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⠁⠰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡌⠆⡉⢦⡘⣇⡙⢪⢑⠠⠀⠀⠀⠀⠀⠀⠀⠐⢊⡡⠖⣎⠹⠀⠀ ⡅⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⠂⢆⡃⢍⢢⡇⢳⢭⡘⠠⠉⠉⠚⠓⠈⠓⢂⠎⠉⢠⡱⢎⣏⠐⠀ ⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⢌⠢⡑⢰⡏⣯⢟⡷⣞⣩⠶⣌⠳⣄⠱⢢⢌⠲⣌⠱⢦⡝⣺⠀ ⠅⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢂⡁⢌⡳⢈⡿⣽⣞⣹⠶⣘⡱⢆⡀⡄⠀⢠⡌⠆⣃⡐⢳⡌⢲⢠ ⡄⠀⠀⠀⠀⠀⠀⠀⠀⠉⠀⠀⠀⠀⠀⠀⠀⠄⠂⡍⠻⣧⣝⣧⣷⣻⡽⡌⠀⠀⠀⠀⠀⠀⠀⢀⠠⡱⢎⡍⠐⢀ ⠀⠰⠀⠀⠀⠀⠀⠀⠀⡀⢀⡄⢠⠤⠶⠧⠴⣮⣑⢮⡍⢲⡹⢳⡭⡜⣷⠘⠀⠀⠀⠀⠀⠀⠀⠀⠀⠡⠆⣉⠰⠇ ⠀⠡⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠂⢠⡜⢋⣥⡜⡳⢎⡳⢌⣳⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⡓⠤⠀ ⠀⡂⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⠁⢠⡱⢢⢝⣣⡜⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡐⠎⣈⠐ ⠀⠀⢁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠐⢢⡑⠬⣚⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠒⢎⠄⠀ ⠀⠀⡀⠘⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢂⠡⢆⡍⡖⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠎⢀⠀⠀ ⠀⠀⠀⠆⠀⠂⠈⠀⠀⠁⠑⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢁⠢⣌⡙⢰⠀⠀⠀⠀⠀⠀⠀⠀⠂⣀⠐⠀⠀⠀ ⠀⠀⠀⠀⢡⠂⢱⠀⠀⡌⠘⢸⠀⠀⠋⠀⠀⠀⠀⠀⠀⠀⠀⠈⠑⢢⡜⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⡞⠈⠀⠀ ⠀⠀⠀⠀⡀⠟⡆⠈⠀⢆⢀⢸⠀⠜⣼⠀⠀⠀⠀⠀⠀⠀⠀⠆⡈⡞⠀⠀⠀⠀⠀⠀⠀⠀⠁⠔⢍⡦⢠⠀⠀⠀ ⠀⠀⠀⠀⠀⠼⠹⢆⠈⠀⠀⢸⡐⡜⠀⠀⠀⠀⠀⠀⠀⠀⠂⢡⡔⠀⠀⠀⠀⠀⠀⠌⠁⠔⢀⠄⢀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠂⡄⠹⣆⠃⠀⡔⠂⢱⠀⠀⠀⠀⠀⠀⠀⠐⢨⡠⠀⠀⠀⠀⠀⠂⠅⠀⢀⠁⠜⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠸⠄⠙⠠⠀⠀⠀⠀⡀⠱⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡁⠔⢀⠀⠟⣸⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⡇⠀⡓⢾⢈⠀⠑⠀⠀⠀⠀⡀⣄⢦⠗⠹⠾⠛⡱⠺⠉⠀⠁⠟⢀⠀⠁⡣⡟⢸⠢⠘⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⡄⠰⡃⢸⢿⠈⠀⡀⠀⠀⠈⠀⠀⠀⠀⡀⣄⣤⣶⢷⣻⣟⣫⣿⠈⠃⣏⣱⣻⢸⠀⢏⡀⠀⠀⠀⠀⠀ ⠀⠀⢀⢀⠣⠙⡆⢹⣯⢯⠈⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⣀⣄⣦⣷⢹⢺⢨⡱⢺⢸⡎⡀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢺⡼⢿⣧⣗⢻⠀⠀⠀⠀⠀⠀⠀⠠⠁⠀⠀⠀⠀⠀⠀⠀⠀⡀⢄⢪⡱⢿⡇⢰⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠃⢄⢣⡧⣟⡦⣟⠫⠁⠈⠀⠀⠀⠀⠀⠈⢕⠊⠈⠀⠀⠀⠀⠀⠀⠀⠀⡇⣽⡧⢘⡇⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⡀⠔⣁⣸⡿⣼⣻⢻⢣⡄⠂⢀⠠⠐⢃⡄⠚⢥⡳⢌⠓⠉⠀⠀⠀⠀⠀⡇⡇⡏⠈⢸⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢃⢾⣣⢳⣬⣷⢻⠠⢀⠀⠀⠀⠀⠀⡐⠆⣉⠦⣙⠳⣼⠀⠀⠀⠀⠀⡇⡼⢸⢿⢠⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠏⣌⡐⢠⠠⣄⠢⣧⠘⠀⠀⠀⠀⠀⠀⠀⠀⠁⢄⡨⡷⢸⠀⠀⠀⠀⠀⡇⢏⣱⣻⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠁⢰⠀⠀⠀⠀⠀⠀⠀⢤⠑⠀⠀⠀⠀⠀⠀⠀⠀⡡⠘⣿⠀⠀⠀⠀⠀⠀⡅⡱⡾⢸⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⡏⢀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠢⠀⠀⠀⠀⠀⠀⠀⠀⡄⣿⠀⠀⠀⠀⠀⠀⡇⡔⣯⢷⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣫⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠻⣧⡇⣾⠂⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢄⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⢺⣱⠎⣷⢾⠨⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⡀⠃⠁⠀⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠏⠀⠀⠀⠀⠀⠀⠀⣿⣟⠀⣾⢼⣟⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⡜⠀⡀⠀⠠⠚⠙⠉⠉⠉⠀⠀⠀⠀⠀⡄⠐⠀⠀⠀⠀⠀⠀⡇⣧⡷⠊⡄⢿⡆⢸⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠰⠤⢀⢈⠢⡙⣍⡕⢼⣻⣿⢐⠢⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⡄⣿⠊⢀⣿⠀⠘⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠐⠇⠙⣆⠿⠛⣍⣮⢻⣿⣿⣯⠻⠛⠙⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⡷⢖⠈⣿⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⡀⡈⣷⠻⡉⣦⣿⣷⣎⡿⣿⣟⣿⣿⣿⢿⠈⠀⠀⠀⠀⠀⠀⠠⠀⠇⣮⡇⣏⠀⢸⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⡟⢟⡄⣻⣿⢿⡿⢿⣿⣿⣼⣠⢀⠀⡀⣣⣼⠻⠀⠀⠀⠀⡘⠀⠀⢤⢸⡿⡜⠇⢠⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢳⢬⣷⣚⣵⣿⢟⣿⣰⢀⠀⠐⠙⠀⠀⠀⣄⢳⢜⠻⠟⡻⢸⠀⠁⣯⢁⣼⠘⡞⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⡜⢢⣜⠮⣏⡾⡟⣷⣽⠀⠀⠀⠀⡀⠰⠀⠀⡀⡫⡵⣿⣽⡿⢠⠀⡛⢰⡐⡹⢚⢐⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢀⠢⢀⣮⢏⣨⣤⣺⢥⡌⠄⠀⠀⠀⠀⠀⠦⢸⣿⣧⣼⡟⠀⠏⣰⠅⢀⠃⣬⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠡⣎⣽⢠⡀⢇⡳⠹⠀⠃⠟⠛⠚⠈⠁⢋⢛⣾⢞⡽⠃⣲⢀⠠⠈⡜⢀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠁⠛⡿⣿⣿⢻⡌⠀⡌⡀⢶⠀⠀⢀⣤⣤⣴⣦⣠⡇⠷⣷⣿⢣⢠⠐⠁⢓⢠⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣹⢚⠐⠨⠀⠀⢼⠈⠀⢀⠊⠀⠄⢀⡌⣡⢞⣾⢠⠠⠀⠀⡞⢀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⠀⠀⠀⣻⢿⠟⡔⠐⠁⢀⡠⣿⣿⣼⢀⠀⠒⢐⠌⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠡⠀⠀⡀⠠⢄⠒⠉⠈⠀⡀⠀⠀⠁⣯⣽⠉⠂⡠⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢂⠀⠐⠀⠀⠃⠔⣖⢠⠀⠀⢀⣿⣿⣼⢡⠒⢈⠀⠀⠊⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⢀⠀⠂⠠⠀⠀⠀⡏⣿⣴⢀⢀⠀⠀⠀⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⢀⠀⠀⠀⠀⠄⣀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀