@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:"0.16.44"}.katex .katex-mathml{clip:rect(1px,1px,1px,1px);border:0;height:1px;overflow:hidden;padding:0;position:absolute;width:1px}.katex .katex-html>.newline{display:block}.katex .base{position:relative;white-space:nowrap;width: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}@import url("https://fonts.googleapis.com/css2?family=IBM+Plex+Sans+KR:wght@400;500;600;700&family=Cormorant+Garamond:ital,wght@0,300;0,400;1,300;1,400&display=swap");:root{color-scheme:light;--bg:#ececec;--bg-2:#e5e5e5;--bg-start:#f1f1f1;--bg-mid:#ececec;--bg-end:#e8e8e8;--bg-glow-a:rgba(255,255,255,0.48);--bg-glow-b:rgba(255,255,255,0.12);--panel:rgba(244,244,244,0.94);--panel-strong:rgba(244,244,244,0.985);--surface-card:linear-gradient(180deg,#f4f4f4,#efefef);--surface-elevated:linear-gradient(180deg,#f4f4f4,#efefef);--surface-soft:linear-gradient(180deg,#f4f4f4,#efefef);--surface-muted:linear-gradient(180deg,#f1f1f1,#ebebeb);--surface-chip:linear-gradient(180deg,#f4f4f4,#efefef);--surface-input:linear-gradient(180deg,#f3f3f3,#eeeeee);--surface-accent:linear-gradient(180deg,#f4f4f4,#efefef);--surface-warm:linear-gradient(180deg,#f4f4f4,#efefef);--surface-lock:linear-gradient(180deg,#efefef,#e8e8e8);--surface-answer:linear-gradient(180deg,#f4f4f4,#efefef);--surface-grid:linear-gradient(180deg,#e6e6e6,#dddddd);--overlay-scrim:rgba(34,34,34,0.08);--overlay-scrim-strong:rgba(34,34,34,0.14);--hero-watermark:rgba(94,94,94,0.08);--number-wall:rgba(94,94,94,0.25);--range-track:#dddddd;--range-thumb-ring:rgba(255,74,0,0.12);--range-thumb-fill:#f4f4f4;--range-thumb-border:#c8c8c8;--range-thumb-shadow:inset 1px 0 0 rgba(255,255,255,0.46),inset -1px 0 0 rgba(0,0,0,0.08),0 1px 2px rgba(0,0,0,0.2),0 2px 4px rgba(0,0,0,0.08);--line:rgba(34,34,34,0.1);--line-strong:rgba(34,34,34,0.16);--text:#222222;--muted:#5e5e5e;--accent:#5e5e5e;--accent-warm:#ff4a00;--danger:#ff4a00;--positive:#228d5f;--status-ready-bg:rgba(34,141,95,0.14);--status-ready-border:rgba(34,141,95,0.42);--status-ready-text:#15593d;--status-caution-bg:rgba(214,87,67,0.14);--status-caution-border:rgba(214,87,67,0.34);--status-caution-text:#8a2f21;--status-neutral-bg:rgba(34,34,34,0.06);--status-neutral-border:rgba(34,34,34,0.14);--status-neutral-text:#4f4f4f;--status-host-bg:rgba(52,116,255,0.14);--status-host-border:rgba(52,116,255,0.34);--status-host-text:#1e4ea8;--live-chip-text:#5e5e5e;--live-chip-bg:rgba(244,244,244,0.94);--live-chip-border:rgba(34,34,34,0.1);--grid-line:rgba(94,94,94,0.1);--grid-line-alt:rgba(170,170,170,0.08);--grid-opacity:0.76;--grid-mask:linear-gradient(180deg,rgba(0,0,0,0.86),rgba(0,0,0,0.2));--prime-float:rgba(94,94,94,0.22);--prime-float-shadow:rgba(255,255,255,0.26);--prime-font:"Cormorant Garamond","Times New Roman",serif;--shadow:0.444584px 0.444584px 0.628737px -1px rgba(0,0,0,0.26),1.21072px 1.21072px 1.71222px -1.5px rgba(0,0,0,0.247),2.6583px 2.6583px 3.75941px -2.25px rgba(0,0,0,0.23),5.90083px 5.90083px 8.34503px -3px rgba(0,0,0,0.192),10px 10px 21.2132px -3.75px rgba(0,0,0,0.056);--shadow-strong:0.444584px 0.444584px 0.628737px -1px rgba(0,0,0,0.3),1.21072px 1.21072px 1.71222px -1.5px rgba(0,0,0,0.284),2.6583px 2.6583px 3.75941px -2.25px rgba(0,0,0,0.264),5.90083px 5.90083px 8.34503px -3px rgba(0,0,0,0.222),10px 10px 21.2132px -3.75px rgba(0,0,0,0.082);--shadow-soft:0.444584px 0.444584px 0.628737px -1px rgba(0,0,0,0.22),1.21072px 1.21072px 1.71222px -1.5px rgba(0,0,0,0.205),2.6583px 2.6583px 3.75941px -2.25px rgba(0,0,0,0.19),4.90083px 4.90083px 7.24503px -3px rgba(0,0,0,0.155),8px 8px 16px -3.6px rgba(0,0,0,0.048);--shadow-inset:inset 4px 4px 8px rgba(0,0,0,0.045),inset -4px -4px 8px rgba(255,255,255,0.7);--shadow-pressed:inset 6px 6px 10px rgba(0,0,0,0.075),inset -5px -5px 10px rgba(255,255,255,0.68);--shadow-cta:0 1px 1px rgba(116,32,0,0.34),0 6px 12px rgba(255,74,0,0.24);--shadow-modal:0 2px 2px rgba(0,0,0,0.3),0 8px 16px rgba(0,0,0,0.14);--card-edge-highlight:inset 1px 1px 1px 0 rgba(255,255,255,1),inset -1px -1px 1px 0 rgba(0,0,0,0.15),-0.5px -0.5px 0 0 rgba(0,0,0,0.05);--card-shadow-object:0.444584px 0.444584px 0.628737px -1px rgba(0,0,0,0.26),1.21072px 1.21072px 1.71222px -1.5px rgba(0,0,0,0.247),2.6583px 2.6583px 3.75941px -2.25px rgba(0,0,0,0.23),5.90083px 5.90083px 8.34503px -3px rgba(0,0,0,0.192),10px 10px 21.2132px -3.75px rgba(0,0,0,0.056);--button-shadow-object:inset 0 1px 0 rgba(255,255,255,0.34),0 1px 1px rgba(0,0,0,0.16),0 4px 8px rgba(0,0,0,0.18);--button-shadow-cta-object:inset 0 1px 0 rgba(255,137,92,0.22),0 1px 1px rgba(161,55,10,0.3),0 4px 8px rgba(255,74,0,0.34);--button-well-shadow:inset 2px 2px 4px rgba(0,0,0,0.04),inset -2px -2px 4px rgba(255,255,255,0.7);--radius-panel:1.18rem;--radius-control:0.84rem;--radius-pill:999px}html[data-theme=dark]{color-scheme:dark;--bg:#272727;--bg-2:#1f1f1f;--bg-start:#323230;--bg-mid:#272727;--bg-end:#1b1b1b;--bg-glow-a:rgba(255,255,255,0.03);--bg-glow-b:rgba(214,87,67,0.08);--panel:rgba(45,45,43,0.94);--panel-strong:rgba(52,52,50,0.98);--surface-card:linear-gradient(180deg,#30302f,#252525);--surface-elevated:linear-gradient(180deg,#343432,#282826);--surface-soft:linear-gradient(180deg,#31312f,#262624);--surface-muted:linear-gradient(180deg,#2c2c2a,#222220);--surface-chip:linear-gradient(180deg,#333331,#292927);--surface-input:linear-gradient(180deg,#21211f,#292927);--surface-accent:linear-gradient(180deg,#333331,#262624);--surface-warm:linear-gradient(180deg,#38312f,#2a2524);--surface-lock:linear-gradient(180deg,#2d2d2b,#232321);--surface-answer:linear-gradient(180deg,#33312f,#272523);--surface-grid:linear-gradient(180deg,#2a2a28,#21211f);--overlay-scrim:rgba(8,8,8,0.42);--overlay-scrim-strong:rgba(5,5,5,0.54);--hero-watermark:rgba(255,255,255,0.06);--number-wall:rgba(233,230,224,0.46);--range-track:#1f1f1e;--range-thumb-ring:rgba(214,87,67,0.14);--range-thumb-fill:#6a6a68;--range-thumb-border:#7a7a78;--range-thumb-shadow:0 1px 2px rgba(0,0,0,0.26),0 3px 6px rgba(0,0,0,0.14);--line:rgba(255,255,255,0.04);--line-strong:rgba(255,255,255,0.08);--text:#f3eee8;--muted:#b1aaa3;--accent:#c9c3bc;--accent-warm:#e87a67;--danger:#e07a67;--positive:#4bc78b;--status-ready-bg:rgba(75,199,139,0.2);--status-ready-border:rgba(75,199,139,0.42);--status-ready-text:#b7f4d2;--status-caution-bg:rgba(232,122,103,0.18);--status-caution-border:rgba(232,122,103,0.36);--status-caution-text:#ffd1c7;--status-neutral-bg:rgba(255,255,255,0.07);--status-neutral-border:rgba(255,255,255,0.12);--status-neutral-text:#d8d0c8;--status-host-bg:rgba(86,148,255,0.2);--status-host-border:rgba(86,148,255,0.38);--status-host-text:#d9e9ff;--live-chip-text:#f1ece5;--live-chip-bg:rgba(58,58,56,0.82);--live-chip-border:rgba(255,255,255,0.08);--grid-line:rgba(255,255,255,0.09);--grid-line-alt:rgba(232,122,103,0.07);--grid-opacity:0.42;--grid-mask:linear-gradient(180deg,rgba(0,0,0,0.84),rgba(0,0,0,0.22));--prime-float:rgba(238,231,222,0.24);--prime-float-shadow:rgba(0,0,0,0.12);--shadow:0.444584px 0.444584px 0.628737px -1px rgba(0,0,0,0.56),1.21072px 1.21072px 1.71222px -1.5px rgba(0,0,0,0.54),2.6583px 2.6583px 3.75941px -2.25px rgba(0,0,0,0.5),5.90083px 5.90083px 8.34503px -3px rgba(0,0,0,0.42),10px 10px 21.2132px -3.75px rgba(0,0,0,0.18);--shadow-strong:0.444584px 0.444584px 0.628737px -1px rgba(0,0,0,0.64),1.21072px 1.21072px 1.71222px -1.5px rgba(0,0,0,0.6),2.6583px 2.6583px 3.75941px -2.25px rgba(0,0,0,0.56),5.90083px 5.90083px 8.34503px -3px rgba(0,0,0,0.48),10px 10px 21.2132px -3.75px rgba(0,0,0,0.24);--shadow-soft:0.444584px 0.444584px 0.628737px -1px rgba(0,0,0,0.48),1.21072px 1.21072px 1.71222px -1.5px rgba(0,0,0,0.46),2.6583px 2.6583px 3.75941px -2.25px rgba(0,0,0,0.42),4.90083px 4.90083px 7.24503px -3px rgba(0,0,0,0.34),8px 8px 16px -3.6px rgba(0,0,0,0.14);--shadow-inset:inset 8px 8px 16px rgba(14,14,14,0.66),inset -7px -7px 14px rgba(255,255,255,0.03);--shadow-pressed:inset 10px 10px 18px rgba(12,12,12,0.72),inset -8px -8px 14px rgba(255,255,255,0.02);--shadow-cta:6px 6px 10px rgba(140,56,39,0.46),-3px -3px 6px rgba(255,255,255,0.012);--shadow-modal:8px 8px 14px rgba(4,4,4,0.7),-3px -3px 5px rgba(255,255,255,0.012);--card-edge-highlight:inset 1px 1px 1px 0 rgba(255,255,255,0.06),inset -1px -1px 1px 0 rgba(0,0,0,0.55),-0.5px -0.5px 0 0 rgba(255,255,255,0.02);--card-shadow-object:0.444584px 0.444584px 0.628737px -1px rgba(0,0,0,0.56),1.21072px 1.21072px 1.71222px -1.5px rgba(0,0,0,0.54),2.6583px 2.6583px 3.75941px -2.25px rgba(0,0,0,0.5),5.90083px 5.90083px 8.34503px -3px rgba(0,0,0,0.42),10px 10px 21.2132px -3.75px rgba(0,0,0,0.18);--button-shadow-object:inset 0 1px 0 rgba(255,255,255,0.04),0 1px 2px rgba(0,0,0,0.32),0 4px 8px rgba(0,0,0,0.5);--button-shadow-cta-object:inset 0 1px 0 rgba(255,255,255,0.02),0 1px 2px rgba(0,0,0,0.34),0 4px 7px rgba(140,56,39,0.32);--button-well-shadow:inset 3px 3px 6px rgba(0,0,0,0.28),inset -2px -2px 4px rgba(255,255,255,0.02)}*{box-sizing:border-box}body,html{max-width:100vw;min-height:100%;height:auto;overflow-x:hidden;overflow-y:auto}body{margin:0;background:radial-gradient(circle at 22% 16%,var(--bg-glow-a),transparent 24%),radial-gradient(circle at 78% 14%,var(--bg-glow-b),transparent 26%),linear-gradient(145deg,var(--bg-start) 0,var(--bg-mid) 42%,var(--bg-end) 100%);color:var(--text);font-family:IBM Plex Sans KR,Apple SD Gothic Neo,Pretendard,sans-serif;-moz-user-select:none;user-select:none;-webkit-user-select:none}a{color:inherit;text-decoration:none}button,input,select,textarea{font:inherit;font-family:inherit}[contenteditable=true],input,textarea{-moz-user-select:text;user-select:text;-webkit-user-select:text}