Problem: Today Pari and Arya are playing a game called Remainders.

Pari chooses two positive integer x and k, and tells Arya k but not x. Arya have to find the value <image>. There are n ancient numbers c1, c2, ..., cn and Pari has to tell Arya <image> if Arya wants. Given k and the ancient values, tell us if Arya has a winning strategy independent of value of x or not. Formally, is it true that Arya can understand the value <image> for any positive integer x?

Note, that <image> means the remainder of x after dividing it by y.

Input

The first line of the input contains two integers n and k (1 ≤ n, k ≤ 1 000 000) — the number of ancient integers and value k that is chosen by Pari.

The second line contains n integers c1, c2, ..., cn (1 ≤ ci ≤ 1 000 000).

Output

Print "Yes" (without quotes) if Arya has a winning strategy independent of value of x, or "No" (without quotes) otherwise.

Examples

Input

4 5
2 3 5 12


Output

Yes


Input

2 7
2 3


Output

No

Note

In the first sample, Arya can understand <image> because 5 is one of the ancient numbers.

In the second sample, Arya can't be sure what <image> is. For example 1 and 7 have the same remainders after dividing by 2 and 3, but they differ in remainders after dividing by 7.

Solution (in JAVA):

Solution:
import java.io.BufferedReader;
import java.io.IOException;
import java.io.InputStream;
import java.io.InputStreamReader;
import java.io.PrintStream;
import java.io.PrintWriter;
import java.util.Arrays;
import java.util.Iterator;
public class Main {
	public static void main(String[] args){
		new Main().solver();
	}
	//calculate x mod k
	
	//given x mod c_i
	
	void solver(){
		Scanner sc=new Scanner(System.in);
		int n=sc.nextInt();
		int k=sc.nextInt();
		long divisor=1;
		long[] c=new long[n];
		for(int i=0;i<n;i++){
			c[i]=sc.nextLong();
			long gcd=gcd(c[i],k);
			divisor=lcm(divisor,gcd);
		}
		if(k==divisor){
			System.out.println("YES");
		}else{
			System.out.println("NO");
		}
		
		
	}
	long lcm(long t1,long t2){
		long a=gcd(t1,t2);
		long tt1=t1/a;
		long tt2=t2/a;
		return tt1*tt2*a;
	}
	long gcd(long t1,long t2){
		if(t1<t2){
			long d=t2;
			t2=t1;
			t1=d;
		}
		if(t2==0)return t1;
		return gcd(t2,t1%t2);
	}
	private static class Scanner{
		BufferedReader br;
		Iterator<String> it;
		Scanner(InputStream in){
			br=new BufferedReader(new InputStreamReader(in));
		}
		String next()throws RuntimeException{
			try{
				if(it==null||!it.hasNext())
					it=Arrays.asList(br.readLine().split(" ")).iterator();
				return it.next();
			}catch(IOException e){
				throw new IllegalStateException();
			}
		}
		int nextInt() throws RuntimeException{
			return Integer.parseInt(next());
		}
		long nextLong() throws RuntimeException{
			return Long.parseLong(next());
		}
		double nextDouble() throws RuntimeException{
			return Double.parseDouble(next());
		}
		void close(){
			try{
				br.close();
			}catch(IOException e){
				throw new IllegalStateException();
			}
		}
	}
	private static class Printer extends PrintWriter{
		Printer(PrintStream out){
			super(out);
		}
	}
}