I guess only super computer can solve this

M

Maxi

Ekim from MrExcel has directed me to a below given code
form Myrna Larson (Microsoft MVP). I want some
modifications done to that code.

What I did is:
--------------
1. Typed "C" in cell A1 of Sheet1
2. Typed "4" in cell A2 of sheet1
3. Typed 1, 4, 5, 19, 21, 24, 30, 31, 37, 40, 44, 46, 48,
50, 53, 57, 58, 62, 72 & 76 vertically in the range A3:A22
4. Ran the ListPermutationsOrCombinations() Macro
5. Got 4845 combinations in sheet4 i.e., all combinations
of 4 each of the above provided numbers in step # 3

Similarly I want to make all combinations of 80 numbers of
8 each i.e., combin(80,8)=28987537150 using the above
code. 28987537150 is a very big figure and will not fit in
Excel therefore I thought of narrowing it down.

What I did further is:
----------------------
1. Deleted everything from Sheet1. Kept the results of
sheet4 as it is.
2. Typed "C" in cell A1 of Sheet1
3. Typed "8" in cell A2 of sheet1
4. Typed numbers from 1-80 vertically in the range A3:A82
5. Ran the ListPermutationsOrCombinations() Macro but it
gave an error because 28987537150 result will not fit in
excel worksheet.


Criteria:
---------
If I want to get all combinations of 80 numbers of 8 each,
the below code will give the first combination as 1, 2, 3,
4, 5, 6, 7 & 8. Now before putting this combination in
Cell A1 of sheet 5, it should compare this combination of
8 numbers with all 4845 combinations that we have in
sheet4 (i.e., 1, 2, 3, 4, 5, 6, 7 & 8 will be compared
with 1, 4, 5 & 19 / 1, 4, 5 & 21 / 1, 4, 5 & 24 and so
on). If it finds atleast one combination out of those 4845
that has all 4 numbers present in this combination of 8
then only it should consider this combination and put it
in cell A1 of sheet5 else, go and check the next
combination i.e., 1, 2, 3, 4, 5, 6, 7 & 9. The loop should
continue till the 28987537150th (last) combination. For
instance, when you compare 1, 2, 3, 4, 5, 6, 7 & 8 with 1,
4, 5 & 19, only three numbers matches 1, 4 and 5. The 4th
number 19 is not present in the combination of 8 numbers
therefore this combination will not be considered valid
hence the loop should move to the next combination 1, 2,
3, 4, 5, 6, 7 & 9 and the same thing should happen till
the last combination (28987537150th)

I hope I have explained the scenerio in clear and simple
words. Can anyone edit the below code that satisfies my
criteria? Would appreciate if anyone helps me out for
looking up a workable solution for this.

Maxi

*****************************************************

Option Explicit

Dim vAllItems As Variant
Dim Buffer() As String
Dim BufferPtr As Long
Dim Results As Worksheet
'
' Myrna Larson, July 25, 2000, Microsoft.Public.Excel.Misc

Sub ListPermutationsOrCombinations()
Dim Rng As Range
Dim PopSize As Integer
Dim SetSize As Integer
Dim Which As String
Dim n As Double
Const BufferSize As Long = 4096

Worksheets("Sheet1").Range("A1").Select
Set Rng = Selection.Columns(1).Cells
If Rng.Cells.Count = 1 Then
Set Rng = Range(Rng, Rng.End(xlDown))
End If

PopSize = Rng.Cells.Count - 2
If PopSize < 2 Then GoTo DataError

SetSize = Rng.Cells(2).Value
If SetSize > PopSize Then GoTo DataError

Which = UCase$(Rng.Cells(1).Value)
Select Case Which
Case "C"
n = Application.WorksheetFunction.Combin(PopSize, SetSize)
Case "P"
n = Application.WorksheetFunction.Permut(PopSize, SetSize)
Case Else
GoTo DataError
End Select
If n > Cells.Count Then GoTo DataError

Application.ScreenUpdating = False

Set Results = Worksheets.Add

vAllItems = Rng.Offset(2, 0).Resize(PopSize).Value
ReDim Buffer(1 To BufferSize) As String
BufferPtr = 0

If Which = "C" Then
AddCombination PopSize, SetSize
Else
AddPermutation PopSize, SetSize
End If
vAllItems = 0

Application.ScreenUpdating = True
Exit Sub

DataError:
If n = 0 Then
Which = "Enter your data in a vertical range of at least 4
cells." _
& String$(2, 10) _
& "Top cell must contain the letter C or P, 2nd cell is
the Number" _
& "of items in a subset, the cells below are the values
from Which" _
& "the subset is to be chosen."

Else
Which = "This requires " & Format$(n, "#,##0") & _
" cells, more than are available on the worksheet!"
End If
MsgBox Which, vbOKOnly, "DATA ERROR"
Exit Sub
End Sub

Private Sub AddPermutation(Optional PopSize As Integer =
0, _
Optional SetSize As Integer = 0, _
Optional NextMember As Integer = 0)

Static iPopSize As Integer
Static iSetSize As Integer
Static SetMembers() As Integer
Static Used() As Integer
Dim i As Integer

If PopSize <> 0 Then
iPopSize = PopSize
iSetSize = SetSize
ReDim SetMembers(1 To iSetSize) As Integer
ReDim Used(1 To iPopSize) As Integer
NextMember = 1
End If

For i = 1 To iPopSize
If Used(i) = 0 Then
SetMembers(NextMember) = i
If NextMember <> iSetSize Then
Used(i) = True
AddPermutation , , NextMember + 1
Used(i) = False
Else
SavePermutation SetMembers()
End If
End If
Next i

If NextMember = 1 Then
SavePermutation SetMembers(), True
Erase SetMembers
Erase Used
End If

End Sub 'AddPermutation

Private Sub AddCombination(Optional PopSize As Integer =
0, _
Optional SetSize As Integer = 0, _
Optional NextMember As Integer = 0, _
Optional NextItem As Integer = 0)

Static iPopSize As Integer
Static iSetSize As Integer
Static SetMembers() As Integer
Dim i As Integer

If PopSize <> 0 Then
iPopSize = PopSize
iSetSize = SetSize
ReDim SetMembers(1 To iSetSize) As Integer
NextMember = 1
NextItem = 1
End If

For i = NextItem To iPopSize
SetMembers(NextMember) = i
If NextMember <> iSetSize Then
AddCombination , , NextMember + 1, i + 1
Else
SavePermutation SetMembers()
End If
Next i

If NextMember = 1 Then
SavePermutation SetMembers(), True
Erase SetMembers
End If

End Sub 'AddCombination

Private Sub SavePermutation(ItemsChosen() As Integer, _
Optional FlushBuffer As Boolean = False)

Dim i As Integer, sValue As String
Static RowNum As Long, ColNum As Long

If RowNum = 0 Then RowNum = 1
If ColNum = 0 Then ColNum = 1

If FlushBuffer = True Or BufferPtr = UBound(Buffer()) Then
If BufferPtr > 0 Then
If (RowNum + BufferPtr - 1) > Rows.Count Then
RowNum = 1
ColNum = ColNum + 1
If ColNum > 256 Then Exit Sub
End If

Results.Cells(RowNum, ColNum).Resize(BufferPtr, 1).Value _
= Application.WorksheetFunction.Transpose(Buffer())
RowNum = RowNum + BufferPtr
End If

BufferPtr = 0
If FlushBuffer = True Then
Erase Buffer
RowNum = 0
ColNum = 0
Exit Sub
Else
ReDim Buffer(1 To UBound(Buffer))
End If

End If

'construct the next set
For i = 1 To UBound(ItemsChosen)
sValue = sValue & ", " & vAllItems(ItemsChosen(i), 1)
Next i

'and save it in the buffer
BufferPtr = BufferPtr + 1
Buffer(BufferPtr) = Mid$(sValue, 3)
End Sub 'SavePermutation
 
J

JE McGimpsey

What are you doing with that many combinations? You almost certainly do
not have enough memory or disk resources to work with that much data,
nor will XL gladly handle the thousands of worksheets you'll need.

I can't help but think that if you're doing something meaningful that
analytical methods would work better.
 

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