# Problem #2147

 2147 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 $$(a+b+c+d)^{2}+(e+f+g+h)^{2}?$$ $\mathrm{(A)}\ 30 \qquad \mathrm{(B)}\ 32 \qquad \mathrm{(C)}\ 34 \qquad \mathrm{(D)}\ 40 \qquad \mathrm{(E)}\ 50$ This problem is copyrighted by the American Mathematics Competitions.
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