利用α-β剪枝算法,对下图所示的博弈树进行搜索,搜索得到根节点选择的走步,以及没有必要进行评估的节点,并求出给出在何处发生了剪枝,以及剪枝的类型(属于α剪枝还是β剪枝)。
注:□表示MIN节点;○表示MAX节点
public interface Interface{ public void getStrategy(String InputFile); }
import java.util.*; import java.io.*; public class AlphaBeta implements Interface{ final int MAX_INT=32767; final int MIN_INT=-32768; final int MAX=1; //极大节点 final int MIN=0; //极小节点 public class Node { private String name; private int value; private int leval;//节点判断极大层还是极小层 private String pFather; private ArrayList<String> pChildren; Node(String name) { this.name=name; value=-1; pFather=new String(); pChildren=new ArrayList<String>(); } } private ArrayList<Node> NodeTree; private String jianzhi[]; private int count; public void getStrategy(String inputFile){ NodeTree=new ArrayList<Node>(); jianzhi=new String[20]; count=0; readTree(inputFile); Alph_Beta(NodeTree.get(0).name); System.out.println(count); String bestRoute=""; for(int i=0;i<NodeTree.get(0).pChildren.size();i++) { if(NodeTree.get(0).value==NodeTree.get(search(NodeTree.get(0).pChildren.get(i))).value) { bestRoute=NodeTree.get(0).name+" "+NodeTree.get(0).value+" "+NodeTree.get(search(NodeTree.get(0).pChildren.get(i))).name; break; } } System.out.println(bestRoute); for(int i=0;i<count;i++) { System.out.println(jianzhi[i]); } } void Alph_Beta(String str) { boolean flag=false; Node nNode=NodeTree.get(search(str)); if(nNode.leval==MAX) { for(int i=0;i<nNode.pChildren.size();i++) { Alph_Beta(nNode.pChildren.get(i)); if(nNode.value<NodeTree.get(search(nNode.pChildren.get(i))).value) { nNode.value=NodeTree.get(search(nNode.pChildren.get(i))).value; if(Beta(str))//是否在极大点出执行Beta剪枝 { jianzhi[count]=str+":"; for(int j=i+1;j<nNode.pChildren.size();j++) { jianzhi[count]=jianzhi[count]+" "+nNode.pChildren.get(j)+" β剪枝 "; flag=true; } if(flag==true) { count++; } return; } } } } else { for(int i=0;i<nNode.pChildren.size();i++) { Alph_Beta(nNode.pChildren.get(i)); if(nNode.value>NodeTree.get(search(nNode.pChildren.get(i))).value) { nNode.value=NodeTree.get(search(nNode.pChildren.get(i))).value; if(Alpha(str)) { jianzhi[count]=str+":"; for(int j=i+1;j<nNode.pChildren.size();j++) { jianzhi[count]=jianzhi[count]+" "+nNode.pChildren.get(j)+" α剪枝"; flag=true; } if(flag==true) { count++; } return; } } } } } boolean Alpha(String str) { Node nNode=NodeTree.get(search(str)); if(nNode.pFather==null) { return false; } int i=search(nNode.pFather); while(i>=0) { if((NodeTree.get(i).value>=nNode.value)&& (NodeTree.get(i).leval==MAX)&&((NodeTree.get(i).value!=MIN_INT))) return true; else { if(i!=0) { i=search(NodeTree.get(i).pFather);//其祖先节点 } else break; } } return false; } boolean Beta(String str) { Node nNode=NodeTree.get(search(str)); if(nNode.pFather==null) { return false; } int i=search(nNode.pFather); while(i>=0) { if((NodeTree.get(i).value<=nNode.value)&& (NodeTree.get(i).leval==MIN)&&((NodeTree.get(i).value!=MAX_INT))) return true; else { if(i!=0) { i=search(NodeTree.get(i).pFather); } else break; } } return false; } public void readTree(String filename) { File file=new File(filename); String nodename[]=new String[10]; try { BufferedReader in=new BufferedReader(new FileReader(file)); String s; s=in.readLine(); if(s.startsWith("ROOT")) { nodename=s.split("\s+"); } NodeTree.add(new Node(nodename[1])); NodeTree.get(0).leval=MAX; NodeTree.get(0).value=MIN_INT; NodeTree.get(0).pFather=null; while(!(s=in.readLine()).equals("VALUE")) { nodename=s.split("\s+"); for(int i=1;i<nodename.length-1;i++) { NodeTree.get(search(nodename[0])).pChildren.add(nodename[i]); Node nNode=new Node(nodename[i]); //value为-1; nNode.pFather=nodename[0]; if(NodeTree.get(search(nodename[0])).leval==MAX) { nNode.leval=MIN; nNode.value=MAX_INT; } else { nNode.leval=MAX; nNode.value=MIN_INT; } NodeTree.add(nNode); } } String nodeValue[]=new String[10]; while(!(s=in.readLine()).equals("END")) { nodeValue=s.split("\s+"); NodeTree.get(search(nodeValue[0])).value=Integer.parseInt(nodeValue[1]); } in.close(); }catch(Exception e){ System.out.println("Error!!");} } int search(String str) { for(int i=0;i<NodeTree.size();i++) { if(NodeTree.get(i).name.equals(str)) return i; } return -1; } public static void main(String argv[]){ String test = "test.txt"; new AlphaBeta().getStrategy(test); } }
//test.txt文件 ROOT A A B C END B D E END C F G END D H I END E J K END F L M END G N O END VALUE H 4 I 1 J 5 K 0 L 3 M 2 N 7 O 1 END
结果: