In a circular queue implemented using an array, what is the time complexity of t

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Question: In a circular queue implemented using an array, what is the time complexity of the enqueue operation?

Options:

Correct Answer: O(1)

Solution:

The enqueue operation in a circular queue can be performed in constant time O(1) as long as there is space available.

In a circular queue implemented using an array, what is the time complexity of the enqueue operation?

In a circular queue implemented using an array, what is the time complexity of the enqueue operation?

Step 1: Understand what a circular queue is. It is a data structure that uses an array in a circular manner to store elements.
Step 2: Know what the enqueue operation is. Enqueue means adding an element to the queue.
Step 3: In a circular queue, when you add an element, you simply place it at the next available position in the array.
Step 4: Check if there is space available in the queue. If there is space, you can add the element.
Step 5: Since adding an element involves just updating the index and placing the element, it takes a fixed amount of time.
Step 6: Therefore, the time complexity for the enqueue operation is O(1), which means it takes constant time.

Circular Queue – A circular queue is a linear data structure that follows the FIFO principle but connects the end of the queue back to the front, allowing efficient use of space.
Time Complexity – Time complexity measures the amount of time an algorithm takes to complete as a function of the length of the input.
Enqueue Operation – The enqueue operation adds an element to the back of the queue, which in a circular queue can be done in constant time if there is space.