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Find n points such that the sum is maximal - ILL 1990 ITA1

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September 18, 2010
inequalitiesgeometry unsolvedgeometry

Problem Statement

Find nn points p1,p2,…,pnp_1, p_2, \ldots, p_n on the circumference of a unit circle, such that ∑1≤i<j≤npipj\sum_{1\leq i< j \leq n} p_i p_j is maximal.
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