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 = map(int, input().split())

r0, r1, s0, s1, t0, t1 = a, b, 1, 0, 0, 1

while r1:

    q, r2 = divmod(r0, r1)

    r0, r1 = r1, r2

    s0, s1 = s1, s0 - q * s1

    t0, t1 = t1, t0 - q * t1

if c % r0:

    print('-1')

else:

    print(s0 * -c // r0, t0 * -c // r0)



# Made By Mostafa_Khaled