Practice Merging and Counting Inversions - 12.8 | 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 what an inversion is in ranking.

💡 Hint: Think about two items ranked differently.

Question 2

Easy

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

💡 Hint: Consider how many 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 condition defines an inversion in two ranking orders?

  • When they are identical
  • When they are reversed
  • When they are in the same order

💡 Hint: Think about pairs and their comparisons.

Question 2

Is counting inversions in a ranking system important for recommendation systems?

  • True
  • False

💡 Hint: Consider how recommendations are determined based on user preferences.

Solve 2 more questions and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

Given an array of movie rankings [4, 3, 2, 1], how many inversions does it contain? Illustrate your reasoning step by step.

💡 Hint: List and compare each possible pair.

Question 2

Design an algorithm to count inversions in an array and analyze its time complexity.

💡 Hint: Focus on iterating through merged arrays to count crossing conditions.

Challenge and get performance evaluation