lol

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

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

                                                                                                                                          ..``` ``  ```` ...  .`  ``.``` `   .``.``  `....` ````` `,
                                                                                                                                          .` .. `, ``` ` .....``.`` .` ``..  ``` .`.`.. ... ```..`.`