⠀⠀⠀⣀⣀⣤⣤⣤⣤⠤⠤⠤⠤⣤⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣀⡴⠞⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠓⢦⣀⠀⠀⠀⠀⠀ ⠀⠀⠀⣠⠞⠁⠀⠀⠀⠀⠀⠀⣄⠀⢸⠀⠀⠀⢀⣄⠀⠀⠀⠀⠈⠳⡄⠀⠀⠀ ⠀⢠⠞⠁⠀⠀⠀⠀⠀⠀⠀⠚⠉⡇⢸⡀⠀⠀⢻⡘⣆⠀⠀⠀⠀⠀⠘⣆⠀⠀ ⢠⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⡞⠁⠀⠈⡇⠀⠀⠈⢹⠀⠀⠀⠀⠀⠀⠀⠸⡀⠀ ⣿⠀⠀⠀⠀⠀⠀⠀⣀⡴⠎⠀⠀⠀⠀⢿⠀⠀⠀⠈⢧⡀⠀⠀⠀⠀⠀⠀⣧⠀ ⡇⠀⠀⠀⠀⠴⠖⠛⠁⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠱⢄⣀⠀⠀⠀⠀⠸⡄ ⢣⠀⠀⠀⢀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣸⣀⣀⣀⡀⠀⠀⠀⠉⠑⠀⠀⠀⠀⢷ ⢸⠀⠀⠀⠈⠁⠀⠀⠀⠈⠉⠉⠉⠉⠉⣿⠉⠉⠉⠉⠙⣿⣿⠛⠛⠋⠀⠀⠀⢸ ⠈⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⢰⣿⣿⣧⠀⠀⠀⠀⠀⢸ ⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡤⠒⣿⠉⠙⢧⠀⣿⣿⣿⣿⠀⠀⠀⠀⠀⡟ ⠀⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠎⠀⠀⢿⠀⠀⠘⢷⣿⣿⣿⡿⠀⠀⠀⠀⣸⠁ ⠀⠘⣆⠀⠀⠀⠀⠀⠀⠀⡰⠁⠀⠀⠀⠀⠀⠀⠀⢸⡉⠉⠉⠀⠀⠀⠀⣰⠁⠀ ⠀⠀⠈⢷⡀⠀⠀⠀⠀⢠⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⢃⠀⠀⠀⠀⢀⡼⠁⠀⠀ ⠀⠀⠀⠀⠘⢦⡀⠀⠀⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢆⢀⡠⠶⠋⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠉⢧⣀⣳⣆⣀⢀⣀⣀⣀⣠⣤⣤⣶⣶⣉⡾⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠈⠉⠀⠀⣿⠛⠋⠉⠉⠀⠀⠀⢻⡄⠁⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⡇⠀⠀⠀⠀⠀⠀⠀⠸⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⢻⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⡴⠒⣦⠀⣾⠁⠀⠀⠀⠀⠀⠀⠀⠀⢸⣶⠟⢧⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢸⡁⢆⢻⣴⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⢀⠈⡆⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣇⠘⣯⣿⣁⣉⣠⣄⣀⣀⣀⣠⣤⣴⡾⠯⢾⢀⡇⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠘⠒⢋⣾⣿⣿⣿⣿⡟⢻⣿⣿⣿⣿⣿⣦⠘⠋⠁⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⡿⠁⠀⠻⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠹⠿⠛⠋⠁⠀⠀⠀⠀⠈⠿⠿⠟⠋⠀
⠀⠀⠀⣀⣀⣤⣤⣤⣤⠤⠤⠤⠤⣤⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣀⡴⠞⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠓⢦⣀⠀⠀⠀⠀⠀ ⠀⠀⠀⣠⠞⠁⠀⠀⠀⠀⠀⠀⣄⠀⢸⠀⠀⠀⢀⣄⠀⠀⠀⠀⠈⠳⡄⠀⠀⠀ ⠀⢠⠞⠁⠀⠀⠀⠀⠀⠀⠀⠚⠉⡇⢸⡀⠀⠀⢻⡘⣆⠀⠀⠀⠀⠀⠘⣆⠀⠀ ⢠⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⡞⠁⠀⠈⡇⠀⠀⠈⢹⠀⠀⠀⠀⠀⠀⠀⠸⡀⠀ ⣿⠀⠀⠀⠀⠀⠀⠀⣀⡴⠎⠀⠀⠀⠀⢿⠀⠀⠀⠈⢧⡀⠀⠀⠀⠀⠀⠀⣧⠀ ⡇⠀⠀⠀⠀⠴⠖⠛⠁⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠱⢄⣀⠀⠀⠀⠀⠸⡄ ⢣⠀⠀⠀⢀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣸⣀⣀⣀⡀⠀⠀⠀⠉⠑⠀⠀⠀⠀⢷ ⢸⠀⠀⠀⠈⠁⠀⠀⠀⠈⠉⠉⠉⠉⠉⣿⠉⠉⠉⠉⠙⣿⣿⠛⠛⠋⠀⠀⠀⢸ ⠈⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⢰⣿⣿⣧⠀⠀⠀⠀⠀⢸ ⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡤⠒⣿⠉⠙⢧⠀⣿⣿⣿⣿⠀⠀⠀⠀⠀⡟ ⠀⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠎⠀⠀⢿⠀⠀⠘⢷⣿⣿⣿⡿⠀⠀⠀⠀⣸⠁ ⠀⠘⣆⠀⠀⠀⠀⠀⠀⠀⡰⠁⠀⠀⠀⠀⠀⠀⠀⢸⡉⠉⠉⠀⠀⠀⠀⣰⠁⠀ ⠀⠀⠈⢷⡀⠀⠀⠀⠀⢠⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⢃⠀⠀⠀⠀⢀⡼⠁⠀⠀ ⠀⠀⠀⠀⠘⢦⡀⠀⠀⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢆⢀⡠⠶⠋⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠉⢧⣀⣳⣆⣀⢀⣀⣀⣀⣠⣤⣤⣶⣶⣉⡾⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠈⠉⠀⠀⣿⠛⠋⠉⠉⠀⠀⠀⢻⡄⠁⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⡇⠀⠀⠀⠀⠀⠀⠀⠸⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⢻⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⡴⠒⣦⠀⣾⠁⠀⠀⠀⠀⠀⠀⠀⠀⢸⣶⠟⢧⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢸⡁⢆⢻⣴⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⢀⠈⡆⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣇⠘⣯⣿⣁⣉⣠⣄⣀⣀⣀⣠⣤⣴⡾⠯⢾⢀⡇⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠘⠒⢋⣾⣿⣿⣿⣿⡟⢻⣿⣿⣿⣿⣿⣦⠘⠋⠁⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⡿⠁⠀⠻⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠹⠿⠛⠋⠁⠀⠀⠀⠀⠈⠿⠿⠟⠋⠀
