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:
MAX = 10 ** 6 + 3
sqMAX = int(MAX ** 0.5) + 1

spf = [i for i in xrange(MAX)]

for i in xrange(0, MAX, 2): spf[i] = 2

for i in xrange(3, sqMAX, 2):
    if spf[i] == i:
        for j in xrange(i, MAX, i):
            if spf[j] == j: spf[j] = i

n, k = map(int, raw_input().strip().split())
c = map(int, raw_input().strip().split())

ans = 1 # yes

expf = [0 for i in xrange(MAX)] #exponent frequency in lcm

for x in c:
    while x > 1:
        p = spf[x]
        cnt = 0
        while x % p == 0:
            x //= p
            cnt += 1
        expf[p] = max(expf[p], cnt)

x = k
while x > 1:
    p = spf[x]
    cnt = 0
    while x % p == 0:
        x //= p
        cnt += 1
    if expf[p] < cnt:
        ans = 0
        break

if ans: print "Yes"
else: print "No"