@font-face{font-display:block;font-family:KaTeX_AMS;font-style:normal;font-weight:400;src:url(/_next/static/media/KaTeX_AMS-Regular.a79f1c31.woff2) format("woff2"),url(/_next/static/media/KaTeX_AMS-Regular.1608a09b.woff) format("woff"),url(/_next/static/media/KaTeX_AMS-Regular.4aafdb68.ttf) format("truetype")}@font-face{font-display:block;font-family:KaTeX_Caligraphic;font-style:normal;font-weight:700;src:url(/_next/static/media/KaTeX_Caligraphic-Bold.ec17d132.woff2) format("woff2"),url(/_next/static/media/KaTeX_Caligraphic-Bold.b6770918.woff) format("woff"),url(/_next/static/media/KaTeX_Caligraphic-Bold.cce5b8ec.ttf) format("truetype")}@font-face{font-display:block;font-family:KaTeX_Caligraphic;font-style:normal;font-weight:400;src:url(/_next/static/media/KaTeX_Caligraphic-Regular.55fac258.woff2) format("woff2"),url(/_next/static/media/KaTeX_Caligraphic-Regular.dad44a7f.woff) format("woff"),url(/_next/static/media/KaTeX_Caligraphic-Regular.07ef19e7.ttf) format("truetype")}@font-face{font-display:block;font-family:KaTeX_Fraktur;font-style:normal;font-weight:700;src:url(/_next/static/media/KaTeX_Fraktur-Bold.d42a5579.woff2) format("woff2"),url(/_next/static/media/KaTeX_Fraktur-Bold.9f256b85.woff) format("woff"),url(/_next/static/media/KaTeX_Fraktur-Bold.b18f59e1.ttf) format("truetype")}@font-face{font-display:block;font-family:KaTeX_Fraktur;font-style:normal;font-weight:400;src:url(/_next/static/media/KaTeX_Fraktur-Regular.d3c882a6.woff2) format("woff2"),url(/_next/static/media/KaTeX_Fraktur-Regular.7c187121.woff) format("woff"),url(/_next/static/media/KaTeX_Fraktur-Regular.ed38e79f.ttf) format("truetype")}@font-face{font-display:block;font-family:KaTeX_Main;font-style:normal;font-weight:700;src:url(/_next/static/media/KaTeX_Main-Bold.c3fb5ac2.woff2) format("woff2"),url(/_next/static/media/KaTeX_Main-Bold.d181c465.woff) format("woff"),url(/_next/static/media/KaTeX_Main-Bold.b74a1a8b.ttf) format("truetype")}@font-face{font-display:block;font-family:KaTeX_Main;font-style:italic;font-weight:700;src:url(/_next/static/media/KaTeX_Main-BoldItalic.6f2bb1df.woff2) format("woff2"),url(/_next/static/media/KaTeX_Main-BoldItalic.e3f82f9d.woff) format("woff"),url(/_next/static/media/KaTeX_Main-BoldItalic.70d8b0a5.ttf) format("truetype")}@font-face{font-display:block;font-family:KaTeX_Main;font-style:italic;font-weight:400;src:url(/_next/static/media/KaTeX_Main-Italic.8916142b.woff2) format("woff2"),url(/_next/static/media/KaTeX_Main-Italic.9024d815.woff) format("woff"),url(/_next/static/media/KaTeX_Main-Italic.47373d1e.ttf) format("truetype")}@font-face{font-display:block;font-family:KaTeX_Main;font-style:normal;font-weight:400;src:url(/_next/static/media/KaTeX_Main-Regular.0462f03b.woff2) format("woff2"),url(/_next/static/media/KaTeX_Main-Regular.7f51fe03.woff) format("woff"),url(/_next/static/media/KaTeX_Main-Regular.b7f8fe9b.ttf) format("truetype")}@font-face{font-display:block;font-family:KaTeX_Math;font-style:italic;font-weight:700;src:url(/_next/static/media/KaTeX_Math-BoldItalic.572d331f.woff2) format("woff2"),url(/_next/static/media/KaTeX_Math-BoldItalic.f1035d8d.woff) format("woff"),url(/_next/static/media/KaTeX_Math-BoldItalic.a879cf83.ttf) format("truetype")}@font-face{font-display:block;font-family:KaTeX_Math;font-style:italic;font-weight:400;src:url(/_next/static/media/KaTeX_Math-Italic.f28c23ac.woff2) format("woff2"),url(/_next/static/media/KaTeX_Math-Italic.5295ba48.woff) format("woff"),url(/_next/static/media/KaTeX_Math-Italic.939bc644.ttf) format("truetype")}@font-face{font-display:block;font-family:"KaTeX_SansSerif";font-style:normal;font-weight:700;src:url(/_next/static/media/KaTeX_SansSerif-Bold.8c5b5494.woff2) format("woff2"),url(/_next/static/media/KaTeX_SansSerif-Bold.bf59d231.woff) format("woff"),url(/_next/static/media/KaTeX_SansSerif-Bold.94e1e8dc.ttf) format("truetype")}@font-face{font-display:block;font-family:"KaTeX_SansSerif";font-style:italic;font-weight:400;src:url(/_next/static/media/KaTeX_SansSerif-Italic.3b1e59b3.woff2) format("woff2"),url(/_next/static/media/KaTeX_SansSerif-Italic.7c9bc82b.woff) format("woff"),url(/_next/static/media/KaTeX_SansSerif-Italic.b4c20c84.ttf) format("truetype")}@font-face{font-display:block;font-family:"KaTeX_SansSerif";font-style:normal;font-weight:400;src:url(/_next/static/media/KaTeX_SansSerif-Regular.ba21ed5f.woff2) format("woff2"),url(/_next/static/media/KaTeX_SansSerif-Regular.74048478.woff) format("woff"),url(/_next/static/media/KaTeX_SansSerif-Regular.d4d7ba48.ttf) format("truetype")}@font-face{font-display:block;font-family:KaTeX_Script;font-style:normal;font-weight:400;src:url(/_next/static/media/KaTeX_Script-Regular.03e9641d.woff2) format("woff2"),url(/_next/static/media/KaTeX_Script-Regular.07505710.woff) format("woff"),url(/_next/static/media/KaTeX_Script-Regular.fe9cbbe1.ttf) format("truetype")}@font-face{font-display:block;font-family:KaTeX_Size1;font-style:normal;font-weight:400;src:url(/_next/static/media/KaTeX_Size1-Regular.eae34984.woff2) format("woff2"),url(/_next/static/media/KaTeX_Size1-Regular.e1e279cb.woff) format("woff"),url(/_next/static/media/KaTeX_Size1-Regular.fabc004a.ttf) format("truetype")}@font-face{font-display:block;font-family:KaTeX_Size2;font-style:normal;font-weight:400;src:url(/_next/static/media/KaTeX_Size2-Regular.5916a24f.woff2) format("woff2"),url(/_next/static/media/KaTeX_Size2-Regular.57727022.woff) format("woff"),url(/_next/static/media/KaTeX_Size2-Regular.d6b476ec.ttf) format("truetype")}@font-face{font-display:block;font-family:KaTeX_Size3;font-style:normal;font-weight:400;src:url(/_next/static/media/KaTeX_Size3-Regular.b4230e7e.woff2) format("woff2"),url(/_next/static/media/KaTeX_Size3-Regular.9acaf01c.woff) format("woff"),url(/_next/static/media/KaTeX_Size3-Regular.a144ef58.ttf) format("truetype")}@font-face{font-display:block;font-family:KaTeX_Size4;font-style:normal;font-weight:400;src:url(/_next/static/media/KaTeX_Size4-Regular.10d95fd3.woff2) format("woff2"),url(/_next/static/media/KaTeX_Size4-Regular.7a996c9d.woff) format("woff"),url(/_next/static/media/KaTeX_Size4-Regular.fbccdabe.ttf) format("truetype")}@font-face{font-display:block;font-family:KaTeX_Typewriter;font-style:normal;font-weight:400;src:url(/_next/static/media/KaTeX_Typewriter-Regular.a8709e36.woff2) format("woff2"),url(/_next/static/media/KaTeX_Typewriter-Regular.6258592b.woff) format("woff"),url(/_next/static/media/KaTeX_Typewriter-Regular.d97aaf4a.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;-webkit-clip-path:inset(50%);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: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}:root{--bg:#07111f;--surface:#0d1b2e;--surface-soft:#13243a;--border:#263a56;--text:#e8f0fb;--muted:#9fb0c7;--accent:#8ab8ff;--danger:#ff9c8f;--ok:#8fe0b6;--font-mono:"SFMono-Regular",Consolas,monospace}*{box-sizing:border-box}body{margin:0;background:var(--bg);color:var(--text);font-family:system-ui,sans-serif}a{color:var(--accent);text-decoration:none}button,input,select,textarea{font:inherit}button,input,select{min-height:2.25rem}button{cursor:pointer}button:disabled{cursor:not-allowed;opacity:.55}pre{margin:0;padding:.75rem;overflow-x:auto;border:1px solid var(--border);background:#050b14;color:var(--text);font-family:var(--font-mono);line-height:1.5}.shell{width:min(1120px,calc(100% - 2rem));margin:0 auto;padding:1rem 0 3rem}.visually-hidden{position:absolute;width:1px;height:1px;margin:-1px;overflow:hidden;clip:rect(0,0,0,0);white-space:nowrap}.modal-backdrop{position:fixed;inset:0;z-index:50;display:grid;place-items:center;padding:1rem;background:rgba(2,7,14,.78)}.room-dialog{width:min(900px,100%);max-height:calc(100vh - 2rem);overflow:auto;padding:1rem;border:1px solid var(--border);background:var(--surface)}.script-code-dialog{width:min(1040px,100%)}.admin-case-list,.admin-dashboard,.admin-layout,.admin-tab-panel,.auth-form,.editor-form,.field-stack,.page-stack,.preview-layout,.preview-shell,.sample-grid,.statement-prose,.statement-side{display:grid;grid-gap:1rem;gap:1rem}.topbar{display:flex;gap:1rem;align-items:center;margin-bottom:2rem;padding-bottom:1rem;border-bottom:1px solid var(--border)}.brand-mark{display:inline-flex;gap:.75rem;align-items:center;color:var(--text);font-weight:700}.brand-mark small{display:block;color:var(--muted);font-size:.78rem;font-weight:400}.brand-mark__glyph{display:inline-flex;width:2rem;height:2rem;align-items:center;justify-content:center;border:1px solid var(--border);color:var(--accent)}.admin-item-actions,.admin-status-row,.auth-tabs,.checkbox-row,.editor-footer,.editor-toolbar,.hero-actions,.pill-row,.preview-metrics,.room-mode-buttons,.sample-card__head,.sample-columns,.section-heading,.topnav{display:flex;gap:.75rem;align-items:center;flex-wrap:wrap}.topnav{margin-left:1rem}.topnav a{color:var(--muted);font-weight:700}.topnav a.is-active,.topnav a:hover{color:var(--text)}.auth-shell{display:grid;grid-gap:.75rem;gap:.75rem;margin-left:auto;padding:1rem;border:1px solid var(--border);background:var(--surface)}.auth-shell--compact{display:inline-flex;align-items:center;min-width:auto;padding:0;border:0;background:transparent}.auth-message,.auth-user span,.editor-note,.lead,.sample-explanation,.statement-block p,.statement-prose p{margin:0;color:var(--muted);line-height:1.55}.admin-tabs button,.auth-tabs button,.button-reset,.primary-action,.secondary-action{display:inline-flex;align-items:center;justify-content:center;min-height:2.25rem;padding:0 .9rem;border:1px solid var(--accent);background:var(--accent);color:#07111f;font-weight:700}.admin-tabs button,.auth-tabs button,.secondary-action{border-color:var(--border);background:transparent;color:var(--muted)}.admin-tabs button.is-active,.auth-tabs button.is-active,.secondary-action:hover{border-color:var(--accent);color:var(--accent);background:rgba(138,184,255,.1)}.button-reset{text-decoration:none}.admin-danger{border-color:var(--danger);background:transparent;color:var(--danger)}.admin-danger:hover{background:rgba(255,156,143,.12)}.admin-editor-card,.admin-toolbar-note,.auth-shell:not(.auth-shell--compact),.card-surface,.hero-card,.sample-card,.statement-hero,.statement-main,.submit-banner{padding:1rem;border:1px solid var(--border);background:var(--surface)}.admin-floating-stack{position:fixed;right:1rem;bottom:1rem;display:grid;grid-gap:.5rem;gap:.5rem;width:min(34rem,calc(100vw - 2rem));z-index:80}.progress-banner{display:grid;grid-gap:.5rem;gap:.5rem;box-shadow:0 1rem 2.5rem rgba(0,0,0,.35)}.progress-banner p{margin:0}.admin-snackbar{display:flex;gap:1rem;align-items:center;justify-content:space-between;padding:.85rem 1rem;border:1px solid var(--border);background:#050b14;color:var(--text);box-shadow:0 1rem 2.5rem rgba(0,0,0,.38)}.admin-snackbar--success{border-color:var(--ok)}.admin-snackbar--danger{border-color:var(--danger)}.admin-snackbar button{min-height:2rem;padding:0 .65rem}.progress-bar{height:.65rem;overflow:hidden;border:1px solid var(--border);background:#050b14}.progress-bar__fill{height:100%;background:var(--accent);transition:width .18s ease}.hero-card h1,.room-dialog h2,.room-dialog h3,.statement-main h1,h1,h2{margin:0}h1{font-size:clamp(1.8rem,4vw,2.6rem);line-height:1.1}h2{font-size:1.25rem}.eyebrow,.field-stack span,.sample-label{margin:0;color:var(--muted);font-size:.78rem;font-weight:700;letter-spacing:.06em;text-transform:uppercase}.editor-footer,.editor-toolbar,.hero-actions,.section-heading{justify-content:space-between}.admin-item-toolbar,.admin-toolbar,.section-heading.compact{justify-content:flex-start}.admin-grid{display:grid;grid-gap:1rem;gap:1rem}.admin-problem-table{display:grid;border:1px solid var(--border)}.admin-problem-row{display:grid;grid-template-columns:minmax(10rem,1.5fr) minmax(8rem,1fr) minmax(10rem,1fr) minmax(14rem,auto);grid-gap:.75rem;gap:.75rem;align-items:center;padding:.75rem;border-top:1px solid var(--border)}.admin-problem-row:first-child{border-top:0}.admin-problem-row code{color:var(--muted);font-family:var(--font-mono);overflow-wrap:anywhere}.admin-problem-row--head{color:var(--muted);font-size:.78rem;font-weight:700;letter-spacing:.06em;text-transform:uppercase}.admin-case-block{display:grid;grid-gap:1rem;gap:1rem;padding-top:1rem;border-top:1px solid var(--border)}.script-setup-card{display:grid;grid-gap:1rem;gap:1rem;padding:1rem;border:1px solid var(--border);background:linear-gradient(135deg,rgba(15,23,42,.96),rgba(8,15,28,.96))}.script-setup-header{display:flex;gap:1rem;align-items:flex-start;justify-content:space-between}.script-setup-header h2{margin-top:.2rem;margin-bottom:.35rem}.script-status-panel{display:flex;gap:.4rem;align-items:center;flex-wrap:wrap;justify-content:flex-end;color:var(--muted);font-size:.78rem}.script-status-panel span{display:inline-flex;min-height:1.8rem;align-items:center;padding:0 .65rem;border:1px solid var(--border);background:rgba(15,23,42,.72)}.script-status-chip{border-color:var(--danger)!important;color:var(--danger);background:rgba(255,156,143,.08)!important}.script-status-chip--ready{border-color:var(--ok)!important;color:var(--ok);background:rgba(143,224,182,.1)!important}.script-setup-grid{display:grid;grid-template-columns:minmax(0,1.35fr) minmax(18rem,.9fr);grid-gap:1rem;gap:1rem}.script-path-card{display:grid;align-content:start;grid-gap:1rem;gap:1rem;padding:1rem;border:1px solid rgba(138,184,255,.24);background:rgba(5,11,20,.42)}.script-path-card--secondary{border-color:var(--border);background:rgba(15,23,42,.36)}.preset-choice-grid{display:grid;grid-template-columns:repeat(2,minmax(0,1fr));grid-gap:.75rem;gap:.75rem}.preset-choice.button-reset{display:grid;min-height:0;justify-content:stretch;grid-gap:.35rem;gap:.35rem;padding:.85rem;border-color:var(--border);background:rgba(15,23,42,.72);color:var(--text);text-align:left}.preset-choice strong{color:var(--text)}.preset-choice span{color:var(--muted);font-size:.85rem;font-weight:500;line-height:1.45}.preset-choice.is-selected{border-color:var(--accent);background:rgba(138,184,255,.12);box-shadow:inset 0 0 0 1px rgba(138,184,255,.28)}.script-primary-action{justify-self:flex-start}.script-action-grid{display:grid;grid-template-columns:repeat(2,minmax(0,1fr));grid-gap:.6rem;gap:.6rem}.script-options-panel{display:grid;grid-gap:.85rem;gap:.85rem;padding:.85rem;border:1px solid var(--border);background:rgba(15,23,42,.42)}.script-current-source{display:grid;grid-gap:.35rem;gap:.35rem;padding:.85rem;border:1px solid rgba(138,184,255,.35);background:rgba(138,184,255,.08)}.script-current-source strong{color:var(--accent)}.checkbox-line{display:inline-flex;gap:.55rem;align-items:center;color:var(--muted)}.admin-command-list{display:grid;grid-gap:.5rem;gap:.5rem}.admin-command-list code{display:block;padding:.65rem .75rem;border:1px solid var(--border);border-radius:.7rem;background:rgba(15,23,42,.72);color:var(--text);font-family:var(--font-mono);overflow-x:auto}.admin-grid--two{grid-template-columns:repeat(2,minmax(0,1fr))}.admin-tabs{display:flex;gap:.5rem;flex-wrap:wrap;padding-bottom:.75rem;border-bottom:1px solid var(--border)}.admin-textarea,.text-input,select{width:100%;padding:0 .6rem;border:1px solid var(--border);background:var(--surface);color:var(--text)}.admin-textarea:focus,.text-input:focus,select:focus{border-color:var(--accent);outline:none}.admin-textarea{min-height:12rem;padding:.75rem;resize:vertical}.admin-textarea--small{min-height:7rem}.admin-textarea::placeholder,.text-input::placeholder{color:var(--muted)}select{min-height:2.25rem}.checkbox-line input,.checkbox-row input{accent-color:var(--accent)}.admin-editor-card.is-dragging{opacity:.55;border-color:var(--accent)}.admin-editor-card:hover{border-color:rgba(138,184,255,.55)}.admin-editor-card.is-validation-valid{border-color:var(--ok)}.admin-editor-card.is-validation-invalid{border-color:var(--danger)}.admin-editor-card.is-validation-valid:hover{border-color:var(--ok)}.admin-editor-card.is-validation-invalid:hover{border-color:var(--danger)}.drag-handle{cursor:-webkit-grab;cursor:grab}.drag-handle:active{cursor:-webkit-grabbing;cursor:grabbing}.source-code-view{max-height:min(34rem,65vh);text-transform:none}.source-code-view code{color:#dce8f7}.preset-config-view{display:grid;grid-gap:.6rem;gap:.6rem}.preset-config-row{display:grid;grid-template-columns:minmax(9rem,.45fr) minmax(0,1fr);grid-gap:.75rem;gap:.75rem;align-items:center;padding:.75rem;border:1px solid var(--border);background:rgba(15,23,42,.72)}.preset-config-row span{color:var(--muted);font-size:.78rem;font-weight:700;letter-spacing:.06em;text-transform:uppercase}.preset-config-row strong{color:var(--text);overflow-wrap:anywhere}.source-code-view .hljs-keyword,.source-code-view .hljs-selector-tag,.source-code-view .hljs-title.function_{color:#8ab8ff}.source-code-view .hljs-char.escape_,.source-code-view .hljs-string{color:#8fe0b6}.source-code-view .hljs-literal,.source-code-view .hljs-number{color:#f3c98b}.source-code-view .hljs-comment{color:#7f92aa}.source-code-view .hljs-built_in,.source-code-view .hljs-meta,.source-code-view .hljs-type{color:#d7a6ff}.source-code-view .hljs-attr,.source-code-view .hljs-params,.source-code-view .hljs-variable{color:#f2d7a0}.preview-layout{grid-template-columns:1fr}.statement-block{display:grid;grid-gap:.6rem;gap:.6rem;padding-top:1rem;border-top:1px solid var(--border)}.statement-list{margin:0;padding-left:1.1rem;color:var(--muted);line-height:1.55}.sample-columns{display:grid;grid-template-columns:repeat(2,minmax(0,1fr))}.meta-pill,.meta-pill-light{display:inline-flex;min-height:2rem;align-items:center;justify-content:center;padding:0 .75rem;border:1px solid var(--border);background:var(--surface-soft);color:var(--muted);font-size:.78rem;white-space:nowrap}.meta-pill-light{border-color:var(--accent);color:var(--accent);background:rgba(138,184,255,.1)}.markdown-content :first-child{margin-top:0}.markdown-content :last-child{margin-bottom:0}.markdown-content blockquote,.markdown-content ol,.markdown-content p,.markdown-content ul{margin:0 0 1rem}.markdown-content ol,.markdown-content ul{padding-left:1.2rem}.markdown-content code{padding:.1rem .35rem;background:rgba(138,184,255,.1);color:var(--accent)}.markdown-content pre code{padding:0;background:transparent;color:inherit}.markdown-content .katex-display{overflow-x:auto;overflow-y:hidden;padding:.35rem 0}@media (max-width:960px){.admin-grid--two,.sample-columns,.script-setup-grid,.topbar{grid-template-columns:1fr}.topbar{align-items:flex-start;flex-direction:column}.auth-shell,.topnav{margin-left:0}}@media (max-width:720px){.admin-item-actions,.editor-footer,.editor-toolbar,.hero-actions,.script-setup-header,.section-heading{align-items:flex-start;flex-direction:column}.script-status-panel{justify-content:flex-start}.admin-problem-row,.admin-problem-row--head,.preset-choice-grid,.preset-config-row,.script-action-grid{grid-template-columns:1fr}.admin-problem-row--head{display:none}}