I am given an integer $$$A$$$ of size $$$N$$$. I want to make a multiset from $$$A$$$ such that, if any two elements of the multiset are multiplied, the product should not be a perfect cube. What is the maximum size of the multiset? I can only think of the bruteforce approach. Can we solve it in some efficient way? For example, if A=[1,2,4]. We can create a multiset M=[1,2]. As multiplication of 1*2 is not a cube. Similarly, M can also be [1,4], but not [1,2,4] as 2*4=8, is a cubic number.