⠀⠀⠀⡰⡄⠔⡁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⡠⠁⡇⡄⢣⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣄⣠⡇⠀⡇⢳⡀⠣⡀⠀⠀⠀⠀⢀⡤⡆⠀⠀⠀⠀⠀⢠⡆⠀⠀⠀⠀⠀⠀⢀⡟⡄⠀⠀⠀⠀⠀⠀⣼⠁⠀⠀⠀⠀⠀⠀⢳⡄⠀⠀ ⠙⣽⠇⡜⠀⠀⠱⡄⠉⠉⠑⠒⠋⠁⡀⠓⣄⠀⠀⠀⢀⢾⡿⡄⠀⠀⠀⠀⠀⡬⣧⠘⢦⣀⣀⣀⠴⣿⠇⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀ ⡞⢁⢦⠉⡇⠀⠀⣽⡦⣀⣀⣀⣴⠋⢧⠀⠈⠙⠒⠂⢠⠎⢣⡈⠑⠲⠤⠔⠋⡼⢩⡷⠄⠀⠀⣀⠔⣻⠀⠀⠀⠀⠀⠀⠀⣀⠇⡇⠀⠀ ⡇⡼⠘⠦⠼⠄⠀⣿⠀⠀⠀⠀⣿⠀⠀⠉⠓⠒⣾⠚⠁⠀⠀⢩⢗⠤⠤⠴⠊⠁⠀⣿⠀⠀⠀⠀⠀⣿⠀⠀⠀⠈⠉⠉⠙⢆⣠⠜⠛⠒ ⠿⠁⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠸⡃⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⡿⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢘⠛⡄⠀⠀⠀⡿⠁⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⢳⡇⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⡸⠀⡇⠀⠀⠀⢫⢸⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⡿⡀⠀⠀⠀⠀⠀⡇⡆⠀⠀⠀⠀⡞⠇⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⡇⠀⡇⠀⠀⠀⢸⠀⡇⠀⠀⠀⠍⡇⠀⠀⠀⠀⡇⡇⠀⠀⠀⠀⠀⡇⡇⠀⠀⠀⢸⠀⠅⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⡇⡀⡇⠀⠀⠀⠐⠀⡇⠀⠀⠀⠂⡇⠀⠀⠀⠀⡇⡁⠀⠀⠀⠀⠀⡇⢱⠀⠀⠀⢸⠀⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⡇⡇⡇⠀⠀⠀⢨⠀⢹⠀⠀⠀⡇⢣⠀⠀⠀⠀⠇⢧⠀⠀⠀⠀⠀⡇⢰⠀⠀⠀⢘⠀⡆⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⡅⡇⡇⠀⠀⠀⡇⢘⢸⠀⠀⠀⡇⢸⠀⠀⠀⢘⠀⢸⠀⠀⠀⠀⠀⡇⢸⠀⠀⠀⢘⠇⡇⠀⠀⠀⠀⠀⢱⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⡇⡇⡇⠀⠀⠀⡇⢨⢸⠀⠀⠀⡇⡌⠆⠀⠀⡇⢰⠸⡄⠀⠀⠀⠀⡇⢠⡇⠀⠀⢨⡆⡁⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⡇⡇⡇⠀⠀⠀⣇⢸⢸⠀⠀⠀⠇⠇⢱⠀⠀⢇⠸⠀⡇⠀⠀⠀⠀⡇⢨⠸⠀⠀⢸⢸⢨⠀⠀⠀⢀⡰⠃⣇⠀⣀⡀⠀ ⠀⠀⠀⠀⠀⠀⠈⠛⠁⠀⠀⠀⠸⣸⢸⠀⠀⠀⠐⢇⢸⠀⠀⢸⢰⢠⠃⠀⠀⠀⠀⡇⢸⢸⠀⠀⢸⢸⠰⠀⠀⠒⠛⠲⡀⢠⠚⠉⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠛⠚⠀⠀⠀⢸⢸⢸⠀⠀⢸⢸⢸⠀⠀⢰⠀⠀⡇⠨⢸⠀⠀⠀⣿⣸⠀⠀⠀⠀⠀⢱⡇⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⡸⡄⠀⠀⠀⠀⠀⠀⠀⢸⠀⣽⠀⠀⢸⡞⢨⠀⠀⢸⡀⠀⠳⠼⠼⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠴⢾⡁⠘⣦⠖⠀⠀⠀⠀⠀⠈⠓⠛⠀⠀⠈⠉⠙⠀⠀⣸⢧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⡜⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠒⠛⠻⡄⠈⣉⠿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣼⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀