:root{--bg:#0f1012;--panel:#1a1b1f;--panel-2:#222328;--tile:#26272c;--border:#2e3036;--text:#f1f2f4;--muted:#9b9ca5;--accent:#2d8cff;--accent-strong:#0e6fe8;--green:#22c55e;--amber:#f5b83d;--red:#e5484d;--radius:14px;--shadow:0 12px 40px #00000073;--lightningcss-light: ;--lightningcss-dark:initial;color-scheme:dark;color:var(--text);background:var(--bg);font-family:Segoe UI,system-ui,-apple-system,Roboto,Helvetica Neue,Arial,sans-serif;font-size:15px}*{box-sizing:border-box}html,body{background:var(--bg);height:100%;margin:0}#app{height:100%}button,input,select{font:inherit;color:inherit}button{cursor:pointer}.hidden{display:none!important}.muted{color:var(--muted)}.icon{flex:none;width:20px;height:20px}.boot{height:100%;color:var(--muted);place-items:center;display:grid}.btn{background:var(--panel-2);border:1px solid #0000;border-radius:10px;justify-content:center;align-items:center;gap:8px;padding:9px 16px;font-weight:600;transition:background .15s,transform 50ms;display:inline-flex}.btn:active{transform:translateY(1px)}.btn.primary{background:var(--accent);color:#fff}.btn.primary:hover{background:var(--accent-strong)}.btn.primary:disabled{color:#7f8da0;cursor:not-allowed;background:#2b3a4f}.btn.danger{background:var(--red);color:#fff}.btn.danger:hover{background:#cf3a3f}.btn.ghost{border-color:var(--border);background:0 0}.btn.ghost:hover{background:var(--panel-2)}.btn.small{padding:6px 10px;font-size:13px}.btn.big{padding:12px 22px;font-size:16px}a.btn{color:var(--text);text-decoration:none}.btn.ok{color:#9ff0bb;border-color:#22c55e80}.btn.error{color:#ffb3b5;border-color:#e5484d99}.icon-btn{width:36px;height:36px;color:var(--text);background:0 0;border:none;border-radius:10px;place-items:center;display:inline-grid}.icon-btn:hover{background:var(--panel-2)}.icon-btn.small{width:30px;height:30px}.icon-btn:disabled{opacity:.35;cursor:default}.input{border:1px solid var(--border);background:#121317;border-radius:10px;outline:none;width:100%;padding:10px 12px;transition:border-color .15s}.input:focus{border-color:var(--accent)}select.input{padding:8px 10px}.card{background:var(--panel);border:1px solid var(--border);border-radius:var(--radius)}.pill{background:var(--panel-2);color:var(--muted);white-space:nowrap;border-radius:999px;align-items:center;gap:6px;padding:3px 10px;font-size:12.5px;display:inline-flex}.pill .icon{width:14px;height:14px;color:var(--amber)}.segmented{border:1px solid var(--border);background:#121317;border-radius:12px;flex-wrap:wrap;gap:4px;padding:4px;display:inline-flex}.segmented button{color:var(--muted);background:0 0;border:none;border-radius:8px;padding:7px 12px;font-size:13.5px;font-weight:600}.segmented button.active{background:var(--accent);color:#fff}.segmented button:not(.active):hover{background:var(--panel-2);color:var(--text)}.chips{flex-wrap:wrap;gap:8px;display:flex}.chip{border:1px solid var(--border);background:#16171b;border-radius:999px;align-items:center;gap:6px;padding:7px 12px;font-size:13.5px;font-weight:600;display:inline-flex}.chip:hover{border-color:#474a53}.chip.active{border-color:var(--accent);color:#cfe3ff;background:#2d8cff24}.chip-icon{font-size:16px}.switch{appearance:none;cursor:pointer;background:#3a3c44;border-radius:999px;flex:none;width:38px;height:22px;transition:background .15s;position:relative}.switch:after{content:"";background:#fff;border-radius:50%;width:16px;height:16px;transition:transform .15s;position:absolute;top:3px;left:3px}.switch:checked{background:var(--accent)}.switch:checked:after{transform:translate(16px)}.switch-label{cursor:pointer;align-items:center;gap:10px;display:flex}.spinner{border:3px solid #ffffff2e;border-top-color:var(--accent);border-radius:50%;width:26px;height:26px;animation:.9s linear infinite spin}@keyframes spin{to{transform:rotate(360deg)}}.tile{border-radius:var(--radius);background:#2b2c31;position:relative;overflow:hidden}.tile-bg{filter:blur(7px)saturate(.85)brightness(.8);background-position:50%;background-size:cover;position:absolute;inset:-20px}.avatar-stage{position:absolute;inset:0}.avatar-stage canvas{display:block}.tile-label{z-index:3;white-space:nowrap;background:#0009;border-radius:8px;align-items:center;gap:6px;max-width:calc(100% - 24px);padding:4px 10px;font-size:13px;display:inline-flex;position:absolute;bottom:12px;left:12px}.tile-label .role{color:#b9bac2;font-size:12px}.tile-label .icon,.tile-mic .icon{width:14px;height:14px}.avatar-loading,.avatar-error{color:#e5e6ea;z-index:2;text-shadow:0 1px 2px #0009;flex-direction:column;justify-content:center;align-items:center;gap:10px;font-size:14px;display:flex;position:absolute;inset:0}.avatar-error{text-align:center;background:#00000059;padding:24px}.lobby{flex-direction:column;min-height:100%;display:flex}.lobby-header{border-bottom:1px solid var(--border);background:#121316;justify-content:space-between;align-items:center;padding:14px 28px;display:flex}.brand{letter-spacing:.2px;color:inherit;align-items:center;gap:10px;font-size:17px;font-weight:700;text-decoration:none;display:inline-flex}.brand-mark{color:#fff;background:linear-gradient(135deg,#2d8cff,#7c5cff);border-radius:9px;place-items:center;width:32px;height:32px;display:inline-grid}.brand-mark .icon{width:18px;height:18px}.brand.small .brand-mark{width:28px;height:28px}.lobby-body{flex:1;grid-template-columns:minmax(380px,46fr) minmax(420px,54fr);gap:24px;width:100%;max-width:1500px;margin:0 auto;padding:24px 28px 32px;display:grid}.lobby-left{flex-direction:column;gap:14px;min-width:0;display:flex}.preview-tile{aspect-ratio:16/10;width:100%;box-shadow:var(--shadow)}.section-title{color:var(--muted);margin:6px 0 0;font-size:14px;font-weight:600}.tutor-cards{grid-template-columns:repeat(auto-fill,minmax(150px,1fr));gap:8px;display:grid}.tutor-card{text-align:left;border:1px solid var(--border);background:var(--panel);border-radius:12px;align-items:center;gap:10px;padding:10px;display:flex}.tutor-card:hover{border-color:#474a53}.tutor-card.active{border-color:var(--accent);background:#2d8cff1f}.tutor-initial{background:linear-gradient(135deg,#f472b6,#a855f7);border-radius:50%;flex:none;place-items:center;width:36px;height:36px;font-weight:700;display:grid}.tutor-initial.g-M{background:linear-gradient(135deg,#38bdf8,#2563eb)}.tutor-meta{flex-direction:column;min-width:0;display:flex}.tutor-meta small{color:var(--muted);font-size:11.5px;line-height:1.3}.credit{color:#6f717a;margin:-4px 0 0;font-size:11.5px}.checks{padding:14px 16px}.checks h3{margin:0 0 8px;font-size:14px}.status-list{flex-direction:column;gap:6px;margin:0 0 10px;padding:0;list-style:none;display:flex}.status{grid-template-columns:12px 150px 1fr;align-items:center;gap:8px;font-size:13.5px;display:grid}.status .dot{background:var(--muted);border-radius:50%;width:9px;height:9px}.status-ok .dot{background:var(--green)}.status-checking .dot{background:var(--amber);animation:1.2s ease-in-out infinite pulse}.status-warn .dot{background:var(--amber)}.status-error .dot{background:var(--red)}.status-text{color:var(--muted);text-overflow:ellipsis;white-space:nowrap;overflow:hidden}.status-error .status-text{color:#ffb3b5;white-space:normal}.status-warn .status-text{white-space:normal}@keyframes pulse{50%{opacity:.35}}.device-row{flex-wrap:wrap;align-items:center;gap:10px;margin-top:8px;display:flex}.device-label{min-width:90px;font-size:13.5px}.meter{background:#121317;border-radius:99px;flex:1;min-width:80px;height:8px;overflow:hidden}.meter-fill{background:linear-gradient(90deg,#22c55e,#a3e635);width:0;height:100%;transition:width 60ms linear}.cam-preview{aspect-ratio:16/9;object-fit:cover;background:#000;border-radius:8px;width:160px;display:none;transform:scaleX(-1)}.cam-preview.on{display:block}.lobby-right{flex-direction:column;gap:16px;min-width:0;padding:22px 24px;display:flex}.lobby-right h1{margin:0;font-size:24px;line-height:1.25}.field{flex-direction:column;gap:8px;display:flex}.field-label{color:var(--muted);font-size:13px;font-weight:600}.grade-row{border:1px solid var(--border);background:#121317;border-radius:12px;padding:4px}.grade-row>.segmented{scrollbar-width:none;background:0 0;border:none;border-radius:8px;gap:2px;padding:0}.grade-row>.segmented::-webkit-scrollbar{display:none}.grade-row>.segmented>button{flex:1 0 auto;padding:7px}.grade-row>.scroll-arrow{width:26px;height:26px;bottom:0}.scroll-row{min-width:0;position:relative}.scroll-track{--fade-l:0px;--fade-r:0px;overscroll-behavior-x:contain;-webkit-mask-image:linear-gradient(to right, transparent, #000 var(--fade-l), #000 calc(100% - var(--fade-r)), transparent);-webkit-mask-image:linear-gradient(to right, transparent, #000 var(--fade-l), #000 calc(100% - var(--fade-r)), transparent);mask-image:linear-gradient(to right, transparent, #000 var(--fade-l), #000 calc(100% - var(--fade-r)), transparent);flex-wrap:nowrap;gap:8px;padding-bottom:6px;scroll-padding-inline:40px;display:flex;overflow-x:auto}.scroll-track>*{flex:none}.scroll-track::-webkit-scrollbar{height:8px}.can-prev>.scroll-track{--fade-l:40px}.can-next>.scroll-track{--fade-r:40px}.scroll-arrow{z-index:1;border:1px solid var(--border);background:var(--panel-2);width:30px;height:30px;color:var(--text);opacity:0;visibility:hidden;border-radius:50%;place-items:center;margin:auto 0;padding:0;transition:opacity .15s,visibility .15s,background .15s;display:grid;position:absolute;top:0;bottom:14px;box-shadow:0 2px 10px #00000080}.scroll-arrow.prev{left:0}.scroll-arrow.next{right:0}.scroll-arrow:hover{background:#2c2e35;border-color:#474a53}.scroll-arrow .icon{width:16px;height:16px}.can-prev>.scroll-arrow.prev,.can-next>.scroll-arrow.next{opacity:1;visibility:visible}@media (hover:none) and (pointer:coarse){.scroll-arrow{display:none}}.topic-row>.topic-card{width:230px}.topic-card{text-align:left;border:1px solid var(--border);background:#16171b;border-radius:12px;flex-direction:column;gap:4px;padding:11px 12px;display:flex}.topic-card:hover{border-color:#474a53}.topic-card.active{border-color:var(--accent);background:#2d8cff1f}.topic-card span{color:var(--muted);font-size:12.5px;line-height:1.35}.topic-card small{color:#6f717a;font-size:11px}.join-row{flex-wrap:wrap;align-items:center;gap:16px;margin-top:4px;display:flex}.join{padding:13px 26px;font-size:16px}.hint{color:var(--muted);margin:0;font-size:12.5px}@media (max-width:1100px){.lobby-body{grid-template-columns:1fr}}.site-footer{text-align:center;color:#6f717a;padding:0 16px 18px;font-size:12px}.site-footer a{color:inherit;text-underline-offset:2px;text-decoration:underline}.site-footer a:hover{color:var(--muted)}.lobby-header-right{flex-wrap:wrap;justify-content:flex-end;align-items:center;gap:14px;display:flex}.account{flex-wrap:wrap;justify-content:flex-end;align-items:center;gap:10px;display:flex}.account-name{background:0 0;border:1px solid #0000;border-radius:10px;align-items:center;gap:6px;padding:5px 8px;font-weight:600;display:inline-flex}.account-name:hover{background:var(--panel-2);border-color:var(--border)}.account-name .icon{width:18px;height:18px;color:var(--muted)}.account-gear .icon{width:15px;height:15px}.pill.minutes .icon{color:var(--accent)}.pill.minutes.empty{color:#ffb3b5}.pill.minutes.empty .icon{color:var(--red)}.hint.warn{color:var(--amber)}.auth{flex-direction:column;min-height:100%;display:flex}.auth-body{flex:1;place-items:center;padding:32px 16px;display:grid}.auth-card{flex-direction:column;gap:14px;width:min(440px,100%);padding:28px;display:flex}.auth-card h1{margin:0;font-size:22px;line-height:1.3}.auth-card>p{margin:0}.auth-tabs{align-self:flex-start}.auth-form{flex-direction:column;gap:14px;display:flex}.field-hint{color:var(--muted);font-size:12px}.show-password{color:var(--muted);font-size:13px}.auth-error{color:#ff9a9e;margin:0;font-size:13.5px}.auth-error:empty{display:none}.auth-db{color:var(--amber);background:#f5b83d1f;border-radius:10px;margin:0;padding:8px 12px;font-size:13.5px}.auth-submit{padding:11px 18px;font-size:15px}.auth-switch{color:var(--muted);font-size:13.5px}.link{color:var(--accent);background:0 0;border:none;padding:0;font-weight:600}.link:hover{text-decoration:underline}.link:disabled{color:var(--muted);cursor:default;font-weight:500;text-decoration:none}.code-input{letter-spacing:6px;text-align:center;font-variant-numeric:tabular-nums;font-size:22px}.auth-row{flex-wrap:wrap;justify-content:space-between;align-items:center;gap:12px;display:flex}.forgot-link{font-size:13.5px}.code-step .code-prompt{overflow-wrap:anywhere;margin:0}.dev-hint{color:#a9ccff;background:#2d8cff1f;border-radius:10px;margin:0;padding:8px 12px;font-size:13px}.code-status{color:#9ff0bb;margin:0;font-size:13.5px}.code-status:empty{display:none}.resend-row{color:var(--muted);margin:0;font-size:13.5px}.sending{color:var(--muted);align-items:center;gap:10px;padding:6px 0;display:flex}.spinner.small{border-width:2px;width:18px;height:18px}.modal.account-settings{width:min(600px,94vw)}.account-body{flex-direction:column;display:flex}.acct-section{border-bottom:1px solid var(--border);padding:14px 0}.acct-section:last-child{border-bottom:none}.acct-row{flex-wrap:wrap;justify-content:space-between;align-items:center;gap:14px;display:flex}.acct-info{min-width:0}.acct-info h3{margin:0 0 4px;font-size:14.5px}.acct-info p{color:var(--muted);flex-wrap:wrap;align-items:center;gap:8px;margin:0;font-size:13.5px;display:flex}.acct-value{color:var(--text);overflow-wrap:anywhere}.acct-actions{flex-wrap:wrap;gap:8px;display:flex}.acct-actions .btn.active{background:var(--panel-2)}.acct-panel{border:1px solid var(--border);background:#16171b;border-radius:12px;flex-direction:column;gap:12px;margin-top:12px;padding:14px;display:flex}.acct-panel .auth-form{gap:12px}.acct-panel .auth-form>p.muted{margin:0}.acct-panel .auth-submit{align-self:flex-start;padding:9px 16px;font-size:14px}.acct-panel>.btn.ghost{align-self:flex-start}.panel-buttons{flex-wrap:wrap;gap:8px;display:flex}.state-badge{border-radius:999px;padding:2px 8px;font-size:11.5px;font-weight:700}.state-badge.ok{color:#86efac;background:#22c55e26}.state-badge.warn{color:var(--amber);background:#f5b83d26}.state-badge.off{background:var(--panel-2);color:var(--muted)}.acct-section.danger h3{color:#ffb3b5}.danger-text{color:#ffb3b5!important}.btn.danger-ghost{color:#ffb3b5;background:0 0;border-color:#e5484d99}.btn.danger-ghost:hover,.btn.danger-ghost.active{background:#e5484d1f}.call{background:#0d0e10;grid-template-rows:52px 1fr 78px;height:100%;display:grid}.call-top{border-bottom:1px solid #1d1e22;justify-content:space-between;align-items:center;gap:16px;padding:0 16px;display:flex}.call-title{align-items:center;gap:10px;min-width:0;display:flex}.call-title strong{text-overflow:ellipsis;white-space:nowrap;overflow:hidden}.subject-icon{font-size:18px}.call-top-right{color:var(--muted);font-variant-numeric:tabular-nums;align-items:center;gap:10px;display:flex}.rec-dot{background:var(--green);border-radius:50%;width:8px;height:8px;box-shadow:0 0 0 3px #22c55e33}.timer{white-space:nowrap}.timer.warn,.timer.danger{border-radius:999px;padding:2px 10px;font-weight:600}.timer.warn{color:#1a1206;background:var(--amber)}.timer.danger{color:#fff;background:var(--red);animation:1.6s ease-in-out infinite timer-pulse}@keyframes timer-pulse{50%{opacity:.7}}.lesson-length{margin-top:10px}.call-main{min-height:0;display:flex}.stage{flex:1;min-width:0;padding:14px;display:flex;position:relative}.tiles{flex:1;gap:12px;min-width:0;min-height:0;display:flex}.tutor-tile{outline-offset:-3px;cursor:default;outline:3px solid #0000;flex:auto;min-width:0;transition:outline-color .2s}.tutor-tile.speaking{outline-color:var(--green);cursor:pointer}.thinking{z-index:3;background:#0000008c;border-radius:999px;gap:6px;padding:10px 14px;display:flex;position:absolute;bottom:56px;left:50%;transform:translate(-50%)}.thinking span{background:#fff;border-radius:50%;width:8px;height:8px;animation:1.2s ease-in-out infinite bounce}.thinking span:nth-child(2){animation-delay:.15s}.thinking span:nth-child(3){animation-delay:.3s}@keyframes bounce{0%,80%,to{opacity:.5;transform:translateY(0)}40%{opacity:1;transform:translateY(-6px)}}.board-panel{border-radius:var(--radius);color:#1f2328;min-width:0;box-shadow:var(--shadow);background:#fbfbf8;flex-direction:column;flex:0 0 46%;display:none;overflow:hidden}.stage.with-board .board-panel{display:flex}.board-header{color:#eafff1;background:#1f7a45;justify-content:space-between;align-items:center;gap:8px;padding:6px 10px 6px 14px;font-size:13px;font-weight:600;display:flex}.board-title{align-items:center;gap:8px;display:inline-flex}.board-title .icon{width:16px;height:16px}.board-nav{align-items:center;gap:2px;display:flex}.board-nav .icon-btn{color:#eafff1}.board-nav .icon-btn:hover{background:#ffffff1f}.board-counter{text-align:center;min-width:44px;font-size:12px}.board-paper{background-color:#fbfbf8;background-image:linear-gradient(#2d8cff12 1px,#0000 1px),linear-gradient(90deg,#2d8cff12 1px,#0000 1px);background-size:24px 24px;flex:1;position:relative;overflow:auto}.board-body{padding:22px 26px 40px;font-size:17px;line-height:1.55}.board-body.board-in{animation:.45s ease-out board-in}@keyframes board-in{0%{opacity:0;transform:translateY(8px)}}.board-empty{color:#7a7f87;font-style:italic}.board-body h2,.notes h2{color:#1d4ed8;margin:0 0 12px;font-family:Segoe Print,Bradley Hand,Comic Sans MS,cursive;font-size:26px}.board-body h3,.board-body h4{color:#0f766e;margin:14px 0 6px}.board-body ul,.board-body ol{margin:6px 0 10px;padding-left:26px}.board-body li{margin:4px 0}.board-body p{margin:6px 0}.math-block{margin:12px 0;font-size:1.2em;overflow:auto hidden}.board-body code,.notes code{background:#0f172a14;border-radius:5px;padding:1px 5px;font-family:Cascadia Code,Consolas,monospace;font-size:.92em}.board-body pre,.notes pre{color:#e2e8f0;background:#0f172a;border-radius:10px;padding:12px 14px;font-size:14.5px;line-height:1.45;overflow:auto}.board-body pre code,.notes pre code{color:inherit;background:0 0;padding:0}.board-body table,.notes table{border-collapse:collapse;margin:10px 0;font-size:15px}.board-body th,.board-body td,.notes th,.notes td{border:1px solid #cbd5e1;padding:5px 10px}.board-body th,.notes th{background:#e8eef7}.board-writing{float:right;color:#f9fafb;background:#1f2937;border-radius:999px;align-items:center;gap:8px;margin:0 12px 10px 0;padding:6px 12px;font-size:12.5px;display:inline-flex;position:sticky;bottom:10px}.pen-dot{background:var(--amber);border-radius:50%;width:8px;height:8px;animation:.8s infinite pulse}.board-body .wb-block{background-image:linear-gradient(#fde0478c,#fde0478c);background-repeat:no-repeat;background-size:0% 100%;width:-moz-fit-content;width:fit-content;max-width:100%;transition:background-size .55s ease-out,box-shadow .55s ease-out,color .3s}.board-body .math-block.wb-block,.board-body figure.wb-block{margin-left:auto;margin-right:auto}.board-body .math-block.wb-block{padding:0 10px}.board-body hr.wb-block{width:100%}.board-body .wb-write{animation:wb-write var(--wb-dur,.7s) cubic-bezier(.45, .05, .4, 1) var(--wb-delay,0s) both}@keyframes wb-write{0%{clip-path:inset(-.5em 100% -.5em -2.5em)}to{clip-path:inset(-.5em -.5em -.5em -2.5em)}}.board-body .wb-hl{background-size:100% 100%;border-radius:4px;box-shadow:0 0 0 4px #fde0478c}.board-body .wb-strike{color:#6b7280;position:relative}.board-body .wb-strike:after{content:"";transform-origin:0;pointer-events:none;background:#dc2626d9;border-radius:2px;height:3px;margin-top:-1.5px;animation:.45s ease-out both wb-strike;position:absolute;top:50%;left:-6px;right:-6px;transform:rotate(-2.5deg)}.board-body .math-block.wb-strike:after,.board-body pre.wb-strike:after{left:4px;right:4px}@keyframes wb-strike{0%{transform:rotate(-2.5deg)scaleX(0)}}.board-body .wb-erasing{pointer-events:none;animation:.45s ease-in forwards wb-erase}@keyframes wb-erase{to{opacity:0;filter:blur(3px);transform:translate(10px)}}.board-body li.d1,.notes li.d1{margin-left:1.4em}.board-body li.d2,.notes li.d2{margin-left:2.8em}.board-body li.d3,.notes li.d3{margin-left:4.2em}.board-body hr{border:none;border-top:2px dashed #cbd5e1;margin:14px 0}figure.tikz{margin:12px 0}figure.tikz svg{max-width:100%;height:auto;display:block}.tikz-wait{color:#6b7280;align-items:center;gap:8px;padding:14px 6px;font-size:15px;font-style:italic;display:inline-flex}.tikz-error{color:#b45309;padding:8px 6px;font-size:14px;font-style:italic}@media (prefers-reduced-motion:reduce){.board-body .wb-write,.board-body .wb-erasing,.board-body .wb-strike:after{animation:none}.board-body .wb-block{transition:none}}.self-tile{aspect-ratio:16/9;width:232px;box-shadow:var(--shadow);z-index:6;cursor:grab;touch-action:none;-webkit-user-select:none;user-select:none;background:#2a2b31;border:2px solid #3a3c43;border-radius:12px;transition:border-color .15s;position:absolute;bottom:28px;right:28px;overflow:hidden}.self-tile.dragging{cursor:grabbing}.self-tile.talking,.self-tile.speaking-ring{border-color:var(--green)}.self-video{object-fit:cover;width:100%;height:100%;display:none;transform:scaleX(-1)}.self-tile.cam-on .self-video{display:block}.self-avatar{background:linear-gradient(135deg,#0ea5e9,#6366f1);border-radius:50%;place-items:center;width:64px;height:64px;margin:auto;font-size:28px;font-weight:700;display:grid;position:absolute;inset:0}.self-tile.cam-on .self-avatar{display:none}.self-tile .tile-label{font-size:12px;bottom:8px;left:8px}.self-tile.muted .tile-mic{color:var(--red)}.reaction-float{pointer-events:none;font-size:46px;animation:2.2s ease-out forwards float-up;position:absolute;bottom:20px;left:50%;transform:translate(-50%)}@keyframes float-up{to{opacity:0;transform:translate(-50%,-120px)scale(1.15)}}.captions{z-index:5;pointer-events:none;flex-direction:column;align-items:center;gap:6px;width:min(880px,70%);display:flex;position:absolute;bottom:26px;left:50%;transform:translate(-50%)}.stage.with-board .captions{width:min(620px,48%);left:27%}.captions.off .caption-tutor{display:none}.caption{text-align:center;background:#000000bd;border-radius:8px;max-width:100%;padding:7px 14px;font-size:19px;line-height:1.35}.caption .who{color:#93c5fd;font-weight:600}.caption .rest{color:#ffffff8c}.caption-user{color:#d1fae5;font-size:16px}.status-chip{z-index:5;pointer-events:none;background:#0009;border-radius:999px;align-items:center;gap:8px;padding:6px 14px;font-size:13px;display:inline-flex;position:absolute;top:24px;left:50%;transform:translate(-50%)}.stage.with-board .status-chip{left:27%}.status-chip:before{content:"";background:var(--muted);border-radius:50%;width:8px;height:8px}.chip-listening:before{background:var(--green);animation:1.2s infinite pulse}.chip-thinking:before{background:var(--amber);animation:.6s infinite pulse}.chip-speaking:before{background:var(--accent)}.chip-muted:before{background:var(--red)}.error-banner{color:#ffd9da;z-index:7;max-width:min(760px,90%);box-shadow:var(--shadow);background:#3a1a1d;border:1px solid #e5484db3;border-radius:12px;align-items:center;gap:10px;padding:10px 12px 10px 14px;font-size:14px;display:flex;position:absolute;top:64px;left:50%;transform:translate(-50%)}.error-banner .icon{color:#ff8a8e}.error-text{flex:1}.side-panel{background:var(--panel);border-left:1px solid var(--border);flex-direction:column;flex:none;width:360px;min-height:0;display:flex}.side-header{border-bottom:1px solid var(--border);justify-content:space-between;align-items:center;padding:8px 10px;display:flex}.tabs{gap:4px;display:flex}.tab{color:var(--muted);background:0 0;border:none;border-radius:8px;padding:7px 12px;font-weight:600}.tab.active{background:var(--panel-2);color:var(--text)}.side-body{flex-direction:column;flex:1;min-height:0;display:flex}.transcript{flex-direction:column;flex:1;gap:12px;padding:12px;display:flex;overflow:auto}.msg-head{align-items:center;gap:8px;margin-bottom:4px;font-size:12.5px;display:flex}.msg-head time{color:var(--muted);font-size:11.5px}.msg-head .via .icon{width:13px;height:13px;color:var(--muted)}.msg-text{background:var(--panel-2);white-space:pre-wrap;word-wrap:break-word;border-radius:12px;padding:8px 12px;font-size:14px;line-height:1.45}.msg.user{align-self:flex-end;max-width:88%}.msg.user .msg-head{justify-content:flex-end}.msg.user .msg-text{background:#173a66}.msg.tutor{max-width:94%}.msg.event{color:var(--muted);border:1px solid var(--border);background:#16171b;border-radius:999px;align-self:center;align-items:center;gap:6px;padding:3px 10px;font-size:12px;display:inline-flex}.msg.event .icon{width:14px;height:14px}.interrupted{color:var(--muted);font-size:12px}.chat-input{border-top:1px solid var(--border);gap:8px;padding:10px;display:flex}.plan{padding:16px;overflow:auto}.plan-head strong{font-size:16px}.plan-head p{margin:6px 0 14px;font-size:13px}.plan-progress{color:var(--muted);align-items:center;gap:10px;margin-bottom:12px;font-size:13px;display:flex}.plan-progress .bar{background:#121317;border-radius:99px;flex:1;height:8px;overflow:hidden}.plan-progress .fill{background:linear-gradient(90deg,#22c55e,#84cc16);height:100%;transition:width .4s}.objectives{flex-direction:column;gap:8px;margin:0;padding:0;list-style:none;display:flex}.objectives li{border:1px solid var(--border);background:#16171b;border-radius:10px;align-items:flex-start;gap:10px;padding:10px 12px;font-size:14px;line-height:1.4;display:flex}.objectives .check{color:#0000;border:2px solid #4b4e57;border-radius:50%;flex:none;place-items:center;width:20px;height:20px;display:grid}.objectives .check .icon{width:12px;height:12px}.objectives li.done{border-color:#22c55e73}.objectives li.done .check{background:var(--green);border-color:var(--green);color:#06270f}.control-bar{background:#16171a;border-top:1px solid #222328;justify-content:space-between;align-items:center;padding:0 14px;display:flex}.ctrl-group{align-items:center;gap:2px;display:flex}.ctrl-group.center{position:relative}.ctrl{color:#e7e8ec;background:0 0;border:none;border-radius:10px;flex-direction:column;align-items:center;gap:4px;min-width:76px;padding:8px 10px;font-size:12px;display:flex;position:relative}.ctrl .icon{width:24px;height:24px}.ctrl:hover{background:#26272c}.ctrl.active{color:#7fb8ff}.ctrl.off .icon{color:var(--red)}.ctrl.interrupt{color:var(--amber)}.mic-level{background:var(--green);transform-origin:bottom;pointer-events:none;opacity:.9;border-radius:3px;width:6px;height:12px;position:absolute;top:10px;left:calc(50% - 3px);transform:scaleY(0)}.ctrl.off .mic-level{display:none}.badge{background:var(--red);color:#fff;text-align:center;border-radius:9px;min-width:18px;padding:0 5px;font-size:11px;line-height:18px;position:absolute;top:3px;right:16px}.leave{padding:10px 20px}.react-wrap{position:relative}.react-menu{box-shadow:var(--shadow);z-index:20;background:#232428;border:1px solid #34353b;border-radius:14px;gap:4px;padding:8px;display:flex;position:absolute;bottom:74px;left:50%;transform:translate(-50%)}.reaction{background:0 0;border:none;border-radius:10px;flex-direction:column;align-items:center;gap:4px;min-width:78px;padding:8px 6px;font-size:11.5px;display:flex}.reaction:hover{background:#2f3036}.reaction .emoji{font-size:26px}.ctrl-group.right{position:relative}.leave-pop{width:270px;box-shadow:var(--shadow);z-index:20;background:#232428;border:1px solid #34353b;border-radius:14px;flex-direction:column;gap:8px;padding:14px;display:flex;position:absolute;bottom:70px;right:0}.leave-pop p{margin:0 0 4px;font-size:14px}@media (max-width:1150px){.ctrl{min-width:58px;padding:8px 6px}.ctrl-label{font-size:11px}.side-panel{width:300px}}.overlay{z-index:50;background:#0009;place-items:center;animation:.15s ease-out fade;display:grid;position:fixed;inset:0}@keyframes fade{0%{opacity:0}}.modal{background:var(--panel);border:1px solid var(--border);width:min(560px,92vw);max-height:88vh;box-shadow:var(--shadow);border-radius:18px;flex-direction:column;display:flex}.modal-head{justify-content:space-between;align-items:flex-start;gap:12px;padding:18px 20px 10px;display:flex}.modal-head h2{margin:0;font-size:19px}.modal-head p{margin:4px 0 0}.modal-body{padding:6px 20px 12px;overflow:auto}.modal-foot{border-top:1px solid var(--border);justify-content:flex-end;gap:10px;padding:12px 20px 18px;display:flex}.modal.confirm{width:min(440px,92vw)}.confirm-body{align-items:flex-start;gap:12px;padding:20px 20px 16px;display:flex}.confirm-body p{margin:0;line-height:1.5}.confirm-icon .icon{width:22px;height:22px;color:var(--amber)}.settings{flex-direction:column;gap:16px;display:flex}.setting{flex-direction:column;gap:8px;display:flex}.setting>label{color:var(--muted);font-size:13px;font-weight:600}.setting.switch-label{flex-direction:row;font-size:14px}.range-row{align-items:center;gap:12px;display:flex}.range-row input{accent-color:var(--accent);flex:1}.range-val{font-variant-numeric:tabular-nums;min-width:48px}.modal.recap{width:min(780px,94vw)}.recap-stats{flex-wrap:wrap;gap:10px;padding:0 20px 12px;display:flex}.recap-stats>div{border:1px solid var(--border);background:#16171b;border-radius:10px;flex-direction:column;padding:8px 14px;display:flex}.recap-stats small{color:var(--muted);font-size:11.5px}.recap-body{padding:0 20px 16px;overflow:auto}.recap-loading{color:var(--muted);align-items:center;gap:12px;padding:30px 0;display:flex}.notes{color:#1f2328;background:#fbfbf8;border-radius:14px;padding:18px 22px;line-height:1.55}.notes h2{margin:14px 0 6px;font-size:20px}.notes h2:first-child{margin-top:0}.toasts{z-index:60;pointer-events:none;flex-direction:column;gap:8px;display:flex;position:fixed;bottom:96px;left:20px}.toast{border:1px solid var(--border);max-width:420px;box-shadow:var(--shadow);opacity:0;background:#26272c;border-radius:10px;padding:10px 14px;font-size:14px;transition:opacity .25s,transform .25s;transform:translateY(8px)}.toast.show{opacity:1;transform:none}.toast-success{border-color:#22c55e8c}.toast-error{border-color:#e5484db3}::-webkit-scrollbar{width:10px;height:10px}::-webkit-scrollbar-thumb{background:#3a3c44 padding-box padding-box;border:2px solid #0000;border-radius:10px}.pill.free-lesson{color:#86efac;background:#22c55e1f}.pill.free-lesson .icon{color:var(--green)}.pill.free-lesson.used{background:var(--panel-2);color:var(--muted)}.pill.free-lesson.used .icon{color:var(--muted)}.join.subscribe-cta{background:linear-gradient(135deg,#2d8cff,#7c5cff)}.join.subscribe-cta:hover{background:linear-gradient(135deg,#0e6fe8,#6a48f0)}.banner{border-bottom:1px solid var(--border);flex-wrap:wrap;justify-content:space-between;align-items:center;gap:12px;padding:10px 28px;font-size:13.5px;display:flex}.banner.warn{color:var(--amber);background:#f5b83d1a}.modal.pricing{width:min(460px,94vw)}.price-tag{align-items:baseline;gap:8px;margin:4px 0 2px;display:flex}.price-tag .amount{letter-spacing:-.5px;font-size:40px;font-weight:800}.price-tag .per{color:var(--muted);font-size:16px}.price-vat{color:var(--muted);margin:0 0 16px;font-size:13px}.feature-list{flex-direction:column;gap:10px;margin:0 0 6px;padding:0;list-style:none;display:flex}.feature-list li{align-items:flex-start;gap:10px;font-size:14px;line-height:1.4;display:flex}.feature-list .icon{width:18px;height:18px;color:var(--green);margin-top:1px}.pricing-foot{flex-direction:column;align-items:stretch}.pricing-foot .pay{padding:12px 18px;font-size:15px}.stripe-note{color:var(--muted);text-align:center;margin:0;font-size:12px}@media (max-width:640px){.banner{padding:10px 16px}.lobby-header{padding:12px 16px}}.intro{flex-direction:column;min-height:100%;display:flex}.intro-main{flex:1;width:100%;max-width:1200px;margin:0 auto;padding:0 28px 48px}.intro-hero{grid-template-columns:minmax(0,1fr) minmax(0,1fr);align-items:center;gap:48px;padding:56px 0 32px;display:grid}.intro-eyebrow{color:#93c5fd;letter-spacing:.06em;text-transform:uppercase;margin:0 0 12px;font-size:13px;font-weight:700}.intro-copy h1{letter-spacing:-.02em;margin:0;font-size:clamp(30px,3.6vw,44px);line-height:1.12}.intro-lead{color:#c9cad1;max-width:58ch;margin:18px 0 26px;font-size:16.5px;line-height:1.6}.intro-cta{flex-wrap:wrap;gap:12px;display:flex}.intro-cta.pending{visibility:hidden}.intro-copy .hint{max-width:58ch;margin-top:12px;line-height:1.5}.intro-price-hint{min-height:1.5em}.intro-tile{aspect-ratio:4/3;box-shadow:var(--shadow)}.intro-caption{z-index:3;text-align:center;background:#000000b3;border-radius:10px;margin:0;padding:10px 14px;font-size:15px;line-height:1.45;position:absolute;bottom:16px;left:16px;right:16px}.intro-caption strong{color:#93c5fd}.intro-section{padding:40px 0 8px}.intro-section>h2{letter-spacing:-.01em;text-align:center;margin:0 0 22px;font-size:26px}.intro-section>h2:has(+.intro-sub){margin-bottom:6px}.intro-sub{color:var(--muted);text-align:center;margin:0 0 22px}.intro-steps,.intro-reasons{grid-template-columns:repeat(3,minmax(0,1fr));gap:16px;margin:0;padding:0;list-style:none;display:grid}.intro-card{padding:22px}.intro-card h3{margin:14px 0 6px;font-size:16.5px}.intro-card p{color:var(--muted);margin:0;font-size:14.5px;line-height:1.55}.step-num{color:#fff;background:linear-gradient(135deg,#2d8cff,#7c5cff);border-radius:50%;place-items:center;width:34px;height:34px;font-weight:700;display:inline-grid}.reason-icon{color:#93c5fd;background:#2d8cff24;border-radius:11px;place-items:center;width:40px;height:40px;display:inline-grid}.intro-subjects{justify-content:center;margin-top:22px}.intro-subjects .chip,.intro-subjects .chip:hover{border-color:var(--border);cursor:default}.intro-price{flex-direction:column;width:min(440px,100%);margin:0 auto;padding:28px;display:flex}.intro-price .pill{align-self:flex-start;margin-bottom:6px}.intro-price .spinner{align-self:center}.intro-price .intro-cta{margin-top:20px}.intro-price .intro-cta .btn{flex:1}.intro-price .hint{text-align:center;margin-top:10px}.intro-note{text-align:center;margin-top:18px}@media (max-width:900px){.intro-hero{grid-template-columns:1fr;gap:28px;padding:32px 0 16px}.intro-steps{grid-template-columns:1fr}.intro-reasons{grid-template-columns:repeat(2,minmax(0,1fr))}}@media (max-width:640px){.intro-main{padding:0 16px 40px}.intro-reasons{grid-template-columns:1fr}.intro-section>h2{font-size:22px}.intro-card,.intro-price{padding:20px}.intro-cta .btn{flex:1}}@media (max-width:520px){.intro-nav-btn{display:none}}@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:"0.18.9"}.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 .reflectbox{display:inline-block;transform:scaleX(-1)}.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}
