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数组矩阵.c

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+#include <stdio.h>
+#include <stdlib.h>
+#include <time.h>
+
+void printSudoku(int sudoku[9][9]) {
+	printf("-------------------------\n");
+	for (int i = 0; i < 9; i++) {
+		for (int j = 0; j < 9; j++) {
+			if (sudoku[i][j] == 0) {
+				printf(" .");
+			} else {
+				printf(" %d", sudoku[i][j]);
+			}
+			if ((j + 1) % 3 == 0) {
+				printf(" |");
+			}
+		}
+		printf("\n");
+		if ((i + 1) % 3 == 0) {
+			printf("-------------------------\n");
+		}
+	}
+}
+
+void generateSudoku(int sudoku[9][9]) {
+	srand(time(NULL));
+	for (int i = 0; i < 9; i++) {
+		for (int j = 0; j < 9; j++) {
+			sudoku[i][j] = 0;
+		}
+	}
+	for (int i = 0; i < 9; i += 3) {
+		int num = 1;
+		for (int j = 0; j < 3; j++) {
+			for (int k = 0; k < 3; k++) {
+				int row = rand() % 3 + i;
+				int col = rand() % 9;
+				while (sudoku[row][col] != 0) {
+					col = (col + 1) % 9;
+				}
+				sudoku[row][col] = num;
+				num = (num + 1) % 9 + 1;
+			}
+		}
+	}
+}
+
+int isValidSudoku(int sudoku[9][9]) {
+	int row[9][10] = {0}; 
+	int col[9][10] = {0}; 
+	int block[3][3][10] = {0};
+	
+	for (int i = 0; i < 9; i++) {
+		for (int j = 0; j < 9; j++) {
+			int num = sudoku[i][j];
+			if (num != 0) {
+				if (row[i][num] == 1) {
+					printf("False: Invalid initial Sudoku matrix!\n");
+					printf("The number %d in the row %d has been used!\n", num, i + 1);
+					return 0;
+				}
+				if (col[j][num] == 1) {
+					printf("False: Invalid initial Sudoku matrix!\n");
+					printf("The number %d in the column %d has been used!\n", num, j + 1);
+					return 0;
+				}
+				if (block[i / 3][j / 3][num] == 1) {
+					printf("False: Invalid initial Sudoku matrix!\n");
+					printf("The number %d in the block %d has been used!\n", num, (i / 3) * 3 + j / 3 + 1);
+					return 0;
+				}
+				row[i][num] = 1;
+				col[j][num] = 1;
+				block[i / 3][j / 3][num] = 1;
+			}
+		}
+	}
+	printf("True: Valid initial Sudoku matrix!\n");
+	return 1;
+}
+
+int isSudokuFilled(int sudoku[9][9]) {
+	for (int i = 0; i < 9; i++) {
+		for (int j = 0; j < 9; j++) {
+			if (sudoku[i][j] == 0) {
+				return 0;
+			}
+		}
+	}
+	return 1;
+}
+
+int isSafe(int sudoku[9][9], int row, int col, int num) {
+	for (int i = 0; i < 9; i++) {
+		if (sudoku[row][i] == num || sudoku[i][col] == num) {
+			return 0;
+		}
+	}
+	int startRow = row - row % 3;
+	int startCol = col - col % 3;
+	for (int i = 0; i < 3; i++) {
+		for (int j = 0; j < 3; j++) {
+			if (sudoku[i + startRow][j + startCol] == num) {
+				return 0;
+			}
+		}
+	}
+	return 1;
+}
+
+int solveSudoku(int sudoku[9][9]) {
+	if (isSudokuFilled(sudoku)) {
+		return 1;
+	}
+	for (int i = 0; i < 9; i++) {
+		for (int j = 0; j < 9; j++) {
+			if (sudoku[i][j] == 0) {
+				for (int num = 1; num <= 9; num++) {
+					if (isSafe(sudoku, i, j, num)) {
+						sudoku[i][j] = num;
+						if (solveSudoku(sudoku)) {
+							return 1;
+						}
+						sudoku[i][j] = 0;
+					}
+				}
+				return 0;
+			}
+		}
+	}
+	return 0;
+}
+
+int main() {
+	int sudoku[9][9];
+	
+	generateSudoku(sudoku);
+	printf("The original Sudoku matrix:\n");
+	printSudoku(sudoku);
+	
+	isValidSudoku(sudoku);
+	
+	if (solveSudoku(sudoku)) {
+		printf("The solution of Sudoku matrix:\n");
+		printSudoku(sudoku);
+	} else {
+		printf("No solution!\n");
+	}
+	
+	return 0;
+}
+