# 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