Deformed 3x3x3-in-2x2x2 Multi-Cube - Icy Body & Black Roof

The Deformed 3x3x3-in-2x2x2 Multi-Cube has pieces with different thicknesses. For caps, there are 3 kinds of thickness ; for the edges, the left and right ends are having 2 different thicknesses; for the corners, 3 ends are in different thicknesses too. 

Since most of the pieces are in different thickness, the 3x3x3 ball inside will be deformed while turning. To solve it, you have to return the cube to the original shape, and original colors. This increases the difficulty, and is a challenge to solve.

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