[cc]⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⠤⠀⠀⠀⠤⠤⣀⡀⠀⠀⠀⣀⠠⠤⠀⠒⠀⠠⠤⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠔⠊⠁⠀⠀⠀⠀⠀⠀⠀⠀⠉⠢⢔⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠒⢄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠊⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⡀⠀⠀⠀⠱⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠣⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⡐⠁⠀⠀⠀⠀⡀⠤⠐⠊⠉⠉⠉⠉⠉⠉⠉⠑⠢⢴⣀⠤⠐⠒⠉⠉⠉⠉⠉⠉⠉⠉⠓⠒⠤⣀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⡐⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⣀⡤⠤⠐⠒⠒⠒⣓⠒⠤⣀⠀⣀⡤⠤⠒⠒⣒⣀⣀⣀⣒⠚⠣⢄⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠔⣊⠥⠔⣂⠭⠍⠀⠀⠀⠠⠬⢍⡈⣏⡤⠔⠊⣉⡡⠤⠄⠀⠀⡀⠀⠤⠤⢵⠀⠀
⠀⠀⠀⠀⠀⡠⠊⡅⠀⠀⠀⠀⠀⠀⠀⣠⠔⠉⢐⠭⠐⠊⠁⠀⠀⣤⠾⢿⣿⣶⡄⠀⠈⠧⠔⠊⠁⠀⠀⠀⢠⡾⠛⣿⣿⣦⡀⠀⠐⠀
⠀⠀⠀⢠⠊⠀⠀⠃⠀⠀⠀⠀⠀⢔⠉⣀⠔⠊⠀⠀⠀⠀⠀⠀⢸⣿⣦⣼⣿⠛⣻⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣶⣿⣏⣉⡇⠀⢠⠀
⠀⠀⡰⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠀⠑⠢⢄⠀⠀⠀⠀⠀⠘⣿⣿⠛⣿⣿⡟⠀⢀⡦⢀⣀⠀⠀⠀⠀⠹⣿⣏⣻⣿⣿⠧⠔⡇⠀
⠀⠰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠢⢄⡈⠐⠂⠤⠄⣀⣈⣙⣛⡛⠩⠄⣀⠴⠉⠑⠦⣭⣉⣉⣉⣉⣉⣉⣉⡡⢤⠖⠊⠀⠀
⢠⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠈⠉⠑⠒⠒⠒⠒⠒⠒⣒⡪⠉⠁⠀⠀⠀⠀⠈⠢⣀⣀⣀⣀⡀⠤⠔⢧⠀⠀⠀⠀
⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠉⠉⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠀⠀⠀⠀⠀⠀⠀⢣⠀⠀⠀
⡇⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣆⡀⠀
⠃⠀⠀⠀⠀⠀⠀⠀⡏⠀⠀⣰⠋⠉⠉⠉⠉⠉⠓⠒⠒⠒⠤⠤⠤⠤⣤⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⡤⠤⠖⠒⠊⠉⠀⢀⡟⠀
⢰⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⢧⠀⠀⢠⣶⣤⣤⣤⣀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠁⠀⠀⠀⠀⠀⠀⣀⣀⣠⣤⡔⠋⠀⠀
⠀⢆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠢⡀⠀⠈⠙⠛⠿⢿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣾⣿⣿⣿⣿⣷⠀⠀⢱⠀⠀⠀
⠀⠀⠢⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠳⣄⡀⠀⠀⠀⠀⠉⠉⠛⠛⠻⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠛⠁⠀⠀⡸⠀⠀⠀
⠀⠀⠀⠑⠠⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠓⠲⠤⢄⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡴⠁⠀⠀⠀
⠀⠀⠀⠀⠀⠈⠂⠄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠛⠒⠒⠤⠤⢤⣀⣀⣀⣀⣀⣀⣀⣀⣠⠤⠤⠔⡲⠋⠁⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠒⠤⢄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡠⠐⠉⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠒⠒⠂⠤⠤⠤⠄⠀⢀⣀⣀⣀⣀⣀⡀⠀⠤⠤⠄⠒⠂⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀[cc]