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. The key concept in Kadane's Algorithm is "localMaxSum," which represents the maximum sum of a contiguous subarray ending at a specific index. By keeping track of this "local" maximum, we can efficiently find the "global" maximum sum across the entire array.
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