⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣤⣶⡶⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣷⣦⣀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⡿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣠⣤⣤⡿⣧⠶⠶⠶⠶⠶⠶⠶⠶⢦⣤⣤⣤⣀⡀⠀⢸⣿⠇ ⠀⠀⠀⠀⠀⠀⠀⠀⣴⡿⠛⠉⠉⠀⠀⡤⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⡝⠻⣷⣿⡟⠀ ⠀⠀⠀⠀⠀⠀⢀⣼⠏⠀⠀⠀⠀⠀⡘⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡜⠁⠀⠈⣿⡇⠀ ⠀⠀⠀⠀⠀⠀⣾⠋⠀⠀⠀⠀⠀⡸⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡸⠁⠀⠀⢠⣿⠃⠀ ⠀⠀⠀⠀⠀⣼⠇⠀⠀⠀⠀⠀⠐⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠃⠀⠀⠀⣾⡇⠀⠀ ⠀⠀⢀⣤⣴⠿⣶⣤⣀⠀⠀⠀⣾⠀⠀⠀⣀⣤⡶⠶⠾⠿⢶⣶⣤⣀⠃⠀⠀⠀⢰⡿⠀⠀⠀ ⢀⣼⠋⠀⠀⠀⠀⠈⡿⣷⡀⠀⡄⠀⠀⣼⡿⠋⠀⠀⠀⠀⠀⠱⡙⣿⣆⠀⠀⢀⣿⠃⠀⠀⠀ ⣼⠁⠀⠀⠀⠀⠀⠀⢱⢹⣷⠐⠃⠀⣸⡿⠀⠀⠀⠀⠀⠀⠀⠀⢱⠙⣿⣆⠀⣼⡏⠀⠀⠀⠀ ⡇⠰⣿⡆⠀⠀⠀⠀⡜⢸⣿⠘⡇⠀⣿⡇⠀⠀⠀⠀⠀⠀⣾⡇⢀⠀⣿⡏⢀⣿⠁⠀⠀⠀⠀ ⢻⣄⠀⠀⠀⠀⢀⡴⢡⣿⠇⠀⡄⠀⢹⣷⠀⠀⠀⠀⠀⠀⠀⠀⡜⣶⣿⠉⢸⡏⠀⠀⠀⠀⠀ ⠀⠙⠶⣤⣀⣒⣯⣾⠟⠁⠀⠈⠃⠀⠀⠻⣷⣄⠀⠀⠀⣀⠤⣊⣴⡿⠁⠀⣿⠃⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠉⠻⣯⡀⠀⠀⠀⠙⠻⡟⠀⠀⠈⠛⠿⢶⣿⡶⠿⠿⠟⠰⠀⢰⡟⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠙⢿⣦⣤⣤⣤⣭⣯⣤⣤⣤⣤⣤⣀⣀⣤⣄⡀⠀⠀⠀⣸⠇⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⣸⣏⡾⡉⣧⠀⠀⠠⣴⣾⣯⣽⢿⢀⣸⠀⣿⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⠛⠛⠛⠛⠂⠀⠀⢨⡿⣿⠿⡟⢸⣿⣦⣿⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⢳⡿⣿⠁⢸⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⡏⣾⣽⡇⠀⠈⣿⣿⣯⠀⣠⠃⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣷⣢⠤⠤⠀⠀⠁⢺⣿⠿⠁⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣿⣿⣏⠙⢻⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢿⡟⠀⠀⢿⣿⡇⠀⠀⠀⠀⠀⠀⠀