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八皇后问题 递归求解法

發布時間:2025/3/8 编程问答 33 豆豆
生活随笔 收集整理的這篇文章主要介紹了 八皇后问题 递归求解法 小編覺得挺不錯的,現在分享給大家,幫大家做個參考.
#include <iostream> #include <fstream> #include <string.h>/** 八皇后問題遞歸方法實現 */ using namespace std;ofstream file;//用以計數計算結果的數目 int count = 1; /** 打印的棋盤其中打印1的位置是皇后的位置,0空位。 這里因為在控制臺看不到全部,所有做了在文件中輸出所有的解 */ int print_Chessboard(int chessboard[][8]) {file.open("data.txt",ofstream::app|ofstream::out);file<<"答案:"<<count<<endl;cout<<"答案:"<<count<<endl;count++;for(int row = 0; row < 8;row++){for(int column = 0;column<8;column++){file<<chessboard[row][column]<<" ";cout<<chessboard[row][column]<<" ";}file<<endl;cout<<endl;}file<<endl<<endl;cout<<endl<<endl;file.close(); } /** 參數一將棋盤信息傳入函數, 參數二將要放入的皇后的行數傳入 參數三將要放入的皇后的列數傳入 若皇后放入成功則返回1,若失敗則返回0 */ int check_Chessboard(int chessboard[][8],int row,int column) {//1、首先檢查行數和列數是否已經超出棋盤的局限,若超出了//說明前邊已經都符合位置,此時返回成功系數1if(row>=8){//打印結果 print_Chessboard(chessboard);return 1;}//2、檢查在這一列上是否有皇后,正上方for(int i = 0; i < row;i++){if(chessboard[i][column]==1)return 0;}//3、檢查在左上和右上斜對角上是否有皇后//左上45度for(int i=row-1,j=column-1;i>=0&&j>=0;i--,j--){if(chessboard[i][j]==1)return 0;}//右上45度for(int i=row-1,j=column+1;i>=0&&j<8;i--,j++){if(chessboard[i][j]==1)return 0;}//到這里說明擺放成功//擺放成功后把這個位置標記為1chessboard[row][column]=1;//循環的檢查下一行的沒一個位置for(int i = 0; i < 8; i++){if(check_Chessboard(chessboard,row+1,i)==0)continue;else break;}//若沒有擺放成功就返回0;此時需要把該位置重新置為0chessboard[row][column]=0;return 0; } //主調函數 int main() {int chessboard[8][8];for(int i = 0; i < 8; i++){memset(chessboard,0,sizeof(chessboard));check_Chessboard(chessboard,0,i);}return 0; }

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以下是運行結果,答案共有92中擺放方法

View Code 答案:1 1 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 0 0 0 0 0 0 0 0 0 1 0 0 0 0 答案:2 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 0 0 0 答案:3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 1 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 1 0 0 0 0 0 答案:4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 0 1 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 0 0 0 0 0 答案:5 0 1 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 0 1 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 1 0 0 0 答案:6 0 1 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 1 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 1 0 0 0 0 0 1 0 0 0 0 答案:7 0 1 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 1 0 0 0 0 1 0 0 0 0 0 答案:8 0 1 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 0 0 0 0 0 0 0 0 0 0 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總結

以上是生活随笔為你收集整理的八皇后问题 递归求解法的全部內容,希望文章能夠幫你解決所遇到的問題。

如果覺得生活随笔網站內容還不錯,歡迎將生活随笔推薦給好友。