Count kth largest element in matrix

Last updated: March 2, 2026

Quick Overview

Given a 2D matrix of integers, write a function to find the kth largest element in the matrix. The function should take the matrix and an integer k as inputs and return the kth largest element as output. The matrix is guaranteed to have at least k elements.

Confluent
Coding & Algorithms
Software Engineer
Confluent
March 2, 2026
Software Engineer
Technical Screen
Coding & Algorithms
Medium

24

5

3,808 solved


Given a 2D matrix of integers, write a function to find the kth largest element in the matrix. The function should take the matrix and an integer k as inputs and return the kth largest element as output. The matrix is guaranteed to have at least k elements.

Confluent uses this problem in the Technical Screen to evaluate your algorithmic thinking. They expect you to discuss multiple approaches, analyze trade-offs between them, and implement the optimal solution with clean, readable code.

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
Edge cases and input validation
Sorting and searching
Dynamic programming and memoization
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
  • How would you test this solution thoroughly?
  • What happens if the input contains duplicates?
  • How would you modify your solution to handle streaming input?
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Sample Answer
Problem Analysis

To solve the problem of finding the kth largest element in a 2D matrix, we can recognize that the matrix can be treated as a single sorted list if we consider the values across rows and columns. The k...

Approach
  1. Create a Min Heap: Initialize a min heap to store the top k largest elements.
  2. Iterate Through the Matrix: Loop through each element in the matrix:
    • If the size of the heap is less th...

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