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The Liar, the Truthteller, and the Trickster


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5 replies to this topic

#1 Kikacat123

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Posted 07 March 2013 - 01:53 AM

You come across three people at a fork in the road. One path leads to a fiery dragon, and the other leads to your destination. You know that one of the three people always tells the truth, another always lies, and the third alternates between lying and truthtelling. ( for example truth, lie, truth, lie, etc.) You only have time to ask one person two questions. What should they be to ensure that you find the right road?
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"Silflay hraka, u embleer Rah!" - Thlayli, Watership Down

#2 ThunderCloud

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Posted 10 March 2013 - 06:46 PM

Depending on the behavior of the "trickster",

Spoiler for this can be done with just one question..


Edited by ThunderCloud, 10 March 2013 - 06:46 PM.

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#3 bonanova

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Posted 11 March 2013 - 07:10 AM

Depending on the behavior of the "trickster",

Spoiler for this can be done with just one question..

 

Spoiler for This is a solution because


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#4 ThunderCloud

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Posted 11 March 2013 - 07:35 AM

Depending on the behavior of the "alternator"

Spoiler for this can be done with just one question..

 


Depending on the behavior of the "trickster",

Spoiler for this can be done with just one question..

 

Spoiler for This is a solution because

The question can certainly be sharpened. But be careful: in your phrasing, you lost one of my own "sharpenings":

Spoiler for
Also, note that the questions were not constrained by the OP to the yes-no variety, so I think my original answer makes sense so far as it goes. :)


Edited by ThunderCloud, 11 March 2013 - 07:42 AM.

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#5 bonanova

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Posted 11 March 2013 - 08:24 AM

TC, Thanks.

I did not fully appreciate the "timing" aspect.

 

Spoiler for I think you can


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The greatest challenge to any thinker is stating the problem in a way that will allow a solution.
- Bertrand Russell

#6 Kikacat123

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Posted 21 March 2013 - 02:56 AM

To Thundercloud: Nice job! The " two questions" was to try to confuse people, but you figured out how to obtain the correct road with just one question. Great problem solving skills. That dragon will just have to go without its meal!
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