⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⣠⡾⠋⠀⢶⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⣠⡾⠫⠈⠀⠀⢹⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⣠⡾⠫⠈⠀⠀⠀⠀⣼⠰⣦⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠘⠋⠈⠀⠀⠀⠀⠀⠀⠈⠀⠈⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⣠⣼⢦⣼⣧⣀⠀⠀⠀⠀⠀⠀⠀⠀⣤⣦⣤⣤⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⢠⣿⡟⠎⠿⠟⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⢋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠸⣷⣇⡃⠀⠀⣄⠀⠀⠀⢀⣴⣤⠀⠀⠀⠀⢸⣏⡓⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠙⢷⣤⡀⠘⠻⣶⠀⠐⢾⣦⡿⠐⠀⠀⠀⠿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⢠⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠘⣿⠀⠀⠀⠀⠀⠀⠀⣠⣀⠀⡀⠙⢷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⢀⢰⣏⣵⣀⠄⠀⠀⠀⠐⠛⠛⠿⠏⠀⠀⠿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠈⠈⠉⠈⠻⠳⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⢠⡆⢀⠀⡀⠀⢠⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡄⠀
⠀⠀⠀⠀⠀⢸⣷⢸⡷⣿⠀⢸⡇⠀⠀⠀⠀⣰⣟⣗⠆⠀⠀⠀⠀⠀⠀⢿⡆⠀⠀⠀⢸⡇⡀
⠀⠀⠀⠀⠀⢸⣿⠆⠀⢸⡧⢼⡇⠀⠀⢰⡮⢽⡏⠉⠁⠀⠀⠀⠀⠀⠀⠀⣷⠀⠀⣼⡿⠅⠁
⠀⠀⠀⠀⠀⠘⢻⣧⣀⣾⡇⠸⢿⣄⣠⡾⡇⠸⡇⠀⠀⠀⠀⢀⣦⠄⠀⣠⡟⣠⡾⠋⠁⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠩⠉⠉⠀⠀⠈⠉⠉⠀⠀⠀⠀⠘⠛⠛⠓⠛⠋⠀⠀⠛⠁⠙⠁⠀⠀⠀⠀