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:
// package cf.contest.round688.d;

import java.io.PrintWriter;

// Trick CF: public
class Scanner {
    
    private java.io.BufferedReader bufferedReader;
    private java.util.StringTokenizer stringTokenizer;

    public Scanner(java.io.InputStream inputStream) {
        bufferedReader = new java.io.BufferedReader(
                new java.io.InputStreamReader(inputStream));
    }

    public String next() {
        for (; null == stringTokenizer || !stringTokenizer.hasMoreTokens();) {
            try {
                stringTokenizer = new java.util.StringTokenizer(
                        bufferedReader.readLine());
            }
            catch(java.io.IOException ioException) {
                ioException.printStackTrace();
            }
        }
        return stringTokenizer.nextToken();
    }
    
    public String nextLine() {
        String result;
        stringTokenizer = null;
        try {
            result = bufferedReader.readLine();
        }
        catch(java.io.IOException ioException) {
            ioException.printStackTrace();
            result = "";
        }
        return result;
    }
    
    public int nextInt() {
        return Integer.parseInt(next());
    }
    
    public long nextLong() {
        return Long.parseLong(next());
    }
    
    public double nextDouble() {
        return Double.parseDouble(next());
    }
    
    public void close() {
        try {
            bufferedReader.close();
        }
        catch (java.io.IOException e) {
            e.printStackTrace();
        }
    }
}

class Task {
    
    private Scanner stdin;
    private PrintWriter stdout;
    
    public Task() {
        stdin = new Scanner(System.in);
        stdout = new PrintWriter(System.out);
    }
    
    public void close() {
        stdin.close();
        stdout.flush();
        stdout.close();
    }
    
    public void run() {
        int n = stdin.nextInt();
        int k = stdin.nextInt();
        long x = 1;
        for (int i = 0; i < n; ++i) {
            x = lcm(x, stdin.nextInt()) % k;
        }
        stdout.println(x == 0 ? "Yes" : "No");
    }
    
    long gcd(long a, long b) {
        long g;
        if (b == 0) {
            g = a;
        }
        else {
            g = gcd(b, a % b);
        }
        return g;
    }
    
    long lcm(long a, long b) {
        return a / gcd(a, b) * b;
    }
}

public class Main {
    public static void main(String[] args) {
        Task task = new Task();
        task.run();
        task.close();
    }
}