cccccccccccccccccclllllllllllllllllloooooooooooddddddddooooooooooooooooooooooooodddooooooolllllllllc;''';:::,.,ccccccccccccccccccccccccccccccccccccccccccccccccc
cccccccccccccccccllllllllllooooooooooooooooooooddddddooooooooooooooooooooooooodddoooooooollllllc:,,,;:cccccccc,'cccccccccccccccccccccccccccccccccccccccccccccccc
llccccccccccllllllllllllloooooooooodddooooooooooooooooooooooooooooooooooddddddddooolllllllll:,,,;:::::;;;,;:ccc;,cllllllccccclcccccccccccccccccccccccccccccccccc
lllllllllllllllllllllloooooooooooodddddddddoooooooooooooooooooooooooooddddddddooooolllllc;,',::::;;;;;;;;;;,;:cc':llllllllllllllllllllllllllllllllllllllllllllll
llllllllllllllloooooooooooooooooooddddddodddooollooooooooooooooooooodddddddddooooollc:,',;:::;;;;;;;::::::;;,;cc,,llllllllllllllllllllllllllllllllllllllllllllll
llllllllllllloooooooooooooooooooooooooooooooooooooooooooooooooooddddddddddddoooolc,'',:::;,,,;;;;:::::;::::;,;:c;'llllllllllllllllllllllllllllllllllllllllllllll
lllllllllllloooooooooooooooooooooooooooooooooooooooooooooooooooddddddddddddoooc,'';::;,,,,,;;;::::::;;;:::;;,,:c;'llllllllllllllllllllllllllllllllllllllllllllll
llllllllloooooodoodddddddddddddddddddddoooooooooooooooooooooooooddddddddddoc,'';:::,,',,;;;;;:::::;;;;:::;;;,,:c:'looooooooooooooooooooooooooooooooooooooooooooo
oooooooooooodddddddddddddddddddddddddddooddddddoooooooooooooooooddddddddl,.';:::,'',,,;;;;:::::::;;;;::::;;;,,:c:,looooooooooooooooooooooooooooooooooooooooooooo
oooooooooddddddddddddddddddddddddddddddddddddddooooooooooooooooddddddo:'.';::;,'',,,;;;;;;::;;;;;;;;;:::;;;,,,:c;;oooooooooooooooooooooooooooooooooooooooooooooo
ooooooodddddddddddddddddddddddddddddddddddddddoooooooooooooooodddddl,..,;;;,'.'',,,,;;;;;;;;;;;;;;;;;;;;;;,,',:c,:oooooooooooooooooooooooooooooooooooooooooooooo
ooooooddddddddddddddddddddodddddddddddddddddddoooooooooolllcccccc:'..,;;;,..''',,,;;;;;;;;;;;,,;;;;;;;;;;;,,',c:'loooooooooooooooooooooooooooooooooooooooooooooo
ooooooodddddddddddddddddooooddddddddddodddddddolc:;,'.............'',;;;...''',,,;;;;;;;;,,,,,''''''....'','':c,,ooooooooooooooooooooooooooooooooooooooooooooooo
oooooooddddddddddddddddddoooooddddddddoool:,'..................',,,;;;'..'',,,,;;;;,,''.............''''....,::.cdooooooooooooooooooooddoooddddddddddddddddddddd
ooooooodddddddddddddddddddddooooodoolc;'.....................',,,,;;,..''',,,,'.............'''''''''''''''..;'.'ldddddddddddddddddddddddddddddddddddddddddddddd
oooooddddddddddddddddddddddddooooc;'........................,,,,,;;,..''................'''''''''''''''''''''.....,,,;:loddddddddddddddddddddddddddddddddddddddd
oooddddddddddddddddddddddddddoc,...........................,,'',;;'.................''''''''''''''''''''''''''..........'coddddddddddddddddddddddddddddddddddddd
dddddddddddddddddddddddddddl,.............................,'''','................''''''''''''''''''''''''''''''......''''.'cdddddddddddddddddddddddddddddddddddd
ddddddddddddddddddddddddo:...............................'''..................''''''''''''''''',,,''''''''''''''.......'''..,odddddddddddddddddddddddddddddddddd
ddddddddddddddddddddddo;................................''.................''..''''''''''''''''''''''''''''''''''.......''''.'oddddddddddddddddddddddddddddddddd
ddddddddddddddddddddo;........................................................'''''''''''''''''''''''''''''''''''''............:odddddddddddddddddddddoc::::cccc
ddddddddddddddddddo;........................................................'....'''''''..''''''''''''''''..'''''''''''''''''''..,cdddddddddddddddddo;cdk0KKKKKK
dddddddddddddddddc.................................. ..........................'''''...'''''''''''''''.....''''...''''''''',,,,,,'.'cddddddddddddddl'xK0kkkkkkkx
dddddddddddddddo,............................................................'''....'''''..'''''''.......'''.......'''''',,,,,,,,,,'.cdddddddddddddc:K0O0KKKKK00
ddddddddddddddo'..':l:................................... ........................''.....'''''.........'''.........''''',,,,,,,,,,,,.,lllllcc:::;;,''kK000000000
ddddddddddddddoloddo'.................................. ...............................''''...........''...........''''',,,,,,,,,,,,..'''',,,,,''',:;;O0O000OOkk
ddddddddddddddddddc................................... ..............................''...',;,......''.............'''',,,,,,,,,,,,,...',,,,;;;:ccccc;;kOkOOOOOk
ddddddddddddddddo,.................................. ..............................'..',;::;,......''.............'''',,,,,,,,,,,,,,'......';::cccc:;'.'dOkxkkkk
dddddddddddddddl................................... ................................,;:::::;'.....''..............''''',,,,,,,,,,,,,'.''''....';,'...,;;'ckkdddd
ddddddddddddddl....................... .;;;;;;,'..................................';:::::::,......'..'............''''',,,'',,,,,,,,..'''''',,'..',;;::::,,oxdol
dddddddddddddc...........................;;::;'..................................''...',;:;'........,............''''''',,'',,,,,,,'..''',,'',,'.,::::::::;.,lol
ddddddddddddc.............................,;,'................................',''...''...'........;,............''''''''''',,,,,,,'.''',,,'',,,..:ccc::;;;;;',c
ddddddddxxdl...............................'................................,;;;;;;,'...''........;;,............''''''''''',,,,,'''.''',,,'',,,'..;:;;;;:::::,'
dddddddxxxo'....................',,;;;;;;;;...............................,:cc::::;;;;;,.........,:;'..............''''''''''''''''..''',,,'',,,,...';;;:::;;,;c
xxxxxxxxxd,...................',,;;;;;;;;;'.................................,:cccccc::;;;,.......,::,..............''''''.'''''''''..''',,,'',,,,....'::::;,,:c:
xxxxxxxxx:....................',,,,,;;;;;'............................;c,..   .':ccccc::;;;'......';,...............''''..''''''''...''',,,,',,,,'....,:;,,;:c;'
xxxxxxxxo......................',;;;;;;;,............................d0c..........;ccccc:;;,.....'..,.....................'''''''.....'',,,,',,,,,..'..',,;c:',o
xxxxxxxx;........................,;;;;;;'...........................dK0o......,;'. .,:ccc::;.....''..'...................'''''''......'',,,,,,,,,,..''..,:c;.:dx
xxxxxxxo..........................',;;;,...........................:lk00xlccokOkOk:. .':cc::,...'.''.'......................''....'...''',,,',,,,,..'''.';.;oxxx
xxxxxxxc...........................',;;,..........................:cc:cdO0KKXXKOdxdc....,cc::'..;;''''............................'...''',,'',,,,,...''..'lxxxxx
xxxxxxd,. ........... ........',,,,',,;'..................'......cccccc;;:oxkkkOKK0k:.;'.;ccc:,.;cc:::,..........................''...''',,'',,,,,...'''.,xxxxxx
xxxxxxo.. ...... ...  ........',;::;;;,'.................,......clcllcccc::lkKNNXXXKx,:cc:ccccc::ccccc:'.........................''...''',,'',,,,,....'''.lxxxxx
ddddddc.  ..........  .........',;;:;;,.................:'.....:llllllllccccccoOKXXXkcccccccccccccccccc;.........................'....''',''',,,,,....'''.;dxxxx
dddddd;.  .......... ............',;;;,................:;.....:lllllllllllllllcclodollllcccccccccccccccc,.............................''''''',,','.....''..dxxxx
dddddd,.   .... .... .............',,;,..............':c,....;llllllllllllllllllccllllllllllllccccccccccc,..............';;...........'''''''''','.....'''.lxxxx
dddooo'.   ........   .............',,,.............':c:'...'cllllllllllllllllllllllllllllllllllllcccccccc,............,;:'...........'.''..'''''......'''.;xxxx
oooooo'.   ........   ........... ..','.............:cc;....:cclllllllllllllllllllllllllllllllllllllccccccc;..........''................''..'''''.'.....''.'xxxx
oooool'    ........   ................'............::cc;...,cccccllllllllllllllllllllllllllllllllllllcccc:'.....',,,'...................'...'.'''.cc....''..dkkk
oooooo'   ..........  ............................;:::c;...:ccccccccccllllllllllllllllllllllllllllllllc:.     ..;:c:;,,'......................''.'dx,...''..dkkk
oooooo'  . .........  ............ ..'...........;::::::..'ccccccccccccllllllllllllllllllllllllllllllc,.     ..'..';c:;,.........................ckkd...''..dOOO
oooool.  . ..........  ............ ..'.. ......,;;:::::'.;ccccccccccclllllllllllllllllllllllllllllll:.,'..',::dxc'..';'...'....................'xOOO:...'..xOOO
oooool.  ............. ............. .''........;;;;::::;,:ccccccccccclllllllllllllllllllllllllllllll:.',;;;:cok0Odc' ...',,'...................:kOOOd...'..xOO0
oooooc.  ..............................''......,,;;;;::::::cccc::cccccllllllllllllllllllllllllllllllll;':cldkOkxol:,''..  ......................dOOOOk,..'.'k000
lllll;..  ..............................''.....',,;;;;:::::cccc::ccccclllllllllllllllllllllllllllllllll;,ccccccccccc;..........................:OOOOOOl....,O00K
lllll....  ..............................''......,,;;;;:::::ccc::cccccclllllllllllllllllllllllllllllllll;,cllllccccc:..........................dOOOOOOx....l000K
llll:.........'''''''''....................;;,....,,;;;:::::cccc:ccccccclllllllllllllllllllllllc::::cllll,'cllllcccc;.........................,kO00OOOO;...kKKKK
ool:......''''''',,,,,,,,,,'................,;,....,,;;::::::ccc::ccccccclllllllllllllllllllll:,'....',;cc',ccclcccc;.........................cOOOOOO00o..l0KKKK
;.....'''',,,,,;;;;;;;;;;;;;;;,'.............','....,;;;:::::cccc;:cccccccllllllllllllllllllll,.:;........'.,ccccccc;.........................x00000000k,:0KK0KK
....''',,,,,;;;;::::::::::::::::;;,............''....,;;:::::ccccc,;cccclllllllllllllllllllllc'.'lo:'........,c:,;::,........................,0KKKKKKKKK0KKKKKXX
.'''',,,;;;;::::::::::cc::::::::::::;'..........''...',;;:::::ccccc',cccllllllllllllllllllllll,...,lxxdc'.....,:,..............c.............:0KKKKKKKKKXXXXKKKK
''',,,;;;::::::cccccccccccccccccccc::::'..........'...';;;::::ccccc;,;:cllllllllllllllllllllll,......';ldxl;..................cK,............oKKKKKKKKKKKKKKKKKX
',,,;;;;::::::cccccccccccccccccccccccccc:,.........'...,;;;::::ccccc':llcccllllllllllllllllllc,..........';lc,................kKl............xXXXXKXXXXXXXXXXXXX
,,,;;;;:::::cccccccccccccccccccccccccccccc:'............,;;::::ccccc;;odxoc:;:clllllllllllllll;..............................:0KO'...........OXXXXXXXXXXXXXXXXNO
,;;;;::::cccccccccccccccclllllllllcccccccccc;............,;;::::ccccc,okxOOkdoc;;;:cllllllllccc:,''',,;;:::;.................dXKKd..........'0XXXXXXXXXXXXXXXX0;
;;;::::cccccccccccccccclllllllllllllllccccccc;............,;::::cccccc;:ok0OOkxddoc::;;:cccccclllllllccccc;,.................kXXXKl.........;XXXXNNNNNNNXXNXX0;,
;:::::ccccccccccccccllllllllllllllllllllcccccc;............;;::::cccccc:;cdkkkxkkkkx;;;,;cccccccccccccccc';O:.............'..OXXXXK;........cXNXXXXNNNNNNNXXk,,;
:::::ccccccccccclllllllllllllllllllllllllcccccc'............,;;::::cccccc:;:cdxkO00l...;c'':cccccccccc:,..lXx.............'..0XXXXX0,.......lNXXXXXXXXXXXXXd',;;
::::ccccccccccllllllllllllllllllllllllllllcccccc.........'....,;;:::::cccccc:;;:llclc........''''''''.....cKKc............'..0XXXXXX0,......cXNXXXXXXXXXXKc';;;;
::cccccccccclllllllllllllllllllllllllllllllccccc:........'......,;::::::cccccccc:,,;......................,0X0,...........'..ONXXXXNN0;.....:XNNXXXXXXXXO;,;;;;;
:cccccccccllllllllllllllllllllllllllllllllllccccc;.................,;::::::ccccccc:'.......................xXX0,..........'..ONXXNNNNNKl....;XNXXXXXXXKl';;;;;;;
:ccccccccllllllllllllllllllllllllllllllllllccccccc,...................',;;;::;;,'..........................:KXXO'........''..xNNNNNNNNNXk'..,KXNNNXXXx;,;;;;;;;,
cccccccclllllllllllllllllllllllllllllllllcccccccccc::;... ..................................................xXXX0,......''''.cNNNNNNNNNNNKd';KXXXXXk;,;:;;;;;;;;
cccccccclllllllllllllllllllllllllllllllllcccccccccccccc;....................................................,KNNNKc.....''''.,KNNNNNXXXXXXXKKXXXXOc,;::;;;;;;;;;
ccccccccllllllllllllllllllllllllllllllllccccccccccccccccc:...................................................lXNNNXd'...'''''.dNXXXXXXXXXXXXXXXOc,;::;;;;;;;;;;;
cccccccllllllllllllllllllllllllllllllllcccccccccccccccccccc:'.......'.........................................dNNNNN0c...''''.,KXXXXXXXXXXXXXkc;;:::;;;;;;;;;;;,
cccccccclllllllllllllllllllllllllllllcccccccccccccccccccccccc:,.......'........................................xXXXXXXO:..''''.lKXXXXXXXXXKx:;::::;;;;;;;;;;;;,.
cccccccccllllllllllllllllllllllllllccccccccccccccccccccccccccccc:,.......'......................................xXXXXXXX0l'..'..xXXXXXXKOl;;::::;;;;;;;;;;;;;,.,
ccccccccccccllllllllllllllllllllllccccccccccccccccccccccccccccccccc:,......'.....................................dKXKXXXXXKkl;..,0XKK0dc;;::::;;;;;;;;;;;;;;,.';
:cccccccccccccccccclllllllllllcccccccccccccccccccccccccccccccccccccccc:,......'...................................lKKKKKKKKKKK0kk00xc;;:::::;;;:::;;;;;;;;;,.';;
cccccccccccccccccccclllllllccccccccc::ccccccccccccccccccccccccccccccccccc:'....''...................'..............oKKKKKKKKKKKKKx:,::::::::::::;;;;;;;;;;;'.;;;