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;
long long gcd(long long x, long long y) {
  if (x == 0) {
    return y;
  }
  if (y == 0) {
    return x;
  }
  if (x >= y) {
    return gcd(x % y, y);
  } else {
    return gcd(y % x, x);
  }
}
int32_t main() {
  ios_base::sync_with_stdio(false);
  cin.tie(0);
  cout.tie(0);
  long long n, k;
  cin >> n >> k;
  vector<long long> a;
  long long u;
  for (long long i = 0; i < n; ++i) {
    cin >> u;
    a.push_back(u);
  }
  long long r;
  long long l;
  while (k != 1) {
    r = k;
    for (long long i = 0; i < a.size(); ++i) {
      l = gcd(a[i], k);
      if (l > 1) {
        a.erase(a.begin() + i);
        k /= l;
        for (long long j = 0; j < a.size(); ++j) {
          a[j] /= gcd(l, a[j]);
        }
        break;
      }
    }
    if (r == k) {
      cout << "No";
      return 0;
    }
  }
  cout << "Yes";
  return 0;
}