Practice Divide and Conquer Paradigm - 12.1 | 12. Divide and Conquer: Counting Inversions | 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 divide and conquer strategy?

💡 Hint: Consider how different sorting algorithms operate.

Question 2

Easy

Define an inversion in ranking.

💡 Hint: Think about how two users might rate the same movies.

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 best describes the divide and conquer paradigm?

  • A method of sorting items by color.
  • Breaking problems into subproblems and combining results.
  • A technique for finding the maximum number in an array.

💡 Hint: Think about how sorting algorithms operate.

Question 2

True or False: Inversions measure similarity in rankings.

  • True
  • False

💡 Hint: Consider what inversions represent in user rankings.

Solve 1 more question and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

Given an array of numbers, implement the merge and count algorithm to find the number of inversions. Justify your approach and discuss potential edge cases.

💡 Hint: Focus on both counting inversions and maintaining the sorted order.

Question 2

Create a real-world example where you would apply counting inversions in a recommendation system. What data would you need?

💡 Hint: Think about how other users' ratings can influence the recommendations.

Challenge and get performance evaluation