@import"https://fonts.googleapis.com/css2?family=Bricolage+Grotesque:opsz,wght@12..96,500;12..96,700;12..96,800&family=Newsreader:opsz,ital,wght@6..72,400;6..72,500;6..72,600&display=swap";:root{--transition-time: 1.2s;--radius: 25px;--bg-gradient: linear-gradient(135deg, #e0b0ff, #90e0ff, #ffb3b3);--white-glass: rgba(255, 255, 255, .5);--white-glass-strong: rgba(255, 255, 255, .75);--shadow: 0 12px 30px rgba(0, 0, 0, .12);--blue: #007aff;--system-message-bg: rgba(200, 200, 210, .4);--system-message-text: #444;--animation-fast: .4s;--animation-cubic-bezier: cubic-bezier(.4, 0, .2, 1)}html,body{margin:0;height:100%;background:var(--bg-gradient);font-family:-apple-system,BlinkMacSystemFont,sans-serif;display:flex;flex-direction:column;-webkit-backdrop-filter:blur(25px);backdrop-filter:blur(25px);overflow:hidden}.top-menu{position:fixed;top:20px;left:50%;transform:translate(-50%);background:var(--white-glass);-webkit-backdrop-filter:blur(20px);backdrop-filter:blur(20px);border-radius:var(--radius);box-shadow:var(--shadow);padding:1.2rem 2rem;display:flex;align-items:center;justify-content:flex-start;gap:1rem;z-index:20;transition:all .4s ease;flex-wrap:nowrap;width:auto;max-width:90%}.top-menu #settingsBtn{margin-left:auto}.top-menu.shrink{padding:.6rem 1.4rem;transform:translate(-50%) scale(.95);-webkit-backdrop-filter:blur(35px);backdrop-filter:blur(35px);opacity:.92}.top-menu .logo{font-weight:700;font-size:1.5rem}.top-menu button{background-color:var(--blue);color:#fff;border:none;border-radius:var(--radius);padding:.6rem 1.1rem;font-size:.9rem;cursor:pointer;transition:background .4s ease,transform .2s ease,filter .2s ease;min-width:100px;min-height:40px;display:flex;justify-content:center;align-items:center;text-align:center;white-space:nowrap}.top-menu button:hover{filter:brightness(1.15)}.top-menu button:active{transform:scale(.88)}.top-menu button.icon-button-top{background:var(--white-glass);color:#555;border:1px solid rgba(0,0,0,.1);padding:.6rem .8rem;font-size:1.2rem;min-width:unset;min-height:unset;margin-left:.5rem}.top-menu button.icon-button-top:hover{filter:brightness(.9);color:var(--blue)}#graphicSettingsFixedBtn{position:fixed;bottom:20px;right:20px;background-color:var(--blue);color:#fff;border:none;border-radius:50%;width:55px;height:55px;font-size:1.8rem;display:flex;justify-content:center;align-items:center;box-shadow:var(--shadow);cursor:pointer;z-index:50;transition:transform .2s ease,background-color .4s ease}#graphicSettingsFixedBtn:hover{background-color:#0056b3;transform:rotate(20deg) scale(1.05)}#graphicSettingsFixedBtn:active{transform:scale(.95)}.messages{flex:1;overflow-y:auto;padding:7.5rem 2rem 140px;display:flex;flex-direction:column;gap:1.5rem;scroll-behavior:smooth}.message{max-width:70%;padding:1rem 1.2rem;border-radius:var(--radius);-webkit-backdrop-filter:blur(12px);backdrop-filter:blur(12px);box-shadow:var(--shadow);font-size:1.05rem;display:inline-block;width:fit-content;overflow-wrap:break-word;word-break:break-word;position:relative;transition:padding .35s var(--animation-cubic-bezier),max-width .35s var(--animation-cubic-bezier),background-color .25s ease}.message.has-feedback-btn{padding-right:calc(1.2rem + 32px);padding-bottom:calc(1rem + 20px)}.message.pop-in-animated{animation:popIn 1.2s ease forwards}.message p:first-child{margin-top:0}.message p:last-child{margin-bottom:0}.message h1,.message h2,.message h3,.message h4,.message h5,.message h6{margin-top:1em;margin-bottom:.5em;font-weight:700}.message ul,.message ol{margin-top:.5em;margin-bottom:.5em;padding-left:1.5em}.message li{margin-bottom:.2em}.message code{background-color:#00000014;padding:.2em .4em;border-radius:4px;font-family:SFMono-Regular,Consolas,Liberation Mono,Menlo,Courier,monospace;font-size:.9em}.message pre{background-color:#00000014;padding:1em;border-radius:8px;overflow-x:auto}.message pre code{padding:0;background:none;font-size:1em}.message a{color:var(--blue);text-decoration:underline;background:none;border:none;padding:0}.message blockquote{border-left:4px solid var(--system-message-text);padding-left:1em;margin-left:0;color:var(--system-message-text);font-style:italic}.message .math-inline{background:linear-gradient(135deg,#ffffffe6,#f0f0ffd9);padding:.3em .6em;border-radius:8px;display:inline-block;margin:0 4px;vertical-align:middle;border:1px solid rgba(150,150,200,.3);box-shadow:0 2px 8px #00000014;transition:transform .2s ease,box-shadow .2s ease}.message .math-inline:hover{transform:scale(1.02);box-shadow:0 3px 12px #0000001f}.message .math-inline .katex{font-size:1.05em}.message .math-block{background:linear-gradient(135deg,#fffffff2,#f5f5ffe6);padding:1.2em 1.5em;border-radius:12px;display:block;margin:1em 0;overflow-x:auto;text-align:center;border:2px solid rgba(150,150,200,.3);box-shadow:0 4px 16px #0000001a;transition:transform .2s ease,box-shadow .2s ease}.message .math-block:hover{transform:translateY(-2px);box-shadow:0 6px 20px #00000026}.message .math-block .katex{font-size:1.25em}.message .math-error{color:#c44;font-style:italic;border:2px dashed #cc4444}.message.bot .katex{color:#1a1a2e;font-weight:500}.message.user .math-inline,.message.user .math-block{background:linear-gradient(135deg,#ffffff40,#ffffff26);border-color:#fff6}.message.user .katex{color:#fff;text-shadow:0 1px 2px rgba(0,0,0,.1)}.user{align-self:flex-end;background-color:var(--blue);color:#fff;border-bottom-right-radius:0}.bot{align-self:flex-start;background-color:#f0f0f0;color:#333;border-bottom-left-radius:0}.bot.loading{font-style:italic;opacity:.7;display:flex;align-items:center;will-change:width,padding;transition:width .35s var(--animation-cubic-bezier),padding .35s var(--animation-cubic-bezier)}.system{align-self:center;background-color:var(--system-message-bg);color:var(--system-message-text);font-style:italic;font-size:.9rem;padding:.6rem 1rem;max-width:60%;text-align:center;border-radius:calc(var(--radius) / 2)}.terms-banner{text-align:left;font-style:normal;font-size:.95rem;background:#ffffffd9;color:#222;border:1px solid rgba(0,0,0,.05);box-shadow:var(--shadow)}.terms-banner__title{font-weight:700;margin-bottom:.25rem}.terms-banner__text{margin:.2rem 0 .6rem}.terms-banner__actions{display:flex;flex-wrap:wrap;gap:10px;align-items:center}.terms-banner__actions a{color:var(--blue);text-decoration:underline;font-weight:600;background:none;border:none;padding:0}.terms-banner__actions a:hover{text-decoration:none}.terms-banner__actions button.primary{padding:.55rem 1.2rem}.system.unverified-email-message{background-color:#ffc80066;border:1px solid rgba(255,150,0,.6);color:#640;max-width:75%}.system.unverified-email-message a{color:var(--blue);text-decoration:underline;font-weight:700;background:none;border:none;padding:0}input:disabled{background-color:#ffffff4d;cursor:not-allowed}body.no-animations .message.pop-in-animated{animation:none!important}body.no-animations .bot.loading:after{animation:none!important}@keyframes popIn{0%{opacity:0;transform:scale(.92) translateY(20px);filter:blur(6px)}to{opacity:1;transform:scale(1) translateY(0);filter:blur(0)}}@keyframes fadeInOut{0%{opacity:.6}50%{opacity:1}to{opacity:.6}}@keyframes smoothFadeIn{0%{opacity:0;transform:translateY(4px)}to{opacity:1;transform:translateY(0)}}@keyframes smoothFadeOut{0%{opacity:1;transform:translateY(0)}to{opacity:0;transform:translateY(-4px)}}@keyframes slideUp{0%{opacity:0;transform:translateY(10px)}to{opacity:1;transform:translateY(0)}}.message.bot.loading .loading-text{display:inline-block;animation:smoothFadeIn .5s ease-out forwards;transition:width .35s var(--animation-cubic-bezier)}.message.bot.loading .loading-text.fade-out{animation:smoothFadeOut .3s ease-in forwards}.loading-progress-dot{display:inline-block;width:6px;height:6px;border-radius:50%;background:currentColor;margin-left:3px;animation:slideUp .4s ease-out}.input-wrapper{position:fixed;left:50%;display:flex;background:var(--white-glass);box-shadow:var(--shadow);-webkit-backdrop-filter:blur(30px);backdrop-filter:blur(30px);border-radius:var(--radius);z-index:10;transition:all .7s cubic-bezier(.4,0,.2,1);transform-origin:center}.input-wrapper.small{top:50%;transform:translate(-50%,-50%) scale(1);width:380px;padding:.7rem 1.2rem}.input-wrapper.large{bottom:24px;top:auto;transform:translate(-50%) scale(1);width:calc(100% - 4rem);max-width:600px;padding:1rem 1.5rem}input{flex:1;border:none;background:transparent;font-size:1.1rem;padding:.5rem .2rem;outline:none;color:#333}button.image-upload-btn{background-color:var(--blue);color:#fff;border:none;border-radius:var(--radius);padding:.8rem .9rem;margin-right:.5rem;font-size:1.1rem;cursor:pointer;transition:background .4s ease,transform .25s ease,filter .25s ease;display:flex;align-items:center;justify-content:center;min-width:44px;min-height:44px}button.image-upload-btn:hover{filter:brightness(1.15)}button.image-upload-btn:active{transform:scale(.85)}button.image-upload-btn:disabled{opacity:.7;cursor:not-allowed;filter:grayscale(50%)}button.send-btn{background-color:var(--blue);color:#fff;border:none;border-radius:var(--radius);padding:.8rem 1.4rem;margin-left:1rem;font-size:1.1rem;cursor:pointer;transition:background .4s ease,transform .25s ease,filter .25s ease,opacity .25s ease}button.send-btn:hover{filter:brightness(1.15)}button.send-btn:active{transform:scale(.85)}button.send-btn:disabled{opacity:.7;cursor:not-allowed;filter:grayscale(50%)}body{opacity:0;animation:fadeInBody 1.2s ease forwards}@keyframes fadeInBody{0%{opacity:0}to{opacity:1}}.version-info{position:fixed;bottom:5px;left:50%;transform:translate(-50%);font-size:.75rem;color:#666;z-index:5;text-align:center;width:100%;padding:.2rem 0}.connexion-panel{position:fixed;top:0;left:0;width:100%;height:100%;background-color:#0003;-webkit-backdrop-filter:blur(15px);backdrop-filter:blur(15px);z-index:100;display:flex;align-items:center;justify-content:center;opacity:1;pointer-events:all;transition:opacity .4s ease}.connexion-panel.hidden{display:none!important;opacity:0;pointer-events:none}.connexion-content{background:var(--white-glass-strong);padding:2.5rem 3rem;border-radius:var(--radius);box-shadow:var(--shadow);width:95%;max-width:400px;max-height:85vh;overflow-y:auto;text-align:center;position:relative;transform:scale(1);transition:transform .4s cubic-bezier(.4,0,.2,1)}.connexion-panel.hidden .connexion-content{transform:scale(.9)}.connexion-content h2{margin-top:0;margin-bottom:2rem;color:#333}.connexion-content input{width:100%;padding:.8rem;margin-bottom:1rem;border-radius:12px;border:1px solid rgba(0,0,0,.1);background:#ffffffb3;box-sizing:border-box}.connexion-content button.primary{width:100%;background-color:var(--blue);color:#fff;border:none;padding:.9rem;border-radius:12px;font-size:1.1rem;cursor:pointer;transition:background .4s ease,transform .2s ease}.connexion-content button.primary:hover{filter:brightness(1.15)}.connexion-content button.primary:active{transform:scale(.95)}.checkbox-row{text-align:left;margin-top:.6rem}.checkbox-label{display:flex;gap:10px;align-items:flex-start;font-size:.95rem;line-height:1.4;color:#333}.checkbox-label input{margin-top:.2rem}.checkbox-label a{color:var(--blue);text-decoration:underline;background:none;border:none;padding:0}.checkbox-label a:hover{text-decoration:none}.close-btn{position:absolute;top:15px;right:15px;background:none;border:none;font-size:1.5rem;color:#555;cursor:pointer;line-height:1}#connexionPanel .connexion-content form{display:none}#connexionPanel .connexion-content[data-mode=login] #loginForm,#connexionPanel .connexion-content[data-mode=signup] #signupForm{display:block}.switch-form-link{display:block;margin-top:1.5rem;font-size:.9em;color:var(--blue);cursor:pointer;text-decoration:underline;transition:color .3s ease;background:none;border:none;padding:0}.switch-form-link:hover{color:#0056b3}.error-message{color:red;font-size:.85em;margin-top:10px;margin-bottom:5px;text-align:left}.connexion-content textarea{width:100%;padding:.8rem;margin-bottom:1rem;border-radius:12px;border:1px solid rgba(0,0,0,.1);background:#ffffffb3;box-sizing:border-box;resize:vertical;font-family:-apple-system,BlinkMacSystemFont,sans-serif;font-size:1.1rem;color:#333}.panel-body{text-align:left;padding:1rem 0;color:#444;line-height:1.5}.panel-body p{margin-bottom:1rem}.panel-section{border-top:1px solid rgba(0,0,0,.1);padding:1.5rem 0;margin-top:1.5rem;text-align:left}.panel-section:first-of-type{border-top:none;padding-top:0;margin-top:0}.panel-section h3{margin-top:0;margin-bottom:1rem;color:#444;text-align:center}.panel-section p{margin-bottom:1rem;font-size:.95rem;color:#555}.panel-section input{margin-bottom:.75rem}#imageUploadModal .panel-section{border-top:none;padding:.75rem 0;margin:.75rem 0}#imageUploadModal .panel-section button{width:100%;margin:.5rem 0;padding:.85rem 1.2rem}#settingsPanel .connexion-content button.primary{margin-bottom:1rem}button.danger-button{background-color:#dc3545}button.danger-button:hover{filter:brightness(1.15)}.panel-section p button.primary{display:inline-block;width:auto;padding:.5rem 1rem;font-size:.85rem;margin-left:10px;vertical-align:middle}.connexion-content .back-btn{background-color:#6c757d;margin-top:1.5rem}.connexion-content .back-btn:hover{filter:brightness(1.15)}input[type=range]{-webkit-appearance:none;width:100%;height:8px;background:#d3d3d3;outline:none;opacity:.7;transition:opacity .2s;border-radius:5px;margin-top:10px;margin-bottom:5px}input[type=range]::-webkit-slider-thumb{-webkit-appearance:none;-moz-appearance:none;appearance:none;width:20px;height:20px;border-radius:50%;background:var(--blue);cursor:pointer;border:2px solid white;box-shadow:0 0 5px #0003}input[type=range]::-moz-range-thumb{width:20px;height:20px;border-radius:50%;background:var(--blue);cursor:pointer;border:2px solid white;box-shadow:0 0 5px #0003}.level-labels-full-range{display:flex;justify-content:space-between;font-size:.7em;color:#666;margin-top:.2rem;padding:0 5px;text-align:center}.level-labels-full-range span{flex:1;padding:0 2px;min-width:0}#mobileMenuToggle{display:none}#mobileMenuPanel{position:fixed;top:0;left:0;width:100%;height:100%;z-index:90;display:none;justify-content:flex-end;opacity:0;pointer-events:none;background-color:#0000;-webkit-backdrop-filter:blur(0px);backdrop-filter:blur(0px);transition:opacity var(--animation-fast) ease,backdrop-filter var(--animation-fast) ease,background-color var(--animation-fast) ease}#mobileMenuPanel.open{opacity:1;pointer-events:all;background-color:#0006;-webkit-backdrop-filter:blur(10px);backdrop-filter:blur(10px)}.mobile-menu-content{background:var(--white-glass-strong);border-radius:var(--radius) 0 0 var(--radius);padding:20px;display:flex;flex-direction:column;gap:15px;width:80%;max-width:280px;height:100%;box-shadow:var(--shadow);box-sizing:border-box;transform:translate(100%);transition:transform var(--animation-fast) var(--animation-cubic-bezier)}#mobileMenuPanel.open .mobile-menu-content{transform:translate(0)}#mobileMenuPanel button{background-color:var(--blue);color:#fff;border:none;border-radius:12px;padding:1rem 1.2rem;font-size:1rem;font-weight:500;cursor:pointer;text-align:center;display:flex;justify-content:center;align-items:center;opacity:0;transform:translate(20px);transition:opacity .5s ease,transform .5s ease}#mobileMenuPanel.open .mobile-menu-content button{opacity:1;transform:translate(0)}#mobileMenuPanel.open #mobileMenuToggle{transition-delay:.05s}#mobileMenuPanel.open #mobileNewConversationBtn{transition-delay:.1s}#mobileMenuPanel.open #mobileHistoryBtn{transition-delay:.15s}#mobileMenuPanel.open #mobileConnexionBtn{transition-delay:.2s}#mobileMenuPanel.open #mobileContactBtn{transition-delay:.25s}#mobileMenuPanel.open #mobileSettingsBtn{transition-delay:.3s}#mobileMenuPanel.open #mobileGraphicSettingsBtn{transition-delay:.35s}#mobileMenuPanel .close-mobile-menu-btn{background:none;color:#555;font-size:2rem;align-self:flex-end;margin:-10px -5px 10px 0;padding:0;min-height:auto;min-width:auto;width:40px;height:40px;opacity:0;transform:none;transition:opacity .3s ease}#mobileMenuPanel.open .close-mobile-menu-btn{opacity:1}@media(max-width:860px){.top-menu{top:8px;padding:.4rem .5rem;gap:.5rem;width:calc(100% - 1.2rem)}.top-menu .logo{font-size:1.2rem}.top-menu #newConversationBtn,.top-menu #historyBtn,.top-menu #connexionBtn,.top-menu #contactBtn,.top-menu #settingsBtn{display:none}#mobileMenuToggle{display:flex;padding:.6rem 1.1rem;font-size:.9rem;min-width:60px;min-height:28px;justify-content:center;align-items:center;margin-left:auto}#graphicSettingsFixedBtn{display:none}#mobileMenuPanel{display:flex}.messages{padding:6rem .5rem 100px}.message{font-size:.95rem}.input-wrapper.large{width:calc(100% - 1rem);padding:.6rem .8rem;bottom:8px}input{font-size:.95rem}button.send-btn{padding:.5rem .8rem;font-size:.95rem}.connexion-content{padding:2rem 1.5rem}}#graphicSettingsPanel .connexion-content{max-width:400px;width:95%;max-height:85vh;overflow-y:auto}.connexion-content.like-login{max-width:480px;width:95%;max-height:85vh;overflow-y:auto;padding:24px 22px 18px;text-align:center}.like-login .modal-title{margin:2px 0 10px;font-size:1.35rem;font-weight:800}.like-login .modal-body p{color:#333;opacity:.9}.like-login .modal-footnote{margin-top:10px;font-size:.85rem;opacity:.6}.rating-section{margin-bottom:1.5rem}.star-rating{display:flex;gap:.5rem;margin:.75rem 0}.star-rating .star{background:none;border:none;font-size:2.5rem;color:#ddd;cursor:pointer;transition:all .2s ease;padding:0;line-height:1}.star-rating .star:hover,.star-rating .star.active{color:#ffc107;transform:scale(1.2)}.star-rating .star:active{transform:scale(.95)}.checkbox-label{display:flex;align-items:flex-start;gap:.5rem;cursor:pointer;font-size:.95rem}.checkbox-label input[type=checkbox]{margin-top:.2rem;cursor:pointer;accent-color:var(--blue)}.checkbox-label span{line-height:1.4}.message-content-wrapper{display:block;width:100%}.message-content{display:block}.feedback-btn-inline{display:inline-flex;align-items:center;justify-content:center;background:#6496ff33;border:1px solid rgba(100,150,255,.4);border-radius:50%;width:28px;height:28px;padding:0;font-size:.85rem;cursor:pointer;transition:all .2s ease;position:absolute;right:10px;bottom:8px}.feedback-btn-inline:hover{background:#6496ff66;transform:scale(1.15)}.feedback-btn-inline:active{transform:scale(.9)}.message.bot.has-feedback .feedback-btn-inline{background:#4caf504d;border-color:#4caf5080;color:#4caf50}.message.error .message-content{border-left:4px solid #ef4444;background:#fee2e280}.mp-retry-btn{display:inline-flex;align-items:center;gap:.4rem;margin-top:.6rem;padding:.4rem .9rem;background:var(--blue, #007aff);color:#fff;border:none;border-radius:14px;font-size:.85rem;font-weight:600;cursor:pointer;box-shadow:0 2px 6px #007aff40;transition:transform .15s ease,background .15s ease}.mp-retry-btn:hover{transform:translateY(-1px);background:#0066d6}.mp-retry-btn:focus-visible{outline:3px solid rgba(0,122,255,.4);outline-offset:2px}.message.streaming .message-content:after{content:"▋";margin-left:2px;color:#888;animation:mp-blink .9s steps(2,start) infinite}@keyframes mp-blink{to{visibility:hidden}}#mp-backend-status{position:fixed;bottom:12px;right:12px;z-index:9999;padding:6px 10px;border-radius:999px;background:#0000008c;color:#fff;font-size:.78rem;line-height:1.2;display:none;align-items:center;gap:6px;box-shadow:0 4px 14px #0000002e;transition:opacity .25s ease}#mp-backend-status.visible{display:inline-flex}#mp-backend-status .mp-dot{width:8px;height:8px;border-radius:50%;background:#4ade80;box-shadow:0 0 6px #4ade8099}#mp-backend-status[data-status=warming] .mp-dot{background:#f59e0b;box-shadow:0 0 6px #f59e0b99}#mp-backend-status[data-status=down] .mp-dot{background:#ef4444;box-shadow:0 0 6px #ef4444b3}.mp-history-search{margin:.5rem .75rem;display:flex;gap:.4rem;align-items:center}.mp-history-search input{flex:1;padding:.45rem .75rem;border-radius:14px;border:1px solid rgba(0,0,0,.12);background:var(--white-glass-strong, rgba(255, 255, 255, .85));font-size:.9rem}.mp-history-search input:focus-visible{outline:2px solid var(--blue, #007aff);outline-offset:1px}.mp-hidden-by-search{display:none!important}:root{--ink: #0b1c33;--ink-soft: #8a9bb0;--paper: #f6f3ee;--paper-deep: #ebe6dc;--lavender: #c4a8ef;--shell: #8b4db8;--shell-deep: #5c2d8a;--plastron: #f3e6a8;--book: #2a4a8f;--highlight: #f3e6a8;--highlight-ink: #0b1c33;--confetti-cyan: #7ec8e8;--confetti-gold: #f0c14a;--confetti-violet: #b794f0;--line: rgba(11, 28, 51, .12);--line-on-dark: rgba(246, 243, 238, .1);--surface: rgba(255, 255, 255, .88);--ease-out: cubic-bezier(.22, 1, .36, 1);--font-display: "Bricolage Grotesque", "Segoe UI", sans-serif;--font-body: "Newsreader", "Georgia", serif;--max: 1120px;--brand-ink: var(--ink);--brand-plum: var(--shell-deep);--brand-shell: var(--shell);--brand-lavender: #e9ddf7;--brand-gold: var(--plastron);--brand-paper: #fbfafc;--brand-muted: #526174;--brand-line: rgba(11, 28, 51, .13);--brand-shadow: 0 20px 55px rgba(45, 28, 64, .12);--brand-display: var(--font-display);--brand-body: var(--font-body)}:root{--ink-soft: #5a6b80;--transition-time: .55s;--radius: 10px;--bg-gradient: radial-gradient(ellipse 70% 55% at 85% 15%, rgba(139, 77, 184, .28), transparent 55%), radial-gradient(ellipse 50% 45% at 10% 90%, rgba(243, 230, 168, .18), transparent 50%), linear-gradient(165deg, #12263f 0%, var(--ink) 42%, #081422 100%);--white-glass: rgba(246, 243, 238, .88);--white-glass-strong: rgba(255, 255, 255, .94);--shadow: 6px 6px 0 rgba(139, 77, 184, .22);--blue: var(--shell-deep);--system-message-bg: rgba(243, 230, 168, .35);--system-message-text: var(--ink);--animation-fast: .35s;--animation-cubic-bezier: var(--ease-out)}body.chat-app *,body.chat-app *:before,body.chat-app *:after{box-sizing:border-box}body.chat-app .sr-only{position:absolute!important;width:1px!important;height:1px!important;padding:0!important;margin:-1px!important;overflow:hidden!important;clip:rect(0,0,0,0)!important;white-space:nowrap!important;border:0!important}body.chat-app :focus-visible{outline:3px solid rgba(92,45,138,.42);outline-offset:3px}html,body.chat-app{margin:0;height:100%;font-family:var(--font-body);color:var(--ink);background:var(--bg-gradient);background-attachment:fixed;display:flex;flex-direction:column;overflow:hidden;-webkit-font-smoothing:antialiased;scrollbar-width:none}html::-webkit-scrollbar,body.chat-app::-webkit-scrollbar{width:0;height:0;display:none}body.chat-app .top-menu{top:0;left:0;right:0;transform:none;width:100%;max-width:none;border-radius:0;border-bottom:2px solid rgba(243,230,168,.35);background:#0b1c33eb;-webkit-backdrop-filter:blur(14px);backdrop-filter:blur(14px);color:#fff;padding:.7rem clamp(.85rem,3vw,1.5rem);gap:.55rem;box-shadow:none;animation:chat-bar-in .55s var(--ease-out) both}body.chat-app .top-menu.shrink{padding:.45rem clamp(.85rem,3vw,1.5rem);transform:none;opacity:.97;-webkit-backdrop-filter:blur(18px);backdrop-filter:blur(18px)}body.chat-app .top-menu .logo,body.chat-app .top-menu .brand-link{font-family:var(--font-display);font-weight:800;font-size:1.35rem;letter-spacing:-.03em;color:#fff;text-decoration:none;margin-right:.35rem}body.chat-app .top-menu .brand-link:hover{color:var(--plastron)}body.chat-app .menu-cluster{display:flex;align-items:center;gap:.45rem;flex-wrap:nowrap}body.chat-app .menu-cluster.primary{margin-right:auto}body.chat-app .top-menu button{background:transparent;color:#fff;border:2px solid rgba(255,255,255,.28);border-radius:6px;padding:.45rem .85rem;font-family:var(--font-display);font-size:.88rem;font-weight:700;letter-spacing:-.015em;min-width:unset;min-height:2.35rem;box-shadow:none;transition:background .2s ease,border-color .2s ease,transform .2s var(--ease-out),color .2s ease}body.chat-app .top-menu button:hover{filter:none;background:var(--shell);border-color:var(--shell);transform:translateY(-1px)}body.chat-app .top-menu button:active{transform:translateY(1px) scale(.98)}body.chat-app .top-menu button.accent{background:var(--plastron);border-color:var(--plastron);color:var(--ink);box-shadow:3px 3px 0 var(--shell)}body.chat-app .top-menu button.accent:hover{background:#fff;border-color:#fff;color:var(--ink)}body.chat-app .top-menu #settingsBtn{margin-left:0}body.chat-app .top-menu button.icon-button-top{background:transparent;color:#fff;border:2px solid rgba(255,255,255,.28);margin-left:0}body.chat-app #graphicSettingsFixedBtn{position:static;width:auto;height:auto;min-width:unset;min-height:2.35rem;border-radius:6px;font-size:1rem;background:transparent;border:2px solid rgba(255,255,255,.28);box-shadow:none;padding:.45rem .7rem}body.chat-app #graphicSettingsFixedBtn:hover{background:var(--shell);border-color:var(--shell);transform:translateY(-1px) rotate(0)}body.chat-app .messages{flex:1;overflow-y:auto;overflow-x:hidden;overscroll-behavior:contain;padding:5.5rem clamp(1rem,4vw,2rem) 7.5rem;gap:1.1rem;scrollbar-width:thin;scrollbar-color:rgba(243,230,168,.45) transparent}body.chat-app .messages::-webkit-scrollbar{width:6px}body.chat-app .messages::-webkit-scrollbar-thumb{background:#f3e6a873;border-radius:99px}body.chat-app .message{max-width:min(72%,42rem);border-radius:14px;-webkit-backdrop-filter:none;backdrop-filter:none;box-shadow:4px 4px #0b1c331f;font-size:1.05rem;line-height:1.5;animation:chat-msg-in .45s var(--ease-out) both}body.chat-app .message.pop-in-animated{animation:chat-msg-in .5s var(--ease-out) both}body.chat-app .user{background:var(--ink);color:#fff;border-bottom-right-radius:4px;box-shadow:4px 4px #8b4db859}body.chat-app .bot{background:var(--paper);color:var(--ink);border:1.5px solid rgba(255,255,255,.35);border-bottom-left-radius:4px}body.chat-app .bot.loading{opacity:.85;font-style:italic;color:var(--shell-deep)}body.chat-app .system{align-self:center;background:var(--system-message-bg);color:var(--ink);border:2px solid var(--plastron);box-shadow:3px 3px #8b4db833;max-width:min(90%,36rem);text-align:center;font-family:var(--font-display);font-size:.95rem}body.chat-app .terms-banner button{padding:.55rem .9rem;border:2px solid var(--ink);border-radius:6px;background:var(--plastron);color:var(--ink);font-family:var(--font-display);font-weight:800;box-shadow:3px 3px 0 var(--shell);cursor:pointer;transition:transform .2s var(--ease-out),background .2s ease}body.chat-app .terms-banner button:hover{background:#fff;transform:translate(-1px,-1px)}body.chat-app .message a{color:var(--shell-deep)}body.chat-app .user a{color:var(--plastron)}body.chat-app .message .math-inline,body.chat-app .message .math-block{background:#ffffffd9;border-color:#8b4db840}body.chat-app .feedback-btn-inline{background:var(--plastron);color:var(--ink);border:2px solid var(--ink);box-shadow:2px 2px 0 var(--shell)}body.chat-app .chat-welcome{position:fixed;left:50%;top:45%;z-index:4;width:min(760px,calc(100% - 2rem));display:grid;grid-template-columns:150px minmax(0,1fr);align-items:center;gap:1.25rem;color:#fff;transform:translate(-50%,-50%);transition:opacity .35s var(--ease-out),transform .45s var(--ease-out),visibility .35s;animation:chat-welcome-in .75s var(--ease-out) .15s both}body.chat-app .chat-welcome:before,body.chat-app .chat-welcome:after{content:"";position:absolute;z-index:-1;width:8px;height:8px;border-radius:2px;pointer-events:none}body.chat-app .chat-welcome:before{left:8%;top:8%;background:var(--plastron);box-shadow:34rem 2rem 0 var(--lavender),29rem 11rem 0 var(--confetti-cyan, #7ec8e8);animation:chat-confetti-drift 4.5s ease-in-out infinite}body.chat-app .chat-welcome:after{right:4%;top:42%;border-radius:50%;background:var(--shell);box-shadow:-35rem 6rem 0 var(--lavender),-4rem -8rem 0 var(--plastron);animation:chat-confetti-drift 5.2s ease-in-out -1.2s infinite reverse}body.chat-app .chat-welcome.is-hidden{opacity:0!important;visibility:hidden;pointer-events:none;transform:translate(-50%,-46%) scale(.98);animation:none!important}body.chat-app .chat-welcome.is-condensed{transform:translate(-50%,-53%) scale(.98)}body.chat-app .chat-welcome-mascot{width:100%;height:auto;max-height:220px;object-fit:contain;filter:drop-shadow(0 18px 28px rgba(0,0,0,.28));animation:chat-mascot-float 5.5s ease-in-out infinite}body.chat-app .chat-welcome-copy{min-width:0}body.chat-app .chat-welcome-kicker{margin:0 0 .2rem;color:var(--plastron);font-family:var(--font-display);font-size:.9rem;font-weight:800;letter-spacing:.03em;text-transform:uppercase}body.chat-app .chat-welcome h1{margin:0;max-width:34rem;font-family:var(--font-display);font-size:clamp(1.7rem,4vw,2.7rem);font-weight:800;letter-spacing:-.045em;line-height:1.05}body.chat-app .chat-welcome-copy>p:last-child{margin:.65rem 0 0;max-width:31rem;color:#c5d0de;font-size:1.05rem}body.chat-app .chat-suggestions{grid-column:1 / -1;display:grid;grid-template-columns:repeat(3,minmax(0,1fr));gap:.65rem}body.chat-app .chat-suggestions button{min-height:3rem;padding:.7rem .85rem;border:1.5px solid rgba(255,255,255,.28);border-radius:8px;background:#0b1c338c;color:#fff;font-family:var(--font-display);font-size:.9rem;font-weight:700;cursor:pointer;-webkit-backdrop-filter:blur(10px);backdrop-filter:blur(10px);transition:transform .2s var(--ease-out),border-color .2s ease,background .2s ease,box-shadow .2s var(--ease-out)}body.chat-app .chat-suggestions button:hover{transform:translateY(-2px);border-color:var(--plastron);background:var(--shell-deep);box-shadow:4px 4px #f3e6a838}body.chat-app .input-wrapper{position:fixed;left:50%;display:flex;align-items:center;z-index:10;background:#f6f3eef2;border:2px solid var(--ink);border-radius:12px;box-shadow:8px 8px #8b4db847;-webkit-backdrop-filter:blur(12px);backdrop-filter:blur(12px);gap:.55rem;transform-origin:center;transition:all .55s var(--ease-out)}body.chat-app .input-wrapper.small{top:77%;bottom:auto;transform:translate(-50%,-50%);width:min(420px,calc(100% - 2rem));padding:.7rem .85rem;animation:chat-composer-center-in .6s var(--ease-out) .1s both}body.chat-app .input-wrapper.large{top:auto;bottom:1.1rem;transform:translate(-50%);width:min(920px,calc(100% - 1.5rem));padding:.65rem .75rem;animation:chat-composer-dock-in .45s var(--ease-out) both}body.chat-app #userInput{flex:1;min-width:0;border:2px solid transparent;border-radius:8px;background:#fff;padding:.75rem .9rem;font-family:var(--font-body);font-size:1.05rem;color:var(--ink);outline:none;transition:border-color .2s ease,box-shadow .2s var(--ease-out)}body.chat-app #userInput:focus{border-color:var(--shell);box-shadow:3px 3px #8b4db833}body.chat-app #userInput::placeholder{color:#8a9bb0}body.chat-app .image-upload-btn,body.chat-app .send-btn{flex-shrink:0;border-radius:8px;border:2px solid var(--ink);font-family:var(--font-display);font-weight:800;min-height:2.75rem;transition:transform .2s var(--ease-out),background .2s ease,box-shadow .2s var(--ease-out)}body.chat-app .image-upload-btn{background:#fff;color:var(--ink);width:2.75rem;box-shadow:3px 3px #8b4db840}body.chat-app .image-upload-btn:hover{background:var(--lavender);transform:translate(-1px,-1px)}body.chat-app .send-btn{background:var(--plastron);color:var(--ink);padding:0 1.15rem;box-shadow:3px 3px 0 var(--shell)}body.chat-app .send-btn:hover{background:#fff;transform:translate(-1px,-1px);box-shadow:5px 5px 0 var(--shell)}body.chat-app .send-btn:active,body.chat-app .image-upload-btn:active{transform:translate(1px,1px);box-shadow:1px 1px 0 var(--shell)}body.chat-app #miniImagePreviewContainer{bottom:6.5rem!important;border:2px solid var(--ink)!important;border-radius:10px!important;background:var(--paper)!important;box-shadow:5px 5px #8b4db84d!important;animation:chat-msg-in .35s var(--ease-out) both}body.chat-app .connexion-panel:not(.hidden){z-index:10050;background:#0814229e;-webkit-backdrop-filter:blur(8px);backdrop-filter:blur(8px);animation:chat-overlay-in .3s var(--ease-out) both}body.chat-app .connexion-panel.hidden{display:none!important;opacity:0!important;visibility:hidden;pointer-events:none!important;animation:none!important;backdrop-filter:none!important;-webkit-backdrop-filter:none!important}body.chat-app.is-dialog-open .input-wrapper,body.chat-app.is-dialog-open .chat-welcome,body.chat-app.is-dialog-open .version-info,body.chat-app.is-dialog-open #mp-backend-status{pointer-events:none!important;visibility:hidden!important}body.chat-app.is-dialog-open .input-wrapper{display:none!important}body.chat-app .connexion-content button.primary,body.chat-app .connexion-content .primary{touch-action:manipulation;-webkit-tap-highlight-color:rgba(92,45,138,.28);position:relative;z-index:2}@media(hover:none){body.chat-app .connexion-content form>input,body.chat-app .connexion-content form>textarea,body.chat-app .connexion-content form>button,body.chat-app .connexion-content form>.switch-form-link,body.chat-app .connexion-content form>.input-row,body.chat-app .connexion-panel:not(.hidden) .connexion-content{animation:none!important}}body.chat-app .connexion-panel.hidden .connexion-content{animation:none!important}body.chat-app .connexion-panel:not(.hidden) .connexion-content{background:var(--paper);border:2px solid var(--ink);border-radius:12px;box-shadow:10px 10px #8b4db847;color:var(--ink);animation:chat-panel-in .4s var(--ease-out) both}body.chat-app .connexion-content h2{font-family:var(--font-display);font-weight:800;letter-spacing:-.03em;color:var(--ink)}body.chat-app .connexion-content h3{font-family:var(--font-display);font-weight:700}body.chat-app .connexion-content input,body.chat-app .connexion-content textarea{border:2px solid var(--ink);border-radius:8px;background:#fff;font-family:var(--font-body)}body.chat-app .connexion-content input:focus,body.chat-app .connexion-content textarea:focus{outline:none;border-color:var(--shell);box-shadow:3px 3px #8b4db833}body.chat-app .connexion-content .primary,body.chat-app .connexion-content button.primary{background:var(--ink);color:#fff;border:2px solid var(--ink);border-radius:8px;font-family:var(--font-display);font-weight:700;box-shadow:4px 4px 0 var(--plastron);transition:transform .2s var(--ease-out),background .2s ease,box-shadow .2s var(--ease-out)}body.chat-app .connexion-content .primary:hover,body.chat-app .connexion-content button.primary:hover{background:var(--shell-deep);border-color:var(--shell-deep);transform:translate(-1px,-1px);box-shadow:5px 5px 0 var(--plastron)}body.chat-app .connexion-content .secondary{background:#fff;color:var(--ink);border:2px solid var(--ink);border-radius:8px;font-family:var(--font-display);font-weight:700}body.chat-app .connexion-content .close-btn{min-width:2.75rem;min-height:2.75rem;color:var(--ink);border:2px solid var(--ink);border-radius:6px;background:var(--plastron)}body.chat-app .connexion-content .muted{color:var(--ink-soft)}body.chat-app .conversation-item{border:2px solid var(--line);border-radius:8px;background:#fff;transition:transform .2s var(--ease-out),border-color .2s ease,box-shadow .2s var(--ease-out)}body.chat-app .conversation-item:hover{border-color:var(--shell);box-shadow:4px 4px #8b4db833;transform:translateY(-1px)}body.chat-app #mobileMenuOverlay{background:#081422b3}body.chat-app .mobile-menu-content{background:var(--paper);border:2px solid var(--ink);box-shadow:8px 8px #8b4db84d;border-radius:12px}body.chat-app .mobile-menu-content button{font-family:var(--font-display);font-weight:700;border:2px solid var(--ink);border-radius:8px;background:#fff;color:var(--ink)}body.chat-app .mobile-menu-content button:hover{background:var(--plastron)}body.chat-app .version-info{bottom:.35rem;left:.75rem;right:auto;background:transparent;color:#f6f3ee73;font-family:var(--font-display);font-size:.7rem;font-weight:600;box-shadow:none;padding:0}body.chat-app #mp-backend-status{bottom:6.75rem;right:1rem;background:#0b1c33e0;border:1.5px solid rgba(243,230,168,.35);border-radius:8px;font-family:var(--font-display)}body.chat-app .mp-retry-btn{background:var(--shell-deep);border-radius:8px;box-shadow:3px 3px 0 var(--plastron)}body.chat-app .mp-history-search input{border:2px solid var(--ink);border-radius:8px;background:#fff}body.chat-app .star-rating .star{color:#c5c5c5}body.chat-app .star-rating .star.active{color:var(--shell)}@keyframes chat-bar-in{0%{opacity:0;transform:translateY(-.75rem)}to{opacity:1;transform:none}}@keyframes chat-composer-center-in{0%{opacity:0;transform:translate(-50%,-42%) scale(.96)}to{opacity:1;transform:translate(-50%,-50%) scale(1)}}@keyframes chat-composer-dock-in{0%{opacity:.85;transform:translate(-50%,.75rem)}to{opacity:1;transform:translate(-50%)}}@keyframes chat-msg-in{0%{opacity:0;transform:translateY(.65rem) scale(.98)}to{opacity:1;transform:none}}@keyframes chat-overlay-in{0%{opacity:0}to{opacity:1}}@keyframes chat-panel-in{0%{opacity:0;transform:translateY(1rem) scale(.97)}to{opacity:1;transform:none}}@keyframes chat-welcome-in{0%{opacity:0;transform:translate(-50%,-44%) scale(.97)}to{opacity:1;transform:translate(-50%,-50%) scale(1)}}@keyframes chat-mascot-float{0%,to{transform:translateY(0) rotate(-.5deg)}50%{transform:translateY(-10px) rotate(.7deg)}}@keyframes chat-confetti-drift{0%,to{transform:translateY(0) rotate(0)}50%{transform:translateY(-8px) rotate(18deg)}}body.chat-app.no-animations *,body.chat-app.no-animations *:before,body.chat-app.no-animations *:after{animation:none!important;transition:none!important}@media(prefers-reduced-motion:reduce){body.chat-app .top-menu,body.chat-app .input-wrapper,body.chat-app .message,body.chat-app .connexion-panel,body.chat-app .connexion-content,body.chat-app .chat-welcome,body.chat-app .chat-welcome-mascot,body.chat-app .chat-welcome:before,body.chat-app .chat-welcome:after,body.chat-app .settings-tab-panel,body.chat-app .error-message,body.chat-app .connexion-content form>*{animation:none!important}}@media(max-width:860px){body.chat-app .menu-cluster.primary{display:none}body.chat-app .top-menu .menu-cluster.account>button:not(#mobileMenuToggle){display:none}body.chat-app #mobileMenuToggle{display:flex;margin-left:auto}body.chat-app.level-selection-open .top-menu{z-index:10060}body.chat-app.level-selection-open #mobileMenuPanel.open{z-index:10070}body.chat-app #graphicSettingsFixedBtn{display:none}body.chat-app #mobileMenuOverlay{display:flex}body.chat-app .messages{padding:4.75rem .9rem 7.25rem}body.chat-app .message{max-width:92%}body.chat-app .chat-welcome{top:44%;grid-template-columns:92px minmax(0,1fr);gap:.85rem}body.chat-app .chat-welcome-mascot{max-height:145px}body.chat-app .chat-welcome-copy>p:last-child{font-size:.95rem}body.chat-app .chat-suggestions{grid-template-columns:1fr;gap:.45rem}body.chat-app .chat-suggestions button{min-height:2.55rem}body.chat-app .input-wrapper.large{bottom:.65rem;width:calc(100% - 1rem);padding:.55rem}body.chat-app .input-wrapper.small{top:82%;width:calc(100% - 1.5rem)}body.chat-app .send-btn{padding:0 .85rem}}html{background:#fbfafc}body.chat-app{--chat-canvas: #fbfafc;--chat-surface: #ffffff;--chat-soft: #f3eff8;--chat-lavender: #e9def7;--chat-text-soft: #687487;background:radial-gradient(circle at 8% 92%,rgba(196,168,239,.22),transparent 26rem),linear-gradient(180deg,#ffffff 0%,var(--chat-canvas) 60%,#f7f3fa 100%);color:var(--ink)}body.chat-app .top-menu,body.chat-app .top-menu.shrink{padding:.65rem clamp(.9rem,3vw,1.6rem);border-bottom:1px solid rgba(11,28,51,.1);background:#ffffffe6;color:var(--ink);box-shadow:0 10px 35px #34224a0f}body.chat-app .top-menu .logo,body.chat-app .top-menu .brand-link{color:var(--ink)}body.chat-app .top-menu .brand-link:hover{color:var(--shell-deep)}body.chat-app .top-menu button,body.chat-app .top-menu button.icon-button-top{min-height:2.5rem;border:1px solid rgba(11,28,51,.14);border-radius:999px;background:#fff;color:var(--ink)}body.chat-app .top-menu button:hover,body.chat-app .top-menu button.icon-button-top:hover{border-color:var(--lavender);background:var(--chat-soft);color:var(--shell-deep);transform:translateY(-2px)}body.chat-app .top-menu button.accent{border-color:var(--ink);background:var(--ink);color:#fff;box-shadow:none}body.chat-app .top-menu button.accent:hover{border-color:var(--shell-deep);background:var(--shell-deep);color:#fff}body.chat-app .top-menu .account-hub-btn{border-color:#5c2d8a3d;background:var(--chat-soft);color:var(--shell-deep)}body.chat-app .messages{width:min(960px,100%);margin:0 auto;padding:6.25rem clamp(1rem,4vw,2rem) 8.5rem;gap:.9rem;scrollbar-color:rgba(92,45,138,.22) transparent}body.chat-app .messages::-webkit-scrollbar-thumb{background:#5c2d8a38}body.chat-app .message,body.chat-app .message.pop-in-animated{max-width:min(78%,44rem);padding:.95rem 1.15rem;border:1px solid rgba(11,28,51,.08);border-radius:24px;font-size:1.04rem;line-height:1.58;box-shadow:0 12px 34px #34224a14;transition:border-radius .35s var(--ease-out),box-shadow .35s var(--ease-out),transform .35s var(--ease-out),background-color .35s ease;will-change:transform,opacity}body.chat-app .message.user{border:0;border-bottom-right-radius:7px;background:linear-gradient(135deg,#69409a 0%,var(--shell-deep) 100%);color:#fff;box-shadow:0 14px 32px #5c2d8a33;animation:chat-user-flow .58s var(--ease-out) both}body.chat-app .chat-photo-preview{display:block;max-width:min(250px,100%);max-height:250px;margin-top:.75rem;border-radius:12px;object-fit:cover;box-shadow:0 8px 20px #130c202e}body.chat-app .chat-photo-chip{display:flex;align-items:flex-start;gap:.65rem;margin-top:.75rem;padding:.7rem .8rem;border-radius:14px;background:#ffffff24;border:1px solid rgba(255,255,255,.22)}body.chat-app .chat-photo-chip-icon{font-size:1.25rem;line-height:1.2}body.chat-app .chat-photo-chip-copy{display:flex;flex-direction:column;gap:.15rem;min-width:0}body.chat-app .chat-photo-chip-copy strong{font-size:.88rem;font-weight:800}body.chat-app .chat-photo-chip-copy small{font-size:.75rem;line-height:1.35;opacity:.86}body.chat-app .chat-photo-chip-name{font-size:.7rem;opacity:.7;overflow:hidden;text-overflow:ellipsis;white-space:nowrap}body.chat-app .message.bot{border-bottom-left-radius:7px;background:var(--chat-surface);color:var(--ink);box-shadow:0 14px 38px #34224a14,inset 4px 0 0 var(--lavender);animation:chat-bot-flow .68s var(--ease-out) both}body.chat-app .message.user:after,body.chat-app .message.bot:after{content:"";position:absolute;bottom:-5px;width:11px;height:11px;border-radius:50%}body.chat-app .message.user:after{right:-3px;background:var(--shell-deep)}body.chat-app .message.bot:after{left:-3px;background:var(--lavender)}body.chat-app .message.user+.message.user,body.chat-app .message.bot+.message.bot{margin-top:-.42rem}body.chat-app .message.bot.loading{border-color:#8b4db81f;background:linear-gradient(100deg,#fff 20%,#f5effb,#fff 76%);background-size:220% 100%;color:var(--shell-deep);box-shadow:0 10px 30px #5c2d8a1a;animation:chat-thinking-in .5s var(--ease-out) both,chat-thinking-wave 1.8s ease-in-out .5s infinite}body.chat-app .message.streaming{box-shadow:0 16px 42px #34224a1a,inset 4px 0 0 var(--shell)}body.chat-app .system{border:1px solid rgba(92,45,138,.12);border-radius:999px;background:#f4f0f8;color:#5d6878;box-shadow:none;font-family:var(--font-body);font-size:.9rem}body.chat-app .system.initial-welcome-message{display:none}body.chat-app .terms-banner{border:1px solid rgba(92,45,138,.16);border-radius:20px;background:#fff;color:var(--ink);box-shadow:0 14px 36px #34224a14}body.chat-app .chat-welcome{top:43%;width:min(720px,calc(100% - 2rem));grid-template-columns:112px minmax(0,1fr);gap:1rem 1.25rem;color:var(--ink)}body.chat-app .chat-welcome:before,body.chat-app .chat-welcome:after{display:none}body.chat-app .chat-welcome-mascot{max-height:165px;filter:drop-shadow(0 14px 22px rgba(92,45,138,.15))}body.chat-app .chat-welcome-kicker{color:var(--shell-deep);font-size:.82rem}body.chat-app .chat-welcome h1{color:var(--ink);font-size:clamp(1.8rem,4vw,2.65rem)}body.chat-app .chat-welcome-copy>p:last-child{color:var(--chat-text-soft)}body.chat-app .chat-suggestions{grid-template-columns:repeat(2,minmax(0,1fr));gap:.65rem}body.chat-app .chat-suggestions button{border:1px solid rgba(92,45,138,.16);border-radius:999px;background:#fff;color:var(--ink);box-shadow:0 8px 24px #34224a0f;-webkit-backdrop-filter:none;backdrop-filter:none;animation:chat-chip-in .55s var(--ease-out) both}body.chat-app .chat-suggestions button:nth-child(2){animation-delay:.08s}body.chat-app .chat-suggestions button:hover{border-color:var(--shell);background:var(--chat-soft);color:var(--shell-deep);box-shadow:0 11px 28px #5c2d8a1f}body.chat-app .input-wrapper{border:1px solid rgba(11,28,51,.12);border-radius:24px;background:#fffffff5;box-shadow:0 18px 55px #34224a24,0 0 0 6px #ffffffb8;-webkit-backdrop-filter:blur(18px);backdrop-filter:blur(18px);gap:.5rem;transition:top .65s var(--ease-out),bottom .65s var(--ease-out),width .65s var(--ease-out),transform .65s var(--ease-out),box-shadow .3s ease}body.chat-app .composer-quota{position:absolute;top:-2.15rem;right:.55rem;display:inline-flex;align-items:center;gap:.45rem;padding:.35rem .6rem;border:1px solid rgba(92,45,138,.12);border-radius:999px;background:#fffffff0;color:var(--chat-text-soft);font-family:var(--font-display);font-size:.73rem;font-weight:700;box-shadow:0 8px 22px #34224a14;-webkit-backdrop-filter:blur(10px);backdrop-filter:blur(10px);animation:quota-pill-in .55s var(--ease-out) .2s both}body.chat-app #composerQuotaPlan{color:var(--shell-deep);font-size:.68rem;font-weight:800;letter-spacing:.05em}body.chat-app #composerQuotaRemaining{color:var(--ink)}body.chat-app .composer-quota.is-low{border-color:#b8375240;background:#fff2f5}body.chat-app .composer-quota.is-low #composerQuotaRemaining{color:#a52d47}body.chat-app .input-wrapper.small{top:76%;width:min(520px,calc(100% - 2rem));padding:.55rem}body.chat-app .input-wrapper.large{bottom:1.25rem;width:min(780px,calc(100% - 2rem));padding:.55rem}body.chat-app #userInput{border:0;border-radius:18px;background:transparent;padding:.8rem .65rem;color:var(--ink)}body.chat-app #userInput:focus{border-color:transparent;box-shadow:none}body.chat-app #userInput::placeholder{color:#8792a2}body.chat-app .image-upload-btn,body.chat-app .send-btn{border-radius:17px;min-height:2.85rem}body.chat-app .image-upload-btn{border-color:#0b1c331f;background:var(--chat-soft);box-shadow:none}body.chat-app .image-upload-btn:hover{background:var(--chat-lavender)}body.chat-app .send-btn{border-color:var(--ink);background:var(--ink);color:#fff;box-shadow:none}body.chat-app .send-btn:hover{background:var(--shell-deep);color:#fff;box-shadow:0 8px 18px #5c2d8a33}body.chat-app .connexion-panel:not(.hidden){background:#081422b8;backdrop-filter:blur(10px);-webkit-backdrop-filter:blur(10px)}body.chat-app .connexion-panel:not(.hidden) .connexion-content{border:1px solid rgba(11,28,51,.14);border-radius:24px;background:#fff;box-shadow:0 28px 80px #34224a38}body.chat-app .settings-hub{width:min(680px,calc(100% - 2rem));max-width:680px;max-height:88dvh;padding:clamp(1.4rem,3vw,2.25rem);overflow-y:auto}body.chat-app .settings-hub-head{max-width:38rem;margin-bottom:1rem}body.chat-app .settings-hub-head h2{margin:.1rem 0 .3rem;font-size:clamp(1.7rem,4vw,2.35rem)}body.chat-app .settings-hub-head>p:last-child{margin:0;color:var(--chat-text-soft)}body.chat-app .settings-eyebrow{margin:0;color:var(--shell-deep);font-family:var(--font-display);font-size:.75rem;font-weight:800;letter-spacing:.08em;text-transform:uppercase}body.chat-app .settings-tabs{display:grid;grid-template-columns:repeat(2,minmax(0,1fr));gap:.35rem;padding:.3rem;border-radius:999px;background:#f2eef6}body.chat-app .settings-tabs button{min-height:2.65rem;padding:.55rem .8rem;border:0;border-radius:999px;background:transparent;color:var(--chat-text-soft);font-family:var(--font-display);font-weight:800;cursor:pointer;transition:color .25s ease,background .25s ease,box-shadow .3s var(--ease-out),transform .3s var(--ease-out)}body.chat-app .settings-tabs button:hover{color:var(--shell-deep)}body.chat-app .settings-tabs button[aria-selected=true]{background:#fff;color:var(--ink);box-shadow:0 6px 18px #34224a17}body.chat-app .settings-tabs button:focus-visible{outline:3px solid rgba(139,77,184,.25);outline-offset:2px}body.chat-app .settings-tab-panel[hidden]{display:none}body.chat-app .settings-tab-panel.is-active{animation:settings-tab-in .45s var(--ease-out) both}body.chat-app .settings-card{position:relative;margin-top:.85rem;padding:1.15rem;border:1px solid rgba(11,28,51,.09);border-radius:18px;background:#fbfafc}body.chat-app .settings-tab-panel>.settings-card:first-child{margin-top:.85rem}body.chat-app .settings-card h3{margin:0 0 .35rem;padding-right:2rem;font-size:1.05rem}body.chat-app .settings-card>p{margin:.2rem 0 .8rem;color:var(--chat-text-soft)}body.chat-app .settings-card-number{display:none}body.chat-app .level-control{display:grid;gap:.55rem;margin-top:1rem}body.chat-app .level-control input[type=range]{width:100%;accent-color:var(--shell)}body.chat-app .settings-toggle{display:flex;align-items:center;justify-content:space-between;gap:1rem;margin-top:1rem;padding-top:1rem;border-top:1px solid rgba(11,28,51,.08)}body.chat-app .settings-toggle span{display:grid}body.chat-app .settings-toggle small{color:var(--chat-text-soft)}body.chat-app .settings-toggle input{flex:0 0 auto;width:1.2rem;height:1.2rem;accent-color:var(--shell-deep)}body.chat-app .usage-plan{display:flex;align-items:center;justify-content:space-between;gap:1rem;margin-top:1rem;padding:.8rem;border-radius:14px;background:var(--chat-lavender)}body.chat-app .usage-card{display:grid;grid-template-columns:minmax(0,1fr) minmax(0,1fr);align-items:center;gap:.85rem}body.chat-app .usage-card .usage-plan,body.chat-app .usage-card .usage-remaining{margin:0}body.chat-app .usage-card .usage-remaining{text-align:center}body.chat-app .usage-plan strong{color:var(--shell-deep);font-family:var(--font-display)}body.chat-app .usage-remaining{display:grid;gap:.15rem}body.chat-app .usage-remaining strong{color:var(--ink);font-family:var(--font-display);font-size:1.5rem}body.chat-app .pro-upsell,body.chat-app .pro-manage{grid-column:1 / -1;margin:.35rem 0 0;padding:.85rem 1rem;border-radius:14px;background:color-mix(in srgb,var(--shell-deep) 6%,white);border:1px solid color-mix(in srgb,var(--shell-deep) 12%,transparent)}body.chat-app .pro-upsell ul{margin:.4rem 0 .75rem;padding-left:1.1rem}body.chat-app .pro-upsell li{margin:.2rem 0;font-size:.92rem}body.chat-app .usage-plan{display:flex;flex-wrap:wrap;align-items:center;gap:.45rem .65rem}body.chat-app .pro-badge{display:inline-flex;align-items:center;padding:.15rem .55rem;border-radius:999px;background:var(--shell-deep, #0b1c33);color:#fff;font-size:.72rem;font-weight:800;letter-spacing:.06em}body.chat-app .pro-support-hint{margin:.75rem 0 0;font-size:.85rem;color:#5a6b80;line-height:1.4}body.chat-app .pro-support-hint a{color:var(--shell-deep, #0b1c33);font-weight:600}body.chat-app .settings-account,body.chat-app .settings-class{margin-top:.85rem}body.chat-app .settings-actions{display:grid;grid-template-columns:repeat(2,minmax(0,1fr));gap:.6rem;margin-top:.85rem}body.chat-app .settings-actions button{width:100%;margin:0}body.chat-app .settings-login-note{margin-top:.85rem;padding:1rem;border-radius:18px;background:var(--chat-soft);text-align:center}body.chat-app .error-message{min-height:0;margin-top:0;color:#8f243c}body.chat-app .error-message:not(:empty){display:flex;align-items:flex-start;gap:.55rem;margin-top:.8rem;padding:.7rem .8rem;border:1px solid rgba(184,55,82,.18);border-radius:13px;background:#fff2f5;color:#7d2035;font-size:.92rem;line-height:1.35;animation:auth-error-in .42s var(--ease-out) both}body.chat-app .error-message:not(:empty):before{content:"!";flex:0 0 auto;display:grid;place-items:center;width:1.25rem;height:1.25rem;border-radius:50%;background:#b83752;color:#fff;font-family:var(--font-display);font-size:.75rem;font-weight:800}body.chat-app .connexion-content form>input,body.chat-app .connexion-content form>textarea,body.chat-app .connexion-content form>button,body.chat-app .connexion-content form>.switch-form-link,body.chat-app .connexion-content form>.input-row{animation:auth-field-in .48s var(--ease-out) both}body.chat-app .connexion-content form>:nth-child(2){animation-delay:.04s}body.chat-app .connexion-content form>:nth-child(3){animation-delay:.08s}body.chat-app .connexion-content form>:nth-child(4){animation-delay:.12s}body.chat-app .connexion-content form>:nth-child(n+5){animation-delay:.16s}body.chat-app .settings-login-note p{margin:0 0 .75rem;color:var(--chat-text-soft)}body.chat-app .teacher-space-btn{background:var(--shell-deep)!important;border-color:var(--shell-deep)!important}body.chat-app .mobile-menu-content{border:1px solid rgba(11,28,51,.1);border-radius:22px;background:#fff;box-shadow:0 24px 65px #34224a2e}body.chat-app .mobile-menu-content button{border:1px solid rgba(11,28,51,.11);border-radius:999px;background:#fff}@keyframes chat-user-flow{0%{opacity:0;transform:translate3d(28px,16px,0) scale(.94);filter:blur(5px)}to{opacity:1;transform:none;filter:blur(0)}}@keyframes chat-bot-flow{0%{opacity:0;transform:translate3d(-24px,18px,0) scale(.96);filter:blur(5px)}65%{transform:translate3d(4px,-2px,0) scale(1.005)}to{opacity:1;transform:none;filter:blur(0)}}@keyframes chat-thinking-in{0%{opacity:0;transform:translate3d(-18px,12px,0) scale(.95)}to{opacity:1;transform:none}}@keyframes chat-thinking-wave{0%,to{background-position:100% 0;transform:translateY(0)}50%{background-position:0 0;transform:translateY(-3px)}}@keyframes chat-chip-in{0%{opacity:0;transform:translateY(12px) scale(.96)}to{opacity:1;transform:none}}@keyframes settings-tab-in{0%{opacity:0;transform:translateY(10px) scale(.985);filter:blur(3px)}to{opacity:1;transform:none;filter:blur(0)}}@keyframes auth-error-in{0%{opacity:0;transform:translateY(-7px) scale(.98)}70%{transform:translateY(2px) scale(1.005)}to{opacity:1;transform:none}}@keyframes auth-field-in{0%{opacity:0;transform:translateY(9px)}to{opacity:1;transform:none}}@keyframes quota-pill-in{0%{opacity:0;transform:translateY(8px) scale(.94)}to{opacity:1;transform:none}}@media(max-width:860px){body.chat-app .top-menu,body.chat-app .top-menu.shrink{padding:.55rem .75rem}body.chat-app .messages{width:100%;padding:4.8rem .75rem 7.2rem}body.chat-app .message,body.chat-app .message.pop-in-animated{max-width:90%;border-radius:20px}body.chat-app .message.user{border-bottom-right-radius:6px}body.chat-app .message.bot{border-bottom-left-radius:6px}body.chat-app .chat-welcome{top:43%;grid-template-columns:78px minmax(0,1fr);gap:.75rem}body.chat-app .chat-welcome-mascot{max-height:120px}body.chat-app .chat-welcome h1{font-size:clamp(1.45rem,7.5vw,2rem)}body.chat-app .chat-suggestions{grid-template-columns:1fr}body.chat-app .input-wrapper.small{top:81%;width:calc(100% - 1rem)}body.chat-app .input-wrapper.large{bottom:max(.65rem,env(safe-area-inset-bottom));width:calc(100% - 1rem)}body.chat-app .composer-quota{top:-1.95rem;right:.35rem;padding:.3rem .5rem;font-size:.68rem}body.chat-app .settings-hub{width:calc(100% - 1rem);max-height:92dvh;padding:1.25rem}body.chat-app .settings-actions,body.chat-app .usage-card{grid-template-columns:1fr}}body.chat-app .terms-consent-bar{position:fixed;top:50%;bottom:auto;left:50%;z-index:10040;width:min(34rem,calc(100% - 1.5rem));max-height:min(85dvh,34rem);overflow-y:auto;transform:translate(-50%,-50%);padding:.85rem 1rem .95rem;border:1px solid rgba(92,45,138,.16);border-radius:18px;background:#fffffffa;box-shadow:0 22px 60px #34224a33;color:var(--ink)}body.chat-app.has-terms-consent:after{content:"";position:fixed;top:0;right:0;bottom:0;left:0;z-index:15;background:#130c2052;-webkit-backdrop-filter:blur(2px);backdrop-filter:blur(2px)}body.chat-app .terms-consent-bar p{margin:0 0 .7rem;font-size:.92rem;line-height:1.45}body.chat-app .terms-consent-bar a{color:var(--shell-deep);font-weight:700}body.chat-app .terms-consent-bar .checkbox-label{display:flex;gap:.55rem;align-items:flex-start;margin:.35rem 0;font-size:.9rem}body.chat-app .checkbox-label input[type=checkbox],body.chat-app .checkbox-label input[type=radio]{flex:0 0 auto;width:auto;min-width:0;padding:0;accent-color:var(--shell-deep)}body.chat-app .terms-age-row{display:grid;gap:.15rem;margin:.35rem 0 .75rem}body.chat-app .terms-consent-bar button.primary{width:100%;padding:.65rem .9rem;border:2px solid var(--ink);border-radius:8px;background:var(--plastron);color:var(--ink);font-family:var(--font-display);font-weight:800;cursor:pointer}body.chat-app .terms-consent-bar button.primary:disabled{opacity:.45;cursor:not-allowed}@media(max-width:720px){body.chat-app .terms-consent-bar{padding:.8rem .85rem .9rem}}@font-face{font-display:block;font-family:KaTeX_AMS;font-style:normal;font-weight:400;src:url(/assets/KaTeX_AMS-Regular-BQhdFMY1.woff2) format("woff2"),url(/assets/KaTeX_AMS-Regular-DMm9YOAa.woff) format("woff"),url(/assets/KaTeX_AMS-Regular-DRggAlZN.ttf) format("truetype")}@font-face{font-display:block;font-family:KaTeX_Caligraphic;font-style:normal;font-weight:700;src:url(/assets/KaTeX_Caligraphic-Bold-Dq_IR9rO.woff2) format("woff2"),url(/assets/KaTeX_Caligraphic-Bold-BEiXGLvX.woff) format("woff"),url(/assets/KaTeX_Caligraphic-Bold-ATXxdsX0.ttf) format("truetype")}@font-face{font-display:block;font-family:KaTeX_Caligraphic;font-style:normal;font-weight:400;src:url(/assets/KaTeX_Caligraphic-Regular-Di6jR-x-.woff2) format("woff2"),url(/assets/KaTeX_Caligraphic-Regular-CTRA-rTL.woff) format("woff"),url(/assets/KaTeX_Caligraphic-Regular-wX97UBjC.ttf) format("truetype")}@font-face{font-display:block;font-family:KaTeX_Fraktur;font-style:normal;font-weight:700;src:url(/assets/KaTeX_Fraktur-Bold-CL6g_b3V.woff2) format("woff2"),url(/assets/KaTeX_Fraktur-Bold-BsDP51OF.woff) format("woff"),url(/assets/KaTeX_Fraktur-Bold-BdnERNNW.ttf) format("truetype")}@font-face{font-display:block;font-family:KaTeX_Fraktur;font-style:normal;font-weight:400;src:url(/assets/KaTeX_Fraktur-Regular-CTYiF6lA.woff2) format("woff2"),url(/assets/KaTeX_Fraktur-Regular-Dxdc4cR9.woff) format("woff"),url(/assets/KaTeX_Fraktur-Regular-CB_wures.ttf) format("truetype")}@font-face{font-display:block;font-family:KaTeX_Main;font-style:normal;font-weight:700;src:url(/assets/KaTeX_Main-Bold-Cx986IdX.woff2) format("woff2"),url(/assets/KaTeX_Main-Bold-Jm3AIy58.woff) format("woff"),url(/assets/KaTeX_Main-Bold-waoOVXN0.ttf) format("truetype")}@font-face{font-display:block;font-family:KaTeX_Main;font-style:italic;font-weight:700;src:url(/assets/KaTeX_Main-BoldItalic-DxDJ3AOS.woff2) format("woff2"),url(/assets/KaTeX_Main-BoldItalic-SpSLRI95.woff) format("woff"),url(/assets/KaTeX_Main-BoldItalic-DzxPMmG6.ttf) format("truetype")}@font-face{font-display:block;font-family:KaTeX_Main;font-style:italic;font-weight:400;src:url(/assets/KaTeX_Main-Italic-NWA7e6Wa.woff2) format("woff2"),url(/assets/KaTeX_Main-Italic-BMLOBm91.woff) format("woff"),url(/assets/KaTeX_Main-Italic-3WenGoN9.ttf) format("truetype")}@font-face{font-display:block;font-family:KaTeX_Main;font-style:normal;font-weight:400;src:url(/assets/KaTeX_Main-Regular-B22Nviop.woff2) format("woff2"),url(/assets/KaTeX_Main-Regular-Dr94JaBh.woff) format("woff"),url(/assets/KaTeX_Main-Regular-ypZvNtVU.ttf) format("truetype")}@font-face{font-display:block;font-family:KaTeX_Math;font-style:italic;font-weight:700;src:url(/assets/KaTeX_Math-BoldItalic-CZnvNsCZ.woff2) format("woff2"),url(/assets/KaTeX_Math-BoldItalic-iY-2wyZ7.woff) format("woff"),url(/assets/KaTeX_Math-BoldItalic-B3XSjfu4.ttf) format("truetype")}@font-face{font-display:block;font-family:KaTeX_Math;font-style:italic;font-weight:400;src:url(/assets/KaTeX_Math-Italic-t53AETM-.woff2) format("woff2"),url(/assets/KaTeX_Math-Italic-DA0__PXp.woff) format("woff"),url(/assets/KaTeX_Math-Italic-flOr_0UB.ttf) format("truetype")}@font-face{font-display:block;font-family:KaTeX_SansSerif;font-style:normal;font-weight:700;src:url(/assets/KaTeX_SansSerif-Bold-D1sUS0GD.woff2) format("woff2"),url(/assets/KaTeX_SansSerif-Bold-DbIhKOiC.woff) format("woff"),url(/assets/KaTeX_SansSerif-Bold-CFMepnvq.ttf) format("truetype")}@font-face{font-display:block;font-family:KaTeX_SansSerif;font-style:italic;font-weight:400;src:url(/assets/KaTeX_SansSerif-Italic-C3H0VqGB.woff2) format("woff2"),url(/assets/KaTeX_SansSerif-Italic-DN2j7dab.woff) format("woff"),url(/assets/KaTeX_SansSerif-Italic-YYjJ1zSn.ttf) format("truetype")}@font-face{font-display:block;font-family:KaTeX_SansSerif;font-style:normal;font-weight:400;src:url(/assets/KaTeX_SansSerif-Regular-DDBCnlJ7.woff2) format("woff2"),url(/assets/KaTeX_SansSerif-Regular-CS6fqUqJ.woff) format("woff"),url(/assets/KaTeX_SansSerif-Regular-BNo7hRIc.ttf) format("truetype")}@font-face{font-display:block;font-family:KaTeX_Script;font-style:normal;font-weight:400;src:url(/assets/KaTeX_Script-Regular-D3wIWfF6.woff2) format("woff2"),url(/assets/KaTeX_Script-Regular-D5yQViql.woff) format("woff"),url(/assets/KaTeX_Script-Regular-C5JkGWo-.ttf) format("truetype")}@font-face{font-display:block;font-family:KaTeX_Size1;font-style:normal;font-weight:400;src:url(/assets/KaTeX_Size1-Regular-mCD8mA8B.woff2) format("woff2"),url(/assets/KaTeX_Size1-Regular-C195tn64.woff) format("woff"),url(/assets/KaTeX_Size1-Regular-Dbsnue_I.ttf) format("truetype")}@font-face{font-display:block;font-family:KaTeX_Size2;font-style:normal;font-weight:400;src:url(/assets/KaTeX_Size2-Regular-Dy4dx90m.woff2) format("woff2"),url(/assets/KaTeX_Size2-Regular-oD1tc_U0.woff) format("woff"),url(/assets/KaTeX_Size2-Regular-B7gKUWhC.ttf) format("truetype")}@font-face{font-display:block;font-family:KaTeX_Size3;font-style:normal;font-weight:400;src:url(data:font/woff2;base64,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) format("woff2"),url(/assets/KaTeX_Size3-Regular-CTq5MqoE.woff) format("woff"),url(/assets/KaTeX_Size3-Regular-DgpXs0kz.ttf) format("truetype")}@font-face{font-display:block;font-family:KaTeX_Size4;font-style:normal;font-weight:400;src:url(/assets/KaTeX_Size4-Regular-Dl5lxZxV.woff2) format("woff2"),url(/assets/KaTeX_Size4-Regular-BF-4gkZK.woff) format("woff"),url(/assets/KaTeX_Size4-Regular-DWFBv043.ttf) format("truetype")}@font-face{font-display:block;font-family:KaTeX_Typewriter;font-style:normal;font-weight:400;src:url(/assets/KaTeX_Typewriter-Regular-CO6r4hn1.woff2) format("woff2"),url(/assets/KaTeX_Typewriter-Regular-C0xS9mPB.woff) format("woff"),url(/assets/KaTeX_Typewriter-Regular-D3Ib7_Hf.ttf) format("truetype")}.katex{font: 1.21em KaTeX_Main,Times New Roman,serif;line-height:1.2;position:relative;text-indent:0;text-rendering:auto}.katex *{-ms-high-contrast-adjust:none!important;border-color:currentColor}.katex .katex-version:after{content:"0.16.47"}.katex .katex-mathml{border:0;-webkit-clip-path:inset(50%);clip-path:inset(50%);height:1px;overflow:hidden;padding:0;position:absolute;width:1px}.katex .katex-html>.newline{display:block}.katex .base{position:relative;white-space:nowrap;width:-webkit-min-content;width:-moz-min-content;width:min-content}.katex .base,.katex .strut{display:inline-block}.katex .textbf{font-weight:700}.katex .textit{font-style:italic}.katex .textrm{font-family:KaTeX_Main}.katex .textsf{font-family:KaTeX_SansSerif}.katex .texttt{font-family:KaTeX_Typewriter}.katex .mathnormal{font-family:KaTeX_Math;font-style:italic}.katex .mathit{font-family:KaTeX_Main;font-style:italic}.katex .mathrm{font-style:normal}.katex .mathbf{font-family:KaTeX_Main;font-weight:700}.katex .boldsymbol{font-family:KaTeX_Math;font-style:italic;font-weight:700}.katex .amsrm,.katex .mathbb,.katex .textbb{font-family:KaTeX_AMS}.katex .mathcal{font-family:KaTeX_Caligraphic}.katex .mathfrak,.katex .textfrak{font-family:KaTeX_Fraktur}.katex .mathboldfrak,.katex .textboldfrak{font-family:KaTeX_Fraktur;font-weight:700}.katex .mathtt{font-family:KaTeX_Typewriter}.katex .mathscr,.katex .textscr{font-family:KaTeX_Script}.katex .mathsf,.katex .textsf{font-family:KaTeX_SansSerif}.katex .mathboldsf,.katex .textboldsf{font-family:KaTeX_SansSerif;font-weight:700}.katex .mathitsf,.katex .mathsfit,.katex .textitsf{font-family:KaTeX_SansSerif;font-style:italic}.katex .mainrm{font-family:KaTeX_Main;font-style:normal}.katex .vlist-t{border-collapse:collapse;display:inline-table;table-layout:fixed}.katex .vlist-r{display:table-row}.katex .vlist{display:table-cell;position:relative;vertical-align:bottom}.katex .vlist>span{display:block;height:0;position:relative}.katex .vlist>span>span{display:inline-block}.katex .vlist>span>.pstrut{overflow:hidden;width:0}.katex .vlist-t2{margin-right:-2px}.katex .vlist-s{display:table-cell;font-size:1px;min-width:2px;vertical-align:bottom;width:2px}.katex .vbox{align-items:baseline;display:inline-flex;flex-direction:column}.katex .hbox{width:100%}.katex .hbox,.katex .thinbox{display:inline-flex;flex-direction:row}.katex .thinbox{max-width:0;width:0}.katex .msupsub{text-align:left}.katex .mfrac>span>span{text-align:center}.katex .mfrac .frac-line{border-bottom-style:solid;display:inline-block;width:100%}.katex .hdashline,.katex .hline,.katex .mfrac .frac-line,.katex .overline .overline-line,.katex .rule,.katex .underline .underline-line{min-height:1px}.katex .mspace{display:inline-block}.katex .smash{display:inline;line-height:0}.katex .clap,.katex .llap,.katex .rlap{position:relative;width:0}.katex .clap>.inner,.katex .llap>.inner,.katex .rlap>.inner{position:absolute}.katex .clap>.fix,.katex .llap>.fix,.katex .rlap>.fix{display:inline-block}.katex .llap>.inner{right:0}.katex .clap>.inner,.katex .rlap>.inner{left:0}.katex .clap>.inner>span{margin-left:-50%;margin-right:50%}.katex .rule{border:0 solid;display:inline-block;position:relative}.katex .hline,.katex .overline .overline-line,.katex .underline .underline-line{border-bottom-style:solid;display:inline-block;width:100%}.katex .hdashline{border-bottom-style:dashed;display:inline-block;width:100%}.katex .sqrt>.root{margin-left:.2777777778em;margin-right:-.5555555556em}.katex .fontsize-ensurer.reset-size1.size1,.katex .sizing.reset-size1.size1{font-size:1em}.katex .fontsize-ensurer.reset-size1.size2,.katex .sizing.reset-size1.size2{font-size:1.2em}.katex .fontsize-ensurer.reset-size1.size3,.katex .sizing.reset-size1.size3{font-size:1.4em}.katex .fontsize-ensurer.reset-size1.size4,.katex .sizing.reset-size1.size4{font-size:1.6em}.katex .fontsize-ensurer.reset-size1.size5,.katex .sizing.reset-size1.size5{font-size:1.8em}.katex .fontsize-ensurer.reset-size1.size6,.katex .sizing.reset-size1.size6{font-size:2em}.katex .fontsize-ensurer.reset-size1.size7,.katex .sizing.reset-size1.size7{font-size:2.4em}.katex .fontsize-ensurer.reset-size1.size8,.katex .sizing.reset-size1.size8{font-size:2.88em}.katex .fontsize-ensurer.reset-size1.size9,.katex .sizing.reset-size1.size9{font-size:3.456em}.katex .fontsize-ensurer.reset-size1.size10,.katex .sizing.reset-size1.size10{font-size:4.148em}.katex .fontsize-ensurer.reset-size1.size11,.katex .sizing.reset-size1.size11{font-size:4.976em}.katex .fontsize-ensurer.reset-size2.size1,.katex .sizing.reset-size2.size1{font-size:.8333333333em}.katex .fontsize-ensurer.reset-size2.size2,.katex .sizing.reset-size2.size2{font-size:1em}.katex .fontsize-ensurer.reset-size2.size3,.katex .sizing.reset-size2.size3{font-size:1.1666666667em}.katex .fontsize-ensurer.reset-size2.size4,.katex .sizing.reset-size2.size4{font-size:1.3333333333em}.katex .fontsize-ensurer.reset-size2.size5,.katex .sizing.reset-size2.size5{font-size:1.5em}.katex .fontsize-ensurer.reset-size2.size6,.katex .sizing.reset-size2.size6{font-size:1.6666666667em}.katex .fontsize-ensurer.reset-size2.size7,.katex .sizing.reset-size2.size7{font-size:2em}.katex .fontsize-ensurer.reset-size2.size8,.katex .sizing.reset-size2.size8{font-size:2.4em}.katex .fontsize-ensurer.reset-size2.size9,.katex .sizing.reset-size2.size9{font-size:2.88em}.katex .fontsize-ensurer.reset-size2.size10,.katex .sizing.reset-size2.size10{font-size:3.4566666667em}.katex .fontsize-ensurer.reset-size2.size11,.katex .sizing.reset-size2.size11{font-size:4.1466666667em}.katex .fontsize-ensurer.reset-size3.size1,.katex .sizing.reset-size3.size1{font-size:.7142857143em}.katex .fontsize-ensurer.reset-size3.size2,.katex .sizing.reset-size3.size2{font-size:.8571428571em}.katex .fontsize-ensurer.reset-size3.size3,.katex .sizing.reset-size3.size3{font-size:1em}.katex .fontsize-ensurer.reset-size3.size4,.katex .sizing.reset-size3.size4{font-size:1.1428571429em}.katex .fontsize-ensurer.reset-size3.size5,.katex .sizing.reset-size3.size5{font-size:1.2857142857em}.katex .fontsize-ensurer.reset-size3.size6,.katex .sizing.reset-size3.size6{font-size:1.4285714286em}.katex .fontsize-ensurer.reset-size3.size7,.katex .sizing.reset-size3.size7{font-size:1.7142857143em}.katex .fontsize-ensurer.reset-size3.size8,.katex .sizing.reset-size3.size8{font-size:2.0571428571em}.katex .fontsize-ensurer.reset-size3.size9,.katex .sizing.reset-size3.size9{font-size:2.4685714286em}.katex .fontsize-ensurer.reset-size3.size10,.katex .sizing.reset-size3.size10{font-size:2.9628571429em}.katex .fontsize-ensurer.reset-size3.size11,.katex .sizing.reset-size3.size11{font-size:3.5542857143em}.katex .fontsize-ensurer.reset-size4.size1,.katex .sizing.reset-size4.size1{font-size:.625em}.katex .fontsize-ensurer.reset-size4.size2,.katex .sizing.reset-size4.size2{font-size:.75em}.katex .fontsize-ensurer.reset-size4.size3,.katex .sizing.reset-size4.size3{font-size:.875em}.katex .fontsize-ensurer.reset-size4.size4,.katex .sizing.reset-size4.size4{font-size:1em}.katex .fontsize-ensurer.reset-size4.size5,.katex .sizing.reset-size4.size5{font-size:1.125em}.katex .fontsize-ensurer.reset-size4.size6,.katex .sizing.reset-size4.size6{font-size:1.25em}.katex .fontsize-ensurer.reset-size4.size7,.katex .sizing.reset-size4.size7{font-size:1.5em}.katex .fontsize-ensurer.reset-size4.size8,.katex .sizing.reset-size4.size8{font-size:1.8em}.katex .fontsize-ensurer.reset-size4.size9,.katex .sizing.reset-size4.size9{font-size:2.16em}.katex .fontsize-ensurer.reset-size4.size10,.katex .sizing.reset-size4.size10{font-size:2.5925em}.katex .fontsize-ensurer.reset-size4.size11,.katex .sizing.reset-size4.size11{font-size:3.11em}.katex .fontsize-ensurer.reset-size5.size1,.katex .sizing.reset-size5.size1{font-size:.5555555556em}.katex .fontsize-ensurer.reset-size5.size2,.katex .sizing.reset-size5.size2{font-size:.6666666667em}.katex .fontsize-ensurer.reset-size5.size3,.katex .sizing.reset-size5.size3{font-size:.7777777778em}.katex .fontsize-ensurer.reset-size5.size4,.katex .sizing.reset-size5.size4{font-size:.8888888889em}.katex .fontsize-ensurer.reset-size5.size5,.katex .sizing.reset-size5.size5{font-size:1em}.katex .fontsize-ensurer.reset-size5.size6,.katex .sizing.reset-size5.size6{font-size:1.1111111111em}.katex .fontsize-ensurer.reset-size5.size7,.katex .sizing.reset-size5.size7{font-size:1.3333333333em}.katex .fontsize-ensurer.reset-size5.size8,.katex .sizing.reset-size5.size8{font-size:1.6em}.katex .fontsize-ensurer.reset-size5.size9,.katex .sizing.reset-size5.size9{font-size:1.92em}.katex .fontsize-ensurer.reset-size5.size10,.katex .sizing.reset-size5.size10{font-size:2.3044444444em}.katex .fontsize-ensurer.reset-size5.size11,.katex .sizing.reset-size5.size11{font-size:2.7644444444em}.katex .fontsize-ensurer.reset-size6.size1,.katex .sizing.reset-size6.size1{font-size:.5em}.katex .fontsize-ensurer.reset-size6.size2,.katex .sizing.reset-size6.size2{font-size:.6em}.katex .fontsize-ensurer.reset-size6.size3,.katex .sizing.reset-size6.size3{font-size:.7em}.katex .fontsize-ensurer.reset-size6.size4,.katex .sizing.reset-size6.size4{font-size:.8em}.katex .fontsize-ensurer.reset-size6.size5,.katex .sizing.reset-size6.size5{font-size:.9em}.katex .fontsize-ensurer.reset-size6.size6,.katex .sizing.reset-size6.size6{font-size:1em}.katex .fontsize-ensurer.reset-size6.size7,.katex .sizing.reset-size6.size7{font-size:1.2em}.katex .fontsize-ensurer.reset-size6.size8,.katex .sizing.reset-size6.size8{font-size:1.44em}.katex .fontsize-ensurer.reset-size6.size9,.katex .sizing.reset-size6.size9{font-size:1.728em}.katex .fontsize-ensurer.reset-size6.size10,.katex .sizing.reset-size6.size10{font-size:2.074em}.katex .fontsize-ensurer.reset-size6.size11,.katex .sizing.reset-size6.size11{font-size:2.488em}.katex .fontsize-ensurer.reset-size7.size1,.katex .sizing.reset-size7.size1{font-size:.4166666667em}.katex .fontsize-ensurer.reset-size7.size2,.katex .sizing.reset-size7.size2{font-size:.5em}.katex .fontsize-ensurer.reset-size7.size3,.katex .sizing.reset-size7.size3{font-size:.5833333333em}.katex .fontsize-ensurer.reset-size7.size4,.katex .sizing.reset-size7.size4{font-size:.6666666667em}.katex .fontsize-ensurer.reset-size7.size5,.katex .sizing.reset-size7.size5{font-size:.75em}.katex .fontsize-ensurer.reset-size7.size6,.katex .sizing.reset-size7.size6{font-size:.8333333333em}.katex .fontsize-ensurer.reset-size7.size7,.katex .sizing.reset-size7.size7{font-size:1em}.katex .fontsize-ensurer.reset-size7.size8,.katex .sizing.reset-size7.size8{font-size:1.2em}.katex .fontsize-ensurer.reset-size7.size9,.katex .sizing.reset-size7.size9{font-size:1.44em}.katex .fontsize-ensurer.reset-size7.size10,.katex .sizing.reset-size7.size10{font-size:1.7283333333em}.katex .fontsize-ensurer.reset-size7.size11,.katex .sizing.reset-size7.size11{font-size:2.0733333333em}.katex .fontsize-ensurer.reset-size8.size1,.katex .sizing.reset-size8.size1{font-size:.3472222222em}.katex .fontsize-ensurer.reset-size8.size2,.katex .sizing.reset-size8.size2{font-size:.4166666667em}.katex .fontsize-ensurer.reset-size8.size3,.katex .sizing.reset-size8.size3{font-size:.4861111111em}.katex .fontsize-ensurer.reset-size8.size4,.katex .sizing.reset-size8.size4{font-size:.5555555556em}.katex .fontsize-ensurer.reset-size8.size5,.katex .sizing.reset-size8.size5{font-size:.625em}.katex .fontsize-ensurer.reset-size8.size6,.katex .sizing.reset-size8.size6{font-size:.6944444444em}.katex .fontsize-ensurer.reset-size8.size7,.katex .sizing.reset-size8.size7{font-size:.8333333333em}.katex .fontsize-ensurer.reset-size8.size8,.katex .sizing.reset-size8.size8{font-size:1em}.katex .fontsize-ensurer.reset-size8.size9,.katex .sizing.reset-size8.size9{font-size:1.2em}.katex .fontsize-ensurer.reset-size8.size10,.katex .sizing.reset-size8.size10{font-size:1.4402777778em}.katex .fontsize-ensurer.reset-size8.size11,.katex .sizing.reset-size8.size11{font-size:1.7277777778em}.katex .fontsize-ensurer.reset-size9.size1,.katex .sizing.reset-size9.size1{font-size:.2893518519em}.katex .fontsize-ensurer.reset-size9.size2,.katex .sizing.reset-size9.size2{font-size:.3472222222em}.katex .fontsize-ensurer.reset-size9.size3,.katex .sizing.reset-size9.size3{font-size:.4050925926em}.katex .fontsize-ensurer.reset-size9.size4,.katex .sizing.reset-size9.size4{font-size:.462962963em}.katex .fontsize-ensurer.reset-size9.size5,.katex .sizing.reset-size9.size5{font-size:.5208333333em}.katex .fontsize-ensurer.reset-size9.size6,.katex .sizing.reset-size9.size6{font-size:.5787037037em}.katex .fontsize-ensurer.reset-size9.size7,.katex .sizing.reset-size9.size7{font-size:.6944444444em}.katex .fontsize-ensurer.reset-size9.size8,.katex .sizing.reset-size9.size8{font-size:.8333333333em}.katex .fontsize-ensurer.reset-size9.size9,.katex .sizing.reset-size9.size9{font-size:1em}.katex .fontsize-ensurer.reset-size9.size10,.katex .sizing.reset-size9.size10{font-size:1.2002314815em}.katex .fontsize-ensurer.reset-size9.size11,.katex .sizing.reset-size9.size11{font-size:1.4398148148em}.katex .fontsize-ensurer.reset-size10.size1,.katex .sizing.reset-size10.size1{font-size:.2410800386em}.katex .fontsize-ensurer.reset-size10.size2,.katex .sizing.reset-size10.size2{font-size:.2892960463em}.katex .fontsize-ensurer.reset-size10.size3,.katex .sizing.reset-size10.size3{font-size:.337512054em}.katex .fontsize-ensurer.reset-size10.size4,.katex .sizing.reset-size10.size4{font-size:.3857280617em}.katex .fontsize-ensurer.reset-size10.size5,.katex .sizing.reset-size10.size5{font-size:.4339440694em}.katex .fontsize-ensurer.reset-size10.size6,.katex .sizing.reset-size10.size6{font-size:.4821600771em}.katex .fontsize-ensurer.reset-size10.size7,.katex .sizing.reset-size10.size7{font-size:.5785920926em}.katex .fontsize-ensurer.reset-size10.size8,.katex .sizing.reset-size10.size8{font-size:.6943105111em}.katex .fontsize-ensurer.reset-size10.size9,.katex .sizing.reset-size10.size9{font-size:.8331726133em}.katex .fontsize-ensurer.reset-size10.size10,.katex .sizing.reset-size10.size10{font-size:1em}.katex .fontsize-ensurer.reset-size10.size11,.katex .sizing.reset-size10.size11{font-size:1.1996142719em}.katex .fontsize-ensurer.reset-size11.size1,.katex .sizing.reset-size11.size1{font-size:.2009646302em}.katex .fontsize-ensurer.reset-size11.size2,.katex .sizing.reset-size11.size2{font-size:.2411575563em}.katex .fontsize-ensurer.reset-size11.size3,.katex .sizing.reset-size11.size3{font-size:.2813504823em}.katex .fontsize-ensurer.reset-size11.size4,.katex .sizing.reset-size11.size4{font-size:.3215434084em}.katex .fontsize-ensurer.reset-size11.size5,.katex .sizing.reset-size11.size5{font-size:.3617363344em}.katex .fontsize-ensurer.reset-size11.size6,.katex .sizing.reset-size11.size6{font-size:.4019292605em}.katex .fontsize-ensurer.reset-size11.size7,.katex .sizing.reset-size11.size7{font-size:.4823151125em}.katex .fontsize-ensurer.reset-size11.size8,.katex .sizing.reset-size11.size8{font-size:.578778135em}.katex .fontsize-ensurer.reset-size11.size9,.katex .sizing.reset-size11.size9{font-size:.6945337621em}.katex .fontsize-ensurer.reset-size11.size10,.katex .sizing.reset-size11.size10{font-size:.8336012862em}.katex .fontsize-ensurer.reset-size11.size11,.katex .sizing.reset-size11.size11{font-size:1em}.katex .delimsizing.size1{font-family:KaTeX_Size1}.katex .delimsizing.size2{font-family:KaTeX_Size2}.katex .delimsizing.size3{font-family:KaTeX_Size3}.katex .delimsizing.size4{font-family:KaTeX_Size4}.katex .delimsizing.mult .delim-size1>span{font-family:KaTeX_Size1}.katex .delimsizing.mult .delim-size4>span{font-family:KaTeX_Size4}.katex .nulldelimiter{display:inline-block;width:.12em}.katex .delimcenter,.katex .op-symbol{position:relative}.katex .op-symbol.small-op{font-family:KaTeX_Size1}.katex .op-symbol.large-op{font-family:KaTeX_Size2}.katex .accent>.vlist-t,.katex .op-limits>.vlist-t{text-align:center}.katex .accent .accent-body{position:relative}.katex .accent .accent-body:not(.accent-full){width:0}.katex .overlay{display:block}.katex .mtable .vertical-separator{display:inline-block;min-width:1px}.katex .mtable .arraycolsep{display:inline-block}.katex .mtable .col-align-c>.vlist-t{text-align:center}.katex .mtable .col-align-l>.vlist-t{text-align:left}.katex .mtable .col-align-r>.vlist-t{text-align:right}.katex .svg-align{text-align:left}.katex svg{fill:currentColor;stroke:currentColor;display:block;height:inherit;position:absolute;width:100%}.katex svg path{stroke:none}.katex svg{fill-rule:nonzero;fill-opacity:1;stroke-width:1;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:4;stroke-dasharray:none;stroke-dashoffset:0;stroke-opacity:1}.katex img{border-style:none;max-height:none;max-width:none;min-height:0;min-width:0}.katex .stretchy{display:block;overflow:hidden;position:relative;width:100%}.katex .stretchy:after,.katex .stretchy:before{content:""}.katex .hide-tail{overflow:hidden;position:relative;width:100%}.katex .halfarrow-left{left:0;overflow:hidden;position:absolute;width:50.2%}.katex .halfarrow-right{overflow:hidden;position:absolute;right:0;width:50.2%}.katex .brace-left{left:0;overflow:hidden;position:absolute;width:25.1%}.katex .brace-center{left:25%;overflow:hidden;position:absolute;width:50%}.katex .brace-right{overflow:hidden;position:absolute;right:0;width:25.1%}.katex .x-arrow-pad{padding:0 .5em}.katex .cd-arrow-pad{padding:0 .55556em 0 .27778em}.katex .mover,.katex .munder,.katex .x-arrow{text-align:center}.katex .boxpad{padding:0 .3em}.katex .fbox,.katex .fcolorbox{border:.04em solid;box-sizing:border-box}.katex .cancel-pad{padding:0 .2em}.katex .cancel-lap{margin-left:-.2em;margin-right:-.2em}.katex .sout{border-bottom-style:solid;border-bottom-width:.08em}.katex .angl{border-right:.049em solid;border-top:.049em solid;box-sizing:border-box;margin-right:.03889em}.katex .anglpad{padding:0 .03889em}.katex .eqn-num:before{content:"(" counter(katexEqnNo) ")";counter-increment:katexEqnNo}.katex .mml-eqn-num:before{content:"(" counter(mmlEqnNo) ")";counter-increment:mmlEqnNo}.katex .mtr-glue{width:50%}.katex .cd-vert-arrow{display:inline-block;position:relative}.katex .cd-label-left{display:inline-block;position:absolute;right:calc(50% + .3em);text-align:left}.katex .cd-label-right{display:inline-block;left:calc(50% + .3em);position:absolute;text-align:right}.katex-display{display:block;margin:1em 0;text-align:center}.katex-display>.katex{display:block;text-align:center;white-space:nowrap}.katex-display>.katex>.katex-html{display:block;position:relative}.katex-display>.katex>.katex-html>.tag{position:absolute;right:0}.katex-display.leqno>.katex>.katex-html>.tag{left:0;right:auto}.katex-display.fleqn>.katex{padding-left:2em;text-align:left}body{counter-reset:katexEqnNo mmlEqnNo}