Validate matrix balanced

Last updated: September 9, 2025

Quick Overview

Given a matrix of parentheses, brackets, and braces, write a function to determine if the matrix is balanced. A matrix is considered balanced if every opening symbol has a corresponding closing symbol in the correct order. The function should return a boolean value indicating whether the matrix is balanced or not.

Jump Trading
Coding & Algorithms
Software Engineer
Jump Trading
September 9, 2025
Software Engineer
Take-home Project
Coding & Algorithms
Easy

1

14

4,126 solved


Given a matrix of parentheses, brackets, and braces, write a function to determine if the matrix is balanced. A matrix is considered balanced if every opening symbol has a corresponding closing symbol in the correct order. The function should return a boolean value indicating whether the matrix is balanced or not.

Coding interviews at Jump Trading 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
  • Identify the correct data structure and algorithm for the problem
  • Write clean, bug-free code with proper variable naming
  • Analyze time and space complexity correctly
  • Handle basic edge cases (empty input, single element)
  • Communicate your thought process while coding
Key Topics to Cover
Graph algorithms and traversal
Sorting and searching
Edge cases and input validation
Dynamic programming and memoization
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 solve this iteratively instead of recursively (or vice versa)?
  • What happens if the input contains duplicates?
  • Can you solve this in a single pass?
  • How would you parallelize this solution?
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Sample Answer
Problem Analysis

To determine if the given matrix of parentheses, brackets, and braces is balanced, we can utilize a stack data structure. The stack is ideal for this situation because it follows the Last In First Out...

Approach
  1. Initialize an empty stack to keep track of opening symbols.
  2. Define a mapping of closing symbols to their corresponding opening symbols for easy lookup.
  3. Iterate through each row of the mat...

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