数独游戏 在9x9的方格内进行, 分为3x3的小方格,被称为“区”。
数独游戏首先从已经填入数字的格子开始。
数独游戏的目的是根据下列规则,用1至9之间的数字填满空格:
每个数字在每一行、每一列和每一区只能出现一次。
我在 Linux 服务器(请参见“在 Linux 下运行 ASP.NET 2.0”)上用 ASP.NET 2.0 实现了一个数独解算器。
http://www.sudoku.name 网站上也有一个用户界面相当不错的“数独解算器” ,但是其算法太差了,运算速度比我的算法慢多了。以其网站上的“#5328”谜题(也是我的数独解算器的例题)为例,它需要大约四个小时才能给出答案,而我的解算器不到一秒钟就可以给出答案。从它的运算过程来算,估计是逐个空格进行解算。而我的算法是先找出能填入数字个数最少的空格进行解算。算法这个微小的改进,就极大地提高了计算效率。好了,废话少说,下面就是源程序:
1. sudoku.aspx:
2. sudoku.aspx.cs:
3. sudoku.cs:
以上代码都很简单,也不需要再另外解说了。
数独游戏首先从已经填入数字的格子开始。
数独游戏的目的是根据下列规则,用1至9之间的数字填满空格:
每个数字在每一行、每一列和每一区只能出现一次。
我在 Linux 服务器(请参见“在 Linux 下运行 ASP.NET 2.0”)上用 ASP.NET 2.0 实现了一个数独解算器。
http://www.sudoku.name 网站上也有一个用户界面相当不错的“数独解算器” ,但是其算法太差了,运算速度比我的算法慢多了。以其网站上的“#5328”谜题(也是我的数独解算器的例题)为例,它需要大约四个小时才能给出答案,而我的解算器不到一秒钟就可以给出答案。从它的运算过程来算,估计是逐个空格进行解算。而我的算法是先找出能填入数字个数最少的空格进行解算。算法这个微小的改进,就极大地提高了计算效率。好了,废话少说,下面就是源程序:
1. sudoku.aspx:
1
<%@ Page Language="C#" inherits="Skyiv.Ben.Web.SudokuPage" %>
2
<!DOCTYPE html PUBLIC "-//W3C//DTD XHTML 1.0 Transitional//EN"
"http://www.w3.org/TR/xhtml1/DTD/xhtml1-transitional.dtd">
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<html xmlns="http://www.w3.org/1999/xhtml" >
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<head runat="server">
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<title>银河 - 数独</title>
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</head>
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<body>
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<form id="form1" runat="server">
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<asp:Button Text="返回" OnClick="BtnUriHome_Click" runat="server" />
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<asp:Button Text="开始" OnClick="BtnSubmit_Click" runat="server" />
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<hr />
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<div>
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<a href="http://www.sudoku.name/index-cn.php" target="_blank">数独游戏</a>
14
在9x9的方格内进行, 分为3x3的小方格,被称为“区”。<br />
15
数独游戏首先从已经填入数字的格子开始。<br />
16
数独游戏的目的是根据下列规则,用1至9之间的数字填满空格:<br />
17
每个数字在每一行、每一列和每一区只能出现一次。<br />
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</div>
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<div>
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<asp:TextBox Runat="Server" Id="tbxInput" MaxLength="512" Wrap="False"
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TextMode="MultiLine" Columns="15" Rows="14" />
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<asp:TextBox Runat="Server" Id="tbxOutput" ReadOnly="True" Wrap="False"
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TextMode="MultiLine" Columns="15" Rows="14" />
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</div>
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</form>
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</body>
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</html>
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2. sudoku.aspx.cs:
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using System;
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using System.IO;
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using System.Web.UI;
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using System.Web.UI.WebControls;
5
using Skyiv.Ben.Etc;
6![](https://www.cnblogs.com/Images/OutliningIndicators/None.gif)
7
namespace Skyiv.Ben.Web
8
{
9
public class SudokuPage : Page
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{
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protected TextBox tbxInput;
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protected TextBox tbxOutput;
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public void Page_Load(object sender, EventArgs e)
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{
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if (IsPostBack) return;
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tbxInput.Text = "+---+---+---+\n|2..|
|
|\n|8..|1..|.2.|\n"
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+ "|..5|.7.|.3.|\n+---+---+---+\n|.7.|.3.|1..|\n|.9.|.4.|.8.|\n"
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+ "|..4|
|.7.|\n+---+---+---+\n|.3.|.9.|6..|\n|.8.|..5|..3|\n"
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+ "|
|
|..5|\n+---+---+---+";
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}
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public void BtnUriHome_Click(object sender, EventArgs e)
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{
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Response.Redirect(Pub.UriHome);
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}
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public void BtnSubmit_Click(object sender, EventArgs e)
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{
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try
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{
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Sudoku sudoku = new Sudoku(new StringReader(tbxInput.Text));
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StringWriter writer = new StringWriter();
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sudoku.Out(writer);
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tbxOutput.Text = writer.ToString();
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}
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catch (Exception ex)
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{
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tbxOutput.Text = "Error: " + ex.Message;
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}
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}
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}
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}
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3. sudoku.cs:
1
using System;
2
using System.IO;
3
using System.Collections.Generic;
4![](https://www.cnblogs.com/Images/OutliningIndicators/None.gif)
5
namespace Skyiv.Ben.Etc
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{
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sealed class Sudoku
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{
9
byte[,] input, output;
10
int steps = 0;
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public Sudoku(TextReader reader)
13
{
14
input = new byte[9, 9];
15
for (int y = 0; y < 9; )
16
{
17
string s = reader.ReadLine();
18
if (s == null) break;
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s = s.Replace('.', '0');
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int x = 0;
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for (int i = 0; i < s.Length; i++)
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if (Char.IsDigit(s, i) && x < 9) input[x++, y] = (byte)(s[i] - '0');
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if (x != 0) y++;
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}
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}
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public void Out(TextWriter writer)
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{
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Compute(input);
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Out(writer, output);
31
}
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void Out(TextWriter writer, byte[,] output)
34
{
35
for (int y = 0; y <= output.GetLength(1); y++)
36
{
37
if (y % 3 == 0) writer.WriteLine("+---+---+---+");
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if (y >= output.GetLength(1)) break;
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for (int x = 0; x <= output.GetLength(0); x++)
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{
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if (x % 3 == 0) writer.Write('|');
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if (x >= output.GetLength(0)) break;
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writer.Write((output[x, y] == 0) ? '.' : (char)(output[x, y] + '0'));
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}
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writer.WriteLine();
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}
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}
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bool Compute(byte[,] input)
50
{
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List<byte[,]> list = StepIt(input);
52
if (list == null) return true;
53
foreach (byte[,] temp in list) if (Compute(temp)) return true;
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return false;
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}
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// return null for finish
58
List<byte[,]> StepIt(byte[,] input)
59
{
60
if (steps++ > 100000) throw new Exception("太复杂了");
61
output = input;
62
int theX = -1, theY = -1;
63
byte[] theDigits = null;
64
for (int y = 0; y < input.GetLength(1); y++)
65
{
66
for (int x = 0; x < input.GetLength(0); x++)
67
{
68
if (input[x, y] != 0) continue;
69
byte[] digits = GetDigits(input, x, y);
70
if (digits.Length == 0) return new List<byte[,]>();
71
if (theDigits != null && theDigits.Length <= digits.Length) continue;
72
theX = x;
73
theY = y;
74
theDigits = digits;
75
}
76
}
77
if (theDigits == null) return null;
78
List<byte[,]> result = new List<byte[,]>();
79
foreach (byte digit in theDigits)
80
{
81
byte[,] temp = (byte[,])input.Clone();
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temp[theX, theY] = digit;
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result.Add(temp);
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}
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return result;
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}
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byte[] GetDigits(byte[,] input, int x, int y)
89
{
90
bool[] mask = new bool[10];
91
for (int i = 0; i < 9; i++)
92
{
93
mask[input[x, i]] = true;
94
mask[input[i, y]] = true;
95
}
96
for (int i = x / 3 * 3; i < x / 3 * 3 + 3; i++)
97
for (int j = y / 3 * 3; j < y / 3 * 3 + 3; j++)
98
mask[input[i, j]] = true;
99
List<byte> list = new List<byte>();
100
for (int i = 1; i < mask.Length; i++) if (!mask[i]) list.Add((byte)i);
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return list.ToArray();
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}
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}
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}
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82
![](https://www.cnblogs.com/Images/OutliningIndicators/InBlock.gif)
83
![](https://www.cnblogs.com/Images/OutliningIndicators/InBlock.gif)
84
![](https://www.cnblogs.com/Images/OutliningIndicators/ExpandedSubBlockEnd.gif)
85
![](https://www.cnblogs.com/Images/OutliningIndicators/InBlock.gif)
86
![](https://www.cnblogs.com/Images/OutliningIndicators/ExpandedSubBlockEnd.gif)
87
![](https://www.cnblogs.com/Images/OutliningIndicators/InBlock.gif)
88
![](https://www.cnblogs.com/Images/OutliningIndicators/InBlock.gif)
89
![](https://www.cnblogs.com/Images/OutliningIndicators/ExpandedSubBlockStart.gif)
90
![](https://www.cnblogs.com/Images/OutliningIndicators/InBlock.gif)
91
![](https://www.cnblogs.com/Images/OutliningIndicators/InBlock.gif)
92
![](https://www.cnblogs.com/Images/OutliningIndicators/ExpandedSubBlockStart.gif)
93
![](https://www.cnblogs.com/Images/OutliningIndicators/InBlock.gif)
94
![](https://www.cnblogs.com/Images/OutliningIndicators/InBlock.gif)
95
![](https://www.cnblogs.com/Images/OutliningIndicators/ExpandedSubBlockEnd.gif)
96
![](https://www.cnblogs.com/Images/OutliningIndicators/InBlock.gif)
97
![](https://www.cnblogs.com/Images/OutliningIndicators/InBlock.gif)
98
![](https://www.cnblogs.com/Images/OutliningIndicators/InBlock.gif)
99
![](https://www.cnblogs.com/Images/OutliningIndicators/InBlock.gif)
100
![](https://www.cnblogs.com/Images/OutliningIndicators/InBlock.gif)
101
![](https://www.cnblogs.com/Images/OutliningIndicators/InBlock.gif)
102
![](https://www.cnblogs.com/Images/OutliningIndicators/ExpandedSubBlockEnd.gif)
103
![](https://www.cnblogs.com/Images/OutliningIndicators/ExpandedSubBlockEnd.gif)
104
![](https://www.cnblogs.com/Images/OutliningIndicators/ExpandedBlockEnd.gif)
105
![](https://www.cnblogs.com/Images/OutliningIndicators/None.gif)
以上代码都很简单,也不需要再另外解说了。