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MathNet 2016-part-04 — 184 problems (EN–VI) Question 135

Math Olympiad Vault · MathNet 2016-part-04 — 184 problems (EN–VI)

Question 135

In the space, $2016$ distinct spheres are arranged. Some of these spheres are red, and the others are green. Each tangency point of two spheres of different colors is marked in blue. Find the greatest possible number of blue points.
(A. Kuznetsov)