Question: In a singly linked list, what is the time complexity of inserting a new node at the beginning?
Options:
O(1)
O(n)
O(log n)
O(n^2)
Correct Answer: O(1)
Solution:
Inserting a new node at the beginning of a singly linked list is done in constant time, O(1).
In a singly linked list, what is the time complexity of inserting a new node at
Practice Questions
Q1
In a singly linked list, what is the time complexity of inserting a new node at the beginning?
O(1)
O(n)
O(log n)
O(n^2)
Questions & Step-by-Step Solutions
In a singly linked list, what is the time complexity of inserting a new node at the beginning?
Step 1: Understand what a singly linked list is. It is a data structure where each element (node) points to the next one.
Step 2: Know that inserting a new node at the beginning means we want to add a new node before the first node.
Step 3: To insert a new node at the beginning, we create the new node and set its next pointer to the current first node.
Step 4: Then, we update the head of the list to point to the new node.
Step 5: Since we only perform a fixed number of operations (creating a node and updating pointers), this takes the same amount of time regardless of the size of the list.
Step 6: Therefore, the time complexity for this operation is constant time, which is denoted as O(1).
Time Complexity – Understanding how the time required for an operation scales with the size of the data structure.
Singly Linked List – A data structure consisting of nodes where each node points to the next node in the sequence.
Insertion Operation – The process of adding a new node to a data structure.
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