⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⡠⠔⠉⠀⠀⠀⠀⠀⠈⠉⠒⠦⠄⡀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⢠⣾⣤⣤⣤⣤⡄⠀⠀⠀⠀⠀⠀⠀⠀⠈⠢⡀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⣰⡿⠉⣹⣿⣿⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠨⣆⠀⠀⠀⠀⠀
⠀⠀⠀⢠⡗⣡⣾⣿⠋⡘⠉⢳⡄⠀⠀⠀⠀⠀⠀⠀⠀⢿⣷⡀⠑⠄⠀⠀⠀
⠀⠀⢀⠎⠰⠁⢻⣿⣾⣄⣀⣼⣿⠀⠀⠀⠀⣠⣴⡖⠶⠒⢻⣷⣦⡈⢳⠀⠀
⠀⢠⡾⠀⡗⡀⠀⠉⠛⠿⢿⡿⠃⠀⠀⠀⢸⠀⢿⣇⣇⢀⣸⣿⠉⠁⢸⡀⠀
⠀⣣⠃⠀⢘⣈⣴⣶⡀⠒⠈⠀⠀⠀⠀⠀⠈⢆⠈⠛⠿⠿⠿⢻⠀⠀⠈⢷⠀
⢰⡇⠰⡉⠢⣀⡠⢂⠉⠒⠠⣀⠀⠀⠀⠀⠀⠀⠂⠄⠠⠄⠀⡎⠀⠀⠀⢸⠀
⢸⠀⠀⢱⠀⠀⠀⠈⠢⠠⠜⡇⠙⠢⡀⠀⠀⠀⠀⠈⠒⡒⢸⠀⠀⠀⠀⢸⡇
⢸⠀⠀⠀⢇⠀⠀⠀⠀⠀⠀⠙⠤⠴⢆⠁⢒⠒⠒⠄⠀⠈⠁⠀⠀⠀⠀⣿⠀
⣸⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠻⠠⠞⢸⠀⠀⠀⠀⠀⠀⢠⠸⠀
⢻⠀⠀⠀⠀⠰⢄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠎⠀⠀⠀⠀⠀⢀⢆⠇⠀
⠈⣇⠀⠀⠈⣆⠏⠁⣇⢠⠀⠀⠀⠀⠀⣀⡀⡰⠁⠀⠀⠀⠀⠀⠀⣼⠋⠀⠀
⠀⠘⣆⠀⠀⠈⠣⣔⠁⢸⠒⣑⠠⠐⠉⠉⠉⠀⠀⠀⠀⠀⠀⡠⠚⡘⠀⠀⠀