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.BufferedReader;
import java.io.IOException;
import java.io.InputStream;
import java.io.InputStreamReader;
import java.io.OutputStream;
import java.io.PrintWriter;
import java.util.ArrayList;
import java.util.StringTokenizer;

public class Main {

	public static void main(String[] args) {
		InputStream inputStream = System.in;
		OutputStream outputStream = System.out;
		InputReader in = new InputReader(inputStream);
		PrintWriter out = new PrintWriter(outputStream);
		TaskC solver = new TaskC();
		solver.solve(1, in, out);
		out.close();

	}

	static class TaskC {
		public void solve(int testNumber, InputReader in, PrintWriter out) {
			long n = Long.parseLong(in.next()) ; 
			long k = Long.parseLong(in.next()) ; 		
			if(k==1){
				out.println("yes");
				return ;
			}
			if(n%2==0)
			{
				out.println("no");
				return ;
			}
			if(k>=n-1 && n!=3 && n!=1)
			{
				out.println("no");
				return ;
			}
			for (int i = 1; i <=k; i++)
			{
				if(n % i != i-1)
				{
					out.println("no");
					return ;
				}
			}
			{
				out.println("yes");
				return ;
			}

		}
		public static boolean isPrime (long num){
			if (num < 2) return false;
			if (num == 2) return true;
			if (num % 2 == 0) return false;
			for (long i = 3*1l; i * i <= num; i += 2)
				if (num % i == 0) return false;
			return true;
		}
	}
	static class InputReader {
		public BufferedReader	reader;
		public StringTokenizer	tokenizer;

		public InputReader(InputStream stream) {
			reader = new BufferedReader(new InputStreamReader(stream), 32768);
			tokenizer = null;
		}

		public String next() {
			while (tokenizer == null || !tokenizer.hasMoreTokens())
			{
				try
				{
					tokenizer = new StringTokenizer(reader.readLine());
				} catch (IOException e)
				{
					throw new RuntimeException(e);
				}
			}
			return tokenizer.nextToken();
		}

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

	}
	static class Vertix{
		int x ; 
		ArrayList<Vertix> children; 
		Vertix parent; 

		public Vertix(int x){
			this.x = x ;
			this.children= new ArrayList<Vertix>();
		}

	}

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

		public Pair(int x, int y) {
			this.x = x ;
			this.y = y ; 

		}

		@Override
		public int compareTo(Pair p) {
			if (this.x < p.x)
				return -1;
			else if (this.x > p.x)
				return 1;
			else
				return 0;

		}
		//
	}

}