[udnlisvx] Fun with God's algorithm

Given a black box that can quickly calculate the number of moves from solved a given Rubik's cube is, we can imagine puzzles and games for humans:

Given two cubes, which is closer to solved?

What move from a given state gets closer to solved?

Players take turns trying to make a cube closer or farther from solved.  Parity in the Quarter Turn Metric might be useful or interesting here.

God's Algorithm is practical for 2x2.

Very similar to chess endgames.