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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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please don't post gross stuff on here!! kids who are young like probably 9 year olds are just trying to find cute combos. spread the word (≧ヮ≦) also people who are spreading the word, please do not use curse words. it's the same example for kids with gross things but with curse words. thanks love<3 bye!!(｡˃ ᵕ ˂ )⸝♡⸜(｡˃ ᵕ ˂ )⸝♡⸜(｡˃ ᵕ ˂ )⸝♡