KöMaL 2010 B4253
A 6×6×6 cube is built out of blue and red building blocks, such that every 2×2×2 part consists of exactly 3 red cubes and 5 blue cubes. Prove that it is also true for the big cube that exactly 3 vertices are red and 5 are blue.
Official text KöMaL. Quoted with source.
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