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;
vector<int> v;
int ck[1000005];
int n, k, ans;
void go(int num) {
  int sz = v.size();
  for (int i = 0; i < sz; i++) {
    int cnt = 0;
    while (num % v[i] == 0) {
      ++cnt;
      num /= v[i];
    }
    ck[v[i]] = max(ck[v[i]], cnt);
  }
}
int main() {
  scanf("%d %d", &n, &k);
  int val = k;
  for (int i = 2; i * i <= val; i++) {
    while (k % i == 0) v.push_back(i), k /= i;
  }
  if (k != 1) v.push_back(k);
  for (int a, i = 1; i <= n; i++) {
    scanf("%d", &a);
    go(a);
  }
  int pi = val;
  for (int i = 2; i * i <= pi; i++) {
    while (val % i == 0) {
      val /= i;
      --ck[i];
    }
    if (ck[i] < 0) {
      puts("No");
      return 0;
    }
  }
  if (val != 1) {
    if (--ck[val] < 0) {
      puts("No");
      return 0;
    }
  }
  puts("Yes");
}