What kind of array has the property where the children of node i are at indices 2i + 1 and 2i + 2? a) dynamic array b) binary heap c) binary tree d) B-tree
Understand the Problem
The question is asking to identify which type of data structure has a specific property related to the indices of its children in an array representation, specifically where the children of a node at index i are located at indices 2i + 1 and 2i + 2.
Answer
Binary heap
The final answer is binary heap.
Answer for screen readers
The final answer is binary heap.
More Information
In the array representation of a binary heap, for any node at index 'i', its children can be found at indices '2i + 1' and '2i + 2'. This property enables efficient access and management of heap elements.
Tips
A common mistake is confusing the array-based binary heap with a binary tree, which does not have this specific indexing property for its children.
Sources
- Array Representation Of Binary Heap - GeeksforGeeks - geeksforgeeks.org
- Binary heap - Wikipedia - en.wikipedia.org
- In a binary heap, a node with index i has children at indices 2i+1 and 2i+2 - Quora - quora.com
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