⠀⠀⠀⠀⠀⠀⠀⢀⡾⣇⠀⠀⠀⠀⠀⠀⢀⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠻⣦⡀⠀⣀⣤⣀⣾⢯⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠈⣧⠳⣽⣷⡞⢿⠿⠾⠿⢯⣘⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⢈⣷⠟⠉⢷⠀⣿⣦⣄⠀⠈⠳⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⢠⣾⠟⠀⠀⠈⠳⠋⣿⠈⢳⡀⠀⠘⡍⠳⢄⡀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⣠⠴⣻⠏⠀⠀⠀⠀⠀⢀⠸⠇⠀⢻⣸⣷⣽⣀⠀⠙⢦⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠐⠾⣇⣼⡏⠀⠀⠀⠀⣴⣾⣿⣤⣤⠤⠟⢻⣷⡉⠙⠛⢀⡈⢷⡀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⢹⣿⠀⠀⠀⠀⠀⠿⣿⣿⣿⠃⠀⣠⡀⠙⢷⡄⠀⠀⠙⣶⣿⣦⣤⣤⠴
⠀⠀⠀⠀⠀⣼⡟⠀⠀⠀⠀⠀⠀⠀⠀⣀⣠⡴⠋⣇⠀⠀⠈⠃⠀⠀⠸⣇⠉⠉⠁⠀
⠀⠀⠀⢀⣾⠟⠀⠀⠀⢀⣤⠴⠛⠁⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⣴⣄⠀⣿⡄⠀⠀⠀
⠀⠀⣠⣿⠏⠀⣀⣴⠞⠉⠀⠀⠀⠀⠀⠀⠀⠀⢀⡿⠀⠀⠀⢀⣿⣿⢷⣸⡇⠀⠀⠀
⢠⣾⡟⠁⢀⡘⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⠃⠀⢰⡆⢸⣿⡿⠀⢿⡇⠀⠀⠀
⣼⣿⣇⢰⡿⠿⡾⡗⠀⠀⠀⠀⣠⣤⣶⣶⡿⠟⠁⠀⠀⣸⠃⣸⣿⡇⠀⢸⡇⠀⠀⠀
⠧⣿⡏⠈⣳⠴⣃⣴⣶⣄⣴⣿⡿⠋⠉⠁⠀⠀⠀⠀⣠⡿⠀⢿⣿⠁⠀⠸⠃⠀⠀⠀
⠀⠻⣧⣠⣼⠞⠉⡽⠛⠉⢰⡿⠁⠀⠀⠀⠀⠀⢀⣴⡿⠁⠀⢸⣿⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠈⠓⠶⠶⠛⠁⠀⠀⣾⣷⡟⠀⠀⠀⠀⣠⣿⠟⠁⠀⢠⠘⣿⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠏⣧⠄⠀⠀⣾⣿⠋⠀⠀⠀⣾⠳⣻⡇⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⠀⣿⠀⠀⢸⣿⡇⣴⣾⡆⢰⣿⠀⠙⢿⡄⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢧⢸⡄⠀⢸⣿⣿⡟⢸⣷⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢷⠀⢸⣿⣿⠁⢸⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢧⠈⣿⣿⠀⠸⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢧⢻⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢻⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣻⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⢀⡾⣇⠀⠀⠀⠀⠀⠀⢀⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀