Problem 1066. -- Last non-zero Digit in N!## HDU_1066: Last non-zero Digit in N!

Time Limit: 1000 MS Memory Limit: 32 MB 64bit IO Format: %I64d

Submitted: 5 Accepted: 4

[Submit][Status][Web Board]## Description

The expression N!, read as "N factorial," denotes the product of the first N positive integers, where N is nonnegative. So, for example,

N N!

0 1

1 1

2 2

3 6

4 24

5 120

10 3628800

For this problem, you are to write a program that can compute the last non-zero digit of the factorial for N. For example, if your program is asked to compute the last nonzero digit of 5!, your program should produce "2" because 5! = 120, and 2 is the last nonzero digit of 120.

## Input

Input to the program is a series of nonnegative integers, each on its own line with no other letters, digits or spaces. For each integer N, you should read the value and compute the last nonzero digit of N!.

## Output

For each integer input, the program should print exactly one line of output containing the single last non-zero digit of N!.

## Sample Input

## Sample Output

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