This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
//#include<i_am_noob_orz>
#include<bits/stdc++.h>
#include <ext/pb_ds/tree_policy.hpp>
#include <ext/pb_ds/assoc_container.hpp>
using namespace __gnu_pbds;
using namespace std;
#define ll long long
#define int ll
#define ull unsigned long long
#define pii pair<int,int>
#define X first
#define Y second
#define mod ((ll)1e9+7)
#define pb push_back
#define mp make_pair
#define abs(x) ((x)>0?(x):(-(x)))
#define F(n) Fi(i,n)
#define Fi(i,n) Fl(i,0,n)
#define Fl(i,l,n) for(int i=l;i<n;i++)
#define memres(a) memset(a,0,sizeof(a))
#define all(a) a.begin(),a.end()
#define sz(a) ((int)a.size())
#define ceiling(a,b) (((a)+(b)-1)/(b))
#define endl '\n'
#define bit_count(x) __builtin_popcountll((x))
#define ykh mt19937 rng(chrono::steady_clock::now().time_since_epoch().count());
#define jimmy_is_kind false
typedef tree<int, null_type, less<int>, rb_tree_tag, tree_order_statistics_node_update> rbtree;
//#define LOCAL
#ifdef LOCAL
#define bug(...) cerr<<"#"<<__LINE__<<' '<<#__VA_ARGS__<<"- ", _do(__VA_ARGS__)
template<typename T> void _do(T && x) {cerr<<x<<endl;}
template<typename T, typename ...S> void _do(T && x, S&&...y) {cerr<<x<<", "; _do(y...);}
#define IOS()
#else
#define IOS() ios_base::sync_with_stdio(0), cin.tie(0)
#define endl '\n'
#define bug(...)
#endif
int add(int a,int b){return(a+b>=mod?a+b-mod:a+b);}
int sub(int a,int b){return(a<b?a+mod-b:a-b);}
int po(int a,int b){
if(b==0)return 1;
if(b==1)return(a%mod);
int tem=po(a,b/2);
if(b&1)return(((tem*tem)%mod)*a)%mod;
else return(tem*tem)%mod;
}
int GCD(int a,int b){
int x=0;
int ra,rb;
while(a&&b){
if(((a&1)==0)&&((b&1)==0)){
a>>=1,b>>=1,x++;
}
else if((a^b)&1){
if(a&1)b>>=1;
else a>>=1;
}
else{
ra=abs(a-b),rb=min(a,b);
a=ra,b=rb;
}
}
return max(a,b)<<x;
}
int gcd(int a,int b){if(b==0)return a;return gcd(b,a%b);}
int a[200010],pre[200010],nxt[200010],o[200010];
priority_queue<pii,vector<pii>,less<pii> >pq;
signed main(){
IOS();
int n;
cin>>n;
F(n)cin>>a[i];
a[n]=-1e18;
F(n+1)pre[i]=i-1,nxt[i]=i+1;
pre[0]=n,nxt[n]=0;
F(n+1)pq.push({a[i],i});
int ind=0,ans=0;
while(1){
pii pi=pq.top();
pq.pop();
if(pre[nxt[pi.Y]]!=pi.Y)continue;
ans+=pi.X,ind++;
o[ind]=max(o[ind],ans);
bug(ind,ans,pre[pi.Y],nxt[pi.Y]);
if((pre[pi.Y]==nxt[pi.Y])||((pre[pi.Y]+1)%(n+1)==nxt[pi.Y]))break;
pi.X=(a[pre[pi.Y]]+a[nxt[pi.Y]]-pi.X);
a[pi.Y]=pi.X;
pre[pi.Y]=pre[pre[pi.Y]],nxt[pre[pi.Y]]=pi.Y;
nxt[pi.Y]=nxt[nxt[pi.Y]],pre[nxt[pi.Y]]=pi.Y;
pq.push(pi);
}
F(ceiling(n,2))cout<<o[i+1]<<endl;
return 0;
}
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