001/T3.cpp

#include <stdio.h>

// 定义矩阵的大小
#define N 9

// 检查行是否满足数独条件
int isRowValid(int matrix[N][N], int row) {
    int used[N + 1] = {0}; // 用于记录数字的使用情况

    for (int i = 0; i < N; i++) {
        int num = matrix[row][i];

        if (num != 0) {
            if (used[num] == 1) {
                printf("False: Invalid initial Sudoku matrix! The number %d in row %d has been used!\n", num, row + 1);
                return 0;
            }
            used[num] = 1;
        }
    }

    return 1;
}

// 检查列是否满足数独条件
int isColValid(int matrix[N][N], int col) {
    int used[N + 1] = {0}; // 用于记录数字的使用情况

    for (int i = 0; i < N; i++) {
        int num = matrix[i][col];

        if (num != 0) {
            if (used[num] == 1) {
                printf("False: Invalid initial Sudoku matrix! The number %d in column %d has been used!\n", num, col + 1);
                return 0;
            }
            used[num] = 1;
        }
    }

    return 1;
}

// 检查一个3x3的小矩阵是否满足数独条件
int isBlockValid(int matrix[N][N], int startRow, int startCol) {
    int used[N + 1] = {0}; // 用于记录数字的使用情况

    for (int i = startRow; i < startRow + 3; i++) {
        for (int j = startCol; j < startCol + 3; j++) {
            int num = matrix[i][j];

            if (num != 0) {
                if (used[num] == 1) {
                    printf("False: Invalid initial Sudoku matrix! The number %d in block %d has been used!\n", num, (startRow / 3) * 3 + startCol / 3 + 1);
                    return 0;
                }
                used[num] = 1;
            }
        }
    }

    return 1;
}

// 主函数
int main() {
    int sudoku[N][N] = {{8, 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}
        // 在这里填入你的数独矩阵
    };

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

    // 输出数独矩阵
    for (int i = 0; i < N; i++) {
        for (int j = 0; j < N; j++) {
            printf("%d ", sudoku[i][j]);
        }
        printf("\n");
    }

    int isValid = 1;

    // 检查每一行
    for (int i = 0; i < N; i++) {
        if (!isRowValid(sudoku, i)) {
            isValid = 0;
            break;
        }
    }

    // 检查每一列
    if (isValid) {
        for (int i = 0; i < N; i++) {
            if (!isColValid(sudoku, i)) {
                isValid = 0;
                break;
            }
        }
    }

    // 检查每个3x3小矩阵
    if (isValid) {
        for (int i = 0; i < N; i += 3) {
            for (int j = 0; j < N; j += 3) {
                if (!isBlockValid(sudoku, i, j)) {
                    isValid = 0;
                    break;
                }
            }
        }
    }

    if (isValid) {
        printf("True: Valid initial Sudoku matrix!\n");
    }

    return 0;
}