数独游戏

昨天朋友给了个数独的题目.想了半天没想出来

就自己写了个java实现. 效率并不高. 跑了半分钟才跑出来,也可能跟打印那么多额外的信息有关系.

 

import java.awt.List;
import java.util.ArrayList;
import java.util.HashMap;
import java.util.Stack;

public class shudu {
//数独数组的初始数据
    public static int[][] bb = { { 8, -1, -1, -1, -1, -1, -1, -1, -1 }, { -1, -1, 3, 6, -1, -1, -1, -1, -1 }, { -1, 7, -1, -1, 9, -1, 2, -1, -1 },
            { -1, 5, -1, -1, -1, 7, -1, -1, -1 }, { -1, -1, -1, -1, 4, 5, 7, -1, -1 }, { -1, -1, -1, 1, -1, -1, -1, 3, -1 },
            { -1, -1, 1, -1, -1, -1, -1, 6, 8 }, { -1, -1, 8, 5, -1, -1, -1, 1, -1 }, { -1, 9, -1, -1, -1, -1, 4, -1, -1 } };
    public static Stack<vo> mysteps = new Stack<vo>();

    public static void main(String[] args) {
        shudu mShudu = new shudu();
        vo start = mShudu.getBestPositon(bb);
        mysteps.push(start);
        mysteps.get(mysteps.size() - 1);
//计算过程
        while (mysteps.size() > 0) {
            vo current = mysteps.peek();
            int[][] temp = new int[10][10];
            copyArray(current.current, temp);
            if (current.values.size() > 0) {
                int value = current.values.pop();
                System.out.println(current.values.size() + "  dddd");
                temp[current.position[0]][current.position[1]] = value;
                vo result = mShudu.getBestPositon(temp); //没找到一个数据的时候将他添加到历史里面
                if (result != null) {
                    mysteps.push(result);
                    if (result.values.size() > 0) {
                        if (check(result.current)) {
                            System.out.println("result is");
                            printResult(result, mysteps.size());
                            break;
                        }
                    }

                }

                printResult(mysteps.peek(), mysteps.size());
            } else {
                mysteps.pop(); //当这个数据的所有数字都被尝试过的时候 就弹出他.
            }

        }

    }
//检查是不是找到正确结果
    public static boolean check(int[][] c) {
        for (int i = 0; i < 9; i++) {
            for (int j = 0; j < 9; j++) {
                if (c[i][j] < 0) {
                    return false;
                }
            }
        }
        return true;
    }
//打印过程
    public static void printResult(vo v, int size) {
        System.out.println("-------------------------------------------");
        System.out.println("step size " + size);
        System.out.println("positon " + v.position[0] + "   " + v.position[1]);
        String value = "";
        for (int i = 0; i < 9; i++) {
            for (int j = 0; j < 9; j++) {
                value += v.current[i][j] + "\t";
            }
            value += "\n";
        }
        System.out.println(value);
    }
//数组复制.. 可能是双重数组.. 直接用系统复制 太坑人了...
    public static void copyArray(int[][] from, int[][] to) {
        for (int i = 0; i < 9; i++) {
            for (int j = 0; j < 9; j++) {
                to[i][j] = from[i][j];
            }
        }
    }
//提高效率 , 以次找到可能数字最小的位置来运算
    public  vo getBestPositon(int[][] mymap) {
        int score = 0;
        vo best = null;
        for (int i = 0; i < 9; i++) {
            for (int j = 0; j < 9; j++) {
                if (mymap[i][j] > 0) {
                    continue;
                }
                int ix = i % 3;
                int ip = i / 3;
                int jx = j % 3;
                int jp = j / 3;
                int myscore = 0;
                ArrayList<Integer> unuse = new ArrayList<Integer>();

                for (int p = 0; p < 3; p++) {
                    for (int b = 0; b < 3; b++) {
                        if (mymap[ip * 3 + p][jp * 3 + b] > 0) {
                            myscore += 1;

                            unuse.add(mymap[ip * 3 + p][jp * 3 + b]);
                        }
                    }
                }
                for (int p = 0; p < 9; p++) {
                    if (p < ip * 3 || p >= (ip * 3 + 3)) {
                        if (mymap[p][j] > 0) {
                            myscore += 1;
                            unuse.add(mymap[p][j]);
                        }
                    }
                }
                for (int b = 0; b < 9; b++) {
                    if (b < jp * 3 || b >= (jp * 3 + 3)) {
                        if (mymap[i][b] > 0) {
                            myscore += 1;
                            unuse.add(mymap[i][b]);
                        }
                    }
                }

                if (myscore > score) {
                    score = myscore;
                    // System.err.println(" " + myscore + " " + score + "  " +
                    // unuse.size());
                    System.out.println(unuse);
                    best = new vo();
                    best.position = new int[] { i, j };
                    copyArray(mymap, best.current);
                    for (int l = 1; l < 10; l++) {
                        boolean b = true;
                        for (int m : unuse) {
                            if (l == m) {
                                b = false;
                                break;
                            }

                        }
                        if (b) {
                            best.values.add(l); //获取可能数据
                        }
                    }
                }

            }
        }

        if (best.values.size() > 0) {
            System.out.println(best.values + "        " + best.position[0] + " " + best.position[1]);
            return best;
        } else {
            return null;
        }

    }
}
//一个数据对象
class vo {
    public int[] position;
    public int[][] current = new int[10][10];
    Stack<Integer> values = new Stack<Integer>();

    public vo() {
    }
}