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;
const int MAX_N = 1000000 + 10;
long long n, k, a, prime[MAX_N];
vector<long long> p;
int mark[MAX_N];
int main() {
  ios::sync_with_stdio(false);
  cin >> n >> k;
  for (int i = 2; i <= k; i++)
    if (prime[i] == 0) {
      long long x = i;
      while (k % (x * i) == 0) {
        x *= i;
      }
      if (k % x == 0) {
        p.push_back(x);
      }
      for (int j = 2; j * i <= k; j++) {
        prime[i * j] = 1;
      }
    }
  for (int i = 1; i <= n; i++) {
    cin >> a;
    for (int j = 0; j < p.size(); j++) {
      if (a % p[j] == 0) {
        mark[j] = 1;
      }
    }
  }
  for (int j = 0; j < p.size(); j++) {
    if (mark[j] == 0) {
      cout << "No" << endl;
      return 0;
    }
  }
  cout << "Yes" << endl;
}