How to resolve the algorithm World Cup group stage step by step in the Visual Basic .NET programming language

Published on 12 May 2024 09:40 PM

How to resolve the algorithm World Cup group stage step by step in the Visual Basic .NET programming language

Table of Contents

Problem Statement

It's World Cup season (or at least it was when this page was created)! The World Cup is an international football/soccer tournament that happens every 4 years.   Countries put their international teams together in the years between tournaments and qualify for the tournament based on their performance in other international games.   Once a team has qualified they are put into a group with 3 other teams. For the first part of the World Cup tournament the teams play in "group stage" games where each of the four teams in a group plays all three other teams once.   The results of these games determine which teams will move on to the "knockout stage" which is a standard single-elimination tournament.   The two teams from each group with the most standings points move on to the knockout stage. Each game can result in a win for one team and a loss for the other team or it can result in a draw/tie for each team.

Don't worry about tiebreakers as they can get complicated.   We are basically looking to answer the question "if a team gets x standings points, where can they expect to end up in the group standings?". Hint: there should be no possible way to end up in second place with less than two points as well as no way to end up in first with less than three.   Oddly enough, there is no way to get 8 points at all.

Let's start with the solution:

Step by Step solution about How to resolve the algorithm World Cup group stage step by step in the Visual Basic .NET programming language

Source code in the visual programming language

Imports System.Text

Module Module1

    Dim games As New List(Of String) From {"12", "13", "14", "23", "24", "34"}
    Dim results = "000000"

    Function FromBase3(num As String) As Integer
        Dim out = 0
        For Each c In num
            Dim d = Asc(c) - Asc("0"c)
            out = 3 * out + d
        Next
        Return out
    End Function

    Function ToBase3(num As Integer) As String
        Dim ss As New StringBuilder

        While num > 0
            Dim re = num Mod 3
            num \= 3
            ss.Append(re)
        End While

        Return New String(ss.ToString().Reverse().ToArray())
    End Function

    Function NextResult() As Boolean
        If results = "222222" Then
            Return False
        End If

        Dim res = FromBase3(results)

        Dim conv = ToBase3(res + 1)
        results = conv.PadLeft(6, "0"c)

        Return True
    End Function

    Sub Main()
        Dim points(0 To 3, 0 To 9) As Integer
        Do
            Dim records(0 To 3) As Integer
            For index = 0 To games.Count - 1
                Select Case results(index)
                    Case "2"c
                        records(Asc(games(index)(0)) - Asc("1"c)) += 3
                    Case "1"c
                        records(Asc(games(index)(0)) - Asc("1"c)) += 1
                        records(Asc(games(index)(1)) - Asc("1"c)) += 1
                    Case "0"c
                        records(Asc(games(index)(1)) - Asc("1"c)) += 3
                End Select
            Next

            Array.Sort(records)
            For index = 0 To records.Length - 1
                Dim t = records(index)
                points(index, t) += 1
            Next
        Loop While NextResult()

        Console.WriteLine("POINTS       0    1    2    3    4    5    6    7    8    9")
        Console.WriteLine("-------------------------------------------------------------")
        Dim places As New List(Of String) From {"1st", "2nd", "3rd", "4th"}
        For i = 0 To places.Count - 1
            Console.Write("{0} place", places(i))
            For j = 0 To 9
                Console.Write("{0,5}", points(3 - i, j))
            Next
            Console.WriteLine()
        Next
    End Sub

End Module


  

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