任务4

4.cpp

@@ -0,0 +1,130 @@
+#include<stdio.h>
+#include<time.h>
+#include<stdlib.h>
+
+int checkMatrix(int matrixArr[9][9], int isPrintInfo){
+  int rowCnt[9][10]={0};
+  int colCnt[9][10]={0};
+  int bloCnt[9][10]={0};
+  for(int i=0;i<9;i++){
+    for(int j=0;j<9;j++){
+      if(matrixArr[i][j]!=0){
+        rowCnt[i][matrixArr[i][j]]++;
+        if(rowCnt[i][matrixArr[i][j]]>1){
+          if(isPrintInfo){
+            printf("\nFalse:Invalid initial Sudoku matrix!");
+            printf("\nThe number %d in the row %d has been used!",matrixArr[i][j],i+1);
+          }
+          return 0;
+        }
+        colCnt[j][matrixArr[i][j]]++;
+        if(colCnt[j][matrixArr[i][j]]>1){
+          if(isPrintInfo){
+            printf("\nFalse:Invalid initial Sudoku matrix!");
+            printf("\nThe number %d in the col %d has been used!",matrixArr[i][j],j+1);
+          }
+          return 0;
+        }
+        bloCnt[i/3*3+j/3][matrixArr[i][j]]++;
+        if(bloCnt[i/3*3+j/3][matrixArr[i][j]]>1){
+          if(isPrintInfo){
+            printf("\nFalse:Invalid initial Sudoku matrix!");
+            printf("\nThe number %d in the block %d has been used!",matrixArr[i][j],i/3*3+j/3+1);
+          }
+          return 0;
+        }
+      }
+    }
+  }
+  if(isPrintInfo){
+    printf("\nTrue:Valid initial Sudoku matrix!");
+  }
+  return 1;
+}
+void matrixOutput(int matrixArr[9][9])
+{
+  for (int i = 0; i < 9; i++)
+  {
+    for (int j = 0; j < 9; j++)
+    {
+      printf("%d", matrixArr[i][j]);
+      if (j != 8)
+        printf(" ");
+    }
+    if (i != 8)
+      printf("\n");
+  }
+}
+int fillMatrix(int matrixArr[9][9], int row, int col){
+  if(row==9){
+    return 1;
+  }
+  if(col==9){
+    return fillMatrix(matrixArr,row+1,0);
+  }
+  if(matrixArr[row][col]!=0){
+    return fillMatrix(matrixArr, row, col+1);
+  }
+  for(int i=1;i<=9;i++){
+    matrixArr[row][col]=i;
+    if(checkMatrix(matrixArr,0)){
+      if(fillMatrix(matrixArr,row,col+1)){
+        return 1;
+      }
+      matrixArr[row][col]=0;
+    }else{
+      matrixArr[row][col]=0;
+    }
+  }
+  return 0;
+}
+
+int main()
+{
+  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}};
+  printf("The original Sudoku matrix: \n");
+  matrixOutput(board0);
+  if (checkMatrix(board0, 1))
+  {
+    if (fillMatrix(board0, 0, 0))
+    {
+      printf("\nThe solution of Sudoku matrix:\n");
+      matrixOutput(board0);
+    }
+    else
+    {
+      printf("\nNo solution!");
+    }
+  }
+  else
+  {
+    printf("\nNo solution!");
+  }
+  return 0;
+}