⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⠤⠒⠒⠒⠒⠀⠤⢄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢀⡴⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠱⢤⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⡴⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣽⣄⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⡞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣷⣿⣿⣿⠘⢣⡀⠀⠀⠀⠀ ⠀⠀⠀⠀⡸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠿⠋⠁⠀⠉⠀⠈⡇⠀⠀⠀⠀ ⠀⠀⠀⢠⡇⠀⠀⡀⠀⢠⣧⠀⢰⡄⠀⠀⠀⢀⡀⠀⠀⠀⠀⠀⠀⠀⠑⠀⠀⠀⠀ ⠀⠀⠀⢸⢠⠀⢰⣇⣀⡎⠘⣀⣘⡿⣆⠀⠀⠸⡱⡀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀ ⠀⠀⠀⡄⢸⠀⡟⠉⠁⠀⠀⠀⠀⠀⠈⠳⠶⠦⣷⢳⡆⡇⢰⠀⠀⠀⡇⠀⠀⠀⠀ ⠀⠀⠀⠃⢸⢀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠳⠇⢸⣻⡏⢣⡇⠀⠀⠀⠀ ⠀⠀⠀⢠⢸⢸⠞⠒⠦⠀⠀⠀⠀⠀⠀⢠⠶⠦⢤⣀⠀⢀⠰⢿⢠⡏⢰⠀⠀⠀⠀ ⠀⠀⠀⢸⠸⣼⣄⠀⠀⠀⠠⣄⣀⣀⠀⠀⠀⠀⠀⠀⠀⠘⡦⠼⠋⠀⠸⡄⠀⠀⠀ ⠀⠀⠀⢸⡀⠻⠏⠓⢤⣀⡀⣿⠀⢸⡇⠀⠀⠀⠀⣠⢴⣧⡇⠀⠀⠀⠀⠹⡀⠀⠀ ⠀⣀⣀⣸⣇⣀⣀⣀⣀⣀⣈⣹⡟⠒⠒⠒⣞⣋⠉⠀⠘⠉⠀⠀⠀⠀⠀⡀⢻⡀⠀ ⠈⣇⠀⡝⠃⣼⣿⢸⣿⠀⠀⠀⠳⣤⣠⠜⠁⠀⠉⠉⣿⡏⣿⣿⠉⡋⢉⡽⠀⢷⠀ ⠀⠀⠈⣇⣀⣿⣿⢸⡇⠀⠀⠀⠀⠀⠀⢰⣶⣶⠀⠀⣿⣇⡿⠧⠚⠉⠀⠀⠀⠈⡇ ⠀⠀⢠⡇⣠⠉⠉⢋⢳⡀⠀⠀⠀⠀⠀⠀⠙⠋⠀⢀⠋⠁⠀⠀⢀⡀⠀⢀⡄⠀⡇ ⠀⠀⢸⡆⣿⠀⠀⢸⣼⠻⠿⠿⠿⠿⠿⠿⠿⠿⠿⢻⠀⣴⠀⠀⣾⠃⠀⡼⠧⠼⠀ ⠀⠀⠀⠙⠋⠳⠤⠬⢿⣶⣶⣦⣤⣤⣶⣶⣶⣶⣶⣾⡞⠧⠴⠞⠚⠒⠊⠁⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢘⠉⠉⠙⠛⠛⠋⠉⠉⠉⠀⢀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⣶⠒⠶⢤⢤⠤⠤⠴⣞⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠃⠀⠀⠸⢾⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡰⠚⣧⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⢠⠇⠀⢸⡄⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⡸⠀⠀⠘⡇⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣶⣶⡇⠀⠀⠀⣷⣶⠎⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠀⠀⠀⠀⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀