独数计算

前段时间看到说有人设计了个很难的独数,花了在个月时间,人为解肯定是很复杂,但是我们程序猿可以用代码来解解看.之前也没有把代码放上来.主要是用递归,其它递归这个j8是很耗内存的.

今天又看到一园友的博客写独数据算法,我粗看了一下,也没细读代码,看到说解第三个独数要用10秒,我本来想试试我的代码,结果我看博主的独数就是我以前用的,所以数据也不用改直接运行,感觉还是很快啊.不会用10称吧.后来加了时间看效果,0.9秒就搞定了啊.回复了楼主,说了要贴代码出来,所以下面直接不啰嗦,上代码.代码很乱,我现在也看不懂了.只是有运行结果.

C#的一坨代码

using System;
using System.Collections;
using System.Collections.Generic;
using System.Data;
using System.Data.Sql;
using System.IO;
using System.Linq;
using System.Linq.Expressions;
using System.Runtime.Serialization.Formatters.Binary;
using System.Text;
using System.Threading;
using System.Threading.Tasks;
using System.Text.RegularExpressions;
using System.Data;
using ConsoleApplication1.Class1;

namespace ConsoleApplication1
{
    class Program
    {
        static void Main(string[] args)
        {
            Num n = new Num();
            //n.SetPosition(5, 2);
            //ArrayList al = n.GetNum();

            //n.Print();

            //n.Foo(0); //直接用这个会溢出，因为数据量操作太大了

            n.sw.Start();

            var t = new Thread(() => { n.Foo(0); }, 1073741824);
            t.Start();

            Console.Read();
        }

    }

    public class Num
    {
        public System.Diagnostics.Stopwatch sw = new System.Diagnostics.Stopwatch();

        private int row;
        private int col;

        public void SetPosition(int r, int c)
        {
            row = r;
            col = c;
        }

        private int[,] a = new int[9, 9] { 
        {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}

        };

        //栈记录可以填写的数据
        private Stack<TryData> stack = new Stack<TryData>();

        //打印
        public void Print()
        {
            for (int i = 0; i < 9; i++)
            {
                for (int j = 0; j < 9; j++)
                {
                    Console.Write(a[i, j] + " ");
                    if (j % 3 == 2)
                        Console.Write("  ");
                }
                Console.WriteLine();
                if (i % 3 == 2)
                    Console.WriteLine();
            }

            Console.WriteLine("time:" + sw.Elapsed);
        }

        public ArrayList GetNum()
        {
            //List<int> n = new List<int>() { 1, 2, 3, 4, 5, 6, 7, 8, 9 };
            ArrayList n = new ArrayList() { 1, 2, 3, 4, 5, 6, 7, 8, 9 };
            //行
            for (int i = 0; i < 9; i++)
            {
                n.Remove(a[row, i]);
            }
            //列
            for (int i = 0; i < 9; i++)
            {
                n.Remove(a[i, col]);
            }

            //当前九宫格
            int[] r = new int[3];
            int[] c = new int[3];

            if (row % 3 == 0)
            {
                //第一行
                r[0] = row;
                r[1] = row + 1;
                r[2] = row + 2;
            }
            else if (row % 3 == 1)
            {
                //第二行
                r[0] = row - 1;
                r[1] = row;
                r[2] = row + 1;
            }
            else
            {
                //第三行
                r[0] = row - 2;
                r[1] = row - 1;
                r[2] = row;
            }

            //r[row % 3] = row;
            //r[(row % 3 + 1) % 3] =0;
            //r[(row % 3 + 2) % 3] =0;

            if (col % 3 == 0)
            {
                c[0] = col;
                c[1] = col + 1;
                c[2] = col + 2;
            }
            else if (col % 3 == 1)
            {
                c[0] = col - 1;
                c[1] = col;
                c[2] = col + 1;
            }
            else
            {
                c[0] = col - 2;
                c[1] = col - 1;
                c[2] = col;
            }

            for (int i = 0; i < r.Length; i++)
            {
                for (int j = 0; j < c.Length; j++)
                {
                    n.Remove(a[r[i], c[j]]);
                }
            }

            return n;
        }

        public void Foo(int back)
        {
            if (back == 1)
            {
                //回退情况
                if (stack.Count > 0)
                {
                    TryData d = stack.Pop();

                    if (d.Row == row && d.Col == col)
                    {
                        if (d.N >= d.Al.Count)
                        {
                            //清理返回
                            a[row, col] = 0;

                            Backward();

                            Foo(1);
                        }
                        else
                        {

                            a[row, col] = Convert.ToInt32(d.Al[d.N]);//试下一个数
                            d.N++;
                            stack.Push(d);

                            //前进
                            Forward();

                            Foo(0);
                        }
                    }
                    else
                    {
                        stack.Push(d);
                        Backward();

                        Foo(1);
                    }
                }
                else
                {
                    Console.WriteLine("stack over");
                    return;
                }
            }
            else
            {
                //前进情况
                #region
                if (a[row, col] == 0)
                {
                    //试数
                    TryData td = new TryData();
                    td.Al = GetNum();
                    if (td.Al.Count == 0)
                    {
                        //清理返回
                        a[row, col] = 0;

                        Backward();
                        Foo(1);
                    }
                    else
                    {
                        td.Row = row;
                        td.Col = col;

                        a[row, col] = Convert.ToInt32(td.Al[td.N]);//试下一个数
                        td.N++;
                        stack.Push(td);

                        //前进
                        Forward();
                        Foo(0);
                    }
                }
                else
                {
                    Forward();
                    Foo(0);
                }
                #endregion

            }
        }

        //前进
        private void Forward()
        {
            col++;
            if (col >= 9)
            {
                col = 0;
                row++; //Console.WriteLine("+=>{0} 行", row);
                if (row >= 9)
                {
                    //Console.WriteLine("Last Row");
                    Print();
                    sw.Stop();
                    return;
                }
            }

        }
        //后退
        private void Backward()
        {
            col--;
            if (col < 0)
            {
                col = 8;
                row--; //Console.WriteLine("-=>{0} 行", row);
                if (row < 0)
                {
                    Console.WriteLine("First Row");
                    return;
                }
            }
        }

    }

    public class TryData
    {
        //这个数据在棋盘上的位置
        public int Row = 0;
        public int Col = 0;

        //当前取的第几个
        public int N = 0;
        //这个空符合的数据
        public ArrayList Al { get; set; }
    }

}

　　上一张运行的结果图片

基本上几次都是0.9秒左右