⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡤⠔⠒⠉⠉⠉⠁⠉⠑⠦⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⠊⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢢⡀⠀⠀⠀⠀⠀⣀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡔⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⡀⡤⠤⡤⠷⠀⠀⠀⠀⠀⣸⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢾⠤⠄⠄⠤⠄⠔⠂⠒⠁⠁⣽⡇⠀⠀⡇⠀⡇⠀⠀⠀⣀⣀⠄⠃⠑⣄⡀⠀ ⠀⠀⠀⡖⠒⠒⠂⠒⢲⡀⠀⠀⢸⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⠀⡀⠇⢀⠇⠀⠀⠀⠁⠉⠢⢀⠄⠊⠉⠁ ⠀⠀⠀⡁⠀⠀⠀⠀⠀⡃⠀⠀⠀⢇⡀⠀⠀⠀⡀⠀⠀⠀⣀⠈⠉⠏⠀⢀⠞⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀ ⠀⠀⠀⠅⠀⠀⠀⠀⠀⡂⠀⠀⠀⠀⠧⣄⡀⠀⠸⡏⠉⠉⣿⠀⠀⠀⣤⠃⠀⠀⠀⠀⠀⠀⠀⠚⠣⠀⠀⠀⠀ ⠀⠀⠀⠓⢢⠋⠋⠛⠳⡞⠀⠀⠀⠀⠀⠀⢩⠉⠉⠻⡆⠒⠟⠒⠊⠉⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⡇⠀⠀⠀⠀⢧⠀⠀⠀⠀⠀⠀⠸⠤⠄⠤⠀⠄⠄⠄⠄⠤⠞⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⡨⠁⠀⠀⠀⠀⠈⢇⠀⠀⠀⠀⡖⠁⣀⡀⣀⡟⠦⠤⣀⠀⠀⠀⠈⢹⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠆⠀⠀⠀⠀⠀⠀⠈⡆⠀⡀⢸⠁⠀⠉⠒⡆⣀⡖⠉⠉⠀⠀⠀⠀⢨⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢀⠃⠀⠀⠀⡀⠀⠀⠀⡇⠀⡇⢸⡀⠀⠀⠰⠏⠀⣷⠀⠀⠏⠀⠀⠀⠨⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⡘⠀⠀⠀⠀⠇⠀⠀⠀⡇⠀⡅⠀⠃⢆⠀⠀⠀⠀⠀⠀⠀⠅⠀⠀⠀⢘⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢀⠇⠀⠀⠀⠀⠅⠀⠀⠀⢱⢰⠁⠀⠀⡰⠓⡀⠀⠀⠀⠀⠀⠅⠀⠀⠀⠨⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⡔⠄⠤⠄⣀⠀⡁⠀⠀⠀⠈⠟⠀⠀⠀⡃⠀⡇⠀⠀⠀⠀⠀⡃⠀⠀⠀⠀⡂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣔⡁⡀⠀⠀⠀⠉⡆⠀⢠⠀⠀⠀⠀⠀⡎⠀⠀⠅⠀⠀⠀⠀⠀⡆⠀⠀⠀⠀⠅⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠁⠁⠑⠒⠃⠀⠀⠓⠦⠄⠔⠋⠀⠀⢀⠃⠀⠀⠀⠀⠀⠅⠀⠀⠀⠀⢱⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⡑⠂⠒⠂⠒⢺⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⢅⡀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
