Tommy has just ten resistors, a 1-ohm, a 2-ohm, a 3-ohm and so on up to a 10-ohm. He wants to wire them up in a combination that gives a total resistance as near as possible to π ohms, that is to say 3.14159265(etc.) ohms. He doesn't have to use all the resistors - if he can get nearer to π ohms by only using (say) eight of the resistors, that's fine. What's the best he can do?