⠀⢸⠂⠀⠀⠀⠘⣧⠀⠀⣟⠛⠲⢤⡀⠀⠀⣰⠏⠀⠀⠀⠀⠀⢹⡀
⠀⡿⠀⠀⠀⠀⠀⠈⢷⡀⢻⡀⠀⠀⠙⢦⣰⠏⠀⠀⠀⠀⠀⠀⢸⠀
⠀⡇⠀⠀⠀⠀⠀⠀⢀⣻⠞⠛⠀⠀⠀⠀⠻⠀⠀⠀⠀⠀⠀⠀⢸⠀
⠀⡇⠀⠀⠀⠀⠀⠀⠛⠓⠒⠓⠓⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀
⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⠀
⠀⢿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣀⣀⠀⠀⢀⡟⠀
⠀⠘⣇⠀⠘⣿⠋⢹⠛⣿⡇⠀⠀⠀⠀⣿⣿⡇⠀⢳⠉⠀⣠⡾⠁⠀
⣦⣤⣽⣆⢀⡇⠀⢸⡇⣾⡇⠀⠀⠀⠀⣿⣿⡷⠀⢸⡇⠐⠛⠛⣿⠀
⠹⣦⠀⠀⠸⡇⠀⠸⣿⡿⠁⢀⡀⠀⠀⠿⠿⠃⠀⢸⠇⠀⢀⡾⠁⠀
⠀⠈⡿⢠⢶⣡⡄⠀⠀⠀⠀⠉⠁⠀⠀⠀⠀⠀⣴⣧⠆⠀⢻⡄⠀
⠀⢸⠃⠀⠘⠉⠀⠀⠀⠠⣄⡴⠲⠶⠴⠃⠀⠀⠀⠉⡀⠀⠀⢻⡄⠀
⠀⠘⠒⠒⠻⢦⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣤⠞⠛⠒⠛⠋⠁⠀
⠀⠀⠀

⠀⠀⠀⠀⠀⣀⠄⠂⢀⡠⡀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠰⡤⠠⢠⣶⠼⡞⠑⠻⡵⢼⡄⠀⠀⠀⠀⠀
⠀⠀⠀⣠⣿⣫⡆⠈⠀⠀⠀⠀⠈⢫⠻⠀⠀⠀⠀⠀
⠀⠀⠀⢈⣿⣿⡷⠾⠴⡝⠴⡗⠚⢶⢿⠊⠈⠢⠀⠀
⠀⠀⠠⠿⣿⣏⡸⠀⡀⠀⠀⠃⠄⢘⣿⡄⠀⠀⠐⠀
⠀⠀⠀⢸⢫⣾⣕⡀⠀⠘⠇⠀⣠⠋⠘⢿⡖⠒⠀⠀
⠀⠀⠀⣨⡿⢫⣿⣿⡶⠖⠒⠻⢁⣀⠴⡇⠀⠀⠀⠀
⠀⠀⠀⠀⡀⣘⠕⠉⠌⠀⠀⠠⠃⠙⠀⠀⠀⠀⠀⠀
⠀⠀⠀⣐⡿⠣⢀⢬⣏⠀⢀⣠⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠐⢣⣔⣵⣾⣿⣿⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀
⠀⠀⢀⣐⠿⠋⠘⣿⣿⣿⣿⡿⠃⠀⠀⠀⠀⠀⠀⠀
⠀⢠⠲⠃⠀⢀⢰⡟⠀⠀⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠙⠩⢤⣯⡿⠃⠀⠀⣻⢷⣤⣀⡀⠀⠀⠀⠀⠀