이 제출은 이전 버전의 oj.uz에서 채점하였습니다. 현재는 제출 당시와는 다른 서버에서 채점을 하기 때문에, 다시 제출하면 결과가 달라질 수도 있습니다.
#include<bits/stdc++.h>
using namespace std;
#define x first
#define y second
#define pii pair<int,int>
#define all(x) x.begin(),x.end()
const int INF=1e9;
signed main(){
ios_base::sync_with_stdio(false);
cin.tie(0);
int n;cin>>n;
vector<pair<int,pii>> v(n);
for(int i=0;i<n;i++){
cin>>v[i].x>>v[i].y.x>>v[i].y.y;
}
sort(all(v));
vector<pii> q;
set<pii> s,c,c1;
int ans=-1;
for(int i=0;i<n;i++){
pii t=v[i].y;
if(i>0&&v[i].x>v[i-1].x){
//random_shuffle(all(q));
for(auto t:q){
auto it=c.lower_bound({t.x,0});
if(it!=c.begin()&&(*prev(it)).y>t.y){
continue;
}
c.insert(t);
it=c.lower_bound(t);
it++;
while(it!=c.end()){
if(t.y>=(*it).y){
c.erase(it);
it=c.lower_bound(t);
it++;
}
else{
break;
}
}
}
for(auto t:q){
auto it=c.lower_bound({t.x,0});
int tmp=-1;
if(it!=c.begin()&&(*prev(it)).y>t.y){
tmp=(*prev(it)).y;
}
if(tmp==-1){
continue;
}
//cout<<tmp<<endl;
s.insert({t.x,tmp});
}
for(auto t:q){
swap(t.x,t.y);
auto it=c1.lower_bound({t.x,0});
if(it!=c1.begin()&&(*prev(it)).y>t.y){
continue;
}
c1.insert(t);
it=c1.lower_bound(t);
it++;
while(it!=c1.end()){
if(t.y>=(*it).y){
c1.erase(it);
it=c1.lower_bound(t);
it++;
}
else{
break;
}
}
}
for(auto t:q){
swap(t.x,t.y);
auto it=c1.lower_bound({t.x,0});
int tmp=-1;
if(it!=c1.begin()&&(*prev(it)).y>t.y){
tmp=(*prev(it)).y;
}
if(tmp==-1){
continue;
}
s.insert({tmp,t.x});
}
while(s.size()>1){
s.erase(s.begin());
}
q.clear();
}
q.push_back(v[i].y);
auto it=s.upper_bound({t.x,INF});
if(it==s.end()||(*it).y<=t.y){
continue;
}
//cout<<v[i].x<<' '<<(*it).x<<' '<<(*it).y<<endl;
ans=max(ans,v[i].x+(*it).x+(*it).y);
}
/*for(auto e:c1){
cout<<e.x<<' '<<e.y<<endl;
}
for(auto e:s){
cout<<e.x<<' '<<e.y<<endl;
}*/
cout<<ans<<endl;
return 0;
}
/*
5
1 4 3
3 1 2
5 5 1
4 2 4
2 3 5
*/
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