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 n, k, a[1000005], lp[1000005];
int32_t main() {
  ios_base::sync_with_stdio(0);
  cin.tie(0);
  cout.tie(0);
  cin >> n >> k;
  for (int i = 0; i < n; i++) cin >> a[i];
  for (int i = 2; i < 1000005; i++)
    if (lp[i] == 0) {
      lp[i] = i;
      if (i <= 1000000 / i)
        for (int j = i * i; j < 1000005; j += i) {
          if (lp[j] == 0) lp[j] = i;
        }
    }
  for (int i = 0; i < n; i++) {
    while (a[i] > 1) {
      int x = lp[a[i]];
      int y = 0;
      int z = 1;
      while (lp[a[i]] == x) {
        y++;
        a[i] /= x;
        z *= x;
      }
      if (k % x == 0 && k / x % z == 0)
        ;
      else {
        while (k % x == 0) k /= x;
      }
    }
  }
  if (k == 1)
    cout << "Yes";
  else
    cout << "No";
}