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Exercise 4.7. You are given n stones (assume that n is a power of 2) each having a distinct weight. You are also given a two-pan balance scale (no weights are given). For example, given two stones, you can use the scale to compare which one is lighter by placing the tuo stones on the two different pans. The goal is the find the heaviest and the lightest stone by using as few weighings as possible. Give a divide and conquer strategy that uses only 12 2 weighings. (Hint: See Worked Exercise 4.2)