⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡠⠄⠊⠁⠀⠀⠀⠀⠀⠉⠑⠒⠠⡄⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠎⠀⠀⠀⠀⠀⠔⠒⠢⠄⠀⠀⠀⠀⠀⠀⠑⠄⡀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠀⠀⠀⠀⠀⠀⠀⠆⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠐⠂⠉⠁⠀⠀⠘⡄⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⢀⠌⠁⠀⠀⠀⠉⠀⠄⠀⠀⠀⣀⠉⠀⠐⠃⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⡀⠀⢀⣀⣀⣀⣀⣀⠤⠤⠤⠤⠀⣘⠀⠀⠈⠀⣀⣀⣀⣀⡆⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠈⡄⠧⠀⠀⠀⠀⠉⠉⣿⠮⣹⣷⡶⡄⢸⠆⠀⠐⢾⠓⣶⡆⠀⣻⡄⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠀⠀⠀⠀⠀⠀⠀⠛⠤⣤⣀⣀⣀⡼⠀⠀⠀⢿⣀⣉⣁⣀⣿⠇⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠡⡀⠁⠲⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠦⡀⠀⠀⠘⢸⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢱⠀⠀⠽⡤⠀⠀⠀⠀⠀⠀⠪⠁⠀⠀⠀⡠⠁⠀⠀⢑⠏⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠒⡷⡁⠀⠀⠀⡎⠀⣄⣔⣆⡖⡀⣤⠀⠀⠠⠛⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠜⠀⠀⠀⠀⡼⢤⠀⠀⠀⠸⣿⣿⣿⣿⣿⣿⠘⣨⠇⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡸⠀⠀⠀⠀⠀⠀⠺⢲⣂⢀⠀⠻⣿⣿⡿⠟⠡⢴⠉⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⢀⡐⠁⠀⠀⡀⠉⠀⠀⠀⠀⠈⢻⣦⣆⣆⣰⣲⡴⠻⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⡈⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⡈⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀