Which is a more efficient way to determine the optimal number of multiplications in a matrix chain

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Which is a more efficient way to determine the optimal number of multiplications in a matrix chain multiplication problem: enumerating all the ways of parenthesizing the product and computing the number of multiplications for each, or running RECURSIVE-MATRIXCHAIN? Justify your answer.
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Financial Accounting an introduction to concepts, methods and uses

ISBN: 978-0324789003

13th Edition

Authors: Clyde P. Stickney, Roman L. Weil, Katherine Schipper, Jennifer Francis

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