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.*;
import java.util.*;

public class CF_687B {
	
	static long gcd(long a, long b) {
		return a == 0 ? b : gcd(b%a, a);
	}
	
	static long lcm(long a, long b) {
		return a / gcd(a, b) * b;
	}
	
	public static void main(String[] args) throws IOException {
		BufferedReader in = new BufferedReader(new InputStreamReader(System.in));
		PrintWriter out = new PrintWriter(System.out, false);
		
		StringTokenizer token = new StringTokenizer(in.readLine());
		int n = Integer.parseInt(token.nextToken());
		int k = Integer.parseInt(token.nextToken());
		token = new StringTokenizer(in.readLine());
		
		long lcm = 1;
		for (int i = 0; i < n; i++) {
			lcm = lcm(lcm, Integer.parseInt(token.nextToken()));
			lcm = gcd(lcm, k);
			if (k == lcm)
				break;
		}
		out.println(k == lcm ? "Yes" : "No");

		in.close();
		out.close();
	}
}