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Problem 2175. Slicing the cube

Created by Ziko

A bored matlab enthusiast has a cube with volume n^3. He decides to paint the entire surface of the cube red. Then, with slices parallel to the faces of the cube, he cuts the cube into 1x1x1 cubes.

Some cubes are completely free of paint:x

Some cubes are painted red on only one side:y

Some cubes are painted red on two sides:z

Help him find x,y & z

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31 correct solutions 40 incorrect solutions
Last solution submitted on Oct 25, 2014

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