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A king wants an advisor and comes to ask the 3 wisest sages. He blindfolds them and put the hats on their head. Afterward, the king takes off their blindfolds. He tells them that their hat is either blue or white. He tells them that whoever can deduce the color of their hat will be his next advisor. Also, he tells them that at least one of the sages will be wearing a blue hat. The sages can all see each other's hats except, of course, their own. Sage A sees that the other 2 are wearing blue hats. For hours no one spoke, then Sage A stands up and tells the king the color of his hat. What color is it and how does he know?
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