using System;
using System.Collections.Generic;
using System.Linq;
using static System.Console;
using static System.Math;

class MainClass : Scanner
{
    static void Main()
    {
        var (N, K) = ReadStream<int, int>();
        var V = RLongs();
        var litems = new List<long>[N+1];
        litems[0] = new List<long>();
        var ritems = new List<long>[N+1];
        ritems[0] = new List<long>();
        for (int i = 1; i < N+1; i++)
        {
            litems[i] = new List<long>(litems[i - 1])
            {
                V[i - 1]
            };
        }
        for (int i = 1; i < N+1; i++)
        {
            ritems[i] = new List<long>(ritems[i - 1]);
            ritems[i].Add(V[N - i]);
        }

        var ans = 0L;
        for (int i = 0; i <= Min(N,K); i++)
        {
            for (int j = 0; j <= Min(N,K-i); j++)
            {
                if (i + j > N) break;
                var left = K - i - j;
                var lis = new List<long>(litems[i]);
                lis = lis.Concat(ritems[j]).ToList();
                lis.Sort();
                var cost = lis.Sum();
                for (int k = 0; k < Min(lis.Count,left); k++)
                {
                    if (lis[k] >= 0) break;
                    cost -= lis[k];
                }
                ans = Max(cost, ans);
            }
        }
        WriteLine(ans);
    }
}

class Scanner
{
    public static int RInt() => int.Parse(Console.ReadLine());
    public static long RLong() => long.Parse(Console.ReadLine());
    public static string RString() => Console.ReadLine();
    public static double RDouble() => double.Parse(Console.ReadLine());

    public static int[] RInts() => Array.ConvertAll(Console.ReadLine().Split(), int.Parse);
    public static int[] RInts(Func<string, int> func) => Console.ReadLine().Split().Select(func).ToArray();
    public static long[] RLongs() => Array.ConvertAll(Console.ReadLine().Split(), long.Parse);
    public static long[] RLongs(Func<string, long> func) => Console.ReadLine().Split().Select(func).ToArray();
    public static double[] RDoubles() => Array.ConvertAll(Console.ReadLine().Split(), double.Parse);
    public static double[] RDoubles(Func<string, double> func) => Console.ReadLine().Split().Select(func).ToArray();
    public static string[] RStrings() => Console.ReadLine().Split();
    //public static string[] RStrings(Func<string, string> func) => Console.ReadLine().Split().Select(func).ToArray();
    public static T1 ReadStream<T1>()
    {
        var r = RStrings();
        var r1 = (T1)Convert.ChangeType(r[0], typeof(T1));
        return r1;
    }
    public static (T1, T2) ReadStream<T1, T2>()
    {
        var r = RStrings();
        var r1 = (T1)Convert.ChangeType(r[0], typeof(T1));
        var r2 = (T2)Convert.ChangeType(r[1], typeof(T2));
        return (r1, r2);
    }
    public static (T1, T2, T3) ReadStream<T1, T2, T3>()
    {
        var r = RStrings();
        var r1 = (T1)Convert.ChangeType(r[0], typeof(T1));
        var r2 = (T2)Convert.ChangeType(r[1], typeof(T2));
        var r3 = (T3)Convert.ChangeType(r[2], typeof(T3));
        return (r1, r2, r3);
    }
    public static (T1, T2, T3, T4) ReadStream<T1, T2, T3, T4>()
    {
        var r = RStrings();
        var r1 = (T1)Convert.ChangeType(r[0], typeof(T1));
        var r2 = (T2)Convert.ChangeType(r[1], typeof(T2));
        var r3 = (T3)Convert.ChangeType(r[0], typeof(T3));
        var r4 = (T4)Convert.ChangeType(r[0], typeof(T4));
        return (r1, r2, r3, r4);
    }
}

Measured memory_bytes: 29052