Marabou Stork Emojis & Text

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⠀⠀⠀⠀⠀⠀⢀⣠⠴⠒⠒⠒⠒⠒⠶⠦⠤⠴⠒⠚⠉⣰⠟⠁⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⡞⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠒⡿⠃⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢠⡿⣤⣄⠀⠀⠀⠀⠀⢀⣤⣄⠀⠀⠀⣰⠞⠁⠀⠀⠀⢠⣤⠀⠀⠀⠀ ⠀⠀⢠⡟⠸⣿⡿⢀⠤⢄⠀⠐⣷⣿⣿⡷⠀⠀⢻⠀⠀⠀⢀⡴⠋⠘⡇⠀⠀⠀ ⠀⠀⢸⠈⠲⡬⢠⡏⠀⢀⡷⠀⠨⣭⠭⠖⣇⠀⣾⠀⠀⡴⠋⠀⠀⠀⣧⠀⠀⠀ ⠀⠀⢸⣷⠞⠁⠀⠳⠖⠋⠀⠀⠀⠙⠶⠶⠃⡼⢿⣠⠎⠀⠀⠀⠀⠀⣿⠀⠀⠀ ⠀⠀⢸⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡾⠃⠀⠀⠀⠀⠀⠀⡟⠀⠀⠀ ⠀⠀⡼⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⡄⠀⠀⠀⠀⠀⢠⠃⠀⠀⠄ ⢀⣰⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠉⠉⠉⠉⠲⢄⡀⢀⣠⡷⠀⠀⢠ ⢸⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠓⠧⠤⢾⢀⠏ ⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢨⠏⠀ ⢸⠀⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡏⠀⠀ ⠈⢷⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠢⡀⠀⠀⠀⠀⠀⠀⢀⣤⡏⠀⠀⠀ ⠀⠈⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠑⠲⠶⠶⠖⠊⠁⣴⠇⠀⠀⠀ ⠀⠀⠘⢧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣾⠁⠀⠀⠀⠀ ⠀⠀⠀⠈⠻⢦⣀⠀⠀⠀⠀⠀⠀⣠⣎⡀⡀⠀⠀⣀⣰⢶⠶⠚⠁⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣰⠛⠉⡙⠛⢛⣷⠖⠒⢖⣾⠟⢛⠛⠺⣿⣏⠁⠀⠀⠀⠀⠀⠀⠀⠀

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⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣤⣤⣤⣀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣾⣿⣿⣿⣿⣿⣿⣷⣆⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⠋⠙⢿⣿⣦⣄⡀ ⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣤⣤⣾⣿⡿⠟⠉ ⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀ ⠀⠀⠀⠀⠀⠀⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀ ⢤⣤⣤⣤⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠁⠀⠀⠀ ⠀⠙⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠋⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠉⠙⠻⠿⠿⣿⣿⣿⣿⣿⣯⣄⡀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠻⠛⠛⠻⢿⡿⠁⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⣰⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣴⡾ ⠀⠀⣿⡍⠛⠲⣶⣄⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣠⡴⠞⠉⣠⡞⠀⠀ ⠀⠀⠘⣽⢷⣦⣌⣈⠋⡚⠿⣦⡀⠀⠀⣴⣶⡄⠀⠀⣠⡶⠚⠛⣙⣭⠠⣤⣶⣯⠆⠀⠀⠀ ⠀⠀⠀⣼⣷⣀⠀⠀⠈⠀⠀⠀⢻⡇⠺⡿⠛⣿⡅⠀⢿⠀⠀⣼⠿⣫⣭⣠⣤⡶⠂⠀⠀⠀ ⠀⠀⠀⠀⠉⠛⠿⣹⣾⠔⠃⠀⠈⠳⠾⠏⠀⠻⣷⡺⠋⠀⣤⣸⣷⣶⡾⠖⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠈⠒⠷⣿⡻⣞⣀⣄⣀⣀⡄⠀⠀⣠⣄⣸⡿⣾⣿⡽⡄⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⠟⠯⣽⢿⡿⠃⠀⢀⣿⡙⠑⠙⠛⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣯⣦⣾⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣼⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⢩⡿⠘⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣽⡃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣠⡖⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⢿⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣰⣿⢟⡉⠀⣩⢝⠿⣦⡀⠀⠀⠀⠀⣾⣆⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣸⣿⠃⢫⣗⠂⠠⣷⣌⡽⣿⡆⠀⠀⠀⣿⠉⢳⡄⢀⣀⣀⣠⠄⠀ ⠀⠀⠀⠀⢀⣿⡏⠀⠸⣿⠷⠇⠙⠛⠁⣿⣤⣀⣀⣀⣻⣄⣸⠟⠉⢩⣿⠏⠀⠀ ⠀⠀⠀⢀⣾⣿⡀⠀⠀⠀⣰⣦⣤⣤⣤⣄⣉⣉⣉⣛⣛⣿⣿⡶⠿⣿⣧⣄⣀⡀ ⠀⠀⠀⠸⡿⣿⣦⣤⠀⠚⠛⠛⠉⢉⣩⣿⠟⠉⠉⠉⢉⣿⡏⣿⡏⠉⠉⠉⠉⠁ ⠀⠀⠀⠀⠀⠋⠽⣿⣆⡀⠀⢀⣴⡿⠋⠀⠀⠀⠀⢀⣿⣿⠀⣿⡇⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠛⣿⡿⠀⢸⣿⠇⠀⠀⠀⠀⢠⡿⠃⢹⡄⢸⣷⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⣤⣾⡿⠁⢀⣿⡟⠀⠀⠀⠀⣰⡿⠁⠀⠸⣇⠈⣿⡆⠀⠀⠀⠀ ⠀⠀⠀⠀⣴⣿⡿⠋⠁⢀⣾⡟⠀⠀⠀⠀⢀⣿⠃⠀⠀⠀⠻⠀⢸⣿⠀⠀⠀⠀ ⠀⠀⠀⣾⡿⠋⠀⠀⠀⠘⢿⣿⣦⣄⠀⠀⢸⣿⠀⠀⠀⠀⠀⠀⠀⣿⡀⠀⠀⠀ ⣴⡾⠗⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠿⣷⣄⢸⣿⠀⠀⠀⠀⠀⠀⢸⣿⠀⠀⠀⠀ ⢰⠟⡥⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠀⢿⣧⣀⠀⠀⢀⣠⣾⠏⠀⠀⠀⠀ ⠀⠊⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠻⠿⠿⠿⠟⠁⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⢀⣤⡖⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⠀⠀⣼⣷⣶⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣷⣾⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⠛⢿⣿⣿⣷⣦⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⣿⣿⣿⡿⠋⠉⠀⠀⠈⢉⣻⠿⣿⣿⣦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣾⣿⣿⡿⣫⣴⣤⠀⠀⠀⢴⡿⣛⣥⣬⡻⣿⣿⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⣿⡟⠀⠟⢁⣴⠶⠦⣄⠀⢰⣿⣤⣄⠙⡜⣿⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀⣿⣿⡏⠙⠻⣷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⠁⠀⠀⣾⣿⣶⣄⠘⡆⢸⣿⣿⣿⣇⡇⢸⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⣿⣿⠁⠀⠀⢻⣿⣄⣠⣴⣶⣾⣿⣿⣿⣿⠋⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⠇⠀⠀⠀⢿⣿⣿⣿⣦⡷⠀⠛⠛⠛⠛⠃⢸⣿⣿⣃⠀⠀⠀⠀⠀⠀⠀⢹⣿⡄⠀⠀⣸⣿⠟⠋⠁⠀⢨⣿⣿⣿⠋⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⣿⡟⠀⠀⠀⠀⠘⠛⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠈⠿⠿⣿⣿⣿⣿⣷⣶⣶⣤⣼⣿⣿⣦⣴⣿⠋⠀⣀⣀⣴⣿⣿⡿⠃⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣄⣀⣀⣀⣀⣀⣀⣀⠀⠀⠀⠀⠉⠉⠙⠛⠛⠻⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣄⣀⡀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢀⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⢀⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣶⣶⣾⣿⣿⣿⣿⣿⣿⣿⣷⣶⡆ ⠀⠀⠀⠀⠀⠀⠈⣿⣿⣿⣿⣿⣧⣤⣤⣦⠀⠀⠛⠛⠛⠛⠋⠉⠉⠉⠉⠉⢉⣩⣿⣿⡿⠟⠉⠉⠉⠉⠉⠀⠈⢉⣿⣿⡿⠉⢹⣿⣿⠋⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠘⠋⢀⣿⣿⣿⣿⣿⣯⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣶⣿⣿⠿⠋⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⡇⠀⢸⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠁⢼⣿⣿⣿⣿⣇⠀⠀⠀⠀⠀⢀⣴⣿⣿⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⡇⠀⢸⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⣼⣿⣿⣿⣿⡇⠀⠀⠀⣸⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⠟⢻⣿⡇⠀⢸⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢻⣿⣿⣿⡇⠀⠀⠀⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣿⡿⠃⠀⢸⣿⡇⠀⠈⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣼⣿⣿⡿⠁⠀⠀⣸⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⣿⡿⠁⠀⠀⠀⣿⣿⠀⠀⢹⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣾⣿⣿⣿⡿⠁⠀⠀⢠⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⡿⠁⠀⠀⠀⠀⢻⣿⡇⠀⠈⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⣿⣿⣿⣿⠟⠁⠀⠀⢠⣿⣿⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⠁⠀⠀⠀⠀⠀⠈⣿⣷⠀⠀⠘⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⣿⣿⣿⡿⠛⠁⠀⠀⠀⢠⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠘⠿⠀⠀⠀⢿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢠⣾⣿⣿⣿⠿⠋⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣦⣀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢿⣿⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣿⣿⣿⣿⣿⣦⣄⠀⠀⠀⠀⢸⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀ ⠀⣠⣤⣶⣶⣤⠈⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠻⢿⣿⣿⣿⣿⣷⣄⠀⠀⠘⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀ ⢾⣿⣿⡿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠻⢿⣿⣿⣷⡀⠀⢿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀ ⠀⣩⣵⣿⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠿⡿⠀⠸⣿⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀ ⠰⣿⡟⢁⣴⡷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣿⣿⣿⣦⣄⠀⠀⠀⠀⠀⣀⣤⣾⣿⣿⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⣴⠿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠿⠿⠿⠿⠿⠛⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⣀⣀⣀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠈⢿⣿⣿⣿⣿⣿⣷⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⢠⣾⡿⢿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⢸⣿⣤⣤⣿⣿⣶⣶⣶⣶⠀⠀⠀⠀ ⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⣼⣿⡟⠛⠋⢀⣼⣿⣦⡀⠀⠀⠀⠀ ⠀⠀⠀⠘⣿⣿⣿⣿⣿⣿⣿⣷⡀⠀⣠⣾⣿⣿⠁⠀⢀⣾⣿⣿⣿⣿⢿⣶⣄⠀ ⠀⠀⢀⣠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⢀⣾⣿⣿⣿⣿⡁⠀⠈⣿⡇ ⠀⣰⣿⠿⠋⠉⠛⠛⢻⣿⣿⣿⣿⣿⣿⣿⠏⠀⠀⣾⣿⣿⣿⣿⣿⣿⣶⣶⠟⠁ ⢸⣿⡏⠀⠀⠀⢀⣠⣾⣿⣿⣿⣿⣿⠟⠁⠀⠀⠀⠹⣿⣿⣿⣿⡿⠟⠋⠀⠀⠀ ⢿⣿⣶⣶⣤⣴⣿⣿⣿⣿⣿⠿⠛⠁⠀⠀⠀⠀⠀⠀⠀⠉⠉⠁⠀⠀⠀⠀⠀⠀ ⠀⠀⠉⠉⠉⠉⠉⣽⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⣴⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢀⣤⣶⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠈⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⣰⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣴⡾ ⠀⠀⣿⡍⠛⠲⣶⣄⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣠⡴⠞⠉⣠⡞⠀⠀ ⠀⠀⠘⣽⢷⣦⣌⣈⠋⡚⠿⣦⡀⠀⠀⣀⣤⠀⠀⠀⣠⡶⠚⠛⣙⣭⠠⣤⣶⣯⠆⠀⠀⠀ ⠀⠀⠀⣼⣷⣀⠀⠀⠈⠀⠀⠀⢻⡇⠺⡿⠛⣿⠀⠀⢿⠀⠀⣼⠿⣫⣭⣠⣤⡶⠂⠀⠀⠀ ⠀⠀⠀⠀⠉⠛⠿⣹⣾⠔⠃⠀⠈⠳⠾⠏⠀⠻⣶⡺⠋⠀⣤⣸⣷⣶⡾⠖⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠈⠒⠷⣿⡻⣞⣀⣄⣀⣀⡄⠀⠀⣠⣄⣸⡿⣾⣿⡽⡄⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⠟⠯⣽⢿⡿⠃⠀⢀⣿⡙⠑⠙⠛⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣯⣦⣾⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣼⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⢩⡿⠘⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣽⡃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣾⣿⣿⣶⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣤⣴⣦⣼⣿⣷⣻⡾⣽⢿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⣿⣯⡿⣽⣯⣿⢿⣿⣯⣿⢾⣿⣄⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⡿⣟⡿⣽⣻⡾⣽⡾⣟⣾⢿⣷⣦⡀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣾⡿⣯⣷⢿⣳⡿⣯⡷⣟⣷⣻⣟⣾⣽⣻⣷⣦⡀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢠⣾⣿⢯⣟⣷⢯⣟⣯⣟⡷⣿⢯⣷⣟⣾⣽⣞⣯⡷⣿⢿⣆⠀⠀ ⠀⠀⠀⢀⠀⠀⣰⣿⡿⣽⣯⢿⣾⣻⢯⣷⣻⢿⣽⣻⡾⣽⣾⣳⣯⡷⣟⣯⣿⣻⣧⡀ ⢀⣄⠰⣿⣧⣰⣿⣯⣟⣷⢯⣿⢾⣽⣻⢷⣻⣿⣿⣷⣿⣟⣾⢷⣯⣟⣿⣳⣯⣿⣿⣧ ⠾⣿⣿⣶⣿⣿⣟⣾⣽⢾⡿⣽⣻⣞⣯⣿⣻⢿⣿⠛⠿⠿⢿⣿⣿⣿⡿⠿⠿⢿⣿⣿ ⠀⠀⣶⡶⢻⣿⣻⢾⡽⣯⣿⡽⣷⣻⢿⡾⣽⣿⣇⠀⠀⢸⣿⠀⣼⠰⠷⠀⠀⢸⣿⣽ ⠀⠀⠈⠀⢸⣿⣽⣻⣟⣷⢯⣟⣷⡿⣯⣟⣿⣟⣿⣦⣄⡠⠔⠋⠁⠉⠓⢤⣤⣾⡿⣾ ⠀⠀⠀⠀⠸⣿⣷⣻⢾⣯⢿⣻⡾⣽⣟⣾⡽⠾⠯⢿⡏⠀⠀⠀⠀⠀⠀⠀⠙⢿⣽⣿ ⠀⠀⠀⠀⠀⢿⣿⣻⡾⣽⡾⣯⡷⠟⠛⠉⠁⠀⠀⠈⢷⡲⠶⠦⠤⠤⢤⢤⣀⣨⣿⡟ ⠀⠀⠀⠀⠀⠈⠻⣿⣽⣷⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢤⡀⠀⣠⡴⣾⣿⣿⡿⠁ ⠀⠀⠀⠀⠀⠀⠀⠈⠻⢷⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠚⠁⣀⣼⡿⠋⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠛⠷⢶⣶⣤⣤⣤⣤⣤⣤⣴⡶⠾⠛⠋⠁⠀⠀⠀⠀

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𓅢

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣤⣄⡀⠀⢀⣠⣤⣥⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⢶⣦⡄⠀⠀⠀⣴⡟⢁⠠⠘⠻⣶⠏⠉⢀⠐⢻⣧⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣄⣀⠀⠀⣸⠃⠀⠀⠸⣹⠀⠀⠐⣿⠄⠠⠀⠐⡀⠘⢀⠈⠀⡀⢸⣿⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢬⣾⠟⠋⠉⠻⣮⡇⠀⠀⠀⠀⢿⠇⠀⠀⠹⣷⣀⠁⠄⠐⠈⡀⢀⠂⢤⣿⠏⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣟⣗⠀⠀⠀⠀⢿⡇⠀⠀⠀⢀⡏⠀⠀⠀⠀⠈⠻⣮⣔⡠⠐⢠⣄⣾⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⡽⡯⢆⠀⠀⠀⣽⡇⠀⣀⣼⣿⣁⣀⣀⣀⡀⠀⠀⠀⠙⠳⠿⠟⠉⠀⢠⡶⠛⠻⢦⡴⠟⠻⢷⡄ ⠀⠀⠀⠀⠀⠀⠀⠑⣝⣛⢶⣤⣤⣾⣿⠿⠿⠟⠛⠛⠛⠛⠛⠛⠿⢷⣶⣦⣄⡀⠀⠀⠀⢿⡆⠁⠀⠌⠁⡀⢂⣹⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⣨⣷⣿⠟⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠛⢿⣷⣄⡀⠈⠿⣧⣄⠂⠄⣐⣶⡿⠃ ⠀⠀⠀⠀⠀⠀⢠⣾⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣿⣦⡀⠈⠛⠷⠾⠛⠉⠀⠀ ⠀⠀⠀⠀⠀⣴⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣿⡄⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣼⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⣿⡆⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣼⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⡀⠀⠀⠀⠀⠀ ⠀⠀⢠⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣧⠀⠀⠀⠀⠀ ⠀⠀⣼⡿⠀⠀⠀⠀⠀⠀⣠⣤⣶⣶⡦⠀⢀⣴⡿⠿⠿⢷⣦⡀⠀⣶⣶⣶⣤⡀⠀⠀⠀⢀⣠⣤⣾⣿⡄⠀⠀⠀⠀ ⠀⣰⣿⣁⣤⣴⢦⣀⡀⠀⠉⠉⠉⠁⠀⠀⠘⠻⠿⠿⠿⠿⠟⠁⠀⠀⠉⠉⠉⠁⠀⣐⡺⠋⠉⠀⠀⢻⣷⡀⠀⠀⠀ ⠀⣿⡏⠁⠀⠀⠈⠑⠻⡷⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣞⡟⠁⠀⠀⠀⠀⠘⣿⡇⠀⠀⠀ ⢀⣿⡇⠀⠀⠀⠀⠀⠀⠀⢦⢓⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡬⣳⠁⠀⠀⠀⠀⠀⠀⣿⡇⠀⠀⠀ ⠀⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⡟⢥⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣯⠬⠀⠀⠀⠀⠀⠀⣸⣿⠃⠀⠀⠀ ⠀⠈⢿⣿⡂⠀⠀⠀⠀⠀⢠⢇⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣫⣞⠀⠀⠀⠀⠀⣼⣿⠏⠀⠀⠀⠀ ⠀⠀⠈⠻⣿⣦⣀⠀⠀⣠⢗⡏⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⡻⣥⠀⢀⣤⣾⡿⠃⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠙⠻⢿⣿⣶⣥⣤⣤⣤⣤⣀⣄⣠⣀⣄⣤⣠⣤⣄⣠⣤⣤⣤⣤⣤⣾⣿⣿⡿⠟⠉⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠙⠋⠛⠛⠛⠛⠛⠉⠉⠉⠉⠙⠙⠛⠛⠛⠙⠋⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡠⠖⠉⠁⠀⠀⠀⠀⠈⠉⠒⢄⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠔⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢢⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠔⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢱⡀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠎⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⡀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢠⠃⠀⠀⠀⢠⣴⣠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣖⣦⠀⠘⡄⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢠⠆⠀⠀⠀⠀⠈⠛⠋⠀⡠⠐⠈⠁⠁⠀⠈⠉⠐⢬⠉⠀⠀⢣⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢰⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⢧⡒⠂⡀⠄⠠⠤⡐⢨⠟⠀⠀⠀⠀⢸⠀⠀⠀ ⠀⠀⠀⠀⠀⢠⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠒⠒⠒⠒⠋⠁⠀⠀⠀⠀⠀⠀⢱⠀⠀ ⠀⠀⠀⠀⠀⡆⠀⠀⠀⠀⣠⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇ ⠀⣠⣤⣶⣾⣇⠀⠀⠀⣼⣿⣿⡷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡅⠀ ⢰⣿⣿⣿⣿⣯⣿⣶⣾⠿⣿⣿⣿⣿⣧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀ ⠀⠻⡻⣯⠯⡟⠚⠹⡻⣶⡿⠟⣿⣿⣿⣿⡦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠎⠀⠀ ⠀⠀⠉⠀⠀⠀⠀⠀⠱⡍⠀⠀⠀⠻⠜⠊⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠊⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢳⡒⢒⡒⠠⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣾⣿⣆⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⢻⣿⣿⣛⣦⡑⣤⣀⣀⣀⣀⣀⣤⣤⡔⠒⠋⠉⠉⠛⠉⠁⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠛⠟⠛⠋⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡴⠚⠉⠙⢦⡀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣴⡯⢤⡀⠀⠀⠀⠀⠈⢧⡀ ⠀⠀⠀⠀⠀⠀⣸⢹⢸⢇⡇⠀⣠⠤⠤⣄⡀⢹ ⠀⠀⠀⠀⠀⢰⠃⠈⠉⠉⠀⢠⠇⠀⠀⠀⢹⣾ ⠀⠀⠀⠀⠀⡞⠀⠀⠀⠀⠀⠀⣇⠀⠀⠀⠀⢸ ⠀⠀⠀⠀⢸⠁⠀⠀⠀⠀⠀⠀⠘⢦⠀⠀⢀⠇ ⠀⠀⠀⠀⡎⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⠀⣾⠁ ⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡿⢹⠀ ⠀⠀⠀⢸⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀ ⠀⠀⠀⣸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀ ⠀⠀⢠⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀ ⠀⢠⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠂ ⠸⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀wot doing??⠀

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⠀⠀⣀⠤⠤⠤⢄⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⡠⠋⠒⠀⠟⠀⠇⠀⠀⠀⠀⠀⠀⠀⠀ ⠓⠐⠒⡖⠒⠂⠀⣇⣀⡀⠀⠀⠀⠀⠀⠀ ⠀⠀⢰⠃⠀⠀⠀⡇⠀⠈⢳⠀⠀⠀⠀⠀ ⠀⠀⠈⣇⠀⠀⠀⠈⠓⣄⣀⡧⡀⣀⡀⡀ ⠀⠀⠀⠀⠉⡗⠦⢶⠒⠒⠒⠉⠉⠁⠀⠀ ⠀⠀⠀⠀⠒⠃⠠⠼⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣤⣤⣀⣀⡀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⡿⠋⠁⠈⠉⠛⢻⣶⡀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⠋⠀⠀⠀⠀⠀⠀⠀⢹⡇⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⡿⠁⠀⠀⢰⣿⠂⠀⢀⣤⣼⣿⡄⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⡿⠁⠀⠀⠀⠀⠀⣠⣶⠿⡛⡜⢿⣷⡀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⡿⠁⠀⠀⠀⠀⢀⣾⡿⠿⠿⣷⣼⣢⢻⣿⡀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡇⠀⠀⠀⠀⠀⣼⠇⠀⠀⠀⠘⠻⣿⣤⣿⡃ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⠀⠀⠀⠀⠀⢰⡏⠀⠀⠀⠀⠀⠀⠈⠻⠟⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡟⠀⠀⠀⠀⠀⣸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⠇⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢀⣤⣶⢶⣦⣤⣀⣀⣀⣄⣠⣤⣤⣤⣤⣤⣴⡾⢿⡄⠀⠀⠀⠀⠀⢸⡷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢀⣾⠏⠀⠀⠈⠉⠉⠉⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠈⢻⣆⡀⢀⣀⣤⠾⣧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣻⢿⠉⠀⠀⠈⠻⣷⣄⠀⠀⠀⠀⠀⠀⠀ ⠀⢻⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡿⣽⣻⠀⠀⠀⠀⠀⠈⢻⣧⠀⠀⠀⠀⠀⠀ ⠀⠀⠹⣧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣻⢷⣿⠀⠀⠀⠀⠀⠀⠀⣿⡇⠀⠀⠀⠀⠀ ⠀⠀⠀⠙⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡷⣯⣿⢾⠀⠀⠀⠀⠀⠀⠀⢻⡇⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠘⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⢿⡽⣟⡿⠀⠀⠀⠀⠀⠀⠀⢸⣇⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠸⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣯⣿⡽⣯⠇⠀⠀⠀⠀⠀⠀⠀⣸⡟⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢹⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠓⠋⠁⠀⠀⠀⠀⠀⠀⠀⢠⣿⠁⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢻⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⠿⠁⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠈⢿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣦⡀⠀⠀⠀⠀⣀⣀⣀⠀⠀⠀⢀⡀⠀⠀⣀⣼⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢻⣶⣶⣶⣿⡟⠉⠛⠛⣶⠛⠛⢻⣿⣾⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢘⣿⢩⡙⣿⣄⠀⠀⠀⠀⠀⠀⣾⣏⢹⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⡟⢢⠱⡩⢿⣆⠀⠀⠀⠀⢸⣿⢄⠫⡹⠟⠿⣻⣷⣦⡀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣋⠬⢥⢣⡑⢎⣿⣦⠀⠀⠀⠀⠻⣯⣶⣡⢋⠖⡡⣾⣾⠗⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢾⣯⣴⣿⣶⡣⣼⣦⣙⣿⡆⠀⠀⠀⠀⠈⠛⠿⣾⣼⣷⣿⡿⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠀⠘⠿⠟⠛⠛⠋⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠋⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣶⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⠷⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣠⡶⢰⡟⠀⢹⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣿⢿⣸⡇⠀⢸⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣠⣿⠈⢧⣇⠀⠀⢧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣿⣯⣇⠈⢿⡆⠀⠘⣧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢻⡀⢻⡄⠈⢻⡄⠀⢸⢿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣰⡌⣧⠀⠻⡄⠀⠻⣆⣸⠀⢻⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠰⣿⡷⣘⣆⠀⠘⣦⡀⢹⣟⠀⠈⢷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢹⡁⠉⠸⣧⠀⠸⣿⠛⢹⡄⠀⣸⣿⣤⣄⠀⠀⠀⠀⠀⠀⠀⣀⢠⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢠⣦⡀⢻⡀⠀⠹⣷⣄⣸⡇⠘⢿⣽⡯⣇⢈⣷⣧⠀⠀⠀⠀⠀⣸⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠘⣿⠻⢦⡳⣄⠀⠙⣯⠛⢷⡄⠈⣻⢹⣜⣿⣿⡿⠃⠀⠀⢶⢶⠓⢋⢻⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢀⠙⣧⠀⠙⢮⣷⡾⢿⣧⡀⠙⢿⡿⢳⣿⣿⠋⠀⠀⠀⠀⡀⠛⢶⠀⠀⠙⢦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢸⣷⣈⠳⣄⠀⠙⠿⣆⠈⠛⢦⣀⢹⣄⣻⡇⠀⠀⠀⠀⠀⠉⠀⢬⣷⠀⣤⡄⢻⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣿⣍⠑⠮⣳⠄⢸⡯⢽⣦⣄⡙⠻⡍⠻⡇⠀⠀⠀⠀⠀⠀⢀⡿⢿⡀⠛⠧⠀⢸⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠈⠻⣦⡀⠈⠻⢶⣍⢦⣈⣉⠉⠑⢿⣶⣽⡆⠀⠀⠀⠀⢤⡟⠀⠟⢁⣦⣀⣴⢚⢑⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀ ⠀⠀⠰⣶⡦⣤⠁⠀⢀⣀⣹⣷⣬⣉⣉⣳⣾⣿⣯⣹⢤⣀⣀⣤⠾⠶⠶⣤⣄⢻⠉⠒⢤⣳⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣴⡿⠀ ⠀⠀⠀⠈⠛⢦⣤⠀⠀⠀⣠⣞⣛⣉⢉⣿⣿⣿⣛⠯⠉⠈⠉⠀⠀⠀⠀⠈⢹⡟⢧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡤⠔⠊⣱⡿⣡⡄ ⠀⠀⠀⠀⣤⣀⣀⣠⣤⡤⠤⠖⠚⠛⠉⢻⣇⠸⣿⣿⣦⡤⠄⠀⠀⣀⣤⠀⣿⠁⢸⣿⡓⠦⠤⣤⣄⡀⢀⣀⣤⣤⣴⡖⠛⠉⠀⣠⡴⠯⢿⣿⠇ ⠀⠀⠀⠀⠛⢷⣦⣤⣤⣄⣤⡤⠄⠐⠋⢀⣽⠷⣾⣭⣉⠙⠛⣟⣿⣉⡀⠀⠈⢧⡘⢻⣟⡓⠲⢶⣶⡟⠋⠥⣴⣾⣯⣤⠤⠒⠛⠁⢀⣤⠟⠁⠀ ⠀⠀⠀⠀⠀⠀⠘⢿⣯⡥⠤⠤⢤⡤⠖⠋⠀⠀⠈⠉⠻⣿⣿⣿⣿⣿⣧⡀⠀⠀⡇⢸⣿⡙⠢⠤⢼⣟⡛⠳⣶⣾⣯⣤⣄⣤⣤⣞⣫⣤⣶⠇⠀ ⠀⠀⠀⠀⠀⠀⠀⠘⠷⣶⣞⣋⣀⣀⢤⡞⠀⢀⡠⠆⠀⠀⠀⠀⣉⣿⡿⠀⠀⢸⠃⢸⣿⣯⡛⠶⣎⣈⠛⠿⣾⣭⣉⣉⣉⣁⣀⡤⠾⠛⣁⡀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⢩⣷⣶⡉⢁⡴⠋⢀⡀⢀⣠⡴⠋⠉⠀⠀⢀⣴⠋⠀⢸⣿⡻⢿⡶⢬⣻⣯⣙⠛⠆⠀⠉⠉⠉⣉⣽⣾⠿⠋⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢐⣚⣛⣿⣽⡷⣾⡿⠋⠀⠀⠀⠀⠙⢿⣅⠀⣠⣿⡿⣵⣦⣙⢷⣾⣿⡟⠳⠄⣀⣀⣉⣐⣲⣶⣾⡷⠃⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⡿⣿⢿⣯⡿⠿⢛⣁⠀⠤⢶⣶⣄⣀⠀⠀⢻⣿⢫⣽⣟⣮⣷⣿⣟⠻⢦⣈⠐⠦⣈⡉⠹⠿⣯⣿⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢀⣴⡞⢋⣭⢟⡿⠋⠁⣠⣴⣿⣿⣦⣤⣤⣈⠉⠉⠀⠀⠀⢻⣶⣿⡟⢧⡙⠣⡈⠰⢄⡈⠛⣶⡚⣿⣿⣿⠋⠉⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠠⡾⠁⣾⠏⠀⠀⣠⣴⣿⡿⠞⠛⠛⠛⠉⠉⠉⠉⠛⠓⠦⣤⣼⠋⠻⣿⣶⣿⣲⢬⣷⣤⣨⣽⣿⣟⡿⠂⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣀⣴⡞⣡⣾⠏⠀⣠⣾⡿⣿⣿⢥⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠀⠁⠀⠈⠉⠀⠀⠉⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢀⣼⠟⣩⠟⣿⣷⡿⢿⡿⣿⠁⣿⢸⣇⠑⠢⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠈⠁⣾⣿⠟⢱⣯⣴⣿⠃⡇⢰⡿⠀⢛⢧⣄⠈⠻⣦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⡴⣻⣿⣾⠋⠀⣼⣿⣼⣧⣸⡇⠀⠈⣆⠈⠲⣄⠈⠻⢦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⣀⠾⠛⢫⠇⣿⢀⣼⢿⡿⠇⢸⢻⣿⣦⡀⠘⢦⠀⠘⢶⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠉⠀⢠⠏⠀⣋⣼⡇⢸⡇⠀⣾⣸⣿⡾⣿⡦⣌⡃⠀⠘⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢠⣿⠀⣼⡏⢹⠇⢸⠁⣤⣿⣿⠉⢳⣾⣷⣦⠙⢦⡀⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢀⣿⡟⢠⡿⢠⡟⢠⡏⠀⡟⢻⡟⢷⡄⠹⡝⣦⡀⠈⠉⠚⢿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⣾⣾⠃⠙⣡⣾⣡⡾⣧⠀⣇⢸⣧⡈⠳⣄⠸⡌⢻⣦⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠸⣯⣾⣶⢟⡏⣿⣿⣧⡾⣾⣿⣸⣿⣿⣦⣈⠳⢿⡄⢻⡳⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠾⠟⠋⠁⢸⠀⠈⡇⢸⡇⡆⠀⣇⠀⢹⣿⡿⣷⣤⣙⠀⢙⡛⠳⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢹⡇⠀⢸⣈⣿⣿⣶⣿⣠⡘⢯⡻⣾⣷⣍⡙⠚⠿⠿⠶⠶⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢸⡇⠀⠈⠉⢿⣿⠹⡟⢏⢧⡈⢷⣝⡻⢍⡙⢦⣀⠀⠀⠀⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠁⠀⠀⠀⢸⣼⣷⠠⡘⢿⣷⣦⡙⢻⡲⢶⣶⣛⡓⠒⠀⢀⣈⡩⠿⠛⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣇⢻⣧⠱⡌⢿⣮⠛⢦⣙⠦⣄⠈⠉⠉⠁⠀⠀⢀⣀⠤⠤⠤⠤⠤⠶⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡼⣿⡷⡜⢦⣉⢷⣄⠈⠛⠲⢽⣦⣤⡴⠾⠿⠭⠄⠀⠀⠀⠀⠀⠠⣤⡇⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣾⢳⡈⠢⡈⠛⠻⢧⣽⣶⣄⣀⡈⠙⠓⠒⠶⠤⣤⡤⠤⠔⠚⠛⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠣⣧⡀⠈⠳⣤⣄⠀⠀⠀⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠀⠀⠀⠉⠻⢽⣒⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠙⠛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠠⣀⠑⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢀⡀⠤⡙⠄⢡⡀⠘⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠦⢹⣦⣌⢆⠀⢡⡀⢣⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠈⢢⠉⢻⣿⣷⡄⢳⡌⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢨⣮⣑⢤⡙⢧⡳⣌⣷⡱⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠑⡭⣳⢿⣗⠻⣷⣻⣷⠷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢙⣿⣿⣟⠓⢽⣿⡟⠈⡇⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢭⠿⣿⣷⣦⣹⣇⢲⣿⢨⠃⡠⠄⠠⢄⡀⠀⠀⠀⠀⠀ ⠀⠀⠀⠐⢺⣿⣶⣾⣿⣯⣿⢯⣇⡎⢄⡀⠀⢠⡬⠴⠶⠦⠤⡄ ⠀⠀⠀⠀⢲⣉⣽⣶⣿⣿⣯⣿⣷⣟⢦⣣⠗⠁⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠘⠉⣩⠵⣺⣾⣿⣿⣿⣷⣿⣻⠊⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢠⠪⣝⣿⣿⣿⣿⣿⠞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠠⠃⣔⣿⢹⣉⢉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢀⣼⣿⣿⣿⠘⡇⣄⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢀⣾⣿⣿⡟⣿⡀⠸⡌⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⡎⣼⡟⣿⠇⡿⡇⣥⢱⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠹⠏⠈⡿⠀⢿⠇⠃⠳⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

you're wrong, if we remain silent about the genø ç id e there then their news will slowly sink and disappear, no matter how small our efforts are, we will continue to speak up against the war crime <3❤️❤️☆ 𝐀𝐋𝐋 𝐄𝐘𝐄𝐒 𝐎𝐍 𝐏𝐀𝐋𝐄𝐒𝐓𝐈𝐍𝐄

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⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢷⡽⣤⡞⠛⠻⢿⣿⣿⣿⢿⣿⡶⣿⣉⠩⣿⢟⢹⣿⣇⡼⣿⣿⣿⣟⣻⡿⠯⠭⠿⠿⠿⠿⣿⣟⣿⣿⣯⣶⣯⢷⣽⣿⣿⣿⣾⣧⣿⣤⡀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣶⣷⣧⣓⣾⣛⡠⢟⠛⣻⣇⣮⣬⣥⣿⣾⣼⣿⣿⣿⣹⣿⡿⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠷⣾⣿⣿⣷⣎⢿⣿⣿⣿⣿⣿⣿⣭⡻⣯⣍⡛⣷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⣴⣿⣿⣧⢻⣷⣦⣬⣻⣧⣿⣿⡿⢷⣿⣿⣿⣾⢿⣿⣿⡿⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢷⣽⢿⣿⣿⠟⡿⣿⣿⣿⣷⣵⣞⣾⡽⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⠿⣿⢿⠞⣻⣏⠿⣿⣿⣿⣿⣿⣿⣷⣾⣿⣿⣿⣏⣾⡟⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⣿⣿⡙⢼⢻⢻⣿⣛⣿⣿⡞⣷⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⠶⣛⣵⢻⣦⣓⣼⣾⣿⣾⡿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣻⣿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⢿⣷⣮⣝⣦⣿⣿⢛⣗⣺⣿⣾⢿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⡞⢛⣯⢕⠻⢙⣧⣽⣿⣿⣿⣿⣿⣿⣿⣧⣝⡋⠻⣿⢿⣯⣿⠟⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣤⣿⣿⣿⢋⣻⡜⣿⠳⣜⡳⢿⣋⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⢿⠿⣅⣼⣸⣾⣿⣿⢿⣻⣿⠿⠉⠉⠉⠉⠛⠿⢦⠷⠿⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣤⠾⢫⣟⡷⣶⣻⣧⠯⣜⣻⡽⣿⢟⣾⣧⣇⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⣤⢶⡿⣻⡵⣻⠾⣿⡿⢟⣽⣿⠾⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡴⢶⡚⠋⠉⣰⣴⣿⣿⣾⣿⣿⢿⣶⣼⣶⣽⣱⢯⢞⣩⠿⣍⡓⠶⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣤⣾⣿⠹⣽⣿⣯⣿⢟⡽⣿⡟⣫⣾⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣅⣻⣷⡶⠷⠟⠛⠻⠿⢿⣿⣟⣮⣿⣿⣿⣿⣿⣿⣿⢶⡝⣭⣻⢿⣆⠻⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣶⠟⢹⣯⣹⣽⣿⣿⣿⣿⣾⣿⡛⣴⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠯⢿⣙⣯⣿⣿⣿⣿⣟⣾⡬⢣⣾⣳⣌⠳⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣠⣶⣟⣿⣵⣶⣾⣿⣿⣿⣿⣷⣿⣿⣿⣛⣽⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢷⣿⣿⣻⣾⢷⣳⡭⣟⣷⣶⣉⢿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⡀⠀⣠⣿⣟⣿⣿⢿⣿⣟⣟⣻⣭⣿⣿⣿⣿⡻⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠻⢾⣿⣿⣻⣵⣫⢿⣿⣷⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢀⣾⣿⣿⣿⣯⢟⣩⢙⡠⢹⣿⣿⣿⣿⣿⣿⡿⠟⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢨⣿⣿⣷⣟⡶⣫⣿⣯⢻⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⣼⣿⠿⣟⣛⣧⣬⢿⠋⣹⣿⣿⣿⡿⣹⡿⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣾⣿⣿⣟⣾⣵⢯⡹⣂⢹⣷⠦⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⣿⠏⢰⣼⣾⣿⣿⣷⣾⣯⣿⣿⣿⠿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢛⣿⣿⣯⢏⢖⣂⣶⣿⣿⣿⣶⣌⢻⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⣿⣴⣿⣿⣿⠟⡉⣽⡿⣿⣿⠿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣽⣿⣟⣿⣿⣿⣿⣿⣿⣿⡻⣿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⣹⠟⡫⢖⣐⣾⣿⠿⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡏⡛⣿⢿⣾⣝⣾⣵⣾⣿⣾⣷⢹⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢀⡾⢡⣞⡿⡟⣥⠿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⣯⣟⠟⣿⣿⣿⣿⡞⢿⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⣇⣶⢞⣻⠞⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡟⣿⣿⣿⣿⣷⣶⣿⡇⢧⣾⣼⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠘⠟⠶⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣷⣯⣿⣿⣿⣿⣷⣿⣯⣿⣿⡟⡛⠛⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⢻⣿⣿⣿⣿⣿⣿⣿⣫⢷⣛⡆⣻⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣻⣷⣿⣿⣿⣟⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢈⣿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣇⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⢀⣾⡿⡷⣄⡀⠀⠀⠀⠀⠀⠀⠀ ⣾⣶⣄⣸⠋⠠⠀⠹⣿⡿⠟⠻⣿⡆⠀⠀ ⢿⣿⣿⡏⠃⢾⣷⠂⠀⠄⣄⠠⣹⡏⠀⠀ ⠈⠿⣿⣷⣄⣀⣩⣦⡖⠜⠛⠐⣼⣶⣶⣤ ⠀⠀⢿⣿⣿⠿⣿⣿⣷⣤⣤⣴⣿⣿⣿⠏ ⢠⣤⠘⣿⣿⣷⠺⣯⣽⣿⣿⡿⠛⠋⠁⠀ ⠈⠻⠂⠈⠻⣿⣿⣿⣿⡿⠋⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⣾⡗⠀⠀⠀⠀

⠀⠀⠀⠀⢀⣴⢿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢀⡾⠁⡞⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢠⢺⠃⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢠⠏⢸⡄⠈⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢸⡀⢸⡄⠀⠹⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢀⡜⡇⠈⣿⡀⠀⠙⢄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⠀⢳⠄⠹⣿⡄⠀⠈⢦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣸⠆⢸⣧⡄⢸⣿⣶⠀⢠⠙⢦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠷⡀⠹⣷⣄⣻⣿⡟⠺⣷⡀⠉⠓⢤⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⢧⠀⣶⣄⡘⢿⣦⣽⣿⣄⠈⢱⡦⠀⠀⠉⠓⢤⡀⠀⠀⠀⠀⠀ ⠘⣇⠈⠻⣷⡜⢻⣧⠉⠻⣄⠈⢻⣶⣴⠶⡄⠀⠙⡆⠀⠀⠀⠀ ⠀⢻⠉⣄⠈⢿⣿⣿⣷⠀⠀⣶⣤⣀⣷⣀⠀⠀⠀⣸⠀⠀⠀⠀ ⠀⠀⢧⡈⢿⣥⣍⣿⠉⠉⠃⢶⣦⣿⠀⠀⠀⠀⡚⠋⠀⠀⠀⠀ ⠀⠀⠈⠳⣤⣈⠛⠻⢷⣦⣤⡄⣶⣾⣿⠃⠀⠀⠛⢦⡄⠀⠀⠀ ⠀⠀⠀⠀⠀⠉⠒⠒⣾⠋⠁⠀⣈⣽⣿⣷⡆⠀⠀⠀⠘⡄⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠹⠦⢴⠋⠁⠀⠹⣿⣿⣿⠀⠀⠀⠙⣄⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⢤⠴⠋⠀⡀⠛⠿⠟⡇⠠⠤⠤⠷ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠤⠴⣇⣠⣏⣰⠁⠀⠀⠀⠀

⋆.˚𓅆࿐

⣿⣿⣿⣿⣿⣿⡿⠟⣋⣭⣭⣭⣭⣭⣉⣙⣛⣋⣭⣥⣶⠏⣠⣾⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⡿⢡⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣭⢀⣼⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⡟⢀⠛⠻⣿⣿⣿⣿⣿⡿⠛⠻⣿⣿⣿⠏⣡⣾⣿⣿⣿⡟⠛⣿⣿⣿⣿ ⣿⣿⡟⢠⣇⠀⢀⡿⣛⡻⣿⣯⠈⠀⠀⢈⣿⣿⡄⣿⣿⣿⡿⢋⣴⣧⢸⣿⣿⣿ ⣿⣿⡇⣷⣍⢓⡟⢰⣿⡿⢈⣿⣗⠒⣒⣩⠸⣿⠁⣿⣿⢋⣴⣿⣿⣿⠘⣿⣿⣿ ⣿⣿⡇⠈⣡⣾⣿⣌⣩⣴⣿⣿⣿⣦⣉⣉⣼⢃⡀⠟⣱⣿⣿⣿⣿⣿⠀⣿⣿⣿ ⣿⣿⡇⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢁⣼⣿⣿⣿⣿⣿⣿⢠⣿⣿⣿ ⣿⣿⢃⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⢻⣿⣿⣿⣿⣿⡟⣼⣿⣿⣻ ⡿⠏⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣶⣶⣶⣶⣍⡻⢿⡿⠟⢈⣿⣿⡟ ⡇⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣬⣘⣛⡁⡿⣰ ⡇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡗⣰⣿ ⡇⣿⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⢰⣿⣿ ⣷⡈⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣝⢿⣿⣿⣿⣿⣿⣿⡿⠛⢰⣿⣿⣿ ⣿⣷⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣮⣍⣉⣉⣩⣵⣾⠋⣸⣿⣿⣿ ⣿⣿⣧⡘⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠁⣾⣿⣿⣿⣿ ⣿⣿⣿⣷⣄⡙⠿⣿⣿⣿⣿⣿⣿⠟⠱⢿⢿⣿⣿⠿⠏⡉⣉⣥⣾⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⠏⣤⣶⢦⣤⡤⠈⣩⣭⡩⠁⣠⡤⣤⣅⠀⠰⣾⣿⣿⣿⣿⣿⣿⣿⣿

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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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⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠟⠛⠉⠉⠉⠉⠉⠙⠛⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠛⢁⣠⣴⢷⡒⠈⠀⢀⠀⠀⢂⡀⠀⠈⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⠟⠁⣰⣴⣿⣻⣷⣿⢗⣂⠠⢄⣤⡖⠐⡁⢐⣀⠀⢉⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⡿⣿⣿⣿⣿⠋⠀⠁⢟⢟⡾⣻⢟⣵⢟⡵⠊⠋⢋⠷⠻⠃⠀⠀⠙⠲⠺⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⢒⡋⢷⣿⡿⠁⠀⠀⠀⠀⡼⣽⣫⢟⣵⢟⣥⠦⡶⠛⡀⠀⠀⠀⠀⠀⠲⠰⡏⢹⣟⣿⣿⡟⣫⣻⣽⣿⡿⣟⣿⣿⣿⡿⡿⡿⣿⡿⡿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿ ⢙⠊⣹⡟⠀⠀⠀⠀⠀⢀⣻⣳⢯⡞⣱⣟⡥⠠⠾⠟⠁⠀⠀⠀⠀⡄⢾⡢⡱⠴⢿⣷⢿⣟⣿⣿⣿⣗⣿⣿⣿⣿⡯⣟⣗⣯⣯⣟⣟⣿⡿⣿⣿⡿⣑⣿⣿⣿⣿⣽⣾⣾⣟⣿⣿ ⠂⢠⡿⠀⠀⠀⠀⠀⢠⣾⣿⠂⠋⠚⠉⠈⠀⠀⠀⣀⣠⠀⡀⣄⢠⣙⣿⡗⢴⡳⢺⣯⣛⣿⣿⣟⣿⣿⣿⣽⣷⣷⣇⣿⣛⣳⣿⣿⣯⣿⣿⣿⣿⣿⣿⣫⡟⡻⡩⣎⣿⣿⣷⣿⣿ ⠀⡞⠁⠀⠀⠀⠀⠀⢸⣿⣿⡇⠀⠀⠀⠀⠀⣀⢾⣿⡛⢿⣾⣿⣿⣿⣿⣯⠎⣾⢾⣏⣿⣿⣿⣟⣟⣿⣟⣿⣿⣻⡯⣿⣯⣟⣟⣯⣯⡟⣿⣾⢫⣿⣿⡟⣷⣫⣿⣷⣷⣧⣏⣿⣿ ⠟⠀⠀⠀⠀⠀⠀⠀⠀⠛⠋⠁⠀⠀⠀⠀⡼⠋⠀⠛⠛⠀⠈⠁⢸⣿⣿⣯⣕⣪⣔⣯⣿⣽⣿⣿⣗⣿⣿⣿⣿⣏⣿⣇⣧⣯⣿⡿⣅⣻⣛⣿⣿⣽⣎⣗⣯⣷⣓⣿⣯⡷⡷⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⢠⣴⣿⣿⣿⣿⡢⣻⢺⢯⣿⣻⢯⣿⣿⣿⣿⣿⣿⣝⣿⣿⣿⣟⣽⣟⣿⣿⢷⣿⣽⡧⣾⣏⣿⣯⣯⣯⣷⡟⣶⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠲⣴⣶⣀⣀⡀⠿⢿⣿⣿⣿⣗⠐⢳⢧⢿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣿⣯⣿⣿⣵⣿⣽⣿⣻⡭⣿⡇⣿⣿⣿⣿⡋⣽⣯ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣶⣾⠀⠀⠀⠀⠀⢸⡏⠋⠁⠀⠀⢾⣿⣿⣿⠏⠀⠀⠠⢿⣿⣿⣇⣿⣿⣿⡒⣯⣵⣷⣪⣍⣿⣿⣮⣧⡟⡿⡿⣿⣯⣿⢿⣿⣿⣿⣿⡿⣶⣿⣯⢾⢿ ⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⠛⠛⠀⠀⠀⠀⠀⠸⣇⣀⠀⠀⠀⠜⣿⣿⣯⠀⠀⠀⠀⢸⣿⣾⣿⣷⢾⢷⣿⣷⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿⣿⣯⣾⣷⡇⣿⢿ ⠀⠀⠀⠀⠀⠀⠀⢈⡿⣟⡗⠀⠀⠀⠀⠀⠀⠀⠹⡀⠀⠀⠀⢰⢿⡾⠁⠀⠀⠀⢀⢼⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣿⣿⣿⣿⣿⣿⣿⣟⣿⣗⣿⡻ ⠀⠀⠀⠀⠀⠀⠀⠘⢿⡛⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⡀⠀⡠⣪⠆⠀⠀⠀⠀⣬⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣻⣿⣿⣿⣍⣔⣹⣿⣾⣿⣷⣇⡶⣸ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡀⠀⡀⣀⡀⠀⠀⠀⠀⠀⠠⣇⡶⡎⠁⠀⠀⠀⠀⢠⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⣿⣿⣿⣋⣿⣿⣭⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠿⣦⡟⠛⠃⠀⠀⠀⠀⠀⠀⠘⠏⠅⠀⠀⠀⠀⣰⣧⣶⣿⣿⣽⣿⣿⣿⣿⣿⡿⣻⣾⣋⣷⣻⣷⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠉ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠘⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⡿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣵ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡤⢀⣲⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⢉⡷⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠀⣪⠦⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⡟⣿⣿⣏⢶⣗⣯⣽⣿⡿⠿⢿⡽⠿⣛⣻⠙⢀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢰⡧⠟⣯⣱⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⣯⣾⣷⣵⣰⣿⣿⣿⣿⣟⡿⡻⣿⡿⣲⣳⣿⢷⣿⣿⣯⠋⡘

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⡿⢋⣩⣭⣶⣶⣮⣭⡙⠿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⠿⣋⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⡙⢿⣿⣿⣿ ⣿⣿⣿⣿⣿⡃⠄⠹⡿⣿⣿⣿⣿⠟⠛⣿⣿⣿⣿⣷⡌⢿⣿⣿ ⣿⣿⣿⣿⣿⠐⣠⡶⣶⣲⡎⢻⣿⣤⣴⣾⣿⣿⣿⣿⣿⠸⣿⣿ ⣿⠟⣋⡥⡶⣞⡯⣟⣾⣺⢽⡧⣥⣭⣉⢻⣿⣿⣿⣿⣿⣆⢻⣿ ⡃⣾⢯⢿⢽⣫⡯⣷⣳⢯⡯⠯⠷⠻⠞⣼⣿⣿⣿⣿⣿⣿⡌⣿ ⣦⣍⡙⠫⠛⠕⣋⡓⠭⣡⢶⠗⣡⣶⡝⣿⣿⣿⣿⣿⣿⣿⣧⢹ ⣿⣿⣿⣿⣿⣿⣘⣛⣋⣡⣵⣾⣿⣿⣿⢸⣿⣿⣿⣿⣿⣿⣿⢸ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⣿⣿⣿⣿⣿⣿⣿⢸ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⣿⣿⣿⣿⣿⣿⣿⢸

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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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⠀⠀⢀⠀⣰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⣨⣞⣷⣻⣴⣆⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢀⣿⣿⣿⣿⣿⣯⡁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢹⣻⣿⣟⣿⣿⣿⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠙⣿⣿⣿⣿⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⣸⣿⣿⣿⣿⣿⣯⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢰⣿⣿⣿⣿⣿⣿⢿⣟⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠠⢒⣒⣶⡲⠶⣦⣄⠀⠀⠀⠀⠀ ⢠⣿⣿⣿⣿⣿⣯⣿⣯⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⢴⡚⢋⣭⣭⣭⣿⣷⣮⣹⣷⣆⠀⠀⠀ ⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⢀⣦⣤⡔⢛⣻⣿⣿⣽⢻⣿⣿⠀⠙⢿⣿⣷⡀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣴⣄⡀⠰⣠⣾⣿⣿⣿⣿⣿⣿⡿⣿⣿⣷⣿⣿⠇⠀⠀⠹⣿⣧⠀ ⢿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⢿⣿⢿⣷⣶⡿⠿⣿⣿⣿⣿⣿⣿⣷⣝⣿⣿⣿⣿⡄⠀⠀⠀⢻⣿⡄ ⠸⣿⣿⣿⣿⣿⣿⣷⣿⣾⣶⣾⣷⣿⣿⣿⣧⣀⣾⣿⣿⣿⣿⣹⣿⣿⣿⣿⡿⠟⠁⠀⠀⠀⠈⡇⠇ ⠀⠘⣿⣿⣿⣿⣿⣿⣿⣿⣟⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠟⠁⠀⠀⠀⠀⠀⠀⠄⠀ ⠀⠀⠈⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⠟⠛⠿⠛⠻⠟⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠘⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢟⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠈⢻⣿⣿⠻⣿⣿⣿⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠘⣿⡟⠁⠈⢿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢠⠗⠀⠀⠀⠈⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢠⠧⠀⠀⠀⠀⠀⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠠⠤⠶⠲⡽⠐⠆⠐⠲⠒⠊⠧⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

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⠈⠉⣿⣿⢿⠉⠉⠁⠀⠀⠉⠉⠉⠉⣽⠉⢉⣿⠋⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠈ ⠀⠀⡏⣿⣿⢂⠀⠀⠀⠀⠀⠀⠀⢠⠃⢰⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢀⣿⣿⣽⠀⠀⠀⠀⠀⠀⠀⡞⣠⣿⣯⣿⣿⣲⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢀⣿⣿⣿⠀⠀⠀⠀⠀⠀⣸⣴⣿⣿⣿⣿⣿⣿⣟⡆⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢸⣿⣿⣿⠀⠀⠀⠀⠀⢠⣷⣿⠿⠛⣿⠻⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢸⣿⣽⣿⠀⠀⣀⣀⡴⣯⣟⠀⢀⣶⣿⣇⠲⡟⣩⡿⡇⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢸⣿⣿⣽⣶⠿⢷⣿⣿⣷⣷⣶⣴⣿⣿⣿⣷⣮⣷⣝⣇⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢸⣻⣿⣻⣧⣀⣤⢻⡟⢰⣾⣿⣿⣋⣿⣿⣻⣾⣿⣿⣿⣧⡀⠀⠀⠀⠀⠀ ⠀⠀⢸⢺⣿⣻⡿⣏⣵⡋⠠⣾⣭⢻⡽⣷⣼⢏⣿⣿⣿⣿⣯⢽⡧⠀⠀⠀⠀⠀ ⠀⠀⠸⣿⣿⡟⣿⣿⣿⡾⠪⠜⡕⠀⠈⠀⣼⣾⣿⣿⣿⡿⣷⣶⣿⠆⠀⠀⠀⠀ ⠀⠀⠀⣿⣿⣟⣿⣿⣯⠀⠁⠀⠁⠀⠀⠰⠃⠙⡿⣿⣷⣷⣗⣞⡟⠀⠀⠀⠀⠀ ⠀⠀⢀⣿⣿⣶⣿⣿⣯⢀⠀⡄⠁⠀⢀⠀⠘⣤⠱⣉⣿⣿⡿⢿⡟⠀⠀⠀⠀⠀ ⠀⠀⠟⢻⣿⣿⢿⣿⣿⠾⣗⠁⠀⠀⡼⠀⠘⡼⢼⣯⣽⡻⡟⣼⠃⠀⠀⠀⠀⠀ ⠀⠀⠀⢸⣿⣿⣸⣿⠋⠀⡽⠀⠀⡴⣧⣏⣞⢀⡄⣿⣿⣿⣱⠆⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢸⣿⣿⣸⣟⠀⠀⠀⡀⣠⠀⢻⣿⣿⣾⣿⣿⣯⡿⠃⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢸⢿⡾⡟⡿⣦⣀⢔⣀⣿⣥⣿⣿⣿⣿⣿⡿⠿⠁⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢘⢿⣗⠷⣿⣿⣿⣿⣿⠟⣻⣿⣿⡿⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⡎⢸⢿⢡⣿⣿⣿⣿⡟⠠⣛⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢰⠇⣿⣿⣔⣹⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

flamingo🌸🎀🦩💕🌷cute, aesthetic ⋆.˚✮🎧✮˚.⋆

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣤⣤⣄⣀⢀⣠⣶⣿⣿⣿⣿⣿⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣀⣼⣿⣿⣿⣿⣿⠿⠿⠛⠛⠛⠛⠛⠿⢿⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣰⣾⣿⣿⣿⣿⠟⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠻⣿⣧⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣿⣄⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢻⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣧⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠘⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⡆⠀⠀⠀⠀ ⠀⠀⠀⠀⣀⡤⢾⡇⠀⠀⠀⠀⢀⣠⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⠀⠀⠀⠀ ⠀⢀⣴⠋⠁⠀⣼⠀⠀⠀⠀⠀⣿⣿⣿⣿⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⡇⠀⠀⠀ ⢠⡞⠁⠀⠀⠀⣿⠀⠀⠀⠀⠀⠹⠿⠿⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⠀⠀⠀ ⣿⠀⠀⠀⠀⠀⣸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⡄⠀⠀ ⠘⠳⣤⡀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣧⠀⠀ ⠀⠀⠀⢉⣽⣷⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⡀⠀ ⠀⠀⠀⣼⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣇⠀ ⠀⠀⣸⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⠀ ⠀⠀⠙⢿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⡇ ⠀⠀⠀⠀⠀⢸⣿⡀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⡇ ⠀⠀⠀⠀⠀⠈⢻⣷⣄⣀⠀⣀⣴⣿⣷⣄⣀⠀⣀⣴⣿⣷⣤⣀⠀⣀⣴⣿⣷⣤⣀⡀⣀⣤⣿⡟⠀ ⠀⠀⠀⠀⠀⠀⠀⠉⢛⠿⠿⠟⠛⠁⠉⢛⠻⠿⠟⠛⠁⠉⢛⠻⠿⠟⠛⠁⠉⠛⠻⠿⠟⠛⡁⠀⠀

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⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣾⢿⡾⠲⠤⢤⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡾⠋⢨⠟⠈⣿⣆⠀⠀⠀⠉⠑⠲⠤⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⠞⠁⠀⠀⠈⠀⠀⠀⠈⠳⣄⠀⠀⠀⢦⡀⠀⠘⠙⠒⠤⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⠏⠀⠀⣰⠀⠀⠀⠀⠀⠀⠘⠀⠈⠳⡄⠀⠈⠳⡀⠀⠀⠀⢀⡊⠓⠶⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣠⢾⠟⠁⠀⠀⢰⠃⠀⠀⡇⠀⠀⠀⢀⠂⠀⠀⠙⠀⠀⠀⠙⢦⡀⠀⠈⠳⣄⠀⠲⢭⣷⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣠⠞⠁⠀⠀⠀⠀⠀⡿⠀⠀⠀⡇⠀⠀⠀⠈⡇⠀⠀⢳⠀⠀⠀⠲⠀⠙⣀⣠⠤⠿⠒⠋⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣠⠞⠁⡄⠀⠀⠀⠀⠀⡾⠁⠀⠀⢸⠃⠀⠀⠀⠀⢸⣄⣀⣈⣧⣤⠤⠤⢾⠋⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⣴⡿⠁⢠⠞⠁⠀⢠⠞⠀⣰⣃⣀⣴⠤⠾⠦⢲⣿⡆⠋⠉⠉⠀⠀⠀⠀⠀⠀⡘⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠴⢇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠼⣿⡵⠤⠿⠒⠒⠒⠛⢻⠉⠉⠀⠀⠀⠀⠀⠀⠪⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣇⣀⣀⣀⣀⡀⠀⢀⣠⠴⠒⠉⠀⠀⡘⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣶⣚⣉⢙⣶⣒⣲⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⠉⠀⠀⠈⣩⡟⠉⠙⠛⠒⠒⠒⠒⠲⠷⠤⠤⠒⠒⠒⠀⠀⠈⠉⠉⠉⠙⠒⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠉⠓⠒⢶⡒⠚⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⢀⣠⠴⠚⠁⠈⣠⠖⠛⠉⠁⠴⢶⣦⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⡤ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡤⠿⢧⣄⣀⠀⠀⠀⠀⣀⣤⡶⠚⠉⠉⠁⠀⣀⡼⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⢠⣤⡶⠋⠁⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣠⡾⠋⠀⠀⠀⠀⠉⠙⠲⢶⣿⢿⠿⠒⠒⠒⠒⠒⠊⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠞⠋⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣰⠏⠇⠤⠤⠄⢒⠰⠖⢲⡾⢛⣟⠀⠙⢧⡉⠀⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠞⠁⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢠⣿⠀⠀⢀⣤⠞⠁⢀⣤⣸⠁⢿⣿⣷⡀⠀⠈⠂⣓⢦⣀⠀⠀⠀⠀⠀⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡤⠞⠁⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢸⡞⠀⢀⡾⠁⠀⠀⢀⡿⡟⠀⠀⠙⣿⣿⣶⣄⠀⠈⠳⣉⠳⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡴⠊⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⡟⠀⠀⠘⠀⢰⠇⢀⣼⡜⠁⠀⠀⠀⠀⠉⠿⣿⣶⡀⠀⣀⣠⣼⣿⠿⢦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡴⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⡿⠀⠀⠀⠀⠌⠀⣸⣧⣀⣀⣀⣠⣠⣄⣤⣤⣼⣿⣿⣾⡿⠛⠉⠀⠀⠀⢍⠓⣶⣆⠀⠀⠀⠀⠀⠀⣠⠎⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢳⡄⠀⠀⠸⠀⡼⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠛⢿⢿⣷⣄⠀⠀⠀⠀⣀⠴⠋⠉⠓⠶⠤⡤⠴⠞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠈⣷⢀⣼⣿⠞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣿⣷⣄⡀⠚⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠈⠻⣏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣈⡿⣿⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠑⠦⣤⣀⣀⣀⠀⠀⠀⠀⠀⠀⢀⣀⣠⠴⠚⠉⠀⠀⠈⢻⣿⣷⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠉⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣽⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡉⣛⣿⣷⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⡀⠀⠀⠀⠄⠀⠀⠄⠀⠄⠀⠄⡠⠀⠔⠊ ⠀⠀⠄⠂⠐⠒⠀⠠⢀⠀⠀⠀⠀⠈⠀⠀⠀⠁⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢐⠀⠀⠀⠀⠀⠀⠀⠀⢵⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⡀⠀⠀⠀⠀⠀⠀⠀⠅⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠌⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⡀⠀⠀⠀⠀⠀⠀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠀⠀⠀⠀⠀⠀⢀⠀⡃⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠀⠀⠀⠀⠀⠀⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡈⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠄⢀⠂⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠀⠀⠀⠀⠀⠀⠂⡈⠀⠀⠀ ⢠⠀⠀⠀⠀⠀⠀⠀⡐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⠀⠀⠀⠀⠀⢈⡔⠀⠀⠀⠀ ⠀⡈⠠⠀⠀⢀⡠⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⡀⡠⠀⠔⠉⠐⠀⠀⠀⠀⠀ ⠀⠈⠁⠉⢁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠀⠀⠀⠀⠀⠀⠄⠐⠈⠀⠄⠀⠀⠀⠀⠀⠰⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠈⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠀⠀⠀⠀⠠⠁⠀⠀⠀⠀⠂⠀⠀⠀⠀⠀⢈⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠡⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⡂⠀⠀⠀⠨⠀⠀⠀⠀⠀⠅⠀⠀⠀⠀⠀⠐⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠈⠌⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡂⠀⠀⠀⠐⡀⠀⠀⠀⠀⠡⠀⠀⠀⠀⠀⠈⠂⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠑⡄⠀⠀⠀⠀⠀⠀⠀⠀⢡⠀⠀⠀⠀⠈⠐⠀⢀⢀⣸⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢆⡀⠀⠀⠀⠀⠀⠀⠨⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢳⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢦⡀⠀⠀⠀⠀⠘⡄⠀jay shree ram⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠆⠀⠀⠀ ⠀⠀⠀king_ayush tabahi⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⡀⠀⠀⠀⠀⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⢠⣴⣈⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⣦⣿⠿⣿⣦⡄⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣼⣿⣿⠹⣿⠉⠁⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣬⠿⣿⣿⣿⠀⠘⣿⣧⡄⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢺⣿⣿⣹⣿⢀⣿⠀⠀⣿⣤⡃⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⠉⠿⣿⠀⠀⠈⣿⡇⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢲⣞⠻⠇⠈⠉⠈⠉⠀⠀⠛⣿⡇⠀⠀⠀⠀⠀⠀⠀⢀⣨⣿⣬⠿⣷⠀⠉⠀⠀⠀⣿⣷⡗⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⡄⠀⠀⠀⠀⠀⠀⠀⠁⣿⣃⡀⠀⠀⠀⠀⠀⠀⠈⣿⢹⣿⣀⡋⠀⠀⠀⠀⠀⠉⢹⡇⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢶⣾⣟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⣿⡇⠀⠀⠀⠀⠀⠀⠀⣿⠈⠛⣿⠁⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀ ⠀⠀⠀⠀⠀⠀⠠⢸⣿⣧⣤⡄⠀⠀⠀⠀⠀⠀⠀⠹⣿⣷⡤⠀⠀⠀⠀⠀⠀⣿⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀ ⠀⠀⠀⠀⠀⠀⠐⣼⣿⣧⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡇⠀⠀⠀⠀⢸⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⡃⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⡟⠛⠛⠓⠀⠀⠀⠀⠀⠀⠀⠀⠿⢿⡧⠄⢤⣼⣿⣿⣷⣤⣤⠀⠀⠀⠀⠀⣤⣿⡟⠛⠁⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠻⢿⣿⣿⣷⣤⣤⣤⠀⠀⠀⠀⠀⠀⠀⠘⢹⣷⣿⣿⣿⣿⣯⣀⣈⣠⣄⣤⣿⣿⣿⠿⠇⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠼⢿⣿⣿⣿⣹⣿⣤⣤⣀⣀⡀⠀⠀⠀⠀⠉⢻⣿⣿⣿⣿⠿⠿⢿⡿⡿⢿⠿⣿⣄⣀⡀⠀⠀ ⠀⣤⣶⡶⠶⠶⠶⠶⠶⠶⢾⣿⣿⣿⣿⣭⣭⣭⣭⣭⡅⠀⠀⠀⠀⠀⠈⢹⣿⠿⠉⠀⢀⣬⣿⣿⣿⣿⣿⣿⣿⣿⣶⣂ ⠀⠉⠿⣷⣆⣀⣀⣀⣄⣶⣾⣿⣿⣿⣿⣿⣿⣿⡛⢉⣁⣀⣀⡀⣀⡀⠀⠈⠉⠀⠀⠀⣀⣿⣿⣿⣿⣉⣿⣿⣿⣿⣿⡇ ⣀⣶⡶⡿⠿⠿⠿⠿⠿⠿⠿⠿⢿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠿⠏⠙⠁⠀⠀⠀⠀⢀⣀⣿⣿⣿⣿⣿⣿⣿⣿⣟⡋⢻⡇ ⠛⣿⣷⣷⡄⢀⢀⣀⣀⡀⠀⠀⠀⠋⠉⠉⠉⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⢸⡇ ⠀⠀⠀⠘⠛⠛⠛⠛⢻⣷⣶⣶⣾⣾⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡟⠃ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠛⠛⣿⣤⣤⠀⠀⠀⠀⠀⠀⠀⠀⢠⣤⣤⣾⣿⣿⣿⣿⣿⡟⠛⠛⠛⠛⠛⠏⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠛⠛⠛⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠿⣿⣿⣿⣯⣽⡿⠇⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠉⠉⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

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⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⠛⠛⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠿⠿⠂⣸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡤⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣀⣤⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣠⣤⣤⣴⣿⣯⣤⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢨⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢠⣿⠿⢻⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣶⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣦⣆⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⣤⢖⣺⢿⢡⡖⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢺⣿⠀⢀⣿⡇⠀⠀⠀⠀⠀⠀⢀⣠⣶⣿⣿⡿⠟⠛⠉⠁⡀⢀⠀⡀⢀⠀⡀⠠⠉⠙⠻⠿⣿⣾⣷⣤⣀⠀⠀⠀⠀⠀⠉⠈⠹⣟⡆⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠈⢿⣷⣾⡟⠀⠀⠀⠀⠀⢀⣴⣿⣿⠿⠋⠁⠀⠄⡐⠈⠠⠐⢀⠐⠠⠀⢂⠀⡁⠄⠂⠄⠠⠀⠉⠻⣿⣿⣵⣄⠀⠀⠀⠀⠀⠈⠚⠁⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⣼⡿⢿⣧⡀⠀⠀⠀⣴⣿⣿⠟⠁⠠⢀⠂⢁⠠⠀⠌⠐⡀⠂⡀⠂⠁⠄⠂⡀⠐⢈⠀⠡⢀⠡⢀⠀⠙⢿⣿⣷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠸⠿⠿⠿⠿⠃⠀⢀⣾⣿⡟⢁⠠⠈⠐⡀⢈⠠⠐⠈⡀⠂⠄⢁⠠⠈⡐⠀⠂⠄⠁⠂⢈⠐⠀⠄⠂⢈⠠⠀⠙⣿⣿⣧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⡟⠀⠂⠠⢈⠐⡀⠄⡀⢂⠡⠀⠂⠌⠀⠄⢂⠀⠡⠈⡐⠈⡐⠠⢈⠐⡈⠰⠀⢂⠈⠄⠈⢿⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⡟⠀⠄⡁⠢⢀⠒⡀⢂⠐⣠⣦⣅⡈⣐⠜⠊⠉⠛⠲⣤⢀⣿⣷⣎⠀⠆⡐⠡⢈⠄⡈⠄⢂⠈⢿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢀⠀⣠⣿⣿⠃⢈⠠⢀⠅⠂⠆⡁⢂⠌⣿⣿⣿⣰⠃⡄⠀⠀⠀⠑⡀⢱⣿⣿⠿⠀⢆⡑⠤⢁⠂⠔⡈⠄⠂⠘⣿⣿⣶⣶⣤⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣤⣾⣿⣿⣿⣿⣿⠀⠂⠤⢁⠌⠂⡅⢢⣁⠒⡘⠛⠋⢤⡔⠁⠀⠀⠀⢀⠅⡸⢀⠁⠂⡍⢢⠘⡰⠈⠤⢁⡐⠈⠄⠁⡙⠛⠛⠻⣿⣿⣦⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣸⣿⡿⠉⠁⢀⠉⠁⠠⠁⢂⠌⢠⢁⠢⢁⠆⠱⣈⡴⠙⠂⠁⠐⠠⠤⠬⠄⠀⠉⠀⠣⢅⡐⢂⠑⡠⠑⡠⠂⠄⡁⠂⡐⢀⠐⡀⢂⠸⣿⣿⡆⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢿⣿⣇⠠⠁⠂⠠⠁⠂⢁⠂⠌⡀⠂⠔⢠⠜⠒⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⡀⠀⠈⠑⠦⡀⢡⠀⡁⢂⠐⠀⠄⠂⠠⠐⢀⣸⣿⣿⠃⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠸⣿⣿⣦⠀⡁⠂⠁⠌⠀⠄⠂⠌⢡⡸⠃⠀⠀⠀⠀⣾⣿⣧⣦⣤⣀⢀⣤⣾⡿⢿⣿⠀⠀⠀⠀⠘⠠⢒⠠⠀⠄⡈⠄⡈⠐⣀⣦⣿⣿⠏⠀⡴⡶⠳⣒⡀ ⠀⡀⠀⡀⠀⠙⢻⣿⣷⡀⠌⠐⠈⡀⢂⠁⡰⠊⠀⠀⠀⠀⠀⠀⣿⣿⠈⣙⣿⣿⣿⣿⣧⣄⢺⣿⡇⠀⠀⠀⠀⠀⠈⠰⡁⠐⠠⠐⣴⣿⣿⣿⠟⠁⠀⠀⠻⣱⣤⠟⠀ ⡾⡜⢳⣬⡄⠀⢀⣿⣿⠁⠄⡈⠐⠀⠄⡲⠁⠀⠀⠀⠀⠀⠀⠀⢻⣿⣾⡿⠟⠁⠀⠉⠛⠿⠿⡿⠇⠀⠀⠀⠀⠀⠀⠀⠈⢄⠡⠀⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠘⠳⠽⠊⠀⠀⢸⣿⣿⠀⡐⠀⠡⠈⡜⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢢⠐⢸⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢸⣿⣿⠀⠄⡈⠄⡙⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠡⢈⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢸⣿⣿⠀⡐⠀⢢⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢥⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠈⣿⣿⡄⠠⠁⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢹⣿⣷⡠⢸⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣿⣿⠟⢀⣴⣿⢿⣷⡄⠀⠀⠀⠀⠀ ⠀⠀⠀⣶⣆⢀⡀⠀⠈⠙⢿⣿⣶⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⢀⠀⠀⠀⠀⠀⠀⣀⣴⣿⣿⠟⠀⢸⣿⠋⠈⣿⡧⠀⠀⠀⠀⠀ ⠀⢠⣤⣾⡿⡜⠛⠀⠀⠀⠀⠙⠿⣿⣾⣵⣦⣀⡀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢂⠀⠀⡀⢀⣀⣤⣴⣿⣿⡿⠟⠁⠀⠀⢿⣿⣠⣼⡿⠃⠀⠀⠀⠀⠀ ⠀⠈⠉⠀⢻⣧⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠿⢿⣷⣿⣼⣧⣖⣶⣢⢤⡤⣤⢤⡄⣀⣀⣤⣤⣤⣬⣾⣶⣿⣿⣿⡿⠟⠋⠁⠀⠀⠀⣴⣾⣿⣿⡟⠋⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠛⠛⠛⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠛⠛⠋⠉⠁⠀⠀⠀⠀⠀⠀⠀⠉⠻⢿⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀

⢱⢄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡠⡎ ⠘⣏⡎⠹⡲⢤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡤⢖⠫⢑⡺⠃ ⢈⣾⣦⡢⡀⠑⡹⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⢏⠈⠀⢀⣵⢇⠁ ⢸⡃⠘⠻⣮⡢⡄⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⢸⢀⣴⣿⠕⢡⡆ ⢸⣷⠀⠈⠚⣿⣄⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣨⡿⡛⠀⠀⣸⡇ ⠘⣷⣆⠀⠀⢰⢿⡿⡣⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡞⢻⣿⡉⠀⠀⣠⡽⠁ ⠸⡮⣿⣗⣄⡸⣾⢣⠐⢕⢄⠀⠀⠀⠀⠀⠀⠀⠀⣴⡫⠊⡇⣿⢀⣠⣾⣾⠵⠃ ⠀⡿⠘⠝⢻⢦⡟⣧⢄⠀⢉⠆⠀⠀⠀⠀⠀⠀⣼⠑⠁⡀⣱⢻⡼⡞⠫⠃⡇⠀ ⠀⢱⡢⡀⠀⣿⠁⠈⠳⣧⣜⢸⢀⣠⠴⢖⡶⡄⣇⣳⣽⠞⠁⠈⡗⡄⢀⢀⡍⠀ ⠀⢰⠽⣗⣪⣽⡆⠀⠀⠀⠙⣿⡸⡏⠀⢨⡏⢀⣿⠋⠀⠀⠀⢰⣧⣕⣺⠯⡆⠀ ⠀⠀⢧⢄⣈⢩⢫⡒⠀⠀⠀⠈⠉⠁⠀⠀⠉⠉⠉⠀⠀⠀⢒⡽⠁⣁⡠⠕⠀⠀ ⠀⠀⠀⠣⢤⢞⠯⢻⢭⣁⣴⣀⣀⠀⠀⠀⠀⣀⣀⣦⣈⡩⣟⠽⢳⠤⠘⠀⠀⠀ ⠀⠀⠀⠀⠀⠁⠛⠻⠿⠽⠟⠋⣹⢣⠀⠀⡜⣏⠙⠻⠽⠽⠟⠛⠉⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠐⠒⠶⣯⣿⣿⣟⣷⣾⣛⣿⣽⣯⠶⠒⠂⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠚⠮⢢⡗⠝⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

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⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣦⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⣿⡄ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣋⣾⣿⡿⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⣷⣿⣿⡟⠁⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣴⣿⣿⣿⣯⡟⠁⠀⠀ ⣤⣤⣤⣄⣀⣠⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣴⣾⣿⣟⣚⣿⠟⠁⠀⠀⠀⠀ ⠛⠷⣦⣍⣙⠷⠖⠭⠿⣶⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣴⢾⣿⠿⡯⣤⠾⠋⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠉⠻⣿⣦⣀⠀⢛⣿⣏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣴⣾⣿⠿⣯⣶⡿⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠈⢻⣿⡆⢸⠹⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣤⣶⣿⣿⣿⣿⣭⠿⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣼⣿⠇⠈⣇⣷⣤⣤⣄⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣴⣾⣿⡿⠟⣋⡿⠾⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠶⢶⣾⣷⣶⣾⡿⣿⣎⣾⣟⣿⣽⣿⡿⣿⣾⣿⣿⢷⣶⣶⣤⣀⣀⠀⠀⠀⠀⣀⣀⣤⣤⣶⣾⣿⣿⣿⣿⣿⠵⠞⠋⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠉⠙⠙⠿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⠖⠛⠻⣿⣶⡿⣿⣯⣿⣻⣿⣿⣿⣿⣿⣿⣿⡾⠿⠚⠋⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢀⣤⣼⣽⣷⣾⣽⣯⣶⣠⣿⣿⣿⡿⠋⠀⠀⠀⡀⠀⠉⢿⣿⣷⣿⣿⣿⣿⡿⠿⠛⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢠⣿⣟⣿⡟⣻⣻⢟⣿⣿⡿⣿⣿⣿⣷⠀⢠⣤⣼⣿⣷⣾⣿⣿⣿⣿⠟⠋⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⣿⣇⣿⣷⢯⣯⣿⣿⣿⣿⣷⣿⣿⣿⡇⢸⣿⣿⣿⢿⣿⣿⣿⡟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠟⢻⠿⡟⠿⢿⠻⠛⠛⠛⠿⠿⠿⣿⣾⡇⠈⠫⣳⣶⢶⣿⣳⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠲⣄⠀⠸⣿⣱⡀⠀⠈⠙⠺⢿⣿⣷⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⠀⠀⣾⣯⣤⣴⣿⡿⠁⠀⠀⠀⠀⠀⠈⠙⢷⣿⡖⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠛⣿⣿⠟⠋⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠦⢬⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⣿⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠤⡴⠿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

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⠀⠀⠀⠀⠀⢀⡠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣿⣾⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢀⣤⣤⠤⣞⠻⣻⣛⣷⡅⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠈⠁⠀⠀⠉⠃⠊⡬⣻⢫⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠁⠋⡼⣿⣾⠗⣺⣷⡶⣶⡦⣤⣄⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢸⡑⡃⣻⣿⣝⣻⣞⣟⣾⣮⣗⣿⣿⣫⣾⣶⣶⣖⣖⣤⣄⣄⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⣽⣟⣿⢻⣏⣿⢿⣿⣿⣿⠿⣿⣿⣽⠛⠛⠻⠻⠿⠿⣿⣿⣿⣿⣿⣿⣷⣶⣤⣤⣀⡀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠣⠮⠈⣖⢘⠁⣈⠾⣤⣤⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠛⠛⠷⠾⣭⣭⠓⠒ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⠞⠀⠀⠀⠀⠁⠁⠀⠀⠀⢱⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⢠⣔⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⠸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠠⢄⣀⢀⡄⠄⠐⠊⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠽⠧⣤⣤⣤⣶⣶⣖⣶⣖⣀⣀⣀⣀⣀⣀⣀⣀⡀ ⠀⠀⠀⠀⠀⠀⠈⠀⠀⠓⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠚⠛⠻⠛⠛⠙⠙⠙⠉⠛⠛⠛⠓⠀⠀⠀⠀⠀⠀

⢠⣄⣦⣀⣠⡀⠀⠀⠀⠀⠀⠀⢀⣴⣤⣶⣣⡞ ⢘⣿⢿⣿⣿⣿⣧⠀⢺⣿⠀⢹⣿⣿⣾⡿⣿⡣ ⠘⠽⠿⣿⣿⣿⣿⣿⢿⡿⣿⣾⣷⣿⡿⠿⠯⠃ ⠀⠀⠀⠉⠋⠟⠿⣿⣤⣴⡽⠾⠿⠋⠈⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣼⣧⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡠⠠⣤⣒⡂⣒⣒⣂⡄⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡔⠊⠁⠀⡔⠋⢀⡀⠀⣀⡠⠤⡄⠀⠀⠉⠛⣆⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢠⠋⠀⠀⠀⡎⠀⢸⣱⠣⠊⠀⠀⠀⡜⢠⠚⠉⡇⠉⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⡏⠀⠀⠀⠀⡇⠀⠀⣿⢾⠀⢀⠤⠃⢁⠇⠀⠠⠊⠀⢹⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡤⠒⠒⠒⣆⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠘⢤⣼⣼⠇⡏⠀⠀⢀⣧⠦⡉⠀⠀⠀⠀⠉⠓⠒⠒⠒⠒⠒⠉⠁⠀⠀⠀⠀⠀⠀⠈⢂⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣇⠀⠀⠀⣀⣀⠀⠘⡌⠐⢂⢈⡽⠋⠁⣨⠎⢧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠈⣆⠋⡍⡗⢉⡀⠀⠡⡴⠞⠉⠐⡴⠋⠁⠀⢠⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⠀⢸⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠓⠅⢯⡉⠀⠖⢳⠷⠀⠀⡎⠀⠀⠁⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠃⠀⠀⡇ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢘⡆⡋⡎⠀⠀⠀⡊⠀⠀⠀⠀⠑⠦⠄⠀⠀⠀⠀⠀⠉⢹⠀⠀⠀⠀⠀⢠⣀⠀⢠⠤⡟⠀⠀⢀⠇ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⠘⡞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⡘⢢⣀⣄⠜⠀⠀⣉⡟⠁⠀⠀⡏⠁ ⠀⠀⠀⠀⢀⡤⠒⠒⠂⠀⠐⠲⢄⣀⡇⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠑⠒⠘⠋⠛⠋⠀⣀⠤⣤⠟⠂⠒ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⡇⠀⠀⠀⠉⠉⠚⠦⡀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡠⠍⠃⠁⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠑⠒⠒⠒⠒⠒⠂⠒⠊⠁⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⡀⠀⠀⡀⠀⠀⠄⠀⠄⠠⠀⠤⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠂⠂⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠇⠀⠀⠀⠀⠀⠀⠀⠀⡌⠀⠀⠀⠀⢀⠄⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠂⠄⠄⠄⠤⠠⡦⠄⠂⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⢀⣀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⢄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠄⠂⠁⠁⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠐⠀⠂⠀⠄⠔⠐⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⣀⣴⣤⣤⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⡤⢤⡤⣀⠀⠀⠀⠀ ⠀⢠⣿⡫⠅⠀⠀⠀⠚⣹⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⡟⠅⢀⠈⠁⠑⢿⢗⡄⠀⠀ ⢠⣿⠫⠀⠀⠀⠀⠀⠀⠀⠭⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⠏⠀⠀⠀⠀⠀⠀⠀⠕⠛⡆⢀ ⢸⢸⠪⠁⠀⠀⠀⠀⠀⠀⠀⠘⢷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⡑⠘⡇⠀ ⠘⡞⠸⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠚⠿⣧⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣾⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠄⠰⣣⣸⠇⠀ ⠀⢹⡄⠆⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠋⢷⢦⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⣄⣶⠿⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⠀⣐⢦⠟⠀⠀ ⠀⠀⠙⣦⣃⡒⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠹⠲⣆⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣰⠶⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠊⢀⣖⣻⠞⠀⠀⠀ ⠀⠀⠀⠈⠛⢿⣤⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠻⢟⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣶⠛⠉⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣶⡿⠋⠁⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⣠⣼⠿⠿⠷⠾⠶⠀⠀⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠹⣖⡄⠀⠀⠀⠀⠀⠀⠀⠀⢠⣾⠏⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠴⠶⠾⠿⢿⣭⣄⡀⠀⠀⠀⠀⠀ ⠀⠀⠀⣰⣿⠟⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠀⠠⡀⠀⠀⠀⠀⠀⢌⢳⣄⠀⠀⠀⠀⠀⠀⣰⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠻⡏⡆⠀⠀⠀⠀ ⠀⠀⠀⣯⠁⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠂⢀⢀⠀⠀⠂⢯⡆⠀⠀⠀⠀⢰⡿⠀⠀⡀⠀⠐⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⡖⣟⠀⠀⠀⠀ ⠀⠀⠀⠹⣦⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡴⠚⠋⠉⠩⢶⡄⠈⡾⡍⠀⠀⠀⠀⣏⣷⠁⠀⡴⠟⠉⠩⠓⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⡾⣵⠋⠀⠀⠀⠀ ⠀⠀⠀⠀⠘⠓⢯⣷⡶⢧⣤⣴⣾⠇⠀⠀⠀⠀⠀⠀⣼⠀⢰⣢⡄⠀⣾⠇⠀⢻⣐⠀⠀⠀⠀⡏⡏⠀⠀⣧⣄⢀⡔⡆⠀⣧⠀⠀⠀⠀⠀⠀⠺⣷⣤⣤⡼⣖⣶⡽⠛⠁⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⢩⠿⠉⠀⠀⠀⠀⠀⠀⢀⡿⣀⠀⠙⠛⠛⠁⠀⣠⢯⡞⠀⠀⠀⠀⠹⠶⣀⠀⠈⠙⠛⠋⠁⣠⡇⠀⠀⠀⠀⠀⠂⠀⠈⠿⣉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣹⢀⠀⢀⡀⠀⢀⢀⠀⣔⠍⢽⣶⣤⠠⢤⡐⣊⠵⠋⠀⠀⠀⠀⠀⠀⠙⠬⣐⡢⢤⠤⣴⣾⠏⠰⣀⠀⡀⡀⠀⢀⣀⠀⡢⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣄⠣⠟⠤⢧⠣⠛⠛⢠⣸⠜⠃⠀⠛⠛⠛⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠛⠛⠛⠃⠀⠻⣄⡀⠛⠻⣘⠼⠤⠿⠼⣠⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠓⠶⠶⠶⠶⠶⠛⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠑⠛⠶⠴⠶⠶⠶⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⣿⢟⡝⠛⡿⠋⡛⡹⢙⠏⣿⠛⢛⣫⣍⠛⠋⣿⠙⡋⢯⠛⠙⣿⠛⣫⡽⣿ ⣧⠈⠀⠒⢩⢥⡍⢠⣄⡀⣷⣥⡇⠀⠀⢸⣤⣿⢀⣠⡄⣭⡬⠭⠒⠀⡁⣼ ⣿⡤⠐⠲⡄⢠⣫⣿⡿⡿⠛⠉⠀⠀⠀⠈⠿⣿⣿⣿⣿⣙⡄⠰⠆⠻⣠⣿ ⡇⢣⢰⣶⣿⣿⣿⣥⣤⡄⠀⠀⠀⠀⠀⣤⠀⠘⣿⣿⣿⣿⣿⣯⣷⠀⣾⢸ ⣇⡵⠠⣿⢟⢿⣿⣿⣿⡇⠀⠀⠀⠀⠈⠉⢷⡘⡌⠿⣿⣿⣿⣿⡿⠔⢬⣸ ⣧⠜⣏⣣⣿⡗⣿⣿⣿⣿⠄⠀⠀⠀⠀⡀⡖⡬⢉⠧⠘⣿⣿⣿⣏⣹⠣⣼ ⡯⣀⣿⣿⣿⣏⡿⠋⠉⠙⢤⣤⡇⠀⠀⢘⠃⠁⠈⢸⣆⣸⣿⣿⣿⣿⣌⢽ ⡧⡶⣿⣿⣿⣧⠁⠀⠀⠀⠀⠈⠁⠀⠀⠀⠀⠀⠀⢘⡻⣟⢿⣿⣿⣿⠖⢼ ⣧⣡⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣇⢹⣾⣿⣿⣿⣌⣼ ⡷⢫⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢾⡄⢻⣿⣿⣿⠗⢾ ⣧⡹⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠨⡇⢀⣽⣿⣿⢯⣼ ⣍⠧⣿⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠈⣯⣿⣿⠬⣩ ⠯⢚⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⢲⣺⣿⣿⡃⠽ ⣊⢿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢌⢿⣿⣿⡿⣕ ⡏⢖⣋⣻⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣩⣿⣟⣹⡿⢹ ⣇⡍⣻⣿⣿⣿⡗⡀⠀⠀⠺⡄⢸⠀⠀⠀⠀⠠⠀⠀⢠⣰⣿⣿⣿⣏⢹⣸ ⣇⡸⢋⣿⣿⣿⡇⡇⠀⠀⢆⣷⡲⠀⠀⠀⠀⠀⠀⠀⢨⣸⣿⣿⣏⣹⣇⣸ ⡟⢦⠐⢻⢿⣿⣿⠀⠀⣼⣸⣿⡇⡀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⡟⢺⣷⢻ ⣿⡀⢘⣟⡿⣿⣿⢀⢠⣿⣿⣿⣿⣧⠄⠀⠀⠀⠀⠀⣼⣿⣿⡛⣻⡘⣇⣿ ⡧⠇⣯⢠⡞⣉⠁⢿⠾⢿⣿⣿⡟⣿⡇⠀⡀⠀⠀⠀⣿⠍⣉⠷⡦⣻⠰⢿ ⣿⣠⡀⢀⢓⡈⡁⡈⡂⢇⡛⢿⢳⣿⡇⠀⡀⠀⠀⠨⠩⢌⢁⠒⠂⢉⣄⣿ ⣿⣿⣿⣿⣶⣾⣶⣷⣷⣮⣿⣷⣬⣴⣦⠀⣧⠀⠀⣾⣾⣶⣾⣷⣿⣿⣿⣿

⡀⠄⢀⡀⠡⠀⠀ ⠀⠌⠁⡊⢈⠈⡂Halfway there

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿⠟⠁⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⠋⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⣿⣿⡿⠁⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣾⣿⣿⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⠃⠀⠀⣠⣶⣾⣿⣾⣶⣄⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⠀⠀⠀⠀⢠⣿⣿⣿⡿⠁⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⡇⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣠⣴⣶⣿⣿⣿⣫⠀⠀⠀⢀⣾⣿⣿⣿⣠⣤⣤⣼⣿⣿⣿⣿⣿⣿⣿⣿⣷⡀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣾⣿⣿⣿⣿⣿⣿⣿⣿⢟⠀⠀⢀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡁ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣠⣤⣤⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠆⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣾⣿⠿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠸⠿⠿⠛⠛⠛⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠋⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡏⠀⠀⠁⠀⠀⣹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⡹⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣂⣴⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⢀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⡌⠵⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⢀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠀⠀⠀⠀⠀⢀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⠄⠀⠀⢀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⢠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡁⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠄⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⠀⠀ ⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀⠀

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⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣤⣾⣿⠹⣽⣿⣯⣿⢟⡽⣿⡟⣫⣾⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣅⣻⣷⡶⠷⠟⠛⠻⠿⢿⣿⣟⣮⣿⣿⣿⣿⣿⣿⣿⢶⡝⣭⣻⢿⣆⠻⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣶⠟⢹⣯⣹⣽⣿⣿⣿⣿⣾⣿⡛⣴⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠯⢿⣙⣯⣿⣿⣿⣿⣟⣾⡬⢣⣾⣳⣌⠳⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣠⣶⣟⣿⣵⣶⣾⣿⣿⣿⣿⣷⣿⣿⣿⣛⣽⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢷⣿⣿⣻⣾⢷⣳⡭⣟⣷⣶⣉⢿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⡀⠀⣠⣿⣟⣿⣿⢿⣿⣟⣟⣻⣭⣿⣿⣿⣿⡻⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠻⢾⣿⣿⣻⣵⣫⢿⣿⣷⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢀⣾⣿⣿⣿⣯⢟⣩⢙⡠⢹⣿⣿⣿⣿⣿⣿⡿⠟⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢨⣿⣿⣷⣟⡶⣫⣿⣯⢻⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⣼⣿⠿⣟⣛⣧⣬⢿⠋⣹⣿⣿⣿⡿⣹⡿⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣾⣿⣿⣟⣾⣵⢯⡹⣂⢹⣷⠦⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⣿⠏⢰⣼⣾⣿⣿⣷⣾⣯⣿⣿⣿⠿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢛⣿⣿⣯⢏⢖⣂⣶⣿⣿⣿⣶⣌⢻⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⣿⣴⣿⣿⣿⠟⡉⣽⡿⣿⣿⠿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣽⣿⣟⣿⣿⣿⣿⣿⣿⣿⡻⣿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⣹⠟⡫⢖⣐⣾⣿⠿⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡏⡛⣿⢿⣾⣝⣾⣵⣾⣿⣾⣷⢹⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢀⡾⢡⣞⡿⡟⣥⠿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⣯⣟⠟⣿⣿⣿⣿⡞⢿⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⣇⣶⢞⣻⠞⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡟⣿⣿⣿⣿⣷⣶⣿⡇⢧⣾⣼⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠘⠟⠶⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣷⣯⣿⣿⣿⣿⣷⣿⣯⣿⣿⡟⡛⠛⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⢻⣿⣿⣿⣿⣿⣿⣿⣫⢷⣛⡆⣻⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣻⣷⣿⣿⣿⣟⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢈⣿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣇⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⣠⠤⠤⠤⠤⠤⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡴⠊⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠒⠦⣄⡀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢠⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⡆⠀ ⠀⠀⠀⠀⠀⠀⠀⢸⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀ ⠀⠀⠀⠀⠀⠀⢰⠃⠀⠄⠀⠀⠀⠀⠀⡠⠆⠻⡄⠀⠀⠀⠀⠀⠀⠀⠀⢰⠃⠀⠙⡆⠀⠀⠀⠀⢣ ⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠃⠀⠀⠃⣖⡲⣤⣞⣉⡇⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⢸ ⠀⠀⠀⠀⠀⠀⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠓⢦⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠇ ⠀⠀⠀⠀⠀⠀⠈⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢯⣉⣹⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⡴⠁⠀ ⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠔⠃⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢁⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⡖⠀⠀⠀⠀⠀⠀⠀⠀⢰⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠠⠃⠀⠀⠀⠀⠀⠀⠀⡐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡎⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⡇⠀⠀⠀⠀⣀⡤⠖⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡜⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠅⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠔⠋⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⡃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⡠⠔⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢀⠔⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠄⠤⠒⠒⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠤⣗⡢⢇⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡠⣈⡝⠆⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢀⢋⢥⠛⠽⠵⠦⠇⠇⠚⠥⠦⠆⠍⠓⠐⠃⠀⡃⠀⠀⠀ ⠀⠀⠀⠀⢀⣴⠎⠕⠈⠁⠻⡉⢀⠶⠐⠒⠲⣄⠀⠀⠀⡀⠀⠀⠀⢠⠇⠀⠀⠀ ⠀⠀⠀⡭⠛⠊⠓⢻⢾⡏⠀⠀⠀⠀⣼⡀⠀⢱⢁⠀⠉⠰⢵⣴⣝⠋⠀⠀⣰⣇ ⠀⠀⠀⠀⠀⠀⠔⡌⠀⠀⠀⠀⠀⠀⠉⠁⢀⢠⡛⠀⠀⠀⠀⠀⠈⠈⢻⡁⣾⠁ Doodle of a Kiwi Bird :) ⠀⠀⠀⠀⠀⠀⡦⢅⡴⡞⠀⠀⠀⠀⠀⣀⡤⠋⠀⠄⠀⠀⢠⠀⠀⠀⡠⠚⠀⠀ ⠀⠀⠀⠀⠀⡞⣯⡿⠊⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠱⠖⠤⣶⡎⡁⡀⣠⡆ ⠀⠀⠀⠀⠀⠰⠇⠂⠀⠀⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠒⠑⠉⡘⠅⠀ ⠀⠀⠀⠀⢀⠳⡈⠀⢠⡨⠟⡆⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣀⡤⡔⠃⠁⠀⠀ ⠀⠀⠀⠀⠈⣬⠁⢐⡋⠁⢁⡩⣨⡂⠀⠀⠀⠀⠀⠀⠀⠀⢤⣽⠈⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠈⡭⣀⠫⠀⠀⠠⢰⢌⠁⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⡀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⡯⠓⣔⠀⠀⠀⡟⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⡇⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠈⠀⠈⢀⣤⠎⢕⣩⡅⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢥⡄⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠐⠓⠈⠀⢀⡃⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢙⣆⡀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡾⠯⠅⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠱⡹⡀⠀⠀