Though numbers are created by human beings, but there are still lots of mysteries about them. For example, for a certain positive integer n and a certain system p such as decimal, hex and so on, does a positive integer m exist that it is a multiple of n and it only contains 0 and 1 in system p.
 

Input

The first line containing a integer T indicating the number of cases.
Each case has a single line with n and p.(0<= n < 1000000 , 2 <= p < 1000000)

Output

For each case, output "Yes"(m exists) or "No"(no such number) in a single line.
Input Example

Sample Input

2
4 2
3 10

Sample Output

Yes
Yes

hint: 100(2) = 4*1(10), 111(10)=3*37(10);