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;
int c[1010000];
bool p[1010000];
vector<int> prosti;
vector<int> dj;
int main(void) {
  for (int i = 2; i <= 1000000; ++i) {
    if (p[i] == 0) {
      prosti.push_back(i);
      for (int j = 2 * i; j <= 1000000; j += i) {
        p[j] = 1;
      }
    }
  }
  scanf("%d%d", &n, &k);
  for (int i = 0; i < n; ++i) {
    scanf("%d", &c[i]);
  }
  for (int i = 0; i < prosti.size(); ++i) {
    int x = 1;
    while (k % (x * prosti[i]) == 0) {
      x *= prosti[i];
    }
    if (x != 1) dj.push_back(x);
  }
  for (int i = 0; i < dj.size(); ++i) {
    bool ok = false;
    for (int j = 0; j < n; ++j) {
      if (c[j] % dj[i] == 0) {
        ok = true;
      }
    }
    if (!ok) {
      cout << "No";
      goto van;
    }
  }
  cout << "Yes";
van:;
  return 0;
}