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⠀⢸⣿⡋⣩⣿⣿⢦⣿⣿⣿⣧⣼⣿⣿⣿⣏⣼⣿⣿⢯⣽⣿⢸⣿⣿⣟⡀⢸⣿⣁⣀⢸⣿⣏⣼⡿⠋⣿⠏⠁⠀⠀⠀⠁⠀⠀⠀⠀⠀⢹⡇⠀⠀⠀⠀⠀⠀⠈⠀⠁⠀⠁⠈⠀ ⠀⠀⠙⠛⠛⠛⠋⠘⠛⠁⠈⠙⠛⠛⠁⠈⠛⠛⠋⠀⠀⠙⠛⠘⠛⠛⠛⠃⠘⠛⠛⠛⠉⠛⠛⠉⠀⠘⠿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣀⣀⢀⣀⣀⣀⠀⢄⠀⣀⣀⣀⣀⡀⣄⠀⣴⢄⣀⣠⣀⣀⣀⠀⢀⣀⡀⣀⡀⠀⣶⣶⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠘⣿⣿⣿⡏⢿⣿⠗⠘⣷⠟⢯⣽⢻⣶⡯⢀⡏⢻⣿⢾⡇⢽⣿⠇⠺⣯⠿⡿⠀⢰⡟⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡾⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠀⠀⠀⠀⠀⠀⠘⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠁⠀⠀⠀⣀⠀⠀⠀⠀⠀⠀⠀⢀⣴⡟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣤⣀⠀⠀⢀⣠⣤⣾⣿⣿⣷⣮⣷⡄⠀⢀⣠⣴⡾⠟⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠛⠿⠷⠶⣶⣶⣤⣤⣤⣤⣤⣤⣤⡄⠀⠀⣠⣶⣶⣶⣦⣤⣤⣶⣤⣶⣶⣾⣷⣿⣿⣾⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⠀⠀⢠⣿⡏⠈⠁⠈⠉⢁⣭⣾⣿⣿⣿⣿⣿⣿⣿⣿⣟⣷⣿⣻⣿⣽⣟⣿⣿⣿⣿⢿⣿⣿⣿⣿⣷⣤⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢈⣿⡀⠀⢸⣿⡃⠀⠀⠀⠀⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢿⣿⣿⣿⣽⣿⣿⣿⣷⡿⣯⣿⣯⣿⢿⣿⣿⣦⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣿⣄⠈⣿⡇⠀⠀⠀⠀⠀⠉⣹⠟⣩⣴⡾⣯⣭⡵⠶⠶⣬⡿⠍⠛⢍⣿⣿⣿⣟⣿⣳⣿⡽⣿⣻⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣷⣿⣷⠀⠀⠀⠀⠀⠰⢫⣾⠟⠀⣠⡟⠁⠀⠀⠀⠀⠻⣦⠀⠀⠻⠿⢿⣿⣿⣻⣷⡿⣟⣯⣿⣿⣿⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣿⣯⡀⠀⠀⠀⢰⣿⠃⠀⣼⠏⠀⠀⠀⠀⠀⠀⠀⣿⡇⠀⠀⠀⢸⣿⣿⣿⣽⡿⣿⣿⣿⣻⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠋⠀⠀⠀⣿⡇⠀⢠⣿⠀⠀⠀⠀⠀⠀⠀⢀⣿⠇⢰⡀⠀⠈⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠋⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠑⣿⡇⢠⣼⣿⡾⠛⠛⢶⣄⠀⢀⣾⠏⢠⡿⠁⠀⠀⠀⠀⠙⠻⠿⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣷⡏⠀⣸⣷⣶⣀⣨⣿⣴⣿⠷⠞⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠿⣿⣏⣀⠀⠉⠉⠉⠀⣀⣰⣶⣿⣿⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠸⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⣀⣆⣰⣶ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣨⡿⠋⢀⣠⣤⣶⠿⠛⠉⠛⢿⣿⣿⣿⣿⣦⠀⠀⠀⠀⠀⠀⠀⠸⣿⣿⣶⣿⣥⣴⣶⡾⣟⣿⣳⣞⡷⣽ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣿⠷⠾⠛⠉⠁⠀⠀⠀⠀⠀⠀⠙⢿⣿⣿⣿⣷⡀⠀⠀⠀⠀⠀⠀⢹⣿⣿⣿⣿⣷⣿⣾⣿⣞⣳⢯⣟⣳ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⣀⣤⣤⣶⡶⣶⣤⣄⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣠⣠⣜⣿⣿⣿⣿⣿⣄⠀⠀⠀⠀⠀⠈⣿⣿⣿⣿⣿⣿⡧⠈⠻⣿⣿⡾⣽ ⠀⠀⠀⠀⠀⠀⠀⣀⣤⣤⣤⣶⣿⠿⠿⣶⣤⣴⡾⣛⣭⣿⣅⠀⠀⠈⢿⣦⣀⣠⣤⣴⡶⣾⣟⡿⣝⡷⣽⢾⣹⢿⣿⣿⣿⣿⣆⠀⠀⠀⠀⠀⠈⠛⠿⣿⡿⠋⠀⠀⠀⢈⣿⣿⣟ ⠀⠀⠀⠀⢀⣴⣾⡿⠋⣡⣴⠾⠁⣈⣽⣟⣹⣦⣿⣋⠁⠈⠙⢻⣿⢻⣿⣿⣿⡵⣯⢶⣛⡶⣽⣺⢽⣾⡽⣯⣟⣿⣿⣿⣿⣿⣿⠇⠀⢀⣠⣶⣾⣶⣶⣏⡀⠀⠀⣠⡾⠟⠛⠛⢿ ⠀⠀⠀⣠⣿⣿⡿⢧⣾⢋⣴⠶⠿⠛⢡⣾⣿⠿⢿⣿⣷⣦⣄⡀⣹⣷⣻⣿⣿⣟⣾⣣⢯⢷⣻⡼⣿⣿⣿⣿⣛⣛⣛⢛⣉⣁⣠⣤⣶⣿⣿⠻⠷⢤⣿⡌⠛⣦⣾⣿⠟⠁⠀⠀⠀ ⠀⢰⣿⣿⣿⡁⣀⣿⣥⡬⠥⠈⠑⢶⣿⠿⢿⣄⣸⠟⠋⠉⠹⣿⣿⣿⣿⡿⣿⣿⣾⣷⣫⣟⡳⢿⡵⣯⢟⡿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣴⣦⡈⠻⣠⣼⠟⠁⠀⠀⠀⢀⣄ ⣞⣿⡿⢫⣿⣿⣿⣉⣙⣧⣀⣀⣴⣾⠃⢀⣿⣿⡅⠀⢀⣤⣾⣿⣿⣻⣏⣤⣿⡏⠉⠙⠻⣿⣿⣯⣽⣾⣯⣿⡷⠿⠟⠛⠛⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠋⠀⠀⠀⠀⢀⣴⠾⠓ ⣽⣾⡇⣿⠏⠙⣿⡿⣯⣍⠉⠛⣯⡀⠰⣿⣿⣿⣷⣼⠟⠁⠀⢀⣿⣿⣿⣿⣿⣿⣦⠀⠀⣼⣏⠉⣩⣵⣟⠛⠛⠻⢶⣶⠛⠛⠛⠛⠛⠛⠛⠛⠛⠉⠉⠀⠀⠀⠀⢀⣴⣿⣿⠃⠂ ⣿⣿⣿⡿⢀⣿⣿⣁⠀⠉⠛⠲⢾⣿⠀⣠⣴⣿⣿⢻⣦⣤⣶⡿⠻⣿⣿⣿⠼⠛⠁⠀⠈⠉⠉⠛⠻⠿⢿⣷⠀⠀⠀⠹⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣶⣿⣿⣿⡗⠀⠀ ⣿⣿⣿⠁⢨⣿⢫⣯⡻⠶⡄⠀⢸⣿⣄⣿⣿⡿⠟⠛⢋⣹⣾⡓⠀⣽⡏⠀⢀⣀⣤⠄⠀⠀⠀⠀⣀⣠⣤⣿⠀⠀⠀⠀⣷⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣶⣿⣿⣿⣿⣿⣿⠿⠀⠀ ⣿⣿⣿⠀⢰⣿⡀⣹⣷⡄⢴⣶⣿⡿⠟⠙⢿⣶⣶⣾⡿⠋⣩⣤⣼⣿⣷⡶⣿⣭⡄⠀⠀⢀⣴⣿⣿⣿⠟⠃⠀⠀⠀⣴⡟⠀⣀⣀⣤⣤⣶⣶⣿⣿⣿⣻⢿⡾⣽⣿⣿⡄⠀⠀⠀ ⣿⣿⣿⡀⠠⣿⡇⠙⠻⢷⡄⣸⣿⣧⣶⣾⣿⡿⢿⣿⠃⢸⡟⠩⣿⠈⣿⣷⣦⣄⣀⣤⣴⡿⠿⣿⣿⠿⢿⣿⡶⠿⠿⠿⠿⢿⡿⠿⠿⠿⣿⡿⠿⢿⣿⠟⠿⠻⠟⠿⠛⠿⠻⠿⠻ ⣽⣇⣿⠿⠷⢿⣿⣦⣤⣤⣾⠟⣹⣿⣿⣿⠋⠀⣼⡟⠀⢺⡗⠈⣿⣧⣼⣿⣿⣿⣯⡉⢿⣿⣿⣟⣡⡶⠿⣿⣿⣿⣷⣤⣾⠟⠛⠻⣶⣾⠟⣀⣀⡀⠻⣿⣶⣷⣶⣦⣄⡀⠀⠀⠀ ⣿⣿⣿⣤⣤⣈⣿⠈⠉⠉⣀⣿⣿⣿⣿⣿⣆⡀⣻⣷⣤⣿⣷⣤⣿⣧⣈⣹⣿⣿⣿⣷⣌⣛⢿⣾⣿⣧⣀⠀⢉⣻⠿⣿⣅⣤⣴⣶⣾⣋⠻⣿⣿⣿⣧⣬⣯⣽⣿⣿⣿⡿⠀⠀⠀
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