Practice Graphical Representation of Inversions - 12.5 | 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 two people's different preferences.

Question 2

Easy

What is the time complexity of a brute-force method to count 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 is an inversion?

  • A pair ranked similarly
  • A ranking disagreement
  • A sorting algorithm

💡 Hint: Recall the definition we discussed.

Question 2

True or False: The brute force method is the most efficient way to count inversions.

  • True
  • False

💡 Hint: Think about the performance of the two methods.

Solve 1 more question and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

Given the array [10, 20, 30, 40], if a new number '25' is added, how many inversions are created?

💡 Hint: Check the new number against existing numbers to see if they form inversions.

Question 2

Using your knowledge of merge sort, detail the steps to count inversions for the array [7, 5, 6, 4].

💡 Hint: Break down the problem and count during each merge step.

Challenge and get performance evaluation