Finding unique partitions for a number - unique

Question

I am using below code for finding partitions for a given number (N). How can I ensure only unique partitions? For instance partitions (1, 1, 1, 7), (1, 1, 7, 1), (1, 7, 1, 1) and (7, 1, 1, 1) would be considered the same and only one of these should be output.
Thanks
Regards
Dim N = 10
For i As Integer = 0 To N
For j As Integer = 0 To N
For k As Integer = 0 To N
For l As Integer = 0 To N
If i + j + k + l = N Then
Dim St As String = String.Format("({0:d}, {1:d}, {2:d}, {3:d})", i, j, k, l)
Console.WriteLine(St)
End If
Next
Next
Next
Next
Console.Read()
EDIT: Below seems to be working from someone's suggestion;
Module Module1
Sub Main()
Console.WriteLine("Please enter an integer.")
Dim sReadLine As String = Console.ReadLine()
Dim iValue As Integer
If IsNumeric(sReadLine) Then
iValue = CInt(sReadLine)
Else
Console.WriteLine("'" & sReadLine & "' is not a numeric value. Press any key to exit.")
'Application.Exit()
Console.Read()
Exit Sub
End
End If
Console.Clear()
Console.WriteLine("Number is {0}", iValue)
Console.WriteLine("")
Partitions1(iValue)
Exit Sub
End Sub
Dim partitions As New List(Of Part)
Private Sub Partitions1(N As Integer)
For i As Integer = 0 To N
For j As Integer = 0 To N
For k As Integer = 0 To N
For l As Integer = 0 To N
If i + j + k + l = N Then
Dim thisPartition As New Part()
thisPartition.Parts = New Integer() {i, j, k, l}
If Not partitions.Contains(thisPartition) Then
partitions.Add(thisPartition)
End If
End If
Next
Next
Next
Next
For Each x In partitions
Dim St = "("
For Each y In x.Parts
St = St & y & ", "
Next
St = Left(St, Len(St) - 2)
St = St & ")"
Console.WriteLine(St)
Next
Console.WriteLine("")
Console.WriteLine("{0} unique partititons found.", partitions.Count)
Console.Read()
End Sub
Public Class Part 'Sorted array of integer with comparer
Implements IEquatable(Of Part)
Public Property Parts As Integer()
Get
Return m_Parts
End Get
Set(value As Integer())
m_Parts = value
Array.Sort(m_Parts)
End Set
End Property
Private m_Parts As Integer()
Public Overloads Function Equals(other As Part) As Boolean _
Implements IEquatable(Of Part).Equals
If other Is Nothing Then
Return False
End If
If other.Parts.GetLength(0) <> m_Parts.GetLength(0) Then Return False
Dim result As Boolean = True
Array.Sort(other.Parts)
For I As Integer = 0 To other.Parts.GetLength(0) - 1
If other.Parts(I) <> m_Parts(I) Then
result = False
Exit For
End If
Next
Return result
End Function
' Should also override == and != operators.
End Class
End Module

Answer 1

Collect the found solutions in a list, then writen an algo which eliminates the duplicates from the list and then print the list.