a. Design a recursive algorithm for computing 2n for any nonnegative integer n that is based on the formula 2n = 2n−1 + 2n−1.
b. Set up a recurrence relation for the number of additions made by the algorithm and solve it.
c. Draw a tree of recursive calls for this algorithm and count the number of calls made by the algorithm.
d. Is it a good algorithm for solving this problem?
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