One industrial factory is reforming working plan. The director suggested to set a mythical detail production norm. If at the beginning of the day there were x details in the factory storage, then by the end of the day the factory has to produce <image> (remainder after dividing x by m) more details. Unfortunately, no customer has ever bought any mythical detail, so all the details produced stay on the factory. 

The board of directors are worried that the production by the given plan may eventually stop (that means that there will be а moment when the current number of details on the factory is divisible by m). 

Given the number of details a on the first day and number m check if the production stops at some moment.

Input

The first line contains two integers a and m (1 ≤ a, m ≤ 105).

Output

Print "Yes" (without quotes) if the production will eventually stop, otherwise print "No".

Examples

Input

1 5


Output

No


Input

3 6


Output

Yes
import java.io.*;
import java.util.*;
import java.nio.charset.StandardCharsets;
// import java.math.BigInteger;

public class A {
    static Writer wr;

    public static void main(String[] args) throws Exception {
        // long startTime = System.nanoTime();

        // String testString = "";
        // InputStream stream = new ByteArrayInputStream(testString.getBytes(StandardCharsets.UTF_8));
        // Reader in = new Reader(stream);

        Reader in = new Reader();
        BufferedWriter out = new BufferedWriter(new OutputStreamWriter(System.out));
        
        wr = new Writer();

        /* Precomputation */


        // long elapsedTime = System.nanoTime() - startTime;
        // double seconds = (double)elapsedTime / 1000000000.0;
        // wr.writeRedLn(seconds);

        /* Input */
        long N = in.nextInt();
        int M = in.nextInt();

        boolean[] visited = new boolean[2*M+1];
        // visited[N] = true;
        int R = 0;
        boolean will_stop = true;
        while(true) {
            R = (int)(N%M);
            N += R;
            // wr.writeRedLn(R);
            if(R==0) {
                will_stop = false;
                break;
            }
            if(visited[R]) {
                break;
            }
            visited[R] = true;
        }

        if(will_stop)
            out.write("No\n");
        else
            out.write("Yes\n");
        out.flush();
    }
}



class Writer {
    public void writeRedLn(Object x) { writeRedLn(x+""); }
    public void writeBlueLn(Object x) { writeBlueLn(x+""); }
    public void writeGreenLn(Object x) { writeGreenLn(x+""); }
    public void writePinkLn(Object x) { writePinkLn(x+""); }
    public void writeRedLn(String x) { System.out.println((char)27 + "[31m" + (char)27 + "[40m" + x + (char)27 + "[0m"); }
    public void writeBlueLn(String x) { System.out.println((char)27 + "[34m" + (char)27 + "[3m" + x + (char)27 + "[0m"); }
    public void writeGreenLn(String x) { System.out.println((char)27 + "[32m" + (char)27 + "[3m" + x + (char)27 + "[0m"); }
    public void writePinkLn(String x) { System.out.println((char)27 + "[30m" + (char)27 + "[45m" + x + (char)27 + "[0m"); }
    public void writeRed(String x) { System.out.print((char)27 + "[31m" + (char)27 + "[40m" + x + (char)27 + "[0m"); }
    public void writeBlue(String x) { System.out.print((char)27 + "[34m" + (char)27 + "[3m" + x + (char)27 + "[0m"); }
    public void writeGreen(String x) { System.out.print((char)27 + "[32m" + (char)27 + "[3m" + x + (char)27 + "[0m"); }
    public void writePink(String x) { System.out.print((char)27 + "[30m" + (char)27 + "[45m" + x + (char)27 + "[0m"); }
}


class Reader {
    final private int BUFFER_SIZE = 1 << 16;private DataInputStream din;private byte[] buffer;private int bufferPointer, bytesRead;
    public Reader(){din=new DataInputStream(System.in);buffer=new byte[BUFFER_SIZE];bufferPointer=bytesRead=0;}
    public Reader(InputStream stream){din=new DataInputStream(stream);buffer=new byte[BUFFER_SIZE];bufferPointer=bytesRead=0;}
    public String readLine()throws IOException{byte[] buf=new byte[1024];int cnt=0,c;
        while((c=read())!=-1){if(c=='\n')break;buf[cnt++]=(byte)c;}return new String(buf,0,cnt);}
    public char nextChar()throws IOException{byte c=read();while(c<=' ')c=read();return (char)c;}
    public int nextInt()throws IOException{int ret=0;byte c=read();while(c<=' ')c=read();boolean neg=(c=='-');
        if(neg)c=read();do{ret=ret*10+c-'0';}while((c=read())>='0'&&c<='9');if(neg)return -ret;return ret;} 
    public long nextLong()throws IOException{long ret=0;byte c=read();while(c<=' ')c=read();boolean neg=(c=='-');
        if(neg)c=read();do{ret=ret*10+c-'0';}while((c=read())>='0'&&c<='9');if(neg)return -ret;return ret;}
    public double nextDouble()throws IOException{double ret=0,div=1;byte c=read();while(c<=' ')c=read();boolean neg=(c=='-');if(neg)c = read();do {ret=ret*10+c-'0';}while((c=read())>='0'&&c<='9');
        if(c=='.')while((c=read())>='0'&&c<='9')ret+=(c-'0')/(div*=10);if(neg)return -ret;return ret;}
    private void fillBuffer()throws IOException{bytesRead=din.read(buffer,bufferPointer=0,BUFFER_SIZE);if(bytesRead==-1)buffer[0]=-1;}
    private byte read()throws IOException{if(bufferPointer==bytesRead)fillBuffer();return buffer[bufferPointer++];}
    public void close()throws IOException{if(din==null) return;din.close();}
}
