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⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬛⬛⬛⬛⬛⬛⬜⬜⬜⬜⬜
⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬛⬛⬛🟩🟩🟩🟩🟩🟩⬛⬜⬜⬜⬜
⬜⬜⬜⬜⬜⬜⬜⬜⬛⬛🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩⬛⬜⬜⬜
⬜⬜⬜⬜⬜⬜⬛⬛🟩🟩🟩🟩🟩🟩🟩⬛⬛⬛⬛🟩🟩⬛⬜⬜
⬜⬜⬜⬜⬜⬛🟩🟩🟩🟩🟩🟩🟩🟩⬛⬜⬛⬛⬜⬛🟩🟩⬛⬜
⬜⬜⬜⬜⬛🟩🟩🟩🟩🟩🟩🟩🟩🟩⬛⬛⬛⬛⬛⬛🟩⬛🟩⬛
⬜⬜⬜⬛🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩⬛⬛⬛⬛🟩🟩🟩🟩⬛
⬜⬜⬛🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩⬛⬛⬛⬛
⬜⬛🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩⬛⬛
⬜⬛🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩⬛⬜⬜
⬜⬛🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩⬛⬜⬜⬜
⬛🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩⬛🟩🟩🟩🟩⬛⬛⬜⬜⬜
⬛🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩⬛🟩🟩🟩🟩⬛🟩⬛⬜⬜⬜
⬛🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩⬛🟩🟩🟩⬛🟩🟩⬛⬛⬜⬜
⬜⬛🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩⬛🟩🟩🟩🟩🟩🟩⬛🟩⬛⬜
⬜⬜⬛🟩🟩🟩🟩🟩🟩🟩⬛⬛⬛⬛🟩🟩🟩🟩🟩⬛🟩⬛🟩⬛
⬜⬜⬜⬛🟩🟩🟩🟩🟩🟩🟩⬛🟩🟩⬛🟩🟩🟩⬛⬛⬛⬛⬛⬛
⬜⬜⬜⬜⬛🟩🟩🟩⬛⬛⬛🟩⬛🟩⬛🟩🟩🟩🟩🟩🟩⬛🟩⬛
⬜⬜⬜⬜⬜⬛🟩🟩🟩🟩🟩⬛⬛🟩⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛
⬜⬜⬜⬜⬜⬜⬛⬛⬛⬛⬛⬛⬛⬛⬛⬜⬜⬜⬜⬜⬜⬜⬜⬜
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠤⠀⠀⠀⠚⠉⠀⣀⣀⡀⠈⠑⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠞⠁⢀⡠⢤⣄⡀⣴⡿⡷⢤⣿⢦⠀⠸⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡎⠀⢰⣿⠋⠉⠙⠻⠋⠀⠧⠼⠋⣾⡄⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⢻⢧⠀⠀⠀⠀⠀⠀⠀⠀⡼⡼⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠱⡀⠈⠣⣓⢤⣀⡀⠀⠀⢀⣞⡽⠁⠀⠀⠀⣀⣀⡀⠀⠀⣀⣀⣀⣀⠀⠈⢦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠑⢄⡀⠈⠙⠒⠯⠭⣓⣫⠞⠀⠀⠀⡴⣫⠔⠒⠺⢷⣮⣷⠶⣝⢦⣳⠀⠘⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⡩⠷⠦⠀⠀⢀⣠⣤⣤⣀⠀⢰⠁⡇⠀⠀⠀⠀⢙⣥⣶⠾⠶⣾⣄⠀⠙⠂⠀⠀⠀⠀⠀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⢀⡠⠔⠊⠉⠀⣀⣀⣤⣤⣴⣿⣭⣅⣉⠙⢷⡌⢧⢳⡀⠀⠀⢠⣿⠋⠀⢀⣀⣈⣿⣦⣤⣤⣤⣤⣤⣄⣀⠀⠉⠓⠢⢄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⢀⡤⠒⠉⠀⣀⣴⠶⠟⠛⠉⠉⠉⠉⠉⠉⠉⠛⠿⣾⣿⡈⠳⣝⣦⣀⣿⡇⣠⣼⡿⠛⠋⠉⠀⠀⠀⠀⠀⠈⠉⠙⠻⢶⣤⡀⠀⠑⢦⡀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⡰⠋⠀⣠⣴⠟⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣦⡀⠉⠛⣿⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣦⣄⠀⠙⢄⠀⠀⠀⠀⠀⠀
⠠⠔⠊⠉⠀⢀⣾⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣿⣤⣴⡿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣧⡀⠈⢧⠀⠀⠀⠀⠀
⠀⢀⣴⡶⠷⠾⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣴⠄⡤⠊⠻⣧⠀⢶⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣷⡀⠀⠉⠈⠉⠢⣄
⢠⣿⠃⠀⢀⣀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠀⣿⠋⠀⢸⠀⠀⠀⢻⡇⠀⢹⡆⠀⣶⣶⠀⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⠟⠛⢷⣦⠀⠈
⢸⡏⠀⢰⣏⢹⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠛⢿⣀⣴⣆⠀⠘⢆⡀⠀⢸⡇⠀⠈⣿⠀⠛⡿⠋⠱⣦⣄⠹⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣧⣄⠀⢹⣧⠀
⢸⣷⡀⠀⠙⠿⠇⠀⠀⠀⠀⠀⠀⠀⢠⣶⡿⠛⠛⠀⣴⣴⠾⠉⠁⢹⡆⠀⠀⠉⠁⣾⠇⠀⢀⡟⠀⡼⠁⠀⣴⠏⠈⠀⡇⣶⣶⡄⠀⠀⠀⡴⣄⠀⠀⢸⣇⣿⠀⢨⣿⠀
⠀⠙⢿⣦⣤⣤⣤⡴⠀⠀⠀⠀⠀⠀⢈⠵⠒⠢⢄⠀⠸⣧⠀⠀⠀⢸⡇⠀⠀⠀⣼⡟⠀⠀⠸⠃⠀⡇⠺⠛⣧⠀⢀⡼⠀⠙⠉⠀⠀⠀⢸⡁⣼⠀⠀⣸⡏⢁⣠⣾⠏⠀
⠠⣀⠀⠘⣿⡅⠀⠀⠀⠀⠀⠀⠀⢠⠃⠀⠀⠀⠀⢳⠀⠘⠷⣧⣤⡾⠁⠀⢀⣾⣿⡀⠀⠀⠀⠀⠀⠙⠦⣤⡭⠴⠋⠀⠀⠀⠀⠀⠀⠀⠀⠉⠁⠀⢠⣿⠟⠛⠛⠁⠀⡀
⠀⠈⢆⠀⠹⣿⣄⠀⠀⠀⠀⠀⠀⠘⢆⠀⠀⠀⢀⠞⠀⠀⠀⠀⠀⠀⢀⣠⣿⣯⣿⣷⣶⣶⣦⣤⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣾⠃⠀⣠⠤⠒⠋⠀
⠀⠀⠈⢆⠀⠘⢿⣦⣄⠀⠀⠀⠀⠀⠀⠉⠒⠊⠉⠀⠀⠀⠀⢠⠶⠛⠛⠋⠉⠁⠀⠀⠀⠀⠀⠨⠿⢿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⡿⠃⠀⡰⠁⠀⠀⠀⠀
⠀⠀⠀⠀⠳⣄⠀⠉⠛⠿⣷⣶⣤⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⢾⣿⠀⢀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣴⣾⠟⠁⢀⡜⠁⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠈⠑⠢⠤⣀⡀⠈⠉⢹⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣠⣴⡿⠃⠀⠈⠙⢻⣿⣿⠿⠿⠿⠛⠛⠋⠀⢀⡤⠊⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⢀⡔⠃⠀⣀⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢾⡿⢿⠿⠟⠛⠛⠉⠁⣰⠀⠀⠀⠀⠀⠘⣷⠀⠀⡀⠀⠀⠒⠊⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⡼⠀⢠⣾⠟⠉⠛⠷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣷⠁⠀⠀⠀⠀⠀⢸⣿⠀⠀⠀⠀⠀⠀⣿⡆⠀⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⢻⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⡇⠀⠀⠀⠀⠀⠀⣾⣿⠀⠀⠀⠀⠀⠀⢻⣇⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⢸⡀⠈⢻⣷⣤⡤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⣟⡀⠀⠀⠀⠀⠀⠀⢹⣿⡆⠀⠀⠀⠀⠀⢸⣿⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⡜⠀⢀⣾⠋⠀⠀⠀⢀⣴⠀⠀⠀⠀⠀⠀⣰⡿⠛⠙⣿⠻⠄⠀⢠⣦⠀⠀⠈⢟⣿⣦⣶⠀⢶⣠⣿⠃⠀⡸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⢠⠇⠀⣾⠃⠀⠀⠀⠐⣸⠏⠀⠀⠀⠀⠀⢠⣿⠁⠀⠈⣿⠀⠀⠀⠈⢿⡆⠀⠀⠀⠙⠻⠛⠿⣿⡟⠁⢀⡴⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠘⡆⠀⢿⣦⣤⣤⣤⣤⣿⣤⣤⣤⣤⣤⣼⣼⡏⠀⠀⠠⣿⣤⣷⣤⣤⣼⣧⣦⣤⣶⣤⣤⣤⣤⣿⠃⠀⡎⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠳⣄⡀⠀⠉⠈⠉⠉⠉⠉⠉⠉⠉⠉⠉⠁⠀⣠⢤⡀⠀⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠀⢀⡼⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠒⣉⣉⠐⣲⣁⣠⣤⣤⣴⣶⣷⣭⣿⣤⣭⣛⣦⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⣀⣤⣶⣿⣿⠿⠿⠟⢻⣿⣿⣭⣭⡌⠠⢁⠊⡉⠍⠛⠛⠻⢿⣶⣦⣜⠲⢦⡀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣶⡿⢟⣏⣷⣬⣦⣭⣶⣬⣿⣟⠈⣻⣿⣷⣥⣦⣅⣆⣘⣀⢃⠡⢂⠬⡙⠻⣿⣮⣷⡤⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⢀⣤⣾⡿⢋⠐⣿⡿⠋⠛⣙⠋⠙⠻⣿⣿⣶⣿⣿⠉⠉⠙⠛⠛⠿⠿⠿⣿⢿⣷⣿⣷⣦⣝⢻⣷⣯⠄⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⢠⣴⣾⠿⢋⠐⡠⣿⡿⠁⣠⣼⣿⡇⠀⠀⣴⡆⠀⠹⣾⡄⠀⢠⣄⣀⣤⣽⣷⣶⣄⠀⠀⠈⢻⣿⡇⠜⣿⣷⡲⠄⠀⠀⠀
⠀⠀⠀⣠⢃⣼⡿⢟⡔⠠⢁⢲⣿⢃⣾⡟⠉⠻⠀⠀⠰⣿⠃⠀⣸⣿⣧⣠⣾⣿⠋⣿⣯⠀⢹⣿⠂⠀⠀⢸⣿⠧⣉⠔⡻⣷⡄⠠⠀⠀
⠀⠀⢀⢎⣿⡿⠁⢆⡘⠢⢡⣿⡏⠹⢿⠿⠿⠿⢷⣦⣸⣿⠀⢀⣿⡿⢿⡿⢿⣿⠁⣾⣷⣶⠿⠋⠀⠀⠀⠸⣿⡗⢨⠜⡰⢹⣿⡄⢀⠀
⠀⢀⣬⣾⡟⢡⠉⡔⢨⡑⣾⡿⠁⠀⢀⣄⣠⣴⣿⠟⠡⣿⠄⢸⠋⠀⠀⠀⢸⣿⣼⣿⠃⠀⣀⣦⡄⠀⠀⢸⣿⡇⠥⣊⠕⡣⢹⣿⡈⣧
⢠⡞⣼⡿⢁⠂⡩⠐⡠⢽⣿⠇⠀⠀⣠⣿⣿⡉⢴⣦⣤⣅⣀⣀⣀⣠⢀⠀⠘⠟⣻⢿⣠⣴⢿⣿⣾⣿⣿⣿⣿⢇⠓⣌⠎⡥⢃⢿⣷⡏
⣿⣻⣿⠅⡂⠆⡡⠃⢄⣻⣿⣲⣿⣿⣿⣷⣾⣿⣿⣿⡿⢿⠿⡿⢿⠿⡿⢿⣿⣿⣷⣾⣿⣶⣶⣿⣿⣭⣧⣿⣿⡎⡱⢌⠞⡰⣉⢚⣿⡿
⣿⣿⡏⠤⡁⢂⠡⡃⠄⣿⡛⣛⣯⣿⠿⠟⠛⢻⣿⣿⣿⣶⡔⣀⢂⠒⡐⢢⡐⠤⢀⠆⡠⠡⠌⡡⢉⢉⠩⣙⠩⡔⣑⠪⡜⡡⢆⡍⣿⡟
⣿⣿⡃⠄⠳⣀⠒⣡⣘⣦⣿⠟⠋⠁⠂⢚⣼⣿⡿⣯⢿⣿⣿⡆⣀⠣⢈⡁⣆⣼⣤⣮⣴⣁⢃⠰⠁⡌⢲⢡⡓⡜⢠⢓⠬⣑⠦⡘⣼⣿
⣿⣿⠄⡡⠃⢄⢳⣴⣿⠏⠀⠀⠀⠀⢀⢸⣿⣯⢿⣽⢿⣞⣿⣿⠀⡒⣤⣿⣿⡿⣿⢿⣿⣿⡿⣶⣥⣰⠡⢆⡱⢎⠰⣉⠒⡥⣒⢡⢻⣏
⡽⣿⡆⠤⠁⣼⣿⢟⠀⠀⠀⠀⠀⠀⢸⡸⣿⣯⣟⣞⣯⢾⣽⣿⢠⢙⣿⣿⢯⡿⣽⡿⣾⣿⡇⣾⣏⠻⣿⣶⡰⢌⡂⢄⢫⢔⡡⢆⣿⣏
⢣⢿⣗⠠⣹⣿⢡⡟⠀⠀⠀⠀⠀⠀⠈⢿⡽⣿⣞⣾⣞⣿⣿⡿⣆⢏⢿⣿⣯⣽⣳⣻⣽⣿⠻⣿⠈⠁⢹⣝⣿⣷⡌⠜⢢⠎⡱⢊⣿⡟
⢸⡜⣿⣅⣿⡇⢘⡁⠀⠀⠀⠀⠀⠀⠀⣀⠟⢜⣻⣿⣿⠿⣙⠷⣭⢚⡬⢛⢿⣷⣿⡿⣿⣙⣿⣿⣆⣠⣈⠹⢿⡿⣿⡎⠐⢂⡱⣻⡟⡇
⠈⢣⢻⣷⢻⣿⣴⡳⢦⡶⠴⣦⣴⣾⣭⣴⣾⠿⢛⡉⢄⠋⣜⠳⢌⠳⣈⠃⢂⡉⡉⠇⠻⢿⣾⣬⣿⡏⣹⢿⣿⣷⣿⣟⠰⣂⣽⡿⠁⠟
⠀⠀⠩⣿⣷⡈⠛⢿⢿⣾⡿⣿⡿⣛⢫⠭⡐⢌⠠⡐⠌⢒⡀⠊⠄⠃⢄⠊⣴⣿⡆⠡⡑⢦⢭⣙⠻⠿⢿⣷⣾⣿⣿⣏⠴⣱⣿⢃⡄⠀
⠀⠀⠀⠉⢿⣷⡝⣎⣿⢿⡹⡟⢧⢣⢣⠇⠱⠈⢆⡑⡈⠆⠠⣉⣔⣩⣦⣳⣿⡟⠠⠑⡌⢳⢎⡼⢫⣝⢣⣒⠻⣿⡞⣿⣱⣿⢣⠞⠀⠀
⠀⠀⠀⠀⠁⠛⣿⣦⡙⢦⢓⡹⢊⠇⠣⢌⠡⢈⠤⢀⡙⢿⣿⠿⠛⠿⡿⠟⠡⡀⡑⠌⡠⢁⢊⠜⡱⢊⠧⢌⠳⢹⣰⣿⡟⠑⠊⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠈⠿⣷⣆⠂⡌⢡⠈⠰⢌⠂⡅⠢⣁⠰⢀⠂⡡⠘⢠⠐⡈⠆⢡⠐⡡⢂⠡⠎⡜⣡⢋⡜⢢⣝⣶⡿⠃⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠩⠻⣿⣦⣁⢂⠑⠂⠌⠰⠁⢆⠢⡁⠎⡐⡁⠆⡡⢘⠈⡔⡈⢄⠣⣉⠚⢤⢡⢒⣬⣷⡟⠋⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠠⠙⠿⣿⣾⣬⣐⡡⠌⡀⠆⡐⢠⠑⡈⠔⡁⠢⢁⠢⡘⢄⠣⣔⣩⣶⣾⡿⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣙⡿⢿⣿⣶⣷⣬⣆⣖⣬⣰⣤⣣⣜⣦⣷⣾⣿⠾⣟⡋⠤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣈⣉⣳⠾⢏⣩⠭⣟⠟⣻⠟⣻⡭⣭⣽⣥⡎⣁⣄⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡴⠒⣛⣉⣉⣉⣹⣷⠄⠀⠀⠀⣴⠒⢦⠀⠀⠀⠀⣴⡟⣶⠀⠀⠀⢀⣤⠖⣞⣋⣉⣉⣉⣿⡶⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⡿⠀⣟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⢸⠀⠀⠀⠀⣿⡇⢻⠀⠀⠀⣿⡃⢾⡉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢦⣈⡛⠒⠦⠤⣄⣀⠀⠀⠀⠀⣿⠀⣼⠀⠀⠀⠀⢹⡇⢸⠀⠀⠀⠉⠳⣄⣙⠓⠲⠤⢤⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠙⠒⢤⠉⢧⠀⠀⠀⣿⠀⢷⠀⠀⠀⠀⣸⠇⣸⠀⠀⠀⠀⠀⠀⠀⠉⠉⠓⠢⡄⠙⡄⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡤⢤⣤⣤⣤⣤⣟⣁⡿⠀⠀⠀⠙⢧⡈⠳⠤⠤⠶⣋⣰⠏⠀⠀⠀⢀⣤⠤⣤⣤⣤⣤⠴⢋⣸⠇⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢙⣶⠞⠋⠉⠁⠀⠈⠉⠙⠲⣄⠀⠀⠀⠉⠙⠒⠒⠛⠉⠀⠀⠀⠀⢀⡼⠟⠉⠉⠀⠀⠈⠉⠛⠦⣄⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠳⡄⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡤⠖⠚⠉⠳⡄⠀⠀⠀⠀⠀⠀⣠⣴⣇⣀⡤⠴⠒⠛⠓⢦⡀⠀⠀⠀⠀⠀⢹⡄⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⠃⠀⠀⠀⠀⠀⠀⢀⣠⠖⠋⠁⠀⠀⠀⠀⠀⠸⡄⠀⠀⠀⢀⡾⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⡄⠀⠀⠀⠀⠈⢧⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⢀⣠⣿⠀⠀⠀⠀⠀⠀⢠⡾⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⣧⠀⠀⠀⢻⡁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⢸⢦⣀⠀⠀⠀
⠀⠀⢀⣴⠆⠀⣰⠋⢀⣷⠀⠀⠀⠀⠀⠀⠘⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠈⢷⡀⠀⣀⣀⣀⠀⠀⠀⠀⢀⣼⠃⠀⠀⠀⠀⠀⠘⡇⠈⢳⡀⠀
⠀⢠⡟⢸⠀⣰⠇⠀⠈⡏⠀⠀⠀⠀⠀⠀⠀⢻⣀⢀⣀⣀⣀⣀⣤⠤⠤⣾⠋⠀⠀⣄⡀⢠⡏⠉⠁⠀⠉⠉⠉⠓⠒⠉⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⢧⠀
⠀⢸⡇⢸⠀⣿⠀⠀⢰⡇⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠀⠀⠀⠀⠀⠀⠀⣻⠀⠀⠀⢿⣍⠙⣲⣤⠤⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⢸⠀
⢀⣼⣇⣸⡀⣿⠀⠀⠸⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡀⠀⠀⠀⠈⣿⡟⢹⡶⢀⠈⠙⢦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⢸⠀
⣼⣿⣹⡏⢻⣿⠀⠀⠀⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⡏⠉⠛⢧⣿⡖⠒⠚⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠃⠀⠀⢸⠀
⢻⣟⢒⣆⢸⣿⠀⠀⠀⢿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠀⠀⠀⢸⠀
⠀⠻⠿⠿⠟⢻⣄⣀⣀⣼⣄⣄⣄⣄⣄⣄⣄⣀⣀⣀⣀⣤⣀⣀⣀⣀⣀⣠⣿⣤⣀⣀⣾⣧⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣠⣀⣀⣀⣀⣀⣀⣿⣆⣀⣐⣾⠃
🟦🔵🔷🔹💙🌐🌀💠🥶🫐🧢👕👖🧿🪬🧊💧💦🌊🦋🐟🐬🐳