⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣄⠀⠀⠀⠀⠀⠀⠀⠀⣄⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣆⠀⠀⠀⠀⠀⠀⣼⣿⣧⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣆⣠⣤⣤⣀⣼⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢀⣤⣤⣄⡀⠀⠠⢤⣬⣿⣿⣿⠛⠻⢿⡿⠛⢻⣿⣿⣿⣤⡤⠀⠀⠀⠀⠀ ⠀⢰⣿⣿⣿⣿⣿⡈⡻⠛⠛⠿⠿⣿⡀⠘⡻⣀⠘⣻⡿⠿⠿⠛⠻⢿⣋⣀⠀⠀ ⠀⠘⣿⣿⣿⣿⡿⠉⠉⠉⠉⠉⠉⠉⠉⠁⠀⠀⠀⡀⠀⠀⠀⠀⠀⣸⠿⠃⠀⠀ ⠀⢠⠉⠉⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⡇⠀⠀⡀⠔⠊⠀⠀⠀⠀⠀ ⠀⠘⢄⠀⠀⣀⡀⠀⢀⠴⠭⠤⠤⠤⠤⠤⠤⡈⠛⠁⣴⣭⣤⣤⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠉⠁⠀⠈⠉⠀⠀⠀⠀⢀⡀⠀⠀⠀⣿⣶⣾⣿⣿⣿⣿⠤⣤⡄⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⡉⠌⠀⠀⠀⣿⣿⣿⡟⠛⢻⡏⠄⣻⡇⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠵⠬⢄⡠⠊⣿⣿⣿⡟⡆⠘⠛⠚⠛⠃⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠯⢏⡣⠊⠀⠀⣿⣿⣿⡇⡇⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡠⠐⠒⢿⣿⣿⠇⡉⠐⢢⠄⡀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡀⠀⠀⡘⠀⠀⠀⣠⡇⡇⠀⠙⢭⡹⠐⠊⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢌⠉⠉⣤⣤⣤⣴⣵⡇⣧⣤⣤⣤⣤⡀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠚⠛⠛⠛⠛⠛⠁⠙⠛⠛⠛⠛⠃