Question 98
Given any $n$ positive integers, and a sequence of $2^n$ integers (with terms among them), prove there exists a subsequence made of consecutive terms, such that the product of its terms is a perfect square.
Also show that we cannot replace $2^n$ with any lower value (therefore $2^n$ is the threshold value for this property).
Also show that we cannot replace $2^n$ with any lower value (therefore $2^n$ is the threshold value for this property).