⠀⠀⠀⠀⣠⣤⡀⢀⣎⣇⣀⣠⣝⣄⡤⠤⠲⢤⠀⠀⠀⠀⠀ ⠀⠀⠀⠐⡇⡖⢈⢻⣿⣿⣿⣿⣻⢩⠀⡄⠃⣼⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⡇⠀⠀⢿⣿⡿⣿⡟⣛⣿⡟⠀⠀⢹⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢧⠀⠀⢸⡿⠻⠏⢹⠗⢻⡇⠀⠀⡞⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠸⣧⠀⢾⢿⣴⣙⢏⣷⡿⡧⢀⣾⠃⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣿⢧⡏⢀⠉⢿⣻⠿⣀⢱⠾⣿⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢻⡮⢱⠁⠀⠀⠃⠀⠈⢛⡷⡏⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣿⣷⡄⠀⠀⡄⠀⠀⣾⣿⡅⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢻⣯⡗⡶⠛⡯⡵⡒⠛⢿⡇⠀⠀⠀⠀⠀⠀ ⠀⠐⠦⣄⡀⠀⠀⣿⣿⠅⢸⣷⢷⣿⣾⡿⠀⠀⠀⢀⣀⣀⠠ ⠀⠀⠀⠀⠙⢦⣠⠓⣭⠁⢯⢸⢸⢹⡟⢵⣠⠴⠊⠁⠀⠀⠀ ⠉⠒⢀⠀⡀⠀⠙⢦⡝⡰⢸⠘⠸⣼⣦⠞⠁⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠑⠨⡩⠖⢬⡷⡄⣾⢀⣷⢡⢷⠖⠁⣨⠒⢄⢀⠤⢒ ⡆⠀⠀⠀⡈⠀⠉⠺⠝⡏⠙⣸⠋⢻⠕⠀⠀⠀⢁⠀⠀⢀⠎ ⡇⠀⠀⠀⠃⠀⠀⠀⠀⢳⣤⠯⣤⡆⠀⠀⠀⠀⠸⢠⠀⣼⠀ ⠙⢷⣄⡐⠌⢢⡀⢀⠔⠋⠻⣿⠟⠓⢄⠀⣀⠔⠁⢁⣴⡇⠀ ⠀⠀⣌⡛⠦⠄⢨⣿⠀⠀⠀⣿⠀⠈⢀⣿⠁⠤⠜⠉⠁⡇⠀ ⠀⠀⠉⠉⠉⠉⠉⠻⣿⣾⣿⣿⡷⠶⣻⠏⠉⠉⠁⠀⢩⠇⠀

⠀⠇⢩⠀⠁⠉⠉⠏⣻⠶⡷⣿⣿⣾⣿⠻⠉⠉⠉⠉⠉⠀⠀ ⠀⡇⠁⠉⠜⠤⠁⣿⢀⠈⠀⣿⠀⠀⠀⣿⢨⠄⠦⡛⣌⠀⠀ ⠀⡇⣴⢁⠁⠔⣀⠀⢄⠓⠟⣿⠻⠋⠔⢀⡀⢢⠌⡐⣄⢷⠙ ⠀⣼⠀⢠⠸⠀⠀⠀⠀⡆⣤⠯⣤⢳⠀⠀⠀⠀⠃⠀⠀⠀⡇ ⠎⢀⠀⠀⢁⠀⠀⠀⠕⢻⠋⣸⠙⡏⠝⠺⠉⠀⡈⠀⠀⠀⡆ ⢒⠤⢀⢄⠒⣨⠁⠖⢷⢡⣷⢀⣾⡄⡷⢬⠖⡩⠨⠑⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠁⠞⣦⣼⠸⠘⢸⡰⡝⢦⠙⠀⡀⠀⢀⠒⠉ ⠀⠀⠀⠁⠊⠴⣠⢵⡟⢹⢸⢸⢯⠁⣭⠓⣠⢦⠙⠀⠀⠀⠀ ⠠⣀⣀⢀⠀⠀⠀⡿⣾⣿⢷⣷⢸⠅⣿⣿⠀⠀⡀⣄⠦⠐⠀ ⠀⠀⠀⠀⠀⠀⡇⢿⠛⡒⡵⡯⠛⡶⡗⣯⢻⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⡅⣿⣾⠀⠀⡄⠀⠀⡄⣷⣿⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⡏⡷⢛⠈⠀⠃⠀⠀⠁⢱⡮⢻⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣿⠾⢱⣀⠿⣻⢿⠉⢀⡏⢧⣿⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠃⣾⢀⡧⡿⣷⢏⣙⣴⢿⢾⠀⣧⠸⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⡞⠀⠀⡇⢻⠗⢹⠏⠻⡿⢸⠀⠀⢧⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢹⠀⠀⡟⣿⣛⡟⣿⡿⣿⢿⠀⠀⡇⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣼⠃⡄⠀⢩⣻⣿⣿⣿⣿⢻⢈⡖⡇⠐⠀⠀⠀ ⠀⠀⠀⠀⠀⢤⠲⠤⡤⣄⣝⣠⣀⣇⣎⢀⡀⣤⣠⠀⠀⠀⠀