# Love you Ten thousand years

Time Limit: 9000/3000 MS (Java/Others)

Memory Limit: 32768/32768 K (Java/Others)

## Description

Love you Ten thousand years------Earth's rotation is a day that is the representative of a day I love you. True love, there is no limit and no defects. Earth's revolution once a year, it is on behalf of my love you more than a year. Permanent horizon, and my heart will never change ……

We say that integer x, 0 < x < n,(n is a odd prime number) is a LovePoint-based-on n if and only if the set { (xi mod n) | 1 <= i <= n-1 } is equal to { 1, ..., n-1 }. For example, the powers of 3 modulo 7 are 3, 2, 6, 4, 5, 1, and thus 3 is a LovePoint-based-on 7.
Now give you a integer n >= 3(n will not exceed 231).
We say the number of LovePoint-based-on n is the number of days the earth rotating.
Your task is to calculate the number of days someone loved you.

## Input

Each line of the input contains an integer n. Input is terminated by the end-of-file.

## Output

For each n, print a single number that gives the number of days someone loved you.

## Sample Input

5

## Sample Output

2

zty