⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣤⣶⡇⠀⠀⠀⠀⠀⠀⠀⢸⣶⣤⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠰⠾⠛⠉⣉⠤⠔⠒⠈⠉⠉⠉⠉⠛⠒⠦⢭⣉⡛⠳⠦⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢀⡴⠊⢉⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣈⣙⣳⣦⡀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣠⣖⢁⠤⠊⠁⠀⠀⠈⠓⢤⠀⠀⠀⠀⣠⠔⠉⠀⠀⠀⠉⠙⠿⣦⡀⠀⠀⠀⠀ ⠀⠀⢀⡔⣽⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⢷⡀⠀⡴⠁⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣦⡀⠀⠀ ⠀⢀⠎⢠⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢧⢸⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣷⡀⠀ ⠀⡞⠀⡞⠀⠀⠀⠀⠀⢰⣿⠟⠓⡆⠀⠀⢸⢸⠀⠀⠀⢠⣾⡉⢠⡆⠀⠀⠀⠀⠘⣿⣷⠀ ⢸⠁⠀⡇⠀⠀⠀⠀⠀⠘⠿⠷⠞⠁⠀⠀⣿⠸⡆⠀⠀⠘⢿⣿⠿⠃⠀⠀⠀⠀⠀⣿⣿⣇ ⡟⠀⠀⢻⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠃⠀⠹⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡿⣿⣿ ⡇⠀⠀⠈⢣⡀⠀⠀⠀⠀⠀⠀⠀⢀⣼⠃⠀⠀⠀⠹⣄⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⠃⢨⣿ ⣷⠀⠀⠀⠀⠙⠢⢤⣀⣀⣀⡤⠖⠋⠀⣀⣀⣀⡀⠀⠈⠑⠦⢄⣀⣀⣠⣤⣾⡟⠁⠀⢸⣿ ⢸⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⢞⣿⣿⣿⣯⣷⣤⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⢼⡏ ⠀⢷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡾⠀ ⠀⠈⢷⣄⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⡼⠁⠀ ⠀⠀⠈⢻⣇⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡀⠀⠀⠀⠀⠀⢀⡜⠁⠀⠀ ⠀⠀⠀⠀⠙⢷⣄⠀⠀⠀⠀⠀⣿⠟⠋⠁⠀⠀⠀⠉⠙⢿⣿⡷⠀⠀⠀⢀⡴⠋⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠉⠳⢤⡀⠀⣄⡿⡦⠤⠤⠤⠤⠤⠤⠤⠶⣿⣇⢀⣠⠖⠉⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠚⠿⣿⣿⣧⡀⠀⠀⠀⠀⠀⠀⣴⣿⣿⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠿⠿⣶⣶⣶⣶⣶⣾⡿⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡠⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠱⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣀⣀⣀⡀⣀⣀⢀⣇⣀⠀⡀⡀⡀⡀⣀⢀⡀⣀⣀⣀⣀⣀⣀⣀⣚⣀⣀⣀⣀⢀⡀⣀⣀⣀⣀⡀⡀⠀⠀⠀ ⠀⢴⠮⠟⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠣⡀⠀ ⠀⠘⢆⣀⠀⠀⠤⠒⠈⠁⠉⠈⠁⠉⠈⠈⠁⠡⠁⠉⠉⠉⠈⠃⠃⠁⡑⡐⠠⠠⠄⡂⠒⠒⠋⠉⠉⠉⠉⠉⠉⠉⡁⣀ ⠀⠀⠀⠀⡔⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠐⠢⢀⠀⠀⠀⠀⠀⠀ ⠀⠀⡰⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠑⠄⡀⠀⠀ ⠀⣀⠃⠠⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⡇⠀⠀⠀⠀⠀⠀⢑⠀⠀ ⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⠀⠀ ⠨⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠨⠀⠀ ⠀⢅⠀⠘⠒⠒⠢⠤⠤⡤⣤⣤⢄⣀⣀⡀⣀⣀⣀⣀⣀⡀⡀⢀⢀⠀⡀⢀⢀⣀⣀⡀⣀⣀⣠⡤⠛⠂⠀⠀⠀⠨⠀⠀ ⠀⠈⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡂⠀⠀ ⠀⠀⠀⠑⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡐⠁⠀⠀⠀ ⠀⠀⠀⠀⠀⠁⠄⠠⠉⠉⠉⠒⠢⠄⠄⠄⢀⡀⣀⢀⣀⢀⣀⢀⡀⣀⣀⣀⣀⣀⣀⣀⣀⡀⠄⠐⠀⠈⠀⠀⠀⠀⠀⠀

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