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help Find an optimal parenthesization of a matrix-chain product whose sequence o

ID: 3553990 • Letter: H

Question

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Find an optimal parenthesization of a matrix-chain product whose sequence of dimensions is (5,10,3, 12,5,50.6). 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-Matrix-Chain? Justify your answer. Determine an LCS of (1,0,0, 1.0,1,0.1) and (0,1,0.1,1,0. 1,1,0). Show how to compute the length of an LCS using only 2 min(m, n) entries in the c table plus O(1) additional space. Then show how to do the same thing, but using min(m, n) entries plus O(1) additional space. Prove that the fractional knapsack problem has the greedy-choice property.

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help Find an optimal parenthesization of a matrix-chain product whose sequence o