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Write a Java program that implements Conway's Game of Life, where StdDraw is used to visualize how the conditions change, creating an animation. You should implement the solution using at least two classes: GameOfLife and GameOfLifeMain. 1. Any live cell with fewer than two live neighbors dies, as if caused by underpopulation. 2. Any live cell with two or three live neighbors lives on to the next generation. 3. Any live cell with more than three live neighbors dies, as if by overpopulation. 4. Any dead cell with exactly three live neighbors becomes a live cell, as if by reproduction. The class GameOfLife should define GameOfLife objects that represent a condition in a GameOfLife simulation. The class has to have methods to manipulate the conditions, such as changing the value of a cell and simulating a step forward. In the class GameOfLife, the condition is represented in a 2-dimensional array of integers (int[][]), where 1 indicates a living cell and 0 indicates a dead cell. Hence, the game is represented by a matrix. Your GameOfLife class must have at least two constructors: public GameOfLife(int n): A constructor to generate a Game of Life with the starting condition being an n times n grid of randomly initialized cells. public GameOfLife(int[][] initialState): A constructor to generate a Game of Life with the starting condition being represented in the array initialState. You will also need to use several methods on the GameOfLife objects. There should be a method nextState() that generates the following condition in the current GameOfLife. When writing the method nextState(), it can be helpful to create another method liveNeighbours(int x, int y) which counts how many living neighbors the cell (x,y) has in the current game. The class GameOfLifeMain has the main method, which initializes a GameOfLife object and uses the methods related to the object. To ensure the animation runs smoothly, you should use the method StdDraw.show(n), where n is an integer. This method draws the image and waits n milliseconds. Following calls of drawing methods will not be shown until the next call of StdDraw.show(n). The method StdDraw.clear() can be used to erase the drawn. Finally, the class GameOfLifeMain should be able to read the starting conditions from a file (.gol). The format of the file is a matrix consisting of ones and zeros, for example: 1 0 1 0 1 1 0 1 0

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\begin{bmatrix} 1 & 0 & 1 \\ 0 & 1 & 1 \\ 0 & 1 & 0 \end{bmatrix}

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\begin{bmatrix} 1 & 0 & 1 \\ 0 & 1 & 1 \\ 0 & 1 & 0 \end{bmatrix}

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