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Game of Kyles

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  • karoyakani + 1 comment

    The title should read "... Kayles". OEIS A002186 Sprague-Grundy values for the game of Kayles (octal games .77 and .771).

    Hasekll excerpt

    kayles = (==0) . foldl1 xor . map (grundy!!)

grundy = map g [0..]
    where
    g 0 = 0
    g n = mex n [grundy!!l `xor` grundy!!r | m<-[n-1,n-2],l<-[0..m`div`2],let r=m-l]
    mex n = minimum . ([1..n] \\)

  • skanaley + 1 comment

    In test case 1, how are the last two "IXIXIII" and "XIIIXIXXIX" wins? And are there different test cases for different languages?

    • ivanbessonov + 0 comments

      Winning moves for these cases:
      IXIXIII -> IXIXIXI
      XIIIXIXXIX -> XIXIXIXXIX

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