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⠀⠀⠀⠀⠀⠀⢀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⣴⡿⢿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢀⣴⣿⠿⠁⢸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢺⣿⠃⠀⠀⣸⣿⣶⣾⣿⣿⣿⣷⣶⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⣾⣿⣷⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢸⣿⣿⠉⠉⢹⣿⣿⡿⠛⠻⠿⠿⠿⠿⠿⢿⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠈⣿⣷⠀⠀⠘⣿⡟⠀⢀⣀⠀⠀⢀⣀⡀⠈⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⣿⣿⠀⠀⠀⣿⣇⠀⠻⠟⠁⠀⠘⠿⠃⠀⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠸⣿⣧⠀⠀⠻⣿⣆⡀⠀⠀⠀⠀⠀⣀⣼⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠹⣿⣧⠀⢾⣿⣿⣿⣷⣶⣶⣶⣾⣿⣿⠿⢿⣷⣦⣄⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠹⣿⣧⢠⣿⠻⢿⣧⢈⣡⣿⣿⣿⡿⠄⠀⠀⠙⠻⣿⣦⠀⠀⠀ ⠀⠀⠀⠀⠀⢿⣿⣿⣿⠀⠀⠙⠛⢹⣿⠉⠀⠀⣶⣦⣤⣀⠀⠈⢿⣷⡀⠀ ⠀⠀⠀⠀⠀⣸⣿⣿⡏⠀⠀⠀⠀⣼⡟⠀⠀⢸⣿⡟⠛⣿⣆⠀⠈⢿⣷⠀ ⠀⠀⠀⠀⢠⣿⣿⣿⡇⠀⠀⠀⠀⣿⡇⠀⠀⢸⣿⡇⠀⢻⣿⠀⠀⢸⣿⡇ ⠀⠀⠀⣰⣿⣿⣿⣿⣷⣤⣤⣤⣤⣿⣿⠀⠀⠀⣿⣇⠀⢼⣷⣤⣤⣼⣿⡇ ⠀⠀⠀⢿⣿⣿⣿⡟⠋⠉⠉⠉⠉⢻⣿⡀⠀⠀⢸⣿⡀⣼⡿⠉⠉⠉⢿⣧ ⠀⠀⠀⠀⣼⣿⠋⠀⠀⠀⣀⣴⣦⡈⣿⣷⣶⣿⣿⣿⠃⠻⣿⣶⣤⣴⣿⠏ ⠀⠀⠀⣾⣿⠁⠀⠀⢀⣼⡿⠋⢹⣷⡄⠉⠀⠀⢻⣷⠀⠀⠀⠉⠉⠉⠁⠀ ⠀⠀⢸⣿⠃⠀⠀⠀⣾⡿⠁⠀⠈⢿⣷⡀⠀⠀⠈⠻⢷⣶⣤⣄⣀⠀⠀⠀ ⠀⠀⣿⣿⠀⠀⠀⠀⣿⣿⠀⠀⠀⠈⢻⣿⣄⠀⠀⠀⠀⠀⠉⠙⣿⣧⠀⠀ ⠀⢸⣿⣿⠀⠀⠀⠀⢹⣿⣇⠀⠀⠀⠀⠙⠿⣷⣦⣀⠀⠀⠀⠀⣾⣿⣷⠀ ⠀⠸⣿⣿⣦⣤⣤⣤⣴⣿⣿⠀⠀⠀⠀⠀⠀⠈⠙⠻⣷⣦⣤⣾⣿⣿⡇⠀ ⢠⣴⣾⣿⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣾⣿⣿⣿⣿⠟⠀⠀ ⠉⠛⠛⠛⠛⠋⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠉⠀⠀⠀⠀

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└|°ε°|┐

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⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⣶⣏⣹⣓⡒⠦⠤⣀⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣶⣶⣤⡀⠀⠀⠀⢈⠿⢦⢳⠤⠽⡶⠤⠀⡈⠑⣢⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⠟⠻⣿⣿⡿⠤⣤⠖⠉⠀⡆⢸⠀⠀⣣⣀⡠⠴⠚⠉⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣏⢠⡀⠀⠈⢣⠀⠀⡇⠀⢀⠃⢸⠘⡟⣅⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣹⣥⣄⣀⣼⠤⠔⠁⠀⡼⠀⢸⠀⡇⠈⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⡏⢹⡯⠉⠙⢳⣬⠏⠀⠀⢀⠜⠁⣠⠃⠀⡇⠀⠘⡆⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣶⣆⢀⠤⠋⢿⣆⣠⠖⠁⢀⠔⠁⠀⠀⡇⠀⠀⢹⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⣶⣄⡴⠋⠀⢀⣴⣁⠀⠀⠀⢠⠃⢠⠁⠀⢷⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⢿⣿⣿⣿⣿⣿⠀⠀⠀⠀⢸⣿⣿⣷⡆⠈⢀⠎⠀⠀⠈⢇⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠿⣿⣿⣿⠑⢤⣀⣀⣾⣿⣿⣿⣇⢠⠎⠀⠀⠀⠀⠘⡆⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢻⣿⠀⠀⠈⠛⢿⣿⣿⣿⣿⡅⠀⠀⠀⣀⠴⠊⢹⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠤⠾⠋⠀⠀⠀⠀⢈⣿⣿⣿⣿⣷⡒⠂⠉⠀⠀⠀⢸⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣾⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⢀⡞⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣴⣾⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⢀⠞⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⣴⡿⠦⢄⡀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⠿⠿⠿⠿⠿⣿⣿⣿⠃⠀⠀⠀⣠⠎⠁⠀⠀⠀⠈⠑⠦⣄⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡰⠋⠀⠀⠀⠀⢀⡴⠋⢻⠏⠀⠀⢀⡴⠿⡤⠤⠤⠤⣤⠤⠄⠀⢈⡇ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠊⠀⠀⠀⣀⠴⠚⠁⠀⢠⠏⠀⠀⢠⡟⠀⠀⠘⡄⠀⠰⠁⠀⠀⣠⠎⠁ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠴⠊⠀⢀⡠⠖⠋⠀⠀⠀⠀⢰⠃⠀⠀⠀⡎⠱⡀⠀⠀⠘⣄⡇⠀⢀⡜⠁⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢀⡞⠁⠀⢀⡴⠋⠀⠀⠀⠀⠀⠀⣰⠃⠀⠀⠀⡸⠀⠀⢳⡀⠀⠀⡸⠀⣠⠏⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⡠⠋⠀⣠⠔⠋⠀⠀⠀⠀⠀⠀⠀⡼⠁⠀⠀⠀⣠⠃⠀⠀⠀⢧⠀⡰⠁⣰⡇⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣠⠞⢁⠴⠊⠀⠀⠀⠀⠀⠀⠀⠀⠀⡜⠁⠀⠀⠀⢠⠇⠀⠀⠀⠀⠸⡏⠀⢠⠃⢃⠀⠀⠀⠀⠀ ⠀⢀⡴⠊⢁⠔⠁⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⢾⣤⣀⣀⣀⡴⠃⠀⠀⠀⣀⡤⠚⢙⡄⢨⣀⣸⠀⠀⠀⠀⠀ ⠀⡎⢀⡔⠁⠀⠀⠀⠀⠀⠀⠀⠀⠐⠻⠥⠤⠤⠤⠦⠤⠞⠀⠀⠀⠀⠀⠉⠉⠉⠉⠳⠤⠷⠆⠀⠀⠀⠀⠀ ⠸⡴⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⁣⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⡤⠄⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣶⢿⣿⡇⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠼⣿⣧⣸⣿⣧⣤⣀⡀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⣿⣿⣿⣷⡀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⣿⣿⣿⣷ ⠀⠀⠀⠀⠀⢀⡀⣠⣤⣦⣴⣿⣿⣿⣿⠛⠉⠁ ⠀⠀⠀⠀⠀⣿⣿⣿⢿⠿⣿⣿⣿⣿⡏⠀⠀⠀ ⠀⠀⠀⠀⣸⣿⣿⡟⠀⠀⠀⠈⢿⣿⣿⠂⠀⠀ ⣠⣄⣶⣤⣿⠋⠀⠀⠀⠀⠀⠀⣼⣿⡟⠀⠀⠀ ⠉⠛⠿⢿⠃⠀⠀⠀⠀⠀⠀⣠⣿⣿⡄⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⠋⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⠃⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣇⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠋⠀⠀⠀⠀⠀

⠀⠀⠀⢀⣠⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡴⢤⡀⠀⠀ ⠀⠀⠀⢾⠏⢁⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⢰⠙⡆⠱⡀⠀ ⠀⠀⢀⠜⠒⠊⠉⢩⠭⠭⠍⣉⣉⣲⣒⣦⠤⠤⠴⣖⣉⡉⠙⠦⠵⣄⣹⠀ ⠀⢀⠋⡤⡄⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⢠⠁⠀⠀⡖⢄⣵⣄ ⢠⢎⠜⠀⢹⠀⢀⣸⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣘⡀⠀⢰⠁⠀⡜⢸ ⠳⡘⣄⠀⠈⡏⠉⢀⡀⠀⠀⠉⠑⡆⠀⠀⢀⡤⠒⠉⠀⠈⠉⢺⠀⢀⢡⠇ ⠀⠙⢬⣆⠀⢱⠀⠘⠈⠉⡹⠀⡜⠀⠀⡞⢉⣳⠤⠤⣀⣀⡤⠇⠀⠸⣯⡄ ⠀⠀⠸⠏⠀⠈⡆⠀⡅⢰⠁⡰⠁⠀⠀⡇⢸⠀⠀⠀⡈⢀⠇⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢡⠀⢳⢏⢶⠃⠀⠀⠀⣧⡎⠀⠀⠀⡇⢸⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠘⡄⢰⠈⠉⠀⠀⠀⢼⠴⠁⠀⠀⠀⠀⡌⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢇⣸⡀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣠⠃⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠈⠒⠻⠀⠀⠀⠀⠀⠀⠀⠀⠘⠒⠚⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⢀⣴⣶⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠸⣿⣿⣿⠅⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⣿⣷⣤⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣠⣴⣶⣿⣿⠛⠀⠀⠠⠐⢀⠈⡀⠄⠀⠀⠠⣿⣿⣿⠁⠠⣤⡀⠀⠀ ⠀⠀⣰⣿⣿⣿⣿⣿⡧⠀⠠⢁⠂⢆⠢⡐⠠⣼⣷⣦⣽⣿⣟⣁⣤⠉⢳⣄⠀ ⠀⣼⣿⣿⣿⣿⣿⣿⣿⣦⣐⣤⣿⣤⣓⣌⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⠆ ⠀⣾⣿⣿⣿⣿⣿⣉⠻⠿⠿⠟⠛⣉⠛⠿⠟⠁⢸⣿⣿⣿⡿⠋⠀⠀⠀⠀⠀ ⢀⣿⣿⣿⣿⣿⡛⠿⠃⠀⠀⠀⠐⠀⠀⠂⠀⣠⣾⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀ ⠀⢿⣿⣿⣿⣿⣷⣄⠀⠀⠀⠈⠀⠀⠁⠀⢰⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀ ⠀⠈⠻⣿⣿⣿⣿⣿⣄⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣷⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠙⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣦⣶⠀⠀⠀ ⠀⠀⠀⠀⢹⣿⣿⣿⡃⠀⠀⠀⠀⠀⠈⠉⣻⣿⠟⠻⠛⣿⣿⡿⠛⠁⠀⠀⠀ ⠀⠀⠀⢀⣾⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⣼⡿⠋⠀⠀⣼⠿⠋⠀⠀⠀⠀⠀⠀ ⠀⠀⣰⣿⣿⣿⢿⣿⣿⣧⠀⠀⠀⠀⣠⡟⠀⠀⢰⡾⠃⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠈⠛⠿⣧⠘⠿⠿⠿⠤⠄⠀⠀⠿⠀⠀⠀⠙⠿⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢂⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⠀⠀⠀⠀ ⠀⡀⠀⠀⠀⠠⠀⠅⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠀⠈⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂ ⠀⠀⠀⠀⠁⠀⡀⠀⠀⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣶⣿⣿⣿⣿⣦⡀⣀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣞⣿⢯⣿⣉⠡⣌⢹⣿⣏⣧⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⡽⠇⣽⣿⣿⡾⣿⣿⣿⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠠⣿⡿⠻⡢⠄⣀⡀⠀⠀⠀⠀⠀⠀⠀⢸⣯⠁⠀⠉⢙⣿⣧⠏⣿⣿⡇⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠚⠡⣒⠬⣑⠂⠤⠤⠠⣤⠤⠾⣿⣷⣲⠒⣾⣏⣀⡀⢻⣿⣿⡀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠚⠛⠩⢴⣾⠀⢰⠀⡈⡣⣪⣔⠃⠀⢡⢸⣿⣿⡇⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⣿⣶⣴⡵⠋⠈⣳⣴⢻⢸⣿⣿⣷⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⣿⣟⠬⠋⠀⡠⢊⢁⠗⠚⢸⣿⣿⣿⡄ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡞⣾⡿⠛⢁⡠⢴⣿⠀⠁⢸⠀⠀⢸⣿⣿⣿⡇ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣍⣀⣤⡞⢇⠄⢀⠿⡇⠀⠸⡄⠀⣸⣿⣿⢿⡇ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⢯⣷⣿⣿⡸⠆⠠⠃⠀⠉⠀⠀⠱⠀⣿⣿⡿⢸⠁ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣯⣷⣶⣷⣦⣤⣤⣶⣶⣶⣦⣿⣿⠃⡾⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⢀⡇⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣧⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣸⠁⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⡿⢸⣿⠿⡿⠿⢿⣿⣿⣿⣿⡿⠿⠿⢻⣿⢉⡏⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡇⣿⡟⠀⠃⠀⠀⠸⠁⠀⠀⠇⠀⢀⠨⡇⡜⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⠛⣿⠃⢀⠀⠀⢀⠃⠀⠀⠀⠸⠠⠊⠀⡟⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣧⡟⠀⢸⠀⠀⡜⠀⠀⠀⠀⠀⠇⠆⠀⡇⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⡇⠀⢸⠀⣤⠃⠀⠀⠀⠀⠀⣸⠒⠀⡇⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⡇⢀⢯⠦⢸⠀⠀⠀⠀⠀⠀⢻⠇⡀⢚⡄⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡜⠠⠂⡜⠀⠀⠀⠀⠀⠀⠞⠸⠘⡀⠸⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣷⣦⣴⠃⠀⠀⠀⠀⠀⠀⠀⠀⣧⣥⣴⡇⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⣿⡇⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⠀⠀ ⠀⠀⢀⠤⡒⠐⣂⣈⣒⡂⠤⢄⣀⣀⣀⣀⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣿⡇⠀ ⠉⠁⠀⠀⠁⠉⠦⣄⠐⠨⠽⠤⣀⣀⢀⣼⣿⣿⡖⢩⢮⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⡹⡿⣿⠀ ⠀⠀⠐⠒⠊⠉⠉⠀⠉⠉⠐⠒⠂⢤⣾⣿⣿⣿⠗⠚⠓⠿⠶⠶⠶⠶⠦⠤⢤⣤⣀⣿⣿⣿⡀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠺⠯⠭⠝⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣭⣭⠭⠃

⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣴⣶⣶⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢀⣶⣿⣿⠿⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⣴⣿⣿⣿⠃⠀⢹⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢀⣴⣿⣿⡿⠛⠁⠀⠀⣿⣿⣿⠀⠀⠀⠀⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢸⣿⣿⡿⠀⠀⠀⠀⠀⣿⣿⣿⣠⣶⣿⣿⣿⣿⣿⣿⣿⣷⣶⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢘⣿⣿⣧⡀⠀⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢸⣿⣿⣿⠿⠿⠿⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢸⣿⣿⡿⠀⠀⠀⠀⠀⣿⣿⣿⣿⠟⠁⠀⠈⠉⠉⠙⠋⠉⠉⠉⠉⠙⢻⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠘⣿⣿⣿⠀⠀⠀⠀⠀⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣿⣿⣿⠀⠀⠀⠀⠀⣿⣿⡏⠀⠀⢰⣿⣿⣿⠀⠀⠀⢐⣿⣿⣷⡄⠀⠈⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣿⣿⣿⡆⠀⠀⠀⠀⢿⣿⣿⠀⠀⠈⠛⠛⠋⠀⠀⠀⠀⠛⠛⠋⠁⠀⢀⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠸⣿⣿⣿⡀⠀⠀⠀⠸⣿⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣾⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠹⣿⣿⣷⡀⠀⠀⠀⢙⣿⣿⣷⣦⣀⡀⠀⠀⠀⠀⠀⠀⢀⣠⣶⣿⣿⣿⣥⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠻⣿⣿⣷⡄⠀⣴⣿⣿⣿⣿⣿⣿⣿⣷⣶⣶⣶⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣤⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⡄⠈⠻⣿⣿⣿⣿⣿⣿⠛⠛⠿⠛⣻⣿⣿⣿⣿⣿⣇⠀⠀⠉⠙⠻⢿⣿⣿⣦⣄⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⡄⣼⣿⡏⠙⠻⣿⣿⣆⢀⣠⣾⣿⣿⣿⣿⣿⣿⠟⠂⠀⠀⠀⠀⠀⠈⠻⣿⣿⣷⣄⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⣿⣿⣿⣿⡇⠀⠀⠈⠙⠿⠿⠛⢻⣿⡿⠋⠉⠁⠀⠀⣤⣤⣄⣀⠀⠀⠀⠀⠈⢻⣿⣿⣦⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⣿⣿⡇⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣶⡀⠀⠀⠀⠹⣿⣿⣧⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⠃⠀⠀⠀⠀⣿⣿⣿⠏⠙⢿⣿⣿⡄⠀⠀⠀⢻⣿⣿⣇⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⠀⠀⠀⠀⠀⣿⣿⣿⠀⠀⠈⣿⣿⣷⠀⠀⠀⠈⢿⣿⣿⠀⠀ ⠀⠀⠀⠀⠀⠀⢀⣾⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⠀⠀⠀⠀⠀⣿⣿⣿⠀⠀⠀⣿⣿⡟⠀⠀⠀⠀⢸⣿⣿⠀⠀ ⠀⠀⠀⠀⠀⢠⣾⣿⣿⣿⣿⣿⣿⣿⣦⣀⣀⣀⣀⣀⣀⣸⣿⣿⡇⠀⠀⠀⠀⠸⣿⣿⡆⠀⠀⣿⣿⣧⣀⣀⣀⣀⣸⣿⣿⠀⠀ ⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⢿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⢿⣿⣇⠀⠀⢙⣿⣿⣿⠿⠿⠿⣿⣿⣿⡀⠀ ⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠈⣿⣿⣇⠀⠀⠀⠀⠀⠘⣿⣿⡄⢀⣾⣿⠟⠁⠀⠀⠀⠀⢿⣿⣷⡀ ⠀⠀⠀⠀⠀⠀⠉⢻⣿⣿⡿⠃⠀⠀⠀⠀⠀⠀⢰⣤⡀⠀⢹⣿⣿⣦⣠⣤⣴⣶⣾⣿⣿⣿⠸⣿⣿⣷⣤⡀⠀⠀⢀⣾⣿⣿⠃ ⠀⠀⠀⠀⠀⠀⣰⣿⣿⠟⠀⠀⠀⠀⠀⠀⢀⣴⣾⣿⣿⣦⠀⠻⣿⣿⣿⣿⡿⢿⣿⣿⡟⠁⠀⠈⠻⢿⣿⣿⣿⣿⣿⣿⡿⠃⠀ ⠀⠀⠀⠀⢀⣾⣿⣿⠋⠀⠀⠀⠀⠀⢀⣴⣿⣿⡿⠋⢿⣿⣷⡀⠉⠉⠁⠀⠀⠈⣿⣿⣇⠀⠀⠀⠀⠀⠉⠉⠉⠙⠋⠉⠀⠀⠀ ⠀⠀⠀⠀⣼⣿⣿⠇⠀⠀⠀⠀⠀⢠⣿⣿⡿⠋⠀⠀⠘⣿⣿⣷⠀⠀⠀⠀⠀⠀⠹⣿⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢸⣿⣿⡿⠀⠀⠀⠀⠀⠀⣾⣿⣿⠁⠀⠀⠀⠀⠸⣿⣿⣧⡀⠀⠀⠀⠀⠀⠈⠻⣿⣿⣿⣶⣶⣤⣤⡀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣾⣿⣿⠃⠀⠀⠀⠀⠀⠀⣿⣿⣿⠀⠀⠀⠀⠀⠀⠹⣿⣿⣷⡄⠀⠀⠀⠀⠀⠀⠀⠈⠉⠙⠛⠿⣿⣿⣷⡀⠀⠀⠀⠀ ⠀⠀⢠⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣧⠀⠀⠀⠀⠀⠀⠈⢻⣿⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣧⡀⠀⠀⠀ ⠀⠀⢸⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠈⢿⣿⣿⣷⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⡆⠀⠀ ⠀⠀⣾⣿⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀⢹⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠿⣿⣿⣷⣤⡀⠀⠀⠀⢀⣴⣿⣿⣿⡿⠃⠀⠀ ⠀⠀⠻⣿⣿⣿⣿⣿⣶⣾⣿⣿⣶⣶⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠻⣿⣿⣷⣶⣶⣿⣿⣿⣿⣿⡇⠀⠀⠀ ⠀⢀⣀⣤⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀ ⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⠿⠛⠁⠀⠀⠀⠀ ⠈⠛⠛⠛⠛⠛⠛⠛⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⠀⠀⠐⢾⡩⠫⣔⠂⠤⢀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣼⠛⠿⡷⠤⡔⠁⠇⢀⣠⠤⠑⠊⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠘⣔⣀⣸⠀⠄⢰⠀⠈⠑⡀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣰⣏⡛⠈⡱⡎⢀⠔⢁⠌⠀⠀⠰⡀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢿⣿⣿⣷⡤⠙⠁⢴⣁⡀⢰⢠⠀⢣⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠙⠿⣿⣗⢄⠀⣸⣿⣿⢀⠂⠀⠀⢆⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢈⡿⠀⠈⢻⣿⣿⣇⠀⠄⠂⠙⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⣀⣼⣿⣿⡿⠀⠀⠀⡘⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⣿⣿⣿⡿⠁⠀⢀⡼⢀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⡰⠛⠛⠛⡻⡿⠁⠀⣰⡁⠀⠀⢈⠐⢄ ⠀⠀⠀⠀⠀⠀⠀⡠⠊⢀⡠⠐⠉⡠⠁⠀⡞⠀⠡⠀⠎⠀⡠⠃ ⠀⠀⠀⠀⢀⠔⠁⡠⠂⠁⠀⠀⡰⠁⠀⡜⠈⡄⠀⠱⢀⠌⠀⠀ ⠀⠀⠀⡠⢂⠔⠊⠀⠀⠀⠀⡔⠀⠀⡰⠁⠀⠰⠄⢁⢊⠀⠀⠀ ⠀⠄⢊⠔⠁⠀⠀⠀⢀⡀⠼⠤⠤⠴⠁⠀⢠⣔⣣⢠⠸⠀⠀⠀ ⢘⠔⠁⠀⠀⠀⠀⠀⠈⠉⠉⠉⠉⠀⠀⠀⠀⠀⠀⠉⠁⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣴⣶⡶⢿⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣤⣄⡀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⡿⠛⠁⠀⠈⠻⣿⣿⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⠋⠉⠻⢿⣗⡀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⡅⠀⠀⠀⠀⠀⠘⣿⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⣿⣿⠀⠀⠀⣿⣿⡇⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣧⠀⠀⠀⠀⠀⠀⢸⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣦⣀⣠⣿⠿⠁⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⡄⠀⠀⠀⠀⠀⣸⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣿⣿⣿⣿⣯⠉⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣄⠀⢀⣠⣶⣿⣿⣷⣶⣶⣦⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⡿⠁⢸⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠿⣿⡿⠟⠋⠉⠀⠀⠉⠉⠛⠻⠿⣿⣶⣤⣤⣀⡀⠀⠀⠀⣾⡿⠀⠀⢸⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⡶⠟⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠻⢿⣿⣿⣶⣶⣿⠃⠀⢀⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢀⣤⡾⠟⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠻⠿⠋⠀⠀⣾⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⣤⠾⠛⠉⠀⠀⣀⣤⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣶⣶⡶⢦⣤⣀⠀⠀⠀⠀⠀⠀⣼⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⣠⡶⠟⠋⣡⣤⣶⣶⠶⠿⠿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⣿⠀⠀⠈⠙⠻⠷⣶⣤⣤⣾⠿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣾⣿⠀⠀⢸⣿⣿⡏⠀⠀⠀⠀⠈⢻⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠹⣿⣆⠀⠈⠻⣿⣇⠀⠀⠀⠀⠀⠀⢿⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠘⢿⣆⠀⠀⠙⣿⣆⠀⠀⠀⠀⠀⠘⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠘⣿⣦⠀⠀⠸⣿⣦⠀⠀⠀⠀⠀⠘⣿⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠸⣿⣆⠀⠀⠙⣿⣷⡀⠀⠀⠀⠀⢹⣿⣿⡄⠀⠀⠀⠀⢀⣀⣠⣤⣾⣿⣿⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢻⣿⡆⠀⠀⠘⣿⣷⠀⠀⠀⠀⠈⢿⣿⣷⣶⡾⠟⠛⠛⠋⠉⠀⠀⠙⣿⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠈⣿⣿⣄⣀⣴⡿⣋⣠⣤⣄⠀⠀⠀⢿⣿⣿⣄⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣿⣧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠈⠻⠿⢿⣿⡟⠉⠉⠉⣿⣿⠀⠀⠀⠙⢿⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣿⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣷⣄⠀⢀⡿⠃⠀⠀⠀⠀⣸⣿⠏⠀⠀⠀⠀⣠⣦⣄⠀⠀⠀⠈⠻⣿⣧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠛⠛⠛⠉⠀⠀⠀⠀⢀⣼⡿⠁⠀⠀⠀⠀⠀⣿⣿⣿⣷⡀⠀⠀⠀⠙⢿⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣾⠟⠀⠀⠀⠀⠀⠀⢰⣿⠏⠙⢿⣿⣦⣄⠀⠀⠀⠙⢿⣿⣧⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⠏⠀⠀⠀⠀⠀⠀⣠⣿⠏⠀⠀⠀⠙⣿⣿⣧⠀⠀⠀⠀⠙⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⠃⠀⠀⠀⠀⠀⠀⣴⣿⠏⠀⠀⠀⠀⠀⠈⣿⣿⠀⠀⠀⠀⠀⢸⣿⣿⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⡿⠁⠀⠀⠀⠀⠀⠀⣸⣿⠏⠀⠀⠀⠀⠀⠀⠀⣿⣿⠀⠀⠀⠀⠀⢸⣿⣿⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⡟⠁⠀⠀⠀⠀⠀⠀⢠⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⠀⠀⠀⠀⠀⠈⣿⣿⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⠀⠀⠀⠀⠀⠀⢿⣿⣇⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡾⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⡇⠀⠀⠀⠀⠀⢸⣿⣿⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣀⠴⠚⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⡟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⡇⠀⠀⠀⠀⠀⠸⣿⣿⡄⠀⠀⠀⠀⠀ ⠀⠀⠀⢠⣴⣿⣧⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⠟⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⡇⠀⠀⠀⠀⠀⠀⣿⣿⡇⠀⠀⠀⠀⠀ ⠀⠀⢼⣿⣇⠈⠛⢿⣿⣶⣄⡀⠀⠀⠀⢀⣴⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⡇⠀⠀⠀⠀⠀⠀⣸⣿⣇⠀⠀⠀⠀⠀ ⠀⠀⠘⢿⣿⣷⣄⠰⣾⣿⣿⣿⣦⣠⣴⡿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⠃⠀⠀⠀⠀⣀⣴⣿⣿⣿⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠉⠻⣿⣿⣿⣿⣿⠛⠛⠛⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣷⣴⠖⠚⠋⠉⠛⠛⠻⠿⠿⣷⣶⣤⣤⣀ ⠀⠀⠀⠀⠀⠀⠈⠙⢿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⢿⡿⣶⣶⣶⣦⣤⣤⣤⠤⠾⠿⠛⠛⠋

🥸🕺Ligmabolas🥵

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⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣤⣶⡶⠶⠟⠛⠳⠶⢶⣤⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡴⠛⣩⠞⠋⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠛⠿⣦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⡾⠃⢠⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⢷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⠟⠀⣰⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠀⠀⠀⠀⢻⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠏⠀⢀⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⡆⠀⠀⠀⣿⡇⠀⠀⠀⠀⡏⠉⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡟⠀⠀⣸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⢳⣦⣤⡽⠀⠀⠀⣿⡇⠀⠀⠀⣀⡇⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣄⡀⢈⡇⠀⠀⠀⠀⣰⣿⢧⡀⠀⠛⠛⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡧⠤⠤⣧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠁⠀⠀⠀⠀⠀⢻⡏⠈⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣼⠉⠀⠀⠀⠀⠙⢦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣠⣀⡄⢻⡇⠀⣺⡇⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢰⠶⠀⠠⠇⠀⠀⠀⠀⠀⠀⠘⡇⠀⠰⠶⠶⠶⠶⠶⠞⠃⠀⠀⠀⠈⠉⠉⠉⠀⠀⠈⢿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢸⠀⠀⠸⠇⠀⠀⠀⠀⠀⠀⢀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠇⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣾⡿⠀⠀⠈⢧⡀⠀⠀⠀⠀⢀⡼⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡴⠜⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠲⠶⠤⢴⣾⠁⠀⠀⠀⠀⠠⠤⠤⠤⠤⠤⠤⠶⠶⠖⠛⠋⠉⠉⠈⠻⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡄⠀⠀⡼⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡤⠶⠴⢬⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢀⡏⡖⠀⢸⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⠋⠀⠀⠀⠀⠙⢿⣷⡀⢠⡀⢠⡀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠊⠀⠁⠀⣏⠀⠀⠀⠀⠀⠀⠀⠀⣀⡤⠤⢤⣀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠈⠉⠻⣆⠳⠀⣇⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣀⣤⣤⣀⠀⠀⡇⠀⠀⠀⠀⠀⠀⢀⡞⠉⠀⠀⠀⠉⢷⡀⠀⠀⢷⠀⠀⠀⠀⠀⠀⠀⣰⠀⠀⠘⡆⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣼⠋⠀⢀⣉⠓⢦⡗⠀⠀⠀⠀⢀⣠⣼⠀⠀⠀⠀⠀⠀⠀⣧⠀⠀⠀⠱⢄⣀⠀⠀⠀⣸⣇⡀⠀⠀⣹⣠⠶⢲⡆⠀ ⠀⠀⠀⠀⠀⣿⠀⠀⢸⡉⣧⡀⣿⠀⠀⠠⠶⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⣸⠀⠀⠀⠀⠀⠀⠉⠓⠊⣿⣠⣏⡴⠟⠛⣁⠀⠸⡇⠀ ⠀⠀⠀⠀⠀⢹⡄⠀⠀⠻⢯⠙⠻⡷⠲⢦⣤⣄⡀⠀⠀⠀⠀⢀⡀⠀⣰⠇⠀⠀⠀⢀⣀⢀⣤⠼⡿⠚⠉⣿⣅⠀⠰⣿⠀⠀⢻⡀ ⠀⠀⠀⠀⠀⠀⠹⣄⠀⠀⠀⠀⢠⣷⠀⠀⡁⠈⢻⡾⠋⠛⠲⣏⢩⡿⠛⠓⢦⣴⠛⠉⢹⣏⠀⣴⣧⠀⠀⣇⡟⠀⠀⡿⠀⣀⡼⠃ ⠀⠀⠀⠀⠀⠀⠀⠈⠓⢤⣀⢀⡀⣿⠀⠀⣷⣤⡞⠀⢸⡇⠀⢹⡟⠀⣾⡆⠀⢷⣦⠀⠘⠏⢰⡇⣿⠀⠀⢹⠇⠀⣰⠟⠛⠉⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⢧⡀⠀⢻⡘⡇⠀⠘⠿⠀⢸⠁⠀⠹⠇⠀⢸⡿⡆⠀⠀⣾⢰⠇⠀⢀⣴⠶⠚⠁⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠒⠦⠿⠹⣄⠀⠀⠀⣰⣇⠀⠀⠀⢀⡾⠀⢻⡄⢰⠇⠸⠷⠶⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠒⠚⠋⠙⠳⣦⢴⠞⠁⠀⠀⠛⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀