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 CPP):

Solution:
#include <bits/stdc++.h>
using namespace std;
class ProblemDRemaindersGame {
 public:
  long long int gcd(long long int a, long long int b) {
    return a % b == 0 ? b : gcd(b, a % b);
  }
  long long int lcm(long long int a, long long int b) {
    return (1LL * a * b) / gcd(a, b);
  }
  void solve(std::istream& in, std::ostream& out) {
    long long int n, k;
    in >> n >> k;
    long long int cur = 1;
    for (int i = 0; i < n; ++i) {
      long long int x;
      in >> x;
      cur = gcd(k, lcm(cur, x));
    }
    if (cur == k)
      out << "Yes";
    else
      out << "No";
  }
};
int main() {
  ios_base::sync_with_stdio(false);
  cin.tie(NULL);
  ProblemDRemaindersGame solver;
  std::istream& in(std::cin);
  std::ostream& out(std::cout);
  solver.solve(in, out);
  return 0;
}