.presentation-mode{background:#f0f0f0;min-height:100vh;padding:2rem}.presentation-message{padding:1.5rem;margin:1rem 0;border-radius:.5rem;box-shadow:0 2px 4px rgba(0,0,0,.1)}.presentation-user{background:#e3f2fd}.presentation-assistant{background:white}.mermaid .error,.mermaid-error,.mermaid-parse-error,[class*=mermaid] .error,[class*=parse-error],[class*=syntax-error],[data-error*=mermaid],[data-error*=parse],[id*=error],[id*=mermaid] .error,div[style*="color: red"],div[style*="color: rgb(255, 0, 0)"],div[style*="color:#ff0000"],div[style*="color:red"]{display:none!important;visibility:hidden!important;opacity:0!important;height:0!important;width:0!important;margin:0!important;padding:0!important;overflow:hidden!important;position:absolute!important;left:-9999px!important;top:-9999px!important;z-index:-9999!important}.error img,.error svg,[alt*=error] img,[alt*=error] svg,[class*=error] img,[class*=error] svg,[title*=error] img,[title*=error] svg{display:none!important;visibility:hidden!important}[style*="color: red"] *,[style*="color:#ff0000"] *,[style*="color:red"] *{display:none!important}.markdown-content{line-height:1.6}.markdown-content p{margin:8px 0}.markdown-content h1{margin:16px 0;font-size:24px}.markdown-content h2{margin:14px 0;font-size:20px}.markdown-content h3{margin:12px 0;font-size:18px}.markdown-content ol,.markdown-content ul{margin:8px 0;padding-left:20px}.markdown-content li{margin:4px 0}.markdown-content code{background-color:#f0f0f0;padding:2px 4px;border-radius:4px;font-family:monospace}.markdown-content pre{background-color:#f0f0f0;padding:12px;border-radius:4px;overflow-x:auto}.markdown-content pre code{padding:0;background-color:transparent}.markdown-content blockquote{border-left:4px solid #ddd;padding-left:16px;margin:16px 0}.markdown-content a{color:#0366d6;text-decoration:none}.markdown-content a:hover{text-decoration:underline}.markdown-content table{border-collapse:collapse;width:100%;margin:16px 0}.markdown-content td,.markdown-content th{border:1px solid #ddd;padding:8px;text-align:left}.markdown-content{text-align:left;line-height:1.5}.markdown-content strong{color:#2c5282;font-weight:600}.markdown-content ul{list-style-type:none;padding-left:20px;margin:8px 0}.markdown-content li{position:relative;padding:4px 0}.markdown-content li:before{content:"•";position:absolute;left:-15px;color:#4a5568}.button-base{padding:10px 20px;background-color:#ffffff;color:#000000;border:1px solid #e5e7eb;border-radius:8px;cursor:pointer;box-shadow:0 1px 2px rgba(0,0,0,.05);font-weight:500;display:flex;align-items:center;gap:5px}.button-base:hover{background-color:#f9fafb}.button-base:disabled{opacity:.6;cursor:not-allowed;background-color:#f3f4f6}.button-base svg{width:16px;height:16px}.chat-container{display:flex;flex-direction:column;height:100%;width:100%;overflow:hidden;margin:0;padding:0}.chat-messages{flex-grow:1;overflow-y:auto;border:1px solid #ccc;padding:10px;background-color:#f9f9f9;margin-bottom:10px;height:90%}.chat-input-container{display:flex;flex-direction:column;padding:10px;border-top:1px solid #ccc;background-color:white;position:sticky;bottom:0}.chat-input-row{display:flex;align-items:flex-start;gap:10px}.chat-textarea{flex-grow:1;padding:10px;border:1px solid #ccc;border-radius:4px;margin-right:10px;font-size:16px;min-height:40px;resize:vertical;transition:border-color .3s ease}.chat-textarea.listening{border-color:#dc3545}.voice-button{padding:10px;border:none;border-radius:4px;cursor:pointer;display:flex;align-items:center;justify-content:center;min-width:40px;height:40px;transition:all .3s ease;position:relative}.voice-button.active{background-color:#dc3545;animation:pulse 2s infinite}.voice-button.inactive{background-color:#6c757d}@keyframes pulse{0%{box-shadow:0 0 0 0 rgba(220,53,69,.7)}70%{box-shadow:0 0 0 10px rgba(220,53,69,0)}to{box-shadow:0 0 0 0 rgba(220,53,69,0)}}.send-button{padding:10px 20px;background-color:#007BFF;color:white;border:none;border-radius:4px;cursor:pointer;font-size:16px;white-space:nowrap;height:40px;display:flex;align-items:center}.send-button:hover{background-color:#0056b3}.error-message{padding:10px;background-color:#fee2e2;border:1px solid #ef4444;border-radius:4px;margin:10px;color:#dc2626}.react-grid-item{transition-property:left,top}.react-grid-item.cssTransforms{transition-property:transform}.react-grid-item>.react-resizable-handle{background:url("data:image/svg+xml;base64,PHN2ZyB3aWR0aD0iNiIgaGVpZ2h0PSI2IiB2aWV3Qm94PSIwIDAgNiA2IiB4bWxucz0iaHR0cDovL3d3dy53My5vcmcvMjAwMC9zdmciPgogIDxnIGZpbGw9IiM0NDQiIGZpbGwtb3BhY2l0eT0iLjciPgogICAgPHBhdGggZD0ibSA2LDYgTCA2LDQuNSBMIDQuNSw2IFoiLz4KICA8L2c+Cjwvc3ZnPg==");background-position:100% 100%;padding:0 3px 3px 0;background-repeat:no-repeat;background-origin:content-box;box-sizing:border-box}.react-grid-item.react-grid-placeholder{background:rgba(25,118,210,.1);border:2px dashed rgba(25,118,210,.3);border-radius:8px;opacity:.5;-moz-user-select:none}.drag-handle{cursor:move!important;padding:8px;border-radius:4px;background:transparent;transition:opacity .2s ease}.drag-handle:hover{opacity:.8}.dashboard-widget{height:100%;display:flex;flex-direction:column;background:white;border-radius:8px;box-shadow:0 2px 8px rgba(0,0,0,.1);overflow:hidden}.widget-header{display:flex;justify-content:space-between;align-items:center;padding:12px 16px;border-bottom:1px solid #e0e0e0;background:#fafafa}.widget-content{flex:1;overflow:auto;padding:16px}.react-grid-item.react-draggable-dragging{box-shadow:0 8px 32px rgba(0,0,0,.2);transform:rotate(2deg)}.react-grid-item.react-draggable-dragging>*{pointer-events:none}.react-grid-layout.react-draggable-dragging{user-select:none;-webkit-user-select:none;-moz-user-select:none;-ms-user-select:none}@media (max-width:768px){.drag-handle,.react-grid-item>.react-resizable-handle{display:none}}.grid-item{transition:all .2s ease;transition-property:left,top}.react-grid-layout.hydrating{visibility:hidden}.react-grid-layout.hydrated{visibility:visible}.MuiSvgIcon-root{display:inline-block;fill:currentColor;flex-shrink:0;transition:fill .2s cubic-bezier(.4,0,.2,1) 0s;-webkit-user-select:none;-moz-user-select:none;user-select:none;width:1em;height:1em;font-size:1.5rem}[data-mui-component] svg{transition:none!important}.MuiFab-root{min-height:56px;box-shadow:0 3px 5px -1px rgba(0,0,0,.2),0 6px 10px 0 rgba(0,0,0,.14),0 1px 18px 0 rgba(0,0,0,.12)}.MuiFab-sizeSmall{width:40px;height:40px;min-height:40px}.react-grid-item{background:#fff;border:1px solid #ddd;border-radius:8px;box-shadow:0 2px 4px rgba(0,0,0,.1)}.react-grid-item .widget-header{cursor:grab;background:#f5f5f5;border-bottom:1px solid #eee;padding:8px 16px;display:flex;align-items:center;justify-content:space-between}.react-grid-item .widget-header:active{cursor:grabbing}.react-grid-item>.react-resizable-handle{bottom:0;right:0;background:url("data:image/svg+xml;base64,PHN2ZyB3aWR0aD0iNiIgaGVpZ2h0PSI2IiB2aWV3Qm94PSIwIDAgNiA2IiBmaWxsPSJub25lIiB4bWxucz0iaHR0cDovL3d3dy53My5vcmcvMjAwMC9zdmciPgo8ZG90cyBmaWxsPSIjOTk5IiBkPSJtMTUgMTJhMyAzIDAgMSAwIDYgMGEzIDMgMCAxIDAtNiAwem0wIDZhMyAzIDAgMSAwIDYgMGEzIDMgMCAxIDAtNiAweiIvPgo8L3N2Zz4K") no-repeat;background-position:bottom 3px right 3px;cursor:se-resize}.react-grid-layout{background:#fafafa;min-height:100vh;padding:16px}.react-grid-placeholder{background:#f0f0f0;border:2px dashed #ccc;border-radius:8px;opacity:.6;transition:all .2s ease;z-index:2;-webkit-user-select:none;-moz-user-select:none;user-select:none}.react-grid-item{overflow:hidden}.react-grid-item>div{height:100%!important;overflow:hidden}.compact-scroll::-webkit-scrollbar{height:4px;width:4px}.compact-scroll::-webkit-scrollbar-track{background:rgba(0,0,0,.1);border-radius:2px}.compact-scroll::-webkit-scrollbar-thumb{background:rgba(0,0,0,.3);border-radius:2px}.compact-scroll::-webkit-scrollbar-thumb:hover{background:rgba(0,0,0,.5)}.react-grid-layout{min-height:0!important}.react-resizable-handle{opacity:.7}.react-resizable-handle:hover{opacity:1}.MuiCard-root.compact-card{transition:all .2s ease}.MuiCard-root.compact-card:hover{transform:translateY(-1px);box-shadow:0 2px 8px rgba(0,0,0,.15)}.compact-text{font-size:.75rem!important;line-height:1.2!important}.compact-text.MuiTypography-h6{font-size:.9rem!important}.compact-text.MuiTypography-subtitle2{font-size:.8rem!important}.compact-text.MuiTypography-body2{font-size:.7rem!important}.MuiButton-root.compact-button{font-size:.7rem!important;padding:2px 8px!important;min-height:24px!important}.MuiChip-root.compact-chip{font-size:.65rem!important;height:18px!important}.MuiChip-root.compact-chip .MuiChip-icon{font-size:.75rem!important}.text-ellipsis{overflow:hidden;text-overflow:ellipsis;white-space:nowrap}.text-ellipsis-2{-webkit-line-clamp:2;line-clamp:2}.text-ellipsis-1,.text-ellipsis-2{overflow:hidden;text-overflow:ellipsis;display:-webkit-box;-webkit-box-orient:vertical}.text-ellipsis-1{-webkit-line-clamp:1;line-clamp:1}.react-grid-layout{position:relative;transition:height .2s ease}.react-grid-item{transition:all .2s ease;transition-property:left,top,width,height}.react-grid-item img{pointer-events:none;-webkit-user-select:none;user-select:none}.react-grid-item.cssTransforms{transition-property:transform,width,height}.react-grid-item.resizing{transition:none;z-index:1;will-change:width,height}.react-grid-item.react-draggable-dragging{transition:none;z-index:3;will-change:transform}.react-grid-item.dropping{visibility:hidden}.react-grid-item.react-grid-placeholder{background:red;opacity:.2;transition-duration:.1s;z-index:2;-webkit-user-select:none;-o-user-select:none;user-select:none}.react-grid-item.react-grid-placeholder.placeholder-resizing{transition:none}.react-grid-item>.react-resizable-handle{position:absolute;width:20px;height:20px}.react-grid-item>.react-resizable-handle:after{content:"";position:absolute;right:3px;bottom:3px;width:5px;height:5px;border-right:2px solid rgba(0,0,0,.4);border-bottom:2px solid rgba(0,0,0,.4)}.react-resizable-hide>.react-resizable-handle{display:none}.react-grid-item>.react-resizable-handle.react-resizable-handle-sw{bottom:0;left:0;cursor:sw-resize;transform:rotate(90deg)}.react-grid-item>.react-resizable-handle.react-resizable-handle-se{bottom:0;right:0;cursor:se-resize}.react-grid-item>.react-resizable-handle.react-resizable-handle-nw{top:0;left:0;cursor:nw-resize;transform:rotate(180deg)}.react-grid-item>.react-resizable-handle.react-resizable-handle-ne{top:0;right:0;cursor:ne-resize;transform:rotate(270deg)}.react-grid-item>.react-resizable-handle.react-resizable-handle-e,.react-grid-item>.react-resizable-handle.react-resizable-handle-w{top:50%;margin-top:-10px;cursor:ew-resize}.react-grid-item>.react-resizable-handle.react-resizable-handle-w{left:0;transform:rotate(135deg)}.react-grid-item>.react-resizable-handle.react-resizable-handle-e{right:0;transform:rotate(315deg)}.react-grid-item>.react-resizable-handle.react-resizable-handle-n,.react-grid-item>.react-resizable-handle.react-resizable-handle-s{left:50%;margin-left:-10px;cursor:ns-resize}.react-grid-item>.react-resizable-handle.react-resizable-handle-n{top:0;transform:rotate(225deg)}.react-grid-item>.react-resizable-handle.react-resizable-handle-s{bottom:0;transform:rotate(45deg)}.react-resizable{position:relative}.react-resizable-handle{position:absolute;width:20px;height:20px;background-repeat:no-repeat;background-origin:content-box;box-sizing:border-box;background-image:url("data:image/svg+xml;base64,PHN2ZyB4bWxucz0iaHR0cDovL3d3dy53My5vcmcvMjAwMC9zdmciIHZpZXdCb3g9IjAgMCA2IDYiIHN0eWxlPSJiYWNrZ3JvdW5kLWNvbG9yOiNmZmZmZmYwMCIgeD0iMHB4IiB5PSIwcHgiIHdpZHRoPSI2cHgiIGhlaWdodD0iNnB4Ij48ZyBvcGFjaXR5PSIwLjMwMiI+PHBhdGggZD0iTSA2IDYgTCAwIDYgTCAwIDQuMiBMIDQgNC4yIEwgNC4yIDQuMiBMIDQuMiAwIEwgNiAwIEwgNiA2IEwgNiA2IFoiIGZpbGw9IiMwMDAwMDAiLz48L2c+PC9zdmc+");background-position:100% 100%;padding:0 3px 3px 0}.react-resizable-handle-sw{bottom:0;left:0;cursor:sw-resize;transform:rotate(90deg)}.react-resizable-handle-se{bottom:0;right:0;cursor:se-resize}.react-resizable-handle-nw{top:0;left:0;cursor:nw-resize;transform:rotate(180deg)}.react-resizable-handle-ne{top:0;right:0;cursor:ne-resize;transform:rotate(270deg)}.react-resizable-handle-e,.react-resizable-handle-w{top:50%;margin-top:-10px;cursor:ew-resize}.react-resizable-handle-w{left:0;transform:rotate(135deg)}.react-resizable-handle-e{right:0;transform:rotate(315deg)}.react-resizable-handle-n,.react-resizable-handle-s{left:50%;margin-left:-10px;cursor:ns-resize}.react-resizable-handle-n{top:0;transform:rotate(225deg)}.react-resizable-handle-s{bottom:0;transform:rotate(45deg)}@font-face{font-family:KaTeX_AMS;font-style:normal;font-weight:400;src:url(/_next/static/media/KaTeX_AMS-Regular.a79f1c31.woff2) format("woff2"),url(/_next/static/media/KaTeX_AMS-Regular.1608a09b.woff) format("woff"),url(/_next/static/media/KaTeX_AMS-Regular.4aafdb68.ttf) format("truetype")}@font-face{font-family:KaTeX_Caligraphic;font-style:normal;font-weight:700;src:url(/_next/static/media/KaTeX_Caligraphic-Bold.ec17d132.woff2) format("woff2"),url(/_next/static/media/KaTeX_Caligraphic-Bold.b6770918.woff) format("woff"),url(/_next/static/media/KaTeX_Caligraphic-Bold.cce5b8ec.ttf) format("truetype")}@font-face{font-family:KaTeX_Caligraphic;font-style:normal;font-weight:400;src:url(/_next/static/media/KaTeX_Caligraphic-Regular.55fac258.woff2) format("woff2"),url(/_next/static/media/KaTeX_Caligraphic-Regular.dad44a7f.woff) format("woff"),url(/_next/static/media/KaTeX_Caligraphic-Regular.07ef19e7.ttf) format("truetype")}@font-face{font-family:KaTeX_Fraktur;font-style:normal;font-weight:700;src:url(/_next/static/media/KaTeX_Fraktur-Bold.d42a5579.woff2) format("woff2"),url(/_next/static/media/KaTeX_Fraktur-Bold.9f256b85.woff) format("woff"),url(/_next/static/media/KaTeX_Fraktur-Bold.b18f59e1.ttf) format("truetype")}@font-face{font-family:KaTeX_Fraktur;font-style:normal;font-weight:400;src:url(/_next/static/media/KaTeX_Fraktur-Regular.d3c882a6.woff2) format("woff2"),url(/_next/static/media/KaTeX_Fraktur-Regular.7c187121.woff) format("woff"),url(/_next/static/media/KaTeX_Fraktur-Regular.ed38e79f.ttf) format("truetype")}@font-face{font-family:KaTeX_Main;font-style:normal;font-weight:700;src:url(/_next/static/media/KaTeX_Main-Bold.c3fb5ac2.woff2) format("woff2"),url(/_next/static/media/KaTeX_Main-Bold.d181c465.woff) format("woff"),url(/_next/static/media/KaTeX_Main-Bold.b74a1a8b.ttf) format("truetype")}@font-face{font-family:KaTeX_Main;font-style:italic;font-weight:700;src:url(/_next/static/media/KaTeX_Main-BoldItalic.6f2bb1df.woff2) format("woff2"),url(/_next/static/media/KaTeX_Main-BoldItalic.e3f82f9d.woff) format("woff"),url(/_next/static/media/KaTeX_Main-BoldItalic.70d8b0a5.ttf) format("truetype")}@font-face{font-family:KaTeX_Main;font-style:italic;font-weight:400;src:url(/_next/static/media/KaTeX_Main-Italic.8916142b.woff2) format("woff2"),url(/_next/static/media/KaTeX_Main-Italic.9024d815.woff) format("woff"),url(/_next/static/media/KaTeX_Main-Italic.47373d1e.ttf) format("truetype")}@font-face{font-family:KaTeX_Main;font-style:normal;font-weight:400;src:url(/_next/static/media/KaTeX_Main-Regular.0462f03b.woff2) format("woff2"),url(/_next/static/media/KaTeX_Main-Regular.7f51fe03.woff) format("woff"),url(/_next/static/media/KaTeX_Main-Regular.b7f8fe9b.ttf) format("truetype")}@font-face{font-family:KaTeX_Math;font-style:italic;font-weight:700;src:url(/_next/static/media/KaTeX_Math-BoldItalic.572d331f.woff2) format("woff2"),url(/_next/static/media/KaTeX_Math-BoldItalic.f1035d8d.woff) format("woff"),url(/_next/static/media/KaTeX_Math-BoldItalic.a879cf83.ttf) format("truetype")}@font-face{font-family:KaTeX_Math;font-style:italic;font-weight:400;src:url(/_next/static/media/KaTeX_Math-Italic.f28c23ac.woff2) format("woff2"),url(/_next/static/media/KaTeX_Math-Italic.5295ba48.woff) format("woff"),url(/_next/static/media/KaTeX_Math-Italic.939bc644.ttf) format("truetype")}@font-face{font-family:"KaTeX_SansSerif";font-style:normal;font-weight:700;src:url(/_next/static/media/KaTeX_SansSerif-Bold.8c5b5494.woff2) format("woff2"),url(/_next/static/media/KaTeX_SansSerif-Bold.bf59d231.woff) format("woff"),url(/_next/static/media/KaTeX_SansSerif-Bold.94e1e8dc.ttf) format("truetype")}@font-face{font-family:"KaTeX_SansSerif";font-style:italic;font-weight:400;src:url(/_next/static/media/KaTeX_SansSerif-Italic.3b1e59b3.woff2) format("woff2"),url(/_next/static/media/KaTeX_SansSerif-Italic.7c9bc82b.woff) format("woff"),url(/_next/static/media/KaTeX_SansSerif-Italic.b4c20c84.ttf) format("truetype")}@font-face{font-family:"KaTeX_SansSerif";font-style:normal;font-weight:400;src:url(/_next/static/media/KaTeX_SansSerif-Regular.ba21ed5f.woff2) format("woff2"),url(/_next/static/media/KaTeX_SansSerif-Regular.74048478.woff) format("woff"),url(/_next/static/media/KaTeX_SansSerif-Regular.d4d7ba48.ttf) format("truetype")}@font-face{font-family:KaTeX_Script;font-style:normal;font-weight:400;src:url(/_next/static/media/KaTeX_Script-Regular.03e9641d.woff2) format("woff2"),url(/_next/static/media/KaTeX_Script-Regular.07505710.woff) format("woff"),url(/_next/static/media/KaTeX_Script-Regular.fe9cbbe1.ttf) format("truetype")}@font-face{font-family:KaTeX_Size1;font-style:normal;font-weight:400;src:url(/_next/static/media/KaTeX_Size1-Regular.eae34984.woff2) format("woff2"),url(/_next/static/media/KaTeX_Size1-Regular.e1e279cb.woff) format("woff"),url(/_next/static/media/KaTeX_Size1-Regular.fabc004a.ttf) format("truetype")}@font-face{font-family:KaTeX_Size2;font-style:normal;font-weight:400;src:url(/_next/static/media/KaTeX_Size2-Regular.5916a24f.woff2) format("woff2"),url(/_next/static/media/KaTeX_Size2-Regular.57727022.woff) format("woff"),url(/_next/static/media/KaTeX_Size2-Regular.d6b476ec.ttf) format("truetype")}@font-face{font-family:KaTeX_Size3;font-style:normal;font-weight:400;src:url(/_next/static/media/KaTeX_Size3-Regular.b4230e7e.woff2) format("woff2"),url(/_next/static/media/KaTeX_Size3-Regular.9acaf01c.woff) format("woff"),url(/_next/static/media/KaTeX_Size3-Regular.a144ef58.ttf) format("truetype")}@font-face{font-family:KaTeX_Size4;font-style:normal;font-weight:400;src:url(/_next/static/media/KaTeX_Size4-Regular.10d95fd3.woff2) format("woff2"),url(/_next/static/media/KaTeX_Size4-Regular.7a996c9d.woff) format("woff"),url(/_next/static/media/KaTeX_Size4-Regular.fbccdabe.ttf) format("truetype")}@font-face{font-family:KaTeX_Typewriter;font-style:normal;font-weight:400;src:url(/_next/static/media/KaTeX_Typewriter-Regular.a8709e36.woff2) format("woff2"),url(/_next/static/media/KaTeX_Typewriter-Regular.6258592b.woff) format("woff"),url(/_next/static/media/KaTeX_Typewriter-Regular.d97aaf4a.ttf) format("truetype")}.katex{font:normal 1.21em KaTeX_Main,Times New Roman,serif;line-height:1.2;text-indent:0;text-rendering:auto}.katex *{-ms-high-contrast-adjust:none!important;border-color:currentColor}.katex .katex-version:after{content:"0.16.22"}.katex .katex-mathml{clip:rect(1px,1px,1px,1px);border:0;height:1px;overflow:hidden;padding:0;position:absolute;width:1px}.katex .katex-html>.newline{display:block}.katex .base{position:relative;white-space:nowrap;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 .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;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;display:block;height:inherit;position:absolute;width:100%}.katex svg path{stroke:none}.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}