Yatzy

The Wikipedia page for Yatzy contains the description of the game. You will implement a one-player version.

• There are five dice. In each turn, the player may roll some or all of the dice up to three times.
• After the first or second roll, the player may score the dice against a scoring category and end the turn. After the third roll, the player must score the dice against a scoring category and end the turn.
• The scoring categories are generally grouped into the "Upper Section" and the "Lower Section"; however, due to the display's aspect ratio, we will refer to them as the "Left Section" and the "Right Section."
  • The Left Section has these scoring categories:
    • Ones: The sum of all dice showing 1 pip
    • Twos: The sum of all dice showing 2 pips
    • Threes: The sum of all dice showing 3 pips
    • Fours: The sum of all dice showing 4 pips
    • Fives: The sum of all dice showing 5 pips
    • Sixes: The sum of all dice showing 6 pips
    • Bonus (not player-selectable): if the Left Section's player- selectable categories sum to 63 (an average of three dice in each category), then the player receives a 50-point bonus
  • The Right Section has these scoring categories:
    • One Pair (2 dice showing the same number of pips), scored as the sum of those 2 dice
    • Two Pair (2 different pairs of dice), scored as the sum of the dice in those pairs
      • The face-value of the two different pairs must be different; for example, 1-2-2-3-3 may be scored as Two Pair, but 1-2-2-2-2 may not be scored as Two Pair
    • Three of a Kind (3 dice showing the same number of pips), scored as the sum of those 3 dice
    • Four of a Kind (4 dice showing the same number of pips), scored as the sum of those 4 dice
    • Small Straight (the combination of 1-2-3-4-5), scored as the sum of those 5 dice
      • Note that this is not the same definition of a "small straight" in Yahtzee®
    • Large Straight (the combination of 2-3-4-5-6), scored as the sum of those 5 dice
      • Note that this is not the same definition of a "large straight" in Yahtzee®
    • Full House (three of a kind and a pair), scored as the sum of those 5 dice
      • The face-value of the pair must be different than the face- value of the three of a kind; for example, 2-2-2-3-3 may be scored as a Full House, but 2-2-2-2-2 may not be scored as Full House
    • Chance (any combination of dice), scored as the sum of those 5 dice
    • Yatzy (5 dice showing the same number of pips), scored as 50 points
  • Dice that do not conform to a scoring category's requirements may be assigned to that category, but they will receive a score of 0.