What is the worst-case time complexity of insertion in a linked list?

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Question: What is the worst-case time complexity of insertion in a linked list?

Options:

Correct Answer: O(n)

Solution:

Inserting an element in a linked list can take O(n) time in the worst case if the position is at the end and traversal is required.

What is the worst-case time complexity of insertion in a linked list?

What is the worst-case time complexity of insertion in a linked list?

Step 1: Understand what a linked list is. A linked list is a data structure where each element (node) points to the next one.
Step 2: Know that to insert an element, you need to find the right position in the list.
Step 3: If you want to insert at the end of the linked list, you have to start from the beginning and go through each node until you reach the last one.
Step 4: This means you may have to look at every node in the list, which takes time proportional to the number of nodes.
Step 5: If there are 'n' nodes in the linked list, it can take up to 'n' steps to find the end.
Step 6: Therefore, the worst-case time complexity for inserting at the end of a linked list is O(n).

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