⣀⡤⠄⠒⠒⠊⠉⠉⠉⠉⠉⠉⠉⠉⢩⠂⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⡠⠒⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠃⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⡠⠊⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⡴⠁⠀⠀⠀⠀⠀⠀⢀⣀⠤⠐⠂⠉⠇⠀⠀⠀⠀⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢠⠁⠀⠀⠀⣀⠤⠒⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⡆⢀⠔⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠈⡆⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢨⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⡀⠀⠀⠀⠀⢰⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⡄⠀⠀⠀⠀⠱⡀⠀⠀⠀⠀⠀⠀ ⠀⠘⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡀⠀⠈⢂⠤⢄⠀⠀⠑⡄⠀⠀⠀⠀⠀ ⠀⠀⠘⢤⡀⠀⠀⠀⠀⠀⢀⣀⣀⣀⣀⡁⠀⠀⠀⢀⣀⣀⠀⠀⢰⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠈⠉⠁⠉⠉⠁⡇⠊⠁⠸⠀⡜⠇⠀⠀⠁⠇⠠⠏⠀⢸⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⢾⣁⠀⠀⣀⣤⠆⠀⠀⠀⡜⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠑⣄⡀⠀⠒⠒⠛⠛⠛⠋⠀⠀⡴⠁⠀⣀⡤⠄⠒⠒⠊⠉⠉⠉⠉⠉⠉⠉⠉⢩⠂⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⡠⠒⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠃⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⡠⠊⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⡴⠁⠀⠀⠀⠀⠀⠀⢀⣀⠤⠐⠂⠉⠇⠀⠀⠀⠀⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢠⠁⠀⠀⠀⣀⠤⠒⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⡆⢀⠔⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠈⡆⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢨⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⡀⠀⠀⠀⠀⢰⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⡄⠀⠀⠀⠀⠱⡀⠀⠀⠀⠀⠀⠀ ⠀⠘⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡀⠀⠈⢂⠤⢄⠀⠀⠑⡄⠀⠀⠀⠀⠀ ⠀⠀⠘⢤⡀⠀⠀⠀⠀⠀⢀⣀⣀⣀⣀⡁⠀⠀⠀⢀⣀⣀⠀⠀⢰⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠈⠉⠁⠉⠉⠁⡇⠊⠁⠸⠀⡜⠇⠀⠀⠁⠇⠠⠏⠀⢸⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⢾⣁⠀⠀⣀⣤⠆⠀⠀⠀⡜⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠑⣄⡀⠀⠒⠒⠛⠛⠛⠋⠀⠀⡴⠁⠀⣀⡤⠄⠒⠒⠊⠉⠉⠉⠉⠉⠉⠉⠉⢩⠂⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⡠⠒⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠃⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⡠⠊⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⡴⠁⠀⠀⠀⠀⠀⠀⢀⣀⠤⠐⠂⠉⠇⠀⠀⠀⠀⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢠⠁⠀⠀⠀⣀⠤⠒⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⡆⢀⠔⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠈⡆⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢨⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⡀⠀⠀⠀⠀⢰⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⡄⠀⠀⠀⠀⠱⡀⠀⠀⠀⠀⠀⠀ ⠀⠘⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡀⠀⠈⢂⠤⢄⠀⠀⠑⡄⠀⠀⠀⠀⠀ ⠀⠀⠘⢤⡀⠀⠀⠀⠀⠀⢀⣀⣀⣀⣀⡁⠀⠀⠀⢀⣀⣀⠀⠀⢰⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠈⠉⠁⠉⠉⠁⡇⠊⠁⠸⠀⡜⠇⠀⠀⠁⠇⠠⠏⠀⢸⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⢾⣁⠀⠀⣀⣤⠆⠀⠀⠀⡜⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠑⣄⡀⠀⠒⠒⠛⠛⠛⠋⠀⠀⡴⠁⠀⣀⡤⠄⠒⠒⠊⠉⠉⠉⠉⠉⠉⠉⠉⢩⠂⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⡠⠒⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠃⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⡠⠊⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⡴⠁⠀⠀⠀⠀⠀⠀⢀⣀⠤⠐⠂⠉⠇⠀⠀⠀⠀⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢠⠁⠀⠀⠀⣀⠤⠒⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⡆⢀⠔⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠈⡆⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢨⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⡀⠀⠀⠀⠀⢰⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⡄⠀⠀⠀⠀⠱⡀⠀⠀⠀⠀⠀⠀ ⠀⠘⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡀⠀⠈⢂⠤⢄⠀⠀⠑⡄⠀⠀⠀⠀⠀ ⠀⠀⠘⢤⡀⠀⠀⠀⠀⠀⢀⣀⣀⣀⣀⡁⠀⠀⠀⢀⣀⣀⠀⠀⢰⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠈⠉⠁⠉⠉⠁⡇⠊⠁⠸⠀⡜⠇⠀⠀⠁⠇⠠⠏⠀⢸⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⢾⣁⠀⠀⣀⣤⠆⠀⠀⠀⡜⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠑⣄⡀⠀⠒⠒⠛⠛⠛⠋⠀⠀⡴⠁⠀⣀⡤⠄⠒⠒⠊⠉⠉⠉⠉⠉⠉⠉⠉⢩⠂⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⡠⠒⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠃⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⡠⠊⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⡴⠁⠀⠀⠀⠀⠀⠀⢀⣀⠤⠐⠂⠉⠇⠀⠀⠀⠀⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢠⠁⠀⠀⠀⣀⠤⠒⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⡆⢀⠔⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠈⡆⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢨⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⡀⠀⠀⠀⠀⢰⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⡄⠀⠀⠀⠀⠱⡀⠀⠀⠀⠀⠀⠀ ⠀⠘⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡀⠀⠈⢂⠤⢄⠀⠀⠑⡄⠀⠀⠀⠀⠀ ⠀⠀⠘⢤⡀⠀⠀⠀⠀⠀⢀⣀⣀⣀⣀⡁⠀⠀⠀⢀⣀⣀⠀⠀⢰⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠈⠉⠁⠉⠉⠁⡇⠊⠁⠸⠀⡜⠇⠀⠀⠁⠇⠠⠏⠀⢸⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⢾⣁⠀⠀⣀⣤⠆⠀⠀⠀⡜⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠑⣄⡀⠀⠒⠒⠛⠛⠛⠋⠀⠀⡴⠁⠀⣀⡤⠄⠒⠒⠊⠉⠉⠉⠉⠉⠉⠉⠉⢩⠂⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⡠⠒⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠃⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⡠⠊⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⡴⠁⠀⠀⠀⠀⠀⠀⢀⣀⠤⠐⠂⠉⠇⠀⠀⠀⠀⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢠⠁⠀⠀⠀⣀⠤⠒⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⡆⢀⠔⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠈⡆⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢨⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⡀⠀⠀⠀⠀⢰⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⡄⠀⠀⠀⠀⠱⡀⠀⠀⠀⠀⠀⠀ ⠀⠘⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡀⠀⠈⢂⠤⢄⠀⠀⠑⡄⠀⠀⠀⠀⠀ ⠀⠀⠘⢤⡀⠀⠀⠀⠀⠀⢀⣀⣀⣀⣀⡁⠀⠀⠀⢀⣀⣀⠀⠀⢰⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠈⠉⠁⠉⠉⠁⡇⠊⠁⠸⠀⡜⠇⠀⠀⠁⠇⠠⠏⠀⢸⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⢾⣁⠀⠀⣀⣤⠆⠀⠀⠀⡜⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠑⣄⡀⠀⠒⠒⠛⠛⠛⠋⠀⠀⡴⠁⠀⣀⡤⠄⠒⠒⠊⠉⠉⠉⠉⠉⠉⠉⠉⢩⠂⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⡠⠒⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠃⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⡠⠊⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⡴⠁⠀⠀⠀⠀⠀⠀⢀⣀⠤⠐⠂⠉⠇⠀⠀⠀⠀⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢠⠁⠀⠀⠀⣀⠤⠒⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⡆⢀⠔⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠈⡆⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢨⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⡀⠀⠀⠀⠀⢰⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⡄⠀⠀⠀⠀⠱⡀⠀⠀⠀⠀⠀⠀ ⠀⠘⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡀⠀⠈⢂⠤⢄⠀⠀⠑⡄⠀⠀⠀⠀⠀ ⠀⠀⠘⢤⡀⠀⠀⠀⠀⠀⢀⣀⣀⣀⣀⡁⠀⠀⠀⢀⣀⣀⠀⠀⢰⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠈⠉⠁⠉⠉⠁⡇⠊⠁⠸⠀⡜⠇⠀⠀⠁⠇⠠⠏⠀⢸⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⢾⣁⠀⠀⣀⣤⠆⠀⠀⠀⡜⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠑⣄⡀⠀⠒⠒⠛⠛⠛⠋⠀⠀⡴⠁⠀⣀⡤⠄⠒⠒⠊⠉⠉⠉⠉⠉⠉⠉⠉⢩⠂⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⡠⠒⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠃⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⡠⠊⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⡴⠁⠀⠀⠀⠀⠀⠀⢀⣀⠤⠐⠂⠉⠇⠀⠀⠀⠀⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢠⠁⠀⠀⠀⣀⠤⠒⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⡆⢀⠔⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠈⡆⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢨⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⡀⠀⠀⠀⠀⢰⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⡄⠀⠀⠀⠀⠱⡀⠀⠀⠀⠀⠀⠀ ⠀⠘⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡀⠀⠈⢂⠤⢄⠀⠀⠑⡄⠀⠀⠀⠀⠀ ⠀⠀⠘⢤⡀⠀⠀⠀⠀⠀⢀⣀⣀⣀⣀⡁⠀⠀⠀⢀⣀⣀⠀⠀⢰⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠈⠉⠁⠉⠉⠁⡇⠊⠁⠸⠀⡜⠇⠀⠀⠁⠇⠠⠏⠀⢸⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⢾⣁⠀⠀⣀⣤⠆⠀⠀⠀⡜⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠑⣄⡀⠀⠒⠒⠛⠛⠛⠋⠀⠀⡴⠁⠀⣀⡤⠄⠒⠒⠊⠉⠉⠉⠉⠉⠉⠉⠉⢩⠂⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⡠⠒⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠃⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⡠⠊⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⡴⠁⠀⠀⠀⠀⠀⠀⢀⣀⠤⠐⠂⠉⠇⠀⠀⠀⠀⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢠⠁⠀⠀⠀⣀⠤⠒⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⡆⢀⠔⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠈⡆⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢨⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⡀⠀⠀⠀⠀⢰⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⡄⠀⠀⠀⠀⠱⡀⠀⠀⠀⠀⠀⠀ ⠀⠘⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡀⠀⠈⢂⠤⢄⠀⠀⠑⡄⠀⠀⠀⠀⠀ ⠀⠀⠘⢤⡀⠀⠀⠀⠀⠀⢀⣀⣀⣀⣀⡁⠀⠀⠀⢀⣀⣀⠀⠀⢰⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠈⠉⠁⠉⠉⠁⡇⠊⠁⠸⠀⡜⠇⠀⠀⠁⠇⠠⠏⠀⢸⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⢾⣁⠀⠀⣀⣤⠆⠀⠀⠀⡜⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠑⣄⡀⠀⠒⠒⠛⠛⠛⠋⠀⠀⡴⠁⠀⣀⡤⠄⠒⠒⠊⠉⠉⠉⠉⠉⠉⠉⠉⢩⠂⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⡠⠒⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠃⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⡠⠊⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⡴⠁⠀⠀⠀⠀⠀⠀⢀⣀⠤⠐⠂⠉⠇⠀⠀⠀⠀⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢠⠁⠀⠀⠀⣀⠤⠒⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⡆⢀⠔⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠈⡆⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢨⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⡀⠀⠀⠀⠀⢰⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⡄⠀⠀⠀⠀⠱⡀⠀⠀⠀⠀⠀⠀ ⠀⠘⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡀⠀⠈⢂⠤⢄⠀⠀⠑⡄⠀⠀⠀⠀⠀ ⠀⠀⠘⢤⡀⠀⠀⠀⠀⠀⢀⣀⣀⣀⣀⡁⠀⠀⠀⢀⣀⣀⠀⠀⢰⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠈⠉⠁⠉⠉⠁⡇⠊⠁⠸⠀⡜⠇⠀⠀⠁⠇⠠⠏⠀⢸⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⢾⣁⠀⠀⣀⣤⠆⠀⠀⠀⡜⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠑⣄⡀⠀⠒⠒⠛⠛⠛⠋⠀⠀⡴⠁⠀⣀⡤⠄⠒⠒⠊⠉⠉⠉⠉⠉⠉⠉⠉⢩⠂⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⡠⠒⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠃⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⡠⠊⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⡴⠁⠀⠀⠀⠀⠀⠀⢀⣀⠤⠐⠂⠉⠇⠀⠀⠀⠀⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢠⠁⠀⠀⠀⣀⠤⠒⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⡆⢀⠔⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠈⡆⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢨⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⡀⠀⠀⠀⠀⢰⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⡄⠀⠀⠀⠀⠱⡀⠀⠀⠀⠀⠀⠀ ⠀⠘⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡀⠀⠈⢂⠤⢄⠀⠀⠑⡄⠀⠀⠀⠀⠀ ⠀⠀⠘⢤⡀⠀⠀⠀⠀⠀⢀⣀⣀⣀⣀⡁⠀⠀⠀⢀⣀⣀⠀⠀⢰⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠈⠉⠁⠉⠉⠁⡇⠊⠁⠸⠀⡜⠇⠀⠀⠁⠇⠠⠏⠀⢸⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⢾⣁⠀⠀⣀⣤⠆⠀⠀⠀⡜⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠑⣄⡀⠀⠒⠒⠛⠛⠛⠋⠀⠀⡴⠁⠀
⣀⡤⠄⠒⠒⠊⠉⠉⠉⠉⠉⠉⠉⠉⢩⠂⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⡠⠒⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠃⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⡠⠊⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⡴⠁⠀⠀⠀⠀⠀⠀⢀⣀⠤⠐⠂⠉⠇⠀⠀⠀⠀⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢠⠁⠀⠀⠀⣀⠤⠒⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⡆⢀⠔⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠈⡆⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢨⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⡀⠀⠀⠀⠀⢰⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⡄⠀⠀⠀⠀⠱⡀⠀⠀⠀⠀⠀⠀ ⠀⠘⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡀⠀⠈⢂⠤⢄⠀⠀⠑⡄⠀⠀⠀⠀⠀ ⠀⠀⠘⢤⡀⠀⠀⠀⠀⠀⢀⣀⣀⣀⣀⡁⠀⠀⠀⢀⣀⣀⠀⠀⢰⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠈⠉⠁⠉⠉⠁⡇⠊⠁⠸⠀⡜⠇⠀⠀⠁⠇⠠⠏⠀⢸⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⢾⣁⠀⠀⣀⣤⠆⠀⠀⠀⡜⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠑⣄⡀⠀⠒⠒⠛⠛⠛⠋⠀⠀⡴⠁⠀⣀⡤⠄⠒⠒⠊⠉⠉⠉⠉⠉⠉⠉⠉⢩⠂⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⡠⠒⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠃⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⡠⠊⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⡴⠁⠀⠀⠀⠀⠀⠀⢀⣀⠤⠐⠂⠉⠇⠀⠀⠀⠀⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢠⠁⠀⠀⠀⣀⠤⠒⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⡆⢀⠔⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠈⡆⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢨⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⡀⠀⠀⠀⠀⢰⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⡄⠀⠀⠀⠀⠱⡀⠀⠀⠀⠀⠀⠀ ⠀⠘⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡀⠀⠈⢂⠤⢄⠀⠀⠑⡄⠀⠀⠀⠀⠀ ⠀⠀⠘⢤⡀⠀⠀⠀⠀⠀⢀⣀⣀⣀⣀⡁⠀⠀⠀⢀⣀⣀⠀⠀⢰⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠈⠉⠁⠉⠉⠁⡇⠊⠁⠸⠀⡜⠇⠀⠀⠁⠇⠠⠏⠀⢸⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⢾⣁⠀⠀⣀⣤⠆⠀⠀⠀⡜⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠑⣄⡀⠀⠒⠒⠛⠛⠛⠋⠀⠀⡴⠁⠀⣀⡤⠄⠒⠒⠊⠉⠉⠉⠉⠉⠉⠉⠉⢩⠂⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⡠⠒⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠃⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⡠⠊⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⡴⠁⠀⠀⠀⠀⠀⠀⢀⣀⠤⠐⠂⠉⠇⠀⠀⠀⠀⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢠⠁⠀⠀⠀⣀⠤⠒⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⡆⢀⠔⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠈⡆⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢨⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⡀⠀⠀⠀⠀⢰⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⡄⠀⠀⠀⠀⠱⡀⠀⠀⠀⠀⠀⠀ ⠀⠘⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡀⠀⠈⢂⠤⢄⠀⠀⠑⡄⠀⠀⠀⠀⠀ ⠀⠀⠘⢤⡀⠀⠀⠀⠀⠀⢀⣀⣀⣀⣀⡁⠀⠀⠀⢀⣀⣀⠀⠀⢰⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠈⠉⠁⠉⠉⠁⡇⠊⠁⠸⠀⡜⠇⠀⠀⠁⠇⠠⠏⠀⢸⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⢾⣁⠀⠀⣀⣤⠆⠀⠀⠀⡜⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠑⣄⡀⠀⠒⠒⠛⠛⠛⠋⠀⠀⡴⠁⠀⣀⡤⠄⠒⠒⠊⠉⠉⠉⠉⠉⠉⠉⠉⢩⠂⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⡠⠒⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠃⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⡠⠊⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⡴⠁⠀⠀⠀⠀⠀⠀⢀⣀⠤⠐⠂⠉⠇⠀⠀⠀⠀⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢠⠁⠀⠀⠀⣀⠤⠒⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⡆⢀⠔⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠈⡆⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢨⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⡀⠀⠀⠀⠀⢰⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⡄⠀⠀⠀⠀⠱⡀⠀⠀⠀⠀⠀⠀ ⠀⠘⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡀⠀⠈⢂⠤⢄⠀⠀⠑⡄⠀⠀⠀⠀⠀ ⠀⠀⠘⢤⡀⠀⠀⠀⠀⠀⢀⣀⣀⣀⣀⡁⠀⠀⠀⢀⣀⣀⠀⠀⢰⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠈⠉⠁⠉⠉⠁⡇⠊⠁⠸⠀⡜⠇⠀⠀⠁⠇⠠⠏⠀⢸⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⢾⣁⠀⠀⣀⣤⠆⠀⠀⠀⡜⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠑⣄⡀⠀⠒⠒⠛⠛⠛⠋⠀⠀⡴⠁⠀⣀⡤⠄⠒⠒⠊⠉⠉⠉⠉⠉⠉⠉⠉⢩⠂⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⡠⠒⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠃⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⡠⠊⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⡴⠁⠀⠀⠀⠀⠀⠀⢀⣀⠤⠐⠂⠉⠇⠀⠀⠀⠀⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢠⠁⠀⠀⠀⣀⠤⠒⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⡆⢀⠔⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠈⡆⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢨⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⡀⠀⠀⠀⠀⢰⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⡄⠀⠀⠀⠀⠱⡀⠀⠀⠀⠀⠀⠀ ⠀⠘⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡀⠀⠈⢂⠤⢄⠀⠀⠑⡄⠀⠀⠀⠀⠀ ⠀⠀⠘⢤⡀⠀⠀⠀⠀⠀⢀⣀⣀⣀⣀⡁⠀⠀⠀⢀⣀⣀⠀⠀⢰⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠈⠉⠁⠉⠉⠁⡇⠊⠁⠸⠀⡜⠇⠀⠀⠁⠇⠠⠏⠀⢸⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⢾⣁⠀⠀⣀⣤⠆⠀⠀⠀⡜⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠑⣄⡀⠀⠒⠒⠛⠛⠛⠋⠀⠀⡴⠁⠀⣀⡤⠄⠒⠒⠊⠉⠉⠉⠉⠉⠉⠉⠉⢩⠂⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⡠⠒⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠃⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⡠⠊⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⡴⠁⠀⠀⠀⠀⠀⠀⢀⣀⠤⠐⠂⠉⠇⠀⠀⠀⠀⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢠⠁⠀⠀⠀⣀⠤⠒⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⡆⢀⠔⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠈⡆⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢨⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⡀⠀⠀⠀⠀⢰⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⡄⠀⠀⠀⠀⠱⡀⠀⠀⠀⠀⠀⠀ ⠀⠘⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡀⠀⠈⢂⠤⢄⠀⠀⠑⡄⠀⠀⠀⠀⠀ ⠀⠀⠘⢤⡀⠀⠀⠀⠀⠀⢀⣀⣀⣀⣀⡁⠀⠀⠀⢀⣀⣀⠀⠀⢰⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠈⠉⠁⠉⠉⠁⡇⠊⠁⠸⠀⡜⠇⠀⠀⠁⠇⠠⠏⠀⢸⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⢾⣁⠀⠀⣀⣤⠆⠀⠀⠀⡜⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠑⣄⡀⠀⠒⠒⠛⠛⠛⠋⠀⠀⡴⠁⠀⣀⡤⠄⠒⠒⠊⠉⠉⠉⠉⠉⠉⠉⠉⢩⠂⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⡠⠒⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠃⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⡠⠊⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⡴⠁⠀⠀⠀⠀⠀⠀⢀⣀⠤⠐⠂⠉⠇⠀⠀⠀⠀⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢠⠁⠀⠀⠀⣀⠤⠒⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⡆⢀⠔⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠈⡆⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢨⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⡀⠀⠀⠀⠀⢰⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⡄⠀⠀⠀⠀⠱⡀⠀⠀⠀⠀⠀⠀ ⠀⠘⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡀⠀⠈⢂⠤⢄⠀⠀⠑⡄⠀⠀⠀⠀⠀ ⠀⠀⠘⢤⡀⠀⠀⠀⠀⠀⢀⣀⣀⣀⣀⡁⠀⠀⠀⢀⣀⣀⠀⠀⢰⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠈⠉⠁⠉⠉⠁⡇⠊⠁⠸⠀⡜⠇⠀⠀⠁⠇⠠⠏⠀⢸⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⢾⣁⠀⠀⣀⣤⠆⠀⠀⠀⡜⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠑⣄⡀⠀⠒⠒⠛⠛⠛⠋⠀⠀⡴⠁⠀⣀⡤⠄⠒⠒⠊⠉⠉⠉⠉⠉⠉⠉⠉⢩⠂⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⡠⠒⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠃⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⡠⠊⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⡴⠁⠀⠀⠀⠀⠀⠀⢀⣀⠤⠐⠂⠉⠇⠀⠀⠀⠀⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢠⠁⠀⠀⠀⣀⠤⠒⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⡆⢀⠔⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠈⡆⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢨⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⡀⠀⠀⠀⠀⢰⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⡄⠀⠀⠀⠀⠱⡀⠀⠀⠀⠀⠀⠀ ⠀⠘⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡀⠀⠈⢂⠤⢄⠀⠀⠑⡄⠀⠀⠀⠀⠀ ⠀⠀⠘⢤⡀⠀⠀⠀⠀⠀⢀⣀⣀⣀⣀⡁⠀⠀⠀⢀⣀⣀⠀⠀⢰⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠈⠉⠁⠉⠉⠁⡇⠊⠁⠸⠀⡜⠇⠀⠀⠁⠇⠠⠏⠀⢸⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⢾⣁⠀⠀⣀⣤⠆⠀⠀⠀⡜⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠑⣄⡀⠀⠒⠒⠛⠛⠛⠋⠀⠀⡴⠁⠀⣀⡤⠄⠒⠒⠊⠉⠉⠉⠉⠉⠉⠉⠉⢩⠂⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⡠⠒⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠃⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⡠⠊⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⡴⠁⠀⠀⠀⠀⠀⠀⢀⣀⠤⠐⠂⠉⠇⠀⠀⠀⠀⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢠⠁⠀⠀⠀⣀⠤⠒⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⡆⢀⠔⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠈⡆⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢨⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⡀⠀⠀⠀⠀⢰⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⡄⠀⠀⠀⠀⠱⡀⠀⠀⠀⠀⠀⠀ ⠀⠘⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡀⠀⠈⢂⠤⢄⠀⠀⠑⡄⠀⠀⠀⠀⠀ ⠀⠀⠘⢤⡀⠀⠀⠀⠀⠀⢀⣀⣀⣀⣀⡁⠀⠀⠀⢀⣀⣀⠀⠀⢰⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠈⠉⠁⠉⠉⠁⡇⠊⠁⠸⠀⡜⠇⠀⠀⠁⠇⠠⠏⠀⢸⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⢾⣁⠀⠀⣀⣤⠆⠀⠀⠀⡜⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠑⣄⡀⠀⠒⠒⠛⠛⠛⠋⠀⠀⡴⠁⠀⣀⡤⠄⠒⠒⠊⠉⠉⠉⠉⠉⠉⠉⠉⢩⠂⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⡠⠒⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠃⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⡠⠊⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⡴⠁⠀⠀⠀⠀⠀⠀⢀⣀⠤⠐⠂⠉⠇⠀⠀⠀⠀⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢠⠁⠀⠀⠀⣀⠤⠒⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⡆⢀⠔⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠈⡆⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢨⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⡀⠀⠀⠀⠀⢰⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⡄⠀⠀⠀⠀⠱⡀⠀⠀⠀⠀⠀⠀ ⠀⠘⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡀⠀⠈⢂⠤⢄⠀⠀⠑⡄⠀⠀⠀⠀⠀ ⠀⠀⠘⢤⡀⠀⠀⠀⠀⠀⢀⣀⣀⣀⣀⡁⠀⠀⠀⢀⣀⣀⠀⠀⢰⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠈⠉⠁⠉⠉⠁⡇⠊⠁⠸⠀⡜⠇⠀⠀⠁⠇⠠⠏⠀⢸⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⢾⣁⠀⠀⣀⣤⠆⠀⠀⠀⡜⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠑⣄⡀⠀⠒⠒⠛⠛⠛⠋⠀⠀⡴⠁⠀⣀⡤⠄⠒⠒⠊⠉⠉⠉⠉⠉⠉⠉⠉⢩⠂⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⡠⠒⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠃⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⡠⠊⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⡴⠁⠀⠀⠀⠀⠀⠀⢀⣀⠤⠐⠂⠉⠇⠀⠀⠀⠀⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢠⠁⠀⠀⠀⣀⠤⠒⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⡆⢀⠔⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠈⡆⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢨⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⡀⠀⠀⠀⠀⢰⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⡄⠀⠀⠀⠀⠱⡀⠀⠀⠀⠀⠀⠀ ⠀⠘⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡀⠀⠈⢂⠤⢄⠀⠀⠑⡄⠀⠀⠀⠀⠀ ⠀⠀⠘⢤⡀⠀⠀⠀⠀⠀⢀⣀⣀⣀⣀⡁⠀⠀⠀⢀⣀⣀⠀⠀⢰⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠈⠉⠁⠉⠉⠁⡇⠊⠁⠸⠀⡜⠇⠀⠀⠁⠇⠠⠏⠀⢸⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⢾⣁⠀⠀⣀⣤⠆⠀⠀⠀⡜⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠑⣄⡀⠀⠒⠒⠛⠛⠛⠋⠀⠀⡴⠁⠀
