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Exercise The longest palindromic subsequence problem is a classic variation of the Longest Common Subsequence (LCS) problem. The idea is to find LCS of the given string with its reverse, i.e., call LCS(X, reverse(X)) and the longest common subsequence will be the longest palindromic subsequence. 1- We consider the sequence X = ABBDCACB. Apply the appropriate dynamic programming algorithm to compute the longest palindrome sequence and it is length. You must show all the computing steps. Exercise 2 Find an optimal solution for the knapsack instance n (number of objects) -7 and W (total weight) -15, in such a way that the total weight is less than or equal to a given limit and the total profit value is as large as possible. Profits and weights of each object are as follows (p1, p2p7) (10, 5, 15, 7, 6, 18, 3) (w1, w2.........w7) = (2,3,5,7,6,4,1)

Exercise The longest palindromic subsequence problem is a classic variation of the Longest Common Subsequence (LCS) problem. The idea is to find LCS of the given string with its reverse, i.e., call LCS(X, reverse(X)) and the longest common subsequence will be the longest palindromic subsequence. 1- We consider the sequence X = ABBDCACB. Apply the appropriate dynamic programming algorithm to compute the longest palindrome sequence and it is length. You must show all the computing steps. Exercise 2 Find an optimal solution for the knapsack instance n (number of objects) -7 and W (total weight) -15, in such a way that the total weight is less than or equal to a given limit and the total profit value is as large as possible. Profits and weights of each object are as follows (p1, p2p7) (10, 5, 15, 7, 6, 18, 3) (w1, w2.........w7) = (2,3,5,7,6,4,1)

Operations Research : Applications and Algorithms
Operations Research : Applications and Algorithms
4th Edition
ISBN:9780534380588
Author:Wayne L. Winston
Publisher:Wayne L. Winston
Chapter18: Deterministic Dynamic Programming
Section18.4: Resource-allocation Problems
Problem 3P
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Exercise The longest palindromic subsequence problem is a classic variation of the Longest Common Subsequence (LCS) problem. The idea is to find LCS of the given string with its reverse, i.e., call LCS(X, reverse(X)) and the longest common subsequence will be the longest palindromic subsequence. 1- We consider the sequence X = ABBDCACB. Apply the appropriate dynamic programming algorithm to compute the longest palindrome sequence and it is length. You must show all the computing steps. Exercise 2 Find an optimal solution for the knapsack instance n (number of objects) -7 and W (total weight) -15, in such a way that the total weight is less than or equal to a given limit and the total profit value is as large as possible. Profits and weights of each object are as follows (p1, p2p7) (10, 5, 15, 7, 6, 18, 3) (w1, w2.........w7) = (2,3,5,7,6,4,1)
Transcribed Image Text:Exercise The longest palindromic subsequence problem is a classic variation of the Longest Common Subsequence (LCS) problem. The idea is to find LCS of the given string with its reverse, i.e., call LCS(X, reverse(X)) and the longest common subsequence will be the longest palindromic subsequence. 1- We consider the sequence X = ABBDCACB. Apply the appropriate dynamic programming algorithm to compute the longest palindrome sequence and it is length. You must show all the computing steps. Exercise 2 Find an optimal solution for the knapsack instance n (number of objects) -7 and W (total weight) -15, in such a way that the total weight is less than or equal to a given limit and the total profit value is as large as possible. Profits and weights of each object are as follows (p1, p2p7) (10, 5, 15, 7, 6, 18, 3) (w1, w2.........w7) = (2,3,5,7,6,4,1)
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