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Sudoku_validator.c

@@ -0,0 +1,178 @@
+#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);
+
+}