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An explorer lands on an island run by a cult. In this cult, if you know your own eye color, you must kill yourself. There are 500 blue-eyed people on the island and 500 brown-eyed people, but obviously they don't know this. Every night there is a meeting, at the end of which, if you know your eye color you must kill yourself. Before leaving, the explorer attends one of these meetings, and says where everyone can hear "It's so nice to see another blue-eyed person" then escapes. What happens and when?
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