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;
void solve() {
  int n, k;
  cin >> n >> k;
  if (k == 1) {
    cout << "Yes" << endl;
    return;
  }
  vector<int> divs;
  for (int i = 2; i < k; ++i)
    if (!(k % i)) {
      cerr << i << endl;
      divs.push_back(1);
      while (!(k % i)) k /= i, divs.back() *= i;
    }
  if (k > 1) divs.push_back(k);
  set<int> div(divs.begin(), divs.end());
  int a;
  for (int i = 0; i < n; ++i) {
    cin >> a;
    set<int>::iterator it = div.begin();
    while (it != div.end()) {
      if (a % (*it))
        ++it;
      else
        it = div.erase(it);
    }
  }
  if (div.size())
    cout << "No" << endl;
  else
    cout << "Yes" << endl;
}
int main() {
  ios_base::sync_with_stdio(false);
  cin.tie();
  solve();
  return 0;
}