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 extgcd(a,b):
    if(a==0):
        return 0,1,b
    
    x,y,g = extgcd(b%a,a)
    return y - (b/a)*x , x , g

a,b,c = map(int,raw_input().split())

x,y,g = extgcd(a,b)

if(c%g==0):
    c/=g
    print -x*c,-y*c
else : print -1