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 JAVA):

Solution:
import java.util.*;
import java.io.*;

public class Solution implements Runnable {
    
    public static void main(String[] args) {
        new Thread(new Solution()).start();
    }
    public void run() {
        try {
            solve();
        } catch (Exception e) {
            e.printStackTrace();
            throw new RuntimeException(e.toString());
        }
    }
    
    String next() throws Exception {
        while (tok == null || !tok.hasMoreTokens())
            tok = new StringTokenizer(cin.readLine());
        return tok.nextToken();
    }
    
    int nextInt() throws Exception {
        return Integer.parseInt(next());
    }
    
    BufferedReader cin;
    PrintWriter cout;
    StringTokenizer tok;
    
    long x, y, d;
    long a, b, c;
    
    String getIt() {
        exEuc(a, b);
        
        if (c % d != 0) return "-1";
        
        long mlp = c / d;
        
        x *= mlp;
        y *= mlp;
        
        return x + " " + y;
    }
    
    
    private void exEuc(long a, long b) {
        if (b == 0) {
            d = a;
            x = 1;
            y = 0;
            return;
        }
        exEuc(b, a % b);
    
        long t = x;
        x = y;
        y = t - a / b * y;
    }
    private void solve() throws Exception {
        cin = new BufferedReader(new InputStreamReader(System.in));
        cout = new PrintWriter(System.out);
        
        a = nextInt();
        b = nextInt();
        c = -nextInt();
        
        cout.println(getIt());
        
        cin.close();
        cout.close();
    }

}