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⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣷⣄⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣾⣿⣿⣿⣷⣤⣀⠀⠀⣀ ⠀⠀⠀⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣆⠀⢀⣿⣿⠟⣿⣿⣿⣿⣿⣿⠇ ⠀⠀⠀⢻⣿⣿⣿⣿⣷⣶⣶⣶⣿⣿⣿⣿⣿⣿⣿⠿⡟⠋⢀⣹⡟⢉⠆⣸⣿⠀ ⠀⠀⠀⠸⣿⡿⠋⢁⣀⣀⣿⣿⡿⣿⡿⠋⢁⣸⠀⢠⡿⠀⢸⡟⠀⢨⡾⣿⣧⠀ ⠀⠀⠀⠀⣿⡇⠀⠘⢿⣿⠉⢰⡄⢸⡇⢀⣿⡿⠀⣼⡇⢀⣾⣿⣦⣤⣾⣿⣿⡀ ⠀⠀⠀⣸⣿⣷⣤⠀⠈⣿⠀⡾⢀⣼⠇⣸⣿⣧⣶⣿⣿⣿⡿⠿⠿⠛⠛⠛⠻⠧ ⠀⠀⣰⣿⠟⠿⠟⠀⣼⡇⠀⣷⣿⣿⣿⣿⡿⠟⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢀⣴⣿⣿⣀⣠⣴⣾⣿⣥⣼⣿⣿⡿⠟⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠈⠉⠙⠻⠿⣿⣿⣿⣿⣿⣿⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠉⠻⣿⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡤⠤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠈⠂⢀⠉⠢⢄⠀⠀⢠⣾⡶⡾⠁⢀⣠⣠⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠸⡋⠍⣉⠁⠒⠣⠤⣀⢉⠐⠄⡑⢦⡹⣿⣿⣴⣿⣿⣿⣿⠏⠀⠀⠀⣠⣴⣺⣅⡀⣀⠀⠀⠀⢀⣠⠀ ⠀⠀⠀⠀⠀⠑⢄⠀⠈⠑⢄⠒⠂⠬⢱⡒⠬⣣⠙⢆⠸⣿⣿⣿⣿⣿⣦⠀⢀⣾⠏⠀⠀⠀⠀⠀⠰⠀⠀⢈⡻⠁ ⠀⠀⠀⠀⠀⠀⠈⠳⡒⠂⠠⢬⠐⠂⠠⠥⢢⣈⠑⠤⡳⡙⢿⣿⣿⣿⡿⢀⣾⡟⠀⠀⠀⠀⠀⠀⢀⠐⢃⠀⣀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠈⠲⣈⠁⠈⠀⢒⠒⠦⠤⠩⠶⢌⣳⣸⣿⣿⣡⣴⣿⠟⠀⠀⠀⠀⠸⠆⠀⠙⠁⠈⠈⠉⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢶⣄⡉⠁⠚⠒⢒⣲⣦⣤⣶⣿⢿⣿⣿⣿⣿⡟⠁⠀⠀⠀⠀⣦⠀⠘⠂⠐⠂⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠻⠶⠶⢿⠿⣛⠿⣫⢟⠃⡜⣿⣿⣿⣿⠃⢠⠀⠠⠆⣀⠀⠸⠂⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡠⢒⠡⡮⡪⢋⢂⠎⣤⠁⣿⣿⣿⠃⠀⠀⠀⠀⠀⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠣⠥⡜⡠⠑⡙⢋⣠⣧⣾⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣔⡠⠔⠓⣹⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢀⣠⣶⣤⣠⣤⣤⣤⣤⣄⣀⠀⣠⣿⣿⣿⢿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠴⠛⠋⠉⠉⠉⠉⠛⠛⣻⣿⣿⣿⣿⡿⠛⠁⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠀⣠⣴⣿⣿⠿⠟⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⠟⠋⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢰⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⢠⣶⣶⣶⣶⣦⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢸⣟⣿⣿⣿⣻⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠉⡏⣿⠻⡟⡇⠁⠀⠀⠀⠀ ⠀⠀⠀⠀⢠⡇⡇⠀⣧⢳⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣾⢠⡇⠀⢻⡘⣧⠀⠀⠀⠀ ⠀⠀⠀⣼⡏⢸⠀⠀⠀⡇⠹⣆⠀⠀⠀ ⠀⠀⣸⠋⠀⠟⠀⠀⠀⢳⠀⠻⣆⠀⠀ ⠀⣼⡋⠉⠉⠉⠉⠉⠉⠉⡍⠉⢽⣆⠀ ⠀⣃⣁⣀⣀⣀⣀⣀⣀⣀⣘⣀⣐⣻⠀ ⠀⠟⣉⢹⣇⣉⢩⣍⣼⡏⢹⡿⣻⣿⡀ ⠑⡄⢻⡞⢨⡉⢻⢙⣭⢉⣯⢡⡽⢹⠆ ⠰⡷⢀⠃⣼⢠⠇⣼⡏⣸⠇⣸⠁⢾⠦ ⠀⣴⡞⢰⠗⢻⢶⠟⠒⠛⠲⡏⠓⢶⠂ ⠀⡏⠓⣟⣛⣻⣞⣻⣛⣛⣛⡃⠀⣸⠀ ⠀⣗⠒⠓⠒⠒⠒⠛⠒⠛⠛⠃⣐⣻⠀ ⠀⣿⠀⠀⠐⠈⠀⠀⠀⠀⠀⠈⢁⣿⠀ ⠀⢹⡇⠀⠠⠐⠀⠀⠀⠄⠀⠘⢉⡇⠀ ⠀⠘⡗⠀⠠⠐⠀⠀⠀⠀⠀⠘⢹⡇⠀ ⠀⠀⣿⠀⠠⣔⠀⠀⠀⠅⠠⠉⣹⡀⠀ ⠀⢠⡇⡇⠠⢌⠀⠀⠀⠄⢲⠐⢾⣇⠀ ⠀⡞⢸⠁⢘⠊⠀⠀⠀⠀⠘⡄⠑⢿⡄ ⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠀⠈⡇ ⠀⣧⢀⣀⠀⠀⣠⣶⣶⡤⠀⠀⠀⢸⠃ ⠀⠸⣇⣙⣧⣭⣉⣻⣽⣥⣤⣞⣻⡏⠀ ⠀⠀⠀⠀⡀⡀⠉⠙⠋⠀⠀⠀⠀⠀⠀
pls note the ai inflicts emotional damage (ᵕ—ᴗ—)
AI Story Generator
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⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣀⣀⣤⣤⣤⣤⣀⡀⠀⠀⠀⠀⠀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣄⠀⠈⡗⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠘⣶⣿⣿⣿⣿⣿⣿⣿⠟⠛⠉⠉⠙⠛⠛⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣸⣿⣿⣿⣿⣿⡿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠈⠉⠉⢿⣿⣿⣷⣤⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢀⠀⠀⠀⠹⣿⣿⣿⣿⣿⣿⣷⣄⠀⠀⠀⠀⠀⣤⣤⣄⡀⠀⠀⠀⠀⠀ ⠀⢀⣸⣧⠀⠀⢀⣹⣿⣿⣿⣿⣷⠹⣿⣧⡀⠀⠀⢠⣿⣿⣿⣿⣿⣶⣶⣄⠀ ⠀⠀⠹⠛⠿⠿⠟⠛⢿⣿⣿⣿⣿⣷⣮⣿⣿⣷⣤⣿⣿⡿⠋⠉⠛⠛⠿⢿⣧ ⠀⠀⠀⠀⠀⠀⠀⠀⢾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠉⠀⠀⠀⠀⠀⠀⣸⡏ ⠀⠀⠀⠀⠀⠀⠀⠀⠚⠻⣿⣿⡿⠈⠛⠻⢿⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢠⠀⠀⠀⢠⣿⣿⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢸⣧⣀⣠⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠻⢿⣿⡿⠿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠷⣤⣄⣤⠤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢈⣿⢿⣙⡦⣀⠀⠀⠀⢀⣠⡤⢄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠛⢶⣦⣤⣾⠿⢯⠈⢨⠟⢳⣦⣴⡿⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢈⣿⣿⣿⣼⣾⣿⣿⣿⣾⢿⣿⣷⡂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣲⣿⣿⣿⣿⡏⢛⢋⣙⣻⣙⣿⢻⣿⣟⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢙⣿⣵⣿⣷⣯⡺⠿⣺⣿⣿⣷⣿⣏⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠙⣏⢳⡍⠋⠻⢻⠋⡏⡏⡏⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡴⣄ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⠸⣞⣆⣐⣻⣱⣿⢁⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡱⡟ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡃⢿⣿⣿⣿⣿⣿⢰⣴⡢⠤⠒⢒⣊⣑⣢⡄⠀⠀⠀⠀⠀⠀⣠⠎⣼⡇ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡀⠤⠤⠤⢼⣿⠘⣿⣿⣿⣿⣿⣾⣿⣷⣶⡾⠟⠁⠻⣿⣈⣳⣄⣀⠀⠀⡴⣵⡿⠛⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⢡⣣⣤⣤⣴⣴⣾⣿⣿⡆⣿⣿⣿⣿⣿⣿⠟⠋⠀⠀⠀⠀⠀⠀⠈⠑⠣⣿⣿⣋⢠⡿⠁⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⡹⢿⡿⠀⠀⠈⠉⠁⠀⠈⣿⡏⠁⠀⠀⣸⣻⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⢧⡿⠃⠀⠀⠀ ⣶⠦⠀⠀⠀⠀⠀⠀⣰⣡⣾⠁⠀⠀⠀⠀⠀⢀⣸⣽⣿⣿⣿⣿⣿⣿⣻⣆⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠘⢷⡦⢄⡀⣀⣀⣴⣯⡽⠀⠀⠀⠀⠀⠀⣠⣾⣿⣿⣿⣯⣿⣿⣿⣿⣿⣿⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠈⠛⠿⠷⠶⠶⣦⣿⡅⠀⠀⠀⠀⠀⣴⣿⠟⠿⣟⢹⡿⠉⠀⢛⣿⣿⣿⣿⣯⣽⣷⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠉⠀⠀⠀⠀⣠⣮⢁⣶⠦⠶⠯⠁⠀⠀⠀⠘⠞⠀⠿⠉⠉⠛⠿⠿⣿⣷⣶⣄⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡠⠊⠁⠀⠈⠉⠀⠀⠀⡄⠀⠀⠀⠀⠀⠀⠀⠈⣦⡀⣀⡀⠀⠀⡈⣫⣿⣯⡍⡲⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢀⡠⠔⠏⠁⠀⠀⠀⠀⢀⡠⢀⢜⠁⠀⠀⠀⠀⠀⡀⠀⡈⢯⣿⣌⢷⢦⠹⠿⣌⡷⠵⠋⠁⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢠⣯⠀⢀⡄⣀⣀⠀⣠⣾⡿⡴⣿⡁⠀⠀⠀⢄⠻⠯⠁⠸⠇⣧⣈⣿⣷⠶⠚⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢠⣻⣫⡾⠛⠛⢫⠞⠘⠛⣘⡼⠬⠿⠃⠀⡄⠀⠈⣧⣄⣾⣿⣾⣿⣿⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠉⠁⠋⠛⠉⠛⠛⠻⠷⢿⣷⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠙⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⡴⠴⠒⠒⠊⣽⣿⠟⣷⡿⠀⣤⣿⡟⠀⢀⣇⡇⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⠏⢀⠀⠀⣀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠉⠉ ⠀⠀⠤⠤⠤⠤⠤⠤⠤⠤⠔⠒⠛⠉⠀⠀⠀⠀⠀⣾⣿⡿⣸⣿⠃⣀⣿⠿⠷⣖⡚⠛⢷⡒⠸⠿⣿⡉⠉⠁⠀⠀⠀⠁⠀⠀⠀⢠⠃⠀⠀⣠⡾⠁⠀⠀⣀⣀⡀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣾⣿⠻⣇⢿⣾⣿⡿⢻⡷⣄⠀⠉⠳⢄⠙⢦⡀⠈⠻⡑⠦⣤⣤⣤⣴⣤⣶⣴⠧⠀⣠⣿⣿⣷⣣⣶⣿⣿⣻⣿⣆⠀⢀⣀⣀⢀ ⠀⠀⣀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣤⣶⣶⠯⠓⢻⣿⠀⣻⣿⠏⣾⠃⡿⠘⢎⢢⡀⠀⠀⠳⢤⡝⣄⠈⡻⡄⠈⣿⣿⣿⣿⡿⠃⠀⣼⣿⣿⣿⣿⠁⣸⣷⣷⣿⡞⢻⣦⣿⣿⣿⠏ ⠀⠀⠸⣦⢀⣀⣀⡤⠴⢶⣊⡩⠶⠛⠉⣅⣠⠶⠚⣛⣷⣿⡿⣼⠟⠀⠃⠀⠈⢆⠱⡀⠀⠀⠀⠱⣈⢧⠀⣇⠀⢸⢾⣿⡴⠥⣀⣰⣫⣾⣿⣿⣿⣴⣿⣫⣿⠿⢛⣽⣿⣿⣿⡿⡤ ⣀⣤⠀⢬⡿⡅⠀⠀⠛⠉⢁⣀⡤⠴⠚⢉⣠⣴⣿⣽⣿⡗⡇⢻⡀⠀⢀⠀⠀⢸⣄⣿⡤⠶⠒⠒⠛⠚⠲⠼⣄⣼⣼⠈⣇⢰⣽⡿⣟⣿⣿⠁⣹⠿⢚⣉⠤⣶⣿⣿⣿⣿⣟⡃⠀ ⣿⢿⣷⡔⡈⡿⣤⠖⠚⠉⠁⣀⣤⣴⣿⣭⣞⡯⣾⡯⢸⣿⣇⢸⠃⠀⠛⣄⣤⠿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⢿⣆⡾⣽⣿⣏⣾⣿⡛⠉⠐⠺⠉⠈⣯⣿⣿⣿⣿⣿⠏⠀⠀ ⣿⣆⢛⣷⣮⢫⠈⣶⡒⣾⣯⠿⠛⢋⡩⠞⠋⢰⣽⡾⢸⣾⣿⣿⣄⠀⣀⣿⣿⠀⠀⣀⣠⡤⢤⡤⠤⢤⣤⣠⠀⠀⣄⠙⠃⠈⠻⣿⣿⠋⠀⡀⠀⠀⠀⣰⣷⣿⣿⣿⣿⠁⠀⠀⠀ ⢻⣿⣿⣮⣿⡷⡁⢜⢅⣀⡠⠔⠊⠁⠀⠀⠀⢸⣿⡁⠀⢽⡭⣻⣿⣰⣿⢣⣽⣿⢿⠛⠁⠀⣸⠃⠀⢘⣿⠀⠙⡿⣿⣚⢄⠀⠀⣿⡟⠀⠉⣽⡆⠀⣰⣷⣿⣿⡿⣿⡇⠀⠀⠀⠀ ⠀⠙⣿⣿⣿⣿⡿⠌⡿⣟⡄⠀⠀⠀⠀⠀⠀⠸⣿⣷⠀⠀⠙⣿⣿⣿⣾⣿⢏⣽⡎⠀⠀⣀⠇⠀⢠⣼⣿⠀⠀⡿⠋⠀⠉⠓⣾⣿⣄⠤⢶⠿⡇⢻⣿⣿⣿⡿⠋⣽⡇⠀⠀⠀⠀ ⠀⠀⠘⠻⠿⣇⡙⡷⣧⣻⡘⢆⢀⡤⠖⠒⠒⠒⠿⢿⣦⣄⣀⢸⣿⣿⣿⣧⠞⠁⠀⠀⡠⠋⠀⢀⣿⣿⣿⡆⠀⢸⣦⣀⣠⣶⠛⣿⡛⠒⠃⡌⣣⠴⠛⢁⣼⡟⢸⣿⠁⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠳⡽⠈⢿⣤⣼⡋⠀⣀⣀⡀⠀⠀⠀⠀⠀⣀⣈⡩⠴⠋⠀⢀⣀⠴⠊⠀⢀⣴⢻⣾⠿⠛⣷⡆⢘⣷⡏⣗⠁⠀⢳⡱⡀⠀⠉⠀⠀⢠⣿⣷⠿⣾⡏⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠙⣄⠀⣸⣯⠖⡋⠁⣤⣀⣤⡤⠤⠤⠀⠠⠄⠀⠐⠒⠋⢉⣀⡤⠔⢺⣡⡖⠋⠁⠀⠀⠘⢧⡈⢹⣷⠈⣆⣀⡘⠳⢬⣂⡀⠀⣰⣿⣷⣱⣸⣿⡗⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠈⢦⡿⢣⣴⢿⣯⡀⠤⠴⠿⠤⠤⠤⠄⠒⠒⠒⠋⠉⢀⣀⣤⠶⠋⠉⠁⠀⠀⠀⠀⠀⠸⣿⡄⠀⠙⠪⠤⠈⠉⠐⢺⣿⡿⠿⠿⢿⣷⣿⡿⠃⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢳⡿⠛⠉⠀⠀⠀⠀⢀⣀⣀⣀⣤⣴⣶⣶⣶⠛⠉⠹⢇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢻⣖⡒⠒⠂⠀⠀⠀⠈⠉⠁⠀⠀⠀⠈⠻⡅⠀⠀⢀⠄⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡏⢁⡦⠔⠒⢋⣭⠵⡖⠛⢿⣯⢻⣿⠿⣿⣿⣷⣦⣀⠀⠳⡀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡤⠺⣿⣷⣒⠤⠀⠀⠀⠀⠀⠒⠒⠒⠢⣄⢻⡀⣠⠿⠀⠀⠂ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣆⡾⠁⠀⣰⠏⣟⢧⡁⠀⠈⠿⣿⣷⣦⡈⠉⠉⠉⠛⠿⣶⣗⠀⠀⠀⠀⠀⠀⠀⡴⢋⣀⣠⣯⡥⢸⣿⠁⠒⠒⠂⢲⠒⠒⠒⣲⣿⡟⣟⠃⠀⢀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣿⣇⣿⡁⠀⢀⠟⠀⢹⢆⠙⠲⢦⡀⠀⠈⢻⣿⡀⠀⠀⠀⠀⠈⠉⠁⠀⠀⢀⡀⠀⠸⠗⠛⢿⡟⠛⢁⡞⠈⡆⠀⠀⠀⠀⢀⡄⣰⠣⡟⣔⣏⢀⡽⠋⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⡟⠉⢩⠇⢀⡞⠀⠀⣸⢺⡆⠀⠀⠀⠉⠒⠤⣿⣷⣤⠀⠀⠀⠀⠀⠀⠀⠀⠈⣷⣄⠀⠀⠀⠀⣿⠴⠋⠀⠀⠇⠀⠀⠀⠀⠀⣼⣿⣾⢿⣿⣷⣅⣀⣀⣀⣀ ⠀⠀⠀⠀⠀⠀⠀⠀⠈⠲⣯⡤⢎⠛⢦⢸⣿⡟⣸⡀⠀⠀⢀⡀⠀⠀⠙⠿⣷⣄⠀⠀⢶⣆⣀⣀⣈⣉⡉⣀⡤⠖⠉⠁⠀⠀⢀⠀⠀⠀⠀⠀⢀⡜⠁⣡⣶⡿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⡰⠧⠄⢼⡆⠠⠧⠧⡇⠐⠹⡀⠀⠀⠈⠑⢄⠀⠀⠀⠙⢧⢀⠘⠻⣿⣳⣾⠟⠛⠀⠀⠀⠀⠀⠀⢠⠎⠀⡄⠀⠀⠀⠀⠈⠀⠛⠻⣿⣿⡿⠟⠛⠛⠛⠛ ⠀⠀⠀⠀⠀⠀⠀⠀⡾⣚⣶⡄⠀⠉⠉⣻⠯⣷⠀⢠⢱⡀⠀⠀⠀⠀⠑⢄⠀⠀⠀⢻⣶⣄⣀⣽⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣧⢀⠀⠀⠀⡀⠁⠀⠀⠈⠁⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣞⣠⣿⡁⢀⠦⣤⣻⣏⢹⡆⠀⢧⠙⢆⠀⠀⠀⠀⠀⢣⠀⠀⠀⠉⠳⣾⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡼⢉⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀ ⡀⠀⠀⠀⠀⠀⠀⠀⡡⢦⠟⠋⡛⠊⣿⣉⡛⣿⣿⣆⠀⠀⠈⠣⡀⠀⠀⠀⠀⠁⠀⠀⠘⢰⠃⠀⢠⠆⠀⠀⠀⠀⠀⠀⠀⠀⠞⠁⠠⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠞⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠸⣀⠀⠣⣄⡳⠄⠀⠀⠠⠸⠹⣼⣦⡀⠀⠀⠈⠂⠀⠀⠀⠀⠀⠀⠀⠋⠀⠀⠃⠀⣀⠔⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⠇⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢤⣤⠤⠶⠛⠋⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡠⠊⠁⠀⡠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⡇⢀⠠⣄⡀⠀⠀ ⠀⠀⠀⠀⠀⠉⢢⣀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠒⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣶⣶⠤⣤⠤⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⡾⣿⡷⠄⣠⣷⡀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢹⣦⡄⠉⢳⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣾⣿⠟⣻⣭⢽⣍⣉⡓⠛⠷⢤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⢴⣿⠀⠀⠙⢾⡻⠛⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣼⡿⢟⣦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠛⠙⠻⣯⡭⢽⣶⣶⣶⣠⣉⠁⠀⠰⢳⣤⡄⠀⠀⠀⠀⠀⢔⡒⢫⣿⣾⡟⠀⣀⣠⣾⣇⠶⣄⠀⠀ ⣶⣶⣴⣿⣿⣶⣶⣿⣯⣿⠟⠛⠳⣶⣤⡀⢀⠀⠀⠀⠀⠀⠀⠀⢠⣤⣶⠁⠀⠀⠀⠸⠿⣿⣿⡷⣿⣯⣿⣯⡐⠶⣧⣥⡿⣦⡀⠀⠀⠀⠀⠙⢶⣀⠉⠿⣿⣷⣏⣶⣿⣆⡀⠀⠀ ⣾⣿⣿⣟⣫⣿⠿⣿⡟⠉⠀⢠⣾⣯⣿⡿⠛⢛⠀⡀⠀⠀⠀⢰⣿⣿⠁⣀⣴⣦⣤⡾⢿⠉⠀⠀⠱⣵⣀⠙⠻⣿⡿⣇⢿⡿⢫⡑⣶⢤⢄⣀⡀⠛⠲⢤⣈⠙⢿⣿⠿⠟⠁⢀⠀ ⣿⣿⣿⣿⣿⣿⣶⡿⠃⢀⣾⣿⣿⣿⣿⣷⣾⣿⡟⠁⠀⠀⠀⢸⠿⣿⣿⣿⣿⣿⡟⠁⣿⠀⡇⠀⠀⠈⠙⢦⡀⠀⠙⠛⠛⠷⣏⣧⣗⢸⣀⠉⠉⠉⠙⠒⠚⠻⢶⣿⣿⣆⡀⠉⠀ ⣿⣿⣿⣿⣿⣿⣿⣷⣶⣿⣿⣿⣿⣿⣿⣿⣿⠟⠂⠀⣌⢀⡂⠀⡒⡩⠟⠋⢣⡏⠀⢰⡇⠀⢸⠀⠀⠀⠀⠀⠱⢄⡀⠀⠀⠀⠈⠻⢿⣷⠙⡃⠀⠀⠀⠀⠀⠀⠀⠈⠉⠙⢿⣿⣿
⠀⠀⠀⠀⣀⣠⡤⠴⠶⠶⠶⠦⢤⣤⣀⡐⠢⢄⡀⠀⠀⡈⠁⠙⠻⣿⣆⠀⠀⠀⠀⠀⠀⠀⣠⡴⠟⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈ ⣠⠵⠚⠉⠁⠀⡀⠀⠀⡀⠀⠠⠀⡀⠈⠙⠳⣤⡀⠠⠐⠀⢁⠈⠄⠘⣿⣦⠀⠀⠀⠀⣠⡾⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠄⢀⠈⢀⠡⠀⠡⠀⢀⠡⠀⠁⠄⠂⢁⠀⣰⠿⣇⡐⠈⠄⡈⠄⠡⢸⣿⠄⠀⠀⣰⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠠⢀⠀⠀⠐⢂⠈⠀⠄⡀⠁⠂⣰⡆⣰⢏⢀⣨⣷⡼⠖⠚⠛⠛⢻⣿⡤⠤⠶⠿⣤⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠁⡀⠂⠐⠈⢀⠂⢀⠁⢂⢀⠐⡰⢃⡙⠛⣿⡿⠋⠁⠀⠀⠀⢠⠖⠋⠁⠀⠀⠀⠀⠀⠉⠻⣿⣠⡴⠒⠉⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠁⡐⠀⠡⢈⠀⠂⠄⢈⠀⠾⡏⠱⠲⣼⡿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢻⣿⣆⢘⣿⣤⡶⠖⠒⠚⠒⠒⠒⠲ ⠀⠀⠐⣈⣠⣀⣤⣁⣈⠄⡐⢀⣻⣄⣩⡟⢀⠀⢠⠆⠀⠀⠀⢀⠎⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⢦⠀⠻⣿⡟⠛⠋⢏⠀⠀⠀⠀⠀⠀⠀ ⣠⣶⠿⠟⠛⠛⠋⠙⠛⠻⣶⠋⣼⣿⡿⠀⡄⠰⠅⠀⠀⠀⢀⠏⠀⠀⠀⠀⠀⠀⠀⠀⠙⢦⡄⠀⢷⣡⡜⣿⣤⣅⡘⣦⠀⠀⠀⠀⠀⠀ ⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠶⣤⣾⡇⢰⢡⠇⢀⠆⠙⢠⡎⠀⠠⠃⢀⡞⠀⠀⠀⠀⠀⠀⠹⣄⠈⣷⢳⠘⣯⣊⣽⡯⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⣧⢺⡾⢠⠋⠀⣰⠏⡇⢀⠃⠀⡼⠐⢄⢀⠀⠀⠈⢦⠀⠹⡄⢸⣼⣆⣿⣿⠙⣷⡄⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡼⣿⢯⣤⣾⣁⣴⣷⣌⡤⠀⣿⣄⠈⠀⠱⣄⣴⠀⠳⡀⣷⠸⣷⢻⣿⠬⣴⣺⣧⣔⣢⣀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣾⣿⡿⣿⣿⣿⣦⡘⠦⣈⠺⠿⢿⣶⣾⢿⣤⣐⣻⣼⢸⣿⣹⠏⠋⠉⠀⠈⠉⠛⠿⣶⣄ ⠀⠀⠀⠀⠀⠀⠀⠀⢰⡻⠉⠁⠀⠀⡇⣿⣿⢹⣅⠀⡎⠙⠻⣿⠈⠛⠒⠻⠟⣻⣿⣷⣦⣬⣙⣿⣿⣾⢧⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉ ⠀⠀⠀⠀⠀⠀⠀⠀⡇⢳⡀⠀⠀⠀⣹⢃⣿⠀⠀⠀⠨⡒⠚⠁⠀⠀⠀⠀⠈⡏⠙⢁⡟⠹⣿⣽⣿⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠘⢄⠙⠅⣂⣉⡤⢟⣿⠀⠀⠀⠀⢸⠀⠀⠀⠆⠀⠀⠀⠈⣒⠋⠒⠲⠃⡿⣿⢻⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠑⠚⠒⠶⠚⠋⠈⢢⡀⠀⠄⠊⢠⣒⡂⠀⡠⡒⠁⠘⠀⠀⠀⢀⡼⢱⣯⠊⠀⠀⢸⡆⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢦⡀⡏⢺⠽⢸⠹⣱⢹⠀⠀⠀⢀⡠⢾⣇⠆⣑⢦⡀⢤⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣴⡛⣿⡈⣾⠘⣇⡇⢸⣤⡤⠖⠋⠀⠈⠫⢗⣢⣤⣴⡾⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⠀⠀⠀⢀⣤⠾⠋⢿⣧⠘⣧⠸⠏⢿⡇⠸⣿⣧⣯⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⡿⡉⢍⠋⡍⣿⡧⢈⡑⢺⣿⣇⠘⢆⠐⠀⠀⠀⠙⡏⣼⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣰⡟⣡⣷⠌⣦⠁⢆⠙⣿⠠⠹⢄⣹⣿⡅⠀⠀⠀⠀⠀⡸⣽⢯⣿⢻⡳⢶⠶⣤⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⡼⣿⢣⡐⣿⢾⡟⡈⢆⠡⢻⣌⡑⠢⢌⠻⣿⣄⠀⠀⠀⢰⣿⣯⡟⢧⡳⣙⢮⡹⢖⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢠⡗⢿⣣⠜⣿⣿⠣⡑⢌⠢⢹⣷⠌⡱⢈⠹⣿⢯⢷⡀⠀⠈⢿⡟⠉⣷⣩⢓⣾⣗⢫⣿⡟⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⡾⢠⢻⣧⠻⣽⣿⢡⠘⡄⠣⢌⣿⣇⠴⣡⡟⠹⣜⢞⣇⠀⠀⠘⣿⣶⢳⣬⢳⢺⣏⣿⣿⡹⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢰⢇⠡⢊⣿⣝⣺⣧⠣⡘⢄⠃⠆⡼⣿⡿⣋⠰⢡⡛⣞⣾⡀⠀⠀⠘⢿⣿⣶⣯⣽⣯⣿⣏⠷⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⡟⠈⠘⡅⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣼⡟⠁⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡽⠋⠀⠀⠀⡰⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣄⣀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⡰⢡⠞⠀⠀⠀⠀⣠⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⡾⠁⠀⠀⠀⠉⠉⠑⠠⣄⣀⠀⠄⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⡊⣠⠏⠀⠀⠀⣠⠞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠁⣧⢣⡀⠀⠀⠀⠀⠀⠀⠀⢱⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠘⢱⣿⠀⠀⠴⢫⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡞⠀⠻⡄⢱⢦⣤⣤⣤⡀⠀⠀⠀⢇⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢠⢸⠏⢧⠠⠄⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⡇⠀⠀⣍⣈⣿⡿⠿⣿⣿⣷⣔⠀⠘⡄⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⡾⠀⠀⢸⡧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠇⠀⣸⠏⢹⣿⣷⡇⠈⠙⠉⠉⣷⠀⢸⡆⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢰⠀⣿⠃⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠀⠀⣿⠀⣻⣿⣿⡇⠀⠀⠀⠀⢹⠀⣬⢧⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠰⡐⣿⡀⠀⠀⣿⢅⡄⠀⠀⠀⠀⠀⠀⢀⣠⠞⠀⠀⢰⣿⣿⣿⣱⠟⠀⠀⠀⠠⠚⠀⠐⠃⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣧⣘⣧⣰⣦⡿⠭⠽⠿⠜⠛⠚⠒⡼⠋⠀⢀⣠⣶⣿⣿⡿⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢾⡿⠿⣧⣿⡧⠀⠀⠀⠀⠀⠀⣠⡅⣠⣾⠿⣻⣿⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢀⡔⠋⠀⠀⠙⠒⠃⠀⠀⠀⠀⠀⠰⣻⣿⣿⣿⠞⠁⠀⠓⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣠⠎⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢄⠀⠀⠀⠉⠉⠁⠀⠀⠀⠀⠈⢆⠱⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⡰⠁⠀⠀⠀⠀⠀⠀⢺⡄⠀⠀⠡⠈⡆⠄⢡⣘⡆⠀⠄⠀⠀⠀⠀⠈⣟⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣲⠃⡄⠀⠀⠀⡄⠀⢸⡎⠘⡀⠠⠤⡒⣃⣟⠉⠁⠘⠀⠸⠀⠀⠀⠀⠢⡈⠌⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠠⢠⠇⣼⠀⠀⠀⠀⡇⠠⢸⡇⠀⣧⣰⡰⠔⢎⣡⣤⣀⣐⡃⠀⡅⠠⠀⠀⠀⢣⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢸⢠⢿⠀⡀⠀⠀⠀⢠⠘⠇⠀⠙⠁⢀⡴⠋⠁⠀⠈⢛⢆⠀⡇⠀⡄⢰⠀⢸⢆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢠⢸⠇⠸⠀⢣⠀⠀⢠⡸⡟⠒⠄⠀⠀⠈⠀⠀⠀⠐⠋⠁⡎⠀⣿⠀⡇⢸⠀⠸⣼⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠈⠎⠀⠀⠰⠈⢦⠀⠀⢹⡓⠒⠲⠀⠀⠀⡠⠀⠀⠀⠀⢰⠃⠀⡏⠀⡇⢸⠀⠀⡯⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢠⢈⡆⠀⠀⡟⣄⠀⠀⠐⠁⠀⠀⠀⢀⡠⢿⠀⠀⡇⠀⡅⡼⠀⠀⢇⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢙⡗⠀⠀⠀⠈⡍⠒⠢⠤⢤⡴⠚⠉⢀⡜⠀⢠⣅⣀⠃⠁⠀⠀⠈⢇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣾⠀⠀⠀⠀⠀⠁⡰⠊⢱⠋⠁⢀⡠⠚⢀⠀⣼⣤⡈⢳⣤⡀⠀⠀⠈⠳⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣰⠃⠀⠀⠀⢀⡴⣿⠁⠀⣸⡦⠘⠁⠀⠀⣸⢠⣿⣿⣴⣾⣿⣿⢦⠀⠀⠀⠸⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⠎⠀⠀⠀⠘⣯⠀⡼⢠⡎⠉⡇⠀⣀⢴⢾⠁⢸⣿⣿⣿⣿⣿⣿⣿⣷⠀⠀⠀⠈⢦⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢠⠊⠀⠀⠀⢰⣼⠟⣷⡇⢸⣇⣠⣧⠚⣱⠃⣿⠀⣾⣿⣿⣿⣿⣿⡿⣻⣿⡆⠀⠀⠀⠀⠱⣄⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢠⠃⠀⠀⠀⢠⢻⣏⣤⣹⡧⠚⠛⡷⠀⢠⣣⡞⠻⠀⣿⣿⣿⣿⣿⣿⢳⣿⣿⣿⡀⠀⢀⠀⠀⠘⢤⠀⠀⠀⠀⠀ ⠀⡠⠰⠃⠀⠀⠀⢀⣾⣾⣿⣿⣿⡇⠀⢀⡇⡰⢣⣷⣤⣴⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⢷⡀⠀⢆⠀⠀⠀⠑⢤⠀⠀⠀ ⢠⠃⠀⠀⠀⠀⠀⡜⣼⣿⣿⣿⣿⣷⡴⠋⣀⣼⣿⣿⡟⠛⠀⠟⠿⢿⣿⣿⣿⣿⣿⣿⣿⡟⣷⠀⠈⠆⠀⠀⠀⢌⠱⡐⢄ ⢸⠀⠀⠀⠀⠀⠠⣷⣿⣿⣿⣿⣿⣥⣴⣾⣿⣿⠟⠻⣷⣶⣶⣤⣤⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⠀⠀⠈⠄⠠⠀⠀⢦⠑⢾
⠀⠀⠀⠀⠀⠀⢀⠀⢀⡤⠄⠀⠀⠀⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣸⠟⠉⠁⡛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠐⠀⠀⠐⠪⡀⠀⠀⣲⠇⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣦⠀⠀⠀ ⠀⠀⠳⡀⠀⠹⣆⠉⠀⠀⠀⡇⠀⡠⠂⠀⠀⠀⠀⠀⠀⠀⠀⣀⣴⣿⠛⣿⣧⠀⠀ ⣀⢀⠀⠙⡆⠠⣜⣖⠀⡀⣾⡧⣺⡃⠀⠀⠀⠀⠀⠀⠀⣠⣾⣿⢙⣿⣶⣟⣿⣧⠀ ⢫⡓⢦⡲⣤⡀⠈⢙⡶⣿⣫⠞⢉⣷⠂⠀⠀⠀⠀⢀⣾⡟⠉⢹⣿⣿⣿⣿⣿⣿⣧ ⢷⡓⣦⣝⣦⣹⣷⣤⣉⠛⠿⣦⡫⠃⠀⠀⠀⠀⠀⣸⣻⣇⣀⣼⡏⢿⡟⣿⣤⣿⠿ ⢀⣿⢿⣿⣿⣿⠇⠉⠛⢽⠲⣤⡙⣆⠀⠀⠀⠀⠀⣿⣿⡿⣿⡿⠁⣼⠀⣿⣿⠋⠀ ⡿⢻⣿⣿⣿⡟⠀⠀⢰⠾⠓⠈⢯⠛⣷⡄⠀⠀⠀⣿⣿⡇⠀⡇⢠⠇⠘⣿⣿⡆⠀ ⣧⣀⡠⠐⠉⠰⡖⠀⡞⠀⠀⠀⠘⡆⢸⡘⠄⠀⣸⣿⣥⡇⢰⢁⡾⠲⣴⠋⡼⢿⡄ ⠀⠀⠀⠀⠀⠀⠀⢰⠃⠀⠀⠀⠀⣇⡇⠀⠀⢠⣿⣾⠟⣿⣿⡿⠀⠀⣇⣼⣷⣿⣷ ⠀⠀⠀⠀⠀⠀⣠⠏⠀⠀⠀⠀⠀⡼⠁⠀⣠⣿⣿⣿⡴⠋⠈⡇⠀⢀⡟⣸⣿⣁⣿ ⠄⠀⠀⢀⣴⣾⡿⠀⠀⠀⠀⠀⢠⠇⢀⣾⣿⣿⠃⡿⠁⠀⡼⠀⠀⣼⠟⠁⠈⣻⣿ ⣀⣤⠾⣿⠟⠻⣧⠀⠀⠀⠀⠀⠋⣰⣿⢛⡧⣼⡿⠁⠀⡴⠁⠀⣰⡿⠲⡊⢹⣿⣿ ⡀⠠⠞⠁⠀⠀⢘⡶⠋⠉⠉⠉⠙⣿⣿⠎⢀⡞⠀⢀⡼⠁⢀⡼⠋⠀⣰⣧⣾⣟⠁ ⠉⠀⠀⠀⠀⢠⠏⠀⠀⠀⠀⠀⠀⢘⣏⣠⠎⢀⡴⠋⣀⡴⠋⠀⣀⣼⣋⣤⠼⣿⡄ ⠀⠀⠀⠀⠀⠋⠀⠀⠀⠀⠀⠀⠀⢀⣿⣡⣴⣫⠴⢚⣁⡤⠴⠚⠛⢾⡥⣤⣴⣿⠇ ⠀⠀⠀⠀⠀⠀⣀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⢭⣍⣉⣀⡀⢀⣀⣤⠾⠳⢤⣿⠋⠀ ⠀⠀⠀⠀⠀⣰⠁⠀⠀⠀⠀⠀⢀⣿⣿⠳⡌⠓⢦⣀⠀⠉⢹⣟⠓⠲⣤⣾⠋⠀⠀ ⠀⠀⠀⠀⢠⠃⠀⠀⠀⠀⠀⠀⣼⠃⣿⠀⣿⡄⠀⢹⠛⢿⣭⠽⠗⠒⠋⠁⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣯⣴⣦⡴⢋⠟⠒⢻⣤⠴⠁⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠋⣯⠟⠋⠉⠉⠉⠉⠀⠀⢴⣶⣦⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣼⡥⠚⠉⠙⠒⢤⣀⠀⠀⠀⢡⡸⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠁⠐⠀⠐⠀⠄⠼⣿⣿⠆⠂⠀⠀⠀⠈⠉⠙⠊⠉⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⣀⣀⡀⣀⢔⡰⠀⠓⠃⢃⢁⠊⠠⠡⠄⡄⠁⠡⡐⠈⣈⠠⡈⠤⢶⠥⡀⠴⠑⠀⡧⢖⠂⢀ ⠀⠀⠀⡀⠀⠠⠀⠀⠀⡀⢐⠀⠀⠂⢀⣀⢄⠋⢑⢆⣁⢀⡁⠅⡂⢐⠊⠡⠀⠃⠖⠠⡃⡈⡉⡀⠀⢚⡌⡟⡠⢳⣒⢳⡍⠋⡌⣀⡇⠁ ⡀⠀⠀⠁⠈⠀⠀⠀⡀⠀⠁⢤⡄⢉⣂⣁⡄⢗⠒⡚⢀⠢⢀⠑⠀⡆⠄⠂⠄⢈⠂⠀⠊⠂⠠⠀⠈⠀⠀⠈⠂⠀⠀⠀⢰⠠⠀⠀⡀⢜ ⠀⠀⠂⠀⠀⠀⠀⠈⠈⠀⡁⡁⡉⠚⠃⠁⠀⠛⠓⠐⠉⠈⠑⠁⠁⠂⠒⠢⠂⠤⠄⣡⡀⡀⠀⠀⠠⠀⠀⠀⠀⠂⠀⡀⡲⠁⡄⠉⠀⠹ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⡊⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠂⠤⠁⠔⠀⠀⠀⠈⠀⠀⠈⠉⠂⣄⠐⢀⠂⠀⠀⠁⠠⠄⠈⠀⢀⠀⠐ ⠀⠀⠀⠀⠀⠀⢀⡠⠑⠁⡛⠅⡁⠀⠀⠀⠀⠀⠀⠀⠀⣀⠋⠃⢆⠀⠀⠀⠀⢀⠠⠀⠀⠀⠄⠀⠀⠑⡔⠠⠀⠀⡀⡀⠄⢁⠁⠀⠀⢌ ⠀⠀⠀⠀⠀⢀⠂⢀⠈⠀⠈⠄⠈⠂⡀⠀⠀⠀⠀⠀⢠⠂⠀⠀⠀⠱⡊⠀⠀⠀⠀⢀⠀⠀⠀⢀⠔⠁⠈⢲⠀⠁⠐⠇⠀⡀⠀⠀⠁⠣ ⠀⠀⠀⠀⠀⠄⠀⠀⠀⠀⠀⠡⡀⠀⠀⠁⠄⠀⠀⠀⡂⠀⠀⠀⠀⠀⠐⡀⢀⠀⢠⡀⡀⣀⡠⠅⣬⠄⠀⠀⢆⠀⠨⠁⡀⠀⠀⠀⠂⠀ ⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠂⡀⠀⠀⠀⠁⠀⡌⢀⠀⠠⠀⠂⠀⠈⠀⠄⠀⠀⠀⢀⠊⠀⠊⠀⡰⠀⠀⠀⠆⡕⡁⡁⡀⡢⠀⠀⠌ ⠀⠀⠀⠀⢈⠀⠀⠀⠀⠀⠀⠀⠀⠉⢄⠀⡀⠂⠈⠄⠈⠀⡀⠀⠀⠀⠀⠀⠀⠂⡀⠊⡀⠈⠀⠀⡀⠁⠀⠀⠀⠇⢈⠀⡀⠐⠀⠠⠒⠀ ⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡎⢂⠀⠀⠂⠀⠀⠀⠀⠀⠂⠀⠀⡠⠐⠁⠃⡀⠀⠀⠀⠠⠀⠀⠀⠀⠀⠅⠠⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⢧⠀⡂⡈⠀⠀⠀⠀⠀⠀⢀⠕⢡⠐⠀⠁⠀⠀⠄⠀⠐⠀⠀⠀⠀⠀⠀⡁⠀⠀⡀⢀⠀⠁⠐⠠ ⠀⠀⠀⠀⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢒⠄⡀⡀⠀⠀⠀⡠⡃⠌⠀⠀⠁⠄⠀⠀⠀⠒⡀⠀⠀⠀⠀⠀⠀⢀⢀⠀⠀⠐⠊⠂⠀⠀ ⠀⠀⠀⠀⠀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⠡⢀⠃⠈⣈⠎⠃⠄⢀⠀⠀⠀⠀⠁⠠⠈⠀⠂⡀⠀⠀⠀⠀⠀⠀⠄⠂⠀⠀⠈⠀⠀⠁ ⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠀⠀⣓⡴⠉⠀⠀⠀⠀⠀⠀⠁⠁⠄⡀⢁⠁⠢⡀⠡⠀⠀⠀⠐⠀⠀⠃⠀⠀⠠⡀⠀⠐⠀ ⠀⠀⠀⠀⠀⢁⠀⠀⠀⠀⠀⠀⠀⠀⢀⡁⢔⢙⠀⠀⢂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠈⠀⠂⢕⢧⡀⠀⠀⠀⠀⡁⠂⠄⠀⠀⠀⠀⠠ ⠀⠀⠀⠀⠀⠀⠄⠀⠀⢀⣀⠤⠒⠉⡱⠈⠀⡀⠀⠀⠀⠁⢄⡀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠉⠓⢦⡀⠀⠀⠄⠐⠁⣀⠀⠀⠀⠠ ⠀⠀⠀⠀⠀⠀⠈⡀⢰⡁⠀⠀⡦⠃⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠑⢄⡀⠁⠀⠀⠀⠀⠀⡀⢀⠀⡀⢀⣀⣉⣦⠐⡨⠀⠀⠀⢀⠀⠁⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢁⠁⠃⠄⡀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠠⠀⠀⠁⠁⠉⠉⠁⠁⠀⠀⠀⠀⠀⢀⠀⠀⢀⢸⠀⠀⠄⠀⠀⡀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠡⡀⠀⠀⠐⠀⡀⠀⡀⠀⠀⠀⠀⢀⠈⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡰⡁⠀⡄⠀⡀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠆⡀⠀⠀⠀⠁⠂⠄⠄⠤⠂⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡃⡀⢀⠠⠀⠂⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⢂⡀⠀⠀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⡠⠤⠤⠒⠍⠁⠐⠄⠌⡀⠀⠀⡀⢀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠐⠄⠌⣀⡀⣀⡀⡀⣀⢀⢀⠄⠄⠄⠔⠂⠊⠉⠉⠀⠀⠀⠀⠄⠀⠀⠨⡄⢀⠀⠀⠀⠀⠈⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠃⠁⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⡔⢹⣍⠑⢆⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠑⡄⠀⠀⠀⠧⣀⠜⠀⣸⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣴⣶⣿⣿⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⣀⠴⠃⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣰⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⢀⠜⠀⣀⠤⠶⠾⠭⢥⣀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠂⠀⠀⠀⠀⠀⠀⡴⢁⡴⠋⠀⠀⠀⠀⠀⠀⠈⠓⣄⠀ ⠀⢀⣤⣶⣶⣶⣶⣶⣶⣶⣤⣀⡀⠀⠀⠀⠀⠀⠸⣿⣿⣿⣿⣿⣿⣿⡟⣛⡶⢄⠀⠀⠀⠀⠀⢠⢃⡞⠀⠀⠀⢀⡠⠔⠢⢄⠀⠀⠈⡇ ⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣦⣄⡀⠀⠰⣿⣿⣿⣿⣿⣿⣿⣿⣏⣀⡸⠀⠀⠀⠀⠀⠸⣸⠁⠀⠀⠀⡎⠀⠖⠐⣦⡡⠀⠀⠰ ⣿⣿⣿⡿⠋⠉⢻⣿⣿⣿⣿⠋⠉⠉⠛⠻⢿⣶⣤⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⡀⠀⠀⠀⠀⠀⣿⡀⠀⠀⠀⢇⠀⠃⠤⠔⠃⠀⢠⠇ ⠘⢿⣿⡆⠀⠀⠀⢿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠈⠛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡒⠒⠤⢄⡸⡇⠀⠀⠀⠈⠳⢄⣀⣀⡠⠴⠋⠀ ⠀⠀⢸⣿⣦⡀⠀⠈⢻⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠉⢿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠈⢿⣿⡿⣤⣀⠀⠙⠻⣿⣦⣀⠀⠀⠀⠀⠀⠀⠈⠉⣿⣿⡿⢿⣿⣿⣿⣿⣿⣿⡤⣄⡀⠀⠀⠀⢳⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠈⢿⣧⡈⠙⠻⠶⠶⠶⠿⠿⠿⢷⣶⣶⣤⣤⣤⣤⣿⣿⣃⣀⡙⣿⣿⣿⣿⣿⡇⠀⠉⠳⡄⠀⠈⣧⠀⠀⡠⠒⠉⠉⠉⠢⡀⠀ ⠀⠀⠀⠀⠈⠉⢿⣶⣤⣀⣀⣀⣀⣤⣶⣿⠿⢛⣽⣿⡟⣿⣿⣿⣯⠉⠉⢻⣿⣿⣿⣿⣷⠀⠀⠀⠙⣆⠀⢹⡆⠸⠁⠀⣠⠒⢶⡄⢹⠀ ⠀⠀⠀⠀⠀⠀⠘⣿⣝⠛⠛⠛⠛⠋⠉⣀⣴⣿⡿⠋⣸⣿⣿⠁⣿⣧⣴⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⢹⡄⠀⣇⡇⠀⠀⢣⡀⢀⡰⠃⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠉⣷⣶⣶⣶⣶⣿⡿⠟⢁⣠⣾⣿⣿⣿⢴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⢸⡇⠀⣿⠃⠀⠀⠀⠀⠀⠀⡠⠶ ⠀⠀⠀⠀⠀⠀⢀⣴⣾⣿⣿⢿⣯⣉⣡⣤⣶⡿⢿⣿⣿⣿⣿⣏⣭⣻⣿⣿⣿⣿⣿⣿⡏⠘⢿⣷⡀⣸⠁⠀⡿⠀⠀⠀⠀⠀⢀⠔⠀⠀ ⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⢋⣽⣿⣿⣿⣿⣿⣿⣿⣿⡁⠀⠀⠻⣷⣧⣤⣼⠇⠀⠀⠀⠀⡠⠊⠀⠀⠀ ⠀⠀⠀⠀⠀⢹⣿⣿⡟⠁⠀⠀⠀⠉⠉⠉⢁⣴⣾⣿⣟⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⣀⡴⠋⠛⣿⣿⡍⠀⠀⣠⠞⠁⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠸⣿⣿⡧⠀⠀⠀⠀⠀⠀⠀⠈⢽⣿⣿⣿⣿⣿⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣤⡾⠋⣈⡥⠶⠭⠤⠤⠤⢀⠀⠀⠀ ⠀⠀⠀⠀⠀⢠⣿⣿⣇⠀⠀⠀⠀⣀⣠⣤⣾⣿⣿⣿⣿⣿⣿⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣍⠀⠀⠀⠀⠀⠀⠀⠀⢣⠀⠀ ⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⣿⣿⣿⣿⣿⡴⠞⣉⣩⣿⣿⣿⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠉⠀⠀ ⠀⠀⠀⠀⠀⠀⠻⣿⣿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠟⢻⣿⣿⣿⣿⣿⠋⣠⣾⣿⣿⣿⣿⣿⠿⢻⡏⢳⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⡿⠃⠀⣸⣿⣿⣿⣿⣧⣾⣿⣿⣿⠿⠛⠉⠈⠃⠐⠁⢰⠃⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠏⣿⠛⠛⠉⠀⠉⠁⠀⠀⢀⣿⣾⣿⣿⣿⣿⣿⠟⠋⠉⠛⠷⣖⠦⠤⠤⠖⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠏⠀⢸⡆⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⡿⠏⠁⠀⠀⠀⠀⠀⠈⢧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⠀⠀⣼⡇⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⡿⠁⠀⠀⡴⠋⣁⣉⠳⡀⠀⠘⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣤⣾⡿⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⡇⠀⠀⢸⠁⠰⡁⣼⢆⠇⠀⢠⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⠿⠋⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⠤⣄⠀⠈⢧⡀⠉⠉⠁⠀⣠⠞⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣿⣿⠀⢹⡆⠀⠀⠙⠒⠒⠒⠚⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⢀⡎⠙⣄⠀⠀⠀⢠⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⣿⣿⡏⠋⠀⠀⠈⠁⠒⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
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⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢲⣦⣤⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⣿⣿⠷⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠿⠁⢀⣴⣶⣶⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⢿⣿⣿⡀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣴⣶⣾⡿⠓⠶⣤⡀⠀⠀ ⠈⣷⣦⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣠⠄⠀⣴⣶⣶⣶⣤⣤⣼⣿⣿⣿⣿⣿⡌⠻⣦⢻⡀⠀ ⠀⠸⣿⣿⣿⣿⣶⣦⠀⠀⠀⠀⢤⣴⣾⣿⣿⣿⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣾⣿⣄ ⠀⠀⢻⣿⣿⣿⣿⣿⠀⠀⠰⣄⠀⠀⠉⠛⠛⠿⠧⠀⠘⠛⠛⠋⠉⠈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿ ⠀⠀⠈⢿⣿⣿⡿⠏⠀⠀⠀⣿⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠋⠀ ⠀⠀⠀⠀⠉⠉⠀⠀⠀⢀⣼⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⠋⠁⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠲⢶⣶⣿⣿⣿⣿⣿⣿⣧⣴⣶⣶⣦⣤⣄⣀⣀⣠⣾⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠛⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⠋⡀⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⠋⠙⣿⠇⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣿⣿⣿⣿⣿⣿⠃⣼⡇⣸⠏⠀⠀⢻⣿⣿⣿⣿⡏⣸⡆⡟⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⠀⢋⠔⠁⠀⠀⠀⢸⣿⣿⡿⣿⡇⠛⢠⠁⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⠏⢰⣿⣿⡿⠛⠁⠀⠀⠀⠀⠀⢸⣿⣿⡇⢸⣿⣶⡇⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⡇⣼⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠻⣿⣷⢸⣿⣿⡇⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣧⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠻⠛⢿⣿⣧⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⢹⣿⣿⣄⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⠿⠿⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠀⠀⠀⠀⠀
⢀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⡀ ⠸⣿⣿⣷⣦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣶⣾⣿⣿⠇ ⠀⢻⣿⣿⠿⠛⠳⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠞⠛⠻⢿⣿⡟⠀ ⠀⠘⣟⠁⠀⢀⣠⣼⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣷⣶⣤⡀⠀⣹⠃⠀ ⠀⠀⠈⠳⣴⣿⣿⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⠞⠁⠀⠀ ⠀⠀⠀⠀⠈⠛⢿⣿⣿⣿⡀⣀⣤⣤⣤⣤⣤⣀⠀⣾⣿⣿⡿⠛⠁⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠉⠛⣿⣿⣿⣿⡿⣛⢿⣿⣿⣿⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⢰⣿⡇⣿⣿⣿⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣿⡟⠛⢿⣿⣮⣛⣡⣿⣿⠛⢻⣿⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢿⣧⠀⠿⢻⣿⣿⣿⡿⠹⠁⣼⣿⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠘⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢻⣿⣿⣿⣿⣿⡟⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⣀⣤⣾⡇ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⡀⠀⢀⡤⠐⠻⣿⣿⡿⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣴⣷⣤⣄⠀⠈⢻⠇⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣠⠋⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢠⣾⡿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⠟⠁⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⡞⣿⣿⣿⣿⣿⣿⢼⣿⣿⡿⠛⠁⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣧⠙⣿⣧⣿⣿⣿⣿⣿⣿⣾⣿⢋⡇⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢹⣁⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣸⠃⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣠⣤⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣤⡀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠈⠿⠿⠿⣿⣿⣿⣿⠋⢿⣿⣿⣿⠿⠿⠿⠃⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠀⠀⠀⠈⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠳⣶⡤⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠠⣾⣦⡀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣈⣻⡧⢀⠀⠀ ⢷⣦⣤⡀⠀⢀⣠⣤⡆⢰⣶⣶⣾⣿⣿⣷⣕⣡⡀ ⠘⣿⣿⠇⠀⣦⡀⠉⠉⠈⠉⠁⢸⣿⣿⣿⣿⡿⠃ ⠀⠀⠀⣀⣴⣿⣿⣄⣀⣀⣀⢀⣼⣿⣿⣿⠁⠀⠀ ⠀⠀⠀⠀⠉⢩⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀⠀⠀ ⠀⠀⠀⠀⠀⣸⣿⣿⡿⢻⣿⣿⣿⣿⡿⢿⠇⠀⠀ ⠀⠀⠀⠀⢰⣿⣿⣿⠰⠙⠁⠈⣿⣿⠱⠘⠀⠀⠀ ⠀⠀⠀⠀⢸⡏⣾⡿⠁⠀⠀⠀⢿⣼⣷⠁⠀⠀⠀ ⠀⠀⠀⠀⠘⠷⢿⣧⡀⠀⠀⠀⠈⠛⢿⣆⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠉⠉⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀
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