@page {
  size: 8.5in 11in;
  margin: 0.75in 0.75in 1in 0.75in;
  
  @footnotes {
    columns: 2;
    margin-top: 2em;
    border-top: 0.5px solid #000000;
    padding-top: 1em;
  }
}

body {
  -webkit-column-count: 2;
  -moz-column-count: 2;
  column-count: 2;
  -webkit-column-gap: balance;
  -moz-column-gap: balance;
  column-gap: balance;
  -webkit-column-gap: 0.33in;
  -moz-column-gap: 0.33in;
  column-gap: 0.33in;
  counter-reset: figure;
  counter-reset: table;
}
.footnote {
  float: prince-column-footnote;
}
caption {
  caption-side: top;
}
html {
  font-size: 9pt;
}
body {
  font-family: "Times New Roman", Times, serif;
  text-align: justify;
  hyphens: auto;
}
h1,
h2,
h3,
h4,
h5,
h6 {
  -webkit-column-break-after: avoid;
  column-break-after: avoid;
  break-after: avoid;
  font-family: "Times New Roman", Times, serif;
  font-weight: bold;
  hyphens: none;
}
h1:not(.counter-skip):before,
h2:not(.counter-skip):before,
h3:not(.counter-skip):before,
h4:not(.counter-skip):before,
h5:not(.counter-skip):before,
h6:not(.counter-skip):before {
  margin-right: 0.5em;
}
h1 {
  font-size: 1.33333333em;
}
h2 {
  font-size: 1.33333333em;
}
h3 {
  font-size: 1.22222222em;
}
h4 {
  font-size: 1.22222222em;
}
h5 {
  font-size: 1.22222222em;
}
h6 {
  font-size: 1.22222222em;
}
p {
  margin: 0 0 0.5em;
  line-height: 1.17;
  text-indent: 0;
}
small {
  font-size: 0.77777778em;
}
code {
  font-family: Courier, monospace;
  font-size: 0.88888889em;
  font-weight: 400;
  white-space: nowrap;
}
q:before {
  content: "“";
}
q:after {
  content: "”";
}
q > q:before {
  content: "‘";
}
q > q:after {
  content: "’";
}
table {
  width: 100%;
  margin: 1.667em 0 1em;
  border-collapse: collapse;
}
th,
td {
  padding: 0.333em;
  border: 0.5px solid #000000;
  text-align: center;
}
caption {
  margin: 0 0 4pt;
  font-weight: bold;
}
figure {
  margin: 1.333em 0 2.333em;
  text-align: center;
}
figcaption {
  font-weight: bold;
}
.footnote {
  margin-left: 0.333em;
  padding-left: 0.667em;
}
.footnote::footnote-call {
  vertical-align: super;
  line-height: none;
  font-size: 66%;
}
.footnote::footnote-marker {
  font-size: 66%;
  footnote-style-position: inside;
}
cite {
  display: block;
  position: relative;
  margin-left: 2.5em;
  -webkit-column-break-inside: avoid;
  column-break-inside: avoid;
  break-inside: avoid;
  font-style: normal;
  text-align: left;
}
cite:before {
  position: absolute;
  display: inline-block;
  margin-left: -2.5em;
}
cite a {
  text-decoration: none;
}
a[href^="#"] {
  color: inherit;
  text-decoration: none;
}
@page {
  
}
body > :first-child {
  counter-reset: page 1;
}
h1:not(.counter-skip) {
  counter-increment: section;
}
h2:not(.counter-skip) {
  counter-increment: subsection;
}
h3:not(.counter-skip) {
  counter-increment: subsubsection;
}
h4:not(.counter-skip) {
  counter-increment: subsubsection;
}
h5:not(.counter-skip) {
  counter-increment: subsubsubsection;
}
h6:not(.counter-skip) {
  counter-increment: subsubsubsubsection;
}
h1.counter-reset {
  counter-reset: section;
}
h2.counter-reset {
  counter-reset: subsection;
}
h3.counter-reset {
  counter-reset: subsubsection;
}
h4.counter-reset {
  counter-reset: subsubsection;
}
h5.counter-reset {
  counter-reset: subsubsubsection;
}
h6.counter-reset {
  counter-reset: subsubsubsubsection;
}
 h1:not(.counter-skip):before {
  content: ""  counter(section, decimal) "";
}
 h2:not(.counter-skip):before {
  content: ""  counter(section, decimal) '.' counter(subsection, decimal) "";
}
 h3:not(.counter-skip):before {
  content: ""  counter(section, decimal) '.' counter(subsection, decimal) '.' counter(subsubsection, decimal) "";
}
 h4:not(.counter-skip):before {
  content: ""  counter(section, decimal) '.' counter(subsection, decimal) '.' counter(subsubsection, decimal) '.' counter(subsubsection, decimal) "";
}
 h5:not(.counter-skip):before {
  content: ""  counter(section, decimal) '.' counter(subsection, decimal) '.' counter(subsubsection, decimal) '.' counter(subsubsection, decimal) '.' counter(subsubsubsection, decimal) "";
}
 h6:not(.counter-skip):before {
  content: ""  counter(section, decimal) '.' counter(subsection, decimal) '.' counter(subsubsection, decimal) '.' counter(subsubsection, decimal) '.' counter(subsubsubsection, decimal) '.' counter(subsubsubsubsection, decimal) "";
}
table {
  counter-increment: table;
}
caption:before {
  content: "Table " counter(table) ". ";
}
figure {
  counter-increment: figure;
}
figcaption:before {
  content: "Figure " counter(figure) ". ";
}
.footnote {
  counter-increment: footnote;
}
.footnote::footnote-call {
  content: counter(footnote);
}
.footnote::footnote-marker {
  content: counter(footnote);
}
a[href^="#"] {
  content: target-counter(attr(href, url), reference);
}
a[href^="#"]:before {
  content: "[";
}
a[href^="#"]:after {
  content: "]";
}
a[href^="#"].section {
  content: target-counter(attr(href, url), section);
}
a[href^="#"].section:before {
  content: "";
}
a[href^="#"].section:after {
  content: "";
}
a[href^="#"].subsection {
  content: target-counter(attr(href, url), section) "." target-counter(attr(href, url), subsection);
}
a[href^="#"].subsection:before {
  content: "";
}
a[href^="#"].subsection:after {
  content: "";
}
a[href^="#"].subsubsection {
  content: target-counter(attr(href, url), section) "." target-counter(attr(href, url), subsection) "." target-counter(attr(href, url), subsubsection);
}
a[href^="#"].subsubsection:before {
  content: "";
}
a[href^="#"].subsubsection:after {
  content: "";
}
a[href^="#"].subsubsubsection {
  content: target-counter(attr(href, url), section) "." target-counter(attr(href, url), subsection) "." target-counter(attr(href, url), subsubsection) "." target-counter(attr(href, url), subsubsubsection);
}
a[href^="#"].subsubsubsection:before {
  content: "";
}
a[href^="#"].subsubsubsection:after {
  content: "";
}
a[href^="#"].figure {
  content: target-counter(attr(href, url), figure);
}
a[href^="#"].figure:before {
  content: "Figure ";
}
a[href^="#"].figure:after {
  content: "";
}
a[href^="#"].table {
  content: target-counter(attr(href, url), table);
}
a[href^="#"].table:before {
  content: "Table ";
}
a[href^="#"].table:after {
  content: "";
}
.cites > :not(:first-child):before {
  content: none;
}
.cites > :not(:last-child):after {
  content: ", ";
}
cite {
  counter-increment: reference;
}
cite:before {
  content: "[" counter(reference) "]";
}
.col-1 {
  -webkit-column-count: 1;
  -moz-column-count: 1;
  column-count: 1;
}
.col-2 {
  -webkit-column-count: 2;
  -moz-column-count: 2;
  column-count: 2;
}
.col-3 {
  -webkit-column-count: 3;
  -moz-column-count: 3;
  column-count: 3;
}
.col-4 {
  -webkit-column-count: 4;
  -moz-column-count: 4;
  column-count: 4;
}
.col-span {
  -webkit-column-span: all;
  -moz-column-span: all;
  column-span: all;
}
.page-break-after {
  -webkit-column-break-after: always;
  column-break-after: always;
  break-after: always;
}
.page-break-before {
  -webkit-column-break-after: always;
  column-break-after: always;
  break-after: always;
}
.col-break-after {
  -webkit-column-break-after: always;
  column-break-after: always;
  break-after: always;
}
.col-break-before {
  -webkit-column-break-after: always;
  column-break-after: always;
  break-after: always;
}
.counter-skip h1:before,
.counter-skip h2:before,
.counter-skip h3:before,
.counter-skip h4:before,
.counter-skip h5:before,
.counter-skip h6:before,
.counter-skip:before {
  margin-right: 0 !important;
  content: "" !important;
}
h1,
h2 {
  margin: 1.33333333em 0 0 0;
}
h1 {
  text-transform: uppercase;
}
h1:not(.counter-skip):before {
  content: "" counter(section) ".";
}
h1 + h2,
h1 + * > h2:first-child {
  margin-top: 0;
}
h3,
h4 {
  margin: 1.33333333em 0 0 0;
  font-style: italic;
  font-weight: normal;
}
header {
  column-span: all;
  margin-bottom: 4em;
  font-family: Helvetica, sans-serif;
}
header h2 {
  margin: 2em 0;
  font-size: 1.333em;
  font-weight: normal;
  text-align: center;
}
.title {
  margin: 0 0 0.333em;
  font-family: Helvetica, sans-serif;
  font-size: 18pt;
  text-align: center;
  text-transform: none;
  -webkit-column-span: all;
  -moz-column-span: all;
  column-span: all;
}
.authors {
  -webkit-column-gap: 0;
  -moz-column-gap: 0;
  column-gap: 0;
}
.authors + .authors {
  margin-top: 6pt;
}
.author {
  -webkit-column-break-inside: avoid;
  column-break-inside: avoid;
  break-inside: avoid;
  -webkit-column-break-after: always;
  column-break-after: always;
  break-after: always;
  text-align: center;
  font-size: 10pt;
}
.author a {
  color: inherit;
  text-decoration: none;
}
.author > :first-child,
.author > :last-child {
  font-size: 12pt;
}
.copyright {
  height: 1.5in;
  float: column-bottom;
  font-size: 8pt;
}
.copyright > * {
  position: absolute;
  left: 0;
  bottom: 0;
  width: 3.333in;
}
cite {
  margin-bottom: 0.333em;
  text-align: left;
}
cite a {
  text-decoration: none;
}
.appendix {
  counter-reset: section;
}
.appendix h1:not(.counter-skip):before {
  content: "" counter(section, upper-alpha) "";
}
.appendix h2:not(.counter-skip):before {
  content: "" counter(section, upper-alpha) '.' counter(subsection, decimal) "";
}
.appendix h3:not(.counter-skip):before {
  content: "" counter(section, upper-alpha) '.' counter(subsection, decimal) '.' counter(subsubsection, decimal) "";
}
.equation {
  margin: 3pt 0;
  text-align: center;
}
.equation:not(.displaymath) {
  position: relative;
  counter-increment: equation;
}
.equation:not(.displaymath):after {
  content: "(" counter(equation) ")";
  position: absolute;
  top: 50%;
  right: 0;
  bottom: 50%;
  line-height: 0;
}
.theorem,
.proof,
.definition {
  margin: 12pt 0;
}
.theorem:before,
.proof:before,
.definition:before {
  margin-left: 9pt;
}
.theorem {
  font-style: italic;
}
.theorem:before {
  counter-increment: theorem;
  content: "Theorem " counter(theorem) ". ";
  font-style: normal;
  font-variant: small-caps;
}
.proof:before {
  counter-increment: proof;
  content: "Proof " counter(proof) ". ";
  font-style: normal;
  font-variant: small-caps;
}
.definition:before {
  counter-increment: definition;
  content: "Definition " counter(definition) ". ";
  font-style: italic;
}

.sr-only {
  position: absolute;
  width: 1px;
  height: 1px;
  padding: 0;
  margin: -1px;
  overflow: hidden;
  clip: rect(0,0,0,0);
  border: 0;
}

@media screen {
  html {
    font-size: 12pt;
  }

  body {
    column-count: 1;
    max-width: 800px;
    margin: auto;
    margin-top: 40px;
  }

  p, li {
    line-height: 1.5;
  }

  h1.title {
    margin-bottom: 20px;
    font-size: 24pt;
  }

  .author {
    font-size: 12pt;
  }

  .author > :first-child,
  .author > :last-child {
    font-size: 14pt;
  }

  .copyright {
    display: none;
  }
}
