⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⢳⡄⠉⠙⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⠁⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⢀⡼⠃⠀⠀⠀⡾⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⢸⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠈⢧⣄⣀⣀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⢴⣶⠒⠛⢦⡀⠀⠀⠀⠀⠀⠉⠙⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⡀⠀⠀
⠀⠈⣳⠀⢸⡇⠀⠀⣠⣤⡤⠴⠶⠗⠒⠛⠛⠛⠛⢶⡄⠀⠀⣴⠋⣡⠞⠋⠀⠀
⠀⣠⠏⠀⢸⠇⠀⣼⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⡄⢸⡇⠀⣿⠀⠀⠀⠀
⠰⣇⠀⣴⠏⠀⢠⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠸⣇⠀⠈⠳⢦⣄⡀
⠀⠈⢻⡇⠀⠀⢸⡇⠀⢰⡆⠀⠀⠀⠀⠀⢰⡄⠀⠀⢸⡇⠀⠈⠋⠛⠳⣆⢨⡿
⠀⠀⠘⣇⠀⠀⢸⡇⠀⠈⣧⠀⠀⠀⠀⠀⢸⡇⠀⠀⢸⡇⠀⠀⠀⠀⢠⡞⠋⠀
⠀⠀⠀⢹⡄⠀⢸⡇⠀⢸⣿⠀⠀⠀⠀⠀⢸⡇⠀⠀⢸⡇⠀⠀⠀⢠⡞⠁⠀⠀
⠀⠀⠀⠘⣇⠀⢸⡇⠀⠈⣿⠀⠀⠀⠀⠀⢸⡇⠀⠀⢸⡇⠀⠀⢀⡞⠁⠀⠀⠀
⠀⠀⠀⠀⠹⣆⢸⡇⠀⠀⣿⡀⠀⠀⠀⠀⢸⡇⠀⠀⢸⡇⠀⢀⡼⠃⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠙⣾⡇⠀⠀⠛⠁⠀⠀⠀⠀⠘⠃⠀⠀⢸⣇⡴⠋⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⢸⡇⠀⣠⠶⠒⠓⠚⠒⠛⠛⠛⢻⡄⢸⡏⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⢸⡇⠀⢹⡄⠀⠀⠀⠀⠀⠀⠀⡼⠁⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⢻⣄⠀⠀⠀⠀⢀⡼⠃⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠘⠷⣤⣤⡴⠋⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠘⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠈⠛⠛⠓⣶⠶⠦⠤⠤⣤⡶⠦⠖⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣧⠀⠀⠀⠀⠀⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠐⠛⠋⠁⠀⠀⠀⠀⠀⠙⠓⠒⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀