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>
int n, k, c[1000015], d, lcm[1000015], pf[1000015], cp, cf[1000015];
long long tot = 1;
using namespace std;
int main() {
  for (int i = 2; i <= 1000000; i++) {
    if (pf[i] == 0) {
      for (int j = i; j <= 1000000; j += i) {
        pf[j] = i;
      }
    }
  }
  cin >> n >> k;
  for (int i = 1; i <= n; i++) {
    scanf("%d", &c[i]);
    cp = c[i];
    while (cp != 1) {
      cf[pf[cp]]++;
      cp = cp / pf[cp];
    }
    cp = c[i];
    while (cp != 1) {
      if (lcm[pf[cp]] < cf[pf[cp]]) {
        lcm[pf[cp]] = cf[pf[cp]];
      }
      cf[pf[cp]] = 0;
      cp = cp / pf[cp];
    }
  }
  cp = k;
  while (cp != 1) {
    cf[pf[cp]]++;
    cp = cp / pf[cp];
  }
  cp = k;
  while (cp != 1) {
    if (lcm[pf[cp]] < cf[pf[cp]]) {
      cout << "No" << endl;
      return 0;
    }
    cf[pf[cp]] = 0;
    cp = cp / pf[cp];
  }
  cout << "Yes" << endl;
  return 0;
}