Question 1172768
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It is well known entertainment problem, so I will give you only HINT to solve it.



&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;<U>HINT</U> : &nbsp;&nbsp;They are the cubes at the surface that are &nbsp;3 &nbsp;mm or more apart from each edge.


&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;So, consider a square grid at each face and calculate the number of appropriate square cells at each face.