⠀ ⠀⠀⢀⣟ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⣶⡷⠆⠀⠀⠀⠀⠀⣀⠄⡀⠀
⠀⠀⡤⡖⣾⡷⡦⣶⠖⣦⡦⡤⠤⠄⣀⣶⡒⠆⠀⠀⠀⠀⣀⡤⢄⠀⠀⣠⣴⡶⠞⠿⣧⠀⠀⠀⠀⢠⢟⠫⠁⢀⣄⢴⠞⡋⠋⠉⠁⠀
⠀⠀⠀⢀⣹⡇⠀⠑⠚⠚⠚⠊⠛⣼⣏⠋⠀⠀⠀⠀⠀⢠⣿⣃⢀⢧⣽⡟⡃⠄⠂⠁⠀⠀⠀⠀⠀⣼⣿⣦⣮⠗⠃⠂⠀⠀⠀⠀⠀⠀
⠀⠀⠀⢠⣵⡅⡀⡀⡀⣀⠀⠀⠀⢯⡇⠀⠀⠀⠀⠀⢐⣣⡿⠜⠤⣟⡿⠂⠀⠀⠀⠀⠀⠀⠀⠠⠖⡛⡛⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⡟⢿⡗⠿⠿⠛⠉⠀⠀⢠⣿⡆⠀⠀⠀⠀⣠⣿⡻⠏⠁⢝⣻⣫⠀⠀⠀⠀⠀⠀⠀⠀⢀⠣⡟⠃⠑⠷⡡⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠊⢿⠁⠀⠀⠀⠀⠀⠀⠘⣺⣧⡀⡀⡔⣞⣵⠊⠁⠀⠀⠨⣗⣮⣣⣂⣤⣠⣄⣤⢄⡄⡎⢔⡗⠀⠀⠀⠳⣷⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⡟⠀⠀⠀⠀⠀⠀⠀⠀⠓⠋⠛⠛⠋⠃⠀⠀⠀⠀⠀⠀⠁⠉⠉⠙⠛⠛⠛⠛⠋⠁⠀⠛⠀⠀⠀⠀⠀⠀⠀⠘⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⢠⡦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠸⡿⠣⠀⠀⠀⡀⣄⠾⠂⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣫⠧⠀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠒⢫⣧⡁⡖⡡⣶⡝⠂⢀⡠⣦⣶⣸⣴⣡⣦⣠⡀⠀⢠⣟⠔⠉⠁⠀⠀⠀⣾⣣⣟⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠂⣛⡻⡋⡓⠆⠁⢠⡆⡷⠃⠃⠁⠐⠐⢡⢸⠆⠀⣚⡧⠊⠁⠀⠀⠀⠀⠱⣟⢟⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠨⣢⡿⠋⠁⠀⠀⣝⠏⠀⠀⠀⠀⠀⠀⠀⢸⢫⡇⠀⢓⣿⡄⠀⠀⠀⠀⠀⣨⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⣀⣾⠋⠀⠀⠀⠀⠀⣷⣇⡀⠀⠀⠀⢀⣠⡥⣳⠂⠀⢨⣿⡧⣤⡀⣄⣄⣴⡟⣻⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠘⠀⠀⠀⠀⠀⠀⠀⠱⠙⡴⣩⡀⣥⣃⡃⡖⠁⠀⠀⠘⡔⡱⣴⣭⢝⡓⡓⢁⣺⣾⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠁⠉⠁⠉⠀⠀⠀⠀⠀⠀⠀⠀⠈⠈⠈⠈⠈⠀⠀ ⠋⠉⠀⠀⠀⠀⠀