Okumura Rin vs Edward Elric

Oh god. I love them both to bits (Rin slightly more I admit). Ed has serious fighting skills, alchemy and determination. Rin has unstoppable flames and a determination just as fierce. But that won't really help, will it? Ed can make any weapon by clapping his hands, Rin hasn't really got proper training in fighting (minus street fighting) and he wouldn't really hurt Ed with his flames. I don't think Rin can beat him unless he goes demon?