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GATE | GATE-CS-2016 (Set 1) | Question 47
An operator delete(i) for a binary heap data structure is to be designed to delete the item in the i-th node. Assume that the heap is implemented in an array and i refers to the i-th index of the array. If the heap tree has depth d (number of edges on the path from the root to the farthest leaf), then what is the time complexity to re-fix the heap efficiently after the removal of the element?
(A)
O(1)
(B)
O(d) but not O(1)
(C)
O(2d) but not O(d)
(D)
O(d2d) but not O(2d)
Answer
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