::::;'''''''''++'''''';'''''''''';;;;;;''''+';''''''''''''''';;;''+;:,:,::;;;;'''''''''''''++'++'+++';'++''+'''';'''''+'''''+++++''++++++'';;:;;;;;;'+'''++++''''''''''++++++''+'''''''++'''''''';';;;::
;;;;'''''''''''++''''';'+'+'+'';';;;;;;'';;;:::::;;;'''';;;;::;:;';;:::::;''''''''''''+';;'+''''''++'''++'++++++++''''''''+++++++'''''''';;:,,,:;;:;''''++++'''+'+''+'+'++++'+'''+'''++'++'+''+''';:::::
';;;'''''';;;;''''''''''''''+''''''';:::;;::,,:,:::;;;;;::::,:::;;;:::;::''''+''''+''+'';;''+''+''''''''+''++++''++''+'''''++++'+'''''';;::,,,,:;:;;''''+++++++++'++++'''+++++''+''++''''''''''''';,,,::
;;:;;;;:::::::;;;;'''';;';'''''';;;;::,:::::,,::,,,,,,,,,,:,,,,,:;;:;;;;'''''++''+''''''''''''+''''''''++'++++''+++'+''''''+++++'''''''';;;:::;;;;''';;;'''++++++++++'''+'++++'''+'+''''++'''''';:,,,,,,
:,,,,,,,,,,,,,,:::;;;;:;;;;;';;;::,,,,,,,,:,,::,,,,,,,.,,,,,,:,,;'';;;'+''''++'''''''''''+'''''+'''+'+''++''''''++'''''''''++''++'''''''''';'''''+++'';;;;'++++++''++'++'+'+++''++''''';;;;;;:::,,,,,,,,
,,,,,,,....,,,,,,,:::,,,::;::::,,,,,.,,,,,,,,,,,,,.,,..:;;:::::;'+'''+''''+'''''''''''''''+'''+'+''++';''++;;'''''''''++''+++''++'';;;;'++';;;;'''+'++';;;'+++++++++++'+'''++'''++';:::,:::::,,,,,,,,,,,
,,,,,,,...,,....,,,,,,,,,,,,,,,,......,,,:,,,,,,,,,...,;';::;';''''''';;;;;;;;;'';;;;;;'++'''''''''''''''+';''''';::'+'''++''''++;;;::;''';:,,,:'''++++;;;+'+''+++++'''';;;;;:;;;:::,,,,,,:::::::,,,,,,,
,,,,,...........,,,.......,:,,,.........,:,,,,.,,,,..,,:;;:;'''';'';:::::,::::;;:::,,,,;++';;:::::;;''''+'''''';:,,,'+';'+';'''++';;;;;';;:,,,,:''+++++;:;'''';''';;;:,,,,,,,,,;;:,,,,,:;;;;;;;;;;;:::,,
,.,,.............,........,:::...........,,....,,,,,,,,:::::::;;::;::,,,,,::,,,,,:,,..,;';:,,,,,,,:;;;';''''';;;:,.:;::::;;::;'++;;'';;;:;::::::;'+++++;:;;;'';::,,,..........,:;::::,,:;''''';;;;;;:;;;
...........................,,,...........,,....,,,,.,,,,:,,,,,,,,,::,,,,,,,,,,,.,,,,..,,:,,,.....,:::;'''''';:::,,:;,,,,,:,,,:;+':;'';;;;;''''';:;';'';:::;:::,,.........``...,,:::::;::;;;;;';:;;';''''
..............,..........................,.....,,,..,...,.........,,,,,,::,,,,..,,.....,,,,,,,...,,,:;';::::,,,,,,,,,,,:,:,,,::'';;'''''''++''';::::,,,,,,,,,....``........``..,,,,,,:,,,,,,,::::;''++''
..................................`.........,,.,.,..,........,,,,.,,.,,,:;,.,,,.......,,,:::,,,....,,:::,,,,,,,,::,,,,,,,,,,:::'';''''''''''';:,,,,...............``.............,,........,,,,,,:''++';
..........`....````...........`..```..,,....,,.............,,,,,........,,,..,,........,,,,,,,,..,..,,,,,,,,,.,;+':,,,,,,,,,,,:::::::::;;;;::,,,.....````.................,,,.,.,.,.........,..,,,;''';:
............`.`.`...`............`...,,,,.............,.,,.,,,.,.........,..............,...,..........,,.....,;;;::,,,,,,,...,,,,,,,,,,,,,........````````.`..,,,,............,,,,,,.,,,,,,,,,,,,:;;;:,
....`..............................,,.........................,,....................,..........,.....,,,...``.,,,,,,,..,,,,....................```....`.`````..,,,,.....,.....,,,,,:,,,,,,,,,,,,,:;'';,,
...................................:..............................,,................,.........,,.....,,,,,,......,,,...,,,.....................```......``````..,,.....,,,.,,,,,,,,,,,,::,,,,,,,:;;;;:,:
...................................,..........,,,................,,:,,,,,,.,,..,,,,...`...........,.,,,,,::,,,,.....,...,........`.............````..,..``.`.``...........,,,,,,,,,,,,:::::::,,,::::,,,,
....................`............................,........,,,..,,,,;';::;:,,,,,,,,,,,......,,.,.,,,,,,,,,,,,,,...........................```.```  ``.,,...............``..,,,,,,,,..,,,,::::::,,,,,,,,,,
...................```..........................,,,,...,..,,,..,,,,;';:::::,,,,,,,::::::,,...,,,,,,,,,...,.............```........````````...``````...............,,....`..,,,.......,,,,,,:::,,,,,,,,,,
....................``..........................,,,,...,,,,,,,,,,,:::;,,,,,,,,,,,,,,,,,,,,..........................`.``````....`````  ``..................................,,,.......,,,,,:::,,,,,,,,,,.
..............................................,,,,.....,,:;:,,,,:;;;::,,,,,,,,.,,.....................````````.......````````.....`````````````..................`.........,,,......,,,,,::::,,,.,,,,,,,
..................`..........................,,.,,...,,.,:'';:::;;;;:,,,......................```.....```````````````````...`..`........```````.....................,..,.,.,,,,.....,,,,,,,,,,..,.,,,...
.....................................................,,.,:'';;::;::,,........................`````....```````````````````..```````........`.`..................,...,,,,....,,,,,,.,,,,,,,::,,,,,..,,....
.,,,.............................................,..,,,,,,:::::,,,,......................``````````...```````````````````...``````.................,,.....`....,,,,,,,,,..,,:,,,,,,,,,,,,::,,,,,,,,.....
..,,,............................................,..,,,.....,...............................```````....`````` ``.....`.......``.........................`.`....,,,,,,,,,,,,,:,,,,,,,,,,,,::::,,,,,,.....
.....................................................................................,.........``````...````````...............................,,,.....``.`.....,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,......
............................````................................................,,,,,,,,,,,.........`````````````..............................,,,,.........,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,.......
............................```........`````..........................,......,,.,,,,,,,,,,,,.,,.......````````````..........................,,,,,,,.,.,,..,,,,,,:::,,,,,,,,,::,,,,,,,,,,,,,,,,,,,,,.....
......```...........................`````````.........```.............,....,.,,,,,,,,,,,.,,,,,..,,,.,,.....`...``.``.........................,,,,,.,,,,,,.,,,,,,:,,,,,,,,,,,,,,,,,,,,,,,,.,..,.,,,......
.....````...........................``.``````.```.```.................,,,,,.,,.,,,,,,,,,,,,,,..,,,,,,,,,.,....................................,..,,,,,,,,,,,,,,,,,,,,,,,.,,,,,,,,,,,,,,,,,,...,,,.......
......```........`.`.......`..`.`.....````````````````..``............,,,,,,,.,,,.,,,,,,,,,,,.,,,,,,.,,,,,,.....................,.,,,,..,,,,.....,,,,,,,..,,,,,,,,,,,,,,.......,,.,,,,,,,,,,,,,,,.......
```.```````...`````.......``.``````````````````````.....,...........,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,.....,,,............,,,,,,,,,,,,..,.,,,,,,.,,,,,,,,,,,,.,.,...........,...,,,,,,,,,,,..,,,,
``.````````````.`.`````..`.``````````````````.......................,,.,,,,,,,,,,,,,,,,,,,,,,,,,,,:,,,,:,,.,,,,,,,,,,.............,..,,,,,,,,.,,,,.,,,.,.,,,,,,,,,...,,,,,..,...........,,,,,,,,,...,,..
.`````````..``..``.`````.........`.`...............................,,,,,,,,,,,,,,,,,,,,,,,,,,,,,::,,:,,,,,,,,,,,,,,,,,..........,,,.....,,,,,,,,,,..,,.,,,,,,,,,,,,,,,,,,,.,,............,,,,,,,,,.,,,,.
..`.................```.`......`````..`............................,,,,,,,,,,,,,,,,,,,,,,,,,,,,,::::,,,,,:,,,,,,,,,,,,,,,..,,.,,,,.......,,,,,,,,,,,,,,,,,...,,,,,,,,,,,,....,,......,.....,.,,,,,,,,,,.
............`......```````````` ````````...........................,,,,,,,,,,,,,,,,,,,,,,:,,,,:,::;',,,,:::,,,,,,,,,,,,,,,,,,,,,,,,,,...,,,,,,,,,,,,,,,,........,.,,,,,,,,,,,,,......,,.,..,,..,,,,,,,,,
``............``````````````````````..````````.....................,,,..,,,,,,,,,,,,,,,,,,,,,,:::;;:,,,,:::,,,,,,,,,,,,,,,,,,.,,,..,......,,,,,,,,,,.,,..............,,,,,.,,,,....,.,,,,,,,,.,,,,,,,,,,
``............`.``````````````````  ``````````......................,,..,,,,,,,,,,,,,,,,,,,,:,:;:;':,,:,:::,,,,,,,,,,,,,,,,.,,..............,.,,,,,,,,.............,,,,,,,,,,,,,,,,,,,,,.,,,,,,,,,,,,,,,
```..........`..````` ````````  ``  ``````````.....,................,.,,,,,,,,,,,,,,,,,,,,,,:::;;;;:,,,::::::,,,,,,,,,,,,,.,,,...............,,,,,,,,,..,.,......,,,,,,,.,,,,,,,,,,,,,,,,,,...,.,,.,,.,,
.````.......```.```         ```` `````````  ````....,...............,.,,.,,,,,,,,,,,,,,,,,,,,::;;;;:,,,::::::::,,,,,,,,,,,,,,,,,........,,,,,,,,,,,,,,,....,....,,,.,,.,,,,,,,,.,,,,,.....,,.,,,,,,,,,,,
`...........```..````         `  ```` ` `     `.....,...............,.,.,,.,,,,,,,,,,,,,,,,,,,::;;::,,,,:::::::::,,:,,,,,,,,,,.,,,..,.,,,,,,,,,,,,,,,,,,.....,...,,....,,,,,,,,.,,,..,,.,....,,,,,,,,,,,
``.........`.```....````   `````````````      `.........................,,,,,,,,,,,,,,:,,,,,:::::::::,,,:::;;:::::::,:,,,,,,,,,,.,,..,,,,,,,,,,,,,,,,,,,..,......,...,...,,,,,.,..........,.,,,,,,,,,,,.
`............``.........``````````````````  ```....................,.,,.,,,,,.,,,,,,,,,,:,:,,,,::::;::,::::;;;::::::::,,,,,,,,,,,...,,,,,,,,,,,,,,,,,,,............,,.,,,,,,,,,............,,,,,,,,,,,..
``.......................`.........```````.````..........................,,,,,,,,,,.,,:,,,,:,,:::;;;;:::::;;;;;::::::,::,,,,,,,.,.,..,,,,,,,,,,,,,,,,,..,...,...,,,,,,,,,,,,,,,,...........,,,,,,,,,,,,,
``......................`..............`..............................,.,,,,.,,,,,,,,,,:,,,,,::::;::;;::;:;;;;;:::::::::::,,,,,,..,,,,,,,,,,,....,.,.,,,,.,,,,,,,.,..,,,,,,,,,,,,.,,,.,.,.,,,,,,,,,,,,..
`````........................``.........................................,.,.,.,,,,,,,,:,,,,,,,:::::;;;:::;;';;;;;::::::;:,:,,,,,,,,,,,,,......,..,....,,,,.,,.,,,,,,,,.,.,,,,,,,.,...,,,,,....,.,,,,....
``````.......................``.........................................,,.,.,,.,.,,,,,,,,,,,,,:::;;;::::;;;;;;;;;::::::::,:,,,,,,,,,,,,.,...........,,,,,,,,,,,,.......,........,,..,,,,........,,,,...
........................................................................,..,..,..,,,,,,:,,,,,::::::::;;::;;;';;;;::::::::::::::,,,,,,,,,,,.......,.,,,,,,,,,,,....................,..,.,.,.........,,,,,
......................................................................,..,.,.,,.,,,,,,,,,,,,:,:::::;::::::::;;;;;:::::;:::::::,:,,,,,,,,.................,.,..................................,.........
..............................................................................,,,,,,,,,,,,,,,::::::::;::::;;;;;;;;;:::::;::::::,::,,,,,,................................................................
..........................................................................,.....,,,,,,,,,,,,,::,:::::;;:;::;';;;;:;;:::;;::::,::::::,,,,,...,............,,.............................................
..............................................................................,.,,,.,,,,,,,,:::,::::::;::;:;;;;;;;;;:;;;;::::::::::,,,,,,,,.,,........,..,,,,...........................................
......,,.......,.......,,............................`......................,,,,,,,,,,,,,:,,:,:::,;:::::::::;;;;;;;::;;;;;::::::;:,,:::::,,,......,,,,,.,,.,............................................
.....................................................``...................,.,,,,,.,,,,,,,,,,:,,::::::::::::;;;;;;;;;;;;;;;;;:::;::::,,:::,,,.....,.,,,,,,...............................................
..........................................,,................................,,,,,,,,.,,,,::,::;;::;::::;;::;;;;;;;;;;;;;;;;::;;:::::,::::,,,,.,,,...,,..................................................
...........................................,....,..`.`......................,,,,,,,,,,,,,,:,,,,,,,:::::::::;;;;;;;;;:;::;;;;;;:::::::::::::,,..,......,.....,.,.........................................
.....,,...............................,..,..,,,,,,.```.....................,,,,,,,,,,,,,,,,,,,,:,:::,:::::::;:;;;;;:::;:;;:;;:;::::::::::::::,,.,....,..,...,........................`...`....`.........
....,;:..............................,:,....,::,,.....``..........,.......,,,,,,,:,,,,,,,,,,::,:,:,:;:::;:;;;;'';;:;:::::;:;;;;;;:::::::;::::,,,,............................``````````````.............
....,;',,..............................,.....,,,..........................,,,,,::::,,,,,,,,:::::::,,::::::;;;'';;;;::::::;;;;;;;;;:::::::;::::,,,.......................,,..............................
..`..,;;,,,,...........,,...,,,,..........................................,,,:;;;';:,,,:,,,,,::,::::::::::::';;;;;;:::::;;;;;;:;;;;;::::::::::::,.......................,,..............................
.....,,,,.,.,..........,,,,,,,,,,,..............,.........,,,.............,::;'###':,,,,,,,,,,,::::::::::;;;';;;;;;;:::;;;;;;;;;;;;;;;::::::::;;:,,...........`.........................................
....,,,,.,..,.......,,,,,,.....,....................`..`.,':,............,,:;+###++,,,,,,,,,,:,,,,:::::::::;;;;;;;;;:;;;;;;;;;;;;;;;;:;:::::::::::,.....................................................
....,,...,..,.,......,....................,,........```..,:+:............,,:;####';,,,,,,,,,,,,,,,::::::::;';';;;;;;;;:;;:::;;;:;;;;;;;::;:::::::::,....................................................
.......,,...,,,,,,..,,..............,...............`````,'++,..........,,,;#####+:,,,,,,,,,,:::;::::::::::''';;;;;:;:;::;:;;;;;;;;;;;;;;;:::::::::,,.........................................```...````
.............,,,,,,,,,.,.,.,..,..,,.................````..'++:.........,,::;;+++';,,,,,,,,,,,::::::::::::;;';'';;;;;::::::::;;;;;;;;;;;;;;;;::::::::,,.,....................................``   `.`````
;:::;;,,,,....,,.,.,,....,,,,.......................`````.,::,........,,,,,,::::,,,,,:,,,:,,,,,::::::::::;;;';;';;:;::::::::;;;;;;';;;;;;;;;:::::::::,,.,...................``......```..`````.````..```
''';+'+';:;;,,,,...,....,,,,........................`````...........,,,,,,,,,:,,,,,,,,,,,,,,,:::,:::::::::;;';;;;;;::::::::;;;;;;;;;;;;;;;;;;;;;::::::,.,,................`.`` ````````````````........`
+';;''''''''';:::,:,::,..............................`..............,,,,,,,,,,,,,,,,,,,,,,,,:::::::;::::;;';;';';;;:::;:::;;;;;;;;;;;;;;;;;;;;;::::;::,,.,...............```````````````````````.......`
''';'''''''+'++''''';:,..............................````........,,,,,,,,.,,,,,,,,,,,,,,,,,:,::::::::::::;;;;;;';;::;;;:::;;;;;;;;;;;;;;;;;;;;;;:::::::,.`..........``````  `..`..`.`````..`````````````
';;;;;''+'+''';;';;;:,...............................``...........,,,,,,,,,,,,,,,,,,,,,:,::::,:::::::::::;';;;;;;;;;;:::::;;;;;;;;;;;;;;;;;;;;;;;;;;::::,.``.`.....```````   ```.```````````..```  `.```
:::;;:;'+';;;;::::,,.......,,.........................````......,,,,,,,,,,,,,,,,,,,,,,,,,,:::::,,,:::;:::;;;;;;;;;;:::;:::;;;;;;;;;;;;;;;;;;;;;:;::;:::::,....````````````  ```.....````````````````.`` 
;;;:;;;''''';;::,,,...................................``.`......,,,,,,,,,,,,,,::,,,,,,,,,,,,:::::::::::::;';;;;;;:::::::;:;;;;;;;;;;;;;;;;;;;;;;;;;;;;::::,..``.....`.........`.........````````.....`.`
''';';;;''''';':,...,.,,,.............................`.`.......,,,,,,,,,,,,:,:,,,,,,,,,,,,:::::,::::;:;;;;;;;;;;:;;;;;::;;;:;;;;;;;;;;;;;;;;;;;;:;;;:;::,,.```...............``........`..`````....```.
'';''';;;'''+'',.....,,,.,.............................`.......,,,,,,:,,,,,:,,:::,,,,,,,,::::::::::::::;;;;';;;;:;;;;:;::::;;;;;;;;;;;;;;;;;;;;:;;;;;;::,,..``.......``........................```...``.
;''';+';''''+'',,......................................`......,,,,,,,::,,,,::::::::,,,,,::,::::::::::;:;;;;;:;;::;;;:;::;;;;;;:;;;;;;;;;;;;;;;;;;;;;;;;;::,.............................................
;''+''';;''+''';,............................................,,,,::::::,,,:::::::::,,,,,:,:::::::::::;';;;;;;;;;;;::;::::;;;:;;;;;;;;;;;;;;:::;;:;;;;;;;:::,.....................``.``````.........,,...
;'+';'''''++''++;;;:,,......................................,..,,::::::,,,:::::::::,,:,::::::::::::;:;;;';';;;;;;;;;;;;:;;;:;;;;;;;;;;;;;;;::;;;;;;;;;;;;;:,,......................`.`````..............
'''''''';'+++++#+'++',,,...,,...............................,.,,,:::::::,::::::::::::,,,,,:::::::::;;;;;;;;'';;:;;;:;;:;;:;;;;;;;;;;;;;;;;;;;;;:;:;;;;;;;;;:,,,.......`.........``````   ``.....```````.
'+''''''''''+'#+++'+':,,,,,;,,.............................,,.,,,;;:::::::::;::::::::,,,::::,:::::;;;';;;;;;;;;;;:;;;;;::;;;;;;;;;;;;;;;;;;;::::;;;;;:;;:;:::,,................`..````     ``...`      `
''''''''+''''''''++++:,,,.,:,,,,............................,,,::+';::;;:::::::::::::,,,:::::,:::;;;'';;;;;;::;;::;;;:::;;:;;;;;;;;;;;;;;;;;:::::::;;;::;;:::,,..........`.```````....```` ````..`     `
'';;''+''''+';'''+++'':,,,,,,,,.........................``....,:'+'+';;;:::::::::::::::,:,:,:::::;;';'';;;;:;;;;:;;;:;;:;;;;;;;;;;;;;;;;;;;;;::;;;:;::;;;::::,......`........`....`......```.``.```   `.
;;:;;'''';'+';''''++++;;:::,.................................,;;'+''++';:::;::;;:::::::::::::::;;;;;'';;;;;:;;;;;;;;;::::;;;;;;;;;';;;;;;;;;;;:::;;:::::::;:::,..............................`````......
;;;;';'''''+'''''++#+++';;;;;:,,.................````````...,,+#++###++';:;::;'::::::::::::::::;;;;;;;;;;;;;;;;;;;;:;:;;;;;;;;;;;;;;;;;;;:;:;;;;:::::::::::::::,........................................
';';;;;;'';'';';'++++''+';''++:,;,.............`.........`..,,++++####++';;:;';::;;::::::::::;;;;;;;';;;;';;;;;;;;;;;::;::;;;;;;;;;;;;;;;::;;::::::,,:::::::::,,........................................
';;;;';;';'';';++#++++'+':,:'++:,,,.......................`..,+########+;;'';';::;:::::,::::;;;;';;;;;;:;;;;;;;;;;;;:::;;;:;;;;;;;;;;;;;;;;:;:::::::,:,::::::::,,.......................................
;;';;';:+++''';'+''++'::::,,::,,,,............................+###+####';;:;;:;:;;::::::::::;;;;;;;;;;;;;;;;;;;;;';;;;::;;;;;;;;;;;'';';;;:;:::::,::::::,::::::,,.......................................
;'''';;;;;''+'''''''+''::::,,,,,,,.........................`.,;+###+###''';;;:;;:::::,,,::::;;;;;;;:;;:;;;';;;;:';;;;:;;;;;::;;;;;'';;;;;;:::::,:::::,:,:,::::::,,......................................
,:;;;;;;;;'';'+';'';#+':,,,,,,........................```````..++'++###''';;;;;::::,,,:::::;;;:;;:;;;;;;:;;';';;';;;;;;;;;::;:;;';;;;'';;:::::::::::,,,,,:::::::,,,.....................................
,,:,::;'';'+;'+'''''''''';:::...................``````........,,;+++##+;';;;;;;:::::,,::::;:;;;;;::;;;::;:;;;;';;;:;;;::;;;;;;;;';';'';;;:;:::,::,,,,,,:,::::::::................................`......
,,,,:;:::;;;;;;;'++''++++';'+:,...........`........`.`........,,:'+'++';;:;'';::::,,,:::::;;;;;;::::;;;:;;;;;;';;;'';;::;:;;;;;;;;;';;;;:;:::::::,,,,,,,:,::::::,.........`...........`````````. `......
..,,:';:;:;:;;;'++'+#++''+'++',..``...`.........................;;'+++'++++':;;::,,,,:,:::;;;;;:::::;:;;:;:;;;;;;;;;;;;:;;;:::;;;';'';;;::::::::,:,,,,::::::::::,,.....`.`.....`````````` `  `.```..`...
..,,,,,..,,;;;''+''++++''+++++:,.................................,:;;;+''';:;;::,,,:,:::;::::::::::::;;;;;:;;;;';;';;;:;':::::;;;;;';;;;;::::::,,,,,,::::::::::::,.......`..`.````````````.````.........
.....,,.,,:;;;;'''+''+'++'#+':,..........................`....`....,::;;:::::;:,,,,:,:::::;::::::::::::;;:;;;';;;';;::;;::::;;;;;''';;;;::::::,,,,,::,:,,::::::::,.......`...````````..``..............`
....:;,,,:;;;;;''''';''++++;:,....`...........................`....,,,,.,::::,,,,,,,,:::::::::;:::::;:;:;;;;;;;;;;;;;;:::::;;;;';';;;;;:::::::,,,,::,,,,,,:,:::::,,...........`........................`
....,;;,,:;'';;''+'''''++''';,.,.............`````.............``...,,,,,,:,,,,,,,,,,,:::::::::;::;;;:;;;;;;;;;;;;;:;:::::::::;;';;;;;::::::,,,,,::::,::,::::::::,......................................
...:.,''::;;';;';+;+;'+++++'':,.................................``...,,,,,,,:,,,,,,,,,,::::::::::::;::;:;;:;;''';;;;;;:;::::;;;;;;'';;;:::::,:::::;::::::::::::::,,.....................................
.,:;:,;':';;;'+';+++'''+++;;':,.............`..........``.`....``.......,,,,,..,,,,,,,,,:::::::::;:;:;:::;;;;;;;;';;;::::::;;;;;'''';;;;;::,,,,,:::,::::::::::::::......................................
;;''';';'+';''+'+++'';;'+;:,:,,.........``.```.`......`````````````.............,,,:,,,,:::::::::;:;;;;:;;;;;;;;;;:;:;::;:::;;;'';;';;;;;::::::;:::,,,,:::::::::::,.....................................
;';';;;'#+';''';'';;''''+,,.............```.`.```......```````````..........,...,,,,,,,,,::::::::;:;;;;;;;';;;;;;';;;:::::;::;;;''';;;;:::,,,::::::,,,,:::::::::::,,..............................`.....
::;::::;'';'''''';';';;+'''':,,,........`.`.```````````.`````.````....,.,.......,,,,,,,,,:::::::::::;:;;:;;;;;';:'';::::::::;;;;;'';':;::,,,:::,,,,,,,,:,:::::::::,,,,...,..............................
:,:::,,,,,:,::::::::;;'+''++';;;,....;,...````    ``...,......```...,,...........,,,,,,,,::::::::;::;:;;;:;';;'::;:::,:::;;:;::;;'';;;;:,,,,,:::,,,:,,,:,,:::::::::,,...................................
,,:';:,,..,,....,,.,;;;;;'';;'';:,,,,:,...``` ``...`.``..........................,,,,,,,,:,::::::::::;:;'::;;:;:::,::,::::::;;;;;';;;;::,,:,::,,,,,::,,,:::::::::::,,...................................
,,,,,,,,,,,.....,,..,,,.,``...,;:::,:;;,,.,,...................``....,,,,......,..,,,,,,,,,,:::::::;::;;;:;;;:;;;::::::::::::;:;;';;;;;::,::,:,,,,,,:,:,::::::::::::,..............``.............`````.
..........``...``````` ```````.....``````..,,,,.............``.``.....,,...,..,,..,,,,,,,,,,:::::::;::;::;;:;:;;::::::::::::::;;;';;;;;:,,:,::,,,,::,,::,::::::::::,,..............``..`.`....````      
.......``````..```````   `````.....``.................`.```````......,,,,....,.,..,,,,,,,,,,::::::;;;,:::::;;:;:;:::::,::::;::;;;;'';;;::::::,:,:,,::::::::::;::::::,..```.......````       `.`` `      
.,.........```.....`..````````....``..............```   ``` ```..``......,.,,..,,.,,,,,,,,,,,:::::;';::::::::;:;:,:,:,:,,::::;;;;;;;;::::::,:,:,,,:::::;:::::::::::,,....`.```..```         ``          
...........````````.....`````````........`.....``````     `````..`.......,,,,,,,,.,,,,.,,,,,,:::::;:;;:::;:::;:,::::::,,:::::::;'';;';;::,:,,,,,,,,,:::,::::::::::::,........`....``` `    `````````````
...........,............`````......``.`.```..`....``` `   `  ``.`........,,,.,,,,,,,,,,,,,,,,::::::::::::;;:;;::::,::,,:,:::::;;;';';;;:::,:,,,:,:,,,;:::::::::::::,,,,................``.``............
::....,:.,;;,;:...``..````........` ````.``....`..``..```` ````.`.......,,,,,.,,,,,,,,,,,,,,,:::::::::::::;;::::::,,:,:::;;:::;;;;;;;;::::,,,,,,:,,,:::::::::::::::,:,..................................
;;';::';;;'+'+':.;';.```..::.``` ```    .,..```````` .` ...``````......,,,,,,.,,,,,,,,,,,,,,,,,,::::::::::;:;::;:::::::::::;:::;;;'';;;:::,,,,,,,,,,:::::::::::::::,,,.........,........................
;'';';;+'+'+++;;;;+'';;;;';;':``         ....``       ```````````......,.,,,,,,,,,,,,,,,,,,,,,,,::;;::::::;;::::,::,,:::::;::,:;;';;';::,,,,,,,,,,,::::::::::::;:::,,,..........................   `....
.,;''';++'';+'';;;;;;+''';;';++.  ``     `......``` ```....``...````.....,,,,,,,,,,,,,,,,,,,,,,:::::::;::::;:,::,:,,::::::;:,:;;''';;;:::,,,,,:,,,,,::::::::;:;:;;:,,,,.........................   ``...
::;;+;;'''';+;;+;;;';'';;'';''#+'';,  ````..```  `.........................,,,,,,,,,,,,,,,,,,,,,,::::::::::;:::::,,,,,::::;::::;';';;;;::,::,,,,,:::,:::;:::;;::;::,,.....`````.....`......,,...`  ``.,.
';';;';;;'++;';:,;;'''+;';''+''+++++..........`  `.,...........`...........,,,,,,,,,,,,,,,,,,,,,::::::::::::::::,::,,::,,::::,:;';';;;:::,,:,,:,:,,:,,:;::::;;:::::,.``..`````.......,,:::::::,``` `....
;;'';'';''':,.``.:;;'+;;;';';';+''''',...`.......................`........,,,.,,,,,,,,,,,,,,,,,,,,::::::::::::::,,:,:::::::,::;;;;';;;:,::,,,,:;:::,:::,::::;:;:;::,,.........,,,,::::::::::::::.```..``
,:''':+;:,.`.````,;;',:';;+'''''+''''+':,.,......,,............`...........,,.,,.,,,,,,,,:,,,,,,,,,,::::::;::::,,,::;:::::,:;::'';';;;::,:,:,,::,:::::::::::;;;;;::,,.....,,,::::::::::::::::::::::;::,`
,;+;,,,.....``...:;++;:,::';''+;'#';++':',,,,,,,,,,,,,.........`..........,,..,,,,,,,:,,,:,,,,,,,,,,::::::::,:::,:,:;;:::::::;;;'';;;::::,,,,,:::::,::::;::;:;;;;;:,,,,::::::::::::;;;;;;:;;;;:;::::::,.
'++:;,,...````..,.:;';;:,,;:;'';'+'''#++';;,,,,,,,,,,...,......`..........,,.,,,,.,,::,,,,,,,,,,,,,,,,,::,:,,:,,,,:::::::;:::;;''';;::::,,,,,,:,::,,,:::::::;;;;;:::::::::::;;;;;;;;;;;;:;;;;;:;:::::::,
;'';,.,,.::.``;.;;+;,,:,,,;;:+''+''+++#+'+;':,,,,,,,,,..,......`.............,,,,,::,:::::::,,,,.,,,,,,,:,:,::,,,::::,::::::::;;;;;';;:::,,,:::,:,,:::::::::;;;;;;;::::::;;;;;;;;;;;;;;;;;;;;;;;;:;:::::
::,:..;'''+',:;+;'++;:':;:,+;'++#++++##+'#++;:,,,,,,,,,...................,.,,,,,,,:,:,::::::,,...,,,,,,:,:,,,,:,,,,:::::::::;'';'';;;::,,,::::::::::,::::::;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;::;:::
...`..;+'+#+;:'+'++'''''''''''+:;;++++;+++#+'::,,,,,,,,,.......`..`.........,,,,,,::,::;;::::,.....,,,,,:,,,,,,:,,,,:,:,::::;;;''';;;::::,,,,:,:::,,:,,:::::;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;:::
`` ```;'++#;:#+++;++';+'';'++;+++.+''+'++:,:::::,...........````.`..........,,,,,,:::;:;;;:::.......,,,,,,,,,:,,::::::::::,:;;;;''';;;:,::,::,::,::,,:,,:::;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;:;;;;;;;
`````.;''+';;;:#++++++'+'''++'''':;,;+''++,,,;;;':..`..```...`````..........,,,,,::::;:;;;::,,......,,,,,,,:,,,,,:,:,::,:::::;''''';;:::,,,,,::::,:,:,,::;:::;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;
  ````:;'+;''+#'+##++###++''+'';';;;'+#+;';;;'''''+....```````.``.``........,,,,:,::,:::;;;::,......,,,,,,,,:,,,,:,,::::,:::;''''';';:::,:,,:,::::,::,:::;;::;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;
````.,;;+'+++++++##++''#+#+;'+;'+++#'++++:,,;;+'+'+:......````````..........,,,,::,:::::;;;:,,......,,,,,,,,,,,:,,,,:::,::;::''''';;'::,,:,::,:::,:,,::::;;:;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;
..,....;'''+###++#+#+++###'+''';';+++++++;,,,,;;'+';::.......`..`...........,,,,:::::,::;;;:,.......,,,,,,,,,,,,,:,,::,::::;;'''''';;:,,:,:,,:,,:,,::,::;::;:;;;;;;;;;''';;';;;;;;;;;;;;;;;;;;;;;;;;;;;:
.....`..;':;+++'+++++++#++++'''''+;''';+++,,,,.;;';::.....````````.............,,,,,::::;;;;,.......,,,,,,,,:,,,,::::,,:::;;'''''';;;:,:,,:,,::,,,,,,,:::::::;;;;;;;';'';;;;;;';;';;;;;;;;;;;;;;;;;;;;;;
,```   ````..,:;;'#+++##+#'''+';;''';+''++:,,...................`..``.......,.,,:,,,,,;;;;:,.........,,,,,,:::,,,:,:,:::,:;'''''''';;:,:,,:,,,,::,,,,::::::::::;;;';';''';';;';;;;;;;;;;;;;;;;;;;;;;;;;:
``.```   `` `,:;;;++#+++'+';;;:;;;;+'+++''',,.............`...``.``..........,,,:,,:::::::;,..........,,,.,,,,:,,,,:::::::;'''''''';;:::,:,::,,,,,,,::::::;::;;;;';'''''';''''';';';;;;;;;;;;;;;;;;;;;;;
```..`     ``:;;;'+#'';'+;'+''';;;'''';+;''';....................``.........,.,,,::,::,;::;,...........,,,,,,,:,,,:::::::;;'''''';';;:;,,::,:,,:,,,::::::;:;::;;;;'''''';''''';'';;';;';;;;;;;;;;;;;;;;;
```,.``    `.''';'++++'';''';;';';:'++;'+;;;,....................``...........,,,,,,:::;;:,.........,.,,,,,,,,,,,,,::::::;''+''''';;;:::,:,::,,:,:,::::::::;::;;;;'''''';;'''''';'';;;;;;;;;;;;;;;;;;;;:
```:,.`` ` ``:;'''';++';::;'';;;;'''+;';;;+;,....................`.`.........,,,,,:,;:::;:..........,,,,,,,,,,,,,::::,::;'''++''''';::::,::,,,,,,,,:,::::;:;;:;;;''''''''''''''';''';;;;;;;';;;;;;;;;;::
``.,,,;``````.:'''''+';;:;;;:;;;';;;'';+''::,................`.```...........,,,,,:,:;:;:,,........,.,.,,,,,,:,:,:::::;:;''+'+''''';;:::::,,::,::,,,:::;;;;::;;;;'''''''''''''';;;;;;;';;;;;;;;;;;;;;::,
,...,,;;.`..``.:;:'+'+';;;::;;:;;;:,...`....````...``.`.....................,,,,,,,:::,:;,,.......,...,,,,,,,,:::::::::;'''++'''';';;::::::,:,,,:,,:::::::;;;;;;''''''''''';''''''''';;;;';';;;;;;;;;::,
:......,.......,;:::;;;:;:;;:;:,,..............`.````````````..`............,,,,,,:,::::,.........,.,,,,,,:,:,,,,:,::::'+''+++'+';';;::;:::,,,,:::,:::::;:::;;;;''''''''''''''''''';;''';'''';;;;;;;:,,.
..............,..:;;;:,...,,.':...............`.....`````````````...........,,,:,,:::::,,,......,,...,,,,,,,,::,;:::::;;+++++++'''';;::::::,::::::::::::::;:;;;''''''''''''';';'';''''''''''';;;;;;:,,..
..................,;:,....,.,';:......................``....`.`.............,,,,,::,,::,,...........,,,,,.,,,,,::::::;;'+++++''+'';;:;:::::,,:::,,:,:;::::;:;''''''''''''''';'';';;;;;;;;;;;;:::,::,,...
...........`......:,,:,,,..,,,,..............``````.``;:.````````.`.........,,,,,:,,:,::..,.....,...,,,,,,,,,,,:,::;:;;''++'+'''''';:::::;:::::::,::::::;;:;;''''''''''''''''''''''';;;;;;;::,,.........
...........`.``.`````...........,..........................................,,,,,:::::,:,.....,....,.,,,,,,,,,,::::::;;'+++++'';;;;;:;;:::::::,:;::,::::::;;;;;'''''''''''''''''''''';;;;;;::,...........
.............`.`` ``..```............`........`.....``..`.``.............,,,,,,:,,::::,,..,,.,,,.,.,,.,,,:,:;::,,:::;'++++''';;;;::::;;:;:::::;:::::::::::;;;;'''''''''''''''''''''';;;;::,.............
......````.,..`````...........``.....``..`....,......`,.......,.,..,,,,,,,,,,,,,,,,:::,,,,.,,,,,,...,,,,,,,:::,,,:::''++''';;;;;:::::;:;:::;::::::::::::;:;;;'''''''''''''''''''';';;;;:,,..............
........`....`````....```````` `,.`````.````````.........,,........,,,,,,,,,,,,:::,::,,,.,.,,,..,..,,,.::::::::,:::;+++++';;;;::::::;;:::::::;;::;;::::::;;;''+'''''''''''''''';'';;;:,,................
..........`...``` `,..````.`` `..``.```..```.....`..``.,,.:.....,,,,,,,,:,:,,,::;::::,,,,.,,,,,,,,,..,.,:,,,::::,:;'+++++'';;::::;:::;::;;;::;':;:::::::::;;;''''''''''''';'''';';;;:,..................
......`....```..```..```````````` `````````````...``.`.:,......,,,,,,,::,:::::;::::::,,,,.,..,,.,,.,.,.,,,;::::::;;'++''+';:;;:;:::::::::;;::;;;;;::::;::;;;;'''''''''''';'''';;;;:,,...................
.,`...`..`.``.`.......````````````` ```````....``````..`.`.:`.,,.,,:,:::,:::;:::;::,,,,,,,,,...,.,,,,,,,,,,:::;::;;++++'';;;;:,,,;::::::;;;::;;'';;:::;:;;;;'''''''';''''';;;:,,........................
``.`..`......```````...........``.``.```````.```````````````..,,.,:::;::;';::;::;:,,,,,,,:,,,,,,,,,,,,,,,,,,,::,::;+++++';::::,,:::,::::;;;;;;:;;;;;;::;;;''+'''''''''''';;;,,.............``...........
``` `.`.`.`...`............``..........`.```````..`..``````..,,,,,,,,'':;:';:::;:,,,,,,,,,,,,,,,,,,,,,,,,,,,,,:::;++++++';;::,:,,::,,,:::;';;;;;;;;;;::;;;''''''''''''';;;:,.............`..............
..``..``.`....`....`.......``````..````....`.`...`...```````.,;,,:;:;;:,':::;;;',,,,,:,,,,,,,,,,,,,,,,,,,,,,::::;'++##++'';;,,:,,,,,,:::;;;:;;;;'';;::;;''''''''''';;;;:,................`..``.`........
.....````.``.......`...``...``.......````..`.``..`.,.``````..::,,;,;:;.,.,,:':',,,,,:,,,,::,,,,,,:,,,,,,,,,,,:::'+####+++';;:,:;:,,:::;:;;;;;;;;''';;;;;''''''''';;;:,..................................
````..................`.....`.````..`````.`.````.`.....````..,,..:;..:,:.,,:;,,.,,:,,,,,::,,,:,:::,,,,,,,::,,:;;++#######+++;,:::,,,::::;;'';;;;;''';;''''''''';;;;,...`............`..`................
`............```............`.............``...```..``````...,....:,,,,:.,,,,..,,:::,,,,,,,,,,:::::,,,,:::,,::'''+#####+###+;''';::,,:;;;;';''';''+'+''''''';;;;::,,.``.`....`..........................
................``.`````..........`.``..`....````..`.`````.......,:,,.,:,:....,,,,:,:,::,,,,,,;,::::,,::::,,::''+++##+++####++'''':::;;;;'''''''+++'+'''';;;::,,,,,...........``.......,........,,......
...```.```.``.............................,.,...........``........,.,...`````..,,:,:,,:,,,,,,:,,::::,::,:::::;++''';:,..,;++#++;';;::::;'''''''+++++';;;::,.,............,,.........................,...
`.```.`.......`.```````.....`........................`........````.````````` `.,;:,::::,:,,,;,,,,:,:,,:,:::,:;''';;,....``.`..++';;;'';;''''++++++'';:,,...................,,.,,..................,.....
...``...`.`````..````````..``..````````````.```````.``````````````````````````,:'::::;,:,,,::,:::,:,:::::;::''';;:.....`..`.`.`...,....,,,....,,.,..,,.,.,..............................................
.....``..`.```.....`.```....````````....`.``.```````.`````````````````````````.::,;::::;,,::,:::,,,,,::::::;'';:,...``.`.````````..````..`.....................``.`.`...................................
``````````.`..```..```````````````````.````.`.``.`...`````````````````````````..,:+;:;';,,,;;:,:,,:,,:::::;;;:,...````.``.```````....`.....................`............................................
````````..`````.`........`..`.```.``````````.```.``.````````````````````````````..,,:;:,,::;;:,:,,:,,,:;;;';,..`.``.``.`````..```.``......`.`.......................................````...`............
...`.```.`........````.`.```..`.``.`..`.`.````..``````.``````````````````````````.,,,::,:,,;'::::,,,,,:;';:..`..```..`.`..``..````````.`...................`............................................
```..```..````......`.`.``..````.......```.`.......``.```````````````````.`.....``...,,,,:::;,,,,,,::;;::..```````.````......``.``..```.`..........`....`..`............................................
....`....`........`............``.......`````````.....`.`.`.`.......`````````````````````````...:,::,.......````````````````.`..`.`...........``.....................`..................................
....`.`.`.``````````.```...``................`..``.....`.`..````````````````````````````````````.``````````````.`.`....````.....`....`...........`......................`...............................
.......`..`.```.````.``````..`.```..`....`````````.```````````..`````````.````......`...``.``````````.`````````..`.`..........``....```...............................`.`````...........................
..................`...```..`.....````.......````.```````.``.``````````````.``...........``...```````````````````````.............................................````` `     ```............,...........
...........................`..`.............`.`````...``...````````..``.`.......````..........``````.`.`.`.```.`..`...`..``...................................``````````      ````............,....,....
.`.````.`..``....`....``....`..........````...........`.`..````.`....`....`..``..```..`..`...````````````.``...``````...`````.```.........`...............```.``````.`...`       ``.....................
``.``.````..```.`...`..`````......`......``...........````.``..`....................`..`...```.``````.````````..`..```.``......``.```....``....,........`..`.`..```...`....``````.......................
.........````.``.``...`..`.```..```......`..`.............`.....`..````````..`.``....```.`````.`.````....``````````..`..`........``..`...........,.........```..```...````````.`   ```..................
..`.```````..`......````..``````...`..````.`........`...........`.`...``..``......``....`.....`.```..`.````.`........```.```..``..``.``.```.....,...............`....... ``.....```````.`...............
`..``....`.`.```````.`  .`.``..    ....```..`...``....`..................`....`........................``````..`````....````````     `....`..........,...`.......`````.````..``````````.................
..``....`..``.`.````....``....,.`  `....````....``.....................`..``..``````````.``..........`````````````.`````````          ```.................``....`....``.`...``.```````..................
``.`.`.`.`````````````.,...`....``````   .````````````.`......`..`.`````````````````.`````````````.``````````  `...```````             ````................````..``````````.``.```````..................

I JUST WANTED TO SAY...

HAPPY BIRTHDAY!