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 _0022
{
    public class Program

    {
        public static void Main(string[] args)
        {

            while (true)
            {
                int n = ReadInt();
                if (n == 0) break;

                int sum = 0;
                int max = int.MinValue;
                for (int i = 0 ; i < n ; i++)
                {
                    int a = ReadInt();
                    if (sum < 0) sum = 0;
                    sum += a;
                    max = Math.Max(max, sum);
                }
                Console.WriteLine(max);
            }

        }

        static string ReadSt() { return Console.ReadLine(); }
        static int ReadInt() { return int.Parse(Console.ReadLine()); }
        static long ReadLong() { return long.Parse(Console.ReadLine()); }
        static double ReadDouble() { return double.Parse(Console.ReadLine()); }
        static string[] ReadStAr(char sep = ' ') { return Console.ReadLine().Split(sep); }
        static int[] ReadIntAr(char sep = ' ') { return Array.ConvertAll(Console.ReadLine().Split(sep), e => int.Parse(e)); }
        static long[] ReadLongAr(char sep = ' ') { return Array.ConvertAll(Console.ReadLine().Split(sep), e => long.Parse(e)); }
        static double[] ReadDoubleAr(char sep = ' ') { return Array.ConvertAll(Console.ReadLine().Split(sep), e => double.Parse(e)); }
        static string WriteAr(int[] array, string sep = " ") { return String.Join(sep, array.Select(x => x.ToString()).ToArray()); }
        static string WriteAr(double[] array, string sep = " ") { return String.Join(sep, array.Select(x => x.ToString()).ToArray()); }
        static string WriteAr(long[] array, string sep = " ") { return String.Join(sep, array.Select(x => x.ToString()).ToArray()); }

    }

}