⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠦⣀⠀⠀⠀⠀
⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠉⠁⠀⠈⠣⡀⠀⠀
⠀⠀⠀⢀⡈⠭⠶⠖⠒⠦⡀⠀⠀⠀⠀⠀⠀⠀⠀⡖⠉⠉⠉⠉⠁⠲⡄⠀⠀⠀
⠀⠀⢰⠊⠀⠀⠀⠀⠀⠀⢡⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀
⠀⠀⢸⠀⠀⠀⠀⠀⠀⡀⢸⠀⠀⠀⠀⠀⠀⠀⠀⡇⣴⡀⠀⣤⠀⠀⡇⠀⠀⠀
⠀⠀⠈⠀⠀⢰⣇⠀⠀⣿⡼⡄⠀⠀⠀⠀⠀⠀⠀⡇⣿⡇⠰⣿⠀⠀⡇⠀⠀⠀
⠀⠀⣀⠀⠀⢸⣿⠀⠀⢿⡇⣇⠀⠀⠀⠀⠀⠀⠀⡇⠻⠃⠈⠿⠀⠀⡟⣆⠀⠀
⠀⢀⡇⠀⠀⠈⠿⠀⠀⠈⠀⡏⢇⠀⠀⠀⠀⠀⡸⡇⠀⣀⠶⠶⢆⠀⡇⠈⡆⠀
⠀⠸⡇⠀⢢⡀⠀⠀⢀⡔⠁⡇⠀⠱⡀⠀⢀⡼⠁⡇⠈⠈⠢⡔⠛⡆⡇⠀⠘⡄
⢠⢇⡇⠀⠀⠉⠒⠊⠁⠀⠀⠃⠀⠀⠘⣾⣿⠆⠀⠇⠀⠀⠀⠈⠈⠀⡅⠀⠀⠘
⡘⢸⡁⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠉⠉⠀⠀⢄⠀⠀⠀⠀⣀⡠⠃⠀⠀⠀
⠇⠀⠣⢀⣀⣀⣀⡀⡤⠤⠤⠊⠀⠀⠀⠀⠀⠀⠀⠀⠉⢹⠉⠉⠇⠀⠀⠀⠀⠀
⠇⠀⠀⠀⠀⢸⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠠⠜⠀⠀⠣⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠜⠀⠀⠘⠂⠀⠀⠀⠀