In a doubly linked list, what is the time complexity of inserting a new node aft

Practice Questions

Q1
In a doubly linked list, what is the time complexity of inserting a new node after a given node?
  1. O(1)
  2. O(n)
  3. O(log n)
  4. O(n^2)

Questions & Step-by-Step Solutions

In a doubly linked list, what is the time complexity of inserting a new node after a given node?
  • Step 1: Understand what a doubly linked list is. It is a data structure where each node has a reference to both the next node and the previous node.
  • Step 2: Identify the node after which you want to insert the new node. Let's call this node 'current'.
  • Step 3: Create the new node that you want to insert.
  • Step 4: Change the pointers: Set the new node's next pointer to point to the node that comes after 'current'.
  • Step 5: Set the new node's previous pointer to point to 'current'.
  • Step 6: Update 'current's next pointer to point to the new node.
  • Step 7: If the node after 'current' is not null, update that node's previous pointer to point to the new node as well.
  • Step 8: Since all these pointer changes take a fixed amount of time, the time complexity for this operation is O(1).
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