Find connected components in linked list

Last updated: December 24, 2025

Quick Overview

Given a linked list where each node may point to other nodes, implement a function to identify and return all connected components in the list. Each connected component is defined as a subset of nodes where each node is reachable from any other node in that subset. The output should be a list of lists, where each inner list contains the nodes of a connected component.

Citadel
Coding & Algorithms
Software Engineer
Citadel
December 24, 2025
Software Engineer
Take-home Project
Coding & Algorithms
Medium

110

13

1,091 solved


Given a linked list where each node may point to other nodes, implement a function to identify and return all connected components in the list. Each connected component is defined as a subset of nodes where each node is reachable from any other node in that subset. The output should be a list of lists, where each inner list contains the nodes of a connected component.

Coding interviews at Citadel focus on problem-solving approach as much as the final solution. The interviewer wants to see you break down the problem, consider edge cases, and optimize iteratively. Communication throughout the process is key.

What the Interviewer Expects
  • Recognize the underlying problem pattern (sliding window, two pointers, BFS/DFS, etc.)
  • Discuss multiple approaches and trade-offs before coding
  • Implement an optimal solution with clean, production-quality code
  • Handle all edge cases including boundary conditions and invalid input
  • Optimize both time and space complexity with clear justification
  • Test your solution systematically with well-chosen examples
Key Topics to Cover
Binary search and divide and conquer
Graph algorithms and traversal
Data structure selection and trade-offs
Dynamic programming and memoization
Edge cases and input validation
How to Approach This
  1. Clarify input constraints and edge cases before writing code.
  2. Walk through your approach verbally and confirm with the interviewer before coding.
  3. Start with a brute force solution, then optimize. Mention time and space complexity.
  4. Test your solution with examples, including edge cases like empty input or duplicates.
  5. Consider common patterns: sliding window, two pointers, hash map, BFS/DFS, dynamic programming.
Possible Follow-up Questions
  • How would your solution change if the input was sorted?
  • Can you solve this in a single pass?
  • How would you modify your solution to handle streaming input?
  • How would you test this solution thoroughly?
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Sample Answer
Problem Analysis

In this problem, we need to identify connected components in a linked list where nodes can have arbitrary links to other nodes. This can be visualized as a graph where each node is a vertex and the li...

Approach
  1. Construct the Graph: Since each node can point to other nodes, we will represent the linked list as a graph using a dictionary to map each node to its neighbors.
  2. DFS Traversal: For each...

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