body {
  background-color: transparent !
  important
}

body {
  background-color: rgb(255,255,255);
  border: none;
  font-family: Times New Roman;
  font-style: normal;
  font-weight: 400;
  text-align: justify;
  color: rgb(0,0,0)
}
body .graphicCaption {
  font-style: normal;
  font-weight: 400
}
body .plotCaption {
  font-style: normal;
  font-weight: 400
}
body A {
  color: rgb(0,128,0)
}
body A math {
  color: rgb(0,128,0)
}
body TABLE {
  padding-left: 0pt;
  padding-right: 0pt;
  padding-top: 0pt;
  padding-bottom: 0pt
}
body TD {
  padding-left: 0.5em;
  padding-right: 0.5em;
  padding-top: 0.5ex;
  padding-bottom: 0.5ex
}
ul {
  list-style-type: disc
}
ul ul {
  list-style-type: disc
}
ul ul ul {
  list-style-type: disc
}
ul ul ul ul {
  list-style-type: disc
}
ol {
  list-style-type: decimal
}
ol ol {
  list-style-type: lower-alpha
}
ol ol ol {
  list-style-type: lower-roman
}
ol ol ol ol {
  list-style-type: lower-alpha
}
p.error {
  font-size: 167%;
  font-weight: 700;
  color: rgb(255,0,0)
}
p {
  font-family: Times New Roman;
  font-size: 100%;
  font-style: normal;
  font-weight: 400;
  text-align: justify;
  margin-left: 0pt;
  margin-top: 0pt;
  margin-right: 0pt;
  margin-bottom: 0pt;
  padding-left: 0pt;
  padding-top: 1pt;
  padding-right: 0pt;
  padding-bottom: 1pt;
  text-indent: 0pt
}
p span.inlineMath {
  color: rgb(0,0,0)
}
p.Body-Math {
  background-color: rgb(255,255,255);
  border: none;
  font-family: Times New Roman;
  font-size: 92%;
  font-style: normal;
  font-weight: 400;
  text-align: left;
  color: rgb(255,0,0);
  margin-left: 0pt;
  margin-top: 0pt;
  margin-right: 0pt;
  margin-bottom: 0pt;
  padding-left: 0pt;
  padding-top: 0pt;
  padding-right: 0pt;
  padding-bottom: 0pt;
  text-indent: 0pt
}
h1.section {
  font-family: Bookman Old Style;
  font-size: 250%;
  text-align: center;
  margin-left: 0pt;
  margin-top: 0pt;
  margin-right: 0pt;
  margin-bottom: 0pt;
  padding-left: 0pt;
  padding-top: 0pt;
  padding-right: 0pt;
  padding-bottom: 0pt;
  text-indent: 0pt
}
h1.section span.inlineMath {
  color: rgb(0,0,0)
}
h2.subsection {
  font-family: Century Schoolbook;
  font-size: 183%;
  font-style: normal;
  font-weight: 700;
  text-align: left;
  color: rgb(0,128,0);
  margin-left: 0pt;
  margin-top: 0pt;
  margin-right: 0pt;
  margin-bottom: 0pt;
  padding-left: 0pt;
  padding-top: 0pt;
  padding-right: 0pt;
  padding-bottom: 0pt;
  text-indent: 0pt
}
h2.subsection span.inlineMath {
  color: rgb(0,128,0);
  font-style: normal;
  font-weight: 700
}
h3.subsubsection {
  background-color: rgb(255,255,255);
  border: none;
  font-family: Century Schoolbook;
  font-size: 117%;
  font-style: normal;
  font-weight: 700;
  text-align: left;
  color: rgb(0,0,128);
  margin-left: 0pt;
  margin-top: 0pt;
  margin-right: 0pt;
  margin-bottom: 0pt;
  padding-left: 0pt;
  padding-top: 4pt;
  padding-right: 0pt;
  padding-bottom: 1pt;
  text-indent: 0pt
}
h3.subsubsection span.inlineMath {
  color: rgb(0,0,128);
  font-family: Times New Roman;
  font-weight: 700
}
h4.paragraph {
  background-color: rgb(255,255,255);
  border: none;
  font-family: Arial;
  font-size: 100%;
  font-style: normal;
  font-weight: 700;
  text-align: left;
  color: rgb(0,128,128);
  margin-left: 0pt;
  margin-top: 0pt;
  margin-right: 0pt;
  margin-bottom: 0pt;
  padding-left: 0pt;
  padding-top: 3pt;
  padding-right: 0pt;
  padding-bottom: 1pt;
  text-indent: 0pt
}
h5.subparagraph {
  background-color: rgb(255,255,255);
  border: none;
  font-family: Arial;
  font-size: 100%;
  font-style: normal;
  text-align: left;
  color: rgb(0,128,128);
  margin-left: 0pt;
  margin-top: 0pt;
  margin-right: 0pt;
  margin-bottom: 0pt;
  padding-left: 0pt;
  padding-top: 1pt;
  padding-right: 0pt;
  padding-bottom: 1pt;
  text-indent: 0pt
}
em {
  background-color: rgb(255,255,255);
  border: none;
  font-family: Annifont;
  font-size: 133%;
  font-style: normal;
  font-weight: 400;
  color: rgb(0,128,0)
}
em span.inlineMath {
  color: rgb(0,128,0);
  font-family: Annifont;
  font-style: normal;
  font-weight: 400
}
span.rm {
  font-size: 100%
}
strong {
  font-weight: 700
}
span.it {
  font-size: 100%;
  font-style: italic;
  font-weight: 400
}
span.it span.inlineMath {
  color: rgb(0,255,255)
}
span.sl {
  font-family: Times New Roman;
  font-size: 117%;
  font-style: normal;
  font-weight: 700;
  color: rgb(255,0,0)
}
span.sl span.inlineMath {
  color: rgb(255,0,0);
  font-family: Times New Roman;
  font-size: 100%;
  font-style: normal;
  font-weight: 700
}
span.sf {
  font-family: BernhardFashion BT;
  font-size: 117%;
  font-style: normal;
  font-weight: 400;
  color: rgb(0,0,0)
}
span.sf span.inlineMath {
  color: rgb(255,0,0)
}
span.sc {
  font-family: Arial Black;
  font-size: 92%;
  color: rgb(0,128,128)
}
span.sc span.inlineMath {
  color: rgb(0,128,0)
}
span.tt {
  font-family: Verdana;
  font-size: 67%;
  font-style: normal;
  font-weight: 400
}
span.tt span.inlineMath {
  color: rgb(0,0,0)
}
dl.description dd p {
  background-color: rgb(255,255,255);
  border: none;
  font-family: Times New Roman;
  font-size: 100%;
  text-align: left;
  color: rgb(0,0,255);
  margin-left: 0pt;
  margin-top: 0pt;
  margin-right: 0pt;
  margin-bottom: 0pt;
  padding-left: 0pt;
  padding-top: 0pt;
  padding-right: 0pt;
  padding-bottom: 0pt;
  text-indent: 0pt
}
dl.description dd span.inlineMath {
  color: rgb(0,0,255)
}
dl.description {
  background-color: rgb(255,255,255);
  border: none;
  font-family: Times New Roman;
  font-size: 100%;
  color: rgb(0,0,255)
}
dl.description dt.leadin {
  font-family: Times New Roman;
  font-style: normal;
  font-weight: 700;
  color: rgb(0,0,255)
}
ol li p {
  background-color: rgb(255,255,255);
  border: none;
  font-family: Times New Roman;
  font-size: 100%;
  font-style: normal;
  font-weight: 400;
  text-align: left;
  color: rgb(0,0,0);
  margin-left: 0pt;
  margin-top: 0pt;
  margin-right: 0pt;
  margin-bottom: 0pt;
  padding-left: 0pt;
  padding-top: 1pt;
  padding-right: 25pt;
  padding-bottom: 1pt;
  text-indent: 0pt
}
ol li span.inlineMath {
  font-family: Century Schoolbook;
  font-size: 100%
}
ol {
  background-color: rgb(255,255,255);
  border: none;
  font-family: Times New Roman;
  font-size: 100%;
  font-weight: 400;
  color: rgb(0,0,0)
}
ol .leadin {
  font-family: Century Schoolbook;
  font-size: 92%;
  font-style: normal;
  font-weight: 700;
  color: rgb(0,0,0)
}
ul li p {
  background-color: rgb(255,255,255);
  border: none;
  font-family: Times New Roman;
  font-size: 100%;
  text-align: left;
  color: rgb(0,0,0);
  margin-left: 0pt;
  margin-top: 0pt;
  margin-right: 0pt;
  margin-bottom: 0pt;
  padding-left: 0pt;
  padding-top: 1pt;
  padding-right: 18pt;
  padding-bottom: 1pt;
  text-indent: 0pt
}
ul li span.inlineMath {
  color: rgb(0,0,0)
}
ul {
  background-color: rgb(255,255,255);
  border: none;
  font-family: Times New Roman;
  font-size: 100%;
  color: rgb(0,0,0)
}
ul .leadin {
  font-size: 67%;
  color: rgb(0,0,0)
}
ul .leadin math {
  color: rgb(0,0,0)
}
ol li p {
  background-color: rgb(255,255,255);
  border: none;
  font-family: Times New Roman;
  font-size: 100%;
  font-style: normal;
  font-weight: 400;
  text-align: left;
  color: rgb(0,0,0);
  margin-left: 0pt;
  margin-top: 0pt;
  margin-right: 0pt;
  margin-bottom: 0pt;
  padding-left: 0pt;
  padding-top: 1pt;
  padding-right: 25pt;
  padding-bottom: 1pt;
  text-indent: 0pt
}
ol li span.inlineMath {
  font-family: Century Schoolbook;
  font-size: 100%
}
ol {
  background-color: rgb(255,255,255);
  border: none;
  font-family: Times New Roman;
  font-size: 100%;
  font-weight: 400;
  color: rgb(0,0,0)
}
ol .leadin {
  font-family: Century Schoolbook;
  font-size: 92%;
  font-style: normal;
  font-weight: 700;
  color: rgb(0,0,0)
}
ul li p {
  background-color: rgb(255,255,255);
  border: none;
  font-family: Times New Roman;
  font-size: 100%;
  text-align: left;
  color: rgb(0,0,0);
  margin-left: 0pt;
  margin-top: 0pt;
  margin-right: 0pt;
  margin-bottom: 0pt;
  padding-left: 0pt;
  padding-top: 1pt;
  padding-right: 18pt;
  padding-bottom: 1pt;
  text-indent: 0pt
}
ul li span.inlineMath {
  color: rgb(0,0,0)
}
ul {
  background-color: rgb(255,255,255);
  border: none;
  font-family: Times New Roman;
  font-size: 100%;
  color: rgb(0,0,0)
}
ul .leadin {
  font-size: 67%;
  color: rgb(0,0,0)
}
ul .leadin math {
  color: rgb(0,0,0)
}
span.cal {
  font-family: BERNARD;
  font-size: 133%;
  color: rgb(0,0,0)
}
span.cal span.inlineMath {
  font-family: BERNARD;
  font-size: 100%;
  font-style: normal;
  font-weight: 400
}
span.tiny {
  font-size: 50%;
  color: rgb(255,0,255)
}
span.scriptsize {
  font-size: 67%
}
span.footnotesize {
  font-size: 75%
}
span.small {
  font-size: 83%
}
span.normalsize {
  font-size: 100%;
  color: rgb(0,128,128)
}
span.large1 {
  font-size: 117%;
  color: rgb(0,0,64)
}
span.large2 {
  font-size: 117%
}
span.large3 {
  font-size: 133%
}
span.huge1 {
  font-size: 167%;
  color: rgb(255,0,255)
}
span.huge2 {
  font-size: 183%;
  color: rgb(255,0,255)
}
ol.thebibliography li p {
  font-size: 100%;
  text-align: left;
  margin-left: 0pt;
  margin-top: 0pt;
  margin-right: 0pt;
  margin-bottom: 0pt;
  padding-left: 18pt;
  padding-top: 0pt;
  padding-right: 0pt;
  padding-bottom: 0pt;
  text-indent: 0pt
}
ol.thebibliography {
  font-size: 100%
}
p.quotation {
  background-color: rgb(240,240,240);
  border: none;
  font-family: Arial;
  font-size: 100%;
  text-align: left;
  margin-left: 24pt;
  margin-top: 0pt;
  margin-right: 0pt;
  margin-bottom: 0pt;
  padding-left: 0pt;
  padding-top: 0pt;
  padding-right: 24pt;
  padding-bottom: 0pt;
  text-indent: 0pt
}
p.quote {
  background-color: rgb(255,255,255);
  border: none;
  font-family: Arial;
  font-size: 100%;
  font-style: italic;
  font-weight: 700;
  text-align: left;
  color: rgb(0,128,128);
  margin-left: 0pt;
  margin-top: 0pt;
  margin-right: 0pt;
  margin-bottom: 0pt;
  padding-left: 0pt;
  padding-top: 7pt;
  padding-right: 0pt;
  padding-bottom: 4pt;
  text-indent: 0pt
}
p.center {
  background-color: rgb(255,255,255);
  border: none;
  font-size: 100%;
  text-align: center;
  margin-left: 43pt;
  margin-top: 0pt;
  margin-right: 0pt;
  margin-bottom: 0pt;
  padding-left: 0pt;
  padding-top: 0pt;
  padding-right: 0pt;
  padding-bottom: 0pt;
  text-indent: 0pt
}
p.center span.inlineMath {
  color: rgb(0,0,0)
}
p.f-0 {
  font-size: 100%;
  margin-left: 35pt;
  margin-top: 0pt;
  margin-right: 0pt;
  margin-bottom: 0pt;
  padding-left: 0pt;
  padding-top: 0pt;
  padding-right: 0pt;
  padding-bottom: 0pt
}
div.f-0 {
  font-size: 100%
}
div.f-0 span.leadin {
  padding-top: 0pt
}
p.f-0-FirstPara {
  font-size: 100%;
  margin-left: 35pt;
  margin-top: 0pt;
  margin-right: 0pt;
  margin-bottom: 0pt;
  padding-left: 0pt;
  padding-top: 0pt;
  padding-right: 0pt;
  padding-bottom: 0pt;
  text-indent: 2pt
}
p.f-1 {
  font-size: 100%;
  margin-left: 35pt;
  margin-top: 0pt;
  margin-right: 0pt;
  margin-bottom: 0pt;
  padding-left: 0pt;
  padding-top: 0pt;
  padding-right: 0pt;
  padding-bottom: 0pt
}
div.f-1 {
  font-size: 100%
}
div.f-1 span.leadin {
  padding-top: 0pt
}
p.f-1-FirstPara {
  font-size: 100%;
  margin-left: 35pt;
  margin-top: 0pt;
  margin-right: 0pt;
  margin-bottom: 0pt;
  padding-left: 0pt;
  padding-top: 0pt;
  padding-right: 0pt;
  padding-bottom: 0pt;
  text-indent: 2pt
}
p.f-2 {
  font-size: 100%;
  margin-left: 35pt;
  margin-top: 0pt;
  margin-right: 0pt;
  margin-bottom: 0pt;
  padding-left: 0pt;
  padding-top: 0pt;
  padding-right: 0pt;
  padding-bottom: 0pt
}
div.f-2 {
  font-size: 100%
}
div.f-2 span.leadin {
  padding-top: 0pt
}
p.f-2-FirstPara {
  font-size: 100%;
  margin-left: 35pt;
  margin-top: 0pt;
  margin-right: 0pt;
  margin-bottom: 0pt;
  padding-left: 0pt;
  padding-top: 0pt;
  padding-right: 0pt;
  padding-bottom: 0pt;
  text-indent: 2pt
}
p.f-7 {
  font-size: 100%;
  margin-left: 35pt;
  margin-top: 0pt;
  margin-right: 0pt;
  margin-bottom: 0pt;
  padding-left: 0pt;
  padding-top: 0pt;
  padding-right: 0pt;
  padding-bottom: 0pt
}
div.f-7 {
  font-size: 100%
}
div.f-7 span.leadin {
  padding-top: 0pt
}
p.f-7-FirstPara {
  font-size: 100%;
  margin-left: 35pt;
  margin-top: 0pt;
  margin-right: 0pt;
  margin-bottom: 0pt;
  padding-left: 0pt;
  padding-top: 0pt;
  padding-right: 0pt;
  padding-bottom: 0pt;
  text-indent: 2pt
}
p.abstract {
  font-size: 100%;
  margin-left: 35pt;
  margin-top: 0pt;
  margin-right: 0pt;
  margin-bottom: 0pt;
  padding-left: 0pt;
  padding-top: 0pt;
  padding-right: 0pt;
  padding-bottom: 0pt
}
div.abstract {
  font-size: 100%
}
div.abstract span.leadin {
  padding-top: 0pt
}
p.abstract-FirstPara {
  font-size: 100%;
  margin-left: 35pt;
  margin-top: 0pt;
  margin-right: 0pt;
  margin-bottom: 0pt;
  padding-left: 0pt;
  padding-top: 0pt;
  padding-right: 0pt;
  padding-bottom: 0pt;
  text-indent: 2pt
}
p.f-11 {
  font-size: 100%;
  margin-left: 35pt;
  margin-top: 0pt;
  margin-right: 0pt;
  margin-bottom: 0pt;
  padding-left: 0pt;
  padding-top: 0pt;
  padding-right: 0pt;
  padding-bottom: 0pt
}
div.f-11 {
  font-size: 100%
}
div.f-11 span.leadin {
  padding-top: 0pt
}
p.f-11-FirstPara {
  font-size: 100%;
  margin-left: 35pt;
  margin-top: 0pt;
  margin-right: 0pt;
  margin-bottom: 0pt;
  padding-left: 0pt;
  padding-top: 0pt;
  padding-right: 0pt;
  padding-bottom: 0pt;
  text-indent: 2pt
}
p.f-12 {
  font-size: 100%;
  margin-left: 35pt;
  margin-top: 0pt;
  margin-right: 0pt;
  margin-bottom: 0pt;
  padding-left: 0pt;
  padding-top: 0pt;
  padding-right: 0pt;
  padding-bottom: 0pt
}
div.f-12 {
  font-size: 100%
}
div.f-12 span.leadin {
  padding-top: 0pt
}
p.f-12-FirstPara {
  font-size: 100%;
  margin-left: 35pt;
  margin-top: 0pt;
  margin-right: 0pt;
  margin-bottom: 0pt;
  padding-left: 0pt;
  padding-top: 0pt;
  padding-right: 0pt;
  padding-bottom: 0pt;
  text-indent: 2pt
}
p.f-13 {
  font-size: 100%;
  margin-left: 35pt;
  margin-top: 0pt;
  margin-right: 0pt;
  margin-bottom: 0pt;
  padding-left: 0pt;
  padding-top: 0pt;
  padding-right: 0pt;
  padding-bottom: 0pt
}
div.f-13 {
  font-size: 100%
}
div.f-13 span.leadin {
  padding-top: 0pt
}
p.f-13-FirstPara {
  font-size: 100%;
  margin-left: 35pt;
  margin-top: 0pt;
  margin-right: 0pt;
  margin-bottom: 0pt;
  padding-left: 0pt;
  padding-top: 0pt;
  padding-right: 0pt;
  padding-bottom: 0pt;
  text-indent: 2pt
}
p.f-14 {
  font-size: 100%;
  margin-left: 35pt;
  margin-top: 0pt;
  margin-right: 0pt;
  margin-bottom: 0pt;
  padding-left: 0pt;
  padding-top: 0pt;
  padding-right: 0pt;
  padding-bottom: 0pt
}
div.f-14 {
  font-size: 100%
}
div.f-14 span.leadin {
  padding-top: 0pt
}
p.f-14-FirstPara {
  font-size: 100%;
  margin-left: 35pt;
  margin-top: 0pt;
  margin-right: 0pt;
  margin-bottom: 0pt;
  padding-left: 0pt;
  padding-top: 0pt;
  padding-right: 0pt;
  padding-bottom: 0pt;
  text-indent: 2pt
}
span.frak {
  font-size: 100%;
  font-style: normal;
  font-weight: 400;
  color: rgb(192,192,192)
}
span.frak span.inlineMath {
  color: rgb(255,0,255)
}
span.Bbb {
  font-size: 100%;
  color: rgb(192,192,192)
}
p.proof {
  background-color: rgb(225,225,225);
  border: none;
  font-size: 100%;
  margin-left: 58pt;
  margin-top: 0pt;
  margin-right: 0pt;
  margin-bottom: 0pt;
  padding-left: 0pt;
  padding-top: 0pt;
  padding-right: 0pt;
  padding-bottom: 0pt
}
div.proof {
  background-color: rgb(225,225,225);
  border: none;
  font-size: 100%
}
div.proof span.leadin {
  background-color: rgb(255,255,255);
  font-family: Arial;
  font-style: normal;
  font-weight: 700;
  padding-top: 0pt
}
p.proof-FirstPara {
  background-color: rgb(225,225,225);
  font-size: 100%;
  margin-left: 58pt;
  margin-top: 0pt;
  margin-right: 0pt;
  margin-bottom: 0pt;
  padding-left: 0pt;
  padding-top: 0pt;
  padding-right: 0pt;
  padding-bottom: 0pt;
  text-indent: 2pt
}
p.acknowledgement {
  font-size: 100%;
  font-style: italic;
  margin-left: 0pt;
  margin-top: 0pt;
  margin-right: 0pt;
  margin-bottom: 0pt;
  padding-left: 58pt;
  padding-top: 4pt;
  padding-right: 0pt;
  padding-bottom: 4pt
}
div.acknowledgement {
  font-size: 100%
}
div.acknowledgement span.leadin {
  background-color: rgb(255,255,255);
  font-family: Arial;
  font-style: normal;
  font-weight: 700;
  padding-top: 4pt
}
p.acknowledgement-FirstPara {
  font-size: 100%;
  font-style: italic;
  margin-left: 0pt;
  margin-top: 0pt;
  margin-right: 0pt;
  margin-bottom: 0pt;
  padding-left: 58pt;
  padding-top: 4pt;
  padding-right: 0pt;
  padding-bottom: 4pt;
  text-indent: 2pt
}
p.algorithm {
  font-family: Century Schoolbook;
  font-size: 100%;
  font-style: italic;
  font-weight: 400;
  margin-left: 0pt;
  margin-top: 0pt;
  margin-right: 0pt;
  margin-bottom: 0pt;
  padding-left: 58pt;
  padding-top: 4pt;
  padding-right: 0pt;
  padding-bottom: 4pt
}
div.algorithm {
  font-family: Century Schoolbook;
  font-size: 92%;
  font-weight: 400
}
div.algorithm span.leadin {
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}
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}
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}
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}
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}
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}
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p.theorem {
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}
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  font-style: normal;
  font-weight: 400;
  text-align: justify;
  color: rgb(0,128,0);
  margin-left: 0pt;
  margin-top: 0pt;
  margin-right: 0pt;
  margin-bottom: 0pt;
  padding-left: 0pt;
  padding-top: 1pt;
  padding-right: 0pt;
  padding-bottom: 1pt;
  text-indent: 0pt
}
p.QQQzstylebleu span.inlineMath {
  color: rgb(0,128,0)
}
span.QQQrougepetit {
  font-family: Times New Roman;
  font-size: 67%;
  font-style: normal;
  font-weight: 400;
  color: rgb(255,0,0)
}
span.QQQrougepetit span.inlineMath {
  color: rgb(255,0,0)
}
p.QQQnormaltgrouge {
  font-family: Times New Roman;
  font-size: 150%;
  font-style: normal;
  font-weight: 400;
  text-align: justify;
  color: rgb(255,0,0);
  margin-left: 0pt;
  margin-top: 0pt;
  margin-right: 0pt;
  margin-bottom: 0pt;
  padding-left: 0pt;
  padding-top: 1pt;
  padding-right: 0pt;
  padding-bottom: 1pt;
  text-indent: 0pt
}
p.QQQnormaltgrouge span.inlineMath {
  color: rgb(255,0,0);
  font-family: Times New Roman;
  font-size: 100%;
  font-style: normal;
  font-weight: 400
}
p.QQQnormaltgbleu {
  font-family: Times New Roman;
  font-size: 200%;
  font-style: normal;
  font-weight: 400;
  text-align: justify;
  color: rgb(0,0,255);
  margin-left: 0pt;
  margin-top: 0pt;
  margin-right: 0pt;
  margin-bottom: 0pt;
  padding-left: 0pt;
  padding-top: 1pt;
  padding-right: 0pt;
  padding-bottom: 1pt;
  text-indent: 0pt
}
p.QQQnormaltgbleu span.inlineMath {
  color: rgb(0,0,255)
}
p.QQQdecalnormal {
  font-family: Times New Roman;
  font-size: 100%;
  text-align: justify;
  margin-left: 43pt;
  margin-top: 0pt;
  margin-right: 0pt;
  margin-bottom: 0pt;
  padding-left: 0pt;
  padding-top: 1pt;
  padding-right: 0pt;
  padding-bottom: 1pt;
  text-indent: 0pt
}
p.QQQdecalnormal span.inlineMath {
  color: rgb(0,0,0)
}
p.QQQdecalbleu {
  font-family: Times New Roman;
  font-size: 100%;
  text-align: justify;
  color: rgb(0,0,255);
  margin-left: 43pt;
  margin-top: 0pt;
  margin-right: 0pt;
  margin-bottom: 0pt;
  padding-left: 0pt;
  padding-top: 1pt;
  padding-right: 0pt;
  padding-bottom: 1pt;
  text-indent: 0pt
}
p.QQQdecalbleu span.inlineMath {
  color: rgb(0,0,255)
}
p.QQQzstylenormal2 {
  font-family: Times New Roman;
  font-size: 100%;
  font-style: normal;
  font-weight: 400;
  text-align: justify;
  margin-left: 0pt;
  margin-top: 0pt;
  margin-right: 0pt;
  margin-bottom: 0pt;
  padding-left: 0pt;
  padding-top: 1pt;
  padding-right: 0pt;
  padding-bottom: 1pt;
  text-indent: 0pt
}
p.QQQzstylenormal2 span.inlineMath {
  color: rgb(0,0,0);
  font-family: Century Schoolbook;
  font-size: 100%;
  font-style: normal
}
p.QQQzstylecsrouge {
  font-family: Verdana;
  font-size: 75%;
  font-style: normal;
  font-weight: 400;
  text-align: justify;
  color: rgb(255,0,0);
  margin-left: 0pt;
  margin-top: 0pt;
  margin-right: 0pt;
  margin-bottom: 0pt;
  padding-left: 0pt;
  padding-top: 1pt;
  padding-right: 0pt;
  padding-bottom: 1pt;
  text-indent: 0pt
}
p.QQQzstylecsrouge span.inlineMath {
  color: rgb(255,0,0);
  font-family: Century Schoolbook;
  font-size: 100%;
  font-style: normal
}
p.QQQzstylecsbleu {
  font-family: Verdana;
  font-size: 75%;
  font-style: normal;
  font-weight: 400;
  text-align: justify;
  color: rgb(0,0,255);
  margin-left: 0pt;
  margin-top: 0pt;
  margin-right: 0pt;
  margin-bottom: 0pt;
  padding-left: 0pt;
  padding-top: 1pt;
  padding-right: 0pt;
  padding-bottom: 1pt;
  text-indent: 0pt
}
p.QQQzstylecsbleu span.inlineMath {
  color: rgb(0,0,255);
  font-family: Verdana;
  font-size: 100%;
  font-style: normal
}
p.QQQzstylecsvert {
  font-family: Century Schoolbook;
  font-size: 83%;
  font-style: normal;
  font-weight: 400;
  text-align: justify;
  color: rgb(0,128,0);
  margin-left: 0pt;
  margin-top: 0pt;
  margin-right: 0pt;
  margin-bottom: 0pt;
  padding-left: 0pt;
  padding-top: 1pt;
  padding-right: 0pt;
  padding-bottom: 1pt;
  text-indent: 0pt
}
p.QQQzstylecsvert span.inlineMath {
  color: rgb(0,128,0);
  font-family: Century Schoolbook;
  font-size: 100%;
  font-style: normal
}
p.QQQprojection {
  font-family: Times New Roman;
  font-size: 200%;
  font-style: normal;
  font-weight: 400;
  text-align: justify;
  margin-left: 0pt;
  margin-top: 0pt;
  margin-right: 0pt;
  margin-bottom: 0pt;
  padding-left: 0pt;
  padding-top: 1pt;
  padding-right: 0pt;
  padding-bottom: 1pt;
  text-indent: 0pt
}
p.QQQprojection span.inlineMath {
  color: rgb(0,0,0);
  font-family: Century Schoolbook;
  font-size: 100%;
  font-style: normal
}
p.QQQenoncé {
  background-color: rgb(213,213,215);
  border: none;
  font-family: Comic Sans MS;
  font-size: 92%;
  font-style: normal;
  font-weight: 400;
  text-align: left;
  color: rgb(0,0,0);
  margin-left: 0pt;
  margin-top: 0pt;
  margin-right: 0pt;
  margin-bottom: 0pt;
  padding-left: 0pt;
  padding-top: 1pt;
  padding-right: 0pt;
  padding-bottom: 1pt;
  text-indent: 0pt
}
p.QQQenoncé span.inlineMath {
  color: rgb(0,0,0);
  font-family: Comic Sans MS;
  font-size: 100%;
  font-style: normal
}
p.QQQastylemain {
  font-family: beperso;
  font-size: 100%;
  font-style: normal;
  font-weight: 400;
  text-align: justify;
  margin-left: 0pt;
  margin-top: 0pt;
  margin-right: 0pt;
  margin-bottom: 0pt;
  padding-left: 0pt;
  padding-top: 1pt;
  padding-right: 0pt;
  padding-bottom: 1pt;
  text-indent: 0pt
}
p.QQQastylemain span.inlineMath {
  color: rgb(0,0,0);
  font-family: beperso;
  font-size: 100%;
  font-style: normal;
  font-weight: 400
}
p.QQQzessai {
  font-family: BERNARD;
  font-size: 133%;
  font-style: normal;
  font-weight: 400;
  text-align: justify;
  margin-left: 0pt;
  margin-top: 0pt;
  margin-right: 0pt;
  margin-bottom: 0pt;
  padding-left: 0pt;
  padding-top: 1pt;
  padding-right: 0pt;
  padding-bottom: 1pt;
  text-indent: 0pt
}
p.QQQzessai span.inlineMath {
  color: rgb(0,0,0);
  font-family: BERNARD;
  font-size: 100%
}
p.QQQdecalmain {
  font-family: Stylograph;
  font-size: 125%;
  text-align: justify;
  margin-left: 43pt;
  margin-top: 0pt;
  margin-right: 0pt;
  margin-bottom: 0pt;
  padding-left: 0pt;
  padding-top: 1pt;
  padding-right: 0pt;
  padding-bottom: 1pt;
  text-indent: 0pt
}
p.QQQdecalmain span.inlineMath {
  color: rgb(0,0,0);
  font-family: Stylograph;
  font-size: 100%
}
p.QQQastylemainbleu {
  font-family: Annifont;
  font-size: 100%;
  font-style: normal;
  font-weight: 400;
  text-align: justify;
  color: rgb(65,37,218);
  margin-left: 0pt;
  margin-top: 0pt;
  margin-right: 0pt;
  margin-bottom: 0pt;
  padding-left: 0pt;
  padding-top: 1pt;
  padding-right: 0pt;
  padding-bottom: 1pt;
  text-indent: 0pt
}
p.QQQastylemainbleu span.inlineMath {
  color: rgb(65,37,218);
  font-family: Annifont;
  font-size: 100%
}
span.QQQmain {
  font-family: ZemkeHandITC TT;
  font-size: 100%;
  font-style: normal;
  color: rgb(0,0,0)
}
span.QQQmain span.inlineMath {
  color: rgb(0,0,0);
  font-family: ZemkeHandITC TT
}
p.QQQastylemain2 {
  font-family: Amano;
  font-size: 117%;
  font-style: normal;
  font-weight: 400;
  text-align: justify;
  margin-left: 0pt;
  margin-top: 0pt;
  margin-right: 0pt;
  margin-bottom: 0pt;
  padding-left: 0pt;
  padding-top: 1pt;
  padding-right: 0pt;
  padding-bottom: 1pt;
  text-indent: 0pt
}
p.QQQastylemain2 span.inlineMath {
  color: rgb(0,0,0);
  font-family: Amano;
  font-size: 100%;
  font-style: normal;
  font-weight: 400
}
p.QQQdecalitalique {
  font-family: Times New Roman;
  font-size: 100%;
  font-style: italic;
  text-align: justify;
  margin-left: 43pt;
  margin-top: 0pt;
  margin-right: 0pt;
  margin-bottom: 0pt;
  padding-left: 0pt;
  padding-top: 1pt;
  padding-right: 0pt;
  padding-bottom: 1pt;
  text-indent: 0pt
}
p.QQQdecalitalique span.inlineMath {
  color: rgb(0,0,0);
  font-family: Times New Roman;
  font-size: 100%;
  font-style: italic
}
p.QQQderive {
  font-family: Derive Unicode;
  font-size: 100%;
  font-style: normal;
  font-weight: 400;
  text-align: justify;
  color: rgb(0,0,0);
  margin-left: 0pt;
  margin-top: 0pt;
  margin-right: 0pt;
  margin-bottom: 0pt;
  padding-left: 0pt;
  padding-top: 1pt;
  padding-right: 0pt;
  padding-bottom: 1pt;
  text-indent: 0pt
}
p.QQQderive span.inlineMath {
  color: rgb(0,0,0);
  font-family: Derive Unicode;
  font-size: 100%;
  font-style: normal
}
span.QQQderiveb {
  font-family: Derive Unicode;
  font-size: 100%;
  color: rgb(0,0,0)
}
span.QQQderiveb span.inlineMath {
  font-family: Derive Unicode;
  font-weight: 400
}
p.QQQnormal {
  font-family: Times New Roman;
  font-size: 100%;
  font-style: normal;
  font-weight: 400;
  text-align: justify;
  margin-left: 0pt;
  margin-top: 0pt;
  margin-right: 0pt;
  margin-bottom: 0pt;
  padding-left: 0pt;
  padding-top: 1pt;
  padding-right: 0pt;
  padding-bottom: 1pt;
  text-indent: 0pt
}
p.QQQnormal span.inlineMath {
  color: rgb(0,0,0)
}
p.QQQztexte {
  font-family: Times New Roman;
  font-size: 117%;
  font-style: normal;
  font-weight: 400;
  text-align: left;
  margin-left: 0pt;
  margin-top: 0pt;
  margin-right: 0pt;
  margin-bottom: 0pt;
  padding-left: 0pt;
  padding-top: 1pt;
  padding-right: 0pt;
  padding-bottom: 1pt;
  text-indent: 0pt
}
p.QQQztexte span.inlineMath {
  color: rgb(0,0,0);
  font-family: Times New Roman;
  font-size: 100%;
  font-style: normal;
  font-weight: 400
}
p.QQQamandine {
  font-family: Amandine;
  font-size: 133%;
  font-style: normal;
  font-weight: 400;
  text-align: justify;
  color: rgb(0,0,128);
  margin-left: 0pt;
  margin-top: 0pt;
  margin-right: 0pt;
  margin-bottom: 0pt;
  padding-left: 0pt;
  padding-top: 1pt;
  padding-right: 0pt;
  padding-bottom: 1pt;
  text-indent: 0pt
}
p.QQQamandine span.inlineMath {
  color: rgb(0,0,128);
  font-family: Amandine;
  font-size: 100%;
  font-style: normal;
  font-weight: 400
}
p.QQQdecalrouge {
  font-family: Times New Roman;
  font-size: 100%;
  text-align: justify;
  color: rgb(255,0,0);
  margin-left: 43pt;
  margin-top: 0pt;
  margin-right: 0pt;
  margin-bottom: 0pt;
  padding-left: 0pt;
  padding-top: 1pt;
  padding-right: 0pt;
  padding-bottom: 1pt;
  text-indent: 0pt
}
p.QQQdecalrouge span.inlineMath {
  color: rgb(255,0,0)
}
p.Body-Math span.Bbb {
  font-size: 109%
}
p.Body-Math span.huge2 {
  font-size: 200%
}
p.Body-Math span.large3 {
  font-size: 145%
}
p.Body-Math span.large2 {
  font-size: 127%
}
p.Body-Math span.QQQPlusgrandtitre1 {
  font-size: 327%
}
p.Body-Math span.QQQcursif {
  font-size: 164%
}
p.Body-Math span.QQQderiveb {
  font-size: 109%
}
p.Body-Math span.QQQgras+italique {
  font-size: 109%
}
p.Body-Math span.QQQmain {
  font-size: 109%
}
p.Body-Math span.QQQpluspetittitre1et2 {
  font-size: 182%
}
p.Body-Math span.QQQrouge {
  font-size: 109%
}
p.Body-Math span.QQQrougepetit {
  font-size: 73%
}
p.Body-Math span.cal {
  font-size: 145%
}
p.Body-Math em {
  font-size: 145%
}
p.Body-Math span.footnotesize {
  font-size: 82%
}
p.Body-Math span.frak {
  font-size: 109%
}
p.Body-Math span.huge1 {
  font-size: 182%
}
p.Body-Math span.it {
  font-size: 109%
}
p.Body-Math span.large1 {
  font-size: 127%
}
p.Body-Math span.normalsize {
  font-size: 109%
}
p.Body-Math span.rm {
  font-size: 109%
}
p.Body-Math span.sc {
  font-size: 100%
}
p.Body-Math span.scriptsize {
  font-size: 73%
}
p.Body-Math span.sf {
  font-size: 127%
}
p.Body-Math span.sl {
  font-size: 127%
}
p.Body-Math span.small {
  font-size: 91%
}
p.Body-Math span.tiny {
  font-size: 55%
}
p.Body-Math span.tt {
  font-size: 73%
}
span.huge2 span.Bbb {
  font-size: 55%
}
span.huge2 span.huge2 {
  font-size: 100%
}
span.huge2 span.large3 {
  font-size: 73%
}
span.huge2 span.large2 {
  font-size: 64%
}
span.huge2 span.QQQPlusgrandtitre1 {
  font-size: 164%
}
span.huge2 span.QQQcursif {
  font-size: 82%
}
span.huge2 span.QQQderiveb {
  font-size: 55%
}
span.huge2 span.QQQgras+italique {
  font-size: 55%
}
span.huge2 span.QQQmain {
  font-size: 55%
}
span.huge2 span.QQQpluspetittitre1et2 {
  font-size: 91%
}
span.huge2 span.QQQrouge {
  font-size: 55%
}
span.huge2 span.QQQrougepetit {
  font-size: 36%
}
span.huge2 span.cal {
  font-size: 73%
}
span.huge2 em {
  font-size: 73%
}
span.huge2 span.footnotesize {
  font-size: 41%
}
span.huge2 span.frak {
  font-size: 55%
}
span.huge2 span.huge1 {
  font-size: 91%
}
span.huge2 span.it {
  font-size: 55%
}
span.huge2 span.large1 {
  font-size: 64%
}
span.huge2 span.normalsize {
  font-size: 55%
}
span.huge2 span.rm {
  font-size: 55%
}
span.huge2 span.sc {
  font-size: 50%
}
span.huge2 span.scriptsize {
  font-size: 36%
}
span.huge2 span.sf {
  font-size: 64%
}
span.huge2 span.sl {
  font-size: 64%
}
span.huge2 span.small {
  font-size: 45%
}
span.huge2 span.tiny {
  font-size: 27%
}
span.huge2 span.tt {
  font-size: 36%
}
span.large3 span.Bbb {
  font-size: 75%
}
span.large3 span.huge2 {
  font-size: 138%
}
span.large3 span.large3 {
  font-size: 100%
}
span.large3 span.large2 {
  font-size: 88%
}
span.large3 span.QQQPlusgrandtitre1 {
  font-size: 225%
}
span.large3 span.QQQcursif {
  font-size: 113%
}
span.large3 span.QQQderiveb {
  font-size: 75%
}
span.large3 span.QQQgras+italique {
  font-size: 75%
}
span.large3 span.QQQmain {
  font-size: 75%
}
span.large3 span.QQQpluspetittitre1et2 {
  font-size: 125%
}
span.large3 span.QQQrouge {
  font-size: 75%
}
span.large3 span.QQQrougepetit {
  font-size: 50%
}
span.large3 span.cal {
  font-size: 100%
}
span.large3 em {
  font-size: 100%
}
span.large3 span.footnotesize {
  font-size: 56%
}
span.large3 span.frak {
  font-size: 75%
}
span.large3 span.huge1 {
  font-size: 125%
}
span.large3 span.it {
  font-size: 75%
}
span.large3 span.large1 {
  font-size: 88%
}
span.large3 span.normalsize {
  font-size: 75%
}
span.large3 span.rm {
  font-size: 75%
}
span.large3 span.sc {
  font-size: 69%
}
span.large3 span.scriptsize {
  font-size: 50%
}
span.large3 span.sf {
  font-size: 88%
}
span.large3 span.sl {
  font-size: 88%
}
span.large3 span.small {
  font-size: 63%
}
span.large3 span.tiny {
  font-size: 38%
}
span.large3 span.tt {
  font-size: 50%
}
span.large2 span.Bbb {
  font-size: 86%
}
span.large2 span.huge2 {
  font-size: 157%
}
span.large2 span.large3 {
  font-size: 114%
}
span.large2 span.large2 {
  font-size: 100%
}
span.large2 span.QQQPlusgrandtitre1 {
  font-size: 257%
}
span.large2 span.QQQcursif {
  font-size: 129%
}
span.large2 span.QQQderiveb {
  font-size: 86%
}
span.large2 span.QQQgras+italique {
  font-size: 86%
}
span.large2 span.QQQmain {
  font-size: 86%
}
span.large2 span.QQQpluspetittitre1et2 {
  font-size: 143%
}
span.large2 span.QQQrouge {
  font-size: 86%
}
span.large2 span.QQQrougepetit {
  font-size: 57%
}
span.large2 span.cal {
  font-size: 114%
}
span.large2 em {
  font-size: 114%
}
span.large2 span.footnotesize {
  font-size: 64%
}
span.large2 span.frak {
  font-size: 86%
}
span.large2 span.huge1 {
  font-size: 143%
}
span.large2 span.it {
  font-size: 86%
}
span.large2 span.large1 {
  font-size: 100%
}
span.large2 span.normalsize {
  font-size: 86%
}
span.large2 span.rm {
  font-size: 86%
}
span.large2 span.sc {
  font-size: 79%
}
span.large2 span.scriptsize {
  font-size: 57%
}
span.large2 span.sf {
  font-size: 100%
}
span.large2 span.sl {
  font-size: 100%
}
span.large2 span.small {
  font-size: 71%
}
span.large2 span.tiny {
  font-size: 43%
}
span.large2 span.tt {
  font-size: 57%
}
span.QQQPlusgrandtitre1 span.Bbb {
  font-size: 33%
}
span.QQQPlusgrandtitre1 span.huge2 {
  font-size: 61%
}
span.QQQPlusgrandtitre1 span.large3 {
  font-size: 44%
}
span.QQQPlusgrandtitre1 span.large2 {
  font-size: 39%
}
span.QQQPlusgrandtitre1 span.QQQPlusgrandtitre1 {
  font-size: 100%
}
span.QQQPlusgrandtitre1 span.QQQcursif {
  font-size: 50%
}
span.QQQPlusgrandtitre1 span.QQQderiveb {
  font-size: 33%
}
span.QQQPlusgrandtitre1 span.QQQgras+italique {
  font-size: 33%
}
span.QQQPlusgrandtitre1 span.QQQmain {
  font-size: 33%
}
span.QQQPlusgrandtitre1 span.QQQpluspetittitre1et2 {
  font-size: 56%
}
span.QQQPlusgrandtitre1 span.QQQrouge {
  font-size: 33%
}
span.QQQPlusgrandtitre1 span.QQQrougepetit {
  font-size: 22%
}
span.QQQPlusgrandtitre1 span.cal {
  font-size: 44%
}
span.QQQPlusgrandtitre1 em {
  font-size: 44%
}
span.QQQPlusgrandtitre1 span.footnotesize {
  font-size: 25%
}
span.QQQPlusgrandtitre1 span.frak {
  font-size: 33%
}
span.QQQPlusgrandtitre1 span.huge1 {
  font-size: 56%
}
span.QQQPlusgrandtitre1 span.it {
  font-size: 33%
}
span.QQQPlusgrandtitre1 span.large1 {
  font-size: 39%
}
span.QQQPlusgrandtitre1 span.normalsize {
  font-size: 33%
}
span.QQQPlusgrandtitre1 span.rm {
  font-size: 33%
}
span.QQQPlusgrandtitre1 span.sc {
  font-size: 31%
}
span.QQQPlusgrandtitre1 span.scriptsize {
  font-size: 22%
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span.QQQPlusgrandtitre1 span.sf {
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