⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠏⡆⠀⠀⠀⠀⠀⢀⣀⣤⣤⣤⣀⡀
⠀⠀⠀⠀⠀⡟⢦⡀ ⠀⣀⠞⠀⠀⠘⡀⢀⡠⠚⣉⠤⠂⠀⠀⠀⠈⠙⢦⡀
⠀⠀⠀⠀⠀⡇⠀⠉⠒⠊⠁⠀⠀⠀⠀⠀⠘⢧⠔⣉⠤⠒⠒⠉⠉⠀⠀⠀⠀⠹⣆
⠀⠀⠀⠀⠀⢰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⠀⠀⣤⠶⠶⢶⡄⠀⠀⠀⠀⢹⡆
⠀⣀⠤⠒⠒⢺⠒⠀⠀⠀⠀⠀⠀⠀⠀⠤⠊⠀⢸⠀⡿⠀⡀⠀⣀⡟⠀⠀⠀⠀⢸⡇
⠈⠀⠀⣠⠴⠚⢯⡀⠐⠒⠚⠉⠀⢶⠂⠀⣀⠜⠀⢿⡀⠉⠚⠉⠀⠀⠀⠀⣠⠟
⠀⠠⠊⠀⠀⠀⠀⠙⠂⣴⠒⠒⣲⢔⠉⠉⣹⣞⣉⣈⠿⢦⣀⣀⣀⣠⡴⠟⠁
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠀⠉⠉⠉

⠀⠀⠀⠀⢀⣠⣤⣤⣄⡀⠀⠀⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⡀⡚⢿⣿⣿⣿⡿⣣⣶⣿⣿⣿⣿⣶⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⣇
⠀⢰⠇⣿⣷⣬⣛⠿⢱⣿⣿⣿⣿⢟⣭⣶⣶⣾⣿⣷⣦⠀⠀⠀⣀⣴⣿⣿⣿
⠀⢸⡇⣿⣿⣿⣿⣿⣶⣶⣮⣭⡅⣾⣿⣿⡟⢿⢿⡝⢿⢰⣿⣿⣿⡿⠛⣿⣿
⠀⣨⠅⢿⣿⡅⣊⡉⢙⣛⣛⣻⡅⣇⠈⠋⠀⠀⠀⠁⠀⡀⠈⠉⠉⠉⠀⠀⣿⣿
⠰⡏⣾⡜⣿⣧⢻⡇⠙⠛⣛⢩⣤⠻⠦⠴⠿⠷⠴⠷⠒⠁⠀⠀⠀⠀⠀⠀⣿⡏
⠀⠁⠈⢿⠘⣿⡆⢇⠀⠀⠀⠋⠸⠃⢸⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⠁
⠀⠀⠀⠈⠀⠘⢿⡄⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠃
⠀⠀⠀⠀⠀⠀⠈⠳⡀