⠀⠀⠀⣤⣤⣤⣤⣀⠀⠀⣤⣤⣤⣤⡄⠀⣤⣤⣤⣤⠀⣤⣤⣤⣤⣤⠀⠀⠀⠀
⠀⠀⠀⣿⡇⠀⠈⢻⣧⠀⣿⡇⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⢠⡾⠃⠀⠀⠀⠀
⠀⠀⠀⣿⡇⠀⠀⢸⣿⠀⣿⡟⠛⠛⠀⠀⣿⠛⠛⠓⠀⠀⣠⡿⠁⠀⠀⠀⠀⠀
⠀⠀⠀⣿⡇⢀⣀⣾⠏⠀⣿⡇⠀⠀⠀⠀⣿⠀⠀⠀⠀⣴⡟⠁⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠛⠛⠛⠋⠁⠀⠀⠛⠛⠛⠛⠃⠀⠛⠛⠛⠛⠁⠛⠛⠛⠛⠛⠀
⠀⠀⠀⠀⠀⣿⣿⡄⠀⢸⣿⠀⢸⡇⠀⠀⠀⣿⠀⠛⠛⢻⡟⠛⠋⣴⡟⠋⠛⠃
⠀⠀⠀⠀⠀⣿⠘⣿⡄⢸⣿⠀⢸⡇⠀⠀⠀⣿⠀⠀⠀⢸⡇⠀⠀⠙⢿⣦⣄⠀
⠀⠀⠀⠀⠀⣿⠀⠈⢿⣾⣿⠀⢸⣇⠀⠀⠀⣿⠀⠀⠀⢸⡇⠀⠀⠀⠀⠈⢻⣷
⠀⠀⠀⠀⠀⠿⠀⠀⠈⠿⠿⠀⠈⠻⠶⠶⠾⠋⠀⠀⠀⠸⠇⠀⠀⠻⠶⠶⠿⠃

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣤⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⡷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣙⡛⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⣀⣀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⠙⣿⣧⠀⣤⣶⣄⣾⣿⣿⣷⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣇⣴⣮⡿⣿⡟⠛⠁⣙⠿⠿⠋⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⡏⣿⣿⣿⣾⣾⣿⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⢀⣀⣀⣀⣿⣿⡇⢿⣿⡇⠈⠉⠻⡿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠘⠿⠿⠿⠿⠿⠧⠿⠿⠇⠀⠀⠀⠀⠿⠿⠿⠿⠗