@import"https://fonts.googleapis.com/css2?family=Instrument+Serif:ital@0;1&family=Geist:wght@300;400;500;600;700&family=JetBrains+Mono:wght@400;500;600&display=swap";html,body,#root{margin:0;padding:0;min-height:100vh;min-width:320px}body{-webkit-font-smoothing:antialiased;-moz-osx-font-smoothing:grayscale}*,*:before,*:after{box-sizing:border-box}button{font-family:inherit;cursor:pointer}a{color:inherit;text-decoration:none}:root{--serif: "Instrument Serif", Georgia, serif;--sans: "Geist", "Inter", system-ui, sans-serif;--mono: "JetBrains Mono", "Fira Mono", monospace;--paper: #f1ece1;--paper-2: #e8e2d3;--paper-3: #ddd5c2;--ink: #14130f;--ink-2: #2a2723;--ink-3: #6b6557;--ink-4: #97907f;--rule: #c8c0ad;--accent: #d8ff3a;--acc-ink: #14130f;--danger: #b91c1c;--danger-bg: rgba(185, 28, 28, .07);--danger-border: rgba(185, 28, 28, .22);--danger-text: #7f1d1d;--warn: #d97706;--warn-bg: rgba(217, 119, 6, .07);--warn-border: rgba(217, 119, 6, .25);--warn-text: #92400e;--success: #15803d;--success-bg: rgba(21, 128, 61, .07);--success-border: rgba(21, 128, 61, .25);--success-text: #14532d;--bg: var(--paper);--bg-grid: rgba(200, 192, 173, .18);--surface: var(--paper);--surface-2: var(--paper-2);--surface-3: var(--paper-3);--text: var(--ink);--text-soft: var(--ink-3);--muted: var(--ink-4);--border: var(--rule);--border-strong: #a8a090;--accent-hover: #c8ee2a;--accent-soft: rgba(216, 255, 58, .16);--accent-ring: rgba(216, 255, 58, .38);--accent-on: var(--acc-ink);--font-sans: var(--sans);--font-mono: var(--mono);--shadow-xs: 0 1px 2px rgba(20, 19, 15, .06);--shadow-sm: 0 2px 6px rgba(20, 19, 15, .08);--shadow-md: 0 4px 16px rgba(20, 19, 15, .1);--shadow-lg: 0 12px 40px rgba(20, 19, 15, .14);--radius-sm: 6px;--radius: 10px;--radius-lg: 14px}html,body{font-family:var(--sans);font-size:15px;line-height:1.6;color:var(--ink);background-color:var(--paper)}body:before{content:"";position:fixed;inset:0;pointer-events:none;z-index:0;background-image:linear-gradient(rgba(200,192,173,.22) 1px,transparent 1px),linear-gradient(90deg,rgba(200,192,173,.22) 1px,transparent 1px);background-size:32px 32px}#root{position:relative;z-index:1}.app-navbar{position:sticky;top:0;z-index:100;height:60px;background:#f1ece1eb;border-bottom:1px solid var(--rule);-webkit-backdrop-filter:blur(12px);backdrop-filter:blur(12px)}.navbar-inner{max-width:1200px;margin:0 auto;display:grid;grid-template-columns:1fr auto 1fr;align-items:center;height:100%;padding:0 24px;gap:16px}.brand{display:flex;align-items:center;gap:10px;text-decoration:none;color:var(--ink);font-family:var(--sans);font-weight:600;font-size:15px}.brand-glyph{width:28px;height:28px;border:1.5px solid var(--ink);display:grid;place-items:center;font-family:var(--serif);font-style:italic;font-size:17px;line-height:1;flex-shrink:0}.brand-mark{display:none}.brand-text h1{font-size:15px;font-weight:600;margin:0;color:var(--ink)}.navbar-links{display:flex;gap:2px;margin:0}.navbar-link,.nav-tab{padding:5px 14px;border-radius:99px;border:none;background:transparent;cursor:pointer;font-family:var(--sans);font-size:13px;font-weight:500;color:var(--ink-3);transition:all .14s;text-decoration:none;display:inline-block}.navbar-link:hover:not(.active),.nav-tab:hover:not(.active){background:var(--paper-2);color:var(--ink-2)}.navbar-link.active,.nav-tab.active{background:var(--ink);color:var(--paper)}.navbar-actions{display:flex;align-items:center;justify-content:flex-end;gap:8px}.navbar-user{display:flex;align-items:center;gap:8px}.user-avatar{width:28px;height:28px;border-radius:50%;border:1px solid var(--rule);object-fit:cover}.user-avatar-fallback{display:grid;place-items:center;background:var(--ink);color:var(--paper);font-size:12px;font-weight:600}.user-name{font-family:var(--mono);font-size:11px;color:var(--ink-3);letter-spacing:.04em;max-width:130px;overflow:hidden;text-overflow:ellipsis;white-space:nowrap}.navbar-cta{padding:5px 14px;border-radius:99px;border:1.5px solid var(--ink);background:transparent;font-family:var(--sans);font-size:13px;font-weight:500;color:var(--ink);cursor:pointer;text-decoration:none;transition:all .14s}.navbar-cta:hover{background:var(--ink);color:var(--paper)}.btn{display:inline-flex;align-items:center;gap:6px;padding:8px 18px;border:1.5px solid var(--ink);border-radius:99px;background:transparent;color:var(--ink);font-family:var(--sans);font-size:14px;font-weight:500;cursor:pointer;transition:all .14s;text-decoration:none;white-space:nowrap}.btn:hover{background:var(--paper-2)}.btn.accent{background:var(--accent);border-color:var(--accent);color:var(--acc-ink)}.btn.accent:hover{background:var(--accent-hover);border-color:var(--accent-hover)}.btn.ghost{border-color:var(--rule);color:var(--ink-3)}.btn.ghost:hover{border-color:var(--ink-3);color:var(--ink-2)}.btn.sm{padding:5px 14px;font-size:13px}.arrow{display:inline-block;margin-left:2px}.convert-btn{display:inline-flex;align-items:center;gap:8px;padding:10px 24px;border:1.5px solid var(--ink);border-radius:99px;background:var(--ink);color:var(--paper);font-family:var(--sans);font-size:14px;font-weight:500;cursor:pointer;transition:all .14s;white-space:nowrap}.convert-btn:hover:not(:disabled){background:var(--ink-2);border-color:var(--ink-2)}.convert-btn:active:not(:disabled){transform:scale(.98)}.convert-btn:disabled{opacity:.38;cursor:not-allowed}.convert-btn svg{display:block}.icon-btn{width:36px;height:36px;display:grid;place-items:center;border:1px solid transparent;background:transparent;color:var(--ink-3);border-radius:8px;cursor:pointer;transition:all .14s;position:relative}.icon-btn svg{display:block}.icon-btn:hover:not(:disabled){background:var(--paper-2);color:var(--ink-2);border-color:var(--rule)}.icon-btn:active:not(:disabled){transform:scale(.95)}.icon-btn:disabled{opacity:.32;cursor:not-allowed}.icon-btn.active{background:var(--paper-2);color:var(--ink);border-color:var(--rule)}.icon-btn.danger:hover:not(:disabled){color:var(--danger);background:var(--danger-bg);border-color:var(--danger-border)}.icon-btn[data-tooltip]:before{content:attr(data-tooltip);position:absolute;top:calc(100% + 6px);left:50%;transform:translate(-50%);padding:4px 8px;background:var(--ink);color:var(--paper);font-family:var(--mono);font-size:11px;font-weight:500;border-radius:4px;white-space:nowrap;opacity:0;pointer-events:none;transition:opacity .12s;z-index:10}.icon-btn[data-tooltip]:hover:before{opacity:1}.toolbar{display:flex;flex-wrap:wrap;gap:8px;align-items:center;padding:8px 12px;background:var(--paper-2);border:1px solid var(--rule);border-radius:var(--radius)}.tool-group{display:flex;gap:2px;align-items:center;padding:3px;background:var(--paper-3);border-radius:8px}.divider{width:1px;align-self:stretch;background:var(--rule);margin:4px}.control{display:flex;align-items:center;gap:8px;padding:4px 10px;border-radius:8px;background:var(--paper-3);font-size:12px;color:var(--ink-3);font-weight:500;height:40px}.control input[type=range]{width:100px;accent-color:var(--ink)}.control input[type=color]{width:26px;height:26px;padding:0;border-radius:6px;border:1px solid var(--rule);cursor:pointer;-webkit-appearance:none;appearance:none;overflow:hidden}.control input[type=color]::-webkit-color-swatch-wrapper{padding:0}.control input[type=color]::-webkit-color-swatch{border:none;border-radius:5px}.control input[type=color]:disabled{opacity:.4;cursor:not-allowed}.control .value{min-width:32px;text-align:right;color:var(--ink);font-weight:600;font-family:var(--mono);font-size:11px}.toolbar-spacer{flex:1;min-width:0}.board-wrap{position:relative;width:100%;border:1px solid var(--rule);border-radius:var(--radius-lg);overflow:hidden;box-shadow:var(--shadow-sm);background:#faf8f2}.board-wrap:before{content:"";position:absolute;inset:0;pointer-events:none;background-image:linear-gradient(rgba(200,192,173,.18) 1px,transparent 1px),linear-gradient(90deg,rgba(200,192,173,.18) 1px,transparent 1px);background-size:28px 28px;z-index:1}.board{position:relative;display:block;width:100%;height:480px;background:transparent;touch-action:none;cursor:crosshair;z-index:3}.canvas-empty-hint{position:absolute;inset:0;z-index:4;display:flex;flex-direction:column;align-items:center;justify-content:center;gap:10px;pointer-events:none;-webkit-user-select:none;user-select:none;color:var(--ink-4);opacity:.6}.canvas-empty-hint svg{display:block;opacity:.65}.canvas-empty-hint span{font-family:var(--serif);font-style:italic;font-size:16px}.banner{width:100%;display:flex;align-items:flex-start;gap:12px;padding:10px 14px;border-radius:var(--radius);font-size:13px;line-height:1.55;border:1px solid}.banner svg{flex-shrink:0;margin-top:1px}.banner-error{background:var(--danger-bg);color:var(--danger-text);border-color:var(--danger-border)}.banner-warn{background:var(--warn-bg);color:var(--warn-text);border-color:var(--warn-border)}.banner code{font-family:var(--mono);font-size:.85em;background:#14130f14;padding:1px 5px;border-radius:3px}.loading-row{display:flex;align-items:center;gap:8px;font-size:13px;font-weight:500}.loading-bar{position:relative;height:2px;width:100%;background:var(--paper-3);border-radius:99px;overflow:hidden}.loading-bar:after{content:"";position:absolute;top:0;left:0;height:100%;width:35%;background:linear-gradient(90deg,transparent,var(--ink),transparent);border-radius:inherit;animation:progress-slide 1.4s ease-in-out infinite}@keyframes progress-slide{0%{left:-35%}to{left:100%}}.shimmer-text{background:linear-gradient(90deg,var(--ink-3) 0%,var(--ink-3) 40%,var(--ink) 50%,var(--ink-3) 60%,var(--ink-3) 100%);background-size:200% 100%;-webkit-background-clip:text;background-clip:text;-webkit-text-fill-color:transparent;animation:shimmer-slide 1.8s linear infinite}@keyframes shimmer-slide{0%{background-position:100% 0}to{background-position:-100% 0}}.results{width:100%;background:var(--paper-2);border:1px solid var(--rule);border-radius:var(--radius-lg);padding:20px;box-shadow:var(--shadow-xs);display:flex;flex-direction:column;gap:16px}.result-section{display:flex;flex-direction:column;gap:8px}.result-label{margin:0;font-family:var(--mono);font-size:10px;font-weight:600;color:var(--ink-4);text-transform:uppercase;letter-spacing:.08em}.result-label-row{display:flex;align-items:center;justify-content:space-between;gap:8px}.copy-btn{display:inline-flex;align-items:center;gap:5px;padding:3px 9px;border-radius:99px;border:1px solid var(--rule);background:var(--paper);color:var(--ink-3);font-size:11px;font-weight:500;font-family:inherit;cursor:pointer;transition:all .12s}.copy-btn:hover{color:var(--ink);border-color:var(--ink-3)}.copy-btn.copied{color:var(--success);border-color:var(--success-border);background:var(--success-bg)}.copy-btn svg{display:block}.result-error{background:var(--danger-bg);border:1px solid var(--danger-border);color:var(--danger-text);border-radius:var(--radius);padding:12px 14px;line-height:1.55;display:flex;gap:10px}.result-error svg{flex-shrink:0;margin-top:1px}.result-error-title{font-weight:600;margin-bottom:3px;font-size:13px}.result-error-body{font-size:12px;word-break:break-word}.latex-box{background:var(--paper);border:1px solid var(--rule);border-radius:var(--radius);padding:24px 16px;text-align:center;overflow-x:auto;font-size:1.2rem}.latex-raw{font-family:var(--mono);font-size:11px;color:var(--ink-4);text-align:center;word-break:break-all}.latex-raw code{background:var(--paper-3);padding:2px 6px;border-radius:4px;font-family:inherit}.solution-text{background:var(--paper);border:1px solid var(--rule);color:var(--ink);border-radius:var(--radius);padding:12px 14px;font-family:var(--mono);font-size:13px;font-weight:500;word-break:break-word}.solution-box{background:#d8ff3a1f;border-color:#d8ff3a73}.operation-badge{display:inline-flex;align-items:center;gap:5px;padding:3px 9px;background:#d8ff3a1f;color:var(--ink-2);border:1px solid rgba(216,255,58,.38);border-radius:99px;font-family:var(--mono);font-size:11px;font-weight:600;letter-spacing:.04em;align-self:flex-start}.operation-badge:before{content:"";width:5px;height:5px;border-radius:50%;background:var(--ink)}.steps-details{border:1px solid var(--rule);border-radius:var(--radius);overflow:hidden;background:var(--paper-2)}.steps-summary{padding:10px 12px;cursor:pointer;font-size:12px;font-weight:500;color:var(--ink-3);list-style:none;-webkit-user-select:none;user-select:none;display:flex;align-items:center;gap:6px;transition:color .12s}.steps-summary:hover{color:var(--ink)}.steps-summary::-webkit-details-marker{display:none}.steps-summary:before{content:"";width:0;height:0;border-style:solid;border-width:4px 0 4px 6px;border-color:transparent transparent transparent currentColor;transition:transform .14s}details[open] .steps-summary:before{transform:rotate(90deg)}.steps-list{margin:0;padding:4px 16px 12px 32px;display:flex;flex-direction:column;gap:4px;font-size:12px;color:var(--ink-3);background:var(--paper);border-top:1px solid var(--rule)}.steps-list li{line-height:1.55;padding-left:4px}.badge-row{display:flex;flex-wrap:wrap;gap:6px;align-items:center}.source-badge{display:inline-flex;align-items:center;gap:4px;padding:3px 9px;border-radius:99px;font-family:var(--mono);font-size:11px;font-weight:600;letter-spacing:.03em;border:1px solid var(--rule);background:var(--paper)}.source-badge.source-local{color:var(--ink);border-color:var(--ink);background:#d8ff3a1f}.source-badge.source-gemini{color:var(--ink-3)}.agreement{display:inline-flex;align-items:center;gap:5px;padding:5px 10px;border-radius:6px;font-size:12px;font-weight:600;margin-top:3px;align-self:flex-start}.agreement-match{color:#166534;background:#16653414;border:1px solid rgba(22,101,52,.24)}.agreement-differ{color:#92400e;background:#92400e14;border:1px solid rgba(146,64,14,.24)}@keyframes result-appear{0%{opacity:0;transform:translateY(8px)}to{opacity:1;transform:translateY(0)}}.result-success{display:flex;flex-direction:column;gap:16px;animation:result-appear .24s ease both}.result-card{border-radius:var(--radius);padding:16px;display:flex;flex-direction:column;gap:8px;border:1px solid var(--rule);background:var(--paper)}.result-card-input{border-top:3px solid var(--ink)}.result-card-solution{border-top:3px solid var(--success);background:var(--success-bg);border-color:var(--success-border);border-top-color:var(--success)}.latex-hero{text-align:center;overflow-x:auto;font-size:1.2rem;padding:14px 10px;background:var(--paper-2);border:1px solid var(--rule);border-radius:var(--radius-sm)}.latex-solution-hero{font-size:1.4rem;padding:18px 10px;background:var(--paper-2);border-color:var(--success-border)}.result-equals-divider{display:flex;align-items:center;gap:8px;margin:-4px 0}.result-equals-line{flex:1;height:1px;background:var(--rule)}.result-equals-sym{font-family:var(--mono);font-size:1rem;font-weight:600;color:var(--ink-4);line-height:1}.explorer{width:100%;max-width:1200px;margin:0 auto;padding:32px;display:flex;flex-direction:column;gap:16px}.explorer-frame{width:100%;height:calc(100vh - 160px);min-height:520px;border:1px solid var(--rule);border-radius:var(--radius-lg);background:var(--paper-2)}.landing{display:flex;flex-direction:column;min-height:100vh}.section-tag{display:flex;align-items:center;gap:12px;font-family:var(--mono);font-size:10px;letter-spacing:.1em;color:var(--ink-4);text-transform:uppercase;margin-bottom:36px}.section-tag .line{flex:1;max-width:120px;height:1px;background:var(--rule)}.section-tag .num{white-space:nowrap}.hero-section{padding:72px 40px 80px;max-width:1200px;margin:0 auto;width:100%}.hero-grid{display:grid;grid-template-columns:1fr 1fr;gap:60px;align-items:start}.hero-section h1{font-family:var(--serif);font-size:clamp(44px,5.5vw,70px);font-weight:400;line-height:1.06;letter-spacing:-.02em;color:var(--ink);margin:0 0 24px}.hero-section h1 .it{font-style:italic}.hero-section h1 .strike{text-decoration:line-through;opacity:.38}.lede{font-size:17px;color:var(--ink-3);line-height:1.65;max-width:44ch;margin:0 0 32px}.cta-row{display:flex;align-items:center;gap:12px;flex-wrap:wrap;margin-bottom:36px}.meta-row{display:grid;grid-template-columns:repeat(4,1fr);gap:1px;background:var(--rule);border:1px solid var(--rule);border-radius:6px;overflow:hidden}.meta-row .cell{background:var(--paper);padding:12px 14px;display:flex;flex-direction:column;gap:4px;font-family:var(--mono);font-size:9px;letter-spacing:.08em;color:var(--ink-4);text-transform:uppercase}.meta-row .cell b{font-family:var(--serif);font-style:italic;font-size:22px;color:var(--ink);letter-spacing:0;font-weight:400}.eq-card{position:relative;border:1px solid var(--rule);border-radius:4px;padding:16px 20px 20px;background:var(--paper-2)}.eq-card .marg{font-family:var(--mono);font-size:9px;letter-spacing:.1em;color:var(--ink-4);text-transform:uppercase;display:block;margin-bottom:4px}.eq-card .corner{position:absolute;top:12px;right:14px;font-family:var(--mono);font-size:9px;color:var(--ink-4);letter-spacing:.06em}.eq-card .row2{display:flex;justify-content:space-between;align-items:baseline;gap:12px;margin-top:12px;padding-top:12px;border-top:1px solid var(--rule)}.eq-card .latex{font-family:var(--serif);font-style:italic;font-size:18px;color:var(--ink-2)}.eq-card .solved{font-family:var(--mono);font-size:14px;color:var(--ink-2)}.features-section{border-top:1px solid var(--rule);padding:72px 40px;max-width:1200px;margin:0 auto;width:100%}.features-section h2{font-family:var(--serif);font-size:clamp(30px,4vw,50px);font-weight:400;line-height:1.1;margin:0 0 48px}.features-section h2 .it{font-style:italic}.feat-grid{display:grid;grid-template-columns:repeat(12,1fr);gap:1px;background:var(--rule);border:1px solid var(--rule);border-radius:6px;overflow:hidden}.feat{background:var(--paper);padding:28px 24px;display:flex;flex-direction:column}.feat.dark{background:var(--ink);color:var(--paper)}.feat.dark .n{color:#f1ece166}.feat.dark h3{color:var(--paper)}.feat.dark p{color:#f1ece1ad}.feat.accent-bg{background:var(--accent)}.feat.accent-bg .n{color:#14130f6b}.span4{grid-column:span 4}.span6{grid-column:span 6}.feat .n{font-family:var(--mono);font-size:10px;letter-spacing:.08em;color:var(--ink-4);text-transform:uppercase;margin-bottom:12px}.feat h3{font-family:var(--serif);font-size:22px;font-weight:400;line-height:1.2;margin:0 0 10px;color:var(--ink)}.feat h3 .it{font-style:italic}.feat p{font-size:13px;color:var(--ink-3);line-height:1.6;margin:0}.feat .icon{margin-top:auto}.chip{display:inline-flex;align-items:center;gap:6px;padding:4px 12px;border:1px solid var(--ink);border-radius:99px;font-family:var(--mono);font-size:10px;letter-spacing:.05em;color:var(--ink-2)}.chip .dot{width:6px;height:6px;border-radius:50%;background:var(--accent);flex-shrink:0}.auth-page{min-height:calc(100vh - 60px);display:grid;grid-template-columns:1fr 1fr}.auth-left{background:var(--ink);color:var(--paper);padding:60px 52px;display:flex;flex-direction:column;justify-content:space-between}.auth-left .smallcaps{font-family:var(--mono);font-size:10px;letter-spacing:.1em;text-transform:uppercase;color:#f1ece180}.auth-left .quote{font-family:var(--serif);font-style:italic;font-size:26px;line-height:1.32;color:var(--paper);max-width:28ch;margin:24px 0 0}.auth-left .quote .acc{background:var(--accent);color:var(--acc-ink);padding:0 3px}.auth-left .who{font-family:var(--mono);font-size:12px;color:#f1ece173;margin-top:16px}.auth-left .marg{display:flex;flex-direction:column;gap:16px;padding-top:40px;border-top:1px solid rgba(241,236,225,.1)}.auth-left .marg .c{display:flex;justify-content:space-between;align-items:baseline}.auth-left .marg .l{font-family:var(--mono);font-size:10px;letter-spacing:.08em;text-transform:uppercase;color:#f1ece16b}.auth-left .marg .v{font-family:var(--serif);font-style:italic;font-size:20px;color:var(--paper)}.auth-right{padding:60px 52px;display:flex;flex-direction:column;background:var(--paper)}.auth-right .smallcaps{font-family:var(--mono);font-size:10px;letter-spacing:.1em;text-transform:uppercase;color:var(--ink-4)}.auth-right h2{font-family:var(--serif);font-size:36px;font-weight:400;margin:8px 0 4px;color:var(--ink);line-height:1.15}.auth-right h2 .it{font-style:italic}.auth-right .sub{font-size:14px;color:var(--ink-3);margin:0 0 28px}.auth-page .field,.auth-field{display:flex;flex-direction:column;gap:6px;margin-bottom:16px}.auth-page .field label,.auth-field>span{font-family:var(--mono);font-size:11px;letter-spacing:.06em;text-transform:uppercase;color:var(--ink-3)}.auth-page .field input,.auth-field>input{padding:10px 14px;border:1px solid var(--rule);border-radius:4px;background:var(--paper);color:var(--ink);font-size:15px;font-family:var(--sans);outline:none;transition:border-color .15s}.auth-page .field input:focus,.auth-field>input:focus{border-color:var(--ink)}.auth-actions{display:flex;gap:10px;margin-bottom:24px;flex-wrap:wrap}.divider-or{display:flex;align-items:center;gap:12px;font-size:12px;color:var(--ink-4);margin:20px 0;font-family:var(--mono);letter-spacing:.06em}.divider-or .l{flex:1;height:1px;background:var(--rule)}.sso{display:flex;gap:10px}.auth-card{max-width:420px;width:100%;margin:0 auto;padding:40px 48px;border:1px solid var(--rule);border-radius:var(--radius-lg);background:var(--paper);display:flex;flex-direction:column;gap:14px}.auth-title{font-family:var(--serif);font-size:28px;font-weight:400;color:var(--ink);margin:0}.auth-subtitle{font-size:14px;color:var(--ink-3);margin:0}.auth-google-btn{width:100%;display:flex;align-items:center;justify-content:center;gap:10px;padding:10px;border:1.5px solid var(--rule);border-radius:99px;background:var(--paper);color:var(--ink);font-size:14px;font-weight:500;cursor:pointer;transition:all .14s}.auth-google-btn:hover{border-color:var(--ink-3);background:var(--paper-2)}.auth-google-btn:disabled{opacity:.42;cursor:not-allowed}.auth-divider{display:flex;align-items:center;gap:12px;font-family:var(--mono);font-size:11px;color:var(--ink-4);letter-spacing:.06em}.auth-divider:before,.auth-divider:after{content:"";flex:1;height:1px;background:var(--rule)}.auth-form{display:flex;flex-direction:column;gap:4px}.auth-error{padding:9px 12px;border-radius:6px;background:var(--danger-bg);color:var(--danger-text);border:1px solid var(--danger-border);font-size:13px}.auth-toggle{margin-top:16px;background:none;border:none;color:var(--ink-3);font-size:13px;cursor:pointer;text-decoration:underline;padding:0;text-align:left}.auth-toggle:hover{color:var(--ink)}.notebook-list-page{max-width:1100px;margin:0 auto;width:100%;padding:48px 32px;display:flex;flex-direction:column;gap:32px}.page-header{display:flex;align-items:flex-start;justify-content:space-between;gap:16px;flex-wrap:wrap}.page-title{font-family:var(--serif);font-size:36px;font-weight:400;color:var(--ink);margin:0 0 4px;line-height:1.1}.page-subtitle{font-size:14px;color:var(--ink-3);margin:0}.page-loading{text-align:center;padding:80px 20px;font-family:var(--serif);font-style:italic;font-size:18px;color:var(--ink-3)}.empty-state{display:flex;flex-direction:column;align-items:center;gap:12px;padding:60px 20px;border:1px dashed var(--rule);border-radius:var(--radius-lg);color:var(--ink-3);text-align:center}.empty-state h3{font-family:var(--serif);font-size:22px;font-weight:400;color:var(--ink);margin:4px 0 0}.empty-state p{font-size:14px;margin:0 0 16px}.notebook-grid{display:grid;grid-template-columns:repeat(auto-fill,minmax(260px,1fr));gap:1px;background:var(--rule);border:1px solid var(--rule);border-radius:6px;overflow:hidden;list-style:none;margin:0;padding:0}.notebook-card{background:var(--paper);display:flex;align-items:center;gap:14px;padding:20px;transition:background .14s;position:relative}.notebook-card:hover{background:var(--paper-2)}.notebook-card-link{display:flex;align-items:center;gap:14px;text-decoration:none;color:inherit;flex:1;min-width:0}.notebook-card-mark{width:40px;height:40px;border:1px solid var(--rule);border-radius:4px;display:grid;place-items:center;flex-shrink:0;background:var(--paper-2);color:var(--ink-3)}.notebook-card-body{flex:1;min-width:0}.notebook-card-title{font-family:var(--serif);font-size:16px;font-weight:400;color:var(--ink);margin:0 0 3px;white-space:nowrap;overflow:hidden;text-overflow:ellipsis}.notebook-card-meta{font-family:var(--mono);font-size:10px;letter-spacing:.05em;color:var(--ink-4);text-transform:uppercase;margin:0}.notebook-card .icon-btn.danger{opacity:0;transition:opacity .14s}.notebook-card:hover .icon-btn.danger,.notebook-card:focus-within .icon-btn.danger{opacity:1}.nb-layout{display:grid;grid-template-columns:60px 1fr 340px;height:calc(100vh - 60px);overflow:hidden}.nb-rail{border-right:1px solid var(--rule);display:flex;flex-direction:column;align-items:center;padding:12px 0;gap:2px;background:var(--paper-2);overflow-y:auto}.nb-rail-sep{width:32px;height:1px;background:var(--rule);margin:8px 0}.rail-btn{width:40px;height:40px;display:grid;place-items:center;border:1px solid transparent;border-radius:8px;background:transparent;color:var(--ink-3);cursor:pointer;transition:all .14s;position:relative}.rail-btn svg{display:block}.rail-btn:hover:not(:disabled){background:var(--paper-3);color:var(--ink-2);border-color:var(--rule)}.rail-btn.active{background:var(--ink);color:var(--paper);border-color:var(--ink)}.rail-btn:disabled{opacity:.28;cursor:not-allowed}.rail-btn.danger:hover:not(:disabled){color:var(--danger);background:var(--danger-bg)}.rail-btn[data-tooltip]:before{content:attr(data-tooltip);position:absolute;left:calc(100% + 8px);top:50%;transform:translateY(-50%);padding:4px 8px;background:var(--ink);color:var(--paper);font-family:var(--mono);font-size:11px;border-radius:4px;white-space:nowrap;opacity:0;pointer-events:none;transition:opacity .12s;z-index:20}.rail-btn[data-tooltip]:hover:before{opacity:1}.rail-color{width:28px;height:28px;border-radius:50%;border:2px solid var(--rule);cursor:pointer;-webkit-appearance:none;appearance:none;overflow:hidden;margin-top:4px}.rail-color::-webkit-color-swatch-wrapper{padding:0}.rail-color::-webkit-color-swatch{border:none;border-radius:50%}.nb-canvas-area{display:flex;flex-direction:column;background:var(--paper);overflow:hidden;position:relative}.nb-title-bar{display:flex;align-items:center;gap:10px;padding:10px 16px;border-bottom:1px solid var(--rule);background:var(--paper);flex-shrink:0}.nb-title-input{flex:1;background:transparent;border:none;font-family:var(--serif);font-size:17px;color:var(--ink);outline:none;min-width:0}.nb-title-input::placeholder{color:var(--ink-4)}.nb-save-status{font-family:var(--mono);font-size:10px;letter-spacing:.06em;color:var(--ink-4);white-space:nowrap;flex-shrink:0}.nb-canvas-wrap{flex:1;overflow:hidden;position:relative}.nb-canvas-wrap .board-wrap{position:absolute;inset:0;border-radius:0;border:none;box-shadow:none;background:#faf8f2}.nb-canvas-wrap .board{height:100%}.nb-page-nav{display:flex;align-items:center;justify-content:center;gap:8px;padding:8px 16px;border-top:1px solid var(--rule);background:var(--paper);flex-shrink:0}.nb-solver{border-left:1px solid var(--rule);display:flex;flex-direction:column;padding:16px;gap:14px;overflow-y:auto;background:var(--paper-2);min-height:0}.nb-solver-header{font-family:var(--mono);font-size:10px;letter-spacing:.1em;text-transform:uppercase;color:var(--ink-4);padding-bottom:10px;border-bottom:1px solid var(--rule);flex-shrink:0}.notebook-page{max-width:1100px;margin:0 auto;width:100%;padding:32px;display:flex;flex-direction:column;gap:16px}.notebook-header{display:flex;align-items:center;gap:12px;width:100%}.notebook-title-input{flex:1;background:transparent;border:none;font-family:var(--serif);font-size:22px;color:var(--ink);outline:none;font-weight:400}.back-link{display:inline-flex;align-items:center;gap:5px;text-decoration:none;color:var(--ink-3);font-size:13px;font-weight:500;transition:color .12s;flex-shrink:0}.back-link:hover{color:var(--ink)}.page-nav{display:flex;align-items:center;gap:8px;padding:6px 10px;border:1px solid var(--rule);border-radius:99px;background:var(--paper);width:fit-content;align-self:center}.page-nav-label{font-family:var(--mono);font-size:12px;color:var(--ink-3);padding:0 6px}.page-nav-label strong{color:var(--ink)}.page-nav-spacer{width:16px}.page-nav-status{font-family:var(--mono);font-size:10px;color:var(--ink-4);padding:0 4px;text-transform:uppercase;letter-spacing:.06em}.page-nav-status.saving{color:var(--ink-2)}.site-footer{border-top:1px solid var(--rule);padding:60px 40px 40px;margin-top:auto}.footer-inner{max-width:1200px;margin:0 auto}.footer-grid{display:grid;grid-template-columns:2fr 1fr 1fr 1fr;gap:40px;margin-bottom:60px}.footer-grid h4{font-family:var(--mono);font-size:10px;letter-spacing:.1em;text-transform:uppercase;color:var(--ink-4);margin:0 0 14px}.footer-grid ul{list-style:none;margin:0;padding:0;display:flex;flex-direction:column;gap:8px}.footer-grid ul li{font-size:14px;color:var(--ink-3);cursor:default;transition:color .12s}.footer-grid ul li:hover{color:var(--ink)}.footer-tagline{font-family:var(--serif);font-style:italic;font-size:20px;line-height:1.3;max-width:28ch;color:var(--ink-2);margin:14px 0 0}.footer-big{font-family:var(--serif);font-size:clamp(34px,5.5vw,68px);font-weight:400;line-height:1;margin:0 0 40px;color:var(--ink)}.footer-big .it{font-style:italic}.footer-bot{display:flex;justify-content:space-between;font-family:var(--mono);font-size:10px;letter-spacing:.08em;color:var(--ink-4);text-transform:uppercase;padding-top:20px;border-top:1px solid var(--rule)}.footer-built{font-size:13px;font-weight:600;color:var(--ink-2)}.footer-github{display:inline-flex;align-items:center;gap:6px;padding:5px 12px;border-radius:99px;border:1px solid var(--rule);background:var(--paper);color:var(--ink-3);font-size:13px;font-weight:500;text-decoration:none;transition:all .12s}.footer-github:hover{color:var(--ink);border-color:var(--ink-3)}.footer-github svg{display:block}.how-section{display:none!important}.dash{padding:48px 40px;max-width:1200px;margin:0 auto;width:100%}.dash-head{display:flex;justify-content:space-between;align-items:flex-start;gap:24px;margin-bottom:40px}.filters{display:flex;gap:4px}.filter-btn{padding:5px 14px;border-radius:99px;border:none;background:transparent;cursor:pointer;font-family:var(--mono);font-size:11px;letter-spacing:.05em;text-transform:uppercase;color:var(--ink-4);transition:all .14s}.filter-btn:hover{background:var(--paper-2);color:var(--ink-2)}.filter-btn.active{background:var(--ink);color:var(--paper)}@media(max-width:960px){.hero-grid{grid-template-columns:1fr;gap:40px}.meta-row{grid-template-columns:repeat(2,1fr)}.feat-grid{grid-template-columns:repeat(6,1fr)}.span4,.span6{grid-column:span 6}.footer-grid{grid-template-columns:1fr 1fr;gap:24px}}@media(max-width:720px){.navbar-inner{grid-template-columns:auto 1fr}.navbar-links{display:none}.hero-section,.features-section{padding:40px 20px 60px}.auth-page{grid-template-columns:1fr}.auth-left{display:none}.notebook-list-page{padding:32px 16px}.nb-layout{grid-template-columns:1fr;grid-template-rows:auto 1fr auto;height:auto}.nb-rail{flex-direction:row;width:100%;height:auto;border-right:none;border-bottom:1px solid var(--rule);overflow-x:auto;padding:8px;justify-content:flex-start}.nb-canvas-wrap .board{height:60vw;min-height:300px}.nb-solver{border-left:none;border-top:1px solid var(--rule)}.footer-grid{grid-template-columns:1fr}.footer-big{font-size:clamp(28px,8vw,48px)}}.page-body{flex:1;display:flex;flex-direction:column}@font-face{font-display:block;font-family:KaTeX_AMS;font-style:normal;font-weight:400;src:url(/mathboard/assets/KaTeX_AMS-Regular-BQhdFMY1.woff2) format("woff2"),url(/mathboard/assets/KaTeX_AMS-Regular-DMm9YOAa.woff) format("woff"),url(/mathboard/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(/mathboard/assets/KaTeX_Caligraphic-Bold-Dq_IR9rO.woff2) format("woff2"),url(/mathboard/assets/KaTeX_Caligraphic-Bold-BEiXGLvX.woff) format("woff"),url(/mathboard/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(/mathboard/assets/KaTeX_Caligraphic-Regular-Di6jR-x-.woff2) format("woff2"),url(/mathboard/assets/KaTeX_Caligraphic-Regular-CTRA-rTL.woff) format("woff"),url(/mathboard/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(/mathboard/assets/KaTeX_Fraktur-Bold-CL6g_b3V.woff2) format("woff2"),url(/mathboard/assets/KaTeX_Fraktur-Bold-BsDP51OF.woff) format("woff"),url(/mathboard/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(/mathboard/assets/KaTeX_Fraktur-Regular-CTYiF6lA.woff2) format("woff2"),url(/mathboard/assets/KaTeX_Fraktur-Regular-Dxdc4cR9.woff) format("woff"),url(/mathboard/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(/mathboard/assets/KaTeX_Main-Bold-Cx986IdX.woff2) format("woff2"),url(/mathboard/assets/KaTeX_Main-Bold-Jm3AIy58.woff) format("woff"),url(/mathboard/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(/mathboard/assets/KaTeX_Main-BoldItalic-DxDJ3AOS.woff2) format("woff2"),url(/mathboard/assets/KaTeX_Main-BoldItalic-SpSLRI95.woff) format("woff"),url(/mathboard/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(/mathboard/assets/KaTeX_Main-Italic-NWA7e6Wa.woff2) format("woff2"),url(/mathboard/assets/KaTeX_Main-Italic-BMLOBm91.woff) format("woff"),url(/mathboard/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(/mathboard/assets/KaTeX_Main-Regular-B22Nviop.woff2) format("woff2"),url(/mathboard/assets/KaTeX_Main-Regular-Dr94JaBh.woff) format("woff"),url(/mathboard/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(/mathboard/assets/KaTeX_Math-BoldItalic-CZnvNsCZ.woff2) format("woff2"),url(/mathboard/assets/KaTeX_Math-BoldItalic-iY-2wyZ7.woff) format("woff"),url(/mathboard/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(/mathboard/assets/KaTeX_Math-Italic-t53AETM-.woff2) format("woff2"),url(/mathboard/assets/KaTeX_Math-Italic-DA0__PXp.woff) format("woff"),url(/mathboard/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(/mathboard/assets/KaTeX_SansSerif-Bold-D1sUS0GD.woff2) format("woff2"),url(/mathboard/assets/KaTeX_SansSerif-Bold-DbIhKOiC.woff) format("woff"),url(/mathboard/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(/mathboard/assets/KaTeX_SansSerif-Italic-C3H0VqGB.woff2) format("woff2"),url(/mathboard/assets/KaTeX_SansSerif-Italic-DN2j7dab.woff) format("woff"),url(/mathboard/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(/mathboard/assets/KaTeX_SansSerif-Regular-DDBCnlJ7.woff2) format("woff2"),url(/mathboard/assets/KaTeX_SansSerif-Regular-CS6fqUqJ.woff) format("woff"),url(/mathboard/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(/mathboard/assets/KaTeX_Script-Regular-D3wIWfF6.woff2) format("woff2"),url(/mathboard/assets/KaTeX_Script-Regular-D5yQViql.woff) format("woff"),url(/mathboard/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(/mathboard/assets/KaTeX_Size1-Regular-mCD8mA8B.woff2) format("woff2"),url(/mathboard/assets/KaTeX_Size1-Regular-C195tn64.woff) format("woff"),url(/mathboard/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(/mathboard/assets/KaTeX_Size2-Regular-Dy4dx90m.woff2) format("woff2"),url(/mathboard/assets/KaTeX_Size2-Regular-oD1tc_U0.woff) format("woff"),url(/mathboard/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(/mathboard/assets/KaTeX_Size3-Regular-CTq5MqoE.woff) format("woff"),url(/mathboard/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(/mathboard/assets/KaTeX_Size4-Regular-Dl5lxZxV.woff2) format("woff2"),url(/mathboard/assets/KaTeX_Size4-Regular-BF-4gkZK.woff) format("woff"),url(/mathboard/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(/mathboard/assets/KaTeX_Typewriter-Regular-CO6r4hn1.woff2) format("woff2"),url(/mathboard/assets/KaTeX_Typewriter-Regular-C0xS9mPB.woff) format("woff"),url(/mathboard/assets/KaTeX_Typewriter-Regular-D3Ib7_Hf.ttf) format("truetype")}.katex{font: 1.21em KaTeX_Main,Times New Roman,serif;line-height:1.2;position:relative;text-indent:0;text-rendering:auto}.katex *{-ms-high-contrast-adjust:none!important;border-color:currentColor}.katex .katex-version:after{content:"0.16.45"}.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:-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}
