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

Practice Questions

Q1
Which of the following operations can be performed in O(1) time on a priority queue implemented with a binary heap?
  1. Insert
  2. Delete Min
  3. Get Min
  4. Decrease Key

Questions & Step-by-Step Solutions

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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