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About gavinksong

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    i'm a bird

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  1. I will confirm that what you observed is true. You need to be clever.
  2. Hmm. Maybe this is trivial, but I have a counterexample.
  3. Let me explain my code from before. The results it gives suggests that the surgeon's claim is correct.
  4. I wrote some short Haskell code to verify the surgeon's claim for all worms of a given length. I have yet to think of an actual proof.
  5. Where did the bin come from?
  6. Actually, DeGe, your first method is approaching one of the solutions, but it isn't quite there because it still uses irrational numbers in the final calculation.
  7. Hey, thanks for giving this puzzle some attention. Let me rephrase the problem so that it is less ambiguous. There will still be multiple solutions. How can you determine the last three digits of (3 + √5)n before the decimal using only integer operations?
  8. Wow, I really didn't think anybody would get this! I'm actually super impressed. ))) Good job!
  9. Yeah, I think post #6 should be the Best Answer.
  10. I'd like to know the answer
  11. Incidentally, this explanation provides a much simpler way to arrive at the solution to your aha​ problem, bonanova. Edit - I just realized that there was an equally elegant words-only solution further along the aha thread. And it has a slightly different angle than the explanation we have above. Man, this is what I love about math.
  12. Say we want to simulate an N sided die.
  13. I'm gonna go out on a limb here, but based partially from a trend I have noticed and the formula that bonanova cited...