⠀⠀⠀⠀⢀⣠⣤⣶⡶⠾⠿⠟⠛⠿⠶⣶⣤⡀⠀⠀⠀
⠀⠀⢀⣴⡿⠟⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠻⣶⡀⠀
⠀⠀⣾⡿⢰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣆
⠀⢠⣿⡇⡈⢰⡛⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿
⠀⠸⣿⡇⠀⢸⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⢹⣿
⠀⠀⣿⣷⢸⢸⣿⡗⠀⠀⠀⠀⠀⠀⢠⣾⣿⣦⠄⣿⡟
⠀⠀⠹⣿⣦⡄⠉⠁⠀⢀⡀⠀⣀⣤⠀⠉⠁⣀⣼⡟⠁
⣴⡶⢶⣌⠻⣿⣤⣀⠀⠀⠉⠛⠉⢁⣠⣤⣾⣿⡋⠀⠀
⣿⡇⣸⣿⣄⠀⠉⠙⢻⣿⠟⣿⣿⠿⣿⣿⣿⣿⣿⠀⠀
⠙⠛⢿⣿⣛⠷⣦⣤⣿⣿⣇⡻⠟⠃⣿⣮⣿⣿⡋⠀⠀
⠀⠀⠈⠙⠿⢿⣾⣯⣽⡿⣿⡷⠖⣦⣿⣻⣿⣿⠇⠀⠀
⠀⠀⠀⠀⠀⠀⠈⠉⠉⠀⣿⠹⠊⢿⢿⠿⣿⡟⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣤⠴⢶⣸⣳⡟⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⡙⠛⠛⣻⠋⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣿⣿⣿⣿⣿⣷⡄⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⠛⠛⠛⠛⠛⠛⠁⠀⠀⠀⠀