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首先给定一个初始坐标,然后构建一个容器保存坐标值,之后进行迭代,横坐标+1,或者纵坐标+1,这个顺寻自己定义(四个方向),经过的“路径”保存在那个容器中,如果遇到死角,以此往回迭代,在容器中将遇到死角的那个坐标删除。最后找到自己定义的那个迷宫出口坐标。
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非常难。思路:
1、设老鼠的行进路线都是优先选择下-右-上-左。
2、设老鼠很聪明,走过的路线走撒泡尿,表示鼠大爷到此一游,我们可以把数组的值改为3,表示走过,但走不通。
3、这是一个int[8][8]的二位数组,那么开始位置下标是1,1,结束位置是6,6。行和列分别用、j表示。
4、实际路线我们可以设置2表示,我们可以使用递归,让老鼠不断测试路线。
5、最后打印数组,看老鼠的实际路线。
package 走迷宫;
import java.awt.BorderLayout;
import java.awt.Color;
import java.awt.GridLayout;
import java.awt.event.ActionEvent;
import java.awt.event.ActionListener;
import java.util.ArrayList;
import java.util.LinkedList;
import java.util.List;
import java.util.TimerTask;
import javax.swing.JButton;
import javax.swing.JFrame;
import javax.swing.JOptionPane;
import javax.swing.JPanel;
// 迷宫
public class Maze extends JFrame implements ActionListener {
private JPanel panel;
private JPanel northPanel;
private JPanel centerPanel;
private MazeGrid grid[][];
private JButton restart;
private JButton dostart;
private int rows;// rows 和cols目前暂定只能是奇数
private int cols;
private ListString willVisit;
private ListString visited;
private LinkedListString comed;
private long startTime;
private long endTime;
public Maze() {
rows = 25;
cols = 25;
willVisit = new ArrayListString();
visited = new ArrayListString();
comed = new LinkedListString();
init();
this.setTitle("回溯法--走迷宫");
this.add(panel);
this.pack();
this.setVisible(true);
this.setDefaultCloseOperation(JFrame.EXIT_ON_CLOSE);
}
public void init() {
panel = new JPanel();
northPanel = new JPanel();
centerPanel = new JPanel();
panel.setLayout(new BorderLayout());
restart = new JButton("重新生成迷宫");
dostart = new JButton("开始走迷宫");
grid = new MazeGrid[rows][cols];
centerPanel.setLayout(new GridLayout(rows, cols, 1, 1));
centerPanel.setBackground(new Color(0, 0, 0));
northPanel.add(restart);
northPanel.add(dostart);
dostart.addActionListener(this);
restart.addActionListener(this);
for (int i = 0; i grid.length; i++)
for (int j = 0; j grid[i].length; j++) {
if (j % 2 == 0 i % 2 == 0)
grid[i][j] = new MazeGrid(true, 20, 20);
else
grid[i][j] = new MazeGrid(false, 20, 20);
}
grid[0][0].setVisited(true);
grid[0][0].setPersonCome(true);
grid[0][0].setStart(true);
visited.add("0#0");
grid[rows - 1][cols - 1].setEnd(true);
grid = createMap(grid, 0, 0);
for (int i = 0; i grid.length; i++)
for (int j = 0; j grid[i].length; j++) {
grid[i][j].repaint();
centerPanel.add(grid[i][j]);
}
panel.add(northPanel, BorderLayout.NORTH);
panel.add(centerPanel, BorderLayout.CENTER);
}
/**
* 生成迷宫
*
* @param mazeGrid
* @param x
* @param y
* @return
*/
public MazeGrid[][] createMap(MazeGrid mazeGrid[][], int x, int y) {
int visitX = 0;
int visitY = 0;
if (x - 2 = 0) {
if (!mazeGrid[x - 2][y].isVisited()) {
willVisit.add((x - 2) + "#" + y);
}
}
if (x + 2 cols) {
if (!mazeGrid[x + 2][y].isVisited()) {
willVisit.add((x + 2) + "#" + y);
}
}
if (y - 2 = 0) {
if (!mazeGrid[x][y - 2].isVisited()) {
willVisit.add(x + "#" + (y - 2));
}
}
if (y + 2 rows) {
if (!mazeGrid[x][y + 2].isVisited()) {
willVisit.add(x + "#" + (y + 2));
}
}
if (!willVisit.isEmpty()) {
int visit = (int) (Math.random() * willVisit.size());
String id = willVisit.get(visit);
visitX = Integer.parseInt(id.split("#")[0]);
visitY = Integer.parseInt(id.split("#")[1]);
mazeGrid[(visitX + x) / 2][(visitY + y) / 2].setMark(true);
mazeGrid[visitX][visitY].setVisited(true);
if (!visited.contains(id)) {// 将这个点加到已访问中去
visited.add(id);
}
willVisit.clear();
createMap(mazeGrid, visitX, visitY);
} else {
if (!visited.isEmpty()) {
String id = visited.remove(visited.size() - 1);// 取出最后一个元素
visitX = Integer.parseInt(id.split("#")[0]);
visitY = Integer.parseInt(id.split("#")[1]);
mazeGrid[visitX][visitY].setVisited(true);
createMap(mazeGrid, visitX, visitY);
}
}
return mazeGrid;
}
/**
* 走迷宫
*
* @param mazeGrid
* @param x
* @param y
*/
public String goMaze(MazeGrid mazeGrid[][], int x, int y) {
int comeX = 0;
int comeY = 0;
// left
if (x - 1 = 0) {
if (mazeGrid[x - 1][y].isMark()) {
if (!comed.contains((x - 1) + "#" + y))
willVisit.add((x - 1) + "#" + y);
}
}
// right
if (x + 1 cols) {
if (mazeGrid[x + 1][y].isMark()) {
if (!comed.contains((x + 1) + "#" + y))
willVisit.add((x + 1) + "#" + y);
}
}
// up
if (y - 1 = 0) {
if (mazeGrid[x][y - 1].isMark()) {
if (!comed.contains(x + "#" + (y - 1)))
willVisit.add(x + "#" + (y - 1));
}
}
// down
if (y + 1 rows) {
if (mazeGrid[x][y + 1].isMark()) {
if (!comed.contains(x + "#" + (y + 1)))
willVisit.add(x + "#" + (y + 1));
}
}
if (!willVisit.isEmpty()) {
int visit = (int) (Math.random() * willVisit.size());
String id = willVisit.get(visit);
comeX = Integer.parseInt(id.split("#")[0]);
comeY = Integer.parseInt(id.split("#")[1]);
mazeGrid[x][y].setPersonCome(false);
mazeGrid[comeX][comeY].setPersonCome(true);
mazeGrid[x][y].repaint();
mazeGrid[comeX][comeY].repaint();
willVisit.clear();
comed.add(x + "#" + y);
} else {
if (!comed.isEmpty()) {
String id = comed.removeLast();
comeX = Integer.parseInt(id.split("#")[0]);
comeY = Integer.parseInt(id.split("#")[1]);
mazeGrid[x][y].setPersonCome(false);
mazeGrid[comeX][comeY].setPersonCome(true);
mazeGrid[x][y].repaint();
mazeGrid[comeX][comeY].repaint();
comed.addFirst(x + "#" + y);
}
}
return comeX + "#" + comeY;
}
int comeX = 0;
int comeY = 0;
public void actionPerformed(ActionEvent e) {
if (e.getActionCommand().equals("重新生成迷宫")) {
refreshMap(grid);
} else if (e.getActionCommand().equals("开始走迷宫")) {
startTime = System.currentTimeMillis();
dostart.setVisible(false);
restart.setText("禁止刷新");
int delay = 1000;
int period = 500;// 循环间隔
java.util.Timer timer = new java.util.Timer();
timer.scheduleAtFixedRate(new TimerTask() {
public void run() {
if (grid[rows - 1][cols - 1].isPersonCome()) {
endTime = System.currentTimeMillis();
JOptionPane.showMessageDialog(null, "已经走出迷宫,耗时"
+ (endTime - startTime) / 1000 + "秒", "消息提示",
JOptionPane.ERROR_MESSAGE);
this.cancel();
restart.setText("重新生成迷宫");
} else {
String id = goMaze(grid, comeX, comeY);
comeX = Integer.parseInt(id.split("#")[0]);
comeY = Integer.parseInt(id.split("#")[1]);
}
}
}, delay, period);
}
}
/**
* 刷新地图
*/
public void refreshMap(MazeGrid mazeGrid[][]) {
comeX = 0;
comeY = 0;
willVisit.clear();
visited.clear();
comed.clear();
this.remove(panel);
init();
this.add(panel);
this.pack();
this.setVisible(true);
}
public static void main(String args[]) {
long start = System.currentTimeMillis();
new Maze();
long end = System.currentTimeMillis();
System.out.println("使用ArrayList生成迷宫耗时:" + (end - start) + "毫秒");
}
}
我这是用c写的。你可以看看,希望能帮助到你。
#include"stdlib.h"
#include"stdio.h"
#define N 50
#define M 50
int X;
int maze[N+2][M+2];
struct point{
int row,col,predecessor;
}queue[512];
int head=0,tail=0;
void shoudong_maze(int m,int n){
int i,j;
printf("\n\n");
printf("请按行输入迷宫,0表示通路,1表示障碍:\n\n");
for(i=0;im;i++)
for(j=0;jn;j++)
scanf("%d",maze[i][j]);
}
void zidong_maze(int m,int n){
int i,j;
printf("\n迷宫生成中……\n\n");
system("pause");
for(i=0;im;i++)
for(j=0;jn;j++)
maze[i][j]=rand()%2;
//由于rand()产生的随机数是从0到RAND_MAX
//RAND_MAX是定义在stdlib.h中的,其值至少为32767)
//要产生从X到Y的数,只需要这样写:k=rand()%(Y-X+1)+X;
}
void print_maze(int m,int n){
int i,j;
printf("\n迷宫生成结果如下:\n\n");
printf("迷宫入口\n");
printf("↓");
for(i=0;im;i++)
{printf("\n");
for(j=0;jn;j++)
{if(maze[i][j]==0) printf("□");
if(maze[i][j]==1) printf("■");}
}
printf("→迷宫出口\n");
}
void result_maze(int m,int n)
{ int i,j;
printf("迷宫通路(用☆表示)如下所示:\n\t");
for(i=0;im;i++)
{ printf("\n");
for(j=0;jn;j++)
{if(maze[i][j]==0||maze[i][j]==2) printf("□");
if(maze[i][j]==1) printf("■");
if(maze[i][j]==3) printf("☆");
}
}
}
void enqueue(struct point p)
{ queue[tail]=p;
tail++;
}
struct point dequeue()
{ head++;
return queue[head-1];
}
int is_empty()
{ return head==tail;
}
void visit(int row,int col,int maze[52][52])
{ struct point visit_point={row,col,head-1};
maze[row][col]=2;
enqueue(visit_point);
}
int mgpath(int maze[52][52],int m,int n)
{ X=1;
struct point p={0,0,-1};
if(maze[p.row][p.col]==1)
{ printf("\n===============================================\n");
printf("此迷宫无解\n\n");X=0;return 0;}
maze[p.row][p.col]=2;
enqueue(p);
while(!is_empty())
{p=dequeue();
if((p.row==m-1)(p.col==n-1)) break;
if((p.col+1n)(maze[p.row][p.col+1]==0)) visit(p.row,p.col+1,maze);
if((p.row+1m)(maze[p.row+1][p.col]==0)) visit(p.row+1,p.col,maze);
if((p.col-1=0)(maze[p.row][p.col-1]==0)) visit(p.row,p.col-1,maze);
if((p.row-1=0)(maze[p.row-1][p.col]==0)) visit(p.row-1,p.col,maze);
}
if(p.row==m-1p.col==n-1)
{printf("\n==================================================================\n");
printf("迷宫路径为:\n");
printf("(%d,%d)\n",p.row,p.col);
maze[p.row][p.col]=3;
while(p.predecessor!=-1)
{p=queue[p.predecessor];
printf("(%d,%d)\n",p.row,p.col);
maze[p.row][p.col]=3;
}
}
else {printf("\n=============================================================\n");
printf("此迷宫无解!\n\n");X=0;}
return 0;
}
int main()
{int i,m,n,cycle=0;
while(cycle!=(-1))
{
printf("********************************************************************************\n");
printf(" ☆欢迎进入迷宫求解系统☆\n");
printf(" 设计者:尹旭 林静波(信息2班)\n");
printf("********************************************************************************\n");
printf(" 手动生成迷宫 请按:1\n");
printf(" 自动生成迷宫 请按:2\n");
printf(" 退出 请按:3\n\n");
printf("********************************************************************************\n");
printf("\n");
printf("请选择你的操作:\n");
scanf("%d",i);
switch(i)
{case 1:printf("\n请输入行数:");
scanf("%d",m);
printf("\n");
printf("请输入列数:");
scanf("%d",n);
while((m=0||m50)||(n=0||n50))
{ printf("\n抱歉,你输入的行列数超出预设范围(0-50,0-50),请重新输入:\n\n");
printf("请输入行数:");
scanf("%d",m);
printf("\n");
printf("请输入列数:");
scanf("%d",n);
}
shoudong_maze(m,n);
print_maze(m,n);
mgpath(maze,m,n);
if(X!=0)
result_maze(m,n);
printf("\n\nPress Enter Contiue!\n");
getchar();
while(getchar()!='\n');
break;
case 2:printf("\n请输入行数:");
scanf("%d",m);
printf("\n");
printf("请输入列数:");
scanf("%d",n);
while((m=0||m50)||(n=0||n50))
{printf("\n抱歉,你输入的行列数超出预设范围(0-50,0-50),请重新输入:\n\n");
printf("请输入行数:");
scanf("%d",m);
printf("\n");
printf("请输入列数:");
scanf("%d",n);
}
zidong_maze(m,n);
print_maze(m,n);
mgpath(maze,m,n);
if(X!=0)
result_maze(m,n);
printf("\n\nPress Enter Contiue!\n");getchar();while(getchar()!='\n');break;
case 3:cycle=(-1);
break;
default:printf("\n");
printf("你的输入有误!\n");
printf("\nPress Enter Contiue!\n");
getchar();
while(getchar()!='\n');break;
}
}
}