⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣆⠀⠀⠀⠀⠀⠀⣴⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⣰⡿⠛⢿⣦⡀⠀⠀⢀⣼⡿⠛⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⢠⣿⠁⠀⢰⣿⣿⡷⣾⣿⣿⡄⠀⠘⣿⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⢸⣿⠀⠀⢻⠿⠋⠀⠈⠙⢿⡇⠀⢀⣿⠇⠀⠀⠀⠀⠀⠀⠀
⠀⠀⣀⣀⣤⣤⣴⡾⠟⢇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡼⠻⢶⣦⣤⣤⣀⡀⠀⠀
⠀⠀⠈⠻⣿⣤⣀⠀⠀⠈⠣⡀⠀⠀⠀⠀⠀⠀⢀⠞⠀⠀⠀⣀⣤⣿⠟⠀⠀⠀
⠀⠀⠀⠀⠈⣿⠋⢹⡖⠦⣄⡈⠀⠀⠀⠀⠀⠀⢀⡠⠴⢺⠉⢹⣿⠀⠀⠀⠀⠀
⠀⠀⠀⠀⣸⡟⠀⢸⡇⠀⠀⠉⠲⣄⠀⠀⡠⠞⠁⡀⠀⢸⠀⠀⣿⣆⠀⠀⠀⠀
⠀⠀⢀⣼⡿⠁⠀⠀⡇⠀⢰⣦⡀⠈⢳⠊⠀⢀⣴⡞⠀⢸⠀⠀⠘⢿⣦⡀⠀⠀
⣠⣶⠿⠋⠀⠀⠀⠀⡇⠀⢸⠙⠓⠦⢼⠤⠴⠻⠋⠀⠀⣼⠀⠀⠀⠀⠙⢿⣦⡀
⠈⢿⣆⠀⠀⠀⠀⠀⢹⡀⠀⢦⣀⠀⢸⠀⠀⣁⣀⡤⢴⠇⠀⠀⠀⠀⠀⣴⡟⠁
⠀⠈⢻⣧⡀⠀⠀⠀⠀⢳⡀⠈⢿⠀⢸⠀⠀⠟⠁⢠⠏⠀⠀⠀⠀⢀⣾⠟⠀⠀
⠀⠀⠀⠙⢷⣄⠀⠀⠀⠀⠱⣄⠀⠀⢸⠀⠀⠀⡠⠋⠀⠀⠀⠀⣰⡿⠃⠀⠀⠀
⠀⠀⠀⠀⠈⠻⣷⡀⢀⡎⠀⠈⠳⣄⢸⢀⡠⠞⠁⠀⣣⡀⣠⣾⠏⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠈⠻⣿⣿⣦⡀⠀⠈⠙⠋⠀⠀⣠⣾⣿⣿⠟⠁⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣿⣿⠂⠀⠀⠀⠀⠺⣿⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⢷⣄⣠⣄⣤⡾⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠿⠟⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀