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Assume that we have 13 coins, it is known that one of the coins is different from the others (either lighter or heavier, but we

Assume that we have 13 coins, it is known that one of the coins is different from the others (either lighter or heavier, but we do not know), can you design an algorithm to identify this special coin (NO need to tell if it is heavier or lighter)? How many weightings in the worst case you use?

[More marks will be given to solutions with fewer weightings.]

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