:root{--kerala-blue:#1b4d7a;--kerala-green:#2d8659;--blue-light:#4a7ba7;--bg:#f4f7fb;--surface:#fff;--border:#e2e8f0;--text:#1a2433;--text-muted:#64748b;--easy:#2d8659;--medium:#c47f17;--hard:#c0392b;--correct-bg:#e6f4ec;--correct-border:#2d8659;--wrong-bg:#fbeaea;--wrong-border:#c0392b;--radius:12px;--shadow:0 2px 8px #1b4d7a14;--shadow-lg:0 8px 24px #1b4d7a1f;color:var(--text);font-family:system-ui,-apple-system,Segoe UI,Roboto,sans-serif}*{box-sizing:border-box}body{background:var(--bg);min-height:100vh;margin:0}a{color:inherit;text-decoration:none}button{cursor:pointer;font-family:inherit}.topbar{background:var(--kerala-blue);color:#fff;box-shadow:var(--shadow);flex-wrap:wrap;align-items:center;gap:12px 16px;max-width:100%;padding:14px 28px;display:flex}.topbar .brand{letter-spacing:.2px;white-space:nowrap;flex-direction:column;font-size:20px;font-weight:700;line-height:1.15;display:flex}.topbar .brand span{color:#9fd9bb;letter-spacing:.5px;font-size:11px;font-weight:600}.topbar .brand{order:1}.topbar-controls{flex-wrap:wrap;order:2;justify-content:flex-end;align-items:center;gap:10px;margin-left:auto;display:flex}.topbar nav{flex-wrap:wrap;flex-basis:100%;order:3;gap:8px;display:flex}.topbar nav a{opacity:.85;border-radius:8px;padding:6px 14px;font-size:14px;transition:all .15s}.topbar nav a:hover,.topbar nav a.active{opacity:1;background:#ffffff29}.container{max-width:920px;margin:0 auto;padding:28px 20px 60px}.page-title{color:var(--kerala-blue);margin:0 0 4px;font-size:26px;font-weight:700}.page-sub{color:var(--text-muted);margin:0 0 24px;font-size:15px}.dash-head{flex-wrap:wrap;justify-content:space-between;align-items:flex-start;gap:16px;margin-bottom:22px;display:flex}.subject-picker{color:var(--text-muted);flex-direction:column;gap:4px;font-size:12px;font-weight:600;display:flex}.subject-picker select{border:1.5px solid var(--border);color:var(--kerala-blue);cursor:pointer;background:#fff;border-radius:8px;padding:8px 12px;font-family:inherit;font-size:15px;font-weight:600}.subject-picker select:focus{border-color:var(--kerala-green);outline:none}.chapter-grid{grid-template-columns:repeat(auto-fill,minmax(240px,1fr));gap:16px;display:grid}.chapter-card{background:var(--surface);border:1px solid var(--border);border-radius:var(--radius);box-shadow:var(--shadow);flex-direction:column;gap:10px;padding:18px;transition:transform .15s,box-shadow .15s;display:flex}.chapter-card:hover{box-shadow:var(--shadow-lg);transform:translateY(-3px)}.chapter-card h3{color:var(--text);margin:0;font-size:16px}.chapter-card .count{color:var(--text-muted);font-size:13px}.chapter-card .bar{background:linear-gradient(90deg, var(--kerala-green), var(--blue-light));border-radius:4px;height:4px}.card-learn-link{color:var(--blue-light);border:1px solid var(--border);border-radius:999px;align-self:flex-start;padding:2px 8px;font-size:12px;font-weight:600;text-decoration:none}.card-learn-link:hover{background:var(--surface-alt,#0000000a)}.learn-card{color:inherit;text-decoration:none}.learn-doc{max-width:760px}.resume-card{background:linear-gradient(90deg, var(--kerala-green), var(--blue-light));color:#fff;border-radius:var(--radius);box-shadow:var(--shadow);flex-wrap:wrap;justify-content:space-between;align-items:center;gap:16px;margin-bottom:20px;padding:16px 20px;display:flex}.resume-card h3{margin:0 0 2px;font-size:16px}.resume-card .resume-sub{opacity:.92;margin:0;font-size:13px}.resume-card .btn-primary{color:var(--kerala-green);white-space:nowrap;background:#fff}.recommend-card{background:var(--accent-bg,#eef2ff);border:1px solid var(--accent-border,var(--border));border-left:4px solid var(--kerala-green);border-radius:var(--radius);margin-bottom:20px;padding:16px 18px}.recommend-card h3{color:var(--text);margin:0 0 2px;font-size:15px}.recommend-card .recommend-sub{color:var(--text-muted);margin:0 0 12px;font-size:13px}.recommend-chips{flex-wrap:wrap;gap:8px;display:flex}.recommend-chips .chip{background:var(--surface);border:1px solid var(--border);color:var(--kerala-blue,var(--text));cursor:pointer;border-radius:999px;padding:7px 14px;font-size:13px;font-weight:600;transition:border-color .15s,transform .1s}.recommend-chips .chip:hover{border-color:var(--kerala-green);transform:translateY(-1px)}.btn{border:none;border-radius:8px;padding:10px 18px;font-size:14px;font-weight:600;transition:opacity .15s,transform .1s}.btn:active{transform:scale(.98)}.btn-primary{background:var(--kerala-green);color:#fff}.btn-primary:hover{opacity:.92}.btn-outline{border:1px solid var(--border);color:var(--text);background:0 0}.btn-outline:hover{border-color:var(--blue-light);color:var(--kerala-blue)}.btn:disabled{opacity:.5;cursor:not-allowed}.quiz-card{background:var(--surface);border:1px solid var(--border);border-radius:var(--radius);box-shadow:var(--shadow);padding:26px}.quiz-meta{flex-wrap:wrap;align-items:center;gap:10px;margin-bottom:16px;display:flex}.badge{text-transform:uppercase;letter-spacing:.5px;color:#fff;border-radius:20px;padding:3px 10px;font-size:11px;font-weight:700}.badge.easy{background:var(--easy)}.badge.medium{background:var(--medium)}.badge.hard{background:var(--hard)}.badge.topic{color:var(--text-muted);background:#eef2f7}.quiz-progress{color:var(--text-muted);margin-left:auto;font-size:13px;font-weight:600}.quiz-question{margin:0 0 22px;font-size:19px;font-weight:500;line-height:1.5}.options{flex-direction:column;gap:12px;display:flex}.option{border:1.5px solid var(--border);text-align:left;background:#fff;border-radius:10px;align-items:center;gap:12px;width:100%;padding:14px 16px;font-size:15px;transition:all .12s;display:flex}.option:hover:not(:disabled){border-color:var(--blue-light);background:#f8fbff}.option .label{width:26px;height:26px;color:var(--text-muted);background:#eef2f7;border-radius:50%;flex-shrink:0;justify-content:center;align-items:center;font-size:13px;font-weight:700;display:flex}.option.correct{background:var(--correct-bg);border-color:var(--correct-border)}.option.correct .label{background:var(--correct-border);color:#fff}.option.wrong{background:var(--wrong-bg);border-color:var(--wrong-border)}.option.wrong .label{background:var(--wrong-border);color:#fff}.explanation{border-left:4px solid var(--blue-light);background:#f0f6ff;border-radius:8px;margin-top:20px;padding:16px 18px;font-size:15px;line-height:1.55}.explanation strong{color:var(--kerala-blue)}.quiz-actions{align-items:center;gap:12px;margin-top:24px;display:flex}.score-card{background:var(--surface);border:1px solid var(--border);border-radius:var(--radius);text-align:center;box-shadow:var(--shadow);padding:40px}.score-big{color:var(--kerala-green);margin:8px 0;font-size:48px;font-weight:800}.state{text-align:center;color:var(--text-muted);padding:60px 20px}.spinner{border:4px solid var(--border);border-top-color:var(--kerala-green);border-radius:50%;width:36px;height:36px;margin:0 auto 16px;animation:.8s linear infinite spin}@keyframes spin{to{transform:rotate(360deg)}}.error-box{background:var(--wrong-bg);border:1px solid var(--wrong-border);color:var(--hard);text-align:center;border-radius:8px;padding:16px}.topbar-subject{color:#fff;cursor:pointer;background:#ffffff24;border:1px solid #ffffff52;border-radius:8px;padding:6px 10px;font-family:inherit;font-size:13px;font-weight:700}.topbar-subject:focus{border-color:#9fd9bb;outline:none}.topbar-subject option{color:var(--text)}.topbar-board{background:#ffffff38;font-weight:800}.login-link{border:1px solid #fff6;border-radius:8px;font-size:14px;font-weight:600;padding:6px 16px!important}.login-link:hover{background:#ffffff29}.user-menu{align-items:center;gap:12px;display:flex}.user-greeting{color:#d7e6f2;font-size:14px}.logout-btn{color:#fff;background:#ffffff24;border:none;border-radius:8px;padding:6px 14px;font-size:13px;font-weight:600;transition:background .15s}.logout-btn:hover{background:#ffffff42}.auth-card{background:var(--surface);border:1px solid var(--border);border-radius:var(--radius);box-shadow:var(--shadow-lg);margin-top:32px;padding:36px 32px}.auth-form{flex-direction:column;gap:16px;margin-top:8px;display:flex}.auth-form label{color:var(--text);flex-direction:column;gap:6px;font-size:14px;font-weight:600;display:flex}.auth-form input,.auth-form select{border:1.5px solid var(--border);background:#fff;border-radius:8px;padding:11px 13px;font-family:inherit;font-size:15px;transition:border-color .15s}.auth-form input:focus,.auth-form select:focus{border-color:var(--kerala-green);outline:none}.link-btn{color:var(--kerala-green);background:0 0;border:none;padding:0;font-size:14px;font-weight:700}.link-btn:hover{text-decoration:underline}.basis-banner{border-radius:10px;flex-wrap:wrap;align-items:center;gap:10px;padding:12px 16px;font-size:14px;line-height:1.5;display:flex}.basis-banner.heuristic{color:#8a6d3b;background:#fdf6ec;border:1px solid #f0e0c4}.basis-banner.data{background:var(--correct-bg);color:var(--kerala-green);border:1px solid #cce8d8}.basis-tag{white-space:nowrap;font-weight:700}.pred-rank{color:var(--blue-light);margin-right:4px;font-weight:800}.exam-intro{background:var(--surface);border:1px solid var(--border);border-radius:var(--radius);box-shadow:var(--shadow);padding:24px 26px}.exam-intro ul{color:var(--text);margin:0 0 20px;padding-left:20px;line-height:1.9}.mode-toggle{gap:10px;margin-bottom:12px;display:flex}.mode-btn{border:1.5px solid var(--border);color:var(--text);background:#fff;border-radius:10px;flex-direction:column;flex:1;align-items:center;gap:2px;padding:12px;font-size:15px;font-weight:700;transition:all .15s;display:flex}.mode-btn small{color:var(--text-muted);font-size:11px;font-weight:500}.mode-btn:hover{border-color:var(--blue-light)}.mode-btn.active{border-color:var(--kerala-blue);color:var(--kerala-blue);background:#eef4fb}.exam-mode-note{color:var(--text-muted);border-left:3px solid var(--blue-light);background:#f0f6ff;border-radius:6px;margin:0 0 14px;padding:9px 12px;font-size:13px;line-height:1.5}.exam-emphasis{color:#6b3fa0;background:#f3eefb;border:1px solid #e0d4f3;border-radius:10px;margin-bottom:12px;padding:10px 14px;font-size:14px}.exam-bar{z-index:5;background:var(--surface);border:1px solid var(--border);border-radius:var(--radius);box-shadow:var(--shadow);align-items:center;gap:14px;margin-bottom:14px;padding:12px 16px;display:flex;position:sticky;top:0}.exam-timer{color:var(--kerala-blue);font-variant-numeric:tabular-nums;font-size:20px;font-weight:800}.exam-timer.low{color:var(--hard);animation:1s infinite pulse}@keyframes pulse{50%{opacity:.55}}.exam-progress{color:var(--text-muted);font-size:14px;font-weight:600}.exam-submit{margin-left:auto}.exam-nav{flex-wrap:wrap;gap:7px;margin-bottom:14px;display:flex}.exam-dot{border:1.5px solid var(--border);width:34px;height:34px;color:var(--text-muted);background:#fff;border-radius:8px;font-size:13px;font-weight:700;transition:all .12s}.exam-dot:hover{border-color:var(--blue-light)}.exam-dot.done{border-color:var(--kerala-green);color:var(--kerala-green);background:#e6f4ec}.exam-dot.current{outline:2px solid var(--kerala-blue);outline-offset:1px;color:var(--kerala-blue)}.option.selected{border-color:var(--kerala-blue);background:#eef4fb}.option.selected .label{background:var(--kerala-blue);color:#fff}.review-list{flex-direction:column;gap:12px;display:flex}.review-item{background:var(--surface);border:1px solid var(--border);box-shadow:var(--shadow);border-left-width:4px;border-radius:10px;padding:14px 16px}.review-item.ok{border-left-color:var(--kerala-green)}.review-item.bad{border-left-color:var(--hard)}.review-q{margin-bottom:8px;font-weight:500;line-height:1.5}.review-num{color:var(--text-muted);font-weight:700}.review-ans{flex-wrap:wrap;gap:14px;margin-bottom:8px;font-size:14px;font-weight:600;display:flex}.review-correct{color:var(--kerala-green)}.review-wrong{color:var(--hard)}.review-explain{color:var(--text-muted);background:#f7f9fc;border-radius:8px;padding:10px 12px;font-size:14px;line-height:1.55}.review-explain strong{color:var(--kerala-blue)}.empty-state{background:var(--surface);border:1px solid var(--border);border-radius:var(--radius);text-align:center;color:var(--text-muted);box-shadow:var(--shadow);padding:36px;font-size:15px}.stat-grid{grid-template-columns:repeat(auto-fit,minmax(150px,1fr));gap:14px;margin-bottom:22px;display:grid}.stat-card{background:var(--surface);border:1px solid var(--border);border-radius:var(--radius);text-align:center;box-shadow:var(--shadow);padding:20px}.stat-value{color:var(--kerala-blue);font-size:30px;font-weight:800}.stat-label{color:var(--text-muted);margin-top:4px;font-size:13px}.insight-row{grid-template-columns:repeat(auto-fit,minmax(240px,1fr));gap:14px;margin-bottom:8px;display:grid}.insight{background:var(--surface);border:1px solid var(--border);border-radius:var(--radius);box-shadow:var(--shadow);padding:16px 18px}.insight h4{margin:0 0 10px;font-size:14px}.tag-row{flex-wrap:wrap;gap:8px;display:flex}.tag{border-radius:20px;padding:4px 12px;font-size:13px;font-weight:600}.tag-strong{background:var(--correct-bg);color:var(--kerala-green)}.tag-weak{color:var(--medium);background:#fdf0e3}.section-title{color:var(--kerala-blue);margin:26px 0 12px;font-size:18px}.mastery-list{flex-direction:column;gap:14px;display:flex}.mastery-row{background:var(--surface);border:1px solid var(--border);box-shadow:var(--shadow);border-radius:10px;padding:12px 16px}.mastery-head{flex-wrap:wrap;justify-content:space-between;align-items:center;gap:10px;margin-bottom:8px;display:flex}.mastery-name{font-size:15px;font-weight:600}.mastery-badge{color:#fff;background:var(--kerala-green);border-radius:20px;margin-left:6px;padding:2px 8px;font-size:11px;font-weight:700}.mastery-pct{color:var(--text-muted);font-size:13px;font-weight:600}.mastery-track{background:#eef2f7;border-radius:6px;height:8px;overflow:hidden}.mastery-fill{border-radius:6px;height:100%;transition:width .4s}.mastery-fill.hi{background:var(--kerala-green)}.mastery-fill.mid{background:var(--medium)}.mastery-fill.lo{background:var(--hard)}.trend-wrap{background:var(--surface);border:1px solid var(--border);border-radius:var(--radius);box-shadow:var(--shadow);padding:14px}.trend-chart{width:100%;height:auto;display:block}.trend-grid{stroke:var(--border);stroke-width:1px}.trend-axis{fill:var(--text-muted);font-size:11px}.trend-bar{fill:var(--blue-light);opacity:.18}.trend-area{fill:var(--blue-light);opacity:.12}.trend-line{stroke:var(--kerala-blue);stroke-width:2.5px;stroke-linejoin:round;stroke-linecap:round}.trend-dot{fill:var(--kerala-blue)}.trend-caption{color:var(--text-muted);margin:8px 2px 0;font-size:12px}.heatmap{grid-template-columns:repeat(auto-fill,minmax(120px,1fr));gap:8px;display:grid}.heat-cell{color:#fff;border-radius:10px;flex-direction:column;justify-content:space-between;gap:4px;min-height:58px;padding:10px 12px;display:flex}.heat-cell.hi{background:var(--kerala-green)}.heat-cell.mid{background:var(--medium)}.heat-cell.lo{background:var(--hard)}.heat-name{font-size:12px;font-weight:600;line-height:1.2}.heat-score{align-self:flex-end;font-size:15px;font-weight:700}.tutor-card{background:var(--surface);border:1px solid var(--border);border-radius:var(--radius);box-shadow:var(--shadow);margin-top:18px;padding:18px 20px}.tutor-header{flex-wrap:wrap;justify-content:space-between;align-items:center;gap:10px;display:flex}.tutor-title{color:var(--kerala-blue);font-size:15px;font-weight:700}.tutor-actions{gap:8px;display:flex}.tutor-chip{color:var(--kerala-blue);background:#eef4f9;border:1px solid #d6e3ee;border-radius:20px;padding:5px 14px;font-size:13px;font-weight:600;transition:background .15s}.tutor-chip:hover:not(:disabled){background:#dfeaf4}.tutor-chip:disabled{opacity:.5;cursor:not-allowed}.tutor-messages{flex-direction:column;gap:10px;max-height:340px;margin-top:14px;padding-right:4px;display:flex;overflow-y:auto}.tutor-msg{white-space:pre-wrap;border-radius:12px;max-width:90%;padding:11px 14px;font-size:14px;line-height:1.55}.tutor-msg.assistant{background:#f0f6ff;border:1px solid #dbe9f7;border-bottom-left-radius:4px;align-self:flex-start}.tutor-msg.user{background:var(--kerala-green);color:#fff;border-bottom-right-radius:4px;align-self:flex-end}.tutor-typing{align-items:center;gap:4px;display:flex}.tutor-typing span{background:var(--blue-light);border-radius:50%;width:7px;height:7px;animation:1s ease-in-out infinite tutor-bounce}.tutor-typing span:nth-child(2){animation-delay:.15s}.tutor-typing span:nth-child(3){animation-delay:.3s}@keyframes tutor-bounce{0%,80%,to{opacity:.5;transform:scale(.6)}40%{opacity:1;transform:scale(1)}}.tutor-error{background:var(--wrong-bg);border:1px solid var(--wrong-border);color:var(--hard);border-radius:8px;padding:10px 12px;font-size:13px}.tutor-ask{gap:8px;margin-top:14px;display:flex}.tutor-ask input{border:1.5px solid var(--border);border-radius:8px;flex:1;padding:10px 12px;font-family:inherit;font-size:14px}.tutor-ask input:focus{border-color:var(--kerala-green);outline:none}.label-row{justify-content:space-between;align-items:center;display:flex}.pw-toggle{color:var(--blue-light);background:0 0;border:none;border-radius:6px;padding:2px 6px;font-size:12px;font-weight:600}.pw-toggle:hover{color:var(--kerala-blue);background:#eef2f7}.written-controls{flex-wrap:wrap;align-items:center;gap:14px;margin:18px 0 4px;display:flex}.written-mode{flex:300px;max-width:420px;margin-bottom:0}.written-chapter{color:var(--text);border:1.5px solid var(--border);background:#fff;border-radius:10px;padding:9px 12px;font-weight:600}.written-chapter option{color:var(--text)}.written-list{flex-direction:column;gap:16px;margin-top:16px;display:flex}.written-card{background:var(--surface);border:1px solid var(--border);border-radius:var(--radius);box-shadow:var(--shadow);padding:18px 20px}.written-head{align-items:center;gap:10px;margin-bottom:10px;display:flex}.written-num{color:var(--kerala-blue);font-weight:800}.written-marks{color:var(--text-muted);background:#eef4fb;border-radius:999px;margin-left:auto;padding:3px 10px;font-size:12px;font-weight:700}.written-q{margin:0 0 12px;font-size:16px;font-weight:600;line-height:1.5}.written-input{border:1.5px solid var(--border);resize:vertical;box-sizing:border-box;border-radius:10px;width:100%;padding:12px;font-family:inherit;font-size:14px;line-height:1.5}.written-input:focus{border-color:var(--blue-light);outline:none}.written-actions{flex-wrap:wrap;gap:10px;margin-top:12px;display:flex}.written-result{border:1px solid var(--border);background:var(--bg);border-radius:10px;margin-top:14px;padding:14px 16px}.written-result.hi{background:var(--correct-bg);border-color:var(--correct-border)}.written-result.mid{border-color:var(--medium);background:#fdf6e9}.written-result.lo{background:var(--wrong-bg);border-color:var(--wrong-border)}.written-score{align-items:baseline;gap:10px;display:flex}.written-score-big{color:var(--text);font-size:26px;font-weight:800}.written-score-pct{color:var(--text-muted);font-size:14px;font-weight:700}.written-feedback{margin:8px 0 0;line-height:1.55}.written-points{margin:8px 0 0;font-size:13.5px;line-height:1.5}.written-points.ok{color:var(--kerala-green)}.written-points.miss{color:var(--medium)}.written-model{border-left:3px solid var(--kerala-green);background:#f3faf6;border-radius:0 8px 8px 0;margin-top:14px;padding:12px 16px}.written-model strong{text-transform:uppercase;letter-spacing:.04em;color:var(--kerala-green);margin-bottom:6px;font-size:13px;display:block}.written-model p{margin:0;line-height:1.6}.written-keypoints{margin:10px 0 0;padding-left:20px}.written-keypoints li{margin-bottom:4px;line-height:1.5}p.ai-note{color:var(--text-muted,#6b7280);margin:10px 0 0;font-size:12px;font-style:italic}.exam-portion{margin:14px 0 4px}.exam-portion-label{margin-bottom:6px;font-size:14px;font-weight:600;display:block}.exam-portion select{width:100%}.plan-quarters{grid-template-columns:repeat(auto-fit,minmax(240px,1fr));gap:14px;display:grid}.plan-quarter{border:1px solid var(--border);background:#fff;border-radius:12px;padding:14px 16px}.plan-quarter-head{align-items:baseline;gap:8px;display:flex}.plan-quarter-id{color:var(--kerala-blue);background:var(--bg);border-radius:6px;padding:1px 8px;font-size:14px;font-weight:800}.plan-quarter-months{color:var(--text-muted,#6b7280);font-size:13px}.plan-quarter-focus{margin:8px 0 12px;font-size:14px;line-height:1.45}.plan-assessment{border-top:1px dashed var(--border);justify-content:space-between;align-items:center;gap:10px;padding-top:10px;display:flex}.plan-assessment strong{font-size:14px;display:block}.plan-coverage{color:var(--text-muted,#6b7280);font-size:12px;display:block}.plan-take{white-space:nowrap;padding:6px 12px;font-size:13px}.plan-timetables{grid-template-columns:1fr 1fr;gap:16px;display:grid}.plan-timetable{border:1px solid var(--border);border-radius:12px;padding:12px 16px}.plan-tt-title{color:var(--kerala-blue);margin:0 0 8px;font-size:15px}.plan-tt-row{border-bottom:1px solid #f0f3f7;gap:12px;padding:5px 0;font-size:13.5px;display:flex}.plan-tt-row:last-child{border-bottom:none}.plan-tt-time{color:var(--text-muted,#6b7280);font-variant-numeric:tabular-nums;flex:0 0 110px}.plan-tt-act{flex:1}@media (width<=720px){.plan-timetables{grid-template-columns:1fr}}.notes-sub{color:var(--text-muted);margin:0 0 16px}.notes-empty{color:var(--text-muted)}.notes-layout{grid-template-columns:260px 1fr;align-items:start;gap:20px;display:grid}.notes-list{flex-direction:column;gap:8px;display:flex;position:sticky;top:84px}.notes-item{text-align:left;background:var(--surface);border:1px solid var(--border);border-radius:var(--radius);cursor:pointer;flex-direction:column;gap:2px;padding:10px 12px;transition:border-color .15s,box-shadow .15s;display:flex}.notes-item:hover{border-color:var(--blue-light)}.notes-item.active{border-color:var(--kerala-blue);box-shadow:var(--shadow)}.notes-item-title{color:var(--text);font-size:.92rem;font-weight:600}.notes-item-tag{color:var(--text-muted);text-transform:uppercase;letter-spacing:.03em;font-size:.72rem}.notes-doc{background:var(--surface);border:1px solid var(--border);border-radius:var(--radius);box-shadow:var(--shadow);min-height:300px;padding:24px 28px}.notes-doc-head{color:var(--kerala-blue);border-bottom:2px solid var(--border);margin-bottom:12px;padding-bottom:10px;font-size:1.15rem;font-weight:700}.md-body{color:var(--text);font-size:.95rem;line-height:1.6}.md-h1{color:var(--kerala-blue);margin:18px 0 10px;font-size:1.5rem}.md-h2{color:var(--kerala-blue);margin:22px 0 8px;font-size:1.2rem}.md-h3{color:var(--kerala-green);margin:16px 0 6px;font-size:1.02rem}.md-p{margin:8px 0}.md-ul{margin:8px 0 8px 4px;padding-left:20px}.md-ul li{margin:4px 0}.md-hr{border:none;border-top:1px solid var(--border);margin:18px 0}.md-quote{border-left:4px solid var(--blue-light);background:var(--bg);color:var(--text-muted);margin:10px 0;padding:8px 14px}.md-code{background:var(--bg);border:1px solid var(--border);border-radius:5px;padding:1px 5px;font-size:.85em}.md-table-wrap{margin:12px 0;overflow-x:auto}.md-table{border-collapse:collapse;width:100%;font-size:.9rem}.md-table th,.md-table td{border:1px solid var(--border);text-align:left;padding:7px 10px}.md-table th{background:var(--bg);color:var(--kerala-blue);font-weight:600}.md-table tr:nth-child(2n) td{background:#fafcfe}.rt-p{margin:0}.rt-p+.rt-p,.rt-p+.rt-table-wrap,.rt-table-wrap+.rt-p{margin-top:10px}.rt-table-wrap{margin:12px 0;overflow-x:auto}.rt-table{border-collapse:collapse;font-size:.95rem}.rt-table th,.rt-table td{border:1px solid var(--border);text-align:center;white-space:nowrap;padding:6px 12px}.rt-table th[scope=row]{background:var(--bg);color:var(--kerala-blue);text-align:left;font-weight:700}@media (width<=720px){.notes-layout{grid-template-columns:1fr}.notes-list{flex-flow:wrap;position:static}.notes-item{flex:160px}}.indic-box{position:relative}.indic-sugs{background:var(--card,#fff);border:1px solid var(--border,#e2e8f0);border-radius:10px;flex-wrap:wrap;align-items:center;gap:6px;margin-top:6px;padding:8px 10px;display:flex;box-shadow:0 4px 14px #00000014}.indic-sug{border:1px solid var(--border,#e2e8f0);background:var(--bg,#f8fafc);cursor:pointer;border-radius:8px;padding:4px 12px;font-size:1.05rem}.indic-sug:hover{background:var(--accent-soft,#eef2ff)}.indic-hint{color:var(--muted,#64748b);margin-left:auto;font-size:.75rem}.indic-tools{align-items:center;gap:12px;margin-top:8px;display:flex}.indic-toggle{color:var(--muted,#475569);cursor:pointer;-webkit-user-select:none;user-select:none;align-items:center;gap:6px;font-size:.85rem;display:inline-flex}.indic-mic{padding:4px 14px;font-size:.85rem}.indic-mic.listening{color:#dc2626;border-color:#dc2626;animation:1.2s infinite indicPulse}@keyframes indicPulse{50%{opacity:.55}}.testmaker-form{background:var(--card,#fff);border:1px solid var(--border,#e2e8f0);border-radius:12px;margin-bottom:20px;padding:18px}.testmaker-row{flex-wrap:wrap;gap:14px;margin-bottom:14px;display:flex}.testmaker-field{color:var(--muted,#475569);flex-direction:column;gap:4px;font-size:.85rem;display:flex}.testmaker-field input,.testmaker-field select{border:1px solid var(--border,#e2e8f0);border-radius:8px;min-width:130px;padding:7px 10px;font-size:.95rem}.testmaker-chapters{margin-bottom:14px}.testmaker-chapters-head{color:var(--muted,#475569);align-items:center;gap:10px;margin-bottom:6px;font-size:.85rem;display:flex}.btn-link{color:var(--accent,#2563eb);cursor:pointer;background:0 0;border:none;padding:0;font-size:.8rem}.testmaker-chapter-list{flex-wrap:wrap;gap:8px;max-height:200px;display:flex;overflow-y:auto}.testmaker-chapter{border:1px solid var(--border,#e2e8f0);cursor:pointer;-webkit-user-select:none;user-select:none;border-radius:999px;align-items:center;gap:6px;padding:4px 12px;font-size:.85rem;display:inline-flex}.testmaker-chapter.on{background:var(--accent-soft,#eef2ff);border-color:var(--accent,#2563eb)}.testmaker-result{background:var(--card,#fff);border:1px solid var(--border,#e2e8f0);border-radius:12px;margin-bottom:20px;padding:18px}.test-code{background:var(--accent-soft,#eef2ff);border-radius:8px;margin-left:8px;padding:2px 10px;font-family:monospace;font-size:1rem}.testmaker-actions{flex-wrap:wrap;gap:10px;margin:12px 0;display:flex}.testmaker-warn{color:#b45309;font-size:.9rem}.testmaker-preview{flex-direction:column;gap:10px;margin-top:14px;display:flex}.testmaker-previewrow{border-top:1px solid var(--border,#eef2f7);align-items:flex-start;gap:10px;padding-top:10px;display:flex}.taketest-timer{margin-left:10px}.taketest-timer.low{color:#dc2626}.taketest-options{flex-direction:column;gap:8px;margin-top:10px;display:flex}.taketest-option{border:1px solid var(--border,#e2e8f0);cursor:pointer;border-radius:10px;align-items:baseline;gap:8px;padding:8px 12px;display:flex}.taketest-option.picked{background:var(--accent-soft,#eef2ff);border-color:var(--accent,#2563eb)}.taketest-review{border-top:1px solid var(--border,#eef2f7);align-items:flex-start;gap:10px;padding:10px 0;display:flex}.taketest-review.ok small{color:#16a34a}.taketest-review.bad small{color:#dc2626}.print-paper{display:none}@media print{.topbar,nav,.no-print,main>:not(.container),.container>.no-print{display:none!important}.print-paper{color:#000;font-size:12pt;display:block}.print-head{text-align:center;border-bottom:2px solid #000;margin-bottom:12pt;padding-bottom:6pt}.print-head h2{margin:0 0 4pt;font-size:15pt}.print-head p{margin:2pt 0;font-size:10pt}.print-lines{text-align:left;margin-top:8pt!important}.print-section h3{border-bottom:1px solid #000;margin:12pt 0 6pt;padding-bottom:2pt;font-size:12pt}.print-q{break-inside:avoid;margin-bottom:8pt}.print-qhead{align-items:flex-start;gap:6pt;display:flex}.print-qnum{min-width:18pt;font-weight:700}.print-qtext{flex:1}.print-options{margin:4pt 0 0 14pt;padding:0}.print-options li{margin-bottom:2pt}.print-marks{white-space:nowrap;font-weight:700}.print-answer{border-left:2pt solid #000;margin:4pt 0 0;padding-left:8pt}}.testmaker-preview-options{margin:6px 0 4px;padding:0 0 0 4px;font-size:.9rem;list-style:none}.testmaker-preview-options li{color:var(--muted,#475569);margin:2px 0}.testmaker-preview-options li.correct{color:#16a34a;font-weight:600}.role-choice>span,.subject-choice>span{margin-bottom:6px;font-size:.85rem;font-weight:600;display:block}.role-options{gap:10px;display:flex}.role-options label,.subject-options label{border:1px solid var(--border,#e2e8f0);cursor:pointer;-webkit-user-select:none;user-select:none;border-radius:10px;align-items:center;gap:6px;padding:8px 14px;font-size:.9rem;display:inline-flex}.role-options label.on,.subject-options label.on{background:var(--accent-soft,#eef2ff);border-color:var(--accent,#2563eb);font-weight:600}.subject-options{flex-wrap:wrap;gap:8px;display:flex}.subject-options label{border-radius:999px;padding:5px 12px;font-size:.85rem}.subject-choice small{color:var(--muted,#64748b);font-weight:400}.flashcards-page{text-align:center;max-width:640px;margin:0 auto;padding:28px 20px 60px}.flashcards-progress{color:var(--muted,#64748b);margin:0 0 20px;font-size:14px}.flashcard{perspective:1200px;cursor:pointer;min-height:260px;margin:0 auto 24px}.flashcard-inner{width:100%;min-height:260px;transform-style:preserve-3d;transition:transform .5s;position:relative}.flashcard.is-flipped .flashcard-inner{transform:rotateY(180deg)}.flashcard-face{backface-visibility:hidden;border:1px solid var(--border);box-shadow:var(--shadow);border-radius:14px;flex-direction:column;justify-content:center;align-items:center;gap:14px;padding:32px 24px;font-size:18px;line-height:1.5;display:flex;position:absolute;inset:0}.flashcard-front{color:var(--text);background:#fff}.flashcard-back{background:var(--kerala-blue);color:#fff;font-weight:600;transform:rotateY(180deg)}.flashcard-hint{color:var(--muted,#64748b);font-size:12px;font-weight:400}.flashcard-explanation{opacity:.9;margin:0;font-size:14px;font-weight:400}.flashcards-actions{justify-content:center;gap:12px;display:flex}.flashcards-done h2{margin:0 0 12px}.flashcards-done .btn{margin-top:16px}.topbar-landing{background:linear-gradient(135deg,#667eea 0%,#764ba2 100%)}.topbar-landing nav{flex:1;gap:30px;margin-left:50px;display:flex}.topbar-landing nav a{color:#ffffffe6;font-weight:500;transition:color .3s}.topbar-landing nav a:hover{color:#fff}.session-warning{z-index:1000;background:#fffbeb;border:1px solid #fcd34d;border-radius:12px;align-items:center;gap:14px;max-width:460px;padding:14px 18px;display:flex;position:fixed;bottom:20px;right:20px;box-shadow:0 8px 24px #00000026}.session-warning-icon{font-size:24px}.session-warning-text{color:#78350f;flex-direction:column;gap:2px;font-size:14px;display:flex}.session-warning-actions{flex-direction:column;gap:6px;display:flex}.session-warning-actions .btn{white-space:nowrap;padding:6px 12px;font-size:13px}.verify-banner{color:#1e3a8a;background:#eff6ff;border-bottom:1px solid #bfdbfe;flex-wrap:wrap;align-items:center;gap:10px;padding:8px 16px;font-size:14px;display:flex}.verify-banner .link-btn{font-size:14px}.verify-banner-sent{color:#065f46;font-weight:600}.verify-banner-error{color:#b91c1c}.verify-banner-close{cursor:pointer;color:#1e3a8a;background:0 0;border:none;margin-left:auto;font-size:18px;line-height:1}.similar-note{color:var(--text-muted,#64748b);align-self:center;font-size:13px}.teacher-inst-card{background:var(--surface,#fff);border:1px solid var(--border,#e2e8f0);border-radius:12px;margin-bottom:24px;padding:20px}.teacher-inst-stats{gap:32px;margin-top:10px;display:flex}.teacher-inst-stats div{flex-direction:column;display:flex}.teacher-inst-stats strong{font-size:24px}.teacher-inst-stats span{color:var(--text-muted,#64748b);font-size:13px}.teacher-weak-list{margin:8px 0 0;padding-left:18px;font-size:14px}.teacher-weak-list li{margin-bottom:4px}.roster-table{border-collapse:collapse;background:var(--surface,#fff);border:1px solid var(--border,#e2e8f0);border-radius:12px;width:100%;overflow:hidden}.roster-table th,.roster-table td{text-align:left;border-bottom:1px solid var(--border,#e2e8f0);padding:10px 14px;font-size:14px}.roster-table th{background:var(--surface-alt,#f8fafc);font-weight:600}.roster-row{cursor:pointer}.roster-row:hover{background:var(--surface-alt,#f8fafc)}.roster-detail-overlay{z-index:1200;background:#0f172a80;justify-content:center;align-items:flex-start;padding:60px 20px;display:flex;position:fixed;inset:0}.roster-detail{background:#fff;border-radius:12px;width:100%;max-width:560px;max-height:80vh;padding:24px;overflow-y:auto}.roster-detail-head{justify-content:space-between;align-items:center;margin-bottom:8px;display:flex}.learn-search{border:1px solid var(--border,#e2e8f0);background:var(--surface,#fff);border-radius:10px;width:100%;margin:4px 0 20px;padding:12px 16px;font-size:15px}.learn-search-results{flex-direction:column;gap:12px;display:flex}.learn-search-hit{background:var(--surface,#fff);border:1px solid var(--border,#e2e8f0);color:inherit;border-radius:12px;padding:14px 18px;text-decoration:none;display:block}.learn-search-hit:hover{border-color:var(--blue-light,#2563eb)}.learn-search-hit h3{margin:0 0 6px;font-size:16px}.learn-search-hit p{color:var(--text-muted,#64748b);margin:0;font-size:13.5px}.learn-reviewed{color:var(--text-muted,#64748b);margin:-6px 0 14px;font-size:13px}.qa-preview{border-top:2px solid var(--border,#e2e8f0);margin-top:32px;padding-top:20px}.qa-preview h2{margin:0 0 4px;font-size:20px}.qa-preview-card{background:var(--surface,#fff);border:1px solid var(--border,#e2e8f0);border-radius:12px;margin:12px 0;padding:14px 18px}.qa-preview-head{justify-content:space-between;align-items:baseline;margin-bottom:8px;display:flex}.qa-preview-meta{color:var(--text-muted,#64748b);text-transform:capitalize;font-size:12px}.qa-preview-options{margin:0;padding:8px 0 0;font-size:14px;list-style:none}.qa-preview-options li{padding:3px 0}.site-footer{border-top:1px solid var(--border,#e2e8f0);flex-wrap:wrap;justify-content:center;gap:8px 24px;margin-top:48px;padding:24px 16px;font-size:13px;display:flex}.site-footer a{color:var(--text-muted,#64748b);text-decoration:none}.site-footer a:hover{color:var(--brand,#1e40af);text-decoration:underline}.landing{background:linear-gradient(135deg,#f5f7fa 0%,#c3cfe2 100%);min-height:100vh;padding-bottom:80px}.hero{background:#fff;border-radius:20px;grid-template-columns:1fr 1fr;align-items:center;gap:60px;max-width:1200px;margin:40px auto 0;padding:80px 40px;display:grid;box-shadow:0 10px 40px #00000014}.hero-content h1{background:linear-gradient(135deg,#667eea 0%,#764ba2 100%);-webkit-text-fill-color:transparent;-webkit-background-clip:text;background-clip:text;margin:0;font-size:64px;font-weight:900}.hero-content .tagline{color:#2d3748;margin:10px 0 20px;font-size:28px;font-weight:600}.hero-content .subtitle{color:#718096;max-width:500px;margin-bottom:30px;font-size:18px;line-height:1.6}.hero-ctas{flex-wrap:wrap;gap:15px;display:flex}.btn{cursor:pointer;text-align:center;border:none;border-radius:8px;padding:12px 32px;font-size:16px;font-weight:600;text-decoration:none;transition:all .3s;display:inline-block}.btn-primary{color:#fff;background:linear-gradient(135deg,#667eea 0%,#764ba2 100%)}.btn-primary:hover{transform:translateY(-2px);box-shadow:0 10px 20px #667eea66}.btn-secondary{color:#667eea;background:#fff;border:2px solid #667eea}.btn-secondary:hover{background:#f7fafc}.btn-outline{color:#667eea;background:0 0;border:2px solid #667eea}.btn-outline:hover{background:#f7fafc}.btn-large{padding:16px 48px;font-size:18px}.hero-stats{grid-template-columns:1fr 1fr;gap:30px;display:grid}.stat{text-align:center;background:linear-gradient(135deg,#f5f7fa 0%,#c3cfe2 100%);border-radius:12px;padding:30px}.stat-number{color:#667eea;margin-bottom:10px;font-size:36px;font-weight:900}.stat-label{color:#718096;font-size:14px;font-weight:600}.boards{max-width:1200px;margin:0 auto;padding:80px 40px}.boards h2,.features h2,.why-kaabil h2,.pricing h2,.cta-section h2{text-align:center;color:#2d3748;margin:0 0 20px;font-size:42px;font-weight:900}.section-subtitle{text-align:center;color:#718096;max-width:600px;margin-bottom:50px;margin-left:auto;margin-right:auto;font-size:18px}.boards-grid{grid-template-columns:repeat(auto-fit,minmax(250px,1fr));gap:30px;display:grid}.board-card{text-align:center;background:#fff;border-radius:16px;padding:40px 30px;transition:all .3s;box-shadow:0 4px 15px #00000014}.board-card:hover{transform:translateY(-10px);box-shadow:0 15px 35px #0000001f}.board-icon{margin-bottom:20px;font-size:48px}.board-card h3{color:#2d3748;margin:15px 0 5px;font-size:24px;font-weight:700}.board-card p{color:#718096;margin-bottom:20px;font-size:14px}.board-stats{border-top:1px solid #e2e8f0;flex-direction:column;gap:8px;padding-top:20px;display:flex}.board-stats span{color:#667eea;font-size:13px;font-weight:600}.features{background:#fff;border-radius:20px;max-width:1200px;margin:40px auto;padding:80px 40px;box-shadow:0 10px 40px #00000014}.features-grid{grid-template-columns:repeat(auto-fit,minmax(300px,1fr));gap:40px;display:grid}.feature{text-align:center}.feature-icon{margin-bottom:20px;font-size:48px;display:block}.feature h3{color:#2d3748;margin:15px 0;font-size:20px;font-weight:700}.feature p{color:#718096;margin:0;font-size:15px;line-height:1.6}.why-kaabil{max-width:1200px;margin:40px auto;padding:80px 40px}.why-grid{grid-template-columns:repeat(auto-fit,minmax(250px,1fr));gap:30px;display:grid}.why-item{text-align:center;background:#fff;border-radius:16px;padding:40px;transition:all .3s;box-shadow:0 4px 15px #00000014}.why-item:hover{box-shadow:0 10px 30px #0000001f}.why-number{margin-bottom:15px;font-size:40px}.why-item h3{color:#2d3748;margin:0 0 15px;font-size:20px;font-weight:700}.why-item p{color:#718096;margin:0;font-size:15px;line-height:1.6}.pricing{background:#fff;border-radius:20px;max-width:1200px;margin:40px auto;padding:80px 40px;box-shadow:0 10px 40px #00000014}.pricing-grid{grid-template-columns:repeat(auto-fit,minmax(300px,1fr));gap:30px;display:grid}.price-card{text-align:center;background:#f7fafc;border:2px solid #e2e8f0;border-radius:16px;padding:40px;transition:all .3s;position:relative}.price-card.featured{color:#fff;background:linear-gradient(135deg,#667eea 0%,#764ba2 100%);border:none;transform:scale(1.05);box-shadow:0 15px 35px #667eea4d}.price-card.featured .badge{color:#78350f;background:#fbbf24;border-radius:20px;padding:6px 16px;font-size:12px;font-weight:700;position:absolute;top:-12px;left:50%;transform:translate(-50%)}.price-card h3{color:inherit;margin:0 0 15px;font-size:24px;font-weight:700}.price-card .price{color:#667eea;margin:20px 0;font-size:48px;font-weight:900}.price-card.featured .price{color:#fff}.price-card .price span{color:#718096;font-size:16px;font-weight:600}.price-card.featured .price span{color:#fffc}.features-list{text-align:left;color:#2d3748;margin:30px 0;padding:0;list-style:none}.price-card.featured .features-list{color:#fff}.features-list li{border-bottom:1px solid #e2e8f0;padding:10px 0;font-size:15px}.price-card.featured .features-list li{border-bottom-color:#fff3}.features-list li:last-child{border-bottom:none}.price-card .btn{width:100%;margin-top:30px}.cta-section{text-align:center;color:#fff;background:linear-gradient(135deg,#667eea 0%,#764ba2 100%);border-radius:20px;max-width:1000px;margin:40px auto;padding:80px 40px}.cta-section h2{color:#fff;margin-bottom:15px;font-size:42px}.cta-section p{color:#ffffffe6;margin-bottom:40px;font-size:18px}.cta-buttons{flex-wrap:wrap;justify-content:center;gap:20px;display:flex}.cta-buttons .btn{color:#667eea;background:#fff;min-width:200px}.cta-buttons .btn:hover{background:#f7fafc}.landing-footer{color:#cbd5e0;background:#1a202c;margin-top:80px;padding:60px 40px 30px}.footer-content{grid-template-columns:repeat(auto-fit,minmax(250px,1fr));gap:40px;max-width:1200px;margin:0 auto 40px;display:grid}.footer-section h4{color:#fff;margin:0 0 15px;font-size:16px;font-weight:700}.footer-section p{color:#a0aec0;margin:0;font-size:14px;line-height:1.6}.footer-section ul{margin:0;padding:0;list-style:none}.footer-section ul li{margin-bottom:10px}.footer-section ul a{color:#cbd5e0;text-decoration:none;transition:color .3s}.footer-section ul a:hover{color:#fff}.footer-bottom{text-align:center;border-top:1px solid #2d3748;max-width:1200px;margin:0 auto;padding-top:30px}.footer-bottom p{color:#a0aec0;margin:5px 0;font-size:14px}@media (width<=768px){.hero{grid-template-columns:1fr;gap:40px;padding:40px 20px}.hero-content h1{font-size:42px}.hero-content .tagline{font-size:22px}.hero-ctas{flex-direction:column}.hero-stats{grid-template-columns:1fr 1fr}.boards,.features,.why-kaabil,.pricing,.cta-section{padding:40px 20px}.boards h2,.features h2,.why-kaabil h2,.pricing h2,.cta-section h2{font-size:32px}.features-grid,.boards-grid,.why-grid,.pricing-grid{gap:20px}.price-card.featured{transform:scale(1)}.cta-buttons{flex-direction:column}.cta-buttons .btn{min-width:100%}}@media (width<=480px){.hero-content h1{font-size:32px}.hero-content .tagline{font-size:18px}.boards h2,.features h2,.why-kaabil h2,.pricing h2,.cta-section h2{font-size:24px}.hero-stats{grid-template-columns:1fr}.stat-number{font-size:28px}}@font-face{font-display:block;font-family:KaTeX_AMS;font-style:normal;font-weight:400;src:url(/assets/KaTeX_AMS-Regular-BQhdFMY1.woff2)format("woff2"),url(/assets/KaTeX_AMS-Regular-DMm9YOAa.woff)format("woff"),url(/assets/KaTeX_AMS-Regular-DRggAlZN.ttf)format("truetype")}@font-face{font-display:block;font-family:KaTeX_Caligraphic;font-style:normal;font-weight:700;src:url(/assets/KaTeX_Caligraphic-Bold-Dq_IR9rO.woff2)format("woff2"),url(/assets/KaTeX_Caligraphic-Bold-BEiXGLvX.woff)format("woff"),url(/assets/KaTeX_Caligraphic-Bold-ATXxdsX0.ttf)format("truetype")}@font-face{font-display:block;font-family:KaTeX_Caligraphic;font-style:normal;font-weight:400;src:url(/assets/KaTeX_Caligraphic-Regular-Di6jR-x-.woff2)format("woff2"),url(/assets/KaTeX_Caligraphic-Regular-CTRA-rTL.woff)format("woff"),url(/assets/KaTeX_Caligraphic-Regular-wX97UBjC.ttf)format("truetype")}@font-face{font-display:block;font-family:KaTeX_Fraktur;font-style:normal;font-weight:700;src:url(/assets/KaTeX_Fraktur-Bold-CL6g_b3V.woff2)format("woff2"),url(/assets/KaTeX_Fraktur-Bold-BsDP51OF.woff)format("woff"),url(/assets/KaTeX_Fraktur-Bold-BdnERNNW.ttf)format("truetype")}@font-face{font-display:block;font-family:KaTeX_Fraktur;font-style:normal;font-weight:400;src:url(/assets/KaTeX_Fraktur-Regular-CTYiF6lA.woff2)format("woff2"),url(/assets/KaTeX_Fraktur-Regular-Dxdc4cR9.woff)format("woff"),url(/assets/KaTeX_Fraktur-Regular-CB_wures.ttf)format("truetype")}@font-face{font-display:block;font-family:KaTeX_Main;font-style:normal;font-weight:700;src:url(/assets/KaTeX_Main-Bold-Cx986IdX.woff2)format("woff2"),url(/assets/KaTeX_Main-Bold-Jm3AIy58.woff)format("woff"),url(/assets/KaTeX_Main-Bold-waoOVXN0.ttf)format("truetype")}@font-face{font-display:block;font-family:KaTeX_Main;font-style:italic;font-weight:700;src:url(/assets/KaTeX_Main-BoldItalic-DxDJ3AOS.woff2)format("woff2"),url(/assets/KaTeX_Main-BoldItalic-SpSLRI95.woff)format("woff"),url(/assets/KaTeX_Main-BoldItalic-DzxPMmG6.ttf)format("truetype")}@font-face{font-display:block;font-family:KaTeX_Main;font-style:italic;font-weight:400;src:url(/assets/KaTeX_Main-Italic-NWA7e6Wa.woff2)format("woff2"),url(/assets/KaTeX_Main-Italic-BMLOBm91.woff)format("woff"),url(/assets/KaTeX_Main-Italic-3WenGoN9.ttf)format("truetype")}@font-face{font-display:block;font-family:KaTeX_Main;font-style:normal;font-weight:400;src:url(/assets/KaTeX_Main-Regular-B22Nviop.woff2)format("woff2"),url(/assets/KaTeX_Main-Regular-Dr94JaBh.woff)format("woff"),url(/assets/KaTeX_Main-Regular-ypZvNtVU.ttf)format("truetype")}@font-face{font-display:block;font-family:KaTeX_Math;font-style:italic;font-weight:700;src:url(/assets/KaTeX_Math-BoldItalic-CZnvNsCZ.woff2)format("woff2"),url(/assets/KaTeX_Math-BoldItalic-iY-2wyZ7.woff)format("woff"),url(/assets/KaTeX_Math-BoldItalic-B3XSjfu4.ttf)format("truetype")}@font-face{font-display:block;font-family:KaTeX_Math;font-style:italic;font-weight:400;src:url(/assets/KaTeX_Math-Italic-t53AETM-.woff2)format("woff2"),url(/assets/KaTeX_Math-Italic-DA0__PXp.woff)format("woff"),url(/assets/KaTeX_Math-Italic-flOr_0UB.ttf)format("truetype")}@font-face{font-display:block;font-family:KaTeX_SansSerif;font-style:normal;font-weight:700;src:url(/assets/KaTeX_SansSerif-Bold-D1sUS0GD.woff2)format("woff2"),url(/assets/KaTeX_SansSerif-Bold-DbIhKOiC.woff)format("woff"),url(/assets/KaTeX_SansSerif-Bold-CFMepnvq.ttf)format("truetype")}@font-face{font-display:block;font-family:KaTeX_SansSerif;font-style:italic;font-weight:400;src:url(/assets/KaTeX_SansSerif-Italic-C3H0VqGB.woff2)format("woff2"),url(/assets/KaTeX_SansSerif-Italic-DN2j7dab.woff)format("woff"),url(/assets/KaTeX_SansSerif-Italic-YYjJ1zSn.ttf)format("truetype")}@font-face{font-display:block;font-family:KaTeX_SansSerif;font-style:normal;font-weight:400;src:url(/assets/KaTeX_SansSerif-Regular-DDBCnlJ7.woff2)format("woff2"),url(/assets/KaTeX_SansSerif-Regular-CS6fqUqJ.woff)format("woff"),url(/assets/KaTeX_SansSerif-Regular-BNo7hRIc.ttf)format("truetype")}@font-face{font-display:block;font-family:KaTeX_Script;font-style:normal;font-weight:400;src:url(/assets/KaTeX_Script-Regular-D3wIWfF6.woff2)format("woff2"),url(/assets/KaTeX_Script-Regular-D5yQViql.woff)format("woff"),url(/assets/KaTeX_Script-Regular-C5JkGWo-.ttf)format("truetype")}@font-face{font-display:block;font-family:KaTeX_Size1;font-style:normal;font-weight:400;src:url(/assets/KaTeX_Size1-Regular-mCD8mA8B.woff2)format("woff2"),url(/assets/KaTeX_Size1-Regular-C195tn64.woff)format("woff"),url(/assets/KaTeX_Size1-Regular-Dbsnue_I.ttf)format("truetype")}@font-face{font-display:block;font-family:KaTeX_Size2;font-style:normal;font-weight:400;src:url(/assets/KaTeX_Size2-Regular-Dy4dx90m.woff2)format("woff2"),url(/assets/KaTeX_Size2-Regular-oD1tc_U0.woff)format("woff"),url(/assets/KaTeX_Size2-Regular-B7gKUWhC.ttf)format("truetype")}@font-face{font-display:block;font-family:KaTeX_Size3;font-style:normal;font-weight:400;src:url(data:font/woff2;base64,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)format("woff2"),url(/assets/KaTeX_Size3-Regular-CTq5MqoE.woff)format("woff"),url(/assets/KaTeX_Size3-Regular-DgpXs0kz.ttf)format("truetype")}@font-face{font-display:block;font-family:KaTeX_Size4;font-style:normal;font-weight:400;src:url(/assets/KaTeX_Size4-Regular-Dl5lxZxV.woff2)format("woff2"),url(/assets/KaTeX_Size4-Regular-BF-4gkZK.woff)format("woff"),url(/assets/KaTeX_Size4-Regular-DWFBv043.ttf)format("truetype")}@font-face{font-display:block;font-family:KaTeX_Typewriter;font-style:normal;font-weight:400;src:url(/assets/KaTeX_Typewriter-Regular-CO6r4hn1.woff2)format("woff2"),url(/assets/KaTeX_Typewriter-Regular-C0xS9mPB.woff)format("woff"),url(/assets/KaTeX_Typewriter-Regular-D3Ib7_Hf.ttf)format("truetype")}.katex{text-indent:0;text-rendering:auto;font:1.21em/1.2 KaTeX_Main,Times New Roman,serif;position:relative}.katex *{border-color:currentColor;-ms-high-contrast-adjust:none!important}.katex .katex-version:after{content:"0.16.47"}.katex .katex-mathml{clip-path:inset(50%);border:0;width:1px;height:1px;padding:0;position:absolute;overflow:hidden}.katex .katex-html>.newline{display:block}.katex .base{white-space:nowrap;width:min-content;position:relative}.katex .base,.katex .strut{display:inline-block}.katex .textbf{font-weight:700}.katex .textit{font-style:italic}.katex .textrm{font-family:KaTeX_Main}.katex .textsf{font-family:KaTeX_SansSerif}.katex .texttt{font-family:KaTeX_Typewriter}.katex .mathnormal{font-family:KaTeX_Math;font-style:italic}.katex .mathit{font-family:KaTeX_Main;font-style:italic}.katex .mathrm{font-style:normal}.katex .mathbf{font-family:KaTeX_Main;font-weight:700}.katex .boldsymbol{font-family:KaTeX_Math;font-style:italic;font-weight:700}.katex .amsrm,.katex .mathbb,.katex .textbb{font-family:KaTeX_AMS}.katex .mathcal{font-family:KaTeX_Caligraphic}.katex .mathfrak,.katex .textfrak{font-family:KaTeX_Fraktur}.katex .mathboldfrak,.katex .textboldfrak{font-family:KaTeX_Fraktur;font-weight:700}.katex .mathtt{font-family:KaTeX_Typewriter}.katex .mathscr,.katex .textscr{font-family:KaTeX_Script}.katex .mathsf,.katex .textsf{font-family:KaTeX_SansSerif}.katex .mathboldsf,.katex .textboldsf{font-family:KaTeX_SansSerif;font-weight:700}.katex .mathitsf,.katex .mathsfit,.katex .textitsf{font-family:KaTeX_SansSerif;font-style:italic}.katex .mainrm{font-family:KaTeX_Main;font-style:normal}.katex .vlist-t{border-collapse:collapse;table-layout:fixed;display:inline-table}.katex .vlist-r{display:table-row}.katex .vlist{vertical-align:bottom;display:table-cell;position:relative}.katex .vlist>span{height:0;display:block;position:relative}.katex .vlist>span>span{display:inline-block}.katex .vlist>span>.pstrut{width:0;overflow:hidden}.katex .vlist-t2{margin-right:-2px}.katex .vlist-s{vertical-align:bottom;width:2px;min-width:2px;font-size:1px;display:table-cell}.katex .vbox{flex-direction:column;align-items:baseline;display:inline-flex}.katex .hbox{width:100%}.katex .hbox,.katex .thinbox{flex-direction:row;display:inline-flex}.katex .thinbox{width:0;max-width:0}.katex .msupsub{text-align:left}.katex .mfrac>span>span{text-align:center}.katex .mfrac .frac-line{border-bottom-style:solid;width:100%;display:inline-block}.katex .hdashline,.katex .hline,.katex .mfrac .frac-line,.katex .overline .overline-line,.katex .rule,.katex .underline .underline-line{min-height:1px}.katex .mspace{display:inline-block}.katex .smash{line-height:0;display:inline}.katex .clap,.katex .llap,.katex .rlap{width:0;position:relative}.katex .clap>.inner,.katex .llap>.inner,.katex .rlap>.inner{position:absolute}.katex .clap>.fix,.katex .llap>.fix,.katex .rlap>.fix{display:inline-block}.katex .llap>.inner{right:0}.katex .clap>.inner,.katex .rlap>.inner{left:0}.katex .clap>.inner>span{margin-left:-50%;margin-right:50%}.katex .rule{border:0 solid;display:inline-block;position:relative}.katex .hline,.katex .overline .overline-line,.katex .underline .underline-line{border-bottom-style:solid;width:100%;display:inline-block}.katex .hdashline{border-bottom-style:dashed;width:100%;display:inline-block}.katex .sqrt>.root{margin-left:.277778em;margin-right:-.555556em}.katex .fontsize-ensurer.reset-size1.size1,.katex .sizing.reset-size1.size1{font-size:1em}.katex .fontsize-ensurer.reset-size1.size2,.katex .sizing.reset-size1.size2{font-size:1.2em}.katex .fontsize-ensurer.reset-size1.size3,.katex .sizing.reset-size1.size3{font-size:1.4em}.katex .fontsize-ensurer.reset-size1.size4,.katex .sizing.reset-size1.size4{font-size:1.6em}.katex .fontsize-ensurer.reset-size1.size5,.katex .sizing.reset-size1.size5{font-size:1.8em}.katex .fontsize-ensurer.reset-size1.size6,.katex .sizing.reset-size1.size6{font-size:2em}.katex .fontsize-ensurer.reset-size1.size7,.katex .sizing.reset-size1.size7{font-size:2.4em}.katex .fontsize-ensurer.reset-size1.size8,.katex .sizing.reset-size1.size8{font-size:2.88em}.katex .fontsize-ensurer.reset-size1.size9,.katex .sizing.reset-size1.size9{font-size:3.456em}.katex .fontsize-ensurer.reset-size1.size10,.katex .sizing.reset-size1.size10{font-size:4.148em}.katex .fontsize-ensurer.reset-size1.size11,.katex .sizing.reset-size1.size11{font-size:4.976em}.katex .fontsize-ensurer.reset-size2.size1,.katex .sizing.reset-size2.size1{font-size:.833333em}.katex .fontsize-ensurer.reset-size2.size2,.katex .sizing.reset-size2.size2{font-size:1em}.katex .fontsize-ensurer.reset-size2.size3,.katex .sizing.reset-size2.size3{font-size:1.16667em}.katex .fontsize-ensurer.reset-size2.size4,.katex .sizing.reset-size2.size4{font-size:1.33333em}.katex .fontsize-ensurer.reset-size2.size5,.katex .sizing.reset-size2.size5{font-size:1.5em}.katex .fontsize-ensurer.reset-size2.size6,.katex .sizing.reset-size2.size6{font-size:1.66667em}.katex .fontsize-ensurer.reset-size2.size7,.katex .sizing.reset-size2.size7{font-size:2em}.katex .fontsize-ensurer.reset-size2.size8,.katex .sizing.reset-size2.size8{font-size:2.4em}.katex .fontsize-ensurer.reset-size2.size9,.katex .sizing.reset-size2.size9{font-size:2.88em}.katex .fontsize-ensurer.reset-size2.size10,.katex .sizing.reset-size2.size10{font-size:3.45667em}.katex .fontsize-ensurer.reset-size2.size11,.katex .sizing.reset-size2.size11{font-size:4.14667em}.katex .fontsize-ensurer.reset-size3.size1,.katex .sizing.reset-size3.size1{font-size:.714286em}.katex .fontsize-ensurer.reset-size3.size2,.katex .sizing.reset-size3.size2{font-size:.857143em}.katex .fontsize-ensurer.reset-size3.size3,.katex .sizing.reset-size3.size3{font-size:1em}.katex .fontsize-ensurer.reset-size3.size4,.katex .sizing.reset-size3.size4{font-size:1.14286em}.katex .fontsize-ensurer.reset-size3.size5,.katex .sizing.reset-size3.size5{font-size:1.28571em}.katex .fontsize-ensurer.reset-size3.size6,.katex .sizing.reset-size3.size6{font-size:1.42857em}.katex .fontsize-ensurer.reset-size3.size7,.katex .sizing.reset-size3.size7{font-size:1.71429em}.katex .fontsize-ensurer.reset-size3.size8,.katex .sizing.reset-size3.size8{font-size:2.05714em}.katex .fontsize-ensurer.reset-size3.size9,.katex .sizing.reset-size3.size9{font-size:2.46857em}.katex .fontsize-ensurer.reset-size3.size10,.katex .sizing.reset-size3.size10{font-size:2.96286em}.katex .fontsize-ensurer.reset-size3.size11,.katex .sizing.reset-size3.size11{font-size:3.55429em}.katex .fontsize-ensurer.reset-size4.size1,.katex .sizing.reset-size4.size1{font-size:.625em}.katex .fontsize-ensurer.reset-size4.size2,.katex .sizing.reset-size4.size2{font-size:.75em}.katex .fontsize-ensurer.reset-size4.size3,.katex .sizing.reset-size4.size3{font-size:.875em}.katex .fontsize-ensurer.reset-size4.size4,.katex .sizing.reset-size4.size4{font-size:1em}.katex .fontsize-ensurer.reset-size4.size5,.katex .sizing.reset-size4.size5{font-size:1.125em}.katex .fontsize-ensurer.reset-size4.size6,.katex .sizing.reset-size4.size6{font-size:1.25em}.katex .fontsize-ensurer.reset-size4.size7,.katex .sizing.reset-size4.size7{font-size:1.5em}.katex .fontsize-ensurer.reset-size4.size8,.katex .sizing.reset-size4.size8{font-size:1.8em}.katex .fontsize-ensurer.reset-size4.size9,.katex .sizing.reset-size4.size9{font-size:2.16em}.katex .fontsize-ensurer.reset-size4.size10,.katex .sizing.reset-size4.size10{font-size:2.5925em}.katex .fontsize-ensurer.reset-size4.size11,.katex .sizing.reset-size4.size11{font-size:3.11em}.katex .fontsize-ensurer.reset-size5.size1,.katex .sizing.reset-size5.size1{font-size:.555556em}.katex .fontsize-ensurer.reset-size5.size2,.katex .sizing.reset-size5.size2{font-size:.666667em}.katex .fontsize-ensurer.reset-size5.size3,.katex .sizing.reset-size5.size3{font-size:.777778em}.katex .fontsize-ensurer.reset-size5.size4,.katex .sizing.reset-size5.size4{font-size:.888889em}.katex .fontsize-ensurer.reset-size5.size5,.katex .sizing.reset-size5.size5{font-size:1em}.katex .fontsize-ensurer.reset-size5.size6,.katex .sizing.reset-size5.size6{font-size:1.11111em}.katex .fontsize-ensurer.reset-size5.size7,.katex .sizing.reset-size5.size7{font-size:1.33333em}.katex .fontsize-ensurer.reset-size5.size8,.katex .sizing.reset-size5.size8{font-size:1.6em}.katex .fontsize-ensurer.reset-size5.size9,.katex .sizing.reset-size5.size9{font-size:1.92em}.katex .fontsize-ensurer.reset-size5.size10,.katex .sizing.reset-size5.size10{font-size:2.30444em}.katex .fontsize-ensurer.reset-size5.size11,.katex .sizing.reset-size5.size11{font-size:2.76444em}.katex .fontsize-ensurer.reset-size6.size1,.katex .sizing.reset-size6.size1{font-size:.5em}.katex .fontsize-ensurer.reset-size6.size2,.katex .sizing.reset-size6.size2{font-size:.6em}.katex .fontsize-ensurer.reset-size6.size3,.katex .sizing.reset-size6.size3{font-size:.7em}.katex .fontsize-ensurer.reset-size6.size4,.katex .sizing.reset-size6.size4{font-size:.8em}.katex .fontsize-ensurer.reset-size6.size5,.katex .sizing.reset-size6.size5{font-size:.9em}.katex .fontsize-ensurer.reset-size6.size6,.katex .sizing.reset-size6.size6{font-size:1em}.katex .fontsize-ensurer.reset-size6.size7,.katex .sizing.reset-size6.size7{font-size:1.2em}.katex .fontsize-ensurer.reset-size6.size8,.katex .sizing.reset-size6.size8{font-size:1.44em}.katex .fontsize-ensurer.reset-size6.size9,.katex .sizing.reset-size6.size9{font-size:1.728em}.katex .fontsize-ensurer.reset-size6.size10,.katex .sizing.reset-size6.size10{font-size:2.074em}.katex .fontsize-ensurer.reset-size6.size11,.katex .sizing.reset-size6.size11{font-size:2.488em}.katex .fontsize-ensurer.reset-size7.size1,.katex .sizing.reset-size7.size1{font-size:.416667em}.katex .fontsize-ensurer.reset-size7.size2,.katex .sizing.reset-size7.size2{font-size:.5em}.katex .fontsize-ensurer.reset-size7.size3,.katex .sizing.reset-size7.size3{font-size:.583333em}.katex .fontsize-ensurer.reset-size7.size4,.katex .sizing.reset-size7.size4{font-size:.666667em}.katex .fontsize-ensurer.reset-size7.size5,.katex .sizing.reset-size7.size5{font-size:.75em}.katex .fontsize-ensurer.reset-size7.size6,.katex .sizing.reset-size7.size6{font-size:.833333em}.katex .fontsize-ensurer.reset-size7.size7,.katex .sizing.reset-size7.size7{font-size:1em}.katex .fontsize-ensurer.reset-size7.size8,.katex .sizing.reset-size7.size8{font-size:1.2em}.katex .fontsize-ensurer.reset-size7.size9,.katex .sizing.reset-size7.size9{font-size:1.44em}.katex .fontsize-ensurer.reset-size7.size10,.katex .sizing.reset-size7.size10{font-size:1.72833em}.katex .fontsize-ensurer.reset-size7.size11,.katex .sizing.reset-size7.size11{font-size:2.07333em}.katex .fontsize-ensurer.reset-size8.size1,.katex .sizing.reset-size8.size1{font-size:.347222em}.katex .fontsize-ensurer.reset-size8.size2,.katex .sizing.reset-size8.size2{font-size:.416667em}.katex .fontsize-ensurer.reset-size8.size3,.katex .sizing.reset-size8.size3{font-size:.486111em}.katex .fontsize-ensurer.reset-size8.size4,.katex .sizing.reset-size8.size4{font-size:.555556em}.katex .fontsize-ensurer.reset-size8.size5,.katex .sizing.reset-size8.size5{font-size:.625em}.katex .fontsize-ensurer.reset-size8.size6,.katex .sizing.reset-size8.size6{font-size:.694444em}.katex .fontsize-ensurer.reset-size8.size7,.katex .sizing.reset-size8.size7{font-size:.833333em}.katex .fontsize-ensurer.reset-size8.size8,.katex .sizing.reset-size8.size8{font-size:1em}.katex .fontsize-ensurer.reset-size8.size9,.katex .sizing.reset-size8.size9{font-size:1.2em}.katex .fontsize-ensurer.reset-size8.size10,.katex .sizing.reset-size8.size10{font-size:1.44028em}.katex .fontsize-ensurer.reset-size8.size11,.katex .sizing.reset-size8.size11{font-size:1.72778em}.katex .fontsize-ensurer.reset-size9.size1,.katex .sizing.reset-size9.size1{font-size:.289352em}.katex .fontsize-ensurer.reset-size9.size2,.katex .sizing.reset-size9.size2{font-size:.347222em}.katex .fontsize-ensurer.reset-size9.size3,.katex .sizing.reset-size9.size3{font-size:.405093em}.katex .fontsize-ensurer.reset-size9.size4,.katex .sizing.reset-size9.size4{font-size:.462963em}.katex .fontsize-ensurer.reset-size9.size5,.katex .sizing.reset-size9.size5{font-size:.520833em}.katex .fontsize-ensurer.reset-size9.size6,.katex .sizing.reset-size9.size6{font-size:.578704em}.katex .fontsize-ensurer.reset-size9.size7,.katex .sizing.reset-size9.size7{font-size:.694444em}.katex .fontsize-ensurer.reset-size9.size8,.katex .sizing.reset-size9.size8{font-size:.833333em}.katex .fontsize-ensurer.reset-size9.size9,.katex .sizing.reset-size9.size9{font-size:1em}.katex .fontsize-ensurer.reset-size9.size10,.katex .sizing.reset-size9.size10{font-size:1.20023em}.katex .fontsize-ensurer.reset-size9.size11,.katex .sizing.reset-size9.size11{font-size:1.43981em}.katex .fontsize-ensurer.reset-size10.size1,.katex .sizing.reset-size10.size1{font-size:.24108em}.katex .fontsize-ensurer.reset-size10.size2,.katex .sizing.reset-size10.size2{font-size:.289296em}.katex .fontsize-ensurer.reset-size10.size3,.katex .sizing.reset-size10.size3{font-size:.337512em}.katex .fontsize-ensurer.reset-size10.size4,.katex .sizing.reset-size10.size4{font-size:.385728em}.katex .fontsize-ensurer.reset-size10.size5,.katex .sizing.reset-size10.size5{font-size:.433944em}.katex .fontsize-ensurer.reset-size10.size6,.katex .sizing.reset-size10.size6{font-size:.48216em}.katex .fontsize-ensurer.reset-size10.size7,.katex .sizing.reset-size10.size7{font-size:.578592em}.katex .fontsize-ensurer.reset-size10.size8,.katex .sizing.reset-size10.size8{font-size:.694311em}.katex .fontsize-ensurer.reset-size10.size9,.katex .sizing.reset-size10.size9{font-size:.833173em}.katex .fontsize-ensurer.reset-size10.size10,.katex .sizing.reset-size10.size10{font-size:1em}.katex .fontsize-ensurer.reset-size10.size11,.katex .sizing.reset-size10.size11{font-size:1.19961em}.katex .fontsize-ensurer.reset-size11.size1,.katex .sizing.reset-size11.size1{font-size:.200965em}.katex .fontsize-ensurer.reset-size11.size2,.katex .sizing.reset-size11.size2{font-size:.241158em}.katex .fontsize-ensurer.reset-size11.size3,.katex .sizing.reset-size11.size3{font-size:.281351em}.katex .fontsize-ensurer.reset-size11.size4,.katex .sizing.reset-size11.size4{font-size:.321543em}.katex .fontsize-ensurer.reset-size11.size5,.katex .sizing.reset-size11.size5{font-size:.361736em}.katex .fontsize-ensurer.reset-size11.size6,.katex .sizing.reset-size11.size6{font-size:.401929em}.katex .fontsize-ensurer.reset-size11.size7,.katex .sizing.reset-size11.size7{font-size:.482315em}.katex .fontsize-ensurer.reset-size11.size8,.katex .sizing.reset-size11.size8{font-size:.578778em}.katex .fontsize-ensurer.reset-size11.size9,.katex .sizing.reset-size11.size9{font-size:.694534em}.katex .fontsize-ensurer.reset-size11.size10,.katex .sizing.reset-size11.size10{font-size:.833601em}.katex .fontsize-ensurer.reset-size11.size11,.katex .sizing.reset-size11.size11{font-size:1em}.katex .delimsizing.size1{font-family:KaTeX_Size1}.katex .delimsizing.size2{font-family:KaTeX_Size2}.katex .delimsizing.size3{font-family:KaTeX_Size3}.katex .delimsizing.size4{font-family:KaTeX_Size4}.katex .delimsizing.mult .delim-size1>span{font-family:KaTeX_Size1}.katex .delimsizing.mult .delim-size4>span{font-family:KaTeX_Size4}.katex .nulldelimiter{width:.12em;display:inline-block}.katex .delimcenter,.katex .op-symbol{position:relative}.katex .op-symbol.small-op{font-family:KaTeX_Size1}.katex .op-symbol.large-op{font-family:KaTeX_Size2}.katex .accent>.vlist-t,.katex .op-limits>.vlist-t{text-align:center}.katex .accent .accent-body{position:relative}.katex .accent .accent-body:not(.accent-full){width:0}.katex .overlay{display:block}.katex .mtable .vertical-separator{min-width:1px;display:inline-block}.katex .mtable .arraycolsep{display:inline-block}.katex .mtable .col-align-c>.vlist-t{text-align:center}.katex .mtable .col-align-l>.vlist-t{text-align:left}.katex .mtable .col-align-r>.vlist-t{text-align:right}.katex .svg-align{text-align:left}.katex svg{fill:currentColor;stroke:currentColor;height:inherit;width:100%;display:block;position:absolute}.katex svg path{stroke:none}.katex svg{fill-rule:nonzero;fill-opacity:1;stroke-width:1px;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:4;stroke-dasharray:none;stroke-dashoffset:0;stroke-opacity:1}.katex img{border-style:none;min-width:0;max-width:none;min-height:0;max-height:none}.katex .stretchy{width:100%;display:block;position:relative;overflow:hidden}.katex .stretchy:after,.katex .stretchy:before{content:""}.katex .hide-tail{width:100%;position:relative;overflow:hidden}.katex .halfarrow-left{width:50.2%;position:absolute;left:0;overflow:hidden}.katex .halfarrow-right{width:50.2%;position:absolute;right:0;overflow:hidden}.katex .brace-left{width:25.1%;position:absolute;left:0;overflow:hidden}.katex .brace-center{width:50%;position:absolute;left:25%;overflow:hidden}.katex .brace-right{width:25.1%;position:absolute;right:0;overflow:hidden}.katex .x-arrow-pad{padding:0 .5em}.katex .cd-arrow-pad{padding:0 .55556em 0 .27778em}.katex .mover,.katex .munder,.katex .x-arrow{text-align:center}.katex .boxpad{padding:0 .3em}.katex .fbox,.katex .fcolorbox{box-sizing:border-box;border:.04em solid}.katex .cancel-pad{padding:0 .2em}.katex .cancel-lap{margin-left:-.2em;margin-right:-.2em}.katex .sout{border-bottom-style:solid;border-bottom-width:.08em}.katex .angl{box-sizing:border-box;border-top:.049em solid;border-right:.049em solid;margin-right:.03889em}.katex .anglpad{padding:0 .03889em}.katex .eqn-num:before{content:"(" counter(katexEqnNo) ")";counter-increment:katexEqnNo}.katex .mml-eqn-num:before{content:"(" counter(mmlEqnNo) ")";counter-increment:mmlEqnNo}.katex .mtr-glue{width:50%}.katex .cd-vert-arrow{display:inline-block;position:relative}.katex .cd-label-left{text-align:left;display:inline-block;position:absolute;right:calc(50% + .3em)}.katex .cd-label-right{text-align:right;display:inline-block;position:absolute;left:calc(50% + .3em)}.katex-display{text-align:center;margin:1em 0;display:block}.katex-display>.katex{text-align:center;white-space:nowrap;display:block}.katex-display>.katex>.katex-html{display:block;position:relative}.katex-display>.katex>.katex-html>.tag{position:absolute;right:0}.katex-display.leqno>.katex>.katex-html>.tag{left:0;right:auto}.katex-display.fleqn>.katex{text-align:left;padding-left:2em}body{counter-reset:katexEqnNo mmlEqnNo}
