You can not select more than 25 topics
Topics must start with a letter or number, can include dashes ('-') and can be up to 35 characters long.
179 lines
4.6 KiB
179 lines
4.6 KiB
#include <stdio.h>
|
|
|
|
|
|
int board0[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}};
|
|
|
|
int board1[9][9] = {{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}};
|
|
|
|
int board2[9][9] = {{5, 2, 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}};
|
|
int err_group=0,err_num=0;
|
|
|
|
int check_submatrix(int * ptr){
|
|
int bottle[10]={0};
|
|
int * cur_ptr=ptr;
|
|
for(int i=0;i<3;i++){
|
|
for(int j=0;j<3;j++){
|
|
bottle[*(cur_ptr+j)]++;
|
|
//printf("%d ",*(cur_ptr+j));
|
|
}
|
|
//printf("\n");
|
|
cur_ptr+=9;
|
|
}
|
|
for(int i=1;i<=9;i++){
|
|
//printf("%d",bottle[i]);
|
|
if(bottle[i]>1){
|
|
err_num = i;
|
|
return 0;
|
|
}
|
|
}
|
|
return 1;
|
|
}
|
|
|
|
int check_col(int * ptr){
|
|
int bottle[10]={0};
|
|
int * cur_ptr=ptr;
|
|
for(int i=0;i<9;i++){
|
|
bottle[* cur_ptr]++;
|
|
//printf("%d \n",* cur_ptr);
|
|
cur_ptr+=9;
|
|
}
|
|
for(int i=1;i<=9;i++){
|
|
//printf("%d",bottle[i]);
|
|
if(bottle[i]>1){
|
|
err_num = i;
|
|
return 0;
|
|
}
|
|
}
|
|
return 1;
|
|
}
|
|
|
|
int check_row(int * ptr){
|
|
int bottle[10]={0};
|
|
int * cur_ptr=ptr;
|
|
for(int i=0;i<9;i++){
|
|
bottle[* cur_ptr]++;
|
|
//printf("%d ",* cur_ptr);
|
|
cur_ptr++;
|
|
}
|
|
for(int i=1;i<=9;i++){
|
|
//printf("%d",bottle[i]);
|
|
if(bottle[i]>1){
|
|
err_num = i;
|
|
return 0;
|
|
}
|
|
}
|
|
return 1;
|
|
}
|
|
|
|
int check_whole(int * ptr,int output_on){
|
|
for(int i=0;i<9;i+=3){
|
|
for(int j=0;j<9;j+=3){
|
|
if(!check_submatrix(&ptr[i*9+j])){
|
|
if(output_on){
|
|
printf("False:Invalid initial Sudoku matrix!\n");
|
|
printf("The number %d in the block %d has been used!",err_num,i+j/3+1);
|
|
}
|
|
return 0;
|
|
}
|
|
}
|
|
}
|
|
|
|
for(int i=0;i<9;i++){
|
|
if(!check_row(&ptr[i*9+0])){
|
|
if(output_on) {
|
|
printf("False:Invalid initial Sudoku matrix!\n");
|
|
printf("The number %d in the col %d has been used!", err_num, i);
|
|
}
|
|
return 0;
|
|
}
|
|
}
|
|
|
|
for(int i=0;i<9;i++){
|
|
if(!check_col(&ptr[i])){
|
|
if(output_on){
|
|
printf("False:Invalid initial Sudoku matrix!\n");
|
|
printf("The number %d in the row %d has been used!",err_num,i);
|
|
}
|
|
return 0;
|
|
}
|
|
}
|
|
if(output_on){
|
|
printf("True:Valid initial Sudoku matrix!\n");
|
|
}
|
|
return 1;
|
|
}
|
|
|
|
int dfs(int * ptr,int * start_pos){
|
|
|
|
for(int * i=ptr;i<start_pos+81;i++){
|
|
if((* i)==0){
|
|
for(int j=1;j<=9;j++){
|
|
* i = j;
|
|
if(check_whole(start_pos,0) && dfs(i+1,start_pos))return 1;
|
|
}
|
|
* i =0;
|
|
return 0;
|
|
}
|
|
}
|
|
return 1;
|
|
}
|
|
|
|
void printGrid(int grid[9][9]) {
|
|
int i, j;
|
|
for (i = 0; i < 9; i++) {
|
|
for (j = 0; j < 9; j++) {
|
|
printf("%2d ", grid[i][j]);
|
|
if ((j + 1) % 3 == 0 && j < 8) {
|
|
printf("| ");
|
|
}
|
|
}
|
|
printf("\n");
|
|
if ((i + 1) % 3 == 0 && i < 8) {
|
|
printf("------------------------------\n");
|
|
}
|
|
}
|
|
}
|
|
|
|
int Sudoku_validator(int grid[9][9]){
|
|
printf("The original Sudoku matrix:\n");
|
|
printGrid(grid);
|
|
|
|
check_whole(&grid[0][0],1);
|
|
|
|
if(dfs(&grid[0][0],&grid[0][0])) {
|
|
|
|
printf("The solution of Sudoku matrix:\n");
|
|
printGrid(grid);
|
|
}
|
|
else printf("No solution");
|
|
return 0;
|
|
}
|
|
int main(void) {
|
|
Sudoku_validator(board2);
|
|
|
|
}
|