A queue is implemented using an array such that ENQUEUE and DEQUEUE operations are performed efficiently. Which one of the following statements is CORRECT (n refers to the number of items in the queue)? [GATE CSE 2016]Question 4Answera.Both operations can be performed in O(1) timeb.Worst case time complexity for both operations will be Ω(log n)c.The worst-case time complexity for both operations will be Ωd.At most one operation can be performed on O(1) time but the worst-case time for the other operation will be Ω
Question
A queue is implemented using an array such that ENQUEUE and DEQUEUE operations are performed efficiently. Which one of the following statements is CORRECT (n refers to the number of items in the queue)? [GATE CSE 2016]Question 4Answera.Both operations can be performed in O(1) timeb.Worst case time complexity for both operations will be Ω(log n)c.The worst-case time complexity for both operations will be Ωd.At most one operation can be performed on O(1) time but the worst-case time for the other operation will be Ω
Solution
The correct statement is a. Both operations can be performed in O(1) time.
Here's why:
In a queue implemented using an array, we typically maintain two pointers: one for the front of the queue and one for the rear.
When we perform an ENQUEUE operation (adding an item to the rear of the queue), we simply place the item at the position pointed to by the rear pointer and then increment the rear pointer. This operation is O(1) because it involves a constant amount of work.
Similarly, when we perform a DEQUEUE operation (removing an item from the front of the queue), we simply return the item at the position pointed to by the front pointer and then increment the front pointer. This operation is also O(1) because it too involves a constant amount of work.
Therefore, both ENQUEUE and DEQUEUE operations can be performed in O(1) time.
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