#include #include #include #include #include using namespace std; void matrix_to_num(int r, int c, int len, int dep, int dir, int num); void num_to_matrix(int r, int c, int len, int dep); void get_dir(int num); const int MAXN = 64 + 10; int matrix[MAXN][MAXN]; //用于存储输入输出矩阵 set black; //用于存储黑块数字序列 int n, dirs[MAXN]; //dirs:用于存储一个数字代表的5进制的各位数字 int main() { //freopen("input.txt","r",stdin); //freopen("output.txt","w",stdout); int kase = 0;cin >> n; while (n) { cout << "Image " << ++kase << endl; if (n > 0) //矩阵转数字 { getchar(); black.clear(); for (int i = 0; i < n; i++) { for (int j = 0; j < n; j++) { char ch = getchar(); matrix[i][j] = ch - '0'; } getchar(); } matrix_to_num(0, 0, n, 1, 0, 0); int cnt = 0; for(set::iterator it = black.begin() ; it != black.end();it++) //输出数字,注意格式 { if (cnt % 12 == 0 && cnt) cout << endl; if (cnt % 12 != 0) cout << " "; cout << *it; cnt++; } if (black.size() != 0) cout << endl; cout << "Total number of black nodes = " << black.size()<< endl; } else //数字转矩阵 { n = -n; int num; memset(matrix, 0, sizeof(matrix)); //初始化矩阵 while (cin >> num && num != -1) //将每个数字数字所代表的区域矩阵涂黑 (置1) { get_dir(num); //10进制转5进制 num_to_matrix(0, 0, n,1); } for (int i = 0; i < n; i++) //输出输出矩阵,需要注意格式 { for (int j = 0; j < n; j++) { if (matrix[i][j]==1) cout << "*"; else cout << "."; } cout << endl; } } cin >> n; if(n) cout << endl; //每个输出结束之后有空行,最后一个输出不需要空行 } return 0; } void num_to_matrix(int r, int c, int len,int dep) { if(!dirs[dep]) //此时该子矩阵就是数字所表示的,进行涂黑处理 { for (int i = r; i < r + len; i++) { for (int j = c; j < c + len; j++) { matrix[i][j] = 1; } } } else //对于每一层根据5进制代表的方位选择下一个子矩阵的位置 { switch (dirs[dep]) { case 1:num_to_matrix(r, c, len / 2, dep + 1); break; case 2:num_to_matrix(r, c + len / 2, len / 2, dep + 1); break; case 3:num_to_matrix(r + len / 2, c, len / 2, dep + 1); break; case 4:num_to_matrix(r + len / 2, c + len / 2, len / 2, dep + 1); break; } } } void get_dir(int num) //10进制转5进制,并将5进制的各位存入dirs中 { memset(dirs, 0, sizeof(dirs)); for (int i = 64; i > 0 ; i--) { int x = num / pow(5, i); if (x > 0) { dirs[i + 1] = x; num = num - x * pow(5, i); } } dirs[1] = num; } void matrix_to_num(int r, int c, int len, int dep,int dir,int num) { int new_num = 0; bool hava_white = false, hava_black = false; //是否含有黑块或者白块 for (int i = r; i < r+len; i++) { for (int j = c; j < c+len; j++) { if (matrix[i][j] == 0) hava_white = true; if (matrix[i][j] == 1) hava_black = true; } if (hava_white && hava_black) break; } if (dep > 1) //计算该层所表示的5进制数字 new_num = pow(5, dep - 2)*dir + num; if (hava_white && hava_black) //如果是灰色的(黑白快都有) ,继续对子矩阵进行DFS,直到找到纯色矩阵 { matrix_to_num(r, c, len / 2, dep + 1, 1, new_num); matrix_to_num(r, c + len / 2, len / 2, dep + 1, 2, new_num); matrix_to_num(r + len / 2, c, len / 2, dep + 1, 3, new_num); matrix_to_num(r + len / 2, c + len / 2, len / 2, dep + 1, 4, new_num); } else if (hava_black) black.insert(new_num); return; }