⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⣠⠟⠙⢧⡀⠀⠀⠀⠀⠀⠀⣠⡴⠛⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⣰⠋⠀⠀⠈⢻⣄⣤⣄⣀⣀⡼⠋⠀⠀⠘⢷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⢰⣏⣀⡀⠀⠀⠀⠧⠧⠶⠷⠼⣀⣀⣀⡀⠀⠘⣿⠛⠲⠶⠶⣦⣤⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠓⠶⣿⡆⠀⠀⢀⣤⡀⠀⠀⡀⠀⠀⢀⣄⡀⠈⢩⢯⢻⣆⣬⣤⠀⡘⡄⢹⠙⡛⠶⣄⡀⠀⠀⠀⠀⠀⠀⠀⡞⠉⢳⡀
⠀⢀⣸⣁⣱⡀⠀⠘⠛⠀⡠⢿⣻⢧⠀⠘⠛⠁⠀⣤⠟⢹⡿⠀⠀⠀⢰⠀⠀⡆⡇⢀⡨⠛⢦⡀⠀⠀⠀⠀⠀⡗⠒⠚⡇
⠉⠉⣿⡀⠀⠉⠉⠉⠉⠉⠀⠀⠀⠀⠉⠒⠂⠐⠚⠉⣰⣟⠛⠒⠲⠀⠀⡇⠀⡇⡇⠀⠀⠀⠀⢻⣄⠀⠀⠀⢠⠏⠐⠲⡇
⠀⢸⡇⢟⠳⡦⢄⣀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣤⡶⠋⡠⠃⠀⠀⠐⠀⡀⠃⢀⠁⡇⠀⠀⠀⠀⠀⢻⡄⠀⡠⣏⠑⢤⡼⠁
⠀⢸⡇⢌⢢⠈⠢⣄⠉⠉⣼⣷⠖⠉⢉⡡⠚⠁⣠⠞⢀⠞⠀⠀⡇⠀⡆⠀⢸⢠⠁⠀⠀⠀⠀⠀⠀⣿⠋⢆⠈⣳⠞⠁⠀
⠀⠘⣧⠀⠀⠑⣄⠀⠉⠲⣍⣡⠔⠊⠁⣀⠴⠊⠀⠔⠁⠀⠀⠼⠀⠀⡇⠀⡆⡸⠀⠀⠀⠀⠀⠀⠀⣿⠤⠜⠋⠁⠀⠀⠀
⠀⠀⢹⡄⢠⠤⠤⡷⢄⣰⣿⣿⣀⠔⣪⣇⡀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠇⢰⢡⠇⠀⠀⠀⠀⠀⠀⢀⡏⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⢻⣄⠉⠉⠁⠀⠯⢸⣶⢱⠉⠭⠥⡇⠀⠀⠀⠀⢀⡀⠀⠀⡜⢠⠃⡞⠀⠀⠀⠀⠀⠀⢠⡾⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠙⢦⣀⣀⡀⠀⠈⢿⠄⠑⠤⠜⠁⠀⠀⠀⣠⠊⠀⠀⠀⢀⠎⡜⠀⠀⠀⠀⠀⠀⣰⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠈⢷⡒⢛⣿⠗⠛⠛⠒⠒⢿⠭⠭⠷⣶⡟⠓⠲⠶⠶⠾⠾⠶⠶⣆⠀⠀⢀⣼⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠈⠛⠋⠁⠀⠀⠀⠀⠀⠈⠳⣤⡴⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠳⠴⠟⠁⠀⠀