I kindly disagree. By themselves, idiots would never get a cold and keep themselves safe. But, a genius would be able to remove a cold from others. The number of people saved is much greater. So Geniuses trump idiots.
Q: How do you kill a cold-causing germ?By being a genius.Well then, let's start with all due haste.Aah! Let's get some help from the village too.Examining everyone in the Scarlet Devil Mansion alone would be a huge hassle.Aaaah...A: Because I'm a genius.