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 F(a, b):
    if not b:
        return (a, 1, 0)
    r, x, y = F(b, a % b)
    return (r, y, x - a / b * y)

A, B, C = map(int, raw_input().split())
c, x, y = F(A, B)
if C % c:
    print -1
else:
    C /= -c
    print x * C, y * C