Aqua Ahegao Emojis & Text

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⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⠟⢉⣕⡞⣼⣿⣿⣿⣿⣿⡟⠛⠛⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣳⡀⢻⣤⣴⣴⣶⣶⣶⣿⣿⣷⣤⣼⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⣼⢧⣿⣦⠬⡜⣼⡝⣿⢹⣿⣿⡟⣁⡀⣴⣿⡟⣹⠈⠙⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣗⠾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⢰⣿⢀⣿⢀⠨⢳⣷⢴⣧⣸⣟⡟⠉⢁⡾⠋⣀⡴⢃⡠⣠⣿⣻⠿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡝⠋⣿⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⣾⣧⢸⣻⠀⢩⡏⠀⣸⣯⣿⡿⠒⣲⠟⠘⣩⠿⣠⠏⣴⣿⢯⣟⣹⣄⡿⣿⣿⣿⠏⣿⣿⣿⣧⠀⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⣿⣿⣿⡇⠘⢸⡇⣰⣿⠏⣿⣀⡼⠧⢶⣶⣳⡞⢳⠞⣿⣣⠏⠀⢠⣞⣀⣸⣿⣿⠀⢻⣿⣿⣿⣯⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⡦⣿⣷⣿⢹⠀⣯⣞⣧⣔⣯⣿⣯⡾⢃⣾⠟⠁⢀⣴⡟⢀⣼⡟⣾⡿⣐⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⣸⣿⣧⢹⣾⣴⣿⠋⡇⢸⣸⣿⣿⣿⣿⣿⣿⣯⣶⠟⠋⢀⣴⣫⢏⣴⠟⣽⣿⡟⠀⠈⢹⣿⣟⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⢳⠇⣿⣿⣿⣿⢹⡀⠃⢸⡜⣿⢹⣿⣷⣿⣿⡿⣷⠶⠚⠛⢛⡿⠋⣠⣾⣿⣿⣤⣦⣀⢸⡟⣠⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⢠⡞⣸⢻⣿⣿⣿⣾⣗⠄⠘⡇⣿⠚⠻⠿⠯⠿⠅⠀⠠⢄⠍⢨⡙⠊⠑⣿⣿⣯⣿⡿⠻⣿⢡⠇⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⣾⢣⡟⢸⠀⣿⣿⣷⣿⣦⠀⣷⣹⣣⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠃⠀⠀⠛⠿⠿⡿⣁⣼⣿⡟⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⢠⣇⣼⣿⣾⠀⣿⣿⣮⡛⢿⣧⣽⡿⣿⣷⡤⠀⠀⠀⠀⠀⠀⠀⡄⠀⠀⠀⠀⠀⠶⠆⣰⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⡼⣼⣿⡏⡟⣼⣿⣿⣿⡻⣿⠃⣸⡟⠊⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣺⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⢰⢳⢻⡿⣠⡷⣿⣿⣿⣿⡏⢻⣴⠏⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠁⣼⣿⡛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⡞⡞⣼⣷⢻⡇⣸⣿⣿⣿⡿⡟⠅⣴⣿⡟⢤⣀⠀⠀⠀⠀⠈⢿⡟⠀⠀⠀⠀⠀⠀⢀⣾⣿⣿⣷⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⢠⢻⢁⡿⠇⣸⠇⣿⣿⣿⣿⣇⣿⠞⣡⣿⣧⣤⣽⣷⣀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣶⣿⣿⣿⣿⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⡞⣸⠃⢀⣿⢀⣿⣿⣿⣿⣿⢥⣾⣿⣿⣿⣿⣿⣿⣿⣷⣦⣄⣀⣤⣴⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠟⠋⠁⠀⠙⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠒⠺⠷⣏⡀⣼⡿⢸⣿⣿⣿⣏⣥⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣯⠀⠀⠀⠀⣀⠀⣿⣿⣿⣿⣿⣿⣿⠿⠿⠛⠻⣿⣿ ⠀⠀⠀⠀⠈⠙⠳⢿⣿⣿⡟⢉⣰⣿⣿⣿⣿⡟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠻⢿⣿⣿⣷⣤⠖⠛⠉⠉⠀⠀⢸⡏⠁⠀⠀⠀⠀⠀⠀⣿⣿ ⠀⠀⠀⠀⠤⢄⣀⠀⣨⡿⠟⢋⣿⡿⢯⣶⣝⣛⣛⣿⠿⢿⣿⢥⣠⠼⠻⣿⣟⣿⣿⣿⢿⣿⣿⡋⢤⡀⠀⠻⣌⣉⣻⣦⣀⠀⠀⠀⠀⣼⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿ ⠀⠀⠀⠀⠀⠀⢀⣼⡟⠛⣛⣿⡿⠀⠉⢛⣻⣿⠿⠋⠀⢸⢹⠀⠀⠀⠀⠘⣾⣦⠉⠛⠷⢿⣿⣻⣦⡌⠢⡀⠘⣧⣙⡛⣿⣗⡚⠉⠉⠉⡇⠀⠀⢀⣀⣀⣠⣴⣿⣿ ⠀⠀⠀⢀⡤⡶⣿⠋⣽⠛⣿⡿⢁⣤⢶⡋⠉⠁⠀⠀⠀⢸⠾⠆⠀⠀⠀⠀⠈⠁⠀⠀⠀⠀⠈⠙⠛⣿⣦⡙⣏⠁⠈⣯⣙⠛⢿⣆⠀⣼⣷⣶⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⢠⡟⢸⣷⣿⠉⡇⢀⣯⣴⣿⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠑⠻⢿⣟⢧⡤⠶⠛⠋⠉⠻⣿⣽⡿⢿⣿⣿⣿⣿⣿⣿⣿⣿ ⣴⣶⣿⣧⣿⢃⠏⠀⡇⣼⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠲⠤⣀⠀⠀⠀⢻⡝⢿⣾⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣟⢿⣯⣎⠤⠔⡇⡿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠲⢴⣿⣿⣆⢻⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⣿⣿⡄⢿⠦⠀⢠⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⢄⡉⢿⣻⡄⢻⣿⣿⣿⣿⣿⣿⣿ ⠀⢸⣿⣿⣾⣇⠀⠋⡏⠀⠀⠀⠀⣀⡤⠴⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣭⣻⣎⠀⠹⣵⡟⠙⠛⢿⣿⣿⣿⣿ ⣴⣿⣿⣿⣻⣿⣆⢰⠁⠀⠀⠀⠘⠁⣶⠿⣶⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⠛⠋⠀⠀⢻⣠⣴⠀⣼⡟⠛⠛⠛ ⣿⣟⠙⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠙⠻⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣾⣿⠁⠀⠀⠀ ⡏⠁⠀⠘⢿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⠀⠀⢠⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⠃⠀⠀⠀⠀ ⣄⠀⢀⡀⠈⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⠃⠀⠀⠈⠻⣦⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⣿⣷⣤⣀⠀⠀⠀ ⣿⣷⣌⢿⣷⣍⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⠃⠀⠀⠀⠀⠈⠊⣙⠷⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⣿⡟⣎⣻⣼⣷⡆⠀ ⣿⣿⣿⣷⣽⣿⣿⣿⣷⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⠞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠙⠊⠉⠛⠷⢶⣤⣄⠀⠀⠀⢀⣠⣼⣿⣿⣿⣿⣷⣿⣿⡿⠿⠃⠀ ⣿⣿⢻⣿⣿⣿⣿⣿⣿⣿⡦⢶⣄⠀⠀⠀⠀⠀⠀⢀⣀⡤⠖⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⢿⣿⣿⣿⠿⠟⠛⠉⠁⠀⠙⣄⠀⠀ ⣸⣷⣿⣿⣿⢿⣿⣿⣿⣿⣿⡄⠈⠉⠉⠉⠉⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⠟⠉⠀⠀⠀⠀⠀⠀⠀⠀⠈⢦⠀ ⠿⠿⢿⣿⣿⣾⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠖⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢳ ⠀⠀⠀⠁⠚⠉⠛⠙⠛⣿⣿⣿⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠹⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⢹⡟⣿⣿⢳⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡏⠉⢹⣏⠀⠉⠓⠤⣄⣀⡠⠖⠋⢳⣀⣀⣀⣀⣀⣀⣾⣐⣈⣦⣀⣀⡤⠤⠖⠒⠒⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢸⡟⢸⠇⠸⣿⡄⡇⠀⠀⠀⠀⠀⠀⠀⢀⣠⠤⠷⠶⠾⡊⠦⣄⣀⡤⠖⠉⠀⣀⣴⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣾⢧⠟⠀⠀⠙⢧⡵⠀⢀⣀⠠⠤⠒⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠢⣤⣤⡴⠛⠉⠙⡆⠀⠀⠀⠀⢱⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠒⠚⠛⠛⠛⠛⠒⠒⠒⠒⠋⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡨⠋⠀⢀⣴⡾⠃⢀⠇⠀⠀⢸⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⡀⠀⠀⠀⠀⠀⠀⠀⣜⠁⢀⣼⠛⠛⠤⣰⣫⠖⠀⡄⢸⡦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣧⡀⠀⠀⠀⠘⢄⢸⢑⡷⢿⡿⢶⣄⠀⢈⠳⡄⣴⡧⢸⡏⠉⠳⡖⠲⠤⠤⢤⣄⣀⣠⡤⠴⠚⠉ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⡠⠤⠖⣚⣿⠀⠀⢄⡀⠙⠲⣍⣠⠋⠐⣠⣾⣿⢧⣴⣣⠏⣰⡿⠀⠀⠀⠹⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡠⠴⠒⠉⠁⠀⠀⠀⠀⠀⠈⢷⡀⠐⠭⣗⡀⡴⢁⢀⣼⣿⠂⠉⠢⣴⣁⡾⠋⠀⠀⠀⠀⠀⠹⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠑⠦⢄⣀⠀⠀⠀⠀⠀⢀⣠⡤⢒⠯⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⠦⢄⡀⠙⠧⣴⡋⣠⠟⠒⣤⣠⢀⠝⣄⠀⠀⠀⠀⠀⠀⠀⢧⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠈⠉⠉⠉⠉⠉⢉⠞⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠓⠦⣜⡽⠡⣤⣼⡯⣍⡉⢲⠊⠀⠀⠀⠀⠀⠀⠀⢸⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢠⠎⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢇⡰⠟⠋⠀⠀⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣠⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⡴⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡀⠀⠀⠀⠀⠀⠀⠀ ⡀⠀⠀⠀⠀⡼⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢧⠀⠀⠀⠀⠀⠀⠀ ⠃⠀⠀⠀⢰⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣆⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢀⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⡄⠀⠀⠀⠀⠀ ⠀⠀⠀⡸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⡄⠀⠀⠀⠀ ⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢳⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⡇⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢢⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠖⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣆⣀⣀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠾⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⢦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠾⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠛⠉ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡆⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣆⠀⠀⢀⡇⡀⠀⠀⡰⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⡄⣤⢞⡞⠀⣠⠞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡉⡏⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⡍⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣷⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀

⠀⠀⠀⠀⣀⢀⣠⣤⠴⠶⠚⠛⠉⣹⡇⠀⢸⠀⠀⠀⠀⠀⢰⣄⠀⠀⠀⠀⠈⢦⢰⠀⠀⠀⠀⠀⠈⢳⡀⠈⢧⠀⠀⠀⠀⢸⠀⠀⠀⠀ ⠀⠀⠉⠀⠀⠀⡏⠀⢰⠃⠀⠀⠀⣿⡇⠀⢸⡀⠀⠀⠀⠀⢸⣸⡆⠀⠀⠀⠰⣌⣧⡆⠀⢷⡀⠀⠀⣄⢳⠀⠀⢣⠀⠀⠀⢸⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⡇⠀⠘⠀⠀⠀⢀⣿⣇⠀⠸⡇⣆⠀⠀⠀⠀⣿⣿⡀⠀⠀⠀⢹⣾⡇⠀⢸⢣⠀⠀⠘⣿⣇⠀⠈⢧⠀⠀⠘⠀⢠⠀⠀ ⠀⠀⠀⠀⠀⢀⡇⠀⡀⠀⠀⠀⢸⠈⢻⡄⠀⢷⣿⠀⠀⠀⠀⢹⡏⣇⠀⣀⣀⠀⣿⣧⠀⢸⠾⣇⣠⣄⣸⣿⡄⠀⠘⡆⠀⠀⠀⠀⠆⠀ ⠀⠀⠀⠀⠀⣾⢿⠀⠇⠀⠀⠀⢸⠀⠀⢳⡀⢸⣿⡆⠀⠀⠀⣬⣿⡿⠟⠋⠉⠙⠻⣽⣀⡏⠀⠙⠃⢹⡙⡿⣷⠀⠀⢹⠀⠀⠀⠀⠰⠒ ⠀⠀⠀⠀⢸⣿⣿⣇⢸⠀⠀⠀⢸⣦⣤⡀⣷⣸⡟⢧⣀⡴⠶⠿⠻⡄⣀⣤⣴⡾⠖⠚⠿⡀⠀⠀⠀⠈⣧⠁⠹⠆⠀⠀⣇⠀⠀⠀⠀⠀ ⠀⠀⠀⢀⢸⣀⣼⣿⣼⡆⠀⢀⡘⡇⠀⠀⠹⡟⢷⡜⢉⣠⣠⣠⣀⣤⡿⣛⣥⣶⣾⡿⠛⠿⠿⣶⣦⡤⢹⠀⢀⠀⠀⠀⢹⡄⠀⠀⠀⠀ ⠀⠀⠀⢸⢸⡛⠁⠀⠙⢿⠋⠉⠉⠻⠀⠀⠀⢿⣄⠈⠁⠀⠀⠀⢉⢟⣴⡿⠿⠟⢁⠇⠀⠀⠀⠀⠹⣿⠻⡇⢸⠀⠀⠀⠈⣷⠀⠀⠀⠀ ⠀⣀⣀⣘⣿⡇⠀⢀⣠⣤⣶⣶⣶⣾⣦⡀⠀⠈⡿⠀⠀⠀⠀⠀⠀⣿⠟⠳⠦⡤⠊⠀⠀⠀⠀⠀⣸⠇⠀⡇⣼⠀⢰⠀⠀⢹⣇⠀⠀⠀ ⠛⠁⠈⣿⣷⣧⣴⣿⠿⠛⣿⠿⣿⣿⡿⠗⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⣠⣴⣶⠿⠿⠿⡷⢛⠕⠷⡄⣧⣿⠀⢸⠀⠀⠸⣿⡄⠀⠀ ⠀⠀⢠⣿⢿⣿⣿⠁⠀⠀⠈⠳⠤⠶⠃⠀⠀⢰⡀⠀⠀⠀⠀⠀⠀⠀⣠⣿⣿⠟⣱⠒⡠⢆⡴⣣⣯⢞⣴⡟⢿⡄⡏⠀⠀⠀⡏⢷⡀⠀ ⠀⠀⡌⣿⠀⠙⣿⡦⢀⣤⡴⣶⠖⣲⠆⢀⠞⠁⠱⠀⠀⠀⠀⠀⠠⣾⠟⠛⡡⠞⠁⢀⡴⢋⢎⣽⡿⣫⠋⠀⠘⢷⠃⡄⠀⠀⡇⠈⣿⡀ ⠀⠀⣇⢹⣦⠀⠼⢃⡾⢋⣶⢃⡼⣹⡳⠃⠊⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠈⠠⠋⠀⡰⠋⠀⢘⣇⡇⠀⢠⠟⠀⡇⠀⠀⠀⠀⢹⡵ ⠀⠀⢻⣌⢿⡆⠀⡝⣼⠟⣩⢏⣾⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠞⠀⠀⠀⠀⠈⠀⣠⠏⣠⣾⡇⠀⠀⠀⠀⠘⣷ ⡀⠀⢸⣿⣿⣷⠆⢠⠏⡴⠃⡡⠋⠀⠀⠀⠀⠀⠀⣀⣠⠤⠔⠒⠤⣄⣀⠀⠀⢀⣰⠏⠀⠀⠀⠀⢀⣠⡾⠗⠋⢰⠏⡇⠀⠀⠘⠀⠰⢻ ⣇⠀⠘⣿⣿⣟⠻⣄⡞⠀⠐⠁⠀⠀⠀⠀⠀⣠⠞⣩⣤⣶⣶⣾⣷⣶⣬⣿⣿⣿⡏⠀⠀⠀⠀⠉⠉⠁⠀⠀⠀⢸⡆⡇⠀⠀⠀⠀⠀⠀ ⠹⡄⠀⠹⣿⣿⡄⠀⠉⠉⠀⡀⠀⠀⠈⢻⣾⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣇⣧⠀⠀⠀⠀⠀⠀ ⠀⣿⢦⣀⠘⢿⣷⡀⠀⠀⡀⢦⠀⠀⠀⠀⠹⣿⣿⠏⠙⢻⣿⡿⠛⠉⠀⠸⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⣿⣿⠀⠀⡆⠀⠀⡀ ⢼⣿⠀⠈⢳⣤⣉⣻⣤⣀⣉⣩⠆⠀⠀⠀⠀⠹⡿⠀⠀⠈⡿⠀⠀⠀⠀⣸⡇⠀⠀⠀⠀⠀⠀⠓⠂⠀⣠⣾⣿⣿⡿⢿⡄⠀⣧⠀⠀⠹ ⣾⠃⠀⣠⣿⣿⣿⣿⣿⣿⣄⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⢸⡇⠀⠀⢠⠴⣿⡄⠀⠀⠀⠀⠀⠀⠀⣠⣾⣿⣿⣿⡿⣧⣀⠧⣰⣻⢄⠀⠀ ⠛⠶⢾⣿⣽⣭⣽⣭⢹⣷⠀⢹⣦⣀⠀⠀⠀⠀⡄⠀⠀⣸⡀⠀⠀⠁⣰⣧⣽⠀⠀⠀⠀⢀⣴⣾⣿⣿⡟⣻⣿⣿⣿⣿⢠⣿⣧⡸⣷⣄ ⠀⠀⠀⠈⠙⠿⣿⣿⣿⠏⠀⣾⣿⣿⣷⣦⣀⠀⢇⠀⠀⠈⠁⠀⣠⠔⠁⠀⠀⠀⠀⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠏⣼⣿⠏⣷⡈⠉ ⠀⠀⠀⠀⠀⠀⠀⠙⠻⣶⣾⣿⣿⣿⣿⣿⣿⣷⣾⡆⠀⠀⠀⡾⠁⠀⠀⠀⣀⡴⠞⠛⣛⣿⡿⠿⠛⠛⠉⠉⠀⠀⠀⢰⣿⡿⠂⠈⠻⡄ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢎⠉⠛⠻⠿⠿⠿⠿⠿⣇⠠⠸⣇⣀⣤⣴⣾⡭⠶⠛⠋⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⠇⠀⠀⠀⠘ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠑⣤⡀⠀⠀⠀⠀⠀⠈⣳⠀⣿⠛⠻⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⡯⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣤⣤⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⠀⠀⠀⢀⣴⠟⠉⠀⠀⠀⠈⠻⣦⡀⠀⠀⠀⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣷⣀⢀⣾⠿⠻⢶⣄⠀⠀⣠⣶⡿⠶⣄⣠⣾⣿⠗⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⢻⣿⣿⡿⣿⠿⣿⡿⢼⣿⣿⡿⣿⣎⡟⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⡟⠉⠛⢛⣛⡉⠀⠀⠙⠛⠻⠛⠑⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣧⣤⣴⠿⠿⣷⣤⡤⠴⠖⠳⣄⣀⣹⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣀⣟⠻⢦⣀⡀⠀⠀⠀⠀⣀⡈⠻⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⡿⠉⡇⠀⠀⠛⠛⠛⠋⠉⠉⠀⠀⠀⠹⢧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⡟⠀⢦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠃⠀⠈⠑⠪⠷⠤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣾⣿⣿⣿⣦⣼⠛⢦⣤⣄⡀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠑⠢⡀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢀⣠⠴⠲⠖⠛⠻⣿⡿⠛⠉⠉⠻⠷⣦⣽⠿⠿⠒⠚⠋⠉⠁⡞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢦⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⣾⠛⠁⠀⠀⠀⠀⠀⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠤⠒⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢣⠀⠀⠀ ⠀⠀⠀⠀⣰⡿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣑⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⡇⠀⠀ ⠀⠀⠀⣰⣿⣁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣧⣄⠀⠀⠀⠀⠀⠀⢳⡀⠀ ⠀⠀⠀⣿⡾⢿⣀⢀⣀⣦⣾⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡰⣫⣿⡿⠟⠻⠶⠀⠀⠀⠀⠀⢳⠀ ⠀⠀⢀⣿⣧⡾⣿⣿⣿⣿⣿⡷⣶⣤⡀⠀⠀⠀⠀⠀⠀⠀⢀⡴⢿⣿⣧⠀⡀⠀⢀⣀⣀⢒⣤⣶⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇ ⠀⠀⡾⠁⠙⣿⡈⠉⠙⣿⣿⣷⣬⡛⢿⣶⣶⣴⣶⣶⣶⣤⣤⠤⠾⣿⣿⣿⡿⠿⣿⠿⢿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇ ⠀⣸⠃⠀⠀⢸⠃⠀⠀⢸⣿⣿⣿⣿⣿⣿⣷⣾⣿⣿⠟⡉⠀⠀⠀⠈⠙⠛⠻⢿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇ ⠀⣿⠀⠀⢀⡏⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⠿⠿⠛⠛⠉⠁⠀⠀⠀⠀⠀⠉⠠⠿⠟⠻⠟⠋⠉⢿⣿⣦⡀⢰⡀⠀⠀⠀⠀⠀⠀⠁ ⢀⣿⡆⢀⡾⠀⠀⠀⠀⣾⠏⢿⣿⣿⣿⣯⣙⢷⡄⠀⠀⠀⠀⠀⢸⡄⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣿⣻⢿⣷⣀⣷⣄⠀⠀⠀⠀⢸⠀ ⢸⠃⠠⣼⠃⠀⠀⣠⣾⡟⠀⠈⢿⣿⡿⠿⣿⣿⡿⠿⠿⠿⠷⣄⠈⠿⠛⠻⠶⢶⣄⣀⣀⡠⠈⢛⡿⠃⠈⢿⣿⣿⡿⠀⠀⠀⠀⠀⡀ ⠟⠀⠀⢻⣶⣶⣾⣿⡟⠁⠀⠀⢸⣿⢅⠀⠈⣿⡇⠀⠀⠀⠀⠀⣷⠂⠀⠀⠀⠀⠐⠋⠉⠉⠀⢸⠁⠀⠀⠀⢻⣿⠛⠀⠀⠀⠀⢀⠇ ⠀⠀⠀⠀⠹⣿⣿⠋⠀⠀⠀⠀⢸⣧⠀⠰⡀⢸⣷⣤⣤⡄⠀⠀⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡆⠀⠀⠀⠀⡾⠀⠀⠀⠀⠀⠀⢼⡇ ⠀⠀⠀⠀⠀⠙⢻⠄⠀⠀⠀⠀⣿⠉⠀⠀⠈⠓⢯⡉⠉⠉⢱⣶⠏⠙⠛⠚⠁⠀⠀⠀⠀⠀⣼⠇⠀⠀⠀⢀⡇⠀⠀⠀⠀⠀⠀⠀⡇ ⠀⠀⠀⠀⠀⠀⠻⠄⠀⠀⠀⢀⣿⠀⢠⡄⠀⠀⠀⣁⠁⡀⠀⢠⠀⠀⠀⠀⠀⠀⠀⠀⢀⣐⡟⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⢠⡇

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡇⠀⠀⠀⠀⠔⡆⢿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡃⠀⠀⠈⠀⠀⠁⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⠁⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢀⡠⣼⡆⡄⢀⠃⠀⢸⠀⡀⡇⠂⠤⣀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢠⠊⠁⠀⣼⠡⠇⢻⠀⢠⠸⡄⡇⢹⠀⠀⠈⢳⡀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢀⠀⢀⢢⡇⢦⠀⣸⡀⢰⠀⣷⣷⠈⣇⠀⠀⢸⠇⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠈⣆⣼⡿⠤⣼⣠⣏⣇⣼⣶⣹⣾⠧⠼⢦⣀⡿⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⡠⠞⠁⠀⠀⠀⠀⠙⠹⢿⠋⠁⠀⠀⠀⠀⠉⠣⡀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣠⠎⠀⠀⠀⠀⠀⠀⠀⠀⣠⣿⡀⠀⠀⠀⠀⠀⠀⠀⠈⢢⢄⠀⠀⠀ ⠀⠀⢀⣾⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⡗⠀⠀⠀⠀⠀⠀⠀⠀⢸⠈⢢⠀⠀ ⠀⢠⠃⢿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⡏⠉⣁⠀⠀⠀⠀⠀⠀⠀⠀⢸⠄⠀⢡⠀ ⠀⣼⠀⠸⡇⠀⠀⠀⠀⠀⠀⠀⠀⣼⠐⣦⢹⣆⠀⠀⠀⠀⠀⠀⠀⣼⠀⠀⠀⡄ ⠀⣿⠀⠀⢷⠀⠀⠀⠀⠀⢀⡀⢀⡏⠀⣿⠀⡏⠑⠀⠀⠀⠀⠀⠀⣼⠀⠀⠀⠃ ⠀⢹⡆⠀⠸⡄⠀⠀⠀⠀⠀⠀⠙⣷⠀⣗⢠⡿⠛⠁⠀⠀⠀⠀⢈⡇⠀⠀⢀⠀ ⠀⠀⢿⠀⠀⢿⠀⠀⠀⠀⠀⠀⠀⠙⣷⣿⡿⠁⠀⠀⠀⠀⠀⠀⢸⡇⠀⢀⡎⠀ ⠀⠀⠘⣇⠀⠘⣇⠀⠀⠀⠀⠀⠀⠀⣿⣽⡇⠀⠀⠀⠀⠀⠀⢰⡿⠀⢀⡞⠀⠀ ⠀⠀⠀⠹⡇⠀⠸⣆⡀⠀⠀⠀⠀⠀⣿⣿⡆⠀⠀⠀⠀⠀⢰⣿⠃⠀⣼⠃⠀⠀ ⠀⠀⠀⠀⢿⣦⠀⠹⣆⠀⠀⠀⣀⣤⣿⣿⣷⣄⠀⠀⣀⣴⣿⡧⣀⣼⡏⠀⠀⠀ ⠀⠀⠀⠀⠸⣿⣷⣿⣿⣷⣶⣿⣿⣿⣿⣿⣿⣿⣶⣶⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀ ⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⡇⠀⠀⠀ ⠀⠀⠀⠀⠀⡿⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢠⡇⠀⠀⠀ ⠀⠀⠀⠀⠀⢁⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⡇⠀⠀⠀ ⠀⠀⠀⠀⠀⢸⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⡇⠀⠀⠀ ⠀⠀⠀⠀⠀⢸⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠀⡇⠀⠀⠀ ⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⢻⣿⣿⣿⠏⣿⣿⣿⡟⠻⣿⣻⣿⡇⢰⠇⠀⠀⠀ ⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣷⣼⣿⣿⣿⠀⣿⣿⣿⡇⠀⢹⣿⣿⣠⣿⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⣿⣿⡇⣿⣿⣿⣿⣿⣿⣿⠀⢿⣿⣿⣇⣀⢸⣿⣿⣯⠇⠀⠀⠀⠀ ⠀⠀⠀⠀⠈⢻⣿⠇⣿⣿⣿⣿⣿⣿⡇⠀⠸⣿⣿⣿⣯⢸⣿⡷⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⡾⡏⠀⣿⣿⣿⣿⣿⣿⠁⠀⠀⢻⣿⠿⠃⠐⢻⡇⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠈⠀⠁⠀⢸⡏⠁⠀⠹⣿⠀⠀⠀⠘⡇⠀⠀⠀⢨⡇⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠇⠀⠀⠀⠻⠀⠀⠀⠀⢷⠀⠀⠀⢸⠁⠀⠀⠀⠀⠀⠀ ⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠚⠓⠒⠒⣒⣒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒

⠀⠀⠀⠀⠈⢧⠀⢳⣿⣆⠀⠀⠀⡤⠄⠠⢤⠀⠀⠀⣼⡏⠐⢀⡉⠘⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⡢⠀⠘⠋⢓⢢⡀⠁⠢⠔⠁⢀⣤⠞⢃⠁⠀⣼⢧⡇⢠⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠈⠐⠄⡀⠀⠙⠻⠷⣤⡤⠖⠋⠁⠀⡜⢀⢜⠏⣸⣾⡜⡆⢀⣶ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠑⠠⡀⠀⠀⠀⠀⠀⠀⡐⡠⢀⠌⠀⢸⣸⢸⣿⠳⣬ ⠀⠐⢦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠜⠈⠀⠀⠀⠀⢸⢹⠀⠿⣧⠘ ⣀⣀⣼⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⠊⠀⠀⠀⠀⠀⠀⠀⠘⡿⠀⠀⢳⡧ ⡞⢰⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⠀⠀⠀⠀⠀⠀⠀⢀⠣⡀⠀⠀⠸⡷ ⢳⣾⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠀⠀⠀⠀⠀⠀⠀⢀⢆⡆⠀⠀⠀⠀⡇ ⢊⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⢌⠎⠀⠀⠀⠀⠀⣷ ⢸⣾⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⡢⠊⠀⠀⠀⠀⠀⠀⡿ ⣇⠹⣥⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠀⠀⠀⠀⡐⠕⠁⠀⠀⠀⠀⠀⠀⢰⢃ ⢿⣄⢡⢂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣆⣀⡠⡪⠊⠀⠀⠀⠀⠀⠀⢀⣠⢯⢫ ⢻⣏⣳⣧⠳⣄⠀⠀⠀⠀⠀⠀⣀⣴⡿⢛⣥⠊⠀⠀⠀⠀⠀⠀⢀⣠⡞⡱⣡⠁ ⠀⠀⠀⠈⠑⠹⣧⡴⠖⠲⠮⣛⣫⠕⠊⠥⠤⠀⠀⢤⣤⣀⡒⠈⠁⠀⠀⠀⠀⠀

⠉⠉⠉⠉⠉⠉⠉⠉⠉⣉⠯⡽⣿⣧⣼⣯⣙⡏⠉⠉⠫⡷⠶⡴⠦⢶⠶⠆⠤⠀ ⣤⣤⣤⣤⣤⣤⣤⡴⠋⣑⢞⠍⠀⣸⣆⠀⠀⠗⣶⠀⠀⠰⠀⠈⠁⠁⠀⠉⠀⠀ ⠿⠿⠿⠿⠿⢻⡿⣽⣿⡿⢳⡖⣨⠏⠸⡜⡀⢡⠈⡆⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣸⠁⡻⢿⢣⣟⣛⠉⢡⠃⠇⡇⠀⠀⣳⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣤⣤⣤⣤⣤⣼⠀⣇⠄⣆⠉⠉⠉⠘⣜⣼⢇⠜⢀⣿⣤⠤⠤⠄⠀⠀⠀⠀⠀⠀ ⣿⣿⢇⡐⠃⠙⣷⣻⠑⡄⠀⠀⠀⠀⠀⠑⢪⣪⡾⢿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⠁⠐⠁⠀⠀⠘⢿⣧⡏⠢⣀⠀⠀⣀⡰⠟⠁⠀⠘⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⡃⠀⠀⠀⡠⠊⠉⠉⠙⠥⠀⣀⢙⣯⡥⠤⠤⠤⣀⣇⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠃⠀⠀⠀⡤⠀⠀⠉⠉⠐⠢⠀⠐⠂⠒⠳⢌⣀⠀⠀⠀⢀⠀⠀⠀⠀ ⠀⠀⠀⠈⡄⠀⠀⢰⠀⠀⠀⠀⠓⠀⠀⠈⠆⠀⠀⠀⠀⠽⣴⠀⠀⢸⠀⠀⠀⠀ ⠀⠀⠀⣀⣵⠀⠀⠸⡀⠀⠀⠀⠀⠀⠀⠀⡆⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣿⣿⡆⠀⠀⢱⠤⠀⠀⠀⠤⠐⠊⠈⠢⣀⠀⠀⢠⠟⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣿⣿⣧⠀⠀⠘⡄⠀⠀⠀⠀⠀⠀⠀⠀⠈⡗⠊⠹⠀⠀⠀⠀⠀⠀⢻⠟ ⠀⠀⠀⣿⣿⣿⡆⠀⠀⣷⡠⠀⠀⠀⠀⠀⠀⠘⠀⠳⡀⠀⠀⡆⠀⠀⠀⠀⢸⠀ ⠀⠀⠀⣽⣿⣿⡗⠀⢀⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠑⢄⡆⡇⠀⠀⠀⠀⠈⠀ ⠀⠀⠀⣾⠿⣱⣷⠀⡌⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠑⠇⡀⠀⠀⠀⠀⠀ ⠀⠀⠀⠙⠓⠛⠛⡶⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠑⡀⢀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢀⠃⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⢀⠆⠀⠀⠑⣸⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⡈⠀⠀⠀⠀⠀⠀⠀⠈⠠⡀⠀⠀⠀⠀⡌⠀⠀⠀⠀⠹⠀⠀⢋ ⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠢⠀⠀⢠⠀⠀⠀⠀⠀⠀⠀⠀⠸ ⠀⢀⠀⠀⢀⡀⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢱⣠⠞⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠈⠢⠁⢠⣿⡇⠀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢣⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣤⡶⠛⠛⠉⠉⣉⣛⡲⢤⡀⢸⢧⡀⠀⣠⣾⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⡾⠋⠁⢀⣠⠶⠒⢉⡩⠍⠉⣳⣿⣿⣟⣷⣾⡿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⡿⠋⠀⣀⡔⠋⠀⣠⠞⠉⠀⣠⠖⠋⢩⡟⢻⣿⠻⣝⢦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣾⠏⠀⠀⡴⠋⠀⣠⠞⠁⠀⢀⡞⠁⠀⠀⣼⡇⠘⡏⢧⢻⠈⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⠃⠀⢀⡾⠁⢠⠞⠁⣠⠂⣴⠏⠀⡀⠀⢀⣿⡇⠀⡇⠘⣾⢳⣼⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⠇⠀⣴⣿⠁⡴⠃⢀⡞⣡⡿⡏⠀⡼⠁⠀⣿⡿⠁⠀⡇⠀⣿⡈⢿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⡾⡏⠀⣸⣽⣏⡾⠁⣰⣯⡟⠉⢹⠃⣸⠃⠀⣾⣽⡇⠀⠀⡇⠀⢸⡇⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢀⠄⢹⠁⢸⠃⢸⡟⠀⣼⣿⣷⣦⣄⣿⣸⠇⠀⣸⣿⠋⣿⡀⠀⡇⠀⣿⣷⠈⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢀⡌⠀⢸⠀⡏⠀⡾⠃⣴⠋⠸⣿⣿⠟⣿⠏⢀⣷⡿⠃⠀⠸⣇⢠⡇⢰⣇⢿⣇⢸⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠈⠈⠀⢸⢰⠇⣷⠇⣰⡏⠀⠀⠀⠀⠀⡿⣠⠟⡿⢃⣤⣤⣤⣿⢸⢁⣿⢿⡈⢿⣯⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⣀⣀⣀⣀⡸⢾⢀⡟⢰⣿⡇⠀⠀⠀⠀⠀⠟⠁⠀⠁⠘⠿⠿⢛⣿⠇⣸⡇⢸⣷⣘⣿⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢀⣴⣿⣿⣿⣿⣿⣿⣾⣼⡇⣾⣿⣿⡀⠀⠀⠀⠀⠀⣀⣠⣤⣤⣤⣴⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣝⣦⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⢀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⡙⣧⣀⣀⣀⣤⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣎⢿⣦⣄⠀⠀⠀⠀⠀ ⢠⣾⣿⣿⣿⣿⣿⠿⠋⠉⠉⠁⠀⠀⠈⠉⠉⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣻⡟⠀⠀⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡷⡇⠀⠀⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣷⡄⠀⠀⠀⣠⡴⠆⠀⠀⢀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠁⠀⠘⣆⠀⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⣷⣀⣦⣶⣿⣿⣶⣦⣤⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠁⠀⠀⠀⠆⠹⣆⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣀⣀⣀⠢⠀⢸⣾⡀⢻⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠙⠓⠶⣬⣫⣧⠈⡇⠀⠀ ⠀⢻⣿⣿⢳⣿⣿⣿⣿⣯⣷⣿⡿⠿⠛⠛⠛⠛⠛⠛⠿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠈⢻⢤⡟⠀⠀ ⠀⢸⣿⣿⣿⣿⣿⣿⣿⠟⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⡄⠉⠉⠉⠉⠉⠛⠻⢿⣿⣿⣿⣿⣇⡉⠳⠲⣶⠶⢾⣾⡇⠀⠀ ⠀⠸⣿⣿⣿⣿⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢧⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣿⣿⣿⣿⣆⠀⠈⢡⣴⡟⠃⠀⠀ ⠀⠀⢹⣿⣿⡿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣿⣿⣿⣿⣿⡿⠟⣿⡇⠀⠀⠀ ⠀⠀⢺⣿⣿⡇⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⣸⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⠟⠋⠀⢀⣽⡇⠀⠀⠀ ⠀⠀⢿⣿⣿⣷⡀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⢐⣼⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⠟⠁⠀⠀⣠⢸⠁⡇⠀⠀⠀ ⠀⠀⠘⣿⣿⣿⣇⠀⠀⠀⠙⠲⠄⣀⣀⡀⠀⠀⠀⠀⢀⣵⠟⡟⠷⣄⠀⠀⠀⠀⠀⠀⠀⢀⣼⡟⠁⣶⠀⣴⣾⣏⡏⠀⡇⠀⠀⠀ ⠀⠀⠀⠈⢿⣿⣿⣆⣄⠀⠀⠀⠀⠀⠉⠉⠀⠀⠀⢠⡿⠁⢠⡇⠀⠈⠳⣤⣤⣤⣠⣤⡴⣟⣽⠇⣸⢫⠾⣯⢟⡞⠀⢰⠃⠀⠀⠀ ⠀⠀⠀⠀⠀⠙⢿⣿⣆⣀⠀⠀⠀⠀⠀⠀⠀⠀⣰⠏⠀⠀⢸⠃⠀⠀⠀⠀⢀⣿⣿⣏⣼⣿⡿⢰⣿⠏⣼⣿⡿⠁⠀⣸⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠙⠿⣿⠀⠀⠀⠀⠀⠀⢀⡼⠃⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣿⣿⡿⠃⣿⠇⣸⠃⢸⣿⣾⠀⠀⠀⡿⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⠀⠀⠀⠀⠀⠀⠘⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⠟⠁⠀⣿⣴⠇⢀⣿⢿⠇⠀⠀⢸⠇⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⡏⠀⠀⠀⢸⠏⠀⢸⡿⢸⡀⠀⠀⢸⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢣⡀⠀⠀⢸⠀⠀⢸⡇⠀⠷⠀⠀⢸⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣰⠃⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⠀⠀⠀⠀⠀⠀⠀⢱⡀⠀⠸⣇⠀⠸⠇⠀⠀⠀⠀⢸⡆⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢠⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠻⡄⠀⠹⡆⠀⠀⠀⠀⠀⠀⠀⠛⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢀⡞⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⡄⠀⠀⠀⠀⠀⠀⠀⠀⠻⡄⠀⠙⢦⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢸⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⢿⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠃⠀⠀⠀⠈⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢰⡇⠀⠀⠀⠀⠀⠀⠀⠀⠈⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠹⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣼⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢀⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣇⠀⠀⠀⠀⠀⠀⠀⠀⡄⠀⠀⠀⠀⠀⠀⠀⠀⢻⠷⣦⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣾⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣦⠀⠀⠀⠀⠀⠀⣰⠃⠀⠀⠀⠀⠀⠀⠀⢠⡿⠀⣿⣤⡀⠀⠀⠀⠀⠀⠀ ⠀⠀⣶⣏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢶⡀⠀⠀⠀⢀⡏⠀⠀⠀⠀⠀⠀⠀⣴⡿⠁⢠⠛⣆⡃⠀⠀⠀⠀⠀⠀ ⠀⣸⣇⠉⠓⠦⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣧⡀⠀⢠⠟⠀⠀⠀⠀⠀⠀⣠⠞⣻⢃⡴⠋⠀⠘⢇⢠⡀⠀⠀⠀⠀ ⣰⠇⠈⠑⣶⡤⣀⡉⠙⠒⠶⠤⣄⣀⡀⠀⠀⠀⠀⠀⠀⠀⠈⢷⣲⠏⠀⠀⠀⠀⠀⢠⡾⠁⢰⡿⢻⡀⠀⠀⠀⠘⣇⠙⢦⠀⠀⠀ ⠇⠀⠀⢠⡟⠀⠈⠉⠛⣶⠤⢤⣄⡈⠉⠛⠒⠤⣤⣄⣀⠀⠀⠸⡏⠀⠀⠀⠀⠀⢠⡟⠁⠀⡿⠀⠈⠻⡄⠀⠀⠀⠘⣧⠀⠳⡄⠀ ⠀⠀⠀⠟⠀⠀⠀⠀⠀⡇⠀⠀⠀⠈⠉⠳⠦⢤⣀⡀⠈⠛⢿⢀⣻⡀⠀⠀⠀⠠⢾⠤⠤⠀⡇⠀⠀⠀⠙⢦⠀⠀⠀⠈⠷⡄⠘⠆

⠀⠀⠀⠀⠀⠀⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢀⣴⣿⣿⠿⣟⢷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢸⣏⡏⠀⠀⠀⢣⢻⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢸⣟⠧⠤⠤⠔⠋⠀⢿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣿⡆⠀⠀⠀⠀⠀⠸⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠘⣿⡀⢀⣶⠤⠒⠀⢻⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢹⣧⠀⠀⠀⠀⠀⠈⢿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣿⡆⠀⠀⠀⠀⠀⠈⢿⣆⣠⣤⣤⣤⣤⣴⣦⣄⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⣾⢿⢿⠀⠀⠀⢀⣀⣀⠘⣿⠋⠁⠀⠙⢇⠀⠀⠙⢿⣦⡀⠀⠀⠀⠀⠀ ⠀⠀⠀⢀⣾⢇⡞⠘⣧⠀⢖⡭⠞⢛⡄⠘⣆⠀⠀⠀⠈⢧⠀⠀⠀⠙⢿⣄⠀⠀⠀⠀ ⠀⠀⣠⣿⣛⣥⠤⠤⢿⡄⠀⠀⠈⠉⠀⠀⠹⡄⠀⠀⠀⠈⢧⠀⠀⠀⠈⠻⣦⠀⠀⠀ ⠀⣼⡟⡱⠛⠙⠀⠀⠘⢷⡀⠀⠀⠀⠀⠀⠀⠹⡀⠀⠀⠀⠈⣧⠀⠀⠀⠀⠹⣧⡀⠀ ⢸⡏⢠⠃⠀⠀⠀⠀⠀⠀⢳⡀⠀⠀⠀⠀⠀⠀⢳⡀⠀⠀⠀⠘⣧⠀⠀⠀⠀⠸⣷⡀ ⠸⣧⠘⡇⠀⠀⠀⠀⠀⠀⠀⢳⡀⠀⠀⠀⠀⠀⠀⢣⠀⠀⠀⠀⢹⡇⠀⠀⠀⠀⣿⠇ ⠀⣿⡄⢳⠀⠀⠀⠀⠀⠀⠀⠈⣷⠀⠀⠀⠀⠀⠀⠈⠆⠀⠀⠀⠀⠀⠀⠀⠀⣼⡟⠀ ⠀⢹⡇⠘⣇⠀⠀⠀⠀⠀⠀⠰⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⠀⣼⡟⠀⠀ ⠀⢸⡇⠀⢹⡆⠀⠀⠀⠀⠀⠀⠙⠁⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⢳⣼⠟⠀⠀⠀ ⠀⠸⣧⣀⠀⢳⡀⠀⠀⠀⠀⠀⠀⠀⡄⠀⠀⠀⠀⠀⠀⠀⢃⠀⢀⣴⡿⠁⠀⠀⠀⠀ ⠀⠀⠈⠙⢷⣄⢳⡀⠀⠀⠀⠀⠀⠀⢳⡀⠀⠀⠀⠀⠀⣠⡿⠟⠛⠉⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠈⠻⢿⣷⣦⣄⣀⣀⣠⣤⠾⠷⣦⣤⣤⡶⠟⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠈⠉⠛⠛⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠠⡲⠊⠁⠀⠀⠀⠀⠀⠀⠈⠰⣄⠈⢊⠒⠤⡀⠀⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠘⠀⠀⠀⠀⠀⠀⠀⠈⠢⠀⠀⠈⠣⠀⠌⠐⠠⡑⠢⡀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠑⠠⡀⠡⠀⢠⠀⡱⢸⡀⠀⠈⠢⠘⢦⡀⠀⠀⠀⠀ ⠀⠀⠀⠘⠀⠀⠀⠀⠀⠀⢀⠔⠉⠢⣡⠀⡄⠰⣇⡞⠢⡄⠀⠑⡘⡹⠀⠀⠀⠀ ⠀⠀⠀⠀⢃⠀⠀⠀⣠⣾⣁⠠⡀⠀⠘⢆⢸⡄⣿⡇⠄⠐⣧⡀⢣⡷⠆⠀⠀⠀ ⠀⠀⠀⠀⠈⠆⠀⡏⠘⠋⣀⣠⣴⣀⠀⠈⢜⠰⠘⠈⢿⠻⡻⢷⠘⣏⡀⠀⠀⠀ ⠀⠀⠀⠢⡀⠈⢃⢣⣧⠞⠟⠉⢀⡹⠆⠀⠈⠀⠹⠀⠀⠋⠉⠒⠳⡙⣿⣦⠀⠀ ⡤⠆⠀⡀⠀⡀⠀⠺⡧⠄⠐⡋⠁⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⢣⣀⠈⠑⠠ ⠁⡘⢠⠈⠌⣂⠢⡀⠈⡂⢅⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣢⣽⠀⠀⠘⡄⠑⠄⠀ ⠀⠀⢻⡗⢤⡈⠢⡈⠢⡈⠪⣝⠲⠦⠄⠀⠀⠀⢰⣿⣿⣿⢿⠀⠀⢠⣈⢂⠈⠀ ⠀⠀⢀⠛⠸⢻⣷⣬⢦⢐⡀⠈⢢⠀⠀⠀⠀⠀⠈⠫⡄⢀⣀⡡⠀⣼⣇⠱⣧⠈ ⠀⠘⠐⣀⡠⠛⡀⠀⢀⢃⡳⢀⠰⢣⠀⠀⠀⠀⠀⠀⠀⠉⠉⠁⢰⣿⡟⢀⠏⠄ ⠀⠆⣸⣵⠁⠀⣿⡻⣿⠃⣀⣀⠱⡇⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⡷⠮⠚⠂ ⠀⠀⣿⡌⠀⣠⠟⠙⣇⠀⣓⣻⠀⠈⠂⠈⠙⠒⠶⡶⠶⠚⠛⠉⠁⠀⠀⠀⠀⠀ ⠀⠀⠏⠀⢴⡇⢠⢠⠃⠁⡃⢉⣀⡀⠒⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣴⣶⣶⣤⡀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⡆⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⡟⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢿⣿⣿⣿⣿⠟⠁⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣾⣿⣿⣿⣶⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣬⣉⠉⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣄⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣆⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣿⣿⣿⣿⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣤⣤⣍⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⢿⣿⣿⣷⡀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⡟⢀⣿⣿⣿⣷ ⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⣿⣿⣿⣿⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣧⣾⣿⣿⠟⠁ ⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣴⣶⣶⣶⣄⠀⠀⣸⣿⣿⣿⣿⣿⣿⡿⠋⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⠿⣿⣿⣿⣄⠀⠀⠀⠀⠀⣀⡀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣷⠀⣿⣿⣿⣿⣿⠟⠁⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⡟⠀⠹⣿⣿⣿⣦⠀⢀⣶⣿⣿⣿⣷⡀⣿⣿⣿⣿⣿⣿⣿⣿⠇⢿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⠁⠀⣀⣈⠻⣿⣿⣷⣿⣿⣿⣿⣿⡿⠁⠹⣿⣿⣿⣿⣿⣿⠟⠀⢸⣿⣿⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢿⣿⣿⣿⣿⣿⡏⢠⣾⣿⣿⣷⣜⢿⣿⣿⣦⠀⠀⠀⠀⢀⣀⣈⡙⠛⠛⠋⠁⠀⠀⢸⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⣿⣿⡇⣿⣿⣿⣿⣿⣿⣧⣝⣛⣡⣶⣶⣾⣿⣿⣿⣿⣿⣦⠀⠀⠀⠀⠀⠈⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⡇⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⡇⠀⣿⣿⣿⣿⣿⠛⠛⠻⠿⢿⣿⣿⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⢹⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀ ⠀⢀⣤⣤⣤⣤⣤⣼⣿⣿⣿⣿⡇⠀⢹⣿⣿⣿⣿⠀⠀⠀⠀⠀⠻⣿⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀ ⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⢠⣼⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠉⢀⣿⣿⣿⣤⣤⣄⣀⣀⣀⡀⠀⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀ ⠈⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣾⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠀⠻⣿⣿⠟⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

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⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⠤⠤⠤⠤⠤⢄⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⠊⠉⠀⠀⠀⠀⠀⠀⠀⠀⠈⠑⠢⣀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⡿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠳⡀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⠏⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢈⣆⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⡇⠀⣀⠀⢠⠀⡜⠀⠀⢀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⠇⠀⡃⢀⠀⣴⡇⠀⣸⣿⡅⡀⠀⠀⠀⠀⡆⠀⠀⠀⣿⡇⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⢠⢰⡇⡎⢠⣻⣄⣠⣿⠛⣿⣿⠀⠀⠀⢠⣿⠶⡄⠀⣿⡇⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⡇⢸⣾⣇⣿⣿⠿⣿⣿⡿⠾⢿⣿⢷⡶⢶⡾⣿⣿⣷⣿⣾⣦⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣷⠈⣿⣿⣿⣿⠀⣿⣿⠃⠰⣾⣿⠀⠃⠸⠀⣿⡇⢰⠄⣿⡟⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⢀⣿⣿⣿⣿⠀⠻⣿⠀⠰⢿⣿⡇⢰⠀⢰⣿⠇⢸⠀⣿⡇⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⢸⣿⣿⣿⠛⠻⡿⠿⠿⠿⠿⠿⠿⠿⠷⠾⠿⣶⣶⣶⣿⡇⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢀⣸⣿⣾⣿⣿⣿⡄⠀⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡇⢰⠇⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣰⠋⠀⠀⠀⠈⠹⣿⣷⡀⢸⣄⡀⠀⢠⣤⠄⢀⣤⣾⣿⠀⣜⣀⣀⠀⠀ ⠀⠀⠀⠀⠀⠀⡸⠁⠀⣀⡀⠀⠀⡀⠈⢿⣧⠀⣯⠙⠶⢦⣴⣾⣿⠿⢛⡇⢰⠃⠀⠀⠱⡀ ⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⣿⠀⠘⣿⣆⣿⢿⣦⣼⡂⠀⣠⠞⢹⣧⡏⠀⠀⠀⠀⢃ ⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⢿⡇⠀⢹⣿⣿⠑⠻⣏⠉⠟⠁⠀⣼⣿⣡⣿⠀⠀⠀⡟ ⠀⠀⠀⠀⢀⡼⡃⠀⠀⠀⠀⠀⠀⢸⣿⡤⠄⣿⣿⠀⠀⠀⠀⢀⠀⠀⡟⢻⢿⡇⠀⠀⠀⡇ ⠀⠀⠀⢀⣾⢿⣷⠀⠀⠀⠀⠀⠀⢸⣿⠀⠀⣿⣿⠀⠀⠀⠀⠸⡄⠀⢷⣾⠀⠙⢢⡀⠀⠃ ⠀⠀⢠⣾⠏⣾⣿⠀⠀⠀⠀⠀⠀⢹⣿⠀⢀⣿⣿⠀⠀⠀⠀⠀⠈⢆⠘⣿⡆⠀⠀⠙⢴⠀ ⠀⢀⡎⠊⣸⣿⣿⡇⠀⠀⠀⠀⠀⢸⣿⠀⣾⣿⠏⠀⠀⠀⠀⠀⠀⠈⢆⢸⡇⠀⠀⠀⠘⡇ ⢀⠼⠇⠀⠿⠿⠿⠿⠀⠀⠀⠀⠀⠻⠿⠀⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠼⠎⠁⠀⠀⠀⠠⢷

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣻⠀⠀⠀⢻⣧⢸⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣳⣿⠃⠀⡸⠀⢀⡇⡏⠂⣸⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⣇⠀⠀⠈⢯⢧⣿⣿⣷⣄⠀⠀⠀⠀⠀⢤⣶⠺⠟⠋⠉⠉⠛⠳⣦⡄⠀⠀⠀⠀⠀⣸⣿⡿⡿⠀⠀⠃⠀⢸⢸⡀⠀⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣆⠀⠀⠀⠉⢿⣿⡿⢿⣶⣄⡀⠀⠀⠀⠙⢦⡀⠀⠀⠀⢀⡴⠋⠀⠀⠀⠀⣠⣾⣿⡟⢱⠁⠀⠀⠀⢀⡏⣾⡇⢰⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠲⢄⠈⠳⠀⠀⠀⠀⠣⠁⠀⠘⠻⢛⣦⣀⠀⠀⠀⠉⠒⠦⠖⠋⠀⠀⠀⢀⣤⣾⣿⠟⠋⠀⡞⠀⠀⠀⠀⣼⢳⢿⣷⣼⡇⠀⢰⡀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠑⠦⣄⠀⠀⠀⠀⠀⠀⠙⠳⣴⣿⣿⣷⣦⡀⠀⠀⠀⠀⠀⠀⣠⣴⣿⡿⠟⠁⠀⠀⢰⢣⠀⠀⠀⣴⣯⡟⠀⣿⡇⣷⠀⢯⣣⠀⠀⠀⠀⣀⢀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠓⢦⡀⠀⠀⠀⠀⠀⠀⠙⠻⣿⣿⣿⣷⣤⣤⣤⣴⣿⠿⠛⠁⠀⠀⠀⠀⢀⣾⠃⠀⢀⡞⢱⡿⠀⠀⣿⡏⣿⢧⠈⣯⡀⠀⠀⠀⣿⣯ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠑⠢⣄⠀⠀⠀⠀⠀⠀⠀⠉⠙⠛⠛⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⡼⠁⠀⣠⠎⢀⡾⠁⠀⠜⣿⡇⣿⠈⣧⠸⣧⣄⣤⡶⢾⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠢⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡼⠁⢀⡴⠁⠀⡾⠃⠀⠀⠀⣿⡇⣿⡄⢿⣇⣿⣟⢷⣆⢨⣅ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⢲⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡞⢁⡴⠋⠀⢀⡜⠁⠀⠀⠀⠀⢹⡇⣿⡇⠈⢿⣿⣿⡀⠙⢷⣮ ⠀⠀⠀⢲⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⠖⠋⠀⠀⠀⠛⠀⠀⠀⠀⠀⠀⢸⡇⣿⡇⠀⠸⣿⣿⣧⠀⠐⡮ ⠀⠀⠀⠀⠈⢿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡼⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⠀⣿⠇⠀⠀⠋⣿⡏⢷⠀⠁ ⠀⠀⠀⠀⠀⢈⣿⣿⡦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⠖⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⢰⣻⠁⠀⠀⠀⠙⣷⣸⣷⠀ ⣄⣀⠀⣀⣴⣾⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡐⠚⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⡇⠸⣿⠀⠀⠀⠀⠀⢘⣿⣟⠶ ⡉⠻⠟⠁⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡸⠀⡇⡏⠀⠀⠀⠀⠀⠸⡏⣿⠀ ⣯⠞⠀⢘⣿⣿⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠇⣼⢀⠏⠀⠀⠀⠀⠀⠀⣷⣸⢸ ⣿⠀⠀⣸⣿⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡎⢰⠃⠳⠀⠀⠀⠀⠀⠀⠀⠈⡗⠀ ⢻⣧⣴⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡞⢀⣟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀ ⠈⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡼⢀⣾⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀ ⢧⠸⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡼⠁⣾⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⡰ ⠘⣧⠹⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡼⢀⡾⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿ ⠆⢻⣦⢻⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡞⢀⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣻ ⡆⢸⣿⣾⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠏⣠⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠹ ⣧⠘⠙⣿⠘⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡴⢃⡼⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⡿⠀ ⣿⣄⠀⠸⣷⢻⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠞⣠⠞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠃⣰ ⣼⣿⡄⠀⠘⡆⢧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣧⠀⠀⠀⠀⠀⠀⢀⡼⣣⡾⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠏⣰⣿ ⣿⣿⣦⠀⠀⢹⡈⢧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣦⠀⠀⠀⢀⡴⢋⡴⠛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣾⠯⣴⠟⣥ ⣦⢻⡿⣾⢦⡀⢧⠈⢷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⣿⣿⣿⡶⠞⢋⣴⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢈⣴⠿⠅⡼⠃⣰⠋ ⠹⣿⣇⡘⠻⣿⣎⣧⡀⢿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⣿⣿⠿⠋⢀⡴⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⠟⠋⣀⡾⠁⣰⠃⠂ ⠤⠬⠿⠿⠦⠬⠿⢿⣷⡀⠻⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣤⣶⣿⣿⠿⢋⢁⡤⢾⠯⠄⠒⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡦⠶⠿⠿⠤⠴⠯⠤⠴⠧⠤⢤ ⣀⣀⣀⣀⣀⣀⣀⣀⣙⣻⣦⣈⡻⣿⣗⠀⣠⣤⣀⡤⠤⠶⠖⢋⣫⣥⠼⠛⢉⣤⠴⠚⠋⠉⠀⢀⣀⠀⠀⠀⡀⠀⠀⠀⢀⣀⣀⣀⡤⢴⣚⣋⣉⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀ ⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠁⠈⠙⡻⠿⣟⡳⠾⠶⠶⠚⠛⠛⢉⣉⣤⡶⠾⠯⠤⠤⠖⠒⠚⠛⠛⠒⠒⠒⠒⠓⠒⣒⣻⣭⣭⣭⣤⣄⣈⡉⠉⠉⠉⠉⠉⡉⠉⠉⠉⠉⠉⠉⠉⠉

⢠⠀⡇⢸⠀⠀⠀⢀⣼⣿⣷⡟⢁⡴⡏⣿⡀⠹⣷⣤⡀⢢⠸⣿⣿⣿⣿⣿⣿⣿⡍⢻⣿⣿⣿⣿⣿⣯⣛⢶⣾⣴⣅⠀⡠⠀⠀⠀⠀⠀ ⡜⢸⠀⡇⠀⠀⣠⣿⣿⣿⠏⢠⡿⠀⣿⡿⣿⣾⣿⣿⣿⡌⡆⣿⣿⣿⣿⣿⣿⣿⣇⢸⠛⠛⠿⢿⣿⣿⢿⣿⣿⣿⣭⣿⣇⡀⠀⠀⠀⠀ ⠃⡇⢸⢁⡤⠊⣽⣿⣿⠃⢠⣿⡇⠀⣿⣷⣼⣿⣿⣿⣿⣿⣷⢸⣿⣿⣿⣿⣿⣿⢹⠸⣷⣶⡦⣴⣿⣷⣿⣫⣾⣿⣿⣿⣿⣷⣄⡀⠀⠀ ⣰⣤⣾⡟⠁⣼⣿⣿⠏⢀⣿⡿⠁⠀⣿⣿⠛⠟⠛⠃⢻⢿⣿⡈⣿⣿⣿⣿⣿⣿⡌⣷⡼⠋⠐⠋⠀⠀⢸⣿⣿⢯⣿⣿⣿⣧⡈⠻⡦⣄ ⠿⢫⡟⠀⢰⣿⡟⡟⠀⣼⣿⡇⠀⠀⢃⢻⡀⠀⠀⠀⠀⠶⠹⣇⢹⣿⣿⣿⣿⡿⣇⢻⠀⠀⠀⠀⠀⠀⢸⣿⢫⣿⢿⣿⣯⢻⣷⣄⠙⣄ ⣴⠏⢀⡷⣾⡿⢰⠃⢀⣿⣿⠀⠀⠀⣸⣦⠀⠀⠀⠀⠀⠀⠀⠘⡆⢿⣿⣿⣿⡧⢿⣜⠀⠀⠀⠀⠀⠀⢀⡵⠃⠘⢆⠿⢻⣆⠹⣿⣧⠈ ⡏⠀⣾⠀⣿⡇⠸⠀⣸⣿⡿⠀⠀⠀⣇⠈⡟⠀⠀⠀⠀⠀⠀⠀⠹⡜⣿⡿⣿⣷⢸⣇⣧⠀⠀⠀⠀⠀⠈⠀⠀⠀⠈⢷⠀⢻⣆⠹⡌⣧ ⠇⣸⡏⢠⣿⢻⢁⢀⣿⣿⡇⠀⡟⠀⣿⠀⠱⡀⠀⡠⠀⠀⠀⠀⠀⠱⡽⣿⣿⣿⡈⣿⡜⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢣⠀⢻⡀⢻⡟ ⡀⣿⡇⢸⡟⣾⠏⠀⣿⣿⠁⢰⠁⠀⣿⠀⠀⠀⠊⠁⠀⠀⠀⠀⠀⢀⣷⣹⣿⣿⣇⢻⣧⢳⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢧⠀⢱⡀⢿ ⢹⣿⡇⢸⡇⣿⡆⠀⣿⣿⠀⡸⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⣀⡤⠚⠉⠀⢳⡹⠎⢿⡜⣿⡾⡅⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⡆⠀⢳⡼ ⣿⣿⣇⠸⡄⣿⠃⡀⣿⣿⠀⡇⠀⠀⠑⡀⠀⠀⠀⠀⠐⠉⠀⠀⠀⡀⢀⡼⠳⡀⠈⣷⢻⣆⢹⠦⢄⣀⣀⣀⣠⣤⣤⣴⣄⠀⢻⡀⠈⠙ ⣿⣿⣿⠀⡇⣿⠀⠁⣿⣿⢸⠁⠀⠀⠀⢧⢀⣀⡀⠤⠤⠤⠤⣀⠉⠀⠉⠀⠀⠹⣄⠈⢧⢿⡜⡄⠈⣡⣴⣾⣿⣿⣿⣿⣦⣤⣾⣷⡀⠀ ⣿⣿⣿⡆⠂⣿⠀⠀⢸⣿⡏⠀⠀⠀⣾⣿⣿⣶⣶⣶⣶⣶⣦⣄⠍⠒⠀⠀⠀⠀⠘⢦⣦⠀⢧⣳⣾⣿⣿⣿⣿⣿⣇⠈⠻⣿⣿⣿⣷⡖ ⢹⣿⣿⣇⠀⣹⡇⠀⠈⣿⡏⣑⣶⣯⣽⠟⢿⣿⣿⣿⣿⣿⣿⣿⢿⣶⠀⠀⠀⠀⠀⠀⠹⣷⡌⢿⣿⣿⣷⣄⣿⣿⡇⠀⠀⣿⠿⣿⣿⢳ ⡇⣿⣿⣯⢀⣿⢿⠲⠶⣿⣿⣿⡟⠃⢸⠀⠘⢿⣿⣧⣀⣿⣿⣽⠀⠈⠀⠀⠀⠀⠀⠀⠀⠈⠻⣄⢙⣯⣄⣀⡩⠟⠀⢀⠀⠋⠀⣿⣿⢸ ⡇⢻⣿⣿⣿⣿⣼⣆⠀⠘⡟⢿⣧⡀⠘⠀⠀⣿⢿⣉⣉⣉⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⢼⣆⠹⢶⡂⠶⣶⡾⣉⡇⠀⠀⣿⣿⡗ ⣧⠈⣿⣿⣿⣿⣿⣿⡄⠀⢳⠀⠈⠇⡇⠀⢀⣸⡀⣤⡽⠓⠂⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⡷⢄⣿⣤⠒⢭⣤⡈⠀⠀⣿⣿⣷ ⣿⣧⠘⣿⣿⣿⣿⣿⡳⡀⠘⣆⠀⠀⡇⠸⣀⣸⣗⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠙⠛⢷⣄⠉⠀⠀⠀⢸⣿⣿ ⣿⣿⣧⠘⣿⣿⣿⣿⣷⡁⠀⢹⣆⠀⠇⠀⠀⢀⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠓⠄⠀⠀⠈⣿⣿ ⣿⣿⣿⣧⠹⣿⡿⣿⣿⣷⡄⠘⡟⣾⡇⠀⠀⠬⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡠⠤⠔⠂⢄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿ ⠸⣿⣿⣿⣇⠹⣿⣌⠻⣿⣿⣄⢹⣞⣇⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣮⡵⠒⠒⠒⠒⣆⣳⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿ ⠀⣿⣿⣿⣿⡄⢿⣿⣷⣌⠻⢿⣦⣻⣾⢦⠀⢠⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣧⡏⠀⠀⠀⠀⠀⠈⢿⣿⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠿ ⠀⣿⣿⣿⣿⣿⠸⣿⣿⣿⣷⣄⡙⢿⣿⣿⣷⡞⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⣅⣀⢁⠀⠀⣀⡀⠀⢐⣸⣿⡆⠀⠀⠀⠀⠀⠀⠀⠂⠀⠈ ⢰⣿⣿⣿⣿⣿⡇⢻⣿⣿⣿⣿⡹⣦⡙⢿⣿⣷⡄⠀⠀⠀⠀⠀⠀⢀⠎⠀⠀⢠⠿⠒⠋⠉⢧⠀⢘⡬⢿⠃⠀⠀⠀⠀⠀⢀⠂⠀⠀⢠ ⢸⣿⣿⣿⣿⣿⣿⡘⣿⣿⣿⣿⡇⢿⣿⣦⡹⣿⡿⣦⡀⠀⠀⠀⠀⠀⣆⠀⠀⠀⠀⠀⠀⠀⣸⣀⡸⢎⠏⠀⠀⠀⠀⢀⡴⠃⠀⠀⠀⠀ ⢸⣿⣿⣿⡿⢻⠋⣇⣿⣿⣿⣿⣷⢸⣿⡉⠳⢾⣿⡉⢳⣄⠀⠀⠀⠀⠈⢦⠀⠀⠀⠀⣠⣚⣛⣉⠠⠊⠀⠀⠀⢀⡤⠞⠀⠀⠀⠀⠀⠀ ⣸⣿⣿⣿⢃⡏⣰⣿⢻⢿⣿⣿⣿⢸⣿⣷⠀⠀⠙⢿⠀⠻⣷⣤⣀⡀⠀⠀⠑⠢⠤⠊⠀⠀⠀⠀⠀⠀⠀⣠⠴⠋⠀⠀⢀⡤⠲⢄⠀⠀ ⠟⠋⣠⢏⣾⣷⡿⢹⠸⡌⠉⢻⣿⢸⣿⣿⣷⣄⠀⠈⠳⣦⠹⣿⣷⣌⢉⣲⣶⣤⣤⣄⣀⠀⠀⠀⠀⣀⠔⠁⠀⠀⠀⢀⠋⠀⠀⠀⠣⡀ ⠶⠚⣁⣿⣿⠟⠁⠘⣦⡇⠀⢈⣿⣿⣿⣿⣿⣿⣿⣷⣦⣽⣷⣹⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏⠉⠉⠉⠀⠀⠀⠀⠀⢀⡘⠀⢀⣄⠀⠀⢳

⠀⠀⠀⠀⠀⠀⠀⢀⡠⠖⠂⠀⣠⡖⠉⠀⠊⣡⠖⢉⣽⣿⡇⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠛⢷⡤⠔⠈⡿⠀⢠⢃⢞⣡⣴⣟⡟⡹⠀⠀⠀ ⠀⠀⠀⠀⠀⢠⠀⠀⠸⡆⠀⢘⡆⠀⣼⣾⣿⣛⠝⣱⣿⠃⠀⠀⡸ ⠀⠀⠀⠀⠀⠈⡄⠀⠀⢸⡀⢰⠇⠀⢻⠤⠋⠁⠺⣯⠏⠀⠀⢠⠃ ⠀⠀⠀⠀⠀⠀⢠⠀⠀⠈⢣⣾⣶⠀⢸⡄⠠⡤⢡⡍⠀⠀⠀⡌⠀ ⠀⠀⠀⠀⠀⠀⠀⠡⡀⠀⠀⠈⡇⢸⣼⠗⣦⣴⠾⠀⠀⠀⣼⠅⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢱⣀⣤⣜⣴⡋⠉⠋⠉⢀⠆⠀⠀⠈⡌⢠⠀ ⠀⠀⢀⠠⠐⠀⠉⠁⠄⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⢠⣾⡇⢸⠀ ⡰⠛⠁⠀⠀⠀⠐⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⢀⣾⡟⡟⡇⢸⠃ ⠃⠀⠀⠀⠀⡞⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡠⢃⣼⣿⠃⡇⡇⢸⠀ ⢧⠀⠀⠀⠀⠳⡀⠀⠀⠀⠀⠀⠀⠀⢀⣜⣥⣿⣿⣿⠀⣇⡏⢸⠀ ⠈⠣⣀⠀⠀⣀⡵⠢⢄⣀⣀⢤⠔⠒⢹⣿⣿⣿⣿⣿⠰⡟⠀⠀⠀ ⠀⠀⠀⠈⠟⢹⡁⠀⠀⠉⠒⠺⠧⠀⡘⢿⣯⣿⣿⡟⢡⡄⡄⠀⠀ ⠀⠀⠀⠀⠈⠘⡅⠀⠀⠀⠀⠀⠀⠀⠈⠙⢿⣿⣼⢁⣦⠀⡅⠀⠀ ⠀⠀⠀⠀⠀⠀⢠⠀⠐⢄⠀⠀⠀⠀⠐⣤⣼⣿⣯⣄⡏⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢸⠃⠀⠈⠀⠀⠀⠐⢶⣿⣟⣿⣏⣻⢷⡄⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢼⠀⠀⠀⠀⠀⠀⠀⠀⣽⣾⣿⣿⣋⣈⣱⡀⠀⠀ ⠀⠀⠀⠀⠀⠀⠘⠀⠀⠀⠀⠀⠀⠀⢺⣿⡿⣿⣿⣿⡾⡿⢷⠀⠀ ⠀⠀⠀⠀⠀⠀⢀⠃⠀⠀⠀⠀⠀⠀⢺⡿⣟⡾⣋⡴⠂⣻⣾⡇⠀ ⠀⠀⠀⠀⠀⠂⠉⠀⠀⠀⠀⠀⡀⢠⣦⣏⣉⠉⢉⠉⣳⢿⠿⡇⠀

⠀⠀⠀⠀⠀⠀⢰⣿⠋⣟⣡⣴⣵⣿⢹⡿⠘⣿⣟⣍⢣⠳⡲⡀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⣿⣿⣾⡹⣿⣿⣏⣿⣿⠇⠀⣿⢿⡟⡟⡗⣷⡇⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣸⣿⣿⡇⡟⣿⢿⣥⡏⢗⠰⠀⠙⣻⣧⣇⣷⣿⣿⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢠⣿⣿⢸⡇⠁⠑⠾⠿⠃⠀⠀⠀⣾⣿⢻⢟⣿⠟⣿⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣾⣿⣿⣾⣇⡄⡄⠀⠀⠀⠀⡄⠀⠈⠉⢁⣠⣿⠀⢹⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣼⣿⣿⣿⣿⣿⣷⣴⡀⠀⠀⣤⡥⠀⠀⢀⣼⣿⣿⡄⡏⡀⠀⠀⠀⠀⠀ ⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⡇⠙⢆⠀⠈⠀⣠⣴⣿⣿⣿⣿⡇⢃⡇⠀⠀⠀⠀⠀ ⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⠁⠠⡀⠉⠒⠁⢸⣿⣿⣿⣿⣿⣧⠸⢠⠀⠀⠀⠀⠀ ⢠⡿⠟⠛⠛⠛⢻⡿⠛⠁⠀⠀⠥⡀⠀⢰⠀⣙⣻⡿⡿⠿⠿⠤⠿⣆⠀⠀⠀⠀ ⡟⠀⠀⠀⠀⠀⣼⠁⠀⠀⠀⠀⠀⠈⠉⠁⠁⠀⠀⠀⣇⠀⠀⠀⠀⠈⢷⠀⠀⠀ ⠃⠀⠀⠀⠀⣤⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣦⡀⢢⠄⠀⠈⡇⠀⠀ ⠀⠀⠀⠀⢰⡟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠑⠻⢿⣄⠀⣇⠀⠀ ⡇⠀⠀⠀⡺⠁⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠦⣯⡆⠀ ⡇⠀⠁⢸⠁⠀⢁⣴⡒⢄⠀⠀⠀⠀⠀⢠⠅⠂⠄⢀⠀⠀⠀⢀⢰⣂⣶⠹⡜⡀ ⣿⠀⠀⣼⠀⠀⠘⠬⡧⠊⠀⠀⠀⠀⠀⢸⢌⡀⠀⠀⠀⠉⠁⠀⠈⠳⠾⠄⣿⡅ ⣿⡆⠀⡟⡀⠀⠀⠀⠀⠈⠒⠄⠀⠠⠒⠇⠈⠥⠀⠀⠀⠀⠀⠀⠀⠀⠀⢇⠿⢷ ⣿⣧⢰⠃⠡⣀⠀⠀⠀⠀⠀⠀⠀⢀⠎⢠⠐⢈⠢⡀⠀⠀⠀⠀⠀⠀⢀⣼⡀⠈ ⡿⠋⠸⡀⠀⠀⠵⠤⠤⠤⠤⢀⢊⠀⡠⢂⡀⠠⣅⠘⠒⠲⠦⣴⠚⣻⣿⣿⡇⠀

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

⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠔⠊⠉⠉⠀⠀⠉⠉⠑⠲⢶⣫⣵⣲⣿⡛⠉⠁⠀⠀⠀⠀⠀⠀⠀⣀⠀⠀⢸ ⣇⡤⠔⠒⠤⢄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡴⠊⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠓⢤⣀⣠⠤⠒⠚⠉⠀⢀⣀⢼ ⡏⠀⠀⠀⠀⠀⠈⢳⣄⠀⠀⠀⠀⠀⠀⠀⢠⠎⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣰⣷⡀⠀⠀⠀⠀⠀⠙⢦⣀⠤⠴⠒⠉⢁⣀⣸ ⡿⢗⣲⣦⣤⡀⠀⠈⠻⣧⡀⠀⠀⠀⠀⣤⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠏⠀⠃⠀⡄⠀⠀⠀⠀⠀⠀⢣⡤⠤⠒⠋⣩⣤⣾ ⣇⢴⣿⢹⠻⣿⣿⣦⡀⠈⢷⣄⣦⣶⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡞⠀⡇⡀⡆⢳⠀⠀⠀⠀⠀⠀⠀⢣⠀⠀⠀⣾⠁⢸ ⣇⡆⣇⡸⠖⠋⠉⠉⠉⠉⠘⠛⠯⢭⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡜⠀⡸⢡⡧⡇⠘⠄⠀⠀⠀⠀⠀⠀⠈⡇⠀⠀⢿⠀⢸ ⣿⢠⠋⠀⠀⢠⠀⠀⠀⠀⠀⠀⠀⡞⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠎⢀⡴⢡⣾⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡀⠀⣼⠀⢸ ⡿⡆⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⡜⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡴⠊⢁⠴⠋⠀⣾⡟⠀⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⡇⠀⢿⠀⢸ ⡇⢀⠀⠀⠀⠀⡇⠀⠀⠀⠀⡰⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡠⠋⢀⡜⠁⠀⠀⠘⠛⠁⢰⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢡⠀⣾⣤⣼ ⣗⣾⠀⠀⠀⠀⡅⠀⠀⠀⢠⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡴⠁⢀⡞⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⡄⠀⠀⢸ ⡇⠸⠀⠀⠀⢸⡇⢀⠀⠀⡎⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡜⠁⠀⣜⣀⣀⢀⡴⢒⡤⠖⠊⢃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⢸ ⡇⡀⠀⢸⡄⢸⢷⣌⠀⠼⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡞⠀⠀⡼⠁⠀⠰⢋⡴⢯⠀⠀⠀⠸⡀⠀⠰⡀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠀⠀⢸ ⡇⡇⠀⠀⠀⠸⢸⠀⢉⡇⠀⠀⠀⠀⠀⠀⠀⠀⢀⡞⠀⢠⣾⣁⡤⠒⠊⠁⢀⡀⠑⠦⡀⠀⢣⠀⠀⢣⠀⠀⠀⠀⠀⠀⠀⠀⠸⠀⠀⢸ ⡇⠇⠀⠀⠀⠀⢸⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⡜⠀⢀⡼⡏⠀⠈⠲⣄⠀⠀⠙⢆⠀⠈⠑⢬⡦⠀⠈⠂⠀⠀⠀⠀⠀⠀⠀⠀⡄⠀⢸ ⡇⠘⠀⠀⠀⠐⡞⠀⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⢾⣼⢷⣤⣤⣤⣬⣷⣤⡄⠀⠃⠀⠀⠀⠘⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⢸

⠀⠀⠀⠀⠀⠀⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⠈⠉⠙⢿⣛⠭⢗⣒⠲⠋⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠔⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠲⢤⡀⠈⠑⢄⡀⠉⠲⢄⠈⠻⡲⢄⣀⡞⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⠖⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣦⡀⠀⠙⢦⡀⠀⠑⢄⠈⠓⢍⠲⢄⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢀⣴⠟⠁⠀⠀⢀⠇⠀⠀⠀⠀⠀⠀⠀⠀⣧⠀⠀⠀⠀⠀⠙⢿⣷⡄⠀⠀⠁⠀⠀⠀⠱⡄⠀⣁⠀⠑⢄⠀⠀⠀⠀⠀ ⡶⠋⠀⠀⣀⠔⡿⢡⠆⠀⢀⠆⢸⠀⠀⠀⠀⠀⠀⠀⠀⢠⠀⢣⡀⠀⠀⠀⠈⢦⠹⣿⡄⠀⠀⠀⠀⠀⠀⠘⣄⠈⠑⢴⠀⠳⡄⠀⠀⠀ ⠀⠰⠶⠈⣠⠞⡰⠁⠀⠀⡎⠀⢸⡄⠀⠀⢤⡀⢀⡀⠀⠸⠀⠀⠑⢄⠀⠀⠀⣀⣑⡘⢿⡄⠀⠀⠀⠀⠀⠀⠘⣦⣀⠈⠃⠀⡿⢆⠀⠀ ⠀⠀⠀⢀⠎⡜⠁⠀⠀⢸⠁⠀⡏⢧⠀⠀⠀⠙⢿⡷⢦⡶⠤⠤⠒⠚⠻⣿⠯⣁⠀⠉⠻⣷⠂⠀⠀⠀⠀⠀⠀⢻⣿⠗⠦⡀⠑⢌⢧⠀ ⠀⠀⠀⠎⡼⠀⠀⡰⠀⡌⠀⢰⢃⡿⡄⠀⠀⠀⠀⡇⢠⠗⠀⢤⠤⠤⢤⠼⢧⡤⠷⠦⣄⠙⣇⠀⠀⠀⠀⠀⠀⠈⣿⡀⠀⠙⠀⠀⠈⢣ ⠀⠀⠀⠀⠁⠀⢠⠇⠀⡇⠀⢸⣸⠠⢼⡄⢠⡀⠀⢱⡘⠀⠀⢀⣤⣶⣿⠶⡿⣻⠟⠛⠿⣿⣿⡀⠀⠀⠀⠀⠀⠀⢹⣧⡀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⡸⠀⣰⢷⣰⣾⠃⠀⠀⠙⣜⡗⢄⠀⢧⠀⠀⠘⣻⠛⠒⠒⠚⣁⢠⣠⣴⢿⣋⡇⠀⡄⠀⡀⠀⠀⠈⣿⡏⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢠⠁⠀⣿⡴⢿⣾⣠⠞⠂⠀⠈⢻⡀⠙⠺⢦⡀⡀⠀⣠⣤⣶⠭⢚⣹⢿⡧⠴⠛⡇⠀⠁⠀⠀⠀⠀⠀⢿⣧⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢸⡄⠀⡟⠀⢈⢿⣧⣤⣶⣦⡀⢸⡃⣠⡾⡞⠉⠁⣹⣻⣽⠟⠉⠁⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⢸⡿⠃⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢸⡇⢸⠃⣴⣿⣿⡯⠵⠋⢀⣠⡾⠋⠩⠊⠀⠐⠉⠈⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⠀⡇⠀⠀⠀⠀⠀⢸⣶⠚⠃⠀⠀⢀ ⠀⠀⠀⠀⠀⢸⣿⣘⡄⢿⡇⢀⣤⣴⣞⣹⡿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⢸⡇⠀⠀⠀⠀⠀⠀⠉⠀⠀⠀⠘⡄ ⠀⠀⠀⢀⢧⠈⣿⡷⣇⡛⠿⢟⡩⠞⠉⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⢀⠿⣷⠀⠀⠀⠀⠀⠀⠸⠦⠀⠀⠀⠁ ⠀⠀⠀⠘⢈⣆⢹⢷⠸⣥⡴⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⡜⠀⢿⠀⠀⠀⠀⠀⠀⢸⡆⠀⠀⡔⠀ ⠀⠀⠀⠘⠈⢾⣼⡌⢇⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⡤⠴⠚⣉⣉⣹⣷⣦⣄⠀⠀⠀⠀⠀⢠⡿⠁⠀⣾⠀⠀⠀⠀⠀⠀⣼⡧⠃⣼⠀⠀ ⠀⠀⠀⠀⡀⠘⡟⢷⠸⡄⠀⠀⠀⠀⠀⠀⠀⣾⣤⢶⣾⣿⣿⣿⣿⣿⣿⣿⡷⣄⠀⠀⠀⠚⠀⠀⠀⣿⠀⠀⠀⠀⡇⠀⣏⣠⣾⣿⡶⠀ ⠀⠀⠀⠀⡇⠀⢱⠀⠀⢷⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⠿⣿⠋⠀⠞⢣⠀⠀⠀⠀⣀⣼⡇⠀⡀⠀⢸⠀⢰⣿⣿⣿⡟⠁⠀ ⠀⠀⠀⠀⢳⠀⠸⡄⠀⢘⣇⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⡟⠁⠀⢰⡏⠀⠀⢇⢈⣆⠀⠀⠀⠀⢸⡇⢰⠀⠀⡎⠀⣸⣿⣿⡏⠀⠀⠀ ⠀⠀⠀⠀⢸⠀⠀⢇⠀⠀⡟⣆⠀⠀⠀⠀⠀⠀⢿⣿⣿⣿⡀⠀⠀⠀⢧⠀⠀⠹⣿⠛⠷⣦⣀⣀⣾⠃⡆⠀⢰⠁⢠⣿⡿⡹⠋⠁⠀⠀ ⠀⠀⠀⠀⠸⡄⠀⠸⡄⡆⢣⠘⣦⡀⠀⠀⠀⠀⠈⢿⣿⣿⣷⣄⠀⠀⣀⠑⠦⡀⢳⠀⠀⠀⣹⣿⡟⢰⠁⠀⡏⢀⣾⠜⠁⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢧⠀⠀⢱⠸⠸⣧⠹⡝⠢⡀⠀⠀⠀⠀⠙⠯⢄⡠⠭⠔⠚⠳⠦⣄⡴⠂⣠⣾⣿⣿⢃⡆⠀⣼⣧⠞⠁⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣀⠀⠘⡤⡀⠀⠱⣇⢣⠣⡙⣄⠈⠑⠴⣀⠀⠀⠀⠀⠀⢠⣤⠖⠀⠀⠀⣠⣾⣿⣿⣿⡏⡘⠀⣰⡟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠈⢦⠀⢱⢱⡀⠀⠻⡌⢧⠘⢎⢦⡀⠀⡈⠉⠲⢤⣀⠀⠀⠀⠀⣀⣠⣾⣿⣿⣿⠟⡽⠐⠀⣴⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⢸⡀⠀⠀⠀⠀⠀⠀⣀⣀⣀⣠⣤⣤⠤⢤⣤⣀⣸⣇⠀⠀⠀⠀⠀⠀⢰⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠈⡇⠀⣀⣤⠶⠛⠋⠁⠀⠀⠀⡀⠀⠀⢀⡀⢨⣿⢻⣟⣷⡦⣄⣀⢠⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢠⣷⣿⣿⣠⣤⡴⠶⠞⠛⠛⠿⠿⠉⠉⢉⣛⣿⣿⣿⣿⣿⣷⣸⡟⢻⣇⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⣼⣿⣿⣿⣿⣶⣾⡿⠿⠗⠒⠒⠛⠷⢾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⣸⣿⣿⣿⡟⠉⠀⢀⣠⣤⡴⠶⣶⣶⣶⣾⣶⣿⣿⣿⣿⣿⣿⣿⡿⢿⣿⣷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠐⣿⣿⡿⠟⣡⣴⣾⠿⠛⠉⠁⠀⠀⠀⠀⠀⠈⠛⠿⣿⣿⣟⢻⣿⣿⣿⠻⠿⢿⣷⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢸⣿⠋⢀⣾⡿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⢻⣿⡆⠙⢿⣿⣷⣴⠂⠉⠛⠿⣷⣦⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢸⣇⣴⡿⢻⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣧⠀⠀⠈⢿⣿⣷⣄⠀⠀⠀⠈⠿⣯⣗⢦⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⣼⣿⠋⠁⠈⢷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⠆⠀⠀⠀⠙⢿⣿⣶⠀⠀⠀⠀⠀⠉⠳⣮⡳⣄⠀⠀⠀⠀⠀⠀⠀ ⢸⣿⢻⡇⠀⠀⠨⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣴⠞⠋⠉⠀⠀⠀⠀⠀⠈⣿⣿⣆⠀⠀⠀⠀⠀⠀⠀⠙⢮⣳⡀⠀⠀⠀⠀⠀ ⠀⢿⣼⣧⣠⠄⠀⠸⣿⣦⣤⣄⣄⣀⣀⣤⣠⣤⠶⠚⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⢿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⢦⡀⠀⠀⠀ ⠀⢸⣿⣿⡇⠀⣠⡴⠿⠋⠉⠉⢉⣍⣉⣭⣽⣷⢶⠶⠶⠦⠼⠶⠶⠷⢶⣦⣄⡀⠁⠀⣿⣿⡆⠀⣠⠀⡀⠀⠀⠀⠀⣀⣠⣬⣷⣄⠀⠀ ⠀⠀⣿⣿⣷⣿⠿⢁⣀⣤⣴⡾⠿⠛⠋⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠙⠻⢶⣿⣿⣿⣴⣿⣾⣧⣶⡦⠟⠛⠋⠉⠉⠙⢻⣷⠀ ⠀⠀⣿⣿⣿⣿⣾⡿⠟⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⡿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠐⣿⠂ ⠀⠘⣿⣿⢟⡽⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣿⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣇ ⢀⣼⣿⣿⡾⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡟⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿ ⠁⢸⡏⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿ ⠀⢸⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡏ ⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⡿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣧ ⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡾⢻⡈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡟ ⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠁ ⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣹⠀ ⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⣸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⡼⠀ ⠀⠘⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⠃⠀ ⠀⠀⡿⣆⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⠓⠦⢤⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⡤⠾⡏⠀⠀ ⠀⠀⣇⠈⠉⠓⠶⠤⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⡤⠞⢋⣾⣻⠁⠀⠀⠀⠀⠉⠉⠙⠛⠛⠛⠛⠉⠁⠀⢀⣶⠃⠀⠀ ⠀⠀⢹⣴⡀⠀⠀⠀⠀⠀⠉⠉⠁⠒⠒⠒⠒⠒⠒⠒⠚⠉⠉⠉⠀⠀⠀⣰⣿⠟⠓⠲⠤⢄⣀⣀⣀⡀⠀⠀⠀⠀⢀⣀⡤⠾⡏⠀⠀⠀ ⠀⠀⢸⣿⡳⢦⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⡶⢛⣿⣟⠛⠓⠶⣤⣄⣀⠀⠀⠉⠉⠉⠉⠉⠉⠀⣀⣼⠃⠀⠀⠀ ⠀⠀⠘⣟⡛⢿⣶⡮⣭⣙⡒⠒⠀⠀⠀⠀⠀⠀⠀⠀⠐⣚⣩⣭⣴⡾⢛⣿⡟⠳⠶⢤⣄⣀⣉⠉⠛⠛⠛⠚⠛⠛⢛⣉⣭⠏⠀⠀⠀⠀

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

⠀⠀⠀⠀⠀⠀⢀⣤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⢤⣤⣀⣀⡀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⡼⠋⠀⣀⠄⡂⠍⣀⣒⣒⠂⠀⠬⠤⠤⠬⠍⠉⠝⠲⣄⡀⠀⠀ ⠀⠀⠀⢀⡾⠁⠀⠊⢔⠕⠈⣀⣀⡀⠈⠆⠀⠀⠀⡍⠁⠀⠁⢂⠀⠈⣷⠀⠀ ⠀⠀⣠⣾⠥⠀⠀⣠⢠⣞⣿⣿⣿⣉⠳⣄⠀⠀⣀⣤⣶⣶⣶⡄⠀⠀⣘⢦⡀ ⢀⡞⡍⣠⠞⢋⡛⠶⠤⣤⠴⠚⠀⠈⠙⠁⠀⠀⢹⡏⠁⠀⣀⣠⠤⢤⡕⠱⣷ ⠘⡇⠇⣯⠤⢾⡙⠲⢤⣀⡀⠤⠀⢲⡖⣂⣀⠀⠀⢙⣶⣄⠈⠉⣸⡄⠠⣠⡿ ⠀⠹⣜⡪⠀⠈⢷⣦⣬⣏⠉⠛⠲⣮⣧⣁⣀⣀⠶⠞⢁⣀⣨⢶⢿⣧⠉⡼⠁ ⠀⠀⠈⢷⡀⠀⠀⠳⣌⡟⠻⠷⣶⣧⣀⣀⣹⣉⣉⣿⣉⣉⣇⣼⣾⣿⠀⡇⠀ ⠀⠀⠀⠈⢳⡄⠀⠀⠘⠳⣄⡀⡼⠈⠉⠛⡿⠿⠿⡿⠿⣿⢿⣿⣿⡇⠀⡇⠀ ⠀⠀⠀⠀⠀⠙⢦⣕⠠⣒⠌⡙⠓⠶⠤⣤⣧⣀⣸⣇⣴⣧⠾⠾⠋⠀⠀⡇⠀ ⠀⠀⠀⠀⠀⠀⠀⠈⠙⠶⣭⣒⠩⠖⢠⣤⠄⠀⠀⠀⠀⠀⠠⠔⠁⡰⠀⣧⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠲⢤⣀⣀⠉⠉⠀⠀⠀⠀⠀⠁⠀⣠⠏⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠛⠒⠲⠶⠤⠴⠒⠚⠁⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣤⠤⣄⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣀⠴⠚⠉⠁⠀⠀⠀⠀⠀⠈⠉⠳⢤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣠⠚⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠑⣆⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢀⡞⡥⠀⠀⠀⠀⣠⠴⢀⣠⠤⢦⡀⠀⠀⠀⠀⠀⠈⣆⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢠⡞⢸⠁⠀⠀⣠⢚⡥⠚⠉⠀⠀⠘⣗⡄⠀⠀⢰⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢾⠇⡎⠀⠀⣰⡳⠋⠀⠀⣠⣤⠶⠢⡿⣸⣆⠀⠈⣧⣄⢸⠁⠀⠀⠀⠀⠀⠀ ⠀⠀⢸⡄⢳⣠⣾⡟⠓⠆⠀⠘⠙⢀⣤⣶⢿⣤⣹⡅⠀⣿⠈⣿⡇⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⡇⠸⡇⣾⡛⣶⡦⠀⠀⠀⠛⢱⢼⣷⠸⠋⢣⠀⡇⣹⠛⡇⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢱⠀⠹⣏⠉⢟⣻⣀⠀⠀⠀⠐⠛⠛⠐⠀⠘⣴⡽⣇⠀⢸⡀⠀⠀⠀⠀⠀ ⠀⠀⠀⠈⢇⠀⠘⡄⠀⠀⢸⡁⠀⠀⠀⠀⠀⠀⠀⠀⣿⢀⢹⡀⠈⣧⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠈⢦⠀⢻⢦⡀⠈⠰⠶⠒⠂⠀⠀⢀⡤⠀⡇⢘⡆⢇⠀⠸⣷⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠳⡼⡀⣟⡶⢄⡀⠀⢀⡠⠖⠁⠀⢀⡇⢸⢻⠸⡀⠀⣿⢇⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢠⠏⢳⠟⢀⠷⠈⣹⡇⠀⠀⠀⠀⣼⢣⡞⢸⠀⡇⢰⣼⢸⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⠎⣠⠋⢀⡼⠟⠊⠟⠀⠀⠀⠀⠀⣿⠀⠑⢯⣀⣇⣎⢏⡞⠀⠀⠀ ⠀⠀⠀⢀⡠⠾⠔⠓⢞⣁⣀⣀⠀⠀⠀⠀⠀⠀⠀⢻⣀⣀⣀⡈⠛⠿⠯⣀⠀⠀⠀ ⠀⠀⢠⠋⠀⠀⠀⠀⠀⠀⠀⠀⠉⠁⠐⠉⠉⠉⠉⠉⣧⡀⠀⠀⠀⠀⠀⠀⠑⡄⠀ ⠀⠀⢻⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠧⠀⠀⠀⠀⠀⠀⠀⢹⡆ ⠀⠀⢸⠀⠀⡼⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⠀⠀⠀⠀⠀⠀⡼⠃ ⠀⠀⠘⡤⠊⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⡀⠀⠀⠀⠀⢠⠇⠀ ⠀⣠⠎⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢣⠀⠀⠀⠀⡎⠀⠀ ⢠⠇⣠⡂⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠘⡄⠀⠀⡸⠀⠀⠀ ⢸⡀⠛⠄⢀⠀⠀⠀⠀⠀⠀⠀⣸⠀⠀⠀⠀⠀⠀⠀⢀⠵⠀⠀⡇⠀⢀⠇⠀⠀⠀ ⠀⢷⡀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠸⡀⠀⠀⠀⠀⠀⠂⠀⠀⠀⣰⠁⠀⣾⠀⠀⠀⠀ ⠀⠀⠑⢤⣀⠀⠀⢀⣠⠴⠋⠀⠀⠙⢦⡀⠀⠀⠀⠀⠀⣀⡴⠁⠀⢠⠃⠀⠀⠀⠀ ⠀⠀⠀⠀⢠⢻⠉⠁⠀⠀⠀⠀⠀⠀⠀⠈⠉⠒⠒⠒⠉⡽⠀⠀⠀⡼⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠸⣾⠀⠐⠀⠀⠀⠀⠀⠑⢤⡀⠀⠀⠀⠀⠀⡇⠀⠀⢠⠇⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣿⡄⠀⠀⢠⡀⠀⠀⠀⠀⠙⣄⠀⠀⠀⢰⠁⠀⠀⣼⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢿⣇⠀⠀⢸⠀⠀⠀⠀⠀⠀⠈⠁⠀⢀⡜⠀⠀⠀⡗⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢸⢸⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⢠⡇⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠸⣿⡆⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠐⡇⠀⠀⢰⠃⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣻⠁⠀⠸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⢣⠀⠀⡞⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢠⠃⠀⠀⠸⢳⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠳⡼⠁⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢠⠏⠀⠀⠀⢸⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠢⡀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢀⡎⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢦⡀⠀⠀⠀⠀

"They can't see it if they don't search it" I searched cutecore, ribbon, kawaii, hello kitty, and more cute stuff and I saw sex. if you guys are gonna make stuff like that, make sure you use the right tags... disgusting

⠀⢀⣤⣶⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣶⣤⠀⠀ ⠀⣿⣿⣿⡇⠀⢀⣴⣷⠀⠀⠀⠀⠀⠀⠀⠀⣾⣦⡀⠀⢸⣿⣿⣷⠀ ⢸⣿⣿⣿⣇⣴⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣦⣸⣿⣿⣿⡇ ⠘⣿⣿⣿⣿⣿⣿⣿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣿⣿⣿⣿⣿⣿⠃ ⢰⣿⣿⣿⣿⡟⠋⠁⠀⠀⣀⣀⣤⣤⣀⣀⠀⠀⠀⠙⢻⣿⣿⣿⣿⡆ ⠀⠻⠿⣿⣿⣷⣦⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⣴⣾⣿⣿⠿⠟⠀ ⠀⣠⣀⣈⣉⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⣉⣁⣀⣄⠀ ⠀⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠀ ⠀⠀⣀⣠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣄⣀⠀⠀ ⠀⣿⣿⣿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⣿⣿⣿⠀ ⠀⠈⠁⠀⠀⣠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣄⠀⠀⠈⠁⠀ ⠀⠀⠀⢠⣾⣿⡿⠋⠀⠙⠻⣿⣿⣿⣿⠟⠋⠀⠙⢿⣿⣷⡄⠀⠀⠀ ⠀⠀⠀⠀⠙⠋⠀⠀⠀⠀⠀⠀⠙⠋⠀⠀⠀⠀⠀⠀⠙⠋⠀⠀⠀⠀

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣭⣉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⣉⣭⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⢿⣿⣿⣿⣿⠁⠛⠋⢹⣿⣿⣿⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠁⠀⠀⠀⠀⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣀⣀⣀⡀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣦⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣄⠀⠀⠀⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⣀⣀⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢀⣤⣶⣿⡿⠿⠛⠛⠛⠛⠿⢿⣿⣶⣤⡀⠀⠀⠀ ⠀⢀⣼⣿⠟⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠻⣿⣧⡀⠀ ⢀⣿⡿⠁⠀⠀⣀⣤⣤⣤⣤⣤⣤⣤⣤⣀⠀⠀⠈⢿⣿⡀ ⢸⣿⡇⠀⣰⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣆⠀⢸⣿⡇ ⢸⣿⡇⣼⣿⣿⣿⣿⣿⣿⡟⢻⣿⣿⣿⣿⣿⣿⣧⢸⣿⡇ ⠀⢻⣿⣿⣿⣿⣿⡿⠟⠋⠀⠀⠙⠻⢿⣿⣿⣿⣿⣿⡟⠀ ⠀⠀⢙⣿⡏⠉⠀⠀⣤⡄⠀⠀⢠⣤⠀⠀⠉⢹⣿⡋⠀⠀ ⠀⢠⣿⣿⣷⡀⠀⠀⠙⠁⠀⠀⠈⠋⠀⠀⢀⣾⣿⣿⡄⠀ ⠀⠘⢿⣿⣿⣿⣦⣤⣶⣿⣿⣿⣿⣶⣤⣴⣿⣿⣿⡿⠃⠀ ⠀⠀⠀⣿⣿⣿⣿⣿⣿⡿⠿⠿⢿⣿⣿⣿⣿⣿⣿⠀⠀⠀ ⠀⠀⠀⢿⣿⣿⣿⣿⣿⣿⣶⣶⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀ ⠀⠀⠀⠘⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠃⠀⠀⠀ ⠀⠀⠀⠀⠀⠙⠿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠋⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡶⠛⠉⠉⢹⡆⠀ ⠀⠀⠀⣀⠀⠀⠀⠀⠀⠀⠀⢰⡏⢀⡴⠀⠀⣾⠁⠀ ⠰⣟⠋⠉⠙⠛⢶⣄⠀⠀⠀⢸⣷⠟⠁⣀⡼⠋⠀⠀ ⠀⢻⡄⠀⠰⢦⣄⣹⡆⠀⠀⣼⠿⠛⠛⠉⠀⠀⠀⠀ ⠀⠀⠻⢦⣄⣀⣈⣻⣿⡀⢰⡏⠀⠀⠀⠀⠀⣀⠀⠀ ⠀⠀⠀⠀⠈⠉⠉⠉⠈⠻⣼⡇⠀⢀⡴⠛⠋⠉⢙⡿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⡇⢀⣾⣥⠾⠃⢀⣼⠃ ⠀⠀⠀⠀⣤⣤⣤⣤⣀⠀⢸⣇⣼⠿⠷⠶⠶⠛⠁⠀ ⠀⠀⠀⠀⢻⡄⠀⣤⣹⣧⢸⡿⠁⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠛⢶⣤⣽⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⡇⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⡼⢧⣄⡀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣀⣀⣤⣾⣋⣁⣀⣀⣈⣙⣷⣤⣀⣀⠀⠀ ⠀⠀⠀⠀⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠀⠀

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⢢⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⢃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠑⢄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠃⠈⢆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠂⠀⠀ ⠀⠀⠀⠐⡀⠀⠀⠀⠀⠀⠀⠀⢀⠆⠀⠀⠈⡄⠀⠀⠀⠀⠀⠀⠀⡐⠁⠀⠀⠀ ⠀⠀⠀⠀⠈⠂⠀⠀⠀⠀⠀⠀⠎⠀⠀⠀⠀⠘⡀⠀⠀⠀⠀⢀⠌⠀⠀⠀⠀⠀ ⡀⠀⠀⠀⠀⠀⠱⡀⠀⢀⢤⠎⠀⠀⠀⠀⠀⠀⣱⠠⠀⠀⠠⠂⠀⠀⠀⠀⠀⢀ ⢳⠀⠀⠀⠀⠀⠀⠐⠄⡌⠀⡕⡀⠀⠀⠀⠀⠀⡜⠀⠃⠠⠁⢀⠄⠀⠀⠀⠀⡄ ⠈⢣⠃⢀⡀⠀⠀⠀⠈⢂⠀⠈⣱⣴⠚⣿⣷⣦⡇⠀⡸⢃⠔⠁⠀⠀⠀⠀⡼⠁ ⠀⠀⠑⢄⣌⣀⠀⠀⠀⠀⠑⣄⣿⢿⠄⠱⠿⣿⡀⡔⠁⠀⠀⠀⠀⠀⣠⠞⠁⠀ ⠀⠀⠀⣀⣬⡿⠟⠛⠛⠓⠤⠸⡟⠆⡀⢀⡼⠛⡻⠀⡀⣈⡥⠴⠾⣯⢀⡀⠀⠀ ⡠⠔⠋⠁⠀⠀⠀⠀⠀⠀⠀⠁⣵⠀⠈⡎⠀⢠⠁⠂⠉⠀⠀⠀⠀⠀⠁⠈⠃⢢ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢨⡤⢶⣿⠶⣼⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠢⠈⠁⠀⠰⣿⠄⠀⠉⠢⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠨⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⢬⣯⡄⠀⢀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠢⡘⠋⠁⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⠀⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣶⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣄⣀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⢀⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀ ⠈⡿⠿⣾⢻⣛⣳⠀⠀⠀⠀⠀⠀⠀⠾⠇⠙⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠠⠒⠁

⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣠⣶⣿⣿⣿⣿⣿⣿⣿⣦⣄⠀⠀⠀⠀⢀⣤⣤⣄⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡄⠀⢠⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀ ⠀⠀⣰⣿⣿⣿⣿⣿⠟⠉⠉⠉⠻⣿⣿⣿⣿⣿⣦⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀ ⠀⢠⣿⣿⣿⣿⡿⠁⠀⠀⠀⠀⠀⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀ ⠀⣾⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠸⣿⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀ ⢀⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀ ⢸⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀ ⠈⣿⣿⣿⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢿⣿⣿⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⢀⡀⠀⠀ ⠀⠘⣿⣿⣿⣿⣷⡀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣄⣀⣠⣾⣿⣿⣷⡀ ⠀⠀⠹⣿⣿⣿⣿⣿⣦⣀⣀⣀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁ ⠀⠀⠀⠙⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠃⠈⢿⣿⣿⣿⣿⣿⣿⣿⠟⠁⠀ ⠀⠀⠀⠀⠀⠙⠿⣿⣿⣿⣿⣿⣿⡿⠟⠋⠀⠀⠀⠀⠉⠛⠛⠟⠛⠋⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

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⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣴⡆⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣤⣤⣶⣶⠿⠿⢛⡛⠉⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣤⣤⣴⣶⣿⢻⣿⣿⣶⣶⣢⣆⠀⠀⠀⣀⣀⣤⣤⣶⣶⣾⣿⡿⠿⣛⣛⣭⣵⣶⠾⢟⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣧⣾⣿⡟⣻⣿⣿⣿⣿⣿⣿⣭⣭⢠⣾⣿⣯⣭⣤⡬⣩⣭⣽⡶⠿⢟⣛⣯⣭⡶⣶⡛⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠋⠉⠁⠿⣿⡿⣿⣿⣿⣿⣿⣯⡄⣿⣿⣿⣿⡟⠃⠈⠱⠶⠾⠛⢋⣭⣿⠶⣟⡛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠞⣡⣾⣿⣿⣿⣿⣟⡓⢠⣾⣿⠿⣛⣛⡛⣟⣛⣛⡛⢶⣶⣶⣶⣶⣶⣥⣤⣤⣤⣤⣄⣀⣀⣀⣀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡞⠁⣴⣿⣿⣿⣿⣿⡿⠯⢁⣿⢟⣴⣿⣿⡿⢳⣿⣿⣿⠏⠰⠶⠶⢾⣽⣭⣭⣭⣙⣛⣛⣛⣛⡛⠿⠿⠿⠿⠋ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⡟⢀⣾⣿⣿⣿⣿⣿⣿⣿⠋⣾⡟⣼⣿⣿⢟⣴⣿⡿⢏⣀⣙⣛⣛⣛⡳⠶⠶⠶⣶⣭⣭⣭⣭⣭⣝⠛⠋⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡿⠀⣼⣿⣿⣿⣿⣿⣿⠟⣂⣼⡟⣱⣿⣿⢏⣼⣿⣿⠁⠬⣭⣙⣛⣛⣛⣛⠛⠿⠿⠿⠶⠶⠶⠶⠆⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⠟⢁⣤⣾⣿⣿⣿⣷⣶⣶⣾⣟⣫⣾⣿⣿⡏⣾⣿⣿⡅⢶⣶⣦⣤⣤⣬⣭⣭⣉⠛⠛⠛⠒⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠟⠛⠱⣿⣛⣋⣤⣴⣶⣶⣦⣭⡉⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣄⡀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠻⠿⠿⣿⡿⠶⠜⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⢻⣿⠿⢿⣶⣶⣦⣤⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣶⣶⣶⣿⣷⣶⣾⣿⣿⣿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⣿⠀⠀⠉⢿⣿⣿⣿⣿⣿⣷⣦⣄⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⣼⠟⠉⠀⢸⣿⠛⠛⠛⠿⠿⢿⣿⠟⣠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⡙⢻⣿⣿⣿⣿⣿⣿⡎⣿⡇⠀⠀⠀⠙⠉⠻⣿⣿⣿⣿⣿⣷⡄⠀⠀ ⠀⠀⠀⣠⣿⠏⠀⠀⠀⠘⣿⣧⡀⠀⠀⠀⠀⠀⠀⠈⠉⠙⠛⠻⠿⠿⠿⠛⠛⠛⠉⠉⠉⠁⠀⠀⠻⣿⣿⣿⣿⣿⣿⣿⣇⠀⠀⠀⠀⠀⠀⠀⠹⣿⣿⣿⣿⡷⠀⠀ ⠀⢀⣾⡿⠁⠀⠀⠀⠀⠀⠈⠻⢿⣶⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣿⣿⣿⣿⣿⣿⣼⣶⠀⠀⠀⠀⠀⠀⠛⠿⠿⠟⠁⠀⠀ ⣰⣿⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠻⠿⣿⣿⣷⣭⣁⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠿⠥⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠻⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣇⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⡿⢿⣶⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠿⣷⠄⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⠿⠆⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠆⠀⠀⠀⠀⠀⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠴⠋⠀⠀⠀⠀⠀⠀⢠⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢠⠐⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢰⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠘⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠇⠀⠀⠀⠀⠀⡼⠇⠀⠀⠀⠘⡆⠀⠀⠐⠀⠀⠀⢀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠈⠓⠢⢼⠀⠀⠀⠀⠀⠀⠀⠀⣾⠀⠀⠀⠀⣠⠎⠀⠀⠀⠀⠀⠀⠸⡄⠀⠀⠀⠀⠀⠈⣇⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⢠⠇⠀⠀⠀⡰⠃⠀⠀⠀⠀⠀⠀⢀⡼⡇⠀⠀⠀⠀⠀⠀⢸⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⣸⠀⠀⠀⡼⠁⠀⠀⠀⠀⠀⠀⢠⠞⠀⢹⡄⠀⠀⠀⠀⠀⠘⡇⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⠀⠀⠀⠀⠀⠀⠀⢀⡇⠀⠀⣰⠁⠀⠀⠀⠀⠀⠀⣰⠋⠀⠀⠘⣧⠀⠀⠀⠀⠀⠀⢹⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣼⠋⠀⠀⠀⠀⠀⠀⠀⡟⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⡴⠃⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⢸⡇ ⠀⠀⠀⠀⠀⠀⠀⢰⠋⠀⠀⠀⠀⠀⠀⢀⡾⠀⠀⠀⠀⠛⠀⠀⠀⠀⠀⢸⡁⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⢸⡇ ⠀⠀⠀⠀⠀⠀⢠⡏⠀⠀⠀⠀⠀⠀⢀⡞⠁⠀⡿⣯⡷⡴⢦⣤⡠⣶⡶⠀⢷⠀⠀⠀⠀⢰⡇⠀⠀⠀⠀⠀⠀⡾⠀ ⠀⠀⠀⠀⠀⠀⡞⠀⠀⠀⠀⠀⠀⠀⣼⣥⣤⣤⣤⣤⣤⣤⣤⣀⣀⣀⣀⠀⠈⢧⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⢀⡇⠀ ⠀⠀⠀⠀⠀⢸⠁⠀⠀⠀⠀⠀⠀⡼⠁⠀⠀⠀⠀⠉⠙⠻⢿⣿⣿⣿⣿⣿⣿⠛⢦⠀⠀⢸⡇⠀⠀⠀⠀⠀⢸⡇⠀ ⠀⠀⠀⠀⢠⡏⠀⠀⠀⠀⠀⠀⡼⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣿⣿⣿⣿⠳⠀⢳⡀⢹⡇⠀⠀⠀⠀⠀⡾⡇⠀ ⠀⠀⠀⠀⡞⠀⠀⠀⠀⠀⠀⡼⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⡿⠘⠀⠀⠹⣼⡇⠀⠀⠀⠀⢠⠇⠀⠀ ⠀⠀⠀⣰⠃⠀⠀⠀⠀⠀⡾⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⡿⠁⠀⠀⠀⠀⠘⣇⠀⠀⠀⠀⡾⠀⠀⠀ ⠀⠀⢠⡏⠀⠀⠀⠀⠀⡼⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⠁⠀⠀⠀⠀⠀⠀⠸⡄⠀⠀⢸⠁⠀⠀⠀ ⠀⠀⡾⠀⠀⠀⠀⠀⡾⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠀⠀⠀⠀⠀⠀⠀⠀⢻⠀⠀⡟⠀⠀⠀⠀ ⠀⣴⠓⣾⣳⣀⢀⡼⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⡇⠃⠀⠀⠀⠀⠀⠀⢸⡇⢀⠇⠀⠀⠀⠀ ⣾⠃⠀⠀⠀⠑⡟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⠃⠀⠀⠀⠀⠀⠀⠀⠈⡇⢸⠀⠀⠀⠀⠀ ⠹⡀⠀⠀⠀⠀⠹⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⣾⠀⠀⠀⠀⠀ ⠀⢳⡄⠀⠀⠀⠀⠘⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡼⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡇⣿⠀⠀⠀⠀⠀ ⠀⠀⣷⡄⠀⠀⠀⠀⠙⢦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠃⡏⠀⠀⠀⠀⠀ ⠀⢀⡇⢹⣄⠀⠀⠀⠀⣀⠉⠓⠶⢄⡀⠀⠀⠀⠀⠀⢀⣠⠴⠋⠣⣄⠀⠀⠀⠀⠀⠀⠀⠀⢠⠟⣸⣧⠀⠀⠀⠀⠀ ⠀⣴⣿⠋⠘⣆⠀⢰⠶⠤⢍⣛⣶⠤⠿⣷⣦⡀⠒⠚⡟⠀⠀⠀⠀⠈⠛⠢⠤⡄⠀⠀⢀⡴⢯⠴⣳⠇⠀⠀⠀⠀⠀ ⠀⠀⠉⠀⠀⠘⢦⡈⠻⣖⠤⣤⣉⣉⣹⣯⣭⠉⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣾⠛⣫⣼⠃⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠑⣄⠉⢦⡀⠀⠀⠈⠉⠁⠀⠀⣸⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⢿⣷⢚⡝⠁⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⢶⣷⠇⠀⠀⠀⠀⠀⣠⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣿⠷⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

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daddy~ n-nnghh!!~ mph!~ faster..!! I'm about to cum~ papi~ εつ▄█▀█●

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⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⠂⢰⡇⣠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣤⣀⣄⡀⠀⠀⣿⠀⣾⣡⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢠⡆⣿⣄⣰⣿⣿⡿⠟⢰⣇⣿⣿⡿⠟⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠸⣷⣿⣿⣿⡉⢁⣀⣀⣼⠿⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⣈⣉⣹⣿⣿⣿⣿⣿⣄⣀⣠⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⣀⣀⣀⣀⣀⣀⣀⡀⠀⠀⠀⠀ ⠘⠻⠟⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⠀⠀ ⠀⠀⠀⠀⠈⠛⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣏⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠘⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣿⡟⢿⣿⣿⢿⣿⠿⠛⣿⣿⠀⠙⢿⣿⡄⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⡇⠈⣿⡇⠀⠀⠀⠀⣿⣿⠀⠀⠈⢻⣿⡆ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⠃⠀⢸⣧⠀⠀⠀⠀⢹⣿⠃⠀⠀⠀⢻⣧ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡟⠀⠀⠘⣿⠀⠀⠀⠀⣸⡏⠀⠀⠀⠀⠀⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠸⡆⠀⠀⠀⡿⠀⠀⠀⠀⠀⠀⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⡇⠀⠀⠀⠀⣿⠀⠀⣼⠃⠀⠀⠀⠀⠀⠀⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⠟⠀⠀⠀⠀⠰⠏⠀⠾⠁⠀⠀⠀⠀⠀⠀⠘⠛

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⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬛⬛⬛⬛⬛⬜⬜⬜ ⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬛⬛⬛⬛⬛⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬜⬜⬜⬛⬛⬜⬜⬜⬜⬛⬛⬛⬛⬛⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬜⬜⬛⬛⬛⬜⬜⬜⬛⬛⬛⬛⬜⬜⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬜⬜⬜⬜⬜⬛⬛ ⬜⬜⬜⬜⬛🟧🟧⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬜⬜⬜⬜⬛⬛ ⬜⬜⬜⬛🟧🟧🟧🟧⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬜⬜⬛⬜⬜ ⬜⬜⬛🟧🟧🟧🟧🟧⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬜⬜⬜ ⬛⬛🟧🟧🟧⬛🟧🟧⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬜⬜⬜⬜ ⬛🟧🟧🟧🟧⬛🟧🟧⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬜⬜⬜⬜ ⬛🟧🟧🟧🟧🟧🟧🟧⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬜⬜⬜⬜ ⬛⬛🟧🟧🟧🟧🟥🟧⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬜⬜⬜⬜ ⬜⬜⬛⬛🟧🟧🟧⬛🟥⬛⬛⬛⬛⬛⬛⬛🟥⬛⬛⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬛⬛⬛🟥🟧🟥⬛⬛⬛⬛⬛🟥🟧🟥⬜⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬜⬜🟥🟥⬜⬜⬜⬜⬜⬜🟥🟥⬜⬜⬜⬜⬜⬜⬜

⬜🟦🟦⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜🟦🟦⬜ 🟦🟦🟦🟦⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜🟦🟦🟦🟦 🟦🟦🟦🟦🟦⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜🟦🟦🟦🟦🟦 🟦🟦🟦🟦🟦🟦⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜🟦🟦🟦🟦🟦🟦 🟦🟦🟦🟦🟦🟦⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜🟦🟦🟦🟦🟦🟦 ⬜🟦🟦🟦🟦🟦🟦⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜🟦🟦🟦🟦🟦🟦⬜ ⬜🟦🟦🟦🟦🟦🟦🟦⬜⬜⬜⬜⬜⬜⬜⬜⬜🟦🟦🟦🟦🟦🟦🟦⬜ ⬜⬜🟦🟦🟦🟦🟦🟦⬜⬜⬜⬜⬜⬜⬜⬜⬜🟦🟦🟦🟦🟦🟦⬜⬜ ⬜⬜⬜🟦🟦🟦🟦🟦🟦⬜⬜⬜⬜⬜⬜⬜🟦🟦🟦🟦🟦🟦⬜⬜⬜ ⬜⬜⬜🟦🟦🟦🟦🏻🏻⬜⬜⬜⬜⬜⬜⬜🏻🏻🟦🟦🟦🟦⬜⬜⬜ ⬜⬜⬜⬜🟦🟦🏻🏻🏻⬜🏻🏻🏻🏻🏻⬜🏻🏻🏻🟦🟦⬜⬜⬜⬜ ⬜⬜⬜⬜⬜🟦🏻🏻🏻🏻🏻🏻🏻🏻🏻🏻🏻🏻🏻🟦⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬜⬜🏻🏻🏻🏻🏻🏻🏻🏻🏻🏻🏻⬜⬜⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬜🏻🏻🏻⬜🏻🏻🏻🏻🏻⬜🏻🏻🏻⬜⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬜🏻🏻🏻⬛🏻🏻🏻🏻🏻⬛🏻🏻🏻⬜⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬜🏻🏻🏻🏻⬛🏻🏻🏻🏻🏻⬛🏻🏻🏻🏻⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬜🏻🏻🏻🏻🏻🏻🏻🏻🏻🏻🏻🏻🏻🏻🏻⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬜🟦🟦🟦🏻🏻🏻🏻🏻🏻🏻🏻🏻🟦🟦🟦⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬜🟦🟦🟦🟦🏻🟫🟫🟫🟫🟫🏻🟦🟦🟦🟦⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬜🏻🏻🏻🟦🏻🟥🟥🟥🟫🟫🏻🟦🏻🏻🏻⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬜🟦🟦🟦🏻🟥🟥🟥🟥🟫🏻🟦🟦🟦⬜⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬜🟦🟦🏻🏻🏻🟥🟥🟥🏻🏻🏻🟦🟦⬜⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬜⬜🏻🏻🏻🏻🟥🟥🟥🏻🏻🏻🏻⬜⬜⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬜⬜⬜🏻🏻🏻🏻🏻🏻🏻🏻🏻⬜⬜⬜⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜🏻🏻🏻🏻🏻⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠒⠂⠀⠤⡀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣷⢂⣤⣴⠖⠉⠉⠲⣶⣤⠀⠀⢀⠐⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣢⡤⢇⣾⣏⣿⠀⢠⠀⠄⣿⣿⣿⡄⠘⠃⠀⠆⠀⠀ ⠀⠀⠀⠀⠀⠀⠐⢡⣀⠉⠀⠚⣿⣿⣿⣴⣿⢸⣿⣿⣿⡿⠀⠖⠀⡔⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠘⠏⠀⠀⣨⠃⣿⣿⣿⣿⣾⣹⣿⣿⠃⣄⣴⡞⠑⡄⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣈⣬⣤⣴⣶⣾⣿⣿⣯⣽⣿⣿⣷⣧⡎⠈⣿⠐⠐⠇⢴⠖ ⠀⠀⠀⠀⢀⠴⠋⠁⠀⠀⠀⠈⢙⠉⡹⠋⠉⠀⠀⠉⠙⠻⣦⡃⠒⣲⢀⠿⠄ ⠀⠀⢀⠔⠁⠀⠀⠀⠀⠀⠀⠀⡀⢠⠁⠀⠀⠀⠀⠀⠀⠀⠈⠻⣦⣾⠀⠀⠀ ⠀⠠⠂⠀⠀⠀⠀⠀⠀⠀⠀⢠⠁⠘⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢿⠀⠀⠀ ⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠆⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠃⢦⢰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⠀⠀ ⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⡀⠀⠈⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣶⡾⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡘⠀⠀ ⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢣⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡔⠁⠀⠀ ⠀⠈⢄⠀⠀⠀⠀⠀⠀⠀⠀⠀⣮⢃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⠀⠀⠀⠀ ⠀⠀⠈⣷⣦⣀⣀⣀⠀⣀⣠⣾⣿⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⣰⠃⠀⠀⠀⠀ ⠀⠀⠀⠘⢿⣿⣿⣿⡽⢿⣿⣿⡟⠹⣿⣷⣦⣤⣤⣤⣤⣶⣿⠏⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢠⣽⣿⣿⢿⡟⣿⡟⠡⣄⣽⣉⣻⣿⣟⣟⢟⡿⡭⣤⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⣤⣾⣿⣿⣿⣿⣿⣿⣿⣶⣄⠀⠀⠀⠀⠀ ⠀⠀⢀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⠀⠀⠀ ⠀⢀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀ ⠀⢸⣿⣿⡿⠛⠉⠙⠛⠿⠿⠟⠛⠉⠉⠻⣿⣿⣿⡆⠀ ⠀⢸⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⡇⠀ ⢀⣸⣿⡅⠘⣿⣷⣶⡀⠀⠀⠀⣰⣶⣿⣿⠂⢸⣿⣇⠀ ⣿⣿⣿⣇⣾⠋⠉⠙⣿⣶⣶⣶⡟⠉⠉⢻⣧⢸⣿⣿⡇ ⢿⣿⣿⡏⢿⣄⣀⣠⣿⠃⠀⠸⣧⣀⣀⣼⠏⣼⣿⣿⠇ ⠈⠻⣿⣷⣤⡉⠛⠉⠀⠀⠀⠀⠈⠙⠋⣁⣴⣿⣿⠏⠀ ⠀⠀⢿⣿⣿⣿⣤⣾⣿⣶⣴⣾⣿⣶⣴⣿⣿⣿⡇⠀⠀ ⠀⠀⠈⢿⣿⣿⣿⣏⣉⣉⣉⣉⣉⣿⣿⣿⣿⡟⠀⠀⠀ ⠀⠀⠀⠈⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠙⠿⣿⣿⣿⣿⣿⣿⣿⠟⠁⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀

⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬛⬛⬛⬛⬜⬜⬜⬜⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬜⬜⬜⬜⬛🟨🟨🟨🟨⬛⬜⬜⬜⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬜⬜⬜⬛🏾🟨🟨🏻🟨🟨⬛⬜⬜⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬜⬜⬜⬛🟨🟨🟨🏻🏻🟨⬛⬜⬜⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬜⬜⬛🏾🟨🟨🟨🏻🏻🏻🏻⬛⬜⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬜⬜⬛🟨🟨🟨🟨🟨🟨🟨🟨⬛⬜⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬜⬛🏾⬛⬛⬛⬛⬛⬛⬛⬛🟨⬛⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬛⬛⬛🟨🏻🏻🏻🏻🏻🏻🏻⬛⬛⬛⬜⬜⬜⬜ ⬜⬜⬜⬜⬛🟨🟨🟨🟨🟨🟨🟨🟨🟨🟨🟨🏻🏻🏻⬛⬜⬜⬜ ⬜⬜⬜⬛🟨🟨🟨🟨🏾⬛⬛⬛⬛⬛⬛🏾🟨🟨🟨🟨⬛⬜⬜ ⬜⬜⬛🟨🟨🟨🏾🏾⬛⬛⬛⬛⬛⬛⬛⬛🏾🏾🟨🟨🟨⬛⬜ ⬜⬜⬛🟨🏾🏾🏾⬛⬛⬛🏻⬛⬛🏻⬛⬛⬛🏾🏾🏾🟨⬛⬜ ⬜⬛⬛⬛🏾🏾🏾⬛⬛⬛🟨⬛⬛🟨⬛⬛⬛🏾🏾🏾🏾🟨⬛ ⬛🏾🏻🏻⬛🏾⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛🏾🏾🏾🟨⬛ ⬛⬛🏾🏻⬛⬛🟦⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛🟦⬛🏾⬛⬛⬜ ⬛⬛⬛🏾⬛🟦⬛🟦🟦⬛⬛⬛⬛⬛⬛🟦🟦🟦⬛⬛⬜⬜⬜ ⬛⬛⬛⬛🟦🟦🟦⬛⬛🟦🟦🟦🟦🟦🟦🟦⬛⬛⬜⬜⬜⬜⬜ ⬛🟦🟦🟦🟦🟦🟦🟦🟦⬛🟦🟦🟦🟦⬛⬛🟦⬛⬛⬜⬜⬜⬜ ⬛🟦🟦🟦🟦🟦🟦🟦🟦🟦🟦🟦🟦🟦🟦🟦🟦🟦🟦⬛⬜⬜⬜ ⬛🟦🟦🟦🟦🟦🟦🟦🟦🟦🟦🟦🟦🟦🟦🟦⬛🟦🟦🟦⬛⬜⬜ ⬛🟦🟦🟦🟦🟦🟦🟦🟦⬛🟦🟦🟦🟦🟦🟦⬛🟦⬛⬛⬛⬜⬜ ⬜⬛🟦🟦🟦🟦🟦🟦⬛🟦🟦🟦🟦🟦🟦🟦⬛⬛⬛🏾🏾⬛⬜ ⬜⬛🟦🟦🟦🟦🟦🟦⬛🟦🟦🟦🟦🟦🟦🟦⬛⬛⬛⬛🏾⬛⬜ ⬜⬛🟦🟦🟦🟦🟦⬛🟦🟦🟦🟦🟦🟦🟦🟦⬛🟦⬛⬛⬛⬛⬜ ⬜⬛🟦🟦🟦🟦🟦⬛🟦🟦🟦🟦🟦🟦🟦🟦🟦⬛🟦⬛⬛⬛⬜ ⬜⬛🟦🟦🟦🟦⬛🟦🟦🟦🟦🟦🟦🟦🟦🟦🟦⬛🟦🟦🟦⬛⬜ ⬜⬛🟦🟦🟦🟦⬛🟦🟦🟦🟦🟦🟦🟦🟦🟦🟦⬛🟦🟦🟦⬛⬜ ⬜⬛🟦🟦🟦🟦⬛🟦🟦🟦🟦🟦🟦🟦🟦🟦🟦🟦⬛🟦⬛⬜⬜ ⬜⬛🟦🟦🟦⬛⬛🟦🟦🟦🟦🟦🟦🟦🟦🟦🟦🟦⬛🟦⬛⬜⬜ ⬜⬛⬛⬛⬛⬜⬛🟦🟦🟦🟦🟦🟦🟦🟦🟦🟦🟦⬛🟦⬛⬜⬜ ⬜⬜⬜⬜⬜⬜⬛🟦🟦🟦🟦🟦🟦🟦🟦⬛⬛⬛⬛⬛⬜⬜⬜ ⬜⬜⬜⬜⬜⬜⬛🟦🟦🟦🟦🟦🟦⬛⬛⬛⬛🏾⬛⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬜⬛🟦🟦🟦🟦⬛⬛⬛🏾🏻🏻🏾⬛⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬜⬛⬛⬛⬛⬛⬜⬛⬛⬛⬛⬛⬛⬜⬜⬜⬜⬜

⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣶⣿⣿⣷⣶⣤⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢠⣾⣿⣿⡿⠟⠋⠁⠀⠀⠀⢱⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⢀⣀⡠⢄⡀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⠟⠁⢀⣤⣶⣿⠟⠛⣞⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡰⠊⣀⣀⠀⠀⠀⠈⠢⡀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢻⣿⡟⠀⢠⣿⣔⣒⣧⠀⣯⡭⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⢡⠎⠀⠀⠭⠦⡀⠀⠀⢰⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢸⣿⣇⣠⣿⡏⣆⣀⢜⠀⢱⠤⠚⢆⡀⠀⠀⠀⠀⠀⢀⣠⡤⣶⣶⣶⣶⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡏⡏⠌⡆⡎⡉⢳⢰⠀⠀⠀⡇⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢾⣉⡹⣿⠉⣾⣷⣦⣬⣭⣭⡴⠀⠀⠈⠲⣄⠀⠀⢠⣏⢡⣦⠈⣡⣹⣿⣿⣿⣦⣰⣶⣤⣀⣤⣤⣤⣄⢸⢡⠉⠉⣆⠁⠒⠁⣜⠄⠀⠀⡇⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⠀⠘⠻⠿⠿⠟⠓⠒⠢⡄⠀⠀⠸⣆⠀⣺⠷⠚⠓⢒⣟⢽⣿⣿⣿⣿⣿⠿⠿⣿⣿⣿⣿⣿⣿⣧⠀⢰⣒⣢⡴⠂⢸⠀⠀⠀⠁⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣀⣼⢿⠀⠀⠀⠀⠀⠀⠀⠀⠉⠀⠀⠀⠀⡸⢰⠋⡉⡆⢠⠒⠑⣼⣿⣿⣿⣟⣂⡀⠀⠀⠠⠄⡉⠻⣿⣿⡦⣀⠉⠉⠀⠀⡄⠀⠀⠀⢠⠀⠀ ⠀⠀⠀⠀⢀⣤⣶⣿⣿⣿⣷⡑⢤⣀⠀⠀⠀⠀⠀⠀⣀⠀⠀⣰⡃⣸⠓⠒⡅⠈⠢⠥⢻⣿⣿⣄⣋⣉⣧⣴⠋⠻⠛⢲⢶⣿⣿⢟⣠⢭⠄⠀⢠⡇⠀⠀⠀⠸⠀⠀ ⠀⠀⢀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣦⣌⡙⠒⢤⣤⣶⣏⣓⣶⣾⣿⣿⣿⠀⠠⣤⣤⣀⠀⢸⣿⣿⡏⠉⠻⠀⠘⠛⠻⠿⠿⠀⠟⢿⣿⣿⣀⡓⠒⡞⡀⠀⣰⠀⠀⠑⡆ ⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣝⠋⣽⣿⣧⢸⣿⣿⣿⣿⣿⣷⣄⣈⠊⠉⠀⢸⣿⣿⣇⠘⡤⠤⠀⢀⡀⠴⠀⠀⢈⣼⣿⡿⠉⣿⣿⣯⣴⣾⣿⡇⠀⠈⡱ ⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠣⠤⠤⢻⣿⣿⣿⣦⡈⠀⠀⠀⠀⠀⢀⡤⠃⣜⣻⣇⣼⠋⠁⠑⡝⣿⢿⣇⠤⠊⠀ ⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢋⠀⠣⢄⣀⡀⣼⣿⣿⣿⣿⡿⣴⣦⡂⣰⣿⠿⠓⢹⣧⣾⣿⣦⡑⡄⢀⡼⠋⢹⠀⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠃⠀⠀⠀⠀⠀⠸⡿⠿⠿⡿⠓⠻⠿⠿⠿⢧⠤⠴⡟⢿⣿⣿⣿⣷⣔⣋⣀⣀⢼⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣦⣴⣦⣤⣶⣤⣤⡇⠀⠊⣠⠀⠀⠀⠀⢠⣅⠀⣀⣸⣨⣿⡿⠛⣿⣿⣷⣾⣿⣿⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⢀⣀⣀⣀⡀⠀⣇⣀⡀⠙⠛⠛⠿⠾⠿⠿⠎⠀⠃⠿⠿⠇⣠⣿⣿⣿⣿⣿⣿⠆⠀⠀⠀

⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬛⬜⬜⬜ ⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬛🟥⬛⬜⬜ ⬜⬜⬜⬜⬜⬛⬛⬛⬛⬛⬜⬜⬛⬛⬛⬛🟥🟥⬛⬜ ⬜⬜⬜⬜⬛🏻🏻🏻🏻🏻⬛⬛🏻🏻🏻🏻⬛🟥🟥⬛ ⬜⬛⬜⬛🏻🏻🏻🏻🏻🏻🏻⬛🏻⬛🏻🏻🏻⬛⬛⬜ ⬛🟥⬛⬛🏻⬜⬜⬜⬜⬜🏻⬛⬛🟥⬛🏻🏻⬛⬜⬜ ⬜⬛🟥⬛⬜⬛⬜⬜⬜⬛⬜⬛🟥⬛🏻🏻🏻⬛⬜⬜ ⬜⬛🟥⬛⬜⬜🟨🟨🟨⬜⬜⬛🟥⬛🏻🏻🏻⬛⬜⬜ ⬛🟥⬛⬛🏻⬜🟥🟥🟥⬜🏻⬛⬛🟥⬛🏻⬛⬜⬜⬜ ⬜⬛⬜⬜⬛🏻🏻🏻🏻🏻⬛⬛⬛⬛⬛⬛⬛⬜⬜⬜ ⬜⬜⬜⬜⬛⬛⬛⬛⬛⬛⬛⬛🏻⬛🏻🏻⬛⬜⬜⬜ ⬜⬜⬜⬜⬛🏻🏻⬛🏻🏻⬛⬜⬛⬛⬛⬛⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬛⬛⬜⬛⬛⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜

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⢴⣤⣶⣾⣟⣇⠀⠐⠒⠂⠿⠛⢻⠳⡖⠐⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠉⠳⠤⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠈⠉⠉⠛⠓⠲⠦⣤⣄⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠞⠁⠀⣠⠴⠂⠀⠀⠀⠉⠙⠲⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠓⠒⠶⣤⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡶⠁⠀⢠⠞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠓⠶⢤⣀⠀⠀⠀⠈⠓⢦⠀⠘⢻⠀⠀⢠⡇⠀⠆⠀⠤⣤⡀⠤⢤⠤⠖⠚⠉⠀⠀⠈⢳⡀⠀⠀⠀⣀⡤⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠦⣄⣤⡤⣶⣷⣄⣸⣦⠀⢸⠀⣀⡤⣾⣿⣶⣾⣧⠄⠀⠀⢀⣀⡤⢾⡁⠀⠉⣻⠗⠋⠁⠀⠀⠀⠀⠀⠀ ⠶⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣇⣸⣏⠁⠈⠛⢻⣯⣿⣾⠟⢁⠀⣿⣿⡏⠟⠛⠋⠉⠁⠀⠀⢈⣻⡶⠚⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣤⣄⣙⣻⣦⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠔⠀⠀⠹⣟⣚⣻⢦⣄⠀⠀⠉⠛⠂⠀⠑⠙⠋⠀⠀⠀⠀⠐⠦⠖⣻⡷⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠿⠿⠻⠿⠿⠿⠿⠷⣦⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⠴⠞⠁⠀⠀⠀⠀⣿⠿⠷⠶⢿⣰⠂⢀⡶⣄⠐⠂⠀⢻⣆⢀⣴⣒⣶⣶⠴⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠶⢶⣶⣤⣤⣴⣶⣶⠙⠉⠻⠿⢶⣶⡶⠖⠒⠒⠒⠚⠉⠁⠀⠀⠀⠀⠀⠀⣼⠃⠀⠀⠀⠀⠉⢡⡟⠀⣽⠖⠒⠀⠉⠉⠛⢦⡴⠛⠁⠀⠀⠸⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣶⣦⣬⣭⣽⡛⠛⠻⣿⣯⣧⣴⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡼⠉⠀⠀⠀⠀⠀⠀⡞⢀⡞⠁⠀⠀⠀⢀⡤⠖⠉⠀⠀⠀⠀⠀⠀⠙⠳⢤⣄⡀⠀⠀⠀⠀⢀⣠⣤⣾ ⠛⠿⣿⣿⣿⣿⣿⣿⣿⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢧⠀⣀⣤⢤⣖⣒⣲⣷⣿⣒⠲⢤⡴⠚⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢩⡽⠛⣿⣿⣿⣿⣿⠙ ⡀⠀⠉⢿⣭⣿⣿⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠟⠋⠉⠉⠀⠀⠀⠀⠀⠀⣠⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡟⠁⠀⠀⠀ ⣿⣶⣦⣤⣿⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣿⣀⣀⠀⣀⣀⣀⠀⠀⣠⠞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡏⠉⠉⠉⠉ ⣿⣿⣿⣿⡟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡰⠚⠁⠀⣠⠞⠋⠁⠀⠈⢹⠞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣷⡄⠀⠀⠀ ⣿⣿⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡾⠁⠀⠀⡼⠁⠀⠀⠀⠀⣴⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣀⠀⠀ ⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠃⠀⠀⣸⠁⠀⠀⠀⠀⣰⠣⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⡿⠃ ⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⢀⣯⠀⠀⠀⠀⣴⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⢿⡻⣷⣦ ⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡄⠀⣾⡇⠀⠀⢀⡾⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠜⢷⡙⣿ ⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢷⡀⣿⣯⣀⡴⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡀⠈⢷⠈ ⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠟⠲⢾⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡇⠀⠀⠀ ⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣆⠀⡾⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡄⠀⠀⠀ ⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡿⠁⠀⠀⠀ ⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⢿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡿⠀⠀⠀⠀ ⣿⣿⣿⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⡇⠀⠀⠀⠀ ⣿⣿⣿⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⡟⠀⠀⠀⠀⠀ ⣿⣿⣿⠟⠙⢷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡿⠃⠀⠀⠀⠀⠀ ⠛⠉⠀⠀⣀⣤⡿⣦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣾⠁⠀⠀⠀⠀⠀⠀ ⠀⣀⡴⠞⠉⠀⠀⠈⣙⡷⣦⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⠁⠀⠀⠀⠀⠀⠀⠀ ⠈⠁⠀⠀⠀⠀⠀⠀⠀⠸⡄⣹⣿⣶⣤⣤⣄⣀⣀⣀⣀⣀⣀⣀⢈⢻⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⣺⣾⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢀⣠⡤⠶⠟⠛⠋⠁⠀⠀⠀⠈⣉⣽⠿⠛⠉⣩⣿⢿⣿⣿⣷⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣤⣿⣿⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⣀⠀⠤⠞⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⣀⣴⠟⠋⠀⣠⡴⠟⠋⠀⠀⠈⣋⣿⣿⣿⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣠⣴⣾⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢛⡉⣀⡀⢀⡀⠀⠀⠀⠀⠀⠀⣠⡶⠞⠋⣀⣠⠶⠟⠋⠀⠀⠀⠀⢠⣶⣿⣿⣿⣿⣿⣿⣶⣶⣶⣤⣤⣤⣤⣤⣤⣴⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⡿⠒⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⣠⣴⣾⣿⣶⣄⡀⢀⣴⣾⣿⣿⣶⣄⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿⣿⣿⣷⣾⣿⣿⣿⣿⣿⣿⣆⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠈⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣀⣀⣀⡀⠀⠈⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⣀⣀⣀⡀⠀⠀ ⢀⣴⣿⣿⣿⣿⣿⣷⣦⣄⠙⣿⣿⣿⣿⣿⣿⣿⣿⠟⢀⣠⣶⣿⣿⣿⣿⣿⣷⡄ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣮⣿⣿⣿⣿⣿⣿⣯⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷ ⠘⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠏ ⠀⣠⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⡀⠀ ⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠟⣿⡟⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆ ⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠋⠀⢰⣿⠃⠀⠙⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇ ⠈⠻⣿⣿⣿⣿⣿⠿⠛⠉⠀⠀⠀⢸⣿⠀⠀⠀⠀⠉⠛⠿⣿⣿⣿⣿⣿⡿⠛⠀ ⠀⠀⠀⠈⠉⠁⠀⠀⠀⠀⠀⠀⠀⢸⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⡿⠗⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⬜⬜🟦🟦🟦⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜🟩⬜⬜⬜⬜⬜ ⬜🟦⬜⬜⬜🟦⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜🟩⬜⬜⬜⬜⬜ 🟦⬜⬜⬜⬜🟦⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜🟩⬜⬜⬜⬜⬜ 🟦⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜🟩⬜⬜⬜⬜⬜ 🟦⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜🟩⬜⬜⬜⬜⬜ 🟦⬜⬜🟦🟦🟦⬜🟥🟥🟥⬜⬜⬜⬜🟨🟨🟨⬜⬜⬜🟦🟦🟦⬜🟩⬜🟥🟥🟥⬜ 🟦⬜⬜⬜⬜🟦🟥⬜⬜⬜🟥⬜⬜🟨⬜⬜⬜🟨⬜🟦⬜⬜⬜🟦🟩🟥⬜⬜⬜🟥 🟦⬜⬜⬜⬜🟦⬜⬜⬜⬜⬜🟥🟨⬜⬜⬜⬜⬜🟨🟦⬜⬜⬜🟦🟩🟥🟥🟥🟥🟥 🟦⬜⬜⬜⬜🟦⬜⬜⬜⬜⬜🟥🟨⬜⬜⬜⬜⬜🟨🟦⬜⬜⬜🟦🟩🟥⬜⬜⬜⬜ 🟦⬜⬜⬜⬜🟦⬜⬜⬜⬜⬜🟥🟨⬜⬜⬜⬜⬜🟨⬜🟦🟦🟦🟦🟩🟥⬜⬜⬜🟥 ⬜🟦🟦🟦🟦⬜🟥⬜⬜⬜🟥⬜⬜🟨⬜⬜⬜🟨⬜⬜⬜⬜⬜🟦🟩⬜🟥🟥🟥⬜ ⬜⬜⬜⬜⬜⬜⬜🟥🟥🟥⬜⬜⬜⬜🟨🟨🟨⬜⬜🟦⬜⬜⬜🟦⬜⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜🟦🟦🟦⬜⬜⬜⬜⬜⬜⬜

⠀⣾⡟⠀⠀⠀⠀⠀⢀⡞⠉⠉⢷⣀⠀⠈⢧⣠⠞⠀⠀⠀⣼⣿⢏⣿⣫⠞⣽⡴⠟⠉⠾⢟⡿⢿⡏⠀⠀⣿⡄⠀⢹⡌⡇⠀⠈⢳⠀⠘⡄⠀⠙⣦⡀⠀⠀⠀⠀⠘⢞⡷⡄⠘⡄ ⢰⡟⠀⠀⠀⠀⠀⠀⡾⠀⠀⠀⠀⠈⠳⢤⡀⠃⠀⠀⠀⣼⣹⣿⠛⠋⠁⠀⠉⠀⠀⠀⠀⠈⠀⢸⡇⠀⢠⣿⡇⠀⢸⠁⡇⠀⠀⠘⣆⠀⢻⠀⠀⠈⢷⣄⠀⠀⠀⠀⠀⠻⡜⢦⡹ ⠸⠀⠀⠀⠀⠀⠀⢰⠁⠀⠀⠀⠀⠀⠀⠀⢹⠦⡀⠀⢰⠋⢽⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠃⠀⣸⣿⡇⠀⢸⡇⢸⠀⠀⠀⢻⡀⠀⡇⠀⠀⠀⠻⣦⠀⠀⠀⠀⠀⢱⡄⠝ ⠃⠀⠀⠀⠀⠀⢀⠇⠀⠀⠀⠀⠀⠀⠀⠀⣾⠀⠈⠢⣞⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡼⠀⢠⡏⢹⠀⠀⢨⡇⢸⡆⠀⠀⠘⡇⠀⣧⠀⢀⠀⠀⠈⢧⣀⠀⠀⠀⠀⠹⣆ ⠀⠀⠀⠀⠀⠀⡘⠀⠀⠀⡞⠀⠀⠀⢰⠀⣿⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⡼⠁⢸⠀⠀⢸⠀⣸⡷⠞⠛⠓⢧⠀⢸⠀⠘⣇⠀⠀⢰⡻⣷⡀⠀⠀⠀⠈ ⠀⠀⠀⠀⠀⠀⠇⠀⠀⠀⡇⠀⠀⠀⣾⠀⣟⠀⠀⠀⡄⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠁⣰⠃⠀⢸⠀⠀⣸⠀⢸⡇⠀⠀⠀⢸⠀⢸⠀⠀⢿⡆⠀⠈⣧⠀⠙⢦⡀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⠃⠀⠀⠀⣿⡀⣷⢤⣲⠿⠷⠒⢺⡯⠽⢷⣂⡄⠀⠀⠀⠀⠀⠀⣿⣴⠃⠀⠀⣿⠀⠠⠇⠀⢸⡇⠀⠀⠀⢸⠀⠀⠀⠀⡾⢳⠀⠀⢸⣧⠀⠀⠘⠲⢄ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⣿⣯⣿⠉⠀⠀⠀⠀⠸⡆⠀⠀⠈⠉⠀⠀⠀⠀⠀⢰⡷⠃⠀⠀⢀⡏⠀⠀⠀⠀⢸⠇⣀⡤⣤⣼⠀⠀⠀⢀⣇⣸⡇⠀⢸⠹⡇⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⢰⠉⣧⠸⠀⠀⠀⡀⠀⠀⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠞⠀⠀⠀⠀⣸⠁⠀⠀⠀⠀⡼⠛⠁⢀⣀⣽⠀⠀⠀⣼⣧⣍⣧⠀⢸⣆⣿⠀⠀⠀⠀ ⡀⠀⠀⠀⠀⠀⠀⠀⠀⡞⠀⠀⠀⢸⠀⠸⣆⠀⠀⢀⣷⡀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡏⠀⠀⠀⠀⣼⠃⣠⣶⣿⣿⡟⠀⠀⢰⣿⣿⣿⣿⠀⠀⣏⣻⡆⠀⠀⠀ ⣇⠀⠀⠀⠈⠀⠀⠀⠀⡇⠀⠀⠀⢸⠀⠀⠹⣆⠀⢸⡟⣧⠀⢹⠤⣤⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠁⠀⢰⣆⣰⣫⢞⣵⡿⠿⣿⣷⠖⠒⠛⠉⠉⠉⣿⠀⢸⣿⣿⣿⠀⠀⠀ ⡇⠉⠒⠄⠠⠀⠀⠀⠀⣿⠀⠀⣴⡈⡇⣀⠤⠞⣷⣼⣿⣿⣷⣤⣄⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠙⠓⠋⠟⠛⢱⡾⣫⣾⣿⣿⣿⣿⣶⣄⠀⠀⠀⡿⢤⣼⣿⣿⣿⡄⠀⠀ ⢇⠀⠀⠀⠀⠀⠀⠀⠀⣿⣽⢀⣏⣙⣿⣶⣾⣿⣿⣟⣻⣿⣿⣿⣯⣻⣓⡾⠵⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢡⣿⣿⣿⣿⣿⠿⣿⣿⣿⡄⠀⠀⠀⠀⢸⣿⣿⡇⠀⠀ ⠘⠦⠀⠀⠀⠀⠀⠀⠀⣿⣿⡿⢓⣿⢋⣽⣿⡿⠟⠋⢉⣠⣶⣮⣿⣝⡛⠻⣶⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⡏⠀⠉⠁⠀⢸⣿⢿⡇⠀⠀⠀⠀⢸⣿⢿⡇⠀⠀ ⠀⡀⢜⡀⠀⠀⠀⠀⠀⣾⠟⣡⣾⣿⣿⡿⠋⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣦⡀⠙⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⢻⢦⡀⠀⠀⡾⡿⢻⡇⠀⠀⠀⠀⣾⡿⠘⡇⠀⠀ ⠀⠃⠀⠸⠀⠀⠀⠀⠀⢸⣾⣿⣿⡽⠛⠀⠀⠀⢠⣿⣿⠟⠛⠿⠋⠈⢹⣿⣷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣦⣀⠉⠛⠚⢁⣠⡿⠃⠀⠀⠀⠠⠿⠃⢰⠁⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣻⣻⡇⠀⠀⠀⠀⢸⣿⠿⣄⠀⠀⠀⠀⣸⡿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠛⠻⠿⠻⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠟⠀⠀⡌ ⡆⠀⠀⠀⠂⠀⠀⠀⢣⠀⢹⣿⣽⣇⠀⠀⠀⠀⠘⢻⣆⠉⠓⠦⣄⡴⢋⣴⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠒⠠⠄⠀⠀⠀⠀⠀⠀⢀⣤⣤⣤⣀⡀⠀⠀⠀⠀⠀⠀⠀⡐⠀⢀⣴⣧ ⢣⠀⠀⠘⡀⢠⠀⠀⢸⡆⠀⢻⣿⢾⣶⡀⠀⠀⠀⠈⠛⢷⣦⣤⡤⣶⡿⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠁⠀⠀⠀⠀⠀⠀⡀⠄⢻⣿⣧ ⠀⠀⠄⠀⠠⠋⠀⠀⠀⣿⠀⠀⢿⣯⡿⣿⣦⡀⠀⠀⠀⠀⠀⠈⠉⠁⠀⠀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠀⠀⠀⢸⣿⠇ ⠀⡄⠀⢀⠀⠀⠀⠀⠀⣽⣧⡀⠈⢳⣍⠙⠻⡷⠀⠀⠀⠀⠀⢀⡠⣶⡾⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡏⠀ ⠠⠁⠀⣸⠀⠀⠀⠀⢀⡿⣿⣷⣄⠀⠹⡄⠀⠀⠀⠀⠀⠀⠠⣋⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡤⠤⠒⠒⠓⠚⠛⠒⠲⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠃⠀ ⠀⠀⠀⢿⠀⠀⠀⠀⣸⡇⠘⢷⠙⢧⡀⠈⠀⠀⠀⠀⠀⣠⠜⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⠶⣖⣛⣁⡤⠴⠞⠛⠛⠛⠛⣦⣰⢿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀ ⠉⠀⠀⢸⠀⠀⠀⠀⣿⣧⠀⠈⢷⠈⣿⣤⡐⢦⣄⠀⠐⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣧⡤⡏⠉⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠀⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡏⠀⠀ ⠀⠀⠀⡌⠀⠀⠀⠀⣿⡎⢷⡀⠀⠁⠘⣿⡙⠦⣝⢦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⡅⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡿⠀⠀⠀ ⠀⠀⢀⠁⠀⠀⠀⠀⡏⢷⡈⢷⡀⠀⠀⠘⣧⠀⠈⠛⠯⣶⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⣽⠀⠀⣥⠤⢤⣤⣀⣀⣤⣤⢴⣶⣦⠀⠀⠀⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣿⠁⠀⠀⠜ ⠀⠀⡜⠀⠀⠀⠀⢸⠇⠀⠙⢦⣳⡀⠀⠀⠸⣧⡀⠀⠀⠀⠉⠉⠀⠠⣤⡀⠀⠀⠀⠀⣿⢠⠟⠀⠀⠀⠀⢀⡁⠀⠀⠀⠀⠹⡇⠀⢀⡏⠀⠀⢀⠀⠀⠀⠀⣠⠞⣿⠃⠀⢀⠜⠀ ⣠⠾⠊⢠⠀⠀⠀⢸⠀⠀⠀⠀⠈⢧⠀⠀⠀⡏⠻⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣿⠀⠀⠀⠀⠀⠊⠀⠀⠀⠀⠀⠀⢷⣀⣸⠃⠀⠀⠀⠀⠀⣠⠞⠁⢰⠏⠀⠀⠈⢰⠀ ⠀⠀⠀⢸⠀⠀⠀⢸⠀⠀⠀⠀⠀⠈⣧⠀⠀⣧⠀⠹⣿⣦⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠐⠀⠀⠀⠀⠀⠀⠀⢟⡿⡧⠀⠀⠀⢀⡴⠊⠁⠀⢀⡿⠀⠀⡴⠀⡌⠀ ⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠘⡆⠀⣿⠀⠀⠹⣬⡟⣿⣳⣤⣀⠀⠀⠀⠀⠀⠀⢹⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠣⡄⠀⠀⣠⡶⠋⠀⠀⠀⠀⢸⡇⠀⢠⠇⠀⡇⠀ ⠀⠀⠀⠀⠄⠀⠀⣾⠀⠀⠀⠀⠀⠀⠀⢻⠀⡟⠀⠀⠀⠙⣝⣌⠛⢿⣛⠻⡄⠠⣄⣀⠀⢘⡇⠀⠀⠀⠀⠀⠀⠀⠀⢀⡞⠉⠆⠀⣶⡞⠋⠀⠀⠀⠀⠀⠀⣼⡇⠀⡜⠀⠀⣤⠀ ⠀⠀⠀⠀⠠⠀⠀⢻⠀⠀⠀⠀⠀⠀⠀⢸⣦⠇⠀⠀⠀⠀⠘⣮⣳⣄⡉⣇⢳⣀⣼⣙⣟⣻⣷⡀⠀⠀⠀⠀⠀⢀⣠⠟⠀⠀⡀⣸⡋⠀⠀⠀⠀⠀⠀⠀⠀⣸⡇⠀⡇⠀⠀⠁⠀

⠀⠀⠀⠀⠀⠀⠀⠀⣀⠤⠄⣠⣄⣠⡄⣠⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⡴⠋⡀⢂⠕⢀⠜⢻⣿⣯⡀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⡜⢀⠎⠔⣁⡴⠁⢀⡇⠀⣿⢥⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢼⢠⣿⢊⣼⠊⡧⠃⡾⡇⠀⣸⢸⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢸⢆⣇⠎⠙⠛⣧⡾⣁⣱⠀⣏⣧⡄⠀⠀⠀⠀ ⠀⢀⣴⣶⣼⣸⣼⡆⠀⠀⢁⣀⣛⣿⣾⣼⣾⣿⡀⠀⠀⠀ ⢠⣿⣿⡿⠛⠛⠛⠘⢶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣾⡷⠀⠀ ⣿⣿⣿⡄⠀⣠⠀⢀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠙⡀⠀ ⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣅⣀⢲⢰⠀ ⠘⣿⣿⣿⡿⠟⠛⠛⠛⠛⠻⡿⠿⠿⢿⣿⣿⡇⠀⢉⣷⠀ ⠀⣿⣿⠋⠀⠀⠀⠀⠀⠀⠀⢁⠀⠀⠀⠈⢻⣿⣦⣥⡏⠀ ⠀⣿⣧⠀⠀⠀⠀⠀⠀⠀⢀⡎⠀⠀⠀⠀⣸⠟⠉⣀⡇⠀ ⠀⠘⢿⣆⠀⠁⠐⠂⠀⡔⠹⠑⠤⢀⣀⣴⢇⡧⣾⠏⡄⠀ ⠀⠀⠀⠙⠶⠀⠀⠀⠎⠀⠀⠀⠀⣿⡷⢻⡼⣹⡏⠀⠃⠀ ⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⢋⠀⢸⠀⡟⡀⢰⠀⠀ ⠀⠀⠀⢀⠋⠀⠀⠀⠀⠀⠄⠀⠀⠀⢢⠘⡀⠁⠀⠘⠀⠀ ⠀⠀⠀⠌⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⢂⠈⠂⠀⠀⠀⠀ ⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⡄⠀⠀⠀⠀⠀ ⠀⠀⠎⠀⠀⠀⠀⠀⢂⠀⠀⠀⠀⠀⠀⠀⠘⣄⠀⠀⠀⠀ ⠀⣰⠀⠀⠀⠀⠀⠀⠈⢂⠀⠀⢠⠀⠀⠀⢀⠎⣧⠀⠀⠀ ⢠⠍⣒⠤⠀⡀⠀⠀⠀⠀⢡⣠⠂⠀⠀⡄⣿⠆⠈⢄⠀⠀ ⠁⠠⠁⠉⡒⠒⠨⠀⡒⠠⠄⣇⠀⠀⣌⢠⠀⠱⠀⠈⢆⠢

⣧⠀⣾⣿⣧⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⣧⠀⢻⡸⣿⣧⠹⡄⢹⣿⡀⢻⡄⢁⢻⣄⠹⡄⠀⠹⣟⢷⡀⠙⣿⣿⣿⡜⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⠀⠀⠀⠀ ⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡼⣿⣿⡉⢧⠀⠀⠘⣆⠀⢧⣿⢹⠙⢿⡶⣿⣷⠼⣷⠤⣤⠽⣷⣧⠤⠤⣸⣎⣇⠀⠈⢿⣿⣧⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⡀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠋⠈⢻⡜⢿⣷⡌⢧⠀⠀⠹⣆⠘⣾⣾⡇⠀⢧⢹⣿⣆⣿⠿⠟⠲⠿⣿⣤⣤⣤⣽⣿⣀⡀⢈⣿⣿⠀⣿⡇⣿⣽⣿⣿⣿⣿⣿⣿⣿⣦⡀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⠻⡞⣧⢤⠀⠹⡈⠿⣷⡘⣧⠀⠘⣿⡄⢹⣹⠃⠀⠘⠜⠋⠁⠀⢀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣼⣿⣇⣼⣷⠉⠀⣿⣿⣿⣿⣿⣿⣿⣯⡻⡄ ⣿⣿⣿⣿⣿⣿⡿⠛⠁⠘⣿⢧⢻⣼⣿⡆⡀⠀⠀⠚⣷⣈⣇⠤⠞⠛⠞⠙⠃⠀⠀⠀⠀⠀⠀⢉⡿⠋⠀⠀⢀⣀⣀⡈⠉⠙⠛⠻⢿⣿⣿⣿⣿⣄⣀⣿⢿⣿⣿⣿⣿⣿⣿⣿⣾ ⣿⣿⣿⣿⣿⠛⠀⠀⠀⠀⠘⡏⢿⣿⡈⢧⣿⡄⢀⣤⠞⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠞⠀⠀⣾⣧⣨⣿⣿⣿⣷⣦⡀⠀⠀⠈⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣟⢮ ⣿⣿⣿⣿⡆⠀⠀⠀⠀⠀⠀⣹⡏⠙⣧⠀⠻⣏⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⢨⣽⣿⢿⡟⠉⠻⣶⣿⣿⡄⠀⠀⠀⣿⡏⢿⣿⣾⣿⣿⣿⣯⣿⣷⣝⢿⣿ ⣿⣿⣽⢿⣆⠀⠀⢀⠀⣠⣾⠿⣿⣄⠈⠳⢄⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣏⠀⠀⠠⠀⢀⣿⣿⣿⡇⠀⠀⠀⢿⣳⡈⢿⣿⣿⣿⣿⣿⡻⣿⣿⣷⣝ ⡿⣿⡀⠈⢿⣆⠀⢈⣷⢏⡤⠖⠒⠛⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣷⣶⡶⠶⣟⣉⣉⣁⣀⣀⣤⡀⠺⡇⠳⢾⣿⣿⣿⣿⣿⣿⣮⠻⣿⣿ ⣷⢹⣿⡀⠀⠻⣶⣿⡷⠋⣠⣴⣯⣤⣔⣊⣁⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣭⠷⠓⠚⠉⠉⠉⣽⠿⢭⣍⣉⠑⠋⢻⣦⣄⣸⣿⣿⣿⣿⣿⣿⣷⣜⠻ ⢻⣧⠹⣆⢠⣾⠟⠉⣠⣾⣿⣿⣿⠟⠋⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢷⣠⣴⣤⣉⡉⠉⠉⠉⠉⠉⠉⠻⣿⣿⣿⣿⣿⣿⣿ ⣧⠹⣦⠸⢿⠏⢠⣾⣿⣿⡿⠋⠀⣠⣶⣦⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⢿⣿⣿⣿⣿⣿⣷⣶⣶⡶⠟⠛⠛⢿⣿⣿⣿ ⣿⣦⠙⢧⡀⣤⣿⣿⣿⠋⣴⣿⣷⣿⡿⢿⣛⣿⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠷⣼⣿⣟⣛⣛⣃⣀⣀⣀⣤⣤⣶⠿⠻⣿ ⣝⢿⣷⡀⢳⣿⣿⡿⠃⣼⣻⣿⠿⢿⡀⠀⣿⣿⣿⠀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⢿⣿⣿⣿⣿⣿⣿⣿⠟⠍⡛⣳⣾ ⣙⣷⣬⠿⣾⣿⣿⠁⠐⣧⣼⡇⠀⠈⠁⣴⠿⣻⣽⠞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⢹⣿⡿⠁⢀⣴⣾⣿⣯ ⣿⠋⠉⢠⣿⣿⡏⠀⠀⣿⣿⣿⣶⣶⠞⣡⡾⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣴⡟⣫⣠⣴⣿⣿⣿⣿⢿ ⣿⣤⠔⢻⣿⣿⡇⠀⠀⠘⢿⣿⠋⣏⡼⠛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠞⠉⣹⣿⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷ ⣇⢛⢦⣾⣿⣿⣷⣄⠀⠀⠀⣨⠶⠋⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡠⠤⠀⠀⠀⣀⣤⣾⣭⣉⣛⢿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠈⡿⢿⣿⣿⣻⣋⣭⢤⣤ ⣿⣧⣾⣿⣏⠀⠀⠀⠀⡄⢰⣿⣀⠄⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣔⣋⣀⣠⣤⢴⣾⣿⠟⠋⠉⠉⠛⠿⢿⡇⠀⠀⠀⠀⠀⠀⠀⠀⣸⠁⠈⢻⡄⠀⠀⣤⢀⡾ ⣿⣿⣽⢿⡿⣿⣦⣀⠀⠳⠟⠋⡜⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⡿⠛⣡⡼⠟⠛⠉⠁⠀⠀⠀⠀⠀⠀⢸⠇⠀⠀⠀⠀⠀⠀⠀⢰⠇⠀⠀⠀⣿⣤⣤⣬⡞⠁ ⢿⣿⣿⣿⣿⣦⡈⠉⠙⠛⠀⠀⠀⠀⢀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣣⡾⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠏⠀⠀⠀⠀⠀⠀⠀⢠⣿⣶⠶⣶⣾⡏⣤⣼⠏⠀⠀ ⠳⣽⣿⣿⢿⣿⣿⣦⣀⠀⠀⠀⢀⣼⠟⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡴⠃⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣷⣿⣿⠃⠀⠀⠀ ⠀⠈⠛⢿⣽⠙⣿⣶⣟⣷⣤⣴⣿⣫⣾⣿⠏⠀⠀⠀⢀⣶⣿⣷⡄⠀⠀⠀⠀⠀⠈⠷⣄⣀⡀⠀⠀⠀⠀⠀⠀⢠⠏⠀⠀⠀⠀⠀⠀⠀⠀⣠⡿⠿⠿⠿⠿⢿⣿⣿⡏⠀⠀⠀⠀ ⣿⣶⣶⣤⣽⣿⣿⣿⣿⠋⠃⠀⠉⣹⡿⠃⠀⠀⠀⣠⣾⡿⣡⢿⣧⣄⡀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠉⠙⠒⢤⣩⠀⠀⠀⠀⠀⠀⠀⠀⡴⢿⣇⠀⠀⠀⠀⠀⠈⣿⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣅⠀⢀⣠⣾⣿⡙⠲⢤⣤⡾⠋⠀⠀⠁⣼⣿⣽⣷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⠂⠀⠀⠀⠀⠀⢠⡞⠀⣼⢏⣽⣦⣀⠀⣠⠞⠃⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠻⠿⣿⣷⡾⠛⠀⠀⠀⣠⣾⠃⠛⣸⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣋⣴⢋⣱⡾⣽⣯⡿⠿⣄⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀⣴⣿⣯⣌⣄⣀⡾⣿⠃⠀⠀⢳⠷⢴⣶⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣶⣿⣭⣶⣿⠟⠀⢰⡟⣞⠉⢳⠱⣄⠀⠀⠀⠀⠀ ⣿⠟⠁⠀⢸⣿⣿⣿⣿⣿⡆⠀⢀⣾⣿⣿⣿⣿⣿⠟⣰⣿⠀⠀⠠⣾⠀⣿⣿⢿⣏⠉⠉⠉⠉⠙⠓⠒⠒⠒⠒⠒⣹⣽⣿⣿⣿⣿⣿⡟⠋⣠⡶⣛⣯⠼⠀⠀⡇⢹⠀⠀⠀⠀⠀ ⠁⠀⠀⠀⠀⣿⣿⣿⣿⡿⠻⠦⠟⠻⣿⣿⣿⣿⠋⣰⣿⣿⣤⣤⣴⡇⢰⣏⣽⣿⠿⠤⠤⠤⠤⠴⠶⠦⠤⠶⠾⠽⣷⣿⣿⣿⣽⣿⣿⣷⣼⠫⣏⣁⣀⣀⡤⠤⠧⢈⡇⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢸⣿⣿⡟⡰⢊⠑⢀⢐⠘⣿⡿⠃⣴⣿⣿⣿⣿⠿⠟⠓⠋⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠉⠉⠙⠒⠛⠛⠓⠒⠚⠉⠉⠉⠁⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠤⠒⠂⠉⠑⠲⣄⣉⣓⣒⣲⢤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡴⣋⡠⠤⠄⠒⢒⣤⣤⣼⠷⠦⣄⠀⠉⠺⣷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡾⠟⠈⢀⡤⣶⠞⠉⠀⠀⡇⠑⡄⠀⠙⢦⠀⠈⢪⣢⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⠏⠀⢠⠖⠁⡰⠁⠀⠀⠀⢀⡇⠀⠹⡄⠀⠀⠳⡄⠀⠹⣧⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⡏⠀⢰⢏⠎⢰⠇⠀⠀⠀⠀⡼⠀⠀⠀⢷⠀⢢⠀⢡⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⠀⠀⣟⡏⢀⡟⠀⠀⠀⠀⢀⠇⡀⢀⠀⢸⠀⠀⣇⠘⡴⠀⣿⡇⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣼⠀⢀⣿⠀⡸⡇⠀⡆⢀⡆⣼⠀⡇⠘⡄⠀⡆⠀⢹⢰⣇⠀⣿⡇⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣄⢰⣿⣷⣇⢧⡃⠇⢸⣿⠻⡄⢧⠀⢣⠀⡇⠀⢸⣼⣻⣴⣿⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣠⠴⠚⠹⣻⡸⡈⣿⡛⣯⣿⣇⢸⣸⣷⣊⢿⠼⣄⠘⢰⠁⠀⣼⢼⣿⡿⢧⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢀⡤⠖⠋⠀⠀⠀⣀⣹⣿⣷⡹⡄⠻⠝⠛⠂⠙⠿⠾⣿⣿⣷⣧⡏⠀⢠⡏⣾⡈⣧⡄⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⣠⣾⡇⠀⣀⣠⠴⠊⠉⢉⣥⣷⣾⡈⠂⠀⠀⠀⠀⠀⠀⣳⠶⢃⠞⠀⢀⣾⣿⠁⣇⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⣴⣿⣟⣷⣈⣿⡿⠀⢀⣴⠟⢹⣿⣿⣷⣄⠀⠀⠀⠀⠀⠀⠚⠯⣡⣤⠖⠛⠁⠘⣶⡻⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢰⠃⠘⣿⢿⣿⣿⣧⣴⠟⠈⠀⠸⣿⣿⣿⣿⣷⣄⠀⢀⣀⡠⠔⠋⠁⠘⢦⡒⠦⠞⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⡿⠀⠈⢉⣿⣿⣿⡟⢻⢠⣧⣤⣻⣿⣿⣿⣿⠟⠉⢻⠉⠀⠀⢀⠠⠀⠀⠀⢹⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣧⢀⣴⠟⠁⣠⣿⣻⣦⡈⢛⣿⠿⣿⣿⣿⡏⠀⠀⠀⣧⣣⠊⠁⠀⠀⠀⢀⣼⡟⣻⣷⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢿⣿⣀⣧⣾⣿⠿⠛⠛⠛⠉⢀⣴⣿⣿⣿⠁⠀⠀⠀⠈⠁⠉⠁⠀⠀⣠⣿⡿⣿⠋⠀⠙⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠈⠉⠉⠉⠀⠀⠀⠀⢀⡴⠛⠉⠛⢿⣿⠀⠀⠀⠀⠀⠀⢀⣀⣤⣾⣿⣿⣱⡇⠀⠀⠀⣸⡇⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⠁⠀⠀⠠⢸⣿⡦⣂⣤⣶⡿⠿⠿⠿⢿⣿⣿⣿⣿⣥⡴⠶⣾⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢰⡋⠀⠀⠀⠀⠈⢿⣿⡿⠋⠁⠀⠀⠀⠀⠀⢹⣿⣿⡿⠃⣠⡾⠋⣼⠁⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣄⠀⠀⠀⠠⣼⡏⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣿⠁⠚⠉⠀⣼⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣶⣄⣲⣷⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⠁⣠⡖⠀⣰⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠿⣿⣿⣿⣦⡀⠀⠀⣀⠀⢀⣴⣿⡿⠟⠁⢀⣴⣧⢄⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡻⣿⣿⣿⣿⣿⣿⣿⣿⡟⠉⠀⠀⣠⢿⣿⣏⢷⡌⠻⣷⣦⣀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣷⣿⣿⠟⢻⣿⣿⣿⠋⠀⠀⠀⠋⣿⣿⢫⢻⡀⢻⡀⠈⠻⡟⣷⣄⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣴⣟⣿⡟⠁⠀⠀⠀⣠⣾⡿⣡⡟⢨⡇⠀⡇⠀⠀⣷⣽⣿⣆⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢈⣿⣿⣿⣼⣿⣧⣈⣀⣤⣾⣿⣿⠿⠋⠀⣼⣧⣰⡇⠀⢠⣿⣿⣿⣿⡆⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠁⠀⠀⣰⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣷⣭⡉⠉⠉⠁⠀⣀⣴⠞⣋⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⢰⣿⣿⣿⠿⠿⠿⠿⠿⣿⣿⣿⣿⡿⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⣿⣿⠀⠀⠀⠀⣠⣾⣿⣿⣿⠁⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⡟⢻⣿⣿⣿⣿⣿⣷⣿⣿⣿⣿⡀⠀⢠⣾⣿⣿⣿⣿⠃⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⣿⣿⣷⠈⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣠⣤⣿⣿⣿⣿⡿⠁⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⣿⣧⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠋⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠁⠀⠀⠀⠀⠀⠀⠀

⠀⠀⢀⠚⠁⢀⣬⣴⣿⣶⣟⠯⠷⠶⢵⣀⡼⣍⠁⠈⣿⣼⣄⠀⠀⠀⠀⠀ ⠀⠀⡄⣠⣶⠟⠋⠉⠉⢐⣀⠈⠁⢰⣾⣟⠢⠄⣀⠉⠙⠻⢆⠱⠀⠀⠀⠀ ⠀⠀⢝⣿⠍⣠⢊⠉⠁⠀⠀⠀⠈⠉⠀⠉⠉⠁⠉⠉⠐⠒⠉⠷⢧⠀⠀⠀ ⠀⠸⢸⣇⢸⠃⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠢⡄ ⠀⢀⠸⠹⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢱ ⠀⠸⠀⢹⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡸ ⠀⢰⠀⠀⢧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⠃ ⠀⠀⠀⠀⠈⣯⣀⣀⣀⣀⠤⠀⠀⠀⠀⠀⠀⠀⠀⠈⠐⠠⢄⣀⣔⡾⠁⠀ ⠀⠀⠀⠀⠀⠘⣿⡰⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⡹⠃⠀⠀ ⠀⠀⠀⠀⠀⠀⢸⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠃⡇⠀⠀ ⠠⠀⠀⠀⠀⠀⡈⠈⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠆⢇⠀⠀ ⠀⠀⠀⠀⠀⠀⡇⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣸⠀⠀ ⠀⠀⠀⠀⠀⢀⠁⠼⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⡇⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⠤⠤⣼⣿⠂⠀⠀⠠⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡴⠉⠀⣰⣺⣿⠟⠛⢢⡀⠀⢣⣦⡀⠀⠀ ⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⣾⠃⠀⠀⣽⣿⠃⠀⡞⢁⣿⢶⠋⠚⣿⣠⡀ ⠀⠀⠀⠀⢆⠀⢰⠀⠀⠀⢰⣿⣀⡀⣐⣿⡏⠀⣸⣷⣿⣿⢬⠀⠀⣸⠋⠀ ⠀⠀⠀⠑⠌⢧⢨⣇⡄⠀⣎⣈⡌⠛⢻⢿⣀⢀⡿⣿⣿⡏⣼⠀⢸⠁⠀⠀ ⠀⠀⠀⠱⡄⢢⡷⡆⠷⣾⣼⣯⣿⣧⣼⣏⠻⢾⣷⠀⢻⣷⢸⠀⠈⣆⠀⠀ ⠀⠀⠀⠀⠘⡏⢀⠔⠉⠉⢉⣻⡧⢌⣿⣎⠾⠜⠻⢴⣿⣿⣸⠀⠀⢹⠀⠀ ⠀⠀⠀⠀⠀⠘⡎⠀⠀⠀⠿⣽⠓⢄⠈⠀⠀⠀⠀⠀⠉⠻⣛⠒⢤⢸⡇⠀ ⠀⠀⠀⠀⠀⠀⡟⡆⠀⠀⠸⠘⠄⠘⠀⠀⠀⠀⠀⠀⠀⠀⠈⠳⡀⣹⡇⠀ ⠀⠀⠀⠀⠀⢀⠀⡟⠆⠀⡐⠃⡄⠁⡆⠀⠀⠀⠀⠐⣶⠒⠒⠒⠋⠋⠀⠀ ⠀⠀⠀⠀⠀⠸⡀⠘⡀⠀⠃⠀⡇⠀⠁⠀⠀⠀⠀⠀⠈⢣⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢷⠀⣡⠀⠀⠀⢰⠀⠀⠀⠀⠀⠀⠀⠀⠀⣇⡀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠈⠙⢿⣄⠀⠀⠈⠆⠀⠀⠀⠀⠀⠀⠀⣠⠛⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⡟⠀⠀⠀⠸⡀⠀⠀⠀⠈⣦⡖⠁⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⡠⢇⠀⠀⠀⠀⠇⠀⠀⢀⠔⠹⡇⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢀⣀⠀⢀⡾⠃⠙⡀⠀⠀⠀⠀⠀⣠⠃⠀⠀⠙⠲⣤⣠⣄⣀⠀⠀ ⠐⠉⠀⠀⠀⠀⡿⠀⠀⠀⠱⠀⠀⠀⠀⡐⠁⠀⠀⠀⠀⠑⠣⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⡌⠁⠀⠀⠀⠀⠆⠀⠀⡰⠀⠀⠀⠀⠀⠀⠀⠀⢣⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⡀⠀⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢱⣶⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⡷⢄⣄⠀⠀⠀⠀⠀⠀⠀⢻⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡠⠴⡆ ⠀⠀⠰⠀⠀⠑⢑⣄⠀⠀⠀⠀⠀⣨⣿⣇⢀⡀⠀⠀⢀⡀⠄⠂⠋⠀⠀⠀ ⠀⢀⠀⠀⠀⠀⠀⣈⡩⠤⠤⠤⠴⠿⠟⠛⠷⠶⢶⣒⠶⠤⣀⡀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⡀⠀⠀⠀⡆⠀⠀⢀⠄⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠀⢢⡀⣰⣷⣴⠖⠛⠂⠀⠄⡀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⢠⠀⠀⣸⡿⠿⠿⠿⢿⣶⣦⣀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⠀⣰⣏⣠⣄⣀⠀⠀⠉⠻⣿⣷⣄⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⢸⣷⣿⣿⣿⣿⣿⣿⣦⡀⠀⠘⢿⣿⣆⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⡄⠀⠀⠀⠀⠀⣾⣿⠏⢹⣿⣿⣿⣿⣿⣷⡄⠀⠘⣿⣿⡄ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠑⡄⠀⡀⣰⣿⡏⠀⢸⣿⣿⣿⣿⣿⣿⣷⠀⠀⢹⣿⣧ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡸⢺⣴⡿⠏⠀⠀⠘⠟⠛⠛⠛⣿⣿⣿⡀⠀⢸⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⡠⠁⢸⠇⠀⠀⠀⠀⠀⠀⠀⣠⣾⣿⣿⣿⠁⠀⢸⣿⣿ ⠀⠀⠀⠀⠀⢀⣀⠄⠊⠀⢀⣿⡄⠀⠀⠀⠀⠀⣴⣿⣿⣿⣿⣿⣿⠀⠀⢸⣿⣿ ⠀⠀⠀⠀⢀⠜⠀⠀⠀⠀⣾⣿⠇⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⡇⠀⢀⣿⣿⡏ ⠀⠀⣀⡔⠁⠀⠀⠀⠀⢠⣿⡏⠀⢀⣴⣄⠀⠀⢿⣿⣿⣿⣿⡟⠀⠀⣼⣿⣿⠇ ⠈⠉⠉⠑⠲⠀⠀⠒⢶⣾⣿⢁⣴⣿⣿⣿⣷⣄⢸⣿⣿⣿⡿⠁⠀⣰⣿⣿⡿⠀ ⠀⠀⠀⠀⠀⠡⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏⠀⠀⣰⣿⣿⣿⠁⠀ ⠀⠀⠀⠀⠀⠀⠁⢲⣿⠙⢿⣿⣿⣿⣿⣿⣿⣿⡿⠟⠁⠀⢀⣾⣿⣿⣿⠃⠀⠀ ⠐⠒⠒⠢⡀⠀⠀⢈⣿⡀⠀⠉⠛⠛⠛⠛⠛⠉⠀⠀⢀⣴⣿⣿⣿⡿⠁⠀⠀⠀ ⠀⠀⠀⠀⠈⠑⠖⠛⣿⣿⣶⣄⣀⠀⠀⠀⣀⣀⣤⣾⣿⣿⣿⣿⠏⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⡟⠛⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠋⠁⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠤⠔⠁⠀⠀⠀⠙⢍⡻⠿⠿⠛⠛⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠄⠀⠀⠀⠀⠀⠀⠀⠙⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⣠⣶⣶⣶⣦⠀⠀ ⠀⠀⣠⣤⣤⣄⣀⣾⣿⠟⠛⠻⢿⣷⠀ ⢰⣿⡿⠛⠙⠻⣿⣿⠁⠀⠀⠀⣶⢿⡇ ⢿⣿⣇⠀⠀⠀⠈⠏⠀⠀⠀ text here ⠀⠻⣿⣷⣦⣤⣀⠀⠀⠀⠀⣾⡿⠃⠀ ⠀⠀⠀⠀⠉⠉⠻⣿⣄⣴⣿⠟⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣿⡿⠟⠁⠀⠀⠀⠀

⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⡠⢺⢡⠃⡜⢀⠀⢀⢾⢠⡀⠀⢇⠀⠀⣶⡀⠱⡄⠀⠀⢣⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿ ⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⡜⣱⡟⢡⢴⠃⡇⠀⣌⣀⣮⡧⠀⢸⠀⣄⣹⣃⠰⡰⣤⢀⠘⣧⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿ ⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⡷⢹⢠⣧⣼⣸⡇⣸⣅⣀⡘⠛⠒⠚⠳⠖⣘⣩⠶⠧⠚⡿⠀⠛⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿ ⣿⣿⣿⣿⡇⠀⠀⠀⠀⠶⣇⢸⣸⠃⡜⢻⢿⣿⠁⠈⢹⡇⠀⠀⣴⠟⠉⢹⣷⣶⠆⣱⣲⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿ ⣿⣿⣿⣿⡇⠀⠀⠀⠀⢸⠛⣏⣿⠛⣷⠘⡅⠘⠖⠐⠊⠀⠀⡄⠘⠂⠤⠾⠋⡀⢀⡿⡏⡐⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿ ⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⣻⡏⣸⢏⢙⡄⠑⡄⢣⠀⠀⠀⠀⠁⠀⠀⠀⢀⡷⠁⣸⡇⠻⣿⣻⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿ ⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⢙⢈⡏⢰⠙⣵⡀⣈⠺⣧⡀⠀⠀⠀⠀⢀⣴⣾⠇⣰⣧⡿⠑⡼⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿ ⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠘⣾⢣⠘⣷⢿⣳⡌⢦⣈⡿⠢⠤⠒⢺⠋⠏⣿⣔⡱⠯⣀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿ ⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠈⠁⠑⠧⠤⠷⠈⢻⣏⢁⠀⠀⠀⠊⠏⠛⠉⠁⠀⠀⠀⢣⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿ ⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣀⣠⠔⠋⠈⠈⢦⠀⠀⢃⡠⠂⠀⠀⠀⠀⠀⠀⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿ ⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠰⠁⠀⠀⠀⠀⠀⠀⠈⠉⠑⠣⣄⠏⠀⠀⠀⠀⠀⠑⠦⠄⣸⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿ ⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠒⢄⡀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿ ⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠸⡀⠀⠀⠀⡾⠀⠀⠀⠀⠀⠀⠠⢄⡎⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢄⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿ ⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠱⡀⠀⢠⠃⠀⠀⠀⠀⠀⠀⠀⠀⢡⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⡆⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿ ⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠱⣠⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢱⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿ ⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⠇⠀⠀⠀⠀⠀⣿⣿⣿⣿ ⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢣⠀⠀⠀⠀⠀⠀⠀⠀⠀⡠⠊⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿ ⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⢇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠌⠑⠤⢄⣀⣀⣀⠠⠄⠊⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿ ⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⢈⣆⡀⠀⠀⣀⡀⠀⠀⠀⢀⡠⠊⣀⢤⡀⠀⠀⠀⠀⠀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠶⢤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢀⣀⡀⠀⢀⣠⣤⣴⣶⣶⡦⠤⢤⣤⣀⣀⣼⠀⠀⡽⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠈⠫⣯⠙⡟⢿⣿⣿⡿⠁⠀⢠⣾⣿⣿⣿⡿⠀⠀⢹⠘⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⣼⣿⣷⣧⡀⢱⠈⠀⠀⠀⣿⣿⣿⣿⣿⡀⠀⠀⢸⠀⢳⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⣼⣿⣿⣿⣿⣿⣿⡄⢀⣀⣠⣿⣿⣿⠿⢿⣷⣤⡀⠈⠀⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢠⣿⣿⣿⣿⣿⣿⠿⠛⠉⠉⠀⡇⣾⣿⣦⣀⣿⡄⠀⠀⢰⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⣿⣿⣿⠿⢯⣷⢄⠀⠀⠀⠀⡄⢻⣿⣯⣻⣿⡧⠄⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠘⣿⠟⠁⠀⠚⢻⣦⣱⣄⠀⠀⢣⠈⠛⣽⣿⠿⠭⠀⣠⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⡤⠶⠶⠶⠶⢤⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠁⠀⠀⠀⠀⠀⠻⣿⣿⠀⠀⠈⠂⠀⠀⢀⣄⣠⣴⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠶⠋⠁⠀⠀⠀⠀⠀⠀⠀⠉⠳⢦⡀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣸⠋⠄⢠⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀⡴⠃⠀⣠⣤⣶⣶⣾⣶⣶⣦⣄⠀⠀⠀⠹⣆⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠈⠲⠴⠯⠤⠤⢶⢾⣿⣿⣿⣿⣿⠏⠷⣄⢀⣀⣀⣀⡀⣼⣠⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡀⠀⠀⠸⣧⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠏⠈⠉⣡⣾⣿⠏⠀⢰⣿⠉⣩⠀⠉⢙⣿⡿⠛⠉⠉⠙⠛⢿⣿⣿⣿⣿⣿⣿⣷⠀⠀⠀⢻⣇⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡟⠀⠀⣿⣿⡿⠋⠀⢀⣾⡿⠀⣉⣀⣇⠘⠋⣿⠀⠀⠀⠀⠀⠀⠙⣿⣿⣿⣿⣿⣿⡆⠀⠀⢸⣿⡆⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠃⠀⠀⠘⢯⡀⠀⢀⣾⣿⠇⣴⠨⣿⣿⡯⠀⢸⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⣿⣿⡇⠀⠀⢸⣿⣷⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⡆⠀⠀⠀⠈⠻⢦⣾⣿⠏⠀⠈⢈⣝⡟⠁⣶⣾⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⣿⣿⣿⡇⠀⠀⢸⣿⣿⡀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⡀⢄⣀⡀⠀⠀⠉⠁⠀⠰⣄⠀⠁⠀⠀⢀⡏⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣿⣿⣿⠃⠀⠀⣸⣿⣿⡇ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢷⡀⢹⠁⠀⢠⠶⠤⠤⢴⡾⢦⡀⠀⠀⣼⠦⡄⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⠀⠀⠀⣿⣿⣿⠇ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣷⠇⠀⠀⢸⡄⠀⠀⠀⠙⢆⠙⢦⡀⠀⠀⠙⣦⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⡇⠀⠀⢰⣿⡿⠋⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡟⠀⠀⠀⡟⢻⡀⠀⠀⠀⠈⢳⡀⢳⡀⠀⠀⠈⢧⡀⠀⠀⠀⠀⠀⣿⣿⣿⠁⠀⢀⣼⠟⠁⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡞⠀⠀⠀⠀⡇⠀⢧⠀⠀⠀⠀⠀⢷⠀⢳⠀⠀⠀⠈⢧⠀⠀⠀⠀⢀⣿⣿⡏⢀⣴⠟⠁⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡞⠀⠀⠀⠀⢸⠇⠀⠸⡆⠀⠀⠀⠀⢸⠀⢸⡇⠀⠀⠀⠘⣧⠀⠀⠀⢸⣿⣿⡷⠛⠁⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡞⠀⠀⠀⠀⠀⣾⠀⠀⠀⣧⠀⠀⠀⠀⢸⠀⠀⡇⠀⠀⠀⠀⢸⡆⠀⠀⣿⠿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠎⠀⠀⠀⠀⠀⣰⠇⠀⠀⠀⣿⠀⠀⠀⠀⣏⣀⣸⠇⠀⠀⠀⠀⠀⣷⠀⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⠤⣤⣤⣤⡤⠴⠛⠛⠛⠛⠉⠁⠀⠀⠀⠀⠈⠉⢿⣄⣀⣠⣤⡤⠶⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⢄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠈⢦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⣤⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⠀⠀⠀⢀⣷⠀⡇⠀⠀⢇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⡟⠿⣿⣷⣦⣀⠀⠀⠀⠀⠀⠀⠀⠀⠣⡀⠑⠢⢄⣼⣿⠀⡇⠀⠀⠘⡄⢀⡔⢹⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⡇⠀⢿⣿⣿⣿⣷⣶⣦⣄⠀⠀⠀⠀⠀⠘⢆⠀⠀⠈⠛⠴⣱⠀⠀⠀⢱⠊⠀⡸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠸⡄⠈⣿⣿⣄⠙⢿⣿⣿⣷⣄⠀⠀⠀⠀⠀⠑⡄⠀⠀⠀⠀⠀⠀⠀⠘⠀⢀⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠱⡀⠘⣿⣿⣄⠈⢿⣿⣿⣿⣷⡀⠀⠀⠀⠀⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠘⢆⠈⢿⣿⣦⠀⢻⣿⣿⣿⣿⣆⠀⠀⢀⣿⠀⠀⡠⡄⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠑⢄⠻⣿⣷⡀⠙⣿⣿⣿⣿⣆⠀⢸⣿⣄⠀⠟⠿⣆⠀⠀⠀⢠⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠑⢌⠻⡿⠒⠚⠛⠛⠿⣿⠆⢚⠝⠉⠑⣪⠭⣈⠀⣠⠔⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⡄⠀⠀⠀⠀⠀⠘⡄⠈⢆⠀⠀⢇⠛⠫⠉⠉⠉⠑⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢨⠇⠀⣠⣀⣀⢜⠀⠀⠈⢂⠀⡸⠀⡦⠃⡀⠰⡎⠀⠀⠀⠀⠀⠀⠀⢀⣀⠤⠤⠤⠤⠤⠄⣀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣠⣤⣶⣿⣃⣴⣿⣿⡟⢏⠁⠀⠀⠀⠈⠢⠃⠀⡏⠉⠑⠢⣈⢢⣀⣠⠐⠒⡶⠒⢉⠔⠒⢄⠀⠀⠀⠀⠀⠑⠢⡀⠀⠀ ⠀⡠⠊⠉⠀⠉⠙⢿⣅⢀⣾⣿⡿⠋⣰⣿⡷⠢⡀⠀⠀⠀⣴⣎⠳⠀⠀⠀⠀⠳⠤⢽⡀⠀⠀⠀⡸⣼⡇⢸⠀⠀⠀⠀⠀⠀⠀⠈⠢⡀ ⣰⠁⠀⠀⠀⢀⠊⡲⡹⣿⠟⢋⣤⣾⡿⠋⠀⢀⡇⠀⠀⠀⢾⣿⣶⠀⠀⠀⠀⠀⠀⠀⠙⢦⡀⠀⠸⠌⠤⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⢱ ⡇⠀⠀⠀⠀⠈⡼⣿⢱⢣⣴⣿⠟⢋⣀⠤⣠⣾⣿⣿⣷⣶⣼⣿⣿⣍⠉⠉⠑⡄⠀⠀⠀⠀⠱⡤⠋⠱⣆⠀⠀⢠⠤⠤⠄⣀⠀⠀⠀⢸ ⡇⠀⠀⠀⠀⠀⠙⠤⠎⢸⠉⠀⡊⠁⠀⠀⠀⠘⡌⢟⠛⠻⠿⣿⡿⠙⡧⡀⣼⠁⠀⠀⠀⠀⠀⢣⠀⠀⣿⣧⣀⣾⡀⠀⠀⠈⢆⢀⡴⠃ ⢧⠀⠀⠀⠀⠀⢀⠀⢸⢺⠀⠀⠑⢄⠀⠀⠀⣠⠃⠀⠣⣄⣀⡀⠀⢀⡇⢣⠀⠑⣄⠀⠀⠀⠀⠈⢆⠀⠈⠻⢿⣿⣿⣦⣄⠀⠀⠁⠀⠀ ⠈⡆⠀⠀⠀⣰⣿⣧⠂⡎⠀⠀⠀⠇⠀⡴⢫⡀⠀⠀⠀⠈⢿⣿⣷⣾⡇⢸⠑⢄⠈⠢⡀⠀⠀⠀⠀⠑⠢⠤⣀⡤⠭⠍⠋⠀⠀⠀⠀⠀ ⠀⠈⢦⣀⡠⡿⠿⠇⡰⠀⠀⠀⡜⠀⡰⠁⠀⠑⣄⠀⠀⠀⠀⠈⠻⠿⠁⢸⠀⠀⠱⡤⣱⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠈⠉⠉⠀⠀⣠⢴⢁⡜⠁⠀⠀⠀⠈⠓⢄⡀⠀⠀⠀⠀⢠⠃⠀⠀⠀⡇⠀⠀⠑⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣠⠚⠁⠘⠋⡇⠀⠀⠀⠀⠀⠀⠀⠉⠒⠤⠤⠔⠁⠀⠀⠀⠀⡇⠀⠀⠀⠈⢆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢀⠜⠁⠀⠀⠀⢰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢇⠀⠀⠀⠀⠈⢆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⠎⠀⠀⠀⠀⢀⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⡀⠀⠀⠀⠀⠈⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⡘⠀⠀⠀⠀⠀⡜⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣷⡀⠀⠀⢀⣤⣰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⡜⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠢⢀⣿⣿⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣧⣶⣇⣠⠎⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢿⡿⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠏⣉⠋⠙⠛⠳⠦⣤⣤⣤⣤⣤⣤⣀⣀⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣏⣼⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠁⣄⠈⠉⠋⠉⠛⠛⠶⠖⠶⠶⣤⣄⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⠟⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣷⣦⠀⠀⠀⠀⠀⠀⠀⠘⢶⡈⠳⣄⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⣿⣷⠀⠀⠀⠀⠀⠀⠀⠈⢿⣦⡈⠳⣄⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⡄⠀⠀⠀⣀⡀⠀⠀⠀⢿⣧⠀⠈⠳⣄⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠛⠄⠀⠀⠉⠉⠀⠀⠀⠘⢿⠀⠀⠀⠙⢦ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢾⢁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⡘⣷⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⠀⠀⠀⠀⠀⣰⣿⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⠁⠀⠀⠀⠀⠀⢀⣠⣴⣿⣷⣶⣶⣶⡶⠖⠢⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠶⠶⠿⠿⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⡏⠉⠁⠀⠀⠀⠀⠀⣴⣿⠟⠛⠛⠛⠛⠿⠛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢠⠇⠀⠀⠀⠀⠀⠀⠀⠱⣦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣠⢃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⡹⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣠⣿⠟⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢀⣾⣿⣿⣶⣦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣍⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠹⣿⣿⣿⣿⣿⠟⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⡿⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠈⠛⢿⣿⣭⣤⣄⣀⣀⠀⠀⢀⣴⣿⠟⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢀⢈⠉⠉⢛⡛⠷⠀⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢘⡇⠀⠀⢀⣀⣤⣀⣀⠀⠀⠀⠀⠀⣀⣠⣄⣀⡀⠀⠀⠀⠀⣠⣶⣤⣦⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢘⡇⠀⣾⣿⡿⡿⢿⣿⣿⣆⣀⣴⣿⣿⠿⣿⣿⣿⡆⠀⢠⣾⣿⣿⠿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢘⡇⠀⠿⣿⣿⣶⣦⣭⣉⠉⠉⢉⣿⣷⣶⣶⣿⣿⣿⠐⣿⣿⣿⠀⠀⠈⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢈⡇⢰⣶⣿⣍⠙⠛⣿⣿⣷⣠⣿⣿⡏⠉⣉⣿⣿⣿⠀⢿⣿⣿⣄⠀⣠⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣧⠀⠻⢿⣿⣿⣿⣿⠿⠃⠀⠻⢿⣿⣿⣿⣿⣿⣿⠀⠈⠻⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡄⠀⠀⢀⣄⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠤⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

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⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣠⣀⣀⣀⣀⢀⣴⣦⠀⢀⠀⣀⣘⣿⠂⠀⠠⣀⣀⠀⢤⣤⣤⣤⣤⣤⠀⣭⡄⠈⠉⠛⠹⠿⠿⠿⠿⠷⠾⠏⠛⠏⢻⡿⠿⢿⡿⢿⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⠋⣠⡌⢥⣌⠁⠀⠀⠀⡐⠠⣍⠒⠤⢿⠷⢸⣿⣿⣿⣿⣿⣤⣷⣌⠀⣤⣀⡤⢀⣀⣀⣀⣀⡀⢀⣀⣈⣼⣁⣤⣸⣿⣿⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠃⢀⣐⢰⠾⠋⢠⣤⡴⠞⣛⡛⠀⠸⣷⣾⣿⣿⣦⡑⠈⢿⡿⠿⣿⣿⣿⣿⣿⣿⡯⣿⣿⣿⣥⣥⣿⣈⣽⣸⣭⣭⣬⣭⣭⣽⣿⣿⠀ ⠀⠈⠉⠉⠉⠉⠁⠉⠉⠉⠋⠁⠀⠀⠀⠀⢀⣴⣏⣿⠿⠖⣡⠟⣩⣴⣿⣿⡿⠗⠀⠿⣿⠿⣿⣿⠿⣌⡂⠘⠦⣰⣶⣶⣶⣶⣶⡄⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀ ⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⠀⠀⠀⠛⢡⡆⠀⠂⠀⠡⣾⠿⠿⢋⣥⠆⠀⣶⡀⠹⣆⢻⣿⣷⡜⣿⣷⣄⠹⣿⣿⣿⣿⣿⡇⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀ ⠀⣀⣀⢀⠀⣀⣀⣀⣀⣠⣤⣄⡀⠀⣀⡙⠓⠀⠁⠀⠀⣠⣤⠀⢠⣶⠟⠋⢀⣼⣿⠃⡄⣿⡆⢻⣿⣷⡸⣿⣿⡄⢹⣿⣿⣿⣿⣧⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⢠⣿⠀⠆⠀⠆⠀⣰⡟⠀⣤⡤⠀⢀⣀⣚⡛⠛⣰⣿⢸⣿⠘⣿⣿⡇⢹⣿⡄⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⣸⢋⡶⠀⣤⡀⣀⡿⠁⠐⠒⠶⣶⣟⣛⣻⡟⢠⣿⠏⣾⡏⠀⣹⣿⡇⢸⣿⡇⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⢀⣿⣸⠃⢸⣿⣧⡿⢧⣷⠠⠀⠀⠀⢌⠙⣿⡇⣿⡿⢠⡿⠁⠆⣿⣿⢣⣾⣿⠇⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀ ⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠃⠃⠈⣿⣿⠀⠘⣏⠻⠀⠸⣿⣷⣿⣿⣷⣶⣿⣿⣧⠘⢁⣿⠀⠞⣸⡿⢃⡼⣿⣿⠀⠀⠛⠛⠛⠛⠛⠛⠛⠛⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀ ⡆⠀⠀⠀⠀⠀⣶⣶⡶⠶⣶⡀⠀⠸⢻⠀⡀⣌⠛⢇⢱⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⢨⠀⠀⣾⠟⣡⡿⢣⣿⠁⠀⠀⠀⠀⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀ ⠃⠀⠀⠀⠀⣴⢻⣿⣤⣾⣿⣷⡆⠀⠈⠣⠀⢸⣧⠘⢾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣤⡼⠋⣰⠞⠁⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀ ⠠⠀⠀⣄⡾⢁⠎⣸⣿⣿⣿⣿⣿⡄⢠⠀⠀⠘⢿⡇⠀⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⣀⣠⣶⣿⠀⠑⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀ ⡆⠀⣰⣿⣷⣟⣰⣿⣿⣿⣿⣿⣿⣿⣴⡀⠀⠀⠈⠇⢸⣷⣌⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠁⢀⣤⣾⣿⣿⡿⣿⣇⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀ ⡇⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠛⠛⠛⠀⠂⠀⠀⣸⣿⣿⣷⣄⣙⠻⠿⠿⠟⠛⣉⣤⣶⣿⣿⣿⣿⣿⣿⣧⡈⣿⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀ ⡇⢸⣿⣿⣿⣿⣿⣿⣿⣿⠟⣡⣶⣿⣿⣿⣷⣶⣄⡀⠿⢿⣿⣿⣿⣿⣷⡆⠀⠿⠾⠿⠿⠿⠿⠿⠿⠿⠿⢿⣿⡇⣿⠀⠀⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀ ⣁⣾⣿⣿⣿⣿⣿⣿⡿⢁⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⣤⣭⣝⣛⣻⠇⢐⣒⣂⣤⣴⣶⣿⣿⣿⣿⣶⣄⡙⠇⢘⣀⠀⢸⡇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⡇⢸⣿⣿⣿⣿⣿⣿⣿⡟⠺⢛⣿⣿⣿⣷⣶⣶⣶⣶⣤⣬⣙⠻⢿⣿⣟⣣⣭⣭⣭⣝⣛⡄⠈⠛⢷⣬⡇⣿⣿⣿⣿⣿⣿⣿⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⠀⣿⣿⣿⣿⣿⣿⣿⣿⠇⣴⣿⣿⣿⣿⣿⣿⣿⡿⢿⣿⣿⣿⣿⣦⡙⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣌⡙⠇⢸⣿⣿⣿⣿⣿⣿⣿⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⡀⢿⣿⣿⣿⣿⣿⣿⡏⢸⣿⣿⣿⣿⣿⣿⣿⣷⡀⢈⣿⣿⣿⣿⣿⣿⣌⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢦⠘⠿⠈⣿⣿⣿⣿⣿⡄⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣧⠸⣿⣿⣿⣿⣿⣿⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⡌⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⣦⠀⠀⣿⣿⣿⣿⣿⣇⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⢻⣿⣿⣿⣿⣿⡄⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀ ⣿⣿⣿⣿⣿⣿⣿⠛⠁⠀⡘⣿⣿⣿⣿⣿⣷⡘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏⠐⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀ ⣿⣿⣿⣿⣿⣿⡏⠀⠀⠠⠁⢹⣿⣿⣿⣿⣿⣷⡈⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠛⣉⣴⣷⣦⡹⢿⣿⣿⣿⣿⣿⣿⣿⣿⡟⢠⡀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀ ⣿⣿⣿⣿⣿⣿⡇⠀⠄⠠⠀⠈⣿⣿⣿⣿⣿⣿⡇⢳⣬⣙⠛⠛⠛⠛⣛⣛⣩⣥⣴⣾⣿⣿⣿⣿⣿⣿⣦⡙⠿⣿⣿⣿⣿⣿⡟⢁⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀ ⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⣧⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⡄⠛⠛⢋⣡⣴⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⠀⠀⢁⠀⠀⠈⣿⣿⣿⣿⣿⣿⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⢰⣶⣿⣿⣿⡄⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⠀⣼⣿⠀ ⣿⣿⣿⣿⣿⣿⣿⠀⠈⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⠀⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢹⣿⣿⡇⠘⣿⣿⣿⣿⡇⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⢰⣿⣿⠀ ⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠈⣿⣿⣿⣿⣿⣶⡀⠁⠛⢋⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣷⠀⠙⣿⣿⣿⡇⣿⣿⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠘⣿⣿⠀ ⣿⣿⣿⣿⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀⢹⣿⣿⣿⣿⡇⠀⢀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⡘⢿⣿⡇⣿⣿⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⣿⣿⠀ ⣿⣿⣿⣿⣿⣿⣿⠁⠀⠈⠂⠀⠀⢀⢰⣿⣿⣿⣿⠏⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⡙⠇⢸⣿⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀ ⣿⣿⣿⣿⣿⣿⣿⠄⠀⠀⠂⠠⣦⣉⢸⣿⣿⣿⠏⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⡘⢿⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠛⣿⣿⠀ ⣿⣿⣿⣿⣿⣿⣿⠀⢸⣃⣰⡷⠉⠁⠈⣿⣿⡏⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⡀⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⠀ ⣿⣿⣿⣿⣿⣿⣿⠀⠈⢻⣦⡀⠀⠀⠤⠨⣿⢣⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠷⣌⢿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⣿⠀ ⣿⣿⣿⣿⣿⣿⣿⣆⣀⣀⣠⣀⣠⣄⣤⡀⢋⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡸⣄⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⣿⣿⣿⣿⣿⡆⢻⣿⠋⣿⣿⣿⣿⣿⣿⣿⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⣰⣿⣿⣿⣿⣿⣿⡆⢻⡆⣿⣿⣿⣿⣿⣿⣿⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣬⡛⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⢰⣿⣿⣿⣿⣿⣿⣿⣿⡆⠃⢻⣿⣿⣿⣿⡏⣿⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⣙⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢱⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⢸⣿⣿⣿⣿⡇⣿⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⡌⢻⣿⣿⣿⣿⣿⣿⣿⣿⡃⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠸⣿⣿⣿⣿⣇⢻⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⡘⢿⣿⣿⣿⣿⣿⣿⢃⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⣿⣿⣿⣿⡗⠠⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⢻⣿⣿⣿⣿⡿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⣿⣿⣿⣿⣿⣼⠀ ⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⠙⣿⣿⠋⠁⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⠀ ⣇⠹⣿⣄⠙⢿⣿⣿⣿⠟⠛⠻⣿⣿⡆⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣄⠙⣁⣁⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀ ⣿⣧⡘⢿⣷⣾⣿⡿⠿⠀⠀⠀⣿⣿⣿⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⢿⣭⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀ ⣿⣿⣿⣶⣿⣿⣿⣿⠀⠀⠀⡆⣿⣿⣿⣧⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠈⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀

⠀⠀⠀⠒⠒⠒⠒⠒⣺⣟⣩⡩⠛⣻⣶⣖⡒⠒⠀⠀⠀⠀⠀⠄⠤⠀⠨⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⢀⡸⣜⡹⣥⠶⣉⣍⢸⣷⡝⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿ ⢐⣆⠀⠀⠀⠤⢸⣿⣿⢋⣩⣿⡞⢻⣦⣿⣿⣾⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻ ⠘⠀⠁⠢⡠⠤⣼⢿⣧⠀⠙⠉⢳⣿⠿⠿⢿⣿⣷⡙⢄⠀⠀⠀⠀⠀⠀⠀⠀⢸ ⡆⠀⠀⠀⠈⠑⢥⣛⣿⣄⣠⠀⢨⠃⠀⠀⠀⢈⣻⣿⣿⣷⣄⡀⠀⠀⠀⠀⠀⠈ ⠁⠀⢠⢀⡰⣿⢏⢈⣿⣷⣦⣴⣿⠆⠀⢠⡾⣋⣽⣿⣿⣿⣿⡿⠶⣤⣀⠀⠀⠀ ⢔⡟⠱⠈⢶⠡⣣⡾⠿⠿⠿⢻⠃⠀⢳⣼⣴⣧⣈⣿⣿⢿⣿⣿⣦⠆⠩⠉⠀⠄ ⠁⣇⠰⣀⠞⡉⠤⠒⠀⠀⠀⠸⣧⡀⠀⠉⢿⣿⣿⣿⣳⣿⣿⣿⣿⣷⣄⠂⢀⡀ ⠖⣊⡶⠋⠀⠀⠀⠀⠀⠀⠀⠀⠬⠓⡄⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⡟⠄⢸⣤ ⢼⡏⠀⠀⠀⠀⠀⠀⠀⢀⣠⠊⢀⡸⢃⠆⠀⠈⣿⣿⣿⣿⣿⣿⣿⠛⠀⠀⣿⣿ ⢾⡀⠀⠀⠀⠀⠀⠀⣀⡼⠁⠀⠀⠀⠈⣀⡀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣦⢼⣿⣿ ⠘⣧⡄⠀⠀⣠⠴⠊⠉⠀⠀⠀⠀⠀⠀⠀⠈⠙⠻⠿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀ ⠀⠈⢻⡿⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣶⠀⠀⠀⠉⠙⠻⣟⣿⣿⡄⠀ ⠀⢠⡟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠙⣿⣿⡀ ⠀⡞⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⠀⣼⡟⡆⠀⠀⠀⠀⠀⠀⠀⠛⢟⣧ ⢰⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣉⡵⣿⢙⡏⠹⣷⡂⡀⠀⠀⠀⠀⠀⠀⠘⠿ ⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣴⢾⢿⡏⠇⢸⢀⣇⠘⣦⠈⠢⠀⠀⠀⠀⠀⠀⢰ ⣀⠀⠀⠀⠀⠀⠀⠀⣠⡮⠋⢡⣾⣿⢠⢣⠀⡾⠘⣄⣿⡄⠠⡀⠀⠀⠀⢀⣤⣼ ⣿⡄⠀⠀⠀⠀⢀⢮⠏⠠⠴⢿⣿⣿⠃⡸⠸⡇⠀⣼⣿⣷⡈⢗⣄⣀⣤⣾⣿⣿ ⣿⣷⣤⣄⡀⠀⠈⠊⠀⠀⢐⣿⣿⣿⢀⣇⣷⡇⢾⣟⣿⣿⣷⣾⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣷⣶⣶⣿⣿⣿⣿⢏⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⢿⠿⣿⠟⢻⣿⣿⣿⣿⣿⣿⣿⡿⠟⠙⢿⣿⣿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿

⢀⡴⠻⣿⡻⡉⣴⣏⣀⣴⣿⠿⠿⢓⠟⣿⣿⢟⢿⣿⠁⡀⡄⢰⠀⢳⡆⢒⡀⠀ ⣿⠏⢑⣮⢕⣜⣏⡴⣫⡟⠀⢀⣰⡏⣼⠟⡼⠋⠘⠏⠰⡀⡇⣇⠃⠘⣷⠈⣄⢀ ⣟⣴⡿⢩⣿⣿⡿⢿⡟⢀⣴⣿⣟⠜⠿⣶⣄⡀⠀⢧⢰⠁⠀⡏⡄⢀⠃⣧⢨⢢ ⣿⣟⡴⠛⡿⠃⠀⣞⣴⣿⡿⣻⠋⠀⠀⠀⠉⠻⣶⣍⡈⡆⠀⣿⡀⢸⡀⢺⣮⡆ ⣿⡟⢁⣼⣅⣀⣼⡿⠻⠋⡴⠁⠀⠀⠀⠈⠉⠐⢸⠙⢣⣿⡄⢿⣧⠘⣷⣸⣿⣿ ⣿⣿⡉⠉⢻⡟⠿⣦⡀⠈⠀⠀⠀⠀⡐⣒⡀⠤⠄⠂⠈⡏⢻⣾⠻⡆⣿⣿⣿⣿ ⢸⡇⢁⠂⠒⠹⠿⠉⠀⠀⠀⠀⠀⠀⠛⠻⣟⠿⠿⣷⣶⣼⠀⠹⣶⣿⣿⠟⠛⢿ ⠋⢯⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠹⠟⡛⠋⠀⢙⣷⣄⡿⢻⢿⠂⠀⢸ ⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢡⠀⢉⠉⠊⡧⢃⠏⢅⡤⢸ ⠀⠰⠀⠀⠀⠀⢠⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠈⠀⠠⡱⠉⠜⢊⣤⡿ ⢄⠀⢡⡀⠀⠀⠈⣿⣿⠓⡐⠂⠤⢤⡄⠀⠀⠀⠀⠀⠀⠀⢀⣔⡀⣤⣾⣿⢿⠂ ⠁⠓⢤⠈⢄⠀⠀⠏⢹⡀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠔⠉⠀⡸⠉⣿⠟⠁⢸ ⠀⠀⠀⠡⡰⠱⣬⠘⠢⡙⡦⠒⠹⢖⠋⠀⢀⠠⠔⠊⡀⠀⠀⠆⢤⠾⠁⠀⠀⣨ ⠀⠀⠀⠀⡇⠀⠸⣦⡀⡇⢤⢤⣤⣶⡂⠋⠀⠀⠀⠀⠐⠄⣠⡼⡬⢔⢄⢀⠔⠁ ⠀⠀⠀⠠⢃⠀⠀⣧⢳⠀⠘⡞⢺⢨⣍⣒⣀⠄⠀⢠⡶⠛⠓⠂⠂⠀⠀⡿⢇⠀

⠀⠀⣄⠎⢡⢻⢰⠀⠀⠀⠀⢠⠀⠀⠀⡇⢸⠘⡜⣄⠈⢶⣛⡇⠀⠀⠀⡇⠈⠀ ⠀⢠⡏⢠⠃⠀⢸⡀⠀⠀⠀⢸⠀⢠⣦⣵⣸⣀⡑⡜⢆⠀⠀⠁⠀⠘⠀⡇⠀⢠ ⠀⢸⢠⢇⣠⢼⢿⡻⡀⠀⠀⢸⡆⠀⠋⢻⣿⠉⠉⠉⠻⡣⣄⡁⡀⠇⠀⡇⠀⠸ ⡀⢸⢸⠋⠀⠘⣸⣻⢣⡀⠀⠸⣵⠀⣶⣭⣿⣶⣶⣶⣦⣽⣦⡆⠛⠀⢳⡇⡠⠔ ⡇⢸⡉⢠⣼⣶⣿⣮⣇⣳⣀⣠⠇⢳⣿⠿⣿⢅⡼⠿⠀⢨⡿⡇⠀⠀⢸⢋⣐⡁ ⣧⠸⣿⠛⣧⠈⠷⠿⢻⠁⠄⠀⠀⠀⠱⠤⢬⣍⣁⣀⡤⠏⠀⠇⠀⠀⡈⢳⠰⠀ ⢳⡇⣿⡇⡘⠝⠒⠪⡕⠈⠀⠀⠀⠀⠀⠉⠉⠀⠀⠀⠀⠀⢸⠀⠀⠀⡇⠈⠈⠔ ⢸⣴⠘⡇⠙⠇⠀⠀⠑⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠁⠀⠀⣇⣶⣤⠊ ⠈⣿⣇⢣⠀⠀⠀⠀⠀⠂⢁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⡏⠀⢀⣿⢷⡇⢸⠀ ⠀⢻⣿⠌⢆⠀⠀⠐⢶⣖⠒⠒⠒⣒⢒⣒⣶⠂⠀⠀⢀⡿⠀⠀⡸⡽⣿⠇⡆⠀ ⠀⢸⣻⡆⠘⢧⡀⠀⠘⢳⠋⠀⠀⠀⢁⡽⠃⠀⠀⢌⣼⠁⠀⢠⢳⢱⢻⢠⠀⢠ ⠀⠈⣿⣿⡄⠀⢻⡢⡀⠸⡀⠀⢀⢔⢡⡀⠀⠀⠈⣺⡏⠀⢀⡞⡇⡎⠃⠀⠀⠸ ⠀⠀⠏⣿⣏⣗⡎⢿⡌⣦⡑⠊⠉⠀⢈⣀⣤⠖⣹⡟⠀⡜⡜⡇⣿⠡⠀⠀⢠⠀ ⠀⠀⢸⡇⡷⡯⢵⠈⡞⡇⠈⢲⡖⢸⣿⣿⠋⣐⠟⠀⡰⠱⢁⣣⠇⠀⠀⠀⣾⠀ ⠀⠀⢸⡇⠇⢡⠈⡆⠸⣱⠀⢸⠀⡸⢷⣎⣒⠎⡀⡴⢡⡯⠴⡚⠀⠀⠀⡌⠸⡄

⠀⠈⢢⣄⠀⣆⠀⠀⠀⠀⠀⣤⠀⠀⠀⢦⣀⠉⠻⣿⣷⣦⣀⠀⢉⣉⠉⠉⠉⠙⠛⠛⠒⠒⠒⠶⠶⣶⣤⣤⣤⣤⣤⣄⣀⣀⡀⠀⠀⠀ ⠀⠀⠀⢸⡿⣿⣆⠀⠀⠀⠀⠘⢧⡠⣔⠦⢿⣷⣄⠈⠛⠿⣿⣿⣶⣬⣙⠒⢤⣄⣀⠀⠈⠁⠉⠓⣾⣿⡟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿ ⠀⠀⠀⣿⡿⣞⠻⣦⣿⡳⠋⠻⣌⢿⣾⣷⣦⣬⣿⣷⣦⣴⣾⠟⠿⣿⣿⣿⣿⣦⣍⣉⠁⠐⠂⣼⣿⣿⠀⠀⠀⠀⠀⠀⠐⠀⠀⠀⠀⠀ ⠀⠀⢸⣿⢿⡛⣆⠚⢧⡵⡄⠀⠙⠘⢿⠳⢦⡉⠙⠛⢟⠡⡉⠙⠒⠦⢽⣶⣬⣍⣩⣝⣋⠉⠙⠁⠻⡵⣧⢠⡀⠀⠀⠀⠀⠠⣀⣰⠆⠀ ⠀⠀⣼⡟⠈⣧⠹⣆⠈⠓⣽⣄⠀⠀⠈⢣⡀⠙⠲⢄⡀⠑⢮⣃⣤⣶⣾⣿⣿⡿⠿⠿⣿⠉⠁⠀⠀⠹⣽⣇⢷⡀⠀⠀⣠⣷⣿⡏⠀⠀ ⠀⠀⡏⡇⠀⠘⢧⣿⣦⠀⠀⠘⢦⡀⠀⠀⠙⣄⠀⠀⠾⣿⣿⣿⣿⣿⣿⡿⣿⣷⡦⠀⠃⠀⠀⠀⢀⠀⢻⣿⠘⣷⡀⠠⣿⣿⡟⠀⠀⠀ ⠀⢰⠏⣇⠀⣄⠈⢻⣯⡳⢄⠀⠀⠙⢆⠀⠀⠈⢳⡃⢸⣿⣟⣻⠿⢧⣿⣿⣿⠟⠀⠀⠀⢀⣤⠔⣁⠔⢋⣿⠀⣿⣷⡀⣹⣿⠁⠀⠀⠀ ⠀⣸⠀⣿⣰⠟⠁⠢⢙⣷⡀⠙⢦⣀⠈⠳⣤⣀⣀⠟⠚⠈⠻⡷⠖⢛⡉⠀⠉⠀⠀⣠⠾⠋⡡⠊⠁⢴⠿⣿⠀⢸⣿⣿⣿⣿⠀⠀⠀⠀ ⣾⡏⠀⣿⠁⠀⠀⠦⠀⠈⠻⣄⠀⠈⠓⠦⣄⣽⠣⢄⡀⠀⡎⣀⠔⠋⠀⠀⠀⠀⠈⠀⠀⠈⠀⠀⠐⠁⠀⣻⠀⢸⣿⣿⣿⡏⠀⠀⠀⠀ ⣟⣧⠀⣿⣆⠀⠀⠀⠤⠤⠀⠙⠷⡦⣄⡀⠀⠒⢄⠀⣨⣥⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠞⡟⠀⣾⣿⣿⣿⡇⠀⠀⠀⠀ ⠙⣿⡀⢹⣿⣮⣿⣷⣿⣷⣶⣦⠄⠈⠢⣈⠙⠒⣠⣿⢿⣥⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡸⢇⣤⣿⣿⣿⣿⡇⠀⠀⠀⠀ ⠀⠈⢷⣼⣿⣿⣿⣟⠻⣿⡿⢿⡿⠀⠀⠀⡠⢞⠟⠁⠐⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡰⠁⣿⡿⣿⣿⢃⣾⣿⠀⠀⠀⠀ ⠀⠀⠀⠻⣽⣿⣿⡎⠃⠉⠟⡋⢀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡜⠁⢠⡟⢰⡟⡁⣼⣿⣿⡀⠀⠀⠀ ⠀⠀⠀⠀⠙⢿⣿⣿⡄⠓⠊⢀⡎⠀⠀⠀⡠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠊⠀⢀⠞⠀⡼⢠⠃⢸⡿⣿⣧⠀⠀⠀ ⠀⠀⠀⠀⠀⠈⢻⣿⣷⡄⠀⣾⡡⠊⠀⠊⠀⠀⠀⠀⣀⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡠⠋⠀⢰⠃⣾⠀⢸⠟⠡⠛⡆⠀⠀ ⢀⣶⡇⠀⠀⠀⢰⣿⢹⣇⠀⠀⠀⠀⠀⠀⠀⣠⠖⠉⠀⣀⣤⣼⣿⣷⣶⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡞⡄⡿⡄⢸⡀⠀⠀⠀⠀⠀ ⣿⡿⠁⠀⠀⢠⣿⣿⠸⣿⠀⠀⠀⠀⠀⣤⣾⣧⣤⣴⣮⡙⣿⣿⣿⣿⣿⡟⠀⠙⠢⡀⠀⠀⠀⠀⠀⠀⢠⡇⡇⡇⠱⣼⡇⠀⠀⠀⠀⠂ ⠛⠁⢲⡶⢠⣿⣿⣿⡆⣿⡇⠀⠀⠀⠀⠈⢿⣿⣿⣿⣿⣿⣮⣻⠟⠋⢹⠁⠀⠀⠀⠘⢆⠀⠀⠀⣴⡀⠈⢧⡇⢣⢀⣿⣷⠀⠀⠀⠀⠀ ⠀⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠹⣿⣿⣿⣿⣿⠁⠀⠀⢸⠀⠀⠀⠀⠀⠘⡆⠀⠀⠈⢿⣄⠈⢷⡈⠻⣿⣿⣧⡀⠀⠀⠀ ⠉⣿⣿⣿⣿⣿⣿⣿⢻⣿⣿⣿⣄⠀⠀⠀⠀⣄⡈⢿⣿⣿⡏⠀⠀⠀⡜⠀⠀⠀⠀⠀⢰⡃⠀⠀⠀⠀⠛⢀⣼⣿⣶⣬⣙⣿⣷⡄⠀⠀ ⠀⢹⣿⣿⣿⣿⣿⣿⣿⣿⡿⢿⠉⠓⢄⠀⠀⠈⢷⡀⠙⢿⡇⠀⠀⠀⠀⠀⣀⣠⠔⠚⢤⡑⢄⠀⠀⢀⣴⣿⣿⣿⣿⣿⣿⣿⣿⠿⠂⠀ ⠀⠈⣿⣿⣿⣿⣿⣿⣿⡏⠀⠀⢙⣦⠄⠑⠢⣄⠀⠉⠀⠀⠱⡀⣄⡀⠤⠒⠉⠀⠀⠀⠀⠉⠚⣡⣶⣿⣿⣿⣿⣿⢿⣿⡿⠟⠋⠀⠀⠀ ⠀⠀⠹⣿⡽⣿⣿⣿⣷⢱⠀⠀⠾⠏⠀⠀⠀⠀⠉⠲⢄⡀⠀⢃⠱⡀⠀⠀⠀⠀⠀⠀⢀⡤⠞⠛⠛⠉⠉⠉⠉⠑⠒⠛⠒⠒⠒⠀⠀⠀ ⢠⡄⠈⠹⣧⠘⢿⣿⣿⣎⣇⠀⢀⡀⠤⠐⠦⣄⠀⠀⠀⠈⠑⠺⢄⠱⡀⠀⠀⠀⣠⡴⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠈⠒⢤⡙⣆⠀⡽⠛⠛⠛⠛⠁⠀⠀⠀⠀⠈⠑⠤⣀⠀⠀⠀⠀⠑⡝⢏⠑⠊⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣤⣤⣀⡀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⡄⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣿⠟⠉⠉⢠⡞⠁⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢧⣠⡗⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⠋⢠⠀⠀⣸⠁⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⡏⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢻⡀⠀⡇⢠⣻⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⡾⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⡄⠈⠘⣿⣶⣶⣶⣖⡀ ⠀⠀⠀⠀⢀⡤⣲⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢱⠀⢰⣿⣿⡿⠋⠉⠙ ⠀⠀⠀⣴⣯⣏⣽⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⡆⣼⢿⢻⠀⠀⠀⢀ ⣦⣤⣾⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣁⣿⡊⠀⠀⠀⣠⠞ ⠈⠿⣿⣿⣿⣿⣿⣿⠀⣰⣳⠤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⢈⣷⡏⢇⠀⠀⠀⠀⣿⡇⠁⠀⣠⠟⠁⠀ ⠀⠀⠙⣿⣿⣿⣿⣿⠀⣿⣿⡷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣷⣼⣿⣿⡟⠀⠀⠀⢰⣿⣷⣶⠊⡅⠀⠀⠀ ⡀⠀⢀⠈⢻⣿⣿⣿⣆⠈⠛⠛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠀⠀⠀⠀⣾⣿⣿⠃⡼⠁⣰⠆⠀ ⠹⣄⠀⢧⠀⢻⣿⣿⣿⣷⡀⠀⠀⠀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢳⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡼⣿⣿⠃⡰⠁⢀⡏⠀⢀ ⠀⢻⡄⠘⣆⠀⢻⣿⣿⣿⣯⣦⣀⠀⠀⠀⠀⠀⣠⡴⠀⠀⠀⠀⠀⠀⠈⢿⣔⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⠟⣸⣿⣿⢠⠃⢀⣾⠁⠀⢈ ⡇⠀⢿⠀⢹⡆⠘⣿⣿⣿⣿⣿⣿⣿⣿⡶⠶⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠷⣶⣴⣶⣤⣤⣤⡶⠛⠁⢀⣿⣿⣿⣞⡆⢻⣿⠀⠀⠏ ⣷⠀⢨⠃⢠⣧⠀⢸⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠉⠀⠀⢠⠀⣸⣿⣿⣿⣧⣿⠚⠻⠀⢸⠀ ⡏⠀⡸⠀⡾⠈⢧⣈⣿⣿⣿⣿⣿⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣿⣿⣿⣿⣿⣿⣷⣂⣀⡇⠀ ⢱⡀⢁⡰⠁⠀⠀⢛⡛⣿⣿⣿⣿⣿⣶⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠸⣿⣿⣿⣿⣿⡿⠉⠉⢉⠁⠀

⠀⠀⠀⠀⠀⠀⠀⠀⢾⡄⠀⠘⣷⣸⣷⣄⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⣀⡀⠀⠀⠀⠀⠀⢀⣾⣿⠋⠀⠆⢀⢻⠓⢸⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠈⠳⡀⠀⠘⠿⣿⣿⣧⡀⠀⠀⠀⠺⣏⠉⠀⠀⠈⣹⠗⠀⠀⠀⢀⣾⡿⡿⠀⠀⠀⡸⣼⠀⡜⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠑⡄⠀⠀⠹⠛⠉⠻⠷⣄⠀⠀⠈⠓⢤⡠⠞⠁⠀⠀⣠⣴⡿⠟⢠⠇⠀⠀⢀⣷⣿⣄⡇⠀⢀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠑⢤⡀⠀⠀⠀⠀⠐⠦⣿⣿⣶⣄⠀⠀⠀⠀⣀⣴⣾⠿⠋⠀⠀⣼⡀⠀⢀⣾⡟⠈⣿⣷⡀⢿⡄⠀⠀⢀⣀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠲⢄⡀⠀⠀⠀⠈⠙⠿⠿⣿⣶⡶⠾⠛⠋⠀⠀⠀⠀⢠⠏⠀⣠⠋⡿⠀⢠⣿⣿⢳⡘⣇⠀⠀⣸⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠑⠤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠏⢀⡔⠁⡼⠁⠀⠀⣿⢹⡀⣷⣹⣷⣯⢉⡛ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⢋⡴⠋⠀⡴⠁⠀⠀⠀⣿⣼⡇⠹⣿⣿⠈⠻⣭ ⠀⠀⠐⢦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⠟⠉⠀⠀⠈⠀⠀⠀⠀⠀⡿⢹⡇⠀⢿⣿⣧⠀⠖ ⠀⠀⠀⠀⢹⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡠⠚⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⡇⣿⠁⠀⠀⢹⡇⣇⠀ ⣀⠀⢀⣠⣾⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠊⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⠃⣿⠀⠀⠀⠀⢻⣿⠤ ⡉⡛⠉⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡜⢸⣏⠀⠀⠀⠀⢸⢻⣁ ⡟⠁⢀⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⢁⢇⠃⠀⠀⠀⠀⠈⢿⠹ ⢷⣄⣾⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠃⣞⠀⠀⠀⠀⠀⠀⠀⢸⠀ ⠘⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠎⣼⠏⠀⠀⠀⠀⠀⠀⠀⢸⠀ ⢣⢹⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠎⣸⠃⠀⠀⠀⠀⠀⠀⠀⠀⢸⣖ ⡈⣧⢻⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠋⡼⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿ ⡄⣻⣾⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⡠⢃⡜⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡿ ⡇⠉⢿⡸⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⢀⡜⣡⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⠀ ⢿⡆⠈⢻⢳⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣧⠀⠀⠀⠀⠀⠀⣠⢊⡴⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⠇⣴ ⣿⣿⠀⠈⡎⢧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣆⠀⠀⠀⣠⢞⡴⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣏⣼⢏ ⣬⣿⢿⣦⡸⡄⢳⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⣷⡶⠚⣡⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⡾⢇⡟⢡⡏ ⠙⢿⣄⡙⢷⣿⣄⠻⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣴⣿⡿⠛⢁⡴⠊⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⠋⣠⠞⢀⠏⠁ ⠉⠉⠉⠉⠉⠙⠻⣦⡙⣿⣦⠀⠀⠀⠀⣀⣀⡠⢴⢒⣻⠿⠛⣉⠤⠾⠙⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⠤⠞⠋⠉⠉⠉⠉⠉⠉⠉⠙ ⠉⠉⠉⠉⠉⠉⠉⠉⠉⠛⠿⣷⡿⠿⠯⠴⠖⠒⣋⣩⣴⠶⠭⠤⠤⠴⠶⠾⠦⠤⠼⠶⢒⣒⣞⣉⣉⣁⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠙

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⠀⠀⠀⠀⣿⣅⣿⠟⠷⠛⠋⡳⠋⠁⢀⡴⠚⠛⠺⣷⣄⠀⠈⢢⡢⡀⠀⠀⠀⠀⠀⠀⠀⠀⠂⡀⠀⠱⡀⠹⡖⠤⣀⠀⠑⠢⡀⠀⠀⠀ ⠀⠀⠀⠀⡟⠋⠀⠀⠀⢠⠊⠀⢀⡴⢯⠱⡄⢀⠀⢈⠻⣦⡀⠀⠑⣝⣄⠀⠀⠀⠀⠀⠑⡄⠀⠑⣄⠀⠙⡄⠙⡄⠀⠁⠀⠀⠈⠀⠀⠀ ⠀⠀⠀⠀⡇⠀⠀⠀⡰⠃⠀⡠⠊⢆⠘⣷⡘⢎⠂⠀⠙⢬⡻⣄⠀⠈⢻⣵⠦⡴⠶⠤⠄⠘⢆⠀⠘⣦⠀⠘⡄⠘⣄⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢳⠀⠀⡰⠁⢠⠞⠀⠀⠈⢆⠸⡌⠢⡳⡀⠀⠀⠙⢌⠣⡈⠁⠈⢷⠬⣳⢄⠀⠀⠀⠂⠀⠈⢷⡀⠘⡄⠸⣿⡶⣤⡀⠀⠀⠀ ⠀⠀⠀⠀⢸⠀⡰⠁⡰⠁⠀⠀⢀⣀⠈⢆⠱⡀⠙⢿⣦⡀⠀⠀⠀⠙⢆⠀⠈⣆⠈⠑⣽⡢⣄⠈⠆⠀⠈⢷⡀⠸⡀⢹⣷⡙⢿⣶⣄⠀ ⠀⠀⠀⠀⢀⡟⠠⣞⡤⠖⠊⠉⠁⠀⠀⠈⠣⡱⡀⠀⠙⠿⣦⡀⠀⠀⠀⢢⡀⠘⡄⠀⠈⢳⣌⠉⠺⣤⣀⠘⣷⡀⢣⠀⠻⡷⡀⠙⢿⣧ ⠂⠀⠀⣰⠋⢀⣰⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣷⡀⠀⠀⠈⠻⣦⡀⠀⠀⠱⡄⠘⡈⠉⠉⠉⠣⡀⠸⣄⠀⢹⡷⡈⣇⠀⠹⡵⡀⠈⢿ ⠀⠀⢀⠇⢠⠛⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢻⣄⠀⠀⠀⠀⠉⠒⢄⠀⠘⢆⠀⠀⠀⠀⠀⠈⢆⢹⡄⠈⡗⢣⢹⡄⡄⠹⣷⠀⠀ ⠀⢀⠎⢠⣯⠀⢹⠘⣧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢆⠀⠀⠀⠀⠀⠀⠀⢀⣬⣓⣋⣉⣽⣿⢿⣿⣿⣿⡄⢹⠈⣿⣷⣿⡄⢻⣧⡀ ⠀⠀⢀⣎⠸⡆⠀⢣⠈⠱⠄⠀⠀⠀⠀⠀⠠⠀⠀⠀⠀⠀⠑⠀⠀⠀⠀⠀⣰⠿⠟⠛⠿⠛⠛⣻⡀⠸⠟⢿⣷⢸⠀⢹⡟⣿⣿⡈⣿⡉ ⠀⠀⣄⣈⡦⠽⠒⠉⢹⠀⢀⣠⡤⣴⣶⣶⣶⣿⣟⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠋⠁⠀⠀⠀⠀⠀⠀⠀⠸⣿⡟⠀⠀⢳⠀⠙⢧⠸⣧ ⠀⠀⠀⠔⠊⠁⢈⣩⡾⠛⣉⣥⣾⣿⣿⣿⣛⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⡇⠀⠀⠘⡟⠶⣬⡆⠘ ⠀⠀⠀⠀⠀⢲⣿⣷⡶⠟⠛⠗⠋⠑⠊⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢧⠀⠀⠀⡇⠀⠉⢳⠀ ⠀⠀⠀⠑⣴⡿⠿⠮⡳⡖⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⡄⠀⠀⠁⠀⠀⠀⠀ ⠀⠀⠀⠀⠈⠳⡀⠀⠈⢻⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⡆⠀⠀ ⠀⠀⠀⠀⠀⠀⠈⢢⠀⠀⠙⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⡤⠤⢤⡄⠀⠀⠀⠀⠀⠀⠀⢠⠇⠀⡀⠀⠀⠀⠀⠀ ⠀⠀⠀⢸⣗⠄⠀⠀⠣⣤⡲⡈⢻⡄⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣴⣾⣿⣿⣿⣿⣿⣥⣾⡇⠀⠀⠀⠀⠀⠀⢀⡟⠀⢀⠀⠀⠀⠐⠀⠀ ⠀⠀⠀⡀⢻⡳⡀⠀⠀⠙⢷⣌⠀⠻⡄⠀⠀⠀⠀⠀⣴⣾⣿⣿⣿⠈⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⢀⡞⡇⠀⢸⠀⡇⠁⠀⢠⣤ ⠀⠀⠀⢻⣄⢣⠈⠳⣀⠀⠈⢿⡧⡀⢱⡀⠀⠀⠀⠀⠘⣿⣿⣿⣿⡆⠛⠛⠉⠉⠉⠉⢿⡇⠀⠀⠀⠀⢀⣾⠁⠇⣸⡌⢈⡇⠀⠰⣿⣿ ⠤⣀⠀⠊⠉⢆⢣⠀⠈⢦⠀⢈⢷⠙⡄⢣⠀⠀⠀⠀⠀⠈⢿⡏⠀⡁⠀⠀⠀⠀⠀⠀⠀⢳⢢⡀⠀⢀⡎⣿⡆⠀⣧⠃⣸⣇⡀⠀⣿⡏ ⠀⠈⠻⣷⣶⣿⣦⢧⡀⠀⠡⡀⠩⣆⠘⡄⢇⠀⠀⠀⠀⠀⠀⠙⠲⠇⠀⠀⠀⠀⠀⠀⠀⡜⠈⠀⣠⣿⠇⡟⡇⣸⡏⢀⠏⣻⡁⢐⡿⠀ ⠀⠀⠀⠀⠙⠻⢿⣯⣿⣷⣤⣱⡀⠘⡀⠘⡜⡄⠀⠀⠀⠀⠀⠘⡄⠀⠀⠀⠀⠀⠀⠀⠘⠀⠀⣴⣿⡿⠦⢄⣻⡟⠀⡈⢀⣿⠇⣠⠖⠀ ⠀⠀⠀⠀⠠⣀⠀⠈⠛⠛⢿⡄⢱⠀⢣⣀⡸⣧⠀⠀⠀⠀⠀⣀⣁⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⡟⠁⢸⣦⣝⠢⣀⢁⣸⣿⠞⠁⠀⠀ ⠀⠀⠀⠀⠀⠈⠙⠢⢤⣇⡀⠘⡄⢃⠀⠈⠛⠿⣷⣶⢶⣤⣼⣿⣿⡉⠓⠦⢤⣤⣤⣤⣶⡿⠟⠁⠀⠀⢼⠀⣈⣑⣪⠙⡿⠃⠀⠀⠀⠀ ⣀⣠⣤⣦⣍⣓⠢⢤⣀⠀⠉⠙⢛⣈⡠⠤⠄⠠⠛⠛⠛⠛⠛⠻⠿⠿⢦⣤⣖⣦⣀⢩⣁⠀⠀⣠⠔⠒⠉⠉⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀

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⠀⠀⠀⠀⡄⠊⢡⠈⢆⠀⠀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠂⠀⠀ ⠀⠀⢠⠈⠀⠀⠀⠑⡤⢟⠭⣐⣒⣒⣒⣒⣒⣛⡉⠡⢒⠄⡀⠀⡘⠀⡇⡀⠀⠀ ⠀⠀⠀⢆⠀⠰⠔⡫⡪⣺⣷⣭⣤⣤⣤⣷⣤⣤⣉⠛⣅⡪⢜⢜⢄⢀⢁⠁⡀⠀ ⠀⠀⠀⠈⡄⢸⢸⣘⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣄⢡⠁⡎⠈⠰⠀⠀ ⠄⠀⠀⢠⢣⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣼⣤⣗⠃⠂⠀⠀ ⠀⣀⣠⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣧⣸⠀⠀ ⣞⠛⢿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣿⣾⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⢿⡿⠗⢠ ⠤⡑⢴⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣟⣻⣿⢿⣿⣿⣿⣿⣿⣿⣆⠳⠈⠀ ⣄⢨⣿⣿⣿⣿⣿⣿⣿⠀⠛⣿⡍⢿⣿⡿⢹⢣⠛⠚⣿⣿⣿⣿⣿⣿⣿⡆⢡⣤ ⣿⣿⣿⣿⣿⣿⡟⢻⣿⡟⣿⡶⠳⠈⢻⠁⠰⠶⢾⡟⢻⣿⡟⣿⣿⣿⠟⣣⣴⣿ ⣿⣿⣿⣿⣿⣿⣦⠀⠱⡍⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢨⡟⠁⣿⣟⡵⢍⣿⣿⣿ ⣿⠟⠷⡿⡍⣿⣿⣷⡀⢹⣄⠀⠀⠀⠀⠀⠀⠀⠀⢠⠟⠀⣸⣿⣿⣄⠀⠈⠻⣿ ⠁⠀⠀⢻⢧⠈⢿⣿⣿⡅⣈⣢⣀⠻⣛⡻⠀⣀⣔⣋⣤⠊⣿⣿⡇⠊⠑⢄⠀⠈

⠀⠀⠀⠀⠀⠀⠀⠀⢰⡿⢸⠇⢸⠀⡿⡟⡷⡇⠀⢠⣾⣉⣅⣿⣈⣧⡀⠀⢹⡇⠀⠀⠀⢸⣿⣿⣆⢦⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣾⡇⢸⠀⣼⠀⢿⡇⡇⣧⠀⠸⣿⡍⢩⢿⠈⠉⢻⡝⢻⡇⠀⠀⠀⢸⣿⣿⣿⡜⡆⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢠⣿⡇⢸⡄⣿⡴⢿⡇⣷⣿⣦⠀⢿⡇⣸⠀⠀⠀⠀⠙⣾⡇⠀⠀⢰⢸⣿⡿⡇⣧⢹⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢸⣿⢫⠘⡇⣿⡇⢸⡧⢹⣿⣯⢊⣿⣇⠋⢀⣀⣀⣀⣀⣺⡁⠀⠀⣼⢸⣿⡇⢷⢸⡎⡇⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣼⣿⠘⡆⢿⢯⣷⡌⠛⢸⡏⢿⠳⣇⠉⠐⠋⣿⣿⣿⣿⣯⢻⡇⢀⡟⣼⡇⡇⢸⢸⣷⢻⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣿⣹⣆⣧⠸⣧⣼⢿⣿⣿⣯⠈⣰⡏⠳⠄⠠⠿⠿⠟⠚⡅⣾⠀⣸⣇⣿⢻⡇⢸⢸⣿⣿⡄⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣿⠸⡏⡜⡆⠹⡟⢾⣿⠿⡯⠀⢻⠁⠀⠀⠀⠀⠀⢀⣼⢱⠇⢀⣿⠙⣿⢸⡇⣾⢸⡿⢿⡇⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢠⡇⡜⣷⢻⠹⡄⡹⡄⠑⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡿⠀⣼⡏⢀⡿⣸⡇⣿⢸⣧⢸⣷⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢸⡇⡇⢻⡘⣇⠹⣎⠻⣲⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⢿⣇⣾⣿⣧⣿⠁⣿⢠⡟⠸⡿⠈⣿⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢸⡇⡇⢸⣧⢿⣶⠿⣦⢮⠉⠃⠀⠀⠀⠀⠀⠀⠀⠘⢁⣾⣿⣿⣿⣿⡟⠀⣿⢸⣷⢰⡇⠀⣿⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢸⡇⣿⡌⣿⣿⣿⣥⣿⣿⣷⣦⣄⠀⠀⠀⠀⠀⢀⡴⣿⡟⣿⡿⣿⣿⠃⢰⣿⣿⣹⢸⡇⠀⣿⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠈⡇⢻⣷⣿⠿⣿⣿⣾⣿⣿⣿⣿⣿⠲⣤⡤⠞⠉⠞⠉⠰⣿⣣⣿⣿⠀⢸⣿⡏⣿⣸⠀⠀⣿⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣧⢸⣿⣿⠀⣹⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠻⣿⣿⠘⠀⣿⣿⢹⣿⡏⠀⢰⡟⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢹⠸⣿⣿⣼⣿⣿⣿⣿⡿⠿⠋⠀⠀⠙⠒⠒⠒⠛⢀⡴⠀⠈⠛⠷⣦⣿⣯⣿⣿⠃⠀⣼⡇⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⡤⠜⠃⠉⠉⠁⠉⠉⠁⠀⠀⠀⣀⣀⡐⡄⠀⠀⠀⢠⣏⡤⠴⠖⠂⠀⠀⠀⠀⠀⠈⠈⠳⣻⣄⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⡴⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⢤⣤⡴⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠱⡄⠀⠀⠀⠀ ⠀⠀⠀⢰⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⡟⠀⠀⠀⠀⢹⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣠⠔⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣇⡀⠀⠀⠀⢸⡇⠀⠀⠀ ⠀⠀⠀⠀⢀⡴⠊⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠢⣀⠀⢸⡇⠀⠀⠀ ⠀⠀⠀⡼⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠲⣼⠀⠀⠀⠀ ⠀⢀⠞⠀⠀⣠⠶⠚⠓⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢧⠀⠀⠀ ⢀⡟⠀⢠⠞⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢧⠀⠀ ⢸⠀⠀⡿⠀⠷⠃⠠⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠤⠤⢤⡀⠀⠈⢧⠀ ⢸⠀⠀⠛⠀⠀⠀⠀⠘⠲⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢦⡀⠀⠀⢹⡄⠀⢸⠀ ⢸⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⡏⠀⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠤⢡⡀⠀⢠⡇⠀⢈⡇ ⠀⢃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⡿⠀⠀⠀⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡼⠁⠀⢸⠃ ⠀⠀⢢⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⡟⠁⠀⠀⠀⠘⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢤⡤⠚⠁⠀⢀⡞⠀ ⠀⠀⠀⡷⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡤⠞⣡⠟⠀⠀⠀⠀⠀⠀⠙⡷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠏⠀⠀ ⠀⠀⠀⠃⠀⠙⢷⡶⠤⣤⢤⠤⠴⠖⠋⣩⠴⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠳⣌⠳⢤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⢴⡇⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠙⣦⣿⠀⠀⠀⠚⠛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠣⡀⠈⠉⠓⠲⢶⡶⠶⣶⠞⠋⠁⢸⡇⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠹⢿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠢⠀⠀⠀⣸⡁⡼⠁⠀⠀⠀⠈⡧⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣤⣤⣤⣤⣤⣶⣦⣤⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⡿⠛⠉⠙⠛⠛⠛⠛⠻⢿⣿⣷⣤⡀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⠋⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⠈⢻⣿⣿⡄⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣸⣿⡏⠀⠀⠀⣠⣶⣾⣿⣿⣿⠿⠿⠿⢿⣿⣿⣿⣄⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣿⣿⠁⠀⠀⢰⣿⣿⣯⠁⠀⠀⠀⠀⠀⠀⠀⠈⠙⢿⣷⡄⠀ ⠀⠀⣀⣤⣴⣶⣶⣿⡟⠀⠀⠀⢸⣿⣿⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣷⠀ ⠀⢰⣿⡟⠋⠉⣹⣿⡇⠀⠀⠀⠘⣿⣿⣿⣿⣷⣦⣤⣤⣤⣶⣶⣶⣶⣿⣿⣿⠀ ⠀⢸⣿⡇⠀⠀⣿⣿⡇⠀⠀⠀⠀⠹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠃⠀ ⠀⣸⣿⡇⠀⠀⣿⣿⡇⠀⠀⠀⠀⠀⠉⠻⠿⣿⣿⣿⣿⡿⠿⠿⠛⢻⣿⡇⠀⠀ ⠀⣿⣿⠁⠀⠀⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣧⠀⠀ ⠀⣿⣿⠀⠀⠀⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⠀⠀ ⠀⣿⣿⠀⠀⠀⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⠀⠀ ⠀⢿⣿⡆⠀⠀⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⡇⠀⠀ ⠀⠸⣿⣧⡀⠀⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⠃⠀⠀ ⠀⠀⠛⢿⣿⣿⣿⣿⣇⠀⠀⠀⠀⠀⣰⣿⣿⣷⣶⣶⣶⣶⠶⠀⢠⣿⣿⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣿⣿⠀⠀⠀⠀⠀⣿⣿⡇⠀⣽⣿⡏⠁⠀⠀⢸⣿⡇⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣿⣿⠀⠀⠀⠀⠀⣿⣿⡇⠀⢹⣿⡆⠀⠀⠀⣸⣿⠇⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢿⣿⣦⣄⣀⣠⣴⣿⣿⠁⠀⠈⠻⣿⣿⣿⣿⡿⠏⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠈⠛⠻⠿⠿⠿⠿⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⡀⠀⣸⣛⣸⡟⠀⠸⣿⣿⣿⣿⣿⣿⣿⣣⣴⣷⣾⣿⣛⣿⣿⣅⡀⠀⠀⠀⠀⠀ ⣿⣦⡀⠈⠙⢧⠀⠀⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⢿⣾⣦⠀⠀⠀⠀ ⣿⣿⣿⣦⡀⣠⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣿⡿⣿⣿⠟⠉⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢟⠛⠷⡆⠀⠙⢷⣿⣿⣿⣿⣿⠀⢆⠀⠀⠀⠀⠀ ⠻⠟⣽⣿⣿⣿⣿⡿⠛⠱⢦⠘⠂⢀⣤⣖⣂⣈⣿⣿⣿⣿⣿⡆⠸⣷⣄⣀⠀⠀ ⠀⣰⣿⣿⣿⣿⡟⠀⢦⠀⠈⠻⣖⠿⠤⢬⣶⣬⡿⣿⣿⣿⠃⠀⠀⣿⣿⣿⣿⣿ ⣼⣿⡿⣿⣿⠇⠸⣦⣠⠵⠦⣄⣈⣳⣄⡟⢿⡍⡻⠟⣿⣷⣾⣶⣆⣿⣿⣿⣿⣷ ⣿⣿⡇⢿⡏⢇⠰⡏⠈⠳⢿⣿⣶⡌⠉⠁⠀⠉⠀⠘⣹⣿⣿⣿⣿⣿⣿⣿⣿⣍ ⠉⠉⢱⣟⢿⡼⣧⡇⣴⢻⣏⠳⠉⠉⠉⠀⠀⠀⡠⠜⠋⢾⣿⣿⣿⣿⣿⣿⣷⣄ ⠀⠀⠘⣟⠌⢻⣿⣿⡫⠑⠚⠁⠀⠀⠀⢀⣠⡴⠀⠀⠌⢈⣿⣿⠃⣿⣿⣿⣿⣿ ⠀⠀⠀⠙⣬⣦⡻⣿⢿⣶⣷⣄⡀⠀⠀⠉⠉⠀⢠⣪⣾⣿⣿⠏⠀⣿⣿⣿⣿⣿ ⠀⣀⣴⣾⣿⠟⣿⣿⢾⣿⣿⣿⣿⢿⣿⣶⣶⣂⣽⣿⣿⡿⠁⠀⢀⣿⣿⣿⣿⣿ ⠉⠉⠉⠉⠀⣰⣿⠏⡌⢿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⡿⠁⠀⣸⣼⣿⣿⢟⣾⡿ ⠀⠀⠀⠀⠴⠟⠃⣰⡇⣸⠋⣿⣿⣿⣿⣿⣿⣿⣿⢟⠈⣠⣾⣿⣿⡿⢱⣞⣿⣿ ⠀⠀⠀⠀⠀⠀⢰⣻⡇⠁⢿⣿⣿⣿⢹⣿⡿⢟⡵⣳⣿⣿⣿⣿⡿⠑⢉⣰⣿⣿

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡴⠟⠛⠋⠉⠉⠙⠛⠢⢌⡑⠢⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⠋⠀⠀⠀⢀⣀⣀⣀⣀⠀⠀⠙⡟⢺⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⠴⠒⠉⠉⡁⠀⠈⠱⠶⢭⣶⣄⣼⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠲⣶⣤⡤⢴⣶⡾⠟⠀⢀⣤⡶⠋⠁⠀⠀⠀⠀⠀⠈⠙⢯⠉⠛⢅⠲⢄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢉⣿⠟⠉⠀⠀⣰⠟⠁⠀⠀⠀⠀⠀⠀⣠⣴⣿⡦⠈⢣⠀⠀⢳⣀⠱⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⢀⣾⣣⡤⠀⢠⡞⣁⡤⠖⠀⠀⠀⢀⣠⢞⠋⠁⠀⠀⠀⣨⠚⠉⠉⣍⠛⢮⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠻⣦⣤⠿⠯⠵⠖⠒⠋⠉⠁⠀⠀⠀⢀⣴⢏⡵⠃⠀⢀⡞⢀⡞⠃⢠⡇⠀⠹⣆⠰⣿⣧⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠘⢷⣶⣖⣪⡿⢿⣥⣀⣀⠀⠀⠀⠀⢀⣀⣤⠖⢋⣾⠏⠀⠀⢠⡞⢀⠾⣄⣀⡟⢹⡀⠀⠹⡄⢋⢻⡟⢦⡀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠉⠛⠛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠁⢀⡾⠀⠀⢠⣰⠏⣿⡞⠀⠀⠙⠑⢚⡇⡀⠀⢧⠸⡌⣿⣦⣄⡀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⡿⠟⠛⠛⠉⢹⣿⡿⠀⢀⡾⠁⢀⣴⠟⠁⢤⣿⠁⠀⠀⣴⠀⠀⣷⣇⠀⣾⡀⣇⢹⣏⠉⠉⠁⠀⠀⠀⠀ ⠀⠀⣄⣀⣀⣀⣤⣾⡷⠞⠉⠀⠀⠀⠀⢀⣼⡇⡗⢠⣬⣷⣾⣿⣧⣄⡀⠀⣿⠂⠀⠈⠋⠀⠀⣿⣿⠀⢻⣷⣿⡈⣿⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠈⠻⢿⣿⣿⣟⣿⣶⣦⣤⣤⣴⣶⣿⣿⣧⡿⢋⣹⣿⠛⠙⣿⡇⠙⠂⢻⠀⠀⠀⠀⠀⠀⣿⣿⣧⠘⣿⣷⡕⠸⡀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠙⠛⠘⠛⣿⣿⣿⣿⣿⣿⣿⣾⣿⢁⣠⣾⣿⣯⠉⠒⠋⠀⠀⠀⠈⢆⠀⠀⣠⣽⣶⣿⡄⣿⣆⢹⡽⣿⣦⡑⣄⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣠⣾⣿⣿⣿⡟⣳⣶⣷⣿⣾⣿⣿⣇⠈⣿⣦⡀⠀⠀⠀⠀⠀⠈⠂⠀⣯⣽⠟⢀⣿⣿⣿⣧⣿⣌⠻⡛⠛⠛⠃⠀⠀⠀ ⠀⠀⠀⠀⠐⣞⠛⠛⠛⠉⣿⣴⣿⢿⣿⡿⣿⣿⣿⣿⡄⣧⠈⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⡻⢷⣿⢹⣿⣿⣿⢷⡬⠵⠦⠀⠀⠀⠀ ⠀⠀⠀⠀⢰⠁⠉⠑⠀⣼⣿⡟⠙⣼⣿⠀⢿⣿⣿⡿⣷⣽⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⢁⡾⢿⠻⡇⣿⡿⢿⣷⣄⠀⠀⠀⠀⠀ ⠀⠀⠀⢀⠹⠀⠠⠖⠋⢹⡏⠉⠑⣿⣏⠀⢹⣿⣿⣿⡘⢿⣿⠢⣀⠀⠀⠀⠀⠀⠀⢀⣠⢶⠛⠉⢸⣾⡀⣷⠷⢽⣆⠀⣀⠤⣄⡂⠀⠀ ⣀⠀⠀⠈⢦⠰⣄⡀⠀⠀⠃⠀⠼⠋⠉⢢⣸⣿⣿⣿⣷⡈⢻⣄⠀⠑⢦⠤⠒⠲⡎⠉⣿⡏⢣⡀⢰⣿⣧⣟⡠⠤⠂⠉⠁⢑⡂⠀⠀⠀ ⣿⣿⠀⡿⢤⣷⣦⡨⣿⣥⡄⠀⠀⠀⠀⢸⣁⠝⢿⣏⠹⣿⣄⠙⢿⣶⣾⡖⠤⠤⢌⣺⣧⠻⣶⡟⢾⣿⣿⣆⠀⣀⠤⠒⠋⠁⠉⠉⠁⠒ ⢾⡏⡈⡗⢸⡿⣟⣿⣿⣿⡖⠒⠒⡶⠖⠊⠙⠦⣤⠻⣿⣿⢿⣷⣄⡙⠻⢿⣯⣐⣶⣤⡉⠁⠿⡆⢸⠈⢿⣌⡛⠦⢄⣀⠀⠀⠀⠀⠀⣀ ⠀⣷⣽⣷⠋⣰⡿⠃⢹⣽⣧⣠⠎⠀⠀⠀⠀⠀⠈⢶⣧⣈⣸⠛⣿⡿⡶⣤⣉⡉⠬⣿⣿⣳⡶⠚⡆⢃⢸⡿⣿⣷⣦⣤⣉⣳⠶⠶⠟⠋ ⠀⢿⣿⣅⣼⣿⠇⣠⣾⣿⣿⣷⣄⠀⠀⠀⠀⠀⠀⠈⣿⣿⣿⢶⠞⢳⣿⣷⣤⣽⠿⣶⣺⣿⣿⣿⣿⣾⡿⠇⠙⢯⣻⢦⣈⣙⣦⣄⠀⠀ ⠀⠹⣿⣿⣿⣇⣴⣿⡿⠃⠈⠻⡇⠀⠀⠀⠀⠀⠀⠀⢸⡿⠃⠀⠀⠀⠙⣿⡿⣿⢆⠈⣿⣡⣾⣍⠹⣿⡷⠲⢤⡀⠙⣻⡿⣷⣽⡎⡛⠦ ⠀⠀⢿⣿⣿⡿⣿⣡⡄⣠⣿⣶⠟⠁⠀⠀⠀⢀⣀⠀⣼⣷⣴⡆⠀⠀⠀⠘⣷⠘⣧⡑⠻⣯⢙⣿⣷⡸⣿⢦⡀⠉⠷⣆⣥⡌⡏⠙⢧⡀ ⠀⠀⣸⣿⣏⣿⣿⣝⡟⠻⠟⢁⠀⠀⠀⣴⣞⠉⢀⣴⣿⣿⠞⠀⠀⠀⠀⠀⣽⠀⠙⣷⠦⣈⠛⠻⣿⣿⣦⡀⠘⣏⣦⣉⡉⠁⠀⠀⠀⢳

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢀⣀⣀⣀⡀⢉⣉⠉⠉⠋⠐⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠰⠒⠒⠂⠀⠄⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣠⣾⣿⣿⡿⠿⠿⣶⣶⣥⣴⠢⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢊⡀⢤⣤⣤⣶⣶⣶⣖⠃⠀⠀⠀⠀⠀ ⠀⠀⠠⢴⣾⣿⡿⠋⠀⠀⠀⣴⣾⣿⣿⣿⣗⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣥⣾⣿⣟⠉⠉⠙⠻⣿⣿⣦⣀⠀⠀⠀ ⠀⠀⣠⣾⣿⠋⠀⠀⠀⠀⠠⣿⣜⢶⡗⣹⡯⠣⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⣟⢭⣛⢹⣧⠀⠀⠀⠀⠻⣿⣧⡀⠀⠀ ⠲⠿⠿⠿⣿⡀⠀⠀⠀⠀⠀⠻⠿⣷⡼⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣯⣫⣼⡏⠀⠀⠀⠀⠀⣹⣿⠿⠷⠦ ⠀⠀⠀⠀⠈⠉⠒⠀⠀⡀⢀⣠⠶⠖⠒⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠭⢭⢥⣄⠀⠀⠀⠀⠊⠁⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣟⣰⣞⠛⢍⡀⠙⢬⡧⡀⠀⠀⠈⢧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠉⠉⠉⠉⠛⠛⠛⠿⠿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠙⠿⣿⣦⣤⣙⠲⢌⡑⠢⢽⣦⡀⠀⠀⠀⠙⢦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⢀⡀⠉⠉⠉ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⢻⣿⣿⣷⣶⣦⣤⣌⣙⡀⠀⠀⠀⠀⠙⠶⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⠀⢨⠟⡓⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⡍⠛⠿⣿⣿⣿⣿⣿⣷⣦⣤⣀⣀⠈⠙⠦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⡤⣖⡿⠥⢚⠉⢰⠃⠀⢀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠛⣦⠀⠈⠙⠷⣄⡉⠙⠛⠻⣿⢿⣿⣷⣶⣤⣤⣀⣠⠤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠚⠉⠉⢨⡽⠒⠉⠉⠀⠀⣸⠀⢀⡿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣇⠀⠀⠀⠈⠙⣦⠀⠀⠈⡀⠀⠈⠙⠻⠛⠿⢿⣿⣷⣾⣭⣄⣀⠀⠀⠀⠀⠀⣀⣀⣤⠤⠴⠋⡠⠤⠤⠄⠠⠄⠛⣶⢸⠇ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⡄⠀⠀⠀⠀⠈⣇⠀⠀⠹⠀⠀⠀⠀⠀⠀⠀⠀⠩⠿⢿⣿⣿⣿⣿⣶⣤⣄⣀⡀⠀⠨⠭⠭⠥⠔⠿⠯⠤⢒⣻⣿⡿⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢳⠀⠀⠀⠀⠀⢹⡄⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠈⠙⣇⠈⠙⠻⢿⣿⣿⣿⣶⣤⣤⣈⣉⠀⠉⠉⠭⠀⠺⡇⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠸⣿⡀⠀⣀⠀⢁⠿⣄⠀⢀⣄⠀⠀⠀⠀⡀⠙⠦⣄⣀⣠⡿⠿⠿⠟⢻⣿⡿⠿⠛⠒⠒⠀⠀⠀⠘⠳ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⡆⠀⠀⠀⠀⠀⢻⣆⣰⡟⢠⠏⠀⡟⣞⣿⠇⢀⠀⠀⣰⠇⢠⣤⣿⠛⠉⠀⠀⣠⡴⠋⠁⠀⠀⠀⠀⠀⠀⠀⢀⣀⣤ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⠁⠀⠀⠀⠀⠀⢈⣿⠋⢠⠏⠀⣸⣿⡟⡞⢰⣼⠀⡞⢁⡴⠛⠁⠀⠀⠀⠠⠞⠉⠀⠀⠀⠀⠀⠀⠀⢀⡤⠚⠉⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⣰⠃⢀⠏⠀⢠⣿⣿⠁⠀⣼⣧⡾⠋⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠀⠀⠀⠀⠀⢠⠏⠀⠈⠀⢀⣟⣟⡇⡀⠀⣼⡟⠀⠀⠀⠀⠀⢀⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠀⠀⠀⠀⢀⡟⠀⠀⠀⠀⢚⣿⠘⠀⠁⠀⣿⠁⠀⠀⠀⠀⢠⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠀⠀⠀⢀⣺⠃⠀⠀⠀⠀⣼⠁⠀⠀⠀⠀⡏⠀⠀⠀⠀⢀⡎⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡆⠀⠀⠀⢸⡟⠀⠀⠀⠀⢰⡇⠀⠀⠀⠀⢾⡃⠀⠀⠀⢠⡞⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⣰⠇⠀⠀⠀⠀⡿⠀⠀⠀⠀⢀⡏⠁⠀⠀⢀⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠁⠀⠀⠀⢹⡄⠀⠀⢰⢸⠁⠀⠀⠀⢀⡾⠀⠀⠀⢠⡞⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡞⠀⠀⠀⠀⣿⢥⠀⠀⠀⡟⠀⠀⠀⢠⣾⠁⠀⠀⢀⡞⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡾⠃⠀⠀⠀⣼⢿⣿⠀⠀⣸⠁⠀⢀⣠⣿⠇⠀⠀⠀⠘⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡾⠁⠀⠀⢠⣵⡟⢸⣸⡆⣸⡏⢀⡴⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡴⠋⠀⢀⣠⣴⠟⠁⠀⢸⣿⣷⡿⣁⢸⡾⡿⢻⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣠⣤⣴⣾⣿⣶⣿⣿⣟⠛⠁⠀⠀⠀⣸⣿⡿⣿⣿⠏⠀⠀⠸⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣻⡿⣿⣿⣿⣿⣿⣿⣿⠿⠷⢶⣤⣶⣾⣿⣿⣿⡛⠋⠀⠀⠀⠀⣻⣿⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠛⠛⠻⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠆⢤⣄⣀⣉⡉⠛⠛⠛⠷⠶⣶⣶⣾⣵⣿⣿⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⣿⣿⣿⠟⠀⠀⠀⠀⠀⠀⡀⠠⠆⠂⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠻⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⡿⠃⠀⠀⢀⣠⠴⠚⠁⠀⠀⠀⠀⣀⣀⣀⣀⣀⣠⣤⡖⠒⠢⣄⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠈⠹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧ ⠟⠂⠒⠀⠈⠀⠀⣀⣠⡶⠴⣖⣿⠉⠙⠛⠫⢧⡹⣽⣄⣈⡑⢤⡈⠿⠄⠘⣆⠀⠀⠀⠀⠀⠀⠙⢦⠈⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿ ⠀⠀⠀⣀⣤⣾⣿⡯⠤⠔⠒⠀⠋⠉⠁⠀⠀⠈⠉⠉⠛⠒⠠⢍⡉⠁⠒⠢⢼⣟⠉⠉⢲⡀⠀⢀⣾⡆⠀⠈⢿⣿⣿⣿⣿⣿⣿⣿⣿⡧ ⣶⣾⣿⣿⠛⠋⢡⣄⣀⠀⠀⠐⠦⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠑⠦⡀⠀⠀⠉⠳⢄⣷⠶⠋⡼⠀⠀⠀⠀⠹⣿⣿⣿⣿⣿⡿⠛⠁ ⣿⣿⣿⠃⠀⢀⠎⢲⣌⠉⠀⠀⠀⠀⠀⠉⠐⠒⠠⠤⠄⣀⣀⠀⠀⠀⢀⣈⣳⠤⠔⠒⠉⢁⣠⣞⠉⠓⢦⡀⠀⠀⠘⢿⣿⣿⡿⠂⠀⠀ ⣿⣿⡏⠀⢀⠎⠀⢸⠋⠙⠳⢶⣤⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠉⣉⣉⣰⣶⠒⠚⡉⠀⢋⢢⣀⠀⠈⠲⣄⠀⠘⢿⠿⠧⣀⠀⠀ ⣿⣿⠁⢀⡎⠀⡀⡇⠀⠀⠀⠀⠀⠉⠉⠑⠒⠦⢤⣀⣀⣀⣀⣀⣉⣛⣫⣤⣇⠢⡄⠁⠢⣱⡀⠈⡄⡏⠳⣦⣄⠈⢧⡀⠘⣧⠀⠀⠉⠒ ⣿⣿⠀⡜⠀⠀⡇⡇⠀⠀⠀⠀⠀⠀⠀⠀⣀⠴⠊⢀⡴⠥⠄⢀⣤⣷⡾⢿⡟⠉⠛⢦⡀⠈⠱⠀⢱⡆⠀⢹⡞⣷⣄⢷⠀⠘⣇⠀⠀⠀ ⣿⣿⢰⠁⠀⠀⣇⡇⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠛⠀⠀⣴⣿⡿⡁⢀⣾⠃⠀⠀⠈⢳⡀⠀⡇⠸⡁⠀⠘⢹⢹⣿⣿⡆⠀⠻⡆⠀⠀ ⣿⣿⣿⠀⠀⠀⠹⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⣛⣦⠿⠟⠀⠀⠀⠀⠀⠀⢳⠀⣷⠀⣧⠀⢀⣶⠉⣿⢻⣷⣄⡀⢻⡄⠀ ⣿⢻⠀⠀⠀⠀⠀⠇⠀⠀⣠⡀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢸⡿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⣧⢰⢀⣇⢇⠸⢧⡀⠁⢸⣿⣿⢿⣧⣽⣆ ⣿⣾⠀⡇⠀⠀⠀⢸⠀⠀⠘⠘⡤⢀⡀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⢹⣿⠙⡛⢧⡀⠙⠦⢟⣛⡏⣼⣿⣿⣷ ⣿⣽⠀⡇⠀⠀⠀⡏⢣⠀⠸⣰⠁⠀⢈⣉⠒⢄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡜⡸⢹⡀⢱⡀⡗⢦⡄⠐⢖⠛⠧⢴⣮⠙ ⢻⣇⠀⢡⠀⠀⢸⣿⡌⢣⡘⠇⣠⣊⣥⣴⠒⣺⠛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠞⣠⠃⠀⣇⠀⢻⠛⠦⡗⠢⡄⠱⡀⠀⢻⢀ ⠸⡟⡆⠸⡀⠀⠘⣿⣿⡄⠑⣴⣿⡟⢹⣯⡟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣴⣶⠖⠓⠊⠁⠀⢀⠿⣆⠀⢣⡀⠼⠦⢼⣆⠛⢄⢈⡟ ⢠⠇⢹⡄⢇⠀⠸⣿⣿⣿⣶⡿⠿⢿⠿⠋⠀⠀⠀⠀⠀⠀⠀⠀⢀⡴⢚⣿⡿⠋⠉⢣⠀⠀⠀⠀⣸⠀⢹⠠⣀⠱⣤⡐⠉⠉⣱⣼⡈⣤ ⢸⠀⢸⣿⣼⡄⠀⣿⡙⢿⣿⣧⡀⠈⠳⣄⣀⣀⡀⠀⠀⠀⠀⠐⣯⣶⠟⠋⠁⠀⠀⢸⠀⠀⠀⢠⡇⠀⠀⡇⠈⢷⡾⠮⣉⣡⣞⠁⠱⣄ ⣿⡄⠈⣿⢿⣷⢦⠘⣏⠒⠬⠽⣋⡙⠢⢅⣀⣀⣠⠽⠦⢤⡀⠀⠉⠳⡄⠀⠀⠀⠀⢸⡴⠀⠀⣸⣇⠀⢀⣿⣄⡀⠈⠒⠢⢽⠿⡢⢤⡏ ⠘⣷⡀⠻⣿⣧⡄⣧⠈⠳⣆⠉⠓⢤⡴⠚⠉⠀⠀⠀⠀⠀⠙⢦⡀⠀⠈⠓⠦⠤⠤⠜⠀⠀⢠⣿⣿⣆⡸⠘⣿⣿⣻⣷⣆⠘⣆⢉⠞⣷ ⠀⠹⡉⠙⣶⣾⣇⣿⣧⡀⠀⠑⢦⢤⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢶⣶⣶⡦⠤⣤⣤⣄⣴⣿⣿⣿⢟⠇⠀⠸⣿⣿⣯⡼⠼⣧⣿⠞⠁ ⡀⠀⠹⣶⣿⣿⣿⣷⢬⣉⠉⠉⠚⢿⡷⠶⠒⠲⢶⣦⣄⠀⠀⠀⠀⠀⠙⢮⣙⠲⠤⣹⣿⡿⠟⠋⣡⢎⡀⠀⠀⢹⣯⣀⣀⣤⠞⣻⠶⠖ ⠳⣤⣤⠼⠟⣿⣿⠁⠀⣿⡿⢶⣦⣸⠀⠀⠀⠀⠀⠈⢿⠿⣦⣀⠀⠀⠀⠀⠈⠳⢄⠀⠉⠉⠛⢿⣷⣾⣧⣰⣶⣋⣀⣽⡿⠒⠋⠀⠀⠐ ⠀⠈⠉⠛⠉⢙⡿⡀⠞⣿⠁⠀⣿⠇⠀⠀⠀⠀⠀⠀⠈⢷⣿⡈⠓⢦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠠⢤⣀⣈⣉⣹⠟⣿⣿⣟⣛⠙⠛⠲⢤ ⠀⠀⠀⠀⠀⢸⠀⠗⢸⡃⠀⢚⠁⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⢷⡀⠀⠈⠳⢤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠉⣿⠃⣰⡿⠉⠉⠻⣷⣦⣄⡀

⣿⣿⣿⣿⡀⣙⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⢳⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⣾ ⣿⣿⣿⣿⣿⡻⡻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡼⣿⣿⠿⣧⣭⣝⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⢷⣿ ⣿⣿⣿⣿⣿⣿⣻⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⣿⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⡇⢏⣿⣿⣮⡿⣍⠻⣶⣽⣿⣿⣿⣿⣿⣿⣿⡸⣸⣿ ⣿⣿⣿⣿⣿⣿⣷⡡⠹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠉⠁⣀⠙⣷⡀⠈⠻⣿⣿⣿⣿⣿⣿⣿⣸⢻⣿⣿⣿⣿⣷⣜⠻⢿⣿⣿⣿⣿⣿⡏⢃⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣷⡀⠹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣿⣿⡏⠉⠁⢀⡀⠀⣿⡆⠈⢿⣄⠀⠈⢿⣿⣿⣿⣿⣿⡏⠸⣿⣿⣿⣿⣿⣯⣷⣿⣿⣿⣿⣿⣿⢣⣸⣿⣿ ⣯⠅⠄⠀⠀⠤⠆⠿⣷⡄⠹⣿⣤⠶⡶⢀⣴⠘⠛⠛⣻⣿⣫⣾⣿⣿⠟⢁⣤⣶⡿⢁⣴⣿⣿⣆⠘⣿⣆⢠⡀⠻⣿⣿⣿⣿⣧⠀⣿⣿⣿⣿⠟⠋⠙⠻⣿⣿⣿⣿⣿⣾⣿⣿⣿ ⢿⣦⡀⠀⠀⠀⠀⠀⠘⢷⡄⠹⣷⡀⠀⠎⠀⠀⠀⢰⣿⠛⣽⣿⠏⠀⢀⣾⣿⠟⣴⣿⡿⠻⣿⣿⣆⠘⢿⣏⢿⠀⠙⣿⡟⢻⣿⡆⢹⣿⣿⡟⠀⠀⠀⠀⠈⢻⣿⣿⡿⣿⣿⣿⣿ ⢷⣽⢷⡀⠀⠀⠀⠀⠀⠸⣷⡄⠹⣿⡋⠀⠀⠀⢰⡿⠡⣾⣿⠏⠀⢀⣾⣿⢏⣼⣿⠟⠁⠀⢻⡯⣿⣆⠘⣿⣾⣧⠀⠘⣷⣽⣿⣧⠘⣿⣿⠀⠀⠀⠀⠀⠀⠀⢿⣿⣿⣿⣿⣿⣿ ⠀⠹⣿⣻⣦⡀⠀⠀⠀⠀⠈⣿⡼⠙⣷⡀⠀⣰⡟⣁⣼⣿⡟⠀⣠⣾⣿⣿⣿⣿⠏⠀⠀⠀⠀⣻⣟⣿⣷⣿⣿⣻⣦⠀⢹⣿⣿⣿⣆⣿⣧⢀⣤⣖⣶⣮⣷⣶⣾⣿⣿⣿⣿⣿⣿ ⠀⠀⠈⠻⢿⣿⠶⠾⠛⠻⢿⣿⣿⣴⣝⣿⣀⣿⣽⣿⣿⣿⠀⢠⣿⣿⣿⣿⣿⠟⠓⠛⠛⠉⠉⠉⠹⠟⢿⣿⣿⣿⣿⠀⠀⢿⣿⣿⣿⣿⣿⣿⣿⣆⣠⣤⣘⣛⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⣾⠋⠀⠀⠀⠀⢀⡈⠈⠙⣿⣿⣿⣿⣿⣿⣿⠃⢀⣿⣿⣿⡿⣻⠟⠀⠀⢀⣀⣤⣤⣤⣤⣄⣜⣻⣿⣿⣿⡇⠀⢸⣿⣿⣿⣿⣿⣿⠟⠋⠁⠀⠈⠉⠙⠻⣿⣿⠹⣿⡟ ⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⢻⡄⠀⠈⢿⣿⣿⣿⣿⡟⣠⣼⣿⣿⣿⡇⡏⠀⠀⠀⠙⠿⣿⣿⣿⣋⣿⠏⠉⣿⣿⣿⡇⠀⠀⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣧⢹⣷ ⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠹⣄⠀⢨⣿⣿⣾⣿⢻⡿⣿⣿⣿⣿⣿⣷⠀⠀⠀⠀⠈⠉⠉⠁⠀⠀⠀⢠⣿⣿⣿⣿⡆⠀⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣇⢻ ⠀⠀⠀⠘⣧⠀⠀⠀⠀⠀⠀⠀⣀⣽⣶⣾⣿⣿⣿⣿⢸⡇⣿⣿⣿⠿⠛⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡾⣿⣿⣿⣿⠇⢠⣿⣿⣿⣿⣿⠀⠀⠀⢀⣠⣄⣀⡀⠀⠘⣿⣿⣿⡄ ⠀⠀⠀⠀⠹⣄⠀⠀⢀⣤⣾⠿⠟⠽⣿⣿⣿⣿⣿⣿⣼⠁⣿⣿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣱⠧⣿⣿⡿⠀⢸⣿⢹⣿⣿⣿⣧⣴⡿⣟⣻⣿⣻⣛⣷⣤⣿⣿⣿⣧ ⠀⠀⠀⠀⠀⠻⡄⣰⣿⣯⠕⢊⣠⠾⠿⠋⠻⣟⠉⣿⣸⠀⣿⣿⠀⠀⠈⠁⠀⠀⠀⠀⠀⠀⠀⣠⠤⣤⣴⣿⣾⣿⣿⠃⢠⣿⣿⢸⣿⣿⣿⣿⣿⣟⣩⣿⣻⠶⠶⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠙⣿⣿⣧⡶⠋⠁⠀⠀⠀⠀⠈⢳⣼⣿⢀⣿⣿⡆⠀⠀⠀⣶⠞⣿⣦⣤⣤⣶⣧⠀⠘⣿⣿⣿⣿⡿⠀⣼⣿⣶⣿⣿⣿⣿⣿⣿⠟⠋⠁⠀⠀⠀⠀⠉⠻⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⢹⣿⠏⠀⠀⠀⠀⠀⠀⠀⢀⣀⣽⣿⣾⣿⣿⣿⣶⡄⢠⣿⢷⣦⣄⣿⡟⠋⠙⠛⠒⢫⡿⣿⣿⠇⣰⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⢻⡀⠀⠀⠀⠀⣠⠾⠟⢿⣿⡿⣿⣿⣿⣿⣿⣿⣷⡌⠟⠻⠶⠾⠛⠀⠀⠀⠀⠰⠋⣰⣿⣿⢠⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠈⢳⡄⠀⢀⣾⣻⣯⡴⠟⠉⠀⣿⣿⠏⠉⠻⣿⣿⣿⣦⣄⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣦⣾⣿⣿⠋⠀⠀⠀⢸⣿⠋⠀⠀⠀⢤⣿⣿⣿⣿⣷⣄⣀⣀⣐⣶⣤⡀⢸⣿⣿⣷⣿⣿⣿⠟⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢿⡟⠀⠀⠀⠀⢸⡟⢧⠀⠀⠀⠀⠙⠙⢿⣿⣿⣿⣿⡧⣿⣿⡇⠀⠸⣿⣿⣿⣿⣿⠏⠀⢀⣼⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢧⡀⠀⠀⠈⢸⣧⠸⡀⠀⠀⠀⠀⠈⠙⠦⣉⡉⠁⠀⠉⠟⠀⠀⢰⢻⣿⣿⣿⠇⢂⡵⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⣄⠀⠀⠀⠙⠳⠿⠃⠀⠀⠀⠀⠀⠀⠈⠉⠓⢦⣀⠀⠀⠠⠞⠉⠹⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠱⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠙⠛⠿⣷⣤⡄⠀⠀⠀⠀⠀⠀⢠⡆⠀⠀⠀⠀⠀⠀⣰⣿⠻⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⠾⠋⠀⠀⠀⠀⠀⠀⠀⠈⢧⠀⠀⠀⠀⠀⢠⣿⡟⢠⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⡤⠾⠷⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢣⡀⠀⠀⠀⣿⣿⠇⣸⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡴⠖⠋⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠱⣆⠀⣾⣿⡿⢰⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡶⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢷⣿⣿⠁⣼⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⣠⠞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⡌⢿⣿⠀⢸⣿⣿ ⠀⠀⠀⠀⠀⢠⡞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⠈⣿⡀⢸⣿⣿ ⠀⠀⠀⢀⡴⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣇⢸⣿⣿ ⠀⢀⡴⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⢸⣿⣿ ⠀⠘⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⢻⣿⣿ ⠀⠀⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⢸⣿⣿ ⠀⠀⠘⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡔⠀⠻⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡏⢸⣿⣿ ⠀⠀⠀⠹⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⠏⠀⠀⠀⠹⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠔⢠⣿⠀⢸⣿⣿ ⠀⠀⠀⠀⠙⢦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⠏⠀⠀⠀⠀⠀⠈⠳⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠖⢁⣰⣿⡏⠀⢸⣿⣿ ⠀⠀⠀⠀⠀⠈⠳⢤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡾⠃⠀⠀⠀⠀⠀⠀⠀⠀⠈⠓⢤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣶⣿⣿⡏⠴⠀⢸⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠙⠓⠦⣤⣄⣀⠤⠤⠤⠤⠐⣚⣤⣤⠴⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠂⠀⠀⠀⢀⣀⣀⣀⣀⣠⣤⣤⣴⣾⣿⣿⣿⣿⣿⡇⣾⠀⢸⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠙⣿⠁⠀⣠⡾⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⠀⢸⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⡄⠰⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠒⠀⢸⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣿⣿⣿⣿⣿⣿⣿⣿⣿⣉⠀⢸⣿⣿ ⡁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢻⣿⣿⣿⣿⣿⣿⠟⠀⠀⢸⣿⣿ ⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⣿⣿⡿⠛⣿⠀⠀⠀⢸⣿⣿

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣀⣀⡀⠀⠀⣀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⠾⠛⢉⣀⠤⠤⠭⢟⣦⣯⣇⣠⣾⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⠋⠁⣠⠒⠉⣠⠒⠁⡠⠚⢻⡿⣿⢿⡣⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⡟⠁⢀⠎⠁⡰⠊⠀⣠⠊⠀⠀⣼⠇⢋⢇⣷⢱⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢠⡟⠀⣠⠏⣠⠞⢠⢎⣴⠃⡠⠀⢠⣿⠀⢸⢸⣿⠞⡆⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢠⡿⠀⣼⡟⡴⢁⡴⡣⠛⡿⢠⠃⢀⢿⡇⠀⢸⢈⣿⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠠⡟⡇⡼⢸⡟⢁⣾⣿⣧⣰⣧⠇⢀⣾⠏⣇⠀⢸⢸⣿⡆⣇⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠠⠁⠁⣇⢇⣸⢃⡞⠀⠫⠿⢹⡟⣠⢾⠏⠀⢸⡇⡆⡸⡌⣷⡼⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣿⢸⡏⣼⡇⠀⠀⠀⢸⠵⠋⠃⢸⣟⢿⣧⢣⡇⣿⡘⣿⣿⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢀⣴⣿⣿⣿⣿⣾⣸⢰⣿⣣⠀⠀⠀⠀⢀⣀⣀⣀⣠⣾⣧⣾⣷⣿⣿⣾⣯⣣⡀⠀⠀⠀⠀⠀ ⠀⢠⣾⣿⣿⣿⣿⣿⣿⡿⠿⢧⣙⣆⣀⣠⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡹⣦⡄⠀⠀⠀ ⢀⣿⣿⣿⣿⡟⠋⠀⠀⠀⠀⠀⠀⠀⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣽⠁⠀⠀⠀ ⢸⣿⣿⣿⣿⣧⢀⡀⠀⢀⡄⠀⠀⢀⣼⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⡿⠟⠉⢣⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣇⣤⣴⣿⣷⣦⣤⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠋⠁⠀⣄⡌⣇⠀⠀ ⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣤⣌⡀⢸⣣⠸⡄⠀ ⠀⢿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠉⠙⠻⣄⡧⠀ ⠀⢈⣿⣷⣿⣿⣿⡿⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⢻⠉⠉⠉⠛⠛⠻⢿⣿⣿⣿⣀⡒⠢⡠⠴⣮⡇⠀ ⠀⠀⣿⣿⣿⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣇⠀⠀⠀⠀⠀⠀⠉⢿⣿⣿⣷⣀⣈⣴⡟⠃⠀ ⠀⠀⢼⣿⡟⠁⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⡿⠏⢙⡇⠀⠀ ⠀⠀⣾⣿⣷⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣱⡇⠀⠀⠀⠀⠀⠀⠀⢠⣿⠟⠁⠀⣀⡜⡇⠀⠀ ⠀⠀⠘⣿⣿⣧⠀⠀⠘⠢⠤⣄⣀⠀⠀⠀⣤⠞⡟⠢⡀⠀⠀⠀⠀⠀⣠⣿⢁⡖⣠⢾⣫⠃⡇⠀⠀ ⠀⠀⠀⠈⠿⣿⣗⠄⠀⠀⠀⠀⠀⠀⠀⡴⠃⠀⡇⠀⠈⠛⢲⣶⡶⢾⣿⡇⣼⡾⣽⣯⠃⠀⡇⠀⠀ ⠀⠀⠀⠀⠀⠈⢿⣾⡄⠀⠀⠀⠀⢀⡞⠀⠀⠀⠀⠀⠀⠐⣾⣿⣷⠏⣿⢠⡟⣰⣿⠇⠀⢰⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢸⡅⠀⠀⠀⠀⠃⠀⠀⠀⠀⠀⠀⠀⠀⣿⡿⠋⠀⣿⡞⢀⣿⡟⠀⠀⡜⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⡀⠀⠈⣿⠀⢸⠏⢣⠀⠀⡇⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⡾⡼⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠳⡀⠀⢿⠀⢸⠀⠈⠀⠀⢧⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣸⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠹⡄⠈⢇⠀⠀⠀⠀⠀⠘⠀⠀⠀ ⠀⠀⠀⠀⠀⢠⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⡆⠀⠀⠀⢀⠀⠀⠱⡀⠈⠳⢤⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⡜⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠇⠀⠀⢷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⡇⠀⠀⠀⠀⠀⠀⠠⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢇⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣼⠀⠀⠀⠀⠀⠀⠀⠀⢳⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣆⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢰⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣦⡀⠀⠀⠀⠀⠀⠀ ⠀⠀⢀⡎⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢳⡀⠀⠀⠀⠀⢠⠇⠀⠀⠀⠀⠀⢀⡿⢹⣄⠀⠀⠀⠀⠀ ⠀⠀⡶⡃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠱⣄⠀⠀⠀⡞⠀⠀⠀⠀⠀⣠⡾⠁⡜⢇⡀⠀⠀⠀⠀ ⠀⣴⢧⣈⠓⠤⢄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣄⣀⡜⠀⠀⠀⠀⢀⠔⢱⣣⠊⠀⠈⢧⢠⡀⠀⠀ ⠰⠃⠀⢸⠋⠒⠢⢤⣉⠉⠒⠢⢤⣄⡀⠀⠀⠀⢹⡟⠀⠀⠀⠀⣰⠇⢀⡏⠘⣄⠀⠀⠈⢧⠙⢄⠀ ⠀⠀⠠⠋⠀⠀⠀⣼⠀⠉⠉⠒⠦⠤⣈⡉⠓⢶⢄⣇⠀⠀⠀⢠⠧⠤⢸⠀⠀⠈⠢⡀⠀⠈⠳⡀⠳

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠠⠀⠀⣀⣠⠴⠶⠀⠀⠀⣀⣴⠞⠋⠀⢀⡴⠋⢁⣤⠶⠒⠚⣻⡛⣿⣿⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣶⠋⠁⠀⠀⠀⣠⣾⣿⠁⠀⠀⢠⠊⢀⣴⠟⠁⢀⣠⣾⢻⡶⣽⠃⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠊⠛⣯⣳⣄⡠⠴⠛⠉⡜⡇⠀⠀⢰⠏⢠⡟⠁⣠⡴⣻⡟⣱⡏⢠⡏⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⠀⠀⠀⠀⣿⡇⠀⠀⠀⢸⢹⠁⠠⠀⡞⣠⢏⣴⡯⣿⡿⣻⠟⡹⣱⡿⠀⠀⠀⠀⠀⡔ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢇⠀⠀⠀⠀⠸⣧⠀⠀⠀⡌⣼⠀⡄⢸⡿⣿⣿⣿⣍⢁⡾⠃⣼⣿⡿⠁⠀⠀⠀⠀⢰⠇ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡄⠀⠀⠀⠀⢘⡆⠀⠀⣧⣿⠀⣿⢸⣧⡀⢉⡽⠟⢋⣤⣾⠿⢻⠇⠀⠀⠀⠀⠀⡿⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢇⠀⠀⠀⠀⠘⣿⡀⠀⢹⢻⠀⢹⠈⡏⠻⠃⠀⠀⠀⢸⠻⣿⡏⠀⠀⠀⠀⢀⡼⠁⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⡄⠀⠀⠀⠀⠸⣷⣰⣾⣾⡇⣴⠀⡿⡄⠀⢀⣀⡄⠙⡀⣿⠀⠀⠀⠀⠀⢨⡇⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠱⡀⠀⠀⠀⠀⠈⠟⢿⣿⠇⢻⡀⣿⣎⠀⠀⠙⠀⠀⣻⠃⠀⠀⠀⠀⢀⣾⡇⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⡄⠀⠀⠀⠀⠀⠀⣹⠀⢨⣧⣸⡓⠹⣶⣶⡾⠋⡇⠀⠀⠀⠀⢀⢿⢱⡇⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⡄⠄⠀⠀⠀⡴⠃⣴⡿⢻⡿⡷⠶⠛⠋⠁⢸⠀⠀⠀⠀⢠⠋⣾⠈⡇⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣸⣦⣴⡶⠯⣖⣚⣭⠤⠀⠀⠀⠀⠀⠀⢠⠇⠀⠀⠀⠀⠈⢰⡟⠀⡇⠀⠀ ⠀⠀⠀⠀⠀⠀⢀⡤⠔⠊⠉⠉⠀⠀⡠⠄⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⡏⠀⠀⠀⠀⢀⣴⣿⣿⠀⣷⡀⠀ ⠀⠀⣠⣤⠔⠊⠁⠀⠀⠀⠀⢠⠔⠉⢀⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣇⠀⠀⣠⣰⣿⣿⣿⣿⠀⡇⡇⠀ ⢰⠟⠓⠂⠀⠀⠀⠀⠀⠀⡰⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⣿⠀⢰⣿⣿⡟⢸⠃⣿⠀⡷⢳⠀ ⢸⠀⠀⠀⠀⠀⠠⠀⢀⡾⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⠃⢀⣾⣿⣿⠀⣿⠀⣿⠀⣇⠈⡆ ⠘⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡴⠃⢠⣿⣿⣿⡇⢀⣿⢀⣿⠀⢸⠀⠀ ⣇⡄⠀⠀⠀⠀⠀⠀⠸⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢤⠞⢁⣴⣿⣿⣿⣿⡇⢸⡿⢸⢻⠀⢸⡀⠀ ⠸⣳⠀⠀⠀⠀⠀⠀⠀⠘⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣴⣿⣶⣿⣿⣿⣿⣿⣿⡇⢸⡇⣾⠸⠀⢸⡇⠀ ⠀⠙⢧⣀⠀⠀⠀⠀⠀⢀⣼⡷⠦⢄⣀⣀⣀⣀⣀⣠⡤⠖⠛⠉⣼⣿⣿⣿⣿⣿⣿⣹⣿⡇⠸⣇⡏⢰⠀⠈⠁⠀ ⠀⠀⠀⠈⠛⠒⢶⢴⡞⣽⠟⠀⠀⠀⠈⠻⣍⣁⠂⢻⢦⠀⠀⠀⡽⣿⣿⣿⣿⣻⡟⣿⣿⣷⢨⢹⠀⠘⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠸⣿⠀⡷⡄⠀⠀⠀⠀⠀⠀⠙⠛⠛⠛⠲⢤⣀⠱⢿⣿⣿⢸⣿⡇⣿⠋⠀⡖⡌⢰⠰⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠈⠁⢱⡱⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠲⣿⣿⣼⣿⠇⣿⠀⣶⢹⡇⢸⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢧⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣸⣿⣿⣷⡏⢰⣿⡸⠀⢸⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⡄⠀⠀⠘⢤⠀⠀⠀⠀⠀⠀⠀⠀⢻⣠⣀⣹⣿⣻⣿⣃⡀⢸⠇⠀⠘⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡿⡄⠀⠀⠈⢟⠀⠀⠀⠀⠀⠀⠀⠰⠿⣷⣘⣿⣿⣿⣿⣿⣾⡆⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠙⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠻⣿⣿⣿⣎⢹⣿⣿⢀⡙⠟⣧⣴⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣧⣿⣿⣿⣿⣿⣧⠀⠻⠻⣴⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⣿⡿⢿⣋⣏⣤⣴⢤⣤⣽⡀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⣿⣿⢿⣿⣹⣿⣿⣿⣿⣻⣺⣿⣿⣷⡀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⣿⣿⣍⠼⢿⣿⡿⠿⠛⢉⣻⣄⣹⣇⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠳⣿⠗⣟⣹⡮⢛⣂⣼⠖⢉⢙⣺⣿⣿⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢀⡠⠚⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡬⡿⠖⣿⠽⡤⠿⠟⠓⢦⣀⣾⡟⢾⣿⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣠⠐⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠀⢀⡿⣴⣯⢤⣀⡈⠀⢀⣤⠀⢀⣿⣛⡟⠻⢻⠀⠀⠀

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⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠ ⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾ ⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣸⣿ ⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣠⣤⡶⣄⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣶⣾⠟⠋⠉ ⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⡴⢟⣽⠟⠁⡱⢸⣷⠉⠙⠲⣄⠀⠀⠀⠀⠀⠀⠀⠀⣾⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣤⣶⣶⣿⣿⡿⠟⠀⠀⠀⠀ ⣿⣿⡟⠀⠀⠀⠀⣀⣀⣤⣤⣤⣶⠾⢿⣧⠈⠻⣷⣀⣤⣶⣿⡟⠸⠀⠀⠘⠓⢦⣄⠀⠀⠀⠀⢸⣿⠇⠀⠀⠀⠀⠀⠀⢀⣀⣠⣤⣴⣶⣾⣿⣿⣿⣋⡵⠞⠛⠁⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣶⣶⣿⣿⡿⢛⣻⠟⠋⠁⢦⠸⣇⢧⠀⣹⣯⣿⣿⣟⣤⠴⠦⠤⠤⠷⠦⢭⣓⠀⠀⠀⣾⡿⣿⡄⠀⢀⣴⣴⣾⣿⡿⣿⡟⠛⢛⡟⢻⡙⠋⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⡉⠉⠉⠁⠀⠀⠡⠴⠛⠁⠀⠀⠀⠈⢧⣙⣴⣿⣿⡿⠟⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⢨⣙⢳⣾⣿⣿⣏⣿⣾⣿⣿⡿⠥⠄⣿⠋⠀⠈⠀⢧⠃⣷⠀⠀⠀⣀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⣤⠀⠀⠀⠀⢀⣠⣴⣿⣿⡿⠟⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢮⣽⣿⣿⠛⢻⣿⣿⠁⠀⠀⣠⣿⠀⢀⣠⣄⣬⣷⣧⣶⣶⣿⣿⣷⣶⣶⣦⣄⣀⡀⠀ ⠀⠀⠀⢀⣴⠋⠁⠀⣠⣴⣶⣿⣿⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠿⣿⣿⣭⣿⣿⣿⣿⣿⣿⣿⠿⠛⠛⠛⠿⣿⣿⣿⣿⣮⣿⣿⣿⣛ ⠀⠀⠀⠀⠀⠀⢀⣼⣿⣿⣿⠿⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⢹⡏⠍⠉⠉⠉⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠙⠻⠿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⣴⣿⣿⡿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣾⠏⡀⠀⡾⠀⢈⡗⠰⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠛⠿⠯ ⠀⠀⠀⣠⣶⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡟⢡⡾⠁⣸⠇⠀⢸⡅⠀⠀⠀⠀⠀⡇⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈ ⠀⢀⣴⣿⣿⡿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠟⢀⣿⠃⠀⡏⠀⠀⣻⡇⠀⡀⠀⠀⠀⣿⢩⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣾⣿⣿⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣆⠀⣣⠀⠀⢻⣷⠀⡳⠀⠀⣰⣿⡌⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣴⣆⠀⢠⣿⣿⠀⠁⠀⣰⣿⠯⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⣿⣿⣿⣤⣼⣿⣿⣦⣠⣿⣿⡏⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⡿⠿⢿⣿⣿⣳⡌⠋⠿⣿⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡶⠏⣀⠀⢰⠟⠛⠁⠀⠀⠸⢿⣾⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⡌⣿⣿⣿⣦⣤⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⠞⠩⠰⠾⠛⢦⡼⠀⠀⠀⠀⠀⠀⠘⢿⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣶⣭⣟⡳⣾⣭⣝⣛⡲⠶⠶⠶⠤⣤⣤⣤⣀⣀⣄⣀⣀⣤⣖⠋⠑⠲⠆⣀⡤⢖⡿⠃⠀⠀⠀⠀⠀⠀⠀⠉⢻⣧⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣟⣿⣿⣽⣿⣟⣶⡶⠶⢶⣤⣤⣤⣀⣤⣬⣭⣥⣈⣉⣐⣒⡒⠒⠒⠋⠀⠀⠤⠴⠞⢋⡀⠀⠀⠀⠀⠘⢿⣶⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣅⠉⠛⠛⠿⣿⣿⣷⣾⣿⣿⣿⣿⡶⠶⢤⣤⣉⡉⠙⠛⠚⠛⠿⢶⣛⡻⠿⢷⣖⡒⠲⠤⣤⣄⣈⣉⠉⠙⠛⠠⠬⢿⣿⣷⣦⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⬜⬜⬜⬛⬛⬛⬛⬜⬜⬜⬜⬜⬜⬜⬜⬜⬛⬛⬛⬛⬜⬜⬜⬜⬜ ⬜⬜⬛🟨🟨🟨🟨⬛⬜⬜⬜⬜⬜⬜⬜⬛🟨🟨🟨🟨⬛⬜⬜⬜⬜ ⬜⬛🟨🟨🟨🟨🟨🟨⬛⬜⬜⬜⬜⬜⬛🟨🟨🟨🟨🟨🟨⬛⬜⬜⬜ ⬛🏻⬛⬛🟨🟨🟨🟨⬛⬛⬛⬛⬛⬛⬛🟨🟨🟨🟨⬛⬛🏻⬛⬜⬜ ⬛🏻🏻🏻⬛🟨🟨🟨🟨🟨🟨🟨🟨🟨🟨🟨🟨🟨⬛🏻🏻🏻⬛⬜⬜ ⬛🏻🏻🏻⬛🟨🟨🟨🟨🟨🟨🟨🟨🟨🟨🟨🟨🟨⬛🏻🏻🏻⬛⬜⬜ ⬛🏻🏻⬛🟨🟨🟨⬜⬜⬜🟨🟨🟨⬜⬜⬜🟨🟨🟨⬛🏻🏻⬛⬜⬜ ⬜⬛⬛🟨🟨⬜⬜⬜⬜⬜⬜🟨⬜⬜⬜⬜⬜⬜🟨🟨⬛⬛⬜⬜⬜ ⬜⬜⬛🟨⬜⬛⬛⬛⬜⬜⬜⬜⬜⬜⬜⬛⬛⬛⬜🟨⬛⬜⬜⬜⬜ ⬜⬜⬛🟨⬛⬛⬜⬜⬛⬜⬜⬜⬜⬜⬛⬜⬜⬛⬛🟨⬛⬜⬜⬜⬜ ⬜⬛🟨⬜⬛⬛⬜⬜⬛⬜⬜⬜⬜⬜⬛⬜⬜⬛⬛⬜🟨⬛⬜⬜⬜ ⬜⬛⬜⬜⬛⬜⬛⬛⬛⬜⬜⬜⬜⬜⬛⬛⬛⬜⬛⬜⬜⬛⬜⬜⬜ ⬜⬛⬜⬜⬜⬛⬛⬛⬜⬜⬜⬛⬜⬜⬜⬛⬛⬛⬜⬜⬜⬛⬜⬜⬜ ⬜⬛⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬛⬜⬜⬜ ⬜⬛⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬛⬛⬛⬜ ⬜⬛🟪⬜⬜⬜⬜⬜⬛⬜⬜⬛⬜⬜⬛⬜⬜⬜⬜⬜⬜⬛🟪⬛⬛ ⬜⬜⬛🟪🟪🟪🟪⬜⬜⬛⬛⬜⬛⬛⬜⬜🟪🟪🟪🟪⬛🟪🟪🟪⬛ ⬜⬜⬛🟪🟪🟪🟪🟪🟪🟪🟪🟪🟪🟪🟪🟪🟪🟪🟪🟪⬛🟪🟪⬛⬛ ⬜⬜⬛🟨⬜⬜⬜⬛🟪🟪🟪🟪🟪🟪🟪⬛⬜⬜⬜🟨⬛⬛⬛⬛⬜ ⬜⬛⬛🟨⬜⬜⬜⬜⬛⬜⬜⬜⬜⬜⬛⬜⬜⬜⬜🟨⬛⬜⬜⬜⬜ ⬛🏻⬛🟨⬜⬛⬜⬜⬛⬜⬜⬜⬜⬜⬛⬜⬜⬛⬜🟨⬛⬜⬜⬜⬜ ⬜⬛⬛🟨⬜⬜⬛⬛⬜⬜⬜⬜⬜⬜⬜⬛⬛⬜⬜🟨⬛⬜⬜⬜⬜ ⬜⬜⬜⬛⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬛⬜⬜⬜⬜⬜ ⬜⬜⬛🏻🏻⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛🏻🏻⬛⬜⬜⬜⬜ ⬜⬜⬜⬛⬛⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬛⬛⬜⬜⬜⬜⬜

⠀⠀⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠀⠀ ⠀⢸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡇⠀ ⠀⣾⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣷⠀ ⢀⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⡀ ⢸⣿⣿⡇⢀⣠⣤⣶⣶⣶⣶⣶⣶⣤⣄⡀⣸⣿⣿⡇ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇ ⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⡿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢿⣿⣿ ⢸⣿⣇⠀⠈⠙⠻⢿⣿⣿⣿⣿⡿⠟⠋⠁⠀⣼⣿⡟ ⢸⣿⣿⣦⡀⠀⠀⠀⢈⣿⣿⡁⠀⠀⠀⢀⣴⣿⣿⡇ ⢸⣿⡿⣿⣿⣿⣶⣶⣿⣿⣿⣿⣶⣶⣿⣿⣿⢿⣿⡇ ⢸⣿⠀⠀⠈⠙⠻⢿⣿⣿⣿⣿⡿⠟⠋⠉⠀⠀⣿⡇ ⠈⡿⠀⠀⠀⠀⠀⠀⠈⠉⠉⠁⠀⠀⠀⠀⠀⠀⢿⠁ ⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀

⠄⠄⠄⢰⣧⣼⣯⠄⣸⣠⣶⣶⣦⣾⠄⠄⠄⠄⡀⠄⢀⣿⣿⠄⠄⠄⢸⡇⠄⠄ ⠄⠄⠄⣾⣿⠿⠿⠶⠿⢿⣿⣿⣿⣿⣦⣤⣄⢀⡅⢠⣾⣛⡉⠄⠄⠄⠸⢀⣿⠄ ⠄⠄⢀⡋⣡⣴⣶⣶⡀⠄⠄⠙⢿⣿⣿⣿⣿⣿⣴⣿⣿⣿⢃⣤⣄⣀⣥⣿⣿⠄ ⠄⠄⢸⣇⠻⣿⣿⣿⣧⣀⢀⣠⡌⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⠿⣿⣿⣿⠄ ⠄⢀⢸⣿⣷⣤⣤⣤⣬⣙⣛⢿⣿⣿⣿⣿⣿⣿⡿⣿⣿⡍⠄⠄⢀⣤⣄⠉⠋⣰ ⠄⣼⣖⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⢇⣿⣿⡷⠶⠶⢿⣿⣿⠇⢀⣤ ⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿⣿⡇⣿⣿⣿⣿⣿⣿⣷⣶⣥⣴⣿⡗ ⢀⠈⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠄ ⢸⣿⣦⣌⣛⣻⣿⣿⣧⠙⠛⠛⡭⠅⠒⠦⠭⣭⡻⣿⣿⣿⣿⣿⣿⣿⣿⡿⠃⠄ ⠘⣿⣿⣿⣿⣿⣿⣿⣿⡆⠄⠄⠄⠄⠄⠄⠄⠄⠹⠈⢋⣽⣿⣿⣿⣿⣵⣾⠃⠄ ⠄⠘⣿⣿⣿⣿⣿⣿⣿⣿⠄⣴⣿⣶⣄⠄⣴⣶⠄⢀⣾⣿⣿⣿⣿⣿⣿⠃⠄⠄ ⠄⠄⠈⠻⣿⣿⣿⣿⣿⣿⡄⢻⣿⣿⣿⠄⣿⣿⡀⣾⣿⣿⣿⣿⣛⠛⠁⠄⠄⠄ ⠄⠄⠄⠄⠈⠛⢿⣿⣿⣿⠁⠞⢿⣿⣿⡄⢿⣿⡇⣸⣿⣿⠿⠛⠁⠄⠄⠄⠄⠄ ⠄⠄⠄⠄⠄⠄⠄⠉⠻⣿⣿⣾⣦⡙⠻⣷⣾⣿⠃⠿⠋⠁⠄⠄⠄⠄⠄⢀⣠⣴ ⣿⣿⣿⣶⣶⣮⣥⣒⠲⢮⣝⡿⣿⣿⡆⣿⡿⠃⠄⠄⠄⠄⠄⠄⠄⣠⣴⣿⣿⣿

⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬛⬛⬛⬛⬛⬛⬛⬜⬜⬜⬜⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬜⬜⬜⬛⬛🟥🟥🟥🟥🟥🟥🟥⬛⬛⬜⬜⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬜⬛⬛🏽🟥🟥🟥🟥🟥🟥🟥🟥🟥🏽⬛⬛⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬛🏽🏽🟥🟥🟥🟥🟥🟥🟥🟥🟥🟥🟥🏽⬛⬛⬜⬜⬜⬜ ⬜⬜⬜⬜⬛🌫️🌫️🌫️🟥🟥🟥🟥🟥🟥🟥🟥🟥🟥🟥🌫️🌫️🏽⬛⬜⬜⬜ ⬜⬜⬜⬛🌫️🌫️🌫️🌫️🟥🟥🟥🟥🟥🟥🟥🟥🟥🟥🟥🌫️🌫️🌫️🏽⬛⬜⬜ ⬜⬜⬛🌫️🌫️🌫️🌫️🌫️🟥🟥🟥🟥🟥🟥🟥🟥🟥🟥🟥🌫️🌫️🌫️🏽⬛⬜⬜ ⬜⬛🟥🟥🏽🌫️🌫️🌫️🌫️🟥🟥🟥🟥🟥🟥🟥🟥🟥🌫️🌫️🌫️🏽🟥🟥⬛⬜ ⬜⬛🟥🟥🟥🌫️🌫️🌫️🌫️🌫️🟥🟥🟥🟥🟥🟥🟥🟥🌫️🌫️🌫️🏽🟥🟥🟥⬛ ⬛🟥🟥🟥🟥🌫️🌫️🌫️🌫️🌫️🌫️🟥🟥🟥🟥🟥🟥🌫️🌫️🌫️🌫️🏽🟥🟥🟥⬛ ⬛🟥🟥🟥🟥🌫️🌫️🌫️🌫️🌫️🌫️🌫️🌫️🌫️🌫️🌫️🌫️🌫️🌫️🌫️🌫️🏽🟥🟥🟥⬛ ⬛🟥🟥🟥🟥🌫️🌫️🌫️🌫️🌫️🌫️🌫️🌫️🌫️🌫️🌫️🌫️🌫️🌫️🌫️🌫️🏽🟥🟥🟥⬛ ⬛🟥🟥🟥🟥🌫️🌫️🌫️🌫️🌫️🌫️🌫️🌫️🌫️🌫️🌫️🌫️🌫️🌫️🌫️🌫️🏽🟥🟥🟥⬛ ⬛🟥🟥🟥🟥🌫️🌫️🌫️🌫️🌫️🏽⬛⬛⬛⬛⬛⬛🏽🌫️🌫️🌫️🏽🟥🟥🟥⬛ ⬜⬛🟥🟥🏽🌫️🌫️🌫️🌫️🏽⬛🟧🏻🏻🏻🟧🟧⬛🏽🌫️🌫️🏽🟥🟥⬛⬜ ⬜⬛🟥🏽🌫️🌫️🌫️🌫️🏽⬛🟧🏻🏻🏻🏻🏻🏻🟧⬛🏽🌫️🏽🏽🟥⬛⬜ ⬜⬜⬛🌫️🌫️🌫️🌫️🏽⬛🟧🏻🏻🏻⬛🏻🏻⬛🏻⬛🏽🏽🏽🏽⬛⬜⬜ ⬜⬜⬜⬛🏽🏽🏽🏽⬛🏻🏻🏻🏻⬛🏻🏻⬛🏻🟧⬛🏽🏽⬛⬜⬜⬜ ⬜⬜⬜⬜⬛⬛🏽⬛🟧🏻🏻🏻🏻⬛🏻🏻⬛🏻🟧⬛⬛⬛⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬜⬛⬛🟧🏻🏻🏻🏻🏻🏻🏻🏻🏻🟧⬛⬜⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬜⬜⬛🟧🏻🏻🏻🏻🏻🏻🏻🏻🏻🟧⬛⬜⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬜⬜⬜⬛🟧🏻🏻🏻🏻⬛⬛🏻🏻⬛⬜⬜⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬜⬜⬜⬜⬛🟧🏻🏻🏻🏻🏻🏻🟧⬛⬜⬜⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬜⬜⬜⬛🟦⬛⬛⬛⬛⬛⬛⬛⬛⬜⬜⬜⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬜⬜⬛🟧⬛🟦🟦⬛🟧🟧🟧⬛🟦⬛⬜⬜⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬛⬛🏻🏻⬛🟦🟦⬛🟧🏻🏻⬛🟦⬛⬛⬛⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬛🏻🏻🏻🟧⬛🟦🟦⬛🟧🟧🟧⬛🟦⬛🟧🏻⬛⬜⬜⬜⬜ ⬜⬜⬜⬛🏻🏻🏻🟧⬛🟦🟦⬛⬛⬛⬛⬛⬛🟦⬛🟧🟧🏻⬛⬜⬜⬜ ⬜⬜⬜⬛🟧🏻🟧🟧⬛🟦🟦⬛🏽🌫️🌫️🌫️🌫️⬛⬛🟧🟧🟧⬛⬜⬜⬜ ⬜⬜⬜⬜⬛⬛⬛⬛⬛⬛⬛🏽🏽🌫️🌫️🌫️🌫️🌫️⬛⬛⬛⬛⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬜⬜⬛🏽🏽🏽🏽🌫️🌫️🌫️🌫️🌫️🌫️⬛⬜⬜⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬜⬜⬛⬛⬛⬛🏽🏽🏽🏽🌫️🏽⬛⬛⬛⬜⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬜⬛🟫🟧🟧🏿⬛⬛⬛⬛⬛⬛🏿🟫🟧⬛⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬜⬛🟫🟫🟫🟫🟫🏿🏿⬛🏿🏿🟫🟫🟫⬛⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬜⬜⬛🏿🏿🏿🏿🏿⬛🏿🏿🏿🏿🏿🏿⬛⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬜⬜⬜⬛⬛⬛⬛⬛⬜⬛⬛⬛⬛⬛⬛⬜⬜⬜⬜⬜⬜

⠀⠀⠀⢀⡀⠀⠀⢀⣀⣀⣀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠁⣀⡴⢾⣻⣹⣼⡿⣿⣟⣿⢶⣤⡀⠀⠀⠀⠀⠀⣀⠰⢒⢦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⣰⣾⣿⣿⣿⢹⣿⣷⢺⣿⣿⡿⣿⡿⣿⣦⠀⠀⠀⠀⣽⣷⣻⣿⡿⠷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⣴⣿⣿⣻⣽⡞⣿⢿⡏⣿⣿⣿⠇⠼⣧⠈⢿⣧⠀⠀⠀⠀⡿⡹⡉⡀⠤⢌⡓⢄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⡿⣯⢾⡏⡇⠀⢻⡿⡇⢹⣿⣿⣷⣦⠈⠀⢙⢿⣇⠀⠀⠀⠙⠷⡷⣽⡄⠀⠈⠳⣝⠦⣄⠀⠀⠀⠀⠀⠀⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⡇⣧⠈⣧⢧⠀⢸⣷⣿⣾⠇⠙⠉⠁⠀⠀⠻⢿⣿⠀⠀⠀⠀⠀⠀⠈⠛⠋⣀⣤⡾⠀⠈⠓⢄⡀⠀⣀⣤⣟⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢻⡇⣿⡀⣿⣟⣇⣾⢿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠘⢿⠄⠀⠀⠀⠀⠀⣀⡴⠋⠀⠀⠙⠢⣄⠀⣠⠵⠚⠛⠋⠁⠁⠉⠙⠳⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠘⣧⢸⣷⣾⣿⣿⣿⣏⢻⣿⣧⠀⠀⠀⠀⢠⢤⣶⣿⠀⠀⣠⡶⠭⠿⢷⢤⡀⠀⠀⠀⢀⠜⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⣧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢹⣾⡟⣿⣿⡌⠻⠿⣦⣿⡜⢷⣄⠀⠀⠀⠀⠀⢼⠀⣴⣏⠀⠀⠀⠀⠀⠉⠲⣤⠞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢸⡿⣷⢸⡿⣿⣴⡶⠾⣝⣿⣄⡈⠃⠀⠀⠀⣠⣾⣿⣟⡘⣆⠀⠀⠀⠀⣠⠞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⡀ ⠀⠘⠀⢹⣞⣷⣿⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣺⠋⡜⠀⢸⠒⠂⠈⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠇⠀⠀⠀⠀⠀⠀⠀⢸⡇ ⠀⠀⠀⠀⣿⡿⣟⢿⡿⣿⣦⡀⠀⠀⠀⠀⠀⠘⢿⡗⢴⠃⠀⠠⠃⠀⠀⠀⠀⣀⣀⣀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣮⣄⡀⠀⠀⠀⠀⠀⠀⣸⠀ ⠀⠀⠀⢀⡟⠁⢹⡿⣿⣿⣻⣿⣦⡀⠀⠀⠀⠀⢈⣳⣞⠆⠀⠀⠀⣠⠴⠚⠉⠀⠀⠀⠀⠀⠉⠙⠦⣄⠀⠀⠀⠀⠀⠀⢀⡴⠋⠈⡿⠁⠀⠀⠀⠀⠀⠀⡏⠀ ⠀⠀⠀⠉⠀⠀⢰⠿⠻⠃⢉⣏⡇⢀⡀⣤⡤⠖⠋⠀⠀⠐⠒⠒⠋⠁⠀⢀⣀⡄⢀⠀⠀⠀⠀⠀⠀⠈⠳⡖⠒⠲⠴⠭⢅⣀⣲⠝⠁⠀⠀⠀⠀⠀⠀⢸⡇⠀ ⠀⠀⠀⠀⠀⠀⠋⣀⣴⣾⣟⠿⠏⠛⠉⠁⠀⠀⠀⢀⡴⠂⠀⠀⠀⠀⣴⣿⣿⣷⣿⡆⠀⠀⠀⠀⠀⠀⠀⠘⡄⢀⣀⠀⠀⠈⠀⠛⠢⣄⡀⠀⠀⠀⠀⡞⡇⠀ ⠀⠀⠀⢠⢖⣴⡾⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠋⠀⠀⠀⠀⠀⠀⣿⣯⣟⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⢹⠀⠈⠉⠓⠲⠤⢀⠀⠀⠉⠲⢤⣄⠀⣇⡇⠀ ⠀⠀⠀⡰⢻⢽⠀⠀⠀⠀⠀⠀⠀⠀⠀⡆⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠹⢿⣿⠿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⣿⠁⠀ ⠀⠀⠀⠀⠈⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣆⣀⣀⣂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡸⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⠀⠀ ⠀⠀⠀⠀⠀⠸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⢷⠀⠀⠙⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⠀⠀ ⠀⠀⠀⠀⠀⠀⠹⡄⠀⠀⠀⠀⠀⠀⠀⠀⠻⣆⠀⠀⠘⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠘⢦⡀⠀⠀⠀⠀⠀⠀⠉⠚⢦⡀⠀⠈⠳⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⡀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢦⡀⠀⠀⠀⠀⠀⠀⠈⠻⡉⠒⠶⠚⠛⠦⣤⣀⣀⡀⠀⢀⣀⣤⠴⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⡇⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣄⠀⠀⠀⠀⠀⠀⠀⠳⡀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠛⠓⠶⠶⠶⠤⠤⢤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣷⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠧⡀⠀⠀⠀⠀⠀⠀⠹⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠲⢄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢦⡀⠀⠀⠀⠀⠀⢹⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠢⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣤⣤⣶⣶⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠠⣶⣶⣶⣾⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⠆⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠙⠿⣿⣿⠿⢿⣿⣟⠉⠉⣠⣶⣶⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣤⣀⠀⠀⠀⢸⣿⣿⣷⠀⠈⢻⣿⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢠⣿⣿⣷⠀⠀⠘⣿⣿⣿⠀⠀⣼⣿⣿⡿⠃⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠠⣾⣿⣿⣿⡿⠉⠀⣿⣿⣿⠀⡸⠿⠛⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠘⢿⣿⠟⠀⠀⢀⣿⣿⣿⣤⣤⣶⣶⣶⣿⣿⣿⣿⣿⣿⣿⣦⣀ ⠀⣀⣀⣠⣤⣤⣤⣤⣴⣶⣶⣿⣿⣿⣿⣿⣿⣿⡿⠿⠿⠿⠿⠛⠛⠿⠿⠿⠿⠛ ⠺⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⠛⠛⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠙⠿⠟⠋⠉⠁⠀⠀⠀⠀⠀⠀⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

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⬜🟥⬜⬜🟧⬜⬜🟨⬜⬜🟩⬜⬜🟦⬜⬜🟪⬜ 🟥🟥🟥🟧🟧🟧🟨🟨🟨🟩🟩🟩🟦🟦🟦🟪🟪🟪 🟥🟥🟥🟧🟧🟧🟨🟨🟨🟩🟩🟩🟦🟦🟦🟪🟪🟪 🟥🟥🟥🟧🟧🟧🟨🟨🟨🟩🟩🟩🟦🟦🟦🟪🟪🟪 🟥🟥🟥🟧🟧🟧🟨🟨🟨🟩🟩🟩🟦🟦🟦🟪🟪🟪 🟨🟨🟨🟨🟨🟨🟨🟨🟨🟨🟨🟨🟨🟨🟨🟨🟨🟨 🟨🟨🟨🟨🟨🟨🟨🟨🟨🟨🟨🟨🟨🟨🟨🟨🟨🟨 🟨🟨🟨🟨⬛⬛⬛🟨🟨🟨🟨⬛⬛⬛🟨🟨🟨🟨 🟨🟨🟨🟨⬛⬛⬛🟨🟨🟨🟨⬛⬛⬛🟨🟨🟨🟨 🟨🟨🟨🟨⬛⬛⬛🟨🟨🟨🟨⬛⬛⬛🟨🟨🟨🟨 🟨🟨🟨🟨🟨🟨🟨🟨🟨🟨🟨🟨🟨🟨🟨🟨🟨🟨 🟨🟨🟨🟨🟨🟨🟨🟨🟨🟨🟨🟨🟨🟨🟨🟨🟨🟨 🟩🟨🟨🟨🟨🟨🟨⬛🟨🟨⬛🟨🟨🟨🟨🟨🟨🟩 🟩🟩🟨🟨🟨🟨🟨⬛⬛⬛⬛🟨🟨🟨🟨🟨🟩🟩 🟩🟩🟩🟨🟨🟨🟨🟨🟨🟨🟨🟨🟨🟨🟨🟩🟩🟩 🟩🟩🟩🟩🟨🟨🟨🟨🟨🟨🟨🟨🟨🟨🟩🟩🟩🟩 🟩🟩🟩🟩🟩🟨🟨🟨🟨🟨🟨🟨🟨🟩🟩🟩🟩🟩 ⬜🟩🟩🟩🟩🟩🟨🟨🟨🟨🟨🟨🟩🟩🟩🟩🟩⬜

⢠⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⣿⡿⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⡟⣧⠙⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⠃⢹⡆⠈⠻⣦⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⠀⠀⢻⡄⠀⠈⠙⠷⣦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⠀⠀⠀⢻⣄⠀⠀⠀⠈⠙⢷⣦⠀⠀⠀⠀⠀⠀⠀⢀⣀⣴⣶⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⡄⠀⠀⠀⠹⣦⡀⠀⠀⠀⠀⠙⢷⣄⠀⠀⣀⣴⡾⠟⠋⠀⠀⠉⠛⠿⢶⣤⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠸⣧⠀⠀⠀⠀⠈⠻⣦⣄⠀⠀⠀⠀⢻⣶⠾⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠙⠻⣶⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠻⣧⡀⠀⠀⠀⠀⠀⠙⢷⣄⠀⠀⢸⣿⣤⣀⣀⠀⠀⣀⣀⣠⣤⣶⡶⠶⣿⣿⣿⣶⣶⣿⠿⠶⠶⢶⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠙⠻⣦⣄⡀⠀⠀⠀⠀⠙⢷⣤⣾⡿⠛⠛⠛⠛⠛⠛⠉⠉⠉⠁⠀⠀⠀⠙⢿⣦⡀⠀⠀⠀⠀⠀⠈⢻⣶⣤⣤⣄⣀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣉⣿⣷⣶⣤⣀⠀⢀⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣠⣤⣄⣀⣀⡙⣿⣆⠀⠀⠀⠀⠀⠀⢻⣇⠀⠉⠙⠻⣦⣄⠀⠀ ⠀⠀⢠⣶⠟⠋⠁⠀⠀⠈⠙⢿⣾⡟⠀⠀⠀⠀⠀⠀⠀⣠⣴⣾⣿⡿⠛⠋⠉⠉⠉⠛⠛⠻⣷⡀⠀⠀⠀⠀⠈⣿⡀⠀⠀⠀⣸⡿⠀⠀ ⠀⠀⠀⢻⡆⠀⠀⠀⠀⠀⠀⣼⣿⠁⠀⠀⠀⠀⢀⣴⡿⠟⠋⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣄⠀⠀⠀⠀⢹⣇⠀⠀⠀⢿⡇⠀⠀ ⠀⠀⠀⢸⡇⠀⠀⠀⠀⣠⣾⠟⠁⠀⠀⠀⢠⣾⣿⡏⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⣀⡀⠀⠀⠀⠀⢻⣆⠀⠀⠀⠘⣿⡄⠀⠀⠘⣷⡀⠀ ⠀⠀⠀⠸⡇⠀⠀⢀⣾⠟⠁⠀⠀⠀⢀⣴⣿⢿⡿⠀⠀⠀⠀⢀⣴⣾⡿⠟⠛⠛⠛⠻⠿⣷⣤⠀⠀⢻⣆⠀⠀⠀⠻⣿⣆⠀⠀⠘⣷⡀ ⠀⠀⠀⠀⣧⠀⠀⢸⡟⠀⠀⠀⠀⢠⣾⡿⠁⣼⡇⠀⠀⠀⢠⡿⠋⠁⠀⠀⢀⣀⡀⠀⠀⠈⢻⣧⠀⢸⣿⣆⠀⠀⠀⠙⣿⡄⠀⠀⠘⣷ ⠀⠀⠀⠀⢿⡄⠀⢸⣷⠀⠀⠀⢀⣿⠟⠀⠀⢻⣧⠀⠀⠀⣾⡇⠀⠀⣴⠿⠛⠛⣿⣇⠀⠀⢸⡿⠀⣾⠿⣿⣇⠀⠀⠀⣿⠁⠀⠀⠀⢹ ⠀⠀⠀⠀⠈⢿⣦⣨⣿⣧⠀⠀⣼⡟⠀⠀⠀⢸⣿⣷⣤⣤⣿⣇⠀⢸⣿⠀⠀⠀⢸⣿⠀⠀⢸⣇⣼⡏⠀⣿⣿⠀⠀⠀⣿⠀⠀⠀⢀⣾ ⠀⠀⠀⢀⣴⡾⠛⠋⠛⠻⢷⣤⣿⠃⠀⠀⠀⢸⣿⡏⠙⠿⣿⣿⣄⠀⢿⣦⣀⣀⣾⡟⠀⠀⣿⣿⣿⠁⠀⣿⡏⠀⠀⢰⣿⣠⣴⠾⠛⠁ ⠀⠀⠀⠈⠛⢷⣄⠀⠀⠀⠈⢻⣿⠀⠀⠀⠀⠘⣿⣧⡀⠀⠀⠉⠙⠻⠿⠿⠿⠿⠛⠀⠀⠀⢨⣿⠃⠀⠀⣿⡇⠀⢀⣿⡟⠹⣧⡀⠀⠀ ⠀⠀⠀⠀⠀⠀⠹⣷⡀⠀⠀⠈⣿⡆⠀⠀⠀⠀⠉⠉⠻⢷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣴⡿⠃⠀⠀⢰⣿⠀⠀⣼⡿⠁⠀⠘⣷⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠸⣧⠀⠀⠀⠘⢷⡄⠀⠀⠀⠀⠀⠀⠀⠙⠿⣦⣄⠀⠀⠀⢀⣤⣾⡿⠟⠁⠀⠀⠀⣸⡏⠀⣴⡟⠁⠀⠀⠀⣿⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠈⠻⣦⣀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣿⣶⣾⡿⠟⠉⠀⠀⠀⠀⠀⣠⣿⣶⠿⠋⠀⠀⠀⠀⣸⡟⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣿⡀⠀⠀⠀⠀⠀⠈⠙⢷⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣴⠟⠋⠁⠀⠀⠀⠀⠀⢀⣴⡟⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢸⣧⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠷⣦⣄⣀⡀⠀⠀⠀⠀⠀⢀⣠⣴⠟⠋⠀⠀⠀⠀⠀⠀⣀⣠⣴⠟⠋⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⣷⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠛⠛⠛⠛⣿⡿⠟⠋⠀⠀⠀⠀⠀⣠⡶⠿⠛⠋⠉⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠛⠷⠶⣦⣤⡀⠀⠀⠀⠀⠀⠀⠀⣠⣾⠏⠀⠀⠀⠀⠀⠀⢀⣾⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠷⣦⣤⣀⣤⣴⠟⠋⣿⣤⡶⠶⣦⣤⣠⣴⠿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜🟥🟥⬜ ⬜⬜⬜⬜⬛⬛⬛⬛⬛⬛🟥🟥🟥⬜ ⬜⬜⬜⬛🟩🟩🟩🟩🟩🟩⬛🟥🟥🟥 ⬜⬜🟥🟥🟥🟥🟥🟥🟥🟥🟥🟥🟥🟥 ⬜⬛🟥🟥⬜⬜🟥🟥⬜⬜🟥🟥⬛🟥 ⬜⬛🟥🟥⬜⬛🟥🟥⬛⬜🟥🟥⬛⬜ ⬛⬛🟩⬛⬜⬛🟥🟥⬛⬜⬛🟩⬛⬛ ⬛🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩⬛ ⬛🟩🟩⬛🟩🟩🟩🟩🟩🟩⬛🟩🟩⬛ ⬛🟩🟩🟩⬛⬛⬛⬛⬛⬛🟩🟩🟩⬛ ⬜⬛🟩🟩⬛⬜⬜⬜⬜⬛🟩🟩⬛⬜ ⬜⬜⬛🟩🟩🟩🟩🟩🟩🟩🟩⬛⬜⬜ ⬜⬜⬜⬛⬛⬛⬛⬛⬛⬛⬛⬜⬜⬜

⬜⬜⬜⬜⬜⬜⬜⬜⬜⬛⬛⬛⬛⬛⬜⬜⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬜⬜⬜⬛🟩🟩🟩🟩🟩⬛⬜⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬜⬜⬛🟩🟩🟩🟩🟩🟩🟩⬛⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬜⬛🟩🟩🟩🟩🟩🟩🟩🟩🟩⬛⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬛🟩🟪🟪🟪🟪🟪🟪🟪🟪🟪🟩⬛⬜⬜⬜ ⬜⬜⬜⬜⬜🟪🟪🟪🟪🟪🟪🟪🟪🟪🟪🟪🟪🟪⬜⬜⬜ ⬜⬜⬜⬜🟪🟪🟪🟪🟪🟪🟪🟪🟪🟪🟪🟪🟪🟪🟪⬜⬜ ⬜⬜⬜🟪🟪🟪🟪⬜⬛🟪🟪🟪🟪🟪⬜⬛🟪🟪🟪⬜⬜ ⬜⬜🟪🟪🟪🟪🟪⬛⬛🟪🟪🟪🟪🟪⬛⬛🟪🟪🟪⬜⬜ ⬜🟪🟪🟪🟪🟪🟪⬛⬛🟪🟪🟪🟪🟪⬛⬛🟪🟪🟪⬜⬜ 🟪🟪🟪🟪🟪🟪🟪🟪🟪🟩🟩🟩🟩🟩🟪🟪🟪🟪⬜⬜⬜ ⬜🟪🟪🟪⬜⬛⬛🟩🟩🟩🟩🟩🟩🟩🟩🟩⬛⬛⬜⬜⬜ ⬜🟪🟪⬜⬛🟫🟫⬛🟩🟩🟩🟩🟩🟩🟩⬛🟫🟫⬛⬜⬜ ⬜🟪⬜⬛🟫🟫⬛🟩⬛⬛⬛⬛⬛⬛⬛🟩⬛🟫🟫⬛⬜ ⬜⬜⬛🟫🟫⬛🟩🟩⬛⬜⬜⬜⬜⬜⬛🟩🟩⬛🟫🟫⬛ ⬜⬜⬛🟫🟫⬛🟩🟩🟩⬛⬜⬜⬜⬛🟩🟩🟩⬛🟫🟫⬛ ⬜⬜⬛🟫🟫⬛🟩🟩🟩🟩⬛⬜⬛🟩🟩🟩🟩⬛🟫🟫⬛ ⬜⬜⬛🟫🟫⬛🟩🟩🟩🟩🟩⬛🟩🟩🟩🟩🟩⬛🟫🟫⬛ ⬜⬜⬜⬛⬛🟩⬛🟩🟩🟩🟩⬛🟩🟩🟩🟩⬛🟩⬛⬛⬜ ⬜⬜⬜⬛🟩🟩🟩⬛🟩🟩⬛⬛⬛🟩🟩⬛🟩🟩🟩⬛⬜ ⬜⬜⬛🟩🟩🟩🟩🟩⬛⬛⬜⬜⬜⬛⬛🟩🟩🟩🟩🟩⬛ ⬜⬜⬛🟩🟩🟩🟩🟩⬛⬜⬜⬜⬜⬜⬛🟩🟩🟩🟩🟩⬛ ⬜⬜⬛🟩🟩🟩🟩🟩⬛🟨🟨🟨🟨🟨⬛🟩🟩🟩🟩🟩⬛ ⬜⬜⬜⬛⬛⬛⬛⬛⬜⬜⬜⬜⬜⬜⬜⬛⬛⬛⬛⬛⬜

⬜⬜⬜⬜⬜⬜⬜⬜⬜⬛⬛⬛⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬜⬜⬜⬛🟪🟪🟪⬛⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬜⬜⬛🟪🟪🟪🟪🟪⬛⬜⬜⬜⬜⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬜⬜⬛🟪🟪⬜⬜🟪🟪⬛⬜⬜⬜⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬜⬜⬛🟪🟪⬜⬜⬜🟪🟪⬛⬜⬜⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬜⬜⬜⬛🟪🟪⬜⬜⬜🟪🟪⬛⬜⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬜⬜⬜⬜⬛🟪🟪⬜⬜⬜🟪🟪⬛⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬛🟪⬜⬜⬜⬜🟪🟪⬛⬜⬜⬜⬜ ⬜⬜⬜⬛⬛⬛⬛⬛⬛⬛⬛🟪🟪🟪⬜⬜⬜🏻🏻⬛⬜⬜⬜ ⬜⬜⬛🟪🟪🟪🟪🟪🟪🟪🟪🟪🟪🟪⬜⬜⬜⬜🏻🏻⬛⬜⬜ ⬜⬛🟪🟪⬜⬜⬜🟪🟪⬜⬜⬜⬜🟪🟪⬜⬜⬜⬜🏻🏻⬛⬜ ⬛🟪🟪⬜⬜⬜⬜⬜🟪🟪⬜⬜⬜⬜🟪🟪⬜⬜⬜⬜🏻🏻⬛ ⬜⬛🟪🟪⬜⬜⬜🟪🟪⬜⬜⬜⬜🟪🟪⬜⬜⬜⬜🏻🏻⬛⬜ ⬜⬜⬛🟪🟪🟪🟪🟪🟪🟪🟪🟪🟪🟪⬜⬜⬜⬜🏻🏻⬛⬜⬜ ⬜⬜⬜⬛⬛⬛⬛⬛⬛⬛⬛🟪🟪🟪⬜⬜⬜🏻🏻⬛⬜⬜⬜ ⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬛🟪⬜⬜⬜⬜🟪🟪⬛⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬜⬜⬜⬜⬛🟪🟪⬜⬜⬜🟪🟪⬛⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬜⬜⬜⬛🟪🟪⬜⬜⬜🟪🟪⬛⬜⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬜⬜⬛🟪🟪⬜⬜⬜🟪🟪⬛⬜⬜⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬜⬜⬛🟪🟪⬜⬜🟪🟪⬛⬜⬜⬜⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬜⬜⬛🟪🟪🟪🟪🟪⬛⬜⬜⬜⬜⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬜⬜⬜⬛🟪🟪🟪⬛⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬜⬜⬜⬜⬛⬛⬛⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜