:root{--bg-dark: #1a1a2e;--bg-card: #16213e;--bg-input: #0f3460;--accent: #e94560;--accent-hover: #ff6b81;--text: #eee;--text-muted: #aab;--border: #2a3a5e;--green: #2ecc71;--yellow: #f39c12;--red: #e74c3c;--blue: #3498db;--purple: #9b59b6}*{box-sizing:border-box;margin:0;padding:0}body{font-family:-apple-system,BlinkMacSystemFont,Segoe UI,Roboto,sans-serif;background:var(--bg-dark);color:var(--text);min-height:100vh}.page-center{display:flex;align-items:center;justify-content:center;min-height:100vh;padding:20px}.page{min-height:100vh;display:flex;flex-direction:column}.login-card{max-width:400px;width:100%;padding:40px 30px;text-align:center}.logo-area{margin-bottom:24px}.logo-icon{font-size:48px;display:block;margin-bottom:8px}.logo-area h1{font-size:24px;margin-bottom:8px}.subtitle{color:var(--text-muted);font-size:14px}.card{background:var(--bg-card);border-radius:16px;padding:24px;border:1px solid var(--border)}.input{width:100%;padding:12px 16px;background:var(--bg-input);border:1px solid var(--border);border-radius:8px;color:var(--text);font-size:15px;margin-bottom:12px;outline:none;transition:border-color .2s}.input:focus{border-color:var(--accent)}select.select{padding:8px 12px;background:var(--bg-input);border:1px solid var(--border);border-radius:8px;color:var(--text);font-size:14px}.error-msg{color:var(--red);font-size:13px;margin-bottom:8px}.switch-text{color:var(--accent);font-size:13px;cursor:pointer;margin-top:12px}.switch-text:hover{color:var(--accent-hover)}.btn-primary{width:100%;padding:12px;border:none;border-radius:8px;background:var(--accent);color:#fff;font-size:16px;font-weight:600;cursor:pointer;transition:background .2s}.btn-primary:hover{background:var(--accent-hover)}.btn-primary:disabled{opacity:.5;cursor:not-allowed}.btn-secondary{width:100%;padding:10px;border:1px solid var(--border);border-radius:8px;background:transparent;color:var(--text);font-size:14px;cursor:pointer;margin-top:12px;transition:background .2s}.btn-secondary:hover{background:var(--bg-input)}.btn-sm{padding:6px 14px;border:1px solid var(--border);border-radius:6px;background:transparent;color:var(--text);font-size:13px;cursor:pointer;transition:background .2s}.btn-sm:hover{background:var(--bg-input)}.btn-xs{padding:2px 8px;border:1px solid var(--border);border-radius:4px;background:transparent;color:var(--text-muted);font-size:11px;cursor:pointer}.topbar{display:flex;justify-content:space-between;align-items:center;padding:12px 24px;background:var(--bg-card);border-bottom:1px solid var(--border)}.topbar-title{font-size:16px;font-weight:600;margin-left:8px}.topbar-right{display:flex;align-items:center;gap:12px}.topbar-user{font-size:13px;color:var(--text-muted)}.badge{display:inline-block;padding:2px 8px;border-radius:4px;font-size:12px;margin-left:8px;font-weight:600}.blind-badge{background:#8e44ad;color:#fff}.timed-badge{background:#e67e22;color:#fff}.timed-badge.urgent{background:var(--red);animation:pulse 1s infinite}@keyframes pulse{0%,to{opacity:1}50%{opacity:.5}}.lobby-layout{display:flex;flex:1;gap:24px;padding:24px}.sidebar{width:280px;flex-shrink:0;display:flex;flex-direction:column;gap:16px}.profile-card{background:var(--bg-card);border-radius:12px;padding:20px;border:1px solid var(--border)}.rank-badge{font-size:18px;font-weight:700;text-align:center;padding:12px;background:linear-gradient(135deg,#e94560,#8e44ad);border-radius:8px;margin-bottom:12px}.stat-row{display:flex;justify-content:space-between;padding:4px 0;font-size:13px}.stat-row span:last-child{color:var(--accent);font-weight:600}.skill-section{display:flex;flex-direction:column;gap:6px;margin-top:8px}.challenge-panel{background:var(--bg-card);border-radius:12px;padding:16px;border:1px solid var(--border)}.challenge-panel h4{margin-bottom:8px;font-size:14px}.mode-option{display:block;padding:6px 0;font-size:13px;cursor:pointer}.mode-option input{margin-right:8px}.case-list{flex:1}.filter-bar{display:flex;justify-content:space-between;align-items:center;margin-bottom:16px}.filter-bar h2{font-size:18px}.case-grid{display:grid;grid-template-columns:repeat(auto-fill,minmax(300px,1fr));gap:16px}.case-card{background:var(--bg-card);border-radius:12px;padding:20px;border:1px solid var(--border);cursor:pointer;transition:border-color .2s,transform .1s}.case-card:hover{border-color:var(--accent);transform:translateY(-2px)}.case-header{display:flex;gap:8px;margin-bottom:8px}.difficulty-tag{font-size:12px;padding:2px 8px;border-radius:4px;background:var(--bg-input)}.topic-tag{font-size:12px;padding:2px 8px;border-radius:4px;background:#3498db33;color:var(--blue)}.case-title{font-size:16px;margin-bottom:6px}.case-desc{font-size:13px;color:var(--text-muted);margin-bottom:12px}.case-footer{display:flex;justify-content:space-between;align-items:center}.crime-tags{display:flex;gap:4px;flex-wrap:wrap}.crime-tag{display:inline-block;padding:2px 6px;border-radius:4px;font-size:11px}.tag-fact{background:#e74c3c33;color:var(--red)}.tag-logic{background:#f39c1233;color:var(--yellow)}.tag-bias{background:#3498db33;color:var(--blue)}.loading{text-align:center;padding:60px;color:var(--text-muted);font-size:16px}.investigation-body{flex:1;padding:24px;max-width:1200px;margin:0 auto;width:100%}.briefing-panel{max-width:700px;margin:40px auto}.briefing-panel h2{margin-bottom:16px}.case-description{font-size:15px;line-height:1.6;margin-bottom:12px}.case-note{font-size:14px;color:var(--text-muted);line-height:1.5;margin-bottom:24px}.hint-link{color:var(--blue);text-decoration:underline}.briefing-actions{text-align:center}.timed-warning{color:var(--yellow);font-size:14px;margin-bottom:12px}.truth-btn{margin-top:8px;border-color:var(--blue);color:var(--blue)}.truth-btn:hover{background:#3498db1a}.truth-section{margin-top:20px}.truth-section h4{margin-bottom:12px}.truth-item{background:var(--bg-card);border:1px solid var(--border);border-radius:10px;padding:14px;margin-bottom:8px}.truth-title{font-size:14px;font-weight:600;margin-bottom:4px}.truth-url{display:block;font-size:11px;color:var(--blue);word-break:break-all;margin-bottom:6px;text-decoration:underline}.truth-snippet{font-size:13px;color:var(--text-muted);line-height:1.5;margin-bottom:4px;padding:6px 8px;background:var(--bg-input);border-radius:4px}.truth-relevance{font-size:12px;color:var(--text-muted);font-style:italic}.hub-page{min-height:100vh;background:var(--bg-dark);display:flex;flex-direction:column}.hub-topbar{display:flex;justify-content:space-between;align-items:center;padding:14px 32px;border-bottom:1px solid var(--border)}.hub-topbar-left{display:flex;align-items:center;gap:10px}.hub-brand-icon{font-size:24px}.hub-brand-name{font-size:17px;font-weight:700;color:var(--text)}.hub-topbar-right{display:flex;align-items:center;gap:12px}.hub-rank-badge{font-size:11px;padding:3px 10px;border-radius:20px;background:linear-gradient(135deg,var(--accent),var(--purple));color:#fff;font-weight:600}.hub-username{font-size:14px;color:var(--text-muted)}.hub-logout-btn{padding:5px 14px;border:1px solid var(--border);border-radius:6px;background:transparent;color:var(--text-muted);font-size:13px;cursor:pointer;transition:all .15s}.hub-logout-btn:hover{border-color:var(--accent);color:var(--accent)}.hub-main{flex:1;display:flex;flex-direction:column;align-items:center;justify-content:center;padding:40px 24px 60px}.hub-intro{text-align:center;margin-bottom:40px}.hub-intro h2{font-size:24px;margin-bottom:8px}.hub-intro p{font-size:14px;color:var(--text-muted)}.hub-cards{display:flex;gap:28px;justify-content:center;flex-wrap:wrap;max-width:800px}.hub-app-card{width:340px;background:var(--bg-card);border-radius:16px;border:1px solid var(--border);cursor:pointer;overflow:hidden;transition:all .2s}.hub-app-card:hover{transform:translateY(-4px);box-shadow:0 8px 24px #0000004d}.hub-app-detective:hover{border-color:var(--accent)}.hub-app-sparklab:hover{border-color:#f59e0b}.hub-app-icon-wrap{height:120px;display:flex;align-items:center;justify-content:center}.hub-app-detective .hub-app-icon-wrap{background:linear-gradient(135deg,#e9456026,#9b59b626)}.hub-app-sparklab .hub-app-icon-wrap{background:linear-gradient(135deg,#f59e0b26,#06b6d426)}.hub-app-icon{font-size:48px}.hub-app-body{padding:0 20px 20px}.hub-app-body h3{font-size:17px;margin-bottom:8px}.hub-app-body p{font-size:13px;color:var(--text-muted);line-height:1.6}.hub-app-meta{display:flex;gap:12px;margin-top:12px}.hub-app-stat{font-size:12px;padding:3px 10px;border-radius:12px;background:var(--bg-input);color:var(--text-muted)}.hub-footer-note{margin-top:48px;font-size:12px;color:var(--text-muted);text-align:center;opacity:.6}.overlay{position:fixed;top:0;left:0;right:0;bottom:0;background:#0009;z-index:100;display:flex;align-items:center;justify-content:center}.crime-guide-modal{background:var(--bg-card);border-radius:16px;padding:32px;max-width:500px;width:90%;border:1px solid var(--border)}.crime-guide-modal h3{margin-bottom:20px;font-size:18px}.crime-guide-item{margin-bottom:16px}.crime-guide-item .crime-tag{font-size:14px;margin-bottom:4px;display:inline-block}.crime-guide-item p{font-size:14px;color:var(--text-muted);line-height:1.6;margin-top:4px}.crime-guide-modal .btn-primary{margin-top:8px}.investigation-panel{display:flex;gap:24px;height:calc(100vh - 120px)}.text-panel{flex:1;background:var(--bg-card);border-radius:12px;padding:24px;border:1px solid var(--border);overflow-y:auto}.text-content{font-size:16px;line-height:1.8;white-space:pre-wrap}.text-char{position:relative}.toolbar-panel{width:360px;flex-shrink:0;background:var(--bg-card);border-radius:12px;padding:20px;border:1px solid var(--border);display:flex;flex-direction:column}.toolbar-panel h3{font-size:16px;margin-bottom:4px}.toolbar-hint{font-size:12px;color:var(--text-muted);margin-bottom:12px}.toolbar{margin-bottom:12px}.tag-buttons{display:flex;gap:6px;flex-wrap:wrap}.tag-btn{padding:8px 12px;border:1px solid var(--border);border-radius:6px;background:transparent;color:var(--text);font-size:13px;cursor:pointer;transition:all .2s}.tag-btn:disabled{opacity:.4;cursor:not-allowed}.tag-btn-fact:hover:not(:disabled){border-color:var(--red);background:#e74c3c1a}.tag-btn-logic:hover:not(:disabled){border-color:var(--yellow);background:#f39c121a}.tag-btn-bias:hover:not(:disabled){border-color:var(--blue);background:#3498db1a}.selected-preview{font-size:12px;color:var(--text-muted);margin-top:6px;font-style:italic}.progress-info{font-size:12px;color:var(--text-muted);margin-top:6px}.findings-list{flex:1;overflow-y:auto;display:flex;flex-direction:column;gap:6px;margin-bottom:12px}.finding-item{display:flex;align-items:center;gap:6px;padding:8px;border-radius:8px;font-size:13px}.finding-item.type-fact{background:#e74c3c1a}.finding-item.type-logic{background:#f39c121a}.finding-item.type-bias{background:#3498db1a}.finding-type{font-size:12px;white-space:nowrap}.finding-text{flex:1;font-size:12px;color:var(--text-muted)}.submit-btn{margin-top:auto}.resolution-panel{max-width:700px;margin:0 auto}.resolution-panel h2{margin-bottom:20px}.score-summary{display:flex;gap:24px;margin-bottom:24px}.score-big{font-size:48px;font-weight:700;color:var(--accent)}.score-unit{font-size:18px;color:var(--text-muted)}.score-detail{font-size:14px;line-height:1.8}.scores-row{display:grid;grid-template-columns:1fr 1fr;gap:12px;margin-bottom:24px}.score-item{background:var(--bg-card);border-radius:8px;padding:12px;border:1px solid var(--border)}.score-label{font-size:12px;color:var(--text-muted);margin-bottom:4px}.bar-track{height:8px;background:var(--bg-input);border-radius:4px;overflow:hidden;flex:1}.bar-fill{height:100%;border-radius:4px;transition:width .5s}.score-val{font-size:14px;font-weight:600;text-align:right}.missed-section{margin-bottom:24px}.missed-section h4{margin-bottom:8px}.missed-item{display:flex;gap:8px;padding:8px;font-size:13px;border-bottom:1px solid var(--border)}.ai-audit-panel{max-width:700px;margin:0 auto}.ai-audit-panel h2{margin-bottom:20px}.fallback-msg{text-align:center;padding:40px}.fallback-msg p{margin-bottom:12px;font-size:15px}.comparison-cards{display:flex;gap:16px;margin-bottom:20px}.comparison-card{flex:1;background:var(--bg-card);border-radius:12px;padding:20px;border:1px solid var(--border)}.comparison-card h4{font-size:15px;margin-bottom:8px;display:flex;justify-content:space-between}.comparison-card .count{font-size:24px;font-weight:700;color:var(--accent)}.comparison-detail{font-size:13px;line-height:1.8}.highlight-green{color:var(--green)}.highlight-yellow{color:var(--yellow)}.proud-section{background:#2ecc711a;border-radius:12px;padding:16px;margin-bottom:16px;border:1px solid rgba(46,204,113,.3)}.proud-section h4{color:var(--green);margin-bottom:8px}.proud-item{padding:6px 0;font-size:14px;display:flex;gap:8px}.learn-section{background:#f39c121a;border-radius:12px;padding:16px;margin-bottom:16px;border:1px solid rgba(243,156,18,.3)}.learn-section h4{color:var(--yellow);margin-bottom:8px}.learn-item{padding:6px 0;font-size:14px;display:flex;gap:8px}.insight-box{background:var(--bg-card);border-radius:12px;padding:20px;margin-bottom:20px;border:1px solid var(--border)}.insight-box h4{margin-bottom:8px}.insight-box p{font-style:italic;font-size:15px;line-height:1.6}.certificate-panel{max-width:600px;margin:40px auto}.certificate-card{background:var(--bg-card);border-radius:16px;padding:40px;border:2px solid var(--accent);text-align:center}.cert-header{margin-bottom:16px}.cert-seal{font-size:64px}.cert-header h2{font-size:22px}.cert-case-title{font-size:15px;color:var(--text-muted);margin-bottom:24px}.cert-stats{display:flex;justify-content:center;gap:40px;margin-bottom:24px}.cert-stat-value{font-size:32px;font-weight:700;color:var(--accent)}.cert-stat-label{font-size:12px;color:var(--text-muted)}.cert-skills{text-align:left;margin-bottom:24px;display:flex;flex-direction:column;gap:8px}.cert-insight{background:var(--bg-input);border-radius:8px;padding:16px;margin-bottom:24px}.cert-insight p{font-size:14px;line-height:1.5}.skill-bar{display:flex;align-items:center;gap:8px}.skill-label{font-size:12px;width:60px;color:var(--text-muted)}.skill-value{font-size:12px;width:36px;text-align:right}:root{--spark-bg: #fafaf8;--spark-bg-card: #fff;--spark-accent: #f59e0b;--spark-accent-hover: #d97706;--spark-text: #1c1917;--spark-text-muted: #78716c;--spark-border: #e7e5e4;--spark-shadow: rgba(0,0,0,.06);--spark-user-msg: #fef3c7}.spark-page{min-height:100vh;background:var(--spark-bg);color:var(--spark-text)}.spark-chat-layout{display:flex;height:100vh;overflow:hidden;position:relative}.spark-fullchat{flex:1;display:flex;flex-direction:column;min-width:0}.spark-chat-topbar{display:flex;justify-content:space-between;align-items:center;padding:10px 16px;border-bottom:1px solid var(--spark-border);background:var(--spark-bg-card);flex-shrink:0}.spark-chat-topbar-left,.spark-chat-topbar-right{display:flex;align-items:center;gap:8px}.spark-chat-title{font-weight:700;font-size:15px}.spark-chat-step{font-size:12px;color:var(--spark-text-muted);padding:3px 10px;background:var(--spark-bg);border-radius:10px}.spark-icon-btn{width:32px;height:32px;border:none;border-radius:8px;background:transparent;color:var(--spark-text-muted);font-size:16px;cursor:pointer;display:flex;align-items:center;justify-content:center;transition:background .15s}.spark-icon-btn:hover{background:var(--spark-bg);color:var(--spark-text)}.spark-chat-area{flex:1;display:flex;flex-direction:column;min-height:0}.spark-chat-scroll{flex:1;overflow-y:auto}.spark-chat-inner{max-width:720px;margin:0 auto;padding:24px 20px 8px}.spark-mb{display:flex;gap:10px;margin-bottom:20px;animation:fadeIn .2s ease}@keyframes fadeIn{0%{opacity:0;transform:translateY(4px)}to{opacity:1;transform:translateY(0)}}.spark-mb-user{justify-content:flex-end}.spark-mb-ai{justify-content:flex-start}.spark-mb-avatar{width:30px;height:30px;border-radius:50%;display:flex;align-items:center;justify-content:center;font-size:16px;flex-shrink:0;background:var(--spark-bg)}.spark-mb-avatar.user-avatar{background:var(--spark-user-msg)}.spark-mb-bubble{max-width:85%;padding:12px 16px;font-size:15px;line-height:1.65;border-radius:14px;white-space:pre-wrap;word-break:break-word}.spark-mb-bubble.user{background:var(--spark-user-msg);border-bottom-right-radius:4px;color:var(--spark-text)}.spark-mb-bubble.ai{background:var(--spark-bg-card);border:1px solid var(--spark-border);border-bottom-left-radius:4px;box-shadow:0 1px 2px var(--spark-shadow)}.spark-mb-bubble.streaming{border-color:var(--spark-accent)}.spark-mb-html{line-height:1.65}.spark-mb-html .katex-display{overflow-x:auto;overflow-y:hidden;padding:8px 0}.latex-error{color:#ef4444;font-size:13px}.spark-thinking-box{max-width:85%;background:#f0ede8;border-radius:10px;border:1px solid var(--spark-border);font-size:13px}.spark-thinking-box summary{padding:8px 12px;cursor:pointer;color:#78716c;font-size:12px;-webkit-user-select:none;user-select:none;border-radius:10px}.spark-thinking-box summary:hover{background:#00000008}.spark-thinking-box[open] summary{border-bottom:1px solid var(--spark-border);border-radius:10px 10px 0 0}.spark-thinking-content{padding:8px 12px 12px;margin:0;white-space:pre-wrap;word-break:break-word;font-family:inherit;font-size:12px;color:#78716c;line-height:1.5;max-height:240px;overflow-y:auto}.spark-cursor{display:inline-block;animation:blink .8s infinite;color:var(--spark-accent);font-weight:700}@keyframes blink{0%,to{opacity:1}50%{opacity:0}}.spark-welcome-msg{text-align:center;padding:48px 20px 32px}.spark-welcome-icon{font-size:56px;margin-bottom:12px}.spark-welcome-msg h3{font-size:20px;margin-bottom:8px}.spark-welcome-msg p{font-size:15px;color:var(--spark-text-muted);max-width:500px;margin:0 auto;line-height:1.6}.spark-chat-input-wrapper{flex-shrink:0;padding:0 20px 12px}.spark-err-msg{text-align:center;font-size:13px;color:#ef4444;margin-bottom:6px}.spark-chat-input-bar{display:flex;gap:8px;max-width:720px;margin:0 auto;background:var(--spark-bg-card);border:1px solid var(--spark-border);border-radius:14px;padding:6px 6px 6px 16px;box-shadow:0 2px 8px #0000000a;transition:border-color .2s,box-shadow .2s}.spark-chat-input-bar:focus-within{border-color:var(--spark-accent);box-shadow:0 2px 12px #f59e0b1a}.spark-chat-input{flex:1;border:none;outline:none;font-size:15px;background:transparent;color:var(--spark-text);padding:10px 0}.spark-chat-input::placeholder{color:#a8a29e}.spark-send-btn{width:38px;height:38px;border:none;border-radius:10px;background:var(--spark-accent);color:#fff;font-size:18px;cursor:pointer;display:flex;align-items:center;justify-content:center;transition:background .15s;flex-shrink:0}.spark-send-btn:hover:not(:disabled){background:var(--spark-accent-hover)}.spark-send-btn:disabled{opacity:.3;cursor:not-allowed}.spark-chat-footer-hint{text-align:center;font-size:11px;color:#a8a29e;margin-top:6px}.spark-right-panel{width:280px;flex-shrink:0;background:var(--spark-bg-card);border-left:1px solid var(--spark-border);display:flex;flex-direction:column}.spark-right-header{display:flex;justify-content:space-between;align-items:center;padding:14px 16px;border-bottom:1px solid var(--spark-border)}.spark-right-header h4{font-size:14px;color:var(--spark-text-muted)}.spark-right-body{flex:1;overflow-y:auto;padding:16px}.spark-big-score{font-size:42px;font-weight:700;color:var(--spark-accent);text-align:center;padding:8px 0 16px}.spark-score-bars{display:flex;flex-direction:column;gap:8px}.spark-score-bar{display:flex;align-items:center;gap:8px}.spark-score-label{font-size:11px;width:64px;color:var(--spark-text-muted);flex-shrink:0}.spark-bar-track{flex:1;height:6px;background:#f0ede8;border-radius:3px;overflow:hidden}.spark-bar-fill{height:100%;border-radius:3px;transition:width .5s}.spark-score-val{font-size:12px;width:24px;text-align:right;font-weight:600}.spark-step-progress{display:flex;flex-direction:column;gap:4px}.spark-step-dot{display:flex;align-items:center;gap:8px;padding:6px;border-radius:6px;font-size:12px}.spark-step-dot.done{color:var(--spark-text-muted)}.spark-step-dot.done .spark-step-num{background:#22c55e}.spark-step-dot.active{background:#fef3c7;font-weight:600}.spark-step-dot.active .spark-step-num{background:var(--spark-accent)}.spark-step-dot .spark-step-num{width:20px;height:20px;border-radius:50%;background:#e7e5e4;color:#fff;font-size:11px;font-weight:700;display:flex;align-items:center;justify-content:center;flex-shrink:0}.spark-step-dot .spark-step-label{flex:1}.spark-drawer-overlay{position:fixed;top:0;right:0;bottom:0;left:0;background:#0000004d;z-index:100;display:flex}.spark-drawer.left{width:300px;max-width:80vw;height:100%;background:var(--spark-bg-card);display:flex;flex-direction:column;animation:slideIn .2s ease}@keyframes slideIn{0%{transform:translate(-100%)}to{transform:translate(0)}}.spark-drawer-header{display:flex;justify-content:space-between;align-items:center;padding:16px;border-bottom:1px solid var(--spark-border)}.spark-drawer-header h4{font-size:15px}.spark-drawer-body{flex:1;overflow-y:auto;padding:12px}.spark-mini-ideas{display:flex;flex-direction:column;gap:6px}.spark-mini-idea{padding:12px;border-radius:10px;cursor:pointer;border:1px solid transparent;transition:all .15s}.spark-mini-idea:hover{background:var(--spark-bg)}.spark-mini-idea.active{background:#fef3c7;border-color:var(--spark-accent)}.spark-mini-idea-title{font-size:14px;font-weight:600;margin-bottom:4px}.spark-mini-idea-meta{font-size:12px;color:var(--spark-text-muted)}.spark-loading-screen{display:flex;flex-direction:column;align-items:center;justify-content:center;height:100vh;gap:12px}.spark-loading-spinner{font-size:48px;animation:spin 1s linear infinite}@keyframes spin{0%{transform:rotate(0)}to{transform:rotate(360deg)}}.spark-topbar{display:flex;justify-content:space-between;align-items:center;padding:10px 20px;background:var(--spark-bg-card);border-bottom:1px solid var(--spark-border)}.spark-logo{font-size:22px;margin-right:8px}.spark-title{font-size:16px;font-weight:700;color:var(--spark-accent);margin-right:12px}.spark-subtitle{font-size:12px;color:var(--spark-text-muted)}.spark-topbar-right{display:flex;align-items:center;gap:10px}.spark-user{font-size:13px;color:var(--spark-text-muted)}.spark-btn-sm{padding:5px 12px;border:1px solid var(--spark-border);border-radius:6px;background:var(--spark-bg-card);color:var(--spark-text);font-size:12px;cursor:pointer;transition:all .15s}.spark-btn-sm:hover{border-color:var(--spark-accent);color:var(--spark-accent)}.spark-btn-primary{padding:10px 20px;border:none;border-radius:10px;background:var(--spark-accent);color:#fff;font-size:15px;font-weight:600;cursor:pointer;transition:background .15s}.spark-btn-primary:hover{background:var(--spark-accent-hover)}.spark-body{display:flex;flex:1;height:calc(100vh - 50px)}.spark-sidebar{width:280px;flex-shrink:0;background:#f5f2ed;border-right:1px solid var(--spark-border);padding:16px;display:flex;flex-direction:column;gap:12px}.spark-btn-new{width:100%}.spark-idea-list{flex:1;overflow-y:auto;display:flex;flex-direction:column;gap:8px}.spark-idea-card{background:var(--spark-bg-card);border-radius:10px;padding:12px;border:1px solid var(--spark-border);cursor:pointer;transition:all .15s}.spark-idea-card:hover{border-color:var(--spark-accent);box-shadow:0 2px 8px #0000000f}.spark-idea-card.exploring{border-left:3px solid #8b5cf6}.spark-idea-title{font-size:14px;font-weight:600;margin-bottom:6px}.spark-idea-meta{display:flex;align-items:center;gap:6px;font-size:11px}.spark-step-badge{padding:2px 6px;border-radius:4px;background:#f5f2ed}.spark-score-badge{padding:2px 6px;border-radius:4px;background:#fef3c7;color:#92400e;font-weight:600}.spark-idea-hint{font-size:11px;color:var(--spark-text-muted);margin-top:4px}.spark-btn-delete{margin-left:auto;border:none;background:none;color:var(--spark-text-muted);cursor:pointer;font-size:12px}.spark-btn-delete:hover{color:#ef4444}.spark-main{flex:1;display:flex;align-items:center;justify-content:center}.spark-welcome{text-align:center;max-width:480px;padding:40px}.spark-welcome-icon{font-size:56px;display:block;margin-bottom:16px}.spark-welcome h2{font-size:24px;margin-bottom:8px}.spark-welcome-desc{color:var(--spark-text-muted);margin-bottom:24px}.spark-steps-guide{background:var(--spark-bg-card);border-radius:12px;padding:20px;margin-bottom:24px;border:1px solid var(--spark-border);text-align:left}.spark-steps-guide h4{font-size:14px;margin-bottom:12px;color:var(--spark-accent)}.spark-steps{display:grid;grid-template-columns:1fr 1fr 1fr;gap:6px}.spark-step-guide-item{display:flex;align-items:center;gap:6px;font-size:13px;padding:6px 8px;background:#f5f2ed;border-radius:6px}.spark-btn-big{padding:14px 32px;font-size:16px}@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{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:"0.16.46"}.katex .katex-mathml{border:0;-webkit-clip-path:inset(50%);clip-path:inset(50%);height:1px;overflow:hidden;padding:0;position:absolute;width:1px}.katex .katex-html>.newline{display:block}.katex .base{position:relative;white-space:nowrap;width:-webkit-min-content;width:-moz-min-content;width:min-content}.katex .base,.katex .strut{display:inline-block}.katex .textbf{font-weight:700}.katex .textit{font-style:italic}.katex .textrm{font-family:KaTeX_Main}.katex .textsf{font-family:KaTeX_SansSerif}.katex .texttt{font-family:KaTeX_Typewriter}.katex .mathnormal{font-family:KaTeX_Math;font-style:italic}.katex .mathit{font-family:KaTeX_Main;font-style:italic}.katex .mathrm{font-style:normal}.katex .mathbf{font-family:KaTeX_Main;font-weight:700}.katex .boldsymbol{font-family:KaTeX_Math;font-style:italic;font-weight:700}.katex .amsrm,.katex .mathbb,.katex .textbb{font-family:KaTeX_AMS}.katex .mathcal{font-family:KaTeX_Caligraphic}.katex .mathfrak,.katex .textfrak{font-family:KaTeX_Fraktur}.katex .mathboldfrak,.katex .textboldfrak{font-family:KaTeX_Fraktur;font-weight:700}.katex .mathtt{font-family:KaTeX_Typewriter}.katex .mathscr,.katex .textscr{font-family:KaTeX_Script}.katex .mathsf,.katex .textsf{font-family:KaTeX_SansSerif}.katex .mathboldsf,.katex .textboldsf{font-family:KaTeX_SansSerif;font-weight:700}.katex .mathitsf,.katex .mathsfit,.katex .textitsf{font-family:KaTeX_SansSerif;font-style:italic}.katex .mainrm{font-family:KaTeX_Main;font-style:normal}.katex .vlist-t{border-collapse:collapse;display:inline-table;table-layout:fixed}.katex .vlist-r{display:table-row}.katex .vlist{display:table-cell;position:relative;vertical-align:bottom}.katex .vlist>span{display:block;height:0;position:relative}.katex .vlist>span>span{display:inline-block}.katex .vlist>span>.pstrut{overflow:hidden;width:0}.katex .vlist-t2{margin-right:-2px}.katex .vlist-s{display:table-cell;font-size:1px;min-width:2px;vertical-align:bottom;width:2px}.katex .vbox{align-items:baseline;display:inline-flex;flex-direction:column}.katex .hbox{width:100%}.katex .hbox,.katex .thinbox{display:inline-flex;flex-direction:row}.katex .thinbox{max-width:0;width:0}.katex .msupsub{text-align:left}.katex .mfrac>span>span{text-align:center}.katex .mfrac .frac-line{border-bottom-style:solid;display:inline-block;width:100%}.katex .hdashline,.katex .hline,.katex .mfrac .frac-line,.katex .overline .overline-line,.katex .rule,.katex .underline .underline-line{min-height:1px}.katex .mspace{display:inline-block}.katex .smash{display:inline;line-height:0}.katex .clap,.katex .llap,.katex .rlap{position:relative;width:0}.katex .clap>.inner,.katex .llap>.inner,.katex .rlap>.inner{position:absolute}.katex .clap>.fix,.katex .llap>.fix,.katex .rlap>.fix{display:inline-block}.katex .llap>.inner{right:0}.katex .clap>.inner,.katex .rlap>.inner{left:0}.katex .clap>.inner>span{margin-left:-50%;margin-right:50%}.katex .rule{border:0 solid;display:inline-block;position:relative}.katex .hline,.katex .overline .overline-line,.katex .underline .underline-line{border-bottom-style:solid;display:inline-block;width:100%}.katex .hdashline{border-bottom-style:dashed;display:inline-block;width:100%}.katex .sqrt>.root{margin-left:.2777777778em;margin-right:-.5555555556em}.katex .fontsize-ensurer.reset-size1.size1,.katex .sizing.reset-size1.size1{font-size:1em}.katex .fontsize-ensurer.reset-size1.size2,.katex .sizing.reset-size1.size2{font-size:1.2em}.katex .fontsize-ensurer.reset-size1.size3,.katex .sizing.reset-size1.size3{font-size:1.4em}.katex .fontsize-ensurer.reset-size1.size4,.katex .sizing.reset-size1.size4{font-size:1.6em}.katex .fontsize-ensurer.reset-size1.size5,.katex .sizing.reset-size1.size5{font-size:1.8em}.katex .fontsize-ensurer.reset-size1.size6,.katex .sizing.reset-size1.size6{font-size:2em}.katex .fontsize-ensurer.reset-size1.size7,.katex .sizing.reset-size1.size7{font-size:2.4em}.katex .fontsize-ensurer.reset-size1.size8,.katex .sizing.reset-size1.size8{font-size:2.88em}.katex .fontsize-ensurer.reset-size1.size9,.katex .sizing.reset-size1.size9{font-size:3.456em}.katex .fontsize-ensurer.reset-size1.size10,.katex .sizing.reset-size1.size10{font-size:4.148em}.katex .fontsize-ensurer.reset-size1.size11,.katex .sizing.reset-size1.size11{font-size:4.976em}.katex .fontsize-ensurer.reset-size2.size1,.katex .sizing.reset-size2.size1{font-size:.8333333333em}.katex .fontsize-ensurer.reset-size2.size2,.katex .sizing.reset-size2.size2{font-size:1em}.katex .fontsize-ensurer.reset-size2.size3,.katex .sizing.reset-size2.size3{font-size:1.1666666667em}.katex .fontsize-ensurer.reset-size2.size4,.katex .sizing.reset-size2.size4{font-size:1.3333333333em}.katex .fontsize-ensurer.reset-size2.size5,.katex .sizing.reset-size2.size5{font-size:1.5em}.katex .fontsize-ensurer.reset-size2.size6,.katex .sizing.reset-size2.size6{font-size:1.6666666667em}.katex .fontsize-ensurer.reset-size2.size7,.katex .sizing.reset-size2.size7{font-size:2em}.katex .fontsize-ensurer.reset-size2.size8,.katex .sizing.reset-size2.size8{font-size:2.4em}.katex .fontsize-ensurer.reset-size2.size9,.katex .sizing.reset-size2.size9{font-size:2.88em}.katex .fontsize-ensurer.reset-size2.size10,.katex .sizing.reset-size2.size10{font-size:3.4566666667em}.katex .fontsize-ensurer.reset-size2.size11,.katex .sizing.reset-size2.size11{font-size:4.1466666667em}.katex .fontsize-ensurer.reset-size3.size1,.katex .sizing.reset-size3.size1{font-size:.7142857143em}.katex .fontsize-ensurer.reset-size3.size2,.katex .sizing.reset-size3.size2{font-size:.8571428571em}.katex .fontsize-ensurer.reset-size3.size3,.katex .sizing.reset-size3.size3{font-size:1em}.katex .fontsize-ensurer.reset-size3.size4,.katex .sizing.reset-size3.size4{font-size:1.1428571429em}.katex .fontsize-ensurer.reset-size3.size5,.katex .sizing.reset-size3.size5{font-size:1.2857142857em}.katex .fontsize-ensurer.reset-size3.size6,.katex .sizing.reset-size3.size6{font-size:1.4285714286em}.katex .fontsize-ensurer.reset-size3.size7,.katex .sizing.reset-size3.size7{font-size:1.7142857143em}.katex .fontsize-ensurer.reset-size3.size8,.katex .sizing.reset-size3.size8{font-size:2.0571428571em}.katex .fontsize-ensurer.reset-size3.size9,.katex .sizing.reset-size3.size9{font-size:2.4685714286em}.katex .fontsize-ensurer.reset-size3.size10,.katex .sizing.reset-size3.size10{font-size:2.9628571429em}.katex .fontsize-ensurer.reset-size3.size11,.katex .sizing.reset-size3.size11{font-size:3.5542857143em}.katex .fontsize-ensurer.reset-size4.size1,.katex .sizing.reset-size4.size1{font-size:.625em}.katex .fontsize-ensurer.reset-size4.size2,.katex .sizing.reset-size4.size2{font-size:.75em}.katex .fontsize-ensurer.reset-size4.size3,.katex .sizing.reset-size4.size3{font-size:.875em}.katex .fontsize-ensurer.reset-size4.size4,.katex .sizing.reset-size4.size4{font-size:1em}.katex .fontsize-ensurer.reset-size4.size5,.katex .sizing.reset-size4.size5{font-size:1.125em}.katex .fontsize-ensurer.reset-size4.size6,.katex .sizing.reset-size4.size6{font-size:1.25em}.katex .fontsize-ensurer.reset-size4.size7,.katex .sizing.reset-size4.size7{font-size:1.5em}.katex .fontsize-ensurer.reset-size4.size8,.katex .sizing.reset-size4.size8{font-size:1.8em}.katex .fontsize-ensurer.reset-size4.size9,.katex .sizing.reset-size4.size9{font-size:2.16em}.katex .fontsize-ensurer.reset-size4.size10,.katex .sizing.reset-size4.size10{font-size:2.5925em}.katex .fontsize-ensurer.reset-size4.size11,.katex .sizing.reset-size4.size11{font-size:3.11em}.katex .fontsize-ensurer.reset-size5.size1,.katex .sizing.reset-size5.size1{font-size:.5555555556em}.katex .fontsize-ensurer.reset-size5.size2,.katex .sizing.reset-size5.size2{font-size:.6666666667em}.katex .fontsize-ensurer.reset-size5.size3,.katex .sizing.reset-size5.size3{font-size:.7777777778em}.katex .fontsize-ensurer.reset-size5.size4,.katex .sizing.reset-size5.size4{font-size:.8888888889em}.katex .fontsize-ensurer.reset-size5.size5,.katex .sizing.reset-size5.size5{font-size:1em}.katex .fontsize-ensurer.reset-size5.size6,.katex .sizing.reset-size5.size6{font-size:1.1111111111em}.katex .fontsize-ensurer.reset-size5.size7,.katex .sizing.reset-size5.size7{font-size:1.3333333333em}.katex .fontsize-ensurer.reset-size5.size8,.katex .sizing.reset-size5.size8{font-size:1.6em}.katex .fontsize-ensurer.reset-size5.size9,.katex .sizing.reset-size5.size9{font-size:1.92em}.katex .fontsize-ensurer.reset-size5.size10,.katex .sizing.reset-size5.size10{font-size:2.3044444444em}.katex .fontsize-ensurer.reset-size5.size11,.katex .sizing.reset-size5.size11{font-size:2.7644444444em}.katex .fontsize-ensurer.reset-size6.size1,.katex .sizing.reset-size6.size1{font-size:.5em}.katex .fontsize-ensurer.reset-size6.size2,.katex .sizing.reset-size6.size2{font-size:.6em}.katex .fontsize-ensurer.reset-size6.size3,.katex .sizing.reset-size6.size3{font-size:.7em}.katex .fontsize-ensurer.reset-size6.size4,.katex .sizing.reset-size6.size4{font-size:.8em}.katex .fontsize-ensurer.reset-size6.size5,.katex .sizing.reset-size6.size5{font-size:.9em}.katex .fontsize-ensurer.reset-size6.size6,.katex .sizing.reset-size6.size6{font-size:1em}.katex .fontsize-ensurer.reset-size6.size7,.katex .sizing.reset-size6.size7{font-size:1.2em}.katex .fontsize-ensurer.reset-size6.size8,.katex .sizing.reset-size6.size8{font-size:1.44em}.katex .fontsize-ensurer.reset-size6.size9,.katex .sizing.reset-size6.size9{font-size:1.728em}.katex .fontsize-ensurer.reset-size6.size10,.katex .sizing.reset-size6.size10{font-size:2.074em}.katex .fontsize-ensurer.reset-size6.size11,.katex .sizing.reset-size6.size11{font-size:2.488em}.katex .fontsize-ensurer.reset-size7.size1,.katex .sizing.reset-size7.size1{font-size:.4166666667em}.katex .fontsize-ensurer.reset-size7.size2,.katex .sizing.reset-size7.size2{font-size:.5em}.katex .fontsize-ensurer.reset-size7.size3,.katex .sizing.reset-size7.size3{font-size:.5833333333em}.katex .fontsize-ensurer.reset-size7.size4,.katex .sizing.reset-size7.size4{font-size:.6666666667em}.katex .fontsize-ensurer.reset-size7.size5,.katex .sizing.reset-size7.size5{font-size:.75em}.katex .fontsize-ensurer.reset-size7.size6,.katex .sizing.reset-size7.size6{font-size:.8333333333em}.katex .fontsize-ensurer.reset-size7.size7,.katex .sizing.reset-size7.size7{font-size:1em}.katex .fontsize-ensurer.reset-size7.size8,.katex .sizing.reset-size7.size8{font-size:1.2em}.katex .fontsize-ensurer.reset-size7.size9,.katex .sizing.reset-size7.size9{font-size:1.44em}.katex .fontsize-ensurer.reset-size7.size10,.katex .sizing.reset-size7.size10{font-size:1.7283333333em}.katex .fontsize-ensurer.reset-size7.size11,.katex .sizing.reset-size7.size11{font-size:2.0733333333em}.katex .fontsize-ensurer.reset-size8.size1,.katex .sizing.reset-size8.size1{font-size:.3472222222em}.katex .fontsize-ensurer.reset-size8.size2,.katex .sizing.reset-size8.size2{font-size:.4166666667em}.katex .fontsize-ensurer.reset-size8.size3,.katex .sizing.reset-size8.size3{font-size:.4861111111em}.katex .fontsize-ensurer.reset-size8.size4,.katex .sizing.reset-size8.size4{font-size:.5555555556em}.katex .fontsize-ensurer.reset-size8.size5,.katex .sizing.reset-size8.size5{font-size:.625em}.katex .fontsize-ensurer.reset-size8.size6,.katex .sizing.reset-size8.size6{font-size:.6944444444em}.katex .fontsize-ensurer.reset-size8.size7,.katex .sizing.reset-size8.size7{font-size:.8333333333em}.katex .fontsize-ensurer.reset-size8.size8,.katex .sizing.reset-size8.size8{font-size:1em}.katex .fontsize-ensurer.reset-size8.size9,.katex .sizing.reset-size8.size9{font-size:1.2em}.katex .fontsize-ensurer.reset-size8.size10,.katex .sizing.reset-size8.size10{font-size:1.4402777778em}.katex .fontsize-ensurer.reset-size8.size11,.katex .sizing.reset-size8.size11{font-size:1.7277777778em}.katex .fontsize-ensurer.reset-size9.size1,.katex .sizing.reset-size9.size1{font-size:.2893518519em}.katex .fontsize-ensurer.reset-size9.size2,.katex .sizing.reset-size9.size2{font-size:.3472222222em}.katex .fontsize-ensurer.reset-size9.size3,.katex .sizing.reset-size9.size3{font-size:.4050925926em}.katex .fontsize-ensurer.reset-size9.size4,.katex .sizing.reset-size9.size4{font-size:.462962963em}.katex .fontsize-ensurer.reset-size9.size5,.katex .sizing.reset-size9.size5{font-size:.5208333333em}.katex .fontsize-ensurer.reset-size9.size6,.katex .sizing.reset-size9.size6{font-size:.5787037037em}.katex .fontsize-ensurer.reset-size9.size7,.katex .sizing.reset-size9.size7{font-size:.6944444444em}.katex .fontsize-ensurer.reset-size9.size8,.katex .sizing.reset-size9.size8{font-size:.8333333333em}.katex .fontsize-ensurer.reset-size9.size9,.katex .sizing.reset-size9.size9{font-size:1em}.katex .fontsize-ensurer.reset-size9.size10,.katex .sizing.reset-size9.size10{font-size:1.2002314815em}.katex .fontsize-ensurer.reset-size9.size11,.katex .sizing.reset-size9.size11{font-size:1.4398148148em}.katex .fontsize-ensurer.reset-size10.size1,.katex .sizing.reset-size10.size1{font-size:.2410800386em}.katex .fontsize-ensurer.reset-size10.size2,.katex .sizing.reset-size10.size2{font-size:.2892960463em}.katex .fontsize-ensurer.reset-size10.size3,.katex .sizing.reset-size10.size3{font-size:.337512054em}.katex .fontsize-ensurer.reset-size10.size4,.katex .sizing.reset-size10.size4{font-size:.3857280617em}.katex .fontsize-ensurer.reset-size10.size5,.katex .sizing.reset-size10.size5{font-size:.4339440694em}.katex .fontsize-ensurer.reset-size10.size6,.katex .sizing.reset-size10.size6{font-size:.4821600771em}.katex .fontsize-ensurer.reset-size10.size7,.katex .sizing.reset-size10.size7{font-size:.5785920926em}.katex .fontsize-ensurer.reset-size10.size8,.katex .sizing.reset-size10.size8{font-size:.6943105111em}.katex .fontsize-ensurer.reset-size10.size9,.katex .sizing.reset-size10.size9{font-size:.8331726133em}.katex .fontsize-ensurer.reset-size10.size10,.katex .sizing.reset-size10.size10{font-size:1em}.katex .fontsize-ensurer.reset-size10.size11,.katex .sizing.reset-size10.size11{font-size:1.1996142719em}.katex .fontsize-ensurer.reset-size11.size1,.katex .sizing.reset-size11.size1{font-size:.2009646302em}.katex .fontsize-ensurer.reset-size11.size2,.katex .sizing.reset-size11.size2{font-size:.2411575563em}.katex .fontsize-ensurer.reset-size11.size3,.katex .sizing.reset-size11.size3{font-size:.2813504823em}.katex .fontsize-ensurer.reset-size11.size4,.katex .sizing.reset-size11.size4{font-size:.3215434084em}.katex .fontsize-ensurer.reset-size11.size5,.katex .sizing.reset-size11.size5{font-size:.3617363344em}.katex .fontsize-ensurer.reset-size11.size6,.katex .sizing.reset-size11.size6{font-size:.4019292605em}.katex .fontsize-ensurer.reset-size11.size7,.katex .sizing.reset-size11.size7{font-size:.4823151125em}.katex .fontsize-ensurer.reset-size11.size8,.katex .sizing.reset-size11.size8{font-size:.578778135em}.katex .fontsize-ensurer.reset-size11.size9,.katex .sizing.reset-size11.size9{font-size:.6945337621em}.katex .fontsize-ensurer.reset-size11.size10,.katex .sizing.reset-size11.size10{font-size:.8336012862em}.katex .fontsize-ensurer.reset-size11.size11,.katex .sizing.reset-size11.size11{font-size:1em}.katex .delimsizing.size1{font-family:KaTeX_Size1}.katex .delimsizing.size2{font-family:KaTeX_Size2}.katex .delimsizing.size3{font-family:KaTeX_Size3}.katex .delimsizing.size4{font-family:KaTeX_Size4}.katex .delimsizing.mult .delim-size1>span{font-family:KaTeX_Size1}.katex .delimsizing.mult .delim-size4>span{font-family:KaTeX_Size4}.katex .nulldelimiter{display:inline-block;width:.12em}.katex .delimcenter,.katex .op-symbol{position:relative}.katex .op-symbol.small-op{font-family:KaTeX_Size1}.katex .op-symbol.large-op{font-family:KaTeX_Size2}.katex .accent>.vlist-t,.katex .op-limits>.vlist-t{text-align:center}.katex .accent .accent-body{position:relative}.katex .accent .accent-body:not(.accent-full){width:0}.katex .overlay{display:block}.katex .mtable .vertical-separator{display:inline-block;min-width:1px}.katex .mtable .arraycolsep{display:inline-block}.katex .mtable .col-align-c>.vlist-t{text-align:center}.katex .mtable .col-align-l>.vlist-t{text-align:left}.katex .mtable .col-align-r>.vlist-t{text-align:right}.katex .svg-align{text-align:left}.katex svg{fill:currentColor;stroke:currentColor;display:block;height:inherit;position:absolute;width:100%}.katex svg path{stroke:none}.katex svg{fill-rule:nonzero;fill-opacity:1;stroke-width:1;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:4;stroke-dasharray:none;stroke-dashoffset:0;stroke-opacity:1}.katex img{border-style:none;max-height:none;max-width:none;min-height:0;min-width:0}.katex .stretchy{display:block;overflow:hidden;position:relative;width:100%}.katex .stretchy:after,.katex .stretchy:before{content:""}.katex .hide-tail{overflow:hidden;position:relative;width:100%}.katex .halfarrow-left{left:0;overflow:hidden;position:absolute;width:50.2%}.katex .halfarrow-right{overflow:hidden;position:absolute;right:0;width:50.2%}.katex .brace-left{left:0;overflow:hidden;position:absolute;width:25.1%}.katex .brace-center{left:25%;overflow:hidden;position:absolute;width:50%}.katex .brace-right{overflow:hidden;position:absolute;right:0;width:25.1%}.katex .x-arrow-pad{padding:0 .5em}.katex .cd-arrow-pad{padding:0 .55556em 0 .27778em}.katex .mover,.katex .munder,.katex .x-arrow{text-align:center}.katex .boxpad{padding:0 .3em}.katex .fbox,.katex .fcolorbox{border:.04em solid;box-sizing:border-box}.katex .cancel-pad{padding:0 .2em}.katex .cancel-lap{margin-left:-.2em;margin-right:-.2em}.katex .sout{border-bottom-style:solid;border-bottom-width:.08em}.katex .angl{border-right:.049em solid;border-top:.049em solid;box-sizing:border-box;margin-right:.03889em}.katex .anglpad{padding:0 .03889em}.katex .eqn-num:before{content:"(" counter(katexEqnNo) ")";counter-increment:katexEqnNo}.katex .mml-eqn-num:before{content:"(" counter(mmlEqnNo) ")";counter-increment:mmlEqnNo}.katex .mtr-glue{width:50%}.katex .cd-vert-arrow{display:inline-block;position:relative}.katex .cd-label-left{display:inline-block;position:absolute;right:calc(50% + .3em);text-align:left}.katex .cd-label-right{display:inline-block;left:calc(50% + .3em);position:absolute;text-align:right}.katex-display{display:block;margin:1em 0;text-align:center}.katex-display>.katex{display:block;text-align:center;white-space:nowrap}.katex-display>.katex>.katex-html{display:block;position:relative}.katex-display>.katex>.katex-html>.tag{position:absolute;right:0}.katex-display.leqno>.katex>.katex-html>.tag{left:0;right:auto}.katex-display.fleqn>.katex{padding-left:2em;text-align:left}body{counter-reset:katexEqnNo mmlEqnNo}
