⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⣿⣿⣿⣿⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⡿⠻⣿⣿⠟⢿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣤⣤⣿⣿⣤⣤⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⢀⣀⣀⠀⠀⠀⢻⣄⠙⠛⠛⠋⣠⡟⠀⠀⠀⣀⣀⡀⠀⠀⠀⠀⠀
⠀⠀⠀⢰⣿⣿⡏⠉⣡⣾⣿⣿⠿⢿⡿⢿⡿⠿⣿⣿⣷⣌⠉⢹⣿⣿⡆⠀⠀⠀
⠀⠀⠀⢸⣿⡿⠛⠂⢸⣿⣿⣿⢀⣠⣄⣠⣄⡀⣿⣿⣿⡇⠐⠛⢿⣿⡇⠀⠀⠀
⠀⠀⠀⠀⠉⠃⠘⠿⢿⣿⣿⣿⣿⣿⠋⠙⣿⣿⣿⣿⣿⡿⠿⠃⠘⠉⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢨⣿⣿⣿⣶⣶⣿⣿⣿⡅⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⣿⣿⣄⣠⣿⣿⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠘⠻⣿⣿⣿⣿⠟⠻⣿⣿⣿⣿⠟⠃⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⣠⣶⠀⠋⡉⠙⠁⠀⠀⠈⠋⢉⠙⠀⣶⣄⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⢿⣿⣷⣾⡇⠀⠀⠀⠀⠀⠀⢸⣷⣾⣿⡿⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀