Line to Index -Index to Line

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Kishan

Well-known Member
Joined
Mar 15, 2011
Messages
1,648
Office Version
  1. 2010
Platform
  1. Windows
Hello To All,</SPAN></SPAN>

Here is a formula that extract the index of any combination is filled in cells A3:F5 from 1 to 49 numbers in sequence of 6 numbers.</SPAN></SPAN>
Given formula G3 will be copied down to G5</SPAN></SPAN>


A</SPAN></SPAN>
B</SPAN></SPAN>
C</SPAN></SPAN>
D</SPAN></SPAN>
E</SPAN></SPAN>
F</SPAN></SPAN>
G</SPAN></SPAN>
1</SPAN></SPAN>
Index</SPAN>
2</SPAN></SPAN>
n1</SPAN></SPAN>
n2</SPAN></SPAN>
n3</SPAN></SPAN>
n4</SPAN></SPAN>
n5</SPAN></SPAN>
n6</SPAN></SPAN>
Combination Index</SPAN></SPAN>
3</SPAN></SPAN>
1</SPAN></SPAN>
2</SPAN></SPAN>
3</SPAN></SPAN>
4</SPAN></SPAN>
5</SPAN></SPAN>
6</SPAN></SPAN>
1</SPAN></SPAN>
4</SPAN></SPAN>
1</SPAN></SPAN>
2</SPAN></SPAN>
3</SPAN></SPAN>
4</SPAN></SPAN>
5</SPAN></SPAN>
15</SPAN></SPAN>
10</SPAN></SPAN>
5</SPAN></SPAN>
44</SPAN></SPAN>
45</SPAN></SPAN>
46</SPAN></SPAN>
47</SPAN></SPAN>
48</SPAN></SPAN>
49</SPAN></SPAN>
13.983.816</SPAN></SPAN>

<TBODY>
[TD="colspan: 6"] Line To----></SPAN> </SPAN>
[/TD]

</TBODY>

Spreadsheet Formulas</SPAN>
Cell</SPAN></SPAN>
Formula</SPAN></SPAN>
G3</SPAN></SPAN>
=COMBIN(49,6)-IF(44-A3>0,COMBIN(49-A3,6),0)-IF(45-B3>0,COMBIN(49-B3,5),0)-IF(46-C3>0,COMBIN(49-C3,4),0)-IF(47-D3>0,COMBIN(49-D3,3),0)-IF(48-E3>0,COMBIN(49-E3,2),0)-IF(49-F3>0,COMBIN(49-F3,1),0)-0.000000002</SPAN></SPAN>

<TBODY>
</TBODY>


<TBODY>
</TBODY>


Now my request is there any formula or function</SPAN></SPAN>
If I enter in column A Index number then I can get corresponding combination in cells B3:G5 </SPAN></SPAN>


A</SPAN></SPAN>
B</SPAN></SPAN>
C</SPAN></SPAN>
D</SPAN></SPAN>
E</SPAN></SPAN>
F</SPAN></SPAN>
G</SPAN></SPAN>
1</SPAN></SPAN>
Index To-----></SPAN>
2</SPAN></SPAN>
Combination Index</SPAN></SPAN>
n1</SPAN></SPAN>
n2</SPAN></SPAN>
n3</SPAN></SPAN>
n4</SPAN></SPAN>
n5</SPAN></SPAN>
n6</SPAN></SPAN>
3</SPAN></SPAN>
1</SPAN></SPAN>





4</SPAN></SPAN>
10</SPAN></SPAN>





5</SPAN></SPAN>
13.983.816</SPAN></SPAN>






<TBODY>
[TD="colspan: 6"] Line</SPAN> </SPAN>
[/TD]

</TBODY>

Please Help</SPAN></SPAN>

Thanks In Advance,</SPAN></SPAN>
Kishan</SPAN></SPAN>
 

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Hello To All,</SPAN></SPAN>

In other world Index is the 6/49 lottery sequence where </SPAN></SPAN>
Sequence 1 represent to combination 1,2,3,4,5,6</SPAN></SPAN>
Sequence 10 represent to combination 1,2,3,4,5,15</SPAN></SPAN>
Sequence 13.983.816 represent to combination 44,45,46,47,48,49</SPAN></SPAN>

[TABLE="width: 352"]
<TBODY>[TR]
[TD]Index To-----></SPAN>
[/TD]
[TD="colspan: 6"]Line</SPAN></SPAN>
[/TD]
[/TR]
[TR]
[TD]Combination Index</SPAN>
[/TD]
[TD]n1</SPAN></SPAN>
[/TD]
[TD]n2</SPAN></SPAN>
[/TD]
[TD]n3</SPAN></SPAN>
[/TD]
[TD]n4</SPAN></SPAN>
[/TD]
[TD]n5</SPAN></SPAN>
[/TD]
[TD]n6</SPAN></SPAN>
[/TD]
[/TR]
[TR]
[TD]1</SPAN></SPAN>
[/TD]
[TD]
[/TD]
[TD]
[/TD]
[TD]
[/TD]
[TD]
[/TD]
[TD]
[/TD]
[TD]
[/TD]
[/TR]
[TR]
[TD]10</SPAN></SPAN>
[/TD]
[TD]
[/TD]
[TD]
[/TD]
[TD]
[/TD]
[TD]
[/TD]
[TD]
[/TD]
[TD]
[/TD]
[/TR]
[TR]
[TD]13.983.816</SPAN></SPAN>
[/TD]
[TD]
[/TD]
[TD]
[/TD]
[TD]
[/TD]
[TD]
[/TD]
[TD]
[/TD]
[TD]
[/TD]
[/TR]
</TBODY>[/TABLE]

So please need your help to have formula or UDF that can extract the combination of given sequence in 6 numbers.</SPAN></SPAN>

Thanks In Advance,</SPAN></SPAN>
Kishan</SPAN></SPAN>
 
Upvote 0
Hello To All,<o:p></o:p>
<o:p></o:p>
I found code which is below, that do the job extract the combination if I place in cell A1 the sequence.<o:p></o:p>
For example if I place 10 in cell A1 I get result 1,2,3,4,5,15 in Cells B1:G1 <o:p></o:p>
<o:p></o:p>
Rich (BB code):
Rich (BB code):
Rich (BB code): 
<o:p></o:p>
Rich (BB code): 
Option Explicit<o:p></o:p>
Dim A As Integer, B As Integer, C As Integer, D As Integer, E As Integer, F As Integer<o:p></o:p>
Dim nVal As Double, nLex As Double<o:p></o:p>
Sub LexToNumbers_For_6_49_Game()<o:p></o:p>
nVal = Range("A1").Value<o:p></o:p>
nLex = 0<o:p></o:p>
For A = 1 To 44<o:p></o:p>
For B = A + 1 To 45<o:p></o:p>
For C = B + 1 To 46<o:p></o:p>
For D = C + 1 To 47<o:p></o:p>
For E = D + 1 To 48<o:p></o:p>
For F = E + 1 To 49<o:p></o:p>
 <o:p></o:p>
nLex = nLex + 1<o:p></o:p>
If nLex = nVal Then<o:p></o:p>
Range("B1").Value = A<o:p></o:p>
Range("C1").Value = B<o:p></o:p>
Range("D1").Value = C<o:p></o:p>
Range("E1").Value = D<o:p></o:p>
Range("F1").Value = E<o:p></o:p>
Range("G1").Value = F<o:p></o:p>
 <o:p></o:p>
Exit Sub<o:p></o:p>
End If<o:p></o:p>
 <o:p></o:p>
Next F<o:p></o:p>
Next E<o:p></o:p>
Next D<o:p></o:p>
Next C<o:p></o:p>
Next B<o:p></o:p>
Next A<o:p></o:p>
End Sub<o:p></o:p>
<o:p></o:p>
<o:p></o:p>
My request is it possible to modified code if I place sequence in column cells A1:A100, so that I get all 100 set combination in cells B1:G100 at a time.<o:p></o:p>
<o:p></o:p>
Please help<o:p></o:p>
<o:p></o:p>
Thanks In Advance,<o:p></o:p>
Kishan
 
Upvote 0
Hello To All,<o:p></o:p>
<o:p></o:p>
Here is UDF<o:p></o:p>
<o:p></o:p>
Select and highlight the cells A1,B1,C1,D1,E1 In the formula bar type in the formula:
=Lex_2_Num(G1)

Do NOT press ENTER. Instead press Ctrl-Shift-Enter. The reason for this is that the formula is an Array formula which I mentioned earlier. You have to confirm Array formulas by pressing Ctrl-Shift-Enter instead of just Enter.

UDF Code:
Code: 
Function Lex_2_Num(LexVal As Long)
Dim A As Long
Dim B As Long
Dim C As Long
Dim D As Long
Dim E As Long
Dim n As Long
With Application
.ScreenUpdating = False: .Calculation = xlCalculationManual: .DisplayAlerts = False
End With
If LexVal < 1 Or LexVal > 575757 Then Exit Function
For A = 1 To 35
For B = A + 1 To 36
For C = B + 1 To 37
For D = C + 1 To 38
For E = D + 1 To 39
n = n + 1
If n = LexVal Then
Lex_2_Num = Array(A, B, C, D, E)
Exit Function
End If
Next
Next
Next
Next
Next
With Application
.DisplayAlerts = True: .Calculation = xlCalculationAutomatic: .ScreenUpdating = True
End With
End Function<o:p></o:p>[/FONT][/SIZE][/COLOR]
[COLOR=black][SIZE=3][FONT=Times New Roman]

Now when change the Lexicographic Index Number in cell G1 it will produce the combination in cells A1,B1,C1,D1,E1 relevant to that Lexicographic Index Number.

<o:p></o:p>
But still I need help to have VBA code with loop <o:p></o:p>
<o:p></o:p>
Thanks And Regards,<o:p></o:p>
Kishan<o:p></o:p>
 
Upvote 0
Hello To All,<o:p></o:p>
<o:p></o:p>
I found one link in this web, which is very useful (UDF written By Andrew Fergus)<o:p></o:p>
<o:p></o:p>
http://www.mrexcel.com/forum/excel-questions/287099-lexigraphic-lottery-values.html#post1410474<o:p></o:p>
<o:p></o:p>
Rich (BB code): 
<o:p></o:p>
Rich (BB code):
Rich (BB code):
Rich (BB code): 
Public Function DeriveCombo(Population As Long, Sample As Long, ComboNumber As Long) As String<o:p></o:p>
 <o:p></o:p>
Dim LoopCount As Long, PositionNum As Long, LastPosNumber As Long<o:p></o:p>
Dim Remainder As Long, tempVal As Long<o:p></o:p>
 <o:p></o:p>
LastPosNumber = 0<o:p></o:p>
PositionNum = 0<o:p></o:p>
Remainder = WorksheetFunction.Combin(Population, Sample)<o:p></o:p>
'Debug.Print Remainder; ComboNumber<o:p></o:p>
Do Until Remainder = ComboNumber<o:p></o:p>
    For LoopCount = LastPosNumber + 1 To Population<o:p></o:p>
        tempVal = WorksheetFunction.Combin(Population - LoopCount, Sample - PositionNum)<o:p></o:p>
        If CLng(Remainder - tempVal) >= ComboNumber Then<o:p></o:p>
            If PositionNum = 0 Then<o:p></o:p>
                DeriveCombo = LoopCount<o:p></o:p>
            Else<o:p></o:p>
                DeriveCombo = DeriveCombo & "," & LoopCount<o:p></o:p>
            End If<o:p></o:p>
            PositionNum = PositionNum + 1<o:p></o:p>
            LastPosNumber = LoopCount<o:p></o:p>
            Remainder = CLng(Remainder - tempVal)<o:p></o:p>
            'Debug.Print PositionNum; LastPosNumber; LoopCount; tempVal; Remainder<o:p></o:p>
            LoopCount = Population<o:p></o:p>
        End If<o:p></o:p>
    Next LoopCount<o:p></o:p>
    If Remainder = ComboNumber And PositionNum = Sample - 1 Then<o:p></o:p>
        DeriveCombo = DeriveCombo & "," & Population<o:p></o:p>
    End If<o:p></o:p>
Loop<o:p></o:p>
 <o:p></o:p>
End Function<o:p></o:p>
<o:p></o:p>
<o:p></o:p>
Formula: =DeriveCombo(49,6,10) to get the 10th combination 1,2,3,4,5,15<o:p></o:p>
<o:p></o:p>
With this Function it’s possible to adapt the different pool numbers for example 5/56 ,5/36 ,5/39 or 6/49 etc. and simply changing the value in cells according to their lotteries in my example in cells D and E without modifying the code for any lottery.<o:p></o:p>
It’s simply just entering any sequence in column A cells and you ge6t digit combinations in cells B, which correspond to their sequence. <o:p></o:p>
<o:p></o:p>
<o:p></o:p>
<o:p></o:p>
<o:p></o:p>​
A<o:p></o:p>​
B<o:p></o:p>​
C<o:p></o:p>​
D<o:p></o:p>​
E<o:p></o:p>​
1<o:p></o:p>​
5<o:p></o:p>​
56<o:p></o:p>​
2<o:p></o:p>​
3<o:p></o:p>​
4<o:p></o:p>​
5<o:p></o:p>​

<TBODY> [TD="bgcolor: transparent"]
1<o:p></o:p>​
[/TD]
[TD="bgcolor: transparent"]
1,2,3,4,5<o:p></o:p>​
[/TD]
[TD="bgcolor: transparent"] <o:p></o:p>
[/TD]
[TD="bgcolor: transparent"]
16<o:p></o:p>​
[/TD]
[TD="bgcolor: transparent"]
1,2,3,4,20<o:p></o:p>​
[/TD]
[TD="bgcolor: transparent"] <o:p></o:p>
[/TD]
[TD="bgcolor: transparent"] <o:p></o:p>
[/TD]
[TD="bgcolor: transparent"] <o:p></o:p>
[/TD]
[TD="bgcolor: transparent"]
27<o:p></o:p>​
[/TD]
[TD="bgcolor: transparent"]
1,2,3,4,31<o:p></o:p>​
[/TD]
[TD="bgcolor: transparent"] <o:p></o:p>
[/TD]
[TD="bgcolor: transparent"] <o:p></o:p>
[/TD]
[TD="bgcolor: transparent"] <o:p></o:p>
[/TD]
[TD="bgcolor: transparent"]
23504<o:p></o:p>​
[/TD]
[TD="bgcolor: transparent"]
1,2,36,38,49<o:p></o:p>​
[/TD]
[TD="bgcolor: transparent"] <o:p></o:p>
[/TD]
[TD="bgcolor: transparent"] <o:p></o:p>
[/TD]
[TD="bgcolor: transparent"] <o:p></o:p>
[/TD]
[TD="bgcolor: transparent"]
3.819.812<o:p></o:p>​
[/TD]
[TD="bgcolor: transparent"]
51,52,53,54,56<o:p></o:p>​
[/TD]
[TD="bgcolor: transparent"] <o:p></o:p>
[/TD]
[TD="bgcolor: transparent"] <o:p></o:p>
[/TD]
[TD="bgcolor: transparent"] <o:p></o:p>
[/TD]

</TBODY>
<o:p></o:p>

<TBODY>
[TD="bgcolor: transparent"] Spreadsheet Formulas <o:p></o:p>
[/TD]

[TD="bgcolor: transparent"]
Cell<o:p></o:p>
Formula<o:p></o:p>

<TBODY>
[TD="bgcolor: transparent"] B1<o:p></o:p>
[/TD]
[TD="bgcolor: transparent"] =DeriveCombo($E$1;$D$1;A1)<o:p></o:p>
[/TD]

[TD="bgcolor: transparent"] B2<o:p></o:p>
[/TD]
[TD="bgcolor: transparent"] =DeriveCombo($E$1;$D$1;A2)<o:p></o:p>
[/TD]

[TD="bgcolor: transparent"] B3<o:p></o:p>
[/TD]
[TD="bgcolor: transparent"] =DeriveCombo($E$1;$D$1;A3)<o:p></o:p>
[/TD]

[TD="bgcolor: transparent"] B4<o:p></o:p>
[/TD]
[TD="bgcolor: transparent"] =DeriveCombo($E$1;$D$1;A4)<o:p></o:p>
[/TD]

[TD="bgcolor: transparent"] B5<o:p></o:p>
[/TD]
[TD="bgcolor: transparent"] =DeriveCombo($E$1;$D$1;A5)<o:p></o:p>
[/TD]

</TBODY>
<o:p></o:p>
[/TD]

</TBODY>
<o:p></o:p>
<o:p></o:p>
Hope this will help to someone, <o:p></o:p>
<o:p></o:p>
Regards,<o:p></o:p>
Kishan<o:p></o:p>
 
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