#1152 Factovisors

21  1 s   128 MB  

Description

The factorial function, n! is defined thus for n a non-negative integer: 
    0! = 1
    n! = n * (n-1)!   (n > 0)

We say that a divides b if there exists an integer k such that 
    k*a = b

Input

The input to your program consists of several lines, each containing two non-negative integers, n and m, both less than 231. The last line of input contains 0 0.

Output

For each input line, output a line stating whether or not m divides n!, in the format shown below.

Sample Input

Sample Output

6 9
6 27
20 10000
20 100000
1000 1009
0 0
9 divides 6!
27 does not divide 6!
10000 divides 20!
100000 does not divide 20!
1009 does not divide 1000!