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 max-heap?
  1. Insert
  2. Delete Max
  3. Get Max
  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 max-heap?
  • Step 1: Understand what a max-heap is. A max-heap is a special tree structure where the parent node is always greater than or equal to its child nodes.
  • Step 2: Identify where the maximum element is located in a max-heap. The maximum element is always at the root of the heap.
  • Step 3: Realize that accessing the root of the heap does not require any traversal or searching. You can directly access it.
  • Step 4: Conclude that since accessing the root is a direct operation, it can be done in O(1) time.
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