A Snake and Ladder game is a board game that consists of a board with squares arranged in a grid. The board also has snakes and ladders, which are used to move players' game pieces forward or backward on the board. The goal of the game is to be the first player to reach the end of the board.

Here is a low-level design (LLD) for a Snake and Ladder game:

1. Game Board: The game board consists of a grid of squares, with snakes and ladders placed at certain locations on the board. The board also has a start and an end point.

2. Game Pieces: Each player has a game piece, which is placed on the start square at the beginning of the game. The game pieces are moved along the board according to the rules of the game.

3. Dice: The game includes a dice, which is used to determine how far each player's game piece should move on their turn.

4. Turn System: The game is played in turns, with each player rolling the dice and moving their game piece the corresponding number of squares. If a player lands on a square with a ladder, they move their game piece up to the top of the ladder. If a player lands on a square with a snake, they move their game piece down to the tail of the snake.

5. Winning Condition: The game is won by the first player to reach the end square of the board.

6. User Interface: The game should have a user interface that allows players to roll the dice, move their game pieces, and see the current state of the board. This could be implemented as a physical board game with physical dice and game pieces, or as a digital game with a computer or mobile device serving as the user interface.

Here is an example of a complete low level design (LLD) for a Snake and Ladder game implemented in Java:

public class Game {
    private Board board;
    private GamePiece[] gamePieces;
    private Dice dice;
    private int currentPlayer;

    public Game() {
        board = new Board();
        gamePieces = new GamePiece[NUM_PLAYERS];
        for (int i = 0; i < NUM_PLAYERS; i++) {
            gamePieces[i] = new GamePiece();
        }
        dice = new Dice();
        currentPlayer = 0;
    }

    public void playTurn() {
        int roll = dice.roll();
        gamePieces[currentPlayer].move(roll);
        board.moveGamePiece(gamePieces[currentPlayer]);
        currentPlayer = (currentPlayer + 1) % NUM_PLAYERS;
    }

    public int getWinner() {
        for (int i = 0; i < NUM_PLAYERS; i++) {
            if (gamePieces[i].isAtEnd()) {
                return i;
            }
        }
        return -1;
    }
}

public class Board {
    private Square[] squares;
    private Snake[] snakes;
    private Ladder[] ladders;

    public Board() {
        squares = new Square[NUM_SQUARES];
        snakes = new Snake[NUM_SNAKES];
        ladders = new Ladder[NUM_LADDERS];
    }

    public void moveGamePiece(GamePiece gamePiece) {
        // Check if the game piece has landed on a snake or ladder
        for (Snake snake : snakes) {
            if (gamePiece.getPosition() == snake.getHead()) {
                gamePiece.setPosition(snake.getTail());
                break;
            }
        }
        for (Ladder ladder : ladders) {
            if (gamePiece.getPosition() == ladder.getBottom()) {
                gamePiece.setPosition(ladder.getTop());
                break;
            }
        }
    }
}

public class GamePiece {
    private int position;

    public GamePiece() {
        position = 0;
    }

    public void move(int spaces) {
        position += spaces;
    }

    public boolean isAtEnd() {
        return position >= NUM_SQUARES;
    }

    public int getPosition() {
        return position;
    }

    public void setPosition(int position) {
        this.position = position;
    }
}

public class Dice {
    private Random random;

    public Dice() {
        random = new Random();
    }

    public int roll() {
        return random.nextInt(6) + 1;
    }
}

public class Square {
    // Square class has no additional attributes or methods
}

public class Snake {
    private int head;
    private int tail;

    public Snake(int head, int tail) {
        this.head = head;
        this.tail = tail;
    }

    public int getHead() {
        return head;
    }

    public int getTail() {
        return tail;
    }
}

public class Ladder {
    private int bottom;
    private int top;

    public Ladder(int bottom, int top) {
        this.bottom = bottom;
        this.top = top;
    }

    public int getBottom() {
        return bottom;
    }

    public int getTop() {
        return top;
    }
}