Question: Subject: Design analysis of Algorithms 2. ( 35 points) a. (15 points) Develop a greedy algorithm to solve the matrix chain multiplication problem. b. (10

Subject: Design analysis of Algorithms

2. ( 35 points) a. (15 points) Develop a greedy algorithm to solve the matrix chain multiplication problem. b. (10 points) Analyze its time complexity and compare it to the dynamic programming algorithm for the same problem c. (10 points) Do you think the algorithm will find the optimal solution? If yes, sketch a proof. Otherwise, give a counter example

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