⡞⠢⠤⢄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠘⣅⠁⠀⢀⣤⣷⢒⣒⣲⣿⣛⣛⣿⢿⡶⡆⢄⡀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠑⠦⣾⣿⡿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⡿⠋⠈⠘⡆⢈⠎⠀⢸⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⣀⣴⣷⣦⣤⣏⣀⣀⢀⣉⣈⣉⣀⣈⣀⣀⢈⠀⠀⠀⠀
⠀⠀⠀⠀⠀⣠⡞⠛⣻⡿⢿⣿⡿⠿⠿⠸⣀⡀⠹⣿⣿⣿⣆⡿⠀⠀⠀⠀
⠀⠀⠀⠀⢰⣋⣽⠿⣿⠴⠋⠹⣿⣶⠆⡔⠀⠀⠀⢹⡯⣿⣿⣿⠀⠀⠀⠀
⢁⠜⠴⠶⠜⠛⠛⠉⢣⣤⣤⣄⣈⣙⠢⢄⣠⣤⣄⣠⣿⣿⣿⣧⣶⣶⣦⡀
⠀⠀⠀⠀⠀⠀⠀⢀⣼⡟⠻⣿⠟⠉⣆⠀⣿⣿⣿⢙⣿
⠀⠀⠀⠀⠀⠀⠀⣾⠏⠀⣀⣼⠇⠀⢹
⠀⠀⠀⠀⠘⣿⠉⠁⠀⠀⠀⢘⣷⠰⢧⣿⣿⣿⣿⠆⠸⣿⣿⣿⣿⣿⠃⠀
⠀⠀⠀⠀⠀⣿⣄⣀⣠⣤⣴⣿⣿⠀⠀⣿⢿⣿⣿⣧⡀⢿⣿⠟⠙⠀⠀⠀
⠀⠀⠀⠀⠀⠛⠛⢟⣿⣿⣿⣿⣥⣤⠶⡏⠀⠻⣿⣿⣷⣼⡟⠀⠀⠀