Write a graphical user interface (GUI) that lets a user query as to whether a given positive integer is prime. This GUI can wrap the code from the previous exercise, using the sieve as a way to calculate prime numbers. Allow the user to use GUI elements to enter any number between 2 and 1,000,000. The GUI must show whether the selected number is prime. Feel free to make the code more efficient by replacing the sieve with a standard primality test. The program should issue a warning if the user input is invalid. You can use the builtin check of the QString: :toUInt member function to catch all non-numeric or negative input. After that, you can implement a simple range check to ensure the (now guaranteed) numeric, positive input is within the specified range. You can use the Qt Designer to edit the mainwindow. ui file to create your desired GUI. An example of a possible GUI layout is shown in Figure 1.