$k$ lines not passing through the marked points and dividing the plane into several regions. The goal is to do it in such a way that no region contains points of both colors. Find the minimal value of $k$ such that the goal is attainable for every possible configuration of 4027 points.

In the plane, 2013 red points and 2014 blue points are marked so that no three of the marked points are collinear. One needs to drawThis problem is from the IMO.This problem is part of this set.

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