⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠠⠄⠐⠒⠒⠒⠒⠂⠠⠄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡠⠈⣀⠤⠐⠒⠒⠒⠒⠒⠒⠂⠄⡀⠑⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡅⠘⠄⣀⣀⣀⣀⣀⣀⡀⣀⡀⠄⠘⢀⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠒⠤⠄⣀⣀⣀⣀⣀⣀⣀⣀⠤⠐⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⢀⣤⣦⣤⡀⠀⠀⠀⢀⣠⣶⠾⠟⠛⠋⠉⠉⠉⠉⠛⠛⠿⢷⣦⣀⠀⠀⠀⣠⣴⣶⣦⡀⠀⠀
⠀⠀⣾⡟⠉⠙⠿⣷⣤⣼⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⢷⠾⠟⠛⠉⠀⢹⣷⠀⠀
⠀⠀⢻⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣼⡟⠀⠀
⠀⠀⠀⠻⢷⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣴⡾⠋⠀⠀⠀
⠀⠀⠀⠀⢀⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣷⡀⠀⠀⠀⠀
⠀⠀⠀⠀⣾⡏⠀⠀⠀⠀⠀⠀⢀⡀⠀⠀⠀⠀⠀⠀⠀⢀⣀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣧⠀⠀⠀⠀
⠀⠀⠀⢀⣿⠃⠀⠀⢀⣤⣶⠿⠛⠋⠀⠀⠀⠀⠀⠀⠀⠉⠛⠻⠿⢶⣦⠀⠀⠀⠀⠀⣿⡄⠀⠀⠀
⠀⠀⠀⢸⡿⠀⠀⠀⠈⣩⣤⣄⠀⠀⠐⢦⡴⠶⢦⣤⡶⠀⠀⢠⣶⣶⡄⠀⠀⠀⠀⠀⢸⣧⠀⠀⠀
⠀⠀⠀⣾⡇⠀⠀⠀⠀⠈⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⠀⠀⠀
⠀⠀⠀⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⡆⠀⠀
⠀⠀⢠⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣷⠀⠀
⠀⣠⣿⠛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣧⠀
⢠⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⣀⠀⠀⠀⠀⢻⡇
⠈⠿⣾⣤⣴⣾⣿⣿⣿⣷⣦⣀⡀⠀⣀⣤⣶⣿⣿⣿⣷⣤⣀⢀⢀⣠⣾⣿⣿⣿⣿⡷⣦⣤⣤⣿⠇
⠀⠀⠀⠀⠀⠀⠈⠋⠛⠋⠉⠛⠛⠛⠛⠋⠉⠙⠛⠋⠁⠉⠉⠛⠛⠋⠁⠈⠉⠉⠁⠀⠈⠉⠉⠀⠀