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IL-GROSSMAN 1997 Problem 2

    Is there a planar polygon whose vertices have integer coordinates and whose area is 1/21/2 , such that this polygon is (a) a triangle with at least two sides longer than 10001000 ? (b) a triangle whose sides are all longer than 10001000 ? (c) a quadrangle?

    Dataset text AI-MO AoPS. Quoted with source.

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