def unfold[A, S](z: S)(f: S => Option[(A, S)]): LazyList[A] = f(z) match { case Some((h, s)) => h #:: unfold(s)(f) case None => LazyList() } [Note: #:: is the Cons constructor of LazyLists]   A triple (x, y, z) of positive integers is pythagorean if x2 + y2 = z2. Using the functions studied in class, define a function pyth which returns the li

Given the following class declaration: class List { public: List(); List(const List&); List& operator=(const List&); -List(); // Inserts element in the specified position, returns true if // it was able to insert. // Example, if the list is [4, 2, 1], and the user // calls list.Insert(6, 1) the list would become [4, 6, 2, 1] bool Insert(double element, size_t position) ; // Returns the position of element if found, if not found returns -1 int Index0f(double element)const ; // Removes the element in the given position double Remove(size_t position) ; // Gets the number in the given position double Get(size_t position)const ; // Returns a string representation of the list, elements // separated by commas and the list between brackets string ToString()const ; // Returns the number of elements in the list size_t Size)const; // Returns true if the list is empty, false otherwise bool IsEmpty)const; // Clears the whole list void Clear(); private: struct Node{ double number; Node* next; };…