ShuDuJvZhen1.0/jvzhen(4).c

#include <stdio.h>  
#include <stdbool.h>  

#define SIZE 9  

void print_sudoku(int matrix[SIZE][SIZE]) {
    for (int i = 0; i < SIZE; i++) {
        for (int j = 0; j < SIZE; j++) {
            printf("%d ", matrix[i][j]);
            if ((j + 1) % 3 == 0 && j != 8) {
                printf("| ");
            }
        }
        printf("\n");
        if ((i + 1) % 3 == 0 && i != 8) {
            printf("------+-------+------\n");
        }
    }
}

bool is_valid_sudoku(int matrix[SIZE][SIZE]) {
    // 检查行、列和 3x3 小块  
    for (int i = 0; i < SIZE; i++) {
        bool row_check[SIZE + 1] = { false }; // 用于检查行中 1-9 的出现情况  
        bool col_check[SIZE + 1] = { false }; // 用于检查列中 1-9 的出现情况  
        for (int j = 0; j < SIZE; j++) {
            // 检查行  
            if (matrix[i][j] != 0) {
                if (row_check[matrix[i][j]]) {
                    printf("False:Invalid initial Sudoku matrix!\n");
                    printf("The number %d in the row %d has been used!\n", matrix[i][j], i + 1);
                    return false;
                }
                row_check[matrix[i][j]] = true;
            }

            // 检查列  
            if (matrix[j][i] != 0) {
                if (col_check[matrix[j][i]]) {
                    printf("False:Invalid initial Sudoku matrix!\n");
                    printf("The number %d in the col %d has been used!\n", matrix[j][i], i + 1);
                    return false;
                }
                col_check[matrix[j][i]] = true;
            }
        }
    }

    // 检查 3x3 小块  
    for (int start_row = 0; start_row < SIZE; start_row += 3) {
        for (int start_col = 0; start_col < SIZE; start_col += 3) {
            bool block_check[SIZE + 1] = { false }; // 用于检查 3x3 小块  
            for (int i = start_row; i < start_row + 3; i++) {
                for (int j = start_col; j < start_col + 3; j++) {
                    if (matrix[i][j] != 0) {
                        if (block_check[matrix[i][j]]) {
                            printf("False:Invalid initial Sudoku matrix!\n");
                            printf("The number %d in the block %d has been used!\n", matrix[i][j], (start_row / 3) * 3 + (start_col / 3) + 1);
                            return false;
                        }
                        block_check[matrix[i][j]] = true;
                    }
                }
            }
        }
    }

    return true;
}

bool is_safe(int matrix[SIZE][SIZE], int row, int col, int num) {
    for (int x = 0; x < SIZE; x++) {
        if (matrix[row][x] == num || matrix[x][col] == num) {
            return false;
        }
    }

    int startRow = row - row % 3, startCol = col - col % 3;
    for (int i = 0; i < 3; i++) {
        for (int j = 0; j < 3; j++) {
            if (matrix[i + startRow][j + startCol] == num) {
                return false;
            }
        }
    }
    return true;
}

bool solve_sudoku(int matrix[SIZE][SIZE]) {
    for (int row = 0; row < SIZE; row++) {
        for (int col = 0; col < SIZE; col++) {
            if (matrix[row][col] == 0) {
                for (int num = 1; num <= 9; num++) {
                    if (is_safe(matrix, row, col, num)) {
                        matrix[row][col] = num;
                        if (solve_sudoku(matrix)) {
                            return true;
                        }
                        matrix[row][col] = 0; // 撤销选择  
                    }
                }
                return false; // 如果没有数字能够放入，返回 false  
            }
        }
    }
    return true; // 成功解决数独  
}

int main() {
    int sudoku_matrix[SIZE][SIZE] = {
        {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}
    };

    printf("The original Sudoku matrix:\n");
    print_sudoku(sudoku_matrix);

    if (is_valid_sudoku(sudoku_matrix)) {
        printf("True:Valid initial Sudoku matrix!\n");
        if (solve_sudoku(sudoku_matrix)) {
            printf("The solution of Sudoku matrix:\n");
            print_sudoku(sudoku_matrix);
        }
        else {
            printf("No solution!\n");
        }
    }
    else {
        printf("No solution!\n");
    }

    return 0;
}