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: Wrong Answer)

using System;

namespace Volume0_0022
{
    class Program
    {
        static void Main(string[] args)
        {
            int count;
            while( (count = Convert.ToInt32(Console.ReadLine())) != 0 )
            {
                int max = 0, sum = 0;
                for (var i = 0; i < count; i++)
                {
                    int num = Convert.ToInt32(Console.ReadLine());
                    sum = Math.Max(sum + num, 0);
                    max = Math.Max(sum, max);
                }
                Console.WriteLine(max);
            }
        }
    }
}