What is the time complexity of enqueue and dequeue operations in a queue impleme
Practice Questions
Q1
What is the time complexity of enqueue and dequeue operations in a queue implemented with a linked list?
O(1)
O(n)
O(log n)
O(n log n)
Questions & Step-by-Step Solutions
What is the time complexity of enqueue and dequeue operations 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 the two main operations of a queue: enqueue (adding an element) and dequeue (removing an element).
Step 3: Learn about linked lists. A linked list is a data structure where each element (node) points to the next one, allowing for dynamic memory allocation.
Step 4: In a linked list implementation of a queue, the enqueue operation adds a new node at the end of the list. This can be done in constant time, O(1), because you can directly access the end of the list.
Step 5: The dequeue operation removes the node at the front of the list. This can also be done in constant time, O(1), because you can directly access the front of the list.
Step 6: Since both operations (enqueue and dequeue) can be performed in constant time, we conclude that the time complexity for both operations is O(1).