What is the worst-case time complexity for enqueue and dequeue operations in a q
Practice Questions
Q1
What is the worst-case time complexity for enqueue and dequeue operations in a queue implemented using a linked list?
O(1)
O(n)
O(log n)
O(n^2)
Questions & Step-by-Step Solutions
What is the worst-case time complexity for enqueue and dequeue operations in a 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 that a linked list is a way to store data where each element (node) points to the next one, allowing for dynamic memory allocation.
Step 3: Learn about the enqueue operation. Enqueue means adding an element to the end of the queue.
Step 4: In a linked list, to enqueue, you can simply create a new node and link it to the last node of the list. This takes a constant amount of time, O(1).
Step 5: Understand the dequeue operation. Dequeue means removing an element from the front of the queue.
Step 6: In a linked list, to dequeue, you can remove the first node and point the head of the list to the next node. This also takes a constant amount of time, O(1).
Step 7: Conclude that both enqueue and dequeue operations can be done in constant time, O(1), when using a linked list.
