⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠤⠄⠐⠒⠉⠉⠉⠋⠉⠉⠉⠉⠐⠂⠤⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠤⠒⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢵⣤⡀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⢀⡤⠚⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠈⣳⡄⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⢀⠔⠋⠀⠀⠀⠀⠀⢀⡠⠄⠒⠈⠉⠉⠀⠀⠈⠉⠉⠑⠂⢤⡀⠀⠀⠀⠀⠀⠠⣼⠇⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⣇⠀⠀⠀⠀⠀⠀⠸⢧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠓⢄⠀⠀⣀⠜⠁⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠙⢦⡀⠀⠀⠀⠀⠀⠀⠙⢦⠀⠀⠀⠀⠀⠀⣀⠴⠋⠝⣦⡀⠀⠀⠀⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠙⢄⠀⠀⠀⠀⠀⠀⠀⠑⢄⠀⠀⢀⠞⠁⠀⠀⠀⠀⠉⡆⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣤⡀
⠀⠀⣀⡀⠀⠀⠀⠀⠀⠀⠑⢄⠀⠀⠀⠀⠀⠀⠁⢷⡞⠁⠀⠀⠀⠀⠀⠀⡾⠃⠀⠀⠀⠀⠀⠀⣠⣾⣿⣿⣿⣷
⠀⣸⣿⣿⣦⡀⠀⠀⠀⠀⠀⠈⠳⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠦⠊⠀⠀⠀⠀⠀⠀⢀⣾⣿⣿⣿⣿⣿⣿
⢠⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠈⢳⠆⠀⠀⠀⠀⠀⠀⠀⠀⣴⠁⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿
⣼⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⢀⡠⠊⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠑⢄⠀⠀⠀⠀⠀⠀⠀⠈⠻⣿⣿⣿⣿⣿⡿
⣿⣿⣿⡿⠛⠁⠀⠀⠀⠀⢀⡔⠁⠀⠀⠀⠀⠀⢠⡆⠀⠀⠀⠀⠀⠀⠀⠑⣄⠀⠀⠀⠀⠀⠀⠀⠈⠻⣿⣿⣿⠃
⠻⠿⠋⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⢠⣴⠞⠑⢄⠀⠀⠀⠀⠀⠀⠀⠈⠓⣄⠀⠀⠀⠀⠀⠀⠀⠈⠉⠁⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠑⢄⠀⠀⠀⡰⠜⠁⠀⠀⠈⠳⣆⠀⠀⠀⠀⠀⠀⠀⠈⠳⢄⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⡠⠖⠉⠳⡀⠀⠀⠀⠓⠒⠊⠀⠀⠀⠀⠀⠀⠀⠈⠢⡄⠀⠀⠀⠀⠀⠀⠀⠈⠳⣄⠀⠀⠀⠀⠀⠀⠀
⠀⠀⢠⣞⠁⠀⠀⠈⠈⠢⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢦⡀⠀⠀⠀⠀⠀⠀⠀⠀⢵⡀⠀⠀⠀⠀⠀
⠀⠀⢿⣏⠆⠀⠀⠀⠀⠀⠈⠐⠤⣀⡀⠀⠀⠀⠀⠀⠀⠀⢀⡀⠤⠐⠛⠀⠀⠀⠀⠀⠀⠀⠀⣸⡿⠀⠀⠀⠀⠀
⠀⠀⠈⠻⡄⠁⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠑⠒⠒⠒⠈⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡤⠋⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠙⢧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⢀⠶⠊⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠈⠳⢤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡠⠔⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠂⠠⢄⣀⣀⣀⣀⣀⣀⣀⣀⣀⠤⠄⠒⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀