This is more along the lines of proving what I know. Kind of struck me that this is a visual representation of something you see in martial arts all the time. You can use techniques you know to force your way through to a valid but un-elegant solution or you can do it elegantly. Both are technically correct but it is pretty obvious which way you should be solving the problem. *ugh* I think I am not up to reviewing though freshman year of high school. Who would have thought I forgot so much.
