⠀⠀⠀⠀⠀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⣤⣤⣀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⢀⣀⡙⠻⢶⣶⣦⣴⣶⣶⣶⠾⠛⠛⠋⠉⠉⠉⠉⠙⠃⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠉⠉⠙⠛⠛⠋⠉⠉⠡⣤⣴⣶⣶⣾⣿⣿⣿⣛⣩⣤⡤⠖⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⢠⣴⣾⠂⣴⣦⠈⣿⣿⣿⣿⣿⣿⠿⠛⣋⠁⠀⠀⠀⠀⠀
⠀⠀⠀⠀⢀⣼⣿⣶⣄⡉⠻⣧⣌⣁⣴⣿⣿⣿⣿⣿⣿⡿⠛⠁⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣦⡈⢻⣿⣿⣿⣿⡿⠿⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⡀⢻⣿⣿⣿⣿⣿⣿⣿⡄⠙⠛⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⢠⣷⣄⡉⠻⢿⣿⣿⣿⠏⠠⢶⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⢸⣿⣿⣿⣶⣤⣈⠙⠁⠰⣦⣀⠉⠻⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠘⢿⣿⣿⣿⣿⣿⡇⠠⣦⣄⠉⠳⣤⠈⠛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⢠⣌⣉⡉⠉⣉⡁⠀⠀⠙⠗⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠹⢿⣿⣿⣿⣿⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠙⠻⣿⣿⠟⢀⣤⡀⠀⠀⠀⠀⠀⠀⣀⣀⣠⣤⣤⣤⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⠿⠿⡿⠂⣀⣠⣤⣤⣤⣀⣉⣉⠉⠉⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠙⠛⠛⠛⠛⠋⠉⠉⠁⠀⠀⠀⠀