Posers and Puzzles
23 Jan 07
Originally posted by mtthwAbsolutely correct. Well done! 😀
I can do it with 10. Treat each prisoner like a binary digit. For the nth bottle, give a tiny amount to the prisoners who make up the binary representation of n.
E.g. 500 = 111110100
So give a tiny bit to prisoners 1, 2, 3, 4, 5 and 7.
Once you know who's died, they will give the binary number of the poisoned bottle. You need 10 because 2^10 = 1024.
Any good?
Originally posted by BigDoggProblemI agree; wine and binary don't mix, but then these things are all hypothetical anyway.
Nice puzzle. One minor quibble: It might be difficult to serve 1000 rounds of wine to ten prisoners in a mere 4 hours (especially since the binary count must be maintained without a single mistake!).
When, exempli gratia, does a bloke find his having to transport a wolf, a goat and a cabbage across a river, &c., &c....?
🙂
Originally posted by MathurineI was referrring more to the time it might take to swig 1000 wine glasses, but you could get around this problem by mixing the drinks in advance. Then, each prisoner is presented with their own tumbler (keg?) with a unique combination, and you find out with one sip each which bottle it is. In fact, you could remove the times altogether, and just stipulate a poison that kills instantly.
I agree; wine and binary don't mix, but then these things are all hypothetical anyway.
When, exempli gratia, does a bloke find his having to transport a wolf, a goat and a cabbage across a river, &c., &c....?
🙂
Originally posted by BigDoggProblemI think that would reduce the answer to 1 prisoner, because he could then take a teeny tiny sip from each bottle until he got to the poisoned one.
I was referrring more to the time it might take to swig 1000 wine glasses, but you could get around this problem by mixing the drinks in advance. Then, each prisoner is presented with their own tumbler (keg?) with a unique combination, and you find out with one sip each which bottle it is. In fact, you could remove the times altogether, and just stipulate a poison that kills instantly.
Originally posted by PBE6No, because you might have to wait 20 hours to find out if each bottle is poisoned. You've only got 24 hours, so you can't wait for that.
I think that would reduce the answer to 1 prisoner, because he could then take a teeny tiny sip from each bottle until he got to the poisoned one.