foj Problem 2283 Tic-Tac-Toe

                                                                                                Problem 2283 Tic-Tac-Toe

Accept: 60    Submit: 92
Time Limit: 1000 mSec    Memory Limit : 262144 KB

Problem Description

Kim likes to play Tic-Tac-Toe.

Given a current state, and now Kim is going to take his next move. Please tell Kim if he can win the game in next 2 moves if both player are clever enough.

Here “next 2 moves” means Kim’s 2 move. (Kim move,opponent move, Kim move, stop).

Game rules:

Tic-tac-toe (also known as noughts and crosses or Xs and Os) is a paper-and-pencil game for two players, X and O, who take turns marking the spaces in a 3×3 grid. The player who succeeds in placing three of their marks in a horizontal, vertical, or diagonal row wins the game.

 Input

First line contains an integer T (1 ≤ T ≤ 10), represents there are T test cases.

For each test case: Each test case contains three lines, each line three string(“o” or “x” or “.”)(All lower case letters.)

x means here is a x

o means here is a o

. means here is a blank place.

Next line a string (“o” or “x”) means Kim is (“o” or “x”) and he is going to take his next move.

Output

For each test case:

If Kim can win in 2 steps, output “Kim win!”

Otherwise output “Cannot win!”

Sample Input

3 . . . . . . . . . o o x o o . x x x o x o x . . o . . . x o

Sample Output

Cannot win! Kim win! Kim win! 

 

题意：kim两手棋之内能否胜利。

思路：直接暴力搜索即可：

讨论这两手棋，穷搜每一个还未下任何棋的点，若下第一手棋就能形成三子一线，就直接赢了，否则，判断第二手棋能否赢。

这时换个想法，因为两方都足够聪明，如果kim下的第二手棋有不止一种赢的下法，那么kim一定能赢，因为对手再厉害也只能挡住一种能赢的下法而已(可以忽略对手的下的那手棋，直接讨论kim赢的可能数即可)

AC代码：

#define _CRT_SECURE_NO_DEPRECATE
#include<iostream>
#include<algorithm>
#include<queue>
#include<set>
#include<vector>
#include<cstring>
#include<string>
#include<bitset>
using namespace std;
#define INF 0x3f3f3f3f
const int N_MAX = 3;
char field[N_MAX][N_MAX];
char p;
bool judge() {
    bool flag = 1;
    if (field[0][0] == p && field[1][1] == p && field[2][2] == p)return true;
    if (field[2][0] == p && field[1][1] == p && field[0][2] == p)return true;
    for (int i = 0; i < N_MAX;i++) {
        for (int j = 0; j < N_MAX;j++) {
            if (field[i][j] != p) { flag = 0; break; }
        }
        if (flag)return true;
        else flag = 1;
    }

    for (int i = 0; i < N_MAX; i++) {
        for (int j = 0; j < N_MAX; j++) {
            if (field[j][i] != p) { flag = 0; break; }
        }
        if (flag)return true;
        else flag = 1;
    }
    return false;
}


int main() {
    int t;
    scanf("%d",&t);
    while(t--){
        bool flag1 = 0,flag2=0;
        for (int i = 0; i < N_MAX;i++) {
            for (int j = 0; j < N_MAX;j++) {
                scanf(" %c",&field[i][j]);
            }
        }
        scanf(" %c",&p);
        for (int i = 0; i < N_MAX; i++) {
            for (int j = 0; j < N_MAX;j++) {
              if(field[i][j]=='.'){
                  field[i][j] = p;
                  if (judge()) { flag1 = 1; break; }//直接下一步就搞定了
                  int num = 0;
                  for (int k = 0; k < N_MAX;k++) {//否则下两步，看看能否赢
                      for (int l = 0; l < N_MAX;l++) {
                          if (field[k][l] == '.') {
                              field[k][l] = p;
                              if (judge())num++;//找到一种可行的赢法，赢的可能数加1
                              if (num >= 2) { flag2 = 1; break; }
                              field[k][l] = '.';
                          }
                      }
                      if (flag2)break;
                  }                                                       
                  field[i][j] = '.';
                  if (flag2)break;
              }
            }
            if (flag1||flag2)break;
        }
        if (flag1 || flag2)printf("Kim win!
");
        else printf("Cannot win!
");
    }
    return 0;
}