Eli Lehrer has the right solution, for the wrong reasons.
I’ll explain why a little later, when I get a minute.
Actually, looking at what I just wrote, I realize that people are going to think, “Great. Now he’ll go off somewhere and get hit by the beer truck, and it will be like Fermat’s Last Theorem, and it will take centuries to figure it out.”
I’ll try to get to it later, honest. In the meantime, I can leave it as an exercise for the students in the comments section, and maybe I won’t have to.