Relatives

Time Limit: Java: 2000 ms / Others: 2000 ms

Memory Limit: Java: 65536 KB / Others: 65536 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.


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
4

Hint

None

Source

University of Waterloo Local Contest 2002.07.

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