Conway's puzzle

Conway's puzzle, or blocks-in-a-box, is a packing problem using rectangular blocks, named after its inventor, mathematician John Conway. 

It calls for packing thirteen $1 × 2 × 4$ blocks, one $2 × 2 × 2$ block, one $1 × 2 × 2$ block, and three $1 × 1 × 3$ blocks into a $5 × 5 × 5$ box.

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