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Applied Algorithms and Structure

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Let A[1...n] be an array of positive integers which are distinct. Is there a linear-time algorithm which can find five different elements x1, x2,..., x5 of A[1...n] s.t. the following holds? x1 ∗ x2 + x3 ∗ x4 + x5 = 32767 If your answer is yes, provide such an algorithm; otherwise, argue why it is impossible.
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