Legend of Zelda Emojis & Text

Copy & Paste Legend of Zelda Emojis & Symbols

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