# Relatives

Time Limit: 1 Second Memory Limit: 32768 KB

Given n, a positive integer, how many positive integers less than n are relatively prime to n? Two integers a and b are relatively prime if there are no integers x > 1, y > 0, z > 0 such that a = xy and b = xz.

## Input

There are several test cases. For each test case, standard input contains a line with n <= 1,000,000,000. A line containing 0 follows the last case.

## Output

For each test case there should be single line of output answering the question posed above.

## Sample Input

7 12 0

## Sample Output

6 4Submit

Source: University of Waterloo Local Contest 2002.07.01