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Find shortest path using BFS

Last updated: Mar 29, 2026

Quick Overview

This question evaluates a candidate's proficiency with graph traversal algorithms—particularly breadth-first search—and the ability to model grid-based shortest-path problems while reasoning about time and space complexity.

  • Medium
  • MathWorks
  • Coding & Algorithms
  • Software Engineer

Find shortest path using BFS

Company: MathWorks

Role: Software Engineer

Category: Coding & Algorithms

Difficulty: Medium

Interview Round: Take-home Project

Given an m×n grid grid where grid[r][c] = 0 represents an empty cell and 1 represents a wall, a start cell (sr, sc), and a target cell (tr, tc), you may move one step at a time in four directions (up, down, left, right) into empty cells only. Return the length of the shortest path from start to target or -1 if no path exists. Describe the algorithm and its time/space complexity, and implement it in C++/Java/JavaScript.

Quick Answer: This question evaluates a candidate's proficiency with graph traversal algorithms—particularly breadth-first search—and the ability to model grid-based shortest-path problems while reasoning about time and space complexity.

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MathWorks
Sep 6, 2025, 12:00 AM
Software Engineer
Take-home Project
Coding & Algorithms
1
0

Given an m×n grid grid where grid[r][c] = 0 represents an empty cell and 1 represents a wall, a start cell (sr, sc), and a target cell (tr, tc), you may move one step at a time in four directions (up, down, left, right) into empty cells only. Return the length of the shortest path from start to target or -1 if no path exists. Describe the algorithm and its time/space complexity, and implement it in C++/Java/JavaScript.

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