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Solution: Maximum Subarray

Explore how to efficiently find the maximum sum of a contiguous subarray within an unsorted array by applying Kadane's algorithm. Understand dynamic programming principles to solve this classic problem with optimal time and space complexity. This lesson guides you through the step-by-step solution, leveraging iteration and condition checks to achieve an O(n) time complexity with constant space usage.

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Statement

Given an unsorted array nums, find the sum of the maximum sum subarray. The maximum sum subarray is an array of contiguous elements in nums for which the sum of the elements is maximum.

Constraints:

  • 11 \leq nums.length 103\leq 10^3 ...