⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣀⠀⠀⠀⠀⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣾⣿⡀⠀⠀⢠⢿⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣼⡇⠀⠀⣾⢿⣿⢿⡇⠀⠀⣼⣿⣿⣿⠀⠀⠀⢠⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣧⠀⠀⣇⠸⣿⠈⡇⠀⠀⣿⣿⣿⣼⠀⠀⢀⣿⣧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⢻⣿⣿⡟⠀⠀⢻⠀⣿⢰⡇⠀⠀⢻⡟⣿⢺⠀⠀⡿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣤⣴⣄⡠⢄⣀⣀⡀⠀⠀⢸⣸⡏⢸⡇⠀⠀⢸⠀⣿⢸⠇⠀⠀⢸⠁⣿⣸⠀⠀⡷⢻⡇⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⣟⣿⡀⠀⠀⠀⠉⠙⠛⠛⢻⡇⠀⣧⣀⣀⢸⡀⣿⢈⡇⠀⠀⢸⠀⣿⣿⠀⠀⡇⢸⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠓⢢⣤⣀⡀⠀⠀⠀⠘⡇⠀⠀⠀⠉⠛⠋⠉⠸⠧⡀⠀⢸⠀⡇⣿⠀⠀⢷⢸⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠈⠁⠀⠉⠒⠶⢤⠀⡇⣀⣀⣀⡀⠀⠀⠀⠀⠀⠈⠙⠚⠀⢡⡃⠀⠀⠸⣼⠀⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⡇⠀⣿⠈⠛⠿⣿⡀⠀⣀⡀⠀⠀⠀⠀⠠⣌⣉⣛⠺⡏⢠⣇⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠿⠀⠀⠀⠀⡇⢀⣿⠻⠶⠤⠠⡄⢀⣈⡛⠛⢛⣂⠠⠤⡭⣽⡷⣦⡤⣄⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⡇⠀⠀⠀⠀⣿⢸⣿⠀⠀⠀⢀⡇⢸⠉⠈⠉⠹⣿⠀⡏⠓⠲⢿⣿⣟⠿⠿⣿⣷⣖⣀⣀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⢰⡇⠀⠀⠀⠀⢸⢸⠿⠀⠀⠀⠈⣧⢸⠀⠀⠀⠀⢸⣶⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⢸⠇⠀⠀⠀⠀⢸⣸⠀⠀⠀⠀⠀⣿⡞⠀⠀⠀⠀⢸⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣸⠀⠀⠀⠀⠀⠸⣿⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⢸⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠘⠃⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀