Practice Time Complexity of Merge Sort - 14.1.3 | 14. Merge Sort: Analysis | Design & Analysis of Algorithms - Vol 1
Students

Academic Programs

AI-powered learning for grades 8-12, aligned with major curricula

Professional

Professional Courses

Industry-relevant training in Business, Technology, and Design

Games

Interactive Games

Fun games to boost memory, math, typing, and English skills

Time Complexity of Merge Sort

14.1.3 - Time Complexity of Merge Sort

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.

Learning

Practice Questions

Test your understanding with targeted questions

Question 1 Easy

What is the time complexity of the merge operation?

💡 Hint: Think about how we process each element in both lists.

Question 2 Easy

What does T(n) represent in the context of merge sort?

💡 Hint: Recall what we mentioned about T(n) and its relation to recursion.

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

Question 1

What is the time complexity of merge sort?

O(n^2)
O(n log n)
O(n)

💡 Hint: Think about the efficiency compared to simpler sorting methods.

Question 2

The merge operation takes linear time. True or False?

True
False

💡 Hint: Recall how each element from the lists is compared and moved.

1 more question available

Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

Design a hybrid sorting algorithm that integrates merge sort with quicksort principles. How would you handle the merging phase?

💡 Hint: Consider the size of the array before selecting the sorting method.

Challenge 2 Hard

Consider implementing merge sort without using additional arrays for merging. Discuss alternative methods and their potential drawbacks.

💡 Hint: Think about how in-place sorting compares to the standard merge method.

Get performance evaluation

Reference links

Supplementary resources to enhance your learning experience.