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 D688 {
public static void main(String[] args) throws IOException {
	FS input = new FS(System.in);
	PrintWriter out = new PrintWriter(System.out);
	int n = input.nextInt(), k = input.nextInt(), lcm = 1;
	for(int i = 0; i<n; i++) lcm = lcm(lcm, gcd(input.nextInt(), k));
	out.println(lcm == k ? "Yes" : "No");
	out.close();
}
static int lcm(int a, int b)
{
	return a / gcd(a, b) * b;
}
static int gcd(int a, int b)
{
	return b == 0 ? a : gcd(b, a%b);
}
static class FS {
	BufferedReader br;
	StringTokenizer st;

	FS(InputStream in) {
		br = new BufferedReader(new InputStreamReader(in));
	}

	String next() throws IOException {
		while (st == null || !st.hasMoreTokens())
			st = new StringTokenizer(br.readLine());
		return st.nextToken();
	}

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

	long nextLong() throws IOException {
		return Long.parseLong(next());
	}

	double nextDouble() throws IOException {
		return Double.parseDouble(next());
	}
}
}