## Welcome To SDIBT ACM-ICPC Online Judge

Problem 1065. -- Factovisors## Factovisors

Time Limit: 1 Sec Memory Limit: 64 MB

Submit: 10 Solved: 2

[Submit][Status][Forum]## Description

The factorial function, n! is defined as follows for all non-negative integers n:
0! = 1
n! = n x (n - 1)! (n > 0)
We say that a divides b if there exists an integer k such that
k x 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!

## HINT

## Source

Waterloo Local Contest Jan. 31, 1999

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