How to: Worksheet arbitrary range values to VBA Matrix?

A

akindofmagic

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Sep 12, 2010
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Hello guys, I hope you can help me with this.

Let's say I need to read from the worksheet some numerical values, and assign this values to a numerical matrix in a VBA procedure. The Sub will ask the user trough an InputBox the width and the height of the matrix, or simpler, "Specify the range of the matrix." Trough an InputBox, if it's possible, the user will select the matrix range.
I hope my question is not confusing.

Thank you in advance!

Stefan.
 

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In terms of dialog - see Application.InputBox Type 8

It's then a case of assigning the InputBox to a Variant data type variable
(note the variant will be False if dialog is cancelled)

Code: 
Sub Example()
    Dim vMatrix As Variant
    vMatrix = Application.InputBox("Select Range", Type:=8)
End Sub
 
Upvote 0
Thank you for your instant reply.

Let's say now I'll need to "print" the matrix on another sheet, say Sheet2.
Is there any other way than

Application.Worksheets("Sheet2").Cells(.....).Value = vMatrix

Or maybe it's possible to report the matrix in a MsgBox?

Thank you.
 
Upvote 0
First I think it would be a good to outline the overall requirements.

In terms of MsgBox - possibly - but a User Form might make more sense.

On an aside should the user be able to select non-contiguous ranges ?
 
Upvote 0
Well, my problem is complicated.

I have to multiply an arbitrary number of polynomials, say P1*P2*P3*...*Pn.
P1 = an + a(n-1)*X^1 + a(n-2)*X^2 + ...+ a0*x^i
.
.
.
Pn = ...

I have managed to write the code for 3 polynomials, but I'm stuck for n polynomials.
I think the Sub needs to work with a matrix, where each row is the coefficients of each polynomial. The user will type the
maximum grades and the coefficients in the worksheet. The program will read the matrix and the calculus will begin.

Here is what I've worked so far:

Code: 
Sub Product3Pol() 
Dim n As Integer, m As Integer, r As Integer, xo As Integer 
Dim p1 As Integer, p2 As Integer 
Dim aArray(20) As Double, bArray(20) As Double, cArray(20) As Double, qArray(60) As Double, rArray(60) As Double 
 
' Colecting user data:
n = Application.InputBox("The maxim grade for the first polynomial is?") 
m = Application.InputBox("The maxim grade for the second polynomial is?") 
r = Application.InputBox("The maxim grade for the third polynomial is?") 
xo = Application.InputBox("x0 value is?") 
 
For i = 0 To n 
aArray(i) = Application.InputBox("a" & i & "= ", "1st polynomial coefficients") 
Next i 
 
For i = 0 To m 
bArray(i) = Application.InputBox("b" & i & "= ", "2nd polynomial coefficients") 
Next i 
 
For i = 0 To r 
cArray(i) = Application.InputBox("c" & i & "= ", "3rd polynomial coefficients") 
Next i 
 
' Multiplying first two polynomials
p1 = n + m 
 
For i = 0 To p1 
For k = 0 To i 
qArray(i) = qArray(i) + aArray(k) * bArray(i - k) 
Next k 
Next i 
 
' Multiplying the result of the first two polynomials with the third one
p2 = p1 + r 
 
For i = 0 To p2 
For k = 0 To i 
rArray(i) = rArray(i) + qArray(k) * cArray(i - k) 
Next k 
Next i 
 
 
' Evaluating the resultant polynom for x0
i = 0 
b = rArray(i) 
 
Do 
i = i + 1 
b = b * xo + rArray(i) 
Loop Until i = p2 + 1 
 
' Output
Application.Worksheets("Sheet1").Cells(1, 1).Value = "Product polynomial maximum grade is:" 
Application.Worksheets("Sheet1").Cells(1, 2).Value = p2 
 
Application.Worksheets("Sheet1").Cells(2, 1).Value = "Product polynomial coefficients are:" 
 
For i = 0 To p2 
Application.Worksheets("Sheet1").Cells(2, 2 + i).Value = rArray(i) 
Next i 
Application.Worksheets("Sheet1").Cells(3, 1).Value = "Polynom value for x0 is:" 
Application.Worksheets("Sheet1").Cells(3, 2).Value = b 
 
End Sub
 
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Upvote 0
I'm afraid to say that sailed over my head - I will put a note out to ask some of the brains to take a look (if not resolved by others in the meantime).
 
Upvote 0
Hi Stefan
Welcome to the board

This is an example that you may adapt.

You write the coefficients of the polynomials in a range and the code multiplies them.

Code: 
Sub PolyMult()
Dim r As Range
Dim vResult As Variant, vPoly As Variant
Dim j As Long
 
Set r = Application.InputBox("Select Range with the coefficients", Type:=8)
ReDim vResult(0 To 0)
vResult(0) = 1
For j = 1 To r.Columns.Count
    vPoly = Split(Trim(Join(Application.Transpose(r.Columns(j)))))
    vResult = PolyMult2(vResult, vPoly)
Next j
Range("H2").Resize(1 + UBound(vResult)) = Application.Transpose(vResult)
End Sub
 
' Multiplies 2 polynomials
' Input: P1 (0 to n), P2 (0 to m), arrays with the coefficients.
Function PolyMult2(P1 As Variant, P2 As Variant) As Variant
Dim vResult As Variant
Dim j As Long, k As Long
 
ReDim vResult(0 To UBound(P1) + UBound(P2))
For j = 0 To UBound(P1)
    For k = 0 To UBound(P2)
        vResult(j + k) = vResult(j + k) + P1(j) * P2(k)
    Next k
Next j
PolyMult2 = vResult
End Function

Ex.

Let's multiply the polynomials

P1: 2 + 3 * x (Coeff: 2,3)
P2: 5 + x + 7 * x^2 (Coeff: 5,1,7)
P3: 3 + x^2 + 4 * x^3 (Coeff: 3,0,1,4)
P4: x (Coeff: 0,1)

I wrote the coefficients in B2:E5

Run the program and input the range B2:E5.
The result is written in column H:

30 * x + 51 * x^2 + 61 * x^3 + 120 * x^4 + 85 * x^5 + 89 * x^6 + 84 * x^7


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BORDER-RIGHT-COLOR: #888888; BORDER-LEFT-COLOR: #888888; BORDER-LEFT-WIDTH: 1px; PADDING-TOP: 0.4em"></TD><TD style="BORDER-BOTTOM-COLOR: #888888; TEXT-ALIGN: right; PADDING-BOTTOM: 0.25em; BORDER-RIGHT-WIDTH: 1px; BORDER-TOP-COLOR: #888888; PADDING-LEFT: 0.5em; PADDING-RIGHT: 0.5em; BORDER-TOP-WIDTH: 1px; BORDER-BOTTOM-WIDTH: 1px; BORDER-RIGHT-COLOR: #888888; BORDER-LEFT-COLOR: #888888; BORDER-LEFT-WIDTH: 1px; PADDING-TOP: 0.4em"></TD><TD style="BORDER-BOTTOM-COLOR: #888888; TEXT-ALIGN: right; PADDING-BOTTOM: 0.25em; BORDER-RIGHT-WIDTH: 1px; BORDER-TOP-COLOR: #888888; PADDING-LEFT: 0.5em; PADDING-RIGHT: 0.5em; BORDER-TOP-WIDTH: 1px; BORDER-BOTTOM-WIDTH: 1px; BORDER-RIGHT-COLOR: #888888; BORDER-LEFT-COLOR: #888888; BORDER-LEFT-WIDTH: 1px; PADDING-TOP: 0.4em">30</TD><TD style="BORDER-BOTTOM-COLOR: #888888; TEXT-ALIGN: right; PADDING-BOTTOM: 0.25em; BORDER-RIGHT-WIDTH: 1px; BORDER-TOP-COLOR: #888888; PADDING-LEFT: 0.5em; PADDING-RIGHT: 0.5em; BORDER-TOP-WIDTH: 1px; BORDER-BOTTOM-WIDTH: 1px; BORDER-RIGHT-COLOR: #888888; BORDER-LEFT-COLOR: #888888; BORDER-LEFT-WIDTH: 1px; PADDING-TOP: 0.4em"></TD></TR><TR><TD style="BORDER-BOTTOM-COLOR: #000000; TEXT-ALIGN: center; PADDING-BOTTOM: 0.25em; BORDER-RIGHT-WIDTH: 1px; BORDER-TOP-COLOR: #000000; PADDING-LEFT: 0.5em; PADDING-RIGHT: 0.5em; BACKGROUND: #9cf; BORDER-TOP-WIDTH: 1px; BORDER-BOTTOM-WIDTH: 1px; BORDER-RIGHT-COLOR: #000000; BORDER-LEFT-COLOR: #000000; BORDER-LEFT-WIDTH: 1px; PADDING-TOP: 0.4em">4</TD><TD style="BORDER-BOTTOM-COLOR: #888888; TEXT-ALIGN: right; PADDING-BOTTOM: 0.25em; BORDER-RIGHT-WIDTH: 1px; BORDER-TOP-COLOR: #888888; PADDING-LEFT: 0.5em; PADDING-RIGHT: 0.5em; BORDER-TOP-WIDTH: 1px; BORDER-BOTTOM-WIDTH: 1px; BORDER-RIGHT-COLOR: #888888; BORDER-LEFT-COLOR: #888888; BORDER-LEFT-WIDTH: 1px; PADDING-TOP: 0.4em"></TD><TD style="BORDER-BOTTOM-COLOR: #888888; TEXT-ALIGN: right; PADDING-BOTTOM: 0.25em; BORDER-RIGHT-WIDTH: 1px; BORDER-TOP-COLOR: #888888; PADDING-LEFT: 0.5em; PADDING-RIGHT: 0.5em; BORDER-TOP-WIDTH: 1px; BORDER-BOTTOM-WIDTH: 1px; BORDER-RIGHT-COLOR: #888888; BORDER-LEFT-COLOR: #888888; BORDER-LEFT-WIDTH: 1px; PADDING-TOP: 0.4em"></TD><TD style="BORDER-BOTTOM-COLOR: #888888; TEXT-ALIGN: right; PADDING-BOTTOM: 0.25em; BORDER-RIGHT-WIDTH: 1px; BORDER-TOP-COLOR: #888888; PADDING-LEFT: 0.5em; PADDING-RIGHT: 0.5em; BORDER-TOP-WIDTH: 1px; BORDER-BOTTOM-WIDTH: 1px; BORDER-RIGHT-COLOR: #888888; BORDER-LEFT-COLOR: #888888; BORDER-LEFT-WIDTH: 1px; PADDING-TOP: 0.4em">7</TD><TD style="BORDER-BOTTOM-COLOR: #888888; TEXT-ALIGN: right; PADDING-BOTTOM: 0.25em; BORDER-RIGHT-WIDTH: 1px; BORDER-TOP-COLOR: #888888; PADDING-LEFT: 0.5em; PADDING-RIGHT: 0.5em; BORDER-TOP-WIDTH: 1px; BORDER-BOTTOM-WIDTH: 1px; BORDER-RIGHT-COLOR: #888888; BORDER-LEFT-COLOR: #888888; BORDER-LEFT-WIDTH: 1px; PADDING-TOP: 0.4em">1</TD><TD style="BORDER-BOTTOM-COLOR: #888888; TEXT-ALIGN: right; PADDING-BOTTOM: 0.25em; BORDER-RIGHT-WIDTH: 1px; BORDER-TOP-COLOR: #888888; PADDING-LEFT: 0.5em; PADDING-RIGHT: 0.5em; BORDER-TOP-WIDTH: 1px; BORDER-BOTTOM-WIDTH: 1px; BORDER-RIGHT-COLOR: #888888; BORDER-LEFT-COLOR: #888888; BORDER-LEFT-WIDTH: 1px; PADDING-TOP: 0.4em"></TD><TD style="BORDER-BOTTOM-COLOR: #888888; TEXT-ALIGN: right; PADDING-BOTTOM: 0.25em; BORDER-RIGHT-WIDTH: 1px; BORDER-TOP-COLOR: #888888; PADDING-LEFT: 0.5em; PADDING-RIGHT: 0.5em; BORDER-TOP-WIDTH: 1px; BORDER-BOTTOM-WIDTH: 1px; BORDER-RIGHT-COLOR: #888888; BORDER-LEFT-COLOR: #888888; BORDER-LEFT-WIDTH: 1px; PADDING-TOP: 0.4em"></TD><TD style="BORDER-BOTTOM-COLOR: #888888; TEXT-ALIGN: right; PADDING-BOTTOM: 0.25em; BORDER-RIGHT-WIDTH: 1px; BORDER-TOP-COLOR: #888888; PADDING-LEFT: 0.5em; PADDING-RIGHT: 0.5em; BORDER-TOP-WIDTH: 1px; BORDER-BOTTOM-WIDTH: 1px; BORDER-RIGHT-COLOR: #888888; BORDER-LEFT-COLOR: #888888; BORDER-LEFT-WIDTH: 1px; PADDING-TOP: 0.4em"></TD><TD style="BORDER-BOTTOM-COLOR: #888888; TEXT-ALIGN: right; PADDING-BOTTOM: 0.25em; BORDER-RIGHT-WIDTH: 1px; BORDER-TOP-COLOR: #888888; PADDING-LEFT: 0.5em; PADDING-RIGHT: 0.5em; BORDER-TOP-WIDTH: 1px; BORDER-BOTTOM-WIDTH: 1px; BORDER-RIGHT-COLOR: #888888; BORDER-LEFT-COLOR: #888888; BORDER-LEFT-WIDTH: 1px; PADDING-TOP: 0.4em">51</TD><TD style="BORDER-BOTTOM-COLOR: #888888; TEXT-ALIGN: right; PADDING-BOTTOM: 0.25em; BORDER-RIGHT-WIDTH: 1px; BORDER-TOP-COLOR: #888888; PADDING-LEFT: 0.5em; PADDING-RIGHT: 0.5em; BORDER-TOP-WIDTH: 1px; BORDER-BOTTOM-WIDTH: 1px; BORDER-RIGHT-COLOR: #888888; BORDER-LEFT-COLOR: #888888; BORDER-LEFT-WIDTH: 1px; PADDING-TOP: 0.4em"></TD></TR><TR><TD style="BORDER-BOTTOM-COLOR: #000000; TEXT-ALIGN: center; PADDING-BOTTOM: 0.25em; BORDER-RIGHT-WIDTH: 1px; BORDER-TOP-COLOR: #000000; PADDING-LEFT: 0.5em; PADDING-RIGHT: 0.5em; BACKGROUND: #9cf; BORDER-TOP-WIDTH: 1px; BORDER-BOTTOM-WIDTH: 1px; BORDER-RIGHT-COLOR: #000000; BORDER-LEFT-COLOR: #000000; BORDER-LEFT-WIDTH: 1px; PADDING-TOP: 0.4em">5</TD><TD style="BORDER-BOTTOM-COLOR: #888888; TEXT-ALIGN: right; PADDING-BOTTOM: 0.25em; BORDER-RIGHT-WIDTH: 1px; BORDER-TOP-COLOR: #888888; PADDING-LEFT: 0.5em; PADDING-RIGHT: 0.5em; BORDER-TOP-WIDTH: 1px; BORDER-BOTTOM-WIDTH: 1px; BORDER-RIGHT-COLOR: #888888; BORDER-LEFT-COLOR: #888888; BORDER-LEFT-WIDTH: 1px; PADDING-TOP: 0.4em"></TD><TD style="BORDER-BOTTOM-COLOR: #888888; TEXT-ALIGN: right; PADDING-BOTTOM: 0.25em; BORDER-RIGHT-WIDTH: 1px; BORDER-TOP-COLOR: #888888; PADDING-LEFT: 0.5em; PADDING-RIGHT: 0.5em; BORDER-TOP-WIDTH: 1px; BORDER-BOTTOM-WIDTH: 1px; BORDER-RIGHT-COLOR: #888888; BORDER-LEFT-COLOR: #888888; BORDER-LEFT-WIDTH: 1px; PADDING-TOP: 0.4em"></TD><TD style="BORDER-BOTTOM-COLOR: #888888; TEXT-ALIGN: right; PADDING-BOTTOM: 0.25em; BORDER-RIGHT-WIDTH: 1px; BORDER-TOP-COLOR: #888888; PADDING-LEFT: 0.5em; PADDING-RIGHT: 0.5em; BORDER-TOP-WIDTH: 1px; BORDER-BOTTOM-WIDTH: 1px; BORDER-RIGHT-COLOR: #888888; BORDER-LEFT-COLOR: #888888; BORDER-LEFT-WIDTH: 1px; PADDING-TOP: 0.4em"></TD><TD style="BORDER-BOTTOM-COLOR: #888888; TEXT-ALIGN: right; PADDING-BOTTOM: 0.25em; BORDER-RIGHT-WIDTH: 1px; BORDER-TOP-COLOR: #888888; PADDING-LEFT: 0.5em; PADDING-RIGHT: 0.5em; BORDER-TOP-WIDTH: 1px; BORDER-BOTTOM-WIDTH: 1px; BORDER-RIGHT-COLOR: #888888; BORDER-LEFT-COLOR: #888888; BORDER-LEFT-WIDTH: 1px; PADDING-TOP: 0.4em">4</TD><TD style="BORDER-BOTTOM-COLOR: #888888; TEXT-ALIGN: right; PADDING-BOTTOM: 0.25em; BORDER-RIGHT-WIDTH: 1px; BORDER-TOP-COLOR: #888888; PADDING-LEFT: 0.5em; PADDING-RIGHT: 0.5em; BORDER-TOP-WIDTH: 1px; BORDER-BOTTOM-WIDTH: 1px; BORDER-RIGHT-COLOR: #888888; BORDER-LEFT-COLOR: #888888; BORDER-LEFT-WIDTH: 1px; PADDING-TOP: 0.4em"></TD><TD style="BORDER-BOTTOM-COLOR: #888888; TEXT-ALIGN: right; PADDING-BOTTOM: 0.25em; BORDER-RIGHT-WIDTH: 1px; BORDER-TOP-COLOR: #888888; PADDING-LEFT: 0.5em; PADDING-RIGHT: 0.5em; BORDER-TOP-WIDTH: 1px; BORDER-BOTTOM-WIDTH: 1px; BORDER-RIGHT-COLOR: #888888; BORDER-LEFT-COLOR: #888888; BORDER-LEFT-WIDTH: 1px; PADDING-TOP: 0.4em"></TD><TD style="BORDER-BOTTOM-COLOR: #888888; TEXT-ALIGN: right; PADDING-BOTTOM: 0.25em; BORDER-RIGHT-WIDTH: 1px; BORDER-TOP-COLOR: #888888; PADDING-LEFT: 0.5em; PADDING-RIGHT: 0.5em; BORDER-TOP-WIDTH: 1px; BORDER-BOTTOM-WIDTH: 1px; BORDER-RIGHT-COLOR: #888888; BORDER-LEFT-COLOR: #888888; BORDER-LEFT-WIDTH: 1px; PADDING-TOP: 0.4em"></TD><TD style="BORDER-BOTTOM-COLOR: #888888; TEXT-ALIGN: right; PADDING-BOTTOM: 0.25em; BORDER-RIGHT-WIDTH: 1px; BORDER-TOP-COLOR: #888888; PADDING-LEFT: 0.5em; PADDING-RIGHT: 0.5em; BORDER-TOP-WIDTH: 1px; BORDER-BOTTOM-WIDTH: 1px; BORDER-RIGHT-COLOR: #888888; BORDER-LEFT-COLOR: #888888; BORDER-LEFT-WIDTH: 1px; PADDING-TOP: 0.4em">61</TD><TD style="BORDER-BOTTOM-COLOR: #888888; TEXT-ALIGN: right; PADDING-BOTTOM: 0.25em; BORDER-RIGHT-WIDTH: 1px; BORDER-TOP-COLOR: #888888; PADDING-LEFT: 0.5em; PADDING-RIGHT: 0.5em; BORDER-TOP-WIDTH: 1px; BORDER-BOTTOM-WIDTH: 1px; BORDER-RIGHT-COLOR: #888888; BORDER-LEFT-COLOR: #888888; BORDER-LEFT-WIDTH: 1px; PADDING-TOP: 0.4em"></TD></TR><TR><TD style="BORDER-BOTTOM-COLOR: #000000; TEXT-ALIGN: center; PADDING-BOTTOM: 0.25em; BORDER-RIGHT-WIDTH: 1px; BORDER-TOP-COLOR: #000000; PADDING-LEFT: 0.5em; PADDING-RIGHT: 0.5em; BACKGROUND: #9cf; BORDER-TOP-WIDTH: 1px; BORDER-BOTTOM-WIDTH: 1px; BORDER-RIGHT-COLOR: #000000; BORDER-LEFT-COLOR: #000000; BORDER-LEFT-WIDTH: 1px; PADDING-TOP: 0.4em">6</TD><TD style="BORDER-BOTTOM-COLOR: #888888; TEXT-ALIGN: right; PADDING-BOTTOM: 0.25em; BORDER-RIGHT-WIDTH: 1px; BORDER-TOP-COLOR: #888888; PADDING-LEFT: 0.5em; PADDING-RIGHT: 0.5em; BORDER-TOP-WIDTH: 1px; BORDER-BOTTOM-WIDTH: 1px; BORDER-RIGHT-COLOR: #888888; BORDER-LEFT-COLOR: #888888; BORDER-LEFT-WIDTH: 1px; PADDING-TOP: 0.4em"></TD><TD style="BORDER-BOTTOM-COLOR: #888888; TEXT-ALIGN: right; PADDING-BOTTOM: 0.25em; BORDER-RIGHT-WIDTH: 1px; BORDER-TOP-COLOR: #888888; PADDING-LEFT: 0.5em; PADDING-RIGHT: 0.5em; BORDER-TOP-WIDTH: 1px; BORDER-BOTTOM-WIDTH: 1px; BORDER-RIGHT-COLOR: #888888; BORDER-LEFT-COLOR: #888888; BORDER-LEFT-WIDTH: 1px; PADDING-TOP: 0.4em"></TD><TD style="BORDER-BOTTOM-COLOR: #888888; TEXT-ALIGN: right; PADDING-BOTTOM: 0.25em; BORDER-RIGHT-WIDTH: 1px; BORDER-TOP-COLOR: #888888; PADDING-LEFT: 0.5em; PADDING-RIGHT: 0.5em; BORDER-TOP-WIDTH: 1px; BORDER-BOTTOM-WIDTH: 1px; BORDER-RIGHT-COLOR: #888888; BORDER-LEFT-COLOR: #888888; BORDER-LEFT-WIDTH: 1px; PADDING-TOP: 0.4em"></TD><TD style="BORDER-BOTTOM-COLOR: #888888; TEXT-ALIGN: right; PADDING-BOTTOM: 0.25em; BORDER-RIGHT-WIDTH: 1px; BORDER-TOP-COLOR: #888888; PADDING-LEFT: 0.5em; PADDING-RIGHT: 0.5em; BORDER-TOP-WIDTH: 1px; BORDER-BOTTOM-WIDTH: 1px; BORDER-RIGHT-COLOR: #888888; BORDER-LEFT-COLOR: #888888; BORDER-LEFT-WIDTH: 1px; PADDING-TOP: 0.4em"></TD><TD style="BORDER-BOTTOM-COLOR: #888888; TEXT-ALIGN: right; PADDING-BOTTOM: 0.25em; BORDER-RIGHT-WIDTH: 1px; BORDER-TOP-COLOR: #888888; PADDING-LEFT: 0.5em; PADDING-RIGHT: 0.5em; BORDER-TOP-WIDTH: 1px; BORDER-BOTTOM-WIDTH: 1px; BORDER-RIGHT-COLOR: #888888; BORDER-LEFT-COLOR: #888888; BORDER-LEFT-WIDTH: 1px; PADDING-TOP: 0.4em"></TD><TD style="BORDER-BOTTOM-COLOR: #888888; TEXT-ALIGN: right; PADDING-BOTTOM: 0.25em; BORDER-RIGHT-WIDTH: 1px; BORDER-TOP-COLOR: #888888; PADDING-LEFT: 0.5em; PADDING-RIGHT: 0.5em; BORDER-TOP-WIDTH: 1px; BORDER-BOTTOM-WIDTH: 1px; BORDER-RIGHT-COLOR: #888888; BORDER-LEFT-COLOR: #888888; BORDER-LEFT-WIDTH: 1px; PADDING-TOP: 0.4em"></TD><TD style="BORDER-BOTTOM-COLOR: #888888; TEXT-ALIGN: right; PADDING-BOTTOM: 0.25em; BORDER-RIGHT-WIDTH: 1px; BORDER-TOP-COLOR: #888888; PADDING-LEFT: 0.5em; PADDING-RIGHT: 0.5em; BORDER-TOP-WIDTH: 1px; BORDER-BOTTOM-WIDTH: 1px; BORDER-RIGHT-COLOR: #888888; BORDER-LEFT-COLOR: #888888; BORDER-LEFT-WIDTH: 1px; PADDING-TOP: 0.4em"></TD><TD style="BORDER-BOTTOM-COLOR: #888888; TEXT-ALIGN: right; PADDING-BOTTOM: 0.25em; BORDER-RIGHT-WIDTH: 1px; BORDER-TOP-COLOR: #888888; PADDING-LEFT: 0.5em; PADDING-RIGHT: 0.5em; BORDER-TOP-WIDTH: 1px; BORDER-BOTTOM-WIDTH: 1px; BORDER-RIGHT-COLOR: #888888; BORDER-LEFT-COLOR: #888888; BORDER-LEFT-WIDTH: 1px; PADDING-TOP: 0.4em">120</TD><TD style="BORDER-BOTTOM-COLOR: #888888; TEXT-ALIGN: right; PADDING-BOTTOM: 0.25em; BORDER-RIGHT-WIDTH: 1px; BORDER-TOP-COLOR: #888888; PADDING-LEFT: 0.5em; PADDING-RIGHT: 0.5em; BORDER-TOP-WIDTH: 1px; BORDER-BOTTOM-WIDTH: 1px; BORDER-RIGHT-COLOR: #888888; BORDER-LEFT-COLOR: #888888; BORDER-LEFT-WIDTH: 1px; PADDING-TOP: 0.4em"></TD></TR><TR><TD style="BORDER-BOTTOM-COLOR: #000000; TEXT-ALIGN: center; PADDING-BOTTOM: 0.25em; BORDER-RIGHT-WIDTH: 1px; BORDER-TOP-COLOR: #000000; PADDING-LEFT: 0.5em; PADDING-RIGHT: 0.5em; BACKGROUND: #9cf; BORDER-TOP-WIDTH: 1px; BORDER-BOTTOM-WIDTH: 1px; BORDER-RIGHT-COLOR: #000000; BORDER-LEFT-COLOR: #000000; BORDER-LEFT-WIDTH: 1px; PADDING-TOP: 0.4em">7</TD><TD style="BORDER-BOTTOM-COLOR: #888888; TEXT-ALIGN: right; PADDING-BOTTOM: 0.25em; BORDER-RIGHT-WIDTH: 1px; BORDER-TOP-COLOR: #888888; PADDING-LEFT: 0.5em; PADDING-RIGHT: 0.5em; BORDER-TOP-WIDTH: 1px; BORDER-BOTTOM-WIDTH: 1px; BORDER-RIGHT-COLOR: #888888; BORDER-LEFT-COLOR: #888888; BORDER-LEFT-WIDTH: 1px; PADDING-TOP: 0.4em"></TD><TD style="BORDER-BOTTOM-COLOR: #888888; TEXT-ALIGN: right; PADDING-BOTTOM: 0.25em; BORDER-RIGHT-WIDTH: 1px; BORDER-TOP-COLOR: #888888; PADDING-LEFT: 0.5em; PADDING-RIGHT: 0.5em; BORDER-TOP-WIDTH: 1px; BORDER-BOTTOM-WIDTH: 1px; BORDER-RIGHT-COLOR: #888888; BORDER-LEFT-COLOR: #888888; BORDER-LEFT-WIDTH: 1px; PADDING-TOP: 0.4em"></TD><TD style="BORDER-BOTTOM-COLOR: #888888; TEXT-ALIGN: right; PADDING-BOTTOM: 0.25em; BORDER-RIGHT-WIDTH: 1px; BORDER-TOP-COLOR: #888888; PADDING-LEFT: 0.5em; PADDING-RIGHT: 0.5em; BORDER-TOP-WIDTH: 1px; BORDER-BOTTOM-WIDTH: 1px; BORDER-RIGHT-COLOR: #888888; BORDER-LEFT-COLOR: #888888; BORDER-LEFT-WIDTH: 1px; PADDING-TOP: 0.4em"></TD><TD style="BORDER-BOTTOM-COLOR: #888888; TEXT-ALIGN: right; PADDING-BOTTOM: 0.25em; BORDER-RIGHT-WIDTH: 1px; BORDER-TOP-COLOR: #888888; PADDING-LEFT: 0.5em; PADDING-RIGHT: 0.5em; BORDER-TOP-WIDTH: 1px; BORDER-BOTTOM-WIDTH: 1px; BORDER-RIGHT-COLOR: #888888; BORDER-LEFT-COLOR: #888888; BORDER-LEFT-WIDTH: 1px; PADDING-TOP: 0.4em"></TD><TD style="BORDER-BOTTOM-COLOR: #888888; TEXT-ALIGN: right; PADDING-BOTTOM: 0.25em; BORDER-RIGHT-WIDTH: 1px; BORDER-TOP-COLOR: #888888; PADDING-LEFT: 0.5em; PADDING-RIGHT: 0.5em; BORDER-TOP-WIDTH: 1px; BORDER-BOTTOM-WIDTH: 1px; BORDER-RIGHT-COLOR: #888888; BORDER-LEFT-COLOR: #888888; BORDER-LEFT-WIDTH: 1px; PADDING-TOP: 0.4em"></TD><TD style="BORDER-BOTTOM-COLOR: #888888; TEXT-ALIGN: right; PADDING-BOTTOM: 0.25em; BORDER-RIGHT-WIDTH: 1px; BORDER-TOP-COLOR: #888888; PADDING-LEFT: 0.5em; PADDING-RIGHT: 0.5em; BORDER-TOP-WIDTH: 1px; BORDER-BOTTOM-WIDTH: 1px; BORDER-RIGHT-COLOR: #888888; BORDER-LEFT-COLOR: #888888; BORDER-LEFT-WIDTH: 1px; PADDING-TOP: 0.4em"></TD><TD style="BORDER-BOTTOM-COLOR: #888888; TEXT-ALIGN: right; PADDING-BOTTOM: 0.25em; BORDER-RIGHT-WIDTH: 1px; BORDER-TOP-COLOR: #888888; PADDING-LEFT: 0.5em; PADDING-RIGHT: 0.5em; BORDER-TOP-WIDTH: 1px; BORDER-BOTTOM-WIDTH: 1px; BORDER-RIGHT-COLOR: #888888; BORDER-LEFT-COLOR: #888888; BORDER-LEFT-WIDTH: 1px; PADDING-TOP: 0.4em"></TD><TD style="BORDER-BOTTOM-COLOR: #888888; TEXT-ALIGN: right; PADDING-BOTTOM: 0.25em; BORDER-RIGHT-WIDTH: 1px; BORDER-TOP-COLOR: #888888; PADDING-LEFT: 0.5em; PADDING-RIGHT: 0.5em; BORDER-TOP-WIDTH: 1px; BORDER-BOTTOM-WIDTH: 1px; BORDER-RIGHT-COLOR: #888888; BORDER-LEFT-COLOR: #888888; BORDER-LEFT-WIDTH: 1px; PADDING-TOP: 0.4em">85</TD><TD style="BORDER-BOTTOM-COLOR: #888888; TEXT-ALIGN: right; PADDING-BOTTOM: 0.25em; BORDER-RIGHT-WIDTH: 1px; BORDER-TOP-COLOR: #888888; PADDING-LEFT: 0.5em; PADDING-RIGHT: 0.5em; BORDER-TOP-WIDTH: 1px; BORDER-BOTTOM-WIDTH: 1px; BORDER-RIGHT-COLOR: #888888; BORDER-LEFT-COLOR: #888888; BORDER-LEFT-WIDTH: 1px; PADDING-TOP: 0.4em"></TD></TR><TR><TD style="BORDER-BOTTOM-COLOR: #000000; TEXT-ALIGN: center; PADDING-BOTTOM: 0.25em; BORDER-RIGHT-WIDTH: 1px; BORDER-TOP-COLOR: #000000; PADDING-LEFT: 0.5em; PADDING-RIGHT: 0.5em; BACKGROUND: #9cf; BORDER-TOP-WIDTH: 1px; BORDER-BOTTOM-WIDTH: 1px; BORDER-RIGHT-COLOR: #000000; BORDER-LEFT-COLOR: #000000; BORDER-LEFT-WIDTH: 1px; PADDING-TOP: 0.4em">8</TD><TD style="BORDER-BOTTOM-COLOR: #888888; TEXT-ALIGN: right; PADDING-BOTTOM: 0.25em; BORDER-RIGHT-WIDTH: 1px; BORDER-TOP-COLOR: #888888; PADDING-LEFT: 0.5em; PADDING-RIGHT: 0.5em; BORDER-TOP-WIDTH: 1px; BORDER-BOTTOM-WIDTH: 1px; BORDER-RIGHT-COLOR: #888888; BORDER-LEFT-COLOR: #888888; BORDER-LEFT-WIDTH: 1px; PADDING-TOP: 0.4em"></TD><TD style="BORDER-BOTTOM-COLOR: #888888; TEXT-ALIGN: right; PADDING-BOTTOM: 0.25em; BORDER-RIGHT-WIDTH: 1px; BORDER-TOP-COLOR: #888888; PADDING-LEFT: 0.5em; PADDING-RIGHT: 0.5em; BORDER-TOP-WIDTH: 1px; BORDER-BOTTOM-WIDTH: 1px; BORDER-RIGHT-COLOR: #888888; BORDER-LEFT-COLOR: #888888; BORDER-LEFT-WIDTH: 1px; PADDING-TOP: 0.4em"></TD><TD style="BORDER-BOTTOM-COLOR: #888888; TEXT-ALIGN: right; PADDING-BOTTOM: 0.25em; BORDER-RIGHT-WIDTH: 1px; BORDER-TOP-COLOR: #888888; PADDING-LEFT: 0.5em; PADDING-RIGHT: 0.5em; BORDER-TOP-WIDTH: 1px; BORDER-BOTTOM-WIDTH: 1px; BORDER-RIGHT-COLOR: #888888; BORDER-LEFT-COLOR: #888888; BORDER-LEFT-WIDTH: 1px; PADDING-TOP: 0.4em"></TD><TD style="BORDER-BOTTOM-COLOR: #888888; TEXT-ALIGN: right; PADDING-BOTTOM: 0.25em; BORDER-RIGHT-WIDTH: 1px; BORDER-TOP-COLOR: #888888; PADDING-LEFT: 0.5em; PADDING-RIGHT: 0.5em; BORDER-TOP-WIDTH: 1px; BORDER-BOTTOM-WIDTH: 1px; BORDER-RIGHT-COLOR: #888888; BORDER-LEFT-COLOR: #888888; BORDER-LEFT-WIDTH: 1px; PADDING-TOP: 0.4em"></TD><TD style="BORDER-BOTTOM-COLOR: #888888; TEXT-ALIGN: right; PADDING-BOTTOM: 0.25em; BORDER-RIGHT-WIDTH: 1px; BORDER-TOP-COLOR: #888888; PADDING-LEFT: 0.5em; PADDING-RIGHT: 0.5em; BORDER-TOP-WIDTH: 1px; BORDER-BOTTOM-WIDTH: 1px; BORDER-RIGHT-COLOR: #888888; BORDER-LEFT-COLOR: #888888; BORDER-LEFT-WIDTH: 1px; PADDING-TOP: 0.4em"></TD><TD style="BORDER-BOTTOM-COLOR: #888888; TEXT-ALIGN: right; PADDING-BOTTOM: 0.25em; BORDER-RIGHT-WIDTH: 1px; BORDER-TOP-COLOR: #888888; PADDING-LEFT: 0.5em; PADDING-RIGHT: 0.5em; BORDER-TOP-WIDTH: 1px; BORDER-BOTTOM-WIDTH: 1px; BORDER-RIGHT-COLOR: #888888; BORDER-LEFT-COLOR: #888888; BORDER-LEFT-WIDTH: 1px; PADDING-TOP: 0.4em"></TD><TD style="BORDER-BOTTOM-COLOR: #888888; TEXT-ALIGN: right; PADDING-BOTTOM: 0.25em; BORDER-RIGHT-WIDTH: 1px; BORDER-TOP-COLOR: #888888; PADDING-LEFT: 0.5em; PADDING-RIGHT: 0.5em; BORDER-TOP-WIDTH: 1px; BORDER-BOTTOM-WIDTH: 1px; BORDER-RIGHT-COLOR: #888888; BORDER-LEFT-COLOR: #888888; BORDER-LEFT-WIDTH: 1px; PADDING-TOP: 0.4em"></TD><TD style="BORDER-BOTTOM-COLOR: #888888; TEXT-ALIGN: right; PADDING-BOTTOM: 0.25em; BORDER-RIGHT-WIDTH: 1px; BORDER-TOP-COLOR: #888888; PADDING-LEFT: 0.5em; PADDING-RIGHT: 0.5em; BORDER-TOP-WIDTH: 1px; BORDER-BOTTOM-WIDTH: 1px; BORDER-RIGHT-COLOR: #888888; BORDER-LEFT-COLOR: #888888; BORDER-LEFT-WIDTH: 1px; PADDING-TOP: 0.4em">89</TD><TD style="BORDER-BOTTOM-COLOR: #888888; TEXT-ALIGN: right; PADDING-BOTTOM: 0.25em; BORDER-RIGHT-WIDTH: 1px; BORDER-TOP-COLOR: #888888; PADDING-LEFT: 0.5em; PADDING-RIGHT: 0.5em; BORDER-TOP-WIDTH: 1px; BORDER-BOTTOM-WIDTH: 1px; BORDER-RIGHT-COLOR: #888888; BORDER-LEFT-COLOR: #888888; BORDER-LEFT-WIDTH: 1px; PADDING-TOP: 0.4em"></TD></TR><TR><TD style="BORDER-BOTTOM-COLOR: #000000; TEXT-ALIGN: center; PADDING-BOTTOM: 0.25em; BORDER-RIGHT-WIDTH: 1px; BORDER-TOP-COLOR: #000000; PADDING-LEFT: 0.5em; PADDING-RIGHT: 0.5em; BACKGROUND: #9cf; BORDER-TOP-WIDTH: 1px; BORDER-BOTTOM-WIDTH: 1px; BORDER-RIGHT-COLOR: #000000; BORDER-LEFT-COLOR: #000000; BORDER-LEFT-WIDTH: 1px; PADDING-TOP: 0.4em">9</TD><TD style="BORDER-BOTTOM-COLOR: #888888; TEXT-ALIGN: right; PADDING-BOTTOM: 0.25em; BORDER-RIGHT-WIDTH: 1px; BORDER-TOP-COLOR: #888888; PADDING-LEFT: 0.5em; PADDING-RIGHT: 0.5em; BORDER-TOP-WIDTH: 1px; BORDER-BOTTOM-WIDTH: 1px; BORDER-RIGHT-COLOR: #888888; BORDER-LEFT-COLOR: #888888; BORDER-LEFT-WIDTH: 1px; PADDING-TOP: 0.4em"></TD><TD style="BORDER-BOTTOM-COLOR: #888888; TEXT-ALIGN: right; PADDING-BOTTOM: 0.25em; BORDER-RIGHT-WIDTH: 1px; BORDER-TOP-COLOR: #888888; PADDING-LEFT: 0.5em; PADDING-RIGHT: 0.5em; BORDER-TOP-WIDTH: 1px; BORDER-BOTTOM-WIDTH: 1px; BORDER-RIGHT-COLOR: #888888; BORDER-LEFT-COLOR: #888888; BORDER-LEFT-WIDTH: 1px; PADDING-TOP: 0.4em"></TD><TD style="BORDER-BOTTOM-COLOR: #888888; TEXT-ALIGN: right; PADDING-BOTTOM: 0.25em; BORDER-RIGHT-WIDTH: 1px; BORDER-TOP-COLOR: #888888; PADDING-LEFT: 0.5em; PADDING-RIGHT: 0.5em; BORDER-TOP-WIDTH: 1px; BORDER-BOTTOM-WIDTH: 1px; BORDER-RIGHT-COLOR: #888888; BORDER-LEFT-COLOR: #888888; BORDER-LEFT-WIDTH: 1px; PADDING-TOP: 0.4em"></TD><TD style="BORDER-BOTTOM-COLOR: #888888; TEXT-ALIGN: right; PADDING-BOTTOM: 0.25em; BORDER-RIGHT-WIDTH: 1px; BORDER-TOP-COLOR: #888888; PADDING-LEFT: 0.5em; PADDING-RIGHT: 0.5em; BORDER-TOP-WIDTH: 1px; BORDER-BOTTOM-WIDTH: 1px; BORDER-RIGHT-COLOR: #888888; BORDER-LEFT-COLOR: #888888; BORDER-LEFT-WIDTH: 1px; PADDING-TOP: 0.4em"></TD><TD style="BORDER-BOTTOM-COLOR: #888888; TEXT-ALIGN: right; PADDING-BOTTOM: 0.25em; BORDER-RIGHT-WIDTH: 1px; BORDER-TOP-COLOR: #888888; PADDING-LEFT: 0.5em; PADDING-RIGHT: 0.5em; BORDER-TOP-WIDTH: 1px; BORDER-BOTTOM-WIDTH: 1px; BORDER-RIGHT-COLOR: #888888; BORDER-LEFT-COLOR: #888888; BORDER-LEFT-WIDTH: 1px; PADDING-TOP: 0.4em"></TD><TD style="BORDER-BOTTOM-COLOR: #888888; TEXT-ALIGN: right; PADDING-BOTTOM: 0.25em; BORDER-RIGHT-WIDTH: 1px; BORDER-TOP-COLOR: #888888; PADDING-LEFT: 0.5em; PADDING-RIGHT: 0.5em; BORDER-TOP-WIDTH: 1px; BORDER-BOTTOM-WIDTH: 1px; BORDER-RIGHT-COLOR: #888888; BORDER-LEFT-COLOR: #888888; BORDER-LEFT-WIDTH: 1px; PADDING-TOP: 0.4em"></TD><TD style="BORDER-BOTTOM-COLOR: #888888; TEXT-ALIGN: right; PADDING-BOTTOM: 0.25em; BORDER-RIGHT-WIDTH: 1px; BORDER-TOP-COLOR: #888888; PADDING-LEFT: 0.5em; PADDING-RIGHT: 0.5em; BORDER-TOP-WIDTH: 1px; BORDER-BOTTOM-WIDTH: 1px; BORDER-RIGHT-COLOR: #888888; BORDER-LEFT-COLOR: #888888; BORDER-LEFT-WIDTH: 1px; PADDING-TOP: 0.4em"></TD><TD style="BORDER-BOTTOM-COLOR: #888888; TEXT-ALIGN: right; PADDING-BOTTOM: 0.25em; BORDER-RIGHT-WIDTH: 1px; BORDER-TOP-COLOR: #888888; PADDING-LEFT: 0.5em; PADDING-RIGHT: 0.5em; BORDER-TOP-WIDTH: 1px; BORDER-BOTTOM-WIDTH: 1px; BORDER-RIGHT-COLOR: #888888; BORDER-LEFT-COLOR: #888888; BORDER-LEFT-WIDTH: 1px; PADDING-TOP: 0.4em">84</TD><TD style="BORDER-BOTTOM-COLOR: #888888; TEXT-ALIGN: right; PADDING-BOTTOM: 0.25em; BORDER-RIGHT-WIDTH: 1px; BORDER-TOP-COLOR: #888888; PADDING-LEFT: 0.5em; PADDING-RIGHT: 0.5em; BORDER-TOP-WIDTH: 1px; BORDER-BOTTOM-WIDTH: 1px; BORDER-RIGHT-COLOR: #888888; BORDER-LEFT-COLOR: #888888; BORDER-LEFT-WIDTH: 1px; PADDING-TOP: 0.4em"></TD></TR><TR><TD style="BORDER-BOTTOM-COLOR: #000000; TEXT-ALIGN: center; PADDING-BOTTOM: 0.25em; BORDER-RIGHT-WIDTH: 1px; BORDER-TOP-COLOR: #000000; PADDING-LEFT: 0.5em; PADDING-RIGHT: 0.5em; BACKGROUND: #9cf; BORDER-TOP-WIDTH: 1px; BORDER-BOTTOM-WIDTH: 1px; BORDER-RIGHT-COLOR: #000000; BORDER-LEFT-COLOR: #000000; BORDER-LEFT-WIDTH: 1px; PADDING-TOP: 0.4em">10</TD><TD style="BORDER-BOTTOM-COLOR: #888888; TEXT-ALIGN: right; PADDING-BOTTOM: 0.25em; BORDER-RIGHT-WIDTH: 1px; BORDER-TOP-COLOR: #888888; PADDING-LEFT: 0.5em; PADDING-RIGHT: 0.5em; BORDER-TOP-WIDTH: 1px; BORDER-BOTTOM-WIDTH: 1px; BORDER-RIGHT-COLOR: #888888; BORDER-LEFT-COLOR: #888888; BORDER-LEFT-WIDTH: 1px; PADDING-TOP: 0.4em"></TD><TD style="BORDER-BOTTOM-COLOR: #888888; TEXT-ALIGN: right; PADDING-BOTTOM: 0.25em; BORDER-RIGHT-WIDTH: 1px; BORDER-TOP-COLOR: #888888; PADDING-LEFT: 0.5em; PADDING-RIGHT: 0.5em; BORDER-TOP-WIDTH: 1px; BORDER-BOTTOM-WIDTH: 1px; BORDER-RIGHT-COLOR: #888888; BORDER-LEFT-COLOR: #888888; BORDER-LEFT-WIDTH: 1px; PADDING-TOP: 0.4em"></TD><TD style="BORDER-BOTTOM-COLOR: #888888; TEXT-ALIGN: right; PADDING-BOTTOM: 0.25em; BORDER-RIGHT-WIDTH: 1px; BORDER-TOP-COLOR: #888888; PADDING-LEFT: 0.5em; PADDING-RIGHT: 0.5em; BORDER-TOP-WIDTH: 1px; BORDER-BOTTOM-WIDTH: 1px; BORDER-RIGHT-COLOR: #888888; BORDER-LEFT-COLOR: #888888; BORDER-LEFT-WIDTH: 1px; PADDING-TOP: 0.4em"></TD><TD style="BORDER-BOTTOM-COLOR: #888888; TEXT-ALIGN: right; PADDING-BOTTOM: 0.25em; BORDER-RIGHT-WIDTH: 1px; BORDER-TOP-COLOR: #888888; PADDING-LEFT: 0.5em; PADDING-RIGHT: 0.5em; BORDER-TOP-WIDTH: 1px; BORDER-BOTTOM-WIDTH: 1px; BORDER-RIGHT-COLOR: #888888; BORDER-LEFT-COLOR: #888888; BORDER-LEFT-WIDTH: 1px; PADDING-TOP: 0.4em"></TD><TD style="BORDER-BOTTOM-COLOR: #888888; TEXT-ALIGN: right; PADDING-BOTTOM: 0.25em; BORDER-RIGHT-WIDTH: 1px; BORDER-TOP-COLOR: #888888; PADDING-LEFT: 0.5em; PADDING-RIGHT: 0.5em; BORDER-TOP-WIDTH: 1px; BORDER-BOTTOM-WIDTH: 1px; BORDER-RIGHT-COLOR: #888888; BORDER-LEFT-COLOR: #888888; BORDER-LEFT-WIDTH: 1px; PADDING-TOP: 0.4em"></TD><TD style="BORDER-BOTTOM-COLOR: #888888; TEXT-ALIGN: right; PADDING-BOTTOM: 0.25em; BORDER-RIGHT-WIDTH: 1px; BORDER-TOP-COLOR: #888888; PADDING-LEFT: 0.5em; PADDING-RIGHT: 0.5em; BORDER-TOP-WIDTH: 1px; BORDER-BOTTOM-WIDTH: 1px; BORDER-RIGHT-COLOR: #888888; BORDER-LEFT-COLOR: #888888; BORDER-LEFT-WIDTH: 1px; PADDING-TOP: 0.4em"></TD><TD style="BORDER-BOTTOM-COLOR: #888888; TEXT-ALIGN: right; PADDING-BOTTOM: 0.25em; BORDER-RIGHT-WIDTH: 1px; BORDER-TOP-COLOR: #888888; PADDING-LEFT: 0.5em; PADDING-RIGHT: 0.5em; BORDER-TOP-WIDTH: 1px; BORDER-BOTTOM-WIDTH: 1px; BORDER-RIGHT-COLOR: #888888; BORDER-LEFT-COLOR: #888888; BORDER-LEFT-WIDTH: 1px; PADDING-TOP: 0.4em"></TD><TD style="BORDER-BOTTOM-COLOR: #888888; TEXT-ALIGN: right; PADDING-BOTTOM: 0.25em; BORDER-RIGHT-WIDTH: 1px; BORDER-TOP-COLOR: #888888; PADDING-LEFT: 0.5em; PADDING-RIGHT: 0.5em; BORDER-TOP-WIDTH: 1px; BORDER-BOTTOM-WIDTH: 1px; BORDER-RIGHT-COLOR: #888888; BORDER-LEFT-COLOR: #888888; BORDER-LEFT-WIDTH: 1px; PADDING-TOP: 0.4em"></TD><TD style="BORDER-BOTTOM-COLOR: #888888; TEXT-ALIGN: right; PADDING-BOTTOM: 0.25em; BORDER-RIGHT-WIDTH: 1px; BORDER-TOP-COLOR: #888888; PADDING-LEFT: 0.5em; PADDING-RIGHT: 0.5em; BORDER-TOP-WIDTH: 1px; BORDER-BOTTOM-WIDTH: 1px; BORDER-RIGHT-COLOR: #888888; BORDER-LEFT-COLOR: #888888; BORDER-LEFT-WIDTH: 1px; PADDING-TOP: 0.4em"></TD></TR><TR><TD style="PADDING-LEFT: 1em; BACKGROUND: #9cf" colSpan=10>[Book1]Sheet2</TD></TR></TBODY></TABLE>
 
Last edited:
Upvote 0
Thank you very much for your reply.

Let me study your code, I'll come back later with the results.

Thank you again. Stefan
 
Upvote 0
Hello again.
I've come back to ask for an explanation of the code given by pcg01.
I really can't understand fully this line:

Code: 
vPoly = Split(Trim(Join(Application.Transpose(r.Columns(j)))))
Thank you.
 
Upvote 0
Or maybe someone can tell me where I can find a good reference manual. My VBA help files are incomplete, same as MSDN Library October 2001.
 
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