bonanova
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Everything posted by bonanova
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TwoaDay anticipated what I said in his [her?] answer #4, which I didn't "get" until I thought my answer through. We share the glory on this one...
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Perhaps you can explain what you want us to do for this question - it's a bit cryptic. Or is that part of the puzzle? Do you mean simply put a single word where you have the underlines? Thanks.
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Hats on a death row!! One of my favorites puzzles!
bonanova replied to roolstar's question in New Logic/Math Puzzles
Probably not - you're only specifying parity of one of the types, not the sequence itself. If you're interested, there's a simple compression technique called run-length coding; starting with one of the values, you list the number of consecutive values in the string. For example, [if red and black became 0 and 1] you might have 0 0 0 1 1 0 1 1 1 1 0 0 0 1 0 0 1 1 0 1 0 0 0 0 1 1 0 1 1 1 0 0. That would reduce to 3 2 1 4 3 1 2 2 1 1 4 2 1 3 2 reducing 32 values to 15. Run length coding can be very efficient if the "runs" are long [tens or hundreds] but inefficient if there are many runs of length 1 and 2. Data compression [and encryption] techniques are extremely interesting fields of study. Check out Wikipedia here and here or do some Google searches on them. - bn -
That would make statements 1,2,3,6,7,8 = F T F T F F so that statements 4,5 would be T T. Thus C=D^=E. Chuck and Dave would be the same.
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I count sixteen, actually.
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In the land of Knights, Knaves and Liars [KKL] Knights always tell the truth, Knaves alternate telling the truth and lying: e.g. T F T F or F T F T and Liars, of course, always lie. Al and Bob are Knaves. They make the following statements. You don't know who made which statement, but you know the time sequence is correct. Edit: Al and Bob each made four statements. 1. Chuck is a liar. 2. Dave is a Knave. 3. Elliot is a Knight. 4. Chuck and Dave are the same type. 5. Dave and Elliot are of different types. 6. Chuck is a Knight. 7. Elliot is a Knave. 8. Dave is a liar. Identify Chuck, Dave and Elliot as a Knight, Knave or Liar. They might all be of different types, but they needn't be.
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OK, but where does the extra face come from? It's not just area, it's also detail and shape.
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I'm curious ... any of you programmers ever use APL? It's interpretive, very useful, and very ancient.
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Hate to spoil this so quickly, but I just made a drawing, with switches 1-10 and bulbs A-J All seriousness aside, I'm working on it.
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Easy big fella ... that's all of us yer talkin' 'bout ...
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Anyone care to explain this?
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True. But in the spirit of the riddle, equal likelihood is generally assumed. In this particular riddle, that's not stated. However, the "village" in the OP might have its own statistics. Maybe it's near Bikini, and there are radiation effects. Your point is well taken.
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Wow. All I can say is you're waaaaaaaaaaay out of the box. Bravo.
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The solution that doesn't light at both ends requires uniform burning speed [or that the two candles are identical] I think. But that's a reasonable assumption.
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Well they don't tell us how many are in the village, so it's tough to take that into account. The series is taken to infinity to compute odds. It doesn't imply there are an infinity of families or children. We're also not certain about anything: perhaps every family had a boy as a first child, and there are no girls at all. It's possible. The more I think about this problem, the more it simply comes down to the given condition that the two sexes are equally likely. Nothing about deciding to quit or have more children changes that. Certainly, I don't mean to suggest your math is wrong; I am just adding my $0.02.
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Down at Morty's last night, Alex and the boys got into it again. Alex was busy setting them up ... You all know how to solve the 3 light bulb problem, I'm sure of that. And a while ago I asked ya about doing 4, right? They all nodded in agreement. OK then, said Alex, try this one. Now you've got five switches that control five light bulbs. You can't see the bulbs - they're in a closed room. You can do anything you want with the switches, say they're marked 1, 2, 3, 4 and 5, and then you can go into the room and inspect the bulbs - they'll be marked A, B, C, D and E. A pint says you can't match the numbers and letters correctly. Since Jamie bet on the problem that had 4 bulbs, he figured he should be the guinea pig on this one, too. But before he could speak, and while Davey was busy stroking his beard, Ian asked for the bet. Did Ian get his pint?
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