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⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣶⣤⣤⣤⣶⣦⣤⣤⣤⣄⣀⠀⠀⠀⠀⢠⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠰⣷⣶⣤⡀⠀⠀⣀⣤⣶⣿⡿⠿⣿⡟⠛⠉⣩⣿⣿⡿⠿⠿⢿⣿⣶⣤⡀⠘⣷⢸⣄⡀⣄⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠙⠻⣿⣷⣿⣿⠟⠉⠀⠀⠀⣿⡇⠀⣼⣿⠋⠀⠀⠀⠀⠀⠈⣹⣿⣿⣦⣽⣟⣿⣇⣿⣠⡀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⣿⣟⣻⣿⣷⣄⠀⠀⠀⣿⡇⢰⣿⡇⠀⠀⠀⠀⠀⠀⠸⣿⣽⡿⢿⣿⣿⣿⣿⣸⣿⣿⣇⠀ ⠀⠀⠀⠀⠀⠀⣠⣾⣿⡿⠿⠟⠿⣿⣿⢿⣿⣆⠀⠻⠇⢸⣿⡇⠀⠀⠀⠀⠀⠀⠀⠈⠉⠁⢀⣿⣿⣿⣿⣇⣿⣿⣿⠀ ⠀⠀⠀⠀⠀⣴⣿⡿⠿⢿⡆⠀⠀⣿⣿⠀⠉⠋⠀⠀⠀⠸⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⠛⢿⣿⣿⣿⣯⣿⠀ ⠀⠀⠀⢀⣾⣿⠋⠄⠀⣸⡿⠀⠀⣿⣿⠀⠀⠀⠀⠀⠀⠀⢻⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⡏⠀⠈⢿⣿⣿⣿⡙⠀ ⠀⠀⠀⣾⣿⣧⣤⣶⡾⠟⠁⠀⠀⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠻⣿⣧⡀⠀⠀⠀⠀⠀⢠⣿⡿⠀⠀⠀⠈⣿⣿⣿⣧⠀ ⠀⠀⣼⣿⡃⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣿⣦⡀⠀⠀⣠⣿⡿⠁⠀⠀⠀⠀⠸⣿⣿⣿⠄ ⠀⢰⣿⡿⣿⣷⣄⠀⠀⠀⠀⠀⠀⣿⣿⠁⠀⠀⠀⠀⢀⣀⣀⣀⣀⡀⠙⠿⣿⣷⣶⣿⡿⠁⠀⠀⠀⠀⢀⡀⢿⣿⣇⠀ ⠀⣼⣿⠁⠈⠻⢿⣷⣦⣤⣀⣀⣠⣿⡿⠀⢀⣤⣶⣿⠿⠿⢿⣿⡿⢿⣿⣶⣤⡉⠉⠁⠀⠀⠀⠀⠀⢰⣾⣧⢸⣿⣿⠀ ⠀⣿⣿⠀⠀⠀⠀⠉⠛⠻⠿⠿⠿⠛⠁⢠⣿⡟⢹⣿⡆⠀⣸⣿⣧⠀⣸⣿⣿⣿⣷⣄⠀⠀⠀⠀⠀⠀⣿⣿⡄⣿⣿⠀ ⠀⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣆⢸⡿⣿⣄⣿⠏⠻⠿⠟⠙⢿⣾⣿⣿⣦⡀⠀⠀⣤⠀⢸⣿⣿⣿⣿⡇ ⠀⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⢿⣿⠇⠈⠛⠋⠀⠀⠀⠀⠀⠀⠀⠉⠙⣿⣷⡄⢀⣸⡆⠀⢿⣿⣿⣿⠁ ⣀⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣯⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣿⣾⣿⣿⣷⣼⣿⣿⡿⠀ ⢹⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⡿⣿⣿⣿⠷⠀ ⣾⣿⣿⣧⠀⠀⢶⠀⣶⠀⠀⠀⠀⣾⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⡀⠀ ⢿⣼⣿⣿⡄⠀⠘⣇⢹⣇⠀⠀⠀⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡄⠀⢸⣿⣿⣿⡟⠁⠹⣧⠀ ⠘⣷⢻⣿⣿⡀⡀⢻⡄⣿⡀⣧⠀⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣶⣄⠀⣠⣶⣾⣧⣼⣿⣿⡿⣯⢻⡀⠀⠀⠀ ⠀⢻⣏⣿⢻⣿⣷⣾⣧⢸⣧⣿⡀⣿⡇⠀⠀⠀⣠⣤⣄⠀⣠⣶⣄⣾⡟⠹⣿⣿⣿⣭⣿⣿⡿⣿⠙⣇⠻⠈⠷⠀⠀⠀ ⠀⠈⣿⡜⣇⢿⡿⣿⣿⣾⣿⣟⣧⣿⡇⠀⠀⢸⣿⠉⢿⣿⣿⣻⣿⣿⣥⣴⣶⣿⣿⣿⠛⢿⣷⠸⣆⠉⠀⠀⠀⠀⠀⠀ ⠀⠀⠘⠷⢹⡌⠿⠻⠿⠿⠿⢿⣿⣿⣷⣶⣶⣾⣿⣶⣶⣿⠿⠟⠛⠛⠛⠉⠉⠁⠀⠘⠆⠈⠘⠃⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠃⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
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⠄⡀⠄⡀⢀⠀⡀⠄⢂⡁⢂⠰⠠⠑⣂⠱⢈⠆⡱⢈⠌⡱⢀⠣⢡⢺⡄⠀⢿⡲⢭⣋⢷⣩⠶⣍⣿⠀⠀⣼⣦⣄⠀⠀⣼⠏⠀⢀⣾⣟⣮⢷⣻⣗⣯⣟⡿⣽⣳⢯⣿⣳⣟⣯⡿⣷⣻⡽⣾⢽⣻⢷⣫⣟⣷⣻⣟⡾⣽⣳⡟⣾⡽⣯⣟⣽⣻⣞⣷⣻⡷⣯⢿⡽⣞⣻⣽⣳⢿⡵⣻⣷⣻⣞⣷⣻⣆⠙⢿⣽⣧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠙⣧⠑⠀⠁⠘⠀⠉⠂⡉⢄⠣⢌⠢⢑⠢⡱⣘⠁⠈⠁⠀⠀ ⡘⠄⠒⡈⠄⠒⡈⠤⢁⠐⡈⠄⡡⠡⠐⠌⢂⡘⠄⢃⡘⠄⢣⠘⢄⠊⠽⣆⠈⢿⣧⡹⣒⢧⣛⡼⠏⢀⣾⣁⣸⢾⠀⢰⡟⠀⢀⣾⣿⣟⡾⣯⢷⣾⡳⣾⣻⠷⣯⣟⣾⣳⠿⣼⣿⣳⢯⣟⡷⣯⠿⣽⣳⣟⡾⣷⣯⣟⡷⣯⢟⣳⣟⣧⣟⣾⣳⢯⣞⣷⣻⡽⣯⢿⡽⣷⣚⣯⢿⡽⣧⢿⣳⣟⡾⣳⢿⣆⠀⠙⢾⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢦⠀⠀⠀⠀⢀⠐⡌⢢⠉⢆⠢⡑⣊⠱⢄⠂⠀⠀⠀⠀ ⡐⠌⠡⢀⠃⡐⢀⠂⠤⢈⠐⠠⠄⡁⢊⠐⢂⠐⡈⠄⡐⠌⠄⠊⠤⢉⠂⠭⣷⣦⣌⣙⡛⣋⣉⣤⣶⡿⠈⠯⠤⠏⠀⣾⠁⠀⠸⣻⡿⣽⣳⢯⣿⢷⣹⣯⣟⣿⢳⣽⢷⣯⣿⣻⢷⣯⣟⡾⣽⢯⣟⣷⡻⣾⢽⣳⢿⡾⣽⢯⣟⣳⣟⣮⣟⡶⣯⣟⣾⣳⢯⡿⣽⣏⣿⣳⢿⡜⣯⡿⣽⣞⣷⢯⡿⣽⢯⡿⡆⠀⠀⠙⣷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢷⡀⠰⠐⣈⠒⡈⠤⢉⠢⢡⠑⠤⢋⠴⡉⢎⠱⢩⠄ ⠐⡈⢁⠀⢂⠐⠀⡈⠠⢀⠈⠐⢀⠐⠠⠈⠄⠂⠐⡈⠐⡈⠄⡉⠐⡠⠉⣼⡿⣽⣯⣟⡿⣽⢯⣟⣳⡇⠀⢀⡀⠀⢠⣾⠀⠀⢠⣿⣽⣳⢯⣟⣾⢣⣿⢾⡽⣮⡿⣯⣟⣾⣳⣿⣻⢞⡾⣽⣻⢾⡽⡾⣽⣳⢯⣟⣯⣟⣯⣟⣾⢳⣻⢮⣽⣻⣵⣻⢾⣝⣯⣟⣷⣻⠾⣽⢯⣿⣖⢿⣳⣟⣾⣯⢿⣽⣫⣟⣿⡄⠀⠀⠈⠳⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢷⠀⠁⠀⠀⠀⠀⠀⠁⠀⠉⠀⢃⠐⡈⢄⠊⠔⠈ ⠐⠀⠠⠈⠀⠄⠂⢀⠐⠀⠠⠈⢀⠀⠂⠐⢀⠈⠄⢀⠐⠀⡐⠀⡁⠠⢱⣿⣻⣿⣳⡟⣾⡽⣛⡾⣽⡇⠀⡏⢹⠀⢸⡧⠀⠀⣾⣳⢷⢯⣟⣾⢧⣻⡟⣯⣾⢷⣻⢷⣯⣟⡿⡾⣝⣯⣟⡷⣯⣻⣽⣿⣳⢯⣟⣾⣳⢿⡾⣽⣞⣯⣟⣯⣿⡷⣯⣽⣻⣾⣳⣟⣾⣽⣻⣽⣻⢮⣟⣯⣷⣻⣞⣿⣻⣞⣷⣻⣞⣷⡀⠀⠀⠀⠀⠀⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣧⠀⡀⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠀⠉⠀⠀ ⠀⠌⠀⠄⠁⡀⠂⠀⠄⠈⢀⠐⠀⠠⠈⠀⠄⠠⠀⠂⠀⠂⠀⠄⠀⡐⣼⣷⡟⣿⣳⡟⣷⣻⣽⣛⡷⣷⠒⠃⠸⠦⢴⣿⠀⢀⣿⡽⣯⣟⡾⣽⠮⣽⣹⣾⡽⣯⣟⡾⣽⢾⣽⣻⣽⣞⣳⣟⣳⢯⡟⣿⣽⣻⢾⣷⣯⣟⣿⣳⡿⣼⣞⡷⣿⣿⡷⣯⢷⣿⣳⢿⣞⣷⣻⣞⣿⣟⣾⣳⢯⣷⣻⣞⣷⣻⣼⣳⣟⡾⣧⠀⠀⠀⠀⠀⠈⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣇⠀⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢀⠂⠀⠂⠀⠄⠁⠠⠈⠀⡀⠈⠀⠄⠁⠠⠀⠂⠀⢁⠀⠁⡀⠂⠀⣿⡾⢡⣿⣳⡟⣷⣻⡼⣏⣿⣻⡄⠀⠀⠀⠈⣿⡀⢸⣯⣟⣾⢳⡿⣭⣳⣟⡷⣯⢷⣻⣾⢿⡽⣯⣾⠋⣿⣞⡷⣯⣟⣿⠃⢹⣷⣯⢿⣿⣷⣻⢾⣽⣻⢷⣫⢿⡇⢻⣿⡽⣯⣿⣿⣻⣞⣷⡻⣞⣿⣿⡾⣽⣻⣿⣷⣻⣞⡷⣯⢷⢯⡿⣽⡄⠀⠀⠀⠀⠀⢻⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⡄⠀⠐⠀⠐⠀⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⡀⠂⠁⠠⠀⠂⠀⠄⠁⠀⡀⠁⠀⠐⠀⠠⠀⠁⠀⡀⠂⠀⢀⢈⣿⠇⢸⣯⢷⣻⣗⣯⣽⣻⢞⣽⣧⡀⠀⠂⠀⠈⣇⣾⢷⣛⡾⣯⢟⣷⡿⣭⣟⡾⣯⣿⣿⢯⣟⣷⠇⠀⢸⣿⡽⣾⣽⣿⠀⠸⣿⣞⣿⡁⣿⣯⣟⡾⣭⢿⣽⣻⠀⠈⢿⣟⣷⣿⢻⣿⣞⣷⣻⡽⡟⢿⣟⣷⣻⣿⣾⣷⢯⡿⣽⢯⡿⣽⢯⣷⠀⠀⠀⠀⠀⢸⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢷⠀⠀⠈⠀⠠⠀⠀⠄⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢀⠀⠐⠀⠀⠐⠀⢀⠠⠀⠀⠀⠁⠀⠐⠀⠀⠈⠀⠀⠀⠄⠀⢠⣿⠀⢸⣯⣟⡷⣞⣳⡽⣞⡿⢾⣽⣻⢿⡿⣶⣶⣿⡿⣯⢿⡽⣽⣻⣿⣽⣳⢯⣟⣷⡿⣟⡿⣾⡏⠀⠀⠀⢿⣟⣧⣿⡿⠀⠀⢻⣿⣾⠀⢸⣷⣯⠿⣽⢯⣞⡿⠀⠀⠘⣿⣾⢿⡀⢿⣟⣾⣳⣟⡏⠘⣿⡾⣽⢿⣷⣻⣯⢿⡽⣯⢿⣽⢯⣿⡀⠀⠀⠀⠀⠘⡏⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡷⠀⠀⠀⠀⠘⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⡀⠀⠈⠀⠀⠀⠀⠀⠀⠁⠀⠈⠀⠀⠈⠀⠀⠐⠀⠀⠀⠀⠋⠀⢸⣷⣻⢾⣽⣳⢿⣹⣽⣻⣞⣭⢿⣽⣳⠿⣼⣻⣽⣳⡟⣷⣿⣿⡾⣽⣻⣞⡿⢸⡿⣽⡟⠀⠀⠀⠀⠈⣿⣷⣻⡇⠀⠀⠀⢻⣿⠀⠀⢿⣯⡿⣽⣻⢾⡇⠀⠀⠀⠸⣿⣿⡇⠈⢿⣷⣻⢾⣏⠀⢹⣿⣿⠌⣿⣯⣿⣯⢿⡽⣯⡟⣿⣞⣇⠀⠀⠀⠀⠀⢷⢰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⡀⠀⠀⠀⠀⢳⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ 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⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠊⠀⠘⣷⣽⡿⠿⣿⢿⣿⣿⣿⣿⡷⣿⡿⣽⣫⣽⢻⣼⣻⡇⠀⠈⠢⡀⠀⠀⠀⠀⠹⡄⠀⠀⠈⠓⢄⠀⠀⠀⠼⣇⠆⢀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⣀⠀⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡞⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢦⡀⠙⢆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠑⣄⠀ ⠀⠀⠀⡀⠄⠤⢄⣀⣀⣀⠀⠀⠀⠑⠀⣀⠤⠊⠀⠀⠀⣽⣴⡆⠅⡹⣡⣿⣿⣛⡾⣽⣿⣻⣵⡻⣼⣛⡶⣏⣿⠀⠀⠀⠈⠢⡀⠀⠀⠀⠘⡄⠀⠀⠀⠀⠑⢄⠀⠀⠀⠃⣼⡼⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⣀⠤⠤⣀⣀⣀⡀⢀⡴⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠌⠑⢦⡈⠳⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢴⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠈⢧ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠳⠤⠤⡄⠀⠀⠀⠀⠀⠀⠀⣸⣿⣷⣾⣿⣿⢻⣞⣽⣻⣿⢷⢯⣶⢻⣳⡽⣳⣛⡾⣇⠀⠀⠀⠀⠈⠢⡀⠀⠀⠸⡄⠀⠀⠀⠀⠀⠙⠢⡀⠀⠀⠀⠟⠿⠀⠀⠀⠀⠀⠀⠀⡠⠤⠒⠑⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⡻⠁⠀⠀⠀⠀⠀⠀⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡴⠃⠀⠀⠀⠙⠢⣝⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢼⡆⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠙⣆⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠢⢤⡀⠀⠀⠀⠀⣽⣿⣿⣿⣻⢞⣿⣺⣷⣿⣿⢯⣟⡾⣏⣷⢻⡵⣯⢽⣻⡄⠀⠀⠀⠀⠀⠈⠢⢀⠀⠘⢄⢰⣷⣄⠀⠀⠀⠈⠐⢄⡀⠀⠀⠀⠀⠀⠀⢀⣀⡞⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡼⠁⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡞⠁⠀⠀⠀⠀⠀⠀⠀⠉⠻⢦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢧⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠇⠀⣠⣴⣾⣿⡿⣯⢷⢯⣟⣾⣿⣿⣿⢯⣟⡾⣽⣻⡼⣯⢷⣫⢯⡽⣿⠀⠀⠀⠀⠀⠀⠀⠀⠑⢄⠈⠂⠩⠻⢷⠀⠀⠀⠀⠀⠈⠒⠤⣀⣀⠴⠊⠁⠘⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⠁⠀⠀⠀⠀⠀⠀⠀⠀⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠞⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠓⠤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⡇⠀⠀⠀⢸⡃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢳⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣷⣿⢻⣳⣿⢯⣟⣳⢯⣟⣾⣿⣿⣿⣟⣿⣺⣽⣳⢯⢷⢯⣷⢫⣯⣽⣻⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠑⠢⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠞⠁⠀⠀⠀⠀⢳⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠃⠀⠀⢠⡆⠀⠀⠀⠀⠀⢿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡇⠀⠀⠀⣼⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢂⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣞⣿⡿⣽⣛⡾⣽⣻⢾⣿⣿⣿⣿⡽⣶⣻⢶⣯⡟⣯⢷⣞⣟⡶⣳⢯⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠢⣀⠀⠀⠀⠀⢀⠜⠁⠀⠀⠀⠀⠀⠀⠀⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡞⠀⠀⠀⣸⠃⠀⠀⠀⠀⠀⠸⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠃⠀⠀⢀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡿⣝⡷⢯⣻⢷⣯⣿⣿⣿⣿⣷⣻⠷⣯⣟⣶⣻⡽⢯⣞⡾⡽⣽⣳⣻⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠒⢤⡴⠋⠀⠀⠀⠀⡇⠀⠀⠀⠀⠘⣦⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⠃⠀⠀⢠⣿⠀⠀⠀⠀⠀⠀⠀⢻⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⢀⡟⠀⠀⠀⡼⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢃ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣽⣛⣯⡟⣷⣿⣿⣿⣿⡿⣾⣽⡻⣗⣿⡺⣗⣿⢻⡾⣽⡽⡶⣏⣷⣻⣿⣆⠈⠠⠀⠀⠀⢀⡠⠔⠊⠉⠀⠉⠉⢩⠟⠀⠀⠀⠀⠀⠀⣇⠀⠀⠀⠀⠀⢻⣆⠀⠁⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⢸⢿⠀⠀⠀⠀⠀⠀⠀⠀⠻⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡆⡼⠁⠀⠀⡸⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣾⡽⡾⣽⣻⣿⣿⣿⣿⣟⣷⣳⢿⡽⣶⣻⡽⣞⣯⣟⣳⡽⢯⣷⡳⣽⣻⣿⣆⠀⢁⡤⠚⠁⠀⠀⢀⣠⠴⢒⡴⠃⠀⠀⠀⠀⠀⠀⠀⣯⠀⠀⠀⠀⠀⠀⢙⢳⡄⠈⠢⠀⠀⠀⠀⠀⢸⠀⠀⠀⢽⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⣼⠃⠀⠀⡰⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⡿⣽⣳⣿⣿⣿⣽⡿⣞⡷⣯⢿⣽⣳⢯⡿⣽⢾⣹⢷⣻⢟⣶⣻⣳⡽⣿⠿⠚⠉⠀⠀⠀⠀⠀⣯⣿⢠⣾⠁⠀⠀⠀⠀⠀⠀⠀⠀⢹⠀⠀⠀⠀⠀⠀⠈⠣⢷⡀⠀⠀⠀⠀⠀⠀⠸⡄⠀⠀⢺⢸⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⠇⠀⢀⡴⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣷⢯⣿⣿⣯⣿⢿⣽⣻⣽⣻⢾⡽⣯⢿⣭⢿⡽⣯⢯⣿⠾⠗⠛⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⡇⣿⠏⠸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⡆⠀⠀⠀⠀⠀⠀⠈⠣⡛⢶⠀⠀⠀⠀⠀⠀⢧⠀⠀⢹⠀⢧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣐⡿⢃⢀⡴⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁
⢣⠎⡱⢎⣼⡟⠛⢫⣽⣿⣿⣿⣿⣿⣿⣿⠿⣿⣿⢷⣛⢫⡙⡌⢧⡙⣌⠳⣌⢣⠝⣢⡙⢆⣣⠓⡜⣌⢣⡙⣌⢣⡹⢌⣣⠹⣌⢣⡙⡬⢃⢧⡙⢦⡙⢦⠹⣌⢣⢓⡬⢓⣌⠳⣌⠳⣌⠳⣌⠳⣌⠳⣌⢣⡙⡬⢣⡙⡜⣌⠳⣌⢣⠝⣢⠝⣌⢣⢣⡙⢦⡙⡜⣌⢣⠝⣢ ⣃⠮⡱⢩⠜⡧⢾⣿⣿⣿⣿⣿⣿⡿⣋⠾⣟⢫⡑⢎⡜⡢⣕⠪⡕⠼⣈⠳⣌⢎⠼⡡⢎⡕⢢⠹⣘⠬⢲⠹⡰⢣⠜⣡⠖⣣⠌⢧⠜⣡⢋⠦⡙⢦⣑⠎⡵⣈⢎⠲⣌⢣⢌⠳⣌⠳⣌⠳⣌⠳⣌⠳⣌⢣⡜⢥⢣⡙⡴⣉⠶⣉⢦⢋⢦⡙⠦⡍⡖⣩⠖⣩⠖⣩⢎⡚⠴ ⢌⠲⡅⢧⡚⢴⣿⣿⣿⢿⣻⣿⢯⠱⣌⣲⣡⣖⣩⣒⡬⠱⣌⠳⣌⠳⣉⠳⡌⢎⠶⣉⠖⣌⢣⣓⣬⠾⠵⠒⢱⣣⠹⣄⢫⠔⡫⢜⣸⣡⣎⡖⡩⠁⢈⠞⡰⣡⢎⡱⢌⡲⣌⠳⣌⠳⣌⠳⣌⠳⣌⠳⣌⠲⡘⢎⠲⣉⠖⡱⢊⡕⢪⠜⣢⢙⠲⣉⠖⣡⠞⡡⢎⡱⢊⡵⢩ ⢌⠳⡘⠦⣙⣾⣿⡿⢯⣿⣿⠟⣤⣷⠟⡩⢅⠦⣤⣍⣙⡳⣮⡱⠌⢣⠍⡖⡩⢌⣲⣥⡾⢛⣫⡭⢤⣔⣶⢾⡋⡔⢣⡌⢦⡙⡔⠣⡜⣇⠀⢻⣽⠶⡞⢫⠔⣡⢎⣴⣿⠁⣸⣅⢎⡱⢌⡓⢌⠣⣌⠓⣌⢣⡙⢬⠓⣌⢎⡱⢣⠜⣡⠞⡤⢋⢖⡡⢞⡡⢎⡱⢊⡴⢩⡒⠥ ⡌⢖⡉⢖⣿⣿⡿⣽⣻⣿⣯⣾⣿⣻⣷⣯⡬⣽⡟⡤⢩⠙⢮⣻⣎⠦⡙⡰⣱⣾⣫⣵⢿⡻⣷⣿⢟⣫⡑⠦⡱⣈⠣⢜⠢⡜⣌⠳⢨⡙⢶⡾⢋⠖⣡⢃⠞⣺⡏⠉⠁⠀⠉⠙⣶⡈⢦⡙⣌⠓⣌⠳⢌⠦⣙⢢⡙⡔⢪⠔⡣⢎⡱⡘⠴⣉⠦⡑⢎⡔⢣⠜⡡⢎⡱⢌⢣ ⠜⣢⣭⡟⣼⣟⢷⣻⣿⣿⣯⠷⠟⠛⢯⣙⡱⣿⣿⣟⣦⣉⠆⡌⢻⣇⡲⣡⣿⣯⣽⣾⣵⣚⠤⣠⢈⠉⡙⠛⠳⢮⣕⣊⣱⡒⢌⠥⣃⠜⢢⠜⣡⠚⢤⠋⡔⣡⢿⠃⢀⡀⢰⡿⢣⡘⢆⡱⢌⠣⡜⢌⠎⡴⠡⢆⡱⢌⠣⢎⡱⢢⠱⢌⡓⢌⡒⡍⠲⢌⡱⢊⠵⣈⠖⣩⢂ ⠚⣡⡞⢠⣿⡻⣾⣿⣿⠟⠀⣀⣤⠶⢶⢦⣥⣑⡊⢝⠻⣷⣾⡁⣶⠟⠛⣿⣿⡿⠀⠈⣿⠹⠻⣶⣦⣳⣌⡛⣖⣶⠛⣉⡉⠹⣷⡟⠛⢻⡆⠹⣄⢋⠦⣙⡐⢆⠻⠶⢟⠳⠟⢣⠡⠜⠢⠜⣌⠣⡜⣨⠚⡴⢉⠦⣑⠪⡑⠎⡔⢃⠣⠎⡜⢢⠱⢌⠳⢌⡒⢩⠆⡱⢊⡔⢊ ⣾⡟⢀⣿⣟⣷⣿⣿⣡⠶⣛⡹⣤⣛⣞⣮⣷⣯⢿⡶⣷⣯⣿⣿⣿⠀⠀⢾⣻⣿⠀⠀⣿⡢⡑⠴⣨⢙⡛⠷⣿⡁⠀⠿⠃⢀⣿⠀⠀⢸⡇⢣⡐⢊⠴⡡⢘⠢⣉⠜⡨⡑⠪⠅⢮⣼⢵⣎⢀⠣⠔⣡⠊⡔⢡⠒⡤⢣⠱⣉⠒⡍⠲⣑⠸⢄⠳⢌⠲⠡⡜⢡⠊⡕⢢⠜⢢ ⡟⠀⣼⣿⡽⣾⣿⣿⣿⡿⣿⣿⣳⡿⣿⣟⡯⢿⣿⣿⣷⣾⣿⣿⣿⠀⠀⢸⣿⣿⠀⠀⢸⡗⣌⢱⣤⡿⣼⠽⣿⣷⡦⠤⢶⣿⣿⠀⠀⢸⡌⢥⡼⠗⠚⠶⣧⡷⠞⢾⣆⢡⣉⣼⣿⠀⠀⢻⣄⣧⠽⠶⣥⣌⠡⢃⠆⡅⡒⠤⣉⠔⠣⢄⠣⢌⠒⡌⢒⡡⠜⡠⠓⡌⠒⣌⠢ ⠀⢰⣿⢧⣿⣿⣿⠿⢛⠡⢡⣶⣯⣟⣿⣿⣿⣿⣾⣿⣿⣿⣿⣷⣿⡀⠀⠸⠿⠿⠀⠀⢸⣿⡞⠋⠀⠀⠀⠀⠘⣿⡇⠀⠈⣿⣿⠀⠀⣾⡼⠋⢄⣠⣤⣀⠸⡇⠀⠀⣏⣴⠏⠉⢹⣆⠀⣸⠏⠐⢤⡀⠀⠙⣷⢈⠒⠤⡑⢂⠦⡘⢡⠊⠴⣈⠒⡌⠢⠔⡡⢒⠡⡌⠣⢄⢃ ⠀⣾⣟⣿⣿⡟⠙⠒⠓⡾⢟⡛⣽⣯⣿⣿⢿⣿⢿⣻⣽⡟⠙⣿⣿⡇⠀⠀⢀⣀⠀⠀⢸⡏⠀⢠⡾⢿⣷⠀⠀⢻⣧⠀⠀⣿⣿⠀⠀⣿⠁⠀⢸⣿⣤⠏⠀⣧⠀⠀⢿⡟⠀⠀⣾⣟⣿⣿⡄⠀⠘⢿⣀⢀⣾⠂⡍⢂⠱⡈⠆⡑⢢⢉⠒⡄⠣⢌⠱⡈⠔⡡⠒⡌⠱⣈⠂ ⢸⣟⣾⣿⣿⣤⢒⣬⣿⣾⣿⣻⣽⣾⢋⣴⡿⢉⡲⣝⡿⣷⣾⡟⣿⡇⠀⢸⣿⣿⡁⠀⢸⡅⠀⢸⣧⣼⡿⠀⠀⢸⣿⠀⠀⢹⡟⠀⠀⣯⠀⠀⣬⣩⣀⣤⣴⣿⡄⠀⠘⠁⠀⣸⣳⠏⠀⠈⣿⣆⠀⠈⢿⡋⡱⠋⠰⠁⠢⡑⢌⠰⡁⢌⠒⡈⢅⠊⠤⡑⢌⠰⠡⢌⠑⠤⢁ ⡿⣾⣿⣿⣿⣾⣿⡿⣟⡾⣿⣿⣻⡇⣼⡏⣶⢡⢫⣿⡹⣝⣯⢜⣿⡇⠀⢸⡿⣿⡇⠀⠘⣷⡀⠀⠙⠛⠁⠀⠀⠘⣿⡀⠀⢸⡇⠀⠀⣿⡄⠀⠉⠉⠉⠉⠉⠙⣿⡄⠀⠀⢰⡏⣿⡆⠀⠘⠻⠟⠀⠀⣾⠁⢧⡤⠞⡈⡐⠌⡠⠡⠌⢂⠌⡐⢂⢉⠰⢀⠊⠄⠃⡌⢈⠒⠠ ⣿⣿⣿⣿⣿⣿⢯⡙⡾⢱⣿⣷⣻⢸⢧⣙⣿⢦⣿⢞⡵⣻⢎⣾⣻⣷⣤⣾⡇⣿⡇⠀⠐⣿⢿⣶⣤⣤⢶⣷⣤⡴⠿⢷⠲⣿⣷⣤⣴⠛⢿⡿⠶⠶⠶⠶⠖⠾⠟⠃⠀⢠⡏⠠⠙⣿⣦⣀⣀⣀⣤⠞⢃⠈⡄⠐⡠⠐⡐⠄⡁⠢⠌⡀⠆⡐⠂⠌⡐⢂⠡⢈⠡⠐⡈⠤⠁ ⣿⣿⣿⣿⣿⡛⣆⢱⠃⣸⣿⡾⣽⠸⢢⣽⣿⣿⣯⣟⠶⣏⠾⣎⢷⣿⡿⣧⢧⢻⣷⣤⡴⡿⣎⠹⣦⢇⠢⢹⣦⠱⡌⢦⣧⠐⠌⡠⠑⡌⣾⣧⣀⠀⢀⠀⡀⣀⣀⣀⣴⡏⠰⣁⠂⠄⣽⠽⢭⡄⡀⠢⢀⠡⢀⠃⠄⠡⠐⡀⢂⠁⢂⠐⠄⠠⢁⠒⢀⠂⡐⠂⠄⢃⠰⢀⠡ ⣿⣿⡏⣾⠧⢑⢮⠋⡐⣸⣿⣻⡽⢨⡷⢫⣿⣿⣿⣿⡏⠚⡌⢯⣟⡿⣼⢳⡇⣅⠲⣀⣶⠿⠚⠛⠛⠾⢦⡁⢿⣥⢋⡴⢚⣷⡈⠔⢣⡞⠛⠉⠙⠛⠋⠛⠛⠹⣿⠁⠈⢿⠀⠠⠁⣾⡏⠀⠀⡗⢀⠁⠂⠄⠂⡐⠈⡀⠡⠐⠠⠈⠄⡈⠄⠡⠀⠂⠄⢂⠐⠈⠄⠂⠄⠂⡀ ⣿⡿⢠⠙⡲⢈⠚⠀⣴⣿⣟⡷⣫⠟⡬⣹⣿⣿⣿⡿⣁⠣⢜⣹⣾⢿⣼⣻⠔⡨⣶⠏⠁⠀⣀⣀⡀⠀⠈⢳⣌⣿⣆⣈⣣⣚⣇⠘⢿⣧⣤⣤⣄⠀⠀⣤⣤⣴⣿⠀⠀⢸⣇⣠⠁⣾⡇⠀⠀⣏⠀⠌⠐⠠⠁⡐⠠⢀⠡⢀⠡⠈⡀⠄⠂⠄⠡⠈⠐⡀⠌⠐⢈⠠⠈⡐⠀ ⣿⠇⠠⠐⡭⢩⠀⡁⣿⣿⣏⠞⡵⢋⢶⣿⣿⣿⣿⣳⣳⠘⡦⣿⢯⣿⣾⣛⠦⣽⠃⠀⣠⣾⣻⠿⣿⣆⠀⠀⣿⠀⠈⠋⠉⠉⠉⢻⡄⠠⢄⢺⣿⠀⠀⣿⡌⠉⠉⠀⠀⠀⠀⠉⢳⣾⡇⠀⠀⡧⠐⠈⠄⡁⠐⠠⠐⠀⠂⠄⡐⠠⠐⠠⠈⠐⡀⢁⠂⠄⡐⠈⡀⠄⢂⠀⠂ ⡿⠀⠡⠀⠽⡱⠀⢸⣿⡿⡌⣿⣔⣻⣿⣿⣿⣿⣿⣷⣯⢛⣼⢯⣿⡷⠿⣽⣿⡇⠀⢠⣿⣿⡏⠀⣸⣿⠀⠀⣿⠀⠀⢰⣿⣶⠀⠀⣷⠀⠊⢸⣿⠀⠀⢹⠿⠶⣶⠀⠀⢰⡖⠒⠋⣾⡇⠀⠰⡇⢀⠡⠀⠄⠁⠂⠈⠄⠡⢀⠐⢀⠂⠁⠌⡀⠐⠠⢀⠂⢀⠂⠄⠂⠠⠈⠄ ⠃⠈⠄⠂⠹⡅⠐⣼⣿⢿⡱⣻⣿⣿⣿⣿⣿⣿⣿⣿⣇⢯⣾⣟⣿⣤⡤⣼⣿⡇⠀⠸⡇⣿⢿⣿⣻⡟⠀⢀⣿⠀⠀⢸⣿⣿⠀⠀⣿⠀⠡⠘⣿⠀⠀⢸⡄⠀⣿⡇⠀⢸⠆⠁⠄⣿⡃⠀⢐⡇⠠⠐⠈⡀⠀⠄⡐⠈⠠⠀⠌⠀⠄⠡⠀⠄⢁⠂⠄⡐⠀⠂⠄⢁⠂⠁⠄ ⠀⡁⠂⡐⠈⢀⠰⢸⣟⢯⣷⡟⣿⣿⣯⣿⢿⣿⣟⣾⣯⢿⣾⣯⣿⣿⠟⠁⢸⣷⡀⠀⠙⢿⣼⠿⠋⠀⢀⡾⣿⠀⠀⢸⠎⣿⠀⠀⢽⡀⣂⣩⣿⠀⠀⢸⣧⣀⣿⡇⠀⠀⡇⢈⠀⢿⣷⣤⠾⢃⣤⠂⢁⠠⠁⡐⠀⠌⡀⢁⠂⢁⠈⠄⡈⠄⠂⡀⠂⠄⡈⠐⢈⠀⠄⡁⠂ ⠀⠄⢁⠠⠐⠀⢂⢸⣏⢾⠃⠀⣹⣿⣿⣿⣿⣿⣿⡿⣾⣿⣿⡿⠋⠀⠁⣶⠈⣿⣷⣄⡀⠀⠀⠀⣀⡴⠋⠀⣿⣆⠀⣸⠃⣿⣇⢀⡼⣿⡁⠀⠀⠀⠀⠀⠀⠀⢘⣧⠀⢀⡇⢀⣢⠞⠋⠉⣽⣿⡋⢀⠂⠄⠂⠠⢈⠀⡐⠠⠐⠀⠌⠀⠄⡐⠠⢀⠡⠀⠄⠁⢂⠈⡀⠐⡀ ⠀⠌⠀⠄⠂⡁⠨⢸⡇⠀⡐⣴⣿⣛⢿⣿⣿⣿⣿⢿⣿⠿⠋⢀⠠⠈⠄⣻⢰⡏⠈⠙⠛⠛⠛⠉⢉⠁⠄⠡⠘⢉⠉⡁⠄⢈⠉⠁⡈⠛⠿⠳⠟⠻⠛⠟⠛⠛⠛⠿⠓⠋⠀⣾⡇⠘⢷⡾⠋⢈⡇⠠⠐⢀⠁⠂⠄⠂⠠⠐⢈⠠⠈⡐⠠⢀⠂⠄⠐⢈⠠⠁⡀⢂⠠⠁⡀ ⠀⠌⠐⠈⠠⢀⠁⠠⢀⢢⡞⣹⢆⣿⣿⠟⢁⣾⠿⠋⠁⡀⠐⠠⢀⠂⠄⢹⠏⠀⠄⡁⠂⡐⠈⡐⠀⠌⢀⠂⡐⠀⠂⠄⡐⠠⠈⠐⡀⠐⠠⢀⠐⡀⢂⠈⠰⠄⠆⠀⠄⡁⠂⢹⣷⣀⣈⣀⣠⠾⠁⠐⢈⠀⠄⡁⠂⠌⠐⡀⠂⠠⠁⠠⠐⠀⠄⡈⠐⠠⢀⠂⠐⡀⠄⠂⠀ ⠀⠌⢀⠁⠂⠄⡈⠄⣠⠞⣴⢯⣾⡿⠁⡀⢈⠁⠄⠂⢁⠠⠈⠄⡀⢂⡈⠠⠀⠌⡀⠐⠠⢀⠁⠄⡈⠄⠂⠠⢀⠡⠈⡀⠄⠠⠁⢂⠠⠁⠂⠄⠂⠠⠀⠌⢀⠀⠘⠀⢂⠐⠈⡀⢈⠉⠋⠉⢀⠠⠀⡁⠂⢈⠀⡐⠀⠂⡁⠠⢈⠐⠈⡀⠂⠡⠐⠀⠡⠐⠀⠠⠁⠀⠀⠀⠀ ⠀⠂⠄⡈⠐⠠⢀⣰⠋⣼⢯⣿⡿⠁⠐⡀⠂⢈⠠⠈⡀⠐⣠⠶⢚⣫⣭⣭⣤⡂⢀⠁⠂⠄⡈⠀⠄⡐⠈⠄⠂⡀⠂⠄⠂⢁⠐⠠⢀⠂⢁⠐⠈⡀⠡⠐⠈⡀⠠⠁⡀⠂⢁⡀⠈⠀⠌⠐⡀⠄⠂⡀⠡⠀⢂⠀⡁⢂⠀⡁⢀⠂⢁⠠⠈⠐⡀⠁⠂⠀⠁⠀⠀⠀⠀⠀⠀ ⠀⠡⢀⠐⠈⠠⣰⠋⣴⢯⣿⡿⠁⠠⠁⠠⠈⡀⠄⠂⣀⡿⣩⣾⣿⣿⣿⣿⣿⣿⡄⠠⠁⠠⢀⠡⠐⠀⠂⠄⢁⠀⠂⠄⠁⠂⡈⠄⢀⠂⠄⢈⠐⢀⠐⠠⠁⡀⠂⢁⠠⠈⡀⢀⠠⠐⠈⡀⠄⠐⠠⠐⠀⠡⠀⢂⠠⠀⢂⠀⠂⡀⠂⠠⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀ ⠀⢂⠀⠂⢁⣰⠇⣰⣯⣿⡿⠁⢀⠂⠁⠄⢁⠠⠐⠀⢼⢱⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣬⣤⣄⡀⠂⡁⠌⢀⠂⢈⠐⠈⠠⠁⠠⠐⠀⠄⡈⠀⠄⠂⡀⢂⠐⠀⡁⠠⠀⢂⠠⠀⠄⠂⢁⠠⠐⠈⠠⢀⠁⠂⢁⠠⠀⠂⠄⠂⠁⠀⠀⠁⠀⠀⠀⠀⠀⡀⠠⠀⠂⢈⠀⠠⠁ ⠀⠄⠂⠁⣼⠃⢠⣟⣾⡿⠁⠀⠄⠐⠈⡀⠂⢀⠂⢁⢸⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣤⡐⠀⡐⠀⠂⢁⠐⠈⡀⠂⠁⠄⠠⠁⡐⠠⠐⠀⡀⢂⠀⡁⠐⢀⠀⠂⡐⠈⢀⠠⠀⠡⠐⠀⠠⠁⠠⠀⠂⠁⠠⠀⠀⠄⠀⡀⠄⠐⠈⢀⠐⠀⠄⠂⢁⠀⠂⢁⠀ ⠀⡐⠀⣱⠃⢠⣟⣾⣿⠃⠀⠡⠐⠈⡀⠐⠈⡀⠄⠂⠈⣧⣿⣿⣿⣿⣿⣿⣿⣿⢿⠻⣿⣿⣿⣿⡿⣿⡧⠐⠀⡈⠐⢀⠈⠄⠐⠈⠠⠈⡀⠐⠀⠄⠂⠁⠠⠀⠄⠐⠈⢀⠠⠁⢀⠐⠀⡀⠂⠁⠠⠈⠀⠄⠁⡀⠂⠈⢀⠀⠂⢀⠐⠀⠀⠂⠀⠂⢀⠈⠀⡐⠀⠠⠈⢀⠀ ⠀⢀⢰⠇⢠⡿⣽⣿⠃⠀⡐⠀⠄⠁⡀⠂⠁⡀⠄⠂⣱⠏⣸⣿⣿⣿⣿⣿⡿⠶⣾⣿⣿⡈⢛⣿⠿⠿⣿⣆⠐⠀⠌⠀⠄⠂⢈⠀⡁⠐⠀⡁⢈⠠⠀⠡⠐⠀⡈⠀⠌⠀⡀⠐⠀⡀⠂⠀⠄⠁⡀⠂⠁⢀⠂⠀⠄⠁⡀⠠⠈⠀⠀⠀⠁⠀⠂⠀⠀⠠⠐⠀⢀⠂⠐⠀⡀ ⠀⢠⡏⢀⣾⣹⣿⠏⠀⠠⠀⠐⠈⠀⠄⠠⠁⠀⠄⢢⣿⣴⣿⣿⣿⣿⣿⣿⣇⡞⢩⡍⠀⣿⣾⣛⠙⣇⣸⠇⠀⠌⢀⠈⡀⠌⠀⠠⠐⠈⠀⠄⡀⠄⠂⠁⡀⠂⢀⠐⠀⠄⠀⡐⠀⠀⠄⠁⠀⠂⠀⠐⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠐⠀⠠⠀⠐⠀⠀⠂⢀⠀ ⢀⠟⠀⡾⣵⣿⡏⠀⠀⠂⠀⡁⠠⠁⠀⠄⠂⠁⠠⠀⢾⣿⣿⣿⣿⣿⠉⣿⡿⣽⣶⣤⣴⣏⣻⣭⡴⣯⠟⠀⢈⠀⠄⠀⠄⠠⠈⢀⠐⠈⠀⠄⢀⠠⠐⠀⡀⠐⠀⠀⠂⢀⠐⠀⠀⠁⠀⠀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠁⠀⠀⠂⠀⠐⠀⠈⠀⠐⠀⠀ ⠎⠀⣼⣻⣼⡿⠀⠀⠁⡀⠁⠀⠠⠀⠁⣠⣤⢦⣗⣦⡝⣹⣿⣿⣿⣿⣷⣿⣗⠌⢋⢿⣅⣚⠁⢽⢻⠇⠀⢀⠂⠀⡐⠈⠀⠄⠂⢀⠠⠈⠀⠄⠂⠀⠠⠀⠀⠄⠈⠀⠄⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠠⠀⠂⠀⠀⠀⠀⠂⠈⠀⠀⠈⠀⠀⠂⠁⠀⢀⠀ ⠀⢈⣧⢹⣿⠁⠀⠀⠀⠀⠀⠁⠀⠀⢠⣿⠛⢻⣿⣏⣤⣿⣿⣿⣿⣿⣿⣿⣿⣼⣀⠈⡙⣿⠛⣹⡏⠀⠀⠀⠀⠀⠀⢀⠈⠀⢀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢠⡟⣾⣿⠇⠀⠀⠀⡀⠀⠂⠀⠁⠀⡏⣿⣾⣿⡟⣿⠿⡟⣿⣿⡧⣿⣿⣿⣟⠀⢹⣷⡶⠶⠞⠛⠷⠀⠠⠀⠂⠀⠄⠀⡀⠂⠀⠀⠂⢀⠀⠄⠂⠀⠈⠀⠀⠐⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⡿⣼⣿⡟⠀⠀⠀⠀⠀⢀⠀⠐⠈⠀⢰⣿⣷⣾⣾⣷⡯⢿⡿⣽⣿⣿⣿⣿⣿⣿⣿⣿⠗⠶⣦⣄⠀⠀⠄⠀⠐⠀⠀⠄⠀⢀⠈⠀⠠⠀⠀⠀⢀⠀⠂⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⡿⠀⠀⠀⠀⠐⠀⠀⠀⠀⢀⠀⠘⣿⣧⣿⣧⣾⣿⣧⣿⣿⡿⠟⠉⠉⢻⣿⣿⣿⣆⠀⠘⣿⣷⡄⠀⠀⠂⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣃⣿⣟⣹⣿⡇⠀⠀⠀⢸⡏⠁⢿⣿⠓⢦⡘⢿⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⡐⢶⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣾⣿⣿⣿⣿⣻⡶⠏⠀⠀⠀⠀⢧⢀⣿⣹⣆⣀⣿⡄⠹⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠉⠋⣻⣿⣿⣷⣠⡴⠂⢀⠀⠀⠀⠀⠀⠀ ⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠋⠉⠉⠉⠉⠉⠉⠀⠀⠀⠀⠀⠀⠸⣯⠣⣖⡩⣍⢻⡇⠀⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⢀⣤⡶⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣇⢀⡲⠾⠇⢃⠐⠃⡀⠀⠀⠀⠀⠀ ⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡓⢦⡓⡬⢻⡇⢸⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣽⣿⣷⣿⣿⣿⣿⣿⣿⣷⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⠟⢹⠟⣥⣦⡬⢴⡳⠦⠐⠀⢀⡠⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣶⠿⣼⣿⣧⣼⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠚⠁⠀⠋⢼⡟⠫⡄⠈⢻⡆⡔⢡⡃⠐⠠⣑ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⡿⣛⢿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⣹⣿⣿⣿⣿⣿⡿⢿⣿⣿⣿⣿⣿⣿⣿⣯⡙⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠋⠀⠀⡇⠀⢻⡝⣹⠒⠆⣉⠰⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡿⡱⣃⣾⣿⣿⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⣿⣿⣿⣿⣿⠛⠴⠾⢿⡿⣻⢿⣿⣿⣿⣿⣷⡶⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⣌⠓⣭⠷⡉⠀⠉⠁ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣇⢳⢱⡿⢿⣿⣾⣟⣿⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⡟⠽⣿⡇⠘⢉⡝⢦⠐⣡⣿⣯⣿⣟⠻⠉⢀⣤⣤⣤⣤⣀⡀⠀⠀⠀⠀⠀⠀⠀⣇⠀⠐⠀⠸⢷⠈⢰⡀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⠎⣇⣻⡇⠀⠙⢿⣾⣿⣽⣿⣷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣷⣔⠹⠆⠘⠮⣁⠸⢡⢻⡄⣹⣿⡿⠁⠀⢸⣿⣿⣽⣻⣭⣟⡷⣦⣄⠀⠀⠀⠀⣯⠀⠀⠀⠀⠀⠁⠀⠇⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⡏⡴⣻⡇⠀⠀⠀⠈⠛⢿⣾⣽⣿⣧⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⣦⠐⠐⣿⡧⢦⣬⢽⣾⠏⠉⠀⠀⠀⢸⡇⠀⠙⠛⠿⣾⣽⣯⣟⣷⡄⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⢐⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡧⢱⣿⠀⠀⠀⢀⠀⠀⢀⣾⣿⣿⣿⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⡄⠈⣿⣷⣄⠻⢿⡶⣿⠿⠁⠀⠀⠀⠀⣶⣬⣟⣦⠀⠀⠀⠀⠀⠉⠉⠉⠀⠀⠀⢿⠀⠀⠀⠀⠀⠀⠀⠸⠀ ⢀⢀⡀⠀⡀⠠⢀⣂⣄⣀⣀⠀⠀⠀⠀⠀⠒⠶⠶⠶⠶⠶⠶⠶⠤⠄⠀⠀⠀⠸⣧⣽⣿⠀⠀⠀⣿⡀⢠⣿⣿⣿⡿⠋⠀⠀⠀⠀⠀⠀⣀⣠⣤⣴⣾⡿⣟⣿⣦⣼⣁⡈⠳⠿⠛⠁⠀⠀⠀⠀⠀⣴⣻⣿⡿⠟⠀⠀⠀⠀⠀⢀⠀⠈⠉⠛⢳⣟⠀⢀⠀⡀⢀⠠⠀⢸⠀ ⠀⡠⠀⠀⡀⠀⠀⠉⠉⠉⠉⣙⠛⠛⠛⣗⠲⠶⢶⣤⣀⠠⢀⣠⣤⣐⠈⠠⠁⢠⣿⣿⡗⠀⠌⢰⠏⢶⣿⣿⡿⠋⠀⡀⠄⢂⣡⢴⣶⡿⠿⣷⠿⢿⣿⣿⣏⢾⣹⢟⣿⢿⣷⣄⠀⢀⠠⠀⠀⢄⡜⠁⣹⠏⠀⠀⠄⠂⢁⠈⠐⡀⠈⠄⠁⢂⠀⣿⣼⠀⠠⠐⢀⠐⠈⣼⠀ ⡕⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⡞⠀⣠⠞⠁⠀⠀⠀⠀⠉⢻⡉⠁⠀⢙⣆⠐⠀⢸⣿⣿⣧⠀⢂⣿⣄⡈⠙⣻⣥⣤⢦⣶⡿⢯⢇⡀⠀⢄⣹⠋⠀⢨⣿⣻⣾⣷⣿⣾⡾⣿⣼⠿⠳⢦⡀⠀⣡⠋⠀⣴⠏⠀⠀⡐⠀⠐⠀⢈⠀⠄⠁⠠⠁⡀⠂⢹⡾⠀⠠⠁⠂⢈⠐⣸⠈ ⠀⢂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣼⣥⣶⣶⣶⣴⣤⣤⣤⡄⢳⡀⠀⣼⣿⠀⠈⢹⡛⣿⣿⠀⣼⢫⣿⠟⠛⠉⢁⠀⠚⠴⣙⢎⢮⡑⣆⡾⠁⠀⣰⣿⡟⣼⡻⢿⣟⡿⢓⢹⣿⠢⣄⠀⠙⠞⠁⢀⡿⠁⠀⠀⠀⠀⠀⠈⠀⠀⠠⠀⠈⢀⠐⠀⡐⠀⡟⠀⠁⠄⡁⠂⠤⡻⠄ ⡖⠀⠡⠀⠀⠀⠀⠀⠀⠀⠀⠀⣹⡟⠛⠛⣿⣟⠛⠛⢿⠃⢀⣻⣶⠿⣷⣿⣧⢸⠧⣽⡿⠾⣍⢛⢹⡄⠀⠀⠀⢊⡁⠐⢈⠊⣖⡽⠋⠀⢠⣾⢟⣧⢟⣳⡽⣳⡿⠑⢩⠀⣍⠳⣬⡓⢦⠀⢠⡞⠁⠀⠀⠈⠛⠘⠃⠛⠒⠓⠲⢦⡄⠀⡞⠀⢀⠂⠱⢀⠸⢖⡄⢁⠂⡟⢀ ⠈⠀⠀⠡⠀⠀⢀⢀⠀⠀⠀⠀⠘⣿⣶⣿⣭⣽⣷⣶⣿⡠⢜⡾⣿⠟⢿⡿⢻⠿⠧⢿⣷⠀⠙⣷⡢⠹⣦⠀⣀⣆⣀⣡⡶⢻⡟⠁⠀⣴⠋⠃⣸⢞⣯⡳⣽⣿⠀⡀⢂⠑⣈⣶⣾⣿⣿⣿⣿⣷⡀⠌⠀⠀⠀⣿⢋⣁⣼⣿⡷⣆⠉⢰⡇⠐⠠⢀⢹⡰⣄⢂⡐⠈⠄⡟⢀ ⠒⠦⠀⢀⠃⠀⠀⢀⠀⠂⠐⠀⠙⠁⠓⠶⣤⢤⡬⡽⣿⣟⡋⠀⣿⣼⠟⢠⠻⣦⣀⣤⡟⠀⠀⠈⠻⣷⡿⣿⣞⣻⣍⠙⠘⡟⠀⣠⠟⡁⠂⠀⢼⡻⢶⡟⣷⣻⣇⣪⣵⣾⣿⣿⣿⣿⣿⣿⣿⣿⣷⠀⢀⠀⠀⠚⠚⠛⠿⠟⠁⠈⢷⡿⢀⠁⠆⠄⡺⠅⡎⠑⠊⠡⠘⠉⠂ ⡀⢥⠂⢠⡁⠀⠀⠀⠂⠄⠀⠀⠂⠀⠳⣼⣹⢆⡣⢕⣹⠞⠓⣀⣯⠴⡒⠤⡓⠤⢹⣿⠆⡀⠀⢀⣠⡴⠛⣿⣽⢿⣛⣿⣛⣷⣾⣉⢦⣑⣢⡀⢰⣟⣽⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣤⣠⠀⡐⠖⠶⣄⠘⣶⠒⢊⠷⡄⢎⣐⣢⡐⡤⢠⡁⠂⢁⠚⠒⠍ ⠛⠶⢃⢠⠇⠀⠀⢀⠈⠀⠀⠂⠀⠀⢲⡾⢛⣳⣭⠶⣻⡞⢩⢓⡌⣣⢝⡢⡙⡤⠘⢻⣬⠴⠚⢫⠁⣆⠣⡘⢿⣿⣿⣻⢿⡿⣿⣽⣻⣶⣟⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⡳⣿⣿⣿⣿⣿⣿⣿⣯⢿⣷⣤⣿⠳⢦⡽⣉⠶⡄⢐⢠⡌⠒⠬⠑⠱⢀⠉⠓⠤⢄⡂⢂ ⣮⢗⡲⣎⣓⡆⢿⠶⡶⢯⣭⣮⡷⢶⣛⠷⣷⢿⣿⣶⣽⣿⣷⣮⣴⣡⢎⡱⣱⡇⠐⡘⣿⣷⣄⠂⢉⢀⠂⠄⠩⢿⣯⣿⣟⣳⡽⣞⣷⣻⣾⢯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣛⢮⡗⣿⣿⣿⣿⣿⣿⣿⣿⡾⣝⡿⣿⣿⣷⣯⣝⢣⡙⠌⠡⢈⠁⢂⢁⠂⠂⠌⡐⠠⢂⠉⠚ ⢒⠦⠙⠚⠙⠙⠉⣷⠾⢶⡋⠅⠲⢯⣟⢶⣀⠉⡚⢿⣿⡽⣽⣻⢿⣿⣿⣿⡷⣧⣐⣴⣿⣯⢿⣿⣶⣦⣬⣄⣃⠞⣿⣳⢯⣷⣿⣿⣞⡷⣯⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣟⣭⢿⣿⣿⣿⣿⣿⣿⣿⡝⣾⣽⣻⣿⢿⣿⣏⠋⠉⠁⠉⠈⠀⠂⠈⠁⠈⠀⠁⠀⠈⠀ ⢮⡝⡶⣳⠶⣾⣯⡵⠞⡉⠀⠈⠄⠠⠘⢿⡽⣦⡑⡈⠽⣻⣷⣿⣿⣿⡿⣟⣿⣿⣻⣿⣿⣿⣿⣾⣳⢿⡽⣿⢿⣿⢿⣽⣿⣿⣿⣿⣻⣿⣿⣯⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿⣷⣻⡼⣳⢟⡼⢯⢿⣿⣿⣶⣶⣞⡲⢶⡖⣶⣚⡖⣞⢲⡳⢞⡶ ⢓⣪⢵⡖⣿⡹⢞⡻⣮⠀⠀⠀⠈⠀⠀⠀⠛⣯⢷⣬⣶⡟⣏⠻⣝⡻⢟⣿⣿⣿⣿⣿⣿⣿⣿⣿⢯⣟⣿⣻⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣼⡍⠻⣿⣮⠹⢿⣷⣝⢾⣟⣯⣾⡝⣯⣟⠿⣿⣿⣌⠳⡱⢩⠞⡭⢳⡙⢯⠼ ⡿⣭⢷⣻⢧⡻⡝⢶⡹⢻⡄⠀⡀⠄⠠⣀⣴⡾⣟⡳⢧⣛⣮⣷⡾⣟⡿⣽⢻⣿⣿⣿⣿⣿⣿⣿⡻⢮⡱⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⣅⡨⠿⣿⡧⠙⠻⣿⣾⣯⢿⣞⣵⣺⣟⡼⣯⢿⣿⣧⣣⠞⡴⢣⡙⢦⢋ ⡿⣽⢯⣯⢷⣽⡹⢧⡳⣡⢛⣧⣠⣶⣿⡟⣯⢷⢯⣽⣳⣿⣞⣯⣳⡽⣞⣽⣻⢾⣽⣟⡿⣿⣿⣿⢷⣹⣾⢿⣳⢯⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣛⡀⠀⠙⣷⡄⣀⢈⣿⣿⣿⣿⣞⣽⢾⣽⣻⡿⣾⣻⢿⣿⣷⣫⣽⣎⠯ ⣿⢯⣿⣞⣿⣲⣟⣯⢷⣳⣾⣻⡵⣧⣛⣾⣽⣯⣿⣞⣯⢷⣻⣞⣷⣻⣽⣾⣽⣿⣳⣯⢿⣽⣻⣾⣟⣯⣟⣯⡿⣯⣿⢾⣳⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣾⣽⡿⣽⣿⣻⣾⣻⣿⣿⣿⣿ ⣿⣟⣷⡿⣞⣷⣿⣾⣿⣿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣾⣯⣷⣿⣾⣷⡿⣽⣿⢯⣿⡷⣿⣯⣿⣻⣽⣿⣿⣿⣟⣷⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣞⡿⣷⣻⣟⣷⣿⣿⣿⣽⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿⣻⣿⣿⢯⣿⢾⣽⣻⣿⣿⣿⣿⣻⣾⡽⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣳⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣳⡿⣾⣽⣾⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣷⣿⣿⣿⣿⣿⣽⣾⣷⣟⣾⢧⣟⣾⣻⢷⣻⢾⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣽⣷⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣷⣿⣿⣯⣷⣿⣟⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣔⡶⠖⡏⠛⠛⠯⡦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡟⠏⠀⠀⣇⠀⠀⠀⠈⢫⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣤⡤⠤⠄⠤⣇⡜⠀⠀⠀⡇⠀⠀⠀⠀⠀⣿⣀⣠⣴⣶⣶⣶⣤⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢠⣴⣿⡏⠏⠛⠉⠉⠉⠷⢷⣛⠀⠀⠀⡇⠀⠀⠀⠀⠀⣿⡿⠋⠁⠀⠀⠀⠩⣯⡳⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢀⣯⡿⣃⣄⠀⠀⠀⠀⠀⠀⠈⡏⠁⠀⠀⠈⠀⠀⠀⠀⠀⣷⠁⠀⠀⠀⠀⣀⡴⠛⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢸⣿⣗⠀⠉⠓⣄⡀⠀⠀⠀⠀⢇⠀⠀⠀⠀⠀⠀⠀⠀⣰⠇⠀⡀⡄⠖⠁⠁⠀⠀⠈⡏⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠸⣿⣿⡆⠀⠀⠀⠉⠉⠒⠂⠀⠈⣷⠤⢄⡀⣀⣀⣠⠞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣿⣦⣀⣀⠀⠀⠀⠀⠀⠀⢀⣟⠏⠉⠉⠍⠛⢷⣄⠀⠀⠀⠀⠀⠀⠀⣠⡾⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣥⣭⣿⣷⣷⡶⣤⣄⣀⣿⠃⠀⠀⠀⠀⠀⠀⡯⡧⣴⣶⡶⣶⡟⡿⣭⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢠⡷⠋⠁⠀⠀⠀⠈⠁⠑⠄⠬⣿⠄⠀⠀⠀⠀⠀⢠⢇⠇⠀⠀⠀⠀⠀⠀⠈⠙⣧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⣀⡄⠀⠀⠀⢟⣆⡀⠀⠀⠀⣀⢎⡎⠀⠈⠒⠒⠢⠤⡅⣤⣤⣈⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢸⡃⡀⣀⣄⠤⠊⠁⠀⠀⠀⢀⡇⡉⠏⠟⠶⠾⡗⠷⣀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣮⢻⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠸⡿⡀⠀⠀⠀⠀⠀⠀⠀⣤⡿⣸⠁⠀⠀⠀⠀⠈⠱⡿⣇⡇⣦⣤⣤⣄⣖⡭⡮⠗⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣧⡀⠀⠀⠀⠀⣀⡾⠋⠀⣷⠀⠀⠀⡀⠀⠀⠀⠉⣆⡇⠉⠉⠈⠁⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠯⠭⠝⠋⡃⡇⠀⢐⣿⠀⠀⠀⡇⠀⠀⠀⠀⣯⡃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⡇⠀⢸⢽⡀⠀⠀⡅⠀⠀⠀⠀⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡴⠒⠲⣄⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡅⡇⠀⣝⠈⣏⢆⡀⢣⡂⣀⠀⠀⡏⠀⠀⠀⠀⡖⠉⠁⠒⢄⡀⠀⡇⠀⠀⠈⢇⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡠⡔⣒⣒⣤⣄⡇⡃⠀⣗⠀⠈⠳⡬⣓⣗⣬⡷⠏⠁⠀⠀⠀⢸⠀⠀⠀⠀⠀⠉⠆⡇⠀⠀⠀⢸⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢀⡔⠁⣀⡤⠶⠖⠋⡇⡇⢻⣽⡙⠃⠲⣌⡉⠉⠁⠀⠀⠀⠀⠀⠀⠈⠢⡀⠀⠀⠀⠀⠀⠁⠀⠀⠀⡸⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣠⠋⠀⠀⠀⠀⠀⠀⣠⣇⡅⠀⣇⡙⢆⡀⠀⠙⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠂⠄⣀⠀⠀⠀⠀⢀⡜⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⡾⠥⣤⣤⣄⣤⣤⡤⠾⠗⡃⡇⠀⡇⢳⡀⠉⠓⠆⠈⢳⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠒⠲⠋⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⡇⠀⡇⠀⠙⢗⣤⣄⣀⣀⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⡅⠀⢿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⢇⠀⢸⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⡤⠖⠋⠉⠉⠉⠉⠙⠲⣦⣀⠀⠀⠀⠀⠀ ⠀⠀⠀⡴⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣦⡀⠀⠀⠀ ⠀⠀⡼⢁⡠⢼⠁⠀⢱⢄⣀⠀⠀⠀⠀⠀⠎⢿⡄⠀⠀ ⠀⣸⠁⠀⣧⣼⠀⠀⣧⣼⠉⠀⠀⠀⠀⠀⠐⢬⣷⠀⠀ ⡼⣿⢀⠀⣿⡟⠀⠀⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⢹⣧⠀ ⣇⢹⠀⠁⠈⠀⠉⠃⠈⠃⠀⠀⠀⠀⠀⠀⠀⠀⡰⢸⡇ ⠙⢿⣧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣏⣈⣉⣤⠿⠁ ⠀⣠⣾⣿⠤⡀⠀⠀⠀⠀⠀⢀⣤⣶⣿⣿⣿⣿⣅⠀⠀ ⢰⣧⣿⣿⣿⣦⣉⡐⠒⠒⢲⣿⣿⣿⣿⣿⣿⣶⣿⣧⠀ ⠘⠿⢿⣿⣿⣿⡿⠿⠛⠿⠿⠿⣿⣿⣿⣿⣿⣿⡿⠟⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠁⠀⠀⠀⠀ Kirby wants you to STOP nsfw!

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⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣤⠤⣄⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣀⠴⠚⠉⠁⠀⠀⠀⠀⠀⠈⠉⠳⢤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣠⠚⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠑⣆⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢀⡞⡥⠀⠀⠀⠀⣠⠴⢀⣠⠤⢦⡀⠀⠀⠀⠀⠀⠈⣆⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢠⡞⢸⠁⠀⠀⣠⢚⡥⠚⠉⠀⠀⠘⣗⡄⠀⠀⢰⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢾⠇⡎⠀⠀⣰⡳⠋⠀⠀⣠⣤⠶⠢⡿⣸⣆⠀⠈⣧⣄⢸⠁⠀⠀⠀⠀⠀⠀ ⠀⠀⢸⡄⢳⣠⣾⡟⠓⠆⠀⠘⠙⢀⣤⣶⢿⣤⣹⡅⠀⣿⠈⣿⡇⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⡇⠸⡇⣾⡛⣶⡦⠀⠀⠀⠛⢱⢼⣷⠸⠋⢣⠀⡇⣹⠛⡇⠀⠀⠠⠀⠀⠀ ⠀⠀⠀⢱⠀⠹⣏⠉⢟⣻⣀⠀⠀⠀⠐⠛⠛⠐⠀⠘⣴⡽⣇⠀⢸⡎⠁⠀⠀⠀⠀ ⠀⠀⠀⠈⢇⠀⠘⡄⠀⠀⢸⡁⠀⠀⠀⠀⠀⠀⠀⠀⣿⢀⢹⡀⠈⣧⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠈⢦⠀⢻⢦⡀⠈⠰⠶⠒⠂⠀⠀⢀⡤⠀⡇⢘⡆⢇⠐⠸⣷⠀⠄⠀⠀ ⠀⠀⠀⠀⠀⠀⠳⡼⡀⣟⡶⢄⡀⠀⢀⡠⠖⠁⠀⢀⡇⢸⢻⠸⡀⠀⣿⢇⠠⠀⠀ ⠀⠀⠀⠀⠀⠀⢠⠏⢳⠟⢀⠷⠈⣹⡇⠀⠀⠀⠀⣼⢣⡞⢸⠀⡗⢰⣼⢸⠀⠄⠁ ⠀⠀⠀⠀⠀⢀⠎⣠⠋⢀⡼⠟⠊⠟⠀⠀⠀⠀⠀⣿⠀⠑⢯⣀⣇⣮⢏⡞⠀⠀⠀ ⠀⠀⠀⢀⡠⠾⠔⠓⢞⣁⣀⣀⠀⠀⠀⠀⠀⠀⠀⢻⣀⣀⣀⡘⠛⠿⠯⣐⠀⠀⠀ ⠀⠀⢠⠋⠀⠀⠀⠀⠀⠀⠀⠀⠉⠁⠐⠉⠉⠉⠉⠉⣧⡀⠀⠀⠀⠀⠀⠀⠑⡄⠀ ⠀⠀⢻⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠧⠀⠂⠀⠀⠀⠀⠀⢹⡆ ⠀⠀⢸⠀⠀⡼⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⣤⠀⠀⠀⠀⠀⠀⡼⠃ ⠀⠀⠘⡤⠊⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠹⡀⠀⡀⠀⠀⢠⠇⠀ ⠀⣠⠎⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢫⠀⠂⠀⠀⡎⠀⠀ ⢠⠇⣠⡂⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠠⢀⠀⠀⠸⡄⠀⠀⡸⠀⠀⠀ ⢸⡀⠛⠄⢀⠀⠀⠀⠀⠀⠀⠀⣸⠀⠀⠀⠀⠀⠀⠈⢀⠵⠀⠀⡇⠀⢀⠇⠀⠀⠀ ⠀⢷⡀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠸⡀⠀⠀⠀⠀⠀⠂⠀⠀⠀⣰⠁⠀⣾⠀⠀⠀⠀ ⠀⠀⠑⢤⣀⠀⠀⢀⣠⠴⠋⠀⠀⠙⢦⡀⠀⠀⠀⠀⠀⣀⡴⠁⠀⢠⠃⠀⠀⠀⠀ ⠀⠀⠀⠀⢠⢻⠉⠁⠀⠀⠀⠀⠀⠀⠀⠈⠉⠒⠒⠒⠉⡽⠀⠀⠀⡼⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠸⣾⠀⠐⠀⠀⠀⠀⠀⠑⢤⡀⠀⠀⠀⠀⠀⡇⠀⠀⢠⠇⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣿⡄⠀⠀⢠⡀⠀⠀⠀⠀⠙⣄⠀⠀⠀⢰⠁⠀⠀⣼⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢿⣇⠀⠀⢸⠀⠀⠀⠀⠀⠀⠈⠁⠀⢀⡜⠀⠀⠀⡗⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢸⢸⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⢠⡇⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠸⣿⡆⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠐⡇⠀⠀⢰⠃⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣻⠁⠀⠸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⢣⠀⠀⡞⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢠⠃⠀⠀⠸⢳⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠳⡼⠁⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢠⠏⠀⠀⠀⢸⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠢⡀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢀⡎⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢦⡀⠀⠀⠀⠀

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⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⢀⣠⠴⠖⠉⠉⠓⠶⠖⠤⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡠⠖⢉⣳⡖⠋⠀⠀⠀⠀⠈⠀⠂⠀⠀⠀⢹⢦⣤⠾⢧⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠊⢀⡴⣿⡟⠁⠀⢠⠄⠀⠀⠀⠀⠀⠱⡄⠀⠀⠙⡝⣶⣄⠈⠳⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢀⠔⢁⠔⠹⢰⡟⠀⠀⢠⠃⠀⡀⠀⡇⠀⠀⠀⢸⢱⡀⠀⠈⢿⡌⠓⢄⠛⢄⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢰⠋⣠⠏⡜⣱⣿⠀⠀⢦⠇⠀⡴⠁⣸⠁⠀⠀⢠⠀⡇⢳⠀⠀⠸⣧⡀⡌⢣⡈⢳⡀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢠⡾⡀⣏⡴⠁⣽⡇⠀⢸⡾⢀⡜⢠⡶⡇⡆⠀⠀⡜⢰⠁⣾⣴⠀⠀⣿⡇⢱⡈⣧⠈⣇⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⡞⢀⣴⣟⠁⠀⣿⡇⠀⣧⡷⠊⡴⠯⣽⣼⠃⠀⣤⣇⡾⠤⢼⡏⡔⠀⣿⣇⠀⠱⣾⠀⠙⡆⠀⠀⠀⠀ ⠀⠀⠀⢀⡾⢠⣿⡟⠈⠀⢸⣿⡇⠀⣿⣷⣯⣤⣤⠋⣼⠆⣸⣿⣾⣡⣤⣤⢻⡇⢀⣿⣿⠀⠀⢻⣷⡄⢹⡀⠀⠀⠀ ⠀⠀⠀⢸⡇⢸⣿⠇⠀⡄⢸⣿⢰⠀⡿⠑⣯⢿⡏⠠⠯⠚⠛⠉⢻⣿⣿⣿⣿⠇⢸⣿⣿⠀⠀⠀⣿⣯⠈⣧⠀⠀⠀ ⠀⠀⠀⠈⣿⣾⡏⠀⠀⡇⠸⣿⣿⠀⡇⠀⠙⠚⠁⠀⠀⠀⠀⠀⠈⠯⠜⠁⢸⠀⣮⣿⡟⢠⡄⠀⢸⣟⡀⡏⠀⠀⠀ ⠀⠀⠀⠀⠘⣿⠇⠀⠀⣿⡄⢹⢿⡆⢻⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡼⢰⣿⣏⠇⣸⠄⠀⠈⣷⣽⠃⠀⠀⠀ ⠀⠀⠀⢀⡞⢹⡷⣀⠀⣹⢃⡿⢸⣷⢸⢧⡀⠀⠀⠠⣄⣀⣀⠄⠀⠀⠀⣴⡇⢸⡿⢸⡐⣿⠀⢀⠀⡽⢆⠀⠀⠀⠀ ⠀⠀⢀⡏⢰⡿⡇⣿⠔⢁⡾⣿⢸⡿⡈⣏⢻⣦⡀⠀⠀⠀⠀⠀⢀⣴⣾⣽⡀⣿⡇⣻⣧⠘⢄⢸⢠⣷⡈⢳⡀⠀⠀ ⠀⠀⢸⡇⠀⣴⡿⠋⣠⡟⣷⣿⣸⠃⢡⣿⣷⣿⣏⠑⠢⠤⠖⠚⣏⣱⡇⣿⣇⢸⡇⣿⣿⣣⡈⠻⣼⡉⢧⠰⡇⠀⠀ ⠀⣰⣿⣿⣸⡿⠀⣰⢟⡜⣿⢿⡟⠀⢸⡿⠟⢩⠏⠀⠀⠀⠀⠀⢏⠙⡦⣿⣥⠘⣷⣹⣿⢴⣳⡄⠙⣿⡀⣴⣷⠀⠀ ⣼⣻⠁⣿⣹⠧⣄⣯⣾⡽⣣⠿⢡⠀⡿⠀⠀⢸⠀⠀⢀⣀⣀⣀⡸⠀⠀⠀⣿⠀⡸⡷⡿⣜⡶⣻⠀⢱⡗⣹⢻⣷⡀ ⣿⣽⡀⢿⣽⡆⠀⠹⣽⣾⡀⡀⠈⣻⡃⠀⠀⠀⢷⣿⣛⣦⠿⣾⠇⠀⠀⢀⣿⣷⠁⢁⠙⣍⣷⡿⠒⠉⣷⣻⠀⣷⣳ ⠘⢷⡛⠺⡻⣷⣄⠠⢽⣇⠙⢿⣶⣼⣿⣦⣠⡖⢯⠵⡢⠬⠉⠛⡄⠀⣠⣾⣿⣋⣠⣮⠾⢻⡿⠁⠀⣼⣟⡯⣰⣿⣿ ⠀⠀⠉⠷⣽⡌⢻⡷⣄⠙⢆⣼⢨⢿⠞⢽⡟⠒⢓⡯⣛⣓⠀⠀⢷⡾⣺⠟⢿⣟⠉⡏⢀⠼⠂⣀⣾⢛⣥⣿⣿⠟⠁ ⠀⠀⣴⣾⣏⣩⣾⣽⣯⣷⣾⡇⠸⣼⢶⡞⠁⠀⠈⣽⣷⣽⠀⠀⠈⣿⣇⠀⢀⣇⡇⢹⣎⣤⡾⣟⣇⠸⣿⣯⡀⠀⠀ ⠀⠀⠈⠉⠉⣿⡏⠙⠪⠹⣾⣇⡠⠋⠀⠑⠤⣄⣴⣿⣾⣿⠧⠤⠊⠁⠈⢲⡊⠋⠀⢸⣿⡽⠞⣿⡿⠶⠵⠿⠽⠀⠀ ⠀⠀⠀⠀⠀⡿⠀⠀⢀⣼⠟⠉⠀⠠⡀⠀⠀⣠⣿⣿⣿⢿⣧⠀⠀⢀⡠⠂⠈⠳⡀⠈⢿⡇⠀⢹⡄⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣸⠇⠀⠀⣰⠋⠀⠀⠀⠀⠈⠉⠒⣿⣿⣿⡏⠈⣿⡗⠊⠁⠀⠀⠀⠀⠈⢦⠀⠉⠒⢲⣇⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢀⡿⠀⢀⡜⠁⠀⠀⠀⠀⠀⠀⢀⣼⣿⣻⠞⠁⠀⡽⣷⡀⠀⠀⠀⠀⠀⠀⠈⢣⡀⠀⠀⣿⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣸⠃⢠⠎⠀⠀⠀⠀⠀⠀⠀⢠⠏⢹⣿⡫⠃⠀⠀⠏⢫⢿⡆⠀⠀⠀⠀⠀⠀⠀⠱⡀⠀⢿⡄⠀⠀⠀⠀⠀ ⠀⠀⠀⡿⡴⠃⠀⠀⠀⠀⠀⠀⠀⡰⠋⠀⠘⠘⠀⠀⢰⢀⠀⠀⠓⠛⢆⠀⠀⠀⠀⠀⠀⠀⠙⡄⠸⡇⠀⠀⠀⠀⠀ ⠀⠀⣼⠏⠀⠀⠀⠀⠀⠀⠀⢀⡜⠁⠀⠀⠀⠀⠀⠀⡼⢺⠀⠀⠀⠀⠈⢢⡀⠀⠀⠀⠀⠀⠀⠈⠦⣇⠀⠀⠀⠀⠀ ⠀⠀⢸⡀⠀⠀⠀⠀⠀⠀⣠⠎⠀⠀⠀⠀⢠⠀⠀⠀⡇⢸⠀⠀⠀⠀⠀⠀⠱⡀⠀⠀⠀⠀⠀⠀⠀⢼⡄⠀⠀⠀⠀ ⠀⠀⠀⢳⡀⠀⠀⠀⠀⣰⠃⠀⠀⠀⠀⢀⡏⠀⠀⠀⡇⢸⠀⠀⠀⠀⠀⠀⠀⠙⡄⠀⠀⠀⠀⠀⢠⡞⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠙⠒⠶⠶⣿⠍⠀⠀⠀⠀⠀⣼⠃⠀⠀⠀⡅⡆⠀⠀⠀⠀⠀⠀⠀⠀⠈⢢⣄⣀⣀⡴⠛⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢸⡯⠁⠀⠀⠀⠀⠰⠉⠀⠀⠀⢸⠀⡼⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣼⣁⣀⠀⠀⠀⣀⡀⠀⠀⠀⠀⠸⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣰⢟⠀⠀⠀⠀⠀⠠⠀⠀⠀⠀⠀⠀⠀⢇⠀⠀⠀⠈⢀⠒⠂⠀⠀⠒⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢸⡏⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠜⠁⡈⠳⡀⠀⠀⠀⠀⠁⠁⠀⠀⠸⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢸⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠈⠢⠄⠀⠀⠀⠀⠐⠤⣄⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⡟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣙⣷⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣸⠟⠢⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀
⠠⠑⠝⠀⠧⠳⠎⠀⠗⠑⠍⠻⠉⠊⠁⠝⠞⠀⠙⠑⠀⠧⠕⠞⠗⠑⠀⠐⠏⠀⠷⠀⠁⠀⠌⠕⠗⠽⠀⠎⠑⠞⠀⠔⠀⠌⠐⠕⠀⠽⠑⠞⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⢾⣻⣻⢷⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣄⣤⢤⣴⢟⣞⣯⣗⣯⢷⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠻⡆⢪⠺⠿⣝⢗⣷⣳⢯⣻⣻⢶⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⡟⢈⡷⢤⠶⠶⡈⡇⡺⡾⣽⡳⡯⣟⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡼⢀⡟⠛⣇⠓⢀⣮⣪⢪⢪⡿⣵⣻⠋⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⡇⡏⠀⠀⠉⢛⣋⣄⢈⣷⠹⡟⠓⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠨⡇⠀⢀⣶⣻⣭⣟⢵⢚⠅⡊⡧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠳⠚⠉⢉⣿⡏⣿⣰⣐⣡⡢⢟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢺⣹⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⣾⣿⢇⡇⠔⡐⡐⡐⢹⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣸⠓⠬⡢⡥⠺⢚⣀⢀⣠⣠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢕⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⢋⢳⣠⣴⣾⣿⣧⠡⡑⢔⠨⡨⢸⣿⣾⡡⠨⣳⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠢⡂⢿⣿⣿⣿⣿⣷⣮⣤⣥⣶⣿⣿⣿⣿⡈⢺⠀⠀⠀⠀⠀⠀⠀⠀⠀⡗⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠣⡑⡐⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡎⡸⡄⠀⠀⠀⠀⠀⠀⠀⡰⡭⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢀⣄⣤⣦⣦⣤⣤⠫⡐⠔⢌⠢⣿⣿⣿⣿⠟⢿⣿⣿⣿⣿⠨⢙⢙⡇⡊⣅⠀⠀⠀⠀⠀⠀⠀⡗⡇⠀⠀⠀⣀⣀⣄⣀⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⣔⣞⡯⣗⣷⣳⣷⢛⠡⢊⠄⢕⢐⡅⠌⡙⡙⡡⢊⠘⢿⣿⣿⠏⢌⢂⢂⡇⡢⠪⡂⠀⠀⠀⠀⠀⠀⢱⢣⣠⡖⠏⣅⣥⣢⣬⣽⣷⣶⣴⣶⡄⠀⠀ ⠀⠀⠀⠀⡴⣯⠷⠋⠋⠁⣠⠞⡐⢔⠡⠡⡊⣔⣟⣦⢑⢐⠔⡐⡁⡪⢐⠩⢸⡌⡂⡂⡂⡇⡪⢐⢹⠄⠀⠀⠀⣀⣀⣬⣻⢃⠶⢛⣿⣿⣿⢛⠻⣯⢿⣿⣿⠃⠀⠀ ⠀⠀⢀⣾⡻⠉⠀⠀⠀⣴⢃⡕⣌⣔⡨⣊⣼⣳⣻⣺⢧⡐⠔⡐⠔⡐⡐⡡⠊⣗⠐⢌⢨⣇⠢⠡⡂⢫⣄⡴⣯⢥⣥⣢⢿⡶⣺⣲⣻⣷⡿⣖⣥⢼⣿⣟⣁⣀⡀⠀ ⠀⢀⣾⠟⠀⠀⠀⢀⣼⢃⡥⣌⢔⠠⡡⠩⡙⠞⣗⡯⣟⡇⠅⡊⠔⡨⠐⢄⢑⡏⠌⡂⡎⢱⡅⡑⢌⣾⣫⡿⣾⣯⣾⣺⡽⣽⢳⠻⢚⢑⠩⠡⡑⡡⠡⠡⠡⠡⠩⢻ ⠀⣾⠏⠀⠀⢀⡴⡿⡽⣮⠿⣝⡇⠪⡐⡡⢊⠌⢄⠍⢿⣳⣥⡈⡂⡢⠡⡑⢸⠇⡡⠢⠃⠀⢷⡨⣼⡷⣳⣟⣗⡷⡯⣿⠩⢐⢐⢌⢔⢔⢕⢕⢢⢪⠪⡪⢌⠪⠨⢸ ⢸⠏⠀⠀⢀⡾⡽⣽⣫⠟⠛⠦⣬⡨⡐⡐⡡⠨⡂⡊⠔⣿⣿⣿⡓⠶⡶⠦⣿⣶⣶⡟⠀⠀⠈⢻⣾⢯⣗⣷⣳⢯⡯⡯⢐⠡⡣⠃⢁⢇⢕⢜⢜⢜⢜⢜⢜⢌⢊⢸ ⠟⠀⠀⠀⣾⣝⣯⡟⠀⠀⠀⠀⠀⠉⠙⠚⣲⣵⡔⢌⢂⣿⠙⠿⣆⣼⣆⣢⣿⡿⣿⠁⠀⠀⠀⠀⣹⣟⣞⣾⣺⡽⡽⣯⠐⡡⡃⢀⢇⢇⢇⢇⢣⢱⢸⢨⢪⢂⠂⡵ ⠀⠀⠀⢼⣳⢗⡏⠀⠀⠀⠀⠀⠀⣀⣤⣴⢷⡇⡂⠆⢼⣿⣬⣔⠠⠂⠅⡭⢐⢠⠃⠀⠀⠀⠀⠀⢸⣗⣷⣳⢗⡿⡽⣷⠈⢔⢕⢜⢌⢆⢇⢕⢕⢕⢕⢕⢕⢐⠡⡇ ⠀⠀⠠⣟⣗⡟⠀⠀⠀⠀⠀⠀⢾⣡⡥⡦⠮⠆⢌⢬⣟⠇⡂⢌⡧⠡⣱⢑⣰⡃⠀⠀⠀⠀⠀⠀⠈⣷⣗⡯⣯⢯⣟⣽⠨⢐⢕⢕⢱⠱⣑⢕⢕⢱⢸⢰⢑⠐⢼⠀ ⠀⠀⢸⣳⠏⠀⠀⠀⠀⠀⠀⠀⠻⠶⠴⣤⡥⣥⢵⡽⠡⢊⢐⣼⢴⢼⣶⢋⠙⣆⠀⠀⠀⠀⠀⠀⠀⠈⠑⢿⡽⣽⣺⣽⠌⡐⢕⠕⡕⡍⡆⡇⡕⡕⢕⢕⠡⠡⡏⠀ ⠀⠀⢮⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣅⠅⠅⣲⠃⠀⠀⢳⠠⠡⢹⠄⠀⠀⠀⠀⠀⠀⠀⠀⢀⡿⡷⡯⣾⡇⢌⢸⣘⡘⢜⣘⣘⣌⣮⢨⣶⣼⡼⠀⠀ ⠀⠀⣽⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⢁⠢⠙⣽⠃⠀⠀⠀⢸⡧⠳⢙⣇⠀⠀⠀⠀⠀⠀⠀⠀⠐⣟⠀⠙⣷⣗⢐⣽⣿⡿⢨⣭⣿⢿⣍⣌⠾⠿⠃⠀⠀ ⠀⠀⠹⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠅⡢⠨⣸⠃⠀⠀⠀⠀⠐⡧⠑⠄⣳⠀⠀⠀⠀⠀⠀⠀⠀⢀⡿⠀⠀⠀⢝⡗⠚⠽⡷⠒⠒⠚⠁⠁⡯⡃⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡿⣐⠠⢡⡇⠀⠀⠀⠀⠀⠀⢿⠨⠨⢸⠅⠀⠀⠀⠀⠀⠀⠀⢀⣿⠀⠀⠀⢽⡂⠀⠰⡯⠀⠀⠀⠀⠀⡯⡂⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡾⠠⠩⡉⡿⠀⠀⠀⠀⠀⠀⠀⢸⡓⡓⡙⡅⠀⠀⠀⠀⠀⠀⠀⢐⣯⠀⠀⠀⡪⡆⠀⠸⡝⠀⠀⠀⠀⠀⡯⡂⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠃⠅⢅⢸⠃⠀⠀⠀⠀⠀⠀⠀⢸⡅⡂⡂⣗⠀⠀⠀⠀⠀⠀⠀⠀⣷⠀⠀⠀⢽⠅⠀⠸⡝⠀⠀⠀⠀⠀⡯⡃⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣝⠨⡈⡂⡝⠀⠀⠀⠀⠀⠀⠀⠀⢸⣐⣐⣐⡇⠀⠀⠀⠀⠀⠀⠀⢀⡯⠀⠀⠀⢜⠅⠀⢐⡇⠀⠀⠀⠀⠀⣏⠆⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⢛⠲⠰⢴⠇⠀⠀⠀⠀⠀⠀⠀⠀⡺⢈⠔⢨⠇⠀⠀⠀⠀⠀⠀⠀⢐⡽⠀⠀⠀⣕⠇⠀⢐⣇⠀⠀⠀⠀⠀⣗⠅⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡺⢐⠨⠨⢸⠅⠀⠀⠀⠀⠀⠀⠀⢀⡏⡐⠌⣸⠁⠀⠀⠀⠀⠀⠀⠀⢐⢯⠀⠀⠀⢮⡃⠀⢘⡖⠀⠀⠀⠀⠀⡇⡇⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡯⡠⠡⠡⡽⠀⠀⠀⠀⠀⠀⠀⠀⢰⠅⡂⠅⣞⠀⠀⠀⠀⠀⠀⠀⠀⠨⣗⠀⠀⠀⡺⡂⠀⢨⠧⠀⠀⠀⠀⢀⢏⠆⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣠⠴⠲⠴⠤⣄⣄⢤⢏⠘⠌⡊⡯⡀⠀⠀⠀⠀⠀⠀⠀⡼⢃⠢⠣⣗⠀⠀⠀⠀⢀⣀⣀⡀⢸⣕⠀⠀⠀⢺⠅⠀⢸⠭⠀⠀⠀⠀⠀⣗⠅⠀⠀⠀⠀ ⠀⠀⠀⠀⣞⢡⡨⡐⡁⡊⢄⠂⢅⠂⢅⠑⢄⢿⢽⠻⠀⠀⠀⢀⣠⣰⡃⠢⠡⡁⡓⡙⡘⡑⡙⡑⡡⢡⠹⣶⣷⡄⡀⡀⣝⡅⡀⣸⣷⡄⠀⠀⠀⠈⡮⡂⠀⠀⠀⠀ ⠀⠀⠀⠀⡺⠡⢂⢂⠢⠨⡐⣈⣢⣡⢥⢬⠮⠋⠀⠀⠀⠀⠀⠈⠳⣗⠅⢅⢑⢐⢐⢐⢐⢐⠔⡐⡐⠹⣜⣿⣾⡿⠝⠝⣗⠯⠫⣺⣿⡃⠀⠀⠀⠨⣺⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠸⣌⣂⣢⢵⠓⠋⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠓⠮⠦⠦⡦⢦⢆⣆⣢⣈⣂⢌⣸⠇⠛⠟⠇⠀⢰⣾⣷⣂⣘⣛⢀⣀⣀⣀⣼⣿⣧⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠉⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠉⠉⠈⠀⠀⠀⠀⠀⢼⣿⢿⡚⠚⠊⠋⠚⠊⠚⣾⣿⣗⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⢿⠀⠀⠀⠀⠀⠀⠀⠻⠷⠃⠀⠀⠀
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⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣤⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠁⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣴⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣴⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣧⠀⠀⠀⠀⠀⠀⣠⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠋⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⠀⣿⣷⣄⡀⢀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⣶⣶⣶⡶⠃⠀⢀ ⠀⠀⠀⠀⣀⣀⣀⣀⣀⠸⣇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣠⣴⣶⣿ ⢀⣴⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠋⡽⠛⠛⠛⠻⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠀⠀⣧⠀⠀⠀⠀⠀⠈⠙⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣄⠀⠸⡄⠀⠀⠀⠀⠀⠀⠀⠙⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⣀⠙⢦⣀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⢻⠿⣿⣿⣿⣦⣍⣛⡒⠦⣠⣤⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀⠸⡄⠀⠉⠻⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠿⣿⣿⣿⣿⣿⣿⣿⡿⠟⣻⣿⣿⣷⡀⠹⢦⡀⠀⠀⠙⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⠿⠿⣿⣿⣿⣶⣌⣙⠲⢤⣀⣀⢻⣿⣿⣿⣿⣿⣿⣿⠿⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢻⣿⣿⣿⣿⣿⣶⣿⣿⣿⣿⣿⣿⡏⠹⣆⠀⠀⠀⠀⠈⠉⠻⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⣀⣀⡤⠴⡶⠶⠶⠖⠲⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡀⠈⠳⣄⡀⠀⠀⠀⠀⠀⠙⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⢀⡤⠖⠋⠁⠀⠀⠀⠀⢀⣀⡀⠀⠀⠀⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣦⣤⣉⣑⡲⢦⣤⣄⣀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⡏⠀⠀⠀⢀⣠⣴⡶⠛⢉⣿⡭⠛⠲⣄⠀⠙⠻⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠃⠀⣀⠔⠛⢿⣏⣠⣶⠟⠁⠀⣴⣶⣾⣧⠀⠀⠀⠀⠀⠙⠻⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⠟⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⣴⠋⠀⢠⣾⣿⠟⠁⠀⠀⠀⠛⠛⠉⠈⣧⣀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠉⠉⠙⢿⣏⠀⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⢼⠋⠀⢠⠟⠛⣧⣴⣦⠀⠀⠀⠀⠀⠀⠀⡞⠈⣙⣦⡀⠀⠀⠀⠀⠀⠀⡄⠀⠀⠀⠈⢻⣆⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⢰⠀⣴⡿⠀⠀⠛⠿⠇⠀⣠⣤⡀⠀⣀⣾⣧⠘⠁⠀⠙⡄⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠘⣿⡆⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠈⢿⣿⠧⣄⣀⣠⠤⢾⠋⠀⣠⣿⡿⠋⠉⠁⠀⠀⠀⠀⣹⠀⠀⠀⠀⣸⠙⠀⠀⠀⠀⠀⣿⣿⡀⠈⠻⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠉⠓⠦⢤⣤⣤⡼⠷⠤⠛⡋⠀⠀⠀⠀⠀⠀⢀⣾⣿⠀⠀⠀⢨⡿⡀⠀⠀⠀⠀⠀⣿⡿⣇⠀⠀⠀⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠠⡄⠀⠀⠈⢿⡋⠀⢠⣶⣿⣿⡷⠀⠀⠀⠀⢀⡼⢉⠇⠀⠀⠀⣸⠁⠁⠀⠀⠀⠀⠀⣿⡇⣿⠀⠀⠀⠀⠈⠛⠻⠿⠿⠿⣿⣿⣿⣿ ⠀⠀⠙⢦⣀⡀⠀⠙⠢⢄⡀⠉⠁⠀⠤⠴⠒⠊⢉⡠⠊⠀⠀⣠⠞⠁⠀⠀⠀⠀⠀⠀⢸⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠛⠿⠿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠓⠒⠒⠒⠒⠒⠋⠀⠀⠐⠊⠁⠀⠀⠀⠀⠀⠀⣀⣴⡋⠘⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
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⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣴⣶⣶⣶⣶⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⡿⣿⣿⣿⣧⣿⣻⣿⣦⣤⣶⣿⣿⣿⣷⣦⣤⣶⣶⣶⣤⣀⡀⠀⠀⠀⢠⣴⣿⣿⣿⢿⣶⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣟⣯⣽⣿⣿⣿⣿⣽⣿⣿⣿⣿⣛⣧⢿⣼⣯⣿⣟⢯⡟⡽⢯⣟⣿⣶⣄⠀⢿⣿⣿⣿⣿⣯⡿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⡾⣽⢟⣿⣿⣿⣿⡿⣟⡷⣣⢿⣼⣳⢿⣾⠛⣿⣫⢾⣽⣛⣮⠷⣿⣻⣿⣿⣿⣿⣿⢿⣟⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣯⣿⢺⣽⣿⢺⣽⣮⣽⣯⣷⡞⣯⣿⠃⠀⠈⠛⣿⡖⢻⣼⡟⢳⣯⣿⣿⣿⢻⣭⡟⣾⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢉⣻⡿⣿⣿⠿⠟⠛⠛⠻⠿⢶⣿⡋⠀⠀⠀⠀⠀⠈⣙⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣶⣿⣿⡿⣷⣿⣆⠀⠀⠀⠀⠀⠀⠀⠈⠻⣶⡀⠀⣤⣴⠟⠋⠁⠀⠀⠀⠀⠀⠙⠿⣧⣹⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣟⣾⡿⠀⢻⡟⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣷⢲⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⡏⠹⣿⣿⣦⣤⣀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢀⣴⣶⣿⣷⡿⣾⠁⢲⡞⣻⣦⣀⠀⠀⠀⠀⠀⠀⠀⢀⣠⡟⠘⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡾⠷⣶⣿⣽⡻⢿⣻⣿⡀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣾⣿⢯⢷⣻⢷⣿⠀⠀⠙⠟⢉⣿⠻⠶⢶⣤⣤⣴⠶⠟⠉⠀⠀⠈⠻⢶⣤⣄⣀⣀⣠⣤⣴⣞⠛⢷⠄⠀⢸⣷⢿⣯⣿⣿⠁⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢻⣿⣯⣻⢾⣽⣿⠂⠀⠀⠀⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠀⠀⠻⠓⠀⠀⠰⢸⣿⣻⣽⢿⣿⣷⣦⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⣠⣴⣾⣿⢷⣟⡾⣽⣾⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⣯⢿⣾⣷⣿⣿⡆⠀⠀⠀ ⠀⠀⠀⠀⣾⣿⡟⣯⣏⣷⣾⣿⣿⣯⢿⣆⠀⠀⠠⢴⣀⣤⣤⠴⡶⣚⢟⢻⢲⢦⣀⣀⣤⠴⣖⡞⢶⢦⣀⠀⠀⠀⠀⠀⠀⣼⣯⢟⣿⣻⣿⢿⣿⣿⣦⣄⠀⠀ ⠀⣀⣤⣤⣽⣿⣽⢳⡾⣵⣻⣟⣮⢗⣯⢾⣦⡀⠀⠀⠹⢯⣛⢻⡛⡶⢾⠾⡶⡷⡾⢷⠾⡷⢾⠾⡾⢛⡟⣿⠃⠀⠀⢀⣾⣿⣝⡾⣳⣯⣿⢯⡟⣽⣟⣿⡇⠀ ⣾⣿⣿⣿⣟⡟⣾⣫⣷⣿⢟⡿⣼⣛⡾⣯⢿⣿⣦⡀⠀⠀⠙⠷⣥⣏⢎⡣⣕⢣⡝⣪⢱⡙⢎⡳⣩⣣⠞⠁⠀⢀⣴⣟⡯⣿⡽⣞⣳⠿⣿⣿⣽⣳⣾⣿⣄⡀ ⠸⣿⡿⠿⢾⣿⣵⣻⡿⣭⢟⡾⣵⣿⣿⢿⣿⣿⡼⣟⣦⣄⡀⠀⠀⠉⠙⠓⠺⠷⠼⠥⠧⠿⠞⠛⠉⠁⢀⣠⣴⣿⢻⡼⣿⣿⣽⣻⢿⣻⣷⢯⣿⡵⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠸⣿⠟⠛⠛⠿⠿⣶⣿⣯⣿⣻⣗⣻⢮⢷⣻⢟⣷⣶⣤⣄⠀⠀⠀⠀⣄⣀⣠⣤⣤⣶⢾⡟⣯⢟⣮⢟⣽⣿⣿⣿⣯⣿⣿⣿⣿⣿⣿⠟⠉⠉⠉ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢾⣿⣿⣿⠉⠙⠛⠛⠛⠛⠾⠾⠾⢷⣿⠀⠀⠀⠀⣿⣟⣿⣽⣳⣾⣯⣾⠯⠿⠾⠿⠾⠛⢻⣿⣿⠉⠉⠀⠀⠈⠁⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⠛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⠀⠀⠀⠀⢿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⠿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⠇⠀⠀⠀⠀⠘⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣤⣤⡀⠀⢠⡿⠀⠀⠀⠀⠀⠀⠸⣧⣀⣠⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⡾⣿⢣⣽⡿⢶⣿⣁⣀⣀⠀⠀⠀⠀⠀⠙⣿⡏⢉⡛⢿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣾⣿⣅⣎⣟⠀⠀⠀⠀⠀⠀⠉⠉⠉⠛⠛⠛⠷⠾⢿⣤⣘⠢⢝⢿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣫⢞⣙⣿⣿⠉⠉⠛⠒⠒⠒⠤⠤⣤⣀⣀⡀⠀⠀⠀⠀⠉⠙⢻⣿⢿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⡟⢿⡿⢿⠾⡿⢧⣤⣤⣤⣄⣀⣀⣀⣀⡀⠈⠒⠉⠉⠓⠒⠦⠤⣄⣼⡇⢈⠙⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⡿⠑⢸⣕⢫⢳⡙⢮⢲⡱⢎⠶⣉⢮⡙⣭⢛⡽⣙⡛⢶⡳⢶⠶⡦⢤⣤⣽⡆⢈⠻⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⠁⠰⢸⣏⢎⢧⢛⡎⢧⡙⣎⠳⣍⠶⣙⢦⣋⠶⣡⢛⠦⡝⣎⠳⣍⠳⣜⢣⣿⡀⠄⠻⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⡇⠘⢠⣿⡚⡜⣎⠳⣜⢣⡝⣬⠳⣌⠳⣍⠶⣩⠞⣥⢋⡞⡱⢎⡳⣌⠳⣎⢳⢺⣷⡀⠄⢹⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⠁⠐⣸⣿⡱⡹⣌⠳⣌⠳⡜⢦⢛⡬⢳⣌⢳⡱⣚⠴⣋⠼⣱⢋⠶⣩⠳⣌⢧⢻⣿⣇⠈⠄⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⠀⠂⣿⣿⡵⢳⣌⠻⣌⢳⡙⣎⠳⣜⢣⢎⣇⠳⣍⠞⣥⡛⡴⣋⢞⣡⢛⡜⣎⢳⣿⣿⠀⠐⢸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠟⣿⠀⢂⢻⣿⣗⡣⢎⡳⢬⢣⡝⣬⠳⣌⠳⣎⡜⢳⢬⡛⣼⣷⢣⡝⡸⢆⠯⡜⣬⢻⣿⣿⠀⠀⢹⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣧⠈⡌⣿⣷⠙⣮⢱⠋⣶⢱⢪⡕⣮⢳⡜⡜⢣⡞⣼⡏⣼⣷⢸⢱⠋⡞⢱⡌⢳⣿⡇⢠⠀⣾⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢿⣦⢤⡀⠛⢿⣬⡧⣛⡼⣾⢮⣵⢎⡖⣣⠝⣎⢖⣿⢁⣿⡥⣋⣮⣙⣖⣯⣽⣾⠟⢀⢈⣓⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⣷⣭⡐⠀⠌⠙⠛⠻⠾⠷⣬⡛⢾⣷⠿⠾⡞⠁⠀⠉⠉⣉⣩⣭⡴⠶⠛⠁⢈⠰⣲⣿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣒⡷⠶⠾⠒⠛⠋⠁⠀⠈⠙⠶⣷⠶⠒⡒⠛⠋⠉⢀⠀⣄⣂⣬⣷⣿⣿⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣟⠾⣭⣕⣒⣒⣺⠓⠀⠀⠀⠀⠀⢹⣄⣁⣤⣥⣼⡶⢿⡻⣛⠽⣩⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣙⠶⣹⢳⢶⡬⣤⢤⡤⢶⢶⡛⣯⢻⢫⡝⢮⡱⢎⡳⡱⢭⣚⣽⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣷⣿⣾⣷⣿⣾⣾⣷⣾⣷⣾⣷⣷⣾⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠛⠻⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢐⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠁⠀⠀⠀⠀⠙⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢨⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠋⠀⠀⠀⠀⠀⠀⠀⠈⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⣿⣿⣿⣿⡿⠿⠟⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠛⠛⠛⠛⠛⠛⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
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⠁⢂⠘⢀⠂⠄⠀⡀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢾⣿⡗⢠⠂⡔⣀⢂⡐⢀⠂⠔⢠⠂⠔⡰⢈⠴⢡⢫⡝⣿⣻⣿⣟⡿⣽⢿⣿⣿⣿⣿⣿⣿⣿ ⠈⠄⡈⠀⠌⠀⠁⠠⠀⠈⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢾⣿⡏⢄⢃⡐⠄⠂⡔⠈⡈⠌⠠⢈⠂⡁⠊⡄⢣⢎⡽⣞⣿⡷⣯⣟⡾⣻⣿⣿⣿⣿⣻⣿⣿ ⠐⠠⢀⠡⢈⠐⠀⠂⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢾⣿⡏⢄⠂⠠⣜⣰⣤⡳⣔⡈⢒⡐⠂⡅⠓⠌⣣⢚⡼⣻⣾⣿⣳⢯⣟⡽⣿⣽⣳⡟⡿⣽⢻ ⠌⡀⢂⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢾⣿⣏⣄⡼⣯⣳⢯⣶⣻⣽⡁⢢⠀⢃⠤⢉⠢⡑⢮⡱⣟⣷⣿⣽⡳⣯⢽⣷⣻⢶⡻⣝⡾⣹ ⢂⠐⠠⠀⠂⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢾⣿⣿⡽⣛⡶⣯⣟⣶⣻⡞⠁⠤⠘⣀⠂⡄⢣⠙⢦⡹⢯⣿⣿⣞⣽⡳⢯⣿⣽⣳⢯⣝⣞⣳ ⠂⡀⠡⠀⠌⠀⡀⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣄⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣻⣿⣿⣽⣻⣽⣳⣿⠞⠋⡀⢊⢠⣁⡤⡦⠴⢆⢩⢒⡽⣯⢿⣷⣻⢶⣛⢯⣿⣞⡷⣯⢞⣮⢷ ⠐⡀⢁⠐⠀⡁⠀⠀⠀⠀⠀⠀⣀⣀⣀⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⠀⠀⠀⠀⠀⠀⠀⣀⠤⠒⠒⠋⣩⠝⠛⡒⠒⠩⣕⠢⣄⠀⠀⠀⠀⠀⠀⣽⣿⡟⡑⠛⠙⡉⠁⢀⠢⣰⣬⣷⣿⣿⣿⣿⣿⣿⣾⣽⣯⣿⣿⣳⢯⡽⣞⣿⣿⣻⣭⣟⢮⣟ ⠀⡐⢀⠂⠁⠀⡈⢀⣠⣴⣾⣿⣿⣿⠿⡿⠿⠿⣿⣿⣶⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣤⣀⠀⠀⢸⣿⣿⠀⠀⠀⠀⢀⠔⠉⠀⠀⢀⠴⠊⠁⠀⠀⠈⠓⢤⡀⠑⢌⠱⣄⠀⠀⠀⠀⢾⣿⡗⢐⠈⡀⢀⡐⣪⣿⣿⢿⣻⢷⣻⣞⡷⣟⣾⢯⣟⣿⣿⣿⣳⢯⣞⣳⢿⣷⣟⣾⣽⣻⣾ ⠀⠐⡀⠄⠐⢀⣴⣿⣿⣿⣿⣿⣿⣶⣿⣶⣿⣷⣶⣮⣽⣿⣿⣷⣄⠀⠀⠀⠀⠀⠀⢸⣿⣿⣠⣶⣾⣿⣿⣦⡀⠀⢀⣤⣴⣤⣄⣠⣤⣤⣤⣄⡀⠀⠀⢰⣿⣿⢿⣿⣷⡄⢸⣿⣿⠀⠀⠀⡴⠁⠀⠀⢠⠞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠈⢆⠀⠀⠈⢧⠀⠀⠀⣻⣿⣏⠀⠆⡀⣖⣿⣿⢿⣽⣻⢯⣿⢯⡿⣽⡿⣽⣻⣟⣾⣽⣻⣿⣳⢾⡽⣿⣿⣿⣿⣾⣿⣿ ⠀⢀⠀⢠⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⠀⠀⠀⠀⢸⣿⣿⣿⣟⠉⣿⣿⣿⣇⣴⣿⡿⣯⢿⣿⣿⣻⣽⣻⣟⣿⣶⣤⣬⣭⣧⣾⣟⣿⠃⢸⣿⣿⠀⠀⡼⠁⠀⠀⡴⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠳⡀⠀⠘⣇⠀⠀⣽⣿⣧⡘⣰⣾⣿⣿⣿⠿⡾⣿⣯⣟⣯⡿⣯⢿⣽⢷⣯⡷⣿⣽⣻⣿⣯⣿⢿⡿⡿⣟⡿⣿⢿ ⠀⡀⠀⣴⣿⣿⣿⣿⣯⣸⣿⠿⠯⠿⣿⣿⡏⠙⠿⠿⠟⠿⣿⢻⣿⣿⣿⣆⠀⠀⠀⢸⣿⣿⣿⢿⣶⣮⣽⣾⣿⣿⣷⣿⣽⣿⠃⠙⢿⣾⠷⠿⣾⣽⣯⣟⣯⣿⣳⡿⠋⠀⢸⣿⣿⠀⢸⣁⣠⣤⣾⣤⣤⣤⣄⡀⠀⠀⠀⠀⠀⣀⣠⣤⣤⣤⣽⣄⡀⢹⡀⠀⣽⣿⣷⣽⣿⣿⠛⠁⠀⠀⠀⠀⠉⠻⣿⣽⣻⣯⡿⠛⠛⠛⠛⠷⣿⣻⣿⣿⢯⣳⣟⣼⣳⣏⡿ ⠀⠀⣰⣿⣿⣿⣿⣿⡾⠉⠀⠀⠀⠀⠀⠉⠻⣦⠀⠀⢠⡴⠛⠉⠉⠉⠛⢿⣧⡾⠀⢸⣿⣿⠻⢿⣷⣯⣿⡿⠛⠉⠀⠀⠙⣧⠀⠀⣿⠀⠀⠀⠀⠈⠛⠿⣿⣻⣿⣄⠀⠀⢸⣿⣿⡴⠛⠉⠁⠀⠀⠀⠀⠈⠉⠛⠳⡀⢀⣴⠯⠛⠋⠉⠉⠈⠉⠹⡚⠽⢷⡀⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⢻⠉⣹⠃⠀⠀⠀⠀⠀⠀⠈⢿⣟⣿⣿⣷⣻⣞⣷⣯⣿ ⠀⠀⣿⣿⣿⣿⣿⢾⡇⠀⠀⠀⠀⠀⠀⠀⠀⠈⢷⠀⡟⠀⠀⠀⠀⠀⠀⠀⠹⣧⣴⢿⣿⣿⣀⡼⣯⡿⠋⠀⠀⠀⠀⠀⠀⠘⣇⢸⡇⠀⠀⠀⠀⠀⠀⠀⠈⢹⡟⠻⣷⣤⣼⣿⣿⣆⡀⠀⢀⡇⠀⠀⠀⠀⠀⢀⣠⠗⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⢇⠀⠁⢹⣿⣿⣿⣿⣿⡀⠸⠶⠀⠀⠀⠀⠀⠀⡼⠀⡇⠀⣠⣀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⢨⣿⣿⣿⣿⣿⠀⢳⡀⠀⠀⠀⠀⠀⠰⣷⠀⣼⠀⢧⠀⠀⠀⠀⠀⠀⠾⠆⣿⠾⢻⣿⣿⣿⠟⢿⡀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠸⣇⠀⠀⠀⠀⠀⠀⠀⣠⣾⡛⢺⣿⣿⣻⣿⣿⣀⣏⠉⠚⠓⠒⠒⠒⠒⠉⢁⣤⠀⠣⣠⡆⠀⠀⠀⠀⠀⠀⠀⠸⢀⣤⠟⣻⣿⣿⣿⣧⠳⣄⡀⠀⠀⠀⠀⢀⣴⠷⠲⣷⡀⠈⠁⠀⠀⠀⠀⠀⡸⠹⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⢰⣿⣿⣿⣿⣿⡀⠀⢭⡲⢤⣄⣀⣀⣀⣤⠞⠃⠀⢈⡳⣄⡀⠀⠀⠀⢀⣴⡟⠀⢸⣿⣿⣿⠰⢿⣿⢶⣤⣀⣠⣶⣀⣤⡾⠋⠀⠙⠷⢦⣾⣷⡤⠶⠿⣯⠉⠃⢸⣿⣍⢻⣿⣿⣿⣿⣷⡀⠀⠀⠀⠀⠀⣰⠃⠀⠳⡄⠈⠉⠓⠒⠲⠐⠦⠒⠒⢺⠁⠜⠀⣿⣿⣿⣿⡿⠀⠀⠉⠙⠒⠒⠉⣟⡵⠀⠀⠈⣏⠲⠤⢤⠤⡤⠴⠊⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⢂⣿⣿⣿⣿⣿⣇⠀⠀⠙⠒⠒⠊⠉⠑⠀⠀⠀⠀⠀⠙⠳⣍⣛⡛⠋⢉⣿⣧⡤⣼⣿⣿⣿⠀⠀⠉⠸⠃⠉⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡛⢻⣿⣿⢹⣿⣿⡇⠀⠀⠀⠀⠐⠷⠂⠀⠒⠾⠂⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⣿⣿⣧⣿⣷⠀⠀⠀⠀⠀⠀⠀⠉⠀⠀⠘⠷⠋⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⠿⠿⠿⠿ ⠀⠂⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⢀⣤⢶⠾⡶⢮⣴⠷⡶⣤⡀⠀⠀⢸⣯⡶⠷⣾⣿⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⢀⣴⡛⣦⣴⢟⡻⢦⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⠛⢻⣿⣿⠋⣿⣿⣍⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⣧⣾⣿⡿⣻⣿⣧⡤⠤⠤⠴⠶⠖⠚⠛⠛⠛⠛⠛⠒⠒⣲⣶⣶⣿⡿⢿⣿⣿⣿⣿⣿⣷⠄⢠⣤ ⠀⡁⢿⣿⣿⣿⣿⣿⣿⣌⠀⠀⠀⠀⣾⣙⣎⣳⣭⢯⣧⢿⣼⣱⣻⣄⠀⣼⣛⠛⠲⣼⣿⣿⣿⣿⣄⠀⠀⠀⠀⠀⣠⣞⣧⣽⡾⣷⣾⣵⣯⣷⡤⠀⠀⠀⠀⠀⢠⣿⣿⢿⣿⣿⣿⣸⢛⣿⣿⡉⠉⠉⠉⠉⠛⠒⠲⠤⢤⣄⣀⣀⡀⠀⠀⠀⠀⠀⠘⡄⠀⠉⢻⣿⡿⣿⣿⣿⣿⣶⣶⣶⣦⣤⣤⣤⣤⣤⣤⡶⠞⢋⣩⠞⠋⠁⢀⣾⣿⣿⢿⣿⣻⠏⠃⡠⠔ ⠀⠄⣹⣿⣿⣿⣿⣿⣿⣿⣮⡂⠀⠀⠿⣯⣝⣱⢎⠳⣌⠳⣌⠳⣍⣻⣾⠏⠈⡹⡆⢸⣿⣿⣿⣽⣻⣦⡀⠀⠀⠀⠉⠻⣟⡟⣰⢏⡳⢎⣶⠋⠀⠀⠀⠀⢀⣴⣿⣿⣯⣷⣿⣿⣿⠇⣼⣿⣿⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠉⠙⢻⠉⠳⢤⠀⣿⣿⣇⣿⣿⣿⣿⡏⠛⠻⢿⣍⣉⣉⣉⣁⣠⡤⠖⠋⠀⠀⠀⣠⣿⣿⣻⡽⣿⣾⣁⣆⠮⢤⡶ ⠀⠂⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣮⣑⠄⠀⠈⠉⠉⠛⠉⠛⠉⢋⣭⣿⣯⣀⢀⣁⣿⢻⣿⣿⣿⣾⣽⣿⡿⣷⣤⣀⠀⠀⢨⢣⠯⣮⠵⠛⠁⠀⠀⣀⣤⣾⡿⣿⣽⣻⣿⣿⢿⣿⣿⠀⢹⣿⣿⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⡆⠀⠈⣿⣿⣿⣟⠡⢉⠋⢁⠉⢳⣄⠀⠀⠉⠉⠉⠉⠀⠀⠀⠀⣀⣴⣾⢿⣻⠷⣯⣟⡷⣭⣇⣤⡰⢥⡴ ⢀⠃⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣾⠀⠀⠀⢠⣐⣤⣽⣾⣿⣿⣿⠋⠀⠀⠈⢿⣿⣿⢿⣿⣿⣽⣻⡽⣯⢿⣿⣷⣾⣸⡒⣒⣒⣶⣶⡾⢿⡻⠯⠷⠛⠛⠉⠉⠀⠳⣼⣿⣿⠀⢸⠛⠿⣿⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⢣⠀⠀⢹⣿⣿⡇⠂⠄⠈⠠⠀⣰⠟⡗⠀⠀⠀⠀⠀⠀⠀⡶⣿⣟⣯⣟⣯⢯⣟⡷⡾⣽⣳⢽⣺⡵⣶⠖ ⠀⠎⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀⢸⢿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⢺⣿⣿⠲⣧⡿⢦⠑⡜⢨⢁⣿⠀⠈⡏⠀⠀⠀⣿⡆⡘⢢⠑⠌⢂⠡⢀⠐⠠⠐⣠⣿⣿⣿⡇⠸⡄⠀⠆⠀⠀⠀⡄⠀⠀⠀⠀⠀⠀⠀⠀⣀⣴⡛⢦⡀⠀⠘⡄⠀⢸⣿⣿⡏⢀⠈⡀⠁⣰⠏⢀⡇⠀⠀⠀⠀⠀⠀⠀⢷⠈⣷⢯⡾⣽⣳⠾⣽⣽⡳⢯⣳⣏⡾⣝⡊ ⡘⢼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠀⠉⢿⣿⣿⣿⣿⣿⠆⠀⠀⠀⢸⣿⣿⠐⢀⠒⠄⠊⠄⠁⢂⡼⠒⢋⣳⠤⠤⢤⠇⢷⡀⠀⠈⠀⠂⠐⠀⠈⠀⠁⣼⢻⣿⣿⣇⠀⢇⠘⣀⣀⡀⣰⠁⠀⠀⠀⠀⠀⣴⣖⠻⣍⢦⡙⣮⢹⢲⡄⠱⠀⢸⣿⣿⡏⠀⡀⠄⢰⡏⠀⣸⠀⠀⠀⠀⠀⠀⠀⠀⠸⠀⢺⣯⣟⡷⢯⣟⡷⡾⣽⢯⣳⡽⣝⡳⠀ ⡜⣽⣿⣿⣿⣿⣿⣿⣿⣿⢿⢫⢭⣹⣧⣄⣦⣴⣤⣦⣄⣄⡻⣏⠝⣿⣿⣧⠀⠀⠀⢸⣿⣿⠀⠀⠀⠂⠁⣠⠞⢿⣠⠞⠛⣻⠆⢸⣻⡄⠈⢧⡀⡞⠻⣆⠀⠀⠀⠀⢠⡟⢸⣿⣿⣹⠀⢸⣷⣿⣿⡟⠁⠀⠀⠀⠀⢐⣴⠳⣌⠳⣌⠦⡹⣆⢇⠳⣺⣆⠡⡀⣿⣿⣏⠀⠄⢠⡟⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⢿⡾⣽⣻⢾⣽⣻⣭⣟⣧⢿⡝⡇⠁ ⢾⣿⣿⣿⣿⣿⣿⣿⡿⣙⣎⣳⡾⣋⠷⣘⠖⡦⣓⢦⡙⢮⡝⣻⢻⣼⣿⣿⣆⠀⠀⢺⣿⣿⠀⠀⠀⢀⡾⠃⢀⣾⡥⠖⢛⣻⠠⢁⣿⡷⣶⢶⣾⣇⠠⢹⡆⠀⠀⠀⣾⠁⣼⣿⣿⠻⡇⠀⢿⠃⠁⠀⠀⠀⢀⣠⡴⠻⣌⠳⣌⠳⡌⠶⣑⢯⢎⠵⣢⢻⣶⠠⣿⣿⡧⠀⢂⡾⠁⠀⢸⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠀⠈⢿⣳⢯⣟⡾⣵⣻⢮⣯⢟⡼⢁⠀ ⣿⣿⣿⣿⣿⣿⣿⠯⣕⣣⣾⢳⡱⣍⠞⣥⢛⡴⣩⠖⡹⢦⡙⢦⠳⣌⡛⣿⣿⣧⣄⣻⣿⣿⠀⠀⢠⠟⠀⢰⣾⠋⠳⣶⣏⣡⣢⣥⣿⣻⢞⡽⣞⣿⡄⠀⢿⠀⠀⣰⠇⢰⣿⣿⣿⠀⢷⠀⠘⣆⠀⠀⢀⣠⠼⣧⣍⠳⣌⠳⣌⢳⣘⢣⡍⡞⣏⠶⣡⢋⣿⡔⣿⣿⡗⢠⡿⠁⠀⣈⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢧⠈⠀⠛⣟⡾⣽⣳⢯⣟⡾⢍⠀⢐⡰ ⣿⣿⣿⣿⣿⣿⣋⢾⣱⣿⣮⡱⢚⡬⣙⢦⢫⡔⣣⠏⡵⢣⡝⣪⠳⣌⢳⣼⣿⣿⣿⣿⣿⣿⠀⢰⠏⡀⣼⣿⠃⠠⣵⣿⣻⢻⡽⣏⡷⣏⡿⡽⣾⡁⢷⡈⠘⢧⣴⠋⢀⡟⢸⣿⣿⠀⠸⣆⠀⠈⠙⠋⠉⠀⢀⣸⣦⣳⡼⣳⡘⡖⢬⣃⠞⣸⢹⡲⢡⢳⡘⣿⣿⣿⣟⠚⠁⠀⣐⣼⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣧⡀⢀⠈⠙⠳⢏⡟⠎⠑⠀⢀⣲⢽ ⣿⣿⣿⣿⣿⠳⣌⣷⣿⣿⣿⣿⡷⣮⣕⣮⡱⢎⡵⢪⡕⣣⢞⣥⣫⣼⢟⣻⣿⣿⣿⣹⣿⣿⢀⡟⠀⣸⡿⠃⢀⣽⣿⣣⣟⢯⡷⢯⡽⡾⣝⣷⣻⡇⠈⢷⡀⠠⢀⣤⠟⠁⢸⣿⣿⡀⢆⠨⢓⠲⠖⠖⠒⠚⠉⠀⠉⠁⢀⣿⠱⢎⡣⡜⢎⡥⣋⠷⣭⠶⠛⣟⣿⣿⡧⠀⢂⣰⢟⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣤⣐⠀⡁⠀⠀⠐⢀⠸⣴⢯⣟ ⠛⠛⣿⣿⢣⣛⣾⣿⣿⣿⣿⣿⡟⡴⢪⡜⡽⢫⡝⣣⢛⡭⣋⢾⣿⣿⡜⡼⢿⣿⠳⣼⣿⣿⢸⠃⢰⡟⠁⠠⣼⢳⣯⠷⣞⣻⣞⢯⣟⡽⡽⡶⢯⣷⠀⠀⠙⠛⠋⠁⠀⠀⢸⣿⣿⡘⣌⠣⢎⠔⡈⢆⢉⡐⠠⢁⠐⠀⣸⡟⡍⠶⣑⢎⡣⢖⡡⢏⣽⠀⠀⣿⣿⣿⣧⢐⡾⠃⣸⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢷⣻⢞⣻⢶⡱⣖⣞⡾⣻⣽⣻⢾ ⠀⠸⣼⢏⢧⣿⡏⡜⡩⢏⡛⣿⡝⣜⢣⠞⣜⢣⠞⣡⢏⠶⣩⣿⡟⢿⢿⣜⢣⢎⠳⣼⣿⣿⢹⡄⠊⢀⢐⡼⢣⣾⢯⢿⣹⠷⣞⣻⣼⢻⡽⣽⣛⡾⣇⠀⠐⠓⠦⠀⢀⣀⣸⣿⣿⡱⢊⡕⢪⢌⡑⢂⠂⠤⡁⠂⠌⣠⣿⡛⡜⣱⢊⠶⡑⢮⡑⠮⢼⡆⠀⢸⣿⣿⣧⠉⠤⢰⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣯⣟⢧⣯⢳⣏⣾⡹⣗⣯⡽⢯ ⠀⠸⣾⣎⢻⣿⣷⢨⡑⢣⢜⣿⡜⣬⢣⡛⡬⢎⡝⢦⣋⠞⣥⣿⣏⠲⡌⡞⠻⡞⢻⣿⣿⣿⠈⠻⠶⠞⠋⢀⣿⢯⣯⣻⣭⢿⣹⢧⡟⣯⡽⣞⣭⡟⣿⣆⠀⠀⠀⠀⠂⠀⢹⣿⣿⡱⣃⢮⡑⢎⡔⡃⠎⡔⣨⠑⣌⣾⢏⠲⣉⢦⢋⠶⡙⠦⢭⡙⢦⣇⠀⠘⣿⣿⡧⠈⢄⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣯⣟⡼⣳⢞⡶⣫⢗⣮⢽⣻ ⠀⠀⠹⢷⣧⢚⣿⣧⡌⢡⢊⣿⡘⢦⢣⡝⡜⣣⠞⣱⢪⢝⡲⣿⡇⡓⠸⡌⠓⡬⠑⢾⣿⣿⡤⣤⣄⢦⣴⣿⢯⣟⡶⣻⡼⣏⣟⡾⣽⡳⢯⣻⣼⢻⣵⣻⣷⣤⣦⢴⡰⣆⣾⣿⣿⡳⣍⢖⡩⢖⡸⢌⠳⣘⠤⣓⣾⠏⣎⡱⢍⠦⣋⠼⣩⡙⢦⡙⢦⣹⠀⠀⣿⣿⣟⢈⡾⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⢼⡳⣏⢷⣫⢟⡼⣣⢟ ⠀⠀⠀⣍⠻⣧⣚⡽⣿⣄⠢⣟⡜⣣⢳⢸⡱⣃⠻⣔⣋⠞⡴⢿⣽⡈⠱⣈⠣⢐⠩⣼⣿⣿⠉⠉⣹⣿⣿⣿⣷⣾⣽⣳⣽⣫⣾⡽⣶⣻⢯⣷⣭⣿⣶⣿⣿⣿⣿⡍⠉⠉⢹⣿⣿⡵⣊⢮⡱⢫⣔⢫⢞⣥⡷⠿⠿⠾⠶⠵⠮⣶⣍⣶⣡⣎⣥⣙⣦⣽⠤⠀⣿⣿⣯⣼⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣇⠙⢌⠃⡉⢊⠡⢉⠈ ⠀⠀⠈⠀⠁⠁⠙⢶⣭⣻⡷⢿⣬⡑⢧⢣⡓⣭⠳⡜⣬⢛⠼⣹⣏⠛⠓⠀⠈⠉⠉⢹⣿⣿⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⢸⣿⣿⣷⣽⡶⣯⣷⣾⣿⣿⣿⣶⣶⣶⣦⣤⣤⣄⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣆⣄⣢⣄⡥⢢⣤⢦ ⠀⠀⠀⠀⠀⠀⠀⠘⢷⣯⣽⠞⠻⣿⡌⢧⡹⣔⢫⡜⣆⢏⡞⡥⣛⣆⠀⠀⠀⠀⠀⠸⣿⣿⠠⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠆⢸⣿⣿⣿⣟⣿⣏⣿⣿⣻⣞⣷⣻⢾⡽⣯⣟⡿⣿⣷⣾⣿⣿⣿⣶⣶⣶⣶⣿⢿⣿⣿⡇⠀⢀⣤⠶⠶⠶⢤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡴⠶⠶⠦⣄⠀⠙⣿⣷⢿⣻⣿⢾⣻ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣗⣤⣿⣽⡏⢶⡱⢎⡣⢞⡜⣜⢲⡱⢣⡾⣷⣄⡀⠀⠀⠸⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⢾⣷⣹⣿⣞⣷⣻⢾⡽⣯⣟⡷⣯⣟⣷⣿⣟⣯⢷⣻⣞⣷⣻⢾⡽⣯⣿⣿⣇⡴⠋⠀⠀⠀⠀⠀⠉⠳⣄⠀⠀⠀⠀⠀⣠⠞⠁⠀⠀⠀⠀⠈⠳⣆⢘⣯⣿⣟⣾⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⡿⣿⢛⡝⢦⡓⣭⢚⡵⢚⡬⢣⡝⢣⠞⡴⣩⢝⡳⢦⣸⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣧⣿⣷⣻⢾⡽⣯⣟⡷⣯⣟⣷⣻⣾⣟⡾⣽⢯⣷⣻⢾⡽⣯⣟⡷⣿⣿⡟⠁⠀⠂⠁⠀⠁⠀⠄⠀⠉⠳⠶⠶⠖⠋⠁⠀⠀⠀⠈⠀⠁⠂⠀⠈⢿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣎⡜⣣⠞⡴⢋⡴⢫⡜⣣⠞⣥⣛⣴⣣⣎⣵⣣⣽⣿⣿⣦⢖⡦⢶⡴⣲⣒⣖⣲⣒⢦⣒⢦⣒⢦⢲⡰⢆⡲⣔⢢⡲⣔⡲⣔⢦⡖⢶⣺⣿⣿⣿⢿⣳⣿⣳⢯⡿⣽⣳⢯⣟⣷⣻⣞⡷⣿⣯⢿⣽⣻⢶⣯⢿⣽⣳⢯⣟⣿⣿⡇⠀⠠⠐⠀⠀⠐⠀⠀⠐⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⡈⠀⠈⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣜⠥⣛⡜⣩⣼⢷⣾⣷⣿⣿⣍⠙⠛⠿⣿⣿⣿⣿⣿⠛⠞⠹⠓⠛⠳⠙⠚⠣⠛⠚⠙⠚⠙⠚⠓⠛⠋⠓⠋⠓⠛⠚⠓⠙⠚⠘⠃⢻⣿⣿⣟⡿⣯⣿⡽⣯⣟⡷⣯⣟⡾⣷⣿⠿⡛⣿⣯⣟⡾⣽⣻⣞⡿⣾⣽⣿⠟⣻⣿⡇⠀⠠⠀⠀⠠⠀⠀⠀⠀⠄⠀⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⡀⢸⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⠖⠋⠁⠀⠀⠈⠙⠿⣿⣿⣧⠀⠀⠈⢿⣿⣿⣿⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⢯⡿⣽⡿⣽⣟⡾⣽⣳⢯⣟⣿⠁⠑⠃⢻⣷⢯⣟⣷⣻⢾⣽⣳⣿⡋⢤⣿⣿⡇⠀⠂⠀⠄⠀⠄⠀⠀⠄⣸⡇⠀⠁⠠⢀⡐⠀⠀⠀⠀⠀⠁⠀⠁⠀⠀⠀⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⢀⠀⠀⠀⠀⠀⠀⠹⣿⣿⣧⠀⠀⢸⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣯⢿⣽⣿⣳⢯⣟⡷⣯⣟⣾⣿⠀⡄⡀⢸⣿⣻⣞⡷⣯⣟⣾⣳⣿⡄⠁⣹⣿⡇⠀⠌⠀⠀⠀⠀⠀⠂⠀⣏⠀⠀⠀⢀⠀⢹⠆⠠⠀⠂⠄⠁⠀⠂⠁⢈⠀⢸⣿⣿⣿⣿ ⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣐⣀⣐⣀⣄⣂⣤⣡⣀⣌⣐⣿⣿⣿⣀⣐⣈⣿⣿⣿⡀⢀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⢀⣀⢀⣀⣀⣀⣀⣀⠀⠀⣀⠀⢸⣿⣿⢯⣟⢾⣷⣯⣿⣾⣽⣳⣟⣾⣏⣖⣡⣒⣍⣿⣷⣯⣟⣷⣻⣞⣷⣻⣇⣀⣿⣿⣇⣀⣠⣀⣀⣁⣀⣀⣀⣀⣯⢀⣀⣁⣀⣀⣸⣇⣀⣀⣠⣀⣀⣀⣠⣀⣀⣀⣘⣯⣟⣼⣳
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⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠳⢦⣤⡶⠟⠛⣿⢉⡿⠛⠋⠛⣷⣄⣿⣦⣆⠀ ⠀⠀⠀⢀⣴⡿⠿⣿⣦⡀⠿⣼⠁⠀⠀⠀⠛⠛⣿⣿⣿⣿ ⠀⠀⢠⡾⠋⣷⠀⣿⠈⠁⠀⠸⣇⠀⠀⠀⠀⣸⠏⢻⣿⡿ ⠀⢠⡿⠓⠚⠁⠀⣿⠀⠀⠀⠀⠹⣦⡀⠀⣰⡟⠀⠀⢿⣿ ⠀⣼⠛⢷⣄⣀⣀⣿⠀⣠⣤⣤⣤⣬⣝⠛⠛⠀⠀⢠⡼⣷ ⠀⣿⠀⠀⠈⠉⠉⠁⣾⣩⣷⣸⠿⡴⢿⣿⣆⠀⢀⠸⣷⣿ ⠀⣿⠀⠀⠀⠀⠀⢸⣿⠛⠁⠉⠀⠀⠀⠀⠙⣷⣼⣦⣿⣿ ⢨⣿⡄⢀⢀⠀⠀⣿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣿⣿⡏ ⠘⣿⣧⠀⡎⣆⡄⣿⠀⠀⠀⠀⠀⢀⣄⢀⣠⣤⣼⣿⡇⠙ ⠀⢻⢿⣿⣿⣿⣷⡿⠀⢰⢶⣴⣶⣟⣹⣿⡿⣿⣏⠋⠉⠀ ⠀⠈⠋⠌⠉⠋⠛⠛⠛⠛⠛⠛⠉⠉⠁⠀⠁⠀⠁⠀⠀⠀
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⢕⢝⢕⢝⢕⢝⢕⢝⢵⢝⢵⢝⢽⢝⢽⠕⢅⠕⢕⠕⢕⠕⢕⠕⢕⠕⢕⢕⢕⢕⢕⢕⢕⢕⢕⠕⢕⠕⢕⠕⢕⠕⢕⠕⢕⠕⠅⠁⢕⢕⢕⠕⢕⢕⢕⠕⠅⠁⢕⢽⢕⠁⢅⠕⠕⢝⢽⢿⣿⣿⢕ ⢵⢝⢵⢝⢽⢽⢵⢝⢵⢝⢵⢝⢽⢽⢽⠕⢅⠕⢕⠕⢕⠕⢕⠕⢕⢕⢕⢕⢕⢕⢕⢕⢕⢕⢕⠕⢕⠕⢕⠕⢕⠕⢕⠕⢕⠕⢕⠁⢕⢕⢅⠕⢕⠕⢕⠕⠅⠁⠅⠕⠅⠁⢅⠑⢅⢝⢽⢿⣿⣿⢅ ⢽⢽⢽⢿⣿⣿⣿⣿⣽⢽⢽⢝⢽⢝⢽⠕⢅⠕⢕⠕⢕⠕⢕⠕⢕⢕⢕⢕⢕⢕⢕⢕⠕⠕⠕⠕⢕⠕⢕⠕⢕⠕⢕⠕⢕⠕⢕⠅⠀⢝⢕⢕⢕⠕⠅⠅⠅⠁⢵⠅⠄⠁⠅⠅⢵⢽⢽⢿⢿⢿⢕ ⣽⢿⣽⢿⢽⢿⢿⢿⢽⢿⢽⢟⢽⢝⢽⠕⢕⠕⢕⠕⢕⠕⢕⢕⢕⢕⢕⢕⢕⠑⠅⠁⠄⠁⠄⠁⠅⠅⢕⠕⢕⠕⢕⠕⢕⠕⢕⠕⠄⠕⢕⠕⢅⠕⠅⠅⠄⠁⢵⠅⢅⠅⠅⢝⢽⢝⢽⢽⣽⣽⢕ ⣽⢿⣿⢿⢽⢽⢽⢝⢵⢝⢽⢝⢽⢽⢽⠕⢕⠕⢕⠕⢕⠕⢕⢕⢕⢕⢕⢕⢕⠁⢕⢝⢕⢝⢕⢝⢕⠅⢕⢕⢕⠕⢕⠕⢕⠕⢅⠕⢕⠕⢕⠕⢕⠕⠅⠁⠅⠙⢕⠅⠄⠕⠅⠁⢵⢽⢵⢿⣿⣿⢕ ⢽⢿⣽⢿⣽⢿⢽⢝⢽⢝⢵⢝⢽⢽⢽⠕⢕⠕⢕⠕⢕⠕⢕⢕⢕⢕⢕⢕⢕⠅⢕⢝⢕⢝⢕⢝⢕⠅⢵⢝⢕⢕⢕⢕⢕⢕⢕⢕⢕⠕⢕⠕⢅⠕⠅⠅⠅⠁⢅⢕⢕⠕⠄⠕⢵⠝⢽⢝⣿⣿⢕ ⢽⢿⢽⢿⢽⢿⢽⢽⢽⢝⢵⢝⢽⢽⢽⠕⢕⠕⢕⠕⢕⠕⢕⠕⢕⠕⢕⢕⢕⠁⢕⢝⢕⢝⢕⢝⢕⢝⢕⢝⢕⢝⢕⢝⢕⢝⢕⢕⢕⢕⢕⢕⢕⠕⢕⠕⢅⠅⠕⢕⠅⠁⢕⠑⢵⢽⢅⢝⢿⣟⠕ ⢽⢿⢽⢿⢽⢽⢽⢽⢽⢝⢵⢝⢽⢝⢽⠕⢕⠕⢕⠕⢕⠕⢕⠕⢕⠕⢕⠕⢕⠅⢕⢝⢕⢝⢵⢝⢕⢝⢕⢝⢵⢝⢵⢝⢵⢝⢕⢝⢕⢝⢕⢝⢵⢝⢕⢕⢅⠕⢅⢙⢕⠑⢕⢕⢕⢕⢕⢽⢽⢽⠅ ⢽⢽⢽⢽⢽⢽⢽⢝⢽⢝⢵⢝⢽⢝⢽⠕⢅⠕⢕⠕⢕⠕⢕⠕⢕⠕⢕⠕⢕⠁⢕⢝⢵⢝⢕⢝⢽⢿⣽⢿⣿⣿⣿⢽⢵⢝⢕⢝⢕⢝⢕⢝⢕⢝⢕⢕⢕⠕⠅⠝⠅⠅⠄⢝⢵⢝⢕⢽⣽⢟⢕ ⢽⢝⢽⢝⢽⢝⢽⢝⢵⢝⢵⢝⢵⢝⢵⠕⢅⠕⢕⠕⢕⠕⢕⠕⢕⠕⢕⠕⢕⠁⠁⠁⠅⢝⢵⢝⢵⢽⣽⢿⣿⣿⣿⢿⢕⢝⢵⢽⢽⢿⢽⢿⢽⢝⢵⢝⢕⠕⢵⠅⢅⠕⢕⢝⢵⢟⢕⢕⢽⣟⢕ ⢽⢝⢽⢝⢽⢝⢵⢝⢵⢝⢕⢕⢕⢝⢵⠕⢅⠕⢅⠕⢅⠅⠅⠁⠅⠕⠅⠕⢕⠕⢕⠕⢅⢝⢽⢝⢕⢝⢽⢿⣿⣿⣿⢝⢵⢝⢵⢝⢽⢿⣽⢿⢽⢽⢽⢝⢕⢽⣽⠕⠕⢕⢕⢟⢽⢕⢵⢕⣽⢟⢕ ⢵⢝⢵⢝⢵⢝⢕⢝⢕⢝⢕⢕⢕⢝⢕⠕⢅⠕⢅⠑⠅⠁⠅⢁⢅⢕⢅⢕⢅⠕⢕⢝⢕⢝⢕⢝⢕⢕⢕⢝⢽⢝⢽⢝⢽⢝⢵⢝⢽⢿⣿⣿⣽⢝⣿⢝⢽⠝⠅⠕⢕⠕⢅⢝⢽⢿⢵⠕⢽⢝⢵ ⢵⢝⢵⢝⢕⢝⢕⢝⢕⢕⢕⠕⢕⢕⢕⠕⠅⠕⢅⢕⢕⢕⢕⢕⢕⢕⢕⢕⢕⢝⢕⢝⢕⢝⢵⢝⢵⢝⢵⢝⢵⢝⢕⢝⢵⢝⢕⢝⢽⢿⣽⢿⣿⣿⣽⢽⠅⠑⠄⠕⢕⠕⢝⢕⠕⢝⠅⠕⢕⠁⢅ ⢵⢝⢕⢝⢕⢝⢕⢕⢕⠕⢕⠕⢕⢕⢵⢽⢵⢽⢵⢝⢕⢝⢕⠕⢕⢕⢕⢝⢕⢝⢵⢝⢵⢝⢵⢝⢵⢝⢵⢝⢵⢝⢕⢝⢵⢝⢕⢝⢕⢕⢵⢿⣿⣿⣿⠝⠄⠁⠄⠕⢕⠕⢕⢝⢅⠕⢕⠕⢕⢕⠅ ⠄⠁⠄⠁⢕⢕⣵⢿⣽⢿⣿⢿⣿⢿⣿⣿⣿⣿⣿⣿⣽⢝⢕⠕⢕⢕⢕⢝⢕⢝⢵⢝⢵⢝⢕⢝⢵⢝⢵⢝⢕⢝⢕⠕⢕⢝⢕⢝⢕⠕⢅⠕⢽⢿⠟⠅⠄⠁⠅⠕⢕⢕⢕⢽⣕⠕⢅⠕⢅⠕⢅ ⢥⢽⣽⢿⣽⢿⣿⢿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⢕⠅⠕⢕⢕⢕⢝⢵⢝⢵⢝⢕⢝⢕⢝⢵⢝⢕⢝⢕⢝⢕⠕⢅⠕⠅⠕⢅⠕⠅⠝⠍⠅⢅⠅⢅⠁⠅⠕⢕⢕⢕⢽⢽⠇⠅⠅⠅⠕⠅ ⣽⢿⣿⢿⣿⢿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⢕⠕⠅⠕⢕⢝⢕⢝⢵⢝⢕⢕⢅⢝⢵⢝⢕⢝⢕⢕⢕⢕⢕⢕⢅⢕⢵⢝⠅⠁⠀⠁⠀⠁⠄⠁⠀⠑⠄⠕⢕⠕⢕⢝⢽⢕⠅⠁⠅⠁⢄ ⣿⢿⣿⢿⣿⢿⣿⢿⣿⢿⣿⢿⣿⢿⣿⢿⣿⢿⢽⠝⠅⠁⠅⠕⢕⢕⢕⢝⢕⢝⢕⢝⢕⢝⢕⢕⢕⢕⢕⢕⢕⢕⢕⢕⢕⠕⠁⠁⠀⠁⠀⠁⠄⠁⠄⠁⠀⠁⠀⠕⢕⠕⢕⢕⢕⠕⠅⢁⢔⢝⢕ ⣿⢿⣿⢿⣿⢿⣿⢿⣿⢿⣽⢿⣽⢿⣽⢿⢽⠝⢄⠕⢕⢕⢄⠁⢅⠕⢕⢕⢕⠕⢕⠕⢕⠕⢕⠕⢕⠕⢕⠕⢅⠅⠁⠁⠄⠁⠄⠁⠅⠕⠕⢕⢕⢕⢕⠕⢕⠕⠅⠕⠅⠕⠅⠕⠕⠕⢕⠕⢕⠕⢕ ⣽⢿⣽⢿⣽⢿⢽⢿⢽⢿⢽⢽⣽⢿⣽⢿⣽⢿⢽⢽⢵⢝⢵⢕⢕⠅⢅⠕⢕⠕⢅⠕⢅⠕⢅⠕⠅⠕⢵⢕⢅⠅⠀⠁⠀⠁⠅⠕⠅⠕⠅⠕⠅⠅⠅⠕⠅⠕⠅⠅⠅⠅⠅⠁⠅⠁⠅⠁⠅⠁⠄ ⢽⢿⢽⢿⢽⢝⢽⢽⢽⢿⣽⢿⣽⢿⣽⢿⣽⢿⣽⢿⣽⢿⣽⢿⢽⢽⢽⢽⢵⢕⠅⠕⢅⠁⠅⠁⢐⢝⢕⢝⢽⢕⢅⢁⠄⠁⠅⠅⠅⠅⠅⠅⠅⠕⠅⠅⠅⠅⠅⠅⠅⠁⠅⠕⢅⠕⠅⠕⢅⠕⠅ ⢅⢕⢽⢝⢽⢽⢽⢽⢽⢿⢽⢿⢽⢿⢽⢿⢽⢿⢽⢿⢽⠟⠝⠕⠅⠕⠅⠅⠅⠕⠕⠅⠅⠅⠅⠁⠅⠕⠅⠕⢕⠕⢕⢝⢕⢝⢵⠝⢵⢅⠅⠁⠅⠁⠅⠅⠅⠁⢅⠕⠅⠕⠅⠕⠅⠕⠅⠕⢅⠕⢅ ⢵⠁⠀⠅⠅⠕⠕⢕⢄⠅⢕⠅⠅⠅⠅⠕⠅⠕⠅⠑⠅⠕⢅⠕⠕⠕⠅⠁⠅⠁⠄⠁⠄⠕⠅⠁⠅⠁⠄⠁⠅⠅⠅⠅⠅⠕⢕⠕⢕⢝⢕⢕⠅⠁⠅⠁⠅⠁⠅⠕⠅⠕⢅⠕⢅⠕⠅⠕⠅⠕⢅ ⢽⢕⢕⢕⢅⠕⢕⠝⢵⢕⢕⢕⢅⢕⢅⢕⢅⠕⢅⠕⢅⠕⠅⠕⠅⠅⠅⠅⠅⠅⠄⠁⠄⠁⠄⠅⠅⠁⠄⠁⠀⠁⠀⠁⠄⠁⠅⠅⠅⠑⠅⢝⢽⠁⠀⠁⠅⠁⠅⠕⠅⠕⠅⠕⠅⠕⠅⠕⠅⠕⠅ ⢅⠕⢕⢕⢕⢕⢕⠕⢕⢕⢕⠕⢕⠕⢕⢕⢕⠕⢕⠕⢕⠕⠅⠕⠅⠅⠅⠅⢅⠕⠅⠅⠄⠁⠅⠅⠅⠁⠄⠁⠄⠁⠅⠁⠅⠁⠅⠁⠅⠁⠅⢝⢵⢝⠄⠁⠀⠁⠅⠅⠅⠕⠅⠕⠅⠕⠅⠕⠅⠕⠅ ⢅⠕⢅⢝⢕⠕⠅⠕⢕⠕⢕⢕⢕⠕⠅⠕⠅⠕⠅⠕⢅⠕⠅⠅⠅⠅⢅⠕⠅⠅⠅⠅⠅⠁⠀⠁⠀⠅⠅⠅⠀⠁⠅⠁⠄⠁⠀⠁⠄⠅⠀⠑⢕⢕⢕⠁⠀⠁⠄⠁⠅⠕⠅⠅⠅⠕⠅⠕⠅⠅⠅🔞

Warning: This item may contain sensitive themes such as nudity.

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