Find median in grid

Last updated: August 25, 2025

Quick Overview

Given a matrix, find the cycle efficiently using BFS.

HubSpot
Coding & Algorithms
Software Engineer
HubSpot
August 25, 2025
Software Engineer
Onsite
Coding & Algorithms
Medium

158

4

4,658 solved


Given a matrix, find the cycle efficiently using BFS.

HubSpot uses this problem in the Onsite to evaluate your algorithmic thinking. They expect you to discuss multiple approaches, analyze trade-offs between them, and implement the optimal solution with clean, readable code.

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
Dynamic programming and memoization
Binary search and divide and conquer
Sorting and searching
Data structure selection and trade-offs
Common algorithm patterns (sliding window, two pointers, BFS/DFS)
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 you parallelize this solution?
  • How would your solution change if the input was sorted?
  • Can you solve this in a single pass?
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