Write a C++ program to implement the LCS algorithm covered in class for finding the Longest Common Subsequence (LCS) of two sequences. Provide comprehensive comments and explanations within your code to elucidate the logic and implementation of the dynamic programming approach. Note that LCS is different from a common substring. Test your program with the following two cases to verify the correctness of your implementation: Test Case 1: Given two sequences X and Y: X= (A, B, C, B, D, A, B) and Y = (B, D, C, A, B, A) Test Case 2: Given two gene sequences S1 and S2: S₁ = ACCGGTCGAGTGCGCGGAAGCCGGCCGAA S₂ = GTCGTTCGGAATGCCGTTGCTCTGTAAA

Write a C++ program to implement the LCS algorithm covered in class for finding the Longest Common Subsequence (LCS) of two sequences. Provide comprehensive comments and explanations within your code to elucidate the logic and implementation of the dynamic programming approach. Note that LCS is different from a common substring. Test your program with the following two cases to verify the correctness of your implementation: Test Case 1: Given two sequences X and Y: X= (A, B, C, B, D, A, B) and Y = (B, D, C, A, B, A) Test Case 2: Given two gene sequences S1 and S2: S₁ = ACCGGTCGAGTGCGCGGAAGCCGGCCGAA S₂ = GTCGTTCGGAATGCCGTTGCTCTGTAAA

C++ for Engineers and Scientists

4th Edition

ISBN:9781133187844

Author:Bronson, Gary J.

Publisher:Bronson, Gary J.

Chapter5: Repetition Statements

Section5.5: A Closer Look: Loop Programming Techniques

Problem 12E: (Program) Write a program that tests the effectiveness of the rand() library function. Start by...

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