SP3105 MOD - Power Modulo Inverted

Description

Given 3 positive integers _x_, _y_ and _z_, you can find _k = x $ ^{y} $ %z_ easily, by fast power-modulo algorithm. Now your task is the inverse of this algorithm. Given 3 positive integers _x_, _z_ and _k_, find the smallest non-negative integer _y_, such that _k%z = x $ ^{y} $ %z_.

Input Format

N/A

Output Format

N/A