What is the time complexity of inserting a new node at the beginning of a singly linked list?Group of answer choicesO(log n)O(n^2)O(n)O(1)
Question
What is the time complexity of inserting a new node at the beginning of a singly linked list?
Group of answer choices:
- O(log n)
- O(n^2)
- O(n)
- O(1)
Solution
The time complexity of inserting a new node at the beginning of a singly linked list is O(1).
Here's why:
- In a singly linked list, we always maintain a pointer to the head of the list.
- To insert a new node at the beginning, we simply create a new node, set its 'next' pointer to the current head, and then update the head to point to the new node.
- Each of these operations takes constant time, i.e., their time complexity is O(1).
- Therefore, the overall time complexity of the operation is O(1).
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