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RichFelker's profile
Rich Felker
Rich Felker
Rich Felker
@RichFelker

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Rich Felker

@RichFelker

Yeah, I do @musllibc, FOSS & infosec stuff. But now is not the time for a mostly-/only-tech Twitter feed.

musl-libc.org
Joined March 2014

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    1. Clifford Wolf‏ @oe1cxw Jul 16

      Clifford Wolf Retweeted Michael Fogleman

      A nice thing about the "hardest puzzle" of a group of puzzles like that is that every possible first move should get us closer to the solution (or keep the distance to the solution constant). There is no incorrect first move.https://twitter.com/FogleBird/status/1018866284237348866 …

      Clifford Wolf added,

      Michael Fogleman @FogleBird
      I did another Rush Hour run on EC2 (72 cores) to compute every 6x6 puzzle with up to 2 walls. Alas, the hardest puzzle is still the 60-move puzzle with 1 wall. But here's the hardest with 2 walls, it takes 58 moves. Play in your browser! https://www.michaelfogleman.com/static/rush/#BBoKMxDDDKMoIAALooIoJLEEooJFFNoGGoxN … pic.twitter.com/BQgbtwTZuw
      Show this thread
      1 reply 0 retweets 5 likes
    2. Rich Felker‏ @RichFelker Jul 16
      Replying to @oe1cxw

      Does being told that it's the hardest give you a free piece of information that makes it no longer the hardest?

      1 reply 0 retweets 1 like
    3. Clifford Wolf‏ @oe1cxw Jul 16
      Replying to @RichFelker

      I guess that depends on your definition of hardest. If defined as "number of moves needed" then the extra information doesn't change anything of course. A better def of "hard" would probably somehow use the ratio of legal moves that get us closer to solution vs all legal moves.

      1 reply 0 retweets 1 like
    4. Clifford Wolf‏ @oe1cxw Jul 16
      Replying to @oe1cxw @RichFelker

      For example: The (logarithm of) the expected number of random moves for solving from a given starting position. I think that would be a much better metric for comparing the difficulty (for human players) of two such puzzles.

      1 reply 0 retweets 1 like
    5. Clifford Wolf‏ @oe1cxw Aug 7
      Replying to @oe1cxw @RichFelker

      Update: I just learned that the expected number of random moves for solving a puzzle is called the "monkey number" of that puzzle. When modelling the puzzle as Markov chain then it's called the Kemeny’s constant. Interesting fact: It doesn't actually depend on the initial state.

      1 reply 0 retweets 1 like
    6. Clifford Wolf‏ @oe1cxw Aug 7
      Replying to @oe1cxw @RichFelker

      So that means, as I understand it (only had a quick look now), that it is not a good metric if you want to describe how "hard" it is to solve the puzzle from a certain initial state.

      1 reply 0 retweets 1 like
      Rich Felker‏ @RichFelker Aug 7
      Replying to @oe1cxw

      Yes, E(# random moves) does not sound like a good metric of hardness, intuitively. It's more like # of intelligently chosen moves.

      11:58 AM - 7 Aug 2018
      0 replies 0 retweets 0 likes

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