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 eu(a,b,t):
    if a==t:return 1,0
    if b==t:return 0,1
    if a==0:return 0,t//b
    if b==0:return t//a,0
    if a>0:sa=1
    else:sa=-1
    if b>0:sb=1
    else:sb=-1
    a,b=abs(a),abs(b)
    if a>b:
        x,y=eu(a%b,b,t)
        return sa*x,sb*(y-(a//b)*x)
    x,y=eu(a,b%a,t)
    return sa*(x-(b//a)*y),sb*y

from math import gcd
a,b,c=[int(i) for i in input().split()]
t=gcd(a,b)
if c%t:print(-1)
else:
    x,y=eu(a,b,gcd(a,b))
    print(-x*c//t,-y*c//t)