BFS on grid
Last updated: December 20, 2025
Quick Overview
Apply the Dynamic Programming algorithm on a grid to solve this optimization problem.
Redfin
December 20, 20258
3
2,106 solved
Apply the Dynamic Programming algorithm on a grid to solve this optimization problem.
This coding problem is frequently asked during Technical Screen at Redfin. The interviewer is testing your ability to translate a problem into clean, working code while discussing time and space complexity. Redfin expects candidates to write production-quality code, not just solve the puzzle.
What the Interviewer Expects
- Identify the correct data structure and algorithm for the problem
- Write clean, bug-free code with proper variable naming
- Analyze time and space complexity correctly
- Handle basic edge cases (empty input, single element)
- Communicate your thought process while coding
Key Topics to Cover
How to Approach This
- Clarify input constraints and edge cases before writing code.
- Walk through your approach verbally and confirm with the interviewer before coding.
- Start with a brute force solution, then optimize. Mention time and space complexity.
- Test your solution with examples, including edge cases like empty input or duplicates.
- Consider common patterns: sliding window, two pointers, hash map, BFS/DFS, dynamic programming.
Possible Follow-up Questions
- What is the worst-case input for your solution?
- How would you test this solution thoroughly?
- How would you modify your solution to handle streaming input?
- Can you optimize the space complexity of your solution?
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Practice DSA ProblemsSample Answer
Problem Analysis
In this problem, we are tasked with applying a dynamic programming approach on a grid, which suggests that we will likely be optimizing some solution based on previous computations. The grid structure...
Approach
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Initialize a DP Table: Create a DP table of the same dimensions as the grid, initialized to zero. This table will store the optimal solutions for subproblems.
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Base Case: Set the starti...
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