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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 choicesO(n)O(1)O(log n)O(n^2)

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Solution

The time complexity of inserting a new node at the beginning of a singly linked list is O(1).

Here's why:

  1. In a singly linked list, we always maintain a pointer to the head of the list.
  2. To insert a new node at the beginning, we simply create a new node, set its 'next' pointer to the current head of the list.
  3. Then, we update the head pointer to point to the new node.
  4. Each of these operations is a constant time operation, i.e., their time complexity is O(1).
  5. Therefore, the overall time complexity of the insertion operation at the beginning of a singly linked list is O(1).

This problem has been solved

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