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⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⢀⡠⠤⠒⠒⠲⠤⣤⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠟⠁⠀⠀⠀⠀⠀⠀⠁⠙⡮⣂⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣢⠊⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠚⣦⣂⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣠⣝⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠱⣥⠄⠀⠀⠀⠀ ⠀⠀⠀⠀⣸⠮⣶⠞⠛⣛⣛⣛⣷⠶⠀⠀⠐⢶⣟⣛⣛⡛⠓⠿⡚⣮⡀⠀⠀⠀ ⠀⠀⢀⢪⠛⠁⠀⣠⣚⣶⣶⡶⡆⡗⠀⠀⠰⡇⣶⣿⣿⣟⡢⠄⠀⠙⣮⢄⠀⠀ ⠀⢀⢦⡋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⣳⢆⠀ ⠀⢨⡧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡤⠀⠀⠀⠈⢯⠄ ⠀⡬⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⠀⡼⠁⠀⠀⠀⠀⠊⡄ ⠀⡏⠀⠀⠀⠀⠀⠀⠀⠀⡦⠤⠤⠤⠤⠤⠤⠴⠒⠋⠁⢰⠇⠀⠀⠀⠀⠀⠀⡇ ⠰⣳⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠚⠀⠀⠀⠀⠀⢀⣴⠛ ⠀⠁⢷⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⢵⠙⠀ ⠀⠀⠀⠀⠩⠗⠲⠤⣤⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣠⡤⠴⠶⠚⠋⠁⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠀⠀⠀⠀⠀⠀⠐⠂⠈⠀⠈⠉⠁⠀⠀⠀⠀⠀⠀⠀

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꒷꒦˘∪︶

⠀⠀⠀⠀⠀⠀⢀⣠⡾⠿⠛⠋⠉⠉⠉⠈⠉⠉⠙⠚⠫⢖⣤⡀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⡴⠟⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⢶⣄⠀⠀⠀⠀ ⠀⠀⠀⣴⠟⠁⠀⠀⠀⠀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣦⠀⠀⠀ ⠀⢀⡾⠃⠀⠀⠀⠀⠀⣾⣿⣿⡄⠀⠀⠀⠀⠀⣀⡀⠀⠀⠀⠀⠀⠀⠘⡷⡀⠀ ⢀⣾⠋⠀⠀⠀⠀⠀⠀⠿⣿⡿⠃⠀⠀⠀⠀⢸⣿⣿⣷⠀⠀⠀⠀⠀⠀⠘⢷⠀ ⣾⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⠿⠋⠀⠀⠀⠀⠀⠀⠀⠈⣧ ⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿ ⣧⠀⠀⣴⡶⢶⣦⡀⠀⠰⣿⡿⠿⠿⠿⢿⣷⣦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿ ⣿⠀⠀⣿⡅⠀⢹⣷⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⢿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿ ⣿⠀⠀⣿⡇⠀⠘⣿⣤⣤⣤⣤⣴⣶⣶⠶⠿⢷⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿ ⣿⠀⢰⡿⠁⠀⠀⠈⠉⠉⠉⠀⠀⠀⠀⢀⣀⣠⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿ ⠙⢷⣼⡇⠀⠀⠀⠀⠀⠀⠀⠀⠛⣿⡟⠛⠋⠉⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⠾⠟ ⠀⢸⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣁⣀⣀⣀⣠⣄⣤⣤⡴⠶⠾⠛⠉⠀⠀⠀ ⠀⠈⢿⣻⣆⡀⠀⠀⠀⠀⠀⢀⣾⣿⡏⠉⠉⠉⠉⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠈⠋⣽⣿⣿⣶⣾⣷⣿⣛⣿⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

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

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡤⠚⠙⣇⠀⠀⠀⠀⠀⣠⠖⠲⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡴⠋⠀⠀⠀⠈⠉⠈⠉⠁⠚⠁⠀⠀⠙⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣠⡞⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣠⡴⠚⠉⠀⢠⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣷⢤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⡴⠉⠁⠀⠀⣠⠋⠀⠀⠀⠀⠀⠀⠀⠀⡶⠂⠀⠀⠲⢄⣀⠀⠀⠀⠀⠘⣆⠉⠓⢤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⣼⠁⠀⠀⠀⣰⠃⠀⠀⠀⠀⠀⠀⠀⠿⠧⠀⠐⠒⠚⠀⠈⠛⠁⠀⠀⠀⠀⠘⣆⠀⠀⠙⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠈⡇⠄⠀⠀⣶⠃⠀⠀⠀⠀⣠⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠒⢤⣀⢸⣧⡀⠀⠘⢻⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⡇⠃⠀⠰⣇⡤⠖⠂⠲⢾⣅⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣈⣿⠋⠀⠀⠀⠈⢙⣆⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⢀⣽⠖⠒⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠉⠀⠿⣧⠀⠀⠀⠀⠀⠘⢧⡀⠀⠀⠀⠀⠀⠀ ⠀⢸⠃⠀⠀⠀⠀⠀⠀⠀⣠⡼⠁⠀⠀⠀⢲⠀⡄⢰⠀⠀⠀⣆⣀⢠⡆⠀⠀⠀⠀⣰⠟⠋⠀⠀⠀⠀⠀⠀⢳⡀⠀⠀⠀⠀⠀ ⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⣹⡆⠀⠀⠀⠀⠈⠓⠲⠛⠀⠀⠀⠘⠯⠟⠀⠀⠀⠀⣠⣧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠳⡄⠀⠀⠀⠀ ⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⢽⡻⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⠟⠈⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣆⠀⠀⠀ ⠀⣼⠀⠀⠀⠀⠀⠀⠀⠀⠈⡇⠹⡄⠀⠀⠀⠀⠀⠀⣠⣤⣤⠀⠀⠀⠀⠀⣰⠋⠀⠀⢸⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣆⠀⠀ ⠀⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⢧⠀⠙⣆⡀⠀⠀⠀⣼⠟⠛⠹⣇⠀⠀⠀⣠⣯⠀⠀⠀⠈⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⡀⠀ ⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠉⠓⠒⠋⠂⠀⠀⠀⠈⠓⠒⠚⠉⠀⠀⠀⠀⠀⢸⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢱⡀ ⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢳ ⠀⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢳⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢘⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⡏⠉⠉⠉⠉⠉⠉⠉⠉⠉⠳⠥⡄⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢸⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀ ⠀⠀⠀⡤⠤⠤⣄⣸⣅⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀ ⠀⠀⠀⢇⡀⠀⠀⠸⣄⠉⠉⠉⠉⠑⠒⠒⠒⠒⠚⠉⠩⡧⢄⣀⡀⠀⠀⠀ ⠀⠀⠀⠀⡨⠋⠓⠒⠄⠭⠷⣒⣒⠦⠖⠒⠒⠒⠒⠒⠁⠀⠀⣈⡵⠀⠀⠀ ⠀⠀⠀⡜⠁⠀⠀⠀⣀⠀⠀⠀⠀⠀⠉⠉⠉⠉⠉⠉⠉⠉⠉⠁⢆⠀⠀⠀ ⠀⠀⢰⠃⠀⠀⠀⢏⠉⣧⠀⠀⠀⠀⠀⠀⠀⠀⡖⠙⣇⠀⠀⠀⠈⡇⠀⠀ ⠀⠀⡅⠀⠀⠀⠴⠒⠻⢥⡀⠀⠀⠀⠀⠀⠀⠀⣘⡶⠾⢥⡀⠀⠀⣇⠀⠀ ⠀⣸⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇ ⠀⡇⠀⠀⠀⠀⠑⠤⣀⡀⠀⠀⠀⠀⠀⣀⣀⣤⠞⠁⠀⠀⠀⠀⠀⠀⡇⠀ ⢰⠁⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠹⣍⠉⢣⠀⡼⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀ ⠈⠓⠢⢄⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠁⠀⠀⠀⠀⠀⢀⠴⠁⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠓⠒⠐⠒⠒⠐⠒⠒⠒⠒⠋⠁⠀⠀⠀⠀⠀

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⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬜⬛⬛⬛⬛⬜⬜⬜⬜⬜ ⬜⬜⬛⬛⬛⬛⬛⬜⬜⬜⬛⬛⬛⬛⬜ ⬜⬛⬛⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬛⬜ ⬜⬛⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬛⬜ ⬜⬛⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬛⬜ ⬜⬛⬜⬜⬜⬜⬜⬜⚪⬜⚪⬜⬜⬜⬛ ⬛⬛⬜⬜⬜⬜⬜⬜⬛⬜⬛⬜⬜⬜⬛ ⬛⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬛ ⬛⬛🟦⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬛ ⬛⬛🟦🟦🟦🟦🟦🟦⬜⬜⬜⬜🟦🟦⬛ ⬜⬛⬛⬛⬛⬛⬛⬛🟦🟦🟦🟦⬛⬛⬛ ⬜⬜⬜⬜⬜⬜⬜⬜⬛⬛⬛⬛⬛⬜⬜ ⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜