⠀⠀⠀⠀⣠⠔⠁⠉⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⡊⠀⢀⡰⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⠀⠀⠀⠄⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠨⡀⡞⠁⠀⠀⢀⠄⢲⠀⢀⡄⢖⣄⠀⢠⠋⠆⠀⡇⠀⠀⠅⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢇⠂⠀⠀⠀⡔⡡⠂⠁⠀⡃⠀⠀⠀⠜⢘⠰⢀⡜⠁⠀⠀⡂⠀⠀⣀⠴⠃⠀⠀ ⠀⠀⠀⢩⠀⠀⠀⠀⣇⠀⠀⠀⠀⠧⠄⠄⠁⠀⢈⠰⠁⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠄ ⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠨⢰⠀⠀⠀⠀⠐⠀⠀⠀⠀⠈⠈⠈⠉ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠖⠈⠈⠁⠁⠁⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠆⠒⠐⠠⠀⠄⠤⠔⠒⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⡀⠄⠄⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠠⠂⠀⠀⠀⠀⠀⠀⡈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠐⠄⠀⠀⠀⠀⠀⠀⠠⠀⠀⠀⠀⠀⠰⠠⡀⠤⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠈⠢⠀⠀⠀⠀⠀⠠⠀⠀⢀⡀⠀⢀⠈⠁⣄⠀⠀⠀⠂⢐⠒⠒⠈⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠈⠢⡄⠀⠀⠀⠢⠊⠀⠈⡂⠉⠀⡄⠀⠀⠀⠀⠀⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠠⠀⠀⠀⠀⢀⠇⠀⠀⠀⡍⠀⠀⠀⢑⠀⠀⠙⡀⠀⠀⠀⠀⠈⠄⠀⠀⠀⠀⠀⠀⠀⠀ ⠘⠢⠤⠄⠔⠁⠀⠀⠀⠀⢃⠀⠀⠀⠀⡃⠀⠀⠨⠀⠀⠀⠀⠀⠱⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠑⠢⠀⠀⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠀⠀⠢⠑⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠱⠀⠀⠀⠀⠀⠨⠀⠀⡃⠀⠀⠀⠀⢃⠀⠀⠀⠀⠁⠔⠄⠤⠢⠘ ⠀⠀⠀⠀⠀⠀⠀⠀⠄⠈⠀⠀⠀⠀⡀⠙⠀⠀⢑⠀⠀⠀⡍⠀⠀⠀⠇⢀⠀⠀⠀⠀⠠ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠀⠀⠀⠀⠀⡄⠀⠉⡂⠈⠀⠊⠢⠀⠀⠀⡄⠢⠈⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠈⠒⠒⢐⠂⠀⠀⠀⣄⠁⠈⢀⠀⡀⢀⠀⠀⠠⠀⠀⠀⠀⠀⠢⠈⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠤⡀⠠⠰⠀⠀⠀⠀⠀⠠⠀⠀⠀⠀⠀⠀⠄⠐⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡈⠀⠀⠀⠀⠀⠀⠂⠠⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠄⠄⡀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠒⠔⠤⠄⠀⠠⠐⠒⠆⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠁⠁⠁⠈⠈⠖⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠏⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠉⠈⠈⠈⠀⠀⠀⠀⠐⠀⠀⠀⠀⢰⠨⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀ ⠄⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠁⠰⢈⠀⠁⠄⠄⠧⠀⠀⠀⠀⣇⠀⠀⠀⠀⢩⠀⠀⠀ ⠀⠀⠃⠴⣀⠀⠀⡂⠀⠀⠁⡜⢀⠰⢘⠜⠀⠀⠀⡃⠀⠁⠂⡡⡔⠀⠀⠀⠂⢇⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠅⠀⠀⡇⠀⠆⠋⢠⠀⣄⢖⡄⢀⠀⢲⠄⢀⠀⠀⠁⡞⡀⠨⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠄⠀⠀⠀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⡰⢀⠀⡊⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠉⠁⠔⣠⠀⠀⠀⠀