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Competitions

Again irreducible

The fraction m / n is called regular irreducible, if 0 < m < n and GCD (m, n) = 1. Find the number of regular irreducible fractions with denominator n.

Input

Each line is a separate test case that contains one integer n (n < 109). The last line contains 0 and is not processed. The number of test cases is no more than 100.

Output

For each value of n print in a separate line the answer to the problem.

Time limit 1 seconds
Memory limit 128 MiB
Input example #1
12
123456
7654321
0

Output example #1
4
41088
7251444