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I happen to be the King and each year I receive 10 gold bars from each of 10 Barons in my Kingdom. My spies inform me that this year, one of the Barons will try to save money by shaving 1 gram from each of his bars. A legitimate bar weighs 100 grams, but there's no way to tell the difference between a legitimate bar and a shaved bar except by weighing. The Puzzle: I have a crusty old coin-operated "speak your weight" machine, and, being a bit cheap, I only want to use it once. How can I tell which Baron has been cheating me with only one weighing?
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Internal Developer

Interviewed at Braintree

3.7★
Sep 19, 2011

I happen to be the King and each year I receive 10 gold bars from each of 10 Barons in my Kingdom. My spies inform me that this year, one of the Barons will try to save money by shaving 1 gram from each of his bars. A legitimate bar weighs 100 grams, but there's no way to tell the difference between a legitimate bar and a shaved bar except by weighing. The Puzzle: I have a crusty old coin-operated "speak your weight" machine, and, being a bit cheap, I only want to use it once. How can I tell which Baron has been cheating me with only one weighing?

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