#include<bits/stdc++.h>
using namespace std;
typedef long long ll;
ll read(){
    ll x=0,f=1;char c=getchar();
    while(c<'0' || c>'9'){if(c=='-')f=-1;c=getchar();}
    while(c>='0' && c<='9'){x=x*10+c-'0';c=getchar();}
    return x*f;
}
int n;
int a[1000100];
pair<int,int> b[1000100];
void upd(int x,int y){
    int num1=b[x].first,num2=b[x].second,num3=b[y].first,num4=b[y].second;
    b[x].first=max(num1,num3);
    if(num1>num3) b[x].second=max(num2,num3);
    else b[x].second=max(num1,num4);
}
int main(){
    #ifdef LZT
    freopen("in","r",stdin);
    #endif
    n=read();
    for(int i=0;i<(1<<n);i++)
        a[i]=read();
    for(int i=0;i<(1<<n);i++)
        b[i].first=a[i],b[i].second=-1e9;
    for(int k=0;k<n;k++){
        //cout<<k<<endl;
        for(int i=0;i<(1<<n);i++){
            if((i&(1<<k))!=0) continue;
            upd(i|(1<<k),i);
            //cout<<(i|(1<<k))<<' '<<i<<endl;
        }
    }/*
    for(int i=0;i+1<(1<<n);i++){
        upd(i+1,i);
    }*/
    int lastans=0;
    for(int i=1;i<(1<<n);i++){
        lastans=max(lastans,b[i].first+b[i].second);
        printf("%d\n",lastans);
    }
    return 0;
}
/*
2
1 2 3 1
*/