This would usually I think be more suited as a comment, but you were looking for guidance instead of a complete answer as it were, and I don't have enough reputation to comment.

I'd highly recommend Claude Shannon's introduction (the literal introduction, he developed the concept) to the question you pose. The paper is here (http://netlab.cs.ucla.edu/wiki/files/shannon1949.pdf), and the section is Part 10 on Pg. 679. The more broad statement of your question is Theorem 6, but he does (as he always does) an incredibly good job of approaching both the motivation for the theorem as well as the proof, the latter of which he gives in relatively informal way.

This would usually I think be more suited as a comment, but you were looking for guidance instead of a complete answer as it were, and I don't have enough reputation to comment.

I'd highly recommend Claude Shannon's introduction (the literal introduction, he developed the concept) to the question you pose. Here’s the paper (PDF) and the section is Part 10 on Pg. 679. The more broad statement of your question is Theorem 6, but he does (as he always does) an incredibly good job of approaching both the motivation for the theorem as well as the proof, the latter of which he gives in relatively informal way.