Description

In this problem you will be given two decimal integer number N, M. You will have to find the last non-zero digit of the ^NP_M.This means no of permutations of N things taking M at a time.

Input

The input contains several lines of input. Each line of the input file contains two integers N (0 <= N<= 20000000), M (0 <= M <= N).

Output

For each line of the input you should output a single digit, which is the last non-zero digit of ^NP_M. For example, if ^NP_M is 720 then the last non-zero digit is 2. So in this case your output should be 2.

10 10
10 5
25 6

8
4
2

Source

uva 10212