Island of the Blue-Eyed People
Mar. 10th, 2006 08:37 amOk, this one is going to take a little bit of thought to understand, believe me it DOES make sense. you have to really think about what's going on to figure out what would happen... I may give you a little bit more time on this one as it is a bit harder than the other ones.
remember N is any number
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There is an isolated island in the middle of the sea... On this island, people who have blue eyes kill themselves.
Because of this, no one talks about eye color, and there are no reflective surfaces on the island.
The island inhabitants are inherently logical geniuses and trust everything everyone says.
When someone decides to kill him/herself, he sleeps on it first, and then commits suicide the next morning.
The meet every morning after the death time and look at each other.
Suppose an evil demon arrives on the island and says, "At least one person on this island has blue eyes".
What happens if there are N blue-eyed people on the island?
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rember that when they all meet in the morning, they all look around and see the eye color of all the other villagers, so every villager knows the color eyes of every one else. even if they don't talk about it.
remember N is any number
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There is an isolated island in the middle of the sea... On this island, people who have blue eyes kill themselves.
Because of this, no one talks about eye color, and there are no reflective surfaces on the island.
The island inhabitants are inherently logical geniuses and trust everything everyone says.
When someone decides to kill him/herself, he sleeps on it first, and then commits suicide the next morning.
The meet every morning after the death time and look at each other.
Suppose an evil demon arrives on the island and says, "At least one person on this island has blue eyes".
What happens if there are N blue-eyed people on the island?
----------------------------------------------------------------------------------
rember that when they all meet in the morning, they all look around and see the eye color of all the other villagers, so every villager knows the color eyes of every one else. even if they don't talk about it.