A girl named "Opposite"

In the future, AI names people by what they are most likely going to be like in the future, with their last names being their family career. Opposite had been hidden from the world for her name, but when she is about to be executed, she gets "kidnapped" by other teens like her. She immediately becomes friends with them as they run from their countries. Opposite also starts to see what the world is beyond her castle, and she even finds love in the outside. The teens also find out they have magic powers, but they don't know how to control them.