#include <stdio.h>
#include <bits/stdc++.h>
using namespace std;
#define rep(i,n) for (int i = 0; i < (n); ++i)
#define Inf 1000000300

int N,K;
vector<int> A;

int get(int l,int r,int isL,int now){

	if(l<0||r>=N)return -Inf;
	if(now>K)return -Inf;
	static vector dp(301,vector(301,vector(2,vector(301,-Inf))));
	
	if(dp[l][r][isL][now]!=-Inf)return dp[l][r][isL][now];
	int ret = -Inf+1;
	if(l==r){
		if(now==K)ret = now * A[l];
		else ret = -Inf;
	}
	else{
		if(isL){
			ret = max(ret,get(l+1,r,isL,now+1) + A[l] * now);
		}
		else{
			ret = max(ret,get(l,r-1,isL,now+1) + A[r]*now);
		}
		
		ret = max(ret,get(l,r,isL,now+2));
		ret = max(ret,get(l,r,isL^1,now+(r-l)));
		
	}
	
	dp[l][r][isL][now] = ret;
	return ret;
}

int main(){	

	cin>>N>>K;
	
	A.resize(N);
	rep(i,N)cin>>A[i];
	
	vector<int> ans(N,-Inf);
	
	for(int i=0;i<N;i++){
		for(int j=i;j<N;j++){
			for(int k=0;k<=K;k++){
				int t = get(i,j,0,k);
				if(j-k>=i)ans[j-k] = max(ans[j-k],t);
				t = get(i,j,1,k);
				if(i+k<=j)ans[i+k] = max(ans[i+k],t);
			}
			
		}
	}
	//cout<<get(2,4,0,0)<<endl;
	rep(i,N){
		cout<<ans[i]<<endl;
	}
	
    return 0;
}