#define _CRT_SECURE_NO_WARNINGS
#include <iostream>
#include <cmath>
#include <algorithm>
#include <vector>
#include <numeric>
#include <queue>
#include <stack>
#include <map> 
#include <set>
#include <string>
#include <functional>
#include <list>
#include <random>
#include <time.h>
#include <iomanip>
#include <assert.h>
#include <numeric>
#define int long long
#define ll long long
#define double long double
#define mod 1000000007
#define MAXN (int)1e+5 * 2+1
#define LL_MAX 9223372036854775807	//ない環境用
#define LL_HALFMAX 9223372036854775807 / 2	//ない環境用
#define MIN -(9223372036854775807 / 2)
#define INF 9223372036854775807 / 2
#define REP(i,a,n) for(int i=(a); i<(int)(n); i++)
#define rep(i,n) REP(i,0,n)
#define FOR(it,c) for(__typeof((c).begin()) it=(c).begin(); it!=(c).end(); ++it)
#define ALLOF(c) (c).begin(), (c).end()
#define REPS(i,x) for(int i=1;i<=(int)(x);i++)
#define RREP(i,x) for(int i=((int)(x)-1);i>=0;i--)
#define RREPS(i,x) for(int i=((int)(x));i>0;i--)
#define repl(i,a,b) for(int i=(int)(a);i<(int)(b);i++)
#define mp make_pair


using namespace std;

std::mt19937 mt((int)time(0));

int dx[4] = { 0, 1, 0, -1 }; // x軸方向への変位
int dy[4] = { 1, 0, -1, 0 }; // y軸方向への変位

using Weight = int;
using Flow = int;
struct Edge {
	int src, dst;
	Weight weight;
	Flow cap;
	Edge() : src(0), dst(0), weight(0) {}
	Edge(int s, int d, Weight w) : src(s), dst(d), weight(w) {}
};
using Edges = std::vector<Edge>;
using Graph = std::vector<Edges>;
using Array = std::vector<Weight>;
using Matrix = std::vector<Array>;

void add_edge(Graph &g, int a, int b, Weight w = 1) {
	g[a].emplace_back(a, b, w);
	g[b].emplace_back(b, a, w);
}
void add_arc(Graph &g, int a, int b, Weight w = 1) { g[a].emplace_back(a, b, w); }

struct uf_tree {
	std::vector<int> parent;
	int __size;
	uf_tree(int size_) : parent(size_, -1), __size(size_) {}
	void unite(int x, int y) {
		if ((x = find(x)) != (y = find(y))) {
			if (parent[y] < parent[x]) std::swap(x, y);
			parent[x] += parent[y];
			parent[y] = x;
			__size--;
		}
	}
	bool is_same(int x, int y) { return find(x) == find(y); }
	int find(int x) { return parent[x] < 0 ? x : parent[x] = find(parent[x]); }
	int size(int x) { return -parent[find(x)]; }
	int size() { return __size; }
};



//!!!問題をちゃんと読む!!!
//!!!問題をちゃんと読め!!!
//!!!問題は読みましたか？!!!

class rest {
public:
	string S;
	int P;
	int Num;
public:
	rest(string s, int p, int num) {
		S = s;
		P = p;
		Num = num;
	}
	bool operator<(const rest &another) const
	{
		if (S != another.S)return S < another.S;
		return P > another.P;

	};
};

int imos[1000000];

signed main() {
	int N, K;
	cin >> N >> K;
	vector<int> v;
	rep(i, N) {
		int val;
		cin >> val;
		v.push_back(val);
	}

	//取り出す個数について全探索
	int ans = 0;
	for (int get = 0; get <= K; get++) {
		//取り出し方について全探索
		vector<int> got;

		for (int left = 0; left <= get; left++) {
			int right = get - left;
			got.clear();
			//全部とれるなら取る
			bool all = false;
			if (get >= N) {
				got = v;
				all = true;
			}

			//左と右から取る
			if (!all) {
				for (int i = 0; i < left; i++) {
					got.push_back(v[i]);
				}
				for (int i = N - 1, cnt = 0; cnt < right; i--, cnt++) {
					got.push_back(v[i]);
				}
			}

			sort(got.begin(), got.end());
			int candAns = 0;
			//捨てるを考えながら和を計算
			int maxTrash = K - get;
			int trash = 0;
			for (int val : got) {
				//?
				if (val < 0 && trash < maxTrash) {
					trash++;
					continue;
				}
				candAns += val;
			}
			ans = max(ans, candAns);

		}


	}

	cout << ans << "\n";

	return 0;
}

Measured memory_bytes: 256