The package for this problem was not updated by the problem writer or Codeforces administration after we've upgraded the judging servers. To adjust the time limit constraint, a solution execution time will be multiplied by 2. For example, if your solution works for 400 ms on judging servers, then the value 800 ms will be displayed and used to determine the verdict.

Codeforces Beta Round 7 |
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Finished |

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math

number theory

*1800

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C. Line

time limit per test

1 secondmemory limit per test

256 megabytesinput

standard inputoutput

standard outputA 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 - 5·10^{18} to 5·10^{18} inclusive, or to find out that such points do not exist.

Input

The first line contains three integers *A*, *B* and *C* ( - 2·10^{9} ≤ *A*, *B*, *C* ≤ 2·10^{9}) — corresponding coefficients of the line equation. It is guaranteed that *A*^{2} + *B*^{2} > 0.

Output

If the required point exists, output its coordinates, otherwise output -1.

Examples

Input

2 5 3

Output

6 -3

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