A 3 by 3 by 3 cube was painted on all faces and then cut apart into twenty-seven 1 by 1 by 1cubes.
How many 1 by 1 by 1 cubes had no faces painted? One face painted? Two faces painted? Three faces painted? Four or more faces painted? Answer the same question with for a 4 by 4 by 4 cube.
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