⠀⠀⠀⠀⠀⠀⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⢰⠁⡠⠐⠋⠉⠉⠉⠑⡲⠩⡉⠑⣆⠀
⠀⠀⠀⠀⠀⠸⡜⠀⠀⠀⠀⠀⠀⠀⠈⠘⠄⠀⢸⠀
⠀⠀⠀⠀⠀⢀⠃⣀⣆⠀⣤⠀⠀⠀⠀⠀⠰⣠⠞⠀
⠀⠀⠀⠀⠀⢈⡞⣿⣷⠈⠛⢄⠀⠀⠀⠀⢠⠇⠀⠀
⠀⠀⠀⠀⠀⠘⡄⢠⠀⠀⠀⠈⠆⠀⠀⣠⡞⠀⠀⠀
⠀⠀⠀⠀⣠⠞⣿⣿⣷⢶⣶⣾⣦⣴⠊⠁⠉⢦⡀⠀
⠀⠀⠀⡴⠁⠀⣽⣿⠃⣾⣿⡟⠃⠘⢕⠄⠀⠀⢱⡀
⠀⠀⡸⠀⠀⢰⣷⡿⠀⣿⣿⡇⠀⠀⢘⢸⠀⠀⠀⡇
⢀⣴⠓⡒⠒⢿⣿⡇⠀⣿⣿⡇⣀⣀⣎⠂⠀⠀⠀⢹
⣼⠁⠀⠀⠀⡀⡗⡊⡉⠛⢿⠋⠀⠀⢻⡄⠀⠀⢀⡞
⢱⠀⠀⠀⠀⢸⠃⠀⠀⠑⡀⠉⠢⠀⠀⢙⡶⠶⠋⠀
⠈⠳⣄⠀⠀⣸⡀⠀⠀⠀⠐⡀⠀⢁⡠⠞⠀⠀⠀⠀
⠀⠀⠀⠉⠉⠀⠳⣄⠀⠀⢀⢇⡴⠋⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⡇⡇⠀ ⠀⠀⡇
⠀⠀⠀⡆⡇⠀ ⠀⠀⡇⡄
⠀⠀⠀⠁⡇⠇⠀⡂⡇⡇
⠀⠀⠀⡇⣇⠃⠀⣇⣁⡇
⠀⠀⠀⣧⣿⣷ ⣾⣿⡷
⠀⠀⠀⠘⣿⣿ ⣿⡏
⠀⠀⠀⠀⢸⣿ ⣿⡇⠀⣀
⠀⠀⠀⠀⣸⣿ ⣿⡷⠛⣿
⠀⢀⠀⠀⣿⣿⡿⣷⣶⣿⣤⡴⠞⢿
⠀⢸⠀⠀⣿⣿⣿⠰⢹⡿⢿⣿⣤⠟
⠀⠘⢸⠀⣿⣿⣿⣏⣽⣄⣃⣿⡇
⠀⢸⢨⢠⣼⣿⣿⣿⣿⣿⣿⡟
⠀⠘⣠⡌⢿⣿⣿⣿⣿⣿⣄⠀
⠀⢸⣿⡿⢸⣿⣿⣿⣿⣿⣿⣧
⠀⠀⣿⡇⠀⣿⣿⣿⣿⣿⣿⣿⣧
⠀⠀⣿⣧⣶⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏
⠀⠀⠀⠻⠿⠟⠛⠻⠿⣿⣿⠏⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡇⠀⠀⠀⠀⠈⣿⡄
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⣄⠀⠀⠀⢀⣿⠇
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⢷⣶⣶⠿⠋