In a linked list, what is the time complexity of inserting an element at the beg

Practice Questions

Q1
In a linked list, what is the time complexity of inserting an element at the beginning?
  1. O(n)
  2. O(log n)
  3. O(1)
  4. O(n log n)

Questions & Step-by-Step Solutions

In a linked list, what is the time complexity of inserting an element at the beginning?
  • 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 of the linked list.
  • Step 3: Realize that to insert a new node at the beginning, you only need to change a few pointers: the new node points to the current first node, and then the head of the list points to the new node.
  • Step 4: Since this operation involves a fixed number of steps (changing pointers), it does not depend on the size of the linked list.
  • Step 5: Therefore, the time it takes to insert at the beginning is constant, which is represented as O(1).
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