````````````````````````````````````````````````````````````````````````````````
``'~,,`````````'``'``'`.````````.```````'.'```'``````''```````````.'```',~'`````
```,':~~~-~~--~-~~:.`~~;~~-~,.,,:~~--~~`-~~,~--`--~,~--~~~'.-~~~,'--~-~~,~'`````
```,'~.---,:;:--,:-.`,`~~~~-:',,:-~:-,:'~~'-::-`~,.:::---,`:,~~--',----~,.``````
`````````````.`````````````````````````````````````````````,````````````````````
````````````````````````````````````````````````````````````````````````````````
````````````````````````````````````````````````````````````````````````````````
```'`'````'`'```.''```````.`````.```````````````````'```````''`'`'``````````````
``';`;~~'`~:,,,`-~~,~,```',~~,`~;~,`,~,`~-`~-~,.',~~-~,~~~,~,~`-.~,,-~,~.```````
``'~:~:-'`~-`,-`--:-~~```',:.:.::~-`-.:.:,`~~.~-`-.:.-~-~.:~~~`-.-~:~,-,,```````
````'`'.```'`''`''`'.''''`,~.`.'''.`'.`.''`''`.,`,.'`''.'`'..,`'`'.''`,:'```````
````````````````````````````````````````````````````````````````````````````````
`````````'`````````'.````''````````````````````.`````''`'```',..`````````'``````
``'~~~~``~`~,,~,-.`:-~,~,.-~~~~~:',~~~~~~-~,~..-~~-'-~-,~-'``~`:~,~~,~,`',``````
``.,:~,.`~`~:-:-~-`-~':-~.~-:-~:-`,'~-:-~,.;-,'~~--`~,'~--~``~`~,:-:.-~'',``````
```'```.```'''''```'```'``'``'`'``````''````'```'````'```'````````'``'''````````
````````````````````````````````````````````````````````````````````````````````
```'``````````'`````````````````````````````````````````````````````````````````
``'-,~~-~~-~-~:',.-~~',`````````````````````````````````````````````````````````
```~::--:,:--~-'.-~.:,-'````````````````````````````````````````````````````````
```''',-.-.'``'`..`'`'``````````````````````````````````````````````````````````
````````````````````````````````````````````````````````````````````````````````
```````````` ```````````````````````````````````````````````````````````````````
```````` ``````'.,,..'''..,-:~,..,,,-:;:--;!:'````````'.~:::~.'''...,--~:------,
```````` ``````'.~~,..''.,~-!-~,,,~-*=???+!*!,````````'.-;!*;:-:~-:-;!!:*****;;~
```````` ```` `'.,~,.'''.,~-;:~,,:+%&&%%&=%&%;'````````.~;!!-~,,~,,,~-:::;;;;;;~
```````` ```````',~,.'''.,,~;:~,:+?=%%%$$&$$#&*'```````',:!!:,.'''.,,~~-:::;;;;~
````````````````'.,,.'''.,,~;;~-!+?===&$$%==%$$!```````'.-!!:~.'''..,~~--:::;;;~
````````````````'.,,.''''.~~:;~:!!+??%&%=+!;;+#$.```````.-;!;-,.'''.,~~--:::;;:~
`````````````````'.,.''''.~~:;~::!??=%=++;:::;%#;```````.~:!;:~.'''.,,~--::::::~
`````````````````'.,.''`'.~~-:,;;**+??=?!:-:::*#?```````',:!!:~.''..,,~--:::::;~
`````````````````''...'`'.~~-~-;:++==%%+;!*!;!+&&~``````'.-;!;~.''..,,~~-:::;;;~
``````````````````'...'`'.,~-,;:-++?=%=!;+=*;??&&!```````.~;!;-,.''..,~~--::;;;~
``````````````````''..'`'',~~,;-:!+?=%??%&%;-?$#%+'``````',:!;-,.''..,~~--:::;;~
``````````````````''..'''',~~,:~:!?==%+!*+!-~;+$?=,``````',:!!:~.''..,,~~--:::;~
```````````````````'''''''.~,,:,-*+%==*;;;;-,~;=+=-```````.-!!;-,.''.,,~~--:::;~
```````````````````'''''''.,,,:,-++=?=*;::!::;!%+?!```````.~;!;-,.''..,~--:::;;~
```````````````````'''`'''.,,,-,;**=?%*;:;;:!**#=+!'``````',:!;~~~~,..,~--:::;;~
````````````````````''`'''.,,,-,**+??%+!:***??=@$?;'``````',-;~:!**-..,~--::;;;~
````````````````````''''''...~-:+*+==%+!;;:;**$@#%:```````',--;?==?;..,~---::;;~
`````````````````````''''''..--!+!?%=%=+!:-:!*###%;'```````.~;!???*!..,~~--:::;~
`````````````````````''''''',--;!?%=%%%?????%$##$&!'``````',;-!%??*;..,,~---::;~
``````````````````````'''''',--!??%=&&=++?%@@####$?~``````,;-.+%%=+?:,.,~---::;~
``````````````````````'''`'',-:!+?%&$$=?++%@@#@##$=;```''.:;,,**?+;??;,,~---::;~
``````````````````````'''''',-:*+%$$#$&?++=@@@#$$$%;.,,~.-*-~:+%&%?++!~,~--:::;~
`````````````````````',..''',-!*=$&$$##&?+=#@@#$$$%*!-~.~::-;?%%?=??+*~,~--:::;~
````````````````````',~,..''~!*++++?%$$$&??=$#$#$&%%%=~'~,:*?++==??+++-,~--:::;~
````````````````````'.....',:;-..,~!%%%&&&=?+&$#&&&$&*..,-!!+?=*++?*++-,~--:::;~
````````````````````''''.,,:-,'.,~--!%%&&&%=??%$$#$&%,.,-;;!??+?*!;:*+~~~--:::;~
`````````````````````'`''.,-''.,~----;=&&&$&?*+%$&$$;.,~:;*++-~~~;;!??!~~---:::~
````````````````````````''~~''.,~--::-:?&%&&%?*+==%=.,~-;!*+:~,,,;?!?=&-~~--:::~
`````''```````````````'..~-~''.,~~~:;;--!%&%%&&%%=*,,-:;!*?%+-~,,~*==%?-,~-::::~
````''''````````''...,,,~-;-.'.,,~~-:::--;?#$$###$;.,~:!?===+-~,,~:!??!,,,-::;;~
`````'''`````'..,,,~~~~~~-;;.'.,,~~~:-~!:~:*%%%=?+~.,~-:***+!-,,,::;+?*-,,~-;;;~
`````'`''```..~~~~~~~~~~~-;*,..,~~~~:-~;+;~-:*+*;-.,~-:!!**;?:~~~:;!???-,,,~:;;~
````````````'.,~~~~~~~~~~-;?~,.,~~~~:-~::+!-----:,.,~-;!;!+;?+:~~:;*??+~,,,,-;;~
````````````'.,~~~~~~~~~~-:+!~,,~~-~--~-::+!-----.~~-:;!???!=?*:-;!++??~,,,,~-:~
``````````''''.,~~~~~~~~~-:!?:~~~~-------:;*;---~',--:!*++?+%=+**!!!+=+~~,,,,~~.
```````''''''''.,~~~~~~~~-:;+?:-------~~--:;*;::~.,~-:;!???=&=??*++?=%*~~~,~~~~.
`````''''''''''..,~~~~~~~~-:!??:------~~~--:!*!;..,~:;!*%%??&%%?++?===;~~~~~~~~,
````''''''''''''..,~~~~~~~-:;*??::---~~~~--;!??-.,~~-;!???+*?&%????=%?-~~,,~~~-,
````'''''''''''''..~~~~~~~--:!+=?:-----~--:;!++.,~~-::!?+++*+?%=???==*~,,,,~~~-~
````''''''''''''''.,~~~~~~---;*?=?:-------:;!*~.,~--:;!*!**;!++?=?+++:,,,,,~~-:~
`````'''''''''''''..,~~~~~~--:;*?=?:------:;;~.,~---:;!!!!:::;*!!***!~~~~~~~~-~,
``````'''''''''''''..,~~~~~~--:;*+?*--~~-----..,~~---:;;:----::::--~~~--~~::::-,
```````````````````''......,,,,~~-::~,,...,~.'...,,,,,~~,,,,~,,,..,,,,,,,,~,,,,.