八皇后问题,都知道吧。循环套递归,比汉诺塔还寒,晕归晕,索性弄出来了,撒花~~~
public class Das_n_Damen_Problem extends ChessMiniJava{
static int n;
static boolean flag;
static boolean[][] Platzierung;
static boolean[] a;
static boolean[] b;
static boolean[] c;
public static void main(String[] args){
write("Wie viele Damen?");
n=read();
flag=false;
Platzierung=new boolean[n][n];
a=new boolean[n];
b=new boolean[2*n];
c=new boolean[2*n];
re(0);
}
public static void re(int i){
if(flag)
return;
for(int iSpalte=0;iSpalte<n;iSpalte++){
if(a[iSpalte]==false && b[i-iSpalte+n]==false && c[i+iSpalte]==false){
Platzierung[i][iSpalte]=true;
a[iSpalte]=true;
b[i-iSpalte+n]=true;
c[i+iSpalte]=true;
if(i==n-1){
paintField(Platzierung);
flag=true;
return;
}
else{
re(i+1);
}
Platzierung[i][iSpalte]=false;
a[iSpalte]=false;
b[i-iSpalte+n]=false;
c[i+iSpalte]=false;
}
}
}
}
附上ChessMiniJava源代码:
import java.awt.GridLayout;
import javax.swing.JPanel;
import javax.swing.JFrame;
import java.awt.Color;
import java.awt.Font;
import java.awt.Point;
import java.awt.Graphics;
import java.awt.Graphics2D;
import java.awt.GradientPaint;
import java.awt.RenderingHints;
public class ChessMiniJava extends MiniJava{
private static class Field extends JPanel {
boolean black,queen; Point p;
public Field(boolean black,boolean queen){
this.black=black;
this.queen=queen;
p = getLocation();
}
public void paint(Graphics g) {
super.paint(g);
if (black) g.setColor(Color.BLACK);
else g.setColor(Color.WHITE);
g.fillRect(p.getLocation().x,p.getLocation().y,getWidth()*2,getHeight());
g.setColor(Color.RED);
GradientPaint gradient = new GradientPaint(0, 0, Color.YELLOW, getWidth(), 0, Color.RED);
((Graphics2D)g).setPaint(gradient);
((Graphics2D)g).setRenderingHint(RenderingHints.KEY_ANTIALIASING,
RenderingHints.VALUE_ANTIALIAS_ON);
if (queen) {
g.fillOval((int)(getWidth()*.1),(int)(getHeight()*.7),(int)(getWidth()*.8),(int)(getHeight()*.2));
int[] x = {(int)(getWidth()*.1), (int)(getWidth()*.9), (int)(getWidth()*.9), (int)(getWidth()*.7), (int)(getWidth()*.5), (int)(getWidth()*.3), (int)(getWidth()*.1)};
int[] y = {(int)(getHeight()*.8),(int)(getHeight()*.8),(int)(getHeight()*.2),(int)(getHeight()*.6),(int)(getHeight()*.2),(int)(getHeight()*.6),(int)(getHeight()*.2)};
g.fillPolygon(x,y,7);
}
}
}
public static void paintField(boolean[][] field){
JFrame myFrame = new JFrame("Spielfeld");
JPanel pan = new JPanel();
java.util.Set<Integer> s1 = new java.util.HashSet<Integer>(),s2=new java.util.HashSet<Integer>(),s3 = new java.util.HashSet<Integer>(),s4=new java.util.HashSet<Integer>();
pan.setLayout(new GridLayout(field.length,field.length));
for (int x = 0 ; x < field.length; x ++){
for (int y = 0; y < field[x].length; y++){
pan.add(new Field((x+y)%2 ==1,field[x][y]));
if (field[x][y]) { s1.add(x);s2.add(y);s3.add(x+y);s4.add(field.length-1-y+x);};
}
}
boolean sol=(s1.size()==field.length)&&(field.length==s2.size())&&(field.length==s3.size())&&(field.length==s4.size());
if (System.getProperty("SOL","nowshow").equals("show")){
if (sol) pan.setBorder(javax.swing.BorderFactory.createLineBorder(Color.GREEN,5));
else pan.setBorder(javax.swing.BorderFactory.createLineBorder(Color.RED,5));
}
myFrame.add(pan);
myFrame.setSize(400,400);
myFrame.setDefaultCloseOperation(JFrame.DISPOSE_ON_CLOSE);
myFrame.setVisible(true);
}
}