Submission #1058901

#TimeUsernameProblemLanguageResultExecution timeMemory
1058901TrinhKhanhDungTeam Contest (JOI22_team)C++14
100 / 100
78 ms9924 KiB
#include <bits/stdc++.h>
#define ll long long
#define fi first
#define se second
#define sz(x) (int)x.size()
#define ALL(v) v.begin(),v.end()
#define MASK(k) (1LL << (k))
#define BIT(x, i) (((x) >> (i)) & 1)
#define oo (ll)1e18
#define INF (ll)1e9
#define MOD (ll)(998244353)

using namespace std;

template<class T1, class T2>
    bool maximize(T1 &a, T2 b){if(a < b){a = b; return true;} return false;}

template<class T1, class T2>
    bool minimize(T1 &a, T2 b){if(a > b){a = b; return true;} return false;}

template<class T1, class T2>
    void add(T1 &a, T2 b){a += b; if(a >= MOD) a -= MOD;}

template<class T1, class T2>
    void sub(T1 &a, T2 b){a -= b; if(a < 0) a += MOD;}

template<class T>
    void cps(T &v){sort(ALL(v)); v.resize(unique(ALL(v)) - v.begin());}

const int MAX = 15e4 + 10;

int N;
int x[MAX], y[MAX], z[MAX];
bool ok[MAX];
vector<pair<int, int>> v1, v2, v3;

void solve(){
    cin >> N;
    for(int i=1; i<=N; i++){
        cin >> x[i] >> y[i] >> z[i];
        v1.push_back(make_pair(x[i], i));
        v2.push_back(make_pair(y[i], i));
        v3.push_back(make_pair(z[i], i));
    }

    sort(ALL(v1));
    sort(ALL(v2));
    sort(ALL(v3));

    while(sz(v1) && sz(v2) && sz(v3)){
        vector<int> ord;
        ord.push_back(v1.back().se);
        ord.push_back(v2.back().se);
        ord.push_back(v3.back().se);

        bool check = true;

        for(int k: ord){
            int d = 0;
            if(v1.back().fi == x[k]) d++;
            if(v2.back().fi == y[k]) d++;
            if(v3.back().fi == z[k]) d++;
            if(d > 1) ok[k] = true;
        }

        if(ok[v1.back().se]){
            v1.pop_back();
            check = false;
        }

        if(ok[v2.back().se]){
            v2.pop_back();
            check = false;
        }

        if(ok[v3.back().se]){
            v3.pop_back();
            check = false;
        }

        if(check){
            cout << 1LL * v1.back().fi + v2.back().fi + v3.back().fi << '\n';
            return;
        }
    }
    cout << "-1\n";
}

int main(){
    ios_base::sync_with_stdio(0); cin.tie(0);
//    freopen("minimum.inp", "r", stdin);
//    freopen("minimum.out", "w", stdout);

    int t = 1;
    while(t--){
        solve();
    }

    return 0;
}
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