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BALKAN-SL 2017 C3

Let n≥4n \geq 4 points in the plane, no three of them are collinear. Prove that the number of parallelograms of area 1 , formed by these points, is at most n2−3n4\frac{n^{2}-3 n}{4}.

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\frac{n^{2}-3 n}{4}

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