Find minimum cost in matrix

Last updated: July 5, 2025

Quick Overview

Given a grid, find the connected components efficiently using Dynamic Programming.

Bloomberg
Coding & Algorithms
Software Engineer
Bloomberg
July 5, 2025
Software Engineer
Take-home Project
Coding & Algorithms
Medium

118

5

1,558 solved


Given a grid, find the connected components efficiently using Dynamic Programming.

This coding problem is frequently asked during Take-home Project at Bloomberg. The interviewer is testing your ability to translate a problem into clean, working code while discussing time and space complexity. Bloomberg expects candidates to write production-quality code, not just solve the puzzle.

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
Tree structures and recursion
Binary search and divide and conquer
Time and space complexity analysis
Sorting and searching
Common algorithm patterns (sliding window, two pointers, BFS/DFS)
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
  • What if the input doesn't fit in memory?
  • How would you parallelize this solution?
  • How would you modify your solution to handle streaming input?
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