Medium
DoorDash

Maximum Sum Contiguous Subarray Coding / DSA Interview

Given a non-empty list of integers, find the maximum sum of any contiguous non-empty subarray, with follow-up discussion of returning indices and handling a streaming variant.

1. Problem Statement

Given a non-empty list of integers, find the maximum sum of any contiguous non-empty subarray. The list has at most 100000 elements, and each value is between -10000 and 10000 inclusive. Start with any clarifying questions.

2. Live Coding Format

Work in the provided coding workspace while explaining your decisions to the live interviewer. Validation may use inline tests, examples, comments, or a verbal walkthrough.

3. Key Focus Areas

  • 1
    Contract clarification (non-empty input, non-empty subarray, all-negative)
  • 2
    Linear-scan approach and invariant
  • 3
    Implementation correctness
  • 4
    Follow-up: index tracking
  • 5
    Streaming discussion

4. What Strong Candidates Should Demonstrate

  • Clarify the contract: must the subarray be non-empty, and how are all-negative inputs handled?
  • Explain the linear-scan (Kadane's) approach before coding and identify why it is O(n).
  • Implement correctly, tracking the current running sum and the best seen so far.
  • Follow up: return the start and end indices of the maximum subarray, not just the sum.

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Core Concepts

Dynamic ProgrammingArraysKadane's Algorithm

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