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 PYTHON3):

Solution:
def e(a,b):
  if not a:
    return 0, 1, b
  x, y, g = e(b%a, a)
  return y - (b//a)*x, x, g
a,b,c = map(int, input().split())
x,y,g = e(a,b)
C = -c//g
print(-1) if c%g else print(C*x, C*y)