GATE CS 2023 Set 1 — Question 12
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Programming & Data Structures → Heaps → Min-Heap & Max-Heap
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Question
Which one of the following sequences when stored in an array at locations forms a max-heap?
Correct answer
(B) 23, 17, 14, 7, 13, 10, 1, 5, 6, 12
Solution
A max-heap must satisfy the property and for all valid indices .
- Option (A): . Its left child is . Since , it violates the max-heap property.
- Option (B):
- (True)
- (True)
- (True)
- (True)
- (True)
- Option (C): (Violation). Also (Violation).
- Option (D): (Violation).
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