What is the time complexity of enqueue and dequeue operations in a standard queu
Practice Questions
Q1
What is the time complexity of enqueue and dequeue operations in a standard queue implemented using 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 standard queue implemented using 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 what enqueue means. Enqueue is the operation of adding an element to the back of the queue.
Step 3: Know what dequeue means. Dequeue is the operation of removing an element from the front of the queue.
Step 4: 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 5: In a linked list implementation of a queue, you can add a new node at the back (enqueue) and remove a node from the front (dequeue).
Step 6: Enqueue operation: To add an element, you create a new node and link it to the last node of the list. This takes a constant amount of time, O(1).
Step 7: Dequeue operation: To remove an element, you simply unlink the first node and point the front of the queue to the next node. This also takes a constant amount of time, O(1).
Step 8: Conclude that both enqueue and dequeue operations in a queue implemented using a linked list have a time complexity of O(1).
