Factovisors

Time Limit: 1 Second    Memory Limit: 32768 KB

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 2^31.

Output

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

Sample Input

6 9
6 27
20 10000
20 100000
1000 1009

Sample Output

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

Submit

Source: University of Waterloo Local Contest 1999.01.31