Relatives

Time Limit: 1000 mSec

Memory Limit: 32768 KB

Description

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.

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.

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

Input

Output

Sample Input

7
12
0

Sample Output

6
4

Hint

Source


提交代码