Question: 7. Consider the following algorithm, answer question a-b: (16 points) Algorithm Some Algorithm(n) // Input: n, a nonnegative integer // Output: a real number If

7. Consider the following algorithm, answer question a-b: (16 points) Algorithm

7. Consider the following algorithm, answer question a-b: (16 points) Algorithm Some Algorithm(n) // Input: n, a nonnegative integer // Output: a real number If n == 0: return 1 Else: return 2 + 2 * Some Algorithm(n-1) a) Let F(n) denote the the return value of Some Algorithm(n). Set up a recurrence relation for F(n), and solve the recurrence. b) Let NumMul(n) denote the number of times multiplication operation is executed when running SomeAlgorithm(n). Set up a recurrence relation for NumMul(n), and solve the recurrence

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