Junior Balkan MO 2011 - Problem 3


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Let n>3 be a positive integer. Equilateral triangle ABC is divided into n^2 smaller congruent equilateral triangles (with sides parallel to its sides). Let m be the number of rhombuses that contain two small equilateral triangles and d the number of rhombuses that contain eight small equilateral triangles. Find the difference m-d in terms of n.

Izvor: Juniorska balkanska matematička olimpijada 2011.