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What is the average time complexity for inserting an element at the beginning of

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Question: What is the average time complexity for inserting an element at the beginning of a linked list?

Options:

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

Correct Answer: O(1)

Solution:

Inserting an element at the beginning of a linked list is done in constant time, O(1).

What is the average time complexity for inserting an element at the beginning of

Practice Questions

Q1
What is the average time complexity for inserting an element at the beginning of a linked list?
  1. O(1)
  2. O(n)
  3. O(log n)
  4. O(n^2)

Questions & Step-by-Step Solutions

What is the average time complexity for inserting an element at the beginning of a linked list?
  • Step 1: Understand what a linked list is. A linked list is a data structure where each element (node) points to the next one.
  • Step 2: Know that inserting an element at the beginning means adding a new node before the first node.
  • Step 3: Realize that to insert a new node at the beginning, you only need to change a few pointers.
  • Step 4: Identify that this operation does not depend on the number of elements in the list.
  • Step 5: Conclude that since the time taken to insert is constant, the time complexity is O(1).
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