Scribble Emoji Combos

Copy & Paste Scribble Emojis & Symbols ✎〰 | ✏️︵‿︵‿︵‿︵‿︵‿︵‿︵‿︵‿︵‿︵‿︵‿︵‿︵‿︵‿ | ✏️🖋️

✏️︵‿︵‿︵‿︵‿︵‿︵‿︵‿︵‿︵‿︵‿︵‿︵‿︵‿︵‿
˚ · .˚ ༘🦋⋆。˚☁︎░u░r░ ░t░x░t░ ░h░e░r░e░ ˚ · .˚ ༘🦋⋆。˚☁︎ 🍄🍓🧸🧺🪞🐻☕🧸📋🧋🍪˗ˏˋ ꒰ ✿ ꒱ ˎˊ˗
⚠🍄🐸✍🏻

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