/*! tailwindcss v4.3.3 | MIT License | https://tailwindcss.com */
@layer properties{@supports (((-webkit-hyphens:none)) and (not (margin-trim:inline))) or ((-moz-orient:inline) and (not (color:rgb(from red r g b)))){*,:before,:after,::backdrop{--tw-blur:initial;--tw-brightness:initial;--tw-contrast:initial;--tw-grayscale:initial;--tw-hue-rotate:initial;--tw-invert:initial;--tw-opacity:initial;--tw-saturate:initial;--tw-sepia:initial;--tw-drop-shadow:initial;--tw-drop-shadow-color:initial;--tw-drop-shadow-alpha:100%;--tw-drop-shadow-size:initial}}}@layer theme{:root,:host{--font-sans:-apple-system, BlinkMacSystemFont, "Segoe UI", Roboto, "Helvetica Neue", "Noto Sans", Arial, sans-serif, "Apple Color Emoji", "Segoe UI Emoji", "Segoe UI Symbol", "Noto Color Emoji";--font-mono:ui-monospace, SFMono-Regular, Menlo, Monaco, Consolas, "Liberation Mono", "Courier New", monospace;--spacing:.25rem;--default-font-family:var(--font-sans);--default-mono-font-family:var(--font-mono)}}@layer base{*,:after,:before,::backdrop{box-sizing:border-box;border:0 solid;margin:0;padding:0}::file-selector-button{box-sizing:border-box;border:0 solid;margin:0;padding:0}html,:host{-webkit-text-size-adjust:100%;tab-size:4;line-height:1.5;font-family:var(--default-font-family,-apple-system, BlinkMacSystemFont, "Segoe UI", Roboto, "Helvetica Neue", "Noto Sans", Arial, sans-serif, "Apple Color Emoji", "Segoe UI Emoji", "Segoe UI Symbol", "Noto Color Emoji");font-feature-settings:var(--default-font-feature-settings,normal);font-variation-settings:var(--default-font-variation-settings,normal);-webkit-tap-highlight-color:transparent}hr{height:0;color:inherit;border-top-width:1px}abbr:where([title]){text-decoration:underline dotted}h1,h2,h3,h4,h5,h6{font-size:inherit;font-weight:inherit}a{color:inherit;-webkit-text-decoration:inherit;-webkit-text-decoration:inherit;-webkit-text-decoration:inherit;text-decoration:inherit}b,strong{font-weight:bolder}code,kbd,samp,pre{font-family:var(--default-mono-font-family,ui-monospace, SFMono-Regular, Menlo, Monaco, Consolas, "Liberation Mono", "Courier New", monospace);font-feature-settings:var(--default-mono-font-feature-settings,normal);font-variation-settings:var(--default-mono-font-variation-settings,normal);font-size:1em}small{font-size:80%}sub,sup{vertical-align:baseline;font-size:75%;line-height:0;position:relative}sub{bottom:-.25em}sup{top:-.5em}table{text-indent:0;border-color:inherit;border-collapse:collapse}:-moz-focusring:where(:not(iframe)){outline:auto}progress{vertical-align:baseline}summary{display:list-item}ol,ul,menu{list-style:none}img,svg,video,canvas,audio,iframe,embed,object{vertical-align:middle;display:block}img,video{max-width:100%;height:auto}button,input,select,optgroup,textarea{font:inherit;font-feature-settings:inherit;font-variation-settings:inherit;letter-spacing:inherit;color:inherit;opacity:1;background-color:#0000;border-radius:0}::file-selector-button{font:inherit;font-feature-settings:inherit;font-variation-settings:inherit;letter-spacing:inherit;color:inherit;opacity:1;background-color:#0000;border-radius:0}:where(select:is([multiple],[size])) optgroup{font-weight:bolder}:where(select:is([multiple],[size])) optgroup option{padding-inline-start:20px}::file-selector-button{margin-inline-end:4px}::placeholder{opacity:1}@supports (not ((-webkit-appearance:-apple-pay-button))) or (contain-intrinsic-size:1px){::placeholder{color:currentColor}@supports (color:color-mix(in lab, red, red)){::placeholder{color:color-mix(in oklab, currentcolor 50%, transparent)}}}textarea{resize:vertical}::-webkit-search-decoration{-webkit-appearance:none}::-webkit-date-and-time-value{min-height:1lh;text-align:inherit}::-webkit-datetime-edit{display:inline-flex}::-webkit-datetime-edit-fields-wrapper{padding:0}::-webkit-datetime-edit{padding-block:0}::-webkit-datetime-edit-year-field{padding-block:0}::-webkit-datetime-edit-month-field{padding-block:0}::-webkit-datetime-edit-day-field{padding-block:0}::-webkit-datetime-edit-hour-field{padding-block:0}::-webkit-datetime-edit-minute-field{padding-block:0}::-webkit-datetime-edit-second-field{padding-block:0}::-webkit-datetime-edit-millisecond-field{padding-block:0}::-webkit-datetime-edit-meridiem-field{padding-block:0}::-webkit-calendar-picker-indicator{line-height:1}:-moz-ui-invalid{box-shadow:none}button,input:where([type=button],[type=reset],[type=submit]){appearance:button}::file-selector-button{appearance:button}::-webkit-inner-spin-button{height:auto}::-webkit-outer-spin-button{height:auto}[hidden]:where(:not([hidden=until-found])){display:none!important}}@layer components;@layer utilities{.visible{visibility:visible}.relative{position:relative}.static{position:static}.contents{display:contents}.flex{display:flex}.grid{display:grid}.hidden{display:none}.grid-cols-1{grid-template-columns:repeat(1,minmax(0,1fr))}.flex-wrap{flex-wrap:wrap}.gap-2{gap:calc(var(--spacing) * 2)}.gap-3{gap:calc(var(--spacing) * 3)}.gap-5{gap:calc(var(--spacing) * 5)}.filter{filter:var(--tw-blur,) var(--tw-brightness,) var(--tw-contrast,) var(--tw-grayscale,) var(--tw-hue-rotate,) var(--tw-invert,) var(--tw-saturate,) var(--tw-sepia,) var(--tw-drop-shadow,)}@media (width>=48rem){.md\:grid-cols-2{grid-template-columns:repeat(2,minmax(0,1fr))}}}:root{color-scheme:light;--bg:#fafafa;--surface:#fff;--text:#202326;--muted:#62676b;--subtle:#72787d;--line:#e1e4e5;--soft:#f1f3f2;--accent:#326b5d;--accent-soft:#eaf2ee;--visual-fill:#e5eae7;--font-sans:Inter, -apple-system, BlinkMacSystemFont, "Segoe UI", "Noto Sans", "PingFang SC", "Hiragino Sans GB", "Microsoft YaHei", "Noto Sans CJK SC", "Source Han Sans SC", Roboto, Arial, sans-serif;--font-mono:"SFMono-Regular", Consolas, "Liberation Mono", monospace}[data-theme=dark]{color-scheme:dark;--bg:#111315;--surface:#171a1c;--text:#eceeed;--muted:#a1a8ac;--subtle:#949ca1;--line:#2b3033;--soft:#1d2224;--accent:#8abfa9;--accent-soft:#1a2c25;--visual-fill:#29352f}@media (prefers-color-scheme:dark){:root:not([data-theme]){color-scheme:dark;--bg:#111315;--surface:#171a1c;--text:#eceeed;--muted:#a1a8ac;--subtle:#949ca1;--line:#2b3033;--soft:#1d2224;--accent:#8abfa9;--accent-soft:#1a2c25;--visual-fill:#29352f}}*{box-sizing:border-box}html{scroll-padding-top:30px}body{background:var(--bg);color:var(--text);font-family:var(--font-sans);-webkit-font-smoothing:antialiased;margin:0;font-size:15px;line-height:1.7}a{color:inherit;text-decoration:none}button{font:inherit;cursor:pointer}button,a{-webkit-tap-highlight-color:transparent}[hidden]{display:none!important}::selection{background:var(--accent-soft);color:var(--accent)}:focus-visible{outline:2px solid var(--accent);outline-offset:5px;border-radius:2px}img,svg{max-width:100%}h1,h2,h3,p{margin:0}.shell{width:min(1120px,100% - 80px);margin-inline:auto}.mono,.eyebrow{font-family:var(--font-mono)}.eyebrow{letter-spacing:.11em;color:var(--subtle);text-transform:uppercase;font-size:10px;font-weight:500;line-height:1.5}.accent-text{color:var(--accent)}.muted{color:var(--muted)}.skip-link{z-index:20;background:var(--surface);border:1px solid var(--accent);padding:8px 14px;position:fixed;top:8px;left:8px;transform:translateY(-150%)}.skip-link:focus{transform:translateY(0)}.site-header{border-bottom:1px solid var(--line)}.navbar{align-items:center;gap:28px;height:82px;display:flex}.brand{letter-spacing:-.02em;white-space:nowrap;align-items:center;gap:11px;font-weight:600;display:flex}.brand-mark{background:var(--text);width:30px;height:30px;color:var(--bg);font-size:14px;font-family:var(--font-mono);border-radius:5px;place-items:center;display:grid}.desktop-nav{color:var(--muted);align-items:center;gap:30px;margin-left:auto;font-size:13px;display:flex}.desktop-nav a,.footer-links a,.mobile-nav a{align-items:center;gap:6px;display:inline-flex}.desktop-nav a[aria-current],.desktop-nav a:hover,.mobile-nav a[aria-current]{color:var(--text)}.nav-controls{align-items:center;gap:8px;display:flex}.icon-button{width:36px;height:36px;color:var(--muted);border:1px solid var(--line);background:0 0;border-radius:6px;place-items:center;display:grid}.icon-button:hover{color:var(--text);background:var(--soft)}.theme-sun{display:none}[data-theme=dark] .theme-sun{display:block}[data-theme=dark] .theme-moon,.menu-toggle,.mobile-nav{display:none}.hero{grid-template-columns:1.35fr 1fr;align-items:center;gap:70px;padding:72px 0 76px;display:grid}.hero-kicker{align-items:center;gap:8px;margin-bottom:23px;display:flex}.accent-dot{background:var(--accent);border-radius:50%;width:5px;height:5px}.hero h1{letter-spacing:-.055em;font-size:clamp(36px,4.7vw,56px);font-weight:600;line-height:1.13}.hero-chinese{letter-spacing:-.03em;margin-bottom:10px;font-size:.72em;display:block}.name-slash{color:var(--subtle);margin-left:6px;font-weight:300}.hero-english{display:block}.hero-major{margin-top:24px;font-size:16px;font-weight:500}.hero-school{max-width:470px;color:var(--muted);margin-top:3px;font-size:13px}.hero-interests{color:var(--muted);margin-top:20px;font-size:12px}.hero-interests span{color:var(--subtle);padding:0 6px}.hero-actions{flex-wrap:wrap;gap:12px;margin-top:27px;display:flex}.button{border:1px solid var(--line);border-radius:5px;justify-content:center;align-items:center;gap:12px;min-height:40px;padding:9px 16px;font-size:12px;font-weight:500;display:inline-flex}.button-primary{color:var(--bg);background:var(--text);border-color:var(--text)}.button-primary:hover{opacity:.85}.button-secondary{color:var(--text);background:var(--surface)}.button-secondary:hover{border-color:var(--subtle)}.focus-panel{border:1px solid var(--line);background:var(--surface);border-radius:6px;position:relative}.panel-heading{border-bottom:1px solid var(--line);justify-content:space-between;align-items:center;padding:18px 22px;display:flex}.crosshair{color:var(--subtle);font:18px var(--font-mono)}.focus-row{border-bottom:1px solid var(--line);align-items:center;gap:20px;padding:22px;display:flex}.focus-row>.mono{color:var(--subtle);font-size:10px}.focus-row h2{letter-spacing:-.01em;font-size:14px;font-weight:500}.focus-row p{color:var(--muted);margin-top:3px;font-size:11px}.focus-symbol{font:20px var(--font-mono);color:var(--accent);margin-left:auto}.panel-foot{color:var(--subtle);letter-spacing:.1em;padding:14px 22px;font-size:9px}.home-section{border-top:1px solid var(--line);margin-bottom:55px;padding-top:34px}.section-heading{justify-content:space-between;align-items:center;gap:20px;margin-bottom:28px;display:flex}.section-heading h2{letter-spacing:-.035em;margin-top:8px;font-size:25px;font-weight:600;line-height:1.4}.section-heading p:not(.eyebrow){color:var(--muted);margin-top:6px;font-size:12px}.text-link,.muted-link{align-items:center;gap:8px;font-size:12px;font-weight:500;display:inline-flex}.text-link:hover{color:var(--accent)}.muted-link{color:var(--muted);font-weight:400}.muted-link:hover{color:var(--text)}.project-card{border:1px solid var(--line);background:var(--surface);border-radius:6px;min-width:0;overflow:hidden}.project-card:hover{border-color:var(--subtle)}.visual-link{display:block}.project-visual{color:var(--accent);background-color:var(--soft);background-image:radial-gradient(var(--line) .7px, transparent .7px);border-bottom:1px solid var(--line);background-size:14px 14px;height:164px;position:relative;overflow:hidden}.project-visual svg{width:100%;height:100%;padding-top:8px}.visual-label,.visual-caption{font:8px var(--font-mono);color:var(--subtle);letter-spacing:.06em;position:absolute}.visual-label{top:13px;left:19px}.visual-caption{bottom:10px;right:16px}.diagram-faint{opacity:.35}.card-content{padding:22px 24px 19px}.card-status{letter-spacing:.06em;font-size:9px}.project-card h3{letter-spacing:-.025em;margin-top:5px;font-size:19px;font-weight:600;line-height:1.4}.project-card h3 a:hover{color:var(--accent)}.project-chinese{color:var(--subtle);margin-top:3px;font-size:11px}.card-description{color:var(--muted);min-height:44px;margin-top:12px;font-size:12px;line-height:1.85}.tag-list{flex-wrap:wrap;gap:6px;margin:15px 0 0;padding:0;list-style:none;display:flex}.tag-list li,.tag{font:10px var(--font-mono);border:1px solid var(--line);color:var(--muted);border-radius:3px;padding:5px 7px}.card-links{border-top:1px solid var(--line);flex-wrap:wrap;justify-content:space-between;align-items:center;gap:12px;margin-top:21px;padding-top:16px;display:flex}.writing-list{border-top:1px solid var(--line)}.writing-row{border-bottom:1px solid var(--line);grid-template-columns:150px minmax(0,1fr) 24px;align-items:start;gap:22px;padding:25px 0;display:grid}.writing-meta{font:10px var(--font-mono);color:var(--subtle);flex-direction:column;gap:8px;padding-top:3px;display:flex}.writing-meta span{color:var(--accent)}.writing-body h3{letter-spacing:-.02em;flex-wrap:wrap;align-items:baseline;gap:9px;font-size:16px;font-weight:500;display:flex}.writing-body h3 a:hover{color:var(--accent)}.writing-body>p{color:var(--muted);margin-top:5px;font-size:12px}.writing-arrow{color:var(--subtle);padding-top:3px}.writing-arrow:hover{color:var(--accent)}.sample-label{font:9px var(--font-sans);border:1px solid var(--line);color:var(--subtle);border-radius:3px;padding:2px 5px}.writing-tags{font:10px var(--font-mono);color:var(--subtle);flex-wrap:wrap;gap:12px;margin-top:10px;display:flex}.writing-tags a:hover{color:var(--accent)}.home-about{justify-content:space-between;align-items:center;gap:20px;padding:25px 0 44px;display:flex}.home-about p{font-size:14px}.home-about p span{color:var(--muted);margin-top:4px;font-size:12px;display:block}.site-footer{border-top:1px solid var(--line);padding:32px 0 24px}.footer-top,.footer-bottom{justify-content:space-between;align-items:center;gap:20px;display:flex}.footer-name{font-size:12px;font-weight:500}.footer-name span{color:var(--muted);margin-top:4px;font-size:11px;font-weight:400;display:block}.footer-links{color:var(--muted);flex-wrap:wrap;gap:22px;font-size:11px;display:flex}.footer-links a:hover{color:var(--accent)}.footer-bottom{font:9px var(--font-mono);color:var(--subtle);margin-top:32px}.page-space{min-height:60vh;padding-top:58px;padding-bottom:70px}.page-heading{margin-bottom:35px}.page-heading h1{letter-spacing:-.045em;margin:10px 0 15px;font-size:clamp(32px,5vw,46px);font-weight:600;line-height:1.3}.page-heading>p:not(.eyebrow){color:var(--muted);font-size:14px}.archive-note{color:var(--muted);border-left:2px solid var(--line);background:var(--soft);margin-bottom:28px;padding:15px 18px;font-size:12px}.blog-filters{margin:32px 0 22px}.filter-buttons{flex-wrap:wrap;gap:8px;display:flex}.filter-buttons button{border:1px solid var(--line);background:var(--surface);color:var(--muted);border-radius:4px;padding:6px 12px;font-size:11px}.filter-buttons button[aria-pressed=true]{background:var(--text);color:var(--bg);border-color:var(--text)}.filter-status{font:10px var(--font-mono);color:var(--subtle);gap:14px;margin-top:14px;display:flex}.filter-status button{color:var(--accent)}.empty-state{text-align:center;color:var(--muted);padding:50px 0}.rss-link{color:var(--muted);margin-top:27px}.back-link{font:11px var(--font-mono);color:var(--muted)}.back-link:hover{color:var(--accent)}.detail-heading{max-width:850px;margin:32px 0}.detail-heading h1{letter-spacing:-.035em;overflow-wrap:anywhere;margin-top:12px;font-size:clamp(28px,4vw,40px);font-weight:600;line-height:1.4}.detail-heading>p:not(.eyebrow){color:var(--muted);margin-top:13px;font-size:14px}.detail-heading .detail-subtitle{color:var(--text)!important;font-size:16px!important}.sample-notice{background:var(--accent-soft);border-left:2px solid var(--accent);color:var(--muted);max-width:780px;margin:0 0 32px;padding:15px 18px;font-size:12px}.sample-notice>span{color:var(--accent);margin-bottom:5px;font-size:9px;display:block}.article-grid{grid-template-columns:minmax(0,780px) minmax(150px,1fr);align-items:start;gap:62px;display:grid}.article-main{min-width:0}.detail-visual{border:1px solid var(--line);border-radius:5px;margin-bottom:25px;overflow:hidden}.detail-visual .project-visual{border:none;height:210px}.toc{color:var(--muted);border-left:1px solid var(--line);padding-left:22px;font-size:11px;position:sticky;top:30px}.toc summary{color:var(--text);margin-bottom:15px;font-size:12px;font-weight:500}.toc ol{margin:0;padding:0;list-style:none}.toc li{margin:10px 0}.toc li.toc-sub{padding-left:12px;font-size:10px}.toc a:hover{color:var(--accent)}.toc-note{border-top:1px solid var(--line);color:var(--subtle);margin-top:28px;padding-top:20px;font-size:10px;line-height:2}.prose{overflow-wrap:anywhere;font-size:15px;line-height:1.95}.prose>:first-child{margin-top:0}.prose h2{letter-spacing:-.025em;margin:42px 0 17px;font-size:23px;font-weight:600;line-height:1.5}.prose h3{margin:27px 0 12px;font-size:18px;font-weight:500}.prose p{margin:16px 0}.prose a{color:var(--accent);text-underline-offset:3px;text-decoration:underline}.prose ul,.prose ol{margin:16px 0;padding-left:24px}.prose ul{list-style:outside}.prose ol{list-style:decimal}.prose li{margin:6px 0}.prose strong{font-weight:600}.prose blockquote{border-left:2px solid var(--accent);color:var(--muted);background:var(--soft);margin:25px 0;padding:1px 20px}.prose code{font-family:var(--font-mono);font-size:.84em}.prose :not(pre)>code{background:var(--soft);border:1px solid var(--line);border-radius:3px;padding:2px 5px}.prose pre{border:1px solid var(--line);border-radius:5px;max-width:100%;margin:24px 0;padding:22px;line-height:1.8;overflow-x:auto}.prose pre code{overflow-wrap:normal}[data-theme=dark] .astro-code,[data-theme=dark] .astro-code span{color:var(--shiki-dark)!important;background-color:var(--shiki-dark-bg)!important}@media (prefers-color-scheme:dark){:root:not([data-theme]) .astro-code,:root:not([data-theme]) .astro-code span{color:var(--shiki-dark)!important;background-color:var(--shiki-dark-bg)!important}}.prose table{border-collapse:collapse;width:100%;margin:24px 0;font-size:13px;display:block;overflow-x:auto}.prose th,.prose td{border:1px solid var(--line);text-align:left;padding:9px 15px}.prose th{background:var(--soft);font-weight:500}.prose img{border:1px solid var(--line);border-radius:5px;height:auto;margin:25px 0;display:block}.prose .katex-display{padding:8px 0;overflow:auto hidden}.prose figure{margin:24px 0}.prose figcaption{color:var(--muted);font-size:11px}.callout{background:var(--soft);border:1px solid var(--line);border-left:2px solid var(--accent);border-radius:3px;margin:22px 0;padding:16px 20px;font-size:13px}.callout strong{color:var(--accent)}.article-end{border-top:1px solid var(--line);font:10px var(--font-mono);color:var(--subtle);margin-top:50px;padding-top:30px}.article-end span{margin-inline:12px}.about-grid{grid-template-columns:minmax(0,1fr) 320px;gap:80px;display:grid}.interest-list{columns:2;color:var(--muted);font-size:13px}.profile-facts{border:1px solid var(--line);background:var(--surface);border-radius:6px;align-self:start;padding:25px}.profile-facts dl{margin:20px 0}.profile-facts dt{font:10px var(--font-mono);color:var(--subtle);margin-top:22px}.profile-facts dd{margin:6px 0 0;font-size:13px}.profile-facts dd span{color:var(--muted);margin-top:5px;font-size:11px;display:block}.profile-facts>a{margin-top:14px;display:flex}.resume-page{max-width:900px}.resume-en{color:var(--muted);font-size:.65em;font-weight:400}.print-button{margin-top:22px}.resume-section{border-top:1px solid var(--line);grid-template-columns:150px minmax(0,1fr);gap:25px;padding:26px 0;display:grid}.resume-section h2{font:11px var(--font-mono);color:var(--subtle);text-transform:uppercase}.resume-section h3{font-size:15px;font-weight:500}.resume-section p{color:var(--muted);margin-top:8px;font-size:12px}.resume-projects>div{margin-bottom:20px}.resume-projects a:hover{color:var(--accent)}.not-found{padding:90px 0 120px}.not-found h1{letter-spacing:-.06em;font-size:100px;font-weight:500;line-height:1.25}.not-found h2{margin-top:20px;font-size:22px;font-weight:500}.not-found>p:not(.eyebrow){color:var(--muted);margin-top:10px}.not-found>div{margin-top:28px}@media (width<=1000px){.hero{gap:35px}.focus-row{gap:13px;padding:19px}.focus-row h2{font-size:12px}.article-grid{grid-template-columns:minmax(0,1fr) 160px;gap:30px}.about-grid{grid-template-columns:minmax(0,1fr) 280px;gap:40px}}@media (width<=767px){.shell{width:calc(100% - 40px)}.hero{grid-template-columns:1fr;gap:32px;padding:48px 0}.hero h1{font-size:46px}.hero-school{max-width:420px}.focus-panel{max-width:100%}.focus-row{padding:16px 20px}.focus-row h2{font-size:13px}.panel-heading{padding:14px 20px}.project-visual{height:155px}.section-heading{align-items:flex-start}.section-heading>a{white-space:nowrap;margin-top:24px;font-size:11px}.section-heading h2{font-size:23px}.writing-row{grid-template-columns:minmax(0,1fr) 20px;gap:8px;padding:22px 0}.writing-meta{flex-direction:row;grid-column:1/-1;gap:16px;margin-bottom:5px}.writing-body h3{font-size:15px}.home-about{align-items:flex-start}.home-about>a{white-space:nowrap;font-size:11px}.footer-top{align-items:flex-start}.footer-links{justify-content:flex-end;gap:12px 18px;max-width:230px}.footer-bottom{align-items:flex-start;font-size:8px}.footer-bottom span:last-child{text-align:right}.page-space{padding-top:40px;padding-bottom:45px}.article-grid{flex-direction:column;gap:25px;display:flex}.article-main{width:100%}.toc{border:1px solid var(--line);border-radius:5px;order:-1;width:100%;padding:16px 20px;position:static}.toc summary{cursor:pointer;margin:0}.toc nav{margin-top:12px}.toc-note{display:none}.prose{font-size:14px}.prose h2{font-size:21px}.prose pre{padding:16px}.about-grid{flex-direction:column;gap:30px;display:flex}.profile-facts{width:100%}}@media (width<=639px){.navbar{justify-content:space-between;gap:12px;height:68px}.brand{font-size:14px}.desktop-nav{display:none}.menu-toggle{display:grid}.mobile-nav{flex-wrap:wrap;gap:25px;padding:12px 0 19px;font-size:12px;display:flex}.hero h1{font-size:42px}.hero-major{font-size:14px}.hero-school{font-size:12px}.hero-interests{font-size:11px}.hero-interests span{padding:0 3px}.card-content{padding:20px}.section-heading{gap:10px}.section-heading h2{font-size:22px}.home-section{margin-bottom:38px;padding-top:25px}.home-about{flex-direction:column;gap:16px}.footer-top{flex-direction:column;gap:22px}.footer-links{justify-content:flex-start;max-width:none}.footer-bottom{flex-direction:column;gap:8px;margin-top:24px}.footer-bottom span:last-child{text-align:left}.resume-section{grid-template-columns:1fr;gap:12px}.interest-list{columns:1}}@media (prefers-reduced-motion:reduce){html{scroll-behavior:auto}}@media print{:root,[data-theme=dark]{--bg:#fff;--text:#111;--muted:#444;--line:#ddd;--accent:#222;--surface:#fff;--soft:#f5f5f5}.site-header,.site-footer,.print-button,.skip-link{display:none!important}.shell{width:100%}.page-space{padding:0}.resume-section{break-inside:avoid}}@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 --tw-opacity{syntax:"*";inherits:false}@property --tw-saturate{syntax:"*";inherits:false}@property --tw-sepia{syntax:"*";inherits:false}@property --tw-drop-shadow{syntax:"*";inherits:false}@property --tw-drop-shadow-color{syntax:"*";inherits:false}@property --tw-drop-shadow-alpha{syntax:"<percentage>";inherits:false;initial-value:100%}@property --tw-drop-shadow-size{syntax:"*";inherits:false}@font-face{font-display:block;font-family:KaTeX_AMS;font-style:normal;font-weight:400;src:url(/_astro/KaTeX_AMS-Regular.BQhdFMY1.woff2)format("woff2"),url(/_astro/KaTeX_AMS-Regular.DMm9YOAa.woff)format("woff"),url(/_astro/KaTeX_AMS-Regular.DRggAlZN.ttf)format("truetype")}@font-face{font-display:block;font-family:KaTeX_Caligraphic;font-style:normal;font-weight:700;src:url(/_astro/KaTeX_Caligraphic-Bold.Dq_IR9rO.woff2)format("woff2"),url(/_astro/KaTeX_Caligraphic-Bold.BEiXGLvX.woff)format("woff"),url(/_astro/KaTeX_Caligraphic-Bold.ATXxdsX0.ttf)format("truetype")}@font-face{font-display:block;font-family:KaTeX_Caligraphic;font-style:normal;font-weight:400;src:url(/_astro/KaTeX_Caligraphic-Regular.Di6jR-x-.woff2)format("woff2"),url(/_astro/KaTeX_Caligraphic-Regular.CTRA-rTL.woff)format("woff"),url(/_astro/KaTeX_Caligraphic-Regular.wX97UBjC.ttf)format("truetype")}@font-face{font-display:block;font-family:KaTeX_Fraktur;font-style:normal;font-weight:700;src:url(/_astro/KaTeX_Fraktur-Bold.CL6g_b3V.woff2)format("woff2"),url(/_astro/KaTeX_Fraktur-Bold.BsDP51OF.woff)format("woff"),url(/_astro/KaTeX_Fraktur-Bold.BdnERNNW.ttf)format("truetype")}@font-face{font-display:block;font-family:KaTeX_Fraktur;font-style:normal;font-weight:400;src:url(/_astro/KaTeX_Fraktur-Regular.CTYiF6lA.woff2)format("woff2"),url(/_astro/KaTeX_Fraktur-Regular.Dxdc4cR9.woff)format("woff"),url(/_astro/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(/_astro/KaTeX_Main-Bold.Cx986IdX.woff2)format("woff2"),url(/_astro/KaTeX_Main-Bold.Jm3AIy58.woff)format("woff"),url(/_astro/KaTeX_Main-Bold.waoOVXN0.ttf)format("truetype")}@font-face{font-display:block;font-family:KaTeX_Main;font-style:italic;font-weight:700;src:url(/_astro/KaTeX_Main-BoldItalic.DxDJ3AOS.woff2)format("woff2"),url(/_astro/KaTeX_Main-BoldItalic.SpSLRI95.woff)format("woff"),url(/_astro/KaTeX_Main-BoldItalic.DzxPMmG6.ttf)format("truetype")}@font-face{font-display:block;font-family:KaTeX_Main;font-style:italic;font-weight:400;src:url(/_astro/KaTeX_Main-Italic.NWA7e6Wa.woff2)format("woff2"),url(/_astro/KaTeX_Main-Italic.BMLOBm91.woff)format("woff"),url(/_astro/KaTeX_Main-Italic.3WenGoN9.ttf)format("truetype")}@font-face{font-display:block;font-family:KaTeX_Main;font-style:normal;font-weight:400;src:url(/_astro/KaTeX_Main-Regular.B22Nviop.woff2)format("woff2"),url(/_astro/KaTeX_Main-Regular.Dr94JaBh.woff)format("woff"),url(/_astro/KaTeX_Main-Regular.ypZvNtVU.ttf)format("truetype")}@font-face{font-display:block;font-family:KaTeX_Math;font-style:italic;font-weight:700;src:url(/_astro/KaTeX_Math-BoldItalic.CZnvNsCZ.woff2)format("woff2"),url(/_astro/KaTeX_Math-BoldItalic.iY-2wyZ7.woff)format("woff"),url(/_astro/KaTeX_Math-BoldItalic.B3XSjfu4.ttf)format("truetype")}@font-face{font-display:block;font-family:KaTeX_Math;font-style:italic;font-weight:400;src:url(/_astro/KaTeX_Math-Italic.t53AETM-.woff2)format("woff2"),url(/_astro/KaTeX_Math-Italic.DA0__PXp.woff)format("woff"),url(/_astro/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(/_astro/KaTeX_SansSerif-Bold.D1sUS0GD.woff2)format("woff2"),url(/_astro/KaTeX_SansSerif-Bold.DbIhKOiC.woff)format("woff"),url(/_astro/KaTeX_SansSerif-Bold.CFMepnvq.ttf)format("truetype")}@font-face{font-display:block;font-family:KaTeX_SansSerif;font-style:italic;font-weight:400;src:url(/_astro/KaTeX_SansSerif-Italic.C3H0VqGB.woff2)format("woff2"),url(/_astro/KaTeX_SansSerif-Italic.DN2j7dab.woff)format("woff"),url(/_astro/KaTeX_SansSerif-Italic.YYjJ1zSn.ttf)format("truetype")}@font-face{font-display:block;font-family:KaTeX_SansSerif;font-style:normal;font-weight:400;src:url(/_astro/KaTeX_SansSerif-Regular.DDBCnlJ7.woff2)format("woff2"),url(/_astro/KaTeX_SansSerif-Regular.CS6fqUqJ.woff)format("woff"),url(/_astro/KaTeX_SansSerif-Regular.BNo7hRIc.ttf)format("truetype")}@font-face{font-display:block;font-family:KaTeX_Script;font-style:normal;font-weight:400;src:url(/_astro/KaTeX_Script-Regular.D3wIWfF6.woff2)format("woff2"),url(/_astro/KaTeX_Script-Regular.D5yQViql.woff)format("woff"),url(/_astro/KaTeX_Script-Regular.C5JkGWo-.ttf)format("truetype")}@font-face{font-display:block;font-family:KaTeX_Size1;font-style:normal;font-weight:400;src:url(/_astro/KaTeX_Size1-Regular.mCD8mA8B.woff2)format("woff2"),url(/_astro/KaTeX_Size1-Regular.C195tn64.woff)format("woff"),url(/_astro/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(/_astro/KaTeX_Size2-Regular.Dy4dx90m.woff2)format("woff2"),url(/_astro/KaTeX_Size2-Regular.oD1tc_U0.woff)format("woff"),url(/_astro/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(/_astro/KaTeX_Size3-Regular.CTq5MqoE.woff)format("woff"),url(/_astro/KaTeX_Size3-Regular.DgpXs0kz.ttf)format("truetype")}@font-face{font-display:block;font-family:KaTeX_Size4;font-style:normal;font-weight:400;src:url(/_astro/KaTeX_Size4-Regular.Dl5lxZxV.woff2)format("woff2"),url(/_astro/KaTeX_Size4-Regular.BF-4gkZK.woff)format("woff"),url(/_astro/KaTeX_Size4-Regular.DWFBv043.ttf)format("truetype")}@font-face{font-display:block;font-family:KaTeX_Typewriter;font-style:normal;font-weight:400;src:url(/_astro/KaTeX_Typewriter-Regular.CO6r4hn1.woff2)format("woff2"),url(/_astro/KaTeX_Typewriter-Regular.C0xS9mPB.woff)format("woff"),url(/_astro/KaTeX_Typewriter-Regular.D3Ib7_Hf.ttf)format("truetype")}.katex{text-indent:0;text-rendering:auto;font:1.21em/1.2 KaTeX_Main,Times New Roman,serif;position:relative}.katex *{border-color:currentColor;-ms-high-contrast-adjust:none!important}.katex .katex-version:after{content:"0.16.47"}.katex .katex-mathml{-webkit-clip-path:inset(50%);clip-path:inset(50%);border:0;width:1px;height:1px;padding:0;position:absolute;overflow:hidden}.katex .katex-html>.newline{display:block}.katex .base{white-space:nowrap;width:min-content;position:relative}.katex .base,.katex .strut{display:inline-block}.katex .textbf{font-weight:700}.katex .textit{font-style:italic}.katex .textrm{font-family:KaTeX_Main}.katex .textsf{font-family:KaTeX_SansSerif}.katex .texttt{font-family:KaTeX_Typewriter}.katex .mathnormal{font-family:KaTeX_Math;font-style:italic}.katex .mathit{font-family:KaTeX_Main;font-style:italic}.katex .mathrm{font-style:normal}.katex .mathbf{font-family:KaTeX_Main;font-weight:700}.katex .boldsymbol{font-family:KaTeX_Math;font-style:italic;font-weight:700}.katex .amsrm,.katex .mathbb,.katex .textbb{font-family:KaTeX_AMS}.katex .mathcal{font-family:KaTeX_Caligraphic}.katex .mathfrak,.katex .textfrak{font-family:KaTeX_Fraktur}.katex .mathboldfrak,.katex .textboldfrak{font-family:KaTeX_Fraktur;font-weight:700}.katex .mathtt{font-family:KaTeX_Typewriter}.katex .mathscr,.katex .textscr{font-family:KaTeX_Script}.katex .mathsf,.katex .textsf{font-family:KaTeX_SansSerif}.katex .mathboldsf,.katex .textboldsf{font-family:KaTeX_SansSerif;font-weight:700}.katex .mathitsf,.katex .mathsfit,.katex .textitsf{font-family:KaTeX_SansSerif;font-style:italic}.katex .mainrm{font-family:KaTeX_Main;font-style:normal}.katex .vlist-t{border-collapse:collapse;table-layout:fixed;display:inline-table}.katex .vlist-r{display:table-row}.katex .vlist{vertical-align:bottom;display:table-cell;position:relative}.katex .vlist>span{height:0;display:block;position:relative}.katex .vlist>span>span{display:inline-block}.katex .vlist>span>.pstrut{width:0;overflow:hidden}.katex .vlist-t2{margin-right:-2px}.katex .vlist-s{vertical-align:bottom;width:2px;min-width:2px;font-size:1px;display:table-cell}.katex .vbox{flex-direction:column;align-items:baseline;display:inline-flex}.katex .hbox{width:100%}.katex .hbox,.katex .thinbox{flex-direction:row;display:inline-flex}.katex .thinbox{width:0;max-width:0}.katex .msupsub{text-align:left}.katex .mfrac>span>span{text-align:center}.katex .mfrac .frac-line{border-bottom-style:solid;width:100%;display:inline-block}.katex .hdashline,.katex .hline,.katex .mfrac .frac-line,.katex .overline .overline-line,.katex .rule,.katex .underline .underline-line{min-height:1px}.katex .mspace{display:inline-block}.katex .smash{line-height:0;display:inline}.katex .clap,.katex .llap,.katex .rlap{width:0;position:relative}.katex .clap>.inner,.katex .llap>.inner,.katex .rlap>.inner{position:absolute}.katex .clap>.fix,.katex .llap>.fix,.katex .rlap>.fix{display:inline-block}.katex .llap>.inner{right:0}.katex .clap>.inner,.katex .rlap>.inner{left:0}.katex .clap>.inner>span{margin-left:-50%;margin-right:50%}.katex .rule{border:0 solid;display:inline-block;position:relative}.katex .hline,.katex .overline .overline-line,.katex .underline .underline-line{border-bottom-style:solid;width:100%;display:inline-block}.katex .hdashline{border-bottom-style:dashed;width:100%;display:inline-block}.katex .sqrt>.root{margin-left:.277778em;margin-right:-.555556em}.katex .fontsize-ensurer.reset-size1.size1,.katex .sizing.reset-size1.size1{font-size:1em}.katex .fontsize-ensurer.reset-size1.size2,.katex .sizing.reset-size1.size2{font-size:1.2em}.katex .fontsize-ensurer.reset-size1.size3,.katex .sizing.reset-size1.size3{font-size:1.4em}.katex .fontsize-ensurer.reset-size1.size4,.katex .sizing.reset-size1.size4{font-size:1.6em}.katex .fontsize-ensurer.reset-size1.size5,.katex .sizing.reset-size1.size5{font-size:1.8em}.katex .fontsize-ensurer.reset-size1.size6,.katex .sizing.reset-size1.size6{font-size:2em}.katex .fontsize-ensurer.reset-size1.size7,.katex .sizing.reset-size1.size7{font-size:2.4em}.katex .fontsize-ensurer.reset-size1.size8,.katex .sizing.reset-size1.size8{font-size:2.88em}.katex .fontsize-ensurer.reset-size1.size9,.katex .sizing.reset-size1.size9{font-size:3.456em}.katex .fontsize-ensurer.reset-size1.size10,.katex .sizing.reset-size1.size10{font-size:4.148em}.katex .fontsize-ensurer.reset-size1.size11,.katex .sizing.reset-size1.size11{font-size:4.976em}.katex .fontsize-ensurer.reset-size2.size1,.katex .sizing.reset-size2.size1{font-size:.833333em}.katex .fontsize-ensurer.reset-size2.size2,.katex .sizing.reset-size2.size2{font-size:1em}.katex .fontsize-ensurer.reset-size2.size3,.katex .sizing.reset-size2.size3{font-size:1.16667em}.katex .fontsize-ensurer.reset-size2.size4,.katex .sizing.reset-size2.size4{font-size:1.33333em}.katex .fontsize-ensurer.reset-size2.size5,.katex .sizing.reset-size2.size5{font-size:1.5em}.katex .fontsize-ensurer.reset-size2.size6,.katex .sizing.reset-size2.size6{font-size:1.66667em}.katex .fontsize-ensurer.reset-size2.size7,.katex .sizing.reset-size2.size7{font-size:2em}.katex .fontsize-ensurer.reset-size2.size8,.katex .sizing.reset-size2.size8{font-size:2.4em}.katex .fontsize-ensurer.reset-size2.size9,.katex .sizing.reset-size2.size9{font-size:2.88em}.katex .fontsize-ensurer.reset-size2.size10,.katex .sizing.reset-size2.size10{font-size:3.45667em}.katex .fontsize-ensurer.reset-size2.size11,.katex .sizing.reset-size2.size11{font-size:4.14667em}.katex .fontsize-ensurer.reset-size3.size1,.katex .sizing.reset-size3.size1{font-size:.714286em}.katex .fontsize-ensurer.reset-size3.size2,.katex .sizing.reset-size3.size2{font-size:.857143em}.katex .fontsize-ensurer.reset-size3.size3,.katex .sizing.reset-size3.size3{font-size:1em}.katex .fontsize-ensurer.reset-size3.size4,.katex .sizing.reset-size3.size4{font-size:1.14286em}.katex .fontsize-ensurer.reset-size3.size5,.katex .sizing.reset-size3.size5{font-size:1.28571em}.katex .fontsize-ensurer.reset-size3.size6,.katex .sizing.reset-size3.size6{font-size:1.42857em}.katex .fontsize-ensurer.reset-size3.size7,.katex .sizing.reset-size3.size7{font-size:1.71429em}.katex .fontsize-ensurer.reset-size3.size8,.katex .sizing.reset-size3.size8{font-size:2.05714em}.katex .fontsize-ensurer.reset-size3.size9,.katex .sizing.reset-size3.size9{font-size:2.46857em}.katex .fontsize-ensurer.reset-size3.size10,.katex .sizing.reset-size3.size10{font-size:2.96286em}.katex .fontsize-ensurer.reset-size3.size11,.katex .sizing.reset-size3.size11{font-size:3.55429em}.katex .fontsize-ensurer.reset-size4.size1,.katex .sizing.reset-size4.size1{font-size:.625em}.katex .fontsize-ensurer.reset-size4.size2,.katex .sizing.reset-size4.size2{font-size:.75em}.katex .fontsize-ensurer.reset-size4.size3,.katex .sizing.reset-size4.size3{font-size:.875em}.katex .fontsize-ensurer.reset-size4.size4,.katex .sizing.reset-size4.size4{font-size:1em}.katex .fontsize-ensurer.reset-size4.size5,.katex .sizing.reset-size4.size5{font-size:1.125em}.katex .fontsize-ensurer.reset-size4.size6,.katex .sizing.reset-size4.size6{font-size:1.25em}.katex .fontsize-ensurer.reset-size4.size7,.katex .sizing.reset-size4.size7{font-size:1.5em}.katex .fontsize-ensurer.reset-size4.size8,.katex .sizing.reset-size4.size8{font-size:1.8em}.katex .fontsize-ensurer.reset-size4.size9,.katex .sizing.reset-size4.size9{font-size:2.16em}.katex .fontsize-ensurer.reset-size4.size10,.katex .sizing.reset-size4.size10{font-size:2.5925em}.katex .fontsize-ensurer.reset-size4.size11,.katex .sizing.reset-size4.size11{font-size:3.11em}.katex .fontsize-ensurer.reset-size5.size1,.katex .sizing.reset-size5.size1{font-size:.555556em}.katex .fontsize-ensurer.reset-size5.size2,.katex .sizing.reset-size5.size2{font-size:.666667em}.katex .fontsize-ensurer.reset-size5.size3,.katex .sizing.reset-size5.size3{font-size:.777778em}.katex .fontsize-ensurer.reset-size5.size4,.katex .sizing.reset-size5.size4{font-size:.888889em}.katex .fontsize-ensurer.reset-size5.size5,.katex .sizing.reset-size5.size5{font-size:1em}.katex .fontsize-ensurer.reset-size5.size6,.katex .sizing.reset-size5.size6{font-size:1.11111em}.katex .fontsize-ensurer.reset-size5.size7,.katex .sizing.reset-size5.size7{font-size:1.33333em}.katex .fontsize-ensurer.reset-size5.size8,.katex .sizing.reset-size5.size8{font-size:1.6em}.katex .fontsize-ensurer.reset-size5.size9,.katex .sizing.reset-size5.size9{font-size:1.92em}.katex .fontsize-ensurer.reset-size5.size10,.katex .sizing.reset-size5.size10{font-size:2.30444em}.katex .fontsize-ensurer.reset-size5.size11,.katex .sizing.reset-size5.size11{font-size:2.76444em}.katex .fontsize-ensurer.reset-size6.size1,.katex .sizing.reset-size6.size1{font-size:.5em}.katex .fontsize-ensurer.reset-size6.size2,.katex .sizing.reset-size6.size2{font-size:.6em}.katex .fontsize-ensurer.reset-size6.size3,.katex .sizing.reset-size6.size3{font-size:.7em}.katex .fontsize-ensurer.reset-size6.size4,.katex .sizing.reset-size6.size4{font-size:.8em}.katex .fontsize-ensurer.reset-size6.size5,.katex .sizing.reset-size6.size5{font-size:.9em}.katex .fontsize-ensurer.reset-size6.size6,.katex .sizing.reset-size6.size6{font-size:1em}.katex .fontsize-ensurer.reset-size6.size7,.katex .sizing.reset-size6.size7{font-size:1.2em}.katex .fontsize-ensurer.reset-size6.size8,.katex .sizing.reset-size6.size8{font-size:1.44em}.katex .fontsize-ensurer.reset-size6.size9,.katex .sizing.reset-size6.size9{font-size:1.728em}.katex .fontsize-ensurer.reset-size6.size10,.katex .sizing.reset-size6.size10{font-size:2.074em}.katex .fontsize-ensurer.reset-size6.size11,.katex .sizing.reset-size6.size11{font-size:2.488em}.katex .fontsize-ensurer.reset-size7.size1,.katex .sizing.reset-size7.size1{font-size:.416667em}.katex .fontsize-ensurer.reset-size7.size2,.katex .sizing.reset-size7.size2{font-size:.5em}.katex .fontsize-ensurer.reset-size7.size3,.katex .sizing.reset-size7.size3{font-size:.583333em}.katex .fontsize-ensurer.reset-size7.size4,.katex .sizing.reset-size7.size4{font-size:.666667em}.katex .fontsize-ensurer.reset-size7.size5,.katex .sizing.reset-size7.size5{font-size:.75em}.katex .fontsize-ensurer.reset-size7.size6,.katex .sizing.reset-size7.size6{font-size:.833333em}.katex .fontsize-ensurer.reset-size7.size7,.katex .sizing.reset-size7.size7{font-size:1em}.katex .fontsize-ensurer.reset-size7.size8,.katex .sizing.reset-size7.size8{font-size:1.2em}.katex .fontsize-ensurer.reset-size7.size9,.katex .sizing.reset-size7.size9{font-size:1.44em}.katex .fontsize-ensurer.reset-size7.size10,.katex .sizing.reset-size7.size10{font-size:1.72833em}.katex .fontsize-ensurer.reset-size7.size11,.katex .sizing.reset-size7.size11{font-size:2.07333em}.katex .fontsize-ensurer.reset-size8.size1,.katex .sizing.reset-size8.size1{font-size:.347222em}.katex .fontsize-ensurer.reset-size8.size2,.katex .sizing.reset-size8.size2{font-size:.416667em}.katex .fontsize-ensurer.reset-size8.size3,.katex .sizing.reset-size8.size3{font-size:.486111em}.katex .fontsize-ensurer.reset-size8.size4,.katex .sizing.reset-size8.size4{font-size:.555556em}.katex .fontsize-ensurer.reset-size8.size5,.katex .sizing.reset-size8.size5{font-size:.625em}.katex .fontsize-ensurer.reset-size8.size6,.katex .sizing.reset-size8.size6{font-size:.694444em}.katex .fontsize-ensurer.reset-size8.size7,.katex .sizing.reset-size8.size7{font-size:.833333em}.katex .fontsize-ensurer.reset-size8.size8,.katex .sizing.reset-size8.size8{font-size:1em}.katex .fontsize-ensurer.reset-size8.size9,.katex .sizing.reset-size8.size9{font-size:1.2em}.katex .fontsize-ensurer.reset-size8.size10,.katex .sizing.reset-size8.size10{font-size:1.44028em}.katex .fontsize-ensurer.reset-size8.size11,.katex .sizing.reset-size8.size11{font-size:1.72778em}.katex .fontsize-ensurer.reset-size9.size1,.katex .sizing.reset-size9.size1{font-size:.289352em}.katex .fontsize-ensurer.reset-size9.size2,.katex .sizing.reset-size9.size2{font-size:.347222em}.katex .fontsize-ensurer.reset-size9.size3,.katex .sizing.reset-size9.size3{font-size:.405093em}.katex .fontsize-ensurer.reset-size9.size4,.katex .sizing.reset-size9.size4{font-size:.462963em}.katex .fontsize-ensurer.reset-size9.size5,.katex .sizing.reset-size9.size5{font-size:.520833em}.katex .fontsize-ensurer.reset-size9.size6,.katex .sizing.reset-size9.size6{font-size:.578704em}.katex .fontsize-ensurer.reset-size9.size7,.katex .sizing.reset-size9.size7{font-size:.694444em}.katex .fontsize-ensurer.reset-size9.size8,.katex .sizing.reset-size9.size8{font-size:.833333em}.katex .fontsize-ensurer.reset-size9.size9,.katex .sizing.reset-size9.size9{font-size:1em}.katex .fontsize-ensurer.reset-size9.size10,.katex .sizing.reset-size9.size10{font-size:1.20023em}.katex .fontsize-ensurer.reset-size9.size11,.katex .sizing.reset-size9.size11{font-size:1.43981em}.katex .fontsize-ensurer.reset-size10.size1,.katex .sizing.reset-size10.size1{font-size:.24108em}.katex .fontsize-ensurer.reset-size10.size2,.katex .sizing.reset-size10.size2{font-size:.289296em}.katex .fontsize-ensurer.reset-size10.size3,.katex .sizing.reset-size10.size3{font-size:.337512em}.katex .fontsize-ensurer.reset-size10.size4,.katex .sizing.reset-size10.size4{font-size:.385728em}.katex .fontsize-ensurer.reset-size10.size5,.katex .sizing.reset-size10.size5{font-size:.433944em}.katex .fontsize-ensurer.reset-size10.size6,.katex .sizing.reset-size10.size6{font-size:.48216em}.katex .fontsize-ensurer.reset-size10.size7,.katex .sizing.reset-size10.size7{font-size:.578592em}.katex .fontsize-ensurer.reset-size10.size8,.katex .sizing.reset-size10.size8{font-size:.694311em}.katex .fontsize-ensurer.reset-size10.size9,.katex .sizing.reset-size10.size9{font-size:.833173em}.katex .fontsize-ensurer.reset-size10.size10,.katex .sizing.reset-size10.size10{font-size:1em}.katex .fontsize-ensurer.reset-size10.size11,.katex .sizing.reset-size10.size11{font-size:1.19961em}.katex .fontsize-ensurer.reset-size11.size1,.katex .sizing.reset-size11.size1{font-size:.200965em}.katex .fontsize-ensurer.reset-size11.size2,.katex .sizing.reset-size11.size2{font-size:.241158em}.katex .fontsize-ensurer.reset-size11.size3,.katex .sizing.reset-size11.size3{font-size:.281351em}.katex .fontsize-ensurer.reset-size11.size4,.katex .sizing.reset-size11.size4{font-size:.321543em}.katex .fontsize-ensurer.reset-size11.size5,.katex .sizing.reset-size11.size5{font-size:.361736em}.katex .fontsize-ensurer.reset-size11.size6,.katex .sizing.reset-size11.size6{font-size:.401929em}.katex .fontsize-ensurer.reset-size11.size7,.katex .sizing.reset-size11.size7{font-size:.482315em}.katex .fontsize-ensurer.reset-size11.size8,.katex .sizing.reset-size11.size8{font-size:.578778em}.katex .fontsize-ensurer.reset-size11.size9,.katex .sizing.reset-size11.size9{font-size:.694534em}.katex .fontsize-ensurer.reset-size11.size10,.katex .sizing.reset-size11.size10{font-size:.833601em}.katex .fontsize-ensurer.reset-size11.size11,.katex .sizing.reset-size11.size11{font-size:1em}.katex .delimsizing.size1{font-family:KaTeX_Size1}.katex .delimsizing.size2{font-family:KaTeX_Size2}.katex .delimsizing.size3{font-family:KaTeX_Size3}.katex .delimsizing.size4{font-family:KaTeX_Size4}.katex .delimsizing.mult .delim-size1>span{font-family:KaTeX_Size1}.katex .delimsizing.mult .delim-size4>span{font-family:KaTeX_Size4}.katex .nulldelimiter{width:.12em;display:inline-block}.katex .delimcenter,.katex .op-symbol{position:relative}.katex .op-symbol.small-op{font-family:KaTeX_Size1}.katex .op-symbol.large-op{font-family:KaTeX_Size2}.katex .accent>.vlist-t,.katex .op-limits>.vlist-t{text-align:center}.katex .accent .accent-body{position:relative}.katex .accent .accent-body:not(.accent-full){width:0}.katex .overlay{display:block}.katex .mtable .vertical-separator{min-width:1px;display:inline-block}.katex .mtable .arraycolsep{display:inline-block}.katex .mtable .col-align-c>.vlist-t{text-align:center}.katex .mtable .col-align-l>.vlist-t{text-align:left}.katex .mtable .col-align-r>.vlist-t{text-align:right}.katex .svg-align{text-align:left}.katex svg{fill:currentColor;stroke:currentColor;height:inherit;width:100%;display:block;position:absolute}.katex svg path{stroke:none}.katex svg{fill-rule:nonzero;fill-opacity:1;stroke-width:1px;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:4;stroke-dasharray:none;stroke-dashoffset:0;stroke-opacity:1}.katex img{border-style:none;min-width:0;max-width:none;min-height:0;max-height:none}.katex .stretchy{width:100%;display:block;position:relative;overflow:hidden}.katex .stretchy:after,.katex .stretchy:before{content:""}.katex .hide-tail{width:100%;position:relative;overflow:hidden}.katex .halfarrow-left{width:50.2%;position:absolute;left:0;overflow:hidden}.katex .halfarrow-right{width:50.2%;position:absolute;right:0;overflow:hidden}.katex .brace-left{width:25.1%;position:absolute;left:0;overflow:hidden}.katex .brace-center{width:50%;position:absolute;left:25%;overflow:hidden}.katex .brace-right{width:25.1%;position:absolute;right:0;overflow:hidden}.katex .x-arrow-pad{padding:0 .5em}.katex .cd-arrow-pad{padding:0 .55556em 0 .27778em}.katex .mover,.katex .munder,.katex .x-arrow{text-align:center}.katex .boxpad{padding:0 .3em}.katex .fbox,.katex .fcolorbox{box-sizing:border-box;border:.04em solid}.katex .cancel-pad{padding:0 .2em}.katex .cancel-lap{margin-left:-.2em;margin-right:-.2em}.katex .sout{border-bottom-style:solid;border-bottom-width:.08em}.katex .angl{box-sizing:border-box;border-top:.049em solid;border-right:.049em solid;margin-right:.03889em}.katex .anglpad{padding:0 .03889em}.katex .eqn-num:before{content:"(" counter(katexEqnNo) ")";counter-increment:katexEqnNo}.katex .mml-eqn-num:before{content:"(" counter(mmlEqnNo) ")";counter-increment:mmlEqnNo}.katex .mtr-glue{width:50%}.katex .cd-vert-arrow{display:inline-block;position:relative}.katex .cd-label-left{text-align:left;display:inline-block;position:absolute;right:calc(50% + .3em)}.katex .cd-label-right{text-align:right;display:inline-block;position:absolute;left:calc(50% + .3em)}.katex-display{text-align:center;margin:1em 0;display:block}.katex-display>.katex{text-align:center;white-space:nowrap;display:block}.katex-display>.katex>.katex-html{display:block;position:relative}.katex-display>.katex>.katex-html>.tag{position:absolute;right:0}.katex-display.leqno>.katex>.katex-html>.tag{left:0;right:auto}.katex-display.fleqn>.katex{text-align:left;padding-left:2em}body{counter-reset:katexEqnNo mmlEqnNo}
