⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢾⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣿⣿⣿⣿⣿⣿⣿⣷⣶⣶⣶⣤⣄⡀ ⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣀⣀⣤⣤⣤⣶⣶⣶⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⠟⠿⠿⣿⣿⣿⡿⠿⠿⠿⠟⠛⠛⠛⠋⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠓⠦⡀ ⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣀⣠⣤⣶⣾⣿⣿⣿⣿⣿⣿⠿⠟⠙⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠤⠤⠤⠤⠤⢴⣶⣖⣒⣒⣒⣒⣒⠒⠒⠲⠤⠄ ⠀⠀⠀⠀⠀⠀⠀
⠀ ⢀⣀⣀⣤⣤⣶⣾⡿⠿⠛⠛⠛⠛⠉⠉⠉⢀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠤⠤⣶⠶⠾⣿⡿⠿⠿⢻⣿⣿⡟⠛⠛⢻⢿⣿⡿⣦⡀ ⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀ ⣀⣀⣀⣤⠤⢴⣒⣒⣋⣉⣉⣠⡤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⠏⠀⠀⠹⡄⠀⠀⠈⢩⡿⠇⠀⢀⠎⣾⣿⠇⠀⠈ ⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀ ⣠⣶⣶⠶⠿⠿⠿⣿⠟⠛⠫⣿⣿⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⡏⠀⠀⠀⠀⠘⠢⣄⣀⠀⢀⠀⡠⢊⣼⣿⣏⠁ ⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀ ⠉⢿⣿⡄⠀⠀⠀⠻⣄⠀⠐⠡⠊⠀⠙⢿⠶⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣁⣁⣀⠀⣀⣀⣀⣀⣀⠀⠠⢐⣨⣴⣿⠟⠉ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀ ⠈⢿⣯⡢⡀⠀⠀⠈⠙⠒⠒⠒⣂⡀⣤⡅⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠓⠒⠶⠶⠶⠿⠛⠛⠉⠉ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀ ⠠⠽⠿⣿⣴⣀⣐⣲⣬⡽⠷⠚⠉ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠈⠀⠀⠀⠊⠉ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀