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Pickett

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Everything posted by Pickett

  1. Simple classic puzzle on profit

    I've not heard this one...but I'll take a stab:
  2. Who can go the lowest?

    I guess I took this question to be something different. Rather than just "what's the smallest positive value you can think of?" for which I would go with something like: 1-(3↑↑↑↑...↑↑3) or in other words: 1 over Graham's number (or simply "G")...but why stop there? why not go with 1/G↑↑↑↑↑↑↑...↑↑↑↑↑↑↑↑G That interpretation of the OP isn't as interesting or fun because it just gets ridiculous... The way I took the original question was pick the smallest positive INTEGER that no one else picks...what is your strategy when up against 9 others doing the same (all allowed to pick however many tokens as they want)? So, if that's the case, it becomes a much more challenging problem. Obviously it doesn't make sense to purchase more than 9 tokens, as with 10 the BEST you could hope for is breaking even...I would probably purchase the following numbers (and my rationale next to them): 1 - I'm assuming I will lose this $10, but maybe everyone else will think someone else picks this and therefore no one else does! 2 - Might as well try this one as well, but again, most likely will lose this $10 as well... 7...ish - Some relatively low number that hopefully no one else picks...I would assume I'd lose this. 10 - Let's assume everyone buys their 9 tokens and picks 1-9...10 would be the first number that no one would pick... 16...ish - Again, some pretty low number, that's pretty much just a shot in the dark and you hope no one else picks it. 42 - If by some crazy chance everyone buys 9 tokens and all are duplicated, this is the lowest possible number that wouldn't be duplicated...plus isn't it really the answer to everything? At this point, I've already bet $60 in hopes of winning $100...and really, the odds are still not in my favor...so to me, it's not worth the risk and so my ultimate strategy would be to not play and "break even" :c)
  3. Persistence

  4. Month Codes

  5. Submitted for your perusal

    This is either sheer madness or complete brilliance. It's a lot to read, and I've only briefly skimmed it because i don't know if I have that much time to dedicate to it, but I've definitely noticed a number things out of this that will start to relate each of the paragraphs and "poems" together as well as a number of random pieces of information. A few examples I found: It ends with an Irish Blessing (although it is missing the final piece: "May God hold you in the palm of His hand.") There is an entire section containing pieces of song lyrics (Lou Reed - Walk on the Wild Side, Leonard Cohen - The Future, Simon and Garfunkle - The sound of Silence, Schoolhouse Rock - Conjunction Junction, The Trashmen - Surfin Bird, Gorillaz - Empire Antz, Tom Petty and the Heartbreakers - Runnin' Down the Dream, etc) There are repeated phrases or words that seem too coincidental across the paragraphs ("Four Seconds", "Military Bases", "Capital G God", etc) So, again, I'm not going to have time to spend digging into this, and i'm still not completely sure if it's actually worthwhile, but it definitely piques my interest and will be checking in on this one...
  6. Thinking of a Number

    Mind telling us (or PMing me) the answer? as it has been 6 months with no correct answers and the participation seems to have dwindled...
  7. Crystal Problem

    Isn't my answer above correct?
  8. Crystal Problem

  9. Chess Knight Problem

  10. Bisecting a triangle

    I'll take a quick stab at it:
  11. Binary lock

    .
  12. Binary lock

  13. Thinking of a Number

    Well then I've got nothing...closest I can think of that even relates to numbers is
  14. Thinking of a Number

    curious as to how obscure these are or even the pronunciation allowed for these. Here are some examples of what I would consider "valid", but probably not what you're looking for:
  15. Thinking of a Number

    Not sure what I was thinking when i wrote that...not even 5 vowels...I'll shut up now ;c)
  16. Thinking of a Number

    not it, I know...but it was close
  17. Dots, not hats...

    So bonanova's most recent puzzle, Another hat problem, reminds me of one of my favorite riddles that my dad always told me. It's very similar, but slightly different, and I don't think I've posted it before, so here it goes (he was a much better story teller than I, so pardon my narrative): A king put out a decree saying he will give his entire kingdom to the person who could solve all of his riddles, thereby proving to be the smartest person in the land. Obviously many showed up, but after all of the trials, only 3 people remained. The king told them to get some rest for tomorrow they would face their final challenge. Only one person would remain after it, the other two would be killed. That threat didn't dissuade them, and they all went to bed. When they woke up, they found themselves all in a room together. Any and all reflective surfaces were covered, and there were armed guards surrounding them. Before any of them could speak, the king told them their challenge: "While you were sleeping, we painted either a red dot or a blue dot on each of your foreheads. You are not allowed to speak or communicate with each other in any way shape or form. Anyone who does so will be killed immediately. Now, raise your hand if you see a blue dot on someone else's head." The three people looked at each other and all three raised their hands. "Good. Keep your hands raised. You may only lower your hand when you can tell me what color dot is on your own forehead. If you lower your hand and do not answer, you will be killed. if you answer incorrectly, you will be killed. If you answer correctly, you will gain all of my wealth, and the other two will be killed. Good luck." The three looked at each other...what seemed like hours went by with no one answering. You could see they were all straining themselves, trying to figure out how they could know what color dot they had. Their arms started getting tired... Finally, one of the men got a big smirk on his face. He did some final double checking of his logic and slowly lowered his hand. "The spot on my head is ... " Given that the man successfully answered the question, and it clearly wasn't a "guess", what color dot was on his head, and how did he know?
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