Re: Dawson's sprouts

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Dan Hoey

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Oct 24, 2006, 12:33:12 PM10/24/06
to sprouts...@googlegroups.com, th...@best.com, aaron.n...@gmail.com, Josh Purinton
With great thanks to Josh Purinton and his Aunt Beast, I believe I've
got my code debugged now, and it found the expected counterexample.

D(2,3,4),D(1,3,5), or
2z,;zy,;yx,;xa,;2w,;wb,;2v,;vu,;uc,;2t,;td,;2e,;edc,2ba,;
has nim-value *10, while

D(2,3,4),D(1,5,3), or
2z,;zy,;yx,;xa,;2w,;wb,;2v,;vu,;uc,;2t,;td,;2e,;edc,2ab,;
has nim-value *8.

I have not made a detailed examination of the proof that this is
impossible, so I don't know where it fails. If anyone wants a
detailed list of the nim-values I calculated in arriving at this
counterexample, just ask.

Dan

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