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waterballoon

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Joined
Jun 15, 2011
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35
I am trying to use excel to set up a 4v4 tournament. I have 13 players and want to come up different combinations to make enough teams so each player plays 12 games.

I was thinking there was a random number generator in excel, just can't seem to find it...

Any thoughts out there?

Thanks in advance.
 

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It can't come out to exactly 12; if you have 20 4v4 games, that's 160 total participants, which means the best you could do is 8 people playing 12 games and 4 playing 13.
 
Upvote 0
And that is completely fine.

I just did randbetween but that gives me the same combinations over again sometimes. Any way to prevent that from happening?
 
Upvote 0
I don't think random is the way to go with this. If you managed to get a solution this way, it would be pure luck.

Unfortunately, I don't have a viable alternative in mind right now.

Are you looking to perm your 13 participants into teams of 4 in order to play? Then make sure each particpant plays in 12 matches?
 
Upvote 0
I can't for the life of me remember who wrote this code - think I got it off here somewhere, or maybe Ozgrid.

The test procedure at the bottom will place 30 unique random numbers between 30 and 1 in to cells A1:A30 of Sheet1.

But as Weaver said, I think your problem involves a bit more than generating random numbers.

Code:
Public Function RandomNumbers(Upper As Integer, _
   Optional Lower As Integer = 1, _
   Optional HowMany As Integer = 1, _
   Optional Unique As Boolean = True) As Variant
    On Error GoTo LocalError
    If HowMany > ((Upper + 1) - (Lower - 1)) Then Exit Function
    Dim x           As Integer
    Dim n           As Integer
    Dim arrNums()   As Variant
    Dim colNumbers  As New Collection
    
    ReDim arrNums(HowMany - 1)
    With colNumbers
        'First populate the collection
        For x = Lower To Upper
            .Add x
        Next x
        For x = 0 To HowMany - 1
            n = RandomNumber(0, colNumbers.Count + 1)
            arrNums(x) = colNumbers(n)
            If Unique Then
                colNumbers.Remove n
            End If
        Next x
    End With
    Set colNumbers = Nothing
    RandomNumbers = arrNums
Exit Function
LocalError:
    RandomNumbers = ""
End Function

Public Function RandomNumber(Upper As Integer, _
     Lower As Integer) As Integer
    'Generates a Random Number BETWEEN the LOWER and UPPER values
    Randomize
    RandomNumber = Int((Upper - Lower + 1) * Rnd + Lower)
End Function

Sub Test()

    Dim MyArray As Variant
    Dim i As Long
    
    MyArray = RandomNumbers(30, 1, 30, True)
    
    For i = 1 To 30
        Sheet1.Cells(i, 1) = MyArray(i - 1)
    Next i
    
End Sub
 
Upvote 0
I just looking to make sure each one plays in at least 12 games (3 games per day, 4 days) and trying to make a different team combination each time.

Thanks for all of the help, I'm starting to get somewhere, just not there yet....
 
Upvote 0
This is in no way scientific ...

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BACKGROUND-COLOR: white; HEIGHT: 12pt; BORDER-TOP: windowtext; BORDER-RIGHT: windowtext 0.5pt solid" class=xl30 height=16 align=right>10</TD><TD style="BORDER-BOTTOM: windowtext 0.5pt solid; BORDER-LEFT: windowtext; BACKGROUND-COLOR: white; BORDER-TOP: windowtext; BORDER-RIGHT: windowtext 0.5pt solid" class=xl30 align=right>5</TD><TD style="BORDER-BOTTOM: windowtext 0.5pt solid; BORDER-LEFT: windowtext; BACKGROUND-COLOR: white; BORDER-TOP: windowtext; BORDER-RIGHT: windowtext 0.5pt solid" class=xl30 align=right>6</TD><TD style="BORDER-BOTTOM: windowtext 0.5pt solid; BORDER-LEFT: windowtext; BACKGROUND-COLOR: white; BORDER-TOP: windowtext; BORDER-RIGHT: windowtext 0.5pt solid" class=xl30 align=right>9</TD><TD style="BORDER-BOTTOM: windowtext 0.5pt solid; BORDER-LEFT: windowtext; BACKGROUND-COLOR: white; BORDER-TOP: windowtext; BORDER-RIGHT: windowtext 0.5pt solid" class=xl30 align=right>11</TD><TD style="BORDER-BOTTOM: windowtext 0.5pt solid; BORDER-LEFT: windowtext; BACKGROUND-COLOR: white; BORDER-TOP: windowtext; BORDER-RIGHT: windowtext 0.5pt solid" class=xl30 align=right>1</TD><TD style="BORDER-BOTTOM: windowtext 0.5pt solid; BORDER-LEFT: windowtext; BACKGROUND-COLOR: white; BORDER-TOP: windowtext; BORDER-RIGHT: windowtext 0.5pt solid" class=xl30 align=right>4</TD><TD style="BORDER-BOTTOM: windowtext 0.5pt solid; BORDER-LEFT: windowtext; BACKGROUND-COLOR: white; BORDER-TOP: windowtext; BORDER-RIGHT: windowtext 0.5pt solid" class=xl30 align=right>7</TD><TD style="BORDER-BOTTOM: windowtext 0.5pt solid; BORDER-LEFT: windowtext; BACKGROUND-COLOR: white; BORDER-TOP: windowtext; BORDER-RIGHT: windowtext 0.5pt solid" class=xl30 align=right>8</TD></TR><TR style="HEIGHT: 12pt" height=16><TD style="BORDER-BOTTOM: windowtext 0.5pt solid; BORDER-LEFT: windowtext 0.5pt solid; BACKGROUND-COLOR: white; HEIGHT: 12pt; BORDER-TOP: windowtext; BORDER-RIGHT: windowtext 0.5pt solid" class=xl30 height=16 align=right>11</TD><TD style="BORDER-BOTTOM: windowtext 0.5pt solid; BORDER-LEFT: windowtext; BACKGROUND-COLOR: white; BORDER-TOP: windowtext; BORDER-RIGHT: windowtext 0.5pt solid" class=xl30 align=right>4</TD><TD style="BORDER-BOTTOM: windowtext 0.5pt solid; BORDER-LEFT: windowtext; BACKGROUND-COLOR: white; BORDER-TOP: windowtext; BORDER-RIGHT: windowtext 0.5pt solid" class=xl30 align=right>6</TD><TD style="BORDER-BOTTOM: windowtext 0.5pt solid; BORDER-LEFT: windowtext; BACKGROUND-COLOR: white; BORDER-TOP: windowtext; BORDER-RIGHT: windowtext 0.5pt solid" class=xl30 align=right>9</TD><TD style="BORDER-BOTTOM: windowtext 0.5pt solid; BORDER-LEFT: windowtext; BACKGROUND-COLOR: white; BORDER-TOP: windowtext; BORDER-RIGHT: windowtext 0.5pt solid" class=xl30 align=right>13</TD><TD style="BORDER-BOTTOM: windowtext 0.5pt solid; BORDER-LEFT: windowtext; BACKGROUND-COLOR: white; BORDER-TOP: windowtext; BORDER-RIGHT: windowtext 0.5pt solid" class=xl30 align=right>1</TD><TD style="BORDER-BOTTOM: windowtext 0.5pt solid; BORDER-LEFT: windowtext; BACKGROUND-COLOR: white; BORDER-TOP: windowtext; BORDER-RIGHT: windowtext 0.5pt solid" class=xl30 align=right>2</TD><TD style="BORDER-BOTTOM: windowtext 0.5pt solid; BORDER-LEFT: windowtext; BACKGROUND-COLOR: white; BORDER-TOP: windowtext; BORDER-RIGHT: windowtext 0.5pt solid" class=xl30 align=right>5</TD><TD style="BORDER-BOTTOM: windowtext 0.5pt solid; BORDER-LEFT: windowtext; BACKGROUND-COLOR: white; BORDER-TOP: windowtext; BORDER-RIGHT: windowtext 0.5pt solid" class=xl30 align=right>10</TD></TR><TR style="HEIGHT: 12pt" height=16><TD style="BORDER-BOTTOM: windowtext 0.5pt solid; BORDER-LEFT: windowtext 0.5pt solid; BACKGROUND-COLOR: white; HEIGHT: 12pt; BORDER-TOP: windowtext; BORDER-RIGHT: windowtext 0.5pt solid" class=xl30 height=16 align=right>12</TD><TD style="BORDER-BOTTOM: windowtext 0.5pt solid; BORDER-LEFT: windowtext; BACKGROUND-COLOR: white; BORDER-TOP: windowtext; BORDER-RIGHT: windowtext 0.5pt solid" class=xl30 align=right>3</TD><TD style="BORDER-BOTTOM: windowtext 0.5pt solid; BORDER-LEFT: windowtext; BACKGROUND-COLOR: white; BORDER-TOP: windowtext; BORDER-RIGHT: windowtext 0.5pt solid" class=xl30 align=right>4</TD><TD style="BORDER-BOTTOM: windowtext 0.5pt solid; BORDER-LEFT: windowtext; BACKGROUND-COLOR: white; BORDER-TOP: windowtext; BORDER-RIGHT: windowtext 0.5pt solid" class=xl30 align=right>11</TD><TD style="BORDER-BOTTOM: windowtext 0.5pt solid; BORDER-LEFT: windowtext; BACKGROUND-COLOR: white; BORDER-TOP: windowtext; BORDER-RIGHT: windowtext 0.5pt solid" class=xl30 align=right>13</TD><TD style="BORDER-BOTTOM: windowtext 0.5pt solid; BORDER-LEFT: windowtext; BACKGROUND-COLOR: white; BORDER-TOP: windowtext; BORDER-RIGHT: windowtext 0.5pt solid" class=xl30 align=right>2</TD><TD style="BORDER-BOTTOM: windowtext 0.5pt solid; BORDER-LEFT: windowtext; BACKGROUND-COLOR: white; BORDER-TOP: windowtext; BORDER-RIGHT: windowtext 0.5pt solid" class=xl30 align=right>6</TD><TD style="BORDER-BOTTOM: windowtext 0.5pt solid; BORDER-LEFT: windowtext; BACKGROUND-COLOR: white; BORDER-TOP: windowtext; BORDER-RIGHT: windowtext 0.5pt solid" class=xl30 align=right>8</TD><TD style="BORDER-BOTTOM: windowtext 0.5pt solid; BORDER-LEFT: windowtext; BACKGROUND-COLOR: white; BORDER-TOP: windowtext; BORDER-RIGHT: windowtext 0.5pt solid" class=xl30 align=right>12</TD></TR><TR style="HEIGHT: 12pt" height=16><TD style="BORDER-BOTTOM: windowtext 0.5pt solid; BORDER-LEFT: windowtext 0.5pt solid; BACKGROUND-COLOR: white; HEIGHT: 12pt; BORDER-TOP: windowtext; BORDER-RIGHT: windowtext 0.5pt solid" class=xl30 height=16 align=right>13</TD><TD style="BORDER-BOTTOM: windowtext 0.5pt solid; BORDER-LEFT: windowtext; BACKGROUND-COLOR: white; BORDER-TOP: windowtext; BORDER-RIGHT: windowtext 0.5pt solid" class=xl30 align=right>3</TD><TD style="BORDER-BOTTOM: windowtext 0.5pt solid; BORDER-LEFT: windowtext; BACKGROUND-COLOR: white; BORDER-TOP: windowtext; BORDER-RIGHT: windowtext 0.5pt solid" class=xl30 align=right>4</TD><TD style="BORDER-BOTTOM: windowtext 0.5pt solid; BORDER-LEFT: windowtext; BACKGROUND-COLOR: white; BORDER-TOP: windowtext; BORDER-RIGHT: windowtext 0.5pt solid" class=xl30 align=right>5</TD><TD style="BORDER-BOTTOM: windowtext 0.5pt solid; BORDER-LEFT: windowtext; BACKGROUND-COLOR: white; BORDER-TOP: windowtext; BORDER-RIGHT: windowtext 0.5pt solid" class=xl30 align=right>10</TD><TD style="BORDER-BOTTOM: windowtext 0.5pt solid; BORDER-LEFT: windowtext; BACKGROUND-COLOR: white; BORDER-TOP: windowtext; BORDER-RIGHT: windowtext 0.5pt solid" class=xl30 align=right>7</TD><TD style="BORDER-BOTTOM: windowtext 0.5pt solid; BORDER-LEFT: windowtext; BACKGROUND-COLOR: white; BORDER-TOP: windowtext; BORDER-RIGHT: windowtext 0.5pt solid" class=xl30 align=right>8</TD><TD style="BORDER-BOTTOM: windowtext 0.5pt solid; BORDER-LEFT: windowtext; BACKGROUND-COLOR: white; BORDER-TOP: windowtext; BORDER-RIGHT: windowtext 0.5pt solid" class=xl30 align=right>11</TD><TD style="BORDER-BOTTOM: windowtext 0.5pt solid; BORDER-LEFT: windowtext; BACKGROUND-COLOR: white; BORDER-TOP: windowtext; BORDER-RIGHT: windowtext 0.5pt solid" class=xl30 align=right>12</TD></TR><TR style="HEIGHT: 12pt" height=16><TD style="BORDER-BOTTOM: windowtext 0.5pt solid; BORDER-LEFT: windowtext 0.5pt solid; BACKGROUND-COLOR: white; HEIGHT: 12pt; BORDER-TOP: windowtext; BORDER-RIGHT: windowtext 0.5pt solid" class=xl30 height=16 align=right>14</TD><TD style="BORDER-BOTTOM: windowtext 0.5pt solid; BORDER-LEFT: windowtext; BACKGROUND-COLOR: white; BORDER-TOP: windowtext; BORDER-RIGHT: windowtext 0.5pt solid" class=xl30 align=right>1</TD><TD style="BORDER-BOTTOM: windowtext 0.5pt solid; BORDER-LEFT: windowtext; BACKGROUND-COLOR: white; BORDER-TOP: windowtext; BORDER-RIGHT: windowtext 0.5pt solid" class=xl30 align=right>3</TD><TD style="BORDER-BOTTOM: windowtext 0.5pt solid; BORDER-LEFT: windowtext; BACKGROUND-COLOR: white; BORDER-TOP: windowtext; BORDER-RIGHT: windowtext 0.5pt solid" class=xl30 align=right>8</TD><TD style="BORDER-BOTTOM: windowtext 0.5pt solid; BORDER-LEFT: windowtext; BACKGROUND-COLOR: white; BORDER-TOP: windowtext; BORDER-RIGHT: windowtext 0.5pt solid" class=xl30 align=right>9</TD><TD style="BORDER-BOTTOM: windowtext 0.5pt solid; BORDER-LEFT: windowtext; BACKGROUND-COLOR: white; BORDER-TOP: windowtext; BORDER-RIGHT: windowtext 0.5pt solid" class=xl30 align=right>4</TD><TD style="BORDER-BOTTOM: windowtext 0.5pt solid; BORDER-LEFT: windowtext; BACKGROUND-COLOR: white; BORDER-TOP: windowtext; BORDER-RIGHT: windowtext 0.5pt solid" class=xl30 align=right>10</TD><TD style="BORDER-BOTTOM: windowtext 0.5pt solid; BORDER-LEFT: windowtext; BACKGROUND-COLOR: white; BORDER-TOP: windowtext; BORDER-RIGHT: windowtext 0.5pt solid" class=xl30 align=right>11</TD><TD style="BORDER-BOTTOM: windowtext 0.5pt solid; BORDER-LEFT: windowtext; BACKGROUND-COLOR: white; BORDER-TOP: windowtext; BORDER-RIGHT: windowtext 0.5pt solid" class=xl30 align=right>12</TD></TR><TR style="HEIGHT: 12pt" height=16><TD style="BORDER-BOTTOM: windowtext 0.5pt solid; BORDER-LEFT: windowtext 0.5pt solid; BACKGROUND-COLOR: white; HEIGHT: 12pt; BORDER-TOP: windowtext; BORDER-RIGHT: windowtext 0.5pt solid" class=xl30 height=16 align=right>15</TD><TD style="BORDER-BOTTOM: windowtext 0.5pt solid; BORDER-LEFT: windowtext; BACKGROUND-COLOR: white; BORDER-TOP: windowtext; BORDER-RIGHT: windowtext 0.5pt solid" class=xl30 align=right>2</TD><TD style="BORDER-BOTTOM: windowtext 0.5pt solid; BORDER-LEFT: windowtext; BACKGROUND-COLOR: white; BORDER-TOP: windowtext; BORDER-RIGHT: windowtext 0.5pt solid" class=xl30 align=right>4</TD><TD style="BORDER-BOTTOM: windowtext 0.5pt solid; BORDER-LEFT: windowtext; BACKGROUND-COLOR: white; BORDER-TOP: windowtext; BORDER-RIGHT: windowtext 0.5pt solid" class=xl30 align=right>6</TD><TD style="BORDER-BOTTOM: windowtext 0.5pt solid; BORDER-LEFT: windowtext; BACKGROUND-COLOR: white; BORDER-TOP: windowtext; BORDER-RIGHT: windowtext 0.5pt solid" class=xl30 align=right>9</TD><TD style="BORDER-BOTTOM: windowtext 0.5pt solid; BORDER-LEFT: windowtext; BACKGROUND-COLOR: white; BORDER-TOP: windowtext; BORDER-RIGHT: windowtext 0.5pt solid" class=xl30 align=right>1</TD><TD style="BORDER-BOTTOM: windowtext 0.5pt solid; BORDER-LEFT: windowtext; BACKGROUND-COLOR: white; BORDER-TOP: windowtext; BORDER-RIGHT: windowtext 0.5pt solid" class=xl30 align=right>3</TD><TD style="BORDER-BOTTOM: windowtext 0.5pt solid; BORDER-LEFT: windowtext; BACKGROUND-COLOR: white; BORDER-TOP: windowtext; BORDER-RIGHT: windowtext 0.5pt solid" class=xl30 align=right>12</TD><TD style="BORDER-BOTTOM: windowtext 0.5pt solid; BORDER-LEFT: windowtext; BACKGROUND-COLOR: white; BORDER-TOP: windowtext; BORDER-RIGHT: windowtext 0.5pt solid" class=xl30 align=right>13</TD></TR><TR style="HEIGHT: 12pt" height=16><TD style="BORDER-BOTTOM: windowtext 0.5pt solid; BORDER-LEFT: windowtext 0.5pt solid; BACKGROUND-COLOR: white; HEIGHT: 12pt; BORDER-TOP: windowtext; BORDER-RIGHT: windowtext 0.5pt solid" class=xl30 height=16 align=right>16</TD><TD style="BORDER-BOTTOM: windowtext 0.5pt solid; BORDER-LEFT: windowtext; BACKGROUND-COLOR: white; BORDER-TOP: windowtext; BORDER-RIGHT: windowtext 0.5pt solid" class=xl30 align=right>1</TD><TD style="BORDER-BOTTOM: windowtext 0.5pt solid; BORDER-LEFT: windowtext; BACKGROUND-COLOR: white; BORDER-TOP: windowtext; BORDER-RIGHT: windowtext 0.5pt solid" class=xl30 align=right>2</TD><TD style="BORDER-BOTTOM: windowtext 0.5pt solid; BORDER-LEFT: windowtext; BACKGROUND-COLOR: white; BORDER-TOP: windowtext; BORDER-RIGHT: windowtext 0.5pt solid" class=xl30 align=right>5</TD><TD style="BORDER-BOTTOM: windowtext 0.5pt solid; BORDER-LEFT: windowtext; BACKGROUND-COLOR: white; BORDER-TOP: windowtext; BORDER-RIGHT: windowtext 0.5pt solid" class=xl30 align=right>10</TD><TD style="BORDER-BOTTOM: windowtext 0.5pt solid; BORDER-LEFT: windowtext; BACKGROUND-COLOR: white; BORDER-TOP: windowtext; BORDER-RIGHT: windowtext 0.5pt solid" class=xl30 align=right>4</TD><TD style="BORDER-BOTTOM: windowtext 0.5pt solid; BORDER-LEFT: windowtext; BACKGROUND-COLOR: white; BORDER-TOP: windowtext; BORDER-RIGHT: windowtext 0.5pt solid" class=xl30 align=right>8</TD><TD style="BORDER-BOTTOM: windowtext 0.5pt solid; BORDER-LEFT: windowtext; BACKGROUND-COLOR: white; BORDER-TOP: windowtext; BORDER-RIGHT: windowtext 0.5pt solid" class=xl30 align=right>9</TD><TD style="BORDER-BOTTOM: windowtext 0.5pt solid; BORDER-LEFT: windowtext; BACKGROUND-COLOR: white; BORDER-TOP: windowtext; BORDER-RIGHT: windowtext 0.5pt solid" class=xl30 align=right>11</TD></TR><TR style="HEIGHT: 12pt" height=16><TD style="BORDER-BOTTOM: windowtext 0.5pt solid; BORDER-LEFT: windowtext 0.5pt solid; BACKGROUND-COLOR: white; HEIGHT: 12pt; BORDER-TOP: windowtext; BORDER-RIGHT: windowtext 0.5pt solid" class=xl30 height=16 align=right>17</TD><TD style="BORDER-BOTTOM: windowtext 0.5pt solid; BORDER-LEFT: windowtext; BACKGROUND-COLOR: white; BORDER-TOP: windowtext; BORDER-RIGHT: windowtext 0.5pt solid" class=xl30 align=right>2</TD><TD style="BORDER-BOTTOM: windowtext 0.5pt solid; BORDER-LEFT: windowtext; BACKGROUND-COLOR: white; BORDER-TOP: windowtext; BORDER-RIGHT: windowtext 0.5pt solid" class=xl30 align=right>6</TD><TD style="BORDER-BOTTOM: windowtext 0.5pt solid; BORDER-LEFT: windowtext; BACKGROUND-COLOR: white; BORDER-TOP: windowtext; BORDER-RIGHT: windowtext 0.5pt solid" class=xl30 align=right>7</TD><TD style="BORDER-BOTTOM: windowtext 0.5pt solid; BORDER-LEFT: windowtext; BACKGROUND-COLOR: white; BORDER-TOP: windowtext; BORDER-RIGHT: windowtext 0.5pt solid" class=xl30 align=right>12</TD><TD style="BORDER-BOTTOM: windowtext 0.5pt solid; BORDER-LEFT: windowtext; BACKGROUND-COLOR: white; BORDER-TOP: windowtext; BORDER-RIGHT: windowtext 0.5pt solid" class=xl30 align=right>1</TD><TD style="BORDER-BOTTOM: windowtext 0.5pt solid; BORDER-LEFT: windowtext; BACKGROUND-COLOR: white; BORDER-TOP: windowtext; BORDER-RIGHT: windowtext 0.5pt solid" class=xl30 align=right>5</TD><TD style="BORDER-BOTTOM: windowtext 0.5pt solid; BORDER-LEFT: windowtext; BACKGROUND-COLOR: white; BORDER-TOP: windowtext; BORDER-RIGHT: windowtext 0.5pt solid" class=xl30 align=right>10</TD><TD style="BORDER-BOTTOM: windowtext 0.5pt solid; BORDER-LEFT: windowtext; BACKGROUND-COLOR: white; BORDER-TOP: windowtext; BORDER-RIGHT: windowtext 0.5pt solid" class=xl30 align=right>13</TD></TR><TR style="HEIGHT: 12pt" height=16><TD style="BORDER-BOTTOM: windowtext 0.5pt solid; BORDER-LEFT: windowtext 0.5pt solid; BACKGROUND-COLOR: white; HEIGHT: 12pt; BORDER-TOP: windowtext; BORDER-RIGHT: windowtext 0.5pt solid" class=xl30 height=16 align=right>18</TD><TD style="BORDER-BOTTOM: windowtext 0.5pt solid; BORDER-LEFT: windowtext; BACKGROUND-COLOR: white; BORDER-TOP: windowtext; BORDER-RIGHT: windowtext 0.5pt solid" class=xl30 align=right>2</TD><TD style="BORDER-BOTTOM: windowtext 0.5pt solid; BORDER-LEFT: windowtext; BACKGROUND-COLOR: white; BORDER-TOP: windowtext; BORDER-RIGHT: windowtext 0.5pt solid" class=xl30 align=right>5</TD><TD style="BORDER-BOTTOM: windowtext 0.5pt solid; BORDER-LEFT: windowtext; BACKGROUND-COLOR: white; BORDER-TOP: windowtext; BORDER-RIGHT: windowtext 0.5pt solid" class=xl30 align=right>7</TD><TD style="BORDER-BOTTOM: windowtext 0.5pt solid; BORDER-LEFT: windowtext; BACKGROUND-COLOR: white; BORDER-TOP: windowtext; BORDER-RIGHT: windowtext 0.5pt solid" class=xl30 align=right>9</TD><TD style="BORDER-BOTTOM: windowtext 0.5pt solid; BORDER-LEFT: windowtext; BACKGROUND-COLOR: white; BORDER-TOP: windowtext; BORDER-RIGHT: windowtext 0.5pt solid" class=xl30 align=right>6</TD><TD style="BORDER-BOTTOM: windowtext 0.5pt solid; BORDER-LEFT: windowtext; BACKGROUND-COLOR: white; BORDER-TOP: windowtext; BORDER-RIGHT: windowtext 0.5pt solid" class=xl30 align=right>11</TD><TD style="BORDER-BOTTOM: windowtext 0.5pt solid; BORDER-LEFT: windowtext; BACKGROUND-COLOR: white; BORDER-TOP: windowtext; BORDER-RIGHT: windowtext 0.5pt solid" class=xl30 align=right>12</TD><TD style="BORDER-BOTTOM: windowtext 0.5pt solid; BORDER-LEFT: windowtext; BACKGROUND-COLOR: white; BORDER-TOP: windowtext; BORDER-RIGHT: windowtext 0.5pt solid" class=xl30 align=right>13</TD></TR><TR style="HEIGHT: 12pt" height=16><TD style="BORDER-BOTTOM: windowtext 0.5pt solid; BORDER-LEFT: windowtext 0.5pt solid; BACKGROUND-COLOR: white; HEIGHT: 12pt; BORDER-TOP: windowtext; BORDER-RIGHT: windowtext 0.5pt solid" class=xl30 height=16 align=right>19</TD><TD style="BORDER-BOTTOM: windowtext 0.5pt solid; BORDER-LEFT: windowtext; BACKGROUND-COLOR: white; BORDER-TOP: windowtext; BORDER-RIGHT: windowtext 0.5pt solid" class=xl30 align=right>10</TD><TD style="BORDER-BOTTOM: windowtext 0.5pt solid; BORDER-LEFT: windowtext; BACKGROUND-COLOR: white; BORDER-TOP: windowtext; BORDER-RIGHT: windowtext 0.5pt solid" class=xl30 align=right>11</TD><TD style="BORDER-BOTTOM: windowtext 0.5pt solid; BORDER-LEFT: windowtext; BACKGROUND-COLOR: white; BORDER-TOP: windowtext; BORDER-RIGHT: windowtext 0.5pt solid" class=xl30 align=right>12</TD><TD style="BORDER-BOTTOM: windowtext 0.5pt solid; BORDER-LEFT: windowtext; BACKGROUND-COLOR: white; BORDER-TOP: windowtext; BORDER-RIGHT: windowtext 0.5pt solid" class=xl30 align=right>13</TD><TD style="BORDER-BOTTOM: windowtext 0.5pt solid; BORDER-LEFT: windowtext; BACKGROUND-COLOR: white; BORDER-TOP: windowtext; BORDER-RIGHT: windowtext 0.5pt solid" class=xl30 align=right>3</TD><TD style="BORDER-BOTTOM: windowtext 0.5pt solid; BORDER-LEFT: windowtext; BACKGROUND-COLOR: white; BORDER-TOP: windowtext; BORDER-RIGHT: windowtext 0.5pt solid" class=xl30 align=right>4</TD><TD style="BORDER-BOTTOM: windowtext 0.5pt solid; BORDER-LEFT: windowtext; BACKGROUND-COLOR: white; BORDER-TOP: windowtext; BORDER-RIGHT: windowtext 0.5pt solid" class=xl30 align=right>7</TD><TD style="BORDER-BOTTOM: windowtext 0.5pt solid; BORDER-LEFT: windowtext; BACKGROUND-COLOR: white; BORDER-TOP: windowtext; BORDER-RIGHT: windowtext 0.5pt solid" class=xl30 align=right>8</TD></TR><TR style="HEIGHT: 12pt" height=16><TD style="BORDER-BOTTOM: windowtext 0.5pt solid; BORDER-LEFT: windowtext 0.5pt solid; BACKGROUND-COLOR: white; HEIGHT: 12pt; BORDER-TOP: windowtext; BORDER-RIGHT: windowtext 0.5pt solid" class=xl30 height=16 align=right>20</TD><TD style="BORDER-BOTTOM: windowtext 0.5pt solid; BORDER-LEFT: windowtext; BACKGROUND-COLOR: white; BORDER-TOP: windowtext; BORDER-RIGHT: windowtext 0.5pt solid" class=xl30 align=right>5</TD><TD style="BORDER-BOTTOM: windowtext 0.5pt solid; BORDER-LEFT: windowtext; BACKGROUND-COLOR: white; BORDER-TOP: windowtext; BORDER-RIGHT: windowtext 0.5pt solid" class=xl30 align=right>7</TD><TD style="BORDER-BOTTOM: windowtext 0.5pt solid; BORDER-LEFT: windowtext; BACKGROUND-COLOR: white; BORDER-TOP: windowtext; BORDER-RIGHT: windowtext 0.5pt solid" class=xl30 align=right>8</TD><TD style="BORDER-BOTTOM: windowtext 0.5pt solid; BORDER-LEFT: windowtext; BACKGROUND-COLOR: white; BORDER-TOP: windowtext; BORDER-RIGHT: windowtext 0.5pt solid" class=xl30 align=right>12</TD><TD style="BORDER-BOTTOM: windowtext 0.5pt solid; BORDER-LEFT: windowtext; BACKGROUND-COLOR: white; BORDER-TOP: windowtext; BORDER-RIGHT: windowtext 0.5pt solid" class=xl30 align=right>2</TD><TD style="BORDER-BOTTOM: windowtext 0.5pt solid; BORDER-LEFT: windowtext; BACKGROUND-COLOR: white; BORDER-TOP: windowtext; BORDER-RIGHT: windowtext 0.5pt solid" class=xl30 align=right>6</TD><TD style="BORDER-BOTTOM: windowtext 0.5pt solid; BORDER-LEFT: windowtext; BACKGROUND-COLOR: white; BORDER-TOP: windowtext; BORDER-RIGHT: windowtext 0.5pt solid" class=xl30 align=right>10</TD><TD style="BORDER-BOTTOM: windowtext 0.5pt solid; BORDER-LEFT: windowtext; BACKGROUND-COLOR: white; BORDER-TOP: windowtext; BORDER-RIGHT: windowtext 0.5pt solid" class=xl30 align=right>13</TD></TR></TBODY></TABLE>
 
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