Reply to post: Re: As for that time...

Robot solves Rubik's Cubes in 637 milliseconds

DavCrav

Re: As for that time...

"Since the robot in the video would be totally unable to solve a 4x4x4 cube, I'd say that the complexity in this case is "worse than exponential"."

Now I see what the previous commentator might have meant: the nxnxn cube, whether finding the optimal solution is in P. I very much doubt if it's in NP, and since the symmetric group on n points has order n!, I would hazard a guess it's not soluble in O(a^n) time for any a>0.

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