Cat Scratch Fever Emoji Combos

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⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⠁⠈⢷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⠀⠀⠘⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⠖⢶⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡄⣤⠴⢿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠇⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣇⠀⠀⠈⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⠷⠦⠤⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⢻⡆⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⠀⠀⢰⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⡆⠒⠊⠘⣷⠾⢷⠲⣤⡶⢶⣶⣤⣼⠉⠉⠁⣾⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⡇⠀⠀⠰⡇⠀⠀⢀⣿⠀⠀⠀⢸⡏⠀⠀⢠⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣧⠀⠀⠨⡇⠀⢀⣈⣿⣴⣦⠀⢸⡇⠀⠀⢼⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠷⣾⣿⡷⠞⢻⣏⢁⣀⣼⠀⡿⠉⠉⠙⢻⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⢇⣠⠟⠃⠀⠀⠀⢙⣫⡟⠻⣦⡇⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡟⠻⠋⠀⠀⠀⣠⣖⣿⣿⣧⣤⣿⡃⠀⠀⠀⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣧⠀⠀⠀⢀⣴⠟⢷⣾⢹⣻⣿⠋⠙⠓⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣇⠀⣀⣠⡿⠀⠀⠀⠀⠯⠇⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣆⠩⠅⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣷⠶⣶⣶⣖⡒⠒⠶⣦⣄⣠⠤⣾⡃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣼⣿⣷⣶⣤⣼⣧⣤⣤⣤⣼⣾⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠑⠿⣭⣉⣽⡿⠟⢻⣿⡿⠿⣿⡿⠿⣿⣿⣉⣓⡶⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⡿⠛⠛⠛⠛⠛⠛⠛⠛⢻⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡟⠁⠀⠀⠀⠀⠀⠀⠀⠀⢸⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⢾⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣤⣠⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤ ⣿⣿⡿⠏⡟⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⢀⡶⠛⠛⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠈⣇⠀⠀⢸⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⣿⠀⠀⠀⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢹⡄⠀⠀⢻⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⠟⠲⡆ ⠀⠸⡇⠀⠀⠘⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⡏⠀⢠⡟ ⠀⠀⣧⠀⠀⠀⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡾⠀⠀⢸⠃ ⠀⠀⢹⠀⠀⠀⢹⣧⣶⣿⠛⠳⣦⢠⡴⡖⠶⢦⡀⢰⠇⠀⠀⣿⠀ ⠀⠀⢸⡆⢀⣠⡾⣿⡿⠛⣷⠀⢹⣿⠁⠀⠀⠈⣿⣿⠀⠀⠀⡏⠀ ⠀⠀⢀⣿⢿⠉⠏⠋⠁⣴⠟⠀⠈⣿⠀⠀⠀⢀⣿⠀⠀⠀⢸⠇⠀ ⠀⠀⣾⠁⠈⠀⠀⢀⣶⠋⠀⠀⠀⣿⠀⠀⠀⢸⡇⠀⠀⠀⢸⠀⠀ ⠀⠀⢿⠀⠀⠀⢰⡟⢹⣾⠿⠛⣶⣿⡶⠛⢳⣼⠇⠀⠀⠀⢸⠀⠀ ⠀⠀⢸⣆⠀⠀⠀⢻⡼⣿⡄⡂⣻⣿⡇⢐⢴⣿⠀⠀⠀⠀⣿⠀⠀ ⠀⠀⠀⢻⡄⠀⠀⠀⢻⡎⠛⠛⠋⠀⠝⠛⠛⠁⠀⠀⠀⠀⡇⠀⠀ ⠀⠀⠀⠀⣧⠀⠀⠀⠘⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⡇⠀⠀ ⠀⠀⠀⠀⠸⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠐⠀⠀ ⠀⠀⠀⠀⠀⢻⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⠃⠀⠀⠀ ⠀⠀⠀⠀⠀⠘⠓⠶⠤⣤⣤⣤⣤⣤⣤⣤⣤⡤⠴⠞⠋⠀⠀⠀⠀

⡶⠛⢲⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣇⠀⠀⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢹⠀⠀⢻⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡤⢤⡀ ⠸⡆⠀⠘⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡼⠀⢸⠇ ⠀⣇⠀⠀⢷⠀⣀⣄⣀⠀⢀⣀⡀⠀⢠⠇⠀⢸⠀ ⠀⢹⠀⢀⣼⣿⡿⣆⠈⣷⠏⠉⠉⣷⣾⠀⠀⡏⠀ ⠀⣸⢷⠟⠛⠋⢰⠏⠀⣿⠀⠀⠀⣿⠀⠀⢠⡇⠀ ⠀⡏⠀⠀⢀⡴⣏⣀⣀⣿⣄⣀⡀⡇⠀⠀⢸⠁⠀ ⠀⢳⠀⠀⠘⣧⣿⡉⠸⣿⡏⢀⣿⠃⠀⠀⢸⠀⠀ ⠀⠈⣧⠀⠀⠘⣟⠛⠚⠃⠙⠚⠛⠀⠀⠀⣾⠀⠀ ⠀⠀⠸⡄⠀⠀⠉⠀⠀⠀⠀⠀⠀⠀⠀⢠⡇⠀⠀ ⠀⠀⠀⢻⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡼⠀⠀⠀ ⠀⠀⠀⠘⠣⠤⠤⠀⣀⣀⣀⡀⠤⠤⠖⠃⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠶⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠸⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠴⢷⠀⠀⠀⠀⠀⠀⠀⠀⠀⡼⠃⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡄⠀⠘⡆⠀⠀⠀⠀⠀⠀⠀⣰⠓⠂⣾⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⡇⠠⠄⢿⣤⣤⣀⣀⣀⣀⢠⠿⠤⢀⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⠀⠀⢸⠁⠀⢘⠇⠈⠉⣿⠀⠀⣸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡀⢀⣸⠀⣀⣼⠦⢦⠀⣇⣀⣀⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠛⣿⠟⠋⠹⠧⣤⣾⣀⠃⠀⠈⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⠷⠟⠁⠀⢀⣤⣾⣯⣈⣿⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡄⠀⠀⢠⡿⢻⠟⣟⣿⠋⠓⠂⢸⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⡄⢤⠜⠀⠀⠀⠙⠃⠀⠀⠀⣼⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢳⣤⣀⣀⡤⠤⢄⣀⡀⣀⣠⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣸⣿⣾⣭⣽⣤⣤⣭⣽⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠻⢬⣽⣟⣻⣿⡟⣿⣟⣻⣿⣭⡽⠗⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣿⡿⢿⣿⣿⣿⣿⢿⡟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡏⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠟⠀⠀⠀⠀⠀⠀⠀⠸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣶⣶⣶⣶⣶⣶⣶⣶⣾⣿⣿⣿⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣾⣿⣿⣶⣶⣶⣷⣶⣶⣾⣷⣾ ⣿⣿⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⠀⢀⣤⣤⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢠⣿⠋⠀⠀⢧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⣿⠀⠀⠀⠸⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⣿⣦⣀⡠⢤⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⠟⠉⢳⡄ ⠀⣿⣿⠉⠀⠀⢹⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⡏⠀⠀⣾⠃ ⠀⣿⣿⠀⠀⠀⠈⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⠀⠀⢰⡟⠀ ⠀⣿⣿⡆⠀⣀⡀⢿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣶⣤⣾⠁⠀ ⠀⢻⣿⣿⠟⠋⠉⣿⣇⢀⣀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⡿⠀⠀⢸⡇⠀⠀ ⠀⢸⣿⣿⠀⠀⠀⢻⡟⠁⠘⠂⠀⠈⢣⣀⣠⠤⢤⣀⡀⠀⠀⢀⣾⣿⠇⠀⢀⡿⠁⠀⠀ ⠀⠘⣿⣿⣧⣤⡤⣼⣧⠀⠀⠀⠀⠀⣮⡟⠑⠶⣤⡀⠙⣆⢀⣾⣿⡾⣿⣦⣾⠃⠀⠀⠀ ⠀⠀⣿⣿⣿⠁⢀⣿⣿⣆⠀⠀⣠⣾⡟⠀⠀⠀⠈⢱⡄⢸⣿⣿⠏⠀⠀⣼⠇⠀⠀⠀⠀ ⠀⠀⢹⣿⣿⣷⣾⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀⠀⢠⣿⡃⣼⡿⠧⢄⡀⣼⡟⠀⠀⠀⠀⠀ ⠀⠀⢸⣿⣿⡿⠋⠿⠉⠉⣿⠋⠉⠉⢳⡄⠀⢠⣿⣿⣿⡟⠀⠀⠀⢹⡟⠀⠀⠀⠀⠀⠀ ⠀⠀⢠⣿⠏⠀⠀⢀⠀⠀⠙⠢⣤⣶⣿⠃⢠⣿⣿⣿⠏⠀⠀⠀⠀⣾⠃⠀⠀⠀⠀⠀⠀ ⠀⠀⣼⡟⠀⠀⠀⠘⣿⣿⣿⣿⣟⠋⠀⣲⣿⣿⡿⠯⣙⠲⠤⡀⢸⡏⠀⠀⠀⠀⠀⠀⠀ ⠀⣸⣿⡇⠀⠀⠀⠀⠲⣿⡟⠁⠈⢷⣾⣿⣿⣿⣇⠀⠀⠙⠒⠂⣽⡇⠀⠀⠀⠀⠀⠀⠀ ⠀⣿⣿⣧⡀⠀⠀⠤⠴⣿⣦⣄⣠⣾⣿⣿⣿⠋⠛⠷⠤⣀⡀⢀⣿⠃⠀⠀⠀⠀⠀⠀⠀ ⠀⣿⣿⣿⣧⠀⠀⠀⠐⢹⣿⣿⣿⡿⢿⣿⠃⠀⠀⠀⠀⠀⠀⢸⡟⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢹⣿⣿⣿⣷⣄⠀⣰⣿⣿⠟⠉⠀⢸⡇⠀⠀⠀⠀⠀⠀⢀⣾⠃⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠈⢿⣿⣿⣿⡿⠿⠋⠁⠀⠀⠀⠀⡾⠁⠀⠀⠀⠀⠀⢀⣾⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠈⢿⣿⣿⣷⣤⣀⣀⣀⣀⣠⣾⣿⣶⣦⣤⣤⣴⣾⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠻⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠉⠉⠉⠉⠉⠉⠉⠈⠉⠉⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

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⢠⡟⠉⠱⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠸⣧⣀⣀⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠖⢄ ⠀⣿⠁⠀⢡⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⠇⠀⡏ ⠀⣿⣆⣀⣘⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡿⠦⣼⠁ ⠀⢻⣿⠁⠸⡗⠲⠄⠒⡀⣀⣀⡀⠀⢀⣾⠃⢀⡏⠀ ⠀⢸⣿⡖⢲⣧⠀⠀⣰⠞⠐⠲⡈⢆⣾⠗⠓⡞⠀⠀ ⠀⠈⣿⣷⣾⣿⣷⣾⣟⠀⠀⢠⣇⡾⠯⢄⡼⠁⠀⠀ ⠀⠀⣿⠋⠈⠀⠘⢄⣠⡇⢠⣿⡿⠁⠀⢰⠃⠀⠀⠀ ⠀⣰⡏⠀⠀⣻⣿⠿⣍⣰⣿⡟⠪⢐⡀⡏⠀⠀⠀⠀ ⠀⣿⣧⠀⠀⢴⣧⣄⣾⣿⡟⠓⠢⠀⢠⡇⠀⠀⠀⠀ ⠀⢿⣿⣧⡀⢠⣿⠟⠋⡟⠀⠀⠀⠀⣸⠀⠀⠀⠀⠀ ⠀⠘⣿⣿⣛⠉⠀⠀⣠⣇⡀⢀⣀⣴⡏⠀⠀⠀⠀⠀ ⠀⠀⠈⠻⣿⣿⣿⣿⣿⣿⣿⣿⠿⠋⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠃⠘⡀⠀⠀⠀⠀⠀⢀⢤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠈⢣⠀⠀⠀⠀⢀⠧⠸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⡀⠘⡤⠤⡤⠤⡜⠂⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⣀⣀⣰⠤⢀⣁⣸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣯⠋⠁⣑⡞⣼⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⡀⠀⡜⠟⣿⠃⠂⠘⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢣⡋⢀⣀⡀⠀⢀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡴⣷⣯⣧⣬⣽⡿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣿⡾⣷⣿⣾⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡿⠀⠀⠀⠀⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀ ⣿⣯⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⡖⠒⢶⡄ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠁⠀⠀⡧⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠇⠀⠀⣸⡇⣾ ⠀⣀⣠⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡞⠀⠀⣀⣿⢇⣿ ⣾⠏⠀⢠⡽⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⠃⠺⢿⣿⣿⣼⠃ ⢿⠀⠀⠀⢻⣹⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡟⠀⠀⠈⢹⡗⣸⠀ ⠘⡇⠀⠀⠸⣿⢷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⠀⠀⢀⢠⣿⢱⡇⠀ ⠀⢹⡄⠀⣜⣿⡟⢷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡟⢶⣶⣛⣛⣿⣿⠁⠀ ⠀⠀⢿⡔⠛⠛⢻⣆⠹⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⠀⠀⠈⠉⣶⠂⡏⠀⠀ ⠀⠀⠀⢳⡀⠀⠀⢿⡆⢻⡄⠀⠀⠀⠀⠀⠀⠀⢀⣤⠴⠶⣤⣤⣀⠀⢰⠃⠀⠀⠀⠴⡿⢸⠃⠀⠀ ⠀⠀⠀⠈⢧⠠⠤⠿⣿⡄⢿⡀⣠⡴⠞⠛⣻⢾⡉⠁⠀⠐⢯⣾⣭⢷⣿⠀⢤⣀⣰⣾⢧⡏⠀⠀⠀ ⠀⠀⠀⠀⠘⣆⠀⠀⣈⣷⡘⡿⠁⠀⠀⢸⣷⠿⣿⡟⣷⣶⢼⣼⣿⣿⡇⠀⣀⢽⣿⡿⡿⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠸⣇⠀⢹⣿⣇⡇⠀⠀⣤⣾⣿⣿⢹⣧⣤⣍⡿⠀⠀⠉⣩⣿⡫⣿⣿⣗⡇⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣹⠙⠛⢩⣯⢿⡄⠀⠉⣸⣿⡼⡄⠙⠻⠿⠃⠀⠀⠀⣾⣏⣽⣻⠿⣾⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠠⡏⠀⠀⠀⣶⡟⣧⠀⠈⢻⣿⡳⣿⣷⡦⣤⣥⣰⣶⣾⡇⣩⡽⣿⣶⣿⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢹⣠⣴⢿⡿⣿⣾⡦⣤⣴⣶⣻⣿⣿⣿⣶⣾⣿⣿⡗⠈⠛⢷⣿⠾⣻⡀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢠⡟⠀⠀⠀⡙⣟⣿⢻⡸⣿⣿⣯⣿⣿⣿⣽⣿⣿⣿⡳⠤⠄⠈⠻⣿⡏⡇⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⣧⢿⣿⣶⢷⢹⣿⣿⣿⣿⣿⡟⣿⣿⣿⣍⠃⠀⢌⣼⣿⣯⡇⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠸⢧⠀⠀⠀⠉⠛⣹⣷⣾⢿⣿⣿⣿⣿⣷⣿⣽⣿⡟⢿⣷⢤⡚⣻⡿⣼⠃⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢸⣤⡄⠀⠀⠀⢩⣿⣿⣟⣸⠻⣞⣿⡿⡿⠙⠙⠳⠀⠑⠐⣿⣿⣰⡏⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣿⡇⠀⠀⠀⠈⠉⢿⡇⣿⢹⠀⠉⠁⠀⠀⠀⠀⠀⣾⣿⣿⣷⡏⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢻⣿⡀⠀⠀⠀⠀⣼⣿⠘⡇⠀⠀⠀⠀⠀⠀⠀⣀⣽⣿⣷⡟⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠸⡇⠁⠀⠀⣠⣠⣿⣿⡀⠳⠀⡤⣶⣶⡄⠠⠤⠤⣹⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣇⠀⠀⠒⠿⠯⠽⠛⣠⣤⣾⣿⠿⢿⡭⠤⠬⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢻⠀⠶⠤⠤⠤⠴⠾⢿⡿⠋⠉⠑⠺⠛⠛⢻⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠸⣆⠀⠀⠀⠀⢶⣾⣿⠗⠶⠶⠶⣞⣓⣻⢿⣿⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠤⠤⠤⢼⣿⡯⣀⣀⡀⠀⠀⣰⣾⣿⣿⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⢾⣿⣿⡋⠉⠀⠀⣾⣽⣿⣏⠋⣾⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠙⠛⠁⠀⠀⠀⠀⠀⣿⣿⣷⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⢿⣇⢾⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⠗⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⢀⣤⣶⣿⣿⣶⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢠⣿⣋⣼⠟⠿⠿⣿⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣼⣧⣬⡛⠀⠀⠀⠈⢿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣴⣿⣿⣷⣦⡀ ⢿⣿⣿⣷⡤⠀⠹⢷⣼⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⣿⣿⣿⣿⣿⣷ ⢸⣿⣿⠄⠀⠁⠀⠀⠙⣿⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⡏⠒⠟⢻⣿⣿ ⠀⣿⣿⣧⠀⠀⠀⠀⠀⡿⣿⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⠃⠀⠀⢸⣿⣿ ⠀⠸⣿⣿⣶⣠⣤⠶⠾⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⣿⡇⠀⠀⢀⣾⣿⡟ ⠀⠀⢻⣿⣧⡀⠀⠀⠀⠉⢹⣿⣿⣷⡀⠀⠀⠀⣀⣤⡶⢾⡿⡶⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⢻⣿⢿⢀⠀⢀⣸⣿⣿⠃ ⠀⠀⠈⣿⣿⣿⠁⠀⣀⣠⡼⠿⣿⣿⣷⣤⣶⣿⣋⣥⣶⣾⣿⣷⣾⣿⣦⣄⠀⠀⣀⡀⠀⠀⣸⠏⣾⣿⠀⠀⠈⢻⢿⢙⡿⠀ ⠀⠀⠀⠘⣿⡿⢿⣿⣷⣯⡀⠀⠈⢻⣿⣶⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣛⣛⣿⣿⣶⣿⣾⣿⡇⠀⠀⠀⣸⣷⣾⠃⠀ ⠀⠀⠀⠀⠸⣷⣦⡀⠉⠉⠁⠀⠀⠀⢸⣿⠁⠈⠨⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⣿⣿⣿⡿⢿⣷⣶⣤⣄⣉⣿⠏⠀⠀ ⠀⠀⠀⠀⠀⢹⣿⣷⣤⣤⣀⣠⢴⣆⠈⣿⣶⠂⠀⣩⣿⣿⣿⣟⣿⣿⣿⣿⣿⣯⡁⠀⠹⣿⣿⣿⣄⠠⣈⣉⣭⣽⡟⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢻⣿⣿⡛⠉⠀⠀⠁⠀⠹⣿⠀⠀⠶⣿⣿⣿⣿⠍⠃⢾⣿⣿⣷⡛⢧⠀⠘⢿⡿⠃⠀⠐⢿⣿⡿⠁⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠈⣿⣿⣿⡅⠀⠀⠀⠀⠀⣿⣦⠤⣒⣿⣿⣿⣿⠤⠀⢸⣿⣿⣿⣿⣿⣿⣷⣾⣧⠠⠀⠀⣷⣿⠁⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠸⣷⡄⠻⣄⠀⠀⢀⣠⣿⣿⣿⣷⣾⠛⠛⠻⠿⣒⣼⣿⣿⣷⡞⠧⠬⣙⣿⣿⡾⠀⠀⠈⣿⡇⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣿⡇⠀⠘⠂⢡⡀⠙⣿⣿⣿⡟⠛⠂⠀⣤⠄⠀⠹⣿⣿⣭⠁⠀⠀⠀⠈⣿⠧⠤⠴⣊⣿⡇⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣿⠹⡆⢸⡄⠀⢿⣿⣿⡿⢻⣿⣦⣀⠚⠉⠁⠀⢨⣿⡟⠉⠓⠶⡄⠀⢠⣿⣤⡀⢀⣼⣿⡇⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢸⡄⠘⠀⠻⡄⠸⣿⣿⡷⠀⠉⢻⣿⡍⠓⠒⢛⣿⣿⠏⠀⠀⠀⢲⣮⣿⡿⠣⠀⢺⣿⡿⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⢲⡀⠀⠘⣾⣿⡿⡆⠀⠀⠀⢭⣳⠄⠀⣼⣿⣏⠀⠀⠀⠈⢻⣿⠿⠀⠀⠀⢹⣿⠃⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣄⣷⡄⢰⣿⣿⢷⡘⠤⠈⢓⣠⠈⠀⢸⣿⣿⠉⠙⢆⠀⣠⡿⠀⠀⠀⠀⣶⣿⡏⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⡏⢿⣷⣾⣿⣇⠀⠑⢤⠠⡌⠀⢀⣤⣿⣯⠈⣆⠀⠈⣿⣿⠢⠤⠤⠤⣀⣿⡟⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣼⢿⡟⠛⠛⢻⣿⣿⣿⣷⣤⣀⣙⣿⣿⠟⢛⣛⠛⠿⣿⣷⣾⠟⠋⠀⠀⠀⠀⣼⡟⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣿⣾⣤⣴⠿⠿⠿⢿⣿⣿⣿⣿⣿⣫⢴⣄⡉⠀⠀⠀⠈⣿⣟⠁⠀⠀⠀⣰⣿⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣿⠟⢏⣟⠀⠀⣄⠸⡉⠿⣿⣿⡟⢿⡿⠟⠁⠀⠀⠀⣴⣯⣉⣷⣶⣶⠾⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠘⣇⣘⣿⣶⣾⣿⡀⠃⠀⠸⠙⣿⡈⢇⠀⣀⣠⣶⠞⠉⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠘⢿⣿⣿⣿⣿⡇⠀⠀⠀⠖⢿⣿⣦⣭⠾⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣿⣷⡈⠦⠀⠀⠀⣸⡿⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠛⠦⢤⡤⠞⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡠⠤⡀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⠀⣸⡇ ⢰⠊⢵⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠆⢲⣿⠃ ⠘⡄⢸⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣀⣴⡿⠀ ⠀⠘⡌⠱⡱⡀⠀⠀⠀⣀⣀⡀⢀⠃⠈⡍⠇⠀ ⠀⠀⠰⡀⢳⣳⠂⢩⣿⡤⣼⣿⣿⢐⣾⡟⠀⠀ ⠀⠀⠀⡱⠚⢿⡀⢻⣯⡳⢞⠀⢰⣿⣿⠃⠀⠀ ⠀⠀⠀⡡⠴⢿⣧⣬⣿⣿⣿⣿⡋⠻⣿⡆⠀⠀ ⠀⠀⠀⡇⠀⠾⣷⣾⣿⣿⣿⣿⣄⡠⣾⡇⠀⠀ ⠀⠀⠀⢰⡄⠀⠹⡟⣟⠿⠋⠉⢠⣼⡟⠀⠀⠀ ⠀⠀⠀⠈⡗⠀⣀⣿⠣⣠⣄⠀⢺⡿⠁⠀⠀⠀ ⠀⠀⠀⠀⠃⠤⠭⢥⡶⠛⢙⣻⣿⠁⠀⠀⠀⠀ ⠀⠀⠀⠀⢸⠀⠀⣿⡥⠉⣡⣿⣿⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢸⠀⠀⠙⠃⠀⠉⢿⢾⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠈⠃⠀⠀⠀⠀⠀⠈⠉⠀⠀⠀⠀⠀

⠀⢀⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢰⢯⡽⠛⢿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡀⠀ ⢸⣿⣄⠀⢤⢻⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣿⣿⣿⣧ ⠸⣿⡂⠀⠠⢹⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⡇⠙⢻⣿ ⠀⢿⣷⠤⠄⢞⣾⣿⡀⠀⠀⠀⠀⣀⠀⠀⠀⠀⠀⠀⠀⢠⣿⡿⠀⢀⣾⡏ ⠀⠘⣿⣦⠀⢀⣸⢿⣷⣀⣤⣖⣫⣯⣯⣦⣀⠀⠀⠀⢀⡞⣾⠁⠂⣶⢻⠁ ⠀⠀⠹⣟⡻⠾⠄⠀⠙⣶⠺⢿⣿⣿⣿⣿⣿⣯⣽⣿⣾⣾⣟⣀⠀⢷⡎⠀ ⠀⠀⠀⢹⣿⣤⣄⠤⡆⢿⡔⠈⣿⣿⣿⡿⣿⣿⣃⠘⣿⣷⠉⢍⣯⡿⠀⠀ ⠀⠀⠀⠀⢻⣷⡀⠀⠀⠈⣇⡨⣿⣿⡏⠀⣿⣿⣮⣦⣬⡇⠀⢨⣿⠁⠀⠀ ⠀⠀⠀⠀⠘⣷⠑⠄⡄⢴⣿⣿⣞⠉⠛⠳⣿⣿⠎⠚⠹⣷⣃⣀⣿⠀⠀⠀ ⠀⠀⠀⠀⠀⡏⢆⢆⠸⣶⣿⢻⣦⣐⠁⣀⣼⡏⠒⠄⢀⣯⠄⣨⣿⠀⠀⠀ ⠀⠀⠀⠀⠀⢹⢈⠈⢢⣿⢏⠀⠘⣫⠈⣸⣟⠀⠀⢺⣿⠋⠁⢺⡏⠀⠀⠀ ⠀⠀⠀⠀⠀⣼⡧⣧⣸⡟⠮⡂⠡⠂⢀⡿⠇⠑⢤⣞⣀⣀⢸⡟⠀⠀⠀⠀ ⠀⠀⠀⠀⢰⠿⢓⣛⣿⣷⣤⣅⣳⠞⡛⠛⢾⣶⡛⠁⠀⣀⡿⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢰⢷⠋⠉⡍⡟⣿⣿⢷⡷⠂⠀⢡⣟⣦⣤⡴⠋⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠈⢦⣿⡾⣧⠁⠐⣹⣎⡤⣤⠖⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠙⠿⣯⠂⠀⢠⠟⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⡉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⣀⣤⣤⣤⣤⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⣴⣿⠟⢿⣿⣭⣿⣟⣿⣷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣼⣿⢧⣴⣿⠍⠛⠛⠻⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀ ⣿⣟⣤⣉⠃⠀⠀⠀⠀⠘⢿⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣾⣿⣿⣿⣷⣦⡄⠀ ⣿⣿⡿⣯⣤⣀⠀⠳⣶⣄⢘⣿⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⡿⣯⣿⣿⣿⣿⣿⣿⣿⡄ ⣿⣽⣿⡝⠓⠒⠦⠐⠪⠹⣧⣹⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⡟⣋⣯⣿⣟⣿⣿⡇ ⢹⣿⣿⣏⠲⠄⠀⠀⠀⡀⠈⢻⣿⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣻⣿⣿⠁⠀⠘⠁⣿⣻⣿⡇ ⠈⣿⣹⣿⡆⠀⠀⠀⠀⠀⠀⣺⠿⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣧⣿⡿⡟⠁⠀⠀⠀⢺⣿⣿⡇ ⠀⢻⣿⣿⣷⣦⠀⢀⣀⣤⢔⣿⢶⡏⢿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⡟⣸⣿⣿⠁⠀⠀⠀⣐⣾⣿⣿⠀ ⠀⠀⢿⣿⣿⠟⠛⠽⠂⠈⠁⠦⠿⢷⣿⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⢀⣀⣠⣤⣄⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⢳⣿⣿⡏⠀⠀⠀⠠⢦⣿⣿⡿⠀ ⠀⠀⠸⣿⣿⣿⣶⣀⡀⠀⠀⠀⠀⢸⣿⣿⣿⣿⡄⠀⠀⠀⣀⣴⣾⠿⠛⢋⣟⣻⠛⢿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⠇⣼⡟⠛⠳⠤⣀⣰⣶⣿⣿⣿⠃⠀ ⠀⠀⠀⢹⣿⡿⢿⡍⠁⠀⣀⡤⠤⠿⠛⣿⣿⣿⣿⣶⣶⡾⡟⣉⣤⣴⣶⣿⣿⣿⣿⣿⣿⣿⣶⣄⠀⠀⢀⣀⡀⠀⠀⠀⣾⡟⢸⣿⡿⠀⠀⠀⠈⠻⠯⡉⢸⡿⠀⠀ ⠀⠀⠀⠀⢻⣿⣿⣿⣾⣯⡵⣒⡃⠀⠀⠁⠹⢻⣿⣦⣤⣤⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⠛⠛⠛⠻⢿⣿⣷⣾⣿⣴⣿⣿⡇⠀⠀⠀⠀⢸⣷⣤⣾⠃⠀⠀ ⠀⠀⠀⠀⠀⢻⣿⣤⡙⠛⠛⠓⠛⠂⠀⠀⠀⠈⢸⣿⡯⠉⠛⠛⣿⡿⣿⣻⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣠⠤⡄⠀⠯⢽⣿⡏⠀⠀⠀ ⠀⠀⠀⠀⠀⠈⣿⣿⣷⡂⠀⠀⠀⠀⠀⠀⠀⡀⢸⡿⣇⠀⣈⠀⠿⢽⣭⣿⣷⣿⣿⣿⣻⣿⣿⣿⣿⣿⢧⠍⠉⢿⣿⣿⣿⣯⡈⠛⠻⠿⢿⣷⠶⢶⣾⡟⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠈⣿⣿⣿⣶⣶⣦⣤⣤⠶⣿⡅⠀⣧⣹⡾⠁⠀⣰⣾⣿⣿⣿⣽⣯⣿⣿⢿⣿⣿⣿⣷⢦⡑⠀⠈⢿⣿⣻⣯⡳⡄⠰⠤⣤⣶⣶⣶⡿⠃⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠹⣿⣿⣿⡟⠛⠁⠀⠀⠈⠁⠀⠘⢿⣧⠀⠀⠰⣾⣿⣿⣿⣿⣭⡝⠛⢰⣿⣿⣿⣿⡜⢛⣆⠀⠀⠹⣿⣿⠛⠃⠀⠀⠿⣿⢿⣿⠃⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⣳⠄⠀⠀⠀⠀⠀⠀⢸⣿⠀⣀⣰⢬⣿⣿⣿⣿⢇⡀⠀⠀⣸⣿⣿⣿⣿⣷⣾⣗⣶⣤⣼⣿⡀⢀⠀⠐⣒⣬⣿⠇⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣯⡙⢿⣇⠀⠀⠀⠀⠀⠀⢸⣿⣿⣏⣵⡊⣹⣿⡿⣟⡿⣍⣀⠀⣿⣿⣷⣿⡚⢯⡙⠻⡿⣿⣮⣿⢁⡎⠀⠀⠘⢿⣿⡆⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣷⣣⡀⠙⣶⡄⢀⠀⠠⣄⣿⣿⣿⣾⣿⣽⣿⡋⠉⠉⠙⠓⠯⣽⣿⣿⣿⣿⣿⡍⠉⠒⠲⠬⣿⣿⣾⡇⠀⠀⠀⣺⣿⡇⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣧⠀⠀⠈⠓⠈⢳⡀⠈⢻⣿⣿⣿⣟⠛⠚⠂⠀⠀⠤⠄⠀⠈⢿⣿⣿⣬⡍⠀⠀⠀⠀⠀⠈⣿⣿⠥⠮⢴⣯⣩⣿⡇⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠙⣧⠀⢹⡄⠀⠸⣿⡾⣾⣟⣿⢿⣿⣷⣄⠐⠲⠾⠛⠃⠀⠀⢻⣿⡿⠛⠻⠲⣤⣄⠀⠀⠀⣿⣅⣀⠀⠀⢀⣿⣿⡇⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⡆⠘⣧⠀⣿⣆⠀⢹⣿⣿⣿⣆⠀⠙⢮⣿⣗⣶⠦⣀⣀⣴⣶⣿⡷⡷⠀⠀⠀⠈⢥⣀⢰⣾⡟⡓⠏⠀⡰⣿⣾⣿⠁⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣷⣠⡈⠧⠈⠻⡄⡈⣿⣿⣿⠛⠀⠀⠀⠹⣿⣏⠁⠀⠁⢀⣾⣿⣽⠁⠀⠀⠀⢤⡨⣿⣿⣯⠛⠉⠉⢀⣥⡷⣿⡟⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⡏⢿⡀⠁⠀⠹⣾⣿⣿⠻⡄⠀⠀⠈⠑⢢⣌⡓⠂⠀⣸⣿⣿⣦⡀⠀⠀⠀⠀⢙⣾⠿⠿⠀⠀⠀⠈⢀⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣷⠀⣿⣄⠀⢳⣿⣿⣿⣦⠙⣄⡈⢙⣒⢄⡈⠉⠀⢸⣿⣿⡏⠑⠙⢦⡀⠀⢠⣾⡯⠀⠀⠀⠀⢰⣶⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⠻⣍⢿⣠⣹⣿⡿⠁⠙⠦⡀⡉⡐⠺⠉⠉⠀⢀⣾⣿⠃⢱⠀⠀⠀⠟⣶⣿⣏⣀⣀⣀⣀⣀⠐⣾⣿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⡿⣦⣺⢷⣽⣿⣿⣷⣄⠀⠀⠛⢦⣝⢦⣤⣤⣾⣿⣿⣿⣦⣬⡳⣄⢀⣼⣿⡯⠤⠉⠉⠉⠉⠵⢺⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⢻⣷⣍⣓⠈⠛⣻⣿⣿⣿⣿⣿⣢⣤⣀⣸⣿⣿⠟⠛⣒⣈⣉⠛⠻⣿⣷⣿⣟⡋⠉⠓⠀⠀⠀⡀⣰⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢸⣧⣿⣇⢠⣶⡿⣫⠿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣁⣴⣊⡉⠁⡀⠈⠁⠢⠈⣿⣿⠃⠀⠀⠀⠀⠀⣒⣾⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢸⣇⡏⢿⠏⡿⠀⠀⢀⡁⢰⡟⢻⣿⣿⣿⣿⢿⣿⣾⣿⠟⠀⠀⠀⠀⠀⣠⡿⠿⠿⢦⣀⣀⣠⣴⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⡄⠸⡖⢧⡀⢀⣼⣶⠈⡇⡀⠙⢹⢻⣿⡄⢻⡏⠁⠄⠀⠀⠀⢀⣴⡿⠿⠷⠶⠶⠚⠛⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣷⣤⣼⣷⣿⣻⠿⣿⡆⠁⠁⠀⠈⡀⣽⣧⡄⢣⣀⣰⣤⢴⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠿⣽⡿⣿⣮⣿⣿⡇⠀⠀⠀⠀⢧⢻⣟⣷⣶⣩⣴⠿⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⢿⣿⣿⣇⠉⢦⠀⠀⠀⠀⢀⣯⣿⠿⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠻⢿⣧⡌⠁⠀⠀⣠⡾⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠛⠛⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⢀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⣰⣾⠿⠟⠷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣰⢿⡏⠀⠀⠀⠸⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⡇⠀⠀⠀⠀⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢿⢻⣧⠀⠀⠀⠀⢹⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣶⠶⠲⢦⡀ ⠘⣿⣿⣷⡶⠏⠉⠻⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⠃⠀⠀⢰⡇ ⠀⣿⣿⡇⠀⠀⠀⠀⢻⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣾⡏⠀⠀⠀⣾⡇ ⠀⣿⣿⡇⠀⠀⠀⠀⢸⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⠀⠀⠀⢸⣿⠀ ⠀⣿⣿⣧⠀⠀⠀⠀⠈⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣤⣄⣀⣾⠃⠀ ⠀⣧⣿⣿⣧⣤⣴⡶⢤⣽⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⠓⠛⠛⢶⡏⠀⠀ ⠀⢸⣿⣿⣿⠋⠁⠀⠰⣿⣿⣀⣀⣤⠤⠤⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⡏⠀⠀⠀⣿⡇⠀⠀ ⠀⠘⡿⣿⣿⠀⠀⠀⠀⣿⡿⠉⠀⠲⠦⠤⠀⠈⢷⡀⢀⣠⣤⣄⣀⡀⠀⠀⠀⠀⢀⣾⣾⣿⠀⠀⠀⣼⡿⠀⠀⠀ ⠀⠀⣷⣿⣿⡆⠀⡀⠀⣼⣷⠀⠀⠀⠀⠀⠀⠀⡆⣳⠟⢥⣠⣀⠈⠙⢳⡄⠀⢀⣾⣿⣭⣓⣤⡄⣼⡿⠀⠀⠀⠀ ⠀⠀⣿⣿⣿⣿⡟⠛⠉⣿⣿⣆⠀⠀⠀⠀⠀⣸⣷⠏⠀⠀⠉⠛⠷⡄⠀⢻⣄⣾⣿⣿⠋⠉⠋⢹⣿⠃⠀⠀⠀⠀ ⠀⠀⢸⣾⣿⣿⡇⠀⢰⣿⢻⣿⣦⡀⠀⣠⣾⣿⠏⠀⠀⠀⠀⠀⠀⣷⡄⢀⣿⣿⡿⠁⠀⠀⢀⣾⠇⠀⠀⠀⠀⠀ ⠀⠀⠈⣿⣿⣿⣿⣶⣿⣿⣸⣿⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⢀⣼⣿⠁⣼⣿⠿⡦⣄⡀⢀⣾⡟⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣟⣿⣿⣿⡿⠛⣿⠛⠛⠛⣿⠞⠛⠛⠓⢶⡄⠀⠀⠀⣼⣿⣿⣿⣿⠃⠀⠀⠀⠛⣿⡟⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢹⣿⣿⠏⠀⠀⠛⠀⠀⠀⢿⡀⠀⠀⣀⣠⣷⠀⢀⣾⣿⣿⣿⡿⠁⠀⠀⠀⠀⢰⣿⠁⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣾⣿⠁⠀⠀⠀⣤⣄⡀⠀⠀⠉⣩⣭⣿⡿⠃⠀⣼⣿⣿⣿⣿⡁⠀⠀⠀⠀⠀⣾⡏⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⣰⣿⡏⠀⠀⠀⠀⠙⣿⣽⣭⣽⣿⠿⠟⠉⠀⢸⣾⣿⣿⣷⠿⣄⡉⠓⠦⣄⡀⢰⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢰⣿⣿⡇⠀⠀⠀⠀⠀⢬⣿⣿⡿⠋⠉⢻⣶⣴⣿⣿⣿⣿⡟⠀⠀⠉⠓⠶⣤⠀⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⣟⣿⣿⣿⠀⠀⠀⠀⠀⠀⣽⢿⠁⠀⠀⢀⣿⣿⣿⣿⣿⡿⢿⣦⡀⠀⠀⠀⠀⢀⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⣿⣿⣿⣿⡄⠀⠀⠈⠙⠛⣻⣿⣿⣦⣤⣾⣿⣿⣿⣿⠏⠀⠀⠉⠉⠓⠤⠤⠤⢸⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⡿⣿⣿⣿⣧⠀⠀⠀⠀⠐⠁⣼⣿⣿⣿⣿⡿⢿⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢹⣿⣿⣿⣿⣷⣄⠀⠀⢀⣾⣿⣿⡿⠛⠁⠀⢸⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣷⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠈⣿⣿⣿⣿⣿⣿⣷⣤⣾⠿⠛⠉⠀⠀⠀⠀⣸⡿⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⡽⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠘⣿⣿⣿⣿⣟⠛⠋⠀⠀⠀⠀⠀⠀⠀⢀⣿⡀⠀⠀⠀⠀⠀⠀⢀⣤⣾⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠙⣿⣿⣿⣿⣷⣦⣤⣀⣀⣀⣀⣤⣶⠿⣿⣿⣷⣶⣤⣤⣶⣾⣿⣿⣯⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠈⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠈⠙⠿⠿⠽⠿⠿⠿⠿⠿⠛⠻⠿⠿⠿⠿⠿⠿⠛⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡞⠋⢈⣳⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⠁⠀⣸⢽⡇ ⠀⣀⡤⢤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡇⣀⣤⣿⣸⠀ ⢰⡏⠀⠐⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡾⠉⠙⢿⡿⡇⠀ ⠀⢷⠀⠀⢽⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⠃⠀⠀⣾⢱⠃⠀ ⠀⠈⣇⠀⣽⣟⠳⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡟⠶⣶⣿⣿⡏⠀⠀ ⠀⠀⠘⢆⠉⠉⣷⠹⡄⠀⠀⠀⠀⠀⠀⠀⣀⣀⠀⠀⠀⢸⠀⠀⠀⣸⢩⠇⠀⠀ ⠀⠀⠀⠘⣄⣀⣸⣧⣹⡀⢀⡤⠶⢦⣴⠛⠉⢹⣯⣳⣦⡇⢀⡀⣠⣟⡞⠀⠀⠀ ⠀⠀⠀⠀⠹⡀⠀⣹⣮⡿⠁⠀⢠⣿⣿⡷⢶⣶⡿⣿⣿⣇⣠⣽⣿⣿⠁⠀⠀⠀ ⠀⠀⠀⠀⠀⢳⣤⣽⣿⣧⠀⠰⢿⡿⡏⢷⣶⣾⠁⠀⠠⣾⢭⣿⣿⡏⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣸⠀⠀⢈⡼⡇⠀⢾⣿⣿⣦⣌⣁⣀⣤⣴⡟⣻⣿⣽⡇⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢸⣤⠴⢿⣷⣿⣤⣤⣾⣿⣿⣿⣾⣿⣿⡇⠙⢳⣿⣿⡇⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⡞⠀⠀⢠⣿⣿⣳⣻⣿⣿⣿⣿⣿⣿⣿⡷⠂⠀⢹⣿⣧⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣷⠀⠀⠘⠿⣿⣯⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⠴⣿⣿⡟⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠘⣦⡀⠀⠀⢻⣿⡿⣿⢻⣿⣿⠟⠛⠛⠈⠁⣷⣿⣼⠁⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣿⡇⠀⠀⠈⠙⣷⣿⠧⠈⠀⠀⠀⠀⠠⣿⣿⣿⠃⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢸⡛⠀⠀⠀⣠⣿⡘⡄⢀⣠⣀⠀⣀⠚⣿⣿⠃⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⡇⠀⠒⠿⠿⠟⣁⣠⣿⠿⢿⣧⣤⣾⣿⠃⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢳⠐⠒⠒⠒⣚⣻⣋⡉⢉⣛⣉⣹⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠸⡆⢀⣀⣈⣿⡟⠉⠉⠉⠛⣺⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠠⣿⣿⠋⠁⠀⣾⣿⣿⠿⡇⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠈⠉⠀⠀⠀⠀⠸⣿⡿⡇⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⠇⠓⠀⠀⠀⠀⠀⠀⠀⠀

⢀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⠀⢱⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⡆⠈⡄⠀⠀⠀⠀⠀⢀⠊⡇ ⠀⠃⠀⢃⣔⠠⣠⠤⢄⡜⠀⠇ ⠀⡸⠞⠛⡡⠁⡇⠀⢸⠁⢰⠀ ⠀⢃⠀⢸⣷⠲⣿⢒⡆⠀⢸⠀ ⠀⠈⡆⠀⠏⠉⠉⠉⠁⠀⡈⠀ ⠀⠀⠰⠀⠀⠀⠀⠀⠀⢠⠃⠀ ⠀⠀⠀⠉⠁⠐⠒⠀⠉⠁⠀⠀

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