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:
x0=1
y0=1
d=0
def euclides(a,b):
    global x0,y0,d
    if b==0:
        x0=1
        y0=0
        d=a
        return
    euclides(b,a%b)
    x1=y0
    y1=x0-(a//b)*y0
    x0=x1
    y0=y1

a,b,c=map(int,input().split())
euclides(a,b)
if c%d!=0:
    print(-1)
else:
    x_sol=-c*x0//d
    y_sol=-c*y0//d
    if -5 * (10 ** 18) <= x_sol and x_sol <= 5 * (10 ** 18) and -5 * (10 ** 18) <= y_sol and y_sol <= 5 * (10 ** 18):
        print("{} {}".format(x_sol, y_sol))
    else:
        print(-1)