Codepath

Skip and Remove Nodes in a Linked List

Unit 6 Session 2 (Click for link to problem statements)

Problem Highlights

  • 💡 Difficulty: Medium
  • Time to complete: 30 mins
  • 🛠️ Topics: Linked Lists, List Manipulation

1: U-nderstand

Understand what the interviewer is asking for by using test cases and questions about the problem.

  • Established a set (2-3) of test cases to verify their own solution later.
  • Established a set (1-2) of edge cases to verify their solution handles complexities.
  • Have fully understood the problem and have no clarifying questions.
  • Have you verified any Time/Space Constraints for this problem?
  • Q: What if the total nodes are fewer than m?
    • A: The list should not change as there will be no n nodes to remove after skipping m nodes.
HAPPY CASE Input: 1 -> 2 -> 3 -> 4 -> 5 -> 6, m = 2, n = 2 Output: 1 -> 2 -> 5 -> 6 Explanation: First 2 nodes are kept, next 2 nodes are removed, and the remaining nodes are kept. EDGE CASE Input: 1 -> 2 -> 3, m = 4, n = 1 Output: 1 -> 2 -> 3 Explanation: As `m` is larger than the total number of nodes, no nodes are deleted.

2: M-atch

Match what this problem looks like to known categories of problems, e.g. Linked List or Dynamic Programming, and strategies or patterns in those categories.

This problem involves modifying a linked list by skipping certain nodes and removing others, using pointer manipulation without extra space.

3: P-lan

Plan the solution with appropriate visualizations and pseudocode.

General Idea: Traverse the list, skip m nodes, then remove n nodes. Repeat the pattern until the end of the list.

1) Use a pointer to traverse the list. 2) Skip `m` nodes, ensuring the pointer does not reach the end of the list prematurely. 3) Remove `n` nodes, adjusting pointers to bypass them. 4) Repeat until the end of the list is reached. 5) Return the head of the modified list.

⚠️ Common Mistakes

  • Incorrectly counting nodes during the skip and remove phases.
  • Failing to handle cases where m or n exceeds the number of remaining nodes.

4: I-mplement

Implement the code to solve the algorithm.

def skip_and_remove(head, m, n): current = head while current: # Skip m nodes for i in range(1, m): if current is None: return head current = current.next # Now current is the last node before the n nodes to delete if current is None: return head # Start deletion of next n nodes temp = current for j in range(n): if temp.next is None: break temp = temp.next # Connect the current node to the node after the N deleted nodes if current and temp.next: current.next = temp.next current = temp.next return head

5: R-eview

Review the code by running specific example(s) and recording values (watchlist) of your code's variables along the way.

  • Test with multiple configurations of m and n to ensure nodes are correctly skipped and removed.
  • Validate with lists shorter than m to see that no changes are made.

6: E-valuate

Evaluate the performance of your algorithm and state any strong/weak or future potential work.

  • Time Complexity: O(n) where n is the total number of nodes in the list. Each node is processed up to once.
  • Space Complexity: O(1) because no additional space is used; modifications are done in-place.
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