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<H2><A NAME="SECTION00061000000000000000">
psb_halo -- Halo Data Communication</A>
</H2>

<P>
These subroutines gathers the values of the halo
elements, and  (optionally) scale the result:

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

<IMG
 WIDTH="53" HEIGHT="24" BORDER="0"
 SRC="img55.png"
 ALT="\begin{displaymath}x \leftarrow \alpha x \end{displaymath}">
</DIV>
<BR CLEAR="ALL">
<P></P>
where:
<DL>
<DT><STRONG><IMG
 WIDTH="14" HEIGHT="13" ALIGN="BOTTOM" BORDER="0"
 SRC="img20.png"
 ALT="$x$"></STRONG></DT>
<DD>is a global dense  submatrix.
</DD>
</DL>

<P>
<BR><P></P>
<DIV ALIGN="CENTER"><A NAME="3204"></A>
<TABLE>
<CAPTION><STRONG>Table 14:</STRONG>
Data types</CAPTION>
<TR><TD>
<DIV ALIGN="CENTER">
<TABLE CELLPADDING=3 BORDER="1" ALIGN="CENTER">
<TR><TD ALIGN="LEFT"><IMG
 WIDTH="14" HEIGHT="13" ALIGN="BOTTOM" BORDER="0"
 SRC="img22.png"
 ALT="$\alpha$">, <IMG
 WIDTH="14" HEIGHT="13" ALIGN="BOTTOM" BORDER="0"
 SRC="img20.png"
 ALT="$x$"></TD>
<TD ALIGN="LEFT"><B>Subroutine</B></TD>
</TR>
<TR><TD ALIGN="LEFT">Integer</TD>
<TD ALIGN="LEFT">psb_halo</TD>
</TR>
<TR><TD ALIGN="LEFT">Short Precision Real</TD>
<TD ALIGN="LEFT">psb_halo</TD>
</TR>
<TR><TD ALIGN="LEFT">Long Precision Real</TD>
<TD ALIGN="LEFT">psb_halo</TD>
</TR>
<TR><TD ALIGN="LEFT">Short Precision Complex</TD>
<TD ALIGN="LEFT">psb_halo</TD>
</TR>
<TR><TD ALIGN="LEFT">Long Precision Complex</TD>
<TD ALIGN="LEFT">psb_halo</TD>
</TR>
</TABLE>
</DIV>
</TD></TR>
</TABLE>
</DIV><P></P>
<BR>

<P>
<BR>
<IMG
 WIDTH="461" HEIGHT="35" ALIGN="BOTTOM" BORDER="0"
 SRC="img56.png"
 ALT="\begin{lstlisting}
call psb_halo(x, desc_a, info)
call psb_halo(x, desc_a, info, alpha, work, data)
\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 <IMG
 WIDTH="14" HEIGHT="13" ALIGN="BOTTOM" BORDER="0"
 SRC="img20.png"
 ALT="$x$">.
<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:f90halo">14</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>alpha</STRONG></DT>
<DD>the scalar <IMG
 WIDTH="14" HEIGHT="13" ALIGN="BOTTOM" BORDER="0"
 SRC="img22.png"
 ALT="$\alpha$">.
<BR>
Scope: <B>global</B> 
<BR>
Type: <B>optional</B> 
<BR>
Intent: <B>in</B>.
<BR>
Default: <IMG
 WIDTH="73" HEIGHT="30" ALIGN="MIDDLE" BORDER="0"
 SRC="img57.png"
 ALT="$alpha = 1 $">
<BR>
Specified as: a number of the data type indicated in Table&nbsp;<A HREF="#tab:f90halo">14</A>.
</DD>
<DT><STRONG>work</STRONG></DT>
<DD>the work array. 
<BR>
Scope: <B>local</B> 
<BR>
Type: <B>optional</B>
<BR>
Intent: <B>inout</B>.
<BR>
Specified as: a rank one array of the same type of <IMG
 WIDTH="14" HEIGHT="13" ALIGN="BOTTOM" BORDER="0"
 SRC="img20.png"
 ALT="$x$">. 
</DD>
<DT><STRONG>data</STRONG></DT>
<DD>index list selector.
<BR>
Scope: <B>global</B> 
<BR>
Type: <B>optional</B> 
<BR>
Specified as: an integer. Values:<code>psb_comm_halo_</code>,<code>psb_comm_mov_</code>,
<code>psb_comm_ext_</code>, default: <code>psb_comm_halo_</code>. Chooses the
index list on which to base the data exchange. 

<P>
</DD>
<DT><STRONG><B>On Return</B></STRONG></DT>
<DD>
</DD>
<DT><STRONG>x</STRONG></DT>
<DD>global dense result matrix <IMG
 WIDTH="14" HEIGHT="13" ALIGN="BOTTOM" BORDER="0"
 SRC="img20.png"
 ALT="$x$">.
<BR>
Scope: <B>local</B> 
<BR>
Type: <B>required</B> 
<BR>
Intent: <B>inout</B>.
<BR>
Returned as:  a rank one or two array 
containing numbers of type specified in
Table&nbsp;<A HREF="#tab:f90halo">14</A>.
</DD>
<DT><STRONG>info</STRONG></DT>
<DD>the local portion of result submatrix <IMG
 WIDTH="13" HEIGHT="30" ALIGN="MIDDLE" BORDER="0"
 SRC="img21.png"
 ALT="$y$">.
<BR>
Scope: <B>local</B> 
<BR>
Type: <B>required</B> 
<BR>
Intent: <B>out</B>.
<BR>
An integer value that contains an error code. 
</DD>
</DL>

<DIV ALIGN="CENTER"><A NAME="fig:try8x8"></A><A NAME="3206"></A>
<TABLE>
<CAPTION ALIGN="BOTTOM"><STRONG>Figure 7:</STRONG>
Sample discretization mesh.</CAPTION>
<TR><TD>
<DIV ALIGN="CENTER">
<IMG
 WIDTH="357" HEIGHT="313" ALIGN="BOTTOM" BORDER="0"
 SRC="img59.png"
 ALT="\includegraphics[scale=0.45]{figures/try8x8.eps}">

<!-- MATH
 $\rotatebox{-90}{\includegraphics[scale=0.45]{figures/try8x8}}$
 -->
<IMG
 WIDTH="1" HEIGHT="2" ALIGN="BOTTOM" BORDER="0"
 SRC="img58.png"
 ALT="\rotatebox{-90}{\includegraphics[scale=0.45]{figures/try8x8}}">

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

<P>
<FONT SIZE="+1"><B>Usage Example</B></FONT>
Consider the discretization mesh depicted in fig.&nbsp;<A HREF="#fig:try8x8">7</A>,
partitioned among two processes as shown by the dashed line; the data
distribution is such that each process will own 32 entries in the
index space, with a halo made of 8 entries placed at local indices 33
through 40. If process 0 assigns an initial value of 1 to its entries
in the <IMG
 WIDTH="14" HEIGHT="13" ALIGN="BOTTOM" BORDER="0"
 SRC="img20.png"
 ALT="$x$"> vector, and process 1 assigns a value of 2, then after a
call to <code>psb_halo</code> the contents of the local vectors will be the
following: 
<BR>
<DIV ALIGN="CENTER">
<TABLE CELLPADDING=3 ALIGN="CENTER">
<TR><TD ALIGN="CENTER" COLSPAN=3><FONT SIZE="-1">
Process  0</FONT></TD>
<TD ALIGN="LEFT">&nbsp;</TD><TD ALIGN="CENTER" COLSPAN=3><FONT SIZE="-1">
Process  1</FONT></TD>
</TR>
<TR><TD ALIGN="RIGHT"><FONT SIZE="-1"> 
  I  </FONT></TD>
<TD ALIGN="RIGHT"><FONT SIZE="-1">   GLOB(I) </FONT></TD>
<TD ALIGN="RIGHT"><FONT SIZE="-1"> X(I)  </FONT></TD>
<TD ALIGN="LEFT">&nbsp;</TD><TD ALIGN="RIGHT"><FONT SIZE="-1">   I </FONT></TD>
<TD ALIGN="RIGHT"><FONT SIZE="-1"> GLOB(I) </FONT></TD>
<TD ALIGN="RIGHT"><FONT SIZE="-1"> X(I) </FONT></TD>
</TR>
<TR><TD ALIGN="RIGHT"><FONT SIZE="-1"> 
  1   </FONT></TD>
<TD ALIGN="RIGHT"><FONT SIZE="-1">    1  </FONT></TD>
<TD ALIGN="RIGHT"><FONT SIZE="-1">  1.0   </FONT></TD>
<TD ALIGN="LEFT">&nbsp;</TD><TD ALIGN="RIGHT"><FONT SIZE="-1">   1  </FONT></TD>
<TD ALIGN="RIGHT"><FONT SIZE="-1">  33  </FONT></TD>
<TD ALIGN="RIGHT"><FONT SIZE="-1">   2.0 </FONT></TD>
</TR>
<TR><TD ALIGN="RIGHT"><FONT SIZE="-1">  
  2   </FONT></TD>
<TD ALIGN="RIGHT"><FONT SIZE="-1">    2  </FONT></TD>
<TD ALIGN="RIGHT"><FONT SIZE="-1">  1.0   </FONT></TD>
<TD ALIGN="LEFT">&nbsp;</TD><TD ALIGN="RIGHT"><FONT SIZE="-1">   2  </FONT></TD>
<TD ALIGN="RIGHT"><FONT SIZE="-1">  34  </FONT></TD>
<TD ALIGN="RIGHT"><FONT SIZE="-1">   2.0 </FONT></TD>
</TR>
<TR><TD ALIGN="RIGHT"><FONT SIZE="-1"> 
  3   </FONT></TD>
<TD ALIGN="RIGHT"><FONT SIZE="-1">    3  </FONT></TD>
<TD ALIGN="RIGHT"><FONT SIZE="-1">  1.0   </FONT></TD>
<TD ALIGN="LEFT">&nbsp;</TD><TD ALIGN="RIGHT"><FONT SIZE="-1">   3  </FONT></TD>
<TD ALIGN="RIGHT"><FONT SIZE="-1">  35  </FONT></TD>
<TD ALIGN="RIGHT"><FONT SIZE="-1">   2.0 </FONT></TD>
</TR>
<TR><TD ALIGN="RIGHT"><FONT SIZE="-1"> 
  4   </FONT></TD>
<TD ALIGN="RIGHT"><FONT SIZE="-1">    4  </FONT></TD>
<TD ALIGN="RIGHT"><FONT SIZE="-1">  1.0   </FONT></TD>
<TD ALIGN="LEFT">&nbsp;</TD><TD ALIGN="RIGHT"><FONT SIZE="-1">   4  </FONT></TD>
<TD ALIGN="RIGHT"><FONT SIZE="-1">  36  </FONT></TD>
<TD ALIGN="RIGHT"><FONT SIZE="-1">   2.0 </FONT></TD>
</TR>
<TR><TD ALIGN="RIGHT"><FONT SIZE="-1"> 
  5   </FONT></TD>
<TD ALIGN="RIGHT"><FONT SIZE="-1">    5  </FONT></TD>
<TD ALIGN="RIGHT"><FONT SIZE="-1">  1.0   </FONT></TD>
<TD ALIGN="LEFT">&nbsp;</TD><TD ALIGN="RIGHT"><FONT SIZE="-1">   5  </FONT></TD>
<TD ALIGN="RIGHT"><FONT SIZE="-1">  37  </FONT></TD>
<TD ALIGN="RIGHT"><FONT SIZE="-1">   2.0 </FONT></TD>
</TR>
<TR><TD ALIGN="RIGHT"><FONT SIZE="-1"> 
  6   </FONT></TD>
<TD ALIGN="RIGHT"><FONT SIZE="-1">    6  </FONT></TD>
<TD ALIGN="RIGHT"><FONT SIZE="-1">  1.0   </FONT></TD>
<TD ALIGN="LEFT">&nbsp;</TD><TD ALIGN="RIGHT"><FONT SIZE="-1">   6  </FONT></TD>
<TD ALIGN="RIGHT"><FONT SIZE="-1">  38  </FONT></TD>
<TD ALIGN="RIGHT"><FONT SIZE="-1">   2.0 </FONT></TD>
</TR>
<TR><TD ALIGN="RIGHT"><FONT SIZE="-1"> 
  7   </FONT></TD>
<TD ALIGN="RIGHT"><FONT SIZE="-1">    7  </FONT></TD>
<TD ALIGN="RIGHT"><FONT SIZE="-1">  1.0   </FONT></TD>
<TD ALIGN="LEFT">&nbsp;</TD><TD ALIGN="RIGHT"><FONT SIZE="-1">   7  </FONT></TD>
<TD ALIGN="RIGHT"><FONT SIZE="-1">  39  </FONT></TD>
<TD ALIGN="RIGHT"><FONT SIZE="-1">   2.0 </FONT></TD>
</TR>
<TR><TD ALIGN="RIGHT"><FONT SIZE="-1"> 
  8   </FONT></TD>
<TD ALIGN="RIGHT"><FONT SIZE="-1">    8  </FONT></TD>
<TD ALIGN="RIGHT"><FONT SIZE="-1">  1.0   </FONT></TD>
<TD ALIGN="LEFT">&nbsp;</TD><TD ALIGN="RIGHT"><FONT SIZE="-1">   8  </FONT></TD>
<TD ALIGN="RIGHT"><FONT SIZE="-1">  40  </FONT></TD>
<TD ALIGN="RIGHT"><FONT SIZE="-1">   2.0 </FONT></TD>
</TR>
<TR><TD ALIGN="RIGHT"><FONT SIZE="-1"> 
  9   </FONT></TD>
<TD ALIGN="RIGHT"><FONT SIZE="-1">    9  </FONT></TD>
<TD ALIGN="RIGHT"><FONT SIZE="-1">  1.0   </FONT></TD>
<TD ALIGN="LEFT">&nbsp;</TD><TD ALIGN="RIGHT"><FONT SIZE="-1">   9  </FONT></TD>
<TD ALIGN="RIGHT"><FONT SIZE="-1">  41  </FONT></TD>
<TD ALIGN="RIGHT"><FONT SIZE="-1">   2.0 </FONT></TD>
</TR>
<TR><TD ALIGN="RIGHT"><FONT SIZE="-1"> 
 10   </FONT></TD>
<TD ALIGN="RIGHT"><FONT SIZE="-1">   10  </FONT></TD>
<TD ALIGN="RIGHT"><FONT SIZE="-1">  1.0   </FONT></TD>
<TD ALIGN="LEFT">&nbsp;</TD><TD ALIGN="RIGHT"><FONT SIZE="-1">  10  </FONT></TD>
<TD ALIGN="RIGHT"><FONT SIZE="-1">  42  </FONT></TD>
<TD ALIGN="RIGHT"><FONT SIZE="-1">   2.0 </FONT></TD>
</TR>
<TR><TD ALIGN="RIGHT"><FONT SIZE="-1"> 
 11   </FONT></TD>
<TD ALIGN="RIGHT"><FONT SIZE="-1">   11  </FONT></TD>
<TD ALIGN="RIGHT"><FONT SIZE="-1">  1.0   </FONT></TD>
<TD ALIGN="LEFT">&nbsp;</TD><TD ALIGN="RIGHT"><FONT SIZE="-1">  11  </FONT></TD>
<TD ALIGN="RIGHT"><FONT SIZE="-1">  43  </FONT></TD>
<TD ALIGN="RIGHT"><FONT SIZE="-1">   2.0 </FONT></TD>
</TR>
<TR><TD ALIGN="RIGHT"><FONT SIZE="-1"> 
 12   </FONT></TD>
<TD ALIGN="RIGHT"><FONT SIZE="-1">   12  </FONT></TD>
<TD ALIGN="RIGHT"><FONT SIZE="-1">  1.0   </FONT></TD>
<TD ALIGN="LEFT">&nbsp;</TD><TD ALIGN="RIGHT"><FONT SIZE="-1">  12  </FONT></TD>
<TD ALIGN="RIGHT"><FONT SIZE="-1">  44  </FONT></TD>
<TD ALIGN="RIGHT"><FONT SIZE="-1">   2.0 </FONT></TD>
</TR>
<TR><TD ALIGN="RIGHT"><FONT SIZE="-1"> 
 13   </FONT></TD>
<TD ALIGN="RIGHT"><FONT SIZE="-1">   13  </FONT></TD>
<TD ALIGN="RIGHT"><FONT SIZE="-1">  1.0   </FONT></TD>
<TD ALIGN="LEFT">&nbsp;</TD><TD ALIGN="RIGHT"><FONT SIZE="-1">  13  </FONT></TD>
<TD ALIGN="RIGHT"><FONT SIZE="-1">  45  </FONT></TD>
<TD ALIGN="RIGHT"><FONT SIZE="-1">   2.0 </FONT></TD>
</TR>
<TR><TD ALIGN="RIGHT"><FONT SIZE="-1"> 
 14   </FONT></TD>
<TD ALIGN="RIGHT"><FONT SIZE="-1">   14  </FONT></TD>
<TD ALIGN="RIGHT"><FONT SIZE="-1">  1.0   </FONT></TD>
<TD ALIGN="LEFT">&nbsp;</TD><TD ALIGN="RIGHT"><FONT SIZE="-1">  14  </FONT></TD>
<TD ALIGN="RIGHT"><FONT SIZE="-1">  46  </FONT></TD>
<TD ALIGN="RIGHT"><FONT SIZE="-1">   2.0 </FONT></TD>
</TR>
<TR><TD ALIGN="RIGHT"><FONT SIZE="-1"> 
 15   </FONT></TD>
<TD ALIGN="RIGHT"><FONT SIZE="-1">   15  </FONT></TD>
<TD ALIGN="RIGHT"><FONT SIZE="-1">  1.0   </FONT></TD>
<TD ALIGN="LEFT">&nbsp;</TD><TD ALIGN="RIGHT"><FONT SIZE="-1">  15  </FONT></TD>
<TD ALIGN="RIGHT"><FONT SIZE="-1">  47  </FONT></TD>
<TD ALIGN="RIGHT"><FONT SIZE="-1">   2.0 </FONT></TD>
</TR>
<TR><TD ALIGN="RIGHT"><FONT SIZE="-1"> 
 16   </FONT></TD>
<TD ALIGN="RIGHT"><FONT SIZE="-1">   16  </FONT></TD>
<TD ALIGN="RIGHT"><FONT SIZE="-1">  1.0   </FONT></TD>
<TD ALIGN="LEFT">&nbsp;</TD><TD ALIGN="RIGHT"><FONT SIZE="-1">  16  </FONT></TD>
<TD ALIGN="RIGHT"><FONT SIZE="-1">  48  </FONT></TD>
<TD ALIGN="RIGHT"><FONT SIZE="-1">   2.0 </FONT></TD>
</TR>
<TR><TD ALIGN="RIGHT"><FONT SIZE="-1"> 
 17   </FONT></TD>
<TD ALIGN="RIGHT"><FONT SIZE="-1">   17  </FONT></TD>
<TD ALIGN="RIGHT"><FONT SIZE="-1">  1.0   </FONT></TD>
<TD ALIGN="LEFT">&nbsp;</TD><TD ALIGN="RIGHT"><FONT SIZE="-1">  17  </FONT></TD>
<TD ALIGN="RIGHT"><FONT SIZE="-1">  49  </FONT></TD>
<TD ALIGN="RIGHT"><FONT SIZE="-1">   2.0 </FONT></TD>
</TR>
<TR><TD ALIGN="RIGHT"><FONT SIZE="-1"> 
 18   </FONT></TD>
<TD ALIGN="RIGHT"><FONT SIZE="-1">   18  </FONT></TD>
<TD ALIGN="RIGHT"><FONT SIZE="-1">  1.0   </FONT></TD>
<TD ALIGN="LEFT">&nbsp;</TD><TD ALIGN="RIGHT"><FONT SIZE="-1">  18  </FONT></TD>
<TD ALIGN="RIGHT"><FONT SIZE="-1">  50  </FONT></TD>
<TD ALIGN="RIGHT"><FONT SIZE="-1">   2.0 </FONT></TD>
</TR>
<TR><TD ALIGN="RIGHT"><FONT SIZE="-1"> 
 19   </FONT></TD>
<TD ALIGN="RIGHT"><FONT SIZE="-1">   19  </FONT></TD>
<TD ALIGN="RIGHT"><FONT SIZE="-1">  1.0   </FONT></TD>
<TD ALIGN="LEFT">&nbsp;</TD><TD ALIGN="RIGHT"><FONT SIZE="-1">  19  </FONT></TD>
<TD ALIGN="RIGHT"><FONT SIZE="-1">  51  </FONT></TD>
<TD ALIGN="RIGHT"><FONT SIZE="-1">   2.0 </FONT></TD>
</TR>
<TR><TD ALIGN="RIGHT"><FONT SIZE="-1"> 
 20   </FONT></TD>
<TD ALIGN="RIGHT"><FONT SIZE="-1">   20  </FONT></TD>
<TD ALIGN="RIGHT"><FONT SIZE="-1">  1.0   </FONT></TD>
<TD ALIGN="LEFT">&nbsp;</TD><TD ALIGN="RIGHT"><FONT SIZE="-1">  20  </FONT></TD>
<TD ALIGN="RIGHT"><FONT SIZE="-1">  52  </FONT></TD>
<TD ALIGN="RIGHT"><FONT SIZE="-1">   2.0 </FONT></TD>
</TR>
<TR><TD ALIGN="RIGHT"><FONT SIZE="-1">  
21   </FONT></TD>
<TD ALIGN="RIGHT"><FONT SIZE="-1">   21  </FONT></TD>
<TD ALIGN="RIGHT"><FONT SIZE="-1">  1.0   </FONT></TD>
<TD ALIGN="LEFT">&nbsp;</TD><TD ALIGN="RIGHT"><FONT SIZE="-1">  21  </FONT></TD>
<TD ALIGN="RIGHT"><FONT SIZE="-1">  53  </FONT></TD>
<TD ALIGN="RIGHT"><FONT SIZE="-1">   2.0 </FONT></TD>
</TR>
<TR><TD ALIGN="RIGHT"><FONT SIZE="-1"> 
22   </FONT></TD>
<TD ALIGN="RIGHT"><FONT SIZE="-1">   22  </FONT></TD>
<TD ALIGN="RIGHT"><FONT SIZE="-1">  1.0   </FONT></TD>
<TD ALIGN="LEFT">&nbsp;</TD><TD ALIGN="RIGHT"><FONT SIZE="-1">  22  </FONT></TD>
<TD ALIGN="RIGHT"><FONT SIZE="-1">  54  </FONT></TD>
<TD ALIGN="RIGHT"><FONT SIZE="-1">   2.0 </FONT></TD>
</TR>
<TR><TD ALIGN="RIGHT"><FONT SIZE="-1"> 
23   </FONT></TD>
<TD ALIGN="RIGHT"><FONT SIZE="-1">   23  </FONT></TD>
<TD ALIGN="RIGHT"><FONT SIZE="-1">  1.0   </FONT></TD>
<TD ALIGN="LEFT">&nbsp;</TD><TD ALIGN="RIGHT"><FONT SIZE="-1">  23  </FONT></TD>
<TD ALIGN="RIGHT"><FONT SIZE="-1">  55  </FONT></TD>
<TD ALIGN="RIGHT"><FONT SIZE="-1">   2.0 </FONT></TD>
</TR>
<TR><TD ALIGN="RIGHT"><FONT SIZE="-1"> 
24   </FONT></TD>
<TD ALIGN="RIGHT"><FONT SIZE="-1">   24  </FONT></TD>
<TD ALIGN="RIGHT"><FONT SIZE="-1">  1.0   </FONT></TD>
<TD ALIGN="LEFT">&nbsp;</TD><TD ALIGN="RIGHT"><FONT SIZE="-1">  24  </FONT></TD>
<TD ALIGN="RIGHT"><FONT SIZE="-1">  56  </FONT></TD>
<TD ALIGN="RIGHT"><FONT SIZE="-1">   2.0 </FONT></TD>
</TR>
<TR><TD ALIGN="RIGHT"><FONT SIZE="-1"> 
25   </FONT></TD>
<TD ALIGN="RIGHT"><FONT SIZE="-1">   25  </FONT></TD>
<TD ALIGN="RIGHT"><FONT SIZE="-1">  1.0   </FONT></TD>
<TD ALIGN="LEFT">&nbsp;</TD><TD ALIGN="RIGHT"><FONT SIZE="-1">  25  </FONT></TD>
<TD ALIGN="RIGHT"><FONT SIZE="-1">  57  </FONT></TD>
<TD ALIGN="RIGHT"><FONT SIZE="-1">   2.0 </FONT></TD>
</TR>
<TR><TD ALIGN="RIGHT"><FONT SIZE="-1"> 
26   </FONT></TD>
<TD ALIGN="RIGHT"><FONT SIZE="-1">   26  </FONT></TD>
<TD ALIGN="RIGHT"><FONT SIZE="-1">  1.0   </FONT></TD>
<TD ALIGN="LEFT">&nbsp;</TD><TD ALIGN="RIGHT"><FONT SIZE="-1">  26  </FONT></TD>
<TD ALIGN="RIGHT"><FONT SIZE="-1">  58  </FONT></TD>
<TD ALIGN="RIGHT"><FONT SIZE="-1">   2.0 </FONT></TD>
</TR>
<TR><TD ALIGN="RIGHT"><FONT SIZE="-1"> 
27   </FONT></TD>
<TD ALIGN="RIGHT"><FONT SIZE="-1">   27  </FONT></TD>
<TD ALIGN="RIGHT"><FONT SIZE="-1">  1.0   </FONT></TD>
<TD ALIGN="LEFT">&nbsp;</TD><TD ALIGN="RIGHT"><FONT SIZE="-1">  27  </FONT></TD>
<TD ALIGN="RIGHT"><FONT SIZE="-1">  59  </FONT></TD>
<TD ALIGN="RIGHT"><FONT SIZE="-1">   2.0 </FONT></TD>
</TR>
<TR><TD ALIGN="RIGHT"><FONT SIZE="-1"> 
28   </FONT></TD>
<TD ALIGN="RIGHT"><FONT SIZE="-1">   28  </FONT></TD>
<TD ALIGN="RIGHT"><FONT SIZE="-1">  1.0   </FONT></TD>
<TD ALIGN="LEFT">&nbsp;</TD><TD ALIGN="RIGHT"><FONT SIZE="-1">  28  </FONT></TD>
<TD ALIGN="RIGHT"><FONT SIZE="-1">  60  </FONT></TD>
<TD ALIGN="RIGHT"><FONT SIZE="-1">   2.0 </FONT></TD>
</TR>
<TR><TD ALIGN="RIGHT"><FONT SIZE="-1"> 
29   </FONT></TD>
<TD ALIGN="RIGHT"><FONT SIZE="-1">   29  </FONT></TD>
<TD ALIGN="RIGHT"><FONT SIZE="-1">  1.0   </FONT></TD>
<TD ALIGN="LEFT">&nbsp;</TD><TD ALIGN="RIGHT"><FONT SIZE="-1">  29  </FONT></TD>
<TD ALIGN="RIGHT"><FONT SIZE="-1">  61  </FONT></TD>
<TD ALIGN="RIGHT"><FONT SIZE="-1">   2.0 </FONT></TD>
</TR>
<TR><TD ALIGN="RIGHT"><FONT SIZE="-1"> 
30   </FONT></TD>
<TD ALIGN="RIGHT"><FONT SIZE="-1">   30  </FONT></TD>
<TD ALIGN="RIGHT"><FONT SIZE="-1">  1.0   </FONT></TD>
<TD ALIGN="LEFT">&nbsp;</TD><TD ALIGN="RIGHT"><FONT SIZE="-1">  30  </FONT></TD>
<TD ALIGN="RIGHT"><FONT SIZE="-1">  62  </FONT></TD>
<TD ALIGN="RIGHT"><FONT SIZE="-1">   2.0 </FONT></TD>
</TR>
<TR><TD ALIGN="RIGHT"><FONT SIZE="-1"> 
31   </FONT></TD>
<TD ALIGN="RIGHT"><FONT SIZE="-1">   31  </FONT></TD>
<TD ALIGN="RIGHT"><FONT SIZE="-1">  1.0   </FONT></TD>
<TD ALIGN="LEFT">&nbsp;</TD><TD ALIGN="RIGHT"><FONT SIZE="-1">  31  </FONT></TD>
<TD ALIGN="RIGHT"><FONT SIZE="-1">  63  </FONT></TD>
<TD ALIGN="RIGHT"><FONT SIZE="-1">   2.0 </FONT></TD>
</TR>
<TR><TD ALIGN="RIGHT"><FONT SIZE="-1"> 
32   </FONT></TD>
<TD ALIGN="RIGHT"><FONT SIZE="-1">   32  </FONT></TD>
<TD ALIGN="RIGHT"><FONT SIZE="-1">  1.0   </FONT></TD>
<TD ALIGN="LEFT">&nbsp;</TD><TD ALIGN="RIGHT"><FONT SIZE="-1">  32  </FONT></TD>
<TD ALIGN="RIGHT"><FONT SIZE="-1">  64  </FONT></TD>
<TD ALIGN="RIGHT"><FONT SIZE="-1">   2.0 </FONT></TD>
</TR>
<TR><TD ALIGN="RIGHT"><FONT SIZE="-1"> 
33   </FONT></TD>
<TD ALIGN="RIGHT"><FONT SIZE="-1">   33  </FONT></TD>
<TD ALIGN="RIGHT"><FONT SIZE="-1">  2.0   </FONT></TD>
<TD ALIGN="LEFT">&nbsp;</TD><TD ALIGN="RIGHT"><FONT SIZE="-1">  33  </FONT></TD>
<TD ALIGN="RIGHT"><FONT SIZE="-1">  25  </FONT></TD>
<TD ALIGN="RIGHT"><FONT SIZE="-1">   1.0 </FONT></TD>
</TR>
<TR><TD ALIGN="RIGHT"><FONT SIZE="-1"> 
34   </FONT></TD>
<TD ALIGN="RIGHT"><FONT SIZE="-1">   34  </FONT></TD>
<TD ALIGN="RIGHT"><FONT SIZE="-1">  2.0   </FONT></TD>
<TD ALIGN="LEFT">&nbsp;</TD><TD ALIGN="RIGHT"><FONT SIZE="-1">  34  </FONT></TD>
<TD ALIGN="RIGHT"><FONT SIZE="-1">  26  </FONT></TD>
<TD ALIGN="RIGHT"><FONT SIZE="-1">   1.0 </FONT></TD>
</TR>
<TR><TD ALIGN="RIGHT"><FONT SIZE="-1"> 
35   </FONT></TD>
<TD ALIGN="RIGHT"><FONT SIZE="-1">   35  </FONT></TD>
<TD ALIGN="RIGHT"><FONT SIZE="-1">  2.0   </FONT></TD>
<TD ALIGN="LEFT">&nbsp;</TD><TD ALIGN="RIGHT"><FONT SIZE="-1">  35  </FONT></TD>
<TD ALIGN="RIGHT"><FONT SIZE="-1">  27  </FONT></TD>
<TD ALIGN="RIGHT"><FONT SIZE="-1">   1.0 </FONT></TD>
</TR>
<TR><TD ALIGN="RIGHT"><FONT SIZE="-1"> 
36   </FONT></TD>
<TD ALIGN="RIGHT"><FONT SIZE="-1">   36  </FONT></TD>
<TD ALIGN="RIGHT"><FONT SIZE="-1">  2.0   </FONT></TD>
<TD ALIGN="LEFT">&nbsp;</TD><TD ALIGN="RIGHT"><FONT SIZE="-1">  36  </FONT></TD>
<TD ALIGN="RIGHT"><FONT SIZE="-1">  28  </FONT></TD>
<TD ALIGN="RIGHT"><FONT SIZE="-1">   1.0 </FONT></TD>
</TR>
<TR><TD ALIGN="RIGHT"><FONT SIZE="-1"> 
37   </FONT></TD>
<TD ALIGN="RIGHT"><FONT SIZE="-1">   37  </FONT></TD>
<TD ALIGN="RIGHT"><FONT SIZE="-1">  2.0   </FONT></TD>
<TD ALIGN="LEFT">&nbsp;</TD><TD ALIGN="RIGHT"><FONT SIZE="-1">  37  </FONT></TD>
<TD ALIGN="RIGHT"><FONT SIZE="-1">  29  </FONT></TD>
<TD ALIGN="RIGHT"><FONT SIZE="-1">   1.0 </FONT></TD>
</TR>
<TR><TD ALIGN="RIGHT"><FONT SIZE="-1"> 
38   </FONT></TD>
<TD ALIGN="RIGHT"><FONT SIZE="-1">   38  </FONT></TD>
<TD ALIGN="RIGHT"><FONT SIZE="-1">  2.0   </FONT></TD>
<TD ALIGN="LEFT">&nbsp;</TD><TD ALIGN="RIGHT"><FONT SIZE="-1">  38  </FONT></TD>
<TD ALIGN="RIGHT"><FONT SIZE="-1">  30  </FONT></TD>
<TD ALIGN="RIGHT"><FONT SIZE="-1">   1.0 </FONT></TD>
</TR>
<TR><TD ALIGN="RIGHT"><FONT SIZE="-1"> 
39   </FONT></TD>
<TD ALIGN="RIGHT"><FONT SIZE="-1">   39  </FONT></TD>
<TD ALIGN="RIGHT"><FONT SIZE="-1">  2.0   </FONT></TD>
<TD ALIGN="LEFT">&nbsp;</TD><TD ALIGN="RIGHT"><FONT SIZE="-1">  39  </FONT></TD>
<TD ALIGN="RIGHT"><FONT SIZE="-1">  31  </FONT></TD>
<TD ALIGN="RIGHT"><FONT SIZE="-1">   1.0 </FONT></TD>
</TR>
<TR><TD ALIGN="RIGHT"><FONT SIZE="-1"> 
40   </FONT></TD>
<TD ALIGN="RIGHT"><FONT SIZE="-1">   40  </FONT></TD>
<TD ALIGN="RIGHT"><FONT SIZE="-1">  2.0   </FONT></TD>
<TD ALIGN="LEFT">&nbsp;</TD><TD ALIGN="RIGHT"><FONT SIZE="-1">  40  </FONT></TD>
<TD ALIGN="RIGHT"><FONT SIZE="-1">  32  </FONT></TD>
<TD ALIGN="RIGHT"><FONT SIZE="-1">   1.0 </FONT></TD>
</TR>
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