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#include <stdio.h>
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#include <stdbool.h>
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#define SIZE 9
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void geshihua(int arr0[9][9])
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{
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int i,j;
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printf("|");
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for(i=0;i<9;i++)
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{
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for(j=0;j<9;j++)
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{
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printf("%d ",arr0[i][j]);
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if(j==8)
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{
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printf("|\n");
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}
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if(i==8&&j==8)
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break;
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if((i+1)%3==0&&j==8&&i!=8)
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{
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printf("|--------------------|\n");
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}
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if((j+1)%3==0)
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{
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printf("|");
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}
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}
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}
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}
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// 检查行中是否有重复数字
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bool checkRow(int board[SIZE][SIZE], int row, int num) {
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int col;
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for (col = 0; col < SIZE; col++) {
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if (board[row][col] == num && board[row][col] != 0) { // 只检查非零元素
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return false;
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}
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}
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return true;
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}
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// 检查列中是否有重复数字
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bool checkColumn(int board[SIZE][SIZE], int col, int num) {
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int row;
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for (row = 0; row < SIZE; row++) {
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if (board[row][col] == num && board[row][col] != 0) { // 只检查非零元素
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return false;
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}
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}
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return true;
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}
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// 检查3x3子矩阵中是否有重复数字
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bool checkBox(int board[SIZE][SIZE], int rowStart, int colStart, int num) {
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int row,col;
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for (row = 0; row < 3; row++) {
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for (col = 0; col < 3; col++) {
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if (board[row + rowStart][col + colStart] == num && board[row + rowStart][col + colStart] != 0) { // 只检查非零元素
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return false;
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}
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}
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}
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return true;
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}
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// 检查初始数独矩阵是否有效
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bool isValidInitialSudoku(int board[SIZE][SIZE]) {
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int row,col;
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for (row = 0; row < SIZE; row++) {
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for (col = 0; col < SIZE; col++) {
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if (board[row][col] != 0) { // 只检查非零元素
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int num = board[row][col];
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if (!checkRow(board, row, num) || !checkColumn(board, col, num) || !checkBox(board, row - row % 3, col - col % 3, num)) {
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// 输出不满足的原因
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if (!checkRow(board, row, num)) {
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printf("False:Invalid initial Sudoku matrix! The number %d in the row %d has been used!\n", num, row + 1);
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} else if (!checkColumn(board, col, num)) {
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printf("False:Invalid initial Sudoku matrix! The number %d in the column %d has been used!\n", num, col + 1);
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} else {
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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
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}
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return false;
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}
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}
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}
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}
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printf("True:Valid initial Sudoku matrix!\n");
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return true;
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}
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int main() {
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printf("“The original Sudoku matrix:\n");
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int board[SIZE][SIZE] = {
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// 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
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{5, 3, 0, 0, 7, 0, 0, 0, 0},
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{6, 0, 0, 1, 9, 5, 0, 0, 0},
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{0, 9, 8, 0, 0, 0, 0, 6, 0},
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{8, 0, 0, 0, 6, 0, 0, 0, 3},
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{4, 0, 0, 8, 0, 3, 0, 0, 1},
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{7, 0, 0, 0, 2, 0, 0, 0, 6},
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{0, 6, 0, 0, 0, 0, 2, 8, 0},
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{0, 0, 0, 4, 1, 9, 0, 0, 5},
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{0, 0, 0, 0, 8, 0, 0, 7, 9}
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};
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geshihua(board);
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isValidInitialSudoku(board);
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return 0;
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}
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