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.util.*;
import java.io.*;
public class _360div2Q3
{
	public static void main(String[] args)throws IOException
	{
		BufferedReader br=new BufferedReader(new InputStreamReader(System.in));
		String[] str=br.readLine().split(" ");
		int n=Integer.parseInt(str[0]);
		int k=Integer.parseInt(str[1]);
		String[] str2=br.readLine().split(" ");
		int[] arr=new int[n];
		int ans=1;
		for(int i=0;i<n;i++)
		{
			arr[i]=Integer.parseInt(str2[i]);
			int b=gcd(k, arr[i]);
			ans=lcm(ans, b);
		}
		if(ans==k)
			System.out.println("Yes");
		else
			System.out.println("No");
	}
	
	public static int gcd(int a, int b)
	{
		if(b==0)
			return a;
		else
			return gcd(b,a%b);
	}
	
	public static int lcm(int a, int b)
	{
		return a/ gcd(a, b)*b;
	}
	
}