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: Accepted)

using System;
using System.Collections.Generic;
using System.Linq;
using System.Text;

namespace ConsoleApplication1
{
    class Program
    {
        static void Main(string[] args)
        {
            StringBuilder sb = new StringBuilder();

            while (true)
            {
                int n = int.Parse(Console.ReadLine());

                if (n == 0) break;

                int s = int.Parse(Console.ReadLine());

                int sum = s, max = s;

                for (int i = 1; i < n; i++)
                {
                    int a = int.Parse(Console.ReadLine());

                    sum = Math.Max(sum + a, a);
                    max = Math.Max(max, sum);
                }
                sb.AppendLine(max.ToString());
            }
            Console.Write(sb);
        }
    }
}