⠀⠀⠀⢴⡆⠀⠀⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⢸⡷⠚⠉⠀⠀⠀⠙⡄⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⢀⣠⠀⠀⠀
⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⡟⠒⠒⠉⠉⢹⠀⠀⠀
⠀⠀⠀⢸⡇⠀⠀⠀⣀⠀⠀⡇⠀⠀⠀⠀⢸⠀⠀⠀
⠀⠀⠀⢸⡷⠒⠉⠉⠀⡏⢉⡇⠀⠀⠀⠀⢸⠀⠀⠀
⠀⠀⠀⢸⡇⠀⠀⠀⠀⣟⠉⠀⠀⠀⠀⠀⣸⠀⠀⠀
⠀⠀⠀⢸⡇⠀⠀⠀⠀⠈⠉⠒⠒⠒⠒⠉⠀⠀⠀⠀
⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⣠⣄⠀⠘⠋⠉⠛⠀⢀⣤⡀⠀⠀⠀⠀
⠀⠀⠀⠀⠺⠋⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⠂⠀⠀⠀
⠀⠀⠀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⠀⠀
⠀⠀⢸⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢘⣿⠀⠀
⠀⠀⠘⠛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠛⠀⠀
⠀⠀⠀⠀⣠⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡀⠀⠀⠀
⠀⠀⠀⠀⠈⠻⡖⠀⢀⠀⠀⢀⠀⠐⡾⠋⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⣀⣠⣤⣤⣤⣤⣀⣀⠀⠀⠀⠀⠀⠀
⠀⠀⢀⡤⠞⢋⣡⣤⠤⠴⠤⠤⣤⣉⠛⠶⣄⠀⠀⠀
⢀⡴⠋⣠⠞⢋⣡⠴⠶⠒⠲⠶⢤⣌⠙⢦⣈⠳⣄⠀
⡞⢠⡞⢡⡴⢋⡤⠖⠛⣛⡛⠓⠶⣌⠛⣦⠙⢦⠈⢧
⣤⡏⢰⠏⣰⠋⣠⠞⠋⠉⠉⠙⢦⡌⠳⡌⢳⣈⣧⠈
⠿⣶⣿⣶⣧⣼⠁⠀⠀⠀⠀⠀⠀⢹⡄⢻⣉⣇⣸⣶
⠀⠈⠁⠀⠈⠻⠛⢶⡄⠀⠀⠀⣠⣤⡿⠛⠉⠛⠋⠀
⠀⠀⠀⠀⠀⢀⣀⣼⠇⠀⠀⢸⡏⠀⠀⠀⠀⠀⠀⠀