Fox Ciel has a robot on a 2D plane. Initially it is located in (0, 0). Fox Ciel code a command to it. The command was represented by string s. Each character of s is one move operation. There are four move operations at all:

  * 'U': go up, (x, y)  →  (x, y+1); 
  * 'D': go down, (x, y)  →  (x, y-1); 
  * 'L': go left, (x, y)  →  (x-1, y); 
  * 'R': go right, (x, y)  →  (x+1, y). 



The robot will do the operations in s from left to right, and repeat it infinite times. Help Fox Ciel to determine if after some steps the robot will located in (a, b).

Input

The first line contains two integers a and b, ( - 109 ≤ a, b ≤ 109). The second line contains a string s (1 ≤ |s| ≤ 100, s only contains characters 'U', 'D', 'L', 'R') — the command.

Output

Print "Yes" if the robot will be located at (a, b), and "No" otherwise.

Examples

Input

2 2
RU


Output

Yes


Input

1 2
RU


Output

No


Input

-1 1000000000
LRRLU


Output

Yes


Input

0 0
D


Output

Yes

Note

In the first and second test case, command string is "RU", so the robot will go right, then go up, then right, and then up and so on.

The locations of its moves are (0, 0)  →  (1, 0)  →  (1, 1)  →  (2, 1)  →  (2, 2)  →  ...

So it can reach (2, 2) but not (1, 2).
import java.io.*;
import java.math.*;
import java.util.*;

public class SolutionA{

	public static void main(String[] args){
		new SolutionA().run();
	}
	boolean cango(int a, int b, int x, int y){
		if(a == 0 && b == 0) return true;
		if(x == 0){
			return y !=0 && a == 0 && Math.abs(b) % Math.abs(y) == 0 && b/y >= 0;
		}
		if(Math.abs(a) % Math.abs(x) != 0) return false;
		if(y == 0) 
			return b==0 && a/x > 0;
		
		if(Math.abs(b) % Math.abs(y) == 0 &&  a / x ==b/y && a/x > 0) return true;
		
		return false;
	}
	void solve(){
		int a = in.nextInt();
		int b = in.nextInt();
		char c[] = in.next().toCharArray();
		if(a == 0 && b == 0) {
			out.println("Yes");
			return;
		}
		int n = c.length;
		int x = 0;
		int y = 0;
		for(int i = 0; i < n; i++){
			if(c[i] == 'U') y++;
			if(c[i] == 'D') y--;
			if(c[i] == 'L') x--;
			if(c[i] == 'R') x++;
		}
		int X = x;
		int Y = y;
		x = 0;
		y = 0;
		for(int i = 0; i < n; i++){

			if(c[i] == 'U') y++;
			if(c[i] == 'D') y--;
			if(c[i] == 'L') x--;
			if(c[i] == 'R') x++;
			int cura = a - x;
			int curb = b - y;
			if(cango(cura, curb, X, Y)){
				out.println("Yes");
				return;
			}
		}
		out.println("No");
	}


	class Pair implements Comparable<Pair>{
		int x, y;
		Pair(int x, int y){
			this.x = x;
			this.y = y;
		}
		@Override
		public int compareTo(Pair o) {
			if(o.x == x) return ((Integer) y).compareTo(o.y); 
			return ((Integer) x).compareTo(o.x);
		}

	}
	FastScanner in;
	PrintWriter out;
	void run(){
		in = new FastScanner(System.in);
		out = new PrintWriter(new OutputStreamWriter(System.out));
		solve();
		out.close();
	}

	void runIO(){
		try{
			in = new FastScanner(new File("expr.in"));
			out = new PrintWriter(new FileWriter(new File("expr.out")));
			solve();
			out.close();
		}catch(Exception ex){
			ex.printStackTrace();
		}
	}
	class FastScanner{
		BufferedReader bf;
		StringTokenizer st;
		public FastScanner(File f){
			try{
				bf = new BufferedReader(new FileReader(f));
			}
			catch(IOException ex){
				ex.printStackTrace();
			}
		}
		public FastScanner(InputStream is){
			bf = new BufferedReader(new InputStreamReader(is));
		}
		String next(){
			while(st == null || !st.hasMoreTokens()){
				try{
					st = new StringTokenizer(bf.readLine());
				}
				catch(IOException ex){
					ex.printStackTrace();
				}
			}
			return st.nextToken();
		}
		int nextInt(){
			return Integer.parseInt(next());
		}
		double nextDouble(){
			return Double.parseDouble(next());
		}
		float nextFloat(){
			return Float.parseFloat(next());
		}
		String nextLine(){
			try{
				return bf.readLine();
			}
			catch(Exception ex){
				ex.printStackTrace();
			}
			return "";
		}
		long nextLong(){
			return Long.parseLong(next());
		}
		BigInteger nextBigInteger(){
			return new BigInteger(next());
		}
		BigDecimal nextBigDecimal(){
			return new BigDecimal(next());
		}
		int[] nextIntArray(int n){
			int a[] = new int[n];
			for(int i = 0; i < n; i++)
				a[i] = Integer.parseInt(next());
			return a;
		}
		long[] nextLongArray(int n){
			long a[] = new long[n];
			for(int i = 0; i < n; i++)
				a[i] = Long.parseLong(next());
			return a;
		}
	}
}