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If you have a min-heap, what will be the time complexity to extract the minimum

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Question: If you have a min-heap, what will be the time complexity to extract the minimum element?

Options:

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

Correct Answer: O(log n)

Solution: 

Extracting the minimum element from a min-heap requires re-structuring the heap, which takes O(log n) time.

If you have a min-heap, what will be the time complexity to extract the minimum

Practice Questions

Q1
If you have a min-heap, what will be the time complexity to extract the minimum element?
  1. O(1)
  2. O(log n)
  3. O(n)
  4. O(n log n)

Questions & Step-by-Step Solutions

If you have a min-heap, what will be the time complexity to extract the minimum element?
  • Min-Heap Properties – A min-heap is a complete binary tree where the value of each node is less than or equal to the values of its children, allowing for efficient retrieval of the minimum element.
  • Heap Operations – Understanding the time complexities of various heap operations, particularly insertion and extraction, is crucial for analyzing performance.
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