similar 2 saving...

[ssuvi]

There is an island filled with grass and trees and plants. The only inhabitants are 100 lions and 1 sheep.
The lions are special:
1) They are infinitely logical, smart, and completely aware of their surroundings.
2) They can survive by just eating grass (and there is an infinite amount of grass on the island).
3) They prefer of course to eat sheep.
4) Their only food options are grass or sheep.

Now, here's the kicker:

5) If a lion eats a sheep he TURNS into a sheep (and could then be eaten by other lions).
6) A lion would rather eat grass all his life than be eaten by another lion (after he turned into a sheep).

Assumptions:
1) Assume that one lion is closest to the sheep and will get to it before all others. Assume that there is never an issue with who gets to the sheep first. The issue is whether the first lion will get eaten by other lions afterwards or not.
2) The sheep cannot get away from the lion if the lion decides to eat it.
3) Do not assume anything that hasn't been stated above.

So now the question:
Will that one sheep get eaten or not and why?

[psuresh1982]

I think no lion will eat that sheep. Becuase it you eat that sheep then you will become the sheep. If you will become the sheep then someother lion will eat you. So all of them waiting for that stupid lion....

What suvi? Am i correct?

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suresh

[luk_x]

Hey the nearest lion eats the sheep and keeps on eating grass for the rest of it's life.

Reason -
The Lions are are infinitely logical, smart, and completely aware of their surroundings.
So they know that all the other lions are also infinitely logical, smart, and completely aware of their surroundings.

So each lion knows that if he turns into a goat no other lion would eat him, because they too would turn into a goat.

So the lion nearest to the goat eats the goat and he knows that the other lions won't eat him because they are infinitely logical, smart, and completely aware of their surroundings.

So because of their infinitely logical, smart, and completely aware of their surroundings qualities the first lion can do the control chain reaction.

So what do u guys say????

[ssuvi]

i made a mistake by askin this ques..
anyway..let me make it this way..consider small scenarios like one lion one sheep,two lions and a sheep...and so on..use mathematical induction..its just a theoratical question..no logic..don think practically..it wont work.juz a dumb question

[psuresh1982]

Lets take suvi scenario...

First assume there is one lion one sheep. Now the lion surely will eat sheep. Becuase after eating this no lions are there. It will enjoy the life.

Take two lion and a sheep. Now the lion will not eat the sheep. Becuase it we eat the sheep then the count will reduce one lion one sheep. so it goes to the first step and the lion will surely eat the remaining sheep.

Take three lion and a sheep. Now the lion will eat the sheep. Becuase after eating the sheep the count goes goto the second step. In the second step no one eat the sheep.

According to these steps if the lion count is odd number then the sheep will eaten by lion. If the lion count is even then the sheep will safe. So my first post answer is surely correct.

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suresh