diff --git a/program4.c b/program4.c new file mode 100644 index 0000000..0969562 --- /dev/null +++ b/program4.c @@ -0,0 +1,182 @@ +//#include +//#include +//#include +//#include +// +//void printMatrix(int matrix[9][9]) { +// for (int i = 0; i < 9; i++) { +// if (i == 0 || i == 3 || i == 6) { +// printf("|-----------------------|\n"); +// } +// for (int j = 0; j < 9; j++) { +// if (j == 0 || j == 3 || j == 6) { +// printf("| "); +// } +// if (matrix[i][j] == 0) { +// printf(". "); +// } +// else { +// printf("%d ", matrix[i][j]); +// } +// printf("|\n"); +// } +// printf("|-----------------------|\n"); +// } +//} +// +// +//bool usedInRow(int matrix[9][9], int row, int num) { +// for (int col = 0; col < 9; col++) { +// if (matrix[row][col] == num) { +// return true; +// } +// } +// return false; +//} +//bool usedInCol(int matrix[9][9], int col, int num) { +// for (int row = 0; row < 9; row++) { +// if (matrix[row][col] == num) { +// return true; +// } +// } +// return false; +//} +// +//bool usedInBox(int matrix[9][9], int boxStartRow, int boxStartCol, int num) { +// for (int row = 0; row < 3; row++) { +// for (int col = 0; col < 3; col++) { +// if (matrix[row + boxStartRow][col + boxStartCol] == num) { +// return true; +// } +// } +// } +// return false; +//}bool isSafe(int matrix[9][9], int row, int col, int num) { +// return!usedInRow(matrix, row, num) &&!usedInCol(matrix, col, num) &&!usedInBox(matrix, row - row % 3, col - col % 3, num); +//} +//bool findEmptyLocation(int matrix[9][9], int *row, int *col) { +// for (*row = 0; *row < 9; (*row)++) { +// for (*col = 0; *col < 9; (*col)++) { +// if (matrix[*row][*col] == 0) { +// return true; +// } +// } +// } +// return false; +//} +// +//bool solveSudoku(int matrix[9][9]) { +// int row, col; +// if (!findEmptyLocation(matrix, &row, &col)) { +// return true; // 数独已解决 +// } +// for (int num = 1; num <= 9; num++) { +// if (isSafe(matrix, row, col, num)) { +// matrix[row][col] = num; +// if (solveSudoku(matrix)) { +// return true; +// } +// matrix[row][col] = 0; // 回溯 +// } +// } +// return false; +//} +// +//bool checkRows(int matrix[9][9]) { +// for (int i = 0; i < 9; i++) { +// int count[9] = {0}; +// for (int j = 0; j < 9; j++) { +// if (matrix[i][j] > 0 && matrix[i][j] <= 9) { +// int num = matrix[i][j] - 1; +// if (count[num] > 0) { +// return false; +// } +// count[num]++; +// } +// } +// } +// return true; +//} +// +//bool checkColumns(int matrix[9][9]) { +// for (int j = 0; j < 9; j++) { +// int count[9] = {0}; +// for (int i = 0; i < 9; i++) { +// if (matrix[i][j] > 0 && matrix[i][j] <= 9) { +// int num = matrix[i][j] - 1; +// if (count[num] > 0) { +// return false; +// } +// count[num]++; +// } +// } +// } +// return true; +//} +// +//bool checkSubMatrices(int matrix[9][9]) { +// for (int row = 0; row < 9; row += 3) { +// for (int col = 0; col < 9; col += 3) { +// int count[9] = {0}; +// for (int i = row; i < row + 3; i++) { +// for (int j = col; j < col + 3; j++) { +// if (matrix[i][j] > 0 && matrix[i][j] <= 9) { +// int num = matrix[i][j] - 1; +// if (count[num] > 0) { +// return false; +// } +// count[num]++; +// } +// } +// } +// } +// } +// return true; +//} +// +//bool isSudokuMatrix(int matrix[9][9]) { +// return checkRows(matrix) && checkColumns(matrix) && checkSubMatrices(matrix); +//} +// +//int main() { +// printf("The original Sudoku matrix: \n"); +// int matrix[9][9] = { +// {5, 3, 0, 0, 7, 0, 0, 0, 0}, +// {6, 0, 0, 1, 9, 5, 0, 0, 0}, +// {0, 9, 8, 0, 0, 0, 0, 6, 0}, +// {8, 0, 0, 0, 6, 0, 0, 0, 3}, +// {4, 0, 0, 8, 0, 3, 0, 0, 1}, +// {7, 0, 0, 0, 2, 0, 0, 0, 6}, +// {0, 6, 0, 0, 0, 0, 2, 8, 0}, +// {0, 0, 0, 4, 1, 9, 0, 0, 5}, +// {0, 0, 0, 0, 8, 0, 0, 7, 9} +// }; +// printMatrix(matrix); +// bool valid = isSudokuMatrix(matrix); +// if (valid) { +// printf("True:Valid initial Sudoku matrix!\n"); +// if (solveSudoku(matrix)) { +// printf("The solution of Sudoku matrix:\n"); +// printMatrix(matrix); +// } else { +// printf("No solution!\n"); +// } +// } else { +// printf("False:Invalid initial Sudoku matrix!\n"); +// for (int j = 0; j < 9; j++) { +// int count[9] = {0}; +// for (int i = 0; i < 9; i++) { +// if (matrix[i][j] > 0 && matrix[i][j] <= 9) { +// int num = matrix[i][j] - 1; +// if (count[num] > 0) { +// printf("The number %d in the col %d has been used!\n", matrix[i][j], j); +// break; +// } +// count[num]++; +// } +// } +// } +// printf("No solution!\n"); +// } +// return 0; +//}