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?
  1. O(1)
  2. O(n)
  3. O(log n)
  4. 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).
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