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: Time Limit Exceeded)

import java.io.IOException;
import java.io.InputStreamReader;
import java.util.ArrayList;
import java.util.List;
import java.util.Scanner;


public class Main {
	public static void main(String[] args)throws IOException{
		Scanner scan = null;
		try{
			scan = new Scanner(new InputStreamReader(System.in));
			while(scan.hasNext()){
				int n = scan.nextInt();
				if(n == 0)break;
				List<Integer> dataset = new ArrayList<Integer>();
				for(int i = 0; i < n;i++)
					dataset.add(scan.nextInt());
				int max = dataset.get(0);
				for(int i = 0; i < n ;i++){
					for(int j = i; j < n;j++){
						int sum = 0;
						for(int k =i; k <= j;k++){
							sum += dataset.get(k);
						}
						max = Math.max(sum, max);
					}
				}
				System.out.println(max);
			}
		}finally{
			scan.close();
		}

	}
}