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⠀⠀⠓⢠⠊⢀⠎⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡎⣸⠀⢠⠃⢸⠀⠀⠀⠀⠀⡆⡞⡇⢸⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠎⠀⠘⠀⢠⡟⢠⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣇⠐⡆⠐⠘⡜⡄⠀⠀ ⠀⠀⡰⠁⣠⠃⢀⠎⠀⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡼⢀⠇⠀⡸⠀⡆⠀⠀⠀⠀⢠⢰⢳⠁⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢨⠏⠀⠀⠀⠀⢻⠁⣾⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡃⠇⠙⠘⠸⠀⠹⡄⠀ ⢀⠜⠀⡴⠁⢀⡞⠀⡘⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⠅⡜⠀⠀⠇⢠⠃⠀⠀⠀⠀⡎⡎⢸⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠏⠀⡇⠀⠀⠀⡎⣸⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⡇⠉⡇⠀⢹⡇⢣⠀ ⠈⢀⡞⠁⠀⡞⠀⢰⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⢳⢰⠃⠀⢸⢀⡾⠀⠀⠀⠀⠸⡸⡀⣼⠀⢼⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣞⠁⡸⠆⠀⠀⡇⢧⢯⢇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⢹⠀⠀⡞⠈⡆ ⠠⡏⠀⠀⡸⠁⢀⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡎⠆⡞⠀⠀⠇⣰⡇⠀⠀⠀⢠⢳⢡⢰⡇⠀⣼⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠻⡜⢀⡇⡿⠀⠀⢱⢸⣻⡌⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣧⠀⠊⡆⠀⡇⡇⢱ ⢀⠃⠀⢠⠃⠀⡸⠀⠀⠀⠀⢠⠁⡔⠀⠀⠀⠀⠀⡜⠀⣰⠁⠀⡸⢠⢹⠁⠀⠀⠀⣮⢃⠆⡆⡇⢸⡙⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡞⡇⡇⢸⣃⢱⡆⢰⢸⡘⡧⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⡄⠀⢳⠀⡇⠁⠀ ⠈⠀⠀⡞⠀⢀⠇⠀⠀⠀⠀⡎⢠⠇⠀⠀⠀⠀⣰⠁⢀⡏⠀⠀⠃⡌⡞⠀⠀⠀⢼⠃⡌⡰⢸⠀⠘⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⢣⠃⡇⢸⢸⡀⠳⠀⠈⣧⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⢧⠀⢸⠀⡇⠀⠀ ⠀⠀⢰⠃⠀⢸⠀⠀⠀⠀⢸⠀⣼⠀⠀⢀⠀⢠⠇⠀⡼⠀⠀⠀⡸⢡⠇⢠⠀⢰⠇⡘⢀⠃⡘⠀⢸⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⢸⠀⡷⡈⡏⢧⢱⡱⡀⢹⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡇⢸⠀⠀⣆⠇⠀⡀ ⠀⠀⠘⠀⠀⡏⠀⠀⠀⠀⡇⢠⢿⠀⠀⡌⢀⡏⠀⢰⠃⠀⢠⡰⠁⡼⡰⠁⣠⠇⠸⠁⠈⢀⠇⠀⣼⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⡇⠑⠽⡀⢣⡳⡈⣾⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡞⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡸⢋⠭⡬⡁⢻⢀⠔⠁ ⠀⠀⠅⠀⠀⡇⠀⠀⠀⢠⠇⢸⢞⠀⢀⠃⡼⠀⢈⡎⠀⢀⠇⠁⣴⠇⠃⣰⠃⢨⠃⠀⠀⡜⠀⣇⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠇⠀⢰⠁⠤⡇⠑⡏⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⡼⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⡁⣯⠀⣧⢘⠀⡏⠀⠀ ⠂⠀⠂⠀⠀⡇⠀⠀⠀⢸⠀⡞⢺⠀⡸⢰⠁⠀⡼⠄⠀⡎⠀⢀⡞⠀⡴⠃⠠⠁⠀⠀⢼⠁⢸⣸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡆⠀⠀⠘⠀⠐⡇⢐⡷⡇⠀⠀⠀⠀⠀⠀⠀⠀⡸⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⡇⣘⠒⠙⣊⢼⠁⠀⠀ ⢀⠀⠃⠀⠀⣿⡀⠀⠀⢘⠀⠃⢿⠀⢆⠇⠀⣸⠃⠀⠐⠀⢀⣾⢡⠞⠁⠀⠀⠀⠀⢠⠃⠀⣆⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠡⠀⠀⠀⠀⠀⡇⢨⡧⠀⠀⠀⠀⠀⠀⠀⠀⢠⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡿⢫⠈⢹⠆⡏⠀⠀⠀

⠀⠀⠀⡏⠆⢹⠈⢫⡿⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⢠⠀⠀⠀⠀⠀⠀⠀⠀⡧⢨⡇⠀⠀⠀⠀⠀⠡⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠇⣆⠀⠃⢠⠀⠀⠀⠀⠁⠞⢡⣾⢀⠀⠐⠀⠃⣸⠀⠇⢆⠀⢿⠃⠀⢘⠀⠀⡀⣿⠀⠀⠃⠀⢀ ⠀⠀⠁⢼⣊⠙⠒⣘⡇⠰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⡸⠀⠀⠀⠀⠀⠀⠀⠀⡇⡷⢐⡇⠐⠀⠘⠀⠀⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⢸⠁⢼⠀⠀⠁⠠⠃⡴⠀⡞⢀⠀⡎⠀⠄⡼⠀⠁⢰⡸⠀⢺⡞⠀⢸⠀⠀⠀⡇⠀⠀⠂⠀⠂ ⠀⠀⡏⠀⢘⣧⠀⣯⡁⢰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⡼⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⡏⠑⡇⠤⠁⢰⠀⠇⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⣇⠀⡜⠀⠀⠃⢨⠃⣰⠃⠇⣴⠁⠇⢀⠀⡎⢈⠀⡼⠃⢀⠀⢞⢸⠇⢠⠀⠀⠀⡇⠀⠀⠅⠀⠀ ⠁⠔⢀⢻⡁⡬⠭⢋⡸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡞⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⣾⡈⡳⢣⡀⠽⠑⡇⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠀⠇⢀⠈⠁⠸⠇⣠⠁⡰⡼⠁⡰⢠⠀⠃⢰⠀⡏⢀⡌⠀⠀⢿⢠⡇⠀⠀⠀⠀⡏⠀⠀⠘⠀⠀ ⡀⠀⠇⣆⠀⠀⢸⡇⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠇⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣆⢹⡀⡱⢱⢧⡏⡈⡷⠀⢸⠸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠇⢸⠀⡘⠃⢀⡘⠇⢰⠀⢠⠇⢡⡸⠀⠀⠀⡼⠀⠇⢠⠀⢀⠀⠀⣼⠀⢸⠀⠀⠀⠀⢸⠀⠃⢰⠀⠀ ⠀⠀⡇⠀⢸⠀⢧⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠃⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠇⣧⠈⠀⠳⡀⢸⢸⡇⠃⢣⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠘⠀⢸⡰⡌⠃⢼⠀⠀⠀⡞⡌⠃⠀⠀⡏⢀⠁⣰⠀⠀⠀⠀⠇⢠⡎⠀⠀⠀⠀⠇⢀⠀⡞⠀⠀⠈ ⠀⠁⡇⠀⢳⠀⡄⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⡧⡘⢸⢰⡆⢱⣃⢸⡇⡇⡞⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡙⢸⡇⡆⠆⢃⣮⠀⠀⠀⠁⢹⢠⡸⠀⠁⣰⠀⡜⠀⠀⠀⠀⠀⡔⠁⢠⠀⠀⠀⠀⡸⠀⠃⢠⠀⠃⢀ ⢱⡇⡇⠀⡆⠊⠀⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡌⣻⢸⢱⠀⠀⡿⡇⢀⡜⠻⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠀⡇⢰⢡⢳⢠⠀⠀⠀⡇⣰⠇⠀⠀⡞⠆⡎⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠇⢀⠁⡸⠀⠀⡏⠠ ⡆⠈⡞⠀⠀⢹⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢇⢯⢧⡇⠀⠀⠆⡸⠁⣞⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢼⠀⣼⡀⡸⠸⠀⠀⠀⠀⡾⢀⢸⠀⠃⢰⢳⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⢰⠀⡞⠀⠁⡞⢀⠈ ⠀⢣⡇⢹⠀⡇⠉⡇⠘⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡟⣸⡎⠀⠀⠀⡇⠀⠏⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⢸⡎⡎⠀⠀⠀⠀⠃⢠⠇⠀⠀⡜⠅⢰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡘⠀⡞⢀⠁⡴⠀⠜⢀ ⠀⡄⠹⠀⠸⠘⠙⠇⡃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠇⣾⠁⢻⠀⠀⠀⠀⠏⢨⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠁⢳⢰⢠⠀⠀⠀⠀⡆⠀⡸⠀⠇⢀⡼⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⠀⠎⢀⠃⣠⠁⡰⠀⠀ ⠀⠀⡄⡜⠘⠐⡆⠐⣇⠘⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠇⣿⢠⡟⢠⠀⠘⠀⠎⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⢸⡇⡞⡆⠀⠀⠀⠀⠀⢸⠃⢠⠀⣸⡎⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠎⢀⠊⢠⠓⠀⠀ ⠀⠀⠀⢆⢎⠀⠔⢣⠀⢿⠘⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡏⢮⢠⡏⣸⠀⠏⠀⠞⣀⠀⠀⠀⠉⠐⠤⢂⠑⠀⠀⠀⠀⠀⠀⠀⠆⠌⢸⡇⢰⠀⠀⠀⠀⠀⠃⢀⡇⠀⡎⠃⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠞⢀⠎⢀⠀⠄⢢⠀ ⠀⠀⠀⡄⢎⠈⠀⡀⠘⡄⢿⠙⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⣿⣔⠀⠏⣼⠁⡐⢀⡟⢠⠉⠒⠤⣁⠊⠔⠠⠤⠓⢌⠑⠀⠀⠀⠀⠗⢰⢏⢸⡆⠀⠀⠀⠀⠀⠀⡀⠀⠸⠀⢱⢰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡜⠀⡜⠀⠁⠐⠀⠀⠀ ⠀⠀⠀⠰⢱⠆⠈⠀⢆⠀⡄⣿⢿⠛⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠋⠕⣖⣀⠀⠋⣼⠃⡠⠁⡱⣶⣛⠟⠿⣖⢲⠒⠛⠉⠉⠈⣆⡹⢱⠀⠁⣐⢋⡟⣳⢸⠀⠀⠀⠀⠀⠀⠀⠀⠃⢠⡎⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠁⡐⠀⠁⡠⠀⠀⠀⠀ ⠀⠀⠀⠂⡄⠘⢄⠀⠀⢰⠀⠄⣦⢽⣆⠮⠑⠉⠀⠀⠀⠀⠀⠀⠁⠉⠖⡨⢔⢀⠀⠃⡞⢡⠔⢀⠋⡡⡿⣯⣴⣆⢈⠀⠐⠀⣇⠈⣀⣈⣜⣶⡿⠙⢠⠿⣷⣸⠸⢎⠀⠀⠀⠀⠀⠀⠀⠀⡇⠁⢱⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⡰⠀⠊⢀⠀⠀⠀⠀⠀ ⠀⠀⠀⠉⠓⢛⠛⠛⠉⠀⠀⠆⠁⣄⢻⡀⢄⡠⣒⢄⠤⠤⠤⣀⣂⠔⡀⠀⠀⠁⠎⣡⠔⢀⠁⠔⢁⡿⣴⢀⠀⠀⢪⠀⡆⠈⠀⠸⠀⢃⠄⠸⣡⣿⣿⣿⡇⢰⢸⢇⠀⠀⠀⠀⠀⠀⠀⠀⡘⡌⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⡰⠀⠀⠀⠀⠀⠀⠀⠃⠀ ⠀⠃⡷⡿⣶⣿⣾⣶⣻⢿⠈⠀⡀⠰⡄⢻⠈⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠉⠖⣫⠔⢀⠀⠀⠠⠋⣴⣄⠸⠀⠁⠀⢇⠀⠀⢀⠀⢇⠀⠂⠀⢬⡘⣹⣾⡏⡇⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠃⢹⢰⠁⠀⠀⠀⠂⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡜⠀⠀⠀⠀⠀⠀⠀⠃⢾⠀ ⠀⣿⣯⣿⠀⠀⠀⠀⣿⣯⣿⠀⠀⡄⠈⡆⢯⠛⠛⠉⠉⠈⠀⠒⠐⠤⡩⢒⡠⠀⠀⠀⠁⠒⡫⣸⠀⠀⡄⠘⡀⠘⡀⠰⠀⡆⠈⠁⢰⠀⠰⢇⠰⣹⢿⢣⡇⢸⠀⡇⠀⠀⠀⠀⠀⠀⠀⠾⣯⠀⡘⠀⠀⠁⢠⠎⠀⠀⠀⠀⠀⠀⠀⠀⠀⡎⠀⠀⠀⠀⠀⠀⠀⠁⠾⢀⠀ ⠀⣷⣯⣿⠀⠀⠀⠀⣽⣿⣾⠠⠀⢨⠏⣴⣀⣀⣉⠞⠴⠤⠮⡑⣴⣠⢀⠀⠊⠀⠁⠔⢁⠞⢠⡄⠘⠀⠀⢋⠀⠄⠈⡀⠑⠀⢀⠀⡇⠋⡓⡃⡼⡟⣏⠩⡀⢞⠀⡄⠸⠀⠀⠀⠀⠀⠀⢸⢸⠃⢠⠀⠀⡘⠃⢠⠀⠀⠀⠀⠐⠀⠀⠀⠆⢀⠀⠀⠀⠇⠀⠀⠂⡾⢀⠀⠀ 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⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠟⣱⠖⣈⢁⠢⡌⡗⣼⣿⢹⡆⢸⡀⠸⠀⠀⠀⢷⡓⠍⡑⠢⠘⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⡜⠀⠀⠀⠀⠀⠀⠎⢠⡜⠘⠘⠀⡜⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡟⣺⡔⠠⠀⠀⢌⠠⣷⣉⡤⣿⠘⢳⠀⢇⠀⠀⠀⡄⠜⡑⣄⠦⡙⠦⠘⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡅⡞⢀⠀⠀⠀⠀⠀⠎⢀⠏⢟⣛⢛⠚⢑⠉⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡏⢌⢸⢣⠀⠀⠄⠃⣀⡔⠻⢂⣼⢻⡄⠘⡀⢰⠀⠀⠀⢇⠀⠀⠢⠈⢄⡱⠢⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠉⠞⣠⠀⠀⠈⠂⠀⠀⠏⢠⠃⣾⣷⢮⢊⣑⣢⢅⡢⢵⠓⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⢳⠁⣿⡌⠀⠀⠀⠀⡐⠂⣁⣳⢽⣺⠀⢢⠀⡆⠘⠀⠀⠀⢰⠀⠀⠀⠀⠀⢄⢄⠘⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠚⠕⡺⢔⡠⠀⠀⠁⡰⠌⢀⠀⠏⢠⠁⣾⢌⣣⢴⢘⡠⠄⠐⠠⡄⢸⢰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡎⡗⣀⡄⢹⠠⠀⠉⠚⠖⠾⠦⠧⣦⢹⠀⡀⠐⠈⣄⠀⠀⠀⡀⠑⠀⠀⠀⠀⠀⠀⡄⠰⠀⠀⠀⠀⠀⠀⠀⠋⡲⣢⠤⢀⠀⠀⠀⠀⠄⢁⡰⠀⠀⡿⢰⠀⡟⢣⢅⡨⣿⠂⢀⠀⠀⠀⠆⣈⡘⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣄⡲⢎⠈⣀⢣⡾⢈⠀⠀⠀⢀⠡⢠⣕⠻⠀⡄⠄⠈⠀⠀⠀⠀⠀⠠⠀⠀⠀⠀⠀⠀⡄⠙⠀⠀⠀⠁⠞⣤⢀⠀⠀⠀⠀⠀⠀⠀⠀⠌⢀⠀⠁⡻⢠⠀⠇⣧⡎⡸⠗⣧⠐⢀⠀⠀⠀⠀⢸⢰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⡢⢡⠝⢄⡙⠢⠀⠀⠁⠉⡛⠓⣙⢻⠈⠀⡀⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⠘⠋⠔⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠀⠀⠀⡞⢀⠀⠇⣹⢣⢧⣄⡽⡍⡉⠉⠉⠈⠀⠀⢇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⣀⣀⠦⢋⡵⣠⣂⠄⡑⠆⣁⢳⠈⠀⠀⠢⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢎⢀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠄⠀⠀⠀⠀⠁⡴⠀⠀⠁⡴⢹⡀⣶⡞⢏⢠⠀⠀⠀⣀⠧⢛⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠑⠀⠀⡀⢣⢆⠈⡀⠒⡐⠢⡔⢿⠈⠀⠀⢀⠢⠈⠀⠀⠀⠀⠀⠀⠀⠀⠑⢠⠀⠉⠂⠄⠀⠀⠈⠐⡠⠀⠀⠀⠀⠀⠔⢀⠀⠀⠀⡜⠀⣆⠟⡼⢞⢀⠉⠈⠀⠀⠉⢞⢴⡠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠱⠀⠀⠀⢧⢊⠀⠀⠀⢂⠄⠃⣧⠘⠀⠀⠀⡀⠀⠐⠈⠁⠀⠀⠀⠀⠁⢦⢒⠀⠂⠐⠤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⡰⠀⠀⠎⣫⡤⡐⣀⢄⡐⠹⠃⡴⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ 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