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 arr[1000005];
int lcm[1000005];
void sieve() {
  for (int i = 2; i < 1002; i++) {
    if (arr[i] == 0) {
      for (int j = i; j < 1000005; j += i) {
        arr[j] = i;
      }
    }
  }
  for (int i = 1; i < 1000005; i++)
    if (arr[i] == 0) arr[i] = i;
  return;
}
int main() {
  int n, k, count, temp;
  sieve();
  cin >> n >> k;
  for (int i = 0; i < n; i++) {
    scanf("%d", &temp);
    while (temp > 1) {
      count = 0;
      int div = arr[temp];
      while (temp % div == 0) {
        temp /= div;
        count++;
      }
      lcm[div] = max(lcm[div], count);
    }
  }
  while (k > 1) {
    lcm[arr[k]]--;
    if (lcm[arr[k]] < 0) {
      cout << "No" << endl;
      return 0;
    }
    k /= arr[k];
  }
  cout << "Yes" << endl;
  return 0;
}