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⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⠃⠀⠀⢰⠀⢀⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠇⡈⠄⠡⡀⢁⠒⠠⢈⠐⠠⣿⣿⢯⣿⣽⣿⣿⣻⣿⣾⣟⣾⣿⣻⣿⣻⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣄⠁⠢⢀⠡⢁⠐⡠⠈⠀⠂⠁⡁⢂⢱⣿⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣤⣤⣤⣀⠀⠀⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣴⠿⠋⠁⠀⠀⠀⢠⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣾⣋⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠻⢿⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣷⠀⠀⣼⣿⡟⢀⠂⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⡟⠀⠀⠀⡏⠀⣸⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⠀⠀⢠⣿⠐⠠⠘⠠⢀⠡⢈⠐⡠⢁⢺⣿⣿⣻⣞⣷⣿⣟⣿⣷⣿⣻⣯⣷⣿⣟⣿⣽⡿⣟⣾⣿⣿⣿⣿⣿⣿⣿⡈⡐⠄⠂⠌⡐⠀⠠⠁⢀⠂⡐⠄⢺⡏⠉⠛⠻⢿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⣿⣿⣿⣿⣿⣿⣾⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⣾⠟⢱⡀⠀⣠⣴⠄⠀⣾⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⡿⣿⣿⣿⣿⣿⣷⣶⣶⣶⣤⣤⣀⣀⣀⡙⢿⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⡇⢠⣿⡿⢷⡀⣼⡿⢸⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⡇⠀⠀⢠⠃⠀⣯⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣶⠾⠿⠛⠛⠛⠛⠶⣾⠃⠌⠠⠑⠠⢁⠂⡐⢂⠐⠠⢸⣿⣷⢯⣟⣾⢿⣻⣿⣾⣟⣿⣽⣿⣳⣿⣯⣿⢿⣿⢿⣷⣿⣿⣿⣿⣿⣿⣷⠀⠌⡐⠁⠀⡐⠀⠀⠂⢀⠐⡈⢼⡇⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠙⠛⠿⢿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⠟⠁⠀⢈⣻⣾⡟⠁⠀⢰⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⡿⣽⣻⣿⣯⣿⢿⣻⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣧⣿⡟⠁⢸⡧⣿⡇⠀⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⠀⠀⠀⡜⠀⢸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⠟⠁⠀⠀⠀⠀⠀⠀⢰⡿⠈⠄⠡⠘⡀⠂⠔⡀⠂⠌⡠⢁⣿⣿⢯⣟⣾⢿⣿⣟⣾⣿⢯⣿⣾⢿⣯⣿⣻⣿⣻⣿⣯⣿⣿⣿⣿⣿⣿⣿⠐⠀⠄⠈⢀⠀⠠⠁⠀⠂⡐⠀⢾⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢿⣇⠀⠀⢴⡿⠋⠉⠿⣦⠀⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⣽⣻⣽⣿⣽⡿⣿⡿⣷⣿⡿⣯⣷⣿⣟⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢈⣿⡿⠁⠀⣼⡇⠙⣿⣆⣾⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡇⠀⠀⢀⡇⠀⣿⡇⠀⠀⠀⠀⠀⢀⣀⣀⢀⣠⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⣾⡇⠌⡀⢃⠐⠠⢉⠐⠠⢁⠒⡀⠂⢹⣿⣿⡽⣾⣻⣿⡿⣿⣾⣿⣿⣽⣿⣻⣽⣿⣽⣿⣷⡿⣿⣿⣿⣿⣿⣿⣿⠀⢈⠀⠐⠀⡀⠂⠀⡁⠐⠠⠁⢾⡇⣀⣤⣤⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢻⣧⡀⠀⠀⠀⠀⠀⠀⠀⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⣟⣾⣽⣻⣿⣯⣿⡿⣿⣟⣷⣿⡿⣯⣷⣿⢿⣿⣿⣿⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⡃⠀⣰⡿⠀⡐⢈⣻⣿⠃⠀⠀⢀⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⠇⠀⠀⢸⠀⢀⢿⠀⠀⠀⠀⣠⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠄⠠⡀⠜⠃⠄⡘⠠⠀⠄⠀⡘⠘⣿⣿⣻⣧⣿⣻⣿⣿⣿⣧⣿⣟⣿⡿⣿⣼⠿⠛⠀⠀⠀⠠⡜⣿⢿⣿⣿⠀⢀⠀⠘⠀⠀⡀⠃⠀⡀⢃⣸⣿⡿⠛⠛⠛⠛⠻⢿⣧⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⣿⣀⣀⣀⣀⣠⣤⠀⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⢧⣟⣿⣿⣿⢧⣿⣿⢿⣟⣧⣿⣿⣿⣻⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣧⣤⣿⠀⠠⢀⣼⡿⣻⢀⣠⣼⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ 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⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
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