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;
#pragma GCC diagnostic ignored "-Wmissing-declarations"
inline int safe_mul(int x, int y) __attribute__((warn_unused_result));
int const maxn = 1000005;
vector<pair<int, int> > der[maxn];
int mask[maxn];
void init() {
  for (int i = 2; i < maxn; ++i)
    if (der[i].empty()) {
      for (int j = i; j < maxn; j += i) {
        int x = j / i;
        int cnt = 1;
        while (x % i == 0) {
          ++cnt;
          x /= i;
        }
        der[j].push_back({i, cnt});
      }
    }
}
int main() {
  init();
  int n, k;
  scanf("%d %d", &n, &k);
  for (auto x : der[k]) mask[x.first] = x.second;
  for (int i = 0; i < n; ++i) {
    int cur;
    scanf("%d", &cur);
    for (auto x : der[cur]) {
      if (mask[x.first] > 0 && mask[x.first] <= x.second) {
        while (mask[x.first]--) k /= x.first;
      }
    }
  }
  cout << (k == 1 ? "Yes" : "No") << endl;
}