<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.0 Transitional//EN">
<!--Converted with LaTeX2HTML 2018 (Released Feb 1, 2018) -->
<HTML>
<HEAD>
<TITLE>psb_ovrl -- Overlap Update</TITLE>
<META NAME="description" CONTENT="psb_ovrl -- Overlap Update">
<META NAME="keywords" CONTENT="userhtml">
<META NAME="resource-type" CONTENT="document">
<META NAME="distribution" CONTENT="global">
<META NAME="Generator" CONTENT="LaTeX2HTML v2018">
<META HTTP-EQUIV="Content-Style-Type" CONTENT="text/css">
<LINK REL="STYLESHEET" HREF="userhtml.css">
<LINK REL="next" HREF="node69.html">
<LINK REL="previous" HREF="node67.html">
<LINK REL="up" HREF="node66.html">
<LINK REL="next" HREF="node69.html">
</HEAD>
<BODY >
<DIV CLASS="navigation"><!--Navigation Panel-->
<A NAME="tex2html1093"
HREF="node69.html">
<IMG WIDTH="37" HEIGHT="24" ALIGN="BOTTOM" BORDER="0" ALT="next" SRC="next.png"></A>
<A NAME="tex2html1089"
HREF="node66.html">
<IMG WIDTH="26" HEIGHT="24" ALIGN="BOTTOM" BORDER="0" ALT="up" SRC="up.png"></A>
<A NAME="tex2html1083"
HREF="node67.html">
<IMG WIDTH="63" HEIGHT="24" ALIGN="BOTTOM" BORDER="0" ALT="previous" SRC="prev.png"></A>
<A NAME="tex2html1091"
HREF="node1.html">
<IMG WIDTH="65" HEIGHT="24" ALIGN="BOTTOM" BORDER="0" ALT="contents" SRC="contents.png"></A>
<BR>
<B> Next:</B> <A NAME="tex2html1094"
HREF="node69.html">psb_gather Gather</A>
<B> Up:</B> <A NAME="tex2html1090"
HREF="node66.html">Communication routines</A>
<B> Previous:</B> <A NAME="tex2html1084"
HREF="node67.html">psb_halo Halo</A>
<B> <A NAME="tex2html1092"
HREF="node1.html">Contents</A></B>
<BR>
<BR></DIV>
<!--End of Navigation Panel-->
<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 <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$"></SPAN>.
<BR>
Scope: <B>local</B>
<BR>
Type: <B>required</B>
<BR>
Intent: <B>inout</B>.
<BR>
Specified as: an array of rank one or two
containing numbers of type specified in
Table <A HREF="#tab:f90ovrl">15</A>.
</DD>
<DT><STRONG>info</STRONG></DT>
<DD>Error code.
<BR>
Scope: <B>local</B>
<BR>
Type: <B>required</B>
<BR>
Intent: <B>out</B>.
<BR>
An integer value; 0 means no error has been detected.
</DD>
</DL>
<P>
<BIG CLASS="LARGE"><B>Notes</B></BIG>
<OL>
<LI>If there is no overlap in the data distribution associated with
the descriptor, no operations are performed;
</LI>
<LI>The operator <SPAN CLASS="MATH"><IMG
WIDTH="26" HEIGHT="20" ALIGN="BOTTOM" BORDER="0"
SRC="img66.png"
ALT="$P^{T}$"></SPAN> performs the reduction sum of overlap
elements; it is a “prolongation” operator <SPAN CLASS="MATH"><IMG
WIDTH="26" HEIGHT="20" ALIGN="BOTTOM" BORDER="0"
SRC="img68.png"
ALT="$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$"></SPAN> performs a scaling on the overlap elements by
the amount of replication; thus, when combined with the reduction
operator, it implements the average of replicated elements over all of
their instances.
</LI>
</OL>
<P>
<DIV ALIGN="CENTER"><A NAME="fig:try8x8_ov"></A><A NAME="3472"></A>
<TABLE>
<CAPTION ALIGN="BOTTOM"><STRONG>Figure 8:</STRONG>
Sample discretization mesh.</CAPTION>
<TR><TD>
<DIV ALIGN="CENTER">
<IMG
WIDTH="533" HEIGHT="453" ALIGN="BOTTOM" BORDER="0"
SRC="img72.png"
ALT="\includegraphics[scale=0.65]{figures/try8x8_ov.eps}">
<IMG
WIDTH="533" HEIGHT="453" ALIGN="BOTTOM" BORDER="0"
SRC="img71.png"
ALT="\includegraphics[scale=0.65]{figures/try8x8_ov}">
</DIV></TD></TR>
</TABLE>
</DIV>
<BIG CLASS="LARGE"><B>Example of use</B></BIG>
Consider the discretization mesh depicted in fig. <A HREF="#fig:try8x8_ov">8</A>,
partitioned among two processes as shown by the dashed lines, with an
overlap of 1 extra layer with respect to the partition of
fig. <A HREF="node67.html#fig:try8x8">7</A>; the data
distribution is such that each process will own 40 entries in the
index space, with an overlap of 16 entries placed at local indices 25
through 40; the halo will run from local index 41 through local index 48.. If process 0 assigns an initial value of 1 to its entries
in the <SPAN CLASS="MATH"><IMG
WIDTH="13" HEIGHT="13" ALIGN="BOTTOM" BORDER="0"
SRC="img20.png"
ALT="$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"> </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"> </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"> </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"> </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"> </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"> </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"> </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"> </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"> </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"> </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"> </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"> </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"> </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"> </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"> </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"> </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"> </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"> </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"> </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"> </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"> </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"> </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"> </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"> </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"> </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"> </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"> </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"> </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"> </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"> </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"> </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"> </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"> </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"> </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"> </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"> </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"> </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"> </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"> </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"> </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"> </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"> </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"> </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"> </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"> </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"> </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"> </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"> </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"> </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"> </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>
<BR>
<P>
<DIV CLASS="navigation"><HR>
<!--Navigation Panel-->
<A NAME="tex2html1093"
HREF="node69.html">
<IMG WIDTH="37" HEIGHT="24" ALIGN="BOTTOM" BORDER="0" ALT="next" SRC="next.png"></A>
<A NAME="tex2html1089"
HREF="node66.html">
<IMG WIDTH="26" HEIGHT="24" ALIGN="BOTTOM" BORDER="0" ALT="up" SRC="up.png"></A>
<A NAME="tex2html1083"
HREF="node67.html">
<IMG WIDTH="63" HEIGHT="24" ALIGN="BOTTOM" BORDER="0" ALT="previous" SRC="prev.png"></A>
<A NAME="tex2html1091"
HREF="node1.html">
<IMG WIDTH="65" HEIGHT="24" ALIGN="BOTTOM" BORDER="0" ALT="contents" SRC="contents.png"></A>
<BR>
<B> Next:</B> <A NAME="tex2html1094"
HREF="node69.html">psb_gather Gather</A>
<B> Up:</B> <A NAME="tex2html1090"
HREF="node66.html">Communication routines</A>
<B> Previous:</B> <A NAME="tex2html1084"
HREF="node67.html">psb_halo Halo</A>
<B> <A NAME="tex2html1092"
HREF="node1.html">Contents</A></B> </DIV>
<!--End of Navigation Panel-->
</BODY>
</HTML>