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.BufferedReader;
import java.io.IOException;
import java.io.InputStream;
import java.io.InputStreamReader;
import java.util.ArrayList;
import java.util.Arrays;
import java.util.Collections;
import java.util.StringTokenizer;

/*07:05:45PM

 String x =sc.next();
 char inp [] = x.toCharArray();
 SimpleDateFormat displayFormat = new SimpleDateFormat("HH:mm");
 SimpleDateFormat parseFormat = new SimpleDateFormat("hh:mm a");
 Date date = parseFormat.parse(x.substring(0, 5)+" "+x.substring(8, 10));
 System.out.println(displayFormat.format(date)+":"+x.substring(6, 8));
 */

public class Main {
	static int a,b,c ;
	static boolean memo [] , visited[];
	public static  boolean search(int soFar )
	{
		if(soFar>c)return false;
		if(soFar==c)return true;
		if(visited[soFar])return memo[soFar];
		
		visited[soFar]= true;
		return memo[soFar]=search(soFar+a) | search (soFar+b);
	}
	public static void main(String[] args) throws Exception {
		Scanner sc = new Scanner(System.in);
		 a =sc.nextInt() ; b =sc.nextInt(); c=sc.nextInt();
		 memo = new boolean[10001];
		 visited = new  boolean[10001];
		boolean res =search (0);
		if(res)System.out.println("Yes");else System.out.println("No");
	}
}







class Triple {
	long x, y, z;

	public Triple(long a, long b, long c) {
		x = a;
		y = b;
		z = c;
	}
}

class Pair implements Comparable<Pair> {
	 int x;
	int y;

	Pair(int a, int b) {
		x = a;
		y = b;
	}

	@Override
	public int compareTo(Pair o) {
		// TODO Auto-generated method stub
		return (x-y) - (o.x-o.y);
	}

}

class Scanner {
	StringTokenizer st;
	BufferedReader br;

	public Scanner(InputStream s) {
		br = new BufferedReader(new InputStreamReader(s));
	}

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

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

	public long nextLong() throws IOException {
		return Long.parseLong(next());
	}

	public String nextLine() throws IOException {
		return br.readLine();
	}

	public double nextDouble() throws IOException {
		String x = next();
		StringBuilder sb = new StringBuilder("0");
		double res = 0, f = 1;
		boolean dec = false, neg = false;
		int start = 0;
		if (x.charAt(0) == '-') {
			neg = true;
			start++;
		}
		for (int i = start; i < x.length(); i++)
			if (x.charAt(i) == '.') {
				res = Long.parseLong(sb.toString());
				sb = new StringBuilder("0");
				dec = true;
			} else {
				sb.append(x.charAt(i));
				if (dec)
					f *= 10;
			}
		res += Long.parseLong(sb.toString()) / f;
		return res * (neg ? -1 : 1);
	}

	public boolean ready() throws IOException {
		return br.ready();
	}

}