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Maze Solver Java3/19/2021
If it identifies any cycles, it should connect the vertices of the cycle using purple lines (by setting values in the edgeTo array and calling announce()) and terminate immediately.They are defined to be a set of vertices and edges and can be used to represent many things, such as network connections, dependencies, image compositions, state machines, and artificial neural networks.
It is critical for you understand graphs if you want to pursue a future in computer science - whether thats in research or industry. We will explore some of the most fundamental graph algorithms today, namely breadth first search (BFS), depth first search (DFS), Dijkstras algorithm, and A star algorithm (A). Note that we will only be using this maze visualization with a select few of the graph algorithms (BFS, DFS, and A, not Dijkstras; we will work with Dijkstras algorithm in a different way for this lab). The vertices of such a graph are shown below, with one dimensional (vertex number) coordinates on the left version and (X, Y) coordinates on the right version. If there is no wall between two adjacent vertices, then the corresponding graph has an undirected edge between the vertices. For example, adj(11) would be an iterable containing the integers 12 and 16. Later in the lab, we will ask you to implement breadth first paths and a cycle detection algorithm. For those of you who want a deeper understanding of graph algorithms, weve also provided an optional challenge to implement the A shortest paths algorithm (which may prove to be a useful exercise as practice for project 3). For this particular section of the lab, you will be required to modify the following files. Specifically, whenever you call announce, it will draw the contents of your MazeExplorers marked, distTo, and edgeTo arrays. To run a particular demo, say TrivialMazeExplorerDemo, execute java TrivialMazeExplorerDemo in command line. A sign at the beginning of a line in the config file comments it out. Maze Solver Java Free To PlayFeel free to play around with all different types by changing which MazeTypes are commented out. BFS uses a queue (FIFO) to store the fringe, whereas DFS uses a stack (FILO). Naturally, programmers often use recursion for DFS, since we can take advantage of and use the implicit recursive call stack as our fringe. Luckily, Javas powerful library already has a Queue interface (a sub-interface of the almighty Collection interface) built in. Hint: see if you can find a familiar Collection-implementing class that also implements this Queue interface. It is highly recommended you look at the code in MazeDepthFirstPaths and use it as inspiration. When you compile and run BreadthFirstDemo.java, you should see your algorithm crawl the graph, locating the shortest path from position (1, 1) to (N, N), stopping as soon as the (N, N) position is found. For todays exercise, we will use DFS to detect cycles in this maze (an undirected graph) in O(V E). For every visited vertex v, if there is an adjacent u such that u is already visited and u is not parent of v, then there is a cycle in graph. When you compile and run CyclesDemo, you should see your algorithm crawl the graph.
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