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1. (10 pts) Longest Common Subsequence (LCS) Given two sequences X[1...n) and Y[1m], compute the longest common subsequence of X and Y using dynamic pro- gramming. Let D[][] be the maximum length of the common subsequence of X[1] and Y[1]. Answer the following: a) What is the recurrence equation for D[i][j]? b) What is the base case? c) Given X="ATTGA" and Y = "ATGTAA". Fill in the dynamic programming table to compute D[i][j]. d) What is the actual longest common subsequence of the above example? You MUST show the tracing in the dynamic programming table to receive full credit. You only need to show one answer even if multiple solutions exist.

1. (10 pts) Longest Common Subsequence (LCS) Given two sequences X[1...n) and Y[1m], compute the longest common subsequence of X and Y using dynamic pro- gramming. Let D[][] be the maximum length of the common subsequence of X[1] and Y[1]. Answer the following: a) What is the recurrence equation for D[i][j]? b) What is the base case? c) Given X="ATTGA" and Y = "ATGTAA". Fill in the dynamic programming table to compute D[i][j]. d) What is the actual longest common subsequence of the above example? You MUST show the tracing in the dynamic programming table to receive full credit. You only need to show one answer even if multiple solutions exist.

Operations Research : Applications and Algorithms
Operations Research : Applications and Algorithms
4th Edition
ISBN:9780534380588
Author:Wayne L. Winston
Publisher:Wayne L. Winston
Chapter11: Nonlinear Programming
Section: Chapter Questions
Problem 22RP
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1. (10 pts) Longest Common Subsequence (LCS) Given two sequences X[1...n) and Y[1m], compute the longest common subsequence of X and Y using dynamic pro- gramming. Let D[][] be the maximum length of the common subsequence of X[1] and Y[1]. Answer the following: a) What is the recurrence equation for D[i][j]? b) What is the base case? c) Given X="ATTGA" and Y = "ATGTAA". Fill in the dynamic programming table to compute D[i][j]. d) What is the actual longest common subsequence of the above example? You MUST show the tracing in the dynamic programming table to receive full credit. You only need to show one answer even if multiple solutions exist.
Transcribed Image Text:1. (10 pts) Longest Common Subsequence (LCS) Given two sequences X[1...n) and Y[1m], compute the longest common subsequence of X and Y using dynamic pro- gramming. Let D[][] be the maximum length of the common subsequence of X[1] and Y[1]. Answer the following: a) What is the recurrence equation for D[i][j]? b) What is the base case? c) Given X="ATTGA" and Y = "ATGTAA". Fill in the dynamic programming table to compute D[i][j]. d) What is the actual longest common subsequence of the above example? You MUST show the tracing in the dynamic programming table to receive full credit. You only need to show one answer even if multiple solutions exist.
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