Magic Cube

// order: Up --> Right --> Front --> Down --> Left --> Back

// (because the first implemented Solver - the two-phase Cube3 one - expects such order)

//

// s : size of the cube

//

// Left  :   index --> ((s-1) + index/s) * s + index%s

// Right :   index --> 6*s*s - 12*s + 7 - index

// Bottom:   index --> s|index ? (s-1 - index/s) : (s*s + s-1 + 4*(index%s -1)*(s-1) - index/s)

// Top   :   index -->

// Front :   index -->

// Back  :   index -->