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>
long long a, b, c, d, x, y;
bool A, B, C;
void exgcd(long long a, long long b, long long &x, long long &y) {
  if (b == 0) {
    d = a;
    x = 1;
    y = 0;
    return;
  }
  exgcd(b, a % b, y, x);
  y -= (a / b) * x;
}
int main() {
  scanf("%lld%lld%lld", &a, &b, &c);
  if (a < 0) a = -a, A = 1;
  if (b < 0) b = -b, B = 1;
  c = -c;
  exgcd(a, b, x, y);
  if (c % d) {
    printf("-1");
    return 0;
  }
  c /= d;
  x *= c;
  y *= c;
  if (A) x = -x;
  if (B) y = -y;
  printf("%lld %lld", x, y);
}