In a queue implemented using an array, what is the time complexity of enqueue op

Practice Questions

Q1
In a queue implemented using an array, what is the time complexity of enqueue operation in the worst case?
  1. O(1)
  2. O(n)
  3. O(log n)
  4. O(n^2)

Questions & Step-by-Step Solutions

In a queue implemented using an array, what is the time complexity of enqueue operation in the worst case?
  • 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 in a queue implemented using an array, we add elements to the end of the queue using the enqueue operation.
  • Step 3: Realize that if the array is full, we cannot add more elements directly.
  • Step 4: When the array is full and we want to enqueue a new element, we need to create a new larger array.
  • Step 5: Copy all the existing elements from the old array to the new array. This takes time proportional to the number of elements, which is O(n).
  • Step 6: After copying, we can add the new element to the end of the new array.
  • Step 7: Therefore, in the worst case, the time complexity of the enqueue operation is O(n) because of the copying step.
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