Binary Search on graph
Last updated: July 8, 2025
Quick Overview
Apply the Binary Search algorithm on a matrix to solve this optimization problem.
Vercel
Coding & Algorithms
Software Engineer
Vercel
July 8, 2025Software Engineer
Take-home Project
Coding & Algorithms
Medium
4
3
732 solved
Apply the Binary Search algorithm on a matrix to solve this optimization problem.
Coding interviews at Vercel focus on problem-solving approach as much as the final solution. The interviewer wants to see you break down the problem, consider edge cases, and optimize iteratively. Communication throughout the process is key.
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
Binary search and divide and conquer
Graph algorithms and traversal
Sorting and searching
Common algorithm patterns (sliding window, two pointers, BFS/DFS)
Dynamic programming and memoization
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 if the input doesn't fit in memory?
- What happens if the input contains duplicates?
- How would your solution change if the input was sorted?
- Can you solve this in a single pass?
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Practice DSA ProblemsSample Answer
Problem Analysis
The problem at hand involves applying a Binary Search algorithm on a matrix. The key observation here is that the matrix can be treated as a sorted collection of elements, where the goal is to...
Approach
- Define the Search Space: Identify the minimum and maximum possible values in the matrix. For a sorted matrix, these would be the first element of the first row and the last element of the last ...
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