Detect permutation in matrix

Last updated: October 24, 2025

Quick Overview

Given a matrix, determine if any of its rows or columns contain a permutation of a given target array. The function should return true if at least one permutation is found, and false otherwise. The input consists of a 2D array (matrix) and a 1D array (target), and the output is a boolean value.

ServiceNow
Coding & Algorithms
Machine Learning Engineer
ServiceNow
October 24, 2025
Machine Learning Engineer
Onsite
Coding & Algorithms
Medium

278

11

2,141 solved


Given a matrix, determine if any of its rows or columns contain a permutation of a given target array. The function should return true if at least one permutation is found, and false otherwise. The input consists of a 2D array (matrix) and a 1D array (target), and the output is a boolean value.

This coding problem is frequently asked during Onsite at ServiceNow. The interviewer is testing your ability to translate a problem into clean, working code while discussing time and space complexity. ServiceNow 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
Hash maps and frequency counting
Dynamic programming and memoization
Edge cases and input validation
Sorting and searching
Data structure selection and trade-offs
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?
  • Can you solve this in a single pass?
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Sample Answer
Problem Analysis

To determine if any row or column in the matrix contains a permutation of the target array, we can identify this as a problem that requires frequency counting. The underlying pattern is that if two se...

Approach
  1. Count frequencies of the target array: First, create a frequency dictionary for the target array. For example, if the target array is [1, 2, 2], the frequency map would be {1: 1, 2: 2}.
  2. ...

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