What is the time complexity of inserting a new node at the beginning of a singly linked list?Group of answer choicesO(n)O(1)O(log n)O(n^2)
Question
What is the time complexity of inserting a new node at the beginning of a singly linked list?
Group of answer choices
- O(n)
- O(1)
- O(log n)
- O(n^2)
Solution
The time complexity of inserting a new node at the beginning of a singly linked list is O(1).
Here's why:
Step 1: Create a new node. This operation takes constant time, O(1).
Step 2: Point the new node to the current head of the linked list. This operation also takes constant time, O(1).
Step 3: Update the head of the linked list to be the new node. This operation takes constant time, O(1).
Since all these operations take constant time, the overall time complexity is O(1). This means that no matter how long the list is, inserting a new node at the beginning always takes the same amount of time.
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