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Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
What is an inductive definition?
💡 Hint: Think about how factorial is defined.
Question 2
Easy
What does the base case of a recursive function provide?
💡 Hint: Consider what happens when n=0 in factorial.
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 does an inductive definition allow?
- Defining functions iteratively
- Defining functions based on smaller cases
- Neither
💡 Hint: Think of how factorial is structured.
Question 2
True or False: The optimal substructure property means a problem can be solved by combining solutions of subproblems.
- True
- False
💡 Hint: Recall the definitions of optimal substructure.
Solve 1 more question and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
Using dynamic programming, calculate the number of ways to reach the nth Fibonacci number without recalculating each intermediate step.
💡 Hint: Remember how Fibonacci builds on previous results.
Question 2
Devise an optimal solution for a modified interval scheduling problem where each request has a different weight based on the value of the request.
💡 Hint: Think about prioritizing requests based on weight versus duration.
Challenge and get performance evaluation