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⢸⠀⠀⠀⠀⠀⠀⠀⠀⡇⢀⠀⠀⠀⠀⡀⠢⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀
⢳⠀⠀⠀⠀⠀⠀⠀⠀⡞⠀⠀⠀⠀⠀⠀⠀⡀⠢⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀
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⠀⠀⠀⡄⡱⠢⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡎⣄⢻⠀⠀⠀⠀⠀
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⠀⠀⠀⠀⠀⠀⠀⣄⣱⢬⠀⠀⠀⠀⠀⠀⠀⡄⠙⠀⠀⠀⠀⠇⠻⠀⠀⠀⠀⠀⠀⠇⢠⠀⠀⠀⠀⠀⢹
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⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠊⠖⡤⣤⠤⠓⠈⠀⠀⡇⣿⢿⠿⠶⠶⡤⢀⠀⠀
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⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⣿⣸⠀⢃⡰⠁⣳⣸⢇⢧⠀⠀⠀⠈⠀⠉⡀⣿⢼⡰⢧⢸⢸⣷⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢾⢀⠃⢸⠀⡌⣸⠃⢰⠁⢰⡄⢦⣶⣷⡿⠙⣰⠉⠀⡟⢁⢰⡿⠐⠀⠀
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⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⢈⠀⢱⠀⡀⠸⠇⡏⢀⠃⣾⣴⣁⣟⣹⠋⣿⣿⣿⣶⢛⡿⢰⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢧⠉⡌⠱⠀⣆⡈⣷⠛⣿⢚⠴⣀⣁⣞⣿⣿⣲⡖⣥⡿⢤⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣄⣲⠩⠈⠀⠀⠀⣷⢙⠉⠉⠖⡠⠿⢒⠁⠍⠟⣶⢀⠀⠀⠀⠀⠀
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Warning: This item may contain sensitive themes such as nudity.

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Warning: This item may contain sensitive themes such as nudity.

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⡆⣹⣿⣿⣿⣿⣿⣿⣿⣿⣿⡽⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣝⢿⣾⣟⠽⣆⡷⣻⣽⢿⢻⠀⠀⡛⣿⣯⣟⣾⢱⡿⣟⣯⡿⢯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣫⡾⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣏⢰
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⠀⠀⢧⣧⣿⣿⣿⣿⣿⣿⣿⣿⣿⡻⣷⢿⣮⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢻⣮⣿⣟⡿⢡⡿⣷⣾⢸⣶⣷⣶⢿⡘⢿⣻⣿⣵⡟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣵⡿⣽⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣼⡼⠀⠀
⠀⠀⡀⣱⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣞⣿⣞⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣝⣼⠋⣷⡿⣿⣿⢿⣿⣿⣿⡻⣮⡙⣧⣫⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣳⣿⣳⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⡖⢀⠀⠀
⠀⠀⠀⡀⡵⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡻⣯⣞⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⡞⢆⢏⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡽⠰⢣⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣹⣿⢟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢢⢀⠀⠀⠀
⠀⠀⠀⠀⡀⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢮⠡⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⠉⡬⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡫⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢲⢀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⣇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢰⢋⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⠘⣆⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣰⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⣆⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣼⠟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠹⣆⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣰⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⡄⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣱⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠻⣎⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⢠⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⣦⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⢯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡝⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣴⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣄⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣳⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣮⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣦⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣵⢟⣿⣿⣿⣿⣿⣿⣾⣴⣯⣋⢗⠟⡽⠿⣻⣽⡿⢳⠽⡻⣛⣭⣮⣷⣿⣿⣿⣿⣿⣿⡻⣮⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⣦⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣴⣙⡿⣟⢾⣽⣿⢯⣻⣽⡿⣟⣻⣽⣻⣽⡿⢷⣯⢾⣙⣮⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣴⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⣄⣮⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣴⢟⣷⣯⣟⡶⣽⣭⣿⣛⣛⣛⣛⣛⣛⣛⣛⣿⣭⣯⣳⣿⣻⢾⡙⣧⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣵⣠⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⢤⣓⣭⣶⣿⣿⣾⣽⣟⣿⣿⣿⣿⣿⣿⣿⣿⣱⡯⡿⣵⣻⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⣝⣾⣿⠻⣇⣿⣿⣿⣿⣿⣿⣿⣿⣻⣮⣷⣿⣿⣶⣭⣞⡤⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠃⣀⣧⠛⢗⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣼⠷⣾⢯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣝⡷⢹⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⡿⡋⣼⣀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡍⠢⠀⠀⣧⡟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢳⣿⢏⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡼⣿⡟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⢀⠀⠧⢂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠊⢑⢨⠀⠀⡆⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡃⢹⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⡳⣯⣿⣿⣿⣿⣿⣿⣿⡇⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢰⠀⠀⠃⣡⠰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢂⡁⠀⠀⠀⠀⣧⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⣿⣿⣿⣿⣿⣿⣿⣿⣿⢏⣿⣿⣿⣿⣿⣿⣿⣿⡹⢱⣿⣿⣿⣿⣿⣿⣿⡾⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣼⠀⠀⠀⠀⡀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢡⠠⠐⠀⠌⠀⡀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⢿⣧⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢠⠀⠁⠀⠂⡀⠔⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠘⠀⡘⡌⠁⠀⠌⠀⠀⣇⣿⣿⣿⣿⣿⣿⣿⣿⣿⢻⡇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣸⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣸⠀⠀⠡⠀⠃⢀⡙⠀⠀⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⠣⠀⡓⢄⡹⠀⢏⠀⠀⡀⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣼⢀⠀⠀⡱⠀⢚⣌⠓⠀⡤⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠬⠘⠥⣊⠔⠣⢃⢡⠀⠀⠀⠦⠽⣾⣛⣓⣽⣭⣾⣷⣿⡎⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⢈⡡⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢳⣿⣾⣷⣭⣭⣛⣞⣻⠿⠴⠀⠀⠀⠃⢡⡴⠎⣃⠤⠃⣡⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⠲⡉⠖⣉⠤⡘⡱⠀⠀⠀⠀⣆⣽⣻⣽⡾⣟⣳⣻⠷⢛⣥⣷⣿⣿⣿⣿⣿⣿⣿⣿⢧⢸⡇⡼⣿⣿⣿⣿⣿⣿⣿⣿⣶⣨⡛⠷⣯⣟⢯⣷⡽⢯⣿⣰⠀⠀⠀⠀⠊⡱⡌⢂⢡⢢⡘⠰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢣⢄⡸⠓⢆⡌⡘⠰⠀⠀⠀⠁⡍⣮⡶⣖⣻⣽⣻⣷⣼⠸⢾⡻⣭⣷⣿⣿⣿⣿⣿⡼⢸⡇⢇⣿⣿⣿⣿⣿⣾⣮⢟⣷⡃⣾⣽⣻⢿⣾⣶⡶⣴⢉⠉⠀⠀⠀⠄⢎⠣⢇⢈⡱⢎⡌⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⣡⡜⠢⢡⢊⠟⠽⣾⡿⣟⣯⡿⣟⣯⣷⢟⡻⣓⣬⣷⢱⣯⣞⡿⢯⣝⣷⣿⣿⣿⣿⢏⣱⣿⣿⣿⣿⣾⣪⡻⣿⣳⣿⡇⣴⣭⣋⠗⠟⣾⣟⣾⣟⡽⣾⣻⣷⢽⠻⢛⠡⣄⠲⢎⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢁⠟⡞⢿⣯⢷⣻⣿⣵⡾⣻⢾⣻⣷⣭⡷⣞⣽⣾⢻⡻⣌⣧⢿⣷⢯⢷⣝⣿⣿⣿⢻⡿⣿⣿⣾⣫⡟⣯⢷⣻⣾⣡⢏⡟⡾⣽⣾⡿⣟⢷⣯⢶⣻⣶⣽⣿⡿⣯⡷⣽⢿⠻⢈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠗⣽⡿⣝⢾⣻⣽⣻⡽⣻⣽⢿⣧⣞⣻⣼⣻⣷⣟⣯⢷⣾⣟⢯⡝⣧⣻⣽⡾⡻⣯⣿⣿⣿⣿⣵⢞⣽⡿⣟⣼⢫⡽⣾⣟⡽⣿⣟⣯⢷⣮⡽⣳⣿⣏⣽⡿⢯⡾⣟⣯⡷⣞⡿⣯⠹⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠃⣟⣿⣏⡾⣛⣽⢿⣯⡿⣯⣟⡿⣗⣽⣭⢿⣿⣭⣯⡾⣷⣻⣿⣟⣯⡿⢯⡜⣧⡿⣟⢭⣞⣿⣿⣣⡻⣿⣳⢾⣣⡞⡿⣟⣯⣳⣽⡿⢶⣿⣭⣭⣭⣭⡿⣖⡿⣟⢯⣿⢯⣻⣷⣞⢯⣷⡟⣯⠘⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠏⣯⣟⡿⢶⣬⢭⣦⡶⢿⣷⣫⢟⡿⣿⣿⣿⣿⣿⣿⣿⣿⢿⡻⣝⢷⣿⢯⣽⢾⡻⣄⢿⣻⣽⡽⢏⣯⣞⡿⣴⢍⢿⣯⢷⣻⣾⣽⣟⡿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣻⣝⢾⣿⡶⣴⣬⣥⣶⡽⢿⣯⠘⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠃⣟⣾⣠⠑⣌⠒⢊⢠⢋⠓⣝⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡻⣮⣟⣾⣟⢫⡌⣷⡽⢿⣻⣷⣟⣱⡗⣯⡷⣟⣾⣫⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣩⠻⢁⢢⢍⡠⠜⡘⣌⣷⣯⠘⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡟⣾⢉⡔⠣⣁⠲⢁⡽⢷⣯⡷⡛⣧⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡻⣷⣻⢷⢻⡀⣷⡿⣟⣾⣁⡏⣾⣟⣾⣫⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣼⣛⣗⡻⣶⢟⠘⣢⠔⡘⢘⡡⣳⢿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠆⣿⢄⠒⣌⠩⣐⠎⡿⣎⣹⢿⣯⡵⢻⣧⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣞⣻⣽⢻⠀⣆⣰⠀⡻⣷⣟⣵⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣼⠯⣺⣽⡻⣷⣝⡾⠹⢣⡄⡔⠘⡠⣿⠘⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⣸⡑⢢⢄⡂⡀⣄⢳⣯⣞⠽⣻⣶⡽⣹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡽⣳⣿⢹⡁⢀⡎⣟⣿⣣⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⡇⢟⣮⣟⡳⣽⡾⣟⣠⢀⣀⠤⡑⢨⣇⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⢾⡀⠝⠯⢷⣫⠽⡸⢷⢯⣽⡟⣯⡶⣟⡇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡽⢿⣿⠈⠂⣟⣿⢣⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢹⣻⢯⣯⢳⣽⡾⣞⢃⠯⣯⣞⢻⠳⠄⡇⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⢺⢄⡿⡈⣳⢶⣽⡾⠘⣽⡽⢯⣳⣼⣻⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡜⡿⢸⡍⣿⢣⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠆⣹⢿⣳⣽⡾⣟⢡⢾⣹⢷⣯⢁⣾⡐⡇⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡂⢸⢸⣣⢷⡃⣼⣞⢞⢸⡼⡯⣟⣭⡿⢧⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣏⢺⣗⣹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣞⡽⣳⡽⢾⣟⠁⣫⣻⣧⠀⡟⣭⡃⠇⢰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣷⣋⡜⣳⡝⢹⣷⣎⠏⣹⢾⡽⣞⡽⣳⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢹⣿⣏⡏⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⣯⣖⣹⡿⣗⡯⢸⡱⣿⡋⢽⡾⢃⣹⡞⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡆⢻⣥⠿⣉⡿⢋⠳⣽⠾⣵⡻⣶⣟⣯⡏⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡎⢱⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣸⣻⣵⣞⡽⣺⢷⣯⢞⡚⢯⣑⠚⡼⡟⢰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣧⣻⢧⣯⠷⣫⣼⡿⣞⡜⡻⣽⡷⢣⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⡇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡞⣞⣫⢿⢪⣫⢷⣯⣞⢯⣳⣽⣟⣸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣧⢿⢝⣳⢾⣏⢳⣽⣞⡳⣮⢿⣮⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣳⡿⣵⢞⣟⣭⡾⢟⣯⣞⣫⡿⣼⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣦⣿⢿⣻⣽⣭⡭⣯⣟⡿⡿⣝⣏⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣹⣻⣿⢿⣛⢽⣭⣭⣫⢟⡿⣿⣴⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣆⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣹⣟⣮⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣆⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡽⣷⢿⣝⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣫⡿⣾⢟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⣦⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⣷⡽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢹⡇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢯⣷⣫⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣴⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⣦⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⡼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡃⣮⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣼⣿⢿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⣿⡻⣮⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣿⣿⡼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣴⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣧⣿⣿⠻⣌⣦⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣴⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣃⣋⣓⣽⠲⠤⢀⣥⣨⣅⣥⣮⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣡⠘⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣦⣿⣿⣿⣿⣾⣶⣽⣭⠮⣆⡻⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢠⡲⡕⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⠌⠷⠿⣿⣿⣿⣿⣿⠹⡎⡹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣸⡞⣟⠳⢈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠃⣯⣵⠇⣛⣽⣭⣽⣭⣉⢛⠛⣘⡇⣿⣿⣿⣿⣿⣾⣫⣏⣳⣝⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢃⣽⣻⣼⡿⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⡞⣻⣾⢹⣜⣾⣶⣿⣾⣶⣽⣯⢹⡀⣿⣿⣿⣶⣬⢛⢿⣷⣯⣟⡸⣯⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣞⡻⣽⢿⢯⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⡟⣯⢷⣯⣟⣯⡘⣷⢿⣿⣿⣟⣿⣿⠀⣦⣫⢟⣯⣟⣯⡿⣯⣟⢯⣽⣿⢯⡺⣝⣷⣿⣿⣿⣿⣿⣿⣿⣿⡧⣏⢷⣽⡾⣟⢳⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠷⣻⣽⣻⢿⣳⣽⠻⢧⣟⣮⣷⣿⣿⣿⠀⠝⣻⢿⣶⡿⣞⢿⣷⢯⣷⡾⣻⢿⣷⣯⡹⣧⣿⣿⣿⣿⣿⣿⢾⡇⣻⣽⡾⣟⣳⣾⢟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡛⣷⡾⣟⢯⡽⣾⡽⣿⠇⣇⣭⢿⡻⣝⣪⡄⣤⣤⡶⣽⢾⣽⣻⣿⣟⣻⣿⣯⡿⣶⣤⣤⢤⣦⣿⣿⣿⣿⣿⢸⣟⡾⣟⣭⣻⣷⣟⣯⢳⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡝⡿⣳⣽⢾⣟⡯⢷⣻⣾⡙⡁⣤⣶⣾⣷⢰⠀⠀⠀⠀⡇⣿⣴⣨⣀⣐⣅⢦⣿⣸⠀⠀⠀⠀⠀⣆⣿⣿⣿⣿⢸⠷⣯⢷⣯⡟⣯⡽⣻⣽⢻⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡏⡿⣳⣾⡿⣗⢯⣳⣼⠿⣸⣿⠑⣩⠦⠄⠲⡀⠀⠀⠀⠀⡂⠀⢉⠟⡿⢿⠻⡉⠄⢈⠀⠀⠀⠀⠀⠀⣔⣿⣿⣿⣿⢧⣭⣻⢷⢯⣽⡿⣟⡷⣯⠹⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠋⢿⣯⣷⣞⣻⣽⡾⣟⣯⡿⢳⣿⡇⣿⣿⣿⣿⡟⠀⠀⠀⠁⠟⡿⣿⣿⣿⣿⣿⣿⢿⠛⠈⠀⠀⠀⠀⡁⢢⡑⣦⣿⣿⡍⣯⡽⣻⢷⣻⢿⣷⣯⢷⣯⠹⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠃⣟⡷⣽⣻⣭⢷⣯⣽⣻⢷⣿⡆⣠⡇⣿⣿⣿⣸⣼⠀⠁⠟⣿⣿⣿⢿⣛⣛⣛⣛⣿⣿⣿⣿⠻⠈⠀⠀⠃⣌⠳⢌⡱⣬⢱⢯⣷⡽⣿⣞⡿⣤⣻⣷⢯⣿⠘⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡼⡟⡧⡟⢣⡆⡼⢻⣧⣏⡧⢸⠀⠀⡏⣿⣿⣿⢸⢸⠀⡟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢻⠀⠀⠁⠄⠂⠄⠐⠀⠀⡆⡿⡗⣉⢼⣿⠘⡜⡼⣹⢺⢿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡙⣼⢺⣿⢡⢱⢏⣧⡟⣏⢣⣾⠀⠀⠀⣿⣿⣿⣿⣷⢸⡟⣿⣿⣿⣿⣿⣿⣿⣹⣏⣿⣿⣿⣿⣿⣿⣿⢸⠢⠈⠄⠊⠀⠐⠀⠀⠀⣧⡱⡞⣏⢣⣷⠎⡎⢺⢿⣧⢋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⣹⣿⢏⣼⡸⡜⡟⢻⣧⡜⣿⢀⠀⠀⠁⡀⣌⣤⣧⡤⠁⣌⠋⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣼⣧⠘⣤⠡⠃⢁⡘⠈⠀⠀⡀⡿⢏⢣⣹⡿⢣⢣⢧⢻⣿⢣⠸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣯⡽⣿⢦⢏⣾⣟⡽⣻⣷⣸⠀⠀⠀⠊⡑⢀⠁⠟⡿⣼⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡝⠷⡙⠡⠳⡨⠖⢈⠀⠀⠀⣆⣻⣽⡾⣟⣾⡹⡶⡷⣟⣾⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡏⡽⢾⣻⣽⠾⡿⣯⣳⣾⡟⣼⠀⠀⠂⡅⢋⡼⠋⣿⣿⣼⡞⣯⠿⠼⠔⠢⣧⣷⣶⣦⣷⣿⣾⣼⠔⠢⠦⠿⣝⠰⣿⢿⡘⣷⠹⢐⡄⠈⠀⠀⣧⣟⣽⢿⣯⣽⠾⣿⢯⣷⣞⢹⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⣧⣟⣯⣟⡷⣯⢿⣷⣯⢷⣾⢀⠀⠀⠋⣿⣿⢋⣿⣿⣻⢑⠑⠈⠀⠀⠉⠂⠉⣱⡁⡿⢿⣙⢦⠀⠐⠉⠀⠀⠁⠈⠉⣟⢯⡘⣿⠸⠇⢸⠀⠀⠀⣧⡿⣟⢯⣻⣷⢯⣻⣾⣟⣼⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⡇⢯⣾⣟⣻⣿⡷⣻⣽⣿⢠⠀⠀⠀⣿⣿⢹⣿⣿⣿⣿⡇⢿⢘⡿⢾⡥⣛⠼⡼⡟⣿⣿⣿⢿⠈⡘⢮⡷⣿⣞⢟⢸⡿⣿⢿⡇⣿⡇⢸⠀⠀⠀⡀⢿⣽⢿⣯⣽⣻⢿⣷⣟⢸⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡇⣻⣽⢿⣯⡽⣿⡷⣟⣸⠀⠀⠀⠀⣇⣿⡇⣿⣿⣿⣼⣷⣿⣶⡉⡷⣿⣿⣇⢹⣿⣿⣿⣿⣿⣿⡟⡎⢿⣜⡖⣿⢸⣿⣿⣿⡼⣿⡇⠸⠀⠀⠀⠀⣇⡿⣟⢾⣻⣽⡾⣻⣿⢸⢿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⣼⢯⡾⣟⡯⢷⣽⣻⣾⢟⢠⠀⠀⠀⠀⡄⣿⡿⣿⣿⣿⣿⡇⢏⣿⣿⠹⣦⣸⣿⣟⣿⣿⣿⣿⣿⣿⣿⢸⣴⠏⣿⡿⢸⣷⣿⣿⢻⣿⡏⢰⠀⠀⠀⠀⠀⡻⢷⣯⢾⣻⣷⣟⢯⣷⣧⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⢸⢿⣯⢶⣻⣽⡿⣼⡟⣿⠀⠀⠀⠀⠀⠀⣧⣿⣿⣿⣿⣿⡇⣿⣿⣿⣿⠹⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠣⣿⣿⣿⢸⣿⣿⣿⣿⣿⣾⠀⠀⠀⠀⠀⠀⣿⣻⣧⣟⢯⣽⡾⣞⣿⡏⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⡇⢿⣫⣽⢾⣻⣾⡟⣿⣸⠀⠀⠀⠀⠀⠀⡀⣷⣿⣿⣿⣿⡸⣿⣿⣿⣿⣿⡸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⡇⣿⣿⣿⣦⣿⣿⣿⣿⣿⢠⠀⠀⠀⠀⠀⠀⣧⣿⣻⣳⢾⣻⣷⣞⢯⢹⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⣾⡽⢾⣻⣽⣿⢏⣿⣿⢹⠊⠛⠉⠉⠉⠀⠀⡄⣠⣃⣙⣁⢤⣇⣿⣿⣿⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⣿⣿⣿⣼⡟⣿⣿⣿⣿⢰⠀⠀⠉⠉⠋⠉⠛⡇⣿⣿⡼⣿⣞⣻⣽⢾⣿⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡟⣯⣞⣿⢯⣿⢧⣿⣿⣿⢃⣽⢿⣯⣛⣽⣻⣿⠰⡻⣧⣿⣿⡿⠙⣄⣿⣿⣿⢻⣧⣿⣿⣿⣿⣿⣿⣿⣿⢳⣿⣿⣿⢇⣿⣿⣿⣿⣰⠏⡻⣽⡿⣟⢯⣻⣷⣼⣿⣿⣿⡜⣿⣟⣯⣟⣽⢻⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢯⣷⣟⢾⣿⢫⣿⣿⣿⢳⣭⣻⣛⣛⣛⣛⣛⣛⡼⢿⣻⣥⣾⣭⣒⣛⡇⣿⣿⣿⡎⣿⣿⣿⣿⣿⣿⣿⣾⡟⣿⣿⢣⣿⣿⣿⣾⣫⢧⣿⣛⣛⣛⣛⣛⣛⣿⢯⣞⣿⣿⣿⡜⣻⢷⣻⣽⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣽⣾⡿⣞⢯⣿⣿⣿⣳⣿⣿⣿⣿⣿⣿⣿⣿⣿⢀⣄⡷⣯⣝⣻⣿⣴⡙⣷⣿⣿⢻⣷⣿⣿⣿⣿⣿⣾⢏⣿⣾⢣⣿⣿⣿⣼⢟⣳⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣞⣿⣿⣿⡽⣷⡾⣽⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡷⣿⣵⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢶⠠⢀⣂⣬⡤⣠⡿⣿⠻⣮⣿⣿⡻⣿⣿⣿⣿⣿⢟⣿⣴⢟⣿⣿⣾⣫⡿⢠⣄⣤⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡻⣮⣿⡎⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠆⠷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣤⣀⠀⠀⠀⠀⠀⢄⠓⠿⣝⣷⣿⣿⡻⣽⣾⣶⣶⣶⣶⣶⣭⢟⣿⣿⣾⣫⡿⣾⢀⠀⠀⠀⠀⠀⣀⣤⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠾⠰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⣀⣀⣤⣤⣤⣤⣤⣠⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣄⣷⢿⡻⣭⣶⣿⣿⣿⣶⣶⣿⣿⣿⣶⣭⣛⡿⣾⣠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣄⣤⣤⣤⣤⣤⣀⣀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣄⣦⣷⣿⢿⠿⡿⣿⣿⢿⠿⡿⣿⣶⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⢀⡀⣀⣀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀