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 MAXN = 1111;
const int INF = 0x7f7f7f7f;
int cases;
template <class T>
inline bool read(T& x) {
  int c, ng = 1;
  for (c = getchar(); c <= 32 && ~c; c = getchar())
    ;
  if (!(~c)) return 0;
  if (c == '-') ng = -1, c = getchar();
  for (x = 0; c > 32; x = x * 10 + c - '0', c = getchar())
    ;
  x *= ng;
  return 1;
}
template <typename T>
T gcd(T a, T b) {
  if (!a) return 1;
  if (!b) return a;
  if (a < 0) a = -a;
  for (T t; b; t = a % b, a = b, b = t)
    ;
  return a;
}
vector<long long> gao;
long long n, k, x;
int main() {
  long long r = 1;
  read(n), read(k);
  for (int i = 0; i < n; i++) {
    read(x);
    r = r * x / gcd(r, x) % k;
  }
  if (r == 0) {
    puts("Yes");
  } else {
    puts("No");
  }
}