What is the time complexity of inserting a node at the beginning of a linked list?O(1)O(log n)O(n)O(n^2)
Question
What is the time complexity of inserting a node at the beginning of a linked list?
- O(1)
- O(log n)
- O(n)
- O(n^2)
Solution
To determine the time complexity of inserting a node at the beginning of a linked list, we can analyze the operation as follows:
-
Inserting at the Beginning: When inserting a new node at the beginning of a linked list, you only need to:
- Create a new node.
- Set the new node’s next pointer to point to the current head of the list.
- Update the head pointer to point to the new node.
-
Time Complexity: The operations to create a new node and update the pointers (head and next) are done in constant time regardless of the size of the linked list.
Final Answer
The time complexity of inserting a node at the beginning of a linked list is O(1).
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