> that would reveal they were cheating!
Seems like it.
Plus the purpose of doing homework in school isn't because the professor thinks you have an answer to something they've been wondering about, it's that it's believed that if you let the thoughts go into your head, mix around awhile, and try to come back out, you'll learn by side-effect. All this biz where people are worried about the answers LOOK like misses the point that it's hard for the professor to see whether it went through your head at all.