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KöMaL 2019 K615

    Six points are selected in the interior of a square such that no three points among the 10 points (the vertices of the square and the six points) are collinear. From these 10 points, pairs of points are connected with line segments that do not intersect each other, and the process is continued until it is not possible to add a further line segment. What is the largest possible number of line segments that may be drawn in this way?

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