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⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠿⠟⠛⠋⠉⠐⠀⢁⠀⠂⠐⠄⡐⠀⡌⣁⠓⠜⡲⢬⢙⡚⢽⣛⠻⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠟⠛⢉⢀⡀⠀⠀⠀⠀⠀⠀⠠⢀⡀⠀⠈⠀⠐⢈⠒⢬⡐⡈⢒⡉⠦⣣⡜⠢⡝⣝⠲⣭ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠛⠉⠈⠀⠀⠀⠤⠈⠉⠙⠣⢀⠀⠀⠀⠀⠀⠀⠈⠢⣄⠀⠀⠠⠐⠀⡉⠳⣶⠀⠑⠠⢙⠧⣒⡩⢛⡵ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠟⠋⠉⠀⠀⠀⠀⠀⠄⡀⠀⠀⠀⠀⠀⠀⠈⠑⠆⠀⠀⠀⠀⠀⠀⠀⠁⢄⠀⠀⢀⠐⠠⢈⠳⡅⠆⠠⠑⡜⢬⢣⢻ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⠟⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⢄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠑⣄⠀⠈⠄⢂⠐⡘⠶⣀⠃⠌⢇⡳⡥ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠋⠀⠀⠀⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠑⡀⠀⠀⠀⠀⠀⠀⠀⠑⠄⠀⠀⠀⠀⠀⠀⠈⠧⠀⠀⠡⢊⡐⠌⢣⡀⠀⣀⠱⡜ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠛⠁⠀⠀⠀⠀⠀⠀⠐⠀⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠈⢄⠀⠀⠀⠀⠀⠀⠀⠐⠄⠀⠀⠀⠀⠀⡁⠐⠱⡌⢀⠣⣌⠱⣂⢳⡄⢀⠶⠡ ⣿⣿⣿⣿⣿⣿⣿⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠀⡂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠈⠄⠀⠀⠀⠀⠀⠀⠀⠈⢆⠀⠀⠀⢀⠀⠠⠁⡱⡄⠒⠤⠁⣐⢮⠗⡈⠀⢑ ⣿⣿⣝⢿⣿⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠐⡂⠀⠀⠈⠐⠠⠑⠀⠽⡀⠀⡄⢁⢢⡐⠬⡘⢄ ⠽⣿⣿⡿⣿⣻⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢂⠀⠀⠀⠀⠀⠀⠉⠑⠣⠀⠀⠀⠀⠀⠀⠀⠀⠈⢣⡐⠌⢢⠍⢢⢉⠬ ⣿⣶⣿⣷⣸⠉⠿⡆⠀⠀⠀⠀⠀⠀⠀⡀⣀⢀⣶⡉⠸⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢇⡆⠀⠀⠀⠀⠀⠀⠀⠀⢱⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⡈⣀⠉⠶⡈⠶ ⣋⣉⡙⠛⠛⠿⠖⠀⠀⠐⡴⢋⠉⡙⢷⣿⣿⣿⡏⣠⠁⡠⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡘⣴⡀⢀⠀⠀⠀⠀⠀⠀⠀⣳⠀⠀⠀⠀⠀⠀⠀⠀⢸⣷⠠⢉⠆⣉⠖ ⣿⣿⣿⣷⣶⣦⣤⠖⠀⠀⢱⠳⢒⢍⡢⣤⠉⠛⠛⠛⠓⣢⣍⣒⠥⠖⢂⠀⠀⠀⠀⢀⠀⢤⣄⣒⣢⡇⠀⠒⡄⠀⠀⠀⠀⠀⣸⣧⠀⠀⠀⣀⢀⢀⣀⣨⣿⣶⣶⣶⣶⣶ ⣿⣿⣛⣿⡟⣿⣿⣵⣶⠶⢬⡑⣎⠀⢑⠲⠯⠿⢶⣾⣿⣿⣿⣿⣿⣿⣟⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⡿⣿⣎⣶⣻⣟⣻⣭⣿⣿⣴⣶⣥⡷⠟⣐⣶⣦⣤⣮⣿⣋⣛⡻⠛⠿⢥⣰⣿⣿⣿⣿⡿⢿⣿⣿⣿⣿⣿⣿⣿⣿⢫⠛⣏⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠹⢏⣽⣿⣵⣿⣿⣿⣷⠿⣿⠟⠀⠈⠉⠻⡿⢿⡿⢿⡿⢿⣿⠷⢿⣿⣿⣶⣶⣿⣯⡿⣔⡶⢤⣿⣿⣿⣿⣿⣿⠇⠂⠰⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⡜⠿⣍⣿⣳⣯⣳⣿⠹⠗⠋⠀⣀⡷⢛⠟⠐⠇⢘⣿⠅⠈⣥⣴⣿⣿⣿⣿⣿⣿⡿⢋⣼⣿⣾⣷⣾⣿⣿⣿⡇⣌⠩⢴⣿⣿⣿⣿⣿⠋⠙⠻⣿⡀⠁⠀⠈⢭⣛⣯⠐⡄ ⡛⣉⣿⣿⣿⣷⣫⠔⠋⠉⡭⡆⠩⡁⠀⡀⣠⣼⠟⠁⠊⣠⣿⣿⣿⣿⣿⣿⡿⠃⠐⣻⣿⣿⣿⣿⣿⣿⣿⣿⡏⣹⣿⣾⣿⣿⣿⣿⣧⣀⣀⠞⠚⠻⣶⣦⡂⣀⠝⡀⠀⢀ ⣻⣼⣧⣾⣿⡟⠁⢀⣤⣶⣡⣵⣧⣬⣙⣿⣿⠏⠐⣡⣾⣿⣿⣿⣿⣿⣿⣿⠃⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⡍⢷⣿⣿⣿⣿⣿⣿⣷⢷⣖⡀⠀⠈⣿⣿⣿⣿⣶⣧⣢ ⣿⣽⣿⣿⣿⡀⣴⡿⣿⡿⢿⣿⣿⣿⡏⢿⡇⢀⣼⢿⣿⣹⣿⣿⣿⣽⣿⡯⠀⢻⣿⣿⣿⣷⣿⣿⣿⣿⢿⣿⠟⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣿⣱⠊⠙⢻⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⡿⣹⣟⢻⣿⣻⣟⣿⣟⣧⣻⣿⣿⣿⣗⣿⣿⣿⣶⣿⣻⠀⣿⣿⣿⣿⣿⣿⣿⢿⣟⡯⠇⠐⢰⣿⣿⣿⢫⣿⣿⣿⣿⣿⣿⣿⣿⢿⡞⢢⢠⠻⡿⢯⣿
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