⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⠴⠤⠤⠴⠄⡄⡀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⣠⠄⠒⠉⠀⠀⠀⠀⠀⠀⠀⠀⠁⠃⠆⡄⠀⠀
⠀⠀⠀⠀⠀⢀⡜⠁⠀⠀⠀⢠⡄⠀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠑⡄⠀⠀⠀⠀
⠀⠀⠀⠀⠀⢈⠁⠀⠀⠠⣿⠿⡟⣀⡹⠆⡿⣃⣰⣆⣤⣀⠀⠀⠹⡄⠀⠀⠀
⠀⠀⠀⠀⠀⣼⠀⠀⢀⣀⣀⣀⣀⡈⠁⠙⠁⠘⠃⠡⠽⡵⢚⠱⠂⠛⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⡆⠀⠀⠀⠀⢐⣢⣤⣵⡄⢀⠀⢀⢈⣉⠉⠉⠒⠤⠀⠿⠀⠀
⠀⠀⠀⠀⠘⡇⠀⠀⠀⠀⠀⠉⠉⠁⠁⠈⠀⠸⢖⣿⣿⣷⠀⠀⢰⡆⠀ ⠀ ⠀⠀⠀ free game
⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⢀⠃⠀⡄⠀⠈⠉⠀⠀⠀⢴⠀⠀⠀⠀
⠀⠀⠀⠀⢈⣇⠀⠀⠀⠀⠀⠀⠀⢰⠉⠀⠀⠱⠀⠀⠀⠀⠀⢠⡄⠀⠀⠀⠀⠀⣀⠔⠒⢒⡩⠃⠀⠀
⠀⠀⠀⠀⣴⣿⣤⢀⠀⠀⠀⠀⠀⠈⠓⠒⠢⠔⠀⠀⠀⠀⠀⣶⠤⠄⠒⠒⠉⠁⠀⠀⠀⢸⡀⠀⠀⠀⠀
⡄⠤⠒⠈⠈⣿⣿⣽⣦⠀⢀⢀⠰⢰⣀⣲⣿⡐⣤⠀⠀⢠⡾⠃⠀⠀⠀⠀⠀⠀⠀⣀⡄⣠⣵⠀⠀⠀
⠀⠀⠀⠀⠘⠏⢿⣿⡁⢐⠶⠈⣰⣿⣿⣿⣿⣷⢈⣣⢰⡞⠀⠀⠀⠀⠀⠀⢀⡴⠋⠁⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠈⢿⣿⣍⠀⠀⠸⣿⣿⣿⣿⠃⢈⣿⡎⠁⠀⠀⠀⠀⣠⠞⠉⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠈⢙⣿⣆⠀⠀⠈⠛⠛⢋⢰⡼⠁⠁⠀⠀⠀⢀⠔⠁⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠚⣷⣧⣷⣤⡶⠎⠛⠁⠀⠀⠀⢀⡤⠊⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠈⠁⠀⠀⠀⠀⠀⠠⠊⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠃⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠁⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠃⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠁⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡆⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢁⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠀