Pile of Poo Emojis & Text

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⬜️⬜️⬜️⬜️⬜️📜⬜️⬜️⬜️⬜️⬜️ ⬜️⬜️⬜️⬜️⬜️📜🟫⬜️⬜️⬜️⬜️ ⬜️⬜️⬜️📜📜📜📜🟫⬜️⬜️⬜️ ⬜️⬜️🟫🟫🟫🟫🟫🟫🟫⬜️⬜️ ⬜️⬜️️📜📜📜📜📜📜📜⬜️⬜ ⬜️📜📜📜📜📜📜📜📜🟫⬜️ ⬜️🟫🟫🟫🟫🟫🟫🟫🟫🟫⬜️ ️📜📜📜📜📜📜📜📜📜📜📜 ️📜📜📜📜📜📜📜📜📜📜🟫 ⬜️🟫🟫🟫🟫🟫🟫🟫🟫🟫⬜️

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⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢸⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣸⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠋⣠⣾⣿⡿⠀⢠⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢠⣿⡇⠀⠀⠀⣠⠀⠀⠀⠀⢸⣿⠀⠉⠉⠁⠀⠀⣼⠀⠀⠀⠀ ⠀⠀⢀⡀⠀⠀⣾⣿⠀⠀⢠⣿⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡇⠀⠀⠀ ⠀⢠⣿⡀⠀⠀⠹⣿⠀⠀⣾⣿⣿⣿⣿⣿⣶⣤⣄⠀⠀⠀⠀⠀⠀⢸⣿⠀⠀⠀ ⠀⠈⢻⣧⠀⠀⠀⠘⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⣿⡇⠀⠀ ⠀⠀⠀⢻⡄⠀⠀⢀⣀⣤⣤⣽⣛⣿⣿⣿⣿⣿⣿⣧⣤⣀⡀⠀⠀⠀⢸⡇⠀⠀ ⠀⠀⠀⠸⠁⠀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⠀⠀⢸⠃⠀⠀ ⠀⠀⠀⠀⠀⠀⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠈⠀⠀⠀ ⠀⠀⠀⣠⣴⣶⣶⣶⣿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣦⣄⠀⠀⠀ ⠀⢠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡄⠀ ⠀⢺⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀ ⠀⠈⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠟⠀⠀ ⠀⠀⠀⠀⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠁⠀⠀⠀⠀
⬜⬜🟫🟫🟫🟫🟫 ⬜⬜🟫👁️👃👁️🟫 ⬜⬜🟫🟨💋🟨🟫 ⬜⬜⬜🟨🟨🟨⬜ 🟨🟨🟨🟨🟨🟨⬜ ⬜⬜⬜🟨🟨🟨⬜ 🟨🟨🟨🟨🟨🟨⬜ ⬜⬜⬜🟨🟨🟨⬜ ⬜⬜⬜🟨🟨🟨⬜ ⬜⬜⬜🟨🟨🟨⬜ ⬜🟨🟨🟨🟨🟨⬜ ⬜🟨🟨⬜⬜🚽⬜ ⬜🟨🟨⬜⬜⬜⬜
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢺⡛⢶⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣠⡿⠀⠀⠙⣧⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣐⠎⠛⠉⠉⠉⠁⠀⠀⠀⠀⠸⡇⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢸⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣻⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⣠⡶⠶⠦⣄⣀⡀⠀⠀⠀⠀⠀⣀⣀⠤⠿⠶⣤⡀⠀⠀⠀⠀FUCK ALL YOU BITCHES DONT ⠀⠀⠀⢠⡖⠁⠀⠀⠀⠀⠈⠉⠉⠈⠉⠉⠈⠀⠀⠀⠀⠀⠈⢻⡄⠀⠀⠀ ⠀⠀⠀⢰⡁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⠀⠀⠀CALL ME A PIECE OF SHIT!! ⠀⢀⡔⠟⠓⠒⠦⢤⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⡠⠤⠆⠘⠚⢔⡄⠀ ⢠⡟⠁⠀⠀⠀⠀⠀⠀⠀⠈⠉⠈⠈⠈⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⢐⡀ ⣼⠂⠀⠀⠀⠀⠀⠀⢠⢀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⠀⠀⠀⠀⠀⠀⠀⣿ ⢹⡆⠀⠀⠀⠀⠬⠀⠀⠂⠀⠀⠀⠠⠀⢄⠀⠘⠉⠉⠐⠤⠀⠀⠀⠀⢀⡐ ⠀⠚⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠱⠔⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠖⠀ ⠀⠀⠈⠩⢦⣤⣠⣄⣤⣠⣠⡤⣤⣤⣤⣤⣤⣤⣠⣤⣤⣠⢤⠠⠞⠈⠀⠀

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⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣤⡤⠤⠤⠤⣤⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡤⠞⠋⠁⠀⠀⠀⠀⠀⠀⠀⠉⠛⢦⣤⠶⠦⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢀⣴⠞⢋⡽⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠃⠀⠀⠙⢶⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣰⠟⠁⠀⠘⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⡀⠀⠀⠉⠓⠦⣤⣤⣤⣤⣤⣤⣄⣀⠀⠀⠀ ⠀⠀⠀⠀⣠⠞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣷⡄⠀⠀⢻⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣆⠀ ⠀⠀⣠⠞⠁⠀⠀⣀⣠⣏⡀⠀⢠⣶⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⠿⡃⠀⠀⠀⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⡆ ⢀⡞⠁⠀⣠⠶⠛⠉⠉⠉⠙⢦⡸⣿⡿⠀⠀⠀⡄⢀⣀⣀⡶⠀⠀⠀⢀⡄⣀⠀⣢⠟⢦⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⠃ ⡞⠀⠀⠸⠁⠀⠀⠀⠀⠀⠀⠀⢳⢀⣠⠀⠀⠀⠉⠉⠀⠀⣀⠀⠀⠀⢀⣠⡴⠞⠁⠀⠀⠈⠓⠦⣄⣀⠀⠀⠀⠀⣀⣤⠞⠁⠀ ⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠀⠁⠀⢀⣀⣀⡴⠋⢻⡉⠙⠾⡟⢿⣅⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠙⠛⠉⠉⠀⠀⠀⠀ ⠘⣦⡀⠀⠀⠀⠀⠀⠀⣀⣤⠞⢉⣹⣯⣍⣿⠉⠟⠀⠀⣸⠳⣄⡀⠀⠀⠙⢧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠈⠙⠒⠒⠒⠒⠚⠋⠁⠀⡴⠋⢀⡀⢠⡇⠀⠀⠀⠀⠃⠀⠀⠀⠀⠀⢀⡾⠋⢻⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⢸⡀⠸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⢠⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣇⠀⠀⠉⠋⠻⣄⠀⠀⠀⠀⠀⣀⣠⣴⠞⠋⠳⠶⠞⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠳⠦⢤⠤⠶⠋⠙⠳⣆⣀⣈⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⣀⣀⢠⠋⠉⠉⠒⠲⢤⣀⣠⡀⠀ ⠀⠀⠀⠀⠀⠀⣀⣀⣀⢀⡠⠖⠋⠉⠀⠀⠀⠀⠉⠉⠢⣄⠀⠀⠀⢀⠼⠤⠇⠀ ⠀⠀⠀⣀⠔⠊⠁⠀⢨⠏⠀⠀⠀⣠⣶⣶⣦⠀⠀⠀⠀⠀⠱⣄⡴⠃⠀⠀⠀⠀ ⢸⣉⠿⣁⠀⠀⠀⢀⡇⠀⠀⠀⠀⢿⣽⣿⣼⡠⠤⢄⣀⠀⠀⢱⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠑⢦⡀⢸⠀⠀⠀⡠⠒⠒⠚⠛⠉⠀⢠⣀⡌⠳⡀⡌⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠉⠉⣆⠀⢰⠁⣀⣀⠀⠀⣀⠀⠈⡽⣧⢀⡷⠁⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⡤⢄⠀⠈⠢⣸⣄⢽⣞⡂⠀⠈⠁⣀⡜⠁⣩⡷⠿⠆⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢯⣁⡸⠀⠀⠀⡬⣽⣿⡀⠙⣆⡸⠛⠠⢧⠀⡿⠯⠆⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣀⡀⠀⠀⡤⠤⣵⠁⢸⣻⡤⠏⠀⠀⠀⠀⢹⠀⠀⠀⡊⠱⣀⠀⠀⠀ ⠀⠀⢀⠜⠀⢘⠀⠀⠱⠲⢜⣢⣤⣧⠀⠀⠀⠀⠀⢴⠇⠀⠀⠀⠧⠠⠜⠀⠀⠀ ⠀⠀⠘⠤⠤⠚⠀⠀⠀⠀⠀⠀⢸⠁⠁⠀⣀⠎⠀⠻⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠣⣀⣀⡴⠤⠄⠴⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀
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⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⠀⠀⠀⠀⠀⣠⣴⣶⣿⣷⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣿⡿⣿⢿⣶⣄⣴⣿⠟⠋⠁⠀⠈⢿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣠⣾⣿⢳⡽⣎⡟⣾⣻⣯⠀⠀⠀⠀⠀⠀⠈⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢠⣶⣿⡿⢿⣿⣶⣶⣦⣤⣠⣤⣶⣾⣿⠿⠿⠟⢻⡿⣧⢟⣳⣿⣾⣷⣿⣿⡿⣷⣶⣄⣤⣶⣿⢿⡿⣿⣦⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣾⡟⠀⠀⠀⠀⠀⠈⠉⠛⠛⠋⠁⠀⠀⠀⠀⠀⣿⡿⣵⣫⢿⣿⢧⣿⣟⡳⣟⣧⣛⣿⣿⣿⣼⢏⣾⢳⣿⡆⠀⠀⠀⠀⠀ ⠀⠀⠀⢸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣟⣶⢫⣟⣻⣿⣿⣯⢳⣛⡶⣛⣾⣿⣟⣿⡿⣎⣯⣿⠇⠀⠀⠀⠀⠀ ⠀⠀⠀⠘⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⣼⡿⣼⣣⣿⣿⣿⣟⣿⣣⣿⣿⣿⣿⣿⢿⣸⣻⡿⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢿⣧⣠⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠛⠛⠋⠉⠀⠀⠙⠛⠛⠉⢿⣾⣳⢭⣯⣷⣿⣧⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠈⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠛⠛⠉⠀⢻⣧⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢠⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣼⣿⡷⠶⠿⠛⠓ ⠀⠀⠀⠀⣼⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠙⠉⠉⣿⡇⠀⠀⠀⠀ ⠀⠀⠀⠀⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢺⣿⣿⡆⠀⠀⠀⠀⢠⣤⣿⣷⣤⣦⣤⡄ ⠀⠀⠀⠀⢿⣧⠀⢀⡀⠀⠀⠀⠀⢠⣴⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢿⡿⠁⠀⠀⠀⠀⠀⢁⣿⡇⠀⠀⠀⠀ ⢠⣴⣶⡾⢿⣿⡟⠛⠛⠀⠀⠀⠀⣿⣿⣿⠆⠀⠀⠀⠀⠀⠀⢠⣴⣶⣶⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣤⣼⣿⣀⡀⠀⠀⠀ ⠈⠁⠀⠀⠀⢻⣧⡀⢀⡀⠀⠀⠀⠈⠉⠉⠀⠀⠀⠀⠀⠀⠀⢻⣧⣮⣼⠿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⡿⠋⠙⠛⡿⠷⠀ ⠀⠀⠀⢀⣤⣶⢿⣿⡋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣶⢿⣿⣤⣀⡀⠀⠀⠀⠀ ⠀⠀⠀⠙⠋⠀⠀⠙⢿⣦⣴⡾⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣴⣾⡿⠁⠀⠈⠉⠙⢿⣦⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢀⣴⡿⠛⠿⣿⣶⣤⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣤⣤⣴⣾⡿⠿⠛⠉⢿⣧⠀⠀⠀⠀⠀⠈⣿⡇⠀⠀ ⠀⠀⠀⠀⠀⠰⠟⠋⠀⠀⠀⢀⣬⣽⣿⣿⣿⣿⣿⣿⣾⡾⢿⠿⠿⠿⠟⠛⠛⣿⡿⢯⢿⣿⣄⠀⠀⠈⢻⣷⡄⠀⠀⠀⣸⣿⠁⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣀⣤⣤⣾⣟⠋⠁⣠⣿⣿⡹⡽⣿⣇⠀⠀⠀⠀⠀⠀⠀⣸⣿⣻⢽⡺⣟⣿⣆⠀⠀⠀⠻⣿⣄⣠⣾⠟⠁⠀⠀⠀ ⠀⠀⠀⠀⠀⢠⣾⠟⠉⠉⠘⢿⣷⣰⣿⣿⣼⣷⣟⣾⣻⣷⣤⣤⣀⣤⣤⣾⣿⢏⣷⣯⣷⣭⣿⣿⣧⣠⣤⣶⡿⠟⠋⠁⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢈⣿⠇⠀⠀⠀⣠⣿⠿⠛⠉⠉⠉⠛⢿⣷⡽⣏⣿⣛⣯⢿⣹⣺⣿⠿⠛⠉⠉⠉⠙⠻⣿⣏⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢸⣿⠀⠀⠀⣾⡟⠁⠀⠀⠀⠀⠀⠀⠀⠙⣿⣯⣶⢻⣼⢳⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠈⢻⣷⡄⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢻⣷⣄⣸⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⣞⣳⡽⣺⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣧⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠈⠛⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣷⢻⣜⢿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⡄⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⢯⣻⢼⣻⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⠇⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⡿⣏⡾⣭⠷⣿⣧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⡿⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣧⡀⠀⠀⠀⠀⠀⠀⣠⣿⣿⣷⣿⣿⣿⣿⣾⣿⣿⣄⡀⠀⠀⠀⠀⠀⣠⣾⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣶⣤⣤⣤⣶⡿⠟⠋⠉⠁⠀⠀⠀⠀⠉⠉⠙⠻⠿⣷⣶⣤⣶⡾⠟⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣤⣤⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⠀⠀⠀⢀⣴⠟⠉⠀⠀⠀⠈⠻⣦⡀⠀⠀⠀⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣷⣀⢀⣾⠿⠻⢶⣄⠀⠀⣠⣶⡿⠶⣄⣠⣾⣿⠗⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⢻⣿⣿⡿⣿⠿⣿⡿⢼⣿⣿⡿⣿⣎⡟⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⡟⠉⠛⢛⣛⡉⠀⠀⠙⠛⠻⠛⠑⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣧⣤⣴⠿⠿⣷⣤⡤⠴⠖⠳⣄⣀⣹⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣀⣟⠻⢦⣀⡀⠀⠀⠀⠀⣀⡈⠻⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⡿⠉⡇⠀⠀⠛⠛⠛⠋⠉⠉⠀⠀⠀⠹⢧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⡟⠀⢦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠃⠀⠈⠑⠪⠷⠤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣾⣿⣿⣿⣦⣼⠛⢦⣤⣄⡀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠑⠢⡀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢀⣠⠴⠲⠖⠛⠻⣿⡿⠛⠉⠉⠻⠷⣦⣽⠿⠿⠒⠚⠋⠉⠁⡞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢦⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⣾⠛⠁⠀⠀⠀⠀⠀⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠤⠒⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢣⠀⠀⠀ ⠀⠀⠀⠀⣰⡿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣑⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⡇⠀⠀ ⠀⠀⠀⣰⣿⣁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣧⣄⠀⠀⠀⠀⠀⠀⢳⡀⠀ ⠀⠀⠀⣿⡾⢿⣀⢀⣀⣦⣾⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡰⣫⣿⡿⠟⠻⠶⠀⠀⠀⠀⠀⢳⠀ ⠀⠀⢀⣿⣧⡾⣿⣿⣿⣿⣿⡷⣶⣤⡀⠀⠀⠀⠀⠀⠀⠀⢀⡴⢿⣿⣧⠀⡀⠀⢀⣀⣀⢒⣤⣶⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇ ⠀⠀⡾⠁⠙⣿⡈⠉⠙⣿⣿⣷⣬⡛⢿⣶⣶⣴⣶⣶⣶⣤⣤⠤⠾⣿⣿⣿⡿⠿⣿⠿⢿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇ ⠀⣸⠃⠀⠀⢸⠃⠀⠀⢸⣿⣿⣿⣿⣿⣿⣷⣾⣿⣿⠟⡉⠀⠀⠀⠈⠙⠛⠻⢿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇ ⠀⣿⠀⠀⢀⡏⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⠿⠿⠛⠛⠉⠁⠀⠀⠀⠀⠀⠉⠠⠿⠟⠻⠟⠋⠉⢿⣿⣦⡀⢰⡀⠀⠀⠀⠀⠀⠀⠁ ⢀⣿⡆⢀⡾⠀⠀⠀⠀⣾⠏⢿⣿⣿⣿⣯⣙⢷⡄⠀⠀⠀⠀⠀⢸⡄⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣿⣻⢿⣷⣀⣷⣄⠀⠀⠀⠀⢸⠀ ⢸⠃⠠⣼⠃⠀⠀⣠⣾⡟⠀⠈⢿⣿⡿⠿⣿⣿⡿⠿⠿⠿⠷⣄⠈⠿⠛⠻⠶⢶⣄⣀⣀⡠⠈⢛⡿⠃⠈⢿⣿⣿⡿⠀⠀⠀⠀⠀⡀ ⠟⠀⠀⢻⣶⣶⣾⣿⡟⠁⠀⠀⢸⣿⢅⠀⠈⣿⡇⠀⠀⠀⠀⠀⣷⠂⠀⠀⠀⠀⠐⠋⠉⠉⠀⢸⠁⠀⠀⠀⢻⣿⠛⠀⠀⠀⠀⢀⠇ ⠀⠀⠀⠀⠹⣿⣿⠋⠀⠀⠀⠀⢸⣧⠀⠰⡀⢸⣷⣤⣤⡄⠀⠀⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡆⠀⠀⠀⠀⡾⠀⠀⠀⠀⠀⠀⢼⡇ ⠀⠀⠀⠀⠀⠙⢻⠄⠀⠀⠀⠀⣿⠉⠀⠀⠈⠓⢯⡉⠉⠉⢱⣶⠏⠙⠛⠚⠁⠀⠀⠀⠀⠀⣼⠇⠀⠀⠀⢀⡇⠀⠀⠀⠀⠀⠀⠀⡇ ⠀⠀⠀⠀⠀⠀⠻⠄⠀⠀⠀⢀⣿⠀⢠⡄⠀⠀⠀⣁⠁⡀⠀⢠⠀⠀⠀⠀⠀⠀⠀⠀⢀⣐⡟⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⢠⡇
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⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⠠⠤⠤⠤⠤⠄⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⡠⠐⢈⡡⠄⠀⠀⠀⠀⠀⠂⠠⢄⡁⠒⠄⡀⠀⠀⠀⠀⠀ ⠀⠀⠀⢀⠔⢉⡴⠊⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠑⠤⡈⠢⡀⠀⠀⠀ ⠀⠀⡠⢃⡴⠊⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠢⠈⢂⠀⠀ ⠀⡐⣀⣊⣀⣀⣀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣀⣀⣀⣑⣀⢣⠀ ⢰⠀⢿⡟⠉⠉⠀⠀⠈⠉⠉⠙⢶⣶⣶⡶⠚⠉⠉⠉⠉⠉⠉⠉⢹⡿⠀⡆ ⡄⠀⠸⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⠏⠹⣷⣶⣶⣶⣶⣶⣶⣶⣶⣿⠁⠀⢸ ⡇⠀⠀⠘⢿⣿⣿⣿⣿⣿⣿⣿⠏⠀⠀⠻⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⢸ ⢃⠀⠀⠀⠈⠙⠛⠛⠛⠛⠋⠁⠀⠀⠀⠀⠈⠙⠛⠛⠛⠛⠋⠁⠀⠀⠀⢸ ⠘⡀⠀⠀⠀⠀⠀⢠⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡄⠀⠀⠀⠀⠀⢀⠇ ⠀⠱⠀⠀⠀⠀⠀⠀⠙⠳⢒⡤⠤⠀⠀⠤⠤⣐⠾⠋⠀⠀⠀⠀⠀⠀⡞⠀ ⠀⠀⠑⡄⠀⠀⠀⠀⠀⠀⠀⠈⠉⠁⠈⠉⠁⠀⠀⠀⠀⠀⠀⠀⢀⠎⠀⠀ ⠀⠀⠀⠈⠢⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠔⠁⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠑⠠⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠤⠊⠁⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠀⠒⠒⠒⠒⠂⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⡇⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⠇⠈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣴⠟⠁⠀⢀⣿⡟⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⡟⠀⢸⣿⣿⣿⠟⣿⣿⣿⣿⡇⠀⣿⣶⣶⣾⣿⣿⠃⣿⣿⣿⣿ ⣿⣿⡿⢿⣿⣿⠁⠀⣿⣿⡟⠀⠀⠙⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⢸⣿⣿⣿ ⣿⡟⠀⢿⣿⣿⣆⠀⣿⣿⠁⠀⠀⠀⠀⠀⠉⠛⠻⣿⣿⣿⣿⣿⣿⡇⠀⣿⣿⣿ ⣿⣷⡄⠘⣿⣿⣿⣧⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⠀⢸⣿⣿ ⣿⣿⣿⡄⢻⣿⣿⡿⠿⠛⠛⠂⠤⠀⠀⠀⠀⠀⠀⠘⠛⠿⢿⣿⣿⣿⡇⢸⣿⣿ ⣿⣿⣿⣇⣾⣿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣿⣿⡇⣼⣿⣿ ⣿⣿⣿⣿⣿⣿⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⣷⣿⣿⣿ ⣿⣿⣿⠟⠋⠉⠉⠉⠀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠙⠻⣿⣿⣿ ⣿⡟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢻⣿ ⣿⡅⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿ ⣿⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣿⣿ ⣿⣿⣿⣿⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣾⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠤⠲⢉⡽⢈⣠⡞⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠎⢀⠄⢢⠫⡀⠸⣇⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⠃⡠⠃⠀⡇⠀⠱⠀⠀⠀⠉⠒⠤⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⠤⠋⢀⠇⠀⠀⠱⡀⠀⠑⢄⠀⠈⠐⠒⠤⡀⠑⢦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡠⣜⣻⣿⠿⠃⠠⠜⠃⠀⠀⠀⠀⠘⢄⡀⠀⠛⠤⠀⠀⠀⠘⡄⣸⣧⣘⡠⠤⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡠⢤⢲⠽⣿⣿⡿⠁⡄⠀⠀⠀⢀⠡⢄⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⢈⣿⣿⣿⣿⣿⣶⣬⣑⡠⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⢤⠲⣍⡾⢣⢋⡕⣊⠿⡇⠀⣧⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣿⣿⣿⣿⣿⣿⣷⣦⣑⢄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢠⢊⢧⣋⢛⣥⣲⣥⣮⣴⣵⣾⣧⠀⢣⠱⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣮⣂⠄⡀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢠⢧⣛⣴⣾⣿⡿⣿⣿⢿⣿⡿⣿⣿⣷⣄⣀⠈⠢⢄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣬⢦⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢸⠘⣿⣿⣯⣷⣿⢿⣾⡿⣟⣿⣟⣯⣿⣿⣿⣿⣶⣶⣶⣤⣤⣀⣀⡀⠀⠀⠀⠀⢀⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢾⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⡼⣆⢹⣿⣿⢷⣿⣻⣯⠿⣛⠫⠭⡍⡭⢭⣙⠻⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠋⡇⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣰⣍⣶⠛⣄⠙⠻⢿⡛⠍⣆⠳⢌⢣⠓⣬⠱⢦⡩⢝⡲⣌⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠋⢁⡔⢠⠇⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⡟⣷⢣⠘⡄⣓⢄⡀⠉⠳⢬⣚⣌⡲⣉⠦⣋⢖⡩⢎⡵⢊⠷⣡⢿⣿⣿⣯⣿⣿⣿⡿⣿⣿⡿⣿⢿⡿⣿⢿⡿⣿⢿⣿⡿⠿⠛⠁⠀⠀⡎⣀⠎⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢧⠸⣇⠎⡰⢌⢊⡙⠲⣄⡀⠀⠈⠉⠉⠛⠚⠒⠛⠚⠒⠛⠓⠓⠚⢿⡿⣿⣿⣿⣿⣿⣏⣷⣹⡮⠷⠽⠾⠗⠛⠋⠉⠀⠀⠀⠀⠀⢀⣠⣿⠟⡆⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢸⠀⠙⢆⡱⣈⠦⣉⠳⢄⢫⠱⠦⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡽⣖⡳⣞⢶⣳⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣠⣴⣶⢿⡿⠋⠀⡆⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠘⡆⠀⡀⠑⢦⡒⠥⡚⣌⠲⣉⠞⣰⠪⡝⢭⡓⢶⡒⣖⠲⣖⢲⢖⡺⣿⣷⣿⣾⣷⣿⣿⣤⣤⣤⣤⣤⢶⣶⢻⡟⡿⢯⡿⣽⣳⣯⠟⠁⡔⡀⡇⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠙⣤⡈⠀⠀⠉⠓⠵⣌⡓⡌⡎⢥⡓⡜⡣⢞⡡⢏⡜⡳⢬⣋⢮⣕⢫⣝⣻⣛⢿⡹⢧⡳⣞⢶⡹⣎⠿⣜⣻⣼⣛⣯⢷⣯⠗⠋⢠⠞⡴⡯⣅⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢀⠄⠊⢡⣿⣶⣄⠀⠀⠀⠈⠉⠓⠺⢥⣎⡵⣙⢬⠳⣩⢞⡱⢫⡜⡖⢮⣓⠾⣔⢯⣚⡽⣣⢟⡼⣣⡟⣭⠿⣭⣳⣞⡽⠞⠋⠁⠀⠀⣸⠾⡳⢦⡄⠱⢠⠀⠀⠀⠀ ⠀⢀⡔⠁⠀⠀⣿⣿⢯⣟⣷⣦⣄⣀⠀⠀⠀⠀⠀⠈⠉⠉⠓⠓⠚⠓⠓⠛⠞⢣⣿⢾⡿⣾⢷⡿⣿⢿⡿⣿⢿⡿⣿⡿⠉⠁⠀⠀⢀⣠⠖⣫⠡⢒⡉⠳⣽⡀⠀⠑⢀⠀⠀ ⢠⠏⢠⠎⠀⠸⡿⣿⣿⣞⣷⡻⡾⣽⣻⢶⣦⢤⣤⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠘⠻⠷⠿⠾⠷⢯⣽⢾⡽⠛⠋⠛⠋⢁⣀⡤⢴⡚⡍⢆⡓⠤⢃⠥⢨⣱⠏⠀⠈⢢⠈⢣⠀ ⠛⢨⡇⠀⠀⠀⢣⠉⢻⣾⢳⣿⣽⢳⣽⡞⣵⢻⡜⢳⣯⣽⠛⣿⠛⡟⢻⢳⡞⣶⣶⡖⣶⠒⣶⠒⣿⣿⢲⠒⣶⠛⣭⠋⣦⢱⢢⢱⠘⣦⠘⠑⠊⡜⣶⠃⡆⠀⠀⠀⠃⠐⡆ ⣻⠙⡄⠀⠀⠀⠈⠣⡄⠈⠙⠺⢷⣯⣗⣻⡭⣷⢻⡝⣮⢳⡻⣜⢯⡝⣧⢻⠼⣱⢎⡵⢣⣛⣴⣻⣼⣿⣿⣜⣦⣷⣼⣾⣾⣦⢉⡆⢳⡈⢖⣩⠶⠋⠀⢠⠃⠀⠀⠀⡘⠀⡇ ⠸⣤⠐⡄⠀⠀⠀⠀⠈⢦⣑⠠⠀⡀⠈⠉⠛⠺⠷⣯⣳⣏⡷⣹⢮⡝⣮⠽⣭⠳⢮⣙⠧⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣏⡶⡬⠗⠚⢉⠀⠀⣀⠔⠁⠀⠀⠀⡰⠁⣸⠁ ⠀⠈⢆⠈⠢⡀⠀⠀⠀⠀⠀⠉⠒⠦⢄⣀⠒⠠⠄⠀⠀⠈⠉⠉⠛⠚⠓⠻⠶⠯⠷⠭⠾⠥⠯⠯⠿⠿⣷⠟⠛⠛⠉⣉⣥⣴⣶⣾⣿⣿⣿⣿⠋⠀⠀⠀⠀⣀⠔⠀⡰⠁⠀ ⠀⠀⠀⠑⢤⠈⠒⠄⡀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠒⠒⠦⠤⠤⣀⣀⣀⣀⡀⠀⠀⢀⣤⣤⣤⣤⣤⣤⣴⢿⣶⣶⡾⣿⠿⣟⣻⢻⣽⣹⠾⠋⠁⠀⠀⢀⠤⠊⢀⡴⠋⠀⠀⠀ ⠀⠀⠀⠀⠀⠈⠒⢄⡈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠀⠘⢥⣈⣆⣑⣪⣑⣎⣭⣓⣬⠷⠼⠿⠚⠋⠉⠀⠀⠀⠀⠀⠀⠈⣀⠤⠚⠉⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠒⠠⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡠⠔⠚⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠑⠐⠢⠤⠤⣀⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣀⣤⠤⠦⠶⠒⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠁⠉⠈⠁⠉⠈⠁⠈⠁⠁⠈⠉⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
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⠀⠀⠀⠀⠀⠀⠀⡂⠿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢍⡬⡉⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠡⠀⠠⢨⡂⠰⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠁⠀⠇⢳⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⡍⡇⢕⠂⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠈⠌⢡⠂⠢⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢁⠀⠃⣊⣇⠁⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢂⢥⡃⡅⡇⠅⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠄⡃⠅⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠂⠐⠹⣏⣦⡀⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⢖⢿⠄⡳⠀⠘⠃⡄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⠀⠅⠇⠘⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠛⠶⣖⣅⣀⣀⡀⣀⡀⣂⣀⣄⣒⣡⠟⣼⠃⢊⠈⠙⢂⠀⠄⠌⠰⣔⢦⡄⡀⡄⢀⢐⡀⠄⠞⢇⠒⡉⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠉⠙⠛⠛⠓⠛⠓⠛⠑⠀⠀⠀⠀⠀⠀⠀⠁⠃⠀⠰⠀⠄⠁⠄⠂⡂⠑⠀⠢⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠄⠀⠀⠀⠀⠀⢀⣀⣀⣀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⡷⠛⠉⠉⠙⢶⡄⠐⠃⣿⡟⠃⠉⢀⣶⠿⠿⠷⠿⠟⣴⡄⠀⠀⡠⣠⡶⠂⠀⠛⠛⠛⢻⡟⠛⠛⠀⠀⡆⠀⠀⠀⣤⡄⠀⠰⣆⠀⠀⠀⠀⠀⠀⢀⣰⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⣟⠀⠀⠀⠀⠀⠈⣿⡀⢸⡇⠀⠀⣾⡏⠀⠀⠀⠀⠀⠀⠀⡻⡒⢉⣴⠿⠙⣤⠶⠦⡄⠀⠀⠀⣿⠀⠀⠀⠀⣾⣿⡄⠀⢸⠽⡇⠀⠀⠹⣦⠀⠀⣀⣶⢟⣧⡤⢤⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠤⠤⣄⡀⢠⡄⠀⠀⠀⠀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢶⡀⠀⠀⠀⠀⠀⠀⣴⡶⠦⠶⠦⠤⠀⠀⠀⣴⡾⠛⠓⠀⠀ ⠀⣿⠀⠀⠀⠀⠀⠀⠙⡇⠀⣿⠀⠀⣿⡇⠀⠀⠀⠀⠀⠀⠀⢨⣧⡿⠃⠀⠀⢸⡀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⡧⡇⠹⣇⠀⣯⡇⠀⠀⠀⠀⠙⣿⠏⠀⢰⠏⠔⠈⠀⠈⠹⢦⡀⠀⣯⠀⠀⠀⠀⠀⠀⠀⢳⣟⡇⠀⠀⠈⡇⠘⡿⠀⠀⠀⠀⡿⠀⠀⣰⠶⢗⣦⡀⠀⠀⣿⡀⠀⠀⠀⠀⠀⠨⢛⢀⠇⠀⠀⠀⠀⠀⠀⢿⡀⠀⠀⠀⠀ ⠀⣿⠀⠀⠀⠀⠀⠀⣿⡇⠀⣿⠀⠀⣿⡇⠀⠀⠀⠀⠀⠀⠀⠨⡿⣦⡀⠀⠀⠀⠉⠙⣧⠀⠀⠀⣟⣇⠀⠀⠀⣵⡇⠀⠻⣧⣿⡂⠀⠀⠀⠀⠀⣿⠀⠀⢸⡎⠀⠀⠀⠀⠀⠂⠪⣧⣸⣿⡄⠀⠀⠀⠀⠀⠀⣇⡇⠀⣤⡮⠋⠀⢽⣇⣀⣀⣀⣯⡀⣟⠇⠀⠀⠀⠳⣄⠀⣿⡆⠀⠀⠀⠀⠀⠐⣟⠔⠀⠀⠀⠀⠀⠀⠀⠀⠙⠝⢧⡀⠀ ⢠⣿⠀⠀⠀⠀⢀⣼⡷⠁⣽⡇⠀⢸⢿⡄⠀⠀⠀⠀⠀⠀⠀⣿⠀⠫⢷⣀⠀⢀⣤⡧⠃⠀⠀⣼⡿⠀⠀⠀⣿⠇⠀⠀⠩⣿⡅⠀⠀⠀⠀⠀⢸⡇⠀⠘⡷⡀⠀⠀⠀⠀⠀⠀⣮⠛⣽⣧⠀⠀⠀⠀⠀⡠⡏⣿⡏⠁⠀⠀⠀⢸⣿⠀⠀⠀⠀⣯⢸⡏⠀⠀⠀⠀⠀⣇⡇⣿⠀⠀⠀⠀⠀⠀⠀⣿⠋⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠸⡇⠀ ⠀⠉⠉⠛⠛⠋⠉⠉⠴⠖⠗⠐⠒⠛⣿⣧⡀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠃⠕⢦⡀⠀⠀⠀⣗⣿⡀⠀⣼⡏⠀⠀⠀⠀⠛⡇⠀⠀⠀⠀⠀⢸⡇⠀⠀⠛⠯⣶⣒⣒⣐⣮⠏⠀⠈⠻⣟⡤⣤⣤⡾⠋⠀⡯⠻⣆⠀⠀⠀⠀⡟⠀⠀⠀⠀⢼⡇⢹⡣⡀⠀⠀⠀⣜⠌⣿⠇⠀⠀⠀⠀⠀⠀⢻⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡟⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠑⠀⠘⠛⠛⠛⠛⠊⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⠀⠀⠙⠀⠀⠀⢻⡅⠀⠀⠀⠀⢿⠀⠘⠧⠵⠟⠋⠀⠀⠙⠛⠛⠛⠛⠙⠋⠉⠉⠉⠉⠉⠉⠀⠀⠠⠗⠚⠋⠁
(ෆ̥● ꄃ ●ෆ̥) '` (ू ͒•‧̫•ू⑅ ͒) (͒˶˙•●̫•˙˵)͒ ٩̋(ˊ ᵒ̵̶̷̤᷄ꇴᵒ̴̵̶̷̤᷅ ˋ)۶ ♡(ؔᵒ̶̷ᵕؔᵒ̷̶) ˘̴͈́ᵜ˘̴͈̀ ต( ິᵒ̴̶̷̤ ﻌ ᵒ̴̶̷̤ )ິ ૮꒰˶ᵒ̴̶̷᷄౪ᵒ̴̶̷᷅˵꒱ა ⁌꒰๑⃙⃘ˆˑˆ๑⃙⃘꒱⁍ ⋆͛*͛ ͙͛(๑•﹏•) ₍˄·͈༝·͈˄₎◞ ̑̑ෆ⃛ ꒰•·̫•꒱ྉ ˚‧(๑σ̴̶̷̥́ ₃σ̴̶̷̀ू)·˚ ꒰ •ॢ •ॢ⑅꒱ ꒰⁎ॣ●̷॔ ̴̧̇●̷꒱५₃ ( ᵒ̴̶̷̤ꈊᵒ̴̶̷̤ )✧ ·◌̊ˈ*(⁰̶̶̷ ˙̮ ⁰̴̷̷๑ॢ) Ϛ⃘๑ɞ̴̶̷ .̫ɞ̴̶̷ू꒜ ৎ •ु·̫•ूॽ♡ ꒰* ुര  ̫ രू꒱ ต( ິᵒ̴̶̷̤́ᆺ⃘ᵒ̴̶̷̤̀ )ິต દ⑅•ﻌ•૩ (  ु́•̶̤ ‧̫ ⁃ ૂ̀ )
stickin out ur poo for the rizzler 💩💩 ur so poopoo 💩 ur so poopy poo 💩💩💩🚽🚽 i just wanna be ur toilet 😫🧻🚽🚽🚽 freaking come here 💩💩 gimme ur poopy poo 😳😳😳🚽 - kato_therian on yt
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⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⠔⠁⣠⡾⠃⢐⡩⠐⡊⣵⡻⣏⢿⡹⢯⡝⣯⣛⢿⡽⣫⢻⢯⣿⡹⢯⢿⣿⣽⠀⠙⢦⡀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣠⠞⠀⣠⡾⡿⢁⣴⢟⡴⣋⣼⣳⡝⣮⢮⡝⣧⠏⣶⢹⣎⡿⣵⢫⢷⡹⣿⣭⣛⣦⣳⣷⣄⠀⢵⡄⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣠⣾⠇⢀⣼⢯⡽⣵⡻⣝⢮⡳⣝⣾⣳⠽⣎⢷⡹⣎⢷⣎⠷⣮⡝⣷⢫⡞⣵⢫⣷⣯⣶⣙⡞⣿⣦⠈⠹⡀⠀⠀⠀ ⠀⠀⠀⠀⠀⣴⠟⠁⢀⣾⣿⣹⢾⣝⡳⣝⣮⢷⣽⣷⣫⠿⡽⣎⢷⣏⣾⣿⡝⣶⡹⢾⣏⢾⡱⣏⢿⣞⡽⣻⢾⣵⣯⣷⡀⢳⠀⠀⠀ ⠀⠀⠀⠀⡐⠁⠀⢀⣾⡿⢶⣻⡾⣭⣟⡼⣮⠟⢹⣷⢫⡿⣽⢎⡿⣞⡾⢹⣟⢶⡹⣏⣟⢮⡳⣝⠾⣿⡜⣧⢻⢮⢷⣻⢷⣸⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢀⣾⣿⢻⡽⣯⢿⡵⣻⢞⡵⢀⣾⢞⡯⣽⡞⣭⢿⣽⠇⢹⣯⢻⡷⣭⣟⡮⢷⣭⢻⣽⣿⢾⡽⣾⢷⣻⢿⣏⠀⠀⠀ ⠀⠀⠀⠀⠀⡜⣼⡿⣭⢿⣹⢯⣷⡿⠕⠉⠀⠀⣿⢞⡽⢧⠿⣜⣯⡿⠃⢫⣯⢷⡟⣞⣿⢼⡳⣎⠷⣾⣏⢾⡹⣞⣳⢯⣿⣿⠀⠀⠀ ⠀⠀⠀⠀⣰⣿⡿⣽⣏⢾⣽⣿⢿⣿⣿⣶⣄⠀⠘⣯⡻⣭⣛⢷⠟⠀⠀⠀⢻⡾⣝⣾⣻⢮⢷⣭⢻⡼⣛⣮⣷⢿⣟⢿⣳⡿⢤⡀⠀ ⠀⠀⢀⠜⢹⣿⣽⣳⢯⣿⡿⠉⣲⣿⣿⡟⣿⡆⠀⠙⣿⣶⣭⢿⠀⢀⡤⠀⠀⣿⣣⣿⡽⣏⡾⣎⢷⣹⢯⡷⣏⡿⣞⢯⡷⡇⠘⣟⣧ ⠀⢠⠎⠀⣼⣟⡾⣽⣿⣿⡇⠀⣿⡿⣟⣿⡿⠀⠀⠀⠈⠉⠙⠛⠂⣾⣿⣿⣿⣾⣿⢧⡿⣽⢺⡽⣧⢻⣯⢷⡿⣹⣞⣻⡼⡇⠀⠘⣾ ⢠⠃⠀⣰⣟⣾⣽⣳⣟⡏⠻⠀⠙⠿⠿⠄⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⣿⣏⣿⢻⣿⣻⣽⣳⢏⣷⣻⣞⣯⣽⣳⣭⢷⣻⡇⠀⠀⠱ ⡎⠀⢰⣿⣹⡞⣷⢯⣾⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⡹⣻⣿⣿⠀⣿⣿⣾⡽⣟⡾⣵⣻⡼⡶⣏⡾⢧⣳⢿⠀⠀⠀ ⣇⢠⣿⡷⠉⠟⠛⠻⢾⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠳⠯⣘⠋⠀⠛⠋⠀⠐⠾⣿⣳⢯⡷⣿⡽⣹⣏⢷⣻⠇⡀⠀ ⠻⣿⡟⠀⠀⡔⠛⠒⠒⠺⠷⣤⠀⠀⠀⠐⠀⠀⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⡤⠈⠈⣻⡟⠉⣿⣳⣟⣳⡞⣿⡄⠙⠓⠄ ⠀⠈⠳⣀⡜⠀⠀⣠⣤⣤⡴⢺⡀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠀⠀⢀⣀⠀⠀⢀⡀⠀⠀⠚⠿⠒⣺⡏⠀⣼⢿⡽⣯⡷⣽⢯⡇⠀⠀⠀ ⠀⠀⠀⠈⢆⠀⣰⣿⢿⡽⡇⠀⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⡔⠻⠄⢄⣠⡈⠉⢹⣦⣤⣴⣾⠏⠀⡔⠁⣼⡿⣹⣿⡞⣿⡇⠀⠀⠀ ⠀⠀⠀⠀⢸⠀⠹⣌⠛⣿⠷⠀⣿⠟⡷⢄⣀⠀⢀⢀⣀⣠⡜⠀⣰⣾⣟⣿⣻⠀⠐⣿⡽⠛⠁⢀⠞⠀⣸⣟⡷⣏⣷⣻⢷⣻⠀⠀⠀ ⠀⠀⠀⠀⢸⠀⠀⠈⠳⡀⠀⣰⣷⣤⣧⣤⣬⠍⠉⠉⠀⢺⠀⠠⣿⣳⣟⠾⠃⠀⠴⠋⠀⡠⠔⠁⠀⣠⣿⢾⣹⡽⢾⡽⣯⢿⡇⠀⠀ ⠀⠀⠀⠀⠸⠀⠀⠀⠀⠙⣶⠃⠈⣿⠿⠍⠀⠀⠈⢀⣠⣼⠀⠀⠛⠋⠁⠀⢠⡀⠐⠒⠉⠀⢀⣤⣾⣿⣽⣞⡷⠿⠯⣿⡽⣯⣷⠀⠀ ⠀⠀⠀⠀⡸⠀⠀⠀⠀⢠⠃⠀⠀⡇⠑⣒⡲⠖⠛⠉⠀⢸⠀⠀⢀⣀⣀⣀⣔⠳⣔⣤⠤⠖⠛⠉⠉⠀⣀⣀⣤⣤⣴⣿⢻⣷⣻⡆⠀ ⠀⠀⠀⠀⠃⠀⠀⠀⣠⠃⠀⠀⡔⠛⠋⢣⠀⠀⠀⠀⠀⣸⢀⠖⠉⠀⠀⠀⠉⠉⠉⠙⠀⣀⣤⣶⢾⣟⡿⣽⡯⣷⣻⣼⣻⢞⡷⣿⡀ ⠀⠀⠀⠀⠀⠀⢀⣾⠏⠀⢀⡎⠀⢀⡀⠈⡆⠀⠀⠀⢀⢿⠁⠀⠀⠀⠀⠀⠀⣀⣤⣶⢿⣻⢿⢮⡷⣞⡽⣞⣿⣵⣻⢶⢯⣻⣽⣳⣧ ⠀⠀⠀⠀⠀⠀⡹⠋⠀⠔⢹⠉⠈⠉⠚⣊⣅⠀⢀⣰⠃⠘⡄⠀⠀⠀⢀⡔⢿⣿⢿⣞⣯⣽⢻⣿⣞⡽⣞⡽⣻⡶⣏⡿⣏⣷⣳⢯⣟ ⠀⠀⠀⠀⠀⠊⠀⠀⠀⠀⠈⠀⠀⠀⠠⠁⠘⣤⡺⠃⠀⣠⢳⡀⠀⠀⠀⢇⠈⠙⢆⠹⣷⢯⣟⢾⣻⡾⣭⣻⢽⣻⣳⡽⣛⣮⢷⣻⣞ ⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⠀⠀⢀⡜⠁⠀⠀⢫⠉⠳⢤⣄⠤⠘⣦⠀⠘⢷⣿⣻⣞⣯⢷⣻⢷⣯⣳⢯⣷⣹⣻⡼⣛⣦⡙
⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⡶⠞⠛⠛⠓⠒⠲⠶⠦⢤⣄⡀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣰⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠳⣄⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⡸⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢳⡄⠀ ⠀⠀⠀⠀⠀⠀⢰⢗⣯⣲⡀⠀⠀⢀⣴⣾⣯⣗⢦⡀⠀⠀⠀⠀⠀⠀⢻⡄ ⠀⠀⠀⠀⠀⠀⣾⢸⣿⣿⣹⠀⠀⣾⢸⣿⣿⣿⣷⠙⣆⠀⠀⠀⠀⠀⢸⡇ ⠀⠀⠀⠀⠀⠀⣿⢎⡻⣿⠞⠀⠀⠘⠾⣿⣿⣿⠟⣠⠞⠀⠢⡀⠀⠀⣸⠃ ⠀⠀⣀⣀⡀⠀⠹⡄⠉⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⢡⢆⢆⠀⠰⠀⣰⠏⠀ ⢀⣤⣧⣸⠛⠓⢦⣹⠞⢳⣭⣍⠙⠛⠓⠀⠁⢄⠀⠀⠊⢂⣠⡴⠟⠁⠀⠀ ⢸⣸⠋⠙⠣⣄⠀⠙⠦⣺⠀⠈⡷⠶⠦⠤⠤⠶⠖⠚⠋⠉⠁⠀⠀⠀⠀⠀ ⠸⣨⠓⢄⡀⠈⠃⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠫⣷⣤⣉⠀⠀⠀⠀⠀⠀⢰⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠘⠳⢤⣁⡀⣀⣀⣀⡴⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠈⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
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⣿⣿⣿⣿⣿⣿⣿⣿⡟⣽⣾⣷⣎⢿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⣿⣿⢸⢻⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⣿⣿⠀⢸⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⣿⣿⢰⢸⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⣿⣿⠀⣾⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⢏⣶⣶⣦⣥⣿⣿⣿⣿⠠⣸⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⠻⢸⣿⣿⣿⣿⣿⣿⣿⣿⣰⣛⣛⠿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⠫⢀⡆⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣜⣟⠛⢿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠏⢠⣾⡇⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⣾⣿⡇⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣴⣿⣿⡇⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⡸⣿⣿⣇⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⡁ ⣷⣹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢇⠀⠀⠀⠀⠀⠀⠀⠀⠄⠀ ⣿⣷⡝⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⣼⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣌⡻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣫⣾⣿⠀⠀⠀⠀⠀⠀⠀⠁⠀⡀ ⣿⣿⣿⣿⣷⣬⣛⠿⢿⣿⣿⣿⣿⠿⠿⢛⣭⣾⣿⣿⣿⠀⠀⠀⠀⠀⠀⡀⠀⠠⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣤⣤⣤⣤⣤⣶⣦⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⡿⠛⠉⠙⠛⠛⠛⠛⠻⢿⣶⣅⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢻⣿⣦⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣸⣿⡏⠀⠀⠀⠀⢀⣠⣤⣶⣾⠿⠿⠿⢿⣿⣿⣷⣄⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣿⣿⠁⠀⠀⠀⣸⣿⣯⠁⠀⠀⠀⠀⠀⠀⠀⠈⠙⢿⣷⠀⠀⠀ ⠀⠀⣀⣤⣴⣶⣶⣿⡟⠀⠀⠀⠀⣿⣿⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀ ⠀⢰⣿⡟⠋⠉⣹⣿⡇⠀⠀⠀⠀⢿⣿⣿⣿⣷⣦⣤⣤⣤⣶⣶⣶⣶⣿⣿⠀⠀⠀ ⠀⢸⣿⡇⠀⠀⣿⣿⡇⠀⠀⠀⠀⠘⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀ ⠀⢸⣿⡇⠀⠀⣿⣿⡇⠀⠀⠀⠀⠀⠀⠈⠻⠿⣿⣿⣿⡿⠿⠿⠛⢻⣿⡇⠀⠀⠀ ⠀⢸⣿⡅⠀⠀⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⡇⠀⠀⠀ ⠀⢸⣿⡇⠀⠀⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⡇⠀⠀⠀ ⠀⢸⣿⠁⠀⠀⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⡇⠀⠀⠀ ⠀⢸⣿⡆⠀⠀⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⡇⠀⠀⠀ ⠀⠸⣿⣧⡀⠀⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⠃⠀⠀⠀ ⠀⠀⠛⢿⣿⣿⣿⣿⣇⠀⠀⠀⠀⠀⣰⣿⣿⣷⣶⣶⣶⣶⠶⠀⢠⣿⣿⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣿⣿⠀⠀⠀⠀⠀⣿⣿⡇⠀⣽⣿⡏⠁⠀⠀⢸⣿⡇⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣿⣿⠀⠀⠀⠀⠀⣿⣿⡇⠀⢹⣿⡆⠀⠀⠀⣸⣿⠇⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢿⣿⣦⣄⣀⣠⣴⣿⣿⠁⠀⠈⠻⣿⣿⣿⣿⡿⠏⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠈⠛⠻⠿⠿⠿⠿⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀ ⢠⠔⠚⠒⢦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢠⠏⠀⠀⠀⣸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢸⡀⠀⠀⠀⡇⠀⠀⢀⠀⣠⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢧⠀⠀⠀⢳⣾⣿⣿⣿⣿⣿⣶⣄⠀⠀⠀⠀⠀⢀⡀⠀⠀ ⠀⠀⠀⠀⠑⡶⠀⠀⠙⠛⠻⠿⣿⣿⣿⣿⠷⠶⠒⠚⠉⠉⠉⠓⡄ ⠀⠀⠀⠀⡼⠁⠀⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇ ⠀⡴⠲⢤⠇⠀⠀⠀⠀⣆⡸⠂⠀⠀⠐⠀⠀⠀⢶⣤⣀⣀⡤⠞⠁ ⠀⢧⡀⠈⠀⠀⠀⠀⠀⠀⠀⠉⠁⠀⠀⠀⠀⠀⢈⡷⠒⢆⠀⠀⠀ ⠀⠀⢹⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠏⠀⠀⠀ ⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡏⠁⠀⠀⠀⠀ ⢰⠒⠻⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀ ⢹⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡼⠃⠀⠀⠀⠀⠀ ⠀⠙⠲⠞⠓⠢⢤⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣹⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠉⠉⠛⠳⠤⠖⠃⠀⠀⠀⠀⠀⠀(๑ > ᴗ < ๑)(˵ •̀ ᴗ - ˵ ) ✧
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡤⠊⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠎⠀⠐⠁⢁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠁⠀⠀⠀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠇⠀⠀⠀⠀⠀⠀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠴⠋⠩⠀⠀⠀⠀⠀⠀⠀⠀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢞⠀⠀⠎⠀⠀⠀⠀⠀⠀⠀⠀⠳⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠚⠂⠐⠀⠀⡀⡀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠠⠄⠤⠽⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡘⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠐⠀⠁⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠓⠐⡐⠊⠲⠄⠀⠀⠀⠀⠀⠀⠀⠈⠉⠀⠁⠁⠀⠁⠐⠲⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠇ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠋⠈⠈⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠒⠒⠒⠪⡄⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⡐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢣⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢣⠄⠄⠤⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠄⠒⠁⠀ ⠀⠀⠀⠀⠀⠀⡰⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠉⠁⠲⡄⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⡀⠀ ⠀⠀⠀⠀⠀⠀⠀⠦⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠢⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠤⠆⠁⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠁⠂⠒⠒⠚⠈⠈⠈⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠸⠀⠀⠀⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠃⠀⠀⢣⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠁⠂⠒⠐⠊⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

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⠀⠀⠀⣠⣶⣾⢿⡿⣿⣟⡿⣿⢿⡿⣿⣟⡷⣶⢶⣦⣤⣄⣀⡀⢀⣴⣶⡶⣶⢶⣦⡀ ⠀⠀⢸⣟⣷⢯⣿⣻⢷⣯⢿⣯⢿⣽⣷⣻⢿⡽⣟⣾⣽⣻⢿⡅⢸⣿⣳⡿⣯⣟⣿⠆ ⠀⠀⣸⣿⣼⢿⣧⢿⡿⣼⣿⣻⢿⣼⢧⣿⣟⣿⢿⣻⣼⣟⡿⡇⢸⡿⣧⣿⣻⢿⣼⠄ ⢠⣾⣿⣳⣯⣿⢾⡿⣽⣟⣾⡽⣟⣯⣿⢾⣽⡾⣟⡿⣾⣽⣻⡅⢸⣿⣽⢾⣻⣯⣿⠂ ⠈⢿⣞⣷⣟⡾⣿⡽⣟⣾⢯⣟⣿⣳⣯⡿⣞⣿⡽⣟⣷⣯⢿⡅⢸⣿⣞⣿⣽⣞⣿⠄ ⣠⣿⣟⣾⣽⣻⢷⣟⡿⣽⣻⣟⣾⣽⣳⣿⣻⢷⣟⣿⣳⣯⢿⡃⢸⣷⢿⣞⣷⣯⣿⠄ ⢻⣟⣾⣽⢾⣻⣟⣾⣟⣿⣳⣯⣟⣾⣟⣾⡽⣿⣞⣯⣷⣟⣿⡃⢸⣿⣻⢾⣻⡾⣽⠆ ⢠⣿⣻⢾⡿⣽⣾⣻⢾⣳⣟⣷⣯⡷⣿⣞⣿⣳⣯⣟⣾⣽⠾⠇⠸⣿⣽⣻⢷⣿⣻⠇ ⣿⣿⣹⢿⣹⡿⣾⣹⡿⣏⣿⡾⣷⣿⢷⣏⣷⡿⣷⣏⡿⠁⠀⠀⠀⠀⠀⠁⠈⠀⠀⠀ ⠙⣷⢿⣻⣽⢿⡽⣷⣟⡿⣞⣿⣳⣯⡿⣯⢿⣽⡷⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠉⠉⠉⠋⠙⠃⠋⠙⠙⣷⣟⡷⣟⣿⣻⣾⡝⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⢯⣟⣿⣳⢿⡾⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣟⣯⡿⣞⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣟⣾⣽⣻⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣾⣽⣾⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠸⣟⣾⡽⣷⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⢯⣿⣽⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢈⣉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣴⣶⣶⣶⣶⣄⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⢿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀ ⣤⣤⣤⣄⡀⡀⠀⠀⠀⠀⠀⠀⠀⠉⣹⣿⣿⠃⠀⠀⠀⠀ ⠈⠙⠛⠛⠿⠿⠿⠷⠶⠶⠶⠾⠿⠷⣿⣿⣿⡇⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣐⣿⣿⣿⣦⣤⣄⠀ ⠀⠀⠀⠀⠀⠀⠈⠻⠿⠿⠿⠿⠿⠟⢻⣿⣿⣿⣿⣿⣿⡇ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⡿⠋⠉⣿⣿⡷ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⠋⠁⣀⣼⣿⠟ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣯⠀⣼⣿⡿⠋ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣯⠀⣿⣿⡇ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣶⣶⣿⣿⠿⠀⠘⣿⡇⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠈⠁⢀⡀⢀⣤⣿⡇⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠿⠿⠿⠿⠿⠁⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⢀⣤⣤⣤⣤⣤⣤⠀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣴⡶⣿⣻⢟⡿⣹⡟⣞⣧⠿⣼⢳⢯⣟⢯⣟⣷⣻⢷⣶⣤⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣴⡾⣿⣻⡽⣳⡻⣵⢫⡾⣹⢧⡻⣝⢮⡻⣵⢫⢷⣚⢯⡞⣶⢫⣟⣼⡳⣯⣟⣾⣴⣠⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣴⣿⣻⢷⡻⣵⡳⣝⢧⡻⣜⢧⠻⡥⢯⣱⢋⡮⠵⣎⠻⣌⢯⡚⡽⣜⡳⡞⣶⢻⡵⣞⢧⡿⡽⣯⢷⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⢿⡽⣶⣛⢾⡹⢶⡹⣎⠷⡹⡜⢮⡹⣜⢣⢎⡳⢜⡳⣌⠻⡜⢦⡙⢶⡡⢗⡹⣜⣣⠟⣼⢫⣞⡽⣽⣛⡾⣽⣦⡄⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣠⣾⢿⣭⡟⣾⡱⣏⢾⡹⢣⣛⢬⢳⡱⣙⠦⣓⠬⣃⠞⡘⢦⠱⣌⠳⣌⢣⡙⢦⡙⢮⠱⣎⢖⡻⣜⠳⣎⢷⣣⢿⣹⠷⣯⢿⣦⡀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⣴⡿⣯⣻⢖⣻⢵⠻⣜⡣⣝⢣⠞⡬⢣⠜⣢⠓⣌⠲⡡⢎⠱⢊⡱⢄⠓⡌⠆⡍⠦⣙⠢⡝⡰⢎⠵⣪⠝⣜⡣⢟⣮⢳⣻⣭⠿⣽⣻⣆⠀⠀⠀⠀⠀ ⠀⠀⠀⢀⣾⢯⡿⣵⣫⢟⡼⣫⢝⡲⡹⣌⠧⡙⠴⣉⠞⣠⠙⡄⠓⡄⢃⠎⡡⠒⡌⡘⠤⡉⠴⡑⠤⠓⢬⡑⢎⡱⢊⡝⢦⡙⢧⢞⣣⢷⣚⢿⣳⢯⣟⡦⠀⠀⠀⠀ ⠀⠀⢀⣾⢯⣟⣳⢧⣛⢮⣳⠱⣎⠵⡓⢬⠒⣍⠲⡁⠎⡄⠣⢌⠱⢈⠆⡘⠄⡱⢀⡑⢂⠑⢢⠘⢄⠋⡔⠨⢆⡱⢩⠜⡆⣏⠳⣎⠵⣫⢞⡽⣚⣟⣾⣻⣧⠀⠀⠀ ⠀⠀⣼⣯⣟⡾⣹⢮⡝⡞⡴⢫⡜⢪⡑⢎⡱⢂⡱⢈⠱⡈⢅⠢⢘⠠⢂⠡⠘⣀⠂⠔⡈⠌⡐⠌⢂⠱⢈⡑⠢⢌⢃⠞⡸⡐⢯⡘⢧⡝⢮⣳⣛⣮⠷⣯⢿⡆⠀⠀ ⠀⢰⡿⣞⣧⢟⣧⢻⣜⡹⣜⢣⡜⢣⠜⢢⠑⢢⠐⡡⢂⠅⠢⠌⠂⠔⢂⠁⠒⠠⢈⠐⠠⠘⠠⠘⢠⠘⠠⠌⡱⢈⠬⣘⢡⡙⢦⡙⢦⡹⢣⢷⡹⣎⡿⡽⣯⣿⡀⠀ ⠀⣿⢿⣝⣮⢟⡼⣣⢮⡱⢎⠖⣌⠣⢎⡡⠎⡡⠊⠔⢂⠌⢂⡘⢈⡐⠂⠌⡁⢂⠡⠈⢄⠡⢂⠁⠂⠌⡁⢆⠡⢊⠔⠢⣅⠚⣤⠙⣦⠹⣍⢶⡹⣞⣵⡻⢷⣻⡇⠀ ⢠⣿⣻⢞⣮⢻⣜⠳⣎⠵⣋⠼⣠⢋⠴⣀⠣⡐⡉⠔⡈⠐⢂⠐⠤⠀⡅⠒⡀⠂⠄⠃⠄⠂⠄⡈⢁⠂⢌⠠⠊⠔⡨⠑⡤⢋⠴⣉⠶⡹⡜⣎⡳⣝⢶⡻⣯⢷⣿⠀ ⢸⣿⣽⣫⣞⡳⣎⠟⣬⠳⣌⠳⣄⠋⡔⠄⣷⣶⣥⣖⡈⢁⠂⠌⠠⠁⠄⠡⢀⠡⢈⠐⡈⠐⡈⠐⠠⠈⡄⢂⣩⣴⣵⣷⣴⢉⠦⡑⢮⢱⡙⢦⢻⣜⣳⣻⣭⢿⣻⠀ ⢸⣿⣞⡵⣾⡱⢯⣙⢦⡛⡤⢓⠬⡘⠤⡉⠿⣿⣿⣿⣿⣷⣮⣄⠡⠈⠄⡁⢂⠰⢀⠂⠄⠡⢀⠡⢁⣢⣴⣿⣿⣿⣿⣿⠟⡌⡒⣍⠲⢣⡝⣎⠷⣎⢷⣣⣟⣿⣳⠀ ⢸⣷⢯⡽⣖⢯⡳⢭⠲⣍⠶⣉⠖⣉⠆⡱⢈⠔⡉⢻⣿⣿⣿⣿⣿⣦⡌⠐⡀⠂⠄⡈⠄⡁⣢⣶⣿⣿⣿⣿⣿⠛⡩⠐⣌⠒⡱⢌⡓⢧⡚⣬⢳⡝⣮⠷⣽⢾⣿⠅ ⢸⣿⢯⡷⣛⣮⡝⢧⡛⣬⠲⣅⠚⡤⠚⡄⢃⠒⣨⣿⣿⣿⣿⣿⣿⣿⣿⡇⠠⢁⠂⡐⠀⢾⣿⣿⣿⣿⣿⣿⣿⣷⡐⡩⠤⡙⡔⢣⠎⢧⡙⣖⣫⢞⣵⣻⣽⣻⣿⠀ ⠈⣿⣯⢷⣛⡶⣹⠧⡝⢦⡛⢤⢋⡔⢣⠘⡄⠣⢼⣿⣿⣿⣿⣿⣿⣿⠫⢁⠂⠄⠒⠠⠉⠌⢻⣿⣿⣿⣿⣿⣿⣿⡧⢑⢢⠱⣌⠓⣎⢧⣙⠶⣹⢞⡮⢷⣞⣿⣿⠀ ⠀⢻⣯⢿⣹⡞⣵⢫⡝⢶⡙⡎⡖⣌⠣⢎⠰⡁⠾⣿⣿⣿⣿⣿⣿⡟⡐⠠⠌⢠⠁⢂⠡⠈⠌⢿⣿⣿⣿⣿⣿⣿⠣⡑⣊⠵⡨⡝⣬⠲⡭⣞⡵⣫⣽⣻⣾⢿⠇⠀ ⠀⠘⣿⢯⣷⢻⣭⡳⣝⢮⡱⡹⣔⢪⡑⢎⡱⢌⠒⡌⠻⠿⠿⠟⡋⡐⠤⢁⠌⡠⠘⣀⠂⡉⠤⢉⡙⠿⠿⠿⢛⠡⣒⠱⣌⢲⣑⠳⣌⡗⣳⡝⣾⣱⠷⣯⣿⡟⠀⠀ ⠀⠀⠹⣿⣞⣟⡶⣻⡜⣧⢳⡕⢮⡑⣎⠦⡑⢎⡸⠐⡥⢊⠔⡡⢂⠅⡒⣈⣔⣠⣱⣠⣘⣠⠑⡂⢌⠢⡑⡌⢆⠳⣨⠱⣌⠶⣉⠷⣘⢾⣱⣛⡶⢯⣿⣟⡿⠁⠀⠀ ⠀⠀⠀⠹⣾⡽⣞⡷⡽⣎⢷⡺⢥⡛⣤⢳⣉⠦⡱⣉⠦⡑⣊⣴⣵⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣮⣔⢡⠚⣌⠳⢤⠳⡜⢮⡱⣫⡝⣮⢳⡽⣞⣿⣻⡾⠁⠀⠀⠀ ⠀⠀⠀⠀⠙⣿⡽⣾⢽⡞⣧⣛⢧⡝⣦⠳⣌⢳⡱⢌⡲⣵⣿⣿⣿⣿⣿⡿⢿⠿⢿⠿⢿⣿⣿⣿⣿⣿⣷⣏⡴⡙⣎⢳⡙⡶⣹⢥⣻⢼⣏⣷⣿⣻⡿⠁⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠈⢿⣽⣳⡟⣧⡟⣮⡝⣶⢫⣜⢣⠞⣥⣿⣿⣿⡿⠻⣍⠲⣉⠦⡙⢦⡙⢆⠲⣡⠏⡿⢿⣿⣿⣷⡹⣌⢧⣻⡱⣏⡾⣵⣻⣾⣻⣾⠏⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠙⢷⣿⣳⢿⣱⠿⣜⣳⢎⡯⢞⣻⣿⡟⢧⣙⠳⣌⢳⡱⢎⡵⢢⡝⢪⠳⣥⢚⡵⣋⢽⣻⣿⠿⣜⢧⣳⠽⣞⣳⣯⣿⣾⡟⠁⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠻⣯⣟⣿⣹⢮⣟⡼⣏⢶⣣⢏⡗⣮⠽⣌⢧⠳⣍⢞⡱⣎⡳⡝⢦⣏⢶⡹⣖⡳⣎⣟⢮⡟⣞⣿⣟⣿⡽⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠿⣿⣯⣾⡽⣞⣧⢟⣮⠽⣎⠿⣜⢯⡝⣮⢏⡷⣎⢷⣹⢳⣎⢷⣹⢮⣗⣿⣼⣿⣻⣿⣽⠾⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠿⢿⣾⣿⣾⢿⣽⣫⣟⣮⢿⣜⣯⣞⣽⣞⣧⣟⣾⣯⣷⡿⣯⣿⣾⠿⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠘⠛⠻⠿⠿⠽⠻⠾⣷⣿⠾⠏⠿⠿⠾⠝⠛⠙⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡤⠖⠒⠢⢄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⡴⠃⠀⠀⠀⠀⠀⠙⢦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣰⠁⠀⠀⠀⠀⠀⠀⠀⠈⠳⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⡰⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣠⠞⠁⠀⠀⠀⠀⠀⠀⠀⠂⠀⠤⠤⡀⠈⠳⣄⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⣠⠞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠑⢄⠀⠀⠀⠀⠀⠀ ⢠⠞⠁⠀⣀⣠⣤⠤⠤⠤⠤⢤⣤⠤⠤⠤⠤⣤⣀⣀⡀⠀⠀⠀⠑⢤⠀⠀⠀⠀ ⣣⠔⠚⠻⣄⣡⣞⣄⣠⣆⠀⢼⣼⣄⣀⣀⣠⣆⠜⡘⡻⠟⠙⣲⠦⣈⢳⡀⠀⠀ ⡇⠒⢲⡤⡜⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠙⠛⠤⣖⠬⠓⠂⠉⣿⠇⠀⠀ ⠙⠲⠦⠬⣧⡀⠀⠀⠀⠀⠀⣠⣿⣿⣷⡄⠀⠀⠀⠀⠀⣞⠀⢀⣲⠖⠋⠀⠀⠀ ⠀⠀⠀⠀⠘⣟⢢⠃⠀⠀⠀⠉⠙⠻⠛⠁⠀⠀⠀⢀⡜⠒⢋⡝⠁⢀⣀⣤⠂⠀ ⠀⠀⠀⠀⠀⡇⠷⠆⠶⠖⠀⠀⠀⠀⠀⠀⠀⠀⣠⠮⠤⠟⠉⠀⢰⠱⡾⣧⠀⠀ ⠀⠀⠀⠀⠀⠹⢄⣀⣀⠀⠀⠀⠀⠀⠀⣀⡤⠚⠁⠀⢠⣤⡀⣼⢾⠀⠀⡟⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠙⠛⠛⠒⡏⠀⡡⠣⢖⣯⠶⢄⣀⣿⡾⠋⢸⢀⡶⠿⠲⡀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡰⣹⠃⣀⣤⠞⠋⠀⠉⠢⣿⣿⡄⠀⣿⠏⠀⠀⠐⢣ ⠀⠀⠀⠀⠀⠀⠀⠀⣠⠞⢱⢡⡾⠋⠀⠀⢀⡐⣦⣀⠈⠻⣇⢸⢁⣤⡙⡆⠈⡏ ⠀⠀⠀⠀⠀⠀⣠⠎⢁⠔⡳⡟⠀⠐⠒⠒⠋⠀⠠⡯⠙⢧⡈⠻⣮⠯⣥⠧⠞⠁ ⠀⠀⠀⣀⠴⠋⠀⢶⠋⢸⡝⠀⠀⠀⠀⠀⠀⠀⠀⣸⢦⠀⠙⡆⠘⠦⢄⡀⠀⠀ ⠀⠀⣸⠅⢀⡤⢺⢸⠀⢸⡃⠤⠀⠀⠀⠀⣀⡤⢚⣋⣿⢄⡀⢇⡀⠀⠀⣝⡶⠀ ⠀⠀⢿⠀⡏⠀⠘⠞⠀⢸⡵⣦⠤⠤⠖⣿⠥⠞⠉⠀⢸⠖⠁⠀⠙⠢⣑⠶⣽⢂ ⠀⠀⠸⠤⠃⠀⠀⠀⠀⠀⠉⢳⠂⠈⡽⠁⠀⠀⠀⢀⡼⠒⠓⢤⠀⠀⠀⠙⠚⠛ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠓⡎⠀⠀⠀⠀⢠⠎⣠⠀⠀⠈⢳⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⢸⡶⠗⠋⣱⠄⠀⠀⠀⣧⠀⠀⠀⢀ ⠀⠀⠀⠀⠀⠀⠀⣀⠴⠒⠒⠦⣤⣷⠂⢀⡸⠁⠀⡼⠁⠀⠀⠀⠈⢺⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢠⠋⢀⣀⡀⠀⠀⠀⠀⠀⠈⡇⠀⠀⠙⠢⠤⠤⣄⡤⠼⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠑⢦⣄⣉⣑⠢⠄⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠙⠓⠒⠒⠃⠀⠀⠀⠀🇹
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡶⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⠃⢸⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡴⠟⠁⠀⠈⠳⠦⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⡟⠀⠀⠀⠐⠼⢟⣲⡐⠈⣻⣤⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣇⠐⠀⢀⠀⠀⠀⠀⡉⠉⠉⢠⡘⠙⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣿⣦⡀⠈⠐⠀⠄⠀⠀⠀⠀⠀⣀⣀⢈⠘⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣠⡾⠋⠁⣠⠌⠉⠓⠒⠀⠀⠀⠀⠐⠊⠊⠇⠿⠀⣀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣼⠯⣷⡀⡜⢡⠆⠰⠂⠀⠀⠀⠀⠒⠦⠄⠌⠙⠲⢻⠉⡿⢶⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣿⣾⠟⢠⠇⢩⠃⠀⠀⠀⠀⠀⠀⠤⠃⠀⠀⠀⠀⠀⠹⣄⠀⡈⠙⣷⡄⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢀⣴⠟⡋⠁⠀⠀⠀⠀⠀⠀⣰⠓⡀⠠⠀⠀⠀⠀⠀⠀⠀⠀⢀⡈⡆⠳⣌⢸⣷⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⣰⡟⠱⠡⠃⠐⠂⡄⠀⠀⠠⠄⣀⣀⠀⠀⠀⠀⠀⠀⠀⠆⢹⣴⣀⣳⣷⣶⠾⠟⠛⢷⣄⠀⠀⠀⠀⠀ ⠀⢰⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠉⠉⣉⡙⡛⠛⠛⠛⠛⠋⠉⠉⠀⠀⠀⢣⡑⠈⢻⡆⠀⠀⠀⠀ ⠀⢸⡇⢹⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠓⠁⠀⠀⡀⢰⢠⠀⡆⠀⠆⠀⡄⢄⢶⠼⣿⠀⠀⠀⠀ ⠀⠹⣷⡀⠘⡟⡆⡄⡀⠀⠀⠀⢀⠀⠀⠰⠀⠀⠀⠀⠐⣶⠄⡇⠾⠘⠀⢉⡄⢠⢧⢧⢸⠀⣰⡟⢀⠀⠀⠀ ⠀⢀⣼⣷⡄⠀⣡⠁⢀⠈⡀⠀⠈⠐⠰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⠀⠃⠘⠢⠘⠊⢈⣡⠴⠋⡀⠋⡰⠃⡄ ⢸⠕⢋⡽⠻⣶⣅⣇⠈⠰⠁⡇⠄⢰⠀⠀⠀⠀⠠⢠⣴⠠⠀⠃⠀⠀⢀⣀⣤⠔⡨⢔⡾⢣⠞⢠⠞⢀⡜⠁ ⠀⠈⠁⠀⠚⠉⠉⠛⠛⠛⠓⠒⠒⠶⠦⠤⠤⠤⠤⠶⠶⠒⠒⠊⠭⠉⠍⠂⠈⠋⠀⠋⠐⠁⠘⠁⠀⠊⠀⠈
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⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⢔⣒⠂⣀⣀⣤⣄⣀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣴⣿⠋⢠⣟⡼⣷⠼⣆⣼⢇⣿⣄⠱⣄ ⠀⠀⠀⠀⠀⠀⠀⠹⣿⡀⣆⠙⠢⠐⠉⠉⣴⣾⣽⢟⡰⠃ ⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣿⣦⠀⠤⢴⣿⠿⢋⣴⡏⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡙⠻⣿⣶⣦⣭⣉⠁⣿⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣷⠀⠈⠉⠉⠉⠉⠇⡟⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⣘⣦⣀⠀⠀⣀⡴⠊⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠈⠙⠛⠛⢻⣿⣿⣿⣿⠻⣧⡀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠫⣿⠉⠻⣇⠘⠓⠂⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢶⣾⣿⣿⣿⣿⣿⣶⣄⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠹⣿⣿⣿⣿⣿⣿⣿⣧⠀⢸⣿⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠈⠙⠻⢿⣿⣿⠿⠛⣄⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡁⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣷⠂⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠇⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠋⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⣀⣀⡤⠤⠤⠤⣄⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢴⠋⠙⠳⣤⡀⣠⠖⠋⠁⠀⠀⠀⠀⠀⠀⠀⠉⠓⠤⡀⣠⡴⠟⠛⣷⠀⠀ ⠀⠀⠈⠳⢤⣀⢈⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢏⣀⣠⡴⠋⠀⠀ ⢀⣠⣤⣄⣄⣉⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣇⣡⣤⡴⣦⣀ ⢹⣅⡀⠀⠀⠈⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡏⠁⠀⢀⣠⠏ ⠀⠈⠙⠉⢋⣉⣇⠀⠀⣾⣷⠄⠀⡀⠀⠀⠀⡀⠀⢴⣿⡆⠀⢀⣿⡙⠋⠋⠀⠀ ⠀⠀⢤⠶⠋⠉⢈⣦⡀⠈⠉⠀⠀⠈⠉⠉⠉⠀⠀⠀⠉⠀⣠⣎⠈⠉⠛⢷⡀⠀ ⠀⠀⠻⣤⣤⠶⠋⠀⠈⠑⠠⠄⣀⣀⣀⣀⣀⣀⡀⠤⠐⠉⠀⠈⠻⠶⠖⠶⠃⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠃⠤⡀⠀⡠⠤⢱⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡎⠀⠉⠁⠀⠉⠉⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⢀⠤⡀⠀⡠⢄⢀⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠢⣀⣀⣀⣈⡠⠊⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡌⡇⠀⣎⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢡⡇⣸⠜⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠓⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
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⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣶⣤⣶⣤⣶⣶⣶⣶⣶⣶⣶⣿⣷⣷⣤⣦⣄⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣐⣶⣿⣿⣿⣿⣿⡿⠿⣿⠟⠛⠋⠉⠉⠉⠉⠉⣭⣯⣍⠛⠻⢿⣯⡓⣦⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣴⣿⣿⣿⠿⠟⣻⡿⠛⠀⠀⠀⠀⠀⣠⣶⣶⣄⠀⠀⠀⠀⢹⡇⠀⠀⠙⠻⣿⣿⣯⡓⢤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⣿⠟⠛⠉⠀⠀⢰⡏⠀⠀⠀⠀⠀⠀⠈⠛⠀⠀⣿⠀⠀⠀⠀⣸⠇⠀⠀⠀⠀⠀⠹⣿⣿⣿⣟⢦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⡿⠋⠀⠀⠀⠀⠀⠀⠸⣧⠀⠀⠀⠀⠀⠀⠀⠀⣠⣼⣋⣀⣠⡴⠞⠃⠀⠀⠀⠀⠀⠀⠀⠨⣍⠛⢿⣧⣵⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣠⣾⣿⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠻⢦⣤⣄⣀⣠⣤⠶⠛⠉⠛⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠳⣄⠙⣿⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⣾⣿⢟⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣀⣀⣀⡀⠀⠀⠀⠈⠑⢾⣿⢿⣷⣄⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢀⣼⣿⡟⡡⠃⠀⠀⠀⠀⠀⠀⢀⣀⡀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⣿⣿⣿⣿⣿⣿⣿⣷⣦⣤⡀⠀⠀⠙⣧⠹⣿⣦⠀⠀⠀⠀⠀⠀ ⠀⠀⢀⣞⣿⠏⡐⠁⠀⠀⠀⠀⠀⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣶⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣿⣿⠉⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⡀⠀⠈⣇⠈⣿⣧⠀⠀⠀⠀⠀ ⠀⢀⣾⣞⠇⡜⠀⠀⠀⠀⠀⣠⣾⣿⣿⣿⣿⣿⣿⣿⡟⠁⠈⣿⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⡇⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⠀⢸⡆⢹⣿⣧⠀⠀⠀⠀ ⠀⣼⣿⡟⡜⠀⠀⠀⠀⢀⣼⣿⣿⣿⣿⣿⣿⣿⠿⠿⠃⠀⠀⣿⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⠁⠀⠀⠀⠀⠉⠉⣿⣿⣿⣿⣿⣿⣿⢿⣷⡀⢿⡄⢻⣯⢇⠀⠀⠀ ⢠⣿⣿⠻⠀⠀⠀⠀⠰⠊⣹⣿⣿⣿⣿⣿⣿⣧⣀⡀⠀⠐⠀⠈⠙⢿⣿⣇⠀⠀⠀⠀⠀⠀⢻⣿⣿⣷⣄⠀⠁⠀⣴⣾⣿⣿⣿⣿⣿⣿⠁⠀⡇⠈⠌⢻⡈⣿⣟⡆⠀⠀ ⢸⣿⡟⠇⠀⠀⠀⢀⠃⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⡄⠀⠀⣴⣿⣿⡇⠀⠀⠀⠀⠀⠀⠈⢿⣿⣿⣿⡇⠀⢰⣿⣿⣿⣿⣿⣿⣿⡇⡀⢠⡇⠀⢰⠈⢷⣻⣿⣧⠀⠀ ⣾⣿⢻⠀⠀⠀⠀⡜⠀⣾⣿⣿⣿⡟⠉⠙⠻⣿⣿⣿⣿⡇⠀⢸⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠈⢻⣿⣿⣇⣀⣼⣿⣿⣿⣿⣿⣿⡿⠁⢡⣿⡟⠀⢸⡆⠈⣿⣹⣿⠀⠀ ⣿⣿⡌⠀⠀⠀⠀⡇⠀⢸⣿⣿⣿⣧⠀⠀⠀⢹⣿⣿⣿⡿⠞⢿⣿⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⠿⠿⢿⣿⣿⠿⠟⢁⣴⣿⡿⠁⢀⣾⠁⣀⠸⣿⣿⣇⠀ ⣿⣯⡇⠀⠀⠀⠀⡇⠀⠈⣿⣿⣿⣿⣷⣤⣤⣿⣿⡿⠋⢀⠀⣼⣿⠏⠀⠀⠀⠀⣀⣠⡤⣄⡀⠀⠀⠀⠙⣿⣇⠀⠀⠀⣿⣷⣤⣴⣿⣿⠟⠁⣠⡾⢧⡛⡴⣓⠞⣿⣿⡇ ⣿⣿⡇⠀⠀⠀⠀⢸⡄⠀⠘⣿⣿⣯⣁⡉⠉⠉⠉⠀⣀⣥⡾⠛⡟⠀⢀⣴⡚⢯⣱⢣⡝⣲⣍⢯⣿⡵⢦⡈⠙⠻⣿⣟⠉⠉⠉⠉⠉⠀⣀⣼⡟⣹⠲⣍⠳⣍⢞⣿⣿⠁ ⢸⣿⡇⠀⠀⠀⠀⠀⠹⣄⠀⠈⠛⢿⣿⣿⣿⠿⠛⠛⠋⠉⡠⠊⠀⢠⡻⢴⣩⢳⣬⣷⣼⣿⣯⣾⣻⡟⣬⢛⡄⠀⠀⠉⠐⢒⡤⣠⠲⣝⣹⣶⡟⣦⣿⣬⢛⡜⣺⣽⡿⠀ ⠈⣿⣿⠀⠀⣴⡚⣟⠲⣜⣻⢦⣀⠀⠀⠀⠀⠀⢈⣠⠶⠋⠀⠀⠀⡯⣕⣣⢎⡿⣋⢞⡻⣜⢫⢖⣿⡟⡴⣋⡇⠀⠀⠀⣴⡛⡴⢣⡛⣟⠯⣿⡛⢷⡘⢧⢫⠼⣱⣿⡇⠀ ⠀⠘⣿⣇⠸⣥⢛⡬⣛⣴⡷⣞⣿⡛⢦⣒⢶⡻⣏⠳⣦⡀⠀⠀⠀⠱⢎⠶⣩⢖⡹⢎⠵⠊⠷⠊⢧⣙⠶⠙⠀⠀⠀⠀⢣⡝⣜⡣⠽⣌⡳⢬⡝⡲⢭⢣⢏⡞⣵⣿⠁⠀ ⠀⠀⢹⣿⡔⣣⢯⣶⡿⣋⣶⣟⣶⠻⣷⢾⡛⢧⡍⣗⢲⡃⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠲⣍⡳⢥⡛⢦⣹⢱⣋⠞⡼⣼⣿⠏⠀⠀ ⠀⠀⢠⢻⣿⢇⡞⣱⢣⡓⡟⡝⣎⢳⡜⡲⢭⠳⡜⣎⠧⡝⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠦⣝⡲⢭⠳⣌⡳⢬⠏⣷⣿⡟⠀⠀⠀ ⠀⠀⠈⡄⢻⣎⡼⣥⢳⡹⣜⡱⢎⡳⣜⡹⢎⣳⠹⣬⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡀⠀⣠⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠑⠹⠎⡝⠲⠙⢁⣾⣿⠋⠀⠀⠀⠀ ⠀⠀⠀⠘⢄⠻⣷⣎⢧⠳⣌⣳⡙⢶⣡⢛⡜⢦⡛⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠟⠁⠀⠈⠙⠛⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣾⡿⠃⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠈⠢⣹⣿⡮⡗⠱⢦⡛⢦⢣⠏⠚⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⡟⠁⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠈⠻⣿⣾⢆⠀⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣴⡟⠋⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣶⣿⠟⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⢿⣿⣷⣤⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣠⣴⣾⡿⠟⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠻⢿⣿⣿⣷⣶⣦⣤⣤⣠⣤⣤⣄⣀⣀⣤⣴⣒⣣⣤⣦⣴⣶⣦⣶⣺⣿⡿⠿⠯⠛⠛⠛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⠛⠟⠻⠿⠿⠿⠿⠿⠿⠿⠿⠟⠛⠛⠛⠛⠛⠛⠋⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⠟⠋⠉⣩⣽⣟⣻⣙⠛⡛⠛⠛⣛⣻⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⡿⠃⠀⢔⣿⠟⠛⠉⠁⠱⡆⠀⠀⠠⡔⠒⠒⢤⠀⠉⢿⣿⣿ ⣿⣿⣿⡅⠀⠀⢡⢡⣶⣿⣿⠛⣶⣤⠀⠀⠀⣤⣤⣦⣤⠁⠀⠘⣿⣿ ⣿⡿⢩⡵⢶⡾⣵⣉⣉⡽⠋⠙⠻⠋⠀⠀⢻⡟⠋⢉⣉⣉⣭⣻⡿⣿ ⣇⡇⣿⠤⣾⠳⢦⣄⣀⠀⠤⠴⡶⢆⣀⠀⠈⢳⣦⣈⠉⢩⣇⢀⣿⣿ ⣿⣿⡺⠀⠘⢷⣦⣽⣍⠙⠓⣶⢯⣭⣄⣀⣶⣋⣁⣠⡵⣾⣿⠈⣽⣿ ⣿⣿⣿⡄⠀⠈⠳⣼⠉⠛⢿⣿⣦⣤⣼⣧⣬⣯⣤⣼⣷⣿⣿⠀⢾⣿ ⣿⣿⣿⣿⣦⣀⡀⢈⠛⢦⣼⡁⠀⠈⡏⠉⢻⡟⢻⠟⣿⣿⡟⠀⣻⣿ ⣿⣿⣿⣿⣿⣿⣿⣛⠿⣧⢄⣛⠛⠻⠿⠧⠿⠿⠿⠟⠛⣃⠀⠀⢸⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣭⣙⠛⠓⠲⠶⠴⠐⠢⢒⡈⠡⠐⠀⣸⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣦⣤⣄⣀⣀⣀⣀⣤⣶⣿⣿
⠀⠀⠀⠀⠀⠀⢀⠠⠄⠒⠂⠉⠁⠒⠂⠠⠄⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⡠⠊⠁⠀⠐⣿⣿⡿⠿⠆⠀⠀⢠⣬⣷⣤⡄⠀⠀⠀⠀ ⠀⠀⢀⠊⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠙⢄⠀⠀⠀ ⠀⢠⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢆⠀⠀⠀⠀⢳⡈⢆⠀⠀ ⠀⠆⠀⠀⠀⠀⠀⢠⠔⠂⢩⣿⣿⣯⠉⣿⠚⢉⣽⣶⣺⡇⠘⡆⠀ ⢠⠀⠀⠀⠀⠀⠀⠀⠉⠒⠈⠻⠿⠟⠰⠗⠑⠺⠿⢿⣿⡇⠀⣷⠀ ⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠋⠹⠃⠀⣹⠀ ⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀ ⠀⡆⠀⠀⠀⠀⠀⠀⠀⠀⠒⠒⠒⠚⠋⢉⠝⢿⠟⠺⠽⣠⠀⡆⠀ ⠀⠸⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣶⡇⢠⠇⠀⡷⠀⣸⠛⢅⠀ ⠀⠀⠹⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡄⢸⠀⣼⠁⢰⣿⠲⣺⠀ ⠀⠀⠀⠈⢷⣄⠀⠀⠀⠀⠀⠀⠀⠀⢸⠁⠀⠀⠀⠈⢹⠄⠉⣝⠀ ⠀⠀⠀⠀⠀⠈⠛⠶⣤⣤⣀⣀⣀⣀⣀⡇⠀⠀⠀⠀⡜⡇⠀⠘⡀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠉⠉⠘⡀⠀⣠⡼⠓⣽⣤⡴⢇ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠒⠒⠒⠃⠀⠈⢀⠈⠁
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣠⣤⣴⣶⠶⠿⠿⠿⠛⠛⠛⠿⠿⠿⠶⣶⣦⣤⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣴⡾⠟⠛⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠛⠻⢷⣦⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣴⣾⠟⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠻⣷⣦⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⡾⠟⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⢷⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢀⣴⡿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠘⢿⣦⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣠⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠙⢿⣄⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣼⡟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀ ⠈⢻⣧⠀⠀⠀⠀⠀ ⠀⠀⠀⢀⣾⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠹⣷⡀⠀⠀⠀ ⠀⠀⢀⣾⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠹⣷⡀⠀⠀ ⠀⠀⣼⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢹⣧⠀⠀ ⠀⣸⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢻⣇⠀ ⢀⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠘⣿⡀ ⢸⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀ ⠀⠀⠀⠀⠀⢻⡇ ⣾⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀ ⠀⠀⠀⠀⠀⠀⢀⣀⣀⠀⠀⠀⠀⠀⠀⠀ ⠀⢸⣷ ⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣷⣦⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣶⣿⣿⣿⠂⠀⠀⠀⠀⠀⠀⠀⠸⣿ ⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢛⣿⣿⣿⣿⣷⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿ ⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⡏⠙⠛⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠋⠁⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿ ⢿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡿ ⢸⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⡇ ⠈⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⠁ ⠀⢹⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⡇⠀ ⠀⠀⢻⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⣸⡟⠀⠀ ⠀⠀⠈⢿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⣰⡿⠁⠀⠀ ⠀⠀⠀⠈⢿⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣿⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⣰⡿⠁⠀⠀⠀ ⠀⠀⠀⠀⠀⢻⣧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣿⣿⣷⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣶⣿⣿⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⡟⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠙⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⢿⣿⣿⣷⣦⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣶⣿⣿⣿⠟⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⠋⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠈⠻⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠿⣿⣿⣿⣿⣶⣶⣦⣤⣤⣤⣤⣶⣶⣾⣿⣿⣿⡿⠟⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣾⠟⠁⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠙⠛⠻⠿⠿⠿⠿⠿⠿⠿⠿⠛⠛⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⢷⣦⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⡾⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠻⢷⣦⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣴⡾⠟⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠻⢷⣦⣤⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣤⣴⡾⠟⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠙⠛⠻⠿⠶⣶⣶⣶⣦⣤⣴⣶⣶⣶⠶⠿⠟⠛⠋⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
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⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣤⡤⢖⣒⣒⣒⣲⣒⡦⠤⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣀⡴⣞⡯⠝⠚⠉⠁⠀⠀⠀⠀⠈⠉⠙⠓⠬⣝⡢⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣠⢞⡭⠞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠢⣙⢦⡀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢠⠞⣱⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠳⡙⣆⠀⠀⠀⠀⠀ ⠀⠀⠀⣰⢏⡞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣎⢧⠀⠀⠀⠀ ⠀⠀⢰⢣⠟⠀⠀⠀⠉⣿⣏⣣⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣤⡶⠀⠀⠀⠘⣎⢧⠀⠀⠀ ⠀⢀⡟⢸⠀⠀⠀⣀⣤⠿⣽⣛⠿⣷⣄⠀⠀⠀⠀⠀⠀⠀⣰⣾⢿⣻⡧⠦⣤⣀⠀⠀⠉⣸⡇⠀⠀ ⠀⢸⠇⢸⠀⣰⠟⠉⠀⡠⠀⠈⠙⢮⢻⣧⣢⠀⠀⠀⢩⣾⢟⡵⠋⠀⣀⣀⠀⠉⠳⡄⠀⢰⣿⠀⠀ ⠀⢸⠆⢸⢰⣿⠀⠀⣾⣿⣿⡆⠀⢸⣷⣹⣿⠀⠀⠀⠹⠏⣿⡇⠀⣰⣿⣿⣷⠀⠀⣿⠀⠸⣿⠀⠀ ⠀⢸⡎⢸⡆⢻⡄⠀⠙⠛⠋⠁⠀⣸⣿⠳⡌⠀⠀⠀⠐⠟⣏⣷⣀⠀⠙⠋⠁⠀⣰⠿⡇⢨⣿⠀⠀ ⠀⠘⣿⠾⣧⣀⣭⣶⣦⣤⣤⡴⠾⢻⣿⡀⠐⠀⠀⠀⠀⢀⣿⣟⣺⣷⠶⠶⣶⣯⡧⡾⠻⣿⡏⠀⠀ ⢠⣾⠋⠀⢉⠉⣿⢿⣍⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠉⠀⠀⠀⠀⢠⡾⣽⡆⠀⠀⠈⠻⣄⠀ ⣿⠈⠀⠀⠀⢠⣿⠈⢿⡻⡖⡶⢶⣤⣤⣤⣤⣤⣤⣤⣤⣤⢴⡶⢶⠞⣿⡿⠁⢻⡄⠐⠀⠀⡀⣽⡀ ⠹⢦⣔⣀⣢⣿⢣⠀⠀⠙⢷⣙⡶⢲⡘⣶⡳⡜⣆⠳⣜⢢⠳⡜⣥⡿⠋⠀⠀⡜⣷⣄⣂⣥⣾⠟⠀ ⠀⠀⠈⠉⠀⠙⢧⡒⡄⢀⠀⠉⠛⢿⣿⣧⣹⣜⣮⣳⣌⣧⡽⠞⠉⠀⠀⢠⢸⣴⠟⠀⠈⠁⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠙⠳⣌⡆⢤⡀⢀⠀⠈⠉⠉⠉⠉⠁⠀⠀⢀⠠⢤⣭⠾⠋⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠲⢥⣎⣔⣢⣰⣀⣦⣐⣡⡾⠼⠚⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠉⠁⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⡠⠔⠊⠉⠁⠀⠀⠀⠈⠉⠑⠢⣄⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢠⠞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠑⣄⠀⠀⠀⠀⠀ ⠀⡠⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢢⠀⠀⠀⠀ ⢠⠁⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢣⠀⠀⠀ ⡌⢀⠔⠊⠉⢹⣷⣶⡄⠀⠀⠀⠀⠀⠀⠀⡴⠚⢹⣿⣶⣾⡀⠀⠀ ⣇⠋⠀⠀⠀⣸⣿⣿⣿⣆⠀⠀⠀⠀⠀⡜⠀⠀⢰⣿⣿⣿⡇⠀⠀ ⡿⣦⣤⣴⣾⣿⣿⣿⣿⣿⡄⠀⠀⠀⢰⣥⣤⣶⣿⣿⣿⣿⠇⠀⠀ ⡇⢿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀ ⠸⡈⣿⣿⣿⣿⣿⡿⠿⣿⡇⠀⠀⠀⢸⣿⣿⣿⣿⣿⢋⠆⠀⠀⠀ ⠀⠑⣌⠻⢿⣿⠏⢀⡠⠞⠀⠀⠀⠀⠈⠻⣿⣿⣿⣧⠎⠀⠀⠀⠀ ⠀⠀⠈⠲⣄⠈⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡔⠁⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠹⡦⠤⢀⣀⣀⠀⣀⣀⡀⠤⠒⠁⡇⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢰⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⢰⠒⠒⠒⠒⡄ ⠀⠀⠀⠀⠀⠸⣸⠀⠀⠀⠀⠀⣀⡀⠀⠀⠀⠀⡇⠸⢶⣾⣿⡇⡇ ⠀⠀⠀⠀⠀⠀⠉⡀⠀⠀⢰⠋⠀⠉⢢⠀⠀⠀⡇⠀⣼⣿⣿⡧⡇ ⠀⠀⠀⠀⠀⠀⠀⠱⠄⠠⠃⠀⠀⠀⠘⢆⡠⠜⠀⠀⠓⠓⠒⠒⠁
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣻⣯⣭⣷⣾⣿⣾⢿⡿⣿⣾⣯⣿⣛⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣛⣭⡷⢾⡿⡟⡿⢻⠍⢧⠳⢌⢣⢓⡱⢎⠷⣛⠿⣻⠷⣾⣭⣟⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⡿⢛⡷⢟⣯⢮⣵⣿⣼⣳⣎⡱⣊⠌⣞⢢⡍⣎⠱⣊⠼⣡⢎⣧⣛⣴⣭⣫⡟⣮⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⡿⣽⠯⣝⡚⠈⢸⣿⣿⣿⠀⠛⣟⠤⢫⢌⠳⣜⢢⠛⣆⢳⣝⠋⠁⣿⣿⣿⡏⠹⣷⣛⣮⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣯⣾⡟⡱⠮⡽⣷⠾⣿⡿⢿⡰⡛⢯⡃⢇⠚⡹⢄⢣⡙⢌⠞⣎⣳⣸⣿⣿⣿⢇⡴⣯⢓⡜⣿⡝⢿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⡿⣧⣿⠿⣡⢑⡘⠬⡙⠹⡋⢟⠯⢹⠑⠢⡁⠎⡰⠐⡊⠦⣑⠊⡌⠭⡱⠭⢇⠯⡝⢯⡹⢉⠎⠲⣌⡻⡞⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣻⣿⢏⡳⣕⢪⠰⡡⢌⠱⡈⢆⡘⢄⡉⠒⠤⢑⠠⡑⣈⠒⠤⡉⠴⣁⠖⡡⢊⠴⢈⠆⡌⠰⣈⠡⣈⢓⢽⡹⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⡟⣿⡟⡼⡰⢎⠥⢃⠔⢨⠐⣐⠢⢐⠂⡌⢡⠒⢌⠰⡐⠤⠉⡔⢡⠒⢄⠢⡑⢢⠐⡡⢂⡘⠤⢐⠢⡐⢨⠊⢧⢻⣿⣿⣿⣿⣿ ⣿⣿⣿⡧⣿⡱⡒⢍⠲⢈⠆⡘⢤⢊⠔⢢⠁⠎⡰⠀⠎⡐⠢⡁⠆⡱⠈⡔⡈⠆⡱⢐⢂⠡⠒⠤⡐⠌⢢⠐⡁⠆⣹⢼⡞⢿⣿⣿⣿⣿ ⣿⣿⣿⡆⣿⡔⢡⠊⡔⢂⣬⣵⡣⡚⠬⡁⢎⠒⡠⠑⡌⠰⣁⠢⢑⠠⢃⠔⡈⢆⠡⢂⠌⢢⢉⠒⡤⣍⣦⡂⠅⡚⣜⢾⣿⢸⣿⣿⣿⣿ ⣿⣿⣿⣷⡏⡰⢁⢶⣸⣿⣏⠏⢱⠉⡰⢈⠰⡈⢰⢁⡈⢁⡀⠇⡈⢆⠁⡎⢰⠈⡆⢁⠎⡰⡈⠶⢁⠿⢾⣹⣷⣸⡸⢿⣿⢾⣿⣿⣿⣿ ⣿⣿⣿⢱⣽⣲⣿⣿⣿⣷⣼⣬⣂⣡⡐⡁⠆⡑⢂⠆⢌⠰⡀⢃⠌⢂⠥⠘⠄⠒⣈⣐⣨⣐⣌⣶⣬⣶⣿⠿⣿⣷⣿⣿⣿⢺⣿⣿⣿⣿ ⣿⣿⣿⣎⣿⡿⣿⣿⡷⣮⣝⣹⢛⡟⠻⠿⢷⣾⣶⣾⣶⣷⣶⠷⣚⠷⢚⠷⣻⠿⡛⠟⣛⢛⡫⢭⣭⢳⡾⣽⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿ ⣿⣿⣿⣿⡞⣿⡵⣫⢟⣧⢻⡜⣫⡜⡹⡜⢢⠔⡠⠄⡤⢀⢄⠢⣐⠠⢃⡜⣄⣲⡱⣫⣜⢧⣟⡷⣯⣿⣿⣿⣿⣿⣿⣿⣥⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⡸⣷⣱⢎⡜⢣⠞⣡⢚⡱⢌⡳⡘⢥⠚⡄⠣⣌⠲⣄⣋⠶⣜⡖⣧⢻⡵⣺⣳⣿⣿⣿⣿⣿⣿⣿⣿⣿⢧⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣧⢛⣿⣿⣶⣧⣘⢤⢃⡔⢢⡑⣌⣂⢣⡬⡵⣬⢳⡼⣍⣟⡲⣝⡞⣧⣛⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣷⡳⣟⡿⣻⢵⢪⣳⢚⡧⣝⠶⣭⡳⣝⣳⢭⣳⢳⡞⣲⡽⣮⣟⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣵⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣷⣎⡿⣽⣎⠷⣭⢻⡼⣭⢻⢶⡹⢧⣏⡷⣭⣷⣻⢷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣯⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣮⠻⣿⣳⣯⣞⡵⣛⣾⣹⣳⣟⣾⣟⣾⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢟⣯⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣯⡳⣿⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢟⣿⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣾⣽⣟⣛⡿⠿⠿⠿⠿⠿⣟⣛⣛⣻⣭⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⣿⣿⣷⣶⣴⣾⣿⣿⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣀⣤⣤⣴⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣤⣤⣤⣄⠀⠀⠀⠀ ⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠀⠀⠀ ⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀⠀⠀ ⢀⣤⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⡀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠁⠈⢻⣿⣿⣿⣿⣿⣿⣿ ⢿⣿⣿⣿⣿⣿⣿⣿⡿⠻⣿⣿⣿⣿⣿⣿⣿⠟⠁⠂⢀⣵⣿⣿⣿⣿⣿⣿⣿⣿ ⢈⣿⣿⣿⣿⣿⣿⣯⡀⠀⠈⠻⣿⣿⣿⠟⠁⠀⢀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⡁ ⣾⣿⣿⣿⣿⣿⣿⣿⣿⣦⡀⠀⠈⠛⠁⠀⢀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⡀⠀⢀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠈⠛⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠁ ⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀ ⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀ ⠀⠀⠀⠀⠉⠛⠛⠛⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠛⠛⠉⠁⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⣿⣿⣿⠿⢿⡻⠿⣿⣿⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⢀⣀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡠⣄⠀⠀⠀⠀⠀ ⠀⣴⠊⠛⠦⣅⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠃⠈⠈⠳⡄⠀⠀⠀ ⠸⣿⠀⠀⠀⠉⢹⣆⠀⠀⠀⠠⡶⠖⢦⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢻⡄⠀⠀⠈⡆⠀⠀ ⠀⠈⣧⠀⠀⠀⠀⠉⠓⠂⠐⠋⠀⠀⢸⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⡆⢀⢰⣶⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡒⠀⣤⢀⠀⠈⡇⠀⠀⠀⢹⡂⠀ ⠀⠀⢹⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⠞⠄⠀⠀⠀⠀⠀⠀⠀⣀⣤⣾⠿⠁⠈⠁⠉⠻⢷⠶⠴⢭⡄⠤⡀⠀⠀⠀⠀⠀⢿⡇⠀⠈⢢⠀⣸⡇⠀⠀⠀⠐⠁⠀ ⠀⠀⠀⢻⠀⠀⠀⠀⠀⠀⠀⠀⢐⡏⡀⠀⠀⠀⠀⠀⠀⣠⡚⠛⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠑⢮⡀⡀⠀⠀⠀⠉⢳⡄⠀⡘⠛⠋⠀⠀⠀⠀⠀⡄⠀ ⠀⠀⠀⢀⣇⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⢀⣴⠏⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣌⢂⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⢰⣧⡅ ⠀⠀⠀⠀⢻⣄⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⣠⡾⠁⠀⠀⠀⠀⠀⣠⡴⠖⠤⠴⠤⠶⠀⢄⠀⠀⠀⠀⠀⠀⠈⠓⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⢠⣤⠞⠵⠁ ⠀⠀⠀⠀⠀⠻⣦⡀⠀⠀⠀⢰⡺⠀⠀⠀⢀⡾⠇⠀⠀⠀⠀⣠⡾⠋⠀⠀⠀⠀⠀⠀⠀⠀⢹⣀⡀⠀⠀⠀⠀⠀⢱⠀⠀⠘⠛⢧⡀⠀⠀⣀⣴⠟⠁⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠈⠓⠖⠶⠶⠵⠃⠀⠀⠀⢺⢈⠀⠀⠀⢀⣰⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠙⢆⠀⠀⠀⠀⠀⠸⣄⠁⠀⠀⠈⠻⠒⠚⠏⠁⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢘⡀⠀⠀⠀⢸⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣡⡀⠀⠀⠀⠀⢸⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠃⠀⠀⣠⡎⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⠀⠀⠀⠀⢻⡁⡀⠀⠀⢀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡔⠀⠀⡾⠀⠀⠀⠀⢀⡤⠞⠁⠀⠀⠀⠹⠄⠀⠀⠀⠈⢯⠀⠀⠀⣠⣼⠅⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠿⣧⠀⢸⡇⠀⠀⢠⡼⠋⠀⠀⠀⠀⠀⠀⠀⠀⢰⠀⠀⠀⠸⡄⠀⢀⣿⣏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣄⣸⡁⠀⢀⠾⡆⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠀⠀⢠⡣⠀⣸⡿⠂⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠿⣬⠛⠁⡆⠉⡆⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⢧⠀⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣿⣆⣀⣁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠀⢀⣸⣤⣿⠯⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠀⠘⠳⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣴⠿⠋⠛⠛⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠙⠛⠲⠖⠒⠒⠂⠒⠒⠒⠛⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
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⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡠⢚⡥⢃⣼⠏⣰⣿⣟⣿⣏⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣧⣛⠄⣾⠠⠈⠀⠀⠀⠀⠀⠀⠀⠀⢺⡿⠁⢀⣶⣿⣿⣿⣷⠀⢀⣼⠃⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⢿⣬⠇⣶⢧⡟⠀⢃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠱ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡤⠖⣉⡤⠖⠉⢠⡟⢣⣞⣧⣿⣟⡿⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⢾⡱⢬⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣇⠀⠘⣿⣿⠏⠙⠋⠀⠘⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⣿⣿⢿⣀⣺⠏⣽⡀⠈⢁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣩ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⠶⠚⣡⡴⠞⠉⠀⠀⡰⢛⡏⣣⣟⡽⣛⣾⢳⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⢿⡱⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⡙⢮⣖⡌⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣾⣿⡟⠀⢺⠡⠀⠘⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡰ ⠀⠀⠀⠀⠀⠀⠀⣠⠖⢋⢥⡶⠟⠉⠀⠀⠀⢠⠚⠀⢸⣢⣵⢻⢟⣿⢾⣷⣿⣿⣿⣿⣿⣿⣿⠟⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡽⣧⣿⢃⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠀⠀⠀⠀⠀⠀⠀⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿⣷⠀⢊⢃⢀⠀⢰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠴ ⠀⠀⠀⠀⢀⡴⢋⢡⡴⠟⠉⠀⠀⠀⠀⢀⠔⠁⠀⠀⢸⡽⢸⣯⣿⡿⣿⣿⣯⣿⣿⡿⢿⣽⣪⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⠿⣜⢧⡂⠌⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⡀⣤⡤⢴⢋⠝⡳⢦⡀⠀⠀⠀⠀⢀⣿⣿⣿⣿⣿⡇⢹⣆⡜⡘⡌⡄⠰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢊ ⠀⠀⠀⠠⠋⣠⠾⠋⠀⠀⠀⡠⠀⢀⡴⢋⠀⢀⠿⠀⣸⣏⢚⣼⡛⢼⣿⣿⣿⣿⠟⣹⡟⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⢻⡽⣎⡻⣵⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣶⠿⣌⣓⣖⡼⢬⣯⣼⣱⣿⣿⣤⡄⠀⠀⢠⣿⣿⣿⣿⣿⢃⠈⠹⣆⠑⣆⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢣ ⠀⠀⠀⢀⠔⠁⠀⠀⠀⠀⠁⠀⡔⡛⠁⡌⠀⡎⠀⠀⠊⢡⡏⢸⣵⣿⣿⣿⠏⣡⣾⣽⣳⢷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⡾⣯⢳⢣⡛⠢⢽⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣾⣿⣶⠟⠉⠉⢻⠀⠀⠀⠀⣿⣿⣿⠛⠁⠀⠀⠠⣿⣿⣿⣿⣽⣼⣄⠀⠈⢷⠘⡆⠀⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡌ ⠀⠀⡠⠃⠀⠀⠀⠀⠀⠀⣀⣼⠜⠀⢰⠀⣸⠏⠀⠀⠀⡜⣀⣿⣿⣿⡿⣡⠞⣱⣿⢿⢏⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣞⣿⢳⣏⣶⡅⢣⠘⠧⡀⠀⠀⠀⠀⢀⣼⣥⣾⡿⠟⣋⣀⣸⣄⣀⡤⠤⠧⠴⠒⠛⠋⠉⠀⠂⠀⠀⠀⠐⣿⣿⣿⣯⢿⡆⣟⢄⡀⠈⢣⠘⠄⠰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢌ ⢀⠀⠀⠀⠀⠀⠀⠀⢠⠾⢋⠎⠀⢠⠃⠰⠁⠀⠀⠀⠄⣞⣽⣵⣿⣯⠟⢡⡾⢻⣽⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⡾⣏⠶⡹⢌⢢⢁⠂⡙⠀⠀⠀⠀⢸⣿⢿⣿⡿⡟⡭⡍⠖⡤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⡜⣿⣿⣿⣿⢇⡞⣼⡈⢧⠀⠀⢣⠸⡀⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢢ ⠎⠀⠀⠀⠀⠀⠀⡰⠋⢠⠊⠀⢠⠃⠀⠁⠀⠀⢀⠂⠀⣿⣿⣿⡿⢥⣒⡿⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⢷⣹⣞⡱⢌⠆⢢⠁⠘⠀⠀⠀⠀⠀⠐⠠⠀⠉⠑⠑⠊⢃⠒⢁⠂⢄⠠⣀⢀⡀⠄⠰⠈⠀⠀⠀⠐⣼⣿⣿⣿⣿⣾⢱⠈⣧⠈⣧⠀⠀⣳⡱⡈⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡰ ⠆⠀⠀⠀⠀⣠⠊⠀⡼⠁⠀⢀⡇⠀⠀⢀⠀⠠⡼⠀⣸⣿⣿⠏⣰⢋⣼⣳⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣳⢧⢿⡦⢍⢺⣀⠂⡐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠈⠁⠀⠂⠀⠁⠀⠀⠀⠀⢀⠢⣹⣿⣿⣿⣿⣿⣾⣄⢸⡆⢩⢇⠀⠀⠱⡑⣌⠢⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰ ⠆⠀⠀⠀⠈⠘⠀⡼⠁⠀⢀⠞⢠⠄⠀⡰⣡⠆⡼⠀⣾⣿⠟⡼⢣⣾⣿⣿⣿⣿⣿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⡟⡶⣿⢄⢣⠙⢦⡀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⢒⣹⣿⣿⣿⣿⣾⣿⡿⣆⢻⡀⢸⡄⢂⠀⢻⡏⠢⡌⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠑ ⣷⠀⢀⠂⠀⢀⡾⠀⠀⢀⠊⢀⠇⢀⣜⡵⡱⣲⡇⢰⣿⢏⣆⣴⣿⣿⣿⣿⣿⣿⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡽⣧⢯⠿⣦⠙⡒⠾⣄⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⡰⣮⣿⣿⣿⣿⣯⡽⢿⣝⢧⣧⠀⠏⢆⡄⠘⣷⠀⠈⠲⡄⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡘ ⣹⣆⠃⠀⠀⡾⠁⠀⢠⡾⠁⠀⣠⡷⢩⠀⣶⠿⢀⣽⠋⣾⣾⣿⣿⣿⣿⣿⣿⢧⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣿⣽⣻⡻⣜⡛⡱⢢⠄⡃⠄⠠⢀⠠⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠱⣽⣿⣿⣿⣿⣿⡇⢿⣧⢛⣎⢻⣧⡈⠂⠲⠀⣿⠀⠀⠀⠈⢂⡢⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢈ ⢸⣏⡆⠀⡼⠁⠀⢠⠞⠁⢠⢞⡹⠆⢀⡾⣡⢣⣾⣏⢠⣿⣿⣿⣾⣿⣿⣿⠟⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣳⢷⣭⡓⡱⢆⡜⠤⣉⠂⣄⠂⢄⠐⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⢦⡶⣿⣿⣿⣿⣿⣿⣿⣿⡸⢼⣇⠾⡆⢯⠻⡄⠑⢇⣿⠀⠀⠀⠀⠀⠻⡧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠌ ⠳⢌⠾⡰⠁⠀⡰⢃⢴⠞⣵⣿⠇⠀⢩⣴⣳⡿⣿⡇⣿⣿⡟⣿⣿⣿⣿⣯⢞⣿⣿⣿⣿⣿⣿⣏⣿⣿⣿⣿⣿⣿⣿⣿⣿⣏⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡿⣏⡾⡽⣗⣢⠜⡒⢄⠊⠤⡉⠆⠬⡐⢄⠂⡀⢀⠀⠀⢀⠀⡀⢀⠠⡐⢌⡰⡘⣯⣿⣿⣿⣿⢽⣿⣿⣿⣟⣿⢸⣿⡟⣿⣎⢁⠹⡆⠈⣿⠀⠀⠀⠀⠀⠀⠰⢣⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘ ⣧⢋⠜⡁⠀⠈⣐⠌⡡⠚⠉⣠⣴⣯⣿⣿⣿⣿⣿⢁⣿⣽⣿⣿⣿⣿⡿⢃⣾⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣷⣛⡜⡰⢋⡔⢌⡘⠠⢁⠊⠔⡉⠦⡱⢘⠢⠚⡌⢆⢊⠒⣌⠒⡍⢢⣱⣿⣿⣿⣿⢻⣯⢸⣿⣿⣿⣿⣾⢿⣻⢹⡟⣷⡘⡀⢿⡄⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢈ ⡧⢋⠰⠀⠀⠊⢀⠴⣃⢄⡿⣡⣷⣾⣿⣿⣿⣿⣿⢰⢿⣿⣿⣿⠟⣝⡇⣿⣿⣿⣿⣿⣿⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣟⣮⡕⣣⠔⡂⢌⡑⢠⠘⡠⢐⠰⣀⠣⡌⡱⢈⠦⣌⠣⡔⡡⠘⠄⣿⣿⣿⣿⡏⣹⣻⡘⣿⣿⣿⣿⣿⣿⣿⠀⣿⡽⡇⠃⠈⢣⢹⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠ ⣣⠜⠁⠀⢀⠤⢠⡞⢱⣺⣿⣿⡿⣿⣿⣿⣿⣿⣿⠚⠼⣿⣿⣏⡴⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣞⣣⢖⡌⣆⢳⡘⢦⡙⢤⠓⡬⢱⣉⠖⣌⠧⡐⠡⠁⢈⣿⣿⣿⣿⡗⠀⣿⠻⣽⣿⣿⡿⣿⣿⣿⡇⢸⡝⡇⢡⠀⠸⢺⢣⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰ ⠡⠄⡈⠄⠀⣠⣮⣶⣿⣿⡿⠋⣀⣿⣿⣿⣿⣿⣿⠆⢸⣟⣵⡿⣵⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡾⡽⢎⠧⡙⢦⡙⡌⢣⠉⠒⢌⢨⠄⠂⠌⠀⠀⠠⣿⣿⣿⣿⣿⡈⢳⠃⣿⣿⣿⣿⣿⣿⣟⣷⡼⡇⣽⡼⢄⠀⣧⠲⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡐ ⡜⡲⢡⢠⣿⣿⣿⢧⣿⠟⠀⣰⢟⠭⣿⣿⣿⣿⣿⠇⡉⣬⣟⣳⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣷⡊⠖⣉⠰⠠⠑⠂⠌⠡⢈⡀⠂⡁⠀⠄⠀⠐⣿⣿⣿⣿⣿⣳⣌⢩⣿⣾⣏⣿⣿⣷⣿⣿⡇⡵⢸⠸⡄⢄⢹⠀⠙⡄⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠ ⢧⣓⣧⣿⣿⣿⡯⣼⠛⢀⡞⡁⢺⠐⣿⣿⣿⠟⡁⢚⡿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⡵⡄⢆⠡⠈⢀⠈⠠⠄⢀⠁⠀⠀⠀⠀⠀⣿⣿⡯⣿⣟⢿⣲⣿⡏⣸⣿⡿⢹⢿⣿⣿⢏⣷⣸⣧⠱⠘⢸⠀⠀⠈⢆⠀⠀⠀⡜⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐ ⣿⣿⣿⢻⣯⣿⣷⣟⡼⠋⢀⠀⢐⢠⣿⠟⠁⣴⣯⣿⢿⣿⣿⣿⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⣿⣦⡐⡀⠀⠀⠀⠄⠠⠀⠃⠀⠀⠀⠘⠘⣿⣿⣿⡿⣼⣿⣿⣤⣿⢿⡇⢸⠨⢿⡿⣹⣿⣧⡟⠳⡇⢻⡷⠀⠀⠀⠳⡀⢼⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢈ ⣿⣿⣟⡈⢿⣿⣿⣏⡐⠠⠠⠄⡣⠾⣡⠶⢛⣾⠾⣫⣿⣿⣿⣏⣾⣿⣿⣿⣿⠛⣾⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⡟⣿⢿⣿⣿⣿⣷⡩⠿⣿⣶⣤⠈⠀⡀⠀⠀⠀⠀⠀⠀⠈⡀⢻⣿⣿⡇⣿⣿⣿⣿⠟⣼⠁⢸⠀⢫⣿⣟⣿⣿⣇⠎⢹⠀⡇⠀⡀⠀⠀⢱⢝⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠ ⣿⣿⣷⣌⣌⢹⠻⣿⣾⣦⡍⢉⣤⠞⠁⣀⣭⡶⢟⣵⣿⣿⣿⣿⡟⣿⣿⢏⣵⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⣿⣿⣿⣿⣿⣿⣿⡾⣎⣿⢿⣿⣿⣿⣎⡓⢻⣦⠀⠄⠀⠄⠀⠀⠀⠀⠀⠀⡇⠈⣿⣿⣷⣿⣿⣿⠏⣼⡏⠀⢸⠀⠀⢿⣿⣿⣿⡟⢆⠸⡄⣟⣄⠀⠂⠀⡌⠆⠣⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐ ⣿⣿⣿⣟⡿⢋⠿⡻⠟⠛⠒⠋⠁⠀⣠⣿⢟⣱⣿⣿⣿⣿⣯⡿⢹⠛⣠⣿⣿⡿⣿⣿⣿⣿⡿⣧⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣟⣿⣶⣽⢚⣿⣿⣯⣿⣼⡡⢻⣿⣄⡀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠈⢿⣿⣿⣿⢿⡶⣿⠃⡀⠈⡇⠀⠈⣿⣿⣿⣇⣎⢶⣠⢹⡘⢦⡀⠀⠦⠄⠀⠙⢤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐ ⡻⣝⢯⢏⣽⡦⠎⠁⠀⠀⣠⠀⠀⢾⣿⣿⣿⣿⣿⣿⣿⣽⠿⢡⣶⢿⣿⣿⡟⣕⣿⡿⣿⢟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣏⠟⡺⠿⣿⣿⣿⡿⣥⣯⢣⡙⠦⣄⢀⠀⠀⠀⠀⠰⣄⠀⢸⣿⣿⣿⣆⣿⣿⡳⣅⠈⢣⠀⢀⣿⣷⣿⡇⢻⣬⡿⣄⣧⠐⠳⣄⠃⡀⠀⠀⠀⠳⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈ ⡷⣉⢦⠟⠛⠒⠒⢂⠈⠁⠀⢀⣴⣿⣿⣿⣿⣿⠟⣵⢛⡽⢾⣿⣽⣿⣿⢏⣾⣟⣯⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣟⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣯⠰⣌⢻⣿⣿⣷⣽⠟⡦⣷⣄⠀⠉⠂⠀⠀⠀⠀⠻⣿⣶⣿⡇⠙⢯⣿⣏⢻⢾⣁⠈⣦⠈⣿⣿⣷⣯⠀⢳⡧⡉⢿⣇⠀⠈⠙⣧⡀⠀⠀⠀⠈⢢⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈ ⡷⠋⠁⠀⠀⠀⠀⠀⢀⣠⣶⣿⣿⣿⣿⣿⠟⠃⠈⣁⣿⣥⣿⢿⣿⠟⣡⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣿⣿⣻⣬⣓⣾⣿⣿⣟⡲⣕⣈⠻⣧⣄⠀⠀⠀⠀⠀⠀⠉⠻⣿⣷⠂⠈⣿⢿⣷⣴⡙⢷⣷⣿⣿⣿⡞⣿⡄⠀⡧⡐⣆⢻⣳⡄⠀⠹⡌⠑⠢⢄⡀⠀⠑⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢀⣠⣾⣿⣿⣿⣿⠟⡛⠃⠀⢤⣰⣿⣿⣿⢏⣿⠏⣴⣿⣿⣟⣳⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢿⢛⢋⠻⢾⣦⡗⠲⡒⢯⡑⠀⠀⠀⠀⠀⠀⠀⢙⣿⡌⠀⣿⡂⠈⠉⠛⠈⢈⣿⣿⣻⢠⢸⣷⠀⡇⢣⠘⢷⣷⡻⣆⠀⠘⢄⠀⠀⠈⠑⠤⣈⢢⠀⠀⠀⠀⠀⠀⠀⠀⢀ ⠀⢀⣀⣤⣤⣾⣿⡿⠿⠛⠛⠉⠀⠀⢀⡤⠋⠉⢉⣿⣿⢏⣾⣯⣼⣿⣟⣵⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣎⡴⣁⢎⡄⢳⣀⠩⠿⢷⣮⣉⠿⣦⠀⠀⠀⠀⠀⠀⠀⠹⣿⣦⣹⠷⡀⠀⠀⠀⣸⣿⡏⣹⢣⡆⢿⣧⢡⠘⢇⠀⡊⠿⣝⣣⠀⠀⠈⢂⠀⠀⠀⠈⠳⢧⡀⠀⠀⠀⠀⠀⠀⠀ ⣾⣿⣿⠿⢛⣉⠡⠤⠒⠂⠁⠀⠀⠊⠹⡀⣀⢐⡢⠩⢏⣞⣿⣿⣫⢟⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣳⣙⣷⣶⣦⣭⣿⣿⣾⠇⠀⠀⠀⠀⠠⠀⠀⠻⣿⣿⣇⠹⣆⠀⠀⣿⣿⣿⣽⠸⣿⣾⣿⣿⡄⠘⡄⠘⢆⠹⣦⣧⠀⠀⠈⢀⣀⡀⠀⣀⠀⠹⣄⠀⠀⠀⠀⠀⢈ ⠛⠋⠉⠀⠀⠀⢀⡀⠀⠀⢰⠊⠉⠛⠛⢿⣦⣄⣡⠇⢠⡿⣫⢟⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣗⠺⢄⡙⠶⢤⡄⠉⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣷⡈⠳⣌⣿⢾⡇⢻⡧⣻⣿⣿⣿⣭⣖⠳⣖⠶⣷⣿⣷⡍⢿⣿⣯⣻⣟⣆⠀⠉⠢⣜⣧⡀⠀⠀⠀⠀ ⠀⡀⠀⠀⠄⠠⠽⠚⡲⣔⠛⢢⣄⡀⢀⡀⣉⣿⠁⣠⣾⢾⠇⣺⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠼⣗⢆⠠⡑⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣿⣿⣿⡀⢹⣿⣾⡇⠘⣷⠈⢿⣿⣿⣻⡾⣿⣽⣷⣿⣿⢿⣿⣆⡙⣾⣷⣟⣿⣆⠠⢄⡀⠻⣿⡄⠀⠀⠠ ⠐⠀⠀⠰⠀⣀⠒⠈⢠⢼⠉⣦⢵⣆⡁⠴⢂⢇⣴⢟⣷⢣⣿⣿⣿⢟⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣗⠦⢍⠆⠱⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⡯⣿⣿⣹⡇⢾⡏⠿⢿⣯⠴⠿⣿⣿⣿⡿⣞⣿⡿⣿⣿⣿⣿⢳⡘⢿⣿⣿⣿⣆⠀⠀⠑⠌⢿⣆⠀⠐ ⡉⠆⡀⠄⠀⠘⠉⠻⠓⠙⠉⠀⠀⠈⢩⢛⣿⠟⢁⡼⣡⣿⣿⣿⣱⣟⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣈⠃⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⠀⠀⠀⠀⠈⣿⢼⣿⣿⣧⠀⣷⠀⠘⣿⣆⠀⣿⣿⣿⣿⣿⣿⣝⡿⣷⣿⣿⣿⣿⡜⣻⣿⣿⣿⣧⡀⠀⠰⢨⢿⣧⢈ ⠲⣄⠀⢂⠈⠄⡐⠀⡀⠄⠀⠂⢀⣨⣶⡿⢫⢎⡞⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡝⢿⣧⣀⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡐⠸⣿⣿⣿⣿⡆⢸⣆⠁⣿⣿⡷⣿⡝⣿⣿⣿⣿⣯⣟⣽⣿⣿⣿⣿⣟⣼⣿⣿⣿⣿⣿⡆⢩⠖⣎⢿⣧ ⣳⣌⠳⣈⠔⡠⢂⠡⢀⡈⢰⣤⠟⣱⡟⢡⣾⠞⣼⣿⣿⣾⣿⣿⡿⢏⣻⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢢⠝⣿⣝⡐⢠⢁⠠⢀⡀⠄⠠⠐⡄⠠⣁⠂⠤⡘⣥⢻⣿⣿⣿⣿⣦⣻⡞⢿⣾⣿⣿⣇⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣞⣿⣿⣿⣿⣿⣿⢢⡟⣮⣟⣿ ⣗⢮⡳⣥⠚⡴⣈⣱⢢⣐⢟⣡⣾⢋⣰⣯⢭⣾⣿⣿⣿⣿⣿⡟⣡⣮⣿⣿⣿⣿⣿⣿⡞⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣮⣿⣴⣿⣗⣢⡜⣐⢢⡰⣈⠦⡑⢬⠑⡤⡙⢦⣙⢶⣻⣿⣿⣿⣿⣿⣟⣿⣜⣷⣿⣿⣿⣞⣿⣿⣿⣿⣿⣿⣿⢿⣿⡏⠙⣿⠿⣿⣿⣿⣿⣿⣷⡽⣷⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡼⠟⠟⢻⡿⠅⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠁⠁⠀⠸⢍⠒⠢⢄⡀⠀⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⠴⣾⡣⠍⠚⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠑⠢⢄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣶⣾⡭⠿⠛⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠂⢤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠔⢾⡅⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠁⠈⠑⠢⢄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠔⢯⡵⠚⠁⠀⠀⠀⠀⠀⠀⠀⠀⢀⡐⠊⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠀⠐⠠⡌⠓⢄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡤⢺⣠⠜⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠨⡑⠢⠈⠲⢄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠴⢻⠝⠃⠀⠀⠀⠀⠀⠀⣀⡴⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠈⠳⡤⣠⡙⠢⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠴⢡⠴⠀⠀⠀⠀⠀⠀⠀⣀⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠻⢦⡉⠦⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡴⢩⡴⠁⠀⠀⠀⠀⢀⡤⠞⠉⠁⠀⠀⣀⣠⣴⣶⣶⣿⣿⣿⣿⣿⣿⣷⣶⣦⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣴⣶⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣦⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⢨⠻⣧⡜⢦⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡴⢋⡴⠋⠀⠀⠀⠀⠀⠴⠋⠀⠀⢀⣤⣶⣿⣿⣿⣿⣟⣿⣽⣻⣾⢷⣯⣿⣽⣟⣿⣿⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⣿⣿⣟⡿⣯⣷⣿⣞⣷⣿⣿⣻⣿⣿⣿⣿⣷⣦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠉⠺⣗⣇⡽⣄⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠟⣠⠏⠀⠀⠀⠀⠀⢠⠆⠀⢀⣴⣾⣿⣿⣿⣿⡿⠿⠟⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠿⢿⠿⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⠿⠿⠿⠛⠛⠉⠉⠉⠉⠉⠉⠉⠛⠛⠛⠿⢿⣿⣿⣿⣿⣦⣄⠀⠀⠀⠀⠀⠀⠀⠀⢉⠳⡎⢢⡀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡜⢡⠼⠁⠀⠀⠀⠀⠀⠀⠎⢀⣴⣿⣿⣿⠿⠛⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⢿⣿⣿⣷⣄⠀⠀⠀⠀⠀⠀⠈⢦⡙⣇⠕⣄⠀⢀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡟⣨⠏⠀⠀⠀⠀⠀⠀⠀⠘⢠⣿⣿⡿⠟⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠈⠉⠦⡈⢦⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⠃⣼⠁⠀⠀⠀⠀⠀⡤⠀⠀⠁⠘⠛⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠃⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⢪⡄⡇ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⠣⣼⠃⠀⠀⠀⠀⠀⠜⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⢝⡇ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⠧⣾⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠍⡇ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠇⡼⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⡇ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠇⡌⡐⠠⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡎⣰⠇⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣤⡤⠤⠤⠦⢤⣤⣄⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⡴⠶⠶⠶⠶⠶⠶⢦⣤⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡼⢠⡿⠈⠀⠄⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣤⣶⠞⠋⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠙⠲⠤⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⠖⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠙⠶⢤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⠗⣾⠡⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⠟⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⢶⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⠟⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠷⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡞⢱⡟⠀⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡾⠏⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣶⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⢦⡀⠀⠀⠀⠀⠀⠀⠀⠀⡇ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⣿⠄⡀⡅⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡼⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⠏⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⢹⣆⠀⠀⠀⠀⠀⠀⠀⡇ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⢁⡯⠸⠀⡆⠀⠀⠀⠀⠀⠀⠀⠀⢠⡿⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢹⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣧⠀⠀⠀⠀⠀⠀⡇ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡟⣸⠃⠌⣄⣠⣠⣀⣀⠀⠀⠀⠀⢠⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢈⣿⠶⠾⠻⠿⢻⢷⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣷⠀⠀⠀⠀⠀⡇ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠇⣿⠈⡼⠛⢩⠉⡍⠙⠛⠟⡾⣶⣞⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣶⣿⣿⣿⣿⣿⣶⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣴⣿⠛⠀⠔⠀⠀⠀⠉⢦⠙⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⢸⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣾⣿⣿⣿⣿⣿⣿⣶⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⡆⠀⠀⠀⠀⡇ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡞⣠⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢇⢻⣧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⡀⠀⠀⠀⣠⣴⡿⢟⠡⡀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢾⣿⠀⠀⠀⠀⠀⠀⠀⢀⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⡀⠀⠀⠀⡇ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⢉⣻⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠆⡩⢿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⠀⣤⣿⠿⢿⡛⣬⠓⠌⠀⠀⠀⠀⠀⠀⠀⠀⡌⣸⣏⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠇⠀⠀⠀⡇ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡏⣹⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢃⡜⡽⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢠⣿⢫⡝⢶⣙⠦⣍⠂⡀⠀⠀⠀⠀⡀⠐⡼⣐⣿⠇⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡅⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⡇ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠓⡏⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠴⡸⣽⣿⣿⣧⡀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣼⣃⠳⣎⡳⢬⠳⣌⢒⢡⠂⡔⢠⠡⢰⣩⢖⣻⡿⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⡇ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⡗⡦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡘⢰⢣⣿⣿⣿⣿⣷⣄⠀⠀⠀⠀⠀⠀⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣹⢯⡜⣣⠧⡝⢮⡱⢌⠎⣆⠳⡘⢦⡑⣋⠶⣹⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡿⠀⠀⠀⠀⡇ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢷⠸⣷⣪⠴⡠⢌⡰⢀⠂⡄⢂⠐⣈⢖⣿⣿⣿⡿⣿⢿⣿⡀⠀⠀⠀⠀⠀⠀⠉⠻⢿⣿⣿⣿⣿⣿⣿⠟⢉⣼⢧⡓⡾⣥⢻⡜⣧⢚⣬⢛⡴⣫⡽⣦⣽⣽⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠿⣿⣿⣿⣿⣿⡿⡟⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⢾⠃⠀⠀⠀⠀⡇ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⡶⣷⣭⢳⡝⣧⢞⣥⣓⡌⢦⡜⣼⣿⣿⣿⣿⢟⡞⣿⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠁⠀⣴⣟⢣⢖⣹⢳⡭⢷⣹⣎⢿⣬⣟⣾⣿⣿⣿⣿⣿⢿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⡿⠀⠂⠀⠀⠐⡇ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣇⢻⣾⢯⡾⣵⢯⣞⣳⡿⣿⣿⣿⣿⡿⣟⢧⡻⣼⣻⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⢱⢊⡎⣖⢫⠞⣭⢳⢞⡻⣞⢯⣟⡳⣝⢮⣳⣯⢿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢢⠀⢻⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⠏⢀⠞⠀⠀⠀⠂⡇ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢼⣘⣿⣿⡿⣟⣿⣾⣿⣽⣿⡟⣯⠳⡽⣘⣮⣷⢯⡷⣻⣯⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⢈⠖⡸⢌⡹⢎⡵⣋⠮⣕⢮⡳⣬⣳⣽⡾⣿⣜⣻⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠳⣄⠹⣧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡼⠋⣰⠋⠀⠀⠀⠀⡡⡇ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⣿⣞⣟⢯⡟⢾⡱⢏⠶⣙⢦⡻⡵⣯⢶⣻⢾⡱⣗⡿⣿⣿⡀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣷⡏⡸⣁⠎⡔⡫⢴⡙⡾⣜⢧⣛⣶⣟⣷⣛⣾⢮⣽⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢦⡈⠻⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡴⠟⢁⡴⠁⠀⢀⠐⠀⢁⡐⡇ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⢻⡾⣭⣷⢫⣧⡝⣮⢻⣜⣧⢿⣽⣯⡿⣽⡞⣽⢮⣽⣻⣿⡇⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣽⡧⣝⠲⣥⢚⡴⣙⢦⡻⣵⣻⣞⣯⢷⣻⢞⡧⢿⣎⢿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢄⡈⠛⠷⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⠞⠋⢀⠔⠉⡀⠄⠁⡀⠠⢈⠠⠐⡇ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⡆⢿⡳⣞⣻⢖⡿⣭⢷⣻⣞⣿⣾⣻⣽⢷⡻⣝⢾⡳⣝⡞⣿⡦⢤⣀⡀⠀⠀⠀⠀⠀⠀⠀⣿⠷⣌⠳⣌⠷⣚⢽⡺⣽⣳⢟⡾⣽⢫⠗⣯⠚⡽⢠⢿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠒⢤⡀⠙⠓⠦⣄⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣤⡴⠞⠋⣁⡤⠞⢁⡐⢂⠐⣈⠰⢀⢁⠂⢄⠃⡇ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣄⢻⣵⣫⡞⣵⢫⡗⣿⢾⣽⡿⣯⣟⣷⡹⢮⡳⡝⢦⡙⣾⣧⠀⣈⣉⠛⠛⠛⠓⠒⠐⠂⣿⡟⡬⠓⡌⢂⡉⠆⡙⠦⡙⢎⠱⠌⠣⠘⡠⢉⠄⢣⣾⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠒⠤⣄⣈⡉⠛⠛⠛⠛⠛⠛⠛⠛⢋⣉⣠⡤⠖⢋⠡⡐⠌⢂⠐⡠⢘⠠⡐⡈⠤⢈⠢⡘⡇ ⠀⠀⢀⡤⠒⠒⠒⠒⢒⣒⢢⠤⣀⠀⠀⠀⠀⠀⠀⠘⣆⢹⡿⣿⡼⢧⣻⢞⡽⣺⡽⣷⢻⠶⣹⢃⠳⢌⠢⡑⢮⢿⣇⠠⠉⠉⠛⠙⠲⠄⠀⢠⣿⡜⠴⣉⠐⢠⠐⠰⠐⡐⡀⢂⠂⠌⡠⢁⠒⡀⠎⣼⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠉⠉⠉⠙⠋⠉⡈⠠⢐⡈⠄⢃⠰⠈⢆⠑⡰⢀⠒⡠⢁⠆⡡⢂⡕⡇ ⢠⣼⡏⠀⠋⠀⠀⠀⠀⠉⠈⡍⠢⡍⠢⢄⠀⠀⠀⠀⠘⣆⢻⣳⢹⣋⠾⣙⠾⣱⢛⠬⢣⡙⢤⠋⡔⢊⠔⢡⢊⡞⣿⡆⠠⢁⠂⠄⡀⢈⡇⠸⣿⢨⠑⡄⠃⠄⡘⠠⢁⡐⠄⡂⠌⠒⡀⠆⡱⠐⡌⢼⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠠⢀⠡⢀⢁⠢⡐⣉⠢⢡⠉⡔⢨⠐⡌⢢⠁⠎⠤⡑⢢⠜⡇ ⢹⡌⢡⠀⠀⠀⠀⠀⠀⠀⠀⠀⠡⢉⡷⣤⡑⢄⡀⠀⠀⠘⣦⡿⣧⠜⣢⠁⢎⡀⢃⠎⡡⠜⢢⡉⠦⡁⢎⡐⢢⡘⡽⣿⡅⢠⠂⠠⠀⢸⠁⣸⡇⢎⠰⢈⡐⠐⢀⠁⠄⡐⢀⠆⡁⠊⠄⡃⠔⡡⢘⢺⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠀⠐⢀⠂⡐⢂⠂⡅⢢⠘⡄⢃⠌⢢⢁⠒⠤⢉⠢⡑⠌⣆⢻⡇ ⣸⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⢛⣯⣿⣳⣝⢢⡀⠀⠘⣦⢹⣯⢔⡩⢄⠘⡄⢊⠔⡉⠆⡜⢠⠑⢢⠘⢄⠒⣍⢻⣷⡈⢠⣐⡀⡾⢀⣿⡑⠨⡐⢀⠐⠈⢀⠐⠠⠐⢂⡐⠠⢉⠂⡘⠤⡑⣈⢻⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠌⠐⢀⠂⠔⡠⢊⡐⠢⢡⠘⡄⢊⠔⡨⠘⡄⢃⢆⡱⢊⡴⢫⡇ ⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⢣⢿⣿⣷⢧⡏⣖⢙⢆⠀⠈⣆⢻⣎⠶⣈⠆⡘⢄⠊⡜⠰⡈⢆⡉⢆⡘⠄⢣⠘⠬⣿⢿⣤⣀⣀⣦⣾⡟⠄⠁⠀⠂⠐⠀⠄⡀⠃⠌⡠⢀⠃⢄⠃⡘⠤⡑⠤⢩⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠈⠠⢈⠠⠘⣀⠒⢠⢂⡑⠢⢡⠘⡄⢊⠔⡡⢘⠢⡜⡰⢣⠞⡽⡇ ⣽⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡐⢤⣛⣾⣿⣿⣷⣹⢬⢳⣤⡣⡀⠸⡜⣿⢲⢡⢚⡰⢈⠒⡌⠱⡈⢆⡘⠤⡘⡈⢆⡉⢒⠬⡛⠿⣿⢿⡿⠟⡐⠀⠀⠀⠁⠀⡐⠠⡐⢌⡐⢄⠡⠌⡄⢢⢑⢢⠱⣌⠒⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⢈⠐⠠⢀⢃⠰⢈⠂⢆⡘⠄⠣⢌⠰⡁⢎⡐⢣⠱⢬⡱⢣⡿⣡⠃ ⣾⢶⣆⡀⠀⠀⡀⢄⠠⣐⠰⣘⣦⣿⣿⣿⣿⣿⣧⣏⢧⡚⣿⣵⣾⣿⣿⣧⢋⠖⡰⡁⢎⠰⢡⠘⠤⣈⠒⢤⠑⡢⢘⠢⡑⠌⡑⠘⠂⠐⠀⠀⠀⠀⠀⠀⠀⠀⠐⠐⠢⠜⡂⢇⠚⡔⢣⠎⢧⠓⠦⠉⠼⣷⣠⣤⣠⣀⣠⣀⣄⣀⣀⣀⣀⣀⣀⣄⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠠⠈⠐⡀⢂⠒⡈⡘⢠⢂⢉⠒⡌⢢⠑⡢⢜⡡⢋⣶⣹⠻⣴⠁⠐ ⠈⢦⠿⣷⣯⣷⣾⣭⣷⣾⣷⣿⣿⣿⣿⣿⣿⣿⣷⣻⢦⡝⡬⢿⡿⣿⡾⢿⣌⢯⠰⣁⠎⡰⢁⠎⢲⠡⢋⠆⠃⠐⠁⢀⡐⠈⠄⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠈⠀⠊⠀⠑⠀⠑⠨⠽⣿⣟⡿⣻⢟⡿⣻⢟⡿⣻⢟⣿⡻⣟⡿⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠈⢀⢈⠐⣀⢂⠢⠑⡈⠆⡌⢢⠘⡄⣃⢎⡑⢎⡴⢏⣾⢃⠞⠁⠀⠀ ⠀⠀⠳⣜⣿⣿⣟⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡳⣯⠞⡰⢋⣿⡬⢿⢸⣏⣎⠳⢄⠊⡄⠃⠘⠀⠑⠂⠀⡀⢀⠐⠄⠀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⡀⠐⠀⡃⢿⣿⣼⣳⢯⡾⣝⣯⢾⣝⣯⢶⣻⡽⣽⣿⣿⡇⢰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢀⠐⡀⠂⢌⢀⠢⠌⡑⠌⡒⢌⠢⢱⠘⡔⢪⡜⢮⣴⠿⡠⠋⠀⠀⠀⠀ ⠀⠀⠀⠈⢏⡿⣮⣽⡹⢯⣟⣿⣿⣿⣿⣿⣿⣻⢷⡹⢆⠍⡰⢁⡞⢿⣧⣼⡿⣭⠳⡈⠄⢀⠐⠀⣀⠤⠐⢄⠡⠁⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠀⠐⠠⠹⣌⣿⠿⠷⠿⠿⠿⠾⠿⠾⠿⠿⠷⠿⠿⠟⠋⣠⠃⠀⠀⠀⠀⠀⠀⢀⠀⡁⢈⠠⠐⠠⠉⠄⠢⡈⢆⠡⢊⠔⠬⣘⢡⢋⡜⣣⣼⠟⢁⠞⠁⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠑⢍⢷⣏⢷⡺⡽⢯⠿⣽⢳⡽⢎⠇⡓⢌⢢⡑⢎⡜⣩⠾⣿⠻⢧⠓⠐⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠰⢡⢒⡿⣶⡀⠀⠀⠀⠀⠀⠀⠀⠐⠒⠒⠒⠚⠉⠁⠀⠀⠀⠀⠀⡀⠈⢀⠠⠐⡀⢂⢉⡐⠉⡌⠰⣁⠢⡑⢌⡘⢦⡑⣎⢳⣼⣿⢁⡴⠃⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠈⠳⡘⢧⢓⠭⢫⠝⢎⠳⠌⡌⢒⠡⣊⠤⡙⢢⠑⠥⠺⡧⠙⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⣁⠎⣏⡷⢩⠿⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⠈⠀⠄⡁⢂⠰⠠⢐⠨⢠⠈⠥⡐⢡⢄⠣⢜⢢⡙⢦⣱⣾⠿⢁⡴⡏⠁⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠈⠲⡙⣬⠡⢈⠐⠌⠒⢌⠢⡑⢢⠱⢌⠣⡘⢌⠣⠕⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⣢⠟⡴⢑⠊⡜⣹⢦⣀⠀⠀⠄⠀⠀⡀⠄⠀⠄⠠⠀⠌⠀⡈⠠⢈⠐⡀⠆⠰⢁⠊⡰⢁⠎⡰⠑⡌⢦⡙⣬⠲⣽⣶⠟⣥⣞⡏⣁⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠱⣗⢯⣐⡈⠄⡁⢢⠑⡌⡱⢊⠬⡑⢌⠢⠍⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡸⢣⡘⢄⠣⡘⡐⠤⢉⠻⢷⣄⠀⡀⢁⠀⠠⢀⠂⡁⠰⢀⠡⠐⠠⢁⠢⡐⢌⠢⡁⢎⠰⡁⠎⡴⢩⠜⣦⡙⢦⢿⣟⣁⣠⡥⠵⠂⠄⡀⠈⠛⡍⠩⣒⢄⡀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⡄⠻⣖⢢⠘⡄⢎⠴⣡⢋⠖⡩⠜⣌⠡⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⡐⠊⡄⠂⠅⡐⠌⢠⠁⠔⡈⠄⡘⠠⢛⣷⡀⠂⡅⢂⠂⡐⠄⢃⠌⡂⢍⠢⡁⢆⠱⡈⢆⠱⢌⠆⡙⠬⡑⢃⠎⠤⠉⠂⠂⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠑⢄⠑⣮⠢⡄ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⡆⠋⡞⠳⢜⡊⢖⡥⢎⣣⠓⡭⢀⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢌⠠⡁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠌⢄⠡⢀⠃⠀⠁⠠⠐⠈⠀⠀⠀⠀⠀⠀⠀⠡⡘⢻⣧⢀⠡⢊⠔⡈⢆⡘⠰⣈⠔⣡⢊⠴⡑⣊⠑⠊⠠⠁⠂⠈⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⢷⡇ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⡧⢻⡔⠈⡘⠲⡘⠇⢎⠱⢂⢇⠘⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⢈⠢⡑⠤⠁⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⡠⢁⠎⠌⢂⠁⠀⠀⠀⠀⠀⠀⠂⠈⠀⠀⠀⠀⠀⠀⠀⠁⠢⡙⢿⣆⠡⢊⠔⡢⢌⡱⢂⡞⢤⢋⠖⡑⠀⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢯⡇ ⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⣷⠀⠀⠑⠌⡘⢠⠃⠁⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢌⢲⣉⠦⠁⠄⠀⠀⠀⠀⠀⠀⢀⠠⢌⠢⡑⠌⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠑⡈⢇⠱⣃⢎⡱⢪⡔⣫⠜⣎⠱⢊⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢲⡇ ⢸⡈⡉⠒⡤⣄⡀⠀⠀⠀⠀⠀⠀⠀⣸⢀⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡩⢄⡳⢌⠂⠡⠀⠀⠀⠀⠀⡀⢌⢢⠱⣈⠂⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⢀⠐⡈⢄⠒⡌⢶⡩⢷⡹⣆⠫⠔⡩⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⢈⠟⡇ ⢸⡕⠣⡜⣩⡂⣌⣭⢖⡢⠤⢄⣀⡴⢋⣼⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢆⡱⢊⡔⠂⠄⠀⠀⠀⠀⡀⠒⡌⡐⠢⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠀⠀⠀⢂⡘⣘⢦⡛⢧⠓⡌⢂⠣⡐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠰⡰⣜⡞⠀ ⣸⠜⡱⡸⢔⡹⣇⠖⡋⢟⠳⢶⠲⣟⠫⠁⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠑⢪⠔⡃⠰⠡⢈⠐⠄⡨⢁⠌⡡⠒⠀⠀⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⡌⠦⡙⢢⠑⠄⢂⠡⠄⡁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠠⢎⣭⡾⡿⠋⠀⠀ ⣸⢍⡱⠱⣎⡗⢮⠜⡰⢈⠄⡃⢡⠀⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠢⡉⠆⡈⠄⠡⢃⠌⠌⢂⠔⠨⠀⠀⠀⠀⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠱⢌⡱⢌⡅⠎⡐⠀⠂⠔⠠⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠈⡰⡠⢿⣨⣷⣺⠝⠋⠀⠀⠀⠀ ⣸⢎⡵⣋⢶⡻⣍⠲⢠⠁⢂⡐⠠⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠒⢄⠢⠁⠀⠀⢈⠁⠎⡌⠌⡐⠀⠀⠀⠀⠀⠠⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢆⡣⢜⢢⠡⡉⢌⠰⢁⡐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⣂⠡⢮⡽⡽⢻⡿⠞⠁⠀⠀⠀⠀⠀⠀ ⣸⢯⣖⣯⣟⡷⣍⡓⢢⠉⡄⠤⢀⠡⠈⠔⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢈⠰⡈⠄⠂⠀⠀⠀⡀⠎⡰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠌⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢄⠳⡌⢆⡓⢌⠢⡑⢢⢐⡡⢂⠀⠀⠀⠀⠀⠀⠀⠠⢀⠂⡴⣈⢼⣭⡿⣟⡿⠏⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣸⣟⡾⣳⢏⡾⣡⠝⢢⡑⡐⢢⠡⢌⠩⢌⡑⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⢣⡘⢆⠑⠀⠀⠀⠀⠔⠠⠃⡄⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⡌⢒⡍⠶⣉⢆⡳⡘⡔⢪⢔⡡⢂⡐⠀⡀⠠⣈⣐⣡⡮⢗⣴⣿⢟⡿⠞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⢯⡳⡍⢞⡰⡑⢎⡱⢢⢍⢢⡑⡌⢎⡔⠢⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⡘⡌⢆⠱⠈⠀⠀⠀⠠⠈⠄⠡⢁⠀⠀⠀⠀⠀⠀⠀⠀⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠡⠈⠔⣈⠳⣍⢮⡵⣹⢞⡵⣎⡳⣧⢼⣒⣟⣙⣯⣭⣿⠿⣻⡧⠞⣃⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⠀⠤⠤⠤⠤⠄⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⡠⠐⢈⡠⠄⠀⠀⠀⠀⠀⠂⠀⠀⡁⠒⠄⡀⠀⠀⠀⠀⠀ ⠀⠀⠀⢀⠔⢉⠴⠊⠀⠀⠀⠀⠀⠀⠀⠀⣀⣠⣤⣌⡑⠠⡈⠢⡀⠀⠀⠀ ⠀⠀⡠⠃⡴⠃⣤⠶⠶⣤⣄⣀⠀⠀⡠⠛⠉⠉⠉⠉⠓⢄⠈⠢⠈⢂⠀⠀ ⠀⡰⠀⡎⠀⠀⠁⢀⡴⠦⡀⠀⠀⡜⠀⠀⢀⣀⠀⠀⠀⠀⢳⣀⠁⡀⢣⠀ ⢠⠁⠀⠀⠀⠀⠀⠸⣔⣴⠃⠀⠀⠁⠀⢰⠁⠀⡆⠀⠀⠀⠈⡿⣄⠐⠀⡆ ⡄⠀⠀⠀⠀⠀⠀⠀⠉⠁⠀⠀⠈⢷⡄⠈⠢⠘⠀⠀⠀⠀⡼⠟⠙⣆⠀⢸ ⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⢄⡀⠀⠀⢀⡠⠞⠁⠀⠀⢹⠀⢸ ⢃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠁⠀⠀⠀⠀⠀⣸⠀⡸ ⠘⡀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠉⠉⠙⠒⠄⠀⠀⠀⠀⠀⠀⠀⠀⡟⢀⠇ ⠀⠱⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡇⡜⠀ ⠀⠀⠑⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡏⠀⠀ ⠀⠀⠀⠈⠢⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠔⠉⡇⠀⠀ ⠀⠀⠀⠀⠀⠀⠑⠠⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⠤⠊⠁⠀⠀⢹⡀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠀⠒⠒⠒⠒⠂⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⢀⡀⠀⠀⠀⠀⠀⠀⣾⡳⣼⣆⠀⠀⢹⡄⠹⣷⣄⢠⠇⠻⣷⣶⢀⣸⣿⡾⡏⠀⠰⣿⣰⠏⠀⣀⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡀⣀⣀⣀⡹⣟⡪⢟⣷⠦⠬⣿⣦⣌⡙⠿⡆⠻⡌⠿⣦⣿⣿⣿⣿⣦⣿⡿⠟⠚⠉⠀⠉⠳⣄⡀⠀⠀⠁⠀ ⠀⠀⠀⠀⠀⠀⠀⡀⢀⣼⣟⠛⠛⠙⠛⠉⠻⢶⣮⢿⣯⡙⢶⡌⠲⢤⡑⠀⠈⠛⠟⢿⣿⠛⣿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣆⠀⠀⠀ ⠀⠀⠀⠀⠀⡸⠯⣙⠛⢉⣉⣙⣿⣿⡳⢶⣦⣝⢿⣆⠉⠻⣄⠈⢆⢵⡈⠀⠀⢰⡆⠀⣼⠓⠀⠀⠀ Nah ⠀⠀⠈⣷⠀⠀ ⠀⠀⠀⠖⠉⠻⣟⡿⣿⣭⢽⣽⣶⣈⢛⣾⣿⣧⠀⠙⠓⠀⠑⢦⡀⠹⣧⢂⠀⣿⡇⢀⣿⠺⠇⠀ ⠀I'd⠀ ⠀⣿⠀⠀ ⠀⠀⠀⠀⠐⠈⠉⢛⣿⣿⣶⣤⣈⠉⣰⣗⡈⢛⣇⠀⣵⡀⠀⠘⣿⡄⢻⣤⠀⢻⡇⣼⣧⣿⠀ Queef on this site⠀⡿⠀⠀ ⠀⠀⠀⠀⠀⣠⣾⣿⢍⡉⠛⠻⣷⡆⠨⣿⣭⣤⣍⠀⢹⣷⡀⠀⠹⣿⡄⠈⠀⢿⠁⣿⣿⠏⠀⠀⠀ ⠀⠀⠀⣇⠀⠀ ⠀⣿⣇⣠⣾⣿⣛⣲⣿⠛⠀⠀⢀⣸⣿⣿⣟⣮⡻⣷⣤⡙⢟⡀⠀⠙⢧⠀⠀⠎⠀⠉⠁⠰⣿⠀⠀ ⠀⢀⡿⠀⠀ ⠀⠈⢻⣿⣿⣽⣿⣿⣿⣴⡏⠚⢛⣈⣍⠛⠛⠿⢦⣌⢙⠻⡆⠁⠀⠀⠀⣴⣦⠀⠀⠀⠐⢳⢻⣦⣀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠮⠀⠀⠀ ⠀⠀⠈⠙⣿⣧⣶⣿⠿⣧⣴⣿⢻⡉⠀⢀⣠⣴⣾⡟⠿⠃⠁⣠⣤⡶⣾⡟⠅⠀⣀⡄⠀⣾⢸⣿⣏⢻⢶⣦⣤⣤⣄⢶⣾⣿⣡⣤⡄⠀ ⠀⠀⣠⣞⣋⣿⣿⣾⣿⡿⡛⣹⡟⣤⢰⡿⠟⠉⣀⣀⣤⣤⡠⠙⢁⣾⡿⠂⠀⣿⠟⣁⠀⣹⠀⣹⣿⡟⣼⣿⣿⣌⣿⣞⣿⣿⠁⠀⠀⠀ ⠀⢠⡿⢛⢟⣿⣿⣿⣿⣿⣿⡟⣼⣿⣟⢓⠛⣿⣏⣿⣵⣗⣵⣴⣿⢟⡵⣣⣼⣿⢟⣵⣶⢻⣶⣿⠀⠀⣈⢻⣿⣿⣿⢿⣾⢿⣧⠀⠀⠀ ⠀⠘⠃⢸⣿⡾⣿⣿⣿⣿⣯⣿⣿⣿⣶⣿⣿⣟⣾⡿⣫⣿⣿⣿⣽⣿⣿⣿⣿⢫⣾⣿⣿⣿⣿⣿⣴⡆⣻⣿⡏⣿⢻⣧⣿⡿⣿⡆⠀⠀ ⠀⠀⠀⠜⣿⣾⢿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣭⣿⣖⣿⢿⣿⡿⣿⣿⣿⡿⢡⢯⣿⣿⣿⣿⣿⣿⣿⣧⡿⣾⣷⣿⣿⢿⣿⡇⠉⠁⠀⠀ ⠀⠀⠀⠀⣿⣥⣾⣿⣿⣿⣿⣿⣿⣿⡇⣭⣿⣿⣿⣿⠃⠞⠟⣸⣿⠏⣸⣧⣀⠿⢿⣿⣿⣟⣿⣿⣿⣿⣽⣿⢿⣿⣿⣿⣿⠁⠀⠀⠀⠀ ⠀⠀⠀⠈⠛⣹⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣟⣿⣿⡿⢶⣦⣄⣿⠏⠀⣿⣟⣿⣶⠾⣿⣟⣋⣛⣿⣿⣿⣿⡇⣻⣿⣿⣿⡏⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠟⠛⠫⣿⣿⣿⣿⣿⡿⣧⠛⣿⠛⣿⣿⣿⣷⡌⠹⡟⠀⠀⠉⡟⠋⢠⣾⣿⣿⣿⡟⣿⣿⣿⣿⢀⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠘⠋⣾⣷⣿⣿⣧⠙⠀⠙⢣⠝⠛⠋⣽⣷⢦⠇⠀⠀⠘⠁⣤⣾⣿⠝⠛⠉⠘⢻⣿⣿⢿⣼⣷⡟⢻⣷⠉⠀⡀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠐⠟⢻⣿⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀⠉⠀⠀⠀⠀⠀⠀⠈⠛⠀⠀⠀⠀⠀⣾⠟⠀⢸⣷⣿⡇⠀⠛⠀⠀⠁⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⠁⠀⢹⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⡧⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠆⠀⠀⠀⠀⠀⠀⠈⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⢻⡿⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣇⠀⠀⠀⠀⠀⠀⠀⠀⠲⣄⠀⡄⠆⠀⠀⠀⠀⠀⠀⠀⠀⣼⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⣀⠀⠀⣠⣾⣿⠁⠀⠀⠀⠀⠀⣀⡄⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⢻⣆⠀⠛⠁⠶⣶⣶⣶⣶⣶⣶⡶⠆⠘⠋⣠⡾⢫⣾⡟⠀⠀⠀⠀⠀⠐⠉⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠛⠀⠙⣷⡀⠀⠀⠙⠛⠛⠛⠛⠋⠁⠀⢀⣴⠋⠀⣾⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣿⣰⣦⡀⠸⣿⣦⡀⠀⠀⠀⠀⠀⠀⢀⣴⡟⠁⠀⠐⢻⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣴⣾⣿⣿⣿⡄⢺⣿⡄⠹⣿⠻⢦⣤⣤⣤⣤⣶⣿⡟⢀⣀⠀⠀⢸⣿⣦⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⣠⣴⣾⣿⣿⣿⣿⣿⣿⣿⣿⣮⣿⣿⡀⠹⡷⣦⣀⡀⡀⢸⣿⠏⢠⣾⣿⠀⠀⣾⣿⣿⣿⣿⣶⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀ ⣀⣤⣴⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠘⣷⣻⡟⠀⡼⠁⣴⣿⣿⣯⣥⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣤⣀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣯⣿⣤⣤⣤⣬⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣤⣄ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣤⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣤⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣤⣶⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⣿⣿⣿⣶⣦⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇ ⠀⠈⢿⣿⣿⠛⠛⠛⠛⠛⠛⠛⢛⣛⡛⠛⠛⠛⠛⠛⠛⠛⣿⣿⣿⣿⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⣿⣿⡟⠁⠀ ⠀⠀⢸⣿⣿⡀⠀⡔⠉⠀⡴⢏⠉⣠⠿⡟⢦⡀⠀⠀⠀⢸⣿⣿⣿⣿⡄⠀⢀⡖⠉⠹⣿⣷⣄⠀⠑⢄⠀⠀⠀⠀⢠⣿⣿⠇⠀⠀ ⠀⠀⠈⣿⣿⡇⠀⣇⠀⣰⠃⢸⡞⢁⣼⣿⠀⢳⠀⠀⠀⣿⣿⣿⣿⣿⣧⠀⠘⣆⠀⣰⠇⣿⡎⢳⣄⠀⢣⠀⠀⠀⣸⣿⣿⠀⠀⠀ ⠀⠀⠀⢻⣿⣿⠀⠈⠀⣿⡶⠋⣴⡟⠁⣿⣓⡾⠀⠀⢸⣿⣿⣿⣿⣿⣿⡄⠀⠈⣿⣥⣴⡟⣿⡀⠙⢦⡾⠀⠀⢀⣿⣿⡏⠀⠀⠀ ⠀⠀⠀⠘⣿⣿⣧⡀⠀⠈⠳⣾⣿⣿⣶⡿⠟⠁⠀⣠⣿⣿⣿⠿⠿⣿⣿⣷⡀⠀⠈⠻⣿⣿⣿⣿⡦⠞⠀⠀⢀⣼⣿⣿⠁⠀⠀⠀ ⠀⠀⠀⠀⠈⣿⣿⣿⣦⣄⣀⣀⣈⣉⣉⣀⣀⣤⣾⣿⣿⠟⠁⠀⠀⠙⢿⣿⣿⣦⣄⣀⣈⣉⣉⣁⣀⣀⣤⣴⣿⣿⠟⠁⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢅⠉⠻⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠟⠁⠀⠀⠀⠀⠀⠀⠙⠻⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠟⡇⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢸⠀⠀⠀⡄⠀⠈⠉⢉⡉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠉⠁⠈⠀⠀⢀⠇⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠈⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠃⠀⠀⠀⠀⠀⠀⡼⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠘⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⡏⠉⠁⠀⠈⠁⠈⠁⢹⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⡰⠃⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠙⣄⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⢧⡀⠀⠀⠀⠀⠀⠀⣸⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⡰⠁⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠈⢢⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠓⠒⠒⠒⠒⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⢀⠞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠔⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠓⢤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠴⠊⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠤⠂⣨⠗⠦⣤⣀⣀⠀⠀⠀⠀⢀⣀⣠⢖⣴⣯⡅⠀⠀⠐⠠⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠷⠠⠭⠶⠀⠨⠩⠿⠿⠿⠛⢻⠟⢋⠴⠿⠟⠛⠥⠀⠀⠀⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
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⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⣀⣀⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⡤⠾⠞⠛⠉⠉⠁⠁⠀⠀⠀⠈⠉⠉⠛⠓⠶⢤⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡶⠞⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠳⢦⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⠞⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠳⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢀⡴⠋⠀⠀⠀⠀⣀⣠⣴⣶⣶⣶⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣶⣶⣶⣤⣄⣀⠀⠀⠀⠀⠙⢦⡀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣰⠟⠀⠀⠀⣀⣴⣿⣿⣿⣿⣿⠿⠿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⠿⠿⣿⣿⣿⣿⣿⣦⣀⠀⠀⠀⠹⣦⠀⠀⠀⠀⠀ ⠀⠀⠀⢀⣼⠋⠀⠀⣠⣾⣿⣿⣿⠟⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠻⣿⣿⣿⣷⣄⠀⠀⠘⢷⡀⠀⠀⠀ ⠀⠀⢀⡾⠁⠀⠀⢰⣿⣿⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣿⣿⣿⡦⠀⠀⠈⢳⡀⠀⠀ ⠀⠀⣾⠁⠀⠀⠀⠈⠙⠋⠁⠀⣠⠴⠒⠒⠒⠒⠲⢤⣀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡤⠖⠒⠒⠒⠒⠦⣄⠀⠈⠙⠋⠁⠀⠀⠀⠈⢷⠀⠀ ⠀⣸⠇⠀⠀⠀⠀⠀⠀⠀⡰⠋⠀⠀⠀⠀⠀⠀⠀⠀⠈⠳⣄⠀⠀⠀⠀⣠⠞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠙⢦⠀⠀⠀⠀⠀⠀⠀⠘⣇⠀ ⠀⣿⠀⠀⠀⠀⠀⠀⠀⡼⠁⠀⠀⢀⣤⣶⣶⣶⣄⠀⠀⠀⠘⡆⠀⠀⢰⠃⠀⠀⠀⣠⣶⣶⣶⣤⡀⠀⠀⠈⢧⠀⠀⠀⠀⠀⠀⠀⢿⡀ ⢸⡏⠀⠀⠀⠀⠀⠀⢠⡇⠀⠀⠀⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⢹⠀⠀⣏⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⠀⠀⠀⠘⡆⠀⠀⠀⠀⠀⠀⢸⡇ ⢸⡇⠀⠀⠀⠀⠀⠀⠘⡅⠀⠀⠀⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀⣸⠀⠀⣇⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⠃⠀⠀⢠⠃⠀⠀⠀⠀⠀⠀⠈⡇ ⢸⡇⠀⠀⠀⢀⣤⣶⣿⣷⡀⠀⠀⠈⠛⠿⠿⠿⠋⠀⠀⠀⢠⠇⠀⠀⠸⡄⠀⠀⠀⠙⠿⠿⠿⠟⠃⠀⠀⢀⣾⣿⣶⣤⡀⠀⠀⠀⢀⡧ ⢸⡇⠀⠀⣰⣿⣿⣿⣿⣿⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⢀⡴⠋⠀⠀⠀⠀⠘⢦⡀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⣿⣿⣿⣿⣿⣆⠀⠀⢸⡇ ⠀⣷⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣤⣤⣤⠤⠴⠚⠉⠀⠀⠀⠀⠀⠀⠀⠀⠉⠓⠦⠤⣤⣤⣤⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⠀⣾⠆ ⠀⢹⡆⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⢠⡏⠀ ⠀⠀⢷⡘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢃⡾⠀⠀ ⠀⠀⠈⢷⡘⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢃⡾⠁⠀⠀ ⠀⠀⠀⠈⢻⡄⠉⠛⠿⠿⠿⠿⠟⠋⠁⠀⠀⠀⢀⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⡀⠀⠀⠀⠈⠙⠻⠿⠿⠿⠟⠛⠉⢠⡾⠁⠀⠀⠀ ⠀⠀⠀⠀⠀⠙⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⠟⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠈⠳⣆⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⠞⠁⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⢦⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡴⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠳⢦⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⡴⠞⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠳⢶⣤⣤⣀⣀⣀⡀⠀⠀⣀⣀⣀⣀⣤⣴⡶⠞⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠉⠉⠉⠉⠉⠉⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
🍑𓂸🥜 🅽🆄🆃🆂
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⠁⢀⠉⠛⠻⠛⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠿⠋⠀⠀⠭⠍⣴⠟⣸⣿⠋⣉⣠⣀⣀⠁⠀⠀⠀⠀⠞⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣁⠀⠀⠀⠀⠀⠀⢨⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣿⣿⣿⣿⣿⣿⣿⣿⣟⢁⠀⠀⠀⢸⣷⣆⣞⠁⣼⠟⠀⠀⠛⢁⠈⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣷⣶⣾⣿⣆⣀⣾⣍⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣃⠉⠛⢿⣿⣿⣿⣿⣿⣿⠿⠿⠀⡄⣰⣿⣠⠉⠈⣾⡏⣦⢠⣀⣾⣿⠁⠉⠀⠸⡀⠀⠀⠀⢰⠟⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⠀⠈⣿⣿⣿⣻⣿⣿⠀⠀⢠⣼⣿⡟⠩⢀⣾⣧⣤⣿⣿⣿⣿⡇⢆⣤⠶⠿⢿⣯⣑⣰⡟⠒⠃⡴⢀⡄⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⠇⠀⠀⠀⢠⣿⣿⣯⣿⣿⣇⣼⡏⣿⡏⠀⣤⠸⢃⣿⣿⢺⣿⣿⣫⡾⠋⠀⠀⠀⣾⣿⣼⡏⠠⠀⡞⢡⠟⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠻⣼⣿⣿⣿⣿⣿⣿⣯⣤⡄⣫⣄⣾⣿⣏⣼⣿⣿⡿⠃⠀⠀⠀⠀⢻⣿⣅⠂⢀⡘⣡⠯⣤⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⢷⡀⠀⠀⠀⠙⠋⠙⠋⠉⠛⠛⠻⠻⠿⢿⣿⣿⣿⣿⣥⣾⡟⠁⠀⠀⠀⠀⠀⢸⣟⢻⣶⣌⡼⠃⢠⡀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣈⠛⠀⠀⠀⢠⡰⠿⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⣿⣿⣿⠀⠀⠦⢭⣳⠄⢠⣿⣿⣧⣰⠟⢻⣶⣔⠒⠧⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⢯⡹⠦⡀⠤⣌⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠻⣿⣿⣿⣿⡟⠒⠀⢉⣞⣾⡿⠃⣰⢏⠀⠀⠀⡈⠿⣦⣠⣤⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠃⠀⠀⠘⣷⣾⣿⣿⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣘⣿⣿⣿⣷⣤⣀⠀⠺⡟⢰⡶⠅⠚⣻⠄⡀⠀⠘⠛⣰⣥⣤⣀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀⠀⠸⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⢀⣴⣿⣿⣿⣿⣿⣿⣿⣿⡀⢀⣼⣷⣼⣧⣶⣄⣙⡀⠀⣠⣴⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠉⠛⠛⠛⠛⠁⠀⠀⠀⡀⠀⠀⠸⣿⣿⣿⣿⣿⡟⣿⣿⣿⣿⣿⠟⠋⠉⠉⠉⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣉⣹⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⡀⠘⠛⠋⢷⡀⠀⠁⠀⠉⠉⠉⠀⠻⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠉⠛⣿⣿⣿⣿⣿⣿⣿ ⠉⠛⠻⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣿⠃⠀⢾⣿⠿⠃⠀⠀⠀⠀⠀⢄⠀⠀⠀⢿⣿⣿⠄⠀⠀⠀⠀⠀⠀⠀⠚⠛⠻⣿⣿⣿⣿ ⠀⠀⠀⠨⠽⢿⣿⣟⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⣠⣠⣀⣀⠒⢂⡉⣼⡄⣈⡁⠀⠀⠀⠀⠀⠀⠀⠈⢳⠀⠀⠀⢹⠟⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠛⣿⣿⣿ ⣀⠀⠀⠀⠀⠰⠈⠿⢌⡛⠛⢻⣿⣿⡟⣻⣿⣿⣿⡄⠀⠀⠀⠀⠀⠘⠿⠛⠛⠻⠿⠿⠿⠿⠿⢷⣦⣶⣾⣦⡀⠉⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⣿⣿ ⢛⣦⣄⠀⢀⠀⠀⣤⡀⠁⠠⣦⣙⢿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠚⢿ ⣿⣿⣿⣿⣾⡃⠀⠙⠛⣶⠀⢔⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢨ ⣿⣿⣿⣿⣿⣿⣿⣦⣀⡁⣶⣾⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐
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⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠖⠋⠉⠛⠛⠲⢄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⠃⠀⠀⠀⠀⠀⠀⠀⠱⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⢡⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⡤⠤⠤⠤⠤⠤⣜⡀⠀⠀⠀⠀⠀⠀⠀⠀⢘⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⡤⠚⠉⠀⠀⠀⠀⠀⠀⠀⠀⠉⠓⠦⣄⠀⠀⠀⠀⢠⠞⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢀⡔⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⢦⡙⢦⣠⠞⠁⣀⡠⠤⠒⠒⣲⣶⣒⠒⠒⠤⢄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⡴⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠲⣙⢖⠉⢀⣀⠤⢦⡾⠟⠋⠙⠷⠤⢄⣀⠈⠉⠒⢤⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⡼⠁⠀⠀⠀⠀⠀⠀⠀⠤⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣆⠁⠀⠀⠟⠀⠀⠀⠀⠀⠀⠀⠈⠉⠲⢤⣶⣾⣦⣀⠀⠀⠀⠀⠀ ⣸⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠲⢤⡀⠀⠀⠀⠀⠀⠀⠀⢻⡀⠀⠀⠀⣀⠤⠀⠀⠀⠀⠀⠀⠀⠀⠉⠀⠀⣿⣏⠳⡀⠀⠀⠀ ⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠓⢤⡀⠀⠀⠀⠀⠀⡇⠀⢀⡾⠋⠉⠉⠑⢄⠀⠀⠀⠀⠀⠀⠀⠀⠘⠃⠀⠙⢆⠀⠀ ⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢦⡈⠢⡄⠀⠀⡼⠁⠀⣸⠁⣤⣦⣤⡀⠈⡄⠀⠀⡠⠒⠉⠒⠦⡀⠀⠀⠀⠘⡆⠀ ⡇⠀⠀⠀⠀⠀⠀⠀⢤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢆⠈⢶⠚⠥⠤⣀⡇⢰⣧⣼⣿⣧⠀⡇⠀⢰⢡⡾⣿⣦⡀⠈⢦⠀⠀⠀⠸⡄ ⠸⡄⠀⠀⠀⠀⠀⠀⠀⠀⠉⠓⠢⢄⡀⠀⠀⠀⠀⠀⠀⠀⠁⢸⡆⠀⠀⠀⠉⠚⢿⣏⣿⠇⢀⠇⠀⠸⣾⣶⣾⣿⡇⠀⢸⠀⠀⠀⠀⢣ ⠀⢳⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣍⠢⣄⠀⠀⠀⠀⠀⠀⣸⠥⠖⠲⣤⡀⠀⠀⢫⡀⣠⠞⠀⠀⠀⢹⡿⣦⠿⠁⠀⡸⠀⠀⠀⠀⠘ ⠀⠀⠳⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠳⡈⢳⡀⠀⠀⣀⠔⠁⠀⠀⠀⠱⡌⠀⠀⠀⠏⠀⠀⠀⠀⠀⠀⠙⢤⡤⠖⠉⠉⠁⠀⠀⠀⠀ ⠀⠀⠀⠈⠳⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠀⡗⠒⠉⠁⠀⠀⠀⠀⠀⠀⣿⣶⢄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠋⠀⢀⣀⣀⠀⠀⠀⠀⢰ ⠀⠀⠀⠀⠀⠀⠙⠲⢄⣀⠀⠀⠀⠀⠀⠀⣔⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠋⣿⣆⠉⠓⠢⠤⣄⣀⣀⣀⣀⣀⣠⠼⠚⠁⠁⠀⠀⠀⡆ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠉⠉⠉⢷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣻⣿⣷⣄⡀⠀⠀⠀⢀⣼⡿⠋⠀⠀⠀⠀⠀⠀⢀⡼⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢧⠈⠻⣿⣿⣶⣾⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⡸⠁⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢣⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠳⣄⣀⣩⣿⣿⣿⠏⠀⠀⠀⠀⠀⠀⢀⡼⠁⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠛⠛⠋⠁⠀⠀⠀⠀⠀⢀⡴⠋⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠑⠢⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⠔⠋⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠒⠤⢄⣀⡀⠀⠀⠀⠀⠀⢀⣀⡤⠴⠒⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀
🩷 qui s'en soucie vraiment 💙 ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣤⣀⡀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣦⣀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦ ⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠛⢿⣿⣿⣿⣿⣿⣿⣿⣿ ⣷⡄⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠻⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⡀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠉⠻⣿⣿⣿⣿⣿ ⣿⣿⣇⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠉⠻⣿⣿ ⣿⣿⣿⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣋⣀⣤⣤⣶⣶⣦⠀⠀⠀⠀⢠⣴⡾⢿ ⣿⣿⣿⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⠟⢋⣥⣴⣶⢶⣦⡁⠀⠀⠀⢀⣴⣟⢶⣶ ⣿⣿⡿⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀⠀⠉⠛⠛⠛⠀⠈⠀⠀⠀⠀⋠⠛⠩⠤⠤ ⣿⣿⡇⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢻⣿⣿⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⣿⣿⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠚⠉⠞⠃⠀⠀ ⣾⣿⠁⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀ ⣿⡇⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠔⠒⠒⠚⠛⠛⠀⣼ ⣿⡇⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠴⠶⠖⠀⢰⣿ ⣿⣷⡀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⢷⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿ ⣿⣿⣷⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⠉⠻⠿⣶⣤⣀⡀⠀⠀⠀⠀⠀⠀⣠⣿⣿⣿ ⣿⣿⣿⡆⠀⠀⠀⠀⠀ ⠀⠀⠀⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠋⠀⠀⠀⠀⠀⠀⠀⠉⠛⣿⣿⣶⣶⣶⣾⣿⣿⣿⣿⣿ ⣿⣿⠟⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⠋⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠈⠛⠿⣿⣿⡿⠟⠋⠉⠉⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⡿⠟⠉ ⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣤⣤⣤⢤⡄⢀⣤⠀⠀⣠⣤⡄⢠⡄⣤⣤⣄⠠⣤⠀⠀⠀⠀⠙⠛⠛⠛⠛⠉⠁⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠘⣷⣼⠃⠀⠸⣏⡐⣶⢸⡇⣿⢤⣿⠸⣿⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠉⠀⠀⠈⠉⠀⠀⠀⠉⠉⠉⠈⠁⠉⠀⠉⠈⠉⠉⠁⠀⠀⠀⠀⠀ ▶︎ •၊၊||၊|။||||။‌‌‌‌‌၊|• 0:10 💗💙
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⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣠⡤⢶⡲⠛⠽⠯⠽⠯⠿⠹⢖⡶⢤⣄⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣀⣴⣟⠟⣋⣁⠄⡐⢀⠂⠄⠂⠄⡐⠠⠀⠄⣈⣙⡫⢿⣦⣀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣠⣞⠟⣣⡾⠛⣉⣉⡛⢶⡄⠌⢠⠉⡐⠠⢡⡾⢛⣩⣉⡛⢷⣝⠫⡗⣄⠀⠀⠀⠀⠀ ⠀⠀⠀⢠⡞⡇⡁⢦⣏⢰⡏⠉⣿⣿⡆⣻⡌⠀⢆⠠⣁⡿⢰⠋⠹⣿⣿⡄⣻⡤⢈⢫⠷⡄⠀⠀⠀ ⠀⠀⢠⢿⣸⢃⠸⢸⣇⠿⠧⠼⠿⣻⡧⢸⢃⠛⣀⠤⡘⡧⢼⣧⠼⠿⠻⠧⣸⡇⠜⣀⡿⡸⡄⠀⠀ ⠀⢠⡟⢦⡹⢌⡸⣔⢶⣲⡖⣦⠔⡠⢂⠍⡎⡘⡄⠦⡑⢍⠰⣀⠦⣴⢲⣶⣲⠬⡍⢆⢯⡱⣛⡄⠀ ⢠⡿⣘⢣⡜⢪⠴⡌⢎⡡⠜⡄⣊⠱⣈⠒⠤⡑⢌⠰⡁⢎⠰⡐⢢⠌⡱⠢⣅⠳⣌⠳⣌⠶⣡⠿⡀ ⣸⠵⡩⢊⡜⣡⠞⡘⣤⣵⣮⣶⡶⢃⠉⡍⢩⠉⠍⡩⢉⠍⢩⠐⢷⣾⣴⣵⣨⠱⡌⣧⢩⠘⢕⡚⣇ ⣟⠼⣁⠧⣊⣽⣾⣿⣿⣿⣿⣿⠃⠈⠀⠀⠀⠈⠀⠀⠀⠈⠀⠊⠘⣿⣿⣿⣿⣿⣷⣧⣣⢚⡌⣝⢺ ⣿⠸⣉⢯⡙⢿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⡿⡜⢫⡜⡌⣿ ⣷⡡⣏⠦⣙⠼⣿⣿⣿⣿⣿⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿⣿⣿⠧⡙⣥⢺⢄⣻ ⢱⣇⢸⢎⡱⣊⢽⣿⣿⣿⣿⣿⣿⣷⣤⣀⡀⠀⠀⠀⢀⣀⣤⣾⣿⣿⣿⣿⣿⣿⡟⡸⣑⠦⡏⣸⡇ ⠈⣟⡄⢫⠖⡥⢎⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⡜⡱⠜⡼⢠⣷⠀ ⠀⠘⣽⡌⢳⡜⡢⢕⡹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢯⡘⠲⣍⡝⢡⢯⠃⠀ ⠀⠀⠘⣾⡄⢳⡍⠚⣴⢩⢻⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⠈⣿⣿⣿⣿⡟⢱⢢⡍⢳⡜⢠⣿⠃⠀⠀ ⠀⠀⠀⠘⢿⡦⣙⢣⡓⢮⡘⢭⢛⡿⣿⡀⠀⠀⠀⠀⠀⠀⣿⢿⡛⣍⡚⢥⢎⡹⢆⣱⡿⠃⠀⠀⠀ ⠀⠀⠀⠀⠀⠙⢶⣣⡙⢦⡙⢦⢋⡶⠱⡌⡟⠯⣍⠻⡻⢱⠩⣖⢱⠸⣘⠣⢎⣵⡮⠋⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠈⠻⢵⡼⣂⡅⠊⠝⠛⠼⠳⠬⠳⠗⢋⠋⠱⢈⣅⢧⡻⠚⠉⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠚⠿⠶⣞⣖⣦⣤⣥⡖⣶⠮⠿⠛⠊⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣠⣤⣤⣶⣶⣤⣤⣤⣄⣄⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣾⡿⠟⠋⠉⠉⠉⠉⠉⠉⠉⠙⠛⠛⠛⠿⠿⣶⣦⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⡿⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠻⣷⣤⡀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣾⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣦⡀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣿⣄⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣧⣤⣤⣄⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣤⣤⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢿⣆⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡟⢡⣿⣶⣽⣧⡀⠀⠀⠀⠀⣴⡾⣿⣿⣿⣷⣦⣉⠻⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⡀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⠁⣿⣿⣿⣿⡏⣧⠀⠀⠀⢰⡿⢰⣿⣿⣿⣿⣿⣿⣦⠈⢻⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡇ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⡀⢻⣿⣿⣿⡗⣿⠀⠀⠀⠸⣷⡸⣿⣿⣿⣿⣿⣿⣿⡇⠀⢹⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠁ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⢷⣌⠻⠿⣿⣷⠇⠀⠀⠀⠀⠙⢷⣿⣿⣿⣿⣿⣿⠟⠁⣠⡾⠃⠈⠑⢤⡀⠀⠀⠀⠀⢠⣿⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⡄⠙⠛⠚⠛⠁⠀⠀⠀⠀⠀⠀⠀⠈⠛⠻⠿⠽⠷⠶⠟⠋⡀⢀⠀⠀⠀⠹⡄⠀⠀⢠⣿⠇⠀ ⠀⠀⠀⣠⣤⣤⣀⠀⠀⠀⠹⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡆⠀⠀⠀⠀⠀⢧⠱⡈⢧⠀⠀⠀⠇⠀⣠⣿⠋⠀⠀ ⠀⠀⢀⣿⠀⣼⡿⠿⠶⣦⣄⠘⢿⡶⠷⢦⣌⠛⠛⠛⠷⠶⠶⠶⠄⠀⠙⢄⠀⠀⠀⠀⠈⢧⠙⠆⠀⢀⣀⣴⡾⠟⠁⠀⠀⠀ ⢠⡞⢛⣿⣷⣿⣇⠀⠀⠀⠹⢷⣿⠁⠀⢨⡿⠛⠻⣶⡀⠀⠀⠀⠀⠀⠀⠀⠙⠂⠀⠀⢀⣀⣤⣴⣾⠿⠛⠉⠀⠀⠀⠀⠀⠀ ⢸⣄⣿⠋⠈⠙⠻⢦⣄⠀⠀⠀⠙⢷⣦⣟⡅⠀⠀⢹⡿⠶⠶⠶⢶⡶⠶⠶⠶⠶⠿⠟⠛⠋⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣸⠛⢿⣧⡀⠀⠀⠀⠙⢷⡄⠀⠀⠀⠀⠉⠁⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠘⢧⣼⡁⠙⢶⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢸⣟⣻⣤⡀⠈⠓⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠙⠻⣿⠛⠒⠤⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠙⠷⣦⣄⡀⠀⠀⠀⠀⠀⠀⣀⣤⣾⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠉⠙⠛⠳⠿⠿⠿⠟⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
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⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣾⣿⣿⣿⣿⠿⠟⠛⠛⠉⠉⠁⠉⠉⠉⠙⠛⠛⠿⣿⣿⣿⣿⣿⣦⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣾⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⣿⣿⠿⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠻⢿⣿⣿⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⠾⠟⠛⢉⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⣿⡿⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠻⣿⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⠏⠀⠀⣰⣾⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⣿⠟⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣿⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣴⠾⠟⠃⠀⠀⠀⣹⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣿⣦⠀⠀⠀⠀⠀⠀⠀⠖⠋⠀⠀⠀⠀⠀⢀⣼⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢻⣧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢴⡿⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢻⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⡟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⣷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠉⠳⠆⠀⠀⢀⣰⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠀⠀⠀⠀⠀⠀⣨⣿⡟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ 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⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡀⠤⠤⠤⠤⠤⢀⣀⡀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡠⠔⠊⠉⠉⡀⣀⣀⣀⣀⣀⣀⣀⠀⠀⠉⠁⠢⠤⠄⠒⠉⠀⠀⠀⠀⠉⠒⠤⡀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠔⠊⠁⢀⣠⣦⣶⢿⣛⢯⠯⣝⠮⣝⡹⣏⢿⡻⢿⣳⣤⣀⣀⣰⣴⣾⢿⡿⣿⢷⣄⠀⠐⣄⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠊⠀⣁⣶⣷⢿⣫⣓⣮⢓⡮⢇⡻⣬⢛⡼⣣⡝⡶⣹⢣⣓⢮⢻⠿⣿⣹⢮⣗⣻⡼⢯⣿⣷⡄⠘⣆⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡠⠃⢠⣶⣿⡿⢛⣽⣿⣿⣿⣿⣿⣿⣷⡭⢏⡶⢣⡝⡞⣥⢻⣬⡓⣏⠾⣹⢻⣿⡼⣧⣿⣿⣿⣿⣿⠄⠘⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡰⠁⢠⣿⣿⠏⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡯⣜⣧⣿⡿⣾⣷⣶⣿⣼⡭⢧⣫⠽⣿⣿⣿⣿⣿⣿⣿⡀⠀⡆ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠃⢀⣿⡿⠏⠀⢺⣿⣿⣿⣟⠻⣿⢿⣿⣿⣿⣿⡾⢏⣾⣿⣿⣿⣿⣿⣿⣿⣷⣧⡻⣜⣿⣿⣿⣾⣿⡟⠀⠀⠇ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⣾⣿⡇⠀⠀⣸⣿⣿⣿⣿⣦⡹⣸⣿⣿⣿⠏⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡞⡼⣿⣿⠿⠋⠀⢀⡞⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠏⢰⣿⣾⡇⠀⠀⠘⢯⣿⣿⣿⣿⣷⣿⣿⣿⡇⠀⢸⣿⣿⣿⣿⡟⢻⡟⣽⣿⣿⣿⣿⣿⡵⣻⣆⠀⢀⡼⠋⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠃⢸⣿⣞⣷⡀⠀⠀⠀⠹⠿⣿⣿⣿⣿⡿⢹⠁⠀⠸⣿⣿⣿⣿⣷⣌⠀⣿⣿⣿⣿⣿⣿⢞⡵⡏⠀⢸⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⢸⣷⢮⣝⣿⡷⣶⣤⣤⣤⣼⡟⢋⠅⢢⠙⣧⡀⠀⠹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣟⠮⣝⣷⠀⢸⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠜⠀⣿⣟⢾⡹⣏⠷⣎⢷⡹⣖⠏⢄⠊⡄⠃⡜⠻⣆⡀⠙⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢎⡟⣾⡗⠀⡞⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡠⠒⠁⣀⣤⣾⣿⣯⠷⣭⢻⡜⣧⠟⢡⠘⡠⢃⠌⡒⣀⠣⢈⡙⣷⣦⣝⣻⡿⠿⣿⣿⣿⣛⢧⣛⣾⡏⠀⡰⠃⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠤⠤⢤⠒⠒⠒⠔⠉⣀⣴⣶⣿⡻⣝⣾⣿⣿⣍⠩⡉⠔⣈⠢⠑⡄⢣⠘⡰⢀⠆⡡⠐⢯⣻⡜⣯⣛⢿⡻⣝⣶⣯⣷⡿⠟⠀⡰⠁⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢀⡴⠡⣠⣤⣀⣾⡷⣦⣤⣶⣿⣿⣿⣖⣿⣿⣿⣿⣿⣿⣷⣬⠒⡀⠆⡑⡈⠆⡱⢀⠣⡘⠤⢉⠌⢷⡝⣶⡹⣎⢷⣹⣛⣿⠟⠁⣀⠟⠁⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢀⠎⣱⣦⣾⡿⣹⢻⣧⡽⣽⠟⠿⣿⣿⣿⣿⣿⣿⡿⠞⠋⠉⠀⠉⠻⢦⣕⣠⢁⠒⠤⢁⠆⢡⠘⡠⠊⠤⣙⠳⠽⣎⣷⡷⠛⠁⢀⠜⠉⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢠⠃⣶⣿⢻⣱⡭⢇⡯⢽⢿⣧⣌⠂⣽⣿⣿⠟⠛⠁⢀⣡⠖⠃⠒⠄⡀⠀⠀⠉⠛⠓⠾⠦⢮⣤⣧⣴⣭⣴⠴⠾⠚⠋⠉⢀⡠⠞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢀⣀⣀⠏⢸⣿⣼⣧⣛⢿⣿⡘⡉⢄⣿⡋⡐⢿⠁⠀⣠⠴⠚⠁⠀⠀⠀⠀⠀⠀⠉⠒⠂⠤⠤⠤⢀⣀⠀⠀⠀⠀⢀⣀⠠⠤⠒⠊⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⡤⢊⣵⣄⣀⣴⣾⣿⣿⣿⣏⠢⢈⣿⣶⢾⠟⢡⠐⣺⠆⢠⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣁⣾⣿⣿⣿⣿⣿⣿⣿⣿⢫⣴⠟⡉⢌⡶⠛⠛⠛⢋⣀⡜⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠘⣿⣿⣿⣿⡿⣿⠟⠉⠈⠻⢦⣘⣴⠏⢀⠔⠊⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣇⢹⣿⣿⣿⣿⠟⣀⠔⠒⠂⠤⠤⠤⠚⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠈⠢⣙⠛⠛⣁⡴⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⢀⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⡐⠁⠸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⠀⠀⠀⣀⡀⠀⠀⠀⠀⠀⠀⠀ ⠇⠀⠀⠆⠀⠀⠀⠀⠀⠀⢀⠄⠂⠁⠀⠀⠀⠀⠀⠀⠀⠁⠂⢄⠀⠀⠀⠀ ⠸⠀⠀⠘⡀⠀⠀⠀⢀⠔⠁⢠⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠑⢄⠀⠀ ⠀⢃⠀⠀⠡⠀⠀⠠⠁⠀⠀⠈⠙⣿⣶⣶⣦⠀⢠⣤⣤⣤⣤⣄⡀⠀⠣⠀ ⠀⠈⠆⠀⠀⠡⢀⠃⠀⠀⠀⠀⠀⣿⣿⠇⠀⠀⠈⠁⣿⣿⡇⠉⠁⠀⠀⢃ ⠀⠀⠈⠄⠀⠀⠹⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠛⠁⠀⠀⠀⠀⠸ ⠀⠀⠀⠈⢆⠀⠀⠐⡄⣀⡀⠀⠀⠀⠀⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠈⢂⠀⡠⠜⠁⣰⣤⠀⠀⠀⠛⠋⠛⠻⢷⡄⠀⠀⠀⠀⠀⠀⡀ ⠀⠀⠀⠀⠀⠀⠫⣀⣴⣾⣿⠛⠀⠈⠁⠢⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠁ ⠀⠀⠀⠀⠀⠠⣾⣿⡿⠛⠉⠀⠀⠀⠀⠀⠰⠀⠀⠀⠀⠀⠀⠀⢀⠔⠁⠀ ⠀⠀⠀⠀⠀⠀⠸⠁⢤⠀⠀⠀⠀⠀⠀⠀⢠⠀⠀⠀⠀⠀⡀⠔⠁⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠑⡀⠀⠀⠀⢀⡠⠃⠀⠀⠒⠀⠁⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠓⠐⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣠⣤⣤⣤⣤⣤⣤⣤⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣀⣴⡾⠿⠛⠛⠛⠋⠉⠉⠉⠉⠉⠉⠙⠛⠻⠿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⣤⠞⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠻⣷⣄⠀⠀⡞⠳⠞⢳⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣴⡟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⣿⣦⠀⠙⠶⠋⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢀⣾⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠀⠀⠀⠈⠻⣷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⣾⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡴⠟⠛⠿⣿⣶⡄⠀⠘⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⣸⡿⠀⠀⠀⠀⠀⣀⣤⣶⡿⠿⠿⠿⢷⣶⣄⡀⠀⠀⠀⠀⢠⡟⠁⢀⣀⡀⠀⠙⢿⣦⡀⠸⣧⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⣿⡇⠀⠀⠀⣴⣿⠿⠋⠁⠀⠀⣀⣀⣀⣈⠻⢿⣦⡀⠀⢀⣿⣠⣾⣿⣿⣿⣷⣦⡀⢻⣿⡀⢻⣇⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⣿⠁⠀⠀⣼⡿⠃⠀⠀⣠⣴⣿⣿⣿⣿⣿⣿⣦⣻⣿⣄⢸⣿⡿⢿⠿⣿⣿⣿⣿⣷⡀⣿⣷⢸⣧⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⣿⡄⠀⢠⣿⠁⠀⢀⣶⠛⠿⠉⣿⣿⣿⣿⣿⣿⣿⣿⣿⣼⣿⣷⣄⣴⣿⣿⣿⣿⣿⡇⣿⣿⢸⣿⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢻⣇⠀⢸⡇⠀⢠⣾⣿⣧⣤⣾⡿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣿⣿⣷⣿⡏⣾⡟⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠘⣿⡀⠈⣷⡀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⣸⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠸⣷⡀⠘⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⣿⡿⠃⠀⠻⣿⣿⣿⣿⣿⣿⣿⡿⠋⢴⢿⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠈⠱⠄⠈⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠋⠀⠀⠀⠀⠉⠛⠿⢿⣿⠟⠋⢀⣄⣴⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠘⠣⣄⡰⠝⣯⠛⢿⡟⠛⠋⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣨⣵⣶⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⣴⠾⠛⢻⣦⠈⠛⢷⣦⣄⣀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣠⣤⣾⠿⠟⠁⠀⠀⠀⣰⣾⣷⣦⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠻⣤⠀⠀⠙⣧⠀⠀⠀⠀⠉⠙⠻⠶⠶⠶⠶⠶⠿⠿⠛⠛⠁⠀⠀⠀⠀⠀⠀⠀⣰⡿⠁⠀⣿⡇⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢸⣇⠀⠀⢻⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡏⠀⠀⠀⣿⠇⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢸⠟⠀⠀⠀⠙⠋⠙⠛⠉⠛⠛⠛⠛⠻⢧⠀⢀⣴⠿⠟⠛⠛⠉⠛⠛⠛⠀⠀⠀⠀⠈⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⡞⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⣀⣀⠀⢀⣽⠀⣇⠀⢀⣀⡀⠀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣇⠀⠀⠀⠀⠀⠀⠀⠀⠉⠙⠻⣿⣿⠛⠛⠃⠀⠘⠓⢻⣿⡿⠛⠋⠉⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠘⢦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⡿⠀⠀⠀⠀⠀⠀⠀⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⣿⠋⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠑⢻⣄⡀⠀⠀⠀⠀⠀⣠⡟⠀⠀⠀⠀⠀⠀⠀⠀⢿⣧⡀⠀⠀⠀⠀⠀⢀⣠⣴⠿⠋⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠙⠓⠒⠒⠒⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠷⠶⠶⠶⠾⠟⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⣀⡀⠀⠀ ⠰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡆ ⠐⠀⠸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇ ⢈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⠠⠤⠀⠠⠄⠠⠤⠠⠤⢀⡀⠀⠠⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇ ⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠤⢴⠚⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠳⣬⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇ ⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡤⠛⠘⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣠⡄⠀⠀⠀⣀⣤⣀⣀⡀⠸⢧⣃⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇ ⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡤⣫⣴⣾⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠉⢻⡇⠀⠀⠘⠿⠿⠿⢿⣿⣷⣶⣍⠷⣄⣢⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⢠⣿⣾⠿⠛⠉⠁⠀⠀⢀⣀⣄⣀⠀⢀⠀⠀⣽⡧⠀⣀⣀⡀⢀⠀⠀⠀⠉⠛⠿⣿⣞⡾⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇ ⠈⠀⢀⠀⠀⠀⠀⠀⠀⢀⡼⡿⠏⢄⠂⡀⠄⡀⢐⣼⠟⡉⠩⠙⣿⣦⠐⡀⢿⣷⡾⠛⢻⣿⡆⠄⡡⠘⡀⠆⢠⠀⡛⢿⠭⣆⠀⠀⠀⠀⠀⠀⠀⠀⡇ ⢈⠀⢈⠀⠀⠀⠀⠀⠀⣼⢃⠱⡈⠂⠔⣀⠒⡈⣼⣿⠀⠤⠑⡈⠘⣿⣇⠀⣿⣏⠠⠈⠄⣿⡇⡘⢠⠡⡘⠤⡡⢘⠰⣈⠜⣹⣄⠀⠀⠀⠀⠀⠀⠀⡇ ⠀⠀⢨⠀⠀⠀⠐⠀⣸⢥⢊⣶⡵⣯⣶⣦⡒⢤⣹⣿⢀⠢⢁⡐⠁⣿⡧⠈⣾⣇⠂⡉⠄⣻⡧⣜⣦⣷⣿⡷⣯⣧⣷⣌⢎⣱⢻⡄⠀⠀⠀⠀⠀⠀⡇ ⠐⠀⢸⠀⠀⠀⠀⠀⢹⣼⡿⠏⠁⠀⠉⠐⠿⣷⣺⣿⣆⠰⣀⠄⣣⡿⡁⠂⣿⣇⠒⡈⡴⣿⡿⠟⠛⠀⠀⠀⠀⠀⠈⠹⣿⡲⣏⡷⠀⠀⠀⠀⠀⠀⡇ ⠀⠀⢸⠀⠀⠀⠀⠀⢸⣿⡙⠀⠀⠀⠀⠀⠀⠈⠿⣞⡻⠷⠶⠾⢋⠁⠄⡷⠿⠿⠶⣱⣿⡿⠿⠦⠀⠀⠀⠀⠀⠀⠀⠀⠙⣿⣜⡳⠀⠀⠀⠀⠀⠀⡇ ⠀⠀⢸⠀⠀⠀⠀⠀⣹⠃⠀⠀⡀⠀⠀⠀⠀⠀⠀⠻⣟⢧⡘⢄⠣⡘⠰⣀⠃⢆⡽⣿⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡷⡹⠀⠀⠀⠀⠀⠀⡇ ⠀⠀⢸⠀⠀⠀⠀⡀⢹⡀⢀⣾⣿⣷⡄⠀⠀⠀⠀⠈⡿⣷⡘⢤⠂⡅⠣⢄⡉⢦⣽⠿⠀⠀⠀⠀⠀⠀⣠⣶⣾⣿⣶⡀⠀⠀⣿⢇⠀⠀⠀⠀⠀⠀⡇ ⠀⠀⢸⠀⠀⠀⠀⠀⢸⡍⠸⣿⣿⣿⣷⡂⠀⠀⠀⠀⢙⣷⡙⢦⡉⠔⡃⢆⡙⣲⣿⠠⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⡇⠀⢸⣏⡞⠀⠀⠀⠀⠀⠀⡇ ⠀⠀⢸⠀⠀⠀⠐⠀⢿⣾⠀⢻⣿⣿⣿⠃⠀⠀⠀⠀⠨⣿⡙⠦⢌⡱⣑⠢⢜⡰⣿⣄⠀⠀⠀⠀⠀⠸⣿⣿⣿⣿⡿⠁⠀⣼⣾⡇⠄⠀⠀⠀⠀⠀⡇ ⠀⠀⢸⠀⠀⠀⠀⠀⡈⣷⢧⡀⠈⠛⠁⠀⠀⠀⠀⠀⣴⢫⡕⡩⢆⢒⡡⣙⢢⠱⣻⣾⠀⠀⠀⠀⠀⠀⠙⠿⠟⠋⠀⠸⣴⣯⡟⠀⠀⠀⠀⠀⠀⠀⡇ ⠈⠀⢸⠀⠀⠀⠀⠀⢁⠸⣿⢷⣦⣀⡀⠀⠀⠀⠀⣰⣯⢓⢬⡑⢎⠦⡱⢌⠦⣓⡱⢿⣗⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣼⣟⡏⠀⡔⠀⠀⠀⠀⠀⠀⡇ ⠐⠀⠸⠀⠀⠀⠀⠀⠀⠀⠘⢿⣯⣟⡷⣦⣤⣤⢿⢣⢏⡎⢦⡹⣘⠲⣥⢋⡞⣡⢚⢭⢻⡿⣶⣄⣀⣀⣀⣠⢦⣾⣟⣷⡟⠀⠈⠀⠀⠀⠀⠀⠀⠀⡇ ⢈⠀⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣯⣟⣷⣻⡼⣏⣾⣚⡼⢣⡳⢥⡛⣤⢫⡜⡥⣏⡞⣦⡝⣧⢿⡽⣯⢿⣽⣻⡾⣽⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⣷⢻⣽⢻⣶⡝⡞⣧⠛⣶⠙⣦⢳⡜⢳⣮⡝⣶⢻⣭⣿⣽⣯⣿⡞⣷⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇ ⢈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⠽⣻⣞⢷⣻⢾⣽⢮⣿⡼⣧⣟⣳⣮⣽⣳⢯⣟⣾⣳⣿⠾⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇ ⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠚⠽⢯⣟⡾⣯⢷⣻⣽⣞⣯⣷⢯⡿⡽⠾⠓⠛⠀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇ ⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇ ⠰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⢀⠇
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⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⣀⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣠⣴⣶⠿⠛⠛⠉⠉⠉⠛⠛⢷⣶⣤⠀⠀⠀⠀⠀⠀⢀⣤⣶⠿⠛⠛⠛⠛⠛⠻⢶⣶⣄⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢠⣾⠿⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣷⡄⠀⠀⢀⣾⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⣿⣆⠀⠀⠀ ⠀⠀⠀⢠⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⡄⢰⣿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣇⠀⠀ ⠀⠀⢀⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⠀⠀⠀⢸⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⡆⠀ ⠀⠀⢸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣷⠀⠀⣿⣿⠁⢀⣾⣿⣿⣿⣶⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⡇⠀ ⠀⠀⢸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⣿⣿⣿⣿⠃⠀⣿⣿⠀⠸⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀ ⠀⠀⠸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠻⠿⠟⠋⠀⢠⣿⣿⡇⠀⠙⠛⠿⠿⠛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⡇⠀ ⠀⠀⠀⢻⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣾⠏⠸⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⡿⠁⠀ ⠀⠀⣠⣿⢿⣧⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⡿⠋⠀⠀⠙⢿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⣿⣅⠀⠀ ⠀⢠⣿⠇⠀⠙⠻⣷⣦⣄⣀⡀⠀⣀⣀⣤⣴⣾⡿⠋⠀⠀⠀⠀⠀⠀⠙⠻⣶⣦⣤⣤⣤⣤⣤⣴⣶⡿⠛⢿⡇⠀⠀⠀ ⠀⣿⡏⠀⠀⠀⠀⠀⠈⠉⠛⠛⠛⠛⠛⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠉⠉⠁⠀⠀⠀⠀⠀⠘⣿⠀ ⢠⣿⠃⠀⠀⠀⠀⠀⠀⠙⢦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡤⠀⠀⠀⠳⣄⠀⠀⢹⣇ ⢸⣿⠀⠀⢸⠀⠀⠀⠀⠀⠘⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡘⠁⠀⠀⠀⠀⠘⡆⠀⢸⣿ ⠈⣿⡄⠀⠘⣆⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣄⠀⠀⠀⠀⠀⠁⠀⣾⡇ ⠀⢻⣷⡀⠀⠈⠛⠆⠀⠀⠀⠀⢠⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⠀⠀⠘⠓⠀⠀⠀⠀⠀⣼⡿⠀ ⠀⠀⠻⣿⣄⡀⠀⠀⠀⠀⠀⠀⠈⠻⣿⣦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣴⣶⡿⠛⠁⠀⠀⠀⠀⠀⠀⣠⣾⡟⠁⠀ ⠀⠀⠀⠈⠻⢿⣶⣤⣀⠀⠀⠀⠀⠀⠀⠉⠻⣿⣦⣄⠀⠀⠀⢀⣠⣴⣾⠿⠛⠁⠀⠀⠀⠀⠀⠀⣀⣤⣾⡿⠋⠀⠀⢀ ⠀⠀⠀⠀⠀⣀⣭⣿⡿⠿⣿⣶⣶⣦⣤⣤⣤⣤⣼⣿⣿⣶⣶⣿⣿⣋⣁⣀⣀⣠⣤⣤⣤⣴⣾⣿⣟⣛⠁⠀⠀⠀⡠⠀ ⠀⠀⢀⣴⡿⠛⠉⠁⢀⣾⡟⠁⣼⣿⣿⣿⡏⠉⣩⣭⣿⣻⣿⣿⣿⣍⠉⠙⣿⣯⣿⡏⠻⣿⣌⠉⠙⠛⢷⣦⣄⡐⠁⠀ ⠀⣰⣿⠋⠀⠀⠀⢠⣾⠏⠀⢰⣿⣿⣿⣿⠁⠀⢿⣿⣿⣿⣿⣿⣿⣿⠀⠀⢿⣿⣿⣿⡄⠘⢿⣦⠀⠀⠀⠈⣻⣧⠀⠀ ⠀⠛⢿⣿⠀⠀⢀⣿⠇⠀⢠⣿⣿⣿⣿⡇⠀⠀⠸⢿⣿⣿⣿⣿⣿⠟⠀⠀⢸⣿⣿⣿⣷⠀⠈⢿⣇⠀⠀⢰⣿⡿⠇⠀ ⠀⠀⠰⣿⣤⣤⣾⡏⠀⠀⣾⣿⣿⣿⣿⠁⠀⠀⠀⢸⣿⣿⣿⣿⣿⠀⠀⠀⠘⣿⣿⣿⣿⡆⠀⠈⣿⣇⣠⣾⣿⠀⠀⠀ ⠀⠀⠀⠀⠀⢻⣿⠁⠀⣼⣿⣿⣿⣿⡟⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⢻⣿⣿⣿⣿⡄⠀⢸⣿⡟⠉⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢈⣿⣷⣶⣿⣿⣿⣿⣿⣅⣀⣀⣀⣀⣿⣿⣿⣿⣿⣿⣀⣀⣀⣀⣸⣿⣿⣿⣿⣧⣤⣴⣿⡇⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢠⣾⠟⠁⠀⠉⡉⠉⠉⠉⠉⠙⠛⠛⠛⠛⠛⣿⣿⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠋⠉⠉⢻⣿⡄⠀⠀⠀⠀ ⠀⠀⠀⠀⠘⣿⣤⣴⣶⡿⢿⣦⡀⣀⣤⣾⣶⣄⡀⣀⣴⣿⢿⣧⡀⠀⢀⣤⣶⣄⡀⠀⣠⣾⣷⣶⣬⣀⣿⡇⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠉⠉⠀⠀⠀⠙⠛⠛⠛⠁⠈⠙⠛⠛⠛⠁⠈⠛⠻⠿⠛⠉⠉⠛⠿⠿⠟⠁⠀⠈⠝⠛⠋⠀⠀⠀⠀⠀
⠀⠀⣠⠖⢻⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⡰⠃⠀⠈⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢠⡇⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡤⠔⠒⠉⠉⠀⠀⠀⠀⠀⠈⠉⠒⠢⢄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠈⡇⠀⠀⠀⠀⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠴⠊⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠑⠤⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⢱⠀⠀⠀⠀⠸⡀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠚⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠳⣄⠀⠀⠀⠀⠀ ⠀⠈⣇⠀⠀⠀⠀⢣⠀⠀⠀⠀⠀⠀⢀⠜⠁⠀⠀⠰⣿⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢢⡀⠀⠀⠀ ⠀⠀⠹⡄⠀⠀⠀⠀⢇⠀⠀⠀⠀⢠⠋⠀⠀⠀⠀⠀⠈⠻⢿⣿⣶⣶⣤⣤⣤⠀⠀⠀⣀⣠⣤⣤⣤⣤⣀⡀⠀⠀⠀⠀⠱⡀⠀⠀ ⠀⠀⠀⢳⠀⠀⠀⠀⠈⣆⠀⠀⢠⠃⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⡟⠛⠛⠀⠀⠘⣿⠿⣿⣿⣿⣿⠿⣿⣿⡆⠀⠀⠀⠹⡀⠀ ⠀⠀⠀⠈⢇⠀⠀⠀⠀⠘⣆⠀⡎⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⡇⠀⠈⠀⠀⠀⠀⠀⢣⠀ ⠀⠀⠀⠀⠈⢆⠀⠀⠀⠀⠘⢾⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠻⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠈⡄ ⠀⠀⠀⠀⠀⠈⢆⠀⠀⠀⠀⠈⢧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇ ⠀⠀⠀⠀⠀⠀⠈⢆⠀⠀⠀⠀⠈⢧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁ ⠀⠀⠀⠀⠀⠀⠀⠈⢦⠀⠀⠀⠀⠀⠳⣄⠖⢲⡀⠀⠀⠀⠀⠀⠀⢠⣶⣶⣶⣦⣤⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢣⡀⠀⠀⢀⡴⠋⠀⠀⣱⣄⡀⠀⠀⠀⠀⠈⠛⠋⠉⠛⠻⠿⣿⣷⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠳⡴⠚⠁⠀⢀⣴⣿⣿⣿⣿⠒⠢⠤⢤⣀⠀⠀⠀⠀⠀⠀⠀⠙⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠇⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣄⣠⣶⣿⣿⣿⣿⡋⠁⠀⠀⠀⠀⠈⠓⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠎⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣴⣿⣿⣿⣿⣿⠿⠛⠁⠀⠀⠀⠀⠀⠀⠀⠈⢆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠋⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⣿⣿⣿⠟⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠜⠁⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡋⠀⣀⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡠⠖⠁⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠁⢺⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡎⠀⠀⠀⠀⠀⠀⣀⡠⠖⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣇⠀⠀⠀⠀⠀⠀⠀⢀⡠⠚⠒⠒⠒⠒⠂⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⢳⠀⠀⣀⠤⠖⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡘ ⠀⠀⠀⠀⠀⠀⠀⠀⢠⡤⣄⡤⢤⡀⢠⡀⠀⠘⠡⠀⢀⡀⣀⡄⣄⡄⣄⠀⠀⠀⠀⠀⢀⠀⢸⢹ ⠀⠀⠀⠀⠀⠤⢠⡀⢿⣿⣿⣿⣿⠇⢀⣠⣤⣀⣀⣤⣄⡁⢿⣿⣿⣿⣿⠇⢀⡀⠀⠀⠇⠀⡂⠈ ⠀⠀⠀⠀⠀⠰⠈⠁⠈⠻⣿⡿⠋⠀⣾⣿⣶⣿⣿⣶⣝⣷⠈⠻⣿⡿⠋⠀⠈⠡⠆⠀⡇⢀⠂⠀ ⠀⠀⢀⣠⣤⣤⡄⠀⣠⡀⢰⡀⠀⠀⠘⣿⣿⣿⣿⣿⣿⠃⠀⢠⠌⢀⡄⠀⣠⣤⣄⣀⢇⡎⠀⠀ ⢀⡀⠸⣿⣿⣿⡏⠀⠘⣴⣺⡗⠃⠀⠀⠈⠻⣿⣿⠟⠁⠀⠒⢾⠇⡞⠃⠀⢿⣿⣿⣿⠏⠀⠀⠀ ⣾⣿⣦⣌⠙⠛⠀⠀⠀⠙⠈⠁⠀⠀⢀⣀⣀⣉⣁⣀⣀⠀⠀⠚⠸⠏⠀⠀⠈⠛⠋⠁⣠⣴⣿⡆ ⣿⣿⣿⣿⣷⣶⣤⣀⣀⣀⣠⣶⣾⣿⣿⡿⠿⠿⠿⠿⢿⣿⣿⣶⣦⣄⣀⣀⣀⣤⣶⣾⣿⣿⣿⣷ ⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠟⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠉⠙⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇ ⠈⢿⣿⣿⣿⣿⣿⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣿⣿⣿⣿⣿⣿⡟⠀ ⠀⠀⠻⣿⣿⣿⡟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣿⣿⡿⠋⠀⠀ ⠀⠀⢀⣾⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣿⣧⠀⠀⠀ ⠀⠀⣼⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣿⡆⠀⠀ ⠀⢠⣿⣿⠃⠀⠀⠀⠀⣀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⡀⠀⠀⠀⠀⢸⣿⣷⡀⠀ ⠀⢸⣿⣿⠀⠀⠀⠀⠀⠛⠛⠛⠿⣶⣄⠀⠀⠀⠀⠀⢀⣴⣾⡿⣛⠛⠃⠀⠀⠀⠀⢸⣿⣿⡂⢰ ⠀⢸⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⣴⣿⣿⡷⠀⠀⠀⠀⣿⣿⣷⡄⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⠇⢸ ⠀⠸⣿⣿⡆⠀⠀⠀⠀⠀⠀⠸⣿⣿⣿⡇⠀⠀⠀⠀⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⣼⣿⡿⢈⡼ ⠀⠀⢻⣿⣿⡄⠀⠀⠀⠀⠀⠀⠙⢿⠟⠁⠀⠀⠀⠀⠘⢿⡿⠁⠀⠀⠀⠀⠀⠀⣸⣿⣿⠇⠐⡇ ⠀⠀⠈⢿⣿⣷⡀⠀⠀⠀⢀⣐⣢⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⡀⠀⠀⠀⠀⣸⣿⣿⡏⠀⠀⡇ ⠀⠀⠀⠈⢿⣿⣷⣄⠀⠀⠀⠙⠻⣿⣷⣶⣶⣶⣶⣶⣶⣿⡿⠏⠀⠀⠀⠀⣼⣿⣿⠟⠀⠀⢐⡽ ⠀⠀⠀⠀⠀⠹⣿⣿⣷⣄⠀⠀⠀⠀⠉⠹⠟⠛⠻⠿⠛⠁⠀⠀⠀⢀⣤⣾⣿⡿⠃⠀⠀⠀⡼⠃ ⠀⠀⠀⠀⠀⠀⠈⠛⢿⣿⣿⣦⣄⣀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣤⣾⣿⣿⠟⠋⠀⠀⠀⠀⠀⠘⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠻⢿⣿⣿⣿⣿⣶⣶⣿⣿⣿⣿⠿⠛⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠛⠋⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⡛⠛⠿⣿⣿⡿⠛⠛⠛⠻⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣼⣠⣽⣥⣴⣏⣁⠀⠀⠀⠀⠀⢀⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⢿⡻⣟⡿⣿⣿⣅⠀⠁⠲⣄⣀⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣭⡷⣏⡷⣽⣳⣻⣿⡄⠂⠀⢙⣶⣄⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠉⠙⢿⣟⣾⡱⣟⠶⣽⣿⣇⣤⣅⣘⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⠀⠀⠈⠙⠿⣿⣾⣿⡿⠋⠉⠉⠉⣿⣿⣭⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣤⡀⠀⠀⠀⠀⠀⣀⠀⢐⣤⣤⡄⠀⠀⠈⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡱⢯⡽⣻⣶⣄⠀⠐⠀⢀⣴⣿⣟⣻⡿⠀⠀⠀⠐⡽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣳⡽⣧⡻⣵⢫⢿⣿⣦⣵⣿⢿⣹⣼⡟⠁⢀⠂⠠⠀⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣳⢯⣷⣻⡵⣯⠷⣎⣯⢳⣽⣾⡿⠋⠀⡐⠀⡀⠂⠐⢀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣟⣾⣳⢿⣵⣻⣽⣾⣿⠟⠁⢀⠀⠂⠄⠐⠠⠀⠁⠰⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣯⣿⣽⣻⣞⣷⣿⡇⣠⢠⡐⡀⡔⡀⢔⡀⡐⠈⡤⠱⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⢋⠘⠈⠃⠈⠣⠁⡅⠈⠌⠈⠈⠁⠁⠀⠈⠌⡈⠈⠈⠅⠀⠀⠀⠀⠈⠈⠈⢀⠁⡀⠀⠀⠈⠀⠀⡉⢀⠡⠁⢈⠀⠈⠀⠀⠀⠡⢀⠁⠌⠀⠀⠀⠀⠀⠀⠐⢀⠈⠄⠠⠄⠀⠀⠀⠀ ⠆⠀⠀⡀⠀⢣⠐⠄⡑⡈⠄⠀⠀⠀⡀⢐⠀⣀⢂⣡⣤⣶⣼⣶⣷⣬⣅⠢⡄⠐⡀⠀⠀⠀⠀⠀⡐⢂⢂⠡⠐⠀⠀⠀⠀⠀⡁⢂⢈⠐⢁⠂⠀⠀⠀⠀⢈⠄⡈⢂⠁⠂⠀⠀⠐⠀ ⠦⡄⠤⡀⠤⠄⠂⠀⠁⠐⠀⢀⠀⠄⠀⠀⣠⣣⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣌⠒⠀⠤⠀⠄⢀⠀⠁⠂⠈⠀⠉⠀⠠⠀⠠⢀⠐⠀⠂⠈⠐⠀⠤⠀⠄⣀⠐⠀⠐⠠⠀⠡⠀⠤⠤⠄ ⢃⠐⡀⠁⠒⠀⠀⠀⠀⠁⠌⠤⣄⣸⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⡂⠁⠊⠀⠁⠀⠀⠠⠀⠀⠡⠡⡈⠁⠢⠀⠀⠀⠀⠀⡈⠠⢁⠂⠤⠀⠀⠀⠀⠀⠀⡁⠂⢡⠂ ⠃⠔⢠⠉⡔⠀⠀⠀⠠⡄⣾⣼⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡻⢟⠿⡻⢖⡶⢦⣤⣄⣀⠁⠄⡁⠒⠀⠀⠀⠀⠀⠠⠁⡌⢐⠠⠁⠀⠀⠀⠀⠐⡀⢉⠀⠄ ⠀⠈⠀⠀⠀⡐⠀⢂⢰⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣎⡖⡱⣎⠼⣥⢚⢬⢋⠟⡷⢦⣄⡐⠢⠀⠆⠐⠁⠀⠀⠀⣀⡀⢦⠐⡀⠔⡀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣀⣼⢾⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡻⢋⠦⣙⠤⡛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣖⡌⡳⢆⡭⢂⢏⡚⣌⠳⣘⠻⢷⣦⣐⣤⣤⣶⣾⣿⣿⣿⣿⣦⡇⠠⠄⠀⠀⠀⠀ ⠀⠀⠀⢠⣾⢻⣉⠶⣩⠛⡽⢿⣿⣿⣿⡿⢟⡭⣶⣿⣿⣷⣷⣮⣑⠣⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢎⠵⣋⣜⣩⣦⣝⣶⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠀⢀⠀⠀⡀⠀ ⠀⡡⢀⣿⢇⢣⠎⣇⢣⢏⡴⣋⠬⣑⠎⡴⣩⣾⣿⣿⣿⣿⣿⣿⣿⡱⢌⠽⣻⣿⣿⣿⣿⣿⣿⣿⣬⣶⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠇⢀⠈⡐⠀⡀ ⠀⠂⢨⣿⡘⢦⡛⢤⣋⠶⣘⠜⡺⡜⣜⠰⢿⣿⣿⣿⣿⣿⣿⣿⣿⢽⣊⠶⣡⢎⡛⠿⣛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠟⠋⠀⠀⠀⢂⠄⢁⠀ ⠀⠁⠀⣿⡘⢦⣙⠲⣌⢳⣉⠮⣱⡙⡆⣏⠲⡹⣿⣿⣿⣿⣿⣿⠟⣢⡙⢎⡕⠮⡜⣡⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⠻⡛⢯⡓⡬⢻⣶⡀⠀⢠⠈⠀⠈⠀⠀ ⠀⠀⠠⣟⡜⡱⢎⠳⣌⠳⡜⠲⢥⢣⡓⢬⢣⡕⣪⠙⡝⢻⢍⠣⡞⡥⣚⠥⣚⠵⣹⠰⡌⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡴⡘⣦⢳⡙⢦⡹⣔⠣⠞⣷⡄⠂⠄⠀⠀⠀⠀ ⠀⡀⢘⡧⣚⠵⣋⠳⣌⡳⢭⠹⡌⢧⢜⠣⠞⡬⣡⣋⡜⢥⢪⠱⣡⢃⡇⡎⢥⢛⠤⡛⣜⢢⡙⣛⠻⣛⠻⣩⢿⣿⣿⣿⣿⣿⣿⣿⡿⡑⢮⢥⡙⣆⠳⣌⢧⡙⠴⣻⡄⠂⠀⠀⠀⠀ ⠀⡂⢨⡗⣥⢛⡬⢳⣌⠳⣌⣷⣼⣦⣉⠯⣱⢣⣃⠦⣙⢆⡣⡹⣐⠫⡜⡩⢎⡝⢲⡱⣌⢳⡜⢆⠳⣡⢳⡐⢏⣿⣿⣿⣿⣿⣿⣿⡙⢧⣋⢦⡙⢆⡛⣔⢪⡱⢣⡙⣷⡀⠒⡈⠄⠂ ⠀⠡⢈⣿⢤⢋⡖⢣⣼⡿⣿⣛⡾⡽⣷⣞⠴⣓⣾⣿⣿⣿⣿⣷⣷⣷⣾⣵⣮⣼⣥⣲⣌⡣⢜⡩⢃⣇⠣⡝⢢⢎⡹⢻⠿⣛⠍⡦⣙⠦⡍⢦⡙⡬⡓⣌⠧⣜⢣⡱⢩⣷⠀⠐⡀⠁ ⠀⠁⠀⣿⡎⡸⡎⣁⣿⣹⢾⡹⡿⣷⣹⣾⣿⣹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣾⣷⣸⣇⡎⣰⠇⡾⡈⡎⢱⡈⡶⢹⡆⢷⡸⢱⡈⡾⡈⣇⠇⣇⣿⡆⠀⠁⠀ ⠀⠀⠀⢸⣯⡵⡹⣄⢻⣯⣷⣛⡷⣯⢷⣳⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣿⣼⣵⣼⣒⣥⢊⠧⣉⠷⣩⠲⠭⣌⠳⡔⣺⡇⠀⠀⠀ ⠀⠀⠀⠀⢿⣖⣹⠜⡢⢝⣷⣯⡽⣞⡷⣻⣖⣻⢿⣿⡿⣿⢿⣻⡟⣿⣻⣟⢿⣻⣟⡿⣻⣟⣿⢻⣟⢿⣻⢯⣻⡽⣏⡿⣽⠾⣵⣫⣏⠿⣿⣿⣿⣾⣶⣥⣯⣲⣡⢛⣬⢹⡇⠀⠀⠀ ⠀⠠⢀⠀⠘⢿⡧⡺⡝⡦⢜⣻⣷⢫⣟⣧⣟⣳⢯⡾⣵⡻⣞⣧⣟⣳⢯⣞⣯⢷⣫⢷⣛⣮⣽⣛⣾⣫⣽⣳⢯⡷⢯⣟⡾⣽⣳⢯⣞⣟⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣤⢿⡇⠀⠠⠀ ⠀⡡⠂⠈⠄⠈⢿⣧⡑⣏⠖⣽⣯⣟⣾⢳⡾⣝⡾⣽⡞⣷⣻⢮⡽⣯⣟⣾⣹⢾⣝⣯⣟⣮⣗⡿⣼⣳⡽⣭⢷⣻⡟⣮⢿⣱⢯⣻⣼⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡞⣷⠀⠁⠄ ⠀⠔⠠⠁⠂⠀⠀⢹⣶⡉⢞⣿⣳⣞⣳⢯⡷⣯⣟⡾⣽⣳⢯⣟⣵⣻⣞⣾⣹⡟⣾⣳⣞⡷⣾⣽⣳⢯⡽⣏⣟⣳⣻⣝⡾⡭⢟⡻⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣃⣿⡇⠈⠀ ⠀⠀⠀⠀⠀⠈⠄⡀⠙⢿⣾⡿⣵⢯⣛⡷⢯⡷⢾⡽⣞⣵⣻⢞⣧⣟⡾⢾⣵⣻⣳⡽⢾⣵⣳⢧⡿⠾⠽⢞⣋⢳⢩⡜⡴⡱⢣⠞⡥⢫⡔⢮⡜⡹⢛⠻⠿⡿⢟⢫⡑⢧⡿⠀⠀⠀ ⠀⠀⠀⠀⠀⢁⠂⠄⣼⣿⣻⡼⢯⣻⣭⣟⣯⢟⣯⢷⣻⢞⣭⣟⣾⣺⣽⢻⣼⣳⠿⣼⣻⠌⡕⢮⡔⡫⢞⡼⢌⠧⡓⢬⡱⢍⠧⣫⠜⣣⠞⡱⡜⡱⣍⠳⣅⢣⠍⡦⣩⣿⠁⠀⠀⠀ ⠀⠠⢀⠀⡐⠈⢠⣾⣿⢳⡷⣻⣏⡷⣞⣾⢺⡽⣞⣯⢷⣻⠾⣽⢶⣳⢯⣟⡾⣭⣟⢧⡿⢌⡹⢲⡜⡱⢎⡴⡩⢞⡙⢦⡙⣎⠳⣅⠻⢤⢫⡱⡸⢱⣌⠳⣌⡚⢬⣱⡿⠁⠠⠀⠄⠂ ⠀⣁⠂⠐⠰⠀⣿⣟⡾⣏⣷⣻⣼⢻⣞⣞⢯⣷⡻⣼⣛⣾⣻⡽⣳⢯⣟⡾⣽⣞⢾⣫⡟⣌⣓⢣⣚⡱⢫⡔⣱⢫⡜⣣⢚⡔⣫⠔⣋⢦⣓⢲⣑⠣⣎⠳⢬⠱⣦⡟⠁⠈⠠⠁⠌⠀ ⠀⠄⠂⠁⠌⠀⣿⣿⣳⡟⣶⣳⡞⣯⣞⢾⣏⡶⣟⠷⣽⢞⣵⡻⡽⣧⡟⣾⢳⣞⣿⠏⡜⢦⢪⠕⣦⡙⢧⡜⢢⢳⣘⠱⢎⡲⢥⢛⡜⢆⢎⠖⣌⠳⣌⠛⣤⡿⠋⠀⠀⠈⠄⠡⠈⠄ ⠀⠀⠀⠀⠀⢁⠀⠛⠷⣿⣵⢯⣽⢳⣏⣿⣼⣷⣛⢛⡛⢞⣓⡛⢳⡓⢟⡛⢯⡙⢦⢛⡬⢣⡍⡞⢤⡙⢦⡜⢣⠳⣌⠻⢬⠱⣎⡱⢌⡫⢎⡝⡰⣍⣶⠟⠋⡀⢂⠡⠈⠆⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢈⠐⢈⢀⠀⠉⠛⠾⠷⠟⠋⠁⠈⠙⠷⣾⣢⡥⣙⢣⠞⣦⡙⢦⡹⣌⢣⡜⣡⢎⡙⢦⡙⢦⣉⢇⡳⢬⡙⡬⢳⠬⣑⢫⣜⣶⡼⠛⠉⢀⠀⠈⡐⢀⠂⢁⠂⠀⠀⠀⠀ ⡂⠄⡀⠠⢀⠈⠀⠂⠀⠘⠀⠠⠀⠀⢀⡀⠈⠈⠀⠀⢀⠉⠙⠳⠾⣼⣤⣙⡦⡑⢎⡱⢜⡱⢊⡵⢊⡝⣢⠙⢦⡙⢦⣱⣡⣷⡾⠟⠛⠉⠁⠀⠄⠠⠀⠠⠐⠀⠂⠁⠂⠠⢀⠀⡀⠀ ⡇⢂⠠⢀⠃⠀⠀⠀⠀⠂⠁⠤⢁⠃⡈⡇⠀⠀⠀⠀⢈⠀⠰⠄⠠⠄⠈⠉⠉⠛⠛⠻⠶⠷⠿⠶⠷⠾⠶⠟⠛⠛⠋⠉⠉⠠⠀⠀⠀⠀⠁⠈⠤⠑⡈⠄⡃⠀⠀⠀⠀⠠⢀⠂⠔⠀ ⠝⠦⠰⠦⡘⠀⠀⠀⠀⠀⠁⠀⠤⠁⠀⠃⠀⠀⠀⠀⠀⠐⠀⠂⠄⡂⠀⠀⠀⠀⢀⢀⣀⣄⣠⣤⣀⣀⣀⣀⠀⣀⠂⡁⡐⢀⠀⠀⠀⠀⠀⠀⠄⠁⠂⡐⠀⠀⠀⠀⠀⠐⠀⠌⠒⠀
⠀⠀⠀⣀⡴⢶⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢀⡾⠋⠀⢸⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢀⡞⠀⠀⠀⠈⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⣀⣀⣀⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣸⠁⠀⠀⠀⠀⢹⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⡤⠖⠚⠉⠉⠁⠀⠀⠀⠀⠀⠀⠉⠉⠙⠒⠦⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢻⡀⠀⠀⠀⠀⠈⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡴⠚⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠑⠦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠈⡇⠀⠀⠀⠀⠀⠹⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⠞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⢦⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⢻⠀⠀⠀⠀⠀⠀⢧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡴⠋⠀⠀⠀⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢦⡀⠀⠀⠀⠀⠀ ⠀⠘⣇⠀⠀⠀⠀⠀⠈⣦⠀⠀⠀⠀⠀⠀⠀⠀⣠⠞⠁⠀⠀⠀⠀⣿⣿⣷⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣆⠀⠀⠀⠀ ⠀⠀⢹⡄⠀⠀⠀⠀⠀⠘⡆⠀⠀⠀⠀⠀⠀⣴⠁⠀⠀⠀⠀⠀⠀⠈⠛⢿⣿⣿⣷⣦⣤⣤⣤⣤⡀⠀⠀⠀⠀⠀⠀⣀⣀⣀⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠈⢦⠀⠀⠀ ⠀⠀⠀⢷⡀⠀⠀⠀⠀⠀⠹⡄⠀⠀⠀⠀⣼⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⠂⠀⠀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣤⡀⠀⠀⠀⠈⢷⠀⠀ ⠀⠀⠀⠈⣧⠀⠀⠀⠀⠀⠀⢳⡄⠀⠀⣸⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣷⠀⠀⠀⠀⠀⠀⠈⠛⠋⢹⣿⣿⣿⣿⣿⡉⠛⠿⢿⠃⠀⠀⠀⠀⠈⣇⠀ ⠀⠀⠀⠀⠘⣇⠀⠀⠀⠀⠀⠀⢻⡀⢀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡀ ⠀⠀⠀⠀⠀⠘⡆⠀⠀⠀⠀⠀⠀⢳⣼⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠛⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢿⣿⣿⣿⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣇ ⠀⠀⠀⠀⠀⠀⠹⣆⠀⠀⠀⠀⠀⠀⠹⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿ ⠀⠀⠀⠀⠀⠀⠀⠙⣆⠀⠀⠀⠀⠀⠀⠹⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸ ⠀⠀⠀⠀⠀⠀⠀⠀⠘⣆⠀⠀⠀⠀⠀⠀⠘⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢦⠀⠀⠀⠀⠀⠀⠈⢷⣀⡾⠛⢧⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣶⣶⣶⣶⣶⣶⣤⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢧⡀⠀⠀⠀⠀⢀⣼⠟⠀⠀⠈⣧⡀⠀⠀⠀⠀⠀⠀⠀⠘⠿⠛⠛⠛⠿⠿⣿⣿⣿⣷⣦⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢳⡀⢀⣠⠖⠋⠀⠀⠀⣰⣴⣿⣿⣿⣆⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡜⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⡏⠁⠀⠀⢀⣠⣾⣿⣿⣿⣿⡿⠏⠀⠉⠉⠛⠳⢦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⠃⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢦⣤⣾⣿⣿⣿⣿⣿⣿⡍⠀⠀⠀⠀⠀⠀⠀⠀⠈⢳⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⠃⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣴⣿⣿⣿⣿⣿⣿⣯⡼⠿⠛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡴⠃⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⢿⡿⠛⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠟⠁⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣻⡿⠟⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠞⠁⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣄⣀⣀⠴⢷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠴⠊⠁⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠀⠀⢿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⠇⠀⠀⠀⠀⠀⠀⠀⠀⣀⣠⠴⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⢻⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⠯⠤⠤⠤⠤⠤⠴⠒⠛⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠷⣤⣤⠀⠀⠀⠀⠀⢀⣠⠴⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣄⣠⡤⠶⠚⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⡠⠄⠒⠀⠈⠉⠀⠐⠂⢄⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⡠⠊⠀⢠⣶⣤⣀⢀⠀⢀⣤⣾⡟⠦⡀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⡌⠀⠀⠀⠀⠉⠉⠹⣿⡀⠛⠉⠙⢧⡀⠱⡀⠀⠀⠀⠀ ⠀⠀⠀⠀⠰⠀⠀⠀⠐⠀⠒⣤⣀⣝⡀⣀⣠⡞⢉⣧⠀⢣⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠨⣦⣀⡈⣥⡺⠿⣬⣭⣾⣿⡟⡄⢸⠀⠀⠀⠀ ⠀⠀⠀⠀⢰⠀⠀⠀⠀⠈⠉⠉⠁⠀⠀⠀⣛⢭⣿⣷⠸⣾⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⡆⠀⠐⠒⠒⠒⠂⠤⢤⡒⡚⣻⣹⢿⣃⣠⠇⠀⢀⠀⠀ ⠀⠀⠀⣵⡄⠘⢦⡀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠋⢉⣽⠏⠀⠰⠋⠢⡀ ⠀⢠⠀⠘⡆⠀⠀⠑⠦⣄⣀⣀⣀⠀⠀⠀⣀⡠⠚⠁⠀⠀⠀⠀⡤⢼ ⠈⠻⠽⣢⠇⠀⠀⠀⠀⠀⠉⠉⠉⠋⠉⠉⠀⠀⠀⠀⠀⠀⠀⠻⠇⠉ ⠀⠀⠀⠁⠀⠀⠀⠀⣤⣤⣤⣄⠀⠀⠀⠀⢰⣿⣷⣶⡄⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⡿⣿⣿⣿⠀⠀⠀⠀⡘⢻⠽⢿⣄⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣠⠁⠫⠑⠚⠓⣤⡀⠰⣧⡈⠒⠋⠉⢹⣶⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠩⢗⠀⠀⠒⣒⣿⠷⠀⠉⠫⠀⠨⠭⠽⠛⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡤⠔⠒⠋⠉⠉⠉⠉⠉⠉⠉⠉⠒⠦⢤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣀⠔⠊⠁⠀⠀⣰⣦⣴⣶⣶⣶⣤⣤⠀⠀⠀⠀⠀⢀⡉⢳⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⡠⠊⠁⠀⠀⠀⠀⠀⠸⠿⠿⠿⠿⠛⠛⠉⠀⠀⠀⠀⠀⡸⣿⣿⣿⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⠞⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠛⢷⡀⠀⠀⠀⠀⠀ ⠀⠀⠀⣰⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⣄⠀⠀⠀⠀⠀⠀⠀⠠⣆⠀⠹⡄⠀⠀⠀⠀ ⠀⠀⠰⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣧⠀⠀⠀⠀⠀⠀⠀⠹⣧⠀⠙⣆⠀⠀⠀ ⠀⢠⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⠤⠖⠒⣻⣿⣿⣿⡛⠛⠲⣿⣀⠴⠶⠶⣶⣤⣤⣤⣿⡆⠀⢹⡆⠀⠀ ⠀⡜⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠺⣅⠀⠀⠀⣶⣿⣿⣿⣿⣿⠀⢠⣿⣧⠀⠀⣴⣿⣿⣿⡇⣿⣧⠀⠀⢿⠀⠀ ⢀⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠒⠦⠬⠿⠿⠿⠿⠏⠐⣛⡥⠉⠓⠾⢿⣿⣿⣿⣧⣿⡿⠀⠀⢸⡆⠀ ⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⣨⠷⠛⣿⠇⠀⠀⢼⡇⠀ ⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠀⠀⠋⠀⠀⠀⣸⡇⠀ ⢸⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⡇⠀ ⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣀⣀⣀⣠⣤⣄⣠⡀⣀⣠⣄⠀⠀⠀⢻⠇⠀ ⠀⢻⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠙⠛⠛⠛⠛⠛⠉⠉⢀⡴⠛⢯⣿⠛⠙⡿⠦⣭⣠⡀⠀⣼⠀⠀ ⠀⠘⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣤⡞⠀⠀⣼⠁⠀⢰⣀⡄⠈⠻⣷⢼⡇⠀⠀ ⠀⠀⠸⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢻⣿⠃⠀⢸⠇⠀⠀⣸⠏⠀⢀⣾⠁⠀⠹⡄⠀ ⠀⠀⠀⠹⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⣿⠀⠀⣿⠀⠀⣴⡏⠀⠀⣾⣿⠷⣶⠾⣧⠀ ⠀⠀⠀⠀⠈⢿⣶⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢈⣿⠆⠀⠟⠀⠀⠿⠓⢠⡄⣿⠙⢷⣴⣶⡿⠀ ⠀⠀⠀⠀⠀⠀⠙⢿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⠀⠀⠀⠀⠀⠀⠀⠈⠀⣿⠆⠀⠀⣼⡃⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠙⠻⣿⣤⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡆⠀⠀⠀⠀⠀⠀⠀⢸⣿⡄⠀⠀⠘⣧⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠻⠿⢿⣷⣶⣶⣶⣶⣶⣦⣤⣼⣧⠀⠀⠀⠀⠀⠀⢀⣿⠀⣇⠀⠀⠀⢸⡄ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠉⠁⠀⠀⠘⡄⠀⠀⠀⣀⣤⡿⠛⢧⣹⣦⣀⣴⣾⣇ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣏⣀⣀⣈⣉⣿⠆⠀⠀⠿⣍⣉⡩⠴⠛ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⡀⠀⠀
💩👖🍓( ꩜ ᯅ ꩜;) i just shit myself emojicombo
(👁ˋ _ ˊ 👁)
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⠟⡙⠛⠷ ⢸⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡯⡸⡰⠘⣂ ⠘⠉⠉⠳⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣷⡑⣱⠟⠋ ⠀⠀⠀⠀⣿⡌⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⣏⠀⠆ ⠀⠀⢀⣠⣿⣄⡀⠀⠀⠀⣠⡶⠾⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⡹⣆⠆ ⠀⣰⡿⠋⠁⠁⠙⢧⡄⣰⠏⠀⢂⢻⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⠂⠀⠀⢀⣀⡀⢹⣷⣦⣁⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⠁⣿⡴ ⢰⡟⠁⢆⠀⠀⡄⠘⣇⣿⡀⠒⢘⣾⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⣟⣤⣶⡶⠾⠛⠃⠘⠙⠿⠿⣷⣶⣦⣤⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣴⠶⢶⣄⠀⠀⠀⠀⣿⣰⠟⠁ ⢸⠀⠀⠀⢠⠀⣇⢃⡿⠁⠈⣧⣾⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣈⣉⣍⡈⠁⠀⠀⠀⠀⠀⡀⠀⠀⠁⣠⠦⠏⣉⣁⣉⠙⠲⢤⡀⠀⠀⠀⠀⠀⠰⣿⡐⡶⣀⠸⣇⠀⠄⣸⢳⡏⠀⠀ ⢸⠀⠀⠀⢰⡞⠛⠙⠃⠃⣠⣾⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣷⣿⣿⣿⣿⣿⣿⣦⡀⢠⠀⠀⠀⠀⠂⠀⢺⠟⣠⣾⡿⠿⢿⣿⣶⣄⡙⠓⠀⠀⠀⠀⠁⠘⢷⣄⠢⡁⣿⠀⢰⡿⠸⠷⣌⣄ ⢸⡆⠁⠀⣼⠃⠀⠀⠀⠈⢹⡟⠘⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠀⣴⣿⠏⠁⠀⠈⣿⣿⣿⣿⣿⣷⠐⢁⠀⠀⠀⠀⢠⡣⢰⣿⡏⠀⠀⠀⣻⣿⣿⣿⣶⣄⠀⡀⠀⠀⠀⠀⢻⣦⠉⢼⣤⣟⠀⠀⠀⣼⠏ ⠀⢷⡰⠀⠙⠀⠐⡄⠀⠀⢸⡇⠰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣶⡏⢸⣿⣿⣷⣤⣤⣴⣿⣿⣿⣿⣿⣿⠀⢺⠀⠀⠀⠐⡎⡇⢾⣿⣿⣶⣶⣾⣿⡿⢿⣿⣿⣿⣧⠘⣆⠀⠀⠀⠀⢷⠂⠦⠉⠄⠒⠀⢀⠏⠀ ⠀⠸⣇⠣⠈⠀⡃⢰⡙⠤⠈⡟⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⣿⢡⣇⣹⣿⣿⣿⣿⣿⣿⡋⢉⣿⣿⣿⡟⣀⠆⠀⠀⢀⣈⣥⣇⢸⣿⣿⣿⣿⣿⣯⡀⣀⣽⣿⣿⡿⣠⣹⡄⠠⠀⠀⣿⠻⣼⠟⠂⠀⠀⠉⠠⠀ ⠀⠀⢻⡦⢄⢣⠘⡠⠻⣦⠀⢻⠀⡃⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⠟⢧⡜⣿⣿⣉⡙⠛⠿⠿⣿⢿⡿⠿⣻⡻⣉⣶⢛⣬⣶⣾⣿⣿⣿⣿⡯⢍⠛⠻⠿⠿⣿⠿⢿⣛⡋⣉⠰⣻⣇⢻⠨⠀⠀⠸⣇⡿⠀⠀⠀⠀⠀⠀⣀ ⠀⠀⠀⠹⣦⡂⢦⠑⠄⢉⣧⣼⡇⠁⠀⠀⠀⠀⠀⠀⠀⢠⣾⠫⢬⠙⣤⣾⢿⣦⣱⢋⣳⣽⡬⠷⣬⠷⠖⣻⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣼⣱⣚⣝⣬⣯⢦⣭⣖⣡⡧⣾⣿⠸⡧⠀⠀⠀⠙⣿⡄⠀⣀⠄⣠⡾⠋ ⠀⠀⠀⠀⠙⠳⣦⡸⠤⠄⣹⡏⠁⠀⠀⠀⠀⠀⠀⠀⢀⣿⠫⠼⢇⣾⡿⠁⠊⢙⠟⠛⠋⠥⠀⠑⢂⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣐⠂⠒⠭⣛⠻⠿⢡⡄⣗⠀⠀⠀⠀⠘⠳⠬⠴⠞⡋⠀⠀ ⠀⠀⠀⠀⠀⠁⠒⠉⠛⠺⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⣸⡏⣒⠀⠀⠐⠤⠀⠀⠀⠀⠀⠀⠀⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠐⡬⣹⣦⡛⡄⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠂⠀⠀⠀⠀⠀⠀⠀⠐⢠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⣤⢰⣿⡛⣿⡀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⣩⣰⣿⡏⢲⣙⣧⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⡧⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠛⣼⠟⠀⣐⣮⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⡀⠀⠀⠀⠀⢠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⠉⣿⡡⠖⣭⣙⢾⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠎⢽⣷⢏⡔⢫⣾⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣹⡆⠀⠀⠀⡀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠠⡜⢿⣾⣾⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣧⡸⣌⡴⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⠀⠀⢋⣿⠅⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⡆⢋⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⢾⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⡖⢨⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⢰⣿⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢺⣧⠐⠛⠿⠿⠿⠿⠛⠋⠉⠉⠉⠉⠉⠛⠛⠛⠿⢿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⣸⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣄⣀⣤⣤⡶⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠁⠉⠉⠙⠛⠋⠛⠛⠿⣿⣿⣿⣿⣿⣿⣿⠃⣻⡗⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠙⢿⣯⣐⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠻⢿⠿⢟⡫⢤⣿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠙⠷⣶⡶⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣶⡿⠶⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠛⠶⣭⣄⡂⢤⢄⡀⠀⠀⠀⠀⠀⠀⣀⡄⠲⣑⣾⡿⠟⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠛⠚⠲⠮⠶⣯⣭⠭⠿⠿⠿⠛⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
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⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣤⣤⣤⣤⣤⣤⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣴⣶⣿⠿⠟⠛⠛⠋⠉⠉⠉⠛⠛⠻⠿⢿⣷⣦⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣶⡿⠟⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠿⣷⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢀⣴⣿⠟⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⢿⣷⣄⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⣴⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣷⡄⠀⠀⠀⠀ ⠀⠀⠀⢠⣿⡟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⣿⣆⠀⠀⠀ ⠀⠀⣰⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣧⠀⠀ ⠀⢠⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣧⠀ ⠀⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⠀⢹⣿⡆ ⢸⣿⠃⠀⠀⠀⠀⣠⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣄⠀⠀⡈⠀⠀⣿⣧ ⣾⣿⠀⠀⠀⠀⠀⠉⠛⢻⣿⣿⣿⣿⣿⣿⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⢻⣿⣿⣿⣿⣿⡟⠛⠋⠀⠀⡇⠀⠀⢸⣿ ⣿⣿⠀⠀⠀⠀⠀⠀⠀⠘⢿⣿⣿⣿⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢿⣿⣿⣿⣿⠇⠀⠀⠀⡸⠀⠀⠀⢸⣿ ⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠙⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠀⠀⠀⠀⢠⠃⠀⠀⠀⢸⣿ ⢸⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⡄⠀⠀⠀⠀⠀⠀⠀⢠⠏⠀⠀⠀⠀⣾⡿ ⠈⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠁⠀⠀⠀⠀⠀⠀⢠⠏⠀⠀⠀⠀⢰⣿⠇ ⠀⠸⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡴⠃⠀⠀⠀⠀⢠⣿⡟⠀ ⠀⠀⠹⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡠⠊⠀⠀⠀⠀⠀⢠⣾⡟⠀⠀ ⠀⠀⠀⠙⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡴⠊⠀⠀⠀⠀⠀⠀⣠⣿⠟⠀⠀⠀ ⠀⠀⠀⠀⠈⢻⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠁⠀⠀⠀⠀⠀⠀⣠⣾⡿⠋⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠙⢿⣷⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⡿⠋⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⢿⣶⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣶⣿⠟⠋⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠻⢿⣷⣶⣤⣤⣄⣀⣀⣀⣀⣀⣤⣤⣴⣶⣿⠿⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠙⠛⠛⠛⠛⠛⠛⠛⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣤⣀⡀⠀⠀⠀⡀⢀⣠⣀⡄⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢀⣵⡶⢶⣶⣦⣄⣠⠀⠀⡀⠀⠀⠀⠀⠀⢀⣠⣾⣿⢿⡿⣿⣦⣤⣶⡿⠟⠛⠛⢿⣆⠄⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣀⣿⠋⠀⠀⠀⠈⠙⠻⠿⣿⠿⠿⠿⠿⠿⠿⣿⣿⡿⣯⢿⣽⣻⢿⣿⠁⠀⠀⠀⠀⠈⣿⣀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢺⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣽⢻⣿⣿⣿⣿⣿⣿⣶⣦⢠⣤⣤⣿⣯⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣸⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣷⣻⢿⣿⣿⣿⡿⣯⣟⡿⣿⣿⣿⢿⡿⣿⣷⡀⠀⠀⠀ ⠀⠀⠀⠀⠀⠙⣿⡾⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣾⣯⣟⣿⣿⣿⣽⣷⣻⣽⣿⣿⣿⣿⣻⣽⣿⠁⠀⠀⠀ ⠀⠀⠀⠀⠀⣰⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠛⠉⠉⠙⠿⠾⠿⣾⣿⣿⣿⡿⣽⣾⢏⠁⠀⠀⠀ ⠀⠀⠀⠀⢤⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣿⣾⣽⡿⣿⣀⠀⠀⠀⠀ ⠀⠀⠀⠀⣾⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠀⢻⡇⠀⠀⠀⠀ ⣀⣀⣄⣀⣿⣇⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⡴⣾⣿⡶⢶⡶⢆ ⠚⠉⠉⠙⢻⡏⠉⠉⠀⠀⠀⢠⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣷⠀⠀⠀⠀⠀⠀⢸⡇⠂⠀⠀⠀ ⠀⠀⠀⢠⣺⣿⣤⣤⠀⠀⠀⠈⠻⠟⠀⠀⠀⠀⠀⠀⣀⣤⣤⣄⠀⠀⠀⠀⠀⠘⠻⠋⠀⠀⠀⠀⠐⢳⣿⠷⡾⠦⠔⠀ ⠀⠀⠘⠋⠙⠹⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣄⣠⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣼⣏⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣸⣿⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢈⣿⣿⣿⣎⡀⠀⠀⠀ ⠀⠀⠀⢠⣴⠿⠋⠉⠙⢿⣦⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣴⢿⠏⠀⠀⠈⠙⠃⠀⠀ ⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠈⠹⣻⣷⣶⣤⣤⣤⣀⣀⣀⣀⣀⣀⣀⣀⣀⣤⣤⣤⣶⣾⠟⡫⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⡀⢀⣴⡾⠛⣹⣿⣿⣿⣿⣿⠉⠉⠉⠉⠉⠉⢩⣿⣿⣿⣿⣯⠙⠻⣾⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⣨⡾⠟⠟⠻⣷⣴⣿⣿⣿⣟⣿⣿⣧⣀⠀⠀⢀⣠⣿⣿⣿⣟⣿⣿⣧⣴⡿⠛⠻⢷⣆⠄⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢠⢿⡅⠀⠀⠀⢸⣿⣿⣿⣟⣾⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣯⣿⣟⣿⣿⡇⠀⠀⠀⢠⣿⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠈⣿⡇⠀⠀⠀⣾⣿⣿⢿⣾⣿⣽⡿⣯⣿⣟⣿⣿⣻⣿⣾⣟⣷⣿⣟⣿⣷⠀⠀⠀⢸⣿⡀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠘⢿⣦⣀⣸⣿⣿⡿⣿⣻⣾⣟⣿⣿⣽⣿⣻⣾⡿⣷⣿⣻⣿⣾⢿⣻⣿⣧⣠⣴⡿⠃⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠘⠉⢿⣿⣿⢿⣟⣿⣽⣿⣻⣾⢿⣾⣿⣷⣿⢿⣽⣿⣳⣿⡿⣿⣿⣿⠍⠁⠁⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⡟⠿⠿⠿⢿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠿⠿⠿⢿⣿⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠼⣷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠐⣿⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⠧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⢷⣦⣤⣤⣀⣤⣤⣤⣼⣿⣦⣤⣤⣠⣤⣤⣴⡶⠟⠁⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠈⠉⠉⠉⠉⠁⠀⠀⠀⠉⠉⠉⠉⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⣀⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠤⠒⠋⠉⠀⠀⠀⠀⠀⠀⠈⠉⠓⠲⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡠⠊⠁⠀⢀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣿⢷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⡠⠊⠀⠀⠀⠀⢼⣿⣿⣷⣦⣄⣀⡄⠀⣀⣤⣶⣿⣿⣿⠄⠙⢷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⡜⠁⠀⠀⠀⠀⠀⠀⠀⠉⠉⠙⢻⣿⡇⠀⠿⠟⠋⠉⠙⣿⣇⠀⠀⢻⡄⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢰⠁⠀⠀⠀⠀⠀⣀⣀⡀⠀⠀⠀⠀⢻⣿⠁⠀⠀⠀⠀⢠⣤⣿⣦⠀⠀⢻⡄⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢀⡇⠀⠀⠀⠀⠀⣜⠁⠀⠈⠑⣦⣄⣀⡎⢹⠀⠀⣀⣠⣼⡏⠁⢀⣿⡆⠀⠈⣷⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠘⣆⡀⠀⠀⠙⠛⣋⣽⣿⣿⣉⡙⠛⢋⣤⣶⣿⣽⡇⠀⠀⢹⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠻⣟⣶⣶⣒⣫⡽⠞⠋⠉⠛⠯⣽⣿⣾⣿⡾⣟⠀⣦⠀⢸⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠘⡆⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠀⠀⠀⠀⠀⠀⠀⠘⢉⣥⣶⣿⣿⡧⠹⣷⣾⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢣⠀⠀⠀⠀⠀⣀⣀⣀⣀⠀⠀⠀⠀⠀⠀⢀⣠⣴⣾⣿⣿⣿⣿⡿⠁⠀⣿⡏⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⡀⠀⠀⠘⣆⠀⠠⠈⠉⠀⠀⠀⠀⠉⠉⠑⠺⠿⣿⣉⣉⡇⣠⣷⣾⠿⢛⣡⣤⣴⡿⠀⠀⠀⣀⠀⠀⠀⠀ ⠀⠀⠀⠀⢈⣦⡀⠀⠘⣦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⣭⠽⠟⠛⠋⢉⣷⡿⠁⠀⢀⣾⠟⠳⣄⠀⠀ ⠀⠀⠀⠀⠘⣿⡟⠀⠀⠈⠻⣶⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⡿⠏⠀⠀⠀⠀⠹⠀⠀⠈⠳⣄ ⠀⢀⡀⠀⠀⠸⣇⠀⠀⠀⠀⠈⠻⢶⣤⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣠⠾⠋⠀⠀⠀⠀⠀⠀⢰⠀⣠⣶⡾⢿ ⠰⣼⣿⣲⣤⡀⣹⠀⠀⠀⠀⠀⠀⠀⠈⠙⠛⠻⠿⠿⠿⡷⠶⠶⠾⠛⠋⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣶⣿⡤⠧⠏ ⠀⠙⠛⠛⣱⡾⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠛⠁⠀⠀ ⠀⠀⠀⠀⠉⠀⠀⠀⠀⠀⠀⠀⠀⣠⣤⣤⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣶⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠨⣿⣿⣿⣿⣿⣿⡆⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡿⢿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⢸⠛⢻⣷⠿⠿⣿⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⠁⢸⡋⠋⠽⠽⢷⣤⣀⠀⠀⠀⢠⡏⡀⠘⢤⡸⠿⠛⠋⠙⣶⣦⡀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣋⠀⠀⠉⠀⠀⠀⠀⠀⢽⣷⡀⠀⠸⣝⠳⣄⠀⠀⠀⣀⣀⣠⣿⣿⣇⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢮⡓⠦⠤⠤⠤⠒⠒⠚⣻⣿⣷⠀⠀⠈⠙⢎⡉⣉⣁⣀⣀⡤⠶⠿⠟⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠒⠒⠒⠒⠒⠒⠛⠉⠉⠁⠀⠀⠀⠀⠀⠈⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀