Algorithm Interview Question: Find Maximum Subarray Sum

When given an array of integers, the task is to find the maximum subarray sum within the array. This problem is a classic example of dynamic programming and can be solved using the Kadane's algorithm.

Kadane's Algorithm

The Kadane's algorithm uses a dynamic programming approach to find the maximum subarray sum. The algorithm iterates through the array and keeps track of the current subarray sum. It also updates the maximum subarray sum seen so far.

Here is a pseudo-code implementation of Kadane's algorithm:

function maxSubArray(arr):
    max_sum = arr[0]
    current_sum = arr[0]

    for i from 1 to length of arr:
        current_sum = max(arr[i], current_sum + arr[i])
        max_sum = max(max_sum, current_sum)

    return max_sum

By using Kadane's algorithm, you can efficiently find the maximum subarray sum within the given array of integers.