Practice Measuring Dissimilarity: Inversions - 12.3 | 12. Divide and Conquer: Counting Inversions | 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 an inversion in the context of ranking.

💡 Hint: Think about how preferences can differ.

Question 2

Easy

What is the time complexity of the brute force method for counting inversions?

💡 Hint: Consider how many pairs you need to check.

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 an inversion?

  • A pair of items in the same order
  • A pair of items in opposite order
  • A single ranked item

💡 Hint: Consider how tastes can differ.

Question 2

The time complexity of the brute force method to count inversions is ____.

  • True
  • False

💡 Hint: Think about the number of comparisons required.

Solve 3 more questions and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

Design a modified merge sort algorithm to count inversions. Explain its steps and time complexity.

💡 Hint: Consider how the merging process contributes to counting inversions.

Question 2

Propose a real-world application that utilizes inversion counting beyond recommendation systems.

💡 Hint: Think about how preferences overlap in different scenarios.

Challenge and get performance evaluation