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

about_me

hello! again, my name is pyrus. i use he/him pronouns and am 20 something years old. i am a student studying english and philosophy and hope to become a high school english teacher once i graduate.

im a big fan of ocs!! this will be a landing page for all things about me, my art, my characters, and my interests. speaking of interests, some of my main ones are undertale, homestuck, and danganronpa. i am cringe but i am free.

i'm pretty chill when it comes to "dni criteria" and such like that. just dont be a weirdo i suppose? i am very pro-media, pro-piracy and pro- people do whatever they want. i'm also pro- closing the tab if i dont like it and encourage you to do the same!

fun_facts

  • my classpect is a knight of mind
  • i am an infp, 4w5
  • i am a cat person !!
  • i am transmasc aroace (in the mlm flavor)
  • one might call me a fudanshi but the word fujoshi is more pleasing to my ears

why_nekoweb?

i made this site because i want to remove myself from social media and have a place to hold all my art, oc information, and shrines! i love making shrines and hope to make one for a lot of my hyperfixations and special interests for (hopefully) years to come.

favorite_things

shows
  • glee, cherry magic, evangelion, madoka magica, ouran high school host club
games
  • undertale & deltarune, 1000xresist, botw & totk, omori, sdr2, ensemble stars
books
  • homestuck (andrew hussie), the buried giant (kazuo ishiguro), the goldfinch (donna tart), empire of the vampire (jay kristoff), a tale for the time being (ruth ozeki)

currently

  • watching glee s3e3
  • reading captive prince trilogy book 2
  • playing apollo justice: ace attorney 2.2

hobbies

  • drawing, making ocs, coding shrines for things i like, reading, writing (occassionally), making spreadsheets, daydreaming about apartment decorating, classpecting characters from my fave media (x)

kin_list

i'm very lowkey about kinning these guys are just similar to me in silly ways :3