⣿⣄⣀⠀⠀⠀⠰⣄⣀⡀⣀⣀⣀⣀⢀⣀⣠⠎⠀⢀⣀⣴⣿
⠀⠀⠀⠀⠀⠸⢛⠿⣿⣷⣦⣼⣷⣽⣽⣿⣿⣿⣿⣾⣧⣴⣾⣿⢟⡋⠏
⠀⠀⠀⠀⠀⠀⠩⡳⣬⡙⢻⣿⣿⣫⣿⣿⣿⣿⣯⣿⣿⡿⠋⣵⢞⠍⡀
⠀⠀⠀⠀⠈⠛⠢⢈⣮⣵⣧⣌⠿⠻⢿⣏⣿⣹⠿⠿⢁⣺⣷⣵⣁⠐⠉⠉⠁
⠀⠀⠀⣀⣠⣴⣾⣿⣿⣿⣿⣷⣽⣿⢾⣿⢻⣻⣮⣭⣿⣿⣿⣿⣿⣿⣷⠦⠤
⠀⠀⠉⠉⠉⠁⠀⠀⠀⣠⣤⣤⣤⠌⣯⡙⠛⣩⡎⢤⣶⣦⣤⣄⡀
⠀⠀⠀⠀⠀⠀⢠⣾⣿⣿⠿⠉⠀⠀⠀⣶⣶⢶⡶⠀⠀⠈⠙⠿⣿⣿⣧
⠀⠀⠀⠀⠀⣠⣿⠿⠛⠀⠀⢀⣠⡞⠃⡃⠀⠀⠸⠀⠘⣦⣀⠀⠀⠛⠿⣿⡄⠀⠀⠀⠀
⠀⠀⠀⠀⡰⠛⠁⠀⠀⠀⢠⣾⡟⠁⠀⣷⣶⣴⠇⠀⠀⠀⠉⢿⣧⠀⠀⠀⠉⠛⢦
⠀⠀⠀⠈⠀⠀⠀⠀⠀⢸⡏⠀⠀⠀⠀⠀⠉⠛⠛⠀⠀⠀⠀⠀⠀⠈⢻⡀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠣