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Everything posted by plasmid

  1. Jelly beans join the clean plate club

    The program isn't a proof, it's just an application of a greedy algorithm that starts from states with an empty plate and works backwards to see whether every state could eventually reach one with an empty plate. It covered every possible state for up to 500 jelly beans, but it doesn't prove that a plate can always be cleared if you have something like 8x1012 jelly beans.
  2. Jelly beans join the clean plate club

    I wrote a perl program to do what I said earlier...
  3. Jelly beans join the clean plate club

    @Molly Mae maybe this'll help. Q: How should you arrange all those plates of jelly beans? A: Put them on a table.
  4. Who can go the lowest?

    Not fully calculated because the math gets extremely messy and complicated pretty fast, but a description of how to go about it Although a better answer might be that if there are 10 people playing a game with at least $10 entry fee and $100 payout with a non-zero chance that no one will win and the house will keep everything if everyone ends up picking a number in common with at least one other player, then your best move is to not play.
  5. Even Odds?

    My answer would be Edit: addendum It might also be worth saying how big of an effect that would be.
  6. Even Odds?

    Do we get any information about how your sister pulls out the peas -- like should we act as if the number of peas that gets pulled out is a number drawn from a mean (perfect number of peas to fit in her hand) +/- standard deviation, a Poisson distribution, or something else -- or is that left for us to decide?
  7. Finding a function

    Sort of combining the two solutions already given
  8. What am I ?

    You are or more seriously

    From this screenshot, I can say that Questions that might help work toward a solution if it’s neither of those: Can you say what format the door ID is: Number of characters? All alphabetical? All numeric? Both alpha and numeric? Colors? Coordinates? Is there a reasonably high chance to expect that this should end up spelling out a phrase in plain text when we find the solution? Any previous puzzles in the game building up to this one that we should know about in order to have a sense of how we’re supposed to approach it?

    I'm not very smart, but could you find it in your heart to post the question for me anyway?
  11. Determining an ellipse given a foci

    I think gavinksong is right. I sat down and did the math for the case where you're given that one focus is at (0, 0), and two points on the ellipse are at (x, 1) and (-x, 1) so the second focus must be somewhere on the Y-axis (since that math is reasonably tractable). As you move the second focus around and calculate the point at the top and/or bottom of the resulting ellipse, there are no repeats. Meaning that there is no point on the Y-axis where you could put a third point and have any ambiguity about the ellipse. My original argument was thinking in terms of a circle around the third point that contacts the curve defined by the first two points at multiple sites, but that doesn't happen if the third point is on the curve (at least in this case) -- if you think in terms of the picture from my previous post and gradually changing the value of R so you have two potential locations for the second focus along the curve which move outward along the curve as R increases, then apparently the circle around the third point grows fast enough that it "outruns" the point moving along the curve and doesn't intersect it again. If you were to move the third point farther away from the curve (when I did the math for the case above, I was covering cases where the third point sitting on the curve of potential focus locations), then the further away it gets from the curve the more distance along the curve will be covered as a circle around the third point increases in radius and the less likely you are to see any second intersection. So since it doesn't happen for points on the Y-axis, it seems unlikely to happen anywhere. But I can't definitively prove that three points will be always be enough, especially for cases where the first two given points are different distances from (0, 0) and the curve of potential spots for the second focus is not linear. (Well, there's the trivial case where all of the points including (0, 0) are co-linear so the "ellipse" is a line segment, but I'm not counting that case.)
  12. Determining an ellipse given a foci

    I don't think it's possible with three points on the ellipse even if you know that one focus is at (0, 0).
  13. Westworld Mafia

    That was pretty unusual for a mafia... it's rare that at endgame the players can openly conspire to secure a win, and even rarer that everyone actually gets their act together and actually cooperates with such a plan *cough sparrowhawk cough*. Most of the time there are maybe one or two pretty cleared players but the rest comes down to how you read everyone else's play, and such open planning can usually be countered. But life is tough for baddies when the RID kill is known to be gone. Thanks for hosting, araver.
  14. Westworld Mafia

    Correction: Nana needs to not attempt to save anyone. Since she can't save self, if she attempts to save someone else and it fails then she would end up going into a 2 vs 1 or 1 vs 1 scenario without a vote, and that could make the goodies lose. I doubt it matters though because I'm pretty sure Nana or Bonanova is the baddie.
  15. Westworld Mafia

    How not to mafia How to mafia If it goes into a final day phase with 1 goodie vs 1 baddie (without a vote manip) so they both vote each other and die in the lynch does that count as a tie? Other than that, anyone see problems? Is everyone OK with that plan and please confirm if you send those actions? Mine is sent.
  16. Westworld Mafia

    @bonanovaYour block can come in handy after all... you get to prove your claim by blocking me tonight or else end up full of lead.
  17. Westworld Mafia

    Considering that the only role with a color in its Role Description is the Man in Black, you might want to try another hint.
  18. Westworld Mafia

    1. Gavinksong - voting for Flamebirde2. Flamebirde - voting for bonanova3. Nana77 - voting for plasmid4. plasmid - voting for phil5. phil18826. bonanova In response to Nana's vote, I will say that I'm a prime example of a goodie. And since there are fairly many new or newish players, I'll say that by "a prime example of a goodie" I mean "if you look at the OP and notice that the roles are numbered, I'm a prime numbered goodie role." And in case there's any ambiguity about the primeness of 1, it's not prime. So far I'm reading Flamebirde as goodie and Gavinksong as neutral, and I'll give one more lesson for him: If you have a question that only the host could answer and you'd like it answered, post it in red so it's clear that it's a question for the host and easy to spot, like thusly: Is a simultaneous goodie and indy win possible? If so, how? Specifically, what happens if the indy RID kills his last target and the goodies kill the indy simultaneously? Voting phil to encourage him to post. Nana and I have given demonstrations of how to respond to a vote on you. Your turn.
  19. Westworld Mafia

    Host: araver 1. Gavinksong 2. Flamebirde 3. Nana77 4. plasmid - voting for Nana 5. phil1882 6. bonanova 7. aura - Killed N1 by Dr. Robert Ford This sure will be a quiet game with no Aura around and a lot of relatively new players. All right Nana, give the folks a lesson on how to give a defense when there's an indy RID kill in the game.
  20. Westworld Mafia

    Wut? The baddie wouldn't care whether or not anyone else claims to be blocked. There's both the goodie block and the indy trap that acts like a block and even Dolores' ODTG block, so anyone could claim that they got blocked regardless of whether anyone else does. Unless you end up with four people claiming to be blocked.
  21. Westworld Mafia

    There sure are a lot of "ifs" in there. It could be affected not only by the saves -- the full time save, the trap, and Dolores' ODTG save -- there's Dolores' lynch save which will ensure that she doesn't get lynched and probably extend things, and both a full time goodie block and Dolores' ODTG block and an indy trap that could stop the baddie from vote redirecting (though indy is likely to act on self), and Dolores' ODTG extra vote that could essentially nullify the baddie's vote removal. Keep your ideas in mind, but stay flexible. Are we doing things with group NK mechanics (even though there's not really a baddie group) with regard to spying; in other words, does Dr. Ford appear on follow spy reports as acting on the NK victim? Also FYI FWIW the goodie block probably shouldn't act N1. It can't stop the baddie kill and is lower on the order of actions than the indy's trap so it can't stop the trap (right?) but it could mess up a goodie's action if you block a spy. The only real use of the block is to stop the baddie from being able to remove a vote.
  22. The picture in the spoiler above is an explanation with formulas that wouldn't look very nice if I tried to just write them out in text.
  23. Westworld Mafia Signups

    Signups: 1. Gavinksong2. Flamebirde3. Nana774. plasmid5.
  24. I'm not a Trump supporter

    We're being intruded by migrants secluded Who stowaway past our frontier They're costing us green and will linger unseen Unless I should get into gear Their nature I'll dredge as I perch on a ledge And twisting the truth's my endeavor Exposed to the nation, and next: deportation They thought they'd endure thus forever? I promise the answer has nothing to do with politics
  25. I'm not a Trump supporter

    Nah, I was going for a hint at being purchased goods. You can't just go out and pick a can of peaches off the tree, after all.