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Suppose that x1, x2, …., xn (n > 2) are real numbers such that xi
= Xn-i+1 for 1 ≤ i ≤ n. Consider the sum S = ΣΣΣxixjxk, where
summations are taken over all i, j, k : 1 ≤ i, j, k ≤ n and i, j, k are all
distinct. Then S equals

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