제출 #1075962

#제출 시각아이디문제언어결과실행 시간메모리
1075962oscar1fPortal (BOI24_portal)C++17
1 / 100
72 ms3672 KiB
#include<bits/stdc++.h>
using namespace std;

#define int long long

const int TAILLE_MAX=100*1000+5;
int nbPort,ligPrem,colPrem;
int mat[2][TAILLE_MAX];
vector<int> listeNonNul;

void echange(int colDeb,int colFin) {
    swap(mat[0][colDeb],mat[0][colFin]);
    swap(mat[1][colDeb],mat[1][colFin]);
}

void posit(int col) {
    if (mat[0][col]<0) {
        mat[0][col]*=-1;
        mat[1][col]*=-1;
    }
}

void modif(int colModif,int colAj,int coeff) {
    mat[0][colModif]+=coeff*mat[0][colAj];
    mat[1][colModif]+=coeff*mat[1][colAj];
}

void calc(int colDeb,int colFin) {
    posit(colDeb);
    posit(colFin);
    if (mat[0][colDeb]<mat[0][colFin]) {
        echange(colDeb,colFin);
    }
    while (mat[0][colFin]>0) {
        modif(colDeb,colFin,mat[0][colDeb]/mat[0][colFin]);
        echange(colDeb,colFin);
    }
}

int pgcd(vector<int> v) {
    int ans=v[0];
    for (int i=1;i<(int)v.size();i++) {
        ans=gcd(ans,v[i]);
    }
    return ans;
}

signed main() {
    ios_base::sync_with_stdio(false);
    cin.tie(NULL);
    cout.tie(NULL);
    cin>>nbPort;
    cin>>colPrem>>ligPrem;
    if (nbPort<=2) {
        cout<<-1<<endl;
        return 0;
    }
    int colNouv,ligNouv;
    for (int i=0;i<nbPort-1;i++) {
        cin>>colNouv>>ligNouv;
        mat[0][i]=ligNouv-ligPrem;
        mat[1][i]=colNouv-colPrem;
    }
    for (int i=1;i<nbPort-1;i++) {
        calc(0,i);
        if (mat[1][i]!=0) {
            listeNonNul.push_back(abs(mat[1][i]));
        }
    }
    if (listeNonNul.empty()) {
        cout<<-1<<endl;
    }
    else {
        cout<<abs(mat[0][0]*pgcd(listeNonNul))<<endl;
    }
    return 0;
}
  
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