/* Auto-generated KaTeX styles - do not edit */

/* stylelint-disable font-family-no-missing-generic-family-keyword */
@font-face {
  font-family: "KaTeX_AMS";
  src: url(/fonts/katex/KaTeX_AMS-Regular.woff2) format("woff2"), url(/fonts/katex/KaTeX_AMS-Regular.woff) format("woff"), url(/fonts/katex/KaTeX_AMS-Regular.ttf) format("truetype");
  font-weight: normal;
  font-style: normal;
  font-display: block;
}
@font-face {
  font-family: "KaTeX_Caligraphic";
  src: url(/fonts/katex/KaTeX_Caligraphic-Bold.woff2) format("woff2"), url(/fonts/katex/KaTeX_Caligraphic-Bold.woff) format("woff"), url(/fonts/katex/KaTeX_Caligraphic-Bold.ttf) format("truetype");
  font-weight: bold;
  font-style: normal;
  font-display: block;
}
@font-face {
  font-family: "KaTeX_Caligraphic";
  src: url(/fonts/katex/KaTeX_Caligraphic-Regular.woff2) format("woff2"), url(/fonts/katex/KaTeX_Caligraphic-Regular.woff) format("woff"), url(/fonts/katex/KaTeX_Caligraphic-Regular.ttf) format("truetype");
  font-weight: normal;
  font-style: normal;
  font-display: block;
}
@font-face {
  font-family: "KaTeX_Fraktur";
  src: url(/fonts/katex/KaTeX_Fraktur-Bold.woff2) format("woff2"), url(/fonts/katex/KaTeX_Fraktur-Bold.woff) format("woff"), url(/fonts/katex/KaTeX_Fraktur-Bold.ttf) format("truetype");
  font-weight: bold;
  font-style: normal;
  font-display: block;
}
@font-face {
  font-family: "KaTeX_Fraktur";
  src: url(/fonts/katex/KaTeX_Fraktur-Regular.woff2) format("woff2"), url(/fonts/katex/KaTeX_Fraktur-Regular.woff) format("woff"), url(/fonts/katex/KaTeX_Fraktur-Regular.ttf) format("truetype");
  font-weight: normal;
  font-style: normal;
  font-display: block;
}
@font-face {
  font-family: "KaTeX_Main";
  src: url(/fonts/katex/KaTeX_Main-Bold.woff2) format("woff2"), url(/fonts/katex/KaTeX_Main-Bold.woff) format("woff"), url(/fonts/katex/KaTeX_Main-Bold.ttf) format("truetype");
  font-weight: bold;
  font-style: normal;
  font-display: block;
}
@font-face {
  font-family: "KaTeX_Main";
  src: url(/fonts/katex/KaTeX_Main-BoldItalic.woff2) format("woff2"), url(/fonts/katex/KaTeX_Main-BoldItalic.woff) format("woff"), url(/fonts/katex/KaTeX_Main-BoldItalic.ttf) format("truetype");
  font-weight: bold;
  font-style: italic;
  font-display: block;
}
@font-face {
  font-family: "KaTeX_Main";
  src: url(/fonts/katex/KaTeX_Main-Italic.woff2) format("woff2"), url(/fonts/katex/KaTeX_Main-Italic.woff) format("woff"), url(/fonts/katex/KaTeX_Main-Italic.ttf) format("truetype");
  font-weight: normal;
  font-style: italic;
  font-display: block;
}
@font-face {
  font-family: "KaTeX_Main";
  src: url(/fonts/katex/KaTeX_Main-Regular.woff2) format("woff2"), url(/fonts/katex/KaTeX_Main-Regular.woff) format("woff"), url(/fonts/katex/KaTeX_Main-Regular.ttf) format("truetype");
  font-weight: normal;
  font-style: normal;
  font-display: block;
}
@font-face {
  font-family: "KaTeX_Math";
  src: url(/fonts/katex/KaTeX_Math-BoldItalic.woff2) format("woff2"), url(/fonts/katex/KaTeX_Math-BoldItalic.woff) format("woff"), url(/fonts/katex/KaTeX_Math-BoldItalic.ttf) format("truetype");
  font-weight: bold;
  font-style: italic;
  font-display: block;
}
@font-face {
  font-family: "KaTeX_Math";
  src: url(/fonts/katex/KaTeX_Math-Italic.woff2) format("woff2"), url(/fonts/katex/KaTeX_Math-Italic.woff) format("woff"), url(/fonts/katex/KaTeX_Math-Italic.ttf) format("truetype");
  font-weight: normal;
  font-style: italic;
  font-display: block;
}
@font-face {
  font-family: "KaTeX_SansSerif";
  src: url(/fonts/katex/KaTeX_SansSerif-Bold.woff2) format("woff2"), url(/fonts/katex/KaTeX_SansSerif-Bold.woff) format("woff"), url(/fonts/katex/KaTeX_SansSerif-Bold.ttf) format("truetype");
  font-weight: bold;
  font-style: normal;
  font-display: block;
}
@font-face {
  font-family: "KaTeX_SansSerif";
  src: url(/fonts/katex/KaTeX_SansSerif-Italic.woff2) format("woff2"), url(/fonts/katex/KaTeX_SansSerif-Italic.woff) format("woff"), url(/fonts/katex/KaTeX_SansSerif-Italic.ttf) format("truetype");
  font-weight: normal;
  font-style: italic;
  font-display: block;
}
@font-face {
  font-family: "KaTeX_SansSerif";
  src: url(/fonts/katex/KaTeX_SansSerif-Regular.woff2) format("woff2"), url(/fonts/katex/KaTeX_SansSerif-Regular.woff) format("woff"), url(/fonts/katex/KaTeX_SansSerif-Regular.ttf) format("truetype");
  font-weight: normal;
  font-style: normal;
  font-display: block;
}
@font-face {
  font-family: "KaTeX_Script";
  src: url(/fonts/katex/KaTeX_Script-Regular.woff2) format("woff2"), url(/fonts/katex/KaTeX_Script-Regular.woff) format("woff"), url(/fonts/katex/KaTeX_Script-Regular.ttf) format("truetype");
  font-weight: normal;
  font-style: normal;
  font-display: block;
}
@font-face {
  font-family: "KaTeX_Size1";
  src: url(/fonts/katex/KaTeX_Size1-Regular.woff2) format("woff2"), url(/fonts/katex/KaTeX_Size1-Regular.woff) format("woff"), url(/fonts/katex/KaTeX_Size1-Regular.ttf) format("truetype");
  font-weight: normal;
  font-style: normal;
  font-display: block;
}
@font-face {
  font-family: "KaTeX_Size2";
  src: url(/fonts/katex/KaTeX_Size2-Regular.woff2) format("woff2"), url(/fonts/katex/KaTeX_Size2-Regular.woff) format("woff"), url(/fonts/katex/KaTeX_Size2-Regular.ttf) format("truetype");
  font-weight: normal;
  font-style: normal;
  font-display: block;
}
@font-face {
  font-family: "KaTeX_Size3";
  src: url(/fonts/katex/KaTeX_Size3-Regular.woff2) format("woff2"), url(/fonts/katex/KaTeX_Size3-Regular.woff) format("woff"), url(/fonts/katex/KaTeX_Size3-Regular.ttf) format("truetype");
  font-weight: normal;
  font-style: normal;
  font-display: block;
}
@font-face {
  font-family: "KaTeX_Size4";
  src: url(/fonts/katex/KaTeX_Size4-Regular.woff2) format("woff2"), url(/fonts/katex/KaTeX_Size4-Regular.woff) format("woff"), url(/fonts/katex/KaTeX_Size4-Regular.ttf) format("truetype");
  font-weight: normal;
  font-style: normal;
  font-display: block;
}
@font-face {
  font-family: "KaTeX_Typewriter";
  src: url(/fonts/katex/KaTeX_Typewriter-Regular.woff2) format("woff2"), url(/fonts/katex/KaTeX_Typewriter-Regular.woff) format("woff"), url(/fonts/katex/KaTeX_Typewriter-Regular.ttf) format("truetype");
  font-weight: normal;
  font-style: normal;
  font-display: block;
}
/* stylelint-disable font-family-no-missing-generic-family-keyword */
.katex {
  font: normal 1.21em KaTeX_Main, Times New Roman, serif;
  line-height: 1.2;
  position: relative;
  text-indent: 0;
  text-rendering: auto;
}
.katex * {
  -ms-high-contrast-adjust: none !important;
}
.katex * {
  border-color: currentColor;
}
.katex .katex-version::after {
  content: "0.16.47";
}
.katex .katex-mathml {
  /* Accessibility hack to only show to screen readers
   Found at: http://a11yproject.com/posts/how-to-hide-content/ */
  position: absolute;
  -webkit-clip-path: inset(50%);
          clip-path: inset(50%);
  padding: 0;
  border: 0;
  height: 1px;
  width: 1px;
  overflow: hidden;
}
.katex .katex-html {
  /* \newline is an empty block at top level, between .base elements */
}
.katex .katex-html > .newline {
  display: block;
}
.katex .base {
  position: relative;
  display: inline-block;
  white-space: nowrap;
  width: -webkit-min-content;
  width: -moz-min-content;
  width: min-content;
}
.katex .strut {
  display: inline-block;
}
.katex .textbf {
  font-weight: bold;
}
.katex .textit {
  font-style: italic;
}
.katex .textrm {
  font-family: KaTeX_Main;
}
.katex .textsf {
  font-family: KaTeX_SansSerif;
}
.katex .texttt {
  font-family: KaTeX_Typewriter;
}
.katex .mathnormal {
  font-family: KaTeX_Math;
  font-style: italic;
}
.katex .mathit {
  font-family: KaTeX_Main;
  font-style: italic;
}
.katex .mathrm {
  font-style: normal;
}
.katex .mathbf {
  font-family: KaTeX_Main;
  font-weight: bold;
}
.katex .boldsymbol {
  font-family: KaTeX_Math;
  font-weight: bold;
  font-style: italic;
}
.katex .amsrm {
  font-family: KaTeX_AMS;
}
.katex .mathbb,
.katex .textbb {
  font-family: KaTeX_AMS;
}
.katex .mathcal {
  font-family: KaTeX_Caligraphic;
}
.katex .mathfrak,
.katex .textfrak {
  font-family: KaTeX_Fraktur;
}
.katex .mathboldfrak,
.katex .textboldfrak {
  font-family: KaTeX_Fraktur;
  font-weight: bold;
}
.katex .mathtt {
  font-family: KaTeX_Typewriter;
}
.katex .mathscr,
.katex .textscr {
  font-family: KaTeX_Script;
}
.katex .mathsf,
.katex .textsf {
  font-family: KaTeX_SansSerif;
}
.katex .mathboldsf,
.katex .textboldsf {
  font-family: KaTeX_SansSerif;
  font-weight: bold;
}
.katex .mathsfit,
.katex .mathitsf,
.katex .textitsf {
  font-family: KaTeX_SansSerif;
  font-style: italic;
}
.katex .mainrm {
  font-family: KaTeX_Main;
  font-style: normal;
}
.katex .vlist-t {
  display: inline-table;
  table-layout: fixed;
  border-collapse: collapse;
}
.katex .vlist-r {
  display: table-row;
}
.katex .vlist {
  display: table-cell;
  vertical-align: bottom;
  position: relative;
}
.katex .vlist > span {
  display: block;
  height: 0;
  position: relative;
}
.katex .vlist > span > span {
  display: inline-block;
}
.katex .vlist > span > .pstrut {
  overflow: hidden;
  width: 0;
}
.katex .vlist-t2 {
  margin-right: -2px;
}
.katex .vlist-s {
  display: table-cell;
  vertical-align: bottom;
  font-size: 1px;
  width: 2px;
  min-width: 2px;
}
.katex .vbox {
  display: inline-flex;
  flex-direction: column;
  align-items: baseline;
}
.katex .hbox {
  display: inline-flex;
  flex-direction: row;
  width: 100%;
}
.katex .thinbox {
  display: inline-flex;
  flex-direction: row;
  width: 0;
  max-width: 0;
}
.katex .msupsub {
  text-align: left;
}
.katex .mfrac > span > span {
  text-align: center;
}
.katex .mfrac .frac-line {
  display: inline-block;
  width: 100%;
  border-bottom-style: solid;
}
.katex .mfrac .frac-line,
.katex .overline .overline-line,
.katex .underline .underline-line,
.katex .hline,
.katex .hdashline,
.katex .rule {
  min-height: 1px;
}
.katex .mspace {
  display: inline-block;
}
.katex .smash {
  display: inline;
  line-height: 0;
}
.katex .llap,
.katex .rlap,
.katex .clap {
  width: 0;
  position: relative;
}
.katex .llap > .inner,
.katex .rlap > .inner,
.katex .clap > .inner {
  position: absolute;
}
.katex .llap > .fix,
.katex .rlap > .fix,
.katex .clap > .fix {
  display: inline-block;
}
.katex .llap > .inner {
  right: 0;
}
.katex .rlap > .inner,
.katex .clap > .inner {
  left: 0;
}
.katex .clap > .inner > span {
  margin-left: -50%;
  margin-right: 50%;
}
.katex .rule {
  display: inline-block;
  border: solid 0;
  position: relative;
}
.katex .overline .overline-line,
.katex .underline .underline-line,
.katex .hline {
  display: inline-block;
  width: 100%;
  border-bottom-style: solid;
}
.katex .hdashline {
  display: inline-block;
  width: 100%;
  border-bottom-style: dashed;
}
.katex .sqrt > .root {
  /* These values are taken from the definition of `\r@@t`,
   `\mkern 5mu` and `\mkern -10mu`. */
  /* stylelint-disable-next-line declaration-property-value-no-unknown */
  margin-left: 0.2777777778em;
  /* stylelint-disable-next-line declaration-property-value-no-unknown */
  margin-right: -0.5555555556em;
}
.katex .sizing.reset-size1.size1,
.katex .fontsize-ensurer.reset-size1.size1 {
  /* stylelint-disable-next-line */
  font-size: 1em;
}
.katex .sizing.reset-size1.size2,
.katex .fontsize-ensurer.reset-size1.size2 {
  /* stylelint-disable-next-line */
  font-size: 1.2em;
}
.katex .sizing.reset-size1.size3,
.katex .fontsize-ensurer.reset-size1.size3 {
  /* stylelint-disable-next-line */
  font-size: 1.4em;
}
.katex .sizing.reset-size1.size4,
.katex .fontsize-ensurer.reset-size1.size4 {
  /* stylelint-disable-next-line */
  font-size: 1.6em;
}
.katex .sizing.reset-size1.size5,
.katex .fontsize-ensurer.reset-size1.size5 {
  /* stylelint-disable-next-line */
  font-size: 1.8em;
}
.katex .sizing.reset-size1.size6,
.katex .fontsize-ensurer.reset-size1.size6 {
  /* stylelint-disable-next-line */
  font-size: 2em;
}
.katex .sizing.reset-size1.size7,
.katex .fontsize-ensurer.reset-size1.size7 {
  /* stylelint-disable-next-line */
  font-size: 2.4em;
}
.katex .sizing.reset-size1.size8,
.katex .fontsize-ensurer.reset-size1.size8 {
  /* stylelint-disable-next-line */
  font-size: 2.88em;
}
.katex .sizing.reset-size1.size9,
.katex .fontsize-ensurer.reset-size1.size9 {
  /* stylelint-disable-next-line */
  font-size: 3.456em;
}
.katex .sizing.reset-size1.size10,
.katex .fontsize-ensurer.reset-size1.size10 {
  /* stylelint-disable-next-line */
  font-size: 4.148em;
}
.katex .sizing.reset-size1.size11,
.katex .fontsize-ensurer.reset-size1.size11 {
  /* stylelint-disable-next-line */
  font-size: 4.976em;
}
.katex .sizing.reset-size2.size1,
.katex .fontsize-ensurer.reset-size2.size1 {
  /* stylelint-disable-next-line */
  font-size: 0.8333333333em;
}
.katex .sizing.reset-size2.size2,
.katex .fontsize-ensurer.reset-size2.size2 {
  /* stylelint-disable-next-line */
  font-size: 1em;
}
.katex .sizing.reset-size2.size3,
.katex .fontsize-ensurer.reset-size2.size3 {
  /* stylelint-disable-next-line */
  font-size: 1.1666666667em;
}
.katex .sizing.reset-size2.size4,
.katex .fontsize-ensurer.reset-size2.size4 {
  /* stylelint-disable-next-line */
  font-size: 1.3333333333em;
}
.katex .sizing.reset-size2.size5,
.katex .fontsize-ensurer.reset-size2.size5 {
  /* stylelint-disable-next-line */
  font-size: 1.5em;
}
.katex .sizing.reset-size2.size6,
.katex .fontsize-ensurer.reset-size2.size6 {
  /* stylelint-disable-next-line */
  font-size: 1.6666666667em;
}
.katex .sizing.reset-size2.size7,
.katex .fontsize-ensurer.reset-size2.size7 {
  /* stylelint-disable-next-line */
  font-size: 2em;
}
.katex .sizing.reset-size2.size8,
.katex .fontsize-ensurer.reset-size2.size8 {
  /* stylelint-disable-next-line */
  font-size: 2.4em;
}
.katex .sizing.reset-size2.size9,
.katex .fontsize-ensurer.reset-size2.size9 {
  /* stylelint-disable-next-line */
  font-size: 2.88em;
}
.katex .sizing.reset-size2.size10,
.katex .fontsize-ensurer.reset-size2.size10 {
  /* stylelint-disable-next-line */
  font-size: 3.4566666667em;
}
.katex .sizing.reset-size2.size11,
.katex .fontsize-ensurer.reset-size2.size11 {
  /* stylelint-disable-next-line */
  font-size: 4.1466666667em;
}
.katex .sizing.reset-size3.size1,
.katex .fontsize-ensurer.reset-size3.size1 {
  /* stylelint-disable-next-line */
  font-size: 0.7142857143em;
}
.katex .sizing.reset-size3.size2,
.katex .fontsize-ensurer.reset-size3.size2 {
  /* stylelint-disable-next-line */
  font-size: 0.8571428571em;
}
.katex .sizing.reset-size3.size3,
.katex .fontsize-ensurer.reset-size3.size3 {
  /* stylelint-disable-next-line */
  font-size: 1em;
}
.katex .sizing.reset-size3.size4,
.katex .fontsize-ensurer.reset-size3.size4 {
  /* stylelint-disable-next-line */
  font-size: 1.1428571429em;
}
.katex .sizing.reset-size3.size5,
.katex .fontsize-ensurer.reset-size3.size5 {
  /* stylelint-disable-next-line */
  font-size: 1.2857142857em;
}
.katex .sizing.reset-size3.size6,
.katex .fontsize-ensurer.reset-size3.size6 {
  /* stylelint-disable-next-line */
  font-size: 1.4285714286em;
}
.katex .sizing.reset-size3.size7,
.katex .fontsize-ensurer.reset-size3.size7 {
  /* stylelint-disable-next-line */
  font-size: 1.7142857143em;
}
.katex .sizing.reset-size3.size8,
.katex .fontsize-ensurer.reset-size3.size8 {
  /* stylelint-disable-next-line */
  font-size: 2.0571428571em;
}
.katex .sizing.reset-size3.size9,
.katex .fontsize-ensurer.reset-size3.size9 {
  /* stylelint-disable-next-line */
  font-size: 2.4685714286em;
}
.katex .sizing.reset-size3.size10,
.katex .fontsize-ensurer.reset-size3.size10 {
  /* stylelint-disable-next-line */
  font-size: 2.9628571429em;
}
.katex .sizing.reset-size3.size11,
.katex .fontsize-ensurer.reset-size3.size11 {
  /* stylelint-disable-next-line */
  font-size: 3.5542857143em;
}
.katex .sizing.reset-size4.size1,
.katex .fontsize-ensurer.reset-size4.size1 {
  /* stylelint-disable-next-line */
  font-size: 0.625em;
}
.katex .sizing.reset-size4.size2,
.katex .fontsize-ensurer.reset-size4.size2 {
  /* stylelint-disable-next-line */
  font-size: 0.75em;
}
.katex .sizing.reset-size4.size3,
.katex .fontsize-ensurer.reset-size4.size3 {
  /* stylelint-disable-next-line */
  font-size: 0.875em;
}
.katex .sizing.reset-size4.size4,
.katex .fontsize-ensurer.reset-size4.size4 {
  /* stylelint-disable-next-line */
  font-size: 1em;
}
.katex .sizing.reset-size4.size5,
.katex .fontsize-ensurer.reset-size4.size5 {
  /* stylelint-disable-next-line */
  font-size: 1.125em;
}
.katex .sizing.reset-size4.size6,
.katex .fontsize-ensurer.reset-size4.size6 {
  /* stylelint-disable-next-line */
  font-size: 1.25em;
}
.katex .sizing.reset-size4.size7,
.katex .fontsize-ensurer.reset-size4.size7 {
  /* stylelint-disable-next-line */
  font-size: 1.5em;
}
.katex .sizing.reset-size4.size8,
.katex .fontsize-ensurer.reset-size4.size8 {
  /* stylelint-disable-next-line */
  font-size: 1.8em;
}
.katex .sizing.reset-size4.size9,
.katex .fontsize-ensurer.reset-size4.size9 {
  /* stylelint-disable-next-line */
  font-size: 2.16em;
}
.katex .sizing.reset-size4.size10,
.katex .fontsize-ensurer.reset-size4.size10 {
  /* stylelint-disable-next-line */
  font-size: 2.5925em;
}
.katex .sizing.reset-size4.size11,
.katex .fontsize-ensurer.reset-size4.size11 {
  /* stylelint-disable-next-line */
  font-size: 3.11em;
}
.katex .sizing.reset-size5.size1,
.katex .fontsize-ensurer.reset-size5.size1 {
  /* stylelint-disable-next-line */
  font-size: 0.5555555556em;
}
.katex .sizing.reset-size5.size2,
.katex .fontsize-ensurer.reset-size5.size2 {
  /* stylelint-disable-next-line */
  font-size: 0.6666666667em;
}
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