⠀⠀⠀⠀⠀⠀⠀⠀⣀⠤⣒⠒⠤⣴⣶⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⡠⢎⡀⣶⣾⣲⣧⣬⣙⣻⣖⢷⡄⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢠⠃⣤⣾⣯⡥⢴⣦⠴⡛⡻⢿⡿⢯⣿⡄⠀⠀⠀⠀⠀ ⠀⠀⠀⢰⣯⣾⣿⣿⣿⣯⣭⠁⠀⠀⠈⠂⠅⢤⣿⣿⠀⠀⠀⠀⠀ ⠀⠀⠀⣷⡟⠀⠉⠛⠉⠁⠀⠀⠀⠀⠀⠀⠱⣬⢿⣿⡆⠀⠀⠀⠀ ⠀⠀⠀⢻⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠌⠟⡠⢧⠀⠀⠀ ⠀⠀⠀⠈⢿⠀⠀⠀⠀⠀⠀⠀⢀⣠⣀⡀⠀⠀⠀⠸⠿⢸⠀⠀⠀ ⠀⠀⠀⠀⠈⢁⠀⠀⠀⠀⠀⡴⢛⣩⣤⡄⠀⠀⠀⠄⠀⠸⠀⠀⠀ ⠀⠀⠀⠀⠀⠘⢟⣻⢿⣧⠀⠀⠟⠒⠊⠀⠀⠀⠀⠄⠀⠄⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠘⠉⠈⢹⠀⠀⢀⡀⠀⠈⠁⠀⡈⠀⠀⠀⣀⠀⠀ ⠀⠀⠀⠀ ⠀⠀⠐⡀⠀⢇⠀⢀⡠⠟⠢⠀⠀⠀⠀⠀⠀⢠⣿⣦…
⠀⠀⠀⠀⠀⠀⠀⠀⣀⠤⣒⠒⠤⣴⣶⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⡠⢎⡀⣶⣾⣲⣧⣬⣙⣻⣖⢷⡄⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢠⠃⣤⣾⣯⡥⢴⣦⠴⡛⡻⢿⡿⢯⣿⡄⠀⠀⠀⠀⠀ ⠀⠀⠀⢰⣯⣾⣿⣿⣿⣯⣭⠁⠀⠀⠈⠂⠅⢤⣿⣿⠀⠀⠀⠀⠀ ⠀⠀⠀⣷⡟⠀⠉⠛⠉⠁⠀⠀⠀⠀⠀⠀⠱⣬⢿⣿⡆⠀⠀⠀⠀ ⠀⠀⠀⢻⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠌⠟⡠⢧⠀⠀⠀ ⠀⠀⠀⠈⢿⠀⠀⠀⠀⠀⠀⠀⢀⣠⣀⡀⠀⠀⠀⠸⠿⢸⠀⠀⠀ ⠀⠀⠀⠀⠈⢁⠀⠀⠀⠀⠀⡴⢛⣩⣤⡄⠀⠀⠀⠄⠀⠸⠀⠀⠀ ⠀⠀⠀⠀⠀⠘⢟⣻⢿⣧⠀⠀⠟⠒⠊⠀⠀⠀⠀⠄⠀⠄⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠘⠉⠈⢹⠀⠀⢀⡀⠀⠈⠁⠀⡈⠀⠀⠀⣀⠀⠀ ⠀⠀⠀⠀ ⠀⠀⠐⡀⠀⢇⠀⢀⡠⠟⠢⠀⠀⠀⠀⠀⠀⢠⣿⣦…
⠀⠀⠀⠀⠀⠀⠀⠀⣀⠤⣒⠒⠤⣴⣶⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⡠⢎⡀⣶⣾⣲⣧⣬⣙⣻⣖⢷⡄⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢠⠃⣤⣾⣯⡥⢴⣦⠴⡛⡻⢿⡿⢯⣿⡄⠀⠀⠀⠀⠀ ⠀⠀⠀⢰⣯⣾⣿⣿⣿⣯⣭⠁⠀⠀⠈⠂⠅⢤⣿⣿⠀⠀⠀⠀⠀ ⠀⠀⠀⣷⡟⠀⠉⠛⠉⠁⠀⠀⠀⠀⠀⠀⠱⣬⢿⣿⡆⠀⠀⠀⠀ ⠀⠀⠀⢻⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠌⠟⡠⢧⠀⠀⠀ ⠀⠀⠀⠈⢿⠀⠀⠀⠀⠀⠀⠀⢀⣠⣀⡀⠀⠀⠀⠸⠿⢸⠀⠀⠀ ⠀⠀⠀⠀⠈⢁⠀⠀⠀⠀⠀⡴⢛⣩⣤⡄⠀⠀⠀⠄⠀⠸⠀⠀⠀ ⠀⠀⠀⠀⠀⠘⢟⣻⢿⣧⠀⠀⠟⠒⠊⠀⠀⠀⠀⠄⠀⠄⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠘⠉⠈⢹⠀⠀⢀⡀⠀⠈⠁⠀⡈⠀⠀⠀⣀⠀⠀ ⠀⠀⠀⠀ ⠀⠀⠐⡀⠀⢇⠀⢀⡠⠟⠢⠀⠀⠀⠀⠀⠀⢠⣿⣦…