P
Paul Black
Hi Everyone,
This is Lotto Based.
There is a System in Lotto called "Wheels".
A Lotto Wheeling System is a Special Pattern to Arrange Numbers into
Combinations. This System can be Used Over and Over again with Different
Numbers. A Lotto Wheel is Constructed in such a way that if the Winning
Numbers Fall in the Group of Numbers you have Selected, you will Always
have a Winning Combination Somewhere. If for Example, you have a Group
of 12 Numbers then the Lotto Wheel you Select should have the Numbers
1-12 Arranged in Sets of Numbers ( Each Set is 6 Numbers ). You then
take the Wheel and Substitute your Numbers in the Wheels Pattern and
Simply Replace all the 1's in the Pattern with your First Number, all
the 2's with your Second Number, all the 3's with your Third Number,
etc. All Wheels give a Guarantee. For Example, the Wheel 24,6,3,6,50
Means, there are 24 Different Numbers Used in the Wheel, there are 6
Numbers Drawn, the Guarantee of having 3 Numbers in at Least 1
Combination if ALL the 6 Numbers Drawn are in the Selected 24 Numbers.
I have a Set of 6 Number Combinations in Cells "G13:L27" ( the Number of
Combinations could be More or Less ).
In this Example I am Using a Wheel with 24 Numbers :-
1,3,7,12,15,16
1,4,5,17,20,21
1,8,9,10,19,22
1,13,14,18,23,24
2,3,6,9,21,23
2,10,12,14,16,20
2,11,15,19,20,24
3,4,7,10,18,24
3,5,7,14,17,19
4,6,8,14,15,22
4,9,11,13,16,19
5,10,13,15,17,23
5,11,12,18,21,22
6,8,12,16,17,24
7,8,13,20,22,23
Here is the Code that someone has Kindly Provided which Cycles through
ALL Combinations and Compares ALL the Combinations with ALL the
Combinations in the Above Wheel. The Below Code Finds the Coverage (
Total Combinations ) of 5 Numbers if 5 Numbers are Matched …
Code:
Sub test_5()
Dim a, dic As Object
Set dic = CreateObject("Scripting.Dictionary")
a = Range("g13").CurrentRegion.Value
For i = 1 To UBound(a, 1)
For ii = 1 To 2
For iii = ii + 1 To 3
For iv = iii + 1 To 4
For v = iv + 1 To 5
For vi = v + 1 To 6
z = a(i, ii) & "," & a(i, iii) & a(i, iv) & a(i,
v) & a(i, vi)
If Not dic.exists(z) Then
dic.Add z, Nothing
n = n + 1
End If
Next vi, v, iv, iii, ii, i
Set dic = Nothing
Range("O16") = n
End Sub
… and Produces the Correct Result of 90.
How can the Code be Modified to Also Produce the Combinations Covered
for the Categories …
Matched = Covered Combinations
2 if 5 = 42,504
3 if 5 = 35,720
4 if 5 = 4,140
5 if 5 = 90 ( the Code Already Provides this Result )
… Please.
I was Told for the Interpretation of the 3 if 5 Category that you Need
to Cycle through ALL 5 Number Combinations that can be Constructed from
the Total Numbers Used in the Wheel ( 24 in this Case ). So if the Wheel
Contains "x" Unique Numbers, you Need to Cycle through ALL 5 Number
Combinations from those "x" Numbers. Then you Need to Scan the Wheel for
Each 5 Number Combination Produced and Compare it with Each Line in the
Wheel to see if that Line Matches the 5 Number Combination in *EXACTLY*
3 Numbers. If it does, then that Combination of 3 if 5 is Covered and
Added to the Total and there is NO Need to Continue to Check for that
Particular Combination Any Further. You then go onto the Next
Combination to Check and so on Until ALL Combinations have been Cycled
through and Checked with the Wheel.
I Hope I have Explained this Clear Enough.
Many Thanks in Advance.
All the Best.
Paul
*** Sent via Developersdex http://www.developersdex.com ***
This is Lotto Based.
There is a System in Lotto called "Wheels".
A Lotto Wheeling System is a Special Pattern to Arrange Numbers into
Combinations. This System can be Used Over and Over again with Different
Numbers. A Lotto Wheel is Constructed in such a way that if the Winning
Numbers Fall in the Group of Numbers you have Selected, you will Always
have a Winning Combination Somewhere. If for Example, you have a Group
of 12 Numbers then the Lotto Wheel you Select should have the Numbers
1-12 Arranged in Sets of Numbers ( Each Set is 6 Numbers ). You then
take the Wheel and Substitute your Numbers in the Wheels Pattern and
Simply Replace all the 1's in the Pattern with your First Number, all
the 2's with your Second Number, all the 3's with your Third Number,
etc. All Wheels give a Guarantee. For Example, the Wheel 24,6,3,6,50
Means, there are 24 Different Numbers Used in the Wheel, there are 6
Numbers Drawn, the Guarantee of having 3 Numbers in at Least 1
Combination if ALL the 6 Numbers Drawn are in the Selected 24 Numbers.
I have a Set of 6 Number Combinations in Cells "G13:L27" ( the Number of
Combinations could be More or Less ).
In this Example I am Using a Wheel with 24 Numbers :-
1,3,7,12,15,16
1,4,5,17,20,21
1,8,9,10,19,22
1,13,14,18,23,24
2,3,6,9,21,23
2,10,12,14,16,20
2,11,15,19,20,24
3,4,7,10,18,24
3,5,7,14,17,19
4,6,8,14,15,22
4,9,11,13,16,19
5,10,13,15,17,23
5,11,12,18,21,22
6,8,12,16,17,24
7,8,13,20,22,23
Here is the Code that someone has Kindly Provided which Cycles through
ALL Combinations and Compares ALL the Combinations with ALL the
Combinations in the Above Wheel. The Below Code Finds the Coverage (
Total Combinations ) of 5 Numbers if 5 Numbers are Matched …
Code:
Sub test_5()
Dim a, dic As Object
Set dic = CreateObject("Scripting.Dictionary")
a = Range("g13").CurrentRegion.Value
For i = 1 To UBound(a, 1)
For ii = 1 To 2
For iii = ii + 1 To 3
For iv = iii + 1 To 4
For v = iv + 1 To 5
For vi = v + 1 To 6
z = a(i, ii) & "," & a(i, iii) & a(i, iv) & a(i,
v) & a(i, vi)
If Not dic.exists(z) Then
dic.Add z, Nothing
n = n + 1
End If
Next vi, v, iv, iii, ii, i
Set dic = Nothing
Range("O16") = n
End Sub
… and Produces the Correct Result of 90.
How can the Code be Modified to Also Produce the Combinations Covered
for the Categories …
Matched = Covered Combinations
2 if 5 = 42,504
3 if 5 = 35,720
4 if 5 = 4,140
5 if 5 = 90 ( the Code Already Provides this Result )
… Please.
I was Told for the Interpretation of the 3 if 5 Category that you Need
to Cycle through ALL 5 Number Combinations that can be Constructed from
the Total Numbers Used in the Wheel ( 24 in this Case ). So if the Wheel
Contains "x" Unique Numbers, you Need to Cycle through ALL 5 Number
Combinations from those "x" Numbers. Then you Need to Scan the Wheel for
Each 5 Number Combination Produced and Compare it with Each Line in the
Wheel to see if that Line Matches the 5 Number Combination in *EXACTLY*
3 Numbers. If it does, then that Combination of 3 if 5 is Covered and
Added to the Total and there is NO Need to Continue to Check for that
Particular Combination Any Further. You then go onto the Next
Combination to Check and so on Until ALL Combinations have been Cycled
through and Checked with the Wheel.
I Hope I have Explained this Clear Enough.
Many Thanks in Advance.
All the Best.
Paul
*** Sent via Developersdex http://www.developersdex.com ***