Practice Base Case for Recursion - 13.6.1 | 13. Divide and Conquer: Closest Pair of Points | Design & Analysis of Algorithms - Vol 2
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13.6.1 - Base Case for Recursion

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Learning

Practice Questions

Test your understanding with targeted questions related to the topic.

Question 1

Easy

What is a base case in recursion?

💡 Hint: Think about the scenario when no further recursion is needed.

Question 2

Easy

What time complexity does the brute force method have for finding the closest pair?

💡 Hint: Consider how many pair comparisons are made.

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 main purpose of a base case in recursion?

  • To define a recursive step
  • To end the recursion
  • To solve the main problem

💡 Hint: Consider the scenario where no further breakdown is necessary.

Question 2

True or False: The closest pair of points algorithm requires checking all possible pairs.

  • True
  • False

💡 Hint: Think about how points can be divided and the implications for calculations.

Solve 1 more question and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

You are given a set of points in a 2D plane. Describe how you would implement the divide and conquer algorithm for finding the closest points and discuss any assumptions you make.

💡 Hint: Focus on sorting and efficiently checking distances.

Question 2

Given a large dataset of points, explain how you would improve the efficiency of searching for the closest pair and what pitfalls to avoid.

💡 Hint: Consider how sorting affects overall performance.

Challenge and get performance evaluation