My Learning Cart
?
Categories
Account

What is the time complexity of merge sort?

₹0.0
Login to Download
  • 📥 Instant PDF Download
  • ♾ Lifetime Access
  • 🛡 Secure & Original Content

What’s inside this PDF?

Question: What is the time complexity of merge sort?

Options:

  1. O(n)
  2. O(n log n)
  3. O(n^2)
  4. O(log n)

Correct Answer: O(n log n)

Solution: 

Merge sort divides the array and merges sorted halves, resulting in a time complexity of O(n log n).

What is the time complexity of merge sort?

Practice Questions

Q1
What is the time complexity of merge sort?
  1. O(n)
  2. O(n log n)
  3. O(n^2)
  4. O(log n)

Questions & Step-by-Step Solutions

What is the time complexity of merge sort?
  • Step 1: Understand that merge sort is a sorting algorithm that works by dividing an array into smaller parts.
  • Step 2: Realize that the array is divided in half repeatedly until each part has one element.
  • Step 3: Know that merging these parts back together involves comparing elements and sorting them.
  • Step 4: Recognize that the division of the array takes log(n) time because you keep halving it.
  • Step 5: Understand that merging the sorted parts takes linear time, which is O(n).
  • Step 6: Combine the two parts: the time complexity for merge sort is O(n) for merging and O(log n) for dividing.
  • Step 7: Conclude that the overall time complexity of merge sort is O(n log n).
No concepts available.
Soulshift Feedback ×

On a scale of 0–10, how likely are you to recommend The Soulshift Academy?

Not likely Very likely
Home Practice Performance eBooks