Practice Merging and Counting Inversions - 12.8 | 12. Divide and Conquer: Counting Inversions | Design & Analysis of Algorithms - Vol 2
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Merging and Counting Inversions

12.8 - Merging and Counting Inversions

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Learning

Practice Questions

Test your understanding with targeted questions

Question 1 Easy

Define what an inversion is in ranking.

💡 Hint: Think about two items ranked differently.

Question 2 Easy

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

💡 Hint: Consider how many comparisons are made.

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

Question 1

What condition defines an inversion in two ranking orders?

When they are identical
When they are reversed
When they are in the same order

💡 Hint: Think about pairs and their comparisons.

Question 2

Is counting inversions in a ranking system important for recommendation systems?

True
False

💡 Hint: Consider how recommendations are determined based on user preferences.

2 more questions available

Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

Given an array of movie rankings [4, 3, 2, 1], how many inversions does it contain? Illustrate your reasoning step by step.

💡 Hint: List and compare each possible pair.

Challenge 2 Hard

Design an algorithm to count inversions in an array and analyze its time complexity.

💡 Hint: Focus on iterating through merged arrays to count crossing conditions.

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