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: Accepted)

import java.util.Scanner;

public class Main {

	public static void main(String[] args) {
		Scanner sc=new Scanner(System.in);
		int n;
		int a[];
		long sum,max;
		
		while(true){
			n=sc.nextInt();
			if(n==0){
				break;
			}
			max=-100000000;
			a=new int[n];
			for(int i=0;i<n;i++){
				a[i]=sc.nextInt();
			}
			
			for(int i=0;i<n;i++){
				sum=0;
				for(int j=i;j<n;j++){
					sum+=a[j];
					if(max<sum){
						max=sum;
					}
				}
			}
			System.out.println(max);
		}
	}

}