⠀⠀⠀⠀⠁⠉⠉⠉⠉⠉⠍⠋⠈⠀⠀⠀⠀⠀⠀⠀⠉⠊⠖⠒⠒⠒⠉⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠎⣀⠀⠀⠀⠀⠀⠀⠀⣀⠳⠀⠀⠀⠁⠔⣀⠀⠀⠀⠀⠀⠀⡀⡣⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⣵⠈⠎⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠣⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⣯⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⠑⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢣⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⣟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⡀⢦⠉⠈⠀⠀⠀⠀⠁⠉⡏⠔⣇⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠊⡤⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣀⣀⣀⡀⡀⢀⠁⢰⠀⡀⢆⠒⠉⠉⠉⠉⠉⠁⠉⠂⠤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡜⠀⠀⠀⡆⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢱⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⢣⠈⠀⠁⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠁⠎⠤⠤⠤⠸⠀⠀⠀⠀⠀⠀⠀⡁⣀⣀⠀⠇⠀⠀⠀⠀⠀⠀⠌⠀⠀⠀⠀⠀⡸⠀⠀⠀⠀⠀⠀⠇ ⠁⡼⠀⠀⠀⠀⢧⠀⠀⠀⠀⠀⠹⠀⠁⠀⠀⠀⡇⠈⠀⠀⠀⠀⠁⠰⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⡇ ⡇⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⡄⠙⡇⠀⠀⠀⠀⢫⠉⠉⠉⠈⡜⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⡇ ⡀⢇⠈⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⡄⡟⠀⠀⠀⠀⡀⠑⠀⠀⠃⣠⠀⠀⠀⠀⠀⠀⣸⣀⠤⠦⠒⠒⠂⡏ ⠀⠀⣆⠉⠀⠀⡄⠀⠀⠀⠀⠎⠤⠤⡧⠶⠀⠀⠀⠀⡄⠈⠀⡇⠀⠀⠀⠀⠀⠀⠃⢰⠀⠀⠀⠀⠀⠀⢸ ⠀⠀⠀⡀⣀⣀⣤⠰⠀⠀⡇⢀⠀⠀⡇⠀⠀⠀⠀⠀⠀⡇⠁⡸⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠃⢠ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⣄⠦⠒⡖⠀⠀⠀⠀⠀⠀⠀⣶⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⡂⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢦⠙⠀⠀⠀⡘⠀⠀⠀⠀⠀⠤⠤⠤⠤⠄⠤⠲⠒⠓⠀⠀⠀⠀⠀⠀⠁⡖⣀⣀⣀⡀⡀⢄⠣⠈⠀⠀ ⠀⠀⡆⠘⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⣄⠀⠀ ⠀⠀⠀⡆⠌⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡜⠀⠀⠀⠀⠀⠀⡆⠙⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠏⣄⠙⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠇⢀⠀⠀⠀⠀⠀⠀⠀⡄⠢⠑⠉⠈⠀⠀⠀⠀⠀⠀ ⠀⠀⠇⢀⠀⡄⠸⠀⠀⠀⠀⡀⣄⠤⠤⠤⠢⠐⠑⡝⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⡀⢄⠢⠑⠈⠀ ⠀⠀⡜⠀⠀⠀⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⢧ ⠀⡇⢀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡅⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇ ⠀⡏⠀⠀⠀⠀⠀⠀⠀⠄⠤⠤⠤⠤⠒⠒⠂⠑⡐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡏ ⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠤⠄⠤⠤⠄⠄⠄⠤⠤⣠⠀

⠀⣠⠤⠤⠄⠄⠄⠤⠤⠄⠤⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀ ⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡐⠑⠂⠒⠒⠤⠤⠤⠤⠄⠀⠀⠀⠀⠀⠀⠀⡏⠀ ⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡅⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⢀⡇⠀ ⢧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣇⠀⠀⠀⡜⠀⠀ ⠀⠈⠑⠢⢄⡀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⡝⠑⠐⠢⠤⠤⠤⣄⡀⠀⠀⠀⠀⠸⡄⠀⢀⠇⠀⠀ ⠀⠀⠀⠀⠀⠀⠈⠉⠑⠢⡄⠀⠀⠀⠀⠀⠀⠀⢀⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣄⠏⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⡆⠀⠀⠀⠀⠀⠀⡜⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠌⡆⠀⠀⠀ ⠀⠀⣄⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠘⡆⠀⠀ ⠀⠀⠈⠣⢄⡀⡀⣀⣀⣀⡖⠁⠀⠀⠀⠀⠀⠀⠓⠒⠲⠤⠄⠤⠤⠤⠤⠀⠀⠀⠀⠀⡘⠀⠀⠀⠙⢦⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⡂⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⣶⠀⠀⠀⠀⠀⠀⠀⡖⠒⠦⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢠⠃⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⡸⠁⡇⠀⠀⠀⠀⠀⠀⡇⠀⠀⢀⡇⠀⠀⠰⣤⣀⣀⡀⠀⠀⠀ ⢸⠀⠀⠀⠀⠀⠀⢰⠃⠀⠀⠀⠀⠀⠀⡇⠀⠈⡄⠀⠀⠀⠀⠶⡧⠤⠤⠎⠀⠀⠀⠀⡄⠀⠀⠉⣆⠀⠀ ⡏⠂⠒⠒⠦⠤⣀⣸⠀⠀⠀⠀⠀⠀⣠⠃⠀⠀⠑⡀⠀⠀⠀⠀⡟⡄⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠈⢇⡀ ⡇⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⡜⠈⠉⠉⠉⢫⠀⠀⠀⠀⡇⠙⡄⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⡇ ⡇⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠰⠁⠀⠀⠀⠀⠈⡇⠀⠀⠀⠁⠀⠹⠀⠀⠀⠀⠀⢧⠀⠀⠀⠀⡼⠁ ⠇⠀⠀⠀⠀⠀⠀⡸⠀⠀⠀⠀⠀⠌⠀⠀⠀⠀⠀⠀⠇⠀⣀⣀⡁⠀⠀⠀⠀⠀⠀⠀⠸⠤⠤⠤⠎⠁⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠁⠀⠈⢣⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⢱⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⡆⠀⠀⠀⡜⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠤⠂⠉⠁⠉⠉⠉⠉⠉⠒⢆⡀⠀⢰⠁⢀⡀⡀⣀⣀⣀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⡤⠊⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⣇⠔⡏⠉⠁⠀⠀⠀⠀⠈⠉⢦⡀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣟⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⢣⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠑⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣯⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠣⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠎⠈⣵⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣄⡣⡀⠀⠀⠀⠀⠀⠀⣀⠔⠁⠀⠀⠀⠳⣀⠀⠀⠀⠀⠀⠀⠀⣀⠎⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠒⠒⠒⠖⠊⠉⠀⠀⠀⠀⠀⠀⠀⠈⠋⠍⠉⠉⠉⠉⠉⠁⠀⠀⠀⠀