There are n stacks of n identical-looking coins. All of the coins in one of these stacks are counterfeit, while all the coins in the other stacks are genuine. Every genuine coin weighs 10 grams; every fake weighs 11 grams. You have an analytical scale that can determine the exac weight of any number of coins. a. Devise a brute-force algorithm to identify the stack with the fake coins and determine its worst-case efficiency class.

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