Practice Points in the Zone - 13.5.3 | 13. Divide and Conquer: Closest Pair of Points | Design & Analysis of Algorithms - Vol 2
K12 Students

Academics

AI-Powered learning for Grades 8–12, aligned with major Indian and international curricula.

Professionals

Professional Courses

Industry-relevant training in Business, Technology, and Design to help professionals and graduates upskill for real-world careers.

Games

Interactive Games

Fun, engaging games to boost memory, math fluency, typing speed, and English skills—perfect for learners of all ages.

Practice Questions

Test your understanding with targeted questions related to the topic.

Question 1

Easy

What is the time complexity of the brute force approach for finding the closest pair of points?

💡 Hint: Consider how many comparisons you're making with n points.

Question 2

Easy

Which formula is used to calculate the distance between two points in a 2D plane?

💡 Hint: Think about the Pythagorean theorem.

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 focus of the closest pair of points algorithm?

  • Finding the farthest points
  • Finding the closest pair of points
  • Sorting points

💡 Hint: Think about the problem definition.

Question 2

The time complexity of the divide and conquer algorithm for finding the closest pair of points is:

  • True
  • False

💡 Hint: Consider how sorting contributes to the complexity.

Solve 1 more question and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

Given a set of ten points, describe the steps you would take to implement the divide and conquer algorithm to find the closest pair.

💡 Hint: Work through each step patiently.

Question 2

How does the existence of multiple points within a zone affect the accuracy of the closest pair distance?

💡 Hint: Consider the relationship across the dividing line.

Challenge and get performance evaluation