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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 an array?
  1. O(1)
  2. O(n)
  3. O(log n)
  4. O(n^2)

Questions & Step-by-Step Solutions

What is the time complexity of dequeuing an element from a queue implemented using an array?
  • Step 1: Understand what 'dequeuing' means. Dequeuing is the process of removing an element from the front of a queue.
  • Step 2: Know that a queue can be implemented using an array. This means the elements are stored in a list format.
  • Step 3: When you remove the front element from the queue, the next element in the array needs to move to the front position.
  • Step 4: If there are 'n' elements in the queue, after removing the front element, you have to shift all 'n-1' elements one position to the left.
  • Step 5: Shifting 'n-1' elements takes time proportional to 'n', which is O(n) time complexity.
  • Step 6: Therefore, the time complexity of dequeuing an element from a queue implemented using an array is O(n).
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