One hundred and one coins were produced. Something went wrong after minting the first 51 coins, so the last 50 are defective.
A defective coin weighs 1 gram less than a true coin. All true coins have the same integer weight, and all false coins have the same integer weight.
Suppose you pick a random coin out of these 101 coins. You have a set of scales that can show the difference in grams between the two pans.
How can you perform 1 weighing to determine whether the chosen coin is real or fake?
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