Which of the following operations can be performed in O(1) time on a priority qu

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Question: Which of the following operations can be performed in O(1) time on a priority queue implemented with a binary heap?

Options:

Correct Answer: Get Min

Solution:

Getting the minimum element in a binary heap can be done in O(1) time since the minimum element is always at the root.

Which of the following operations can be performed in O(1) time on a priority queue implemented with a binary heap?

Which of the following operations can be performed in O(1) time on a priority queue implemented with a binary heap?

Step 1: Understand what a binary heap is. A binary heap is a special tree structure that maintains a specific order among its elements.
Step 2: Know that in a binary heap, the minimum element (in a min-heap) is always located at the root of the tree.
Step 3: Realize that accessing the root element of the tree does not require any traversal or searching, which means it can be done very quickly.
Step 4: Conclude that retrieving the minimum element from a binary heap takes constant time, which is denoted as O(1).

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