### Instruction:
Create a Java program that generates a random maze of a given size (rows and columns) using depth-first search algorithm, and then finds the shortest path from the top-left corner to the bottom-right corner using breadth-first search algorithm.


### Response:

Here's a Java program that generates a random maze using the depth-first search algorithm and finds the shortest path from the top-left corner to the bottom-right corner using the breadth-first search algorithm:

```java
import java.util.ArrayList;
import java.util.Collections;
import java.util.LinkedList;
import java.util.List;
import java.util.Queue;
import java.util.Random;

public class MazeGenerator {
    private static final int WALL = 0;
    private static final int PATH = 1;
    private static final int VISITED = 2;
    private static final int[] DX = {-1, 0, 1, 0};
    private static final int[] DY = {0, 1, 0, -1};

    public static void main(String[] args) {
        int rows = 10;
        int columns = 10;
        int[][] maze = generateMaze(rows, columns);
        printMaze(maze);
        List<int[]> shortestPath = findShortestPath(maze);
        System.out.println("Shortest Path:");
        for (int[] point : shortestPath) {
            System.out.printf("(%d, %d)%n", point[0], point[1]);
        }
    }

    private static int[][] generateMaze(int rows, int columns) {
        int[][] maze = new int[rows][columns];
        for (int i = 0; i < rows; i++) {
            for (int j = 0; j < columns; j++) {
                maze[i][j] = WALL;
            }
        }
        Random random = new Random();
        dfs(random, maze, 1, 1);
        return maze;
    }

    private static void dfs(Random random, int[][] maze, int x, int y) {
        maze[x][y] = PATH;
        List<Integer> directions = new ArrayList<>(4);
        for (int i = 0; i < 4; i++) {
            directions.add(i);
        }
        Collections.shuffle(directions, random);
        for (int direction : directions) {
            int nx = x + DX[direction] * 2;
            int ny = y + DY[direction] * 2;
            if (isValid(maze, nx, ny)) {
                maze[nx - DX[direction]][ny - DY[direction]] = PATH;
                dfs(random, maze, nx, ny);
            }
        }
    }

    private static boolean isValid(int[][] maze, int x, int y) {
        return x >= 1 && x < maze.length - 1 && y >= 1 && y < maze[x].length - 1 && maze[x][y] == WALL;
    }

    private static void printMaze(int[][] maze) {
        for (int[] row : maze) {
            for (int cell : row) {
                System.out.print(cell == WALL ? "#" : " ");
            }
            System.out.println();
        }
    }

    private static List<int[]> findShortestPath(int[][] maze) {
        Queue<int[]> queue = new LinkedList<>();
        queue.offer(new int[]{1, 1, 0});
        while (!queue.isEmpty()) {
            int[] current = queue.poll();
            int x = current[0];
            int y = current[1];
            int distance = current[2];

            if (x == maze.length - 2 && y == maze[x].length - 2) {
                List<int[]> path = new ArrayList<>(distance + 1);
                while (current != null) {
                    path.add(0, new int[]{current[0], current[1]});
                    current = current[3] >= 0 ? maze[current[0] + DX[current[3]]][current[1] + DY[current[3]]] : null;
                }
                return path;
            }

            for (int direction = 0; direction < 4; direction++) {
                int nx = x + DX[direction];
                int ny = y + DY[direction];
                if (isValidForBfs(maze, nx, ny)) {
                    maze[nx][ny] = VISITED;
                    queue.offer(new int[]{nx, ny, distance + 1, (direction + 2) % 4});
                }
            }
        }
        return Collections.emptyList();
    }

    private static boolean isValidForBfs(int[][] maze, int x, int y) {
        return x >= 0 && x < maze.length && y >= 0 && y < maze[x].length && maze[x][y] == PATH;
    }
}
```

This program first generates a random maze using the depth-first search algorithm. Then it finds the shortest path from the top-left corner to the bottom-right corner using the breadth-first search algorithm and prints both the maze and the shortest path.

You can change the `rows` and `columns` variables in the `main` method to generate mazes of different sizes.