⠀⠀⠀⠀⠀⣤⣶⣶⡶⠦⠴⠶⠶⠶⠶⡶⠶⠦⠶⠶⠶⠶⠶⠶⠶⣄⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣿⣀⣀⣀⣀⠀⢀⣤⠄⠀⠀⣶⢤⣄⠀⠀⠀⣤⣤⣄⣿⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠿⣿⣿⣿⣿⡷⠋⠁⠀⠀⠀⠙⠢⠙⠻⣿⡿⠿⠿⠫⠋⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢀⣤⠞⠉⠀⠀⠀⠀⣴⣶⣄⠀⠀⠀⢀⣕⠦⣀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢀⣤⠾⠋⠁⠀⠀⠀⠀⢀⣼⣿⠟⢿⣆⠀⢠⡟⠉⠉⠊⠳⢤⣀⠀⠀⠀ ⠀⣠⡾⠛⠁⠀⠀⠀⠀⠀⢀⣀⣾⣿⠃⠀⡀⠹⣧⣘⠀⠀⠀⠀⠀⠀⠉⠳⢤⡀ ⠀⣿⡀⠀⠀⢠⣶⣶⣿⣿⣿⣿⡿⠁⠀⣼⠃⠀⢹⣿⣿⣿⣶⣶⣤⠀⠀⠀⢰⣷ ⠀⢿⣇⠀⠀⠈⠻⡟⠛⠋⠉⠉⠀⠀⡼⠃⠀⢠⣿⠋⠉⠉⠛⠛⠋⠀⢀⢀⣿⡏ ⠀⠘⣿⡄⠀⠀⠀⠈⠢⡀⠀⠀⠀⡼⠁⠀⢠⣿⠇⠀⠀⡀⠀⠀⠀⠀⡜⣼⡿⠀ ⠀⠀⢻⣷⠀⠀⠀⠀⠀⢸⡄⠀⢰⠃⠀⠀⣾⡟⠀⠀⠸⡇⠀⠀⠀⢰⢧⣿⠃⠀ ⠀⠀⠘⣿⣇⠀⠀⠀⠀⣿⠇⠀⠇⠀⠀⣼⠟⠀⠀⠀⠀⣇⠀⠀⢀⡟⣾⡟⠀⠀ ⠀⠀⠀⢹⣿⡄⠀⠀⠀⣿⠀⣀⣠⠴⠚⠛⠶⣤⣀⠀⠀⢻⠀⢀⡾⣹⣿⠃⠀⠀ ⠀⠀⠀⠀⢿⣷⠀⠀⠀⠙⠊⠁⠀⢠⡆⠀⠀⠀⠉⠛⠓⠋⠀⠸⢣⣿⠏⠀⠀⠀ ⠀⠀⠀⠀⠘⣿⣷⣦⣤⣤⣄⣀⣀⣿⣤⣤⣤⣤⣤⣄⣀⣀⣀⣀⣾⡟⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢹⣿⣿⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⢰⠛⠛⠛⠛⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠲⢶⡄⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⣀⣿⣤⣤⠶⠶⠶⠶⠶⠶⠶⠤⢤⣀⡀⠀⠀⠘⡇⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⡜⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠒⢄⣰⠇⠀⠀⠀⠀⠀ ⠀⠀⠀⡘⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣠⣤⣶⣶⣦⠀⠀⠀⠀⠈⠢⢄⠀⠀⠀⠀ ⠀⠀⢠⠃⠀⠀⠀⠀⠀⠀⢠⣶⣿⣿⠿⠛⠋⠉⠁⠀⠀⠀⠀⠀⠀⠈⢣⠀⠀⠀ ⠀⠀⡼⠀⠀⠀⠀⠀⠀⠀⢸⣿⣧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀ ⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣿⣷⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⠀⠀ ⠀⢰⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⢿⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀ ⠀⢸⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣿⣦⡀⠀⠀⠀⠀⠀⠀⣾⠀⠀ ⠀⢸⡏⣧⠀⠀⠀⠀⠀⠀⣤⣤⣤⣤⣤⣤⣶⣶⣿⣿⠇⠀⠀⠀⠀⠀⢰⣿⠀⠀ ⠀⠸⡇⢻⡄⠀⠀⠀⠀⠈⠛⠛⠛⠛⠛⠛⠛⠋⠉⠁⠀⠀⠀⠀⠀⢠⡎⡿⠀⠀ ⠀⠀⢳⡀⠙⠲⢤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡴⠏⣼⠃⠀⠀ ⠀⠀⠀⠙⠲⢄⣀⠉⠙⠲⠦⠤⣤⣤⣤⡤⠤⠤⠤⠶⠒⠒⠛⠉⣠⡞⠁⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠉⠓⠢⢤⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⠞⠁⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠛⠒⠒⠚⠛⠛⠛⠋⠉⠀⠀⠀⠀⠀⠀⠀⠀