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8 replies to this topic

#1 bonanova

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Posted 01 March 2008 - 10:13 AM

In the land of Knights, Knaves and Liars [KKL], Knights can only tell the truth,
Knaves alternately lie and tell the truth [TLT or LTL], and Liars can only lie.
Except when they are stricken with the Strange Averitas Flu Virus [SAFV]
and become sick. Strangely, as the name implies, when stricken with SAFV,
natives of every position behave differently: Knights behave as Knaves;
Knaves behave as Liars; and Liars behave as Knights.

Again, you are sent to KKL with a limited supply of the costly SAFV vaccine serum. [edit for accuracy et.seq.]
To be certain none of the precious medicine is wasted, you must determine
which of the KKL natives are truly sick, and administer it only to them.

You interview a group of 6 KKL'ers, conveniently named A, B, C, D, E and F.
They are eager, if somewhat cryptic, in their attempts to advise you.
Their eighteen statements, in valid time sequence, follow:

A1. Anyone who, regardless of his state of health, can claim "I am sick" must be a Liar.
A2. B is not a sick Liar.
A3. I cannot claim to be a Liar who can tell the truth.

B1. I am not sick; but take that with a grain of salt, because I am also a Liar.
B2. D is a healthy Liar.
B3. I am a Knight.

C1. Everyone, on becoming sick, must change his story about not being a Knight
C1. Everyone, on becoming sick, changes with regard to his ability to claim he is not a Knight. [edit for accuracy]
C2. Everyone, on becoming sick, must change his story about not being a Liar.
C3. Don't worry about me changing my story, though, I already need a shot.

D1. If a person who needs a shot claims that he is not a Liar, then he is indeed a Knight.
D2. It is only true of those persons who need a shot that the claim "I am not a Knave"
may be made by a person of any position.
D3. You can deduce that I, in fact, am not a Knave.

E1. Anyone who, regardless of his state of health, can claim "I am a Knight who can lie" must be a Knave.
E2. Collectively, the six of us are making equal numbers of true and false statements.
E3. Only one of us cannot claim not to be a Knave.

F1. Anyone who, regardless of his state of health, can claim to be a Knight must be a Knight.
F2. I am a Knave, and I really need a shot.
F3. There are at least two of us who have the same position and state of health.

To whom do you give shots?
Identify the Knights and Liars.

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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 Lost in space

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Posted 06 March 2008 - 02:12 PM

Well on ratios I sholuld solve this in 3 min
But I'll ahve to digest this tonight - here is my three min input and $0.02 worth
Vaccine:
any preparation used as a preventive inoculation to confer immunity against a specific disease, usually employing an innocuous form of the disease agent, as killed or weakened bacteria or viruses, to stimulate antibody production.

So should the vaccine go to the un infected?
Have you built a trap?
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#3 bonanova

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Posted 06 March 2008 - 05:37 PM

Well on ratios I sholuld solve this in 3 min
But I'll ahve to digest this tonight - here is my three min input and $0.02 worth
Vaccine:
any preparation used as a preventive inoculation to confer immunity against a specific disease, usually employing an innocuous form of the disease agent, as killed or weakened bacteria or viruses, to stimulate antibody production.

So should the vaccine go to the un infected?
Have you built a trap?

No, it's not intended as a trap. Good catch - someone else pointed this out, also. :huh:
If you like, figure out the well people and give it to them. Same problem.
Or we could re-cast this a slow-acting but potentially lethal snake bites, and you have the costly serum that counteracts the poison.

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

#4 Polynym

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Posted 11 March 2008 - 11:53 PM

Not 100% on this but came up with the same answer twice
Spoiler for my answer

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#5 bonanova

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Posted 12 March 2008 - 11:43 AM

Polynym has it. :)
First post ... welcome to the boards!
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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 Klovia

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Posted 07 September 2008 - 12:37 AM

My boyfriend and I solved this together, it was quite the interesting riddle.

However, we had a problem with the puzzle.

Spoiler for Our problem

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#7 ingenious

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Posted 13 November 2008 - 03:53 PM

based off of polynyms diagnosis of each person. i would give the shots to B,C,E,F that way they would all never lie anymore. furthermore, id get as much serum as possible and start making everyone in kkl tell the truth.
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#8 Leonerdo

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Posted 23 September 2009 - 02:13 AM

Spoiler for

Also, hi. I'm new to the forums. First Post. Woot. :D
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#9 peanut

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Posted 26 September 2010 - 11:53 PM

I like it, twisted and funny(or maybe I'm twisted because I thought it was funny?);what more could anyone want from a puzzle. :thumbsup:
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