我有一个程序可以扫描图像并将宝石转换为特定数字。看下面的图片：
所以我有一张带数字的桌子。1 代表黄色宝石，2 代表蓝色，以此类推...
像：
A B C D E
1 | 1 2 3 4 5
2 | 3 5 2 4 1
3 | 1 4 4 1 2
4 | 3 3 2 1 5
5 | 5 1 5 2 5
我想计算一个步骤，以水平或垂直获得 3 个相等的数字（宝石）。例如，在此表中，如果我将 E2 与 D2 交换，则 D2 将为 1，并且 D2、D3、D4 创建一个有效步骤，因为它都是 1。我使用的是 VB.NET 2010。
我的桌子是 8x8 大小，这只是上面的一个例子。
现在我只有多个变量中的值（A1 = 1，A2 = 3，等等..）
我希望你能理解我的问题，任何帮助将不胜感激。
干得好：
Module Module1
Sub Main()
Dim input = {{1, 3, 2, 4, 1, 1, 2, 1},
{1, 2, 5, 3, 2, 1, 3, 4},
{2, 1, 5, 4, 3, 2, 5, 4},
{3, 5, 1, 5, 2, 4, 1, 2},
{4, 2, 5, 1, 5, 2, 4, 2},
{2, 3, 2, 2, 5, 1, 3, 1},
{2, 1, 5, 4, 3, 2, 5, 4},
{3, 5, 1, 3, 2, 4, 1, 2}}
Console.WriteLine("INPUT:")
Console.Write(" |")
For i = 1 To input.GetLength(1)
Console.Write("{0,3}", GetColumnName(i))
Next
Console.Write(vbCrLf)
Console.Write("---+")
For i = 1 To input.GetLength(1)
Console.Write("---")
Next
Console.Write(vbCrLf)
For y = 0 To input.GetUpperBound(0)
Console.Write("{0,3}|", y + 1)
For x = 0 To input.GetUpperBound(1)
Console.Write("{0,3}", input(y, x))
Next
Console.Write(vbCrLf)
Next
Console.WriteLine("{0}{0}SOLUTION:", vbCrLf)
For Each match In Solve(input)
Console.WriteLine("Move {0} {1} for a match of {2}", match.Item1, match.Item2, match.Item3)
Next
Console.ReadLine()
End Sub
Function Solve(ByVal input As Integer(,)) As IEnumerable(Of Tuple(Of String, Char, Integer))
Dim matches As New List(Of Tuple(Of String, Char, Integer))
Dim result As Tuple(Of Boolean, Tuple(Of String, Char, Integer))
Dim test As Integer(,)
Dim maxX = input.GetUpperBound(0) - 1
Dim maxY = input.GetUpperBound(1) - 1
For x = 0 To maxX
For y = 0 To maxY
ReDim test(If(maxX - x > 4, 3, maxX - x), If(maxY - y > 4, 3, maxY - y))
For x1 = x To x + test.GetLength(0) - 1
For y1 = y To y + test.GetLength(1) - 1
test(x1 - x, y1 - y) = input(y1, x1)
Next
Next
'check if the result is a match
For Each result In {IsMatchOnThird(test), IsMatchOnSecond(test), IsMatchOnFirst(test)} '<-- Updated Line
If result.Item1 = True Then
Dim matchPoint = Tuple.Create(CInt(result.Item2.Item1.Split(","c)(0)),
CInt(result.Item2.Item1.Split(","c)(1)))
matches.Add(Tuple.Create(GetColumnName(matchPoint.Item1 + x + 1) & CStr(matchPoint.Item2 + y + 1),
result.Item2.Item2, result.Item2.Item3))
End If
Next
Next
Next
Return RemoveDuplicates(matches)
End Function
Public Function GetColumnName(ByVal colIndex As Integer) As String
Dim result As New List(Of String)
Do While colIndex > 0
result.Insert(0, Chr(65 + CInt((colIndex - 1) Mod 26)))
colIndex = (colIndex - 1) \ 26
Loop
Return String.Join("", result.ToArray)
End Function
Function RemoveDuplicates(ByVal list As IEnumerable(Of Tuple(Of String, Char, Integer))) As IEnumerable(Of Tuple(Of String, Char, Integer))
'remove those where gems and swap direction are the same
Dim l = (From i In list Order By i.Item3 Descending, i.Item1, i.Item2).ToList
For i = l.Count - 1 To 1 Step -1
If (l(i).Item1 = l(i - 1).Item1) AndAlso (l(i).Item2 = l(i - 1).Item2) Then
l.RemoveAt(i)
End If
Next
l = (From i In list Order By i.Item1, i.Item3 Descending).ToList
For i = l.Count - 1 To 1 Step -1
If (l(i).Item1 = l(i - 1).Item1) AndAlso (l(i).Item2 = l(i - 1).Item2) Then
l.RemoveAt(i)
End If
Next
Return From i In l Order By i.Item3 Descending, i.Item1
End Function
Function IsMatchOnThird(ByVal input As Integer(,)) As Tuple(Of Boolean, Tuple(Of String, Char, Integer))
Dim size = Math.Min(input.GetLength(0), 4).ToString & "C," & Math.Min(input.GetLength(1), 4).ToString & "R"
Dim i = input
Dim isValid = Function(test As Integer()) test.All(Function(v) v = test(0))
Select Case size
Case "4C,4R"
If isValid({i(0, 0), i(0, 1), i(1, 2)}) Then
Return Tuple.Create(True, Tuple.Create("1,2", "L"c, If(isValid({i(0, 0), i(0, 3)}), 4, 3)))
ElseIf isValid({i(1, 0), i(1, 1), i(0, 2)}) Then
Return Tuple.Create(True, Tuple.Create("0,2", "R"c, If(isValid({i(1, 0), i(1, 3)}), 4, 3)))
ElseIf isValid({i(0, 0), i(1, 0), i(2, 1)}) Then
Return Tuple.Create(True, Tuple.Create("2,1", "U"c, If(isValid({i(0, 1), i(3, 0)}), 4, 3)))
ElseIf isValid({i(0, 1), i(1, 1), i(2, 0)}) Then
Return Tuple.Create(True, Tuple.Create("2,0", "D"c, If(isValid({i(0, 1), i(3, 1)}), 4, 3)))
End If
Case "4C,3R"
If isValid({i(0, 0), i(0, 1), i(1, 2)}) Then
Return Tuple.Create(True, Tuple.Create("1,2", "L"c, 3))
ElseIf isValid({i(1, 0), i(1, 1), i(0, 2)}) Then
Return Tuple.Create(True, Tuple.Create("0,2", "R"c, 3))
ElseIf isValid({i(0, 0), i(1, 0), i(2, 1)}) Then
Return Tuple.Create(True, Tuple.Create("2,1", "U"c, If(isValid({i(0, 1), i(3, 0)}), 4, 3)))
ElseIf isValid({i(0, 1), i(1, 1), i(2, 0)}) Then
Return Tuple.Create(True, Tuple.Create("2,0", "D"c, If(isValid({i(0, 1), i(3, 1)}), 4, 3)))
End If
Case "4C,2R"
If isValid({i(0, 0), i(1, 0), i(2, 1)}) Then
Return Tuple.Create(True, Tuple.Create("2,1", "U"c, If(isValid({i(0, 1), i(3, 0)}), 4, 3)))
ElseIf isValid({i(0, 1), i(1, 1), i(2, 0)}) Then
Return Tuple.Create(True, Tuple.Create("2,0", "D"c, If(isValid({i(0, 1), i(3, 1)}), 4, 3)))
End If
Case "3C,4R"
If isValid({i(0, 0), i(0, 1), i(1, 2)}) Then
Return Tuple.Create(True, Tuple.Create("1,2", "L"c, If(isValid({i(0, 0), i(0, 3)}), 4, 3)))
ElseIf isValid({i(1, 0), i(1, 1), i(0, 2)}) Then
Return Tuple.Create(True, Tuple.Create("0,2", "R"c, If(isValid({i(1, 0), i(1, 3)}), 4, 3)))
ElseIf isValid({i(0, 0), i(1, 0), i(2, 1)}) Then
Return Tuple.Create(True, Tuple.Create("2,1", "U"c, 3))
ElseIf isValid({i(0, 1), i(1, 1), i(2, 0)}) Then
Return Tuple.Create(True, Tuple.Create("2,0", "D"c, 3))
End If
Case "3C,3R"
If isValid({i(0, 0), i(0, 1), i(1, 2)}) Then
Return Tuple.Create(True, Tuple.Create("1,2", "L"c, 3))
ElseIf isValid({i(1, 0), i(1, 1), i(0, 2)}) Then
Return Tuple.Create(True, Tuple.Create("0,2", "R"c, 3))
ElseIf isValid({i(0, 0), i(1, 0), i(2, 1)}) Then
Return Tuple.Create(True, Tuple.Create("2,1", "U"c, 3))
ElseIf isValid({i(0, 1), i(1, 1), i(2, 0)}) Then
Return Tuple.Create(True, Tuple.Create("2,0", "D"c, 3))
End If
Case "3C,2R"
If isValid({i(0, 0), i(1, 0), i(2, 1)}) Then
Return Tuple.Create(True, Tuple.Create("2,1", "U"c, 3))
ElseIf isValid({i(0, 1), i(1, 1), i(2, 0)}) Then
Return Tuple.Create(True, Tuple.Create("2,0", "D"c, 3))
End If
Case "2C,4R"
If isValid({i(0, 0), i(0, 1), i(1, 1)}) Then
Return Tuple.Create(True, Tuple.Create("1,1", "L"c, If(isValid({i(0, 1), i(0, 3)}), 4, 3)))
ElseIf isValid({i(1, 0), i(1, 1), i(0, 2)}) Then
Return Tuple.Create(True, Tuple.Create("0,2", "R"c, If(isValid({i(1, 0), i(1, 3)}), 4, 3)))
End If
Case "2C,3R"
If isValid({i(0, 0), i(0, 1), i(1, 1)}) Then
Return Tuple.Create(True, Tuple.Create("1,1", "L"c, 3))
ElseIf isValid({i(1, 0), i(1, 1), i(0, 2)}) Then
Return Tuple.Create(True, Tuple.Create("0,2", "R"c, 3))
End If
End Select
Return Tuple.Create(False, Tuple.Create("None", "."c, 0))
End Function
Function IsMatchOnSecond(ByVal input As Integer(,)) As Tuple(Of Boolean, Tuple(Of String, Char, Integer))
Dim i = input
Dim isValid = Function(test As Integer()) test.All(Function(v) v = test(0))
Dim xLength = input.GetLength(0)
Dim yLength = input.GetLength(1)
If xLength >= 3 AndAlso yLength >= 3 Then
If isValid({i(0, 0), i(1, 1), i(0, 2)}) Then
Return Tuple.Create(True, Tuple.Create("1,1", "L"c, 3))
ElseIf isValid({i(1, 0), i(2, 1), i(1, 2)}) Then
Return Tuple.Create(True, Tuple.Create("2,1", "L"c, 3))
ElseIf isValid({i(1, 0), i(0, 1), i(1, 2)}) Then
Return Tuple.Create(True, Tuple.Create("0,1", "R"c, 3))
ElseIf isValid({i(2, 0), i(1, 1), i(2, 2)}) Then
Return Tuple.Create(True, Tuple.Create("1,1", "R"c, 3))
ElseIf isValid({i(0, 0), i(1, 1), i(2, 0)}) Then
Return Tuple.Create(True, Tuple.Create("1,1", "U"c, 3))
ElseIf isValid({i(0, 1), i(1, 2), i(2, 1)}) Then
Return Tuple.Create(True, Tuple.Create("1,2", "U"c, 3))
ElseIf isValid({i(0, 2), i(1, 1), i(2, 2)}) Then
Return Tuple.Create(True, Tuple.Create("1,1", "D"c, 3))
ElseIf isValid({i(0, 1), i(1, 0), i(2, 1)}) Then
Return Tuple.Create(True, Tuple.Create("1,0", "D"c, 3))
End If
End If
Return Tuple.Create(False, Tuple.Create("None", "."c, 0))
End Function
Private Function IsMatchOnFirst(ByVal input As Integer(,)) As Tuple(Of Boolean, Tuple(Of String, Char, Integer)) '<-- New method
Dim i = input
Dim isValid = Function(test As Integer()) test.All(Function(v) v = test(0))
Dim xLength = input.GetLength(0)
Dim yLength = input.GetLength(1)
If xLength >= 3 AndAlso yLength >= 3 Then
If isValid({i(0, 0), i(1, 1), i(1, 2)}) Then
Return Tuple.Create(True, Tuple.Create("0,0", "R"c, 3))
ElseIf isValid({i(1, 0), i(2, 1), i(2, 2)}) Then
Return Tuple.Create(True, Tuple.Create("1,0", "R"c, 3))
ElseIf isValid({i(2, 0), i(1, 1), i(1, 2)}) Then
Return Tuple.Create(True, Tuple.Create("2,0", "L"c, 3))
ElseIf isValid({i(1, 0), i(0, 1), i(0, 2)}) Then
Return Tuple.Create(True, Tuple.Create("1,0", "L"c, 3))
ElseIf isValid({i(0, 0), i(1, 1), i(2, 1)}) Then
Return Tuple.Create(True, Tuple.Create("0,0", "D"c, 3))
ElseIf isValid({i(0, 1), i(1, 2), i(2, 2)}) Then
Return Tuple.Create(True, Tuple.Create("0,1", "D"c, 3))
ElseIf isValid({i(0, 1), i(1, 0), i(2, 0)}) Then
Return Tuple.Create(True, Tuple.Create("0,1", "U"c, 3))
ElseIf isValid({i(0, 2), i(1, 1), i(2, 1)}) Then
Return Tuple.Create(True, Tuple.Create("0,2", "U"c, 3))
End If
End If
Return Tuple.Create(False, Tuple.Create("None", "."c, 0))
End Function
End Module
这是我使用的元组类。
顺便说一句：我从StackOverflow上的一个问题将它从 C# 转换为 VB.NET
Imports System.Collections.Generic
Public Class Tuple(Of T1, T2, T3)
Inherits Tuple(Of T1, T2)
Implements IEqualityComparer(Of Tuple(Of T1, T2, T3))
Private _third As T3
Public Sub New(ByVal item1 As T1, ByVal item2 As T2, ByVal item3 As T3)
MyBase.New(item1, item2)
_third = item3
End Sub
Public Property Item3() As T3
Get
Return _third
End Get
Private Set(ByVal value As T3)
_third = value
End Set
End Property
Public Overloads Function Equals(ByVal x As Tuple(Of T1, T2, T3), ByVal y As Tuple(Of T1, T2, T3)) As Boolean Implements IEqualityComparer(Of Tuple(Of T1, T2, T3)).Equals
Return EqualityComparer(Of T1).[Default].Equals(x.Item1, y.Item1) AndAlso EqualityComparer(Of T2).[Default].Equals(x.Item2, y.Item2) AndAlso EqualityComparer(Of T3).[Default].Equals(x.Item3, y.Item3)
End Function
Public Overrides Function Equals(ByVal obj As Object) As Boolean
Return TypeOf obj Is Tuple(Of T1, T2, T3) AndAlso Equals(Me, DirectCast(obj, Tuple(Of T1, T2, T3)))
End Function
Public Overloads Function GetHashCode(ByVal obj As Tuple(Of T1, T2, T3)) As Integer Implements IEqualityComparer(Of Tuple(Of T1, T2, T3)).GetHashCode
Return EqualityComparer(Of T1).[Default].GetHashCode(Item1) Xor EqualityComparer(Of T2).[Default].GetHashCode(Item2) Xor EqualityComparer(Of T3).[Default].GetHashCode(Item3)
End Function
Public Shared Shadows Operator =(ByVal left As Tuple(Of T1, T2, T3), ByVal right As Tuple(Of T1, T2, T3)) As Boolean
If DirectCast(left, Object) Is Nothing AndAlso DirectCast(right, Object) Is Nothing Then
Return True
End If
Return left.Equals(right)
End Operator
Public Shared Shadows Operator <>(ByVal left As Tuple(Of T1, T2, T3), ByVal right As Tuple(Of T1, T2, T3)) As Boolean
If DirectCast(left, Object) Is Nothing AndAlso DirectCast(right, Object) Is Nothing Then
Return False
End If
Return Not left.Equals(right)
End Operator
End Class
Public Class Tuple(Of T1, T2)
Implements IEqualityComparer(Of Tuple(Of T1, T2))
Public Property Item1() As T1
Get
Return _first
End Get
Private Set(ByVal value As T1)
_first = value
End Set
End Property
Private _first As T1
Public Property Item2() As T2
Get
Return _second
End Get
Private Set(ByVal value As T2)
_second = value
End Set
End Property
Private _second As T2
Public Sub New(ByVal item1 As T1, ByVal item2 As T2)
_first = item1
_second = item2
End Sub
Public Overloads Function Equals(ByVal x As Tuple(Of T1, T2), ByVal y As Tuple(Of T1, T2)) As Boolean Implements IEqualityComparer(Of Tuple(Of T1, T2)).Equals
Return EqualityComparer(Of T1).[Default].Equals(x.Item1, y.Item1) AndAlso EqualityComparer(Of T2).[Default].Equals(x.Item2, y.Item2)
End Function
Public Overrides Function Equals(ByVal obj As Object) As Boolean
Return TypeOf obj Is Tuple(Of T1, T2) AndAlso Equals(Me, DirectCast(obj, Tuple(Of T1, T2)))
End Function
Public Overloads Function GetHashCode(ByVal obj As Tuple(Of T1, T2)) As Integer Implements IEqualityComparer(Of Tuple(Of T1, T2)).GetHashCode
Return EqualityComparer(Of T1).[Default].GetHashCode(Item1) Xor EqualityComparer(Of T2).[Default].GetHashCode(Item2)
End Function
Public Shared Operator =(ByVal left As Tuple(Of T1, T2), ByVal right As Tuple(Of T1, T2)) As Boolean
If DirectCast(left, Object) Is Nothing AndAlso DirectCast(right, Object) Is Nothing Then
Return True
End If
Return left.Equals(right)
End Operator
Public Shared Operator <>(ByVal left As Tuple(Of T1, T2), ByVal right As Tuple(Of T1, T2)) As Boolean
If DirectCast(left, Object) Is Nothing AndAlso DirectCast(right, Object) Is Nothing Then
Return False
End If
Return Not left.Equals(right)
End Operator
End Class
Public MustInherit Class Tuple
<DebuggerStepThrough()> _
Public Shared Function Create(Of T1, T2)(ByVal first As T1, ByVal second As T2) As Tuple(Of T1, T2)
Return New Tuple(Of T1, T2)(first, second)
End Function
<DebuggerStepThrough()> _
Public Shared Function Create(Of T1, T2, T3)(ByVal first As T1, ByVal second As T2, ByVal third As T3) As Tuple(Of T1, T2, T3)
Return New Tuple(Of T1, T2, T3)(first, second, third)
End Function
End Class
运行应用程序给出以下输出：
输入： | ABCDEFGH ---+------------ 1| 1 3 2 4 1 1 2 1 2| 1 2 5 3 2 1 3 4 3| 2 1 5 4 3 2 5 4 4| 3 5 1 5 2 4 1 2 5| 4 2 5 1 5 2 4 2 6| 2 3 2 2 5 1 3 1 7| 2 1 5 4 3 2 5 4 8| 3 5 1 3 2 4 1 2 解决方案： 移动 B4 R 进行 4 场比赛 移动 D4 L 进行 4 场比赛 移动 B3 L 进行 3 场比赛 移动 B5 D 进行 3 场比赛 移动 C3 D 进行 3 场比赛 移动 C5 U 进行 3 场比赛 移动 D4 D 进行 3 场比赛 移动 E4 R 进行 3 场比赛 移动 F3 L 进行 3 场比赛
该程序适用于任何尺寸的电路板。该程序基于我在游戏中搜索匹配项的方式（我认为这是蛮力）。
编辑
看来求解器无法在第一个 gem 上找到匹配项（请参见下面的示例）。
5、2、5 2、5、3 1、5、4
如果将算法应用于上述示例，将找不到匹配项。
我现在已经解决了。现在有一种IsMatchOnFirst()方法可以处理这些情况。
有关更改，请参阅更新的代码。
您想在一行中包含三个（或更多）数字，因此请执行以下操作：
邻域定义如下：
0
0x0 x is the central point, 0 are the neighbours.
0
例如
_____
__0__ 0 represents the line found
__0__
_X___ X represents the element that would augment the line.
_____