⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣿⣿⣿⣿⣿⣾⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣼⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⡿⠟⠀⠀⠀⢻⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⣿⢿⢿⡿⡁⠀⠀⠀⠀⢘⣟⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣤⠛⢛⣋⣁⣀⣀⠀⠀⠀⠀⠀⠀⠘⠿⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⡏⠀⠀⣸⣿⣯⠟⡛⠻⣿⣆⣶⣶⣦⣤⣤⣤⡀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⡇⠀⣠⣿⢻⣿⣤⣍⣸⣿⠛⣿⠁⠏⠉⢹⡿⠁⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣿⣿⠃⠀⠈⠉⠉⠛⢿⡼⠿⢶⣶⣶⣿⣃⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣴⣿⠃⠀⠀⠀⠀⠀⠀⣿⡇⠀⠀⠀⠀⠸⣿⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⢀⣴⡿⠋⣿⡇⠀⠀⠀⢸⡿⠿⠷⠏⠁⣠⣄⠀⠀⠀⣿⡀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⣰⡿⠋⠀⠀⢿⡇⠀⠀⠀⠈⠻⢷⣦⣤⣤⡟⠻⡷⠀⠀⣿⡇⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⣠⣾⠟⢿⣄⠀⠀⠘⣿⣄⠀⠀⠀⠀⠀⣈⣉⣉⣴⡆⠀⠀⢀⣿⠃⠀⠀⠀⠀⠀⠀⠀
⠀⠀⢀⣴⡿⠁⠀⠀⢻⣷⡀⠀⠈⢿⣦⠀⠀⣠⣾⣿⣿⣏⠉⠀⠀⣠⣿⢿⣤⠀⠀⠀⠀⠀⠀⠀
⠀⢠⣾⠋⠀⠀⠀⠀⠀⠙⣿⡄⠀⠀⠛⢿⣦⣻⣿⣿⣿⣿⣶⣦⣰⡿⠁⠈⢿⣇⠀⠀⠀⠀⠀⠀
⠀⣾⣃⠀⠀⠀⠀⠀⠀⠀⠈⢿⣦⠀⠀⠀⠙⠻⢿⣿⣿⣿⠋⣱⡿⠁⠀⢠⠈⣿⡄⠀⠀⠀⠀⠀
⣴⣿⣿⣿⣶⣤⣄⡀⠀⠀⠀⠀⠻⣷⣄⠀⠀⠀⠀⠈⠉⠙⠰⣿⢱⣦⠀⠘⠀⢹⣇⠀⠀⠀⠀⠀