olymmath

UA-UMO 1997 Problem 102

  • Grade 10

Each side of an equilateral triangle is divided into 19971997 equal parts, and each vertex of the triangle is joined by a segment to each of the division points on the opposite side. All the intersection points of these segments inside the triangle are marked. How many marked points are there?

Dataset text AI-MO AoPS. Quoted with source.

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