In an array-based implementation of a heap,the heapDelete operation is ______.
A)O(1)
B)O(n)
C)O(n²)
D)O(log n)

Question

Quizplus · Accepted Answer

In an array-based implementation of a heap, the heapDelete operation involves deleting the root node and replacing it with the last element in the array. This new root node needs to be moved down the heap to its correct position, which involves comparing it with its children and swapping with the larger child if necessary. This process takes time proportional to the height of the heap, which is O(log n) for a heap with n nodes. Therefore, the time complexity of heapDelete operation in an array-based implementation of a heap is O(log n).

In an Array-Based Implementation of a Heap,the HeapDelete Operation Is