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 exgcd(a, b):
    if b==0:
        return 1,0,a
    x,y,d=exgcd(b,a%b)
    return y,x-y*(a/b),d
a,b,c=map(int, raw_input().split() )
x,y,d=exgcd(a,b)
if c%d !=0 :
    print -1
else:
    x,y=-x*c/d,-y*c/d
    print x,y