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 N = 1e5 + 5;
const int INF = 0x3f3f3f3f;
const int mod = 1e9 + 7;
bool cov[1005];
int n, k, cnt, fac[1005];
int main() {
  scanf("%d%d", &n, &k);
  for (int i = 2; i <= k; ++i) {
    if (k % i) continue;
    int cur = 1;
    while (k % i == 0) cur *= i, k /= i;
    fac[++cnt] = cur;
  }
  for (int i = 0; i < n; ++i) {
    int x;
    scanf("%d", &x);
    for (int j = 1; j <= cnt; ++j)
      if (x % fac[j] == 0) cov[j] = true;
  }
  bool flag = 1;
  for (int i = 1; i <= cnt; ++i)
    if (!cov[i]) flag = 0;
  if (flag)
    printf("Yes\n");
  else
    printf("No\n");
  return 0;
}