⠀⠀⠀⠀⠀⣀⡤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠁⣀⢄⡶⣿⣷⣷⠯⠽⣷⣞⡹⣂⣤⠤⢤⣤⠀⠀⠀⠀⠀⠀ ⠀⠀⠤⡤⠔⣻⣷⢽⣟⣿⡿⠛⠂⢻⡖⠿⣿⡹⠛⠋⠁⠀⠆⠀⠀⠀⠀⠀ ⠀⠀⠰⠄⠀⠀⠀⠑⢒⡡⠉⣭⣿⠇⠁⠀⠈⢣⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢠⡤⠒⠉⠀⠐⠀⢲⠀⡀⡌⢢⣀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢠⡾⠀⠀⠀⠀⠀⠀⠘⢠⠔⠀⠀⠙⢷⡀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢠⡟⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠆⠈⣷⡀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣰⢻⠃⠰⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⡀⣹⢱⠀⠀⠀⠀⠀ ⠀⠀⡠⠔⠁⢸⠀⡇⠀⡇⠀⡀⠀⠀⡀⠀⠀⣼⠀⠀⣧⢻⡦⠗⠀⠀⠀⠀ ⠀⠀⠸⠱⠂⣼⣰⠡⠸⢃⠀⠱⠂⠀⡇⠀⢀⢻⠀⣜⣎⠎⡇⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢹⠑⠸⢣⢠⢷⣤⡧⣠⢃⡠⢺⢿⡟⢹⢣⢵⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢠⡳⠄⡜⢣⡉⠉⠁⠈⠁⠀⠀⠀⢀⠎⡆⢸⡄⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⡰⡻⠁⡰⠡⢂⠝⠂⣄⡀⡒⢊⣠⡖⠑⢄⢰⡀⢿⠀⠀⠀⠀⠀ ⠀⠀⢀⣼⠍⠀⠔⡱⠁⡎⠘⠅⣼⠘⢖⡗⠁⣧⠀⠀⠃⢣⠈⣷⠀⠀⠀⠀ ⠀⢠⣞⠏⢀⠎⢠⠁⢰⠁⠀⠀⠋⠀⠀⠇⠈⢯⠀⠀⠸⡀⢆⠘⣧⠀⠀⠀ ⢠⡟⠏⣠⠆⢄⠃⠀⡈⠀⠀⠀⠷⠶⢦⣴⠶⢞⠀⠀⠀⢡⠈⡄⢹⣇⠀⠀ ⣾⢰⠀⡎⠀⣸⣇⢰⠁⠀⠀⢰⣷⣾⣦⣜⣶⣿⠂⠀⠀⠀⡄⢸⠀⡟⡆⠀ ⡇⠘⢰⠀⠀⣇⣮⠇⠀⠀⠀⠀⣿⣿⣿⣿⣿⢿⠀⠀⠀⠀⠸⠀⢠⠁⠁⡀ ⢧⢸⠺⢀⢠⣏⣹⡆⠀⠀⠀⣠⣿⣿⣿⣿⣿⣿⣦⡀⠀⠀⡜⠠⠛⠀⡇⠁ ⠈⢾⡁⠨⠣⡟⢿⣿⣶⣤⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣲⣷⠀⢀⡼⡅⠀ ⠀⠀⠈⠲⠀⠀⠀⢿⣿⣿⢿⡿⢿⣿⣿⣿⡿⠿⢽⣿⣿⡿⢨⡠⠋⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠈⠑⡎⠀⠀⢀⠟⠀⠘⡄⠀⠘⢱⠊⠀⠈⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢰⠃⠀⠀⡜⠀⠀⢀⢱⠁⠀⠸⡄⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢸⡀⠀⠀⠃⠀⠀⠀⢸⠀⠀⠸⠁⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢸⣧⣄⣴⠀⠀⠀⠀⣾⣤⣴⠿⡆⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢸⣾⣿⣿⠀⠀⠀⠀⢿⣿⣷⣿⣷⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠘⠋⠙⠊⠀⠀⠀⠀⠀⠈⠑⠊⠁⠀⠀⠀⠀⠀⠀⠀