/* Copyright 2014 Mozilla Foundation
 *
 * Licensed under the Apache License, Version 2.0 (the "License");
 * you may not use this file except in compliance with the License.
 * You may obtain a copy of the License at
 *
 *     http://www.apache.org/licenses/LICENSE-2.0
 *
 * Unless required by applicable law or agreed to in writing, software
 * distributed under the License is distributed on an "AS IS" BASIS,
 * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
 * See the License for the specific language governing permissions and
 * limitations under the License.
 */

:root {
  --react-pdf-annotation-layer: 1;
  --annotation-unfocused-field-background: url("data:image/svg+xml;charset=UTF-8,<svg width='1px' height='1px' xmlns='http://www.w3.org/2000/svg'><rect width='100%' height='100%' style='fill:rgba(0, 54, 255, 0.13);'/></svg>");
  --input-focus-border-color: Highlight;
  --input-focus-outline: 1px solid Canvas;
  --input-unfocused-border-color: transparent;
  --input-disabled-border-color: transparent;
  --input-hover-border-color: black;
  --link-outline: none;
}

@media screen and (forced-colors: active) {
  :root {
    --input-focus-border-color: CanvasText;
    --input-unfocused-border-color: ActiveText;
    --input-disabled-border-color: GrayText;
    --input-hover-border-color: Highlight;
    --link-outline: 1.5px solid LinkText;
  }
  .annotationLayer .textWidgetAnnotation :is(input, textarea):required,
  .annotationLayer .choiceWidgetAnnotation select:required,
  .annotationLayer .buttonWidgetAnnotation:is(.checkBox, .radioButton) input:required {
    outline: 1.5px solid selectedItem;
  }

  .annotationLayer .linkAnnotation:hover {
    -webkit-backdrop-filter: invert(100%);
            backdrop-filter: invert(100%);
  }
}

.annotationLayer {
  position: absolute;
  top: 0;
  left: 0;
  pointer-events: none;
  transform-origin: 0 0;
  z-index: 3;
}

.annotationLayer[data-main-rotation='90'] .norotate {
  transform: rotate(270deg) translateX(-100%);
}
.annotationLayer[data-main-rotation='180'] .norotate {
  transform: rotate(180deg) translate(-100%, -100%);
}
.annotationLayer[data-main-rotation='270'] .norotate {
  transform: rotate(90deg) translateY(-100%);
}

.annotationLayer canvas {
  position: absolute;
  width: 100%;
  height: 100%;
}

.annotationLayer section {
  position: absolute;
  text-align: initial;
  pointer-events: auto;
  box-sizing: border-box;
  margin: 0;
  transform-origin: 0 0;
}

.annotationLayer .linkAnnotation {
  outline: var(--link-outline);
}

.annotationLayer :is(.linkAnnotation, .buttonWidgetAnnotation.pushButton) > a {
  position: absolute;
  font-size: 1em;
  top: 0;
  left: 0;
  width: 100%;
  height: 100%;
}

.annotationLayer :is(.linkAnnotation, .buttonWidgetAnnotation.pushButton) > a:hover {
  opacity: 0.2;
  background: rgba(255, 255, 0, 1);
  box-shadow: 0 2px 10px rgba(255, 255, 0, 1);
}

.annotationLayer .textAnnotation img {
  position: absolute;
  cursor: pointer;
  width: 100%;
  height: 100%;
  top: 0;
  left: 0;
}

.annotationLayer .textWidgetAnnotation :is(input, textarea),
.annotationLayer .choiceWidgetAnnotation select,
.annotationLayer .buttonWidgetAnnotation:is(.checkBox, .radioButton) input {
  background-image: var(--annotation-unfocused-field-background);
  border: 2px solid var(--input-unfocused-border-color);
  box-sizing: border-box;
  font: calc(9px * var(--scale-factor)) sans-serif;
  height: 100%;
  margin: 0;
  vertical-align: top;
  width: 100%;
}

.annotationLayer .textWidgetAnnotation :is(input, textarea):required,
.annotationLayer .choiceWidgetAnnotation select:required,
.annotationLayer .buttonWidgetAnnotation:is(.checkBox, .radioButton) input:required {
  outline: 1.5px solid red;
}

.annotationLayer .choiceWidgetAnnotation select option {
  padding: 0;
}

.annotationLayer .buttonWidgetAnnotation.radioButton input {
  border-radius: 50%;
}

.annotationLayer .textWidgetAnnotation textarea {
  resize: none;
}

.annotationLayer .textWidgetAnnotation :is(input, textarea)[disabled],
.annotationLayer .choiceWidgetAnnotation select[disabled],
.annotationLayer .buttonWidgetAnnotation:is(.checkBox, .radioButton) input[disabled] {
  background: none;
  border: 2px solid var(--input-disabled-border-color);
  cursor: not-allowed;
}

.annotationLayer .textWidgetAnnotation :is(input, textarea):hover,
.annotationLayer .choiceWidgetAnnotation select:hover,
.annotationLayer .buttonWidgetAnnotation:is(.checkBox, .radioButton) input:hover {
  border: 2px solid var(--input-hover-border-color);
}
.annotationLayer .textWidgetAnnotation :is(input, textarea):hover,
.annotationLayer .choiceWidgetAnnotation select:hover,
.annotationLayer .buttonWidgetAnnotation.checkBox input:hover {
  border-radius: 2px;
}

.annotationLayer .textWidgetAnnotation :is(input, textarea):focus,
.annotationLayer .choiceWidgetAnnotation select:focus {
  background: none;
  border: 2px solid var(--input-focus-border-color);
  border-radius: 2px;
  outline: var(--input-focus-outline);
}

.annotationLayer .buttonWidgetAnnotation:is(.checkBox, .radioButton) :focus {
  background-image: none;
  background-color: transparent;
}

.annotationLayer .buttonWidgetAnnotation.checkBox :focus {
  border: 2px solid var(--input-focus-border-color);
  border-radius: 2px;
  outline: var(--input-focus-outline);
}

.annotationLayer .buttonWidgetAnnotation.radioButton :focus {
  border: 2px solid var(--input-focus-border-color);
  outline: var(--input-focus-outline);
}

.annotationLayer .buttonWidgetAnnotation.checkBox input:checked::before,
.annotationLayer .buttonWidgetAnnotation.checkBox input:checked::after,
.annotationLayer .buttonWidgetAnnotation.radioButton input:checked::before {
  background-color: CanvasText;
  content: '';
  display: block;
  position: absolute;
}

.annotationLayer .buttonWidgetAnnotation.checkBox input:checked::before,
.annotationLayer .buttonWidgetAnnotation.checkBox input:checked::after {
  height: 80%;
  left: 45%;
  width: 1px;
}

.annotationLayer .buttonWidgetAnnotation.checkBox input:checked::before {
  transform: rotate(45deg);
}

.annotationLayer .buttonWidgetAnnotation.checkBox input:checked::after {
  transform: rotate(-45deg);
}

.annotationLayer .buttonWidgetAnnotation.radioButton input:checked::before {
  border-radius: 50%;
  height: 50%;
  left: 30%;
  top: 20%;
  width: 50%;
}

.annotationLayer .textWidgetAnnotation input.comb {
  font-family: monospace;
  padding-left: 2px;
  padding-right: 0;
}

.annotationLayer .textWidgetAnnotation input.comb:focus {
  /*
   * Letter spacing is placed on the right side of each character. Hence, the
   * letter spacing of the last character may be placed outside the visible
   * area, causing horizontal scrolling. We avoid this by extending the width
   * when the element has focus and revert this when it loses focus.
   */
  width: 103%;
}

.annotationLayer .buttonWidgetAnnotation:is(.checkBox, .radioButton) input {
  -webkit-appearance: none;
     -moz-appearance: none;
          appearance: none;
}

.annotationLayer .popupTriggerArea {
  height: 100%;
  width: 100%;
}

.annotationLayer .fileAttachmentAnnotation .popupTriggerArea {
  position: absolute;
}

.annotationLayer .popupWrapper {
  position: absolute;
  font-size: calc(9px * var(--scale-factor));
  width: 100%;
  min-width: calc(180px * var(--scale-factor));
  pointer-events: none;
}

.annotationLayer .popup {
  position: absolute;
  max-width: calc(180px * var(--scale-factor));
  background-color: rgba(255, 255, 153, 1);
  box-shadow: 0 calc(2px * var(--scale-factor)) calc(5px * var(--scale-factor))
    rgba(136, 136, 136, 1);
  border-radius: calc(2px * var(--scale-factor));
  padding: calc(6px * var(--scale-factor));
  margin-left: calc(5px * var(--scale-factor));
  cursor: pointer;
  font: message-box;
  white-space: normal;
  word-wrap: break-word;
  pointer-events: auto;
}

.annotationLayer .popup > * {
  font-size: calc(9px * var(--scale-factor));
}

.annotationLayer .popup h1 {
  display: inline-block;
}

.annotationLayer .popupDate {
  display: inline-block;
  margin-left: calc(5px * var(--scale-factor));
}

.annotationLayer .popupContent {
  border-top: 1px solid rgba(51, 51, 51, 1);
  margin-top: calc(2px * var(--scale-factor));
  padding-top: calc(2px * var(--scale-factor));
}

.annotationLayer .richText > * {
  white-space: pre-wrap;
  font-size: calc(9px * var(--scale-factor));
}

.annotationLayer .highlightAnnotation,
.annotationLayer .underlineAnnotation,
.annotationLayer .squigglyAnnotation,
.annotationLayer .strikeoutAnnotation,
.annotationLayer .freeTextAnnotation,
.annotationLayer .lineAnnotation svg line,
.annotationLayer .squareAnnotation svg rect,
.annotationLayer .circleAnnotation svg ellipse,
.annotationLayer .polylineAnnotation svg polyline,
.annotationLayer .polygonAnnotation svg polygon,
.annotationLayer .caretAnnotation,
.annotationLayer .inkAnnotation svg polyline,
.annotationLayer .stampAnnotation,
.annotationLayer .fileAttachmentAnnotation {
  cursor: pointer;
}

.annotationLayer section svg {
  position: absolute;
  width: 100%;
  height: 100%;
  top: 0;
  left: 0;
}

.annotationLayer .annotationTextContent {
  position: absolute;
  width: 100%;
  height: 100%;
  opacity: 0;
  color: transparent;
  -webkit-user-select: none;
     -moz-user-select: none;
          user-select: none;
  pointer-events: none;
}

.annotationLayer .annotationTextContent span {
  width: 100%;
  display: inline-block;
}

/* Copyright 2014 Mozilla Foundation
 *
 * Licensed under the Apache License, Version 2.0 (the "License");
 * you may not use this file except in compliance with the License.
 * You may obtain a copy of the License at
 *
 *     http://www.apache.org/licenses/LICENSE-2.0
 *
 * Unless required by applicable law or agreed to in writing, software
 * distributed under the License is distributed on an "AS IS" BASIS,
 * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
 * See the License for the specific language governing permissions and
 * limitations under the License.
 */

:root {
  --react-pdf-text-layer: 1;
  --highlight-bg-color: rgba(180, 0, 170, 1);
  --highlight-selected-bg-color: rgba(0, 100, 0, 1);
}

@media screen and (forced-colors: active) {
  :root {
    --highlight-bg-color: Highlight;
    --highlight-selected-bg-color: ButtonText;
  }
}

[data-main-rotation='90'] {
  transform: rotate(90deg) translateY(-100%);
}
[data-main-rotation='180'] {
  transform: rotate(180deg) translate(-100%, -100%);
}
[data-main-rotation='270'] {
  transform: rotate(270deg) translateX(-100%);
}

.textLayer {
  position: absolute;
  text-align: initial;
  inset: 0;
  overflow: hidden;
  line-height: 1;
  -webkit-text-size-adjust: none;
     -moz-text-size-adjust: none;
          text-size-adjust: none;
  forced-color-adjust: none;
  transform-origin: 0 0;
  z-index: 2;
}

.textLayer :is(span, br) {
  color: transparent;
  position: absolute;
  white-space: pre;
  cursor: text;
  margin: 0;
  transform-origin: 0 0;
}

/* Only necessary in Google Chrome, see issue 14205, and most unfortunately
 * the problem doesn't show up in "text" reference tests. */
.textLayer span.markedContent {
  top: 0;
  height: 0;
}

.textLayer .highlight {
  margin: -1px;
  padding: 1px;
  background-color: var(--highlight-bg-color);
  border-radius: 4px;
}

.textLayer .highlight.appended {
  position: initial;
}

.textLayer .highlight.begin {
  border-radius: 4px 0 0 4px;
}

.textLayer .highlight.end {
  border-radius: 0 4px 4px 0;
}

.textLayer .highlight.middle {
  border-radius: 0;
}

.textLayer .highlight.selected {
  background-color: var(--highlight-selected-bg-color);
}

/* Avoids https://github.com/mozilla/pdf.js/issues/13840 in Chrome */
.textLayer br::-moz-selection {
  background: transparent;
}
.textLayer br::selection {
  background: transparent;
}

.textLayer .endOfContent {
  display: block;
  position: absolute;
  inset: 100% 0 0;
  z-index: -1;
  cursor: default;
  -webkit-user-select: none;
     -moz-user-select: none;
          user-select: none;
}

.textLayer .endOfContent.active {
  top: 0;
}

@font-face{font-family:KaTeX_AMS;font-style:normal;font-weight:400;src:url(assets/KaTeX_AMS-Regular.73ea273a72f4aca30ca5.woff2) format("woff2"),url(assets/KaTeX_AMS-Regular.d562e886c52f12660a41.woff) format("woff"),url(assets/KaTeX_AMS-Regular.853be92419a6c3766b9a.ttf) format("truetype")}@font-face{font-family:KaTeX_Caligraphic;font-style:normal;font-weight:700;src:url(assets/KaTeX_Caligraphic-Bold.a1abf90dfd72792a577a.woff2) format("woff2"),url(assets/KaTeX_Caligraphic-Bold.d757c535a2e5902f1325.woff) format("woff"),url(assets/KaTeX_Caligraphic-Bold.7489a2fbfb9bfe704420.ttf) format("truetype")}@font-face{font-family:KaTeX_Caligraphic;font-style:normal;font-weight:400;src:url(assets/KaTeX_Caligraphic-Regular.d6484fce1ef428d5bd94.woff2) format("woff2"),url(assets/KaTeX_Caligraphic-Regular.db074fa22cf224af93d7.woff) format("woff"),url(assets/KaTeX_Caligraphic-Regular.7e873d3833eb108a0758.ttf) format("truetype")}@font-face{font-family:KaTeX_Fraktur;font-style:normal;font-weight:700;src:url(assets/KaTeX_Fraktur-Bold.931d67ea207ab37ee693.woff2) format("woff2"),url(assets/KaTeX_Fraktur-Bold.354501bac435c3264834.woff) format("woff"),url(assets/KaTeX_Fraktur-Bold.4c761b3711973ab04edf.ttf) format("truetype")}@font-face{font-family:KaTeX_Fraktur;font-style:normal;font-weight:400;src:url(assets/KaTeX_Fraktur-Regular.172d3529b26f8cedef6b.woff2) format("woff2"),url(assets/KaTeX_Fraktur-Regular.6fdf0ac577be0ba82a4c.woff) format("woff"),url(assets/KaTeX_Fraktur-Regular.ed305b5434865e06ffde.ttf) format("truetype")}@font-face{font-family:KaTeX_Main;font-style:normal;font-weight:700;src:url(assets/KaTeX_Main-Bold.39890742bc957b368704.woff2) format("woff2"),url(assets/KaTeX_Main-Bold.0c3b8929d377c0e9b2f3.woff) format("woff"),url(assets/KaTeX_Main-Bold.8169508bf58f8bd92ad8.ttf) format("truetype")}@font-face{font-family:KaTeX_Main;font-style:italic;font-weight:700;src:url(assets/KaTeX_Main-BoldItalic.20f389c4120be058d80a.woff2) format("woff2"),url(assets/KaTeX_Main-BoldItalic.428978dc7837d46de091.woff) format("woff"),url(assets/KaTeX_Main-BoldItalic.828abcb200061cffbaae.ttf) format("truetype")}@font-face{font-family:KaTeX_Main;font-style:italic;font-weight:400;src:url(assets/KaTeX_Main-Italic.fe2176f79edaa716e621.woff2) format("woff2"),url(assets/KaTeX_Main-Italic.fd947498bc16392e76c2.woff) format("woff"),url(assets/KaTeX_Main-Italic.fa675e5e4bec9eb250b6.ttf) format("truetype")}@font-face{font-family:KaTeX_Main;font-style:normal;font-weight:400;src:url(assets/KaTeX_Main-Regular.f650f111a3b890d116f1.woff2) format("woff2"),url(assets/KaTeX_Main-Regular.4f35fbcc9ee8614c2bcc.woff) format("woff"),url(assets/KaTeX_Main-Regular.9eba1d77abcf2aa6e94e.ttf) format("truetype")}@font-face{font-family:KaTeX_Math;font-style:italic;font-weight:700;src:url(assets/KaTeX_Math-BoldItalic.dcbcbd93bac0470b462d.woff2) format("woff2"),url(assets/KaTeX_Math-BoldItalic.3f07ed67f06c720120ce.woff) format("woff"),url(assets/KaTeX_Math-BoldItalic.bf2d440b3a42ea78a998.ttf) format("truetype")}@font-face{font-family:KaTeX_Math;font-style:italic;font-weight:400;src:url(assets/KaTeX_Math-Italic.6d3d25f4820d0da8f01f.woff2) format("woff2"),url(assets/KaTeX_Math-Italic.96759856b4e70f3a8338.woff) format("woff"),url(assets/KaTeX_Math-Italic.8a5f936332e8028c7278.ttf) format("truetype")}@font-face{font-family:"KaTeX_SansSerif";font-style:normal;font-weight:700;src:url(assets/KaTeX_SansSerif-Bold.95591a929f0d32aa282a.woff2) format("woff2"),url(assets/KaTeX_SansSerif-Bold.b9cd458ac6d5889ff9c3.woff) format("woff"),url(assets/KaTeX_SansSerif-Bold.5b49f4993ae22d7975b4.ttf) format("truetype")}@font-face{font-family:"KaTeX_SansSerif";font-style:italic;font-weight:400;src:url(assets/KaTeX_SansSerif-Italic.7d393d382f3e7fb1c637.woff2) format("woff2"),url(assets/KaTeX_SansSerif-Italic.8d593cfaa96238d5e2f8.woff) format("woff"),url(assets/KaTeX_SansSerif-Italic.b257a18c016f37ee4543.ttf) format("truetype")}@font-face{font-family:"KaTeX_SansSerif";font-style:normal;font-weight:400;src:url(assets/KaTeX_SansSerif-Regular.cd5e231e0cc53b2cb2c0.woff2) format("woff2"),url(assets/KaTeX_SansSerif-Regular.02271ec5cb9f5b4588ac.woff) format("woff"),url(assets/KaTeX_SansSerif-Regular.2f7bc363fc5424ebda59.ttf) format("truetype")}@font-face{font-family:KaTeX_Script;font-style:normal;font-weight:400;src:url(assets/KaTeX_Script-Regular.c81d1b2a4b75d3eded60.woff2) format("woff2"),url(assets/KaTeX_Script-Regular.073b3402d036714b4370.woff) format("woff"),url(assets/KaTeX_Script-Regular.fc9ba5249878cd8f8d88.ttf) format("truetype")}@font-face{font-family:KaTeX_Size1;font-style:normal;font-weight:400;src:url(assets/KaTeX_Size1-Regular.6eec866c69313624be60.woff2) format("woff2"),url(assets/KaTeX_Size1-Regular.0108e89c9003e8c14ea3.woff) format("woff"),url(assets/KaTeX_Size1-Regular.6de7d4b539221a49e9e2.ttf) format("truetype")}@font-face{font-family:KaTeX_Size2;font-style:normal;font-weight:400;src:url(assets/KaTeX_Size2-Regular.2960900c4f271311eb36.woff2) format("woff2"),url(assets/KaTeX_Size2-Regular.3a99e70aee4076660d38.woff) format("woff"),url(assets/KaTeX_Size2-Regular.57f5c1837853986ea1db.ttf) format("truetype")}@font-face{font-family:KaTeX_Size3;font-style:normal;font-weight:400;src:url(assets/KaTeX_Size3-Regular.e1951519f6f0596f7356.woff2) format("woff2"),url(assets/KaTeX_Size3-Regular.7947224e8a9914fa332b.woff) format("woff"),url(assets/KaTeX_Size3-Regular.8d6b6822586eea3d3b20.ttf) format("truetype")}@font-face{font-family:KaTeX_Size4;font-style:normal;font-weight:400;src:url(assets/KaTeX_Size4-Regular.e418bf257af1052628d8.woff2) format("woff2"),url(assets/KaTeX_Size4-Regular.aeffd8025cba3647f1a6.woff) format("woff"),url(assets/KaTeX_Size4-Regular.4ad7c7e8bb8d10a34bb7.ttf) format("truetype")}@font-face{font-family:KaTeX_Typewriter;font-style:normal;font-weight:400;src:url(assets/KaTeX_Typewriter-Regular.c295e7f71970f03c0549.woff2) format("woff2"),url(assets/KaTeX_Typewriter-Regular.4c6b94fd1d07f8beff7c.woff) format("woff"),url(assets/KaTeX_Typewriter-Regular.c5c02d763c89380dcb4e.ttf) format("truetype")}.katex{font:normal 1.21em KaTeX_Main,Times New Roman,serif;line-height:1.2;text-indent:0;text-rendering:auto}.katex *{-ms-high-contrast-adjust:none!important;border-color:currentColor}.katex .katex-version:after{content:"0.16.22"}.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:-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 .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 .mathsfit,.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:.2777777778em;margin-right:-.5555555556em}.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:.8333333333em}.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:1.1666666667em}.katex .fontsize-ensurer.reset-size2.size4,.katex .sizing.reset-size2.size4{font-size:1.3333333333em}.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:1.6666666667em}.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:3.4566666667em}.katex .fontsize-ensurer.reset-size2.size11,.katex .sizing.reset-size2.size11{font-size:4.1466666667em}.katex .fontsize-ensurer.reset-size3.size1,.katex .sizing.reset-size3.size1{font-size:.7142857143em}.katex .fontsize-ensurer.reset-size3.size2,.katex .sizing.reset-size3.size2{font-size:.8571428571em}.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:1.1428571429em}.katex .fontsize-ensurer.reset-size3.size5,.katex .sizing.reset-size3.size5{font-size:1.2857142857em}.katex .fontsize-ensurer.reset-size3.size6,.katex .sizing.reset-size3.size6{font-size:1.4285714286em}.katex .fontsize-ensurer.reset-size3.size7,.katex .sizing.reset-size3.size7{font-size:1.7142857143em}.katex .fontsize-ensurer.reset-size3.size8,.katex .sizing.reset-size3.size8{font-size:2.0571428571em}.katex .fontsize-ensurer.reset-size3.size9,.katex .sizing.reset-size3.size9{font-size:2.4685714286em}.katex .fontsize-ensurer.reset-size3.size10,.katex .sizing.reset-size3.size10{font-size:2.9628571429em}.katex .fontsize-ensurer.reset-size3.size11,.katex .sizing.reset-size3.size11{font-size:3.5542857143em}.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:.5555555556em}.katex .fontsize-ensurer.reset-size5.size2,.katex .sizing.reset-size5.size2{font-size:.6666666667em}.katex .fontsize-ensurer.reset-size5.size3,.katex .sizing.reset-size5.size3{font-size:.7777777778em}.katex .fontsize-ensurer.reset-size5.size4,.katex .sizing.reset-size5.size4{font-size:.8888888889em}.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:1.1111111111em}.katex .fontsize-ensurer.reset-size5.size7,.katex .sizing.reset-size5.size7{font-size:1.3333333333em}.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:2.3044444444em}.katex .fontsize-ensurer.reset-size5.size11,.katex .sizing.reset-size5.size11{font-size:2.7644444444em}.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:.4166666667em}.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:.5833333333em}.katex .fontsize-ensurer.reset-size7.size4,.katex .sizing.reset-size7.size4{font-size:.6666666667em}.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:.8333333333em}.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:1.7283333333em}.katex .fontsize-ensurer.reset-size7.size11,.katex .sizing.reset-size7.size11{font-size:2.0733333333em}.katex .fontsize-ensurer.reset-size8.size1,.katex .sizing.reset-size8.size1{font-size:.3472222222em}.katex .fontsize-ensurer.reset-size8.size2,.katex .sizing.reset-size8.size2{font-size:.4166666667em}.katex .fontsize-ensurer.reset-size8.size3,.katex .sizing.reset-size8.size3{font-size:.4861111111em}.katex .fontsize-ensurer.reset-size8.size4,.katex .sizing.reset-size8.size4{font-size:.5555555556em}.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:.6944444444em}.katex .fontsize-ensurer.reset-size8.size7,.katex .sizing.reset-size8.size7{font-size:.8333333333em}.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:1.4402777778em}.katex .fontsize-ensurer.reset-size8.size11,.katex .sizing.reset-size8.size11{font-size:1.7277777778em}.katex .fontsize-ensurer.reset-size9.size1,.katex .sizing.reset-size9.size1{font-size:.2893518519em}.katex .fontsize-ensurer.reset-size9.size2,.katex .sizing.reset-size9.size2{font-size:.3472222222em}.katex .fontsize-ensurer.reset-size9.size3,.katex .sizing.reset-size9.size3{font-size:.4050925926em}.katex .fontsize-ensurer.reset-size9.size4,.katex .sizing.reset-size9.size4{font-size:.462962963em}.katex .fontsize-ensurer.reset-size9.size5,.katex .sizing.reset-size9.size5{font-size:.5208333333em}.katex .fontsize-ensurer.reset-size9.size6,.katex .sizing.reset-size9.size6{font-size:.5787037037em}.katex .fontsize-ensurer.reset-size9.size7,.katex .sizing.reset-size9.size7{font-size:.6944444444em}.katex .fontsize-ensurer.reset-size9.size8,.katex .sizing.reset-size9.size8{font-size:.8333333333em}.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:1.2002314815em}.katex .fontsize-ensurer.reset-size9.size11,.katex .sizing.reset-size9.size11{font-size:1.4398148148em}.katex .fontsize-ensurer.reset-size10.size1,.katex .sizing.reset-size10.size1{font-size:.2410800386em}.katex .fontsize-ensurer.reset-size10.size2,.katex .sizing.reset-size10.size2{font-size:.2892960463em}.katex .fontsize-ensurer.reset-size10.size3,.katex .sizing.reset-size10.size3{font-size:.337512054em}.katex .fontsize-ensurer.reset-size10.size4,.katex .sizing.reset-size10.size4{font-size:.3857280617em}.katex .fontsize-ensurer.reset-size10.size5,.katex .sizing.reset-size10.size5{font-size:.4339440694em}.katex .fontsize-ensurer.reset-size10.size6,.katex .sizing.reset-size10.size6{font-size:.4821600771em}.katex .fontsize-ensurer.reset-size10.size7,.katex .sizing.reset-size10.size7{font-size:.5785920926em}.katex .fontsize-ensurer.reset-size10.size8,.katex .sizing.reset-size10.size8{font-size:.6943105111em}.katex .fontsize-ensurer.reset-size10.size9,.katex .sizing.reset-size10.size9{font-size:.8331726133em}.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:1.1996142719em}.katex .fontsize-ensurer.reset-size11.size1,.katex .sizing.reset-size11.size1{font-size:.2009646302em}.katex .fontsize-ensurer.reset-size11.size2,.katex .sizing.reset-size11.size2{font-size:.2411575563em}.katex .fontsize-ensurer.reset-size11.size3,.katex .sizing.reset-size11.size3{font-size:.2813504823em}.katex .fontsize-ensurer.reset-size11.size4,.katex .sizing.reset-size11.size4{font-size:.3215434084em}.katex .fontsize-ensurer.reset-size11.size5,.katex .sizing.reset-size11.size5{font-size:.3617363344em}.katex .fontsize-ensurer.reset-size11.size6,.katex .sizing.reset-size11.size6{font-size:.4019292605em}.katex .fontsize-ensurer.reset-size11.size7,.katex .sizing.reset-size11.size7{font-size:.4823151125em}.katex .fontsize-ensurer.reset-size11.size8,.katex .sizing.reset-size11.size8{font-size:.578778135em}.katex .fontsize-ensurer.reset-size11.size9,.katex .sizing.reset-size11.size9{font-size:.6945337621em}.katex .fontsize-ensurer.reset-size11.size10,.katex .sizing.reset-size11.size10{font-size:.8336012862em}.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}

