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