.prompt-injection-content.paused .yt-paused-overlay,.prompt-injection-content.scrubbing .yt-video-controls-container,.prompt-injection-content:focus-within .yt-video-controls-container,.prompt-injection-content:hover .yt-video-controls-container,.yt-video-controls-container.paused,.yt-video-controls-container.scrubbing{opacity:1}.yt-paused-overlay{position:absolute;inset:0;z-index:3;display:flex;align-items:center;justify-content:center;border:none;background:rgba(1,4,9,.55);cursor:pointer;transition:opacity .15s ease-in-out}.yt-paused-overlay:focus-visible{outline:none}.yt-paused-overlay:focus-visible .yt-big-play{outline:2px solid #fff;outline-offset:3px}.yt-paused-center{flex-direction:column;gap:.875rem;pointer-events:none}.yt-big-play,.yt-paused-center{display:flex;align-items:center}.yt-big-play{justify-content:center;width:4.25rem;height:3rem;border-radius:.875rem;background:#f03;color:#fff;box-shadow:0 0 1.25rem rgba(0,0,0,.45);transition:background-color .15s ease-in-out,transform .15s ease-in-out}.yt-paused-overlay:hover .yt-big-play{background:#ff1a1a;transform:scale(1.04)}.yt-paused-caption{margin:0;max-width:14rem;font-size:.9375rem;font-weight:500;line-height:1.35;letter-spacing:.01em;color:#e6edf3;text-align:center;text-shadow:0 1px 10px rgba(0,0,0,.65);-webkit-user-select:none;-moz-user-select:none;user-select:none}.yt-video-controls-container{position:absolute;right:0;bottom:0;left:0;z-index:5;color:#fff;opacity:0;transition:opacity .15s ease-in-out}.yt-video-controls-container:before{content:"";position:absolute;right:0;bottom:0;left:0;z-index:-1;width:100%;aspect-ratio:6/1;background:linear-gradient(0deg,rgba(0,0,0,.75),transparent);pointer-events:none}.yt-timeline-container{position:relative;display:flex;align-items:center;height:.4375rem;margin-inline:.5rem;cursor:pointer}.yt-timeline{position:relative;width:100%;height:3px;background-color:hsla(0,0%,39%,.5);transition:height .15s ease-in-out}.yt-timeline:after{content:"";top:0;bottom:0;left:0;right:calc(100% - var(--progress-position, 0) * 100%)}.yt-thumb-indicator,.yt-timeline:after{position:absolute;background-color:#f03}.yt-thumb-indicator{--scale:0;top:-50%;left:calc(var(--progress-position, 0) * 100%);aspect-ratio:1/1;height:200%;border-radius:50%;transform:translateX(-50%) scale(var(--scale));transition:transform .15s ease-in-out}.yt-timeline-input{position:absolute;inset:0;width:100%;margin:0;cursor:pointer;opacity:0}.prompt-injection-content.scrubbing .yt-timeline,.yt-timeline-container:hover .yt-timeline,.yt-video-controls-container.scrubbing .yt-timeline{height:100%}.prompt-injection-content.scrubbing .yt-thumb-indicator,.yt-timeline-container:hover .yt-thumb-indicator,.yt-video-controls-container.scrubbing .yt-thumb-indicator{--scale:1}.yt-controls{display:flex;gap:.5rem;align-items:center;padding:.25rem .5rem .375rem}.yt-control-btn{display:inline-flex;align-items:center;justify-content:center;width:1.875rem;height:1.875rem;border:none;background:none;color:inherit;cursor:pointer;opacity:.85;transition:opacity .15s ease-in-out}.yt-control-btn:hover{opacity:1}.yt-control-btn:focus-visible{outline:2px solid #fff;outline-offset:2px;border-radius:.25rem}.yt-duration-container{display:flex;flex-grow:1;align-items:center;gap:.25rem;font-size:.8125rem;font-variant-numeric:tabular-nums;-webkit-user-select:none;-moz-user-select:none;user-select:none}.yt-duration-sep{opacity:.85}.prompt-injection-scene{--gh-bg:#0d1117;--gh-canvas:#010409;--gh-border:#30363d;--gh-muted:#8b949e;--gh-text:#e6edf3;--gh-link:#4493f8;--gh-code-bg:#161b22;--gh-issue-width:56rem}.prompt-injection-viewport{position:relative;display:flex;flex-direction:column;height:clamp(18rem,62vh,40rem);overflow:hidden;border:1px solid var(--gh-border);border-radius:.75rem;background:var(--gh-canvas);box-shadow:inset 0 1px 0 hsla(0,0%,100%,.04),0 24px 48px rgba(0,0,0,.35)}.prompt-injection-content{position:relative;flex:1;min-height:0;overflow:hidden;background:var(--gh-bg)}.prompt-injection-camera{width:var(--gh-issue-width);min-width:var(--gh-issue-width);transform-origin:0 0;will-change:transform}.prompt-injection-github{width:var(--gh-issue-width);min-width:var(--gh-issue-width);background:var(--gh-bg);color:var(--gh-text);font-size:.875rem;line-height:1.5}.prompt-injection-github a{color:var(--gh-link);text-decoration:none}.prompt-injection-github a:hover{text-decoration:underline}.prompt-injection-topbar{position:relative;z-index:2;display:flex;flex-shrink:0;align-items:center;gap:.5rem;border-bottom:1px solid var(--gh-border);background:#010409;padding:.625rem 1rem;font-size:.8125rem;color:var(--gh-muted)}.prompt-injection-topbar-dots{display:flex;gap:.375rem}.prompt-injection-topbar-dots span{width:.625rem;height:.625rem;border-radius:9999px;background:#484f58}.prompt-injection-issue-header{border-bottom:1px solid var(--gh-border);padding:1.25rem 1.5rem 1rem}.prompt-injection-issue-title{display:flex;flex-wrap:wrap;align-items:flex-start;gap:.625rem;font-size:1.375rem;font-weight:600;line-height:1.35}.prompt-injection-badge-open{display:inline-flex;align-items:center;border:1px solid rgba(35,134,54,.4);border-radius:9999px;background:rgba(35,134,54,.15);padding:.125rem .625rem;font-size:.75rem;font-weight:500;color:#3fb950}.prompt-injection-meta{margin-top:.625rem;font-size:.875rem;color:var(--gh-muted)}.prompt-injection-comment{display:grid;grid-template-columns:3rem 1fr;gap:.75rem;border-bottom:1px solid var(--gh-border);padding:1rem 1.5rem 1.25rem}.prompt-injection-avatar{width:2.5rem;height:2.5rem;border-radius:9999px;background:linear-gradient(135deg,#6e40c9,#1f6feb)}.prompt-injection-comment-header{display:flex;flex-wrap:wrap;align-items:baseline;gap:.375rem;margin-bottom:.75rem;font-size:.875rem}.prompt-injection-comment-header strong{color:var(--gh-text)}.prompt-injection-comment-header span{color:var(--gh-muted)}.prompt-injection-body p{margin:0 0 .875rem;color:#c9d1d9}.prompt-injection-body p:last-child{margin-bottom:0}.prompt-injection-body h3{margin:1.25rem 0 .625rem;font-size:1rem;font-weight:600}.prompt-injection-body ol,.prompt-injection-body ul{margin:0 0 .875rem;padding-left:1.25rem;color:#c9d1d9}.prompt-injection-body li{margin-bottom:.375rem}.prompt-injection-body code{border-radius:.375rem;background:var(--gh-code-bg);padding:.125rem .375rem;font-family:ui-monospace,SFMono-Regular,Menlo,Monaco,Consolas,monospace;font-size:.8125rem;word-break:break-word}.remark-code-title{border-top-left-radius:.25rem;border-top-right-radius:.25rem;--tw-bg-opacity:1;background-color:rgb(55 65 81/var(--tw-bg-opacity,1));padding:.75rem 1.25rem;font-family:ui-monospace,SFMono-Regular,Menlo,Monaco,Consolas,Liberation Mono,Courier New,monospace;font-size:.875rem;line-height:1.25rem;font-weight:700;--tw-text-opacity:1;color:rgb(229 231 235/var(--tw-text-opacity,1))}.remark-code-title:is(.dark *){--tw-bg-opacity:1;background-color:rgb(31 41 55/var(--tw-bg-opacity,1))}.remark-code-title+div>pre{margin-top:0;border-top-left-radius:0;border-top-right-radius:0}.code-highlight{float:left;min-width:100%}.code-line{margin-left:-1rem;margin-right:-1rem;display:block;border-left-width:4px;border-color:transparent;padding-left:1rem;padding-right:1rem}.code-line.inserted{background-color:rgb(34 197 94/var(--tw-bg-opacity,1));--tw-bg-opacity:0.2}.code-line.deleted{background-color:rgb(239 68 68/var(--tw-bg-opacity,1));--tw-bg-opacity:0.2}.highlight-line{margin-left:-1rem;margin-right:-1rem;border-left-width:4px;--tw-border-opacity:1;border-color:rgb(236 72 153/var(--tw-border-opacity,1));background-color:rgb(55 65 81/var(--tw-bg-opacity,1));--tw-bg-opacity:0.5}.line-number:before{margin-left:-.5rem;margin-right:1rem;display:inline-block;width:1rem;text-align:right;--tw-text-opacity:1;color:rgb(156 163 175/var(--tw-text-opacity,1));content:attr(line)}.token.cdata,.token.comment,.token.prolog{color:#637777;font-style:italic}.token.punctuation{color:#c792ea}.namespace{color:#b2ccd6}.token.deleted{color:rgba(239,83,80,.56);font-style:italic}.token.property,.token.symbol{color:#80cbc4}.token.keyword,.token.operator,.token.tag{color:#7fdbca}.token.boolean{color:#ff5874}.token.number{color:#f78c6c}.token.builtin,.token.char,.token.constant,.token.function{color:#82aaff}.token.doctype,.token.selector{color:#c792ea;font-style:italic}.token.attr-name,.token.inserted{color:#addb67;font-style:italic}.language-css .token.string,.style .token.string,.token.entity,.token.string,.token.url{color:#addb67}.token.atrule,.token.attr-value,.token.class-name{color:#ffcb8b}.token.important,.token.regex,.token.variable{color:#d6deeb}.token.bold,.token.important{font-weight:700}.token.italic{font-style:italic}.token.table{display:inline}@font-face{font-family:KaTeX_AMS;src:url(/_next/static/media/KaTeX_AMS-Regular.a79f1c31.woff2) format("woff2"),url(/_next/static/media/KaTeX_AMS-Regular.1608a09b.woff) format("woff"),url(/_next/static/media/KaTeX_AMS-Regular.4aafdb68.ttf) format("truetype");font-weight:400;font-style:normal;font-display:block}@font-face{font-family:KaTeX_Caligraphic;src:url(/_next/static/media/KaTeX_Caligraphic-Bold.ec17d132.woff2) format("woff2"),url(/_next/static/media/KaTeX_Caligraphic-Bold.b6770918.woff) format("woff"),url(/_next/static/media/KaTeX_Caligraphic-Bold.cce5b8ec.ttf) format("truetype");font-weight:700;font-style:normal;font-display:block}@font-face{font-family:KaTeX_Caligraphic;src:url(/_next/static/media/KaTeX_Caligraphic-Regular.55fac258.woff2) format("woff2"),url(/_next/static/media/KaTeX_Caligraphic-Regular.dad44a7f.woff) format("woff"),url(/_next/static/media/KaTeX_Caligraphic-Regular.07ef19e7.ttf) format("truetype");font-weight:400;font-style:normal;font-display:block}@font-face{font-family:KaTeX_Fraktur;src:url(/_next/static/media/KaTeX_Fraktur-Bold.d42a5579.woff2) format("woff2"),url(/_next/static/media/KaTeX_Fraktur-Bold.9f256b85.woff) format("woff"),url(/_next/static/media/KaTeX_Fraktur-Bold.b18f59e1.ttf) format("truetype");font-weight:700;font-style:normal;font-display:block}@font-face{font-family:KaTeX_Fraktur;src:url(/_next/static/media/KaTeX_Fraktur-Regular.d3c882a6.woff2) format("woff2"),url(/_next/static/media/KaTeX_Fraktur-Regular.7c187121.woff) format("woff"),url(/_next/static/media/KaTeX_Fraktur-Regular.ed38e79f.ttf) format("truetype");font-weight:400;font-style:normal;font-display:block}@font-face{font-family:KaTeX_Main;src:url(/_next/static/media/KaTeX_Main-Bold.c3fb5ac2.woff2) format("woff2"),url(/_next/static/media/KaTeX_Main-Bold.d181c465.woff) format("woff"),url(/_next/static/media/KaTeX_Main-Bold.b74a1a8b.ttf) format("truetype");font-weight:700;font-style:normal;font-display:block}@font-face{font-family:KaTeX_Main;src:url(/_next/static/media/KaTeX_Main-BoldItalic.6f2bb1df.woff2) format("woff2"),url(/_next/static/media/KaTeX_Main-BoldItalic.e3f82f9d.woff) format("woff"),url(/_next/static/media/KaTeX_Main-BoldItalic.70d8b0a5.ttf) format("truetype");font-weight:700;font-style:italic;font-display:block}@font-face{font-family:KaTeX_Main;src:url(/_next/static/media/KaTeX_Main-Italic.8916142b.woff2) format("woff2"),url(/_next/static/media/KaTeX_Main-Italic.9024d815.woff) format("woff"),url(/_next/static/media/KaTeX_Main-Italic.47373d1e.ttf) format("truetype");font-weight:400;font-style:italic;font-display:block}@font-face{font-family:KaTeX_Main;src:url(/_next/static/media/KaTeX_Main-Regular.0462f03b.woff2) format("woff2"),url(/_next/static/media/KaTeX_Main-Regular.7f51fe03.woff) format("woff"),url(/_next/static/media/KaTeX_Main-Regular.b7f8fe9b.ttf) format("truetype");font-weight:400;font-style:normal;font-display:block}@font-face{font-family:KaTeX_Math;src:url(/_next/static/media/KaTeX_Math-BoldItalic.572d331f.woff2) format("woff2"),url(/_next/static/media/KaTeX_Math-BoldItalic.f1035d8d.woff) format("woff"),url(/_next/static/media/KaTeX_Math-BoldItalic.a879cf83.ttf) format("truetype");font-weight:700;font-style:italic;font-display:block}@font-face{font-family:KaTeX_Math;src:url(/_next/static/media/KaTeX_Math-Italic.f28c23ac.woff2) format("woff2"),url(/_next/static/media/KaTeX_Math-Italic.5295ba48.woff) format("woff"),url(/_next/static/media/KaTeX_Math-Italic.939bc644.ttf) format("truetype");font-weight:400;font-style:italic;font-display:block}@font-face{font-family:"KaTeX_SansSerif";src:url(/_next/static/media/KaTeX_SansSerif-Bold.8c5b5494.woff2) format("woff2"),url(/_next/static/media/KaTeX_SansSerif-Bold.bf59d231.woff) format("woff"),url(/_next/static/media/KaTeX_SansSerif-Bold.94e1e8dc.ttf) format("truetype");font-weight:700;font-style:normal;font-display:block}@font-face{font-family:"KaTeX_SansSerif";src:url(/_next/static/media/KaTeX_SansSerif-Italic.3b1e59b3.woff2) format("woff2"),url(/_next/static/media/KaTeX_SansSerif-Italic.7c9bc82b.woff) format("woff"),url(/_next/static/media/KaTeX_SansSerif-Italic.b4c20c84.ttf) format("truetype");font-weight:400;font-style:italic;font-display:block}@font-face{font-family:"KaTeX_SansSerif";src:url(/_next/static/media/KaTeX_SansSerif-Regular.ba21ed5f.woff2) format("woff2"),url(/_next/static/media/KaTeX_SansSerif-Regular.74048478.woff) format("woff"),url(/_next/static/media/KaTeX_SansSerif-Regular.d4d7ba48.ttf) format("truetype");font-weight:400;font-style:normal;font-display:block}@font-face{font-family:KaTeX_Script;src:url(/_next/static/media/KaTeX_Script-Regular.03e9641d.woff2) format("woff2"),url(/_next/static/media/KaTeX_Script-Regular.07505710.woff) format("woff"),url(/_next/static/media/KaTeX_Script-Regular.fe9cbbe1.ttf) format("truetype");font-weight:400;font-style:normal;font-display:block}@font-face{font-family:KaTeX_Size1;src:url(/_next/static/media/KaTeX_Size1-Regular.eae34984.woff2) format("woff2"),url(/_next/static/media/KaTeX_Size1-Regular.e1e279cb.woff) format("woff"),url(/_next/static/media/KaTeX_Size1-Regular.fabc004a.ttf) format("truetype");font-weight:400;font-style:normal;font-display:block}@font-face{font-family:KaTeX_Size2;src:url(/_next/static/media/KaTeX_Size2-Regular.5916a24f.woff2) format("woff2"),url(/_next/static/media/KaTeX_Size2-Regular.57727022.woff) format("woff"),url(/_next/static/media/KaTeX_Size2-Regular.d6b476ec.ttf) format("truetype");font-weight:400;font-style:normal;font-display:block}@font-face{font-family:KaTeX_Size3;src:url(/_next/static/media/KaTeX_Size3-Regular.b4230e7e.woff2) format("woff2"),url(/_next/static/media/KaTeX_Size3-Regular.9acaf01c.woff) format("woff"),url(/_next/static/media/KaTeX_Size3-Regular.a144ef58.ttf) format("truetype");font-weight:400;font-style:normal;font-display:block}@font-face{font-family:KaTeX_Size4;src:url(/_next/static/media/KaTeX_Size4-Regular.10d95fd3.woff2) format("woff2"),url(/_next/static/media/KaTeX_Size4-Regular.7a996c9d.woff) format("woff"),url(/_next/static/media/KaTeX_Size4-Regular.fbccdabe.ttf) format("truetype");font-weight:400;font-style:normal;font-display:block}@font-face{font-family:KaTeX_Typewriter;src:url(/_next/static/media/KaTeX_Typewriter-Regular.a8709e36.woff2) format("woff2"),url(/_next/static/media/KaTeX_Typewriter-Regular.6258592b.woff) format("woff"),url(/_next/static/media/KaTeX_Typewriter-Regular.d97aaf4a.ttf) format("truetype");font-weight:400;font-style:normal;font-display:block}.katex{font:normal 1.21em KaTeX_Main,Times New Roman,serif;line-height:1.2;text-indent:0;text-rendering:auto}.katex *{-ms-high-contrast-adjust:none!important;border-color:currentColor}.katex .katex-version:after{content:"0.16.27"}.katex .katex-mathml{position:absolute;clip:rect(1px,1px,1px,1px);padding:0;border:0;height:1px;width:1px;overflow:hidden}.katex .katex-html>.newline{display:block}.katex .base{position:relative;white-space:nowrap;width:-moz-min-content;width:min-content}.katex .base,.katex .strut{display:inline-block}.katex .textbf{font-weight:700}.katex .textit{font-style:italic}.katex .textrm{font-family:KaTeX_Main}.katex .textsf{font-family:KaTeX_SansSerif}.katex .texttt{font-family:KaTeX_Typewriter}.katex .mathnormal{font-family:KaTeX_Math;font-style:italic}.katex .mathit{font-family:KaTeX_Main;font-style:italic}.katex .mathrm{font-style:normal}.katex .mathbf{font-family:KaTeX_Main;font-weight:700}.katex .boldsymbol{font-family:KaTeX_Math;font-weight:700;font-style:italic}.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{display:inline-table;table-layout:fixed;border-collapse:collapse}.katex .vlist-r{display:table-row}.katex .vlist{display:table-cell;vertical-align:bottom;position:relative}.katex .vlist>span{display:block;height:0;position:relative}.katex .vlist>span>span{display:inline-block}.katex .vlist>span>.pstrut{overflow:hidden;width:0}.katex .vlist-t2{margin-right:-2px}.katex .vlist-s{display:table-cell;vertical-align:bottom;font-size:1px;width:2px;min-width:2px}.katex .vbox{display:inline-flex;flex-direction:column;align-items:baseline}.katex .hbox{width:100%}.katex .hbox,.katex .thinbox{display:inline-flex;flex-direction:row}.katex .thinbox{width:0;max-width:0}.katex .msupsub{text-align:left}.katex .mfrac>span>span{text-align:center}.katex .mfrac .frac-line{display:inline-block;width:100%;border-bottom-style:solid}.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 .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{display:inline-block;border:0 solid;position:relative}.katex .hline,.katex .overline .overline-line,.katex .underline .underline-line{display:inline-block;width:100%;border-bottom-style:solid}.katex .hdashline{display:inline-block;width:100%;border-bottom-style:dashed}.katex .sqrt>.root{margin-left:.2777777778em;margin-right:-.5555555556em}.katex .fontsize-ensurer.reset-size1.size1,.katex .sizing.reset-size1.size1{font-size:1em}.katex .fontsize-ensurer.reset-size1.size2,.katex .sizing.reset-size1.size2{font-size:1.2em}.katex .fontsize-ensurer.reset-size1.size3,.katex .sizing.reset-size1.size3{font-size:1.4em}.katex .fontsize-ensurer.reset-size1.size4,.katex .sizing.reset-size1.size4{font-size:1.6em}.katex .fontsize-ensurer.reset-size1.size5,.katex .sizing.reset-size1.size5{font-size:1.8em}.katex .fontsize-ensurer.reset-size1.size6,.katex .sizing.reset-size1.size6{font-size:2em}.katex .fontsize-ensurer.reset-size1.size7,.katex .sizing.reset-size1.size7{font-size:2.4em}.katex .fontsize-ensurer.reset-size1.size8,.katex .sizing.reset-size1.size8{font-size:2.88em}.katex .fontsize-ensurer.reset-size1.size9,.katex .sizing.reset-size1.size9{font-size:3.456em}.katex .fontsize-ensurer.reset-size1.size10,.katex .sizing.reset-size1.size10{font-size:4.148em}.katex .fontsize-ensurer.reset-size1.size11,.katex .sizing.reset-size1.size11{font-size:4.976em}.katex .fontsize-ensurer.reset-size2.size1,.katex .sizing.reset-size2.size1{font-size:.8333333333em}.katex .fontsize-ensurer.reset-size2.size2,.katex .sizing.reset-size2.size2{font-size:1em}.katex .fontsize-ensurer.reset-size2.size3,.katex .sizing.reset-size2.size3{font-size:1.1666666667em}.katex .fontsize-ensurer.reset-size2.size4,.katex .sizing.reset-size2.size4{font-size:1.3333333333em}.katex .fontsize-ensurer.reset-size2.size5,.katex .sizing.reset-size2.size5{font-size:1.5em}.katex .fontsize-ensurer.reset-size2.size6,.katex .sizing.reset-size2.size6{font-size:1.6666666667em}.katex .fontsize-ensurer.reset-size2.size7,.katex .sizing.reset-size2.size7{font-size:2em}.katex .fontsize-ensurer.reset-size2.size8,.katex .sizing.reset-size2.size8{font-size:2.4em}.katex .fontsize-ensurer.reset-size2.size9,.katex .sizing.reset-size2.size9{font-size:2.88em}.katex .fontsize-ensurer.reset-size2.size10,.katex .sizing.reset-size2.size10{font-size:3.4566666667em}.katex .fontsize-ensurer.reset-size2.size11,.katex .sizing.reset-size2.size11{font-size:4.1466666667em}.katex .fontsize-ensurer.reset-size3.size1,.katex .sizing.reset-size3.size1{font-size:.7142857143em}.katex .fontsize-ensurer.reset-size3.size2,.katex .sizing.reset-size3.size2{font-size:.8571428571em}.katex .fontsize-ensurer.reset-size3.size3,.katex .sizing.reset-size3.size3{font-size:1em}.katex .fontsize-ensurer.reset-size3.size4,.katex .sizing.reset-size3.size4{font-size:1.1428571429em}.katex .fontsize-ensurer.reset-size3.size5,.katex .sizing.reset-size3.size5{font-size:1.2857142857em}.katex .fontsize-ensurer.reset-size3.size6,.katex .sizing.reset-size3.size6{font-size:1.4285714286em}.katex .fontsize-ensurer.reset-size3.size7,.katex .sizing.reset-size3.size7{font-size:1.7142857143em}.katex .fontsize-ensurer.reset-size3.size8,.katex .sizing.reset-size3.size8{font-size:2.0571428571em}.katex .fontsize-ensurer.reset-size3.size9,.katex .sizing.reset-size3.size9{font-size:2.4685714286em}.katex .fontsize-ensurer.reset-size3.size10,.katex .sizing.reset-size3.size10{font-size:2.9628571429em}.katex .fontsize-ensurer.reset-size3.size11,.katex .sizing.reset-size3.size11{font-size:3.5542857143em}.katex .fontsize-ensurer.reset-size4.size1,.katex .sizing.reset-size4.size1{font-size:.625em}.katex .fontsize-ensurer.reset-size4.size2,.katex .sizing.reset-size4.size2{font-size:.75em}.katex .fontsize-ensurer.reset-size4.size3,.katex .sizing.reset-size4.size3{font-size:.875em}.katex .fontsize-ensurer.reset-size4.size4,.katex .sizing.reset-size4.size4{font-size:1em}.katex .fontsize-ensurer.reset-size4.size5,.katex .sizing.reset-size4.size5{font-size:1.125em}.katex .fontsize-ensurer.reset-size4.size6,.katex .sizing.reset-size4.size6{font-size:1.25em}.katex .fontsize-ensurer.reset-size4.size7,.katex .sizing.reset-size4.size7{font-size:1.5em}.katex .fontsize-ensurer.reset-size4.size8,.katex .sizing.reset-size4.size8{font-size:1.8em}.katex .fontsize-ensurer.reset-size4.size9,.katex .sizing.reset-size4.size9{font-size:2.16em}.katex .fontsize-ensurer.reset-size4.size10,.katex .sizing.reset-size4.size10{font-size:2.5925em}.katex .fontsize-ensurer.reset-size4.size11,.katex .sizing.reset-size4.size11{font-size:3.11em}.katex .fontsize-ensurer.reset-size5.size1,.katex .sizing.reset-size5.size1{font-size:.5555555556em}.katex .fontsize-ensurer.reset-size5.size2,.katex .sizing.reset-size5.size2{font-size:.6666666667em}.katex .fontsize-ensurer.reset-size5.size3,.katex .sizing.reset-size5.size3{font-size:.7777777778em}.katex .fontsize-ensurer.reset-size5.size4,.katex .sizing.reset-size5.size4{font-size:.8888888889em}.katex .fontsize-ensurer.reset-size5.size5,.katex .sizing.reset-size5.size5{font-size:1em}.katex .fontsize-ensurer.reset-size5.size6,.katex .sizing.reset-size5.size6{font-size:1.1111111111em}.katex .fontsize-ensurer.reset-size5.size7,.katex .sizing.reset-size5.size7{font-size:1.3333333333em}.katex .fontsize-ensurer.reset-size5.size8,.katex .sizing.reset-size5.size8{font-size:1.6em}.katex .fontsize-ensurer.reset-size5.size9,.katex .sizing.reset-size5.size9{font-size:1.92em}.katex .fontsize-ensurer.reset-size5.size10,.katex .sizing.reset-size5.size10{font-size:2.3044444444em}.katex .fontsize-ensurer.reset-size5.size11,.katex .sizing.reset-size5.size11{font-size:2.7644444444em}.katex .fontsize-ensurer.reset-size6.size1,.katex .sizing.reset-size6.size1{font-size:.5em}.katex .fontsize-ensurer.reset-size6.size2,.katex .sizing.reset-size6.size2{font-size:.6em}.katex .fontsize-ensurer.reset-size6.size3,.katex .sizing.reset-size6.size3{font-size:.7em}.katex .fontsize-ensurer.reset-size6.size4,.katex .sizing.reset-size6.size4{font-size:.8em}.katex .fontsize-ensurer.reset-size6.size5,.katex .sizing.reset-size6.size5{font-size:.9em}.katex .fontsize-ensurer.reset-size6.size6,.katex .sizing.reset-size6.size6{font-size:1em}.katex .fontsize-ensurer.reset-size6.size7,.katex .sizing.reset-size6.size7{font-size:1.2em}.katex .fontsize-ensurer.reset-size6.size8,.katex .sizing.reset-size6.size8{font-size:1.44em}.katex .fontsize-ensurer.reset-size6.size9,.katex .sizing.reset-size6.size9{font-size:1.728em}.katex .fontsize-ensurer.reset-size6.size10,.katex .sizing.reset-size6.size10{font-size:2.074em}.katex .fontsize-ensurer.reset-size6.size11,.katex .sizing.reset-size6.size11{font-size:2.488em}.katex .fontsize-ensurer.reset-size7.size1,.katex .sizing.reset-size7.size1{font-size:.4166666667em}.katex .fontsize-ensurer.reset-size7.size2,.katex .sizing.reset-size7.size2{font-size:.5em}.katex .fontsize-ensurer.reset-size7.size3,.katex .sizing.reset-size7.size3{font-size:.5833333333em}.katex .fontsize-ensurer.reset-size7.size4,.katex .sizing.reset-size7.size4{font-size:.6666666667em}.katex .fontsize-ensurer.reset-size7.size5,.katex .sizing.reset-size7.size5{font-size:.75em}.katex .fontsize-ensurer.reset-size7.size6,.katex .sizing.reset-size7.size6{font-size:.8333333333em}.katex .fontsize-ensurer.reset-size7.size7,.katex .sizing.reset-size7.size7{font-size:1em}.katex .fontsize-ensurer.reset-size7.size8,.katex .sizing.reset-size7.size8{font-size:1.2em}.katex .fontsize-ensurer.reset-size7.size9,.katex .sizing.reset-size7.size9{font-size:1.44em}.katex .fontsize-ensurer.reset-size7.size10,.katex .sizing.reset-size7.size10{font-size:1.7283333333em}.katex .fontsize-ensurer.reset-size7.size11,.katex .sizing.reset-size7.size11{font-size:2.0733333333em}.katex .fontsize-ensurer.reset-size8.size1,.katex .sizing.reset-size8.size1{font-size:.3472222222em}.katex .fontsize-ensurer.reset-size8.size2,.katex .sizing.reset-size8.size2{font-size:.4166666667em}.katex .fontsize-ensurer.reset-size8.size3,.katex .sizing.reset-size8.size3{font-size:.4861111111em}.katex .fontsize-ensurer.reset-size8.size4,.katex .sizing.reset-size8.size4{font-size:.5555555556em}.katex .fontsize-ensurer.reset-size8.size5,.katex .sizing.reset-size8.size5{font-size:.625em}.katex .fontsize-ensurer.reset-size8.size6,.katex .sizing.reset-size8.size6{font-size:.6944444444em}.katex .fontsize-ensurer.reset-size8.size7,.katex .sizing.reset-size8.size7{font-size:.8333333333em}.katex .fontsize-ensurer.reset-size8.size8,.katex .sizing.reset-size8.size8{font-size:1em}.katex .fontsize-ensurer.reset-size8.size9,.katex .sizing.reset-size8.size9{font-size:1.2em}.katex .fontsize-ensurer.reset-size8.size10,.katex .sizing.reset-size8.size10{font-size:1.4402777778em}.katex .fontsize-ensurer.reset-size8.size11,.katex .sizing.reset-size8.size11{font-size:1.7277777778em}.katex .fontsize-ensurer.reset-size9.size1,.katex .sizing.reset-size9.size1{font-size:.2893518519em}.katex .fontsize-ensurer.reset-size9.size2,.katex .sizing.reset-size9.size2{font-size:.3472222222em}.katex .fontsize-ensurer.reset-size9.size3,.katex .sizing.reset-size9.size3{font-size:.4050925926em}.katex .fontsize-ensurer.reset-size9.size4,.katex .sizing.reset-size9.size4{font-size:.462962963em}.katex .fontsize-ensurer.reset-size9.size5,.katex .sizing.reset-size9.size5{font-size:.5208333333em}.katex .fontsize-ensurer.reset-size9.size6,.katex .sizing.reset-size9.size6{font-size:.5787037037em}.katex .fontsize-ensurer.reset-size9.size7,.katex .sizing.reset-size9.size7{font-size:.6944444444em}.katex .fontsize-ensurer.reset-size9.size8,.katex .sizing.reset-size9.size8{font-size:.8333333333em}.katex .fontsize-ensurer.reset-size9.size9,.katex .sizing.reset-size9.size9{font-size:1em}.katex .fontsize-ensurer.reset-size9.size10,.katex .sizing.reset-size9.size10{font-size:1.2002314815em}.katex .fontsize-ensurer.reset-size9.size11,.katex .sizing.reset-size9.size11{font-size:1.4398148148em}.katex .fontsize-ensurer.reset-size10.size1,.katex .sizing.reset-size10.size1{font-size:.2410800386em}.katex .fontsize-ensurer.reset-size10.size2,.katex .sizing.reset-size10.size2{font-size:.2892960463em}.katex .fontsize-ensurer.reset-size10.size3,.katex .sizing.reset-size10.size3{font-size:.337512054em}.katex .fontsize-ensurer.reset-size10.size4,.katex .sizing.reset-size10.size4{font-size:.3857280617em}.katex .fontsize-ensurer.reset-size10.size5,.katex .sizing.reset-size10.size5{font-size:.4339440694em}.katex .fontsize-ensurer.reset-size10.size6,.katex .sizing.reset-size10.size6{font-size:.4821600771em}.katex .fontsize-ensurer.reset-size10.size7,.katex .sizing.reset-size10.size7{font-size:.5785920926em}.katex .fontsize-ensurer.reset-size10.size8,.katex .sizing.reset-size10.size8{font-size:.6943105111em}.katex .fontsize-ensurer.reset-size10.size9,.katex .sizing.reset-size10.size9{font-size:.8331726133em}.katex .fontsize-ensurer.reset-size10.size10,.katex .sizing.reset-size10.size10{font-size:1em}.katex .fontsize-ensurer.reset-size10.size11,.katex .sizing.reset-size10.size11{font-size:1.1996142719em}.katex .fontsize-ensurer.reset-size11.size1,.katex .sizing.reset-size11.size1{font-size:.2009646302em}.katex .fontsize-ensurer.reset-size11.size2,.katex .sizing.reset-size11.size2{font-size:.2411575563em}.katex .fontsize-ensurer.reset-size11.size3,.katex .sizing.reset-size11.size3{font-size:.2813504823em}.katex .fontsize-ensurer.reset-size11.size4,.katex .sizing.reset-size11.size4{font-size:.3215434084em}.katex .fontsize-ensurer.reset-size11.size5,.katex .sizing.reset-size11.size5{font-size:.3617363344em}.katex .fontsize-ensurer.reset-size11.size6,.katex .sizing.reset-size11.size6{font-size:.4019292605em}.katex .fontsize-ensurer.reset-size11.size7,.katex .sizing.reset-size11.size7{font-size:.4823151125em}.katex .fontsize-ensurer.reset-size11.size8,.katex .sizing.reset-size11.size8{font-size:.578778135em}.katex .fontsize-ensurer.reset-size11.size9,.katex .sizing.reset-size11.size9{font-size:.6945337621em}.katex .fontsize-ensurer.reset-size11.size10,.katex .sizing.reset-size11.size10{font-size:.8336012862em}.katex .fontsize-ensurer.reset-size11.size11,.katex .sizing.reset-size11.size11{font-size:1em}.katex .delimsizing.size1{font-family:KaTeX_Size1}.katex .delimsizing.size2{font-family:KaTeX_Size2}.katex .delimsizing.size3{font-family:KaTeX_Size3}.katex .delimsizing.size4{font-family:KaTeX_Size4}.katex .delimsizing.mult .delim-size1>span{font-family:KaTeX_Size1}.katex .delimsizing.mult .delim-size4>span{font-family:KaTeX_Size4}.katex .nulldelimiter{display:inline-block;width:.12em}.katex .delimcenter,.katex .op-symbol{position:relative}.katex .op-symbol.small-op{font-family:KaTeX_Size1}.katex .op-symbol.large-op{font-family:KaTeX_Size2}.katex .accent>.vlist-t,.katex .op-limits>.vlist-t{text-align:center}.katex .accent .accent-body{position:relative}.katex .accent .accent-body:not(.accent-full){width:0}.katex .overlay{display:block}.katex .mtable .vertical-separator{display:inline-block;min-width:1px}.katex .mtable .arraycolsep{display:inline-block}.katex .mtable .col-align-c>.vlist-t{text-align:center}.katex .mtable .col-align-l>.vlist-t{text-align:left}.katex .mtable .col-align-r>.vlist-t{text-align:right}.katex .svg-align{text-align:left}.katex svg{display:block;position:absolute;width:100%;height:inherit;fill:currentColor;stroke:currentColor;fill-rule:nonzero;fill-opacity:1;stroke-width:1;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:4;stroke-dasharray:none;stroke-dashoffset:0;stroke-opacity:1}.katex svg path{stroke:none}.katex img{border-style:none;min-width:0;min-height:0;max-width:none;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{position:absolute;left:0;width:50.2%;overflow:hidden}.katex .halfarrow-right{position:absolute;right:0;width:50.2%;overflow:hidden}.katex .brace-left{position:absolute;left:0;width:25.1%;overflow:hidden}.katex .brace-center{position:absolute;left:25%;width:50%;overflow:hidden}.katex .brace-right{position:absolute;right:0;width:25.1%;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{counter-increment:katexEqnNo;content:"(" counter(katexEqnNo) ")"}.katex .mml-eqn-num:before{counter-increment:mmlEqnNo;content:"(" counter(mmlEqnNo) ")"}.katex .mtr-glue{width:50%}.katex .cd-vert-arrow{display:inline-block;position:relative}.katex .cd-label-left{display:inline-block;position:absolute;right:calc(50% + .3em);text-align:left}.katex .cd-label-right{display:inline-block;position:absolute;left:calc(50% + .3em);text-align:right}.katex-display{display:block;margin:1em 0;text-align:center}.katex-display>.katex{display:block;text-align:center;white-space:nowrap}.katex-display>.katex>.katex-html{display:block;position:relative}.katex-display>.katex>.katex-html>.tag{position:absolute;right:0}.katex-display.leqno>.katex>.katex-html>.tag{left:0;right:auto}.katex-display.fleqn>.katex{text-align:left;padding-left:2em}body{counter-reset:katexEqnNo mmlEqnNo}