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Maximum Subarray
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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.
Example 1:
Input: nums = [-2,1,-3,4,-1,2,1,-5,4]
Output: 6
Explanation: The subarray [4,-1,2,1] has the largest sum 6.
Example 2:
Input: nums = [1]
Output: 1
Explanation: The subarray [1] has the largest sum 1.
Example 3:
Input: nums = [5,4,-1,7,8]
Output: 23
Explanation: The subarray [5,4,-1,7,8] has the largest sum 23.
Examples
Example 1
Input: nums = [-2,1,-3,4,-1,2,1,-5,4]
Output: 6
Explanation: The subarray [4,-1,2,1] has the largest sum 6.
Example 2
Input: nums = [1]
Output: 1
Explanation: The subarray [1] has the largest sum 1.
Example 3
Input: nums = [5,4,-1,7,8]
Output: 23
Explanation: The subarray [5,4,-1,7,8] has the largest sum 23.
Constraints
- -1 <= nums.length <= 10^5
- --10^4 <= nums[i] <= 10^4
Optimal Complexity
Time
O(n)
Space
O(1)
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