Find the Maximum Sum of a Contiguous Subarray

Last updated: September 4, 2026

Quick Overview

The candidate is asked to find the maximum sum of a contiguous subarray within a given array of integers.

Omnissa
Coding & Algorithms
Software Engineer
Omnissa
September 4, 2026
Software Engineer
Onsite
Coding & Algorithms
Medium

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The candidate is asked to find the maximum sum of a contiguous subarray within a given array of integers.

This question is typically asked during the onsite coding interview round to evaluate the candidate's problem-solving skills and understanding of algorithms. The interviewer is looking for the candidate's ability to implement an efficient solution, handle edge cases, and demonstrate clean coding practices. This question also tests the candidate's knowledge of dynamic programming and array manipulation techniques.

What the Interviewer Expects
  • Explain the problem clearly and outline the approach to solve it.
  • Implement an efficient algorithm, preferably with O(n) time complexity.
  • Handle edge cases, such as empty arrays or arrays with all negative numbers.
  • Write clean, readable, and well-structured code.
  • Provide a thorough explanation of the code and its logic.
Key Topics to Cover
Dynamic Programming
Array Manipulation
Time Complexity
Edge Cases
Clean Code
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 modify your solution for a two-dimensional array?
  • Can you explain the difference between your approach and a brute-force solution?
  • What would you do if the input array could contain very large integers?
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Sample Answer
Approach

To solve the problem of finding the maximum sum of a contiguous subarray, we can use Kadane's Algorithm. This algorithm efficiently finds the maximum sum in a single pass through the array, maintainin...

Algorithm
  1. Initialize two variables: max_so_far to negative infinity and max_ending_here to 0.
  2. Iterate through each element in the array:
    • Add the current element to max_ending_here.
    • If `max...

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