.session-room{grid-template-rows:1fr;grid-template-columns:380px 1fr;height:calc(100vh - 56px);min-height:0;display:grid}.session-conv{border-right:1px solid var(--border);background:var(--bg-pad);grid-template-rows:1fr auto;min-height:0;display:grid}.session-conv .transcript{scroll-behavior:smooth;flex-direction:column;gap:0;padding:12px 16px 16px;display:flex;overflow-y:auto}.transcript.empty{text-align:center;color:var(--text-3);place-items:center;padding:32px 24px;font-size:13px;display:grid}.msg{padding:10px 0}.msg .row{align-items:flex-start;gap:10px;display:flex}.msg .avatar{border-radius:6px;flex-shrink:0;place-items:center;width:22px;height:22px;margin-top:2px;font-size:9px;font-weight:700;display:grid}.msg .avatar.tutor{background:var(--text);color:var(--bg)}.msg .avatar.you{background:var(--border);color:var(--text)}.msg .body{color:var(--text);flex:1;font-size:13.5px;line-height:1.55}.msg .body .who{color:var(--text-3);margin-bottom:3px;font-size:10.5px}.msg .body .interim{color:var(--text-3);font-style:italic}.msg .body .caret{background:var(--text);vertical-align:-1px;width:6px;height:12px;margin-left:2px;animation:1s steps(2,end) infinite msg-caret-blink;display:inline-block}@keyframes msg-caret-blink{to{opacity:0}}.voice-composer{border-top:1px solid var(--border);background:var(--bg);padding:12px 14px 14px}.voice-composer .wrap{border:1px solid var(--border-strong);box-shadow:var(--shadow-soft);border-radius:24px;align-items:center;gap:8px;padding:5px 5px 5px 14px;display:flex}.voice-composer .state{color:var(--text-2);flex:1;align-items:center;gap:8px;min-width:0;font-size:12.5px;display:flex}.voice-composer .bars{flex-shrink:0;align-items:end;gap:2px;height:12px;display:flex}.voice-composer .bars span{background:var(--accent-live);border-radius:1px;width:2px;height:30%;animation:1s ease-in-out infinite composer-bar}.voice-composer .bars span:nth-child(2){animation-delay:.1s}.voice-composer .bars span:nth-child(3){animation-delay:.2s}.voice-composer .bars span:nth-child(4){animation-delay:.3s}.voice-composer .bars span:nth-child(5){animation-delay:.4s}@keyframes composer-bar{0%,to{height:30%}50%{height:100%}}.voice-composer.muted .bars span,.voice-composer.connecting .bars span,.voice-composer.disconnected .bars span{background:var(--text-3);height:30%;animation:none}.voice-composer .icon-btn{border-radius:var(--radius-pill);border:1px solid var(--border-strong);background:var(--bg);width:30px;height:30px;color:var(--text-2);flex-shrink:0;place-items:center;font-size:13px;display:grid}.voice-composer .icon-btn:hover{color:var(--text);border-color:var(--text-3)}.voice-composer .icon-btn.primary{background:var(--text);color:var(--bg);border-color:var(--text)}.voice-composer .icon-btn:disabled{opacity:.4;cursor:not-allowed}.session-error{color:var(--accent-danger);border-radius:var(--radius);background:#d939400f;border:1px solid #d9394040;justify-content:space-between;align-items:center;gap:12px;margin:8px 14px 0;padding:10px 14px;font-size:12.5px;display:flex}.session-error .retry{color:var(--accent-danger);background:0 0;border:none;font-size:12.5px;font-weight:600;text-decoration:underline}.session-boards{grid-template-rows:1fr 1fr;min-height:0;display:grid}.board{grid-template-rows:auto 1fr;min-height:0;display:grid}.board.tutor-board{border-bottom:1px solid var(--border)}.board .head{border-bottom:1px solid var(--border);background:var(--bg-pad);align-items:center;gap:10px;padding:10px 18px;display:flex}.board .head .label{color:var(--text-2);text-transform:uppercase;letter-spacing:.08em;font-size:11px;font-weight:600}.board .head .spacer{flex:1}.board .head .count{color:var(--text-3);font-variant-numeric:tabular-nums;font-size:11px}.board .head .tools{gap:4px;display:flex}.board .head .tools button{border:1px solid var(--border);color:var(--text-2);background:0 0;border-radius:6px;padding:4px 10px;font-size:11px}.board .head .tools button:hover:not(:disabled){color:var(--text);border-color:var(--border-strong)}.board .head .tools button.active{background:var(--text);color:var(--bg);border-color:var(--text)}.board .head .tools button:disabled{opacity:.4;cursor:not-allowed}.board .surface{min-height:0;overflow-y:auto}.tutor-board .surface{background:var(--bg);flex-direction:column;gap:14px;padding:22px 28px;display:flex}.tutor-board .empty{text-align:center;color:var(--text-3);margin:auto;font-size:13px;line-height:1.55}.ai-card{background:var(--bg-pad);border:1px solid var(--border);border-radius:var(--radius);max-width:720px;color:var(--text);padding:14px 18px;font-size:14.5px;line-height:1.6;animation:.2s ease-out ai-card-in}.ai-card.board-item-plot,.ai-card.board-item-shape{justify-content:center;display:flex}.ai-card svg{color:var(--text)}@keyframes ai-card-in{0%{opacity:0;transform:translateY(4px)}to{opacity:1;transform:none}}.user-board .surface{background:var(--bg-pad);background-image:radial-gradient(circle,#e0e0e6 1px,#0000 1px);background-size:16px 16px;padding:0;position:relative}.user-board-canvas{touch-action:none;width:100%;height:100%;position:absolute;inset:0}.session-loading{background:var(--bg);flex-direction:column;justify-content:center;align-items:center;gap:12px;height:calc(100vh - 56px);padding:0 24px;display:flex}.session-loading .connecting-msg{color:var(--text-3);margin:0;font-size:14px}.session-loading .session-error{width:100%;max-width:480px;margin:0}@media (width<=900px){.session-room{grid-template-rows:40vh 40vh 1fr auto;grid-template-columns:1fr;height:calc(100vh - 56px)}.session-boards{display:contents}.board.tutor-board{border-right:none;border-bottom:1px solid var(--border);grid-row:1}.board.user-board{border-bottom:1px solid var(--border);grid-row:2}.session-conv{border-right:none;grid-area:3/1/span 2;grid-template-rows:1fr auto;display:grid}}.pdf-popover{z-index:50;background:var(--bg);border:1px solid var(--border-strong);border-radius:var(--radius);box-shadow:var(--shadow-soft), 0 16px 48px #0000002e;grid-template-rows:auto 1fr;display:grid;position:fixed;overflow:hidden}.pdf-popover-head{background:var(--bg-pad);border-bottom:1px solid var(--border);cursor:grab;-webkit-user-select:none;user-select:none;touch-action:none;align-items:center;gap:8px;padding:8px 12px;display:flex}.pdf-popover-head:active{cursor:grabbing}.pdf-popover-title{color:var(--text-2);text-overflow:ellipsis;white-space:nowrap;flex:1;font-size:12px;overflow:hidden}.pdf-popover-close{border:1px solid var(--border);color:var(--text-2);cursor:pointer;background:0 0;border-radius:6px;padding:2px 8px;font-size:14px}.pdf-popover-close:hover{color:var(--text);border-color:var(--border-strong)}.pdf-popover-frame{background:var(--bg-pad);border:0;width:100%;height:100%}.pdf-popover-resize{cursor:nwse-resize;touch-action:none;background:linear-gradient(135deg, transparent 50%, var(--border-strong) 50%);width:16px;height:16px;position:absolute;bottom:0;right:0}.topbar-pdf-toggle{border:1px solid var(--border);letter-spacing:.04em;color:var(--text-2);cursor:pointer;background:0 0;border-radius:6px;padding:4px 10px;font-size:11px;font-weight:600}.topbar-pdf-toggle:hover{color:var(--text);border-color:var(--border-strong)}.topbar-pdf-toggle.active{background:var(--text);color:var(--bg);border-color:var(--text)}@media (width<=900px){.pdf-popover{border-radius:0;width:100vw!important;height:calc(100vh - 56px)!important;top:56px!important;left:0!important}.pdf-popover-head{cursor:default}.pdf-popover-resize{display:none}}:root{--bg:#fff;--bg-soft:#f7f7f8;--bg-pad:#fafafa;--border:#ececf1;--border-strong:#d9d9e3;--text:#0d0d0d;--text-2:#5d5d6e;--text-3:#8e8ea0;--accent-live:#19c37d;--accent-danger:#d93940;--radius:12px;--radius-lg:16px;--radius-pill:999px;--shadow-soft:0 2px 8px #0000000a;--shadow-lifted:0 8px 24px #00000014;--font-sans:"Inter", -apple-system, BlinkMacSystemFont, "Segoe UI", sans-serif;--font-serif:"Iowan Old Style", "Cambria Math", Georgia, serif}*{box-sizing:border-box}html,body,#root{background:var(--bg);height:100%;color:var(--text);font-family:var(--font-sans);-webkit-font-smoothing:antialiased;-moz-osx-font-smoothing:grayscale;margin:0;padding:0;font-size:14px;line-height:1.5}a{color:inherit;text-decoration:none}button{cursor:pointer;font-family:inherit}.app-shell{flex-direction:column;min-height:100vh;display:flex}.topbar{border-bottom:1px solid var(--border);background:var(--bg);align-items:center;gap:14px;height:56px;padding:0 20px;display:flex}.topbar .brand{letter-spacing:-.01em;color:var(--text);font-size:15px;font-weight:700}.topbar .spacer{flex:1}.topbar .pill{color:var(--text-2);border-radius:var(--radius-pill);background:var(--bg-soft);border:1px solid var(--border);align-items:center;gap:6px;padding:3px 10px;font-size:11px;display:inline-flex}.topbar .pill .dot{border-radius:var(--radius-pill);background:var(--accent-live);width:6px;height:6px}.topbar .pill.danger .dot{background:var(--accent-danger)}.topbar .btn{border:1px solid var(--border);color:var(--text-2);background:0 0;border-radius:8px;padding:6px 12px;font-size:12px}.topbar .btn:hover{color:var(--text);border-color:var(--border-strong)}.topbar .btn.primary{background:var(--text);color:var(--bg);border-color:var(--text)}.topbar .btn.primary:hover{background:#2a2a2a}main{flex:1;justify-content:center;display:flex}.library-page{flex-direction:column;gap:28px;width:100%;max-width:720px;padding:48px 24px 80px;display:flex}.library-page .page-header h1{letter-spacing:-.02em;margin:0 0 6px;font-size:26px;font-weight:600}.library-page .page-header p{color:var(--text-2);margin:0;font-size:14px}.dropzone{border:1.5px dashed var(--border-strong);border-radius:var(--radius-lg);background:var(--bg-soft);text-align:center;cursor:pointer;padding:56px 24px;transition:border-color .15s,background .15s}.dropzone:hover{border-color:var(--text-3);background:var(--bg-pad)}.dropzone.dragging{border-color:var(--text);background:var(--bg-pad)}.dropzone.disabled{opacity:.6;cursor:progress}.dropzone-inner{flex-direction:column;align-items:center;gap:10px;display:flex}.dropzone-arrow{background:var(--bg);border:1px solid var(--border);width:36px;height:36px;color:var(--text-2);border-radius:50%;place-items:center;font-size:16px;display:grid}.dropzone-title{color:var(--text);margin:0;font-size:14px;font-weight:500}.dropzone-hint{color:var(--text-3);margin:0;font-size:12px}.doc-list h2{text-transform:uppercase;letter-spacing:.08em;color:var(--text-3);margin:0 0 10px;font-size:12px;font-weight:600}.doc-list ul{border-top:1px solid var(--border);margin:0;padding:0;list-style:none}.doc-list li{border-bottom:1px solid var(--border);justify-content:space-between;padding:14px 0;font-size:14px;display:flex}.doc-name{color:var(--text)}.doc-meta{color:var(--text-3);font-variant-numeric:tabular-nums}.empty{color:var(--text-3);padding:24px 0;font-size:13px}.error{color:var(--accent-danger);border-radius:var(--radius);background:#d939400f;border:1px solid #d9394040;padding:10px 14px;font-size:13px}.library-page .upload-jobs{margin-top:16px}.library-page .upload-jobs ul{flex-direction:column;gap:8px;margin:8px 0 0;padding:0;list-style:none;display:flex}.progress-row{border:1px solid var(--border);border-radius:var(--radius);background:var(--bg);padding:10px 14px}.progress-row.error{border-color:#d9394066}.progress-row-head{justify-content:space-between;align-items:baseline;gap:12px;margin-bottom:8px;display:flex}.progress-row-name{color:var(--text);text-overflow:ellipsis;white-space:nowrap;font-size:13.5px;overflow:hidden}.progress-row-stage{color:var(--text-3);text-transform:uppercase;letter-spacing:.08em;flex-shrink:0;font-size:11px}.progress-row-error{color:var(--accent-danger);justify-content:space-between;align-items:center;gap:12px;font-size:12.5px;display:flex}.progress-row-error .retry{color:var(--accent-danger);background:0 0;border:none;font-size:12.5px;font-weight:600;text-decoration:underline}.progress-bar{background:var(--border);border-radius:2px;height:4px;position:relative;overflow:hidden}.progress-bar-fill{background:linear-gradient(90deg, transparent, var(--text) 50%, transparent);opacity:.5;background-size:200% 100%;animation:1.4s linear infinite progress-shimmer;position:absolute;inset:0}@keyframes progress-shimmer{0%{background-position:200% 0}to{background-position:-200% 0}}.doc-list-section{margin-top:24px}.doc-list{flex-direction:column;gap:6px;margin:8px 0 0;padding:0;list-style:none;display:flex}.doc-row{border:1px solid var(--border);background:var(--bg);border-radius:8px;grid-template-columns:minmax(0,1fr) 80px 80px 90px;align-items:center;gap:12px;padding:8px 12px;display:grid}.doc-row.unindexed{opacity:.7}.doc-pick{cursor:pointer;align-items:center;gap:8px;min-width:0;display:flex}.doc-pick .doc-name{color:var(--text);text-overflow:ellipsis;white-space:nowrap;font-size:13.5px;overflow:hidden}.doc-meta,.doc-status{color:var(--text-3);font-variant-numeric:tabular-nums;text-align:right;font-size:11px}.doc-action{justify-content:flex-end;display:flex}.doc-status.uploaded{color:var(--text-3)}.doc-status.indexed{color:var(--text-2)}.doc-status.failed{color:var(--accent-danger)}.doc-row .reindex{border:1px solid var(--border-strong);background:var(--bg);color:var(--text-2);border-radius:6px;padding:4px 10px;font-size:11.5px}.doc-row .reindex:disabled{opacity:.5;cursor:not-allowed}@font-face{font-display:block;font-family:KaTeX_AMS;font-style:normal;font-weight:400;src:url(/assets/KaTeX_AMS-Regular-BQhdFMY1.woff2)format("woff2"),url(/assets/KaTeX_AMS-Regular-DMm9YOAa.woff)format("woff"),url(/assets/KaTeX_AMS-Regular-DRggAlZN.ttf)format("truetype")}@font-face{font-display:block;font-family:KaTeX_Caligraphic;font-style:normal;font-weight:700;src:url(/assets/KaTeX_Caligraphic-Bold-Dq_IR9rO.woff2)format("woff2"),url(/assets/KaTeX_Caligraphic-Bold-BEiXGLvX.woff)format("woff"),url(/assets/KaTeX_Caligraphic-Bold-ATXxdsX0.ttf)format("truetype")}@font-face{font-display:block;font-family:KaTeX_Caligraphic;font-style:normal;font-weight:400;src:url(/assets/KaTeX_Caligraphic-Regular-Di6jR-x-.woff2)format("woff2"),url(/assets/KaTeX_Caligraphic-Regular-CTRA-rTL.woff)format("woff"),url(/assets/KaTeX_Caligraphic-Regular-wX97UBjC.ttf)format("truetype")}@font-face{font-display:block;font-family:KaTeX_Fraktur;font-style:normal;font-weight:700;src:url(/assets/KaTeX_Fraktur-Bold-CL6g_b3V.woff2)format("woff2"),url(/assets/KaTeX_Fraktur-Bold-BsDP51OF.woff)format("woff"),url(/assets/KaTeX_Fraktur-Bold-BdnERNNW.ttf)format("truetype")}@font-face{font-display:block;font-family:KaTeX_Fraktur;font-style:normal;font-weight:400;src:url(/assets/KaTeX_Fraktur-Regular-CTYiF6lA.woff2)format("woff2"),url(/assets/KaTeX_Fraktur-Regular-Dxdc4cR9.woff)format("woff"),url(/assets/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(/assets/KaTeX_Main-Bold-Cx986IdX.woff2)format("woff2"),url(/assets/KaTeX_Main-Bold-Jm3AIy58.woff)format("woff"),url(/assets/KaTeX_Main-Bold-waoOVXN0.ttf)format("truetype")}@font-face{font-display:block;font-family:KaTeX_Main;font-style:italic;font-weight:700;src:url(/assets/KaTeX_Main-BoldItalic-DxDJ3AOS.woff2)format("woff2"),url(/assets/KaTeX_Main-BoldItalic-SpSLRI95.woff)format("woff"),url(/assets/KaTeX_Main-BoldItalic-DzxPMmG6.ttf)format("truetype")}@font-face{font-display:block;font-family:KaTeX_Main;font-style:italic;font-weight:400;src:url(/assets/KaTeX_Main-Italic-NWA7e6Wa.woff2)format("woff2"),url(/assets/KaTeX_Main-Italic-BMLOBm91.woff)format("woff"),url(/assets/KaTeX_Main-Italic-3WenGoN9.ttf)format("truetype")}@font-face{font-display:block;font-family:KaTeX_Main;font-style:normal;font-weight:400;src:url(/assets/KaTeX_Main-Regular-B22Nviop.woff2)format("woff2"),url(/assets/KaTeX_Main-Regular-Dr94JaBh.woff)format("woff"),url(/assets/KaTeX_Main-Regular-ypZvNtVU.ttf)format("truetype")}@font-face{font-display:block;font-family:KaTeX_Math;font-style:italic;font-weight:700;src:url(/assets/KaTeX_Math-BoldItalic-CZnvNsCZ.woff2)format("woff2"),url(/assets/KaTeX_Math-BoldItalic-iY-2wyZ7.woff)format("woff"),url(/assets/KaTeX_Math-BoldItalic-B3XSjfu4.ttf)format("truetype")}@font-face{font-display:block;font-family:KaTeX_Math;font-style:italic;font-weight:400;src:url(/assets/KaTeX_Math-Italic-t53AETM-.woff2)format("woff2"),url(/assets/KaTeX_Math-Italic-DA0__PXp.woff)format("woff"),url(/assets/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(/assets/KaTeX_SansSerif-Bold-D1sUS0GD.woff2)format("woff2"),url(/assets/KaTeX_SansSerif-Bold-DbIhKOiC.woff)format("woff"),url(/assets/KaTeX_SansSerif-Bold-CFMepnvq.ttf)format("truetype")}@font-face{font-display:block;font-family:KaTeX_SansSerif;font-style:italic;font-weight:400;src:url(/assets/KaTeX_SansSerif-Italic-C3H0VqGB.woff2)format("woff2"),url(/assets/KaTeX_SansSerif-Italic-DN2j7dab.woff)format("woff"),url(/assets/KaTeX_SansSerif-Italic-YYjJ1zSn.ttf)format("truetype")}@font-face{font-display:block;font-family:KaTeX_SansSerif;font-style:normal;font-weight:400;src:url(/assets/KaTeX_SansSerif-Regular-DDBCnlJ7.woff2)format("woff2"),url(/assets/KaTeX_SansSerif-Regular-CS6fqUqJ.woff)format("woff"),url(/assets/KaTeX_SansSerif-Regular-BNo7hRIc.ttf)format("truetype")}@font-face{font-display:block;font-family:KaTeX_Script;font-style:normal;font-weight:400;src:url(/assets/KaTeX_Script-Regular-D3wIWfF6.woff2)format("woff2"),url(/assets/KaTeX_Script-Regular-D5yQViql.woff)format("woff"),url(/assets/KaTeX_Script-Regular-C5JkGWo-.ttf)format("truetype")}@font-face{font-display:block;font-family:KaTeX_Size1;font-style:normal;font-weight:400;src:url(/assets/KaTeX_Size1-Regular-mCD8mA8B.woff2)format("woff2"),url(/assets/KaTeX_Size1-Regular-C195tn64.woff)format("woff"),url(/assets/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(/assets/KaTeX_Size2-Regular-Dy4dx90m.woff2)format("woff2"),url(/assets/KaTeX_Size2-Regular-oD1tc_U0.woff)format("woff"),url(/assets/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(/assets/KaTeX_Size3-Regular-CTq5MqoE.woff)format("woff"),url(/assets/KaTeX_Size3-Regular-DgpXs0kz.ttf)format("truetype")}@font-face{font-display:block;font-family:KaTeX_Size4;font-style:normal;font-weight:400;src:url(/assets/KaTeX_Size4-Regular-Dl5lxZxV.woff2)format("woff2"),url(/assets/KaTeX_Size4-Regular-BF-4gkZK.woff)format("woff"),url(/assets/KaTeX_Size4-Regular-DWFBv043.ttf)format("truetype")}@font-face{font-display:block;font-family:KaTeX_Typewriter;font-style:normal;font-weight:400;src:url(/assets/KaTeX_Typewriter-Regular-CO6r4hn1.woff2)format("woff2"),url(/assets/KaTeX_Typewriter-Regular-C0xS9mPB.woff)format("woff"),url(/assets/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:"0.16.47"}.katex .katex-mathml{clip-path:inset(50%);border:0;width:1px;height:1px;padding:0;position:absolute;overflow:hidden}.katex .katex-html>.newline{display:block}.katex .base{white-space:nowrap;width:min-content;position:relative}.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;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 .vbox{flex-direction:column;align-items:baseline;display:inline-flex}.katex .hbox{width:100%}.katex .hbox,.katex .thinbox{flex-direction:row;display:inline-flex}.katex .thinbox{width:0;max-width:0}.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 .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{line-height:0;display:inline}.katex .clap,.katex .llap,.katex .rlap{width:0;position:relative}.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;width:100%;display:inline-block}.katex .hdashline{border-bottom-style:dashed;width:100%;display:inline-block}.katex .sqrt>.root{margin-left:.277778em;margin-right:-.555556em}.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:.833333em}.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:1.16667em}.katex .fontsize-ensurer.reset-size2.size4,.katex .sizing.reset-size2.size4{font-size:1.33333em}.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:1.66667em}.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:3.45667em}.katex .fontsize-ensurer.reset-size2.size11,.katex .sizing.reset-size2.size11{font-size:4.14667em}.katex .fontsize-ensurer.reset-size3.size1,.katex .sizing.reset-size3.size1{font-size:.714286em}.katex .fontsize-ensurer.reset-size3.size2,.katex .sizing.reset-size3.size2{font-size:.857143em}.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:1.14286em}.katex .fontsize-ensurer.reset-size3.size5,.katex .sizing.reset-size3.size5{font-size:1.28571em}.katex .fontsize-ensurer.reset-size3.size6,.katex .sizing.reset-size3.size6{font-size:1.42857em}.katex .fontsize-ensurer.reset-size3.size7,.katex .sizing.reset-size3.size7{font-size:1.71429em}.katex .fontsize-ensurer.reset-size3.size8,.katex .sizing.reset-size3.size8{font-size:2.05714em}.katex .fontsize-ensurer.reset-size3.size9,.katex .sizing.reset-size3.size9{font-size:2.46857em}.katex .fontsize-ensurer.reset-size3.size10,.katex .sizing.reset-size3.size10{font-size:2.96286em}.katex .fontsize-ensurer.reset-size3.size11,.katex .sizing.reset-size3.size11{font-size:3.55429em}.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:.555556em}.katex .fontsize-ensurer.reset-size5.size2,.katex .sizing.reset-size5.size2{font-size:.666667em}.katex .fontsize-ensurer.reset-size5.size3,.katex .sizing.reset-size5.size3{font-size:.777778em}.katex .fontsize-ensurer.reset-size5.size4,.katex .sizing.reset-size5.size4{font-size:.888889em}.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:1.11111em}.katex .fontsize-ensurer.reset-size5.size7,.katex .sizing.reset-size5.size7{font-size:1.33333em}.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:2.30444em}.katex .fontsize-ensurer.reset-size5.size11,.katex .sizing.reset-size5.size11{font-size:2.76444em}.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:.416667em}.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:.583333em}.katex .fontsize-ensurer.reset-size7.size4,.katex .sizing.reset-size7.size4{font-size:.666667em}.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:.833333em}.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:1.72833em}.katex .fontsize-ensurer.reset-size7.size11,.katex .sizing.reset-size7.size11{font-size:2.07333em}.katex .fontsize-ensurer.reset-size8.size1,.katex .sizing.reset-size8.size1{font-size:.347222em}.katex .fontsize-ensurer.reset-size8.size2,.katex .sizing.reset-size8.size2{font-size:.416667em}.katex .fontsize-ensurer.reset-size8.size3,.katex .sizing.reset-size8.size3{font-size:.486111em}.katex .fontsize-ensurer.reset-size8.size4,.katex .sizing.reset-size8.size4{font-size:.555556em}.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:.694444em}.katex .fontsize-ensurer.reset-size8.size7,.katex .sizing.reset-size8.size7{font-size:.833333em}.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:1.44028em}.katex .fontsize-ensurer.reset-size8.size11,.katex .sizing.reset-size8.size11{font-size:1.72778em}.katex .fontsize-ensurer.reset-size9.size1,.katex .sizing.reset-size9.size1{font-size:.289352em}.katex .fontsize-ensurer.reset-size9.size2,.katex .sizing.reset-size9.size2{font-size:.347222em}.katex .fontsize-ensurer.reset-size9.size3,.katex .sizing.reset-size9.size3{font-size:.405093em}.katex .fontsize-ensurer.reset-size9.size4,.katex .sizing.reset-size9.size4{font-size:.462963em}.katex .fontsize-ensurer.reset-size9.size5,.katex .sizing.reset-size9.size5{font-size:.520833em}.katex .fontsize-ensurer.reset-size9.size6,.katex .sizing.reset-size9.size6{font-size:.578704em}.katex .fontsize-ensurer.reset-size9.size7,.katex .sizing.reset-size9.size7{font-size:.694444em}.katex .fontsize-ensurer.reset-size9.size8,.katex .sizing.reset-size9.size8{font-size:.833333em}.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:1.20023em}.katex .fontsize-ensurer.reset-size9.size11,.katex .sizing.reset-size9.size11{font-size:1.43981em}.katex .fontsize-ensurer.reset-size10.size1,.katex .sizing.reset-size10.size1{font-size:.24108em}.katex .fontsize-ensurer.reset-size10.size2,.katex .sizing.reset-size10.size2{font-size:.289296em}.katex .fontsize-ensurer.reset-size10.size3,.katex .sizing.reset-size10.size3{font-size:.337512em}.katex .fontsize-ensurer.reset-size10.size4,.katex .sizing.reset-size10.size4{font-size:.385728em}.katex .fontsize-ensurer.reset-size10.size5,.katex .sizing.reset-size10.size5{font-size:.433944em}.katex .fontsize-ensurer.reset-size10.size6,.katex .sizing.reset-size10.size6{font-size:.48216em}.katex .fontsize-ensurer.reset-size10.size7,.katex .sizing.reset-size10.size7{font-size:.578592em}.katex .fontsize-ensurer.reset-size10.size8,.katex .sizing.reset-size10.size8{font-size:.694311em}.katex .fontsize-ensurer.reset-size10.size9,.katex .sizing.reset-size10.size9{font-size:.833173em}.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:1.19961em}.katex .fontsize-ensurer.reset-size11.size1,.katex .sizing.reset-size11.size1{font-size:.200965em}.katex .fontsize-ensurer.reset-size11.size2,.katex .sizing.reset-size11.size2{font-size:.241158em}.katex .fontsize-ensurer.reset-size11.size3,.katex .sizing.reset-size11.size3{font-size:.281351em}.katex .fontsize-ensurer.reset-size11.size4,.katex .sizing.reset-size11.size4{font-size:.321543em}.katex .fontsize-ensurer.reset-size11.size5,.katex .sizing.reset-size11.size5{font-size:.361736em}.katex .fontsize-ensurer.reset-size11.size6,.katex .sizing.reset-size11.size6{font-size:.401929em}.katex .fontsize-ensurer.reset-size11.size7,.katex .sizing.reset-size11.size7{font-size:.482315em}.katex .fontsize-ensurer.reset-size11.size8,.katex .sizing.reset-size11.size8{font-size:.578778em}.katex .fontsize-ensurer.reset-size11.size9,.katex .sizing.reset-size11.size9{font-size:.694534em}.katex .fontsize-ensurer.reset-size11.size10,.katex .sizing.reset-size11.size10{font-size:.833601em}.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{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 .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{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 .stretchy{width:100%;display:block;position:relative;overflow:hidden}.katex .stretchy:after,.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 .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>.tag{position:absolute;right:0}.katex-display.leqno>.katex>.katex-html>.tag{left:0;right:auto}.katex-display.fleqn>.katex{text-align:left;padding-left:2em}body{counter-reset:katexEqnNo mmlEqnNo}
