$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$
$_____________________$__________________________$
$____________________$$$_________________________$
$__$_________________$$$________________$________$
$___$$______________$$$$$_____________$$_________$
$____$$$____________$$$$$___________$$$__________$
$_____$$$$$_________$$$$$________$$$$$___________$
$______$$$$$$$______$$$$$_____$$$$$$$____________$
$________$$$$$$$____$$$$$___$$$$$$$______________$
$___________$$$$$____$$$___$$$$$_________________$
$__$$$$$$$______$$$__$$$__$$$______$$$$$$$_______$
$______$$$$$$$$____$$_$_$$____$$$$$$$$___________$
$__________$$$$$$$$$_$$$_$$$$$$$$$_______________$
$_________________$$$_$_$$$______________________$
$_____________$$$$$___$___$$$$$__________________$
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$_____________________$__________________________$
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⠀⠀⠀⠀⠀⠀⠀⣀⣠⡴⠶⠛⠛⠛⠛⠛⣿⣦⡀⠀⠀
⠀⠀⠀⠀⠀⣀⡴⠋⠉⠀⠀⠀⠀⠀⠀⠀⣿⠀⣿⠀⠀
⠀⠀⠀⠀⣀⣾⣵⣶⣿⣿⣿⣿⣿⣦⡀⠀⣿⠀⣿⠀⠀
⠀⠀⠀⠀⣾⣿⡿⠀⠀⠈⢻⣿⠿⠿⠟⠀⣿⠀⣿⠀⠀
⠀⠀⠀⠀⢹⡟⠁⠀⠀⣰⠟⠀⠀⠀⠀⠀⣿⠀⣿⠀⠀
⠀⠀⠀⣴⠟⠀⠀⠀⣼⠏⠀⠀⠀⠀⠀⠀⣿⠀⣿⠀⠀
⠀⣴⣾⣁⣀⣀⣀⠀⣿⡀⠀⠀⠀⠀⠀⣼⠟⠀⣿⠀⠀
⠀⢿⣅⠀⢿⣿⣾⣍⣻⡇⠀⠀⠀⠀⠀⣿⠀⠀⣿⠀⠀
⠀⣼⡿⠶⠶⠿⠟⠛⠉⠀⠀⠀⠀⠀⠀⣿⣠⣼⡿⠀⠀
⠀⣿⣿⣿⣿⡷⠶⠆⠀⠀⠀⠀⠀⠀⠀⣿⡏⠉⠀⠀⠀
⠀⣿⣿⠿⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⠸⠀⠀⠀⠀
⠀⣿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣶⣯⠀⠀⠀⠀⠀
⣾⠋⠀⠀⠀⠀⠀⢀⣀⣠⣤⣶⣿⠿⠋⠙⣦⡀⠀⠀⠀
⠙⠷⢶⣶⣶⣿⣿⣿⣿⣿⡿⠟⠁⠀⠀⠀⠛⠻⣄⠀⠀