⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡴⣪⣭⣿⣷⣶⣄⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⠤⢤⢔⡾⣹⣿⣿⣿⣿⣿⣿⣷⡄⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⢰⢳⣿⣿⣿⠋⣻⣿⣿⣿⣿⣿⣿⣾⣿⠟⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⠔⠁⠀⠀⠀⢸⣼⣷⣻⣧⣴⣿⣏⣿⣿⣿⣿⣿⣿⣿⣶⣶⣦⠤ ⠀⠀⠀⠀⢠⠇⠀⠀⠀⠀⠀⠈⢿⣿⣷⣿⣏⡿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠛⠁⠀ ⠀⠀⠀⢀⠇⠀⠀⠀⠀⠀⠀⠀⠀⠹⢿⣿⣿⣿⣝⣿⣯⣾⠋⣇⠀⠀⠀⠀⠀⠀ ⠀⠀⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡄⠀⠀⠙⣽⣝⠋⢡⣯⣀⠘⢦⡀⠀⠀⠀⠀ ⠀⠀⡷⡁⠀⡄⠀⢠⠻⠀⠀⠀⢸⠙⠀⠀⠀⠙⡇⢹⣧⠛⠂⠀⢤⣉⠢⡀⠀⠀ ⡠⢊⠚⢇⣰⢣⠀⡞⠒⠣⠀⠀⠘⡄⠘⠓⠲⢆⣳⠀⠀⣠⣄⣀⣀⠙⢯⣾⡄⠀ ⣇⣇⡌⠈⡜⡌⢳⣧⣤⣄⡑⠄⣀⣳⢀⣠⣤⣴⣾⡆⠀⣿⠖⣠⣮⠀⠀⣿⠇⠀ ⠈⠛⢇⠀⠿⠷⡘⣿⢙⠿⡏⠀⠈⠉⢻⣻⣿⡏⢹⡟⣢⣿⣟⡻⠋⢀⡴⠁⠀⠀ ⠀⠀⠈⠢⢤⣀⣋⡿⢮⡉⠁⠀⠀⠀⠈⢉⣙⠷⠛⠺⣿⣙⣛⠭⠝⠋⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⡩⠒⠶⠲⠞⠓⢦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣵⣕⣉⣫⣿⣦⠀⠱⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⡾⡿⡟⣻⣿⡏⠱⣮⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣰⢿⡛⣿⣾⣜⣾⣿⣿⣿⣿⣿⣿⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⣴⣿⣾⣿⣿⣿⣿⣿⣿⣾⡏⣿⣿⣿⣿⣿⣿⣆⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⣵⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣯⣿⣿⠟⠃⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠈⢻⣿⣿⣶⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⠟⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠈⠻⠿⠿⣿⣿⣿⣿⣿⣿⡿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣽⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀