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⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⡿⠛⠿⠷⠶⠶⢶⡶⠶⠖⠒⠒⣟⠛⠛⠛⠉⠉⠉⠹⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⢶⣍⣻⡾⣭⣤⣀⠀⢀⡼⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⡼⠀⠀⠀⠀⠀⠈⠻⣦⡀ ⠀⠀⠘⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⡊⠷⣤⣿⣩⠾⣿⣿⢉⠴⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⡇⠀⠀⠀⠀⣰⠁⠀⠀⠀⠀⠀⠀⠀⠈⠙⢧⣴⠀⠀⠀⠘⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣠⣤⡤⠤⠤⠤⠤⢤⣄⣀⠀⠀⠀⠀⢀⣞⡉⢛⣶⢋⣾⠟⣥⡾⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠇⠀⠀⠀⢰⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣧⡀⠀ ⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⢾⣿⣿⣿⢛⣧⠀⠀⠀⠀⠀⠰⡿⠿⠶⣤⣀⣾⡉⠛⡿⠁⢿⡇⣸⠏⠀⠀⠀⣀⣠⡤⠶⠖⢒⣏⡙⠓⠒⠤⣤⡀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⠴⠾⠀⢠⠀⢀⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠁⠀⠀⢻⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⠋⠵⣦⡤⢹⣏⠈⣁⡄⠀⠀⠐⠶⠶⠾⢶⣾⡆⣿⡉⠙⣻⠁⠀⣼⢷⠃⠀⣠⢶⣛⠉⠁⠀⠀⠀⠀⠙⣿⣶⣶⣀⣀⡻⠳⣄⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢀⡴⠋⠁⠀⠀⠀⣁⠴⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⢸⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡾⠁⠀⠘⠋⢀⣼⣯⣾⣿⡿⠯⠽⣯⣝⣖⢶⣿⡿⢳⣿⣉⣉⡏⣠⡄⠀⣿⣴⣻⣅⣼⠉⠀⠀⣀⣠⣤⡴⠶⡾⣿⣿⣟⣿⣟⢷⡌⢣⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢠⠏⠀⠀⠀⠀⣠⠞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠘⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⡇⢠⠀⠀⠀⣰⡿⠋⠁⠀⠀⠀⠀⠀⠀⠙⠻⣯⡿⢾⣏⣉⣉⡇⠻⣷⠀⣿⣾⢛⣿⢏⣤⡶⣾⣉⣿⠿⠷⠾⠿⠿⣯⣿⣿⠋⠛⣧⠘⣇⠀⠀ ⠀⠀⠀⠀⠀⠀⢠⡟⠀ ⠀⣠⠞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⡀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣶⣛⣿⣀⢀⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣾⣿⣉⣉⣧⠀⠁⠀⢿⡇⣹⡿⢿⣽⠟⠋⠁⠀⠀⠀⠀⠀⠀⠈⢻⣿⡇⣠⣿⣦⣿⠀⠀ ⠀⠀⠀⠀⠀⣰⠟⠀⠀⣠⠞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢷⣀ ⠀⢃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡉⣻⣴⣿⡿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣏⣩⣽⣄⡀⢠⣜⣿⣛⣷⡋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⠟⣿⠀⠀ ⠀⠀⠀⠀⣰⠏⠀⣠⠞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⡀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣶⣟⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡠⢞⣉⣿⣯⣧⣿⣿⣿⡟⠹⣿⣶⣿⣦⣀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡿⠋⠙⠻⠏⢸⡇⠀⠀ ⠀⠀⠀⡴⠃⢀⠞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢧⠀⢸⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣷⣹⡝⣿⣿⡟⠛⢳⣦⣀⣀⣀⣀⣠⣤⢴⣚⠉⢀⣿⢿⡋⢿⣿⡿⢿⣿⣿⣷⣬⣿⠻⢿⣯⣟⣶⣤⣤⣀⣀⣠⣶⣿⠀⠀⠀⠀⢀⡞⠀⠀⠀ ⢀⣴⣞⡁⡰⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⡆⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣿⣿⡀⠀⢀⣼⣿⣿⣿⡟⠿⣿⣶⣾⣥⠀⠈⠛⣻⣷⣟⡿⢷⡞⢻⣿⡿⠍⠛⠀⠀⠀⠉⠉⢹⣿⠩⣍⣿⣿⣿⡇⠀⢀⡴⠋⠀⠀⠀⠀ ⠻⣄⠉⠀⢣⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⠀⢱⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⢿⡷⢤⣜⡧⠿⢿⡿⠿⣯⣹⣶⣿⣥⣤⢴⣿⡿⠟⠁⠀⠀⠉⠻⣍⣿⠲⣤⣀⠀⠀⠀⠀⣀⣶⣾⣿⣻⠿⢿⣥⣴⡯⣤⣄⣀⣀⣠⢤ ⠀⠈⢣⡀⠘⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡾⢴⡄⠉⠓⠤⣄⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠻⢯⣹⣟⣛⣷⣺⣿⣟⣿⣯⠽⠟⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠷⣬⣟⣳⣶⣴⣶⣶⣾⠿⠿⢿⣿⣿⣿⣿⣿⣿⡷⠶⠚⠁ ⠀⠀⠀⠙⣄⣩⡶⠦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠳⠶⠶⠒⠒⠶⠤⠭⠝⠓⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ░▒▓███▓▒░ ░▒▓███████▓▒░░▒▓████████▓▒░▒▓██████████████▓▒░░▒▓███████▓▒░ ░▒▓██████▓▒░ ░▒▓███████▓▒░ ░▒▓███▓▒░ ░▒▓█▓▒░ ░▒▓█▓▒░░▒▓█▓▒░▒▓█▓▒░ ░▒▓█▓▒░░▒▓█▓▒░░▒▓█▓▒░▒▓█▓▒░░▒▓█▓▒░▒▓█▓▒░░▒▓█▓▒░▒▓█▓▒░ ░▒▓█▓▒░ ░▒▓█▓▒░ ░▒▓█▓▒░░▒▓█▓▒░▒▓█▓▒░ 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