@import "https://fonts.googleapis.com/css2?family=Manrope:wght@400;500;600;700;800&display=swap";
@font-face{font-display:block;font-family:KaTeX_AMS;font-style:normal;font-weight:400;src:url(../media/KaTeX_AMS-Regular.25ieegmnh38ts.woff2?dpl=dpl_FNrTLnRHdxs89AjE41AZhJbwFptp)format("woff2"),url(../media/KaTeX_AMS-Regular.10y3kupq4t663.woff?dpl=dpl_FNrTLnRHdxs89AjE41AZhJbwFptp)format("woff"),url(../media/KaTeX_AMS-Regular.418dr7cz3fo2x.ttf?dpl=dpl_FNrTLnRHdxs89AjE41AZhJbwFptp)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?dpl=dpl_FNrTLnRHdxs89AjE41AZhJbwFptp)format("woff2"),url(../media/KaTeX_Caligraphic-Bold.2vmk2hva4ctha.woff?dpl=dpl_FNrTLnRHdxs89AjE41AZhJbwFptp)format("woff"),url(../media/KaTeX_Caligraphic-Bold.40ltxhe834pns.ttf?dpl=dpl_FNrTLnRHdxs89AjE41AZhJbwFptp)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?dpl=dpl_FNrTLnRHdxs89AjE41AZhJbwFptp)format("woff2"),url(../media/KaTeX_Caligraphic-Regular.3gxeetazf831f.woff?dpl=dpl_FNrTLnRHdxs89AjE41AZhJbwFptp)format("woff"),url(../media/KaTeX_Caligraphic-Regular.07-7u27-nhn_r.ttf?dpl=dpl_FNrTLnRHdxs89AjE41AZhJbwFptp)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?dpl=dpl_FNrTLnRHdxs89AjE41AZhJbwFptp)format("woff2"),url(../media/KaTeX_Fraktur-Bold.1alcy76__wdj2.woff?dpl=dpl_FNrTLnRHdxs89AjE41AZhJbwFptp)format("woff"),url(../media/KaTeX_Fraktur-Bold.19yqa_tc9d_gx.ttf?dpl=dpl_FNrTLnRHdxs89AjE41AZhJbwFptp)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?dpl=dpl_FNrTLnRHdxs89AjE41AZhJbwFptp)format("woff2"),url(../media/KaTeX_Fraktur-Regular.110oo81prr9n5.woff?dpl=dpl_FNrTLnRHdxs89AjE41AZhJbwFptp)format("woff"),url(../media/KaTeX_Fraktur-Regular.2qhy34r6a05dn.ttf?dpl=dpl_FNrTLnRHdxs89AjE41AZhJbwFptp)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?dpl=dpl_FNrTLnRHdxs89AjE41AZhJbwFptp)format("woff2"),url(../media/KaTeX_Main-Bold.0v1esh257kqpe.woff?dpl=dpl_FNrTLnRHdxs89AjE41AZhJbwFptp)format("woff"),url(../media/KaTeX_Main-Bold.0us_n0tnxlxu7.ttf?dpl=dpl_FNrTLnRHdxs89AjE41AZhJbwFptp)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?dpl=dpl_FNrTLnRHdxs89AjE41AZhJbwFptp)format("woff2"),url(../media/KaTeX_Main-BoldItalic.13355ck5zr48q.woff?dpl=dpl_FNrTLnRHdxs89AjE41AZhJbwFptp)format("woff"),url(../media/KaTeX_Main-BoldItalic.3x_u9cepaced0.ttf?dpl=dpl_FNrTLnRHdxs89AjE41AZhJbwFptp)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?dpl=dpl_FNrTLnRHdxs89AjE41AZhJbwFptp)format("woff2"),url(../media/KaTeX_Main-Italic.0afv392dj4w59.woff?dpl=dpl_FNrTLnRHdxs89AjE41AZhJbwFptp)format("woff"),url(../media/KaTeX_Main-Italic.2hkw3230mfwcv.ttf?dpl=dpl_FNrTLnRHdxs89AjE41AZhJbwFptp)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?dpl=dpl_FNrTLnRHdxs89AjE41AZhJbwFptp)format("woff2"),url(../media/KaTeX_Main-Regular.15u8r3b2y7fv4.woff?dpl=dpl_FNrTLnRHdxs89AjE41AZhJbwFptp)format("woff"),url(../media/KaTeX_Main-Regular.0symfa7dqj6jd.ttf?dpl=dpl_FNrTLnRHdxs89AjE41AZhJbwFptp)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?dpl=dpl_FNrTLnRHdxs89AjE41AZhJbwFptp)format("woff2"),url(../media/KaTeX_Math-BoldItalic.12pl58orkw9rg.woff?dpl=dpl_FNrTLnRHdxs89AjE41AZhJbwFptp)format("woff"),url(../media/KaTeX_Math-BoldItalic.0y5w36a5aq__2.ttf?dpl=dpl_FNrTLnRHdxs89AjE41AZhJbwFptp)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?dpl=dpl_FNrTLnRHdxs89AjE41AZhJbwFptp)format("woff2"),url(../media/KaTeX_Math-Italic.0w0b1ugh62cfr.woff?dpl=dpl_FNrTLnRHdxs89AjE41AZhJbwFptp)format("woff"),url(../media/KaTeX_Math-Italic.2vkekfblmz5nb.ttf?dpl=dpl_FNrTLnRHdxs89AjE41AZhJbwFptp)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?dpl=dpl_FNrTLnRHdxs89AjE41AZhJbwFptp)format("woff2"),url(../media/KaTeX_SansSerif-Bold.1ovw5p-yjp56g.woff?dpl=dpl_FNrTLnRHdxs89AjE41AZhJbwFptp)format("woff"),url(../media/KaTeX_SansSerif-Bold.2d03q85pwxpti.ttf?dpl=dpl_FNrTLnRHdxs89AjE41AZhJbwFptp)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?dpl=dpl_FNrTLnRHdxs89AjE41AZhJbwFptp)format("woff2"),url(../media/KaTeX_SansSerif-Italic.1qavw__2zz8gk.woff?dpl=dpl_FNrTLnRHdxs89AjE41AZhJbwFptp)format("woff"),url(../media/KaTeX_SansSerif-Italic.3i-q087b23-m8.ttf?dpl=dpl_FNrTLnRHdxs89AjE41AZhJbwFptp)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?dpl=dpl_FNrTLnRHdxs89AjE41AZhJbwFptp)format("woff2"),url(../media/KaTeX_SansSerif-Regular.1i4afx8nk8n4r.woff?dpl=dpl_FNrTLnRHdxs89AjE41AZhJbwFptp)format("woff"),url(../media/KaTeX_SansSerif-Regular.31pbu25feko_c.ttf?dpl=dpl_FNrTLnRHdxs89AjE41AZhJbwFptp)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?dpl=dpl_FNrTLnRHdxs89AjE41AZhJbwFptp)format("woff2"),url(../media/KaTeX_Script-Regular.3110jb9c-bxna.woff?dpl=dpl_FNrTLnRHdxs89AjE41AZhJbwFptp)format("woff"),url(../media/KaTeX_Script-Regular.28p_x7iz71ofe.ttf?dpl=dpl_FNrTLnRHdxs89AjE41AZhJbwFptp)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?dpl=dpl_FNrTLnRHdxs89AjE41AZhJbwFptp)format("woff2"),url(../media/KaTeX_Size1-Regular.1slf4bh0hc6vm.woff?dpl=dpl_FNrTLnRHdxs89AjE41AZhJbwFptp)format("woff"),url(../media/KaTeX_Size1-Regular.1y57-ck23ey8c.ttf?dpl=dpl_FNrTLnRHdxs89AjE41AZhJbwFptp)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?dpl=dpl_FNrTLnRHdxs89AjE41AZhJbwFptp)format("woff2"),url(../media/KaTeX_Size2-Regular.0-kwyvx03omo8.woff?dpl=dpl_FNrTLnRHdxs89AjE41AZhJbwFptp)format("woff"),url(../media/KaTeX_Size2-Regular.2u0s-b07k2o9m.ttf?dpl=dpl_FNrTLnRHdxs89AjE41AZhJbwFptp)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?dpl=dpl_FNrTLnRHdxs89AjE41AZhJbwFptp)format("woff2"),url(../media/KaTeX_Size3-Regular.04o9a_02gu_e8.woff?dpl=dpl_FNrTLnRHdxs89AjE41AZhJbwFptp)format("woff"),url(../media/KaTeX_Size3-Regular.1pkn-dge4q0fv.ttf?dpl=dpl_FNrTLnRHdxs89AjE41AZhJbwFptp)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?dpl=dpl_FNrTLnRHdxs89AjE41AZhJbwFptp)format("woff2"),url(../media/KaTeX_Size4-Regular.3p2r1l7xmebxv.woff?dpl=dpl_FNrTLnRHdxs89AjE41AZhJbwFptp)format("woff"),url(../media/KaTeX_Size4-Regular.2uelkfk2yna5e.ttf?dpl=dpl_FNrTLnRHdxs89AjE41AZhJbwFptp)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?dpl=dpl_FNrTLnRHdxs89AjE41AZhJbwFptp)format("woff2"),url(../media/KaTeX_Typewriter-Regular.12f8myjij3617.woff?dpl=dpl_FNrTLnRHdxs89AjE41AZhJbwFptp)format("woff"),url(../media/KaTeX_Typewriter-Regular.3nee9kjfy6nm8.ttf?dpl=dpl_FNrTLnRHdxs89AjE41AZhJbwFptp)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:"0.16.47"}.katex .katex-mathml{clip-path:inset(50%);border:0;width:1px;height:1px;padding:0;position:absolute;overflow:hidden}.katex .katex-html>.newline{display:block}.katex .base{white-space:nowrap;width:min-content;position:relative}.katex .base,.katex .strut{display:inline-block}.katex .textbf{font-weight:700}.katex .textit{font-style:italic}.katex .textrm{font-family:KaTeX_Main}.katex .textsf{font-family:KaTeX_SansSerif}.katex .texttt{font-family:KaTeX_Typewriter}.katex .mathnormal{font-family:KaTeX_Math;font-style:italic}.katex .mathit{font-family:KaTeX_Main;font-style:italic}.katex .mathrm{font-style:normal}.katex .mathbf{font-family:KaTeX_Main;font-weight:700}.katex .boldsymbol{font-family:KaTeX_Math;font-style:italic;font-weight:700}.katex .amsrm,.katex .mathbb,.katex .textbb{font-family:KaTeX_AMS}.katex .mathcal{font-family:KaTeX_Caligraphic}.katex .mathfrak,.katex .textfrak{font-family:KaTeX_Fraktur}.katex .mathboldfrak,.katex .textboldfrak{font-family:KaTeX_Fraktur;font-weight:700}.katex .mathtt{font-family:KaTeX_Typewriter}.katex .mathscr,.katex .textscr{font-family:KaTeX_Script}.katex .mathsf,.katex .textsf{font-family:KaTeX_SansSerif}.katex .mathboldsf,.katex .textboldsf{font-family:KaTeX_SansSerif;font-weight:700}.katex .mathitsf,.katex .mathsfit,.katex .textitsf{font-family:KaTeX_SansSerif;font-style:italic}.katex .mainrm{font-family:KaTeX_Main;font-style:normal}.katex .vlist-t{border-collapse:collapse;table-layout:fixed;display:inline-table}.katex .vlist-r{display:table-row}.katex .vlist{vertical-align:bottom;display:table-cell;position:relative}.katex .vlist>span{height:0;display:block;position:relative}.katex .vlist>span>span{display:inline-block}.katex .vlist>span>.pstrut{width:0;overflow:hidden}.katex .vlist-t2{margin-right:-2px}.katex .vlist-s{vertical-align:bottom;width:2px;min-width:2px;font-size:1px;display:table-cell}.katex .vbox{flex-direction:column;align-items:baseline;display:inline-flex}.katex .hbox{width:100%}.katex .hbox,.katex .thinbox{flex-direction:row;display:inline-flex}.katex .thinbox{width:0;max-width:0}.katex .msupsub{text-align:left}.katex .mfrac>span>span{text-align:center}.katex .mfrac .frac-line{border-bottom-style:solid;width:100%;display:inline-block}.katex .hdashline,.katex .hline,.katex .mfrac .frac-line,.katex .overline .overline-line,.katex .rule,.katex .underline .underline-line{min-height:1px}.katex .mspace{display:inline-block}.katex .smash{line-height:0;display:inline}.katex .clap,.katex .llap,.katex .rlap{width:0;position:relative}.katex .clap>.inner,.katex .llap>.inner,.katex .rlap>.inner{position:absolute}.katex .clap>.fix,.katex .llap>.fix,.katex .rlap>.fix{display:inline-block}.katex .llap>.inner{right:0}.katex .clap>.inner,.katex .rlap>.inner{left:0}.katex .clap>.inner>span{margin-left:-50%;margin-right:50%}.katex .rule{border:0 solid;display:inline-block;position:relative}.katex .hline,.katex .overline .overline-line,.katex .underline .underline-line{border-bottom-style:solid;width:100%;display:inline-block}.katex .hdashline{border-bottom-style:dashed;width:100%;display:inline-block}.katex .sqrt>.root{margin-left:.277778em;margin-right:-.555556em}.katex .fontsize-ensurer.reset-size1.size1,.katex .sizing.reset-size1.size1{font-size:1em}.katex .fontsize-ensurer.reset-size1.size2,.katex .sizing.reset-size1.size2{font-size:1.2em}.katex .fontsize-ensurer.reset-size1.size3,.katex .sizing.reset-size1.size3{font-size:1.4em}.katex .fontsize-ensurer.reset-size1.size4,.katex .sizing.reset-size1.size4{font-size:1.6em}.katex .fontsize-ensurer.reset-size1.size5,.katex .sizing.reset-size1.size5{font-size:1.8em}.katex .fontsize-ensurer.reset-size1.size6,.katex .sizing.reset-size1.size6{font-size:2em}.katex .fontsize-ensurer.reset-size1.size7,.katex .sizing.reset-size1.size7{font-size:2.4em}.katex .fontsize-ensurer.reset-size1.size8,.katex .sizing.reset-size1.size8{font-size:2.88em}.katex .fontsize-ensurer.reset-size1.size9,.katex .sizing.reset-size1.size9{font-size:3.456em}.katex .fontsize-ensurer.reset-size1.size10,.katex .sizing.reset-size1.size10{font-size:4.148em}.katex .fontsize-ensurer.reset-size1.size11,.katex .sizing.reset-size1.size11{font-size:4.976em}.katex .fontsize-ensurer.reset-size2.size1,.katex .sizing.reset-size2.size1{font-size:.833333em}.katex .fontsize-ensurer.reset-size2.size2,.katex .sizing.reset-size2.size2{font-size:1em}.katex .fontsize-ensurer.reset-size2.size3,.katex .sizing.reset-size2.size3{font-size:1.16667em}.katex .fontsize-ensurer.reset-size2.size4,.katex .sizing.reset-size2.size4{font-size:1.33333em}.katex .fontsize-ensurer.reset-size2.size5,.katex .sizing.reset-size2.size5{font-size:1.5em}.katex .fontsize-ensurer.reset-size2.size6,.katex .sizing.reset-size2.size6{font-size:1.66667em}.katex .fontsize-ensurer.reset-size2.size7,.katex .sizing.reset-size2.size7{font-size:2em}.katex .fontsize-ensurer.reset-size2.size8,.katex .sizing.reset-size2.size8{font-size:2.4em}.katex .fontsize-ensurer.reset-size2.size9,.katex .sizing.reset-size2.size9{font-size:2.88em}.katex .fontsize-ensurer.reset-size2.size10,.katex .sizing.reset-size2.size10{font-size:3.45667em}.katex .fontsize-ensurer.reset-size2.size11,.katex .sizing.reset-size2.size11{font-size:4.14667em}.katex .fontsize-ensurer.reset-size3.size1,.katex .sizing.reset-size3.size1{font-size:.714286em}.katex .fontsize-ensurer.reset-size3.size2,.katex .sizing.reset-size3.size2{font-size:.857143em}.katex .fontsize-ensurer.reset-size3.size3,.katex .sizing.reset-size3.size3{font-size:1em}.katex .fontsize-ensurer.reset-size3.size4,.katex .sizing.reset-size3.size4{font-size:1.14286em}.katex .fontsize-ensurer.reset-size3.size5,.katex .sizing.reset-size3.size5{font-size:1.28571em}.katex .fontsize-ensurer.reset-size3.size6,.katex .sizing.reset-size3.size6{font-size:1.42857em}.katex .fontsize-ensurer.reset-size3.size7,.katex .sizing.reset-size3.size7{font-size:1.71429em}.katex .fontsize-ensurer.reset-size3.size8,.katex .sizing.reset-size3.size8{font-size:2.05714em}.katex .fontsize-ensurer.reset-size3.size9,.katex .sizing.reset-size3.size9{font-size:2.46857em}.katex .fontsize-ensurer.reset-size3.size10,.katex .sizing.reset-size3.size10{font-size:2.96286em}.katex .fontsize-ensurer.reset-size3.size11,.katex .sizing.reset-size3.size11{font-size:3.55429em}.katex .fontsize-ensurer.reset-size4.size1,.katex .sizing.reset-size4.size1{font-size:.625em}.katex .fontsize-ensurer.reset-size4.size2,.katex .sizing.reset-size4.size2{font-size:.75em}.katex .fontsize-ensurer.reset-size4.size3,.katex .sizing.reset-size4.size3{font-size:.875em}.katex .fontsize-ensurer.reset-size4.size4,.katex .sizing.reset-size4.size4{font-size:1em}.katex .fontsize-ensurer.reset-size4.size5,.katex .sizing.reset-size4.size5{font-size:1.125em}.katex .fontsize-ensurer.reset-size4.size6,.katex .sizing.reset-size4.size6{font-size:1.25em}.katex .fontsize-ensurer.reset-size4.size7,.katex .sizing.reset-size4.size7{font-size:1.5em}.katex .fontsize-ensurer.reset-size4.size8,.katex .sizing.reset-size4.size8{font-size:1.8em}.katex .fontsize-ensurer.reset-size4.size9,.katex .sizing.reset-size4.size9{font-size:2.16em}.katex .fontsize-ensurer.reset-size4.size10,.katex .sizing.reset-size4.size10{font-size:2.5925em}.katex .fontsize-ensurer.reset-size4.size11,.katex .sizing.reset-size4.size11{font-size:3.11em}.katex .fontsize-ensurer.reset-size5.size1,.katex .sizing.reset-size5.size1{font-size:.555556em}.katex .fontsize-ensurer.reset-size5.size2,.katex .sizing.reset-size5.size2{font-size:.666667em}.katex .fontsize-ensurer.reset-size5.size3,.katex .sizing.reset-size5.size3{font-size:.777778em}.katex .fontsize-ensurer.reset-size5.size4,.katex .sizing.reset-size5.size4{font-size:.888889em}.katex .fontsize-ensurer.reset-size5.size5,.katex .sizing.reset-size5.size5{font-size:1em}.katex .fontsize-ensurer.reset-size5.size6,.katex .sizing.reset-size5.size6{font-size:1.11111em}.katex .fontsize-ensurer.reset-size5.size7,.katex .sizing.reset-size5.size7{font-size:1.33333em}.katex .fontsize-ensurer.reset-size5.size8,.katex .sizing.reset-size5.size8{font-size:1.6em}.katex .fontsize-ensurer.reset-size5.size9,.katex .sizing.reset-size5.size9{font-size:1.92em}.katex .fontsize-ensurer.reset-size5.size10,.katex .sizing.reset-size5.size10{font-size:2.30444em}.katex .fontsize-ensurer.reset-size5.size11,.katex .sizing.reset-size5.size11{font-size:2.76444em}.katex .fontsize-ensurer.reset-size6.size1,.katex .sizing.reset-size6.size1{font-size:.5em}.katex .fontsize-ensurer.reset-size6.size2,.katex .sizing.reset-size6.size2{font-size:.6em}.katex .fontsize-ensurer.reset-size6.size3,.katex .sizing.reset-size6.size3{font-size:.7em}.katex .fontsize-ensurer.reset-size6.size4,.katex .sizing.reset-size6.size4{font-size:.8em}.katex .fontsize-ensurer.reset-size6.size5,.katex .sizing.reset-size6.size5{font-size:.9em}.katex .fontsize-ensurer.reset-size6.size6,.katex .sizing.reset-size6.size6{font-size:1em}.katex .fontsize-ensurer.reset-size6.size7,.katex .sizing.reset-size6.size7{font-size:1.2em}.katex .fontsize-ensurer.reset-size6.size8,.katex .sizing.reset-size6.size8{font-size:1.44em}.katex .fontsize-ensurer.reset-size6.size9,.katex .sizing.reset-size6.size9{font-size:1.728em}.katex .fontsize-ensurer.reset-size6.size10,.katex .sizing.reset-size6.size10{font-size:2.074em}.katex .fontsize-ensurer.reset-size6.size11,.katex .sizing.reset-size6.size11{font-size:2.488em}.katex .fontsize-ensurer.reset-size7.size1,.katex .sizing.reset-size7.size1{font-size:.416667em}.katex .fontsize-ensurer.reset-size7.size2,.katex .sizing.reset-size7.size2{font-size:.5em}.katex .fontsize-ensurer.reset-size7.size3,.katex .sizing.reset-size7.size3{font-size:.583333em}.katex .fontsize-ensurer.reset-size7.size4,.katex .sizing.reset-size7.size4{font-size:.666667em}.katex .fontsize-ensurer.reset-size7.size5,.katex .sizing.reset-size7.size5{font-size:.75em}.katex .fontsize-ensurer.reset-size7.size6,.katex .sizing.reset-size7.size6{font-size:.833333em}.katex .fontsize-ensurer.reset-size7.size7,.katex .sizing.reset-size7.size7{font-size:1em}.katex .fontsize-ensurer.reset-size7.size8,.katex .sizing.reset-size7.size8{font-size:1.2em}.katex .fontsize-ensurer.reset-size7.size9,.katex .sizing.reset-size7.size9{font-size:1.44em}.katex .fontsize-ensurer.reset-size7.size10,.katex .sizing.reset-size7.size10{font-size:1.72833em}.katex .fontsize-ensurer.reset-size7.size11,.katex .sizing.reset-size7.size11{font-size:2.07333em}.katex .fontsize-ensurer.reset-size8.size1,.katex .sizing.reset-size8.size1{font-size:.347222em}.katex .fontsize-ensurer.reset-size8.size2,.katex .sizing.reset-size8.size2{font-size:.416667em}.katex .fontsize-ensurer.reset-size8.size3,.katex .sizing.reset-size8.size3{font-size:.486111em}.katex .fontsize-ensurer.reset-size8.size4,.katex .sizing.reset-size8.size4{font-size:.555556em}.katex .fontsize-ensurer.reset-size8.size5,.katex .sizing.reset-size8.size5{font-size:.625em}.katex .fontsize-ensurer.reset-size8.size6,.katex .sizing.reset-size8.size6{font-size:.694444em}.katex .fontsize-ensurer.reset-size8.size7,.katex .sizing.reset-size8.size7{font-size:.833333em}.katex .fontsize-ensurer.reset-size8.size8,.katex .sizing.reset-size8.size8{font-size:1em}.katex .fontsize-ensurer.reset-size8.size9,.katex .sizing.reset-size8.size9{font-size:1.2em}.katex .fontsize-ensurer.reset-size8.size10,.katex .sizing.reset-size8.size10{font-size:1.44028em}.katex .fontsize-ensurer.reset-size8.size11,.katex .sizing.reset-size8.size11{font-size:1.72778em}.katex .fontsize-ensurer.reset-size9.size1,.katex .sizing.reset-size9.size1{font-size:.289352em}.katex .fontsize-ensurer.reset-size9.size2,.katex .sizing.reset-size9.size2{font-size:.347222em}.katex .fontsize-ensurer.reset-size9.size3,.katex .sizing.reset-size9.size3{font-size:.405093em}.katex .fontsize-ensurer.reset-size9.size4,.katex .sizing.reset-size9.size4{font-size:.462963em}.katex .fontsize-ensurer.reset-size9.size5,.katex .sizing.reset-size9.size5{font-size:.520833em}.katex .fontsize-ensurer.reset-size9.size6,.katex .sizing.reset-size9.size6{font-size:.578704em}.katex .fontsize-ensurer.reset-size9.size7,.katex .sizing.reset-size9.size7{font-size:.694444em}.katex .fontsize-ensurer.reset-size9.size8,.katex .sizing.reset-size9.size8{font-size:.833333em}.katex .fontsize-ensurer.reset-size9.size9,.katex .sizing.reset-size9.size9{font-size:1em}.katex .fontsize-ensurer.reset-size9.size10,.katex .sizing.reset-size9.size10{font-size:1.20023em}.katex .fontsize-ensurer.reset-size9.size11,.katex .sizing.reset-size9.size11{font-size:1.43981em}.katex .fontsize-ensurer.reset-size10.size1,.katex .sizing.reset-size10.size1{font-size:.24108em}.katex .fontsize-ensurer.reset-size10.size2,.katex .sizing.reset-size10.size2{font-size:.289296em}.katex .fontsize-ensurer.reset-size10.size3,.katex .sizing.reset-size10.size3{font-size:.337512em}.katex .fontsize-ensurer.reset-size10.size4,.katex .sizing.reset-size10.size4{font-size:.385728em}.katex .fontsize-ensurer.reset-size10.size5,.katex .sizing.reset-size10.size5{font-size:.433944em}.katex .fontsize-ensurer.reset-size10.size6,.katex .sizing.reset-size10.size6{font-size:.48216em}.katex .fontsize-ensurer.reset-size10.size7,.katex .sizing.reset-size10.size7{font-size:.578592em}.katex .fontsize-ensurer.reset-size10.size8,.katex .sizing.reset-size10.size8{font-size:.694311em}.katex .fontsize-ensurer.reset-size10.size9,.katex .sizing.reset-size10.size9{font-size:.833173em}.katex .fontsize-ensurer.reset-size10.size10,.katex .sizing.reset-size10.size10{font-size:1em}.katex .fontsize-ensurer.reset-size10.size11,.katex .sizing.reset-size10.size11{font-size:1.19961em}.katex .fontsize-ensurer.reset-size11.size1,.katex .sizing.reset-size11.size1{font-size:.200965em}.katex .fontsize-ensurer.reset-size11.size2,.katex .sizing.reset-size11.size2{font-size:.241158em}.katex .fontsize-ensurer.reset-size11.size3,.katex .sizing.reset-size11.size3{font-size:.281351em}.katex .fontsize-ensurer.reset-size11.size4,.katex .sizing.reset-size11.size4{font-size:.321543em}.katex .fontsize-ensurer.reset-size11.size5,.katex .sizing.reset-size11.size5{font-size:.361736em}.katex .fontsize-ensurer.reset-size11.size6,.katex .sizing.reset-size11.size6{font-size:.401929em}.katex .fontsize-ensurer.reset-size11.size7,.katex .sizing.reset-size11.size7{font-size:.482315em}.katex .fontsize-ensurer.reset-size11.size8,.katex .sizing.reset-size11.size8{font-size:.578778em}.katex .fontsize-ensurer.reset-size11.size9,.katex .sizing.reset-size11.size9{font-size:.694534em}.katex .fontsize-ensurer.reset-size11.size10,.katex .sizing.reset-size11.size10{font-size:.833601em}.katex .fontsize-ensurer.reset-size11.size11,.katex .sizing.reset-size11.size11{font-size:1em}.katex .delimsizing.size1{font-family:KaTeX_Size1}.katex .delimsizing.size2{font-family:KaTeX_Size2}.katex .delimsizing.size3{font-family:KaTeX_Size3}.katex .delimsizing.size4{font-family:KaTeX_Size4}.katex .delimsizing.mult .delim-size1>span{font-family:KaTeX_Size1}.katex .delimsizing.mult .delim-size4>span{font-family:KaTeX_Size4}.katex .nulldelimiter{width:.12em;display:inline-block}.katex .delimcenter,.katex .op-symbol{position:relative}.katex .op-symbol.small-op{font-family:KaTeX_Size1}.katex .op-symbol.large-op{font-family:KaTeX_Size2}.katex .accent>.vlist-t,.katex .op-limits>.vlist-t{text-align:center}.katex .accent .accent-body{position:relative}.katex .accent .accent-body:not(.accent-full){width:0}.katex .overlay{display:block}.katex .mtable .vertical-separator{min-width:1px;display:inline-block}.katex .mtable .arraycolsep{display:inline-block}.katex .mtable .col-align-c>.vlist-t{text-align:center}.katex .mtable .col-align-l>.vlist-t{text-align:left}.katex .mtable .col-align-r>.vlist-t{text-align:right}.katex .svg-align{text-align:left}.katex svg{fill:currentColor;stroke:currentColor;height:inherit;width:100%;display:block;position:absolute}.katex svg path{stroke:none}.katex svg{fill-rule:nonzero;fill-opacity:1;stroke-width:1px;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:4;stroke-dasharray:none;stroke-dashoffset:0;stroke-opacity:1}.katex img{border-style:none;min-width:0;max-width:none;min-height:0;max-height:none}.katex .stretchy{width:100%;display:block;position:relative;overflow:hidden}.katex .stretchy:after,.katex .stretchy:before{content:""}.katex .hide-tail{width:100%;position:relative;overflow:hidden}.katex .halfarrow-left{width:50.2%;position:absolute;left:0;overflow:hidden}.katex .halfarrow-right{width:50.2%;position:absolute;right:0;overflow:hidden}.katex .brace-left{width:25.1%;position:absolute;left:0;overflow:hidden}.katex .brace-center{width:50%;position:absolute;left:25%;overflow:hidden}.katex .brace-right{width:25.1%;position:absolute;right:0;overflow:hidden}.katex .x-arrow-pad{padding:0 .5em}.katex .cd-arrow-pad{padding:0 .55556em 0 .27778em}.katex .mover,.katex .munder,.katex .x-arrow{text-align:center}.katex .boxpad{padding:0 .3em}.katex .fbox,.katex .fcolorbox{box-sizing:border-box;border:.04em solid}.katex .cancel-pad{padding:0 .2em}.katex .cancel-lap{margin-left:-.2em;margin-right:-.2em}.katex .sout{border-bottom-style:solid;border-bottom-width:.08em}.katex .angl{box-sizing:border-box;border-top:.049em solid;border-right:.049em solid;margin-right:.03889em}.katex .anglpad{padding:0 .03889em}.katex .eqn-num:before{content:"(" counter(katexEqnNo) ")";counter-increment:katexEqnNo}.katex .mml-eqn-num:before{content:"(" counter(mmlEqnNo) ")";counter-increment:mmlEqnNo}.katex .mtr-glue{width:50%}.katex .cd-vert-arrow{display:inline-block;position:relative}.katex .cd-label-left{text-align:left;display:inline-block;position:absolute;right:calc(50% + .3em)}.katex .cd-label-right{text-align:right;display:inline-block;position:absolute;left:calc(50% + .3em)}.katex-display{text-align:center;margin:1em 0;display:block}.katex-display>.katex{text-align:center;white-space:nowrap;display:block}.katex-display>.katex>.katex-html{display:block;position:relative}.katex-display>.katex>.katex-html>.tag{position:absolute;right:0}.katex-display.leqno>.katex>.katex-html>.tag{left:0;right:auto}.katex-display.fleqn>.katex{text-align:left;padding-left:2em}body{counter-reset:katexEqnNo mmlEqnNo}
:root{--font-body:"Manrope", ui-sans-serif, system-ui, -apple-system, sans-serif;--gp-brand-blue:#0069d9;--gp-brand-blue-hover:#0058b8;--gp-brand-mint:#6fd0a4;--gp-brand-dark:#0b0f14;--gp-aurora:linear-gradient(135deg, #62c98c 0%, #0059c9 100%);--gp-aurora-hover:linear-gradient(135deg, #57bd82 0%, #004fb4 100%);--gp-brand-tint:#0069d914;--gp-brand-tint-strong:#0069d924}.gp-rt>:last-child{margin-bottom:0}.gp-rt .katex-display{margin:.4em 0}.gp-question-cell .katex{font-size:1em}html{font-size:14.5px}body{font-family:var(--font-body)}h1,h2,h3,h4{letter-spacing:-.02em}.btn--style-primary{background:var(--gp-aurora);color:#fff;border-color:#0000;transition:transform .18s,box-shadow .18s,filter .18s;box-shadow:0 8px 26px -14px #0059c9b3}.btn--style-primary .btn__content{color:#fff}.btn--style-primary:hover,.btn--style-primary:focus{background:var(--gp-aurora-hover);color:#fff;border-color:#0000;transform:translateY(-1px);box-shadow:0 12px 34px -14px #0059c9cc}.btn--style-primary,.btn--style-secondary{border-radius:999px}.btn--style-secondary{border-color:var(--theme-elevation-200)}.btn--style-secondary:hover,.btn--style-secondary:focus{border-color:var(--gp-brand-blue);color:var(--gp-brand-blue)}a{color:var(--gp-brand-blue)}input:not([type=checkbox]):not([type=radio]):focus,textarea:focus,select:focus,.rs__control--is-focused{border-color:var(--gp-brand-blue)!important;box-shadow:0 0 0 2px var(--gp-brand-tint-strong)!important}.gp-nav-heading{margin-top:1.1rem;padding-inline:.6em}.nav-group__toggle{text-transform:uppercase;letter-spacing:.09em;color:var(--theme-elevation-400);font-size:.72rem;font-weight:700}.nav__link{color:var(--theme-elevation-700);border-radius:9px;align-items:center;gap:.6em;margin-block:1px;padding:.42em .6em;font-size:.98rem;font-weight:500;line-height:1.35;text-decoration:none;transition:background .14s,color .14s;display:flex}.nav__link:hover{color:var(--gp-brand-blue);background:var(--gp-brand-tint);text-decoration:none}.nav__link:has(.nav__link-indicator){color:var(--gp-brand-blue);background:var(--gp-brand-tint-strong);padding-left:.6em;font-weight:700}.nav__link-indicator{display:none}.nav__link-label{text-overflow:ellipsis;white-space:nowrap;overflow:hidden}#nav-users:before,#nav-questions:before,#nav-placements:before,#nav-attempts:before,#nav-verification-results:before,#nav-pipeline-runs:before,#nav-source-materials:before,#nav-question-assets:before,#nav-coverage-targets:before,#nav-mocks:before,#nav-writing-prompts:before,#nav-marking-prompts:before,#nav-note-lessons:before,#nav-question-flags:before,#nav-study-sessions:before,#nav-saved-questions:before,#nav-mistake-dismissals:before,#nav-essay-markings:before,#nav-note-progress:before,#nav-user-settings:before,#nav-subscriptions:before,#nav-bursary-applications:before,#nav-bursary-evidence:before,#nav-next-action-events:before,#nav-contact-messages:before{content:"";opacity:.6;width:1.18em;height:1.18em;-webkit-mask:var(--nav-ico) center/contain no-repeat;-webkit-mask:var(--nav-ico) center/contain no-repeat;mask:var(--nav-ico) center/contain no-repeat;background-color:currentColor;flex-shrink:0;transition:opacity .14s}.gp-nav-ico{opacity:.6;flex-shrink:0;width:1.18em;height:1.18em;transition:opacity .14s}.nav__link:hover:before,.nav__link:hover .gp-nav-ico{opacity:1}.nav__link:has(.nav__link-indicator):before{opacity:1}.nav__link:has(.nav__link-indicator) .gp-nav-ico{opacity:1}#nav-users{--nav-ico:url("data:image/svg+xml,<svg xmlns='http://www.w3.org/2000/svg' viewBox='0 0 24 24' fill='none' stroke='black' stroke-width='2' stroke-linecap='round' stroke-linejoin='round'><circle cx='9' cy='7' r='4'/><path d='M3 21v-2a6 6 0 0 1 6-6 6 6 0 0 1 6 6v2'/><path d='M16 3.5a4 4 0 0 1 0 7.5'/><path d='M21 21v-2a6 6 0 0 0-4-5.7'/></svg>")}#nav-questions{--nav-ico:url("data:image/svg+xml,<svg xmlns='http://www.w3.org/2000/svg' viewBox='0 0 24 24' fill='none' stroke='black' stroke-width='2' stroke-linecap='round' stroke-linejoin='round'><circle cx='12' cy='12' r='10'/><path d='M9.1 9a3 3 0 0 1 5.8 1c0 2-3 3-3 3'/><path d='M12 17h.01'/></svg>")}#nav-placements{--nav-ico:url("data:image/svg+xml,<svg xmlns='http://www.w3.org/2000/svg' viewBox='0 0 24 24' fill='none' stroke='black' stroke-width='2' stroke-linecap='round' stroke-linejoin='round'><path d='M12 2 2 7l10 5 10-5-10-5Z'/><path d='m2 12 10 5 10-5'/><path d='m2 17 10 5 10-5'/></svg>")}#nav-attempts{--nav-ico:url("data:image/svg+xml,<svg xmlns='http://www.w3.org/2000/svg' viewBox='0 0 24 24' fill='none' stroke='black' stroke-width='2' stroke-linecap='round' stroke-linejoin='round'><rect x='6' y='4' width='12' height='17' rx='2'/><path d='M9 4V3a1 1 0 0 1 1-1h4a1 1 0 0 1 1 1v1'/><path d='M9 10h6'/><path d='M9 14h4'/></svg>")}#nav-verification-results{--nav-ico:url("data:image/svg+xml,<svg xmlns='http://www.w3.org/2000/svg' viewBox='0 0 24 24' fill='none' stroke='black' stroke-width='2' stroke-linecap='round' stroke-linejoin='round'><path d='M12 2 4 5v6c0 5 3.5 8 8 9 4.5-1 8-4 8-9V5l-8-3Z'/><path d='m9 12 2 2 4-4'/></svg>")}#nav-pipeline-runs{--nav-ico:url("data:image/svg+xml,<svg xmlns='http://www.w3.org/2000/svg' viewBox='0 0 24 24' fill='none' stroke='black' stroke-width='2' stroke-linecap='round' stroke-linejoin='round'><path d='M3 12h4l3 8 4-16 3 8h4'/></svg>")}#nav-source-materials{--nav-ico:url("data:image/svg+xml,<svg xmlns='http://www.w3.org/2000/svg' viewBox='0 0 24 24' fill='none' stroke='black' stroke-width='2' stroke-linecap='round' stroke-linejoin='round'><path d='M14 3H7a2 2 0 0 0-2 2v14a2 2 0 0 0 2 2h10a2 2 0 0 0 2-2V8Z'/><path d='M14 3v5h5'/><path d='M9 13h6'/><path d='M9 17h6'/></svg>")}#nav-question-assets{--nav-ico:url("data:image/svg+xml,<svg xmlns='http://www.w3.org/2000/svg' viewBox='0 0 24 24' fill='none' stroke='black' stroke-width='2' stroke-linecap='round' stroke-linejoin='round'><rect x='3' y='3' width='18' height='18' rx='2'/><circle cx='8.5' cy='8.5' r='1.5'/><path d='m21 15-5-5L5 21'/></svg>")}#nav-coverage-targets{--nav-ico:url("data:image/svg+xml,<svg xmlns='http://www.w3.org/2000/svg' viewBox='0 0 24 24' fill='none' stroke='black' stroke-width='2' stroke-linecap='round' stroke-linejoin='round'><circle cx='12' cy='12' r='9'/><circle cx='12' cy='12' r='5'/><circle cx='12' cy='12' r='1.5'/></svg>")}#nav-mocks{--nav-ico:url("data:image/svg+xml,<svg xmlns='http://www.w3.org/2000/svg' viewBox='0 0 24 24' fill='none' stroke='black' stroke-width='2' stroke-linecap='round' stroke-linejoin='round'><circle cx='12' cy='14' r='8'/><path d='M12 14V10.5'/><path d='M9.5 2h5'/><path d='m18.5 6.5 1.5-1.5'/></svg>")}#nav-writing-prompts{--nav-ico:url("data:image/svg+xml,<svg xmlns='http://www.w3.org/2000/svg' viewBox='0 0 24 24' fill='none' stroke='black' stroke-width='2' stroke-linecap='round' stroke-linejoin='round'><path d='M12 20h9'/><path d='M16.5 3.5a2.1 2.1 0 0 1 3 3L7 19l-4 1 1-4Z'/></svg>")}#nav-marking-prompts{--nav-ico:url("data:image/svg+xml,<svg xmlns='http://www.w3.org/2000/svg' viewBox='0 0 24 24' fill='none' stroke='black' stroke-width='2' stroke-linecap='round' stroke-linejoin='round'><path d='m3 17 2 2 4-4'/><path d='m3 7 2 2 4-4'/><path d='M13 6h8'/><path d='M13 12h8'/><path d='M13 18h8'/></svg>")}#nav-note-lessons{--nav-ico:url("data:image/svg+xml,<svg xmlns='http://www.w3.org/2000/svg' viewBox='0 0 24 24' fill='none' stroke='black' stroke-width='2' stroke-linecap='round' stroke-linejoin='round'><path d='M2 4h6a3 3 0 0 1 3 3v13a2.5 2.5 0 0 0-2.5-2H2Z'/><path d='M22 4h-6a3 3 0 0 0-3 3v13a2.5 2.5 0 0 1 2.5-2H22Z'/></svg>")}#nav-question-flags{--nav-ico:url("data:image/svg+xml,<svg xmlns='http://www.w3.org/2000/svg' viewBox='0 0 24 24' fill='none' stroke='black' stroke-width='2' stroke-linecap='round' stroke-linejoin='round'><path d='M4 21V4a6 6 0 0 1 8 0 6 6 0 0 0 8 0v9a6 6 0 0 1-8 0 6 6 0 0 0-8 0'/></svg>")}#nav-study-sessions{--nav-ico:url("data:image/svg+xml,<svg xmlns='http://www.w3.org/2000/svg' viewBox='0 0 24 24' fill='none' stroke='black' stroke-width='2' stroke-linecap='round' stroke-linejoin='round'><circle cx='12' cy='12' r='9'/><path d='M12 7v5l3.5 2'/></svg>")}#nav-saved-questions{--nav-ico:url("data:image/svg+xml,<svg xmlns='http://www.w3.org/2000/svg' viewBox='0 0 24 24' fill='none' stroke='black' stroke-width='2' stroke-linecap='round' stroke-linejoin='round'><path d='M6 3h12a1 1 0 0 1 1 1v17l-7-4.5L5 21V4a1 1 0 0 1 1-1Z'/></svg>")}#nav-mistake-dismissals{--nav-ico:url("data:image/svg+xml,<svg xmlns='http://www.w3.org/2000/svg' viewBox='0 0 24 24' fill='none' stroke='black' stroke-width='2' stroke-linecap='round' stroke-linejoin='round'><circle cx='12' cy='12' r='10'/><path d='m15 9-6 6'/><path d='m9 9 6 6'/></svg>")}#nav-essay-markings{--nav-ico:url("data:image/svg+xml,<svg xmlns='http://www.w3.org/2000/svg' viewBox='0 0 24 24' fill='none' stroke='black' stroke-width='2' stroke-linecap='round' stroke-linejoin='round'><path d='M14 3H7a2 2 0 0 0-2 2v14a2 2 0 0 0 2 2h10a2 2 0 0 0 2-2V8Z'/><path d='M14 3v5h5'/><path d='m9 15 2 2 4-4'/></svg>")}#nav-note-progress{--nav-ico:url("data:image/svg+xml,<svg xmlns='http://www.w3.org/2000/svg' viewBox='0 0 24 24' fill='none' stroke='black' stroke-width='2' stroke-linecap='round' stroke-linejoin='round'><polyline points='22 7 13.5 15.5 8.5 10.5 2 17'/><polyline points='16 7 22 7 22 13'/></svg>")}#nav-user-settings{--nav-ico:url("data:image/svg+xml,<svg xmlns='http://www.w3.org/2000/svg' viewBox='0 0 24 24' fill='none' stroke='black' stroke-width='2' stroke-linecap='round' stroke-linejoin='round'><path d='M3 7h11'/><path d='M18 7h3'/><circle cx='16' cy='7' r='2'/><path d='M3 17h5'/><path d='M12 17h9'/><circle cx='10' cy='17' r='2'/></svg>")}#nav-subscriptions{--nav-ico:url("data:image/svg+xml,<svg xmlns='http://www.w3.org/2000/svg' viewBox='0 0 24 24' fill='none' stroke='black' stroke-width='2' stroke-linecap='round' stroke-linejoin='round'><rect x='2' y='5' width='20' height='14' rx='2'/><path d='M2 10h20'/><path d='M6 15h4'/></svg>")}#nav-bursary-applications{--nav-ico:url("data:image/svg+xml,<svg xmlns='http://www.w3.org/2000/svg' viewBox='0 0 24 24' fill='none' stroke='black' stroke-width='2' stroke-linecap='round' stroke-linejoin='round'><path d='M14 3H7a2 2 0 0 0-2 2v14a2 2 0 0 0 2 2h10a2 2 0 0 0 2-2V8Z'/><path d='M14 3v5h5'/><path d='M12 18c-2-1.4-3-2.5-3-3.8A1.7 1.7 0 0 1 12 13a1.7 1.7 0 0 1 3 1.2c0 1.3-1 2.4-3 3.8Z'/></svg>")}#nav-bursary-evidence{--nav-ico:url("data:image/svg+xml,<svg xmlns='http://www.w3.org/2000/svg' viewBox='0 0 24 24' fill='none' stroke='black' stroke-width='2' stroke-linecap='round' stroke-linejoin='round'><path d='M21 11.5 12.5 20a5 5 0 0 1-7-7l8-8a3.5 3.5 0 0 1 5 5l-8 8a2 2 0 0 1-3-3l7.5-7.5'/></svg>")}#nav-next-action-events{--nav-ico:url("data:image/svg+xml,<svg xmlns='http://www.w3.org/2000/svg' viewBox='0 0 24 24' fill='none' stroke='black' stroke-width='2' stroke-linecap='round' stroke-linejoin='round'><circle cx='6' cy='19' r='3'/><path d='M9 19h8.5a3.5 3.5 0 0 0 0-7h-11a3.5 3.5 0 0 1 0-7H15'/><circle cx='18' cy='5' r='3'/></svg>")}#nav-contact-messages{--nav-ico:url("data:image/svg+xml,<svg xmlns='http://www.w3.org/2000/svg' viewBox='0 0 24 24' fill='none' stroke='black' stroke-width='2' stroke-linecap='round' stroke-linejoin='round'><rect x='2' y='4' width='20' height='16' rx='2'/><path d='m22 7-10 6L2 7'/></svg>")}.collection-edit--placements .id-label,.collection-edit--questions .id-label{display:none}.nav__header{border-bottom:2px solid var(--gp-brand-mint)}.template-minimal,.login{background:radial-gradient(1200px 820px at 100% -12%,#6fd0a438,#0000 60%),radial-gradient(920px 720px at 0 8%,#0069d92e,#0000 65%)}.login .graphic-logo,.login__brand{margin-bottom:1.75rem}.login__wrap{border-radius:16px}.document-fields:has(.gp-preview-field){display:block}.document-fields:has(.gp-preview-field) .document-fields__main{width:100%}.document-fields:has(.gp-preview-field) .document-fields__edit{border-right:0!important}.document-fields:has(.gp-preview-field) .document-fields__sidebar-wrap{border-left:0;width:100%;min-width:0;height:auto;position:static}.bh{--bh-hairline:var(--theme-elevation-150,#e6ebf1);--bh-divider:var(--theme-elevation-100,#eef2f7);--bh-surface:var(--theme-elevation-0,#fff);--bh-muted-surface:var(--theme-elevation-50,#f7f9fb);--bh-track:var(--theme-elevation-50,#f3f6fa);--bh-ink:var(--theme-text,#111);--bh-ink-muted:var(--theme-elevation-600,#666a73);--bh-caption:var(--theme-elevation-500,#8a8f99);--bh-caption-light:var(--theme-elevation-400,#9aa1ac);--bh-accent-soft:#f0f5fb;--bh-chip-border:#dce7f5;--bh-deep-blue:#0059c9;--bh-card-shadow:0 24px 60px -50px #0b0f1459;background:var(--theme-bg,#fff);font-family:var(--font-body);color:var(--bh-ink);position:relative;overflow:hidden}@media (prefers-reduced-motion:reduce){.bh-tile{transition:none}}.bh__header{z-index:20;-webkit-backdrop-filter:blur(14px);backdrop-filter:blur(14px);background:color-mix(in srgb, var(--theme-bg,#fff) 86%, transparent);border-bottom:1px solid var(--bh-hairline);position:sticky;top:0}.bh__shell{flex-wrap:wrap;align-items:center;gap:16px;max-width:1240px;margin:0 auto;padding:11px 28px;display:flex}.bh__mark{flex:none;width:26px;height:26px}.bh__title{letter-spacing:-.02em;margin:0;font-size:19px;font-weight:800;line-height:1}.bh__chip{background:var(--bh-accent-soft);border:1px solid var(--bh-chip-border);border-radius:999px;align-items:center;gap:7px;padding:4px 11px;display:flex}.bh__chip span:first-child{background:#6fd0a4;border-radius:999px;width:6px;height:6px}.bh__chip span:last-child{color:var(--bh-deep-blue);font-variant-numeric:tabular-nums;font-size:12px;font-weight:600}.bh__spacer{flex:1}.bh__presets{background:var(--bh-muted-surface);border:1px solid var(--bh-hairline);border-radius:999px;gap:4px;padding:3px;display:flex}.bh__preset{cursor:pointer;color:var(--bh-ink-muted);background:0 0;border:none;border-radius:999px;padding:5px 12px;font-family:inherit;font-size:12px;font-weight:700;transition:all .18s cubic-bezier(.4,0,.2,1)}.bh__preset:hover{background:var(--bh-surface);color:var(--bh-ink)}.bh__preset--active,.bh__preset--active:hover{background:var(--gp-aurora);color:#fff;box-shadow:0 5px 14px -6px #0069d9b3}.bh__cal{position:relative}.bh__caltrigger{color:var(--bh-ink);background:var(--bh-surface);border:1px solid var(--bh-hairline);cursor:pointer;border-radius:999px;align-items:center;gap:7px;padding:6px 12px;font-family:inherit;font-size:12px;font-weight:600;transition:border-color .18s cubic-bezier(.4,0,.2,1);display:flex}.bh__caltrigger svg{color:var(--bh-caption)}.bh__caltrigger:hover{border-color:var(--bh-chip-border)}.bh__caltrigger--open{border-color:var(--bh-deep-blue);box-shadow:0 0 0 3px var(--bh-accent-soft)}.bh__caldash{color:var(--theme-elevation-400,#a8aeb8)}.bh__calpop{z-index:40;background:var(--bh-surface);border:1px solid var(--bh-hairline);border-radius:14px;width:268px;padding:12px;position:absolute;top:calc(100% + 8px);right:0;box-shadow:0 18px 44px -22px #0b0f1473}.bh__calhead{justify-content:space-between;align-items:center;margin-bottom:8px;display:flex}.bh__calmonth{color:var(--bh-ink);font-size:12.5px;font-weight:700}.bh__calnav{width:26px;height:26px;color:var(--bh-ink-muted);cursor:pointer;background:0 0;border:none;border-radius:8px;font-family:inherit;font-size:16px;line-height:1}.bh__calnav:hover:not(:disabled){background:var(--bh-muted-surface);color:var(--bh-ink)}.bh__calnav:disabled{color:var(--theme-elevation-200,#d9dee6);cursor:default}.bh__calgrid{grid-template-columns:repeat(7,1fr);gap:2px;display:grid}.bh__calgrid--head{margin-bottom:2px}.bh__calwd{text-align:center;letter-spacing:.04em;text-transform:uppercase;color:var(--bh-caption);padding:4px 0;font-size:10px;font-weight:700}.bh__calday{height:30px;color:var(--bh-ink);cursor:pointer;background:0 0;border:none;border-radius:8px;font-family:inherit;font-size:12px;font-weight:600}.bh__calday:hover:not(:disabled){background:var(--bh-muted-surface)}.bh__calday:disabled{color:var(--theme-elevation-200,#d9dee6);cursor:default}.bh__calday--outside{color:var(--bh-caption-light)}.bh__calday--in{background:var(--bh-accent-soft);border-radius:0}.bh__calday--edge,.bh__calday--edge:hover:not(:disabled){background:var(--gp-aurora);color:#fff}.bh__calday--start{border-radius:8px 0 0 8px}.bh__calday--end{border-radius:0 8px 8px 0}.bh__calfoot{border-top:1px solid var(--bh-divider);color:var(--bh-caption);margin-top:10px;padding-top:9px;font-size:10.5px;font-weight:600}.bh__main{flex-direction:column;gap:20px;max-width:1240px;margin:0 auto;padding:22px 28px 56px;display:flex;position:relative}.bh-eyebrow{letter-spacing:.14em;text-transform:uppercase;color:var(--gp-brand-blue);font-size:11px;font-weight:800}.bh-label{letter-spacing:.11em;text-transform:uppercase;color:var(--bh-ink-muted);font-size:10.5px;font-weight:700}.bh-note{color:var(--bh-caption);font-size:11.5px}.bh-sectionhead{flex-wrap:wrap;align-items:baseline;gap:10px;margin-bottom:9px;display:flex}.bh-card{background:var(--bh-surface);border:1px solid var(--bh-hairline);box-shadow:var(--bh-card-shadow);border-radius:18px;padding:20px 22px 18px}.bh-strip{background:var(--bh-hairline);border:1px solid var(--bh-hairline);border-radius:16px;grid-template-columns:repeat(4,1fr);gap:1px;display:grid;overflow:hidden}.bh-strip__cell{background:var(--bh-surface);padding:15px 18px}.bh-metric{letter-spacing:-.032em;font-variant-numeric:tabular-nums;margin-top:7px;font-size:29px;font-weight:800;line-height:1}.bh-metric--blue{color:var(--bh-deep-blue)}.bh-channels{grid-template-columns:1fr 1fr;gap:8px 32px;margin-top:14px;display:grid}.bh-channel{grid-template-columns:118px 1fr 84px;align-items:center;gap:12px;min-width:0;display:grid}.bh-channel__label{text-overflow:ellipsis;white-space:nowrap;font-size:13px;font-weight:700;overflow:hidden}.bh-track{background:var(--bh-track);border-radius:6px;height:16px;overflow:hidden}.bh-track__fill{border-radius:6px;height:100%}.bh-channel__value{font-variant-numeric:tabular-nums;justify-content:flex-end;align-items:baseline;gap:7px;display:flex}.bh-channel__value span:first-child{font-size:14px;font-weight:800}.bh-channel__value span:last-child{color:var(--bh-caption);font-size:11px;font-weight:600}.bh-funnel{grid-template-columns:1fr 268px;gap:26px;display:grid}.bh-stages{flex-direction:column;margin-top:14px;display:flex}.bh-stage{grid-template-columns:176px 1fr 58px;align-items:center;gap:16px;display:grid}.bh-stage__label{white-space:nowrap;font-size:13.5px;font-weight:700}.bh-stage__track{background:var(--theme-elevation-100,#f0f3f8);border-radius:8px;height:28px;overflow:hidden}.bh-stage__fill{border-radius:8px;height:100%}.bh-stage__count{text-align:right;letter-spacing:-.02em;font-variant-numeric:tabular-nums;font-size:19px;font-weight:800}.bh-stage__count--blue{color:var(--bh-deep-blue)}.bh-connector{grid-template-columns:176px 1fr 58px;gap:16px;padding:6px 0;display:grid}.bh-connector__pill{color:var(--bh-ink-muted);background:var(--bh-track);font-variant-numeric:tabular-nums;white-space:nowrap;border-radius:999px;justify-self:start;padding:2px 9px;font-size:11px;font-weight:700}.bh-rail{border-left:1px solid var(--bh-divider);flex-direction:column;gap:18px;padding-left:24px;display:flex}.bh-conv{align-items:flex-end;gap:5px;margin-top:6px;display:flex}.bh-conv__value{letter-spacing:-.04em;background:var(--gp-aurora);color:#0000;font-variant-numeric:tabular-nums;-webkit-background-clip:text;background-clip:text;font-size:40px;font-weight:800;line-height:.9}.bh-conv__pct{color:var(--bh-deep-blue);padding-bottom:2px;font-size:18px;font-weight:800}.bh-fade{flex:1;min-width:60px}.bh-fade svg{width:100%;height:8px;display:block}.bh-ttp{flex-direction:column;gap:7px;margin-top:10px;display:flex}.bh-ttp__row{justify-content:space-between;align-items:center;gap:10px;display:flex}.bh-ttp__row span:first-child{color:var(--bh-ink-muted);font-size:12px;font-weight:600}.bh-ttp__row span:last-child{font-family:ui-monospace,SFMono-Regular,Menlo,monospace;font-size:13px;font-weight:600}.bh-ttp__row--avg{background:var(--bh-accent-soft);border-radius:8px;margin:0 -9px;padding:5px 9px}.bh-ttp__row--avg span:first-child,.bh-ttp__row--avg span:last-child{color:var(--bh-deep-blue);font-weight:700}.bh-lower{grid-template-columns:1fr 1.3fr;gap:20px;display:grid}.bh-activity{align-self:start}.bh-activity__figure{align-items:flex-end;gap:9px;margin-top:12px;display:flex}.bh-activity__figure span:first-child{letter-spacing:-.035em;font-variant-numeric:tabular-nums;font-size:33px;font-weight:800;line-height:.9}.bh-activity__figure span:last-child{color:var(--bh-ink-muted);padding-bottom:3px;font-size:12px;font-weight:600}.bh-split{gap:2px;height:18px;margin-top:9px;display:flex}.bh-split__free{background:#c2ecda;border-radius:6px 3px 3px 6px}.bh-split__paid{background:linear-gradient(90deg,#0069d9,#0059c9);border-radius:3px 6px 6px 3px;flex:1}.bh-legend{justify-content:space-between;gap:10px;margin-top:9px;display:flex}.bh-legend>span{align-items:center;gap:6px;font-size:12px;font-weight:600;display:flex}.bh-legend b{font-variant-numeric:tabular-nums;font-weight:800}.bh-swatch{border-radius:3px;width:8px;height:8px}.bh-tiles{grid-template-columns:repeat(3,1fr);gap:10px;display:grid}.bh-tile{background:var(--bh-surface);border:1px solid var(--bh-hairline);border-radius:16px;padding:16px 18px 14px;transition:transform .2s cubic-bezier(.4,0,.2,1),box-shadow .2s cubic-bezier(.4,0,.2,1);position:relative;overflow:hidden}.bh-tile:hover{transform:translateY(-3px);box-shadow:0 24px 50px -40px #0b0f1473}.bh-tile--wide{grid-column:span 2}.bh-tile--churn{border-color:#f6ddd7}.bh-tile--muted{background:var(--bh-muted-surface)}.bh-tile--muted:hover{box-shadow:none;transform:none}.bh-tile__accent{height:3px;position:absolute;top:0;left:0;right:0}.bh-tile__pair{flex-wrap:wrap;justify-content:space-between;align-items:flex-end;gap:16px;display:flex}.bh-tile__caption{color:var(--bh-caption);margin-top:9px;font-size:11.5px}.bh-metric--churn{color:#d9503a}.bh-footer{align-items:center;gap:14px;display:flex}.bh-footer>span{color:var(--bh-caption-light);font-size:11.5px}.bh-error{background:var(--theme-error-50,#fef2f7);color:var(--theme-error-500,#ef4444);border-radius:16px;padding:12px 16px;font-size:14px}.bh-unset{color:var(--bh-caption);margin-top:7px;font-size:14px;font-style:italic}@media (max-width:900px){.bh-funnel,.bh-lower,.bh-channels{grid-template-columns:1fr}.bh-strip{grid-template-columns:repeat(2,1fr)}.bh-rail{border-left:none;border-top:1px solid var(--bh-divider);padding-top:20px;padding-left:0}.bh-stage,.bh-connector{grid-template-columns:130px 1fr 52px}.bh-tiles{grid-template-columns:repeat(2,1fr)}.bh-tile--wide{grid-column:span 2}}@media (max-width:640px){.bh__main{padding:18px 16px 40px}.bh__shell{padding:11px 16px}.bh-tiles{grid-template-columns:1fr}.bh-tile--wide{grid-column:span 1}}html[data-theme=dark] .bh{background:var(--theme-bg);--bh-accent-soft:#0069d924;--bh-chip-border:#0069d959;--bh-deep-blue:#7fb2f0;--bh-card-shadow:0 24px 60px -50px #000c}html[data-theme=dark] .bh-tile--churn{border-color:#ff7a6659}html[data-theme=dark] .bh-metric--churn{color:#ff9b8a}html[data-theme=dark] .bh-split__free{background:#3f7f66}html[data-theme=dark] .bh-conv__pct{color:#7fb2f0}
