Smiley Face Sunglasses Emojis & Text

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