#include <bits/stdc++.h>
using namespace std;
// おまじない
#define INCANT cin.tie(0), cout.tie(0), ios::sync_with_stdio(false), cout << fixed << setprecision(20);
#define int long long
// 型alias
template<class T>
using vec = vector<T>;
using vint = vec<int>;
using vvint = vec<vint>;
using str = string;
using mstr = map<str, int>;
using mchar = map<char, int>;
using mint = map<int, int>;
// alias
#define gcd __gcd
#define pb push_back
#define all(x) (x).begin(), (x).end()
template<class T>
bool chmax(T& a, T b){return (a = max(a, b)) == b;}
template<class T>
bool chmin(T& a, T b){return (a = min(a, b)) == b;}
template<class T>
int lb(vec<T>& x,T n){return lower_bound(all(x) , n) - x.begin();}
template<class T>
int ub(vec<T>& x,T n){return upper_bound(all(x) , n) - x.begin();}
// ループ
#define _overload(_1, _2, _3, name, ...) name
#define _rep(i, n) repi(i, 0, n)
#define repi(i, a, b) for(int i = (int)(a); i < (int)(b); i++)
#define rep(...) _overload(__VA_ARGS__, repi, _rep)(__VA_ARGS__)
#define _rev(i, n) revi(i, n, 0)
#define revi(i, a, b) for(int i = (int)(a - 1); i >= (int)(b); i--)
#define rev(...) _overload(__VA_ARGS__, revi, _rev)(__VA_ARGS__)
#define each(i, n) for(auto&& i: n)
// デバッグ出力
#define debughead(x) cerr << "Line " << __LINE__ << ": " << #x << ": "
#define debugout(x) cerr << (x) << " "
#define debugindent() cerr << '\n'
#define debug(x) debughead(x), debugout(x), debugindent()
// 脳死
#define YN(x) out((x) ? "YES" : "NO"), indent()
#define Yn(x) out((x) ? "Yes" : "No"), indent()
#define yn(x) out((x) ? "yes" : "no"), indent()
// const
int INF = 1e18, MOD = 1e9 + 7;
double EPS = 1e-15, PI = acos(-1);
int dx[] = {0, 0, 1, 0, -1, -1, 1, 1, -1}, dy[] = {0, -1, 0, 1, 0, -1, -1, 1, 1};
// 算数的な
int lcm(int a, int b) {return a / gcd(a, b) * b;}
int factorial(int a) {return a < 2 ? 1 : factorial(a - 1) * a;}
int summation(int a) {return a < 1 ? 0 : (a * a + a) / 2;}
int combination(int n, int r) {
    int res = 1;
    rep(i, 1, r + 1) res *= n--, res /= i;
    return res;
}
bool isPrime(int n) {
    rep(i, 2, sqrt(n) + 1) {
        if(i > 3) i++;
        if(!(n % i)) return false;
    }
    return true;
}
vint divisor(int n) {
    vint res;
    rep(i, 1, sqrt(n) + 1) {
        if(!(n % i)) {
            res.pb(i);
            if(i * i < n) res.pb(n / i);
        }
    }
    return res;
}
mint factorization(int n) {
    mint res;
    rep(i, 2, sqrt(n) + 1) {
        if(i > 3) i++;
        while(!(n%i)) res[i]++, n /= i;
    }
    if(n > 1) res[n]++;
    return res;
}
// modint
int extgcd(int a, int b, int &x, int &y) {
    int g = a;
    x = 1, y = 0;
    if(b) {
        g = extgcd(b, a % b, y, x);
        y -= a / b * x;
    }
    return g;
}
int invmod(int a, int m = MOD){
    int x = 0, y = 0;
    extgcd(a, m, x, y);
    return (x + m) % m;
}
struct modint{
    int _num;
    modint(int x = 0) : _num(){
        _num = x % MOD;
        if(_num < 0) _num += MOD;
    }
    inline modint operator =  (int x) {
        _num = x % MOD;
        if(_num < 0) _num += MOD;
        return *this;
    }
    inline modint operator =  (modint x) {
        _num = x._num;
        return *this;
    }
    inline modint operator +  (int x) {return modint(_num + x);}
    inline modint operator +  (modint x) {
        int a = _num + x._num;
        if(a >= MOD) a -= MOD;
        return modint{a};
    }
    inline modint operator += (int x) {
        _num += x, _num %= MOD;
        if(_num < 0) _num += MOD;
        return *this;
    }
    inline modint operator += (modint x) {
        _num += x._num;
        if(_num >= MOD) _num -= MOD;
        return *this;
    }
    inline modint operator ++ () {
        _num++;
        if(_num == MOD) _num = 0;
        return *this;
    }
    inline modint operator -  (int x) {return modint(_num - x);}
    inline modint operator -  (modint x) {
        int a = _num - x._num;
        if(a < 0) a += MOD;
        return modint{a};
    }
    inline modint operator -= (int x) {
        _num -= x, _num %= MOD;
        if(_num < 0) _num += MOD;
        return *this;
    }
    inline modint operator -= (modint x) {
        _num -= x._num;
        if(_num < 0) _num += MOD;
        return *this;
    }
    inline modint operator -- () {
        _num--;
        if(_num == -1) _num = MOD - 1;
        return *this;
    }
    inline modint operator *  (int x) {return modint(_num * (x % MOD));}
    inline modint operator *  (modint x) {return modint{_num * x._num % MOD};}
    inline modint operator *= (int x) {
        _num *= modint(x), _num %= MOD;
        return *this;
    }
    inline modint operator *= (modint x) {
        _num *= x._num, _num %= MOD;
        return *this;
    }
    inline modint operator /  (int x) {return modint(_num * invmod(modint(x), MOD));}
    inline modint operator /  (modint x) {return modint{_num * invmod(x._num, MOD) % MOD};}
    inline modint operator /= (int x) {
        _num *= invmod(modint(x), MOD), _num %= MOD;
        return *this;
    }
    inline modint operator /= (modint x) {
        _num *= invmod(x._num, MOD), _num %= MOD;
        return *this;
    }
    inline modint pow(int x) {
        modint ans = 1, cnt = *this;
        for(int i = 1; i < x + 1; i *= 2) {
            if(x & i) ans *= cnt; x ^= i;
            cnt *= cnt;
        }
        return ans;
    }
    inline operator int() {return _num;}
};
vec<modint> fac(1, 1), inv(1, 1);
void reserve(int a) {
    if(fac.size() >= a) return;
    if(a < fac.size() * 2) a = fac.size() * 2;
    if(a >= MOD) a = MOD;
    while(fac.size() < a) fac.push_back(fac.back() * (int)(fac.size()));
    inv.resize(fac.size());
    inv.back() = modint(1) / fac.back();
    for(int i = inv.size() - 1; !inv[i - 1]; i--) inv[i - 1] = inv[i] * i;
}
modint fact(int n) {
    if(n < 0) return 0;
    reserve(n + 1);
    return fac[n];
}
modint perm(int n, int r){
    if(r < 0 || n < r) return 0;
    reserve(n + 1);
    return fac[n] * inv[n - r];
}
modint comb(int n, int r){
    if(r < 0 || n < r) return 0;
    reserve(n + 1);
    return fac[n] * inv[r] * inv[n - r];
}
modint mcomb(int n, int r){return comb(n + r - 1, n - 1);} // r個をn部屋に分ける
// UnionFind
struct UnionFind{
    vector<int> t;
    UnionFind(int size): t(size, -1) {}
    int root(int x) {return t[x] < 0 ? x : t[x] = root(t[x]);}
    int size(int x) {return -t[root(x)];}
    bool isSame(int x, int y) {return root(x) == root(y);}
    bool unite(int x, int y) {
        x = root(x), y = root(y);
        if(x != y) {
            if(t[y] < t[x]) swap(x, y);
            t[x] += t[y], t[y] = x;
        }
        return x != y;
    }
};
// SegmentTree
struct SegmentTree{
    int n = 1;
    vector<int> t;
    SegmentTree(vector<int> v){
        while(n < v.size()) n *= 2;
        t.resize(2 * n - 1, INF);
        rep(i, v.size()) t[i + n - 1] = v[i];
        rev(i, n - 1) t[i] = min(t[2 * i + 1], t[2 * i + 2]); // 区間最小
    }
    void update(int x, int val){
        x += n - 1;
        t[x] = val;
        while(x > 0){
            x--; x /= 2;
            t[x] = min(t[2 * x + 1], t[2 * x + 2]); // 区間最小
        }
    }
    int query(int a, int b, int now = 0, int l = 0, int r = -1) {
        if(r < 0) r = n;
        if(r <= a || b <= l) return INF; // minの単位元
        if(a <= l && r <= b) return t[now];
        int c1 = query(a, b, 2 * now + 1, l, (l + r) / 2);
        int c2 = query(a, b, 2 * now + 2, (l + r) / 2, r);
        return min(c1, c2);
    }
};
// main
signed main() {
    INCANT;
    int n, k, res = -INF, a;
    deque<int> q;
    cin>>n>>k;
    rep(i, n){
        cin>>a;
        q.pb(a);
    }
    for(int l = 0; l <= min(n, k); l++){
        for(int r = 0; l + r <= min(n, k); r++){
            int nok = k - l - r;
            priority_queue<int> v;
            auto qq = q;
            int cnt = 0;
            rep(i, l){
                v.push(-qq.front()); qq.pop_front();
            }
            rep(i, r){
                v.push(-qq.back()); qq.pop_back();
            }
            while(!v.empty()){
                if(v.top() > 0 && nok > 0){
                    nok--;
                }else{
                    cnt -= v.top();
                }
                v.pop();
            }
            chmax(res, cnt);
        }
    }
    cout<<res;
}


Measured memory_bytes: 256