For Exercises 15 through 28, use the incremental development methodology to implement th...

For Exercises 15 through 28, use the incremental development methodology to implement the program. Design a visually appealing GUI with Swing components and layout managers. For each exercise, identify the program tasks, create a design document with class descriptions, and draw the program diagram. Map out the development steps at the start. Present any design alternatives and justify your selection. Be sure to perform adequate testing at the end of each development step.

Write a program that plays the game of Fermi. The program generates three distinct random digits between 0 and 9. These digits are assigned to positions 1, 2, and 3. The goal of the game is for the player to guess the digits in three positions correctly in the least number of tries. For each guess, the player provides three digits for positions 1, 2, and 3. The program replies with a hint consisting of Fermi, Pico, or Nano. If the digit guessed for a given position is correct, then the reply is Fermi. If the digit guessed for a given position is in a different position, the reply is Pico. If the digit guessed for a given position does not match any of the three digits, then the reply is Nano. Here are sample replies for the three secret digits 6, 5, and 8 at positions 1, 2, and 3, respectively.

Notice that if the hints like the above are given, the player can tell which number did not match. For example, given the hint for the second guess, we can tell that 3 is not one of the secret numbers. To avoid this, provide hints in a random order or in alphabetical order (e.g., it will be Fermi Nano Pico instead of Pico Fermi Nano for the second reply). Implement the program with an attractive and elegant GUI.