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: Time Limit Exceeded)

#include <stdio.h>
int array[1000];
int n,i,sum=0,k=0;
void tansaku(int a);
int main(void)
{
	while(1)
	{
		sum = 0;
		for(i=0;i<1000;i++)
		{
			array[i] = 0;
		}
		scanf("%d",&n);
		if(n==0)break;
		for(i=0;i<n;i++)
		{
			scanf("%d",&array[i]);
		}
		for(i=0;i<n;i++)
		{
			tansaku(i);
			k = 0;
		}
		printf("%d\n",sum);
	}
	return 0;
}
void tansaku(int a)
{
	if(a>n)return;
	k += array[a];
	if(k > sum)
	{
		sum = k;
	}
	if(a == n)return;
	tansaku(a+1);
}