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jvzhen(4).c

@@ -0,0 +1,141 @@
+#include <stdio.h>  
+#include <stdbool.h>  
+
+#define SIZE 9  
+
+void print_sudoku(int matrix[SIZE][SIZE]) {
+    for (int i = 0; i < SIZE; i++) {
+        for (int j = 0; j < SIZE; j++) {
+            printf("%d ", matrix[i][j]);
+            if ((j + 1) % 3 == 0 && j != 8) {
+                printf("| ");
+            }
+        }
+        printf("\n");
+        if ((i + 1) % 3 == 0 && i != 8) {
+            printf("------+-------+------\n");
+        }
+    }
+}
+
+bool is_valid_sudoku(int matrix[SIZE][SIZE]) {
+    // 检查行、列和 3x3 小块  
+    for (int i = 0; i < SIZE; i++) {
+        bool row_check[SIZE + 1] = { false }; // 用于检查行中 1-9 的出现情况  
+        bool col_check[SIZE + 1] = { false }; // 用于检查列中 1-9 的出现情况  
+        for (int j = 0; j < SIZE; j++) {
+            // 检查行  
+            if (matrix[i][j] != 0) {
+                if (row_check[matrix[i][j]]) {
+                    printf("False:Invalid initial Sudoku matrix!\n");
+                    printf("The number %d in the row %d has been used!\n", matrix[i][j], i + 1);
+                    return false;
+                }
+                row_check[matrix[i][j]] = true;
+            }
+
+            // 检查列  
+            if (matrix[j][i] != 0) {
+                if (col_check[matrix[j][i]]) {
+                    printf("False:Invalid initial Sudoku matrix!\n");
+                    printf("The number %d in the col %d has been used!\n", matrix[j][i], i + 1);
+                    return false;
+                }
+                col_check[matrix[j][i]] = true;
+            }
+        }
+    }
+
+    // 检查 3x3 小块  
+    for (int start_row = 0; start_row < SIZE; start_row += 3) {
+        for (int start_col = 0; start_col < SIZE; start_col += 3) {
+            bool block_check[SIZE + 1] = { false }; // 用于检查 3x3 小块  
+            for (int i = start_row; i < start_row + 3; i++) {
+                for (int j = start_col; j < start_col + 3; j++) {
+                    if (matrix[i][j] != 0) {
+                        if (block_check[matrix[i][j]]) {
+                            printf("False:Invalid initial Sudoku matrix!\n");
+                            printf("The number %d in the block %d has been used!\n", matrix[i][j], (start_row / 3) * 3 + (start_col / 3) + 1);
+                            return false;
+                        }
+                        block_check[matrix[i][j]] = true;
+                    }
+                }
+            }
+        }
+    }
+
+    return true;
+}
+
+bool is_safe(int matrix[SIZE][SIZE], int row, int col, int num) {
+    for (int x = 0; x < SIZE; x++) {
+        if (matrix[row][x] == num || matrix[x][col] == num) {
+            return false;
+        }
+    }
+
+    int startRow = row - row % 3, startCol = col - col % 3;
+    for (int i = 0; i < 3; i++) {
+        for (int j = 0; j < 3; j++) {
+            if (matrix[i + startRow][j + startCol] == num) {
+                return false;
+            }
+        }
+    }
+    return true;
+}
+
+bool solve_sudoku(int matrix[SIZE][SIZE]) {
+    for (int row = 0; row < SIZE; row++) {
+        for (int col = 0; col < SIZE; col++) {
+            if (matrix[row][col] == 0) {
+                for (int num = 1; num <= 9; num++) {
+                    if (is_safe(matrix, row, col, num)) {
+                        matrix[row][col] = num;
+                        if (solve_sudoku(matrix)) {
+                            return true;
+                        }
+                        matrix[row][col] = 0; // 撤销选择  
+                    }
+                }
+                return false; // 如果没有数字能够放入，返回 false  
+            }
+        }
+    }
+    return true; // 成功解决数独  
+}
+
+int main() {
+    int sudoku_matrix[SIZE][SIZE] = {
+        {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");
+    print_sudoku(sudoku_matrix);
+
+    if (is_valid_sudoku(sudoku_matrix)) {
+        printf("True:Valid initial Sudoku matrix!\n");
+        if (solve_sudoku(sudoku_matrix)) {
+            printf("The solution of Sudoku matrix:\n");
+            print_sudoku(sudoku_matrix);
+        }
+        else {
+            printf("No solution!\n");
+        }
+    }
+    else {
+        printf("No solution!\n");
+    }
+
+    return 0;
+}
+