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⬜⬜⬜⬜⬜⬜⬜⬜⬜⬛⬜⬜⬜⬜⬜⬜⬜⬜⬜
⬜⬜⬜⬜⬜⬜⬜⬜⬛🟥⬛⬜⬜⬜⬜⬜⬜⬜⬜
⬜⬜⬜⬜⬜⬜⬜⬛🟥🟥🟧⬛⬜⬜⬜⬜⬜⬜⬜
⬜⬜⬜⬜⬜⬜⬜⬛🟥🟧🟧⬛⬜⬜⬜⬜⬜⬜⬜
⬜⬜⬜⬜⬜⬜⬛🟥🟧🟧🟨🟨⬛⬜⬜⬜⬜⬜⬜
⬜⬜⬜⬜⬜⬜⬛🟧🟧🟧🟨🟨⬛⬜⬜⬜⬜⬜⬜
⬛⬛⬛⬛⬛⬛🟧🟧🟧🟨🟨🟩🟩⬛⬛⬛⬛⬛⬛
⬛🟥🟥🟥🟥🟧🟧⬛🟨🟨⬛🟩🟩🟩🟦🟦🟦🟦⬛
⬜⬛🟥🟥🟧🟧🟧⬛🟨🟨⬛🟩🟩🟦🟦🟦🟦⬛⬜
⬜⬜⬛🟧🟧🟧🟨⬛🟨🟩⬛🟩🟦🟦🟦🟦⬛⬜⬜
⬜⬜⬜⬛🟧🟨🟨🟨🟩🟩🟩🟦🟦🟦🟦⬛⬜⬜⬜
⬜⬜⬜⬜⬛🟨🟨🟩🟩🟩🟦🟦🟦🟦⬛⬜⬜⬜⬜
⬜⬜⬜⬜⬛🟨🟩🟩🟩🟦🟦🟦🟦🟦⬛⬜⬜⬜⬜
⬜⬜⬜⬛🟨🟩🟩🟩🟦🟦🟦🟦🟦🟦🟪⬛⬜⬜⬜
⬜⬜⬜⬛🟩🟩🟩🟦⬛⬛⬛🟦🟦🟪🟪⬛⬜⬜⬜
⬜⬜⬛🟩🟩🟩⬛⬛⬜⬜⬜⬛⬛🟪🟪🟪⬛⬜⬜
⬜⬜⬛🟩🟩⬛⬜⬜⬜⬜⬜⬜⬜⬛🟪🟪⬛⬜⬜
⬜⬜⬛⬛⬛⬜⬜⬜⬜⬜⬜⬜⬜⬜⬛⬛⬛⬜⬜
⠀⠀⠀⠀⠀⠀⠀⠈⠡⠃⠀⠀⠀⠀⠀⢀⡇⠀⠀⠀⣸⠃⠀⠀⠀⠀⠀⡼⣱⢢⠖⠀⠀⠀⠀⠀⠀⠈⢻⡉⠈⠉⠁⠋⠙⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡴⠊⠀⠀⠀
⠀⠀⠀⡀⠀⠀⠀⠀⠀⠠⠂⠀⠀⠀⣠⠏⠀⢀⡖⢾⡏⠀⠀⠀⠀⠀⠐⠒⠂⠎⠀⠀⠀⠀⠀⠀⠀⠀⢀⣙⣶⣶⣤⣀⠀⠈⠢⠀⠀⠀⠀⠀⠀⡀⠀⠀⣀⣴⡾⠛⣆⠀⠀⠀⠀
⢀⠀⠀⠀⠀⠀⠀⠘⠊⠀⠀⠀⣠⠞⠁⢀⣠⠞⢧⣾⠤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⣿⣶⣶⣾⣿⣿⣿⣷⣦⣀⠀⠀⢀⡰⠋⢀⣴⣿⠟⠁⠀⢿⢻⠀⠀⠀⠀
⠁⠀⠀⠀⠀⠀⠀⠀⠈⠓⠦⡾⣷⡠⠖⠋⠀⠀⠀⣠⣼⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⣿⣿⣛⠉⠛⠛⠉⠛⠛⠻⠛⠷⢶⣿⣴⣾⡿⠋⠁⠀⠀⣇⠘⠞⡀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢯⡀⠀⠀⢀⣤⣾⣿⣿⣿⣿⠄⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣴⣖⣿⣿⣿⣯⣤⣤⣀⠀⠀⠀⠠⠀⠘⠦⠙⢹⣿⠴⠊⠀⠀⠀⢸⣤⠞⢁⣠⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⣠⣾⣿⣿⣿⣿⠟⠛⣿⠀⢀⣀⠀⠀⠀⠀⣠⠖⣻⣿⣿⣿⣿⣿⡟⣏⡉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠿⣦⡀⠀⠀⠀⠈⣿⣴⠟⠁⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢩⠁⠀⠀⠀⠙⣎⣠⣷⣾⣷⣿⣿⣿⣷⣼⣡⡶⣫⣿⣿⣿⣿⣿⣿⣭⣾⣾⣤⡴⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⣦⡀⠱⡀⠛⠁⢀⣴⣶⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⢀⣀⣀⣀⣼⣿⣿⣿⡟⢹⣿⣿⣿⣿⣿⣿⡿⢋⡿⠹⠿⠛⣿⣿⣿⣿⡅⠀⠀⠀⠀⠀⣀⣴⠋⠀⣼⡇⠻⣿⣷⡀⠱⡀⠀⠀⡇⠹⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠰⠀⣀⠤⢤⣠⣶⣿⣿⣿⣿⣿⣿⣿⣿⠟⠀⣿⣿⡟⢻⣿⣿⣟⠀⣸⣷⡄⢠⡾⠛⣿⣿⣿⣧⢀⣠⡄⠀⣰⣿⠁⠀⢠⡿⠁⠀⢹⣿⣷⡀⠛⡄⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⣠⠎⠁⠀⢀⣿⣿⣿⣿⣿⣿⣿⢿⣹⣏⠀⠀⡏⢿⣇⢈⡿⠉⠉⠛⣿⣿⣿⣿⠁⠀⠿⣻⣿⣿⣿⣿⣷⣸⡿⠁⠀⢠⣿⠁⡄⢠⢸⣿⣿⣷⠀⠀⠀⠈⠋⠀
⠀⠀⠀⠀⠀⠀⡔⠋⠃⠀⠀⢠⣿⣿⣿⣿⣿⡿⣿⡇⡄⡿⢻⣷⡶⢷⣾⣿⣿⣧⡀⠀⠠⣿⣿⢷⣿⣷⣦⣾⢿⣿⣿⣿⣿⣿⣟⣡⣀⣴⡿⠃⣼⡇⢸⢸⣿⣿⣿⣆⣆⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠈⠀⠀⠀⢀⣀⣼⣿⣿⢻⣿⣿⡇⢿⣇⣿⠃⡾⠁⠀⠀⠀⠈⠻⣷⣝⢆⠀⢹⡃⡿⠙⣿⣿⣿⣀⣀⣵⣿⣿⣿⣿⣿⣿⣿⣧⣾⣿⣠⣿⣾⣿⣿⣿⣿⠏⠀⠀⠀⠀
⠉⠐⠐⠶⠦⠤⠤⢶⣿⡿⠹⢻⣿⣿⢸⡿⣿⣿⡘⣿⣿⣀⡃⠀⠀⠀⣠⣶⡶⣌⣿⡜⣆⠀⣿⡇⢠⡟⢻⣿⣿⣿⡟⡡⠛⢿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣿⣿⠿⠋⠀⠠⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⢸⣿⡇⠀⠰⢿⣿⠀⢳⠘⠿⣷⣽⣏⢙⣭⣄⡀⠀⠸⣟⣻⡾⠘⣿⡻⠀⡿⢷⡼⠀⣠⣿⣿⣿⣿⣷⣴⣟⠁⠀⠸⢿⣿⣿⣿⣿⣟⣯⣼⡶⠀⠀⠀⠀⠀⠀⠀
⣷⠂⠀⠀⠀⠀⢀⣿⣿⣷⠀⢠⡟⠙⣆⠈⠃⠀⠈⠛⢿⡋⠙⠳⣝⢦⡀⠈⠁⠀⠀⡇⠃⠀⠇⢸⣇⡴⢫⡟⢐⣿⣿⣿⣿⣗⠀⠀⠀⠘⣽⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀
⣿⠀⠀⠀⠀⠀⠈⠈⣿⣿⣷⡟⠀⠀⠙⡄⣠⡧⠀⠀⠀⠉⠀⠀⠉⠃⠁⠀⠀⠀⠀⠀⠀⠀⠀⢸⢻⢁⣞⣠⡾⠛⣵⣿⣿⣿⣿⢞⣤⣾⢿⣿⠋⠉⢹⣿⣿⠀⠀⠀⠁⠀⠀⠀⠀
⡿⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⡇⠀⠀⠀⣸⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⣀⣤⢿⣋⡁⠀⠐⠋⠩⠿⢿⣿⣿⡿⢣⣿⡇⠀⠀⠈⣺⡇⠀⠀⠀⠀⠀⠀⠀⠀
⡇⠀⠀⠀⠀⠀⠀⢸⢹⣿⣿⡇⠀⠀⣜⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠙⠛⠛⠶⣶⣶⡖⢂⣴⣿⢿⡏⣰⣿⣿⣯⣲⠃⢠⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀
⡇⠀⠀⠀⠀⠀⠀⠃⢸⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠶⠾⠷⣶⣬⣛⠻⣅⠀⣠⣿⣿⣿⣿⣿⣿⣣⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀
⡇⠀⠀⠀⠀⠀⠀⢀⣾⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣄⣤⣤⣄⠀⠀⠀⠀⠀⠀⠀⢀⠞⠣⡀⢠⡾⣿⣳⡍⠻⣷⣌⢿⣼⣿⣿⣿⡿⠿⠿⠯⠒⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⡇⠀⠀⠀⠀⠀⠀⠉⢩⣿⣿⣿⡄⠀⠀⠀⠀⠀⣴⡾⠿⠽⠿⣿⣿⣷⣝⠲⡀⠀⠀⠀⠀⠈⠠⢴⣞⠚⢷⣽⡿⠁⠀⠘⣿⣯⣿⣽⣿⣿⠀⠀⠀⠀⠀⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⡀⠀⠀⠀⠀⠀⠀⣸⡿⣿⣿⣷⠄⠀⠀⠐⣾⠁⠀⠀⠀⠀⠀⠹⣿⣿⣷⡇⠀⠀⠀⠀⠀⠀⠀⢫⢳⡘⣦⠀⠀⠀⠀⣹⡇⢇⣤⣾⣿⠀⠀⠉⠒⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣧⠀⠀⠀⠀⠀⢀⡟⠁⢸⣿⣿⣇⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠘⡎⠇⢸⠀⣀⣠⣴⣿⣷⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠈⢿⣧⠀⠀⠀⢀⡞⠁⠀⠀⢿⣿⣿⣆⠀⠀⢸⡆⠀⠀⠀⠀⠀⠀⠀⣾⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⢀⣸⠇⠈⣠⣾⡋⢉⣙⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣶⣤⣽⣿⣷⣦⣼⡇⠀⠀⠀⠘⣿⣿⣿⣇⠀⠈⠉⣄⣀⣤⣤⣤⡶⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣵⣋⠁⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣷⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣟⣿⣙⠿⢿⣿⣶⣄⣀⣀⣹⣹⢿⣿⣿⡁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠃⠈⢙⣿⣿⡟⠛⠿⣷⣿⣿⣿⣿⣿⣿⡟⢳⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠈⢿⣿⣿⣷⣶⣶⣾⣿⣿⣿⣿⣾⡏⠉⠛⠿⢿⣿⣶⣤⣀⣀⠀⠀⡴⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣴⣿⣭⣿⢿⣿⣿⣿⣿⣿⣿⢟⣿⠏⢀⡇⠙⢦⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠉⢙⣻⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⣹⣿⣿⢿⣿⡿⣷⣶⠦⠤⣶⣤⣶⣾⣿⣿⣿⣿⡿⠿⢿⣿⠿⠿⠿⠛⢋⣴⠟⢁⠴⠻⠀⠀⠀⠈⠛⠲⢤⣄⡀⠀⡀⠀⠀⠀
⠀⣀⣤⣾⣿⡿⠿⠛⠛⠋⢉⢩⣿⣷⣀⠀⠀⠀⢀⡿⠛⠹⣆⠀⠰⠏⠁⠀⠀⠀⢩⣿⣿⡿⠟⠻⣭⡀⠀⠀⠱⢤⣴⠶⠚⠋⠁⠀⢯⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠁⠀⠀⠀
⠾⣛⣋⣩⡤⠒⠒⣲⣷⣾⡏⠀⣿⣿⣏⢉⣽⠊⠉⡀⠀⠀⠙⢦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠳⣖⠒⠒⠈⠁⠀⠀⠀⠀⢨⣣⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠈⠉⠀⠀⠀⣸⣿⣿⣿⣿⣆⠘⣿⣿⠉⠀⠁⠀⠁⠀⠀⠀⠀⠻⣶⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢦⡀⠀⠀⠀⠀⠀⠸⣿⡝⢦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀
⠀⠀⠀⠀⠀⢠⣿⣿⠛⣿⣿⣿⣿⠟⠛⢛⠷⣶⣤⣤⣀⣀⠀⠀⠀⠀⠻⢷⣄⠀⠀⠀⠀⠀⠀⢀⣀⡠⠤⠖⠛⠉⠀⠀⠀⠀⢠⠇⢰⢿⠙⣆⠉⠳⠦⣤⣀⣀⣀⣀⣀⠀⠀⠀⠈
⠀⠀⠀⠀⠀⢸⣿⡟⠀⠀⢹⣿⣭⢂⡀⢸⡆⠸⣿⣯⣛⢿⣿⣿⣷⣶⣦⣤⣽⡳⠶⠶⠒⠚⠛⢻⣀⡀⠀⠀⠀⠀⠀⠀⠀⢿⠋⣠⠋⠈⣧⠈⠳⣄⡀⢀⠀⠀⠠⠀⠀⠀⠀⠀⢠
] ඞ 🔫 ඞ
\
good night!
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣿⣿⣻⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠿⢿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿
⢴⡆⠀⠀⠀⢀⣠⣤⣤⣤⣤⣤⣤⣤⣀⠀⢻⡆⢀⣀⣤⠤⠤⠴⢶⣦⡤⠤⣿
⢾⣷⡴⠶⠛⠋⢩⣭⣽⣿⣧⣀⣀⣉⣉⡙⣿⣿⣏⣉⣀⣠⣤⣮⣷⣿⣧⣤⣿
⢸⣿⡤⠶⠞⠛⠉⠉⠁⠁⠀⠀⠀⠈⠉⠙⢻⣿⣟⡁⠀⠀⠀⠀⠀⠀⠀⠀⣹
⠉⢿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡿⠉⠉⠙⢦⡀⠀⠀⠀⠀⠀⢠⣿
⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⠀⠀⠀⠀⠀⠙⠛⠒⠲⠶⠶⢿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣀⣤⣤⣤⣴⣾
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠀⠀⠀⠀⠹
⡏⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠙⣍⣫⣉⡉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉
⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡴⠞⠛⠉⠉⠉⠛⠓⢦⣄⠀⠀⢀⣤⣤⣄⠀⠀⠀⣀⣠⣤⣤⣤⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡞⠋⠀⣀⣤⣤⣤⣤⣤⠀⠀⠘⢶⡀⠀⠀⠀⠀⣠⡶⠛⠉⠀⠀⠀⠀⠀⠙⠳⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⡏⠀⠀⢸⣿⣿⣿⡟⠉⠉⠀⠀⠀⣠⡇⠀⠀⠀⠀⢿⡇⠀⠀⠀⠸⣿⣦⣄⣀⡀⠈⢷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⢤⣿⡟⠉⠉⠁⠀⠀⢀⣠⠾⠛⠁⠀⠀⠀⠀⠀⠷⣄⠀⠀⠀⠨⢿⣿⣿⣷⢀⠀⢿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⠀⠀⠈⠉⠀⠀⠀⢀⣤⠶⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢧⡀⠀⠀⠈⠛⢿⣇⢠⠀⢸⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣴⠞⠉⠙⣇⣀⣀⣀⣤⠴⠚⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢦⡀⠀⠀⠸⠿⠘⡀⣾⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠞⠁⠀⠀⠀⣠⠜⠛⠁⠘⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢦⣄⠀⠀⠀⣱⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⡇⠀⠀⠀⠀⠀⠀⠀⠀⢀⡾⢁⣶⠀⠀⢀⡟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠶⠶⠋⠓⢦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⡇⠀⠀⠀⠀⠀⠀⠀⠀⣾⢁⡟⣻⠀⠀⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢶⡈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⡇⠀⠀⠀⠀⠀⠀⠀⢰⡏⣸⠀⢿⣇⠀⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀
⡇⠀⠀⠀⠀⠀⠀⠀⠘⡇⣿⠀⢸⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⠁⢻⡆⠀⠀⠀⠀⠀⠀⠀⠀
⡇⠀⠀⠀⠀⠀⠀⠀⠀⣷⢻⣧⠈⠉⢻⣧⠀⢀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⢴⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀
⡇⠀⠀⠀⠀⠀⠀⠀⠀⢹⡌⣿⠀⠀⠳⢿⡀⠀⠉⠳⢦⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⡿⠉⣼⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀
⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⢷⡘⣇⠀⠀⠘⣷⡀⠀⠀⠀⠉⠓⢷⣶⣦⣄⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠚⠉⠀⠀⠀⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀
⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⣨⣧⢹⡀⠀⠀⠈⢷⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠛⠛⠻⠿⠿⠛⠛⠛⠛⠛⠛⠋⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣥⠀⠀⠀⠀⠀⠀⠀⠀⠀
⡇⠀⠀⠀⠀⢀⣤⠴⠛⠉⢀⣄⣠⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣿⣵⠃⠀⡀⠀⠀⠀⠀⠀⠀⠀
⡇⠀⣀⡴⠞⠉⠁⠀⣠⣴⡿⠻⠉⣷⠀⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡼⣫⠟⠁⢀⡾⠁⠀⠀⠀⠀⠀⠀⠀
⡷⠚⣉⢤⣶⡶⢖⡿⠟⠁⠀⠀⠀⣿⡇⠈⢷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⠾⠋⠞⠁⠀⡰⠏⠁⠀⣀⠀⠀⠀⠀⠀⠀
⣟⣫⠗⠛⠁⠀⠉⠀⠀⠀⠀⠀⠀⣿⣷⠀⢠⡙⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⡿⠛⠉⠀⠀⠀⠀⠀⣀⣤⠞⠁⠀⠀⠀⠀⠀⠀
⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⡀⠀⢷⣌⠣⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣼⡿⠋⠀⠀⠀⠀⠀⣠⡴⠛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣽⣿⣇⠀⠀⠹⣦⡘⢆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡾⣿⡏⠀⠀⠀⠀⢀⣴⠞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⡇⠀⠀⠀⠀⠀⢀⡰⠖⠀⠂⠀⢬⠹⣿⣿⡄⠀⠀⠸⣧⡈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⠏⢠⡟⠁⠀⠀⠀⢠⡿⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⡇⠀⠀⠀⢀⡴⠋⠀⠀⠀⠀⠀⠀⠀⢹⣿⡇⠀⠀⠀⠙⢷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠃⠀⣸⡇⠀⠀⠀⠀⠈⢻⡙⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⡇⠀⠀⡴⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⠀⠀⠀⠀⠀⠙⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⠇⠀⠀⢿⡇⠀⠀⠀⠀⠀⠀⠳⢻⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⠃⠀⢀⠀⠺⣇⠀⠀⠀⠀⠀⠀⠀⠀⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⡄⠀⠀⠀⠹⣧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⡿⠃⠀⠀⠈⢧⡀⢿⡀⠀⠀⠀⠀⠀⠀⠀⠈⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⡇⠀⠀⢀⣀⣀⡤⠶⠖⠊⠉⠉⣿⠁⠀⠀⠀⠀⠈⠛⠻⣶⠶⣤⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠈⢇⢸⣧⠀⠀⠀⠀⠀⠀⠀⠀⢻⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⡇⠀⠀⠉⠁⠀⠀⠀⠀⠀⠀⣰⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠉⠛⠛⠗⠒⠒⠂⠀⠒⠂⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⢻⡆⠀⠀⠀⠀⠀⠀⠀⠘⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠀⠀⠀⠀⠀⠀⠈⢷⠀⠀⠀⠀⠀⠀⠀⠀⢿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⡇⠀⠀⠀⠀⠀⠀⠀⠀⢀⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣷⣄⡀⠀⠀⠀⠀⢸⣇⠀⠀⠀⠀⠀⠀⠀⠈⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀
⡇⠀⠀⠀⠀⠀⠀⠀⢀⡾⠀⠀⠀⠀⠀⠀⠀⢀⣴⠞⢹⡆⠀⠀⠀⠀⠀⠀⠀⠀⡄⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣶⣄⡀⠀⠀⢻⡆⠀⠀⠀⠀⠀⠀⠀⢻⠀⠀⠀⠀⠀⠀⠀⠀⠀
⡇⠀⠀⠀⠀⠀⠀⢀⡾⠁⠀⠀⠀⠀⠀⢀⣴⠏⠁⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⣰⣿⡀⠀⠀⠀⠀⢸⣿⡟⠛⠁⠉⠙⠻⠶⣤⣈⣧⠀⠀⠀⠀⠀⠀⠀⠀⠷⠀⠀⠀⠀⠀⠀⠀⠀
⡇⠀⠀⠀⠀⠀⠀⣾⠁⠀⠀⠀⠀⣠⡴⠋⠁⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⢠⡟⠘⣷⠀⠀⠀⢀⡿⢿⣇⠀⠀⠀⠀⠀⠀⠀⠙⢿⡆⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀
⡇⠀⠀⠀⠀⠀⣾⠃⠀⠀⠀⣠⡾⠋⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⣾⠃⢀⣿⡄⠀⠀⣼⠁⠀⢻⣧⠀⠀⠀⠀⠀⠀⠀⠘⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⡇⠀⠀⠀⢀⣴⡟⠀⠀⣠⠾⠉⠀⠀⠀⠀⠀⠀⠀⠀⢠⡇⠀⠀⠀⠀⠀⣼⠇⠀⠀⠻⣇⠀⠀⣿⠀⠀⠈⢻⣧⠀⠀⠀⠀⠀⠀⠀⢹⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⡇⠀⠀⠀⠸⣿⠁⣠⡾⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⣸⠏⠀⡄⡀⠀⣿⠀⠀⡇⠀⠀⠀⣠⣿⣇⠀⠀⠀⠀⠀⠀⠈⠿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⡇⠀⠀⠀⠀⣿⡼⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⢰⡇⠀⠀⠀⠀⢸⣿⠀⢰⡇⢀⣤⣾⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⡇⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⢠⡏⠀⠀⠀⠀⠀⠰⣿⠀⣸⣷⣿⣿⣿⡿⠛⠹⣷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⡇⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⢠⡟⠀⠀⠀⠀⠀⠀⠀⣿⢠⣿⣿⣿⣿⠏⠀⠀⠀⠘⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠇⣰⠟⠀⠀⠀⠀⠀⠀⠀⠀⠉⣾⣿⡿⡿⠁⠀⠠⠀⠀⠀⠈⠅⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠘⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣧⠀⠀⠀⠈⠀⠀⠀⠀⠶⠚⢻⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⠀⠀⠀⠀⠀⢠⡶⠄⠀⣀⣠⣤⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⠏⢀⠀⠀⣤⣦⡴⢛⠛⠛⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣇⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣤⣤⣤⣶⣶⣾⣿⣿⣿⣿⣧⣭⣤⣤⣤⣤⣤⣤⣤⣼⣤⣤⣤⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀