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If you take a 3×3×33 \times 3 \times 33×3×3 Rubik cube and break it up into the 33 3^3 33 cubes, how many cubes would have stickers on exactly 222 faces?
Bonus question: Can you generalize this for a N×N×NN \times N \times NN×N×N Rubik cube?
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