Question: Need help with my JAVA programming homework! Thanks Solve for a path through a Two-Dimensional maze by use of exhaustive search and backtracking. Given a

Need help with my JAVA programming homework! Thanks

Solve for a path through a Two-Dimensional maze by use of exhaustive search and backtracking.

Given a two-dimensional array like the one shown below, create a recursive Java program that will traverse the array looking for a path from the upper left corner to the lower right.

private int[][] grid = { {1,1,1,0,1,1,0,0,0,1,1,1,1}, {1,0,1,1,1,0,1,1,1,1,0,0,1}, {0,0,0,0,1,0,1,0,1,0,1,0,0}, {1,1,1,0,1,1,1,0,1,0,1,1,1}, {1,0,1,0,0,0,0,1,1,1,0,0,1}, {1,0,1,1,1,1,1,1,0,1,1,1,1}, {1,0,0,0,0,0,0,0,0,0,0,0,0}, {1,1,1,1,1,1,1,1,1,1,1,1,1}};

Program specifications:

In the maze, values represented are:

- 1 An available space for a path (an open room)

- 0 Awall

- 3 A visited room

- 7 A room on a successful path

Your program should:

Start in the upper left corner

Attempt to move in a direction

- Check that the room you want to move into is inside the maze

- Check that the room you want to move to is available (not a wall)

- Check that the room you want to move to has not been visited previously

If the move is not valid try to move in another direction

If the is valid, move into the room and mark it as visited (3)

If no valid move is available, unwind in your recursive call stack to the previous call and try the next direction from there

Repeat until either youve reached the goal or youve determined that there is no path through the maze.

Some suggestions:

Determine what the base cases will be

Your recursive method should return a variable of type boolean.

Your recursive methods signature should accept two parameters only.

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