You are provided an integer n. Your task is to determine the largest integer a (a<n−1) that is a coprime of n. This implies that gcd(a,n)=1.
Input format
A single line that contains an integer n
Output format
Print the answer to the question.
Constraints
3≤n≤103
Largest integer less than 3 (n-1), coprime with 4 is 1