Problem: A line on the plane is described by an equation Ax + By + C = 0. You are to find any point on this line, whose coordinates are integer numbers from  - 5·1018 to 5·1018 inclusive, or to find out that such points do not exist.

Input

The first line contains three integers A, B and C ( - 2·109 ≤ A, B, C ≤ 2·109) — corresponding coefficients of the line equation. It is guaranteed that A2 + B2 > 0.

Output

If the required point exists, output its coordinates, otherwise output -1.

Examples

Input

2 5 3


Output

6 -3

Solution (in CPP):

Solution:
#include <bits/stdc++.h>
using namespace std;
long long int ExtGcd(long long int a, long long int b, long long int &x,
                     long long int &y) {
  if (b == 0) {
    x = 1;
    y = 0;
    return a;
  }
  long long int x1, y1;
  long long int d = ExtGcd(b, a % b, x1, y1);
  x = y1;
  y = x1 - (a / b) * y1;
  return d;
}
int main() {
  long long int a, b, c;
  cin >> a >> b >> c;
  long long int x, y;
  long long int d = ExtGcd(a, b, x, y);
  if (c % d) {
    cout << -1 << endl;
  } else {
    cout << -(long long int)(c / d) * x << " " << -(long long int)(c / d) * y
         << endl;
  }
}