Define a procedure double-divisors that receives two arguments, the first a list of positive integers and the second a natural number, and returns a list of the elements of the given list whose squares are divisors of the given natural number. (The rationale for the name is that an element of the list that results from this procedure not only evenly divides the given natural number, but also evenly divides the quotient from the first division.) For instance, the value of the call ‘(double-divisors (list 2 5 8 11 14 17 20) 3628800)’ is (list 2 5 8 20), because the squares of 2, 5, 8, and 20 (namely 4, 25, 64, and 400) are divisors of 3628800, while the squares of 11, 14, and 17 are not.
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