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.BufferedOutputStream;
import java.io.BufferedReader;
import java.io.IOException;
import java.io.InputStreamReader;
import java.io.PrintWriter;


public class D {

	//private static Scanner in = new Scanner(System.in);
	private static BufferedReader in = new BufferedReader(new InputStreamReader(System.in));
	private static PrintWriter out = new PrintWriter(new BufferedOutputStream(System.out));

	private static int gcd(int a, int b) {
		int t;
		while (b > 0) {
			t = b;
			b = a%b;
			a = t;
		}
		return a;
	}
	
	private static int lcm(int a, int b) {
		int g = gcd(a, b);
		return a/g*b;
	}
	
	public static void main(String[] args) throws IOException {
		String[] s = in.readLine().split(" ");
		int n = Integer.parseInt(s[0]);
		int k = Integer.parseInt(s[1]);
		s = in.readLine().split(" ");
		int ans = 1;
		for (int i = 0; i < n; ++i)
			ans = lcm(ans, gcd(k, Integer.parseInt(s[i])));
		out.println(ans == k ? "Yes" : "No");
		out.flush();
	}

}