Archives

Here are the results for postions at exactly that distance:

 d   mod M + inv          mod M       positions
-- -------------- --------------- ----------------
 9      183339529       366611212      17596479795
10     2419418798      4838564147     232248063316
11    31909900767     63818720716    3063288809012
12   420569653153    841134600018   40374425656248
13  5538068321152  11076115427897  531653418284628
14 72805484795034 145610854487909 6989320578825358

I had the good fortune to run a few test calculations on a brand new Cray XT6m with over 4000 Opteron cores. As I have done in the past I tried my own program for rubiks cube calculation. Results looked promising and after some optimisations I was able to complete the calculation out to 14 moves in the full turn metric in a about nine days. If I had been able to use the entire machine alone it should have taken a bit over a day.