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)

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

namespace P0022_MaximumSumSequence
{
    class Program
    {

        static void Main(string[] args)
        {
            int cntLine;

            List<List<int>> lines = new List<List<int>>();

            do
            {
                cntLine = int.Parse( Console.ReadLine());
                
                List<int> line = new List<int>();

                for (int i = 1; i <= cntLine; i++) 
                {
                    line.Add(int.Parse(Console.ReadLine()));
                }

                lines.Add(line);

            }
            while (cntLine != 0);
            

            foreach (List<int> line in lines)
            {

                if (line.Count == 0) 
                {
                    break;
                }

                int Max = -100000;

                for (int i = 0; i < line.Count; i++) 
                {
                    for (int j = i; j < line.Count; j++)
                    {
                        int sum = line.Skip(i).Take(j - i + 1).Sum();

                        if (sum >= Max) 
                        {
                            Max = sum;
                        }
                    }

                }

                Console.WriteLine(Max);

            }


            Console.ReadLine();
        }


    }

}