/*! tailwindcss v4.0.5 | MIT License | https://tailwindcss.com */.remark-code-title{border-radius:var(--radius-xs);background-color:var(--color-gray-700);padding-inline:calc(var(--spacing)*5);padding-block:calc(var(--spacing)*3);font-family:var(--font-mono);font-size:var(--text-sm);line-height:var(--tw-leading,var(--text-sm--line-height));--tw-font-weight:var(--font-weight-bold);font-weight:var(--font-weight-bold);color:var(--color-gray-200)}.remark-code-title:where(.dark,.dark *){background-color:var(--color-gray-800)}.remark-code-title+div>pre{margin-top:calc(var(--spacing)*0);border-top-left-radius:0;border-top-right-radius:0}.code-highlight{float:left;min-width:100%}.code-line{margin-inline:calc(var(--spacing)*-4);padding-right:calc(var(--spacing)*4);padding-left:calc(var(--spacing)*4);border-left:4px var(--tw-border-style);border-color:#0000;display:block}.code-line.inserted{background-color:color-mix(in oklab,var(--color-green-500)20%,transparent)}.code-line.deleted{background-color:color-mix(in oklab,var(--color-red-500)20%,transparent)}.highlight-line{margin-inline:calc(var(--spacing)*-4);border-left-style:var(--tw-border-style);border-left-width:4px;border-color:var(--color-primary-500);background-color:color-mix(in oklab,var(--color-gray-700)50%,transparent)}.line-number:before{margin-right:calc(var(--spacing)*4);margin-left:calc(var(--spacing)*-2);width:calc(var(--spacing)*4);text-align:right;color:var(--color-gray-400);content:attr(line);display:inline-block}.token.cdata,.token.comment,.token.prolog{color:#637777;font-style:italic}.token.punctuation{color:#c792ea}.namespace{color:#b2ccd6}.token.deleted{color:#ef53508f;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}@property --tw-font-weight{syntax:"*";inherits:false}@property --tw-border-style{syntax:"*";inherits:false;initial-value:solid}.article-page{max-width:1120px;margin:0 auto;padding:36px 0 88px;color:#19251e}.article-icon{width:18px;height:18px;flex-shrink:0}.article-back{display:inline-flex;align-items:center;gap:9px;color:#647069;font-size:14px;font-weight:500;transition:color .18s}.article-back:hover{color:#3477fe}.article-header{max-width:920px;padding:44px 0 42px}.article-meta{display:flex;align-items:center;flex-wrap:wrap;gap:12px 20px;margin-bottom:23px;color:#647069;font-size:13px;font-weight:500}.article-category{display:inline-flex;align-items:center;padding:6px 12px;border:1px solid #dbe4dc;border-radius:6px;color:#3f5147;background:#f0f4ee}.article-reading-time{display:inline-flex;align-items:center;gap:6px}.article-reading-time .article-icon{width:15px;height:15px}.article-header h1{margin:0;font-size:clamp(36px,4.2vw,58px);font-weight:600;line-height:1.1;letter-spacing:-2px;text-wrap:balance}.article-summary{max-width:770px;margin:24px 0 0;color:#667069;font-size:19px;line-height:1.6}.article-authors{display:flex;flex-wrap:wrap;gap:20px;margin-top:28px}.article-author{display:flex;align-items:center;gap:11px}.article-author-avatar{display:grid;place-items:center;width:42px;height:42px;overflow:hidden;border:1px solid #e2e6e1;border-radius:50%;background:#fff;color:#3477fe;font-size:14px;font-weight:700}.article-author-avatar img{width:30px;height:30px;object-fit:contain}.article-author-name,.article-author-role{display:block}.article-author-name{font-size:14px;font-weight:600}.article-author-role{margin-top:2px;color:#778078;font-size:12px}.article-artwork{height:360px;overflow:hidden;border:1px solid #e4e8e1;border-radius:14px}.article-artwork .post-artwork{height:100%;aspect-ratio:auto}.article-reading-layout{display:grid;grid-template-columns:minmax(0,720px);justify-content:center;gap:64px;margin-top:64px}.article-reading-layout.article-has-toc{grid-template-columns:240px minmax(0,720px);justify-content:start}.article-sidebar{min-width:0}.article-desktop-toc{position:sticky;top:112px}.article-toc-heading{display:flex;align-items:center;gap:8px;margin-bottom:21px;font-size:13px;font-weight:600}.article-sidebar ol{display:grid;gap:3px;max-height:calc(100svh - 275px);margin:0;padding:0;overflow-y:auto;scrollbar-width:thin;scrollbar-color:#d7ddd6 transparent;list-style:none}.article-sidebar li a{display:flex;align-items:baseline;gap:10px;padding:8px 10px 8px 0;border-radius:4px;color:#778078;font-size:12px;line-height:1.5;transition:color .18s}.article-sidebar li a:hover,.article-sidebar li a[aria-current=location]{color:#245ed2}.article-toc-number{min-width:19px;color:#929b92;font-size:10px;font-variant-numeric:tabular-nums}.article-toc-top{display:flex;align-items:center;justify-content:space-between;margin-top:24px;padding-top:19px;border-top:1px solid #e4e8e1;color:#647069;font-size:12px}.article-mobile-toc{display:none}.article-main-column{min-width:0}.article-body.prose{max-width:none;color:#4b5750;font-size:17px;line-height:1.85;overflow-wrap:break-word;--tw-prose-body:#4b5750;--tw-prose-headings:#19251e;--tw-prose-links:#245ed2;--tw-prose-bold:#19251e;--tw-prose-counters:#647069;--tw-prose-bullets:#a7b1a8;--tw-prose-hr:#e2e7df;--tw-prose-quotes:#3e5145;--tw-prose-quote-borders:#3477fe;--tw-prose-code:#245ed2}.article-body.prose>:first-child{margin-top:0}.article-body.prose h2{margin-top:2.2em;margin-bottom:.8em;font-size:28px;font-weight:600;line-height:1.3;letter-spacing:-.6px}.article-body.prose h3{margin-top:1.8em;font-size:22px;font-weight:600;line-height:1.4;letter-spacing:-.3px}.article-body.prose h2,.article-body.prose h3,.article-body.prose h4{scroll-margin-top:110px}.article-body.prose ol,.article-body.prose p,.article-body.prose ul{margin-top:1.15em;margin-bottom:1.15em}.article-body.prose li{padding-left:.25em}.article-body.prose a{text-decoration-thickness:1px;text-underline-offset:3px}.article-body.prose a:hover{color:#19251e}.article-body.prose strong{font-weight:600}.article-body.prose blockquote{margin:30px 0;padding:16px 24px;border-radius:0 8px 8px 0;background:#f0f4ee;font-style:normal}.article-body.prose blockquote p{margin:.4em 0}.article-body.prose hr{margin:40px 0}.article-body.prose img{height:auto;border-radius:10px}.article-body.prose pre{border:1px solid #dfe5dc;border-radius:10px;font-size:13px}.article-body.prose :not(pre)>code{padding:3px 6px;border-radius:4px;background:#edf2eb;font-size:.85em}.article-body.prose :not(pre)>code:after,.article-body.prose :not(pre)>code:before{content:none}.article-body.prose table{font-size:14px;line-height:1.6}.article-body.prose th{padding:13px 14px;background:#f0f4ee;color:#19251e}.article-body.prose td{padding:13px 14px;border-color:#e4e8e1}.article-tags{margin-top:44px;padding-top:28px;border-top:1px solid #e1e6de}.article-tags>span{color:#778078;font-size:12px}.article-tags>div{display:flex;flex-wrap:wrap;gap:8px;margin-top:12px}.article-tags a{padding:6px 11px;border:1px solid #dfe5dc;border-radius:5px;color:#647069;font-size:12px}.article-tags a:hover{border-color:#3477fe;color:#245ed2}.article-build-cta{margin-top:44px;padding:32px;border:1px solid #dde5d8;border-radius:12px;background:#eff4e9}.article-cta-eyebrow{color:#67755d;font-size:10px;font-weight:600;letter-spacing:1.3px}.article-build-cta h2{max-width:440px;margin:14px 0 10px;font-size:29px;font-weight:600;line-height:1.2;letter-spacing:-.7px}.article-build-cta p{max-width:440px;margin:0;color:#65715e;font-size:15px;line-height:1.6}.article-cta-link{display:inline-flex;align-items:center;gap:16px;margin-top:24px;padding:12px 17px;border-radius:6px;background:#19251e;color:#fff;font-size:13px;font-weight:500;transition:background .18s}.article-cta-link:hover{background:#3477fe}.article-comments{margin-top:40px;scroll-margin-top:110px}.article-related{margin-top:80px;padding-top:36px;border-top:1px solid #dfe5dc}.article-related-heading{display:flex;align-items:center;justify-content:space-between;gap:20px;margin-bottom:24px}.article-related-heading h2{margin:0;font-size:30px;font-weight:600;letter-spacing:-.8px}.article-related-heading>a{display:inline-flex;align-items:center;gap:8px;font-size:13px}.article-related-grid{display:grid;grid-template-columns:repeat(2,minmax(0,1fr));gap:20px}.article-related-card{display:flex;flex-direction:column;align-items:flex-start;padding:26px;border:1px solid #dfe5dc;border-radius:10px;transition:background .18s,border-color .18s}.article-related-card:hover{border-color:#afc3ec;background:#f0f4fa}.article-related-label{display:flex;align-items:center;gap:8px;color:#778078;font-size:12px}.article-related-label .article-icon{width:14px;height:14px}.article-related-card h3{margin:18px 0 24px;font-size:22px;font-weight:600;line-height:1.35;letter-spacing:-.4px}.article-related-read{display:flex;align-items:center;gap:8px;margin-top:auto;color:#245ed2;font-size:13px}.article-page a:focus-visible,.article-page summary:focus-visible{outline:2px solid #3477fe;outline-offset:5px}@media (max-width:1050px){.article-reading-layout.article-has-toc{grid-template-columns:200px minmax(0,1fr);gap:40px}}@media (max-width:800px){.article-page{padding-top:24px;padding-bottom:56px}.article-header{padding-top:32px}.article-header h1{font-size:42px;letter-spacing:-1.4px}.article-summary{font-size:17px}.article-artwork{height:280px}.article-reading-layout,.article-reading-layout.article-has-toc{grid-template-columns:minmax(0,720px);justify-content:center;gap:30px;margin-top:36px}.article-desktop-toc{display:none}.article-mobile-toc{display:block;padding:0 18px;border:1px solid #dfe5dc;border-radius:8px;background:#f3f5ef}.article-mobile-toc summary{display:flex;align-items:center;justify-content:space-between;padding:16px 0;cursor:pointer;list-style:none;font-size:14px;font-weight:500}.article-mobile-toc summary::-webkit-details-marker{display:none}.article-mobile-toc summary>span{display:flex;align-items:center;gap:8px}.article-mobile-toc[open] summary>.article-icon{transform:rotate(180deg)}.article-mobile-toc ol{max-height:340px;padding-bottom:14px}.article-mobile-toc li a{font-size:13px}}@media (max-width:480px){.article-header{padding-bottom:30px}.article-meta{gap:10px 14px;font-size:12px}.article-header h1{font-size:35px;letter-spacing:-1px}.article-summary{font-size:16px}.article-artwork{height:230px;border-radius:10px}.article-body.prose{font-size:16px;line-height:1.8}.article-body.prose h2{font-size:25px}.article-body.prose h3{font-size:21px}.article-build-cta{padding:26px 22px}.article-build-cta h2{font-size:26px}.article-related{margin-top:56px}.article-related-heading h2{font-size:26px}.article-related-grid{grid-template-columns:minmax(0,1fr);gap:14px}.article-related-card{padding:22px}}.dark .article-page{color:var(--ink)}.dark .article-author-role,.dark .article-back,.dark .article-build-cta p,.dark .article-meta,.dark .article-related-label,.dark .article-sidebar li a,.dark .article-summary,.dark .article-tags a,.dark .article-tags>span,.dark .article-toc-top{color:var(--muted)}.dark .article-body.prose blockquote,.dark .article-body.prose th,.dark .article-build-cta,.dark .article-category,.dark .article-mobile-toc{background:var(--soft);color:var(--ink)}.dark .article-artwork,.dark .article-author-avatar,.dark .article-body.prose pre,.dark .article-body.prose td,.dark .article-build-cta,.dark .article-category,.dark .article-mobile-toc,.dark .article-related,.dark .article-related-card,.dark .article-tags,.dark .article-tags a,.dark .article-toc-top{border-color:var(--line)}.dark .article-author-avatar{background:var(--surface)}.dark .article-body.prose{color:#bdc7bd;--tw-prose-body:#bdc7bd;--tw-prose-headings:#eff3ee;--tw-prose-links:#8fb3ff;--tw-prose-bold:#eff3ee;--tw-prose-counters:#a5b0a7;--tw-prose-bullets:#89998c;--tw-prose-hr:#344038;--tw-prose-quotes:#c6d3c8;--tw-prose-quote-borders:#8fb3ff;--tw-prose-code:#b4ccff}.dark .article-body.prose :not(pre)>code{background:#27362b;color:#b4ccff}.dark .article-back:hover,.dark .article-body.prose a,.dark .article-related-read,.dark .article-sidebar li a:hover,.dark .article-sidebar li a[aria-current=location],.dark .article-tags a:hover{color:#8fb3ff}.dark .article-body.prose a:hover{color:#eff3ee}.dark .article-related-card:hover{background:var(--soft);border-color:#7391ac}.dark .article-cta-eyebrow{color:#adc69c}.dark .article-cta-link{background:#3477fe}.dark .article-cta-link:hover{background:#205ee1}@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-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-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-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-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-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-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-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-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-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-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-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-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-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-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-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-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-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-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-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}.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:"0.16.21"}.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:-webkit-min-content;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}