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Recursion - Backtracking Two-D Maze Traversal Solution




This assignment:




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 – A ‘wall’



3 – A visited room
7 – A room on a successful path



Your program should:




Start in the upper left corner






Eastern Washington University
CSCD211 – Programming Principles II







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 you’ve reached the goal or you’ve 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 method’s signature should accept two parameters only.












To turn in




All source files necessary to compile and run program in a jar or zip file named with your last name, followed by first initial of first name, followed by hw6 (e.g.: peterschw6.jar)



Name the class that contains your main method MazeTester































































Eastern Washington University

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