递归图遍历

时间:2013-05-20 18:21:47

标签: java graph path traversal depth-first-search


我正在用Java编写一个程序来解决这个游戏中的难题: http://universefactory.net/0/

我已将问题建模如下

节点类:

 package model;

    import java.util.ArrayList;

    public class Node {
    private final int nodeId;
    private ArrayList<Edge> edges;

    ArrayList<Edge> getEdges() {
        return edges;
    }

    public int getNodeId() {
        return nodeId;
    }

    public Node(int id) {
        nodeId = id;
        edges = new ArrayList<Edge>();
    }

    @SuppressWarnings("unused")
    private Node() {
        nodeId = -1;
    }

    private void addEdge(Edge toBeAdded) {

        if (toBeAdded != null)
            edges.add(toBeAdded);
    }

    public void addEdgeTo(Node to, Star star) {
        if(this.equals(to))
            return;
        if (to != null) {
            Edge edge = new Edge(to, star);
            addEdge(edge);
        }

    }

    public void addEdgeTo(Node to) {
        if(this.equals(to))
            return;
        if (to != null) {
            Edge edge = new Edge(to);
            addEdge(edge);
        }

    }

    public Edge getEdge(Node to)
    {
        Node edgeDestination;
        for(Edge edgeIterator: edges)
        {
            edgeDestination = edgeIterator.goesTo();
            if(edgeDestination.equals(to))
                return edgeIterator;
        }
        return null;
    }

    public Edge popEdge(Node to)
    {

        Node edgeDestination;
        for(Edge edgeIterator: edges)
        {
            edgeDestination = edgeIterator.goesTo();
            if(edgeDestination.equals(to))
            {
                edges.remove(edgeIterator);
                return edgeIterator;
            }
        }
        return null;
    }



    @Override
    public boolean equals(Object obj) {
        if (this == obj)
            return true;
        if (obj == null)
            return false;
        if (getClass() != obj.getClass())
            return false;
        Node other = (Node) obj;
        if (nodeId != other.nodeId)
            return false;
        return true;
    }
    }

边缘类:

 package model;

    public class Edge {

    private final Star star;
    private final Node to;

    Edge(Node nodeTo) {
        star = null;
        to = nodeTo;
    }

    Edge(Node nodeTo, Star star) {
        this.star = star;
        to = nodeTo;
    }

    public void consumeEdge() {
        if (star != null) {
            star.die();
        }
    }

    public boolean consumable() {
        if (star == null)
            return false;
        return star.isAlive();
    }

    public Node goesTo() {
        return to;
    }
    }

星级

 package model;

    public class Star {

    boolean dead = false;
    public void die() {
        dead = true;
    }

    public boolean isAlive()
    {
        return !dead; 
    }
    }

和图表类:

package model;

import java.util.ArrayList;

public class Graph {

private ArrayList<Node> nodes = null;
private ArrayList<Star> stars = null;
private Node startNode = null;
private final int startNodeID = 0;

public Graph(ArrayList<Node> nodeArr, ArrayList<Star> starArr) {
    // TODO Auto-generated constructor stub

    nodes = nodeArr;
    stars = starArr;
    setStartNode();
}

private void setStartNode() {
    for (Node nodeIterator : nodes) {
        if (nodeIterator.getNodeId() == startNodeID) {
            startNode = nodeIterator;
            break;
        }
    }
}

public Graph(Graph other) {

    nodes = new ArrayList<Node>();
    stars = new ArrayList<Star>();
    nodes.addAll(other.getNodes());
    stars.addAll(other.getStars());
    setStartNode();
}

public ArrayList<Node> solve() {

    final int numberOfStars = stars.size();
    ArrayList<Node> solution = new ArrayList<Node>();
    solution.add(startNode);
    recursiveSolver(startNode, numberOfStars, solution);
    return solution;
}

private boolean recursiveSolver(Node currentNode, int numberOfStars,
        ArrayList<Node> solutionPointer) {

    if (numberOfStars == 0) 
        return true;
    for(Edge edgeIterator: currentNode.getEdges())
    {
        Node nextNode = edgeIterator.goesTo();
        Graph deepCopy = new Graph(this);
        currentNode = deepCopy.getNode(currentNode);
        nextNode = deepCopy.getNode(nextNode);
        //deepCopy.traverse(currentNode, nextNode);
                    //deepCopy.recursiveSolver(.....);
        //Not sure how to finish this <---------------------------PROBLEM AREA
    }


}

private Node getNode(Node currentNode) {
    return getNode(currentNode.getNodeId());

}

private ArrayList<Node> getNodes() {
    return nodes;
}

private ArrayList<Star> getStars() {
    return stars;
}

public void linkNodesWith(int fromNodeID, int toNodeID, Star star) {

    final Node from = getNode(fromNodeID);
    final Node to = getNode(toNodeID);
    if (from != null && to != null)
        linkNodesWith(from, to, star);

}

private void linkNodesWith(Node nodeFrom, Node nodeTo, Star star) {
    nodeFrom.addEdgeTo(nodeTo, star);
    nodeTo.addEdgeTo(nodeFrom, star);

}

public Node getNode(int nodeId) {

    for (Node iteratorNode : nodes) {
        if (iteratorNode.getNodeId() == nodeId)
            return iteratorNode;
    }
    return null;
}

public void removeNode(Node nodeToRemove) {
    nodes.remove(nodeToRemove);
    for (Node nodeIterator : nodes) {
        nodeIterator.popEdge(nodeToRemove);
    }
}

public void removeNode(int nodeIdToRemove) {
    Node nodeToRemove = getNode(nodeIdToRemove);
    removeNode(nodeToRemove);
}

    //Last three functions are used to create a specific graph to solve
public void populateEdges() {
    for (Node nodeFromIterator : nodes) {
        for (Node nodeToIterator : nodes) {
            nodeFromIterator.addEdgeTo(nodeToIterator);
        }
    }
}

public void replaceEdge(int nodeFromID, int nodeToID, Star star) {
    Node nodeFrom = getNode(nodeFromID);
    Node nodeTo = getNode(nodeToID);
    unlinkNodes(nodeFrom, nodeTo);
    linkNodesWith(nodeFrom, nodeTo, star);

}

private void unlinkNodes(Node nodeFrom, Node nodeTo) {
    nodeFrom.popEdge(nodeTo);
    nodeTo.popEdge(nodeFrom);
}
}

每次删除/遍历节点时,如果不对图表进行深层复制,我无法找到解决此问题的方法,即使这样我也不确定如何在数组列表中保存路径。是否有更好的方法来模拟可以简化解决方案的问题?

universefactory.net/0:游戏我试图为其编写解决方案。

1 个答案:

答案 0 :(得分:0)

您可以使用递归回溯解决方案和不可变图来完成此操作,例如

1)构建一个包含所有节点+所有边和一组星的图(每个星包含它所在的所有边的列表,或每个边包含对其上的星(不是副本)的引用列表路径。无论什么对你更有意义)

2)编写递归方法。其参数为:

  • 图表+明星列表(不可变)
  • 到目前为止采取的节点列表,按顺序
  • 到目前为止所采取的边缘列表,按顺序
  • 要留下的明星名单

应该执行以下操作:

2a)如果有可能采取移动(来自其所在节点的边缘不在目前为止所采用的边缘列表中),则递归分支并尝试每个下一步移动,通过调用

  • 图表+明星列表(不可变)
  • 到目前为止所采用的边缘列表的副本,按顺序添加此模式采用的新边缘
  • 到目前为止所采用的节点列表的副本,按顺序添加此模式采用的新节点
  • 要留下的星星列表副本,减去此次移动所拍摄的新星星

2b)如果没有可能采取的模式,请检查我们是否拍摄了所有星星。如果我们有,那么这就是解决方案(打印出边缘列表)