@font-face{font-display:block;font-family:KaTeX_AMS;font-style:normal;font-weight:400;src:url(../media/KaTeX_AMS-Regular.25ieegmnh38ts.woff2)format("woff2"),url(../media/KaTeX_AMS-Regular.10y3kupq4t663.woff)format("woff"),url(../media/KaTeX_AMS-Regular.418dr7cz3fo2x.ttf)format("truetype")}@font-face{font-display:block;font-family:KaTeX_Caligraphic;font-style:normal;font-weight:700;src:url(../media/KaTeX_Caligraphic-Bold.06b-ya9t43ioz.woff2)format("woff2"),url(../media/KaTeX_Caligraphic-Bold.2vmk2hva4ctha.woff)format("woff"),url(../media/KaTeX_Caligraphic-Bold.40ltxhe834pns.ttf)format("truetype")}@font-face{font-display:block;font-family:KaTeX_Caligraphic;font-style:normal;font-weight:400;src:url(../media/KaTeX_Caligraphic-Regular.2eph4dlhid_m9.woff2)format("woff2"),url(../media/KaTeX_Caligraphic-Regular.3gxeetazf831f.woff)format("woff"),url(../media/KaTeX_Caligraphic-Regular.07-7u27-nhn_r.ttf)format("truetype")}@font-face{font-display:block;font-family:KaTeX_Fraktur;font-style:normal;font-weight:700;src:url(../media/KaTeX_Fraktur-Bold.2sasz-d-jtw8y.woff2)format("woff2"),url(../media/KaTeX_Fraktur-Bold.1alcy76__wdj2.woff)format("woff"),url(../media/KaTeX_Fraktur-Bold.19yqa_tc9d_gx.ttf)format("truetype")}@font-face{font-display:block;font-family:KaTeX_Fraktur;font-style:normal;font-weight:400;src:url(../media/KaTeX_Fraktur-Regular.2d10y4xmjvzlf.woff2)format("woff2"),url(../media/KaTeX_Fraktur-Regular.110oo81prr9n5.woff)format("woff"),url(../media/KaTeX_Fraktur-Regular.2qhy34r6a05dn.ttf)format("truetype")}@font-face{font-display:block;font-family:KaTeX_Main;font-style:normal;font-weight:700;src:url(../media/KaTeX_Main-Bold.3-rowy8o6_4ky.woff2)format("woff2"),url(../media/KaTeX_Main-Bold.0v1esh257kqpe.woff)format("woff"),url(../media/KaTeX_Main-Bold.0us_n0tnxlxu7.ttf)format("truetype")}@font-face{font-display:block;font-family:KaTeX_Main;font-style:italic;font-weight:700;src:url(../media/KaTeX_Main-BoldItalic.14r2naom8mrec.woff2)format("woff2"),url(../media/KaTeX_Main-BoldItalic.13355ck5zr48q.woff)format("woff"),url(../media/KaTeX_Main-BoldItalic.3x_u9cepaced0.ttf)format("truetype")}@font-face{font-display:block;font-family:KaTeX_Main;font-style:italic;font-weight:400;src:url(../media/KaTeX_Main-Italic.0lig0v9j0700p.woff2)format("woff2"),url(../media/KaTeX_Main-Italic.0afv392dj4w59.woff)format("woff"),url(../media/KaTeX_Main-Italic.2hkw3230mfwcv.ttf)format("truetype")}@font-face{font-display:block;font-family:KaTeX_Main;font-style:normal;font-weight:400;src:url(../media/KaTeX_Main-Regular.1ryvsdzh2w1_e.woff2)format("woff2"),url(../media/KaTeX_Main-Regular.15u8r3b2y7fv4.woff)format("woff"),url(../media/KaTeX_Main-Regular.0symfa7dqj6jd.ttf)format("truetype")}@font-face{font-display:block;font-family:KaTeX_Math;font-style:italic;font-weight:700;src:url(../media/KaTeX_Math-BoldItalic.1oopuu636h4il.woff2)format("woff2"),url(../media/KaTeX_Math-BoldItalic.12pl58orkw9rg.woff)format("woff"),url(../media/KaTeX_Math-BoldItalic.0y5w36a5aq__2.ttf)format("truetype")}@font-face{font-display:block;font-family:KaTeX_Math;font-style:italic;font-weight:400;src:url(../media/KaTeX_Math-Italic.32405s1aq8vas.woff2)format("woff2"),url(../media/KaTeX_Math-Italic.0w0b1ugh62cfr.woff)format("woff"),url(../media/KaTeX_Math-Italic.2vkekfblmz5nb.ttf)format("truetype")}@font-face{font-display:block;font-family:KaTeX_SansSerif;font-style:normal;font-weight:700;src:url(../media/KaTeX_SansSerif-Bold.0h3wi2z_eouyg.woff2)format("woff2"),url(../media/KaTeX_SansSerif-Bold.1ovw5p-yjp56g.woff)format("woff"),url(../media/KaTeX_SansSerif-Bold.2d03q85pwxpti.ttf)format("truetype")}@font-face{font-display:block;font-family:KaTeX_SansSerif;font-style:italic;font-weight:400;src:url(../media/KaTeX_SansSerif-Italic.0wkjc4dm2kcit.woff2)format("woff2"),url(../media/KaTeX_SansSerif-Italic.1qavw__2zz8gk.woff)format("woff"),url(../media/KaTeX_SansSerif-Italic.3i-q087b23-m8.ttf)format("truetype")}@font-face{font-display:block;font-family:KaTeX_SansSerif;font-style:normal;font-weight:400;src:url(../media/KaTeX_SansSerif-Regular.2peiewu59z3d-.woff2)format("woff2"),url(../media/KaTeX_SansSerif-Regular.1i4afx8nk8n4r.woff)format("woff"),url(../media/KaTeX_SansSerif-Regular.31pbu25feko_c.ttf)format("truetype")}@font-face{font-display:block;font-family:KaTeX_Script;font-style:normal;font-weight:400;src:url(../media/KaTeX_Script-Regular.11h14300o9pd0.woff2)format("woff2"),url(../media/KaTeX_Script-Regular.3110jb9c-bxna.woff)format("woff"),url(../media/KaTeX_Script-Regular.28p_x7iz71ofe.ttf)format("truetype")}@font-face{font-display:block;font-family:KaTeX_Size1;font-style:normal;font-weight:400;src:url(../media/KaTeX_Size1-Regular.03lhvx36ekcou.woff2)format("woff2"),url(../media/KaTeX_Size1-Regular.1slf4bh0hc6vm.woff)format("woff"),url(../media/KaTeX_Size1-Regular.1y57-ck23ey8c.ttf)format("truetype")}@font-face{font-display:block;font-family:KaTeX_Size2;font-style:normal;font-weight:400;src:url(../media/KaTeX_Size2-Regular.14s5gg-puz6h-.woff2)format("woff2"),url(../media/KaTeX_Size2-Regular.0-kwyvx03omo8.woff)format("woff"),url(../media/KaTeX_Size2-Regular.2u0s-b07k2o9m.ttf)format("truetype")}@font-face{font-display:block;font-family:KaTeX_Size3;font-style:normal;font-weight:400;src:url(../media/KaTeX_Size3-Regular.1n1rgzz84z8r9.woff2)format("woff2"),url(../media/KaTeX_Size3-Regular.04o9a_02gu_e8.woff)format("woff"),url(../media/KaTeX_Size3-Regular.1pkn-dge4q0fv.ttf)format("truetype")}@font-face{font-display:block;font-family:KaTeX_Size4;font-style:normal;font-weight:400;src:url(../media/KaTeX_Size4-Regular.2sgotkdv3dcyv.woff2)format("woff2"),url(../media/KaTeX_Size4-Regular.3p2r1l7xmebxv.woff)format("woff"),url(../media/KaTeX_Size4-Regular.2uelkfk2yna5e.ttf)format("truetype")}@font-face{font-display:block;font-family:KaTeX_Typewriter;font-style:normal;font-weight:400;src:url(../media/KaTeX_Typewriter-Regular.11gr2d2wuwz77.woff2)format("woff2"),url(../media/KaTeX_Typewriter-Regular.12f8myjij3617.woff)format("woff"),url(../media/KaTeX_Typewriter-Regular.3nee9kjfy6nm8.ttf)format("truetype")}.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:"0.18.7"}.katex .katex-mathml{clip-path:inset(50%);border:0;width:1px;height:1px;padding:0;position:absolute;overflow:hidden}.katex .katex-html>.katex-newline{display:block}.katex .katex-base{white-space:nowrap;width:min-content;position:relative}.katex .katex-base,.katex .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 .katex-vbox{flex-direction:column;align-items:baseline;display:inline-flex}.katex .katex-thinbox{flex-direction:row;width:0;max-width:0;display:inline-flex}.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 .katex-hdashline,.katex .katex-hline,.katex .katex-overline .overline-line,.katex .katex-rule,.katex .katex-underline .underline-line,.katex .mfrac .frac-line{min-height:1px}.katex .mspace{display:inline-block}.katex .katex-smash{line-height:0;display:inline}.katex .clap,.katex .llap,.katex .rlap{width:0;position:relative}.katex .clap>.katex-inner,.katex .llap>.katex-inner,.katex .rlap>.katex-inner{position:absolute}.katex .clap>.katex-fix,.katex .llap>.katex-fix,.katex .rlap>.katex-fix{display:inline-block}.katex .llap>.katex-inner{right:0}.katex .clap>.katex-inner,.katex .rlap>.katex-inner{left:0}.katex .clap>.katex-inner>span{margin-left:-50%;margin-right:50%}.katex .katex-rule{border:0 solid;display:inline-block;position:relative}.katex .katex-hline,.katex .katex-overline .overline-line,.katex .katex-underline .underline-line{border-bottom-style:solid;width:100%;display:inline-block}.katex .katex-hdashline{border-bottom-style:dashed;width:100%;display:inline-block}.katex .sqrt>.katex-root{margin-left:.277778em;margin-right:-.555556em}.katex .fontsize-ensurer.reset-size1.size1,.katex .katex-sizing.reset-size1.size1{font-size:1em}.katex .fontsize-ensurer.reset-size1.size2,.katex .katex-sizing.reset-size1.size2{font-size:1.2em}.katex .fontsize-ensurer.reset-size1.size3,.katex .katex-sizing.reset-size1.size3{font-size:1.4em}.katex .fontsize-ensurer.reset-size1.size4,.katex .katex-sizing.reset-size1.size4{font-size:1.6em}.katex .fontsize-ensurer.reset-size1.size5,.katex .katex-sizing.reset-size1.size5{font-size:1.8em}.katex .fontsize-ensurer.reset-size1.size6,.katex .katex-sizing.reset-size1.size6{font-size:2em}.katex .fontsize-ensurer.reset-size1.size7,.katex .katex-sizing.reset-size1.size7{font-size:2.4em}.katex .fontsize-ensurer.reset-size1.size8,.katex .katex-sizing.reset-size1.size8{font-size:2.88em}.katex .fontsize-ensurer.reset-size1.size9,.katex .katex-sizing.reset-size1.size9{font-size:3.456em}.katex .fontsize-ensurer.reset-size1.size10,.katex .katex-sizing.reset-size1.size10{font-size:4.148em}.katex .fontsize-ensurer.reset-size1.size11,.katex .katex-sizing.reset-size1.size11{font-size:4.976em}.katex .fontsize-ensurer.reset-size2.size1,.katex .katex-sizing.reset-size2.size1{font-size:.833333em}.katex .fontsize-ensurer.reset-size2.size2,.katex .katex-sizing.reset-size2.size2{font-size:1em}.katex .fontsize-ensurer.reset-size2.size3,.katex .katex-sizing.reset-size2.size3{font-size:1.16667em}.katex .fontsize-ensurer.reset-size2.size4,.katex .katex-sizing.reset-size2.size4{font-size:1.33333em}.katex .fontsize-ensurer.reset-size2.size5,.katex .katex-sizing.reset-size2.size5{font-size:1.5em}.katex .fontsize-ensurer.reset-size2.size6,.katex .katex-sizing.reset-size2.size6{font-size:1.66667em}.katex .fontsize-ensurer.reset-size2.size7,.katex .katex-sizing.reset-size2.size7{font-size:2em}.katex .fontsize-ensurer.reset-size2.size8,.katex .katex-sizing.reset-size2.size8{font-size:2.4em}.katex .fontsize-ensurer.reset-size2.size9,.katex .katex-sizing.reset-size2.size9{font-size:2.88em}.katex .fontsize-ensurer.reset-size2.size10,.katex .katex-sizing.reset-size2.size10{font-size:3.45667em}.katex .fontsize-ensurer.reset-size2.size11,.katex .katex-sizing.reset-size2.size11{font-size:4.14667em}.katex .fontsize-ensurer.reset-size3.size1,.katex .katex-sizing.reset-size3.size1{font-size:.714286em}.katex .fontsize-ensurer.reset-size3.size2,.katex .katex-sizing.reset-size3.size2{font-size:.857143em}.katex .fontsize-ensurer.reset-size3.size3,.katex .katex-sizing.reset-size3.size3{font-size:1em}.katex .fontsize-ensurer.reset-size3.size4,.katex .katex-sizing.reset-size3.size4{font-size:1.14286em}.katex .fontsize-ensurer.reset-size3.size5,.katex .katex-sizing.reset-size3.size5{font-size:1.28571em}.katex .fontsize-ensurer.reset-size3.size6,.katex .katex-sizing.reset-size3.size6{font-size:1.42857em}.katex .fontsize-ensurer.reset-size3.size7,.katex .katex-sizing.reset-size3.size7{font-size:1.71429em}.katex .fontsize-ensurer.reset-size3.size8,.katex .katex-sizing.reset-size3.size8{font-size:2.05714em}.katex .fontsize-ensurer.reset-size3.size9,.katex .katex-sizing.reset-size3.size9{font-size:2.46857em}.katex .fontsize-ensurer.reset-size3.size10,.katex .katex-sizing.reset-size3.size10{font-size:2.96286em}.katex .fontsize-ensurer.reset-size3.size11,.katex .katex-sizing.reset-size3.size11{font-size:3.55429em}.katex .fontsize-ensurer.reset-size4.size1,.katex .katex-sizing.reset-size4.size1{font-size:.625em}.katex .fontsize-ensurer.reset-size4.size2,.katex .katex-sizing.reset-size4.size2{font-size:.75em}.katex .fontsize-ensurer.reset-size4.size3,.katex .katex-sizing.reset-size4.size3{font-size:.875em}.katex .fontsize-ensurer.reset-size4.size4,.katex .katex-sizing.reset-size4.size4{font-size:1em}.katex .fontsize-ensurer.reset-size4.size5,.katex .katex-sizing.reset-size4.size5{font-size:1.125em}.katex .fontsize-ensurer.reset-size4.size6,.katex .katex-sizing.reset-size4.size6{font-size:1.25em}.katex .fontsize-ensurer.reset-size4.size7,.katex .katex-sizing.reset-size4.size7{font-size:1.5em}.katex .fontsize-ensurer.reset-size4.size8,.katex .katex-sizing.reset-size4.size8{font-size:1.8em}.katex .fontsize-ensurer.reset-size4.size9,.katex .katex-sizing.reset-size4.size9{font-size:2.16em}.katex .fontsize-ensurer.reset-size4.size10,.katex .katex-sizing.reset-size4.size10{font-size:2.5925em}.katex .fontsize-ensurer.reset-size4.size11,.katex .katex-sizing.reset-size4.size11{font-size:3.11em}.katex .fontsize-ensurer.reset-size5.size1,.katex .katex-sizing.reset-size5.size1{font-size:.555556em}.katex .fontsize-ensurer.reset-size5.size2,.katex .katex-sizing.reset-size5.size2{font-size:.666667em}.katex .fontsize-ensurer.reset-size5.size3,.katex .katex-sizing.reset-size5.size3{font-size:.777778em}.katex .fontsize-ensurer.reset-size5.size4,.katex .katex-sizing.reset-size5.size4{font-size:.888889em}.katex .fontsize-ensurer.reset-size5.size5,.katex .katex-sizing.reset-size5.size5{font-size:1em}.katex .fontsize-ensurer.reset-size5.size6,.katex .katex-sizing.reset-size5.size6{font-size:1.11111em}.katex .fontsize-ensurer.reset-size5.size7,.katex .katex-sizing.reset-size5.size7{font-size:1.33333em}.katex .fontsize-ensurer.reset-size5.size8,.katex .katex-sizing.reset-size5.size8{font-size:1.6em}.katex .fontsize-ensurer.reset-size5.size9,.katex .katex-sizing.reset-size5.size9{font-size:1.92em}.katex .fontsize-ensurer.reset-size5.size10,.katex .katex-sizing.reset-size5.size10{font-size:2.30444em}.katex .fontsize-ensurer.reset-size5.size11,.katex .katex-sizing.reset-size5.size11{font-size:2.76444em}.katex .fontsize-ensurer.reset-size6.size1,.katex .katex-sizing.reset-size6.size1{font-size:.5em}.katex .fontsize-ensurer.reset-size6.size2,.katex .katex-sizing.reset-size6.size2{font-size:.6em}.katex .fontsize-ensurer.reset-size6.size3,.katex .katex-sizing.reset-size6.size3{font-size:.7em}.katex .fontsize-ensurer.reset-size6.size4,.katex .katex-sizing.reset-size6.size4{font-size:.8em}.katex .fontsize-ensurer.reset-size6.size5,.katex .katex-sizing.reset-size6.size5{font-size:.9em}.katex .fontsize-ensurer.reset-size6.size6,.katex .katex-sizing.reset-size6.size6{font-size:1em}.katex .fontsize-ensurer.reset-size6.size7,.katex .katex-sizing.reset-size6.size7{font-size:1.2em}.katex .fontsize-ensurer.reset-size6.size8,.katex .katex-sizing.reset-size6.size8{font-size:1.44em}.katex .fontsize-ensurer.reset-size6.size9,.katex .katex-sizing.reset-size6.size9{font-size:1.728em}.katex .fontsize-ensurer.reset-size6.size10,.katex .katex-sizing.reset-size6.size10{font-size:2.074em}.katex .fontsize-ensurer.reset-size6.size11,.katex .katex-sizing.reset-size6.size11{font-size:2.488em}.katex .fontsize-ensurer.reset-size7.size1,.katex .katex-sizing.reset-size7.size1{font-size:.416667em}.katex .fontsize-ensurer.reset-size7.size2,.katex .katex-sizing.reset-size7.size2{font-size:.5em}.katex .fontsize-ensurer.reset-size7.size3,.katex .katex-sizing.reset-size7.size3{font-size:.583333em}.katex .fontsize-ensurer.reset-size7.size4,.katex .katex-sizing.reset-size7.size4{font-size:.666667em}.katex .fontsize-ensurer.reset-size7.size5,.katex .katex-sizing.reset-size7.size5{font-size:.75em}.katex .fontsize-ensurer.reset-size7.size6,.katex .katex-sizing.reset-size7.size6{font-size:.833333em}.katex .fontsize-ensurer.reset-size7.size7,.katex .katex-sizing.reset-size7.size7{font-size:1em}.katex .fontsize-ensurer.reset-size7.size8,.katex .katex-sizing.reset-size7.size8{font-size:1.2em}.katex .fontsize-ensurer.reset-size7.size9,.katex .katex-sizing.reset-size7.size9{font-size:1.44em}.katex .fontsize-ensurer.reset-size7.size10,.katex .katex-sizing.reset-size7.size10{font-size:1.72833em}.katex .fontsize-ensurer.reset-size7.size11,.katex .katex-sizing.reset-size7.size11{font-size:2.07333em}.katex .fontsize-ensurer.reset-size8.size1,.katex .katex-sizing.reset-size8.size1{font-size:.347222em}.katex .fontsize-ensurer.reset-size8.size2,.katex .katex-sizing.reset-size8.size2{font-size:.416667em}.katex .fontsize-ensurer.reset-size8.size3,.katex .katex-sizing.reset-size8.size3{font-size:.486111em}.katex .fontsize-ensurer.reset-size8.size4,.katex .katex-sizing.reset-size8.size4{font-size:.555556em}.katex .fontsize-ensurer.reset-size8.size5,.katex .katex-sizing.reset-size8.size5{font-size:.625em}.katex .fontsize-ensurer.reset-size8.size6,.katex .katex-sizing.reset-size8.size6{font-size:.694444em}.katex .fontsize-ensurer.reset-size8.size7,.katex .katex-sizing.reset-size8.size7{font-size:.833333em}.katex .fontsize-ensurer.reset-size8.size8,.katex .katex-sizing.reset-size8.size8{font-size:1em}.katex .fontsize-ensurer.reset-size8.size9,.katex .katex-sizing.reset-size8.size9{font-size:1.2em}.katex .fontsize-ensurer.reset-size8.size10,.katex .katex-sizing.reset-size8.size10{font-size:1.44028em}.katex .fontsize-ensurer.reset-size8.size11,.katex .katex-sizing.reset-size8.size11{font-size:1.72778em}.katex .fontsize-ensurer.reset-size9.size1,.katex .katex-sizing.reset-size9.size1{font-size:.289352em}.katex .fontsize-ensurer.reset-size9.size2,.katex .katex-sizing.reset-size9.size2{font-size:.347222em}.katex .fontsize-ensurer.reset-size9.size3,.katex .katex-sizing.reset-size9.size3{font-size:.405093em}.katex .fontsize-ensurer.reset-size9.size4,.katex .katex-sizing.reset-size9.size4{font-size:.462963em}.katex .fontsize-ensurer.reset-size9.size5,.katex .katex-sizing.reset-size9.size5{font-size:.520833em}.katex .fontsize-ensurer.reset-size9.size6,.katex .katex-sizing.reset-size9.size6{font-size:.578704em}.katex .fontsize-ensurer.reset-size9.size7,.katex .katex-sizing.reset-size9.size7{font-size:.694444em}.katex .fontsize-ensurer.reset-size9.size8,.katex .katex-sizing.reset-size9.size8{font-size:.833333em}.katex .fontsize-ensurer.reset-size9.size9,.katex .katex-sizing.reset-size9.size9{font-size:1em}.katex .fontsize-ensurer.reset-size9.size10,.katex .katex-sizing.reset-size9.size10{font-size:1.20023em}.katex .fontsize-ensurer.reset-size9.size11,.katex .katex-sizing.reset-size9.size11{font-size:1.43981em}.katex .fontsize-ensurer.reset-size10.size1,.katex .katex-sizing.reset-size10.size1{font-size:.24108em}.katex .fontsize-ensurer.reset-size10.size2,.katex .katex-sizing.reset-size10.size2{font-size:.289296em}.katex .fontsize-ensurer.reset-size10.size3,.katex .katex-sizing.reset-size10.size3{font-size:.337512em}.katex .fontsize-ensurer.reset-size10.size4,.katex .katex-sizing.reset-size10.size4{font-size:.385728em}.katex .fontsize-ensurer.reset-size10.size5,.katex .katex-sizing.reset-size10.size5{font-size:.433944em}.katex .fontsize-ensurer.reset-size10.size6,.katex .katex-sizing.reset-size10.size6{font-size:.48216em}.katex .fontsize-ensurer.reset-size10.size7,.katex .katex-sizing.reset-size10.size7{font-size:.578592em}.katex .fontsize-ensurer.reset-size10.size8,.katex .katex-sizing.reset-size10.size8{font-size:.694311em}.katex .fontsize-ensurer.reset-size10.size9,.katex .katex-sizing.reset-size10.size9{font-size:.833173em}.katex .fontsize-ensurer.reset-size10.size10,.katex .katex-sizing.reset-size10.size10{font-size:1em}.katex .fontsize-ensurer.reset-size10.size11,.katex .katex-sizing.reset-size10.size11{font-size:1.19961em}.katex .fontsize-ensurer.reset-size11.size1,.katex .katex-sizing.reset-size11.size1{font-size:.200965em}.katex .fontsize-ensurer.reset-size11.size2,.katex .katex-sizing.reset-size11.size2{font-size:.241158em}.katex .fontsize-ensurer.reset-size11.size3,.katex .katex-sizing.reset-size11.size3{font-size:.281351em}.katex .fontsize-ensurer.reset-size11.size4,.katex .katex-sizing.reset-size11.size4{font-size:.321543em}.katex .fontsize-ensurer.reset-size11.size5,.katex .katex-sizing.reset-size11.size5{font-size:.361736em}.katex .fontsize-ensurer.reset-size11.size6,.katex .katex-sizing.reset-size11.size6{font-size:.401929em}.katex .fontsize-ensurer.reset-size11.size7,.katex .katex-sizing.reset-size11.size7{font-size:.482315em}.katex .fontsize-ensurer.reset-size11.size8,.katex .katex-sizing.reset-size11.size8{font-size:.578778em}.katex .fontsize-ensurer.reset-size11.size9,.katex .katex-sizing.reset-size11.size9{font-size:.694534em}.katex .fontsize-ensurer.reset-size11.size10,.katex .katex-sizing.reset-size11.size10{font-size:.833601em}.katex .fontsize-ensurer.reset-size11.size11,.katex .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 .katex-accent>.vlist-t,.katex .op-limits>.vlist-t{text-align:center}.katex .katex-accent .accent-body{position:relative}.katex .katex-accent .accent-body:not(.accent-full){width:0}.katex .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 .katex-stretchy{width:100%;display:block;position:relative;overflow:hidden}.katex .katex-stretchy:after,.katex .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 .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 .reflectbox{display:inline-block;transform:scaleX(-1)}.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>.katex-tag{position:absolute;right:0}.katex-display.leqno>.katex>.katex-html>.katex-tag{left:0;right:auto}.katex-display.fleqn>.katex{text-align:left;padding-left:2em}body{counter-reset:katexEqnNo mmlEqnNo}
:root{--brand:#8f3d16;--brand-strong:#6f2e10;--brand-soft:#fbeee6;--ink:#1f1a17;--ink-2:#3d3430;--muted:#7a6f68;--line:#eadfd8;--line-2:#f3ece7;--bg:#f7f4f1;--card:#fff;--side:#241a15;--side-ink:#e9ddd5;--side-muted:#a8988e;--ok:#1f8a4c;--ok-soft:#e6f5ec;--bad:#c0392b;--bad-soft:#fbe9e7;--warn:#b7791f;--warn-soft:#fdf3e1;--info:#2c6fb7;--info-soft:#e8f1fb;--radius:12px;--mono:ui-monospace, SFMono-Regular, Menlo, Consolas, monospace}*{box-sizing:border-box}html,body{margin:0}body{color:var(--ink);background:var(--bg);font-family:-apple-system,BlinkMacSystemFont,Apple SD Gothic Neo,Pretendard,Noto Sans KR,sans-serif;font-size:14px;line-height:1.55}a{color:var(--brand);text-decoration:none}a:hover{text-decoration:underline}h1{letter-spacing:-.01em;margin:0;font-size:1.45rem}h2{margin:0 0 12px;font-size:1.05rem}h3{margin:16px 0 8px;font-size:.95rem}code,.mono{font-family:var(--mono);font-size:.86em}code{background:#f3ede8;border-radius:6px;padding:1px 6px}hr{border:0;border-top:1px solid var(--line);margin:16px 0}.shell{grid-template-columns:232px minmax(0,1fr);min-height:100vh;display:grid}.sidebar{background:var(--side);height:100vh;color:var(--side-ink);flex-direction:column;gap:4px;padding:18px 12px;display:flex;position:sticky;top:0;overflow-y:auto}.sidebar .brand{color:#fff;align-items:center;gap:8px;padding:4px 10px 14px;font-size:1.02rem;font-weight:800;display:flex}.sidebar .brand small{color:var(--side-muted);font-size:.72rem;font-weight:500;display:block}.sidebar .menu-toggle{display:none}.sidebar nav{flex-direction:column;gap:2px;display:flex}.sidebar .nav-group{color:var(--side-muted);letter-spacing:.04em;padding:12px 10px 4px;font-size:.72rem}.sidebar nav a{color:var(--side-ink);border-radius:8px;align-items:center;gap:10px;padding:8px 10px;font-size:.92rem;display:flex}.sidebar nav a:hover{background:#ffffff12;text-decoration:none}.sidebar nav a.active{background:var(--brand);color:#fff}.sidebar nav a .ico{text-align:center;opacity:.9;width:18px}.sidebar .side-foot{color:var(--side-muted);margin-top:auto;padding:12px 10px 0;font-size:.75rem}.main{flex-direction:column;min-width:0;display:flex}.topbar{z-index:20;-webkit-backdrop-filter:blur(6px);backdrop-filter:blur(6px);border-bottom:1px solid var(--line);background:#ffffffeb;justify-content:space-between;align-items:center;gap:12px;padding:10px 24px;display:flex;position:sticky;top:0}.topbar .crumbs{color:var(--muted);font-size:.85rem}.topbar .who{align-items:center;gap:10px;font-size:.88rem;display:flex}.topbar .who form{margin:0}.content{width:100%;max-width:1400px;padding:22px 24px 60px}.page-head{flex-wrap:wrap;justify-content:space-between;align-items:flex-end;gap:12px;margin-bottom:18px;display:flex}.page-head p{color:var(--muted);margin:4px 0 0}.back{font-size:.85rem}@media (max-width:768px){.shell{grid-template-columns:1fr}.sidebar{z-index:30;flex-direction:column;height:auto;padding:8px 12px;position:sticky;top:0}.sidebar .brand{padding:4px}.sidebar .head-row{justify-content:space-between;align-items:center;display:flex}.sidebar .menu-toggle{color:#fff;background:0 0;border:1px solid #ffffff40;padding:4px 10px;display:inline-flex}.sidebar nav,.sidebar .side-foot{display:none}.sidebar.open nav{padding-bottom:8px;display:flex}.topbar{padding:8px 14px;position:static}.content{padding:16px 14px 48px}}.card{background:var(--card);border:1px solid var(--line);border-radius:var(--radius);min-width:0;padding:16px 18px}.card+.card{margin-top:16px}.grid>.card+.card,.stats>*+*{margin-top:0}.level-row{border-bottom:1px solid var(--line-2);grid-template-columns:150px 80px 150px minmax(0,1fr) 80px auto;align-items:end;gap:10px;padding-bottom:12px;display:grid}@media (max-width:1100px){.level-row{grid-template-columns:repeat(2,minmax(0,1fr))}.level-row .span-desc{grid-column:1/-1}}.card-head{flex-wrap:wrap;justify-content:space-between;align-items:center;gap:10px;margin-bottom:12px;display:flex}.card-head h2{margin:0}.grid{gap:16px;display:grid}.grid.cols-2{grid-template-columns:repeat(2,minmax(0,1fr))}.grid.cols-3{grid-template-columns:repeat(3,minmax(0,1fr))}.grid.cols-4{grid-template-columns:repeat(4,minmax(0,1fr))}.section{margin-top:16px}@media (max-width:1100px){.grid.cols-4,.grid.cols-3{grid-template-columns:repeat(2,minmax(0,1fr))}}@media (max-width:768px){.grid.cols-2,.grid.cols-3,.grid.cols-4{grid-template-columns:minmax(0,1fr)}}.stat{background:var(--card);border:1px solid var(--line);border-radius:var(--radius);padding:14px 16px}.stat .label{color:var(--muted);font-size:.8rem}.stat .value{letter-spacing:-.02em;margin-top:2px;font-size:1.6rem;font-weight:800}.stat .sub{color:var(--muted);margin-top:2px;font-size:.78rem}.stats{grid-template-columns:repeat(auto-fit,minmax(160px,1fr));gap:12px;display:grid}.muted{color:var(--muted)}.small{font-size:.82rem}.tiny{font-size:.74rem}.nowrap{white-space:nowrap}.right{text-align:right}.center{text-align:center}.row{flex-wrap:wrap;align-items:center;gap:8px;display:flex}.spread{flex-wrap:wrap;justify-content:space-between;align-items:center;gap:8px;display:flex}.stack{gap:10px;display:grid}.grow{flex:1;min-width:0}.break{word-break:break-all}.alert{border:1px solid #0000;border-radius:10px;padding:10px 14px;font-size:.9rem}.alert.error{background:var(--bad-soft);color:#8e2a1f;border-color:#f2c9c3}.alert.ok{background:var(--ok-soft);color:#186b3b;border-color:#bfe3cc}.alert.warn{background:var(--warn-soft);color:#7a4f10;border-color:#f0dcb4}.alert.info{background:var(--info-soft);color:#1f4f85;border-color:#c9ddf3}.empty{text-align:center;color:var(--muted);padding:28px 12px}.badge{color:var(--ink-2);white-space:nowrap;background:#f1ebe6;border-radius:999px;align-items:center;gap:4px;padding:1px 8px;font-size:.74rem;font-weight:600;display:inline-flex}.badge.ok{background:var(--ok-soft);color:var(--ok)}.badge.bad{background:var(--bad-soft);color:var(--bad)}.badge.warn{background:var(--warn-soft);color:var(--warn)}.badge.info{background:var(--info-soft);color:var(--info)}.badge.brand{background:var(--brand-soft);color:var(--brand)}.badge.mute{color:var(--muted);background:#f1ebe6}button,.button{font:inherit;cursor:pointer;white-space:nowrap;background:var(--brand);color:#fff;border:1px solid var(--brand);border-radius:8px;justify-content:center;align-items:center;gap:6px;padding:7px 14px;font-size:.88rem;font-weight:600;text-decoration:none;display:inline-flex}.button:hover{filter:brightness(1.06);text-decoration:none}button:hover{filter:brightness(1.06)}button:disabled{opacity:.55;cursor:default;filter:none}button.secondary,.button.secondary{color:var(--brand);background:#fff}button.ghost,.button.ghost{color:var(--ink-2);border-color:var(--line);background:0 0}button.danger,.button.danger{background:var(--bad);border-color:var(--bad);color:#fff}button.small,.button.small{padding:3px 10px;font-size:.8rem}button.linklike{color:var(--brand);background:0 0;border:none;padding:0;font-weight:500}input,select,textarea{font:inherit;width:100%;color:var(--ink);border:1px solid var(--line);background:#fff;border-radius:8px;padding:7px 10px;font-size:.9rem}textarea{resize:vertical;min-height:70px;line-height:1.5}textarea.code,input.code{font-family:var(--mono);font-size:.84rem}input:focus,select:focus,textarea:focus{outline:2px solid var(--brand-soft);border-color:var(--brand)}input[type=checkbox],input[type=radio]{width:auto;accent-color:var(--brand)}label.field{color:var(--ink-2);gap:4px;min-width:0;font-size:.84rem;font-weight:600;display:grid}label.field .hint{color:var(--muted);font-size:.76rem;font-weight:400}.check{align-items:center;gap:6px;font-size:.86rem;font-weight:500;display:inline-flex}.filters{flex-wrap:wrap;align-items:flex-end;gap:8px;margin-bottom:14px;display:flex}.filters label.field{min-width:130px}.filters .grow-field{flex:1;min-width:180px}.form-grid{grid-template-columns:repeat(auto-fit,minmax(180px,1fr));gap:12px;display:grid}.form-grid .span-all{grid-column:1/-1}.table-wrap{border:1px solid var(--line);background:#fff;border-radius:10px;overflow-x:auto}table{border-collapse:collapse;width:100%;font-size:.86rem}th,td{text-align:left;border-bottom:1px solid var(--line-2);vertical-align:top;padding:8px 10px}th{color:var(--ink-2);white-space:nowrap;background:#faf6f3;font-weight:600;position:sticky;top:0}tbody tr:hover{background:#fcfaf8}tbody tr:last-child td{border-bottom:0}td.num,th.num{text-align:right;font-variant-numeric:tabular-nums;white-space:nowrap}td.cell-clip{text-overflow:ellipsis;white-space:nowrap;max-width:360px;overflow:hidden}.pager{flex-wrap:wrap;justify-content:space-between;align-items:center;gap:8px;margin-top:10px;display:flex}.pager .pages{gap:4px;display:flex}.pager a,.pager span.cur{border:1px solid var(--line);background:#fff;border-radius:6px;padding:3px 10px;font-size:.82rem}.pager span.cur{background:var(--brand);color:#fff;border-color:var(--brand)}.pager .disabled{opacity:.4;pointer-events:none}.tabs{border-bottom:1px solid var(--line);gap:4px;margin-bottom:14px;display:flex;overflow-x:auto}.tabs a{color:var(--muted);white-space:nowrap;border-bottom:2px solid #0000;padding:8px 14px;font-weight:600}.tabs a:hover{color:var(--ink);text-decoration:none}.tabs a.active{color:var(--brand);border-bottom-color:var(--brand)}.bars{align-items:flex-end;gap:3px;height:150px;padding-top:8px;display:flex}.bars .bar{flex-direction:column;flex:1;justify-content:flex-end;min-width:4px;height:100%;display:flex;position:relative}.bars .bar .fill{background:var(--brand);border-radius:3px 3px 0 0;min-height:1px}.bars .bar .fill.alt{background:#d9a383}.bars .bar .fill.err{background:var(--bad);border-radius:0}.bars .bar .fill.warn{background:var(--warn);border-radius:0}.bars .bar:hover .fill{filter:brightness(1.15)}.bars-axis{gap:3px;margin-top:4px;display:flex}.bars-axis span{min-width:4px;color:var(--muted);text-align:center;white-space:nowrap;flex:1;font-size:.64rem;overflow:hidden}.legend{color:var(--muted);flex-wrap:wrap;gap:12px;margin-top:6px;font-size:.76rem;display:flex}.legend i{vertical-align:-1px;border-radius:2px;width:10px;height:10px;margin-right:4px;display:inline-block}.hbar{grid-template-columns:minmax(0,1fr) 90px;align-items:center;gap:8px;padding:3px 0;font-size:.84rem;display:grid}.hbar .track{background:var(--line-2);border-radius:99px;height:8px;overflow:hidden}.hbar .track div{background:var(--brand);border-radius:99px;height:100%}.progress{background:var(--line-2);border-radius:99px;min-width:70px;height:6px;overflow:hidden}.progress div{background:var(--brand);height:100%}.preview{border:1px dashed var(--line);background:#fffdfb;border-radius:10px;padding:14px}.preview .q{font-size:.98rem}.preview .passage{white-space:pre-wrap;background:#faf6f3;border-radius:8px;margin-bottom:10px;padding:10px 12px}.preview ol.choices{gap:4px;margin:10px 0 0;padding-left:0;list-style:none;display:grid}.preview ol.choices li{border-radius:6px;padding:5px 8px}.preview ol.choices li.answer{background:var(--ok-soft);color:#186b3b;font-weight:600}.preview .expl{border-top:1px dashed var(--line);margin-top:12px;padding-top:10px}.figure img{background:#fff;max-width:100%;max-height:320px}.katex-display{overflow:auto hidden}.choice-row{grid-template-columns:34px minmax(0,1fr) auto;align-items:center;gap:6px;display:grid}.editor-layout{grid-template-columns:minmax(0,1.15fr) minmax(0,1fr);align-items:start;gap:16px;display:grid}.editor-layout .sticky{position:sticky;top:64px}@media (max-width:1100px){.editor-layout{grid-template-columns:minmax(0,1fr)}.editor-layout .sticky{position:static}}pre.json{color:#f3e9e2;background:#1f1a17;border-radius:8px;max-height:420px;margin:6px 0 0;padding:10px 12px;font-size:.78rem;overflow-x:auto}details summary{cursor:pointer;color:var(--brand);font-size:.82rem}.login-page{background:radial-gradient(circle at 20% 10%,#3a2519,#1a120e 70%);place-items:center;min-height:100vh;padding:24px;display:grid}.login-card{background:#fff;border-radius:16px;width:100%;max-width:380px;padding:28px;box-shadow:0 20px 60px #00000059}.login-card h1{font-size:1.3rem}.login-card .sub{color:var(--muted);margin:4px 0 20px;font-size:.88rem}.login-card form{gap:12px;display:grid}.login-card button{width:100%;padding:10px;font-size:.95rem}.login-foot{color:var(--muted);text-align:center;margin-top:16px;font-size:.75rem}.model-table{border:1px solid var(--line);background:#fff;border-radius:10px;overflow:hidden}.model-table+.model-table{margin-top:12px}.model-table>header{border-bottom:1px solid var(--line);background:#faf6f3;flex-wrap:wrap;justify-content:space-between;align-items:center;gap:8px;padding:10px 14px;display:flex}.model-table>header b{font-family:var(--mono);font-size:.95rem}.pk{color:var(--warn);font-weight:700}.fk{color:var(--info)}.rel-list{font-family:var(--mono);gap:4px;font-size:.8rem;display:grid}.console textarea{min-height:150px;font-family:var(--mono);background:#fffdfb;font-size:.85rem}.examples{flex-wrap:wrap;gap:6px;display:flex}.examples button{color:var(--ink-2);border-color:var(--line);background:#fff;font-weight:500}.result-table td{font-family:var(--mono);white-space:pre;text-overflow:ellipsis;max-width:420px;font-size:.78rem;overflow:hidden}.null{color:#b3a79f;font-style:italic}