⠀⠀⠀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⣿⡇⠀⠀⠀⠀⣿⡟⠛⠛⠛⠛⣿⡇⠀⠀⠀
⠀⣤⣤⣿⣧⣤⡄⠀⠀⣿⣧⣤⣤⣤⣤⣿⡇⠀⠀⠀
⠀⠉⠉⣿⡏⠉⠁⣀⣀⣉⣉⣉⠉⢉⣉⣉⣁⣀⡀⠀
⠀⠀⠀⣿⡇⠀⠀⣿⡏⠉⠉⣿⠀⢸⡏⠉⠉⢹⡇⠀
⠀⣀⣠⣿⣷⠾⠿⣿⣧⣤⣤⣿⣀⣸⣧⣤⣤⣼⡇⠀
⠀⠛⠛⣿⡇⠀⠀⣀⣀⣀⣀⣀⣿⣇⣀⣀⣀⣀⣀⠀
⠀⠀⠀⣿⡇⠀⠀⠉⠉⠉⣩⣿⣿⣿⣯⡉⠉⠉⠉⠀
⠀⠀⠀⣿⡇⠀⣀⣠⣴⠿⠋⠀⣿⡇⠈⠻⣷⣤⣀⠀
⠀⠘⠿⠿⠃⠈⠛⠋⠁⠀⠀⠀⠿⠇⠀⠀⠀⠉⠋⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⢀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⡀⠀⠀⠀⠀
⠀⠀⠀⠀⠘⠛⠛⠛⠛⣿⣿⠛⠛⠛⠛⠃⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⣀⣀⠀⠀⠀⠀
⠀⠀⠀⠀⣿⣿⣧⠀⠀⠀⠀⠀⠀⣸⣿⣿⠀⠀⠀⠀
⠀⠀⠀⠀⣿⡿⢿⣆⠀⠀⠀⠀⢠⣿⣿⣿⠀⠀⠀⠀
⠀⠀⠀⠀⣿⡇⠘⣿⡄⠀⠀⢀⣾⠏⢹⣿⠀⠀⠀⠀
⠀⠀⠀⠀⣿⡇⠀⢹⣷⠀⠀⣼⡟⠀⢸⣿⠀⠀⠀⠀
⠀⠀⠀⠀⣿⡇⠀⠀⢻⣇⣰⡿⠁⠀⢸⣿⠀⠀⠀⠀
⠀⠀⠀⠀⣿⡇⠀⠀⠈⣿⣿⠃⠀⠀⢸⣿⠀⠀⠀⠀
⠀⠀⠀⠀⣿⡇⠀⠀⠀⠈⠉⠀⠀⠀⢸⣿⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⢀⣀⣀⣀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⢸⣿⡟⠛⠛⠛⠿⣷⣦⡀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⢸⣿⡇⠀⠀⠀⠀⠈⢻⣿⡆⠀⠀⠀⠀
⠀⠀⠀⠀⠀⢸⣿⡇⠀⠀⠀⠀⠀⠀⣿⣿⠀⠀⠀⠀
⠀⠀⠀⠀⠀⢸⣿⡇⠀⠀⠀⠀⠀⠀⣿⣿⠀⠀⠀⠀
⠀⠀⠀⠀⠀⢸⣿⡇⠀⠀⠀⠀⠀⢀⣿⡿⠀⠀⠀⠀
⠀⠀⠀⠀⠀⢸⣿⡇⠀⠀⠀⠀⣠⣾⡿⠁⠀⠀⠀⠀
⠀⠀⠀⠀⠀⢸⣿⣷⣶⣶⣶⡿⠟⠋⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀