Practice Measuring Dissimilarity: Inversions - 12.3 | 12. Divide and Conquer: Counting Inversions | Design & Analysis of Algorithms - Vol 2
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Measuring Dissimilarity: Inversions

12.3 - Measuring Dissimilarity: Inversions

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Learning

Practice Questions

Test your understanding with targeted questions

Question 1 Easy

Define an inversion in the context of ranking.

💡 Hint: Think about how preferences can differ.

Question 2 Easy

What is the time complexity of the brute force method for counting inversions?

💡 Hint: Consider how many pairs you need to check.

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

Question 1

What is an inversion?

A pair of items in the same order
A pair of items in opposite order
A single ranked item

💡 Hint: Consider how tastes can differ.

Question 2

The time complexity of the brute force method to count inversions is ____.

True
False

💡 Hint: Think about the number of comparisons required.

3 more questions available

Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

Design a modified merge sort algorithm to count inversions. Explain its steps and time complexity.

💡 Hint: Consider how the merging process contributes to counting inversions.

Challenge 2 Hard

Propose a real-world application that utilizes inversion counting beyond recommendation systems.

💡 Hint: Think about how preferences overlap in different scenarios.

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