using System;
using System.Collections.Generic;
using System.Windows;
using System.Linq;
using System.Text;
using System.Threading.Tasks;

namespace Atcoder
{
    public class Program
    {
        private static long mod = 1000000007;

        static void Main(string[] args)
        {
            var r = ReadSplit();
            var n = r[0].Int();
            var k = r[1].Int();
            var l = new long[n];
            var r2 = ReadSplit();
            for (int i = 0; i < n; i++)
            {
                l[i] = r2[i].Long();
            }
            var min = Math.Min(n, k);

            var maxValue = 0L;
            for (int i = 0; i <= min; i++)
            {
                for (int h = 0; h <= i; h++)
                {
                    var getL = new List<long>();
                    var a = h;
                    var b = i - a;
                    for (int j = 0; j < a; j++)
                    {
                        getL.Add(l[j]);
                    }
                    for (int j = 0; j < b; j++)
                    {
                        getL.Add(l[n - j - 1]);
                    }
                    var tmp = getL.Sum();
                    getL.Sort();
                    for (int j = 0; j < k - i; j++)
                    {
                        if (getL.Count - 1 < j) break;
                        var val = getL[j];
                        if (val < 0)
                        {
                            tmp += Math.Abs(val);
                        }
                        else
                        {
                            break;
                        }
                    }
                    if (maxValue < tmp)
                    {
                        maxValue = tmp;
                    }
                }
            }
            WriteRead(maxValue);
        }

        public static string Read()
        {
            return Console.ReadLine();
        }

        public static string[] ReadSplit()
        {
            return Console.ReadLine().Split(' ');
        }

        public static void WriteRead(object str)
        {
            Console.WriteLine(str);
            Read();
        }

        public static void Write(object str)
        {
            Console.WriteLine(str);
        }

        private static bool ChangeMin<T>(ref T a, T b) where T : IComparable
        {
            if (a.CompareTo(b) > 0)
            {
                a = b;
                return true;
            }
            return false;
        }

        private static bool ChangekMax<T>(ref T a, T b) where T : IComparable
        {
            if (b.CompareTo(a) > 0)
            {
                a = b;
                return true;
            }
            return false;
        }
    }
}


public static class Extentions
{
    public static int Int(this object obj)
    {
        return int.Parse(obj.ToString());
    }

    public static long Long(this object obj)
    {
        return long.Parse(obj.ToString());
    }

    public static decimal Decimal(this object obj)
    {
        return decimal.Parse(obj.ToString());
    }

    public static double Double(this object obj)
    {
        return double.Parse(obj.ToString());
    }

    public static T2 GetValueZero<T1, T2>(this Dictionary<T1, T2> d, T1 key) where T2 : struct
    {
        T2 value;
        if (d.TryGetValue(key, out value))
        {
            return value;
        }
        return new T2();
    }
}



Measured memory_bytes: 13396