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            逛奔的蝸牛

            我不聰明,但我會很努力

               ::  :: 新隨筆 ::  ::  :: 管理 ::

            #include <iostream>
            #include <cstdio>
            #include <ctime>
            #include <cmath>

            using namespace std;

            void queen(int** array, int row, FILE* fp);
            bool isAvailable(int** array, int y, int x);
            bool isResult(int** array);

            int main(int arg, char** argv) {
                    int** array;
                    
                    // 分配空間
                    array = new int*[8];
                    for (int i = 0; i < 8; i++) {
                            array[i] = new int[8];
                    }
                    
                    // 初始化皇后狀態
                    for (int i = 0; i < 8; i++) {
                            for (int j = 0; j < 8; j++) {
                                    array[i][j] = 0;
                            }
                    }
                    
                    FILE* fp = fopen("data.txt", "w");
                    queen(array, 0, fp);
                    fclose(fp);
                    
                    // 釋放空間
                    for (int i = 0; i < 8; i++) {
                            delete[] array[i];
                    }
                    delete array;
                    array = NULL;

                    return 0;
            }

            void queen(int** array, int row, FILE* fp) {
                    static int size = 1;
                    if (row > 7) {
                            return;
                    }
                    for (int j = 0; j < 8; j++) {
                            // 如果合法
                            if (isAvailable(array, row, j)) {
                                    array[row][j] = 1;
                                    
                                    // 當前位置合法,賦值后,進入下一行
                                    queen(array, row + 1, fp);

                                    // 如果退回來后是結果,則打印出來
                                    if (isResult(array)) {
                                            // 把結果寫入文件
                                            fputc('\n', fp);
                                            fputs("***********************************", fp);
                                            fprintf(fp, " %d ", size++);
                                            fputs("***********************************", fp);
                                            fputc('\n', fp);
                                            for (int m = 0; m < 8; m++) {
                                                    for (int n = 0; n < 8; n++) {
                                                            if (array[m][n] == 1) {
                                                                    fputc('#', fp);
                                                                    fputc(' ', fp);
                                                                    fputc(' ', fp);
                                                            } else {
                                                                    fputc('O', fp);
                                                                    fputc(' ', fp);
                                                                    fputc(' ', fp);
                                                            }
                                                    }
                                                    fputc('\n', fp); 
                                            }

                                    }
                                    array[row][j] = 0;

                            }
                    }
            }

            bool isAvailable(int** array, int row, int column) { // 第row行,column列
                    int i, j;

                    // 檢查row行
                    for (i = 0; i < 8; i++) {
                            if (array[row][i] != 0) {
                                    return false;
                            }
                    }

                    // 檢columnx列
                    for (j = 0; j < 8; j++) {
                            if (array[j][column] != 0) {
                                    return false;
                            }
                    }

                    // 檢查對角向左上
                    i = row;
                    j = column;
                    while (i >= 0 && j >= 0) {
                            if (array[i][j] != 0) {
                                    return false;
                            }
                            i--;
                            j--;
                    }

                    // 檢查對角向右上
                    i = row;
                    j = column;
                    while (i >= 0 && j < 8) {
                            if (array[i][j] != 0) {
                                    return false;
                            }
                            i--;
                            j++;
                    }

                    // 檢查對角向左下
                    i = row;
                    j = column;
                    while (i < 8 && j >= 0) {
                            if (array[i][j] != 0) {
                                    return false;
                            }
                            i++;
                            j--;
                    }

                    // 檢查對角向右下
                    i = row;
                    j = column;
                    while (i < 8 && j < 8) {
                            if (array[i][j] != 0) {
                                    return false;
                            }
                            i++;
                            j++;
                    }

                    return true;
            }

            bool isResult(int** array) {
                    int size = 0; // 皇后個數

                    // 統計皇后個數
                    for (int i = 0; i < 8; i++) {
                            for (int j = 0; j < 8; j++) {
                                    if (array[i][j] != 0) {
                                            size++;
                                    }
                            }
                    }

                    // 沒有8個皇后,說明不是結果

                   // 有8個皇后,因為每個皇后的放置都是在合法位置, 所以只需要簡單的計算皇后個數就知道是不是結果.
                    if (size != 8) {
                            return false;
                    }

                    return true;
            }

            posted on 2010-12-17 17:51 逛奔的蝸牛 閱讀(405) 評論(0)  編輯 收藏 引用 所屬分類: C/C++
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