12.10 - Analysis of Time Complexity
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 the divide and conquer strategy in one sentence.
💡 Hint: Think about how to tackle a large task.
What is an inversion in the context of rankings?
💡 Hint: Consider how preferences can differ between two people.
4 more questions available
Interactive Quizzes
Quick quizzes to reinforce your learning
What is the time complexity of the brute force method for counting inversions?
💡 Hint: Consider how many comparisons are made.
True or False: Merge sort can be modified to count inversions.
💡 Hint: Reflect on what happens when sorting two halves.
1 more question available
Challenge Problems
Push your limits with advanced challenges
Given the rankings [3, 1, 4, 2] and [1, 4, 2, 3], calculate the number of inversions and explain each step.
💡 Hint: Map each of the ranking pairs and see which are inverted.
Describe how you would implement a counting inversions algorithm from scratch, including planning for edge cases.
💡 Hint: Think about how to handle empty or very small input lists effectively.
Get performance evaluation
Reference links
Supplementary resources to enhance your learning experience.