Perf Emojis & Text

Copy & Paste Perf Emojis & Symbols ⋆˙⟡⋆⭒˚.⋆

⠀⠀⣴⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣦⠀⠀ ⠀⠀⣇⠳⣄⣀⣀⣀⣀⣀⣀⣀⣀⣠⠞⢸⠀⠀ ⠀⣠⡿⣄⠘⢯⡉⠉⠉⠉⠉⢉⡽⠋⣠⢿⣄⠀ ⣼⠋⣴⣾⣷⢤⡙⢦⡀⢀⡴⢋⡤⣾⣷⣦⠙⣧ ⡇⢸⡹⣿⣿⣶⣿⣷⣷⣾⣶⣿⣶⣿⣿⡏⡇⢸ ⢻⡀⠳⣝⣛⣻⠟⢯⠀⡇⡽⠻⣟⣛⣫⠞⢁⡾ ⠀⠙⠶⢤⣤⡤⢶⣯⡳⣟⣽⡶⢤⣤⡤⠶⠋⠀ ⠀⠀⠀⠀⠀⠀⠀⠈⠛⠛⠁⠀⠀⠀⠀⠀⠀⠀
⋆˙⟡⋆⭒˚.⋆

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⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠖⠉⠙⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡼⠃⠀⠀⠀⢸⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⠴⠚⠛⠛⠋⠙⠛⠛⠓⠲⠤⣄⣀⣤⠴⠛⠁⠀⠀⠀⠀⠀⢸⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢰⡟⠛⠻⢦⣀⠀⠀⠀⠀⠀⠀⠀⣀⡴⠞⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣄⣀⣼⣀⡴⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢸⡃⠀⠀⠀⠈⠙⠲⠶⠶⠤⠴⠞⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣄⡀⣼⠏⠁⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣀⠘⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣤⣀⠀⠀⠀⠀⠀⠀⠀⠙⣎⣹⠛⠒⠋⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠉⠳⣼⣦⣄⣄⠀⠀⠀⠀⠀⠀⠀⣠⡴⠖⠶⢤⡀⠀⠀⠀⠀⠀⢠⠞⠋⠀⠀⠈⠙⢶⣄⠀⠀⠀⠀⠀⠘⢧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢤⣀⠀⠘⢻⣀⣄⠀⠀⠀⠀⣠⠞⠁⠀⠀⠀⠀⠙⢦⡀⠀⠀⢰⡏⠀⠀⠀⡀⠀⠀⠀⠙⣦⠀⠀⠀⠀⠀⠘⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠉⠉⠉⠉⠙⢶⣀⠀⠀⣴⠋⠀⣀⣴⣤⣄⡀⠀⠘⡇⠀⠀⣿⡃⠀⣤⣾⣿⣿⣿⣦⡀⠘⣧⠀⠀⠀⠀⠀⢹⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠈⢻⢂⠏⠀⣼⣿⡿⠛⢿⣿⣦⠄⢻⠀⠀⢻⡇⢰⣿⣿⠠⢤⣹⣿⡆⠀⢹⡀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣿⢸⠀⠀⢿⣿⣶⣓⣾⣿⡟⠀⣾⠗⠚⠻⣧⠀⠻⣿⣿⣾⣿⠟⠀⠀⢸⡇⠀⠀⠀⢀⣼⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣿⢸⡀⠀⠈⠛⠿⠿⠟⠋⠀⢰⡇⠀⠀⠀⠘⢧⡀⠀⠀⠁⠀⠀⠀⠀⣸⠀⠀⠀⠀⠐⢿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠿⣄⣧⠀⠀⠀⠀⠀⠀⠀⢠⣯⣀⠀⠀⠀⢀⡼⢿⣦⡀⠀⠀⠀⠀⣰⠋⠀⠀⠀⠀⢠⣏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⡈⠷⣄⠀⠀⠀⣀⡴⠻⣄⣉⣳⡄⢠⣞⠵⠋⠀⠉⠓⠒⠒⠋⠁⠀⠀⠀⠀⠀⠀⠉⠳⣆⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠳⣄⠈⠙⠛⠉⠁⠀⠀⠀⠈⠉⠻⣾⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠳⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠀⠀⠀⠀⠀⠀⠀⣤⠴⠒⠒⠒⠤⣤⠀⠀⠀⠀⠀⠀⠈⠳⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢳⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠙⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠘⡇⠀⢀⡄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠀⠀⠀⠀⠘⣧⡀⠀⠀⠀⣸⢳⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠙⠦⠛⠁⣿⠀⢀⣴⡄⠀⠀⠀⠀⠀⠂⡇⠀⠀⠀⠀⣧⠀⠀⠀⠀⢸⣷⡄⠀⠀⠀⡟⠙⠦⣤⡴⠛⠀⠙⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠙⠓⠛⢽⡇⠀⢠⡟⠀⠀⠀⣇⠀⠀⠀⠀⠈⠳⣄⠀⠀⣼⠃⠙⠳⠦⠞⠃⠀⠀⣤⠀⠀⠀⠀⠹⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⡀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠉⠀⠀⠀⠀⢿⠀⠀⠀⠀⠀⠀⠈⣉⠉⠁⠀⠀⠀⣦⠀⠀⠀⠀⢸⣷⣀⠀⠀⣠⠟⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣷⠀⠀⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣆⠀⠀⠀⠀⠀⠀⠘⢦⡀⠀⠀⠀⡼⠳⣄⡀⠀⣸⠁⠉⠙⠒⠉⠀⠈⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⡄⠀⠘⣧⣀⣼⠟⣆⠀⠀⣰⡄⠀⠀⠀⠀⠹⣆⠀⠀⠀⠀⠀⠀⠈⠛⢦⣤⣴⠇⠀⠈⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠙⣆⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⡀⠀⠀⠉⠀⠀⠘⠧⠞⠻⣧⠀⢀⡿⠀⠀⠙⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠛⠋⠀⠀⠀⠀⠘⢦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣷⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢳⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠳⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠿⡆⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢳⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠳⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡼⠀⣷⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣽⣆⠀⠀⠀⠀⢠⡄⠀⢸⡿⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⢦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⠃⠀⢻⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠴⠛⠁⠀⢘⢧⡀⠀⠀⠀⠹⠶⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⢦⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠞⠁⠀⠀⢸⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠞⠁⢀⣠⣤⡾⠟⠁⠙⣦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠲⠶⠦⠤⠤⠶⠖⠋⠁⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣿⡤⠖⠉⡴⠋⢀⡴⠖⠋⠉⠉⠳⢦⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⡿⠋⠀⠀⣼⣅⡴⠋⠀⣀⡤⠖⠒⠀⠙⠛⠓⢦⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠋⠀⠀⠀⢰⣷⠋⠀⣠⠞⠁⠀⠀⢀⡀⠀⠀⠀⠀⠀⠉⠓⠦⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣦⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⠁⣠⡞⠁⣀⡤⣶⠟⠋⠁⢀⣠⣤⣤⣀⠀⠀⠀⠈⣏⠙⠛⠲⢤⣤⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢧⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⡴⠋⢉⣼⠃⣀⡴⠊⠉⠁⠀⠀⠉⠙⠶⣄⡤⠾⡆⠀⠀⠀⠀⠉⠉⠓⠲⡄⠀⠀⠀⢰⡀⠀⠀⢠⠀⠀⠀⠀⠀⠀⠀⠀⠈⣇⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⡟⠉⠀⠀⡼⣷⡞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⣦⣇⠀⠀⠀⠀⠀⠀⠀⠀⢹⡆⠀⠀⠈⢷⡀⠀⠈⢧⠀⠀⠀⠀⠀⠀⠀⠀⠸⡆⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⢰⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⢳⡄⠀⠀⠈⢻⡀⠀⠈⢷⡀⠀⠀⠀⠀⠀⠀⠀⢸⡄⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⡄⠀⠀⠀⠻⣄⠀⠀⠻⣄⠀⠀⠀⠀⠀⠀⠀⢇⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢦⠀⠀⠀⠈⢧⡀⠀⠙⢦⡀⠀⠀⠀⠀⠀⢸⡄ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠳⣄⠀⠀⠀⠱⣄⠀⠀⠙⢦⡀⠀⠀⠀⠀⡇ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠳⣄⠀⠀⠈⠳⣄⠀⠀⠙⢦⡀⠀⠀⢰ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠓⣤⡀⠀⠈⠙⢦⡀⠀⠙⠣⣄⢸ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠳⢤⣀⠀⠈⠙⠦⣄⡀⠹ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠒⠦⢄⣀⣉⣙
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣄⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⣶⣾⣿⣿⣿⣿⣿⣶⡆⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⡏⢤⡎⣿⣿⢡⣶⢹⣧⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣶⣶⣇⣸⣷⣶⣾⣿⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢨⣿⣿⣿⢟⣿⣿⣿⣿⣿⣧⡀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⡏⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⣜⠿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⣷⣿⡿⣷⣮⣙⠿⣿⣿⣿⣿⣿⡄⠀ ⠀⠀⠠⢄⣀⡀⠀⠀⠀⠀⠀⠈⠫⡯⢿⣿⣿⣿⣶⣯⣿⣻⣿⣿⠀ ⠀⠀⠤⢆⠆⠈⠉⠳⠤⣄⡀⠀⠀⠀⠙⢻⣿⣿⠿⠿⠿⢻⣿⠙⠇ ⠠⠤⠀⣉⣁⣢⣄⣀⣀⣤⣿⠷⠦⠤⣠⡶⠿⣟⠀⠀⠀⠀⠻⡀⠀ ⠀⠀⠔⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠃⠃⠉⠉⠛⠛⠿⢷⡶⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣤⣶⣶⣶⣶⣦⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢦⣤⣤⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣦⣤⣤⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⠟⠁⢀⣈⠙⢿⣿⣿⣿⠟⠁⢀⣈⠙⢿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⠀⢻⣿⡿⠂⣸⣿⣿⣿⠀⢻⣿⡿⠀⣸⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣷⣤⣄⣤⣴⣿⠁⠀⣻⣷⣤⣄⣤⣴⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣧⢠⣿⣿⣿⣿⣿⣿⣿⣿⣝⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⠟⣭⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣻⣻⣿⣿⠇⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⡀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠿⢟⠿⢿⣿⡄⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡄⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡿⡿⢿⣿⣿⣷⡈⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣾⣷⣾⣿⣿⣷⣄⠙⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣮⣶⣭⣭⣛⣽⣿⣿⣦⣈⠙⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢷⣭⣯⣻⣝⣛⣿⣿⣿⣿⣶⣤⣉⠛⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠀⠀ ⠀⠀⠀⠀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⣛⣛⠿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣤⣉⡛⠿⣿⣿⣿⣿⣿⣿⣇⠀ ⠀⠀⠀⠀⠈⠙⠷⣶⣤⣄⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⡿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣯⣽⣿⣿⣿⣿⡄ ⠀⠀⠀⠀⠀⠰⣄⠀⣀⠉⠉⠛⠛⠷⠶⣦⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠻⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠙⢿⣧ ⠀⠀⠀⠘⠛⠓⢉⡄⡹⠆⠀⠀⠀⠀⠀⠉⠛⠿⢷⣶⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢻⣿⣿⣿⣿⡏⠛⠛⠛⠛⠛⠊⢿⣿⣿⠀⠀⠙ ⠀⠀⠀⠀⠀⠀⠉⠛⠋⠢⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⣷⣦⣄⣀⡀⠀⠀⢀⣀⣼⣿⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠈⢻⣿⡀⠀⠀ ⠈⠉⠙⠒⠲⠶⠶⢶⣶⣤⣬⣽⣶⣦⣤⣤⣤⣶⣶⣿⡿⠿⠿⠟⠛⠿⠿⠏⣴⣿⣿⠟⣛⣛⣋⣀⣀⡀⠀⠀⡀⠀⠀⠀⠀⠹⡇⠀⠀ ⠀⠀⠀⠀⢀⣠⠶⠛⠋⠉⠉⠁⠀⠈⠉⠉⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠈⢏⠈⡏⠈⠛⠛⠻⠿⢿⣿⣿⣿⣿⣿⣶⣦⣤⣤⠑⠀⠀ ⠀⠀⠀⠐⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠛⠻⠿⣿⡇⠀⠀⠀
⠀⠀⠀⠀⠀⠀⢀⣤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⢤⣤⣀⣀⡀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⡼⠋⠀⣀⠄⡂⠍⣀⣒⣒⠂⠀⠬⠤⠤⠬⠍⠉⠝⠲⣄⡀⠀⠀ ⠀⠀⠀⢀⡾⠁⠀⠊⢔⠕⠈⣀⣀⡀⠈⠆⠀⠀⠀⡍⠁⠀⠁⢂⠀⠈⣷⠀⠀ ⠀⠀⣠⣾⠥⠀⠀⣠⢠⣞⣿⣿⣿⣉⠳⣄⠀⠀⣀⣤⣶⣶⣶⡄⠀⠀⣘⢦⡀ ⢀⡞⡍⣠⠞⢋⡛⠶⠤⣤⠴⠚⠀⠈⠙⠁⠀⠀⢹⡏⠁⠀⣀⣠⠤⢤⡕⠱⣷ ⠘⡇⠇⣯⠤⢾⡙⠲⢤⣀⡀⠤⠀⢲⡖⣂⣀⠀⠀⢙⣶⣄⠈⠉⣸⡄⠠⣠⡿ ⠀⠹⣜⡪⠀⠈⢷⣦⣬⣏⠉⠛⠲⣮⣧⣁⣀⣀⠶⠞⢁⣀⣨⢶⢿⣧⠉⡼⠁ ⠀⠀⠈⢷⡀⠀⠀⠳⣌⡟⠻⠷⣶⣧⣀⣀⣹⣉⣉⣿⣉⣉⣇⣼⣾⣿⠀⡇⠀ ⠀⠀⠀⠈⢳⡄⠀⠀⠘⠳⣄⡀⡼⠈⠉⠛⡿⠿⠿⡿⠿⣿⢿⣿⣿⡇⠀⡇⠀ ⠀⠀⠀⠀⠀⠙⢦⣕⠠⣒⠌⡙⠓⠶⠤⣤⣧⣀⣸⣇⣴⣧⠾⠾⠋⠀⠀⡇⠀ ⠀⠀⠀⠀⠀⠀⠀⠈⠙⠶⣭⣒⠩⠖⢠⣤⠄⠀⠀⠀⠀⠀⠠⠔⠁⡰⠀⣧⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠲⢤⣀⣀⠉⠉⠀⠀⠀⠀⠀⠁⠀⣠⠏⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠛⠒⠲⠶⠤⠴⠒⠚⠁⠀⠀
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⢠⣴⣾⣿⣿⣶⣶⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣶⣶⣿⣿⣷⣦⡄ ⠀⠉⠻⣿⣿⣿⣿⡟⠛⠷⣦⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣴⠾⠛⢻⣿⣿⣿⣿⠟⠉⠀ ⠀⠀⠀⠈⢻⣿⣿⣿⠀⠀⠈⠙⠳⢦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡴⠞⠋⠁⠀⠀⣿⣿⣿⡟⠁⠀⠀⠀ ⠀⠀⠀⠀⠀⢻⣿⣿⡄⠀⠀⠀⠀⠀⠈⠑⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠊⠁⠀⠀⠀⠀⠀⢠⣿⣿⡟⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⡀⢹⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠄⠀⠀⠀⠀⠀⠀⠀⢸⣿⡏⢀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠘⢷⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⢶⣤⣄⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣠⣤⡶⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⡾⠃⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣌⣻⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠿⢿⣿⣿⣷⣶⣶⣶⣶⣶⣶⣾⣿⣿⣿⠿⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣟⡡⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢸⣿⣿⢿⣆⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠛⠿⣿⣿⣿⣿⠿⠛⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⣰⡿⣿⣿⡇⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⣾⣿⠏⠀⢻⣷⣿⣄⠀⠀⠀⠀⠠⣀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠙⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠄⠀⠀⠀⠀⣠⣿⣾⡟⠀⠹⣿⣷⡀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⣾⣿⠏⠀⠀⠀⠙⠿⣿⣷⣦⣄⡀⠀⠈⠑⢦⣬⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣥⡴⠊⠁⠀⢀⣠⣴⣾⣿⠿⠋⠀⠀⠀⠹⣿⣷⡀⠀⠀⠀⠀ ⠀⠀⠀⠀⣾⣿⠃⠀⠀⠀⠲⠶⠿⣿⣿⠿⠟⠛⠲⠄⠀⠐⠺⢿⣿⣶⣄⠀⠀⠀⠀⠀⠀⣠⣴⣿⡿⠗⠂⠀⠠⠖⠛⠻⠿⣿⣿⠿⠶⠖⠀⠀⠀⠘⣿⣷⠀⠀⠀⠀ ⠀⠀⠀⢰⣿⠃⠀⠀⣠⠂⠀⠠⠚⢉⣤⣶⣿⣿⣿⣿⣶⣄⡀⠀⠈⠙⠻⣿⣶⣶⣶⣶⣿⠿⠛⠁⠀⢀⣤⣶⣿⣿⣿⣿⣶⣤⡉⠓⠄⠀⠐⢄⠀⠀⠘⣿⡆⠀⠀⠀ ⠀⠀⠀⢸⠇⠀⢀⣾⠁⠀⠀⠀⠀⠻⣿⡿⠋⢡⣿⣿⠟⢿⣷⡄⠀⠀⣄⢀⠙⠿⡿⠋⡁⢠⠀⠀⢠⣾⣿⣿⡿⠻⡌⠙⢿⣿⠟⠀⠀⠀⠀⠈⢷⡄⠀⢸⡇⠀⠀⠀ ⠀⠀⠀⢸⠀⠀⣼⣷⠀⠀⠀⠀⠀⠀⠸⣇⠀⠸⣿⣿⣷⡾⠙⢿⡄⠀⠈⠳⣷⣤⣤⣾⡞⠁⠀⢠⡿⠉⢿⣿⣿⣾⠇⠀⣸⠇⠀⠀⠀⠀⠀⠀⣾⣷⠀⠀⡇⠀⠀⠀ ⠀⠀⠀⢸⠀⠀⣸⡟⠀⠀⠀⠀⠀⠀⠀⠹⣄⠀⠈⠉⠉⣀⣴⣿⡷⠀⠀⠀⠈⠛⠛⠁⠀⠀⠀⢿⣿⣦⣀⠉⠉⠁⠀⣰⠏⠀⠀⠀⠀⠀⠀⠀⢹⣇⠀⠀⡇⠀⠀⠀ ⠀⠀⠀⠸⠀⠀⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠈⠙⠛⠋⠩⠕⠛⠁⠀⠀⠀⠀⢠⣾⠻⡄⠀⠀⠀⠀⠈⠛⠪⠍⠛⠛⠋⠁⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⠀⠀⠇⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠘⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⠀⢿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⠋⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢸⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⡇⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠈⠘⢿⣿⣄⣄⠀⠀⠀⠀⠀⠠⠤⢤⣤⡀⠀⠀⠀⠀⠀⢸⣿⢰⡏⠀⠀⠀⠀⠀⢀⣤⡤⠤⠤⠀⠀⠀⠀⠀⢠⣄⣿⡿⠃⠁⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠿⠿⠿⠶⢄⡀⠀⠀⠐⠒⠒⠾⢿⣷⣄⠀⠀⠀⠈⣿⣿⠁⠀⠀⠀⣠⣾⡿⠷⠒⠒⠂⠀⠀⢀⡠⠶⠿⠿⠿⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣷⣄⠀⠀⢹⡏⠀⠀⣠⣾⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢷⣦⣄⣠⣴⡾⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠻⠿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⢸⣦⡀⠀⠀⠀⠀⢀⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢸⣏⠻⣶⣤⡶⢾⡿⠁⠀⢠⣄⡀⢀⣴⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠀⠀⠀ ⠀⠀⣀⣼⠷⠀⠀⠁⢀⣿⠃⠀⠀⢀⣿⣿⣿⣇⠀⠀⠀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠴⣾⣯⣅⣀⠀⠀⠀⠈⢻⣦⡀⠒⠻⠿⣿⡿⠿⠓⠂⠀⠀⢂⡇⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠉⢻⡇⣤⣾⣿⣷⣿⣿⣤⠀⠀⣿⠁⠀⠀⠀⢀⣴⣿⣿⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠸⣿⡿⠏⠀⢀⠀⠀⠿⣶⣤⣤⣤⣄⣀⣴⣿⡿⢻⣿⡆⠂⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠟⠁⠀⢀⣼⠀⠀⠀⠹⣿⣟⠿⠿⠿⡿⠋⠀⠘⣿⣇⠀⠄⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢳⣶⣶⣿⣿⣇⣀⠀⠀⠙⣿⣆⠀⠀⠀⠀⠀⠀⠛⠿⣿⣦⣤⣀⠀⠀ ⠀⠀⠀⠀⠀⠀⣹⣿⣿⣿⣿⠿⠋⠁⠀⣹⣿⠳⠀⠀⠀⠀⠀⠀⢀⣠⣽⣿⡿⠟⠃ ⠀⠀⠀⠈⠀⢰⠿⠛⠻⢿⡇⠀⠀⠀⣰⣿⠏⠀⠀⢀⠀⠀⠁⣾⣿⠟⠋⠁⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠋⠀⠀⣰⣿⣿⣾⣿⠿⢿⣷⣀⢀⣿⡇⠁⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠀⠀⠀⠋⠉⠁⠀⠀⠀⠀⠙⢿⣿⣿⠇⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀ 𐙚 -`♡´-˙✧˖°📷 ༘ ⋆。˚˙✧˖°📷 ༘ ⋆。˚˚˖𓍢ִ໋🌷͙֒✧˚.🎀༘⋆˚‧。⋆🌻⋆。‧˚⛷🧚‍♀️🛖
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⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣤⣤⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⣿⣿⡿⠿⣿⣷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⠋⢀⣠⣾⣿⣷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⡿⣡⣾⣿⣿⣿⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣰⣿⣷⠿⠟⠛⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⣠⣤⣶⣶⣦⣤⡀⢿⣿⡿⣿⣥⣤⣂⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⣠⣶⣿⣿⣿⠟⠛⠛⣻⣿⣿⣏⠁⠀⠹⣿⣿⣿⣷⣦⣄⠀⠀⠀⠀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠻⣿⣿⠟⠁⢀⣠⣾⣿⡿⣿⣿⣄⠀⠀⠉⠙⠛⠿⠿⠿⠟⠙⠹⠿⠿⠿⢿⣿⣿⣿⣶⣄⠀⠀⠀ ⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⡟⠀⣿⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⢿⣿⣿⣧⠀⠀ ⠀⠀⠀⠀⢻⣿⣿⣿⣿⠟⠁⠀⢸⣿⡿⠛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⡀⠀ ⠀⠀⠀⠀⠀⠉⠚⠋⠀⠀⢀⣠⣾⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣷⠀ ⠀⠀⢀⣠⣴⣶⣶⣶⣿⣿⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⡟⠋⠓ ⠀⣴⣿⠇⠉⠉⠛⠛⠙⠛⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠃⠀⠀ ⣴⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢻⣿⣿⣷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠳⡏⠋⠉⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣴⠚⡄⢫⠉⢩⠃⠀⣰⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⡄⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠠⡞⠳⡜⠦⠚⠘⠒⠋⠀⢰⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠈⠚⠁⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⢠⣾⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⢀⣾⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⣿⣿⣿⣿⣿⣤⣄⣀⡀⣠⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⢸⠉⠉⢰⠂ ⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⠟⠛⠙⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀⡇⠀⡰⠃⠀ ⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⠃⠀⠀⢰⡆⢻⣿⣿⣿⣿⣿⡿⠛⠛⠻⣿⣿⣿⣿⠀⠀⠀⠀⢰⠁⡰⠁⠀⠀ ⠀⠀⠀⠀⣶⣦⣤⠘⣿⣿⣆⠀⠀⢿⠇⣼⣿⣿⣿⣿⠛⢸⡇⠀⠀⠙⣿⣿⣿⣇⠀⠀⠀⠈⠒⠁⠀⠀⠀ ⠀⠀⠀⠀⢀⣀⣁⠀⠻⣿⣿⣷⣦⣤⣶⣿⣿⣿⣿⣇⡀⣾⠃⠀⠀⢠⣿⣿⣿⡇⠀⡔⠒⠲⡄⠀⠀⠀⠀ ⠀⠀⠀⠘⠛⠋⠉⠀⠀⠈⠻⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣤⣤⣴⣾⣿⣿⠟⠀⠀⠱⠤⣀⠇⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠻⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠟⠁⢀⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠉⠉⠉⠀⠀⣀⡀⠀⠉⠙⠓⠀⠀⠀⠀⠀⠀⠀ ⠀⡗⡤⡲⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢻⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣴⣫⢸⢷⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠈⠞⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⣄⣀⠀⠀⠀⠀⢀⣀⣀⣠⣤⣤⣄⣀⣀⠀⠀⠀⠀⠀⣀⣠⠀⠀⠀⠀ ⠀⠀⠀⠀⠉⠙⠻⢶⣶⡟⠛⠋⠉⠉⠉⠉⠉⠉⠙⠛⢷⣦⣶⠟⠋⠉⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣴⣿⣿⣿⣷⣄⠀⠀⠀⠀⠀⠀⢀⣴⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢰⣿⣿⠋⠁⠈⢻⣧⡀⠀⠀⠀⣴⡿⠉⠀⠙⢿⣿⡇⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠸⣿⣿⡀⠀⠀⢠⣿⣷⡄⢀⣾⣿⣇⠀⠀⠀⣸⣿⡇⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣴⢿⣿⣿⣶⣶⣿⣿⡿⣿⣾⠿⣿⣿⣷⣶⣾⣿⡿⣧⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣼⠏⠘⣿⠉⠛⠛⠋⠉⠀⠸⡏⠀⠈⠙⠛⠛⠉⣿⡇⠘⣧⠀⠀⠀⠀ ⠀⠀⠀⠀⣿⠀⠀⣿⡀⢠⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⡀⠀⣿⠁⠀⣿⠀⠀⠀⠀ ⠀⠀⠀⠀⣿⡀⠀⢹⡇⠸⣶⡤⠀⢠⡀⢀⡀⠀⢤⣴⡇⢰⡿⠀⢀⣿⠀⠀⠀⠀ ⠀⠀⠀⠀⠘⣷⡀⠈⣿⡀⠈⠀⠀⠀⠛⠛⠁⠀⠀⠁⠀⣾⠃⢀⣼⠇⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠘⢷⣄⠘⣷⡀⢀⡀⠀⡀⠀⠀⠀⡀⠀⣼⠏⣠⡾⠋⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠙⢷⣼⣷⡌⠻⠟⠁⠀⠻⠿⢃⣼⣯⡾⠛⠁⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⣿⠿⣶⣄⣀⣀⣠⣴⡟⢿⡍⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠏⢀⣿⠉⢹⡏⠉⢹⡇⠈⢿⡄⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠘⠋⠀⠈⠃⠀⠘⠃⠀⠈⠃⠀⠈⠛⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣤⣤⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⠋⠀⠀⠙⢿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣸⡇⠀⠀⠀⠀⠀⠙⢿⣦⡀⠀⠀⢀⣀⣀⣠⣤⣀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣿⠇⠀⠀⠀⠀⠀⠀⠀⠙⠿⠿⠟⠛⠛⠋⠉⠉⠛⣷⡄ ⠀⠀⠀⠀⠀⠀⠀⢠⣿⢀⣀⡤⣤⢤⡤⣤⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇ ⠀⠀⠀⠀⣀⣤⣶⠿⠛⠋⠁⠁⠀⠀⠀⠉⠛⣯⣳⡀⠀⠀⠀⠀⠀⠀⢠⡿⠃ ⠀⣠⣶⠿⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⡻⣿⠀⠀⠀⠀⠀⣠⡿⠃⠀ ⢸⡟⠁⠀⠀⠀⠀⠀⠀⠀⠀⡴⠋⠉⢹⡆⠀⠀⢸⣿⠀⠀⠀⠀⢠⡿⠁⠀⠀ ⢸⣧⡀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠈⠀⠀⢀⣮⠏⠀⠀⠀⠀⠘⣷⡀⠀⠀ ⠀⠙⠿⣶⣤⣀⠀⠀⠀⠀⠈⠻⢦⣤⣤⣤⡶⠟⠁⠀⠀⠀⠀⠀⠀⠘⣷⡄⠀ ⠀⠀⠀⠀⠉⠛⠿⣶⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⡄ ⠀⠀⠀⠀⠀⠀⠀⠘⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇ ⠀⠀⠀⠀⠀⠀⠀⠀⣿⡆⠀⠀⠀⠀⠀⠀⠀⣠⣶⣶⣦⣤⣤⣄⣀⣀⣤⡿⠃ ⠀⠀⠀⠀⠀⠀⠀⠀⢹⡇⠀⠀⠀⠀⠀⣠⣾⠏⠀⠀⠀⠈⠉⠉⠙⠛⠉⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣄⠀⠀⣠⣾⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠛⠛⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣰⡿⠿⠿⣷⣦⣠⣤⣾⠟⠛⠳⣦ ⡏⢀⢀⣠⣶⠟⣹⣿⠷⣦⡀⢀⢘⡇ ⢣⣤⣴⠿⠃⢀⡿⢿⡆⠈⠻⠿⠟⠁ ⠀⠀ ⠀⠀ ⣠⠃⠈⠳⡄ ⠀⠀ ⣰⡟⠁ ⠀⠀ ⣸ ⠀⠀⢰⡏ ⠀⠀⠀ ⢠⡟ ⠀⠀⠘⣇ ⠀⠀⠀ ⢸⡇ ⠀⠀ ⢿ ⠀⠀⠀⠀⠈⢷⡀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣤⣤⣀⡀⠀⠀⠀⢀⣠⣴⣾⡛⣛⠿⢭⡉⢉⣹⣿⡛⠶⣤⡀⠀⠀⠀⠀⠀⢀⣀⡀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⢀⠈⡉⠳⢦⠾⣯⣞⣉⠀⢙⣡⠤⣄⣨⠷⣄⣀⣸⠋⠙⣻⣷⣤⣤⠶⠟⠛⢹⣧⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⠐⢎⢷⡱⡄⠀⠀⠀⠀⠉⠛⢧⣄⡤⠶⢧⠤⣄⣩⠽⠟⠛⠉⠉⠉⣡⣶⠀⠀⣸⡇⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣇⠈⠉⠉⠈⠀⠀⠀⠀⠀⠀⠀⠈⢳⣄⢀⡴⠋⠁⠀⠀⠀⠀⠀⠀⠛⠟⠁⢠⡿⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠆⠀⠀⠀⣠⡖⡖⠶⢤⡀⠀⠀⠀⠹⠋⠀⠀⣠⠒⣟⠛⠲⢄⠀⠀⠀⣶⡟⠁⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⡏⠀⠀⠀⣼⣿⣧⣿⠀⠀⢹⡄⠀⠀⠀⠀⠀⣼⣿⣷⣿⠀⠀⠀⢳⠀⠀⠈⢧⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⡿⠀⠀⠀⠀⢻⣿⣿⠏⠀⠀⢸⠇⠀⠀⠀⠀⠀⢿⣿⣿⡟⠀⠀⢀⡾⠀⠀⠀⠘⣧⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⡇⠀⠀⠀⠀⠀⠛⠥⣤⡤⠔⠋⢀⣤⠶⠶⠶⠦⣌⠛⠿⠤⠤⠖⠋⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡇⠀⠀⠀⠀⣴⣾⣿⣿⣶⡄⠀⠀⢻⣆⠀⣠⡞⠁⠀⢀⣴⣾⣿⣿⡶⠀⠀⠀⠀⣿⠁⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⡇⠀⠀⠀⠀⠈⠛⠛⠛⠋⠁⠀⠀⠀⠹⣶⠋⠀⠀⠀⠀⠉⠙⠋⠉⠀⠀⠀⠀⢠⡿⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠇⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢳⣄⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣤⡶⠶⠶⠶⠶⣤⣀⡀⠀⠀⠀⠀⠀⣠⡾⠋⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠞⠋⠈⣻⡶⠶⠤⠤⠶⠾⠛⠉⠁⠀⠀⠀⠀⠀⠀⠀⠈⠉⠛⠛⠛⠛⠛⣿⡙⢦⡀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣠⡞⠁⠀⠀⣰⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣷⡀⠙⢦⡀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⣼⠋⠀⠀⠀⢰⡏⠀⠰⡄⠀⠀⠀⠀⢀⡄⠀⠀⠀⠀⠀⢀⣤⠀⠀⠀⠀⣰⣄⣀⣀⡤⠸⣇⠀⠈⢳⡄⠀⠀⠀ ⠀⠀⠀⠀⢠⡾⠁⠀⠀⠀⢀⣿⠀⠀⠀⠙⠲⠦⠶⠖⠋⠙⠦⠤⣤⠤⠖⠋⠈⠙⠓⠒⠋⠁⠈⠉⠁⠀⠀⣿⡄⠀⠀⠹⡄⠀⠀ ⠀⠀⠀⢠⡟⠁⠀⠀⠀⠀⣸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠀⢸⣧⣀⣠⣤⣿⡄⠀ ⠀⠀⣠⣿⠀⠀⣰⡆⠀⢀⣿⠁⠀⠀⠀⣧⠀⠀⠀⠀⠀⣄⠀⠀⠀⠀⠀⣰⡄⠀⠀⠀⣰⠧⠤⠤⠞⠁⠀⢸⡇⣧⠘⡇⢹⣿⡄ ⠀⢠⣟⡞⢹⠏⡟⣸⢛⡏⣿⠀⠀⠀⠀⠈⠓⠦⠤⠴⠊⠉⠲⠦⠤⠖⠚⠁⠈⠙⠛⠉⠁⠀⠀⠀⠀⠀⠀⢸⡇⠸⡄⢻⠈⣿⣷ ⢀⣿⡿⢀⡏⣼⢁⡏⣼⢡⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣧⠀⣇⠸⡆⢹⣿ ⣸⣿⠇⡼⢰⡇⣼⢠⡇⣸⢻⡇⠀⠀⠀⠀⢦⠀⠀⠀⠀⢀⡀⠀⠀⠀⠀⢠⡀⠀⠀⠀⣀⠜⠀⠀⠀⠀⢀⣿⠹⡆⢹⡄⣿⣾⡿ ⣿⣹⢠⠇⣾⢧⡇⢸⣇⡏⣼⣿⡀⠀⠀⠀⠈⠓⠶⠤⠖⠋⠙⠶⠤⠤⠖⠊⠉⠛⠛⠋⠁⠀⠀⠀⠀⠀⣼⠇⠳⢷⠾⠙⠋⠀⠀ ⣿⡏⣼⡼⣿⣸⢠⣿⣿⡿⠃⠘⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⠏⠀⠀⠀⠀⠀⠀⠀⠀ ⠙⠳⠋⠀⠙⠿⠋⠀⠉⠀⠀⠀⠈⠻⢦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡾⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢽⡓⡀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⠀⠀⠀⠀⠀⠀⣰⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠧⣷⡀⠀⡀⠀⢀⣤⡶⠞⠋⠙⣧⣄⣤⣀⣤⣶⣻⢦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡴⠿⣿⡿⠿⠿⣿⣷⡀⠀⠀⣼⣟⣺⣟⣻⣻⣿⣺⣯⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣾⣋⣛⣿⡿⠿⣿⣯⣭⣿⡇⠀⢸⣿⣶⠿⣿⣷⣾⠿⣿⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣷⣬⠟⣿⣿⣽⠏⢻⣿⡿⠁⠀⠈⠛⠁⠀⠙⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣋⣁⠀⢙⣛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⢠⣾⣼⢦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢸⣿⣿⡌⢢⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣄⡀ ⠀⠀⠀⠀⠀⠀⢸⣿⣾⣷⢀⠱⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡜⣿⣿⣷ ⠀⠀⠀⠀⠀⠀⠘⣿⣿⣜⡟⡇⢳⣀⣀⣀⣀⣀⡀⠀⠀⠀⠀⠀⣰⡟⣺⣿⣿⡟ ⠀⠀⠀⠀⠀⢀⣠⣼⣿⣿⣾⣷⡒⢿⣿⠿⠛⢛⣛⣛⡷⠶⡴⡾⢏⣵⡿⣿⡿⠁ ⠀⠀⠀⢀⣴⣟⣟⡿⣻⢿⣟⣱⡿⠆⣠⣒⡮⠉⡠⢤⣢⣨⡍⠈⢻⣭⣿⠟⠁⠀ ⠀⠀⢠⣿⣽⣿⡟⢀⣼⠛⢭⣻⣾⣦⡀⠁⠊⠑⠙⠒⠲⠜⣽⠒⠉⣿⣿⡄⠀⠀ ⠀⣰⣿⣿⡣⡋⢠⡿⠴⠞⣩⡞⢁⣤⣍⠳⣤⣴⡄⠀⠀⠁⢁⣗⠳⡿⢥⡇⠀⠀ ⢀⣿⡟⣼⡗⠀⣿⣅⠀⢘⣛⣇⠈⠻⠟⢀⣿⡇⠈⠒⠈⠁⢾⡿⠀⣿⡍⠃⠀⠀ ⢸⡟⣷⠛⠀⠀⠻⣦⢿⣭⣟⣯⡕⣒⣾⠽⠋⠁⠐⣾⡄⠀⠘⢤⡞⡳⠵⡇⠀⠀ ⢸⣿⡉⠀⠀⠈⣿⣿⣶⣬⣭⣎⠉⠁⠀⠀⠀⢀⣠⣿⣿⠀⠀⠀⣙⢟⢭⡇⠀⠀ ⡄⠋⠀⠀⠀⠀⠘⠁⠛⠻⢰⢤⡍⣁⠀⠸⢴⣿⣿⣿⡎⠆⠀⠦⠙⣹⣾⡀⠀⠀ ⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠛⠬⣫⢷⢄⠉⢛⠿⡟⠀⣀⣀⣼⡃⠈⡇⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⡶⣄⠀⠀⠈⠳⠳⣴⣶⠀⣤⣿⣷⣾⣯⡀⠍⣳⡄⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠿⠇⠀⠀⡑⢦⣄⡀⠈⣻⣶⠝⡭⡀⠈⣨⣩⠪⢃⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠲⢾⣿⡟⠁⢐⣷⣿⢅⢪⣎⠛⢻⣿⡤⢼⡀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠆⠉⠂⠀⠉⣛⡗⠋⠈⠱⠖⠊⡾⠶⠯⡇ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠒⠀⠓⠀⠀⠀⠤⡭⢋⣺⡇
⠰⢿⣿⡶⢤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡤⢶⣿⡿⠆ ⠀⠀⢻⣿⠀⠈⠓⠤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠚⠁⠀⣿⡟⠀⠀ ⠀⠀⠠⣻⡆⠀⠀⠀⠠⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⠄⠀⠀⠀⢰⣟⠄⠀⠀ ⠀⠀⠀⢼⣷⠀⠀⠀⠀⠀⠙⠛⠶⣶⣶⣶⣶⠶⠛⠋⠀⠀⠀⠀⠀⣾⡧⠀⠀⠀ ⠀⠀⢀⣾⠃⢳⣧⡀⠀⠠⡀⢀⠀⠀⠉⠉⠀⠀⡀⢀⠄⠀⢀⣼⡞⠘⣷⡀⠀⠀ ⠀⠀⡾⠃⠀⠲⡾⢿⣓⣢⡀⠻⢷⣄⡀⢀⣠⡾⠟⢀⣔⣚⡿⢷⠖⠀⠘⢷⠀⠀ ⠀⢠⠃⣰⠁⠀⠐⣿⢫⣿⣿⣆⠀⢈⡻⢟⣉⠀⣰⣿⣿⡝⣿⠂⠀⠈⣆⠘⡄⠀ ⠀⠀⠀⣽⠀⠀⠀⠘⣄⠙⣋⣼⠆⠈⢛⡛⠁⠰⣧⣙⠋⣠⠃⠀⠀⠀⣿⠀⠀⠀ ⠀⠀⠀⢻⡀⠀⠀⠀⠀⠀⠉⠀⠀⠀⣾⢱⠀⠀⠀⠉⠀⠀⠀⠀⠀⢀⡟⠀⠀⠀ ⠀⠀⠀⠈⠻⣆⡀⠀⠀⠀⢀⡀⠀⠀⢿⡸⠀⠀⢀⡀⠀⠀⠀⢀⣰⠟⠃⠀⠀⠀ ⠀⠀⠀⠀⠀⠉⠉⠂⠀⠀⠉⠛⢦⡀⠸⠇⢀⡴⠛⠉⠀⠀⠐⠉⠉⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠶⠶⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣤⣤⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⠀⠀⠀⢀⣴⠟⠉⠀⠀⠀⠈⠻⣦⡀⠀⠀⠀⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣷⣀⢀⣾⠿⠻⢶⣄⠀⠀⣠⣶⡿⠶⣄⣠⣾⣿⠗⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⢻⣿⣿⡿⣿⠿⣿⡿⢼⣿⣿⡿⣿⣎⡟⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⡟⠉⠛⢛⣛⡉⠀⠀⠙⠛⠻⠛⠑⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣧⣤⣴⠿⠿⣷⣤⡤⠴⠖⠳⣄⣀⣹⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣀⣟⠻⢦⣀⡀⠀⠀⠀⠀⣀⡈⠻⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⡿⠉⡇⠀⠀⠛⠛⠛⠋⠉⠉⠀⠀⠀⠹⢧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⡟⠀⢦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠃⠀⠈⠑⠪⠷⠤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣾⣿⣿⣿⣦⣼⠛⢦⣤⣄⡀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠑⠢⡀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢀⣠⠴⠲⠖⠛⠻⣿⡿⠛⠉⠉⠻⠷⣦⣽⠿⠿⠒⠚⠋⠉⠁⡞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢦⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⣾⠛⠁⠀⠀⠀⠀⠀⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠤⠒⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢣⠀⠀⠀ ⠀⠀⠀⠀⣰⡿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣑⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⡇⠀⠀ ⠀⠀⠀⣰⣿⣁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣧⣄⠀⠀⠀⠀⠀⠀⢳⡀⠀ ⠀⠀⠀⣿⡾⢿⣀⢀⣀⣦⣾⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡰⣫⣿⡿⠟⠻⠶⠀⠀⠀⠀⠀⢳⠀ ⠀⠀⢀⣿⣧⡾⣿⣿⣿⣿⣿⡷⣶⣤⡀⠀⠀⠀⠀⠀⠀⠀⢀⡴⢿⣿⣧⠀⡀⠀⢀⣀⣀⢒⣤⣶⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇ ⠀⠀⡾⠁⠙⣿⡈⠉⠙⣿⣿⣷⣬⡛⢿⣶⣶⣴⣶⣶⣶⣤⣤⠤⠾⣿⣿⣿⡿⠿⣿⠿⢿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇ ⠀⣸⠃⠀⠀⢸⠃⠀⠀⢸⣿⣿⣿⣿⣿⣿⣷⣾⣿⣿⠟⡉⠀⠀⠀⠈⠙⠛⠻⢿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇ ⠀⣿⠀⠀⢀⡏⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⠿⠿⠛⠛⠉⠁⠀⠀⠀⠀⠀⠉⠠⠿⠟⠻⠟⠋⠉⢿⣿⣦⡀⢰⡀⠀⠀⠀⠀⠀⠀⠁ ⢀⣿⡆⢀⡾⠀⠀⠀⠀⣾⠏⢿⣿⣿⣿⣯⣙⢷⡄⠀⠀⠀⠀⠀⢸⡄⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣿⣻⢿⣷⣀⣷⣄⠀⠀⠀⠀⢸⠀ ⢸⠃⠠⣼⠃⠀⠀⣠⣾⡟⠀⠈⢿⣿⡿⠿⣿⣿⡿⠿⠿⠿⠷⣄⠈⠿⠛⠻⠶⢶⣄⣀⣀⡠⠈⢛⡿⠃⠈⢿⣿⣿⡿⠀⠀⠀⠀⠀⡀ ⠟⠀⠀⢻⣶⣶⣾⣿⡟⠁⠀⠀⢸⣿⢅⠀⠈⣿⡇⠀⠀⠀⠀⠀⣷⠂⠀⠀⠀⠀⠐⠋⠉⠉⠀⢸⠁⠀⠀⠀⢻⣿⠛⠀⠀⠀⠀⢀⠇ ⠀⠀⠀⠀⠹⣿⣿⠋⠀⠀⠀⠀⢸⣧⠀⠰⡀⢸⣷⣤⣤⡄⠀⠀⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡆⠀⠀⠀⠀⡾⠀⠀⠀⠀⠀⠀⢼⡇ ⠀⠀⠀⠀⠀⠙⢻⠄⠀⠀⠀⠀⣿⠉⠀⠀⠈⠓⢯⡉⠉⠉⢱⣶⠏⠙⠛⠚⠁⠀⠀⠀⠀⠀⣼⠇⠀⠀⠀⢀⡇⠀⠀⠀⠀⠀⠀⠀⡇ ⠀⠀⠀⠀⠀⠀⠻⠄⠀⠀⠀⢀⣿⠀⢠⡄⠀⠀⠀⣁⠁⡀⠀⢠⠀⠀⠀⠀⠀⠀⠀⠀⢀⣐⡟⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⢠⡇
.  +⠀ ⠀ ⠀˚⠀ ⣴⠟⠉⠉⠛⢦⡀⢀⣴⠛⠉⠈⠙⠻⣄ ⠀⠀⣼⠃⠀⠀⠀⠀⠀⠙⠋⠀⠀⠀⠀⠀⠀⠹⣦ ⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿ ⠀⠀⠿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⡆ ⠀⠀⠀⢻⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡼⠃ ⠀⠀⠀⠀⠀⠻⢦⣄⠀⠀⠀⠀⠀⣠⡴⠛ ⠀⠀⠀⠀⠀⠀⠀⠉⠛⠶⣄⠶⠋ ⠀⠀⠀+. *
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣼⣄⢻⣆⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣷⣿⣿⣿⣿⢹⡗⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣇⠈⢷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⡿⡆⠀⠈⣧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣾⣿⣦⠀⡀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣏⣿⣿⣽⡀⠀⠘⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣸⣿⣿⣿⣿⣿⣄ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⣇⢲⡀⠈⢻⡦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⠇⣸⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⠷⢻⣿⣌⣿⡆⢸⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣴⡏⣵⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢿⣿⣿⣿⣧⡼⣹⡿⢸⣧⠀⠙⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣼⣾⡟⠉⣭⣿⣿⣭⣿⣿⣿⡇ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣿⣿⣿⣧⡟⣠⡼⢿⠆⠀⠘⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣗⣲⣦⣤⣤⣀⡀⠀⠀⠀⠀⢀⣠⣿⢹⠹⠁⢲⣿⣿⣿⣾⣿⣿⡿⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣴⣾⣿⣿⣿⣿⣼⣿⣧⣾⣷⠒⠶⢿⣭⣿⠿⠿⢶⣾⡻⠋⠾⠟⠙⠿⠗⠒⣻⣿⣿⣶⣶⡶⣾⣿⡿⡾⠈⣰⣴⡿⣿⣷⣿⣿⣿⡿⠁⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⡟⠛⢒⣤⡄⠉⠽⠶⠤⠄⠈⢉⣀⣐⣚⡛⠓⠒⠛⠻⠀⠀⢀⣿⣦⣭⡞⣤⣶⣾⣿⣿⠻⣦⣿⣿⣿⠟⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⡿⢛⣿⡿⢟⣿⡿⢿⣿⣿⣿⣿⠿⢰⢾⣿⣿⣾⠧⠤⢄⠴⠾⠿⣥⡤⠤⠀⢠⣄⣀⣀⠘⣷⡀⢣⣍⣉⠀⠀⠘⠻⣿⣄⣠⡟⢿⣿⣿⠏⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣠⣿⣿⣿⣶⣿⢏⣴⡾⠛⠑⣿⣟⣑⠿⣿⣶⣾⢷⡻⣏⠀⠀⠶⠛⢶⣶⠶⠶⣤⣀⠀⢞⣉⠈⠛⠒⠿⠷⠾⣶⣧⣀⠀⠀⢀⣬⣥⢙⣿⣿⣿⠁⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⣴⣿⢟⣡⣿⣿⠟⣿⠻⠋⠀⣠⣼⡿⢿⣯⣀⠙⢿⣷⡶⣿⣿⣦⠀⠀⠀⠁⢀⠾⠋⠙⠛⠉⠹⠤⠶⣿⣷⣦⡠⢬⣛⡿⢳⠖⠋⠁⢹⣾⣿⣿⣿⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢠⣾⣿⣿⣿⣿⠟⣿⣾⡿⢠⣤⣾⡿⠛⠦⣤⣀⠙⢷⣾⣿⣾⣾⣿⣿⣧⣤⡀⠀⠀⠀⠀⢸⠃⠀⠀⠀⠀⠀⠚⠋⠀⠴⣏⠳⡄⠀⣀⣤⠼⣛⡿⣿⣿⡄⠀⠀⠀⠀⠀ ⠀⠀⠀⢠⡾⢿⠉⣿⣿⠏⡰⠿⠋⠀⢠⣿⣟⠛⣲⣶⡶⠼⣉⠙⣶⡯⠋⠀⢀⣀⣈⡉⠛⢷⣦⣀⠀⠘⣧⡀⠀⠀⠀⠀⠐⠮⠁⠀⠉⢀⣰⡾⠷⣶⣿⡟⢛⣡⢸⡇⠀⠀⠀⠀⠀ ⠀⠀⢠⣿⣷⣾⣿⣿⣿⡼⠁⡶⠀⠀⣼⡿⠃⠒⠒⠒⠂⣠⣬⣿⡏⠀⠀⢠⣿⣭⣽⣿⡆⠀⢹⣿⣿⣷⠳⣵⠀⠀⠀⠀⢀⡀⠀⣀⣠⣾⢿⣦⠀⠹⣿⣗⣉⣿⢸⡇⠀⠀⠀⠀⠀ ⠀⠀⣼⣿⡟⡽⡟⣠⣿⢧⡜⠁⢨⣿⣿⣛⣀⣀⠀⢀⣸⡿⢚⣿⡇⠀⠀⠈⣿⣿⣿⣿⡏⠀⠀⢿⣿⣿⠀⠈⠛⢦⡴⠀⠘⠛⠋⠁⣼⣷⣾⣿⠀⠀⢿⡛⠒⠛⠈⡇⠀⠀⠀⠀⠀ ⠀⣰⣿⢿⣹⡇⢸⡏⣿⠸⠁⠀⠀⣿⣟⣓⠶⠦⠀⢀⣀⣀⢽⣞⣻⣆⠀⠀⠈⠙⠛⠋⠀⣀⣤⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⠿⠟⠀⠀⣾⢍⣻⡂⠀⡇⠀⠀⠀⠀⠀ ⠀⣿⣿⣸⣿⣧⣼⠀⣿⠀⠀⠀⠀⢿⣿⣧⡴⢖⣚⣭⠽⢷⣾⣯⡭⠙⠻⣶⣤⣀⣤⣶⠾⣋⣿⣿⠟⠁⠀⠲⠦⣴⣶⣦⠀⠀⠀⠀⠘⣇⡀⠀⣀⣼⢯⣄⡉⢉⣤⡇⠀⠀⠀⠀⠀ ⢠⣿⣿⡏⢸⡟⣿⠀⠀⠀⠀⠀⢀⠈⠻⣿⣶⡟⠉⣯⣤⣾⣻⡥⢶⣾⡼⠁⣀⣭⣤⣾⡿⠟⠋⠀⠀⠀⠀⠀⠀⢰⣿⣿⣇⠀⠀⠀⠀⠘⠛⢿⣿⠀⣩⡟⠧⡿⢸⡇⠀⠀⠀⠀⠀ ⢸⣿⣿⣿⡟⠀⠿⠀⠀⠀⠀⠀⠻⣷⣶⣾⣿⣡⣤⡞⠉⠛⠛⠟⣡⡴⠿⠛⠟⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⣿⣷⣿⡆⠀⠀⠀⠀⠀⠀⠹⣿⣯⣙⠲⠖⣼⡇⠀⠀⠀⠀⠀ ⢸⣿⣶⢿⡇⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣡⣾⣟⣶⠿⢧⣠⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣆⣀⣮⣿⣿⣹⣿⣇⠀⢠⠀⠀⠀⠰⣤⣌⢻⣌⡿⣶⣿⠇⠀⠀⠀⠀⠀ ⢸⠛⣯⠋⠟⠀⠀⠀⠀⠀⠀⠀⠀⠘⢫⣿⠛⢻⣿⣯⣴⣿⢚⠋⠁⠰⠶⠿⡶⡇⠀⠀⠀⢠⡄⢠⡄⣷⣿⣹⣿⣿⣿⣇⠘⢿⠀⠈⠃⢀⡀⠘⢮⣿⣳⣿⣇⣿⡿⠀⠀⠀⠀⠀⠀ ⣾⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠀⠋⠉⠙⠛⠋⠸⣷⣬⢷⡦⠀⢀⣀⠀⠀⠀⠛⠿⣷⣿⣿⣿⣿⣿⣿⣿⣿⡆⢸⠃⠀⠀⠈⠷⠳⠀⠙⣃⣼⣿⣿⣧⡀⠀⠀⠀⠀⠀ ⢿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣰⣞⠿⣶⡘⢿⣷⣦⣲⣄⠀⠈⠙⠾⣿⢿⣿⡿⣿⣿⢡⡏⠀⠀⠀⠀⠀⠀⠀⣸⢯⣍⠙⠻⢿⡇⠀⠀⠀⠀⠀ ⠈⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠘⠛⠋⢳⣤⡙⢷⡾⣿⣧⣄⠀⠀⠈⢣⡙⠟⠛⣿⡿⠁⠀⠀⠀⠀⠀⠀⣠⣟⡛⠁⠀⠀⢸⣧⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠤⠤⣄⣀⠀⠀⠀⠀⠀⠀⠀⠘⠧⣻⣌⠻⣌⢃⣀⠀⢀⠙⠂⠀⠋⠀⢀⡠⠞⢿⣓⣿⡿⢿⡿⠛⠃⠤⢤⣠⣇⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⣦⡀⠀⠀⠀⠀⠀⠀⠙⠿⠦⠹⣷⣍⡳⣞⠷⡄⠀⢠⣤⣾⣶⣷⢿⣿⣟⣻⣶⣤⡀⠀⠲⣄⡈⢿⣷⡀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣟⠳⣭⡙⠓⠤⠀⠀⠀⢦⣀⠀⠀⠀⠀⠈⠛⠙⠻⢷⡯⣦⡉⠙⢿⣿⠿⣷⠮⠽⠿⠿⣿⠻⢦⣄⣈⡙⢻⣿⣧⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣙⣛⣿⡇⠀⠀⠀⠀⠀⡀⠙⢷⣤⣦⡀⠀⠀⠀⠀⠀⠙⢮⣿⣿⣆⡙⢷⣀⡀⠀⠀⠀⢈⡀⣤⡈⣧⡙⢳⡜⣿⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠋⠁⠀⠀⠀⠀⠀⠙⣦⣈⡉⣾⣿⣷⣶⠀⡀⠀⢶⡶⢿⣿⣯⠁⠀⢧⡙⢲⡤⣤⣈⢻⣿⣿⣿⠁⠈⠑⢸⣆⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⢶⣷⣤⣿⣿⣿⡿⠛⠁⢠⡇⠲⣾⣷⣿⣿⣷⣀⠀⣦⠙⢦⠙⠙⠫⢿⣿⣿⣿⣧⣤⣈⣉⣿⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣿⣿⡿⠿⢧⠀⠀⢸⣅⡓⣶⣽⣿⣿⡾⣘⣦⠈⣿⣿⣧⠄⠀⠀⢹⡿⢿⣿⠟⠋⢁⣿⡇⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢓⡶⣦⠀⠙⠿⠞⠀⠀⠀⠈⠹⡿⢿⣿⡾⠿⠟⠙⠈⠉⢀⣤⣶⣤⠾⠉⢴⣟⣁⣤⣬⣉⣙⣷⢀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠡⢤⣽⠃⣘⡁⠀⠀⠀⠈⠉⠉⠀⠀⠀⣠⠟⢉⣍⣉⠉⢙⣿⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠤⣤⣤⠤⢀⣒⠒⠀⠀⠀⠀⠀⠀⠀⠀⠘⠛⠻⡿⠃⣾⣿⣿⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢉⢻⠶⡃⣠⣶⡾⠇⡏⠀
⠀⠀⠀⠀⠀⠀⢰⡖⢤⡀⠀⢀⣀⣀⣀⣀⡴⠒⣻⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠸⣿⣦⡈⢿⣿⣷⣿⣿⡟⢠⣾⣟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣹⣻⠿⣆⠻⣿⣿⡿⢣⢿⠹⡞⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⡇⢹⠀⠬⠳⣌⠛⢱⡏⠊⠀⣧⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⡤⣻⣾⠗⠀⠠⣽⡖⢲⣦⠀⠀⣹⣄⣤⣵⣄⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⡾⢹⢹⣿⣶⣦⡄⣨⣷⣿⣧⣖⣿⣿⣿⢿⢀⣿⣦⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣼⣠⡞⢸⣿⡏⠙⠛⠉⠀⠀⠀⠉⠈⣿⣿⢸⡘⣿⣿⣇⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣇⣿⡇⣼⣿⠀⠀⡀⠀⠀⠀⠀⣄⣀⢿⣿⠘⣷⣿⣿⣿⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢻⣿⢣⣿⣿⣓⣾⣷⡀⠀⠀⣸⣿⣧⣾⣿⡇⠸⣿⣿⣿⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠈⢿⢸⣿⢻⣿⣿⣿⣷⣄⣰⣿⠿⠿⠟⠉⢿⡀⢻⣿⣿⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠘⣼⣿⠈⠁⠀⠁⠙⢿⡟⠈⠀⠀⠀⠀⠈⣧⠀⣿⣿⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠸⣿⡄⠀⠀⢠⡀⠀⠁⠀⣠⣴⣿⡀⠀⢸⡀⣿⢿⠀⠀⠀⠀⠀ ⠀⠀⠀⢠⡤⡀⠀⠙⢷⡐⣦⣾⣿⣦⣠⣦⣿⡿⢿⣧⡄⣸⡇⡟⡜⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠻⡵⡀⠀⠀⠙⢿⡿⠋⠉⢿⣿⠋⢀⡀⠹⣧⣿⣿⡇⣇⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠛⢷⡑⡀⠀⠀⢠⠇⢀⠀⢸⣧⣴⣿⣷⣄⣿⣦⣭⣍⣉⣛⡓⠦⢤⡀ ⣸⣍⠒⢄⡀⠀⢳⢱⠀⠀⢀⠀⢸⣄⣸⡿⢛⣩⣽⣿⣛⣩⣝⣛⡿⠿⢿⣷⣤⡇ ⠓⠮⡻⢦⣈⠓⠿⠧⠧⢴⣿⣦⡼⣿⣾⠿⢿⠻⣿⣿⣿⣿⡿⣿⣿⠉⠓⠾⠿⠃ ⠀⠀⠈⠳⢝⠿⠶⠶⠶⠿⠿⠿⢟⡼⠁⠀⠀⠑⢝⣿⣿⣿⣿⣾⡿⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠉⠙⠛⠛⠛⠋⠉⠁⠀⠀⠀⠀⠀⠀⠙⠿⠙⠻⡇⠀⠀⠀⠀⠀⠀
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⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠖⠉⠱⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⠤⠤⠤⠤⠤⣀⣀⠀⠀⢀⡠⠖⠁⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⣰⠒⠲⣄⠀⠀⠀⠀⠀⠀⣀⠴⠊⠉⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠁⠀⠀⠀⢀⣀⣠⣃⡤⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢏⠀⠀⠀⠉⠒⠒⠦⠔⠊⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⢦⣠⡟⢁⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢦⣘⡄⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⡀⠀⠀⠀⠀⠀⣠⠔⠒⠒⢤⡀⠀⠀⠀⠀⠳⡏⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣀⠈⠙⢿⣁⠀⠀⠀⢀⡴⠋⠁⠀⠉⢳⡀⠀⠀⣼⠃⠀⠀⠀⠀⠙⢦⠀⠀⠀⠀⢱⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠉⠁⠉⠓⢦⣀⢀⡞⢀⣠⣦⣤⣄⠀⢳⠀⢸⣯⠀⣴⡿⠿⣿⣦⠀⢧⠀⠀⠀⠀⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣹⢸⠀⢸⣿⣩⣹⣿⡇⢸⣄⣨⣿⠀⢿⣷⣶⣾⡟⠀⢸⡄⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣿⢸⠀⠘⠿⣿⡿⠟⠀⡼⠀⠀⠈⢧⠀⠉⠛⠉⠀⠀⢸⠁⠀⠀⠸⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠻⡜⣄⠀⠀⠀⠀⠀⡰⢅⡀⠀⢀⡤⣳⢄⡀⠀⢀⣠⠏⠀⠀⠀⢸⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠹⡈⠢⢤⡤⠤⠊⠙⠲⠽⣆⡾⠚⠁⠀⠈⠉⠉⠀⠀⠀⠀⠀⠀⠈⠓⢄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢙⡖⠀⠀⠀⠀⠀⠀⠀⠘⠇⠀⠀⠀⠀⠀⣀⠤⠤⢤⣀⠀⠀⠀⠀⠀⠳⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠢⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢸⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡀⠀⠀⠙⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⢷⡤⠛⣶⠀⢀⡀⠀⠀⠀⠀⢸⠀⠀⠀⢠⠀⠀⠀⢸⣄⠀⠀⠀⡟⢤⣀⣠⠇⠳⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢸⡀⠀⠀⠀⠙⠒⠳⣇⢀⡼⠃⠀⢸⠀⠀⠀⠈⠳⣄⣀⣸⠈⠑⠦⠞⠁⠀⢤⠀⠀⠀⢹⡄⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣇⠀⠀⠀⠀⠀⠀⠈⠁⠀⠀⠀⠘⡆⠀⠀⠀⠀⠀⣄⠀⠀⠀⢰⡄⠀⠀⢸⠳⢤⣀⠜⠙⡄⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡀⠈⣆⠀⣤⢤⠀⠀⣄⠀⠀⠀⠹⡀⠀⠀⠀⠀⠈⠦⣄⣀⡼⠈⠒⠴⠚⠀⠀⠀⠀⠀⠹⡄⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢣⠀⠈⠉⠁⠘⠦⠞⢿⡀⢠⠆⠀⠱⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⡀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢣⠀⠀⠀⠀⠀⠀⠀⠉⠁⠀⠀⠀⠙⢦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣧⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢳⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠑⢄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⠹⡄⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡵⣄⠀⠀⠀⣄⠀⢰⠆⠀⠀⠀⠀⠀⠀⠙⠦⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⠃⠀⡇⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡴⠊⠁⢀⣌⢦⡀⠀⠈⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠑⠢⢤⣀⠀⠀⠀⠀⢀⣠⠞⠁⠀⠀⡇⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣰⣋⡤⢒⠟⠉⣀⠤⠟⠳⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠉⠉⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣰⠟⠁⢀⢮⡠⠊⢁⡠⠔⠒⠒⠛⠲⢤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⣸⠏⢀⠔⠉⠀⣀⣠⠀⠀⠀⠀⠈⠉⠲⣦⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠱⡀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⣰⣃⡤⢒⡝⠉⣠⠔⠒⠒⠒⠦⣄⢀⣘⡄⠈⠉⠒⠲⠤⢄⡀⠀⠀⢀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠱⡀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⠛⠁⠀⣾⡵⠋⠀⠀⠀⠀⠀⠀⠀⠙⢦⣇⠀⠀⠀⠀⠀⠀⢱⡀⠀⠘⣆⠀⠈⢆⠀⠀⠀⠀⠀⠀⢱⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⢳⡀⠀⠈⢧⠀⠈⢧⠀⠀⠀⠀⠀⠀⢇⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠱⡀⠀⠀⠳⡄⠈⠳⡀⠀⠀⠀⠀⠸⡀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢦⡀⠀⠘⢦⡀⠈⠳⡄⠀⠀⠀⠇ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢦⡀⠀⠙⢦⡀⠈⠢⣀⠀⢸ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠲⢄⡀⠈⠒⢤⣈⠑⢾ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠒⠤⣌⣉⡒
⣿⣿⣿⣿⠻⠿⣿⣿⣿⣿⡿⠿⠿⠟⠛⠛⠻⠿⠿⣿⣿⣿⣿⣿⠿⠟⣿⣿⣿⣿ ⣿⣿⣿⣿⣶⣦⣄⡉⠉⢠⣤⣴⣶⣶⣶⣶⣶⣶⣦⣤⡈⠙⠉⣠⣴⣶⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⠋⠀⠀⠀⠈⠻⣿⣿⣿⣿⣿⣿⡿⠋⠀⠀⠀⠘⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⡏⠀⠀⣴⣾⣷⡄⠘⢿⣿⣿⣿⠋⢀⣶⣿⣦⡀⠀⢸⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣇⠀⠀⢿⣿⣿⡟⠀⠈⢻⡿⠁⠀⠸⣿⣿⣿⠇⠀⢸⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⠋⡀⠀⠀⠉⠉⠀⠀⢀⠀⠁⣀⠀⠀⠈⠉⠁⠀⢀⠘⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⠃⣰⣧⠀⣶⣤⣤⣴⣶⣿⣇⢰⣿⣷⣦⣤⣤⣶⠀⢸⣧⠘⣿⣿⣿⣿ ⣿⣿⣿⣿⠀⣿⣿⠀⢿⡟⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⢿⣿⠀⣾⣿⠀⣿⣿⣿⣿ ⣿⣿⣿⣿⠀⢿⣿⡆⢸⣇⠉⢛⣿⡟⢿⡿⢿⣿⡛⠋⢸⡏⢀⣿⡿⠀⣿⣿⣿⣿ ⣿⣿⣿⣿⣧⠈⢿⣷⠀⢿⣷⣿⣿⣿⣤⣤⣾⣿⣿⣾⣿⠁⣼⡿⠃⣸⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣧⡈⠻⣧⠈⢿⡿⢿⣿⢿⣿⣿⣿⢿⣿⠃⣰⠟⢁⣴⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣦⡈⠃⠈⢳⣄⣠⣾⣿⣄⣀⡼⠃⠐⢁⣤⣾⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⠀⣀⠉⠻⠿⠿⠟⠋⢠⡀⢲⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⣰⡿⠀⣶⡆⢰⣶⡆⢸⣷⡀⢻⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣧⣴⣿⣷⣼⣿⣧⣼⣿⣷⣼⣿⣷⣤⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠊⠉⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢀⠄⠄⡀⠀⠀⢀⠤⠂⠉⠁⠈⠉⠁⠒⠈⠀⠀⢀⣇⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⡘⡀⠀⠀⠉⠉⠀⠀⠀⠀⠀⢀⡀⢄⡀⠀⠀⠻⠞⠐⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠤⠙⣧⠀⠀⡔⠉⠈⠑⡄⢀⠆⢀⣀⡈⢂⠀⠀⢣⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢑⠞⢰⣟⣻⡆⢱⣘⡇⣿⣭⡿⠈⡄⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠸⣤⠀⠛⠛⢁⠇⠀⢑⣌⠉⠁⢠⠃⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠩⡁⠤⠄⠙⠨⢦⠗⠁⠁⠈⠁⠀⠀⠈⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⡆⠀⠀⠀⠀⠈⠀⠀⢠⠐⠉⠁⠂⠀⠀⠈⠢⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⡇⡀⣀⠀⠀⠀⠀⠀⠃⠀⠀⠀⠀⠀⠀⢆⠀⢘⢆⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⡇⠈⠀⠓⢺⣀⠆⠀⡀⠀⠑⢄⡠⠑⠤⠂⠩⡉⠀⢢⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢰⠀⡄⢀⡀⠀⠀⠀⢃⠀⠀⠀⢄⠀⠘⠄⡠⠉⠒⠋⢃⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢃⠈⠁⠐⠚⢇⠔⠀⢂⠀⠀⠀⠉⠁⠀⠀⠀⠀⠀⠀⡆⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢂⠀⠀⠀⠀⠀⠀⠀⠑⢄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠿⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣀⠄⠣⡀⠀⢄⠞⠀⠀⠀⠀⠑⠠⡀⠀⠀⠀⠀⢀⠜⠀⡆⠀⠀ ⠀⠀⠀⠀⢀⣌⠄⠖⡉⠜⠢⣄⠀⠀⠀⠀⠀⠀⠀⠀⠉⠀⠀⠈⠁⠀⠀⡇⠀⠀ ⠀⠀⠀⠀⠘⠀⡼⢊⠔⠊⣉⠉⠁⠒⠤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢇⠀⠀ ⠀⠀⠀⠀⠀⠀⢠⠧⢂⢏⠄⠂⠀⠒⢤⣤⠈⠁⠐⠠⡀⠀⡀⠀⠀⠀⠀⠈⠆⠀ ⠀⠀⠀⠀⠀⠀⠉⠀⡞⠁⠀⠀⠀⠀⠀⠙⠀⠀⠀⠀⠡⡀⠑⡄⠡⡀⠀⠀⠈⡀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠑⡀⠈⢂⠐⢄⠀⠀⠁ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠢⠀⠑⢄⠑⠄⡐ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠢⠌⣐⡨
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⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡴⠶⠶⠒⠒⠒⠶⢶⣶⡶⠶⠤⢤⣤⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣞⣡⣤⣤⣤⣤⣀⠀⠀⠀⢸⣿⡄⠀⠀⠀⠀⠉⠉⠛⠳⠶⣤⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣋⠥⠒⣸⠋⠉⣹⡟⠶⣤⣾⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠙⠛⠶⣤⣀⣀⣠⣤⣶⣶⣾⣿⣿⣿⣿⣿⣶⣶⣤⣄⡀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⡠⠎⡀⠀⠀⣿⠿⠟⠛⠒⠛⠛⠛⠿⠶⢶⣤⣀⡀⠀⠀⠀⠀⠀⠀⣀⣀⠀⠀⠀⠉⠛⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠋⠁⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣎⣀⣴⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣈⣽⣿⣷⣤⡀⠀⠀⠀⠀⠉⠛⠷⣄⠀⠀⠀⠈⠙⠿⣿⣿⣿⡍⠉⠁⠀⠀⠀⠀⠀ ⠀⠀⣀⠀⠀⠀⠀⠈⠛⢛⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⣠⢷⡋⠉⠀⠀⠀⢹⣤⡿⢻⢷⣄⡀⠀⠀⠀⠀⠀⠁⠢⢀⠀⠀⠀⠈⠛⢷⣄⠀⠀⠀⠀⠀⠀⠀ ⠀⣾⣿⠀⠀⠀⠀⢀⢔⠕⣆⠀⠀⠀⠀⠀⠀⠀⣀⡼⠁⠀⢘⣄⣀⣀⣤⡾⠟⢀⠆⠀⠿⣿⣦⣄⠀⠀⠀⠀⠀⠀⠑⢦⣀⠀⠀⠀⠙⢷⣦⡀⠀⠀⠀⠀ ⢸⣿⡇⠀⠀⢀⠀⠖⠁⠀⠟⠐⣲⠂⢀⢤⣆⡿⢻⣅⣠⣴⣾⢿⣿⣿⣉⡀⣠⠎⠀⠜⠀⣿⣿⣿⣷⣄⠀⠀⠀⠀⠀⠀⠈⠳⣦⣀⠀⠀⠻⣿⣆⠀⠀⠀ ⢸⣿⣿⣷⣶⡿⠀⠘⠄⠀⠀⢐⣿⡄⣤⢰⣤⢤⣄⢉⣉⠥⠒⠉⠀⠀⢀⣈⣉⣒⣪⣤⠞⠋⢉⠜⠉⠉⠳⣄⠀⠀⠀⠀⠀⠀⠈⠻⣿⣶⣤⣬⣿⡇⠀⠀ ⢸⣿⣿⠟⠋⠀⢀⣤⣾⣦⣀⣼⣷⣿⠋⠁⠀⢀⡘⠉⠀⣠⣴⣶⣿⡿⠟⠛⢿⠉⠉⠉⠉⠑⠀⠀⠀⠀⠀⠈⢷⣄⠀⠀⠀⠀⠀⠀⠈⠻⡍⠛⠋⠁⠀⠀ ⣸⣿⡇⠀⠀⣠⣿⣿⣿⣿⡿⠿⢿⣿⡐⠬⠞⠊⢀⠠⠚⠛⠛⠛⠿⠇⠀⠀⠀⣂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣷⡄⠀⠀⠀⠀⠀⠀⠹⡄⠀⠀⠀⠀ ⡇⢻⣷⠀⢰⣿⠟⠉⠉⠁⠀⠀⠀⠉⠐⠒⠂⠈⠀⠀⠀⠀⣠⠞⢧⣤⡤⠤⣶⡟⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢿⣿⣆⠀⠀⠀⠀⠀⠀⢹⡀⠀⠀⠀ ⠋⡨⢿⡆⠈⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠤⠒⢋⠏⠀⢸⣿⠃⠀⠀⠙⢮⢢⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣆⠀⠀⠀⠀⠀⠀⢧⠀⠀⠀ ⢐⠀⣤⠿⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡴⠊⠁⠀⢀⡿⡆⠀⢨⠏⠀⠀⠀⠀⠀⠀⡆⠀⢀⣀⣀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣆⠀⠀⠀⠀⠀⢸⡀⠀⠀ ⠈⡎⠀⠀⠉⠻⢦⣄⡀⠀⠀⠀⠀⢀⡴⠋⠀⠀⠀⢀⠌⠀⣷⣶⡟⠀⠀⠀⠀⠀⠀⢀⠏⠁⠀⠀⠀⠉⠛⢶⣤⡀⠀⠀⢸⠏⠘⣆⠀⠀⠀⠀⠀⡇⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠉⢉⡟⠀⠀⠀⠀⢀⠊⠀⠀⣿⡟⠀⠀⠀⠀⠀⠀⢰⡈⡆⠀⠀⠀⠀⠀⠀⠀⠈⢻⣦⠀⣾⡀⠀⠸⡄⠀⠀⠀⠀⠇⠀⠀ ⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠁⠀⠀⠀⠀⠘⠄⡀⠤⠊⠀⠀⠀⠀⠀⠀⠀⣼⢹⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⣿⡇⠀⠀⢻⡄⠀⠀⠀⡆⠀⠀ ⠀⠀⠀⠀⠄⠀⠀⠀⠀⠀⠀⠀⢽⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⡟⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣿⠿⠻⡄⠀⠀⢷⠀⠀⠀⡇⠀⠀ ⠀⠀⠀⠀⠀⠐⢄⠀⠀⠀⠀⠀⠘⣧⣱⠀⠀⠀⠀⠀⣀⠄⠀⠀⠀⠀⠀⢀⡼⣿⠁⣿⣧⣤⣤⣤⣤⣤⣤⣤⣶⣿⡟⠁⠀⠐⠨⠄⡀⠸⡄⠀⢠⠃⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠉⠳⠶⣶⣶⣶⣿⣿⢶⣄⡀⠀⢀⡇⠀⢀⣀⣤⣴⠞⠋⡴⠃⠼⠿⠟⠛⠛⠛⠋⠉⢉⣡⡾⠋⠀⠠⣀⣀⣤⣴⡎⢁⡇⠀⡌⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣩⠏⠈⠳⣝⠛⠿⠛⠉⢉⣽⣿⣯⠀⠀⠘⠳⠤⣄⣀⣀⣀⣤⣤⣤⣶⠿⠋⠀⠀⠀⠀⠀⠀⡀⢉⢹⣸⣡⠞⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠚⠁⠀⠀⠀⠀⠉⠉⠉⢩⡟⠉⠉⠛⠓⠦⠤⠤⣤⣤⣬⠽⡿⣟⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠘⠉⡃⠄⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠗⠢⠀⠀⠀⠀⠀⠀⠀⠀⢻⠀⠀⠀⠀⠀⠀⠀⢀⡿⡇⠀⠀⠃⠈⠳⣄⠀⠀⠀⠀⠀⠀⠀⠀⠈⠒⠲⠾⡇⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⡞⠀⠀⡗⠁⠈⠂⠀⣀⠤⣄⡼⠀⠀⠀⠀⢀⣤⠶⠏⠀⢧⡀⠀⠃⢄⣀⣀⣑⠢⢄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣇⠀⡰⡄⠀⠀⢸⡎⠀⠀⠜⠀⠀⠀⢀⠔⠛⡇⠀⠀⠀⠀⠈⠒⢲⠚⠁⠀⠀⠀⠑⠉⠄⠀⡀⠀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⠁⢇⠀⣰⢿⣧⡴⠊⠀⠀⢀⡀⠀⢀⣰⠁⠠⠀⠀⠀⠀⠀⡇⠐⠂⠓⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠃⠀⠘⣿⠏⠟⠋⠀⠀⠀⠉⠙⠛⠋⠁⡘⠁⠀⢸⡀⠄⠀⣴⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣇⡠⠔⠙⡁⠀⡴⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠉⠉⠀⠀⠀⣠⡷⠞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⢀⣤⣶⣶⣦⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣶⣶⠆⠀⠀⠀⠀ ⠀⣰⣿⣿⠟⠛⠻⢿⣿⣄⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⠃⠀⠀⠀⠀⠀ ⢠⣿⣿⠃⠀⠀⠀⠀⠹⣿⣷⡀⠀⠀⢀⣾⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀ ⠈⠉⠉⠀⠀⠀⠀⠀⠀⠙⣿⣷⡀⢀⣾⣿⣿⡿⠃⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⣷⣾⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⠏⠸⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⠏⠀⠀⢹⣿⣿⡀⠀⠀⠀⠀⠀⣿⣿⡇ ⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⠋⠀⠀⠀⠀⢻⣿⣷⡀⠀⠀⠀⣰⣿⣿⠀ ⠀⠀⠀⠀⠀⣰⣿⣿⡿⠃⠀⠀⠀⠀⠀⠀⠙⣿⣿⣦⣤⣴⣿⣿⠃⠀ ⠀⠀⠀⠀⠰⠟⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠻⠿⠟⠛⠁⠀⠀
⠀⠀⠀⠀⠀⠀⢀⣤⣤⣶⣶⣶⣶⣤⣤⡀⠀⠀⠀⠀⠀⠀ ⠀⢻⣿⣿⣿⣿⣿⣿⠿⠛⠛⠛⠛⠿⣿⣿⣿⣿⣿⣿⡟⠀ ⠀⠀⠙⢿⣿⣿⣿⣷⣶⣦⣀⣀⣴⣶⣾⣿⣿⣿⡿⠋⠀⠀ ⠀⠀⢠⣾⣿⡿⠋⠉⠻⣿⣿⣿⣿⠟⠉⠙⢿⣿⣷⡄⠀⠀ ⠀⠀⢸⣿⡏⠀⣾⣿⡆⢸⣿⣿⡇⢰⣿⣷⠀⢹⣿⡇⠀⠀ ⠀⠀⠸⣿⣿⣦⣈⣉⣠⣾⣿⣿⣷⣄⣉⣁⣴⣿⣿⠇⠀⠀ ⠀⠀⠀⣸⣿⣿⣿⣿⣿⡿⣿⣿⢿⣿⣿⣿⣿⣿⣇⠀⠀⠀ ⠀⢀⣼⣿⡿⠋⠁⠁⠀⠀⠈⠁⠀⠀⠈⠈⠙⢿⣿⣧⡀⠀ ⢀⣾⣿⡟⠁⠀⣠⣦⡀⠀⠀⠀⠀⢀⣴⣄⠀⠈⢻⣿⣷⡀ ⣾⣿⡟⠀⠀⣰⣿⣿⣿⣦⡀⢀⣴⣿⣿⣿⣆⠀⠀⢻⣿⣷ ⣿⣿⡇⠀⢀⣿⣿⣿⣿⣿⣷⣾⣿⣿⣿⣿⣿⡀⠀⢸⣿⣿ ⣿⣿⡇⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⢸⣿⣿ ⠿⠿⠇⠀⠸⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠇⠀⠸⠿⠿
⠀⠀⢰⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⠆⠀⠀ ⠀⣄⠈⠻⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⠏⠀⣀⠀ ⠀⠘⣿⣦⡈⠻⠀⣄⠀⠀⠀⠀⠀⢀⣴⢸⠟⣡⣴⡿⠃⠀ ⠐⣶⣌⡻⢿⠰⣄⠻⣷⣦⡀⢀⣴⣿⠟⣠⣸⡿⢛⣡⡴⠂ ⠠⣈⠻⢿⡆⣀⠻⣷⡬⢋⣴⠹⢋⣵⡿⠟⠀⣶⣿⠟⢁⡀ ⠀⠹⣷⣤⡁⠸⣿⡎⣴⡿⢋⡄⡿⢋⣴⡿⠀⢩⣴⣿⠏⠀ ⠠⣤⣌⠙⠇⢷⣦⡁⢛⣴⡿⠃⣰⠟⣫⣴⠇⠼⠛⣁⣠⠄ ⠀⠹⠿⣷⡆⢈⡙⠃⡿⣫⡾⢇⢁⣾⠿⢋⡄⣴⣾⡿⠋⠀ ⠀⠳⣶⣌⡁⠸⢿⠀⣾⢟⣵⠎⠈⣤⣾⡿⠐⢉⣥⡶⠂⠀ ⠀⠠⣬⣙⠳⠸⣦⢈⣵⠟⣡⡞⠘⣋⣥⡶⠠⠿⢛⣁⠀⠀ ⠀⠀⠙⠿⢿⡀⣌⢘⡵⢟⣫⡄⠼⢟⣫⠅⣴⡿⠛⠁⠀⠀ ⠀⠀⠀⠰⣶⣦⡌⣨⠶⢛⡩⢠⡾⣿⡋⢀⣷⡶⠂⠀⠀⠀ ⠀⠀⠀⠀⢠⣭⢡⡴⢞⣻⢅⡷⠿⡛⢁⣩⣥⠄⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣠⣵⠾⠟⠁⠐⠛⠛⠐⣛⣛⡁⠀⠀⠀⠀⠀ ⠀⠀⠀⠠⠚⠉⠁⠀⠀⠀⠀⠀⠀⠀⠈⠉⠛⠂⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⡇⠀⠀⠀⠀⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⣿⠃⠀⠀⠀⠀⢸⣿⣷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⣿⣿⣿⣄⠀⠀⠀⢀⣴⣿⣿⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿⣿⣿⣷⣾⣷⣿⣿⣿⣿⣿⣿⣿⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠉⠙⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⠟⠁⠀⠀⠀⠀⠈⠻⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⣿⣿⣿⣿⣿⣿⣿⣿⠟⠁⠀⠀⣀⠀⠀⡀⠀⠀⠈⠻⣿⣿⣿⣿⣿⣿⣿⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⠟⠁⠀⠀⣠⣾⣿⠀⠀⣿⣦⡀⠀⠀⠈⢿⣿⣿⣿⣿⣿⣿⣿⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣾⣿⣿⣿⣿⣿⣿⣿⠟⠁⠀⠀⢠⣾⣿⣿⣿⠀⠀⣿⣿⣿⣦⡀⠀⠀⠙⢿⣿⣿⣿⣿⣿⣿⣿⣧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⣿⣿⣿⣿⣿⣿⡿⠋⠀⠀⢀⣴⣿⣿⣿⡿⠋⠀⠀⠙⣿⣿⣿⣿⣦⠀⠀⠀⠹⣿⣿⣿⣿⣿⣿⣿⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⣿⣿⣿⣿⣿⣿⣿⠋⠀⠀⠀⣰⣿⣿⣿⣿⠋⠀⠀⠀⢀⠀⠈⠻⣿⣿⣿⣷⣄⠀⠀⠈⠻⣿⣿⣿⣿⣿⣿⣿⣷⡄⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢀⣼⣿⣿⣿⣿⣿⣿⣿⠟⠁⠀⠀⣠⣾⣿⣿⣿⠟⠁⠀⣠⣾⠀⢸⣷⣄⠀⠘⢿⣿⣿⣿⣷⣄⠀⠀⠙⢿⣿⣿⣿⣿⣿⣿⣿⣦⡀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⡿⠃⠀⠀⢀⣼⣿⣿⣿⡿⠃⠀⣠⣾⣿⠿⠀⠘⢿⣿⣷⣄⠀⠙⢿⣿⣿⣿⣦⡀⠀⠀⠙⣿⣿⣿⣿⣿⣿⣿⣷⣄⠀⠀⠀⠀⠀ ⠀⠀⠀⢠⣾⣿⣿⣿⣿⣿⣿⣿⠋⠀⠀⢀⣴⣿⣿⣿⣿⠏⠀⣠⣾⣿⠟⠁⠀⠀⠀⠀⠙⢿⣿⣷⡄⠈⠻⣿⣿⣿⣿⣄⠀⠀⠈⠻⣿⣿⣿⣿⣿⣿⣿⣧⡀⠀⠀⠀ ⠀⢀⣴⣿⣿⣿⣿⣿⣿⣿⠟⠁⠀⠀⣠⣾⣿⣿⣿⡟⠁⢀⣼⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣿⣦⡀⠙⢿⣿⣿⣿⣷⡄⠀⠀⠘⢿⣿⣿⣿⣿⣿⣿⣿⣆⠀⠀ ⣠⣾⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⢀⣾⣿⣿⣿⣿⠏⠀⣰⣿⣿⠏⠀⠀⠀⢠⣾⣿⣿⣷⡄⠀⠀⠈⢻⣿⣷⡄⠈⢻⣿⣿⣿⣿⣦⠀⠀⠀⢙⣿⣿⣿⣿⣿⣿⣿⣷⡀ ⠙⣿⣿⣿⣿⣿⣏⢿⣿⣧⡀⠀⠘⠿⣿⣿⣿⣯⡀⠘⠿⣿⣿⡀⠀⠀⠀⢿⣿⣿⣿⣿⡇⠀⠀⠀⣠⣿⣿⠟⠀⣠⣿⣿⣿⣿⠿⠀⠀⣠⣾⣿⠟⣽⣿⣿⣿⣿⡿⠁ ⠀⠘⢿⣿⣿⣿⣿⣆⠻⣿⣿⣆⠀⠀⠈⠛⢿⣿⣿⣦⡀⠈⠻⣿⣦⠀⠀⠈⠛⠿⠿⠋⠀⠀⢀⣼⣿⠟⠁⢀⣾⣿⣿⡿⠋⠀⠀⢀⣴⣿⣿⠋⣾⣿⣿⣿⣿⡟⠁⠀ ⠀⠀⠈⢿⣿⣿⣿⣿⣆⠙⣿⣿⣷⡀⠀⠀⠀⠙⢿⣿⣷⣄⠀⠘⢿⣧⠀⠀⠀⠀⠀⠀⠀⢠⣾⡟⠁⠀⣰⣿⣿⠟⠁⠀⠀⠀⣠⣾⣿⡿⠁⣼⣿⣿⣿⣿⠟⠀⠀⠀ ⠀⠀⠀⠀⢻⣿⣿⣿⣿⣆⠈⢻⣿⣿⣆⠀⠀⠀⠀⠙⢿⣿⣦⠀⠀⠻⣧⠀⠀⠀⠀⠀⠀⣾⠋⠀⢀⣾⣿⡟⠁⠀⠀⠀⢀⣴⣿⣿⠟⠀⣼⣿⣿⣿⣿⠏⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠹⣿⣿⣿⣿⣆⠀⠹⣿⣿⣷⠀⠀⠀⠀⠀⠻⣿⣧⠀⠀⠹⡄⠀⠀⠀⠀⠸⠃⠀⢀⣾⣿⠋⠀⠀⠀⠀⢠⣿⣿⣿⠋⠀⣼⣿⣿⣿⣿⠋⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠙⣿⣿⣿⣿⠀⠀⣿⣿⣿⠀⠀⠀⠀⠀⠀⠘⢿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⡿⠁⠀⠀⠀⠀⠀⢸⣿⣿⡏⠀⠘⣿⣿⣿⡿⠃⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⡟⠀⠀⢻⣿⣿⠀⠀⠀⠀⠀⠀⠀⠈⢿⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡟⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⡇⠀⠀⣿⣿⣿⡁⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢀⣿⣿⣿⡇⠀⠀⠸⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⠃⠀⠀⢻⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⠁⠀⠀⠀⠈⠻⣷⡀⠀⠀⠀⠀⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⠀⠀⠀⠀⢠⣾⠟⠁⠀⠀⠀⢸⣿⣿⣿⡆⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠈⠳⡄⠀⠀⠀⣿⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⡇⠀⠀⠀⡰⠋⠀⠀⠀⠀⠀⠀⠈⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠈⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⢸⣿⣿⣷⡄⠀⠀⠀⠀⠀⠀⣠⣾⣿⣿⠃⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢹⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠈⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠹⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⣿⡇⠀⠀⠀⠀⠀⠀⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⡇⠀⠀⠀⠀⠀⠀⢻⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⡇⠀⠀⠀⠀⠀⠀⢸⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⡇⠀⠀⠀⠀⠀⠀⢸⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⡇⠀⠀⠀⠀⠀⠀⢸⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⡇⠀⠀⠀⠀⠀⠀⢸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡇⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⢸⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠃⠀⠀⠀⠀⠀⠀⠸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣤⣿⣿⣤⣼⣿⣤⣼⣿⣤⣼⣿⣦⣴⣿⣧⣤⣿⣧⣤⣿⣧⣤⣿⣿⣤ ⠙⣿⣿⡟⠛⣿⠛⢻⣿⠛⣿⠛⢻⡟⠛⣿⠛⣿⡟⠛⣿⠛⢻⣿⣿⠋ ⠀⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠀ ⠀⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⠀ ⠀⣿⣿⣿⣿⠉⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠉⣿⣿⣿⣿⠀ ⠀⣿⣿⣿⣿⣀⣿⣿⣿⣿⡿⠛⠛⠛⠛⢿⣿⣿⣿⣿⣀⣿⣿⣿⣿⠀ ⠀⠿⠿⠿⠿⠿⠿⠿⠿⠿⠀⠀⠀⠀⠀⠀⠿⠿⠿⠿⠿⠿⠿⠿⠿⠀ ⠀⣤⣤⣤⣤⣤⣤⣤⣤⣤⠀⠀⠀⠀⠀⠀⣤⣤⣤⣤⣤⣤⣤⣤⣤⠀ ⠀⣿⣿⣿⣿⠿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⠿⣿⣿⣿⣿⠀ ⠀⣿⣿⣿⣿⠀⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⠀⣿⣿⣿⣿⠀ ⠀⣿⣿⣿⣿⠀⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⠀⣿⣿⣿⣿⠀ ⠀⠻⠿⠿⠿⠀⠿⠿⠿⠟⠀⠀⠀⠀⠀⠀⠻⠿⠿⠿⠀⠿⠿⠿⠟⠀
🟧🟧🟧🟧🟧🟧🟧🟧🟧🟧🟧🟧🟧🟧🟧 🟧🟧⬛⬛⬛⬛🟧🟧🟧⬛⬛⬛⬛🟧🟧 ⬜🟧⬛⬛⬛⬛🟧⬜🟧⬛⬛⬛⬛🟧⬜ ⬜🟧⬛⬛⬛⬛🟧⬜🟧⬛⬛⬛⬛🟧⬜ ⬜⬜🟧🟧🟧🟧⬜⬜⬜🟧🟧🟧🟧⬜⬜
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣴⣶⣶⣶⣶⣶⣶⣤⣄⠀⠀⠀⢀⣤⣴⣶⣶⣶⣦⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⠿⠛⠛⠉⠙⠛⢿⣿⣿⣦⣠⣼⣿⠿⠛⠛⠛⠛⠛⠛⠻⢿⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠙⢿⣿⣿⣿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣿⣿⣴⣿⣿⣶⣄⠀⠀⠀⠀⠀⢸⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣤⣤⣶⣶⣶⣶⣿⣿⡀⠀⠀⣠⣶⣶⣶⣤⣄⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⢸⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣠⣴⣿⣿⠿⠿⠟⠛⠛⠛⠛⢿⣿⣧⢀⣼⣿⣿⣿⣿⣿⣿⣷⣀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⣠⣿⣿⣿⣷⣶⣦⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣠⣾⣿⠿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠘⢿⣿⣿⣿⣿⣣⣤⣶⣿⣿⣿⠟⠁⠉⠙⠻⢿⣿⣷⣦⡀⠀⠀⠀⠀⠀ ⠀⠀⠀⣼⣿⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣿⣿⣿⣿⣿⣿⣿⣿⠟⠋⠘⢿⣷⣶⣿⣿⣿⣿⣿⣿⣿⣿⠿⠋⠀⠀⠀⠀⠀⠀⠈⠛⠿⣿⣶⣄⠀⠀⠀ ⠀⠀⣾⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠉⠉⠁⠀⠀⠀⠀⠀⠈⠛⠛⠛⠛⠉⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣦⡀⠀ ⠀⣼⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢻⣿⡆ ⢠⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿ ⢸⣿⡇⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡏ ⣿⣿⠀⠀⠀⠀⠀⢀⣴⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣴⣾⡏⠀ ⣿⣿⠀⠀⠤⢴⣾⣿⣿⣿⣷⣶⣶⣶⣤⣤⣤⣤⣄⣀⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣠⣤⣴⣾⣿⣿⣿⢿⣿⡄ ⣿⣿⠀⠀⠀⠀⠀⠹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏⠀⣿⣿ ⢻⣿⡄⠀⠀⠀⠀⠀⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠃⠀⠀⢸⣿ ⠘⣿⣧⠀⠀⠀⠀⠀⠀⠹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠁⠀⠀⢀⣿⡿ ⠀⠹⣿⣆⠀⠀⠀⠀⠀⠀⠙⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠛⠁⠀⠀⠀⣠⣿⡿⠁ ⠀⠀⠘⣿⣆⠀⠀⠀⠀⠀⠀⠀⠻⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠛⠉⠀⠀⠀⠀⢀⣼⣿⠟⠀⠀ ⠀⠀⠀⠘⣿⣷⣤⣀⠀⠀⠀⠀⠀⠀⠉⠛⠛⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠟⠛⠛⠛⠉⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⠃⠀⠀⠀ ⠀⠀⠀⠀⢸⣿⡿⣿⣷⣦⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⡿⠁⠀⠀⠀⠀ ⠀⠀⠀⠀⢸⣿⡇⠀⠉⠉⠛⠿⠷⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⠇⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠘⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠛⠛⠻⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠟⠛⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⡟⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢹⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⡇⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢻⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠈⢿⣿⣧⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣼⣿⡟⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠘⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠇⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣶⣶⣿⣿⣿⣿⣷⣶⣶⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⠿⠿⠿⠿⠿⢿⣿⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⣿⣿⠀⢠⣤⣤⠀⢸⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣀⣀⣀⣀⣼⣿⣿⣿⣿⣀⣈⣉⣉⣀⣸⣿⣿⣿⣿⣄⣀⣀⣀⣀⡀⠀⠀ ⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⠀⠀ ⠀⠀⠾⠿⢿⣿⣿⣿⣿⣿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⢿⣿⣿⣿⣿⠿⠿⠿⠀⠀ ⠀⠀⠀⢠⣿⣿⣿⣿⡿⠁⠀⣀⣀⡀⠀⠀⢀⣀⣀⠀⠀⠹⣿⣿⣿⣧⠀⠀⠀⠀ ⠀⠀⠀⠿⢿⣿⣿⠋⠀⠀⡞⠁⠀⢹⡄⢰⠏⠀⠈⢷⠀⠀⠙⣿⣿⡿⠆⠀⠀⠀ ⠀⠀⠀⠀⠸⣏⠁⠀⠀⠀⢧⣾⣷⡼⠁⠘⣶⣿⣷⠟⠀⠀⠀⠈⣿⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢻⡄⠀⢀⡀⠀⠈⠉⠀⠀⠀⠀⠉⠁⠀⣀⠀⠀⣸⠏⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢹⣦⡀⠙⠦⣄⣀⣀⠀⠀⣀⣀⡤⠞⠁⢀⣼⣏⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⣴⠏⠈⠻⢦⣄⣀⠉⠉⠉⠉⠉⠁⣀⣤⡶⠋⠀⢻⣦⡀⠀⠀⠀⠀ ⠀⠀⢠⣼⡿⠃⠀⠀⠀⠀⠈⠙⠛⠛⢛⡛⠛⠛⠉⠁⠀⠀⠀⠀⢻⣿⣦⡀⠀⠀ ⣀⣴⣿⣿⣧⣤⣤⣤⣤⣤⣀⣀⣀⣀⣾⣷⣀⣀⣠⣤⣤⣴⣶⣶⣶⣿⣿⣿⣦⡀
⡿⠉⠄⠄⠄⠄⠈⠙⠿⠟⠛⠉⠉⠉⠄⠄⠄⠈⠉⠉⠉⠛⠛⠻⢿⣿⣿⣿⣿⣿ ⠁⠄⠄⠄⢀⡴⣋⣵⣮⠇⡀⠄⠄⠄⠄⠄⠄⢀⠄⠄⠄⡀⠄⠄⠄⠈⠛⠿⠋⠉ ⠄⠄⠄⢠⣯⣾⣿⡿⣳⡟⣰⣿⣠⣂⡀⢀⠄⢸⡄⠄⢀⣈⢆⣱⣤⡀⢄⠄⠄⠄ ⠄⠄⠄⣼⣿⣿⡟⣹⡿⣸⣿⢳⣿⣿⣿⣿⣴⣾⢻⣆⣿⣿⣯⢿⣿⣿⣷⣧⣀⣤ ⠄⠄⣼⡟⣿⠏⢀⣿⣇⣿⣏⣿⣿⣿⣿⣿⣿⣿⢸⡇⣿⣿⣿⣟⣿⣿⣿⣿⣏⠋ ⡆⣸⡟⣼⣯⠏⣾⣿⢸⣿⢸⣿⣿⣿⣿⣿⣿⡟⠸⠁⢹⡿⣿⣿⢻⣿⣿⣿⣿⠄ ⡇⡟⣸⢟⣫⡅⣶⢆⡶⡆⣿⣿⣿⣿⣿⢿⣛⠃⠰⠆⠈⠁⠈⠙⠈⠻⣿⢹⡏⠄ ⣧⣱⡷⣱⠿⠟⠛⠼⣇⠇⣿⣿⣿⣿⣿⣿⠃⣰⣿⣿⡆⠄⠄⠄⠄⠄⠉⠈⠄⠄ ⡏⡟⢑⠃⡠⠂⠄⠄⠈⣾⢻⣿⣿⡿⡹⡳⠋⠉⠁⠉⠙⠄⢀⠄⠄⠄⠄⠄⠂⠄ ⡇⠁⢈⢰⡇⠄⠄⡙⠂⣿⣿⣿⣿⣱⣿⡗⠄⠄⠄⢀⡀⠄⠈⢰⠄⠄⠄⠐⠄⠄ ⠄⠄⠘⣿⣧⠴⣄⣡⢄⣿⣿⣿⣷⣿⣿⡇⢀⠄⠤⠈⠁⣠⣠⣸⢠⠄⠄⠄⠄⠄ ⢀⠄⠄⣿⣿⣷⣬⣵⣿⣿⣿⣿⣿⣿⣿⣷⣟⢷⡶⢗⡰⣿⣿⠇⠘⠄⠄⠄⠄⠄ ⣿⠄⠄⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣾⣿⣿⡟⢀⠃⠄⢸⡄⠁⣸ ⣿⠄⠄⠘⢿⣿⣿⣿⣿⣿⣿⢛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⢄⡆⠄⢀⣪⡆⠄⣿ ⡟⠄⠄⠄⠄⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢿⣟⣻⣩⣾⣃⣴⣿⣿⡇⠸⢾
🟪🟪🟪🟪🟪🟪🟪🟪🟪🟪🟪🟪🟪🟪🟪 🟪🟪⬛⬛⬛⬛🟪🟪🟪⬛⬛⬛⬛🟪🟪 ⬜🟪⬛⬛⬛⬛🟪⬜🟪⬛⬛⬛⬛🟪⬜ ⬜🟪⬛⬛⬛⬛🟪⬜🟪⬛⬛⬛⬛🟪⬜ ⬜⬜🟪🟪🟪🟪⬜⬜⬜🟪🟪🟪🟪⬜⬜
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⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣸⣆⣿⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⠋⣏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣇⠈⠳⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣶⣄⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣯⣿⣿⡄⠀⠹⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⣿⣿⣿⣿⣦ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣷⣰⡄⢹⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡼⣠⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⣤⢿⡿⣿⠈⠻⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⠓⣻⣿⣿⣿⣿⡿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣷⡞⣥⠾⡂⠀⢻⣶⣶⣶⣿⣿⣿⣶⣶⣶⣶⢦⣤⣀⠀⠀⠀⢀⣠⣿⡿⠃⣰⣿⣿⣿⣿⣿⠁ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣶⣾⣿⣿⣿⣿⣿⣾⣿⡉⠙⠷⣿⣛⠛⠻⠍⠈⣉⣉⣉⣩⣿⠟⠛⢿⠚⢿⠟⢋⣠⣾⣿⣿⣿⣿⡿⠁⠀ ⠀⠀⠀⠀⠀⠀⠀⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏⣤⣶⣷⣄⣉⢉⣥⣴⣒⣒⠒⢂⠀⠀⠠⡄⢠⡛⠛⠃⠸⢿⣟⢛⣽⣿⣿⡟⠁⠀⠀ ⠀⠀⠀⠀⠀⢠⣾⣿⣿⣾⣋⣴⠟⠑⣿⣏⡿⣷⣴⣿⢿⡋⠀⠶⠫⣤⠤⢭⣄⠀⣞⡉⠙⠒⠿⠴⣯⣇⡀⠀⢀⣿⡝⣿⣿⠋⠀⠀⠀⠀ ⠀⠀⠀⠀⣰⣿⣿⣿⣿⣿⡟⠋⢀⣤⣿⠛⠷⣄⣙⣿⣿⣿⣷⡀⠀⠀⠀⠋⠈⡋⠉⠓⠚⠿⣿⠄⢢⣿⡋⠛⠉⠀⣿⣿⣿⡆⠀⠀⠀⠀ ⠀⠀⠀⣴⡿⢿⣿⡟⣹⠟⠁⢸⣿⠯⣌⣉⣲⠺⢿⣿⠟⠉⠙⠛⠷⣦⣀⠀⠀⣇⠀⠀⠀⠀⢠⠂⠈⠃⢙⣠⣶⣿⣿⠿⠛⡇⠀⠀⠀⠀ ⠀⠀⣼⣿⣿⣿⣿⠞⢠⠀⢀⣾⠟⠒⠛⠋⢀⣥⣾⠁⠀⣴⣯⣿⣷⠈⢻⣿⣶⡾⣧⠀⠀⠀⢀⠀⡀⣠⣿⣧⠈⢻⣿⣚⣗⣷⠀⠀⠀⠀ ⠀⢰⣿⣿⡟⣥⣿⣷⠁⠠⣿⣿⣥⠄⠀⠤⠟⠻⣿⡀⠀⠹⣿⣿⡿⠀⠀⣿⣿⡇⠈⠑⠒⠂⠈⠉⠀⣿⣿⣿⠀⠘⣿⣛⠁⢹⠀⠀⠀⠀ ⠀⣿⣿⣾⣇⡏⡿⠁⠀⠀⣿⣿⣛⣡⠤⣶⣶⣿⡿⠷⣄⣀⠀⢀⣠⡴⣾⣿⡿⠃⣀⣀⣠⡀⠀⠀⠀⢹⠛⠉⠀⣸⠓⠾⠄⣸⠀⠀⠀⠀ ⢸⣿⡿⢹⣿⡇⠀⠀⠀⠀⠙⢿⣯⡼⢻⣧⣼⣟⣭⣴⡞⢉⣛⣹⣽⠾⠟⠉⠀⠀⠀⠉⣿⣿⡄⠀⠀⠈⠳⢶⣾⠑⣻⢷⡎⣿⠀⠀⠀⠀ ⢸⣿⣿⡟⠘⠃⠀⠀⠀⠸⢷⣶⣿⣧⣤⠋⣙⢙⣫⠽⠛⠛⠋⠉⠀⠀⠀⠀⠀⠀⠀⣠⣿⣿⣷⠀⠀⠀⠀⠀⠙⣿⣏⡓⢲⡿⠀⠀⠀⠀ ⢸⣿⣟⡧⠀⠀⠀⠀⠀⠀⠾⣿⣿⣿⣿⡞⣿⢿⠿⢒⣀⣄⣀⠀⠀⠀⠀⠀⢠⣶⢶⣿⣿⡝⢿⡄⠰⠀⠀⠰⣶⣮⣷⡟⣿⡇⠀⠀⠀⠀ ⡌⠈⠃⠀⠀⠀⠀⠀⠀⠀⠀⠛⠁⠚⠛⠻⠟⢰⣤⣦⡍⠉⠁⠀⠀⠐⢷⣼⣿⣿⣿⣿⣿⣷⠈⡇⠀⠀⠰⠤⠙⢛⣹⣿⣿⡀⠀⠀⠀⠀ ⢇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢧⢾⣿⣆⠻⣷⡦⣦⡀⠈⠛⢿⣿⣿⣿⣿⣼⠁⠀⠀⠀⠀⠠⣾⣯⠙⠻⣧⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠈⠳⢮⣿⡛⢷⢦⡀⠀⠠⡍⠉⡿⠃⠀⣠⣄⣀⣠⣶⣿⡅⠀⠀⢻⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⢹⣶⣄⠀⠀⠀⠀⠈⠙⢿⣌⢷⣔⢦⡴⣄⠀⢀⣠⣮⣥⣿⣶⣿⣭⡁⠀⢉⡙⢻⣦⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣯⣝⠳⠄⠀⠀⢤⡀⠀⠀⠀⠙⠛⠻⣾⣦⡈⠻⣿⠿⡾⠽⠿⠿⡟⠦⣄⣉⡺⣿⡆⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠬⣽⡟⠀⠀⠀⠀⢄⠉⢷⣶⣄⡀⠀⠀⠈⣻⣿⣿⡌⠳⡤⣀⠀⠀⢠⣴⣤⣦⠙⡎⢷⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣌⣳⣶⣿⣿⠟⠁⠀⣬⣿⣿⣿⡇⠀⡑⢌⠳⠿⢾⣿⣿⣷⡀⠀⢾⡄⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⡿⣿⣿⠇⠀⠠⣇⣾⣿⣿⣿⣛⣆⢹⣾⣧⠄⠀⢹⡿⣿⡿⠛⣹⣧⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢷⠆⠈⠛⠁⠀⠀⠀⠹⠛⢿⡟⡛⠈⠀⠀⠴⠶⠖⠃⢰⣯⣴⠶⣭⣿⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣙⠛⠀⢲⡀⠀⠀⠀⠀⠀⠀⠺⠥⣾⣖⣤⣿⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠉⠀⠀⠀⠀⠀⠀⠒⣲⠖⣀⣤⣿⣿⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡤⣤⠤⠤⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢸⠉⡉⡐⠤⠾⢟⣉⠪⠤⡱⠍⣉⡒⣳⣦⡤⠖⠒⡆⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠘⡌⠚⠒⠀⠀⠀⠈⠓⢎⢁⡴⠊⠉⠀⠀⠲⠇⢰⠃⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⡼⠀⠀⣴⢒⠒⢄⠀⠈⠋⢀⣔⣂⠐⢀⠀⠰⡋⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢸⠁⠀⠘⣿⡟⠀⢸⠀⠀⠀⢸⣿⡟⠀⢠⠀⠀⢱⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣾⠀⠀⢀⣨⣴⣂⠁⢲⡈⢁⠖⠉⣀⣬⣄⠀⠀⢸⠄⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢹⠀⠀⠈⠙⠛⠉⠀⠀⠱⠋⠀⠀⠉⠉⠉⠀⠀⢸⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠈⢦⡀⠀⠀⠀⠀⢀⣀⠤⠤⠤⣀⡀⠀⠀⠀⣠⠏⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣠⠖⠁⡸⠃⠒⠒⠉⠁⠀⠀⠀⠀⠀⠈⠉⠉⠉⢏⠢⡀⠀⠀⠀ ⠀⠀⠀⠀⡴⠁⠀⢰⠁⢠⠀⠀⢀⡄⠀⠀⠀⣠⡀⠀⣠⢀⡀⠘⡆⠈⢆⠀⠀ ⠀⠀⢀⡜⠀⠀⠀⡏⠀⠀⠈⠉⠁⠀⠁⠈⠁⠀⠀⠀⠀⠀⠀⠀⢳⣀⣈⣆⠀ ⠀⠀⣾⢀⠴⣄⣼⠁⠀⠘⣀⠀⢀⠄⡀⢀⡀⠦⢀⠠⠒⠒⠊⠀⢸⢣⢁⢸⡆ ⠀⣼⢆⢆⢃⠱⢸⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⠈⡘⡈⣷ ⢠⠿⡈⡸⡌⡆⣄⣇⠀⠀⠱⢄⣀⠴⢄⣀⡀⠦⠤⠤⠊⠀⠀⢠⠧⣇⡧⠟⠋ ⠸⣇⡷⣇⡠⠿⠟⠘⢆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠎⠀⠀⠀⠀⠀ ⠀⠀⠀⠈⠀⠀⠀⠀⠀⠑⡆⠀⠀⠀⠀⠀⣀⡄⠀⠀⠀⡰⠁⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣑⣧⣤⣤⣖⠚⠁⡵⣲⢦⣾⢻⣆⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢠⠾⣑⣾⣳⣦⣽⠀⢸⡿⠻⣿⠟⠿⠃⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠘⠛⠉⣿⠋⠈⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
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⬜⬜⬛⬛⬛⬜⬜⬜⬜⬜⬜⬜⬛⬛⬛⬜⬜ ⬜⬛🏽🏽🏽⬛⬜⬜⬜⬜⬜⬛🏽🏽🏽⬛⬜ ⬛🏽🏽🏽⬛🟥⬛⬜⬜⬜⬛🟥⬛🏽🏽🏽⬛ ⬛🏽🏽🏽⬛⬛⬛⬛⬛⬛⬛⬛⬛🏽🏽🏽⬛ ⬜⬛⬛🏽⬛⬜⬜⬜⬜🏽🏽🏽⬛🏽⬛⬛⬜ ⬜⬜⬜⬛⬜⬜⬜⬜⬜🏽🏽🏽🏽⬛⬜⬜⬜ ⬜⬜⬜⬛⬜⬜⬜⬜⬜🏽🏽🏽🏽⬛⬜⬜⬜ ⬜⬜⬜⬛⬜⬜⬛⬜⬜⬛⬜🏽🏽⬛⬜⬜⬜ ⬜⬜⬜⬛⬜⬜⬛⬛⬜⬛⬛🏽🏽⬛⬜⬜⬜ ⬜⬜⬜⬛⬜⬜⬜⬜⬜⬜🏽🏽🏽⬛⬜⬜⬜ ⬜⬜⬛⬜⬜⬜⬛⬛⬛⬛⬛⬜🏽🏽⬛⬜⬜ ⬜⬜⬛⬜⬜⬜⬛⬛⬛⬛⬛⬜⬜⬜⬛⬜⬜ ⬜⬜⬛⬜⬜⬜⬜⬛⬛⬛⬜⬜⬜⬜⬛⬜⬜ ⬜⬜⬛⬜⬜⬜⬜⬜⬜⬜⬜⬛⬜⬜⬛⬜⬜ ⬜⬜⬜⬛⬜⬜⬛⬛⬛⬛⬛⬜⬜⬛⬜⬜⬜ ⬜⬜⬜⬜⬛⬜⬜⬜⬜⬜⬜⬜⬛⬜⬜⬜⬜ ⬜⬜⬜⬜⬜🟦🟦🟦🟨🟦🟦🟦⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬛⬜⬜🟨🟨🟨⬜⬜⬛⬜⬜⬜⬜ ⬜⬜⬜⬜⬛⬜⬜⬜⬜⬜⬜⬜⬛⬜⬜⬜⬜ ⬜⬜⬜⬛⬜⬜⬜⬜⬜⬜⬜⬜⬜⬛⬜⬜⬜ ⬜⬜⬛⬜⬜⬛⬜⬜⬛⬜⬜⬛⬜⬜⬛⬜⬜ ⬜⬜⬛⬛⬜⬛⬜⬜⬛⬜⬜⬛⬜⬛⬛⬜⬜ ⬜⬜⬛⬜⬜⬛⬜⬜⬛⬜⬜⬛⬜⬜⬛⬜⬜ ⬜⬛⬜⬛⬜⬛⬜⬜⬛⬜⬜⬛⬜⬛⬜⬛⬜ ⬜⬛⬜⬜⬛⬛⬜⬜⬛⬜⬜⬛⬛⬜⬜⬛⬜ ⬜⬜⬛⬛⬜⬜⬛⬛⬜⬛⬛⬜⬜⬛⬛⬜⬜
⠀⠀⠀⠀⠀⠀⠀⣀⡄⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀ ⠀⠀⠀⠀⠀⠀⠐⢿⠓⠀⢀⡴⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠹⡒⠤⣀⡀⠀⢀⡴⠋⢠⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠱⡀⠀⠉⠑⠋⠀⠀⣸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⠀⠀ ⠀⠀⠀⠀⢱⡄⠀⠀⠀⠀⠀⠉⠒⠤⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀ ⠀⠀⠀⡴⠋⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣈⠵⠦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⠀⠀ ⢀⡤⠋⣀⣀⣀⣤⠀⠀⠀⢰⠋⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠀⠀ ⠈⠉⠁⠀⠀⠀⠀⢧⠀⠀⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢐⣶⣆⠀⠀⢠⠈⢇⢰⠃⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⣰⡄⠀⠀⠀⠀⠀⠀ ⠀⠈⠙⠀⠀⠀⣏⣧⠈⠟⠀⠀⠀⠀⠀⠀⠽⡿⠆⠀⠀⠀⢀⣿⣿⣦⣶⣶⠟⠀⠀ ⠀⠀⠀⠀⣀⣸⣿⣯⢧⠤⢤⣤⣴⠦⠀⠀⠀⠁⠀⠀⠛⠿⣿⣿⣿⣿⣿⡁⠀⠀⠀ ⠀⠙⠯⡻⣿⣿⣿⣿⣿⣿⡿⠟⠁⠀⠰⣄⣠⡇⠀⠀⠀⠀⢸⣿⡿⠛⠛⠿⣆⠀⠀ ⠀⠀⠀⠈⢻⣿⣿⣿⣿⣿⠁⠀⠀⠀⣠⢿⣿⠟⠒⠀⠀⠀⠸⠊⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⡾⣿⠿⠺⢝⡯⢧⠀⠀⠀⠀⠀⠻⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢼⠓⠁⠀⠀⠀⠉⠺⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⢿⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡜⠈⡇⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢟⡒⠒⠛⠁⠀⠘⠒⠒⢲⡶⠂⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⡆⠀⠈⢢⠀⠀⠀⠀⡤⠚⠁⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⠉⠀⢠⠇⢀⡤⣀⠀⢳⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡿⠊⠁⠀⠈⠳⣼⡄⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⡄⠀⣀⠀⠀⢀⣄⡀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠶⢾⣿⣟⠁⠀⠀⠺⡟⠃ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡏⢉⠓⠀⠀⠀⠀⠀
⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⠀⠀⠀⠀⠀⠀ ⠀⠀⢀⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀ ⠐⠶⣿⣿⡿⠖⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣷⠀⠀⠀⠀⠀⠀ ⠀⠀⠈⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣰⣿⣿⣇⡀⠀⠀⠀⠀ ⠀⠀⠀⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠛⢿⣿⣿⡿⠟⠋⠉⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⠁⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⡇⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠇⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢀⣠⣿⣿⣿⣿⣧⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢠⣤⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣦⡤⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠉⠛⢿⣿⣿⣿⣿⣿⠟⠋⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣇⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣶⣿⣿⣆⣀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣿⡿⠉⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠃⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠢⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡄⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣷⡀⠀⠀⠑⢄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣧⠀⠀⠀⠀⠑⢄⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡠⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣿⣇⠀⠀⠀⠀⠀⠑⢄⣰⠉⠢⣀⠐⡀⢀⣀⠤⠐⠂⠉⠀⡼⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢠⣀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣆⠀⠀⠀⠀⠀⠀⠙⠀⠀⠈⠀⠈⠁⠀⠀⠀⠀⠀⣼⠁⠀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢴⣶⣾⣿⡟⠲⢤⣀⠀⠀⠀⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢨⣟⣁⣀⣀⣀⣀⣀⣀⣀⣀⡀⠀⠀⠀⠀⠀⢀⠀ ⠀⣨⣿⣿⣷⣄⠀⠈⠑⠢⠄⠛⠛⠿⠧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣤⠞⠁ ⠈⠉⠻⣿⣿⣿⣷⣄⠀⣤⣤⣤⣶⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣶⣿⡷⠂⠀⠀⠀⠀⢀⣀⣤⣶⣿⡿⠟⠁⠀⠀ ⠀⠀⠀⠈⢿⣿⣿⣿⣧⣿⣿⣿⡟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣴⣿⣿⣿⣿⠞⠁⣀⣤⣴⣾⣿⣿⣿⡿⠋⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠘⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⠆⢃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣴⣿⣿⣿⣿⣿⣿⣷⣾⣿⣿⣿⣿⣿⣿⠟⠉⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠘⣿⣿⣿⣿⣿⣿⣿⣿⡏⠀⠀⢆⠀⠀⢀⠀⠀⠀⠀⠀⠀⣨⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⡀⠀⠀⢈⣶⣶⣾⣿⣦⣤⠄⠀⠀⢠⣿⣿⣿⡿⠟⢻⣿⣿⣿⣿⣿⣿⣿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿⡿⣿⣿⣷⣄⠀⠀⠘⣿⣿⣿⣿⣿⣿⣁⣴⣿⡿⠟⠉⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⠒⠒⠒⠤⠤⠤⠀⢀⣀⡀⠀⠀⠀ ⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⡇⠈⢻⣿⣿⣿⣶⣶⣿⣿⣿⣿⣿⣿⡿⠛⠙⠃⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠷⣀⠀⠀ ⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⡇⠀⡸⠉⠻⢿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣤⣄⣀⣀⣠⣴⣿⣿⣿⣿⣿⣿⣿⣥⣤⣀⠀⠀⠀⠀⠀⠀⠀⣀⡌⠁⠀⠀ ⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣷⡀⡇⠀⠀⠀⡸⠙⠻⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⠋⠁⠀⣀⣠⡤⠖⠚⠉⠉⠁⠀⠀⠀ ⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣦⡀⠀⢀⠃⠀⠀⠀⠀⠀⢩⠉⠉⠉⠉⢻⠉⠉⣩⣿⣿⣿⣿⣿⣿⣿⣿⡷⠾⠛⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣜⡀⠀⠀⠀⠀⠀⡘⠀⠀⠀⠀⣼⣠⣾⣿⣿⣿⣿⣿⣿⣿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣦⣤⣤⣇⣀⣀⣤⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠈⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠙⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠸⣿⣿⣿⣿⠉⠙⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠃⠀⠀⠀⠀⠀⠉⠻⣿⣿⣿⣿⠿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣿⠏⠀⠀⠈⢿⣿⣿⣿⣿⣿⣿⣿⣿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣿⣿⣿⣿⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⠿⠟⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⬜⬜⬜⬜⬜⬜⬜🟨🟨🟨🟨🟨🟨🟨🟨🟨⬜⬜⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬜🟨🟨🟨🟨🟨🟨🟨🟨🟨🟨🟨🟨🟨⬜⬜⬜⬜⬜ ⬜⬜⬜⬜🟨🟨🟨🟨🟨🟨🟨🟨🟨🟨🟨🟨🟨🟨🟨⬜⬜⬜⬜ ⬜⬜⬜🟨🟨🟨🟨🟨🟨🟨🟨🟨🟨🟨🟨🟨🟨🟨🟨🟨⬜⬜⬜ ⬜⬜🟨🟥🟥🟨🟨🟨🟨🟨🟨🟨🟨🟨🟨🟨🟨🟨🟨🟨🟨⬜⬜ ⬜🟨🟨🟥🟥🟥🟨⬛🟨🟨🟨🟨🟨🟨🟨⬛🟨🟨🟨🟨🟨🟨⬜ ⬜🟨🟨🟥🟥🟥🟥🟥⬛🟨🟨🟨🟨🟨⬛⬛🟨🟨🟨🟨🟨🟨⬜ ⬜🟨🟨🟨🟥🟥🟥⬛⬛🟨🟨🟨🟨🟨⬛⬛🟨🟨🟨🟨🟨🟨⬜ 🟨🟨🟨🟨🟨🟥🟥🟥⬛🟨🟨🟨🟨🟨⬛⬛🟨🟨🟨🟨🟨🟨🟨 🟨🟨🟨🟨🟨🟥🟨⬛🟥🟨🟨🟨🟨🟨⬛⬛🟨🟨🟨🟨🟨🟨🟨 🟨🟨🟨🟨🟨🟨🟨⬛🟥🟨🟨🟨🟨🟨🟨⬛🟨🟨🟨🟨🟨🟨🟨 🟨🟨🟨🟨🟨🟨🟨🟨🟨🟥🟨🟨🟨🟨🟨🟨🟨🟨🟨🟨🟨🟨🟨 🟨🟨🟨🟨🟨🟨🟨🟨🟨🟨🟥🟨🟨🟨🟨🟨🟨🟨🟨🟨🟨🟨🟨 🟨🟨🟨🟨🟨🟨🟨🟨🟨🟨🟨🟨🟨🟨🟨🟨🟨🟨🟨🟨🟨🟨🟨 🟨🟨🟨🟨🟨🟨🟨🟨🟨🟨🟨🟨🟨🟨🟨🟨🟨🟨🟨🟨🟨🟨🟨 ⬜🟨🟨🟨🟨⬛🟨🟨🟨🟨🟨🟨🟨🟨🟨🟨🟨⬛🟨🟨🟨🟨⬜ ⬜🟨🟨🟨⬛⬛🟨🟨🟨🟨🟨🟨🟨🟨🟨🟨🟨⬛⬛🟨🟨🟨⬜ ⬜🟨🟨🟨🟨🟨⬛🟨🟨🟨🟨🟨🟨🟨🟨🟨⬛🟨🟨🟨🟨🟨⬜ ⬜⬜🟨🟨🟨🟨🟨⬛⬛⬛🟨🟨🟨⬛⬛⬛🟨🟨🟨🟨🟨⬜⬜ ⬜⬜⬜🟨🟨🟨🟨🟨🟨🟨⬛⬛⬛🟨🟨🟨🟨🟨🟨🟨⬜⬜⬜ ⬜⬜⬜🟨🟨🟨🟨🟨🟨🟨🟨🟨🟨🟨🟨🟨🟨🟨🟨🟨⬜⬜⬜ ⬜⬜⬜⬜⬜🟨🟨🟨🟨🟨🟨🟨🟨🟨🟨🟨🟨🟨🟨⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬜🟨🟨🟨🟨🟨🟨🟨🟨🟨🟨🟨⬜⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬜⬜⬜🟨🟨🟨🟨🟨🟨🟨⬜⬜⬜⬜⬜⬜⬜⬜
⬜⬜🟦🟦🟦⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜🟩⬜⬜⬜⬜⬜ ⬜🟦⬜⬜⬜🟦⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜🟩⬜⬜⬜⬜⬜ 🟦⬜⬜⬜⬜🟦⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜🟩⬜⬜⬜⬜⬜ 🟦⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜🟩⬜⬜⬜⬜⬜ 🟦⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜🟩⬜⬜⬜⬜⬜ 🟦⬜⬜🟦🟦🟦⬜🟥🟥🟥⬜⬜⬜⬜🟨🟨🟨⬜⬜⬜🟦🟦🟦⬜🟩⬜🟥🟥🟥⬜ 🟦⬜⬜⬜⬜🟦🟥⬜⬜⬜🟥⬜⬜🟨⬜⬜⬜🟨⬜🟦⬜⬜⬜🟦🟩🟥⬜⬜⬜🟥 🟦⬜⬜⬜⬜🟦⬜⬜⬜⬜⬜🟥🟨⬜⬜⬜⬜⬜🟨🟦⬜⬜⬜🟦🟩🟥🟥🟥🟥🟥 🟦⬜⬜⬜⬜🟦⬜⬜⬜⬜⬜🟥🟨⬜⬜⬜⬜⬜🟨🟦⬜⬜⬜🟦🟩🟥⬜⬜⬜⬜ 🟦⬜⬜⬜⬜🟦⬜⬜⬜⬜⬜🟥🟨⬜⬜⬜⬜⬜🟨⬜🟦🟦🟦🟦🟩🟥⬜⬜⬜🟥 ⬜🟦🟦🟦🟦⬜🟥⬜⬜⬜🟥⬜⬜🟨⬜⬜⬜🟨⬜⬜⬜⬜⬜🟦🟩⬜🟥🟥🟥⬜ ⬜⬜⬜⬜⬜⬜⬜🟥🟥🟥⬜⬜⬜⬜🟨🟨🟨⬜⬜🟦⬜⬜⬜🟦⬜⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜🟦🟦🟦⬜⬜⬜⬜⬜⬜⬜
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣠⣤⣤⣶⣶⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣶⣶⣤⣤⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣤⣶⣿⣿⣿⣿⣿⡿⠿⠿⠟⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠻⠿⠿⢿⣿⣿⣿⣿⣿⣶⣤⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣴⣾⣿⣿⣿⠿⠟⠋⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠙⠻⠿⣿⣿⣿⣷⣦⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢀⣴⣾⣿⣿⠿⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠿⣿⣿⣿⣦⡀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⣴⣿⣿⡿⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⢿⣿⣿⣷⡀⠀⠀⠀⠀ ⠀⠀⠀⣴⣿⣿⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢻⣿⣿⣦⡀⠀⠀ ⠀⢀⣾⣿⣿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣿⣿⣷⡀⠀ ⠀⣾⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣿⣷⡀ ⢸⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣇ ⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿ ⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿ ⢻⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⡟ ⠘⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⠃ ⠀⠘⣿⣿⣧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⣿⣿⠏⠀ ⠀⠀⠘⢿⣿⣿⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⣿⡿⠃⠀⠀ ⠀⠀⠀⠈⠻⣿⣿⣷⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣾⣿⣿⠟⠁⠀⠀⠀ ⠀⠀⠀⠀⠀⠈⠛⢿⣿⣿⣶⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣶⣿⣿⡿⠟⠁⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣤⣴⣾⣿⣿⡿⠟⠋⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣄⣀⣀⣀⣀⡀⠀⠀⠀⣀⣀⣀⣀⣠⣤⣤⣴⣶⣿⣿⣿⣿⡿⠿⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢀⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⠛⠛⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⣾⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⣀⣤⣾⣿⣿⡿⠋⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢠⣾⣿⡿⠁⠀⠀⠀⣀⣠⣤⣶⣿⣿⣿⡿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣿⣿⣿⣥⣶⣶⣾⣿⣿⣿⣿⠿⠟⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠙⠿⣿⣿⠿⠿⠛⠛⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣶⣦⡄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⣀⣀⣀⡀⢀⠀⢹⣿⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠙⠻⣿⣿⣷⣄⠨⣿⣿⣿⡌⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⣷⣿⣿⣿⣿⣿⣶⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣠⣴⣾⣿⣮⣝⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠈⠉⠙⠻⢿⣿⣿⣿⣿⣿⣿⠟⣹⣿⡿⢿⣿⣿⣬⣶⣶⡶⠦⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣀⣢⣙⣻⢿⣿⣿⣿⠎⢸⣿⠕⢹⣿⣿⡿⣛⣥⣀⣀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠈⠉⠛⠿⡏⣿⡏⠿⢄⣜⣡⠞⠛⡽⣸⡿⣟⡋⠉⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⠾⠿⣿⠁⠀⡄⠀⠀⠰⠾⠿⠛⠓⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠠⢐⢉⢷⣀⠛⠠⠐⠐⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣀⣠⣴⣶⣿⣧⣾⠡⠼⠎⢎⣋⡄⠆⠀⠱⡄⢉⠃⣦⡤⡀⠀⠀⠀⠀ ⠀⠀⠐⠙⠻⢿⣿⣿⣿⣿⣿⣿⣄⡀⠀⢩⠀⢀⠠⠂⢀⡌⠀⣿⡇⠟⠀⠀⢄⠀ ⠀⣴⣇⠀⡇⠀⠸⣿⣿⣿⣿⣽⣟⣲⡤⠀⣀⣠⣴⡾⠟⠀⠀⠟⠀⠀⠀⠀⡰⡀ ⣼⣿⠋⢀⣇⢸⡄⢻⣟⠻⣿⣿⣿⣿⣿⣿⠿⡿⠟⢁⠀⠀⠀⠀⠀⢰⠀⣠⠀⠰ ⢸⣿⡣⣜⣿⣼⣿⣄⠻⡄⡀⠉⠛⠿⠿⠛⣉⡤⠖⣡⣶⠁⠀⠀⠀⣾⣶⣿⠐⡀ ⣾⡇⠈⠛⠛⠿⣿⣿⣦⠁⠘⢷⣶⣶⡶⠟⢋⣠⣾⡿⠃⠀⠀⠀⠰⠛⠉⠉⠀⠀
⠀ ⠀ (\__/) (•ㅅ•) Don’t talk to _ノヽ ノ\_ me or my son `/ `/ ⌒Y⌒ Y ヽ ever again. (  (三ヽ人  /  | | ノ⌒\  ̄ ̄ヽ ノ ヽ___>、__/ |( 王 ノ〈 (\__/) /ミ`ー―彡\ (•ㅅ•) / ╰ ╯ \ / \>
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⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠄ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣄⡀⠀⠀⠀⠀⠀⠀⣀⣴⠟⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣾⣿⣿⣷⣀⣀⣤⣶⡾⠟⠁⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⣿⣿⣿⣿⣿⣏⠉⠉⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢀⣀⣄⠀⠺⣿⣿⣿⣿⡦⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢀⣤⣤⣶⣾⣿⡿⢿⣿⣿⠀⠀⠉⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠈⠛⠉⠉⢻⣿⣆⠈⢿⣿⣦⣠⣾⣿⣿⡟⠿⣶⣦⡀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠻⣿⣧⣤⣿⣿⣿⣿⣿⣿⡇⠀⠘⣿⣿⣆⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠘⢿⣿⠿⠛⢹⣿⣿⣿⡇⠀⠀⣿⣿⣿⡆⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣇⠀⠀⢻⣿⣿⣿⡄⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣦⠀⠈⣿⣿⣿⣿⣄⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⡷⠀⠘⣿⡿⠛⠁⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⠿⠟⠛⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⣠⣤⣴⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣦⣤⣄⠀⠀⠀ ⠀⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⠀ ⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇ ⢸⣿⣿⣿⣿⣿⡿⠟⠛⠛⠛⠛⠿⣿⣿⣿⣿⣿⣿⠿⣿⣿⣿⣿⣿⡇ ⢸⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠈⢿⣿⣿⠋⠀⠀⢸⣿⣿⣿⣿⡇ ⢸⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⠀⠀⠀⢸⣿⣿⣿⣿⡇ ⢸⣿⣿⣿⣿⣇⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⣿⣄⠀⠀⢸⣿⣿⣿⣿⡇ ⢸⣿⣿⣿⣿⣿⣷⣦⣤⣤⣤⣤⣶⣿⣿⣿⣿⣿⣿⣶⣿⣿⣿⣿⣿⡇ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇ ⠈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁ ⠀⠙⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠋⠀ ⠀⠀⠀⠙⠛⠻⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠟⠛⠋⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⢀⣠⣤⣤⣶⣶⣶⣶⣤⣤⣄⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⣤⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣤⡀⠀⠀⠀⠀ ⠀⠀⠀⣴⣿⣿⣿⣿⡿⠿⠿⠿⠿⠿⠿⣿⣿⣿⣿⣿⣿⣿⣦⠀⠀⠀ ⠀⢀⣾⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣿⣿⣿⣿⣿⣷⡀⠀ ⠀⣾⣿⣿⣿⣿⣿⣿⠀⠀⢸⣿⣿⣿⣷⣄⠀⠀⢻⣿⣿⣿⣿⣿⣷⠀ ⢠⣿⣿⣿⣿⣿⣿⣿⠀⠀⢸⣿⣿⣿⣿⣿⠀⠀⢸⣿⣿⣿⣿⣿⣿⡄ ⢸⣿⣿⣿⣿⣿⣿⣿⠀⠀⠸⠿⠿⠿⠟⠃⠀⢀⣾⣿⣿⣿⣿⣿⣿⡇ ⠘⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⢤⣾⣿⣿⣿⣿⣿⣿⣿⠃ ⠀⢿⣿⣿⣿⣿⣿⣿⠀⠀⢸⣿⣿⣷⡄⠀⠀⠻⣿⣿⣿⣿⣿⣿⡿⠀ ⠀⠈⢿⣿⣿⣿⣿⣿⠀⠀⢸⣿⣿⣿⣿⣦⠀⠀⢹⣿⣿⣿⣿⡿⠁⠀ ⠀⠀⠀⠻⣿⣿⣿⣿⣷⣶⣿⣿⣿⣿⣿⣿⣷⣶⣿⣿⣿⣿⠟⠀⠀⠀ ⠀⠀⠀⠀⠈⠛⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠛⠁⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠈⠙⠛⠛⠿⠿⠿⠿⠛⠛⠋⠁⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⠟⠻⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣦⣴⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⣿⣿⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⣀⣤⣤⣤⣤⣤⣤⣤⣤⣴⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣼⣿⠟⠛⠛⠛⠛⠛⠛⠛⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢻⣿⣦⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣀⠀ ⠀⠉⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠻⣿⣧ ⠀⠀⠀⠀⠀⣀⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣴⣿⡟ ⠀⠀⠀⠀⣼⣿⠟⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠉⠀ ⠀⠀⠀⠀⢻⣿⣦⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠉⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠀⠀⠀⠀⠀⠀
⠀⣀⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣀⠀ ⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆ ⢸⣿⣿⣿⣿⣿⡿⠛⠉⠙⠻⣿⣿⣿⣿⣿⣿⣿⠉⠉⢻⣿⣿⣿⣿⡇ ⢸⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⢹⣿⣿⣿⡟⠛⠛⠀⠀⠘⠛⠛⣿⣿⡇ ⢸⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⣸⣿⣿⣿⣇⣀⣀⠀⠀⢀⣀⣀⣿⣿⡇ ⢸⣿⣿⣿⣿⣿⣷⣦⣤⣴⣾⣿⣿⣿⣿⣿⣿⣿⠀⠀⢸⣿⣿⣿⣿⡇ ⢸⣿⣿⣿⣿⣿⣿⠿⠿⠿⢿⣿⣿⣿⣿⣿⣿⣿⠀⠀⢸⣿⣿⣿⣿⡇ ⢸⣿⣿⠛⠁⠀⠀⠀⠀⠀⠀⠀⠈⠙⢿⣿⣿⣿⠀⠀⢸⣿⣿⣿⣿⡇ ⢸⣿⣿⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣼⣿⣿⣿⣀⣀⣼⣿⣿⣿⣿⡇ ⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇ ⠀⠉⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠉⠀
⠀⠀⠀⣀⡀⠀⠀⠀⠀⠀⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢀⡆⢸⣿⣿⠀⢀⠀⠀⣼⣿⣿⣧⠀⢀⣤⣤⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣸⣇⠘⠿⠟⢀⣼⡆⠀⣿⣿⣿⣿⠀⢸⣿⣿⣿⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀ ⢹⣿⣷⣶⣶⣿⣿⣇⣀⣿⣿⣿⡿⠶⠾⣿⣿⣿⣀⣀⣾⣿⣿⡆⠀⠀⠀⠀ ⠸⣿⣿⣿⣿⣿⡿⠛⠛⠛⣿⣿⡇⠀⠀⣿⣿⡟⠛⠛⢻⣿⣿⡇⠀⣤⣤⡄ ⠀⢻⣿⣿⣿⣿⣧⡀⠀⢀⣿⣿⣷⣶⣶⣿⣿⣇⠀⠀⣸⣿⡿⠿⠿⢿⣿⣿ ⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⢸⣿⡿ ⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇ ⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠁⠀ ⠀⠀⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀ ⠀⠀⠈⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀ ⠀⠀⠀⠈⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀ ⠀⠀⠀⠀⠈⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠀⠀⠀
⠀⠀⠀⠀⠀⢀⣼⢿⣟⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⣻⡿⣧⡀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢠⣾⠃⠈⢿⣆⣀⣀⣀⣀⣀⣀⣀⣀⣰⡿⠁⠹⣷⡀⠀⠀⠀⠀ ⠀⠀⠀⣠⡿⠃⠀⠀⣰⣿⣯⠉⠉⠉⠉⠉⠉⣽⡟⠀⠀⠀⠘⣿⡄⠀⠀⠀ ⠀⠀⣰⡿⠁⠀⢀⣼⡟⠀⢻⣷⣶⣶⣶⣶⣾⡟⠀⠘⣷⡄⠀⠘⣿⡄⠀⠀ ⠀⠀⠈⠀⠀⢀⣼⠏⠀⢠⣿⠛⣷⡄⢀⣾⠟⣿⡄⠀⠘⣷⡄⠀⠈⢿⣄⠀ ⢠⣤⣤⣤⣤⣾⣯⣤⣤⣿⣥⣤⣼⣿⣾⣧⣤⣬⣿⣤⣤⣼⣷⣤⣤⣬⣿⡆ ⠈⢿⣍⠉⠉⢻⣯⠉⠉⢻⣯⠉⣹⡿⢻⣏⠉⣽⡟⠉⠉⣽⡟⠉⠉⣩⡿⠁ ⠀⠈⢿⣆⠀⠀⠹⣷⡀⠀⠹⣷⡟⠁⠀⠻⣿⠏⠀⢀⣾⠏⠀⠀⣰⡿⠁⠀ ⠀⠀⠀⢻⣆⠀⠀⠙⣷⣀⣼⠟⠀⠀⠀⠀⠹⣷⣀⣾⠋⠀⠀⣰⡟⠀⠀⠀ ⠀⠀⠀⠀⢻⣧⠀⠀⠘⠿⠿⠶⠶⠶⠶⠶⠶⠿⣿⡇⠀⠀⣼⡟⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢻⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣆⣼⡟⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠹⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠏⠀⠀⠀⠀⠀⠀
⢀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⡀ ⢈⣉⣉⣉⣉⣉⣉⣉⣉⣉⣉⣉⣉⣉⣉⣉⣉⣉⣉⣉⣉⣉⣉⣉⣉⣉⣉⡁ ⠈⠉⠉⠉⠉⠉⠉⠉⠛⢯⡉⠉⠉⠉⠉⠉⠉⢉⡽⠛⠉⠉⠉⠉⣉⡉⠉⠁ ⠀⠀⢰⡟⢳⡄⠀⠀⠀⠈⠻⢦⣤⣤⣤⣤⡴⠟⠁⠀⣀⣀⠀⠀⠛⠃⠀⠀ ⠀⠀⠀⠛⠾⠋⠀⠀⣠⡄⠀⠀⠀⣀⣀⠀⠀⠀⠀⣾⣋⣿⠀⠀⠀⠀⠀⠀ ⠀⠀⢀⣀⠀⠀⠀⠀⠙⠋⠀⠀⢾⣏⣹⡷⠀⠀⠀⠉⠋⠁⠀⠀⠀⠀⠀⠀ ⠀⠀⠘⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠀⠀⠀⠀⠀⣠⣄⠀⠀⢀⣤⡀⠀ ⠀⠀⠀⠀⠀⠺⠿⠀⠀⢀⣴⠞⠛⠛⠛⠛⠳⣦⡀⠀⠉⠉⠀⠰⣯⣨⠟⠀ ⢀⣀⣀⣀⣀⣀⣀⣀⣤⣞⣁⣀⣀⣀⣀⣀⣀⣈⣳⣤⣀⣀⣀⣀⣈⣁⣀⡀ ⢈⣉⣉⣉⣉⣉⣉⣉⣉⣉⣉⣉⣉⣉⣉⣉⣉⣉⣉⣉⣉⣉⣉⣉⣉⣉⣉⡁ ⠈⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠁
⠀⠀⠀⠀⣿⣿⣿⣿⣷⣶⣶⣶⣶⣶⣦⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣦ ⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏ ⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⣿⠿⢿⠿⠿⠛⠛⠉⠉⠈⠉⠀ ⠀⠀⣠⣼⣿⣿⣿⣿⣿⣿⠟⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢴⣿⣿⣿⣿⡿⠛⠋⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠈⠿⠿⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣰⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠉⠛⠛⠛⠛⠛⠛⠛⠛⠛⢛⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⣿⣿⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⣿⣿⣿⠏⠀⢀⣴⣶⣶⣄⠀⠀⠀⣠⣶⣾⣿⣿⣿⣿⣿⣿⣿⣷⣶⡀⠀⠀⠀⠀⠀⠀⠀⣀⡀⠀⠀⠀⠀⣠⣾⣿⣿⣿⣿⣦⡄⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⡏⠀⠀⢸⣿⣿⣿⣿⠀⢀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⢠⣿⣿⣿⣧⠀⠀⣼⣿⣿⣿⠿⢿⣿⣿⣿⡆ ⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⡟⠀⠀⠀⠈⠛⠿⠟⠋⠀⢸⣿⣿⣿⠋⠉⠉⠉⠉⠉⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⠀⠀⣿⣿⣿⣇⠀⢀⣿⣿⣿⡇ ⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⡟⠀⠀⠀⣠⣶⣿⣿⣷⣶⣄⢸⣿⣿⣿⣦⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣄⡀⠀⠀⢸⣿⣿⣿⣿⠀⠀⠹⣿⣿⣿⣿⣿⣿⣿⣿⠃ ⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⡟⠀⠀⢀⣾⣿⣿⣿⣿⣿⣿⣿⣷⡙⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠀⠀⢸⣿⣿⣿⣿⠀⠀⠀⠙⠻⢿⣿⣿⠿⠛⠁⠀ ⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⡿⠁⠀⠀⠸⣿⣿⡿⠋⠈⠹⣿⣿⣿⣷⠀⠉⠛⠛⠛⠛⠛⢻⣿⣿⣿⠟⢻⣿⣿⣿⠀⠀⢸⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣰⣿⣿⣿⣿⣿⣥⣤⣤⣤⣤⣤⣭⣤⣤⣤⣼⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⠏⠀⢸⣿⣿⣿⠀⠀⢸⣿⣿⣿⣿⣤⣤⣤⣤⣤⣤⣤⣄⣀⠀⠀⠀ ⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠃⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣶⣶⣿⣿⣿⣿⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⠀⠀ ⠀⠀⠀⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠛⠁⠀⠀⠀⠀⠀⠀⠀⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠃⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣶⣿⣿⣷⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣠⣶⣿⣿⣶⣄⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣤⣤⣤⣤⣤⣤ ⠀⠀⣸⣿⣿⣿⣿⣿⣿⣇⠀⠀⠸⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣶⣿⡿⠛⢉⣿⡿⠟⠉⠀ ⠀⠀⢹⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀⠙⠿⢿⣿⠿⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣤⣶⣿⣿⡿⠛⠁⢀⣴⣿⠟⠀⠀⠀⠀ ⠀⠀⠀⠙⢿⣿⣿⡿⠛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⣤⣤⣤⣶⣶⣶⣾⣿⣿⣿⣿⣿⡿⠋⠀⢀⣴⣿⣿⡏⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⢀⣴⣾⣿⣷⣦⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠋⠀⠀⢀⣾⣿⣿⣿⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣠⣾⠇⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⢀⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣰⣿⣿⠀⠀⠀⠈⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⣾⣿⣿⣿⣿⣿⣇⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢰⣿⣿⡇⠀⠀⠀⠀⠈⠻⢿⣿⡿⠟⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⣿⣦⡀⠀⠀⠀ ⠀⠀⠀⠀⠀⣿⣿⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⠀⠀ ⠀⠀⠀⠀⠀⢿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠋⠁⠀⠀ ⠀⠀⠀⠀⠀⠸⣿⣿⣿⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠙⢿⣿⣿⣿⣷⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠛⠛⠛⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀⠀⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠙⠻⠿⣿⣿⣿⣿⣷⣶⣶⣶⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢀⣤⣴⣶⣶⡶⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠛⠻⣿⡟⠀⠀⠀ ⠀⠀⠀⠀⠀⣠⣾⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠀⠀⠀⠈⠇⠀⠀⠀ ⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣧⡀⠀⠀⠀⠀⠀⠀⠀⠾⠿⠿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣦⣤⡤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣿⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀ ⣀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⣿⣿⣿⡟⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀ ⠉⠙⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⡟⠀⠀⠀⢀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠈⠙⢿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⠟⠀⠀⠀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠟⠛⠿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠙⢿⣿⣿⣿⣿⣿⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⡿⠋⠀⠀⣠⣾⣿⣿⣿⣿⣿⣿⡿⠟⠉⠀⠀⠀⠀⠀⠈⢻⠇⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣿⣿⣿⣿⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⣿⠟⠁⢀⣴⣾⣿⣿⣿⣿⣿⡿⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠻⣿⣿⣿⣿⣿⣷⣶⣤⣤⣤⣴⣶⣿⣿⣿⣁⣤⣾⣿⣿⣿⣿⣿⠿⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠙⠛⠛⠛⠛⠛⠛⠋⠉⠛⠿⢿⣿⣿⣿⡿⠿⠟⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
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