MathDB
2n+3 points

Source: Moldavian MO 2006

March 19, 2006
geometry proposedgeometry

Problem Statement

Let n∈N∗n\in\mathbb{N}^*. 2n+32n+3 points on the plane are given so that no 3 lie on a line and no 4 lie on a circle. Is it possible to find 3 points so that the interior of the circle passing through them would contain exactly nn of the remaining points.
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