@font-face{font-display:block;font-family:KaTeX_AMS;font-style:normal;font-weight:400;src:url(fonts/KaTeX_AMS-Regular.25ieegmnh38ts.woff2) format("woff2")}
@font-face{font-display:block;font-family:KaTeX_Caligraphic;font-style:normal;font-weight:700;src:url(fonts/KaTeX_Caligraphic-Bold.06b-ya9t43ioz.woff2) format("woff2")}
@font-face{font-display:block;font-family:KaTeX_Caligraphic;font-style:normal;font-weight:400;src:url(fonts/KaTeX_Caligraphic-Regular.2eph4dlhid_m9.woff2) format("woff2")}
@font-face{font-display:block;font-family:KaTeX_Fraktur;font-style:normal;font-weight:700;src:url(fonts/KaTeX_Fraktur-Bold.2sasz-d-jtw8y.woff2) format("woff2")}
@font-face{font-display:block;font-family:KaTeX_Fraktur;font-style:normal;font-weight:400;src:url(fonts/KaTeX_Fraktur-Regular.2d10y4xmjvzlf.woff2) format("woff2")}
@font-face{font-display:block;font-family:KaTeX_Main;font-style:normal;font-weight:700;src:url(fonts/KaTeX_Main-Bold.3-rowy8o6_4ky.woff2) format("woff2")}
@font-face{font-display:block;font-family:KaTeX_Main;font-style:italic;font-weight:700;src:url(fonts/KaTeX_Main-BoldItalic.14r2naom8mrec.woff2) format("woff2")}
@font-face{font-display:block;font-family:KaTeX_Main;font-style:italic;font-weight:400;src:url(fonts/KaTeX_Main-Italic.0lig0v9j0700p.woff2) format("woff2")}
@font-face{font-display:block;font-family:KaTeX_Main;font-style:normal;font-weight:400;src:url(fonts/KaTeX_Main-Regular.1ryvsdzh2w1_e.woff2) format("woff2")}
@font-face{font-display:block;font-family:KaTeX_Math;font-style:italic;font-weight:700;src:url(fonts/KaTeX_Math-BoldItalic.1oopuu636h4il.woff2) format("woff2")}
@font-face{font-display:block;font-family:KaTeX_Math;font-style:italic;font-weight:400;src:url(fonts/KaTeX_Math-Italic.32405s1aq8vas.woff2) format("woff2")}
@font-face{font-display:block;font-family:KaTeX_SansSerif;font-style:normal;font-weight:700;src:url(fonts/KaTeX_SansSerif-Bold.0h3wi2z_eouyg.woff2) format("woff2")}
@font-face{font-display:block;font-family:KaTeX_SansSerif;font-style:italic;font-weight:400;src:url(fonts/KaTeX_SansSerif-Italic.0wkjc4dm2kcit.woff2) format("woff2")}
@font-face{font-display:block;font-family:KaTeX_SansSerif;font-style:normal;font-weight:400;src:url(fonts/KaTeX_SansSerif-Regular.2peiewu59z3d-.woff2) format("woff2")}
@font-face{font-display:block;font-family:KaTeX_Script;font-style:normal;font-weight:400;src:url(fonts/KaTeX_Script-Regular.11h14300o9pd0.woff2) format("woff2")}
@font-face{font-display:block;font-family:KaTeX_Size1;font-style:normal;font-weight:400;src:url(fonts/KaTeX_Size1-Regular.03lhvx36ekcou.woff2) format("woff2")}
@font-face{font-display:block;font-family:KaTeX_Size2;font-style:normal;font-weight:400;src:url(fonts/KaTeX_Size2-Regular.14s5gg-puz6h-.woff2) format("woff2")}
@font-face{font-display:block;font-family:KaTeX_Size3;font-style:normal;font-weight:400;src:url(fonts/KaTeX_Size3-Regular.1n1rgzz84z8r9.woff2) format("woff2")}
@font-face{font-display:block;font-family:KaTeX_Size4;font-style:normal;font-weight:400;src:url(fonts/KaTeX_Size4-Regular.2sgotkdv3dcyv.woff2) format("woff2")}
@font-face{font-display:block;font-family:KaTeX_Typewriter;font-style:normal;font-weight:400;src:url(fonts/KaTeX_Typewriter-Regular.11gr2d2wuwz77.woff2) format("woff2")}
.katex{text-indent:0;text-rendering:auto;font:1.21em/1.2 KaTeX_Main,Times New Roman,serif;position:relative}
.katex *{border-color:currentColor;-ms-high-contrast-adjust:none!important}
.katex .katex-version:after{content:"0.16.47"}
.katex .katex-mathml{clip-path:inset(50%);border:0;width:1px;height:1px;padding:0;position:absolute;overflow:hidden}
.katex .katex-html>.newline{display:block}
.katex .base{white-space:nowrap;width:min-content;position:relative}
.katex .base,.katex .strut{display:inline-block}
.katex .textbf{font-weight:700}
.katex .textit{font-style:italic}
.katex .textrm{font-family:KaTeX_Main}
.katex .textsf{font-family:KaTeX_SansSerif}
.katex .texttt{font-family:KaTeX_Typewriter}
.katex .mathnormal{font-family:KaTeX_Math;font-style:italic}
.katex .mathit{font-family:KaTeX_Main;font-style:italic}
.katex .mathrm{font-style:normal}
.katex .mathbf{font-family:KaTeX_Main;font-weight:700}
.katex .boldsymbol{font-family:KaTeX_Math;font-style:italic;font-weight:700}
.katex .amsrm,.katex .mathbb,.katex .textbb{font-family:KaTeX_AMS}
.katex .mathcal{font-family:KaTeX_Caligraphic}
.katex .mathfrak,.katex .textfrak{font-family:KaTeX_Fraktur}
.katex .mathboldfrak,.katex .textboldfrak{font-family:KaTeX_Fraktur;font-weight:700}
.katex .mathtt{font-family:KaTeX_Typewriter}
.katex .mathscr,.katex .textscr{font-family:KaTeX_Script}
.katex .mathsf,.katex .textsf{font-family:KaTeX_SansSerif}
.katex .mathboldsf,.katex .textboldsf{font-family:KaTeX_SansSerif;font-weight:700}
.katex .mathitsf,.katex .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;table-layout:fixed;display:inline-table}
.katex .vlist-r{display:table-row}
.katex .vlist{vertical-align:bottom;display:table-cell;position:relative}
.katex .vlist>span{height:0;display:block;position:relative}
.katex .vlist>span>span{display:inline-block}
.katex .vlist>span>.pstrut{width:0;overflow:hidden}
.katex .vlist-t2{margin-right:-2px}
.katex .vlist-s{vertical-align:bottom;width:2px;min-width:2px;font-size:1px;display:table-cell}
.katex .vbox{flex-direction:column;align-items:baseline;display:inline-flex}
.katex .hbox{width:100%}
.katex .hbox,.katex .thinbox{flex-direction:row;display:inline-flex}
.katex .thinbox{width:0;max-width:0}
.katex .msupsub{text-align:left}
.katex .mfrac>span>span{text-align:center}
.katex .mfrac .frac-line{border-bottom-style:solid;width:100%;display:inline-block}
.katex .hdashline,.katex .hline,.katex .mfrac .frac-line,.katex .overline .overline-line,.katex .rule,.katex .underline .underline-line{min-height:1px}
.katex .mspace{display:inline-block}
.katex .smash{line-height:0;display:inline}
.katex .clap,.katex .llap,.katex .rlap{width:0;position:relative}
.katex .clap>.inner,.katex .llap>.inner,.katex .rlap>.inner{position:absolute}
.katex .clap>.fix,.katex .llap>.fix,.katex .rlap>.fix{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;width:100%;display:inline-block}
.katex .hdashline{border-bottom-style:dashed;width:100%;display:inline-block}
.katex .sqrt>.root{margin-left:.277778em;margin-right:-.555556em}
.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:.833333em}
.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:1.16667em}
.katex .fontsize-ensurer.reset-size2.size4,.katex .sizing.reset-size2.size4{font-size:1.33333em}
.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:1.66667em}
.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:3.45667em}
.katex .fontsize-ensurer.reset-size2.size11,.katex .sizing.reset-size2.size11{font-size:4.14667em}
.katex .fontsize-ensurer.reset-size3.size1,.katex .sizing.reset-size3.size1{font-size:.714286em}
.katex .fontsize-ensurer.reset-size3.size2,.katex .sizing.reset-size3.size2{font-size:.857143em}
.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:1.14286em}
.katex .fontsize-ensurer.reset-size3.size5,.katex .sizing.reset-size3.size5{font-size:1.28571em}
.katex .fontsize-ensurer.reset-size3.size6,.katex .sizing.reset-size3.size6{font-size:1.42857em}
.katex .fontsize-ensurer.reset-size3.size7,.katex .sizing.reset-size3.size7{font-size:1.71429em}
.katex .fontsize-ensurer.reset-size3.size8,.katex .sizing.reset-size3.size8{font-size:2.05714em}
.katex .fontsize-ensurer.reset-size3.size9,.katex .sizing.reset-size3.size9{font-size:2.46857em}
.katex .fontsize-ensurer.reset-size3.size10,.katex .sizing.reset-size3.size10{font-size:2.96286em}
.katex .fontsize-ensurer.reset-size3.size11,.katex .sizing.reset-size3.size11{font-size:3.55429em}
.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:.555556em}
.katex .fontsize-ensurer.reset-size5.size2,.katex .sizing.reset-size5.size2{font-size:.666667em}
.katex .fontsize-ensurer.reset-size5.size3,.katex .sizing.reset-size5.size3{font-size:.777778em}
.katex .fontsize-ensurer.reset-size5.size4,.katex .sizing.reset-size5.size4{font-size:.888889em}
.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:1.11111em}
.katex .fontsize-ensurer.reset-size5.size7,.katex .sizing.reset-size5.size7{font-size:1.33333em}
.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:2.30444em}
.katex .fontsize-ensurer.reset-size5.size11,.katex .sizing.reset-size5.size11{font-size:2.76444em}
.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:.416667em}
.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:.583333em}
.katex .fontsize-ensurer.reset-size7.size4,.katex .sizing.reset-size7.size4{font-size:.666667em}
.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:.833333em}
.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:1.72833em}
.katex .fontsize-ensurer.reset-size7.size11,.katex .sizing.reset-size7.size11{font-size:2.07333em}
.katex .fontsize-ensurer.reset-size8.size1,.katex .sizing.reset-size8.size1{font-size:.347222em}
.katex .fontsize-ensurer.reset-size8.size2,.katex .sizing.reset-size8.size2{font-size:.416667em}
.katex .fontsize-ensurer.reset-size8.size3,.katex .sizing.reset-size8.size3{font-size:.486111em}
.katex .fontsize-ensurer.reset-size8.size4,.katex .sizing.reset-size8.size4{font-size:.555556em}
.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:.694444em}
.katex .fontsize-ensurer.reset-size8.size7,.katex .sizing.reset-size8.size7{font-size:.833333em}
.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:1.44028em}
.katex .fontsize-ensurer.reset-size8.size11,.katex .sizing.reset-size8.size11{font-size:1.72778em}
.katex .fontsize-ensurer.reset-size9.size1,.katex .sizing.reset-size9.size1{font-size:.289352em}
.katex .fontsize-ensurer.reset-size9.size2,.katex .sizing.reset-size9.size2{font-size:.347222em}
.katex .fontsize-ensurer.reset-size9.size3,.katex .sizing.reset-size9.size3{font-size:.405093em}
.katex .fontsize-ensurer.reset-size9.size4,.katex .sizing.reset-size9.size4{font-size:.462963em}
.katex .fontsize-ensurer.reset-size9.size5,.katex .sizing.reset-size9.size5{font-size:.520833em}
.katex .fontsize-ensurer.reset-size9.size6,.katex .sizing.reset-size9.size6{font-size:.578704em}
.katex .fontsize-ensurer.reset-size9.size7,.katex .sizing.reset-size9.size7{font-size:.694444em}
.katex .fontsize-ensurer.reset-size9.size8,.katex .sizing.reset-size9.size8{font-size:.833333em}
.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:1.20023em}
.katex .fontsize-ensurer.reset-size9.size11,.katex .sizing.reset-size9.size11{font-size:1.43981em}
.katex .fontsize-ensurer.reset-size10.size1,.katex .sizing.reset-size10.size1{font-size:.24108em}
.katex .fontsize-ensurer.reset-size10.size2,.katex .sizing.reset-size10.size2{font-size:.289296em}
.katex .fontsize-ensurer.reset-size10.size3,.katex .sizing.reset-size10.size3{font-size:.337512em}
.katex .fontsize-ensurer.reset-size10.size4,.katex .sizing.reset-size10.size4{font-size:.385728em}
.katex .fontsize-ensurer.reset-size10.size5,.katex .sizing.reset-size10.size5{font-size:.433944em}
.katex .fontsize-ensurer.reset-size10.size6,.katex .sizing.reset-size10.size6{font-size:.48216em}
.katex .fontsize-ensurer.reset-size10.size7,.katex .sizing.reset-size10.size7{font-size:.578592em}
.katex .fontsize-ensurer.reset-size10.size8,.katex .sizing.reset-size10.size8{font-size:.694311em}
.katex .fontsize-ensurer.reset-size10.size9,.katex .sizing.reset-size10.size9{font-size:.833173em}
.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:1.19961em}
.katex .fontsize-ensurer.reset-size11.size1,.katex .sizing.reset-size11.size1{font-size:.200965em}
.katex .fontsize-ensurer.reset-size11.size2,.katex .sizing.reset-size11.size2{font-size:.241158em}
.katex .fontsize-ensurer.reset-size11.size3,.katex .sizing.reset-size11.size3{font-size:.281351em}
.katex .fontsize-ensurer.reset-size11.size4,.katex .sizing.reset-size11.size4{font-size:.321543em}
.katex .fontsize-ensurer.reset-size11.size5,.katex .sizing.reset-size11.size5{font-size:.361736em}
.katex .fontsize-ensurer.reset-size11.size6,.katex .sizing.reset-size11.size6{font-size:.401929em}
.katex .fontsize-ensurer.reset-size11.size7,.katex .sizing.reset-size11.size7{font-size:.482315em}
.katex .fontsize-ensurer.reset-size11.size8,.katex .sizing.reset-size11.size8{font-size:.578778em}
.katex .fontsize-ensurer.reset-size11.size9,.katex .sizing.reset-size11.size9{font-size:.694534em}
.katex .fontsize-ensurer.reset-size11.size10,.katex .sizing.reset-size11.size10{font-size:.833601em}
.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{width:.12em;display:inline-block}
.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{min-width:1px;display:inline-block}
.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;height:inherit;width:100%;display:block;position:absolute}
.katex svg path{stroke:none}
.katex svg{fill-rule:nonzero;fill-opacity:1;stroke-width:1px;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:4;stroke-dasharray:none;stroke-dashoffset:0;stroke-opacity:1}
.katex img{border-style:none;min-width:0;max-width:none;min-height:0;max-height:none}
.katex .stretchy{width:100%;display:block;position:relative;overflow:hidden}
.katex .stretchy:after,.katex .stretchy:before{content:""}
.katex .hide-tail{width:100%;position:relative;overflow:hidden}
.katex .halfarrow-left{width:50.2%;position:absolute;left:0;overflow:hidden}
.katex .halfarrow-right{width:50.2%;position:absolute;right:0;overflow:hidden}
.katex .brace-left{width:25.1%;position:absolute;left:0;overflow:hidden}
.katex .brace-center{width:50%;position:absolute;left:25%;overflow:hidden}
.katex .brace-right{width:25.1%;position:absolute;right:0;overflow:hidden}
.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{box-sizing:border-box;border:.04em solid}
.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{box-sizing:border-box;border-top:.049em solid;border-right:.049em solid;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{text-align:left;display:inline-block;position:absolute;right:calc(50% + .3em)}
.katex .cd-label-right{text-align:right;display:inline-block;position:absolute;left:calc(50% + .3em)}
.katex-display{text-align:center;margin:1em 0;display:block}
.katex-display>.katex{text-align:center;white-space:nowrap;display:block}
.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}