Practice Divide and Conquer: Counting Inversions - 12 | 12. Divide and Conquer: Counting Inversions | Design & Analysis of Algorithms - Vol 2
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Divide and Conquer: Counting Inversions

12 - Divide and Conquer: Counting Inversions

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Learning

Practice Questions

Test your understanding with targeted questions

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.

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

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.

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Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

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.

Challenge 2 Hard

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.

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