@font-face{font-display:block;font-family:KaTeX_AMS;font-style:normal;font-weight:400;src:url(/_astro/KaTeX_AMS-Regular.BQhdFMY1.woff2)format("woff2"),url(/_astro/KaTeX_AMS-Regular.DMm9YOAa.woff)format("woff"),url(/_astro/KaTeX_AMS-Regular.DRggAlZN.ttf)format("truetype")}@font-face{font-display:block;font-family:KaTeX_Caligraphic;font-style:normal;font-weight:700;src:url(/_astro/KaTeX_Caligraphic-Bold.Dq_IR9rO.woff2)format("woff2"),url(/_astro/KaTeX_Caligraphic-Bold.BEiXGLvX.woff)format("woff"),url(/_astro/KaTeX_Caligraphic-Bold.ATXxdsX0.ttf)format("truetype")}@font-face{font-display:block;font-family:KaTeX_Caligraphic;font-style:normal;font-weight:400;src:url(/_astro/KaTeX_Caligraphic-Regular.Di6jR-x-.woff2)format("woff2"),url(/_astro/KaTeX_Caligraphic-Regular.CTRA-rTL.woff)format("woff"),url(/_astro/KaTeX_Caligraphic-Regular.wX97UBjC.ttf)format("truetype")}@font-face{font-display:block;font-family:KaTeX_Fraktur;font-style:normal;font-weight:700;src:url(/_astro/KaTeX_Fraktur-Bold.CL6g_b3V.woff2)format("woff2"),url(/_astro/KaTeX_Fraktur-Bold.BsDP51OF.woff)format("woff"),url(/_astro/KaTeX_Fraktur-Bold.BdnERNNW.ttf)format("truetype")}@font-face{font-display:block;font-family:KaTeX_Fraktur;font-style:normal;font-weight:400;src:url(/_astro/KaTeX_Fraktur-Regular.CTYiF6lA.woff2)format("woff2"),url(/_astro/KaTeX_Fraktur-Regular.Dxdc4cR9.woff)format("woff"),url(/_astro/KaTeX_Fraktur-Regular.CB_wures.ttf)format("truetype")}@font-face{font-display:block;font-family:KaTeX_Main;font-style:normal;font-weight:700;src:url(/_astro/KaTeX_Main-Bold.Cx986IdX.woff2)format("woff2"),url(/_astro/KaTeX_Main-Bold.Jm3AIy58.woff)format("woff"),url(/_astro/KaTeX_Main-Bold.waoOVXN0.ttf)format("truetype")}@font-face{font-display:block;font-family:KaTeX_Main;font-style:italic;font-weight:700;src:url(/_astro/KaTeX_Main-BoldItalic.DxDJ3AOS.woff2)format("woff2"),url(/_astro/KaTeX_Main-BoldItalic.SpSLRI95.woff)format("woff"),url(/_astro/KaTeX_Main-BoldItalic.DzxPMmG6.ttf)format("truetype")}@font-face{font-display:block;font-family:KaTeX_Main;font-style:italic;font-weight:400;src:url(/_astro/KaTeX_Main-Italic.NWA7e6Wa.woff2)format("woff2"),url(/_astro/KaTeX_Main-Italic.BMLOBm91.woff)format("woff"),url(/_astro/KaTeX_Main-Italic.3WenGoN9.ttf)format("truetype")}@font-face{font-display:block;font-family:KaTeX_Main;font-style:normal;font-weight:400;src:url(/_astro/KaTeX_Main-Regular.B22Nviop.woff2)format("woff2"),url(/_astro/KaTeX_Main-Regular.Dr94JaBh.woff)format("woff"),url(/_astro/KaTeX_Main-Regular.ypZvNtVU.ttf)format("truetype")}@font-face{font-display:block;font-family:KaTeX_Math;font-style:italic;font-weight:700;src:url(/_astro/KaTeX_Math-BoldItalic.CZnvNsCZ.woff2)format("woff2"),url(/_astro/KaTeX_Math-BoldItalic.iY-2wyZ7.woff)format("woff"),url(/_astro/KaTeX_Math-BoldItalic.B3XSjfu4.ttf)format("truetype")}@font-face{font-display:block;font-family:KaTeX_Math;font-style:italic;font-weight:400;src:url(/_astro/KaTeX_Math-Italic.t53AETM-.woff2)format("woff2"),url(/_astro/KaTeX_Math-Italic.DA0__PXp.woff)format("woff"),url(/_astro/KaTeX_Math-Italic.flOr_0UB.ttf)format("truetype")}@font-face{font-display:block;font-family:KaTeX_SansSerif;font-style:normal;font-weight:700;src:url(/_astro/KaTeX_SansSerif-Bold.D1sUS0GD.woff2)format("woff2"),url(/_astro/KaTeX_SansSerif-Bold.DbIhKOiC.woff)format("woff"),url(/_astro/KaTeX_SansSerif-Bold.CFMepnvq.ttf)format("truetype")}@font-face{font-display:block;font-family:KaTeX_SansSerif;font-style:italic;font-weight:400;src:url(/_astro/KaTeX_SansSerif-Italic.C3H0VqGB.woff2)format("woff2"),url(/_astro/KaTeX_SansSerif-Italic.DN2j7dab.woff)format("woff"),url(/_astro/KaTeX_SansSerif-Italic.YYjJ1zSn.ttf)format("truetype")}@font-face{font-display:block;font-family:KaTeX_SansSerif;font-style:normal;font-weight:400;src:url(/_astro/KaTeX_SansSerif-Regular.DDBCnlJ7.woff2)format("woff2"),url(/_astro/KaTeX_SansSerif-Regular.CS6fqUqJ.woff)format("woff"),url(/_astro/KaTeX_SansSerif-Regular.BNo7hRIc.ttf)format("truetype")}@font-face{font-display:block;font-family:KaTeX_Script;font-style:normal;font-weight:400;src:url(/_astro/KaTeX_Script-Regular.D3wIWfF6.woff2)format("woff2"),url(/_astro/KaTeX_Script-Regular.D5yQViql.woff)format("woff"),url(/_astro/KaTeX_Script-Regular.C5JkGWo-.ttf)format("truetype")}@font-face{font-display:block;font-family:KaTeX_Size1;font-style:normal;font-weight:400;src:url(/_astro/KaTeX_Size1-Regular.mCD8mA8B.woff2)format("woff2"),url(/_astro/KaTeX_Size1-Regular.C195tn64.woff)format("woff"),url(/_astro/KaTeX_Size1-Regular.Dbsnue_I.ttf)format("truetype")}@font-face{font-display:block;font-family:KaTeX_Size2;font-style:normal;font-weight:400;src:url(/_astro/KaTeX_Size2-Regular.Dy4dx90m.woff2)format("woff2"),url(/_astro/KaTeX_Size2-Regular.oD1tc_U0.woff)format("woff"),url(/_astro/KaTeX_Size2-Regular.B7gKUWhC.ttf)format("truetype")}@font-face{font-display:block;font-family:KaTeX_Size3;font-style:normal;font-weight:400;src:url(data:font/woff2;base64,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)format("woff2"),url(/_astro/KaTeX_Size3-Regular.CTq5MqoE.woff)format("woff"),url(/_astro/KaTeX_Size3-Regular.DgpXs0kz.ttf)format("truetype")}@font-face{font-display:block;font-family:KaTeX_Size4;font-style:normal;font-weight:400;src:url(/_astro/KaTeX_Size4-Regular.Dl5lxZxV.woff2)format("woff2"),url(/_astro/KaTeX_Size4-Regular.BF-4gkZK.woff)format("woff"),url(/_astro/KaTeX_Size4-Regular.DWFBv043.ttf)format("truetype")}@font-face{font-display:block;font-family:KaTeX_Typewriter;font-style:normal;font-weight:400;src:url(/_astro/KaTeX_Typewriter-Regular.CO6r4hn1.woff2)format("woff2"),url(/_astro/KaTeX_Typewriter-Regular.C0xS9mPB.woff)format("woff"),url(/_astro/KaTeX_Typewriter-Regular.D3Ib7_Hf.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{-webkit-clip-path:inset(50%);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}.prose[data-astro-cid-h3xj43oc]{max-width:var(--reading-width,720px);font-family:var(--reading-font);font-size:var(--reading-size);line-height:1.8}.prose[data-astro-cid-h3xj43oc] h1,.prose[data-astro-cid-h3xj43oc] h2,.prose[data-astro-cid-h3xj43oc] h3{margin-top:2em;margin-bottom:.7em}.prose[data-astro-cid-h3xj43oc] p,.prose[data-astro-cid-h3xj43oc] ul,.prose[data-astro-cid-h3xj43oc] ol{margin-block:1em}.prose[data-astro-cid-h3xj43oc] a{color:var(--accent)}.prose[data-astro-cid-h3xj43oc] pre,.prose[data-astro-cid-h3xj43oc] .katex-display{padding:1rem;overflow-x:auto}.prose[data-astro-cid-h3xj43oc] table{border-collapse:collapse;display:block;overflow-x:auto}.prose[data-astro-cid-h3xj43oc] td,.prose[data-astro-cid-h3xj43oc] th{border-bottom:1px solid var(--line);padding:.5em 1em}.prose[data-astro-cid-h3xj43oc] img{max-width:100%;height:auto}.brainrot{--br-text:#fff;--br-muted:#d4d4d8;--br-surface:#252529;--br-accent:#eda1ae;--br-tabbar-height:calc(64px + env(safe-area-inset-bottom,0px));width:100vw;max-width:100vw;height:100dvh;max-height:100dvh;color:var(--br-text);color-scheme:dark;overscroll-behavior:contain;background:0 0;border:0;border-radius:0;margin:0;padding:0;overflow:clip}.brainrot::backdrop{background:#080808}.brainrot-shell{width:min(100%, calc((100dvh - var(--br-tabbar-height)) * .5625));background:#080808;height:100%;margin-inline:auto;position:relative}.brainrot-stage{inset:0 0 var(--br-tabbar-height);position:absolute;overflow:hidden}.brainrot-feed{scroll-snap-type:y mandatory;overscroll-behavior:contain;scrollbar-width:none;height:100%;overflow-y:auto}.brainrot-feed::-webkit-scrollbar{display:none}.brainrot-clip{scroll-snap-align:start;scroll-snap-stop:always;width:100%;height:100%}.brainrot-clip video{object-fit:cover;width:100%;height:100%}.brainrot button{min-width:48px;min-height:48px;color:inherit;cursor:pointer;background:0 0;border:0;border-radius:50%;justify-content:center;align-items:center;padding:8px;display:inline-flex}.brainrot button:disabled{opacity:.4;cursor:default}.brainrot button:enabled:hover{background:#ffffff24}.brainrot :focus-visible{outline:2px solid var(--br-accent);outline-offset:2px}.brainrot ::selection{color:#151517;background:var(--br-accent)}.brainrot-header{top:max(12px, env(safe-area-inset-top));z-index:3;pointer-events:none;align-items:center;display:flex;position:absolute;inset-inline:10px}.brainrot-header button{pointer-events:auto}.brainrot-header svg,.brainrot-settings-open svg,.brainrot-volume-button svg{filter:drop-shadow(0 2px 3px #0008)}.brainrot-tabs{white-space:nowrap;text-shadow:0 1px 3px #000;justify-content:center;align-items:center;gap:20px;font-size:16px;display:flex;position:absolute;left:50%;translate:-50%}.brainrot-tabs>span{color:#ffffffb3}.brainrot-tabs strong{font-weight:800;position:relative}.brainrot-tabs strong:after{content:"";background:#fff;border-radius:2px;width:24px;height:3px;position:absolute;bottom:-9px;left:calc(50% - 12px)}.brainrot-overlay{pointer-events:none;background:linear-gradient(#0007,#0000 18% 72%,#000a);flex-direction:column;justify-content:center;display:flex;position:absolute;inset:0}.brainrot-reading{flex-direction:column;align-items:stretch;gap:20px;width:calc(100% - 40px);max-width:620px;max-height:calc(100% - 250px);margin-inline:auto;display:flex}.brainrot-caption{color:#fff;max-width:calc(100% - 24px);font-family:var(--br-caption-font,"Manrope Variable", sans-serif);font-size:calc(clamp(20px, 2.8dvh, 26px) * var(--br-caption-scale,1));overflow-wrap:anywhere;text-align:center;text-wrap:balance;paint-order:stroke fill;-webkit-text-stroke:3px #181819;text-shadow:0 2px 4px #000;margin:0 auto;font-weight:800;line-height:1.22}.brainrot-topic{text-shadow:0 1px 4px #000;line-height:1.5;position:absolute;bottom:82px;left:18px;right:72px}.brainrot-topic strong{font-size:15px;display:block}.brainrot-topic p{margin:6px 0 10px;font-size:13px;line-height:1.4}.brainrot-sound{align-items:center;gap:6px;font-size:11px;display:flex}.brainrot-sound>span{white-space:nowrap;text-overflow:ellipsis;overflow:hidden}.brainrot button.brainrot-play{z-index:2;background:#0005;width:76px;height:76px;transition:opacity .15s;position:absolute;top:50%;left:50%;translate:-50% -50%}.brainrot[data-playing=true] .brainrot-play{opacity:0}.brainrot[data-playing=true] .brainrot-play:focus-visible{opacity:1}.brainrot-stage:has(.brainrot-video-preview) .brainrot-play{pointer-events:none}.brainrot-pause-icon,.brainrot[data-playing=true] .brainrot-play-icon,.brainrot-sound-off{display:none}.brainrot[data-playing=true] .brainrot-pause-icon{display:block}.brainrot-volume-button[data-silent=true] .brainrot-sound-on{display:none}.brainrot-volume-button[data-silent=true] .brainrot-sound-off{display:block}.brainrot-social{z-index:2;flex-direction:column;align-items:center;gap:18px;width:50px;display:flex;position:absolute;bottom:23px;right:7px}.brainrot-avatar{background:#8c2d3b;border:2px solid #fff;border-radius:50%;place-items:center;width:44px;height:44px;margin-bottom:6px;display:grid;position:relative}.brainrot-avatar>span{background:#fe2c55;border-radius:50%;place-items:center;width:19px;height:19px;display:grid;position:absolute;bottom:-9px}.brainrot-social-count{text-shadow:0 1px 3px #000;flex-direction:column;align-items:center;gap:3px;font-size:11px;font-weight:700;display:flex}.brainrot-social-count svg{filter:drop-shadow(0 2px 2px #0004)}.brainrot-progress{bottom:var(--br-tabbar-height);z-index:3;height:24px;position:absolute;inset-inline:0}.brainrot [data-br-seek]{--br-progress:0%;appearance:none;cursor:pointer;touch-action:none;background:0 0;width:100%;height:24px;margin:0;padding:0;position:absolute;bottom:-10px}.brainrot [data-br-seek]::-webkit-slider-runnable-track{background:linear-gradient(to right, #fe2c55 var(--br-progress), #ffffff70 var(--br-progress));height:4px}.brainrot [data-br-seek]::-moz-range-track{background:linear-gradient(to right, #fe2c55 var(--br-progress), #ffffff70 var(--br-progress));height:4px}.brainrot [data-br-seek]::-webkit-slider-thumb{appearance:none;background:#fff;border:0;border-radius:50%;width:0;height:0}.brainrot [data-br-seek]::-moz-range-thumb{background:#fff;border:0;border-radius:50%;width:0;height:0}.brainrot[data-scrubbing=true] [data-br-seek]::-webkit-slider-runnable-track,.brainrot [data-br-seek]:focus-visible::-webkit-slider-runnable-track{height:7px}.brainrot[data-scrubbing=true] [data-br-seek]::-moz-range-track,.brainrot [data-br-seek]:focus-visible::-moz-range-track{height:7px}.brainrot[data-scrubbing=true] [data-br-seek]::-webkit-slider-thumb,.brainrot [data-br-seek]:focus-visible::-webkit-slider-thumb{width:18px;height:18px;margin-top:-5.5px}.brainrot[data-scrubbing=true] [data-br-seek]::-moz-range-thumb,.brainrot [data-br-seek]:focus-visible::-moz-range-thumb{width:18px;height:18px}.brainrot-time{bottom:38px;text-align:center;white-space:nowrap;color:#fff;font-variant-numeric:tabular-nums;text-shadow:0 2px 4px #0005;pointer-events:none;font:800 clamp(28px,5dvh,42px)/1.2 Manrope,sans-serif;display:none;position:absolute;inset-inline:0}.brainrot[data-scrubbing=true] .brainrot-time,.brainrot-progress:has(:focus-visible) .brainrot-time{display:block}.brainrot[data-scrubbing=true] .brainrot-topic,.brainrot:has([data-br-seek]:focus-visible) .brainrot-topic{opacity:0}.brainrot-status{z-index:2;color:#fff;background:#151517ed;border-radius:8px;margin:0;padding:10px 14px;font-size:13px;line-height:1.5;position:absolute;bottom:132px;left:18px;right:72px}.brainrot-transport{align-items:center;gap:4px;display:flex}.brainrot-transport .brainrot-rate{margin-left:auto}.brainrot-visual{--code-background:#fff;--code-foreground:#292a30;--code-token-comment:#68666c;--code-token-keyword:#8c2d3b;--code-token-string:#28716c;--code-token-string-expression:#28716c;--code-token-constant:#8c2d3b;--code-token-function:#28716c;--code-token-parameter:#292a30;--code-token-punctuation:#292a30;--code-token-link:#8c2d3b;--text:#292a30;--surface:#fff;--accent:#8c2d3b;--accent-soft:#f3e9e9;--diagram-secondary:#28716c;color:#292a30;pointer-events:auto;touch-action:pan-x pinch-zoom;scrollbar-color:#8c2d3b #eee;background:#fff;border-radius:8px;flex:0 auto;min-height:0;padding:16px;font-size:18px;overflow:auto}.brainrot-visual img,.brainrot-visual svg{max-width:100%;height:auto;margin:auto;display:block}.brainrot-visual .katex-display{margin:0}.brainrot-visual pre{white-space:pre;color:var(--code-foreground);background:var(--code-background);margin:0;font-size:13px}.brainrot-visual table{border-collapse:collapse;margin:auto}.brainrot-visual th,.brainrot-visual td{border-bottom:1px solid #ddd;padding:4px 16px}.brainrot-visual p{margin:0}.brainrot-tabbar{bottom:0;height:var(--br-tabbar-height);padding:8px 2px env(safe-area-inset-bottom,0px);background:#080808;justify-content:space-around;align-items:flex-start;display:flex;position:absolute;inset-inline:0}.brainrot-tabbar button{border-radius:0;flex-direction:column;flex:1;gap:3px;min-width:0;min-height:45px;padding:0;font-size:8px}.brainrot-tabbar button:disabled{opacity:1;color:#999}.brainrot-tabbar .brainrot-create{flex:.85}.brainrot-create>span{color:#080808;background:#fff;border-radius:6px;place-items:center;width:36px;height:26px;display:grid;box-shadow:-4px 0 #25f4ee,4px 0 #fe2c55}.brainrot-clip-controls{flex-direction:column;gap:16px;display:flex;position:fixed;top:50%;right:max(24px,50vw - 28.125dvh - 76px)}.brainrot-clip-controls button{background:#ffffff12}@media (width<=600px){.brainrot-shell{width:100%}.brainrot-clip-controls{display:none}}@media (height<=650px){.brainrot-social{gap:9px}.brainrot-social-count svg{width:26px;height:26px}.brainrot-reading{max-height:calc(100% - 160px)}}@media (height<=500px){.brainrot-shell{width:min(100%,900px)}.brainrot-topic{bottom:22px;left:76px}.brainrot-reading{gap:8px;width:min(550px,100% - 40px);max-height:calc(100% - 156px);margin-inline:auto;transform:translateY(-12px)}.brainrot-caption{font-size:calc(20px * var(--br-caption-scale,1))}.brainrot button.brainrot-play{width:56px;height:56px}.brainrot-social{gap:4px;bottom:18px}.brainrot-avatar{width:32px;height:32px}.brainrot-social-count{gap:1px;font-size:10px}.brainrot-social-count svg{width:22px;height:22px}.brainrot-clip-controls{display:none}}@media (width>=600px) and (height<=500px){.brainrot-reading{justify-content:center;width:min(550px,100% - 40px);max-height:none;position:absolute;inset:76px 20px 96px;transform:none}}@media (height>=501px){.brainrot-reading:has(.brainrot-visual:not([hidden])){width:calc(100% - 128px)}}@media (prefers-reduced-motion:reduce){.brainrot *{scroll-behavior:auto;transition:none!important}}.brainrot button[hidden]{display:none}.brainrot button.brainrot-social-count{flex-direction:column;padding:0;font:700 11px/1.4 Manrope,sans-serif}.brainrot-panel{width:min(380px,100vw - 32px);max-height:calc(100dvh - 32px);color:var(--br-text);color-scheme:dark;background:#202023;border:0;border-radius:16px;margin:auto;padding:20px;overflow:auto}.brainrot-panel::backdrop{background:#0008}.brainrot-panel header{justify-content:space-between;align-items:center;gap:12px;margin-bottom:20px;display:flex}.brainrot-panel h2{margin:0;font-size:18px}.brainrot-panel label{flex-direction:column;gap:8px;margin-block:16px;font-size:14px;display:flex}.brainrot-panel select,.brainrot-panel input[type=url]{width:100%;min-height:44px;color:inherit;font:inherit;background:#292a30;border:1px solid #ffffff30;border-radius:8px;padding:10px}.brainrot-panel .brainrot-checkbox-option{flex-direction:row;align-items:center;min-height:44px}.brainrot-panel input[type=checkbox]{accent-color:#fe2c55;width:20px;height:20px}.brainrot-panel p{color:var(--br-muted);font-size:13px;line-height:1.6}.brainrot-panel p:empty{display:none}.brainrot-voice-label{justify-content:space-between;align-items:center;gap:12px;display:flex}.brainrot-voice-label [data-br-voice-weight]{color:#f6df8c;background:#f6df8c14;border-radius:4px;padding:2px 6px;font-size:11px}.brainrot-record-actions{flex-wrap:wrap;align-items:center;gap:8px;display:flex}.brainrot-record-actions button{background:var(--br-surface);border-radius:8px;gap:8px;padding:10px 12px;font-size:13px}.brainrot-record-actions .brainrot-record-primary{background:var(--br-text);color:#202023}.brainrot-record-actions button:disabled{opacity:.5;cursor:wait}.brainrot-panel h3{margin:0;font-size:16px}.brainrot-record-script{margin:20px 0;font-size:17px;line-height:1.65}.brainrot-record-progress:not([hidden]){font-variant-numeric:tabular-nums;align-items:center;gap:12px;margin-block:16px;font-size:12px;display:flex}.brainrot-record-progress progress{accent-color:#fe2c55;flex:1;min-width:0;height:6px}.brainrot-record-progress output{white-space:nowrap}.brainrot-panel audio{width:100%;margin-block:8px}.brainrot-share-actions{flex-wrap:wrap;gap:10px;display:flex}.brainrot-share-actions button{background:var(--br-surface);border-radius:8px;gap:8px;font-size:14px}.brainrot-caption [data-current-word]{color:var(--br-highlight-color,#f6df8c)}.brainrot-caption .katex{-webkit-text-stroke:1px #181819;font-size:1em}.brainrot-visual [data-current-word]{background:color-mix(in srgb, var(--br-highlight-color,#f6df8c) 55%, white);border-radius:4px}.brainrot-play{touch-action:pan-x pinch-zoom}@media (width>=601px) and (hover:hover) and (pointer:fine) and (prefers-reduced-motion:no-preference){.brainrot{--br-controls-fade:.14s}.brainrot-clip-controls{opacity:0;visibility:hidden;transition:opacity var(--br-controls-fade) ease-out, visibility var(--br-controls-fade)}.brainrot[data-entered=true] .brainrot-clip-controls{opacity:1;visibility:visible}.brainrot[data-closing=true] .brainrot-clip-controls{opacity:0;visibility:hidden;pointer-events:none}.brainrot[open] .brainrot-shell{animation:.42s cubic-bezier(.16,1,.3,1) backwards brainrot-phone-in}.brainrot[open]::backdrop{animation:.35s ease-out both brainrot-darken}.brainrot[data-closing=true] .brainrot-shell{animation:.22s ease-in both brainrot-phone-out}.brainrot[data-closing=true]::backdrop{animation:.22s ease-in reverse both brainrot-darken}.brainrot[data-entered=true][data-closing=true] .brainrot-shell,.brainrot[data-entered=true][data-closing=true]::backdrop{animation-delay:var(--br-controls-fade)}}@keyframes brainrot-phone-in{0%{transform:translateY(100dvh)}to{transform:translateY(0)}}@keyframes brainrot-phone-out{0%{transform:translateY(0)}to{transform:translateY(100dvh)}}@keyframes brainrot-darken{0%{opacity:0}to{opacity:1}}.brainrot-visual pre{font-family:var(--code-font);line-height:1.6}.brainrot-visual .brainrot-video-preview{color:#292a30;gap:12px;font:700 15px/1.4 Manrope,sans-serif;text-decoration:none;display:grid}.brainrot-video-preview img{border-radius:4px;width:100%}.brainrot-visual .tok-keyword,.brainrot-visual .tok-operator,.brainrot-visual .tok-meta{color:var(--code-token-keyword)}.brainrot-visual .tok-string,.brainrot-visual .tok-string2{color:var(--code-token-string)}.brainrot-visual .tok-number,.brainrot-visual .tok-bool,.brainrot-visual .tok-atom{color:var(--code-token-constant)}.brainrot-visual .tok-typeName,.brainrot-visual .tok-className,.brainrot-visual .tok-labelName{color:var(--code-token-function)}.brainrot-visual .tok-comment{color:var(--code-token-comment);font-style:italic}.brainrot-header .brainrot-settings-open{margin-left:auto}.brainrot-volume{z-index:4;position:absolute;bottom:16px;left:14px}.brainrot button.brainrot-volume-button{background:#181819e6;border-radius:50%;width:48px;height:48px;padding:0}.brainrot-volume-slider{width:48px;height:164px;padding:16px 12px 26px;display:none;position:absolute;bottom:100%;left:0}.brainrot-volume-slider:before{content:"";z-index:-1;background:#292929;border-radius:24px;position:absolute;inset:0 0 10px}.brainrot [data-br-volume]{appearance:none;writing-mode:vertical-lr;cursor:pointer;direction:rtl;background:0 0;width:24px;height:122px;margin:0}.brainrot [data-br-volume]::-webkit-slider-runnable-track{background:linear-gradient(to top, #fff var(--br-volume,100%), #727272 var(--br-volume,100%));width:5px}.brainrot [data-br-volume]::-webkit-slider-thumb{appearance:none;background:#fff;border-radius:50%;width:20px;height:20px;margin-left:-7.5px}.brainrot [data-br-volume]::-moz-range-track{background:#727272;width:5px}.brainrot [data-br-volume]::-moz-range-progress{background:#fff}.brainrot [data-br-volume]::-moz-range-thumb{background:#fff;border:0;border-radius:50%;width:20px;height:20px}@media (hover:hover) and (pointer:fine){.brainrot-volume:is(:hover,:focus-within) .brainrot-volume-slider{display:block}}.brainrot [data-br-decoration][hidden]{display:none}.brainrot-reader-settings{scrollbar-color:var(--br-muted) #202023;width:min(440px,100vw - 24px);padding-top:0}.brainrot-reader-settings>header{z-index:1;background:#202023;margin:0;padding-block:12px;position:sticky;top:0}.brainrot-reader-settings fieldset{border:0;border-top:1px solid #ffffff1f;min-width:0;margin:0;padding:20px 0 24px}.brainrot-reader-settings legend{padding:0 10px 0 0;font-size:14px;font-weight:750}.brainrot-reader-settings fieldset>label:first-of-type{margin-top:0}.brainrot-settings-row{justify-content:space-between;align-items:center;gap:16px;font-size:14px;display:flex}.brainrot-settings-row output{color:var(--br-muted);font-variant-numeric:tabular-nums}.brainrot-decoration-options{grid-template-columns:1fr 1fr;gap:0 16px;display:grid}.brainrot-reader-settings .brainrot-checkbox-option{margin:0;padding-block:5px}.brainrot-reader-settings input[type=checkbox]{flex-shrink:0}.brainrot-reader-settings [hidden]{display:none}.brainrot-reader-settings .brainrot-color-option{flex-direction:row;justify-content:space-between;align-items:center}.brainrot-reader-settings input[type=color]{cursor:pointer;background:#292a30;border:1px solid #ffffff30;border-radius:8px;width:48px;height:44px;padding:4px}.brainrot-reader-settings input[type=range]{accent-color:#fe2c55;width:100%;height:28px}.brainrot-reader-settings a{color:var(--br-accent);text-underline-offset:3px;font-size:13px}.brainrot-reader-settings input[type=file]{max-width:100%;font-size:13px}.course-shell{grid-template-columns:200px minmax(0, var(--reading-width,720px)) 170px;max-width:var(--container);justify-content:center;align-items:start;gap:40px;margin:0 auto;padding:40px 32px 0;display:grid}.course-sidebar{max-height:calc(100dvh - 124px);font-size:13px;position:sticky;top:100px;overflow-y:auto}.course-sidebar>summary{display:none}.course-sidebar h2{margin:24px 10px 14px;font-size:17px;line-height:1.5}.course-sidebar h3{color:var(--muted);margin:24px 10px 8px;font-size:12px;font-weight:650}.course-sidebar ul{margin:0;padding:0;list-style:none}.course-sidebar a{border-radius:6px;min-height:40px;padding:9px 10px;text-decoration:none;display:block}.course-sidebar a:hover{background:var(--soft)}.course-sidebar a[aria-current=page]{background:var(--accent-soft);color:var(--accent);font-weight:750}.course-sidebar .course-back{color:var(--muted);align-items:center;gap:8px;font-size:12px;display:flex}.course-sidebar .course-contribute{color:var(--accent);margin-top:28px}.course-article{min-width:0}.lesson-heading h1{letter-spacing:-.035em;margin:4px 0 16px;font-size:36px;line-height:1.2}.lesson-heading>p{color:var(--muted);margin:0 0 16px;font-size:15px}.course-article .page-actions{margin-top:24px}.course-article .prose{max-width:var(--reading-width,720px)}.course-article .lesson-body{margin-top:30px}.page-toc{max-height:calc(100dvh - 136px);position:sticky;top:112px;overflow-y:auto}.page-toc h2{margin:6px 0 14px;font-size:12px}.toc-links{margin:0;padding:0;font-size:12px;list-style:none}.toc-links li{margin:0}.toc-links a{color:var(--muted);overflow-wrap:anywhere;padding:6px 0;line-height:1.6;text-decoration:none;display:block}.toc-links a:hover{color:var(--accent)}.toc-nested{padding-left:12px}.mobile-toc{display:none}.lesson-pagination{border-top:1px solid var(--line);justify-content:space-between;gap:24px;margin-top:36px;padding-top:24px;display:flex}.lesson-pagination a{color:var(--accent);align-items:center;gap:10px;max-width:48%;min-height:48px;font-size:13px;text-decoration:none;display:flex}.lesson-pagination small{color:var(--muted);margin-bottom:3px;font-size:11px;display:block}.lesson-pagination svg{flex-shrink:0}.next-lesson{text-align:right;margin-left:auto}.notes-open .course-shell{grid-template-columns:180px minmax(0,1fr);gap:28px;padding-inline:24px}.notes-open .page-toc{display:none}.notes-open .mobile-toc{display:block}.prose .admonition{--callout:var(--accent);--callout-bg:var(--accent-soft);border:1px solid color-mix(in srgb, var(--callout) 30%, var(--line));background:var(--callout-bg);border-radius:8px;margin:26px 0;padding:16px 20px}.prose .admonition>:first-child{margin-top:0}.prose .admonition>:last-child{margin-bottom:0}.prose .admonition .admonition-title{color:var(--callout);margin:0 0 10px;font-family:Manrope Variable,sans-serif;font-size:14px;font-weight:750}.prose .admonition-info,.prose .admonition-note{--callout:#2459a1;--callout-bg:#edf3fb}.prose .admonition-tip{--callout:#22694f;--callout-bg:#edf5f0}.prose .admonition-warning{--callout:#79500a;--callout-bg:#fcf3df}[data-theme=dark] .prose .admonition-info,[data-theme=dark] .prose .admonition-note{--callout:#a5c6fa;--callout-bg:#242f40}[data-theme=dark] .prose .admonition-tip{--callout:#a3d8b9;--callout-bg:#21352c}[data-theme=dark] .prose .admonition-warning{--callout:#ebcc86;--callout-bg:#342e20}.prose .admonition-danger{--callout:#9c293c;--callout-bg:#fbeef0}[data-theme=dark] .prose .admonition-danger{--callout:#f0adb8;--callout-bg:#40272d}.prose .admonition-details{background:var(--surface)}.prose .admonition-details summary{cursor:pointer;align-items:center;gap:12px;min-height:32px;list-style:none;display:flex}.prose .admonition-details summary::-webkit-details-marker{display:none}.prose .admonition-details summary>svg{flex-shrink:0;transition:transform .15s}.prose .admonition-details[open]>summary>svg{transform:rotate(90deg)}.prose .admonition-details:not([open]) summary{margin-bottom:0}.prose [data-footnotes]{border-top:1px solid var(--line);margin-top:40px;padding-top:20px;font-size:14px}.prose [data-footnote-ref]{padding:0 3px;font-weight:700}.prose [data-footnote-backref]{padding:6px}.prose [data-footnotes] :target{background:var(--accent-soft);border-radius:4px}.content-figure{margin:24px 0}.content-figure img,.content-image{border-radius:8px;max-width:100%;height:auto;display:block}.content-figure figcaption{color:var(--muted);flex-wrap:wrap;justify-content:space-between;gap:8px 20px;margin-top:10px;font-size:12px;display:flex}@media not print{[data-theme=dark] [data-dark-image=dim]{filter:brightness(.75)}[data-theme=dark] [data-dark-image=invert]{filter:invert()hue-rotate(180deg)}}.content-tabs{margin:24px 0}.content-tabs>[role=tablist]{border-bottom:1px solid var(--line);gap:8px;display:flex;overflow-x:auto}.content-tabs [role=tab]{min-height:44px;font:inherit;cursor:pointer;background:0 0;border:none;border-bottom:2px solid #0000;padding:10px 16px;font-size:14px}.content-tabs [role=tab][aria-selected=true]{color:var(--accent);border-bottom-color:var(--accent);font-weight:700}.content-tabs>[role=tabpanel]{padding:4px}.video-load{isolation:isolate;color:#fff;position:relative}.video-thumbnail{object-fit:cover;z-index:-2;width:100%;position:absolute;inset:0;height:100%!important}.video-load:before{content:"";z-index:-1;background:#0009;position:absolute;inset:0}.video-load svg,.video-load span{color:#fff}.video-load svg{background:#b12434;border-radius:50%;width:56px;height:56px;padding:12px}.video-load:hover:before{background:#0007}@media (width<=1280px){.course-shell{grid-template-columns:210px minmax(0,1fr);max-width:1120px}.page-toc{display:none}.mobile-toc{display:block}}.mobile-toc{border-block:1px solid var(--line);margin-top:24px;padding:10px 0}.mobile-toc summary{cursor:pointer;justify-content:space-between;align-items:center;min-height:32px;font-size:13px;display:flex}.mobile-toc .toc-links{padding:12px 8px 0}@media (width<=1100px){.course-shell,.notes-open .course-shell{max-width:840px;padding:20px 24px 0;display:block}.course-sidebar{border-bottom:1px solid var(--line);max-height:none;margin-bottom:28px;padding-bottom:10px;position:static}.course-sidebar>summary{cursor:pointer;align-items:center;gap:8px;min-height:44px;font-weight:700;display:flex}.course-sidebar>summary svg:last-child{margin-left:auto}.course-sidebar[open]>summary svg:last-child{transform:rotate(180deg)}.course-sidebar nav{padding:8px 0 16px}.course-sidebar a{min-height:44px}}@media (width<=700px){.course-shell,.notes-open .course-shell{padding-inline:20px}.lesson-heading h1{font-size:30px}.lesson-pagination{gap:12px}.prose .admonition{padding:14px}}@media print{.course-shell{display:block}.course-sidebar,.page-toc,.mobile-toc,.lesson-pagination,.lesson-source{display:none}}.markdown-link{color:var(--muted);align-items:center;gap:6px;padding:10px 8px;font-size:12px;text-decoration:none;display:inline-flex}.markdown-link:hover{color:var(--accent)}.mobile-toc summary>svg{transition:transform .15s}.mobile-toc[open]>summary>svg{transform:rotate(180deg)}
