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 PYTHON):

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,raw_input().split())
x,y,g=E(a,b)
C=-c/g
print -1 if c%g else "%s %s"%(C*x,C*y)