⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡠⠤⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡴⠁⠀⡰⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⢀⡎⢀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀
⣀⠀⠀⠀⠀⠀⠀⡠⠬⡡⠬⡋⠀⡄⠀⠀⠀⠀⠀⠀⠀
⡀⠁⠢⡀⠀⠀⢰⠠⢷⠰⠆⡅⠀⡇⠀⠀⠀⣀⠔⠂⡂
⠱⡀⠀⠈⠒⢄⡸⡑⠊⢒⣂⣦⠄⢃⢀⠔⠈⠀⠀⡰⠁
⠀⠱⡀⠀⠀⡰⣁⣼⡿⡿⢿⠃⠠⠚⠁⠀⠀⢀⠜⠀⠀
⠀⠀⠐⢄⠜⠀⠈⠓⠒⠈⠁⠀⠀⠀⠀⠀⡰⠃⠀⠀⠀
⠀⠀⢀⠊⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠾⡀⠀⠀⠀⠀
⠀⠀⢸⣄⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀ ⠀⣀⡇⠀⠀⠀⠀
⠀⠀⠸⢸⣳⠦⣍⣁⣀⣀⣀⣀⣠⠴⠚⠁⠇⠀⠀⠀⠀
⠀⠀⠀⢳⣿⠄⠸⠢⠍⠉⠉⠀⠀⡠⢒⠎⠀⠀⠀⠀⠀
⠀⠀⠀⠣⣀⠁⠒⡤⠤⢤⠀⠀⠐⠙⡇⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠣⡀⡼⠀⠀⠈⠱⡒⠂⡸⠁⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠑⢒⠁⠀

⠀⠀⠀⠀⠀⠀ ⠀⠀⢀⠄⣒⣐⡂⢄
⠀⠀⠀⡤⣂⣭⣭⣅⠢⡀⠤⢀⣀⣀⠂⠾⡿⠛⢿⣦⢡
⠀⠀⡌⢰⡿⠉⠉⠙⣡⣶⣿⣿⣿⣿⣿⣷⣦⡀⣸⡿⠸
⠀⠀⢃⠸⣿⡤⢀⣾⣿⡿⠛⣿⣿⣿⣿⠛⢻⣿⣄⢶⠁
⠀⠀⠀⠁⢒⢠⣿⣿⣿⣇⣀⢟⡛⠛⠛⡠⢼⣿⣿⡄⡆
⠀⠀⠀⠀⠸⢸⣿⣿⣿⣿⢱⡿⣷⡦⢴⠇⡇⣿⣿⠃⠇
⠀⠀⠀⠀⠀⠣⢙⠻⢿⣿⣧⣝⣲⠾⢗⣫⠼⢛⠅⠉⠀
⠀⠀⠀⠀⠀⡀⠤⣃⡒⣬⣭⣭⣭⡭⠭⢴⣦⠑⠠⣀⠀⠀⠀⠀⠀⠀
⠀⠀⢀⠄⣪⣴⣿⣿⡷⢸⣿⡟⣵⣾⣿⣷⣮⢣⢻⣶⣭⠒⣂⣔⢂⠀
⢀⢊⣴⣾⣿⣿⣿⣿⠇⡿⠟⣃⡛⠿⣿⣿⣿⡏⡆⢿⡟⢸⣿⡤⠆⡄
⢨⠨⡀⠀⠉⢿⣿⠟⡌⡴⢙⡀⣏⠙⡌⣿⣿⣿⢸⠈⣤⢸⣿⡇⠀⡇
⠀⠑⠬⠑⣒⠪⢄⠺⡇⣿⠉⠀⠀⠉⡇⡿⠿⣣⢏⣼⣿⣿⣿⣧⠀⡇
⠀⠀⠀⠀⠀⠀⠀⠁⠢⠙⣄⠀⠀⢠⢃⡛⠩⠀⠈⠩⠭⠭⠭⠍⠑⠁
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠪⠭⠭⠕

⠀⠀⠀⠀⣀⡀
⢠⣤⡀⣾⣿⣿⠀⣤⣤⡄
⢿⣿⡇⠘⠛⠁⢸⣿⣿⠃
⠈⣉⣤⣾⣿⣿⡆⠉⣴⣶⣶
⣾⣿⣿⣿⣿⣿⣿⡀⠻⠟⠃
⠙⠛⠻⢿⣿⣿⣿⡇
⠀⠀⠀⠀⠈⠙⠋⠁

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$______$$$$$$$______$$$$$_____$$$$$$$____________$
$________$$$$$$$____$$$$$___$$$$$$$______________$
$___________$$$$$____$$$___$$$$$_________________$
$__$$$$$$$______$$$__$$$__$$$______$$$$$$$_______$
$______$$$$$$$$____$$_$_$$____$$$$$$$$___________$
$__________$$$$$$$$$_$$$_$$$$$$$$$_______________$
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⠄⠄⢀⠄⠄⠄⠄⠄⠄⠄⠄⠄⢠⣷⣄
⠄⠄⢸⣷⣦⡀⠄⠄⠄⣀⣀⣤⣿⣿⣿⣦⣀⣀⣀
⠄⠄⢸⣿⣿⣿⣶⣶⣿⠿⠛⠿⣿⣿⣿⣿⠛⠛⠻⣄
⠄⠄⢸⣿⣿⣿⣿⠏⠄⠄⠄⠄⠄⠉⠻⣿⠄⠄⠄⠈⠳⣄
⠄⠄⢸⣿⣿⣿⣿⠄⠄⠄⠄⠄⠄⠄⠄⠘⣆⠄⣀⠄⠄⠈⣆
⠄⠄⣼⣿⣿⣿⣿⠄⠄⢠⣤⡀⠄⠄⠄⠄⠸⣄⣿⣷⡄⠄⠸⡄
⠄⢀⣿⣿⣿⣿⣿⡄⠄⢸⣿⣿⡄⠄⠄⠄⠄⡟⢾⡿⠇⠄⠄⣷
⠄⢸⣿⣿⣿⣿⣿⣿⣄⠈⢿⣿⠇⠄⠄⠄⢀⡇⠄⣽⣿⣿⣿⣿
⢀⣿⣿⡟⠉⠉⠉⠙⠻⢷⣤⡀⠄⠄⠄⣠⠞⠄⠈⢿⣿⡿⢿⠇
⠈⠻⢿⣇⠄⠟⣷⣦⣀⡀⠄⠈⠉⠉⠉⠄⠄⠄⣀⡠⠄⠄⡜
⠄⠄⠐⠺⢦⡀⠙⡿⠿⢿⣷⣶⣶⣶⣶⣶⣶⣾⠏⠄⢀⠌
⠄⠄⠄⠄⠄⠉⠢⣈⠢⢄⠙⠙⢿⣿⣿⣿⠟⠉⡀⠔⠁
⠄⠄⠄⠄⠄⠄⠄⠄⠁⠒⠄⠄⠄⠭⠭⠄⠂⠉

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠛⠙⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⠿⠿⠿⠿⢛⣋⡍⠉⠉⠉⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⡿⠁⣾⣿⣿⣾⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⡀⠀⢻⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣷⠀⠙⣻⣿⣿⣿⣿⣧⠀⠀⢀⡀⣀⣴⠇⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⡇⣰⣿⣿⣿⣿⣿⣿⡄⠠⠋⠙⠉⠈⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⠀⣿⣿⣿⣏⠀⣽⣿⠇⠒⢲⣤⡀⠀⠀⢠⠀⠀⠸⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⡄⣿⣿⣿⣿⣿⢳⣿⣶⡴⣿⡿⠗⣠⡺⠀⠀ ⢠⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣇⢻⣿⣿⣿⣿⣯⢍⠉⠀⠦⠄⠚⠉⠀⠀⠀⠀⠸⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⡄⠻⣿⣿⡿⢟⣃⡙⣒⡛⠁⠀⠀⠀⠀⠀⠀⠀ ⠀⠹⣿⣿⣿⣿
⣿⣿⣿⣿⣿⡟⢀⣬⣍⣾⣿⣿⠏⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠘⣿⣿⣿
⣿⣿⣿⣿⡿⢀⡾⣫⣼⠿⠛⢁⣴⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠹⣿⣿⣿