What is the time complexity of heapify?
Understand the Problem
The question is asking about the time complexity of the heapify algorithm, which is used in data structures like heaps. This involves understanding how the performance of the heapify operation scales with the size of the input.
Answer
O(log n)
The final answer is O(log n)
Answer for screen readers
The final answer is O(log n)
More Information
Heapify operation time complexity is linked to the height of a binary tree, which is log(n) for n elements. The operation involves percolating elements down the tree.
Tips
A common mistake is to confuse the time complexity of heapify with that of building a heap, which involves multiple heapify operations.
Sources
- Time Complexity of Building a Heap - GeeksforGeeks - geeksforgeeks.org
- How can building a heap be O(n) time complexity? - Stack Overflow - stackoverflow.com
- Binary Heap - Wikipedia - en.wikipedia.org
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