Integer Partition without repetition output Error

Juggler_IN

Active Member
Joined
Nov 19, 2014
Messages
349
Office Version
  1. 2003 or older
Platform
  1. Windows
I failed to replicate a subroutine which prints integer partitions (without repetitions) to a sheet FOR "integer compositions" (without repetitions).

Integer compositions without repetitions calculator reference link: IntCwr.

My code for integer partitions (without repetitions):
VBA Code:
Public Sub intComposition_WR( _
       ByVal n As Long, _
       ByVal k As Long, _
       ByVal x As String)
    
    Dim i As Long, j As Long

    If n = 0& Then
        i = Worksheets("Sheet1").Cells(Worksheets("Sheet1").Rows.count, "A").End(xlUp).Row + 1&
        Worksheets("Sheet1").Cells(i, "A") = "'" & x
    Else
        For j = 1& To VBA.IIf(k < n, k, n)
            If VBA.InStr(x & " ", " " & j & " ") = 0 Then intComposition_WR n - j, VBA.IIf(k < n, n - j, k - j), x & " " & j
        Next j
    End If

End Sub
Sub Test_intComposition_WR()

intComposition_WR 6, 6, ""

End Sub

My function for the COUNT of "integer compositions" (without repetitions) is:
VBA Code:
Function intPartition_WR_Count(n As Long, Optional i As Long = 1) As Long

For i = i To (n - 1) \ 2
    intPartition_WR_Count = intPartition_WR_Count + intPartition_WR_Count(n - i, i + 1)
Next i

intPartition_WR_Count = intPartition_WR_Count + 1

End Function

How can the intComposition_WR code be modified to output the intPartition_WR sequences for N = a user input integer. Where count of sequences for N is given by the function intPartition_WR_Count.
 

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