⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⠟⣷⡀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⣼⡏⢀⣿⠁⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⡿⠛⠉⠉⠉⠛⢿⣇⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣦⣤⣶⡆⠀⠀⠀⠙⣷⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡿⠋⠀⠀⣿⣄⣠⣼⣇⠀⣿⡇⠀⠀⠀⠀⠀
⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⠟⠀⠀⠀⠀⠈⠉⠉⠉⢻⡿⠛⠀⠀⠀⠀⠀⠀
⣿⡟⠀⠀⠀⠀⠀⠀⠀⢠⣾⣏⣀⣀⡀⠀⠀⠀⠀⠀⠀⣿⠇⠀⠀⠀⠀⠀⠀⠀
⢻⡆⠀⠀⠀⠀⠀⠀⢠⣿⣃⡽⣟⡛⠁⠿⠃⠿⣷⣦⣤⣿⠀⠀⠀⠀⠀⠀⠀⠀
⠘⢿⡄⠀⠀⠀⠀⢀⣿⡟⢁⣤⣤⡙⡆⢀⡔⣋⣉⠙⢧⣿⠀⠀⠀⠀⠀⣾⣷⡄
⠀⠈⠻⣦⣀⠀⠀⣾⡏⣆⠘⢿⡿⢇⡇⢸⢸⣿⣿⠇⢨⣿⡆⠀⠀⠀⠀⠈⠉⣿
⠀⠀⠀⠈⠙⠛⢷⣿⠀⠈⠑⠒⠒⡋⠀⠈⠳⢭⣡⡤⠊⢸⣷⠀⠀⠀⠀⠀⣰⡟
⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠸⣿⣤⣴⡿⠁⠀⠀⢀⣀⣿⡷⠶⠶⠶⠟⠋⠀
⠀⠀⠀⠀⠀⠀⣿⡇⠀⠀⠀⠀⠀⠈⠉⠉⠁⠀⠀⠀⢸⠀⢿⣿⡀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡇⢸⣿⣇⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⢸⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣞⡵⢳⠀⣿⣿⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠈⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡜⠀⢿⣿⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠙⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⠃⣸⣾⡏⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣄⠀⠀⠀⠀⠀⠀⠀⢀⠤⡿⢴⣿⡟⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⢷⣤⣀⡀⠀⠀⠀⢘⣴⣷⡿⠟⠻⣶⣀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡾⠛⠛⠻⠿⠿⠿⠛⠛⠁⠀⠀⠀⠈⠻⣦⡀⢠⡄
⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢷⣾⠃
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠸⢿⣟⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀