# LeetCode 53. Maximum Subarray

Problem:

Find the contiguous subarray within an array (containing at least one number) which has the largest sum.

For example, given the array `[−2,1,−3,4,−1,2,1,−5,4]`,
the contiguous subarray `[4,−1,2,1]` has the largest sum = `6`.

Solution:

DP

```public class Solution {
int[] end;
public int maxSubArray(int[] nums) {
end = new int[nums.length];
if (nums.length < 2) return nums[0];
end[0] = nums[0];
for (int i = 1; i < nums.length; i++) {
int connect = end[i-1] + nums[i];
int alone = nums[i];
end[i] = connect > alone ? connect : alone;
}
int max = end[0];
for (int i = 1; i < nums.length; i++) {
if (end[i] > max) max = end[i];
}
return max;
}
}
```

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