⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣿⡎⣿⣿⡟⣿⣿⣾⡟⡂⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠝⠂⠐⠢⠙⠻⣿⣯⣥⡾⢇⣶⠀
⠀⠀⠀⠀⠀⠀⠀⢀⡾⠁⠀⠀⠀⠐⣄⠀⠀⠩⣶⣭⣾⡗⠀
⠀⠀⠀⠀⠀⠀⣠⠏⠀⠀⠀⠀⠀⠀⣯⡀⠀⠀⣷⣶⣿⠀⠀
⠀⠀⠀⠀⠀⡴⠃⠀⠀⠀⠀⠀⠀⠀⣽⡇⠀⠀⢸⠘⠁⠀⠀
⠀⠀⠀⢀⡾⠁⠀⠀⠀⠀⠀⠀⢀⡜⣿⠀⠀⠀⠘⣰⠇⠀⠀
⠀⠀⡴⠋⠀⠀⠀⠀⠀⠀⠀⣰⠏⠀⠋⠀⠀⠀⠀⡿⠀⠀⠀
⠀⢸⠇⠀⠀⠀⠈⠓⠄⢀⡼⠃⡴⠋⠀⠀⠀⠀⠀⣿⠀⠀⠀
⠀⢸⠀⠀⠀⠀⠀⠀⠘⡎⣀⠈⠁⠀⠀⠀⠀⠀⠀⢸⡆⠀⠀
⠀⢸⠷⢦⣀⠀⢀⡤⠞⣴⠁⠀⠀⠀⠀⠀⠀⠀⠀⠈⣧⠀⠀
⠀⠈⠳⠤⠟⢏⠁⠀⢠⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀
⠀⠀⠀⠀⠀⠈⠳⢄⣸⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠇⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠙⢧⡀⠀⠀⠀⠀⠀⠀⢀⡴⠋⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠲⠤⠤⠤⠤⠖⠋⠀