Delete Node in a Linked List (O(1) trick)

Data Structures
Easy
Google
37.2K views

Given only a reference to the node that is to be deleted in a singly linked list (not the head), delete the node. This is an $O(1)$ constant time operation.

Why Interviewers Ask This

Google interviewers ask this question to evaluate a candidate's ability to think outside standard algorithmic patterns and their understanding of memory manipulation constraints. It tests whether you can recognize that deleting a node without a head pointer requires copying data rather than adjusting pointers, revealing your depth in Data Structures fundamentals and problem-solving creativity under strict time complexity requirements.

How to Answer This Question

1. Clarify Constraints: Immediately confirm that you only have access to the target node and cannot traverse from the head, which makes traditional deletion impossible. 2. Propose the O(1) Strategy: Explain the 'copy-and-skip' technique where you copy the next node's value into the current node and then bypass the next node by updating the current node's next pointer. 3. Address Edge Cases: Explicitly discuss the limitation where this method fails if the node to be deleted is the tail, noting that true deletion is impossible in O(1) for the last node without a previous reference. 4. Walk Through Logic: Verbally trace the pointer changes using a concrete example list (e.g., 1->2->3->4) to demonstrate how the node effectively vanishes from the sequence. 5. Analyze Complexity: Conclude by confirming the time complexity is O(1) and space complexity is O(1), aligning with Google's focus on efficiency and rigorous analysis.

Key Points to Cover

  • Recognizing the impossibility of standard pointer adjustment without a head reference
  • Implementing the 'copy-next-value-and-skip' pattern correctly
  • Identifying and explaining the tail node edge case limitation
  • Maintaining strict O(1) time and space complexity throughout the solution
  • Demonstrating clear communication of pointer manipulation logic

Sample Answer

To solve this efficiently in constant time without access to the head, I would use the 'copy-and-skip' approach. Since we cannot update the previous node's pointer to skip the current one, we simulate deletion by overwriting the current node's data with the data from the next node. Once the current node holds the next node's value, we simply redirect the current node's next pointer to point to the node after the next one, effectively removing the original next node from the chain. For example, consider a list 1 -> 2 -> 3 -> 4 where we need to delete node 2. We copy the value 3 into node 2, making it 1 -> 3 -> 3 -> 4. Then, we update node 2's next pointer to skip the second 3, pointing directly to 4. The result is 1 -> 3 -> 4, achieving the desired outcome in O(1) time. However, I must highlight a critical edge case: if the node to be deleted is the tail, this approach fails because there is no next node to copy from. In that specific scenario, we would technically need to traverse back or mark the node as invalid, but since the problem guarantees an O(1) solution, we assume the input node is not the tail. This technique demonstrates deep knowledge of linked list mechanics and the trade-offs involved when pointer references are restricted.

Common Mistakes to Avoid

  • Attempting to traverse from the head to find the previous node, violating the problem constraint of only having the target node reference
  • Failing to mention that the solution does not work for the last node in the list, showing incomplete edge case analysis
  • Confusing the operation with doubly-linked list deletion, which allows backward traversal to adjust pointers
  • Not explicitly stating why the time complexity remains constant despite the unusual logic

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