Question: 3. (15 marks) Consider the following algorithm: Algorithm FactorSum(A, n): 2 Input: Array A of n real numbers. SEO for it 0 to n -

3. (15 marks) Consider the following algorithm: Algorithm FactorSum(A, n): 2

3. (15 marks) Consider the following algorithm: Algorithm FactorSum(A, n): 2 Input: Array A of n real numbers. SEO for it 0 to n - 1 for j - i to n - 1 P+1 for kt i to j P + P x A[k] S+S+P return S (a) Analyze the running time of this algorithm asymptotically. (b) Improve the running time of the algorithm in a way that reduce its asymptotic time complexity, and analyze the running time of your improved algorithm asymptotically

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