create a completely simulated snake game without user input in c# in csharp

main.cs
using System;

class Program {
    static void Main() {
        int boardWidth = 20, boardHeight = 10;
        int[,] board = new int[boardHeight, boardWidth]; // Initialize board with zeros
        int startX = 10, startY = 5;
        int snakeLength = 5;

        // Initialize snake
        for (int i = 0; i < snakeLength; i++) {
            board[startY, startX-i] = 1;
        }

        // Simulation loop
        bool gameOver = false;
        int dx = 1, dy = 0; // Initial movement direction
        while (!gameOver) {
            // Update snake position
            int headX = startX + dx, headY = startY + dy;
            if (headX < 0 || headX >= boardWidth || headY < 0 || headY >= boardHeight) {
                // Snake hit wall, game over
                gameOver = true;
                Console.WriteLine("Game Over!");
                break;
            } else if (board[headY, headX] == 1) {
                // Snake hit itself, game over
                gameOver = true;
                Console.WriteLine("Game Over!");
                break;
            } else {
                // Move snake
                board[headY, headX] = 1;
                startX = headX;
                startY = headY;

                // Remove tail
                for (int y = 0; y < boardHeight; y++) {
                    for (int x = 0; x < boardWidth; x++) {
                        if (board[y, x] > 0) {
                            board[y, x]--;
                        }
                    }
                }
            }

            // Render game board
            Console.Clear();
            for (int y = 0; y < boardHeight; y++) {
                for (int x = 0; x < boardWidth; x++) {
                    if (board[y, x] == 0) {
                        Console.Write('.');
                    } else {
                        Console.Write('#');
                    }
                }
                Console.WriteLine();
            }

            // Wait before next frame
            System.Threading.Thread.Sleep(100);

            // Change direction randomly
            Random random = new Random();
            switch (random.Next(4)) {
                case 0: // Up
                    dx = 0;
                    dy = -1;
                    break;
                case 1: // Down
                    dx = 0;
                    dy = 1;
                    break;
                case 2: // Left
                    dx = -1;
                    dy = 0;
                    break;
                case 3: // Right
                    dx = 1;
                    dy = 0;
                    break;
            }
        }
    }
}
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