Problem Description
Definition 1. n!!…! = n(nk)(n−2k)…(n mod k), if k doesn’t divide n; n!!…! = n(nk)(n−2k)…k, if k divides n (There are k marks ! in the both cases).
Definition 2. X mod Y a remainder after division of X by Y.
For example, 10 mod 3 = 1; 3! = 321; 10!!! = 10741.
Given numbers n and k we have calculated a value of the expression in the first definition. Can you do it as well?

Input
contains the only line: one integer n, 1 ≤ n ≤ 10, then exactly one space, then k exclamation marks, 1 ≤ k ≤ 20.

Output
contains one number n!!…! (there are k marks ! here).


郁闷,发了半天没成功,解释就不敲了,大家估计都懂。