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The maximum subarray problem is the task of finding the contiguous subarray within a one-dimensional array, a[1...n], of numbers which has the largest sum, where,
The list usually contains both positive and negative numbers along with 0. For example, for the array of values −2, 1, −3, 4, −1, 2, 1, −5, 4 the contiguous subarray with the largest sum is 4, −1, 2, 1, with sum 6.