Scientific Prince & Magical Princess

In a certain place, there was a land of science and a land of magic. The princess of the magical kingdom kidnaps the prince of the scientific kingdom and imprisons him in the dungeon of her castle in order to obtain magic that doesn't require spells (i.e., science). The prince and princess, whose common senses are incompatible with each other's, learn about one another by showcasing their respective scientific and magical abilities.