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<H2><A NAME="SECTION00062000000000000000">
psb_ovrl -- Overlap Update</A>
</H2>

<P>
These subroutines applies an overlap operator to the input vector:

<P>
<BR><P></P>
<DIV ALIGN="CENTER" CLASS="mathdisplay">
<!-- MATH
 \begin{displaymath}
x \leftarrow Q x
\end{displaymath}
 -->

<IMG
 WIDTH="55" HEIGHT="27" BORDER="0"
 SRC="img63.png"
 ALT="\begin{displaymath}x \leftarrow Q x \end{displaymath}">
</DIV>
<BR CLEAR="ALL">
<P></P>
where:
<DL>
<DT><STRONG><SPAN CLASS="MATH"><IMG
 WIDTH="13" HEIGHT="13" ALIGN="BOTTOM" BORDER="0"
 SRC="img20.png"
 ALT="$x$"></SPAN></STRONG></DT>
<DD>is the global dense submatrix <SPAN CLASS="MATH"><IMG
 WIDTH="13" HEIGHT="13" ALIGN="BOTTOM" BORDER="0"
 SRC="img20.png"
 ALT="$x$"></SPAN>
</DD>
<DT><STRONG><SPAN CLASS="MATH"><IMG
 WIDTH="16" HEIGHT="30" ALIGN="MIDDLE" BORDER="0"
 SRC="img64.png"
 ALT="$Q$"></SPAN></STRONG></DT>
<DD>is the overlap operator; it is the composition of two
operators <SPAN CLASS="MATH"><IMG
 WIDTH="22" HEIGHT="30" ALIGN="MIDDLE" BORDER="0"
 SRC="img65.png"
 ALT="$P_a$"></SPAN> and <SPAN CLASS="MATH"><IMG
 WIDTH="26" HEIGHT="20" ALIGN="BOTTOM" BORDER="0"
 SRC="img66.png"
 ALT="$P^{T}$"></SPAN>. 
</DD>
</DL>

<P>
<BR><P></P>
<DIV ALIGN="CENTER"><A NAME="3470"></A>
<TABLE>
<CAPTION><STRONG>Table 15:</STRONG>
Data types</CAPTION>
<TR><TD>
<DIV ALIGN="CENTER">
<TABLE CELLPADDING=3 BORDER="1" ALIGN="CENTER">
<TR><TD ALIGN="LEFT"><SPAN CLASS="MATH"><IMG
 WIDTH="13" HEIGHT="13" ALIGN="BOTTOM" BORDER="0"
 SRC="img20.png"
 ALT="$x$"></SPAN></TD>
<TD ALIGN="LEFT"><B>Subroutine</B></TD>
</TR>
<TR><TD ALIGN="LEFT">Short Precision Real</TD>
<TD ALIGN="LEFT">psb_ovrl</TD>
</TR>
<TR><TD ALIGN="LEFT">Long Precision Real</TD>
<TD ALIGN="LEFT">psb_ovrl</TD>
</TR>
<TR><TD ALIGN="LEFT">Short Precision Complex</TD>
<TD ALIGN="LEFT">psb_ovrl</TD>
</TR>
<TR><TD ALIGN="LEFT">Long Precision Complex</TD>
<TD ALIGN="LEFT">psb_ovrl</TD>
</TR>
</TABLE>
</DIV>
</TD></TR>
</TABLE>
</DIV><P></P>
<BR>

<P>
<BR>
<IMG
 WIDTH="576" HEIGHT="35" ALIGN="BOTTOM" BORDER="0"
 SRC="img67.png"
 ALT="\begin{lstlisting}
call psb_ovrl(x, desc_a, info)
call psb_ovrl(x, desc_a, info, update=update_type, work=work)
\end{lstlisting}">
<BR> 

<P>
<DL>
<DT><STRONG>Type:</STRONG></DT>
<DD>Synchronous.
</DD>
<DT><STRONG><B>On Entry</B></STRONG></DT>
<DD>
</DD>
<DT><STRONG>x</STRONG></DT>
<DD>global dense matrix <SPAN CLASS="MATH"><IMG
 WIDTH="13" HEIGHT="13" ALIGN="BOTTOM" BORDER="0"
 SRC="img20.png"
 ALT="$x$"></SPAN>.
<BR>
Scope: <B>local</B> 
<BR>
Type: <B>required</B> 
<BR>
Intent: <B>inout</B>.
<BR>
Specified as:  a rank one or two array or an object of type vdata<TT>psb_T_vect_type</TT> 
containing numbers of type specified in
Table&nbsp;<A HREF="#tab:f90ovrl">15</A>.
</DD>
<DT><STRONG>desc_a</STRONG></DT>
<DD>contains data structures for communications.
<BR>
Scope: <B>local</B> 
<BR>
Type: <B>required</B>
<BR>
Intent: <B>in</B>.
<BR>
Specified as: a structured data of type descdata<TT>psb_desc_type</TT>.
</DD>
<DT><STRONG>update</STRONG></DT>
<DD>Update operator. 
<BR><DL>
<DT><STRONG>update = psb_none_</STRONG></DT>
<DD>Do nothing;
</DD>
<DT><STRONG>update = psb_add_</STRONG></DT>
<DD>Sum overlap entries, i.e. apply <SPAN CLASS="MATH"><IMG
 WIDTH="26" HEIGHT="20" ALIGN="BOTTOM" BORDER="0"
 SRC="img68.png"
 ALT="$P^T$"></SPAN>;
</DD>
<DT><STRONG>update = psb_avg_</STRONG></DT>
<DD>Average overlap entries, i.e. apply <SPAN CLASS="MATH"><IMG
 WIDTH="45" HEIGHT="35" ALIGN="MIDDLE" BORDER="0"
 SRC="img69.png"
 ALT="$P_aP^T$"></SPAN>;
</DD>
</DL>
Scope: <B>global</B> 
<BR>
Intent: <B>in</B>.
<BR>
Default: <!-- MATH
 $update\_type = psb\_avg\_$
 -->
<SPAN CLASS="MATH"><IMG
 WIDTH="166" HEIGHT="30" ALIGN="MIDDLE" BORDER="0"
 SRC="img70.png"
 ALT="$update\_type = psb\_avg\_ $"></SPAN>
<BR>
Scope: <B>global</B> 
<BR>
Specified as: a integer variable.
</DD>
<DT><STRONG>work</STRONG></DT>
<DD>the work array. 
<BR>
Scope: <B>local</B> 
<BR>
Type: <B>optional</B>
<BR>
Intent: <B>inout</B>.
<BR>
Specified as: a one dimensional array of the same type of <SPAN CLASS="MATH"><IMG
 WIDTH="13" HEIGHT="13" ALIGN="BOTTOM" BORDER="0"
 SRC="img20.png"
 ALT="$x$"></SPAN>.

<P>
</DD>
<DT><STRONG><B>On Return</B></STRONG></DT>
<DD>
</DD>
<DT><STRONG>x</STRONG></DT>
<DD>global dense result matrix <SPAN CLASS="MATH"><IMG
 WIDTH="13" HEIGHT="13" ALIGN="BOTTOM" BORDER="0"
 SRC="img20.png"
 ALT="$x$"></SPAN>.
<BR>
Scope: <B>local</B> 
<BR>
Type: <B>required</B> 
<BR>
Intent: <B>inout</B>.
<BR>
Specified as: an  array of rank one or two
containing numbers of type specified in
Table&nbsp;<A HREF="#tab:f90ovrl">15</A>.
</DD>
<DT><STRONG>info</STRONG></DT>
<DD>Error code.
<BR>
Scope: <B>local</B> 
<BR>
Type: <B>required</B> 
<BR>
Intent: <B>out</B>.
<BR>
An integer value; 0 means no error has been detected. 
</DD>
</DL>

<P>
<BIG CLASS="LARGE"><B>Notes</B></BIG>

<OL>
<LI>If there is no overlap in the data distribution associated with
  the descriptor, no operations are performed;
</LI>
<LI>The operator <SPAN CLASS="MATH"><IMG
 WIDTH="26" HEIGHT="20" ALIGN="BOTTOM" BORDER="0"
 SRC="img66.png"
 ALT="$P^{T}$"></SPAN> performs the reduction sum of overlap
elements; it is a &ldquo;prolongation&rdquo; operator <SPAN CLASS="MATH"><IMG
 WIDTH="26" HEIGHT="20" ALIGN="BOTTOM" BORDER="0"
 SRC="img68.png"
 ALT="$P^T$"></SPAN> that
replicates overlap elements, accounting for the physical replication
of data;
</LI>
<LI>The operator <SPAN CLASS="MATH"><IMG
 WIDTH="22" HEIGHT="30" ALIGN="MIDDLE" BORDER="0"
 SRC="img65.png"
 ALT="$P_a$"></SPAN> performs a scaling on the overlap elements by
the amount of replication; thus, when combined with the reduction
operator, it implements the average of replicated elements over all of
their instances. 
</LI>
</OL>

<P>

<DIV ALIGN="CENTER"><A NAME="fig:try8x8_ov"></A><A NAME="3472"></A>
<TABLE>
<CAPTION ALIGN="BOTTOM"><STRONG>Figure 8:</STRONG>
Sample discretization mesh.</CAPTION>
<TR><TD>
<DIV ALIGN="CENTER">
<IMG
 WIDTH="533" HEIGHT="453" ALIGN="BOTTOM" BORDER="0"
 SRC="img72.png"
 ALT="\includegraphics[scale=0.65]{figures/try8x8_ov.eps}">

<IMG
 WIDTH="533" HEIGHT="453" ALIGN="BOTTOM" BORDER="0"
 SRC="img71.png"
 ALT="\includegraphics[scale=0.65]{figures/try8x8_ov}">

</DIV></TD></TR>
</TABLE>
</DIV>

<BIG CLASS="LARGE"><B>Example of use</B></BIG>
Consider the discretization mesh depicted in fig.&nbsp;<A HREF="#fig:try8x8_ov">8</A>,
partitioned among two processes as shown by the dashed lines, with an
overlap of 1 extra layer with respect to the partition of
fig.&nbsp;<A HREF="node67.html#fig:try8x8">7</A>; the data 
distribution is such that each process will own 40 entries in the
index space, with an overlap of 16  entries placed at local indices 25 
through 40; the halo will run from local index 41 through local index 48.. If process 0 assigns an initial value of 1 to its entries
in the <SPAN CLASS="MATH"><IMG
 WIDTH="13" HEIGHT="13" ALIGN="BOTTOM" BORDER="0"
 SRC="img20.png"
 ALT="$x$"></SPAN> vector, and process 1 assigns a value of 2, then after a
call to <code>psb_ovrl</code> with <code>psb_avg_</code> and a call to
<code>psb_halo_</code> the contents of the local vectors will be the
following (showing a transition among the two subdomains)  

<P>
<BR>
<DIV ALIGN="CENTER">
<TABLE CELLPADDING=3 ALIGN="CENTER">
<TR><TD ALIGN="CENTER" COLSPAN=3><SMALL CLASS="FOOTNOTESIZE">
<SPAN>Process  0</SPAN></SMALL></TD>
<TD ALIGN="LEFT">&nbsp;</TD><TD ALIGN="CENTER" COLSPAN=3><SMALL CLASS="FOOTNOTESIZE">
<SPAN>Process  1</SPAN></SMALL></TD>
</TR>
<TR><TD ALIGN="RIGHT"><SMALL CLASS="FOOTNOTESIZE"> 
  I  </SMALL></TD>
<TD ALIGN="RIGHT"><SMALL CLASS="FOOTNOTESIZE">   GLOB(I) </SMALL></TD>
<TD ALIGN="RIGHT"><SMALL CLASS="FOOTNOTESIZE"> X(I)  </SMALL></TD>
<TD ALIGN="LEFT">&nbsp;</TD><TD ALIGN="RIGHT"><SMALL CLASS="FOOTNOTESIZE">   I </SMALL></TD>
<TD ALIGN="RIGHT"><SMALL CLASS="FOOTNOTESIZE"> GLOB(I) </SMALL></TD>
<TD ALIGN="RIGHT"><SMALL CLASS="FOOTNOTESIZE"> X(I) </SMALL></TD>
</TR>
<TR><TD ALIGN="RIGHT"><SMALL CLASS="FOOTNOTESIZE"> 
  1   </SMALL></TD>
<TD ALIGN="RIGHT"><SMALL CLASS="FOOTNOTESIZE">    1  </SMALL></TD>
<TD ALIGN="RIGHT"><SMALL CLASS="FOOTNOTESIZE">  1.0   </SMALL></TD>
<TD ALIGN="LEFT">&nbsp;</TD><TD ALIGN="RIGHT"><SMALL CLASS="FOOTNOTESIZE">   1  </SMALL></TD>
<TD ALIGN="RIGHT"><SMALL CLASS="FOOTNOTESIZE">  33  </SMALL></TD>
<TD ALIGN="RIGHT"><SMALL CLASS="FOOTNOTESIZE">   1.5 </SMALL></TD>
</TR>
<TR><TD ALIGN="RIGHT"><SMALL CLASS="FOOTNOTESIZE">  
  2   </SMALL></TD>
<TD ALIGN="RIGHT"><SMALL CLASS="FOOTNOTESIZE">    2  </SMALL></TD>
<TD ALIGN="RIGHT"><SMALL CLASS="FOOTNOTESIZE">  1.0   </SMALL></TD>
<TD ALIGN="LEFT">&nbsp;</TD><TD ALIGN="RIGHT"><SMALL CLASS="FOOTNOTESIZE">   2  </SMALL></TD>
<TD ALIGN="RIGHT"><SMALL CLASS="FOOTNOTESIZE">  34  </SMALL></TD>
<TD ALIGN="RIGHT"><SMALL CLASS="FOOTNOTESIZE">   1.5 </SMALL></TD>
</TR>
<TR><TD ALIGN="RIGHT"><SMALL CLASS="FOOTNOTESIZE"> 
  3   </SMALL></TD>
<TD ALIGN="RIGHT"><SMALL CLASS="FOOTNOTESIZE">    3  </SMALL></TD>
<TD ALIGN="RIGHT"><SMALL CLASS="FOOTNOTESIZE">  1.0   </SMALL></TD>
<TD ALIGN="LEFT">&nbsp;</TD><TD ALIGN="RIGHT"><SMALL CLASS="FOOTNOTESIZE">   3  </SMALL></TD>
<TD ALIGN="RIGHT"><SMALL CLASS="FOOTNOTESIZE">  35  </SMALL></TD>
<TD ALIGN="RIGHT"><SMALL CLASS="FOOTNOTESIZE">   1.5 </SMALL></TD>
</TR>
<TR><TD ALIGN="RIGHT"><SMALL CLASS="FOOTNOTESIZE"> 
  4   </SMALL></TD>
<TD ALIGN="RIGHT"><SMALL CLASS="FOOTNOTESIZE">    4  </SMALL></TD>
<TD ALIGN="RIGHT"><SMALL CLASS="FOOTNOTESIZE">  1.0   </SMALL></TD>
<TD ALIGN="LEFT">&nbsp;</TD><TD ALIGN="RIGHT"><SMALL CLASS="FOOTNOTESIZE">   4  </SMALL></TD>
<TD ALIGN="RIGHT"><SMALL CLASS="FOOTNOTESIZE">  36  </SMALL></TD>
<TD ALIGN="RIGHT"><SMALL CLASS="FOOTNOTESIZE">   1.5 </SMALL></TD>
</TR>
<TR><TD ALIGN="RIGHT"><SMALL CLASS="FOOTNOTESIZE"> 
  5   </SMALL></TD>
<TD ALIGN="RIGHT"><SMALL CLASS="FOOTNOTESIZE">    5  </SMALL></TD>
<TD ALIGN="RIGHT"><SMALL CLASS="FOOTNOTESIZE">  1.0   </SMALL></TD>
<TD ALIGN="LEFT">&nbsp;</TD><TD ALIGN="RIGHT"><SMALL CLASS="FOOTNOTESIZE">   5  </SMALL></TD>
<TD ALIGN="RIGHT"><SMALL CLASS="FOOTNOTESIZE">  37  </SMALL></TD>
<TD ALIGN="RIGHT"><SMALL CLASS="FOOTNOTESIZE">   1.5 </SMALL></TD>
</TR>
<TR><TD ALIGN="RIGHT"><SMALL CLASS="FOOTNOTESIZE"> 
  6   </SMALL></TD>
<TD ALIGN="RIGHT"><SMALL CLASS="FOOTNOTESIZE">    6  </SMALL></TD>
<TD ALIGN="RIGHT"><SMALL CLASS="FOOTNOTESIZE">  1.0   </SMALL></TD>
<TD ALIGN="LEFT">&nbsp;</TD><TD ALIGN="RIGHT"><SMALL CLASS="FOOTNOTESIZE">   6  </SMALL></TD>
<TD ALIGN="RIGHT"><SMALL CLASS="FOOTNOTESIZE">  38  </SMALL></TD>
<TD ALIGN="RIGHT"><SMALL CLASS="FOOTNOTESIZE">   1.5 </SMALL></TD>
</TR>
<TR><TD ALIGN="RIGHT"><SMALL CLASS="FOOTNOTESIZE"> 
  7   </SMALL></TD>
<TD ALIGN="RIGHT"><SMALL CLASS="FOOTNOTESIZE">    7  </SMALL></TD>
<TD ALIGN="RIGHT"><SMALL CLASS="FOOTNOTESIZE">  1.0   </SMALL></TD>
<TD ALIGN="LEFT">&nbsp;</TD><TD ALIGN="RIGHT"><SMALL CLASS="FOOTNOTESIZE">   7  </SMALL></TD>
<TD ALIGN="RIGHT"><SMALL CLASS="FOOTNOTESIZE">  39  </SMALL></TD>
<TD ALIGN="RIGHT"><SMALL CLASS="FOOTNOTESIZE">   1.5 </SMALL></TD>
</TR>
<TR><TD ALIGN="RIGHT"><SMALL CLASS="FOOTNOTESIZE"> 
  8   </SMALL></TD>
<TD ALIGN="RIGHT"><SMALL CLASS="FOOTNOTESIZE">    8  </SMALL></TD>
<TD ALIGN="RIGHT"><SMALL CLASS="FOOTNOTESIZE">  1.0   </SMALL></TD>
<TD ALIGN="LEFT">&nbsp;</TD><TD ALIGN="RIGHT"><SMALL CLASS="FOOTNOTESIZE">   8  </SMALL></TD>
<TD ALIGN="RIGHT"><SMALL CLASS="FOOTNOTESIZE">  40  </SMALL></TD>
<TD ALIGN="RIGHT"><SMALL CLASS="FOOTNOTESIZE">   1.5 </SMALL></TD>
</TR>
<TR><TD ALIGN="RIGHT"><SMALL CLASS="FOOTNOTESIZE"> 
  9   </SMALL></TD>
<TD ALIGN="RIGHT"><SMALL CLASS="FOOTNOTESIZE">    9  </SMALL></TD>
<TD ALIGN="RIGHT"><SMALL CLASS="FOOTNOTESIZE">  1.0   </SMALL></TD>
<TD ALIGN="LEFT">&nbsp;</TD><TD ALIGN="RIGHT"><SMALL CLASS="FOOTNOTESIZE">   9  </SMALL></TD>
<TD ALIGN="RIGHT"><SMALL CLASS="FOOTNOTESIZE">  41  </SMALL></TD>
<TD ALIGN="RIGHT"><SMALL CLASS="FOOTNOTESIZE">   2.0 </SMALL></TD>
</TR>
<TR><TD ALIGN="RIGHT"><SMALL CLASS="FOOTNOTESIZE"> 
 10   </SMALL></TD>
<TD ALIGN="RIGHT"><SMALL CLASS="FOOTNOTESIZE">   10  </SMALL></TD>
<TD ALIGN="RIGHT"><SMALL CLASS="FOOTNOTESIZE">  1.0   </SMALL></TD>
<TD ALIGN="LEFT">&nbsp;</TD><TD ALIGN="RIGHT"><SMALL CLASS="FOOTNOTESIZE">  10  </SMALL></TD>
<TD ALIGN="RIGHT"><SMALL CLASS="FOOTNOTESIZE">  42  </SMALL></TD>
<TD ALIGN="RIGHT"><SMALL CLASS="FOOTNOTESIZE">   2.0 </SMALL></TD>
</TR>
<TR><TD ALIGN="RIGHT"><SMALL CLASS="FOOTNOTESIZE"> 
 11   </SMALL></TD>
<TD ALIGN="RIGHT"><SMALL CLASS="FOOTNOTESIZE">   11  </SMALL></TD>
<TD ALIGN="RIGHT"><SMALL CLASS="FOOTNOTESIZE">  1.0   </SMALL></TD>
<TD ALIGN="LEFT">&nbsp;</TD><TD ALIGN="RIGHT"><SMALL CLASS="FOOTNOTESIZE">  11  </SMALL></TD>
<TD ALIGN="RIGHT"><SMALL CLASS="FOOTNOTESIZE">  43  </SMALL></TD>
<TD ALIGN="RIGHT"><SMALL CLASS="FOOTNOTESIZE">   2.0 </SMALL></TD>
</TR>
<TR><TD ALIGN="RIGHT"><SMALL CLASS="FOOTNOTESIZE"> 
 12   </SMALL></TD>
<TD ALIGN="RIGHT"><SMALL CLASS="FOOTNOTESIZE">   12  </SMALL></TD>
<TD ALIGN="RIGHT"><SMALL CLASS="FOOTNOTESIZE">  1.0   </SMALL></TD>
<TD ALIGN="LEFT">&nbsp;</TD><TD ALIGN="RIGHT"><SMALL CLASS="FOOTNOTESIZE">  12  </SMALL></TD>
<TD ALIGN="RIGHT"><SMALL CLASS="FOOTNOTESIZE">  44  </SMALL></TD>
<TD ALIGN="RIGHT"><SMALL CLASS="FOOTNOTESIZE">   2.0 </SMALL></TD>
</TR>
<TR><TD ALIGN="RIGHT"><SMALL CLASS="FOOTNOTESIZE"> 
 13   </SMALL></TD>
<TD ALIGN="RIGHT"><SMALL CLASS="FOOTNOTESIZE">   13  </SMALL></TD>
<TD ALIGN="RIGHT"><SMALL CLASS="FOOTNOTESIZE">  1.0   </SMALL></TD>
<TD ALIGN="LEFT">&nbsp;</TD><TD ALIGN="RIGHT"><SMALL CLASS="FOOTNOTESIZE">  13  </SMALL></TD>
<TD ALIGN="RIGHT"><SMALL CLASS="FOOTNOTESIZE">  45  </SMALL></TD>
<TD ALIGN="RIGHT"><SMALL CLASS="FOOTNOTESIZE">   2.0 </SMALL></TD>
</TR>
<TR><TD ALIGN="RIGHT"><SMALL CLASS="FOOTNOTESIZE"> 
 14   </SMALL></TD>
<TD ALIGN="RIGHT"><SMALL CLASS="FOOTNOTESIZE">   14  </SMALL></TD>
<TD ALIGN="RIGHT"><SMALL CLASS="FOOTNOTESIZE">  1.0   </SMALL></TD>
<TD ALIGN="LEFT">&nbsp;</TD><TD ALIGN="RIGHT"><SMALL CLASS="FOOTNOTESIZE">  14  </SMALL></TD>
<TD ALIGN="RIGHT"><SMALL CLASS="FOOTNOTESIZE">  46  </SMALL></TD>
<TD ALIGN="RIGHT"><SMALL CLASS="FOOTNOTESIZE">   2.0 </SMALL></TD>
</TR>
<TR><TD ALIGN="RIGHT"><SMALL CLASS="FOOTNOTESIZE"> 
 15   </SMALL></TD>
<TD ALIGN="RIGHT"><SMALL CLASS="FOOTNOTESIZE">   15  </SMALL></TD>
<TD ALIGN="RIGHT"><SMALL CLASS="FOOTNOTESIZE">  1.0   </SMALL></TD>
<TD ALIGN="LEFT">&nbsp;</TD><TD ALIGN="RIGHT"><SMALL CLASS="FOOTNOTESIZE">  15  </SMALL></TD>
<TD ALIGN="RIGHT"><SMALL CLASS="FOOTNOTESIZE">  47  </SMALL></TD>
<TD ALIGN="RIGHT"><SMALL CLASS="FOOTNOTESIZE">   2.0 </SMALL></TD>
</TR>
<TR><TD ALIGN="RIGHT"><SMALL CLASS="FOOTNOTESIZE"> 
 16   </SMALL></TD>
<TD ALIGN="RIGHT"><SMALL CLASS="FOOTNOTESIZE">   16  </SMALL></TD>
<TD ALIGN="RIGHT"><SMALL CLASS="FOOTNOTESIZE">  1.0   </SMALL></TD>
<TD ALIGN="LEFT">&nbsp;</TD><TD ALIGN="RIGHT"><SMALL CLASS="FOOTNOTESIZE">  16  </SMALL></TD>
<TD ALIGN="RIGHT"><SMALL CLASS="FOOTNOTESIZE">  48  </SMALL></TD>
<TD ALIGN="RIGHT"><SMALL CLASS="FOOTNOTESIZE">   2.0 </SMALL></TD>
</TR>
<TR><TD ALIGN="RIGHT"><SMALL CLASS="FOOTNOTESIZE"> 
 17   </SMALL></TD>
<TD ALIGN="RIGHT"><SMALL CLASS="FOOTNOTESIZE">   17  </SMALL></TD>
<TD ALIGN="RIGHT"><SMALL CLASS="FOOTNOTESIZE">  1.0   </SMALL></TD>
<TD ALIGN="LEFT">&nbsp;</TD><TD ALIGN="RIGHT"><SMALL CLASS="FOOTNOTESIZE">  17  </SMALL></TD>
<TD ALIGN="RIGHT"><SMALL CLASS="FOOTNOTESIZE">  49  </SMALL></TD>
<TD ALIGN="RIGHT"><SMALL CLASS="FOOTNOTESIZE">   2.0 </SMALL></TD>
</TR>
<TR><TD ALIGN="RIGHT"><SMALL CLASS="FOOTNOTESIZE"> 
 18   </SMALL></TD>
<TD ALIGN="RIGHT"><SMALL CLASS="FOOTNOTESIZE">   18  </SMALL></TD>
<TD ALIGN="RIGHT"><SMALL CLASS="FOOTNOTESIZE">  1.0   </SMALL></TD>
<TD ALIGN="LEFT">&nbsp;</TD><TD ALIGN="RIGHT"><SMALL CLASS="FOOTNOTESIZE">  18  </SMALL></TD>
<TD ALIGN="RIGHT"><SMALL CLASS="FOOTNOTESIZE">  50  </SMALL></TD>
<TD ALIGN="RIGHT"><SMALL CLASS="FOOTNOTESIZE">   2.0 </SMALL></TD>
</TR>
<TR><TD ALIGN="RIGHT"><SMALL CLASS="FOOTNOTESIZE"> 
 19   </SMALL></TD>
<TD ALIGN="RIGHT"><SMALL CLASS="FOOTNOTESIZE">   19  </SMALL></TD>
<TD ALIGN="RIGHT"><SMALL CLASS="FOOTNOTESIZE">  1.0   </SMALL></TD>
<TD ALIGN="LEFT">&nbsp;</TD><TD ALIGN="RIGHT"><SMALL CLASS="FOOTNOTESIZE">  19  </SMALL></TD>
<TD ALIGN="RIGHT"><SMALL CLASS="FOOTNOTESIZE">  51  </SMALL></TD>
<TD ALIGN="RIGHT"><SMALL CLASS="FOOTNOTESIZE">   2.0 </SMALL></TD>
</TR>
<TR><TD ALIGN="RIGHT"><SMALL CLASS="FOOTNOTESIZE"> 
 20   </SMALL></TD>
<TD ALIGN="RIGHT"><SMALL CLASS="FOOTNOTESIZE">   20  </SMALL></TD>
<TD ALIGN="RIGHT"><SMALL CLASS="FOOTNOTESIZE">  1.0   </SMALL></TD>
<TD ALIGN="LEFT">&nbsp;</TD><TD ALIGN="RIGHT"><SMALL CLASS="FOOTNOTESIZE">  20  </SMALL></TD>
<TD ALIGN="RIGHT"><SMALL CLASS="FOOTNOTESIZE">  52  </SMALL></TD>
<TD ALIGN="RIGHT"><SMALL CLASS="FOOTNOTESIZE">   2.0 </SMALL></TD>
</TR>
<TR><TD ALIGN="RIGHT"><SMALL CLASS="FOOTNOTESIZE">  
 21   </SMALL></TD>
<TD ALIGN="RIGHT"><SMALL CLASS="FOOTNOTESIZE">   21  </SMALL></TD>
<TD ALIGN="RIGHT"><SMALL CLASS="FOOTNOTESIZE">  1.0   </SMALL></TD>
<TD ALIGN="LEFT">&nbsp;</TD><TD ALIGN="RIGHT"><SMALL CLASS="FOOTNOTESIZE">  21  </SMALL></TD>
<TD ALIGN="RIGHT"><SMALL CLASS="FOOTNOTESIZE">  53  </SMALL></TD>
<TD ALIGN="RIGHT"><SMALL CLASS="FOOTNOTESIZE">   2.0 </SMALL></TD>
</TR>
<TR><TD ALIGN="RIGHT"><SMALL CLASS="FOOTNOTESIZE"> 
 22   </SMALL></TD>
<TD ALIGN="RIGHT"><SMALL CLASS="FOOTNOTESIZE">   22  </SMALL></TD>
<TD ALIGN="RIGHT"><SMALL CLASS="FOOTNOTESIZE">  1.0   </SMALL></TD>
<TD ALIGN="LEFT">&nbsp;</TD><TD ALIGN="RIGHT"><SMALL CLASS="FOOTNOTESIZE">  22  </SMALL></TD>
<TD ALIGN="RIGHT"><SMALL CLASS="FOOTNOTESIZE">  54  </SMALL></TD>
<TD ALIGN="RIGHT"><SMALL CLASS="FOOTNOTESIZE">   2.0 </SMALL></TD>
</TR>
<TR><TD ALIGN="RIGHT"><SMALL CLASS="FOOTNOTESIZE"> 
 23   </SMALL></TD>
<TD ALIGN="RIGHT"><SMALL CLASS="FOOTNOTESIZE">   23  </SMALL></TD>
<TD ALIGN="RIGHT"><SMALL CLASS="FOOTNOTESIZE">  1.0   </SMALL></TD>
<TD ALIGN="LEFT">&nbsp;</TD><TD ALIGN="RIGHT"><SMALL CLASS="FOOTNOTESIZE">  23  </SMALL></TD>
<TD ALIGN="RIGHT"><SMALL CLASS="FOOTNOTESIZE">  55  </SMALL></TD>
<TD ALIGN="RIGHT"><SMALL CLASS="FOOTNOTESIZE">   2.0 </SMALL></TD>
</TR>
<TR><TD ALIGN="RIGHT"><SMALL CLASS="FOOTNOTESIZE"> 
 24   </SMALL></TD>
<TD ALIGN="RIGHT"><SMALL CLASS="FOOTNOTESIZE">   24  </SMALL></TD>
<TD ALIGN="RIGHT"><SMALL CLASS="FOOTNOTESIZE">  1.0   </SMALL></TD>
<TD ALIGN="LEFT">&nbsp;</TD><TD ALIGN="RIGHT"><SMALL CLASS="FOOTNOTESIZE">  24  </SMALL></TD>
<TD ALIGN="RIGHT"><SMALL CLASS="FOOTNOTESIZE">  56  </SMALL></TD>
<TD ALIGN="RIGHT"><SMALL CLASS="FOOTNOTESIZE">   2.0 </SMALL></TD>
</TR>
<TR><TD ALIGN="RIGHT"><SMALL CLASS="FOOTNOTESIZE"> 
 25   </SMALL></TD>
<TD ALIGN="RIGHT"><SMALL CLASS="FOOTNOTESIZE">   25  </SMALL></TD>
<TD ALIGN="RIGHT"><SMALL CLASS="FOOTNOTESIZE">  1.5   </SMALL></TD>
<TD ALIGN="LEFT">&nbsp;</TD><TD ALIGN="RIGHT"><SMALL CLASS="FOOTNOTESIZE">  25  </SMALL></TD>
<TD ALIGN="RIGHT"><SMALL CLASS="FOOTNOTESIZE">  57  </SMALL></TD>
<TD ALIGN="RIGHT"><SMALL CLASS="FOOTNOTESIZE">   2.0 </SMALL></TD>
</TR>
<TR><TD ALIGN="RIGHT"><SMALL CLASS="FOOTNOTESIZE"> 
 26   </SMALL></TD>
<TD ALIGN="RIGHT"><SMALL CLASS="FOOTNOTESIZE">   26  </SMALL></TD>
<TD ALIGN="RIGHT"><SMALL CLASS="FOOTNOTESIZE">  1.5   </SMALL></TD>
<TD ALIGN="LEFT">&nbsp;</TD><TD ALIGN="RIGHT"><SMALL CLASS="FOOTNOTESIZE">  26  </SMALL></TD>
<TD ALIGN="RIGHT"><SMALL CLASS="FOOTNOTESIZE">  58  </SMALL></TD>
<TD ALIGN="RIGHT"><SMALL CLASS="FOOTNOTESIZE">   2.0 </SMALL></TD>
</TR>
<TR><TD ALIGN="RIGHT"><SMALL CLASS="FOOTNOTESIZE"> 
 27   </SMALL></TD>
<TD ALIGN="RIGHT"><SMALL CLASS="FOOTNOTESIZE">   27  </SMALL></TD>
<TD ALIGN="RIGHT"><SMALL CLASS="FOOTNOTESIZE">  1.5   </SMALL></TD>
<TD ALIGN="LEFT">&nbsp;</TD><TD ALIGN="RIGHT"><SMALL CLASS="FOOTNOTESIZE">  27  </SMALL></TD>
<TD ALIGN="RIGHT"><SMALL CLASS="FOOTNOTESIZE">  59  </SMALL></TD>
<TD ALIGN="RIGHT"><SMALL CLASS="FOOTNOTESIZE">   2.0 </SMALL></TD>
</TR>
<TR><TD ALIGN="RIGHT"><SMALL CLASS="FOOTNOTESIZE"> 
 28   </SMALL></TD>
<TD ALIGN="RIGHT"><SMALL CLASS="FOOTNOTESIZE">   28  </SMALL></TD>
<TD ALIGN="RIGHT"><SMALL CLASS="FOOTNOTESIZE">  1.5   </SMALL></TD>
<TD ALIGN="LEFT">&nbsp;</TD><TD ALIGN="RIGHT"><SMALL CLASS="FOOTNOTESIZE">  28  </SMALL></TD>
<TD ALIGN="RIGHT"><SMALL CLASS="FOOTNOTESIZE">  60  </SMALL></TD>
<TD ALIGN="RIGHT"><SMALL CLASS="FOOTNOTESIZE">   2.0 </SMALL></TD>
</TR>
<TR><TD ALIGN="RIGHT"><SMALL CLASS="FOOTNOTESIZE"> 
 29   </SMALL></TD>
<TD ALIGN="RIGHT"><SMALL CLASS="FOOTNOTESIZE">   29  </SMALL></TD>
<TD ALIGN="RIGHT"><SMALL CLASS="FOOTNOTESIZE">  1.5   </SMALL></TD>
<TD ALIGN="LEFT">&nbsp;</TD><TD ALIGN="RIGHT"><SMALL CLASS="FOOTNOTESIZE">  29  </SMALL></TD>
<TD ALIGN="RIGHT"><SMALL CLASS="FOOTNOTESIZE">  61  </SMALL></TD>
<TD ALIGN="RIGHT"><SMALL CLASS="FOOTNOTESIZE">   2.0 </SMALL></TD>
</TR>
<TR><TD ALIGN="RIGHT"><SMALL CLASS="FOOTNOTESIZE"> 
 30   </SMALL></TD>
<TD ALIGN="RIGHT"><SMALL CLASS="FOOTNOTESIZE">   30  </SMALL></TD>
<TD ALIGN="RIGHT"><SMALL CLASS="FOOTNOTESIZE">  1.5   </SMALL></TD>
<TD ALIGN="LEFT">&nbsp;</TD><TD ALIGN="RIGHT"><SMALL CLASS="FOOTNOTESIZE">  30  </SMALL></TD>
<TD ALIGN="RIGHT"><SMALL CLASS="FOOTNOTESIZE">  62  </SMALL></TD>
<TD ALIGN="RIGHT"><SMALL CLASS="FOOTNOTESIZE">   2.0 </SMALL></TD>
</TR>
<TR><TD ALIGN="RIGHT"><SMALL CLASS="FOOTNOTESIZE"> 
 31   </SMALL></TD>
<TD ALIGN="RIGHT"><SMALL CLASS="FOOTNOTESIZE">   31  </SMALL></TD>
<TD ALIGN="RIGHT"><SMALL CLASS="FOOTNOTESIZE">  1.5   </SMALL></TD>
<TD ALIGN="LEFT">&nbsp;</TD><TD ALIGN="RIGHT"><SMALL CLASS="FOOTNOTESIZE">  31  </SMALL></TD>
<TD ALIGN="RIGHT"><SMALL CLASS="FOOTNOTESIZE">  63  </SMALL></TD>
<TD ALIGN="RIGHT"><SMALL CLASS="FOOTNOTESIZE">   2.0 </SMALL></TD>
</TR>
<TR><TD ALIGN="RIGHT"><SMALL CLASS="FOOTNOTESIZE"> 
 32   </SMALL></TD>
<TD ALIGN="RIGHT"><SMALL CLASS="FOOTNOTESIZE">   32  </SMALL></TD>
<TD ALIGN="RIGHT"><SMALL CLASS="FOOTNOTESIZE">  1.5   </SMALL></TD>
<TD ALIGN="LEFT">&nbsp;</TD><TD ALIGN="RIGHT"><SMALL CLASS="FOOTNOTESIZE">  32  </SMALL></TD>
<TD ALIGN="RIGHT"><SMALL CLASS="FOOTNOTESIZE">  64  </SMALL></TD>
<TD ALIGN="RIGHT"><SMALL CLASS="FOOTNOTESIZE">   2.0 </SMALL></TD>
</TR>
<TR><TD ALIGN="RIGHT"><SMALL CLASS="FOOTNOTESIZE"> 
 33   </SMALL></TD>
<TD ALIGN="RIGHT"><SMALL CLASS="FOOTNOTESIZE">   33  </SMALL></TD>
<TD ALIGN="RIGHT"><SMALL CLASS="FOOTNOTESIZE">  1.5   </SMALL></TD>
<TD ALIGN="LEFT">&nbsp;</TD><TD ALIGN="RIGHT"><SMALL CLASS="FOOTNOTESIZE">  33  </SMALL></TD>
<TD ALIGN="RIGHT"><SMALL CLASS="FOOTNOTESIZE">  25  </SMALL></TD>
<TD ALIGN="RIGHT"><SMALL CLASS="FOOTNOTESIZE">   1.5 </SMALL></TD>
</TR>
<TR><TD ALIGN="RIGHT"><SMALL CLASS="FOOTNOTESIZE"> 
 34   </SMALL></TD>
<TD ALIGN="RIGHT"><SMALL CLASS="FOOTNOTESIZE">   34  </SMALL></TD>
<TD ALIGN="RIGHT"><SMALL CLASS="FOOTNOTESIZE">  1.5   </SMALL></TD>
<TD ALIGN="LEFT">&nbsp;</TD><TD ALIGN="RIGHT"><SMALL CLASS="FOOTNOTESIZE">  34  </SMALL></TD>
<TD ALIGN="RIGHT"><SMALL CLASS="FOOTNOTESIZE">  26  </SMALL></TD>
<TD ALIGN="RIGHT"><SMALL CLASS="FOOTNOTESIZE">   1.5 </SMALL></TD>
</TR>
<TR><TD ALIGN="RIGHT"><SMALL CLASS="FOOTNOTESIZE"> 
 35   </SMALL></TD>
<TD ALIGN="RIGHT"><SMALL CLASS="FOOTNOTESIZE">   35  </SMALL></TD>
<TD ALIGN="RIGHT"><SMALL CLASS="FOOTNOTESIZE">  1.5   </SMALL></TD>
<TD ALIGN="LEFT">&nbsp;</TD><TD ALIGN="RIGHT"><SMALL CLASS="FOOTNOTESIZE">  35  </SMALL></TD>
<TD ALIGN="RIGHT"><SMALL CLASS="FOOTNOTESIZE">  27  </SMALL></TD>
<TD ALIGN="RIGHT"><SMALL CLASS="FOOTNOTESIZE">   1.5 </SMALL></TD>
</TR>
<TR><TD ALIGN="RIGHT"><SMALL CLASS="FOOTNOTESIZE"> 
 36   </SMALL></TD>
<TD ALIGN="RIGHT"><SMALL CLASS="FOOTNOTESIZE">   36  </SMALL></TD>
<TD ALIGN="RIGHT"><SMALL CLASS="FOOTNOTESIZE">  1.5   </SMALL></TD>
<TD ALIGN="LEFT">&nbsp;</TD><TD ALIGN="RIGHT"><SMALL CLASS="FOOTNOTESIZE">  36  </SMALL></TD>
<TD ALIGN="RIGHT"><SMALL CLASS="FOOTNOTESIZE">  28  </SMALL></TD>
<TD ALIGN="RIGHT"><SMALL CLASS="FOOTNOTESIZE">   1.5 </SMALL></TD>
</TR>
<TR><TD ALIGN="RIGHT"><SMALL CLASS="FOOTNOTESIZE"> 
 37   </SMALL></TD>
<TD ALIGN="RIGHT"><SMALL CLASS="FOOTNOTESIZE">   37  </SMALL></TD>
<TD ALIGN="RIGHT"><SMALL CLASS="FOOTNOTESIZE">  1.5   </SMALL></TD>
<TD ALIGN="LEFT">&nbsp;</TD><TD ALIGN="RIGHT"><SMALL CLASS="FOOTNOTESIZE">  37  </SMALL></TD>
<TD ALIGN="RIGHT"><SMALL CLASS="FOOTNOTESIZE">  29  </SMALL></TD>
<TD ALIGN="RIGHT"><SMALL CLASS="FOOTNOTESIZE">   1.5 </SMALL></TD>
</TR>
<TR><TD ALIGN="RIGHT"><SMALL CLASS="FOOTNOTESIZE"> 
 38   </SMALL></TD>
<TD ALIGN="RIGHT"><SMALL CLASS="FOOTNOTESIZE">   38  </SMALL></TD>
<TD ALIGN="RIGHT"><SMALL CLASS="FOOTNOTESIZE">  1.5   </SMALL></TD>
<TD ALIGN="LEFT">&nbsp;</TD><TD ALIGN="RIGHT"><SMALL CLASS="FOOTNOTESIZE">  38  </SMALL></TD>
<TD ALIGN="RIGHT"><SMALL CLASS="FOOTNOTESIZE">  30  </SMALL></TD>
<TD ALIGN="RIGHT"><SMALL CLASS="FOOTNOTESIZE">   1.5 </SMALL></TD>
</TR>
<TR><TD ALIGN="RIGHT"><SMALL CLASS="FOOTNOTESIZE"> 
 39   </SMALL></TD>
<TD ALIGN="RIGHT"><SMALL CLASS="FOOTNOTESIZE">   39  </SMALL></TD>
<TD ALIGN="RIGHT"><SMALL CLASS="FOOTNOTESIZE">  1.5   </SMALL></TD>
<TD ALIGN="LEFT">&nbsp;</TD><TD ALIGN="RIGHT"><SMALL CLASS="FOOTNOTESIZE">  39  </SMALL></TD>
<TD ALIGN="RIGHT"><SMALL CLASS="FOOTNOTESIZE">  31  </SMALL></TD>
<TD ALIGN="RIGHT"><SMALL CLASS="FOOTNOTESIZE">   1.5 </SMALL></TD>
</TR>
<TR><TD ALIGN="RIGHT"><SMALL CLASS="FOOTNOTESIZE"> 
 40   </SMALL></TD>
<TD ALIGN="RIGHT"><SMALL CLASS="FOOTNOTESIZE">   40  </SMALL></TD>
<TD ALIGN="RIGHT"><SMALL CLASS="FOOTNOTESIZE">  1.5   </SMALL></TD>
<TD ALIGN="LEFT">&nbsp;</TD><TD ALIGN="RIGHT"><SMALL CLASS="FOOTNOTESIZE">  40  </SMALL></TD>
<TD ALIGN="RIGHT"><SMALL CLASS="FOOTNOTESIZE">  32  </SMALL></TD>
<TD ALIGN="RIGHT"><SMALL CLASS="FOOTNOTESIZE">   1.5 </SMALL></TD>
</TR>
<TR><TD ALIGN="RIGHT"><SMALL CLASS="FOOTNOTESIZE"> 
 41   </SMALL></TD>
<TD ALIGN="RIGHT"><SMALL CLASS="FOOTNOTESIZE">   41  </SMALL></TD>
<TD ALIGN="RIGHT"><SMALL CLASS="FOOTNOTESIZE">  2.0   </SMALL></TD>
<TD ALIGN="LEFT">&nbsp;</TD><TD ALIGN="RIGHT"><SMALL CLASS="FOOTNOTESIZE">  41  </SMALL></TD>
<TD ALIGN="RIGHT"><SMALL CLASS="FOOTNOTESIZE">  17  </SMALL></TD>
<TD ALIGN="RIGHT"><SMALL CLASS="FOOTNOTESIZE">   1.0 </SMALL></TD>
</TR>
<TR><TD ALIGN="RIGHT"><SMALL CLASS="FOOTNOTESIZE"> 
 42   </SMALL></TD>
<TD ALIGN="RIGHT"><SMALL CLASS="FOOTNOTESIZE">   42  </SMALL></TD>
<TD ALIGN="RIGHT"><SMALL CLASS="FOOTNOTESIZE">  2.0   </SMALL></TD>
<TD ALIGN="LEFT">&nbsp;</TD><TD ALIGN="RIGHT"><SMALL CLASS="FOOTNOTESIZE">  42  </SMALL></TD>
<TD ALIGN="RIGHT"><SMALL CLASS="FOOTNOTESIZE">  18  </SMALL></TD>
<TD ALIGN="RIGHT"><SMALL CLASS="FOOTNOTESIZE">   1.0 </SMALL></TD>
</TR>
<TR><TD ALIGN="RIGHT"><SMALL CLASS="FOOTNOTESIZE"> 
 43   </SMALL></TD>
<TD ALIGN="RIGHT"><SMALL CLASS="FOOTNOTESIZE">   43  </SMALL></TD>
<TD ALIGN="RIGHT"><SMALL CLASS="FOOTNOTESIZE">  2.0   </SMALL></TD>
<TD ALIGN="LEFT">&nbsp;</TD><TD ALIGN="RIGHT"><SMALL CLASS="FOOTNOTESIZE">  43  </SMALL></TD>
<TD ALIGN="RIGHT"><SMALL CLASS="FOOTNOTESIZE">  19  </SMALL></TD>
<TD ALIGN="RIGHT"><SMALL CLASS="FOOTNOTESIZE">   1.0 </SMALL></TD>
</TR>
<TR><TD ALIGN="RIGHT"><SMALL CLASS="FOOTNOTESIZE"> 
 44   </SMALL></TD>
<TD ALIGN="RIGHT"><SMALL CLASS="FOOTNOTESIZE">   44  </SMALL></TD>
<TD ALIGN="RIGHT"><SMALL CLASS="FOOTNOTESIZE">  2.0   </SMALL></TD>
<TD ALIGN="LEFT">&nbsp;</TD><TD ALIGN="RIGHT"><SMALL CLASS="FOOTNOTESIZE">  44  </SMALL></TD>
<TD ALIGN="RIGHT"><SMALL CLASS="FOOTNOTESIZE">  20  </SMALL></TD>
<TD ALIGN="RIGHT"><SMALL CLASS="FOOTNOTESIZE">   1.0 </SMALL></TD>
</TR>
<TR><TD ALIGN="RIGHT"><SMALL CLASS="FOOTNOTESIZE"> 
 45   </SMALL></TD>
<TD ALIGN="RIGHT"><SMALL CLASS="FOOTNOTESIZE">   45  </SMALL></TD>
<TD ALIGN="RIGHT"><SMALL CLASS="FOOTNOTESIZE">  2.0   </SMALL></TD>
<TD ALIGN="LEFT">&nbsp;</TD><TD ALIGN="RIGHT"><SMALL CLASS="FOOTNOTESIZE">  45  </SMALL></TD>
<TD ALIGN="RIGHT"><SMALL CLASS="FOOTNOTESIZE">  21  </SMALL></TD>
<TD ALIGN="RIGHT"><SMALL CLASS="FOOTNOTESIZE">   1.0 </SMALL></TD>
</TR>
<TR><TD ALIGN="RIGHT"><SMALL CLASS="FOOTNOTESIZE"> 
 46   </SMALL></TD>
<TD ALIGN="RIGHT"><SMALL CLASS="FOOTNOTESIZE">   46  </SMALL></TD>
<TD ALIGN="RIGHT"><SMALL CLASS="FOOTNOTESIZE">  2.0   </SMALL></TD>
<TD ALIGN="LEFT">&nbsp;</TD><TD ALIGN="RIGHT"><SMALL CLASS="FOOTNOTESIZE">  46  </SMALL></TD>
<TD ALIGN="RIGHT"><SMALL CLASS="FOOTNOTESIZE">  22  </SMALL></TD>
<TD ALIGN="RIGHT"><SMALL CLASS="FOOTNOTESIZE">   1.0 </SMALL></TD>
</TR>
<TR><TD ALIGN="RIGHT"><SMALL CLASS="FOOTNOTESIZE"> 
 47   </SMALL></TD>
<TD ALIGN="RIGHT"><SMALL CLASS="FOOTNOTESIZE">   47  </SMALL></TD>
<TD ALIGN="RIGHT"><SMALL CLASS="FOOTNOTESIZE">  2.0   </SMALL></TD>
<TD ALIGN="LEFT">&nbsp;</TD><TD ALIGN="RIGHT"><SMALL CLASS="FOOTNOTESIZE">  47  </SMALL></TD>
<TD ALIGN="RIGHT"><SMALL CLASS="FOOTNOTESIZE">  23  </SMALL></TD>
<TD ALIGN="RIGHT"><SMALL CLASS="FOOTNOTESIZE">   1.0 </SMALL></TD>
</TR>
<TR><TD ALIGN="RIGHT"><SMALL CLASS="FOOTNOTESIZE"> 
 48   </SMALL></TD>
<TD ALIGN="RIGHT"><SMALL CLASS="FOOTNOTESIZE">   48  </SMALL></TD>
<TD ALIGN="RIGHT"><SMALL CLASS="FOOTNOTESIZE">  2.0   </SMALL></TD>
<TD ALIGN="LEFT">&nbsp;</TD><TD ALIGN="RIGHT"><SMALL CLASS="FOOTNOTESIZE">  48  </SMALL></TD>
<TD ALIGN="RIGHT"><SMALL CLASS="FOOTNOTESIZE">  24  </SMALL></TD>
<TD ALIGN="RIGHT"><SMALL CLASS="FOOTNOTESIZE">   1.0 </SMALL></TD>
</TR>
</TABLE></DIV>
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