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⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣫⣿⢱⠾⡞⣷⢻⣿⣿⣃⣀⣤⣼⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⡿⠿⣿⣟⠯⠉⠙⠂⠀⠀⠀⣀⡀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠯⠟⠥⠿⠿⣭⣎⢇⣷⢱⡹⢏⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣿⣯⣽⣾⣿⣿⣿⣿⣰⣴⠀⣠⣒⡶⠖⠋⠁⣹⢳⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⡏⠻⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠙⢾⣶⣾⣿⢿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⢟⣙⢻⣿⣿⡫⣼⡾⠏⠩⡀⠢⡣⢈⢸⠻⡀⠀⠀ ⣿⣿⣿⣿⣿⣿⣧⡶⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⢿⣿⣿⣿⣿⣿⣿⣿⡌⣿⡈⣿⣩⢎⡇⠇⢠⠘⣸⠀⢇⠀⠈⣦⠃⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⢞⣛⠳⣄⡴⣾⣿⣮⣏⢿⢿⣿⣿⡿⠀⠀⢛⣿⣿⣿⣿⣿⣿⣧⡻⢇⣿⣹⣿⣮⡾⠀⠓⠒⠊⠀⠁⠀⡇⠠⠄⠠ ⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠀⠘⠏⠉⣿⣹⡟⣼⠧⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⣿⣿⣿⣿⡿⠁⠀⠀⣰⣶⣦⣀⠀⣿⣿⣿⣿ ⣿⣿⣽⣿⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡄⢹⣼⣶⣿⣾⣿⣿⣿⣿⣿⣿⣿⣯⣽⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⡟⠁⠀⢀⣼⣟⣛⢿⡯⣇⡟⢻⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⡀⠀⠀⢀⡀⠀⠀⠀⠀⢠⣸⣟⣉⣿⣿⣿⣿⣿⣿⡿⡿⣿⢿⡿⠿⠿⢿⣿⣿⣿⣫⢸⣿⣿⣿⠋⠘⠀⢐⣞⣿⠘⣿⠛⣿⣿⣅⢺⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣇⠀⠀⢾⣿⣶⣆⡀⠀⠀⠙⠋⣽⡟⣿⠾⢞⠿⢫⠏⢋⣸⣧⠙⢦⣀⠟⠛⢻⡟⠛⡇⣿⡿⠏⠀⡞⠛⣷⠐⡸⢆⣻⣢⠿⣙⣛⣼⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠘⠟⠻⣿⣿⣷⣄⣀⣴⣿⣝⡓⣨⡼⠶⠶⣶⠿⠁⠿⢶⣠⡽⠶⠶⣮⡀⡶⠶⡶⠷⢶⣄⡇⠀⣿⡴⠶⣦⡴⠶⠶⣦⠀⠘⢻⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣇⠀⠀⠀⠀⠀⢹⣿⣿⣿⣿⣿⡗⠀⣿⠀⠺⢷⣿⣶⠀⣶⢾⠋⢠⡶⣦⠈⣿⡇⠀⣶⣦⠀⣿⡇⠀⠟⢀⡾⣿⠀⠺⢷⣿⠀⠀⢰⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⡀⠀⠀⡼⡹⢿⣿⣿⡟⣷⠀⣼⠿⡶⠀⣹⣿⠀⠻⢾⣄⠘⠷⠟⢀⣿⡇⠀⣿⣿⠀⣿⡇⠀⣧⡈⢻⣾⠿⡶⠄⢹⡇⢠⢻⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⡓⢜⣕⠁⢸⣿⣿⣿⣿⠣⠻⠶⠶⠾⠋⠘⠷⠶⠾⠙⠳⠶⠶⢟⠉⠷⠶⢟⠻⠶⠿⠷⠶⠟⠷⠶⠿⠶⠶⠶⠛⠀⢀⣾⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣏⢹⣿⣾⣿⣿⣿⣿⣷⣤⣀⣀⣐⣿⣿⣟⣚⣛⣻⣷⣖⣶⠞⠒⢠⣴⣥⣶⣤⣤⣤⣤⣤⣤⣤⣤⣤⣀⣀⣀⣐⣾⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣡⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣼⡗⣿⣿⣿⢏⠖⢤⣾⣿⣿⣿⣿⣿⣫⡟⣿⣿⣟⣟⢿⣿⠟⣿⣿⡿⢿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣧⣿⣿⣷⠚⣠⣮⣽⣿⣿⣿⣿⣿⡟⣵⣿⣿⡿⣧⡺⡏⢧⢹⡟⣼⠸⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢹⢿⣿⣿⢫⣹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣾⣿⣿⣾⣿⣿⣶⣿

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