2649 -- Factovisors

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Factovisors

Time Limit: 1000MS		Memory Limit: 65536K
Total Submissions: 4932		Accepted: 1202

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 2^31.

Output

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

Sample Input

Sample Output

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

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