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ONE_T3.cpp

@@ -0,0 +1,119 @@
+#include <stdio.h>
+
+// 输出矩阵的格式化结果
+void printarr(int arr[9][9])
+{
+	int i,j,k,n;
+for(n=0;n<=6;n=n+3)
+{
+
+printf("|-----------------------|\n") ;
+for(i=n;i<=n+2;i++)
+{
+	for(k=0;k<=6;k=k+3)
+	{
+		printf("|");
+	for(j=k;j<=k+2;j++)
+	{
+		printf(" %d",arr[i][j]);
+	}
+	printf(" ");
+    }
+    printf("|\n");
+}
+
+}
+printf("|-----------------------|\n") ;
+}
+
+
+const char* checkSudoku(int matrix[9][9]) 
+{
+   // 检查每一行 
+    for (int i = 0; i < 9; i++) 
+	{
+        int seen[10] = {0};
+        for (int j = 0; j < 9; j++)
+		{
+            int num = matrix[i][j];
+            if (num != 0)
+			{
+                if (seen[num] != 0)
+				{
+					printf("False:Invalid initial Sudoku matrix!\nThe number %d in the row %d has been used!",num,i+1);
+                    return 0;
+                }
+                seen[num] = 1;
+            }
+        }
+    }
+
+    // 检查每一列
+    for (int j = 0; j < 9; j++)
+	{
+        int seen[10] = {0};
+        for (int i = 0; i < 9; i++)
+		{
+            int num = matrix[i][j];
+            if (num != 0)
+			{
+                if (seen[num] != 0)
+				{
+				    printf("False:Invalid initial Sudoku matrix!\nThe number %d in the col %d has been used!",num,j+1);
+                    return 0;
+                }
+                seen[num] = 1;
+            }
+        }
+    }
+
+    // 检查每个 3x3 子矩阵
+    for (int block = 0; block < 9; block++)
+	{
+        int seen[10] = {0};
+        int startRow = (block / 3) * 3;
+        int startCol = (block % 3) * 3;
+        for (int i = startRow; i < startRow + 3; i++)
+		{
+            for (int j = startCol; j < startCol + 3; j++)
+			{
+                int num = matrix[i][j];
+                if (num != 0)
+				{
+                    if (seen[num] != 0)
+					{
+						printf("False:Invalid initial Sudoku matrix!\nThe number %d in the block %d has been used!",num,block+1);
+                        return 0;
+                    }
+                    seen[num] = 1;
+                }
+            }
+        }
+    }
+
+    return "True:Valid initial Sudoku matrix!";
+}
+
+int main() {
+    int sudokuMatrix[9][9] = {
+        {3, 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}
+    };
+
+    // 输出原始数独矩阵
+    printf("The original Sudoku matrix: \n");
+    printarr(sudokuMatrix);
+
+    // 判断数独矩阵是否合法
+    const char* result = checkSudoku(sudokuMatrix);
+    printf("%s\n", result);
+
+    return 0;
+}