This may sound like a strange question, but I am really curious how others would feel. Suppose you are a fourth year university student, or even a graduate student, specialized in math and got virtually all A+'s from solid studying and hard work. Then, somehow, you were able to write a high school math contest, and results reveal that though you did well, there were many high school students who actually beat you. Would you then realize then that those A+'s that you got in those many university math courses were because you studied hard, but your higher-order and creative thinking never really improved (as much as university math knowledge, which were of no help in the high school math questions)? Would you feel that you were not as smart as you thought you were, even ashamed that high school students who never studied the some four years of sophisticated university math actually beat you and are more clever than you?