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*){text-decoration-line:underline}}}@media (min-width:96rem){.\32xl\:block{display:block}.\32xl\:hidden{display:none}}:where(.rtl\:space-x-reverse:where(:dir(rtl),[dir=rtl],[dir=rtl] *)>:not(:last-child)){--tw-space-x-reverse:1}:where(.dark\:divide-gray-700:where([data-mode=dark],[data-mode=dark] *)>:not(:last-child)),.dark\:border-gray-700:where([data-mode=dark],[data-mode=dark] *){border-color:var(--color-gray-700)}.dark\:border-indigo-400:where([data-mode=dark],[data-mode=dark] *){border-color:var(--color-indigo-400)}.dark\:bg-fuchsia-700:where([data-mode=dark],[data-mode=dark] *){background-color:var(--color-fuchsia-700)}.dark\:bg-gray-700:where([data-mode=dark],[data-mode=dark] *){background-color:var(--color-gray-700)}.dark\:bg-gray-800:where([data-mode=dark],[data-mode=dark] *){background-color:var(--color-gray-800)}.dark\:bg-gray-900:where([data-mode=dark],[data-mode=dark] *){background-color:var(--color-gray-900)}.dark\:bg-indigo-600:where([data-mode=dark],[data-mode=dark] 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*){--tw-gradient-to:var(--color-gray-900);--tw-gradient-stops:var(--tw-gradient-via-stops,var(--tw-gradient-position),var(--tw-gradient-from)var(--tw-gradient-from-position),var(--tw-gradient-to)var(--tw-gradient-to-position))}.dark\:text-blue-400:where([data-mode=dark],[data-mode=dark] *){color:var(--color-blue-400)}.dark\:text-gray-100:where([data-mode=dark],[data-mode=dark] *){color:var(--color-gray-100)}.dark\:text-gray-200:where([data-mode=dark],[data-mode=dark] *){color:var(--color-gray-200)}.dark\:text-gray-300:where([data-mode=dark],[data-mode=dark] *){color:var(--color-gray-300)}.dark\:text-gray-400:where([data-mode=dark],[data-mode=dark] *){color:var(--color-gray-400)}.dark\:text-indigo-200:where([data-mode=dark],[data-mode=dark] *){color:var(--color-indigo-200)}.dark\:text-red-400:where([data-mode=dark],[data-mode=dark] *){color:var(--color-red-400)}.dark\:text-white:where([data-mode=dark],[data-mode=dark] *){color:var(--color-white)}.dark\:text-yellow-200:where([data-mode=dark],[data-mode=dark] *){color:var(--color-yellow-200)}.dark\:prose-invert:where([data-mode=dark],[data-mode=dark] *){--tw-prose-body:var(--tw-prose-invert-body);--tw-prose-headings:var(--tw-prose-invert-headings);--tw-prose-lead:var(--tw-prose-invert-lead);--tw-prose-links:var(--tw-prose-invert-links);--tw-prose-bold:var(--tw-prose-invert-bold);--tw-prose-counters:var(--tw-prose-invert-counters);--tw-prose-bullets:var(--tw-prose-invert-bullets);--tw-prose-hr:var(--tw-prose-invert-hr);--tw-prose-quotes:var(--tw-prose-invert-quotes);--tw-prose-quote-borders:var(--tw-prose-invert-quote-borders);--tw-prose-captions:var(--tw-prose-invert-captions);--tw-prose-kbd:var(--tw-prose-invert-kbd);--tw-prose-kbd-shadows:var(--tw-prose-invert-kbd-shadows);--tw-prose-code:var(--tw-prose-invert-code);--tw-prose-pre-code:var(--tw-prose-invert-pre-code);--tw-prose-pre-bg:var(--tw-prose-invert-pre-bg);--tw-prose-th-borders:var(--tw-prose-invert-th-borders);--tw-prose-td-borders:var(--tw-prose-invert-td-borders)}.dark\:tabler--sun:where([data-mode=dark],[data-mode=dark] *){--svg:url("data:image/svg+xml,%3Csvg xmlns='http://www.w3.org/2000/svg' viewBox='0 0 24 24' width='24' height='24'%3E%3Cpath fill='none' stroke='black' stroke-linecap='round' stroke-linejoin='round' stroke-width='2' d='M8 12a4 4 0 1 0 8 0a4 4 0 1 0-8 0m-5 0h1m8-9v1m8 8h1m-9 8v1M5.6 5.6l.7.7m12.1-.7l-.7.7m0 11.4l.7.7m-12.1-.7l-.7.7'/%3E%3C/svg%3E")}.dark\:odd\:bg-gray-900:where([data-mode=dark],[data-mode=dark] *):nth-child(odd){background-color:var(--color-gray-900)}.dark\:even\:bg-gray-950:where([data-mode=dark],[data-mode=dark] *):nth-child(2n){background-color:var(--color-gray-950)}@media (hover:hover){.dark\:hover\:border-gray-600:where([data-mode=dark],[data-mode=dark] *):hover{border-color:var(--color-gray-600)}.dark\:hover\:bg-gray-600:where([data-mode=dark],[data-mode=dark] *):hover{background-color:var(--color-gray-600)}.dark\:hover\:bg-gray-700:where([data-mode=dark],[data-mode=dark] *):hover{background-color:var(--color-gray-700)}.dark\:hover\:bg-gray-800:where([data-mode=dark],[data-mode=dark] *):hover{background-color:var(--color-gray-800)}.dark\:hover\:text-white:where([data-mode=dark],[data-mode=dark] *):hover{color:var(--color-white)}}.prose-h1\:text-4xl :where(h1):not(:where([class~=not-prose],[class~=not-prose] *)){font-size:var(--text-4xl);line-height:var(--tw-leading,var(--text-4xl--line-height))}@media (min-width:40rem){.sm\:prose-h1\:text-5xl :where(h1):not(:where([class~=not-prose],[class~=not-prose] *)){font-size:var(--text-5xl);line-height:var(--tw-leading,var(--text-5xl--line-height))}}.prose-em\:pr-\[2px\] :where(em):not(:where([class~=not-prose],[class~=not-prose] *)){padding-right:2px}.prose-code\:before\:\!content-none :where(code):not(:where([class~=not-prose],[class~=not-prose] *)):before,.prose-code\:after\:\!content-none :where(code):not(:where([class~=not-prose],[class~=not-prose] *)):after{content:var(--tw-content);--tw-content:none!important;content:none!important}}.astro-code{border-color:rgb(var(--accent));border-width:0 1px 1px;border-top-left-radius:0;border-top-right-radius:0;margin-top:0}html[data-mode=dark] .astro-code,html[data-mode=dark] .astro-code span{color:var(--shiki-dark)!important;background-color:var(--shiki-dark-bg)!important;font-style:var(--shiki-dark-font-style)!important;font-weight:var(--shiki-dark-font-weight)!important;-webkit-text-decoration:var(--shiki-dark-text-decoration)!important;text-decoration:var(--shiki-dark-text-decoration)!important}body{background-color:var(--color-bg);--tw-leading:var(--leading-relaxed);font-family:IBM Plex Sans,ui-sans-serif;line-height:var(--leading-relaxed);color:var(--color-text)}.container{width:100%;max-width:var(--container-7xl);padding-inline:calc(var(--spacing)*4);margin-inline:auto}.main-content{margin-top:calc(var(--spacing)*10);margin-bottom:calc(var(--spacing)*20)}.navbar{top:calc(var(--spacing)*0);z-index:100;background-color:rgb(var(--accent-bg));--tw-shadow:0 4px 6px -1px var(--tw-shadow-color,#0000001a),0 2px 4px -2px var(--tw-shadow-color,#0000001a);width:100%;box-shadow:var(--tw-inset-shadow),var(--tw-inset-ring-shadow),var(--tw-ring-offset-shadow),var(--tw-ring-shadow),var(--tw-shadow);position:fixed}.navbar .container{padding-block:calc(var(--spacing)*4);justify-content:space-between;align-items:center;display:flex}.navbar nav{align-items:center;gap:calc(var(--spacing)*6)}.navbar a{font-size:var(--text-sm);line-height:var(--tw-leading,var(--text-sm--line-height));--tw-font-weight:var(--font-weight-medium);font-weight:var(--font-weight-medium);color:var(--color-text);transition-property:color,background-color,border-color,outline-color,text-decoration-color,fill,stroke,--tw-gradient-from,--tw-gradient-via,--tw-gradient-to,opacity,box-shadow,transform,translate,scale,rotate,filter,-webkit-backdrop-filter,backdrop-filter;transition-timing-function:var(--tw-ease,var(--default-transition-timing-function));transition-duration:var(--tw-duration,var(--default-transition-duration))}.navbar a:hover{color:var(--color-muted)}.primary-button{background-color:var(--color-primary);padding-inline:calc(var(--spacing)*4);padding-block:calc(var(--spacing)*2);font-size:var(--text-sm);line-height:var(--tw-leading,var(--text-sm--line-height));--tw-font-weight:var(--font-weight-semibold);font-weight:var(--font-weight-semibold);color:var(--color-bg);transition-property:color,background-color,border-color,outline-color,text-decoration-color,fill,stroke,--tw-gradient-from,--tw-gradient-via,--tw-gradient-to,opacity,box-shadow,transform,translate,scale,rotate,filter,-webkit-backdrop-filter,backdrop-filter;transition-timing-function:var(--tw-ease,var(--default-transition-timing-function));transition-duration:var(--tw-duration,var(--default-transition-duration));border-radius:3.40282e38px}@media (hover:hover){.primary-button:hover{background-color:var(--color-gray-300)}}.content-columns{gap:calc(var(--spacing)*8);flex-direction:column;display:flex}@media (min-width:48rem){.content-columns{flex-direction:row}}.content-main{flex:1}.content-sidebar{flex-shrink:0;width:100%}@media (min-width:48rem){.content-sidebar{width:calc(var(--spacing)*80)}}.home-section{margin-bottom:calc(var(--spacing)*16)}.section-title{margin-bottom:calc(var(--spacing)*8);text-align:center;font-size:var(--text-2xl);line-height:var(--tw-leading,var(--text-2xl--line-height));--tw-font-weight:var(--font-weight-bold);font-weight:var(--font-weight-bold);color:var(--color-text)}.hero-banner{--tw-gradient-position:to bottom in oklab;background-image:linear-gradient(var(--tw-gradient-stops));flex-direction:column;justify-content:flex-start;align-items:center;height:100vh;padding-top:110px;display:flex}.search-form{margin-top:calc(var(--spacing)*6);justify-content:center;display:flex}.search-form button{background:rgb(var(--accent));height:2.5rem;color:rgb(var(--accent-bg));border-radius:0 9999px 9999px 0;padding:.5rem 1.5rem;font-weight:500}.search-form 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span{background-color:var(--color-gray-700);padding-inline:calc(var(--spacing)*3);padding-block:calc(var(--spacing)*1);font-size:var(--text-sm);line-height:var(--tw-leading,var(--text-sm--line-height));color:var(--color-white);transition-property:color,background-color,border-color,outline-color,text-decoration-color,fill,stroke,--tw-gradient-from,--tw-gradient-via,--tw-gradient-to,opacity,box-shadow,transform,translate,scale,rotate,filter,-webkit-backdrop-filter,backdrop-filter;transition-timing-function:var(--tw-ease,var(--default-transition-timing-function));transition-duration:var(--tw-duration,var(--default-transition-duration));border-radius:3.40282e38px}@media (hover:hover){.tags span:hover{--tw-scale-x:110%;--tw-scale-y:110%;--tw-scale-z:110%;scale:var(--tw-scale-x)var(--tw-scale-y)}}.ad-banner{max-width:1200px;padding-inline:calc(var(--spacing)*4);margin-inline:auto}.ad-cards{justify-content:center;gap:calc(var(--spacing)*6);flex-wrap:wrap;display:flex}.ad-card{border-radius:var(--radius-lg);border-style:var(--tw-border-style);border-width:1px;border-color:var(--color-muted);background-color:var(--color-bg);--tw-shadow:0 1px 3px 0 var(--tw-shadow-color,#0000001a),0 1px 2px -1px var(--tw-shadow-color,#0000001a);box-shadow:var(--tw-inset-shadow),var(--tw-inset-ring-shadow),var(--tw-ring-offset-shadow),var(--tw-ring-shadow),var(--tw-shadow);transition-property:all;transition-timing-function:var(--tw-ease,var(--default-transition-timing-function));transition-duration:var(--tw-duration,var(--default-transition-duration));--tw-duration:.3s;text-decoration:none;transition-duration:.3s}@media (hover:hover){.ad-card:hover{--tw-translate-y:calc(var(--spacing)*-2);translate:var(--tw-translate-x)var(--tw-translate-y);--tw-shadow:0 10px 15px -3px var(--tw-shadow-color,#0000001a),0 4px 6px -4px var(--tw-shadow-color,#0000001a);box-shadow:var(--tw-inset-shadow),var(--tw-inset-ring-shadow),var(--tw-ring-offset-shadow),var(--tw-ring-shadow),var(--tw-shadow)}}.ad-text{text-align:left}.video-slider{gap:calc(var(--spacing)*4);padding-block:calc(var(--spacing)*6);white-space:nowrap;display:flex;overflow-x:auto}.slide-item{width:calc(var(--spacing)*64);flex-shrink:0;display:inline-block}.footer{background-color:var(--color-bg);padding-block:calc(var(--spacing)*6);text-align:center;color:var(--color-muted)}a.primary{background-color:rgba(var(--accent),.1)}@media (hover:hover){.navbar a.primary:hover{color:var(--accent);font-weight:700}}.search-div{background-color:#00000080}.search-div>div{color:#000;background:#fff;border-radius:.5rem;padding:1.5rem;box-shadow:0 10px 25px #0003}button.clschbt{font-size:1.5rem;top:2rem;right:2px}.search-div-inner{position:absolute;top:10vh}.pagefind-ui__results{max-height:50vh;overflow-y:scroll}.swiper-wrapper{padding-block:10px}.toc a{transition:all .3s}.toc .current{transition:border-left .3s}.toc .current>a{font-weight:700;text-decoration:underline!important}.primary-button{background-color:var(--color-blue-600);padding-inline:calc(var(--spacing)*4);padding-block:calc(var(--spacing)*2);--tw-font-weight:var(--font-weight-medium);font-weight:var(--font-weight-medium);color:var(--color-white);border-radius:.25rem}@media (hover:hover){.primary-button:hover{background-color:var(--color-blue-700)}}#menu-btn.open .menu-line:first-child{top:50%;transform:translateY(-50%)rotate(45deg)}#menu-btn.open .menu-line:nth-child(2){opacity:0}#menu-btn.open .menu-line:nth-child(3){top:50%;transform:translateY(-50%)rotate(-45deg)}.katex-display>.katex{white-space:nowrap}.katex-display{white-space:normal;word-break:break-word;padding:.5rem 0;font-size:1rem;overflow-x:auto}.katex{white-space:normal;word-break:break-word;font-size:1rem}@media (max-width:768px){.katex{font-size:.85rem}.katex-display{font-size:.95rem}}.katex .mord{display:inline-block}.katex{overflow-wrap:break-word}.katex-html{word-break:break-word;white-space:normal!important}.prose table{font-size:.8rem}@media (max-width:768px){.prose table{font-size:.75rem}}.navbar .vip-link{color:#e91e63;background-color:#e91e631a;border:1px solid #e91e63;border-radius:6px;padding:4px 8px;font-weight:700;transition:all .3s}.navbar .vip-link:hover{color:#fff;background-color:#e91e63}@property --tw-border-style{syntax:"*";inherits:false;initial-value:solid}@property --tw-translate-x{syntax:"*";inherits:false;initial-value:0}@property --tw-translate-y{syntax:"*";inherits:false;initial-value:0}@property --tw-translate-z{syntax:"*";inherits:false;initial-value:0}@property --tw-rotate-x{syntax:"*";inherits:false}@property --tw-rotate-y{syntax:"*";inherits:false}@property --tw-rotate-z{syntax:"*";inherits:false}@property --tw-skew-x{syntax:"*";inherits:false}@property --tw-skew-y{syntax:"*";inherits:false}@property --tw-duration{syntax:"*";inherits:false}@property --tw-ease{syntax:"*";inherits:false}@property --tw-space-y-reverse{syntax:"*";inherits:false;initial-value:0}@property --tw-space-x-reverse{syntax:"*";inherits:false;initial-value:0}@property --tw-divide-y-reverse{syntax:"*";inherits:false;initial-value:0}@property --tw-gradient-position{syntax:"*";inherits:false}@property --tw-gradient-from{syntax:"<color>";inherits:false;initial-value:#0000}@property --tw-gradient-via{syntax:"<color>";inherits:false;initial-value:#0000}@property --tw-gradient-to{syntax:"<color>";inherits:false;initial-value:#0000}@property 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--tw-inset-shadow-alpha{syntax:"<percentage>";inherits:false;initial-value:100%}@property --tw-ring-color{syntax:"*";inherits:false}@property --tw-ring-shadow{syntax:"*";inherits:false;initial-value:0 0 #0000}@property --tw-inset-ring-color{syntax:"*";inherits:false}@property --tw-inset-ring-shadow{syntax:"*";inherits:false;initial-value:0 0 #0000}@property --tw-ring-inset{syntax:"*";inherits:false}@property --tw-ring-offset-width{syntax:"<length>";inherits:false;initial-value:0}@property --tw-ring-offset-color{syntax:"*";inherits:false;initial-value:#fff}@property --tw-ring-offset-shadow{syntax:"*";inherits:false;initial-value:0 0 #0000}@property --tw-blur{syntax:"*";inherits:false}@property --tw-brightness{syntax:"*";inherits:false}@property --tw-contrast{syntax:"*";inherits:false}@property --tw-grayscale{syntax:"*";inherits:false}@property --tw-hue-rotate{syntax:"*";inherits:false}@property --tw-invert{syntax:"*";inherits:false}@property 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