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:
import sys
def ExGcd(a,b):
	if b==0:
		return 1,0,a
	x,y,d=ExGcd(b,a%b)
	return y,x-(a/b)*y,d

A,B,C=map(int,raw_input().split(' '))
x,y,d=ExGcd(A,B)
if C%d!=0:
	print -1
else:
	d=-C/d;
	print x*d,y*d