:root{--bg:#f5f6f8;--card:#fff;--text:#1c1e21;--muted:#6b7280;--primary:#2563eb;--primary-dark:#1d4ed8;--border:#e5e7eb;--success:#16a34a;--success-bg:#f0fdf4;--error:#dc2626;--error-bg:#fef2f2;font-family:-apple-system,BlinkMacSystemFont,Segoe UI,Malgun Gothic,Roboto,sans-serif}*{box-sizing:border-box}body{background:var(--bg);color:var(--text);margin:0}.app-shell{min-height:100vh}.top-nav{border-bottom:1px solid var(--border);background:var(--card);justify-content:space-between;align-items:center;gap:16px;padding:14px 20px;display:flex}.brand{color:var(--text);font-size:16px;font-weight:700;text-decoration:none}.top-nav-user{align-items:center;gap:12px;display:flex}.top-nav-name{font-size:13px}.admin-link{margin-left:8px;font-weight:700}.top-nav-user button{margin-top:0}.app-main{max-width:1200px;margin:0 auto;padding:32px 32px 100px}.reading-column{max-width:960px;margin:0 auto}.unit-detail-shell{max-width:1180px;margin:0 auto}.page-header{margin-bottom:20px}.page-header h1{margin:0 0 6px;font-size:22px}.slide-stage{flex-direction:column;justify-content:center;min-height:520px;display:flex}.slide-stage .card{border:1px solid var(--border);border-radius:20px;padding:40px 48px;box-shadow:0 8px 30px #0f172a0f}.slide-stage .page-header h1{letter-spacing:-.01em;font-size:38px}.slide-stage .page-header{margin-bottom:28px}.slide-stage .card h2{margin:0 0 22px;font-size:27px}.slide-stage .muted,.slide-stage .hook,.slide-stage .card li,.slide-stage .definition-text,.slide-stage .example-text,.slide-stage .personal-note-text{font-size:17px;line-height:1.7}.slide-stage .hook{margin-top:16px}.slide-stage .card ul{padding-left:24px}.slide-stage .card li{margin-bottom:12px}.slide-stage .definition-box{margin-bottom:20px;padding:16px 20px}.slide-stage .example-box{padding:18px 22px}.slide-stage .definition-label,.slide-stage .example-label,.slide-stage .personal-note-label{font-size:13px}.concept-slide-body{flex-direction:column;gap:20px;display:flex}.concept-slide-main ul{margin:0}.concept-slide-side .example-box{margin-top:0}.personal-note{background:#fff7ed;border:1px dashed #fb923c;border-radius:12px;margin-top:20px;padding:14px 18px}.personal-note-label{color:#c2410c;text-transform:uppercase;letter-spacing:.03em;margin:0 0 6px;font-weight:700}.personal-note-text{color:var(--text);margin:0}.concept-details{background:#f5f3ff;border:1px solid #ddd6fe;border-radius:12px;margin-top:20px;padding:4px 20px}.concept-details-summary{cursor:pointer;color:#6d28d9;-webkit-user-select:none;user-select:none;padding:12px 0;font-weight:700;list-style:none}.concept-details-summary::-webkit-details-marker{display:none}.concept-details-summary:before{content:"▶";margin-right:8px;font-size:11px;transition:transform .15s;display:inline-block}.concept-details[open] .concept-details-summary:before{transform:rotate(90deg)}.concept-details-body{padding:0 0 16px}.concept-details-text{white-space:pre-wrap;color:var(--text);margin:0;line-height:1.7}.concept-details-body .keypoint-table-block{margin-top:14px}.slide-stage .concept-details-text{font-size:16px}.inline-jamovi{background:#f0fdfa;border:1px solid #99f6e4;border-radius:12px;margin-top:20px;padding:4px 20px}.inline-jamovi-summary{cursor:pointer;color:#0f766e;-webkit-user-select:none;user-select:none;padding:12px 0;font-weight:700;list-style:none}.inline-jamovi-summary::-webkit-details-marker{display:none}.inline-jamovi-summary:before{content:"▶";margin-right:8px;font-size:11px;transition:transform .15s;display:inline-block}.inline-jamovi[open] .inline-jamovi-summary:before{transform:rotate(90deg)}.inline-jamovi-body{padding:0 0 18px}.paper-connection{background:#eff6ff;border:1px solid #bfdbfe;border-radius:12px;margin-top:20px;padding:16px 20px}.paper-connection-label{color:var(--primary-dark);text-transform:uppercase;letter-spacing:.03em;margin:0 0 8px;font-size:13px;font-weight:700}.paper-connection-summary{color:var(--text);margin:0 0 8px}.paper-connection-citation{color:var(--muted);margin:0;font-size:13px;font-style:italic}.slide-stage .paper-connection-summary{font-size:17px;line-height:1.7}.box-compare{flex-wrap:wrap;justify-content:center;gap:48px;margin:8px 0 16px;display:flex}.box-compare-group{flex-direction:column;align-items:center;display:flex}.box-compare-group-label{color:var(--muted);text-transform:uppercase;letter-spacing:.04em;margin:0 0 18px;font-size:13px;font-weight:600}.box-compare-row{align-items:flex-end;gap:24px;display:flex}.box-compare-item{flex-direction:column;align-items:center;display:flex}.box-compare-rect{opacity:.82;border-radius:6px}.box-compare-item-label{color:var(--text);margin:8px 0 2px;font-size:12px;font-weight:500}.box-compare-item-value{color:var(--muted);margin:0;font-size:13px}.scatter-panel-grid{grid-template-columns:repeat(auto-fit,minmax(160px,1fr));gap:16px;width:100%;display:grid}.scatter-panel-item{text-align:center}.scatter-panel-item svg{background:#fafafa;border-radius:8px}.scatter-panel-label{margin:6px 0 0;font-size:12px;font-weight:500}.scatter-panel-stat{color:var(--muted);margin:2px 0 0;font-size:12px}.matrix-table{border-collapse:separate;border-spacing:6px;max-width:100%}.matrix-corner{border:none}.matrix-col-header,.matrix-row-header{color:var(--muted);text-align:center;white-space:nowrap;padding:8px 14px;font-size:13px;font-weight:500}.matrix-row-header{text-align:right}.matrix-cell{border:1px solid var(--border);text-align:center;border-radius:8px;min-width:140px;padding:16px 20px;font-size:14px;font-weight:500}.muted{color:var(--muted);margin:0;font-size:14px}.hook{color:var(--primary-dark);margin-top:10px;font-size:14px;font-style:italic}.card{background:var(--card);border:1px solid var(--border);border-radius:12px;margin-bottom:16px;padding:20px}.card h2{margin:0 0 10px;font-size:17px}.card ul{margin:0;padding-left:20px}.card li{margin-bottom:6px;font-size:14px;line-height:1.5}.unit-list{grid-template-columns:repeat(auto-fill,minmax(340px,1fr));gap:14px;display:grid}.unit-card{color:var(--text);align-items:flex-start;gap:14px;margin:0;text-decoration:none;display:flex}.unit-card:hover{border-color:var(--primary)}.unit-order{background:var(--primary);color:#fff;border-radius:50%;flex-shrink:0;justify-content:center;align-items:center;width:28px;height:28px;font-size:13px;font-weight:700;display:flex}.unit-card h2{margin:0 0 4px;font-size:16px}.term-list{margin:0}.term-item{margin-bottom:10px}.term-item dt{font-size:14px;font-weight:700}.term-item dd{color:var(--muted);margin:2px 0 0;font-size:13px}.comparison-card{background:var(--card);border:1px solid var(--border);border-radius:12px;margin-bottom:16px;padding:20px}.comparison-question{color:var(--muted);margin:-4px 0 12px;font-size:13px;font-style:italic}.table-scroll{overflow-x:auto}table{border-collapse:collapse;width:100%;font-size:13px}th,td{text-align:left;border-bottom:1px solid var(--border);padding:8px 10px}th{color:var(--muted);white-space:nowrap;font-weight:600}.comparison-insight{background:#eff6ff;border-radius:8px;margin:14px 0 0;padding:10px 12px;font-size:13px}.quiz-cta{text-align:center;margin-top:24px}.detail-grid{grid-template-columns:repeat(auto-fit,minmax(380px,1fr));align-items:start;gap:16px;margin-bottom:16px;display:grid}.detail-grid>.card{margin-bottom:0}.definition-box{border-left:3px solid var(--primary);background:#f0f9ff;border-radius:6px;margin-bottom:14px;padding:10px 14px}.definition-label{color:var(--primary-dark);text-transform:uppercase;letter-spacing:.03em;margin:0 0 4px;font-size:11px;font-weight:700}.definition-text{margin:0;font-size:14px;font-weight:600;line-height:1.5}.example-box{background:#fffbeb;border:1px solid #fde68a;border-radius:10px;margin-top:16px;padding:14px 16px}.example-label{color:#b45309;margin:0 0 6px;font-size:12px;font-weight:700}.example-text{white-space:pre-wrap;margin:0;font-size:14px;line-height:1.6}.visual-explanation{white-space:pre-wrap;background:#eff6ff;border:1px solid #bfdbfe;border-radius:10px;margin-top:16px;padding:14px 16px;font-size:14px;line-height:1.65}label{margin:12px 0 4px;font-size:13px;font-weight:600;display:block}input[type=text],input[type=number],input[type=email],input[type=password],input[type=date],select{border:1px solid var(--border);width:100%;color:var(--text);background:#fff;border-radius:8px;padding:10px 12px;font-family:inherit;font-size:14px}input[type=text]:focus,input[type=number]:focus,input[type=email]:focus,input[type=password]:focus,input[type=date]:focus,select:focus{border-color:var(--primary);outline:none;box-shadow:0 0 0 3px #2563eb1f}select{appearance:none;background-image:url("data:image/svg+xml,%3Csvg xmlns='http://www.w3.org/2000/svg' width='12' height='8' viewBox='0 0 12 8'%3E%3Cpath fill='%236b7280' d='M1 1l5 5 5-5'/%3E%3C/svg%3E");background-position:right 12px center;background-repeat:no-repeat;padding-right:32px}.auth-page{background:linear-gradient(160deg, #eff6ff 0%, var(--bg) 45%);flex-direction:column;justify-content:center;align-items:center;min-height:100vh;padding:24px;display:flex}.auth-brand{color:var(--primary-dark);letter-spacing:-.01em;margin-bottom:24px;font-size:15px;font-weight:700}.auth-card{background:var(--card);border-radius:20px;width:100%;max-width:420px;margin:0;padding:36px 32px;box-shadow:0 12px 40px #0f172a14}.auth-card h2{margin:0 0 6px;font-size:22px}.auth-card .muted{margin-bottom:8px}.auth-card button[type=submit]{width:100%;margin-top:20px;padding:12px 18px;font-size:15px}.auth-card .msg.error{background:var(--error-bg);color:var(--error);border-radius:8px;padding:10px 12px}.auth-card .field-loading{color:var(--muted);margin-top:6px;font-size:13px}.auth-card .switch-mode{text-align:center;margin-top:18px;font-size:13px}button{background:var(--primary);color:#fff;cursor:pointer;border:none;border-radius:8px;margin-top:14px;padding:10px 18px;font-size:14px;font-weight:600}button:hover{background:var(--primary-dark)}button:disabled{cursor:not-allowed;background:#9ca3af}.msg{margin-top:10px;font-size:14px}.msg.error{color:var(--error)}a.link{color:var(--primary);font-size:13px;text-decoration:none}a.link:hover{text-decoration:underline}.quiz-progress{margin-bottom:8px}.question-text{font-size:17px;line-height:1.5}.choice-list{flex-direction:column;gap:8px;margin-top:12px;display:flex}.choice-option{border:1px solid var(--border);cursor:pointer;border-radius:8px;align-items:center;gap:10px;padding:10px 14px;font-size:14px;display:flex}.choice-option.selected{border-color:var(--primary);background:#eff6ff}.choice-option input{margin:0}.numeric-input-row{align-items:center;gap:8px;margin-top:12px;display:flex}.numeric-input-row input{max-width:200px}.unit-label{color:var(--muted);font-size:14px}.grade-result{border-radius:10px;margin-top:16px;padding:14px 16px;font-size:14px}.grade-result.correct{background:var(--success-bg);color:var(--success)}.grade-result.incorrect{background:var(--error-bg);color:var(--error)}.grade-headline{margin:0 0 6px;font-weight:700}.grade-result p{margin:4px 0}.explanation{color:var(--text)!important;margin-top:8px!important}.quiz-actions{margin-top:6px}.score-line{margin:12px 0 20px;font-size:24px;font-weight:700}.visual-chart{flex-direction:column;align-items:center;padding:6px 0;display:flex}.visual-chart svg{max-width:100%;height:auto}.visual-caption{color:var(--muted);text-align:center;margin:10px 0 0;font-size:13px}.visual-legend{flex-wrap:wrap;justify-content:center;gap:18px;margin-top:10px;display:flex}.legend-item{color:var(--muted);align-items:center;gap:6px;font-size:12px;display:inline-flex}.legend-swatch{border-radius:2px;width:10px;height:10px;display:inline-block}.formula-card h2{margin-bottom:4px}.formula-line{border-bottom:1px solid var(--border);padding:10px 0}.formula-line:last-child{border-bottom:none}.formula-label{color:var(--muted);margin-bottom:4px;font-size:13px;font-weight:600}.formula-math{padding:4px 0;overflow-x:auto}.formula-note{color:var(--muted);margin:4px 0 0;font-size:13px}.formula-rationale{background:#f5f3ff;border:1px solid #ddd6fe;border-radius:10px;margin-top:10px;padding:12px 16px}.formula-rationale-label{color:#7c3aed;text-transform:uppercase;letter-spacing:.03em;margin:0 0 6px;font-size:12px;font-weight:700}.formula-rationale-text{white-space:pre-wrap;color:var(--text);margin:0;font-size:14px;line-height:1.65}.slide-stage .formula-rationale-text{font-size:17px;line-height:1.7}.paper-example-card{background:#f0f9ff;border-color:#bae6fd}.paper-example-line{border:1px solid var(--border);background:#fff;border-radius:8px;margin:8px 0;padding:10px 14px;font-size:14px;font-style:italic;line-height:1.6}.pitfall-list{flex-direction:column;gap:12px;margin-bottom:16px;display:flex}.pitfall-card-item{background:#fef2f0;border:1px solid #fecdca;border-radius:10px;padding:14px 16px}.pitfall-card-title{color:#b42318;margin:0 0 8px;font-size:13px;font-weight:700}.pitfall-card-wrong{color:var(--text);margin:0 0 6px;font-size:14px;line-height:1.55}.pitfall-card-right{color:#166534;margin:0;font-size:14px;font-weight:600;line-height:1.55}button.secondary{color:var(--primary);border:1px solid var(--primary);background:0 0}button.secondary:hover{background:#eff6ff}button.secondary:disabled{color:#9ca3af;border-color:var(--border);background:0 0}.step-progress{margin:18px 0 22px}.step-dots{flex-wrap:wrap;gap:8px;margin-bottom:10px;display:flex}.step-dot{border:1.5px solid var(--border);background:var(--card);width:30px;height:30px;color:var(--muted);cursor:pointer;border-radius:50%;justify-content:center;align-items:center;margin:0;padding:0;font-size:12px;font-weight:700;display:flex}.step-dot:hover{border-color:var(--primary);color:var(--primary)}.step-dot.done{border-color:var(--primary);color:var(--primary-dark);background:#dbeafe}.step-dot.active{background:var(--primary);border-color:var(--primary);color:#fff}.step-label{color:var(--muted);margin:0;font-size:13px;font-weight:600}.step-content{min-height:240px}.step-nav{border-top:1px solid var(--border);justify-content:space-between;margin-top:28px;padding-top:20px;display:flex}.objectives-card{background:#ecfdf5;border-color:#a7f3d0}.objectives-lead{color:var(--muted);margin:0 0 8px;font-size:13px}.objectives-list{margin:0;padding-left:20px}.objectives-list li{margin-bottom:6px;font-size:14px;font-weight:500;line-height:1.5}.worked-example-card{background:#faf5ff;border-color:#e9d5ff}.worked-question{margin:0 0 14px;font-size:15px;font-weight:600;line-height:1.5}.hint-list{flex-direction:column;gap:8px;margin-bottom:16px;display:flex}.hint-item{border:1px solid var(--border);background:#fff;border-radius:8px;align-items:flex-start;gap:10px;padding:10px 12px;font-size:14px;line-height:1.5;display:flex}.hint-badge{color:#7c3aed;background:#f3e8ff;border-radius:999px;flex-shrink:0;padding:2px 8px;font-size:11px;font-weight:700}.reveal-btn{background:#7c3aed}.reveal-btn:hover{background:#6d28d9}.reveal-btn.secondary{color:#7c3aed;background:0 0;border:1px solid #7c3aed;margin-top:12px}.reveal-btn.secondary:hover{background:#f3e8ff}.solution-box{background:#fff;border:1.5px dashed #7c3aed;border-radius:10px;margin-top:4px;padding:14px 16px}.solution-label{color:#7c3aed;text-transform:uppercase;letter-spacing:.03em;margin:0 0 6px;font-size:12px;font-weight:700}.solution-text{white-space:pre-wrap;margin:0;font-size:14px;line-height:1.6}.jamovi-card{background:#f0f9ff;border-color:#bae6fd}.jamovi-preview-scroll{margin:12px 0;overflow-x:auto}.jamovi-preview-table{border-collapse:collapse;width:100%;font-size:12px}.jamovi-preview-table th,.jamovi-preview-table td{border:1px solid var(--border);text-align:left;white-space:nowrap;padding:6px 10px}.jamovi-preview-table th{background:#e0f2fe;font-weight:700}.jamovi-more-rows{color:var(--muted);margin:-6px 0 12px;font-size:12px}.jamovi-steps{margin:16px 0;padding-left:22px}.jamovi-steps li{margin-bottom:8px;font-size:14px;line-height:1.5}.jamovi-output-note{border:1px solid var(--border);background:#fff;border-radius:8px;margin:0;padding:10px 12px;font-size:13px}.jamovi-answer-key{margin-top:14px}.answer-key-box{background:#fefce8;border:1px solid #fde68a;border-radius:8px;padding:12px 14px;font-size:14px;line-height:1.6}.answer-key-box p{margin:0 0 8px}.answer-key-label{color:#92400e;text-transform:uppercase;letter-spacing:.03em;margin-bottom:8px;font-size:12px;font-weight:700}.answer-key-mistakes-label{margin:10px 0 4px;font-size:13px;font-weight:700}.answer-key-box ul{margin:0 0 10px;padding-left:20px}.answer-key-box li{margin-bottom:4px;font-size:13px}.badge-unpublished{color:#b45309;vertical-align:middle;background:#fef3c7;border-radius:999px;margin-left:6px;padding:2px 8px;font-size:11px;font-weight:700;display:inline-block}.badge{border-radius:999px;padding:3px 10px;font-size:12px;font-weight:700;display:inline-block}.badge.active{color:#166534;background:#dcfce7}.badge.inactive{color:#6b7280;background:#f3f4f6}.language-toggle{background:#f3f4f6;border-radius:999px;gap:2px;margin-bottom:12px;padding:3px;display:inline-flex}.language-toggle button{color:#6b7280;cursor:pointer;background:0 0;border:none;border-radius:999px;padding:5px 14px;font-size:13px;font-weight:600}.language-toggle button.active{color:var(--primary,#4338ca);background:#fff;box-shadow:0 1px 2px #00000014}.admin-subject-header{flex-wrap:wrap;align-items:center;gap:10px;display:flex}.admin-subject-header h2{margin:0}.admin-term-row{border-bottom:1px solid var(--border);flex-wrap:wrap;align-items:flex-end;gap:16px;margin-bottom:18px;padding-bottom:18px;display:flex}.admin-term-row label{color:var(--muted);flex-direction:column;gap:4px;margin:0;font-size:12px;font-weight:600;display:flex}.admin-term-row input[type=date]{border:1px solid var(--border);border-radius:8px;padding:8px 10px;font-size:13px}.admin-unit-table{border-collapse:collapse;width:100%;font-size:13px}.admin-unit-table th,.admin-unit-table td{text-align:left;border-bottom:1px solid var(--border);padding:8px 6px}.admin-unit-table th{color:var(--muted);font-weight:600}.result-table-card{border:1.5px solid var(--primary);background:#fff}.result-table-title{margin:0 0 12px;font-size:14px;font-weight:700}.result-table{border-collapse:collapse;font-variant-numeric:tabular-nums;width:100%;font-size:13px}.result-table th{text-align:left;border-top:2px solid var(--text);border-bottom:1.5px solid var(--text);white-space:nowrap;padding:8px 14px;font-weight:700}.result-table td{border-bottom:1px solid var(--border);white-space:nowrap;padding:7px 14px}.result-table tbody tr:last-child td{border-bottom:2px solid var(--text)}.result-table-takeaway{color:var(--primary-dark);background:#eff6ff;border-radius:8px;margin:14px 0 0;padding:10px 14px;font-size:14px;font-weight:600}.keypoint-table-block{margin-top:14px}.keypoint-table{border-collapse:collapse;font-variant-numeric:tabular-nums;width:100%;font-size:13px}.keypoint-table th{text-align:left;border-top:2px solid var(--text);border-bottom:1.5px solid var(--text);white-space:nowrap;color:var(--muted);padding:7px 12px;font-weight:700}.keypoint-table td{border-bottom:1px solid var(--border);padding:6px 12px}.keypoint-table tbody tr:last-child td{border-bottom:2px solid var(--text)}.keypoint-table-caption{color:var(--muted);margin:8px 0 0;font-size:13px}.slide-stage .keypoint-table{font-size:15px}.slide-stage .keypoint-table th,.slide-stage .keypoint-table td{padding:9px 14px}.step-progress-top{justify-content:space-between;align-items:center;gap:16px;display:flex}.presenter-toggle{white-space:nowrap;margin-top:0;padding:7px 14px;font-size:13px}.presenter-hint{color:var(--muted);margin:6px 0 0;font-size:12px}body.presenting .top-nav,body.presenting .presenter-hidden,body.presenting .presenter-hint{display:none}body.presenting .step-progress{margin:6px 0 16px}body.presenting .step-dot{width:26px;height:26px;font-size:11px}body.presenting .step-label{font-size:16px}body.presenting .slide-stage{min-height:calc(100vh - 210px)}body.presenting .slide-stage .card{padding:44px 56px}body.presenting .slide-stage .page-header h1{font-size:52px}body.presenting .slide-stage .card h2{font-size:36px}body.presenting .slide-stage .muted,body.presenting .slide-stage .hook,body.presenting .slide-stage .card li,body.presenting .slide-stage .definition-text,body.presenting .slide-stage .example-text,body.presenting .slide-stage .personal-note-text,body.presenting .slide-stage .paper-connection-summary,body.presenting .slide-stage .formula-rationale-text{font-size:22px;line-height:1.65}body.presenting .slide-stage .concept-details-text{font-size:20px}body.presenting .slide-stage .definition-label,body.presenting .slide-stage .example-label,body.presenting .slide-stage .personal-note-label{font-size:14px}body.presenting .concept-details-summary{font-size:18px}body.presenting .visual-caption{font-size:16px}body.presenting .visual-legend{font-size:15px}body.presenting .visual-explanation{font-size:19px;line-height:1.6}body.presenting .visual-chart svg{max-width:1120px}body.presenting table{font-size:17px}body.presenting .step-nav{margin-top:20px;padding-top:16px}body.presenting .step-nav button{padding:12px 24px;font-size:17px}.prediction-box{border:1px solid #c7d2fe;border-left:4px solid var(--primary);background:#eef2ff;border-radius:12px;margin:4px 0 16px;padding:16px 20px}.prediction-label{color:var(--primary-dark);letter-spacing:.02em;margin:0 0 6px;font-size:12px;font-weight:700}.prediction-question{margin:0;font-weight:600;line-height:1.55}.prediction-options{margin:10px 0 0;padding-left:20px}.prediction-options li{margin-bottom:4px}.prediction-reveal{margin-top:12px}.recall-box{background:var(--success-bg);border:1px solid #bbf7d0;border-radius:12px;margin-top:20px;padding:14px 18px}.recall-label{color:#15803d;letter-spacing:.02em;margin:0 0 6px;font-size:12px;font-weight:700}.recall-prompt{margin:0;line-height:1.55}.recall-answer{color:#166534;margin:10px 0 0;line-height:1.6}.recall-reveal{margin-top:10px}.slide-stage .prediction-question,.slide-stage .prediction-options li,.slide-stage .recall-prompt,.slide-stage .recall-answer{font-size:17px;line-height:1.65}.slide-stage .prediction-label,.slide-stage .recall-label{font-size:13px}body.presenting .slide-stage .prediction-question,body.presenting .slide-stage .prediction-options li,body.presenting .slide-stage .recall-prompt,body.presenting .slide-stage .recall-answer{font-size:22px}body.presenting .slide-stage .prediction-label,body.presenting .slide-stage .recall-label{font-size:15px}.concept-slide-body:has(.prediction-gate.pending) .concept-slide-side{display:none}.instructor-note{background:#f8fafc;border:1px dashed #94a3b8;border-radius:12px;margin-top:18px;padding:12px 16px}.instructor-note-label{color:#475569;letter-spacing:.02em;margin:0 0 4px;font-size:11px;font-weight:700}.instructor-note-text{color:#334155;margin:0;line-height:1.6}body.presenting .instructor-note{display:none}.faded-steps{margin:16px 0 0;padding-left:0;list-style:none}.faded-step{border-left:3px solid var(--primary);margin-bottom:12px;padding:10px 0 10px 14px}.faded-step-prompt{margin:0;line-height:1.6}.faded-step-badge{color:var(--primary-dark);background:#eff6ff;border-radius:999px;margin-right:8px;padding:2px 10px;font-size:11px;font-weight:700;display:inline-block}.faded-step-answer{color:#166534;margin:8px 0 0;line-height:1.6}.faded-step-reveal{margin-top:8px}.slide-stage .faded-step-prompt,.slide-stage .faded-step-answer,.slide-stage .instructor-note-text{font-size:17px;line-height:1.65}body.presenting .slide-stage .faded-step-prompt,body.presenting .slide-stage .faded-step-answer{font-size:22px}.explorer{align-items:stretch;gap:10px}.explorer-legend{color:var(--text);flex-wrap:wrap;gap:18px;margin-bottom:4px;font-size:13px;display:flex}.explorer-legend .legend-dash{border-top:2px dashed var(--text);opacity:.6;vertical-align:middle;width:18px;margin-right:6px;display:inline-block}.explorer-controls{flex-wrap:wrap;gap:20px;margin-top:4px;display:flex}.explorer-slider{flex:240px;margin:0;font-size:13px;font-weight:500;display:block}.explorer-slider span{color:var(--muted);margin-bottom:4px;display:block}.explorer-slider b{color:var(--text)}.explorer-slider input[type=range]{width:100%;accent-color:var(--primary)}.explorer-presets{flex-wrap:wrap;gap:8px;display:flex}.explorer-presets button{margin-top:0;padding:6px 14px;font-size:13px}.explorer-bars{flex-direction:column;gap:6px;margin-top:6px;display:flex}.explorer-bar-row{align-items:center;gap:10px;font-size:13px;display:flex}.explorer-bar-label{color:var(--muted);flex:0 0 190px}.explorer-bar-track{background:var(--bg);border-radius:999px;flex:1;height:14px;overflow:hidden}.explorer-bar-fill{border-radius:999px;height:100%;transition:width .12s linear;display:block}.explorer-bar-value{text-align:right;flex:0 0 56px;font-weight:600}.explorer-readout{background:var(--bg);border:1px solid var(--border);border-radius:12px;flex-wrap:wrap;align-items:baseline;gap:14px;padding:12px 16px;display:flex}.explorer-f{font-size:22px;font-weight:700}.explorer-p{color:var(--muted);font-size:15px}.explorer-verdict{color:var(--text);font-size:14px}.explorer-readout.significant{background:var(--success-bg);border-color:#bbf7d0}.explorer-readout.significant .explorer-verdict{color:#166534;font-weight:600}.explorer-guide{background:#f5f3ff;border:1px solid #ddd6fe;border-radius:12px;padding:12px 18px}.explorer-guide-label{color:#6d28d9;margin:0 0 6px;font-size:12px;font-weight:700}.explorer-guide ol{margin:0;padding-left:20px}.explorer-guide li{margin-bottom:4px;line-height:1.6}.slide-stage .explorer-legend,.slide-stage .explorer-slider,.slide-stage .explorer-bar-row,.slide-stage .explorer-guide li{font-size:15px}.slide-stage .explorer-f{font-size:26px}body.presenting .explorer-legend,body.presenting .explorer-slider,body.presenting .explorer-bar-row,body.presenting .explorer-guide li,body.presenting .explorer-verdict{font-size:19px}body.presenting .explorer-f{font-size:32px}body.presenting .explorer-presets button{padding:9px 18px;font-size:17px}body.presenting .explorer-slider input[type=range]{height:26px}.formula-figure-note{border-left:3px solid var(--primary);background:#eff6ff;border-radius:8px;margin-top:10px;padding:10px 14px}.formula-figure-label{color:var(--primary-dark);margin:0 0 4px;font-size:11px;font-weight:700}.formula-figure-text{color:var(--text);margin:0;line-height:1.6}.slide-stage .formula-figure-text{font-size:17px;line-height:1.65}body.presenting .slide-stage .formula-figure-text{font-size:22px}.badge-exam{color:#b91c1c;vertical-align:middle;background:#fee2e2;border-radius:999px;margin-left:6px;padding:2px 8px;font-size:12px;font-weight:700;display:inline-block}.unit-card.is-exam{border-color:#fca5a5}.unit-card.is-exam .unit-order{color:#b91c1c;background:#fee2e2}.exam-card-meta{margin-top:4px;font-size:13px}.exam-bar{z-index:5;color:#e2e8f0;background:#0f172a;border-radius:12px;justify-content:space-between;align-items:center;gap:12px;margin-bottom:12px;padding:10px 14px;display:flex;position:sticky;top:0}.exam-timer{font-variant-numeric:tabular-nums;font-size:18px;font-weight:700}.exam-timer.is-urgent{color:#fca5a5}.exam-progress{font-size:14px}.exam-grid{flex-wrap:wrap;gap:6px;margin-bottom:12px;display:flex}.exam-dot{color:#475569;cursor:pointer;background:#fff;border:1px solid #cbd5e1;border-radius:8px;width:34px;height:34px;padding:0;font-size:13px}.exam-dot.is-done{color:#1d4ed8;background:#dbeafe;border-color:#93c5fd;font-weight:700}.exam-dot.is-current{outline-offset:1px;outline:2px solid #2563eb}.exam-intro ul{margin:12px 0 18px;padding-left:20px}.exam-intro li{margin-bottom:6px;line-height:1.6}.exam-meta{gap:14px;margin:8px 0;font-weight:600;display:flex}.exam-review-title{margin:20px 0 10px;font-size:18px}.exam-review-item.is-correct{border-left:4px solid #16a34a}.exam-review-item.is-wrong{border-left:4px solid #dc2626}.exam-review-head{align-items:center;gap:8px;margin-bottom:6px;display:flex}.exam-qnum{color:#475569;font-weight:700}.exam-ok{color:#16a34a;font-size:13px;font-weight:700}.exam-no{color:#dc2626;font-size:13px;font-weight:700}@media (width<=600px){.exam-bar{flex-direction:column;align-items:flex-start;gap:4px}.exam-dot{width:30px;height:30px;font-size:12px}}.admin-exam-block{border-top:1px solid #e2e8f0;margin-top:18px;padding-top:14px}.admin-exam-block h3{margin:0 0 4px;font-size:16px}.admin-exam-row{flex-wrap:wrap;align-items:center;gap:10px;margin-top:10px;display:flex}.admin-exam-row label{color:#475569;align-items:center;gap:6px;font-size:13px;display:flex}.admin-exam-name{min-width:220px;font-weight:600}.exam-protect{-webkit-user-select:none;user-select:none;-webkit-touch-callout:none}.exam-protect input,.exam-protect textarea{-webkit-user-select:text;user-select:text}@media print{.exam-protect{display:none!important}}.exam-countdown{margin:12px 0 4px;font-size:1.05rem}.exam-countdown strong{font-variant-numeric:tabular-nums;font-size:1.35rem}.exam-card-score{background:var(--accent-soft,#e8f0ff);color:var(--accent,#1f49b6);border-radius:999px;margin-right:8px;padding:1px 8px;font-weight:600;display:inline-block}.admin-score-block{margin-bottom:20px}.admin-score-time{font-size:12px}.slide-viewport.is-reading,.slide-viewport.is-reading>.slide-canvas{display:contents}body.presenting{background:#0b1020}body.presenting .app-main{max-width:none;padding:0}body.presenting .unit-detail-shell{max-width:none}body.presenting .step-progress,body.presenting .step-nav{display:none}body.presenting .slide-viewport{background:#0b1020;place-items:center;display:grid;position:fixed;inset:0}body.presenting .slide-canvas{width:1280px;height:720px;transform:scale(var(--canvas-scale,1));background:#fff;border-radius:12px;flex:none;padding:56px 72px 76px;position:relative;overflow:hidden;box-shadow:0 30px 80px #00000080}body.presenting .slide-canvas .card,body.presenting .slide-canvas .page-header{box-shadow:none;background:0 0;border:0;margin:0 0 18px;padding:0}body.presenting .slide-canvas .slide-stage{transform-origin:0 0;width:100%;height:100%;min-height:0;display:block}body.presenting .slide-canvas .page-header h1{font-size:56px;line-height:1.15}body.presenting .slide-canvas .card h2{margin-bottom:24px;font-size:40px}body.presenting .slide-canvas .card li,body.presenting .slide-canvas .muted,body.presenting .slide-canvas .hook,body.presenting .slide-canvas .definition-text,body.presenting .slide-canvas .example-text{font-size:26px;line-height:1.5}body.presenting .slide-canvas .card li{margin-bottom:14px}body.presenting .slide-canvas[data-layout=title] .slide-stage{flex-direction:column;justify-content:center;display:flex}body.presenting .slide-canvas[data-layout=title] .page-header{border-left:8px solid var(--accent,#2563eb);padding-left:32px}body.presenting .slide-canvas[data-layout=title] .page-header h1{font-size:64px}body.presenting .slide-canvas[data-layout=title] .page-header .muted{margin-top:18px;font-size:28px}body.presenting .slide-canvas[data-layout=title] .hook{margin-top:22px;font-size:24px}body.presenting .slide-canvas[data-layout=visual] .visual-chart svg{max-width:100%;max-height:430px}body.presenting .slide-canvas[data-layout=visual] .visual-explanation{font-size:21px}body.presenting .slide-canvas[data-layout=concept] .concept-slide-body{flex-direction:row;align-items:flex-start;gap:28px;display:flex}body.presenting .slide-canvas[data-layout=concept] .concept-slide-main{flex:auto;min-width:0}body.presenting .slide-canvas[data-layout=concept] .concept-slide-side{flex:0 0 34%}body.presenting .slide-canvas[data-layout=concept] .visual-chart svg{max-height:300px}body.presenting .slide-canvas[data-layout=table] table{font-size:20px}body.presenting .slide-canvas[data-layout=table] .card h2{margin-bottom:18px;font-size:34px}body.presenting .slide-canvas[data-layout=formula] .formula-item{margin-bottom:26px}body.presenting .slide-canvas[data-layout=center] .slide-stage{text-align:center;flex-direction:column;justify-content:center;display:flex}.slide-chrome{color:#94a3b8;pointer-events:none;justify-content:space-between;align-items:center;font-size:15px;display:flex;position:absolute;bottom:28px;left:72px;right:72px}.slide-chrome-num{font-variant-numeric:tabular-nums}.slide-progress{background:#eef2f7;height:5px;position:absolute;bottom:-28px;left:-72px;right:-72px}.slide-progress>div{background:var(--accent,#2563eb);height:100%}body.presenting .slide-canvas .concept-details,body.presenting .slide-canvas .paper-connection,body.presenting .slide-canvas .personal-note,body.presenting .slide-canvas .inline-jamovi{display:none}body.presenting .slide-canvas[data-layout=visual] .visual-chart svg{width:100%;height:auto;max-height:440px}body.presenting .slide-canvas[data-layout=visual] .slide-stage{flex-direction:column;justify-content:center;display:flex}body.presenting .slide-canvas .explorer-guide{display:none}.admin-essay-cell{align-items:center;gap:8px;margin-top:2px;font-size:13px;display:flex}.admin-essay-btn{padding:2px 8px;font-size:12px}.admin-essay-item{border-bottom:1px solid var(--line,#e5e7eb);padding:12px 0}.admin-essay-answer{white-space:pre-wrap;background:var(--surface-muted,#f8fafc);border-radius:8px;margin:8px 0;padding:12px 14px;line-height:1.6}.admin-essay-score{align-items:center;gap:10px;margin-top:14px;display:flex}.admin-essay-score input{width:110px}.exam-essay textarea{width:100%;min-height:220px;font:inherit;border:1px solid var(--line,#d1d5db);resize:vertical;border-radius:10px;padding:14px 16px;line-height:1.7}.exam-essay-count{text-align:right;margin:6px 2px 0;font-size:13px}.exam-essay-tag{background:var(--accent-soft,#e8f0ff);color:var(--accent,#1f49b6);border-radius:999px;padding:2px 8px;font-size:12px}@font-face{font-display:block;font-family:KaTeX_AMS;font-style:normal;font-weight:400;src:url(/assets/KaTeX_AMS-Regular-BQhdFMY1.woff2)format("woff2"),url(/assets/KaTeX_AMS-Regular-DMm9YOAa.woff)format("woff"),url(/assets/KaTeX_AMS-Regular-DRggAlZN.ttf)format("truetype")}@font-face{font-display:block;font-family:KaTeX_Caligraphic;font-style:normal;font-weight:700;src:url(/assets/KaTeX_Caligraphic-Bold-Dq_IR9rO.woff2)format("woff2"),url(/assets/KaTeX_Caligraphic-Bold-BEiXGLvX.woff)format("woff"),url(/assets/KaTeX_Caligraphic-Bold-ATXxdsX0.ttf)format("truetype")}@font-face{font-display:block;font-family:KaTeX_Caligraphic;font-style:normal;font-weight:400;src:url(/assets/KaTeX_Caligraphic-Regular-Di6jR-x-.woff2)format("woff2"),url(/assets/KaTeX_Caligraphic-Regular-CTRA-rTL.woff)format("woff"),url(/assets/KaTeX_Caligraphic-Regular-wX97UBjC.ttf)format("truetype")}@font-face{font-display:block;font-family:KaTeX_Fraktur;font-style:normal;font-weight:700;src:url(/assets/KaTeX_Fraktur-Bold-CL6g_b3V.woff2)format("woff2"),url(/assets/KaTeX_Fraktur-Bold-BsDP51OF.woff)format("woff"),url(/assets/KaTeX_Fraktur-Bold-BdnERNNW.ttf)format("truetype")}@font-face{font-display:block;font-family:KaTeX_Fraktur;font-style:normal;font-weight:400;src:url(/assets/KaTeX_Fraktur-Regular-CTYiF6lA.woff2)format("woff2"),url(/assets/KaTeX_Fraktur-Regular-Dxdc4cR9.woff)format("woff"),url(/assets/KaTeX_Fraktur-Regular-CB_wures.ttf)format("truetype")}@font-face{font-display:block;font-family:KaTeX_Main;font-style:normal;font-weight:700;src:url(/assets/KaTeX_Main-Bold-Cx986IdX.woff2)format("woff2"),url(/assets/KaTeX_Main-Bold-Jm3AIy58.woff)format("woff"),url(/assets/KaTeX_Main-Bold-waoOVXN0.ttf)format("truetype")}@font-face{font-display:block;font-family:KaTeX_Main;font-style:italic;font-weight:700;src:url(/assets/KaTeX_Main-BoldItalic-DxDJ3AOS.woff2)format("woff2"),url(/assets/KaTeX_Main-BoldItalic-SpSLRI95.woff)format("woff"),url(/assets/KaTeX_Main-BoldItalic-DzxPMmG6.ttf)format("truetype")}@font-face{font-display:block;font-family:KaTeX_Main;font-style:italic;font-weight:400;src:url(/assets/KaTeX_Main-Italic-NWA7e6Wa.woff2)format("woff2"),url(/assets/KaTeX_Main-Italic-BMLOBm91.woff)format("woff"),url(/assets/KaTeX_Main-Italic-3WenGoN9.ttf)format("truetype")}@font-face{font-display:block;font-family:KaTeX_Main;font-style:normal;font-weight:400;src:url(/assets/KaTeX_Main-Regular-B22Nviop.woff2)format("woff2"),url(/assets/KaTeX_Main-Regular-Dr94JaBh.woff)format("woff"),url(/assets/KaTeX_Main-Regular-ypZvNtVU.ttf)format("truetype")}@font-face{font-display:block;font-family:KaTeX_Math;font-style:italic;font-weight:700;src:url(/assets/KaTeX_Math-BoldItalic-CZnvNsCZ.woff2)format("woff2"),url(/assets/KaTeX_Math-BoldItalic-iY-2wyZ7.woff)format("woff"),url(/assets/KaTeX_Math-BoldItalic-B3XSjfu4.ttf)format("truetype")}@font-face{font-display:block;font-family:KaTeX_Math;font-style:italic;font-weight:400;src:url(/assets/KaTeX_Math-Italic-t53AETM-.woff2)format("woff2"),url(/assets/KaTeX_Math-Italic-DA0__PXp.woff)format("woff"),url(/assets/KaTeX_Math-Italic-flOr_0UB.ttf)format("truetype")}@font-face{font-display:block;font-family:KaTeX_SansSerif;font-style:normal;font-weight:700;src:url(/assets/KaTeX_SansSerif-Bold-D1sUS0GD.woff2)format("woff2"),url(/assets/KaTeX_SansSerif-Bold-DbIhKOiC.woff)format("woff"),url(/assets/KaTeX_SansSerif-Bold-CFMepnvq.ttf)format("truetype")}@font-face{font-display:block;font-family:KaTeX_SansSerif;font-style:italic;font-weight:400;src:url(/assets/KaTeX_SansSerif-Italic-C3H0VqGB.woff2)format("woff2"),url(/assets/KaTeX_SansSerif-Italic-DN2j7dab.woff)format("woff"),url(/assets/KaTeX_SansSerif-Italic-YYjJ1zSn.ttf)format("truetype")}@font-face{font-display:block;font-family:KaTeX_SansSerif;font-style:normal;font-weight:400;src:url(/assets/KaTeX_SansSerif-Regular-DDBCnlJ7.woff2)format("woff2"),url(/assets/KaTeX_SansSerif-Regular-CS6fqUqJ.woff)format("woff"),url(/assets/KaTeX_SansSerif-Regular-BNo7hRIc.ttf)format("truetype")}@font-face{font-display:block;font-family:KaTeX_Script;font-style:normal;font-weight:400;src:url(/assets/KaTeX_Script-Regular-D3wIWfF6.woff2)format("woff2"),url(/assets/KaTeX_Script-Regular-D5yQViql.woff)format("woff"),url(/assets/KaTeX_Script-Regular-C5JkGWo-.ttf)format("truetype")}@font-face{font-display:block;font-family:KaTeX_Size1;font-style:normal;font-weight:400;src:url(/assets/KaTeX_Size1-Regular-mCD8mA8B.woff2)format("woff2"),url(/assets/KaTeX_Size1-Regular-C195tn64.woff)format("woff"),url(/assets/KaTeX_Size1-Regular-Dbsnue_I.ttf)format("truetype")}@font-face{font-display:block;font-family:KaTeX_Size2;font-style:normal;font-weight:400;src:url(/assets/KaTeX_Size2-Regular-Dy4dx90m.woff2)format("woff2"),url(/assets/KaTeX_Size2-Regular-oD1tc_U0.woff)format("woff"),url(/assets/KaTeX_Size2-Regular-B7gKUWhC.ttf)format("truetype")}@font-face{font-display:block;font-family:KaTeX_Size3;font-style:normal;font-weight:400;src:url(data:font/woff2;base64,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)format("woff2"),url(/assets/KaTeX_Size3-Regular-CTq5MqoE.woff)format("woff"),url(/assets/KaTeX_Size3-Regular-DgpXs0kz.ttf)format("truetype")}@font-face{font-display:block;font-family:KaTeX_Size4;font-style:normal;font-weight:400;src:url(/assets/KaTeX_Size4-Regular-Dl5lxZxV.woff2)format("woff2"),url(/assets/KaTeX_Size4-Regular-BF-4gkZK.woff)format("woff"),url(/assets/KaTeX_Size4-Regular-DWFBv043.ttf)format("truetype")}@font-face{font-display:block;font-family:KaTeX_Typewriter;font-style:normal;font-weight:400;src:url(/assets/KaTeX_Typewriter-Regular-CO6r4hn1.woff2)format("woff2"),url(/assets/KaTeX_Typewriter-Regular-C0xS9mPB.woff)format("woff"),url(/assets/KaTeX_Typewriter-Regular-D3Ib7_Hf.ttf)format("truetype")}.katex{text-indent:0;text-rendering:auto;font:1.21em/1.2 KaTeX_Main,Times New Roman,serif;position:relative}.katex *{border-color:currentColor;-ms-high-contrast-adjust:none!important}.katex .katex-version:after{content:"0.18.4"}.katex .katex-mathml{clip-path:inset(50%);border:0;width:1px;height:1px;padding:0;position:absolute;overflow:hidden}.katex .katex-html>.katex-newline{display:block}.katex .katex-base{white-space:nowrap;width:min-content;position:relative}.katex .katex-base,.katex .katex-strut{display:inline-block}.katex .textbf{font-weight:700}.katex .textit{font-style:italic}.katex .textrm{font-family:KaTeX_Main}.katex .textsf{font-family:KaTeX_SansSerif}.katex .texttt{font-family:KaTeX_Typewriter}.katex .mathnormal{font-family:KaTeX_Math;font-style:italic}.katex .mathit{font-family:KaTeX_Main;font-style:italic}.katex .mathrm{font-style:normal}.katex .mathbf{font-family:KaTeX_Main;font-weight:700}.katex .boldsymbol{font-family:KaTeX_Math;font-style:italic;font-weight:700}.katex .amsrm,.katex .mathbb,.katex .textbb{font-family:KaTeX_AMS}.katex .mathcal{font-family:KaTeX_Caligraphic}.katex .mathfrak,.katex .textfrak{font-family:KaTeX_Fraktur}.katex .mathboldfrak,.katex .textboldfrak{font-family:KaTeX_Fraktur;font-weight:700}.katex .mathtt{font-family:KaTeX_Typewriter}.katex .mathscr,.katex .textscr{font-family:KaTeX_Script}.katex .mathsf,.katex .textsf{font-family:KaTeX_SansSerif}.katex .mathboldsf,.katex .textboldsf{font-family:KaTeX_SansSerif;font-weight:700}.katex .mathitsf,.katex .mathsfit,.katex .textitsf{font-family:KaTeX_SansSerif;font-style:italic}.katex .mainrm{font-family:KaTeX_Main;font-style:normal}.katex .vlist-t{border-collapse:collapse;table-layout:fixed;display:inline-table}.katex .vlist-r{display:table-row}.katex .vlist{vertical-align:bottom;display:table-cell;position:relative}.katex .vlist>span{height:0;display:block;position:relative}.katex .vlist>span>span{display:inline-block}.katex .vlist>span>.pstrut{width:0;overflow:hidden}.katex .vlist-t2{margin-right:-2px}.katex .vlist-s{vertical-align:bottom;width:2px;min-width:2px;font-size:1px;display:table-cell}.katex .katex-vbox{flex-direction:column;align-items:baseline;display:inline-flex}.katex .katex-thinbox{flex-direction:row;width:0;max-width:0;display:inline-flex}.katex .msupsub{text-align:left}.katex .mfrac>span>span{text-align:center}.katex .mfrac .frac-line{border-bottom-style:solid;width:100%;display:inline-block}.katex .katex-hdashline,.katex .katex-hline,.katex .katex-overline .overline-line,.katex .katex-rule,.katex .katex-underline .underline-line,.katex .mfrac .frac-line{min-height:1px}.katex .mspace{display:inline-block}.katex .katex-smash{line-height:0;display:inline}.katex .clap,.katex .llap,.katex .rlap{width:0;position:relative}.katex .clap>.katex-inner,.katex .llap>.katex-inner,.katex .rlap>.katex-inner{position:absolute}.katex .clap>.katex-fix,.katex .llap>.katex-fix,.katex .rlap>.katex-fix{display:inline-block}.katex .llap>.katex-inner{right:0}.katex .clap>.katex-inner,.katex .rlap>.katex-inner{left:0}.katex .clap>.katex-inner>span{margin-left:-50%;margin-right:50%}.katex .katex-rule{border:0 solid;display:inline-block;position:relative}.katex .katex-hline,.katex .katex-overline .overline-line,.katex .katex-underline .underline-line{border-bottom-style:solid;width:100%;display:inline-block}.katex .katex-hdashline{border-bottom-style:dashed;width:100%;display:inline-block}.katex .sqrt>.katex-root{margin-left:.277778em;margin-right:-.555556em}.katex .fontsize-ensurer.reset-size1.size1,.katex .katex-sizing.reset-size1.size1{font-size:1em}.katex .fontsize-ensurer.reset-size1.size2,.katex .katex-sizing.reset-size1.size2{font-size:1.2em}.katex .fontsize-ensurer.reset-size1.size3,.katex .katex-sizing.reset-size1.size3{font-size:1.4em}.katex .fontsize-ensurer.reset-size1.size4,.katex .katex-sizing.reset-size1.size4{font-size:1.6em}.katex .fontsize-ensurer.reset-size1.size5,.katex .katex-sizing.reset-size1.size5{font-size:1.8em}.katex .fontsize-ensurer.reset-size1.size6,.katex .katex-sizing.reset-size1.size6{font-size:2em}.katex .fontsize-ensurer.reset-size1.size7,.katex .katex-sizing.reset-size1.size7{font-size:2.4em}.katex .fontsize-ensurer.reset-size1.size8,.katex .katex-sizing.reset-size1.size8{font-size:2.88em}.katex .fontsize-ensurer.reset-size1.size9,.katex .katex-sizing.reset-size1.size9{font-size:3.456em}.katex .fontsize-ensurer.reset-size1.size10,.katex .katex-sizing.reset-size1.size10{font-size:4.148em}.katex .fontsize-ensurer.reset-size1.size11,.katex .katex-sizing.reset-size1.size11{font-size:4.976em}.katex .fontsize-ensurer.reset-size2.size1,.katex .katex-sizing.reset-size2.size1{font-size:.833333em}.katex .fontsize-ensurer.reset-size2.size2,.katex .katex-sizing.reset-size2.size2{font-size:1em}.katex .fontsize-ensurer.reset-size2.size3,.katex .katex-sizing.reset-size2.size3{font-size:1.16667em}.katex .fontsize-ensurer.reset-size2.size4,.katex .katex-sizing.reset-size2.size4{font-size:1.33333em}.katex .fontsize-ensurer.reset-size2.size5,.katex .katex-sizing.reset-size2.size5{font-size:1.5em}.katex .fontsize-ensurer.reset-size2.size6,.katex .katex-sizing.reset-size2.size6{font-size:1.66667em}.katex .fontsize-ensurer.reset-size2.size7,.katex .katex-sizing.reset-size2.size7{font-size:2em}.katex .fontsize-ensurer.reset-size2.size8,.katex .katex-sizing.reset-size2.size8{font-size:2.4em}.katex .fontsize-ensurer.reset-size2.size9,.katex .katex-sizing.reset-size2.size9{font-size:2.88em}.katex .fontsize-ensurer.reset-size2.size10,.katex .katex-sizing.reset-size2.size10{font-size:3.45667em}.katex .fontsize-ensurer.reset-size2.size11,.katex .katex-sizing.reset-size2.size11{font-size:4.14667em}.katex .fontsize-ensurer.reset-size3.size1,.katex .katex-sizing.reset-size3.size1{font-size:.714286em}.katex .fontsize-ensurer.reset-size3.size2,.katex .katex-sizing.reset-size3.size2{font-size:.857143em}.katex .fontsize-ensurer.reset-size3.size3,.katex .katex-sizing.reset-size3.size3{font-size:1em}.katex .fontsize-ensurer.reset-size3.size4,.katex .katex-sizing.reset-size3.size4{font-size:1.14286em}.katex .fontsize-ensurer.reset-size3.size5,.katex .katex-sizing.reset-size3.size5{font-size:1.28571em}.katex .fontsize-ensurer.reset-size3.size6,.katex .katex-sizing.reset-size3.size6{font-size:1.42857em}.katex .fontsize-ensurer.reset-size3.size7,.katex .katex-sizing.reset-size3.size7{font-size:1.71429em}.katex .fontsize-ensurer.reset-size3.size8,.katex .katex-sizing.reset-size3.size8{font-size:2.05714em}.katex .fontsize-ensurer.reset-size3.size9,.katex .katex-sizing.reset-size3.size9{font-size:2.46857em}.katex .fontsize-ensurer.reset-size3.size10,.katex .katex-sizing.reset-size3.size10{font-size:2.96286em}.katex .fontsize-ensurer.reset-size3.size11,.katex .katex-sizing.reset-size3.size11{font-size:3.55429em}.katex .fontsize-ensurer.reset-size4.size1,.katex .katex-sizing.reset-size4.size1{font-size:.625em}.katex .fontsize-ensurer.reset-size4.size2,.katex .katex-sizing.reset-size4.size2{font-size:.75em}.katex .fontsize-ensurer.reset-size4.size3,.katex .katex-sizing.reset-size4.size3{font-size:.875em}.katex .fontsize-ensurer.reset-size4.size4,.katex .katex-sizing.reset-size4.size4{font-size:1em}.katex .fontsize-ensurer.reset-size4.size5,.katex .katex-sizing.reset-size4.size5{font-size:1.125em}.katex .fontsize-ensurer.reset-size4.size6,.katex .katex-sizing.reset-size4.size6{font-size:1.25em}.katex .fontsize-ensurer.reset-size4.size7,.katex .katex-sizing.reset-size4.size7{font-size:1.5em}.katex .fontsize-ensurer.reset-size4.size8,.katex .katex-sizing.reset-size4.size8{font-size:1.8em}.katex .fontsize-ensurer.reset-size4.size9,.katex .katex-sizing.reset-size4.size9{font-size:2.16em}.katex .fontsize-ensurer.reset-size4.size10,.katex .katex-sizing.reset-size4.size10{font-size:2.5925em}.katex .fontsize-ensurer.reset-size4.size11,.katex .katex-sizing.reset-size4.size11{font-size:3.11em}.katex .fontsize-ensurer.reset-size5.size1,.katex .katex-sizing.reset-size5.size1{font-size:.555556em}.katex .fontsize-ensurer.reset-size5.size2,.katex .katex-sizing.reset-size5.size2{font-size:.666667em}.katex .fontsize-ensurer.reset-size5.size3,.katex .katex-sizing.reset-size5.size3{font-size:.777778em}.katex .fontsize-ensurer.reset-size5.size4,.katex .katex-sizing.reset-size5.size4{font-size:.888889em}.katex .fontsize-ensurer.reset-size5.size5,.katex .katex-sizing.reset-size5.size5{font-size:1em}.katex .fontsize-ensurer.reset-size5.size6,.katex .katex-sizing.reset-size5.size6{font-size:1.11111em}.katex .fontsize-ensurer.reset-size5.size7,.katex .katex-sizing.reset-size5.size7{font-size:1.33333em}.katex .fontsize-ensurer.reset-size5.size8,.katex .katex-sizing.reset-size5.size8{font-size:1.6em}.katex .fontsize-ensurer.reset-size5.size9,.katex .katex-sizing.reset-size5.size9{font-size:1.92em}.katex .fontsize-ensurer.reset-size5.size10,.katex .katex-sizing.reset-size5.size10{font-size:2.30444em}.katex .fontsize-ensurer.reset-size5.size11,.katex .katex-sizing.reset-size5.size11{font-size:2.76444em}.katex .fontsize-ensurer.reset-size6.size1,.katex .katex-sizing.reset-size6.size1{font-size:.5em}.katex .fontsize-ensurer.reset-size6.size2,.katex .katex-sizing.reset-size6.size2{font-size:.6em}.katex .fontsize-ensurer.reset-size6.size3,.katex .katex-sizing.reset-size6.size3{font-size:.7em}.katex .fontsize-ensurer.reset-size6.size4,.katex .katex-sizing.reset-size6.size4{font-size:.8em}.katex .fontsize-ensurer.reset-size6.size5,.katex .katex-sizing.reset-size6.size5{font-size:.9em}.katex .fontsize-ensurer.reset-size6.size6,.katex .katex-sizing.reset-size6.size6{font-size:1em}.katex .fontsize-ensurer.reset-size6.size7,.katex .katex-sizing.reset-size6.size7{font-size:1.2em}.katex .fontsize-ensurer.reset-size6.size8,.katex .katex-sizing.reset-size6.size8{font-size:1.44em}.katex .fontsize-ensurer.reset-size6.size9,.katex .katex-sizing.reset-size6.size9{font-size:1.728em}.katex .fontsize-ensurer.reset-size6.size10,.katex .katex-sizing.reset-size6.size10{font-size:2.074em}.katex .fontsize-ensurer.reset-size6.size11,.katex .katex-sizing.reset-size6.size11{font-size:2.488em}.katex .fontsize-ensurer.reset-size7.size1,.katex .katex-sizing.reset-size7.size1{font-size:.416667em}.katex .fontsize-ensurer.reset-size7.size2,.katex .katex-sizing.reset-size7.size2{font-size:.5em}.katex .fontsize-ensurer.reset-size7.size3,.katex .katex-sizing.reset-size7.size3{font-size:.583333em}.katex .fontsize-ensurer.reset-size7.size4,.katex .katex-sizing.reset-size7.size4{font-size:.666667em}.katex .fontsize-ensurer.reset-size7.size5,.katex .katex-sizing.reset-size7.size5{font-size:.75em}.katex .fontsize-ensurer.reset-size7.size6,.katex .katex-sizing.reset-size7.size6{font-size:.833333em}.katex .fontsize-ensurer.reset-size7.size7,.katex .katex-sizing.reset-size7.size7{font-size:1em}.katex .fontsize-ensurer.reset-size7.size8,.katex .katex-sizing.reset-size7.size8{font-size:1.2em}.katex .fontsize-ensurer.reset-size7.size9,.katex .katex-sizing.reset-size7.size9{font-size:1.44em}.katex .fontsize-ensurer.reset-size7.size10,.katex .katex-sizing.reset-size7.size10{font-size:1.72833em}.katex .fontsize-ensurer.reset-size7.size11,.katex .katex-sizing.reset-size7.size11{font-size:2.07333em}.katex .fontsize-ensurer.reset-size8.size1,.katex .katex-sizing.reset-size8.size1{font-size:.347222em}.katex .fontsize-ensurer.reset-size8.size2,.katex .katex-sizing.reset-size8.size2{font-size:.416667em}.katex .fontsize-ensurer.reset-size8.size3,.katex .katex-sizing.reset-size8.size3{font-size:.486111em}.katex .fontsize-ensurer.reset-size8.size4,.katex .katex-sizing.reset-size8.size4{font-size:.555556em}.katex .fontsize-ensurer.reset-size8.size5,.katex .katex-sizing.reset-size8.size5{font-size:.625em}.katex .fontsize-ensurer.reset-size8.size6,.katex .katex-sizing.reset-size8.size6{font-size:.694444em}.katex .fontsize-ensurer.reset-size8.size7,.katex .katex-sizing.reset-size8.size7{font-size:.833333em}.katex .fontsize-ensurer.reset-size8.size8,.katex .katex-sizing.reset-size8.size8{font-size:1em}.katex .fontsize-ensurer.reset-size8.size9,.katex .katex-sizing.reset-size8.size9{font-size:1.2em}.katex .fontsize-ensurer.reset-size8.size10,.katex .katex-sizing.reset-size8.size10{font-size:1.44028em}.katex .fontsize-ensurer.reset-size8.size11,.katex .katex-sizing.reset-size8.size11{font-size:1.72778em}.katex .fontsize-ensurer.reset-size9.size1,.katex .katex-sizing.reset-size9.size1{font-size:.289352em}.katex .fontsize-ensurer.reset-size9.size2,.katex .katex-sizing.reset-size9.size2{font-size:.347222em}.katex .fontsize-ensurer.reset-size9.size3,.katex .katex-sizing.reset-size9.size3{font-size:.405093em}.katex .fontsize-ensurer.reset-size9.size4,.katex .katex-sizing.reset-size9.size4{font-size:.462963em}.katex .fontsize-ensurer.reset-size9.size5,.katex .katex-sizing.reset-size9.size5{font-size:.520833em}.katex .fontsize-ensurer.reset-size9.size6,.katex .katex-sizing.reset-size9.size6{font-size:.578704em}.katex .fontsize-ensurer.reset-size9.size7,.katex .katex-sizing.reset-size9.size7{font-size:.694444em}.katex .fontsize-ensurer.reset-size9.size8,.katex .katex-sizing.reset-size9.size8{font-size:.833333em}.katex .fontsize-ensurer.reset-size9.size9,.katex .katex-sizing.reset-size9.size9{font-size:1em}.katex .fontsize-ensurer.reset-size9.size10,.katex .katex-sizing.reset-size9.size10{font-size:1.20023em}.katex .fontsize-ensurer.reset-size9.size11,.katex .katex-sizing.reset-size9.size11{font-size:1.43981em}.katex .fontsize-ensurer.reset-size10.size1,.katex .katex-sizing.reset-size10.size1{font-size:.24108em}.katex .fontsize-ensurer.reset-size10.size2,.katex .katex-sizing.reset-size10.size2{font-size:.289296em}.katex .fontsize-ensurer.reset-size10.size3,.katex .katex-sizing.reset-size10.size3{font-size:.337512em}.katex .fontsize-ensurer.reset-size10.size4,.katex .katex-sizing.reset-size10.size4{font-size:.385728em}.katex .fontsize-ensurer.reset-size10.size5,.katex .katex-sizing.reset-size10.size5{font-size:.433944em}.katex .fontsize-ensurer.reset-size10.size6,.katex .katex-sizing.reset-size10.size6{font-size:.48216em}.katex .fontsize-ensurer.reset-size10.size7,.katex .katex-sizing.reset-size10.size7{font-size:.578592em}.katex .fontsize-ensurer.reset-size10.size8,.katex .katex-sizing.reset-size10.size8{font-size:.694311em}.katex .fontsize-ensurer.reset-size10.size9,.katex .katex-sizing.reset-size10.size9{font-size:.833173em}.katex .fontsize-ensurer.reset-size10.size10,.katex .katex-sizing.reset-size10.size10{font-size:1em}.katex .fontsize-ensurer.reset-size10.size11,.katex .katex-sizing.reset-size10.size11{font-size:1.19961em}.katex .fontsize-ensurer.reset-size11.size1,.katex .katex-sizing.reset-size11.size1{font-size:.200965em}.katex .fontsize-ensurer.reset-size11.size2,.katex .katex-sizing.reset-size11.size2{font-size:.241158em}.katex .fontsize-ensurer.reset-size11.size3,.katex .katex-sizing.reset-size11.size3{font-size:.281351em}.katex .fontsize-ensurer.reset-size11.size4,.katex .katex-sizing.reset-size11.size4{font-size:.321543em}.katex .fontsize-ensurer.reset-size11.size5,.katex .katex-sizing.reset-size11.size5{font-size:.361736em}.katex .fontsize-ensurer.reset-size11.size6,.katex .katex-sizing.reset-size11.size6{font-size:.401929em}.katex .fontsize-ensurer.reset-size11.size7,.katex .katex-sizing.reset-size11.size7{font-size:.482315em}.katex .fontsize-ensurer.reset-size11.size8,.katex .katex-sizing.reset-size11.size8{font-size:.578778em}.katex .fontsize-ensurer.reset-size11.size9,.katex .katex-sizing.reset-size11.size9{font-size:.694534em}.katex .fontsize-ensurer.reset-size11.size10,.katex .katex-sizing.reset-size11.size10{font-size:.833601em}.katex .fontsize-ensurer.reset-size11.size11,.katex .katex-sizing.reset-size11.size11{font-size:1em}.katex .delimsizing.size1{font-family:KaTeX_Size1}.katex .delimsizing.size2{font-family:KaTeX_Size2}.katex .delimsizing.size3{font-family:KaTeX_Size3}.katex .delimsizing.size4{font-family:KaTeX_Size4}.katex .delimsizing.mult .delim-size1>span{font-family:KaTeX_Size1}.katex .delimsizing.mult .delim-size4>span{font-family:KaTeX_Size4}.katex .nulldelimiter{width:.12em;display:inline-block}.katex .delimcenter,.katex .op-symbol{position:relative}.katex .op-symbol.small-op{font-family:KaTeX_Size1}.katex .op-symbol.large-op{font-family:KaTeX_Size2}.katex .katex-accent>.vlist-t,.katex .op-limits>.vlist-t{text-align:center}.katex .katex-accent .accent-body{position:relative}.katex .katex-accent .accent-body:not(.accent-full){width:0}.katex .katex-overlay{display:block}.katex .mtable .vertical-separator{min-width:1px;display:inline-block}.katex .mtable .arraycolsep{display:inline-block}.katex .mtable .col-align-c>.vlist-t{text-align:center}.katex .mtable .col-align-l>.vlist-t{text-align:left}.katex .mtable .col-align-r>.vlist-t{text-align:right}.katex .svg-align{text-align:left}.katex svg{fill:currentColor;stroke:currentColor;height:inherit;width:100%;display:block;position:absolute}.katex svg path{stroke:none}.katex svg{fill-rule:nonzero;fill-opacity:1;stroke-width:1px;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:4;stroke-dasharray:none;stroke-dashoffset:0;stroke-opacity:1}.katex img{border-style:none;min-width:0;max-width:none;min-height:0;max-height:none}.katex .katex-stretchy{width:100%;display:block;position:relative;overflow:hidden}.katex .katex-stretchy:after,.katex .katex-stretchy:before{content:""}.katex .hide-tail{width:100%;position:relative;overflow:hidden}.katex .halfarrow-left{width:50.2%;position:absolute;left:0;overflow:hidden}.katex .halfarrow-right{width:50.2%;position:absolute;right:0;overflow:hidden}.katex .brace-left{width:25.1%;position:absolute;left:0;overflow:hidden}.katex .brace-center{width:50%;position:absolute;left:25%;overflow:hidden}.katex .brace-right{width:25.1%;position:absolute;right:0;overflow:hidden}.katex .x-arrow-pad{padding:0 .5em}.katex .cd-arrow-pad{padding:0 .55556em 0 .27778em}.katex .mover,.katex .munder,.katex .x-arrow{text-align:center}.katex .boxpad{padding:0 .3em}.katex .fbox,.katex .fcolorbox{box-sizing:border-box;border:.04em solid}.katex .cancel-pad{padding:0 .2em}.katex .cancel-lap{margin-left:-.2em;margin-right:-.2em}.katex .katex-sout{border-bottom-style:solid;border-bottom-width:.08em}.katex .angl{box-sizing:border-box;border-top:.049em solid;border-right:.049em solid;margin-right:.03889em}.katex .anglpad{padding:0 .03889em}.katex .eqn-num:before{content:"(" counter(katexEqnNo) ")";counter-increment:katexEqnNo}.katex .mml-eqn-num:before{content:"(" counter(mmlEqnNo) ")";counter-increment:mmlEqnNo}.katex .mtr-glue{width:50%}.katex .cd-vert-arrow{display:inline-block;position:relative}.katex .cd-label-left{text-align:left;display:inline-block;position:absolute;right:calc(50% + .3em)}.katex .cd-label-right{text-align:right;display:inline-block;position:absolute;left:calc(50% + .3em)}.katex-display{text-align:center;margin:1em 0;display:block}.katex-display>.katex{text-align:center;white-space:nowrap;display:block}.katex-display>.katex>.katex-html{display:block;position:relative}.katex-display>.katex>.katex-html>.katex-tag{position:absolute;right:0}.katex-display.leqno>.katex>.katex-html>.katex-tag{left:0;right:auto}.katex-display.fleqn>.katex{text-align:left;padding-left:2em}body{counter-reset:katexEqnNo mmlEqnNo}