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.math.*;
import java.util.*;
import static java.lang.Math.*;

public class Task {
    static Reader reader;
    static PrintWriter out;

    public static long gcd(long a, long b) {
        if (b == 0) return a;
        return gcd(b, a % b);
    }

    public static long lcm(long a, long b) {
        return a * b / gcd(a, b);
    }

    public static void solve() throws IOException {
        int n = reader.nextInt();
        int k = reader.nextInt();
        long l = 1;
        for (int i = 0; i < n; i++) {
            int c = reader.nextInt();
            l = gcd(k, lcm(l, c));
        }
        if (l == k) out.println("Yes");
        else out.println("No");
    }

    public static void main(String[] args) throws IOException {
        reader = new Reader(System.in);
        out = new PrintWriter(System.out);

        solve();

        reader.close();
        out.close();
    }
}

class Reader implements Closeable {
    BufferedReader bufferedReader;
    StringTokenizer stringTokenizer;

    public Reader(InputStream source) throws IOException {
        bufferedReader = new BufferedReader(new InputStreamReader(source));
        stringTokenizer = new StringTokenizer("");
    }

    String next() throws IOException {
        while (!stringTokenizer.hasMoreTokens()) {
            stringTokenizer = new StringTokenizer(bufferedReader.readLine());
        }

        return stringTokenizer.nextToken();
    }

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

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

    @Override
    public void close() throws IOException {
        bufferedReader.close();
    }
}