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 PYTHON3):

Solution:
from math import *
n,k=map(int,input().split())
arr=list(map(int,input().split()))
flag=0
if(k==1):
    print('Yes')
else:
    arr1=[]
    temp=k
    for i in range(2,k+1):
        if(temp%i==0):
            cnt=0
            while(temp%i==0):
                cnt+=1
                temp=temp//i
            arr1.append(i**cnt)
    #print(*arr1)
    mainflag=0
    for j in arr1:
        flag=0
        for i in range(n):
            if(arr[i]%j==0):
                flag=1
                break
        if(flag==0):
            mainflag=1
            break
    if(mainflag==1):
        print('No')
    else:
        print('Yes')