BRAINTEASER NUMBER TWO.

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Mrlucky77 wrote on 2010-10-21 03:06

I couldn't make a new one cause my mom was mad at me a while ago. ANYWAYS~ :2thumb:

Here is MY answer to the previous brain teaser, the Switchers (with work and diagram)

[Image: http://i738.photobucket.com/albums/xx23/hellokmj/truthteller.jpg?t=1287629991]

The winner of last time's brain teaser is...... [Note, although some people got the correct answer, they don't elaborate on it and therefore do not get the prize. [SIZE="7"]I expect a full answer[/SIZE].]

Intex is the winner, for the following answer which was the closest to the expectations and the answer.

In this situation I will ask this question.
Will you respond to the next question with the same honesty? y/n.

There are 3 possible people I can ask:
-The Truth Teller himself
-Switcher who starts as TRUTH
-Switcher who starts as FALSE
Here are all 3 scenarios:

Start by asking the question.

If the person answers no, then he is a switcher telling the truth.
Since your second question will switch him, he is now lying.
Ask him "Who is a switcher?"
If he points to one of the four switchers he would be telling the truth.
Thus he cannot point to anyone but the truth teller.

If the person answers yes, then he is either the Truth Teller or a switcher that is lying.
However, if it is a switcher that is lying he will switch to telling the truth.
This way it is either a switcher telling the truth or the Truth Teller telling the truth.
Any question will net you the true answer.
Ask him "Who is the Truth Teller?"
The man will either point to himself or point out the real Truth Teller.

[SIZE="6"]Here is the question for the brainteaser of this thread.[/SIZE]

There are one hundred PERFECT LOGICIANS. The gods of logician-ness is holding a test. They must find if they have a marked forehead or do not. They all enter a room, sitting in a circle. The lights turn on then off every five minutes, giving time for each person to look around. As soon as one person realizes that they have a marked forehead, they must leave the room.

There are THREE RULES that the gods have told before they have entered the room.

1. At least one person will have their forehead marked.
2. As soon as you realize you are marked, you MUST leave the room.
3. Everyone in the room is a perfect logician. They cannot make mistakes.

However, as a prank, the gods have actually marked EVERY logician in the room.

YOUR ASSIGNMENT TO DO...

What happens? (for 500 gold), and WHY? (Bonus, 1000 gold)

Edit:

Quote from Intex;189828:
For this teaser:
1. How many logicians are there in the room.
2. Do the logicians have the same speed of thought process, since one person leaving can affect others.

1. I Said one hundred. Please read over it. x.x
2. Yes, they are all 'Perfect logicians', meaning the have no mistakes in their assumptions, but must have enough evidence to support their assumption.

Quote from Whyrainfalls;189846:
For this teaser:

Is communication between logicians allowed?

No. The Gods of logician-ness muted them.

For for insight on the question: "Say what happens" and "WHY?" means:

Lets say you are a spectator of this event, and you are 'recording' the results of what has happened in the room. For example: "Some guy leaves the second time the lights go off."

However, here is a hint. NOT A LOT OF EVENTS HAPPEN. You only have to record when a logician leaves, or anything else interesting that happened.

For the bonus question: "WHY?", you must explain the reasoning behind your 'recordings', and give your work. (as in show the step-by-step or full explanation of it.)
Intex wrote on 2010-10-21 03:25

You go up to the people and ask any one of them "How many people are Switchers?" (Or any other question that you know the correct answer to.)
If it's the truth, ask him "Which are Switchers?"

But if he answers truthfully that means he is either the Truth Teller or a Switcher telling a lie now.
Then you ask him "Who is the Truth Teller?" and he can either point to the right person or the wrong person.
Mrlucky77 wrote on 2010-10-21 03:27

Quote from Intex;189793:
But if he answers truthfully that means he is either the Truth Teller or a Switcher telling a lie now.
Then you ask him "Who is the Truth Teller?" and he can either point to the right person or the wrong person.

>:[

Fine..

I forgot what your answer was anyways. I read over it again.
Intex wrote on 2010-10-21 03:33

Quote from Mrlucky77;189800:
>:[

Fine..

I forgot what your answer was anyways. I read over it again.

There's no point if I'm the winner though (I don't need gold :|).
If someone else has a similar answer you should put them instead.
Lolicon wrote on 2010-10-21 03:36

Someone can piss on the ground, and look at their reflection. Then everyone starts to look, and soon after, theres no one in the room.

I win 8D

Unless it was a carpet floor...
Kueh wrote on 2010-10-21 03:37

I'm pretty sure my answer for the previous riddle would work. If not, could you explain why?
Intex wrote on 2010-10-21 03:58

For this teaser:
1. How many logicians are there in the room.
2. Do the logicians have the same speed of thought process, since one person leaving can affect others.
Kueh wrote on 2010-10-21 04:18

For this teaser:

Is communication between logicians allowed?
Intex wrote on 2010-10-21 04:19

Quote from Whyrainfalls;189846:
For this teaser:

Is communication between logicians allowed?

That would break it so easily, so probably not.
"Who has a mark on their head?"
"You do."
Kueh wrote on 2010-10-21 04:22

I didn't mean that. I meant something along the lines of "How many marked heads can you count?"

[Edit: Actually, I'm not even sure what this brainteaser is even asking. Is it the case that each person's head is marked? Then I don't get that our "assignment to do" is "What happens and why"]
Athde wrote on 2010-10-21 04:24

For last riddle... Couldnt you just ask a simple question to each of them two times in a row? Then whoevers answer was the same both times would be the TT and the others would be w/e you call them?

Edit: For this riddle what kind of room are they in? And are they allowed to bring in any items? Also is the mark removeable (like ink) or permanent(like a tatoo)
Kueh wrote on 2010-10-21 04:26

No. You only get two questions, not two for every person. Two total.
Athde wrote on 2010-10-21 04:26

Quote from Whyrainfalls;189856:
No. You only get two questions, not two for every person. Two total.

Ah nm then.
Kueh wrote on 2010-10-21 04:34

This was my solution to the last riddle. Since I only needed one question, I'm convinced there's a high likelihood that I'm wrong, but I can't see how.

[Image: http://i57.photobucket.com/albums/g206/whyrainfalls/switchersolution.png]

Someone explain how I'm wrong please.
Mrlucky77 wrote on 2010-10-23 17:33

Quote from Intex;189828:
For this teaser:
1. How many logicians are there in the room.
2. Do the logicians have the same speed of thought process, since one person leaving can affect others.

1. I Said one hundred. Please read over it. x.x
2. Yes, they are all 'Perfect logicians', meaning the have no mistakes in their assumptions, but must have enough evidence to support their assumption.

Quote from Whyrainfalls;189846:
For this teaser:

Is communication between logicians allowed?

No. The Gods of logician-ness muted them.

Quote from Whyrainfalls;189865:
This was my solution to the last riddle. Since I only needed one question, I'm convinced there's a high likelihood that I'm wrong, but I can't see how.

[Image: http://i57.photobucket.com/albums/g206/whyrainfalls/switchersolution.png]

Someone explain how I'm wrong please.

Well, you said in your 2nd reply PM that you only ask one question, and since I didn't really understand what your solution is anyways... (I mean, what the hell do you ask anyways? You have to have an answer that always gives the answer.) Yeah. Besides, you only ask one question, where you MUST ask two to always get the right answer.

Also, for "Say what happens" and "WHY?" means:

You are a spectator of this event, and you are 'recording' the results of what has happened in the room. For example: "Some guy leaves the second time the lights go off."

However, here is a hint. NOT A LOT OF EVENTS HAPPEN. You only have to record when a logician leaves, or anything else interesting that happened.

For the bonus question: "WHY?", you must explain the reasoning behind your 'recordings', and give your work. (as in show the step-by-step or full explanation of it.)

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