Find kth largest element in array

Last updated: October 27, 2025

Quick Overview

Given an unsorted array of integers, write a function to find the kth largest element in the array. The function should take the array and an integer k as input and return the kth largest element. You may assume that k is always valid, and the array has at least k elements.

Doordash
Coding & Algorithms
Software Engineer
Doordash
October 27, 2025
Software Engineer
Onsite
Coding & Algorithms
Medium

14

15

3,423 solved


Given an unsorted array of integers, write a function to find the kth largest element in the array. The function should take the array and an integer k as input and return the kth largest element. You may assume that k is always valid, and the array has at least k elements.

This coding problem is frequently asked during Onsite at Doordash. The interviewer is testing your ability to translate a problem into clean, working code while discussing time and space complexity. Doordash 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
Sorting and searching
Binary search and divide and conquer
Time and space complexity analysis
Edge cases and input validation
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
  • Can you optimize the space complexity of your solution?
  • How would you parallelize this solution?
  • Can you solve this in a single pass?
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Problem Analysis

The problem of finding the kth largest element in an unsorted array can be efficiently solved using the Quickselect algorithm, which is a variation of the QuickSort. This approach is suitable because ...

Approach
  1. Choose a Pivot: We can choose a pivot randomly from the array.
  2. Partition the Array: Rearrange the elements such that all elements greater than the pivot are on one side, and all elements...

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