12.9 - Implementation of Merge Procedure with Counting
Enroll to start learning
You’ve not yet enrolled in this course. Please enroll for free to listen to audio lessons, classroom podcasts and take practice test.
Practice Questions
Test your understanding with targeted questions
Define an inversion in the context of rankings.
💡 Hint: Think about pairs of items in terms of order.
What is the time complexity of counting inversions using the brute-force method?
💡 Hint: Consider the number of comparisons you need for each item.
4 more questions available
Interactive Quizzes
Quick quizzes to reinforce your learning
What is the time complexity of counting inversions using merge sort?
💡 Hint: Think about how merging elements affects overall performance.
True or False: Every pair of rankings with no inversions are identical.
💡 Hint: Reflect on the definition of inversion.
1 more question available
Challenge Problems
Push your limits with advanced challenges
Design an algorithm that counts inversions in O(n log n) time and identify its key components.
💡 Hint: Focus on how merging sorted lists relates to counting inversions.
Given two users' ranking lists, A = [3, 1, 2, 5, 4] and B = [2, 1, 3, 5, 4], find the number of inversions between them.
💡 Hint: Consider how to map one ranking into the order of another.
Get performance evaluation
Reference links
Supplementary resources to enhance your learning experience.