*{box-sizing:border-box}html,body{height:100%;margin:0}html{color-scheme:dark}html[data-theme=light]{color-scheme:light}:root{--bg:#08090a;--panel:#0f1011;--surface:#191a1b;--surface-hover:#242529;--text:#f7f8f8;--text-2:#d0d6e0;--muted:#8a8f98;--faint:#62666d;--border:rgba(255,255,255,.08);--border-soft:rgba(255,255,255,.05);--accent:#7170ff;--accent-bg:#5e6ad2;--accent-hover:#828fff;--code:#121316;--quote:#15161a;--table-alt:rgba(255,255,255,.025);--selection:rgba(113,112,255,.32);--danger:#ef7b7b;--success:#10b981;--shadow:0 10px 30px rgba(0,0,0,.28);--sans:Inter,ui-sans-serif,-apple-system,BlinkMacSystemFont,"Segoe UI",Roboto,Arial,sans-serif;--mono:"Cascadia Code","JetBrains Mono",ui-monospace,SFMono-Regular,Consolas,"Liberation Mono",monospace}html[data-theme=light]{--bg:#eef0f4;--panel:#fff;--surface:#f5f6f8;--surface-hover:#e9ebef;--text:#17181a;--text-2:#35383e;--muted:#666b74;--faint:#8b9099;--border:rgba(18,20,24,.12);--border-soft:rgba(18,20,24,.07);--accent:#5554d9;--accent-bg:#5e6ad2;--accent-hover:#4544c4;--code:#f5f6f8;--quote:#f5f6f8;--table-alt:rgba(20,25,35,.025);--selection:rgba(94,106,210,.2);--shadow:0 10px 30px rgba(22,25,33,.1)}body{display:grid;grid-template-rows:58px 46px minmax(0,1fr) 28px;overflow:hidden;background:var(--bg);color:var(--text);font-family:var(--sans);font-feature-settings:"cv01","ss03";font-size:14px}.app-bar{display:flex;align-items:center;justify-content:space-between;gap:16px;padding:0 18px;background:var(--panel);border-bottom:1px solid var(--border-soft)}.brand{display:flex;align-items:center;gap:11px;min-width:0}.brand-mark{display:grid;place-items:center;width:34px;height:34px;border:1px solid var(--border);border-radius:9px;background:linear-gradient(145deg,#7170ff3d,#7170ff0d);color:#a7a6ff;box-shadow:inset 0 1px #ffffff14}.brand-mark svg{width:22px}.brand strong{display:block;font-size:14px;font-weight:600;letter-spacing:-.15px}.brand-subtitle{display:block;color:var(--muted);font-size:11px;margin-top:1px}.toolbar{display:flex;align-items:center;gap:8px}.toolbar-divider{width:1px;height:22px;background:var(--border);margin:0 2px}.button,.icon-button,.tab{border:1px solid var(--border);background:#ffffff06;color:var(--text-2);font:500 13px var(--sans);border-radius:7px;cursor:pointer;transition:background .15s,border-color .15s,color .15s,transform .1s}.button{height:34px;padding:0 11px;display:inline-flex;align-items:center;gap:7px}.button-primary{background:var(--accent-bg);border-color:transparent;color:#fff}.button:hover,.icon-button:hover{background:var(--surface-hover);color:var(--text);border-color:#7170ff73}.button-primary:hover{background:var(--accent-hover)}.button:active,.icon-button:active{transform:translateY(1px)}button:focus-visible,.tab:focus-visible,textarea:focus-visible{outline:2px solid var(--accent);outline-offset:2px}.button svg,.tab svg{width:16px;height:16px}.icon-button{width:34px;height:34px;padding:0;display:grid;place-items:center}.icon-button svg{width:17px}.icon-moon,html[data-theme=light] .icon-sun{display:none}html[data-theme=light] .icon-moon{display:block}svg{fill:none;stroke:currentColor;stroke-width:1.7;stroke-linecap:round;stroke-linejoin:round}.tabs{display:flex;align-items:end;gap:2px;padding:0 18px;background:var(--panel);border-bottom:1px solid var(--border-soft)}.tab{position:relative;display:flex;align-items:center;gap:7px;height:46px;padding:0 15px;border:0;border-radius:0;background:transparent;color:var(--muted)}.tab:hover{color:var(--text-2);background:#ffffff06}.tab.is-active{color:var(--text)}.tab.is-active:after{content:"";position:absolute;left:10px;right:10px;bottom:-1px;height:2px;border-radius:2px 2px 0 0;background:var(--accent)}.dirty-indicator{align-self:center;margin-left:auto;color:var(--muted);font-size:11px}.dirty-indicator:before{content:"";display:inline-block;width:6px;height:6px;margin-right:6px;border-radius:50%;background:#e5ad55}.workspace{position:relative;min-height:0;overflow:hidden;background:var(--bg)}.workspace.is-split{display:grid;grid-template-columns:minmax(240px,var(--split-position,50%)) 7px minmax(240px,1fr)}.workspace.is-split .preview-panel{grid-column:1}.workspace.is-split .split-resizer{grid-column:2}.workspace.is-split .source-panel{grid-column:3}.workspace.is-resizing{cursor:col-resize;user-select:none}.panel{height:100%;overflow:auto}.split-resizer{position:relative;z-index:4;width:7px;height:100%;cursor:col-resize;background:var(--panel);border-left:1px solid var(--border-soft);border-right:1px solid var(--border-soft);touch-action:none}.split-resizer:hover,.split-resizer:focus-visible{background:#7170ff24;outline:none}.split-resizer span{position:absolute;top:50%;left:50%;width:3px;height:42px;border-radius:3px;transform:translate(-50%,-50%);background:var(--faint);opacity:.65}.workspace.is-split .markdown-body{padding-left:32px;padding-right:32px}.workspace.is-split #source-editor{padding:28px 24px}.preview-panel{position:relative;scrollbar-gutter:stable}.empty-state{position:absolute;inset:0;display:grid;place-items:center;pointer-events:none}.empty-state[hidden]{display:none}.empty-watermark{display:flex;flex-direction:column;align-items:center;gap:14px;color:var(--faint);opacity:.42;font-size:clamp(15px,2vw,20px);font-weight:500;letter-spacing:-.02em;text-align:center}.empty-watermark svg{width:clamp(54px,7vw,76px);height:clamp(54px,7vw,76px);stroke-width:1.15}.markdown-body{max-width:980px;min-height:100%;margin:0 auto;padding:48px 64px 80px;color:var(--text-2);font-size:16px;line-height:1.68;overflow-wrap:anywhere}.markdown-body>:first-child{margin-top:0}.markdown-body>:last-child{margin-bottom:0}.markdown-body h1,.markdown-body h2,.markdown-body h3,.markdown-body h4,.markdown-body h5,.markdown-body h6{position:relative;color:var(--text);font-weight:600;line-height:1.25;letter-spacing:-.025em;margin:1.65em 0 .7em}.markdown-body h1{font-size:2.35em;padding-bottom:.35em;border-bottom:1px solid var(--border)}.markdown-body h2{font-size:1.72em;padding-bottom:.3em;border-bottom:1px solid var(--border-soft)}.markdown-body h3{font-size:1.34em}.markdown-body h4{font-size:1.1em}.markdown-body .header-anchor{position:absolute;right:100%;padding-right:.45em;color:var(--faint);text-decoration:none;opacity:0}.markdown-body h1:hover .header-anchor,.markdown-body h2:hover .header-anchor,.markdown-body h3:hover .header-anchor{opacity:1}.markdown-body p,.markdown-body ul,.markdown-body ol,.markdown-body blockquote,.markdown-body table,.markdown-body pre,.markdown-body dl{margin:0 0 1.15em}.markdown-body a{color:#8f9cff;text-decoration:none}.markdown-body a:hover{text-decoration:underline}.markdown-body strong{color:var(--text);font-weight:600}.markdown-body hr{height:1px;border:0;background:var(--border);margin:2.25em 0}.markdown-body blockquote{margin-left:0;padding:.15em 1.1em;border-left:3px solid var(--accent);background:var(--quote);color:var(--muted);border-radius:0 6px 6px 0}.markdown-body blockquote>:last-child{margin-bottom:0}.markdown-body code{padding:.16em .38em;border:1px solid var(--border-soft);border-radius:4px;background:var(--code);color:#e7b0ff;font:.88em/1.5 var(--mono)}.markdown-body pre{position:relative;padding:17px 19px;border:1px solid var(--border);border-radius:8px;background:var(--code);overflow:auto;box-shadow:inset 0 1px #ffffff05}.markdown-body pre code{padding:0;border:0;background:transparent;color:inherit;font-size:13px}.markdown-body .hljs{color:#c9d1d9}.hljs-keyword,.hljs-selector-tag,.hljs-literal{color:#ff7b9d}.hljs-string,.hljs-attr{color:#a5d6ff}.hljs-title,.hljs-function{color:#d2a8ff}.hljs-number,.hljs-variable{color:#79c0ff}.hljs-comment,.hljs-quote{color:#8b949e;font-style:italic}.hljs-built_in,.hljs-type{color:#ffa657}.markdown-body table{display:block;width:max-content;max-width:100%;border-collapse:collapse;overflow:auto;font-size:.94em}.markdown-body th,.markdown-body td{padding:9px 13px;border:1px solid var(--border);text-align:left}.markdown-body th{background:var(--surface);color:var(--text);font-weight:600}.markdown-body tr:nth-child(2n){background:var(--table-alt)}.markdown-body img{display:block;max-width:100%;height:auto;margin:1.4em auto;border-radius:8px}.markdown-body ul,.markdown-body ol{padding-left:1.7em}.markdown-body li+li{margin-top:.25em}.markdown-body .task-list-item{list-style:none;margin-left:-1.45em}.markdown-body .task-list-item-checkbox{width:15px;height:15px;margin:0 .55em 0 0;accent-color:var(--accent);vertical-align:-2px}.markdown-body mark{padding:.05em .18em;border-radius:3px;background:#65551c;color:#fff1a8}.markdown-body ins{text-decoration-color:var(--success);text-underline-offset:3px}.markdown-body dt{font-weight:600;color:var(--text)}.markdown-body dd{margin:.25em 0 1em 1.2em;color:var(--muted)}.markdown-body abbr{cursor:help;text-decoration:underline dotted}.markdown-body .footnotes{margin-top:3em;padding-top:1em;border-top:1px solid var(--border);font-size:.9em;color:var(--muted)}.markdown-body .table-of-contents{padding:14px 18px;border:1px solid var(--border);border-radius:8px;background:var(--surface)}.markdown-body .mermaid{display:flex;justify-content:center;background:var(--surface);color:var(--text);white-space:pre-wrap}.markdown-body .mermaid svg{max-width:100%;height:auto}.source-panel{position:relative;overflow:hidden;background:var(--code)}#source-editor{position:relative;z-index:1;display:block;width:100%;height:100%;resize:none;border:0;padding:30px max(30px,calc((100vw - 1100px)/2));background:transparent;color:var(--text-2);caret-color:var(--accent);font:14px/1.7 var(--mono);tab-size:2;white-space:pre-wrap;overflow-wrap:break-word;overflow:auto}.source-measure{position:absolute;left:0;top:0;z-index:-1;visibility:hidden;pointer-events:none;color:transparent;font:14px/1.7 var(--mono);tab-size:2;white-space:pre-wrap;overflow-wrap:break-word}.source-measure-line{display:block;min-height:1.7em;white-space:pre-wrap;overflow-wrap:break-word}#source-editor::selection,.markdown-body ::selection{background:var(--selection)}.drop-overlay{position:absolute;inset:12px;z-index:10;display:grid;place-items:center;border:2px dashed var(--accent);border-radius:12px;background:#08090ae0;backdrop-filter:blur(8px);opacity:0;visibility:hidden;transition:opacity .15s}.workspace.is-dragging .drop-overlay{opacity:1;visibility:visible}.drop-card{display:flex;flex-direction:column;align-items:center;gap:7px;color:var(--text)}.drop-card svg{width:42px;height:42px;margin-bottom:6px;color:var(--accent)}.drop-card strong{font-size:18px}.drop-card span{color:var(--muted)}.status-bar{display:grid;grid-template-columns:1fr auto 1fr;align-items:center;gap:14px;padding:0 12px;border-top:1px solid var(--border-soft);background:var(--panel);color:var(--faint);font-size:11px;white-space:nowrap}.file-status,.document-stats{display:flex;align-items:center;gap:12px;min-width:0}.file-status{color:var(--muted)}.file-status span:last-child{overflow:hidden;text-overflow:ellipsis}.document-stats{justify-content:flex-end}.status-dot{width:6px;height:6px;border-radius:50%;background:var(--success);box-shadow:0 0 7px #10b9818c}.app-status{color:var(--muted)}.toast{position:fixed;left:50%;bottom:46px;z-index:20;transform:translate(-50%);padding:9px 13px;border:1px solid var(--border);border-radius:7px;background:var(--surface);box-shadow:var(--shadow);color:var(--text-2);font-size:13px}.toast.is-error{border-color:#ef7b7b73;color:#ffb4b4}.sr-only{position:absolute;width:1px;height:1px;padding:0;margin:-1px;overflow:hidden;clip:rect(0,0,0,0);white-space:nowrap;border:0}@media(max-width:700px){body{grid-template-rows:54px 44px minmax(0,1fr) 28px}.app-bar{padding:0 10px}.brand-subtitle,.button span{display:none}.button{width:34px;padding:0;justify-content:center}.toolbar-divider{display:none}.tabs{padding:0 8px}.tab{height:44px;padding:0 12px}.dirty-indicator{font-size:0}.dirty-indicator:before{margin:0}.markdown-body{padding:30px 22px 60px;font-size:15px}.markdown-body .header-anchor{display:none}.status-bar{grid-template-columns:minmax(0,1fr) auto}.app-status{display:none}.document-stats span:nth-child(-n+2){display:none}#source-editor{padding:22px 16px}.toolbar{gap:5px}}@font-face{font-display:block;font-family:KaTeX_AMS;font-style:normal;font-weight:400;src:url("./assets/KaTeX_AMS-Regular-U6PRYMIZ.woff2") format("woff2"),url("./assets/KaTeX_AMS-Regular-CYEKBG2K.woff") format("woff"),url("./assets/KaTeX_AMS-Regular-JKX5W2C4.ttf") format("truetype")}@font-face{font-display:block;font-family:KaTeX_Caligraphic;font-style:normal;font-weight:700;src:url("./assets/KaTeX_Caligraphic-Bold-5QL5CMTE.woff2") format("woff2"),url("./assets/KaTeX_Caligraphic-Bold-WZ3QSGD3.woff") format("woff"),url("./assets/KaTeX_Caligraphic-Bold-ZTS3R3HK.ttf") format("truetype")}@font-face{font-display:block;font-family:KaTeX_Caligraphic;font-style:normal;font-weight:400;src:url("./assets/KaTeX_Caligraphic-Regular-KX5MEWCF.woff2") format("woff2"),url("./assets/KaTeX_Caligraphic-Regular-3LKEU76G.woff") format("woff"),url("./assets/KaTeX_Caligraphic-Regular-A7XRTZ5Q.ttf") format("truetype")}@font-face{font-display:block;font-family:KaTeX_Fraktur;font-style:normal;font-weight:700;src:url("./assets/KaTeX_Fraktur-Bold-2QVFK6NQ.woff2") format("woff2"),url("./assets/KaTeX_Fraktur-Bold-T4SWXBMT.woff") format("woff"),url("./assets/KaTeX_Fraktur-Bold-WGHVTYOR.ttf") format("truetype")}@font-face{font-display:block;font-family:KaTeX_Fraktur;font-style:normal;font-weight:400;src:url("./assets/KaTeX_Fraktur-Regular-2PEIFJSJ.woff2") format("woff2"),url("./assets/KaTeX_Fraktur-Regular-PQMHCIK6.woff") format("woff"),url("./assets/KaTeX_Fraktur-Regular-5U4OPH2X.ttf") format("truetype")}@font-face{font-display:block;font-family:KaTeX_Main;font-style:normal;font-weight:700;src:url("./assets/KaTeX_Main-Bold-YP5VVQRP.woff2") format("woff2"),url("./assets/KaTeX_Main-Bold-2GA4IZIN.woff") format("woff"),url("./assets/KaTeX_Main-Bold-W5FBVCZM.ttf") format("truetype")}@font-face{font-display:block;font-family:KaTeX_Main;font-style:italic;font-weight:700;src:url("./assets/KaTeX_Main-BoldItalic-N4V3DX7S.woff2") format("woff2"),url("./assets/KaTeX_Main-BoldItalic-4P4C7HJH.woff") format("woff"),url("./assets/KaTeX_Main-BoldItalic-ODMLBJJQ.ttf") format("truetype")}@font-face{font-display:block;font-family:KaTeX_Main;font-style:italic;font-weight:400;src:url("./assets/KaTeX_Main-Italic-RELBIK7M.woff2") format("woff2"),url("./assets/KaTeX_Main-Italic-SASNQFN2.woff") format("woff"),url("./assets/KaTeX_Main-Italic-I43T2HSR.ttf") format("truetype")}@font-face{font-display:block;font-family:KaTeX_Main;font-style:normal;font-weight:400;src:url("./assets/KaTeX_Main-Regular-ARRPAO67.woff2") format("woff2"),url("./assets/KaTeX_Main-Regular-P5I74A2A.woff") format("woff"),url("./assets/KaTeX_Main-Regular-W74P5G27.ttf") format("truetype")}@font-face{font-display:block;font-family:KaTeX_Math;font-style:italic;font-weight:700;src:url("./assets/KaTeX_Math-BoldItalic-K4WTGH3J.woff2") format("woff2"),url("./assets/KaTeX_Math-BoldItalic-6EBV3DK5.woff") format("woff"),url("./assets/KaTeX_Math-BoldItalic-VB447A4D.ttf") format("truetype")}@font-face{font-display:block;font-family:KaTeX_Math;font-style:italic;font-weight:400;src:url("./assets/KaTeX_Math-Italic-6KGCHLFN.woff2") format("woff2"),url("./assets/KaTeX_Math-Italic-KKK3USB2.woff") format("woff"),url("./assets/KaTeX_Math-Italic-SON4MRCA.ttf") format("truetype")}@font-face{font-display:block;font-family:KaTeX_SansSerif;font-style:normal;font-weight:700;src:url("./assets/KaTeX_SansSerif-Bold-RRNVJFFW.woff2") format("woff2"),url("./assets/KaTeX_SansSerif-Bold-X5M5EMOD.woff") format("woff"),url("./assets/KaTeX_SansSerif-Bold-STQ6RXC7.ttf") format("truetype")}@font-face{font-display:block;font-family:KaTeX_SansSerif;font-style:italic;font-weight:400;src:url("./assets/KaTeX_SansSerif-Italic-HMPFTM52.woff2") format("woff2"),url("./assets/KaTeX_SansSerif-Italic-PSN4QKYX.woff") format("woff"),url("./assets/KaTeX_SansSerif-Italic-WTBAZBGY.ttf") format("truetype")}@font-face{font-display:block;font-family:KaTeX_SansSerif;font-style:normal;font-weight:400;src:url("./assets/KaTeX_SansSerif-Regular-XIQ62X4E.woff2") format("woff2"),url("./assets/KaTeX_SansSerif-Regular-OQCII6EP.woff") format("woff"),url("./assets/KaTeX_SansSerif-Regular-2TL3USAE.ttf") format("truetype")}@font-face{font-display:block;font-family:KaTeX_Script;font-style:normal;font-weight:400;src:url("./assets/KaTeX_Script-Regular-APUWIHLP.woff2") format("woff2"),url("./assets/KaTeX_Script-Regular-A5IFOEBS.woff") format("woff"),url("./assets/KaTeX_Script-Regular-72OLXYNA.ttf") format("truetype")}@font-face{font-display:block;font-family:KaTeX_Size1;font-style:normal;font-weight:400;src:url("./assets/KaTeX_Size1-Regular-5LRUTBFT.woff2") format("woff2"),url("./assets/KaTeX_Size1-Regular-4HRHTS65.woff") format("woff"),url("./assets/KaTeX_Size1-Regular-7K6AASVL.ttf") format("truetype")}@font-face{font-display:block;font-family:KaTeX_Size2;font-style:normal;font-weight:400;src:url("./assets/KaTeX_Size2-Regular-LELKET5D.woff2") format("woff2"),url("./assets/KaTeX_Size2-Regular-K5ZHAIS6.woff") format("woff"),url("./assets/KaTeX_Size2-Regular-222HN3GT.ttf") format("truetype")}@font-face{font-display:block;font-family:KaTeX_Size3;font-style:normal;font-weight:400;src:url("./assets/KaTeX_Size3-Regular-WQRQ47UD.woff2") format("woff2"),url("./assets/KaTeX_Size3-Regular-TLFPAHDE.woff") format("woff"),url("./assets/KaTeX_Size3-Regular-UFCO6WCA.ttf") format("truetype")}@font-face{font-display:block;font-family:KaTeX_Size4;font-style:normal;font-weight:400;src:url("./assets/KaTeX_Size4-Regular-CDMV7U5C.woff2") format("woff2"),url("./assets/KaTeX_Size4-Regular-PKMWZHNC.woff") format("woff"),url("./assets/KaTeX_Size4-Regular-7PGNVPQK.ttf") format("truetype")}@font-face{font-display:block;font-family:KaTeX_Typewriter;font-style:normal;font-weight:400;src:url("./assets/KaTeX_Typewriter-Regular-VBYJ4NRC.woff2") format("woff2"),url("./assets/KaTeX_Typewriter-Regular-MJMFSK64.woff") format("woff"),url("./assets/KaTeX_Typewriter-Regular-3F5K6SQ6.ttf") format("truetype")}.katex{font: 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:"0.18.7"}.katex .katex-mathml{border:0;-webkit-clip-path:inset(50%);clip-path:inset(50%);height:1px;overflow:hidden;padding:0;position:absolute;width:1px}.katex .katex-html>.katex-newline{display:block}.katex .katex-base{position:relative;white-space:nowrap;width:-webkit-min-content;width:-moz-min-content;width:min-content}.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;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 .katex-vbox{align-items:baseline;display:inline-flex;flex-direction:column}.katex .katex-thinbox{display:inline-flex;flex-direction:row;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 .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{display:inline;line-height:0}.katex .clap,.katex .llap,.katex .rlap{position:relative;width:0}.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;display:inline-block;width:100%}.katex .katex-hdashline{border-bottom-style:dashed;display:inline-block;width:100%}.katex .sqrt>.katex-root{margin-left:.2777777778em;margin-right:-.5555555556em}.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:.8333333333em}.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:1.1666666667em}.katex .fontsize-ensurer.reset-size2.size4,.katex .katex-sizing.reset-size2.size4{font-size:1.3333333333em}.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:1.6666666667em}.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:3.4566666667em}.katex .fontsize-ensurer.reset-size2.size11,.katex .katex-sizing.reset-size2.size11{font-size:4.1466666667em}.katex .fontsize-ensurer.reset-size3.size1,.katex .katex-sizing.reset-size3.size1{font-size:.7142857143em}.katex .fontsize-ensurer.reset-size3.size2,.katex .katex-sizing.reset-size3.size2{font-size:.8571428571em}.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:1.1428571429em}.katex .fontsize-ensurer.reset-size3.size5,.katex .katex-sizing.reset-size3.size5{font-size:1.2857142857em}.katex .fontsize-ensurer.reset-size3.size6,.katex .katex-sizing.reset-size3.size6{font-size:1.4285714286em}.katex .fontsize-ensurer.reset-size3.size7,.katex .katex-sizing.reset-size3.size7{font-size:1.7142857143em}.katex .fontsize-ensurer.reset-size3.size8,.katex .katex-sizing.reset-size3.size8{font-size:2.0571428571em}.katex .fontsize-ensurer.reset-size3.size9,.katex .katex-sizing.reset-size3.size9{font-size:2.4685714286em}.katex .fontsize-ensurer.reset-size3.size10,.katex .katex-sizing.reset-size3.size10{font-size:2.9628571429em}.katex .fontsize-ensurer.reset-size3.size11,.katex .katex-sizing.reset-size3.size11{font-size:3.5542857143em}.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:.5555555556em}.katex .fontsize-ensurer.reset-size5.size2,.katex .katex-sizing.reset-size5.size2{font-size:.6666666667em}.katex .fontsize-ensurer.reset-size5.size3,.katex .katex-sizing.reset-size5.size3{font-size:.7777777778em}.katex .fontsize-ensurer.reset-size5.size4,.katex .katex-sizing.reset-size5.size4{font-size:.8888888889em}.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:1.1111111111em}.katex .fontsize-ensurer.reset-size5.size7,.katex .katex-sizing.reset-size5.size7{font-size:1.3333333333em}.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:2.3044444444em}.katex .fontsize-ensurer.reset-size5.size11,.katex .katex-sizing.reset-size5.size11{font-size:2.7644444444em}.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:.4166666667em}.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:.5833333333em}.katex .fontsize-ensurer.reset-size7.size4,.katex .katex-sizing.reset-size7.size4{font-size:.6666666667em}.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:.8333333333em}.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:1.7283333333em}.katex .fontsize-ensurer.reset-size7.size11,.katex .katex-sizing.reset-size7.size11{font-size:2.0733333333em}.katex .fontsize-ensurer.reset-size8.size1,.katex .katex-sizing.reset-size8.size1{font-size:.3472222222em}.katex .fontsize-ensurer.reset-size8.size2,.katex .katex-sizing.reset-size8.size2{font-size:.4166666667em}.katex .fontsize-ensurer.reset-size8.size3,.katex .katex-sizing.reset-size8.size3{font-size:.4861111111em}.katex .fontsize-ensurer.reset-size8.size4,.katex .katex-sizing.reset-size8.size4{font-size:.5555555556em}.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:.6944444444em}.katex .fontsize-ensurer.reset-size8.size7,.katex .katex-sizing.reset-size8.size7{font-size:.8333333333em}.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:1.4402777778em}.katex .fontsize-ensurer.reset-size8.size11,.katex .katex-sizing.reset-size8.size11{font-size:1.7277777778em}.katex .fontsize-ensurer.reset-size9.size1,.katex .katex-sizing.reset-size9.size1{font-size:.2893518519em}.katex .fontsize-ensurer.reset-size9.size2,.katex .katex-sizing.reset-size9.size2{font-size:.3472222222em}.katex .fontsize-ensurer.reset-size9.size3,.katex .katex-sizing.reset-size9.size3{font-size:.4050925926em}.katex .fontsize-ensurer.reset-size9.size4,.katex .katex-sizing.reset-size9.size4{font-size:.462962963em}.katex .fontsize-ensurer.reset-size9.size5,.katex .katex-sizing.reset-size9.size5{font-size:.5208333333em}.katex .fontsize-ensurer.reset-size9.size6,.katex .katex-sizing.reset-size9.size6{font-size:.5787037037em}.katex .fontsize-ensurer.reset-size9.size7,.katex .katex-sizing.reset-size9.size7{font-size:.6944444444em}.katex .fontsize-ensurer.reset-size9.size8,.katex .katex-sizing.reset-size9.size8{font-size:.8333333333em}.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:1.2002314815em}.katex .fontsize-ensurer.reset-size9.size11,.katex .katex-sizing.reset-size9.size11{font-size:1.4398148148em}.katex .fontsize-ensurer.reset-size10.size1,.katex .katex-sizing.reset-size10.size1{font-size:.2410800386em}.katex .fontsize-ensurer.reset-size10.size2,.katex .katex-sizing.reset-size10.size2{font-size:.2892960463em}.katex .fontsize-ensurer.reset-size10.size3,.katex .katex-sizing.reset-size10.size3{font-size:.337512054em}.katex .fontsize-ensurer.reset-size10.size4,.katex .katex-sizing.reset-size10.size4{font-size:.3857280617em}.katex .fontsize-ensurer.reset-size10.size5,.katex .katex-sizing.reset-size10.size5{font-size:.4339440694em}.katex .fontsize-ensurer.reset-size10.size6,.katex .katex-sizing.reset-size10.size6{font-size:.4821600771em}.katex .fontsize-ensurer.reset-size10.size7,.katex .katex-sizing.reset-size10.size7{font-size:.5785920926em}.katex .fontsize-ensurer.reset-size10.size8,.katex .katex-sizing.reset-size10.size8{font-size:.6943105111em}.katex .fontsize-ensurer.reset-size10.size9,.katex .katex-sizing.reset-size10.size9{font-size:.8331726133em}.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:1.1996142719em}.katex .fontsize-ensurer.reset-size11.size1,.katex .katex-sizing.reset-size11.size1{font-size:.2009646302em}.katex .fontsize-ensurer.reset-size11.size2,.katex .katex-sizing.reset-size11.size2{font-size:.2411575563em}.katex .fontsize-ensurer.reset-size11.size3,.katex .katex-sizing.reset-size11.size3{font-size:.2813504823em}.katex .fontsize-ensurer.reset-size11.size4,.katex .katex-sizing.reset-size11.size4{font-size:.3215434084em}.katex .fontsize-ensurer.reset-size11.size5,.katex .katex-sizing.reset-size11.size5{font-size:.3617363344em}.katex .fontsize-ensurer.reset-size11.size6,.katex .katex-sizing.reset-size11.size6{font-size:.4019292605em}.katex .fontsize-ensurer.reset-size11.size7,.katex .katex-sizing.reset-size11.size7{font-size:.4823151125em}.katex .fontsize-ensurer.reset-size11.size8,.katex .katex-sizing.reset-size11.size8{font-size:.578778135em}.katex .fontsize-ensurer.reset-size11.size9,.katex .katex-sizing.reset-size11.size9{font-size:.6945337621em}.katex .fontsize-ensurer.reset-size11.size10,.katex .katex-sizing.reset-size11.size10{font-size:.8336012862em}.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{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 .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{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 .katex-stretchy{display:block;overflow:hidden;position:relative;width:100%}.katex .katex-stretchy:after,.katex .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 .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 .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{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>.katex-tag{position:absolute;right:0}.katex-display.leqno>.katex>.katex-html>.katex-tag{left:0;right:auto}.katex-display.fleqn>.katex{padding-left:2em;text-align:left}body{counter-reset:katexEqnNo mmlEqnNo}
