⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣶⣶⣦⣌⠙⠋⢡⣴⣶⡄⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⣿⣿⣿⡿⢋⣠⣶⣶⡌⠻⣿⠟⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⡆⠸⠟⢁⣴⣿⣿⣿⣿⣿⡦⠉⣴⡇⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⠟⠀⠰⣿⣿⣿⣿⣿⣿⠟⣠⡄⠹⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⢸⡿⢋⣤⣿⣄⠙⣿⣿⡿⠟⣡⣾⣿⣿⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⣠⣴⣾⠿⠀⢠⣾⣿⣿⣿⣦⠈⠉⢠⣾⣿⣿⣿⠏⠀⠀⠀
⠀⠀⠀⠀⣀⣤⣦⣄⠙⠋⣠⣴⣿⣿⣿⣿⠿⠛⢁⣴⣦⡄⠙⠛⠋⠁⠀⠀⠀⠀
⠀⠀⢀⣾⣿⣿⠟⢁⣴⣦⡈⠻⣿⣿⡿⠁⡀⠚⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠘⣿⠟⢁⣴⣿⣿⣿⣿⣦⡈⠛⢁⣼⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⢰⡦⠀⢴⣿⣿⣿⣿⣿⣿⣿⠟⢀⠘⠿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠘⢀⣶⡀⠻⣿⣿⣿⣿⡿⠋⣠⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⢿⣿⣿⣦⡈⠻⣿⠟⢁⣼⣿⣿⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠈⠻⣿⣿⣿⠖⢀⠐⠿⠟⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀