You are given a positive integer array nums. A subset of the array nums is square-free if the product of its elements is a square-free integer. A square-free integer is an integer that is not divisible by any perfect square other than 1. Return the number of square-free non-empty subsets of the array nums. Since the answer may be too large, return it modulo 10^9 + 7.
You are given a list of distinct positive integers nums. A permutation of nums is considered special if, for every pair of consecutive numbers in the permutation, one number is divisible by the other. Your task is to return the total number of special permutations of nums, modulo 10^9 + 7.