我有这个迷宫,它表示为无向图。这是它的样子:
11 3
2 3
0 3
1 4
5 4
5 7
6 7
7 8
8 9
9 10
6 11
7 11
在此图中,使用深度优先搜索,它向我展示了从起始节点到目标节点的解决方案。我作为起始节点的输入是0
,我的目标节点是1
. 我作为目标路径得到的解决方案是,0-3-11-7-5-4-1
但如果你再次分析,还有另一个解决方案是0-3-11-6-7-5-4-1
. 我在这里的目的不是展示最佳解决方案,而是展示它们有多少个解决方案,然后再分析最佳解决方案。
我遇到的困难是我无法打印多个解决方案。它只打印0-3-11-7-5-4-1
任何其他内容,有时这0-3-11-6-7-5-4-1
是因为我期望有两个要打印。这是我到目前为止所做的代码:
public class DepthFirstSearch {
private final boolean[] visited;
private final int sourceNode;
private final int[] pathTo;
/**
*
* @param mazeGraph
* @param sourceNode
* @param goal
*/
public DepthFirstSearch(MazeGraph mazeGraph, int sourceNode, int goal) {
this.sourceNode = sourceNode;
visited = new boolean[mazeGraph.node];
pathTo = new int[mazeGraph.node];
performRecursiveDFS(mazeGraph, sourceNode, goal);
}
//Perform recursive depth-first search
private void performRecursiveDFS(MazeGraph mazeGraph, int node, int goal) {
visited[node] = true;
for (int arc : mazeGraph.getAdjacencyList(node)) {
if (!visited[arc]) {
pathTo[arc] = node;
performRecursiveDFS(mazeGraph, arc, goal);
}
}
}
//Put path to goal in the stack
public Stack<Integer> pathTo(int toGoalNode) {
if (!visited[toGoalNode]) {
return null;
}
Stack<Integer> pathStack = new Stack<Integer>();
for (int pathToGoalNode = toGoalNode; pathToGoalNode != sourceNode; pathToGoalNode = pathTo[pathToGoalNode]) {
pathStack.push(pathToGoalNode);
}
pathStack.push(sourceNode);
reverseStack(pathStack);
return pathStack;
}
//Reverse the stack
public void reverseStack(Stack<Integer> stackToBeReverse) {
if (stackToBeReverse.isEmpty()) {
return;
}
int bottom = popBottomStack(stackToBeReverse);
reverseStack(stackToBeReverse);
stackToBeReverse.push(bottom);
}
//Pop the bottom of the stack
private int popBottomStack(Stack<Integer> stackToBeReverse) {
int popTopStack = stackToBeReverse.pop();
if (stackToBeReverse.isEmpty()) {
return popTopStack;
} else {
int bottomStack = popBottomStack(stackToBeReverse);
stackToBeReverse.push(popTopStack);
return bottomStack;
}
}
//Print the path to goal
public void printPath( int toGoal) {
if (visited[toGoal]) {
out.println("Path to Goal: ");
for (int x : pathTo(toGoal)) {
if (x == toGoal) {
out.print(x);
} else {
out.print(x + " - ");
}
}
out.println();
}
}
/**
*
* @param args
*/
public static void main(String[] args) {
Scanner scanFile = new Scanner(in);
out.print("Enter maze file: ");
String file = scanFile.nextLine();
out.print("Enter start node: ");
int startNode = scanFile.nextInt();
out.print("Enter goal node: ");
int goalNode = scanFile.nextInt();
MazeGraph mazeGraph = new MazeGraph(file);
mazeGraph.print();
out.println("Starting at 0\nGoal at 1");
DepthFirstSearch depthFirstSearch = new DepthFirstSearch(mazeGraph, startNode, goalNode);
depthFirstSearch.printPath( goalNode);
}
}
迷宫图源代码:
public class MazeGraph {
final int node; //Declaring constant value of a node.
int arc;
List<Integer>[] adjacencyList;
final static Set<Integer> setOfNodes = new HashSet<Integer>();
/**
* This constructors takes an integer parameter for reading node indexes in
* a list of adjacent nodes.
*
* @param node - integer parameter for passing the nodes value from the file
* and create a list of adjacent nodes.
*/
MazeGraph(int node) {
this.node = node;
this.arc = 0;
adjacencyList = (List<Integer>[]) new List[node];
for (int index = 0; index < node; index++) {
adjacencyList[index] = new LinkedList<Integer>();
}
}
/**
* The main constructor that takes a String for reading maze file.
*
* @param mazeFile
*/
public MazeGraph(String mazeFile) {
this(getNodeSize(mazeFile));
Scanner scan;
try {
//Scan maze file.
scan = new Scanner(new File(mazeFile));
/*loop when it has next integer then read two nodes from the file and add arc for it.*/
while (scan.hasNextInt()) {
int node1 = scan.nextInt();
int node2 = scan.nextInt();
addArc(node1, node2);
}
} catch (FileNotFoundException ex) {
out.println("File not found.");
}
}
/**
* This method returns a size of the set of nodes by taking a String
* parameter which the name of the maze file.
*
* @param mazeFile - String parameter for reading maze file for scanning the
* size of the nodes.
* @return - returns an integer value for the size of the set of nodes.
*/
public static int getNodeSize(String mazeFile) {
Scanner scanNodeSize;
try {
scanNodeSize = new Scanner(new File(mazeFile));
while (scanNodeSize.hasNextInt()) {
int node1 = scanNodeSize.nextInt();
int node2 = scanNodeSize.nextInt();
setOfNodes.add(node1);
setOfNodes.add(node2);
}
} catch (FileNotFoundException e) {
e.printStackTrace();
}
return setOfNodes.size();
}
/**
* This method adds an arc by adding two different nodes in array of list
* called adjacency list.
*
* @param node1 - first node.
* @param node2 - next node.
*/
private void addArc(int node1, int node2) {
arc++; //Increase arc by one whenever this addArc method is called.
adjacencyList[node1].add(node2);
adjacencyList[node2].add(node1);
}
/**
* Print the nodes and its arcs by looping through the adjacency list.
*/
public void print() {
out.println(node + " Nodes, " + arc + " Arcs \n");
for (int n = 0; n < node; n++) {
out.print(n + " connected to ");
for (int w : adjacencyList[n]) {
out.print(w + " ");
}
out.println();
}
}
/**
* This method returns a list of nodes to allow objects to be the target for
* "for-each" statement.
*
* @param nodes - an Integer parameter for getting the number of nodes in a
* list.
* @return - returns a list of nodes.
*/
public Iterable<Integer> getAdjacencyList(int nodes) {
return adjacencyList[nodes];
}
/**
* Unit testing To test if it reads the file.
*
* @param args
*/
public static void main(String[] args) {
out.print("Enter maze file: ");
Scanner scanFile = new Scanner(in);
String file = scanFile.nextLine();
MazeGraph G = new MazeGraph(file);
G.print();
}
}
请向我详细解释为什么会发生这种情况,并就如何改进这一点给我建议/建议。如果可以,请检查我的代码质量,否则不检查也没关系。无论如何提前谢谢。