⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⡀⢢⣄⠀⢰⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣶⠀⣤⠈⣁⣘⣛⠳⠄⠃⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣠⣤⣤⡀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠣⠰⣦⡀⣿⣿⠟⠳⣄⠀⠆⠄⡲⠿⢿⡿⠋⠀⠀⠀⠀⢀⡠⠶⠛⠉⠁⠀⠀⠈⢣
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢿⣿⠘⣿⡇⢻⡇⠀⠀⠸⡆⠀⢀⡠⠖⠁⠀⠀⠀⠀⡠⠖⠉⠀⠀⠀⠀⠀⠀⠀⠀⢠
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⡢⢈⠳⢀⠻⣄⠀⠀⠁⠈⠀⠉⣿⡟⠃⡀⠐⠁⠀⠀⠀⠀⠀⢀⠖⠐⠀⠀⠀⡌
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣾⡋⠁⠀⢀⡀⠅⠈⢡⠀⠤⠶⠶⠚⢉⠄⠈⠀⠀⠀⠀⠀⠀⠀⠀⠘⣦⣀⢀⡠⠎⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠛⠛⠉⢁⠃⡜⢀⡇⡴⠺⣇⠠⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠁⠀⠀⠀
⠀⣠⠶⠛⠛⠛⠲⠤⣄⠀⠀⠀⠀⠀⠀⠀⣾⣿⣷⠎⠀⠉⠉⡷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣼⠃⠀⠀⠀⠀⠀⠀⠀⠑⢦⠀⠀⠀⠀⠀⠘⠋⠀⠀⠀⠀⢠⡇⠀⠀⠀⠀⠀⢀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⡇⠀⠀⣠⠖⢤⠀⠀⠀⠀⠀⠑⡄⠀⠀⠀⠀⠀⡆⢄⠀⢀⠎⠀⢀⠀⠐⠀⠁⠀⣀⣀⠀⠑⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀
⢣⠀⠀⠣⠀⠀⡆⠀⠀⠀⠀⠀⠘⡀⠀⠀⠀⠀⠈⢒⠕⠓⠒⠉⠀⠀⠀⠀⠀⠌⠀⠀⠃⢀⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠣⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠀⠀⠀⡠⠂⠡⠁⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠒⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡠⠔⠁⢀⠔⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⢺⠀⠠⠐⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡃⡸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀