⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣤⠤⠤⣤⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⡠⠚⢳⠖⠋⠁⠀⠀⠀⠀⠀⠀⠉⠱⠖⠉⠳⡄⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⡸⠁⠀⠈⣠⠤⣄⡀⠀⠀⠀⣀⣀⡀⠀⢠⠀⠀⠸⡄⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⡇⠀⢀⡜⠀⣤⠀⢱⠤⢤⡎⠁⡀⠈⣦⢼⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠙⠲⡾⠻⣄⣀⡴⠚⠃⠀⢧⡀⠁⣀⠏⠘⠦⢴⡞⠁⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⢠⠎⠀⠀⢀⠉⢧⣀⣀⣠⠇⠉⠉⣅⠀⠀⠀⠈⡇⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⡎⠀⠀⢠⡋⠓⠒⠶⠶⠒⠒⠚⠉⠀⠀⠀⠀⠀⢹⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠰⡇⠀⠀⠀⢱⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡼⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⢇⠀⠀⡔⠋⠁⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⢀⡇⠀⠀⠀⠀
⠀⠀⠀⠀⠘⢆⠘⣇⠀⠀⢀⣄⠀⠀⠀⢸⠀⠀⠀⠀⠀⢸⠃⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⡗⠎⠙⠋⠁⠈⠓⠲⠒⠁⠀⠀⠀⠀⠀⣼⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⣼⣷⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣠⣴⣿⣿⣇⠀⠀⠀⠀⠀
⠀⠀⣀⠴⠊⠙⢿⣿⣿⣿⣷⣶⣶⣶⣶⣿⣿⣿⣿⣿⠟⠋⠈⠳⢄⠀⠀⠀
⢀⡞⠁⠀⡀⡄⠀⠈⠙⡟⠿⠿⠿⠿⠿⠿⠛⠋⠉⠀⠀⠀⠀⠀⠀⠑⢄⠀⠀