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⬜⬛🟥🟥🟥🟥🟥🟥🟥🟥⬛🟥🟥🟥🟥🟥🟥⬛⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬛🟥🟥🟥⬛🟥🟥⬛⬜⬜⬜
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⠀⠀⠀⢀⣀⣤⣶⣾⣟⣿⣿⡍⢹⣿⣨⣿⠀⣿⣿⣀⣿⣷⣿⣿⣿⣿⣿⣿⣿⣾⠀⠀⠀⠀⠀
⢰⣶⣿⡿⠹⠿⣿⣿⠿⣿⡇⣀⣼⡏⢈⣿⣾⣿⣿⣿⣿⣿⡿⠿⠛⠛⠉⠉⠀⠀⠀⠀⠀⠀⠀
⢸⣿⠛⢉⣻⣷⣾⣿⣿⣿⣿⣿⢻⣽⣼⢛⣿⣿⠋⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
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⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡿⣷⡿⢻⡇⢹⣿⠿⣿⠁⠀⠀⠀⣿⣇⡏⠙⠢⢄⡀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣇⡹⠁⠈⡇⢸⣿⣄⡈⠳⣄⣀⣠⣿⣿⢿⠀⠀⠀⠙⣦⣄⡀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⠃⠀⢸⡃⢸⠙⠻⢿⣦⣈⢻⣿⢸⣿⠸⡆⠀⠀⠀⢸⡄⠁
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢼⣿⠀⠀⠀⡇⢸⠀⠀⢨⣿⣿⣿⡟⢸⣿⡄⠁⠀⠀⠀⠀⠁⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠀⠀⢠⣷⠈⠀⠀⢸⣿⣿⣿⣴⣾⣿⡇⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⡟⣿⣉⣿⣿⣿⣇⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢷⣾⡿⠁⠈⣿⠛⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠋⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀
⚪⚪⚪⚪⚪⚪⚪⚪⚪⚪⚪⚪⚪⚪⚫⚫⚫⚫⚫⚫⚫⚪⚪⚪⚪⚪⚪⚪⚪⚪⚪⚪⚪⚪⚪
⚪⚪⚪⚪⚪⚪⚪⚪⚪⚪⚪⚫⚫⚫🌸🌸🌸🌸🌸🌸🌸⚫⚫⚫⚪⚪⚪⚪⚪⚪⚪⚪⚪⚪⚪
⚪⚪⚪⚪⚪⚪⚪⚪⚪⚫⚫🌸🌸🌸🌸🌸🌸🌸🌸🌸🌸🌸🌸🌸⚫⚫⚪⚪⚪⚪⚪⚪⚪⚪⚪
⚪⚪⚪⚪⚪⚪⚪⚪⚫⚫🌸🌸🌸🌸🌸🌸🌸🌸🌸🌸🌸🌸🌸🌸🌸⚫⚫⚪⚪⚪⚪⚪⚪⚪⚪
⚪⚪⚪⚪⚪⚪⚪⚫⚫🌸🌸🌸🌸🌸🌸🌸🌸🌸🌸🌸🌸🌸🌸🌸🌸🌸⚫⚫⚪⚪⚪⚪⚪⚪⚪
⚪⚪⚪⚪⚪⚪⚫⚫🌸🌸🌸🌸🌸🌸🌸🌸🌸🌸🌸🌸🌸🌸🌸🌸🌸🌸🌸⚫⚪⚪⚪⚪⚪⚪⚪
⚪⚪⚪⚪⚪⚪⚫🌸🌸🌸🌸⚫⚫🌸🌸🌸🌸🌸🌸🌸⚫⚫🌸🌸🌸🌸🌸🌸⚫⚪⚪⚪⚪⚪⚪
⚪⚪⚪⚪⚪⚫🌸🌸🌸🌸⚫⚫⚫⚫🌸🌸🌸🌸🌸⚫⚫⚫⚫🌸🌸🌸🌸🌸⚫⚪⚪⚪⚪⚪⚪
⚪⚪⚪⚪⚪⚫🌸🌸🌸🌸⚫⚪⚪⚫🌸🌸🌸🌸🌸⚫⚪⚪⚫🌸🌸🌸🌸🌸🌸⚫⚪⚪⚪⚪⚪
⚪⚪⚪⚪⚫🌸🌸🌸🌸🌸⚫⚪⚪⚫🌸🌸🌸🌸🌸⚫⚪⚪⚫🌸🌸🌸🌸🌸🌸⚫⚫⚪⚪⚪⚪
⚪⚪⚪⚪⚫🌸🌸🌸🌸🌸⚫⚫⚫⚫🌸🌸🌸🌸🌸⚫⚫⚫⚫🌸🌸🌸🌸🌸🌸⚫🌸⚫⚪⚪⚪
⚪⚪⚪⚫⚫🌸🌸🌸🌸🌸⚫⚫🔵⚫🌸🌸🌸🌸🌸⚫⚫🔵⚫🌸🌸🌸🌸🌸🌸⚫🌸⚫⚫⚪⚪
⚪⚪⚫🌸⚫🌸🌸🌸🌸🌸⚫🔵🔵⚫🌸🌸🌸🌸🌸⚫🔵🔵⚫🌸🌸🌸🌸🌸🌸🌸🌸🌸🌸⚫⚪
⚪⚪⚫🌸🌸🔴🔴🔴🔴🌸⚫🔵🔵⚫🌸🌸🌸🌸🌸⚫🔵🔵⚫🌸🔴🔴🔴🔴🌸🌸🌸🌸🌸⚫⚪
⚪⚫🌸🌸🌸🔴🔴🔴🔴🌸🌸⚫⚫🌸🌸🌸🌸🌸🌸🌸⚫⚫🌸🌸🔴🔴🔴🔴🌸🌸🌸🌸🌸🌸⚫
⚪⚫🌸🌸🌸🌸🌸🌸🌸🌸🌸🌸🌸🌸⚫⚫⚫⚫⚫🌸🌸🌸🌸🌸🌸🌸🌸🌸🌸🌸🌸🌸🌸🌸⚫
⚫🌸🌸🌸🌸🌸🌸🌸🌸🌸🌸🌸🌸🌸⚫🌸⚫⚫⚫🌸🌸🌸🌸🌸🌸🌸🌸🌸🌸🌸🌸🌸🌸🌸⚫
⚫🌸🌸🌸🌸🌸🌸🌸🌸🌸🌸🌸🌸🌸⚫🌸🌸⚫⚫🌸🌸🌸🌸🌸🌸🌸🌸🌸🌸🌸🌸🌸🌸🌸⚫
⚫🌸🌸⚫⚫🌸🌸🌸🌸🌸🌸🌸🌸🌸🌸⚫⚫⚫🌸🌸🌸🌸🌸🌸🌸🌸🌸🌸🌸🌸⚫🌸⚫⚫⚪
⚫⚫🌸🌸⚫🌸🌸🌸🌸🌸🌸🌸🌸🌸🌸🌸🌸🌸🌸🌸🌸🌸🌸🌸🌸🌸🌸🌸🌸⚫⚫⚫⚫⚪⚪
⚪⚫⚫⚫⚫🌸🌸🌸🌸🌸🌸🌸🌸🌸🌸🌸🌸🌸🌸🌸🌸🌸🌸🌸🌸🌸🌸🌸🌸⚫⚪⚪⚪⚪⚪
⚪⚪⚪⚪⚪⚫🌸🌸🌸🌸🌸🌸🌸🌸🌸🌸🌸🌸🌸🌸🌸🌸🌸🌸🌸🌸🌸🌸⚫⚪⚪⚪⚪⚪⚪
⚪⚪⚪⚪⚪⚫🌸🌸🌸🌸🌸🌸🌸🌸🌸🌸🌸🌸🌸🌸🌸🌸🌸🌸🌸🌸🌸🌸⚫⚪⚪⚪⚪⚪⚪
⚪⚪⚪⚪⚪⚪⚫🌸🌸🌸🌸🌸🌸🌸🌸🌸🌸🌸🌸🌸🌸🌸🌸🌸🌸🌸🌸⚫⚫⚫⚫⚪⚪⚪⚪
⚪⚪⚪⚪⚪⚫⚫⚫🌸🌸🌸🌸🌸🌸🌸🌸🌸🌸🌸🌸🌸🌸🌸🌸🌸🌸🌸⚫🔴🔴🔴⚫⚪⚪⚪
⚪⚪⚪⚪⚫🔴🔴🔴⚫🌸🌸🌸🌸🌸🌸🌸🌸🌸🌸🌸🌸🌸🌸🌸🌸🌸⚫🔴🔴🔴🔴🔴⚫⚪⚪
⚪⚪⚪⚫🔴🔴🔴🔴🔴⚫🌸🌸🌸🌸🌸🌸🌸🌸🌸🌸🌸🌸🌸🌸🌸⚫🔴🔴🔴🔴🔴🔴🔴⚫⚪
⚪⚪⚫🔴🔴🔴🔴🔴🔴🔴⚫🌸🌸🌸🌸🌸🌸🌸🌸🌸🌸🌸🌸⚫⚫🔴🔴🔴🔴🔴🔴🔴🔴🔴⚫
⚪⚫🔴🔴🔴🔴🔴🔴🔴🔴🔴🔴⚫⚫⚫⚫⚫⚫⚫⚫⚫⚫🔴🔴🔴🔴🔴🔴🔴🔴🔴🔴🔴🔴⚫
⚪⚫🔴🔴🔴🔴🔴🔴🔴🔴🔴🔴🔴🔴🔴🔴⚫⚪⚪⚪⚪⚫🔴🔴🔴🔴🔴🔴🔴🔴🔴🔴🔴🔴⚫
⚪⚫🔴🔴🔴🔴🔴🔴🔴🔴🔴🔴🔴🔴🔴⚫⚪⚪⚪⚪⚪⚫⚫🔴🔴🔴🔴🔴🔴🔴🔴🔴🔴🔴⚫
⚪⚫⚫🔴🔴🔴🔴🔴🔴🔴🔴🔴🔴🔴⚫⚫⚪⚪⚪⚪⚪⚪⚪⚫🔴🔴🔴🔴🔴🔴🔴🔴🔴⚫⚪
⚪⚪⚫🔴🔴🔴🔴🔴🔴🔴🔴🔴🔴⚫⚫⚪⚪⚪⚪⚪⚪⚪⚪⚪⚫🔴🔴🔴🔴🔴🔴🔴⚫⚫⚪
⚪⚪⚪⚫⚫⚫⚫⚫⚫⚫⚫⚫⚫⚪⚪⚪⚪⚪⚪⚪⚪⚪⚪⚪⚪⚪⚫⚫⚫⚫⚫⚫⚪⚪⚪
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⠶⡿⢶⣦⣀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⢀⣀⣤⡤⠠⠴⣶⠖⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⣿⣽⣎⢷⣛⡷⣄⠀⠀⠀⠐⣀⣮⣴⠚⠉⢛⣯⣁⣀⣴⣾⡿⠞⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠻⠿⣷⣿⣷⣶⠛⣍⠹⢻⣷⣶⠚⢛⡿⠋⠀⠈⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠴⣒⢩⡉⠉⠁⠀⠀⣀⣚⣿⣦⣝⣋⣵⣿⡥⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⠷⣮⠷⠷⠶⠒⠛⠛⠋⠉⠁⠈⢸⣿⠋⠯⢗⣧⡙⠦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣠⡤⣤⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡨⢹⠠⣹⡮⣧⡄⢀⠘⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⡿⠃⠀⠀⠀⠀⠘⠻⣧⣄⠀⠀⠀⠀⠀⠀⠠⠃⢸⠀⢻⡿⣤⢻⡼⣿⣸⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣿⣋⣤⠞⣢⢞⡩⠍⠉⠙⢙⢿⣷⡀⠀⠀⠀⠴⠁⠀⠘⡀⠀⠙⢿⡄⠁⣿⡿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠒⠒⠒⠦⢄⡀⠀⠀⠀⠀⠀⠀⠀⣼⣿⡿⣫⣶⣻⠗⣩⣴⣾⠟⠛⠉⠻⢛⣿⡦⣀⠀⠠⢖⠒⢄⠆⠀⠀⠀⠉⠘⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠂⠀⠀⡀⠀⠀⠀⠀⢈⠙⠦⣄⠀⠀⢀⣼⣿⣿⠟⣷⣾⣷⣿⣿⣛⣤⣄⣠⣴⣾⡟⣯⢲⣸⣇⠀⠪⡃⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠘⡄⢀⡀⠀⠀⠉⠳⠤⢽⣲⣏⡙⢿⣇⣼⢿⣷⣿⣿⣿⣿⣿⣿⣿⣿⠟⣠⣿⣯⡿⣚⠀⠀⠈⠲⡷⠋⢁⠤⢄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⢣⠀⠀⢨⠣⣄⣀⣀⣠⣤⣾⡿⠿⢿⢛⣯⡟⢶⣶⣿⣿⣿⣿⠋⣰⣿⣷⣯⠾⣿⣿⣿⣧⠇⠀⠀⠀⠀⡃⠀⠀⠠⡦⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠡⡀⠀⢑⢠⠁⢠⠤⠤⠤⠶⣶⣶⣿⣿⣿⣶⡿⢟⣷⣿⣷⣾⠿⢿⣉⠶⡐⣸⣽⣷⠏⠀⠀⠀⠀⢀⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠁⠈⠻⣦⣤⠞⢶⠻⣶⣿⢿⣿⠿⣛⣉⣴⣿⣿⣽⢞⣿⠿⢩⡙⢃⠈⠙⣘⡿⠀⠀⠀⠀⠀⣸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠘⠒⠤⠄⢉⢻⣏⠉⠉⠉⢷⣤⣡⣴⣿⣿⣿⢫⡅⢎⡈⡄⣤⠉⠁⢀⣼⣿⠃⠀⠀⠀⠀⠸⡷⠋⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠠⣄⡀⠈⣈⣿⠿⢶⣺⡷⠿⠿⠟⡿⣶⣯⠾⡵⢦⣤⢼⣶⡿⣿⣿⡀⠀⠀⠀⠀⢰⠃⠀⠀⠀⠀⠀⠱⡄⢀⣠⣼⣿⣶⣾⣆⢻⡒⠆⠤⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠘⢆⠀⠀⠀⠀⠀⠀⠀⠀⠉⠭⠐⠃⠋⠉⠁⢤⡀⠀⠀⠁⠓⣾⡷⠆⠀⣸⣟⠷⢷⢹⣿⢧⠀⠀⢀⠀⣎⠀⠀⡄⠀⠀⠀⠀⣻⢶⣍⡛⢿⣭⣻⢿⣿⣷⣝⣦⣌⡳⣗⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠉⠒⠤⣄⣀⣀⣀⣀⢀⡀⠀⠀⢀⣢⣠⢤⣟⡾⣧⣤⠄⠀⠹⡄⠀⠃⠈⢦⡈⠀⠙⠲⠀⠀⠘⣿⣿⡄⠀⠛⢶⣶⣶⣿⣿⣷⣾⣿⣿⣾⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢏⠉⢛⣩⢟⣿⣹⡀⠀⠀⡑⢾⡀⠀⠀⠙⢦⡀⠀⠀⠀⢀⠏⢧⢇⠐⢤⣲⣶⣾⠟⣿⠄⡫⠿⣿⣿⣿⣿⣿⣿⣿⢿⡍⢿⡄⢿⡜⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠾⡖⠋⡱⢚⡿⡻⢿⣶⣶⣷⣾⢨⣢⢄⠀⠀⠙⠳⣴⣒⣾⡤⠀⠻⡄⠀⠈⢻⣅⠀⢀⠄⠳⣑⠆⡍⣛⢛⣿⣿⠏⠆⣿⢠⣿⢸⣿⣽⠆⠀⠀⠀⢀⣠⠤⠐⠀⠀⠀⢀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡼⢏⡴⠋⠠⠃⢸⠟⣿⣿⣿⠃⠈⢉⣭⠒⠶⠯⣍⡭⣝⠙⠀⠀⠹⣆⠀⠈⢧⠀⠈⠁⠀⢙⣾⢠⢛⣼⡿⣛⢨⢧⣿⣼⣻⣿⣿⣿⠀⢀⠴⠊⠁⠀⠀⠀⠀⠀⠀⠀⢱
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡴⠞⠋⠀⠈⢠⡿⣟⣀⡟⡆⢣⠀⣩⠝⢢⣤⠞⠀⠀⠀⡸⠑⠀⠀⠀⠀⠀⠈⠿⣄⡈⠦⡐⠃⣀⡙⠉⢆⣹⣿⣱⣷⣿⣿⣧⣿⣿⣿⣿⡟⠊⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡼
⠀⠀⠀⢸⡓⠄⣴⣳⢤⡤⠒⠓⠈⠀⠀⠀⠀⠀⠀⠀⢀⡏⠁⠳⠸⠿⠟⠂⠁⠋⠀⠀⠀⣴⠃⠀⠀⠀⠀⠀⠀⠀⠀⠘⠪⢦⣙⢲⣽⣏⡟⣮⣿⣵⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠔⠁⠀
⠀⠀⢠⡟⣠⡞⢫⠴⠈⠃⠀⠀⠀⠀⠀⠀⠀⠀⢀⣔⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢈⡛⣏⣩⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠏⠠⠀⠀⠀⠀⠀⢀⡀⠄⠐⠈⠀⠀⠀⠀
⠀⠀⣾⡿⣅⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⢔⠣⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠋⠙⠉⢻⣽⣏⣛⠻⠟⠋⣭⢧⣀⡄⠀⠀⠄⠒⠂⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⢻⡻⡹⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡖⠃⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡤⠤⠀⠈⢹⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣀⠒⡿⠃⢛⣬⣉⣲⡿⢮⡴⣌⣁⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠉⠁⢠⢴⠢⣄⣠⣤⠰⠒⠉⣠⠷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⢄⠀⠀⠀⢈⡖⠀⠀⠀⠀⠀⠀⠀⠀⢠⢄⡀⠀⠀⢏⣌⣠⠴⢺⣿⣿⣿⣛⠷⢸⣼⠋⢉⠑⠉⠓⠢⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠸⣜⠀⢿⡸⡧⢤⢒⠏⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠾⠭⠳⢤⡰⠁⠘⠦⢀⢀⣀⠀⠀⠀⣀⣏⠈⣙⠞⡡⢿⣶⣦⣾⢿⣭⣽⢭⣍⣛⢳⡇⠀⠀⠉⠑⠒⠦⠴⠢⠤⠤⠤⠤⠤⠄⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠉⠓⠙⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠀⠀⠀⠀⢹⡟⠒⢠⣤⣤⣬⡞⢡⣾⡖⠚⢻⣿⣿⣧⢹⣧⢢⡌⣼⣿⡅⠀⠀⠀⠀⠀⠀⢠⡖⠀⢠⣤⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠒⠉⢷⠶⠫⣴⣟⡋⠴⢶⡞⣉⣾⡏⡄⢋⡳⡴⢻⠋⠈⠁⠑⠒⠂⣄⠀⠈⣉⣿⣥⣄⠀⢀⡀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢮⣙⣶⣻⣔⣼⠋⣭⣿⠞⠙⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠯⢀⠊⢻⣆⠀⢱⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⠒⠙⠋⠹⡂⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⠀⠙⣷⡀⢇⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⡕⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢳⣀⣼⣷⢸⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠢⡑⢄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⣯⣿⡣⠎⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠢⡑⠤⣀⠀⠀⠀⠀⠀⢀⣤⠲⣤⠀⠁⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢐⣿⡁⠂⠀⠐⠈⢉⣿⢰⢯⠂⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣐⠏⠉⠉⠓⠶⠦⠼⠿⠛⠋⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠅⣼⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣷⣄⠀⠀⠀⠀⢀⣴⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⡿⢻⡿⣦⠀⠀⢰⣿⡿⣿⢷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⢠⡿⠹⠷⠾⠟⠻⠛⠲⠿⢿⣤⣼⡯⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⣰⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⢀⡟⠀⣠⣶⣄⠀⠀⠀⠀⠀⣀⣄⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⢸⡇⠀⢹⡿⠏⠀⣀⠀⠀⢸⣿⣿⠇⠀⠀⢠⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠈⣷⡀⠀⠀⠀⠾⠿⣷⡄⠀⠉⠁⠀⠀⣠⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠙⣿⣦⣄⣀⣀⡀⠀⠀⢀⣀⣠⣴⠞⣿⣿⣁⣀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⢀⣴⠟⠋⢻⣏⣉⣛⣽⡿⠛⣿⡇⣀⣀⣛⣷⣤⡭⠟⢶⣄⠀⠀⠀⠀⠀
⠀⠀⠀⠀⢀⣴⢻⣿⣳⣄⣾⠟⠛⢻⣯⢀⣀⣿⡿⠟⠉⠉⠉⢳⡄⠀⠀⠙⢧⡀⠀⠀⠀
⠀⠀⠀⢀⡾⠁⠈⠛⢻⠟⢋⣠⠀⠘⠿⣿⡿⠟⠀⠀⢀⡀⠀⠀⢻⡀⠀⠀⠈⢷⠀⠀⠀
⠀⠀⠀⣸⠃⠀⠀⢀⡟⣴⢞⣽⣷⠀⠀⢸⠃⠀⠀⢠⣟⣿⣦⡀⠀⣧⠀⠀⠀⢸⡇⠀⠀
⠀⠀⠀⡟⠀⠀⠀⢸⢿⣡⣿⣿⣿⡇⠀⣾⡀⠀⢠⡟⣾⣿⣿⣿⡆⢸⠀⠀⠀⠀⣿⠀⠀
⠀⠀⠀⣧⠀⠀⠀⢸⠀⠉⠉⠉⠉⢡⡾⣿⣷⡄⠈⠛⠛⠛⠛⠉⠁⢸⠀⠀⢀⣴⡇⠀⠀
⠀⠀⠀⢻⡀⠒⠤⢼⠀⢰⣶⣶⡄⠈⣛⣿⣛⣁⡀⠀⣶⣿⡆⠀⠀⣼⠠⠖⠉⣽⣁⡀⠀
⠀⣠⣴⣾⣷⡀⠀⠸⣇⠸⣿⣿⣷⣶⣿⣿⣿⣿⣷⣾⣿⡿⠃⢀⣤⣿⠾⢷⣾⢟⣉⣿⠆
⠀⣻⣷⡟⢻⣿⣦⣄⣹⣆⠈⠛⠻⠿⠿⠿⣿⡿⠿⠟⠋⠁⢰⡟⠙⠏⣸⣀⡵⠛⡾⣿⣄
⢸⣏⣻⣿⣯⣵⢋⣍⡭⣹⠷⢤⣄⣀⣀⣤⠼⠷⣤⣤⣤⡤⢿⡀⣠⡴⠟⢻⣿⣿⣿⡿⠃
⠈⠉⠉⠁⠛⠓⠛⠻⠟⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠒⠛⠷⣬⣙⡓⢒⣹⣿⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠉⠀⠀⠀⠀
⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛
⬛⬛🔴🔴🔴🔴⬛🔴⬛⬛🔴⬛🔴🔴🔴🔴⬛⬛
⬛⬛🔴⬛⬛⬛⬛🔴⬛⬛🔴⬛🔴⬛⬛⬛⬛⬛
⬛⬛🔴🔴🔴🔴⬛🔴⬛⬛🔴⬛🔴🔴🔴🔴⬛⬛
⬛⬛⬛⬛⬛🔴⬛🔴⬛⬛🔴⬛⬛⬛⬛🔴⬛⬛
⬛⬛🔴🔴🔴🔴⬛⬛🔴🔴⬛⬛🔴🔴🔴🔴⬛⬛
⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛
ඞ ඞා ඩ ඩා ධ ධා ඣ ඣා ඞ් ඞා් ඩ් ඩා් ධ් ධා් ඣ් ඣා් ඩා ඞු ඩු ධු ඣු ඞෙ ඞාෙ ඩෙ ඩාෙ ධෙ ධාෙ ඣෙ ඣාෙ