⠀⠀⠀⠀⠀⠀⢀⣀⣀⣰⣿⣿⣿⣧⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠉⣹⢿⡿⣿⢿⠿⠿⢉⠉⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⣀⠁⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⢀⢂⡒⠠⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⠀⠀⠀⠀⠀
⠀⠀⠀⠀⢂⠞⡬⢑⠠⠀⠀⠀⠀⠀⢀⡀⠀⠀⠈⠀⠀⠀⠀⠀
⠀⠀⠀⡘⢮⡽⣼⣧⣶⣀⡀⢀⠠⠈⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⢚⠎⠉⠹⣶⢾⠹⡛⠀⠰⣷⡆⠀⠀⠀⠀⠀⠄⠀⠀⠀
⠀⠀⠀⣍⡶⣧⣄⣀⣀⣠⣷⣤⡠⢄⣠⣄⡀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⣠⣾⣿⣷⡜⢻⣿⣤⣧⣤⣤⢠⠀⠘⢃⢠⠀⠀⢠⠀⠀⠀
⠀⠀⣹⠿⣿⢿⣟⣷⡙⠛⠛⠛⠋⠀⠀⠀⠈⠀⠀⠀⢸⠀⠀⠀
⠀⢠⣟⣿⡿⣯⣟⡾⣽⣦⢥⡀⢀⢀⠀⠀⠀⠀⠀⢀⠆⣶⡀⠀
⣴⣿⠛⣮⠿⣷⣿⣽⣳⢯⣟⠿⣛⠬⡠⠐⠄⣠⡰⢊⡜⠻⢾⡄
⠈⠻⣷⣼⣿⣯⣝⣻⠿⠿⢾⣟⠯⠾⠥⠟⠂⣡⣴⢾⣴⣎⠟⠂
⠀⠀⠀⠛⠻⠿⣟⢿⣿⣷⣶⣶⣷⣶⣿⣿⡿⡷⠻⠟⠿⠁⠀⠀
⠀⠀⠀⠀⠀⠀⠘⢰⣿⡟⠛⠛⠛⢋⣿⡏⠈⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⢸⣿⠁⠀⠀⠀⠐⡿⠑⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⣸⠑⠀⠀⠀⠀⠀⣯⡆⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⣀⠠⠁⡈⡀⠀⠀⠀⢾⣏⣀⣀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⢰⣿⣟⠟⠉⠉⠁⠀⠀⠀⠀⠈⠿⣿⡣⠀⠀⠀⠀⠀⠀