/* BASICS */

.CodeMirror {
  /* Set height, width, borders, and global font properties here */
  font-family: monospace;
  height: 300px;
  color: black;
  direction: ltr;
}

/* PADDING */

.CodeMirror-lines {
  padding: 4px 0; /* Vertical padding around content */
}

.CodeMirror pre.CodeMirror-line,
.CodeMirror pre.CodeMirror-line-like {
  padding: 0 4px; /* Horizontal padding of content */
}

.CodeMirror-scrollbar-filler, .CodeMirror-gutter-filler {
  background-color: white; /* The little square between H and V scrollbars */
}

/* GUTTER */

.CodeMirror-gutters {
  border-right: 1px solid #ddd;
  background-color: #f7f7f7;
  white-space: nowrap;
}

.CodeMirror-linenumbers {}

.CodeMirror-linenumber {
  padding: 0 3px 0 5px;
  min-width: 20px;
  text-align: right;
  color: #999;
  white-space: nowrap;
}

.CodeMirror-guttermarker { color: black; }

.CodeMirror-guttermarker-subtle { color: #999; }

/* CURSOR */

.CodeMirror-cursor {
  border-left: 1px solid black;
  border-right: none;
  width: 0;
}

/* Shown when moving in bi-directional text */

.CodeMirror div.CodeMirror-secondarycursor {
  border-left: 1px solid silver;
}

.cm-fat-cursor .CodeMirror-cursor {
  width: auto;
  border: 0 !important;
  background: #7e7;
}

.cm-fat-cursor div.CodeMirror-cursors {
  z-index: 1;
}

.cm-fat-cursor .CodeMirror-line::-moz-selection, .cm-fat-cursor .CodeMirror-line > span::-moz-selection, .cm-fat-cursor .CodeMirror-line > span > span::-moz-selection { background: transparent; }

.cm-fat-cursor .CodeMirror-line::selection,
.cm-fat-cursor .CodeMirror-line > span::selection, 
.cm-fat-cursor .CodeMirror-line > span > span::selection { background: transparent; }

.cm-fat-cursor .CodeMirror-line::-moz-selection,
.cm-fat-cursor .CodeMirror-line > span::-moz-selection,
.cm-fat-cursor .CodeMirror-line > span > span::-moz-selection { background: transparent; }

.cm-fat-cursor { caret-color: transparent; }

@keyframes blink {
  0% {}
  50% { background-color: transparent; }
  100% {}
}

/* Can style cursor different in overwrite (non-insert) mode */

.CodeMirror-overwrite .CodeMirror-cursor {}

.cm-tab { display: inline-block; text-decoration: inherit; }

.CodeMirror-rulers {
  position: absolute;
  left: 0; right: 0; top: -50px; bottom: 0;
  overflow: hidden;
}

.CodeMirror-ruler {
  border-left: 1px solid #ccc;
  top: 0; bottom: 0;
  position: absolute;
}

/* DEFAULT THEME */

.cm-s-default .cm-header {color: blue;}

.cm-s-default .cm-quote {color: #090;}

.cm-negative {color: #d44;}

.cm-positive {color: #292;}

.cm-header, .cm-strong {font-weight: bold;}

.cm-em {font-style: italic;}

.cm-link {text-decoration: underline;}

.cm-strikethrough {text-decoration: line-through;}

.cm-s-default .cm-keyword {color: #708;}

.cm-s-default .cm-atom {color: #219;}

.cm-s-default .cm-number {color: #164;}

.cm-s-default .cm-def {color: #00f;}

.cm-s-default .cm-variable,
.cm-s-default .cm-punctuation,
.cm-s-default .cm-property,
.cm-s-default .cm-operator {}

.cm-s-default .cm-variable-2 {color: #05a;}

.cm-s-default .cm-variable-3, .cm-s-default .cm-type {color: #085;}

.cm-s-default .cm-comment {color: #a50;}

.cm-s-default .cm-string {color: #a11;}

.cm-s-default .cm-string-2 {color: #f50;}

.cm-s-default .cm-meta {color: #555;}

.cm-s-default .cm-qualifier {color: #555;}

.cm-s-default .cm-builtin {color: #30a;}

.cm-s-default .cm-bracket {color: #997;}

.cm-s-default .cm-tag {color: #170;}

.cm-s-default .cm-attribute {color: #00c;}

.cm-s-default .cm-hr {color: #999;}

.cm-s-default .cm-link {color: #00c;}

.cm-s-default .cm-error {color: #f00;}

.cm-invalidchar {color: #f00;}

.CodeMirror-composing { border-bottom: 2px solid; }

/* Default styles for common addons */

div.CodeMirror span.CodeMirror-matchingbracket {color: #0b0;}

div.CodeMirror span.CodeMirror-nonmatchingbracket {color: #a22;}

.CodeMirror-matchingtag { background: rgba(255, 150, 0, .3); }

.CodeMirror-activeline-background {background: #e8f2ff;}

/* STOP */

/* The rest of this file contains styles related to the mechanics of
   the editor. You probably shouldn't touch them. */

.CodeMirror {
  position: relative;
  overflow: hidden;
  background: white;
}

.CodeMirror-scroll {
  overflow: scroll !important; /* Things will break if this is overridden */
  /* 50px is the magic margin used to hide the element's real scrollbars */
  /* See overflow: hidden in .CodeMirror */
  margin-bottom: -50px; margin-right: -50px;
  padding-bottom: 50px;
  height: 100%;
  outline: none; /* Prevent dragging from highlighting the element */
  position: relative;
  z-index: 0;
}

.CodeMirror-sizer {
  position: relative;
  border-right: 50px solid transparent;
}

/* The fake, visible scrollbars. Used to force redraw during scrolling
   before actual scrolling happens, thus preventing shaking and
   flickering artifacts. */

.CodeMirror-vscrollbar, .CodeMirror-hscrollbar, .CodeMirror-scrollbar-filler, .CodeMirror-gutter-filler {
  position: absolute;
  z-index: 6;
  display: none;
  outline: none;
}

.CodeMirror-vscrollbar {
  right: 0; top: 0;
  overflow-x: hidden;
  overflow-y: scroll;
}

.CodeMirror-hscrollbar {
  bottom: 0; left: 0;
  overflow-y: hidden;
  overflow-x: scroll;
}

.CodeMirror-scrollbar-filler {
  right: 0; bottom: 0;
}

.CodeMirror-gutter-filler {
  left: 0; bottom: 0;
}

.CodeMirror-gutters {
  position: absolute; left: 0; top: 0;
  min-height: 100%;
  z-index: 3;
}

.CodeMirror-gutter {
  white-space: normal;
  height: 100%;
  display: inline-block;
  vertical-align: top;
  margin-bottom: -50px;
}

.CodeMirror-gutter-wrapper {
  position: absolute;
  z-index: 4;
  background: none !important;
  border: none !important;
}

.CodeMirror-gutter-background {
  position: absolute;
  top: 0; bottom: 0;
  z-index: 4;
}

.CodeMirror-gutter-elt {
  position: absolute;
  cursor: default;
  z-index: 4;
}

.CodeMirror-gutter-wrapper ::-moz-selection { background-color: transparent }

.CodeMirror-gutter-wrapper ::selection { background-color: transparent }

.CodeMirror-gutter-wrapper ::-moz-selection { background-color: transparent }

.CodeMirror-lines {
  cursor: text;
  min-height: 1px; /* prevents collapsing before first draw */
}

.CodeMirror pre.CodeMirror-line,
.CodeMirror pre.CodeMirror-line-like {
  /* Reset some styles that the rest of the page might have set */ border-radius: 0;
  border-width: 0;
  background: transparent;
  font-family: inherit;
  font-size: inherit;
  margin: 0;
  white-space: pre;
  word-wrap: normal;
  line-height: inherit;
  color: inherit;
  z-index: 2;
  position: relative;
  overflow: visible;
  -webkit-tap-highlight-color: transparent;
  -webkit-font-variant-ligatures: contextual;
  font-feature-settings: "calt";
  font-variant-ligatures: contextual;
}

.CodeMirror-wrap pre.CodeMirror-line,
.CodeMirror-wrap pre.CodeMirror-line-like {
  word-wrap: break-word;
  white-space: pre-wrap;
  word-break: normal;
}

.CodeMirror-linebackground {
  position: absolute;
  left: 0; right: 0; top: 0; bottom: 0;
  z-index: 0;
}

.CodeMirror-linewidget {
  position: relative;
  z-index: 2;
  padding: 0.1px; /* Force widget margins to stay inside of the container */
}

.CodeMirror-widget {}

.CodeMirror-rtl pre { direction: rtl; }

.CodeMirror-code {
  outline: none;
}

/* Force content-box sizing for the elements where we expect it */

.CodeMirror-scroll,
.CodeMirror-sizer,
.CodeMirror-gutter,
.CodeMirror-gutters,
.CodeMirror-linenumber {
  box-sizing: content-box;
}

.CodeMirror-measure {
  position: absolute;
  width: 100%;
  height: 0;
  overflow: hidden;
  visibility: hidden;
}

.CodeMirror-cursor {
  position: absolute;
  pointer-events: none;
}

.CodeMirror-measure pre { position: static; }

div.CodeMirror-cursors {
  visibility: hidden;
  position: relative;
  z-index: 3;
}

div.CodeMirror-dragcursors {
  visibility: visible;
}

.CodeMirror-focused div.CodeMirror-cursors {
  visibility: visible;
}

.CodeMirror-selected { background: #d9d9d9; }

.CodeMirror-focused .CodeMirror-selected { background: #d7d4f0; }

.CodeMirror-crosshair { cursor: crosshair; }

.CodeMirror-line::-moz-selection, .CodeMirror-line > span::-moz-selection, .CodeMirror-line > span > span::-moz-selection { background: #d7d4f0; }

.CodeMirror-line::selection, .CodeMirror-line > span::selection, .CodeMirror-line > span > span::selection { background: #d7d4f0; }

.CodeMirror-line::-moz-selection, .CodeMirror-line > span::-moz-selection, .CodeMirror-line > span > span::-moz-selection { background: #d7d4f0; }

.cm-searching {
  background-color: #ffa;
  background-color: rgba(255, 255, 0, .4);
}

/* Used to force a border model for a node */

.cm-force-border { padding-right: .1px; }

@media print {
  /* Hide the cursor when printing */
  .CodeMirror div.CodeMirror-cursors {
    visibility: hidden;
  }
}

/* See issue #2901 */

.cm-tab-wrap-hack:after { content: ''; }

/* Help users use markselection to safely style text background */

span.CodeMirror-selectedtext { background: none; }

/*
  Name:       material
  Author:     Mattia Astorino (http://github.com/equinusocio)
  Website:    https://material-theme.site/
*/

.cm-s-material.CodeMirror {
  background-color: #263238;
  color: #EEFFFF;
}

.cm-s-material .CodeMirror-gutters {
  background: #263238;
  color: #546E7A;
  border: none;
}

.cm-s-material .CodeMirror-guttermarker,
.cm-s-material .CodeMirror-guttermarker-subtle,
.cm-s-material .CodeMirror-linenumber {
  color: #546E7A;
}

.cm-s-material .CodeMirror-cursor {
  border-left: 1px solid #FFCC00;
}

.cm-s-material.cm-fat-cursor .CodeMirror-cursor {
  background-color: #5d6d5c80 !important;
}

.cm-s-material .cm-animate-fat-cursor {
  background-color: #5d6d5c80 !important;
}

.cm-s-material div.CodeMirror-selected {
  background: rgba(128, 203, 196, 0.2);
}

.cm-s-material.CodeMirror-focused div.CodeMirror-selected {
  background: rgba(128, 203, 196, 0.2);
}

.cm-s-material .CodeMirror-line::-moz-selection, .cm-s-material .CodeMirror-line>span::-moz-selection, .cm-s-material .CodeMirror-line>span>span::-moz-selection {
  background: rgba(128, 203, 196, 0.2);
}

.cm-s-material .CodeMirror-line::selection,
.cm-s-material .CodeMirror-line>span::selection,
.cm-s-material .CodeMirror-line>span>span::selection {
  background: rgba(128, 203, 196, 0.2);
}

.cm-s-material .CodeMirror-line::-moz-selection,
.cm-s-material .CodeMirror-line>span::-moz-selection,
.cm-s-material .CodeMirror-line>span>span::-moz-selection {
  background: rgba(128, 203, 196, 0.2);
}

.cm-s-material .CodeMirror-activeline-background {
  background: rgba(0, 0, 0, 0.5);
}

.cm-s-material .cm-keyword {
  color: #C792EA;
}

.cm-s-material .cm-operator {
  color: #89DDFF;
}

.cm-s-material .cm-variable-2 {
  color: #EEFFFF;
}

.cm-s-material .cm-variable-3,
.cm-s-material .cm-type {
  color: #f07178;
}

.cm-s-material .cm-builtin {
  color: #FFCB6B;
}

.cm-s-material .cm-atom {
  color: #F78C6C;
}

.cm-s-material .cm-number {
  color: #FF5370;
}

.cm-s-material .cm-def {
  color: #82AAFF;
}

.cm-s-material .cm-string {
  color: #C3E88D;
}

.cm-s-material .cm-string-2 {
  color: #f07178;
}

.cm-s-material .cm-comment {
  color: #546E7A;
}

.cm-s-material .cm-variable {
  color: #f07178;
}

.cm-s-material .cm-tag {
  color: #FF5370;
}

.cm-s-material .cm-meta {
  color: #FFCB6B;
}

.cm-s-material .cm-attribute {
  color: #C792EA;
}

.cm-s-material .cm-property {
  color: #C792EA;
}

.cm-s-material .cm-qualifier {
  color: #DECB6B;
}

.cm-s-material .cm-variable-3,
.cm-s-material .cm-type {
  color: #DECB6B;
}

.cm-s-material .cm-error {
  color: rgba(255, 255, 255, 1.0);
  background-color: #FF5370;
}

.cm-s-material .CodeMirror-matchingbracket {
  text-decoration: underline;
  color: white !important;
}

@font-face{font-display:block;font-family:KaTeX_AMS;font-style:normal;font-weight:400;src:url(/packs/static/katex/dist/fonts/KaTeX_AMS-Regular-73ea273a72f4aca30ca5.woff2) format("woff2"),url(/packs/static/katex/dist/fonts/KaTeX_AMS-Regular-d562e886c52f12660a41.woff) format("woff"),url(/packs/static/katex/dist/fonts/KaTeX_AMS-Regular-853be92419a6c3766b9a.ttf) format("truetype")}@font-face{font-display:block;font-family:KaTeX_Caligraphic;font-style:normal;font-weight:700;src:url(/packs/static/katex/dist/fonts/KaTeX_Caligraphic-Bold-a1abf90dfd72792a577a.woff2) format("woff2"),url(/packs/static/katex/dist/fonts/KaTeX_Caligraphic-Bold-d757c535a2e5902f1325.woff) format("woff"),url(/packs/static/katex/dist/fonts/KaTeX_Caligraphic-Bold-7489a2fbfb9bfe704420.ttf) format("truetype")}@font-face{font-display:block;font-family:KaTeX_Caligraphic;font-style:normal;font-weight:400;src:url(/packs/static/katex/dist/fonts/KaTeX_Caligraphic-Regular-d6484fce1ef428d5bd94.woff2) format("woff2"),url(/packs/static/katex/dist/fonts/KaTeX_Caligraphic-Regular-db074fa22cf224af93d7.woff) format("woff"),url(/packs/static/katex/dist/fonts/KaTeX_Caligraphic-Regular-7e873d3833eb108a0758.ttf) format("truetype")}@font-face{font-display:block;font-family:KaTeX_Fraktur;font-style:normal;font-weight:700;src:url(/packs/static/katex/dist/fonts/KaTeX_Fraktur-Bold-931d67ea207ab37ee693.woff2) format("woff2"),url(/packs/static/katex/dist/fonts/KaTeX_Fraktur-Bold-354501bac435c3264834.woff) format("woff"),url(/packs/static/katex/dist/fonts/KaTeX_Fraktur-Bold-4c761b3711973ab04edf.ttf) format("truetype")}@font-face{font-display:block;font-family:KaTeX_Fraktur;font-style:normal;font-weight:400;src:url(/packs/static/katex/dist/fonts/KaTeX_Fraktur-Regular-172d3529b26f8cedef6b.woff2) format("woff2"),url(/packs/static/katex/dist/fonts/KaTeX_Fraktur-Regular-6fdf0ac577be0ba82a4c.woff) format("woff"),url(/packs/static/katex/dist/fonts/KaTeX_Fraktur-Regular-ed305b5434865e06ffde.ttf) format("truetype")}@font-face{font-display:block;font-family:KaTeX_Main;font-style:normal;font-weight:700;src:url(/packs/static/katex/dist/fonts/KaTeX_Main-Bold-39890742bc957b368704.woff2) format("woff2"),url(/packs/static/katex/dist/fonts/KaTeX_Main-Bold-0c3b8929d377c0e9b2f3.woff) format("woff"),url(/packs/static/katex/dist/fonts/KaTeX_Main-Bold-8169508bf58f8bd92ad8.ttf) format("truetype")}@font-face{font-display:block;font-family:KaTeX_Main;font-style:italic;font-weight:700;src:url(/packs/static/katex/dist/fonts/KaTeX_Main-BoldItalic-20f389c4120be058d80a.woff2) format("woff2"),url(/packs/static/katex/dist/fonts/KaTeX_Main-BoldItalic-428978dc7837d46de091.woff) format("woff"),url(/packs/static/katex/dist/fonts/KaTeX_Main-BoldItalic-828abcb200061cffbaae.ttf) format("truetype")}@font-face{font-display:block;font-family:KaTeX_Main;font-style:italic;font-weight:400;src:url(/packs/static/katex/dist/fonts/KaTeX_Main-Italic-fe2176f79edaa716e621.woff2) format("woff2"),url(/packs/static/katex/dist/fonts/KaTeX_Main-Italic-fd947498bc16392e76c2.woff) format("woff"),url(/packs/static/katex/dist/fonts/KaTeX_Main-Italic-fa675e5e4bec9eb250b6.ttf) format("truetype")}@font-face{font-display:block;font-family:KaTeX_Main;font-style:normal;font-weight:400;src:url(/packs/static/katex/dist/fonts/KaTeX_Main-Regular-f650f111a3b890d116f1.woff2) format("woff2"),url(/packs/static/katex/dist/fonts/KaTeX_Main-Regular-4f35fbcc9ee8614c2bcc.woff) format("woff"),url(/packs/static/katex/dist/fonts/KaTeX_Main-Regular-9eba1d77abcf2aa6e94e.ttf) format("truetype")}@font-face{font-display:block;font-family:KaTeX_Math;font-style:italic;font-weight:700;src:url(/packs/static/katex/dist/fonts/KaTeX_Math-BoldItalic-dcbcbd93bac0470b462d.woff2) format("woff2"),url(/packs/static/katex/dist/fonts/KaTeX_Math-BoldItalic-3f07ed67f06c720120ce.woff) format("woff"),url(/packs/static/katex/dist/fonts/KaTeX_Math-BoldItalic-bf2d440b3a42ea78a998.ttf) format("truetype")}@font-face{font-display:block;font-family:KaTeX_Math;font-style:italic;font-weight:400;src:url(/packs/static/katex/dist/fonts/KaTeX_Math-Italic-6d3d25f4820d0da8f01f.woff2) format("woff2"),url(/packs/static/katex/dist/fonts/KaTeX_Math-Italic-96759856b4e70f3a8338.woff) format("woff"),url(/packs/static/katex/dist/fonts/KaTeX_Math-Italic-8a5f936332e8028c7278.ttf) format("truetype")}@font-face{font-display:block;font-family:"KaTeX_SansSerif";font-style:normal;font-weight:700;src:url(/packs/static/katex/dist/fonts/KaTeX_SansSerif-Bold-95591a929f0d32aa282a.woff2) format("woff2"),url(/packs/static/katex/dist/fonts/KaTeX_SansSerif-Bold-b9cd458ac6d5889ff9c3.woff) format("woff"),url(/packs/static/katex/dist/fonts/KaTeX_SansSerif-Bold-5b49f4993ae22d7975b4.ttf) format("truetype")}@font-face{font-display:block;font-family:"KaTeX_SansSerif";font-style:italic;font-weight:400;src:url(/packs/static/katex/dist/fonts/KaTeX_SansSerif-Italic-7d393d382f3e7fb1c637.woff2) format("woff2"),url(/packs/static/katex/dist/fonts/KaTeX_SansSerif-Italic-8d593cfaa96238d5e2f8.woff) format("woff"),url(/packs/static/katex/dist/fonts/KaTeX_SansSerif-Italic-b257a18c016f37ee4543.ttf) format("truetype")}@font-face{font-display:block;font-family:"KaTeX_SansSerif";font-style:normal;font-weight:400;src:url(/packs/static/katex/dist/fonts/KaTeX_SansSerif-Regular-cd5e231e0cc53b2cb2c0.woff2) format("woff2"),url(/packs/static/katex/dist/fonts/KaTeX_SansSerif-Regular-02271ec5cb9f5b4588ac.woff) format("woff"),url(/packs/static/katex/dist/fonts/KaTeX_SansSerif-Regular-2f7bc363fc5424ebda59.ttf) format("truetype")}@font-face{font-display:block;font-family:KaTeX_Script;font-style:normal;font-weight:400;src:url(/packs/static/katex/dist/fonts/KaTeX_Script-Regular-c81d1b2a4b75d3eded60.woff2) format("woff2"),url(/packs/static/katex/dist/fonts/KaTeX_Script-Regular-073b3402d036714b4370.woff) format("woff"),url(/packs/static/katex/dist/fonts/KaTeX_Script-Regular-fc9ba5249878cd8f8d88.ttf) format("truetype")}@font-face{font-display:block;font-family:KaTeX_Size1;font-style:normal;font-weight:400;src:url(/packs/static/katex/dist/fonts/KaTeX_Size1-Regular-6eec866c69313624be60.woff2) format("woff2"),url(/packs/static/katex/dist/fonts/KaTeX_Size1-Regular-0108e89c9003e8c14ea3.woff) format("woff"),url(/packs/static/katex/dist/fonts/KaTeX_Size1-Regular-6de7d4b539221a49e9e2.ttf) format("truetype")}@font-face{font-display:block;font-family:KaTeX_Size2;font-style:normal;font-weight:400;src:url(/packs/static/katex/dist/fonts/KaTeX_Size2-Regular-2960900c4f271311eb36.woff2) format("woff2"),url(/packs/static/katex/dist/fonts/KaTeX_Size2-Regular-3a99e70aee4076660d38.woff) format("woff"),url(/packs/static/katex/dist/fonts/KaTeX_Size2-Regular-57f5c1837853986ea1db.ttf) format("truetype")}@font-face{font-display:block;font-family:KaTeX_Size3;font-style:normal;font-weight:400;src:url(/packs/static/katex/dist/fonts/KaTeX_Size3-Regular-e1951519f6f0596f7356.woff2) format("woff2"),url(/packs/static/katex/dist/fonts/KaTeX_Size3-Regular-7947224e8a9914fa332b.woff) format("woff"),url(/packs/static/katex/dist/fonts/KaTeX_Size3-Regular-8d6b6822586eea3d3b20.ttf) format("truetype")}@font-face{font-display:block;font-family:KaTeX_Size4;font-style:normal;font-weight:400;src:url(/packs/static/katex/dist/fonts/KaTeX_Size4-Regular-e418bf257af1052628d8.woff2) format("woff2"),url(/packs/static/katex/dist/fonts/KaTeX_Size4-Regular-aeffd8025cba3647f1a6.woff) format("woff"),url(/packs/static/katex/dist/fonts/KaTeX_Size4-Regular-4ad7c7e8bb8d10a34bb7.ttf) format("truetype")}@font-face{font-display:block;font-family:KaTeX_Typewriter;font-style:normal;font-weight:400;src:url(/packs/static/katex/dist/fonts/KaTeX_Typewriter-Regular-c295e7f71970f03c0549.woff2) format("woff2"),url(/packs/static/katex/dist/fonts/KaTeX_Typewriter-Regular-4c6b94fd1d07f8beff7c.woff) format("woff"),url(/packs/static/katex/dist/fonts/KaTeX_Typewriter-Regular-c5c02d763c89380dcb4e.ttf) format("truetype")}.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;border-color:currentColor}.katex .katex-version:after{content:"0.16.47"}.katex .katex-mathml{border:0;clip-path:inset(50%);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 .smash{display:inline;line-height:0}.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;display:block;height:inherit;position:absolute;width:100%}.katex svg path{stroke:none}.katex svg{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}.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}


/*# sourceMappingURL=407-698015c7.css.map*/