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OOOOOOOOOOOOOOOOkkxxdooc;'. .. ....................................................................................................................................................................................
OOOOOOOOOOOOOOOOkkxxddoc;'. .......................................................................................................................................................................................
OOOOOOOOOOOOOOOkkkxxdolc,.. ....... ............................................................................................................................................................................................
OOOOOOOOOOOOOOOkkkxxdol:,.. ....................................................................................................................................................................................................
OOOOOOOOOOOOOOOkkxxdolc;'. ...................................................................................................................................................................................................
OOOOOOOOOOOOOOkkkxxdol:,.. ..................................................................................................................................................................... ................................
kOOOOOOOOOOOkkkkxxdol:;.. .................................................................................................................................................................... ...........................
kkkOOOOOkkkkkkkkxdolc;'. ................................................................................................................................................................. .........................
kkkkkkkkkkkkkkxxxdlc;,.. ................................................................................................................................................................ .......................
kkkkkkkkkkkkkkxddoc;,.. ....................................................................................................................................................................... ........................
kkkkkkkkkkkkkxddol:;'.. . ........................................................................................................................................................................ ................................ . ...............................................
xkkkkkkkkkkkxxdolc;'... . ............................................................................................................................................. ........................... ...............................................................................................................
xkkkkkkkkkkxxdolc:,................ ................................................................................................................................',,,,,,,.......... ................. .............................................................................................................
xxkkkkkkkxxxdolc:;'...........................................................................................................................................';::cccc:::::;;;::;,'.. .. ...''''''''.................................................................................................
xxkkkkkkkxxddolc;,........................................................................................................................................,;:cccccccccccc:;;;;;;;,,. ..'''''''''''''''''''''''''''''''''....................'''......'''''''''''''''''''.......................
xxxxxkxxxxddolc;,.....................................................................................................................................';clllllllllccc::;;;;;;;;,,''. ..''''''''''''',,,,,,;;,,;,,,,,,,,'''''''''''''''''''''''''''''''',,,,,,,,,,,,,,,''''''''''........'.'...
ddxxxxxxdddolc;,...................................................................................................................................,:clollllllllc:::::;;;;;;;;,,'''. .',,'''',,,,,;;;;::::::::::::;;;;;,,,''''''''''''''''''',,,,,,,;;;;::::::::::;;;,,,,,''''''''''''''''''
ddxxxxddddolc;,..... ..........................................................................................................................';looooollllllllccccc:;;;;;;;,,,'''. ..','',,,;;;;::::cccccccccc:::::;;;,,,'''''''''''''''',,,,,,;;:::::cccccccc:::::;;;,,,''''''''''''''''
ddxxddddollc;,....... ......................................................................................................................,:clooolllllllcccccccc:::::;;;;;,,,'''. .',,,;;;:::::ccccccccccccccc::::;;;,,,'''''''''''''',,;;;;::::ccccccccccccccc::::;;,,,''''''''''''''
oddddoollc:;,.. ...................................................................................................................,:loooollllllcc::::::cccc::::::;;;;,,''.... .',;;;:::cccccllllllllllcccccc::;;,,,'''''''''''''',;;;:::cccclllllllllllllccc:::;;,,''''''''''''''
ooooollc::;'.. ................................................................................................................,clooooollllllccc:::::::::::::::::;;;;,,''..... .,;;;::cccllllloooooolllllccc:::;;;,,'''''''''''',,;;:::cclllllllooooollllllcc:::;;,,'''''''''''''
ooollcc:;,'.. .............................................................................................................';coooooollllllcccc:::::cc:::::;::::;;;;;;,''...... .';:::cclllloooooooooooolllcccc::;;;,''''''''''',,;;:::ccllllooooooooooooolllcc:::;;,,'''''..'''',
llcc::;,'.. ...........................................................................................................;coooooolllllllcccc::ccccccc::;;;;;;;;;;;;;;,'''..... .,::cccllloooooooooooooolllccc:::;;,,'''''''''',;;:::cclllloooddddddddddoolllcc:::;,,''''.....'',
c:::;,'... .........................................................................................................,loooooolllllllllccccc::::::::::;;;;;;;;;;;;;;;,''...... '::ccllllooooooooooooooolllccc::;;,,''''''''',,;;::ccllllooooddddddddddooolllcc::;;,'''......',,
:;,,''.. .......................................................................................................,coooooollllllllcccccc:::;;;;;;;;;;;;;;;;;;;;;;;;;,'...... .;:ccllllooooooooooooooolllccc:::;,,''''''''',,;;::ccllloooodddddddddddooolllcc::;;,'''....''',,
;'..... ....................................................................................................':loooollllllllllcccc::::;;;;;;;;;;;;;;;;;;;;;;;;;;;;;,''..... .,:cccllloooooooooooooollllcc:::;;,,''''''''',,;;::ccclloooodddooddddddoollllcc::;;,'''....''',;
'..... ....................................................................................................,coooooollllllllccc::::;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;,,'....... .,::ccllllloooooooooooolllccc::;;;,'''..''''',,;;:::ccllooooddddddddooooollllcc::;;,''......'',;
...... ...................................................................................................;loooooolllllllccc:::;;;;;;;;;;;;;;;:;;;;;;;;;;;;;;;;;;;;,''....... .,;;::ccccllllooooooollllccc:::;;;,,'........'',,;;;::ccllloooodddddooooollllcc::;;,,'.......'',,
.... ................................................................................................'coooooolllllllccc:::;;;;;;;;;;;;;;:::::::::::;;;;;;;;;;;;;;,,''...... ..,,,;;;::ccccclllllllllccccc::;;;,,''..........'',,;;;::cclllllooooooooollllccc::;;,,''.........',
.. ..............................................................................................';looooollllllllccc::::;;;;;;;;;;;;:::c:::::::::;;;;;;;;;;;;;;,,,''...... ....''',,,;;::::ccccccccccc::::;;,,,'''.............',,,;;;::ccclllllllllllcccc:::;;,,,'...........''
. .............................................................................................'coooooolllllllccccc:::;;;;;;;;;;;;::::c::::::::::;;;;;;;;;;;;;;;,,''...... .........''',,;;;;:::::::::::;;;,,,,''.................'',,,;;::::cccccccccccc::::;;;,,''.............'
............................................................................................'coooooollllllcccccc:::;;;;;;;;;;;;::::cc::::::::::;;;;;;;;;;;;;;;;,,''...... ..............''',,,,;;;;;;;;;;,,,,'''.....................'',,,;;;;:::::::::::::;;;,,,''................
.. . ...........................................................................................'cdddooollllllcccccc:::;;;;;;;;;;;::::ccc:::::::::::;;;;;;;;;;;;;;;;;,,'''...... .....................''''',,,,,,''''.............................''',,,,;;;;;;;;;;,,,,'''...................
...... ....................................................................................'''''''codoooolllllllllcccc::;;;;;;;;;;::::ccccc:::::::::::;;;;;;;;;;;;;;;;;,,,,'''..... ............................''''.....................................'''',,,,,,,,,,'''.......................
.......... ....................................................................................'''''':odooollllllllcccc::::;;;;;;;;;;:::::cccc::::::::::::;;;;;;;;;;;;;;;;;;,,,,,''...... ............................................................................''''''''...........................
'''.......... .....................................................................................'''',:odooollllllllccc::::;;;;;;;;;;;;:::::cccc::::::::::::::;;;;;;;;;;;;;;;;,,,,,,,''..... ..................................................................................................................
,,''''''........ ....................................................................................'''';odooolllllllccccc:::;;;;;;;;;;;;;::::ccccc::::::::::::::;;;;;;;;;;;;;;;;;,,,,,,,''...... ....................................................................................................................
;,,,,,,''''......... ..................................................................................''''''codooollllllccccc::;;;;;;;;;;;;;;;::::ccccc::::::::::::::;;;;;;;;;;;;;;;;,,,,,,,,,'''...... .....................................................................................................................
;;;;;,,,,'''...........................................................................................''''''';ldoooooolllllccc::::;;;;;;;;;;;;;::::::ccc:::::::::::::::;;;;;;;;;;;;;;;;;;,,,,,,,,,''....... ........................................................................................................................
;;;;;;,,,,'''.......................................................................................'''''''',,coooooooollllccc:::;;;;;;;;;;;;;;;:::::::cc:::::::::::::::::;;;;;;;;;;;;;;;;;,,,,,,,,,'''....... ..''''...................................................................................................................
::;;;;;,,,,''......................................................................................'''''',,,,;ooooooooolllccc:::;;;;;;;;;;;;;;;;;::::::cc::::::::::::::::::;;;;;;;;;;;;;;;;;;;,,,,,,,'''......... ..',,'''................................................................................................................
::;;;;;,,,,'''..............................................................................'''''''''''',,,,,cooooooolllllccc:::;;;;;;;;;;;;;;;;;;:::::c::::::::::::::::::;;;;;;;;;;;;;;;;;;;;;,,,,,,,''''......... ..,,,,'''..............................................................................................................
:::;;;;,,,,'''.....................................................................''''''''''''''''''',,,,,;;looooooolllllccc:::;;;;;;;;;;;;;;::;::::::c::::::::::::::::::;;;;;;;;;;;;;;;;;;;;;;;;;,,,,,'''........... ..,;;,,,''............................................................................................................
::;;;;;,,,,'''............................................''''''''''''''''.''''''''''''''''''',,,,,,,,,,,;;;:oooooooolllllcc::;;;;;;;;;;:::;;;;::::::::::::::::::::::::::::;;;;;;;;;;;;;;;;;;;;;;;;;;,,,,,''............ .,;;;,,''...........................................................................................................
::;;;;;,,,''''.......................................'''''''''''''''''''''''''''''''''''',,,,,,,,,,,,,,;;;;;coooooooollllccc:;;;;;;;;::::::::::::::::::::::::::::::::::::::::::;;;;;;;;;;;;;;;;;;;;;;,,,,,,'''.............. .,:;;,,''..........................................................................................................
::;;;;,,,''''....................................''''''''''''''''''''''''''''''''',,,,,,,,,,,,,,,,,,,;;;;;;;looooooolllllcc::;;;;;;::::::::::::::::::::::::::::::::::::::::::::::::;;;;;;;;;;;;;;;;;,,,,,,,,,,''................ .;::;;,,'.........................................................................................................
;;;,,,,'''''....................................''''''''''''',,,,'',,'','''''''',,,,,,,,,,,,,;;;;;;;;;;;;;;:looooooolllccc:;;;;;;;:::::::::::::::::::::::::::;:::::::::::::::::::::;;;;;;;;;;;;;;;;;;;,,,,,,,,,''''.................... .:c:;;,,''........................................................................................................
,,,,'''''.....................................''''''''',,,,,,,,,,,,,,,,,,,,,,,',,,,,,,,,,,,;;;;;;;;;;;;;;;;:ooooooolccc:::;;;;;;;;:::::::::::::::::::::::::::;;::::::::::::::::::::::;;;;;;;;;;;;;;;;;;,,,,,,,,,,,'''.......................,;;,.....':cc::;,,''.......................................................................................................'
''...........................................''''''',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,;;;;;;;;;;;;;;;;;cooooolllcc::;;;;;;;;;;;;;;:::::::;;;;;;;:::::::::;:::::::::::::::::::::::::;;;;;;;;;;;;;;;;;;,,,,,,,,,,,''......................:oooolllllccc::;,,''.......................................................................................................'
.............................................'''''''',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,;;;;;;;;;;;;;;;;:loooolllcc::::;;;;;;;;;;;::::::::::::;;;;;;;;;;;;;;;:::::::::::::::;;::::;;;;;;;;;;;;;;;;;;;;;,,,,,,,,,,,,,''....................:loooooollccc::;,,''....................'............................''''''''''''''''''''''''''...........................''
..................... .......................'''''''',,,,''',,,,,,,,,,''''',,,''',,,,,,,,,,;;;;;;;;;;;;;;;:loooolccccccc:::;;;;;;;;;:::::::::::::::;;;;;;;;::::::::::::::::::::::::::::;;;;;;;;;;;;;;;;;;;;,,,,,,,,,,,,'''.................':looooolllccc::;,,''..............'''''''''''''..............'''''''''''''''''''''''''''''''''''.........................'''
........... ...... ......................'''''''''',,'''''',''''''''''''''''''''',,,,,,,;;;;;;;;;;;;;;;clodoc:ollcccc::,'..........',;;:::::::;;;;;;:::::::::::::::::cccc:c:::::;;,,'''',,,,,;;;;;;;;;;;;;,,,,,,,,,,''''................';lllllllllcc::;;,,''............'''''''''''''''''''''''''.'''''''''''''''''''''''''''''''''''''''........................'''
....... . .....................''''''''''''''''''''''''''''''''''''''''',,,,,,;;;;;;;;;;;;;;:loodo::olcccc:'..................';;::;;;;;;;;;;::::::::::::::cccc:c:,'... ........ ....',;;;;;;;;,,,,,,,,,,''''........'.......,cllllllccc::;;,,'''...........''''''''''''''''''''''''''''''''''''''',,,,,,,,,,,,,,,,,,,''''''''''......................'''
... .. ....................'''''''''''''''''''''''''''''''''''''''''',,,,,,,,,,;;;;;;;;;cooool;:olcc:'...,;;;:;;;;;;;;,... .';:;;;;;;;;;;:::::::::::::cccc:,.. ...,;;;;;;;;;,,'.... ..',;;;;;;,,,,,,,,,,'''''''...''.......,cccccccc:::;;,,'''.........''''''''''','''''''''''''''''''''''''',,',,,,,,,,,,,,,,,,,,,,,''''''''''.....................'''
.. ......................''''''''''''''....'.....'''.''.....''''',,,,,,,,,,,,;;;;;;:loooo:,colc,...;:::::::;;;;;::::;,. .';::;;;;;;;;:::::::::cccccc:,....;:cccc:::::::::::::;,,....';;;;;,,,,,,,,,,''''''''''''''....'':cccc:::::;;,,'''.........''''''''''',,,'''''''''''''''''''''''',,,,,,,,,,,,,,,,,,,,,,,,,,''''''''''....................'''
. ......................''''''''''''............................'''''',,,,,,,,;;;;:loool;;loc..,:cc:::::::;;;;::::::::'...;:::::::::::::::::cccccc;..';cccccccc::::::::::::::::::;'..,;;;,,,'',,,,,'''''''''''''''''''';::::::;;;,,,''..........''''''''''''''''''''''''''''''''''''''',,,,,,,,,,,,,,,,''''''''','''''''''''''''''............''''
. ...................'''''''''''...............................''''''''',,,,,,;;;:loooc,:oo'.:cccc::::::::::::::::::::'..':::::::::::::::::cccc:,..,ccccccccccc:::::::::::::::::::,..';,,,''..,,,,'''''''''''''''''''',;;;;;;;,,,''...........'''''''''''''''''''''''''''..'''''''''''',,,,,,,,,,',''''''''''''''''''''''''''''''''''......''''''
. ................'''''''''''.................................'''''''',,,,,;;;;:oool;,cd:':cccc::::::::::::;;:::::::,..'::::::::::::::::cccc:'..':ccccccccccc::::::::::::::::::::,..',,,''...,,,,''''''''''''''''''',,,,,,,,''''............'''''''''''''''''...............'''''''''''',',,,''''''''''''''''''''''''''''''''''''''''''''''''''
. ...............'''''''''''...................................'''''',,,,,,;;;coool,,lo::ccc:::::::;;::::;;;::::::c;...:::::::::::::::::::c,..':cccccccccccc::::::::::::::::::;;;...,,,''....,,,,''''''''''''''''',,,,'''''................'''''''''''''.......................''''''''''''''''''''''..'''''''''''',,'',,'''''''''''''''''''''
. ................'''''''''''....................................''''',,,,,,;;;coooc':olccc::::::::;;;::;;;;;:::::::;...;c:::::::::::::::::;...:ccccccccccccc::::::::::::::;;;;;;,'..',,'''...',,,,'''''''''''''''',,,,'....................'''''''''''''.........................''''''''''''''''''......''''''''',,,,,,,,'''''''''''....'''''
.... ............'''''''''''''....................................''''',,,,,,;;cooo:,lolcc:::;;;;;;,,;;;;;;;;;;;;;;:,. .;c:::::cc::::::::::'..,ccccccccccccccccccccc::::::;;;;;;,,,..',,''''...',,,'''''''''''''''',,,,'....................'''''''''''''..........................'''''''''''''''''.......'''''''',,,,,,,,'''''''''''.....''''
....... .............'''''''''''''...................................''''',,,,,,;;cooo::olc:;;;;;;;;;,..;;;;;;;;;;;;;;;'. .,:::::ccc:::::::::,. .,:cccccccc::ccccc:;ccc::::::;;;;;;,,,'..,,,''''...',,,''''''''''''''',,,,'....................'''''''''''''...........................''''''''''''''''........''''''',,,,,,,,''''''''''.......'''
............. ..............''''',,''''''.....................................''',,,,,,,;coll:co:;;,,,,,,,,,'..';;;;;;;;;;;;;;. .':::::::::::::::::'. .;::::ccccc:::::cc,.;ccc:::::;;;;;,,,,'..,,,''''...',,,''''''''''',,,,,,,,'....................''''''''''''''..........................'''''''''''''''.........''''''',,,,,,'''''''''...........''
................ ................'''''',,,'''''......................................''',,,,,,;collcll:;;,,,,,,,,,'. .,,,;;;;;;;;;;;'...,::;;;::::::::;;;;'...;:::::::::::::::c,..;cc:::::;;;;;,,,,,,',,,,''''...',,,''''''''',,,,,,,,,'.....................''''''''''''''.........................'''''''''''''''.........'''''''''',''''''''''............''
................. .. .............''''',,,,,,'''''...................................'''',,,,,,;looloc:;,,,''''''''. ..',,,,,,,;;;;;;,,;;;;;;;;:::::;;;;;;,..;:::::::::::::::::,. .;::::::;;;;;,,,,,,,,,,,,,''''..,,,''''''''',,,,,,,,,,''''.................'''''''''''''''''.......................'''''''''''''...........''''''''''''''''''''............''
................. . ..........'''',,,,,,,,,,,,,,,'''.......................'''''',,,,,;;;;;:llllc;;;,,'''... ....'',,,;;;;;;;;;;;;;;;;;;;;;;;;;;;:::::::::::::::::' .;;;;;;;;;;;,,,,,,,,,,,,,,'''...,,,,'''''',,,,,,,,,,,,,,,'''...............''''''''''''''''''.....................''''''''''''''..........''''''''''''''''''..............''
................. .............''',,,,,,,,;;;;;;;;;,,,,''''...''''''''''''',,,,;;;;;;;;;;;;;:lllc:;;,,'''.. ...,,;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;,. .',,,,,,,,,,;,,,,,,,,,,,,,,'''..',,,''''''',,,,,,,,;;;;;;,,,''..............''''''''''''''''''.....................''''''''''''...........''''''''''''''''''''............''
.................. . ..............''',,,;;;;;;:::::::;;;;;;,,,,,,,,,,,,,,,,,,,;;;:::::::::::::clloo:;;;,,'''.. ....'''',,,;;;;;;;;;;;;;;;;;;;;;;,,,'''.... ......'',,,,,,,,,,,,,,,,,''...',,,'''''',,,,,,,,;::::;;;,,''.................''''''''''''''.....................''''''''''.............'''''''',''',''''''''...........''
.................... . ..............'',,,,;;::::cccccccc::::::;;;;;;;;;;;;;;::::::cccccccccccccloocll:;;;,,,'''.. ..',,;;;;;;;;;;;;;;,,,,'...... .... ..,,,,;;;;;;;;;,,,''....',,'''''',,,,,,,,:cccc::;;;,,'.................'''''''''''''''..................'''''''''''..............'''''''',,,,'''''''''''.......'''
.........................................''',,,;;:::cccccllcccccccc:::::;;;:::::::cccccclllllllllllllooc:c:;;;;;,,,,,,'.. ..',;;;;;;;;;;;;,'... ..',;:cccc::;,,,,''....',''''''',,,,,,;clllccc::;;,''..................''''''''''''''.................'''''''''''.............''''''''',,,,,,'''''''''.....'''''
.........................................''',,;;;:cccllllllllllllcccccc:::::::ccccclllloooooooooooololcccc::;;;;,,,,,,,,''.. ...,,,,;;;;;;;;;;,'.. .,,;:ccccc:;,,,,,'''...,'''''',,,,,,,;lolllccc::;;,''....................''''''''''''...............''''''''''''.............'''''''',,,,,,,'''''''''.......'''
.........................................'',,,;;::cllllllloollllllllcccccccccccclllllooooddddddddoooolccc::::;,,,,;;;;;,,,,,'... ...........',,,,,,;::::::;;;,,''''.. ...,;:::cccllcc;,,,,,,,,,''','''',,,,,,,,:looolllc::;;,''.....................'''''''''''...............''''''''''''.............''''''''',','''''''''''.........''
.........................................'',,,;;:ccllloooooooooooollllccccccccllllooooodddddddddddddoolcc:::::;,,,,,,;;;,;;;;;;' .',,,,,,,,;;;;;,,,,,;::::::;;;,,'''''''....... ......,,;;;::cclllcc:;,,,,;;;;;,,,',''',,,,,,,,:oooolllcc:;;,''.......................'''''''''...............''''''''''''.............''''''''''''''''''''............''
.........................................'',,;;::clllooooooooooooooolllcccccclllloooodddddxxxxxxdddddoolcc::cc::;;,,,,,,,,,,,,,. ..''',,,,;;;;;;;,,,,;;::::::;;;;,,'''''''''',,,'''.. .',,,,,;;;;;;;:cccccc:;,,,;;;;;;,,,'''',,,,,,,,,;coooolllcc::;,''........................'''''''''..............'''''''''''..............''''''''''''''''''..............''
.........................................'',,;;::cllooooodddoooooooollllccccclllooooodddddxxxxxxxddddooolccccccc::;;,,,,,,,,,,'. .',,,,,;;;;;;;;;;,,;;;;::::::::;;;;,,,,,,,,,,,''''',,,. .',,,,,,,,,;;;::ccccc:;;,,;;;;;;,,,'''',,,,,,,,,,:loooolllcc:;;,''.........................'''''''''.............'''''''''''..............''''''''''''''''................''
.........................................'',,;;::cllooooddodddoooooolllccccccllloooooddddddxxxxxdddddoooollcccccccc::;;;;;;;;;...;;;;;;:::;;;;;;;,;;;;;:::::::::;;;;,,,,,,,,;;;;;,,,''''. .',,,,,,,,,,;;:::::;;;,,,;;;;;;,,''',,,,,,,,,,,,;cooolllccc::;;,'..........................'''''''''..............'''''''''...............'.'''''''''''''.................''
.........................................'',,;;::clloooododdddoooooolllccccccclllooooddddddxxxxxxddddoooloolccccccccccc::::::,..:::::::::::::;;;;;;;;;;:::::::;;;;;;;;,,,,,;;;;;;;;;;;,,,. .,,,,,,,,,;;;;;;;;;;,,,,;;;;;;,,'..',,,,,,,,,,,,:llllllccc::;;,''..........................'''''''''..............''''''..................'.'''''''''''''.................''
.........................................'',,;;::cllooooodoooooooooolllccccccclllloooodddddddxxxxddddooolloocccccccccccccc:c:,.;::::::::;;;;;;;;;;;;;;::::::::;;;;;;;;,,,,;;;;;;;;;;;;;;;,..,;;;;;;;;;;;;;;;;;,,,,;;;;;,,,,'...',,,,,,,,,,,;cllllcccc::;;,,'...........................'''''''''..............'.''''.'...............''''''''''''''''.................''
.........................................'',,;;:ccllooooooooooooooolllcccccccccllllooooddddddddddddddoollllllccccccccccccccc:,;cc:::::;;;;;;;;;,;;;;;::::::::;;;;;;;;,,,,,;;;;;;;;;;;;;;;;,',;::;;;;;;;;;;;;,,,,,,,;,,,,,,,'..',,,,,,,,,,,;:ccccccc::;;;,,'............................''''''''''................'''.................''''''''''''''''''''............'''
.........................................'',,;;:ccllooooooooooooooolllcccc:ccccclllloooodddddddddddoooolllcllccccc::::ccccccccccc:::::::::;;;;,,,;;;;::::::::;;;;;;;,,,,,,,,;;;;;;;;;;;;;;;,;;;;;;;;;;;;;;;,,,,,,,,,,,,,,,'..',,,,,,,,,,,;;::::::::;;;,,,'.............................'''''''''''...................................'''''''''''''''''''''''''......'.'.
........................... ............'',,;;:cclloooooooooooooolllcccc::::ccccllllooooddddddddddooolllcccllc:cc:::ccccccccccccc:::::;;;;;;;,,,;;;;::::::::;;;;;;,,,,,,,,,;;;;;;;;;;;;;;;;;;;;;;;;;;;;,,,,,,,,,,,,,,,,,,'..',,,,,,,,,,,;;;;;;;;;;;,,'''..............................'''''''''''..................................''''''''''''''''''''''''''''........
.......................... ............',,;;::cllloooooooooooollllcc:::::::cccclllloooooddddddoooolllccccclc::cc:ccccccclcccccccc:;;:::::;;;;;;;;;::::::::;;;;;;,,,,,,,,,,,,;;;;;;;;;;;;;;;;;;,,;;;,;;,,,,,,,,,,,,,',,,'..,,,,,,,,,,,,,;;;,,,,,,,'''..............................'''''''''''''..................................''''''''''''''''''''''''''''........
...................... ..........'',,;;:ccllloooooooooooollllcc:::::::::cccccllloooooooooooollllcccc:ccc::ccccccccccccccccc:;,:cccc::;;;;;;;;::::::::;;;;;;;,,,,,,,,,'',,;;;;;;;;;;;;;;;;;,;;,,,,,,,,,,,'''''',,,,'.',,,,,,,,,,,'''''''''''..................................'''''''''''''.................................''''''''''''''''''''''''''''.........
..................... ..........',,;;:ccllloooooooooooollllcc:::;;:::::cccccllloooooooooolllllcccc::ccc:::ccccccccccccc:;,'':ccccc::;;;;;;::::::::;;;;;;;;;,,;;;;;,,''',,;;;;;;;;;;;;;;;;;;,,,,,,,,,'''''''',,,,'.',,,,,,,,,'.............................................''''''''''''''.................................'''''''''''''''''''''''''''..........
........ ..........',,;;:ccllloooooooooooolllcc::::;;;:::::cccclllllooooooolllllcccc::::cc:::ccccccccccc:;,'''',::::ccc:::;;;:::::::::;;;;;;;;;;;;;;;,,'...',;;;;;;;;;;;;;;;;,,,,,,,,,''''''',,,,,,.',,,,,,,,,,'.........................................'''''''''''''''''''................................''''''''''''''''''''''...............
..........',,;;::clllooooooooooollllcc:::;;;;::::::cccccllllllllolllllcccc::::::c:::::ccccc:::;'.......,,;;:cccc:::::::::::::;;;;;;;;;;;;;;,,''''''',,,,,;;;;;;;;,,,,,,,''',,'''',,,,,,,,'.',,,,,,,,,'................................'''''''''''''''''''''''''''..................................'''''''''''''''''....................
..........',,,;;:ccllooooooooooolllccc:::;;;;::::::::ccccclllllllllllcccc:::::;:c::::::::::;,'.. .....,:c:::::::::::::;;;;;;;;;,,,,,,,',,,,,,,,,',,,;;;,,,,,,,,,'''',''',,,,,,,,,,,',,,,,,;,,'................................''''''''''''''''''''''''''''......................................''''.'''.........................
.........',,,;;:ccllooooooooooollllcc::;;;;;;;;::::::cccccllllllllccccc:::::;;:c:::::::::;,'.. ..;::ccccc::::::;;;;;;;,,'''''............''''',,,,,,,,,,,'''',,',,,,,,,,,,,,,,,,,,,,,''..'...'''''.....................''''''''''''''''''''''''''.........................................................................
........',,,;;:cclloooooooooollllccc::;;;;;;;;::::::cccccclllllllcccc::::::;;:c:::::::c:;'... .,cccccccc::::;;;;;,'..... ..',,,,,,,,,,,''''',,,,,,,,,,,,,,,,,,,,,'',,,,,,,,,,,,''''.................''''''''''''''''''''''............................................................................
.........',,,;;:cclloooooooooolllccc:::;;;;;;;;;:::::cccccccccllccccc:::::::;;:c:::::ccc:;,''. .ccllllccc:::;;;,,. .,,,,,,,,,,,,'',,,,,,,,,,,,,,,,,,,,,,,,,;;;;;;;;;;;,,,,''................''''''''''''''''.................................................................................
..........',,,;;:ccllllooooooolllllcc::;;;;;;;;;;::::::ccccccccllccccc:::::::;;::c::::cc::;;:;' .;clllllccc::;;,.. .',,;,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,;;;;;;;::::::::;;;;,,'''..................''..''''.....................................................................................
...........',,,;;::clllloooooolllllccc::;;;;;;;;;;:::::::cccccccccccccc::::::;;;;:ccccc::::::::' .:llllllcc::;,. ',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,;;;:::::::ccccc:::::;;;,,''..............................................................................................................
.............'',,;;::clllooooooolllllccc::;;;,,,;;;;;::::::cccccccccccccc:::::::;;;:cccccc:::cccc, ... .,llllllcc:;,. .,;;,,,,,,,,,,,,,,,,,,,,,,,,,,,;;:::ccccccclllccccc:::;;,,''........................................................................................................'''''
...............'',,;;::clllooooooollllcccc::;;;,,,;;;;;:::::::ccccclccccccc:::::::;;;:ccccccc::cccc;. .........:lc,.,::;,. .,,;;,,,,,,,,,,;,,,,,,,,,,,,,,;;::cccclllllllllllcccc::;;,''...................................................................................................'''''',,,,
..................'',,;;::clllllooooollllccc::;;;,,,,,;;;;;::::::ccccccccccccc:::::::;;;:ccccccc::cccc;. ..........:;. .,;,.. .',;;,,,,,,,,;;;;,,,,,,,,,,,,;;::cccllllllloooollllccc::;;,'.....................................................................................''''''''''''''',,,,,,,,;
. .........................'',,;;::clllllooollllllccc::;;,,,,,,;;;;;;;::::ccccccccccccc:::::::;;;:cccccccc::cccc' ...........,;;;;... .. .',,,,,,,,,,;;;;;,,,,,,;;;;;;;;::cclllloooooooooolllcc::;;,''................................................................................'''',,,,,,,,,,,,,,,,;;;;;;;;
............................'',,;;::ccllllooollllllccc::;;,,,,,,,;;;;;;::::cccccccccccc:::::::;;;;:ccccccccc:cccc:. ..............'....... .. .. .,,,,,,,,,,;;;;;;,,,,,;;;;;;;;;::cllllooooooooooollllcc::;,,'...........................................................''''''''''''''''''''''',,,,,,;,,,,,,,;;;;;;;;::::
....... . .............................'',,;;::ccllllooollllllcc:::;;,,,,,,,;;;;;;:::::ccccccccccc:::::::;;;;:ccccccccccccc::' ..............'.. ..... .. ........ ..,,,,,,,,,,,;;;;;;,,,,;;;;;;;;;;::cllllooooooooooollllcc::;,,'.......................................................'''''',,,,,,,,,,,,'''','',,,,;;;;;;;;;;;;;;;:::::::::
..........................................'',,;;::ccllllllllllllccc:::;;,,,,,,,,;;;;;::::::cccccccc:::::::::;;;;:cc:ccccccc:::c:,. .....'....','. ..''.. ..... ........ ..,,,,,,,,,,,;;;;;;,,;;;;;;;;;;;;;;:cclllloooooooooolllcc::;;,,'.....................................................'''',,,,,,;;;;;;;;,,,,,,,,,,,;;;;;;;;;;;;::::::::::::::
''''''....................................'',,;;::ccllllllllllllccc::;;;,,,,,,,,;;;;;;::::::cccccc::::::::::;;;;:cc::cccccc:ccc:;.. ........'''.....'.. ..... .... .',,;;,,,,,,,,;;;;,,;;;;,;;;;;;;;;;;;,:cllllooooooooolllcc:;;;,''.................................................''''',,,,,;;;;;;;;;;;;;;;;;;;;;;;;;;::::::::::::::::::ccc::
;;;;;,,,'''...............................'',,,;;:cclllllllllllcccc::;;;,,,,,,,,;;;;;;;:::::cccccc::::::::::;;;;;clcccccccc:::c:;'.. ................... ..... .. ':::;;;,,,,,,,;;;,,,;;;;;;;;;;;;;;;;,...,:cllooooooolllllcc::;;,'.......................................''''''''''''',,,,;;;;;:::::::::::;;;;;;;;;;;:::::::::::::::::::::::::
cccc::;;,,,''.............................'',,,;::cclllllllllllccc:::;;;,,,,,,,,,;;;;;;::::::::cc:::::::::::;;;;;:cccccccccc::c::,... ............. ... .'::cc:;;,,,,,,;;;;;;;;;;;;;;;;;;;;;;;'. ..;ccllccccccccccccccc:::;;,,,,'''.........................'''',,,,,,,,'',,,,;;;;;;::::::cc:::::::::::::::::::::::::::::::::::::::::
ooollcc:;;,,''............................'',,,;::cclllllllllllccc:::;;,,,',,,,,,,;;;;;;:::::::::::::::::::;;;;;;;cccccccccc:::::;'.. .. .... .,::cc:;;,,,,;;;:::::;;;;;;;;;;;;;;;;;;. .';;;;;;,,,,;;;;;;:::::::::::::::::;,''.................'',,,,;;,,,,,,,,,,;;;;;:::::ccccccccc:::::::::::::::::::::::::::::::::::::
xxxdoolc::;;,'''..........................'',,,;::cclllllllllllccc:::;;,,,',,,,,,,,,;;;;;::::::::::::::::::;;;;;;;:ccccccccc::::::;,'. ... . .':cccc:;,,,,;;;:ccc::::;;;;;;;;;;;;;;;'. .';;;;;;;;,,,,,,,,;;;;;::::::::ccccc:::;,'''''''''''''''',,,;;;;;;;;;,;;;;;;;;::::::ccccccccc:::::::::::::::::::::::::::::::::::::
Okkkxddolcc;;,''..........................''',,;::cccllllllllllccc:::;;,,,'',,,,,,,,;;;;;:::::::::::::::::;;;;;;;;;:ccccccccc:::::;;;,.. .. .'cllcc:;,,,;;;;:cccc::::;;;;;;;;;;;;;;,. .',,;;;;;;;;;;;;;;;;;;;;;;;;;::::::ccc::::;;,,,,,,''''',,,;;;;;:::;;;;;;;;:::::::::cccccccccc:::::::::::::::::::::::::::::::::::::
OOOOkkxdoolc;,,'..........................''',,;:::cclllllllllcccc::;;;,,'''',,,,,,,,;;;;;::::::::;;::::;;;;;;;;;;;:::cccccccc::::;;;;,'.. ....;clllc:;,,;;;;:cccccc:::;;;;;;;;;;;;;;;. ....'''''''''''',,,,;;;;:::::;;;;;:::::::ccc::::;;;,,,,,,;;;;;:::::::::::::::::::::ccccccccc:::::::::::::::::::ccccccccc::::::ccc::
00OOOkkxddol:;,''.........................''',,;;:cccllllllllllccc::;;,,,''''',,,,,,,;;;;;;;;;::::::::;;;;;;:;:::::::::::cccccccc::;;;;;;,.. ..',:cccccc:;;,;;;:cclcccc:::;;;;;;;;;;;;;;;' .,'.'''.....'''''''',,;:cccccc:::;;;;;;::::cccccccc:;;;;;;;;:::::::::::::::::::::::ccccccc:::::::::::::::::::ccccccccccccccccccccc:
0000OOkkxdolc;,'..........................'',,,;::cccllllllllllcccc::;;,''''''',,,,,,,;;;;;;;;;;;;;:;::::::cc:::::::;;;::ccccccccc::;;;;;;;,... ..',;:::::cc::;;,;;:cccccc:::;;;;;;;;;;;;;;;;;'. ..',;;;,,,,'.....'''''',:ccccccccc::;;;;;;;;;::::cccccc:::;;;:::::::::::::::::::::::ccccccc:::::::::::::::::::cccccccccccccccccccccc:
K0000OOkkxdoc;''...........................',,,;::cccllllllllllcccc:::;,,''''''',,,,,,;;;;;;;;;;;:::cccc:::;;;;;;;;;;;;;;:ccccccccc::::;;;;::,.................. .....',;::::::::::::;;;;:cccc:::;;;;;;;;;;;;;;;;;;;,. ..''',;;;;;;;;,''...'''',::::::cccccc:;;;;;;;;;;;;;;;;;;;;;;;;;:::::::::::::::::::::cccccc::::::;;::::::::::ccccccccccccccccccccccccc:
KK000OOkkxxoc;'...........................''',,;;::ccllllllllllccc::::;;,''''''',,,,,,;;;;;;;;;:cclllc:;;;;;;;;;;;;;;;;;;:c:ccccccc:::::::::::;,'''','''''',,,'''''',,,,;;,;;;::::::::::::::::c:::;;;;,,;;;;;;;;;;;;;;;;'. .',,'.'',,;;::::;;,'''.'',::c::::cccccc::;;,;;;;;;;;;;;;;;;;;;;,,;;:::::::::::::::::ccccc::::::::;;;;;;;::::::cccccccccccccccccccccccc:
KK000OOkkxdoc;'...........................''',,;;::ccllllllllllccc::::;;,,'''''',,,,,,;;;;;;:ccclllc:;;;;;;,,,;;;;;;;;;,,,:c:cccccccc::::::::::;;,,;;;;;;,,,,,,,,,,,,;;;;;;:::::::c::::::::::::;;;;;;;;;;;;;;;;;;;;;;;'. ..',''..'',:cccc:::;;;,,,',;:::::::cccccc:;;,,,;;;;;;;;;;;;;;;,'......'',,;;::::::::cccccc:::::;;;;;;;;;;;;::::ccccccccccccccccccccccc::
KK000OOkxxdl:,............................''',,;;::ccllllllllllcccc::;;;,,'''''',,,,,;;;;:cllcllc::;;;;;;;;,,,,;;;;;;;,,'..;::::ccccccc:::::::::::::::::::::::;;;;;;;:::::cccccc::::::::::::;;;;;;;;;;;;;;;;;;;;;;;;'. ..'''''..',;:ccccc:::;;;;;;;,,;:::::cccccc:;;,,,,,,;;;;;;;,,''.. ...',;::ccccccc:::::;;;;;;;;;;;;:::::cccccccccccccccccccccc::
KKK00OOkxdoc;'............................''',,;;::ccllllllllllcccc::;;;,,,'''',,,,,;;:clllcclll:;;;;;;;;;;;;;,;;;;,,,,,'. .,:::ccccccccc::::ccccc:::::::::::::::::ccccccccc:::::::::::::;;;;;;;;;,,,,,,,,,;;;;;;,.. ..',,,,''...'';::cccccc:::;;;;;;;;::cccccccc::;,,,,,,,,,,,,,... ...',;::cc::::::;;;;;;;;;;;::::::cccccccccccccccccc::c::
KK000Okxdol;'.............................''',,;;::cclllllllllllccc:::;;;,,'''',,,,;:cllllllllc::;;;;;;;;;;;,,;;;;;,,,,,'. ..,:ccccccccccccccccccccccccccccccccccccccccccc:::::c::::::;;;;;;;;;,,,',,,,,;;;;;,'. .',,,,,,,,'...',;:ccccccc:::::;;:::::ccccccc::;;,,,,,,,,,,'.. ..,;::::::;;;;;;;;;;;;::::ccccc:::::::::::::::::::
KK000Okxol:'..............................''',,;;::ccclllllllllcccc:::;;,,,',,,,,;:cloooooollcc::;;;;;;;;;,,,,;;,,,,''''.. .';:::ccccccccccccccccccccccccccccccccccccccccccccc::::;;;;;;;;;,,,''',,,;;;;,'.. ..',,,,,,,,;;,'',;;::ccccccc::::::::::::::::::;;;,,,,,,,,,'.. ...,::::;;;;;;;;;;:::::::::::::::::::::::::::::
KK00OOkdl:,...............................''',,;;;::cccllllllllcccc:::;;,,,,,,,,;cloooooooollcc:;;;;;;;;;,,,,,,,,,'''''''. .,:c::ccccccllcccccccllllcccccccclllcccccccc::::::;;;;;;;;;;,'''',,,,,,,... ..',;;;;;;,,;::;,,,;;:::ccccccc:::::::::::::::;;;,,,,,,,,'.. .,:::;;;;;;;;::::::::::::::::::::::::::::::
K00OOkxol:,...............................''',,;;:::cccclcccccccccc::;;;,,,,,,,:oodoooooollllc::;;;;;;;;,,,,,,,,,,,,,,,,,,. ..,;::cccclllccccccccccccccccccllllccccc:::::::;;;;;;;;;;,'''',,,;,'.. ...',;:::::;;,;;;;;;;;;::cccccccc:::::::::::::;;;;,,,,,,'... .;::::::::;:::::::::::::::::::::::::::::::::
00OOkkxdlc;'..............................''',,,;;::ccccccccccccc::::;;;,,,,,,;odddoooollllllcc:;;;;;;;;,,,,,,,,,,,,,,,,,,'.. ..,:cccllllllcccclllllllllllllllcccc:::;;;;;;;;;;;;;,,,,,,,,,'.. ...'''';:::::::::;;;,,,,;;;::cccccc:::::::::::::;;;;,,,,'... .;::::cc:::::::::::::::::::::::::::::::::::::
K000OOkxdoc,'.............................''',,,;;::ccccccccccccc::::;;;,,,,,,cddooooolllllllcc:;;;;;;;,,,,,,,,,,,,,,,,,,,,''.. ..,:cccllcccllllllllllllllcccc:::;;;;;;;;;;;;;;,,,,,,,'.. ....'',,,'';;::::::ccc::::;,,,,,;:cccccc:::::::::;;;;;;,,'... .':::::::ccc::::::::::::::::::::::;;::::::::::;
KKK000OOkxdl;'............................''',,,;;::ccccclccccccc::::;;;,,,,,,cooooooolllllllc::;;;;;;;;,,,,,,,,,,,,,,,,,,'''''.. .';:cccccccccccccclllcccc:;;;,,,,;;;;;;;;,,,'''''.. .';;;;,,,;;,,;::;::::::::::::;,,,',;:cccccc::::;;;;;;,'... .,cc:::::::ccc::::::::::::::::::::;;;;;;;::::;;;
XKKKK000Okkxoc;,'.........................''',,,;;::ccccccccccccc::::;;,,,,,,,,loooooollllllc:::;;;;;;;;,,,,,,,,,,,,,,,,,,;,,,,''.. ...'''''',;;;:::ccc:::;;;,,,,;;;;;;,,,,,,,''.. ....,;::::;;,,;;;,;::::::::::::::;,,,,,;:cccccc::::;;,'.. .;ccc:::::::::::::::::::::::::::::;;;;;;;;;;;;;;;
XXKKKK00OOOkxdoc:,''.....................'''',,,;;::ccccccccccccc::::;;;;;;,,,,:looooolllllcc:::;;;;;;;;;,,,,,,,,,,,,,,,,,,,,,,,,,'... ...',,;;;;,,;;;;,,,,,,,,,,,,'... ...''''';:::::::;;,;;;;,,;:::::c:::::;;,,,,,;:cccccc:;'.. .:ccccc::::::::::::c::::::::::::;;;;;;;;;;;;;;;;,,
XXKKKK000OOOkxxdoc;,,'''..................'',,,;;;::ccccccccccccc:::ccccllllllcclooooollllcc:;::;;;;;;;;;;;,,,,,,,,',,,,,,,,,;;,,,,,,,,'..... .............',''.. ........',,,',;::::::::;,;;;;;,,:::::::::::;;,,,,;;:cccc;'. .:cccccccc::::::::;;cc::;;;;;;;;;;;,,,,,,,,,,,,,,''
XXXKKKK0000OOkxxdol:;;,,'''...............'',,,;;;::cccccccccccclloooooollccc::::cloolllccc::;;;;;;;;;;;;;;;,,,,,,,',,,;;;;,;;;;,;;,''''''',,''..... .........''''...',;:;,,;::::c::;;;;;;,,,,:::::::::::;;,,,,;;:ccc,. .;ccc:cccccc::;;;::;;:c::;;;;;;;;;,,,,,''''''''''''.
XXXKKKK00000OOkkxdol:::;;,,,'''''.......'''',,,;;:::ccccccclloooooollcc:::;;;;;;;;;:llcc:::;;;;;;;;;;;;;;;;;;;,,,,''',,,;;;;;;;,,;;,,'''',;;;;;;;;;,'''....... ......',,,'''',;;;,,,'..,;:cc:;;;:::ccc::;;,,,,,,,;cc::::::::;;,,;;;::c:'. .:cc:;:cccccc:;;;;:::,:c:;;,,,,,,,,''''''............
XXXKKKKK0000OOkkkxdollcc:;;;;,,,,,,'',,,,,,,,,,;;:::cccllooooollcc::::;;;;;;;;;;;;,,'''''.'',;;;;;;;;;;;;;;;;;;,,,,,'''',,;;;;,,,;;;,,''',;;;;;;;;;;,,,'.',;,,,'...''''',,,''.';::;;,,',;;;;;;,'.';:ccc:::;:::ccc::;;,,,,,,,;::::::::::;;;;;;::::'. .:cc:;;:cccccc:;;;;:::;;c:;,,'''''''..................
XXXKKKKKK000OOOkkxxdoolccc:::;;;;;;;,,,,,,,,,,,;;:::ccooooolcc::::;;;;;;;;;;;;;;;;;;,.... ....',;;;;;;;;;;:::;;;;;,,,,''',;;,,,,;;;;,,'',,;;;;;;;;;,,'.',;;;;;;,,,;;;;;,,,'..';:::::::::;;;,,,.'';ccccc::;:::cccc::;,,,,,,,,;;:::::::;;;;;;;:::,. .,clc;;;clccccc:;;;;:::;;c:;'''........................
XXXKKKKKK0000OOOkkxdooollccccc:::::::;;;;;;;;;;;;::clooocc:::;;;;;;;;;;;;;;;;;;;;;;;,,............,;;;;;;;;;:::::;;;,,,,,,,,,,,,,;;;;,,,'',;;;;;;;;;,,'',;;;;;;;;;;;;;;,,,'''';:::cc::::;;;,,,''',;:ccc:::::::cccc::;;,,'''',,,;::::::;;;;;;::::' .:cc:;;;clcccc::;,;;::;;:c:;'..........................
XXXKKKKKKK000OOOOkxxddooolllllllcccccc:::::;:::;;;,,cool::;::;;;;;;;;;;;;;;;;;;;;;;;;,,'.......... ..',;;;;;;::::::;;;;,,,,,,,,,,,;;;;,,'',;;;;;;;;;,;;;;;;;;;;;;;;;;,,,,,',;:::cccc:::;;;;;;,,,,,;ccc::::::cccccc::;;,,,,',,,,,,;:::::;;;::::;'. .:cc:;;;;cccccc:;;,;;;;,;::::,..........................
XXKKKKKKKK000OOOOkkxxddddoooooooooollllllccc::;;,,'.,lll:;;;;;;::;;;;;;;;;;;;;;;;;,,;;;,,'... ..... ..,;;;;;;:::::::;;;,,,,,,,,,,;;;;;,'',;;;;;;;;;:;;;;;;;;;;,,,,,,,,,,;:::::ccc:::;;;,;;;;,,,,:cccc::::ccccccccc:;;,,,,,,,,,,,;::::;;;::;'. .,cc:;;;;:cccccc:;;;;;;,,;c::::,.........................
XKKKKKKKK0000OOOOkkxxxddddddddddddddddddoool:;,,''...'cl:;;;;;;;;;;;;;;;;;;;;;;;;,,,,,,,,,'.......... ...,;;;::::::::::;;;,,,,,,;;;;;;;;;;::::::::::;;;;;;;;;;,,,;;;;;;:::::ccccc::;;,,,;;;;;;;:ccccc:cccccccccccc:::;;;;,,,,,,,,;::::;;,.. .:lc:;;;;:cccccc:;;,,,,',:c:::::'........................
KKKK0000000OOOOOOkkkxxxxxxxxxxxxxxxxkkxxxxo:;,''......,c::;;;;;;;::;;;;;;;;;;;;;,,,,,,,,,,,'..... .... ..,;;;:::::::::::::::::::::::::::::::::::;;;;;;;;;;;;;;;::::::::cccccc:;;;,,,;;;;;;:ccccccccccccc::::::::::;;;;;;;;;,,,,;;,... .,clc;;;;;:cccccc:;;,,,'';cc::::c:'.......................
0000000000OOOOOOOkkkxxxxxxxkkkkkkkkkkkkkxc,,,'.........;::;;;;;;;;;;;;;;;;;;;;;,,,,,,,,,,,,,'.... . ..',;;::::::::::::::ccc:::::::::::::::::;;;;;;;;;::::cccccccccccc::;;,,,,;;;;;;:cccccccccccc::::::::::::::;;,,;;;;,'... ..;ll:;;;;;:cccllc;;;,,,';:cc:;:::c;.......................
00000000000OOOOOkkkkxxxxxkkkkkOOOOOOOOxo:...,,'........'::;;;;;;;;;;;;;;;;;;;;;,,,,,,,,,,,,,,''.... ...,,;;;:::::::::::::::::ccccccccc:::::::::::cccccccccccccccc:::;,,,,,;;;;::ccccccccccc:::;;:::::::::::;;,,''... .,clc:;;;;;:ccllc:;;;,,',:ccc:;:::cc;......................
00000000000OOOOOkkkkkkxkkkkkOOOOOOOOOkc'....','... .,::;;;;;;;;;;;;;;;;;;;;,,,,,,,,,,,,,,,,'..... ...',;;;;;:::::::::::::cccccccccccccccccccccccccccccccccc::;,,,,,,;;::cccccccccc::::;;;;;::::::::;,'... .:llc;;;;;;:ccllc:;,,,'';cccc:;::::cc;'....................
000000000000OOOOOOkkkkkkkOOOOO000000Oo'............. ..::;;;;;;;;;;;;;;;;;;;;,,,,,,,,,,,,,,,,,'....... ....',,;;;;:::::::::::::ccccccccccccccccccccccccccccc:;,,,,,;;::cccccccccc:::;;;;;;;;;;,,'... .,cll:;;;;;;ccclcc;;,,'',ccccc::::::ccc;....................
KKKKKK0000000OOOOOOOOOOOOOO000000000Ol... ...... .,:;;;;;;;;;;;;;;;;;;;;,,,,,,,,,,,,,,,,,,'.......... ....'',;;;;;;::::::::::ccccccccccccccccccc::cccc::;,;;;::cccccccc::::;;;;,,,'..... .:llc:;;;;,:ccllc:;,,''':ccccc::;::::ccc,...................
KKKKKKKKKKK00000000000000000000KKKK0x:... . ..;;;;;;;;;;;;;;;;;;;;;;,,,,,,,,,,,,,;;;,,,'........... ......'',,;;;;:::::::::::::::::::::::::::::::;;;::cccccc::;;,,'....... .cllc;;;;;;:clllc:;,''';cclllc::;:::::cc:'..................
XXXXXXXKKKKKKK000000000000000KKKKK0d:,.. . .. .;;;;;;;;;;;;;;;;;;;;;;,,,,,,,,,,,,,;;;;,,''........... ...........'''',,,,,,,;;;;;,,,,,,,,,,,,,''........ 'lll:;;;;,;cllllc;,,'',:clllcc::;:::::::c;'.................
XXXXXXXXKXKKKKKK00000000000KKKKK0ko;,'... .,;;;;;;;;;;;;;;;;;;,;;,,,,,,,,,,,,,;;;;;;,,'............. ......... .,llc:;;;,;:llllc:;,,',:clllllc::::::::::c:,'................
XXXXXXXXXXXKKKKK00000000000KKKK0xc;'''... .,:;;;;;;;;;;;;;;;;;,,,,,,,,,,,,,,,,;;;;;;;;,'................. .:lc:;;;;,;cllllc;,,,';cllllllcc::::::::::c:,''''''..........
XXXXXXXXXXXKKKKKK0000000000KKK0x:,'...... .. . .;:::;;;;;;;;;;;;;;;;;;;,,,,,,,,,,,;;;;;;;;;,,'..........'''''...... .clc:;;;,;:clllc:;,,,,:llllllllc::;:::::::cc;''''''''''......
XXXXXXXXXXXKKKKKK0000000000000d:,'...... . ... .,::::;;;;;;;;;;;;;;;;;;;,,,,,,,,,,;;;;;:::;;,,''.......''''''',,,,''..... .,ll:;;,,;:clllc:;;,,,:lllllllllcc::;;::::::c:;'''''''''''....
XXXXXXXXXXKKKKKK000000000000Od:,'....... .':::::;;;;;;;;;;;;;;;;;;;,,,,,,,,;;;;;::::::;;,,'......''''''',,,,,,;;;;,'..... .:lc:;,,,;cclll:;;,,,:lllllllllllc:::::::::::c:,''''''''''....
XXXXXXXXKKKKKKK000000000000kl;;,......... ..;:::::;;;;;;;;;;;;;;;;;;;;,,,,,,;;;;::::::::;;,,'''''''''''',,,,,,,;;;;;;;;,,'....... 'cl:;;,,;cllllc;;;,,;clllllllllllc:::::::::::cc:,'''''''''....
XXXXXXKKKKKKKK00000000000Oo:;,,'.... ...... .,:::::::;;;;;;;;;;;;;;:::;;;;;;,;;;;:::::::::;;,,'''''''',,,,,,,,,,;;;;;::;;;;,''.................... .;lc;;,,;:clllc:;;,,;cllllllllllllcc:;:::::::::cc;'''''''''....
KKKKKKKKKKKKK00000000000kl;;;,,.... ........ . .':::::::::;;;;:::;;;::::::;;;;;;;;;::::::::::::;;,,,,,,,,,,,,,,,,;;;;;;;:::::;;,'''''''',,,,;;;;;;;,,''......... .cc:;,,;:cllllc;;,,,:lllllllllllllcc::::::::::::c:,''''''''....
KKKKKKKKKKKK0000000O0OOkl;,,,,'............. . ..;::::::::::::;:::::::::::::;;;;;;;::::::ccc:c::;;,,,,,,,,,,,,,,,;;;;;;;::::::;;,,''''',,,,,;;;;::::::;;,,,,,,,,'. .,c:;,,;:cllllc:;;,,;llllllllolllllcc::::::::::::::,''''''''....
KKKKKKKKK000OOOOOOOOOkd:,,,,,,'....... ..... . .;::::::::::::::::::::::::::::;;;;;:::::ccccccc::;;;,;;;;;;;,,,;;;;;;;;;;::::::;;,,,,,,,,,,,;;;;;::::c::;;;;;;;;;'. .,;,,,;:cllool:;;,,,clllllllolllcllcc:::::::::::::c:'''''''''...
KKKKKK0000OOOOOOOkkkxo:,,,,',,,....... .. . .. . .,;:::::::::::::::::::::::c::::;;;;::::ccccccccc::;;;;;;;;;;;;;;;;;;;;;;;;::::::;;;,,,,,,;;;;;;;:;:::ccc::;;;;:::,. .;,,,;:clloolc:;;,,;llllllllllllcllcc:::::::::::::::,''''''''...