⠀⠀⢀⡴⠒⠚⠒⠒⠤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡠⠤⠄⠤⢄⡀⠀⠀
⠀⢠⠋⢀⣴⣶⢺⣦⡀⠈⠳⡤⠔⠒⠒⠉⠉⠉⠉⠉⠉⠉⠑⠒⠒⠦⠤⢀⣀⡀⠀⠀⠀⢠⠞⠁⠀⢀⣠⣀⡀⠙⢆⠀
⠀⣿⠀⢾⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⢤⣀⡀⠀⠀⠀⢀⣠⠀⠀⠀⠀⠀⠉⠙⢲⠃⠀⠀⣰⣿⣿⠟⣿⡄⠈⡆
⠀⠸⡄⠘⠿⠿⠿⠛⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣘⣛⣘⣛⣃⠀⠀⠀⠀⠀⠀⠀⠀⠘⠀⠀⢠⣿⣿⣿⣤⣿⡇⢠⠇
⠀⠀⡇⠀⠀⠀⠀⣀⠤⠔⠒⠒⠉⠉⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠉⠉⠑⠒⠤⢄⡀⠀⠀⠀⠀⠀⠹⢿⣿⣿⡿⢣⠎⠀
⠀⢠⠇⠀⢀⡤⠊⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠒⠤⣀⠀⠀⠀⠀⠀⢼⠁⠀⠀
⠀⡏⠀⢠⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠓⢄⠀⠀⠀⠘⡄⠀⠀
⢸⠁⠀⡏⠀⠀⡤⢄⣀⠀⠀⠀⠀⠈⠙⠲⠄⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠳⡀⠀⠀⡇⠀⠀
⡎⠀⡜⠀⠀⢰⣇⠎⠃⠉⠑⠒⠦⠤⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣠⠀⠀⡇⠀⠀⢣⠀⠀
⡇⢸⠁⠀⠀⠀⣯⠀⠀⠀⠀⠀⠀⠀⠀⠀⡏⡗⠀⠀⠀⠀⠀⢠⠗⡖⠒⠒⠒⠒⠒⠊⠉⠉⢣⢸⠀⠀⡇⠀⠀⢹⠀⠀
⡇⠀⡗⠀⠀⠀⠈⢦⡀⠀⠀⠀⠀⠀⠀⢀⡷⠃⠀⠀⠀⠀⠀⠸⣷⠁⠀⠀⠀⠀⠀⠀⠀⠀⢀⡿⠀⠀⡇⠀⠀⢸⠀⠀
⣧⣾⣿⡿⠂⠀⠀⠓⠯⣶⡤⠤⣀⣠⠔⢻⠒⠒⠐⠒⣲⠀⠀⠀⠘⢦⣀⠀⠀⠀⣀⣀⡤⠔⠋⠀⠀⠠⡇⠀⠀⡞⠀⠀
⡇⠀⢰⣇⣀⣀⡀⠀⠀⠀⠀⠀⠘⠉⠀⠈⢧⣀⣠⠞⠁⠀⠀⠀⠀⠈⠙⠛⠉⠉⠉⠉⠉⠀⠀⠀⠀⢜⡁⠀⠀⡇⠀⠀
⡇⠀⣾⣿⣿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⡟⠁⠀⢰⠃⠀⠀
⢱⠀⠛⠉⠈⣇⣀⣤⡤⠀⠀⠀⠀⢲⣄⠀⠀⣀⡀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠲⢶⣦⣤⣶⠒⠛⠉⠀⠀⢸⠄⠀⠀
⢨⠀⠀⠀⠀⠻⠿⠿⠒⠂⠀⠀⡴⠊⢠⠏⠈⠀⠈⠉⠁⠉⠋⠀⠀⠀⠀⢰⣦⣄⠀⠚⠛⠛⠛⠃⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣟⡷⠋⠀⠀⠀⠀⠀⠠⠤⠤⠤⠤⠖⠒⠚⠋⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀