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:
RR=raw_input
debug=0
if debug:
    fi = open('t.txt','r')
    RR=lambda: fi.readline().replace('\n','')
RRM = lambda: map(int, RR().split())
RRI = lambda: int(RR())

N, K = RRM()
C = RRM()
X = [0]*1000005
V = [False]*1000005

MAX = 1000001
for i in xrange(2,MAX,2):
  X[i] = 2
for i in xrange(3,MAX,2):
  if not V[i]:
    X[i] = i
    j = i
    while j * i < MAX:
      if not V[j*i]:
        V[j*i] = True
        X[j*i] = i
      j += 2

from collections import defaultdict as ddic
ans = ddic(int)
bns = ddic(int)

for x in C:
  cns = ddic(int)
  while x > 1:
    y = X[x]
    cns[y] += 1
    x /= y
  for k,v in cns.iteritems():
    ans[k] = max(ans[k],v)
    
while K > 1:
  y = X[K]
  bns[y] += 1
  K /= y

def solve(A, B):
  for k in B:
    if B[k] > A[k]: return False
  return True
print "Yes" if solve(ans,bns) else "No"