⣿⠛⠛⠛⠛⠻⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠛⢛⣿⠋⢀⡾⠃⠀⠀⠀⠀⢀⣤⣤⠤⠤⣤⣤⣀⣀⣀⣠⠶⡶⣤⣀⣠⠶⡶⣤⣀⣤⣤⡤⠤⠦⢤⣤⣄⡀⠀⢠⡶⢶⡄⠀⠀
⢠⡟⠁⣴⣿⢤⡄⣴⢶⠶⡆⠈⢷⡀⠀⠀⠀⠀⢀⣭⣫⠵⠥⠽⣄⣝⠵⢍⣘⣄⠳⣤⣀⠀⠀⢀⡤⠊⣽⠁⠀⠸⣇⠀⢿⠀⠀
⠸⢷⣴⣤⡤⠾⠇⣽⠋⠼⣷⠀⠈⢷⡄⢀⣤⡶⠋⠀⣀⡄⠤⠀⡲⡆⠀⠀⠈⠙⡄⠘⢮⢳⡴⠯⣀⢠⡏⠀⠀⠀⢻⠀⢸⠇⠀
⠀⠀⠀⠀⠀⠀⠀⠙⠛⠋⠉⢀⣴⠟⠉⢯⡞⡠⢲⠉⣼⠀⠀⡰⠁⡇⢀⢷⠀⣄⢵⠀⠈⡟⢄⠀⠀⠙⢷⣤⣤⣤⡿⢢⡿⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠟⠑⠊⠁⡼⣌⢠⢿⢸⢸⡀⢰⠁⡸⡇⡸⣸⢰⢈⠘⡄⠀⢸⠀⢣⡀⠀⠈⢮⢢⣏⣤⡾⠃⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣯⣴⠞⡠⣼⠁⡘⣾⠏⣿⢇⣳⣸⣞⣀⢱⣧⣋⣞⡜⢳⡇⠀⢸⠀⢆⢧⠀⠰⣄⢏⢧⣾⠁⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢹⡏⢰⠁⡻⠀⡟⡏⠉⠀⣀⠀⠀⠀⠀⣀⠁⠀⠉⠛⢽⠇⠀⣼⡆⠈⡆⠃⠀⡏⠻⣾⣽⣇⡀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠁⡇⠀⡇⡄⣿⠷⠿⠿⠛⠀⠀⠀⠀⠛⠻⠿⠿⠿⡜⢀⡴⡟⢸⣸⡼⠀⠀⡇⠀⡞⡆⢻⠙⢦⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡶⢀⣼⣿⣬⣽⠧⠬⠇⠀⠀⠀⠀⠀⠀⢞⣯⣭⢺⣔⣪⣾⣤⠺⡇⢳⠀⢠⣧⡾⠛⠛⠶⠶⠞⠁
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠷⢿⠟⠉⡀⠈⢦⡀⠀⠀⣠⠖⠒⠒⢤⡀⠀⢀⡼⠿⢇⡣⢬⣶⠷⢿⣤⡾⠁⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠷⠾⠷⠖⠛⠛⠲⠶⠿⠤⣤⠤⠤⢷⣶⠋⠀⠀⠀⣱⠞⠁⠀⠈⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠓⠒⠚⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀