Problem: Dante is engaged in a fight with "The Savior". Before he can fight it with his sword, he needs to break its shields. He has two guns, Ebony and Ivory, each of them is able to perform any non-negative number of shots.

For every bullet that hits the shield, Ebony deals a units of damage while Ivory deals b units of damage. In order to break the shield Dante has to deal exactly c units of damage. Find out if this is possible.

Input

The first line of the input contains three integers a, b, c (1 ≤ a, b ≤ 100, 1 ≤ c ≤ 10 000) — the number of units of damage dealt by Ebony gun and Ivory gun, and the total number of damage required to break the shield, respectively.

Output

Print "Yes" (without quotes) if Dante can deal exactly c damage to the shield and "No" (without quotes) otherwise.

Examples

Input

4 6 15


Output

No


Input

3 2 7


Output

Yes


Input

6 11 6


Output

Yes

Note

In the second sample, Dante can fire 1 bullet from Ebony and 2 from Ivory to deal exactly 1·3 + 2·2 = 7 damage. In the third sample, Dante can fire 1 bullet from ebony and no bullets from ivory to do 1·6 + 0·11 = 6 damage. 

Solution (in JAVA):

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


public class First {
    private static final Scanner sc = new Scanner(System.in);
    private static final PrintWriter pw = new PrintWriter(System.out);
    private static StringBuffer ans = new StringBuffer();

    public static void main(String[] args) throws Exception {
        int a = sc.nextInt(), b = sc.nextInt(), c = sc.nextInt();
        if (c % gcd(a, b) != 0) ans.append("No");
        else {
            boolean found = false;
            for (int x = 0; x * a <= c && !found; x++)
                for (int y = 0; y * b <= c - (x * a) && !found; y++)
                    if (y * b == c - (x * a))
                        found = true;
            if (!found) ans.append("No");
            else ans.append("Yes");
        }
        pw.print(ans);
        sc.close();
        pw.close();
    }

    private static int gcd(int a, int b) {
        return b == 0 ? a : gcd(b, a % b);
    }
}

class Scanner {
    private final BufferedReader br;
    private StringTokenizer st;

    public Scanner(InputStream in) {
        br = new BufferedReader(new InputStreamReader(in));
        st = new StringTokenizer("");
    }

    public String next() throws IOException {
        if (!st.hasMoreTokens())
            st = new StringTokenizer(br.readLine());
        return st.nextToken();
    }

    public int nextInt() throws IOException {
        return Integer.parseInt(next());
    }

    public void close() throws IOException {
        br.close();
    }
}

class PrintWriter {
    private final BufferedOutputStream pw;

    public PrintWriter(OutputStream out) {
        pw = new BufferedOutputStream(out);
    }

    public void print(Object o) throws IOException {
        pw.write(o.toString().trim().getBytes());
        pw.flush();
    }

    public void println(Object o) throws IOException {
        print(o + "\n");
    }

    public void close() throws IOException {
        pw.close();
    }
}