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Old 06-16-2010, 07:56 PM   #31
obs20
Wizard
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Here it goes:

Spoiler:
On the night of the dinner they are told for the first time that there are green and blue marks. So that means that there is at least one of each color. For argument's sake let's say there was only one person with a green mark. Then that person would look around and see only blue marks and say aha I must have a green mark. The next morning he can leave.
Now if there were 2 people with green marks they each would see that on the first day neither leaves. Then they would assume that that green marked person saw at least one other person with a green mark and deduce that it must be them and leave the second day.
Now remember everybody here is logical then if there were 3 green marks they would wait 2 nights and see that each saw two others with green marks and leave the 3rd day.
On the 45th day all the green marked people will leave. On the 46 day all the blue marked people will leave
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