Cod sursa(job #3172512)

Utilizator CataNUCatalin Moldovan CataNU Data 20 noiembrie 2023 19:54:47
Problema Algoritmul lui Euclid extins Scor 100
Compilator cpp-64 Status done
Runda Arhiva educationala Marime 0.87 kb
#include <iostream>
#include <fstream>
#include <cassert>
using namespace std;
int gcd(int A, int B, int &X, int &Y) {
    if (B == 0) {
        X = 1;
        Y = 0;
        return A;
    }

    int X0, Y0, D;
    D = gcd(B, A % B, X0, Y0);

    X = Y0;
    Y = X0 - (A / B) * Y0;
    return D;
}

int main() {
        ifstream fin("euclid3.in");
        ofstream fout("euclid3.out");

    int T;
    for (fin >> T; T; T--) {
        int A, B, C;
            fin >> A >> B >> C;

        assert(-1000000000 <= A && A <= 1000000000);
        assert(-1000000000 <= B && B <= 1000000000);
        assert(-2000000000 <= C && C <= 2000000000 && C != 0);

        int D, X, Y;
        D = gcd(A, B, X, Y);

        if (C % D)
            fout << "0 0\n";
        else
            fout << X * (C / D) << " " << Y * (C / D) << "\n";
    }

    return 0;
}