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.lang.reflect.Array;
import java.util.*;
import java.io.*;


public class Main {

    static class FastReader {
        BufferedReader br;
        StringTokenizer st;

        public FastReader(InputStreamReader in) {
            br = new BufferedReader(in);
            st = null;
        }

        public String next() {
            try {
                if ((st == null) || (!st.hasMoreElements())) {
                    st = new StringTokenizer(br.readLine());
                }
                return st.nextToken();
            } catch (Exception e) {
                return null;
            }
        }

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

    static FastReader reader;
    static BufferedWriter out;

    public static void main(String[] args) {
        new Solver(new FastReader(new InputStreamReader(System.in)),
                new PrintWriter(System.out));
    }
}

class Solver {
    Main.FastReader cin; PrintWriter cout;

    int gcd(int a, int b) {
        while (b != 0) {
            int c = a % b;
            a = b;
            b = c;
        }
        return a;
    }

    void main() {
        int n = cin.nextInt(), k = cin.nextInt();
        int c = 1;
        for (int i = 0; i < n; i++) {
            int x = cin.nextInt();
            x = gcd(x, k);
            c = c * (x / gcd(x, c));
        }
        if (c == k) cout.print("Yes\n");
        else cout.print("No\n");
    }

    Solver(Main.FastReader reader, PrintWriter writer) {
        cin = reader;
        cout = writer;
        main();
        writer.close();
    }
}