............⣰⠂⠀⠀⠀⠀⠀⠀⠀⠀⠐⡄⠀⠀⠀ ⠀⠀⠀⠀
.........⢰⣿⠀⠀⠀⣠⠀⠀⢄⠀⠀⢠⡏⠀⠀⠀ ⠀⠀⠀⠀
.........⢻⣿⣼⠀⠀⣷⡄⡄⣼⡀⢠⣼⡷⠀⠀⠀ ⠀
⢀⣷⣤⣄⣿⣿⣿⣶⣦⣿⣿⣷⣾⣿⣿⣧⣠⠀⠀ ⠀
⢸⣟⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠀⠀ ⠀
⣦⣿⣾⣿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀ ⠀
⠸⣿⣿⡏⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⢻⣿⡷⠀⠀ ⠀
⢀⣿⡟⠀⠀⠀⢠⢻⣿⣿⣿⣿⡯⠁⠀⢻⣷⡀⠀
⢠⣿⣿⠀⠀⠀⠀⠈⣿⣿⣿⣿⡿⠃⠀⠀⢈⣿⣿⠀
⣸⣿⢿⣌⡄⠀⠀⠀⠹⣿⣿⣿⠃⠀⠀⠀⢾⣿⣿⠇
⠉⠻⠿⠟⠂⠀⠀⠀⠀⢿⣿⡗⠀⠀⠀⠀⠒⠛

⠀⠀⠀⠀⠀⠀⠀⢀⣠⠤⠒⠒⠒⢛⣒⠒⠒⠦⢤⣀⠀⠀⠀⠀
⠀⣤⡀⠀⢀⡴⠚⠁⠀⠀⠀⡠⢊⠵⡈⡆⠀⠀⠀⠈⢱⠆⠀⠀
⡜⡷⢱⠔⠁⠀⠀⠀⠀⠀⠊⠰⠇⣀⡇⡇⢀⠀⢀⣠⠏⠀⠀⠀
⣇⣧⡋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠇⠈⠙⠛⢤⡀⠀⠀⠀
⢘⡏⠀⠀⠀⠀⠀⠰⠊⢀⡠⢄⡀⠀⠀⠀⠀⠀⠀⠀⠙⢦⠀⠀
⢸⢰⠋⢢⠀⠀⠀⠀⡔⢁⣤⡀⠹⡀⠀⠀⠀⠀⠀⠀⠀⠀⢳⡀
⠈⡇⢰⡟⢳⡀⢀⠎⠀⡿⣄⣼⠀⠇⠀⠀⠀⠀⠠⡄⠀⠀⠀⣳
⠀⠰⡸⣽⣿⣈⣁⣀⠀⠙⠿⢃⡼⠲⡀⠀⠀⠀⠀⠹⡍⠉⠉⠁
⠀⠀⢵⠒⠋⠿⠗⠀⠉⠉⠉⡩⠀⢀⡇⠀⠀⠀⠀⠀⢧⠀⠀⠀
⠀⠀⠘⠢⣄⡀⠀⠀⠀⠀⣉⣠⠴⠋⠀⣀⣀⡀⠀⠀⡞⠀⠀⠀
⠀⠀⠀⠀⠀⠈⠉⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠉⠑⠦⠃⠀