Detect permutation in matrix

Last updated: April 25, 2026

Quick Overview

Given a matrix of integers, determine if any of its rows or columns contain a permutation of a specified target array. The function should return true if a permutation exists and false otherwise. The input will consist of the matrix dimensions, the matrix itself, and the target array, while the output should be a boolean value indicating the presence of the permutation.

SpaceX
Coding & Algorithms
Software Engineer
SpaceX
April 25, 2026
Software Engineer
Take-home Project
Coding & Algorithms
Medium

25

11

4,334 solved


Given a matrix of integers, determine if any of its rows or columns contain a permutation of a specified target array. The function should return true if a permutation exists and false otherwise. The input will consist of the matrix dimensions, the matrix itself, and the target array, while the output should be a boolean value indicating the presence of the permutation.

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

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
Data structure selection and trade-offs
Time and space complexity analysis
Edge cases and input validation
Tree structures and recursion
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
  • Can you optimize the space complexity of your solution?
  • What happens if the input contains duplicates?
  • How would you modify your solution to handle streaming input?
  • Can you solve this iteratively instead of recursively (or vice versa)?
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Sample Answer
Problem Analysis

The problem requires us to determine if any row or column in a given matrix contains a permutation of a specified target array. A permutation means that the elements of the target array can appear in ...

Approach
  1. Count Target Elements: First, we will create a frequency dictionary (or hashmap) of the target array elements.

  2. Check Rows: For each row in the matrix, we will create a frequency diction...


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