@font-face {
  font-family: KaTeX_AMS;
  font-style: normal;
  font-weight: 400;
  src: url(fonts/KaTeX_AMS-Regular.woff2) format("woff2"), url(fonts/KaTeX_AMS-Regular.woff) format("woff"), url(fonts/KaTeX_AMS-Regular.ttf) format("truetype")
}

@font-face {
  font-family: KaTeX_Caligraphic;
  font-style: normal;
  font-weight: 700;
  src: url(fonts/KaTeX_Caligraphic-Bold.woff2) format("woff2"), url(fonts/KaTeX_Caligraphic-Bold.woff) format("woff"), url(fonts/KaTeX_Caligraphic-Bold.ttf) format("truetype")
}

@font-face {
  font-family: KaTeX_Caligraphic;
  font-style: normal;
  font-weight: 400;
  src: url(fonts/KaTeX_Caligraphic-Regular.woff2) format("woff2"), url(fonts/KaTeX_Caligraphic-Regular.woff) format("woff"), url(fonts/KaTeX_Caligraphic-Regular.ttf) format("truetype")
}

@font-face {
  font-family: KaTeX_Fraktur;
  font-style: normal;
  font-weight: 700;
  src: url(fonts/KaTeX_Fraktur-Bold.woff2) format("woff2"), url(fonts/KaTeX_Fraktur-Bold.woff) format("woff"), url(fonts/KaTeX_Fraktur-Bold.ttf) format("truetype")
}

@font-face {
  font-family: KaTeX_Fraktur;
  font-style: normal;
  font-weight: 400;
  src: url(fonts/KaTeX_Fraktur-Regular.woff2) format("woff2"), url(fonts/KaTeX_Fraktur-Regular.woff) format("woff"), url(fonts/KaTeX_Fraktur-Regular.ttf) format("truetype")
}

@font-face {
  font-family: KaTeX_Main;
  font-style: normal;
  font-weight: 700;
  src: url(fonts/KaTeX_Main-Bold.woff2) format("woff2"), url(fonts/KaTeX_Main-Bold.woff) format("woff"), url(fonts/KaTeX_Main-Bold.ttf) format("truetype")
}

@font-face {
  font-family: KaTeX_Main;
  font-style: italic;
  font-weight: 700;
  src: url(fonts/KaTeX_Main-BoldItalic.woff2) format("woff2"), url(fonts/KaTeX_Main-BoldItalic.woff) format("woff"), url(fonts/KaTeX_Main-BoldItalic.ttf) format("truetype")
}

@font-face {
  font-family: KaTeX_Main;
  font-style: italic;
  font-weight: 400;
  src: url(fonts/KaTeX_Main-Italic.woff2) format("woff2"), url(fonts/KaTeX_Main-Italic.woff) format("woff"), url(fonts/KaTeX_Main-Italic.ttf) format("truetype")
}

@font-face {
  font-family: KaTeX_Main;
  font-style: normal;
  font-weight: 400;
  src: url(fonts/KaTeX_Main-Regular.woff2) format("woff2"), url(fonts/KaTeX_Main-Regular.woff) format("woff"), url(fonts/KaTeX_Main-Regular.ttf) format("truetype")
}

@font-face {
  font-family: KaTeX_Math;
  font-style: italic;
  font-weight: 700;
  src: url(fonts/KaTeX_Math-BoldItalic.woff2) format("woff2"), url(fonts/KaTeX_Math-BoldItalic.woff) format("woff"), url(fonts/KaTeX_Math-BoldItalic.ttf) format("truetype")
}

@font-face {
  font-family: KaTeX_Math;
  font-style: italic;
  font-weight: 400;
  src: url(fonts/KaTeX_Math-Italic.woff2) format("woff2"), url(fonts/KaTeX_Math-Italic.woff) format("woff"), url(fonts/KaTeX_Math-Italic.ttf) format("truetype")
}

@font-face {
  font-family: "KaTeX_SansSerif";
  font-style: normal;
  font-weight: 700;
  src: url(fonts/KaTeX_SansSerif-Bold.woff2) format("woff2"), url(fonts/KaTeX_SansSerif-Bold.woff) format("woff"), url(fonts/KaTeX_SansSerif-Bold.ttf) format("truetype")
}

@font-face {
  font-family: "KaTeX_SansSerif";
  font-style: italic;
  font-weight: 400;
  src: url(fonts/KaTeX_SansSerif-Italic.woff2) format("woff2"), url(fonts/KaTeX_SansSerif-Italic.woff) format("woff"), url(fonts/KaTeX_SansSerif-Italic.ttf) format("truetype")
}

@font-face {
  font-family: "KaTeX_SansSerif";
  font-style: normal;
  font-weight: 400;
  src: url(fonts/KaTeX_SansSerif-Regular.woff2) format("woff2"), url(fonts/KaTeX_SansSerif-Regular.woff) format("woff"), url(fonts/KaTeX_SansSerif-Regular.ttf) format("truetype")
}

@font-face {
  font-family: KaTeX_Script;
  font-style: normal;
  font-weight: 400;
  src: url(fonts/KaTeX_Script-Regular.woff2) format("woff2"), url(fonts/KaTeX_Script-Regular.woff) format("woff"), url(fonts/KaTeX_Script-Regular.ttf) format("truetype")
}

@font-face {
  font-family: KaTeX_Size1;
  font-style: normal;
  font-weight: 400;
  src: url(fonts/KaTeX_Size1-Regular.woff2) format("woff2"), url(fonts/KaTeX_Size1-Regular.woff) format("woff"), url(fonts/KaTeX_Size1-Regular.ttf) format("truetype")
}

@font-face {
  font-family: KaTeX_Size2;
  font-style: normal;
  font-weight: 400;
  src: url(fonts/KaTeX_Size2-Regular.woff2) format("woff2"), url(fonts/KaTeX_Size2-Regular.woff) format("woff"), url(fonts/KaTeX_Size2-Regular.ttf) format("truetype")
}

@font-face {
  font-family: KaTeX_Size3;
  font-style: normal;
  font-weight: 400;
  src: url(fonts/KaTeX_Size3-Regular.woff2) format("woff2"), url(fonts/KaTeX_Size3-Regular.woff) format("woff"), url(fonts/KaTeX_Size3-Regular.ttf) format("truetype")
}

@font-face {
  font-family: KaTeX_Size4;
  font-style: normal;
  font-weight: 400;
  src: url(fonts/KaTeX_Size4-Regular.woff2) format("woff2"), url(fonts/KaTeX_Size4-Regular.woff) format("woff"), url(fonts/KaTeX_Size4-Regular.ttf) format("truetype")
}

@font-face {
  font-family: KaTeX_Typewriter;
  font-style: normal;
  font-weight: 400;
  src: url(fonts/KaTeX_Typewriter-Regular.woff2) format("woff2"), url(fonts/KaTeX_Typewriter-Regular.woff) format("woff"), url(fonts/KaTeX_Typewriter-Regular.ttf) format("truetype")
}

.katex {
  text-rendering: auto;
  font: normal 1.21em KaTeX_Main, Times New Roman, serif;
  line-height: 1.2;
  text-indent: 0
}

.katex * {
  -ms-high-contrast-adjust: none !important;
  border-color: currentColor
}

.katex .katex-version:after {
  content: "0.16.6"
}

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

.katex .katex-html>.newline {
  display: block
}

.katex .base {
  position: relative;
  white-space: nowrap;
  width: -webkit-min-content;
  width: -moz-min-content;
  width: min-content
}

.katex .base,
.katex .strut {
  display: inline-block
}

.katex .textbf {
  font-weight: 700
}

.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: 700
}

.katex .boldsymbol {
  font-family: KaTeX_Math;
  font-style: italic;
  font-weight: 700
}

.katex .amsrm,
.katex .mathbb,
.katex .textbb {
  font-family: KaTeX_AMS
}

.katex .mathcal {
  font-family: KaTeX_Caligraphic
}

.katex .mathfrak,
.katex .textfrak {
  font-family: KaTeX_Fraktur
}

.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: 700
}

.katex .mathitsf,
.katex .textitsf {
  font-family: KaTeX_SansSerif;
  font-style: italic
}

.katex .mainrm {
  font-family: KaTeX_Main;
  font-style: normal
}

.katex .vlist-t {
  border-collapse: collapse;
  display: inline-table;
  table-layout: fixed
}

.katex .vlist-r {
  display: table-row
}

.katex .vlist {
  display: table-cell;
  position: relative;
  vertical-align: bottom
}

.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;
  font-size: 1px;
  min-width: 2px;
  vertical-align: bottom;
  width: 2px
}

.katex .vbox {
  align-items: baseline;
  display: inline-flex;
  flex-direction: column
}

.katex .hbox {
  width: 100%
}

.katex .hbox,
.katex .thinbox {
  display: inline-flex;
  flex-direction: row
}

.katex .thinbox {
  max-width: 0;
  width: 0
}

.katex .msupsub {
  text-align: left
}

.katex .mfrac>span>span {
  text-align: center
}

.katex .mfrac .frac-line {
  border-bottom-style: solid;
  display: inline-block;
  width: 100%
}

.katex .hdashline,
.katex .hline,
.katex .mfrac .frac-line,
.katex .overline .overline-line,
.katex .rule,
.katex .underline .underline-line {
  min-height: 1px
}

.katex .mspace {
  display: inline-block
}

.katex .clap,
.katex .llap,
.katex .rlap {
  position: relative;
  width: 0
}

.katex .clap>.inner,
.katex .llap>.inner,
.katex .rlap>.inner {
  position: absolute
}

.katex .clap>.fix,
.katex .llap>.fix,
.katex .rlap>.fix {
  display: inline-block
}

.katex .llap>.inner {
  right: 0
}

.katex .clap>.inner,
.katex .rlap>.inner {
  left: 0
}

.katex .clap>.inner>span {
  margin-left: -50%;
  margin-right: 50%
}

.katex .rule {
  border: 0 solid;
  display: inline-block;
  position: relative
}

.katex .hline,
.katex .overline .overline-line,
.katex .underline .underline-line {
  border-bottom-style: solid;
  display: inline-block;
  width: 100%
}

.katex .hdashline {
  border-bottom-style: dashed;
  display: inline-block;
  width: 100%
}

.katex .sqrt>.root {
  margin-left: .27777778em;
  margin-right: -.55555556em
}

.katex .fontsize-ensurer.reset-size1.size1,
.katex .sizing.reset-size1.size1 {
  font-size: 1em
}

.katex .fontsize-ensurer.reset-size1.size2,
.katex .sizing.reset-size1.size2 {
  font-size: 1.2em
}

.katex .fontsize-ensurer.reset-size1.size3,
.katex .sizing.reset-size1.size3 {
  font-size: 1.4em
}

.katex .fontsize-ensurer.reset-size1.size4,
.katex .sizing.reset-size1.size4 {
  font-size: 1.6em
}

.katex .fontsize-ensurer.reset-size1.size5,
.katex .sizing.reset-size1.size5 {
  font-size: 1.8em
}

.katex .fontsize-ensurer.reset-size1.size6,
.katex .sizing.reset-size1.size6 {
  font-size: 2em
}

.katex .fontsize-ensurer.reset-size1.size7,
.katex .sizing.reset-size1.size7 {
  font-size: 2.4em
}

.katex .fontsize-ensurer.reset-size1.size8,
.katex .sizing.reset-size1.size8 {
  font-size: 2.88em
}

.katex .fontsize-ensurer.reset-size1.size9,
.katex .sizing.reset-size1.size9 {
  font-size: 3.456em
}

.katex .fontsize-ensurer.reset-size1.size10,
.katex .sizing.reset-size1.size10 {
  font-size: 4.148em
}

.katex .fontsize-ensurer.reset-size1.size11,
.katex .sizing.reset-size1.size11 {
  font-size: 4.976em
}

.katex .fontsize-ensurer.reset-size2.size1,
.katex .sizing.reset-size2.size1 {
  font-size: .83333333em
}

.katex .fontsize-ensurer.reset-size2.size2,
.katex .sizing.reset-size2.size2 {
  font-size: 1em
}

.katex .fontsize-ensurer.reset-size2.size3,
.katex .sizing.reset-size2.size3 {
  font-size: 1.16666667em
}

.katex .fontsize-ensurer.reset-size2.size4,
.katex .sizing.reset-size2.size4 {
  font-size: 1.33333333em
}

.katex .fontsize-ensurer.reset-size2.size5,
.katex .sizing.reset-size2.size5 {
  font-size: 1.5em
}

.katex .fontsize-ensurer.reset-size2.size6,
.katex .sizing.reset-size2.size6 {
  font-size: 1.66666667em
}

.katex .fontsize-ensurer.reset-size2.size7,
.katex .sizing.reset-size2.size7 {
  font-size: 2em
}

.katex .fontsize-ensurer.reset-size2.size8,
.katex .sizing.reset-size2.size8 {
  font-size: 2.4em
}

.katex .fontsize-ensurer.reset-size2.size9,
.katex .sizing.reset-size2.size9 {
  font-size: 2.88em
}

.katex .fontsize-ensurer.reset-size2.size10,
.katex .sizing.reset-size2.size10 {
  font-size: 3.45666667em
}

.katex .fontsize-ensurer.reset-size2.size11,
.katex .sizing.reset-size2.size11 {
  font-size: 4.14666667em
}

.katex .fontsize-ensurer.reset-size3.size1,
.katex .sizing.reset-size3.size1 {
  font-size: .71428571em
}

.katex .fontsize-ensurer.reset-size3.size2,
.katex .sizing.reset-size3.size2 {
  font-size: .85714286em
}

.katex .fontsize-ensurer.reset-size3.size3,
.katex .sizing.reset-size3.size3 {
  font-size: 1em
}

.katex .fontsize-ensurer.reset-size3.size4,
.katex .sizing.reset-size3.size4 {
  font-size: 1.14285714em
}

.katex .fontsize-ensurer.reset-size3.size5,
.katex .sizing.reset-size3.size5 {
  font-size: 1.28571429em
}

.katex .fontsize-ensurer.reset-size3.size6,
.katex .sizing.reset-size3.size6 {
  font-size: 1.42857143em
}

.katex .fontsize-ensurer.reset-size3.size7,
.katex .sizing.reset-size3.size7 {
  font-size: 1.71428571em
}

.katex .fontsize-ensurer.reset-size3.size8,
.katex .sizing.reset-size3.size8 {
  font-size: 2.05714286em
}

.katex .fontsize-ensurer.reset-size3.size9,
.katex .sizing.reset-size3.size9 {
  font-size: 2.46857143em
}

.katex .fontsize-ensurer.reset-size3.size10,
.katex .sizing.reset-size3.size10 {
  font-size: 2.96285714em
}

.katex .fontsize-ensurer.reset-size3.size11,
.katex .sizing.reset-size3.size11 {
  font-size: 3.55428571em
}

.katex .fontsize-ensurer.reset-size4.size1,
.katex .sizing.reset-size4.size1 {
  font-size: .625em
}

.katex .fontsize-ensurer.reset-size4.size2,
.katex .sizing.reset-size4.size2 {
  font-size: .75em
}

.katex .fontsize-ensurer.reset-size4.size3,
.katex .sizing.reset-size4.size3 {
  font-size: .875em
}

.katex .fontsize-ensurer.reset-size4.size4,
.katex .sizing.reset-size4.size4 {
  font-size: 1em
}

.katex .fontsize-ensurer.reset-size4.size5,
.katex .sizing.reset-size4.size5 {
  font-size: 1.125em
}

.katex .fontsize-ensurer.reset-size4.size6,
.katex .sizing.reset-size4.size6 {
  font-size: 1.25em
}

.katex .fontsize-ensurer.reset-size4.size7,
.katex .sizing.reset-size4.size7 {
  font-size: 1.5em
}

.katex .fontsize-ensurer.reset-size4.size8,
.katex .sizing.reset-size4.size8 {
  font-size: 1.8em
}

.katex .fontsize-ensurer.reset-size4.size9,
.katex .sizing.reset-size4.size9 {
  font-size: 2.16em
}

.katex .fontsize-ensurer.reset-size4.size10,
.katex .sizing.reset-size4.size10 {
  font-size: 2.5925em
}

.katex .fontsize-ensurer.reset-size4.size11,
.katex .sizing.reset-size4.size11 {
  font-size: 3.11em
}

.katex .fontsize-ensurer.reset-size5.size1,
.katex .sizing.reset-size5.size1 {
  font-size: .55555556em
}

.katex .fontsize-ensurer.reset-size5.size2,
.katex .sizing.reset-size5.size2 {
  font-size: .66666667em
}

.katex .fontsize-ensurer.reset-size5.size3,
.katex .sizing.reset-size5.size3 {
  font-size: .77777778em
}

.katex .fontsize-ensurer.reset-size5.size4,
.katex .sizing.reset-size5.size4 {
  font-size: .88888889em
}

.katex .fontsize-ensurer.reset-size5.size5,
.katex .sizing.reset-size5.size5 {
  font-size: 1em
}

.katex .fontsize-ensurer.reset-size5.size6,
.katex .sizing.reset-size5.size6 {
  font-size: 1.11111111em
}

.katex .fontsize-ensurer.reset-size5.size7,
.katex .sizing.reset-size5.size7 {
  font-size: 1.33333333em
}

.katex .fontsize-ensurer.reset-size5.size8,
.katex .sizing.reset-size5.size8 {
  font-size: 1.6em
}

.katex .fontsize-ensurer.reset-size5.size9,
.katex .sizing.reset-size5.size9 {
  font-size: 1.92em
}

.katex .fontsize-ensurer.reset-size5.size10,
.katex .sizing.reset-size5.size10 {
  font-size: 2.30444444em
}

.katex .fontsize-ensurer.reset-size5.size11,
.katex .sizing.reset-size5.size11 {
  font-size: 2.76444444em
}

.katex .fontsize-ensurer.reset-size6.size1,
.katex .sizing.reset-size6.size1 {
  font-size: .5em
}

.katex .fontsize-ensurer.reset-size6.size2,
.katex .sizing.reset-size6.size2 {
  font-size: .6em
}

.katex .fontsize-ensurer.reset-size6.size3,
.katex .sizing.reset-size6.size3 {
  font-size: .7em
}

.katex .fontsize-ensurer.reset-size6.size4,
.katex .sizing.reset-size6.size4 {
  font-size: .8em
}

.katex .fontsize-ensurer.reset-size6.size5,
.katex .sizing.reset-size6.size5 {
  font-size: .9em
}

.katex .fontsize-ensurer.reset-size6.size6,
.katex .sizing.reset-size6.size6 {
  font-size: 1em
}

.katex .fontsize-ensurer.reset-size6.size7,
.katex .sizing.reset-size6.size7 {
  font-size: 1.2em
}

.katex .fontsize-ensurer.reset-size6.size8,
.katex .sizing.reset-size6.size8 {
  font-size: 1.44em
}

.katex .fontsize-ensurer.reset-size6.size9,
.katex .sizing.reset-size6.size9 {
  font-size: 1.728em
}

.katex .fontsize-ensurer.reset-size6.size10,
.katex .sizing.reset-size6.size10 {
  font-size: 2.074em
}

.katex .fontsize-ensurer.reset-size6.size11,
.katex .sizing.reset-size6.size11 {
  font-size: 2.488em
}

.katex .fontsize-ensurer.reset-size7.size1,
.katex .sizing.reset-size7.size1 {
  font-size: .41666667em
}

.katex .fontsize-ensurer.reset-size7.size2,
.katex .sizing.reset-size7.size2 {
  font-size: .5em
}

.katex .fontsize-ensurer.reset-size7.size3,
.katex .sizing.reset-size7.size3 {
  font-size: .58333333em
}

.katex .fontsize-ensurer.reset-size7.size4,
.katex .sizing.reset-size7.size4 {
  font-size: .66666667em
}

.katex .fontsize-ensurer.reset-size7.size5,
.katex .sizing.reset-size7.size5 {
  font-size: .75em
}

.katex .fontsize-ensurer.reset-size7.size6,
.katex .sizing.reset-size7.size6 {
  font-size: .83333333em
}

.katex .fontsize-ensurer.reset-size7.size7,
.katex .sizing.reset-size7.size7 {
  font-size: 1em
}

.katex .fontsize-ensurer.reset-size7.size8,
.katex .sizing.reset-size7.size8 {
  font-size: 1.2em
}

.katex .fontsize-ensurer.reset-size7.size9,
.katex .sizing.reset-size7.size9 {
  font-size: 1.44em
}

.katex .fontsize-ensurer.reset-size7.size10,
.katex .sizing.reset-size7.size10 {
  font-size: 1.72833333em
}

.katex .fontsize-ensurer.reset-size7.size11,
.katex .sizing.reset-size7.size11 {
  font-size: 2.07333333em
}

.katex .fontsize-ensurer.reset-size8.size1,
.katex .sizing.reset-size8.size1 {
  font-size: .34722222em
}

.katex .fontsize-ensurer.reset-size8.size2,
.katex .sizing.reset-size8.size2 {
  font-size: .41666667em
}

.katex .fontsize-ensurer.reset-size8.size3,
.katex .sizing.reset-size8.size3 {
  font-size: .48611111em
}

.katex .fontsize-ensurer.reset-size8.size4,
.katex .sizing.reset-size8.size4 {
  font-size: .55555556em
}

.katex .fontsize-ensurer.reset-size8.size5,
.katex .sizing.reset-size8.size5 {
  font-size: .625em
}

.katex .fontsize-ensurer.reset-size8.size6,
.katex .sizing.reset-size8.size6 {
  font-size: .69444444em
}

.katex .fontsize-ensurer.reset-size8.size7,
.katex .sizing.reset-size8.size7 {
  font-size: .83333333em
}

.katex .fontsize-ensurer.reset-size8.size8,
.katex .sizing.reset-size8.size8 {
  font-size: 1em
}

.katex .fontsize-ensurer.reset-size8.size9,
.katex .sizing.reset-size8.size9 {
  font-size: 1.2em
}

.katex .fontsize-ensurer.reset-size8.size10,
.katex .sizing.reset-size8.size10 {
  font-size: 1.44027778em
}

.katex .fontsize-ensurer.reset-size8.size11,
.katex .sizing.reset-size8.size11 {
  font-size: 1.72777778em
}

.katex .fontsize-ensurer.reset-size9.size1,
.katex .sizing.reset-size9.size1 {
  font-size: .28935185em
}

.katex .fontsize-ensurer.reset-size9.size2,
.katex .sizing.reset-size9.size2 {
  font-size: .34722222em
}

.katex .fontsize-ensurer.reset-size9.size3,
.katex .sizing.reset-size9.size3 {
  font-size: .40509259em
}

.katex .fontsize-ensurer.reset-size9.size4,
.katex .sizing.reset-size9.size4 {
  font-size: .46296296em
}

.katex .fontsize-ensurer.reset-size9.size5,
.katex .sizing.reset-size9.size5 {
  font-size: .52083333em
}

.katex .fontsize-ensurer.reset-size9.size6,
.katex .sizing.reset-size9.size6 {
  font-size: .5787037em
}

.katex .fontsize-ensurer.reset-size9.size7,
.katex .sizing.reset-size9.size7 {
  font-size: .69444444em
}

.katex .fontsize-ensurer.reset-size9.size8,
.katex .sizing.reset-size9.size8 {
  font-size: .83333333em
}

.katex .fontsize-ensurer.reset-size9.size9,
.katex .sizing.reset-size9.size9 {
  font-size: 1em
}

.katex .fontsize-ensurer.reset-size9.size10,
.katex .sizing.reset-size9.size10 {
  font-size: 1.20023148em
}

.katex .fontsize-ensurer.reset-size9.size11,
.katex .sizing.reset-size9.size11 {
  font-size: 1.43981481em
}

.katex .fontsize-ensurer.reset-size10.size1,
.katex .sizing.reset-size10.size1 {
  font-size: .24108004em
}

.katex .fontsize-ensurer.reset-size10.size2,
.katex .sizing.reset-size10.size2 {
  font-size: .28929605em
}

.katex .fontsize-ensurer.reset-size10.size3,
.katex .sizing.reset-size10.size3 {
  font-size: .33751205em
}

.katex .fontsize-ensurer.reset-size10.size4,
.katex .sizing.reset-size10.size4 {
  font-size: .38572806em
}

.katex .fontsize-ensurer.reset-size10.size5,
.katex .sizing.reset-size10.size5 {
  font-size: .43394407em
}

.katex .fontsize-ensurer.reset-size10.size6,
.katex .sizing.reset-size10.size6 {
  font-size: .48216008em
}

.katex .fontsize-ensurer.reset-size10.size7,
.katex .sizing.reset-size10.size7 {
  font-size: .57859209em
}

.katex .fontsize-ensurer.reset-size10.size8,
.katex .sizing.reset-size10.size8 {
  font-size: .69431051em
}

.katex .fontsize-ensurer.reset-size10.size9,
.katex .sizing.reset-size10.size9 {
  font-size: .83317261em
}

.katex .fontsize-ensurer.reset-size10.size10,
.katex .sizing.reset-size10.size10 {
  font-size: 1em
}

.katex .fontsize-ensurer.reset-size10.size11,
.katex .sizing.reset-size10.size11 {
  font-size: 1.19961427em
}

.katex .fontsize-ensurer.reset-size11.size1,
.katex .sizing.reset-size11.size1 {
  font-size: .20096463em
}

.katex .fontsize-ensurer.reset-size11.size2,
.katex .sizing.reset-size11.size2 {
  font-size: .24115756em
}

.katex .fontsize-ensurer.reset-size11.size3,
.katex .sizing.reset-size11.size3 {
  font-size: .28135048em
}

.katex .fontsize-ensurer.reset-size11.size4,
.katex .sizing.reset-size11.size4 {
  font-size: .32154341em
}

.katex .fontsize-ensurer.reset-size11.size5,
.katex .sizing.reset-size11.size5 {
  font-size: .36173633em
}

.katex .fontsize-ensurer.reset-size11.size6,
.katex .sizing.reset-size11.size6 {
  font-size: .40192926em
}

.katex .fontsize-ensurer.reset-size11.size7,
.katex .sizing.reset-size11.size7 {
  font-size: .48231511em
}

.katex .fontsize-ensurer.reset-size11.size8,
.katex .sizing.reset-size11.size8 {
  font-size: .57877814em
}

.katex .fontsize-ensurer.reset-size11.size9,
.katex .sizing.reset-size11.size9 {
  font-size: .69453376em
}

.katex .fontsize-ensurer.reset-size11.size10,
.katex .sizing.reset-size11.size10 {
  font-size: .83360129em
}

.katex .fontsize-ensurer.reset-size11.size11,
.katex .sizing.reset-size11.size11 {
  font-size: 1em
}

.katex .delimsizing.size1 {
  font-family: KaTeX_Size1
}

.katex .delimsizing.size2 {
  font-family: KaTeX_Size2
}

.katex .delimsizing.size3 {
  font-family: KaTeX_Size3
}

.katex .delimsizing.size4 {
  font-family: KaTeX_Size4
}

.katex .delimsizing.mult .delim-size1>span {
  font-family: KaTeX_Size1
}

.katex .delimsizing.mult .delim-size4>span {
  font-family: KaTeX_Size4
}

.katex .nulldelimiter {
  display: inline-block;
  width: .12em
}

.katex .delimcenter,
.katex .op-symbol {
  position: relative
}

.katex .op-symbol.small-op {
  font-family: KaTeX_Size1
}

.katex .op-symbol.large-op {
  font-family: KaTeX_Size2
}

.katex .accent>.vlist-t,
.katex .op-limits>.vlist-t {
  text-align: center
}

.katex .accent .accent-body {
  position: relative
}

.katex .accent .accent-body:not(.accent-full) {
  width: 0
}

.katex .overlay {
  display: block
}

.katex .mtable .vertical-separator {
  display: inline-block;
  min-width: 1px
}

.katex .mtable .arraycolsep {
  display: inline-block
}

.katex .mtable .col-align-c>.vlist-t {
  text-align: center
}

.katex .mtable .col-align-l>.vlist-t {
  text-align: left
}

.katex .mtable .col-align-r>.vlist-t {
  text-align: right
}

.katex .svg-align {
  text-align: left
}

.katex svg {
  fill: currentColor;
  stroke: currentColor;
  fill-rule: nonzero;
  fill-opacity: 1;
  stroke-width: 1;
  stroke-linecap: butt;
  stroke-linejoin: miter;
  stroke-miterlimit: 4;
  stroke-dasharray: none;
  stroke-dashoffset: 0;
  stroke-opacity: 1;
  display: block;
  height: inherit;
  position: absolute;
  width: 100%
}

.katex svg path {
  stroke: none
}

.katex img {
  border-style: none;
  max-height: none;
  max-width: none;
  min-height: 0;
  min-width: 0
}

.katex .stretchy {
  display: block;
  overflow: hidden;
  position: relative;
  width: 100%
}

.katex .stretchy:after,
.katex .stretchy:before {
  content: ""
}

.katex .hide-tail {
  overflow: hidden;
  position: relative;
  width: 100%
}

.katex .halfarrow-left {
  left: 0;
  overflow: hidden;
  position: absolute;
  width: 50.2%
}

.katex .halfarrow-right {
  overflow: hidden;
  position: absolute;
  right: 0;
  width: 50.2%
}

.katex .brace-left {
  left: 0;
  overflow: hidden;
  position: absolute;
  width: 25.1%
}

.katex .brace-center {
  left: 25%;
  overflow: hidden;
  position: absolute;
  width: 50%
}

.katex .brace-right {
  overflow: hidden;
  position: absolute;
  right: 0;
  width: 25.1%
}

.katex .x-arrow-pad {
  padding: 0 .5em
}

.katex .cd-arrow-pad {
  padding: 0 .55556em 0 .27778em
}

.katex .mover,
.katex .munder,
.katex .x-arrow {
  text-align: center
}

.katex .boxpad {
  padding: 0 .3em
}

.katex .fbox,
.katex .fcolorbox {
  border: .04em solid;
  box-sizing: border-box
}

.katex .cancel-pad {
  padding: 0 .2em
}

.katex .cancel-lap {
  margin-left: -.2em;
  margin-right: -.2em
}

.katex .sout {
  border-bottom-style: solid;
  border-bottom-width: .08em
}

.katex .angl {
  border-right: .049em solid;
  border-top: .049em solid;
  box-sizing: border-box;
  margin-right: .03889em
}

.katex .anglpad {
  padding: 0 .03889em
}

.katex .eqn-num:before {
  content: "(" counter(katexEqnNo) ")";
  counter-increment: katexEqnNo
}

.katex .mml-eqn-num:before {
  content: "(" counter(mmlEqnNo) ")";
  counter-increment: mmlEqnNo
}

.katex .mtr-glue {
  width: 50%
}

.katex .cd-vert-arrow {
  display: inline-block;
  position: relative
}

.katex .cd-label-left {
  display: inline-block;
  position: absolute;
  right: calc(50% + .3em);
  text-align: left
}

.katex .cd-label-right {
  display: inline-block;
  left: calc(50% + .3em);
  position: absolute;
  text-align: right
}

.katex-display {
  display: block;
  margin: 1em 0;
  text-align: center
}

.katex-display>.katex {
  display: block;
  text-align: center;
  white-space: nowrap
}

.katex-display>.katex>.katex-html {
  display: block;
  position: relative
}

.katex-display>.katex>.katex-html>.tag {
  position: absolute;
  right: 0
}

.katex-display.leqno>.katex>.katex-html>.tag {
  left: 0;
  right: auto
}

.katex-display.fleqn>.katex {
  padding-left: 2em;
  text-align: left
}

body {
  counter-reset: katexEqnNo mmlEqnNo
}