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

a, b, c = map(int, raw_input().split())
x, y, g = egcd(a, b)
if c % g: print '-1'
else:
	c /= g
	print -x * c, -y * c