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IMSO 2018 — Math Division — Short Answer Question 18

IMSO Maths · IMSO 2018 — Math Division — Short Answer

Question 18

We place 2018 distinct points inside a square, then divide the square into triangles, whose vertices are those 2018 points and the 4 vertices of the square. (that is, we have 2022 points in total, which are vertices of the triangles). For each triangle, each point is either one of its vertices or lies completely outside the triangle itself. In how many triangles has the square been divided?