JAva解数独

10722 ワード

まず解く数独を入力し,多次元配列を用いて値を保存し,数字が記入されていない箇所を0に初期化し,次いで再帰的な方法で数独を解く.
直接コード:
/**
 * 
 * @author walker
 * 
 */
public class Sudoku {

    private int[][] sudoku;

    public Sudoku(int[][] sudoku) {
        this.sudoku = sudoku;
    }

    /**
     *   
     * 
     * @param sudoku
     */
    public void print(int[][] sudoku) {
        for (int i = 0; i < 9; i++) {
            for (int j = 0; j < 9; j++) {
                System.out.print(sudoku[i][j] + " ");

                if (j == 2 || j == 5) {
                    System.out.print(" | ");
                }
            }

            System.out.println();
            if (i == 2 || i == 5) {
                System.out.println("-----------------------");
            }
        }
    }

    private boolean work(int row, int col) {
        int i, j, x, x1, y, y1;
        //
        if (col > 8) {
            row++;
            col = 0;
        }

        //
        if (row > 8) {
            return true;
        }

        //           0,        ,         
        if (sudoku[row][col] != 0) {
            return work(row, col + 1);
        }

        //              
        for (i = 1; i < 10; i++) {
            //               
            for (j = 0; j < 9; j++) {
                if (sudoku[row][j] == i)
                    break;
            }

            if (j < 9) { //
                continue;
            }

            //               
            for (j = 0; j < 9; j++) {
                if (sudoku[j][col] == i)
                    break;
            }

            if (j < 9) { //
                continue;
            }

            //  3*3             
            j = 0;
            x1 = row / 3 * 3 + 3;
            y1 = col / 3 * 3 + 3;
            for (x = row / 3 * 3; x < x1; x++) {
                if (j == 1)
                    break;
                for (y = col / 3 * 3; y < y1; y++) {
                    if (sudoku[x][y] == i) {
                        j = 1;
                        break;
                    }
                }
            }

            //
            if (j == 1) {
                continue;
            }
            sudoku[row][col] = i;//          

            //          
            if (work(row, col + 1)) {
                return true; //
            }

            //                 ,  ,           
            sudoku[row][col] = 0;
        }

        sudoku[row][col] = 0;
        //           
        return false;
    }

    public void start() {
        print(sudoku);
        work(0, 0);
        System.out.println("
-----------------------
"); print(sudoku); } /** * @param args */ public static void main(String[] args) { int[][] sudokuArray = { { 8, 0, 0, 0, 0, 0, 0, 0, 0 }, { 0, 0, 3, 6, 0, 0, 0, 0, 0 }, { 0, 7, 0, 0, 9, 0, 2, 0, 0 }, { 0, 5, 0, 0, 0, 7, 0, 0, 0 }, { 0, 0, 0, 0, 4, 5, 7, 0, 0 }, { 0, 0, 0, 1, 0, 0, 0, 3, 0 }, { 0, 0, 1, 0, 0, 0, 0, 6, 8 }, { 0, 0, 8, 5, 0, 0, 0, 1, 0 }, { 0, 9, 0, 0, 0, 0, 4, 0, 0 } }; Sudoku sudoku = new Sudoku(sudokuArray); sudoku.start(); } }

 
 
 
未処理:
8 0 0 | 0 0 0 | 0 0 0 0 0 3 | 6 0 0 | 0 0 0 0 7 0 | 0 9 0 | 2 0 0 -----------------------0 5 0 | 0 0 7 | 0 0 0 0 0 0 | 0 4 5 | 7 0 0 0 0 0 | 1 0 0 | 0 3 0 -----------------------0 0 1 | 0 0 0 | 0 6 8 0 0 8 | 5 0 0 | 0 1 0 0 9 0 | 0 0 0 | 4 0 0
処理後:
8 1 2 | 7 5 3 | 6 4 9 9 4 3 | 6 8 2 | 1 7 5 6 7 5 | 4 9 1 | 2 8 3 -----------------------1 5 4 | 2 3 7 | 8 9 6 3 6 9 | 8 4 5 | 7 2 1 2 8 7 | 1 6 9 | 5 3 4 -----------------------5 2 1 | 9 7 4 | 3 6 8 4 3 8 | 5 2 6 | 9 1 7 7 9 6 | 3 1 8 | 4 5 2