You have been given three Integers a, b and k. you need to find an integral solution of x and y such that a*x + b*y= k * gcd(a,b). It can be proven that solution always exist.
Input Format
The first line contains 3 integer a, b and k.
Output Format
output integral value of x and y in a single line.
Constraints
1 <= a, b, k <= 10^6
Example
Input
3 5 8
Output
16 -8