What is the time complexity of enqueueing an element in a queue implemented with

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Question: What is the time complexity of enqueueing an element in a queue implemented with a linked list?

Options:

Correct Answer: O(1)

Solution:

Enqueueing an element in a queue implemented with a linked list is done in constant time, O(1), by adding the element to the end of the list.

What is the time complexity of enqueueing an element in a queue implemented with a linked list?

What is the time complexity of enqueueing an element in a queue implemented with a linked list?

Step 1: Understand what enqueueing means. Enqueueing is the process of adding an element to the queue.
Step 2: Know that a queue can be implemented using a linked list. A linked list consists of nodes where each node contains data and a reference to the next node.
Step 3: Identify where to add the new element. In a queue, we add the new element at the end (tail) of the linked list.
Step 4: Realize that to add an element at the end of a linked list, we can directly access the tail node and link it to the new node.
Step 5: Understand that this operation does not depend on the number of elements in the queue. It takes the same amount of time regardless of the queue size.
Step 6: Conclude that the time complexity for enqueueing an element in a queue implemented with a linked list is O(1), which means it takes constant time.

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