~The BrAiN tEaSeR Thread~

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Yurka said:
1, only the last guy in the line
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Nope.

Also remember, it is not only the amount you're guessing. You need to have the method.
 
Spider-Fan930 said:
Riddle #35

Ten gnomes are about to be executed. Although they don't like the idea, they are each selfless and want to do anything (even by sacrificing themselves) in order to help their fellow gnomes. They are told what will happen to them: They will each be lined up single file, so that they are each facing the gnome in front of them. Each of them will be given a red or a white hat on their head, and from the back of the line (the gnome who can see everyone else) they will ask him to state his hat color, 'red' or 'white.' If he can state it corectly (he cannot see his own hat, only those in front of him), he is allowed to live. Knowing what is going to happen to them, they are allowed to deivse a strategy beforehand. How many peolpe can they guarantee to save, and what strategy will ensure this?
(There are NOT five reds and five whites necessarily!)
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they can set up a system where a guess of white would mean two hats in a row where the same. a guess of red meaning they were different.

then the first three gnomes would let the last three pairs (that six gnomes) know if they were the same or different. then knowing if they are the same or different they give the right answer based on the hat in front or the answer before them. one gnome has to guess still but you can save at least 6 and by luck maybe a few more.
 
Danalys said:
they can set up a system where a guess of white would mean two hats in a row where the same. a guess of red meaning they were different.

then the first three gnomes would let the last three pairs (that six gnomes) know if they were the same or different. then knowing if they are the same or different they give the right answer based on the hat in front or the answer before them. one gnome has to guess still but you can save at least 6 and by luck maybe a few more.
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Nope
 
5. The one in back tells the one he is facing the color hat he is wearing. So on and so on????
 
TNC congrats on the thread! It was touch and go there for a while, but it has taken off quite well.
 
neither do I Majik, is there another one?
 
Not right now. Just this one.

Wonder if anyone is going to get the gnome one? :D
 
KALEL114 said:
5. The one in back tells the one he is facing the color hat he is wearing. So on and so on????
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it's kinda like this but not so...

if the one straight behind tells the one straight ahead every time, that mean they would all guess incorrectly the colours of their hat.

however, if like the tenth person shouted out loud the 8th person's colour, then this system would be more useful

10th says 8s outloud but potentially dies
9th says 7s outloud but potentially dies
8 says his hat and lives
7 says his hat colour and lives
6h says 4s outloud but potentially dies
5 says 3s outloud but potentiall dies
4 says his hat colour and lives
3 says his hat colour and lives
now 2 is only able to see 1s hat, says 1's colour and potentially dies
1 says his colour and lives.

so ultimately they can guarantee saving five of themselves.

if 8 and 10, or 9 or 7, or 6 and 4, or 5 and 3 or 1 and 2 are the same by coincidence, they could save more lives

but this way they can guarantee saving at least five people
 
November Rain said:
it's kinda like this but not so...

if the one straight behind tells the one straight ahead every time, that mean they would all guess incorrectly the colours of their hat.

however, if like the tenth person shouted out loud the 8th person's colour, then this system would be more useful

10th says 8s outloud but potentially dies
9th says 7s outloud but potentially dies
8 says his hat and lives
7 says his hat colour and lives
6h says 4s outloud but potentially dies
5 says 3s outloud but potentiall dies
4 says his hat colour and lives
3 says his hat colour and lives
now 2 is only able to see 1s hat, says 1's colour and potentially dies
1 says his colour and lives.

so ultimately they can guarantee saving five of themselves.

if 8 and 10, or 9 or 7, or 6 and 4, or 5 and 3 or 1 and 2 are the same by coincidence, they could save more lives

but this way they can guarantee saving at least five people
Click to expand...

I will give you guys a clue. 5 is not the number.
 
well the answer they wrote wasn't well explained but it I get teh logic behind it.
 
Spider-Fan930 said:
Riddle #35

Ten gnomes are about to be executed. Although they don't like the idea, they are each selfless and want to do anything (even by sacrificing themselves) in order to help their fellow gnomes. They are told what will happen to them: They will each be lined up single file, so that they are each facing the gnome in front of them. Each of them will be given a red or a white hat on their head, and from the back of the line (the gnome who can see everyone else) they will ask him to state his hat color, 'red' or 'white.' If he can state it corectly (he cannot see his own hat, only those in front of him), he is allowed to live. Knowing what is going to happen to them, they are allowed to deivse a strategy beforehand. How many peolpe can they guarantee to save, and what strategy will ensure this?
(There are NOT five reds and five whites necessarily!)
Click to expand...

This is what I would call an eduacted guess but my answer is 7.

Basically, the first person is going to call out what is the majority color of the hats. There will have to be a majority because there are 9 hats he will see. He may surely. The next person takes one from the majority and says the majority number unless the number is now even. If he says white, he may die , but all the others know exactly how many red and whites there were and therefore can figure out what colour hat they had from knowing if the person behind is alive or dead and the colours ahead.

However, if there are still more reds, the combo can only be either 8 reds; 7 reds, 1 white; 6 reds; 2 white; 5 reds, 3 whites (not including what the 9th person is wearing).

Obviously the worse case scenario is the 6 and 2. The person will say red as that is the majority ahead, if he dies then the person ahead knows one of the whites is gone and that he will see only 1 white ahead. Therefore all the others are likely to say red, meaning only one more will die.
 
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