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Maximum Subarray

MEDIUMArrays Strings

Given an integer array nums, find the subarray with the largest sum, and return its sum.

A subarray is a contiguous non-empty sequence of elements within an array.

Examples

Example 1

Input: nums = [-2,1,-3,4,-1,2,1,-5,4]
Output: 6

The subarray [4,-1,2,1] has the largest sum 6.

Example 2

Input: nums = [1]
Output: 1

The subarray [1] has the largest sum 1.

Example 3

Input: nums = [5,4,-1,7,8]
Output: 23

The subarray [5,4,-1,7,8] has the largest sum 23.

Constraints

  • 1 <= nums.length <= 10^5
  • -10^4 <= nums[i] <= 10^4

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