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

#define SIZE 9
void geshihua(int arr0[9][9])
{
    int i,j;
    printf("|");
    for(i=0;i<9;i++)
    {
        for(j=0;j<9;j++)
        {
            printf("%d ",arr0[i][j]);
            
            if(j==8)
            {
                printf("|\n");
            }
            if(i==8&&j==8)
            break;
            if((i+1)%3==0&&j==8&&i!=8)
            {
                printf("|--------------------|\n");
            }
            if((j+1)%3==0)
            {
                printf("|");
                
            }
        
        }
    }
}

// 检查行中是否有重复数字
bool checkRow(int board[SIZE][SIZE], int row, int num) {
	int col;
    for (col = 0; col < SIZE; col++) {
        if (board[row][col] == num && board[row][col] != 0) { // 只检查非零元素
            return false;
        }
    }
    return true;
}

// 检查列中是否有重复数字
bool checkColumn(int board[SIZE][SIZE], int col, int num) {
	int row;
    for (row = 0; row < SIZE; row++) {
        if (board[row][col] == num && board[row][col] != 0) { // 只检查非零元素
            return false;
        }
    }
    return true;
}

// 检查3x3子矩阵中是否有重复数字
bool checkBox(int board[SIZE][SIZE], int rowStart, int colStart, int num) {
	int row,col;
    for (row = 0; row < 3; row++) {
        for (col = 0; col < 3; col++) {
            if (board[row + rowStart][col + colStart] == num && board[row + rowStart][col + colStart] != 0) { // 只检查非零元素
                return false;
            }
        }
    }
    return true;
}

// 检查初始数独矩阵是否有效
bool isValidInitialSudoku(int board[SIZE][SIZE]) {
	int row,col;
    for (row = 0; row < SIZE; row++) {
        for (col = 0; col < SIZE; col++) {
            if (board[row][col] != 0) { // 只检查非零元素
                int num = board[row][col];
                if (!checkRow(board, row, num) || !checkColumn(board, col, num) || !checkBox(board, row - row % 3, col - col % 3, num)) {
                    // 输出不满足的原因
                    if (!checkRow(board, row, num)) {
                        printf("False:Invalid initial Sudoku matrix! The number %d in the row %d has been used!\n", num, row + 1);
                    } else if (!checkColumn(board, col, num)) {
                        printf("False:Invalid initial Sudoku matrix! The number %d in the column %d has been used!\n", num, col + 1);
                    } else {
                        printf("False:Invalid initial Sudoku matrix! The number %d in the block %d has been used!\n", num, (row / 3) * 3 + 1); // 简化输出，只表示是哪个3x3块，不精确到列
                    }
                    return false;
                }
            }
        }
    }
    printf("True:Valid initial Sudoku matrix!\n");
    return true;
}

int main() {
    printf("“The original Sudoku matrix:\n");
    int board[SIZE][SIZE] = {
        // 这里填入你的残缺矩阵，0表示空缺部分，非零数字表示已给出的数字
        {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}
    };
    geshihua(board);

    isValidInitialSudoku(board);

    return 0;
}