Design a recursive version of dynamic programming algorithm (Top-down) to construct the actual solution of the matrix chain multiplication problem (i.e., the parentheses order). For this problem, please write down the recursive function in pseudocode and Write down the dynamic table and matrix output on the following examples: (a) Three matrices (A, B, and C) with dimensions 10 × 50 × 5 × 100, respectively. (b) Four matrices (A, B, C, and D) with dimensions 20 × 5 × 10 × 30 × 10, respectively.
Design a recursive version of dynamic programming algorithm (Top-down) to construct the actual solution of the matrix chain multiplication problem (i.e., the parentheses order). For this problem, please write down the recursive function in pseudocode and Write down the dynamic table and matrix output on the following examples: (a) Three matrices (A, B, and C) with dimensions 10 × 50 × 5 × 100, respectively. (b) Four matrices (A, B, C, and D) with dimensions 20 × 5 × 10 × 30 × 10, respectively.
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Transcribed Image Text:Design a recursive version of dynamic programming algorithm (Top-down) to construct the actual solution
of the matrix chain multiplication problem (i.e., the parentheses order). For this problem, please write down
the recursive function in pseudocode and Write down the dynamic table and matrix output on the following
examples:
(a) Three matrices (A, B, and C) with dimensions 10 × 50 × 5 × 100, respectively.
(b) Four matrices (A, B, C, and D) with dimensions 20 × 5 × 10 × 30 × 10, respectively.
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