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

4.4 - Subproblem Dependency

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Learning

Practice Questions

Test your understanding with targeted questions

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.

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

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.

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Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

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.

Challenge 2 Hard

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.

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Reference links

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