you will implement a simple GUI program that uses turtle graphics to generate parametric curves such as regular polygons, rose, and roulette curves. Your program should use two windows: one window is the standard output (stdout) that displays the output of print and input functions, the other window is a graphical user interface (GUI) that displays curves. In the stdout, your program should produce the following output: Welcome to Graphical Studio! Please choose one of the following options: 1. Draw a polygon 2. Draw a rose curve 3. Draw a hypotrochoid 4. Quit If the user chooses 4, the program closes an open GUI window, prints the following message, and terminates the program: Goodbye! If the user enters 1, 2, or 3, the program asks the user to enter parameters size, n, d on one line separated by a comma: Please enter three parameters size, n, and d separated by a comma: Activate Wind Go to Settings to import turtle import math # moves a turtle t on the GUI screen from one point to another creating a curve def draw(points, t): write your code here #generates points in the form of a list of tuples of Cartesian coordinates (x, y). def polygon(size, n, d): points = [] write your code here return points # generates points in the form of a list of tuples of Cartesian coordinates (x, y) def rose(size, n, d): points = [] write your code here return points # generates points in the form of a list of tuples of Cartesian coordinates (x, y) def hypotrochoid (size, n, d): points = [] write your code here. return points # main program if _name_ == '__main__': write your code here You need to implement four functions: polygon(), rose(), hypotrochoid(), and draw(). The first three functions should generate a list of tuples (x, y), where x and y are the coordinates of a point in the Cartesian coordinate system. Use