Web Reference: Jul 22, 2025 · The idea of Kadane's algorithm is to traverse over the array from left to right and for each element, find the maximum sum among all subarrays ending at that element. The result will be the maximum of all these values. Although this problem can be solved using several different algorithmic techniques, including brute force, [2] divide and conquer, [3] dynamic programming, [4] and reduction to shortest paths, a simple single-pass algorithm known as Kadane's algorithm solves it efficiently. Kadane's Algorithm is a form of Dynamic Programming developed by Joseph Born Kadane which provides an optimal solution for the Maximum Subarray Problem. The Maximum Subarray Problem is to find the largest sum of a contiguous subarray in an input array of size n.
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Estimated Worth: $66M - $86M

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Last Updated: April 7, 2026

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