Practice Divide and Conquer: Counting Inversions - 12 | 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 a list.

💡 Hint: Think about the order of elements in an array.

Question 2

Easy

What does the divide and conquer method entail?

💡 Hint: Remember the steps of the algorithm.

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 a sequence?

  • A pair of items that are in sequential order
  • A pair of items that are not in sequential order
  • Any two items in a sequence

💡 Hint: Think about how we define ordering in a list.

Question 2

True or False: A divide and conquer strategy can be used to count inversions efficiently.

  • True
  • False

💡 Hint: Recall the efficiency compared to a brute force method.

Solve and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

Determine the number of inversions for the following array: [2, 3, 8, 6, 1]. Explain the process you used.

💡 Hint: List pairs in order and check their indices.

Question 2

Consider two rankings, A = [3, 1, 2] and B = [1, 3, 2]. Calculate the number of inversions and describe how you derived the count.

💡 Hint: Focus on how elements are ranked in both A and B.

Challenge and get performance evaluation