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Maximum Subarray (Kadane's Algorithm) for AI/FDE (Forward Deployed Engineer) — Interview Guide

How to approach Maximum Subarray (Kadane's Algorithm) as a AI/FDE (Forward Deployed Engineer): the optimal approach, what AI/FDE (Forward Deployed Engineer) interviewers evaluate, and role-specific tips.

Updated 2026-09MediumDynamic Programming

The problem for a AI/FDE (Forward Deployed Engineer)

Given an integer array, find the contiguous subarray with the largest sum and return that sum.

As a AI/FDE (Forward Deployed Engineer), interviewers expect you to not only solve the problem but also demonstrate customer-facing ai integration and rapid delivery. Be ready to discuss trade-offs and production concerns relevant to the role.

Key concepts

Kadane: at each index, the best subarray ending here is either the element alone or the element plus the best ending at the previous index.
Track the running sum, reset to 0 when it goes negative, and keep the global maximum.
Divide-and-conquer gives O(n log n) and generalizes to 2D problems.

Approach

def max_subarray(nums):
    best = cur = nums[0]
    for x in nums[1:]:
        cur = max(x, cur + x)
        best = max(best, cur)
    return best

What a AI/FDE (Forward Deployed Engineer) is evaluated on

Moving fast on an ambiguous, customer-defined problem.
Debugging across unfamiliar systems and data.
Choosing the simplest thing that works for the customer.
Communication and ownership in high-trust customer settings.

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