#include <algorithm>
#include <iostream>
#include <climits>
#include <vector>
#include <deque>
#include <queue>
#include <stack>
#include <map>
#include <set>
#include <iomanip>
#include <cassert>
#include <random>
#include <chrono>
// #pragma GCC optimize("O3,unroll-loops")
// #pragma GCC target("avx2,bmi,bmi2,lzcnt,popcnt")
using ull = unsigned long long;
using ll = long long;
//#define int __int128
//#define int ll
#define pii pair <int, int>
#define all(a) (a).begin(), (a).end()
#define fr first
#define sc second
#define pb push_back
#define lb lower_bound
#define ub upper_bound
#define vt vector
#define FOR(a, b) for(int i = (a); i <= (b); i++)
#define FORr(a, b) for(int i = (a); i >= (b); i--)
#define sz(x) (int)(x).size()
#define YES cout << "YES\n"
#define NO cout << "NO\n"
using namespace std;
mt19937 rng(chrono::steady_clock::now().time_since_epoch().count());
int rangerng(int l, int r){
return uniform_int_distribution<>(l, r)(rng);
}
////////////////////////////////////////////////////////////////////////////////////
const int NMAX = 150000;
struct obj{
int x, y, z;
}v[NMAX + 1];
map <pii, set <int>> llo, lol, oll;
multiset <int> fx, fy, fz;
void del(int ind){
fx.erase(fx.find(v[ind].x));
fy.erase(fy.find(v[ind].y));
fz.erase(fz.find(v[ind].z));
llo[{v[ind].x, v[ind].y}].erase(ind);
lol[{v[ind].x, v[ind].z}].erase(ind);
oll[{v[ind].y, v[ind].z}].erase(ind);
}
void solve(){
int n;
cin >> n;
for(int i = 1; i <= n; i++){
cin >> v[i].x >> v[i].y >> v[i].z;
llo[{v[i].x, v[i].y}].insert(i);
lol[{v[i].x, v[i].z}].insert(i);
oll[{v[i].y, v[i].z}].insert(i);
fx.insert(v[i].x);
fy.insert(v[i].y);
fz.insert(v[i].z);
}
while(true){
bool found = 0;
int maxX, maxY, maxZ;
if(fx.empty() || fy.empty() || fz.empty()){
break;
}
maxX = (*fx.rbegin());
maxY = (*fy.rbegin());
for(int ind : llo[{maxX, maxY}]){
found = 1;
del(ind);
}
if(fx.empty() || fy.empty() || fz.empty()){
break;
}
maxX = (*fx.rbegin());
maxZ = (*fz.rbegin());
for(int ind : lol[{maxX, maxZ}]){
found = 1;
del(ind);
}
if(fx.empty() || fy.empty() || fz.empty()){
break;
}
maxY = (*fy.rbegin());
maxZ = (*fz.rbegin());
for(int ind : oll[{maxY, maxZ}]){
found = 1;
del(ind);
}
if(!found){
break;
}
}
if(sz(fx) < 3){
cout << -1 << '\n';
return;
}
int sum = (*fx.rbegin()) + (*fy.rbegin()) + (*fz.rbegin());
cout << sum << '\n';
}
signed main(){
ios_base::sync_with_stdio(false);
cin.tie(0);
int T;
//cin >> T;
T = 1;
while(T--){
solve();
}
return 0;
}
/*
4
1 2 3
1 2 3
1 2 3
1 2 3
*/
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Runtime error |
1 ms |
604 KB |
Execution killed with signal 6 |
2 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Runtime error |
1 ms |
604 KB |
Execution killed with signal 6 |
2 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Runtime error |
1 ms |
604 KB |
Execution killed with signal 6 |
2 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Runtime error |
1 ms |
604 KB |
Execution killed with signal 6 |
2 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Runtime error |
1 ms |
604 KB |
Execution killed with signal 6 |
2 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Runtime error |
1 ms |
604 KB |
Execution killed with signal 6 |
2 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Runtime error |
1 ms |
604 KB |
Execution killed with signal 6 |
2 |
Halted |
0 ms |
0 KB |
- |