olymmath

CN-TST 2019 Problem 21

  • Test 4

6060 points lie on the plane, such that no three points are collinear. Prove that one can divide the points into 2020 groups, with 33 points in each group, such that the triangles ( 2020 in total) consist of three points in a group have a non-empty intersection.

Dataset text AI-MO AoPS. Quoted with source.

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