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