写一个程序,解决数独求解的问题
空的格子用字符  ‘.’代替。
你可以假设只有一个解
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一个数独 …
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…红色的数字就是解.
下面是我的代码
/**
 * 
 */
package com.zhazhapan.algorithm.backtracking;
/**
 * @author pantao
 * @date 2017-04-06
 *
 */
public class SudokuSolve {
    /**
     * @param args
     */
    public static void main(String[] args) {
        // TODO Auto-generated method stub
        String[] string = { "..9748...", "7........", ".2.1.9...", "..7...24.", ".64.1.59.", ".98...3..", "...8.3.2.",
                "........6", "...2759.." };
        char[][] board = new char[9][9];
        // 初始化数独 
        for (int i = 0; i < 9; i++) {
            for (int j = 0; j < 9; j++) {
                board[i][j] = string[i].charAt(j);
            }
        }
        new SudokuSolve().solveSudoku(board);
    }
    public void solveSudoku(char[][] board) {
        if (board == null || board.length != 9 || board[0].length != 9) {
            return;
        }
        if (solve(board, 0, 0)) {
             // 打印结果
            for (int i = 0; i < 9; i++) {
                for (int j = 0; j < 9; j++) {
                    System.out.print(board[i][j] + " ");
                }
                System.out.println();
            }
        }
    }
    public boolean solve(char[][] board, int i, int j) {
        if (j == 9) {
            if (i == 8)
                return true;
            i++;
            j = 0;
        }
        if (board[i][j] != '.') {
            return solve(board, i, j + 1);
        }
        for (char k = '1'; k <= '9'; k++) {
            if (isValid(board, i, j, k)) {
                board[i][j] = k;
                if (solve(board, i, j + 1))
                    return true;
                else
                    board[i][j] = '.';
            }
        }
        return false;
    }
    public boolean isValid(char[][] board, int i, int j, char c) {
        for (int k = 0; k < 9; k++) {
            if (board[i][k] != '.' && board[i][k] == c)
                return false;
            if (board[k][j] != '.' && board[k][j] == c)
                return false;
            if (board[i / 3 * 3 + k / 3][j / 3 * 3 + k % 3] != '.'
                    && board[i / 3 * 3 + k / 3][j / 3 * 3 + k % 3] == c)
                return false;
        }
        return true;
    }
}