Kadanes
Kadane's algorithm is a dynamic programming technique for finding the maximum sum of a contiguous subarray within a one-dimensional array of numbers. It answers the common maximum subarray problem, which seeks the largest possible sum that can be obtained by summing a consecutive block of elements.
The standard approach processes the array from left to right while maintaining two values: the best sum
Implementation notes include handling all-negative arrays. By initializing current and best with the first element (or
Extensions of the idea include variations that return the indices, handle ties, or adapt to two-dimensional
Applications span finance, data analysis, signal processing, and pattern recognition, where identifying the most significant consecutive