## IMC 2014 Day 1 Problem 5

Let be a close broken line consisting of line segments in the Euclidean plane. Suppose that no three of its vertices are collinear and for each index , the triangle has counterclockwise orientation and , using the notation modulo . Prove that the number of self-intersections of the broken line is at most .

**IMC 2014 Day 1 Problem 5**

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Categories: Combinatorics, Geometry, Problem Solving
Combinatorics, Geometry

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