Practice Basic Ranking and Inversions - 12.4 | 12. Divide and Conquer: Counting Inversions | Design & Analysis of Algorithms - Vol 2
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Basic Ranking and Inversions

12.4 - Basic Ranking and Inversions

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Learning

Practice Questions

Test your understanding with targeted questions

Question 1 Easy

Define what an inversion is in rankings.

💡 Hint: Think about the opposite ranking of two items.

Question 2 Easy

What is the time complexity of counting inversions using a brute-force approach?

💡 Hint: Consider checking each pair of items.

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

Question 1

What is the definition of an inversion?

A count of similar preferences
A count of opposite ranking pairs
Total number of items

💡 Hint: Think of pairs that are ranked differently.

Question 2

True or False: A merge sort with inversion counting can achieve time complexity of O(n log n).

True
False

💡 Hint: Consider the efficiency of merge sort.

1 more question available

Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

Given the rankings [4, 3, 2, 1], calculate the total number of inversions and explain the reasoning.

💡 Hint: Think about how each element can be paired with elements to its right.

Challenge 2 Hard

Design a function that counts inversions in an array. Demonstrate with an example.

💡 Hint: How does merging relate to counting inversions?

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