动态规划:
动态转移方程:F[i] = max(a[i], F[i-1]+a[i])

class Solution {
public:
    int maxsumofSubarray(vector<int>& arr) {
        vector<int> F(arr);
        F[0] = arr[0]>0?arr[0]:0;
        for(int i=1; i<arr.size(); ++i)
            F[i] = max(arr[i], F[i-1]+arr[i]);

        int max_res = INT_MIN;
        for(int i=0; i<arr.size(); ++i)
            max_res = max_res<F[i]?F[i]:max_res;
        return max_res;
    }
};