.cu{--cu-bg: var(--chat-bg);--cu-rail: var(--chat-rail);--cu-surface: var(--chat-surface);--cu-surface-hi: var(--chat-surface-hi);--cu-pop: var(--chat-pop);--cu-text: var(--chat-text);--cu-dim: var(--chat-dim);--cu-faint: var(--chat-faint);--cu-line: var(--chat-line);--cu-steel: var(--steel);--cu-live: var(--live);--cu-ease: cubic-bezier(.2, 0, 0, 1)}.cu,.cu input,.cu textarea,.cu button{font-family:var(--font-inter),system-ui,sans-serif;-webkit-font-smoothing:antialiased;-webkit-text-stroke:0;letter-spacing:0}.cu ::selection{background:var(--chat-selection)}.cu [role=dialog],.cu [role=dialog] button,.cu [role=dialog] input{font-family:var(--font-inter),system-ui,sans-serif!important;letter-spacing:0!important;-webkit-font-smoothing:antialiased!important;text-rendering:optimizeLegibility!important}.cu-fade{animation:cuFade .2s var(--cu-ease) both}@keyframes cuFade{0%{opacity:0}to{opacity:1}}.cu-scroll{scrollbar-width:thin;scrollbar-color:var(--chat-scroll) transparent}.cu-scroll::-webkit-scrollbar{width:10px}.cu-scroll::-webkit-scrollbar-thumb{background:var(--chat-scroll-thumb);border-radius:99px;border:3px solid transparent;background-clip:content-box}.cu-scroll::-webkit-scrollbar-thumb:hover{background:var(--chat-scroll-thumb-hi);background-clip:content-box}.cu-answer{color:var(--cu-text);font-size:16px;line-height:1.7}.cu-answer>*+*{margin-top:1.05em}.cu-answer>:first-child{margin-top:0}.cu-answer>:last-child{margin-bottom:0}.cu-answer strong{font-weight:600;color:var(--chat-strong)}.cu-answer em{font-style:italic}.cu-answer a{color:var(--cu-steel);text-decoration:none;border-bottom:1px solid var(--chat-link-rule)}.cu-answer a:hover{border-bottom-color:var(--cu-steel)}.cu-answer h1,.cu-answer h2,.cu-answer h3,.cu-answer h4{font-weight:600;color:var(--chat-strong);line-height:1.35;letter-spacing:-.01em}.cu-answer>h1+*,.cu-answer>h2+*,.cu-answer>h3+*,.cu-answer>h4+*{margin-top:.5em}.cu-answer>*+h1,.cu-answer>*+h2,.cu-answer>*+h3,.cu-answer>*+h4{margin-top:1.7em}.cu-answer h1{font-size:1.3em}.cu-answer h2{font-size:1.17em}.cu-answer h3{font-size:1.06em}.cu-answer h4{font-size:1em}.cu-answer ul,.cu-answer ol{padding-left:1.3em}.cu-answer li+li{margin-top:.35em}.cu-answer li::marker{color:var(--cu-faint)}.cu-answer ul>li{list-style:disc}.cu-answer ol>li{list-style:decimal}.cu-answer li>ul,.cu-answer li>ol{margin-top:.35em}.cu-answer li>p{margin:0}.cu-answer blockquote{padding-left:1em;border-left:2px solid var(--cu-line);color:var(--cu-dim)}.cu-answer :not(pre)>code{font-family:ui-monospace,SFMono-Regular,Menlo,monospace;font-size:.875em;background:var(--chat-code-inline);padding:.15em .4em;border-radius:5px}.cu-code{margin-top:1.3em;margin-bottom:1.3em;border-radius:14px;background:var(--chat-code-block);overflow:hidden}.cu-code-bar{display:flex;align-items:center;justify-content:space-between;padding:7px 10px 7px 16px;font-size:12px;color:var(--cu-faint)}.cu-code-copy{display:inline-flex;align-items:center;gap:6px;padding:4px 8px;border-radius:8px;color:var(--cu-faint);opacity:0;transition:opacity .15s var(--cu-ease),color .15s var(--cu-ease),background .15s var(--cu-ease)}.cu-code:hover .cu-code-copy,.cu-code-copy:focus-visible{opacity:1}.cu-code-copy:hover{color:var(--cu-text);background:var(--chat-code-hover)}@media(hover:none){.cu-code-copy{opacity:1}}.cu-code pre{margin:0;padding:2px 16px 16px;overflow-x:auto;line-height:1.6}.cu-code pre code{font-family:ui-monospace,SFMono-Regular,Menlo,monospace;font-size:13.5px;color:var(--chat-code-fg)}.cu-tablewrap{margin-top:1.3em;margin-bottom:1.3em;overflow-x:auto;border-radius:12px;border:1px solid var(--cu-line)}.cu-answer table{width:100%;border-collapse:collapse;font-size:14.5px}.cu-answer th,.cu-answer td{text-align:left;padding:10px 14px;border-bottom:1px solid var(--cu-line)}.cu-answer th{font-weight:600;color:var(--chat-strong);background:var(--chat-th-fill);white-space:nowrap}.cu-answer tbody tr:last-child td{border-bottom:0}.cu-math{margin-top:1.2em;margin-bottom:1.2em;overflow-x:auto;overflow-y:hidden;padding:2px 0}.cu-math .katex-display{margin:0}.cu-answer .katex{font-size:1.05em}.cu-answer hr{border:0;border-top:1px solid var(--cu-line);margin:1.8em 0}.cu-answer img{border-radius:14px;max-width:100%}.cu-cite{display:inline-flex;align-items:center;justify-content:center;min-width:16px;height:16px;padding:0 4px;margin:0 2px;border:0;border-radius:99px;background:var(--chat-cite);color:var(--cu-dim);font-size:10px;vertical-align:super;transition:background .15s var(--cu-ease),color .15s var(--cu-ease)}.cu-cite:hover{background:var(--chat-cite-hi);color:var(--chat-strong)}.cu-src{display:inline-flex;align-items:center;gap:6px;max-width:200px;padding:4px 9px;border-radius:99px;background:var(--cu-surface);color:var(--cu-dim);font-size:12px;transition:background .15s var(--cu-ease),color .15s var(--cu-ease)}.cu-src:hover{background:var(--cu-surface-hi);color:var(--cu-text)}.cu-src-n{color:var(--cu-faint);font-size:11px}.cu-caret{display:inline-block;width:7px;height:1.05em;vertical-align:-.16em;margin-left:2px;border-radius:2px;background:var(--chat-caret);animation:cuBlink 1.1s steps(2,start) infinite}@keyframes cuBlink{0%,50%{opacity:1}50.01%,to{opacity:.15}}.cu-dots span{display:inline-block;width:5px;height:5px;border-radius:99px;background:var(--cu-faint);margin-right:4px;animation:cuPulse 1.3s var(--cu-ease) infinite}.cu-dots span:nth-child(2){animation-delay:.16s}.cu-dots span:nth-child(3){animation-delay:.32s}@keyframes cuPulse{0%,to{opacity:.25}50%{opacity:.9}}.cu-answer-wrap details,.cu-answer-wrap summary{color:var(--cu-dim)}.cu-chip{background:var(--cu-surface);border-radius:99px;transition:background-color .15s var(--cu-ease)}.cu-chip:hover{background:var(--cu-surface-hi)}.cu-followups .cu-chip{background-color:var(--cu-bg);background-image:linear-gradient(var(--cu-surface),var(--cu-surface))}.cu-followups .cu-chip:hover{background-image:linear-gradient(var(--cu-surface-hi),var(--cu-surface-hi))}@media(hover:none){.cu-quiet{opacity:1}}@media(max-height:520px){.cu .cu-composer{padding-top:0;padding-bottom:.5rem}.cu-composer .cu-field{padding-top:.625rem;max-height:6rem}.cu-composer .cu-bar{padding-bottom:.5rem;padding-top:.25rem}}@media(prefers-reduced-motion:reduce){.cu-fade,.cu-caret,.cu-dots span{animation:none!important}}@font-face{font-display:block;font-family:KaTeX_AMS;font-style:normal;font-weight:400;src:url("./KaTeX_AMS-Regular-U6PRYMIZ.woff2") format("woff2"),url("./KaTeX_AMS-Regular-CYEKBG2K.woff") format("woff"),url("./KaTeX_AMS-Regular-JKX5W2C4.ttf") format("truetype")}@font-face{font-display:block;font-family:KaTeX_Caligraphic;font-style:normal;font-weight:700;src:url("./KaTeX_Caligraphic-Bold-5QL5CMTE.woff2") format("woff2"),url("./KaTeX_Caligraphic-Bold-WZ3QSGD3.woff") format("woff"),url("./KaTeX_Caligraphic-Bold-ZTS3R3HK.ttf") format("truetype")}@font-face{font-display:block;font-family:KaTeX_Caligraphic;font-style:normal;font-weight:400;src:url("./KaTeX_Caligraphic-Regular-KX5MEWCF.woff2") format("woff2"),url("./KaTeX_Caligraphic-Regular-3LKEU76G.woff") format("woff"),url("./KaTeX_Caligraphic-Regular-A7XRTZ5Q.ttf") format("truetype")}@font-face{font-display:block;font-family:KaTeX_Fraktur;font-style:normal;font-weight:700;src:url("./KaTeX_Fraktur-Bold-2QVFK6NQ.woff2") format("woff2"),url("./KaTeX_Fraktur-Bold-T4SWXBMT.woff") format("woff"),url("./KaTeX_Fraktur-Bold-WGHVTYOR.ttf") format("truetype")}@font-face{font-display:block;font-family:KaTeX_Fraktur;font-style:normal;font-weight:400;src:url("./KaTeX_Fraktur-Regular-2PEIFJSJ.woff2") format("woff2"),url("./KaTeX_Fraktur-Regular-PQMHCIK6.woff") format("woff"),url("./KaTeX_Fraktur-Regular-5U4OPH2X.ttf") format("truetype")}@font-face{font-display:block;font-family:KaTeX_Main;font-style:normal;font-weight:700;src:url("./KaTeX_Main-Bold-YP5VVQRP.woff2") format("woff2"),url("./KaTeX_Main-Bold-2GA4IZIN.woff") format("woff"),url("./KaTeX_Main-Bold-W5FBVCZM.ttf") format("truetype")}@font-face{font-display:block;font-family:KaTeX_Main;font-style:italic;font-weight:700;src:url("./KaTeX_Main-BoldItalic-N4V3DX7S.woff2") format("woff2"),url("./KaTeX_Main-BoldItalic-4P4C7HJH.woff") format("woff"),url("./KaTeX_Main-BoldItalic-ODMLBJJQ.ttf") format("truetype")}@font-face{font-display:block;font-family:KaTeX_Main;font-style:italic;font-weight:400;src:url("./KaTeX_Main-Italic-RELBIK7M.woff2") format("woff2"),url("./KaTeX_Main-Italic-SASNQFN2.woff") format("woff"),url("./KaTeX_Main-Italic-I43T2HSR.ttf") format("truetype")}@font-face{font-display:block;font-family:KaTeX_Main;font-style:normal;font-weight:400;src:url("./KaTeX_Main-Regular-ARRPAO67.woff2") format("woff2"),url("./KaTeX_Main-Regular-P5I74A2A.woff") format("woff"),url("./KaTeX_Main-Regular-W74P5G27.ttf") format("truetype")}@font-face{font-display:block;font-family:KaTeX_Math;font-style:italic;font-weight:700;src:url("./KaTeX_Math-BoldItalic-K4WTGH3J.woff2") format("woff2"),url("./KaTeX_Math-BoldItalic-6EBV3DK5.woff") format("woff"),url("./KaTeX_Math-BoldItalic-VB447A4D.ttf") format("truetype")}@font-face{font-display:block;font-family:KaTeX_Math;font-style:italic;font-weight:400;src:url("./KaTeX_Math-Italic-6KGCHLFN.woff2") format("woff2"),url("./KaTeX_Math-Italic-KKK3USB2.woff") format("woff"),url("./KaTeX_Math-Italic-SON4MRCA.ttf") format("truetype")}@font-face{font-display:block;font-family:KaTeX_SansSerif;font-style:normal;font-weight:700;src:url("./KaTeX_SansSerif-Bold-RRNVJFFW.woff2") format("woff2"),url("./KaTeX_SansSerif-Bold-X5M5EMOD.woff") format("woff"),url("./KaTeX_SansSerif-Bold-STQ6RXC7.ttf") format("truetype")}@font-face{font-display:block;font-family:KaTeX_SansSerif;font-style:italic;font-weight:400;src:url("./KaTeX_SansSerif-Italic-HMPFTM52.woff2") format("woff2"),url("./KaTeX_SansSerif-Italic-PSN4QKYX.woff") format("woff"),url("./KaTeX_SansSerif-Italic-WTBAZBGY.ttf") format("truetype")}@font-face{font-display:block;font-family:KaTeX_SansSerif;font-style:normal;font-weight:400;src:url("./KaTeX_SansSerif-Regular-XIQ62X4E.woff2") format("woff2"),url("./KaTeX_SansSerif-Regular-OQCII6EP.woff") format("woff"),url("./KaTeX_SansSerif-Regular-2TL3USAE.ttf") format("truetype")}@font-face{font-display:block;font-family:KaTeX_Script;font-style:normal;font-weight:400;src:url("./KaTeX_Script-Regular-APUWIHLP.woff2") format("woff2"),url("./KaTeX_Script-Regular-A5IFOEBS.woff") format("woff"),url("./KaTeX_Script-Regular-72OLXYNA.ttf") format("truetype")}@font-face{font-display:block;font-family:KaTeX_Size1;font-style:normal;font-weight:400;src:url("./KaTeX_Size1-Regular-5LRUTBFT.woff2") format("woff2"),url("./KaTeX_Size1-Regular-4HRHTS65.woff") format("woff"),url("./KaTeX_Size1-Regular-7K6AASVL.ttf") format("truetype")}@font-face{font-display:block;font-family:KaTeX_Size2;font-style:normal;font-weight:400;src:url("./KaTeX_Size2-Regular-LELKET5D.woff2") format("woff2"),url("./KaTeX_Size2-Regular-K5ZHAIS6.woff") format("woff"),url("./KaTeX_Size2-Regular-222HN3GT.ttf") format("truetype")}@font-face{font-display:block;font-family:KaTeX_Size3;font-style:normal;font-weight:400;src:url("./KaTeX_Size3-Regular-WQRQ47UD.woff2") format("woff2"),url("./KaTeX_Size3-Regular-TLFPAHDE.woff") format("woff"),url("./KaTeX_Size3-Regular-UFCO6WCA.ttf") format("truetype")}@font-face{font-display:block;font-family:KaTeX_Size4;font-style:normal;font-weight:400;src:url("./KaTeX_Size4-Regular-CDMV7U5C.woff2") format("woff2"),url("./KaTeX_Size4-Regular-PKMWZHNC.woff") format("woff"),url("./KaTeX_Size4-Regular-7PGNVPQK.ttf") format("truetype")}@font-face{font-display:block;font-family:KaTeX_Typewriter;font-style:normal;font-weight:400;src:url("./KaTeX_Typewriter-Regular-VBYJ4NRC.woff2") format("woff2"),url("./KaTeX_Typewriter-Regular-MJMFSK64.woff") format("woff"),url("./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:"0.16.47"}.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>.newline{display:block}.katex .base{position:relative;white-space:nowrap;width:-webkit-min-content;width:-moz-min-content;width:min-content}.katex .base,.katex .strut{display:inline-block}.katex .textbf{font-weight:700}.katex .textit{font-style:italic}.katex .textrm{font-family:KaTeX_Main}.katex .textsf{font-family:KaTeX_SansSerif}.katex .texttt{font-family:KaTeX_Typewriter}.katex .mathnormal{font-family:KaTeX_Math;font-style:italic}.katex .mathit{font-family:KaTeX_Main;font-style:italic}.katex .mathrm{font-style:normal}.katex .mathbf{font-family:KaTeX_Main;font-weight:700}.katex .boldsymbol{font-family:KaTeX_Math;font-style:italic;font-weight:700}.katex .amsrm,.katex .mathbb,.katex .textbb{font-family:KaTeX_AMS}.katex .mathcal{font-family:KaTeX_Caligraphic}.katex .mathfrak,.katex .textfrak{font-family:KaTeX_Fraktur}.katex .mathboldfrak,.katex .textboldfrak{font-family:KaTeX_Fraktur;font-weight:700}.katex .mathtt{font-family:KaTeX_Typewriter}.katex .mathscr,.katex .textscr{font-family:KaTeX_Script}.katex .mathsf,.katex .textsf{font-family:KaTeX_SansSerif}.katex .mathboldsf,.katex .textboldsf{font-family:KaTeX_SansSerif;font-weight:700}.katex .mathitsf,.katex .mathsfit,.katex .textitsf{font-family:KaTeX_SansSerif;font-style:italic}.katex .mainrm{font-family:KaTeX_Main;font-style:normal}.katex .vlist-t{border-collapse:collapse;display:inline-table;table-layout:fixed}.katex .vlist-r{display:table-row}.katex .vlist{display:table-cell;position:relative;vertical-align:bottom}.katex .vlist>span{display:block;height:0;position:relative}.katex .vlist>span>span{display:inline-block}.katex .vlist>span>.pstrut{overflow:hidden;width:0}.katex .vlist-t2{margin-right:-2px}.katex .vlist-s{display:table-cell;font-size:1px;min-width:2px;vertical-align:bottom;width:2px}.katex .vbox{align-items:baseline;display:inline-flex;flex-direction:column}.katex .hbox{width:100%}.katex .hbox,.katex .thinbox{display:inline-flex;flex-direction:row}.katex .thinbox{max-width:0;width:0}.katex .msupsub{text-align:left}.katex .mfrac>span>span{text-align:center}.katex .mfrac .frac-line{border-bottom-style:solid;display:inline-block;width:100%}.katex .hdashline,.katex .hline,.katex .mfrac .frac-line,.katex .overline .overline-line,.katex .rule,.katex .underline .underline-line{min-height:1px}.katex .mspace{display:inline-block}.katex .smash{display:inline;line-height:0}.katex .clap,.katex .llap,.katex .rlap{position:relative;width:0}.katex .clap>.inner,.katex .llap>.inner,.katex .rlap>.inner{position:absolute}.katex .clap>.fix,.katex .llap>.fix,.katex .rlap>.fix{display:inline-block}.katex .llap>.inner{right:0}.katex .clap>.inner,.katex .rlap>.inner{left:0}.katex .clap>.inner>span{margin-left:-50%;margin-right:50%}.katex .rule{border:0 solid;display:inline-block;position:relative}.katex .hline,.katex .overline .overline-line,.katex .underline .underline-line{border-bottom-style:solid;display:inline-block;width:100%}.katex .hdashline{border-bottom-style:dashed;display:inline-block;width:100%}.katex .sqrt>.root{margin-left:.2777777778em;margin-right:-.5555555556em}.katex .fontsize-ensurer.reset-size1.size1,.katex .sizing.reset-size1.size1{font-size:1em}.katex .fontsize-ensurer.reset-size1.size2,.katex .sizing.reset-size1.size2{font-size:1.2em}.katex .fontsize-ensurer.reset-size1.size3,.katex .sizing.reset-size1.size3{font-size:1.4em}.katex .fontsize-ensurer.reset-size1.size4,.katex .sizing.reset-size1.size4{font-size:1.6em}.katex .fontsize-ensurer.reset-size1.size5,.katex .sizing.reset-size1.size5{font-size:1.8em}.katex .fontsize-ensurer.reset-size1.size6,.katex .sizing.reset-size1.size6{font-size:2em}.katex .fontsize-ensurer.reset-size1.size7,.katex .sizing.reset-size1.size7{font-size:2.4em}.katex .fontsize-ensurer.reset-size1.size8,.katex .sizing.reset-size1.size8{font-size:2.88em}.katex .fontsize-ensurer.reset-size1.size9,.katex .sizing.reset-size1.size9{font-size:3.456em}.katex .fontsize-ensurer.reset-size1.size10,.katex .sizing.reset-size1.size10{font-size:4.148em}.katex .fontsize-ensurer.reset-size1.size11,.katex .sizing.reset-size1.size11{font-size:4.976em}.katex .fontsize-ensurer.reset-size2.size1,.katex .sizing.reset-size2.size1{font-size:.8333333333em}.katex .fontsize-ensurer.reset-size2.size2,.katex .sizing.reset-size2.size2{font-size:1em}.katex .fontsize-ensurer.reset-size2.size3,.katex .sizing.reset-size2.size3{font-size:1.1666666667em}.katex .fontsize-ensurer.reset-size2.size4,.katex .sizing.reset-size2.size4{font-size:1.3333333333em}.katex .fontsize-ensurer.reset-size2.size5,.katex .sizing.reset-size2.size5{font-size:1.5em}.katex .fontsize-ensurer.reset-size2.size6,.katex .sizing.reset-size2.size6{font-size:1.6666666667em}.katex .fontsize-ensurer.reset-size2.size7,.katex .sizing.reset-size2.size7{font-size:2em}.katex .fontsize-ensurer.reset-size2.size8,.katex .sizing.reset-size2.size8{font-size:2.4em}.katex .fontsize-ensurer.reset-size2.size9,.katex .sizing.reset-size2.size9{font-size:2.88em}.katex .fontsize-ensurer.reset-size2.size10,.katex .sizing.reset-size2.size10{font-size:3.4566666667em}.katex .fontsize-ensurer.reset-size2.size11,.katex .sizing.reset-size2.size11{font-size:4.1466666667em}.katex .fontsize-ensurer.reset-size3.size1,.katex .sizing.reset-size3.size1{font-size:.7142857143em}.katex .fontsize-ensurer.reset-size3.size2,.katex .sizing.reset-size3.size2{font-size:.8571428571em}.katex .fontsize-ensurer.reset-size3.size3,.katex .sizing.reset-size3.size3{font-size:1em}.katex .fontsize-ensurer.reset-size3.size4,.katex .sizing.reset-size3.size4{font-size:1.1428571429em}.katex .fontsize-ensurer.reset-size3.size5,.katex .sizing.reset-size3.size5{font-size:1.2857142857em}.katex .fontsize-ensurer.reset-size3.size6,.katex .sizing.reset-size3.size6{font-size:1.4285714286em}.katex .fontsize-ensurer.reset-size3.size7,.katex .sizing.reset-size3.size7{font-size:1.7142857143em}.katex .fontsize-ensurer.reset-size3.size8,.katex .sizing.reset-size3.size8{font-size:2.0571428571em}.katex .fontsize-ensurer.reset-size3.size9,.katex .sizing.reset-size3.size9{font-size:2.4685714286em}.katex .fontsize-ensurer.reset-size3.size10,.katex .sizing.reset-size3.size10{font-size:2.9628571429em}.katex .fontsize-ensurer.reset-size3.size11,.katex .sizing.reset-size3.size11{font-size:3.5542857143em}.katex .fontsize-ensurer.reset-size4.size1,.katex .sizing.reset-size4.size1{font-size:.625em}.katex .fontsize-ensurer.reset-size4.size2,.katex .sizing.reset-size4.size2{font-size:.75em}.katex .fontsize-ensurer.reset-size4.size3,.katex .sizing.reset-size4.size3{font-size:.875em}.katex .fontsize-ensurer.reset-size4.size4,.katex .sizing.reset-size4.size4{font-size:1em}.katex .fontsize-ensurer.reset-size4.size5,.katex .sizing.reset-size4.size5{font-size:1.125em}.katex .fontsize-ensurer.reset-size4.size6,.katex .sizing.reset-size4.size6{font-size:1.25em}.katex .fontsize-ensurer.reset-size4.size7,.katex .sizing.reset-size4.size7{font-size:1.5em}.katex .fontsize-ensurer.reset-size4.size8,.katex .sizing.reset-size4.size8{font-size:1.8em}.katex .fontsize-ensurer.reset-size4.size9,.katex .sizing.reset-size4.size9{font-size:2.16em}.katex .fontsize-ensurer.reset-size4.size10,.katex .sizing.reset-size4.size10{font-size:2.5925em}.katex .fontsize-ensurer.reset-size4.size11,.katex .sizing.reset-size4.size11{font-size:3.11em}.katex .fontsize-ensurer.reset-size5.size1,.katex .sizing.reset-size5.size1{font-size:.5555555556em}.katex .fontsize-ensurer.reset-size5.size2,.katex .sizing.reset-size5.size2{font-size:.6666666667em}.katex .fontsize-ensurer.reset-size5.size3,.katex .sizing.reset-size5.size3{font-size:.7777777778em}.katex .fontsize-ensurer.reset-size5.size4,.katex .sizing.reset-size5.size4{font-size:.8888888889em}.katex .fontsize-ensurer.reset-size5.size5,.katex .sizing.reset-size5.size5{font-size:1em}.katex .fontsize-ensurer.reset-size5.size6,.katex .sizing.reset-size5.size6{font-size:1.1111111111em}.katex .fontsize-ensurer.reset-size5.size7,.katex .sizing.reset-size5.size7{font-size:1.3333333333em}.katex .fontsize-ensurer.reset-size5.size8,.katex .sizing.reset-size5.size8{font-size:1.6em}.katex .fontsize-ensurer.reset-size5.size9,.katex .sizing.reset-size5.size9{font-size:1.92em}.katex .fontsize-ensurer.reset-size5.size10,.katex .sizing.reset-size5.size10{font-size:2.3044444444em}.katex .fontsize-ensurer.reset-size5.size11,.katex .sizing.reset-size5.size11{font-size:2.7644444444em}.katex .fontsize-ensurer.reset-size6.size1,.katex .sizing.reset-size6.size1{font-size:.5em}.katex .fontsize-ensurer.reset-size6.size2,.katex .sizing.reset-size6.size2{font-size:.6em}.katex .fontsize-ensurer.reset-size6.size3,.katex .sizing.reset-size6.size3{font-size:.7em}.katex .fontsize-ensurer.reset-size6.size4,.katex .sizing.reset-size6.size4{font-size:.8em}.katex .fontsize-ensurer.reset-size6.size5,.katex .sizing.reset-size6.size5{font-size:.9em}.katex .fontsize-ensurer.reset-size6.size6,.katex .sizing.reset-size6.size6{font-size:1em}.katex .fontsize-ensurer.reset-size6.size7,.katex .sizing.reset-size6.size7{font-size:1.2em}.katex .fontsize-ensurer.reset-size6.size8,.katex .sizing.reset-size6.size8{font-size:1.44em}.katex .fontsize-ensurer.reset-size6.size9,.katex .sizing.reset-size6.size9{font-size:1.728em}.katex .fontsize-ensurer.reset-size6.size10,.katex .sizing.reset-size6.size10{font-size:2.074em}.katex .fontsize-ensurer.reset-size6.size11,.katex .sizing.reset-size6.size11{font-size:2.488em}.katex .fontsize-ensurer.reset-size7.size1,.katex .sizing.reset-size7.size1{font-size:.4166666667em}.katex .fontsize-ensurer.reset-size7.size2,.katex .sizing.reset-size7.size2{font-size:.5em}.katex .fontsize-ensurer.reset-size7.size3,.katex .sizing.reset-size7.size3{font-size:.5833333333em}.katex .fontsize-ensurer.reset-size7.size4,.katex .sizing.reset-size7.size4{font-size:.6666666667em}.katex .fontsize-ensurer.reset-size7.size5,.katex .sizing.reset-size7.size5{font-size:.75em}.katex .fontsize-ensurer.reset-size7.size6,.katex .sizing.reset-size7.size6{font-size:.8333333333em}.katex .fontsize-ensurer.reset-size7.size7,.katex .sizing.reset-size7.size7{font-size:1em}.katex .fontsize-ensurer.reset-size7.size8,.katex .sizing.reset-size7.size8{font-size:1.2em}.katex .fontsize-ensurer.reset-size7.size9,.katex .sizing.reset-size7.size9{font-size:1.44em}.katex .fontsize-ensurer.reset-size7.size10,.katex .sizing.reset-size7.size10{font-size:1.7283333333em}.katex .fontsize-ensurer.reset-size7.size11,.katex .sizing.reset-size7.size11{font-size:2.0733333333em}.katex .fontsize-ensurer.reset-size8.size1,.katex .sizing.reset-size8.size1{font-size:.3472222222em}.katex .fontsize-ensurer.reset-size8.size2,.katex .sizing.reset-size8.size2{font-size:.4166666667em}.katex .fontsize-ensurer.reset-size8.size3,.katex .sizing.reset-size8.size3{font-size:.4861111111em}.katex .fontsize-ensurer.reset-size8.size4,.katex .sizing.reset-size8.size4{font-size:.5555555556em}.katex .fontsize-ensurer.reset-size8.size5,.katex .sizing.reset-size8.size5{font-size:.625em}.katex .fontsize-ensurer.reset-size8.size6,.katex .sizing.reset-size8.size6{font-size:.6944444444em}.katex .fontsize-ensurer.reset-size8.size7,.katex .sizing.reset-size8.size7{font-size:.8333333333em}.katex .fontsize-ensurer.reset-size8.size8,.katex .sizing.reset-size8.size8{font-size:1em}.katex .fontsize-ensurer.reset-size8.size9,.katex .sizing.reset-size8.size9{font-size:1.2em}.katex .fontsize-ensurer.reset-size8.size10,.katex .sizing.reset-size8.size10{font-size:1.4402777778em}.katex .fontsize-ensurer.reset-size8.size11,.katex .sizing.reset-size8.size11{font-size:1.7277777778em}.katex .fontsize-ensurer.reset-size9.size1,.katex .sizing.reset-size9.size1{font-size:.2893518519em}.katex .fontsize-ensurer.reset-size9.size2,.katex .sizing.reset-size9.size2{font-size:.3472222222em}.katex .fontsize-ensurer.reset-size9.size3,.katex .sizing.reset-size9.size3{font-size:.4050925926em}.katex .fontsize-ensurer.reset-size9.size4,.katex .sizing.reset-size9.size4{font-size:.462962963em}.katex .fontsize-ensurer.reset-size9.size5,.katex .sizing.reset-size9.size5{font-size:.5208333333em}.katex .fontsize-ensurer.reset-size9.size6,.katex .sizing.reset-size9.size6{font-size:.5787037037em}.katex .fontsize-ensurer.reset-size9.size7,.katex .sizing.reset-size9.size7{font-size:.6944444444em}.katex .fontsize-ensurer.reset-size9.size8,.katex .sizing.reset-size9.size8{font-size:.8333333333em}.katex .fontsize-ensurer.reset-size9.size9,.katex .sizing.reset-size9.size9{font-size:1em}.katex .fontsize-ensurer.reset-size9.size10,.katex .sizing.reset-size9.size10{font-size:1.2002314815em}.katex .fontsize-ensurer.reset-size9.size11,.katex .sizing.reset-size9.size11{font-size:1.4398148148em}.katex .fontsize-ensurer.reset-size10.size1,.katex .sizing.reset-size10.size1{font-size:.2410800386em}.katex .fontsize-ensurer.reset-size10.size2,.katex .sizing.reset-size10.size2{font-size:.2892960463em}.katex .fontsize-ensurer.reset-size10.size3,.katex .sizing.reset-size10.size3{font-size:.337512054em}.katex .fontsize-ensurer.reset-size10.size4,.katex .sizing.reset-size10.size4{font-size:.3857280617em}.katex .fontsize-ensurer.reset-size10.size5,.katex .sizing.reset-size10.size5{font-size:.4339440694em}.katex .fontsize-ensurer.reset-size10.size6,.katex .sizing.reset-size10.size6{font-size:.4821600771em}.katex .fontsize-ensurer.reset-size10.size7,.katex .sizing.reset-size10.size7{font-size:.5785920926em}.katex .fontsize-ensurer.reset-size10.size8,.katex .sizing.reset-size10.size8{font-size:.6943105111em}.katex .fontsize-ensurer.reset-size10.size9,.katex .sizing.reset-size10.size9{font-size:.8331726133em}.katex .fontsize-ensurer.reset-size10.size10,.katex .sizing.reset-size10.size10{font-size:1em}.katex .fontsize-ensurer.reset-size10.size11,.katex .sizing.reset-size10.size11{font-size:1.1996142719em}.katex .fontsize-ensurer.reset-size11.size1,.katex .sizing.reset-size11.size1{font-size:.2009646302em}.katex .fontsize-ensurer.reset-size11.size2,.katex .sizing.reset-size11.size2{font-size:.2411575563em}.katex .fontsize-ensurer.reset-size11.size3,.katex .sizing.reset-size11.size3{font-size:.2813504823em}.katex .fontsize-ensurer.reset-size11.size4,.katex .sizing.reset-size11.size4{font-size:.3215434084em}.katex .fontsize-ensurer.reset-size11.size5,.katex .sizing.reset-size11.size5{font-size:.3617363344em}.katex .fontsize-ensurer.reset-size11.size6,.katex .sizing.reset-size11.size6{font-size:.4019292605em}.katex .fontsize-ensurer.reset-size11.size7,.katex .sizing.reset-size11.size7{font-size:.4823151125em}.katex .fontsize-ensurer.reset-size11.size8,.katex .sizing.reset-size11.size8{font-size:.578778135em}.katex .fontsize-ensurer.reset-size11.size9,.katex .sizing.reset-size11.size9{font-size:.6945337621em}.katex .fontsize-ensurer.reset-size11.size10,.katex .sizing.reset-size11.size10{font-size:.8336012862em}.katex .fontsize-ensurer.reset-size11.size11,.katex .sizing.reset-size11.size11{font-size:1em}.katex .delimsizing.size1{font-family:KaTeX_Size1}.katex .delimsizing.size2{font-family:KaTeX_Size2}.katex .delimsizing.size3{font-family:KaTeX_Size3}.katex .delimsizing.size4{font-family:KaTeX_Size4}.katex .delimsizing.mult .delim-size1>span{font-family:KaTeX_Size1}.katex .delimsizing.mult .delim-size4>span{font-family:KaTeX_Size4}.katex .nulldelimiter{display:inline-block;width:.12em}.katex .delimcenter,.katex .op-symbol{position:relative}.katex .op-symbol.small-op{font-family:KaTeX_Size1}.katex .op-symbol.large-op{font-family:KaTeX_Size2}.katex .accent>.vlist-t,.katex .op-limits>.vlist-t{text-align:center}.katex .accent .accent-body{position:relative}.katex .accent .accent-body:not(.accent-full){width:0}.katex .overlay{display:block}.katex .mtable .vertical-separator{display:inline-block;min-width:1px}.katex .mtable .arraycolsep{display:inline-block}.katex .mtable .col-align-c>.vlist-t{text-align:center}.katex .mtable .col-align-l>.vlist-t{text-align:left}.katex .mtable .col-align-r>.vlist-t{text-align:right}.katex .svg-align{text-align:left}.katex svg{fill:currentColor;stroke:currentColor;display:block;height:inherit;position:absolute;width:100%}.katex svg path{stroke:none}.katex svg{fill-rule:nonzero;fill-opacity:1;stroke-width:1;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:4;stroke-dasharray:none;stroke-dashoffset:0;stroke-opacity:1}.katex img{border-style:none;max-height:none;max-width:none;min-height:0;min-width:0}.katex .stretchy{display:block;overflow:hidden;position:relative;width:100%}.katex .stretchy:after,.katex .stretchy:before{content:""}.katex .hide-tail{overflow:hidden;position:relative;width:100%}.katex .halfarrow-left{left:0;overflow:hidden;position:absolute;width:50.2%}.katex .halfarrow-right{overflow:hidden;position:absolute;right:0;width:50.2%}.katex .brace-left{left:0;overflow:hidden;position:absolute;width:25.1%}.katex .brace-center{left:25%;overflow:hidden;position:absolute;width:50%}.katex .brace-right{overflow:hidden;position:absolute;right:0;width:25.1%}.katex .x-arrow-pad{padding:0 .5em}.katex .cd-arrow-pad{padding:0 .55556em 0 .27778em}.katex .mover,.katex .munder,.katex .x-arrow{text-align:center}.katex .boxpad{padding:0 .3em}.katex .fbox,.katex .fcolorbox{border:.04em solid;box-sizing:border-box}.katex .cancel-pad{padding:0 .2em}.katex .cancel-lap{margin-left:-.2em;margin-right:-.2em}.katex .sout{border-bottom-style:solid;border-bottom-width:.08em}.katex .angl{border-right:.049em solid;border-top:.049em solid;box-sizing:border-box;margin-right:.03889em}.katex .anglpad{padding:0 .03889em}.katex .eqn-num:before{content:"(" counter(katexEqnNo) ")";counter-increment:katexEqnNo}.katex .mml-eqn-num:before{content:"(" counter(mmlEqnNo) ")";counter-increment:mmlEqnNo}.katex .mtr-glue{width:50%}.katex .cd-vert-arrow{display:inline-block;position:relative}.katex .cd-label-left{display:inline-block;position:absolute;right:calc(50% + .3em);text-align:left}.katex .cd-label-right{display:inline-block;left:calc(50% + .3em);position:absolute;text-align:right}.katex-display{display:block;margin:1em 0;text-align:center}.katex-display>.katex{display:block;text-align:center;white-space:nowrap}.katex-display>.katex>.katex-html{display:block;position:relative}.katex-display>.katex>.katex-html>.tag{position:absolute;right:0}.katex-display.leqno>.katex>.katex-html>.tag{left:0;right:auto}.katex-display.fleqn>.katex{padding-left:2em;text-align:left}body{counter-reset:katexEqnNo mmlEqnNo}.v-b .pixel-serif,.v-b .pixel-serif-sub{font-family:var(--font-newsreader),Georgia,serif;font-weight:500;letter-spacing:-.01em;line-height:1.15;font-smooth:auto;-webkit-font-smoothing:antialiased;-moz-osx-font-smoothing:grayscale;text-rendering:optimizeLegibility}.v-b .pixel-sans{font-family:var(--font-inter),system-ui,sans-serif;letter-spacing:0;line-height:1.65;-webkit-text-stroke:0;font-smooth:auto;-webkit-font-smoothing:antialiased;-moz-osx-font-smoothing:grayscale;text-rendering:optimizeLegibility}.v-b .pixel-sans strong,.v-b .pixel-sans b{text-shadow:none;letter-spacing:0;-webkit-font-smoothing:antialiased}.v-b .pixel-serif-logo{font-family:var(--font-newsreader),Georgia,serif;font-weight:500;font-smooth:auto;-webkit-font-smoothing:antialiased;-moz-osx-font-smoothing:grayscale}.v-b .pixel-serif-logo span{font-size:1em!important;margin-top:0!important;vertical-align:baseline!important}.v-b .dollar{font-family:inherit!important;-webkit-font-smoothing:antialiased!important}body.v-b{background:var(--background)}.v-b .step-num{font-style:italic}.badge-chip{display:inline-flex;align-items:center;gap:6px;font-size:10px;letter-spacing:.14em;text-transform:uppercase;color:var(--fg-45)}.badge-chip .badge-dot{width:6px;height:6px;border-radius:9999px;background:var(--live)}.badge-chip.badge-live{color:var(--live-text)}.fade-step{animation:fadeStep .55s ease both}@keyframes fadeStep{0%{opacity:0;transform:translateY(10px)}to{opacity:1;transform:translateY(0)}}.variant-switcher{position:fixed;bottom:16px;right:16px;z-index:60;display:flex;gap:4px;padding:4px;border:1px solid rgba(255,255,255,.15);border-radius:9999px;background:#0c0a09bf;backdrop-filter:blur(8px);font-family:var(--font-inter),system-ui,sans-serif}.variant-switcher button{width:30px;height:30px;border-radius:9999px;font-size:12px;color:#fff9;cursor:pointer}.variant-switcher button:hover{color:#fff}.variant-switcher button.on{background:#fff;color:#000}:root{--font-inter:"Inter",sans-serif;--font-newsreader:"Newsreader",Georgia,serif}.invite-overlay{position:fixed;inset:0;z-index:1000;background:var(--scrim);display:flex;align-items:center;justify-content:center;padding:24px;backdrop-filter:blur(5px)}.invite-panel{position:relative;background:var(--background);color:var(--fg);width:100%;max-width:460px;padding:36px;border:1px solid var(--border);border-radius:24px;box-shadow:0 25px 80px #0003}.invite-close{position:absolute;right:15px;top:10px;font-size:25px;padding:4px 8px;color:var(--fg-60)}.invite-input{width:100%;padding:12px 14px;border:1px solid var(--border);border-radius:10px;background:var(--field);color:var(--fg);outline-offset:3px}.beta-button{padding:11px 20px;background:var(--fg);color:var(--on-fg);border-radius:10px;font-family:var(--font-inter);font-size:14px;cursor:pointer}.beta-button:disabled{opacity:.45;cursor:wait}.beta-button:focus-visible,.invite-close:focus-visible{outline:2px solid var(--steel);outline-offset:4px}.beta-note{position:fixed;bottom:14px;left:50%;transform:translate(-50%);z-index:45;display:flex;align-items:center;gap:14px;padding:8px 12px 8px 16px;max-width:calc(100vw - 24px);background:var(--background);color:var(--fg-70);border:1px solid var(--border);border-radius:12px;box-shadow:0 3px 16px #0001;font:13px var(--font-inter);white-space:normal;line-height:1.4}.beta-note button{text-decoration:underline;cursor:pointer}.beta-note .dismiss{text-decoration:none;font-size:17px;line-height:1}@media(max-width:480px){.invite-panel{padding:28px}.beta-note{gap:10px;font-size:12px;width:max-content;flex-wrap:wrap;justify-content:center;padding:9px 12px}.beta-note span{flex-basis:100%;text-align:center}}