⠀⠀⠀⠀⡏⠀⢀⣾⣏⠀⠀⠀⠀⠀⠈⣹⣷⣶⣯⠁⠀⠀⠀⠀⠀⣶⣶⣕⠈⠹⣎⢳⡾⠇⠀⠀⠀
⠀⠀⠀⠀⠃⠘⢸⣿⣟⢀⣴⣶⣾⣿⣾⣿⣿⣿⣿⣿⣿⣿⣶⣦⡲⣿⣿⣿⡇⠀⢻⣦⣀⠇⠀⠀⠀
⠀⠀⠀⠀⠀⠀⣼⣿⣼⣷⡹⠟⠛⠻⣿⣿⣿⣿⣿⣿⠟⠉⠻⣿⣷⡽⣿⣿⣿⠀⠀⠉⠛⠃⠀⠀⠀
⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⡇⡴⠶⣦⠘⣿⣿⣷⡿⠇⣶⠟⣶⡈⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⢀⢿⣿⣿⣿⣿⡆⠳⣤⡿⠀⣯⠿⢿⡷⠀⠙⠦⠾⠁⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⢨⣼⣿⣿⣿⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣾⣿⣿⣇⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⡿⣵⣿⡿⠟⢛⣩⣀⡀⠓⠀⠀⠀⢠⣤⠀⠴⠄⢀⣬⣛⠿⣿⣿⣿⣿⠧⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⣿⣿⡿⣡⣶⣿⣿⣿⣿⣷⣤⣀⠀⢀⣀⣀⣀⣾⣿⣿⣷⣷⡌⢻⣿⣏⢧⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⣿⡿⣰⣏⣹⣋⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣿⡙⣟⣹⡜⣿⣏⣯⠆⠀⠀⠀⠀⠀
⠀⠀⠀⠀⣿⢥⣿⡿⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⣿⣿⣹⣿⡎⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⢿⡸⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢃⠿⠁⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠃⢿⣿⣿⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⡟⠠⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⢠⡌⠻⠿⢺⣿⣯⣛⢿⣿⡿⣿⣯⡿⣿⣿⣟⣿⣿⣟⣟⡰⣰⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⢸⡀⠈⠂⠀⠀⠀⠉⠉⠙⠛⠛⠙⠛⠛⠉⠉⠈⠉⠉⠉⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⢸⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⢸⠂⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⡼⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⢸⠀⠀⠀⢸⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⢣⢇⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⢸⠅⠀⠀⣸⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⢰⡷⠸⢹⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⢸⠂⠀⠀⣿⢸⡄⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⣸⠃⡁⢸⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀