⠀⠀⠀⠀⠀⠀⣀⠤⠔⠒⠒⠶⠤⠤⠤⠤⠤⠤⢤⣤⣤⣀⡀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⢀⡞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⡠⠚⠁⠀⠀⠀⠉⠛⢦⡀⠀⠀⠀⠀
⠀⠀⠀⠀⡜⢀⣀⣀⡀⠀⠀⠀⠀⠀⠀⡸⠀⠀⠀⢀⠤⢄⡀⠀⠀⠹⡀⠀⠀⠀
⠀⠀⠀⢠⠃⡼⢿⣷⡝⡄⢨⣿⣯⡑⡄⡇⠀⠀⠀⠇⠀⠀⠹⡀⠀⠀⡇⠀⠀⠀
⠀⠀⠀⠸⡄⣷⣾⣿⢃⠇⠸⣬⣿⡇⠇⡇⠀⠀⠰⠀⠀⠀⢠⠃⠀⠀⡇⠀⠀⠀
⠀⠀⠀⠀⢧⠈⢻⠟⠁⠀⠈⠛⠿⠝⠃⠸⡀⠀⠀⠣⣀⡠⠎⠀⠀⢠⠃⠀⠀⠀
⠀⠀⠀⠀⠘⣗⢀⠠⠤⠀⢀⡀⠀⣀⠀⠀⠱⣄⠀⠀⠀⠀⠀⠀⣠⠏⠀⠀⠀⠀
⠀⠀⠀⠀⠀⢹⡙⢢⢀⣠⠔⠀⠀⠀⠀⠈⡍⢻⠙⠲⠶⠶⠖⠚⠁⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⡇⠀⢷⣤⣬⣍⣱⣶⣶⠖⠉⠹⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⢻⠀⢸⣿⣿⣿⣿⣿⠃⠀⠀⠀⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⢸⠢⢏⣐⣋⣩⠟⠁⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⡜⠉⠀⠒⠂⠀⠤⠄⢀⡀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⢰⠁⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠘⠒⠉⠉⠙⢧⣀⣤⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠋⠙⠢⠤⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀