⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣶⣾⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⡿⣿⠉⠉⠉⠛⠻⢦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣤⣿⣶⣶⣶⣶⣶⣤⣝⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⢿⡟⠳⠟⠷⠿⣯⣿⡿⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡏⢄⣢⣿⣀⣀⣠⣤⣾⣮⣍⣛⣿⣷⣤⣤⣤⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡴⢿⡀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣄⠀⠀⠀⠀⠀⠀⠀⠠⢴⡒⠉⠀⠀⠳⣄⠀ ⢠⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣤⠀⠀⠀⠀⠀⠀⠀⠹⣄⠀⢀⡤⠞⠃ ⠀⢈⡷⠄⠀⠀⠀⠀⠀⠀⢀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠟⠛⠉⠙⣿⣄⠀⠀⠀⠀⠀⠀⢸⣶⠋⠀⠀⠀ ⠹⠃⠀⠀⠀⠀⠀⠀⠀⢠⣾⣿⣿⣿⡉⢠⣾⣿⣿⣿⣿⣿⣿⠿⣿⣿⠿⢿⣿⣿⣿⣷⣄⣀⣠⣼⣿⡿⣦⡀⠀⠀⠀⠀⠈⠃⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⣻⣿⣿⣿⣿⣿⡿⠉⠁⠀⠀⠀⠈⠀⠀⠀⠀⠈⠙⣿⣿⣿⣿⣻⢽⣫⢿⣝⠲⢦⣀⣀⡀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢀⡴⢿⣿⣟⣷⣻⢾⡽⣿⣯⣿⠷⠶⣤⡀⠀⠀⠀⠀⠀⠰⠶⠟⠛⠛⢻⣿⣾⡵⣻⡜⣯⢻⣦⣀⣨⠽⠛⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠶⠿⣥⣿⣟⢾⢣⣿⢯⣝⢯⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣤⣿⣟⡿⢷⣯⡙⣷⠌⢻⢦⣀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣀⡴⢟⡱⢎⡎⢧⢿⣻⣼⣿⣿⣶⣦⣤⡀⠀⠀⠀⠀⠀⠀⠀⣠⡾⢿⣿⣏⠙⠻⣿⣣⢛⢷⣌⠚⡄⢓⣪⡟⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠻⣿⡘⢦⡱⢎⡜⣧⠮⣽⣿⠏⢸⣏⠀⣨⣿⣦⠀⠀⠀⠀⠀⢸⣿⣤⡜⢻⣿⣰⠛⠓⠛⠚⠾⠞⢓⣴⡷⠋⠀⢀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠙⠳⢮⣷⡼⢷⣭⢶⢿⡟⠀⠸⣿⣖⣿⣩⡟⠀⠀⠀⠀⠀⠘⠿⣽⣧⣼⢏⡏⠀⠀⠀⠀⠀⠀⠈⣽⠁⠀⢀⣸⡄⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⡿⠞⢻⡆⠲⠤⢼⠛⠋⠁⠀⠀⢠⣤⣤⣤⠀⠀⠀⠀⠉⢹⡃⠀⠟⢛⣲⣶⣀⣬⡏⠀⠀⠘⠁⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣠⣿⡿⠻⡇⢸⣿⣿⣄⠀⠈⠀⠀⠀⠀⠀⢸⠀⣼⠀⠀⠀⠀⠀⢰⣟⣻⢦⠁⠺⢯⣟⠙⠛⢦⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠘⠻⠧⣄⣀⣳⣌⣙⣋⣹⢷⣄⡀⠀⠀⠀⠀⠸⣿⠃⠀⠀⠀⢀⡴⠛⡿⠡⠞⢓⣞⢸⡏⠀⠀⣸⠇⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢈⣿⣫⣿⣧⣅⣼⣿⣿⡶⣶⣶⣶⣷⣶⣶⡶⣻⣿⡇⢸⡇⠀⠀⠈⠙⢯⣿⣶⡚⠁⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢰⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡾⠉⣩⠿⣿⣿⣿⣿⣿⢻⡿⠿⢻⣟⢻⣿⣿⣷⣿⢛⣿⣶⠤⠤⠾⠿⢯⡷⠀⠀⠀⠀⢠⠀⠀⠀⠀ ⢀⠎⠈⠙⣲⠆⠀⠀⠀⠀⠀⠀⢸⣇⢸⠃⠀⢸⡿⢋⡛⢻⣿⠀⠀⠀⢻⣼⣿⡿⠽⢿⡟⠛⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡾⡆⠀⠀⠀ ⠈⠳⢤⡼⠁⠀⠀⠀⠀⠀⠀⠀⠀⠙⠾⢧⡤⣾⣶⠖⠉⣸⣿⠀⠀⠀⠈⣿⡁⢤⡂⣻⣿⠀⠀⠀⠀⠀⠀⠀⠀⠲⣴⠋⠁⠀⠹⣄⠀⠀ ⠀⠀⠀⠑⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡤⠞⠁⣹⣿⣦⣜⣻⣿⣦⣤⣤⣶⣿⣟⣤⣾⡟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢳⡀⢀⡴⠚⠃⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡶⠋⢀⢂⢥⣿⣳⢭⡻⣽⣻⣿⣿⣿⡟⠉⠉⠀⠠⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⡷⠋⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡟⢀⡐⢂⢸⣿⣿⣷⣯⣵⣳⡿⠁⠀⠻⢷⣤⣰⡾⢿⣾⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣇⠄⡐⢀⠚⣿⣿⣿⣿⣿⠟⠁⠀⠀⠀⠈⢻⣿⣿⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣦⢀⠡⢂⠈⠙⡉⢉⠁⠠⢀⠂⠐⠀⠄⠀⠉⠛⠻⣯⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠦⣤⣈⡐⠠⠈⠄⠁⠂⠈⢀⠁⢀⣠⣠⠾⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠙⠛⠓⠚⠒⠓⠚⠚⠛⠋⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⡀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

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