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>
#define MAXN 150007
using namespace std;
int n;
int a[MAXN],b[MAXN],c[MAXN];
int sa[MAXN],sb[MAXN],sc[MAXN],pta,ptb,ptc;
bool bad[MAXN];
bool cmpa(int x,int y){
return a[x]<a[y];
}
bool cmpb(int x,int y){
return b[x]<b[y];
}
bool cmpc(int x,int y){
return c[x]<c[y];
}
int main(){
cin>>n;
for(int i=1;i<=n;i++){
cin>>a[i]>>b[i]>>c[i];
sa[i]=sb[i]=sc[i]=i;
}
sort(sa+1,sa+n+1,cmpa);
sort(sb+1,sb+n+1,cmpb);
sort(sc+1,sc+n+1,cmpc);
pta=ptb=ptc=n;
while(pta>=1 and ptb>=1 and ptc>=1){
if(b[sa[pta]]==b[sb[ptb]] or c[sa[pta]]==c[sc[ptc]]){
bad[sa[pta]]=true; pta--;
}else if(a[sb[ptb]]==a[sa[pta]] or c[sb[ptb]]==c[sc[ptc]]){
bad[sb[ptb]]=true; ptb--;
}else if(b[sb[ptb]]==b[sc[ptc]] or a[sa[pta]]==a[sc[ptc]]){
bad[sc[ptc]]=true; ptc--;
}else break;
while(bad[sa[pta]])pta--;
while(bad[sb[ptb]])ptb--;
while(bad[sc[ptc]])ptc--;
}
if(pta==0 or ptb==0 or ptc==0){
cout<<"-1\n";
}else{
cout<<a[sa[pta]]+b[sb[ptb]]+c[sc[ptc]]<<"\n";
}
return 0;
}
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