Practice Graphical Representation of Inversions - 12.5 | 12. Divide and Conquer: Counting Inversions | Design & Analysis of Algorithms - Vol 2
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Graphical Representation of Inversions

12.5 - Graphical Representation of Inversions

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Learning

Practice Questions

Test your understanding with targeted questions

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.

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

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.

1 more question available

Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

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.

Challenge 2 Hard

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.

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