4.1 - General Problem
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Practice Questions
Test your understanding with targeted questions
Define the longest common subsequence (LCS).
💡 Hint: Break down the definition into parts: 'longest', 'subsequence', and 'order'.
What does dynamic programming help with in problem-solving?
💡 Hint: Think of a way to avoid calculating the same thing multiple times.
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Interactive Quizzes
Quick quizzes to reinforce your learning
What strategy does LCS utilize to find similarities between sequences?
💡 Hint: Consider the goal of finding the longest match, not just short ones.
True or False: LCS can only be applied to genetic sequences.
💡 Hint: Think broadly about how LCS might be useful in texts or sentences.
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Challenge Problems
Push your limits with advanced challenges
Given the sequences 'AGGTAB' and 'GXTXAYB', compute the LCS and explain how to arrive at your answer.
💡 Hint: Visualize a grid; track matching characters and build on previous results.
Critique the efficiency of LCS utilizing brute force versus dynamic programming.
💡 Hint: Understand the relation between the size of input and the number of calculations involved.
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