⢸⣿⣿⣿⣿⡿⠛⠛⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣶⣾⣿⣿⡿⢋⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⡿⠋......⠀⠀⣠⣶⣿⣿⣷⣶⣶⣶⣶⣶⣿⣷⣦⣤⡀
⣿⡟...........⠛⠉⠉⠉⠉⠙⢿⣿⣿⣿⠟⠛⠋⠉⠉⠛⠛⠁⠀⠀⠀⠀⠀
.................⣠⣶⣶⣶⣶⣶⣾⣿⣿⣿⣶⣶⣴⣶⣶⣶⣄⠀⢰⠀⠀⠀⠀ ⠀⠀⠀⠀⠀
............⢀⣾⠟⣉⡙⢛⣿⣿⣿⣿⣿⣿⣿⣿⣛⡭⢍⡙⢿⣷⠀⡇⠀⠀⠀ ⠀⠀⠀⠀
............⣼⣿⠘⠧⠀⣠⣟⣽⠋⢨⣿⡏⢻⣍⣛⣀⠠⣟⣰⣿⣿⣷⠀⠀⠀ ⠀⠀⠀⠀⠀
............⢸⣿⣿⣿⣿⣿⣿⡇⠀⢸⣿⣇⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀ ⠀⠀⠀⠀
............⢸⣿⣿⣿⣿⣿⣿⣧⡶⢿⣿⡿⢷⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀⠀ ⠀⠀⠀⠀⠀
............⣼⣿⣿⣿⣿⣿⣿⡿⠛⠸⣿⠄⠿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀ ⠀⠀⠀⠀⠀
............⠈⢻⣿⣿⣿⣿⠏⠀⣠⣤⣤⣤⡀⠙⣿⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀
................⠉⠉⣿⣿⠁⠀⣸⡋⠀⠀⠉⢿⠄⠈⣿⣿⣿⣿⠟⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀
.....................⠸⠗⠀⢠⣿⡇⠀⠀⠀⣾⣇⠀⢺⣿⠟⠉⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
..........................⣼⠀⣤⡀⠀⠀⢀⣧⢰⣄⠘⡷⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
................. ......⢸⣷⣙⡛⠛⠚⣻⣯⣿⠇⠀