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:
import io, sys, atexit, os
sys.stdout = io.BytesIO()
atexit.register(lambda: sys.__stdout__.write(sys.stdout.getvalue()))
sys.stdin = io.BytesIO(sys.stdin.read())
raw_input = lambda: sys.stdin.readline().rstrip()

n, k = [int(t) for t in raw_input().split()]
primed = []
for i in range(2,int(k**0.5)+2):
	b = 1
	while k % i == 0:
		k /= i
		b *= i
	if b > 1:
		primed.append(b)
if k > 1:
	primed.append(k)
a = [int(t) for t in raw_input().split()]
for p in primed:
	flag = False
	for t in a:
		if t % p == 0:
			flag = True
			break
	if not flag:
		print "No"
		sys.exit(0)
print "Yes"