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⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡜⢣
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠎⡴⢦⠱
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⢎⣜⣉⣉⣧⡱⡄
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⢃⡞⠒⣒⣒⠒⢳⡘⣄
⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⢡⣎⡩⠭⠤⠤⠭⢍⣱⡜⣆
⠀⠀⠀⠀⠀⠀⠀⠀⡴⢡⡯⠴⢒⣈⣩⣉⣑⡒⠠⣹⡌⢦
⠀⠀⠀⠀⠀⠀⠀⡔⣡⣣⠔⡺⡋⡁⢀⡀⢈⠙⢟⠢⣝⣄⢢
⠀⠀⠀⠀⠀⢀⡜⣰⡟⠁⢰⡓⢎⣀⣸⣿⣷⡱⢚⡆⠈⢻⣆⢣⡀
⠀⠀⠀⠀⢀⠎⡼⣇⠣⡀⠸⡄⢊⢿⣿⣿⡿⡑⢠⠇⢀⠜⣸⢧⠱⡀
⠀⠀⠀⢠⢋⢼⡙⢌⠳⣍⠲⢽⣄⣁⠂⠐⣈⣠⡯⠔⣡⠞⡡⢊⣧⡙⡄
⠀⠀⣠⢃⣞⠣⡙⠦⡑⠦⣍⡒⠤⠬⠭⠭⠥⠤⢒⣩⠴⢊⠴⢋⠜⣳⡘⣄
⠀⣰⣃⣛⣚⣓⣚⣓⣚⣓⣒⣛⣛⣓⣒⣒⣚⣛⣛⣒⣚⣓⣚⣓⣚⣒⣛⣘⣆

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⠀⠀⣠⠊⠀⠀⡴⠚⡩⠟⠓⠒⡖⠲⡄⠀⠀⠈⡆
⠀⠀⠀⠀⢀⡞⠁⢠⠒⠾⢥⣀⣇⣚⣹⡤⡟⠀⡇⢠⠀⢠⠇
⠀⠀⠀⠀⢸⣄⣀⠀⡇⠀⠀⠀⠀⠀⢀⡜⠁⣸⢠⠎⣰⣃
⠀⠀⠀⠸⡍⠀⠉⠉⠛⠦⣄⠀⢀⡴⣫⠴⠋⢹⡏⡼⠁⠈⠙⢦⡀
⠀⠀⠀⣀⡽⣄⠀⠀⠀⠀⠈⠙⠻⣎⡁⠀⠀⣸⡾⠀⠀⠀⠀⣀⡹⠂
⠀⢀⡞⠁⠀⠈⢣⡀⠀⠀⠀⠀⠀⠀⠉⠓⠶⢟⠀⢀⡤⠖⠋⠁
⠀⠀⠉⠙⠒⠦⡀⠙⠦⣀⠀⠀⠀⠀⠀⠀⢀⣴⡷⠋
⠀⠀⠀⠀⠀⠀⠘⢦⣀⠈⠓⣦⣤⣤⣤⢶⡟⠁
⢤⣤⣤⡤⠤⠤⠤⠤⣌⡉⠉⠁⠀⠀⢸⢸⠁⡠⠖⠒⠒⢒⣒⡶⣶⠤
⠀⠉⠲⣍⠓⠦⣄⠀⠀⠙⣆⠀⠀⠀⡞⡼⡼⢀⣠⠴⠊⢉⡤⠚⠁
⠀⠀⠀⠈⠳⣄⠈⠙⢦⡀⢸⡀⠀⢰⢣⡧⠷⣯⣤⠤⠚⠉
⠀⠀⠀⠀⠀⠈⠑⣲⠤⠬⠿⠧⣠⢏⡞
⠀⠀⠀⢀⡴⠚⠉⠉⢉⣳⣄⣠⠏⡞

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

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⡤⠄⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣶⢿⣿⡇⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠼⣿⣧⣸⣿⣧⣤⣀⡀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⣿⣿⣿⣷⡀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⣿⣿⣿⣷
⠀⠀⠀⠀⠀⢀⡀⣠⣤⣦⣴⣿⣿⣿⣿⠛⠉⠁
⠀⠀⠀⠀⠀⣿⣿⣿⢿⠿⣿⣿⣿⣿⡏⠀⠀⠀
⠀⠀⠀⠀⣸⣿⣿⡟⠀⠀⠀⠈⢿⣿⣿⠂⠀⠀
⣠⣄⣶⣤⣿⠋⠀⠀⠀⠀⠀⠀⣼⣿⡟⠀⠀⠀
⠉⠛⠿⢿⠃⠀⠀⠀⠀⠀⠀⣠⣿⣿⡄⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⠋⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⠃⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣇⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠋⠀⠀⠀