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What is the time complexity of dequeuing an element from a queue implemented usi

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Question: What is the time complexity of dequeuing an element from a queue implemented using a linked list?

Options:

  1. O(1)
  2. O(n)
  3. O(log n)
  4. O(n log n)

Correct Answer: O(1)

Solution:

Dequeuing from a queue implemented with a linked list is O(1) as it involves removing the head node.

What is the time complexity of dequeuing an element from a queue implemented usi

Practice Questions

Q1
What is the time complexity of dequeuing an element from a queue implemented using a linked list?
  1. O(1)
  2. O(n)
  3. O(log n)
  4. O(n log n)

Questions & Step-by-Step Solutions

What is the time complexity of dequeuing an element from a queue implemented using a linked list?
  • Step 1: Understand what a queue is. A queue is a data structure that follows the First In First Out (FIFO) principle.
  • Step 2: Know that a queue can be implemented using a linked list. In this implementation, each element (node) points to the next one.
  • Step 3: Identify what 'dequeuing' means. Dequeuing is the process of removing an element from the front of the queue.
  • Step 4: Recognize that in a linked list, the front of the queue is represented by the head node.
  • Step 5: Understand that to dequeue, you simply need to remove the head node and update the head pointer to the next node.
  • Step 6: Realize that this operation (removing the head node) does not depend on the number of elements in the queue.
  • Step 7: Conclude that since removing the head node takes a constant amount of time, the time complexity for dequeuing is O(1).
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