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