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. Output For each input line, output a line stating whether or not m divides n!, in the format shown below. Sample Input 69 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!