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 <bits/stdc++.h>
using namespace std;
#define rep(i, n) for(long long i=0;i<(long long)(n);i++)
#define REP(i,k,n) for(long long i=k;i<(long long)(n);i++)
#define all(a) a.begin(),a.end()
#define rsort(a) {sort(all(a));reverse(all(a));}
#define pb emplace_back
#define eb emplace_back
#define lb(v,k) (lower_bound(all(v),(k))-v.begin())
#define ub(v,k) (upper_bound(all(v),(k))-v.begin())
#define fi first
#define se second
#define pi M_PI
#define PQ(T) priority_queue<T>
#define SPQ(T) priority_queue<T,vector<T>,greater<T>>
#define dame(a) {out(a);return 0;}
#define decimal cout<<fixed<<setprecision(15);
#define dupli(a) {sort(all(a));a.erase(unique(all(a)),a.end());}
typedef long long ll;
typedef pair<ll,ll> P;
typedef tuple<ll,ll,ll> PP;
typedef tuple<ll,ll,ll,ll> PPP;
typedef multiset<ll> S;
using vi=vector<ll>;
using vvi=vector<vi>;
using vvvi=vector<vvi>;
using vvvvi=vector<vvvi>;
using vp=vector<P>;
using vvp=vector<vp>;
using vb=vector<bool>;
using vvb=vector<vb>;
using vpp=vector<PP>;
const ll inf=1001001001001001001;
const ll INF=1001001001;
const ll mod=1000000007;
const double eps=1e-10;
template<class T> bool chmin(T&a,T b){if(a>b){a=b;return true;}return false;}
template<class T> bool chmax(T&a,T b){if(a<b){a=b;return true;}return false;}
template<class T> void out(T a){cout<<a<<'\n';}
template<class T> void outp(T a){cout<<'('<<a.fi<<','<<a.se<<')'<<'\n';}
template<class T> void outvp(T v){rep(i,v.size())cout<<'('<<v[i].fi<<','<<v[i].se<<')';cout<<'\n';}
template<class T> void outvvp(T v){rep(i,v.size())outvp(v[i]);}
template<class T> void outv(T v){rep(i,v.size()){if(i)cout<<' ';cout<<v[i];}cout<<'\n';}
template<class T> void outvv(T v){rep(i,v.size())outv(v[i]);}
template<class T> bool isin(T x,T l,T r){return (l)<=(x)&&(x)<=(r);}
template<class T> void yesno(T b){if(b)out("yes");else out("no");}
template<class T> void YesNo(T b){if(b)out("Yes");else out("No");}
template<class T> void YESNO(T b){if(b)out("YES");else out("NO");}
template<class T> void noyes(T b){if(b)out("no");else out("yes");}
template<class T> void NoYes(T b){if(b)out("No");else out("Yes");}
template<class T> void NOYES(T b){if(b)out("NO");else out("YES");}
void outs(ll a,ll b){if(a>=inf-100)out(b);else out(a);}
ll gcd(ll a,ll b){if(b==0)return a;return gcd(b,a%b);}
ll modpow(ll a,ll b){ll res=1;a%=mod;while(b){if(b&1)res=res*a%mod;a=a*a%mod;b>>=1;}return res;}
class segtree{
ll N=1;
vvp seg;
public:
segtree(ll n){
while(N<n)N*=2;
seg=vvp(N*2-1);
}
void add(ll k,P p){
if(p.se==2)seg[k]=vp(1,p);
else if(seg[k].size()==0)seg[k].pb(p);
else if(seg[k].size()==1){
if(seg[k][0].se==2){
if(p.fi*p.se>seg[k][0].fi*p.se)seg[k][0].fi=p.fi;
}
else if(seg[k][0].se==p.se){
if(p.fi*p.se>seg[k][0].fi*p.se)seg[k][0].fi=p.fi;
}
else if(p.fi*p.se>seg[k][0].fi*p.se)seg[k][0]=P(p.fi,2);
else seg[k].pb(p);
}
else{
if(p.se!=seg[k][1].se)swap(seg[k][0],seg[k][1]);
if(p.fi*p.se>seg[k][1].fi*p.se){
seg[k].pop_back();add(k,p);
}
}
}
void eval(ll k){
for(P p:seg[k])add(k*2+1,p);
for(P p:seg[k])add(k*2+2,p);
seg[k]=vp(0);
}
void update(P x,ll a,ll b,ll k=0,ll l=0,ll r=-1){
if(r==-1)r=N;
if(a<=l&&r<=b){
add(k,x);
return;
}
if(r<=a||b<=l)return;
eval(k);
update(x,a,b,k*2+1,l,(l+r)/2);
update(x,a,b,k*2+2,(l+r)/2,r);
}
vi g(ll n){
vi res(n);
rep(i,N-1)eval(i);
rep(i,n){
for(auto x:seg[i+N-1]){
if(x.se==2)res[i]=x.fi;
if(x.se==1)chmax(res[i],x.fi);
if(x.se==-1)chmin(res[i],x.fi);
}
}
return res;
}
};
void buildWall(int n,int k,int op[],int left[],int right[],int height[],int finalHeight[]){
segtree seg(n);
rep(i,k)if(op[i]==2)op[i]=-1;
rep(i,k)seg.update(P(height[i],op[i]),left[i],right[i]+1);
vi res=seg.g(n);
rep(i,n)finalHeight[i]=res[i];
}
/*
int main(){
ll n,k;cin>>n>>k;
int op[100],l[100],r[100],h[100],res[100];
rep(i,k)cin>>op[i]>>l[i]>>r[i]>>h[i];
buildWall(n,k,op,l,r,h,res);
rep(i,n)cout<<res[i]<<' ';
}*/
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