Use dynamic programming to find an optimal parenthesization of a matrix-chain product whose sequence of dimensions is <5, 12, 3, 10, 5, 40> (A1 is 5×12, A2 is 12×3, A5 is 5×40). .... You need to provide an optimal solution and illustrate your intermediate results by providing the m and s matrices (i.e., show how you compute every entry in the two matrices)
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