Practice Brute Force Approach to Count Inversions - 12.6 | 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.

💡 Hint: Think about how two people can rank the same items differently.

Question 2

Easy

Why is the brute force method considered inefficient?

💡 Hint: Consider how the number of comparisons grows as items increase.

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 in ranking?

  • A pair of items in correct order
  • A pair of items that are swapped
  • A pair of items that are out of order

💡 Hint: Think about pairs that don't follow the expected order.

Question 2

True or False: The brute force method has a time complexity of O(n log n).

  • True
  • False

💡 Hint: Consider the efficiency of different methods.

Solve 1 more question and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

You have two rankings, R1 = [3, 1, 4, 2] and R2 = [4, 3, 2, 1]. Calculate how many inversions exist and detail the method used.

💡 Hint: Count all misordered pairs.

Question 2

Create an algorithm to efficiently count inversions in an array of size n, and analyze its time complexity.

💡 Hint: Think about merging sorted arrays.

Challenge and get performance evaluation