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:

global x,y,q

def egcd(a,b):
	global x,y,q
	if b == 0:
		x = 1
		y = 0
		q = a
	else:
		egcd(b,a%b)
		tmp = x
		x = y
		y = tmp - a / b * y

a,b,c = map(int,raw_input().split(' '))

egcd(a,b)
g = q
if (-c) % g == 0:
	t = (-c) / g
	print x * t, y * t
else:
	print -1