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:
a, b, c = (int(x) for x in input().split())

x, x1 = 1, 0
y, y1 = 0, 1

while b != 0:
    q = a // b
    a, b = b, a % b
    x, x1 = x1, x - q * x1
    y, y1 = y1, y - q * y1

if c % a == 0:
    x *= -c // a
    y *= -c // a
    
    mn = -5 * 10 ** 18
    mx = 5 * 10 ** 18
    
    if mn <= x <= mx and mn <= y <= mx:
        print(x, y)
    else:
        print(-1)
else:
    print(-1)