Practice Subproblem Dependency - 4.4 | 4. Longest Common Subsequence | Design & Analysis of Algorithms - Vol 3
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Practice Questions

Test your understanding with targeted questions related to the topic.

Question 1

Easy

Define Longest Common Subsequence in your own words.

💡 Hint: Think about patterns in sequences.

Question 2

Easy

What is dynamic programming?

💡 Hint: Consider how problems can be simplified.

Practice 4 more questions and get performance evaluation

Interactive Quizzes

Engage in quick quizzes to reinforce what you've learned and check your comprehension.

Question 1

What is the time complexity of finding LCS using dynamic programming?

  • O(m*n)
  • O(m+n)
  • O(m^2)

💡 Hint: Remember how we build the solution.

Question 2

True or False: LCS can include characters that are not adjacent in given sequences.

  • True
  • False

💡 Hint: Think about the definition of a subsequence.

Solve and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

Suppose you have string A: 'ABCBDAB' and string B: 'BDCAB'. Calculate the LCS, and provide the DP table.

💡 Hint: Start with filling the first two rows based on matches and mismatches.

Question 2

Discuss how LCS can be extended to more than two sequences. What complexities arise?

💡 Hint: Consider expanding the dimension of the DP table for more sequences.

Challenge and get performance evaluation