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Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
Define an inversion in the context of rankings.
💡 Hint: Think about pairs of items in terms of order.
Question 2
Easy
What is the time complexity of counting inversions using the brute-force method?
💡 Hint: Consider the number of comparisons you need for each item.
Practice 4 more questions and get performance evaluation
Interactive Quizzes
Engage in quick quizzes to reinforce what you've learned and check your comprehension.
Question 1
What is the time complexity of counting inversions using merge sort?
- O(n^2)
- O(n log n)
- O(n)
💡 Hint: Think about how merging elements affects overall performance.
Question 2
True or False: Every pair of rankings with no inversions are identical.
- True
- False
💡 Hint: Reflect on the definition of inversion.
Solve 1 more question and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
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.
Question 2
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.
Challenge and get performance evaluation