Two DNA strands of length 100 (number of bases in the sequence) are given in DNA1.txt and DNA2.txt file.     Find the longest common subsequence (LCS) between the two sequences using dynamic programming bottom-up (tabulation) approach. Submit your code to solve the problem. How much time (in seconds or milliseconds) is required by your computer to run the algorithm?

Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
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Problem 1. 

 

Two DNA strands of length 100 (number of bases in the sequence) are given in DNA1.txt and DNA2.txt file.  

 

  1. Find the longest common subsequence (LCS) between the two sequences using dynamic programming bottom-up (tabulation) approach. Submit your code to solve the problem. How much time (in seconds or milliseconds) is required by your computer to run the algorithm?
  2. Solve the same LCS problem using dynamic programming top-down (memorization) approach. Submit your code to solve the problem. How much time (in seconds or milliseconds) is required by your computer to run the algorithm.
  3. Which solution is faster and why? Discuss your solutions.
DNA1:
GTCTATTATCAACTCTTTGTTGTGACCCAGCTACCTGTTGC
GCGCGTAACCTTGAACGTACGCTAAACTGCCATCACTATG
19 October 2022 at 3:04 PM
GCAATCTACTTGCACTTTG
DNA2:
CTATGGCCGCATTTTTCGTTTGTCGTTGGCACCGGTTGCC
CCAGAGACAAAATACCTTGTCAGCTCGGTGTCATCTTGGC
TCTAGCGGATAGGCCAACGT
I
Transcribed Image Text:DNA1: GTCTATTATCAACTCTTTGTTGTGACCCAGCTACCTGTTGC GCGCGTAACCTTGAACGTACGCTAAACTGCCATCACTATG 19 October 2022 at 3:04 PM GCAATCTACTTGCACTTTG DNA2: CTATGGCCGCATTTTTCGTTTGTCGTTGGCACCGGTTGCC CCAGAGACAAAATACCTTGTCAGCTCGGTGTCATCTTGGC TCTAGCGGATAGGCCAACGT I
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