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?
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