⠀⠀⠀⠀⠀⠀⠀⠶⠆⠀⠀⠀⠀⠀⠀⠘⠃⠀⠀⠐⠀⠀⠀⠀⠶⠆⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠐⢠⠀⢄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⡀⠂⡄⠄⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢹⠀⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠀⡇⠀⠀⠄⠀⠀⠀ ⠀⠀⠐⠠⣀⡄⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⡇⢂⣰⠀⠆⠀⠀ ⠀⠀⠐⠤⠤⠐⣡⡴⠊⣉⢉⡉⠑⢆⢀⡄⠠⣄⢠⠖⠉⣉⣉⡙⠲⣌⠢⠤⠄⠃⠀⠀ ⠀⠀⢸⠉⢀⡴⠃⠀⢊⠀⠐⠃⠀⠎⠸⢄⢀⠼⠘⠄⡀⠓⠀⠨⠀⠈⢷⣀⠈⠡⠀⠀ ⠀⠀⠇⠀⠁⠀⣀⡠⠠⠰⠐⠒⠤⡀⠀⠀⠀⠀⢀⡠⠐⠐⠐⠰⠄⡄⡀⠀⠁⣒⠀⠀ ⠀⠈⠈⢀⡒⠁⠁⠀⠀⠀⠀⠀⠀⠘⠤⠀⠀⠠⠁⠀⠀⠀⠀⠀⠀⠀⠉⠑⡀⠐⠀⠀ ⠀⠀⠠⢰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠨⠄⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠲⢐⠅⠀ ⢀⠀⢀⢐⠀⠀⠀⠀⠀⠀⠀⠀⢀⢠⠊⠀⠀⠑⠤⡀⠀⠀⠀⠀⠀⠀⠀⠀⡐⢀⢀⠀ ⠈⠀⣠⠇⢣⡀⡀⣀⣀⢠⠤⠂⢩⣤⠀⠀⠀⠀⢠⣅⠑⠰⠠⡄⡀⡀⣀⠠⢹⡄⠀⠃ ⠀⡾⠁⡠⠤⢀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⣀⠙⣦⠀ ⠀⠱⡀⠣⠴⠀⠂⠀⠀⠐⠠⠤⠀⠀⠀⠀⠀⠀⠀⠀⡠⠠⠐⠀⠀⢀⠀⣄⡨⠀⡜⠀ ⠀⠀⠈⠒⠒⠒⠁⠀⠀⠀⠀⠀⡌⠄⠀⠀⠀⠀⠀⠀⡄⠀⠀⠀⠀⠈⠤⣀⠠⠚⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠀⠀⠀⠀⠀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢀⢀⢀⢀⡄⣀⠀⣀⢀⣀⢀⡀⣄⢀⢀⢄⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠨⠛⠛⠼⠷⣿⣼⣿⢸⣿⣼⡷⠿⠘⠋⠀⡄⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⠀⠀⠀⠇⡏⡄⣠⣀⣀⣈⢘⣈⣀⢠⣼⡄⡆⠁⠀⠀⡄⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⡡⠄⠀⠄⠀⠀⠃⠛⠹⠙⠿⢸⠇⠻⠈⠃⠃⠁⠀⠄⠀⠈⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢠⠉⢀⣠⠤⠄⣀⠀⢠⣤⠀⠀⠀⠤⢤⣀⠈⢡⠀⠉⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠀⠀⡐⡄⢡⢀⣄⢠⠀⡔⡀⠄⠈⠉⠁⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠑⠠⠄⠊⢾⣿⠈⠂⠄⠐⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠏⠘⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠐⠄⠂⠈⣿⢾⠊⠄⠠⠑⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠁⠉⠈⠄⡀⡔⠀⢠⣄⢀⢡⡄⡐⠀⠀⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠉⠀⢡⠈⣀⢤⠤⠀⠀⠀⣤⢠⠀⣀⠄⠤⣠⢀⠉⢠⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠈⠀⠄⠀⠁⠃⠃⠈⠻⠇⢸⠿⠙⠹⠛⠃⠀⠀⠄⠀⠄⡡⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⡄⠀⠀⠁⡆⡄⣼⢠⣀⣈⢘⣈⣀⣀⣠⡄⡏⠇⠀⠀⠀⢀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⡄⠀⠋⠘⠿⡷⣼⣿⢸⣿⣼⣿⠷⠼⠛⠛⠨⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢄⢀⢀⣄⡀⢀⣀⢀⣀⠀⣀⡄⢀⢀⢀⢀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠀⠀⠀⠀⠀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠚⠠⣀⠤⠈⠀⠀⠀⠀⡄⠀⠀⠀⠀⠀⠀⠄⡌⠀⠀⠀⠀⠀⠁⠒⠒⠒⠈⠀⠀ ⠀⡜⠀⡨⣄⠀⢀⠀⠀⠐⠠⡠⠀⠀⠀⠀⠀⠀⠀⠀⠤⠠⠐⠀⠀⠂⠀⠴⠣⡀⠱⠀ ⠀⣦⠙⣀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⢀⠤⡠⠁⡾⠀ ⠃⠀⡄⢹⠠⣀⡀⡀⡄⠠⠰⠑⣅⢠⠀⠀⠀⠀⣤⢩⠂⠤⢠⣀⣀⡀⡀⢣⠇⣠⠀⠈ ⠀⢀⢀⡐⠀⠀⠀⠀⠀⠀⠀⠀⡀⠤⠑⠀⠀⠊⢠⢀⠀⠀⠀⠀⠀⠀⠀⠀⢐⢀⠀⢀ ⠀⠅⢐⠲⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠄⠨⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⠠⠀⠀ ⠀⠀⠐⡀⠑⠉⠀⠀⠀⠀⠀⠀⠀⠁⠠⠀⠀⠤⠘⠀⠀⠀⠀⠀⠀⠁⠁⡒⢀⠈⠈⠀ ⠀⠀⣒⠁⠀⡀⡄⠄⠰⠐⠐⠐⡠⢀⠀⠀⠀⠀⡀⠤⠒⠐⠰⠠⡠⣀⠀⠁⠀⠇⠀⠀ ⠀⠀⠡⠈⣀⢷⠈⠀⠨⠀⠓⡀⠄⠘⠼⢀⢄⠸⠎⠀⠃⠐⠀⢊⠀⠃⡴⢀⠉⢸⠀⠀ ⠀⠀⠃⠄⠤⠢⣌⠲⡙⣉⣉⠉⠖⢠⣄⠠⡄⢀⢆⠑⡉⢉⣉⠊⡴⣡⠐⠤⠤⠐⠀⠀ ⠀⠀⠆⠀⣰⢂⡇⠘⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡄⣀⠠⠐⠀⠀ ⠀⠀⠀⠄⠀⠀⡇⠀⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠋⠀⢹⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠄⡄⠂⡀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢄⠀⢠⠐⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠆⠶⠀⠀⠀⠀⠐⠀⠀⠃⠘⠀⠀⠀⠀⠀⠀⠆⠶⠀⠀⠀⠀⠀⠀⠀