At a recent convention of millipedes and centipedes held at the hotel Fleeflee, the desk clerk registered 293 guests. He noticed that each millipede had 16 legs and that each centipede had 14 legs. Seth, the shoeshine spider, reported that there were 4,408 legs in total at the convention. He had to shine all their shoes! Can you help the desk clerk at the Hotel Fleeflea figure out how many of the registered guests were millipedes and how many were centipedes?