What is the time complexity of max-heapify?
Understand the Problem
The question is asking for the time complexity of the max-heapify algorithm, which is used to maintain the heap property in a max-heap data structure. The key concept to address is how the algorithm performs in terms of time as the size of the heap increases.
Answer
O(log n)
The time complexity of max-heapify is O(log n).
Answer for screen readers
The time complexity of max-heapify is O(log n).
More Information
The max-heapify operation is fundamental in maintaining the max-heap property by rearranging the elements to ensure that every parent node is greater than or equal to its child nodes.
Tips
A common mistake is confusing the time complexity of building a heap with the time complexity of max-heapify. While building a heap is O(n), max-heapify is O(log n).
Sources
- Time Complexity of building a heap - GeeksforGeeks - geeksforgeeks.org
- Help! A question about the time complexity of max-heapify. - Reddit - reddit.com
- What is the time complexity of building a heap? - Naukri.com - naukri.com
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