M
Maxi
Ekim from MrExcel.com 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
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