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 JAVA (judge verdict: Wrong Answer)

import java.io.BufferedReader;
import java.io.IOException;
import java.io.InputStreamReader;

public class Main {
	public static void main(String[] args) throws IOException {
		BufferedReader br = new BufferedReader(new InputStreamReader(System.in));
		String str = br.readLine();
		while (!str.equals("0")) {
			int n = Integer.parseInt(str);
			int[] num = new int[n];
			int max = 0;
			for (int i = 0; i < n; i++) {
				str = br.readLine();
				num[i] = Integer.parseInt(str);
				int sum = 0;
				for (int j = i; j >= 0; j--) {
					sum = sum + num[j];
					if (sum > max)
						max = sum;
				}
			}
			System.out.println(max);
			str = br.readLine();
		}
	}
}