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Description

Given an integer array nums, find the contiguous subarray (containing at least one number) which has the largest sum and return its sum.

Example:

Input: [-2,1,-3,4,-1,2,1,-5,4],

Output: 6

Explanation: [4,-1,2,1] has the largest sum = 6.

Follow up:

If you have figured out the O(n) solution, try coding another solution using the divide and conquer approach, which is more subtle.

Solutions

Python3

class Solution:
    def maxSubArray(self, nums: List[int]) -> int:
        n = len(nums)
        res = f = nums[0]
        for i in range(1, n):
            f = nums[i] + max(f, 0)
            res = max(res, f)
        return res

Java

class Solution {
    public int maxSubArray(int[] nums) {
        int f = nums[0], res = nums[0];
        for (int i = 1, n = nums.length; i < n; ++i) {
            f = nums[i] + Math.max(f, 0);
            res = Math.max(res, f);
        }
        return res;
    }
}

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