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gavinksong

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Everything posted by gavinksong

  1. Anyways, that was an excellent puzzle, witzar! Well done!
  2. Is there a more elegant reasoning to show why that is?
  3. A loosely related question: Is it possible to prove that a statement cannot be proven but can be disproven?
  4. In the OP, you asked why or why not. Can the existence of a solution be verified before finding one?
  5. Since nobody has gotten this... Here's the answer:
  6. Sorry for spoiling the fun, but here's a modified excerpt that explains the theorem for the case of natural numbers:
  7. Well, what are the chances: I just wrote about this in my blog.
  8. Wait, I just realized that the question is asking about D(2015), not D(2014).
  9. A programmer's solution. That's a beautiful triangle. Bonanova, is this an original puzzle? I'm not completely convinced that there's always a solution, and I don't think plasmid is either. Was there another strategy that you had in mind?
  10. Let's see if there are any other thoughts Is there any sort of probability distribution for Alice's margin of error? Can it be anything between 0 and infinity?
  11. oh yeah, so it looks like plasmid got it before me.
  12. It would be interesting to simulate this strategy against a grid of Paula numbers. I can't tell, from analysis or intuition, whether the strategy is effective. We must not have the same solution in mind.
  13. Yes, but they must all be different numbers.
  14. It's the latter. I can't figure this out.
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