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Concenter (Extremely Challenging)

A solid, 4 block cube, needs to be assembled (64 total blocks). At the center is a cube of white blocks (8 total), surrounded by blue blocks (48 total) with gray blocks at each of the corners of the cube (8 total). What makes this challenging is the limit of a single pair of fixed lateral welders. Even if you choose not to attempt this puzzle, think about how you would go about solving it. Have fun.