/* KaTeX styles for Alipay mini-program.
 * Adapted from KaTeX 0.16.x CSS. Replaces Less @import/@variable with plain CSS,
 * replaces '>' child combinators with ' ' (descendant) for mini-program compat,
 * fonts are registered on demand by loadFontFace from packaged katex-fonts/*.ttf. */

/* --- KaTeX core styles --- */
/* Note: '>' child combinators replaced with ' ' (descendant) for mini-program compat */

.katex {
  display: inline-block;
  font-family: "KaTeX_Main", "PingFang SC", "Helvetica Neue", Helvetica, Arial, sans-serif;
  font-size: 1em;
  font-weight: normal;
  line-height: 1.2;
  text-indent: 0;
  text-rendering: auto;
  -webkit-font-smoothing: antialiased;
}

/* mini-program 无原生 <span>，KaTeX 节点渲染为 <view>/<text>；未带显式 display
   的原子默认 inline-block，结构性 class 规则（.base/.vlist* 等）按特异性覆盖。 */
.katex view { display: inline-block; vertical-align: baseline; }

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

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

.katex .base {
  position: relative;
  display: inline-block;
  white-space: nowrap;
  width: auto;
  min-width: auto;
}

.katex .strut {
  display: inline-block;
}

.katex .textbf { font-weight: bold; }
.katex .textit { font-style: italic; }
.katex .textrm { font-family: "KaTeX_Main"; }
.katex .textsf { font-family: "KaTeX_SansSerif"; }
.katex .texttt { font-family: "KaTeX_Typewriter"; }
.katex .mathnormal { font-family: "KaTeX_Math"; font-style: italic; }
.katex .mathit { font-family: "KaTeX_Main"; font-style: italic; }
.katex .mathrm { font-style: normal; }
.katex .mathbf { font-family: "KaTeX_Main"; font-weight: bold; }
.katex .boldsymbol { font-family: "KaTeX_Math"; font-weight: bold; font-style: italic; }
.katex .amsrm { font-family: "KaTeX_AMS"; }
.katex .mathbb, .katex .textbb { font-family: "KaTeX_AMS"; }
.katex .mathcal { font-family: "KaTeX_Caligraphic"; }
.katex .mathfrak, .katex .textfrak { font-family: "KaTeX_Fraktur"; }
.katex .mathboldfrak, .katex .textboldfrak { font-family: "KaTeX_Fraktur"; font-weight: bold; }
.katex .mathtt { font-family: "KaTeX_Typewriter"; }
.katex .mathscr, .katex .textscr { font-family: "KaTeX_Script"; }
.katex .mathsf, .katex .textsf { font-family: "KaTeX_SansSerif"; }
.katex .mathboldsf, .katex .textboldsf { font-family: "KaTeX_SansSerif"; font-weight: bold; }
.katex .mathsfit, .katex .mathitsf, .katex .textitsf { font-family: "KaTeX_SansSerif"; font-style: italic; }
.katex .mainrm { font-family: "KaTeX_Main"; font-style: normal; }

/* 叶子 <text> 的字体指派（真机关键）。
 *
 * 真机两大坑：(a) 支付宝不把 font-family 从 <view> 祖先继承进叶子 <text>；(b) KaTeX 子树经
 * 嵌套 <mini-node-renderer> 渲染，跨组件边界的「后代选择器」（.katex .mathnormal text）在真机
 * 也不命中。所以这里不用后代选择器、也不靠继承，而是由 plugins/Latex/index.ts 的 stampFontClasses
 * 把字体意图「下沉」成 kxf-* 类、直接盖到每个字形 <text> 上，再用下面的「单类选择器」赋字体——
 * 单类命中 text 自身、在每层组件作用域内都生效（与 element 样式必须放 MiniNodeRenderer 的结论一致）。
 *
 * 每个 kxf-* → 一个「唯一 family」（真机 loadFontFace 同名 family 只认首字面，故一对一拆名，见
 * shared/loadKatexFonts.ts）。统一请求 normal/normal（同时覆盖继承来的斜/粗，避免在本身已是斜/粗
 * 的字体文件上再合成一次），斜/粗视觉由字体文件本身提供。family 名必须与 loadKatexFonts.ts 一致。 */
.katex text { font-style: normal; font-weight: normal; }
.kxf-main { font-family: "KaTeX_Main", "PingFang SC", "Helvetica Neue", Helvetica, Arial, sans-serif; font-style: normal; font-weight: normal; }
.kxf-mainbold { font-family: "KaTeX_MainBold", "PingFang SC", "Helvetica Neue", Helvetica, Arial, sans-serif; font-style: normal; font-weight: normal; }
.kxf-mainitalic { font-family: "KaTeX_MainItalic", "PingFang SC", "Helvetica Neue", Helvetica, Arial, sans-serif; font-style: normal; font-weight: normal; }
.kxf-mathitalic { font-family: "KaTeX_MathItalic", "PingFang SC", "Helvetica Neue", Helvetica, Arial, sans-serif; font-style: normal; font-weight: normal; }
.kxf-mathbolditalic { font-family: "KaTeX_MathBoldItalic", "PingFang SC", "Helvetica Neue", Helvetica, Arial, sans-serif; font-style: normal; font-weight: normal; }
.kxf-ams { font-family: "KaTeX_AMS", "PingFang SC", "Helvetica Neue", Helvetica, Arial, sans-serif; font-style: normal; font-weight: normal; }
.kxf-cal { font-family: "KaTeX_Caligraphic", "PingFang SC", "Helvetica Neue", Helvetica, Arial, sans-serif; font-style: normal; font-weight: normal; }
.kxf-frak { font-family: "KaTeX_Fraktur", "PingFang SC", "Helvetica Neue", Helvetica, Arial, sans-serif; font-style: normal; font-weight: normal; }
.kxf-frakbold { font-family: "KaTeX_FrakturBold", "PingFang SC", "Helvetica Neue", Helvetica, Arial, sans-serif; font-style: normal; font-weight: normal; }
.kxf-script { font-family: "KaTeX_Script", "PingFang SC", "Helvetica Neue", Helvetica, Arial, sans-serif; font-style: normal; font-weight: normal; }
.kxf-sf { font-family: "KaTeX_SansSerif", "PingFang SC", "Helvetica Neue", Helvetica, Arial, sans-serif; font-style: normal; font-weight: normal; }
.kxf-sfbold { font-family: "KaTeX_SansSerifBold", "PingFang SC", "Helvetica Neue", Helvetica, Arial, sans-serif; font-style: normal; font-weight: normal; }
.kxf-sfitalic { font-family: "KaTeX_SansSerifItalic", "PingFang SC", "Helvetica Neue", Helvetica, Arial, sans-serif; font-style: normal; font-weight: normal; }
.kxf-tt { font-family: "KaTeX_Typewriter", "PingFang SC", "Helvetica Neue", Helvetica, Arial, sans-serif; font-style: normal; font-weight: normal; }
.kxf-size1 { font-family: "KaTeX_Size1", "PingFang SC", "Helvetica Neue", Helvetica, Arial, sans-serif; font-style: normal; font-weight: normal; }
.kxf-size2 { font-family: "KaTeX_Size2", "PingFang SC", "Helvetica Neue", Helvetica, Arial, sans-serif; font-style: normal; font-weight: normal; }
.kxf-size3 { font-family: "KaTeX_Size3", "PingFang SC", "Helvetica Neue", Helvetica, Arial, sans-serif; font-style: normal; font-weight: normal; }
.kxf-size4 { font-family: "KaTeX_Size4", "PingFang SC", "Helvetica Neue", Helvetica, Arial, sans-serif; font-style: normal; font-weight: normal; }

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

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

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

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

.katex .vlist view view { display: inline-block; }

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

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

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

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

.katex .hbox {
  display: inline-flex;
  flex-direction: row;
  width: auto;
  flex-wrap: nowrap;
}

.katex .thinbox {
  display: inline-flex;
  flex-direction: row;
  width: 0;
  max-width: 0;
}

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

.katex .mfrac view view { text-align: center; }

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

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

.katex .mspace { display: inline-block; }

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

.katex .llap .inner, .katex .rlap .inner, .katex .clap .inner { position: absolute; }
.katex .llap .fix, .katex .rlap .fix, .katex .clap .fix { display: inline-block; }
.katex .llap .inner { right: 0; }
.katex .rlap .inner, .katex .clap .inner { left: 0; }
.katex .clap .inner view { margin-left: -50%; margin-right: 50%; }

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

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

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

.katex .sqrt .root {
  margin-left: 0.2777777778em;
  margin-right: -0.5555555556em;
}

/* --- Sizing classes --- */
.katex .sizing, .katex .fontsize-ensurer { font-size: 1em; }

/* reset-size1 */
.katex .sizing.reset-size1.size1, .katex .fontsize-ensurer.reset-size1.size1 { font-size: 1em; }
.katex .sizing.reset-size1.size2, .katex .fontsize-ensurer.reset-size1.size2 { font-size: 1.2em; }
.katex .sizing.reset-size1.size3, .katex .fontsize-ensurer.reset-size1.size3 { font-size: 1.4em; }
.katex .sizing.reset-size1.size4, .katex .fontsize-ensurer.reset-size1.size4 { font-size: 1.6em; }
.katex .sizing.reset-size1.size5, .katex .fontsize-ensurer.reset-size1.size5 { font-size: 1.8em; }
.katex .sizing.reset-size1.size6, .katex .fontsize-ensurer.reset-size1.size6 { font-size: 2em; }
.katex .sizing.reset-size1.size7, .katex .fontsize-ensurer.reset-size1.size7 { font-size: 2.4em; }
.katex .sizing.reset-size1.size8, .katex .fontsize-ensurer.reset-size1.size8 { font-size: 2.88em; }
.katex .sizing.reset-size1.size9, .katex .fontsize-ensurer.reset-size1.size9 { font-size: 3.456em; }
.katex .sizing.reset-size1.size10, .katex .fontsize-ensurer.reset-size1.size10 { font-size: 4.148em; }
.katex .sizing.reset-size1.size11, .katex .fontsize-ensurer.reset-size1.size11 { font-size: 4.976em; }

/* reset-size2 */
.katex .sizing.reset-size2.size1, .katex .fontsize-ensurer.reset-size2.size1 { font-size: 0.8333333333em; }
.katex .sizing.reset-size2.size2, .katex .fontsize-ensurer.reset-size2.size2 { font-size: 1em; }
.katex .sizing.reset-size2.size3, .katex .fontsize-ensurer.reset-size2.size3 { font-size: 1.1666666667em; }
.katex .sizing.reset-size2.size4, .katex .fontsize-ensurer.reset-size2.size4 { font-size: 1.3333333333em; }
.katex .sizing.reset-size2.size5, .katex .fontsize-ensurer.reset-size2.size5 { font-size: 1.5em; }
.katex .sizing.reset-size2.size6, .katex .fontsize-ensurer.reset-size2.size6 { font-size: 1.6666666667em; }
.katex .sizing.reset-size2.size7, .katex .fontsize-ensurer.reset-size2.size7 { font-size: 2em; }
.katex .sizing.reset-size2.size8, .katex .fontsize-ensurer.reset-size2.size8 { font-size: 2.4em; }
.katex .sizing.reset-size2.size9, .katex .fontsize-ensurer.reset-size2.size9 { font-size: 2.88em; }
.katex .sizing.reset-size2.size10, .katex .fontsize-ensurer.reset-size2.size10 { font-size: 3.4566666667em; }
.katex .sizing.reset-size2.size11, .katex .fontsize-ensurer.reset-size2.size11 { font-size: 4.1466666667em; }

/* reset-size3 */
.katex .sizing.reset-size3.size1, .katex .fontsize-ensurer.reset-size3.size1 { font-size: 0.7142857143em; }
.katex .sizing.reset-size3.size2, .katex .fontsize-ensurer.reset-size3.size2 { font-size: 0.8571428571em; }
.katex .sizing.reset-size3.size3, .katex .fontsize-ensurer.reset-size3.size3 { font-size: 1em; }
.katex .sizing.reset-size3.size4, .katex .fontsize-ensurer.reset-size3.size4 { font-size: 1.1428571429em; }
.katex .sizing.reset-size3.size5, .katex .fontsize-ensurer.reset-size3.size5 { font-size: 1.2857142857em; }
.katex .sizing.reset-size3.size6, .katex .fontsize-ensurer.reset-size3.size6 { font-size: 1.4285714286em; }
.katex .sizing.reset-size3.size7, .katex .fontsize-ensurer.reset-size3.size7 { font-size: 1.7142857143em; }
.katex .sizing.reset-size3.size8, .katex .fontsize-ensurer.reset-size3.size8 { font-size: 2.0571428571em; }
.katex .sizing.reset-size3.size9, .katex .fontsize-ensurer.reset-size3.size9 { font-size: 2.4685714286em; }
.katex .sizing.reset-size3.size10, .katex .fontsize-ensurer.reset-size3.size10 { font-size: 2.9628571429em; }
.katex .sizing.reset-size3.size11, .katex .fontsize-ensurer.reset-size3.size11 { font-size: 3.5542857143em; }

/* reset-size4 */
.katex .sizing.reset-size4.size1, .katex .fontsize-ensurer.reset-size4.size1 { font-size: 0.625em; }
.katex .sizing.reset-size4.size2, .katex .fontsize-ensurer.reset-size4.size2 { font-size: 0.75em; }
.katex .sizing.reset-size4.size3, .katex .fontsize-ensurer.reset-size4.size3 { font-size: 0.875em; }
.katex .sizing.reset-size4.size4, .katex .fontsize-ensurer.reset-size4.size4 { font-size: 1em; }
.katex .sizing.reset-size4.size5, .katex .fontsize-ensurer.reset-size4.size5 { font-size: 1.125em; }
.katex .sizing.reset-size4.size6, .katex .fontsize-ensurer.reset-size4.size6 { font-size: 1.25em; }
.katex .sizing.reset-size4.size7, .katex .fontsize-ensurer.reset-size4.size7 { font-size: 1.5em; }
.katex .sizing.reset-size4.size8, .katex .fontsize-ensurer.reset-size4.size8 { font-size: 1.8em; }
.katex .sizing.reset-size4.size9, .katex .fontsize-ensurer.reset-size4.size9 { font-size: 2.16em; }
.katex .sizing.reset-size4.size10, .katex .fontsize-ensurer.reset-size4.size10 { font-size: 2.5925em; }
.katex .sizing.reset-size4.size11, .katex .fontsize-ensurer.reset-size4.size11 { font-size: 3.11em; }

/* reset-size5 */
.katex .sizing.reset-size5.size1, .katex .fontsize-ensurer.reset-size5.size1 { font-size: 0.5555555556em; }
.katex .sizing.reset-size5.size2, .katex .fontsize-ensurer.reset-size5.size2 { font-size: 0.6666666667em; }
.katex .sizing.reset-size5.size3, .katex .fontsize-ensurer.reset-size5.size3 { font-size: 0.7777777778em; }
.katex .sizing.reset-size5.size4, .katex .fontsize-ensurer.reset-size5.size4 { font-size: 0.8888888889em; }
.katex .sizing.reset-size5.size5, .katex .fontsize-ensurer.reset-size5.size5 { font-size: 1em; }
.katex .sizing.reset-size5.size6, .katex .fontsize-ensurer.reset-size5.size6 { font-size: 1.1111111111em; }
.katex .sizing.reset-size5.size7, .katex .fontsize-ensurer.reset-size5.size7 { font-size: 1.3333333333em; }
.katex .sizing.reset-size5.size8, .katex .fontsize-ensurer.reset-size5.size8 { font-size: 1.6em; }
.katex .sizing.reset-size5.size9, .katex .fontsize-ensurer.reset-size5.size9 { font-size: 1.92em; }
.katex .sizing.reset-size5.size10, .katex .fontsize-ensurer.reset-size5.size10 { font-size: 2.3044444444em; }
.katex .sizing.reset-size5.size11, .katex .fontsize-ensurer.reset-size5.size11 { font-size: 2.7644444444em; }

/* reset-size6 */
.katex .sizing.reset-size6.size1, .katex .fontsize-ensurer.reset-size6.size1 { font-size: 0.5em; }
.katex .sizing.reset-size6.size2, .katex .fontsize-ensurer.reset-size6.size2 { font-size: 0.6em; }
.katex .sizing.reset-size6.size3, .katex .fontsize-ensurer.reset-size6.size3 { font-size: 0.7em; }
.katex .sizing.reset-size6.size4, .katex .fontsize-ensurer.reset-size6.size4 { font-size: 0.8em; }
.katex .sizing.reset-size6.size5, .katex .fontsize-ensurer.reset-size6.size5 { font-size: 0.9em; }
.katex .sizing.reset-size6.size6, .katex .fontsize-ensurer.reset-size6.size6 { font-size: 1em; }
.katex .sizing.reset-size6.size7, .katex .fontsize-ensurer.reset-size6.size7 { font-size: 1.2em; }
.katex .sizing.reset-size6.size8, .katex .fontsize-ensurer.reset-size6.size8 { font-size: 1.44em; }
.katex .sizing.reset-size6.size9, .katex .fontsize-ensurer.reset-size6.size9 { font-size: 1.728em; }
.katex .sizing.reset-size6.size10, .katex .fontsize-ensurer.reset-size6.size10 { font-size: 2.074em; }
.katex .sizing.reset-size6.size11, .katex .fontsize-ensurer.reset-size6.size11 { font-size: 2.488em; }

/* reset-size7–11 (sizes 7–11) */
.katex .sizing.reset-size7.size1, .katex .fontsize-ensurer.reset-size7.size1 { font-size: 0.4166666667em; }
.katex .sizing.reset-size7.size2, .katex .fontsize-ensurer.reset-size7.size2 { font-size: 0.5em; }
.katex .sizing.reset-size7.size3, .katex .fontsize-ensurer.reset-size7.size3 { font-size: 0.5833333333em; }
.katex .sizing.reset-size7.size4, .katex .fontsize-ensurer.reset-size7.size4 { font-size: 0.6666666667em; }
.katex .sizing.reset-size7.size5, .katex .fontsize-ensurer.reset-size7.size5 { font-size: 0.75em; }
.katex .sizing.reset-size7.size6, .katex .fontsize-ensurer.reset-size7.size6 { font-size: 0.8333333333em; }
.katex .sizing.reset-size7.size7, .katex .fontsize-ensurer.reset-size7.size7 { font-size: 1em; }
.katex .sizing.reset-size7.size8, .katex .fontsize-ensurer.reset-size7.size8 { font-size: 1.2em; }
.katex .sizing.reset-size7.size9, .katex .fontsize-ensurer.reset-size7.size9 { font-size: 1.44em; }
.katex .sizing.reset-size7.size10, .katex .fontsize-ensurer.reset-size7.size10 { font-size: 1.7283333333em; }
.katex .sizing.reset-size7.size11, .katex .fontsize-ensurer.reset-size7.size11 { font-size: 2.0733333333em; }

.katex .sizing.reset-size8.size1, .katex .fontsize-ensurer.reset-size8.size1 { font-size: 0.3472222222em; }
.katex .sizing.reset-size8.size2, .katex .fontsize-ensurer.reset-size8.size2 { font-size: 0.4166666667em; }
.katex .sizing.reset-size8.size3, .katex .fontsize-ensurer.reset-size8.size3 { font-size: 0.4861111111em; }
.katex .sizing.reset-size8.size4, .katex .fontsize-ensurer.reset-size8.size4 { font-size: 0.5555555556em; }
.katex .sizing.reset-size8.size5, .katex .fontsize-ensurer.reset-size8.size5 { font-size: 0.625em; }
.katex .sizing.reset-size8.size6, .katex .fontsize-ensurer.reset-size8.size6 { font-size: 0.6944444444em; }
.katex .sizing.reset-size8.size7, .katex .fontsize-ensurer.reset-size8.size7 { font-size: 0.8333333333em; }
.katex .sizing.reset-size8.size8, .katex .fontsize-ensurer.reset-size8.size8 { font-size: 1em; }
.katex .sizing.reset-size8.size9, .katex .fontsize-ensurer.reset-size8.size9 { font-size: 1.2em; }
.katex .sizing.reset-size8.size10, .katex .fontsize-ensurer.reset-size8.size10 { font-size: 1.4402777778em; }
.katex .sizing.reset-size8.size11, .katex .fontsize-ensurer.reset-size8.size11 { font-size: 1.7277777778em; }

.katex .sizing.reset-size9.size1, .katex .fontsize-ensurer.reset-size9.size1 { font-size: 0.2893518519em; }
.katex .sizing.reset-size9.size2, .katex .fontsize-ensurer.reset-size9.size2 { font-size: 0.3472222222em; }
.katex .sizing.reset-size9.size3, .katex .fontsize-ensurer.reset-size9.size3 { font-size: 0.4050925926em; }
.katex .sizing.reset-size9.size4, .katex .fontsize-ensurer.reset-size9.size4 { font-size: 0.462962963em; }
.katex .sizing.reset-size9.size5, .katex .fontsize-ensurer.reset-size9.size5 { font-size: 0.5208333333em; }
.katex .sizing.reset-size9.size6, .katex .fontsize-ensurer.reset-size9.size6 { font-size: 0.5787037037em; }
.katex .sizing.reset-size9.size7, .katex .fontsize-ensurer.reset-size9.size7 { font-size: 0.6944444444em; }
.katex .sizing.reset-size9.size8, .katex .fontsize-ensurer.reset-size9.size8 { font-size: 0.8333333333em; }
.katex .sizing.reset-size9.size9, .katex .fontsize-ensurer.reset-size9.size9 { font-size: 1em; }
.katex .sizing.reset-size9.size10, .katex .fontsize-ensurer.reset-size9.size10 { font-size: 1.2002314815em; }
.katex .sizing.reset-size9.size11, .katex .fontsize-ensurer.reset-size9.size11 { font-size: 1.4398148148em; }

.katex .sizing.reset-size10.size1, .katex .fontsize-ensurer.reset-size10.size1 { font-size: 0.2410800386em; }
.katex .sizing.reset-size10.size2, .katex .fontsize-ensurer.reset-size10.size2 { font-size: 0.2892960463em; }
.katex .sizing.reset-size10.size3, .katex .fontsize-ensurer.reset-size10.size3 { font-size: 0.337512054em; }
.katex .sizing.reset-size10.size4, .katex .fontsize-ensurer.reset-size10.size4 { font-size: 0.3857280617em; }
.katex .sizing.reset-size10.size5, .katex .fontsize-ensurer.reset-size10.size5 { font-size: 0.4339440694em; }
.katex .sizing.reset-size10.size6, .katex .fontsize-ensurer.reset-size10.size6 { font-size: 0.4821600771em; }
.katex .sizing.reset-size10.size7, .katex .fontsize-ensurer.reset-size10.size7 { font-size: 0.5785920926em; }
.katex .sizing.reset-size10.size8, .katex .fontsize-ensurer.reset-size10.size8 { font-size: 0.6943105111em; }
.katex .sizing.reset-size10.size9, .katex .fontsize-ensurer.reset-size10.size9 { font-size: 0.8331726133em; }
.katex .sizing.reset-size10.size10, .katex .fontsize-ensurer.reset-size10.size10 { font-size: 1em; }
.katex .sizing.reset-size10.size11, .katex .fontsize-ensurer.reset-size10.size11 { font-size: 1.1996142719em; }

.katex .sizing.reset-size11.size1, .katex .fontsize-ensurer.reset-size11.size1 { font-size: 0.2009646302em; }
.katex .sizing.reset-size11.size2, .katex .fontsize-ensurer.reset-size11.size2 { font-size: 0.2411575563em; }
.katex .sizing.reset-size11.size3, .katex .fontsize-ensurer.reset-size11.size3 { font-size: 0.2813504823em; }
.katex .sizing.reset-size11.size4, .katex .fontsize-ensurer.reset-size11.size4 { font-size: 0.3215434084em; }
.katex .sizing.reset-size11.size5, .katex .fontsize-ensurer.reset-size11.size5 { font-size: 0.3617363344em; }
.katex .sizing.reset-size11.size6, .katex .fontsize-ensurer.reset-size11.size6 { font-size: 0.4019292605em; }
.katex .sizing.reset-size11.size7, .katex .fontsize-ensurer.reset-size11.size7 { font-size: 0.4823151125em; }
.katex .sizing.reset-size11.size8, .katex .fontsize-ensurer.reset-size11.size8 { font-size: 0.578778135em; }
.katex .sizing.reset-size11.size9, .katex .fontsize-ensurer.reset-size11.size9 { font-size: 0.6945337621em; }
.katex .sizing.reset-size11.size10, .katex .fontsize-ensurer.reset-size11.size10 { font-size: 0.8336012862em; }
.katex .sizing.reset-size11.size11, .katex .fontsize-ensurer.reset-size11.size11 { font-size: 1em; }

/* --- Delimiter sizing --- */
.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 view { font-family: "KaTeX_Size1"; }
.katex .delimsizing.mult .delim-size4 view { font-family: "KaTeX_Size4"; }

.katex .nulldelimiter { display: inline-block; width: 0.12em; }
.katex .delimcenter { position: relative; }
.katex .op-symbol { position: relative; }
.katex .op-symbol.small-op { font-family: "KaTeX_Size1"; }
.katex .op-symbol.large-op { font-family: "KaTeX_Size2"; }

.katex .op-limits .vlist-t { text-align: center; }
.katex .accent .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 .katex-svg {
  display: block;
  position: absolute;
  width: 100%;
  height: inherit;
  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;
}

.katex .katex-svg path { stroke: none; }

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

.katex .stretchy { width: 100%; display: block; position: relative; overflow: hidden; }
.katex .stretchy::before, .katex .stretchy::after { content: ""; }
.katex .hide-tail { width: 100%; position: relative; overflow: hidden; }
.katex .halfarrow-left { position: absolute; left: 0; width: 50.2%; overflow: hidden; }
.katex .halfarrow-right { position: absolute; right: 0; width: 50.2%; overflow: hidden; }
.katex .brace-left { position: absolute; left: 0; width: 25.1%; overflow: hidden; }
.katex .brace-center { position: absolute; left: 25%; width: 50%; overflow: hidden; }
.katex .brace-right { position: absolute; right: 0; width: 25.1%; overflow: hidden; }
.katex .x-arrow-pad { padding: 0 0.5em; }
.katex .cd-arrow-pad { padding: 0 0.55556em 0 0.27778em; }
.katex .x-arrow, .katex .mover, .katex .munder { text-align: center; }
.katex .boxpad { padding: 0 0.3em; }
.katex .fbox, .katex .fcolorbox { box-sizing: border-box; border: 0.04em solid; }
.katex .cancel-pad { padding: 0 0.2em; }
.katex .cancel-lap { margin-left: -0.2em; margin-right: -0.2em; }
.katex .sout { border-bottom-style: solid; border-bottom-width: 0.08em; }
.katex .angl { box-sizing: border-box; border-top: 0.049em solid; border-right: 0.049em solid; margin-right: 0.03889em; }
.katex .anglpad { padding: 0 0.03889em; }
.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% + 0.3em); text-align: left; }
.katex .cd-label-right { display: inline-block; position: absolute; left: calc(50% + 0.3em); text-align: right; }

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

/* --- Display math --- */
.katex-display {
  display: block;
  width: 100%;
  margin: 0.8em 0;
  text-align: center;
}

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

/* --- Error styling --- */
.katex-error {
  color: #cc0000;
}

/* --- Inline math wrapper --- */
.katex-inline {
  display: inline;
}