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:
import math


def ii(): return int(input())


def ill(): return input().split(' ')


def ili(): return [int(i) for i in input().split(' ')]


def ilis(): return (int(i) for i in input().split(' '))


def gcd(a, b): return a if b == 0 else gcd(b, a % b)


def extgcd(a, b, x=0, y=0):
    if b == 0:
        return (a, 1, 0)
    d, m, n = extgcd(b, a % b, x, y)
    return (d, n, m-(a//b)*n)


def main():
    a, b, c = ilis()
    d, x, y = extgcd(abs(a), abs(b))
    if abs(c) % d == 0:
        x *= (-c) // d
        y *= (-c) // d
        if a < 0:
            x = -x
        if b < 0:
            y = -y
        print(x, y)
        return
    else:
        print(-1)
        return


if __name__ == "__main__":
    main()