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.awt.Point;
import java.io.IOException;
import java.io.InputStream;
import java.util.ArrayList;
import java.util.InputMismatchException;

public class R190_D1_A {

    public static void main(String[] args) throws Exception {
        InputReader in = new InputReader(System.in);
        int a = in.readInt();
        int b = in.readInt();
        String s = in.readString();
        ArrayList<Point> all = new ArrayList<Point>();
        all.add(new Point(0, 0));
        Point curr = new Point(0, 0);
        for (int i = 0; i < s.length(); i++) {
            if (s.charAt(i) == 'U')
                curr.y++;
            else if (s.charAt(i) == 'D')
                curr.y--;
            else if (s.charAt(i) == 'L')
                curr.x--;
            else
                curr.x++;
            all.add(new Point(curr.x, curr.y));
        }
        int diffx = curr.x;
        int diffy = curr.y;
        boolean flag = false;
        for (Point nw : all) {
            Point get = new Point(a, b);
            get.x -= nw.x;
            get.y -= nw.y;
            if (diffx == 0 && diffy == 0) {
                if (get.x == 0 && get.y == 0)
                    flag = true;
            } else if (diffx == 0) {
                if (get.x == 0 && get.y % diffy == 0 && get.y / diffy >= 0)
                    flag = true;
            } else if (diffy == 0) {
                if (get.y == 0 & get.x % diffx == 0 && get.x / diffx >= 0)
                    flag = true;
            } else {
                if (get.x % diffx == 0 && get.y % diffy == 0
                        && get.x / diffx == get.y / diffy && get.x / diffx >= 0) {
                    flag = true;
                }
            }
            if (flag)
                break;
        }
        if (flag)
            System.out.println("Yes");
        else
            System.out.println("No");
    }

    static class InputReader {
        private InputStream stream;
        private byte[] buf = new byte[1000];
        private int curChar, numChars;

        public InputReader(InputStream stream) {
            this.stream = stream;
        }

        private int read() {
            if (numChars == -1)
                throw new InputMismatchException();
            if (curChar >= numChars) {
                curChar = 0;
                try {
                    numChars = stream.read(buf);
                } catch (IOException e) {
                    throw new InputMismatchException();
                }
                if (numChars <= 0)
                    return -1;
            }
            return buf[curChar++];
        }

        public int readInt() {
            int c = read();
            while (isSpaceChar(c))
                c = read();
            int sgn = 1;
            if (c == '-') {
                sgn = -1;
                c = read();
            }
            int res = 0;
            do {
                if (c < '0' || c > '9')
                    throw new InputMismatchException();
                res *= 10;
                res += c - '0';
                c = read();
            } while (!isSpaceChar(c));
            return res * sgn;
        }

        public long readLong() {
            int c = read();
            while (isSpaceChar(c))
                c = read();
            int sgn = 1;
            if (c == '-') {
                sgn = -1;
                c = read();
            }
            long res = 0;
            do {
                if (c < '0' || c > '9')
                    throw new InputMismatchException();
                res *= 10;
                res += c - '0';
                c = read();
            } while (!isSpaceChar(c));
            return res * sgn;
        }

        public String readString() {
            int c = read();
            while (isSpaceChar(c))
                c = read();
            StringBuffer res = new StringBuffer();
            do {
                res.appendCodePoint(c);
                c = read();
            } while (!isSpaceChar(c));
            return res.toString();
        }

        private boolean isSpaceChar(int c) {
            return c == ' ' || c == '\n' || c == '\r' || c == '\t' || c == -1;
        }

        private String readLine0() {
            StringBuffer buf = new StringBuffer();
            int c = read();
            while (c != '\n' && c != -1) {
                buf.appendCodePoint(c);
                c = read();
            }
            return buf.toString();
        }

        public String readLine() {
            String s = readLine0();
            while (s.trim().length() == 0)
                s = readLine0();
            return s;
        }

        public String readLine(boolean ignoreEmptyLines) {
            if (ignoreEmptyLines)
                return readLine();
            else
                return readLine0();
        }

        public char readCharacter() {
            int c = read();
            while (isSpaceChar(c))
                c = read();
            return (char) c;
        }

        public double readDouble() {
            int c = read();
            while (isSpaceChar(c))
                c = read();
            int sgn = 1;
            if (c == '-') {
                sgn = -1;
                c = read();
            }
            double res = 0;
            while (!isSpaceChar(c) && c != '.') {
                if (c == 'e' || c == 'E')
                    return res * Math.pow(10, readInt());
                if (c < '0' || c > '9')
                    throw new InputMismatchException();
                res *= 10;
                res += c - '0';
                c = read();
            }
            if (c == '.') {
                c = read();
                double m = 1;
                while (!isSpaceChar(c)) {
                    if (c == 'e' || c == 'E')
                        return res * Math.pow(10, readInt());
                    if (c < '0' || c > '9')
                        throw new InputMismatchException();
                    m /= 10;
                    res += (c - '0') * m;
                    c = read();
                }
            }
            return res * sgn;
        }
    }
}
