Cod sursa(job #3283207)

Utilizator Sorin_GabrielGabara Sorin Gabriel Sorin_Gabriel Data 8 martie 2025 16:41:30
Problema Algoritmul lui Euclid extins Scor 0
Compilator cpp-64 Status done
Runda Arhiva educationala Marime 1.1 kb
#include <iostream>
#include <bits/stdc++.h>
#define int long long int
using namespace std;
ifstream fin ("euclid3.in");
ofstream fout ("euclid3.out");

int mod = 1000000007;
vector<int> cifre;

struct nr{
int a,b;
};

pair<int,nr> euclid_extins(int a, int b, nr Va, nr Vb)
{
    if(b==0)
        return {a,Va}; // returneaza cmmdc si V(d)
    int catul,rest;
    catul=a/b;
    rest=a%b;
    nr Vr; // Vr = Va*q - Vb, care vine din Va = Vb*catul + V_rest teorema impartrii cu rest
    Vr.a = Va.a * catul - Vb.a;
    Vr.b = Va.b * catul - Vb.b;
    return euclid_extins(b,rest,Vb,Vr);

}

signed main()
{
    int n,m,i,j,k,t,q,minim,maxim,suma,a,b,c,d;
    pair<int,nr> raspuns;
    nr Va,Vb;
    din>>t;
    while(t--)
    {
        din>>a>>b>>c;
        Va.a=1;
        Va.b=0;
        Vb.a=0;
        Vb.b=1;
        raspuns = euclid_extins(a,b,Va,Vb);
        d = raspuns.first;
        if(c%d==0)
        {
            fout<<raspuns.second.a * c/d << ' ' << raspuns.second.b * c/d << '\n';
        }
        else
            fout<<"0 0\n";

    }


    return 0;
}