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Consider a variant of the matrix-chain multiplication problem in which the goal is to parenthesize...

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Advance Math

Consider a variant of the matrix-chain multiplication problem in which the goal is to parenthesize the sequence of matrices so as to maximize, rather than minimize, the number of scalar multiplications. Does this problem exhibit optimal substructure?

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Yes this problem does exhibit optimal substructure property Say the highest level parenthesization splits the matrix chain into two sub chains The parenthesization within each subchain must be such that they maximize the number of scalar    See Answer
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