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.
141 lines
4.2 KiB
141 lines
4.2 KiB
2 weeks ago
|
#include <stdio.h>
|
||
|
|
||
|
|
||
|
int checkRows(int matrix[9][9]) {
|
||
|
for (int i = 0; i < 9; i++) {
|
||
|
int count[10] = {0};
|
||
|
for (int j = 0; j < 9; j++) {
|
||
|
if (matrix[i][j] >= 1 && matrix[i][j] <= 9) {
|
||
|
if (count[matrix[i][j]] == 1) {
|
||
|
return 0;
|
||
|
}
|
||
|
count[matrix[i][j]]++;
|
||
|
}
|
||
|
}
|
||
|
}
|
||
|
return 1;
|
||
|
}
|
||
|
|
||
|
|
||
|
int checkColumns(int matrix[9][9]) {
|
||
|
for (int j = 0; j < 9; j++) {
|
||
|
int count[10] = {0};
|
||
|
for (int i = 0; i < 9; i++) {
|
||
|
if (matrix[i][j] >= 1 && matrix[i][j] <= 9) {
|
||
|
if (count[matrix[i][j]] == 1) {
|
||
|
return 0;
|
||
|
}
|
||
|
count[matrix[i][j]]++;
|
||
|
}
|
||
|
}
|
||
|
}
|
||
|
return 1;
|
||
|
}
|
||
|
|
||
|
|
||
|
int checkSubMatrices(int matrix[9][9]) {
|
||
|
for (int blockRow = 0; blockRow < 3; blockRow++) {
|
||
|
for (int blockCol = 0; blockCol < 3; blockCol++) {
|
||
|
int count[10] = {0};
|
||
|
for (int i = blockRow * 3; i < blockRow * 3 + 3; i++) {
|
||
|
for (int j = blockCol * 3; j < blockCol * 3 + 3; j++) {
|
||
|
if (matrix[i][j] >= 1 && matrix[i][j] <= 9) {
|
||
|
if (count[matrix[i][j]] == 1) {
|
||
|
return 0;
|
||
|
}
|
||
|
count[matrix[i][j]]++;
|
||
|
}
|
||
|
}
|
||
|
}
|
||
|
}
|
||
|
}
|
||
|
return 1;
|
||
|
}
|
||
|
|
||
|
|
||
|
void printMatrix(int matrix[9][9]) {
|
||
|
printf("|--------------------|\n|");
|
||
|
for (int i = 0; i < 9; i++) {
|
||
|
for (int j = 0; j < 9; j++) {
|
||
|
printf("%d ", matrix[i][j]);
|
||
|
if((i+1)%1==0&&(j+1)%3==0) printf("|");
|
||
|
if((i+1)%3==0&&(j+1)%9==0) printf("\n|--------------------|");
|
||
|
if((j+1)==9&&i!=8) printf("\n|");
|
||
|
}
|
||
|
|
||
|
}
|
||
|
}
|
||
|
|
||
|
int main() {
|
||
|
int matrix[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}
|
||
|
};
|
||
|
|
||
|
|
||
|
printf("The original Sudoku matrix: \n");
|
||
|
printMatrix(matrix);
|
||
|
|
||
|
|
||
|
if (checkRows(matrix) && checkColumns(matrix) && checkSubMatrices(matrix)) {
|
||
|
printf("True:Valid initial Sudoku matrix!\n");
|
||
|
} else {
|
||
|
printf("False:Invalid initial Sudoku matrix!\n");
|
||
|
|
||
|
|
||
|
for (int i = 0; i < 9; i++) {
|
||
|
int count[10] = {0};
|
||
|
for (int j = 0; j < 9; j++) {
|
||
|
if (matrix[i][j] >= 1 && matrix[i][j] <= 9) {
|
||
|
if (count[matrix[i][j]] == 1) {
|
||
|
printf("The number %d in the row %d has been used!\n", matrix[i][j], i + 1);
|
||
|
|
||
|
}
|
||
|
count[matrix[i][j]]++;
|
||
|
}
|
||
|
}
|
||
|
}
|
||
|
|
||
|
|
||
|
for (int j = 0; j < 9; j++) {
|
||
|
int count[10] = {0};
|
||
|
for (int i = 0; i < 9; i++) {
|
||
|
if (matrix[i][j] >= 1 && matrix[i][j] <= 9) {
|
||
|
if (count[matrix[i][j]] == 1) {
|
||
|
printf("The number %d in the col %d has been used!\n", matrix[i][j], j + 1);
|
||
|
|
||
|
}
|
||
|
count[matrix[i][j]]++;
|
||
|
}
|
||
|
}
|
||
|
}
|
||
|
|
||
|
|
||
|
for (int blockRow = 0; blockRow < 3; blockRow++) {
|
||
|
for (int blockCol = 0; blockCol < 3; blockCol++) {
|
||
|
int count[10] = {0};
|
||
|
for (int i = blockRow * 3; i < blockRow * 3 + 3; i++) {
|
||
|
for (int j = blockCol * 3; j < blockCol * 3 + 3; j++) {
|
||
|
if (matrix[i][j] >= 1 && matrix[i][j] <= 9) {
|
||
|
if (count[matrix[i][j]] == 1) {
|
||
|
printf("The number %d in the block %d has been used!\n", matrix[i][j], blockRow * 3 + blockCol + 1);
|
||
|
|
||
|
}
|
||
|
count[matrix[i][j]]++;
|
||
|
}
|
||
|
}
|
||
|
}
|
||
|
}
|
||
|
}
|
||
|
}
|
||
|
|
||
|
return 0;
|
||
|
}
|