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:
from math import gcd
def evc(a, b):
    if a == 0:
        return [0, 1, b]
    x, y, g = evc(b % a, a)
    return [y - (b // a) * x, x, g]
    
a, b, c = map(int, input().split())
cur = evc(a, b)
if c % cur[2]:
    print(-1)
else:
    k = -c // cur[2]
    print(cur[0] * k, cur[1] * k)