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3. (U & G-required) [40 points] (a) [15 points] Write pseudocode for a recursive algorithm for computing 2*, where n is any nonnegative integer, based

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3. (U & G-required) [40 points] (a) [15 points] Write pseudocode for a recursive algorithm for computing 2*, where n is any nonnegative integer, based on the formula 2n = 2n-1 + 2n-1. (b) [25 points] Write a recurrence for the number of additions performed by this algorithm and solve it using the recursion-tree method

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