In a doubly linked list, what is the time complexity of inserting a new node aft

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Question: In a doubly linked list, what is the time complexity of inserting a new node after a given node?

Options:

Correct Answer: O(1)

Solution:

Inserting a new node after a given node in a doubly linked list involves changing a few pointers, which takes constant time, hence O(1).

In a doubly linked list, what is the time complexity of inserting a new node after a given node?

In a doubly linked list, what is the time complexity of inserting a new node after a given node?

Step 1: Understand what a doubly linked list is. It is a data structure where each node has a reference to both the next node and the previous node.
Step 2: Identify the node after which you want to insert the new node. Let's call this node 'current'.
Step 3: Create the new node that you want to insert.
Step 4: Change the pointers: Set the new node's next pointer to point to the node that comes after 'current'.
Step 5: Set the new node's previous pointer to point to 'current'.
Step 6: Update 'current's next pointer to point to the new node.
Step 7: If the node after 'current' is not null, update that node's previous pointer to point to the new node as well.
Step 8: Since all these pointer changes take a fixed amount of time, the time complexity for this operation is O(1).

Doubly Linked List Operations – Understanding how to manipulate pointers in a doubly linked list for insertion, deletion, and traversal.
Time Complexity Analysis – Evaluating the efficiency of operations in data structures, particularly focusing on constant time operations.