.writing-tabs{margin:0 0 28px;border-bottom:1px solid var(--bd2);padding-bottom:14px}.writing-tabs,.writing-tabs>button{display:flex;align-items:center;gap:8px}.writing-tabs>button{padding:10px 18px;border:0;background:#0000;color:var(--dim);cursor:pointer;font:inherit;font-size:14px}.writing-tabs>button[aria-selected=true]{background:var(--panel);color:var(--blue)}.writing-tabs>button span{font:11px JetBrains Mono,monospace}.writing-feed-link{margin-left:auto;color:var(--dim);font-size:12px;text-decoration:none}.writing-layout{display:grid;grid-template-columns:220px minmax(0,1fr);gap:28px;align-items:start}.writing-filters{display:flex;flex-direction:column;gap:10px;padding:22px;background:var(--panel);position:sticky;top:100px;min-width:0;max-height:calc(100dvh / 1.15 - 124px);overflow-y:auto;scrollbar-width:thin;scrollbar-color:var(--bd2) #0000}.writing-filter-label,.writing-filters label{color:var(--dim);font-size:12px;margin-top:8px}.writing-filters label:first-child{margin-top:0}.writing-filters .likes-search{width:100%;min-width:0;padding:10px 12px;font-size:13px}.writing-month-button{display:flex;align-items:center;justify-content:space-between;gap:12px;width:100%;min-height:34px;border:0;background:#0000;padding:7px 10px;color:var(--dim);text-align:left;font:inherit;font-size:13px;cursor:pointer;border-radius:3px}.writing-month-button>span:last-child{font:11px JetBrains Mono,monospace;opacity:.7}.writing-month-button:hover{background:var(--inset)}.writing-timeline-all{color:var(--dim);padding:4px 0 8px;border:0;background:#0000;cursor:pointer;font:inherit;font-size:12px}.writing-timeline-hint{display:none}.writing-timeline-all[aria-pressed=true]{color:var(--blue)}.writing-timeline-year+.writing-timeline-year{margin-top:18px}.writing-timeline-year h3{margin:4px 0 8px;color:var(--mute);font:12px JetBrains Mono,monospace}.writing-timeline-months{list-style:none;padding:0 0 0 10px;margin:0 0 0 4px;border-left:1px solid var(--bd2)}.writing-timeline-months>li{margin:2px 0}.writing-month-button{position:relative;font-size:12px}.writing-month-button:before{content:"";position:absolute;left:-15px;top:calc(50% - 4px);width:8px;height:8px;border:2px solid var(--mute);border-radius:50%;background:var(--panel)}.writing-month-button[aria-pressed=true]{color:var(--blue);background:var(--inset)}.writing-month-button[aria-pressed=true]:before{background:var(--blue);border-color:var(--blue);box-shadow:0 0 0 3px var(--panel)}.writing-tag-list{display:flex;flex-wrap:wrap;gap:6px}.writing-tag-list button{font:inherit;font-size:11px;padding:5px 8px;border:1px solid var(--bd2);background:var(--inset);color:var(--dim);cursor:pointer}.writing-tag-list button[aria-pressed=true]{border-color:var(--blue);color:var(--blue)}.writing-clear{margin-top:8px;padding:8px;background:#0000;color:var(--blue);border:1px solid var(--bd2);cursor:pointer;font:inherit;font-size:12px}.writing-posts{min-width:0}.writing-result{margin:0 0 16px;font-size:12px;color:var(--dim)}.writing-post-list{display:grid;grid-template-columns:repeat(2,minmax(0,1fr));gap:18px}.writing-post-card{display:flex;flex-direction:column;min-width:0;text-decoration:none;color:inherit;background:var(--panel);overflow:hidden;border:0;transition:box-shadow .2s ease}.writing-post-card:hover{box-shadow:0 0 0 1px var(--bd2)}.writing-post-card--plain{display:block}.writing-post-cover-frame{width:100%;aspect-ratio:18/9;overflow:hidden}.writing-post-cover{display:block;width:100%;height:100%;object-fit:cover}.writing-post-card-body{flex:1 1;min-width:0;padding:22px 24px}.writing-post-meta{display:flex;flex-wrap:wrap;gap:10px;font-size:11px;color:var(--dim)}.writing-post-card h2{display:flex;align-items:baseline;justify-content:space-between;gap:12px;font-family:Shippori Mincho,"Noto Serif TC",serif;font-weight:500;font-size:23px;line-height:1.5;margin:12px 0 10px;overflow-wrap:anywhere}.writing-post-card h2>span{flex:none;color:var(--dim);font:16px system-ui}.writing-post-card p{display:-webkit-box;-webkit-line-clamp:2;-webkit-box-orient:vertical;overflow:hidden;font-size:13px;color:var(--dim);line-height:1.8;margin:0 0 14px}.writing-card-tags{display:flex;flex-wrap:wrap;gap:6px}.writing-card-tags>a,.writing-card-tags>span{padding:3px 7px;font-size:11px;color:var(--dim);background:var(--inset);text-decoration:none}.writing-thoughts-description{color:var(--dim);font-size:13px;margin:0 0 20px}.blog-article{min-width:0}.blog-article-header{margin:28px 0 36px}.blog-article-header h1{font-family:Shippori Mincho,"Noto Serif TC",serif;font-size:clamp(28px,4.5vw,44px);font-weight:500;line-height:1.45;margin:12px 0 16px;overflow-wrap:anywhere}.blog-article-header>p{color:var(--dim);font-size:15px;line-height:1.9;max-width:75ch;margin:0 0 28px}.blog-article-cover{display:block;width:100%;max-width:100%;max-height:360px;aspect-ratio:auto;height:auto;object-fit:cover;margin-inline:auto;background:var(--inset)}.blog-article-cover-frame{overflow:hidden}.blog-article-layout{display:grid;grid-template-columns:210px minmax(0,1fr);gap:clamp(28px,4vw,60px);align-items:start}.blog-article-sidebar{position:sticky;top:100px;min-width:0;max-height:calc(100dvh / 1.15 - 120px);overflow-y:auto;scrollbar-width:thin;padding-right:8px}.blog-article-meta{display:grid;gap:20px;margin:0}.blog-article-meta dt{color:var(--dim);font-size:11px;margin-bottom:7px}.blog-article-meta dd{margin:0;font-size:13px}.blog-pinned{margin-left:8px;color:var(--blue);font-size:11px}.blog-translations{display:flex;flex-wrap:wrap;gap:8px 12px;font-size:12px;margin-top:24px}.blog-translations>span{width:100%;color:var(--dim);font-size:11px}.blog-translations a{color:var(--blue);text-decoration:none}.blog-toc{margin-top:26px;border-top:1px solid var(--bd2);padding-top:18px}.blog-toc summary{cursor:pointer;color:var(--dim);font-size:12px}.blog-toc-position{float:right;font:10px JetBrains Mono,monospace;color:var(--mute);padding-top:3px}.blog-toc nav{position:relative;max-height:clamp(120px,calc(100dvh / 1.15 - 420px),440px);overflow-y:auto;scrollbar-width:thin;scrollbar-color:var(--bd2) #0000;padding-right:4px}.blog-toc ol{list-style:none;margin:12px 0 0;padding:0}.blog-toc li{margin:7px 0}.blog-toc a{display:block;color:var(--dim);font-size:12px;line-height:1.7;text-decoration:none;overflow-wrap:anywhere;padding:4px 7px;border-left:2px solid #0000;transition:color .15s ease,background .15s ease}.blog-toc a[aria-current=location]{color:var(--blue);background:var(--inset);border-left-color:var(--blue)}.blog-toc a:focus-visible,.blog-toc a:hover{color:var(--blue)}.blog-article-content{min-width:0}.blog-prose{color:var(--tx);font-size:16px;line-height:1.95;overflow-wrap:anywhere;min-width:0}.blog-prose>:first-child{margin-top:0}.blog-prose h2,.blog-prose h3,.blog-prose h4,.blog-prose h5,.blog-prose h6{font-weight:500;line-height:1.55;color:var(--tx);margin:2em 0 .8em;scroll-margin-top:100px}.blog-prose h2{font-family:Shippori Mincho,"Noto Serif TC",serif;font-size:28px;border-bottom:1px solid var(--bd2);padding-bottom:10px}.blog-prose h3{font-size:22px}.blog-prose h4{font-size:19px}.blog-prose h5,.blog-prose h6{font-size:17px}.blog-prose ol,.blog-prose p,.blog-prose ul{margin:0 0 1.3em}.blog-prose ol,.blog-prose ul{padding-left:26px}.blog-prose li{margin:5px 0}.blog-prose li>p{margin-bottom:.5em}.blog-prose li ol,.blog-prose li ul{margin:.5em 0}.blog-prose a,.blog-prose strong{color:var(--blue)}.blog-prose a{text-underline-offset:4px}.blog-prose a:hover{color:var(--purple)}.blog-prose blockquote{margin:24px 0;padding:14px 20px;border-left:3px solid var(--blue);background:var(--panel);color:var(--dim)}.blog-prose blockquote>:last-child{margin-bottom:0}.blog-prose code{font-family:JetBrains Mono,monospace;font-size:.85em}.blog-prose :not(pre)>code{padding:2px 6px;border-radius:4px;background:var(--inset);box-decoration-break:clone;-webkit-box-decoration-break:clone}.blog-prose figure[data-rehype-pretty-code-figure]{margin:24px 0;min-width:0}.blog-code-block{position:relative;max-width:100%}.blog-code-copy{position:absolute;right:10px;top:8px;z-index:1;border:1px solid var(--bd2);border-radius:4px;background:var(--panel);color:var(--dim);padding:5px 9px;cursor:pointer;font:11px Noto Sans TC,sans-serif}.blog-code-copy:hover{color:var(--blue);border-color:var(--blue)}.blog-prose pre{overflow-x:auto;max-width:100%;padding:42px 20px 20px;margin:0;border:1px solid var(--bd);background:var(--inset);line-height:1.75;white-space:pre;overflow-wrap:normal;tab-size:2}.blog-prose pre>code{display:grid;min-width:max-content}.blog-prose [data-line]{padding:0 2px}.blog-prose code[data-theme] span{color:var(--shiki-dark)}:root[data-theme=light] .blog-prose code[data-theme] span{color:var(--shiki-light)}.blog-prose .katex{font-size:1.08em}.blog-prose .katex-display{max-width:100%;overflow-x:auto;overflow-y:hidden;padding-block:8px}.blog-table-scroll{overflow-x:auto;max-width:100%;margin:24px 0}.blog-prose table{border-collapse:collapse;min-width:100%;font-size:14px}.blog-prose td,.blog-prose th{padding:10px 14px;border:1px solid var(--bd2);text-align:left}.blog-prose th{background:var(--panel);font-weight:500}.blog-prose hr{border:0;border-top:1px solid var(--bd2);margin:32px 0}.blog-prose .contains-task-list{list-style:none;padding-left:0}.blog-prose .task-list-item input{margin-right:8px;accent-color:var(--blue)}.blog-image{display:block;margin:22px 0}.blog-linked-image{display:block;margin:20px 0}.blog-linked-image img{display:block;max-width:100%;height:auto}.blog-linked-avatar img{width:70px;height:70px;object-fit:cover;border-radius:50%}.blog-image-open{display:block;width:100%;overflow:hidden;padding:0;border:0;background:#0000;cursor:zoom-in}.blog-image-open img{display:block;height:auto;max-width:100%;margin:0 auto}.blog-image-dialog{position:fixed;inset:0;margin:0;width:auto;height:auto;max-width:none;max-height:none;border:0;padding:20px;color:#e8ebf2;background:#111318}.blog-image-dialog[open]{display:flex;flex-direction:column;gap:16px}.blog-image-dialog::backdrop{background:#000000e6}.blog-image-dialog-head{display:flex;align-items:center;justify-content:space-between;gap:16px;font-size:13px}.blog-image-dialog-head button{flex:none;width:44px;height:44px;border:1px solid #ffffff40;color:#fff;background:#ffffff12;cursor:pointer}.blog-image-dialog>img{flex:1 1;min-height:0;width:100%;object-fit:contain}.blog-image-dialog>a{text-align:center;color:#b8c4f8;font-size:12px}.blog-adjacent{display:flex;justify-content:space-between;gap:24px;border-top:1px solid var(--bd2);margin-top:48px;padding-top:24px}.blog-adjacent>a{display:flex;flex-direction:column;gap:10px;color:var(--tx);text-decoration:none;max-width:48%}.blog-adjacent>a:last-child{text-align:right;margin-left:auto}.blog-adjacent small{color:var(--dim);font-size:11px}.blog-adjacent strong{font-weight:500;line-height:1.7;font-size:15px}.guestbook-history-badge{color:var(--dim);font-size:10px;padding:1px 5px;border:1px solid var(--bd2)}.guestbook-history-body{font-size:14px;line-height:1.8;white-space:normal;overflow-wrap:anywhere}.guestbook-history-body>:first-child{margin-top:0}.guestbook-history-body>:last-child{margin-bottom:0}.guestbook-history-body a{color:var(--blue)}.guestbook-history-body img{max-width:100%;max-height:260px}.guestbook-history-body pre{overflow-x:auto;padding:12px;background:var(--inset)}.guestbook-readonly-note{font-size:12px;color:var(--dim)}@media (max-width:960px){.writing-layout{grid-template-columns:190px minmax(0,1fr);gap:20px}.writing-filters{padding:16px}.writing-post-card-body{padding:18px}.blog-article-layout{grid-template-columns:180px minmax(0,1fr);gap:24px}}@media (max-width:760px){.blog-article-layout,.writing-layout{grid-template-columns:minmax(0,1fr)}.writing-filters{position:static;max-height:none;overflow:visible}.writing-timeline{display:flex;gap:20px;overflow-x:auto;min-width:0;max-width:100%;padding-bottom:4px;scrollbar-width:thin}.writing-timeline-hint{display:inline;float:right;color:var(--mute);font-size:10px}.writing-timeline-all{flex:none;align-self:center;min-height:44px}.writing-timeline-year{flex:none}.writing-timeline-year+.writing-timeline-year{margin-top:0}.writing-timeline-months{display:flex;gap:8px;position:relative;border-left:0;margin-left:0;padding:18px 0 4px}.writing-timeline-months:before{content:"";position:absolute;left:0;right:0;top:8px;height:1px;background:var(--bd2)}.writing-timeline-months>li{flex:0 0 64px;margin:0}.writing-month-button{min-height:44px;padding:8px 6px}.writing-month-button:before{left:calc(50% - 4px);top:-14px}.writing-post-list{grid-template-columns:minmax(0,1fr)}.writing-post-card h2{font-size:21px}.writing-tabs>button{padding:10px 14px}.blog-article-sidebar{position:static;max-height:none;overflow:visible;padding:20px;background:var(--panel)}.blog-article-meta{grid-template-columns:1fr 1fr;gap:16px}.blog-article-meta>div:last-child{grid-column:1/-1}.blog-toc nav{max-height:220px;overflow-y:auto}.blog-prose{font-size:15px}.blog-prose h2{font-size:25px}.blog-prose h3{font-size:21px}.blog-prose pre{padding-inline:14px}.blog-article-cover{aspect-ratio:auto;max-height:240px}.blog-adjacent{gap:16px}}@media (prefers-reduced-motion:reduce){.blog-toc a,.writing-post-card{transition:none}}@keyframes blog-photo-reveal{0%{opacity:0;transform:scale(1.035)}to{opacity:1;transform:scale(1)}}@media (prefers-reduced-motion:no-preference){.blog-preview-image[data-enhanced=true][data-ready=false]{opacity:0}.blog-preview-image[data-enhanced=true][data-ready=true]{animation:blog-photo-reveal .5s cubic-bezier(.22,1,.36,1)}.blog-preview-image{transition:transform .45s ease}}@media (hover:hover) and (pointer:fine) and (prefers-reduced-motion:no-preference){.writing-post-card:hover .writing-post-cover{transform:scale(1.025)}}@font-face{font-display:block;font-family:KaTeX_AMS;font-style:normal;font-weight:400;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-face{font-display:block;font-family:KaTeX_Caligraphic;font-style:normal;font-weight:700;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-face{font-display:block;font-family:KaTeX_Caligraphic;font-style:normal;font-weight:400;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-face{font-display:block;font-family:KaTeX_Fraktur;font-style:normal;font-weight:700;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-face{font-display:block;font-family:KaTeX_Fraktur;font-style:normal;font-weight:400;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-face{font-display:block;font-family:KaTeX_Main;font-style:normal;font-weight:700;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-face{font-display:block;font-family:KaTeX_Main;font-style:italic;font-weight:700;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-face{font-display:block;font-family:KaTeX_Main;font-style:italic;font-weight:400;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-face{font-display:block;font-family:KaTeX_Main;font-style:normal;font-weight:400;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-face{font-display:block;font-family:KaTeX_Math;font-style:italic;font-weight:700;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-face{font-display:block;font-family:KaTeX_Math;font-style:italic;font-weight:400;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-face{font-display:block;font-family:"KaTeX_SansSerif";font-style:normal;font-weight:700;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-face{font-display:block;font-family:"KaTeX_SansSerif";font-style:italic;font-weight:400;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-face{font-display:block;font-family:"KaTeX_SansSerif";font-style:normal;font-weight:400;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-face{font-display:block;font-family:KaTeX_Script;font-style:normal;font-weight:400;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-face{font-display:block;font-family:KaTeX_Size1;font-style:normal;font-weight:400;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-face{font-display:block;font-family:KaTeX_Size2;font-style:normal;font-weight:400;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-face{font-display:block;font-family:KaTeX_Size3;font-style:normal;font-weight:400;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-face{font-display:block;font-family:KaTeX_Size4;font-style:normal;font-weight:400;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-face{font-display:block;font-family:KaTeX_Typewriter;font-style:normal;font-weight:400;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")}.katex{font:normal 1.21em KaTeX_Main,Times New Roman,serif;line-height:1.2;position:relative;text-indent:0;text-rendering:auto}.katex *{-ms-high-contrast-adjust:none!important;border-color:currentColor}.katex .katex-version:after{content:"0.16.47"}.katex .katex-mathml{border:0;clip-path:inset(50%);height:1px;overflow:hidden;padding:0;position:absolute;width:1px}.katex .katex-html>.newline{display:block}.katex .base{position:relative;white-space:nowrap;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-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;display:inline-table;table-layout:fixed}.katex .vlist-r{display:table-row}.katex .vlist{display:table-cell;position:relative;vertical-align:bottom}.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;font-size:1px;min-width:2px;vertical-align:bottom;width:2px}.katex .vbox{align-items:baseline;display:inline-flex;flex-direction:column}.katex .hbox{width:100%}.katex .hbox,.katex .thinbox{display:inline-flex;flex-direction:row}.katex .thinbox{max-width:0;width:0}.katex .msupsub{text-align:left}.katex .mfrac>span>span{text-align:center}.katex .mfrac .frac-line{border-bottom-style:solid;display:inline-block;width:100%}.katex .hdashline,.katex .hline,.katex .mfrac .frac-line,.katex .overline .overline-line,.katex .rule,.katex .underline .underline-line{min-height:1px}.katex .mspace{display:inline-block}.katex .smash{display:inline;line-height:0}.katex .clap,.katex .llap,.katex .rlap{position:relative;width:0}.katex .clap>.inner,.katex .llap>.inner,.katex .rlap>.inner{position:absolute}.katex .clap>.fix,.katex .llap>.fix,.katex .rlap>.fix{display:inline-block}.katex .llap>.inner{right:0}.katex .clap>.inner,.katex .rlap>.inner{left:0}.katex .clap>.inner>span{margin-left:-50%;margin-right:50%}.katex .rule{border:0 solid;display:inline-block;position:relative}.katex .hline,.katex .overline .overline-line,.katex .underline .underline-line{border-bottom-style:solid;display:inline-block;width:100%}.katex .hdashline{border-bottom-style:dashed;display:inline-block;width:100%}.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{fill:currentColor;stroke:currentColor;display:block;height:inherit;position:absolute;width:100%}.katex svg path{stroke:none}.katex svg{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 img{border-style:none;max-height:none;max-width:none;min-height:0;min-width:0}.katex .stretchy{display:block;overflow:hidden;position:relative;width:100%}.katex .stretchy:after,.katex .stretchy:before{content:""}.katex .hide-tail{overflow:hidden;position:relative;width:100%}.katex .halfarrow-left{left:0;overflow:hidden;position:absolute;width:50.2%}.katex .halfarrow-right{overflow:hidden;position:absolute;right:0;width:50.2%}.katex .brace-left{left:0;overflow:hidden;position:absolute;width:25.1%}.katex .brace-center{left:25%;overflow:hidden;position:absolute;width:50%}.katex .brace-right{overflow:hidden;position:absolute;right:0;width:25.1%}.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{border:.04em solid;box-sizing:border-box}.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{border-right:.049em solid;border-top:.049em solid;box-sizing:border-box;margin-right:.03889em}.katex .anglpad{padding:0 .03889em}.katex .eqn-num:before{content:"(" counter(katexEqnNo) ")";counter-increment:katexEqnNo}.katex .mml-eqn-num:before{content:"(" counter(mmlEqnNo) ")";counter-increment:mmlEqnNo}.katex .mtr-glue{width:50%}.katex .cd-vert-arrow{display:inline-block;position:relative}.katex .cd-label-left{display:inline-block;position:absolute;right:calc(50% + .3em);text-align:left}.katex .cd-label-right{display:inline-block;left:calc(50% + .3em);position:absolute;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{padding-left:2em;text-align:left}body{counter-reset:katexEqnNo mmlEqnNo}