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test four.cpp

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+#include<stdio.h>
+int main()
+{
+	bool fill(int board_[9][9]);
+	int JudgeMent(int board[9][9]);
+	bool judge = 1; 
+	int result = 0;
+	int b_0[9][9];
+	for ( int i=0;i<9;i++)
+	{
+		for(int j=0;j<9;j++)
+		{
+			scanf("%d",&b_0[i][j]); 			
+		}
+		
+	}//读取数组
+	
+	 
+	judge=JudgeMent(b_0);
+	if(judge==1)
+	{
+		
+		if(!fill(b_0))
+		{
+			printf("No solution");
+		}
+		else
+		{
+			printf("|-----------------------|\n");
+			for(int i=0;i<9;i++)
+			{
+				printf("| ");
+				for (int  j=0;j<9;j++)
+				{
+					printf("%d ",b_0[i][j]);
+					if(j==2||j==5)printf("| ");
+					if(j==8) printf("|\n");
+				}
+				if(i==2||i==5||i==8)printf("|-----------------------|\n");		
+			}
+		}
+	}
+	
+	return 0;
+	
+}
+bool fill(int board_[9][9])
+{
+	bool isValid(int board[9][9], int row, int col, int k);
+	int JudgeMent(int board[9][9]);
+	int Judgement(int board[9][9]);
+	for ( int i=0;i<9;i++)
+	{
+		for(int j=0;j<9;j++)
+		{
+			if(board_[i][j]!=0)
+			{
+				//b_0[i][j]++;
+				continue;
+			} 
+			for(int k=1;k<=9;k++)
+			{
+				if(isValid( board_,  i,  j,  k)) {
+                    board_[i][j] = k;
+                    /* 判断下一层递归之后是否找到一种解法，是则返回true */
+                    if (fill(board_)) 
+					{
+                        return true;
+                    }
+                    /* 回溯，将当前位置清零 */
+                    board_[i][j] = 0;
+                }
+				
+			}
+			return 0;			
+		}
+		
+	}
+	return 1;
+}
+
+int JudgeMent(int board[9][9])
+{
+	int parallel[9][9]={0};//用于计数，计算每行1-9出现的次数 
+	int vertical[9][9]={0}; //用于计数，计算每列1-9出现的次数 
+	int a[9][9]={0}; //用于计数，计算每块1-9出现的次数 
+	int element,line=0, column=0, block =0;
+	int i,j,k;//用于控制循环 
+	int err01,err02,err12,err11,err21,err22;//记录数据出错的位置 
+	bool judgement=0;
+	printf("The original Sudoku matrix: \n") ;
+	printf("|-----------------------|\n");
+	for(i=0;i<9;i++)
+	{
+		printf("| ");
+		for ( j=0;j<9;j++)
+		{
+			printf("%d ",board[i][j]);
+			if(j==2||j==5)printf("| ");
+			if(j==8) printf("|\n");
+		}
+		if(i==2||i==5||i==8)printf("|-----------------------|\n");		
+	}//输出数组； 
+	
+	for ( i=0;i<9;i++)
+	{
+		for( j=0;j<9;j++)
+		{
+			if(board[i][j]>=1&&board[i][j]<=9)
+			{
+				element=board[i][j];
+				parallel[i][element-1]++;
+			}
+			
+		}
+		
+	}//统计各行各个数字出现的次数 
+	for ( i=0;i<9;i++)
+	{
+		for( j=0;j<9;j++)
+		{
+			if(parallel[i][j]>1)
+			{
+				line=parallel[i][j];
+				err01=j+1;
+				err02=i+1;
+				goto end;
+			}			
+		}
+		
+	}//判断行 
+	for ( i=0;i<9;i++)
+	{
+		for( j=0;j<9;j++)
+		{
+			if(board[i][j]>=1&&board[i][j]<=9)
+			{
+				element=board[i][j];
+				vertical[element-1][j]++;
+			}
+			
+		}
+		
+	}
+	for ( i=0;i<9;i++)
+	{
+		for( j=0;j<9;j++)
+		{
+			if(vertical[i][j]>1)
+			{
+				column=vertical[i][j];
+				err11=j+1;
+				err12=i+1;
+				goto end;
+			}			
+		}
+		
+	}
+	//判断列 
+	for (i=0;i<9;i++)
+	{
+		for(j=0;j<9;j++)
+		{
+			if(board[i][j]>=1&&board[i][j]<=9)
+			{
+				element=board[i][j];
+				k=i/3*3+j/3; 
+				a[k][element-1]++;
+			}
+			
+		}
+	}
+	for ( i=0;i<9;i++)
+	{
+		for( j=0;j<9;j++)
+		{
+			if(a[i][j]>1)
+			{
+				block=a[i][j];
+				err21=i+1;
+				err22=j+1;
+				goto end;
+			}			
+		}
+		
+	}
+	//判断块 
+	end:
+	if(line>1)
+	{
+		printf("False:Invalid initial Sudoku matrix!\n");
+		printf("The number %d in the line %d has been used!",err01,err02);
+	}
+	else if(column>1)
+	{
+		printf("False:Invalid initial Sudoku matrix!\n");
+		printf("The number %d in the column %d has been used!",err12,err11);
+	}	
+	else if(block>1)
+	{
+		printf("False:Invalid initial Sudoku matrix!\n");
+		printf("The number %d in the block %d has been used!",err22,err21);
+	}
+	else
+	{
+			printf("True:Valid initial Sudoku matrix!\n");
+			judgement=1;
+	}
+	return judgement;
+
+}
+bool isValid(int board[9][9], int row, int col, int k) {
+    // 判断当前行是否有重复元素 
+    for (int i = 0; i < 9; i++) {
+        if (board[i][col] == k) {
+            return false;
+        }
+    }
+	// 判断当前列是否有重复元素 
+    for (int j = 0; j < 9; j++) {
+        if (board[row][j] == k) {
+            return false;
+        }
+    }
+    // 计算当前9宫格左上角的位置 
+    int startRow = (row / 3) * 3;
+    int startCol = (col / 3) * 3;
+    //判断当前元素所在九宫格是否有重复元素 
+    for (int i = startRow; i < startRow + 3; i++) {
+        for (int j = startCol; j < startCol + 3; j++) {
+            if (board[i][j] == k) {
+                return false;
+            }
+        }
+    }
+    //满足条件，返回true 
+    return true;
+}
+