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;
int c[1000000];
vector<pair<int, int> > factors;
void factor(int n) {
  for (int i = 2; i <= sqrt(n); i++) {
    int count = 0;
    if (n % i == 0) {
      while (n % i == 0) {
        n = n / i;
        count++;
      }
      factors.push_back(make_pair(i, count));
    }
  }
  if (n > 1) factors.push_back(make_pair(n, 1));
}
int main() {
  int n, k;
  scanf("%d %d", &n, &k);
  for (int i = 0; i < n; i++) {
    scanf("%d", &c[i]);
  }
  factor(k);
  for (auto q : factors) {
    bool test = false;
    for (int i = 0; i < n; i++) {
      if (c[i] == 1) continue;
      int count = 0;
      int k = c[i];
      while (k % q.first == 0) {
        k = k / q.first;
        count++;
      }
      if (count >= q.second) {
        test = true;
      }
    }
    if (!test) {
      cout << "No";
      return 0;
    }
  }
  cout << "Yes";
  return 0;
}