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 circular array?
O(1)
O(n)
O(log n)
O(n^2)
Questions & Step-by-Step Solutions
What is the time complexity of dequeuing an element from a queue implemented using a circular array?
Step 1: Understand what a queue is. A queue is a data structure that follows the First In First Out (FIFO) principle, meaning the first element added is the first one to be removed.
Step 2: Know what a circular array is. A circular array is a way to use an array in a circular manner, where the end of the array connects back to the beginning.
Step 3: Identify the operation of dequeuing. Dequeuing means removing an element from the front of the queue.
Step 4: Realize that in a circular array, we keep track of the front index, which tells us where the first element is located.
Step 5: When we dequeue an element, we simply move the front index to the next position in the array.
Step 6: Understand that moving the front index is a simple operation that takes the same amount of time, regardless of the size of the queue.
Step 7: Conclude that this operation is done in constant time, which is denoted as O(1).
