:root, :host {
  --fa-font-solid: normal 900 1em / 1 "Font Awesome 6 Free";
  --fa-font-regular: normal 400 1em / 1 "Font Awesome 6 Free";
  --fa-font-light: normal 300 1em / 1 "Font Awesome 6 Pro";
  --fa-font-thin: normal 100 1em / 1 "Font Awesome 6 Pro";
  --fa-font-duotone: normal 900 1em / 1 "Font Awesome 6 Duotone";
  --fa-font-duotone-regular: normal 400 1em / 1 "Font Awesome 6 Duotone";
  --fa-font-duotone-light: normal 300 1em / 1 "Font Awesome 6 Duotone";
  --fa-font-duotone-thin: normal 100 1em / 1 "Font Awesome 6 Duotone";
  --fa-font-brands: normal 400 1em / 1 "Font Awesome 6 Brands";
  --fa-font-sharp-solid: normal 900 1em / 1 "Font Awesome 6 Sharp";
  --fa-font-sharp-regular: normal 400 1em / 1 "Font Awesome 6 Sharp";
  --fa-font-sharp-light: normal 300 1em / 1 "Font Awesome 6 Sharp";
  --fa-font-sharp-thin: normal 100 1em / 1 "Font Awesome 6 Sharp";
  --fa-font-sharp-duotone-solid: normal 900 1em / 1 "Font Awesome 6 Sharp Duotone";
  --fa-font-sharp-duotone-regular: normal 400 1em / 1 "Font Awesome 6 Sharp Duotone";
  --fa-font-sharp-duotone-light: normal 300 1em / 1 "Font Awesome 6 Sharp Duotone";
  --fa-font-sharp-duotone-thin: normal 100 1em / 1 "Font Awesome 6 Sharp Duotone";
}

svg.svg-inline--fa:not(:root), svg.svg-inline--fa:not(:host) {
  box-sizing: content-box;
  overflow: visible;
}

.svg-inline--fa {
  display: var(--fa-display, inline-block);
  vertical-align: -.125em;
  height: 1em;
  overflow: visible;
}

.svg-inline--fa.fa-2xs {
  vertical-align: .1em;
}

.svg-inline--fa.fa-xs {
  vertical-align: 0;
}

.svg-inline--fa.fa-sm {
  vertical-align: -.07143em;
}

.svg-inline--fa.fa-lg {
  vertical-align: -.2em;
}

.svg-inline--fa.fa-xl {
  vertical-align: -.25em;
}

.svg-inline--fa.fa-2xl {
  vertical-align: -.3125em;
}

.svg-inline--fa.fa-pull-left {
  margin-right: var(--fa-pull-margin, .3em);
  width: auto;
}

.svg-inline--fa.fa-pull-right {
  margin-left: var(--fa-pull-margin, .3em);
  width: auto;
}

.svg-inline--fa.fa-li {
  width: var(--fa-li-width, 2em);
  top: .25em;
}

.svg-inline--fa.fa-fw {
  width: var(--fa-fw-width, 1.25em);
}

.fa-layers svg.svg-inline--fa {
  margin: auto;
  position: absolute;
  inset: 0;
}

.fa-layers-counter, .fa-layers-text {
  text-align: center;
  display: inline-block;
  position: absolute;
}

.fa-layers {
  text-align: center;
  vertical-align: -.125em;
  width: 1em;
  height: 1em;
  display: inline-block;
  position: relative;
}

.fa-layers svg.svg-inline--fa {
  transform-origin: center;
}

.fa-layers-text {
  transform-origin: center;
  top: 50%;
  left: 50%;
  transform: translate(-50%, -50%);
}

.fa-layers-counter {
  background-color: var(--fa-counter-background-color, #ff253a);
  border-radius: var(--fa-counter-border-radius, 1em);
  box-sizing: border-box;
  color: var(--fa-inverse, #fff);
  line-height: var(--fa-counter-line-height, 1);
  max-width: var(--fa-counter-max-width, 5em);
  min-width: var(--fa-counter-min-width, 1.5em);
  padding: var(--fa-counter-padding, .25em .5em);
  right: var(--fa-right, 0);
  text-overflow: ellipsis;
  top: var(--fa-top, 0);
  transform: scale(var(--fa-counter-scale, .25));
  transform-origin: 100% 0;
  overflow: hidden;
}

.fa-layers-bottom-right {
  bottom: var(--fa-bottom, 0);
  right: var(--fa-right, 0);
  transform: scale(var(--fa-layers-scale, .25));
  transform-origin: 100% 100%;
  top: auto;
}

.fa-layers-bottom-left {
  bottom: var(--fa-bottom, 0);
  left: var(--fa-left, 0);
  transform: scale(var(--fa-layers-scale, .25));
  transform-origin: 0 100%;
  top: auto;
  right: auto;
}

.fa-layers-top-right {
  top: var(--fa-top, 0);
  right: var(--fa-right, 0);
  transform: scale(var(--fa-layers-scale, .25));
  transform-origin: 100% 0;
}

.fa-layers-top-left {
  left: var(--fa-left, 0);
  right: auto;
  top: var(--fa-top, 0);
  transform: scale(var(--fa-layers-scale, .25));
  transform-origin: 0 0;
}

.fa-1x {
  font-size: 1em;
}

.fa-2x {
  font-size: 2em;
}

.fa-3x {
  font-size: 3em;
}

.fa-4x {
  font-size: 4em;
}

.fa-5x {
  font-size: 5em;
}

.fa-6x {
  font-size: 6em;
}

.fa-7x {
  font-size: 7em;
}

.fa-8x {
  font-size: 8em;
}

.fa-9x {
  font-size: 9em;
}

.fa-10x {
  font-size: 10em;
}

.fa-2xs {
  vertical-align: .225em;
  font-size: .625em;
  line-height: .1em;
}

.fa-xs {
  vertical-align: .125em;
  font-size: .75em;
  line-height: .08333em;
}

.fa-sm {
  vertical-align: .05357em;
  font-size: .875em;
  line-height: .07143em;
}

.fa-lg {
  vertical-align: -.075em;
  font-size: 1.25em;
  line-height: .05em;
}

.fa-xl {
  vertical-align: -.125em;
  font-size: 1.5em;
  line-height: .04167em;
}

.fa-2xl {
  vertical-align: -.1875em;
  font-size: 2em;
  line-height: .03125em;
}

.fa-fw {
  text-align: center;
  width: 1.25em;
}

.fa-ul {
  margin-left: var(--fa-li-margin, 2.5em);
  padding-left: 0;
  list-style-type: none;
}

.fa-ul > li {
  position: relative;
}

.fa-li {
  left: calc(-1 * var(--fa-li-width, 2em));
  text-align: center;
  width: var(--fa-li-width, 2em);
  line-height: inherit;
  position: absolute;
}

.fa-border {
  border-color: var(--fa-border-color, #eee);
  border-radius: var(--fa-border-radius, .1em);
  border-style: var(--fa-border-style, solid);
  border-width: var(--fa-border-width, .08em);
  padding: var(--fa-border-padding, .2em .25em .15em);
}

.fa-pull-left {
  float: left;
  margin-right: var(--fa-pull-margin, .3em);
}

.fa-pull-right {
  float: right;
  margin-left: var(--fa-pull-margin, .3em);
}

.fa-beat {
  animation-name: fa-beat;
  animation-delay: var(--fa-animation-delay, 0s);
  animation-direction: var(--fa-animation-direction, normal);
  animation-duration: var(--fa-animation-duration, 1s);
  animation-iteration-count: var(--fa-animation-iteration-count, infinite);
  animation-timing-function: var(--fa-animation-timing, ease-in-out);
}

.fa-bounce {
  animation-name: fa-bounce;
  animation-delay: var(--fa-animation-delay, 0s);
  animation-direction: var(--fa-animation-direction, normal);
  animation-duration: var(--fa-animation-duration, 1s);
  animation-iteration-count: var(--fa-animation-iteration-count, infinite);
  animation-timing-function: var(--fa-animation-timing, cubic-bezier(.28, .84, .42, 1));
}

.fa-fade {
  animation-name: fa-fade;
  animation-delay: var(--fa-animation-delay, 0s);
  animation-direction: var(--fa-animation-direction, normal);
  animation-duration: var(--fa-animation-duration, 1s);
  animation-iteration-count: var(--fa-animation-iteration-count, infinite);
  animation-timing-function: var(--fa-animation-timing, cubic-bezier(.4, 0, .6, 1));
}

.fa-beat-fade {
  animation-name: fa-beat-fade;
  animation-delay: var(--fa-animation-delay, 0s);
  animation-direction: var(--fa-animation-direction, normal);
  animation-duration: var(--fa-animation-duration, 1s);
  animation-iteration-count: var(--fa-animation-iteration-count, infinite);
  animation-timing-function: var(--fa-animation-timing, cubic-bezier(.4, 0, .6, 1));
}

.fa-flip {
  animation-name: fa-flip;
  animation-delay: var(--fa-animation-delay, 0s);
  animation-direction: var(--fa-animation-direction, normal);
  animation-duration: var(--fa-animation-duration, 1s);
  animation-iteration-count: var(--fa-animation-iteration-count, infinite);
  animation-timing-function: var(--fa-animation-timing, ease-in-out);
}

.fa-shake {
  animation-name: fa-shake;
  animation-delay: var(--fa-animation-delay, 0s);
  animation-direction: var(--fa-animation-direction, normal);
  animation-duration: var(--fa-animation-duration, 1s);
  animation-iteration-count: var(--fa-animation-iteration-count, infinite);
  animation-timing-function: var(--fa-animation-timing, linear);
}

.fa-spin {
  animation-name: fa-spin;
  animation-delay: var(--fa-animation-delay, 0s);
  animation-direction: var(--fa-animation-direction, normal);
  animation-duration: var(--fa-animation-duration, 2s);
  animation-iteration-count: var(--fa-animation-iteration-count, infinite);
  animation-timing-function: var(--fa-animation-timing, linear);
}

.fa-spin-reverse {
  --fa-animation-direction: reverse;
}

.fa-pulse, .fa-spin-pulse {
  animation-name: fa-spin;
  animation-direction: var(--fa-animation-direction, normal);
  animation-duration: var(--fa-animation-duration, 1s);
  animation-iteration-count: var(--fa-animation-iteration-count, infinite);
  animation-timing-function: var(--fa-animation-timing, steps(8));
}

@media (prefers-reduced-motion: reduce) {
  .fa-beat, .fa-bounce, .fa-fade, .fa-beat-fade, .fa-flip, .fa-pulse, .fa-shake, .fa-spin, .fa-spin-pulse {
    transition-duration: 0s;
    transition-delay: 0s;
    animation-duration: 1ms;
    animation-iteration-count: 1;
    animation-delay: -1ms;
  }
}

@keyframes fa-beat {
  0%, 90% {
    transform: scale(1);
  }

  45% {
    transform: scale(var(--fa-beat-scale, 1.25));
  }
}

@keyframes fa-bounce {
  0% {
    transform: scale(1)translateY(0);
  }

  10% {
    transform: scale(var(--fa-bounce-start-scale-x, 1.1), var(--fa-bounce-start-scale-y, .9)) translateY(0);
  }

  30% {
    transform: scale(var(--fa-bounce-jump-scale-x, .9), var(--fa-bounce-jump-scale-y, 1.1)) translateY(var(--fa-bounce-height, -.5em));
  }

  50% {
    transform: scale(var(--fa-bounce-land-scale-x, 1.05), var(--fa-bounce-land-scale-y, .95)) translateY(0);
  }

  57% {
    transform: scale(1, 1) translateY(var(--fa-bounce-rebound, -.125em));
  }

  64% {
    transform: scale(1)translateY(0);
  }

  100% {
    transform: scale(1)translateY(0);
  }
}

@keyframes fa-fade {
  50% {
    opacity: var(--fa-fade-opacity, .4);
  }
}

@keyframes fa-beat-fade {
  0%, 100% {
    opacity: var(--fa-beat-fade-opacity, .4);
    transform: scale(1);
  }

  50% {
    opacity: 1;
    transform: scale(var(--fa-beat-fade-scale, 1.125));
  }
}

@keyframes fa-flip {
  50% {
    transform: rotate3d(var(--fa-flip-x, 0), var(--fa-flip-y, 1), var(--fa-flip-z, 0), var(--fa-flip-angle, -180deg));
  }
}

@keyframes fa-shake {
  0% {
    transform: rotate(-15deg);
  }

  4% {
    transform: rotate(15deg);
  }

  8%, 24% {
    transform: rotate(-18deg);
  }

  12%, 28% {
    transform: rotate(18deg);
  }

  16% {
    transform: rotate(-22deg);
  }

  20% {
    transform: rotate(22deg);
  }

  32% {
    transform: rotate(-12deg);
  }

  36% {
    transform: rotate(12deg);
  }

  40%, 100% {
    transform: rotate(0);
  }
}

@keyframes fa-spin {
  0% {
    transform: rotate(0);
  }

  100% {
    transform: rotate(360deg);
  }
}

.fa-rotate-90 {
  transform: rotate(90deg);
}

.fa-rotate-180 {
  transform: rotate(180deg);
}

.fa-rotate-270 {
  transform: rotate(270deg);
}

.fa-flip-horizontal {
  transform: scale(-1, 1);
}

.fa-flip-vertical {
  transform: scale(1, -1);
}

.fa-flip-both, .fa-flip-horizontal.fa-flip-vertical {
  transform: scale(-1);
}

.fa-rotate-by {
  transform: rotate(var(--fa-rotate-angle, 0));
}

.fa-stack {
  vertical-align: middle;
  width: 2.5em;
  height: 2em;
  display: inline-block;
  position: relative;
}

.fa-stack-1x, .fa-stack-2x {
  z-index: var(--fa-stack-z-index, auto);
  margin: auto;
  position: absolute;
  inset: 0;
}

.svg-inline--fa.fa-stack-1x {
  width: 1.25em;
  height: 1em;
}

.svg-inline--fa.fa-stack-2x {
  width: 2.5em;
  height: 2em;
}

.fa-inverse {
  color: var(--fa-inverse, #fff);
}

.sr-only, .fa-sr-only, .sr-only-focusable:not(:focus), .fa-sr-only-focusable:not(:focus) {
  clip: rect(0, 0, 0, 0);
  white-space: nowrap;
  border-width: 0;
  width: 1px;
  height: 1px;
  margin: -1px;
  padding: 0;
  position: absolute;
  overflow: hidden;
}

.svg-inline--fa .fa-primary {
  fill: var(--fa-primary-color, currentColor);
  opacity: var(--fa-primary-opacity, 1);
}

.svg-inline--fa .fa-secondary {
  fill: var(--fa-secondary-color, currentColor);
  opacity: var(--fa-secondary-opacity, .4);
}

.svg-inline--fa.fa-swap-opacity .fa-primary {
  opacity: var(--fa-secondary-opacity, .4);
}

.svg-inline--fa.fa-swap-opacity .fa-secondary {
  opacity: var(--fa-primary-opacity, 1);
}

.svg-inline--fa mask .fa-primary, .svg-inline--fa mask .fa-secondary {
  fill: #000;
}

div.code-toolbar {
  position: relative;
}

div.code-toolbar > .toolbar {
  z-index: 10;
  opacity: 0;
  transition: opacity .3s ease-in-out;
  position: absolute;
  top: .3em;
  right: .2em;
}

div.code-toolbar:hover > .toolbar, div.code-toolbar:focus-within > .toolbar {
  opacity: 1;
}

div.code-toolbar > .toolbar > .toolbar-item {
  display: inline-block;
}

div.code-toolbar > .toolbar > .toolbar-item > a {
  cursor: pointer;
}

div.code-toolbar > .toolbar > .toolbar-item > button {
  color: inherit;
  font: inherit;
  -webkit-user-select: none;
  -moz-user-select: none;
  -ms-user-select: none;
  background: none;
  border: 0;
  padding: 0;
  line-height: normal;
  overflow: visible;
}

div.code-toolbar > .toolbar > .toolbar-item > a, div.code-toolbar > .toolbar > .toolbar-item > button, div.code-toolbar > .toolbar > .toolbar-item > span {
  color: #bbb;
  background: #e0e0e033;
  border-radius: .5em;
  padding: 0 .5em;
  font-size: .8em;
  box-shadow: 0 2px #0003;
}

div.code-toolbar > .toolbar > .toolbar-item > a:hover, div.code-toolbar > .toolbar > .toolbar-item > a:focus, div.code-toolbar > .toolbar > .toolbar-item > button:hover, div.code-toolbar > .toolbar > .toolbar-item > button:focus, div.code-toolbar > .toolbar > .toolbar-item > span:hover, div.code-toolbar > .toolbar > .toolbar-item > span:focus {
  color: inherit;
  text-decoration: none;
}

@font-face {
  font-family: KaTeX_Main;
  font-style: normal;
  font-weight: 700;
  src: url("KaTeX_Main-Bold.785ad6f5.woff2") format("woff2");
}

@font-face {
  font-family: KaTeX_Main;
  font-style: italic;
  font-weight: 700;
  src: url("KaTeX_Main-BoldItalic.35d7578a.woff2") format("woff2");
}

@font-face {
  font-family: KaTeX_Main;
  font-style: italic;
  font-weight: 400;
  src: url("KaTeX_Main-Italic.9cc42e0c.woff2") format("woff2");
}

@font-face {
  font-family: KaTeX_Main;
  font-style: normal;
  font-weight: 400;
  src: url("KaTeX_Main-Regular.1d868d05.woff2") format("woff2");
}

@font-face {
  font-family: KaTeX_Math;
  font-style: italic;
  font-weight: 700;
  src: url("KaTeX_Math-BoldItalic.ff84a981.woff2") format("woff2");
}

@font-face {
  font-family: KaTeX_Math;
  font-style: italic;
  font-weight: 400;
  src: url("KaTeX_Math-Italic.4ec488d5.woff2") format("woff2");
}

@font-face {
  font-family: KaTeX_Size1;
  font-style: normal;
  font-weight: 400;
  src: url("KaTeX_Size1-Regular.fab5c8a1.woff2") format("woff2");
}

@font-face {
  font-family: KaTeX_Size2;
  font-style: normal;
  font-weight: 400;
  src: url("KaTeX_Size2-Regular.85136f6f.woff2") format("woff2");
}

@font-face {
  font-family: KaTeX_Size3;
  font-style: normal;
  font-weight: 400;
  src: url("KaTeX_Size3-Regular.c0578a85.woff2") format("woff2");
}

@font-face {
  font-family: KaTeX_Size4;
  font-style: normal;
  font-weight: 400;
  src: url("KaTeX_Size4-Regular.4c14e9f8.woff2") format("woff2");
}

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

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

.katex .katex-version:after {
  content: "0.16.11";
}

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

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

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

.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 .mathboldfrak, .katex .textboldfrak {
  font-family: KaTeX_Fraktur;
  font-weight: 700;
}

.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;
  table-layout: fixed;
  display: inline-table;
}

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

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

.katex .vlist > span {
  height: 0;
  display: block;
  position: relative;
}

.katex .vlist > span > span {
  display: inline-block;
}

.katex .vlist > span > .pstrut {
  width: 0;
  overflow: hidden;
}

.katex .vlist-t2 {
  margin-right: -2px;
}

.katex .vlist-s {
  vertical-align: bottom;
  width: 2px;
  min-width: 2px;
  font-size: 1px;
  display: table-cell;
}

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

.katex .hbox {
  width: 100%;
}

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

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

.katex .msupsub {
  text-align: left;
}

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

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

.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 {
  width: 0;
  position: relative;
}

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

.katex .clap > .fix, .katex .llap > .fix, .katex .rlap > .fix {
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