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

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⠀⠀⣠⣄⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣠⣤⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿ ⠀⠀⠸⣿⣧⣤⣤⣴⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠒⠋⠉⠒⠲⢤⣸⣿⣿⣿⣿ ⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⠛⠿⡿⢿⡛⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⢯⣍⠉⠉⠉ ⣀⣀⣀⣽⣾⣿⣿⣿⣿⡿⢿⣿⠟⠛⠉⠁⠀⠀⣉⣀⢀⣀⣀⣀⠈⠒⠮⢦⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⢄⠀⠙⢧⠀⠀ ⠈⠉⠉⠉⠉⣉⡷⠤⠒⠒⣢⠋⠀⠀⢀⡠⠔⠋⢉⠁⠀⠀⠀⢀⡽⠒⠐⠢⢄⠈⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠣⡀⢸⠀⠀ ⠀⠀⠀⢀⡞⠁⠀⠀⢀⡜⠁⠀⣠⠚⠁⠀⡄⠀⣾⠀⣧⠀⢀⡿⠀⠀⠀⠀⠀⠀⠐⠦⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠱⡞⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢀⠎⠀⣠⠞⠁⠀⠀⠘⠀⠀⡿⠀⣿⡆⠀⢀⠀⠀⢠⠀⣀⡔⠒⠀⠈⠛⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀ ⠀⠀⠀⠀⠀⠀⢠⠊⠀⣰⠏⠀⢀⣤⣤⣤⡀⠀⠁⢠⡿⠃⢰⡇⣠⢠⣿⣿⣿⣿⣷⣶⣶⡄⠈⠉⢳⡄⠀⠀⠀⠀⠀⠀⡇⠀⠀ ⠀⠀⠀⠀⠀⢀⠏⠀⣴⢃⠀⠀⣿⣿⣿⣿⣿⡆⠀⠀⠳⠀⣾⠿⠋⣸⣿⣿⣻⣿⣿⣿⣿⡿⠀⠀⠀⢻⡆⠀⠀⠀⠀⠀⠁⠀⠀ ⠀⠀⠀⠀⠀⠸⠀⠘⠁⠀⠀⠸⣿⣿⣿⣿⡿⠃⠀⠀⠀⠀⠀⠀⠀⠈⠻⢿⣿⣿⣿⡿⠟⠁⠀⠀⠀⠀⠹⡆⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⡇⢀⠇⠀⠀⠀⠀⠈⠉⠉⠉⠀⠀⣴⣶⣤⣴⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⠀⡄⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢠⠇⡞⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⡿⠛⠁⠀⠀⠀⠆⠠⢤⣀⠀⢠⡄⠀⠀⠀⠀⠀⠸⡇⢸⠀⣶⠀⠀⠀ ⠀⠀⠀⠀⢸⡐⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⠟⠀⠀⠀⠀⢀⠀⣀⡀⠒⢤⣠⠤⢽⣶⣤⣤⠐⠀⣸⡇⡼⢸⡇⠀⠀⠀ ⠀⠀⠀⠀⠈⣧⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡴⠚⠛⠓⢲⣤⡀⠀⠀⠀⠁⡹⣿⣶⣌⣻⣍⡛⠛⠿⣟⣷⣟⢠⣧⣿⠁⠀⠀⠀ ⠀⠀⠀⠀⠀⠘⢦⡀⠀⠀⠀⠀⠀⠀⠀⠈⢿⡿⠒⠒⢺⣿⣿⣿⣷⣶⣄⣾⣷⣿⣿⡿⣿⣿⣿⣷⣤⣽⠟⣸⣿⣿⣿⣷⡄⠀⠀ ⠀⠀⠀⠀⣤⣾⣿⢷⣄⠀⠀⠀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠈⠉⠉⠉⠸⠏⠛⢻⣿⣘⣿⣿⣿⣿⣧⣼⣿⣿⣿⣿⣿⡆⠀⠀ ⠀⠀⠀⢐⡋⠀⠀⢸⣿⣿⢦⣀⣀⣈⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣈⣿⣿⠿⣛⣯⣿⣿⣿⣿⣿⣿⣿⣇⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣰⣿⠋⠀⠀⢀⡀⠉⠛⠛⢀⣀⣀⡀⠀⠀⠀⠀⠀⣀⣤⣤⣼⣯⣭⣽⣿⣶⣿⣿⣿⠿⢟⣿⣿⣿⣿⣯⠀⠀⠀ ⠀⠀⠀⠀⢠⡟⣽⠃⠀⠀⠀⠀⠈⠑⠂⠀⠀⠉⠀⠁⠀⠉⠀⠐⠛⠿⠁⠈⣙⠛⠿⠻⠿⠿⣿⣿⠿⠛⠛⠃⠀⠹⣿⡏⠀⠀⠀ ⠀⠀⠀⣠⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠒⠈⠀⠀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠀⠀⠀ ⠀⠀⢨⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢸⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢴⠚⠂⠀⢉⣠⡴⠶⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣼⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢄⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡴⠒⠚⠋⣀⣀⣀⣀⡀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠊⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⢀⠀⠀⠀⠀⠀⠚⠀⠀⠠⠠⠤⠈⠉⠉⢉⠀⠀⠀⠀⠀⠀⢠ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠒⢤⡀⠀⠀⠀⠀⢀⣠⡤⠀⠈⠉⠉⠀⠀⠀⠀⠀⠀⠘
⠀⠀⢄⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡭⠽⣓⡼⣀⡀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣾⣡⣡⠇ ⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣿⠁⠀⠀ ⠘⠀⠀⠀⠀⠀⠀⠀⠀⠠⠀⠀⠀⠀⠀⠐⡀⣴⣶⣶⣦⡀⠀⠀⠀⠀⠉⠢⠀⣀ ⠀⠀⠀⢀⣰⣶⣶⣦⡆⠀⢈⠀⠀⠀⠀⢴⣿⣿⣿⣿⡏⣿⠦⠀⠠⠤⠀⠀⠙⢸ ⠀⠀⠀⢸⣯⣿⣿⣿⣿⠀⠀⠈⠁⠀⠀⠀⢿⣿⣿⣿⢟⡿⠀⠀⠀⠀⠀⠀⠀⠨ ⠀⠀⠀⠘⢿⣿⣿⣿⠟⢀⣀⣀⣀⠒⠠⠄⠀⠈⠙⠛⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠈⠉⠋⠀⠀⢼⣟⡛⣉⣹⠷⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣙⣿⣿⡥⠤⠤⢐⣒⠤⠀⠀⠀⢄⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢊⠭⣴⠟⠉⠉⠙⠪⡑⠢⠌⣑⠠⠀⠀⠀⠀⠀⠀⠀⠀⢠ ⠀⠀⠀⠀⠀⠄⠔⠈⡀⠘⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠢⡀⠀⠀⠀⠀⠀⠀⡈ ⠀⠀⠀⠀⠀⠀⠀⠘⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣒⡊⢙⡺⣿⣆⣸⡏⠁⠀⠀ ⠀⠀⠀⠈⠂⠀⠑⠦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠿⢿⣍⠓⣶⡿⢠⡶⣾⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢐⣶⢯⣽⡇⣼⣡⣿⠀ ⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢾⣿⣿⣿⡇⠉⠉⠁⠀ ⣏⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢙⣿⣿⡇⠀⠀⠀⠀ ⠘⠇⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠄⠀⣀⣠⣤⣤⣦⣤⡀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠻⣇⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⢀⡄⠀⠀⠄⠀⠀⠀⠀⠀⣀⣾⣿⣿⣿⣿⣿⣿⣦⡤⠀⠀⠀⠀⠀⠀⠀⠀⠈⠳⣄⠐⣾ ⠀⠀⠀⠀⠀⠀⠁⣠⣾⣿⣿⣿⣦⣸⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⣆⣿⣿⣿⣿⣿⣿⣿⣿⣯⣿⣿⠦⡄⠀⠀⠤⠤⠀⠀⠀⠀⠙⠀⣿ ⠀⠀⠀⠀⠀⢐⣿⣿⢿⣿⣿⣿⣿⣿⣶⡀⠀⠈⠁⠄⠖⠀⠀⠀⠀⠈⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹ ⠀⠀⠀⠀⠀⢸⣿⣁⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢿⣿⣿⣿⣿⣿⠟⢩⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘ ⠀⠀⠀⠀⠀⠸⣿⣿⣿⣿⣿⣿⣿⣿⠏⠀⠀⠀⠀⠀⠀⠀⠤⣄⣀⠀⠀⠀⠈⠉⠻⠭⠽⠶⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈ ⠀⠀⠀⠀⠀⠀⠈⠻⣿⣿⣿⡿⠛⠁⠀⠀⣶⣤⣴⣶⣶⣦⣤⣄⡘⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠀⠀⠀⠀⢼⣿⣿⠛⠉⠉⢉⣹⣿⣿⠓⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⣿⣷⣿⡿⠟⠃⠀⠀⠀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠂⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⡼⣿⣿⣗⣒⠒⠒⠒⠦⠤⣄⣉⠓⠂⠀⠀⠀⠀⠐⠠⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠴⠒⢛⣉⣤⣾⠿⠟⠉⠙⠛⠷⣤⡁⠲⠤⣀⠉⠑⠂⢄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣈ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡤⠖⠋⣽⡿⠋⠀⠀⠀⠀⠀⠀⠀⠙⠆⡄⠀⠉⠓⠢⢄⡈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸ ⠀⠀⠀⠀⠀⠀⠀⠀⢄⣀⡤⠊⠁⢀⡀⠰⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⡄⠀⢀⠀⠀⠈⠳⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠈⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣬⣤ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈
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⣯⣭⡙⠉⠉⠯⠍⠉⠉⠙⠉⠉⠉⠭⠉⠉⠩⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⡩⢍⢉⢝⣏⣙ ⡗⣿⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⡄⠁⢉⣉⣨ ⣏⡳⠠⠐⠀⠀⡄⠀⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⠃⡏⠀⠉⠉⠉⠉ ⣿⣷⢀⠀⠀⠈⡁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢀⣰⠀⢰⠀⠀⠀ ⡿⠙⡀⠀⠀⠐⡐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⢹⠆⠀⠀⠀⠀ ⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⡮⣾⠀⠀⠀⠀ ⡧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠣⠟⠀⠀⠀⠀ ⣿⡝⠀⠀⠀⠈⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣤⣤⣦⣦⣴⣦⣮⣿⣆⣠⣶⣶⣤ ⡏⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢪⣤⣤⣿⡿⠻⠛⠛⠙⠻⠿⠿⠉⠿⣋⠻⠼⠋ ⡗⣶⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⢀⢤⣴⣤⣾⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀ ⡇⠚⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣾⣿⢿⣟⣿⠄⠚⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡄⠸⣦⣿⢷⠇⢎⠰⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⢾ ⡷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⣠⣴⣻⣿⡿⢿⡟⡞⠃⠚⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿ ⡿⠆⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⢈⣵⣿⣿⣿⢿⡙⠙⢻⣹⣀⡀⡀⠡⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⣾⣿ ⡟⢈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣐⣿⣷⣾⣯⡇⠍⢻⡸⢀⢀⠌⢉⣽⣿⣿⣷⣦⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⠀⠀⠀⢻⣿ ⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣄⣥⣾⡿⡏⠀⠀⠈⠀⠀⠄⠣⣦⣴⣾⣿⣿⣿⣿⣿⣿⣧⡀⠀⠀⠀⠀⠀⡀⠀⣤⣗⣮⡀⠀⠀⢹ ⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⣿⡟⣶⡈⠀⠀⠀⠀⠀⢀⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡄⠀⠀⣄⡎⠀⠀⠀⠙⡟⢾⣮⠀⠀ ⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⡧⠁⠀⠀⠀⢀⠀⢸⣼⣿⣿⣿⣷⣾⣿⣿⣿⣿⣿⡟⠁⠀⢡⢮⠀⣄⡀⠀⣡⣾⣮⡝⠀⠀ ⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡰⣠⢀⣽⣿⡄⣀⡄⡂⠉⠀⠉⠛⢿⣿⣿⣿⣿⣿⣿⠯⠛⠋⠀⠀⠐⢸⢾⣿⣿⣿⡤⠘⠿⣏⢐⠄⠀ ⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠶⢵⣾⣿⡟⠁⠀⠈⠻⣆⠰⢲⢄⡀⠉⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠠⡇⡐⠀⠸⠅⣼⠎⠈⠈⠀⠀ ⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⣌⣀⣼⣿⡿⡁⠀⠀⠀⠀⠈⠙⠸⣿⣽⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠂⣂⠁⠀⠁⠀⠀⡯⣄⣠⠀⠀⠀ ⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠀⢙⣿⣝⡅⠀⠀⠀⠀⠀⠀⠀⢠⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠰⣰⣿⣿⣶⣵⣄ ⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠆⢸⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢸⣼⣿⣿⣿⣿⣿⣿

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

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( ͜ₒ ㅅ ͜ ₒ)👙
⠀⠀⠀⣠⡦⡀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⠀⠀ ⠀⠀⠀⣿⢳⣬⣶⣶⣶⣶⣶⣶⣤⣴⠋⣭⣧⠀ ⠀⠀⠀⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣭⠿⡄ ⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣞⠀ ⠀⢀⣿⣿⣿⣽⣽⣼⣿⣿⣿⣿⣩⣽⣿⣿⣿⡄ ⠀⢸⣿⣿⡟⠃⣴⣿⠁⠀⠐⣿⣶⠈⣿⣿⣿⡇ ⠀⢸⣿⣿⣷⠀⠈⠋⠀⠀⠀⠙⠋⠈⣻⣿⣿⡇ ⠀⢸⣿⡿⠿⠧⡀⠀⠀⠀⠀⠀⢀⣴⣿⣿⣿⠇ ⠀⣾⣿⣿⡀⠀⠈⢑⡖⠂⠀⢔⠊⣹⣿⣿⣿⠀ ⢰⣿⣿⣿⣿⡞⠿⣥⣄⣀⣀⣀⣹⣿⣿⣿⣿⠀ ⢻⣿⣿⣿⣿⣿⣆⠀⠈⠀⠒⣠⣾⣿⣿⣿⣿⡇ ⣼⣿⣿⣿⣿⣿⣏⠂⠀⠀⢸⢻⣿⣿⣿⣿⣿⣿ ⢿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠈⢸⣿⣿⣿⣿⡿⡇ ⣸⠛⢿⣿⣿⡯⠀⠀⠀⠀⠀⢸⣿⡿⠋⠁⠀⡇ ⠈⢱⡾⢿⡟⠁⠈⢦⠀⠀⠀⠘⢻⡧⠤⢴⠂⠁ ⠀⢸⠰⡟⠁⠀⢠⠀⠡⡀⠀⠀⠐⢃⠀⡸⠀⠀ ⠀⡌⢀⡇⠀⠀⠀⠓⠄⠘⠄⠀⠐⠈⡀⡇⠀⠀ ⠀⡇⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢣⡇⠀⠀ ⠀⡇⠈⣲⠒⠀⠠⠤⠤⡤⠤⠤⠤⢠⠞⢱⠀⠀
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Warning: This item may contain sensitive themes such as nudity.

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⡽⣾⡿⣟⣯⡷⣟⣯⡷⢿⣯⢿⣷⣯⢾⣻⣽⡾⣻⣽⣾⣟⣿⣷⣽⣿⢿⣻⣷⣟⣯⡽⢿⣯⣟⣯⣳⢾⣻⣽⢿⣯⡽⢿⣯⡽⣻⣽⢿⣧⣛⢦⣙⢧⢋⣥⠞⣣⡜⢮ ⣳⣽⢾⣻⣽⣾⡿⣟⣯⡽⢿⣯⣳⣾⣟⣿⣳⣽⢿⣻⣿⢿⣿⣿⣿⣿⣿⣿⣿⡿⢿⣿⡿⢿⣻⣽⣾⣟⢯⣽⡿⢯⣽⡿⢯⣽⡾⣛⡽⢦⡙⢦⡌⠳⢌⡱⡜⢣⡔⢎ ⣯⡶⣟⢯⣳⣟⢯⣻⢷⣻⢷⣻⣷⣞⣻⣿⣿⣿⣿⣽⣾⣿⣞⣽⡾⣽⢿⣯⡽⣻⢷⣻⣷⣞⣻⣷⣿⢿⣯⡽⢿⣯⡽⢿⣯⡷⣞⢷⡩⢦⡑⢢⢌⠱⣊⡑⡔⢊⡱⢌ ⣟⣮⣝⡾⢯⣹⢾⡽⣽⡽⣾⡽⣻⣷⣟⣿⣽⣻⢷⣯⣞⢻⣷⣟⣯⣞⡽⢿⣯⡽⣾⡽⣻⣷⣟⣯⡷⣞⣿⡽⢿⣯⡷⢯⣳⣽⣟⢫⢱⢡⡠⠔⢂⠡⢂⡐⡌⠍⡂⠄ ⢯⣳⢯⣱⢿⣖⡿⣏⡷⣏⢷⣯⡽⣯⡿⣽⡾⡽⣻⢷⣟⣣⣽⡾⢟⣯⣞⡽⢿⣣⣾⣝⡻⣶⡽⣫⣾⣟⣳⣿⡿⣞⡽⣻⣯⡽⢯⡵⡘⠰⡈⠁⢂⠀⢁⠠⠄⠀⠡⢀ ⢼⣻⡼⣞⡹⣶⠽⣯⡵⣻⡷⢯⡶⢯⣿⣻⢶⣽⡞⣹⡶⣛⢭⣮⡹⢶⣟⣎⡽⣳⢷⣎⡹⣶⡞⢟⣧⣛⣼⡿⣿⢿⣧⡞⢷⡯⣜⡿⡌⠱⠀⠀⠀⡀⠀⠀⢀⡀⠀⠀ ⣭⠶⣏⢮⣛⣧⡟⢣⣼⡻⢽⣳⣯⣟⣿⡟⣧⣜⠷⣎⣏⠦⣙⢧⣌⡾⢏⣦⡝⣲⡼⣛⡴⣛⢦⣙⢶⡹⣶⣝⡿⣽⣻⣞⣳⣝⡷⢣⣿⠹⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣛⣥⢖⢮⣙⢼⡻⢧⣛⢧⡳⣭⠾⣿⣻⢵⣺⡝⢣⢦⢋⣤⡙⢣⣌⠜⢫⣥⡚⢧⣎⠱⣱⠶⣎⡓⢬⣛⣧⣜⡿⣽⠿⣏⣣⡽⣳⣜⣿⣿⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⡱⣳⣎⣓⠷⣍⡳⢧⡱⣼⡻⢮⣟⣽⣿⣫⠵⣊⡱⢎⠆⣉⠔⠪⢆⡌⠒⢣⡐⢦⡑⣩⡬⡙⢤⠼⢎⡱⢻⣧⣟⣾⠽⣫⣵⡞⢫⣵⡞⣯⢿⠑⠀⠀⠀⠀⠀⠀⠀⠀ ⣱⠶⣙⢦⡹⡱⢳⣧⡎⣜⠿⣏⣾⣹⣷⠾⢩⢦⡘⠑⢆⠈⠱⢁⢢⡑⢌⠠⡷⣭⣯⣟⢎⡑⣣⠔⣋⢧⡎⢳⣿⢷⣎⠞⣹⡷⢎⣹⡷⢎⣷⣻⠣⠀⠀⠀⠀⠀⠀⠀ ⣊⡴⡛⢦⡜⡹⢲⢮⣓⢧⢫⣿⣼⡛⣧⣿⢛⢥⡈⠰⠌⠁⠠⡐⠌⠂⠄⣲⣥⣟⢷⡿⣟⣩⠯⣚⠿⢣⣱⣿⣺⡵⢞⣭⡞⡱⣞⡱⢻⣥⣛⣮⢿⠘⠀⠀⠀⠀⠀⠀ ⡜⣍⠲⣥⡜⡛⢦⣙⢮⢣⣿⢷⣌⠳⣬⣿⠾⢊⡄⠉⠄⠂⡀⠄⠀⠠⢀⠟⣼⠳⢩⣶⣿⢻⣳⢇⢣⣱⡿⣶⡞⣍⠶⣎⡝⣫⡜⣸⠷⣩⠶⣚⣗⡜⠈⠀⠀⠀⠀⠀ ⡜⡙⢦⣙⡜⠲⣬⠞⣋⣿⣼⠹⣣⠵⢎⣮⢿⢩⢠⠐⠀⠀⠀⠀⠀⠋⡿⣼⡖⢃⡱⢦⣟⣿⣯⣹⡴⡟⣻⣥⠶⣋⢦⣜⠞⢣⡴⣛⢬⡳⣎⡝⢎⡱⢞⠈⠀⠀⠀⠀ ⡜⡙⢦⡘⡵⢎⣍⠟⣿⢧⣜⡛⢥⡺⢗⣏⣧⣻⢝⠢⠀⠀⠂⠖⡤⣞⣤⡒⢍⢣⡠⢜⡫⣷⣞⣻⣟⣿⠏⣩⡴⢛⣥⡞⢏⣡⡼⠞⣍⠳⢦⡙⢦⣙⠶⢌⠱⠈⠀⠀ ⡜⠎⣡⡜⡱⢏⡿⣽⢻⣿⡟⢻⣿⡟⢻⣻⣜⣿⣷⢽⠈⠀⠀⠀⠀⠂⣁⠤⠘⠣⣄⠆⢃⣧⣾⣟⣿⡿⣟⣿⣿⠿⣻⠿⢛⣻⡟⢏⣙⡹⢦⡘⣲⠞⢣⣌⠳⢌⠁⠀ ⢛⣛⢷⡾⣾⣬⣳⣥⣦⣋⣤⡱⢬⢳⣣⣄⣵⣿⣷⣿⠼⠀⠀⠀⠀⠀⡀⠔⡈⠡⡀⢐⠢⣑⣿⣞⣻⣀⣐⢠⠠⣀⠈⢀⠠⢀⡠⣀⣀⣄⣤⣦⢶⢳⢻⣙⠲⣌⠳⠈ ⣴⢚⣩⠖⢊⣑⠲⣉⠴⢋⣄⠪⣑⠢⢘⣡⠬⡙⢤⣿⣿⠀⠀⠀⠀⠀⠀⠡⢂⠀⠀⡀⠆⡁⡷⣼⣿⠘⠂⠀⡐⠄⠀⢈⠂⢀⠄⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⢶⠷⡙ ⢎⠆⡈⠱⢌⠣⡄⠐⡨⠒⢃⢄⠣⢄⡘⢢⠜⠣⣆⡏⣿⠐⠀⠀⠀⠀⠀⠀⠠⠀⠀⠀⠂⢁⡦⣿⣏⣹⠀⠄⠀⡐⠀⠐⠄⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣄ ⠄⢂⡐⠐⠢⢁⡠⠌⡄⠂⢈⠤⢂⡐⠆⢂⡄⠐⢿⣏⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⠀⡰⣿⢾⣿⡀⠂⡀⠁⠠⠄⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢂⡀⠐⢁⠠⠌⠂⣁⠄⠂⢁⢂⡁⢀⠰⣃⠄⢃⣿⣞⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠐⣯⣽⣿⠠⢈⠠⠂⠀⠠⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⡀⠀⢀⠠⡈⠐⠡⡀⠠⡐⠌⠂⡁⠠⡐⣿⢚⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣹⣿⠸⢁⠠⠁⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⡐⠄⠂⠁⢀⠠⡘⠀⣿⢹⠀⠀⠩⠁⠀⠀⠀⠀⠁⠀⠇⠀⠀⠀⣗⢺⣿⠰⠂⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠄⠂⡀⡐⠌⠂⣧⢿⠈⠀⠳⡀⠸⠀⠃⠀⡇⠀⠃⠀⠀⠀⡷⢎⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢂⠄⠃⢀⡇⣿⣻⠙⠀⠀⢸⠀⡎⠀⡆⠀⡄⠸⠀⠀⢿⡇⣿⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⠁⠠⢆⡆⣿⣍⣶⠻⠙⠈⣄⠑⡆⠀⠀⠘⠀⠀⣿⡧⣼⢿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⢄⠀⡀⣦⠹⠀⣀⣦⢿⠙⡀⠤⠐⠀⠀⡏⣾⣿⣸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣄⢷⠈⢀⠀⣆⣿⠬⠒⠒⡗⣿⣿⣿⠠⣿⠘⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⢄⠐⠀⠀⡀⣷⢿⠤⠤⣯⣾⢀⠏⢠⢷⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⠓⠀⠀⣄⢿⠟⣼⢃⡟⢠⠀⡇⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⣷⢬⠦⡛⣯⢿⡼⣿⠈⠀⡇⢼⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⣷⠈⠀⣀⣧⣷⣾⢸⠀⡇⣼⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡆⢻⡆⠘⡧⡇⣿⠀⠀⡿⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣧⠈⢰⣼⡶⡘⠀⠃⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⢠⠀⢸⠃⢠⠀⡿⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠇⠀⠀⠀⠀⠀⠀⠀⡄⠀⠀⢀⢀⠀⠇⣿⢰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡿⣿⣾⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡟⣿⣿⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠟⣿⣿⣿⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⣰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠟⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

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⠀⠀⠁⡿⣒⠒⠒⠒⠒⠒⠒⠙⣉⣌⠤⠶⣿⢾⡷⣭⣂⢒⠀⠀⠀⠀⠀⠀⠀⠂⣒⣖⣿⣿⠻⣟⠀⠀ ⠀⠀⡏⠉⠒⠔⠤⠤⠤⠒⠒⠒⠁⣉⣄⢯⣿⣴⣠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⣆⣿⠠⠀ ⠀⠃⣴⠀⠀⠉⠉⠉⠉⠉⠉⠀⠀⠀⡀⣿⢹⠋⠔⠤⣀⡀⢀⠀⠀⠀⠀⠀⡀⡀⢄⠤⠂⠓⠉⡀⢸⠀ ⠀⡎⠤⡀⢀⠀⠀⠀⠀⠀⠀⣀⣀⠤⠢⣿⣼⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⣄⢸⠀ ⠇⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⣾⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢧⠀ ⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡆⢿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀ ⣼⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀ ⢸⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠛⢿⣠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀ ⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡏⣴⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀ ⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠃⣸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠉⡟⠉ ⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⡿⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⡽⣿⣼⢀ ⣿⠘⠀⠀⠀⠀⠀⠀⠋⠟⣿⣰⢿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠉⠟⣿⣿⣿⣸⠀ ⣆⢻⠉⠉⠋⠛⠟⣿⣿⣷⣿⡆⣿⢿⠳⠙⠉⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠛⠟⡿⣷⣿⣿⡿⣿⣿⢸⠀ ⠀⡀⣧⣿⣿⣿⣿⣿⣿⣿⣷⠸⣷⣽⣿⢿⣭⣿⣯⣿⣿⣿⣿⣿⣯⣿⣿⣿⣿⣿⣿⣿⣾⡇⣿⣿⣿⠀ ⠀⠀⠀⣄⣿⣿⣿⣿⣿⣿⣿⢿⡘⣷⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣿⣯⡿⡿⣿⢻⣿⣿⣿⣟⢸ ⠀⠀⠀⠀⡀⣦⣷⣿⣯⣿⣯⣿⣿⢻⣅⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⡷⣿⣿⡿⣯⣿⣿⣮⣿⣿⣿⣿⢠ ⠀⠀⠀⠀⠀⠀⠀⣄⣦⣿⣿⣿⣿⣷⢻⢛⣬⣾⣿⣿⣿⣷⣿⣿⣿⡷⣿⣿⣿⣯⣿⣿⣫⣯⡾⣠⣿⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⣄⣦⣷⣟⣯⢿⡿⢿⣿⣿⣿⣿⣿⣿⡿⡿⣯⣟⣟⣯⣿⣾⣥⢛⡿⣹⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣄⣷⣿⣿⣿⣿⣿⣿⣿⣿⣾⠶⢶⡲⢶⣤⣠⢁⠋⣿⣿⣿⢠⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⣽⣧⣿⣿⣿⣿⣿⣿⣾⢤⠶⠴⠤⠶⡶⣷⣿⣿⣿⣿⢠⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣦⢳⣿⣿⣿⣿⣤⠤⠤⡤⣴⣤⣤⣀⣁⠋⡖⣤⣇⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡞⢠⠀⠀⠀⣀⣧⣴⠤⠤⠤⠤⠤⠤⠠⣀⣀⠀⠀⠀⡇⠘⠀

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