MMMMMMMMMMMMMMMMMMMMMMMMMMMMWXxoo0WMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMM
MMMMMMMMMMMMMMMMMMMMMMMMMMNOdc'.,kWMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMM
MMMMMMMMMMMMMMMMMMMMMMMMMXl'...;kNMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMWMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMM
MMMMMMMMMMMMMMMMMMMMMMMMMO;...'dNMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMXxo0WMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMM
MMMMMMMMMMMMMMMMMMMMMMMMMO;.e.:KMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMW0:.,dNMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMM
MMMMMMMMMMMMMMMMMMMMMMMMMO;.v.:0MMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMNo...,kMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMM
MMMMMMMMMMMMMMMMMMMMMMMMMO;.i.'dNMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMXl...'xWMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMM
MMMMMMMMMMMMMMMMMMMMMMMMMXo'.l.:0WMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMWKc....lKMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMM
MMMMMMMMMMMMMMMMMMMMMMMMMM0:....;xXMMMMMMMMMMW00NWWKkdk0K0xokKKkdxkxkkkkkkkkdxOOXWMMMNd'....,kMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMM
MMMMMMMMMMMMMMMMMMMMMMMMMMWd.....'ckXWMMMWNNWk,,lxoc:cllllcccllc:ccccllllllclllcokKXNk,.....,OWMMMMMMMMMMMMMMMMMMMMMMMMMMMMMM
MMMMMMMMMMMMMMMMMMMMMMMMMMM0:.......;okkdlcoxo::clllolllooollooocclllllllllllllloooooc......,OWMMMMMMMMMMMMMMMMMMMMMMMMMMMMMM
MMMMMMMMMMMMMMMMMMMMMMMMMMMWKl'........''';:cllooolllclllooodxddoodxddxxdolc:::clllc;.......,o0NMMMMMMMMMMMMMMMMMMMMMMMMMMMMM
MMMMMMMMMMMMMMMMMMMMMMMMMMMMMXl............':llooooooolcclodxxdoooddxkkkkxdo::::cc:,........:lcdNMMMMMMMMMMMMMMMMMMMMMMMMMMMM
MMMMMMMMMMMMMMMMMMMMMMMMMMMMMWKd;........';:::,.',;cddooodddddddooooooc;:dkdc:;,''..........:ollxO0KNMMMMMMMMMMMMMMMMMMMMMMMM
MMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMWKo'...',;:ccc:;,'. .lxdxxdoooooooooc;.  .cdc'..............,cloool::o0WMMMMMMMMMMMMMMMMMMMMMM
MMMMMMMMMMMMMMMMMMMMMMMMMMMMMMWXOd::::cllllllccclc,;lddxdollolclloo;..,:ccccc;'..........';lddddolcc:oOOkkkk0NMMMMMMMMMMMMMMM
MMMMMMMMMMMMMMMMMMMMMMMMMN0Oxol:;:loxdoccccccc,.,;:clcccccclooooodol:cooc::looc;'......',:lllodddocccccc;,,;:OMMMMMMMMMMMMMMM
MMMMMMMMMMMMMMMMMMMMMMMNkc,''',:clodolc::cldxdc:;;:::::;;coxxdddxxdolll:;cccloooc;,,,;:lollcloddoocc::clloollo0X0OKWMMMMMMMMM
MMMMMMMMMMMMMMMMMMMMMMMNd:;',:ldddolc::codkkxxddl:::;::::;coddoooolccloolllollloollccccllloooddololcccccllooooddl:cOMMMMMMMMM
MMMMMMMMMMMMMMMMMMMMMMMNd::cldxxxdl:;;coxkxddoooc:::cll:'.,clllodol::cllooodddollodolcccccllooollllllllccclooddol:;kMMWMMMMMM
MMMMMMMMMMMMMMMMMMMMMMMWOlcoxkOOxo:;:ldkkkxdolc:;,;cddl;'.,cc:::clc;:ddlcoodxkkdodxkkxdlccclllllllooolc:;:cllllolc:dOdkWMMMMM
MMMMMMMMMMMMMMMMMMMMMMMNxloxxkkxdlccoxkkkxol:;,'',cddol;....''''''',cxxl:codxxddoodxkkxollccclllllloddoc:;;:cclodlccloOWMMMMM
MMMMMMMMMMMMMMMMMMMMMMMN0xdxkkxxdlodddddooc:,,'.';cllol:,.........';dOxl;;clddollodxkkkxdlc;;:lllllllolc::;;:cccccckXNWMMMMMM
MMMMMMMMMMMMMMMMMMMMMMWkldxxkxxdddddooolcc:;,,'',:ccloodol:,'...;ldkOOxl;;:cloollodxxxkkdl:;:cccccccc:;;;;;:;::c:::kWMMMMMMMM
MMMMMMMMMMMMMMMMMMMMMMWxcloodddddocccllc::;;;;;:cccccclloddl:'.'lk00Okxlc::ccllllooddxxdol:,;:llllllc:;,,,;::::cc:;ckWMMMMMMM
MMMMMMMMMMMMMMMMMMMMMMNx::coxxxxdolloooolcc::::::cllc:cloddo:,':xO00Okxdlccclllloooooddxdoc:;::cclcclc:;,,;;:::::::,:kWMMMMMM
MMMMMMMMMMMMMMMMMMMMMNOc';coddoooollloolc;,,,,,,,;cc::ccodolc;:okOOO00Oxolooloooooooooddolc:c::cccc:ccc:::;;;::;:::;;ckNMMMMM
MMMMMMMMMMMMMMMMMMMMMk;;',;clllodolll:;,'.......',;;;;;:clc:;;:coxkOOOkxdxxddddxxdlcclddo:;;;cccclc::clllc:;;;:::;;;:;;lONMMM
MMMMMMMMMMMMMMMMMMMMWd,,,;:cllolllcc:;''..........'.....',,'...';clooddddxxddodddollllooo:,,;:clllcccccclc;;;;;:::;;;:;,;lONM
MMMMMMMMMMMMMMMMMMMMNx:,,,;cc::::cc:,'... .........'.............';loddollcccclooloodolc:;,,;;;clolccc::cc::cc:::::;;;;;,,cKM
MMMMMMMMMMMMMMMMMMMMKl;,,,;;;:::;;;,'.............';;,.........':oddodolccclllclllloddl:;,,,::;;:cc:;;cc:lc:ccc::::::;,;clkNM
MMMMMMMMMMMMMMMMMMMMO:,,''',;:;,''.................,;;,'....,:clxkxdddolc:cc:cccloddxdol:;;:ccc::::;:;:lccllccccc:ccc:;,lKWMM
MMMMMMMMMMMMMMMMMMMWO:,''',;::;,'..................'',,,,,,;:clloollodollc;::,;codkkkdooc:;;;;::c:;;::clollloolclllllc:;;xWMM
MMMMMMMMMMMMMMMMMMXd:,''',;;::;,'...................'','',;::cclcccccllccc,,:cccldkxkxolcc:;;:::::;;::ccllllloolccclool;,:kWM
MMMMMMMMMMMMMMMMMNd;,'..''','',,,'..       ......''',,''.';::::::;:::::;;;,;:loooddddddlclc;:c:;;::;::ccclolloollccloooc,,lKM
MMMMMMMMMMMMMMMMWO:''.....',,'''...         .....''''''...',,,,;;;,,,,,,,,,colllllooooollllc:ccc::::cccclloollllccllll::;,,oK
MMMMMMMMMMMMMMMMNl''....'',;,,'..           ...............''''','..'''',;;:ccccllooooolllllcccc:::clcccllloollllccloo:;;,''d
MMMMMMMMMMMMMMMMNl.....''',,;;;,'..    .........     ......''',,'''.....,:;;;,;;cllolllloooollcc:::cllcloooooollllolc:::;,;;x
MMMMMMMMMMMMMMMMWd........'''',,,,'''',,'.'',,,'.   ..',,'...''..........',,,,,,:c:clllloddoolcccc:cccclddoooolclooddddoc;,oK
MMMMMMMMMMMMMMMMMKc...............',;;;;,'',:lllc,...,;clc::;'......   ...',:::;:cccloodooolccc;:ccccllcoolllolloodxxxdoc:;dN
MMMMMMMMMMMMMMMMWk:,.............''',,...';:ccccll:,,;;clcccc,'..,,,'.',;:::loolllllooodlccc::;;:lllloolcooolclllddxxolc;;lOW
MMMMMMMMMMMMMMMMWKl;'....... .......','....;:clc,'',,;:clollc,'':odoolcloolooooooolloolc:;;;::,;:lolllol:lddoccoddxxdl:;',oXM
MMMMMMMMMMMMMMMMMXo;,....  ...........;c:,.....'..',,,,,;::::::ldolccc:clc;;:c::cc;;:::;'',,,,;:cllccllooooooccldxxdolc;''lXM
MMMMMMMMMMMMMMMMMXo::'................'co:'.......''',:coolclool:,,,'..'''...,,'''',,....'',;:cc:cc:clllodlccccldxxxdol;..lXM
MMMMMMMMMMMMMMMMMWkc;...............'''''...........''',;;::;,,'...................''....,,;:c::::ccloolll:;::coxkkxdl:'.;xNM
MMMMMMMMMMMMMMMMMMWk;........'.''...'''..................,;::;,,'.......................',,;:;;;::cooolc:;,;;:codxddoc,..;OMM
MMMMMMMMMMMMMMMMMMMKl;...........'........................';:clc:'..................''.';;,;;;;;;cloolcc:;,,;:lodoccc:,.'dNMM
MMMMMMMMMMMMMMMMMMMWk:'..  ..............    .... ....    ...',,,'''.....'''.......'''.';;;::;;::cllcc:;,,;,;lddl:;,,,.':0MMM
MMMMMMMMMMMMMMMMMMMMXxc..    ..........            ...     ..............''''''''.'''',,;;;;;:::cc::;::;,;::codoc;,,'..'xWMMM
MMMMMMMMMMMMMMMMMMMMMWd...       ....               ..     ..    ...........','''''',;;:;,;;;::::;,,,;,,;:ccodxdc;;,'..lXMMMM
MMMMMMMMMMMMMMMMMMMMMWo''..         .                      ................'''','''',;:;,,;::::;'''',:;;ccclddoc:;,'..:0WMMMM
MMMMMMMMMMMMMMMMMMMMMWo'.....      .                       .............'''''''''','',,'',;,'''..',;clccoollll:'.'..'oKWMMMMM
MMMMMMMMMMMMMMMMMMMMMWx,'.....         ...           ......'',,;,......''','......''...........';:cccclooool::;.....;KMMMMMMM
MMMMMMMMMMMMMMMMMMMMMMXl..,'..          .............''.',,,',;:;'............................;c::::clloolol,,,.....lKMMMMMMM
MMMMMMMMMMMMMMMMMMMMMMNo.';,..            ..    .............',,'.....................',,',,',;;::ccccllclo:,'.....:OMMMMMMMM
MMMMMMMMMMMMMMMMMMMMMMNl.,;'...  .  .   ....  .  ..  ..     ..... ... ........'',,,;::;::,''...';cllccccloc;,'....:kNMMMMMMMM
MMMMMMMMMMMMMWWX00KK0kdc,,,'...  ...............      .  .    .........''..';:cclllooc:cc:;,,,;;:cllllllll:,....'xXWMMMMMMMMM
MMMMMMMMWNK00kxdcc:;,'......      ......... ..         ....  .......'',;:;,:lddoooooolllccc:;;;;;;clool:;,......'xWMMMMMMMMMM
MMMMMMNXOxollc::;,.............             ............................''..,;,,;;;;::::;::;,;:c::ldddoc,'. ....,xWMMMMMMMMMM
MMMNXKkol:;,,'''''...',,.....'''..    .......''',,,,,,,,,',,,,,,''''''......        ......',;:;,''';ccc;'....',,oXMMMMMMMMMMM
MWKkddl;,'.....',,,;;;;;,,'',;;;,,''..'''',;;;;;:;:::::::cc::::::::::::;;;,,'....        .''',,,,'',;;,'.....':xXWMMMMMMMMMMM
KOOkdc,'.'',;;;;;;;,'.,::;'.,;:::::::;,,,,;;;;;;:::::::::cccccccccc::cccc::::;'.....  ..,,,'.''''',;,'.....;:cxXMMMMMMMMMMMMM
kdxo:;;:cclooc:,,,;;;:cc:;;:cllllcc:::;;;;;;;;;::ccc:cccccccccccccccccccccllll:,....',,,,'..'''''.','...,:dKNWWMMMMMMMMMMMMMM
Kko;,;;:cldxdl;,;:c::cccccodoooollccc:::::ccccccccccccclllllllllllccccclloodol:;,;::::::,..',,,,''...:O0KNMMMMMMMMMMMMMMMMMMM
MMWXX0x:.'col;;:llcc:;:lodoodddoolllllcclllllccccccccclllllllloolcclllloddol:,,;::;;;:cc,..',,,',,...oNMMMMMMMMMMMMMMMMMMMMMM
MMMMMMMNOkOOOOO00xllooooodooddddooooooooooolllllllllclccccclllllllllooddoc:;;:cc:;;:::::'.';;;,',;;ckNMMMMMMMMMMMMMMMMMMMMMMM
MMMMMMMMMMMMMMMWX0xdddoooooodddddddddddddoooooooolllccccclllcccclooooollolc:::;;:::::::;'';cc:;,;;lKMMMMMMMMMMMMMMMMMMMMMMMMM
MMMMMMMMMMMMMMNOxddddddddddddddddxxxxxddddddddolllcclccclllllllllol:;'.,clc::::::::cloc;',;cc:;;::oKMMMMMMMMMMMMMMMMMMMMMMMMM
MMMMMMMMMMMMWKkxdddddxxxddxxdddxxxkkxxxxdddddooollllllllllllllllc:c:....';::coxxlclodo:,;looc;'';cdXMMMMMMMMMMMMMMMMMMMMMMMMM
MMMMMMMMMMMNOdoddddddddddddxxxxxxxxxxxxxxxdddooooooooollllllc:;:oxKX0kdxoc;'.,cl:;clc:,':dkd:'..,oXMMMMMMMMMMMMMMMMMMMMMMMMMM
MMMMMMMMMMWkoooodddddddddxxxxxxxxxxxxxxxdddddddddddddoolc:cldkk0WMMMMMMMWNXOxxdc::ccllc:coddxkxx0WMMMMMMMMMMMMMMMMMMMMMMMMMMM
MMMMMMMMMMKdoddddddddxxxxxxdxxddddxxxxxxdddddddxxddolc;;ldONWMMMMMMMMMMMMMMMMMWWWWWWWWWWWWWWMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMM
MMMMMMMMMM0dddodddddxxxxxxxxxxxxxxdddddddddddddolc;,;cokNMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMM
MMMMMMMMMMO::lddddxxxxxxxxxxxddxxxdxddddoollc:;;ccokKNMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMM
MMMMMMMMMMXd;,;;:cloodddddddooooolcccc:;:;,:llxKNWMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMM
MMMMMMMMMMMWXOdool::c;',;,'';cccc::oxxddOKKXWMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMM
MMMMMMMMMMMMMMMMMWXXXkclxo:cxXXXXXXWMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMM