Find longest subsequence in grid

Last updated: September 14, 2025

Quick Overview

Given a matrix, find the minimum cost efficiently using Sliding Window.

Apple
Coding & Algorithms
Software Engineer
Apple
September 14, 2025
Software Engineer
Phone Screen
Coding & Algorithms
Hard

41

3

170 solved


Given a matrix, find the minimum cost efficiently using Sliding Window.

This coding problem is frequently asked during Phone Screen at Apple. The interviewer is testing your ability to translate a problem into clean, working code while discussing time and space complexity. Apple 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
Sorting and searching
Time and space complexity analysis
Binary search and divide and conquer
Common algorithm patterns (sliding window, two pointers, BFS/DFS)
Hash maps and frequency counting
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 is the worst-case input for your solution?
  • How would your solution change if the input was sorted?
  • How would you modify your solution to handle streaming input?
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Sample Answer
Problem Analysis

This prompt is slightly under-specified, so in an interview I would first restate the concrete version I am solving: > Given an `m x n` matrix of non...

Approach

Flattening the matrix conceptually gives us a one-dimensional stream, but we do **not** need to physically create a flattened list. That would add unn...


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