Okay, here's my favorite brain teaser. Sorry if an equivalent version has appeared here before. On a remote island somewhere there was an ancient country whose population consisted of 200 people with green eyes and 800 people with blue eyes. The citizens of this country were all happy and lived harmoniously, dutifully obeying the only two laws that governed them: 1: At noon every day, all 1000 citizens must gather in the town square for ten minutes of silent contemplation. If, at the end this period, any citizen knows the color of his own eyes, he must immediately commit ritual suicide. 2. Under no circumstances is any citizen ever to speak of or otherwise make any reference to eye color, his own or anyone else's. Naturally, given the dire nature of the first law, there were no mirrors or other reflective surfaces to be found anywhere on the island, nor any other means for a citizen to discover the color of his eyes accidentally. Life went on peacefully for years, since no ever learned or wanted to learn the color of his eyes. All that ended, however, after the fateful day when a stranger washed up on shore, the only survivor of a doomed pleasure cruise. As he staggered up on to the beach, he looked about him and declared, "whoa, cool - there are dudes with green eyes here, man!" Naturally, the citizens were shocked by this breach of protocol, and threw stones at the stranger, driving him back into the sea, where he was promptly devoured by a hungry shark. Now, since he did not specify which people had green eyes, no one on the island had learned his own eye color, so no one committed suicide the next day. Or the next, or the next after that. This went on for a long time, but on the 800th day after the stranger's arrival, all the green-eyed people committed suicide after the town meeting at noon. The question, of course, is how did they know their eyes were green? Secondarily, why did it take 800 days after the only revelation of new information (which wasn't really new, since everyone on the island already knew that there were people with green eyes on the island)? This isn't too difficult if you've seen this type of problem before, but it is kind of fun to work through the necessary thought processes of these poor doomed simps.