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Cod sursa(job #743009)
#include <fstream>
#include <cassert>
using namespace std;
ifstream fin("euclid3.in");
ofstream fout("euclid3.out");
int gcd(int a, int b, int &x, int &y);
int main()
{
int a, b, c, x, y, n, d;
fin >> n;
assert( n <= 100 );
for(int i = 1; i <= n; i++)
{
fin >> a >> b >> c;
assert( -1000000000 <= a && a <= 1000000000 );
assert( -1000000000 <= b && b <= 1000000000 );
assert( -2000000000 <= c && c <= 2000000000 && c != 0 );
d = gcd(a, b, x, y);
if(c % d)
fout << 0 << " " << 0 << '\n';
else
fout << x * (c / d) << " " << y * (c / d) << '\n';
}
return 0;
}
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;
}