:root{--z-confetti: 1000;--z-error-overlay: 990;--z-error-stage: 980;--z-searchable-select: 970;--z-slideshow-controls: 950;--z-full-screen-overlay: 960;--z-android-safe-area-backdrop: 965;--z-header-tooltip-resize: 940;--z-mail-rich-editor: 930;--z-global-tooltip: 995;--z-interpret-panel: 910;--z-sidebar-dropdown-high: 900;--z-preview-panel: 800;--z-creator-prompt-dialog: 700;--z-dev-publish-modal: 600;--z-modal: 490;--z-dropdown: 500;--z-dialog: 480;--z-sidebar: 400;--z-preview-panel-inner: 250;--radius-xs: 6px;--radius-sm: 8px;--radius-md: 12px;--radius-lg: 16px;--radius-xl: 20px;--radius-2xl: 24px;--shadow-xs: 0 1px 2px rgba(0, 0, 0, .04);--shadow-sm: 0 2px 8px rgba(0, 0, 0, .04), 0 1px 2px rgba(0, 0, 0, .06);--shadow-md: 0 4px 16px rgba(0, 0, 0, .06), 0 2px 6px rgba(0, 0, 0, .04);--shadow-lg: 0 8px 32px rgba(0, 0, 0, .08), 0 4px 12px rgba(0, 0, 0, .04);--space-1: 4px;--space-2: 8px;--space-3: 12px;--space-4: 16px;--space-5: 20px;--space-6: 24px}:root,[data-theme=light]{--chat-bg: #f5f5f7;--chat-bg-rgb: 245, 245, 247;--surface: rgba(255, 255, 255, .94);--surface-solid: #ffffff;--panel: #ffffff;--panel2: #f8f8fa;--bg-primary: #ffffff;--text-primary: #1d1d1f;--hover-bg: #f0f0f2;--text: #1d1d1f;--text-secondary: #6e6e73;--text-tertiary: #8e8e93;--muted: #86868b;--fg: #1d1d1f;--border: rgba(0, 0, 0, .06);--border-color: rgba(0, 0, 0, .06);--primary: #1d1d1f;--accent: #1d1d1f;--on-primary: #ffffff;--user-bubble: #e8e8ed;--user-bubble-border: rgba(0, 0, 0, .08);--user-bubble-text: #1d1d1f;--shadow: 0 2px 8px rgba(0, 0, 0, .04), 0 1px 2px rgba(0, 0, 0, .06);--hover: rgba(0, 0, 0, .04);--bg-secondary: rgba(0, 0, 0, .02);--primary-bg: rgba(0, 0, 0, .05);--glass-bg: rgba(255, 255, 255, .7);--glass-border: rgba(0, 0, 0, .06);--accent-blue: #007aff;--accent-blue-bg: rgba(0, 122, 255, .08);--md-external-link-bg: color-mix(in srgb, var(--accent-blue) 12%, var(--surface-solid));--md-external-link-bg-hover: color-mix(in srgb, var(--accent-blue) 20%, var(--surface-solid));--md-external-link-border: color-mix(in srgb, var(--accent-blue) 34%, var(--border));--md-external-link-shadow: 0 1px 2px rgba(0, 0, 0, .04);--md-external-link-shadow-hover: 0 2px 6px color-mix(in srgb, var(--accent-blue) 22%, transparent);color-scheme:light}[data-theme=dark]{--chat-bg: #0c0c0e;--chat-bg-rgb: 12, 12, 14;--surface: rgba(28, 28, 30, .94);--surface-solid: #1c1c1e;--panel: #1c1c1e;--panel2: #141416;--bg-primary: #1c1c1e;--text-primary: #f5f5f7;--hover-bg: #2c2c2e;--text: #f5f5f7;--text-secondary: #aeaeb2;--text-tertiary: #8e8e93;--muted: #98989d;--fg: #f5f5f7;--border: rgba(255, 255, 255, .06);--border-color: rgba(255, 255, 255, .06);--primary: #f5f5f7;--accent: #f5f5f7;--on-primary: #1c1c1e;--user-bubble: #2c2c2e;--user-bubble-border: rgba(255, 255, 255, .08);--user-bubble-text: #f5f5f7;--shadow: 0 4px 24px rgba(0, 0, 0, .5), 0 1px 0 rgba(255, 255, 255, .05);--hover: rgba(255, 255, 255, .06);--bg-secondary: rgba(255, 255, 255, .04);--primary-bg: rgba(255, 255, 255, .08);--glass-bg: rgba(44, 44, 46, .72);--glass-border: rgba(255, 255, 255, .08);--accent-blue: #0a84ff;--accent-blue-bg: rgba(10, 132, 255, .12);--md-external-link-bg: color-mix(in srgb, var(--accent-blue) 22%, var(--panel2));--md-external-link-bg-hover: color-mix(in srgb, var(--accent-blue) 34%, var(--panel2));--md-external-link-border: color-mix(in srgb, var(--accent-blue) 40%, var(--glass-border));--md-external-link-shadow: 0 1px 3px rgba(0, 0, 0, .35);--md-external-link-shadow-hover: 0 2px 10px rgba(0, 0, 0, .45);color-scheme:dark}:root{--ease-native: cubic-bezier(.25, .1, .25, 1);--ease-native-out: cubic-bezier(.33, 1, .68, 1);--dur-native: .22s;--dur-native-slow: .32s}@font-face{font-family:Pretendard Hangul;font-weight:400;font-display:swap;src:url(https://cdn.jsdelivr.net/npm/pretendard@1.3.9/dist/web/static/woff2/Pretendard-Regular.woff2) format("woff2");unicode-range:U+AC00-D7A3,U+1100-11FF,U+3130-318F,U+A960-A97F,U+D7B0-D7FF}@font-face{font-family:Pretendard Hangul;font-weight:500;font-display:swap;src:url(https://cdn.jsdelivr.net/npm/pretendard@1.3.9/dist/web/static/woff2/Pretendard-Medium.woff2) format("woff2");unicode-range:U+AC00-D7A3,U+1100-11FF,U+3130-318F,U+A960-A97F,U+D7B0-D7FF}@font-face{font-family:Pretendard Hangul;font-weight:600;font-display:swap;src:url(https://cdn.jsdelivr.net/npm/pretendard@1.3.9/dist/web/static/woff2/Pretendard-SemiBold.woff2) format("woff2");unicode-range:U+AC00-D7A3,U+1100-11FF,U+3130-318F,U+A960-A97F,U+D7B0-D7FF}@font-face{font-family:Pretendard Hangul;font-weight:700;font-display:swap;src:url(https://cdn.jsdelivr.net/npm/pretendard@1.3.9/dist/web/static/woff2/Pretendard-Bold.woff2) format("woff2");unicode-range:U+AC00-D7A3,U+1100-11FF,U+3130-318F,U+A960-A97F,U+D7B0-D7FF}@font-face{font-family:Pretendard Hangul;font-weight:900;font-display:swap;src:url(https://cdn.jsdelivr.net/npm/pretendard@1.3.9/dist/web/static/woff2/Pretendard-Black.woff2) format("woff2");unicode-range:U+AC00-D7A3,U+1100-11FF,U+3130-318F,U+A960-A97F,U+D7B0-D7FF}@font-face{font-family:"M PLUS 1p Japanese";font-weight:400;font-display:swap;src:url(https://cdn.jsdelivr.net/npm/@fontsource/m-plus-1p@5.2.9/files/m-plus-1p-japanese-400-normal.woff2) format("woff2");unicode-range:U+3040-309F,U+30A0-30FF,U+31F0-31FF,U+3000-303F,U+4E00-9FFF,U+3400-4DBF,U+F900-FAFF,U+FF00-FFEF}@font-face{font-family:"M PLUS 1p Japanese";font-weight:500;font-display:swap;src:url(https://cdn.jsdelivr.net/npm/@fontsource/m-plus-1p@5.2.9/files/m-plus-1p-japanese-500-normal.woff2) format("woff2");unicode-range:U+3040-309F,U+30A0-30FF,U+31F0-31FF,U+3000-303F,U+4E00-9FFF,U+3400-4DBF,U+F900-FAFF,U+FF00-FFEF}@font-face{font-family:"M PLUS 1p Japanese";font-weight:700;font-display:swap;src:url(https://cdn.jsdelivr.net/npm/@fontsource/m-plus-1p@5.2.9/files/m-plus-1p-japanese-700-normal.woff2) format("woff2");unicode-range:U+3040-309F,U+30A0-30FF,U+31F0-31FF,U+3000-303F,U+4E00-9FFF,U+3400-4DBF,U+F900-FAFF,U+FF00-FFEF}@font-face{font-family:"M PLUS 1p Japanese";font-weight:900;font-display:swap;src:url(https://cdn.jsdelivr.net/npm/@fontsource/m-plus-1p@5.2.9/files/m-plus-1p-japanese-900-normal.woff2) format("woff2");unicode-range:U+3040-309F,U+30A0-30FF,U+31F0-31FF,U+3000-303F,U+4E00-9FFF,U+3400-4DBF,U+F900-FAFF,U+FF00-FFEF}@font-face{font-family:Alibaba PuHuiTi Chinese;font-weight:400;font-display:swap;src:url(https://cdn.jsdelivr.net/npm/alibabapuhuiti-3-55-regular@1.0.0/AlibabaPuHuiTi-3-55-Regular.woff2) format("woff2");unicode-range:U+4E00-9FFF,U+3400-4DBF,U+F900-FAFF,U+2E80-2EFF,U+2F00-2FDF,U+3000-303F,U+31C0-31EF,U+FF00-FFEF}@font-face{font-family:Alibaba PuHuiTi Chinese;font-weight:500;font-display:swap;src:url(https://cdn.jsdelivr.net/npm/alibabapuhuiti-3-65-medium@1.0.0/AlibabaPuHuiTi-3-65-Medium.woff2) format("woff2");unicode-range:U+4E00-9FFF,U+3400-4DBF,U+F900-FAFF,U+2E80-2EFF,U+2F00-2FDF,U+3000-303F,U+31C0-31EF,U+FF00-FFEF}@font-face{font-family:Alibaba PuHuiTi Chinese;font-weight:600;font-display:swap;src:url(https://cdn.jsdelivr.net/npm/alibabapuhuiti-3-75-semibold@1.0.0/AlibabaPuHuiTi-3-75-SemiBold.woff2) format("woff2");unicode-range:U+4E00-9FFF,U+3400-4DBF,U+F900-FAFF,U+2E80-2EFF,U+2F00-2FDF,U+3000-303F,U+31C0-31EF,U+FF00-FFEF}@font-face{font-family:Alibaba PuHuiTi Chinese;font-weight:700;font-display:swap;src:url(https://cdn.jsdelivr.net/npm/alibabapuhuiti-3-85-bold@1.0.0/AlibabaPuHuiTi-3-85-Bold.woff2) format("woff2");unicode-range:U+4E00-9FFF,U+3400-4DBF,U+F900-FAFF,U+2E80-2EFF,U+2F00-2FDF,U+3000-303F,U+31C0-31EF,U+FF00-FFEF}@font-face{font-family:Alibaba PuHuiTi Chinese;font-weight:900;font-display:swap;src:url(https://cdn.jsdelivr.net/npm/alibabapuhuiti-3-85-bold@1.0.0/AlibabaPuHuiTi-3-85-Bold.woff2) format("woff2");unicode-range:U+4E00-9FFF,U+3400-4DBF,U+F900-FAFF,U+2E80-2EFF,U+2F00-2FDF,U+3000-303F,U+31C0-31EF,U+FF00-FFEF}html{height:100%}body{height:100%;margin:0;font-family:Public Sans,Pretendard Hangul,"M PLUS 1p Japanese",-apple-system,BlinkMacSystemFont,Segoe UI,system-ui,sans-serif;font-size:15px;font-weight:400;line-height:1.5;letter-spacing:-.011em;font-feature-settings:"cv02","cv03","cv04","cv11";-webkit-font-smoothing:antialiased;-moz-osx-font-smoothing:grayscale;text-rendering:optimizeLegibility;color:var(--text);overflow:hidden;overscroll-behavior:none;-webkit-user-select:text;user-select:text;-webkit-touch-callout:default}html[lang=zh-Hans] body,html[lang=zh-Hant] body,html[lang=zh-CN] body,html[lang=zh-TW] body{font-family:Public Sans,Pretendard Hangul,Alibaba PuHuiTi Chinese,"M PLUS 1p Japanese",-apple-system,BlinkMacSystemFont,Segoe UI,system-ui,sans-serif}:focus-visible{outline:2px solid var(--accent-blue);outline-offset:2px}strong,b,.markdown-body strong,.markdown-body b,.markdown-body h1,.markdown-body h2,.markdown-body h3,.markdown-body h4,.markdown-body h5,.markdown-body h6{font-weight:900}.markdown-body a.md-external-link{display:inline-flex;align-items:center;gap:.2em;vertical-align:.08em;margin:0 .1em;padding:.22em .65em .24em;border-radius:9999px;font-size:.8em;font-weight:600;line-height:1.2;letter-spacing:-.02em;text-decoration:none!important;border:1px solid var(--md-external-link-border);background:var(--md-external-link-bg);color:var(--accent-blue);box-shadow:var(--md-external-link-shadow);max-width:100%;min-width:0;box-sizing:border-box;transition:background var(--dur-native) var(--ease-native),border-color var(--dur-native) var(--ease-native),box-shadow var(--dur-native) var(--ease-native),transform .15s var(--ease-native-out)}.markdown-body a.md-external-link:hover{background:var(--md-external-link-bg-hover);border-color:color-mix(in srgb,var(--accent-blue) 55%,var(--border));box-shadow:var(--md-external-link-shadow-hover)}.markdown-body a.md-external-link:active{transform:scale(.98)}.markdown-body a.md-external-link:focus-visible{outline:2px solid var(--accent-blue);outline-offset:2px}.markdown-body a.md-external-link .md-external-link__ic{font-size:.95em;line-height:1;opacity:.92;flex-shrink:0;font-weight:700;translate:0 -.02em}.markdown-body a.md-external-link .md-external-link__txt{white-space:normal;min-width:0;overflow-wrap:anywhere;word-break:break-all}[data-theme=dark] .memo-card .markdown-body a.md-external-link{color:var(--accent-blue)}.helpcenter-topic-body.markdown-body a.md-external-link{border-bottom:none;font-weight:600;color:var(--accent-blue)}#root{position:fixed;inset:0;overflow:hidden}::-webkit-scrollbar{width:6px;height:6px}::-webkit-scrollbar-track{background:transparent}::-webkit-scrollbar-thumb{background:#00000026;border-radius:9999px}::-webkit-scrollbar-thumb:hover{background:#00000040}[data-theme=dark] ::-webkit-scrollbar-thumb{background:#ffffff1f}[data-theme=dark] ::-webkit-scrollbar-thumb:hover{background:#ffffff38}.tooltip-on-hover,button[title],.tooltip-top{position:relative}@media(hover:hover){.tooltip-on-hover[title]:after,button[title]:after{content:attr(title);position:absolute;left:50%;transform:translate3d(-50%,0,0);padding:4px 8px;background:#000000e6;color:#fff;font-size:11px;font-weight:500;white-space:nowrap;border-radius:4px;opacity:0;pointer-events:none;z-index:var(--z-global-tooltip);-webkit-font-smoothing:antialiased;-moz-osx-font-smoothing:grayscale;top:calc(100% + 6px);bottom:auto}.tooltip-top[title]:after{top:auto;bottom:calc(100% + 6px)}.chat-toolbar button[title]:after,.app-mode-tabs-outer button[title]:after,.toolbar-right button[title]:after,.input-area button[title]:after,.input-row button[title]:after{top:auto;bottom:calc(100% + 6px)}.tooltip-on-hover[title]:hover:after,button[title]:hover:after{opacity:1}[data-theme=light] .tooltip-on-hover[title]:after,[data-theme=light] button[title]:after{background:var(--panel);color:var(--text);border:1px solid var(--border);box-shadow:var(--shadow)}}button:not(:disabled),a,[role=button]:not([aria-disabled=true]),[role=menuitem],input[type=checkbox],input[type=radio],select:not(:disabled),label[for],details summary,.clickable,.ai-quick-reply-chip,.ga-mail-item.clickable,.message-text.clickable{cursor:pointer}.safe-area-top-fill{position:fixed;top:0;left:0;right:0;height:var(--safe-area-inset-top, env(safe-area-inset-top, 0px));z-index:var(--z-full-screen-overlay);pointer-events:none;background:#ffffffb8;backdrop-filter:blur(24px) saturate(1.8);-webkit-backdrop-filter:blur(24px) saturate(1.8)}[data-theme=dark] .safe-area-top-fill{background:#1c1c1eb8;backdrop-filter:blur(24px) saturate(1.2);-webkit-backdrop-filter:blur(24px) saturate(1.2)}html[data-capacitor-webview] body:not(.login-page) .safe-area-top-fill,html.pseudo-fullscreen body:not(.login-page) .safe-area-top-fill{display:none}@media all and (display-mode:standalone){body:not(.login-page) .safe-area-top-fill{display:none}}.dark-status-bar-cover{display:block}html[data-capacitor-webview] .chat-header,html[data-capacitor-webview] .sidebar-header,html[data-capacitor-webview] .settings-header,html[data-capacitor-webview] .helpcenter-header{height:auto;padding-top:var(--safe-area-inset-top, env(safe-area-inset-top, 0px));min-height:calc(54px + var(--safe-area-inset-top, env(safe-area-inset-top, 0px)))}html[data-capacitor-webview] .settings-header{min-height:calc(48px + var(--safe-area-inset-top, env(safe-area-inset-top, 0px)))}html[data-capacitor-webview] .helpcenter-header{min-height:calc(52px + var(--safe-area-inset-top, env(safe-area-inset-top, 0px)))}html[data-capacitor-webview] .helpcenter-mobile-drawer-header{padding-top:calc(16px + var(--safe-area-inset-top, env(safe-area-inset-top, 0px)))}@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:"0.16.45"}.katex .katex-mathml{clip:rect(1px,1px,1px,1px);border:0;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}@layer base{body.cert-app-shell-reset *,body.cert-app-shell-reset *:before,body.cert-app-shell-reset *:after{margin:0;padding:0;box-sizing:border-box}body.cert-app-shell-reset button,body.cert-app-shell-reset input,body.cert-app-shell-reset select,body.cert-app-shell-reset textarea{font-family:inherit}}.cert-logo-stop-a{animation:cert-stop-a-light 8s linear infinite}.cert-logo-stop-b{animation:cert-stop-b-light 8s linear infinite}.cert-logo-stop-c{animation:cert-stop-c-light 8s linear infinite}@keyframes cert-stop-a-light{0%{stop-color:#8b5cf6}33%{stop-color:#000}66%{stop-color:#0ea5e9}to{stop-color:#8b5cf6}}@keyframes cert-stop-b-light{0%{stop-color:#0ea5e9}33%{stop-color:#8b5cf6}66%{stop-color:#000}to{stop-color:#0ea5e9}}@keyframes cert-stop-c-light{0%{stop-color:#000}33%{stop-color:#0ea5e9}66%{stop-color:#8b5cf6}to{stop-color:#000}}[data-theme=dark] .cert-logo-stop-a{animation:cert-stop-a-dark 8s linear infinite}[data-theme=dark] .cert-logo-stop-b{animation:cert-stop-b-dark 8s linear infinite}[data-theme=dark] .cert-logo-stop-c{animation:cert-stop-c-dark 8s linear infinite}@keyframes cert-stop-a-dark{0%{stop-color:#8b5cf6}33%{stop-color:#fff}66%{stop-color:#0ea5e9}to{stop-color:#8b5cf6}}@keyframes cert-stop-b-dark{0%{stop-color:#0ea5e9}33%{stop-color:#8b5cf6}66%{stop-color:#fff}to{stop-color:#0ea5e9}}@keyframes cert-stop-c-dark{0%{stop-color:#fff}33%{stop-color:#0ea5e9}66%{stop-color:#8b5cf6}to{stop-color:#fff}}.paywall-overlay-backdrop{position:fixed;inset:0;z-index:var(--z-modal);display:flex;align-items:center;justify-content:center;padding:20px;background:#0f172a8f;-webkit-backdrop-filter:blur(14px);backdrop-filter:blur(14px)}[data-theme=dark] .paywall-overlay-backdrop{background:radial-gradient(circle at top,rgba(99,102,241,.12),transparent 32%),radial-gradient(circle at bottom,rgba(15,23,42,.28),transparent 40%),#020617d1;-webkit-backdrop-filter:blur(20px) saturate(1.04);backdrop-filter:blur(20px) saturate(1.04)}.paywall-overlay-card{position:relative;width:min(100%,492px);max-height:min(calc(100dvh - 24px),860px);display:flex;flex-direction:column;border-radius:24px;border:1px solid rgba(99,102,241,.14);background:radial-gradient(circle at top right,rgba(56,189,248,.1),transparent 40%),radial-gradient(circle at top left,rgba(244,114,182,.07),transparent 34%),linear-gradient(180deg,#6366f10b,#0f172a03),var(--panel);box-shadow:0 30px 90px #0f172a3d,0 12px 30px #0f172a14;color:var(--text);overflow:hidden}[data-theme=dark] .paywall-overlay-card{border-color:#94a3b824;background:radial-gradient(circle at top right,rgba(99,102,241,.1),transparent 34%),radial-gradient(circle at top left,rgba(168,85,247,.06),transparent 26%),linear-gradient(180deg,#0f172af7,#080c18f7);box-shadow:inset 0 1px #ffffff0a,0 30px 90px #00000075,0 10px 30px #0f172a3d}.paywall-overlay-card:before{content:"";position:absolute;inset:0;background:linear-gradient(135deg,rgba(255,255,255,.05),transparent 42%);pointer-events:none}[data-theme=dark] .paywall-overlay-card:before{background:linear-gradient(135deg,rgba(255,255,255,.045),transparent 42%)}.paywall-overlay-close{position:absolute;top:24px;right:24px;z-index:2;display:flex;align-items:center;justify-content:center;border:0;background:transparent;color:var(--text-secondary);font-size:24px;line-height:1;cursor:pointer;border-radius:10px;padding:0;width:28px;height:28px}[data-theme=dark] .paywall-overlay-close{color:#e2e8f0bd}.paywall-overlay-body{padding:14px 14px 0;display:grid;gap:14px;flex:1 1 auto;min-height:0;overflow-y:auto;overscroll-behavior:contain}.paywall-overlay-hero{border-radius:18px;padding:22px 18px 18px;background:radial-gradient(circle at top center,rgba(255,255,255,.38),transparent 48%),linear-gradient(135deg,#6366f11f,#38bdf817);border:1px solid rgba(99,102,241,.15);text-align:center;box-shadow:inset 0 1px #ffffff6b,0 10px 30px #6366f114}[data-theme=dark] .paywall-overlay-hero{background:radial-gradient(circle at top center,rgba(255,255,255,.06),transparent 48%),radial-gradient(circle at bottom right,rgba(129,140,248,.06),transparent 34%),linear-gradient(145deg,#1f1d2bf5,#131723f5);border-color:#94a3b824;box-shadow:inset 0 1px #ffffff0d,0 18px 40px #00000042}.paywall-overlay-hero--hard,.paywall-overlay-hero--variant_c{background:radial-gradient(circle at top center,rgba(255,255,255,.32),transparent 46%),linear-gradient(135deg,#dc26261f,#f8717114);border-color:#dc262629}[data-theme=dark] .paywall-overlay-hero--hard,[data-theme=dark] .paywall-overlay-hero--variant_c{background:radial-gradient(circle at top center,rgba(255,255,255,.06),transparent 46%),radial-gradient(circle at bottom right,rgba(129,140,248,.07),transparent 34%),linear-gradient(145deg,#271828f7,#161420f5);border-color:#a78bfa29}.paywall-overlay-eyebrow{margin-bottom:10px;font-size:12px;font-weight:700;color:var(--text-secondary)}[data-theme=dark] .paywall-overlay-eyebrow{color:#ffffffa8}.paywall-overlay-title{max-width:340px;margin:0 auto;font-size:28px;font-weight:800;line-height:1.12;letter-spacing:-.04em;color:var(--text);white-space:normal;word-break:keep-all;text-wrap:balance}[data-theme=dark] .paywall-overlay-title{color:#f8fafc}.paywall-overlay-desc{max-width:326px;margin:10px auto 0;font-size:13px;line-height:1.6;color:var(--text-secondary);white-space:pre-line;word-break:keep-all;text-wrap:balance}[data-theme=dark] .paywall-overlay-desc{color:#e2e8f0bd}.paywall-overlay-hero-meta{display:grid;gap:8px;margin-top:14px;justify-items:center}.paywall-overlay-balance{margin:0;font-size:13px;font-weight:600;line-height:1.45;color:var(--text-secondary)}[data-theme=dark] .paywall-overlay-balance{color:#e2e8f0d1}.paywall-overlay-recovery{max-width:292px;font-size:12px;line-height:1.5;color:var(--text-secondary);word-break:keep-all}[data-theme=dark] .paywall-overlay-recovery{color:#e2e8f0b3}.paywall-overlay-section{display:grid;gap:10px}.paywall-overlay-section-title{font-size:14px;font-weight:800;letter-spacing:-.02em;color:var(--text);word-break:keep-all}[data-theme=dark] .paywall-overlay-section-title{color:#f8fafcf5}.paywall-offer-card{width:100%;text-align:left;border-radius:20px;border:1px solid rgba(99,102,241,.16);background:linear-gradient(180deg,#fffffff5,#f9fafff0),linear-gradient(135deg,#6366f109,#38bdf806);padding:15px 15px 14px;cursor:pointer;box-shadow:inset 0 1px #ffffffbd,0 10px 26px #0f172a0d;transition:transform .14s ease,border-color .14s ease,box-shadow .14s ease,background .14s ease}.paywall-offer-card:hover{transform:translateY(-1px);border-color:#6366f13d;box-shadow:inset 0 1px #ffffffc7,0 16px 34px #0f172a14}.paywall-offer-card--hard{border-color:#dc262633;background:linear-gradient(180deg,#fffffff0,#fff8f8f0),linear-gradient(135deg,#dc26260a,#f8717108)}.paywall-offer-card-header{display:flex;justify-content:space-between;gap:12px;align-items:flex-start}.paywall-offer-card-side{margin-left:auto;display:flex;flex-direction:column;align-items:flex-end;gap:6px;text-align:right;min-width:max-content}.paywall-offer-card-meta{font-size:11px;font-weight:700;color:rgb(var(--primary-rgb, 99 102 241))}.paywall-offer-card-name{margin-top:4px;font-size:20px;font-weight:800;color:var(--text);letter-spacing:-.03em;word-break:keep-all}.paywall-offer-card-price{font-size:30px;font-weight:900;line-height:1;letter-spacing:-.03em;color:#111827;text-shadow:0 1px 0 rgba(255,255,255,.65)}.paywall-offer-card-highlight{align-self:flex-end;font-size:11px;font-weight:700;color:rgb(var(--primary-rgb, 99 102 241));background:color-mix(in srgb,rgb(var(--primary-rgb, 99 102 241)) 10%,transparent);padding:3px 8px;border-radius:999px}.paywall-offer-card-desc{margin:10px 0 0;max-width:248px;font-size:12px;line-height:1.6;color:var(--text-secondary);word-break:keep-all}.paywall-overlay-compact-notes{list-style:none;margin:0;padding:10px 12px;display:grid;gap:7px;border-radius:16px;background:linear-gradient(180deg,#f8faffe0,#f5f7ffd1),#6366f108;border:1px solid rgba(99,102,241,.07)}.paywall-overlay-compact-notes li{position:relative;padding-left:14px;font-size:12px;line-height:1.5;color:var(--text-secondary);word-break:keep-all}.paywall-overlay-compact-notes li:before{content:"•";position:absolute;left:0;top:0;color:rgb(var(--mw-accent, 56 189 248))}.paywall-offer-card-action{margin-top:12px;padding-top:10px;border-top:1px solid rgba(99,102,241,.08);font-size:12px;font-weight:700;color:rgb(var(--primary-rgb, 99 102 241))}[data-theme=dark] .paywall-offer-card{border-color:#a78bfa29;background:radial-gradient(circle at top right,rgba(99,102,241,.08),transparent 36%),linear-gradient(180deg,#1c141cf5,#121018f5);box-shadow:inset 0 1px #ffffff0a,0 16px 34px #0000004d}[data-theme=dark] .paywall-offer-card:hover{border-color:#c084fc42;box-shadow:inset 0 1px #ffffff0d,0 18px 40px #00000057,0 0 0 1px #c084fc0f}[data-theme=dark] .paywall-offer-card--hard{background:radial-gradient(circle at top right,rgba(248,113,113,.06),transparent 38%),linear-gradient(180deg,#2c1218f7,#1c0e12f5)}[data-theme=dark] .paywall-offer-card-price{color:#f8fafc;text-shadow:none}[data-theme=dark] .paywall-offer-card-meta,[data-theme=dark] .paywall-offer-card-action{color:#a78bfa}[data-theme=dark] .paywall-offer-card-highlight{color:#ddd6fe;background:#8b5cf629}[data-theme=dark] .paywall-offer-card-desc{color:#e2e8f0b3}[data-theme=dark] .paywall-overlay-compact-notes{background:linear-gradient(180deg,#ffffff0f,#ffffff08),#6366f10f;border-color:#a78bfa1a}[data-theme=dark] .paywall-overlay-compact-notes li{color:#e2e8f0ad}[data-theme=dark] .paywall-overlay-compact-notes li:before{color:#c4b5fd}.paywall-overlay-actions{display:flex;gap:10px;justify-content:flex-end;padding:16px 18px 18px;background:linear-gradient(180deg,#ffffff05,#6366f105);flex-shrink:0}[data-theme=dark] .paywall-overlay-actions{background:linear-gradient(180deg,#ffffff03,#6366f10b)}.paywall-overlay-secondary,.paywall-overlay-primary{min-width:112px;height:42px;padding:0 16px;border-radius:13px;border:1px solid var(--border);font-size:14px;font-weight:700;cursor:pointer;transition:transform var(--dur-native, .22s) var(--ease-native, cubic-bezier(.25, .1, .25, 1)),background var(--dur-native, .22s) var(--ease-native, cubic-bezier(.25, .1, .25, 1)),opacity var(--dur-native, .22s) var(--ease-native, cubic-bezier(.25, .1, .25, 1))}.paywall-overlay-secondary{background:#ffffff9e;color:var(--text-secondary)}[data-theme=dark] .paywall-overlay-secondary{background:#ffffff12;border-color:#ffffff1a;color:#f8fafc;box-shadow:inset 0 1px #ffffff0f}.paywall-overlay-primary{min-width:156px;background:linear-gradient(135deg,#6366f1,#4f46e5);border-color:transparent;color:#fff;box-shadow:0 14px 28px #6366f133}[data-theme=dark] .paywall-overlay-primary{background:linear-gradient(135deg,#f43f5e,#fb7185);box-shadow:0 14px 28px #f43f5e38,inset 0 1px #ffffff1a}.paywall-overlay-primary.hard{background:linear-gradient(135deg,#dc2626,#f87171);border-color:transparent}.paywall-overlay-secondary:hover,.paywall-overlay-primary:hover{transform:translateY(-1px)}[data-theme=dark] .paywall-overlay-secondary:hover{background:#ffffff1f;border-color:#ffffff38}[data-theme=dark] .paywall-overlay-primary:hover{box-shadow:0 16px 30px #f43f5e42,inset 0 1px #ffffff1f}.paywall-overlay-secondary:active,.paywall-overlay-primary:active{transform:scale(.98)}@media(max-width:640px){.paywall-overlay-backdrop{align-items:center;padding:12px}.paywall-overlay-card{width:100%;max-height:min(calc(100dvh - 12px),820px);border-radius:22px}.paywall-overlay-title{max-width:300px;font-size:24px}.paywall-overlay-body{padding:10px 14px 0}.paywall-overlay-hero{padding:20px 15px 16px}.paywall-offer-card{padding:14px 13px 13px}.paywall-overlay-actions{flex-direction:column-reverse;padding:16px 14px 14px}.paywall-overlay-secondary,.paywall-overlay-primary{width:100%}.paywall-offer-card-header{align-items:flex-start}.paywall-offer-card-name{font-size:18px}.paywall-offer-card-price{font-size:26px}.paywall-offer-card-desc{max-width:none}}@media(max-width:420px){.paywall-overlay-backdrop{padding:10px}.paywall-overlay-card{max-height:min(calc(100dvh - 10px),780px);border-radius:20px}.paywall-overlay-body{padding:10px 12px 0;gap:12px}.paywall-overlay-title{max-width:270px;font-size:22px}.paywall-overlay-desc{font-size:12px;line-height:1.55}.paywall-offer-card{padding:13px 12px 12px}.paywall-offer-card-header{gap:8px}.paywall-offer-card-name{font-size:17px}.paywall-offer-card-price{font-size:24px}.paywall-offer-card-desc,.paywall-overlay-compact-notes li{font-size:11.5px}.paywall-overlay-actions{padding:14px 12px 12px}}@media(max-height:820px){.paywall-overlay-backdrop{align-items:center;padding:12px}.paywall-overlay-card{max-height:min(calc(100dvh - 16px),760px)}.paywall-overlay-body{gap:12px}.paywall-overlay-hero{padding:18px 16px 15px}.paywall-overlay-title{font-size:24px}.paywall-overlay-desc{margin-top:8px;font-size:12.5px}.paywall-overlay-hero-meta{margin-top:10px;gap:6px}.paywall-offer-card{padding:13px}.paywall-offer-card-price{font-size:27px}.paywall-offer-card-desc{margin-top:8px}.paywall-overlay-compact-notes{padding:9px 11px}.paywall-overlay-actions{padding-top:14px;padding-bottom:14px}}@media(max-height:700px){.paywall-overlay-backdrop{align-items:center;padding:8px}.paywall-overlay-card{width:min(100%,520px);max-height:min(calc(100dvh - 16px),860px);height:auto;border-radius:18px}.paywall-overlay-body{padding:6px 12px 0;gap:10px}.paywall-overlay-hero{padding:14px 14px 12px;border-radius:16px}.paywall-overlay-eyebrow{margin-bottom:6px;font-size:11px}.paywall-overlay-title{max-width:280px;font-size:21px}.paywall-overlay-desc{margin-top:6px;font-size:12px;line-height:1.45}.paywall-overlay-balance,.paywall-overlay-recovery{font-size:11.5px}.paywall-overlay-section{gap:8px}.paywall-overlay-section-title{font-size:13px}.paywall-offer-card{padding:12px;border-radius:16px}.paywall-offer-card-name{font-size:17px}.paywall-offer-card-price{font-size:24px}.paywall-offer-card-desc,.paywall-overlay-compact-notes li,.paywall-offer-card-action{font-size:11.5px}.paywall-overlay-compact-notes{padding:8px 10px;gap:5px}.paywall-overlay-actions{gap:8px;padding:12px}.paywall-overlay-secondary,.paywall-overlay-primary{height:40px;font-size:13px}}.sr-only{position:absolute;width:1px;height:1px;overflow:hidden;clip:rect(0,0,0,0);white-space:nowrap;border:0}.paywall-drawer-overlay{position:fixed;inset:0;background:#0006;z-index:var(--z-full-screen-overlay, 9999)}.paywall-drawer-content{position:fixed;inset:0;z-index:var(--z-full-screen-overlay, 9999);background:radial-gradient(ellipse 80% 50% at 30% 20%,rgba(99,102,241,.14),transparent),radial-gradient(ellipse 60% 40% at 80% 60%,rgba(192,132,252,.1),transparent),radial-gradient(ellipse 50% 30% at 50% 90%,rgba(56,189,248,.08),transparent),var(--glass-bg, #1a1a1a);backdrop-filter:blur(20px);-webkit-backdrop-filter:blur(20px);border-top-left-radius:0;border-top-right-radius:0;height:100dvh;max-height:none;outline:none;overflow:hidden}[data-theme=dark] .paywall-drawer-content{background:radial-gradient(ellipse 80% 50% at 30% 20%,rgba(129,140,248,.12),transparent),radial-gradient(ellipse 60% 40% at 80% 60%,rgba(192,132,252,.09),transparent),radial-gradient(ellipse 50% 30% at 50% 90%,rgba(56,189,248,.06),transparent),var(--glass-bg, #1a1a1a)}.paywall-drawer-body{padding:4px 20px calc(env(safe-area-inset-bottom,0px) + 24px);display:flex;flex-direction:column;gap:16px;overflow-y:auto;max-height:calc(100dvh - 40px);overscroll-behavior:contain}.paywall-drawer-hero{position:relative;text-align:center;padding:20px 4px 14px;border-radius:14px;background:radial-gradient(circle at top center,rgba(99,102,241,.04),transparent 60%),transparent}.paywall-drawer-logo{position:relative;z-index:1;width:100px;height:auto;margin-top:8px;margin-bottom:18px}.paywall-drawer-hero--hard{background:radial-gradient(circle at top center,rgba(167,139,250,.04),transparent 60%),transparent}[data-theme=dark] .paywall-drawer-hero{background:radial-gradient(circle at top center,rgba(129,140,248,.06),transparent 60%),transparent}[data-theme=dark] .paywall-drawer-hero--hard{background:radial-gradient(circle at top center,rgba(167,139,250,.06),transparent 60%),transparent}.paywall-drawer-mesh{position:absolute;inset:0;width:100%;height:100%;z-index:0;pointer-events:none;opacity:0;transition:opacity .3s ease-in}.paywall-drawer-mesh.active{opacity:.7}[data-theme=dark] .paywall-drawer-mesh.active{opacity:.5}.paywall-drawer-title{position:relative;z-index:1;margin:0;font-size:28px;font-weight:800;line-height:1.15;letter-spacing:-.035em;color:var(--text, #111);padding-left:5vw;padding-right:5vw;white-space:pre-line;word-break:keep-all;overflow-wrap:break-word}[data-theme=dark] .paywall-drawer-title{color:#f8fafc}.paywall-drawer-desc{position:relative;z-index:1;margin:12px 0 0;font-size:13px;line-height:1.55;color:var(--text-secondary, #666);word-break:keep-all;text-wrap:balance}[data-theme=dark] .paywall-drawer-desc{color:#e2e8f0b8}.paywall-drawer-balance{position:relative;z-index:1;margin-top:8px;font-size:12px;font-weight:600;color:var(--text-secondary, #888)}[data-theme=dark] .paywall-drawer-balance{color:#e2e8f0b3}.paywall-drawer-benefits{position:relative;z-index:1;list-style:none;margin:0;padding:0;display:flex;flex-direction:column;gap:10px}.paywall-drawer-benefit{display:flex;align-items:flex-start;gap:10px;font-size:13px;font-weight:500;line-height:1.45;color:var(--text, #111)}[data-theme=dark] .paywall-drawer-benefit{color:#f8fafce0}.paywall-drawer-benefit-check{flex-shrink:0;margin-top:1px;color:#6366f1}[data-theme=dark] .paywall-drawer-benefit-check{color:#a5b4fc}.paywall-drawer-plan-meta{display:flex;flex-wrap:wrap;align-items:center;gap:6px}.paywall-drawer-plan-tags{display:inline-flex;flex-wrap:nowrap;align-items:center;gap:6px}.paywall-drawer-plan-bonus{font-size:11px;font-weight:700;padding:1px 6px;border-radius:5px;background:#f59e0b1a;color:#b47305}[data-theme=dark] .paywall-drawer-plan-bonus{background:#fbbf241f;color:#fcd34d}.paywall-drawer-plan-save{font-size:11px;font-weight:700;padding:1px 6px;border-radius:5px;background:#10b9811a;color:#059669}[data-theme=dark] .paywall-drawer-plan-save{background:#34d3991f;color:#6ee7b7}.paywall-drawer-plan-compare{font-size:11px;font-weight:600;padding:1px 6px;border-radius:5px;background:#6366f114;color:#4f46e5}[data-theme=dark] .paywall-drawer-plan-compare{background:#818cf81f;color:#a5b4fc}.paywall-drawer-section-header{position:relative;z-index:1;font-size:12px;font-weight:700;letter-spacing:.02em;color:var(--text-secondary, #888);padding:4px 0 2px}[data-theme=dark] .paywall-drawer-section-header{color:#e2e8f080}.paywall-drawer-plans{display:flex;flex-direction:column;gap:8px}.paywall-drawer-plans-loading{display:flex;flex-direction:column;gap:8px;min-height:100vh}.paywall-drawer-plan-skeleton{flex:1;min-height:60px;border-radius:14px;background:var(--input-bg, rgba(0, 0, 0, .05));animation:paywall-drawer-pulse 1.2s ease-in-out infinite}[data-theme=dark] .paywall-drawer-plan-skeleton{background:#ffffff0f}@keyframes paywall-drawer-pulse{0%,to{opacity:1}50%{opacity:.5}}.paywall-drawer-plan-card{position:relative;display:flex;flex-direction:column;gap:4px;width:100%;text-align:left;padding:14px 16px;border:1px solid rgba(99,102,241,.08);border-radius:14px;background:#ffffff8c;cursor:pointer;transition:border-color .15s,transform .1s,box-shadow .2s}.paywall-drawer-plan-card:active{transform:scale(.98)}.paywall-drawer-plan-card:disabled{opacity:.6;pointer-events:none}.paywall-drawer-plan-card.popular{border-color:transparent;background-clip:padding-box;box-shadow:0 0 0 1px #6366f133,0 4px 16px #6366f11a}.paywall-drawer-plan-card.popular:before{content:"";position:absolute;inset:-1px;border-radius:15px;padding:1px;background:linear-gradient(135deg,#818cf8,#c084fc,#38bdf8,#818cf8);background-size:300% 300%;animation:paywall-drawer-border-glow 4s ease infinite;-webkit-mask:linear-gradient(#fff 0 0) content-box,linear-gradient(#fff 0 0);-webkit-mask-composite:xor;mask-composite:exclude;pointer-events:none}@keyframes paywall-drawer-border-glow{0%,to{background-position:0% 50%}50%{background-position:100% 50%}}[data-theme=dark] .paywall-drawer-plan-card{background:#ffffff08;border-color:#94a3b814}[data-theme=dark] .paywall-drawer-plan-card.popular{background:#ffffff0a;box-shadow:0 0 0 1px #818cf826,0 4px 20px #818cf814}.paywall-drawer-plan-card.loading{opacity:.7}.paywall-drawer-plan-header{display:flex;align-items:center;gap:8px}.paywall-drawer-plan-name{font-size:15px;font-weight:700;color:var(--text, #111)}[data-theme=dark] .paywall-drawer-plan-name{color:#f8fafc}.paywall-drawer-plan-badge{position:relative;font-size:10px;font-weight:700;text-transform:uppercase;letter-spacing:.04em;padding:2px 7px;border-radius:6px;background:linear-gradient(135deg,#6366f124,#c084fc24);color:#6366f1;overflow:hidden}.paywall-drawer-plan-badge:after{content:"";position:absolute;inset:0;background:linear-gradient(105deg,transparent 40%,rgba(255,255,255,.4) 50%,transparent 60%);background-size:200% 100%;animation:paywall-drawer-shimmer 2.4s ease-in-out infinite}@keyframes paywall-drawer-shimmer{0%{background-position:200% 0}to{background-position:-200% 0}}[data-theme=dark] .paywall-drawer-plan-badge{background:linear-gradient(135deg,#818cf82e,#c084fc24);color:#a5b4fc}[data-theme=dark] .paywall-drawer-plan-badge:after{background:linear-gradient(105deg,transparent 40%,rgba(255,255,255,.12) 50%,transparent 60%);background-size:200% 100%;animation:paywall-drawer-shimmer 2.4s ease-in-out infinite}.paywall-drawer-plan-price{font-size:18px;font-weight:800;color:var(--text, #111);letter-spacing:-.02em}[data-theme=dark] .paywall-drawer-plan-price{color:#f8fafc}.paywall-drawer-plan-period{font-size:13px;font-weight:500;color:var(--text-secondary, #888);margin-left:2px}.paywall-drawer-plan-credits{font-size:11px;color:var(--text-secondary, #888)}[data-theme=dark] .paywall-drawer-plan-credits{color:#e2e8f099}.paywall-drawer-plan-spinner{position:absolute;top:50%;right:16px;transform:translateY(-50%);width:18px;height:18px;border:2px solid rgba(99,102,241,.2);border-top-color:#6366f1;border-radius:50%;animation:paywall-drawer-spin .6s linear infinite}@keyframes paywall-drawer-spin{to{transform:translateY(-50%) rotate(360deg)}}.paywall-drawer-error{display:flex;align-items:center;gap:8px;padding:10px 14px;border-radius:10px;background:#dc262614;color:#b91c1c;font-size:13px;line-height:1.4}[data-theme=dark] .paywall-drawer-error{background:#ef44441f;color:#fca5a5}.paywall-drawer-error span{flex:1}.paywall-drawer-error-dismiss{flex-shrink:0;border:none;background:transparent;color:inherit;font-size:18px;line-height:1;cursor:pointer;padding:0 2px}.paywall-drawer-secondary{width:100%;padding:12px;border:none;border-radius:12px;background:transparent;font-size:14px;font-weight:600;color:var(--text-secondary, #888);cursor:pointer;transition:background .15s}.paywall-drawer-secondary:active{background:#0000000a}[data-theme=dark] .paywall-drawer-secondary:active{background:#ffffff0a}.g-tip{position:fixed;z-index:var(--z-global-tooltip);pointer-events:none;padding:4px 9px;background:#000000d9;color:#fff;font-size:11px;font-weight:500;line-height:1.4;white-space:nowrap;border-radius:4px;box-shadow:0 2px 8px #00000040;-webkit-font-smoothing:antialiased;animation:g-tip-in .1s ease}@keyframes g-tip-in{0%{opacity:0;scale:.92}to{opacity:1;scale:1}}.g-tip--top{left:var(--tip-x);top:var(--tip-y);transform:translate(-50%,-100%)}.g-tip--bottom{left:var(--tip-x);top:var(--tip-y);transform:translate(-50%)}.g-tip--right{left:var(--tip-x);top:var(--tip-y);transform:translateY(-50%)}.g-tip--left{left:var(--tip-x);top:var(--tip-y);transform:translate(-100%,-50%)}.g-tip--wrap{white-space:normal;max-width:260px;text-align:center}[data-theme=light] .g-tip{background:#fff;color:#202124;border:1px solid #e0e0e0;box-shadow:0 2px 8px #00000026}html{overflow:hidden;overscroll-behavior:none;height:100%;min-height:100vh;min-height:100dvh}html,body,#root{background-color:var(--chat-bg);background-attachment:fixed}body{overflow:hidden;overscroll-behavior:none;position:fixed;top:0;left:0;width:100%;height:100%}#root{width:100%;height:100vh;height:100dvh;overflow:hidden;-webkit-user-select:text;user-select:text}@keyframes skel-shimmer{0%{background-position:-200% 0}to{background-position:200% 0}}@keyframes skel-fade-in{0%{opacity:0;transform:translateY(4px)}to{opacity:1;transform:translateY(0)}}@keyframes skel-pulse{0%,to{opacity:.4}50%{opacity:1}}.skel-bone{border-radius:6px;background:linear-gradient(90deg,var(--skel-base, rgba(128, 128, 128, .08)) 25%,var(--skel-shine, rgba(128, 128, 128, .15)) 50%,var(--skel-base, rgba(128, 128, 128, .08)) 75%);background-size:200% 100%;animation:skel-shimmer 1.6s ease-in-out infinite}.skel-circle{border-radius:50%;background:linear-gradient(90deg,var(--skel-base, rgba(128, 128, 128, .08)) 25%,var(--skel-shine, rgba(128, 128, 128, .15)) 50%,var(--skel-base, rgba(128, 128, 128, .08)) 75%);background-size:200% 100%;animation:skel-shimmer 1.6s ease-in-out infinite}.skel-row{opacity:0;animation:skel-fade-in .35s ease forwards}.app-splash{display:flex;height:100dvh;background:var(--chat-bg, #fff);overflow:hidden;padding-top:var(--safe-area-inset-top, env(safe-area-inset-top, 0px));padding-bottom:var(--safe-area-inset-bottom, env(safe-area-inset-bottom, 0px))}.app-splash-sidebar{width:280px;background:var(--panel, #fafafa);border-right:1px solid var(--border, #e5e5e5);display:flex;flex-direction:column;padding:16px 14px;gap:12px}.app-splash-sidebar-header{display:flex;align-items:center;justify-content:space-between;height:36px;margin-bottom:4px}.app-splash-search{height:36px;border-radius:10px}.app-splash-channels{display:flex;flex-direction:column;gap:6px;flex:1}.app-splash-channel{display:flex;flex-direction:column;gap:6px;padding:10px 12px;border-radius:10px;background:var(--bg-secondary, rgba(128, 128, 128, .04))}.app-splash-channel-top{display:flex;align-items:center;gap:8px}.app-splash-main{flex:1;display:flex;flex-direction:column}.app-splash-header{height:52px;border-bottom:1px solid var(--border, #e5e5e5);display:flex;align-items:center;padding:0 20px;gap:12px}.app-splash-messages{flex:1;display:flex;flex-direction:column;gap:20px;padding:24px 20px;max-width:700px;width:100%;margin:0 auto}.app-splash-msg{display:flex;gap:10px;opacity:0;animation:skel-fade-in .4s ease forwards}.app-splash-msg.right{justify-content:flex-end}.app-splash-msg-avatar{width:28px;height:28px;flex-shrink:0}.app-splash-msg-body{display:flex;flex-direction:column;gap:6px;max-width:70%}.app-splash-msg-line{height:14px;border-radius:6px}.app-splash-input{height:54px;border-top:1px solid var(--border, #e5e5e5);display:flex;align-items:center;padding:0 20px;gap:10px}.app-splash-input-box{flex:1;height:36px;border-radius:20px}.app-splash-input-btn{width:36px;height:36px}@media(max-width:768px){.app-splash-sidebar{display:none}}.android-safe-area-backdrop{position:fixed;bottom:0;left:0;right:0;height:var(--safe-area-inset-bottom, env(safe-area-inset-bottom, 0px));backdrop-filter:blur(20px) saturate(1.2);-webkit-backdrop-filter:blur(20px) saturate(1.2);pointer-events:none;z-index:var(--z-android-safe-area-backdrop)}
