vb.net - gem 游戏步骤计算，换句话说一些数学-6ren

vb.net - gem 游戏步骤计算，换句话说一些数学

转载作者：塔克拉玛干更新时间：2023-11-03 06:34:29

我有一个程序可以扫描图像并将 gem 转换为特定数字。看下图:

enter image description here

所以我有一张带有数字的表格。数字 1 代表黄色 gem ，2 代表蓝色，等等......

喜欢:

    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，在水平或垂直方向上获得 3 个相等的数字( gem )。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 将创建一个有效步骤，因为它们都是 1。我使用的是 VB.NET 2010。

我的表格是 8x8 大小，上面只是一个例子。

现在我只有多个变量的值(A1=1，A2=3，等等......)

希望您能理解我的问题，我们将不胜感激。

最佳答案

给你:

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 上的一个问题将其从 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:

INPUT:   |  A  B  C  D  E  F  G  H---+------------------------  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  2SOLUTION:Move B4 R for a match of 4Move D4 L for a match of 4Move B3 L for a match of 3Move B5 D for a match of 3Move C3 D for a match of 3Move C5 U for a match of 3Move D4 D for a match of 3Move E4 R for a match of 3Move F3 L for a match of 3

此程序适用于任何电路板尺寸。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
求解器似乎无法在第一个 gem 上找到匹配项(请参见下面的示例)。

5, 2, 52, 5, 31, 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。现在有一个 IsMatchOnFirst() 方法来处理这些情况。
请参阅更新的代码以了解更改。

关于vb.net - gem 游戏步骤计算，换句话说一些数学，我们在Stack Overflow上找到一个类似的问题： https://stackoverflow.com/questions/5139358/

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