⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡠⠤⠤⡀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠊⡠⣖⠢⡌⢆
⠀⠀⡔⠊⣩⣉⡑⡄⠀⠀⢠⢄⡀⠀⣀⢀⠔⠹⠀⠀⠀⠈⢄⠣⠥⢃⠆⡌
⠀⠸⠀⢎⠙⡳⢸⡸⠀⠀⡸⠄⠈⠁⠀⠀⢀⠀⠑⡀⠀⠀⠈⡑⡖⠓⠊⠀
⠀⠀⠑⠄⣉⢤⠗⠁⠀⠀⠃⠀⠐⠠⡠⠤⠌⠁⠀⡇⠀⠀⠀⢇⠃⠀⠀⠀
⠀⠀⠀⠀⠀⠈⢞⡄⠀⠀⢣⠀⠀⠀⣠⣠⡄⠀⠐⠓⠂⠒⢺⠬⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠈⢶⠐⠊⠁⠀⠀⠀⠘⠉⠁⠀⠀⡔⠒⠈⠁⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠁⡇⠀⠀⠀⠀⠀⠀⠀⠇⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⢀⣀⠠⠤⠄⠀⠀⠀⠀⣠⠀⠀⠀⠀⠀⠀⠐⠀⢄⠀⠀⠀⠀⠀⠀⠀
⠈⠁⠀⢀⣀⠠⠄⠀⠐⠎⣁⡜⠀⢀⡀⠤⠤⠄⢤⠀⡜⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠉⠀⠀⠀⣀⠀⠀⠀⡜⣀⠔⠁⠀⠀⠀⠀⠈⠉⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠐⠂⠉⠁⠀⠀⠀⠀⠉⠀⠀⠀⠀⠀⠀⠀⠀

⢀⣶⣿⠟⢻⣿⡄⠀⢠⣾⡿⠛⠿⣷⡄⠀⢰⣾⡿⠛⣿⣧⠀⠿⣿⡇⠀⠀⠀ ⠀
⠈⢀⣠⣼⣿⠃⠀⣾⡿⠀⠀⠀⢻⣿⠀⠀⠁⣀⣴⣿⡟⠀⠀⠀⣿⡇⠀⠀⠀ ⠀
⣰⣿⠟⠋⠀⠀⠀⣿⣷⠀⠀⢀⣿⡟⠀⢀⣾⡿⠛⠁⠀⠀⠀ ⣿⡇⠀⠀⠀ ⠀
⣿⣿⣶⣶⣿⠿⠀⠘⢿⣷⣶⣿⠟⠁⠀⣿⣷⣶⣾⡿⠇ ⣶⣿⣷⡆