The game of Yahtzee was invented aboard a yacht by a Canadian couple in 1956. Yahtzee is a dice game based on poker. (See http://www.hasbro.com/yahtzee/original/index.html for information on the game of Yahtzee. You can play the came at http://www.wdn.com/rapcpa/yahtzee/YAHTZEE.htm.) Your assignment is to simulate a modified game of Yahtzee. To play the modified game of Yahtzee, you roll five dice a specified number of times and accumulate a score based on the best combination of the five dice. The combinations include the following:

• Two of a kind
• Three of a kind
• Four of a kind
• Yahtzee (5 of a kind).

Part I:   Simple Yahtzee

Create a new standalone project called YahtzeeMain. Implement the Yahtzee class as follows:

1. Copy the Dice class Dice.java to the directory YahtzeeMain.
2. Add the Dice class to your project.
3. Open a new file and name it Yahtzee for your class definition and add it to your project. Always be sure you are saving this file in the correct directory. In this case YahtzeeMain.

To play Yahtzee, the five dice are rolled one time and the highest score is calculated. The score is determined by the following:

• two of a kind - 5 points
• three of a kind - 7 points
• four of a kind - 15 points
• Yahtzee(five of a kind) - 20 points

Your solution must include:

• Data Fields:
  • A die.
  • The number of sides of the die.
  • The number times the die should be rolled.
  • The player's name.
  • The total points scored.
  • An array that contains the results of the rolls.
  • An array of counters containing the number of 2's, 3's etc. that are rolled.

• Constructor: The client will provide the following information:
  • The number of sides of the die.
  • The number of rolls in a game.
  • The player's name.

• Accessors: Public methods should be provided to:
  • Return the number of rolls in a game.
  • Return the player's name.
  • Return the points scored.

• Modifier: A public method that simulates the playing of the game. This method will need:
  • To roll the die the correct number of times and build the array of counters.
  • Use the array of counters to determine the best hand.
  • Compute the total points scored.

• Possible Helpers: The following private helper functions could be useful but are not required. Some of these helpers modify the state of the object.
  • Four boolean helper functions that examine the array of counters and return whether two of a kind, three of a kind etc. were rolled.
  • A method that rolls the die five times and builds an array containing the results of the rolls.
  • A method that builds the array of counters from the array of roll results.
  • A method that determines the best hand and returns the number of points. (Note: the best hand is particularly good to have as a helper, since it will need to be modified in Part II.)

Playing the Game: In your main program, create two players and have them play the game 20 times. For each game, output the individual scores of the two players and indicate which player was the winner. Remember there could be a tie. At the end, output the total score for each player and the number of times each player won. (Do not count ties as wins.) Print this version of the Yahtzee game before going on to Part II. This part is worth 15 points.

Part II: Yahtzee

Modify your Yahtzee game to score the following:

• two pair - 6 points
• small straight (4 consecutive numbers) - 8 points
• straight (5 consecutive numbers) - 9 points
• a full house (2 of one kind, 3 of another) - 10 points

Playing the Game: Play the game with two players as specified in Part I. Print this version of the Yahtzee game before going on to Part III. This part is worth 8 points.

Part III: Yahtzee with Strategy

Modify your Yahtzee game to allow one, two, or three tries at rolling the die to obtain the best hand. You must roll the die all of the times (five in our problem) for a try. Two (2) penalty points are subtracted for each extra try. Add a private data field to your Yahtzee class that keeps track of the number of tries for that turn. You may use any strategy to determine if another throw is necessary. For example always looking for the Yahtzee(five of a kind) or stop rolling if any points have been scored etc.

Playing the Game: Test your new and improved game with the same two players and print the results. You might want to experiment with different strategies to determine if higher scores result. Be brave! Print your source. This part is worth 7 points.