⠀⠀⠀⠀⠀⠀⣠⠖⠛⣻⡆⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠣⣧⠀⠀⡴⠛⢙⣶⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⠀⠀⠀⢸⡄⣸⠃⠀⢸⡇⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣇⡀⠀⠀⣧⡏⠀⠀⢸⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠘⡧⠀⠀⢼⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣷⠀⠀⠀⠀⢹⡄⠀⢸⠖⠲⣦
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡀⠀⠀⠀⠠⢷⠀⢸⠀⠰⡏
⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣀⣀⣀⡀⠀⠀⢠⡷⠀⠀⠀⠀⠼⡆⢸⡀⢸⠁
⠀⠀⠀⠀⠀⣀⣤⡴⠚⠉⠉⠀⠉⠉⠉⠉⠉⠛⢻⣇⠀⠀⠀⠀⠀⡇⢀⠃⡎⠀
⠀⢀⡾⢻⠛⢷⠊⠁⠀⠀⡄⠀⠀⠀⠀⠀⠀⠀⠁⠈⢷⡀⠀⠀⠀⢻⡸⢸⠁⠀
⠀⢸⡀⠴⠀⠀⢳⡤⠴⠶⠛⠶⠦⢤⣤⡖⠁⠀⠀⠀⠀⠻⣄⠀⠀⠸⡇⡞⠀⠀
⢀⣞⡀⠄⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⢳⡀⠀⠀⠀⠀⠀⠘⢧⡀⠀⢿⠁⠀⠀
⡼⠁⠀⠀⠀⠈⠻⡇⠀⠀⠀⠀⠀⠀⠀⠀⠙⣦⣄⣀⠀⠀⠀⠀⠻⣄⠈⣧⠀⠀
⢿⡀⠀⠀⠀⠀⠀⠹⣆⠀⠀⠀⠀⠀⠀⠀⣰⠻⡀⠀⠀⠀⠀⠀⠀⠈⢧⡸⡆⠀
⠘⣧⠀⠀⠀⠀⠀⠀⠘⢧⣀⣀⣤⡤⠤⠼⠧⢤⣀⡀⠀⠀⠀⠀⠀⠀⠀⡇⡇⠀
⠀⠘⣧⠀⠀⠀⠀⠀⠀⠀⠉⠙⠒⠦⠤⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢧⡇⠀
⠀⠀⠘⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡿⠀⠀
⠀⠀⠀⢹⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡾⠁⠀⠀
⠀⠀⠀⠀⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠁⠀⠀⠀
⠀⠀⠀⠀⢹⡙⢦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⠃⠀⠀⠀⠀
⠀⠀⠀⠀⠈⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡟⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠘⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠁⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠘⢷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡟⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⢹⡦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠈⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡇⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠂⠄⠴⠦⢤⠄⠦⠤⠤⠀⠀⠠⠀⠠⠤⠄⢶⠒⡤⠴⠶⠆


yea.

⠀⠀⠀⠀⠀⠀⣠⠖⠛⣻⡆⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠣⣧⠀⠀⡴⠛⢙⣶⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⠀⠀⠀⢸⡄⣸⠃⠀⢸⡇⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣇⡀⠀⠀⣧⡏⠀⠀⢸⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠘⡧⠀⠀⢼⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣷⠀⠀⠀⠀⢹⡄⠀⢸⠖⠲⣦ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡀⠀⠀⠀⠠⢷⠀⢸⠀⠰⡏ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣀⣀⣀⡀⠀⠀⢠⡷⠀⠀⠀⠀⠼⡆⢸⡀⢸⠁ ⠀⠀⠀⠀⠀⣀⣤⡴⠚⠉⠉⠀⠉⠉⠉⠉⠉⠛⢻⣇⠀⠀⠀⠀⠀⡇⢀⠃⡎⠀ ⠀⢀⡾⢻⠛⢷⠊⠁⠀⠀⡄⠀⠀⠀⠀⠀⠀⠀⠁⠈⢷⡀⠀⠀⠀⢻⡸⢸⠁⠀ ⠀⢸⡀⠴⠀⠀⢳⡤⠴⠶⠛⠶⠦⢤⣤⡖⠁⠀⠀⠀⠀⠻⣄⠀⠀⠸⡇⡞⠀⠀ ⢀⣞⡀⠄⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⢳⡀⠀⠀⠀⠀⠀⠘⢧⡀⠀⢿⠁⠀⠀ ⡼⠁⠀⠀⠀⠈⠻⡇⠀⠀⠀⠀⠀⠀⠀⠀⠙⣦⣄⣀⠀⠀⠀⠀⠻⣄⠈⣧⠀⠀ ⢿⡀⠀⠀⠀⠀⠀⠹⣆⠀⠀⠀⠀⠀⠀⠀⣰⠻⡀⠀⠀⠀⠀⠀⠀⠈⢧⡸⡆⠀ ⠘⣧⠀⠀⠀⠀⠀⠀⠘⢧⣀⣀⣤⡤⠤⠼⠧⢤⣀⡀⠀⠀⠀⠀⠀⠀⠀⡇⡇⠀ ⠀⠘⣧⠀⠀⠀⠀⠀⠀⠀⠉⠙⠒⠦⠤⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢧⡇⠀ ⠀⠀⠘⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡿⠀⠀ ⠀⠀⠀⢹⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡾⠁⠀⠀ ⠀⠀⠀⠀⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠁⠀⠀⠀ ⠀⠀⠀⠀⢹⡙⢦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⠃⠀⠀⠀⠀ ⠀⠀⠀⠀⠈⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡟⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠘⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠁⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠘⢷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡟⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢹⡦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠈⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡇⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠂⠄⠴⠦⢤⠄⠦⠤⠤⠀⠀⠠⠀⠠⠤⠄⢶⠒⡤⠴⠶⠆ yea.