What is the main conflict in The Feathered Ogre by Italo Calvino?

In this fairy tale, a man goes on a quest for a feather plucked from the body of a terrible ogre who lives in a cave on a mountain and eats every human being he sees. In his search for the ogre, the man stops four times and promises each of the people he meets to bring them back a feather from the ogre. When he reaches the ogre's cave, a beautiful girl, the ogre's wife, helps him to trick the ogre, so that they may both flee the cave with the desired feathers.