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⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⢀⣀⣀⣀⠄⠄⠄⠄⠄⢀⡔⠩⢞⢋⠖⠢⡄
⠄⠄⠄⠄⠄⠄⡠⢄⣀⣀⠤⠤⠤⡎⠄⢀⠴⡆⢀⣀⢤⠐⢱⠃⠙⣞⣳⣺⣿⠘
⠄⠄⠄⣤⢤⣎⣠⣧⢕⣵⣾⣿⣿⣿⣷⣮⣦⣏⡺⢅⣵⣿⢰⣿⣿⣶⣝⡿⠣⡜
⠄⠄⢰⣤⣿⣿⣿⡟⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣭⣟⠿⢸⣿⣿⣿⣿⠄⡷⠄
⠄⣯⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡪⠷⣾⣭⢻⠏⠄⠄⠄
⠄⣿⣿⣿⣿⣿⣿⡇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⢀⡼⡫⠏⠄⠄⠄⠄
⢰⣿⣿⣿⣿⣿⣿💋⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠈⢅⠄⠄⠄⠄⠄⠄
⠈⣿⣿⣿⣿⣿⣿⣆⢏⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀⢈⠄⠄⠄⠄⠄⠄
⠄⢻⣿⣿⣿⣿⣿⣿⣯⡆⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡰⠋⠄⠄⠄⠄⠄⠄
⠄⠘⣿⣿⣿⣿⣿⣿⣿⡇⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠄⠄⠄⠄⠄⠄⠄⠄
⠄⠄⠘⣿⣿⣿⣿⣿⣿⣷ ⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏

$$$$$$$$$$$$$$$$$$$$$$$$$$$
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$_____$$$$$_________$$$$$________$$$$$___________$
$______$$$$$$$______$$$$$_____$$$$$$$____________$
$________$$$$$$$____$$$$$___$$$$$$$______________$
$___________$$$$$____$$$___$$$$$_________________$
$__$$$$$$$______$$$__$$$__$$$______$$$$$$$_______$
$______$$$$$$$$____$$_$_$$____$$$$$$$$___________$
$__________$$$$$$$$$_$$$_$$$$$$$$$_______________$
$_________________$$$_$_$$$______________________$
$_____________$$$$$___$___$$$$$__________________$
$_____________________$__________________________$
$_____________________$__________________________$
$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$

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⣿⣿⣿⣿⣿⣿⣿⣿⠟⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠉⠻⣿
⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢺⣿
⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠆⠜⣿
⣿⣿⣿⣿⠿⠿⠛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠻⣿⣿
⣿⣿⡏⠁⠀⠀⠀⠀⠀⣀⣠⣤⣤⣶⣶⣶⣶⣶⣦⣤⡄⠀⠀⠀⠀⢀⣴⣿
⣿⣿⣷⣄⠀⠀⠀⢠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⡧⠇⢀⣤⣶
⣿⣿⣿⣿⣿⣿⣾⣮⣭⣿⡻⣽⣒⠀⣤⣜⣭⠐⢐⣒⠢⢰
⣿⣿⣿⣿⣿⣿⣿⣏⣿⣿⣿⣿⣿⣿⡟⣾⣿⠂⢈⢿⣷⣞
⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿⣷⣶⣾⡿⠿⣿⠗⠈⢻⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠻⠋⠉⠑⠀⠀⢘⢻
⣿⣿⣿⣿⣿⣿⣿⡿⠟⢹⣿⣿⡇⢀⣶⣶⠴⠶⠀⠀⢽
⣿⣿⣿⣿⣿⣿⡿⠀⠀⢸⣿⣿⠀⠀⠣⠀⠀⠀⠀⠀⡟⢿⣿
⣿⣿⣿⡿⠟⠋⠀⠀⠀⠀⠹⣿⣧⣀⠀⠀⠀⠀⡀⣴⠁⢘⡙
⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⢿⠗⠂⠄⠀⣴⡟

⠀⠀⠀⠀⢀⡠⠤⢄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠢⡀⢀⠔⠁⠀⠀⠀⠈⠑⣄⠀⢀⠄⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⡎⠀⠀⠀⠀⠀⠀⠀⠈⡆⠀⠀⣀⡠⠀⠀⠀⠀
⠀⠀⠀⠀⠒⠀⠀⠣⡄⠤⠄⠀⠀⠤⠄⡤⠇⠀⠁⠀⠀⠀⠀⠀⠀
⠐⠒⠀⠤⠄⠀⠀⢰⠁⠀⠀⠠⠀⠀⠀⠀⠀⠀⠀⠀⠤⠤⠤⠄⠀
⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠒⠒⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠒⠂⠀⠀
⠀⡀⠀⣀⣄⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠸⠀⠀⣠⣀⠀⠀⠀⠀⠀
⠀⠀⠀⢉⡽⠦⠾⡇⠀⠀⠀⠀⠀⠀⠀⠀⡷⠤⢎⡉⠀⠀⠂⠤⠀
⠒⠁⡔⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢆⠀⠀⠀⠀
⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠤⡀⠀
⠀⠀⠣⡀⠀⠀⠀⠀⠀⠀⣫⣺⣅⠀⠀⠀⠀⠀⠀⢀⡜⠀⠀⠀⠀
⠈⠁⠀⠙⠢⠤⠤⠤⠴⠊⠁⠀⠀⠑⠲⠤⠤⠤⠔⠋⠀⠀⠈