Maximum Subarray

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.

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More practice:

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

 

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 Divide and Conquer Array Dynamic Programming

 

class Solution {
public:
    int maxSubArray(int A[], int n) {
        int sum=0;
        int subsum=INT_MIN;
        for(int i=0;i<n;i++){
            sum=max(sum+A[i],A[i]);
            subsum=max(sum,subsum);
        }
        return subsum;
    }
};