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Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
What do you initialize the first row and column of the LCS table to?
💡 Hint: Think about the base cases in DP.
Question 2
Easy
Why is dynamic programming more efficient than recursion for LCS?
💡 Hint: Consider the overlap in recursive calls.
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 purpose of dynamic programming?
- To solve problems only using recursion
- To solve problems by breaking them into subproblems
- To avoid using memory
💡 Hint: Consider the definition of dynamic programming.
Question 2
True or False: Each entry in the LCS table relies only on one previous cell.
- True
- False
💡 Hint: Think about how many directions we check.
Solve 1 more question and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
Suppose you have two sequences: 'ABCBDAB' and 'BDCAB'. Calculate the LCS using dynamic programming and show the filled table.
💡 Hint: Pay attention to dependencies and relationships between characters.
Question 2
Design an algorithm to count how many different LCS can be formed from the sequences 'AGGTAB' and 'GXTXAYB'.
💡 Hint: Modify the LCS to return counts at each stage.
Challenge and get performance evaluation