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    <title>topic Re: PARDISO reproducibility in Intel® oneAPI Math Kernel Library</title>
    <link>https://community.intel.com/t5/Intel-oneAPI-Math-Kernel-Library/PARDISO-reproducibility/m-p/1365166#M32847</link>
    <description>&lt;P class="sub_section_element_selectors"&gt;&amp;nbsp;&lt;/P&gt;
&lt;P class="sub_section_element_selectors"&gt;&amp;gt;&amp;gt; Could you elaborate a bit regarding why iparam[33] Is required to change in your case.&lt;/P&gt;
&lt;P class="sub_section_element_selectors"&gt;&amp;nbsp;&lt;/P&gt;
&lt;P class="sub_section_element_selectors"&gt;I wanted to figure out which part of the solution process causes the different results I am getting. I was hoping to turn on and off&amp;nbsp;&lt;/P&gt;
&lt;P class="sub_section_element_selectors"&gt;this parameter for the various parts of the solving.&amp;nbsp;&lt;/P&gt;
&lt;P&gt;&amp;nbsp;&lt;/P&gt;
&lt;P&gt;Thanks,&lt;/P&gt;
&lt;P&gt;Ned&lt;/P&gt;</description>
    <pubDate>Wed, 02 Mar 2022 15:00:54 GMT</pubDate>
    <dc:creator>nedialk</dc:creator>
    <dc:date>2022-03-02T15:00:54Z</dc:date>
    <item>
      <title>PARDISO reproducibility</title>
      <link>https://community.intel.com/t5/Intel-oneAPI-Math-Kernel-Library/PARDISO-reproducibility/m-p/1363974#M32799</link>
      <description>&lt;P&gt;&amp;nbsp;&lt;/P&gt;
&lt;P&gt;For numerical reproducibility we need to set iparm[33] &amp;gt; 0 before the symbolic factorization,&amp;nbsp;and this iparm cannot be changed after.&amp;nbsp;&lt;/P&gt;
&lt;P&gt;Is there a way to request reproducibility for a particular phase of the solving. E.g. how to request that only the numerical factorization is reproducible? That is I want to do e.g.&lt;/P&gt;
&lt;P&gt;iparm[33] = 4;&lt;/P&gt;
&lt;P&gt;numerical factorization&amp;nbsp;&lt;/P&gt;
&lt;P&gt;iparm[33] = 0&lt;/P&gt;
&lt;P&gt;&amp;nbsp;&lt;/P&gt;
&lt;P&gt;Thank you.&amp;nbsp;&lt;/P&gt;
&lt;P&gt;&amp;nbsp;&lt;/P&gt;
&lt;P&gt;&amp;nbsp;&lt;/P&gt;</description>
      <pubDate>Fri, 25 Feb 2022 23:46:16 GMT</pubDate>
      <guid>https://community.intel.com/t5/Intel-oneAPI-Math-Kernel-Library/PARDISO-reproducibility/m-p/1363974#M32799</guid>
      <dc:creator>nedialk</dc:creator>
      <dc:date>2022-02-25T23:46:16Z</dc:date>
    </item>
    <item>
      <title>Re:PARDISO reproducibility</title>
      <link>https://community.intel.com/t5/Intel-oneAPI-Math-Kernel-Library/PARDISO-reproducibility/m-p/1364373#M32807</link>
      <description>&lt;P&gt;Hi,&lt;/P&gt;&lt;P&gt;&amp;nbsp;&lt;/P&gt;&lt;P&gt;&amp;gt;&amp;gt;For numerical reproducibility we need to set iparm[33] &amp;gt; 0 before the symbolic factorization,&amp;nbsp;and this iparm cannot be changed after.&amp;nbsp;&lt;/P&gt;&lt;P&gt;Intel® oneAPI Math Kernel Library&amp;nbsp;PARDISO reads the value of iparm[33]&amp;nbsp;during the analysis phase (phase 1), so it cannot be changed later.&lt;/P&gt;&lt;P&gt;&amp;nbsp;&lt;/P&gt;&lt;P&gt;Optimal number of OpenMP threads for conditional numerical reproducibility (CNR) mode.&lt;/P&gt;&lt;P&gt;&amp;nbsp;&lt;/P&gt;&lt;TABLE class="ql-table-blob" border="1" style="width: 815.2pt; background: rgb(254, 254, 254); border: none;" width="1087"&gt;
 &lt;TBODY&gt;&lt;TR&gt;
  &lt;TD valign="top" style="border:solid #EEEEEE 1.0pt;border-bottom:solid #E2E2E2 1.0pt;
  mso-border-alt:solid #EEEEEE .75pt;mso-border-bottom-alt:solid #E2E2E2 .75pt;
  background:transparent;padding:12.0pt 12.0pt 12.0pt 12.0pt"&gt;
  &lt;P class="MsoNormal" style="margin-top:0in;margin-right:11.25pt;margin-bottom:
  0in;margin-left:11.25pt;line-height:normal"&gt;&lt;SPAN style="mso-fareast-font-family:
  &amp;quot;Times New Roman&amp;quot;;mso-bidi-font-family:Calibri;mso-bidi-theme-font:minor-latin;
  color:#262626"&gt;0*&lt;/SPAN&gt;&lt;/P&gt;&lt;P&gt;&lt;/P&gt;&lt;P&gt;&lt;/P&gt;
  &lt;/TD&gt;
  &lt;TD valign="top" style="border-top:solid #EEEEEE 1.0pt;border-left:none;
  border-bottom:solid #E2E2E2 1.0pt;border-right:solid #EEEEEE 1.0pt;
  mso-border-left-alt:solid #EEEEEE .75pt;mso-border-alt:solid #EEEEEE .75pt;
  mso-border-bottom-alt:solid #E2E2E2 .75pt;background:transparent;padding:
  12.0pt 12.0pt 12.0pt 12.0pt"&gt;
  &lt;P class="MsoNormal" style="margin-top:0in;margin-right:11.25pt;margin-bottom:
  0in;margin-left:11.25pt;line-height:normal"&gt;&lt;SPAN style="mso-fareast-font-family:
  &amp;quot;Times New Roman&amp;quot;;mso-bidi-font-family:Calibri;mso-bidi-theme-font:minor-latin;
  color:#262626"&gt;CNR mode for&amp;nbsp;Intel® oneAPI Math Kernel Library&amp;nbsp;PARDISO
  is enabled only if it is enabled for&amp;nbsp;&lt;/SPAN&gt;&lt;/P&gt;&lt;P&gt;&lt;/P&gt;&lt;P&gt;&lt;/P&gt;
  &lt;P class="MsoNormal" style="margin-top:0in;margin-right:11.25pt;margin-bottom:
  0in;margin-left:11.25pt;line-height:normal"&gt;&lt;SPAN style="mso-fareast-font-family:
  &amp;quot;Times New Roman&amp;quot;;mso-bidi-font-family:Calibri;mso-bidi-theme-font:minor-latin;
  color:#262626"&gt;Intel® oneAPI Math Kernel Library&amp;nbsp;using the functionality
  described in&lt;A href="https://www.intel.com/content/www/us/en/develop/documentation/onemkl-developer-reference-c/top/support-functions/conditional-numerical-reproducibility-control.html" target="_self"&gt;&lt;SPAN style="color:#0068B5"&gt;Support Functions for CNR&lt;/SPAN&gt;&lt;/A&gt;and
  the in-core version is used.&amp;nbsp;&lt;/SPAN&gt;&lt;/P&gt;&lt;P&gt;&lt;/P&gt;&lt;P&gt;&lt;/P&gt;
  &lt;P class="MsoNormal" style="margin-top:0in;margin-right:11.25pt;margin-bottom:
  0in;margin-left:11.25pt;line-height:normal"&gt;&lt;SPAN style="mso-fareast-font-family:
  &amp;quot;Times New Roman&amp;quot;;mso-bidi-font-family:Calibri;mso-bidi-theme-font:minor-latin;
  color:#262626"&gt;Intel® oneAPI Math Kernel Library &amp;nbsp;PARDISO determines the
  optimal number of OpenMP threads automatically, and produces numerically
  reproducible results regardless of the number of threads.&lt;/SPAN&gt;&lt;/P&gt;&lt;P&gt;&lt;/P&gt;&lt;P&gt;&lt;/P&gt;
  &lt;/TD&gt;
 &lt;/TR&gt;
 &lt;TR style="mso-yfti-irow:1;mso-yfti-lastrow:yes;height:.85pt"&gt;
  &lt;TD valign="top" style="border-top:none;border-left:solid #EEEEEE 1.0pt;
  border-bottom:solid #E2E2E2 1.0pt;border-right:solid #EEEEEE 1.0pt;
  mso-border-top-alt:solid #EEEEEE .75pt;mso-border-alt:solid #EEEEEE .75pt;
  mso-border-bottom-alt:solid #E2E2E2 .75pt;background:white;padding:12.0pt 12.0pt 12.0pt 12.0pt;
  height:.85pt"&gt;
  &lt;P class="MsoNormal" style="margin-top:0in;margin-right:11.25pt;margin-bottom:
  0in;margin-left:11.25pt;line-height:normal"&gt;&lt;SPAN style="mso-fareast-font-family:
  &amp;quot;Times New Roman&amp;quot;;mso-bidi-font-family:Calibri;mso-bidi-theme-font:minor-latin;
  color:#262626"&gt;&amp;gt;0&lt;/SPAN&gt;&lt;/P&gt;&lt;P&gt;&lt;/P&gt;&lt;P&gt;&lt;/P&gt;
  &lt;/TD&gt;
  &lt;TD valign="top" style="border-top:none;border-left:none;border-bottom:solid #E2E2E2 1.0pt;
  border-right:solid #EEEEEE 1.0pt;mso-border-top-alt:solid #EEEEEE .75pt;
  mso-border-left-alt:solid #EEEEEE .75pt;mso-border-alt:solid #EEEEEE .75pt;
  mso-border-bottom-alt:solid #E2E2E2 .75pt;background:white;padding:12.0pt 12.0pt 12.0pt 12.0pt;
  height:.85pt"&gt;
  &lt;P class="MsoNormal" style="margin-top:0in;margin-right:11.25pt;margin-bottom:
  0in;margin-left:11.25pt;line-height:normal"&gt;&lt;SPAN style="mso-fareast-font-family:
  &amp;quot;Times New Roman&amp;quot;;mso-bidi-font-family:Calibri;mso-bidi-theme-font:minor-latin;
  color:#262626"&gt;CNR mode is enabled for&amp;nbsp;Intel® oneAPI Math Kernel Library&lt;/SPAN&gt;&lt;/P&gt;&lt;P&gt;&lt;/P&gt;&lt;P&gt;&lt;/P&gt;
  &lt;P class="MsoNormal" style="margin-top:0in;margin-right:11.25pt;margin-bottom:
  0in;margin-left:11.25pt;line-height:normal"&gt;&lt;SPAN style="mso-fareast-font-family:
  &amp;quot;Times New Roman&amp;quot;;mso-bidi-font-family:Calibri;mso-bidi-theme-font:minor-latin;
  color:#262626"&gt;PARDISO if in-core version is used and the optimal number of
  OpenMP threads for&amp;nbsp;&lt;/SPAN&gt;&lt;/P&gt;&lt;P&gt;&lt;/P&gt;&lt;P&gt;&lt;/P&gt;
  &lt;P class="MsoNormal" style="margin-top:0in;margin-right:11.25pt;margin-bottom:
  0in;margin-left:11.25pt;line-height:normal"&gt;&lt;SPAN style="mso-fareast-font-family:
  &amp;quot;Times New Roman&amp;quot;;mso-bidi-font-family:Calibri;mso-bidi-theme-font:minor-latin;
  color:#262626"&gt;Intel® oneAPI Math Kernel Library &amp;nbsp;PARDISO to rely on is
  defined by the value of&lt;/SPAN&gt;&lt;/P&gt;&lt;P&gt;&lt;/P&gt;&lt;P&gt;&lt;/P&gt;
  &lt;P class="MsoNormal" style="margin-top:0in;margin-right:11.25pt;margin-bottom:
  0in;margin-left:11.25pt;line-height:normal"&gt;&lt;SPAN style="mso-fareast-font-family:
  &amp;quot;Times New Roman&amp;quot;;mso-bidi-font-family:Calibri;mso-bidi-theme-font:minor-latin;
  color:#262626"&gt;Iparm [33]. You can use&amp;nbsp;iparm[33]to enable CNR mode
  independent from other&amp;nbsp;&lt;/SPAN&gt;&lt;/P&gt;&lt;P&gt;&lt;/P&gt;&lt;P&gt;&lt;/P&gt;
  &lt;P class="MsoNormal" style="margin-top:0in;margin-right:11.25pt;margin-bottom:
  0in;margin-left:11.25pt;line-height:normal"&gt;&lt;SPAN style="mso-fareast-font-family:
  &amp;quot;Times New Roman&amp;quot;;mso-bidi-font-family:Calibri;mso-bidi-theme-font:minor-latin;
  color:#262626"&gt;Intel® oneAPI Math Kernel Library domains. To get the best
  performance, set&lt;/SPAN&gt;&lt;/P&gt;&lt;P&gt;&lt;/P&gt;&lt;P&gt;&lt;/P&gt;
  &lt;P class="MsoNormal" style="margin-top:0in;margin-right:11.25pt;margin-bottom:
  0in;margin-left:11.25pt;line-height:normal"&gt;&lt;SPAN style="mso-fareast-font-family:
  &amp;quot;Times New Roman&amp;quot;;mso-bidi-font-family:Calibri;mso-bidi-theme-font:minor-latin;
  color:#262626"&gt;iparm[33] to the actual number of hardware threads dedicated
  for&amp;nbsp;&lt;/SPAN&gt;&lt;/P&gt;&lt;P&gt;&lt;/P&gt;&lt;P&gt;&lt;/P&gt;
  &lt;P class="MsoNormal" style="margin-top:0in;margin-right:11.25pt;margin-bottom:
  0in;margin-left:11.25pt;line-height:normal"&gt;&lt;SPAN style="mso-fareast-font-family:
  &amp;quot;Times New Roman&amp;quot;;mso-bidi-font-family:Calibri;mso-bidi-theme-font:minor-latin;
  color:#262626"&gt;Intel® oneAPI Math Kernel Library&amp;nbsp;PARDISO. Setting iparm[33]&amp;nbsp;to
  fewer OpenMP threads than the maximum number of them in use reduces the
  scalability of the problem being solved. Setting&amp;nbsp;iparm[33]&lt;/SPAN&gt;&lt;/P&gt;&lt;P&gt;&lt;/P&gt;&lt;P&gt;&lt;/P&gt;
  &lt;P class="MsoNormal" style="margin-top:0in;margin-right:11.25pt;margin-bottom:
  0in;margin-left:11.25pt;line-height:normal"&gt;&lt;SPAN style="mso-fareast-font-family:
  &amp;quot;Times New Roman&amp;quot;;mso-bidi-font-family:Calibri;mso-bidi-theme-font:minor-latin;
  color:#262626"&gt;to more threads than are available can reduce the performance
  of&amp;nbsp;Intel® oneAPI Math Kernel Library&amp;nbsp;PARDISO.&lt;/SPAN&gt;&lt;/P&gt;&lt;P&gt;&lt;/P&gt;&lt;P&gt;&lt;/P&gt;
  &lt;/TD&gt;
 &lt;/TR&gt;
&lt;/TBODY&gt;&lt;/TABLE&gt;&lt;P&gt;&amp;nbsp;&lt;/P&gt;&lt;P&gt;Could you elaborate a bit regarding why iparam[33] Is required to change in your case.&lt;/P&gt;&lt;P&gt;&lt;BR /&gt;&lt;/P&gt;&lt;P&gt;Best Regards,&lt;/P&gt;&lt;P&gt;Shanmukh.SS&lt;/P&gt;&lt;BR /&gt;</description>
      <pubDate>Mon, 28 Feb 2022 11:59:27 GMT</pubDate>
      <guid>https://community.intel.com/t5/Intel-oneAPI-Math-Kernel-Library/PARDISO-reproducibility/m-p/1364373#M32807</guid>
      <dc:creator>ShanmukhS_Intel</dc:creator>
      <dc:date>2022-02-28T11:59:27Z</dc:date>
    </item>
    <item>
      <title>Re: PARDISO reproducibility</title>
      <link>https://community.intel.com/t5/Intel-oneAPI-Math-Kernel-Library/PARDISO-reproducibility/m-p/1365166#M32847</link>
      <description>&lt;P class="sub_section_element_selectors"&gt;&amp;nbsp;&lt;/P&gt;
&lt;P class="sub_section_element_selectors"&gt;&amp;gt;&amp;gt; Could you elaborate a bit regarding why iparam[33] Is required to change in your case.&lt;/P&gt;
&lt;P class="sub_section_element_selectors"&gt;&amp;nbsp;&lt;/P&gt;
&lt;P class="sub_section_element_selectors"&gt;I wanted to figure out which part of the solution process causes the different results I am getting. I was hoping to turn on and off&amp;nbsp;&lt;/P&gt;
&lt;P class="sub_section_element_selectors"&gt;this parameter for the various parts of the solving.&amp;nbsp;&lt;/P&gt;
&lt;P&gt;&amp;nbsp;&lt;/P&gt;
&lt;P&gt;Thanks,&lt;/P&gt;
&lt;P&gt;Ned&lt;/P&gt;</description>
      <pubDate>Wed, 02 Mar 2022 15:00:54 GMT</pubDate>
      <guid>https://community.intel.com/t5/Intel-oneAPI-Math-Kernel-Library/PARDISO-reproducibility/m-p/1365166#M32847</guid>
      <dc:creator>nedialk</dc:creator>
      <dc:date>2022-03-02T15:00:54Z</dc:date>
    </item>
    <item>
      <title>Re: PARDISO reproducibility</title>
      <link>https://community.intel.com/t5/Intel-oneAPI-Math-Kernel-Library/PARDISO-reproducibility/m-p/1365810#M32863</link>
      <description>&lt;P&gt;&lt;SPAN&gt;Hi,&lt;/SPAN&gt;&lt;/P&gt;
&lt;P&gt;&lt;SPAN&gt;&amp;nbsp;&lt;/SPAN&gt;&lt;/P&gt;
&lt;P&gt;&lt;SPAN&gt;Kindly refer the below link for the usage of iparm[33] and various other iparm parameters.&lt;/SPAN&gt;&lt;/P&gt;
&lt;P&gt;&lt;SPAN&gt;&amp;nbsp;&lt;/SPAN&gt;&lt;/P&gt;
&lt;P&gt;&lt;A style="font-size: 11pt;" href="https://www.intel.com/content/www/us/en/develop/documentation/onemkl-developer-reference-c/top/sparse-solver-routines/onemkl-pardiso-parallel-direct-sparse-solver-iface/pardiso-iparm-parameter.html" target="_blank" rel="noopener noreferrer"&gt;https://www.intel.com/content/www/us/en/develop/documentation/onemkl-developer-reference-c/top/sparse-solver-routines/onemkl-pardiso-parallel-direct-sparse-solver-iface/pardiso-iparm-parameter.html&lt;/A&gt;&lt;/P&gt;
&lt;P&gt;&lt;SPAN&gt;&amp;nbsp;&lt;/SPAN&gt;&lt;/P&gt;
&lt;P&gt;&lt;STRONG style="font-size: 11pt;"&gt;You cannot change the iparm[33] parameter later&amp;nbsp;&lt;/STRONG&gt;&lt;SPAN&gt;, because Intel® oneAPI Math Kernel Library PARDISO reads the value of iparm[33] during the analysis phase (phase 1)&lt;/SPAN&gt;&lt;/P&gt;
&lt;P&gt;&lt;SPAN&gt;&amp;nbsp;&lt;/SPAN&gt;&lt;/P&gt;
&lt;P&gt;&lt;SPAN&gt;Intel® oneAPI Math Kernel Library PARDISO uses C random number generator facilities during the analysis phase (phase 1)&lt;/SPAN&gt;&lt;/P&gt;
&lt;P&gt;&lt;SPAN&gt;You must take these precautions to get numerically reproducible results:&lt;/SPAN&gt;&lt;/P&gt;
&lt;P&gt;&lt;SPAN&gt;Do not alter the states of the random number generators.&lt;/SPAN&gt;&lt;/P&gt;
&lt;P&gt;&lt;SPAN&gt;Do not run multiple instances of Intel® oneAPI Math Kernel Library PARDISO in parallel in the analysis phase (phase 1).&lt;/SPAN&gt;&lt;/P&gt;
&lt;P&gt;&amp;nbsp;&lt;/P&gt;
&lt;P&gt;&lt;SPAN&gt;&amp;gt;&amp;gt;&lt;EM&gt;&amp;nbsp;&lt;/EM&gt;&lt;/SPAN&gt;&lt;EM&gt;I wanted to figure out which part of the solution process causes the different results I am getting.&lt;/EM&gt;&lt;/P&gt;
&lt;P&gt;In addition, Could you please share us a sample reproducer so that we could try it at our end?&lt;/P&gt;
&lt;P&gt;&amp;nbsp;&lt;/P&gt;
&lt;P&gt;&lt;SPAN&gt;Best Regards,&lt;/SPAN&gt;&lt;/P&gt;
&lt;P&gt;&lt;SPAN&gt;Shanmukh.SS&lt;/SPAN&gt;&lt;/P&gt;
&lt;P&gt;&amp;nbsp;&lt;/P&gt;</description>
      <pubDate>Wed, 16 Mar 2022 10:41:02 GMT</pubDate>
      <guid>https://community.intel.com/t5/Intel-oneAPI-Math-Kernel-Library/PARDISO-reproducibility/m-p/1365810#M32863</guid>
      <dc:creator>ShanmukhS_Intel</dc:creator>
      <dc:date>2022-03-16T10:41:02Z</dc:date>
    </item>
    <item>
      <title>Re:PARDISO reproducibility</title>
      <link>https://community.intel.com/t5/Intel-oneAPI-Math-Kernel-Library/PARDISO-reproducibility/m-p/1367944#M32901</link>
      <description>&lt;P&gt;Hi,&lt;/P&gt;&lt;P&gt;&lt;BR /&gt;&lt;/P&gt;&lt;P&gt;Reminder:&lt;/P&gt;&lt;P&gt;Has the information provided helped? Is your issue resolved? &lt;/P&gt;&lt;P&gt;&lt;BR /&gt;&lt;/P&gt;&lt;P&gt;Kindly let us know if we could close this thread at our end.&lt;/P&gt;&lt;P&gt;&lt;BR /&gt;&lt;/P&gt;&lt;P&gt;Best Regards,&lt;/P&gt;&lt;P&gt;Shanmukh.SS&lt;/P&gt;&lt;BR /&gt;</description>
      <pubDate>Fri, 11 Mar 2022 10:40:19 GMT</pubDate>
      <guid>https://community.intel.com/t5/Intel-oneAPI-Math-Kernel-Library/PARDISO-reproducibility/m-p/1367944#M32901</guid>
      <dc:creator>ShanmukhS_Intel</dc:creator>
      <dc:date>2022-03-11T10:40:19Z</dc:date>
    </item>
    <item>
      <title>Re:PARDISO reproducibility</title>
      <link>https://community.intel.com/t5/Intel-oneAPI-Math-Kernel-Library/PARDISO-reproducibility/m-p/1369930#M32931</link>
      <description>&lt;P&gt;Hi,&lt;/P&gt;&lt;P&gt;&lt;BR /&gt;&lt;/P&gt;&lt;P&gt;We haven't heard back from you. We assume that your issue is resolved. If you need any additional information, please post a new question as this thread will no longer be monitored by Intel.&lt;/P&gt;&lt;P&gt;&lt;BR /&gt;&lt;/P&gt;&lt;P&gt;Best Regards,&lt;/P&gt;&lt;P&gt;Shanmukh.SS&lt;/P&gt;&lt;BR /&gt;</description>
      <pubDate>Fri, 18 Mar 2022 04:17:30 GMT</pubDate>
      <guid>https://community.intel.com/t5/Intel-oneAPI-Math-Kernel-Library/PARDISO-reproducibility/m-p/1369930#M32931</guid>
      <dc:creator>ShanmukhS_Intel</dc:creator>
      <dc:date>2022-03-18T04:17:30Z</dc:date>
    </item>
    <item>
      <title>Re: Re:PARDISO reproducibility</title>
      <link>https://community.intel.com/t5/Intel-oneAPI-Math-Kernel-Library/PARDISO-reproducibility/m-p/1370210#M32932</link>
      <description>&lt;P&gt;Thank you.&amp;nbsp;&lt;/P&gt;</description>
      <pubDate>Sat, 19 Mar 2022 03:32:32 GMT</pubDate>
      <guid>https://community.intel.com/t5/Intel-oneAPI-Math-Kernel-Library/PARDISO-reproducibility/m-p/1370210#M32932</guid>
      <dc:creator>nedialk</dc:creator>
      <dc:date>2022-03-19T03:32:32Z</dc:date>
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