#include <bits/stdc++.h>
using namespace std;
using lint = long long;
using pint = pair<int, int>;
using plint = pair<lint, lint>;
struct fast_ios {
    fast_ios() { cin.tie(nullptr), ios::sync_with_stdio(false), cout << fixed << setprecision(20); };
} fast_ios_;
#define FOR(i, begin, end) for (int i = (begin), i##_end_ = (end); i < i##_end_; i++)
#define IFOR(i, begin, end) for (int i = (end)-1, i##_begin_ = (begin); i >= i##_begin_; i--)
#define REP(i, n) FOR(i, 0, n)
#define IREP(i, n) IFOR(i, 0, n)
#define ALL(x) (x).begin(), (x).end()
//
template <typename T, typename V>
void ndarray(vector<T>& vec, const V& val, int len) { vec.assign(len, val); }
template <typename T, typename V, typename... Args>
void ndarray(vector<T>& vec, const V& val, int len, Args... args)
{
    vec.resize(len), for_each(begin(vec), end(vec), [&](T& v) { ndarray(v, val, args...); });
}
template <typename T>
bool chmax(T& m, const T q) { return m < q ? (m = q, true) : false; }
template <typename T>
bool chmin(T& m, const T q) { return m > q ? (m = q, true) : false; }
template <typename T1, typename T2>
pair<T1, T2> operator+(const pair<T1, T2>& l, const pair<T1, T2>& r) { return make_pair(l.first + r.first, l.second + r.second); }
template <typename T1, typename T2>
pair<T1, T2> operator-(const pair<T1, T2>& l, const pair<T1, T2>& r) { return make_pair(l.first - r.first, l.second - r.second); }
template <typename T>
vector<T> srtunq(vector<T> vec) { return sort(vec.begin(), vec.end()), vec.erase(unique(vec.begin(), vec.end()), vec.end()), vec; }
template <typename T>
istream& operator>>(istream& is, vector<T>& vec)
{
    return for_each(begin(vec), end(vec), [&](T& v) { is >> v; }), is;
}

// output
template <typename T, typename V>
ostream& dmpseq(ostream&, const T&, const string&, const string&, const string&);
#if __cplusplus >= 201703L
template <typename... T>
ostream& operator<<(ostream& os, const tuple<T...>& tpl)
{
    return apply([&os](auto&&... args) { ((os << args << ','), ...); }, tpl), os;
}
#endif
//
template <typename T1, typename T2>
ostream& operator<<(ostream& os, const pair<T1, T2>& p) { return os << '(' << p.first << ',' << p.second << ')'; }
template <typename T>
ostream& operator<<(ostream& os, const vector<T>& x) { return dmpseq<vector<T>, T>(os, x, "[", ",", "]"); }
template <typename T>
ostream& operator<<(ostream& os, const deque<T>& x) { return dmpseq<deque<T>, T>(os, x, "deq[", ",", "]"); }
template <typename T>
ostream& operator<<(ostream& os, const set<T>& x) { return dmpseq<set<T>, T>(os, x, "{", ",", "}"); }
template <typename T, typename TH>
ostream& operator<<(ostream& os, const unordered_set<T, TH>& x) { return dmpseq<unordered_set<T, TH>, T>(os, x, "{", ",", "}"); }
template <typename T>
ostream& operator<<(ostream& os, const multiset<T>& x) { return dmpseq<multiset<T>, T>(os, x, "{", ",", "}"); }
template <typename TK, typename T>
ostream& operator<<(ostream& os, const map<TK, T>& x) { return dmpseq<map<TK, T>, pair<TK, T>>(os, x, "{", ",", "}"); }
template <typename TK, typename T, typename TH>
ostream& operator<<(ostream& os, const unordered_map<TK, T, TH>& x) { return dmpseq<unordered_map<TK, T, TH>, pair<TK, T>>(os, x, "{", ",", "}"); }
template <typename T, typename V>
ostream& dmpseq(ostream& os, const T& seq, const string& pre, const string& sp, const string& suf)
{
    return os << pre, for_each(begin(seq), end(seq), [&](V x) { os << x << sp; }), os << suf;
}
template <typename T>
void print(const vector<T>& x) { dmpseq<vector<T>, T>(cout, x, "", " ", "\n"); }
#ifdef HITONANODE_LOCAL
#define dbg(x) cerr << #x << " = " << (x) << " (L" << __LINE__ << ") " << __FILE__ << endl
#else
#define dbg(x) {}
#endif


int main()
{
    int N, K;
    cin >> N >> K;
    vector<int> A(N);
    cin >> A;

    constexpr int INF = 2e9;
    vector dpl(N, vector(N, vector(K + 1, -INF)));
    vector dpr(N, vector(N, vector(K + 1, -INF)));
    REP(i, N) dpl[i][i][K] = dpr[i][i][K] = A[i] * K;

    IFOR(k, 1, K + 1)
    {
        REP(l, N) FOR(r, l, N) if (dpl[l][r][k] > -INF)
        {
            if (l) chmax(dpl[l - 1][r][k - 1], dpl[l][r][k] + A[l - 1] * (k - 1));
            if (r + 1 < N and k - (r - l) - 1 >= 0) chmax(dpr[l][r + 1][k - (r - l) - 1], dpl[l][r][k] + A[r + 1] * (k - (r - l) - 1));
            if (k >= 2) chmax(dpl[l][r][k - 2], dpl[l][r][k]);
        }
        REP(l, N) FOR(r, l, N) if (dpr[l][r][k] > -INF)
        {
            if (r + 1 < N) chmax(dpr[l][r + 1][k - 1], dpr[l][r][k] + A[r + 1] * (k - 1));
            if (l and k - (r - l) - 1 >= 0) chmax(dpl[l - 1][r][k - (r - l) - 1], dpr[l][r][k] + A[l - 1] * (k - (r - l) - 1));
            if (k >= 2) chmax(dpr[l][r][k - 2], dpr[l][r][k]);
        }
    }
    vector<vector<int>> Begin(N), End(N);
    REP(l, N) FOR(r, l, N) REP(k, K)
    {
        int L = l, R = min(r, l + k);
        if (k % 2) L++;
        if (k % 2 != (R - l) % 2) R--;
        if (L <= R)
        {
            Begin[L].emplace_back(dpl[l][r][k]);
            End[R].emplace_back(dpl[l][r][k]);
        }
    }
    REP(l, N) FOR(r, l, N) REP(k, K)
    {
        int R = r, L = max(l, r - k);
        if (k % 2) R--;
        if (k % 2 != (r - L) % 2) L++;
        if (L <= R)
        {
            Begin[L].emplace_back(dpr[l][r][k]);
            End[R].emplace_back(dpr[l][r][k]);
        }
    }

    vector<multiset<int>> ms(2);
    REP(i, N)
    {
        int ret = -INF;
        ms[i % 2].insert(Begin[i].begin(), Begin[i].end());
        if (ms[i % 2].size())
            chmax(ret, *prev(ms[i % 2].end()));
        for (auto x : End[i]) {
            ms[i % 2].erase(ms[i % 2].lower_bound(x));
        }
        cout << ret << endl;
    }
}