The participants of the first congress of Paranoiac Informatics Society took their places at a rectangular table. All sat at the same side. One of them pose the following question: "What is the number of ways we can shake our hands without leaving our places? Each time every participant can shake hand of one person and this person must be his/her neighbour."

Since the congress participants are theoreticians, they asked you to write a program, which computes this number of ways. The participants hate big numbers, so they need only the last digit of the result.

Write a program which:

• reads the number of congress participants from the standard input,
• computes the last digit of the number of ways the participants can shake hands,
• writes the answer to the standard output.

Input Format

The first and only line of the standard input contains one integer $n$ ($1 ≤ n ≤ 10\,000\,000$).

Output Format

The first and only line of the standard output should contain one digit, i.e. the last digit of the number of ways the participants can shake hands.

Example

Input

4

Output

5

All correct ways to shake participants' hands for .