Darn Emoji Combos

Copy & Paste Darn Emojis & Symbols 🇩🅰️Ⓜ🇳😙🤜💦😵‍💫 | 💬💬 | ⋆꙳•̩̩͙❅*̩̩͙‧͙ ‧͙*̩̩͙❆

THESES ARE SOME ROASTS TO TELL YOUR RUDE PEOPLE ʚ🍄🌿Bruh!🌿🍄ɞ😩Did I ask?😩💅🏼I don't shut up i grow up and when i see you i throw up💅🏼🚮SAYS THE ONE WHO BELONGS IN THE TRASH🚮 😝😝😝😝😝😝😝😝😝😝
🇩🅰️Ⓜ🇳😙🤜💦😵‍💫
⋆꙳•̩̩͙❅*̩̩͙‧͙ ‧͙*̩̩͙❆ ͙͛ ˚₊⋆/ᐠ - ˕ -マ⁩▄︻デ══━一٩(ˊᗜˋ*)و⋆꙳•̩̩͙❅*̩̩͙‧͙ ‧͙*̩̩͙❆ ͙͛ ˚₊⋆

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