• a default constructor that initializes the 15 pieces as in the demonstration below.
• a method that draws the puzzle pieces and the "Scramble" box.
• a move method that takes a point as its input. If the point is contained in the "Scramble" box, it calls a second (private) method with a randomly chosen position 1000 times. The purpose is to scramble the pieces, so the puzzle can be played.

PuzzleBoard will be called by Program28.java and should work like the following example:

Hints:

• Here is the documentation for the classes. This was generated by javadoc and includes descriptions of the private methods I used in the above implementation. You can use private methods of your choice. This documentation is just provided as a guideline.
  • PuzzlePiece .
  • PuzzleBoard .
• Start first with drawing the board. Make sure that works before working on the move function. Lastly, implement the "Scramble" box.
• Think about how you want to represent the "empty" piece. One way to do this is to make that part of your array empty or null. For example, if your array is called board, you can set the bottom corner to be empty by:

  board[3][3] = null;

  Then, to check if a piece is null (to avoid printing it or to find the next move):

   if ( board[i][j] == null )

  Another way to indicate the empty square is by setting it's label to a flag, like 0, and adding a getLabel() method to puzzlePiece. You can then check for the "empty" space by:

   if ( board[i][j].getLabel() == 0 )

• Write the move method in stages. First, make it work for moving "15" from its initial slot to the empty place. Then, work on the implementing the move for the bottom row, and so on.
• Since there's multiple files, using makefiles will make compiling easier. Copy the sample makefile into your directory and change the line "java Manager" to "appletviewer Program25". Then, to compile and run, you only need to type:

  $ make run