Practice Inductive Definitions, Recursive Functions And Efficient Evaluation (43.1.1)
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Inductive Definitions, Recursive Functions and Efficient Evaluation

Practice - Inductive Definitions, Recursive Functions and Efficient Evaluation

Learning

Practice Questions

Test your understanding with targeted questions

Question 1 Easy

Define inductive definition in your own words.

💡 Hint: Think about breaking something complex into simpler parts.

Question 2 Easy

What is a recursive function?

💡 Hint: Recall the factorial function as an example.

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

Question 1

What is the primary goal of the Longest Common Subsequence problem?

To find the shortest subsequence
To determine the longest subsequence common to both words
To find completely different substrings

💡 Hint: Think about what 'longest' means in terms of similarity.

Question 2

True or False: Dynamic programming can reduce the computation time for recursive functions.

True
False

💡 Hint: Consider how storing values helps in calculation.

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Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

Given the strings 'AGGTAB' and 'GXTXAYB', determine the length of their Longest Common Subsequence using dynamic programming.

💡 Hint: Fill the DP table while tracking matches and mismatches.

Challenge 2 Hard

Explain how the inductive structure of a problem can lead to a recursive solution and give an example.

💡 Hint: Reflect on how defining one case leads to the next smaller case.

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Reference links

Supplementary resources to enhance your learning experience.