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 PYTHON):

Solution:
def gcd(a,b):
    if b==0:
        return a
    else:
        return gcd(b,a%b)
# print gcd(14*34,14*56465)
def lcm(a,b):
    return (a*b)/gcd(a,b)
def solve():
    n,k=map(int,raw_input().split())
    c=map(int,raw_input().split())
    lcmC=gcd(c[0],k)
    for x in xrange(1,n):
        lcmC=lcm(lcmC,gcd(c[x],k))
    if lcmC==k:
        print "Yes"
    else:
        print "No"
solve()