题意:
4*4的棋盘,给出一个初始局面,问先手有没有必胜策略?
有的话输出第一步下在哪里,如果有多个,按(0, 0), (0, 1), (0, 2), (0, 3), (1, 0), (1, 1) ... 的顺序输出第一个。没有输出“#####”。
分析:
极大极小搜索,对抗搜索,α+β剪枝。
代码:
1 #include<cstdio> 2 3 char g[5][5]; 4 int ansx,ansy; 5 6 int judge() { 7 int za = 0,zb = 0; // 主对角线 8 int fa = 0,fb = 0; // 副对角线 9 for (int i=1; i<=4; ++i) { 10 if (g[i][i] == ‘x‘) za++; 11 else if (g[i][i]==‘o‘) zb++; 12 if (g[i][5-i] == ‘x‘) fa++; 13 else if (g[i][5-i]==‘o‘) fb++; 14 } 15 if (za==4 || fa==4) return 1; 16 if (zb==4 || fb==4) return -1; 17 18 for (int i=1; i<=4; ++i) { 19 int ra = 0,rb = 0; // 行 20 int ca = 0,cb = 0; // 列 21 for (int j=1; j<=4; ++j) { 22 if (g[i][j] == ‘x‘) ra++; 23 else if (g[i][j] == ‘o‘) rb++; 24 if (g[j][i] == ‘x‘) ca++; 25 else if (g[j][i] == ‘o‘) cb++; 26 } 27 if (ra == 4 || ca == 4) return 1; 28 if (rb == 4 || cb == 4) return -1; 29 } 30 31 return 0; 32 } 33 int Minimax(int player,int alpha,int beta) { 34 int res= judge(); 35 if (res) return res; 36 if (player) { 37 for (int i=1; i<=4; ++i) 38 for (int j=1; j<=4; ++j) 39 if (g[i][j] == ‘.‘) { 40 g[i][j] = ‘x‘; 41 res = Minimax(player^1,alpha,beta); 42 g[i][j] = ‘.‘; 43 if (res > alpha) alpha = res,ansx = i,ansy = j; 44 if (alpha >= beta) return alpha; 45 } 46 return alpha; //- 47 } 48 else { 49 for (int i=1; i<=4; ++i) 50 for (int j=1; j<=4; ++j) 51 if (g[i][j] == ‘.‘) { 52 g[i][j] = ‘o‘; 53 res = Minimax(player^1,alpha,beta); 54 g[i][j] = ‘.‘; 55 if (res < beta) beta = res; 56 if (alpha >= beta) return beta; 57 } 58 return beta; //- 59 } 60 } 61 62 int main() { 63 char op[5]; 64 while (scanf("%s",op) && op[0]!=‘$‘) { 65 int cnt = 0; 66 for (int i=1; i<=4; ++i) { 67 scanf("%s",g[i]+1); 68 for (int j=1; j<=4; ++j) 69 if (g[i][j] != ‘.‘) cnt++; 70 } 71 if (cnt <= 4) { 72 puts("#####");continue; 73 } 74 int ans = Minimax(1,-1,1); 75 if (ans > 0) printf("(%d,%d)\n",ansx-1,ansy-1); 76 else puts("#####"); 77 } 78 return 0; 79 }
POJ 1568 Find the Winning Move
原文:https://www.cnblogs.com/mjtcn/p/9240934.html