1. 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. Guess Hint Explanation 1 2 5 Nano Nano Pico The value 5 matches but at the wrong position. 8 5 3 Pico Fermi Nano The value 5 matches at the correct position. The value 8 matches but at the wrong position. 5 8 6 Pico Pico Pico All match at the wrong positions. 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 no 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. (Java Problem).