linear_equation

using namespace std;
int (int a, int b, int& x, int& y)
{
    if(b == 0)
    {
        x = 1;
        y = 0;
        return a;
    }
    int r = exgcd(b, a % b, x, y);
    int t = x;
    x = y;
    y = t - (a / b) * y;
    return r;
}
bool linear_equation(int a, int b, int c, int &x, int &y)
{
    int d = exgcd(a, b, x, y);
    if(c % d)
        return false;
    int k = c / d;
    x *= k; y *= k;
    return true;
}
int main(int argc, char const *argv[])
{
    int x, y;
    if(linear_equation(47, 30, 1, x, y))
        cout << x << " " << y << endl;
    return 0;
}