Problem:
Maximum Sum Sequence

Given a sequence of numbers a1, a2, a3, ..., an, find the maximum sum of a contiguous subsequence of those numbers. Note that, a subsequence of one element is also a contiquous subsequence.

Input

The input consists of multiple datasets. Each data set consists of:

n
a1
a2
.
.
an

You can assume that 1 ≤ n ≤ 5000 and -100000 ≤ ai ≤ 100000.

The input end with a line consisting of a single 0.

Output

For each dataset, print the maximum sum in a line.

Sample Input

7
-5
-1
6
4
9
-6
-7
13
1
2
3
2
-2
-1
1
2
3
2
1
-2
1
3
1000
-200
201
0

Output for the Sample Input

19
14
1001

Solution in C (judge verdict: Wrong Answer)

#include <stdio.h>

int main(void)
{
	int i, j, k, n, a[5001], max, sum;
	
	while (scanf("%d", &n), n != 0){
		for (i = 0; i < n; i++){
			scanf("%d", &a[i]);
		}
		max = 0;
		
		for (i = 0; i < n; i++){
			for (k = n; k > 0; k--){
				sum = 0;
				for (j = i; j < k; j++){
					sum += a[j];
					if (sum < 0) break;
				}
				if (max < sum){
					max = sum;
				}
			}
		}
		printf("%d\n", max);
	}
	
	return 0;
}