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Time Limit: 1.0 Seconds   Memory Limit: 65536K
Total Runs: 787   Accepted Runs: 393



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.

Sample Input

7
12
0

Sample Output

6
4


Source: Waterloo Local Contest Jun. 1, 2002
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