井字棋(人机对战版)

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游戏介绍

井字棋,英文名叫Tic-Tac-Toe,是一种在3*3格子上进行的连珠游戏,和五子棋类似。然后由分别代表O和X的两个游戏者轮流在格子里留下标记(一般来说先手者为X),任意三个标记形成一条直线(包括行、列、对角线、反对角线),则为获胜。

解决策略

重点在于电脑方如何下棋,我们采取估计棋局每个位置的权重,首先要对棋局进行分类。

---3个为空,重要性最低,权值设置为1    //视为暂时不管

---2个空1个对方,重要性次低,权值为10    //一下三个区别不大,可比较随意的设置

----1个空格1个对方1个己方,重要行较低,权值50 

----2个空格1个己方,重要性较高,权值为100

---1个空格2个对方,重要性次高,权值500  //不堵住会输

---1个空格2个己方,重要性最高,权值1000    //可以直接赢

注意几点:

1、权值之间的间距可以设大一点

2、对每个空位置,权值等于行权值+列权值+对角线权值+反对角线权值,这4中权值都可以用上面的估算,但不做改进会出bug

考虑如下情况:

(1,3)-->(3,1)-->(1,1)-->(2,1)电脑就输了

技术分享图片---->技术分享图片--->技术分享图片-->技术分享图片-->人获胜

关键在于第二步,应该选择一个非角的位置,原因在于此时右上角位置的权值大于中上位置,分析权值的来源

右上角时,10+10+100(对角线己方),而中上时,10+100(行己方),所以同样是2空1己方时,己方位于行或列的权重应大于己方位于对角线

所以按行或列计算时,2空1己方的权值可改为200

代码实现

  1 #include<stdio.h>
  2 #include<Windows.h>
  3 
  4 const int ROW = 3;
  5 const int COL = 3;
  6 int chessboard[ROW][COL];
  7 int score[ROW][COL];
  8 
  9 void Initmap();
 10 void Showmap();        //打印棋局
 11 bool isWin();        //判断是否有一方获胜
 12 bool isFull();        //判断棋盘是否为满
 13 void PcPlay();        //电脑下棋
 14 void HumanPlay();    //人下棋
 15 
 16 int main()
 17 {
 18     Initmap();
 19     Showmap();
 20     while ((!isFull()) && (!isWin()))
 21     {
 22         HumanPlay();
 23         system("cls");
 24         Showmap();
 25         if (isWin())
 26             break;
 27 
 28         Sleep(500);    //模拟实际过程,让电脑慢点,hh
 29         PcPlay();
 30         system("cls");
 31         Showmap();
 32     }
 33 
 34     if (isFull())
 35         printf("

平局
");
 36 
 37     system("pause");
 38     return 0;
 39 }
 40 
 41 void Initmap()
 42 {
 43     for (int i = 0; i < ROW; i++)
 44         for (int j = 0; j < COL; j++)
 45             chessboard[i][j] = 1;
 46 }
 47 
 48 void Showmap()
 49 {
 50     for (int i = 0; i < ROW; i++)
 51     {
 52         for (int j = 0; j < COL; j++)
 53         {
 54             if (chessboard[i][j] == 1)    //"1"代表空
 55                 printf("");
 56             if (chessboard[i][j] == 2)    //"2"代表人
 57                 printf("");
 58             if (chessboard[i][j] == 5)    //"5"代表电脑
 59                 printf("");
 60         }
 61         printf("
");
 62     }
 63 }
 64 
 65 bool isWin()
 66 {
 67     int sum = 0;
 68     for (int i = 0; i < ROW; i++)      //对每行判断是否获胜
 69     {
 70         for (int j = 0; j < COL; j++)
 71             sum += chessboard[i][j];
 72 
 73         if (sum == 6)
 74         {
 75             printf("人获胜!
");
 76             return true;
 77         }
 78         if (sum == 15)
 79         {
 80             printf("电脑获胜!
");
 81             return true;
 82         }
 83         sum = 0;
 84     }
 85 
 86     for (int j = 0; j < ROW; j++)      //对每列判断是否获胜
 87     {
 88         for (int i = 0; i < COL; i++)
 89             sum += chessboard[i][j];
 90 
 91         if (sum == 6)
 92         {
 93             printf("人获胜!
");
 94             return true;
 95         }
 96         if (sum == 15)
 97         {
 98             printf("电脑获胜!
");
 99             return true;
100         }
101         sum = 0;
102     }
103 
104     for (int i = 0; i < ROW; i++)     //对对角线判断是否获胜
105         sum += chessboard[i][i];
106     if (sum == 6)
107     {
108         printf("人获胜!
");
109         return true;
110     }
111     if (sum == 15)
112     {
113         printf("电脑获胜!
");
114         return true;
115     }
116 
117     sum = 0;
118     for (int i = 0; i < ROW; i++)     //对反对角线判断是否获胜
119         sum += chessboard[i][2 - i];
120     if (sum == 6)
121     {
122         printf("人获胜!
");
123         return true;
124     }
125     if (sum == 15)
126     {
127         printf("电脑获胜!
");
128         return true;
129     }
130 
131     return false;
132 }
133 
134 bool isFull()
135 {
136     for (int i = 0; i < ROW; i++)
137         for (int j = 0; j < COL; j++)
138             if (chessboard[i][j] == 1)
139                 return false;
140     return true;
141 }
142 
143 void HumanPlay()
144 {
145     int x, y;
146     printf("请输入棋子的横坐标X:");
147     scanf_s("%d", &x);
148     printf("请输入棋子的纵坐标Y:");
149     scanf_s("%d", &y);
150 
151     while (x < 1 || x>3 || y < 1 || y>3)
152     {
153         printf("
请正确输入!
");
154         printf("x,y均属于1~3

");
155 
156         printf("请输入棋子的横坐标X:");
157         scanf_s("%d", &x);
158         printf("请输入棋子的纵坐标Y:");
159         scanf_s("%d", &y);
160     }
161 
162     while (chessboard[3 - y][x - 1] != 1)
163     {
164         printf("

该位置已被占用!
");
165         printf("请选择正确的位置

");
166         Sleep(1000);
167 
168         printf("
请输入棋子的横坐标X:");
169         scanf_s("%d", &x);
170         printf("请输入棋子的纵坐标Y:");
171         scanf_s("%d", &y);
172     }
173 
174     chessboard[3 - y][x - 1] = 2;
175 }
176 
177 void PcPlay()
178 {
179     int sum = 0;
180     for (int i = 0; i < ROW; i++)
181         for (int j = 0; j < COL; j++)
182             score[i][j] = 0;
183 
184     // 对每行进行分数统计
185     for (int i = 0; i < ROW; i++)
186     {
187         for (int j = 0; j < COL; j++)
188             sum += chessboard[i][j];
189 
190         switch (sum)
191         {
192         case 3:                     //1+1+1;重要性:最低;权重:1
193             for (int k = 0; k < COL; k++)
194             {
195                 if (chessboard[i][k] == 1)
196                     score[i][k] += 1;
197             }
198             break;
199         case 4:                     //1+1+2;重要性:次低;权重:10
200             for (int k = 0; k < COL; k++)
201             {
202                 if (chessboard[i][k] == 1)
203                     score[i][k] += 10;
204             }
205             break;
206         case 8:                    //1+2+5;重要性:较低,权值50
207             for (int k = 0; k < COL; k++)
208             {
209                 if (chessboard[i][k] == 1)
210                     score[i][k] += 50;
211             }
212             break;
213         case 7:                     //1+1+5;重要性:较高;权重:200
214             for (int k = 0; k < COL; k++)
215             {
216                 if (chessboard[i][k] == 1)
217                     score[i][k] += 200;     //把行列的重要性比对角线高
218             }
219             break;
220         case 5:                     //1+2+2;重要性:次高;权重:500
221             for (int k = 0; k < COL; k++)
222             {
223                 if (chessboard[i][k] == 1)
224                     score[i][k] += 500;
225             }
226             break;
227         case 11:                     //1+5+5;重要性:最高;权重:1000
228             for (int k = 0; k < COL; k++)
229             {
230                 if (chessboard[i][k] == 1)
231                     score[i][k] += 1000;
232             }
233             break;
234         }
235         sum = 0;
236     }
237 
238     // 对每列进行分数统计
239     for (int j = 0; j < COL; j++)
240     {
241         for (int i = 0; i < ROW; i++)
242             sum += chessboard[i][j];
243 
244         switch (sum)
245         {
246         case 3:                   
247             for (int k = 0; k < COL; k++)
248             {
249                 if (chessboard[k][j] == 1)
250                     score[k][j] += 1;
251             }
252             break;
253         case 4:                    
254             for (int k = 0; k < COL; k++)
255             {
256                 if (chessboard[k][j] == 1)
257                     score[k][j] += 10;
258             }
259             break;
260         case 8:                    
261             for (int k = 0; k <
262                 COL; k++)
263             {
264                 if (chessboard[k][j] == 1)
265                     score[k][j] += 50;
266             }
267             break;
268         case 7:                    
269             for (int k = 0; k < COL; k++)
270             {
271                 if (chessboard[k][j] == 1)     //1+1+5;重要性:较高;权重:200
272                     score[k][j] += 200;  
273             }
274             break;
275         case 5:                    
276             for (int k = 0; k < COL; k++)
277             {
278                 if (chessboard[k][j] == 1)
279                     score[k][j] += 500;
280             }
281             break;
282         case 11:                  
283             for (int k = 0; k < COL; k++)
284             {
285                 if (chessboard[k][j] == 1)
286                     score[k][j] += 1000;
287             }
288             break;
289         }
290         sum = 0;
291     }
292 
293     // 对对角线进行分数统计
294     for (int i = 0; i < ROW; i++)
295         sum += chessboard[i][i];
296     switch (sum)
297     {
298     case 3:                    
299         for (int i = 0; i < COL; i++)
300         {
301             if (chessboard[i][i] == 1)
302                 score[i][i] += 1;
303         }
304         break;
305     case 4:                   
306         for (int i = 0; i < COL; i++)
307         {
308             if (chessboard[i][i] == 1)
309                 score[i][i] += 10;
310         }
311         break;
312     case 8:                
313         for (int i = 0; i < COL; i++)
314         {
315             if (chessboard[i][i] == 1)
316                 score[i][i] += 50;
317         }
318         break;
319     case 7:                     //1+1+5;权重:100
320         for (int i = 0; i < COL; i++)
321         {
322             if (chessboard[i][i] == 1)
323                 score[i][i] += 100;
324         }
325         break;
326     case 5:                
327         for (int i = 0; i < COL; i++)
328         {
329             if (chessboard[i][i] == 1)
330                 score[i][i] += 500;
331         }
332         break;
333     case 11:                    
334         for (int i = 0; i < COL; i++)
335         {
336             if (chessboard[i][i] == 1)
337                 score[i][i] += 1000;
338         }
339         break;
340     }
341 
342     // 对反对角线进行分数统计
343     sum = 0;
344     for (int i = 0; i < ROW; i++)
345         sum += chessboard[i][2 - i];
346     switch (sum)
347     {
348     case 3:                    
349         for (int i = 0; i < COL; i++)
350         {
351             if (chessboard[i][2 - i] == 1)
352                 score[i][2 - i] += 1;
353         }
354         break;
355     case 4:                    
356         for (int i = 0; i < COL; i++)
357         {
358             if (chessboard[i][2 - i] == 1)
359                 score[i][2 - i] += 10;
360         }
361         break;
362     case 8:
363         for (int i = 0; i < COL; i++)
364         {
365             if (chessboard[i][2 - i] == 1)
366                 score[i][2 - i] += 50;
367         }
368         break;
369     case 7:                     
370         for (int i = 0; i < COL; i++)
371         {
372             if (chessboard[i][2 - i] == 1)    //1+1+5;权重:100
373                 score[i][2 - i] += 100;
374         }
375         break;
376     case 5:                   
377         for (int i = 0; i < COL; i++)
378         {
379             if (chessboard[i][2 - i] == 1)
380                 score[i][2 - i] += 500;
381         }
382         break;
383     case 11:                    
384         for (int i = 0; i < COL; i++)
385         {
386             if (chessboard[i][2 - i] == 1)
387                 score[i][2 - i] += 1000;
388         }
389         break;
390     }
391 
392     int maxRow = 0, maxCol = 0;
393     for (int i = 0; i < ROW; i++)
394         for (int j = 0; j < COL; j++)
395         {
396             if (score[i][j] > score[maxRow][maxCol])
397             {
398                 maxRow = i;
399                 maxCol = j;
400             }
401         }
402     chessboard[maxRow][maxCol] = 5;
403 }

 

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