⠀⠀⠀⠀⠀⣤⣶⣶⡶⠦⠴⠶⠶⠶⠶⡶⠶⠦⠶⠶⠶⠶⠶⠶⠶⣄⠀⠀⠀⠀
⠀⠀⠀⠀⠀⣿⣀⣀⣀⣀⠀⢀⣤⠄⠀⠀⣶⢤⣄⠀⠀⠀⣤⣤⣄⣿⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠿⣿⣿⣿⣿⡷⠋⠁⠀⠀⠀⠙⠢⠙⠻⣿⡿⠿⠿⠫⠋⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⢀⣤⠞⠉⠀⠀⠀⠀⣴⣶⣄⠀⠀⠀⢀⣕⠦⣀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⢀⣤⠾⠋⠁⠀⠀⠀⠀⢀⣼⣿⠟⢿⣆⠀⢠⡟⠉⠉⠊⠳⢤⣀⠀⠀⠀
⠀⣠⡾⠛⠁⠀⠀⠀⠀⠀⢀⣀⣾⣿⠃⠀⡀⠹⣧⣘⠀⠀⠀⠀⠀⠀⠉⠳⢤⡀
⠀⣿⡀⠀⠀⢠⣶⣶⣿⣿⣿⣿⡿⠁⠀⣼⠃⠀⢹⣿⣿⣿⣶⣶⣤⠀⠀⠀⢰⣷
⠀⢿⣇⠀⠀⠈⠻⡟⠛⠋⠉⠉⠀⠀⡼⠃⠀⢠⣿⠋⠉⠉⠛⠛⠋⠀⢀⢀⣿⡏
⠀⠘⣿⡄⠀⠀⠀⠈⠢⡀⠀⠀⠀⡼⠁⠀⢠⣿⠇⠀⠀⡀⠀⠀⠀⠀⡜⣼⡿⠀
⠀⠀⢻⣷⠀⠀⠀⠀⠀⢸⡄⠀⢰⠃⠀⠀⣾⡟⠀⠀⠸⡇⠀⠀⠀⢰⢧⣿⠃⠀
⠀⠀⠘⣿⣇⠀⠀⠀⠀⣿⠇⠀⠇⠀⠀⣼⠟⠀⠀⠀⠀⣇⠀⠀⢀⡟⣾⡟⠀⠀
⠀⠀⠀⢹⣿⡄⠀⠀⠀⣿⠀⣀⣠⠴⠚⠛⠶⣤⣀⠀⠀⢻⠀⢀⡾⣹⣿⠃⠀⠀
⠀⠀⠀⠀⢿⣷⠀⠀⠀⠙⠊⠁⠀⢠⡆⠀⠀⠀⠉⠛⠓⠋⠀⠸⢣⣿⠏⠀⠀⠀
⠀⠀⠀⠀⠘⣿⣷⣦⣤⣤⣄⣀⣀⣿⣤⣤⣤⣤⣤⣄⣀⣀⣀⣀⣾⡟⠀⠀⠀⠀
⠀⠀⠀⠀⠀⢹⣿⣿⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁