⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣠⣤⣤⣀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣤⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀
⠀⠀⠀⠀⠀⠀⠀⢀⣴⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀
⠀⠀⠀⠀⢀⣀⢾⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠛⢋⣭⡍⣿⣿⣿⣿⣿⣿⠀
⠀⢀⣴⣶⣶⣝⢷⡝⢿⣿⣿⣿⠿⠛⠉⠀⠀⣰⣿⣿⢣⣿⣿⣿⣿⣿⣿⡇
⢀⣾⣿⣿⣿⣿⣧⠻⡌⠿⠋⠁⠀⠀⠀⠀⢰⣿⣿⡏⣸⣿⣿⣿⣿⣿⣿⣿
⣼⣿⣿⣿⣿⣿⣿⡇⠁⠀⠀⠀⠀⠀⠀⠀⠈⠻⢿⠇⢻⣿⣿⣿⣿⣿⣿⡟
⠙⢹⣿⣿⣿⠿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⢿⣿⣿⡿⠟⠁
⠀⠀⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀
⠀⠀⠀⠀⡏⢢⡁⠂⠤⣀⣀⣀⣀⣀ ⠤⠐⢈⡔⢹
⠀⠀⠀⠀⢿⡀⠙⠆⠀⠉⠀⠀⠀⠀⠉⠀⠰⠋⢀⡿
⠀⠀⠀⠀⠈⢷⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⡾⠁
⠀⠀⠀⠀⠀⠀⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹
⣰⠊⠉⠉⠉⡇⠀⠢⣤⣄⠀⠀ ⣠⣤⠔⠀⢸
⠙⠓⠒⢦⠀⠱⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠎
⠀⠀⠀⠀⡇⠀⠀⠏⠑⠒⠀⠉⠀⠒⠊⠹
⡎⠉⢹⠀⠙⡶⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢦⠀⠀⡏⠉⢱
⢧⡈⠛⠉⠉⠀⠀⣠⠀⠀⠀⠀⠀ ⠀⠀⣄⠀⠉⠉⠋⢁⡼
⠀⢉⣿⠖⠚⠛⢋⢀⠀⠀⠀⠀⠀⠀⠀⡀⡙⠛⠓⠲⣿⣄
⠀⢸⡇⠀⠀⠀⡞⠁⠈⡃⠀⠀⠀⠀⢘⠁⠈⢳⠀⠀⠀⢸⡇
⠀⠈⢷⣄⠀⠀⠙⠦⠌⠑⠢⠤⠔⠊⠁⢠⠎⠀⠀⣠⡾⠁
⠀⠀⠀⠈⠛⠲⠤⣤⣀⣀⣀⣀⣠⣤⣚⣡⠤⠖⠛⠁