⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⢹⡇⠀⠀⠀⠀⣿⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⢸⡇⠀⠀⠀⠀⣿⠈⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⡿⢸⣧⠀⠀⠀⠀⣿⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢀⡇⢸⣿⠀⠀⠀⠀⣿⡇⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⢸⣿⠀⢀⣀⣀⣿⡇⢹⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣸⣇⣼⣿⠉⠀⠀⠀⢿⣇⡀⣿⢄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⡠⠊⠙⠛⠁⠀⠀⠀⠀⠀⠀⠈⠛⠛⠀⠈⠢⡄⠀⠀⠀⠀⠀⢀⡆⠀⠀⠀ ⢸⠀⠀⠀⣠⡾⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢆⠀⠀⠀⠀⣸⢑⠀⠀⠀ ⣾⣆⠀⣼⢻⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡆⠀⠀⢰⠀⠀⠀⠀⠈⠆⠀⠀⢀⡇⣸⠀⠀⠀ ⣿⡙⣾⣃⣸⠃⠀⠀⠀⠀⡜⠀⢠⠀⡰⠸⡇⠀⠀⠀⠀⠀⠀⠀⣠⣴⣤⣦⠞⢰⣿⠀⠀⠀ ⢹⣷⣿⣽⣿⠀⠀⢠⠃⡔⢠⡶⡹⣰⢃⠇⠸⣄⠀⠀⠀⠀⠀⠀⣯⣭⣍⣠⣤⣾⠏⠀⠀⠀ ⠀⠹⣿⣿⣿⠀⡄⣎⣮⣶⣋⢠⣣⠇⣼⣤⣀⡙⢷⣴⠀⠀⠀⠈⢿⣿⡿⠿⠛⠁⠀⠀⠀⠀ ⠀⠀⣇⠀⣷⠀⣿⢋⢹⣿⣿⢧⠏⡜⠻⠻⣿⡿⠛⠻⠃⠀⢸⢰⣰⠁⠃⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠘⣦⣿⡄⠇⠈⠉⢁⣾⣯⠎⠀⠀⠒⠒⠀⠀⣇⡆⠀⣼⠈⣿⢠⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢸⡿⡇⢰⠀⠀⣾⡟⡁⢀⠀⠀⠀⠀⠀⢰⣽⠇⠀⣏⡏⣿⡸⡇⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢸⡇⡇⢸⣇⢸⣿⠀⠈⠀⠀⠀⠀⠀⠀⣼⣿⠀⢰⢹⣿⡙⣇⢷⣄⡀⠀⠀⠀⠀⠀ ⠀⠀⠀⣸⣇⡇⢸⣿⣧⡇⠈⠉⠉⠑⠂⠀⠀⢀⠻⣿⠀⢸⢜⢝⡻⢿⣿⣿⡿⠛⢛⡗⠤⣄ ⠀⠀⠀⣿⠝⡇⢸⢰⡿⠙⢆⠀⠀⠀⢀⡠⠒⠙⡇⡇⠠⡼⡜⢷⣿⣯⡿⠟⢀⣾⢟⡠⠒⠈ ⠀⠀⠀⣿⡆⢡⢸⡟⠀⠀⢳⠭⣂⡉⠣⢄⠀⡇⢹⠁⡄⡇⣈⣺⠛⠋⠀⡠⢊⠔⠁⢀⠀⠀