之前關八皇后的問題全部使用的是一維數組進行實現(http://www.cnblogs.com/SeaSky0606/p/4604955.html),現改一種數據存儲方式,按照8x8的二維棋盤存儲皇后。基本邏輯不變,可參見如下代碼:
#include<cstdio>
#include<algorithm>
#include<cstring>
#include<string>
#include<cmath>
#define N 8
int q[N][N],cnt=0;void dfs(int x);
void placeon(int x,int y);
void takeout(int x,int y);
int canplace(int x,int y);
void ps();int main(){dfs(0);printf("There are %d schema(s) in total!",cnt);return 0;
}
void dfs(int x){if(x==N){cnt++;ps();}else{for(int i=0;i<N;i++) if(canplace(x,i)){placeon(x,i);dfs(x+1);takeout(x,i);}}
}
void placeon(int x,int y){q[x][y]=1;
}
void takeout(int x,int y){q[x][y]=0;
}//key
int canplace(int x,int y){for(int i=1;i<=x;i++){if((y+i<N &&(q[x-i][y+i]==1)) ||(y-i>=0 && (q[x-i][y-i]==1)) || q[x-i][y]==1){return 0;}}return 1;
}
void ps(){for(int i=0;i<N;i++){for(int j=0;j<N;j++){if(q[i][j]==1)printf("A");elseprintf(".");}printf("\n");}printf("\n");
}