이 제출은 이전 버전의 oj.uz에서 채점하였습니다. 현재는 제출 당시와는 다른 서버에서 채점을 하기 때문에, 다시 제출하면 결과가 달라질 수도 있습니다.
#pragma GCC optimize("O3,unroll-loops")
#pragma GCC target("avx,popcnt,sse4,abm")
#include<bits/stdc++.h>
//#define int long long
#define quick ios::sync_with_stdio(0);cin.tie(0);
#define rep(x,a,b) for(int x=a;x<=b;x++)
#define repd(x,a,b) for(int x=a;x>=b;x--)
#define lowbit(x) (x&-x)
#define sz(x) (int)(x.size())
#define F first
#define S second
#define all(x) x.begin(),x.end()
#define mp make_pair
#define eb emplace_back
using namespace std;
typedef pair<int,int> pii;
void debug(){
cout<<"\n";
}
template <class T,class ... U >
void debug(T a, U ... b){
cout<<a<<" ",debug(b...);
}
const int N=2e5+7;
const int INF=1e9;
int bit[N];
int x[N];
int y[N];
int z[N];
vector<pii> v[N];
int yz[N];
void upd(int x,int val){
for(;x<N;x+=lowbit(x)) bit[x]=max(bit[x],val);
}
int qry(int x){
int ret=0;
for(;x>0;x-=lowbit(x)) ret=max(ret,bit[x]);
return ret;
}
signed main(){
quick
int n;
cin>>n;
vector<int> vx;
vector<int> vy;
vector<int> vz;
rep(i,0,n-1){
cin>>x[i]>>y[i]>>z[i];
vx.eb(x[i]);
vy.eb(y[i]);
vz.eb(z[i]);
}
sort(all(vx));
sort(all(vy));
sort(all(vz));
vx.erase(unique(all(vx)),vx.end());
vy.erase(unique(all(vy)),vy.end());
vz.erase(unique(all(vz)),vz.end());
int ans=-1;
rep(i,0,n-1){
x[i]=upper_bound(all(vx),x[i])-vx.begin();
y[i]=upper_bound(all(vy),y[i])-vy.begin();
z[i]=upper_bound(all(vz),z[i])-vz.begin();
v[x[i]].eb(mp(y[i],z[i]));
yz[y[i]]=INF;
}
int Best=-1;
rep(i,1,sz(vx)){
for(pii p2:v[i]){
if(Best>p2.F&&qry(Best-1)>p2.S){
ans=max(ans,vx[i-1]+vy[Best-1]+vz[qry(Best-1)-1]);
}
}
for(pii p2:v[i]){
yz[p2.F]=min(yz[p2.F],p2.S);
if(qry(p2.F-1)>yz[p2.F]){
Best=max(Best,p2.F);
}
upd(p2.F,p2.S);
}
}
cout<<ans<<"\n";
return 0;
}
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