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:
# *********************************************************************
# *-------------------------------------------------------------------*
# *                                                                   *
# *   Life is just a life. Lead it, Feel it & Enjoy It Properly.      *
# *   Nothing is impossible. Just believe in yourself & Almighty.     *
# *                                                                   *
# *-------------------------------------------------------------------*
# *********************************************************************
import math

def LCM(a,b):
    return int(a/math.gcd(a,b))*b

def DenTofieM():
    n, k = map(int,input().split())
    ar = list(map(int,input().split()))

    L=1
    for i in ar:
        G=math.gcd(i,k)
        L=LCM(L,G)
    if L==k: print("Yes")
    else: print("No")

DenTofieM()