@font-face{font-family:Pretendard Variable;src:url(/fonts/pretendard/PretendardVariable.woff2)format("woff2");font-display:swap;font-weight:100 900}@font-face{font-family:IBM Plex Mono;src:url(/fonts/ibm-plex-mono/latin-400-normal.woff2)format("woff2");font-weight:400;font-style:normal;font-display:swap}.blog{--blog-paper:#f3f6fa;--blog-panel:#e7eef7;--blog-text:#192b40;--blog-muted:#52657c;--blog-link:#0e4a84;--blog-accent:#0e4a84;--blog-rule:#cbd6e4;background:var(--blog-paper);min-height:100vh;color:var(--blog-text);overflow-wrap:anywhere;padding:0 0 28px;font-family:Pretendard Variable,sans-serif}.blog-night{--blog-paper:#0c1523;--blog-panel:#142338;--blog-text:#edf3fc;--blog-muted:#a4b5cc;--blog-link:#9bc8ff;--blog-accent:#9bc8ff;--blog-rule:#2b405b;--lightningcss-light: ;--lightningcss-dark:initial;color-scheme:dark}.blog-width{width:min(100% - 112px,1120px);margin-inline:auto}.blog a{color:var(--blog-link);text-decoration:none;transition:color .18s}.blog a:hover{text-underline-offset:5px;text-decoration:underline}.blog h1,.blog h2,.blog h3{color:var(--blog-text);letter-spacing:-.035em;font-weight:550}.blog button{font:inherit;cursor:pointer;color:var(--blog-text);background:0 0;border:0;padding:8px}.blog :focus-visible{outline:2px solid var(--blog-accent);outline-offset:5px}.blog-meta,.blog-eyebrow,.blog-status,.blog-signal-caption,.blog-controls,.blog-entry-index,.blog-list time,.blog-feature-bottom,.blog-series-count,.blog-return,.blog-prose code,.blog-prose figcaption{font-family:IBM Plex Mono,monospace}.blog-toolbar{border-bottom:1px solid var(--blog-rule);justify-content:space-between;align-items:center;gap:20px;height:112px;display:flex}.blog-toolbar>a{color:var(--blog-text);align-items:center;gap:14px;display:flex}.blog-toolbar>a:hover{text-decoration:none}.blog-wordmark{color:var(--blog-accent);letter-spacing:-.065em;font-size:29px;font-weight:800;line-height:1}.blog-wordmark-lab{letter-spacing:-.035em;margin-left:6px;font-weight:350}.blog-wordmark-caption{letter-spacing:.06em;color:var(--blog-muted);margin-top:9px;font:9px/1.6 IBM Plex Mono,monospace;display:block}.blog-controls{white-space:nowrap;align-items:center;gap:26px;font-size:11px;display:flex}.blog-theme{border-radius:30px;border:1px solid var(--blog-rule)!important;padding:9px 14px!important;font-size:10px!important}.blog-theme>span{vertical-align:-1px;margin-right:6px;font-size:16px}.blog-hero{grid-template-columns:1.25fr 1fr;align-items:center;gap:50px;padding:70px 0 54px;display:grid}.blog-eyebrow{letter-spacing:.1em;color:var(--blog-accent);align-items:center;gap:9px;font-size:10px;line-height:1.8;display:flex}.blog-eyebrow>span{background:var(--blog-accent);border-radius:50%;flex-shrink:0;width:5px;height:5px}.blog-hero h1{word-break:keep-all;letter-spacing:-.06em;margin:30px 0 28px;font-size:clamp(60px,6.7vw,94px);font-weight:520;line-height:1.04}.blog-hero h1 em{color:var(--blog-accent);font-style:normal}.blog-hero-description{color:var(--blog-muted);word-break:keep-all;max-width:365px;font-size:17px;line-height:1.65}.blog-signal{color:var(--blog-accent);align-self:center;margin-top:32px}.blog-signal svg{width:100%;height:auto;margin:24px 0;display:block}.blog-signal-caption{letter-spacing:.06em;color:var(--blog-muted);justify-content:space-between;gap:12px;font-size:8px;display:flex}.blog-signal text{font-family:IBM Plex Mono,monospace}.signal-ghost{stroke:currentColor;stroke-width:1px;opacity:.22}.signal-main{stroke:currentColor;stroke-width:2px;stroke-dasharray:700;animation:1.7s ease-out blog-signal}.blog-status{border-top:1px solid var(--blog-rule);border-bottom:1px solid var(--blog-rule);letter-spacing:.04em;color:var(--blog-muted);justify-content:space-between;align-items:center;gap:15px;padding:18px 0;font-size:9px;display:flex}.blog-status a{font-size:10px}.blog-feature{background:var(--blog-panel);border:1px solid var(--blog-rule);grid-template-columns:1fr 1.6fr;margin:52px 0 80px;display:grid}.blog-feature-copy{padding:34px 36px}.blog-meta{letter-spacing:.04em;text-transform:uppercase;color:var(--blog-muted);font-size:10px;line-height:1.8}.blog-feature h2{margin:18px 0;font-size:32px;line-height:1.2}.blog-feature h2 a{color:var(--blog-text)}.blog-feature h2 a>span{color:var(--blog-accent);margin-left:12px;font-size:24px;display:inline-block}.blog-feature-copy>p:not(.blog-meta){color:var(--blog-muted);font-size:14px;line-height:1.75}.blog-feature-bottom{border-top:1px solid var(--blog-rule);color:var(--blog-muted);justify-content:space-between;gap:12px;margin-top:28px;padding-top:18px;font-size:9px;display:flex}.blog-section-heading{justify-content:space-between;align-items:baseline;gap:20px;margin-bottom:24px;display:flex}.blog-section-heading h2{font-size:30px;font-weight:500}.blog-channels{border-bottom:1px solid var(--blog-rule);flex-wrap:wrap;gap:6px;padding-bottom:23px;display:flex}.blog-channels button{color:var(--blog-muted);border:1px solid #0000;border-radius:25px;padding:8px 13px;font-size:12px;transition:background .18s,color .18s}.blog-channels button>span{margin-left:10px;font:10px IBM Plex Mono,monospace}.blog-channels button:hover{border-color:var(--blog-rule)}.blog-channels button[aria-pressed=true]{background:var(--blog-accent);color:var(--blog-paper)}.blog-list article{border-bottom:1px solid var(--blog-rule);grid-template-columns:208px minmax(0,1fr) 92px;align-items:center;gap:24px;padding:32px 0;display:grid}.blog-list h2{margin:10px 0;font-size:24px;line-height:1.3}.blog-list h2 a{color:var(--blog-text);justify-content:space-between;align-items:baseline;gap:20px;display:flex}.blog-list h2 a>span{color:var(--blog-accent);font-size:20px}.blog-entry-main>p:not(.blog-meta){color:var(--blog-muted);max-width:650px;font-size:14px;line-height:1.75}.blog-entry-main .blog-meta span{margin:0 8px}.blog-list time{color:var(--blog-muted);text-align:right;padding-top:4px;font-size:10px}.blog-series{margin-top:72px}.blog-series-grid{border-top:1px solid var(--blog-rule);border-bottom:1px solid var(--blog-rule);grid-template-columns:repeat(3,1fr);display:grid}.blog-series-grid>a{border-right:1px solid var(--blog-rule);flex-direction:column;padding:28px 26px 22px;transition:background .18s;display:flex}.blog-series-grid>a:first-child{padding-left:0}.blog-series-grid>a:last-child{border-right:0;padding-right:0}.blog-series-grid>a:hover{background:var(--blog-panel);text-decoration:none}.blog-series-grid h3{max-width:230px;margin:24px 0 30px;font-size:23px;line-height:1.25}.blog-series-count{color:var(--blog-muted);justify-content:space-between;margin-top:auto;font-size:10px;display:flex}.blog-series-count b{color:var(--blog-accent);font-size:22px;font-weight:400;line-height:1}.blog-footer{border-top:1px solid var(--blog-rule);margin-top:100px}.blog-footer-top{justify-content:space-between;align-items:center;gap:32px;padding:36px 0;display:flex}.blog-footer-top>div>p+p{color:var(--blog-muted);margin-top:8px;font-size:13px}.blog-footer-links{gap:28px;font-size:12px;display:flex}.blog-return{border-top:1px solid var(--blog-rule);color:var(--blog-muted);justify-content:space-between;align-items:center;gap:24px;padding-top:22px;font-size:9px;display:flex}.blog-return a{font-size:12px}.blog-return a>span{margin-left:14px}.blog-empty{min-height:45vh;padding:80px 0;line-height:2}.blog-empty h1{font-size:64px}.blog-series-hero{grid-template-columns:1fr;padding:65px 0 45px}.blog-series-hero h1{max-width:850px;font-size:64px}.blog-series-hero .blog-hero-description{max-width:550px}.blog-series-hero~.blog-archive{margin-top:60px}.blog-post-header{max-width:790px;padding:66px 0 40px}.blog-post-header h1{letter-spacing:-.04em;margin:22px 0;font-size:clamp(36px,4.5vw,56px);line-height:1.12}.blog-post-header p a{text-underline-offset:4px;text-decoration:underline}.blog-summary{color:var(--blog-muted);margin:24px 0;font-size:20px;line-height:1.65}.blog-byline{color:var(--blog-muted);margin:-8px 0 24px;font-size:14px}.blog-post-header .blog-byline a{color:var(--blog-link);font-weight:600;text-decoration:none}.blog-post-header .blog-byline a:hover{text-decoration:underline}.blog-paper{border-top:1px solid var(--blog-rule);border-bottom:1px solid var(--blog-rule);background:var(--blog-panel);margin-top:34px;padding:22px 26px}.blog-paper h2{letter-spacing:-.015em;margin:10px 0;font-size:18px}.blog-paper p{color:var(--blog-muted);font-size:13px;line-height:1.7}.blog-paper>a{margin-top:12px;font-size:12px;display:inline-block}.blog-reading-layout{grid-template-columns:minmax(0,720px) minmax(160px,1fr);align-items:start;gap:72px;display:grid}.blog-prose{min-width:0;color:var(--blog-text);font-size:17px;line-height:1.9}.blog-prose h2{color:var(--blog-link);margin:50px 0 20px;scroll-margin-top:30px;font-size:29px;line-height:1.25}.blog-prose h3{margin:34px 0 16px;scroll-margin-top:30px;font-size:22px;line-height:1.35}.blog-prose p,.blog-prose ul,.blog-prose ol{margin:20px 0}.blog-prose ul{padding-left:24px;list-style:outside}.blog-prose ol{padding-left:24px;list-style:decimal}.blog-key,.blog-prose blockquote{border-left:2px solid var(--blog-accent);background:var(--blog-panel);margin:32px 0;padding:1px 24px}.blog-prose a{text-underline-offset:4px;text-decoration:underline}.blog-prose pre{border:1px solid #2b405b;border-top:2px solid #9bc8ff;border-radius:2px;padding:22px;line-height:1.7;overflow:auto;background:#0b1622!important}.blog-prose code{font-size:13px}.blog-prose img{width:100%;height:auto}.blog-prose figure{border:1px solid var(--blog-rule);margin:32px 0;padding:12px}.blog-prose figcaption{color:var(--blog-muted);margin-top:10px;font-size:11px}.blog-prose table{border-collapse:collapse;width:100%;display:block;overflow:auto}.blog-prose td,.blog-prose th{border:1px solid var(--blog-rule);text-align:left;padding:8px}.blog-prose .katex-display{padding:8px 0;overflow:auto}.blog-toc{color:var(--blog-muted);padding-top:20px;font-size:12px;line-height:1.65;position:sticky;top:32px}.blog-toc li{margin:13px 0}.blog-toc .sub{padding-left:12px}.blog-toc summary{cursor:pointer;color:var(--blog-text);margin-bottom:20px;font-size:13px;font-weight:550}.blog-toc a{color:var(--blog-muted)}.blog-toc a:hover{color:var(--blog-accent)}.blog-post-footer{border-top:1px solid var(--blog-rule);max-width:720px;margin-top:56px;padding-top:28px;font-size:14px;line-height:2}.blog-post-footer h2{margin-top:24px;font-size:18px}.blog-post-links{flex-wrap:wrap;gap:8px 28px;margin:20px 0 0;display:flex}.blog-post-footer .inline-links{margin:16px 0 24px;font-size:14px}.blog .inline-links a{color:var(--blog-link)}@keyframes blog-signal{0%{stroke-dashoffset:700px}to{stroke-dashoffset:0}}@media (max-width:1000px){.blog-width{width:calc(100% - 64px)}.blog-hero{gap:24px}.blog-hero h1{font-size:74px}.blog-reading-layout{gap:36px}.blog-feature-copy{padding:28px}.blog-feature h2{font-size:28px}}@media (max-width:760px){.blog-width{width:calc(100% - 40px)}.blog-toolbar{gap:16px;height:96px}.blog-wordmark{font-size:15px}.blog-wordmark-caption{display:none}.blog-toolbar>a{gap:10px}.blog-controls{gap:8px;font-size:10px}.blog-controls button{padding:7px}.blog-theme{padding:7px 9px!important;font-size:9px!important}.blog-theme>span{margin-right:3px;font-size:13px}.blog-hero{grid-template-columns:1fr;gap:0;padding:44px 0 28px}.blog-hero h1{margin:22px 0;font-size:66px}.blog-hero-description{max-width:310px;font-size:16px}.blog-signal{max-width:480px;margin:34px 0 0}.blog-signal svg{max-height:210px;margin:12px 0}.blog-signal-caption{font-size:7px}.blog-eyebrow{font-size:9px}.blog-status{flex-wrap:wrap;row-gap:12px;padding:16px 0;font-size:8px}.blog-status a{flex-basis:100%;font-size:10px}.blog-feature{grid-template-columns:1fr;margin:32px 0 48px}.blog-feature-copy{padding:24px 22px}.blog-feature h2{font-size:28px}.blog-feature-bottom{margin-top:20px}.blog-section-heading{gap:12px;margin-bottom:20px}.blog-section-heading h2{font-size:26px}.blog-section-heading>.blog-meta{font-size:8px}.blog-channels{gap:5px;padding-bottom:18px}.blog-channels button{padding:7px 9px;font-size:11px}.blog-channels button>span{margin-left:6px}.blog-list article{grid-template-columns:minmax(0,1fr);gap:12px;padding:24px 0}.blog-list h2{font-size:22px}.blog-list time{text-align:left;grid-column:1;padding:0}.blog-entry-main>p:not(.blog-meta){font-size:13px}.blog-list .blog-meta{font-size:8px}.blog-series{margin-top:44px}.blog-series-grid{grid-template-columns:1fr}.blog-series-grid>a,.blog-series-grid>a:first-child,.blog-series-grid>a:last-child{border-right:0;border-bottom:1px solid var(--blog-rule);padding:24px 0}.blog-series-grid>a:last-child{border-bottom:0}.blog-series-grid h3{max-width:none;margin:14px 0 20px;font-size:24px}.blog-series-count{font-size:11px}.blog-footer{margin-top:64px}.blog-footer-top{flex-direction:column;align-items:start;gap:22px;padding:28px 0}.blog-footer-links{gap:24px}.blog-return{flex-direction:column;align-items:start;gap:18px}.blog-return a{font-size:13px}.blog-series-hero h1{font-size:46px}.blog-reading-layout{flex-direction:column;gap:12px;display:flex}.blog-toc{border-bottom:1px solid var(--blog-rule);order:-1;width:100%;padding:0;position:static}.blog-toc summary{margin:0;padding:16px 0}.blog-post-header{padding:40px 0 20px}.blog-post-header h1{font-size:37px}.blog-summary{font-size:18px}.blog-paper{padding:20px}.blog-prose{width:100%;font-size:16px}.blog-prose h2{margin-top:38px;font-size:25px}.blog-prose h3{font-size:21px}}@media (prefers-reduced-motion:reduce){.signal-main{animation:none}.blog a,.blog button,.blog-series-grid>a{transition:none}}.admin-preview .blog-width{width:calc(100% - 40px)}.admin-preview .blog-toolbar{height:85px}.admin-preview .blog-post-header h1{font-size:36px}.admin-preview .blog-footer-links,.admin-preview .blog-return{flex-wrap:wrap}.blog-cover{aspect-ratio:16/10;background:#0e4a84;width:100%;display:block;overflow:hidden}.blog-cover svg,.blog-cover img{object-fit:cover;width:100%;height:100%;display:block}.blog-feature-image{background:#0e4a84;align-items:center;display:flex;overflow:hidden}.blog-feature-image .blog-cover{aspect-ratio:4/3}.blog-entry-cover{min-width:0}@media (max-width:1000px) and (min-width:761px){.blog-list article{grid-template-columns:160px minmax(0,1fr)}.blog-list time{text-align:left;grid-column:2}}@media (max-width:760px){.blog-wordmark{font-size:25px}.blog-entry-cover{margin-bottom:6px}.blog-feature-image .blog-cover{aspect-ratio:16/10}}.blog{line-height:1.6}.blog p{margin-block:1em}.blog ul{padding-left:1.5em;list-style:outside}.blog ol{padding-left:1.5em;list-style:decimal}.blog .inline-links{flex-wrap:wrap;gap:12px 24px;display:flex}.blog-site-footer .site-footer-brand,.blog-site-footer .site-footer-main>div,.blog-site-footer .site-footer-bottom{display:none}.blog-site-footer{margin-top:0}@font-face{font-display:block;font-family:KaTeX_AMS;font-style:normal;font-weight:400;src:url(/_next/static/media/KaTeX_AMS-Regular.BQhdFMY1.woff2)format("woff2"),url(/_next/static/media/KaTeX_AMS-Regular.DMm9YOAa.woff)format("woff"),url(/_next/static/media/KaTeX_AMS-Regular.DRggAlZN.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.Dq_IR9rO.woff2)format("woff2"),url(/_next/static/media/KaTeX_Caligraphic-Bold.BEiXGLvX.woff)format("woff"),url(/_next/static/media/KaTeX_Caligraphic-Bold.ATXxdsX0.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.Di6jR-x-.woff2)format("woff2"),url(/_next/static/media/KaTeX_Caligraphic-Regular.CTRA-rTL.woff)format("woff"),url(/_next/static/media/KaTeX_Caligraphic-Regular.wX97UBjC.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.CL6g_b3V.woff2)format("woff2"),url(/_next/static/media/KaTeX_Fraktur-Bold.BsDP51OF.woff)format("woff"),url(/_next/static/media/KaTeX_Fraktur-Bold.BdnERNNW.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.CTYiF6lA.woff2)format("woff2"),url(/_next/static/media/KaTeX_Fraktur-Regular.Dxdc4cR9.woff)format("woff"),url(/_next/static/media/KaTeX_Fraktur-Regular.CB_wures.ttf)format("truetype")}@font-face{font-display:block;font-family:KaTeX_Main;font-style:normal;font-weight:700;src:url(/_next/static/media/KaTeX_Main-Bold.Cx986IdX.woff2)format("woff2"),url(/_next/static/media/KaTeX_Main-Bold.Jm3AIy58.woff)format("woff"),url(/_next/static/media/KaTeX_Main-Bold.waoOVXN0.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.DxDJ3AOS.woff2)format("woff2"),url(/_next/static/media/KaTeX_Main-BoldItalic.SpSLRI95.woff)format("woff"),url(/_next/static/media/KaTeX_Main-BoldItalic.DzxPMmG6.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.NWA7e6Wa.woff2)format("woff2"),url(/_next/static/media/KaTeX_Main-Italic.BMLOBm91.woff)format("woff"),url(/_next/static/media/KaTeX_Main-Italic.3WenGoN9.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.B22Nviop.woff2)format("woff2"),url(/_next/static/media/KaTeX_Main-Regular.Dr94JaBh.woff)format("woff"),url(/_next/static/media/KaTeX_Main-Regular.ypZvNtVU.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.CZnvNsCZ.woff2)format("woff2"),url(/_next/static/media/KaTeX_Math-BoldItalic.iY-2wyZ7.woff)format("woff"),url(/_next/static/media/KaTeX_Math-BoldItalic.B3XSjfu4.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.t53AETM-.woff2)format("woff2"),url(/_next/static/media/KaTeX_Math-Italic.DA0__PXp.woff)format("woff"),url(/_next/static/media/KaTeX_Math-Italic.flOr_0UB.ttf)format("truetype")}@font-face{font-display:block;font-family:KaTeX_SansSerif;font-style:normal;font-weight:700;src:url(/_next/static/media/KaTeX_SansSerif-Bold.D1sUS0GD.woff2)format("woff2"),url(/_next/static/media/KaTeX_SansSerif-Bold.DbIhKOiC.woff)format("woff"),url(/_next/static/media/KaTeX_SansSerif-Bold.CFMepnvq.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.C3H0VqGB.woff2)format("woff2"),url(/_next/static/media/KaTeX_SansSerif-Italic.DN2j7dab.woff)format("woff"),url(/_next/static/media/KaTeX_SansSerif-Italic.YYjJ1zSn.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.DDBCnlJ7.woff2)format("woff2"),url(/_next/static/media/KaTeX_SansSerif-Regular.CS6fqUqJ.woff)format("woff"),url(/_next/static/media/KaTeX_SansSerif-Regular.BNo7hRIc.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.D3wIWfF6.woff2)format("woff2"),url(/_next/static/media/KaTeX_Script-Regular.D5yQViql.woff)format("woff"),url(/_next/static/media/KaTeX_Script-Regular.C5JkGWo-.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.mCD8mA8B.woff2)format("woff2"),url(/_next/static/media/KaTeX_Size1-Regular.C195tn64.woff)format("woff"),url(/_next/static/media/KaTeX_Size1-Regular.Dbsnue_I.ttf)format("truetype")}@font-face{font-display:block;font-family:KaTeX_Size2;font-style:normal;font-weight:400;src:url(/_next/static/media/KaTeX_Size2-Regular.Dy4dx90m.woff2)format("woff2"),url(/_next/static/media/KaTeX_Size2-Regular.oD1tc_U0.woff)format("woff"),url(/_next/static/media/KaTeX_Size2-Regular.B7gKUWhC.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.gV2CO0n9.woff2)format("woff2"),url(/_next/static/media/KaTeX_Size3-Regular.CTq5MqoE.woff)format("woff"),url(/_next/static/media/KaTeX_Size3-Regular.DgpXs0kz.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.Dl5lxZxV.woff2)format("woff2"),url(/_next/static/media/KaTeX_Size4-Regular.BF-4gkZK.woff)format("woff"),url(/_next/static/media/KaTeX_Size4-Regular.DWFBv043.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.CO6r4hn1.woff2)format("woff2"),url(/_next/static/media/KaTeX_Typewriter-Regular.C0xS9mPB.woff)format("woff"),url(/_next/static/media/KaTeX_Typewriter-Regular.D3Ib7_Hf.ttf)format("truetype")}.katex{text-indent:0;text-rendering:auto;font:1.21em/1.2 KaTeX_Main,Times New Roman,serif;position:relative}.katex *{border-color:currentColor;-ms-high-contrast-adjust:none!important}.katex .katex-version:after{content:"0.18.9"}.katex .katex-mathml{clip-path:inset(50%);border:0;width:1px;height:1px;padding:0;position:absolute;overflow:hidden}.katex .katex-html>.katex-newline{display:block}.katex .katex-base{white-space:nowrap;width:min-content;position:relative}.katex .katex-base,.katex .katex-strut{display:inline-block}.katex .textbf{font-weight:700}.katex .textit{font-style:italic}.katex .textrm{font-family:KaTeX_Main}.katex .textsf{font-family:KaTeX_SansSerif}.katex .texttt{font-family:KaTeX_Typewriter}.katex .mathnormal{font-family:KaTeX_Math;font-style:italic}.katex .mathit{font-family:KaTeX_Main;font-style:italic}.katex .mathrm{font-style:normal}.katex .mathbf{font-family:KaTeX_Main;font-weight:700}.katex .boldsymbol{font-family:KaTeX_Math;font-style:italic;font-weight:700}.katex .amsrm,.katex .mathbb,.katex .textbb{font-family:KaTeX_AMS}.katex .mathcal{font-family:KaTeX_Caligraphic}.katex .mathfrak,.katex .textfrak{font-family:KaTeX_Fraktur}.katex .mathboldfrak,.katex .textboldfrak{font-family:KaTeX_Fraktur;font-weight:700}.katex .mathtt{font-family:KaTeX_Typewriter}.katex .mathscr,.katex .textscr{font-family:KaTeX_Script}.katex .mathsf,.katex .textsf{font-family:KaTeX_SansSerif}.katex .mathboldsf,.katex .textboldsf{font-family:KaTeX_SansSerif;font-weight:700}.katex .mathitsf,.katex .mathsfit,.katex .textitsf{font-family:KaTeX_SansSerif;font-style:italic}.katex .mainrm{font-family:KaTeX_Main;font-style:normal}.katex .vlist-t{border-collapse:collapse;table-layout:fixed;display:inline-table}.katex .vlist-r{display:table-row}.katex .vlist{vertical-align:bottom;display:table-cell;position:relative}.katex .vlist>span{height:0;display:block;position:relative}.katex .vlist>span>span{display:inline-block}.katex .vlist>span>.pstrut{width:0;overflow:hidden}.katex .vlist-t2{margin-right:-2px}.katex .vlist-s{vertical-align:bottom;width:2px;min-width:2px;font-size:1px;display:table-cell}.katex .katex-vbox{flex-direction:column;align-items:baseline;display:inline-flex}.katex .katex-thinbox{flex-direction:row;width:0;max-width:0;display:inline-flex}.katex .msupsub{text-align:left}.katex .mfrac>span>span{text-align:center}.katex .mfrac .frac-line{border-bottom-style:solid;width:100%;display:inline-block}.katex .katex-hdashline,.katex .katex-hline,.katex .katex-overline .overline-line,.katex .katex-rule,.katex .katex-underline .underline-line,.katex .mfrac .frac-line{min-height:1px}.katex .mspace{display:inline-block}.katex .katex-smash{line-height:0;display:inline}.katex .clap,.katex .llap,.katex .rlap{width:0;position:relative}.katex .clap>.katex-inner,.katex .llap>.katex-inner,.katex .rlap>.katex-inner{position:absolute}.katex .clap>.katex-fix,.katex .llap>.katex-fix,.katex .rlap>.katex-fix{display:inline-block}.katex .llap>.katex-inner{right:0}.katex .clap>.katex-inner,.katex .rlap>.katex-inner{left:0}.katex .clap>.katex-inner>span{margin-left:-50%;margin-right:50%}.katex .katex-rule{border:0 solid;display:inline-block;position:relative}.katex .katex-hline,.katex .katex-overline .overline-line,.katex .katex-underline .underline-line{border-bottom-style:solid;width:100%;display:inline-block}.katex .katex-hdashline{border-bottom-style:dashed;width:100%;display:inline-block}.katex .sqrt>.katex-root{margin-left:.277778em;margin-right:-.555556em}.katex .fontsize-ensurer.reset-size1.size1,.katex .katex-sizing.reset-size1.size1{font-size:1em}.katex .fontsize-ensurer.reset-size1.size2,.katex .katex-sizing.reset-size1.size2{font-size:1.2em}.katex .fontsize-ensurer.reset-size1.size3,.katex .katex-sizing.reset-size1.size3{font-size:1.4em}.katex .fontsize-ensurer.reset-size1.size4,.katex .katex-sizing.reset-size1.size4{font-size:1.6em}.katex .fontsize-ensurer.reset-size1.size5,.katex .katex-sizing.reset-size1.size5{font-size:1.8em}.katex .fontsize-ensurer.reset-size1.size6,.katex .katex-sizing.reset-size1.size6{font-size:2em}.katex .fontsize-ensurer.reset-size1.size7,.katex .katex-sizing.reset-size1.size7{font-size:2.4em}.katex .fontsize-ensurer.reset-size1.size8,.katex .katex-sizing.reset-size1.size8{font-size:2.88em}.katex .fontsize-ensurer.reset-size1.size9,.katex .katex-sizing.reset-size1.size9{font-size:3.456em}.katex .fontsize-ensurer.reset-size1.size10,.katex .katex-sizing.reset-size1.size10{font-size:4.148em}.katex .fontsize-ensurer.reset-size1.size11,.katex .katex-sizing.reset-size1.size11{font-size:4.976em}.katex .fontsize-ensurer.reset-size2.size1,.katex .katex-sizing.reset-size2.size1{font-size:.833333em}.katex .fontsize-ensurer.reset-size2.size2,.katex .katex-sizing.reset-size2.size2{font-size:1em}.katex .fontsize-ensurer.reset-size2.size3,.katex .katex-sizing.reset-size2.size3{font-size:1.16667em}.katex .fontsize-ensurer.reset-size2.size4,.katex .katex-sizing.reset-size2.size4{font-size:1.33333em}.katex .fontsize-ensurer.reset-size2.size5,.katex .katex-sizing.reset-size2.size5{font-size:1.5em}.katex .fontsize-ensurer.reset-size2.size6,.katex .katex-sizing.reset-size2.size6{font-size:1.66667em}.katex .fontsize-ensurer.reset-size2.size7,.katex .katex-sizing.reset-size2.size7{font-size:2em}.katex .fontsize-ensurer.reset-size2.size8,.katex .katex-sizing.reset-size2.size8{font-size:2.4em}.katex .fontsize-ensurer.reset-size2.size9,.katex .katex-sizing.reset-size2.size9{font-size:2.88em}.katex .fontsize-ensurer.reset-size2.size10,.katex .katex-sizing.reset-size2.size10{font-size:3.45667em}.katex .fontsize-ensurer.reset-size2.size11,.katex .katex-sizing.reset-size2.size11{font-size:4.14667em}.katex .fontsize-ensurer.reset-size3.size1,.katex .katex-sizing.reset-size3.size1{font-size:.714286em}.katex .fontsize-ensurer.reset-size3.size2,.katex .katex-sizing.reset-size3.size2{font-size:.857143em}.katex .fontsize-ensurer.reset-size3.size3,.katex .katex-sizing.reset-size3.size3{font-size:1em}.katex .fontsize-ensurer.reset-size3.size4,.katex .katex-sizing.reset-size3.size4{font-size:1.14286em}.katex .fontsize-ensurer.reset-size3.size5,.katex .katex-sizing.reset-size3.size5{font-size:1.28571em}.katex .fontsize-ensurer.reset-size3.size6,.katex .katex-sizing.reset-size3.size6{font-size:1.42857em}.katex .fontsize-ensurer.reset-size3.size7,.katex .katex-sizing.reset-size3.size7{font-size:1.71429em}.katex .fontsize-ensurer.reset-size3.size8,.katex .katex-sizing.reset-size3.size8{font-size:2.05714em}.katex .fontsize-ensurer.reset-size3.size9,.katex .katex-sizing.reset-size3.size9{font-size:2.46857em}.katex .fontsize-ensurer.reset-size3.size10,.katex .katex-sizing.reset-size3.size10{font-size:2.96286em}.katex .fontsize-ensurer.reset-size3.size11,.katex .katex-sizing.reset-size3.size11{font-size:3.55429em}.katex .fontsize-ensurer.reset-size4.size1,.katex .katex-sizing.reset-size4.size1{font-size:.625em}.katex .fontsize-ensurer.reset-size4.size2,.katex .katex-sizing.reset-size4.size2{font-size:.75em}.katex .fontsize-ensurer.reset-size4.size3,.katex .katex-sizing.reset-size4.size3{font-size:.875em}.katex .fontsize-ensurer.reset-size4.size4,.katex .katex-sizing.reset-size4.size4{font-size:1em}.katex .fontsize-ensurer.reset-size4.size5,.katex .katex-sizing.reset-size4.size5{font-size:1.125em}.katex .fontsize-ensurer.reset-size4.size6,.katex .katex-sizing.reset-size4.size6{font-size:1.25em}.katex .fontsize-ensurer.reset-size4.size7,.katex .katex-sizing.reset-size4.size7{font-size:1.5em}.katex .fontsize-ensurer.reset-size4.size8,.katex .katex-sizing.reset-size4.size8{font-size:1.8em}.katex .fontsize-ensurer.reset-size4.size9,.katex .katex-sizing.reset-size4.size9{font-size:2.16em}.katex .fontsize-ensurer.reset-size4.size10,.katex .katex-sizing.reset-size4.size10{font-size:2.5925em}.katex .fontsize-ensurer.reset-size4.size11,.katex .katex-sizing.reset-size4.size11{font-size:3.11em}.katex .fontsize-ensurer.reset-size5.size1,.katex .katex-sizing.reset-size5.size1{font-size:.555556em}.katex .fontsize-ensurer.reset-size5.size2,.katex .katex-sizing.reset-size5.size2{font-size:.666667em}.katex .fontsize-ensurer.reset-size5.size3,.katex .katex-sizing.reset-size5.size3{font-size:.777778em}.katex .fontsize-ensurer.reset-size5.size4,.katex .katex-sizing.reset-size5.size4{font-size:.888889em}.katex .fontsize-ensurer.reset-size5.size5,.katex .katex-sizing.reset-size5.size5{font-size:1em}.katex .fontsize-ensurer.reset-size5.size6,.katex .katex-sizing.reset-size5.size6{font-size:1.11111em}.katex .fontsize-ensurer.reset-size5.size7,.katex .katex-sizing.reset-size5.size7{font-size:1.33333em}.katex .fontsize-ensurer.reset-size5.size8,.katex .katex-sizing.reset-size5.size8{font-size:1.6em}.katex .fontsize-ensurer.reset-size5.size9,.katex .katex-sizing.reset-size5.size9{font-size:1.92em}.katex .fontsize-ensurer.reset-size5.size10,.katex .katex-sizing.reset-size5.size10{font-size:2.30444em}.katex .fontsize-ensurer.reset-size5.size11,.katex .katex-sizing.reset-size5.size11{font-size:2.76444em}.katex .fontsize-ensurer.reset-size6.size1,.katex .katex-sizing.reset-size6.size1{font-size:.5em}.katex .fontsize-ensurer.reset-size6.size2,.katex .katex-sizing.reset-size6.size2{font-size:.6em}.katex .fontsize-ensurer.reset-size6.size3,.katex .katex-sizing.reset-size6.size3{font-size:.7em}.katex .fontsize-ensurer.reset-size6.size4,.katex .katex-sizing.reset-size6.size4{font-size:.8em}.katex .fontsize-ensurer.reset-size6.size5,.katex .katex-sizing.reset-size6.size5{font-size:.9em}.katex .fontsize-ensurer.reset-size6.size6,.katex .katex-sizing.reset-size6.size6{font-size:1em}.katex .fontsize-ensurer.reset-size6.size7,.katex .katex-sizing.reset-size6.size7{font-size:1.2em}.katex .fontsize-ensurer.reset-size6.size8,.katex .katex-sizing.reset-size6.size8{font-size:1.44em}.katex .fontsize-ensurer.reset-size6.size9,.katex .katex-sizing.reset-size6.size9{font-size:1.728em}.katex .fontsize-ensurer.reset-size6.size10,.katex .katex-sizing.reset-size6.size10{font-size:2.074em}.katex .fontsize-ensurer.reset-size6.size11,.katex .katex-sizing.reset-size6.size11{font-size:2.488em}.katex .fontsize-ensurer.reset-size7.size1,.katex .katex-sizing.reset-size7.size1{font-size:.416667em}.katex .fontsize-ensurer.reset-size7.size2,.katex .katex-sizing.reset-size7.size2{font-size:.5em}.katex .fontsize-ensurer.reset-size7.size3,.katex .katex-sizing.reset-size7.size3{font-size:.583333em}.katex .fontsize-ensurer.reset-size7.size4,.katex .katex-sizing.reset-size7.size4{font-size:.666667em}.katex .fontsize-ensurer.reset-size7.size5,.katex .katex-sizing.reset-size7.size5{font-size:.75em}.katex .fontsize-ensurer.reset-size7.size6,.katex .katex-sizing.reset-size7.size6{font-size:.833333em}.katex .fontsize-ensurer.reset-size7.size7,.katex .katex-sizing.reset-size7.size7{font-size:1em}.katex .fontsize-ensurer.reset-size7.size8,.katex .katex-sizing.reset-size7.size8{font-size:1.2em}.katex .fontsize-ensurer.reset-size7.size9,.katex .katex-sizing.reset-size7.size9{font-size:1.44em}.katex .fontsize-ensurer.reset-size7.size10,.katex .katex-sizing.reset-size7.size10{font-size:1.72833em}.katex .fontsize-ensurer.reset-size7.size11,.katex .katex-sizing.reset-size7.size11{font-size:2.07333em}.katex .fontsize-ensurer.reset-size8.size1,.katex .katex-sizing.reset-size8.size1{font-size:.347222em}.katex .fontsize-ensurer.reset-size8.size2,.katex .katex-sizing.reset-size8.size2{font-size:.416667em}.katex .fontsize-ensurer.reset-size8.size3,.katex .katex-sizing.reset-size8.size3{font-size:.486111em}.katex .fontsize-ensurer.reset-size8.size4,.katex .katex-sizing.reset-size8.size4{font-size:.555556em}.katex .fontsize-ensurer.reset-size8.size5,.katex .katex-sizing.reset-size8.size5{font-size:.625em}.katex .fontsize-ensurer.reset-size8.size6,.katex .katex-sizing.reset-size8.size6{font-size:.694444em}.katex .fontsize-ensurer.reset-size8.size7,.katex .katex-sizing.reset-size8.size7{font-size:.833333em}.katex .fontsize-ensurer.reset-size8.size8,.katex .katex-sizing.reset-size8.size8{font-size:1em}.katex .fontsize-ensurer.reset-size8.size9,.katex .katex-sizing.reset-size8.size9{font-size:1.2em}.katex .fontsize-ensurer.reset-size8.size10,.katex .katex-sizing.reset-size8.size10{font-size:1.44028em}.katex .fontsize-ensurer.reset-size8.size11,.katex .katex-sizing.reset-size8.size11{font-size:1.72778em}.katex .fontsize-ensurer.reset-size9.size1,.katex .katex-sizing.reset-size9.size1{font-size:.289352em}.katex .fontsize-ensurer.reset-size9.size2,.katex .katex-sizing.reset-size9.size2{font-size:.347222em}.katex .fontsize-ensurer.reset-size9.size3,.katex .katex-sizing.reset-size9.size3{font-size:.405093em}.katex .fontsize-ensurer.reset-size9.size4,.katex .katex-sizing.reset-size9.size4{font-size:.462963em}.katex .fontsize-ensurer.reset-size9.size5,.katex .katex-sizing.reset-size9.size5{font-size:.520833em}.katex .fontsize-ensurer.reset-size9.size6,.katex .katex-sizing.reset-size9.size6{font-size:.578704em}.katex .fontsize-ensurer.reset-size9.size7,.katex .katex-sizing.reset-size9.size7{font-size:.694444em}.katex .fontsize-ensurer.reset-size9.size8,.katex .katex-sizing.reset-size9.size8{font-size:.833333em}.katex .fontsize-ensurer.reset-size9.size9,.katex .katex-sizing.reset-size9.size9{font-size:1em}.katex .fontsize-ensurer.reset-size9.size10,.katex .katex-sizing.reset-size9.size10{font-size:1.20023em}.katex .fontsize-ensurer.reset-size9.size11,.katex .katex-sizing.reset-size9.size11{font-size:1.43981em}.katex .fontsize-ensurer.reset-size10.size1,.katex .katex-sizing.reset-size10.size1{font-size:.24108em}.katex .fontsize-ensurer.reset-size10.size2,.katex .katex-sizing.reset-size10.size2{font-size:.289296em}.katex .fontsize-ensurer.reset-size10.size3,.katex .katex-sizing.reset-size10.size3{font-size:.337512em}.katex .fontsize-ensurer.reset-size10.size4,.katex .katex-sizing.reset-size10.size4{font-size:.385728em}.katex .fontsize-ensurer.reset-size10.size5,.katex .katex-sizing.reset-size10.size5{font-size:.433944em}.katex .fontsize-ensurer.reset-size10.size6,.katex .katex-sizing.reset-size10.size6{font-size:.48216em}.katex .fontsize-ensurer.reset-size10.size7,.katex .katex-sizing.reset-size10.size7{font-size:.578592em}.katex .fontsize-ensurer.reset-size10.size8,.katex .katex-sizing.reset-size10.size8{font-size:.694311em}.katex .fontsize-ensurer.reset-size10.size9,.katex .katex-sizing.reset-size10.size9{font-size:.833173em}.katex .fontsize-ensurer.reset-size10.size10,.katex .katex-sizing.reset-size10.size10{font-size:1em}.katex .fontsize-ensurer.reset-size10.size11,.katex .katex-sizing.reset-size10.size11{font-size:1.19961em}.katex .fontsize-ensurer.reset-size11.size1,.katex .katex-sizing.reset-size11.size1{font-size:.200965em}.katex .fontsize-ensurer.reset-size11.size2,.katex .katex-sizing.reset-size11.size2{font-size:.241158em}.katex .fontsize-ensurer.reset-size11.size3,.katex .katex-sizing.reset-size11.size3{font-size:.281351em}.katex .fontsize-ensurer.reset-size11.size4,.katex .katex-sizing.reset-size11.size4{font-size:.321543em}.katex .fontsize-ensurer.reset-size11.size5,.katex .katex-sizing.reset-size11.size5{font-size:.361736em}.katex .fontsize-ensurer.reset-size11.size6,.katex .katex-sizing.reset-size11.size6{font-size:.401929em}.katex .fontsize-ensurer.reset-size11.size7,.katex .katex-sizing.reset-size11.size7{font-size:.482315em}.katex .fontsize-ensurer.reset-size11.size8,.katex .katex-sizing.reset-size11.size8{font-size:.578778em}.katex .fontsize-ensurer.reset-size11.size9,.katex .katex-sizing.reset-size11.size9{font-size:.694534em}.katex .fontsize-ensurer.reset-size11.size10,.katex .katex-sizing.reset-size11.size10{font-size:.833601em}.katex .fontsize-ensurer.reset-size11.size11,.katex .katex-sizing.reset-size11.size11{font-size:1em}.katex .delimsizing.size1{font-family:KaTeX_Size1}.katex .delimsizing.size2{font-family:KaTeX_Size2}.katex .delimsizing.size3{font-family:KaTeX_Size3}.katex .delimsizing.size4{font-family:KaTeX_Size4}.katex .delimsizing.mult .delim-size1>span{font-family:KaTeX_Size1}.katex .delimsizing.mult .delim-size4>span{font-family:KaTeX_Size4}.katex .nulldelimiter{width:.12em;display:inline-block}.katex .delimcenter,.katex .op-symbol{position:relative}.katex .op-symbol.small-op{font-family:KaTeX_Size1}.katex .op-symbol.large-op{font-family:KaTeX_Size2}.katex .katex-accent>.vlist-t,.katex .op-limits>.vlist-t{text-align:center}.katex .katex-accent .accent-body{position:relative}.katex .katex-accent .accent-body:not(.accent-full){width:0}.katex .katex-overlay{display:block}.katex .mtable .vertical-separator{min-width:1px;display:inline-block}.katex .mtable .arraycolsep{display:inline-block}.katex .mtable .col-align-c>.vlist-t{text-align:center}.katex .mtable .col-align-l>.vlist-t{text-align:left}.katex .mtable .col-align-r>.vlist-t{text-align:right}.katex .svg-align{text-align:left}.katex svg{fill:currentColor;stroke:currentColor;height:inherit;width:100%;display:block;position:absolute}.katex svg path{stroke:none}.katex svg{fill-rule:nonzero;fill-opacity:1;stroke-width:1px;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:4;stroke-dasharray:none;stroke-dashoffset:0;stroke-opacity:1}.katex img{border-style:none;min-width:0;max-width:none;min-height:0;max-height:none}.katex .katex-stretchy{width:100%;display:block;position:relative;overflow:hidden}.katex .katex-stretchy:after,.katex .katex-stretchy:before{content:""}.katex .hide-tail{width:100%;position:relative;overflow:hidden}.katex .halfarrow-left{width:50.2%;position:absolute;left:0;overflow:hidden}.katex .halfarrow-right{width:50.2%;position:absolute;right:0;overflow:hidden}.katex .brace-left{width:25.1%;position:absolute;left:0;overflow:hidden}.katex .brace-center{width:50%;position:absolute;left:25%;overflow:hidden}.katex .brace-right{width:25.1%;position:absolute;right:0;overflow:hidden}.katex .x-arrow-pad{padding:0 .5em}.katex .cd-arrow-pad{padding:0 .55556em 0 .27778em}.katex .mover,.katex .munder,.katex .x-arrow{text-align:center}.katex .boxpad{padding:0 .3em}.katex .fbox,.katex .fcolorbox{box-sizing:border-box;border:.04em solid}.katex .cancel-pad{padding:0 .2em}.katex .cancel-lap{margin-left:-.2em;margin-right:-.2em}.katex .katex-sout{border-bottom-style:solid;border-bottom-width:.08em}.katex .angl{box-sizing:border-box;border-top:.049em solid;border-right:.049em solid;margin-right:.03889em}.katex .anglpad{padding:0 .03889em}.katex .reflectbox{display:inline-block;transform:scaleX(-1)}.katex .eqn-num:before{content:"(" counter(katexEqnNo) ")";counter-increment:katexEqnNo}.katex .mml-eqn-num:before{content:"(" counter(mmlEqnNo) ")";counter-increment:mmlEqnNo}.katex .mtr-glue{width:50%}.katex .cd-vert-arrow{display:inline-block;position:relative}.katex .cd-label-left{text-align:left;display:inline-block;position:absolute;right:calc(50% + .3em)}.katex .cd-label-right{text-align:right;display:inline-block;position:absolute;left:calc(50% + .3em)}.katex-display{text-align:center;margin:1em 0;display:block}.katex-display>.katex{text-align:center;white-space:nowrap;display:block}.katex-display>.katex>.katex-html{display:block;position:relative}.katex-display>.katex>.katex-html>.katex-tag{position:absolute;right:0}.katex-display.leqno>.katex>.katex-html>.katex-tag{left:0;right:auto}.katex-display.fleqn>.katex{text-align:left;padding-left:2em}body{counter-reset:katexEqnNo mmlEqnNo}
