⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⠟⠛⠛⠻⣦⣠⣤⣤⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⢀⣿⠁⠀⠀⠀⠀⠹⠋⠁⠀⠙⣿⠶⣶⣤⣤⣤⣄⡀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⣴⡾⠿⠀⢠⣶⠟⠻⢷⣄⠀⠀⠀⠀⠀⠀⠛⠁⠀⠙⣷⡀⠀⠀
⠀⠀⠀⠀⠀⣸⣟⠀⠀⢀⣿⣇⠀⠀⠀⢿⠟⠛⢷⡄⠀⠀⠀⠀⠀⣀⣿⠃⠀⠀
⠀⠀⠀⢠⡾⠛⠋⠀⢰⡟⠉⢻⣷⣤⣀⠀⠀⠀⢸⡿⠟⠛⢷⡄⠀⠀⢹⡇⠀⠀
⠀⠀⠀⠸⣧⣄⡀⠀⠈⠀⠀⠈⠉⠉⢿⡆⠀⠀⠀⠀⠀⠀⠘⠟⠀⣀⣾⠇⠀⠀
⠀⠀⠀⢸⣿⡻⢿⣷⣦⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣶⣿⠿⣿⡷⠀⠀
⠀⠀⠀⠀⣿⣇⠀⠈⣿⣿⣿⣿⣶⣤⣄⡀⣀⣤⣴⣾⣿⣿⣿⡏⠀⢰⣿⠇⠀⠀
⠀⠀⠀⠀⢹⣿⡀⠀⢹⣿⣿⣿⠙⠻⢿⣿⡿⠟⠋⢹⣿⣿⣿⠀⠀⣼⣿⠀⠀⠀
⠀⠀⠀⠀⠈⣿⡇⠀⠘⣿⣿⣿⠀⠀⠀⣿⡇⠀⠀⣾⣿⣿⡏⠀⢠⣿⡇⠀⠀⠀
⠀⠀⠀⠀⠀⢹⣿⠀⠀⢿⣿⣿⡆⠀⠀⣿⡇⠀⠀⣿⣿⣿⠃⠀⣼⣿⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠘⣿⡇⠀⢸⣿⣿⡇⠀⠀⣿⡇⠀⠀⣿⣿⡿⠀⢀⣿⡇⠀⠀⠀⠀
⠀⠀⠀⠀⠀⣠⣿⣿⣤⣀⣿⣿⡇⠀⠀⣿⡇⠀⢰⣿⣿⡇⠀⣸⣿⠁⠀⠀⠀⠀
⠀⠀⠀⢀⣾⠋⠀⠀⠈⣻⡿⠿⢷⣦⡀⣿⡇⠀⢸⣿⣿⠀⢀⣿⡏⠀⠀⠀⠀⠀
⠀⠀⠀⣼⡿⠄⠀⠀⢰⡟⠁⠀⠀⢹⣷⣿⡇⠀⢸⣿⡏⢀⣸⣿⠁⠀⠀⠀⠀⠀
⠀⠀⣼⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⣿⡇⠀⣾⣿⣿⡿⠟⠋⠀⠀⠀⠀⠀⠀
⠀⠀⠸⣷⣄⣀⣠⣴⣷⠀⠀⠀⠀⠀⠀⢻⣷⡿⠟⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠉⠉⠉⠁⠻⠷⠶⢿⣦⣤⣴⡿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀