:root{--font-color: white;--link-color: #e0ba6d;--primary-color: #e0ba6d;--nav-color: #cccccc;--title-color: #e0ba6d;--bg-glass: rgba(17, 17, 17, .65);--bg-input: rgba(30, 30, 30, .95);--border-glass: rgba(212, 160, 23, .25);--gold-glow: rgba(212, 160, 23, .25);--gh-gold: #e0ba6d;--color-success: #28a745;--color-error: #dc3545;--color-warning: #ffc107}html,body{max-width:100vw;overflow-x:hidden}body{margin:0;min-height:100dvh;display:flex;flex-direction:column;color:#fff;background-color:#000;font-family:Lato,sans-serif;font-style:normal}body:before{content:"";position:fixed;top:0;left:0;width:100%;height:100vh;height:100dvh;z-index:-1;pointer-events:none;background-image:url(/img/gnoll-illustration-darkened-bottom-w1920-q60.webp);background-repeat:no-repeat;background-size:cover;background-position-y:top;background-position-x:center;will-change:transform}h1,h2,h3,.title{font-family:Cinzel,serif;font-optical-sizing:auto;font-style:normal;color:var(--title-color)}a{color:var(--link-color);transition:color .2s ease;text-decoration:none}a:hover{color:#fce6a8}.gh-main-container{background:var(--bg-glass);backdrop-filter:blur(12px);-webkit-backdrop-filter:blur(12px);border:1px solid var(--border-glass);border-radius:12px;box-shadow:0 10px 30px #000c;transition:all .3s ease-in-out}.btn-gh{background-color:transparent;background-image:url(/img/decorativebutton-nobg-noglow.webp);background-size:100% 100%;background-repeat:no-repeat;color:#fff;border:none;font-family:Cinzel,serif;font-weight:600;font-size:15px;padding:10px 20px;cursor:pointer;transition:filter .2s;display:inline-flex;align-items:center;justify-content:center;min-width:140px;min-height:44px}.btn-gh:hover{filter:drop-shadow(0 0 5px var(--primary-color))}.btn-gh:disabled{filter:grayscale(100%);cursor:not-allowed}.btn-gh-cancel{filter:hue-rotate(180deg) brightness(.8)}.btn-gh-cancel:hover{filter:hue-rotate(180deg) brightness(1) drop-shadow(0 0 5px #8da0d4)}.btn-gh-delete{filter:hue-rotate(315deg) brightness(.9)}.btn-gh-delete:hover{filter:hue-rotate(315deg) brightness(1.1) drop-shadow(0 0 5px #ff6b6b)}.nav-back-link{background:transparent;color:var(--link-color);border:1px solid var(--border-glass);border-radius:4px;padding:5px 15px;cursor:pointer;font-family:Cinzel,serif;transition:all .2s ease;white-space:nowrap;text-decoration:none}.nav-back-link:hover{background:#d4a0171a;color:#fce6a8;box-shadow:0 0 10px var(--gold-glow)}.gh-input{background:var(--bg-input);border:1px solid var(--border-glass);color:#fff;padding:8px;border-radius:4px;box-sizing:border-box}.gh-input:focus{outline:none;border-color:var(--primary-color);box-shadow:0 0 5px var(--gold-glow)}.form-hint{font-size:.85em;color:#aaa;font-weight:400;display:block}*{scrollbar-width:thin;scrollbar-color:var(--border-glass) rgba(17,17,17,.8)}::-webkit-scrollbar{width:10px;height:10px}::-webkit-scrollbar-track{background:#111c;border-left:1px solid var(--border-glass)}::-webkit-scrollbar-thumb{background:var(--bg-input);border:1px solid var(--border-glass);border-radius:5px}::-webkit-scrollbar-thumb:hover{background:#333;border-color:var(--primary-color)}.toast-success{margin:0;border:1px solid var(--color-success);background-color:#28a7451a;color:var(--color-success);padding:10px 20px;border-radius:8px;font-weight:700;box-shadow:0 4px 12px #00000080;transition:display .3s allow-discrete,opacity .3s,transform .3s;opacity:0;transform:translateY(5px);position-anchor:--save-btn;left:calc(anchor(right) + 15px);top:anchor(center);translate:0 -50%}.toast-success:is(:popover-open,.\:popover-open){opacity:1;transform:translateY(0)}@starting-style{.toast-success:is(:popover-open,.\:popover-open){opacity:0;transform:translateY(5px)}}@supports not (anchor-name: --save-btn){.toast-success{inset:auto 30px 30px auto;translate:0 0}}.toast-error{inset:20px 20px auto auto;margin:0;background:#dc3545f2;border:1px solid var(--color-error);border-radius:8px;color:#fff;padding:15px;box-shadow:0 4px 12px #00000080;transition:display .3s allow-discrete,opacity .3s,transform .3s;opacity:0;transform:translateY(-20px);z-index:9999}@media(max-width:600px){.toast-error{max-width:calc(100vw - 40px)}}.toast-error:is(:popover-open,.\:popover-open){opacity:1;transform:translateY(0)}@starting-style{.toast-error:is(:popover-open,.\:popover-open){opacity:0;transform:translateY(-20px)}}.toast-content{display:flex;align-items:flex-start;gap:12px}.toast-icon{font-size:24px}.toast-body{flex-grow:1}.toast-body strong{display:block;margin-bottom:4px;font-family:Cinzel,serif}.toast-body p{margin:0;font-size:14px}.toast-close{background:transparent;border:none;color:#fff;font-size:20px;cursor:pointer;padding:0;line-height:1;margin-top:-4px}.segmented-control{display:inline-flex;background:#0006;border:1px solid var(--border-glass);border-radius:20px;padding:3px;margin-bottom:15px}.segmented-control label{padding:6px 16px;cursor:pointer;border-radius:17px;margin:0;font-size:.9em;font-weight:500;color:#aaa;transition:all .3s ease}.segmented-control input[type=radio]{display:none}.segmented-control label:has(input:checked){background:var(--primary-color);color:#000;box-shadow:0 0 5px var(--gold-glow)}.gh-dialog{width:100%;padding:20px 30px;border:1px solid var(--border-glass);border-radius:8px;background:#141414f2;color:#fff;box-shadow:0 4px 15px #00000080;backdrop-filter:blur(5px);-webkit-backdrop-filter:blur(5px);max-width:400px}@media(max-width:600px){.gh-dialog{max-width:95vw;padding:15px 20px}}.gh-dialog::backdrop{background:#0009;backdrop-filter:blur(2px);-webkit-backdrop-filter:blur(2px)}.gh-dialog h3{font-family:Cinzel,serif;color:var(--title-color);margin-top:0}.modal-actions{display:flex;justify-content:flex-end;gap:10px;margin-top:25px}.modal-error{color:var(--color-error)}.dialog-actions{display:flex;justify-content:flex-end;gap:10px;margin-top:20px}.header-row{display:flex;justify-content:space-between;align-items:center;padding:20px 30px;border-bottom:1px solid var(--border-glass);margin:0}.header-row h2{margin-top:0;margin-block-end:0}.header-actions{display:flex;flex-wrap:wrap;gap:10px;align-items:center}@media(max-width:600px){.header-row{flex-direction:column;align-items:flex-start;gap:10px;padding:15px}}.settings-description{color:#ccc;margin-bottom:20px;padding:0 30px;margin-top:20px}.provider-badge{padding:2px 6px;border-radius:4px;font-size:.75rem;font-weight:600;background:#ffffff1a;color:#ddd}.btn-info{background:transparent;color:var(--primary-color);border:1px solid var(--border-glass);border-radius:50%;width:32px;height:32px;display:flex;justify-content:center;align-items:center;cursor:pointer;font-size:1.2em;transition:all .2s;padding:0}.btn-info:hover{background:#d4a01733;border-color:var(--primary-color);box-shadow:0 0 8px var(--gold-glow)}.btn-icon-action{background:transparent;color:var(--nav-color);border:1px solid transparent;border-radius:6px;width:44px;height:44px;display:inline-flex;justify-content:center;align-items:center;cursor:pointer;padding:10px;transition:all .2s ease}.btn-icon-action:hover:not(:disabled){background:#d4a0171a;color:var(--primary-color);border-color:var(--primary-color);box-shadow:0 0 8px var(--gold-glow)}.btn-icon-action.delete:hover:not(:disabled){color:#ff6b6b;border-color:#ff6b6b;box-shadow:0 0 8px #ff6b6b66;background:#ff6b6b1a}.btn-icon-action:disabled{opacity:.5;cursor:not-allowed}.api-instructions{margin-top:15px;padding-left:20px;color:#ccc}.api-instructions li{margin-bottom:10px}.w-100{width:100%}.w-auto{width:auto}.flex-1{flex:1}.m-0{margin:0}.mt-5{margin-top:5px}.mt-10{margin-top:10px}.mt-15{margin-top:15px}.mt-20{margin-top:20px}.mb-10{margin-bottom:10px}.margin-y-20{margin-block:20px}.flex-gap-10{display:flex;gap:10px}.flex-gap-15{display:flex;gap:15px}.gap-15{gap:15px}.flex-center{display:flex;justify-content:center;align-items:center}.flex-col{display:flex;flex-direction:column}.ml-10{margin-left:10px}.ms-10{margin-inline-start:10px}.mt-auto{margin-top:auto}.pt-20{padding-top:20px}.gh-spinner-small{display:inline-block;border:2px solid rgba(255,255,255,.1);border-left-color:#fff;border-radius:50%;animation:spin 1s linear infinite;width:16px;height:16px;border-width:2px;margin:0}@keyframes spin{to{transform:rotate(360deg)}}input[type=number]::-webkit-inner-spin-button,input[type=number]::-webkit-outer-spin-button{-webkit-appearance:none;background-image:url("data:image/svg+xml;charset=US-ASCII,%3Csvg width='12' height='16' xmlns='http://www.w3.org/2000/svg'%3E%3Cpath fill='%23d4af37' d='M6 0L12 6H0z M6 16L0 10h12z'/%3E%3C/svg%3E");background-repeat:no-repeat;background-position:center;width:14px;opacity:.8;cursor:pointer;transition:opacity .2s}input[type=number]::-webkit-inner-spin-button:hover,input[type=number]::-webkit-outer-spin-button:hover{opacity:1}.gh-switch-wrapper{cursor:pointer;-webkit-user-select:none;user-select:none}.gh-switch-wrapper .gh-switch{position:relative;display:inline-block;width:44px;height:24px}.gh-switch-wrapper .gh-switch input{opacity:0;width:0;height:0}.gh-switch-wrapper .gh-switch .gh-slider{position:absolute;cursor:pointer;inset:0;background-color:#ffffff1a;transition:.3s;border-radius:24px;border:1px solid var(--border-glass, #444)}.gh-switch-wrapper .gh-switch .gh-slider:before{position:absolute;content:"";height:18px;width:18px;left:2px;top:2px;background-color:#ccc;transition:.3s;border-radius:50%}.gh-switch-wrapper .gh-switch input:checked+.gh-slider{background-color:#d4af3733;border-color:#d4af37}.gh-switch-wrapper .gh-switch input:focus+.gh-slider{box-shadow:0 0 1px #d4af37}.gh-switch-wrapper .gh-switch input:checked+.gh-slider:before{transform:translate(20px);background-color:#d4af37;box-shadow:0 0 5px #d4af37}.settings-dialog{padding:0;border:2px solid var(--primary-color);border-radius:8px;background-color:var(--bg-glass);color:#fff;box-shadow:0 0 20px #000c,inset 0 0 20px #d4af371a;max-width:500px;width:90vw}.settings-dialog::backdrop{background:#0009;-webkit-backdrop-filter:blur(4px);backdrop-filter:blur(4px)}.dialog-content{padding:20px}.dialog-content h3{margin-top:0;margin-bottom:20px;font-size:1.25rem;color:var(--primary-color)}.dialog-actions{display:flex;justify-content:flex-end;gap:15px;margin-top:20px;padding-top:15px;border-top:1px solid var(--border-glass)}.dialog-header{margin-bottom:20px}.dialog-header h3{margin:0;font-size:1.25rem;font-weight:600;color:var(--title-color)}.form-group{display:flex;flex-direction:column;gap:8px;margin-bottom:15px}.form-group.mt-3{margin-top:15px}.form-group label{font-weight:500;color:#ddd;margin-bottom:5px}.form-control{padding:8px 12px;border:1px solid var(--border-glass);background-color:var(--bg-input);color:#fff;border-radius:4px;font-size:.95rem;width:100%;box-sizing:border-box}.form-control:focus{outline:none;border-color:var(--primary-color);box-shadow:0 0 5px #d4af374d}.form-control:disabled{opacity:.6;cursor:not-allowed}.status-badge{font-size:.75rem;padding:2px 6px;border-radius:4px;font-weight:400}.status-badge.badge-success{background-color:#2ecc7133;color:#2ecc71}.status-badge.badge-warning{background-color:#f1c40f33;color:#f1c40f}.status-badge.badge-danger{background-color:#e74c3c33;color:#e74c3c}.status-badge.has-key{background:#32cd3233;color:var(--color-success);border:1px solid var(--color-success)}.status-badge.badge-role-chat{background-color:#3b82f626;border:1px solid rgba(59,130,246,.5);color:#60a5fa}.status-badge.badge-role-title{background-color:#6366f126;border:1px solid rgba(99,102,241,.5);color:#818cf8}.status-badge.badge-role-all{background-color:#a855f726;border:1px solid rgba(168,85,247,.5);color:#c084fc}.error-message{padding:10px;background:#e74c3c1a;color:#e74c3c;border-radius:4px;border-left:3px solid #e74c3c;margin-bottom:15px;font-size:.9rem;display:flex;align-items:center;gap:8px}.error-message .gh-icon{font-size:18px}.models-list{display:flex;flex-direction:column;gap:15px;padding:10px 0}.model-item{display:flex;align-items:center;flex-wrap:wrap;padding:15px;border:1px solid var(--border-glass);border-radius:4px;background-color:#111111a6;box-shadow:inset 0 0 10px #d4af371a;transition:all .2s}.model-item.dragging{opacity:.5}.model-item.drag-over-top{border-top:2px solid var(--gh-gold)}.model-item.drag-over-bottom{border-bottom:2px solid var(--gh-gold)}.drag-handle{cursor:grab;padding:5px;margin-right:20px;color:#999}.drag-handle:active{cursor:grabbing}.action-btn{display:inline-flex;align-items:center;justify-content:center;width:32px;height:32px;border-radius:4px;background:#ffffff0d;border:1px solid var(--border-glass);color:#ccc;cursor:pointer;transition:all .2s ease;margin-left:5px;padding:0}.action-btn:hover{background:#d4af3726;border-color:var(--gh-gold);color:var(--gh-gold)}.action-btn svg{width:16px;height:16px}.action-btn-danger:hover{background:#dc354526;border-color:#ff4d4d;color:#ff4d4d}.action-btn-success:hover{background:#2ecc7126;border-color:#2ecc71;color:#2ecc71}.model-info{flex:1 1 0%;min-width:0;display:flex;flex-direction:column;gap:5px}.model-title{display:flex;align-items:center;gap:10px}.model-title h3{margin:0;font-size:1.1rem;font-weight:600;color:var(--title-color)}.model-details{font-size:.85rem;color:#aaa}.model-actions{display:flex;align-items:center;gap:8px}@media(max-width:600px){.model-actions{width:100%;justify-content:flex-end;margin-top:15px}}.flex-between{display:flex;justify-content:space-between;align-items:center;width:100%}.d-flex{display:flex!important}.align-items-center{align-items:center!important}@font-face{font-display:block;font-family:KaTeX_AMS;font-style:normal;font-weight:400;src:url("./media/KaTeX_AMS-Regular-U6PRYMIZ.woff2") format("woff2"),url("./media/KaTeX_AMS-Regular-CYEKBG2K.woff") format("woff"),url("./media/KaTeX_AMS-Regular-JKX5W2C4.ttf") format("truetype")}@font-face{font-display:block;font-family:KaTeX_Caligraphic;font-style:normal;font-weight:700;src:url("./media/KaTeX_Caligraphic-Bold-5QL5CMTE.woff2") format("woff2"),url("./media/KaTeX_Caligraphic-Bold-WZ3QSGD3.woff") format("woff"),url("./media/KaTeX_Caligraphic-Bold-ZTS3R3HK.ttf") format("truetype")}@font-face{font-display:block;font-family:KaTeX_Caligraphic;font-style:normal;font-weight:400;src:url("./media/KaTeX_Caligraphic-Regular-KX5MEWCF.woff2") format("woff2"),url("./media/KaTeX_Caligraphic-Regular-3LKEU76G.woff") format("woff"),url("./media/KaTeX_Caligraphic-Regular-A7XRTZ5Q.ttf") format("truetype")}@font-face{font-display:block;font-family:KaTeX_Fraktur;font-style:normal;font-weight:700;src:url("./media/KaTeX_Fraktur-Bold-2QVFK6NQ.woff2") format("woff2"),url("./media/KaTeX_Fraktur-Bold-T4SWXBMT.woff") format("woff"),url("./media/KaTeX_Fraktur-Bold-WGHVTYOR.ttf") format("truetype")}@font-face{font-display:block;font-family:KaTeX_Fraktur;font-style:normal;font-weight:400;src:url("./media/KaTeX_Fraktur-Regular-2PEIFJSJ.woff2") format("woff2"),url("./media/KaTeX_Fraktur-Regular-PQMHCIK6.woff") format("woff"),url("./media/KaTeX_Fraktur-Regular-5U4OPH2X.ttf") format("truetype")}@font-face{font-display:block;font-family:KaTeX_Main;font-style:normal;font-weight:700;src:url("./media/KaTeX_Main-Bold-YP5VVQRP.woff2") format("woff2"),url("./media/KaTeX_Main-Bold-2GA4IZIN.woff") format("woff"),url("./media/KaTeX_Main-Bold-W5FBVCZM.ttf") format("truetype")}@font-face{font-display:block;font-family:KaTeX_Main;font-style:italic;font-weight:700;src:url("./media/KaTeX_Main-BoldItalic-N4V3DX7S.woff2") format("woff2"),url("./media/KaTeX_Main-BoldItalic-4P4C7HJH.woff") format("woff"),url("./media/KaTeX_Main-BoldItalic-ODMLBJJQ.ttf") format("truetype")}@font-face{font-display:block;font-family:KaTeX_Main;font-style:italic;font-weight:400;src:url("./media/KaTeX_Main-Italic-RELBIK7M.woff2") format("woff2"),url("./media/KaTeX_Main-Italic-SASNQFN2.woff") format("woff"),url("./media/KaTeX_Main-Italic-I43T2HSR.ttf") format("truetype")}@font-face{font-display:block;font-family:KaTeX_Main;font-style:normal;font-weight:400;src:url("./media/KaTeX_Main-Regular-ARRPAO67.woff2") format("woff2"),url("./media/KaTeX_Main-Regular-P5I74A2A.woff") format("woff"),url("./media/KaTeX_Main-Regular-W74P5G27.ttf") format("truetype")}@font-face{font-display:block;font-family:KaTeX_Math;font-style:italic;font-weight:700;src:url("./media/KaTeX_Math-BoldItalic-K4WTGH3J.woff2") format("woff2"),url("./media/KaTeX_Math-BoldItalic-6EBV3DK5.woff") format("woff"),url("./media/KaTeX_Math-BoldItalic-VB447A4D.ttf") format("truetype")}@font-face{font-display:block;font-family:KaTeX_Math;font-style:italic;font-weight:400;src:url("./media/KaTeX_Math-Italic-6KGCHLFN.woff2") format("woff2"),url("./media/KaTeX_Math-Italic-KKK3USB2.woff") format("woff"),url("./media/KaTeX_Math-Italic-SON4MRCA.ttf") format("truetype")}@font-face{font-display:block;font-family:KaTeX_SansSerif;font-style:normal;font-weight:700;src:url("./media/KaTeX_SansSerif-Bold-RRNVJFFW.woff2") format("woff2"),url("./media/KaTeX_SansSerif-Bold-X5M5EMOD.woff") format("woff"),url("./media/KaTeX_SansSerif-Bold-STQ6RXC7.ttf") format("truetype")}@font-face{font-display:block;font-family:KaTeX_SansSerif;font-style:italic;font-weight:400;src:url("./media/KaTeX_SansSerif-Italic-HMPFTM52.woff2") format("woff2"),url("./media/KaTeX_SansSerif-Italic-PSN4QKYX.woff") format("woff"),url("./media/KaTeX_SansSerif-Italic-WTBAZBGY.ttf") format("truetype")}@font-face{font-display:block;font-family:KaTeX_SansSerif;font-style:normal;font-weight:400;src:url("./media/KaTeX_SansSerif-Regular-XIQ62X4E.woff2") format("woff2"),url("./media/KaTeX_SansSerif-Regular-OQCII6EP.woff") format("woff"),url("./media/KaTeX_SansSerif-Regular-2TL3USAE.ttf") format("truetype")}@font-face{font-display:block;font-family:KaTeX_Script;font-style:normal;font-weight:400;src:url("./media/KaTeX_Script-Regular-APUWIHLP.woff2") format("woff2"),url("./media/KaTeX_Script-Regular-A5IFOEBS.woff") format("woff"),url("./media/KaTeX_Script-Regular-72OLXYNA.ttf") format("truetype")}@font-face{font-display:block;font-family:KaTeX_Size1;font-style:normal;font-weight:400;src:url("./media/KaTeX_Size1-Regular-5LRUTBFT.woff2") format("woff2"),url("./media/KaTeX_Size1-Regular-4HRHTS65.woff") format("woff"),url("./media/KaTeX_Size1-Regular-7K6AASVL.ttf") format("truetype")}@font-face{font-display:block;font-family:KaTeX_Size2;font-style:normal;font-weight:400;src:url("./media/KaTeX_Size2-Regular-LELKET5D.woff2") format("woff2"),url("./media/KaTeX_Size2-Regular-K5ZHAIS6.woff") format("woff"),url("./media/KaTeX_Size2-Regular-222HN3GT.ttf") format("truetype")}@font-face{font-display:block;font-family:KaTeX_Size3;font-style:normal;font-weight:400;src:url("./media/KaTeX_Size3-Regular-WQRQ47UD.woff2") format("woff2"),url("./media/KaTeX_Size3-Regular-TLFPAHDE.woff") format("woff"),url("./media/KaTeX_Size3-Regular-UFCO6WCA.ttf") format("truetype")}@font-face{font-display:block;font-family:KaTeX_Size4;font-style:normal;font-weight:400;src:url("./media/KaTeX_Size4-Regular-CDMV7U5C.woff2") format("woff2"),url("./media/KaTeX_Size4-Regular-PKMWZHNC.woff") format("woff"),url("./media/KaTeX_Size4-Regular-7PGNVPQK.ttf") format("truetype")}@font-face{font-display:block;font-family:KaTeX_Typewriter;font-style:normal;font-weight:400;src:url("./media/KaTeX_Typewriter-Regular-VBYJ4NRC.woff2") format("woff2"),url("./media/KaTeX_Typewriter-Regular-MJMFSK64.woff") format("woff"),url("./media/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:"0.17.0"}.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}
