AMC 12 2005b Problem 20

Let $a,b,c,d,e,f,g$ and $h$ be distinct elements in the set

$$\{-7,-5,-3,-2,2,4,6,13\}.$$

What is the minimum possible value of

$$(a+b+c+d)^{2}+(e+f+g+h)^{2}?$$

$\mathrm{(A)}\ 30 \mathrm{(B)}\ 32 \mathrm{(C)}\ 34 \mathrm{(D)}\ 40 \mathrm{(E)}\ 50$