2001 Cayley Problem 22

What is the shortest distance between two circles, the first having centre A(5, 3) and radius 12, and the other with centre B(2, -1) and radius 6?

\textbf{(A)}\ 1\quad \textbf{(B)}\ 2\quad \textbf{(C)}\ 3\quad \textbf{(D)}\ 4\quad \textbf{(E)}\ 5

If there are no answer choices shown, enter a numerical answer.

Full credit to this problem is given to the CEMC, you may view all Cayley contests here.