#include <bits/stdc++.h>
using namespace std;
using ll = long long;
#define rep(i, n) for (ll i = 0; i < (ll)(n); i++)
#define rep2(i, s, n) for (ll i = (s); i < (ll)(n); i++)
#define all(v) v.begin(), v.end()
#define sz(v) v.size()
#define INF 100000000000000 //10^14
template <typename T>
bool chmax(T &a, const T& b) {
  if (a < b) {
    a = b;
    return true;
  }
  return false;
}
template <typename T>
bool chmin(T &a, const T& b) {
  if (a > b) {
    a = b;
    return true;
  }
  return false;
}

vector<vector<vector<ll>>> dp(51, vector<vector<ll>>(51, vector<ll>(101, 0)));

int main()
{
    ll N, K;
    cin >> N >> K;
    vector<ll> V(N);
    rep(i, N) cin >> V.at(i);
    ll ans = 0;
    rep(l, min(N, K)+1){
        rep(r, min(N, K)+1){
            rep(d, l+r+1){
                if(l+r+d > K){
                    continue;
                }
                if(l+r > N){
                    continue;
                }
                vector<ll> get(0);
                rep(i, l){
                    get.push_back(V.at(i));
                }
                rep(i, r){
                    get.push_back(V.at(N-1-i));
                }
                sort(all(get));
                get.erase(get.begin(), get.begin()+d);
                ll tmp = 0;
                rep(i, sz(get)){
                    tmp += get.at(i);
                }
                chmax(ans, tmp);
            }
        }
    }
    cout << ans << endl;
}
#include <bits/stdc++.h>//Carefully Crafted by hetp111
using namespace std;
#define int long long
#define double long double
#define all(v) (v).begin(),(v).end()
#define vi vector<int>
#define vvi vector<vi>
#define pii pair<int,int>
#define vii vector<pii>
#define MOD 1000000007
#define MOD2 998244353
#define MOD3 1000000009
#define PI acos(-1)
#define eps (1e-8)
#define INF (1e18)
#define FASTER ios_base::sync_with_stdio(0);cin.tie(0)
template<class A,class B>ostream&operator<<(ostream&out,const pair<A,B>&a){return out<<"("<<a.first<<","<<a.second<<")";}
template<class A>ostream&operator<<(ostream&out,const vector<A>&a){for(const A &it:a)out<<it<<" ";return out;}
template<class A,class B>istream&operator>>(istream&in,pair<A,B>&a){return in>>a.first>>a.second;}
template<class A>istream&operator>>(istream&in,vector<A>&a){for(A &i:a)in>>i;return in;}
//ifstream cinn("in.in");ofstream coutt("out.out");
int poww(const int &a,int b,const int &m=MOD){if(b==0)return 1;int x=poww(a,b/2,m);x=x*x%m;if(b&1)x=x*a%m;return x;}
int ceil(const int &a,const int &b){return (a+b-1)/b;}
////Read:
//Check corner cases, n==1;
//
////Some function:
//__builtin_popcountll(), 

int n,c,dp[55][55][55][55];
vi v;

int f(int i,int cnt,int mxgap,int lst){
    if(i==n){
        mxgap=max(mxgap,i-lst-1);
        if(cnt+(n-cnt-mxgap)*2<=c)return 0;
        return -INF;
    }
    int &ans=dp[i][cnt][mxgap][lst+1];
    if(ans!=-INF)return ans;
    ans=v[i]+f(i+1,cnt+1,max(mxgap,i-lst-1),i);
    ans=max(ans,f(i+1,cnt,mxgap,lst));
    return ans;
}

signed main(){
    FASTER;
    cin>>n>>c;
    v=vi(n);cin>>v;
    for(int i=0;i<55;i++){
        for(int j=0;j<55;j++){
            for(int k=0;k<55;k++){
                for(int l=0;l<55;l++){
                    dp[i][j][k][l]=-INF;
                }
            }
        }
    }
    cout<<f(0,0,0,-1);
}
