⠀⠀⠀⠀⠀⠀⠀⣀⡤⠶⠶⠶⠦⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⣤⠞⠉⠀⠀⠀⠀⠀⠀⠀⠀⠉⠲⡄⠀⠀⠀⠀⠀
⠀⢠⡶⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⣧⠀⠀⠀⠀
⣠⢿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⡆⠀⠀
⣟⣾⠀⠀⠀⢠⣾⡆⠀⠀⠀⠀⢠⣖⡀⠀⠀⠀⠀⠀⠙⡆⠀
⣿⣿⠀⠀⠀⢸⣿⡇⠀⠀⠀⠀⣿⣿⠀⠀⠀⠀⠀⠀⠀⢹⡆
⡿⣿⠀⠀⠀⠀⠟⠀⠀⠀⠀⠀⠸⠟⠀⠀⠀⠀⠀⠀⠀⠀⡇
⣿⢸⠀⠀⠀⠀⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇
⢹⣸⠀⠀⠀⢰⡿⡀⠀⠀⡠⣯⡟⠀⠀⠀⠀⠀⠀⠀⠀⡜⠀
⠀⢻⡇⠀⠀⠀⢟⡻⢶⣯⠟⠁⠀⠀⠀⠀⠀⠀⠀⣠⡻⠀⠀
⠀⠀⠙⣷⣀⣀⡀⠉⠉⠁⠀⠀⠀⠀⠀⣀⠔⣊⡵⠃⠀⠀⠀
⠀⠀⠀⠀⠉⠙⠛⠛⠓⠛⠛⠛⠛⠋⠉⠉⠀⠀⠀⠀⠀⠀⠀
            

⠀⠀⠀⠀⠀⠀⠀⣴⣶⣶⣶⣶⠾⠿⠿⠿⣿⣿⣿⣆⠀⠀⠀⠀⠀
⠀⠀⢠⣤⣿⡟⠃⠀⠀⠀⠀⠀⠀⠀⠀⠉⢻⣿⣦⣤⠀⠀⠀
⠀⠀⢸⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⣿⡏⠙⣶⠀
⠀⠀⣿⣿⠆⠀⠀⢰⠾⡆⠀⠀⠀⢀⡶⣦⠀⠀⠈⠻⣆⠻⣦
⠀⢸⣿⠃⠀⠀⠀⢿⣤⡇⠀⠀⠀⢸⣀⡾⠀⠀⠀⠐⣿⣴⠏
⣿⢿⣿⠀⠀⠀⠀⠈⠏⠁⠀⠀⠀⠈⠿⠇⠀⠀⠀⠀⣿⣿⡀
⠘⣿⣿⠀⠀⠀⠀⣠⠀⠀⠀⠀⠀⢀⣀⠀⠀⠀⠀⢸⣿⣿⠃
⠀⡟⢿⣷⡄⠀⠀⠈⠢⡄⠀⢀⡠⠞⠀⠀⠀⠀⠀⣿⣿⡏⠀
⠀⢿⣿⣿⠀⠀⠀⠀⠀⠈⠉⠁⠀⠀⠀⠀⠀⠀⢠⣿⣿⡇⠀
⠀⢸⣧⢿⣧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⡼⣿⡿⠃⠀
⠀⠈⠙⠻⠇⠙⠛⠓⠒⠒⠒⠒⠒⠛⠛⠛⠉⠁⠀⠛⣷⠀⠀