//#define _GLIBCXX_DEBUG

#include<bits/stdc++.h>
using namespace std;

#define endl '\n'
#define lfs cout<<fixed<<setprecision(10)
#define ALL(a)  (a).begin(),(a).end()
#define ALLR(a)  (a).rbegin(),(a).rend()
#define spa << " " <<
#define fi first
#define se second
#define MP make_pair
#define MT make_tuple
#define PB push_back
#define EB emplace_back
#define rep(i,n,m) for(ll i = (n); i < (ll)(m); i++)
#define rrep(i,n,m) for(ll i = (ll)(m) - 1; i >= (ll)(n); i--)
using ll = long long;
using ld = long double;
const ll MOD1 = 1e9+7;
const ll MOD9 = 998244353;
const ll INF = 1e18;
using P = pair<ll, ll>;
template<typename T1, typename T2>
bool chmin(T1 &a,T2 b){if(a>b){a=b;return true;}else return false;}
template<typename T1, typename T2>
bool chmax(T1 &a,T2 b){if(a<b){a=b;return true;}else return false;}
ll median(ll a,ll b, ll c){return a+b+c-max({a,b,c})-min({a,b,c});}
void ans1(bool x){if(x) cout<<"Yes"<<endl;else cout<<"No"<<endl;}
void ans2(bool x){if(x) cout<<"YES"<<endl;else cout<<"NO"<<endl;}
void ans3(bool x){if(x) cout<<"Yay!"<<endl;else cout<<":("<<endl;}
template<typename T1,typename T2>
void ans(bool x,T1 y,T2 z){if(x)cout<<y<<endl;else cout<<z<<endl;}  
template<typename T>
void debug(vector<vector<T>>&v,ll h,ll w){for(ll i=0;i<h;i++)
{cout<<v[i][0];for(ll j=1;j<w;j++)cout spa v[i][j];cout<<endl;}};
void debug(vector<string>&v,ll h,ll w){for(ll i=0;i<h;i++)
{for(ll j=0;j<w;j++)cout<<v[i][j];cout<<endl;}};
template<typename T>
void debug(vector<T>&v,ll n){if(n!=0)cout<<v[0];
for(ll i=1;i<n;i++)cout spa v[i];cout<<endl;};
template<typename T>
vector<vector<T>>vec(ll x, ll y, T w){
  vector<vector<T>>v(x,vector<T>(y,w));return v;}
ll gcd(ll x,ll y){ll r;while(y!=0&&(r=x%y)!=0){x=y;y=r;}return y==0?x:y;}
vector<ll>dx={1,-1,0,0,1,1,-1,-1};
vector<ll>dy={0,0,1,-1,1,-1,1,-1};
template<typename T>
vector<T> make_v(size_t a,T b){return vector<T>(a,b);}
template<typename... Ts>
auto make_v(size_t a,Ts... ts){
  return vector<decltype(make_v(ts...))>(a,make_v(ts...));
}
template<typename T1, typename T2>
ostream &operator<<(ostream &os, const pair<T1, T2>&p){
  return os << p.first << " " << p.second;
}
//mt19937 mt(chrono::steady_clock::now().time_since_epoch().count());

int main(){
  cin.tie(nullptr);
  ios_base::sync_with_stdio(false);
  ll res=0,buf=0;
  bool judge = true;
  ll n,m;cin>>n>>m;
  vector<ll>a(n);
  rep(i,0,n)cin>>a[i];
  auto dp=make_v(m+1,n,n,-INF);
  rep(i,0,n)dp[m][i][i]=a[i]*m;
  rrep(i,0,m){
    rep(l,0,n){
      rep(r,0,l+1){
        if(l<n-1)chmax(dp[i][l+1][r],dp[i+1][l][r]+a[l+1]*i);
        if(i+1>=l-r)chmax(dp[i+1-(l-r)][r][l],dp[i+1][l][r]);
        if(i>0&&l!=r)chmax(dp[i-1][l][r],dp[i+1][l][r]);
      }
      rep(r,l,n){
        if(l>0)chmax(dp[i][l-1][r],dp[i+1][l][r]+a[l-1]*i);
        if(i+1>=r-l)chmax(dp[i+1-(r-l)][r][l],dp[i+1][l][r]);
        if(i>0&&l!=r)chmax(dp[i-1][l][r],dp[i+1][l][r]);
      }
    }
  }
  vector<ll>ret(n,-INF);
  {
    vector<ll>now(n,-INF);
    rep(l,0,n){
      rep(r,l+1,n){
        ll lim=l;
        rep(i,0,m){
          //cout<<l spa r spa i spa lim spa dp[i][l][r]<<endl;
          chmax(now[lim],dp[i][l][r]);
          lim++;
          if(lim>r)lim-=2;
        }
      }
      for(ll j=l;j<n;j+=2)chmax(ret[l],now[j]);
    }
  }
  {
    vector<ll>now(n,-INF);
    rrep(l,0,n){
      rep(r,0,l){
        ll lim=l;
        rep(i,0,m){
          chmax(now[lim],dp[i][l][r]);
          lim--;
          if(lim<r)lim+=2;
        }
      }
      for(ll j=l;j>=0;j-=2)chmax(ret[l],now[j]);
    }
  }
  rep(i,0,n)cout<<ret[i]<<endl;
  return 0;
}