Snap Cubes with Panels

You can easily connect the given cubes to construct various figures, and the surface of these figures can be covered by the given square panels or tiles. If you color the four edges of such a panel with four out of five colors and no same colors are allowed, you get 30 different pieces, which can be used to cover the whole surface of a heptacube with matching colors at common edges. This is possible for all 1023 heptacubes, naturally for some heptacubes only less than 30 pieces are needed.