxxxxxxxxxxxxxddddddddddddddddddddoodddddddooollllc:::;,'.'''';;;;;:::;;;;;;,,,''''''''.''.....................''.............'''.............''..............................................'.................................................................................. ..................................................................'...''..'.............'..''''''''''''''''''...''''''''''''..:ol,''''''''''',''',,,,,,,,,,,,,,,,,,,,,,,;,,,,,,,,,,,,,,,,,,,,,,,,,,,,,
.........................................................................................'...,clc,...............,cclllc::ccc:;;;;;::lolllooolclodolcllc:;;;;;::clollclooddooooddxdddoollllllooddddolcccccclllllollccllcc::;;;;,;;;,',:c:,.''',;;;,,,,;;;::c::;:ccc:;;;;;:cll:;,',:cclol:;;;;ccccccclc:,,,,;:::cc:;;;coxxxkOkxl:lodoooxOkkxxolllllc:ccccccloollllloodxkkxxxxxxxxxxxxxkkkkkOOOOOOOOOOOOOOOOOO00000000000000000000000OOOOO00000OO00000000000000000000000000000OOO0000000000000000000000OOOOO0OOOOOOOOOOOOOOOOOkOOkkkkkkkkkkkkkkkxxxxxxxxxxxxdxxxxddddddddddddddddddddddddddddoooolllc:::;,,''''',;;,,;:::;;;;;;;,,,'''''''''......................''..'..........'''.......'......'...'.........................................''.......................''............................................... .............................................................................'''''''.............'...'''''''...'''''''....'''..'''''...:xl,''''''''''''',,,,,,,,,,,,,,,,,,,,,,,;,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,
.........................................................................................''''';:c:'....'.........'::clll:::cc:;;;;,;:cllloodolclooolcccc:;;;,;:cclooollllodddooodxxxddooloolloooloddolcccccclooooolcclllc::;::;;,;;,,;::;'.',,,,,,,,;;;;;:::::::cc:,,,,;;:llc;,,,;:ccllc;,;::cccc:cclc;,,,,;:::c::;:cldxxkOkdolclooooxkOkxddoclllc:::ccccllllllloooddxkxxxxkkxxkxxkkkkkkOOOOOOOOOOOOOOOOOOOO0000000000000000000000000O0000000000000000000000000000000000O0000O00000000000000OOO000000000OOOOOOOOO0OOOOOOOOOOkOkkkkOkkkkkkkkkkkxxxxxxxxxxxxxxxxxxxxdddddddddddddddddddddddddddooollc:;;;;,,'''',,;,,,,;;:;;,,;;;;;,,,''''''''........................''.'.............................'''......................................'...'''.......................................................................... ......................................................................'''.'....................'..'''....'''''''''.''...'''''..'lxl,'''''''''','''''',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,
............................................................................................'''':c:'...'..........,;ccllc:::cc:::;,,;cllllooooccloolccclc:;,,;:ccloollllllodddooodxxdddolllllloolodxdlcccccccooooolllllllc::;;;;,,,;::;;,'',,;,'',,;;;;;;::::::cc:;,,,,::ccc:;,;::cccc:::::::cccc:ccc:;,,,,::::c:::clodxkOOxollloolldOOkkxollcclll:;:clccllllcllooddxxxxxxxxkxxxxxkkxkkkkkOOOOOOOO0OOOO00OOOO00000000000000000000000000000000000000000OOOOO000000000000OO0000O000000000OO00OOO00000000000OOOOOOOO0OOOOOOOOOOOOOkkOOkOkkkkkkkkkxxxxxxkkkxxxxxxxxxxxxddddxxddddddddddddddddddddololll:;;;;,,,''''',;;;,,;;::;,,,,,;;;,,,,'''''''''.......................''''....''''...''........'''.....'''..................................''.....''.................................................................................................................................................................''........''''''''''''..''''''...'''''..,ldc'''''''''''''''''''''',,,''',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,
..............................................................................................'.;ll;...'..........',::llc:;:cc:;;;,',:ccllloolccloolcccccc:,,,::cllllllcclooddoooodddddoollllloooodxdollcccccloooooollllllc;;;;;,'';::;,'''',,,'',;;;;;;:::c:;:cc:,',,;:cccc:;;;::cllc:::::;:ccccccc::;,,,;:::::::ccloxxkkkdolllooooxOOkkxolccllolc::clcclllccclloddxxxxkxxxkxxxxkkkkkkkkkOOOOOOOOOOOOOOOOOOO0000000000000000000000000000000000000000000000000000000000O000000000000000OOOOOO000O000000000OOOOOOOOOOOOOOOOOOkOOkOOOkkkkkkkkkxxxxxxxxxxkkxxxxxxxxxxxddddxxdddddddddddddddddddoooooolc::;;;,,'''',',;;;,,;:::;,,,,,;;,,,,'',,'''''''......''''............''..''...'''..'''........'''....''''.''.............................'''.................................'''......................................... .........................................................................................'''........'''......'....''''...'''''''..,cc;''''''''''',,,,'','''',,,''',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,
................................................................................................,coc'..............';;cllc::clc:;;;,,:lllllooollloolccccc::;,,;:clllllcccloooddoooodddddollllllooodddoollccccllooddoolllllc;;;;;,'';::,''''',,,,,,;;,,;;;::::;::::,,,,;:cc::;;;::cccc:::;;:::cccccc::;,,,,;::::;:cclodxxkkxolllloolok0Okkxolccclllc:::ccclllccllloddxxxxxxxxxxxxxkkkkkkkkkOOOOOOOOOOOOOOOOOOOO00000000000000000000000000000000000000O00000000000000000OO00000000OO00OOOOO00O0000OO0000000OOOOOOOOOOOOOOOOOOOkkOOOOkkkkkkkkkkkkkkkxxxkkkkkxxxxxxxxxddddddxddddddddddddddddoddoddooolcc:;;;;,,'',,,,,,,,,,;;:;;,,,,,,,,;,,''''''''''''.....''''......................''..''''..........'....''''''''................................................................................. ...................................................................................................'..............'''....'..'''...........''''....'''.'''..,;;,''''''''''',,,,''''''',,,'''',,',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,
.................................................................................................;ll;...............,;:lol::cllc::;;;:clllloooolloolllccc::;,,;:ccclllllllloooodoooodddddolllloooodddddollc:cllloddddollolc:;;;;,,,,;;,'.'''',,,,,,,,;;;;::::;:::;,,,;;cc:;;;;;:cccc::;;;::cc:::::::;,,;;:::c::;:llodxkkkdllllllloodkOkxxdllc:clllcc:ccllllcccllloddxxxxxxxxxxxxxxkkkkkOkkkOOOOOOOOOOOOOOO0OOO00000000000000000000000000000000000000000000000000000000000OO0000000000OO00000000000000000000OOOOOOOOOOOOOOOOOOOOOOOOOOOkkkkkkkkkkkxxkkkkkxxxxxxxxxxxddddddddddddddddddddddddddddooollc::;;;;,,,''',,,,,,,,,;;;;;,,,,,,,,,,,,,,,'''''''''''''''...............'''.''''''..''.''''......'....'''''''''.................................................................................................................................................'''''''''''''''''''''''',''',,,''',,''''''''''''''''''''''''''''''''''''..''''....''..''''',,,''''''''''''''''''''''''''''''',,,,,,,,,,,,',,,,,,,,,,,,,,,,,,,,,,,,,,
.................................................................................................';c:,'.'''.........';;ldoc:cllc::;:;;:cllllooolllolllccc:;;;,;::ccccloollllooooooooddddxdoolloooooodxdoolc:clllooddxdllool:;;;;;;,,';,''''''''',,,,,,,,;:::;;::;,,,,;;:c:;;;:c:::::;;;;::cccc:::::;,,;::::cc:;:coodxxkkxlcclllooodxkkxddoccc:colccc:cllllc::ccloodxxxxxxxxxxxxxxkkkkkkOkkkOOOOOOOOOOOOOOOOO0000000000000000000000000000000000000000000000000000000OO0000OOOOO0000000000000000000000000000OOOOOOOOOOOOOOOOOOOOOOOOOkOOOkkkkkkkkkkkkkkkxxxxxxxxxxxxxddddddddddddddddddddddddddddoooolcc:::;;,,,''',,,,,,,,,;;;;;;,,,,,,,,,,,,,,,,'''''''..'',''''...........'''''''''''''''''''''''''.....'''.''''''''''.......'....''.....................................................................................................'''''''''',,,,,,,,,,,,,,,,,;,,,,;;,,;,,,;;;;;;;;;;;;;;;;,,,;;;,,,,,,,,,,,,,,,,,,,,,,,,'''''''''''''.'''......''''.',;;,''',,,'''''''''''''''''''''''''',,,,,,,,,,,,,,,,,,,'',,;,,,,,,,,,,,,,,,
..................................................................................................';c:,.',,'........',;cooc:cclcc;;;;;;:lcllooollloolc:cc::;;,;::clcclollllllolloooooddddddolllooooodxxdooc:clllooddxxooodoc;::;;;,'',,,,'''''',,,',;;;;;::::;:;,,,,;;;:::;;:cc::::;;;;;::ccccccc::,,,;::;:::;:ccodxxxkkdlccllllldxkkxxdolccc:colcccccllolcccccloodxxxxxxxxxxxxxkkkkkkkkkOOOOOOOOOOOOOOOOOOO0000000000000000000000000000000000000O0000000000000000OO0000000OOOO00000000OOO0000000000000OOOOOOOOOOOOO0OOOOOOOOkkOOOOkkOOOkkkkkkkkkkkkkkxxxxxxxxxxxxxxxxxddddxddodddddddddddddddddooolcc::::;,,,,,',,,,,,,,,,;;::;,,',,,,,,,,,,,,,;,,,''.....'''''''..........''''''''''''''''.'''''''......''''''''''''''..........'''''...............................................................................''...''''''''''''''''',,,,,,,,,,,;;,,,;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;:;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;,,,,,,,,,'',''''''..'''''...':oc,''''''''''''''''''''''''''''''''',,,,,''',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,
...................................................................................................':c;,',,'.........',:lolcccccc:;;;;,:lcllloollloool:ccc:;,,;;:cccclllllollolloddooddddddolllllododdxddolcclllooodxxdoodoc:::;;;;,'',;,'..'',,,,,,,;;;;::::;;;'',,,;;;;;::::::c::;;;;;:cccccccc:;,,;:::;::;:ccldxxxkxxolcclllloxkkxdxoccccc:coolccccllolc::ccloodxxxxxxxxxxxxkkkkkkkkkkOOOOOOOOOOOOOOOOOOO00000000000000000000000000000O00000000000000000000O0000000OO0000OO000000O0OO00000000000000OO0OOOOOOOOOOOOOOOOOOOOOOOOOkkkkOkOOOkkkkkkkkkkkkkkxxxxxxxxxxxxxxxdxddddddddddddddddddddddooolccc:cc:;,,,'',,,;,,,,,,,;::;;;,,'',,,,,,,'',,,,,,'''''..''''''''''.'''.....'''',,,'''.'''''''',''''....'''''''''''''''........'''''''''..........................................................................''''.'''',,,'''''',,,,,,;;;;,,;;;;;;;;;;;;;;;;::;;;;;::;;:::;;:;;;;;::::::::::::;;;:::;;;;;;;;;;;::;;;;;;;;;;;;;;;,,,,,,'''''''''''''..'cdl,''''''''''''''''''''''''''''''''','',''''''','',,,,,,,,,,,,,,,,,,,,,,;,
....................................................................................................;ccc;','..........':cllc:ccccc;,,,,;cllllooollllolcccc:;,,,;;:ccllllollllolllodooodddddoolllloddddddoollcccllloodxxdoddoc::;,,;,'.',,'...',,,,,,,,;;::::::;,',,,;;;;::::::;:c:;;;;:::c:::::::;;;;;:::::::clodxxxxxxdl:cclllooxOkxddl:cccc:clll:::clllc:::ccloddxxxxxxxxxxxxxkkkkkkkkkkkOOOOOOOOOOOOOOOOOO0000000000000000000000000O00000OOOOOO0000000O00000000000000000000000000O00O00000000000000OOOOOOOOOOOOOOOOOOOOOOOOOOOOOkkkkkkkkkkkkkkkkkkkkkkkxxxxxxxxxxxxxxxxddddddddddddddddddddddoollcccccc:;;;,'',,,;,,,,,,,;:;;;::;,''',,;;,,,,,,,,,,,,,''''''''''''''''''''.....''',,'',,,'''.''''',,'''''''''''''''''''''''........'''''...''...................................................................''''''',,'',,,,,,,,,,,;;;;;;;;;;;;::;;;;;:;;:;;::::::::;;;;;::::;::::::::::;:::::::::::::::::::::::;;:::::::::::::::::;;;,,,,,,,,,'',''''',;,''''''''''''''''''''''''''''''','','''''''''''',,,,',,,,,,,,,'''''''''''
............................................................................................ .......';:lc;,,'..........;clolc:cccc:;;;;;clllloolllllolc:ccc;;,,;;;:cllllllllllllllooooodddddolooooddddddddollclllccloxkxooddoc:;;;;,,'..','''',,,,,,,,;;::;;;;;,',;;;,;:::::::::c:;;;:::::::::::;,;::::c::;:ccodxxxxxxolc:cllooddkOxdxoc:ccccccllc:::lllc::::clodxxxxxxxxkkxxxxxxkkkkkkkkOOOOOOOOOOOOOOOOOOOO000000000000000000000000000000OOOOOOOO0000OOO0000000000000000O00000000000000000000000000OOOOOO0OOOOOOOOOOOOOOOOOOOOOOOOkkkkkkkkkkkkkkkkkkkkkkkkxxxxxxxxxxxxxxddddddddddddddddddddddolllccccccc:;;,,,'',;;,,,''',,,,,;;;;,'',,,,;;;,,,''',,;;;,,'''''.''''.....''.......'''',,,,,,'.'''''''',,,,''''.''''''''''''','''......''.....'''''.'''.................''........................................''''',,,,,,,,,;,,,;;;;;::;;;;;::::::::::::::::::::::::::::;;;::::::::::::::::::::::::::::::::::::::::::::::::::::::::::;;;;;;;;;;;;;;,,,,,,,,,,,''''''''''''.'''''''''''''''''',,'''''''''''''''''''''...............
.....................................................................................................,;cc:;;,..........,:looc:ccclc:;;;;clcccloolcllolcc:cc:;,,,;;;:clllllollcllllooooodddddolllloodddddddoolccccccclxOkdooool::;;;,,'..'',''''',,,,,,;::;;,;;;,'',;;;;:::::::::::;:::::;::cc::::;::;::::;::cldxxkkxxdlcccllooodxOOxdxo::cc:cclllc:::clcc:::clloxxxxxxxxxxxxxxxxxkkkkkkkOOOOOOkkOOOOOOOOOOOO0000O00000000000000000000000000OOOOO000000000000000000O0000000000000000000000000000O000000OOOOOOOOOOOOOOOOOOOOOOOOOOOOOkkkkkkkkkkkkkkkkkkkkkkkkkkkkxxxxxxxxxxdddddddddddddddddddddddooolccclcc::;;,,,'',,;;;,'''''',,;;;;;,,'',,,;;;,,''''',;;;,,'''...'''.'''''''.......'''',,,;;,,,,,''''''',,,,,'''''''''''''''''','.'...........''''.'''''...............'''''',,'''...''..........................''''',,,,,,;;;;;;;;;;;:::::;;;::::::::::::::::::::::cc:::::;::::::::::::::::::::::::::::::::::::::c:::::::::::::::::::::::;;::::::;;;;;;;;;;,,;;;,,,,'',,'''''''''''''''''''''''''''.................................
......................................................................................................';::;;,,.........';coolccccllc;,;;:cccclolllllllccc:::;;,,,;;;:coolllllllllllllooooddddoolllooddddddoolcccccccloxxddoolllc,,;,,''''',,,'',,,,,;;:::;;;;;;,'',;;;;;;;::::::;;::::;;::ccc::;;:::::::::clldxxxxkdolc;:loolldkkkxxol:;::ccccllc:::cccc:::cclodxxxxxxxxxxxxxxxxkkkkkkkkkkkOOOOOOOOOOOOOOO0000000000000000000000000000O000OOOO0000000000000000000000000O0000000000000000000OOOOO000000OOOOOOOOOOOOOOOOOOOOOOOOOOOkOOOkkkkkkkkkkkkkkkkkkkkkxkxxxxxxxxxxxxxxddddddddddddddddddddddooolcccllcc:;;;,,,,,,;;;,'.''''''',,;;;,,,,',,,,,,,,,'''',,,,,,,'''''''''',,'''.'''''''''',,,,;;;;;;,,,,,,,,,,,,,,,,,,''''',''''''''''''.''...''''''..''''....''..............'',,,''''''''..........................''',,,,,;;;;;;;;;;;;::::::::::::::::::::::cccccc:cccc::cc:::c:::cc:ccc:::::cccccc::ccc:::::::::::cccc:::::::::::c:::::ccc:::::::::::::::::::::;;;;;;;;;;,,''''......''.............................................
............................................................................................... .......',::;;;'.........':lolccccccl:,,,;:clclolllllllllc:c:;;,,,;;;::loollloolcllclloooodddooolllodddddxddoolccccccclodxxdooool,',;;;'''''',''''',,;;;::;;;;;,,,,,,;;::;:::::::;;:::;;;:c::::;;;;;::;:::cldxxxxxxxdoc:::looodk0Ododl;;;::ccccllc::ccc::::ccloddxxxxxxxxxxxxxxxxxkkkkkkkkkkkOOOOOOOOO0OOOO0000000000000000000000000000O000OOO0000000000O000000000000O00O000000000000000OOO0OOOOO00OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOkOOOkkkkkOOOkkkkkkkkkkkkkkxxxxxxxxxxxxxxxdddddddddxxxxddddddddddoollllllcc::;;;;,,,;;;;,'''','....',;;;;;,,,,,'',,,,,,'''''',;;,,,'''''''',,,,''''''''.''''''',,,,;;;;;,,,;;;;,,;,,,;;,,,''''',,''',,,'''''''''''''.'''''''''''''''''..'''..........'''''''''...............'''.....''',,,,;;;;;;;;::::::::::cc:::::::::cccccccccccc::cc:ccccccccccccccccc:::cccccccccccccccccccccc::cccccc::::::ccccccccccccc::ccccccc::::::::cc::::::::::::;;;,'.................... ................................
........................................................................................................';:;;;,..........,cllc:::cllc;,,::clccllllllllllccc::;,',;;;::cloolloollllccllloodddooolllodooddxxddollcclccclodxxdddool;',;;;,'..'''''''',,;;;;;;;;;,,,,,',;:::;:::::::;;;;;;;;:c:::;;;;::;;;;:clldxxxxxdolc:::cllldkO0kdxdc;;:::ccccll::cccc::::cclddxxxxxxxxxxxxxxxxxxkkkkkkkkOOkkOOOOOOOOOOOOOO00000000000000000000000000OO0000OOO00000000OOOOOO00000000000O000000OO0000O0OOOO0OOOOO00OOOOOO0OOOOOOOOOOOOOOOOOOOOOOOOOOOOOkkkkkkOOkkkkkkkkkkkkkxkkxxxxxxxxxxxxxxddddddxxxxdddddddddddoolclllccc:::;;;,,,;;;;;,''''''....';,,,,;;;,,''',,;,,,,'''''',;;;,,,,,''''',,,,,'',''.''''''''''',,;;::;;;;;;;,;,,,,;;:;,'''',,,,',,,,,,,'''''''''''''''''''.'''''.'''''''......'.''''.''''''...'....................''',,;;;:;;;::::::::::ccc:::::::::ccc:::cccccccc:::ccccccccccccccccccccccccccccccclccccccccccccccccccccccccccccccccccccccccccccccccccc:ccccccccccc::::::::;,'......'............. ...............................
.........................................................................................................,;;;;,..........':clc:::cllc;',:cclccclllllccllcc:::;,'',;;::cclllllllllllllllooodoooolllooooodxxddoollcccccllodddddoll;,,,',,'..'''','',,;;;;;;;;;,,,,,,,,;;;;;;:c::;;;;;;;;;::::c:;;;;;;;:;::lodxkxxxxocc:::cllllxOOkxdxo:,;:::cllclc::ccc:::::cloddxxkkxxxxxxxxxxxkkkkkkkkkkkkkkkkOOOOOOOOOOOOO00000O0000000000000000000000000OOOOOOOOO0000OOOOO000000000000000000OOO00000OOOO0OOOOO00OOOOOO0OOOOOOOOOOOOOOOOOOOOOOOOOOOOOkkkkkkkkkkkkkkkkkkkkkkkkkxxxxddxdddxxxxxxxdddxdddddddddddddoolcccccllc::;;;;,,;;;:;,''''''''...',,,,,;;;;,'''',,,,,,'''''',,;;,,,,,''''',,,,''''''''..'''''''''',;::::;;;;,,,,,,,;;;;;,''',,,',,,,,,,,,'''''''.''''''''''''.''.''..''''''.....',''''',,''''',,'','.........'''....'',,,,;:::::::::::c::cccc:::::cccccc:::cccccccccccccccccccccccccccccccccccccccccclccccccccccccccccccccccccccccccccccccccccccccccccccccccc:cccccccccccc::::;,''''''''''........   .... .... .............. ......
.........................................................................................................',;;;;'..........;cllc:::lol:,,;:clcccllllcclllccc::;,,',,;:::cclolllllccllllllooooolllllooooooddddooolc:cccllodddddool:;;,'''''...'','',;;;;;;;;,,,,,',,,;;;,;:::::;;;;;;;;::::::::;;;;;;:::cloxxkkxxdoc::;:clloodkOkdddol;;;:::cllccccccc:::::clloddxxxxxxxxxxxxxxkkkkkkkkkkkkkOOOOOOOOOOOOOOOOOOOO000000000000000000000000000000OOOOO000000OOOO000000000O0000OO0000000000OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOkkkkkkkkkkkkkkkkkkkkkkkxxxkkkxxxxxxxxxxxdddxxxxdddddddddddddddddddollcclllcc:;;;;;;;,,;;;,,'''',''....''',,;::,,,''',,,,;,,,,,'''',;,,,,,,,'''',,,,,,'',,,,'''''''''',,,,;;::;;;;;;;;,,,,;;;;;;,,,,,,,,,,,,,,,,,,,''''''''','',''''.''''''''''''..''''''''',,,,,,,,,',''.........'..''',',,,;;;;::::::::ccccccccccccccccccccccccccccccccccccclccccllccclllccccccccccccclllccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccc:::;,'...'',,,'''............ ...   .... ... .... ......
...................................................................... ....................................';;;;'.........';cooc::cclc;,,,:ccccloollclllccc::;,,,,;;;::ccloolllllcccllllooooollllllloollooddoollc:::cccllodxddooc;;''''''..'''''',;;;;;;;,'''''''',;;,;;::::;;;;;;::::::::::;,;;;:;::codxkkxkxocc::;;:loodxxkxxddlc:;;::;:cllccccc::::;:clloodxxxxxxxxxxxxxxkkkxkkkkkkkkkOOOOOOOOOOOOOO00000OOO000000000000000000000000000000000000OOOOO0000O00O00OOOO00000000OO00O0OOOOOOOOOOOO0OOOOO00OOOOOOOOOOOOOOOOOOOOkOkkkkkkkkkkkkkkkkkkkkkkkkkxxxxkxxxxxxxxxxxddxxxxxxddddddddddddddddddddoollllllllc:;;;;;;,,,;,,,'''',,,'......',;:;;;;;;,,'',,,,;,,,,,,,,,,;;;,''''',,,,,,''',,,,,,,,'''',,,,,,;;;;;;;:::::;;;;;;;;;;;;;;,,,,,,,,;;,,,,,,'''',''''''''''''''..''''''''''''''''''''',,,'''''.....''''.....''',,,,,;;;;;:::::::ccccccccccccccclccccccccccccccccccccllcccclllllllllcllllclllllllllcclllllcccccccclccccccccccccccc:cccccccccccccc:::cccccccccccccccc::cccc::;,'..'',,,,,'''..........  ...... .....  ...  ......
...........................................................................................................';:;;,..........,:ool::ccllc;,,;cccclolllcllcccc::;,,,,,;::::cllllllllccccccllloooollllllooollodddolllcc:cccccloxddooc;;,'''''...'''',,;;;;;,,,'''''''',;;;;;::;;;;;;;::::::::::;;,;;:::cloxxxxxxkxl:;;:;;:loodOkxxddl:::::::;:cllllc:::::::clloodxxxxxxxxxxxxxxkkkxxkkkkkkkkkkOOkkOOOOOOOOO00OOOOO00000000000000000000000000000000000000000O00000000000OOO00000000OOOOOOOOOOOOOOOOOOOOOOO00OOOOOOOOOOOOOOOOOOOOOOOkOOOOkkkkkkkkkkkkkkkkkxxxxxxkxxxxxxxxxxxxxxxdddddddddddddddddddddddddooolccccccc:::::;;;;,,,,,''''',,,'......',,,,,;;;;;,,,,,,,,,,,,,,,,',;::;,,'',,,,,,,,'''''''',,;,,,,'',,,,,,,,,;::::::::;;;;;;;;;;;;;,,,,;;;;;;,;;;,',,'''',,,''''''''''''''...''.''''''''''''''''''''...''''''''''''''',,,;;;;:::::::ccclllccccccccclcccccccccccccccccccclllclccllllllllllllllllllllllllllllllllllllclllcccccccc:::;;;;;;;;::::::::::::::ccc:::::::::::::cc:::::;;'..',,,,,,,'.''........... .. ...... ...... ......
............................................................................................................,;;;;'..........;odlcccccll:,';:cccllllcccccc::::;;;,',,;;:::ccllllllccccccclllllllllllclooooodxdollllc::cccc:ldxddoc:;,'''''...''''',,,;;,,,,''''''',;;;;;::;;,;;;;;;;;:::::;;;;;;;::coxxxxxdxxdo:;;;:ccloodkOkddoc:;;::c:::ccclll::;;:::cloooodxxxxxxxxxxxxxxxkkkkkkkkkkkkkkOkkkkOOOOOOOOOOOOO00000000000000000000000000000000000000000000000000000000000OO00000000OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOkOOOOOOOOOOOkkkkkkkkkkkkkkkkkkkxxxxxxxxxxxxxddxxxxxxxdddddddxxdddddddddddddddddollccccccc::;;;;;;;;;;,'''''''''......'',''',,,,;;;;;,,,,,,,,;,,,,,,;;;;;;,,',,;,,',,,,,,,',,,,,,,,,,,,;;,,,,,,;::::::::c:::::::;:::;;;;;;;;;;;;;;,,,,,,,,,,,,,,,,,'''',,,''''''''''''',,,,,,''''''''''''''''',,,,,,,'',,;;;;;::::::ccclllccclcccllllllcccccccccllccllclllllllllllllllllllllllllllllllllllllllllllllllllllcccc:;,'''',,''',,,;;;;;;;;:::::::::;;;;;:::::::;;:::;;,,'.'',;;;;,'''.....''.......   ..    ..  .... ...
.............................................................................................................',;;'..........,lollc:cclol,.,;:llllllcccccc:::;;;;,,,,,;:::ccclllolcccc:cclllllllllllclooooooddolcllllc:cc::coxxdolc:,'''.''''.'''',,,,,,,,'''''''',;;;::::;,,,;:;;;;:::::;;;;;;;:cloxkxxxxxxoc:,,;ccloodxkkxxdoc;;;;:::;:ccccccc:;;::cclloodddxxxxxxxxxxxxxxxxkkkkkkkkkkkkkkkkkkkkOkOOOOOOOOO00000OOOO000000000000000000000000000000OOO0OOO00000000000000OOO00OOOOOO000OOOOOOO00OOOOOOOOOOOOOOOOOOOOOOOkOOOOOOOOkkkkkkkkkkkkkkkkkkxxxxxxxxxxxxxxxddxxxxxxxxdddddddddxddddddddddddddddddollccccccc:;;;;;;;;;;,,''',''''''....''''...,,,,,;;;;,;;;,,,;;;,,,,,,;;;:;;,,,',,'''',,,,,,,,''''',,,,,;,,,,''''',;;;::cccclllcccc:;::::::;;;,,,;;;;;;,,;;,,,,',,;,,,,,,,,,,,'''',,,',,,,,,,,,,'''','',;;,,,,,,,,,;;;;;;;;;;;::::cccclllllcclcclllllllcccllllclllllllllllllllllllllllllllllllllloollllollllllllllllllllllccc::,'..''',,,'''''',;;;::;;;;;;:::;;:::;;;;;;;:;;;;:;;;;'''',,,,;;;,''''''''''''..   ..    ..  ...  ...
..............................................................................................................';;,'.........'cooocccclol;',,;cllllllccccc:::;;;;;,''',:::ccclllllcccc::cclllllllllcccllooooodolcclllcccc:::ldxxdol:,'''..'''''''',,,,'',,'.'''',,,;;;::;;;;;;:::;;;:::;:;,;;;;;codxxxxxxxxdc:;;;:cclooxkkkxxoc:;;;;;:::ccccccc::;;:ccllooodddxxxxkxxxxxxxxxxkkxxxkkkkkkkkkkkkkkkkkkkOOOOOOOOOO0000OOOO000000000000000000000OO000OOOOOOOOO00000000000OO000000000OOOOO000OOOOOO00OO00OOOOOOOOOOOOOOOOOOOOOOOOOOOOkkkkkkkkkkkkkkkkxxxxxxxxxxxxxxxxxdddddddxxxxdddddddddddddddddddddddoooooolllc:c:::;;;,;;;;,;,'''''''''''....'......',,,;;;;;;;;;;,;;;;;;;;,,;;;;;;:;;,,,,,,,,,,,,''''',,'''',,,,,,,,,,''''',;;::cccllllllllcccc:::::;,,,;;:::;;;;;,,,',;;;;;;,''',;;;,,'',,'',,,''',,,,,,,'''',;;;;;;,;;;;;;;;;;::;:::cc:cccclllllllcllllllllllllllllllllllllllllllllllllllllllllllllooolllllollloooollllllolllllcc:;,''.'',,,,,,;,,,',,,;:;;;;:;::::;::;;::;;;:::;;;;;;:;,,,''''',;;;;,''''''.',,,........  ....... ....
...............................................................................................................,;;,'........':lodlccclol;,,,;cllllllccccccc:;;;;;,''',;:::ccclccccccc::::clllcclllccclllloolddolcllllccc:::cldxxolc,.''..'''''''',,,,'''''..''',,,;;;;;;;,;;;::;;;:::;;;;;;:;::ldxxxxxxxxdo::::::cloodxkkxxdc;;;;::::::cclc::::;;:cccloodddddxxxxkxxxxxxxxkkxxxxxxxkkkkkkkkkkkOOOOkOOOOOOOOOOO00000OOO00000000000000000000OOO00OOOOOO0OOO00OO00O0000OOO0000000000OOOO0OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOkkOOOOkkkkkkkkkkkkkkkxxxxxkxxxxxxxxxxxxddddddddddddddddoodddddddddddddddooooooooolllcc:;;:;;;;;;,,;;,''''''''''....'......''',;,,,;;;;;;;;;;,,,;;;;;::;;;:::;;;,,;;,,,,;,,,''',,,,,,,',,,,,,,,,,,'''',;;;;ccclllooolcc:cccccc:;;;;:ccc:;;,,,,,,,,,,;;;,''',,;,,'''''',,,,'''',,,,'''''',,,,;;;;;;,,,,;;:::::cccccccclllllllllolllllllllllllllclllllllllllllllllllllllllllllllllllllloooloooooooooooolllllc:;'.'',,;:;;;:::;;;,'',,,;;::::::;;:::::;;;;;;::;;;;:::;;,''''',,,;;;,'''''''',,,,'.....   ...... .. .
................................................................................................................,,,'.........,;cdolcccll:,,',clllclllccllcc:;;,;;,,,',;;::::ccccccclc::::ccllllcccllclolllooodolcccllccc:::::ldddoc,..''''''''''',,,''''''..''',,,,;;;;;;;;;;;;;;;:::;;;;;;::cooddxxxddolc:;;;::clodxxxxxdol;,;;;;;;;:clll:;::::;:cclllooddddxxxxxxxxxxxxxkkxxkkkkkkkkkkkkkkkkkkOOOOOOOOOOOOOOO00000000000000000000000OOO0OOOOOOOOOOOO000000O000000000OO00000000OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOkkOOkOkkkkkkkkkkkxxxxxxxxxxxxxxxdddddddddddddddddddddooooodddddddodddoooooooooooollllc:;;:::::;;;;;;;,,,,,,''''''''.......''..''',,,,;;;:::;;;;;;;;;;;;;;;;;;;::::::;;;;;;,,,,,;,,,,,,,,,,,,,,,,,,,,,,,,,,,,,;;;:cclllooollllllcc:::cccc:::;;;;,,,,,;;;,,''''',,,,,,''',,,,,,,',,',,,''',,,,,,,,,,,,,,;;;;::cccccclllllllllllllllllllllllllllllllllllllllllllllllllllllllolllllloooolooooooooooooooolllllcc:'..',,;:::::::;;;;;;,,,,,,,;;;;;;;::;;;;:::;;;;;;;:;;;;;,'''',,,,,,;;,''.''''',,,,''....... ........
.................................................................................................................',,.........';cllllc:clc,,',cllcclllc:cllc;;;,,;;;,'',;;;;;:::cccccc::::cccccccccccclolccloooooc::ccclcc::;;:clddo,..'''...''''',,''.''''....'',',;;;;;,,;;;;;;;;;;;;,,;:cclddxxxdooolc:;;;;;::ldxxkkxddc:;;:;;;;;;::cloc;;;::::clllooooodxddxxxxxxxxxxxxxkxxkkkkkxxkkkkkkkkOkkkOkOOOOOOOOOOOOO00000000000000000000000OOOOOO0OOOOOOOOOOO000O0000000000O00O000OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOkkkkkkOkkkkkkkkkkkkkkkxxxxxxxxxxddddddddddddooodoooooooooooooooooooooooooooooooooooooolllllcc:;:;:::;;;;;;;;;;;,'','''',,,''......'''....''''''',;;;;::::::::::::;:;;;;;;:::::;;;;;;,,;;;;,;;;;,,,;;;;,,,,,,;;;;;;,,,''',,,,;:cldddoooolooollccc:::::::::;;;;;;;;;;;,',,',,,,,',,,'',,,,'''''''''',,,,',,,;;:;::::::ccccclllllllllccllllllolllllllllllllllllllllllllllllooolllllooooooooooooooooooooooooooooololllc:,..'',;;;;;;;;;;,,,;;;;;;,,,,,,;:::;;::::::::;::;:;;;;;;'.'',,;;,,,,,;;,'..'''''',,,,,..............
.................................................................................................................''''........',:cllcc:clc:,',:cllclllc:cllc::;,,,;;,'',,;;;;:::cc:::::::cccccccccccccccllcloloool::::cllc:;;;;;cdxd;''.....'''',',,'''''''''''''',;;;,,,,,;;;;;;;;;;;,,;cllodxkkxdooolc:;,,;:;:clxkkkxddl:;;;::;;;;;::clc:;;;:::cclloooodddddxxxxxxxxxxxxxxxkkkkxxxxkkkkkkkkkkkkkkkOOOOOOOOOOOOOOO0000000000000000000000OOOOOOOOOOOOOOOO0000O000000000000OO000OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOkkkkOkkkkkkkkkkkkxxxxxxxxxxddddddooooooooooooooolllllooolllooolooooloollllooollllllllcccc:,;;,;:::::;;;;;,;;;,''',,,,,;,'''........'....'''''''',,,;::cllccc:cccc:::::;;::::::;;;;;;;;;;;;;;;;;;;::::;;;;,,;;;;;;;;;;,,,,',,,;:cllooddddddoollc::::cclc:::::::;;;;;,,,',''',,,,,,,,',,,''''''''',;;,,,,,,;;;::::::cccclllllllllllllllloolllllllllllllllllllllllllllllooooooooooooooooooooooooooooooooooooooooollcc;'.',;::::::::::;;;,,,,;;;;;,'',;;;;:::::::cc::::::::;;;,'''',,;;:;,',;;,'''''''''',,,''....     ...
...................................................................................................................'''.......'',;cllcc:clc:,,;:clccloc:cool::;,',,;,,''',;;;:::cc:::::::::::cccc:::cccccccllllloolc:::ccc::;;;;:oddc;,'....'''''''''...'...'''''',;;,,,,,,;;;;,;:;;;,;:coddxxxxdoollc:;;;,;;;:lodxxxxdllc;;;::::;;;:ccc::;;;::cccclooodddddddxxxxxxxxxxxxxxxxkkxxxxkkkkkkkkkkkkkkkkkOOOOOOOOOOOO0OO00000000000000000000OOOOOOOOOOOOOOOO000000000000000000000OOOOOOOOOOOOOOOOOOOOOOOOOkkOOOkkkkkkkkkkxkkkkkkkkkxxxxxxxxddddddooodoooollloolllllllolllllllllccllllclllcccccccclllcccccccccc:;,;;;;;:::::;;;;;;;;;;,,,,,,,,;,'.'''......'''....'',,''''',,;;:::ccccclccccccc::::::ccccc:;;::;;;;;;:::::::ccccccc::;;:::;;;;;;;;;;;,,,;;::cclllodoooollllllllc:::::::::::::;;;,,,',,,,,,,,,,,,,,,,,'''',,;;;,,;;,,,;;;;:::cccllllllolllllllllllllllllllllllllllllllllllollllooooooooooooooooooooooooooooooooooooooooollc:;,'',,;;::::::::::::;;,,;,,,,,,'',,,;;:::cccccccc::::::;;,,'',,;;;;;;;;;;;,'''''''',,,,,'.....  ...
....................................................................................................................''........'',:lol:::cc:;;;;:cccllc:clol:;;,',,,,,,'.';;;:::c::::;;;:::::::cc:::::::ccccclc:cloc::::::::;;;:;clolc;'......'''',''.........'''',,,,',,,;;;;;;;;;;,:llodxxxxdooolc::;;,;:;;;lddddxxdoc::;;:::;;;;;:::::::;;::clllooooddddddxxxxxxxxxxxxxxxxxxkkkxxxkkkkkkkkkkkkkkOOOOOOOOOOOOO0000000000000000000000OOOOOOOO00OOOOO00OOOO000OO0OO0OOOOOOOOOOOOOOOOOOOOOOOOOO0OOkkkOOkkkOkkkkkkkkkkxxxxxkkkxxxxdddddddooooooooooolllllllllllccclllcccccc:cc:cccccccc::::::::::c:::::::c::;;;:::::::::::;;;;;;;;;;,,,,,,,;,,''''''.....''''...''''',,,,,,,,,,,,;::ccllllllllllcclllllc::cc:;;;;;;:::::cc::cclcccccccccc::::::::::,,,,,,,,,,,:ccoddolllloooollcc::::c:::::::::;,,,,,,,,;;,,,,,,,,,,',,',,,,;,;;;;,;;;;;:cccllllooollllllllolloollooooolllllllollllllloooooooooooooooooooooooooooooooooooooooooooooooollc:'''''',,,;,,,,;;;:::;;;,,,,,,,,;,,',;;:ccclccccccccccc::;,''',;;;;;:::;;;;,'''''','',,,,'.....   
.....................................................................................................................'.........',;lol:::cl:;;,;:cccllc:cloc::;,',,,,,,''',;;;::c::::;;;;:::;:::c::::::::::::cccclolc:;::c::;,;;;:clol:'......''''''.........''',,,,,,,,,;;;;;;;;;;;;coloxkxxdooolc:;;;;;;;;coododdddol:;;;::;,,',:::::::::::::cllloloddddddddxxxxxxxxxxxxxxxxxkkxxxxkkkkkkkkkkkkkkkOOOkkOOOOOOOOOO00000OOO0000OOO0000OOOOOOOO000OOOO00OOOOOOOOOOOOO00OOOOOOOOOOOOOOOOOOOOOOOOOOOkOOOOkkkkkkkkkkkkkkxxxxxxxxxxddddddddooooollloooollllllllcccccccccccccc:::c:::::::::::::::::::::::;:c::;;;;::::::::::::::;;;;,;;,,,,,,,,,,,'''''''....'''''''...''',,,,,,,,,;,,,,,;:::clllooolllllllllcccclc::::::;;::::::clcccllllllccc:::::::::::;,,,,,;,;;;:ccllllollllooolcccccccc::::cc:;;,,,,,,;;;;,,',;;;,,,,;,'',,,,;;;;;;:::cccclllolooooolllloooloollooooollllllllllllllloooooooooooooooooooooooodddoodddddoddoodddddoooooool:;,'''',,;;;,,,,,,;;;;;;;;,,,,,;;,,,'',;::cccccllccllccc::,'',,;;;;;;:::::;,'''''''',,,,,''......
...............................................................................................................................',;colcc::l:;;,;:cccllcccllc:::,',,,,,,,'',;;;;::::::;,,;:;;;;;:::::::::::::::ccclllc:;;::::;;;;;;;cooc,......''''''.........''',,,,,,;,,;;;;;;;;:;:cloodxxdoolllc::;;;;;;;coddodddolc::;;:c:,,,,;::::::::::::cclllooodddodddxxxxxxxxxxxxxxxxxxxxxxxxxxkkkkkkkkkkkkkOOOOkOOOOOOOOOOO000OOOO000000000000OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOkkkkOOkkkkkkkkkkkxxkkxxxxxxdxxdddddddooooooollllooollllllllccccccccccc:::::ccc::::::::::::::::::::::::c:;;;:::::::::c:::::::;;;,;;;;,,,,,,,,,,,''..'...'''''''''''''''',,,,,,;;;;;,'',,,;;;:ccccllloooloolllllccccc::::::ccccccc:cccllllllcccccc:cccc:::;;;;;;;,,;;::cllooolllooolccccccc:::cccc:;,,;;;,,;;;,,,;;;,,;;,,,,,,,,,;:::::ccccccllllloooollllloooloollooooolllllllollllooolllloooooooooooooooooddddoooodddddddddddddddoooooooollc;,''',,;:::;;;::;;;;;;:;;;;;,,,;;,,,'',;;ccllllccllllcc:;,'',;;;;;;:::::;,'.'..',,,,,,,,''....
...............................................................................................................................',;clccc::c::;,,;clcccc::clc;;;,,,,,,,,,,',;;;;::::::;;,,;;;;;;:::::::::;;;::::c:cccc:::::::;;;;;,,;ldl;'....''''''''........''',,,,,,,,,,,;;;;;;::loddxdollllc:::::;;;;;cloooodddlc::::::;;;,,;;;;::::::::::ccllllodddddddddxxxxxxxxxxxxxxxxxxxxxxxxxxkkkkkkkkkkkkkkOOOOkkkkOOOOOOOOOO00000O0000000000OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOkkkkOkkkkkkkkkkkkkkkkkxxxxxxxxxxdxddddddddoooooooooollllllllllllccccccccccccc::::ccccc::::cccccccc::cccccc::::::cccccccccccccc:::;;;;;;;;;,,,,,,,'',,''.....'''''','''''''''''',,,,,;;;;,,;;,,'',,,;;;;;:c:ccllllccclllllcccccccc::cccccccccllllllooololllllllcccc:::::;;,,,;:ccllllllllllcc:cccccccc::::;;;;;;;;;;;;;;,,;;,;;,,,,,,,;;;;::cccccllllloooollooooooooooooooooooollloollllooooooloooooooooooooooodddooooddddddddddddddddddooooooooll:,'.'',;;;;,,;::;;;;;;;:::c:::;;;;;;,,,,,;;:cccllllllllcc:;,,',,,,;;;;;:::;,''.'''',,,,,,,'...
...............................................................................................................................',,;cc:::::;;,,,;cccclc::clc;;,,,,,,,,,,,',;,;;;::;;::;,,;,,,;;;;:;;::::;;;;:;::::::c:::;;::;;;,,,,,cll:''....''''''.........'',,,,,,,,,;;;;;;:;:cldxxdoollc:::c::;;;;;clodooooooc:::::::;,',;;,,,;::::::::cccllooooodddddddddxxxxxxxxxxxxxxxxxxxxxxkkkkkkkkkxxkkkkkkOOOkkkkkOOOOOOOOOOOOOOO0OO0000OOO000OOOOOOOOOOOOOOOOOOOOOOOkOOOOOOOOOOOOOOOOOOOOOkkkkkkkkkkkkkkkkkkkkkkkkkxxxxxxxxdddddooodoooooooooooooollllloollllllllccccccccccccccccccccccccccccccccc::clc:;;:ccc:ccllllllllllcccc::::;;;;;;,,,,,,,,,,,'''....''''''',,,'''''''',,,'',;,;;;;;;,,,'',;,,,,;;,,;;:cc:::ccccclllccccccccllcccc:cccccccllllloooooollccccclc:ccc:;;;;;;::ccccclolllc::clllcc:ccc::;;;;;::;:::;,;;,,,,;;;,,;;;;;;:ccccclllolooooooooooooooooooooooooooooolloollooooooooooooooooooooodddoooddddddddddddddoddddddooooooool;''.';::c:::::::;;;;;;;;:cccllcc:;;;,;;;;,,,,;:clccllllccc:::,''.',,,;;;:::;;,'''''',,;;;,,,,'
...............................................................................................................................',',::::::::;;,,;:ccclc::clc:;,,,,,,,,,,'',,,,,;;::;:;,,,,,,,;;;;;;;;;;;;:;::::::;;:c:::;;;;::;;,,,,:cl:,'....''''''.........'',,,,'',,,;;;;;:::codddolcccc:;;:::;;;;;:loooollolc::::::;;,,,,;;,,,;::::::::ccllooooooddddddddxxxxxxxxxxxxxxxxxkkxxxxkkkkkkkkkkkkkkkkkkkkkkkkkOOOOOOOO00OOOOO0OOO000OOOO0OOOOOOOOOOOOOOOOOOOOOOOkkOOOOOOOOOOOOOOOOOOOOOOkkkkkkkkkkkkkkkkkkkkkkkxxxxxxdddddddddodoooooooooooooooooollooolllllllcccclcccccccccccclllcccccccccccccc:cc;::ccccccccclllllllllllcccc:::;;;:;,,,,,,,,,,,,,''...''..'''',,'''''''',,,,,,;;;;;,,,;;;;,,,,,,,,;,,;;:::::;;;;;;:::::::cccccccccc::ccccccc:ccccclllllccccccccccllllcc::;;;;;;::clllolc::cclllcccccc:::;;:::::cc::::;,;;;;;,;;;;;:::cllllloooooooooooooooooooooooooooooooollooooooooooooooooooooooooodddddddddddddddddddddddddddddddooool;'''';:clllllclllccc:::::cllllllccc:;;,,,;;;,,,;;:clllllcccc:;;,'',,,;;;:::;:;,,'''''',;;;;,,,
..................................................................................................................................',::::::::;,,;:ccccc::ccc:;,'.',,,,,''',,,,,;::;;;;,,,,,',,,;;;;;;;;;;;;;:::::;,;:::::;;;;:;;;,,,;:cll:'...''''...........''',,,,,,,,;;;;;:cloddllccc::::::::;;::::clolllllc:::::::;;;;,,,;;;,,;:::;:::ccllooooooddddddddddxxxxxxxxxxxxxxxxxkkxxxxxkkkkkkkkkkkkkkkkkkkkkkkOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOkOOOOOkOOOOOOOOOOOOOOOOOOOkkkkkkkkkkkkkkkkkkkkkkkkxxxxxxxxxddddxddooddoooooooooooooooloooooolllllllllllllccccclcllcccclllllllllllcccccccc:::cllllllllclllllollloolccccc:;;;;;;;,,,,,,,,,,,,'''''...'''''''''''',,,,,,,,,,,,,,,,;;;;;;;;;;;,,,,,,,,,;;;;;;;;;;;;;;:::c::::ccc:::cccccccccc::::::::cccccclllcclllllllcc:;;,;;;;:cccc::::cclccclllc::::::;;::c::::;;;:;,,,,;;:::ccllllooooooooooolloooooooooooooooooooooooooooooooooooooooooooooooddddddddddddddddddddoddddddddddodoooc:,''',;:cccllllllllccccclllllllclllcc:::;;;,,,,,,;:::cccccc:;;,,'',,;;;;:;;;::;,'''''',,,,,,,
.......................................................................................................................'''.........';:;;;;:::;,;;::ccc:::cc:;,..',;;,,'.',,,,,;;;::;,,,,,''''',;;;,,,;;;,,,,;;;;:;;,;:;:;;;;;;;;;,,,;:clc,....'''.........''''',,,,,,;;;;;;;:lllllcc::;;;::cc:;;:::cllllcccc:::::cc:;,,,,,,,;;;,,;::;;:::ccllooooooooddddddddxxxxxxxxxxxxxxxxxxxxxxxxxkkkkkkkkkkkkkkkkkOkkkOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOkOOOOOOOOOOOOOkOOOOkkkkkkkkkkkkkkkkkkkkkkkkkkkxxxxxxxxxddddddddxddddooooooooooooooooooolllooollooooollllllllooollllllllllllllllllccccc:;:ccllllllllllllllloooloooolccccc:;;;;;;;,,,,,,;,,'',,,'''..''''.'',,,,,,,'''''',,,,,,,,,;;;;;;;;::::;;;,,'',,;;;;;;;;;;;;;;::;;:::::cccc:cccccc:c:::cccc:::::::::::cccccllooolll::;,,,,;::::::cccccccloolcc:::;;;;::c::;;,;;;;,,,;::ccllllllooooooooooolooooooooooooooooolooooooooooooooooooooooooooooooodddoooddddddddooododdddddddddddoooll:;,'.',,,;;;::::::;:::::;::::::clllllllc:;,,,;;;;;;;;;:::::;;;;,'',;:::;;;,;::;,,''''''',,,,
................................................................................................................................''..,:;;;;;;;;,,;::cc::::cc:;,'.',,,;,'.',,,,,,;;;;;;,,,,,'''',,,;;,,;,,,,,,,;;;::;,;::;;;;,,,,,;;,,;:c::;,'..'''.........''''',,,,,;;;;;::::cccc::;;;;;::cc:;;::::clllcccc:;:::ccc:,,,,,,,,,,,,;;::::::ccllllloooooddddddddxxxxxxxxxxxxxxxxxxxxxxxxxxxkkkkkkkkkkkkkkkkkkOOOOkOOOOOOOOOOOOOOOOOOOOOOOOOOOkOOOOOOOOOOOOkkkkkOOOkkkOOOkkkOOkkkkkkkkkkkkkkkkkkkkkkkkkxxxxxxxxxxxxxxdddddddddddooooooooooooooooooooloooooooolllllllllloooooooollllllllllllollllc:::cllllllllllllllloooooooooolllccc:::::::;,,,,;;;,,,'',,,,'''...''.''',,,,,,''..',,,,'',''',,,,,,;;;:::;;;;;;;,,,,,,;;;;;;;;;;;;;::::cccc::::::::::::::ccc:::;;;;;;;:::;::ccllllllllc;;;,,;;:;;:::ccc::clooolc::::;;;:cccc:;,;;:;,,;;:cclllllllooooooooolooooooooooooooooooooooooooooooooooooooooooooooooodddddddoooooooddddddddddddddddddoooollcc;,'''''',;;;;;;;;;;;;;::;;;;:clllllolc:;;,,,;;;;,,,,;;::::;;;,'',;:::::;:::::;'''''''',,,
............................................................................................ ..............................''...''..'::;;;;;;;;,;cc::::::cc:;,...,,,,,'.''',,,,;;;,;,,,,,,'''',,,,;,,,,,,,,,,;;;;;;;;;:;;;;,,,,,,;,,,;:::;,''..''.........''''',,,;;;,;:;::::::::;,,;::::c:::;;:::clllccc:::;:::c:;;,,,;;,,,'.,;;:;;;::cccllllooooodddddddxxxxxxxxxdxxxxxxxxxxxxxdxxxxxkkkkkkkkkkkkkkkkkkOOOkkkkkOOOOOOOOOOOOOOOOOOOOOkOOkOOOOOOOOOOkkkkkkkkOkkkkOOkkkkkkkkkkkkkkkkkkxkkkkxxxkkkxxxxxxxxxxxxxxxxdddddddddddoooodoooooooooooooooooooooooolllllllllooooooooolllloollllooolcclc;:llllllllloooooooooooooooooolllccccc:::::;;;;;;;;;,,,',,,,,,''..'''''',,,,,,'''.'',,,,''''''',,,,,,,;;;;;;;;;;;,;,'',;;;;;;;;;;;;::::::::::cc:::::::ccc::::::::;;,,,,,,;,;;:cclllccccc:;;,,,,;,;;;:ccccccloddolcccc:;;;::cc:;;;::;;;;:cclllllloooooooooolooooooooooooooooooooooooooooooooddoooooooooooooooddddodddoooooddddddddddddddddooooooollllc:;,,''',;;::::::cccccccc:::clloooooollcc:,,,,;;;;,',,;;;;;;;;,''',:ccccc:::::,''''''''',
................................................................................................................................'...';::;;;;;;;;;:::c:;;:cc::,..'',,,,'.'''',,,,;;;;,,,','.'''',,,,,,,,,,,,,,;;,,;;,;;:;;;;;,,,,,,,'',;;;::;,''''...........'''',,;;;;;;;;::;;,,,,,;;::::::;;;;:cccccc:::;;:;;:::;,,,,,,,,,,,,:c:;,;:::ccclloooooooddddddddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxkkkkkkkkkkkkkkkkkkkkkkkkOOOOkOOOOOOOOOOOOOOOOOOOOOkOkkkOOOkkkkkkkkkkkkkkkkkkkkkkkkkkkkkxkkkxxxkkxxxxxxxxxxxxxxxxxxxxxddddddddddddddddooooooooddooooooooooooooooloooooooloooolooooolooooollooolccccccllooloollooooooooooooooooooooollllccccc:::::;;;;;,,,,,,,,,,,,,''''''..','',,,,'''''',,,,,,'',,,,,,,,,,,,;;;;;;;;;;;,,;;;;;;;;;;;;;;;:;;;;;;::::::::::ccc::::::;,,,'''',,,,,,;;;::cccccccc:::;;:;;;,,;::ccccllllllllc::;;;;:::;,;;cccccccllllooooooooooooooolooooooooooooooooooooooooooooodooooooodooddoooooooddoddooddddddddddddddddool:;,,;;;;;;:::::;,,'''',,;;::cccclllccccclllllllllllllc::;;;,,,,,,,,,;;;;;,,,''',;;:::cccc:;,''''''',
.......................................................................................... ..........................................,::;;;;;;,,;::::;;;;cc::,..'',,,,'''...',,,,;;;;;,'''.'''',,,,,,,,,,,,,,,,,,,,,,;::;,,;;,,,,,'''',,,:::;,..............''',,,;;;;;;,,,,''',,,;;;:::::::;;::ccc::::;;;;:;;:::;;,,'.'',,,;::;:::;;::cccllooooooodddddddxxxxxxxxxxxdxxxxxdxxxxxxxxxxxxxxkkkkkkkkkkkkkkkkkkkkkkkkkkOOOOOOOOOOkOOOOOOOOOkkOOOkkkkkkkkkkkkkkkkkkkkkkkkkkkkkxxxxxkxxxxxxxxxxxxxxxxxddxxxddddxddddddoodddddddddddoooddoooddooooooodooooooooooodoooooooooooooooooooooooolool::clloooooooolllloooooooooooloooooooolllllccccc:::;;;;;,,,;;,,',,,,,,,,''.''''''''',,,,,,,,;;,,,,,,,',,,,,,,,,,;,;;;:::;;;::;;:::;;;;;;;;;,,;;;;;;;;;;::::::::::::::;,''''''''''''',,',;::::::ccllccll:,'''.,:::cccccllllcccc:;:ccc;,,:cllllllllllloooooooooooooooooooooooooooooooooooooooodooooooooodddddddoddoooododdddddddddddddddddooolc,....'',,''',,,,,,''.....'',;;;:::;;;;;:::::cc::ccccllllcc:;,,,,;;;,,,',;;;;,,'''',;::ccc:c:;,''',',
.....................................................................................................................................,:;;,,,,,,,;:::::;;:cc:;'...''',,'.....'',,,;;;;;,,''..'''',,,,,,''''',,,,,,,,,,;::;',,;;,,'',''''',;:::,'.............''',;;;;;;;,,''''',,,;;:;::::;;:::c:::::c:;;;::::;:::;,,'..'',;,,;,,;::;;;:::clloooooooddddddxxddxxxxxxddxxxxxddxxxxxxxxxxxxxxxxxkkkkxkkkkkkkkkkkkkkkkkkkOOOOOOOOkkkkkkkkOOOOkkOkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkxxxxxxxxxxxxxxxxxxxxxxxxxxxdddddxdddddddddddddddooooodddddddddooooooddoooddddddddooooooooooooooooooooooooolcllclooooooooooooloooooooooooollooooooooollllcccc::::;;;,,,,;;;,,,,,,,,,,,''''''''''',,,;;;,,,,,,;,,,,',,,,,,,,;;,,;;;;:::;;:::;::c::;;;;;;;;;;;;,,,,,;;::::::::::;;:::;,,,,'''.....''..',,,,;;;:cccclllc:;,'.'',,:ccccllllllc:::::clc:;;:ccllllllllllooooooooooooooooooooooooooooooooooooooooooooodooooodddddddddoooooodddddddddddddddddooool;,''.';;;;;;,,,,,''''.''''''',,,,,,,;;;;;;;;;;;::::ccllollcc:;;;;;;;;,,,,,;:;;,'''',,;:::ccc:;,'',,,
.....................................................................................................................................,:;,,,,,,,,;:::::;;:c:;,'...''''''.....'',,,,,,,,,,'''..'''',,,,''''',,,,',,,,'';::;',,;;;,,','''',,;;;:;'............'''',,,;;;,,,''..';;;:;;;::::;;;;:ccc:;;::;,,;:::;;;::;,'''.'',;,,,,,,:c:;;:::cllooloooddddddddddddxxxxdddxxxxxddxxxxxxxxxxxxxxxxxxkkxxxkkxkkkkkkkkkkkkkkkkkkkkkOkkkkkkkkkOOOOkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkxxxxxxxxdxxxxxxxxxxddxxxxxxddddddxddddddddddddddddddddddddddddddooooooooooooodddoooooooooooooooooooooooollllcccoooooooooooooooooooooooooooooooooooooolllllccc:::::;;;,;,,,,,,,,,,,,,,,,,,''''',,,,,;;;,,,,,,,,,,,,,,,,,,,,,;;,,;;;;;::;;;:;;::cccc:::::::::;;,,,,,,,,;;;;:::;;;;::;;;;;;,,''.........''',,,;;;:::::cc:;;::;''',;:ccclllllcc::;::cclc::::cloolllllloooooooooooooooooooooooooooooooooooooooooooooddooooooddddddddoooooddddddooddddddddddooooc:;'.',;;::::;;,,,,,,,,,;,''''',,;;;:::ccc:::::ccccclloooolllcc:;,,;;;;;,',;::,,,,,,,,;;:ccccc:,,'''
.....................................................................................................................................';:;',,,,,,,;:::;;;;::;,'...''''''.....',,,,,,,,',,''''...'',,,''''''',,,''''''',;:;'',,,,,,,,''''',,,;;;,'............'',,,,;;,,,'''',,;;;;;::::::;;:::::;;;;;,,,;;::;;;;:;,,''''',;,,,,;;,;cc:,;:ccllooooodddddddddddddddxxdddddddddxdxxxxxxxxxxxxxxxxxxxxxxxxxkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkxxxxkkxxkxxxxxxxxxxxxxxxxxxxxxxxxxxdxxxxxxxxxddddddddddddddddddddddddddddddddddddddddddddddddddddddodddooddoddoooooooooooooooooooooooolcclooooooooooooooooooooooooooooooooooooooollllllcccc::::;;;;,,,,,,,;;;,,;,,,,,,,,,,,,,,,,,,,,,,;,,,,;,,,,,,,;;;;;;,;;;;;;;;;;:::::::cclllcc:::::;;,;;,,,,,,,,,;;;;;;;;;;;;;;;;;;''''''''...''',,,;;;;;:::::::::;;;;;;;;::cccccccc::::cccc:::cloollllooooooooooooooooooooooooooooooooooooooooooooooooooooddoooddoodddoododddodddddddddddddddooollc;,,'',,;;;;,,,''''',,;;;;;;;;;;,;;;;:::cccclllllllllloooollcc::;;;,,;;,,,;,,;;;,,;;;::;;::cc::,''
.....................................................................................................................................',;;,,,,,,',;:::;;;;::;,'...'''''''....',,;,,,,,',,'''...'',,,,''''.''',,,''''''',,,''',,,,,,,,,'..',,,,;,'............',,,,;,,'''',,,,',;;:;;:;;;;:::::;;;;;,,;;;;;;;;;;::;,,''''',;,',;,,,,;cc:;;:cllooodddddddddddddddoddddddddddddddddxxdddxddxxxxxxxxxxxxxkxxxkkkkxxxkkkkkkxxxxkkkxxkxxxxkkkkkkxkkkxxxxxxxxxxxxxxxddxxxxxxxxxxxxdxxxxddxxxxxxxxxxddddddddddddddddddoooddddddoddddddddddddoodddddddxddddddddooodddddoooooooooooooooooooollooolloooooooooooooooooooooooooooooooooooooooooolllllcccc::::::;;,;;;,,,,;;;;;;,,,,,,,,,,,,,,,,,,,,;,,,,;;,;;;;;;;;;;;;;;;;;;:c::ccc::c::clddlcccccc:;;;;;;;;,,,,,,,,,,,,,,;;:;;;;;;;,,''''''''''.'',,,,;;::c::::::;:::::;;;;;:cccccllc:::cccccclllllolloooooooooooooooooooooooooooooooooooooooooooooodddooddooooddooooooooodddoooddddddddddddddddooolc:,'''';::;;,,'''''.';:::::::::;;,,,,',,;::::::ccc::ccccc:;:clc::;,,,,;;;;,,;;;;,,,;;;;;:::::;;,
......................................................................................................................................',,,'',,'',,;:;;;,;::;,'...''''''.....'',,,,,,,'''''....',,,,,''''''',,,,'''''',,,,''',,,,''',,'..',,,,,,'............',,,,,,,'.',,,,,,;::::;;;;;;:::;;;;;,,,,;;;,,;;;;;:;;,,'','.';;,,;,',,';cc:;;:clloodddddddoddddddddddodddddddddddddddddddddddxxxxxxxxxxxxxxxxkkxxxxkkkkkkkkkkkkkxxxxxxxxxxkkxxxkxxxxxxxxxxxxxxxxddxxxxxxxxddddddxxddddxddddddddddodddddddddddddddoooodddddoddddxdddddxddodddddddddddddddoooddddddddoooodooddoooooooolllcloooooooooooooooooooooooooooooooooooooooooooooolllllllcc:::::;;;;;;;,,,,,;:;;,;;;,,,;;;;;,,,,,,;;;,,,,;,,,;;;,,;:;;;;;::::::cccclllccc:clodollllollc:;;;,,,;,,,,,;,,,;;,,,;;;;,,;;;;;,,,,',,'''''','''',;::ccccc::::::;;;::;;;:cccccccc:cccllllllllooollooooooooooooooooooooooooooooooooooooooooooooddddddooooodddoooooooooooodddoddddddddddddooooooll::;,',;::::;;;,,''',;;;;;;;:::::;,,''',,;;;;;;:::::::c:;;;clcccc:;,,,;;;,,,,;;,''',;::::::::;;
.......................................................................................................................................',,''',,'',;::;,,;;:;,'....'''''......'',,,,,''''''....'',,'''''''.',,,'''...',,,,,'',,,,'''''''''',,,,,,'...........',,,,,'''.'',,,,;::;;;;;;;::;,,,;;;,,,,,,,,,,;;;;;;:;,,,,'..';;;,,,,,,,,;:c:;;:clloooodddddddddddddddddddooodddddddddddxxxdddxxxxxxxxxxxxxxxxxxxxxxxxxkkkkkkkkxxxxxxxxxxxxxxxxxxxxxxxxxxddxxxddddddxddxxdddddddddddddddddddddoddoodddddddddddddoooooddddddddddddddddddddddddddddddddddddooooddddddddooddddddddoooooooollloooooooooooooooooooooooooooooooooooooooooooooooooolllcccc:::::;;::;;;;,,,;;,,;;;,,,,,,;;;;;;;;;;;;,,,,,,,;;;;;;::;;;;;::::::::clooollcccoooooooooooc:;,,,,,;;,,,,;,,,,,,,,,,,,,;,;:;,,,,'''''''''''''',,,;::ccc::;::;;,;;;;;;;:c:::ccccccccclllllllloooooooooooooooooooooooooooooooooooooooooooooooooooooooooodddooooodddoooodddddddddddddddddddodooollc:;,,,,;;;::;;;;;;;;,,,'',,;:::;;,,,,,,,;;:::ccccccccccclllllllcc:;,,,;;;;,,,,''',,;;;::::::
.......................................................................................................................................',,,'''''',;;;;,,,;;,,....'''''''.....'',,,,,''''''..''''''''''.''.'''''''....''',,'',,,,,,'''''''''',,,,'...........',,,,''''''''',,;:;;,;;;:;;;,,,,;,',,;,,;,,,,;;;;;;:;,,'''..';:,'',,,,,,,';cl:;:cloooodddddddoooodddodooooooooodddddddddddddddddddxxxxxxxxxxxxxxxxxxxxkkxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxdddddddddddddddddddddddddddooooooooooodoooooddddddddddoodddoodddddddddddddddoddddddddddddxdddddddoooodoodddooodddddddddooolclooooodddooooooooooooooooooooooooooooooooooooooodddoooooollllccc:::::::;;;:;;;,,,,,;;;;;;,,,,;;;;::;;;;;;;;;;;;;;;;;;;:::::::::::::::cclodolclodddddoollllcc;;,',,;;,,,;;,,,,,;;,,,,,,,;;;;:;,'''''','.'','''',,,,;:::;;;;;;;;:;;;:::::;;::cccccllllllllllooolllloooooooooooooooooooooooodooooooooooooooooooooooooooodooooooodooddooddddddddddddddddddddooooooll:;,''',;;;;::ccccc:;,,'',;;;;;;;;;;;,,,;;;::cccccclllllllllllllc::;,,,,,,,'''',,,;;;;;:::
........................................................................................................................................',''''''',;;;;,,;;;,'....''''''......'',,,,,''''''.'''..''''''''..'''''''....''''''',,'',,,''''''.'',',,'..........'''''''...'''.',;;;;;;;::;,,,;;;;,,,,,,,,,,,,;;;;;;;::;,'''''';;,,''',,,;;;;:lc:;:clooodddddooooooddooooooooooooooooodddoooooooooooddddddddddddddddddxxxxxddxxxxdxxddddddddxxxdddddxxddddddddddddddddddddoooddoooooooooddoooodddoooodddodddoooddddddddddddddddoddddddddddddddddddddddddddddddddddddddddddddddddoooolccloddooooooooooooooooooooooooooooooooooooooooooooooooooooollllcccccc::;:::;;;;,,,,,;;;;;;,,,,,,,;;;;;;;;;;;:::;;;;;;;;;;;:::::::::::::coddoollodxxdolllooolcc;'',,,,;;;;,,,,,,,,,,,,,,,,;;;;,,,'.'''''''''''',,,,,;;;;;;;;;;:::::;;;;;;;:::ccccllllllllllloooolllooooooooooooooooooooooooooooooooooooooooooooodooooodooooooddooddoooddddddddddddddddddddooooooolcc;,,,',,;::cclllcc::;;;,,,,,,,,;;;;;;,,,,,,,,;;:::::cccccccccccc:;;;,,,;,''',,,;::;;;;:
........................................................................................................................................''''''''',,;,,,,,;;,'....'''''........',,,,,''.'''''''.'''''''....''''..''...'''''''''''',''''''...''',,,.........'''''''....''..',;,;;:::;;;,,,;;;,,,,,,,,,,,,,;;;:::::;,''''',,,;,,'',,,,;;:;;;ccc:::cllodddooooooddoollllloooolllooooooooooooooooooooooooooooodddddddxdddddddddddddddddddddddddddddddddddddooodooooooooooooooooooooooooddoooddooooooddooodooooododdddddddddoddddddddddddddddddddddddddddddddddddddddddddoddddddollooollooddooooooooooooooooooooooooooooooooooooooooooooooooooooooollccccc::::::;;;;:;;,,,,,;;;;;;,,,,,;;;;;;;;;:::::;;;;;;;;;;;;;;;::::::::coddodollodddoooddxxdlc:,',,,,,,;;;;;;;;,,,,,,,,,,,;;;,,,,'','''''''''',,;;,;;;;::;;::::::::::::::::::cccccccllllllllooollloollooooooooooooooooooooooooooooooooooooooodddooooooooooddddooooddddodddddddddddoooooooooooodooolcc:;,,,,,,;::ccccccc:;;;;,'''',,;:::;;,,'''',;;;;;;;;;:;;:ccc::::::;;,,;,,'''',;::::;;
........................................................................................................................................'''''.'''',,,,,,,,;,'.....''''........'',,,,''..''''''''''''''....''''.......'''''''''''''''''......''',''........'''''''....''',,;;;;:::;;,,,,,,,,',,,,,,,,,,,,;;;:::;;,,,'''',,,;,''',,,,;;;::;:lollc::cllllllllllc:ccc::ccllllccllllloooooooooooooooooooooooooooddddddddddddddddddddddddddooododdddddooooooooooooooooooooooooooooooooooooooooooooododdoooooooooodoodooddoooooddddddddddddddddddddddddddddxxddddddddddddddddddoololllooooddoodddooooooooooooooooooooooooooooooooooooooooooooooooooooolllcccc::::::;;;;;;;,,,,;;;;;;;;;;;;,,,;;;;:;;;;;;;;;;;;::::::::cccccc:ccllodxdoooodddkO00Okdoc;,,,,,,,;;;;;;;;;;;:;;;;;,;;;;;,,,,,,,,,,,,'',,,,;::;;;;:::::::::::::::::::::::clllllllllllllloolloooooooooooooooooooooooooooooolooooooooooooddddoooooooooodddddoooddddddddooodddddddoodoodooddddooollc::;,'''''',,,;;;;;;::::;;;,,,,,;;,,,;;;;,,,,,;;;:::::::ccccccccccc:;;;,,,,,'',,;:::
................................................................. ......................................................................'.'''...'',,',,,;;;,'.......''........''',,,'''''...'''.'...'''....''.........''''''...'''''''.......''''..........'..'''.....',;;;;;::;;;,,,,,,''',,;,,''',,,,,,;;:::;;,,,''''',;;,'''',,,;;;::::cccloolc:;;;::c:;;'',::;;;:::::cclllllllllllooooolloooooooodddoodoooddddoodddddddddddddddodooodoooddoooooooooooooooooooddooooooooooooooodoodoodddddddddoooodddoooddooooddoodddddddddddddddddddddddddddddddddddddddddddddddddddooc:cooodddoooodddddddoooooddoooooooooooooooooooooooooooooooooooooddooooolccccc::::;;;;;:::;;;;;;;;;;;;;;;;::;;;;;;;::;;;;;::;::c:::::cccccccccc:clldxxdooodxO00Okkxxdoc;,,,,,;;;;;;;:::::::::;;;;;;;;;;,,,,,,,,,,,,,,,;;;;;;::::::ccc::ccc::::::::::cllllllllllllllloolooolloooooooooooooooooooooooooooooodooodddddoooooodddooooooooooooddddddooddddddddddddddodddddoooooc::;,,''''''''''',,,;;:ccccccc:;,'''''',;;::;;;,,,;;;::::ccclllllllllccc:;;,,,,'''';:c
...........................................................................................................................................'..'''',,,,,,;;;'........''........','',,'''''...''......''.......'........'''''''...'..''....''...''''..'......''........',;:;;;;;;;,,,,,,,,'',,;,,'''',,,,;;;;:::;;,,,,''''',;,''''',,;;;:::ccccclodo:,;:c::cc:,',;:::;;;;;:ccccclllllllllllooooooooodoodooooooooodddooddddddddddddddddooooooooooooooooooooooooooooodddoooooooooooooodoooodddodddddddddddddoooodooodddodddddddddddddddddddddddddddddddddddddddddddddddddddlcllclooddddoddddddoodooooooooooddddoooddooooooooooooooooooooooooooddddoooolllcc:::::;;::;;::;;;;;;:;;;;:::::c::::;;::::;;;;;:::cc::::cccllccclllccllodddddoodO0Okxxkkxxo:;,,,,;;;;;;;:::::cc::;;;;;;;;;;;;,,;;;;;;,,,;;;;;;;;:::::cllc::ccccccccccccccllllllllllllllloollloooooolooooooooooooooooooooooooooooooooodooooodddddooooooooooooooodddoodddddoooddddddooddooooolc;,''''''''',,,,,,'''',;:::::::;,,,,,,,,,,,;;:::;;;;,,;;;;::ccllllooollllcc:;,,,,,,,,,;
...............................................................................................................................................''',,,,,,;;,'........''..........'',,,''.....''......''.....'''...........'''.......'''........''''..........''......',;;:;;;;,,,,,,,,,,,,,,;,,''''',,,'',;;;::;;,,,,,'''',;;'.'',,,,;;:::cccllllol:',clodoc;::;cdko::;;;:ccccccccccllllllloooooooooooooodoooodddddddddddddddddddddddooooooooooddoooddddddoooooooooddoooooodoooodoodddoodddooddddoooooooooooddoooddodddddddddddddddddddddddddddddddddddddddddddddddodollllclooddddddddooooooddoooooooooooooooooooooooooooooooooooooloooooooooddoooooollcccc::::;::;;::::::::::::::::::;;;;;;;;;;;:;;;::ccccccccccclllllllccllllllodxxxkOkkkkO0OOd:,,,,,,;;;;::::cccccc::;;;;;;;;;;;;;;;;:;;;;;;;;;:::::::clllllcc:ccccccclllllllllllllllollllllllloooooooooooolooooooooooooooooooooooooooooooooooodoodoodooooooddoooddddddoooddddddddddddooddddoc:;'.',,;;;,,'',,'',,,,,,,,,,,,,,,,;::cc::;,,,,,,,,;:::;;;;;;;;;:::::cccllllccc::;,,,,,,,
...............................................................................................................................................'''''',,,,,,'.....................''',,'....''.....''.....................''...................'''''''......'......'',,,;;;;,,,,,,,,,,,,,,',,,''''',,,,'',;;;;;;;,,,,,'...,;;'.'',,,,;:;:::ccclllllc:;clc:,,cddcloo:,::;:dOdlolcccccccccllollloooooooooodddddddddddddddddddddddddddddoooooooooodddooddddddooooooooddddoddoooooooooodddddoooooooooooooodddoddddddddooddddddddddddddddddddddddddddddddddddddddddddddooollcloooooddooodoooooooooooooddooooooooooooooooooooooooooooooooooooooooooooooooollllllccccc:::::::::::::::::::::::::::;;;::::::::cccccccccccccccccccccccccllcclxOOOkkkOO00Oko;'',,,,;;::::::ccccccc:::::::::;;;;:;;;::::::::::::c:::cllllllllcccccccclllllllllooooolllllloooooooooooooollllooooooooooooooooooooooooooooooooooooooooddddoooddddodddddoooooooddddddddddddooddoc:;''',;;;;,'''''''',,,,,,,'''''',,;:cclllc::;;,,,,,,:::;;::::;;;,,,,,;;::cccc::::;;;;,,,
...........................................................................................................................................''..'',,''',,,;,'...................''''''''.........''.............................................''''''.............',;;;;;;,''',,,,,,,,,,,,,,,,,,'''',''',;;;;:;;,,',,'...';;'.',,,,;;;;;:::ccllllllcccc;'':lol:c:;;,;:;lxxolooolodolccccclloooooodoooodddddddddddddddddddddddddddddddooodddddddddoddoooooooooooooooddoodooooooooooooddooooooooooodddddddoddddddddddddddddodddddddddddddddddddddddddddddddddddodddolcldllloooooooooooooooooooooooooooooooooooooolooooloooooooooooooooooooooooooooooolloolllclcccccc::::::::::::::::::c::c::::::::::::::::::::ccccccccccclllllllllcldxk0OkkOOOOkko;''',,;;;:::::cccccccc::::::::::::::::::::::::::::::ccclllllllllcccccccllllllllllolooollllllooooolllooooooollooooooooooooooooooooooooooooooooooodooooodddddooddddooddoooooooodddddoddddddddoddollc;,'',,,,'''',,,,,,,,,'''''''''',,;;:cccc::::;;;,',,;;;;;;:ccc:;,,,,,,;;;:::::::;;;;;,,
...........................................................................................................................................''...'',,'''',,,'.....................','''''........'...............................................''''.............',;;;;;;,,'',,,,,,,,',,,,,,,,,'''''',''',,;;:;;,,',,''..',,'.'',,;,,;;;;::ccccllllllc:;;::::cllc::;;::lllllllloodoodlcccccloooooodddddodddddddddddoooododddddddoddddddddodddddddoooooooooodddoooodooooooooooooddoooooooooddooooodddddddooddddddddddddddddddddddddddddddddddddddddddddddddddoddoooc:cllooooooddoooodooooooooooooooooooooooooooooooooooooooooooooooooodooooooooolllooooooolllllclccc::ccccc::cc::::::::::::::::::::::::::::::cccccccccclllllllccllllox0KOkOOkkxxdc::;,,;;;:::;::ccccc:cc::cccccc::::cccc:::ccc::::::ccccclllllllllllllccllllllllllllllllllllllllllooooooooooolloooollooooooooooooooooooooooooooooddoooooodddooddddoooooooooooooddddoodddddddddoooolc:;,,'''''',;;::;;;;,,,,,'''..',,,,,;;;;,,,,,,,,',,;,,,,,;:cc:::;;;,,;,;:::cccccccc::;
................................................................................................................................................'',''''''''.........''...........'''''''....''''''.............................................'''''............',;;,,,,,,''''',,,,,',,,,,,,''''''''',,'',,,,;;;,,,,,,''.'',,.''',,,,;;;;:::ccclllccccclolc:cllllcccccclllllllooooooooooolcclllooooodddddddddoddddddddddddddddoooooooooddoooddoddoooooooooooddooooddooooooooooddddooddoddddddddddddddddddddddooddoodddddddddddddddddddddddddddddddddddddoddddoolcclllllooodooddoooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooloooooooooollllcccccccccccccccccccc::::::::::::::::::cccccccccccllllllllllllclllllldxkOOkkkO0kdddl:;,,,;;;;;:::ccccccccccccccccc:cccccccccclcccccccclccccllllllllcccccllllllllllllllllllllllllloollloooooooollooooooooooooooooooooooooooooooooooooooooooooooooooooodddodddddddoodddddddddddddooooolc::,,,'',,,;;,;;;;;;;,,'''''',;;,,,,,,'''',,;;;:c:;;,,,;;;:::::::;;;;;;::cccclllllc
................................................................................................................................................'''''''''''.........''............''..'''...''''''.............................................'''''..........',,,,;,,'''''''''',,,'',,,''',''.'''''',,''',,,;;;;,,,'''''..','''''',,;,,;;:::cclllccc::lolccccccccclllllllloooooooooooooodooolcccloodddddddddodddddddddddddooodddooodddddoooddddoodddddodddoddoooddddoddoodddddddddddddddddddddddddddddddddddooddddddddddddddddddddddddddddddddddooodddoooddollooccooooooodddooooodooooooooooooooooooooloooooooooooooooooooooooolllooooooooooooooololllooollooollolccclcccclclllccccccccc:::::::::::::cccccccccccccccclllloolllllllolcloxOkkO0XK0OOdc;',,,,;;;:::clccccccc:ccccccccccccccccllllcccclccllcccclllllllccllllllllllllllllllllllllolllllllllloooooooooooooooolloooooooloooooooooodoooooooooooooooooooodddddoodddddddooddddddoooddddddooooooolcc::;;;,'''''',,;;;,,,,,,,,,,,;;;;;,,',,,,;;cccccc::;,,,,;;;;;;;;:;;;;;:ccccccll
.................................................................................................................................................'''''''''........................''...''.........''.............................................'''.........'',,,,;,,''''''''',,''',,,,''''''''''''',,,'',,,;;;;;,,''''...',,''''''''',;;;::ccccc::c::clccccccclllllllllllooooddoooodddoodolol:cccloddddddddddddddddddddddooddddddddddddddddxdddddddddoddddddddddoooodddddddddoodddddddddddddddddddddddodddddddddddodddddddddddddddddddddddddddddoodddooooooollllloooooooddoooooddddooooooooooooooooooooooooooooooooooooolooooolllloooooooooolllllllllooollloooooolllcccccclllllccccccccccccccccccccccccccccccllccccclllllllllllllllcccoxxkxOKKK00dl;'',,,;;;::::cccccccccccccccccccccccccllllccllccccccccllllllllllllllllllllllolllllllllllolllllllllllooolooollloooollloooooooooooooooloooooooooooooooddooooooddddoddddddooodddddddddddddddddoooooooooollccc:;,,'.''',;;;;;::;;;;;;,,,;;;;;,,,''',;:ccccc::;,,,,,,,,;::::;;;;;::::::c
.................................................................................................................................................''''''''.........................''....'........................................................'''..........',,,,,,,''''''''',,',,,,''''''''.'''''''''''',,,;;;,,,,,'''.'''.''''''''',;;:::cccc::ccc:ccccccclllllllllloooooooooooodddddddooddooocllcllooddddddddddddddddddddddxddddddddddddddddddddddddddddddddddddddddddddddoddddddoodddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddoooollolllloooooooooooooooooooooooooooooooooooooooooooooooooolooooooollllllloooooolooolllllllllllllllllllloolllllllllllcccllllllllllllllllllcccccccccllcccclllllllllllllllllllllccldxxkO00KKkdl;,,,,,;;::::::::ccccccclcclccccccclcccccccccccclllccclllllllllllllccllllllllllllllllllllllllloollllllloooollooooolllooooooolooooooooooooooooooooooddddooooodddoodddooodddddooddddddddddoddoooooooooooolcc:;;,'....''',,,,;,,,,;;,,,;;;;;,,,'',,,,,,,;;:;;::;;;;,,,;;;,;;:;;;;;;,,,
.................................................................................................................................................'''.''''..........................'......''.............................................''......'''''......''',,,''','''''''''''',;,''''''''''''.''.''''.',,,;;;;;,,,,''''''...''''',,,,;:::::ccccccc:cccclllllllllllloooooooooodooodddddddddddddddoolcccoloooddddddddxxxxxxxxxxxdddddddddddddddddddddddddddddddddddddddddddddddoooddodddddddddddddddddddooooooddddddddddddddddddddddddddddddddddooodolcldocclooooooooooooooooooooooooooooooooooolllooooooollloooooooolloooooolllooooollllllllllllollllllllllloolllllllllllcllllllllllllllllllollllllllccccllllllllllllccllllollllollllccldxkOO00K0Odcc:;;;;;;:::::::cccccccccccccccccccccccccccccccllllcccllcclclllllllllllllllllllllllllllllllloooollllllllloollooollloooooooooooooooooooooooooooooodddoooodddddddddooooddoodddoddddddddddoddddddoodoooool:;,'.....''',,'''.''''',,;::::;;,,,,'',;;;;,,'',,;:cccccc:;;;,'',,;;:;;;;,,
..................................................................................................................................................''.'''..................................''.............................................'.......''''''.....',,,,,'''''''''''''',,,,,'''''',,''''....'''''',,,,;;;;,,,,,,''''...'''',,,;,;;::c::cccccccccclllllllllllllooooooooodddooddddddddddxddddddoclolccllodddddddxxxdddxxxxdddddddddddddddddddddddddddooodddddodddddoddddddooodddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddoooooolcccllloooooooooooooooooooooooooooooooooooooolllloooollooooooooooooolloollloolllllllllllllllllllllloollllolllllllllllclllllllllllllllllllllllllllllccccllolllllllllllllllllooollllllooxkOOOkkkdllcc:;;;;;;:::::ccccccccccccccccccccccclccccccccllllllllllccclclllllllllllllllllllllllllllllllllllolllllloollllllloooooooooooooooooooooooooooddodddoooooodooddddoooooooooddddddodddddddddddddddddoooool;''...'',,;;;;,,,,,,,,,,,,;;::;;,,,,,,,,,;;;,,''',;;::cccc:::;;,'',;;;;;:;;
.................................................................................................................................................'''''''..................................''''..................................................'''''''...'''',,,,,'''''''''',,,,,,'''''''',,,''''...'''''',,,;;;;,,,,,,,,'''''''''',,,,;;:::cccccccccccclllllllllooolloooooooooodddodddddddddddddddddooddlllcclloddddddddddddddddddddddddddddddddddddddddddddodddoooodddddddddddddddddddddooddddddddddddddddddddddddddddddddddddddddddodddoooodoooolcoddlclloooooooooooooooooooooooooooooooloooloooolllloooooooooolllllllllllllllollllloollllllllllllllllllllllllllolllllllllllllllllllllllllllllllllllllllllllllllllllllllllllloooollllolllodkkkxxxxoooool::;,;;:::::::ccccccclllcclcccccccllccclcccccccllllllccclllllllllllllllllllllllllllllllllllllllllllllollllllllllooolooooooooooooooooooooddoddooodddddooddodooooooododddddddddddddddddddddddddooool:,''.''',;:::;,,,;;;::;;,''',,,,',;;:;;,,,,;,,,'',;,;;;;:::;:::;,,,,,,,;;;:
................................................................................................................................................'''..'''...................................'''...................................................''''''''''',,,,,'''''''''''',,,,,,'''''''''''''...'''''''''',,;;;;;,,,,,'''''''''',,,,;::::cccccccclllllllllllllooooooooooooodddodddddddddddddddddddddxddddololclollllooddoddddddddddddddddddddddddddddddddddddddoooooodddddddddddddddddddddddddddddddddddddddddoooooddddddddoddoddddooooooooooooollllloooooooooooooooooooooolooooooooooooooooollolllloooooollllollollllolllllllllllloollllllllllllllllllloollllllllllllllllllllllllllllllllllllllllllllllllllllllllllollllllllooolllllooolllodxxkOOOkkkkkkxl;,,;;;;::::ccccccllllllllccccccllcccllllllcclllllllcccclllllllllllllllllllllllllllllllllllllllllllolllllllllloooooooooooooooooooooooooooddoooddddddddddddddodddddddddddddddddddddddddoddooooooolc:,,'.'',,,,,,;,,,,;;;;;;,,,,''',;;:::::;;;,,,,,,;;;;;;;,,,,;,;;::;;;;;,,;
...................................................................... ..... ...................................................................'''..'''...................................''............................................''....''''''''.'',,,,,,,''''''..',;;,,,;,''''''','''''''''''''''''''',,,,;;,,,','',,''''',,;;::cccccccccllllooooolllllllooloooooooddddddddddddddddddddddxxxxxxxddxxxdddodoclolcclooodddddddddddddddddddddddddddddddddooooodddddddddddddddddddddddodooddoddddddddddddoooooddodddddddddoooodooddoooooooooollcloloooooooodddooooooooooooooooooooooooooolllllllllolllllllllloooooolooolloollllllllllllllllllllollllclloolllllllllllllllllllllllcllllllllllollllllllllllllllllllllloollllllllllolllloooollloodkKXKOOkxkOOxc;,,,;;::::ccccccclllcccccccclllllccccllclccclllclllllllllllllllllllccllllllllllllllllllllllllllllllllllllllllooooooooooooooooooooolooddoooooooddddddddddddddddddddddddddddddddddddodddoooooooooooc:;,''....',;;::;;,,,,,,;;;,,,,,,,,;;;,,;;;;;;;,,,,,;;,,,,,,,;;::::::;;,
...................................................................... .............  ..........................................................'....'''................................................................................'''....''''''''''',,,,,'''''''''.';;;;,,,,'..''''''''''''''''''''''''',;;;;;;,,,,,,,,'''',,,;:::cccccclllllllooooooooooooooooooooooddddddddddddddddddddxxxxxxxxxdxxxxxxdddoldxoccccclllodddddddddddddddddddddddddddddddoddoddddddddddddddooddddddddodddddddddddddddddoooddddddddddddddoooooooooooooooolllldlloodddddooodddoooooooooooooooooooolooooloolllollloolllllllloloooloooooolloollllllllllllllllllllollllllllllllllllllllllllllllllllclllllllllooolllllllllllllllllllllllolllllllooolllllooololllooxKXXK0Okxxkkdoc,,,,;::::cccccclllccccllcllllllllccllllcclllllllllllllllllllccllllcclllllclllllllllllllllllllllllllllllllooooooooooooooooooooooooooddooooodddddddddodddddddddddddddddddddddddddooddddoddddddooolcc:;;,,'.',,;::::;;;,,,,,,,,,;;,'''''',,;::ccc:;;;;,,,,,,,,,,,,;;;:;;;;
.................................................................................... .................................................................''...................................'..................................'...............'''''''.''',,,,,,''''...'',,,;;;;,,,''''''''''''''''''''','.'''',;;;;;;;;;,,,,,,''',,,;;:cccclllllllllooooooooooooddooooddoooddddddddddddddddddddxxddddxxxddxdddddddddddoodlcllccloooooddddxddddddddddddddddddddddddoddddddddddddddddddddddddddddddddoddddddddddddddddddddddddddooolloooooodoooollcloooooddddddooodoooodoooooloooooooooooooolllooooollooolllllllllloollooollllloollllllllloollllllllllllllllllllllllllllllooolllllllllllllllllllloolllllllllllllllcllllollllllllllloolllloooollloloodOKKKK0Okxxxxxoc;;,,;;;:cccllllcccllllcclllccllllllllllllllllllllllllllllllccllllcclllllclllllllllllllllllllllllollllllloooooooooooooooooodoooooooooooooooodddooddddddddddddddddddddddddddddddddddddddddddddooollcccc:,,,''';;;:;;;,,,,,'',',;;,''''''',;:cllccc:::;;,,,,,;;,,,;,,,,,,
.................................................................................... ...................................................................................................................................................''''''''''''''''',,,,,,',,''''',;;::c:;;,,,,'''''''''''''''''''''''''',,,;;;;;::;;;;,,,',,,,;;:ccclllllllllloooooooooooodddddddddddddddddddddddddddddddddddddddxxdddddddddddddddddddooooollollllodddddodddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddoolccllcccclllloooooollolloooooddddddoooodooooooooooooooooolooooolooooooooooooolllooollloolllloolllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllloollolloooooooooodkOKK000OOkxddolcc:,,;:::::ccccccllccccclcccllllllllllllllllllllllllllllllclllcclllllllllllllllllllllllllllllllolllloolooooooooooooooooooooooooooooooooooodddooddddddddddddddddddddddddddddddddooododdddddddoooooooolc:,'.',,,,,'',,;;;;;;;;;;,,,''',,,,,;;::::::;;;;;;;;;,,,,,,;,,,,
...................................................................................  ......................................................................................................''...'.....................................''''.''''''''''',,,,;,,,,,,,'''..,;loolc::;;,;;,'''''''''''''..''''''''',,,,,,;;;:;;;;,,,,,,,;;:::cclloolllooloooooooooooddddddooddodddddddddddddddddddddddddxdddddxddddddxddddxxdddddddxddddxlclc::clloooodddddddddddddddddddddddddddddddddddddddddddddddodooodddddoodddddddddddoc;,,;;;;;;;:cccccccoxoloooooddddddddddooooddoooodooooolooooooooollooooooooooooolooollllllooooloooooollllllllllllllllllllllllllllllllllllolllllollllllllllllllllloollllllllllllllllllllllllllllcllllllllllllllllllllllooolllodk0KK00OOkkxxollol:;;;::::::::cccccccccllclllllllllllllllllllllllllllcllllllllllcllcclllllllllllllllllllllllllllllloooooooooooooooooooooooooooooooooooooddddddoddoooddddddddddddddddddddddddddddddodddddddooodooooolc:,',,::;;,,,''',;;;::::;,,'''',,,,,'''',,,'',,::ccc::;;,,,,,;;,
......................................................................................................................................................'..............................''''...'''.'.....................................''''.'''''''''',,,,,,,,,,,,''...';codllc::c:;;;,,,,'''''''''''''''''''''',,,,,;;;;;;;;,,,,,,;;:::ccllloolllooloodoooddddddddddddoddddddddddddxdddddddddddddddxddddddxddxddddddddddddddddddxxddooxoclllcclllooooodddddddddddddddddddddddddddddddddddddddddddddoddddddoodddddddddddl;,,,;,,;;;,;:::clc:cooooddddddddddodddddoooooooddooooooooooooooooloooooooooooolllllooolllooooooooooollllllllllllllllllllllloooollllllllllllllllllollllllllllllllloolllllllllllllllllllllclllllclllllllllllllllllllooooooollllokOOOOOOkxxxxdddxdolc::;;;:::::cccccccllllllllllllllllllllllllllllllllllllllllccclllllcllllllllllllllllllllllllllllooolloooooooooooooooooooooooooooooododdddddddddddddddddddddddddddddddddddddddddddddddooooooooool:;,,;:cccc::;,,''',,;:;;;,,,'',,,,,,,,,''''''',;:cccccc::;;,,,,,
........................................................................................................................................................................................'....'''......''''','.........................'.''''''''''',,,'',,,,,',''''...'cdxoccccccccc:;,,,,,,,'''''''''''''''''',,,,,;;;;;;;;;;;;;;;;:::cccllooooooooodddddddddddddddddddddddxddddddxxddddddxxdddddddddddddddddxddddddddddddddddddddxddddddddoodlloollllloooooddddddddddddddddddddddddddddddddddddddodddddddddddddddddddl;,,;;;;;;;,;:cc:llllloodddddoooooddddddoooooooooooooooooooooooooolooloooooolollllllloolllllooollllllllllllllllllollllooolloooollllllllllllllllllloollllllllllllllllllllllllllllllllllllllllllccclccllcclllllllllllloooooooolloxOO000KK0OOOkxxxkOOkkxolc;;;;;:c:ccclllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllloollloooooooooooooooooooooooooooooooooddddddooddddddddddddddddddddddddddddddddddddddddddoooooool;'',;:cccc:;;;,,,',,,,,,'''',,,;;;;,,,,,,,,,,'',,;;:::::::;;;;;;
.......................................................................................................................................................................................'''''''''''...'',,,,;;'.................''....'''''''''',,,',,,,,,,,,''''''....'lxxdollllocclc;,,,,,,,,,''',''''''''',',,,,,;;;;;;;;;;:::::;::::cccllooooooooodddddddddddddddddddddxxxxdddddxxxxxdddddddddddddddddddddddddddddxddddddddddddddddddxxddddoodxdoodl:cllccllcloodddddoddddddddddddddddddddddddddddddddddodddddddooodoc;,,;;;;;;,,;cc:cloooooooooddoooooooooooooooddoooooooooooooooooollooolloollloollooollloollllllllllllllllllllllllollllllolllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllclllllllllccllllllllllollllooooolldOKKKKKKXXXXXX0OkxxxkO000x:,,,;;::cccllllllllllllllllllllllllllllllllllcllllllllllllllllllcllllllllllclllllllllllllolllloooooolooooooooooooooooooooodooooodoooodddddddddddddddddddddddddddddddddddddddddddoodoooddl;,,'',,,,,,,,,,,,''',,,;;,,,''',;;;;,,,,,,,,,,,,,,''',,',,,;;ccc
.....................................................................................................................................................................................'''''''''''''''''''',;:;,''...........'..'''.'''''.'''''',,,,,,,,,,,,'''''''''...'cddkkkdoodollc;,,,',,,,,,''','''''',,,,,,,,,,;;;;;;;;;::::::::ccccclllloooodddddddddddddddxddddddxxddddddddddddxxdxxdddddddxdddddddddddxdddddxxxddddddddddddddxddxxxdddddddddddolodlcclc:clllllooodddddddddddddddddddddddoodddddddddoooodddooooool:;,,;;;;;;,,,:ccooooooddoodooooooooooooooooooooooooooooooooooooooooollllllloollooollloolloooollllllllllllllllllllllooolllolllolllllllollllllllllllooolllllloolllllllllllllllllllllllllllllcclllllllllllllllllllloollloooollodkOOOO0KKKKKKXXXKOkxxxk00Oo:;;;;;;:cclllccllllllllloollllllllllllllllllllllllllllllllllllllllolllllllccllllllllllllllloolllooooooooooooooooooooooooooooooddooddddddddddddddddddddddddddddddddddddddddddddddddooooooc:;,''''''',;;;;,,,',,,;;:;;,'''',,,,,,,,,;;;;;,;,,'''''''',;:cc
....................................................................................................................................................................................''''''''''''''''',,,,,;;;,''...........'''.''''''''''''''',,,,,,,'',,,'''''''''''',cdx0KOdodxdlc:,,,,'',,,,,'',,,,,,,,,,,,,,,,,,;;;;;;;;;::;:::ccllcccclllooooddddooddddddddddxxxdddddddddddddddddxdxxddddddddddddddddxddxxdddddddddddddddxddddddxxxddxxddddxdxxxdddddooodoccll:;clcccllodooooddddddddddddooooodddddddooooooooolllllcc:;;;;;;;;,,;:ccooooodddooooooddddoooooooooooooddooooooooooooooooololllllllooollooooooolooooolllooolllllllllllllloooollllllllllllllloolllloollloooooolllllloolllllllllllllllllllllllllllllccllllllcllcllllllllllllllllooolodxkkkxxkOOOkkkO0KK0OkxdxkOOxol:::;;;::cccccllllllloooollllolllllllllllllllllllllllllllllllllllllllllllclllllllllllllllloooooooooooooooooooooooooooooodooooddodddddddddddddddddddddddddddddddddddddddddddddddddoddooollc:;,,'''',,;::;;;,,,,,,;:;,,,''',,,,,,,,,,,,,;;;;;,,,'''''',;;
....................................................................................................................................................................................'''''''''''''''',,,,;,,,,'''''.......'''''.''''''''''''''',,,,,,''',,,'''''''''''',ldk00koloddlc:;,,'''',,,,,,,;;;;;;,,,;,,,,,,;;;;::::::::::cccccccccllllloooddddoddddddddddddddddddddxxxxxddddxxxxxdddddddddxddddddddddxdddddddddxddddddxxxddddddddddxdddddddxxxxxdddddddddddoloolclllcllolccclllllclllllllllllllllllloolllldxxdoollc::;;;;;;;,;::clooooodooodoodddddoooooooooodooddooooooooooooooooollllloollooolllllllooolollloolllollllllllloolllollllooolllllllllollollllllllllooollllllllllooooooolllllllllllllllllllllllllllllcclllllllllllllllollloooooodkkkkOO00Okkxkkkkkkkxddddxkxollool:::ccc::cccllllllooooolllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllloooooooooooooooooooooooooooooooooddddddddddddddddddddddddddddddddddddddddddddddddddddddooooollcc:;;;,,;;;,,,,,,,,;;::;;;,'',,,,,,;,,,,,,,,,,;,,,,,,,,,,;;
........................................................................................................................................''''..........................................'''''''','''',,;,,;,,,,'''''...'''''''''''''''''',,''''',,,,'''',,,,,'''''''''',:dkkkxdllodxdooc;,'',,,,,,;;;;:::::::::;,,;;;;:::::::cccccclllllclllllllloloodddddddddddddddddddddxxxdddxxxxddddddddddxxxxxddddddddddddxdddddddddxxxddddddddddddxddddddddddddxxxxxxxxxxxxxdxxxdxddddxdodddolllllcccc:cccclllc:clcc:ldddooooldkxdoooooolc;:;;:;,,:cclooooooodddddddodddooooooooodoooooooddddddooooooooooooooollooooooooolloooooooooolllooooooolloollllllllooooollollllolooooollloolllllllllooooloooloooollllllllllllllllllllllllllllllllllllllllllllllllllloollodO00KKXXX0OOO0Okkxxxkkxdodxxdodxxxdoocc:;:::clllolllooooooooooooooolollllllllllllllllllllllllllllllllllllllllllllllllllllloooooooooooolooooooooooooooooooooooodddddddddddddddddddddoddddddddddddddddddddddddddddddooooooooolllc:::;;;,,'',,,;::::;,,,',,,;;;;;;;,,,,,,,,,,,,,,,,;;;
...................................................... .................................................................................'''''.....................................''..'''''''',''';:;,,,,,,,,''''''.''..'''''''''''''',,,''''',;;,''',,,,,,,'''''',,:ldOOOOOkddddkkddc:,',,,,;;;;;;:::ccccccc:;;;;;::::cccccccccclllllllllllloooloooodddddddddddddddddddddxxddddddddxxdddxddxxddddddddddddddxxxdddddddddxxdddddddddddddddxdddddddddxxxddxxxxxxxxxxxxdxxxddddddddddddoooddoooodoodolcloolcodxdddddooooooodddddl::ccl:,,;:clooooooooodoooooooooooooooooooooooooodddddddoooooooloooooooolooooooooooooooooooolloooooooolllllollollllllooloooolloooooooooooollolllllllloooolloooollllllllllllllllllllllllllllllllllllllloolllllllllllooloxO00000KXXKK00000OkxxkOOxdddxxxxdddddoolc:;;;:clllollllooooooooooolllllllllllolllllllllllllllllllllllllllllllllllllllllooooooooooooooooooooooooooooooooooooooodddddddddddddddddddddddddddddddddodddddddddddddddddddoooooooooooolllcccc::;;;,,,,;;,,',,,;:::;;;;;;,,,;;,,,,,'',''',,,
.............................................................................................................................''....'''''','''...............................'.'''''''''''''''',,,;;;,,,,,,,,,'''''''''''''''''''''''''',,''''',,,''',,,,,,,''''',,:lxO0XXK0KK0kxdxxddc:;,,,,,;;;;::cccc:cccccc:::::::ccccccllllllllloooooooooooooooooooddddddddddddddddddddxxxdddddddddddxdddddddddddddddddddxdddddddddddddddddddddddddddddxdddddddddddddxddxxddddxxddddddddddddxdddddddddddddddxddddddddddddooodddddddddddddolc:;,'',;::loooooooooooooooooooooooooooooooddddoooooooooooollooooooooooolloooolooooooooooooooooolllloooollllloollllllllllllooloooollloollllllloolllllloooooooolllllllllllllllllllllllllllllllllllllllollllllllllllllldkkOkkkkOOO0KK00000OxxkOOOkkkOO00OOOkkxddooc;;;:cclllllloolllooooooooolllooolllloolllllllllllllllllllllllllllllllllllllloollloooooooooooooooooooooooooooooooooodddddddddddddddddddddddddddddddddddddddddddddddddddddooooooooooooooollllllccc::;,,,''''',,;;;;,,,,,,;:::::;;,,,,,,,,,,
....................................................................................................................''''''''''''.'''',,,,,,,'..................................'''''','''''',,,,,,''',,,,,,,,,'''''''''''''''''''',,,,'''''''',,,''',,,,,,''','',;d0KNNXKKK0KKKOxxdlc;,,,,,;;;;::ccccccccccccccc:::ccccclllllooooooooooooddoooooloooooddddddddddddddddddddddxxdddddddddddddddddddddddddddddddddddddxdddddddddddddddddddddxxxdddxxddddddddxddxxddddxdddxxdddddddddddddxdddddddxdddddddddddddddddddddooddddddoooodc,'.',;::clloooooooooooooooooooooooooooooooddoooooooooloooooooooolooooolllllllooooooooooooooooollooooooollooooooollllllloooollllooooolllolooooollllllooooloooollllllllllllllllllllllllllllllollllloollllllllllllllldkxxdddddddxkkO00O00OOkkxxxkO0KXXXXXKK0xddxdc;;;::ccllcllllllllllllooollooooooolllllllllllllllllllllllllllllllllllllllllllllllloooooooooooooooooooooooooooooooooodddddddddddddddddddddddddddddddddddddddddddddddddddddddooooooooooooolllccccc:;,,''''''''''''''''',;::::::,,,,,;;;;;;
....................................................................................................................''''''''',,,,,,,,,;,,,,,'............................'''...'''''',,''',,,;,,''',,,,,,,,'''''''''''''',,''','''',,,,''''',,,',,'',,,,,,,,,,,,,:kXNNXK0KXKKKKOkxl:;,,,,;;;;;::ccccllcccccclccc::ccllllllllllooooooooddooddddddodooooddddddddddddddddddddddddddddxxdddddddddddddddddddddddddddddddxdddxxdddddddxxdddddddxxdddddxxxdddxddxddddddddddddddddxddddddddddxdddddddddddddxddddddddddoodddooodddddddoodolllc;,,;;;:lloooooooooddddoooooooooooooooooooooooooooooooooloooolooooooollllloooooooooooooooooloooooloooooloooooollllloooooooooooooooooolooloooooolllooooolllloolllooollllolllllolllllllllllllloooolllllllllloooodkOOOOkxxkkxxdxkkkkOO00OkxddxkOO000KKK0Okxxxxoc:::ccc:::cccccccclllloooooooooooolloolllllllollllllllllllllllllllllllllllllllllllooooooooooooooooooooooooooooooolloddddddddddddddddddddddddddddddddddddddddddddddddddddddddooooooooolllcc::;;;,,'''''''',,,,,,'''''',,,,,;;,''',,,,,,,,
.........................................................................................................'..''''''''''''',,,,,;,,,,,,,,,,,,,''...........................''''.''''.'',,,,,,,,,,''',,'',,,'''''''''''''''''',''''''',,,,,''',,,''','',,,,,,,,,,,,;cOXK0OOO0KKKXX0kdc:;,,,,;;;;::cllllcllllllllcccclllllooolllooooooodddddddddddddddoooddddooddddddddxxddddddddddddxddddddddddddddddddxxxxxddddddddddxxxxdddddddddxxdddddddddddddddxxddxxdxxxdddddddddxxdddxxdddddddxdddddddddddddddddddddoddddddddddddddoddddodoolcool:,'''';:cooodddoooddddoooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooolllllooooooooooooooooolllolloooooooooooooooollloooooollllllllllloollllolllllolllllllllollllllllllolllllllllolllloxkOKKXXK0kOKK0OkkxxxxxkkO0OkxddxxkOkkxkO00OOkkxdolcllllc:;:::::cccclloooooooloooooooooolloooooooooolllllllllllllllllllllllllllolllllloooooooooooooooooooooooooooooloddddddddddddddddddddddddddddddddddddddddddddddddddddddddooooooollc;;;,,,'''''',''',,;;::;;,,,,,,,,,,,,,,,'''''''''''
..................................................... ..... ........................................'''''''''',,,,,,,,,,,;;;,,;;,,,,,,;;;,,,''......................'''..''''''''''',,,,',,,''''''''''',,''','''''''','''',,,,'',,,,,,,,,,,,''''',,,,,,;,,,,,,,;:oO000OOkkkkO0Kkoc;;;;;;;;::::ccllllclllllooollcclllloooooooooooodddddddddddddodddddddddoooddddddddxdddddddddddddxdddddddddddddddddddddxdddxxxdddddddxxdddddddxxxxdddxxxddddddddddddxxxdxxxxdddxdddddddddddddddddddddddddddddddddolllllloodddddddodddddooooooolc;',:c:;,'',;:cllooooooooooooooooooooooooooolllooooooooooooooooooooooooooooooooooooooooooooooooollllooooooooooooooooooolllloollooooooooooooolllloooooooloolllllooolllllllllllllllolllllllolllllllllllollllllllllokOOkkkkkkkk000000OOOkkddxkOkxdxddxxxxxxddxO0000OOOOOOOOOxxdoolcc::cllllllooolollooooooooooooooooolollllllllllllllllllllllllollolllllloooooooooooooooooooooooooooolloooddddddddddddddddddddddddddddddddddddddddddddddddddddddddooolc;,'''',,,,',;,,,,,'',,;:;,,,'',,,,,,,,,,,,,,,,'''''''
.........................................................................................''''''''''',,'',,,,,,,;;;,,;;,,;;;:;;;;;;;;;;;;;;;,,'...................'.'''''''''''''',,,,',,',,,,',,,'''''''''''''''',,',,,,,,,,,,,,,,,,,,,,,,,,'',,',;,,,,;,,,,,,;lxk0KKXXK00kxxxdc,,,;;;;;:::::clllloolllllooooolllloooooodoooooooddddddddddddooodddddddddddddddddddddddxdddddddddddddddddddddxdddddddddddddddxddddddddddxdxxxxxxxxxxxxddxdddxxdddddddxdxxxxxdddxxddxxxdddddddxxdddddddddddddddoooolcccc:::coddddddooddooooooooolc;,,;::;;,,,;cclllloooloooooooooooooooooooolllllllloooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooloooooooooooooooooollllolllooooooooooollloooooooooolllloooooollllllllllllllllllooolllllllloxkkxddxxkkkkxxxxkO0000kxdddxxxxxdxkkkOOkdddxkkO000KXXXXXK00OOOko:;;:ccccllllllllooooooooooooooooolllllllllollllllllllolllllollllllllllllooooooooooooooooooooooooollloodddddddddddddddddddddddddddddddddddddddddddddddddddoddddooll:'...',,;,,,;:;,,,,,'',,;,,''''''''',,,'''',,,,,,,,,,,
......................................................................................'''''''',,,,,,,,,,,;,,;;,,;;;;;;;;;;;:;;,;;;;:;;;;::;,,'..................'''''',,''''''''',,,,,,,,;;,''',,''''''''''''''',,,,,,,,,,;,,,,,,,,,,,,,,,,,,,,,,,;,,,,;;,,,;;ck0KXNXXXXKKOxdlc:,,,;;;;;:cccclllllooooooooooooollooooooddoooodddddoddddddddddoooodddddddddddddodddddddxdddddddddddddxdddddddddddddddddddddddddddddxddddxxxxxxxxxxxxddddddddxxdddddddddxxxxxddxxxddxxxdddddddddddddddddddddddddoolcclllcccclooddddddooooooooollcc:;;:c:;,,,,;;::::ccllloooooooooooooooolllllclloooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooolloollooollooooooooolooollooooollloooooooooooollloolooollooollollollolloxkkkOO000KK0OOxxdxxxkk00OddddxxxxkkkOO00OkddxkkkkkO0KXXXXK000OOxc,,;::::ccccllllooooooooooooooooollollllloolllllllllllollollllllllllllllooooooooooooooooooooooooolllooodddddddddddddddddddddddddddddddddddddddddddddddodddddddoollc,'...'''''',;;,,,,,,,,,;;,,,,,,,,,,,,''',,;;;,,,;,,;;
.......................................................  ..........................'''''',,,,,,,,,,,,,;;;;;;;;;;;;;;;;;;:;;;;;;;:;;::;;::;;,,''.....'.........'''''''',,'''''',,,,,,,,,;:;;,'''',,''''.',,,,,,,,,,,,,,,,,,;;;;;;,,,,,,,,,,,,,,,;;;;;;,;;;,,:oxkKKXNNNXXXXKOxo:;,,,,,;:::::cclloooooooooooooooooooooooooooooodddddoooddddddddddddoddddddddddddddddddddddddddddddddddddddddddddddddddxxxdddxxxdddxxxxdxxxxxdxxxxxxxxxxdddxxxxxxdddddddxxxdddddddddddddddddddddddddddddddddddddddol:cllllllcccclodooooooollcllc::::;;;;;;,,,;;;;;;:::;:::clloooooooooooooollllloooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooolooooooollllloollloooooooooooooooloolloooooooooloollllollooolllooodxxxxkOO00KXXKKK00Oxxdodk0OkxxdodxxxkkkkOOkxdddxxkkOOO0000KKK00000kdxxdddocc:::cclllooooooooooooooooooolllooolllllllllllloooolllllooooooooooooooooooooooooooooooooooolloooodddddddddddddddddddddddddddddodddddddddddddddooddddddddoooc:;,,''..'''''''''',,,;;;,'',,,,,,,,'''''',,,,,,,,'''
......................................................    ......  ..........'''''''''',,,,;,,,,,,;;;;;;:;;;;::;;:;;;;;;:::::;:::::::::::;;;;,'.......'''''''..'''''''',,,,,,,,,,,,,,;;;::;,,'''',,'''''',,,,,,,,,,,,,;;;;;;;:::;;;;,,,,,,,,,,,;::;;;;;;;;;;oKXXXNNNNXXXKKK0ko;,,,'',,::ccccclooooooooooooooooooooooooooooooodddddooddddodddddoddodddddoddddddddodddddddddddddddddddddddddddddddddddxxxdddxxxxxxxxddxxxxxddxxxxxxxxxxxxxxxxxxxxxxdddxxxxxxxdxxxdddddddddddddddddddddddddddddddooccccccccclllllllllllllc::;::::;;;;,,,,,,;::::;;:::;;,',,::cllllooooooooollooooooooooooooooooooooooooooooooooooooooooolllooooooooooolooooooooooooooooooooollloooooooooooooooooooooooollloooollolllooooooooooooolloooooolooooolllloooooooolllloodkkkxxddxkkO00KKKKK0OkxooddxkOkdooxxkOkxxkkxxddooodkkO0OOOO000OOOO00KKKKKKKOxoc:::ccclloooooooooooooooooolloolllloollllllooloooolloooooloooooooooooooooooodoooooooooollllloooddddddddddddddddddddddddddddooddddoolodddddddddddddddddddollcc:;,,,,,''.'...''''''''''''''''',,,,,,,''''''',,,
................................................................  .......''''''',,,,,,,;;;,,;;;;;;;;;;;::;;;::;;;;;:::::::::::::::::::::;;;;,'...'''''''''''''','''''',,,,,,,;;;;;,,;;:::;'''.',,,,'''',,,,,,,,,,,,,;;;;;;;:::::;;;;;;,;,,,;;;::::;;;;;:;:cxXXXXXXNXXKKKKXK0d;',,,,,,;::cclllooooooooooooooooodooooooooooooodddddoodddddddddoodddddddoooooodddoodddddddddddddddddddddddddddddddddddddxddxxxxxxxdddxxddddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxdddddddddddddddxddddddddddddddoolccc:::cccllllllllccc::::;;;;:::;;,','',,;::;;,;;,,;;,,,,;;::cllloooooooooooooooooooooooooooooooooooooooooooooooooooolllllooooooooooooooooooooooooooooooolllloooollloooooooooooooooolloooooolllloloolooooooooooooooooolllolloollooooooooooloooodxxxxdddxxdxxkOkOO0OkkxddoodxkxdddxkkOOkxxkkkxddoooddxxkkOO00000OkkO00KKXXXKKOdoc;;:cclloooollooooooooooollllllllooooolooolloooooooooolllooooooooooooooooooooooooooolllccloooooddddddddddddddddddddxdddddddddddollloddddddddddddddddddooolcc:::;;;,,'''''''''''',,,',,,,,,,;;;;;;,,',,,,;;;
.....................................................................'''''''',,,,,,,;;;;;;,;;;;;;;;;;;;;;;;;;;;:::::::::::::::::::::::::::;,,,'....''''''''''',,''''',,,',,,,,,;;;;;;;::;;,''.',;;,,,''',,,,,,,,,;;;;::::::::::::;:::;;;;,,;;::::cc:::::;coOXXK000KK000KKXXKx;'''''',;::cclloooooooooooooooooooooooddddooooooooddooddddddddodddddddodoooooddddddddddddddddddddddddddddddddddddxxdddddxdddxxxxxxdddxxxxxxxxdxxxxxddxxxxxxxxxxxxxxxxxxxxdxxxxddxxxxddddddxdddddxdddoodddddddddoolc:::::::ccccllllc:;;;;;;;;,,;::;;,'''';:::;;,,,'',,;;;;;;;;;:llllllllllooooolooooooooooooooooooooooooooooooooooooooolllloooooooooooooolooollolloooooooooolloooolloooooooooooooollooolloooooolllooooloooooooooooooooooooolllooooooooooooooooooodxkkkkkkkkkxxxxdxxxxxkkkxdooododxkOOO0OkxkO0OkxxkxooooodxxxkOO0OOOkxkO0KKXKKKOkxo;,;:ccclooolloodddooooooooooloooooooooooooooooooooooolooooooooooooooooooooooooooooooolcclloooddddddddddddddddddddddddddddddddddoooodddddddddddoooooooodolcc::;;,,,,''',,,,,,,;;;;;;,,,,,,,;;;:;;,,'''',;;,
...................................................... .........''''',,,,,,,,,,,,,,,;;;;;;;;;;;;;;;;;;::::;;::::::::::::::::::::::::::::::;;,'''''''''''''',,,,,,,,,,,,'',;;;;;;;;;;:;::;;,,'',,,,,',,',,,,,,,,,;;;;:::::::::::::::::::::;;;:::::ccc:::::cokK0OOOOOOOkkOKK0ko,''''',,;;::cllooooooooooooooooooooooooooooooooooooodddoooddddddddooddoooooooodddoddddddddddddddddddddddddddddddddddddddddxxdddxxxdxdxxxxxdddxxxxxxxxxxxxxxxxxxxxxxxxdddddddddxxxxxxxdddddxdddddddddoooooddddddoolc::ccc:::ccccc;;,;;;;;;,,;;;;;,,;,,,,,:cc:,,,,,,'',,;;;;;;;,;:ccllllllllollllllooooooooooooooooooooooooooooooloooooooooooooooooooooooooooooooollllllooooolloooolooooooooooooooooooloooooooooolooooooooooooooooooooooooooooooooooolooooooooooodxkO000K0KKK000OkkxddddxxkkkxollodxkOOOOOOOOOkkkO0OOOOxdddddkOOOOkkxxxxOOOOOOOOkxdlccccccccccllllooooodoooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooollcclloodddddddddddddddddddddddddddddddddddddddddddddddddddoooollcc:;;,,,,,,,,,,,,,,,,,,,;:;;;,,,,,,,;,,;;,,,,,,',,,,
.............................................................''',,,,,,,,,,,,;,,;;;;;,;;;;::;;;:;::::::::::;::::::::::::::::::cccc:::::::::::;'.''''''''',,,,;,,,,,,,,,,,,;;;;;;;:;;;::c:;;,,,',,,,'',,',,,,,,;,,;;::::::ccc:ccc::::cc::;::::ccc:::cccccc:cld00KXXKOkxxxkOOxoc,'''',,;;::ccllooooooooooooooooooooooooooooooooooooodddoooododdoooooooooooooooooooooooddddddddddddddddddddddddddddddddddddxxxxddxxxxxddddxddddddxxxxxxxdxxxxxxxddddxdxxddddxxxxddddxxddddddddooooolllcllloooooooooc:clllcc::::::,,,,;;,,,,;::;;;;;;:ccoddxdl;,;:::;,,,,;;;,'''',;:cccccccclllcllooooooooooooooooooooooooooooooooooooooooooooooooolloooooooooooooolccclloolooooooooooooooooooooollooolooooooooooooooooooooooooooooooooooooooooooooollloooolloddddddxkOkkOOOOOO000OkxdddddxO0koloddoddxkkkOOxdxkkkO0KXX0OkxxxkO000OkxxxxO000OOOOOOkxxxkkxxdollc::ccllloooooooooooooooddoooooooooooooooooooooooooooooooooooooooooooooooooollcccoooddddddddddddddddddddddddddddddddddddddddddddddddddooolc,'''',,,;;:;;;;;;;,,''''',;;;;;;:::::;,,,;;;;;;;,,;;;
..........................................................''''',,,,,,,,,,,;;;;;;;;:;;;;;;:::;;;;::::::::::::::::::::::::cc:::cccccc::::::::;;''','''''',,;;;;;,,,,,,,,,,,;;;;;;:::;;:cc:;;,,,,,,,,,,,,',,,;;;;;;;:::::::ccc::ccccc::c:;;::::cccc::cc:ccc::cd0XXXXKkxxxxxxdl:;,'''',;;::ccllllooooooooooooooooooooooooooooodooooooddddddoooddoooooooooooooddoooooooddddddddddddddddddddddddxxddddddddxdxxxxxxdxxxxxddddxxddddxxxxxxxddxxxxxxxddxxxxxxdddxxxxddddddddddddddooolllllccllclllloooooccccccc::::;,,,;,,,,,,;;:::;;;;;,:cdOOkkxl;,,;;:;;,,,,,,,'''',::::cc::::cccllloooollooooooooooooooooooooooooooooooooooooooooooollooooooooooooooolllooooooooooloooooooooooooooooooooooooooollooooooooooooooooooooooooooooollloooolllooollldxxxxdodxxxxkkxxxxkkkkxxdddddxOOkxxkkxxdodkxkkOkdxOOO000KKK0OxxxxxkkO00OkxxkO0K00OO000OkOO0KKKOOkdoc:::cclooooooooooooooooooodoooooooooooooooooooooooooooooooooooooooooooooollcccloodddddddddddddddddddddddxddddddddddddddddddddddddddoool:'..'',,,;;;,',;::;;;,,,,;;;:::::c:::;;,,,;::::;;,,;::
......................................................'''''',,,,,,,;;;,;;;;;;;;;;:::;::::::::::::::::::::::::c::c::cccccc::cccccccccccc:::;;,'',,,,'',,,;:;;;;,,,;;;,,;;;;;;:::::::;:cc;,,,,,,,,,,,,,,,,,;;;;:;::::cc::cclcccccccccccc::::::cccccccccccc:clkXXXK00OOOOkdoc;,''''',;:::ccllloooooooooooooooooooodooooooooooodddoooooooddoooooooddooooooooodddooooodddddddddddddddddddddddddxddddddddddddxddddxxxxxxdxxxxxxddxxdddxxxxxxxxxxdddxxxxxxdxxddxxxddddoooooooolllllooooolllllllllllccccc:ccccc::;,''',,,,,,,;:ooc;',,,,;;::::col;,,,,,,,,,,,,,,;,,,,;:cllcc::::::ccccccllllllllooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooloooooooooolooooloooooooooooooooooooollllooooodkkkOOOOOOO000OkxxxddxxkxdooodxxkO000OOxoddxxxxxdxkOOOOOOO000000OkxxxkOO0OOxxxxkOOOOOOOOkxkO000OOO0kolc::cllooooooooooooooooodooooooooooodoooooooooooooooooooooooooooooooooollcccllooddddddddddddddddddddddddddddddddddddddddddddodddddoooc;;,,;,,'''''..',,,,,,',,;;;,,;;;:;;;'''',,,;,''''',,,
....................................................'''''',,,;;,,,,;;;;;;::;;;::;;;;;::::::::::::::::::::::cccccccccccccccc:ccccccccccc::::;,'',;;,,,,,,;:;;;;;,;;:;;;;;;;;;:::c:::::::,,,,,,,,,,,,,,,,,;;;;::::c:cccccccllccccccccllcc:cccccccllccccc:::d0KNXK00KXXXK0dl:,'''''',;;::cclooooooooooooooooooooooodoooooooooodoooooddooooddooddodddooooodddddddddddddddddddxdddddddddddddddddddddddddddddxxdddddxxxxxdxxxxxxddddddddddddddxddddddddddxxxddddolccllclllllllloooooooooolllllcc::::::c:cccc:;;,''',,,,,,,,:cddc,..',;;;;,,,,,,;;;;;;,,,,,,,;;;;;;;;:llllc:;;;;::cclllllllllllllloooolooooooooooooooooooooooooooooooooooooodooollooooooooooooollloooooooooooooooooooooooooooooooooooooooooolooooooooooooooolooooooooooolloolldk0O0XXXXXXXXNXKK00OxxdxkkkxddooddxxkO0OxoddddoddxxxdxxxxxxdddxkO0K0OOkkkO00Okxdx0K0OkxxxdddkkkkkkkOOkxo:::ccloooooooooooooodooodddoooooodddoooooooooooooodooooooooooooooollllllcccllooodddddddddxddddddddddddddddddddddddddddddddddddoodooolllllcc::;,,,,,,,,,'''''''''.''''''''..''.'''...'.'',
.................................................'''',,,,,,;;;;;;;;;;;;;:::;;;::;:::;::::::::::c:::::::::ccccccc:::ccccccccccccccccccc:::::;;,',;,,;;;,;;:;;;;;;;::;;;;;;;;:::::::::c:;,,,,,,,;;;,,,;;;;;:::::::ccccccccccclllclcccccccc:ccccccccclcc:ccoOXXKKKKKKXNNXKxl:'''',,,;;;:ccloooooooooooddooooooooooooooooooooodooooooddddooooodddooodddooddddddooddddddddddddddddddddddddddddddddddddddddddddddddddxxxxxxxddxxdddddddxxddddddooollooooodxdoolllcccllllollclloooooooooooolllcc::::::::::ccc:,''..',,,,,,,,;;;;,'..';;;;;;;;;;,,,,,,,,;;,,,,,;;;;;;;:lllll:;;:ccllllllllooooooooooooooooooooooooooloooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooolloooooooooooolldO0OO00K000KKKK0000OkkxxkOOkxoodxkkxxxxxdooddoooddddodxxxxdddolodkkOOOkkkO0KK0OkkO00OOOxdoodk00OOkxxkkxdl:;::cclloooooooooodddoooddooooooddddooooooooooooooooooooooooooooolllolllccclooodddddddddddddddddddddddddddddddddddddddddoooddoodoooooooollllcccccccc::;,,''''....'',''','''''',''....',,
..............................................'''',,,,,,;;,;,,,;;;;;;;::;;::;;::::::;:::::::::::::::::::ccccccccc:::ccccccclcccccccccccc:c:;,,,;;,,;:;;;;:;;::;;;:;;,;;;;::::::::::cc:;,,;;;,,;;;;;;;;:::::::::ccccccccccccclcclcccccccccccccccccllcc:ldk000OO00KKXXNNKdc;'''',,,;;::cllooooooooooodddooooooddooooooooooooddooooooddddddoodddddddddddooddddoddddddddddddddddddddddddddddddddddddddddddddddddddddddxxxdddddxdddxxxxxxxxxdollllccllloodollcccclloolloolllloooooolllollllc:::::::::::::c::,....',,,,,,,,,,,,,;;,,;;;,,,,,;;;;,,,,,;;,,,,;;,;;;,;:clolllc:;:ccllllllllllooooooooooooooooooooooooooooooooooooooooooooooooooooooooooolooooooooooooooooooooloooooooooooooooooolloooooooooooooooooooooooooooooooooolllloooooooodxkxkkkOkkkkOOkkOOOOkxxxkOOxdooxkkkkkkxxdooodooodoooooodddddddolodddxxxxxk00K0OkkxxkOOOOkdookOO000kdxkxxdoccc:::clloooooooooodddooooooooooddoooooooooooooooooooooooooooooollloollcccloodddddddddddddddddddddddddddddddddddddddddddooddddddoooooooooloolllllllccc:;,''....'',,,',,;,'''',''...''''
..........................................''''',,,,,,;;;;;;;;;;;::::::::::::::::::::::::::::::::::ccc:::cccccccccccccccccccccccccccccccccc:;;;;;;,;;:;;;;:::::;;;;;;;;::;:c::::c::ccc:;,,;;;;;;;;;;;::::::::::ccccccccllcccccccccccccccccccccccccclccldkkOkkkkkkOO0KKKOl;,''',,,;;::cloooooooooooooodoooooodoooooooooddoodddoooooooodddooodddodddddddoodddddddddddddddddddddddddddddddddddddddddddddddddddddddddddxxxxddddddddxxxxxxxdoolccccllcccccllccccccllllllooolllllllllllllllcc:::::::cccccccc:,,''..',,,,,,,,,,,,;;,,,;;,,:ll:;:;;,;;;;;;,,,,;,,,,;;:llloollc::cllcccllllllllloollooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooloooooooooooooooooooooooooooooooooooooooooooooollloooooooollooolodxdxxxkkkkkkkkkkkxxxxxkOkxddddddxOOOOkkkkxxxxxxxddddoooooololloooooooooooodddxkkkxxxddxxkO0OkxxxkkO000Okkkkxxxxxddllc:cloooddoooddooooooooodddoooooooooooooooooooodooooooooollloolllccloooooodddddddddddddddddddddddddddddddddddddddddddddddooddooooooooooooooolllc::;,'..',''''.',,,'''',,,,,,,,,,
......................................'''',,,,,;;;;;;;;;;;;;;::::::::::::::::::::c:ccc:::cc::::::cccccccccccccccccclccclcccccccclllcccccclc::;;;;,,;:::::;::::;:;::;;;;;;:c:;:cccccc:;;,,;;;;;;::::::::::::::ccccccccclllcccllllccccccccccccccccccccdxO000OOOkxxkkkxxxo:,,',,,;;::clllllloooooooooooooooooooooddoooodddoodddoooooooodddoodddddddddoodddddddoodddddddddooodddddddddddoddddddddddddddddddxdddddddddddxxxddddxxxddddxdddlllccccccccccccccccccccllllooooolcccccllccccccc::::cccccccccclll;'''...',;;;;;;;,,''',,.';:;';:::::;,;;;;;;;,,,,,,,;;;:llllllccccclooooololllllllllllloooooooooooooooooddoooooooooooooooooooooooooooooloooooooooooooooooooooooolooooooooooooooooooooooooooooooooooooooooolooooolloooooooloooooloxkkO0KKKKKKKKKKK0OkxxxkOOOkdooddxkO000OkxdxkkkxdddddoooooolllloddddooollloooloooodolcldddkOOOOOkkxdxO0OxxxkkkkkOOOkdl::ccloooooodooodddddddddddoooooooooooooddooooooooooooooolloooolcccloooooodddddddddddddddddddddddddddddddddddddooddddddooodddoooodoooodooooooollc::;,,'''....'''''..''',,,,,'''
.....................................',,,,,,,,;;;;;;;;;::;;;;:::::::::::::cccc:ccc::ccccccc:::cccccccccccllccccccccclllcccccccclllllccccclcc::::;,;::::::::::::::::;;;;;:cc:;:cccccc:;;,,;;;;;;:::::::ccccccccccccccccccccccccccc:cccccccclcccccccld0XXXXXK0kkkkOOxoolc,''',,;;::cloolloooooooooooooooooooooooooooooddddddddoooooooodddddddoooddddoooddooodddddddooooooooddddddddddddddddddddddxdddddddddddddddddddddddddddxddxdddddocccccccccccccccccc::::cllloooooll::ccccccccccc::::cccclccccclllc;,,'...',,;::;;;;,,,,,,',:c;,''';;,,;;;;;;;;,,,,,;;;::cllllcc:;::cloooooooooooollllllloooloooooooodooodddoooooooooooooooooooooooooooooooooooooooooooooooooooooolooooooooooooooooooooooooooooooooooooooooollooooooooloooooooollodOOO0KKXXXXXKKXXXXK0OkxxxkOOxddxxxxxkOOOxdddxxddddddddddddooodxxkkkxxxxxdlllooodooolc:clodxxkkOOOkxddxkkxdddxxddkOOOkxdoc:cloooooooddddddddddoooooodddoooooooooooooooooooooooooloooolccclloooodooooddddddddddddddddddddddddddddddddddddddddddooddddddoooooooooooooooolllc::;,,',,,,''......''',,'''.
..................................'''',,,,,,,;;;;;;;;:::::::::::::::::::cccccc:cccc:::ccccccccccccccccccccllcccccclllllcccccclllcllccccccccc:::;;;::::::ccc::::::::;;;:;::::::cllc:::;;;;;;;::::c:cc:::cccccccccccccccccccccccccccccccccccccccllcloOXXXXXXK0xxxkOOdlc:;''',,,;;::cloooooooooooooooooodddoooooooooooddddddddddddddooooddoodooooooddddoodoooooddddddooooddddddddddddddddddddddddddddddddddddddddddddddddddddddddxdddoolccccccc::::::cllc::::ccllllooolcccccccccccccc:::ccccllllclllllcc:,,'....',;::;,,,,,,,,,';::;''',,,',;;;,;;;;;;;,;,;;:cllllc::;;;::cllloooooooooollllllllllooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooollooooooooooooooooooooooooooooooooolllloooooooollloloooooloox000OO000KKKK00KKKK0OkkxdxkkxdxkOOOkkkxkxxxddxxxxxxkkkkkkkxddxkkkkxxxkO0kdoooooddddolllllloddxkOOkxdddxkkxxddooodxxkkkkkoc:cllooooodddddddddddddooooddooooooooooooooooooooooooollooolcccclloooddoooddddddoodddooddoddddddddddddddddddooodddddddooddddoooooooooooooooooollcc::;;;;;;,''..''',,,,,,'''
.................................',,,,,;;;;;;;;;;;:::::::::::::::::cccccccccccccc:cc:cccccccccccccccccccccllccccclllllclllcccllcccccccccccc::::::::c:::cccc::c::::;;;::::::::cccc:::;;;:::;::c::cccccccccccccccccccccccccccccccccccccccccccccccccoxOKK0O0K00Okkkkxlc;,,''',,;;::clooooooooooooooooooooddoooooooooooddoodddddddddoooooooddddddooooddddooooooooddddddddoddddddddddddddddddddddddddddddddddddddddddoddddddddddxddddddllc::::::::;;::cclcc::cclllllllllcccclllcc::::::::cccccllllllllllllc;,.......',,',cldc''';cll:;,:loccoc;,;;;;;;;;;,,,;::cc::cccccclllllllllllooooooooollllllllllooooooooooooodoooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooloooooooooooooooooooooooollllllllolloooooloooooooooooxO0OkkkkkkOOOOkkkkkkkkkkkxdddddxkkOOOOkkkkkkkkkkxxxxxxkkxxxxxkkkOkkxxkkkkkkxddddxkkkxxddoollllooddoooddxkOOOkxddoodxkkxxdolc:cclllooooooddddddddooooooooddoooddodoooodoooooooolllloollcccclooooooooodddddoooooooooodddddddddddddddddoooooooddooooodddodddoooooddoooooooollc::::;;;,'''',,;;,,,,,,'''
.............................''',,,,;;;;;;;;::::;;::::::::::::cccccccccc::ccccccccccccccccccccccccclcccclcclllclllllclcllllllclcccllccllcc:::ccc::ccc::ccccccc::::;;::::::;:cccc:::::::::::::::::ccccccccccccc:ccccccccccccccccccccccccccccclccc:ldOKKOkxkO0KKOxdo:;,''''',,;:cclloooodooooddoooooooooooooooooooooooooooddodoooooooddoddddooddddoodddoooooooooooddddddddddddddddddddddddddddddddddddxxdddddddodddddddddddddddooollccc:c:::::::::cccccccccllllllllccccclloooollc::::cccclllcclllllllllll;'.........';:cc:;;;cloolc:lolccoc;;;;,,,,;;;;;;;;;;;::cloooooooooolllcllllllooloolooolllloooooooooooooodooooooddooooooooooooooooooooooooooooooooooooooooolooooooooooooooooooooooooooooooooooooooooollllloollllooollooooooooodxxxxxxxkkkkkkkxxxddddxO0OxdooddxxxxxkOkkkkOO000OkxdddxddoddxkO000OO00OkkOOkxddxxkkOOOkkOkxolcclllllloddxxkOOOOkdooxOO0Okkxolc:::cclooooooodddddddddooddddooooooooodddooooooollolllllllcc:cooooooddooodddoooooddddoddooooddoooooooooddooooodddddddoddooddooooooddooodooollc:::;;,,'..',:::;,'',,,'''
............................',,,,;,;;;;;;;;::::::::::::::ccc:::cc:cccccc:::cccccccccccccccccccccccccccclccllllcllllllllllllllcccccccccllccc:ccccc:cccccccccc::::::::::::::;:ccccc:::::;::::::::::ccccccccccccccccccccccccccccccccccccccccccclcc::ldOKOkxxkkOKKOdlc;,,'''',,;;ccllooooooooooooooooooooooooooodooooooooooooddddoooodddddddddoodddooodddooooooooooodddddddddddddddddddddxdddddddddddddddxxxdddddooddddoddddooooollccccccccccc::::cccclc:cccclcclccccccc:cllooooolcc::ccllllcclllllllllllllc:,''..'...';;,,;:::cccllc::;;;;,,,;::;,,;;:;;;::::;:cclooooooooooooolcccllllooooooooooooooooooooooooooooooooooooooooooooooooooooolooooooooooooooloooooooolooooooooooooooooooooooooooooooooooooooooooollooollllooollloooooooddxxdxxxO000000000OxdddxkOOkkdoodxxxxkO0OOO00000OkkxxkkkxxddoodxkOOkkO0OOkkkkxxxxkxxxkOkkkOkxoclllllllloodxxxkkOOkxdddxkOOOOkxdlcccccclooooodddoodddddoddddooddddoooddddoloooooooollllllcc:clooooodddoooooooooooddooddooooodddoddddooddoooodddddddoooddddooooodddoooodooollccc:;,,''''',,;,,'.'',,'''
.........................'',,,,,;;;;;::;;;;::::::::::::cccccc::ccc::ccccccccccccccccccccccccccccccccclllllllllcllllllllllllllllllllllcclllc:cccccccccccccccc:::::::::::::cccc::cc:::::::cccc:::ccccccccccccccc::cccccccc::cccccccccccccccccccc:::ok000OOOOOOOOxlc:,'''',,,;;:ccllloooooooooooooooooooooooooodoooooooooooodddddoooooddoddodooodooooodoooooooooooodddddddddddddddddddddddddddddddddddddxxdddddooodddoooollllllllllllllllllcccccccllllc::ccc::cccccc:::;:cllooollccccllllllllllooollooooolllc;,'........''',,,;::::;;,,;,;;;,,;:::::ccccc:::::clloooooooooooooollllllllloooooooooooooooooooooooooooooooooooooooooooooooooooloooooooooooooollooooooooooooooooooooooooooooooooooooooooooooooooooooooooolllloooooooolooooodkOO00KKKKKKKKKKK0OkkxxxxkOOxdddxkkkk000OkkkkkkkxdddxdxxxkxoooddxxkkkxxxdddddxxxxdddddddddxkxxxddoollllllloodddxkkkxxxxxkOO0Okdooool::clloooddddddddddddddooddddddooodoooooooooolllllllcccccllooooodddoooooooooodddoooooodddooddddooddooddddddddddddddddooodddddoooooooollcc:::;;,,,',,,,'''''''''''
......................',,,;,;;;;;;;;:::;;;;:::::::cccccccccccccccccclccccccccccclllccccccccclccccllllcllllllllllllllllllllllllllllllllllllllccccccccccccccccccc::::::::::ccc:::::::::c:::ccc:::ccccccccccccccccccccccccc:::ccc:ccccccccccccccccclkKXXXXKKK0Oxdoc;,'''',,,;:::ccllloooooooooooodooooooooooooooooooooooooooooodoooooooooodddddoooddoodoooodoooodddddddddddddddddddddddddddddddxddddddddxddddddoooooollcccclllllllllllclllllllllllllcllllllllcccc::::;;;;:cclolccccccllllllllloooolloooooooolcc;'.............,:;,,,''',,;::;,;:cccllllcc::clllooooooooooooloolooollllcloooooooooooooooooooooooooooooooooooodooooooooooooooooooooooooooooollloloooooooooooooooololloooooooooooooooooooooooolooooooooolollllooooooooolodkKKKKKK0OOO000OOOOOkOOkdodxkxxxkOOkxxxxxdddddxkkkxxxxddodxxxxkkkkO00OkkxxddooooodooddddooooodxO0OOkxxxxdllllllloodxkxxdxxxO0KOdloodooc::ccclooddddddddddddooooooddooooooooolloolllllllllcc:clooooooooooodddooooooodoooddddooddddooooddodddddddddddddoodooodddddooooooooollc::::::;;;;;;;;,,,;;;;;;;,
....................'',;,;;;;::;;;;;::::;::::::::ccccccccccccccccclllccccccccccclllcccccccclllcccllllllllllllllllllllllllllllllllllllllllllllllccccccccccccccccc::cccc::cccc:::::::::c::::c:cccc:cccccccccccccccc:cccccccccccc:ccccccccccccccccld0KKXKKKKXKOdol;,,'''',;;;:ccclllloooooooooooddooooooooooooooooooodoooooooooodooooooodooddddooodddoooooodddoodddddddddddddddddddddddddddddddddddddddddddddxxdoooollcccllllllllllccccllllloooollllclloooooolccc:::::;;;;::::c:::ccclcllllllllllllllooooooolllc;,'....'......';,'',;;:lllccccclllllllccccclllooooooooolllcclllllllollllooooooooooooloooooooooooooodoooooooooooooooooooooooooooooooooooooollooloooooooooooooooooooolloooooooooooooooooooooooooooooooooooooooooloooooodkO000OOOkkkkkxxxxxxxkkOkdoodddxkO0OkkkxdddddxxkOOOkkxddoooddkOO00OOOOOkkkkkkkxdddxxxxxxxddollooxO000OkO0Oxdollllllloddooddxk00kolodxkkxolc::cloooddddddddddddooooddooooooooollooollllllllcc:clloooooodooooooooooooodoooddddoddddoodddooooddddddddddooooooooddddoooooodooolcc::::::;::;;;;;;;;;;;;:;;;
..................'',,,,,;;;::::::;;:::::::::::ccc:ccccccccccccccclllcccccclllccccccccccccccllllllcllllllllllllllllllllllllllllllllllllllllccccllcccccccccccccccc::cccc:cccc:::c:::::cc:::ccccccccccc:::c:cccccc::ccc::cccccc::ccccccccccccc::ldkKKK000O0KKOdol;''',,,,;;;:ccllllloooooodoooooooooooooddoooooooooooolooddooooddoooooddooddooooodddoooooddddooodddoddddddooddddddddddddddddddddddddddddddddddollllccccccccccccccccclllollloolllloollloolllllcccccc:::;::::::::::cclllllllllllllllllooooooolcccc::;,,,,'''''';:;cldkkkOOxooooooooolc::cllllooooooooollcccccllcclloollllooooooooooooooddoooooooooooddooooooooooooooooooooooooooooooooooooolloooooooooooooooooooooooolooooollooooooooooooooooooooooooooooooooollloooookOOOkxxxxkkkkxddddddxxkOkxxdooldkOOOO0OkxxdxxkOOOOkxxdddoooloxkOOOOkxxkOOkkOOOOOkkkOOOkkkxddlloddxkkxxxO000OkdollooollllllodxxxdooddxOO0Oxo:;:clloooooddddddddoooodooooooooooloooolollllllccccclllooooooooooooddooooddoodddddddddooddddddddddddddddddoodooooooddoooooddooolcc::::::;::;;;;;;:::::;;;,,
.................,,,,,,;;;;;:::::::::::::::::::cccccccllccccccccccccllllllllllcccccccclllllllllllllllllllllllllllllllllllllllllllllllllllllcllcllllllcccccccccccccccccc::ccc:::::::::::::::cccccc:::::::::ccccc:ccc::ccccccccc:cccccccc:cccc:cdO00O00K0000Okoc:,''',,,,;:::cclllloooooooooooooooooooooodoooooooooooooooooooooddddoooodddddooooddoddoodddddddddddddddddddddddoodddddddddddddddddddddddddddddolccccc:::cccccc::ccclllloolloodddoooooooolllccccccccccccc::::::::cccccllllllloooooolllooooolllcccccllllllccccclllodxxkkxxxdooooooolcccccllloooooooollllccllcccccclooooooolllooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooolooooooooooooooooollloooooooooooooooooooooooooooooooooolllooollooooodxkkxkxkkOKKKK0kxxdddddxkkkxxooodxxxxO0000OkkkkOkkxdooddddolcloddxxxdddxxxxxxxkkkkxkkOOkxxxddoloddxxxdoodxkO000kooodxdollllcclooollooodxkO0kollccccclooodddodddoooooooooooooooooooollllllllccc::clllloooooooooooooooooodooddooooooooddddooooddddddddddoddddoooodoooooooooollcc::::::::::::;;:::::::;;,,
..............'',;;;,,;;;:;::::::::::c:::::cccccccccccllllccclllcccccccllllcllllccllccccllllllllllllllllllcllllllllllllllllolllllllolllllllllllllclcccllccccccccccccccc::cc::::ccccccccccc:ccccccc:::ccc::ccc::cccc::cccccccccc:cccccccccccc:cdkOkxkOOOOkxxdc;,,'''',,;;::ccllooooooooooooooooloooooooooooooooooooooodoooooooooddddoddoodddddodddddddddddddoodddddddoodddddooooddddddddddoooloodddodddooollccccc::::clllllcccclllllllooooddddddooooollcccccclcccccllcc:cccc::ccccllloollloooooollllooolllllllloooooooooooooddddddddddddoooolllc::cloooooooooooolcclllllllcccclloooooooooloooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooolloooooooooooooooolooooooooooooooollooooooooooooooooooollloolllloooodxxxkOO00KKKK00OOkxxddoxkOkkxdddxxxxxxkOOOkkkkOOOOkxxddddxxdooodxxxxxxxdddoooddxxdoodxddooolllloodxkkxxddoodkO0kdooodddooolc:clllllllloooxkOOOxoc:;:clooooooddddoooooooooooooolllllllllllllccc::cclllloooooooooooooodooddooodddoodddddooooooooodddddddddddddddddoooooooooolcccc:::::::::::::::::::::;;;
.............',,;;;;;;;;;:::::::::c::c::::ccccccccllccllllcclllccccccccllllclllccclllccclllllllllllllcllllllllllllllllllllllllllllllllllllllllllcccccclllccccccccccccccccc:::::cccccccc:ccccccc:c::c:ccccccccccccccccccccccccccccccccccccccc:cdkkOOkkkxxxddoc;,,''',,;;:::ccloooooooooooooooooooooooooooooooooooooooooooooddooooodoodddddddddddddddddddddddooddddddddddddddooooooddoooddddoollloooooollccclllcc:::::clllclccccllllllloooodddddddooolllllccccllllllllcccccccc::ccllllllllollloolcllllollllllloooooooodooooddddddoddddoooooollcccccloooooddoooollccclloolccccccllooooooooolllooooooooooooooooooooooooooooooooooooolooooolllooooooooooooooooooooooooooooooooooollooooooooooolllllooooooooooooooooooooolooooollllllodxkk000000000OOkkkkkkxdoxkkkxddxxkkkkkxxxxddxxxkkOO000OxddxxkkkkkOOkkkkkkkxddoooooloddxdooolcllloddxkkOOkxdoloxkxdoooodooolollccccllllllloodxkkxdol:::cloooooddddooooooooooooollllolllllllllccc:::ccllloooolooooooooooooodddodddddddooooooooooooddddddddddooooooooooddooooolcccc:::::::::::::::::::;;:::
...........'',;;;;;;;;;::::::::::::::::ccc:ccccccccccccclcclllllccccclllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllcclcclllccccclccccccccccccccc::::cccc:::cccccccc:::ccccccccccccccccccccccccccccccccccccccllok0KXXK0000Okkd:,,'''',,;;:::clloooooooooooooooooooooooooooooooooooooooooooooodoooooooodddddddddddddddddoodddoooddddddddddddddooooooooooooooooooolllllllccclllllcc::::::cccccccccllllllooooddddddddooollllllllllooolllllccccccccccccccllolllooooolllllllllloooooooooooooddoooooodooooooooooolcc::cloooddddoooollllccllolllccclcllloooooooooooooooooooooooooooooooooooooooooooooooooooooooolooolooooooooooooooooooooooolloooooooooolllooooollllllloolloooooooooooooooooloooooollloodxkkkkOOkxxxxxxxxxxkkkkdooddxdddddxkOOOOkkkxkkOO000000OOkkxdodxkOOO000OkkOOkkkkxxdddxOOOkxdolllloddxxkxxxxdollllooddxxxxxxddddddollccccccccloodxddddol::clllooooooooooooooooooollllllooolllllccc::::cllllolllloooooooooooooodooooddddodddoooooooodddddddddoooooooooddddooooolccc::::::::::::::::::::;::::
........'',,;;;;;;:::;::::::::::::::cccccccccccccccclccclccclllllccccllllllllllllllllllcllllllllllllllllllllllllllllllllllllllllllllllllcccllllcclcclccccccllccccccccccccccccc:::c::ccc:::cccccccc:::cccccccccccccc:cccc::cccc:cccccccccclldO0XNNXXKKXXXXKKkc,''''',,;;::clloooodoooooooooooooooooooooooooooooooooooooooooooodooooddddddddddddddddddddddddoooddddddddooodddoooooooooooollllloolccclllloollcllllccccccc::cccccllooooooooodddddddooooolollllllloooolllllccccccccccccclooooloooooooooollloooooooooooooooodddoooddooooooooollccc:coooodddddooollcclllollllcccloooooooooooooooooooolooooooooooooooooooooooooooooooooooolooooooooloooooooooooooooooooolllooolloooooooooooooololllllllllllloooooolooloollooooooooooooddddxxxxkxxxxxxddddxxkOkdoodxxxddddxkkO00KK00OO00000OOxdddxxxolcoxkkkO0K000000OOOOkOO0000Okkxolloodxxkkkkkkxxdllcccllloooddxxxkkkkkdlccclllcccloooodddlc::ccccllooooooooooooooloolllllooolllllllc:::::llllllllooooooooooooooooooooddddddodoooodoodddoodddddoooooodoooooooooooolcc:::::::::::::::::::::::::
........,,,;;;;:;::::::::::::::::ccccccccccccllccllllcccccccllclllccllcllllllllllclllllclllllllllllllllllllllllllllllllllllllllllllllllllcclllllcccclcccccllcccccccccccccccccc:::ccccc::cccccccccc:::ccccccccccccccccccccccc:cccccccccccclokKXNXXK00OO0KXKKk:,,'''',,,;::cllooooooooooooooooooooooooooooooooooooooooooooooooooodooddddddddddddddddddddddddoodddddddoddoodddddoooddooooolllcccllclllloollllclllllccccccccccllloooooooooooooodddddooooollcccllooooooolllcccccccccccclloooooooooloooolllooollloooloooooooodddooddooodooooollccc:loooodddddoolcccccllllcccclllooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooolloolllloooooooooooolooooolllloolllooooollooooooooolllooooddxxxdddxxO0OO000OOkxddxkOkxddxxxdddddxkkOO000OOOkkkxkxxxddooodddlcokkkxxxO00OOOOOO0OOOOOOOOkkkkdoooodddkkOOOOOOkdolcccclloolllooxkkkkxocccloolcccllllloollllllcccclllooooooolllooolllloollllllllllcc::::lllllllllooooooooooooooooooddoodddodooooooooooooooooooooooodooooooooooollcc:::::::::::::::::::::::::
.......',;;;;;:::::::::::::::::::cccccccccccclccclllccllcllclllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllcllllcccclllcccllcccccccccccccccccccccccc:::ccccccccc:cc::ccccccc:ccccccccccccccc:ccccccccccccox0XXXXX0OOOOO0K0ko;,'''',,,;;:ccllloooooooooooooooooooooooooooooooooooooooddddooooooodooodddddddddddddddddddddddddddddddddddddooooooooooooooooolcccclllllloollllllllllllccccllllooooooooooooooodddddddooolllllllllooooolllllccccccclccccllooooooooooooooolooooolloooooooooooooddodddooodoooooolc:cclooooooddolcc:cccllllcccllloooooooooooooooooooooooooooooooooooooooooooooooooooooooolooooooooooooooooooooolooooooooooooooollloooolllloooooooolllllooolllllllollooooooolllllllodxkkOkkkkkO0000KKKKK0OxddkkkxdxxxxdddddxkkkkkkkxxxxxdddddddddooooolclxOOxooodxxxkkOOOOOkkxxxxxxxxdooodddoddxxxkO00kxdoolcloodolcccoddxxxdlc:coddllcccllllllodddddlc:::clloooooollooollloolllllllllcccc::;:cllllllllllooooooooooooooooooooooooddoooooooooooooooooooooooooooooooooolcc:::::c:::::::;::::;;;;::;:
....'',,;;;;:::::::::::::::::::::ccccccccclccccclllllllllllllllllcllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllcccllllccclcccccccccccccccccccc:::::::cccc::cc:ccc:cccccc::ccccccccccccccccc:ccccccccclxO0KKKKK000OOOOkoc;'''''',;;:::cclllloooooooooooooooooooooodoooooooooooooodddddddddddddddddddddooodoooodddooooooddddodddddoddddooooolllllllllllllllooooollloooooooooooooolllllooooooooollllooooddddddddooollcccllllloooooolllccccccllllllloooooolooooooooooddooooooooooooooooooooooooooooooooolc::clloooooooolccccllllllllllllooooooooooooooooooooooooooooooooooooooooooooooollooloooooooooooooooooooooooooooloooooooooooooooooooolllollllllooolllllllolllllllooollooooooooolloooodxkkkOkkkkkkkkxkkOO00OxxxxxxkkOOOkxdodkkkxxxkkkkkkkkkkkkkkxxxxxddolldxxdoolllllodxxxxxxxddooooooooooddddxxxddddxkkkkkkxdolllooollllloooolcccloooolccclllcclloddddol::::cloooooooollllllllllllllllcccc::;::ccllllllllllooooooooooooooooooooooodddooooooooooooooooooooooooooooooolllcc::::::::::::;:::;;;::::;:
..',,,;;;;;::::::::::::::::::ccccccccccccclllcllllllllllllllllclllllllllllllccllllllllllllllllllllllllllllllllllclllllllllllllllllllllllllllllllllccclllcclllcccccccccccccccc:cccc:::cc::cc:::::::ccccccc:cccc::ccc::ccccccccc:ccllllcloxOO0000OOOOOkkxxo;''''''',,;;;:::cclllolllooooooooodooooooooooodooooooooooddoodddddddddooddddddddoodoooddddoooooooddddddddddoooddooooooooolcc:cclloooooollooooooooodddooooooooooooooooolllllodddddddooooollllcccccclooooooolllccccclllllllloooooolooooooddddddddooddooddoooodoooooooooooooooollcc:cloooooollccccllllloolllllooooooodooodddooooooooooooooooooooooooooooooooooolloooloooooooooooooooooooooooollloooooooooolooooooooolllooooooooollllllllloolllollooollllloooooollooooooxxxkkkkkxxxdddddxxkOkxddddxxkO0KOxdxkOkkkkkO0KKK0OkkxxkxxxOKK0Okxddxxxxdddooooooooooodxxdoollloddddoooddxddooooddxxkkkkdllllooddoolloollcclllllllllllc:::ccccloooooc::cllooooooolllllllllllllllccccc::;;::cccllllllooooloooooooooooooooooooooooooodolooooooooooooooooooooooollllcccc:::::::;;:::::;;:::::::
.',,,;;;;:;::::::::::::::::::ccccccccllllccllllllllccclllllllcccllllllllllllllllllllllllllllllllllllllllllollllllloollllllllllloolllllllllllllllllccclllcclccccccccccccccccccccccc:::ccc:ccc:cc:c:ccccccccccccccccccccccccccccccccclcldxO000OOO00000OOkxo;,''.''',;;;::::cclllolloooooooooooooooooooooodooooooooooooooddooddddooooddddddddddddddddddooooooooodddddddooooddddddoodddlcccclooooooooooooooooooodddddoooooolllllllollloooddddddooooolllcccccccloooooooolllcccccllllllllooooooodddddodddddddddddddddddoooooooolloooooooolllcc:::coollllcccclllllllolccclooooooooooooooooooooooooooooooooooooooooooooloooooooooolooooooooooooooooooooooolllllooooooooolloooooooooooooooooooolllllllloollllllloooloooolloooolooooooddxxxkO0000OkkxdooddxkkxddooddxOOOkkkOOOOOkkkO0Okxxxxdoodddk00KKKKOkkkkkkkxkxxxxxdoddxkOOkxxolloddxkxxdoodxxddoodddddxkkkxdolllodxdolloolcloooolloooolc::::cccclloddlcc::clllollollllllllllcllccccccc::;;;:::cllllllolllooooolooooooooooooooooooooodoooooooooooooooooooooooooooolcc::::::;;;;;::::::::::::::
,,,;;;:::::::::c::::::::::::cccccccccccllllllclllllccccllllllllllllcllllllllllllllllllllllllllllllllllllllllllllllllllollllllllllllllllllllccllcccccccccccccccccccccccccccccccccc::::ccccccccccccccccccc:ccccccccccccccccccccccccccodk00K00OO0KXXXXXXXXK0dl:'.''',;;;;:::ccllllllooooooooooooooooooooooooooooooooooodddddddddddddooddodddddoooodddddodddddddddddooddoodddddddddoodolccclloooooooooloooooooddddddooodoollllllllooooooooooddoooollllccccccllooooooooollllllllloooooooooooooodddddddddddoddddddddddoooooooolllooollooolllcc:;;:ccccccccccllllllllc:cclllooooooooooooooooooooooooooooooooooooooooooooooolooooooooooooooooooooooooooooooooolooooooooooooooooooooooooooooolllllllllooollllllooolllooooolooooooddxxkOO000KKXXXK00OkxdodxkkxxdoodxxkkOO00OkkkxxxxxxxxxxkkkxxoollodkOO00OkOOOOOOOkkkkkxxxkkOOOkkkxdolloddxkkkkkkkxxdddddxxxxkkOOkxxdooloolllllllooddddoodxxddl:::cccccloolc:;;;ccclllllccllllllllllcccccc:::;;;;::clllllllllloolooloooooooooooooooooooooooooooooooooooooooodooooooooollcc::::::;;;;::::::::::::::
,;;;;::::::::::cc::::::cccccccccclllccllllllllllllcclllllllllllllllclllllllllllllllllllllllllllollllllllllllllllllollollllllllooollllllllllllcccllcccccccccccclllcccccccccccccccc::::ccccccccccccccccccc::ccccccclccclllccccclllc:lkKKKK00O0KK0OO0KXXXNNX0kl,''''',;;::::ccccllllllllooooooooooooooooooooddooooooddddoddddddddddoooddooddddooooddddodddddddddddoodooooodddddddooooollccllloooolllooooooooooooooddooooooolllloooodooooooooollllcclllcccllooooooooooolllllllooooooooddooodddddddddddddooddddoooddoolooolllllllllcccccccc:;;:::::cccllcccllolllc:::::ccccloooooooooooooooooooooooooooooooooooooooooooooloooooooooooooooolooooooooooooooooooooooooooolloooooooooooolooooollllllllllllllllloooolloooooolllllodxkO00000KKKKXXK0OOOkxodxkkxdddddxxk00OOkxxxxkkkOkxkOO00000kdllllodddxxxxkOOOkkkkOkkkxxxdddxxxxkkxdolloooodxxxxdddoodddddxxxxxkkkkOkdddollccccccclooollodxkOxl::::::cc:cc::;,,;::ccclcclcllllcccclccccc:::::;,;::cllllllollllolloooooooooooolooooooooooooooodooooooooooooooooooooooollc::::::::::;;:::::::::::::
;;;;;;:::::cc:::c::::::ccccccccccllllclllllllllllllllllllllcllllllllllllllllllllllllllllllllllllllllllllllloollllllllllllllllloolllllllllllclllllllcccccccccccccccccccccccccccccc::::c:cccccccccccc:cccccccccclccccccccccccclllccco0KK0O0000K0OOO00KKKK00Oxl,''''',,;;::cccclllllllllloooooooooooddooddooodoooododdddddddddddooooooodddddddddddddddodddddddddooodddoooooooddddooooooollcllllcllllooooooooooooooodooooddooooodooodoooooooolllllllllllloooooooooloooollloolloooooooooddooddddooodoooddooodddoooodoooooollllllcccc:cc:::::::::cccccllllllllolllc:::c::cccclloooooooooooooddooooooodooooooooooooooooooooooooooooooooooooooooolooooooooooooooooooooooooooolllooooooooooooooooooollllllllllllooooooooooollllodxkOOOOkOOOO00000OkkxxdoodxxdddddoodkOkkkkkkkkkOOO00000KKK00OdddddxxxxdddddxxxdodxkOOOkxdolooooodxxxdooooodddddoooooooooooooodddxxkkkkkkkxdollcc::cloolcclodxxolcccccc:::cc:;;:cc::::c:ccclllllccccccccc:::::;,;::clllllllllllloooooooooooooolooooooooooooooooooooooooooooooooooooooollc::::;;:::::::::::::::::::
;::;;;::::::::::c:::cc::ccccclllllllccllllllllllllllllllllllllllllllllllccllllllllooolllllllolllllllllllllllllllllooolllllllllollllllllllllcllllccclccccccccccc:ccccccc:ccccccccc::::c::cccccccccccccccccccccccccccccccclcccccclodk00OO000OOOOOOOO00Okkxxolc,''''',,;;;:::cclllllllllllooooooooooodooddoodoodooddoooooddddddoooooddooodddddddddddddddoooddddddddodooooooooddooooodoolllccccc::ccllllccclllooooooooooodddddddddoodoooooooolloloooooodddddddoooolooooolooollooooooooodooodddooooooooddoooooodddoddooooolllllccccccccc::cccccccllllllllllllllllc:ccccccccccclooooooooooooodddooooooooooooooooooooooooooooooooooooooooooooooloooooooooooooooooooooooooollllloooooooooooollllloooooooolllllooooooolloooooolokO0OkkkxkkkOOOOOkkxkxxdooddxkkkkxdooxkxkOOOOOOO00OOOOkkO00OOkxxxxkkOOkkxdddooolllodxxxxxxdooooooodxxdddddxxxxddooodddoooooooooooddxxxkkkOOOxxolccccoddolcclloddolccllcc:::c::clllc::;::cccccllllcccccccc::::;,',:cccllllllllllllloooooooooooooooooooooooooooooooooooooooooooooooooooollccc::;;;:::::;:::::::::;;:
;;;:::::::::c::::c:cccccccccccllllllcclllllllllllllllllllllllllllllllllllllllllllloolllllllooollllollllollolllllloooollllllllllllllllllllllllccccccllcccccccccccccccccccccccccccccc:cccccc:ccc::cccccccccccccccccllllcccclccloddkkOOO000OO00K00OO000000OOOkxl:;''',,,,;;;:ccccllllllloooooooooooooooooooddddddooooddddddooooooodddddddddddddddooddddddodddddddddooodooodddddddddooooollcclllcccccc:::cccclllllloooooooodddddoooddooooooooooooooodddddddoddooooooooollloollooooododddooooolloooooooooooooooododddooooooooooolllllllllllllllllllllllllloolllccccccc:ccccccclooooooooooooooodoooooooooooooooooooooooodoooooooooooooooooooooooooolooooooooooooooooooooollloloooooolllloolllllllllllllllllllllooollloooolllok00OkxxxxxxxxxxxxxdxkkxdddodkOOOkxddxkOOOO000000OkxdddddxxxxdxxxO0OOkkkkkkkkxxxxdoooddxkkxxdooollooodddxxkkkOkkkkkkkkxdddddddoollodddxxxxkkkOkxdollodxxdollllloolcclllcc::::cccllccc:;;:::::ccccccccccccc:::;,,;::cccccccclllllllllllooloooooooooooooooooooooooooooooollooooooooolllllllcc::::::;::::::::::::::::
;;::::::::::::cc:cccc::ccccccllclllllllllllllllllllllllllllllllllllllllllllllllllllllllolloooolllooooooloolllloollollllllllllllllllllllllcllllccccccllccccccccccccccccclccccccccccccccccccccc:::cccccclllllcccccllccccccclldxkkkkkkO00Okk0KKKKKXXNXXNNXXXXXX0ko;,'''',,;;;:ccccccclllllooooooooooooddddoddddddooodddddddoooddddddddddddddddodddoodddddddddooooddddddodddddddddddooololllloooolccccccllllllllcccccccclllooooooooodoooooodoooddddodddddddoooooooooollllllollloooooddddooolllllloooooooooooooooooooooddoooooooollllllllllllllllllllllllooolcc::::::::ccc:cclloooooooooodddoooooooooooooooodooooodoooodddooooooooooooooooooooollloooooooooooooooooooooollooooooooolllllllloollllllllllollllllllllllooolloooxkkxxxxxxkkxkxddddooxkkkxdoodxxxxkkkOOOOkkOOOOOxddddddxxxxxdooox0KKOOOOO00000OkkkxxxkkkOO0OkdolllcccclloodddxkkOOOOkkkxxddddddolccclloddoooxkkkkxdolloxxdollccloollllllcc:::c:cccccc:;;;;;:::ccccccccccc:::;;;;;:::ccccccclllllllllllooooollooooooooooolllllooooollooooolooooooollloollcc:::::::;;:::::::::::::::
:;:::::::::::cccccccccccccccccccllllllllllllllllllllllllllllllllllllllllllllllllllllllooollooooooooooollooollloolllloolllllllllllllllccllllllllcccccccllccccccccccccccccccccccccccccc::c:cccccccccllccccllllcccclccccccloodkOkkkkOOOOOkkkO000KKXXXXXXXK00000kxl;,,,',,,;;;::ccccccllllloooooooooooooddddddddddddddddoddooddddooddddddddddooodddoooddddddddooddddddddooddddddddddooolllooooooolclccllooooooolllllccc:::cccclooooodoooooodoodddoooddddddddooooooollllllllollllooodddddollllllccllloooloooooooooooooooooooooooooollllllllloollllllllllloolcccccc:ccclllllllloooooddddoooddoodooooooooooooodoooooooooooooooooodoooooooooooollooloooooooooloolloooooooooolooooooooollooooollllllooollloollllllllllllllllloooddxkkkO000000OkkxdodxxkkxdddddxxxkkkOOOkkkkkkxxdddxxxkkkkkkxdllokOOOkOO0KK0000OkkkkkOOOkO00Oxdoollcclooooolloodkkxxkkxdddddddddollccclooolodxxdxxxdlccodolcc:ccllooodooollcccc::ccc:::;;,;;:::::ccc::ccc:::;;;,;:::cccccccllllllllllloooolllooooooooooolllloooollllooooolooooooolllllllcc:::;;;::;;::::::::::::::
::::::::::::::cccccccccccccccccclllllllllllllllllllllllllllllllllllllllllllllllllllllloooolooooooooooolllooollloollloollllllllllllllllcllcllllllcccccclccccccccccccccccccccccccccccc::ccccccccccccllccccccclccccccccccloxxkkkxdxOK0OkkOOOOOOO0KKKKKKKK00Oxxxdlc;;;,,,,,;;;::::::ccclllolllooooooooooooddddddddoodddooddodddddoooddddddddoooooodoooddddoddddddddddddddodooooddoodoolllooooooolllllllloooddooooooooolllccc::cllloooddooooddodddoodddddddddddooooolllllllooolloooodddddoollllllcccllllllloooollllooooooooooooooooolllllllllollllllllloooollcllllllllllloooooodddooooooooooooddoooddooooooodoooooooooooooooooodooooloooooooooooooooooooooooolllooooooooollollooooooooooooooloooollllllllllllllllloollllooddddxO00KKKK00K0OOkdodddxxxddxxxxddxkkkkkkxxxxxxxxxxkkkkkkkkxxolcldxxkxxxk000000OOOkxkkkxxkkkkkkxddolldkkxkdoollooooddddooooooodddoolcclooooodxxxddddolllllcc::ccccllodxdddoodolc:::cc:::,,,;;;:::::::cccc:::;;;;;;:::ccccccclllllllllllloollloooooooooooollloooolllooooooooollooollllllllc:::;;;::::::::::::::::;:
::::::::::c:::cccccccccccclcccllllllllllllllllllllllllllllllllllllllllllllllllllllloollloooooooooooooolloooooooooolllolllllllllllllllllllcllcccccccccccccccccccccccccccccccccccccccccccccccccllccccccccccccccccllolccoxkkkkkxxxk000OOOKK0OOOO0KXK000OOkkkkkOkkdc;;,''',,,;;;:::cccccllllllloooooooooooooodddddoooddooododddddoddddddddddddddooooooooooooooddddddoodddddddodddooooooooooooooollllllloooddddooooodddooooollllllllllllooooddddodddddddddddooooooollllloooodoooooooooooddolcllllllllllccclllllllllllllooooooooooooollllllllllllllllllooolllllooooooooooooooooooooooooooooooooooooooddoooooodoooooooooooooooooooooooooooooooooooooooooooooooolloooollooooooollllloollllooooolloooollllllllllllllllolllllloxxkO0KKKK000OOOOOkOkxddddddxxkkxxxdxxxkkkkkkkOOOOOkkOOkxxddddddolldxxxxxxdddxxxkOOOkkkxxxxdddodxxxxdddxkkkkkkxddddoooooollllllloooodoolodxxddodddolloodddoolllllc::::cloooooooddolcc:::::;,,,,;;::::::::::::::;,,,;;:::ccccccccclllllllllooollooolllooooolllloooollooloooooooooolllllllllccc::::::::::::::::::::;::
ccc::ccc::ccc:cccccccccllllllllllllllllllllolllllllllllllllllllllllllllllollllooollooooooooooooooollllloloooolllllolllloooolllllllllllllllcccccccccllccccccccccclcccccccccccccclcccccccclllclllllllccccccccccodxxxdodOK0OkkkkkOOkkOKXXK0000000KK0000OkkkOKXXKK0d:;,'''''',,;;;;:cccllllllollloooooooooooooooodddddddooddddddddddddoodddddddddoddoooooooodooodddooddddoodoooddooooooooooddoooloooooooooodddddddoddddoddooooodoollcc:cclooooooodddddddddollclloollloooooddooooooodoooooolcccccllllllccc:c:::ccclllllloooooooollllllllllllllllllllllooollclooooddoooooooooddoooooooooooooooooooooooddoooodooooooooooddoooodoooooooooooooooooollooooooloooooloooolllooooollllllllolllloolllloooooollllllllllllllllllllooxkOKKK0OOkkkkxxxkkOOOkxddoooxxkkkkkkkOOkOO000KKKKK0OOOOOOOkddddxddooddxxxxdolllllddxxxxxxxddoollodxxxxxkkkkkkkOO0Okkxdooooooollolllooooooodxxxoooolcccloxkkxxdxxxolc:::ccclllcllooddlc::::;;,,;;;;;;::;;;;;;;;;;,,',;;:::ccccccccllllllllllloolllllllooooooooooooooooooooooooooolllllloollcccc::::::::;;;;;;:;;;;;;:
cccccccc:::cccclccccccllllllllllllloolllllllllllllllllolllllllllllllllollllllllloooooooooooooooooooooooolooolllllooolloooolllllllllllllllccccccccccllcccccccccccccccccclccccccclcccccccccllcclllllllllllcccclx00OkkO0KKKOOO00KKK00KXNNKOOOOOOO00KXXXKKKKKKKK0O0xc;',,,,'',;;;;;:::cccccclllllllloooooooooooodddddddddddddddddddddddddddoooddooddoooooooooooodddddddddddooooddooooddodooddooooooooooooooddddooooooddddddooodddooollc::cclooooooddddoodollccccllooooloooodoodoooodooooooocccccccclllllcccc:::cccccllllllollollllllllllllllllllllllllllllllooooddoooooooooodoooooooooodoooooooooooooooooodooooooooooodoooooooooooollloooooooolllooooololloooooollloooooollllllooolllllllloooolllolllllllllllllllllllldxO0000OkkxxxxxxxxxkOOOkxddooodxkkkkkOOOOOOkO00000000OkkkkO0OxdxxkkkkxddxxxxxdoolllloodddodddddoolloodxxkOOOOOkkO000OOOxdddxxxdooolllooooooolodddddxdlcccloddddxxxkxdoc::::cllllccllodoccccc;;;:::;,;;;;;;;;;;;;,;,'',,;:::cccccccclllllllllllllllllllooooooooooooooooooooooolooollllllllllllcc:::::::;;;;;;;;;;;;;;;;
cc:cccccccccccclcclccclllllllllllloollllllllllllllllllllllllllllllllllollllllllloooooollooooooloooooooolooooolooooooolllllllllllllllllclllcccccccclccccccccccccccccccccccccccccccllcccccccccllllllllllllcccld0KK0OO00KK00KXXNNNXXXXXKK0O00OOkO0KXXXXXKK00Okkxxdl:;,,,,,,,,,;;;;;::::ccccclllllllllloooooooddoddddodddddddddddddddddddddodoodooddoodddooooooodddddddddddooooddooooooddoodooooodooooooodddddddooodddddddddoodddddooollc::cllooooooooooolccc:cclloooolooooooodooddddoooddol:clllclccllollllcc::::::cccccccccccccccccccllllcccllllloolllllloooooooooooooodoooooooddoooddddooooooooooooooooooooooooooooooooooooooooollooooooooooooooooooooooooollllllllllllllllloolllllllooolollllolllllllllllllllllllldkkOOkxxkkkkkkxxdddxkkOOOxxdooddxkkkOOOkkkkkxkkxxxxkkxxdddxxkxxxkOO000OOkkkkkxxxddddxdddddxxkkxddollllllodxxxxxxxkOOOOkkkkkkkxxdddoolllloooolclloddxxdllcclooooooodxkxdolc:cclooocccllllllllc:::::;;,,,,;;;;;;;;,,,'''',;::ccccccccclllllllllllllllllloooooooooooooooooooooooooollllllllllllllcc:::::;;;;;;;;;;;;;;;;;
cccc:ccccccccccccclccllllllllllllllllooooooooollollloooooollllolllllllollllooolloooooooloooollooollloooloooolllllllollllllllolllllllllcllllllccclllllccccccccccccccccccccccclllclllcccccccclllllllllllcllldxOKKKKK000000KXNNNXKKKKK00000KKK0OO0KKXKK00000000kxdoollc:;;,',,,,;;;;;;:::ccccccclllllllooooooooooddddddddddddddooddddoooooooodddddddooooooooooddddoddddoddoooooooodoooddoooooooodooodddddooodddooddddddddddddooodddooooocc:cclllllooollcc:::::clllooooooooooodddodddoooddol:cloolllcccclooollllc:::::::c::::::ccccccccccccccclllllllllloooooodooooooooooddoooooooddodddddooodoooooooooooooooooooooooooooooloooolllllooooooooooooooooollolloooooooollooollllllloollllllllllllollllllllllloolllllllllloddxxxkkO0KKKK00OxdodxkO0OkxxdxxxdddxkkkkkxxxdddddddxxxxddoooddoooxkOO0000OOOOOOOkkkxxkkxkkOOOOkkxollllllldxdoollllodkOkxxxxkkkxddddoollllccccllllloodddolccllloolcclddxxdl::cldxdl:cc:ccllllcccccc::;;,,,,,,,,;;;,''''',;::::::cccccllllllllllllllllllooolllllllooooooolllloooollllllllllllllllcc::;;;;;;;;,,;;;;;;;;;
ccccccccccccllccccccclllllllllllllllloooooooooolooooooooolllllllllllllllllloooooooooooollooooooollloooooooooooooolllllllllllollllllllllllllllllcllllccccccccccccccccccllccccllllllcclllccccllllcllllllllodk000O0KK0OOOO0KXXXKK0000000KK0000OO0KXXK0000KKXXXKOkkxxxxdoc:,'','',,,,;;:::ccccccccllllllooooooooooooddddddddddddoooooooooooooooddddooooddodooooddooooddoooddoooooooodddooddoooooooooodddddoodddooddooooooooooolclodoooooollc::cccllllllccc:::::clllooodoooooooooddoodooodddlcclooooolcccclllllloollccc::::::::::::::ccccccccclllllccclloooooddooooooooooooooooooooodddddooooooooooooooooooooooooooooooooooooooolllloooooooooooooooollllllllloooooooooooollllllloollooollllllllllllllllllllllllllllloddxdxkO0KKKXXKKKK0kxdddxO0OkdxxkOkxdddxkkkkxxxxxxxxxkkOOkxddooooooodxxxkO0K0000OOOkkkxxxxxxkkOOOkxxdoolloddxkkkxdolcldkOkkxxddxxdddddoolllllcclddollllodddddolccllllcccloodolc:cloolcc::ccloolccloolc:::;,',,,,,,,,,''..',;;::::cccccccllllllllllllllllloollllllllloooololllooooollllllllllllllllc:::;;;;;;;;,,;;,,,;;;;
cccccccccccclccllccclllllllllolllllooollooooooollloooooooollllollllllllllllloooooooooooollloooollloolloooooooooollloolllllloollllllllllllllllllllllcccllccclllcccccccclllccccccclllclllccccllllllllllooddxOOOkxkOOOkkkOOKXXK000OOO000KKK000000XNX0O00KKXXXXK0OOxddxxol:'''''''',,,;;::ccccclclllllllloooooooooodooodddddooodddoooooooooooooooddooooddddoooddoooodddoooddoooooooodddoodddoooooooooooddoodddddooodddooollcccc::cclllooollc:::cccclllc::c::::clllloodddooooooodddddddoddddollloooooolccccclllllooolllllllcccc:::::::::ccccccccllccccllooooooooooooooooooooooooooooodoooooooooooooloooooooooooooooooooooooooooooooooooooooooooolooolllllllllllllloooooooooooooooollooooollllllllllllllllllllllllllodkkkkO0KKXKKKKKKK00kkxdodxkkxdddxOOkxxxkkkkkkkkOOOOOOO000OxxdooolllooodxkkO000OOkkkkkkxxxxddxxxxxddxddooodddxxkOOkxoclokOOkkxdddxdoooooolllllllodddooollloodxdoolcccc:ccllllodolc:cllcc::::cllllloddolc::;,'',,,,,,,''...',;;;:::ccccccclllllllclllllllloolllloolllooollllolooooollllllllollllllllc:::;;::;;;;;;;;;;,;;;;
cccccccccccccccccllllllllllllollloooolllloooooollloooooooolllooolollllllllllooooooooloooooloooooolooooooooooooooooooooollllooolllllcclllllllllllcccccccccccllccclllllllllllllllccllclllcccllllllodxxxxkkkkOOOkxk000000KKXXX0OOOO00000000KKXKK000OOO0KKKKKKKKKKKOkxddolc;,''''''',,;;;:::ccccccllccllllooooooooooodddddddddddoooddooooodoooooodooooooooooooooooooooddoodoooodddoooooooddddddooooooodddooooooooooooolllllc:::ccccc:cllolcc:;;;::ccccc::::ccccllloooddoooollodddddddooooodoollllllllolllccclllcllcllllllloooolllccccccccccccccccccccccccclllllllllllllllllcllllccccccclllcccccllcclllllloooooooooooooooooooooooooooooooooooooollooolloooollllloooooooooooooooooolllooolllllllllllllllllllllllllllldxk00KKKOOOO00OOOkkkkxddoddddddxxxxkkkkkOOOOOOOOOO000000K0Okxdooooolodddxxxxxddddddxkkkkkkkkxdoooooddddoodxxxxxkkkxdlcloodxddoooooooooddddooodxxdooooooolclloooolccc::cccllclloolc:codolccc::::ccloooolc::,,,'''''','....'',;;;::::ccccccllllllllllllllllllllllolllooolllllllllllllllllllllllllllccc::::::;;;;;;;;;;;;;;;
ccccccccccccccllcllllllllllllollloollllllllllllooooooooooolllollooooooooollllloooooolooooooolooollooooooooooooooooollollllllloollllccclllllllllllllllllllcccccllllllllcccllllllllllllllllllllloxkOK0O0KKKK0K000KNNNNNXXXXXKOOOO00K0OOOOO000KK0kxk0KXKKKKKXXNXXK0KK00kdo:;,'''''''',;;;;::ccccccccclllllllllolooooooododddddddddddooooooooooooooooooooooooooooooooooddodoooodddoooooodddooooooodddddddddooooooooooolllllc::ccccc:::::c::;;;;;;:::::::::cccccclloooddooooloodddddddoodooooolcccllllloollclllcclccccccccllllolllollllolllllllllllllllllllllllllllcclcclcccclcccccccccccccccccccccccccccclllllllloolllloooooooooooooooooolllooolooolllooolllllooooooooooooolloooollllollllllllllllllllllllllllllllldO0K0OOkkkkkkkxxxxxxxxdxdooodddddddxkkOOO00000OOOOkxxxkOOO00OxddxxdddxkkkkkxddoollooddxxxxxxxxdoooooodddxkOOkxxxkkkkdoolllodooooooolodxxxxdddxkOkxxxxxddollooddoollccccccccc:::ccllldxxkxdoc;;;:::cccloooc;;;''.'''''....'',,;;;;::::ccccclllllllllllllllllllllllllllllllllllllllooollllllllllllllcc:::::;;;;;;;;;;;;;;;;
cccccccccccccllllllllllollllllllloooloollllollloolooooooooolooolooolooooollloooooooooooooooolooooooooooooooooooooooooolloolllllllllllllllllllllllllllllllcccccllllllllcccllllllllllllllllllclldO0KK00KXXXXXKXXNNNNNNXXXKKK0OOO00000OOOOOOOOO0OkkOKXXK0KKXXXNXKK0KKK0kxo:,,'''''''',;;;;;:::::cccccclllllllllloooooooooodoodoooddooooooooooooooddooodddooooooooooooodooddooodddoooooodoodoooooooddddoddddddoooooodooolllcccccc:::;;;;;:;;;;;;;;:;:::cccllcccccloooodoooolooddddddddodooooolcccclllloolccclllcllllcccccccccccllllcllllllllllllllllllooooooollllllccccllcccccccccccccccccccllcclccccccclcccccccccccccclloooooooooooooooollooooloooollloollllloooooooooooooooooooollllloolloollllllllllllllllllllllk0K0OkxxxkkkxxxxxxxxkkxxdoddxxxxxdodkkO00000000OOOxddddxxkO0OkkkOOOOkkkkOOOOOxdooooooodddddddxdooooooodxkOOOOOkkOkkkkxxxdddxxxxxxxdooddxxdxxxxxkkxxxkkkkxdoloodddddolc:ccllc:::;:cllodxkkkxo:;::ccc::cllol::;,,'.''''......',,,,;::::ccccllllllcllllllllllllllllllllllllllllllllllllllllllllllllllccccc::::;;;;;;;;;;;;;;
cccccccccccclllllllllllllllllllllloooooooooolloolloooollloolooooooolooloooooooooooooooooooooooooooooooooooooooooooloooooolllllllllllllcllllllllllllllllllllllccclllllccccllllllllllllllllllllox0XXK0KKXXXXXXXXXXXXXXXKK0OOOkOO000000000OOOOOkxxkkO00000KKXXXKK0OOkkOOkx:,,''''''''',,,;;::::::cccccllllllllllloooooooooooodoooodoooooooooooooooooooooooooooooooodddoodddoooddddddooooooooooooooooooooddoddddoooodoollllc:::::::::::::::::::;;::::ccccclllccclloooodooollooddoooodddddddddolcccllllloolccccccccccccllllllcccclllcccccllllcclcccclllllllllllllllcclcccccccccccccccccccccccccccccllllllllclccc:::ccccccccllllllllllloooollllllllollolllllooooooolloooolloooooolllolllloolllllllllllllllllllllllllokOOkxxdddddddxxxxxdxkkkxxxkkkkkkkxddddxkOkkkkkkxxxxddddddxkkkkOO0000000OkkkkOkxxxxxxddxkkkkkOkkxxollllllodxkkkkxxkOOOOOOkkkkkxxxxxddddooolodddoddxddddxxkOkdddddddxxxdollooolc::::cclloxkkkxl:::cllcc::cllcc:::;'''........',,,,;;;:::cccllllllllllllllllllllllllllllllllllllllllllllllllllllllllllccc::::::;;;;;;;;;;;;;
cccccccclcclllllllllllllllllllllllooooooooollooolllloolllooloooooooooooooooooooollooooooooloooooooooooooooooooooooooooolllllllllllllllllllllllllllllllllllllllcllllllcclllllllllllclloolllodkkO00KKK00KK0KKKKXXXKKKKK00OOOkkkO0KKKK00K0000OOkkkkkkkOKKKK0KXXXXK00O0KXXKdc:,'''''''','',;;:::::cccccccllllllllllooooooooooddoodoooodooooooooooddoooodoooodooooooodoooooddoooddooddoooddoooooooooooodooooooodooooddoollcc:::cccccclc::::::::;;:cc::::cllllllcclloooodddoooooooooooddddddddddoolccllloolllcccccccc::cccccllllllllllllllllllllllllllllllllooolllllllllllllllllllllllllllllllllllllllllllllccccc::::cccccccclccccccclllllllllllllllllollllloooolllooloooooollloolllollllllolloolllllllllloollllllllodxxddddxxxxxxxxxdddxkkkxxkOOkkxxxxxdddddxdddddxkkkkkxdddddddoddxxkkkO0000OO00OOOOOkkxkOO000000OOkdolllllooddddoolodxkOOkkkOOOOkkxxdddoollcllloolloolllcldkkkkkxxxdddddxdooodddl:::cclcloooodolc::cccccccccccccc:;,,'.......'''',,,,;:::ccclccllllllllllllllllllllllllllllllllllllllllllllllllllllllccccc::::::::;;;;,;;,;
cccccclcclllclllllllllooollloollloooooooooolloolllllloolloooooooooolooolllooooooollooooooolooooooooooooooooooooooodoolllllllllllclllllllllllllllllllllllllllccllllllllllllllllllllclodddodxk00OOOO000OOOOOKKXXXK00OOOOOOOOOOO0KKK000000000O00000OOk0KK000XNNNXXKKKKXXNXOoc,''''''''''',,;;;:::::cccccclllllllllooooooooooddoooooooooooooooooooodooodoooodoooooooooooooooooooooodddoooodddooooooooodoodoooodoododddolc:ccccllcccccc::::::;;::::::::cllllllccclloooddddoooooddodddddoddooodddolllllllllllllcccccccccccccccclllllllllllolllllllllllllllolooooooooollloollllllllllllllllolllllllolllllllllccc::::::ccccccclllcccccccccccccccllllllllllllllllllllllooooooollllolllllllollllllllllllllllllllllllllllodxxxxkkkOOOOOOOkxdddxxxxxkOOOOkkxxxxkkxxxxxxxxkOOOOkxddddoooloooddddxkOOOOOO0OOOOOkkxxkkOO0000OOkxdooddxxxxxxxdlccllddxxxxkOOOOkkxddddoolllloddoolllccccloodddddoollloxxddddddlc::clllccllllllccc::cccc:::::cccc:;;,'.......''''',,;::::ccccccclllllllllllllllllllllllllllllllllllllllllllllllllllllcccc:::::::;;;;;,;;;;
cccccllccllccclllllllllllllloollllloooollooooolllllllooolllllooooooooooollooooooollooooooooooooooooooooooooooooooodollllllllllllccllllllllllllllllllllllllllcllllllllllcllllllllllclxkkkkkOOOOOOkkOOOOOOO0KXXK0OO0OkkOOOOOO0KKK00O0KKK0OOOk0XXXK0kkO0000KKKXXXXXXXKXXXXOdc,''''''''''',,,,;;::::ccccccclccclolllooooooooooooooooooooooooooooooooooodoooooooooooooooooooooddoooddddoooooooooodoodddddoooooodooooooolcc:clllllcc:::::::;;;::::::::::clllllccclloooddddddoooodddodddoooddooddooollllllllllllllccllllllcccccccccclllllllollllllllloooolooooooooooooolooolllooollllllllllllllloooooooooolllccc::cccccclllllllcc:cccllcccccccccccccccclccllllllllollllooooolllllllllllllllcllllllllllllcccllllolllllodxxkO00KKK000OOOkxddddxddxkOOOOOkxxkOOOOOOOkkkO000OkxxxdoolllooooooodxkkkkkkkkkkkOkkxxxxkkkkkOOOkkxdddxkkkkkkkxocccclooooddxddxxxxolodddoollodddddolllcccccclllllllllodxxxxxddlc:::cllcccc:cccllllccccc::::ccccccc::,.......''''',,;;::::cccccclllccllllllclllllllllllllllllllcllllllllllllllllllllllllc:::::::;;;;;;;;;;
cccllllllllcclllllllollooolooolllllloolllllloooooollooooooooollllooloooooloooooooooooooooooooooooooooooooooooooooooooooloollllollllllllllllllllllllllllllllllllllllllllllllloolllodx00OO0000OO0000KKKKKKKKKK00OOOOOkkkO000O0KKKK00K00OOOOOk0KKK0OOOkOO0KKKKKKXKKKK0000Okdl;,'''''''''',,,,,;;:::cccccccccclllllllooooooooooooooooooooooodoooooooooooooooooooooooooooooooodooooooodooooooooooooodooooooodooooooooolc:cclllllcc:::;;:::;::::::::::ccclllllcccllooooddddddoooooooddddddddddddddoolclllllllllllllllllllllllccccccclllllllllllllllloooooooooooooooooooooooloooolloolooooooooooooooooooollllcccccccccccccllllllccccccccclcccccc:::::::::::ccclllllllllllllllollllllllllllllllllllllllllccccllllllllodkO0KKKKKK00kkkkOkxdooooddddxkkkkxxxkOOO000OOkkkkOOkkxxxdddoodxkkkkxdddxdooodddddxxxxkkxxddddodddxkkxxxxkkkxxxxxdolclodoooooooooooollldxxdddxxxxxkkxdddoooollooooooolcclodxxxxxdlc::::cccccccclloddoolc:::::::::cllllc,.........',,,,;;:::::ccccccccclllllclllcllllllllllllllllllllllllllllllllllllllccccc::::::;;;;;;;;;;
ccclllccclllllllllllllooooloooooooooollloollllooooooooooooooolllolllooooooooloolllloooolooooooooooooooodoooooooooooooollloolllllllllllllllllllllllllllllllllllllllllllllllllolllokKKKK00KKXXKKKXXXNNNXXXXXK00000OOOO00KK0OO0KKKKKK0OkkOOO0000000000OOO00KXXXK00000OOkkkkkkoc:'''''''''''',,;;;;;::::ccccccllcllllloolooooooooooooooooooooooooooooooooddoooooooooodoooodddoooodoooooooooooooooooooooodddoooooddooolcccccccccc::::;;:cc::::::c:::cccllllllccclloododdddddooooddddddddddddddddddolcccllllcccloolloollooooolccccccllloolllllllllllllllooooooooooodooooooolooooooooddoooooooooooooooololllllolllcccccccccccllllllllccccccccccc::cccc::::::::cccclllllllllllllllllllllllllllllllllllllllllllllllloodx0KKKKK00kkkxxxxkxxddoodxxkkkkxkkxddxkkkkOOOOkxdddxxxkkkkxxxxkOOOOOOOOkkxdoooooloooodxdddddooooooddxxkOOOOkkxxxxxxddddxxxxxxxxddoooolodxxdodxxkOkkkkxddxxxxxdoddooddoolccloodkkxdoc:cccc:ccccclcloodxxollll:;;;::ccllolc,........'',,,;;;::::cccccllllllllllcllllllllllllllllllllllllllllllllllllllllllllccc::::::;;;;;;;;
cllllllllllllllolooollloollooooooooooolooooollloooooooooooloooloooooooooooooloolloooooooooooooodooooooodoooooooooooooooloollllllllllllollllllllllllllllllllllllllllllllllllllllox0XXXXKKKXXXXXXXNNNXXXXXKKK00O000000KKKK0KKXXKKK000000OOOOkkkk0KKKK0O00KXXXK00KXXK00OkkO000Ox:,,,''''''''',,,;;;::::ccccclllllllllollloooooooooooooooooooooooooooooooddoooooooooooddooooooooodooooodoooooodoooooooooodoooooodddolcccccccccc:::::::ccc:::ccc::::cllllllllccclloododddddooooddddddddxdddddddooodolclllllcclloollooooooooolccccccllloooooooooooollccclllloooooodddoooooooooooollooooooooooooooloooooolllllollllllcccccccccclllllllclccccccc:::c:::::::cccccccccccccclllllllllllllllllllllllllllllllllllllollllldxO0K0OOkkkxxxxkxxxxxxdoodkO00OkkkkkxdxxxxkkkkkxxdddddxkOOOkOOOOOOkkOOOOOOkxddoooooooodddddddddoollooodkOOOOOOOkkkkOkkkxxkkkkkxkkxxddoooooolllooxkkkkxoodxxkkkdooooodddddllccclxkkkxollllc:;::cccccllloooooddoc:;;::ccllll:'.......''',,,;;;::::cccccccllllccccllllllllllllllllllllllllllllccllllllllllllllccc::::::;;;;;;;;
clllllllllllllllloolllooolllollolooooooooooolloooolooooooooooooooloooolooooooolloooooooooolooooooooooooooooooooodooooooooolllllllllolllloollllllllllllllllllllllllllllllollloodkO00KKXKKKKKXXXXXXXXXXKKKKK0OO000000KXXXXXNNNXXK0000KK00K0OkkkkkkO0OOkOOO00000KKXXXXKKKKKXK000o:;,'''''''''',,;;;::::ccccclllllllllllooooooooooooooooooooooooooooooooooooooooooooooooooooodoooooooooooooooooooooooooooodddoooooollcccc::::::::::::cclc:ccclc::cccllllllllcccllloooooddddooodddddddxxxdddddddodddollcclllllllooooooolloooollllcllcllloooooooooooollllclllllllloloololllooolllllloolllllllllolllloooooooooolllllollllllccccclllllllllllcccccccccccc:cc:ccccccllccccccccccccclllllllllllllllllllllllllllllllllllxOOOkkxxxddddxxxxxxxxxxddxkkOkkkkkkkxxxxxxxkkkkxxxxxxxxkOkkkkOO000000OOOOkkkxxxxdddddxxkkkxkkxxddoollcloddxxkkOkkkOOOOOOOOOkkxxkkOkkkdoolcc::ccclooddoccloxkxxxxdooooooooollc:cloddddooodoc::::::ccc:::cllooddol:::::cccclc;,'......'',,,;;;;::::ccccccccllccccllllllllllllllllllllllllllclllllllllllllllllcccc:::;;;;;;;;;;
ccclllllllllllllllooolooollllloolloooolloooolooooooooooooooooloooloooooooooollllooooloooooolllooooooodooooooooooooooooooooolllllllllllllooolllllllllllolllloolllllooolllllldkkOOOOOO000KKK000KKXNNXKK00000000000KKKKKXXXXXXXK000KK00O0KK0kkOOkkxkkkkkkkkkOOO00KKXXKKXXK0OOOkxl;;,,''''''''',,;;;:::ccccccccccllllllloooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooddddooooooooodddddddoooollc::::::::c:::ccclllcccllcccccclloollllccccllloooooddddodddddddddxxxddddxddddddollccclooolloooolllllllloolollllllclooloooodoooooooollllllllllllooolllloolllolooooooollllllooloooolooooodoolllllllllloolllllllcllllllcccllcccccccccccccccccllllllccccccccccccllllllllllllllllllllllllllllllloxkkkxxxkkkkkOkkxxkkkOOkxxk00OkxxxxxxxxxxxxkOO00OkkxxxxxxxddddxkkkkOO0000OOOOOOkkxxxxxxO00OOOkkkxxddoccloooooddxdddxkkkkOOOOOOxxxxkOOkxddollcccclllllcc::clooodddddddollcccccc::cllooooodddolc;:cllcc:::;:ccclooolc::cccc:ccc::'......''',,;;;;:::cccccccclllclllllllllllllllllllcllllllllcllllllllllllllccccccc::::;;;;;;;;;
ccclllllllllllllllooolloollllllollooollooooolooooollooooooooooooooooolooooooooooooooooooooooooooooooooooooooooooooooooollooolllllllllllllollllllllllllllllooolloooooollooodkOOO0O000OkO000O000KXNXK00OOOO0KKKKKKKKK0KKK0000OO0KK0OO0KKKOOkO000OkOO0OOkkOO0KKXXXXXK0O00Okxxxxo:,,,,'''''''',,,,,;;::ccccccccccccccllllllloolooooooooooooooooooodooooooooooooooooooooooooooooooooooooooodddddoooooooooodoooddooolcc::c:::::cc:ccllllllcclllccccccllooooolcccccllooooooddooddddoodddxxxxxxdxdddddddolc:clloolloollllollllllolooollllclloloooodoooooooooolllllllllloooooooooollooooooooolllllllooooollloooooooollllllllooooolllllllllcccllccllccccccccccclllcclllcclcccccccccccccccccccllllllllllllllllllllllllodxxxxkO00000K0OOkxkO00OxkOKKK0kxxxxxxxxkkO0KK00OOkxddddooooddxxxxxxkOO000OOOOOOOkkxxxxkkkO0OOkkkkxdooodxxxddoodolloooddxkkOOOkxxddxkkxdxddolllooddollc::clloooooooddollcccccccclllooooooooooc::looollc::;::::llolcc:cccccccccc:;,''...'',,,,;;;;;:::ccccccllcclllllclllllllllllllcllllllllllllllllllllllcccccccc:::;;;;;;;;;
lllllllllllllllllloooooloolollooooooooloooooooooooooooooooooooloooooollllllooooolooooooooooooooooooooooooooooooooooooooooollllollllllllllllllllllllooolllooolloooolooodxxkOOOOOOO000OkkO00O00KKXXX0OOOOOk0KKKKXXK0000K0OOkkkO000000KXKOkkOO0KKOkk0XK0OOO0KKXNNXKK00OOOOOOOOOxc;,,,''''''''',,,,;;;::::cccccllccccllllllllllooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooddooooooooooooooooooollc:::ccccccccccllllllcllllllccclllloolllolcccccllloooodddddddoooddddddxxxxddddxdddddoc::clloollloooooolllllooooooolllllloooooooooooooooooollllllloooooooooooooooooooooolllllllooooollllollllooolllooolllllollolllllllclllcclllcccccccclcclllllllccllcccccccccccccccccccclllllllllllllllllllllodxkxkkO0KKKKKKK00OxxkOOOkxkO00Okxkxxxdxk00KXXK0OkkkkxxdooooooddxddddxkkOOkkkkkkO0OOkkkxxdxkkOOkkkkxxdxkkkkkkxxddllllclodddxxkkxddoloddddxxdoooddddddoolcclllllllllllllllccccccloodooooodoollollccloddolc:;;;:::clllc::ccccc:::cc::;,...''',,,;;;;;::::::ccccccccclllccccccclllllllllllllllllllllllllllllcccclllccc:::;;;;;,,;
llllllllllloolloooooollloolooloooooooooooooooooooooooooooooooooooooloollllooooolllooooooooooooooooooodddddoooooooooooooooolllloooollllooooolllllloolooooooooooooolldkO0000000000KK00KKKKKKKKKKKKK00OOOOO00KKXNNX0OO00OOkxxkO000000000000000KK0kxxOKKOkO0KK0KKK000KXXKKKKKKKKOdc:;,'''''''''',,;,;;:::::ccccclccccllllllllllooooooooooooooooooooooooooooooooooodooooooooooooooodooooodoooodooooooooooddoolllcccccccccclccllllllllllclllllllllllloollllllcccclllllooodddodddddooooddddxxddddxxxddddoolccccllllooooooollooooooooooooooooooloooooooooooooooollcccllllloooooooooooooooooollllloooolllooolllooollllllllllllllllllllllllllllllllllcclllcccccccclllllllllcccccccccccccccccccccccccllclllllllllllloodkkO00KKKK00000OOkxdxxxxxxxxkkkxxkxxdddxO0KK000OkkkkxxdoooooddxxxddddddxddddddxkkkOOOOOxddoddxxxkkxxxxkkxxxxxxddoolllloooooooooooooooodxxxxdxxkkkxxxkxxdddoooooddddoddddoolccllooooollooddollllccllooooolc:::::::c:cccc:c::::;:::::;'..'''',,,,;;;::::::cccccccccccllcccllllccllllllllcllllllllllllllclcccllllcccc:::;;;;;,,,
llllllllllloooooooooolllllooolooooollooooooolooooooooooooooloooooooooooooooooooollloooooooooooooooooooodoooodoooooooooooooooooooooooooooolloollloooooooooooooooooodOXK00OO0KKXXXXXXXXXXXXXXXKKK00OOOOOO00KXNNXK0OkO0OkkxdxkO0OOOkOO0KXXXK0OOOkxxO00OOOOOOOOOOOO0KKXXXXXXX0kkxolc:;,,,'''''''',,,;;;:::::cccccccllllllllllllooooooooddodooooooooooooooooooooooooooooooooooooodooooooooooooooooooooooooolccccccccccccllllllllllllllllllllooolllllllooollccccllllloooooddddddddooooddddxxxddddddxxddddooc:cccloloooolloooooooollloooddoooolooooolllooooodddolccccccllllllllllllloooolooolllllllllllooolllooolllllllcccccccccccllllllllllllllllllllllllllcclllllllllllcccclccccccccccccccc:::ccccllcllllllllloodkO0KKK0OkkkkkkkkkxxxddddxkkkxxxxxdddddxkOkO00OOkkxxxxdddddxkOOkOOOkxxxxdooooooddxkkkkkxddoooooddxxkkkkkkxxxxxdxxxxooooddddodddddddoodxkkxddxkkOOOOOOOkxxxxxddddxxkkkkkxxdolccllooooollodddoolccclllllooddolc:;;;;;:ccccc:::;;::::c::;,''.''',,,;;;;;:c::cccccccccccllllllllllllllllllclcccllllcccllccclllclccccccc::;;;;,;;;
ccllllllllloloooooooooooollooooooollooooollloooolloooooooooooooooooooooooooooolllooooooloooooooooooooooooooodooooooooooooooooooooooooooooloooooooooooooooooooooooxO0XK0OO0KXXXXNNXXXXXXXXXNXKK00000000000XNXK0OkkkkkkkOkxxxOOOOO00KXNNXK0OOOkkkO0K000K00OOOOkkO0KXXXNNXKK0OOkdolc:;,,'''''''',,,;;;:::::::ccccclllllollllloooooodooooooooooooddoooooooooooooooooooooooooooooooodoooooooooooooooooooollccccccccccllllllllllllllllllllloooooollooollllllccccllllllooooddddddddooodddddddddxddddxxdddddoolccclllloollllooooooolllooodddooooooolllllloooodddoollcccccclllloolllllloooooollllllllllclllllllooollllllolccc:ccllcccllllllollclllllloollllccccclllllllllcclcccllccclccccccccccc::cccccccclllllllloox0KKK00kkkxxkkkkkkkkxdddxkOOkxxxxxxddddxxxxkOOOOkxxxkxxdddxO0000000OkxxxxddoooooddxxxxxxddddoollooxxkOOOOOOkkkxkOOOxxxxxxkxdddddddxddddddoolodxkkO0OOkxddxkxxddooddxxxxxxxddollodddxdlclloddollccccclloodxxdoc:;;;;::cccccc:::::::cccc:'...'''',,,,;;;:::cccccccccccccllllcclllllllllllllllllllcccllcccllllllccccc:::;;;;,;;;
ccllllllllloooooooooooooollooooooooooooooooooooooooooooooooooooooooooooooooooollooooooollooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooodO000000KXXXXKXXNXKXNNNNNNNXK000K00000OOOKK0OxxxxxxxxkOOkkkO0KXXXXXXXK000000OkkkO0000KKK0OkkO00KKXNNXXK00000Oxdolc;,,'''''''''',,,,;:::::::ccccllcllollllllooooddooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooollcccccccccccllllllllllolllllllllllooooooloooollllllccclllllllooddddddddddooooooddddddxxxdxxddxdddddolccclllloolllloooooooolloodddodoooooollllllloodoooooollllclllloollllllllllllllllllllllccccccclllllolloooolllllllllllclllllllllcclllllooolllcccccccccclllllllllccccccllcccccccccccccc:::cccclllllllodkKKKOkkxxxxxxdxkkkkkkxdxkOOkkxxxxxxxxxxkkxxxxkkkkOOOOkkxxxk000OOOOOOOOkxxxkxdddoodxxxxxkxxxddolllooddxkkkkOOOOkO000OOOOkkkkxxxdddxxxdolllccccllodkOOkxdooxkkkkkxxdooooddxxxxdlllodxxxoccclodoollcc:::coodxkkxdc:;;:;:::::ccc::::::::ccc;'..''''',,,;;;;;::::ccccllllllclcccllcclllccllllllccclccclllcccccllllllcccc:::;;;;;;;
llllllllllloollllolllollllooolooooooooooooooooooooooooooooooooooooooooooooooooooooolooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooddxO00000000O00KKXXXKXNNXXXKKKOOO0K00000OOOkkxxdxxkkkxxxkkkkOKXXXXKKK0OOOO0000OOkkkkkk0KKK0kkk0K000KKKKKK00OOOOkkkxo:;,''''''''''',,,;;;::::ccccccclclllllllloooodoooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooolllccccccccllllllllllllllllllllllllllooollllooooolllllccccccllllllodddoddddddddooooooooooddddxxddxxxddddoolllcccclolllloooooololllooodddddoooooolloooooooooooolllllllcccllollllolooollllllllllllccclllcllllloollllllllllllllllllllllollccllccclllllllccccccccccccccccccc:ccccccccccccccccccccccccccccccllccodk00OxxxkkxxxdddxkkOOkxxkOO0OOkkkkkkxkkOOkkkkkOOO000OOOkkkkO000OOOOOO000OOOOOOOkkkkkOOOOOOOkxxooolllloooodxkOOkkkOOOOOOOOO0Okkxxkkxxdoollcc:cccclloddxddolodxxkkkkxdddoooooddoolclldxxdllcccllllllcc:::cclodxxdlcc::::::::::ccccc::::::c::,'.'''''',,;;;;;::::cccccclllllccllccllllcccllcclllcccllllcclcccclcccllccccc::;;;;;;
llllllllollloolllolooollllooolloooolooooooooooooooooooooooooooooooooooooooooooloooolollooooooooooooooodddddoodoooooooooooooooooooooooooooooooooooooooooooooodxkkO00KKKK00Okk00000KKKKKK00OOOkkk0KKKXK0OkkkxxdxkOOkkOkkOkkO0KKKK0000OOO00KKXK0OOOkkkkO0OOkkkkOOOOOOKKXXXKK0OOO000OOdl:,''''''''''',,;;;::::c:::cccccccllollllooodooooooooodddooooooooooooloooooooooooooooooooooooooooooooooooolcccc:cccccllolllllloolooollllllllllooooolllllooooolllccc::cclllllloooodddddddddddddooooooddddddxxxxxdddooollllc::cllooooooooolclllloooodddddddoooooooooooooooooollcccccccclllclooooooollloooooollllollllooololllllllllllllllllllllllollcclllccc::ccccccccc::ccccc::cccccccclcccccccccccccccllcccclcccccccclooxkkkkOOO0OOkxxddxkOOkxxkOO0000OOkkkkOOOkxxxxkkkO000OkkkxxxkOOO00000000OOO000OOOOO0KKK00000OOOxdolllllooooodddddddddxxkkOO000Okxkkkxxdolllcccllooooloololllloddddxddddollcclllllllloodoooollllllllllcc:::::cclllllc::::::::::cllllc:;;::cc:,'''''''',,,;;;;::::::cccccccccclccclllcccclllllllcccllcccccccccccccllcccccc::::;;;
llllllloollloolllooooolloooooooooolooooooooloooooooooooooooooooooodddoooooooooooooolollooooooooooooodddoddoooooooodoooooooodoooooooooooooooooooooddoooooloodxO000000KKKK0OO00K000KXKKK0OOOOOkkk0KKKK0kxkkkkxkO0OOOOOO0000000000000000KXXXNXKOOO00OO0000OOkkkkkOOkOKXNNNXXKKKKXXKK0xoc,,'''''''''''',;;:;:::::::cccccccllllllooooooooodooooddooooooooooooooooooooooooooooooodoooooooooooooollllccccccccllllllllllllollllllllllllllooooollloooooolllccc:::cccllllllooddddddddddddddoloooddodooddxxxddddooooollc:::cllodolloooolloooooooodddxdddooooooooooooooooollllllccccccccloooooooloooooooooooooooooooooololllllllllllllllllllllllllllllllccccc::cccccccccccccccccccccccccccccccccccccccccccccccccccclodxxxkO0KK000OkxxdddxOOkxxxxxkOOOOkkkkkO00OkkxxxxxxkkkxxxxdddxkkkOOOO000OkkkOOOkkkkkkOOOO00K000OxxdooodxxxdddoooooolooddxkkkOOOkkxdxxxxxdoollllooddxxddolllcccllloddddooollccccllloddoooddddddooooolollcc::::::clooollccccc::;;:cclllc::::ccc;;,''''',,,,,;;:::::::::cccccccccccclllcccccllllllcccccccllccccccccllccccccc::::;;;
lllllooooooooolllloooooooollooooollooooooooooooooooooooooooooooooodddooooooooooooooooolooooooooooooodddoddoooooooooooooooooooodoodoooooododdooooooooooooxkO0KKKKK00KXXXXKKKKKKKKKKKKKKKK00OOOO0KKKOkkkkkOOOO0OOkOO00KK000OOOOOOkOO0KKXNNXK0000KKKKKK0000000OOkOOOOKKXXXXXXXXXKKK0Odl:,'''''''''''',,,;;;:::::::cccccllclllllllooooooooooooooodooooooooooooooooooooooooooooooddoooooooooollccccccclllllllllllllllllllllllllllllloooooooolloooooolccc:::ccccccllllloodddoddddddxddddooooooooooodddddddddoooolcccccccclllclooooooooooooooddddddddddoooooooooooooooollllllllcllllooooooooooooooooooooooooooooooooooollloollllllcccclllollolllllllllccccc:::cccccccccccccccccc:::cccccccccccccccclllccccccclodxkkO0KKKKK00OOkxxdddxkkkkxxxddxkOkxxxkkOOOOOOkkxddxxddddoodddxxxxxkOO0OOkxxkkkkkkkkkkxxxxkkkkkkkkxdddxkkkxdoddoolloodxxxxxddddddooooddxxxddoodxxxxxxxxdddooollloooooddoooollllcccldxxxdooddddoooooooolllccc:::::looddolclllc::;;:ccccc::::::::;'''''''',,,;;;::::::::ccccccccccllcclllccllcclccccccccclccllcclllccccccccccc::::
lllooolllollolllllollooooooolllloooooooooooooloooolloooooooooooooddddooooooooodoooooooooooooooooooooooddddooooooooooodoooddoddodddooooooddddddddoooddoox0XKKXXKKKKKKXXNNXXXXXKKXK0O0KKKXKK000KK00OkkkO00K00OOOOO0KKXK0OOkxxxxkkkOkOOO0KKK00KKXKKOOOkoldk0XXK00000KKXXNXXXK000OOOOkdoc,,,''''''''',,,,,;::::::::c:::cccccllllllooooooooooooooodooooooooooooooooooooooooooooodddoooooooollccccccccllcllcccllccccllolllloolcllloooodooooollooolooolc:::::::cccclllllooooooddddddxxxxddooooddoooooddddddddddddolccllooolcc::ccloooooollooooooddddddddoooooooooooooooooooooollllllooolooooooollllolloodooloooooooooooooooollllccccccccllllllclllllllllccccccccc::cccccccccccccc::cccccccccccllcccllllcclllcldxk00KKKK00OOOkOkkkxddxkkOkkxxxddxkkxdxxxkkkkkkOkkxxkxxdoodddddddddddxxkkxxddxxkkkOOOOOkxdoooodxxkkxxddxxxxxddooolllloodxxxdooooooodooodxxxxdddkOOOkkkkkkkkxxxxdoddxxxxxxdddddolc::cldxxxdddddoooollooolllllolc::;;;codoollloooc;;;;;:::::::;:::;'.'''''',,,,;;;;:;::::::cccccllclccccccccllllllccccccccccllllccllcccccccccccccc:
ooolollloooooooollllllolooooollooooooooolloooloooooloooooooooooooddooodooooooodooooooooooooooooooooooddddddooooooodoodoooooddoooddooododdddodddddddoodxOKXKKXXXKKKKXXNNNXXXXXXXXK000000KKK0K0OOOOkkOO00000KKKKKKXXKK0OOkkkkOOkkkkkkkkkOO00KXXXKOOkxo::ok0XNXK0KK00KXXXXKK0OOOkkkkxdoc;;,''''''''',',,,;;;::::::c:::cccccllllllloooooooooooooodooooooooooooooooooooooodoooooooooooooolllcccccccccccccllllcccccllooooooolllloooooooodoolllllooollc:::ccc:::::ccclloooooooddddddxxxxddddoooooooodddddddddddddoolccloooollc:::cloodooolloooooodddddddoooooooooooodolooooooollloooooooooooooolllllloloooooooooooooooooooolloolllccccccllllllllllllllllllcccccc::::ccccccccccccccccccccccccccllcccllllclllccldxO0KKKK0OOkkkkkOkkxxxxxkOOkxkkkxxxxddddxOOOkkkkkkkkkkxdddxkxxxxxxdddddddddoddxxxxxkkOOkdooolodxxkxxxkkkkOOOkxxddooollooddddododddddddddxxddoodxkkOOOOOkkkkxxddddddxxxxkxxxxxdool:::cloddxxxxxddddooodolcclloool::;;:ccllllllddoc:;;;;::::::;:::;'...''''',,,,;;;;:::::::cccccccccccccccccccllllccccllccllllllccclccccclcccccccc:
ooollllooloooolllooooooooooooooooollloooooooooooooooooooooooooooodddooddoooooooooooooooooooooooooooooodddddddooooooooddoooodoooddddoddoddddooddddddoodxOKK0KXXXKXXXNNNNNNNNNXXXK0000OOOKKKKK0OkkOO0K0000KKXXXXXX000OO00000000OOkkkOOkkkO0KKXNX00Okdollx0KKKK00KK000KK0000000OOkkkkxxdlc;,,'',,,''''',,,,;;;::::::::cccccllllllloooooooooooooodoooooooooooooooooooooodoooooddodooooolcccccccccccccclllllllcclllloooollolllloooooooodooololllollc::ccc:c::::::cclooddooodddddddxxxxxxxdooodoooodddodddddddddoolcccllooollc:::ccloooooolooooodddddxddooooooloooooolloodooooolloooooooooooooooollloollooooooooooooooooooooooololcccllllllllllllllllllllllccccc::::::ccccccccccccccccccccccccccccllclccllccldkO00000OOOkkkkkkkkkkxxxkOOkxxxxxxxdddddxO00OOOOOO00OOkxxkOOOOOOkkxxddooooooooddoodxxxxdddoolloddddxxkkkO000OOOkkkkxdooddxxddxxxxddxxxddoollllooddxkkxxxxxxxddoddddooodddxxxdxxdocc:cclooxxkxxxxxxdddddollllloooolcc::::ccllllodolc;;;:::::::::;;,'..''''''',,,;;;;;;::::::cc:cccccclllcccccccccccccllccllllllcccccllcclcclcccccc
looooollllllllloooooooooooooooooooooolooooooooooooooooooooooooooooodooddddoooooooddoooooooooooooooodddddddddoooodoooddddddddddddddddddoddddddooddxxxxkOOKK0KXK00KXXXXXXNXXXXXK00OO000KKXXKK0OOO0000OOOOOOO0K00OOkkO00KXXK00O0OOOkkOkkkkO0KXXXK000OOOOOKXK0OOOO00OOOOOOO0KKXXXXKKKKKK0kxo;,,,''''''''',,,;;;;;;::::ccccccccllllloooooooooooooooooooooooooooooooooooooddooooddddooollcccccccccccccclllllllllllllllloollllloooooooooooooolllllllc:;:ccccccc:::::clloodoooodddddddxxxxddddoodddoddddooddddodddoolcccloooollccccc:ccloooooooddoodddddddddooooooooooooooodoooooooloooooooooodoooooooooooloooooolooooooooooolloloollllllllllllllllllllllllllllcccccccccccccccccccccccccccccccccccclllclclllcccdOO00OOOkxxxxkkkkkkkkkxxkOkkxxxxxxxxdddxxOOO000000000OOkOO0000OOkkxxkxxxddddddxxxddddxxxxxdollllooloodxxkO00OOOkkO00OkkkOkkkkkkkkkkxxxdoolccclllodddddoolloddxxxxxxxdoolooddddxddolccclloooooodddddddddddolcllooodddoc:ccc:::cloool:;;;::::::::::;;;;;''''''',,,,;;;;;;::::::cccccclcccccccllccccccccllcccccccccccccccccccccccccc
ooooooolooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooodddddooooooooooodddoooooooooooodddoddddoooddoooddddddddddoooddddoodddddddddkOO00000KXXKKK0O0XXKKKXXXXNXK0OOO0KKXXXXK0OOO000OOkxxxddddkkOO0000KKXXXKOkkkkkkkxxxxxxkkO0K00O0KKXKXKKKKK00OOOO0000OOOOKKXXNNNNNNXK00Okd:,,,,'''''',,,,;;;;;:::::cccccccccllllloooooooooooooooooddoooooooodddoooodoooooooooooollllcccccc:cccccllllllcccclllllolllooollllooooooooooollolllllll:::::clllclcc:;;:cllooooooooddddddxxxddddddodddddddddddoooddddolcccoddoollcllllcc::clooooooooooooddddddddoooooooloooooooollollllloooooooooooooooooollloooooooooolloooollllllloooollllllllllllllloolllllllllllllclllccccccccclccccccccccccllllccccccccllcccdkOOOkkxxxxxxxxkkOOOOkkOO0OOOkkkkkkkxxxxxO000000OOOOOOOO000OOOOOOOOOOOOOOOOkkkkkOOOOOOOOOOkdooollllllooddkOOOOkxxkOO0O00000OOOkkkOkkkxdoolccllcloodddolccccoddddxxkkkxdolcclooooooollllooooollllllllllodddolllllooxxxollccc:::clooolc:;;::::::::::::::;,'''''',,,,;;;;;;::;::cccccclccccccclccccccccccllccccccccllccccccccccccccc
ooollllloooooooooolooooooolooooooooooooooooooooooooooooooooooooooooooddddddddddoooooodddoooooooooooddddoodddooooddddooddddddddooddddddddddoodxxxkO0KKKKKKXXXKK00KKKK0KXXNNXX0000KXXKKKK0OOkO0K0OOOOkxxxxxkO00KKXXXXNXK0OkxxkkO0000OOOkkxkOOOkOKXXKKKK0KKKK000000K00O000KKXXNNNNXK0Okkdoc;,,,,'''''',,,,,;;;;:::::cccccccclclllloooooooooooooooooddoooddooodddddoddddooooooooollllcccccccccccllllllclcccllllllllloolllcloodoooolooooloooollllc:;:::clllllllc;;:cccllooooooddddxdddxxxdddddddddddddddooddddddolcccooooolclloolllccclloooooollooooddddddddooooooooooollloooollllllllloooooooooooooolllllloooloooollllllllllllllooollllllllllllllllllllllcclllllllllllllccccclcccccccccccccllllccclcccclllcldxkkkxxkkkxxxxxOO00OOO000000OkkkOOOkkxxkO00OOOkkkkkkkkO00OOOOO000000OOOO00OOkkkO00K00000OOkxdolllllloodddxxxkxxddxkOOO0000000Okkkkkxddoollcloooooodoolc:ccllllooddkkxdooccclllllooooddxxdddoollcccccccloddolccclloddddoollc:::clooddlc::::::::cc:::::::,...'''',,,,;;;;::::::cccccccccccccccccccccccccccccllcccccccccccccccccccc
llllllllooolllooooooooooooooloooooooooooooooooooooooooooooooooodddooddddddddddddddodddddddoooodooooodddoooooooodddooodddddddddddddddddddddddxOOO00KXXXXXKKKKKK00KKKKKKKKKKKK000KKKK0OOOkkkO0XXK0K0OOOO0KKKXXXKKKXXXK0OOkkxkO0KKKK00OOOkkkkxxkOKKKKKKKKKXXKKXXKKK00KKKKKKXXXXK00OOkkkxdoc;;,,,''''''''',,,;;;:::::cccccccclllllllllllooooooooooooddooooooooooodddoddddoooooolllllcccccclcccclllllllclllllllllllllllllllloddoooooooooooooollccc:::::cloooooolc::::cllooooooooddxxxxxxxxxxdddxddddddddddddddddoocclllooolllloollloolcclllooollloooddddddddoooooooooooooooooooooolllllooooooooolllooooollllolllooooolllllllllllllllllllllllllllllcllllllllclllllllllllllllllccccccccccclllccccccccccccccllcllodxO000OkkkkkkkO00OkkkO000OOkxxkO00OOkOOOOkkkxxxddddxkOOOOOOOO00000kkkO000OkkkkkkOOOOO00OOkkdoodxxxdddddddddooooodxxkkOOOOOOkxxxxxxddoollooddxxxxxxdoolllllllllloodddoooolllllllloddxxxxxxdddooooolllllldddolllllclooddddolc::clldxxdoccc:::::::c::::::,...'',,,,,,;;;;;;::::ccccccccccccccccccccccccccccccclcccccccccccccccccc
loolollloooooolooooooooooooooooooooooloooooooooooooooooooooooodddddoddddddddddddddddddddddodddddddoodddoddooooodddddddddddddddddddddddddddddk0KKKKXXXXXXXXXKK00KKXKXXKOOOO000000K0OOO0OOO00KXK0OOOOO0KXKKKXXK0OOOOkkk0000OO000OOkkkkkOOOOOkkkk00KNNNXXXXXXXXXKK0O0XNXXK00K000OOOOO000kxo:;;,,''''''''',,,,;;::::::ccccccccllllllllllllooooooooooooooooooodooodoooddooooolllllccccccllllllccloolllccllllllllllllllllllllodooooooodooooolollccccccccclooooooolc:::cllllloooooddxxxxxxddxxxxdddddddddddddddddddolclllooooolloooolooolc::cloollllooddddddddooooloooooooooooooooooooooollloooooolllooooolllooooooooooooolllllllllccccccclllllllllccclllllllllllllllllllllllllclccccccccccllcccccccccccccccccoodxkKKK00OkkxxxxxkOOkoldkkOOOOkxxxOOOkkkkxxxdddddoddodxkkOkkkkOO000OxdxkOOOOOOOkkkxxxxxkkkkOOkxxxkkOOkxdoooooollloooddddddddxddoddxxxxddoodxkkkxxxdxxdxxxdddooooooooddxdddollllllodddxxxxxxxxddddxddddolllodxxddolcccclddddoc:::::coodddllllc:::::::::::;''.'''',,,,,,;;;;::;:::cccccccccccccccccccccccccccccccccccccccccccccccc
loololllloloooooolloooooloooooooooooolooooooooooooooooooooooooooddoodddddddddddddddddddodddddddddddodddoddooooododddddddddddxdddddddddddddddkKXKKKXXKKXXXNNXKKKKXXKKK0OkOOOOO00K0OkO0K0OO0XXXK0kkkkOO000O0KK0Okkkkkxk0KK00000OkkxkxkkkOOOOOkkkO0KNNXXXXKXXNXK0OOO0XNXKK0OO00K0O00KXXKOkd:;;,,''''''''',,,,,;:::::::::ccccccclllllllllloooooddoooooooooooddooooooddoooooolclllcccccclollllccloollllcclllllllllllllllclllodooooooodooooolollcccccccllloooloooolc::cllllllooddddxxxxxxddxxxxdddddddddddddddddddolcllooooollooooollollc:;:loollllloddddddddddoooooooooooooooloooooooolllloloodooloooooolllooooooooolooooolllllllccccccccllllclllccclccccclllcllllccllllccclccccccccccccccccccccccccccccccccoodkOKKK00OOkxxdxxkOOkocodkO0OOOkxxkOkkkkxxxdddddooododxxkkkkkkkO000OxdxkOOOO000OkkxxxxxxxxkOOkddxkkkOkxxoloooolllooodddoooooddooodxxkkxdoodxOOOxxxddxxxxkxxddoooodxxxkkxdoollclllodddxkkkxxxxxdddddxxdoollodxxxxdolc::coddool::::::cloddoooolc:::;::::::;,'.'..',,,,,,;;;;:;;;::ccccccc:cccccccccclcclcccccccccccccccccccccccccc