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>
#define debug(x) cerr << #x << " " << x << "\n"
#define debugs(x) cerr << #x << " " << x << " "
#pragma GCC optimize ("Ofast")
#pragma GCC target ("avx2")
using namespace std;
typedef long long ll;
typedef pair <ll, ll> pii;
const ll NMAX = 150005;
const ll INF = 1e9;
const ll nrbits = 20;
const ll MOD = 998244353;
set <int> x[NMAX];
vector <int> nx;
set <int> y[NMAX];
vector <int> ny;
set <int> z[NMAX];
vector <int> nz;
int xx[NMAX], yy[NMAX], zz[NMAX];
void nrm(vector <int> &x) {
    sort(x.begin(), x.end());
    x.erase(unique(x.begin(), x.end()), x.end());
}
int f[NMAX];
void sterge(set <int> &s, int x){
    if(s.find(x) != s.end())
    s.erase(x);
}
void totalDelete(int acum) {
    sterge(x[xx[acum]], acum);
    sterge(y[yy[acum]], acum);
    sterge(z[zz[acum]], acum);
}
signed main() {
#ifdef HOME
    ifstream cin(".in");
    ofstream cout(".out");
#endif // HOME
    ios_base::sync_with_stdio(false);
    cin.tie(0);
    cout.tie(0);
    int i, n;
    cin >> n;
    for(i = 1; i <= n; i++) {
        cin >> xx[i] >> yy[i] >> zz[i];
        nx.push_back(xx[i]);
        ny.push_back(yy[i]);
        nz.push_back(zz[i]);
    }
    nrm(nx);
    nrm(ny);
    nrm(nz);
    for(i = 1; i <= n; i++) {
        xx[i] = lower_bound(nx.begin(), nx.end(), xx[i]) - nx.begin() + 1;
        yy[i] = lower_bound(ny.begin(), ny.end(), yy[i]) - ny.begin() + 1;
        zz[i] = lower_bound(nz.begin(), nz.end(), zz[i]) - nz.begin() + 1;
        x[xx[i]].insert(i);
        y[yy[i]].insert(i);
        z[zz[i]].insert(i);
    }
    int indx = nx.size(), indy = ny.size(), indz = nz.size();
    vector <int> toDel;
    for(auto acum : x[indx]) {
        f[acum]++;
        if(f[acum] > 1) {
            toDel.push_back(acum);
        }
    }
    for(auto acum : y[indy]) {
        f[acum]++;
        if(f[acum] > 1) {
            toDel.push_back(acum);
        }
    }
    for(auto acum : z[indz]) {
        f[acum]++;
        if(f[acum] > 1) {
            toDel.push_back(acum);
        }
    }
    for(auto acum : toDel) {
        totalDelete(acum);
    }
    int oke = 1;
    while(oke && indx > 0 && indy > 0 && indz > 0) {
        oke = 0;
        while(indx > 0 && x[indx].size() == 0) {
            toDel.clear(); /// Normal ca da TLE
            indx--;
            oke = 1;
            for(auto acum : x[indx]) {
                f[acum]++;
                if(f[acum] > 1) {
                    toDel.push_back(acum);
                }
            }
            for(auto acum : toDel) {
                totalDelete(acum);
            }
        }
        while(indy > 0 && y[indy].size() == 0) {
            toDel.clear(); /// Normal ca da TLE
            indy--;
            oke = 1;
            for(auto acum : y[indy]) {
                f[acum]++;
                if(f[acum] > 1) {
                    toDel.push_back(acum);
                }
            }
            for(auto acum : toDel) {
                totalDelete(acum);
            }
        }
        while(indz > 0 && z[indz].size() == 0) {
            toDel.clear(); /// Normal ca da TLE
            indz--;
            oke = 1;
            for(auto acum : z[indz]) {
                f[acum]++;
                if(f[acum] > 1) {
                    toDel.push_back(acum);
                }
            }
            for(auto acum : toDel) {
                totalDelete(acum);
            }
        }
    }
    if(indx > 0 && indy > 0 && indz > 0) {
        cout << nx[indx - 1] + ny[indy - 1] + nz[indz - 1];
    } else {
        cout << "-1";
    }
    return 0;
}
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