Practice Inductive Definitions - 23.1 | 23. Dynamic Programming | Design & Analysis of Algorithms - Vol 2
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Practice Questions

Test your understanding with targeted questions related to the topic.

Question 1

Easy

Define the factorial of 4 using the inductive definition.

💡 Hint: Start by breaking down 4! step by step.

Question 2

Easy

What is the base case for the factorial function?

💡 Hint: Think about what happens when you have zero items.

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 base case for the inductive definition of factorial?

💡 Hint: Consider what factorial means for zero.

Question 2

True or False: Greedy algorithms always guarantee an optimal solution.

  • True
  • False

💡 Hint: Consider scenarios like weighted interval scheduling.

Solve 1 more question and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

Prove that the recursive definition of factorial is correct through induction.

💡 Hint: Start with simple values to show it holds.

Question 2

Given the interval scheduling problem with weights, design an efficient algorithm using dynamic programming.

💡 Hint: Consider maintaining an array of best weights to avoid overlaps.

Challenge and get performance evaluation