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<head><title>psb_halo &#8212; Halo Data Communication</title>
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<h4 class="subsectionHead"><span class="titlemark">5.1 </span> <a
id="x36-730005.1"></a>psb_halo &#8212; Halo Data Communication</h4>
<!--l. 14--><p class="noindent" >These subroutines gathers the values of the halo elements:
<center class="par-math-display" >
<img
src="userhtml25x.png" alt="x &#x2190; x
" class="par-math-display" ></center>
<!--l. 17--><p class="nopar" > where:
<dl class="description"><dt class="description">
<span
class="cmmi-10">x</span> </dt><dd
class="description">is a global dense submatrix.</dd></dl>
<div class="table">
<!--l. 23--><p class="indent" > <a
id="x36-73001r17"></a><hr class="float"><div class="float"
>
<div class="center"
>
<!--l. 24--><p class="noindent" >
<div class="tabular"> <table id="TBL-17" class="tabular"
cellspacing="0" cellpadding="0"
><colgroup id="TBL-17-1g"><col
id="TBL-17-1"><col
id="TBL-17-2"></colgroup><tr
class="hline"><td><hr></td><td><hr></td></tr><tr
style="vertical-align:baseline;" id="TBL-17-1-"><td style="white-space:nowrap; text-align:left;" id="TBL-17-1-1"
class="td11"><span
class="cmmi-10">&#x03B1;</span>, <span
class="cmmi-10">x </span></td><td style="white-space:nowrap; text-align:left;" id="TBL-17-1-2"
class="td11"><span
class="cmbx-10">Subroutine</span></td>
</tr><tr
class="hline"><td><hr></td><td><hr></td></tr><tr
style="vertical-align:baseline;" id="TBL-17-2-"><td style="white-space:nowrap; text-align:left;" id="TBL-17-2-1"
class="td11">Integer </td><td style="white-space:nowrap; text-align:left;" id="TBL-17-2-2"
class="td11">psb_halo </td>
</tr><tr
style="vertical-align:baseline;" id="TBL-17-3-"><td style="white-space:nowrap; text-align:left;" id="TBL-17-3-1"
class="td11">Short Precision Real </td><td style="white-space:nowrap; text-align:left;" id="TBL-17-3-2"
class="td11">psb_halo </td>
</tr><tr
style="vertical-align:baseline;" id="TBL-17-4-"><td style="white-space:nowrap; text-align:left;" id="TBL-17-4-1"
class="td11">Long Precision Real </td><td style="white-space:nowrap; text-align:left;" id="TBL-17-4-2"
class="td11">psb_halo </td>
</tr><tr
style="vertical-align:baseline;" id="TBL-17-5-"><td style="white-space:nowrap; text-align:left;" id="TBL-17-5-1"
class="td11">Short Precision Complex</td><td style="white-space:nowrap; text-align:left;" id="TBL-17-5-2"
class="td11">psb_halo </td>
</tr><tr
style="vertical-align:baseline;" id="TBL-17-6-"><td style="white-space:nowrap; text-align:left;" id="TBL-17-6-1"
class="td11">Long Precision Complex </td><td style="white-space:nowrap; text-align:left;" id="TBL-17-6-2"
class="td11">psb_halo </td>
</tr><tr
class="hline"><td><hr></td><td><hr></td></tr><tr
style="vertical-align:baseline;" id="TBL-17-7-"><td style="white-space:nowrap; text-align:left;" id="TBL-17-7-1"
class="td11"> </td></tr></table></div></div>
<br /> <div class="caption"
><span class="id">Table&#x00A0;17: </span><span
class="content">Data types</span></div><!--tex4ht:label?: x36-73001r17 -->
</div><hr class="endfloat" />
</div>
<!--l. 40--><p class="noindent" ><span class="lstinline"></span><span
class="cmtt-10">call</span><span
class="cmtt-10">&#x00A0;</span><span
class="cmtt-10">psb_halo</span><span
class="cmtt-10">(</span><span
class="cmtt-10">x</span><span
class="cmtt-10">,</span><span
class="cmtt-10">&#x00A0;</span><span
class="cmtt-10">desc_a</span><span
class="cmtt-10">,</span><span
class="cmtt-10">&#x00A0;</span><span
class="cmtt-10">info</span><span
class="cmtt-10">)</span><br
class="newline" /><span class="lstinline"></span><span
class="cmtt-10">call</span><span
class="cmtt-10">&#x00A0;</span><span
class="cmtt-10">psb_halo</span><span
class="cmtt-10">(</span><span
class="cmtt-10">x</span><span
class="cmtt-10">,</span><span
class="cmtt-10">&#x00A0;</span><span
class="cmtt-10">desc_a</span><span
class="cmtt-10">,</span><span
class="cmtt-10">&#x00A0;</span><span
class="cmtt-10">info</span><span
class="cmtt-10">,</span><span
class="cmtt-10">&#x00A0;</span><span
class="cmtt-10">work</span><span
class="cmtt-10">,</span><span
class="cmtt-10">&#x00A0;</span><span
class="cmtt-10">data</span><span
class="cmtt-10">)</span>
<dl class="description"><dt class="description">
<span
class="cmbx-10">Type:</span> </dt><dd
class="description">Synchronous.
</dd><dt class="description">
<span
class="cmbx-10">On Entry</span> </dt><dd
class="description">
</dd><dt class="description">
<span
class="cmbx-10">x</span> </dt><dd
class="description">global dense matrix <span
class="cmmi-10">x</span>.<br
class="newline" />Scope: <span
class="cmbx-10">local </span><br
class="newline" />Type: <span
class="cmbx-10">required </span><br
class="newline" />Intent: <span
class="cmbx-10">inout</span>.<br
class="newline" />Specified as: a rank one or two array or an object of type
<a
href="userhtmlsu7.html#vdata"><span
class="cmtt-10">psb</span><span
class="cmtt-10">_T</span><span
class="cmtt-10">_vect</span><span
class="cmtt-10">_type</span></a>&#x00A0;containing numbers of type specified in Table&#x00A0;<a
href="#x36-73001r17">17<!--tex4ht:ref: tab:f90halo --></a>.
</dd><dt class="description">
<span
class="cmbx-10">desc</span><span
class="cmbx-10">_a</span> </dt><dd
class="description">contains data structures for communications.<br
class="newline" />Scope: <span
class="cmbx-10">local </span><br
class="newline" />Type: <span
class="cmbx-10">required</span><br
class="newline" />Intent: <span
class="cmbx-10">in</span>.<br
class="newline" />Specified as: a structured data of type <a
href="userhtmlsu5.html#descdata"><span
class="cmtt-10">psb</span><span
class="cmtt-10">_desc</span><span
class="cmtt-10">_type</span></a>.
</dd><dt class="description">
<span
class="cmbx-10">work</span> </dt><dd
class="description">the work array. <br
class="newline" />Scope: <span
class="cmbx-10">local </span><br
class="newline" />Type: <span
class="cmbx-10">optional</span><br
class="newline" />Intent: <span
class="cmbx-10">inout</span>.<br
class="newline" />Specified as: a rank one array of the same type of <span
class="cmmi-10">x</span>.
</dd><dt class="description">
<span
class="cmbx-10">data</span> </dt><dd
class="description">index list selector.<br
class="newline" />Scope: <span
class="cmbx-10">global </span><br
class="newline" />Type: <span
class="cmbx-10">optional </span><br
class="newline" />Specified
as: an integer. Values:<span class="lstinline"></span><span
class="cmtt-10">psb_comm_halo_</span>,<span class="lstinline"></span><span
class="cmtt-10">psb_comm_mov_</span>, <span class="lstinline"></span><span
class="cmtt-10">psb_comm_ext_</span>,
default: <span class="lstinline"></span><span
class="cmtt-10">psb_comm_halo_</span>. Chooses the index list on which to base the data
exchange.
</dd><dt class="description">
<span
class="cmbx-10">On Return</span> </dt><dd
class="description">
</dd><dt class="description">
<span
class="cmbx-10">x</span> </dt><dd
class="description">global dense result matrix <span
class="cmmi-10">x</span>.<br
class="newline" />Scope: <span
class="cmbx-10">local </span><br
class="newline" />Type: <span
class="cmbx-10">required </span><br
class="newline" />Intent: <span
class="cmbx-10">inout</span>.<br
class="newline" />Returned as: a rank one or two array containing numbers of type specified
in Table&#x00A0;<a
href="#x36-73001r17">17<!--tex4ht:ref: tab:f90halo --></a>.
</dd><dt class="description">
<span
class="cmbx-10">info</span> </dt><dd
class="description">the local portion of result submatrix <span
class="cmmi-10">y</span>.<br
class="newline" />Scope: <span
class="cmbx-10">local </span><br
class="newline" />Type: <span
class="cmbx-10">required </span><br
class="newline" />Intent: <span
class="cmbx-10">out</span>.<br
class="newline" />An integer value that contains an error code.</dd></dl>
<!--l. 85--><p class="noindent" ><hr class="figure"><div class="figure"
><a
id="x36-73002r3"></a>
<div class="center"
>
<!--l. 86--><p class="noindent" >
<!--l. 88--><p class="noindent" ><img
src="try8x8.png" alt="PIC"
width="32" height="32" ></div>
<br /> <div class="caption"
><span class="id">Figure&#x00A0;3: </span><span
class="content">Sample discretization mesh.</span></div><!--tex4ht:label?: x36-73002r3 -->
<!--l. 94--><p class="indent" > </div><hr class="endfigure">
<!--l. 96--><p class="noindent" ><span
class="cmbx-12">Usage Example </span>Consider the discretization mesh depicted in fig.&#x00A0;<a
href="#x36-73002r3">3<!--tex4ht:ref: fig:try8x8 --></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 <span
class="cmmi-10">x </span>vector, and process 1 assigns a value of 2, then after
a call to <span class="lstinline"></span><span
class="cmtt-10">psb_halo</span> the contents of the local vectors will be the following:
<div class="table">
<!--l. 106--><p class="indent" > <hr class="float"><div class="float"
>
<div class="center"
>
<!--l. 106--><p class="noindent" >
<div class="tabular"> <table id="TBL-18" class="tabular"
cellspacing="0" cellpadding="0"
><colgroup id="TBL-18-1g"><col
id="TBL-18-1"><col
id="TBL-18-2"><col
id="TBL-18-3"><col
id="TBL-18-4"><col
id="TBL-18-5"><col
id="TBL-18-6"></colgroup><tr
style="vertical-align:baseline;" id="TBL-18-1-"><td colspan="3" style="white-space:nowrap; text-align:right;" id="TBL-18-1-1"
class="td11"> <div class="multicolumn" style="white-space:nowrap; text-align:center;"><span
class="cmr-9">Process 0</span></div> </td><td colspan="3" style="white-space:nowrap; text-align:right;" id="TBL-18-1-4"
class="td01"> <div class="multicolumn" style="white-space:nowrap; text-align:center;"><span
class="cmr-9">Process 1</span></div>
</td></tr><tr
style="vertical-align:baseline;" id="TBL-18-2-"><td style="white-space:nowrap; text-align:right;" id="TBL-18-2-1"
class="td11"> <span
class="cmr-9">I</span></td><td style="white-space:nowrap; text-align:right;" id="TBL-18-2-2"
class="td11"><span
class="cmr-9">GLOB(I)</span></td><td style="white-space:nowrap; text-align:right;" id="TBL-18-2-3"
class="td10"><span
class="cmr-9">X(I)</span></td><td style="white-space:nowrap; text-align:right;" id="TBL-18-2-4"
class="td01"> <span
class="cmr-9">I</span></td><td style="white-space:nowrap; text-align:right;" id="TBL-18-2-5"
class="td11"><span
class="cmr-9">GLOB(I)</span></td><td style="white-space:nowrap; text-align:right;" id="TBL-18-2-6"
class="td11"><span
class="cmr-9">X(I)</span></td>
</tr><tr
style="vertical-align:baseline;" id="TBL-18-3-"><td style="white-space:nowrap; text-align:right;" id="TBL-18-3-1"
class="td11"> <span
class="cmr-9">1</span></td><td style="white-space:nowrap; text-align:right;" id="TBL-18-3-2"
class="td11"> <span
class="cmr-9">1</span></td><td style="white-space:nowrap; text-align:right;" id="TBL-18-3-3"
class="td10"> <span
class="cmr-9">1.0</span></td><td style="white-space:nowrap; text-align:right;" id="TBL-18-3-4"
class="td01"> <span
class="cmr-9">1</span></td><td style="white-space:nowrap; text-align:right;" id="TBL-18-3-5"
class="td11"> <span
class="cmr-9">33</span></td><td style="white-space:nowrap; text-align:right;" id="TBL-18-3-6"
class="td11"> <span
class="cmr-9">2.0</span></td></tr><tr
style="vertical-align:baseline;" id="TBL-18-4-"><td style="white-space:nowrap; text-align:right;" id="TBL-18-4-1"
class="td11"> <span
class="cmr-9">2</span></td><td style="white-space:nowrap; text-align:right;" id="TBL-18-4-2"
class="td11"> <span
class="cmr-9">2</span></td><td style="white-space:nowrap; text-align:right;" id="TBL-18-4-3"
class="td10"> <span
class="cmr-9">1.0</span></td><td style="white-space:nowrap; text-align:right;" id="TBL-18-4-4"
class="td01"> <span
class="cmr-9">2</span></td><td style="white-space:nowrap; text-align:right;" id="TBL-18-4-5"
class="td11"> <span
class="cmr-9">34</span></td><td style="white-space:nowrap; text-align:right;" id="TBL-18-4-6"
class="td11"> <span
class="cmr-9">2.0</span></td>
</tr><tr
style="vertical-align:baseline;" id="TBL-18-5-"><td style="white-space:nowrap; text-align:right;" id="TBL-18-5-1"
class="td11"> <span
class="cmr-9">3</span></td><td style="white-space:nowrap; text-align:right;" id="TBL-18-5-2"
class="td11"> <span
class="cmr-9">3</span></td><td style="white-space:nowrap; text-align:right;" id="TBL-18-5-3"
class="td10"> <span
class="cmr-9">1.0</span></td><td style="white-space:nowrap; text-align:right;" id="TBL-18-5-4"
class="td01"> <span
class="cmr-9">3</span></td><td style="white-space:nowrap; text-align:right;" id="TBL-18-5-5"
class="td11"> <span
class="cmr-9">35</span></td><td style="white-space:nowrap; text-align:right;" id="TBL-18-5-6"
class="td11"> <span
class="cmr-9">2.0</span></td></tr><tr
style="vertical-align:baseline;" id="TBL-18-6-"><td style="white-space:nowrap; text-align:right;" id="TBL-18-6-1"
class="td11"> <span
class="cmr-9">4</span></td><td style="white-space:nowrap; text-align:right;" id="TBL-18-6-2"
class="td11"> <span
class="cmr-9">4</span></td><td style="white-space:nowrap; text-align:right;" id="TBL-18-6-3"
class="td10"> <span
class="cmr-9">1.0</span></td><td style="white-space:nowrap; text-align:right;" id="TBL-18-6-4"
class="td01"> <span
class="cmr-9">4</span></td><td style="white-space:nowrap; text-align:right;" id="TBL-18-6-5"
class="td11"> <span
class="cmr-9">36</span></td><td style="white-space:nowrap; text-align:right;" id="TBL-18-6-6"
class="td11"> <span
class="cmr-9">2.0</span></td>
</tr><tr
style="vertical-align:baseline;" id="TBL-18-7-"><td style="white-space:nowrap; text-align:right;" id="TBL-18-7-1"
class="td11"> <span
class="cmr-9">5</span></td><td style="white-space:nowrap; text-align:right;" id="TBL-18-7-2"
class="td11"> <span
class="cmr-9">5</span></td><td style="white-space:nowrap; text-align:right;" id="TBL-18-7-3"
class="td10"> <span
class="cmr-9">1.0</span></td><td style="white-space:nowrap; text-align:right;" id="TBL-18-7-4"
class="td01"> <span
class="cmr-9">5</span></td><td style="white-space:nowrap; text-align:right;" id="TBL-18-7-5"
class="td11"> <span
class="cmr-9">37</span></td><td style="white-space:nowrap; text-align:right;" id="TBL-18-7-6"
class="td11"> <span
class="cmr-9">2.0</span></td></tr><tr
style="vertical-align:baseline;" id="TBL-18-8-"><td style="white-space:nowrap; text-align:right;" id="TBL-18-8-1"
class="td11"> <span
class="cmr-9">6</span></td><td style="white-space:nowrap; text-align:right;" id="TBL-18-8-2"
class="td11"> <span
class="cmr-9">6</span></td><td style="white-space:nowrap; text-align:right;" id="TBL-18-8-3"
class="td10"> <span
class="cmr-9">1.0</span></td><td style="white-space:nowrap; text-align:right;" id="TBL-18-8-4"
class="td01"> <span
class="cmr-9">6</span></td><td style="white-space:nowrap; text-align:right;" id="TBL-18-8-5"
class="td11"> <span
class="cmr-9">38</span></td><td style="white-space:nowrap; text-align:right;" id="TBL-18-8-6"
class="td11"> <span
class="cmr-9">2.0</span></td>
</tr><tr
style="vertical-align:baseline;" id="TBL-18-9-"><td style="white-space:nowrap; text-align:right;" id="TBL-18-9-1"
class="td11"> <span
class="cmr-9">7</span></td><td style="white-space:nowrap; text-align:right;" id="TBL-18-9-2"
class="td11"> <span
class="cmr-9">7</span></td><td style="white-space:nowrap; text-align:right;" id="TBL-18-9-3"
class="td10"> <span
class="cmr-9">1.0</span></td><td style="white-space:nowrap; text-align:right;" id="TBL-18-9-4"
class="td01"> <span
class="cmr-9">7</span></td><td style="white-space:nowrap; text-align:right;" id="TBL-18-9-5"
class="td11"> <span
class="cmr-9">39</span></td><td style="white-space:nowrap; text-align:right;" id="TBL-18-9-6"
class="td11"> <span
class="cmr-9">2.0</span></td></tr><tr
style="vertical-align:baseline;" id="TBL-18-10-"><td style="white-space:nowrap; text-align:right;" id="TBL-18-10-1"
class="td11"> <span
class="cmr-9">8</span></td><td style="white-space:nowrap; text-align:right;" id="TBL-18-10-2"
class="td11"> <span
class="cmr-9">8</span></td><td style="white-space:nowrap; text-align:right;" id="TBL-18-10-3"
class="td10"> <span
class="cmr-9">1.0</span></td><td style="white-space:nowrap; text-align:right;" id="TBL-18-10-4"
class="td01"> <span
class="cmr-9">8</span></td><td style="white-space:nowrap; text-align:right;" id="TBL-18-10-5"
class="td11"> <span
class="cmr-9">40</span></td><td style="white-space:nowrap; text-align:right;" id="TBL-18-10-6"
class="td11"> <span
class="cmr-9">2.0</span></td>
</tr><tr
style="vertical-align:baseline;" id="TBL-18-11-"><td style="white-space:nowrap; text-align:right;" id="TBL-18-11-1"
class="td11"> <span
class="cmr-9">9</span></td><td style="white-space:nowrap; text-align:right;" id="TBL-18-11-2"
class="td11"> <span
class="cmr-9">9</span></td><td style="white-space:nowrap; text-align:right;" id="TBL-18-11-3"
class="td10"> <span
class="cmr-9">1.0</span></td><td style="white-space:nowrap; text-align:right;" id="TBL-18-11-4"
class="td01"> <span
class="cmr-9">9</span></td><td style="white-space:nowrap; text-align:right;" id="TBL-18-11-5"
class="td11"> <span
class="cmr-9">41</span></td><td style="white-space:nowrap; text-align:right;" id="TBL-18-11-6"
class="td11"> <span
class="cmr-9">2.0</span></td></tr><tr
style="vertical-align:baseline;" id="TBL-18-12-"><td style="white-space:nowrap; text-align:right;" id="TBL-18-12-1"
class="td11"><span
class="cmr-9">10</span></td><td style="white-space:nowrap; text-align:right;" id="TBL-18-12-2"
class="td11"> <span
class="cmr-9">10</span></td><td style="white-space:nowrap; text-align:right;" id="TBL-18-12-3"
class="td10"> <span
class="cmr-9">1.0</span></td><td style="white-space:nowrap; text-align:right;" id="TBL-18-12-4"
class="td01"><span
class="cmr-9">10</span></td><td style="white-space:nowrap; text-align:right;" id="TBL-18-12-5"
class="td11"> <span
class="cmr-9">42</span></td><td style="white-space:nowrap; text-align:right;" id="TBL-18-12-6"
class="td11"> <span
class="cmr-9">2.0</span></td>
</tr><tr
style="vertical-align:baseline;" id="TBL-18-13-"><td style="white-space:nowrap; text-align:right;" id="TBL-18-13-1"
class="td11"><span
class="cmr-9">11</span></td><td style="white-space:nowrap; text-align:right;" id="TBL-18-13-2"
class="td11"> <span
class="cmr-9">11</span></td><td style="white-space:nowrap; text-align:right;" id="TBL-18-13-3"
class="td10"> <span
class="cmr-9">1.0</span></td><td style="white-space:nowrap; text-align:right;" id="TBL-18-13-4"
class="td01"><span
class="cmr-9">11</span></td><td style="white-space:nowrap; text-align:right;" id="TBL-18-13-5"
class="td11"> <span
class="cmr-9">43</span></td><td style="white-space:nowrap; text-align:right;" id="TBL-18-13-6"
class="td11"> <span
class="cmr-9">2.0</span></td></tr><tr
style="vertical-align:baseline;" id="TBL-18-14-"><td style="white-space:nowrap; text-align:right;" id="TBL-18-14-1"
class="td11"><span
class="cmr-9">12</span></td><td style="white-space:nowrap; text-align:right;" id="TBL-18-14-2"
class="td11"> <span
class="cmr-9">12</span></td><td style="white-space:nowrap; text-align:right;" id="TBL-18-14-3"
class="td10"> <span
class="cmr-9">1.0</span></td><td style="white-space:nowrap; text-align:right;" id="TBL-18-14-4"
class="td01"><span
class="cmr-9">12</span></td><td style="white-space:nowrap; text-align:right;" id="TBL-18-14-5"
class="td11"> <span
class="cmr-9">44</span></td><td style="white-space:nowrap; text-align:right;" id="TBL-18-14-6"
class="td11"> <span
class="cmr-9">2.0</span></td>
</tr><tr
style="vertical-align:baseline;" id="TBL-18-15-"><td style="white-space:nowrap; text-align:right;" id="TBL-18-15-1"
class="td11"><span
class="cmr-9">13</span></td><td style="white-space:nowrap; text-align:right;" id="TBL-18-15-2"
class="td11"> <span
class="cmr-9">13</span></td><td style="white-space:nowrap; text-align:right;" id="TBL-18-15-3"
class="td10"> <span
class="cmr-9">1.0</span></td><td style="white-space:nowrap; text-align:right;" id="TBL-18-15-4"
class="td01"><span
class="cmr-9">13</span></td><td style="white-space:nowrap; text-align:right;" id="TBL-18-15-5"
class="td11"> <span
class="cmr-9">45</span></td><td style="white-space:nowrap; text-align:right;" id="TBL-18-15-6"
class="td11"> <span
class="cmr-9">2.0</span></td></tr><tr
style="vertical-align:baseline;" id="TBL-18-16-"><td style="white-space:nowrap; text-align:right;" id="TBL-18-16-1"
class="td11"><span
class="cmr-9">14</span></td><td style="white-space:nowrap; text-align:right;" id="TBL-18-16-2"
class="td11"> <span
class="cmr-9">14</span></td><td style="white-space:nowrap; text-align:right;" id="TBL-18-16-3"
class="td10"> <span
class="cmr-9">1.0</span></td><td style="white-space:nowrap; text-align:right;" id="TBL-18-16-4"
class="td01"><span
class="cmr-9">14</span></td><td style="white-space:nowrap; text-align:right;" id="TBL-18-16-5"
class="td11"> <span
class="cmr-9">46</span></td><td style="white-space:nowrap; text-align:right;" id="TBL-18-16-6"
class="td11"> <span
class="cmr-9">2.0</span></td>
</tr><tr
style="vertical-align:baseline;" id="TBL-18-17-"><td style="white-space:nowrap; text-align:right;" id="TBL-18-17-1"
class="td11"><span
class="cmr-9">15</span></td><td style="white-space:nowrap; text-align:right;" id="TBL-18-17-2"
class="td11"> <span
class="cmr-9">15</span></td><td style="white-space:nowrap; text-align:right;" id="TBL-18-17-3"
class="td10"> <span
class="cmr-9">1.0</span></td><td style="white-space:nowrap; text-align:right;" id="TBL-18-17-4"
class="td01"><span
class="cmr-9">15</span></td><td style="white-space:nowrap; text-align:right;" id="TBL-18-17-5"
class="td11"> <span
class="cmr-9">47</span></td><td style="white-space:nowrap; text-align:right;" id="TBL-18-17-6"
class="td11"> <span
class="cmr-9">2.0</span></td></tr><tr
style="vertical-align:baseline;" id="TBL-18-18-"><td style="white-space:nowrap; text-align:right;" id="TBL-18-18-1"
class="td11"><span
class="cmr-9">16</span></td><td style="white-space:nowrap; text-align:right;" id="TBL-18-18-2"
class="td11"> <span
class="cmr-9">16</span></td><td style="white-space:nowrap; text-align:right;" id="TBL-18-18-3"
class="td10"> <span
class="cmr-9">1.0</span></td><td style="white-space:nowrap; text-align:right;" id="TBL-18-18-4"
class="td01"><span
class="cmr-9">16</span></td><td style="white-space:nowrap; text-align:right;" id="TBL-18-18-5"
class="td11"> <span
class="cmr-9">48</span></td><td style="white-space:nowrap; text-align:right;" id="TBL-18-18-6"
class="td11"> <span
class="cmr-9">2.0</span></td>
</tr><tr
style="vertical-align:baseline;" id="TBL-18-19-"><td style="white-space:nowrap; text-align:right;" id="TBL-18-19-1"
class="td11"><span
class="cmr-9">17</span></td><td style="white-space:nowrap; text-align:right;" id="TBL-18-19-2"
class="td11"> <span
class="cmr-9">17</span></td><td style="white-space:nowrap; text-align:right;" id="TBL-18-19-3"
class="td10"> <span
class="cmr-9">1.0</span></td><td style="white-space:nowrap; text-align:right;" id="TBL-18-19-4"
class="td01"><span
class="cmr-9">17</span></td><td style="white-space:nowrap; text-align:right;" id="TBL-18-19-5"
class="td11"> <span
class="cmr-9">49</span></td><td style="white-space:nowrap; text-align:right;" id="TBL-18-19-6"
class="td11"> <span
class="cmr-9">2.0</span></td></tr><tr
style="vertical-align:baseline;" id="TBL-18-20-"><td style="white-space:nowrap; text-align:right;" id="TBL-18-20-1"
class="td11"><span
class="cmr-9">18</span></td><td style="white-space:nowrap; text-align:right;" id="TBL-18-20-2"
class="td11"> <span
class="cmr-9">18</span></td><td style="white-space:nowrap; text-align:right;" id="TBL-18-20-3"
class="td10"> <span
class="cmr-9">1.0</span></td><td style="white-space:nowrap; text-align:right;" id="TBL-18-20-4"
class="td01"><span
class="cmr-9">18</span></td><td style="white-space:nowrap; text-align:right;" id="TBL-18-20-5"
class="td11"> <span
class="cmr-9">50</span></td><td style="white-space:nowrap; text-align:right;" id="TBL-18-20-6"
class="td11"> <span
class="cmr-9">2.0</span></td>
</tr><tr
style="vertical-align:baseline;" id="TBL-18-21-"><td style="white-space:nowrap; text-align:right;" id="TBL-18-21-1"
class="td11"><span
class="cmr-9">19</span></td><td style="white-space:nowrap; text-align:right;" id="TBL-18-21-2"
class="td11"> <span
class="cmr-9">19</span></td><td style="white-space:nowrap; text-align:right;" id="TBL-18-21-3"
class="td10"> <span
class="cmr-9">1.0</span></td><td style="white-space:nowrap; text-align:right;" id="TBL-18-21-4"
class="td01"><span
class="cmr-9">19</span></td><td style="white-space:nowrap; text-align:right;" id="TBL-18-21-5"
class="td11"> <span
class="cmr-9">51</span></td><td style="white-space:nowrap; text-align:right;" id="TBL-18-21-6"
class="td11"> <span
class="cmr-9">2.0</span></td>
</tr><tr
style="vertical-align:baseline;" id="TBL-18-22-"><td style="white-space:nowrap; text-align:right;" id="TBL-18-22-1"
class="td11"><span
class="cmr-9">20</span></td><td style="white-space:nowrap; text-align:right;" id="TBL-18-22-2"
class="td11"> <span
class="cmr-9">20</span></td><td style="white-space:nowrap; text-align:right;" id="TBL-18-22-3"
class="td10"> <span
class="cmr-9">1.0</span></td><td style="white-space:nowrap; text-align:right;" id="TBL-18-22-4"
class="td01"><span
class="cmr-9">20</span></td><td style="white-space:nowrap; text-align:right;" id="TBL-18-22-5"
class="td11"> <span
class="cmr-9">52</span></td><td style="white-space:nowrap; text-align:right;" id="TBL-18-22-6"
class="td11"> <span
class="cmr-9">2.0</span></td>
</tr><tr
style="vertical-align:baseline;" id="TBL-18-23-"><td style="white-space:nowrap; text-align:right;" id="TBL-18-23-1"
class="td11"><span
class="cmr-9">21</span></td><td style="white-space:nowrap; text-align:right;" id="TBL-18-23-2"
class="td11"> <span
class="cmr-9">21</span></td><td style="white-space:nowrap; text-align:right;" id="TBL-18-23-3"
class="td10"> <span
class="cmr-9">1.0</span></td><td style="white-space:nowrap; text-align:right;" id="TBL-18-23-4"
class="td01"><span
class="cmr-9">21</span></td><td style="white-space:nowrap; text-align:right;" id="TBL-18-23-5"
class="td11"> <span
class="cmr-9">53</span></td><td style="white-space:nowrap; text-align:right;" id="TBL-18-23-6"
class="td11"> <span
class="cmr-9">2.0</span></td>
</tr><tr
style="vertical-align:baseline;" id="TBL-18-24-"><td style="white-space:nowrap; text-align:right;" id="TBL-18-24-1"
class="td11"><span
class="cmr-9">22</span></td><td style="white-space:nowrap; text-align:right;" id="TBL-18-24-2"
class="td11"> <span
class="cmr-9">22</span></td><td style="white-space:nowrap; text-align:right;" id="TBL-18-24-3"
class="td10"> <span
class="cmr-9">1.0</span></td><td style="white-space:nowrap; text-align:right;" id="TBL-18-24-4"
class="td01"><span
class="cmr-9">22</span></td><td style="white-space:nowrap; text-align:right;" id="TBL-18-24-5"
class="td11"> <span
class="cmr-9">54</span></td><td style="white-space:nowrap; text-align:right;" id="TBL-18-24-6"
class="td11"> <span
class="cmr-9">2.0</span></td>
</tr><tr
style="vertical-align:baseline;" id="TBL-18-25-"><td style="white-space:nowrap; text-align:right;" id="TBL-18-25-1"
class="td11"><span
class="cmr-9">23</span></td><td style="white-space:nowrap; text-align:right;" id="TBL-18-25-2"
class="td11"> <span
class="cmr-9">23</span></td><td style="white-space:nowrap; text-align:right;" id="TBL-18-25-3"
class="td10"> <span
class="cmr-9">1.0</span></td><td style="white-space:nowrap; text-align:right;" id="TBL-18-25-4"
class="td01"><span
class="cmr-9">23</span></td><td style="white-space:nowrap; text-align:right;" id="TBL-18-25-5"
class="td11"> <span
class="cmr-9">55</span></td><td style="white-space:nowrap; text-align:right;" id="TBL-18-25-6"
class="td11"> <span
class="cmr-9">2.0</span></td>
</tr><tr
style="vertical-align:baseline;" id="TBL-18-26-"><td style="white-space:nowrap; text-align:right;" id="TBL-18-26-1"
class="td11"><span
class="cmr-9">24</span></td><td style="white-space:nowrap; text-align:right;" id="TBL-18-26-2"
class="td11"> <span
class="cmr-9">24</span></td><td style="white-space:nowrap; text-align:right;" id="TBL-18-26-3"
class="td10"> <span
class="cmr-9">1.0</span></td><td style="white-space:nowrap; text-align:right;" id="TBL-18-26-4"
class="td01"><span
class="cmr-9">24</span></td><td style="white-space:nowrap; text-align:right;" id="TBL-18-26-5"
class="td11"> <span
class="cmr-9">56</span></td><td style="white-space:nowrap; text-align:right;" id="TBL-18-26-6"
class="td11"> <span
class="cmr-9">2.0</span></td>
</tr><tr
style="vertical-align:baseline;" id="TBL-18-27-"><td style="white-space:nowrap; text-align:right;" id="TBL-18-27-1"
class="td11"><span
class="cmr-9">25</span></td><td style="white-space:nowrap; text-align:right;" id="TBL-18-27-2"
class="td11"> <span
class="cmr-9">25</span></td><td style="white-space:nowrap; text-align:right;" id="TBL-18-27-3"
class="td10"> <span
class="cmr-9">1.0</span></td><td style="white-space:nowrap; text-align:right;" id="TBL-18-27-4"
class="td01"><span
class="cmr-9">25</span></td><td style="white-space:nowrap; text-align:right;" id="TBL-18-27-5"
class="td11"> <span
class="cmr-9">57</span></td><td style="white-space:nowrap; text-align:right;" id="TBL-18-27-6"
class="td11"> <span
class="cmr-9">2.0</span></td>
</tr><tr
style="vertical-align:baseline;" id="TBL-18-28-"><td style="white-space:nowrap; text-align:right;" id="TBL-18-28-1"
class="td11"><span
class="cmr-9">26</span></td><td style="white-space:nowrap; text-align:right;" id="TBL-18-28-2"
class="td11"> <span
class="cmr-9">26</span></td><td style="white-space:nowrap; text-align:right;" id="TBL-18-28-3"
class="td10"> <span
class="cmr-9">1.0</span></td><td style="white-space:nowrap; text-align:right;" id="TBL-18-28-4"
class="td01"><span
class="cmr-9">26</span></td><td style="white-space:nowrap; text-align:right;" id="TBL-18-28-5"
class="td11"> <span
class="cmr-9">58</span></td><td style="white-space:nowrap; text-align:right;" id="TBL-18-28-6"
class="td11"> <span
class="cmr-9">2.0</span></td>
</tr><tr
style="vertical-align:baseline;" id="TBL-18-29-"><td style="white-space:nowrap; text-align:right;" id="TBL-18-29-1"
class="td11"><span
class="cmr-9">27</span></td><td style="white-space:nowrap; text-align:right;" id="TBL-18-29-2"
class="td11"> <span
class="cmr-9">27</span></td><td style="white-space:nowrap; text-align:right;" id="TBL-18-29-3"
class="td10"> <span
class="cmr-9">1.0</span></td><td style="white-space:nowrap; text-align:right;" id="TBL-18-29-4"
class="td01"><span
class="cmr-9">27</span></td><td style="white-space:nowrap; text-align:right;" id="TBL-18-29-5"
class="td11"> <span
class="cmr-9">59</span></td><td style="white-space:nowrap; text-align:right;" id="TBL-18-29-6"
class="td11"> <span
class="cmr-9">2.0</span></td>
</tr><tr
style="vertical-align:baseline;" id="TBL-18-30-"><td style="white-space:nowrap; text-align:right;" id="TBL-18-30-1"
class="td11"><span
class="cmr-9">28</span></td><td style="white-space:nowrap; text-align:right;" id="TBL-18-30-2"
class="td11"> <span
class="cmr-9">28</span></td><td style="white-space:nowrap; text-align:right;" id="TBL-18-30-3"
class="td10"> <span
class="cmr-9">1.0</span></td><td style="white-space:nowrap; text-align:right;" id="TBL-18-30-4"
class="td01"><span
class="cmr-9">28</span></td><td style="white-space:nowrap; text-align:right;" id="TBL-18-30-5"
class="td11"> <span
class="cmr-9">60</span></td><td style="white-space:nowrap; text-align:right;" id="TBL-18-30-6"
class="td11"> <span
class="cmr-9">2.0</span></td>
</tr><tr
style="vertical-align:baseline;" id="TBL-18-31-"><td style="white-space:nowrap; text-align:right;" id="TBL-18-31-1"
class="td11"><span
class="cmr-9">29</span></td><td style="white-space:nowrap; text-align:right;" id="TBL-18-31-2"
class="td11"> <span
class="cmr-9">29</span></td><td style="white-space:nowrap; text-align:right;" id="TBL-18-31-3"
class="td10"> <span
class="cmr-9">1.0</span></td><td style="white-space:nowrap; text-align:right;" id="TBL-18-31-4"
class="td01"><span
class="cmr-9">29</span></td><td style="white-space:nowrap; text-align:right;" id="TBL-18-31-5"
class="td11"> <span
class="cmr-9">61</span></td><td style="white-space:nowrap; text-align:right;" id="TBL-18-31-6"
class="td11"> <span
class="cmr-9">2.0</span></td>
</tr><tr
style="vertical-align:baseline;" id="TBL-18-32-"><td style="white-space:nowrap; text-align:right;" id="TBL-18-32-1"
class="td11"><span
class="cmr-9">30</span></td><td style="white-space:nowrap; text-align:right;" id="TBL-18-32-2"
class="td11"> <span
class="cmr-9">30</span></td><td style="white-space:nowrap; text-align:right;" id="TBL-18-32-3"
class="td10"> <span
class="cmr-9">1.0</span></td><td style="white-space:nowrap; text-align:right;" id="TBL-18-32-4"
class="td01"><span
class="cmr-9">30</span></td><td style="white-space:nowrap; text-align:right;" id="TBL-18-32-5"
class="td11"> <span
class="cmr-9">62</span></td><td style="white-space:nowrap; text-align:right;" id="TBL-18-32-6"
class="td11"> <span
class="cmr-9">2.0</span></td>
</tr><tr
style="vertical-align:baseline;" id="TBL-18-33-"><td style="white-space:nowrap; text-align:right;" id="TBL-18-33-1"
class="td11"><span
class="cmr-9">31</span></td><td style="white-space:nowrap; text-align:right;" id="TBL-18-33-2"
class="td11"> <span
class="cmr-9">31</span></td><td style="white-space:nowrap; text-align:right;" id="TBL-18-33-3"
class="td10"> <span
class="cmr-9">1.0</span></td><td style="white-space:nowrap; text-align:right;" id="TBL-18-33-4"
class="td01"><span
class="cmr-9">31</span></td><td style="white-space:nowrap; text-align:right;" id="TBL-18-33-5"
class="td11"> <span
class="cmr-9">63</span></td><td style="white-space:nowrap; text-align:right;" id="TBL-18-33-6"
class="td11"> <span
class="cmr-9">2.0</span></td>
</tr><tr
style="vertical-align:baseline;" id="TBL-18-34-"><td style="white-space:nowrap; text-align:right;" id="TBL-18-34-1"
class="td11"><span
class="cmr-9">32</span></td><td style="white-space:nowrap; text-align:right;" id="TBL-18-34-2"
class="td11"> <span
class="cmr-9">32</span></td><td style="white-space:nowrap; text-align:right;" id="TBL-18-34-3"
class="td10"> <span
class="cmr-9">1.0</span></td><td style="white-space:nowrap; text-align:right;" id="TBL-18-34-4"
class="td01"><span
class="cmr-9">32</span></td><td style="white-space:nowrap; text-align:right;" id="TBL-18-34-5"
class="td11"> <span
class="cmr-9">64</span></td><td style="white-space:nowrap; text-align:right;" id="TBL-18-34-6"
class="td11"> <span
class="cmr-9">2.0</span></td>
</tr><tr
style="vertical-align:baseline;" id="TBL-18-35-"><td style="white-space:nowrap; text-align:right;" id="TBL-18-35-1"
class="td11"><span
class="cmr-9">33</span></td><td style="white-space:nowrap; text-align:right;" id="TBL-18-35-2"
class="td11"> <span
class="cmr-9">33</span></td><td style="white-space:nowrap; text-align:right;" id="TBL-18-35-3"
class="td10"> <span
class="cmr-9">2.0</span></td><td style="white-space:nowrap; text-align:right;" id="TBL-18-35-4"
class="td01"><span
class="cmr-9">33</span></td><td style="white-space:nowrap; text-align:right;" id="TBL-18-35-5"
class="td11"> <span
class="cmr-9">25</span></td><td style="white-space:nowrap; text-align:right;" id="TBL-18-35-6"
class="td11"> <span
class="cmr-9">1.0</span></td>
</tr><tr
style="vertical-align:baseline;" id="TBL-18-36-"><td style="white-space:nowrap; text-align:right;" id="TBL-18-36-1"
class="td11"><span
class="cmr-9">34</span></td><td style="white-space:nowrap; text-align:right;" id="TBL-18-36-2"
class="td11"> <span
class="cmr-9">34</span></td><td style="white-space:nowrap; text-align:right;" id="TBL-18-36-3"
class="td10"> <span
class="cmr-9">2.0</span></td><td style="white-space:nowrap; text-align:right;" id="TBL-18-36-4"
class="td01"><span
class="cmr-9">34</span></td><td style="white-space:nowrap; text-align:right;" id="TBL-18-36-5"
class="td11"> <span
class="cmr-9">26</span></td><td style="white-space:nowrap; text-align:right;" id="TBL-18-36-6"
class="td11"> <span
class="cmr-9">1.0</span></td>
</tr><tr
style="vertical-align:baseline;" id="TBL-18-37-"><td style="white-space:nowrap; text-align:right;" id="TBL-18-37-1"
class="td11"><span
class="cmr-9">35</span></td><td style="white-space:nowrap; text-align:right;" id="TBL-18-37-2"
class="td11"> <span
class="cmr-9">35</span></td><td style="white-space:nowrap; text-align:right;" id="TBL-18-37-3"
class="td10"> <span
class="cmr-9">2.0</span></td><td style="white-space:nowrap; text-align:right;" id="TBL-18-37-4"
class="td01"><span
class="cmr-9">35</span></td><td style="white-space:nowrap; text-align:right;" id="TBL-18-37-5"
class="td11"> <span
class="cmr-9">27</span></td><td style="white-space:nowrap; text-align:right;" id="TBL-18-37-6"
class="td11"> <span
class="cmr-9">1.0</span></td>
</tr><tr
style="vertical-align:baseline;" id="TBL-18-38-"><td style="white-space:nowrap; text-align:right;" id="TBL-18-38-1"
class="td11"><span
class="cmr-9">36</span></td><td style="white-space:nowrap; text-align:right;" id="TBL-18-38-2"
class="td11"> <span
class="cmr-9">36</span></td><td style="white-space:nowrap; text-align:right;" id="TBL-18-38-3"
class="td10"> <span
class="cmr-9">2.0</span></td><td style="white-space:nowrap; text-align:right;" id="TBL-18-38-4"
class="td01"><span
class="cmr-9">36</span></td><td style="white-space:nowrap; text-align:right;" id="TBL-18-38-5"
class="td11"> <span
class="cmr-9">28</span></td><td style="white-space:nowrap; text-align:right;" id="TBL-18-38-6"
class="td11"> <span
class="cmr-9">1.0</span></td>
</tr><tr
style="vertical-align:baseline;" id="TBL-18-39-"><td style="white-space:nowrap; text-align:right;" id="TBL-18-39-1"
class="td11"><span
class="cmr-9">37</span></td><td style="white-space:nowrap; text-align:right;" id="TBL-18-39-2"
class="td11"> <span
class="cmr-9">37</span></td><td style="white-space:nowrap; text-align:right;" id="TBL-18-39-3"
class="td10"> <span
class="cmr-9">2.0</span></td><td style="white-space:nowrap; text-align:right;" id="TBL-18-39-4"
class="td01"><span
class="cmr-9">37</span></td><td style="white-space:nowrap; text-align:right;" id="TBL-18-39-5"
class="td11"> <span
class="cmr-9">29</span></td><td style="white-space:nowrap; text-align:right;" id="TBL-18-39-6"
class="td11"> <span
class="cmr-9">1.0</span></td>
</tr><tr
style="vertical-align:baseline;" id="TBL-18-40-"><td style="white-space:nowrap; text-align:right;" id="TBL-18-40-1"
class="td11"><span
class="cmr-9">38</span></td><td style="white-space:nowrap; text-align:right;" id="TBL-18-40-2"
class="td11"> <span
class="cmr-9">38</span></td><td style="white-space:nowrap; text-align:right;" id="TBL-18-40-3"
class="td10"> <span
class="cmr-9">2.0</span></td><td style="white-space:nowrap; text-align:right;" id="TBL-18-40-4"
class="td01"><span
class="cmr-9">38</span></td><td style="white-space:nowrap; text-align:right;" id="TBL-18-40-5"
class="td11"> <span
class="cmr-9">30</span></td><td style="white-space:nowrap; text-align:right;" id="TBL-18-40-6"
class="td11"> <span
class="cmr-9">1.0</span></td>
</tr><tr
style="vertical-align:baseline;" id="TBL-18-41-"><td style="white-space:nowrap; text-align:right;" id="TBL-18-41-1"
class="td11"><span
class="cmr-9">39</span></td><td style="white-space:nowrap; text-align:right;" id="TBL-18-41-2"
class="td11"> <span
class="cmr-9">39</span></td><td style="white-space:nowrap; text-align:right;" id="TBL-18-41-3"
class="td10"> <span
class="cmr-9">2.0</span></td><td style="white-space:nowrap; text-align:right;" id="TBL-18-41-4"
class="td01"><span
class="cmr-9">39</span></td><td style="white-space:nowrap; text-align:right;" id="TBL-18-41-5"
class="td11"> <span
class="cmr-9">31</span></td><td style="white-space:nowrap; text-align:right;" id="TBL-18-41-6"
class="td11"> <span
class="cmr-9">1.0</span></td>
</tr><tr
style="vertical-align:baseline;" id="TBL-18-42-"><td style="white-space:nowrap; text-align:right;" id="TBL-18-42-1"
class="td11"><span
class="cmr-9">40</span></td><td style="white-space:nowrap; text-align:right;" id="TBL-18-42-2"
class="td11"> <span
class="cmr-9">40</span></td><td style="white-space:nowrap; text-align:right;" id="TBL-18-42-3"
class="td10"> <span
class="cmr-9">2.0</span></td><td style="white-space:nowrap; text-align:right;" id="TBL-18-42-4"
class="td01"><span
class="cmr-9">40</span></td><td style="white-space:nowrap; text-align:right;" id="TBL-18-42-5"
class="td11"> <span
class="cmr-9">32</span></td><td style="white-space:nowrap; text-align:right;" id="TBL-18-42-6"
class="td11"> <span
class="cmr-9">1.0</span></td>
</tr><tr
style="vertical-align:baseline;" id="TBL-18-43-"><td style="white-space:nowrap; text-align:right;" id="TBL-18-43-1"
class="td11"> </td></tr></table></div></div>
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