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#1 bonanova

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Posted 02 February 2008 - 12:31 PM

In the familiar Land of Knights and Knaves [LKK], Knights could be
always counted on to tell the truth, and Knaves would reliably lie.

That's how it was. But then a careless tourist, infected with the rare
averitas flu virus, visited LKK to solve a puzzle; and some of the inhabitants
were hit. Immediately their behavior was reversed: Sick Knights found
themselves incapable of truth, and infected Knaves could no longer lie!

As it turns out, the AFV vaccine is very costly, and only those verified
to be sick can be given shots. You have been assigned by FEMA to
determine those who truly need shots and, if possible, to sort out
the Knights from the Knaves.

To start things off, a group of six LKK citizens is brought to your office,
and they venture the following information:

A: Exactly three of the others are sick. B is not to be trusted.
B: Exactly three of the others are Knaves. You can trust C.
C: Exactly three of the others are well. D lies through his teeth.
D: Exactly three of the others are lying. E is one of them.
E: Exactly three of the others are Knights. F can be trusted.
F: Unintelligible. [An emergency helicopter drowns out F's voice.]

How many shots do you give, and to whom?
And who are the Knaves?
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The greatest challenge to any thinker is stating the problem in a way that will allow a solution.
- Bertrand Russell

#2 schmod54

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Posted 03 February 2008 - 02:05 PM

Spoiler for solution

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#3 octopuppy

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Posted 03 February 2008 - 07:37 PM

Spoiler for solution


It seems the gauntlet has been thrown down. I shall return! huh huh. ha ha ha. MUHAHA!! MWUHAHAHAHAARGH!!!! (but not for a few days coz I'm off skiing)
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#4 bonanova

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Posted 04 February 2008 - 08:17 AM

Kudos to schmod54 and octopuppy <- don't break a leg .... !.

Perhaps I was too easy with this one ... ;)
There will be others. :)
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The greatest challenge to any thinker is stating the problem in a way that will allow a solution.
- Bertrand Russell




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