Imp is watching a documentary about cave painting.

<image>

Some numbers, carved in chaotic order, immediately attracted his attention. Imp rapidly proposed a guess that they are the remainders of division of a number n by all integers i from 1 to k. Unfortunately, there are too many integers to analyze for Imp.

Imp wants you to check whether all these remainders are distinct. Formally, he wants to check, if all <image>, 1 ≤ i ≤ k, are distinct, i. e. there is no such pair (i, j) that: 

  * 1 ≤ i < j ≤ k, 
  * <image>, where <image> is the remainder of division x by y. 

Input

The only line contains two integers n, k (1 ≤ n, k ≤ 1018).

Output

Print "Yes", if all the remainders are distinct, and "No" otherwise.

You can print each letter in arbitrary case (lower or upper).

Examples

Input

4 4


Output

No


Input

5 3


Output

Yes

Note

In the first sample remainders modulo 1 and 4 coincide.
    import java.io.*;
    import java.util.*;

    public class Main {
        public static void main(String[] args) throws IOException {
            FastReader scan = new FastReader();
            //PrintWriter out = new PrintWriter(new BufferedWriter(new FileWriter("taming.out")));
            PrintWriter out = new PrintWriter(new BufferedWriter(new OutputStreamWriter(System.out)));
            Task solver = new Task();
            //int t = scan.nextInt();
            int t = 1;
            for(int i = 1; i <= t; i++) solver.solve(i, scan, out);
            out.close();
        }
        static class Task {

            public void solve(int testNumber, FastReader sc, PrintWriter pw) {
                long n = sc.nextLong();
                long m = sc.nextLong();
                for(int i=1;i<=m;i++){
                    if(n%i!=i-1){
                        pw.println("No");
                        return;
                    }
                }
                pw.println("Yes");
            }
        }
        static class tup implements Comparable<tup> {
            int a, b;String c;

            tup() {
            }
            ;



            tup(String c) {
                a=0;
                b=0;
                this.c=c;
                for(char s : c.toCharArray()){
                    if(s=='s'){
                        a++;
                    }
                    else{
                        b++;
                    }
                }
            }

            @Override
            public int compareTo(tup o2) {
                return Double.compare((double)o2.a/o2.b,(double)a/b);
            }

        }
        static void shuffle(long[] a) {
            Random get = new Random();
            for (int i = 0; i < a.length; i++) {
                int r = get.nextInt(a.length);
                long temp = a[i];
                a[i] = a[r];
                a[r] = temp;
            }
        }
        static void shuffle(int[] a) {
            Random get = new Random();
            for (int i = 0; i < a.length; i++) {
                int r = get.nextInt(a.length);
                int temp = a[i];
                a[i] = a[r];
                a[r] = temp;
            }
        }
        static class FastReader {
            BufferedReader br;
            StringTokenizer st;

            public FastReader() {
                br = new BufferedReader(new InputStreamReader(System.in));
            }

            public FastReader(String s) throws FileNotFoundException {
                br = new BufferedReader(new FileReader(new File(s)));
            }

            String next() {
                while (st == null || !st.hasMoreElements()) {
                    try {
                        st = new StringTokenizer(br.readLine());
                    } catch (IOException e) {
                        e.printStackTrace();
                    }
                }
                return st.nextToken();
            }

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

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

            double nextDouble() {
                return Double.parseDouble(next());
            }

            String nextLine() {
                String str = "";
                try {
                    str = br.readLine();
                } catch (IOException e) {
                    e.printStackTrace();
                }
                return str;
            }
        }

    }