100 brown-eyed and 100 blue-eyed perfect logicians live on an island, but none knows the color of their own eyes. There are no mirrors on the island, and communicating is forbidden. If any of them works out the color of their eyes, they must leave the island in the night.
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If any form of communication forbidden? Like – a 3rd person is able to recognize that 2 people have different eye colors and can separate them into groups.
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Yes, that's forbidden.
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