.toc-mobile[data-astro-cid-p33bl5ka]{border:1px solid var(--card-border-color);background:var(--card-background-color);border-radius:8px;margin:0 0 1.5rem}.toc-summary[data-astro-cid-p33bl5ka]{cursor:pointer;color:var(--color);justify-content:space-between;align-items:center;gap:1rem;padding:.6rem 1rem;font-size:.9rem;font-weight:600;list-style:none;display:flex}.toc-summary[data-astro-cid-p33bl5ka]::-webkit-details-marker{display:none}.toc-summary[data-astro-cid-p33bl5ka]:after{flex-shrink:0;width:1rem;height:1rem;margin-inline-start:.5rem;display:block}.toc-body[data-astro-cid-p33bl5ka]{border-top:1px solid var(--card-border-color);padding:.4rem .75rem .75rem}.toc-desktop[data-astro-cid-p33bl5ka]{margin:0 0 .5rem}.toc-title[data-astro-cid-p33bl5ka]{text-transform:uppercase;letter-spacing:.05em;color:var(--muted-color);border-bottom:1px solid var(--card-border-color);cursor:pointer;margin:0 0 .5rem;padding-bottom:.5rem;font-size:.78rem;font-weight:700;list-style:none}.toc-title[data-astro-cid-p33bl5ka]::-webkit-details-marker{display:none}.toc-list[data-astro-cid-p33bl5ka]{margin:0;padding:0;list-style:none;display:block}.toc-list[data-astro-cid-p33bl5ka] li[data-astro-cid-p33bl5ka]{list-style:none;display:list-item}.toc-list[data-astro-cid-p33bl5ka] a[data-astro-cid-p33bl5ka]{color:var(--muted-color);border-left:2px solid #0000;border-radius:4px;padding:.22rem .6rem;font-size:.85rem;line-height:1.35;text-decoration:none;display:block}.toc-list[data-astro-cid-p33bl5ka] a[data-astro-cid-p33bl5ka]:hover{color:var(--primary)}.toc-list[data-astro-cid-p33bl5ka] a[data-astro-cid-p33bl5ka][aria-current=location]{color:var(--primary);border-left-color:var(--primary);font-weight:600}.toc-list[data-astro-cid-p33bl5ka] li[data-astro-cid-p33bl5ka][data-depth="3"] a[data-astro-cid-p33bl5ka]{padding-left:1.2rem;font-size:.8rem}.toc-list[data-astro-cid-p33bl5ka] li[data-astro-cid-p33bl5ka][data-depth="4"] a[data-astro-cid-p33bl5ka]{padding-left:1.8rem;font-size:.78rem}@media (width<=1279.98px){.toc-desktop[data-astro-cid-p33bl5ka]{display:none}}@media (width>=1280px){.toc-mobile[data-astro-cid-p33bl5ka]{display:none}}.recent-block[data-astro-cid-d2a5kguh]{margin-bottom:1rem}.recent-block[data-astro-cid-d2a5kguh] summary[data-astro-cid-d2a5kguh]{text-transform:uppercase;letter-spacing:.05em;color:var(--muted-color);cursor:pointer;margin:0 0 .6rem;font-size:.78rem;font-weight:700;list-style:none}.recent-block[data-astro-cid-d2a5kguh] summary[data-astro-cid-d2a5kguh]::-webkit-details-marker{display:none}.recent-list[data-astro-cid-d2a5kguh]{margin:0;padding:0;list-style:none}.recent-list[data-astro-cid-d2a5kguh] li[data-astro-cid-d2a5kguh]{border-bottom:1px solid var(--muted-border-color);padding:.4rem 0}.recent-list[data-astro-cid-d2a5kguh] li[data-astro-cid-d2a5kguh]:last-child{border-bottom:none}.recent-list[data-astro-cid-d2a5kguh] a[data-astro-cid-d2a5kguh]{color:var(--color);font-size:.82rem;font-weight:500;line-height:1.35;text-decoration:none;display:block}.recent-list[data-astro-cid-d2a5kguh] a[data-astro-cid-d2a5kguh]:hover{color:var(--primary)}.recent-date[data-astro-cid-d2a5kguh]{color:var(--muted-color);margin-top:.1rem;font-size:.75rem;display:block}.recent-more[data-astro-cid-d2a5kguh]{margin:.6rem 0 0}.recent-more[data-astro-cid-d2a5kguh] a[data-astro-cid-d2a5kguh]{font-size:.82rem}.starred-pages[data-astro-cid-kmbfthem]{margin:0 0 1rem}.starred-heading[data-astro-cid-kmbfthem]{border-bottom:1px solid var(--card-border-color);margin-bottom:.75rem;padding-bottom:.6rem}.starred-title[data-astro-cid-kmbfthem]{color:var(--color);font-size:1.05rem;font-weight:700}.starred-count[data-astro-cid-kmbfthem]{color:var(--muted-color);margin-top:.2rem;font-size:.78rem;display:block}.starred-groups[data-astro-cid-kmbfthem]{padding:.25rem 0 .5rem}.starred-group[data-astro-cid-kmbfthem]{margin:0}.starred-group[data-astro-cid-kmbfthem]>summary[data-astro-cid-kmbfthem]{cursor:pointer;text-transform:uppercase;letter-spacing:.05em;color:var(--muted-color);padding:.3rem .9rem .15rem;font-size:.72rem;font-weight:600;list-style:none}.starred-group[data-astro-cid-kmbfthem]>summary[data-astro-cid-kmbfthem]::-webkit-details-marker{display:none}.starred-list{margin:0;padding:0 0 .2rem;list-style:none}.starred-list li{margin:0}.starred-list a{color:var(--muted-color);border-radius:4px;padding:.22rem .6rem;font-size:.85rem;line-height:1.4;text-decoration:none;display:block}.starred-list a:hover{color:var(--primary);background:color-mix(in srgb, var(--primary) 8%, transparent)}.starred-empty{color:var(--muted-color);padding:.25rem .6rem;font-size:.82rem;font-style:italic}.faq-sidebar-list[data-astro-cid-nq3ctlgx]{flex-direction:column;gap:.35rem;padding:.25rem 0 .5rem;display:flex}.faq-sidebar-link[data-astro-cid-nq3ctlgx]{width:100%;color:var(--muted-color);border:1px solid var(--card-border-color);background:color-mix(in srgb, var(--primary) 4%, transparent);border-radius:6px;padding:.45rem .65rem;font-size:.85rem;line-height:1.4;text-decoration:none;transition:background .15s,color .15s,border-color .15s;display:block}.faq-sidebar-link[data-astro-cid-nq3ctlgx]:hover{color:var(--primary);background:color-mix(in srgb, var(--primary) 12%, transparent);border-color:var(--primary)}.faq-sidebar-empty[data-astro-cid-nq3ctlgx]{color:var(--muted-color);padding:.25rem .6rem;font-size:.82rem;font-style:italic}.prevnext[data-astro-cid-26imasba]{border-top:1px solid var(--card-border-color);grid-template-columns:1fr 1fr;gap:1rem;margin-top:3rem;padding-top:1.5rem;display:grid}.pn-cell[data-astro-cid-26imasba]{border:1px solid var(--card-border-color);background:var(--card-background-color);border-radius:8px;flex-direction:column;gap:.35rem;min-width:0;padding:.9rem 1.1rem;text-decoration:none;transition:border-color .15s,background .15s,color .15s;display:flex}.pn-cell[data-astro-cid-26imasba]:hover{border-color:var(--primary);background:color-mix(in srgb, var(--primary) 7%, transparent)}.pn-prev[data-astro-cid-26imasba]{text-align:left;align-items:flex-start}.pn-next[data-astro-cid-26imasba]{text-align:right;align-items:flex-end}.pn-caption[data-astro-cid-26imasba]{color:var(--muted-color);text-transform:uppercase;letter-spacing:.04em;font-size:.75rem;font-weight:600}.pn-cell[data-astro-cid-26imasba]:hover .pn-caption[data-astro-cid-26imasba]{color:var(--primary)}.pn-title[data-astro-cid-26imasba]{color:var(--color);font-size:.95rem;font-weight:600;line-height:1.35}.pn-cell[data-astro-cid-26imasba]:hover .pn-title[data-astro-cid-26imasba]{color:var(--primary)}.pn-empty[data-astro-cid-26imasba]{border:1px dashed var(--card-border-color);background:0 0}@media (width<=640px){.prevnext[data-astro-cid-26imasba]{grid-template-columns:1fr}}.install-prompt[data-astro-cid-h2gdwlgb]{z-index:60;background:var(--card-background-color,#1c2933);border:1px solid var(--card-border-color,#2c3a45);border-radius:12px;width:min(92vw,30rem);padding:.85rem 1rem;position:fixed;bottom:1rem;left:50%;transform:translate(-50%);box-shadow:0 6px 24px #00000059}.ip-inner[data-astro-cid-h2gdwlgb]{align-items:center;gap:.75rem;display:flex}.ip-icon[data-astro-cid-h2gdwlgb]{font-size:1.4rem;line-height:1}.ip-text[data-astro-cid-h2gdwlgb]{flex-direction:column;flex:1;min-width:0;display:flex}.ip-title[data-astro-cid-h2gdwlgb]{color:var(--color,#e8eef2);font-size:.95rem;font-weight:600}.ip-sub[data-astro-cid-h2gdwlgb]{color:var(--muted-color,#8b98a2);font-size:.8rem}.ip-install[data-astro-cid-h2gdwlgb]{color:#0b1220;background:var(--primary,#7dd3fc);cursor:pointer;border:none;border-radius:8px;flex-shrink:0;width:auto;padding:.45rem .9rem;font-size:.85rem;font-weight:600}.ip-install[data-astro-cid-h2gdwlgb]:hover{background:var(--primary-hover,#bae6fd)}.ip-close[data-astro-cid-h2gdwlgb]{width:1.8rem;height:1.8rem;color:var(--muted-color,#8b98a2);cursor:pointer;background:0 0;border:none;border-radius:6px;flex-shrink:0;padding:0;font-size:1.3rem;line-height:1}.ip-close[data-astro-cid-h2gdwlgb]:hover{color:var(--color,#e8eef2);background:#80808026}@font-face{font-display:block;font-family:KaTeX_AMS;font-style:normal;font-weight:400;src:url(/aied/_astro/KaTeX_AMS-Regular.BQhdFMY1.woff2)format("woff2"),url(/aied/_astro/KaTeX_AMS-Regular.DMm9YOAa.woff)format("woff"),url(/aied/_astro/KaTeX_AMS-Regular.DRggAlZN.ttf)format("truetype")}@font-face{font-display:block;font-family:KaTeX_Caligraphic;font-style:normal;font-weight:700;src:url(/aied/_astro/KaTeX_Caligraphic-Bold.Dq_IR9rO.woff2)format("woff2"),url(/aied/_astro/KaTeX_Caligraphic-Bold.BEiXGLvX.woff)format("woff"),url(/aied/_astro/KaTeX_Caligraphic-Bold.ATXxdsX0.ttf)format("truetype")}@font-face{font-display:block;font-family:KaTeX_Caligraphic;font-style:normal;font-weight:400;src:url(/aied/_astro/KaTeX_Caligraphic-Regular.Di6jR-x-.woff2)format("woff2"),url(/aied/_astro/KaTeX_Caligraphic-Regular.CTRA-rTL.woff)format("woff"),url(/aied/_astro/KaTeX_Caligraphic-Regular.wX97UBjC.ttf)format("truetype")}@font-face{font-display:block;font-family:KaTeX_Fraktur;font-style:normal;font-weight:700;src:url(/aied/_astro/KaTeX_Fraktur-Bold.CL6g_b3V.woff2)format("woff2"),url(/aied/_astro/KaTeX_Fraktur-Bold.BsDP51OF.woff)format("woff"),url(/aied/_astro/KaTeX_Fraktur-Bold.BdnERNNW.ttf)format("truetype")}@font-face{font-display:block;font-family:KaTeX_Fraktur;font-style:normal;font-weight:400;src:url(/aied/_astro/KaTeX_Fraktur-Regular.CTYiF6lA.woff2)format("woff2"),url(/aied/_astro/KaTeX_Fraktur-Regular.Dxdc4cR9.woff)format("woff"),url(/aied/_astro/KaTeX_Fraktur-Regular.CB_wures.ttf)format("truetype")}@font-face{font-display:block;font-family:KaTeX_Main;font-style:normal;font-weight:700;src:url(/aied/_astro/KaTeX_Main-Bold.Cx986IdX.woff2)format("woff2"),url(/aied/_astro/KaTeX_Main-Bold.Jm3AIy58.woff)format("woff"),url(/aied/_astro/KaTeX_Main-Bold.waoOVXN0.ttf)format("truetype")}@font-face{font-display:block;font-family:KaTeX_Main;font-style:italic;font-weight:700;src:url(/aied/_astro/KaTeX_Main-BoldItalic.DxDJ3AOS.woff2)format("woff2"),url(/aied/_astro/KaTeX_Main-BoldItalic.SpSLRI95.woff)format("woff"),url(/aied/_astro/KaTeX_Main-BoldItalic.DzxPMmG6.ttf)format("truetype")}@font-face{font-display:block;font-family:KaTeX_Main;font-style:italic;font-weight:400;src:url(/aied/_astro/KaTeX_Main-Italic.NWA7e6Wa.woff2)format("woff2"),url(/aied/_astro/KaTeX_Main-Italic.BMLOBm91.woff)format("woff"),url(/aied/_astro/KaTeX_Main-Italic.3WenGoN9.ttf)format("truetype")}@font-face{font-display:block;font-family:KaTeX_Main;font-style:normal;font-weight:400;src:url(/aied/_astro/KaTeX_Main-Regular.B22Nviop.woff2)format("woff2"),url(/aied/_astro/KaTeX_Main-Regular.Dr94JaBh.woff)format("woff"),url(/aied/_astro/KaTeX_Main-Regular.ypZvNtVU.ttf)format("truetype")}@font-face{font-display:block;font-family:KaTeX_Math;font-style:italic;font-weight:700;src:url(/aied/_astro/KaTeX_Math-BoldItalic.CZnvNsCZ.woff2)format("woff2"),url(/aied/_astro/KaTeX_Math-BoldItalic.iY-2wyZ7.woff)format("woff"),url(/aied/_astro/KaTeX_Math-BoldItalic.B3XSjfu4.ttf)format("truetype")}@font-face{font-display:block;font-family:KaTeX_Math;font-style:italic;font-weight:400;src:url(/aied/_astro/KaTeX_Math-Italic.t53AETM-.woff2)format("woff2"),url(/aied/_astro/KaTeX_Math-Italic.DA0__PXp.woff)format("woff"),url(/aied/_astro/KaTeX_Math-Italic.flOr_0UB.ttf)format("truetype")}@font-face{font-display:block;font-family:KaTeX_SansSerif;font-style:normal;font-weight:700;src:url(/aied/_astro/KaTeX_SansSerif-Bold.D1sUS0GD.woff2)format("woff2"),url(/aied/_astro/KaTeX_SansSerif-Bold.DbIhKOiC.woff)format("woff"),url(/aied/_astro/KaTeX_SansSerif-Bold.CFMepnvq.ttf)format("truetype")}@font-face{font-display:block;font-family:KaTeX_SansSerif;font-style:italic;font-weight:400;src:url(/aied/_astro/KaTeX_SansSerif-Italic.C3H0VqGB.woff2)format("woff2"),url(/aied/_astro/KaTeX_SansSerif-Italic.DN2j7dab.woff)format("woff"),url(/aied/_astro/KaTeX_SansSerif-Italic.YYjJ1zSn.ttf)format("truetype")}@font-face{font-display:block;font-family:KaTeX_SansSerif;font-style:normal;font-weight:400;src:url(/aied/_astro/KaTeX_SansSerif-Regular.DDBCnlJ7.woff2)format("woff2"),url(/aied/_astro/KaTeX_SansSerif-Regular.CS6fqUqJ.woff)format("woff"),url(/aied/_astro/KaTeX_SansSerif-Regular.BNo7hRIc.ttf)format("truetype")}@font-face{font-display:block;font-family:KaTeX_Script;font-style:normal;font-weight:400;src:url(/aied/_astro/KaTeX_Script-Regular.D3wIWfF6.woff2)format("woff2"),url(/aied/_astro/KaTeX_Script-Regular.D5yQViql.woff)format("woff"),url(/aied/_astro/KaTeX_Script-Regular.C5JkGWo-.ttf)format("truetype")}@font-face{font-display:block;font-family:KaTeX_Size1;font-style:normal;font-weight:400;src:url(/aied/_astro/KaTeX_Size1-Regular.mCD8mA8B.woff2)format("woff2"),url(/aied/_astro/KaTeX_Size1-Regular.C195tn64.woff)format("woff"),url(/aied/_astro/KaTeX_Size1-Regular.Dbsnue_I.ttf)format("truetype")}@font-face{font-display:block;font-family:KaTeX_Size2;font-style:normal;font-weight:400;src:url(/aied/_astro/KaTeX_Size2-Regular.Dy4dx90m.woff2)format("woff2"),url(/aied/_astro/KaTeX_Size2-Regular.oD1tc_U0.woff)format("woff"),url(/aied/_astro/KaTeX_Size2-Regular.B7gKUWhC.ttf)format("truetype")}@font-face{font-display:block;font-family:KaTeX_Size3;font-style:normal;font-weight:400;src:url(data:font/woff2;base64,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)format("woff2"),url(/aied/_astro/KaTeX_Size3-Regular.CTq5MqoE.woff)format("woff"),url(/aied/_astro/KaTeX_Size3-Regular.DgpXs0kz.ttf)format("truetype")}@font-face{font-display:block;font-family:KaTeX_Size4;font-style:normal;font-weight:400;src:url(/aied/_astro/KaTeX_Size4-Regular.Dl5lxZxV.woff2)format("woff2"),url(/aied/_astro/KaTeX_Size4-Regular.BF-4gkZK.woff)format("woff"),url(/aied/_astro/KaTeX_Size4-Regular.DWFBv043.ttf)format("truetype")}@font-face{font-display:block;font-family:KaTeX_Typewriter;font-style:normal;font-weight:400;src:url(/aied/_astro/KaTeX_Typewriter-Regular.CO6r4hn1.woff2)format("woff2"),url(/aied/_astro/KaTeX_Typewriter-Regular.C0xS9mPB.woff)format("woff"),url(/aied/_astro/KaTeX_Typewriter-Regular.D3Ib7_Hf.ttf)format("truetype")}.katex{text-indent:0;text-rendering:auto;font:1.21em/1.2 KaTeX_Main,Times New Roman,serif;position:relative}.katex *{border-color:currentColor;-ms-high-contrast-adjust:none!important}.katex .katex-version:after{content:"0.18.4"}.katex .katex-mathml{clip-path:inset(50%);border:0;width:1px;height:1px;padding:0;position:absolute;overflow:hidden}.katex .katex-html>.katex-newline{display:block}.katex .katex-base{white-space:nowrap;width:min-content;position:relative}.katex .katex-base,.katex .katex-strut{display:inline-block}.katex .textbf{font-weight:700}.katex .textit{font-style:italic}.katex .textrm{font-family:KaTeX_Main}.katex .textsf{font-family:KaTeX_SansSerif}.katex .texttt{font-family:KaTeX_Typewriter}.katex .mathnormal{font-family:KaTeX_Math;font-style:italic}.katex .mathit{font-family:KaTeX_Main;font-style:italic}.katex .mathrm{font-style:normal}.katex .mathbf{font-family:KaTeX_Main;font-weight:700}.katex .boldsymbol{font-family:KaTeX_Math;font-style:italic;font-weight:700}.katex .amsrm,.katex .mathbb,.katex .textbb{font-family:KaTeX_AMS}.katex .mathcal{font-family:KaTeX_Caligraphic}.katex .mathfrak,.katex .textfrak{font-family:KaTeX_Fraktur}.katex .mathboldfrak,.katex .textboldfrak{font-family:KaTeX_Fraktur;font-weight:700}.katex .mathtt{font-family:KaTeX_Typewriter}.katex .mathscr,.katex .textscr{font-family:KaTeX_Script}.katex .mathsf,.katex .textsf{font-family:KaTeX_SansSerif}.katex .mathboldsf,.katex .textboldsf{font-family:KaTeX_SansSerif;font-weight:700}.katex .mathitsf,.katex .mathsfit,.katex .textitsf{font-family:KaTeX_SansSerif;font-style:italic}.katex .mainrm{font-family:KaTeX_Main;font-style:normal}.katex .vlist-t{border-collapse:collapse;table-layout:fixed;display:inline-table}.katex .vlist-r{display:table-row}.katex .vlist{vertical-align:bottom;display:table-cell;position:relative}.katex .vlist>span{height:0;display:block;position:relative}.katex .vlist>span>span{display:inline-block}.katex .vlist>span>.pstrut{width:0;overflow:hidden}.katex .vlist-t2{margin-right:-2px}.katex .vlist-s{vertical-align:bottom;width:2px;min-width:2px;font-size:1px;display:table-cell}.katex .katex-vbox{flex-direction:column;align-items:baseline;display:inline-flex}.katex .katex-thinbox{flex-direction:row;width:0;max-width:0;display:inline-flex}.katex .msupsub{text-align:left}.katex .mfrac>span>span{text-align:center}.katex .mfrac .frac-line{border-bottom-style:solid;width:100%;display:inline-block}.katex .katex-hdashline,.katex .katex-hline,.katex .katex-overline .overline-line,.katex .katex-rule,.katex .katex-underline .underline-line,.katex .mfrac .frac-line{min-height:1px}.katex .mspace{display:inline-block}.katex .katex-smash{line-height:0;display:inline}.katex .clap,.katex .llap,.katex .rlap{width:0;position:relative}.katex .clap>.katex-inner,.katex .llap>.katex-inner,.katex .rlap>.katex-inner{position:absolute}.katex .clap>.katex-fix,.katex .llap>.katex-fix,.katex .rlap>.katex-fix{display:inline-block}.katex .llap>.katex-inner{right:0}.katex .clap>.katex-inner,.katex .rlap>.katex-inner{left:0}.katex .clap>.katex-inner>span{margin-left:-50%;margin-right:50%}.katex .katex-rule{border:0 solid;display:inline-block;position:relative}.katex .katex-hline,.katex .katex-overline .overline-line,.katex .katex-underline .underline-line{border-bottom-style:solid;width:100%;display:inline-block}.katex .katex-hdashline{border-bottom-style:dashed;width:100%;display:inline-block}.katex .sqrt>.katex-root{margin-left:.277778em;margin-right:-.555556em}.katex .fontsize-ensurer.reset-size1.size1,.katex .katex-sizing.reset-size1.size1{font-size:1em}.katex .fontsize-ensurer.reset-size1.size2,.katex .katex-sizing.reset-size1.size2{font-size:1.2em}.katex .fontsize-ensurer.reset-size1.size3,.katex .katex-sizing.reset-size1.size3{font-size:1.4em}.katex .fontsize-ensurer.reset-size1.size4,.katex .katex-sizing.reset-size1.size4{font-size:1.6em}.katex .fontsize-ensurer.reset-size1.size5,.katex .katex-sizing.reset-size1.size5{font-size:1.8em}.katex .fontsize-ensurer.reset-size1.size6,.katex .katex-sizing.reset-size1.size6{font-size:2em}.katex .fontsize-ensurer.reset-size1.size7,.katex .katex-sizing.reset-size1.size7{font-size:2.4em}.katex .fontsize-ensurer.reset-size1.size8,.katex .katex-sizing.reset-size1.size8{font-size:2.88em}.katex .fontsize-ensurer.reset-size1.size9,.katex .katex-sizing.reset-size1.size9{font-size:3.456em}.katex .fontsize-ensurer.reset-size1.size10,.katex .katex-sizing.reset-size1.size10{font-size:4.148em}.katex .fontsize-ensurer.reset-size1.size11,.katex .katex-sizing.reset-size1.size11{font-size:4.976em}.katex .fontsize-ensurer.reset-size2.size1,.katex .katex-sizing.reset-size2.size1{font-size:.833333em}.katex .fontsize-ensurer.reset-size2.size2,.katex .katex-sizing.reset-size2.size2{font-size:1em}.katex .fontsize-ensurer.reset-size2.size3,.katex .katex-sizing.reset-size2.size3{font-size:1.16667em}.katex .fontsize-ensurer.reset-size2.size4,.katex .katex-sizing.reset-size2.size4{font-size:1.33333em}.katex .fontsize-ensurer.reset-size2.size5,.katex .katex-sizing.reset-size2.size5{font-size:1.5em}.katex .fontsize-ensurer.reset-size2.size6,.katex .katex-sizing.reset-size2.size6{font-size:1.66667em}.katex .fontsize-ensurer.reset-size2.size7,.katex .katex-sizing.reset-size2.size7{font-size:2em}.katex .fontsize-ensurer.reset-size2.size8,.katex .katex-sizing.reset-size2.size8{font-size:2.4em}.katex .fontsize-ensurer.reset-size2.size9,.katex .katex-sizing.reset-size2.size9{font-size:2.88em}.katex .fontsize-ensurer.reset-size2.size10,.katex .katex-sizing.reset-size2.size10{font-size:3.45667em}.katex .fontsize-ensurer.reset-size2.size11,.katex .katex-sizing.reset-size2.size11{font-size:4.14667em}.katex .fontsize-ensurer.reset-size3.size1,.katex .katex-sizing.reset-size3.size1{font-size:.714286em}.katex .fontsize-ensurer.reset-size3.size2,.katex .katex-sizing.reset-size3.size2{font-size:.857143em}.katex .fontsize-ensurer.reset-size3.size3,.katex .katex-sizing.reset-size3.size3{font-size:1em}.katex .fontsize-ensurer.reset-size3.size4,.katex .katex-sizing.reset-size3.size4{font-size:1.14286em}.katex .fontsize-ensurer.reset-size3.size5,.katex .katex-sizing.reset-size3.size5{font-size:1.28571em}.katex .fontsize-ensurer.reset-size3.size6,.katex .katex-sizing.reset-size3.size6{font-size:1.42857em}.katex .fontsize-ensurer.reset-size3.size7,.katex .katex-sizing.reset-size3.size7{font-size:1.71429em}.katex .fontsize-ensurer.reset-size3.size8,.katex .katex-sizing.reset-size3.size8{font-size:2.05714em}.katex .fontsize-ensurer.reset-size3.size9,.katex .katex-sizing.reset-size3.size9{font-size:2.46857em}.katex .fontsize-ensurer.reset-size3.size10,.katex .katex-sizing.reset-size3.size10{font-size:2.96286em}.katex .fontsize-ensurer.reset-size3.size11,.katex .katex-sizing.reset-size3.size11{font-size:3.55429em}.katex .fontsize-ensurer.reset-size4.size1,.katex .katex-sizing.reset-size4.size1{font-size:.625em}.katex .fontsize-ensurer.reset-size4.size2,.katex .katex-sizing.reset-size4.size2{font-size:.75em}.katex .fontsize-ensurer.reset-size4.size3,.katex .katex-sizing.reset-size4.size3{font-size:.875em}.katex .fontsize-ensurer.reset-size4.size4,.katex .katex-sizing.reset-size4.size4{font-size:1em}.katex .fontsize-ensurer.reset-size4.size5,.katex .katex-sizing.reset-size4.size5{font-size:1.125em}.katex .fontsize-ensurer.reset-size4.size6,.katex .katex-sizing.reset-size4.size6{font-size:1.25em}.katex .fontsize-ensurer.reset-size4.size7,.katex .katex-sizing.reset-size4.size7{font-size:1.5em}.katex .fontsize-ensurer.reset-size4.size8,.katex .katex-sizing.reset-size4.size8{font-size:1.8em}.katex .fontsize-ensurer.reset-size4.size9,.katex .katex-sizing.reset-size4.size9{font-size:2.16em}.katex .fontsize-ensurer.reset-size4.size10,.katex .katex-sizing.reset-size4.size10{font-size:2.5925em}.katex .fontsize-ensurer.reset-size4.size11,.katex .katex-sizing.reset-size4.size11{font-size:3.11em}.katex .fontsize-ensurer.reset-size5.size1,.katex .katex-sizing.reset-size5.size1{font-size:.555556em}.katex .fontsize-ensurer.reset-size5.size2,.katex .katex-sizing.reset-size5.size2{font-size:.666667em}.katex .fontsize-ensurer.reset-size5.size3,.katex .katex-sizing.reset-size5.size3{font-size:.777778em}.katex .fontsize-ensurer.reset-size5.size4,.katex .katex-sizing.reset-size5.size4{font-size:.888889em}.katex .fontsize-ensurer.reset-size5.size5,.katex .katex-sizing.reset-size5.size5{font-size:1em}.katex .fontsize-ensurer.reset-size5.size6,.katex .katex-sizing.reset-size5.size6{font-size:1.11111em}.katex .fontsize-ensurer.reset-size5.size7,.katex .katex-sizing.reset-size5.size7{font-size:1.33333em}.katex .fontsize-ensurer.reset-size5.size8,.katex .katex-sizing.reset-size5.size8{font-size:1.6em}.katex .fontsize-ensurer.reset-size5.size9,.katex .katex-sizing.reset-size5.size9{font-size:1.92em}.katex .fontsize-ensurer.reset-size5.size10,.katex .katex-sizing.reset-size5.size10{font-size:2.30444em}.katex .fontsize-ensurer.reset-size5.size11,.katex .katex-sizing.reset-size5.size11{font-size:2.76444em}.katex .fontsize-ensurer.reset-size6.size1,.katex .katex-sizing.reset-size6.size1{font-size:.5em}.katex .fontsize-ensurer.reset-size6.size2,.katex .katex-sizing.reset-size6.size2{font-size:.6em}.katex .fontsize-ensurer.reset-size6.size3,.katex .katex-sizing.reset-size6.size3{font-size:.7em}.katex .fontsize-ensurer.reset-size6.size4,.katex .katex-sizing.reset-size6.size4{font-size:.8em}.katex .fontsize-ensurer.reset-size6.size5,.katex .katex-sizing.reset-size6.size5{font-size:.9em}.katex .fontsize-ensurer.reset-size6.size6,.katex .katex-sizing.reset-size6.size6{font-size:1em}.katex .fontsize-ensurer.reset-size6.size7,.katex .katex-sizing.reset-size6.size7{font-size:1.2em}.katex .fontsize-ensurer.reset-size6.size8,.katex .katex-sizing.reset-size6.size8{font-size:1.44em}.katex .fontsize-ensurer.reset-size6.size9,.katex .katex-sizing.reset-size6.size9{font-size:1.728em}.katex .fontsize-ensurer.reset-size6.size10,.katex .katex-sizing.reset-size6.size10{font-size:2.074em}.katex .fontsize-ensurer.reset-size6.size11,.katex .katex-sizing.reset-size6.size11{font-size:2.488em}.katex .fontsize-ensurer.reset-size7.size1,.katex .katex-sizing.reset-size7.size1{font-size:.416667em}.katex .fontsize-ensurer.reset-size7.size2,.katex .katex-sizing.reset-size7.size2{font-size:.5em}.katex .fontsize-ensurer.reset-size7.size3,.katex .katex-sizing.reset-size7.size3{font-size:.583333em}.katex .fontsize-ensurer.reset-size7.size4,.katex .katex-sizing.reset-size7.size4{font-size:.666667em}.katex .fontsize-ensurer.reset-size7.size5,.katex .katex-sizing.reset-size7.size5{font-size:.75em}.katex .fontsize-ensurer.reset-size7.size6,.katex .katex-sizing.reset-size7.size6{font-size:.833333em}.katex .fontsize-ensurer.reset-size7.size7,.katex .katex-sizing.reset-size7.size7{font-size:1em}.katex .fontsize-ensurer.reset-size7.size8,.katex .katex-sizing.reset-size7.size8{font-size:1.2em}.katex .fontsize-ensurer.reset-size7.size9,.katex .katex-sizing.reset-size7.size9{font-size:1.44em}.katex .fontsize-ensurer.reset-size7.size10,.katex .katex-sizing.reset-size7.size10{font-size:1.72833em}.katex .fontsize-ensurer.reset-size7.size11,.katex .katex-sizing.reset-size7.size11{font-size:2.07333em}.katex .fontsize-ensurer.reset-size8.size1,.katex .katex-sizing.reset-size8.size1{font-size:.347222em}.katex .fontsize-ensurer.reset-size8.size2,.katex .katex-sizing.reset-size8.size2{font-size:.416667em}.katex .fontsize-ensurer.reset-size8.size3,.katex .katex-sizing.reset-size8.size3{font-size:.486111em}.katex .fontsize-ensurer.reset-size8.size4,.katex .katex-sizing.reset-size8.size4{font-size:.555556em}.katex .fontsize-ensurer.reset-size8.size5,.katex .katex-sizing.reset-size8.size5{font-size:.625em}.katex .fontsize-ensurer.reset-size8.size6,.katex .katex-sizing.reset-size8.size6{font-size:.694444em}.katex .fontsize-ensurer.reset-size8.size7,.katex .katex-sizing.reset-size8.size7{font-size:.833333em}.katex .fontsize-ensurer.reset-size8.size8,.katex .katex-sizing.reset-size8.size8{font-size:1em}.katex .fontsize-ensurer.reset-size8.size9,.katex .katex-sizing.reset-size8.size9{font-size:1.2em}.katex .fontsize-ensurer.reset-size8.size10,.katex .katex-sizing.reset-size8.size10{font-size:1.44028em}.katex .fontsize-ensurer.reset-size8.size11,.katex .katex-sizing.reset-size8.size11{font-size:1.72778em}.katex .fontsize-ensurer.reset-size9.size1,.katex .katex-sizing.reset-size9.size1{font-size:.289352em}.katex .fontsize-ensurer.reset-size9.size2,.katex .katex-sizing.reset-size9.size2{font-size:.347222em}.katex .fontsize-ensurer.reset-size9.size3,.katex .katex-sizing.reset-size9.size3{font-size:.405093em}.katex .fontsize-ensurer.reset-size9.size4,.katex .katex-sizing.reset-size9.size4{font-size:.462963em}.katex .fontsize-ensurer.reset-size9.size5,.katex .katex-sizing.reset-size9.size5{font-size:.520833em}.katex .fontsize-ensurer.reset-size9.size6,.katex .katex-sizing.reset-size9.size6{font-size:.578704em}.katex .fontsize-ensurer.reset-size9.size7,.katex .katex-sizing.reset-size9.size7{font-size:.694444em}.katex .fontsize-ensurer.reset-size9.size8,.katex .katex-sizing.reset-size9.size8{font-size:.833333em}.katex .fontsize-ensurer.reset-size9.size9,.katex .katex-sizing.reset-size9.size9{font-size:1em}.katex .fontsize-ensurer.reset-size9.size10,.katex .katex-sizing.reset-size9.size10{font-size:1.20023em}.katex .fontsize-ensurer.reset-size9.size11,.katex .katex-sizing.reset-size9.size11{font-size:1.43981em}.katex .fontsize-ensurer.reset-size10.size1,.katex .katex-sizing.reset-size10.size1{font-size:.24108em}.katex .fontsize-ensurer.reset-size10.size2,.katex .katex-sizing.reset-size10.size2{font-size:.289296em}.katex .fontsize-ensurer.reset-size10.size3,.katex .katex-sizing.reset-size10.size3{font-size:.337512em}.katex .fontsize-ensurer.reset-size10.size4,.katex .katex-sizing.reset-size10.size4{font-size:.385728em}.katex .fontsize-ensurer.reset-size10.size5,.katex .katex-sizing.reset-size10.size5{font-size:.433944em}.katex .fontsize-ensurer.reset-size10.size6,.katex .katex-sizing.reset-size10.size6{font-size:.48216em}.katex .fontsize-ensurer.reset-size10.size7,.katex .katex-sizing.reset-size10.size7{font-size:.578592em}.katex .fontsize-ensurer.reset-size10.size8,.katex .katex-sizing.reset-size10.size8{font-size:.694311em}.katex .fontsize-ensurer.reset-size10.size9,.katex .katex-sizing.reset-size10.size9{font-size:.833173em}.katex .fontsize-ensurer.reset-size10.size10,.katex .katex-sizing.reset-size10.size10{font-size:1em}.katex .fontsize-ensurer.reset-size10.size11,.katex .katex-sizing.reset-size10.size11{font-size:1.19961em}.katex .fontsize-ensurer.reset-size11.size1,.katex .katex-sizing.reset-size11.size1{font-size:.200965em}.katex .fontsize-ensurer.reset-size11.size2,.katex .katex-sizing.reset-size11.size2{font-size:.241158em}.katex .fontsize-ensurer.reset-size11.size3,.katex .katex-sizing.reset-size11.size3{font-size:.281351em}.katex .fontsize-ensurer.reset-size11.size4,.katex .katex-sizing.reset-size11.size4{font-size:.321543em}.katex .fontsize-ensurer.reset-size11.size5,.katex .katex-sizing.reset-size11.size5{font-size:.361736em}.katex .fontsize-ensurer.reset-size11.size6,.katex .katex-sizing.reset-size11.size6{font-size:.401929em}.katex .fontsize-ensurer.reset-size11.size7,.katex .katex-sizing.reset-size11.size7{font-size:.482315em}.katex .fontsize-ensurer.reset-size11.size8,.katex .katex-sizing.reset-size11.size8{font-size:.578778em}.katex .fontsize-ensurer.reset-size11.size9,.katex .katex-sizing.reset-size11.size9{font-size:.694534em}.katex .fontsize-ensurer.reset-size11.size10,.katex .katex-sizing.reset-size11.size10{font-size:.833601em}.katex .fontsize-ensurer.reset-size11.size11,.katex .katex-sizing.reset-size11.size11{font-size:1em}.katex .delimsizing.size1{font-family:KaTeX_Size1}.katex .delimsizing.size2{font-family:KaTeX_Size2}.katex .delimsizing.size3{font-family:KaTeX_Size3}.katex .delimsizing.size4{font-family:KaTeX_Size4}.katex .delimsizing.mult .delim-size1>span{font-family:KaTeX_Size1}.katex .delimsizing.mult .delim-size4>span{font-family:KaTeX_Size4}.katex .nulldelimiter{width:.12em;display:inline-block}.katex .delimcenter,.katex .op-symbol{position:relative}.katex .op-symbol.small-op{font-family:KaTeX_Size1}.katex .op-symbol.large-op{font-family:KaTeX_Size2}.katex .katex-accent>.vlist-t,.katex .op-limits>.vlist-t{text-align:center}.katex .katex-accent .accent-body{position:relative}.katex .katex-accent .accent-body:not(.accent-full){width:0}.katex .katex-overlay{display:block}.katex .mtable .vertical-separator{min-width:1px;display:inline-block}.katex .mtable .arraycolsep{display:inline-block}.katex .mtable .col-align-c>.vlist-t{text-align:center}.katex .mtable .col-align-l>.vlist-t{text-align:left}.katex .mtable .col-align-r>.vlist-t{text-align:right}.katex .svg-align{text-align:left}.katex svg{fill:currentColor;stroke:currentColor;height:inherit;width:100%;display:block;position:absolute}.katex svg path{stroke:none}.katex svg{fill-rule:nonzero;fill-opacity:1;stroke-width:1px;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:4;stroke-dasharray:none;stroke-dashoffset:0;stroke-opacity:1}.katex img{border-style:none;min-width:0;max-width:none;min-height:0;max-height:none}.katex .katex-stretchy{width:100%;display:block;position:relative;overflow:hidden}.katex .katex-stretchy:after,.katex .katex-stretchy:before{content:""}.katex .hide-tail{width:100%;position:relative;overflow:hidden}.katex .halfarrow-left{width:50.2%;position:absolute;left:0;overflow:hidden}.katex .halfarrow-right{width:50.2%;position:absolute;right:0;overflow:hidden}.katex .brace-left{width:25.1%;position:absolute;left:0;overflow:hidden}.katex .brace-center{width:50%;position:absolute;left:25%;overflow:hidden}.katex .brace-right{width:25.1%;position:absolute;right:0;overflow:hidden}.katex .x-arrow-pad{padding:0 .5em}.katex .cd-arrow-pad{padding:0 .55556em 0 .27778em}.katex .mover,.katex .munder,.katex .x-arrow{text-align:center}.katex .boxpad{padding:0 .3em}.katex .fbox,.katex .fcolorbox{box-sizing:border-box;border:.04em solid}.katex .cancel-pad{padding:0 .2em}.katex .cancel-lap{margin-left:-.2em;margin-right:-.2em}.katex .katex-sout{border-bottom-style:solid;border-bottom-width:.08em}.katex .angl{box-sizing:border-box;border-top:.049em solid;border-right:.049em solid;margin-right:.03889em}.katex .anglpad{padding:0 .03889em}.katex .eqn-num:before{content:"(" counter(katexEqnNo) ")";counter-increment:katexEqnNo}.katex .mml-eqn-num:before{content:"(" counter(mmlEqnNo) ")";counter-increment:mmlEqnNo}.katex .mtr-glue{width:50%}.katex .cd-vert-arrow{display:inline-block;position:relative}.katex .cd-label-left{text-align:left;display:inline-block;position:absolute;right:calc(50% + .3em)}.katex .cd-label-right{text-align:right;display:inline-block;position:absolute;left:calc(50% + .3em)}.katex-display{text-align:center;margin:1em 0;display:block}.katex-display>.katex{text-align:center;white-space:nowrap;display:block}.katex-display>.katex>.katex-html{display:block;position:relative}.katex-display>.katex>.katex-html>.katex-tag{position:absolute;right:0}.katex-display.leqno>.katex>.katex-html>.katex-tag{left:0;right:auto}.katex-display.fleqn>.katex{text-align:left;padding-left:2em}body{counter-reset:katexEqnNo mmlEqnNo}[data-astro-cid-z4jru4n3][data-theme=dark]{--primary:#7dd3fc;--primary-hover:#bae6fd;--primary-focus:#7dd3fc47;--color:#cad2d8;--muted-color:#a4afb7;--font-size:18px;--header-bg:#15212b;--header-text:#f2f6f9;--search-bg:#0d1418;--pf-background:#0d1418;--pf-text:#e8eef2;--pf-text-secondary:#c2ccd4;--pf-text-muted:#8b98a2;--pf-border:#2c3a45;--pf-border-focus:#7dd3fc;--pf-hover:#18232c;--pf-skeleton:#1c2933;--pf-skeleton-shine:#243440;--pf-mark:#ffe9a3;--pf-scroll-shadow:#00000080}:root:not([data-theme=dark]),[data-astro-cid-z4jru4n3][data-theme=light]{--primary:#0284c7;--primary-hover:#0369a1;--primary-focus:#0284c726;--muted-color:#52636f;--font-size:18px;--header-bg:#f7fafc;--header-text:#1a242c;--search-bg:#fff;--pf-background:#fff;--pf-text:#1a242c;--pf-text-secondary:#42515d;--pf-text-muted:#6b7a86;--pf-border:#d3dbe1;--pf-border-focus:#0284c7;--pf-hover:#eef3f6;--pf-skeleton:#e4ebf0;--pf-skeleton-shine:#d3dbe1;--pf-mark:#fef3c7;--pf-scroll-shadow:#00000026}html[data-theme=light]{background-color:var(--background-color)}@media (width>=768px){[data-astro-cid-z4jru4n3][data-theme=dark],:root:not([data-theme=dark]),[data-astro-cid-z4jru4n3][data-theme=light]{--font-size:19px}}html{text-size-adjust:100%}body{flex-direction:column;min-height:100vh;display:flex}@media (width>=1200px){.container[data-astro-cid-z4jru4n3]{max-width:1440px}}header[data-astro-cid-z4jru4n3]{background:var(--header-bg);border-bottom:1px solid var(--primary);z-index:50;padding:.5rem 0;position:sticky;top:0}@media (width>=1024px){header[data-astro-cid-z4jru4n3]{padding:.4rem 0}}header[data-astro-cid-z4jru4n3] .container[data-astro-cid-z4jru4n3]{justify-content:space-between;align-items:center;gap:1rem;display:flex}.header-left[data-astro-cid-z4jru4n3]{flex-shrink:0;align-items:center;gap:.25rem;display:flex}.header-left[data-astro-cid-z4jru4n3] .brand-link[data-astro-cid-z4jru4n3]{margin-left:.25rem}.nav-toggle[data-astro-cid-z4jru4n3]{background:color-mix(in srgb, var(--primary) 14%, transparent);color:var(--color);border:1px solid var(--primary);cursor:pointer;border-radius:8px;flex-shrink:0;justify-content:center;align-items:center;width:2.6rem;height:2.6rem;margin:0;padding:0;display:inline-flex}.nav-toggle[data-astro-cid-z4jru4n3]:hover,.nav-toggle[data-astro-cid-z4jru4n3]:focus-visible{background:var(--primary);color:#0b1220;border-color:var(--primary);outline:none}@media (width>=1024px){.nav-toggle[data-astro-cid-z4jru4n3]{display:none}}.header-search[data-astro-cid-z4jru4n3]{flex:1;min-width:0;max-width:30rem;display:flex}.header-search[data-astro-cid-z4jru4n3] pagefind-searchbox[data-astro-cid-z4jru4n3]{width:100%}.header-search[data-astro-cid-z4jru4n3] pagefind-searchbox[data-astro-cid-z4jru4n3]::part(input){border:1px solid var(--muted-border-color);background:var(--search-bg);width:100%;color:var(--color);border-radius:8px;padding:.5rem .9rem;font-size:.95rem}.header-search[data-astro-cid-z4jru4n3] pagefind-searchbox[data-astro-cid-z4jru4n3]::part(input)::placeholder{color:var(--muted-color)}.header-search[data-astro-cid-z4jru4n3] pagefind-searchbox[data-astro-cid-z4jru4n3]::part(input):focus{border-color:var(--primary);box-shadow:0 0 0 3px var(--primary-focus);outline:none}.header-icons[data-astro-cid-z4jru4n3]{flex-shrink:0;align-items:center;gap:.35rem;display:flex}.header-icon[data-astro-cid-z4jru4n3]{width:2.6rem;height:2.6rem;color:var(--muted-color);border:1px solid var(--muted-border-color);background:0 0;border-radius:8px;justify-content:center;align-items:center;margin:0;padding:0;line-height:1;text-decoration:none;transition:color .15s,border-color .15s,background .15s;display:inline-flex}.header-icon[data-astro-cid-z4jru4n3]:hover,.header-icon[data-astro-cid-z4jru4n3]:focus-visible{color:var(--primary);border-color:var(--primary);background:color-mix(in srgb, var(--primary) 10%, transparent);outline:none}button[data-astro-cid-z4jru4n3].theme-toggle,button[data-astro-cid-z4jru4n3].theme-toggle:not([role]){border:1px solid var(--muted-border-color);width:2.6rem;height:2.6rem;color:var(--header-text,#fff);font:inherit;box-shadow:none;cursor:pointer;background:0 0;border-radius:8px;flex-shrink:0;justify-content:center;align-items:center;margin:0;padding:0;line-height:1;text-decoration:none;display:inline-flex}button[data-astro-cid-z4jru4n3].theme-toggle:hover,button[data-astro-cid-z4jru4n3].theme-toggle:focus-visible{color:var(--primary);border-color:var(--primary);background:color-mix(in srgb, var(--primary) 10%, transparent);box-shadow:none;outline:none}header[data-astro-cid-z4jru4n3] a[data-astro-cid-z4jru4n3]{color:var(--header-text,#fff);text-decoration:none}.brand-link[data-astro-cid-z4jru4n3]{white-space:nowrap;align-items:center;font-size:1.3rem;font-weight:700;display:inline-flex}.brand-link[data-astro-cid-z4jru4n3] img[data-astro-cid-z4jru4n3]{flex-shrink:0;width:2.6rem;height:2.6rem}.brand-short[data-astro-cid-z4jru4n3]{display:none}@media (width<=600px){.brand-full[data-astro-cid-z4jru4n3]{display:none}.brand-short[data-astro-cid-z4jru4n3]{display:inline}}@media (width<=640px){.brand-full[data-astro-cid-z4jru4n3],.brand-short[data-astro-cid-z4jru4n3]{display:none}header[data-astro-cid-z4jru4n3] .container[data-astro-cid-z4jru4n3]{flex-wrap:nowrap;justify-content:flex-start;align-items:center;gap:.25rem;padding-inline:.5rem;display:flex}.header-left[data-astro-cid-z4jru4n3],.header-icons[data-astro-cid-z4jru4n3]{flex:none;align-self:center}.header-icons[data-astro-cid-z4jru4n3]{gap:.25rem}.header-search[data-astro-cid-z4jru4n3],.header-icons[data-astro-cid-z4jru4n3] .header-icon[data-astro-cid-z4jru4n3][title=RSS\ feed],.header-icons[data-astro-cid-z4jru4n3] .header-icon[data-astro-cid-z4jru4n3][title=GitHub\ repository]{display:none}.brand-link[data-astro-cid-z4jru4n3] img[data-astro-cid-z4jru4n3]{background:var(--search-bg);border:1px solid var(--muted-border-color);border-radius:8px;width:2.6rem;height:2.6rem;margin-right:.15rem}.header-icon[data-astro-cid-z4jru4n3],button[data-astro-cid-z4jru4n3].theme-toggle,button[data-astro-cid-z4jru4n3].theme-toggle:not([role]){width:2.6rem;height:2.6rem}.nav-toggle[data-astro-cid-z4jru4n3],.header-icon[data-astro-cid-z4jru4n3],button[data-astro-cid-z4jru4n3].theme-toggle{border-radius:8px}}main[data-astro-cid-z4jru4n3]{flex:1;padding-top:1rem}article{box-shadow:none;background:0 0;border-radius:0;margin:0;padding:0}.page-header h1{margin-top:0;margin-bottom:.5rem;line-height:1.35}.docs-layout[data-astro-cid-z4jru4n3]{grid-template-columns:1fr;align-items:start;gap:2rem;display:grid}@media (width>=1024px){.docs-layout[data-astro-cid-z4jru4n3]{grid-template-columns:16.5rem minmax(0,1fr)}}@media (width>=1280px){.docs-layout[data-astro-cid-z4jru4n3]{grid-template-columns:16.5rem minmax(0,1fr) 19rem}}@media (width>=1024px){[data-sidebar-collapsed] .sidebar[data-astro-cid-z4jru4n3]{display:none}[data-sidebar-collapsed] .docs-layout[data-astro-cid-z4jru4n3]{grid-template-columns:minmax(0,1fr);padding-left:2rem}}@media (width>=1280px){[data-sidebar-collapsed] .docs-layout[data-astro-cid-z4jru4n3]{grid-template-columns:minmax(0,1fr) 19rem}}.sidebar-toggle[data-astro-cid-z4jru4n3]{box-shadow:none;width:2.6rem;height:2.6rem;color:var(--header-text,#fff);cursor:pointer;font:inherit;background:0 0;border:none;flex-shrink:0;justify-content:center;align-items:center;margin:0;padding:0;line-height:1;text-decoration:none;display:none!important}.sidebar-toggle[data-astro-cid-z4jru4n3]:hover,.sidebar-toggle[data-astro-cid-z4jru4n3]:focus-visible{color:var(--primary);background:0 0;outline:none}:root:not([data-theme=dark]) .sidebar-toggle[data-astro-cid-z4jru4n3],[data-astro-cid-z4jru4n3][data-theme=light] .sidebar-toggle[data-astro-cid-z4jru4n3]{color:#000}@media (width>=1024px){.sidebar-toggle[data-astro-cid-z4jru4n3]{display:inline-flex!important}}.nav-backdrop[data-astro-cid-z4jru4n3]{z-index:30;cursor:pointer;background:#00000080;border:0;display:none;position:fixed;inset:0}.sidebar[data-astro-cid-z4jru4n3]{top:var(--drawer-top,4rem);z-index:35;height:calc(100dvh - var(--drawer-top,4rem));background:var(--background-color);border-right:1px solid var(--card-border-color);width:17rem;max-width:80vw;padding:1rem 1.25rem 1.5rem 1rem;transition:transform .25s;position:fixed;left:0;overflow-y:auto;transform:translate(-105%)}[data-nav-open] .nav-backdrop[data-astro-cid-z4jru4n3]{display:block}[data-nav-open] .sidebar[data-astro-cid-z4jru4n3]{transform:translate(0)}@media (width>=1024px){.nav-backdrop[data-astro-cid-z4jru4n3]{display:none!important}.sidebar[data-astro-cid-z4jru4n3]{top:calc(var(--drawer-top,4rem) + 1rem);height:auto;max-height:calc(100dvh - var(--drawer-top,4rem) - 1rem);z-index:auto;border-right:1px solid var(--card-border-color);background:0 0;width:auto;max-width:none;padding:0 .5rem 0 0;transition:none;position:sticky;transform:none}}.sidebar-heading[data-astro-cid-z4jru4n3]{border-bottom:1px solid var(--card-border-color);margin-bottom:.75rem;padding-bottom:.6rem}.sidebar-heading[data-astro-cid-z4jru4n3] a[data-astro-cid-z4jru4n3]{color:var(--color);font-size:1.05rem;font-weight:700;text-decoration:none}.sidebar-heading[data-astro-cid-z4jru4n3] a[data-astro-cid-z4jru4n3]:hover{color:var(--primary)}.sidebar-count[data-astro-cid-z4jru4n3]{color:var(--muted-color);margin-top:.2rem;font-size:.78rem;display:block}.sidebar-tabs[data-astro-cid-z4jru4n3]{background:color-mix(in srgb, var(--card-background-color) 55%, transparent);border:1px solid var(--card-border-color);border-radius:10px;gap:0;margin:0 0 .75rem;padding:.2rem;display:flex}.sidebar-tab[data-astro-cid-z4jru4n3]{color:var(--muted-color);font:inherit;cursor:pointer;text-align:center;box-shadow:none;white-space:nowrap;background:0 0;border:none;border-radius:0;flex:1;justify-content:center;align-items:center;gap:.2rem;padding:.45rem .15rem;font-size:.7rem;font-weight:600;line-height:1.2;display:inline-flex;position:relative}.sidebar-tab[data-astro-cid-z4jru4n3]+.sidebar-tab[data-astro-cid-z4jru4n3]{border-left:1px solid var(--card-border-color)}.sidebar-tab[data-astro-cid-z4jru4n3] svg[data-astro-cid-z4jru4n3]{flex-shrink:0}.sidebar-tab[data-astro-cid-z4jru4n3]:hover{color:var(--primary);background:color-mix(in srgb, var(--primary) 6%, transparent)}.sidebar-tab[data-astro-cid-z4jru4n3][aria-selected=true]{color:var(--primary);background:color-mix(in srgb, var(--primary) 10%, transparent);box-shadow:inset 0 -2px 0 var(--primary)}@media (width<=1023px){.sidebar-tab[data-astro-cid-z4jru4n3] span[data-astro-cid-z4jru4n3]{display:none}.sidebar-tab[data-astro-cid-z4jru4n3]{padding:.45rem .5rem}}.sidebar-panel[data-astro-cid-z4jru4n3][hidden]{display:none}.nav-section[data-astro-cid-z4jru4n3]{border:none;margin:0 0 .35rem;padding:0}.nav-section[data-astro-cid-z4jru4n3]>summary[data-astro-cid-z4jru4n3]{cursor:pointer;color:var(--color);border-radius:6px;padding:.4rem .25rem;font-size:.9rem;font-weight:600;list-style-position:outside}.nav-section[data-astro-cid-z4jru4n3]>summary[data-astro-cid-z4jru4n3]:hover{color:var(--primary)}.nav-section-body[data-astro-cid-z4jru4n3]{padding:.1rem 0 .5rem .6rem}.nav-group[data-astro-cid-z4jru4n3]{margin-bottom:.6rem}.nav-group-label[data-astro-cid-z4jru4n3]{color:var(--muted-color);text-transform:uppercase;letter-spacing:.05em;margin-bottom:.25rem;font-size:.72rem;font-weight:600}.nav-list[data-astro-cid-z4jru4n3]{border-left:1px solid var(--muted-border-color);margin:0;padding:0;list-style:none}.nav-list[data-astro-cid-z4jru4n3] li[data-astro-cid-z4jru4n3]{margin:0}.nav-list[data-astro-cid-z4jru4n3] a[data-astro-cid-z4jru4n3]{color:var(--muted-color);border-radius:4px;padding:.22rem .6rem;font-size:.9rem;text-decoration:none;display:block}.nav-list[data-astro-cid-z4jru4n3] a[data-astro-cid-z4jru4n3]:hover{color:var(--primary);background:color-mix(in srgb, var(--primary) 8%, transparent)}.middle[data-astro-cid-z4jru4n3]{min-width:0;max-width:70rem}.right-col[data-astro-cid-z4jru4n3]{border-left:1px solid var(--card-border-color);padding-left:.5rem}@media (width>=1024px){.right-col[data-astro-cid-z4jru4n3]{top:calc(var(--drawer-top,4rem) + 1rem);max-height:calc(100dvh - var(--drawer-top,4rem) - 1rem);overscroll-behavior:contain;position:sticky;overflow-y:auto}.recent-rail[data-astro-cid-z4jru4n3]{margin-top:1.75rem}}footer[data-astro-cid-z4jru4n3]{text-align:center;color:var(--muted-color);padding:2rem 0;font-size:.85rem}footer[data-astro-cid-z4jru4n3] .footer-nav[data-astro-cid-z4jru4n3]{margin-bottom:1.5rem}footer[data-astro-cid-z4jru4n3] .footer-nav[data-astro-cid-z4jru4n3] a[data-astro-cid-z4jru4n3]{color:var(--color);font-size:1rem;font-weight:500;text-decoration:none}footer[data-astro-cid-z4jru4n3] .footer-nav[data-astro-cid-z4jru4n3] a[data-astro-cid-z4jru4n3]:hover{color:var(--primary)}.site-footer[data-astro-cid-z4jru4n3]{border-top:1px solid var(--muted-border-color);flex-direction:column;align-items:center;gap:.85rem;padding-top:1.5rem;display:flex}.footer-badges[data-astro-cid-z4jru4n3]{flex-wrap:wrap;justify-content:center;align-items:center;gap:.75rem;display:flex}.ai-badge[data-astro-cid-z4jru4n3]{background:color-mix(in srgb, var(--primary) 15%, transparent);border:1px solid color-mix(in srgb, var(--primary) 28%, transparent);color:var(--primary);border-radius:999px;align-items:center;gap:.3rem;padding:.2rem .75rem;font-size:.8rem;font-weight:500;display:inline-flex}.footer-text[data-astro-cid-z4jru4n3],.footer-disclaimer[data-astro-cid-z4jru4n3],.footer-contact[data-astro-cid-z4jru4n3]{max-width:46rem;margin:0;font-weight:400;line-height:1.5}.footer-text[data-astro-cid-z4jru4n3]{color:var(--muted-color);font-size:.8rem}.footer-text[data-astro-cid-z4jru4n3] strong[data-astro-cid-z4jru4n3]{font-weight:500}.footer-text[data-astro-cid-z4jru4n3] .ai-sparkle[data-astro-cid-z4jru4n3]{margin-right:.15rem}.footer-disclaimer[data-astro-cid-z4jru4n3],.footer-contact[data-astro-cid-z4jru4n3]{color:var(--muted-color);font-size:.8rem}.footer-link[data-astro-cid-z4jru4n3]{color:var(--primary);text-decoration:none}.footer-link[data-astro-cid-z4jru4n3]:hover{text-decoration:underline}.page-header[data-astro-cid-z4jru4n3]{border-bottom:2px solid var(--primary);margin-bottom:2rem;padding-bottom:1rem}.blockquote[data-astro-cid-z4jru4n3]{border-left:4px solid var(--primary);background:var(--card-background-color);border-radius:0 8px 8px 0;margin:1.5rem 0;padding:1rem 1.5rem}.tag-chip[data-astro-cid-z4jru4n3]{background:color-mix(in srgb, var(--primary) 18%, transparent);border:1px solid color-mix(in srgb, var(--primary) 30%, transparent);color:var(--primary);border-radius:12px;margin:.15rem;padding:.15rem .6rem;font-size:.8rem;text-decoration:none;display:inline-block}.tag-chip[data-astro-cid-z4jru4n3]:hover{opacity:.9;color:var(--primary)}h2[data-astro-cid-z4jru4n3][id],h3[data-astro-cid-z4jru4n3][id],#top[data-astro-cid-z4jru4n3]{scroll-margin-top:5rem}.heading-anchor[data-astro-cid-z4jru4n3]{color:var(--muted-color);opacity:0;margin-left:.15rem;font-weight:400;text-decoration:none;transition:opacity .15s}h2[data-astro-cid-z4jru4n3]:hover .heading-anchor[data-astro-cid-z4jru4n3],h3[data-astro-cid-z4jru4n3]:hover .heading-anchor[data-astro-cid-z4jru4n3],.heading-anchor[data-astro-cid-z4jru4n3]:focus-visible{opacity:1}.heading-anchor[data-astro-cid-z4jru4n3]:before{content:"#"}.heading-anchor[data-astro-cid-z4jru4n3]:hover{color:var(--primary)}.citation[data-astro-cid-z4jru4n3]{background:var(--card-background-color);border-radius:8px;margin-top:3rem;padding:1rem}.page-item[data-astro-cid-z4jru4n3]{border-bottom:1px solid var(--card-border-color);padding:.5rem 0}.page-item[data-astro-cid-z4jru4n3]:last-child{border-bottom:none}.search-bar[data-astro-cid-z4jru4n3]{margin:1rem 0 2rem}.search-bar[data-astro-cid-z4jru4n3] input[data-astro-cid-z4jru4n3]{width:100%;padding:.75rem 1rem;font-size:1.05rem}table[data-astro-cid-z4jru4n3]{border-collapse:collapse;width:100%;margin:1rem 0}@media (width<=768px){table[data-astro-cid-z4jru4n3]{white-space:nowrap;display:block;overflow-x:auto}}th[data-astro-cid-z4jru4n3],td[data-astro-cid-z4jru4n3]{border:1px solid var(--card-border-color);text-align:left;padding:.5rem .75rem}th[data-astro-cid-z4jru4n3]{background:#0000000a;font-weight:600}tr[data-astro-cid-z4jru4n3]:nth-child(2n){background:#00000005}