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⣿⡿⠛⠛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇
⣿⡇⠘⢿⡟⣿⡟⡟⠛⠛⢿⠛⠛⠟⣛⢻⠛⠛⠻⡛⢻⠟⣛⢻⡇
⡿⠻⡷⢀⠀⣿⠀⠇⢾⠇⡸⢰⣿⠠⡭⢤⢀⡿⢰⡇⢘⠠⡭⢤⡇
⣿⣶⣶⣿⣷⣶⣾⠀⣶⣶⣷⣾⣿⣶⣶⣿⣾⣷⣾⣷⣾⣶⣶⣿⡇
⠿⠿⠿⠿⠿⠿⠿⠾⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿
⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀
⠀⠀⠀⠀⡏⢢⡁⠂⠤⣀⣀⣀⣀⣀ ⠤⠐⢈⡔⢹
⠀⠀⠀⠀⢿⡀⠙⠆⠀⠉⠀⠀⠀⠀⠉⠀⠰⠋⢀⡿
⠀⠀⠀⠀⠈⢷⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⡾⠁
⠀⠀⠀⠀⠀⠀⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹
⣰⠊⠉⠉⠉⡇⠀⠢⣤⣄⠀⠀ ⣠⣤⠔⠀⢸
⠙⠓⠒⢦⠀⠱⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠎
⠀⠀⠀⠀⡇⠀⠀⠏⠑⠒⠀⠉⠀⠒⠊⠹
⡎⠉⢹⠀⠙⡶⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢦⠀⠀⡏⠉⢱
⢧⡈⠛⠉⠉⠀⠀⣠⠀⠀⠀⠀⠀⠀⠀⠀⣄⠀⠉⠉⠋⢁⡼
⠀⢉⣿⠖⠚⠛⢋⢀⠀⠀⠀⠀⠀⠀⠀⡀⡙⠛⠓⠲⣿⣄
⠀⢸⡇⠀⠀⠀⡞⠁⠈⡃⠀⠀⠀⠀⢘⠁⠈⢳⠀⠀⠀⢸⡇
⠀⠈⢷⣄⠀⠀⠙⠦⠌⠑⠢⠤⠔⠊⠁⢠⠎⠀⠀⣠⡾⠁
⠀⠀⠀⠈⠛⠲⠤⣤⣀⣀⣀⣀⣠⣤⣚⣡⠤⠖⠛⠁