What is the time complexity of enqueuing an element in a queue implemented with
Practice Questions
Q1
What is the time complexity of enqueuing an element in a queue implemented with a linked list?
O(1)
O(n)
O(log n)
O(n^2)
Questions & Step-by-Step Solutions
What is the time complexity of enqueuing an element in a queue implemented with a linked list?
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 that a linked list is a way to store elements where each element (node) points to the next one, allowing for dynamic size.
Step 3: When we want to add (enqueue) an element to the queue, we need to add it to the end of the linked list.
Step 4: To add an element to the end of the linked list, we can directly access the last node and link it to the new node. This operation does not depend on the number of elements in the queue.
Step 5: Since we can add the new element in a fixed amount of time, regardless of how many elements are already in the queue, the time complexity for enqueuing is constant time, O(1).