.⢠⣶⣾⣷⣦⡀⠀⣤⣤⣤⣤⣄⠀⣤⣤⣤⣤⣤⣤⣤
⣾⣿⠁⢸⣿⣧⠀⣿⣿⠉⠹⣿⣆⠉⠉⠉⠉⣿⣿⠟
⣿⣿⠀⠘⠛⠛⠀⣿⣿⠀⠀⣿⣿⠀⠀⠀⣼⣿⡟
⣿⣿⠀⠀⠀⠀⠀⣿⣿⣤⣾⡿⠃⠀⠀⣼⣿⡟
⣿⣿⠀⠀⠀⠀⠀⣿⣿⢻⣿⣇⠀⠀⠀⣿⣿
⣿⣿⠀⢸⣿⣷⠀⣿⣿⠀⣿⣿⡄⠀⠀⣿⣿
⢻⣿⣦⣼⣿⠏⠀⣿⣿⠀ ⣿⣧⠀ ⣿⣿
⠛⠛⠛⠋⠀⠀⠛⠛⠀⠀⠛⠛ ⠛⠛
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣿⣦⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⠂⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⣿⣀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⢠⣾⣿⣿⣿⣿⣿⣿⣦⠀
⠀⠀⠀⠀⠀⠀⣴⣿⢿⣷⠒⠲⣾⣾⣿⣿
⠀⠀⠀⠀⣴⣿⠟⠁⠀⢿⣿⠁⣿⣿⣿⠻⣿⣄⠀⠀⠀⠀
⠀⠀⣠⡾⠟⠁⠀⠀ ⠀ ⣿⣸⣿⣿⣿⣆⠙⢿⣷⡀⠀⠀
⣰⡿⠋⠀⠀⠀⠀⠀ ⠀⢸⣿⣿⣿⣿⣿⣿⠀⠀⠉⠻⣿⡀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⠂⠀
⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⡿⣿⣿⣿⣿⡄⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⠿⠟⠀⠀⠻⣿⣿⡇⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⢀⣾⡿⠃⠀⠀⠀⠀⠀⠘⢿⣿⡀⠀⠀⠀
⠀⠀⠀⠀⠀⣰⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣷⡀⠀⠀
⠀⠀⠀⠀⢠⣿⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⣿⣧⠀⠀
⠀⠀⠀⢀⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣆⠀
⠀⠀⠠⢾⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣷⡤⠄