:root{--lightningcss-light: ;--lightningcss-dark:initial;color-scheme:dark;--ink:#09090f;--surface:#15151f;--surface-2:#1c1c28;--line:#2a2a3a;--line-soft:#20202c;--brand:#8b5cf6;--brand-bright:#a78bfa;--brand-deep:#6d28d9;--teal:#2dd4bf;--cyan:#22d3ee;--danger:#f43f5e;--wa:#22c55e;--amber:#f59e0b;--text:#f5f5fa;--muted:#9ba0b4;--radius:12px;--font-display:"Sora", ui-sans-serif, system-ui, sans-serif;--font-body:"Plus Jakarta Sans", ui-sans-serif, system-ui, sans-serif}*{box-sizing:border-box}html,body{background:var(--ink)}body{color:var(--text);font-family:var(--font-body);margin:0;font-size:14px;line-height:1.55}h1,h2,h3{font-family:var(--font-display);letter-spacing:-.01em;margin:0;font-weight:700}h1{font-size:1.6rem}h2{font-size:1.1rem}a{color:var(--brand-bright);text-decoration:none}a:hover{text-decoration:underline}.muted{color:var(--muted)}.font-display{font-family:var(--font-display)}input,select,textarea{border:1px solid var(--line);background:var(--ink);color:var(--text);border-radius:10px;outline:none;padding:.6rem .8rem;font-family:inherit;font-size:.9rem;transition:border-color .15s,box-shadow .15s}input:focus,select:focus,textarea:focus{border-color:var(--brand);box-shadow:0 0 0 3px #8b5cf640}textarea{resize:vertical}input[type=radio],input[type=checkbox]{accent-color:var(--brand)}label{color:var(--text)}.btn{border:1px solid var(--line);color:var(--text);cursor:pointer;background:0 0;border-radius:10px;justify-content:center;align-items:center;gap:.4rem;padding:.55rem 1.05rem;font-family:inherit;font-size:.9rem;font-weight:600;text-decoration:none;transition:all .15s;display:inline-flex}.btn:hover{border-color:var(--brand);text-decoration:none}.btn:active{transform:scale(.98)}.btn-primary{background:var(--brand);color:#fff;border:none;box-shadow:0 6px 20px -8px #8b5cf6a6}.btn-primary:hover{background:var(--brand-bright)}.btn-success{background:var(--wa);color:#06351b;border:none}.btn-success:hover{filter:brightness(1.08)}.btn-danger{background:var(--danger);color:#fff;border:none}.btn-danger-outline{color:var(--danger);border-color:#f43f5e66}.btn-danger-outline:hover{border-color:var(--danger);background:#f43f5e1a}.btn-sm{padding:.38rem .8rem;font-size:.8rem}.card{background:var(--surface);border:1px solid var(--line);border-radius:var(--radius);padding:1.1rem 1.25rem}.card-2{background:var(--surface-2);border:1px solid var(--line);border-radius:10px;padding:.9rem}.stat{background:var(--surface);border:1px solid var(--line);border-radius:var(--radius);padding:1rem}.stat .label{color:var(--muted);font-size:12px}.stat .value{font-family:var(--font-display);margin-top:4px;font-size:26px;font-weight:700}.pill{border-radius:999px;padding:4px 10px;font-size:11px;font-weight:600;display:inline-block}.pill-brand{color:var(--brand-bright);background:#8b5cf626}.pill-teal{color:var(--teal);background:#2dd4bf26}.pill-cyan{color:var(--cyan);background:#22d3ee26}.pill-amber{color:var(--amber);background:#f59e0b26}.pill-danger{color:var(--danger);background:#f43f5e26}.pill-muted{color:var(--muted);background:#ffffff0d}.pill-success{color:var(--wa);background:#22c55e26}.banner{border-radius:16px;flex-wrap:wrap;align-items:center;gap:1rem;padding:1rem 1.25rem;display:flex}.banner-wa{background:#22c55e1a;border:1px solid #22c55e4d}.banner-amber{background:#f59e0b1a;border:1px solid #f59e0b4d}table{border-collapse:collapse;width:100%;font-size:.9rem}th{text-align:left;color:var(--muted);padding:.5rem .6rem;font-size:.8rem;font-weight:600}td{border-top:1px solid var(--line);padding:.65rem .6rem}.row{flex-wrap:wrap;align-items:center;gap:.5rem;display:flex}.between{flex-wrap:wrap;justify-content:space-between;align-items:center;gap:.5rem;display:flex}.grid-cards{grid-template-columns:repeat(auto-fill,minmax(220px,1fr));gap:.75rem;display:grid}.stack{gap:.75rem;display:grid}.brand{align-items:center;gap:10px;margin-bottom:1.3rem;padding:0 .5rem;display:flex}.brand-mark{background:var(--brand);color:#fff;border-radius:11px;place-items:center;width:36px;height:36px;display:grid;box-shadow:0 6px 20px -6px #8b5cf6b3}.brand-name{font-family:var(--font-display);font-size:17px;font-weight:700;line-height:1}.shell{min-height:100vh;display:flex}.sidebar{background:var(--surface);border-right:1px solid var(--line);z-index:50;flex-direction:column;flex-shrink:0;width:272px;height:100dvh;transition:width .2s;display:flex;position:sticky;top:0}.sb-head{border-bottom:1px solid var(--line-soft);align-items:center;gap:12px;padding:1.1rem 1rem .85rem;display:flex}.sb-logo{border:1px solid var(--line);background:radial-gradient(120% 120% at 30% 15%,#8b5cf638,#22d3ee1a 55%,#0000);border-radius:13px;flex-shrink:0;place-items:center;width:46px;height:46px;display:grid;overflow:hidden;box-shadow:0 8px 22px -12px #8b5cf699}.sb-logo img{object-fit:contain;width:40px;height:40px}.sb-brand{flex-direction:column;gap:3px;min-width:0;display:flex}.sb-name{font-family:var(--font-display);background:linear-gradient(92deg, var(--brand-bright), var(--cyan));color:#0000;-webkit-background-clip:text;background-clip:text;font-size:19px;font-weight:800;line-height:1}.sb-school{letter-spacing:.09em;text-transform:uppercase;color:var(--muted);white-space:nowrap;text-overflow:ellipsis;font-size:10.5px;font-weight:600;line-height:1.25;overflow:hidden}.sb-scroll{flex-direction:column;flex:1;gap:1.1rem;min-height:0;padding:.9rem .75rem 1.2rem;display:flex;overflow-y:auto}.sb-shortcuts{grid-template-columns:repeat(3,1fr);gap:8px;display:grid}.sb-shortcut{color:#fff;text-align:center;cursor:pointer;border:1px solid #0000;border-radius:12px;flex-direction:column;align-items:center;gap:6px;padding:.7rem .3rem;font-size:11px;font-weight:600;transition:transform .15s,filter .15s;display:flex}.sb-shortcut svg{width:18px;height:18px}.sb-shortcut:hover{filter:brightness(1.12);text-decoration:none;transform:translateY(-1px)}.sb-shortcut:focus-visible{outline:2px solid var(--brand-bright);outline-offset:2px}.sb-sc-home{background:linear-gradient(160deg, var(--brand), var(--brand-deep));box-shadow:0 8px 18px -12px #8b5cf6cc}.sb-sc-key{background:linear-gradient(160deg, var(--cyan), #0e7490);box-shadow:0 8px 18px -12px #22d3eed9}.sb-sc-out{background:linear-gradient(160deg, var(--danger), #9f1239);box-shadow:0 8px 18px -12px #f43f5ecc}.sb-group{flex-direction:column;gap:3px;display:flex}.sb-navlabel{letter-spacing:.13em;text-transform:uppercase;color:#6f7488;margin-bottom:5px;padding:0 .7rem;font-size:10.5px;font-weight:700}.nav-link{color:var(--muted);border:1px solid #0000;border-radius:11px;align-items:center;gap:12px;padding:.62rem .7rem;font-size:13.5px;font-weight:500;transition:background .15s,color .15s;display:flex;position:relative}.nav-link svg{flex-shrink:0;width:19px;height:19px}.nav-link .nav-txt{white-space:nowrap;overflow:hidden}.nav-link:hover{background:var(--surface-2);color:var(--text);text-decoration:none}.nav-link.active{color:var(--brand-bright);background:#8b5cf624;border-color:#8b5cf638;font-weight:600}.nav-link.active:before{content:"";background:linear-gradient(var(--brand-bright), var(--cyan));border-radius:0 4px 4px 0;width:4px;height:22px;position:absolute;top:50%;left:-.75rem;transform:translateY(-50%)}.nav-link:focus-visible{outline:2px solid var(--brand-bright);outline-offset:1px}.nav-badge{color:var(--cyan);background:#22d3ee29;border-radius:999px;margin-left:auto;padding:2px 7px;font-size:10px;font-weight:700}.sb-tip{white-space:nowrap;background:var(--line-soft);color:var(--text);border:1px solid var(--line);pointer-events:none;opacity:0;z-index:60;border-radius:8px;padding:4px 9px;font-size:12px;font-weight:600;transition:opacity .15s,transform .15s;position:absolute;top:50%;left:calc(100% + 10px);transform:translate(-6px,-50%);box-shadow:0 10px 24px -12px #000c}.shell:not(.nav-collapsed) .sb-tip{display:none}.shell.nav-collapsed .sidebar{width:78px}.shell.nav-collapsed .sb-brand,.shell.nav-collapsed .nav-txt,.shell.nav-collapsed .sb-navlabel,.shell.nav-collapsed .nav-badge,.shell.nav-collapsed .sb-sc-label{display:none}.shell.nav-collapsed .sb-head{justify-content:center}.shell.nav-collapsed .sb-shortcuts{grid-template-columns:1fr}.shell.nav-collapsed .nav-link{justify-content:center;padding:.62rem}.shell.nav-collapsed .nav-link:hover .sb-tip,.shell.nav-collapsed .sb-shortcut:hover .sb-tip{opacity:1;transform:translate(0)}.content{flex-direction:column;flex:1;min-width:0;display:flex}.topbar{z-index:30;-webkit-backdrop-filter:blur(10px);border-bottom:1px solid var(--line);background:#0d0d14d1;align-items:center;gap:.85rem;min-height:68px;padding:.7rem 1.25rem;display:flex;position:sticky;top:0}.tb-ico-btn{border:1px solid var(--line);background:var(--surface);width:40px;height:40px;color:var(--text);cursor:pointer;border-radius:11px;flex-shrink:0;place-items:center;transition:border-color .15s,background .15s;display:grid}.tb-ico-btn:hover{border-color:var(--brand);background:var(--surface-2)}.tb-ico-btn:focus-visible{outline:2px solid var(--brand-bright);outline-offset:2px}.tb-crumb{align-items:center;gap:11px;min-width:0;display:flex}.tb-crumb-ico{width:40px;height:40px;color:var(--brand-bright);background:#8b5cf624;border:1px solid #8b5cf638;border-radius:11px;flex-shrink:0;place-items:center;display:grid}.tb-crumb-top{color:var(--muted);letter-spacing:.04em;font-size:11px}.tb-crumb-title{font-family:var(--font-display);white-space:nowrap;text-overflow:ellipsis;font-size:17px;font-weight:700;line-height:1.15;overflow:hidden}.tb-right{align-items:center;gap:.6rem;margin-left:auto;display:flex}.avatar{border:1px solid var(--line);background:var(--surface);border-radius:999px;align-items:center;gap:9px;padding:4px 11px 4px 4px;display:flex}.avatar .circ{color:#fff;background:linear-gradient(145deg, var(--brand), var(--brand-deep));border-radius:50%;place-items:center;width:32px;height:32px;font-size:13px;font-weight:700;display:grid}.avatar .who{line-height:1.15}.avatar .who b{font-size:12.5px;font-weight:700;display:block}.avatar .who span{color:var(--muted);font-size:10.5px}.content-inner{flex:1;width:100%;max-width:1120px;margin:0 auto;padding:1.8rem 1.5rem 2.5rem}.sb-backdrop{-webkit-backdrop-filter:blur(2px);backdrop-filter:blur(2px);z-index:45;opacity:0;pointer-events:none;background:#05050a99;transition:opacity .2s;position:fixed;inset:0}.shell.nav-open .sb-backdrop{opacity:1;pointer-events:auto}.dsh-modal-wrap{z-index:80;-webkit-backdrop-filter:blur(3px);backdrop-filter:blur(3px);background:#05050aa6;place-items:center;padding:1.2rem;display:grid;position:fixed;inset:0}.dsh-modal{background:var(--surface);border:1px solid var(--line);border-radius:18px;width:100%;max-width:360px;padding:1.5rem;box-shadow:0 30px 70px -20px #000000e6}.dsh-modal .mico{width:48px;height:48px;color:var(--danger);background:#f43f5e24;border-radius:13px;place-items:center;margin-bottom:.9rem;display:grid}.dsh-modal h3{margin-bottom:6px;font-size:1.15rem}.dsh-modal p{color:var(--muted);margin:0 0 1.2rem;font-size:13px}.dsh-modal .acts{gap:.6rem;display:flex}@media (max-width:860px){.sidebar{width:272px;transition:transform .22s;position:fixed;top:0;left:0;transform:translate(-100%);box-shadow:0 0 60px -10px #000000b3}.shell.nav-open .sidebar{transform:translate(0)}.shell.nav-collapsed .sidebar{width:272px}.shell.nav-collapsed .sb-brand,.shell.nav-collapsed .nav-txt,.shell.nav-collapsed .sb-navlabel,.shell.nav-collapsed .nav-badge,.shell.nav-collapsed .sb-sc-label{display:revert}.shell.nav-collapsed .nav-link{justify-content:flex-start;padding:.62rem .7rem}.shell.nav-collapsed .sb-shortcuts{grid-template-columns:repeat(3,1fr)}.shell.nav-collapsed .sb-head{justify-content:flex-start}.avatar .who{display:none}.avatar{padding:4px}}@media (max-width:480px){.content-inner{padding:1.3rem 1rem 2rem}.tb-crumb-top{display:none}}.katex{font-size:1.05em}[contenteditable]:empty:before{content:attr(data-placeholder);color:var(--muted);pointer-events:none}[contenteditable] img{border-radius:8px;max-width:100%}
@font-face{font-display:block;font-family:KaTeX_AMS;font-style:normal;font-weight:400;src:url(../media/KaTeX_AMS-Regular.3dqqgop8d9q74.woff2)format("woff2"),url(../media/KaTeX_AMS-Regular.3s3485bbs_y9t.woff)format("woff"),url(../media/KaTeX_AMS-Regular.06540o8ttgt08.ttf)format("truetype")}@font-face{font-display:block;font-family:KaTeX_Caligraphic;font-style:normal;font-weight:700;src:url(../media/KaTeX_Caligraphic-Bold.0x398dszol8ix.woff2)format("woff2"),url(../media/KaTeX_Caligraphic-Bold.0i0ys3pk95qm_.woff)format("woff"),url(../media/KaTeX_Caligraphic-Bold.071y7fj7dknco.ttf)format("truetype")}@font-face{font-display:block;font-family:KaTeX_Caligraphic;font-style:normal;font-weight:400;src:url(../media/KaTeX_Caligraphic-Regular.3ittfn7d21b9w.woff2)format("woff2"),url(../media/KaTeX_Caligraphic-Regular.3-a7ahrnv-1p0.woff)format("woff"),url(../media/KaTeX_Caligraphic-Regular.2a29kziuqmcwj.ttf)format("truetype")}@font-face{font-display:block;font-family:KaTeX_Fraktur;font-style:normal;font-weight:700;src:url(../media/KaTeX_Fraktur-Bold.3rq09ohrtely_.woff2)format("woff2"),url(../media/KaTeX_Fraktur-Bold.1m6-2-v71aefh.woff)format("woff"),url(../media/KaTeX_Fraktur-Bold.2c272neyw5p5h.ttf)format("truetype")}@font-face{font-display:block;font-family:KaTeX_Fraktur;font-style:normal;font-weight:400;src:url(../media/KaTeX_Fraktur-Regular.1jvgec053-2og.woff2)format("woff2"),url(../media/KaTeX_Fraktur-Regular.1pa447q_ni5m2.woff)format("woff"),url(../media/KaTeX_Fraktur-Regular.0_16ta522mcvb.ttf)format("truetype")}@font-face{font-display:block;font-family:KaTeX_Main;font-style:normal;font-weight:700;src:url(../media/KaTeX_Main-Bold.22wkahef0u3fd.woff2)format("woff2"),url(../media/KaTeX_Main-Bold.1fyzqvxw_mkks.woff)format("woff"),url(../media/KaTeX_Main-Bold.3q46h05c4j0cw.ttf)format("truetype")}@font-face{font-display:block;font-family:KaTeX_Main;font-style:italic;font-weight:700;src:url(../media/KaTeX_Main-BoldItalic.40drhxm0mwrzz.woff2)format("woff2"),url(../media/KaTeX_Main-BoldItalic.0g_mm5w89az4z.woff)format("woff"),url(../media/KaTeX_Main-BoldItalic.2r19jqj9qb5v7.ttf)format("truetype")}@font-face{font-display:block;font-family:KaTeX_Main;font-style:italic;font-weight:400;src:url(../media/KaTeX_Main-Italic.1ck6crdmp78cu.woff2)format("woff2"),url(../media/KaTeX_Main-Italic.3h-lyz6-tj-5j.woff)format("woff"),url(../media/KaTeX_Main-Italic.07vrczmwpvimc.ttf)format("truetype")}@font-face{font-display:block;font-family:KaTeX_Main;font-style:normal;font-weight:400;src:url(../media/KaTeX_Main-Regular.29zz7337tzymc.woff2)format("woff2"),url(../media/KaTeX_Main-Regular.0r86ux5c2_9jc.woff)format("woff"),url(../media/KaTeX_Main-Regular.0cm4nk2aib81i.ttf)format("truetype")}@font-face{font-display:block;font-family:KaTeX_Math;font-style:italic;font-weight:700;src:url(../media/KaTeX_Math-BoldItalic.0u_6s571--hh0.woff2)format("woff2"),url(../media/KaTeX_Math-BoldItalic.1-f92ydojzao_.woff)format("woff"),url(../media/KaTeX_Math-BoldItalic.0m2qm2_orz99k.ttf)format("truetype")}@font-face{font-display:block;font-family:KaTeX_Math;font-style:italic;font-weight:400;src:url(../media/KaTeX_Math-Italic.18dmviy-uianu.woff2)format("woff2"),url(../media/KaTeX_Math-Italic.2d-roszuwfrpn.woff)format("woff"),url(../media/KaTeX_Math-Italic.1vw7gcigzv33_.ttf)format("truetype")}@font-face{font-display:block;font-family:KaTeX_SansSerif;font-style:normal;font-weight:700;src:url(../media/KaTeX_SansSerif-Bold.19n5ohjzvq40z.woff2)format("woff2"),url(../media/KaTeX_SansSerif-Bold.1ad0dh55v7-4h.woff)format("woff"),url(../media/KaTeX_SansSerif-Bold.3ojskmd7zv_b8.ttf)format("truetype")}@font-face{font-display:block;font-family:KaTeX_SansSerif;font-style:italic;font-weight:400;src:url(../media/KaTeX_SansSerif-Italic.38w085lqrghwm.woff2)format("woff2"),url(../media/KaTeX_SansSerif-Italic.0_21g6aey40vy.woff)format("woff"),url(../media/KaTeX_SansSerif-Italic.0abd80e_ako5h.ttf)format("truetype")}@font-face{font-display:block;font-family:KaTeX_SansSerif;font-style:normal;font-weight:400;src:url(../media/KaTeX_SansSerif-Regular.3w8wtfek3qsk6.woff2)format("woff2"),url(../media/KaTeX_SansSerif-Regular.0v2olaztuqa1v.woff)format("woff"),url(../media/KaTeX_SansSerif-Regular.0xkeldfcfvj58.ttf)format("truetype")}@font-face{font-display:block;font-family:KaTeX_Script;font-style:normal;font-weight:400;src:url(../media/KaTeX_Script-Regular.10h737unm2jp7.woff2)format("woff2"),url(../media/KaTeX_Script-Regular.2m7-0wua2lvnq.woff)format("woff"),url(../media/KaTeX_Script-Regular.1hw1d7omwtnoy.ttf)format("truetype")}@font-face{font-display:block;font-family:KaTeX_Size1;font-style:normal;font-weight:400;src:url(../media/KaTeX_Size1-Regular.3xype_vsmmjgw.woff2)format("woff2"),url(../media/KaTeX_Size1-Regular.3aliq3yd-ja9b.woff)format("woff"),url(../media/KaTeX_Size1-Regular.44z_qgcc9t0a_.ttf)format("truetype")}@font-face{font-display:block;font-family:KaTeX_Size2;font-style:normal;font-weight:400;src:url(../media/KaTeX_Size2-Regular.2-wakugslvf3a.woff2)format("woff2"),url(../media/KaTeX_Size2-Regular.3u0df62zf5guy.woff)format("woff"),url(../media/KaTeX_Size2-Regular.3eprswoc9v3fh.ttf)format("truetype")}@font-face{font-display:block;font-family:KaTeX_Size3;font-style:normal;font-weight:400;src:url(../media/KaTeX_Size3-Regular.1nfuh3l6nzhjv.woff2)format("woff2"),url(../media/KaTeX_Size3-Regular.3n7wm08wz2r2g.woff)format("woff"),url(../media/KaTeX_Size3-Regular.2kp2izz6g7r-7.ttf)format("truetype")}@font-face{font-display:block;font-family:KaTeX_Size4;font-style:normal;font-weight:400;src:url(../media/KaTeX_Size4-Regular.13pyt7zi482pb.woff2)format("woff2"),url(../media/KaTeX_Size4-Regular.37jvrh2wknf5u.woff)format("woff"),url(../media/KaTeX_Size4-Regular.2ltjhs9xhaefy.ttf)format("truetype")}@font-face{font-display:block;font-family:KaTeX_Typewriter;font-style:normal;font-weight:400;src:url(../media/KaTeX_Typewriter-Regular.2vfnlegjq9l42.woff2)format("woff2"),url(../media/KaTeX_Typewriter-Regular.0xi5kyeeydv4z.woff)format("woff"),url(../media/KaTeX_Typewriter-Regular.34aedpl-_o3h3.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:"0.16.47"}.katex .katex-mathml{clip-path:inset(50%);border:0;width:1px;height:1px;padding:0;position:absolute;overflow:hidden}.katex .katex-html>.newline{display:block}.katex .base{white-space:nowrap;width:min-content;position:relative}.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;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 .vbox{flex-direction:column;align-items:baseline;display:inline-flex}.katex .hbox{width:100%}.katex .hbox,.katex .thinbox{flex-direction:row;display:inline-flex}.katex .thinbox{width:0;max-width:0}.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 .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{line-height:0;display:inline}.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{border:0 solid;display:inline-block;position:relative}.katex .hline,.katex .overline .overline-line,.katex .underline .underline-line{border-bottom-style:solid;width:100%;display:inline-block}.katex .hdashline{border-bottom-style:dashed;width:100%;display:inline-block}.katex .sqrt>.root{margin-left:.277778em;margin-right:-.555556em}.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:.833333em}.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:1.16667em}.katex .fontsize-ensurer.reset-size2.size4,.katex .sizing.reset-size2.size4{font-size:1.33333em}.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:1.66667em}.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:3.45667em}.katex .fontsize-ensurer.reset-size2.size11,.katex .sizing.reset-size2.size11{font-size:4.14667em}.katex .fontsize-ensurer.reset-size3.size1,.katex .sizing.reset-size3.size1{font-size:.714286em}.katex .fontsize-ensurer.reset-size3.size2,.katex .sizing.reset-size3.size2{font-size:.857143em}.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:1.14286em}.katex .fontsize-ensurer.reset-size3.size5,.katex .sizing.reset-size3.size5{font-size:1.28571em}.katex .fontsize-ensurer.reset-size3.size6,.katex .sizing.reset-size3.size6{font-size:1.42857em}.katex .fontsize-ensurer.reset-size3.size7,.katex .sizing.reset-size3.size7{font-size:1.71429em}.katex .fontsize-ensurer.reset-size3.size8,.katex .sizing.reset-size3.size8{font-size:2.05714em}.katex .fontsize-ensurer.reset-size3.size9,.katex .sizing.reset-size3.size9{font-size:2.46857em}.katex .fontsize-ensurer.reset-size3.size10,.katex .sizing.reset-size3.size10{font-size:2.96286em}.katex .fontsize-ensurer.reset-size3.size11,.katex .sizing.reset-size3.size11{font-size:3.55429em}.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:.555556em}.katex .fontsize-ensurer.reset-size5.size2,.katex .sizing.reset-size5.size2{font-size:.666667em}.katex .fontsize-ensurer.reset-size5.size3,.katex .sizing.reset-size5.size3{font-size:.777778em}.katex .fontsize-ensurer.reset-size5.size4,.katex .sizing.reset-size5.size4{font-size:.888889em}.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:1.11111em}.katex .fontsize-ensurer.reset-size5.size7,.katex .sizing.reset-size5.size7{font-size:1.33333em}.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:2.30444em}.katex .fontsize-ensurer.reset-size5.size11,.katex .sizing.reset-size5.size11{font-size:2.76444em}.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:.416667em}.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:.583333em}.katex .fontsize-ensurer.reset-size7.size4,.katex .sizing.reset-size7.size4{font-size:.666667em}.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:.833333em}.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:1.72833em}.katex .fontsize-ensurer.reset-size7.size11,.katex .sizing.reset-size7.size11{font-size:2.07333em}.katex .fontsize-ensurer.reset-size8.size1,.katex .sizing.reset-size8.size1{font-size:.347222em}.katex .fontsize-ensurer.reset-size8.size2,.katex .sizing.reset-size8.size2{font-size:.416667em}.katex .fontsize-ensurer.reset-size8.size3,.katex .sizing.reset-size8.size3{font-size:.486111em}.katex .fontsize-ensurer.reset-size8.size4,.katex .sizing.reset-size8.size4{font-size:.555556em}.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:.694444em}.katex .fontsize-ensurer.reset-size8.size7,.katex .sizing.reset-size8.size7{font-size:.833333em}.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:1.44028em}.katex .fontsize-ensurer.reset-size8.size11,.katex .sizing.reset-size8.size11{font-size:1.72778em}.katex .fontsize-ensurer.reset-size9.size1,.katex .sizing.reset-size9.size1{font-size:.289352em}.katex .fontsize-ensurer.reset-size9.size2,.katex .sizing.reset-size9.size2{font-size:.347222em}.katex .fontsize-ensurer.reset-size9.size3,.katex .sizing.reset-size9.size3{font-size:.405093em}.katex .fontsize-ensurer.reset-size9.size4,.katex .sizing.reset-size9.size4{font-size:.462963em}.katex .fontsize-ensurer.reset-size9.size5,.katex .sizing.reset-size9.size5{font-size:.520833em}.katex .fontsize-ensurer.reset-size9.size6,.katex .sizing.reset-size9.size6{font-size:.578704em}.katex .fontsize-ensurer.reset-size9.size7,.katex .sizing.reset-size9.size7{font-size:.694444em}.katex .fontsize-ensurer.reset-size9.size8,.katex .sizing.reset-size9.size8{font-size:.833333em}.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:1.20023em}.katex .fontsize-ensurer.reset-size9.size11,.katex .sizing.reset-size9.size11{font-size:1.43981em}.katex .fontsize-ensurer.reset-size10.size1,.katex .sizing.reset-size10.size1{font-size:.24108em}.katex .fontsize-ensurer.reset-size10.size2,.katex .sizing.reset-size10.size2{font-size:.289296em}.katex .fontsize-ensurer.reset-size10.size3,.katex .sizing.reset-size10.size3{font-size:.337512em}.katex .fontsize-ensurer.reset-size10.size4,.katex .sizing.reset-size10.size4{font-size:.385728em}.katex .fontsize-ensurer.reset-size10.size5,.katex .sizing.reset-size10.size5{font-size:.433944em}.katex .fontsize-ensurer.reset-size10.size6,.katex .sizing.reset-size10.size6{font-size:.48216em}.katex .fontsize-ensurer.reset-size10.size7,.katex .sizing.reset-size10.size7{font-size:.578592em}.katex .fontsize-ensurer.reset-size10.size8,.katex .sizing.reset-size10.size8{font-size:.694311em}.katex .fontsize-ensurer.reset-size10.size9,.katex .sizing.reset-size10.size9{font-size:.833173em}.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:1.19961em}.katex .fontsize-ensurer.reset-size11.size1,.katex .sizing.reset-size11.size1{font-size:.200965em}.katex .fontsize-ensurer.reset-size11.size2,.katex .sizing.reset-size11.size2{font-size:.241158em}.katex .fontsize-ensurer.reset-size11.size3,.katex .sizing.reset-size11.size3{font-size:.281351em}.katex .fontsize-ensurer.reset-size11.size4,.katex .sizing.reset-size11.size4{font-size:.321543em}.katex .fontsize-ensurer.reset-size11.size5,.katex .sizing.reset-size11.size5{font-size:.361736em}.katex .fontsize-ensurer.reset-size11.size6,.katex .sizing.reset-size11.size6{font-size:.401929em}.katex .fontsize-ensurer.reset-size11.size7,.katex .sizing.reset-size11.size7{font-size:.482315em}.katex .fontsize-ensurer.reset-size11.size8,.katex .sizing.reset-size11.size8{font-size:.578778em}.katex .fontsize-ensurer.reset-size11.size9,.katex .sizing.reset-size11.size9{font-size:.694534em}.katex .fontsize-ensurer.reset-size11.size10,.katex .sizing.reset-size11.size10{font-size:.833601em}.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{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 .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{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 .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{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 .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{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>.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}