BFS on array

Last updated: November 21, 2025

Quick Overview

Apply the Sliding Window algorithm on a grid to solve this optimization problem.

Robinhood
Coding & Algorithms
Machine Learning Engineer
Robinhood
November 21, 2025
Machine Learning Engineer
Phone Screen
Coding & Algorithms
Hard

25

14

4,231 solved


Apply the Sliding Window algorithm on a grid to solve this optimization problem.

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

What the Interviewer Expects
  • Quickly identify the optimal approach and its theoretical basis
  • Handle complex algorithm design with multiple interacting components
  • Write concise, elegant code under time pressure
  • Prove correctness of your approach and discuss alternative solutions
  • Optimize beyond the obvious: discuss constant factor improvements
  • Address follow-up variations and explain how the solution generalizes
Key Topics to Cover
Dynamic programming and memoization
Time and space complexity analysis
Edge cases and input validation
Tree structures and recursion
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 happens if the input contains duplicates?
  • How would your solution change if the input was sorted?
  • What if the input doesn't fit in memory?
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