:root{--bg:#f7f8fc;--surface:#fff;--surface-2:#f0f2f7;--text:#16181d;--muted:#626875;--border:#e1e4ea;--primary:#6757e8;--primary-hover:#5848d7;--success:#168a5b;--warning:#b86900;--error:#d14343;--shadow:0 10px 28px #181d3012;--lightningcss-light:initial;--lightningcss-dark: ;color-scheme:light}[data-theme=dark]{--bg:#101116;--surface:#181a21;--surface-2:#20232c;--text:#f5f6f8;--muted:#a7acb8;--border:#303440;--primary:#8a7cf2;--primary-hover:#9b8ff8;--success:#36b981;--warning:#e3a83d;--error:#f16e6e;--shadow:0 12px 32px #0000003d;--lightningcss-light: ;--lightningcss-dark:initial;color-scheme:dark}@media (prefers-color-scheme:dark){:root:not([data-theme=light]){--bg:#101116;--surface:#181a21;--surface-2:#20232c;--text:#f5f6f8;--muted:#a7acb8;--border:#303440;--primary:#8a7cf2;--primary-hover:#9b8ff8;--success:#36b981;--warning:#e3a83d;--error:#f16e6e;--shadow:0 12px 32px #0000003d;--lightningcss-light: ;--lightningcss-dark:initial;color-scheme:dark}}*{box-sizing:border-box}html{scroll-behavior:smooth;background:var(--bg)}body{background:var(--bg);color:var(--text);margin:0;font-family:Inter,ui-sans-serif,system-ui,-apple-system,BlinkMacSystemFont,Segoe UI,sans-serif;font-size:15px;line-height:1.58;overflow-x:hidden}a{color:inherit;text-decoration:none}button,input,select{font:inherit}button,select{cursor:pointer}button:focus-visible,a:focus-visible,input:focus-visible,select:focus-visible,summary:focus-visible,math-field:focus-visible{outline:3px solid color-mix(in srgb, var(--primary) 35%, transparent);outline-offset:2px}h1,h2,h3,p{margin-top:0}h1{letter-spacing:-.035em;margin-bottom:12px;font-size:clamp(1.8rem,4vw,2.55rem);font-weight:700;line-height:1.15}h2{letter-spacing:-.02em;font-size:clamp(1.25rem,2.2vw,1.62rem);font-weight:650;line-height:1.25}p{color:var(--muted)}.sr-only{clip:rect(0,0,0,0);white-space:nowrap;border:0;width:1px;height:1px;margin:-1px;padding:0;overflow:hidden;position:absolute!important}.skip-link{z-index:200;background:var(--text);color:var(--bg);border-radius:8px;padding:10px 15px;position:fixed;top:-80px;left:16px}.skip-link:focus{top:12px}.site-header{z-index:100;border-bottom:1px solid var(--border);background:color-mix(in srgb, var(--surface) 92%, transparent);-webkit-backdrop-filter:blur(12px);backdrop-filter:blur(12px);height:64px;position:sticky;top:0}.header-inner{align-items:center;gap:28px;max-width:1200px;height:100%;margin:0 auto;padding:0 28px;display:flex}.brand{white-space:nowrap;align-items:center;gap:9px;font-size:17px;font-weight:700;display:inline-flex}.brand-mark{background:var(--primary);color:#fff;border-radius:10px;place-items:center;width:34px;height:34px;display:grid}.desktop-nav{align-items:center;gap:22px;margin-right:auto;display:flex}.desktop-nav>a,.calculator-menu>summary{color:var(--muted);font-weight:550;transition:color .15s}.desktop-nav>a:hover,.calculator-menu>summary:hover{color:var(--text)}.calculator-menu{position:relative}.calculator-menu>summary{cursor:pointer;align-items:center;gap:4px;list-style:none;display:flex}.calculator-menu>summary::-webkit-details-marker{display:none}.menu-popover{background:var(--surface);border:1px solid var(--border);width:min(820px,100vw - 48px);max-height:calc(100vh - 92px);box-shadow:var(--shadow);border-radius:14px;grid-template-columns:1fr 1fr;gap:18px;padding:17px;display:grid;position:absolute;top:calc(100% + 15px);left:-120px;overflow-y:auto}.menu-popover>div{flex-direction:column;gap:3px;display:flex}.menu-popover strong,.menu-label{text-transform:uppercase;letter-spacing:.055em;color:var(--muted);margin:0 0 5px;font-size:12px}.menu-popover a{border-radius:8px;align-items:center;gap:9px;padding:8px 9px;font-size:13px;line-height:1.3;display:flex}.menu-popover a:hover{background:var(--surface-2);color:var(--primary)}.menu-icon{background:var(--surface-2);width:30px;height:30px;color:var(--primary);border-radius:8px;flex:0 0 30px;place-items:center;display:grid}.header-actions,.mobile-actions{align-items:center;gap:8px;display:flex}.language-control,.theme-control{border:1px solid var(--border);background:var(--surface);border-radius:9px;align-items:center;gap:6px;height:38px;padding:0 8px;display:flex}.language-control select,.theme-control select{color:var(--text);background:0 0;border:0;outline:0;max-width:115px}.theme-control select{width:70px}.mobile-actions{margin-left:auto;display:none}.icon-button{width:38px;height:38px;color:var(--text);border:1px solid var(--border);background:0 0;border-radius:9px;place-items:center;padding:0;display:inline-grid}.drawer-backdrop{z-index:150;background:#07080c8c;position:fixed;inset:0}.mobile-drawer{background:var(--surface);flex-direction:column;gap:3px;width:min(88vw,360px);padding:20px;display:flex;position:absolute;top:0;bottom:0;right:0;overflow-y:auto;box-shadow:-12px 0 32px #0003}.drawer-head{justify-content:space-between;align-items:center;margin-bottom:17px;display:flex}.mobile-drawer>a{border-radius:8px;align-items:center;gap:9px;padding:10px;display:flex}.mobile-drawer>a:hover{background:var(--surface-2)}.mobile-drawer .menu-label{margin-top:17px;padding:0 10px}.drawer-controls{border-top:1px solid var(--border);margin-top:20px;padding-top:18px}.site-main{width:min(1200px,100% - 48px);min-height:70vh;margin:0 auto;padding:34px 0 68px}.page-intro{max-width:780px;margin:0 0 22px}.page-intro p{margin-bottom:0;font-size:17px}.home-intro{margin-bottom:18px}.breadcrumbs{color:var(--muted);align-items:center;gap:8px;margin:-8px 0 22px;font-size:13px;display:flex}.breadcrumbs a:hover{color:var(--primary)}.calculator-shell{background:var(--surface);border:1px solid var(--border);box-shadow:var(--shadow);border-radius:16px;margin-bottom:42px;overflow:hidden}.calculator-grid{grid-template-columns:minmax(0,1fr) minmax(0,1fr);display:grid}.calculator-form{border-right:1px solid var(--border);padding:22px}.result-panel{background:color-mix(in srgb, var(--surface-2) 52%, var(--surface));min-width:0;position:relative}.field{min-width:108px}.field-label{color:var(--text);margin:0 0 6px;font-size:13px;font-weight:600;display:block}input,select{border:1px solid var(--border);background:var(--surface);width:100%;min-width:0;height:42px;color:var(--text);border-radius:9px;padding:0 11px}.calculator-tool-label{border:1px solid var(--border);background:var(--surface-2);border-radius:10px;align-items:center;gap:10px;margin-bottom:15px;padding:10px 11px;display:flex}.calculator-tool-label>span{color:#fff;background:var(--primary);border-radius:9px;place-items:center;width:36px;height:36px;display:grid}.calculator-tool-label div{flex-direction:column;min-width:0;display:flex}.calculator-tool-label small{color:var(--muted);text-transform:uppercase;letter-spacing:.06em;font-size:10px}.calculator-tool-label strong{white-space:nowrap;text-overflow:ellipsis;font-size:14px;overflow:hidden}.math-input-wrap{border:1px solid var(--border);background:var(--surface);border-radius:11px;transition:border-color .15s,box-shadow .15s;overflow:hidden}.math-input-wrap:focus-within{border-color:var(--primary);box-shadow:0 0 0 3px color-mix(in srgb, var(--primary) 14%, transparent)}math-field,.plain-math-input{background:var(--surface);width:100%;min-height:82px;color:var(--text);--caret-color:var(--primary);--selection-background-color:color-mix(in srgb, var(--primary) 24%, transparent);border:0;padding:16px;font-size:25px;display:block;overflow-x:auto}.plain-math-input{border-radius:0;height:82px}.math-toolbar{border-top:1px solid var(--border);background:var(--surface-2);justify-content:flex-end;align-items:center;gap:3px;height:40px;padding:4px 6px;display:flex}.math-toolbar button{width:32px;height:31px;color:var(--muted);background:0 0;border:0;border-radius:7px;place-items:center;display:grid}.math-toolbar button:hover{background:var(--surface);color:var(--primary)}.control-row{grid-template-columns:repeat(4,minmax(0,1fr));gap:11px;margin-top:15px;display:grid}.control-row .field:first-child:last-child{grid-column:span 1}.example-area{margin-top:16px}.example-area>span{color:var(--muted);margin-bottom:7px;font-size:12px;font-weight:600;display:block}.chips{flex-wrap:wrap;gap:6px;display:flex}.chips button{border:1px solid var(--border);background:var(--surface-2);height:31px;color:var(--text);border-radius:8px;padding:0 10px;font-family:ui-monospace,SFMono-Regular,Menlo,monospace;font-size:12px}.chips button:hover{border-color:var(--primary);color:var(--primary)}.primary-button{background:var(--primary);color:#fff;border:0;border-radius:9px;justify-content:center;align-items:center;height:44px;padding:0 18px;font-weight:650;display:inline-flex}.primary-button:hover{background:var(--primary-hover)}.primary-button:disabled{opacity:.65;cursor:wait}.calculate-button{width:100%;margin-top:18px}.alert{border-radius:8px;margin-top:13px;padding:10px 12px;font-size:13px}.error-alert{color:var(--error);background:color-mix(in srgb, var(--error) 10%, transparent);border:1px solid color-mix(in srgb, var(--error) 25%, transparent)}.warning-alert{color:var(--warning);background:color-mix(in srgb, var(--warning) 9%, transparent);border:1px solid color-mix(in srgb, var(--warning) 25%, transparent)}.result-tabs{border-bottom:1px solid var(--border);background:var(--surface);gap:3px;height:50px;padding:5px;display:flex}.result-tabs button{color:var(--muted);background:0 0;border:0;border-radius:7px;flex:1;font-size:13px;font-weight:600}.result-tabs button[aria-selected=true]{background:var(--surface-2);color:var(--primary)}.tab-content{min-height:353px;padding:22px}.result-head{justify-content:space-between;align-items:center;gap:12px;display:flex}.result-head h2{margin:0;font-size:15px}.verification{background:color-mix(in srgb, var(--warning) 10%, transparent);color:var(--warning);border-radius:999px;align-items:center;gap:5px;padding:5px 8px;font-size:11px;font-weight:650;display:inline-flex}.verification.is-verified{color:var(--success);background:color-mix(in srgb, var(--success) 11%, transparent)}.formula-scroll{scrollbar-width:thin;max-width:100%;padding:18px 2px 14px;overflow:auto hidden}.formula-scroll .katex-display{text-align:left;margin:0}.formula-scroll .katex-display>.katex{text-align:left;font-size:1.28em}.decimal-result{background:var(--surface);border:1px solid var(--border);border-radius:8px;justify-content:space-between;gap:16px;margin-top:10px;padding:11px 12px;display:flex}.decimal-result span{color:var(--muted);font-size:13px}.result-actions{border-top:1px solid var(--border);flex-wrap:wrap;gap:7px;margin-top:17px;padding-top:14px;display:flex}.result-actions button,.section-head button{border:1px solid var(--border);height:34px;color:var(--text);background:var(--surface);border-radius:8px;align-items:center;gap:6px;padding:0 10px;font-size:12px;display:inline-flex}.result-placeholder{text-align:center;place-content:center;justify-items:center;min-height:400px;padding:24px;display:grid}.result-placeholder span{background:color-mix(in srgb, var(--primary) 12%, transparent);width:64px;height:64px;color:var(--primary);border-radius:18px;place-items:center;font:38px Georgia,serif;display:grid}.result-placeholder p{max-width:330px;margin:13px 0 0}.result-skeleton{min-height:400px;padding:24px}.result-skeleton i{background:linear-gradient(90deg, var(--surface-2), var(--border), var(--surface-2));background-size:200% 100%;border-radius:7px;height:21px;margin-bottom:16px;animation:1.2s infinite pulse;display:block}.result-skeleton i:nth-child(2){height:70px}.result-skeleton i:nth-child(3){width:65%}@keyframes pulse{to{background-position:-200% 0}}.steps-list{margin:0;padding-left:24px}.steps-list li{border-bottom:1px solid var(--border);margin-bottom:15px;padding:0 0 15px 5px}.steps-list strong{font-size:13px}.steps-list .formula-scroll{padding:8px 0 0}.empty-state{text-align:center;color:var(--muted);margin:0;padding:26px}.toast{background:var(--text);color:var(--bg);box-shadow:var(--shadow);border-radius:8px;padding:9px 12px;font-size:12px;position:absolute;bottom:16px;right:16px}.graph-wrap{width:100%;overflow:hidden}.graph-wrap svg{background:var(--surface);border:1px solid var(--border);border-radius:10px;width:100%;height:300px;display:block}.grid-lines line{stroke:var(--border);stroke-width:1px}.axis-line{stroke:var(--muted);stroke-width:1.4px}.plot-line{fill:none;stroke-linecap:round;stroke-linejoin:round;stroke-width:2.3px}.plot-0{stroke:var(--primary)}.plot-1{stroke:var(--success)}.integral-area{fill:color-mix(in srgb, var(--primary) 22%, transparent);stroke:none}.graph-legend{color:var(--muted);gap:18px;margin-top:10px;font-size:12px;display:flex}.graph-legend span{align-items:center;gap:6px;display:inline-flex}.graph-legend i{border-radius:2px;width:16px;height:3px}.legend-one{background:var(--primary)}.legend-two{background:var(--success)}.history-panel{border-top:1px solid var(--border);padding:18px 22px}.section-head{justify-content:space-between;align-items:center;gap:10px;display:flex}.section-head h2{margin:0;font-size:15px}.history-panel ul{grid-template-columns:1fr 1fr;gap:7px;margin:12px 0 0;padding:0;list-style:none;display:grid}.history-panel li{border:1px solid var(--border);background:var(--surface-2);border-radius:9px;align-items:center;min-width:0;padding:6px;display:flex}.history-main{text-align:left;min-width:0;color:var(--text);background:0 0;border:0;flex:1;padding:2px 6px}.history-main code,.history-main span{white-space:nowrap;text-overflow:ellipsis;display:block;overflow:hidden}.history-main span{color:var(--muted);margin-top:2px;font-size:11px}.history-panel .icon-button{border:0;width:30px;height:30px}.content-section{margin:44px 0}.content-section>p{max-width:760px}.directory-grid{grid-template-columns:repeat(3,1fr);gap:10px;display:grid}.directory-grid a{border:1px solid var(--border);background:var(--surface);border-radius:12px;grid-template-columns:42px 1fr auto;align-items:center;gap:10px;min-height:84px;padding:14px;transition:border-color .15s,transform .15s;display:grid}.directory-grid a:hover{border-color:var(--primary);transform:translateY(-2px)}.directory-grid a>span{background:color-mix(in srgb, var(--primary) 10%, transparent);width:40px;height:40px;color:var(--primary);border-radius:10px;place-items:center;font:20px Georgia,serif;display:grid}.directory-grid strong{font-size:14px}.directory-grid small{color:var(--primary);font-size:18px}.info-grid{grid-template-columns:repeat(3,1fr);gap:12px;margin:44px 0;display:grid}.info-grid section,.article-grid section{border:1px solid var(--border);background:var(--surface);border-radius:12px;padding:19px}.info-grid h2,.article-grid h2{margin-bottom:7px;font-size:16px}.info-grid p,.article-grid p{margin:0;font-size:14px}.faq-list{grid-template-columns:repeat(3,1fr);gap:10px;display:grid}.faq-list details{border:1px solid var(--border);background:var(--surface);border-radius:11px;padding:15px}.faq-list summary{cursor:pointer;font-weight:650;line-height:1.4}.faq-list p{margin:10px 0 0;font-size:13px}.article-grid{grid-template-columns:1fr 1fr;gap:11px;margin:44px 0;display:grid}.tool-page-intro{align-items:flex-start;gap:15px;max-width:860px;margin-bottom:22px;display:flex}.tool-page-intro h1{margin:2px 0 9px}.tool-page-intro p{margin:0;font-size:16px}.tool-title-icon{background:color-mix(in srgb, var(--primary) 12%, var(--surface));width:54px;height:54px;color:var(--primary);border:1px solid color-mix(in srgb, var(--primary) 20%, var(--border));border-radius:14px;flex:0 0 54px;place-items:center;display:grid}.eyebrow{color:var(--primary);letter-spacing:.08em;text-transform:uppercase;font-size:11px;font-weight:700}.tool-content{margin-top:48px}.worked-example{background:var(--text);color:var(--bg);border-radius:14px;justify-content:space-between;align-items:center;gap:24px;padding:20px 22px;display:flex}.worked-example h2{margin:5px 0 0;font-family:ui-monospace,SFMono-Regular,Menlo,monospace;font-size:20px}.worked-example>div:last-child{text-align:right}.worked-example small{opacity:.7;margin-bottom:5px;display:block}.worked-example strong{font-family:ui-monospace,SFMono-Regular,Menlo,monospace;font-size:17px}.related-links{flex-wrap:wrap;gap:8px;display:flex}.related-links a{border:1px solid var(--border);background:var(--surface);border-radius:9px;padding:9px 12px;font-size:13px}.related-links a span{color:var(--primary)}.examples-grid{grid-template-columns:repeat(3,1fr);gap:11px;display:grid}.examples-grid article{border:1px solid var(--border);background:var(--surface);border-radius:12px;flex-direction:column;gap:8px;min-width:0;padding:17px;display:flex}.example-icon{background:var(--surface-2);width:38px;height:38px;color:var(--primary);border-radius:10px;place-items:center;display:grid}.examples-grid small{color:var(--muted)}.examples-grid code{font-size:16px;overflow-x:auto}.examples-grid strong{color:var(--success)}.examples-grid a{color:var(--primary);margin-top:auto;font-size:13px;font-weight:600}.legal-page{max-width:820px;min-height:50vh;padding:24px 0}.legal-page p{white-space:pre-line;font-size:16px}.full-legal{max-width:900px}.full-legal>section{border-bottom:1px solid var(--border);padding:22px 0}.full-legal>section h2{margin-bottom:8px;font-size:18px}.full-legal>section p{margin:0;font-size:15px}.legal-updated{font-size:13px!important}.legal-summary{border-left:3px solid var(--primary);background:var(--surface);color:var(--muted);border-radius:0 10px 10px 0;margin:22px 0;padding:16px 18px}.about-values{grid-template-columns:repeat(3,1fr);gap:12px;margin-top:30px;display:grid}.about-values section{border:1px solid var(--border);background:var(--surface);border-radius:12px;padding:18px}.about-values h2{font-size:16px}.about-values p{margin:0;font-size:14px}.inline-button{margin-top:10px}.calculator-loading{border:1px solid var(--border);background:var(--surface);border-radius:16px;height:480px}.site-footer{border-top:1px solid var(--border);background:var(--surface)}.footer-grid{grid-template-columns:1.35fr 1.35fr .75fr .75fr;gap:30px;max-width:1200px;margin:0 auto;padding:30px 28px 24px;display:grid}.footer-grid>div{flex-direction:column;align-items:flex-start;gap:7px;display:flex}.footer-grid strong{margin-bottom:4px;font-size:13px}.footer-grid a{color:var(--muted);font-size:13px}.footer-grid a:hover{color:var(--primary)}.footer-bottom{border-top:1px solid var(--border);max-width:1200px;color:var(--muted);margin:0 auto;padding:15px 28px;font-size:12px}.hub-hero{max-width:850px;padding:28px 0 35px}.hero-kicker{background:color-mix(in srgb, var(--primary) 11%, transparent);color:var(--primary);letter-spacing:.08em;text-transform:uppercase;border-radius:7px;margin-bottom:13px;padding:5px 9px;font-size:11px;font-weight:700;display:inline-flex}.hub-hero h1{max-width:720px;font-size:clamp(2.15rem,5vw,3.55rem)}.hub-hero>p{max-width:770px;font-size:17px}.hub-pills{flex-wrap:wrap;gap:7px;margin-top:18px;display:flex}.hub-pills span{border:1px solid var(--border);background:var(--surface);color:var(--muted);border-radius:999px;padding:7px 10px;font-size:12px}.hub-groups{gap:20px;display:grid}.hub-group{border:1px solid var(--border);background:var(--surface);border-radius:16px;padding:22px;box-shadow:0 8px 24px #181d3009}.hub-group-head{justify-content:space-between;gap:24px;margin-bottom:18px;display:flex}.hub-group-head h2{margin:5px 0 6px}.hub-group-head p{max-width:750px;margin:0}.tool-count{background:var(--surface-2);width:42px;height:42px;color:var(--primary);border-radius:11px;flex:0 0 42px;place-items:center;font-weight:700;display:grid}.hub-tools{grid-template-columns:repeat(3,minmax(0,1fr));gap:8px;display:grid}.hub-tool-card{border:1px solid var(--border);background:var(--bg);border-radius:11px;grid-template-columns:39px minmax(0,1fr) auto;align-items:center;gap:10px;min-height:82px;padding:12px;transition:transform .15s,border-color .15s,background .15s;display:grid}.hub-tool-card:hover{border-color:var(--primary);background:var(--surface);transform:translateY(-2px)}.tool-card-icon{width:39px;height:39px;color:var(--primary);background:color-mix(in srgb, var(--primary) 10%, var(--surface));border-radius:10px;place-items:center;display:grid}.hub-tool-card>span:nth-child(2){min-width:0}.hub-tool-card strong,.hub-tool-card small{display:block}.hub-tool-card strong{font-size:13px;line-height:1.35}.hub-tool-card small{color:var(--muted);-webkit-line-clamp:2;-webkit-box-orient:vertical;margin-top:3px;font-size:11px;line-height:1.35;display:-webkit-box;overflow:hidden}.hub-tool-card b{color:var(--primary)}.trust-strip{grid-template-columns:repeat(3,1fr);gap:10px;margin:34px 0;display:grid}.trust-strip section{border-top:2px solid var(--primary);background:var(--surface);border-radius:10px;gap:12px;padding:17px;display:flex}.trust-strip svg{color:var(--primary);flex:none}.trust-strip h2{margin:0 0 5px;font-size:14px}.trust-strip p{margin:0;font-size:12px}.contact-form{border:1px solid var(--border);background:var(--surface);max-width:780px;box-shadow:var(--shadow);border-radius:16px;padding:24px}.contact-form-head{border-bottom:1px solid var(--border);align-items:center;gap:12px;margin-bottom:20px;padding-bottom:19px;display:flex}.contact-form-head>span{background:color-mix(in srgb, var(--primary) 11%, transparent);width:42px;height:42px;color:var(--primary);border-radius:11px;place-items:center;display:grid}.contact-form-head div{flex-direction:column;display:flex}.contact-form-head small{color:var(--muted);margin-top:3px}.contact-form-grid{grid-template-columns:1fr 1fr;gap:12px;display:grid}.contact-form label{margin-bottom:14px;display:block}.contact-form label>span{margin-bottom:6px;font-size:13px;font-weight:600;display:block}.contact-form textarea{resize:vertical;border:1px solid var(--border);background:var(--surface);width:100%;color:var(--text);font:inherit;border-radius:9px;padding:11px}.contact-form .primary-button{gap:7px}.form-error{color:var(--error);font-size:13px}@media (max-width:900px){.desktop-nav,.desktop-actions{display:none}.mobile-actions{display:flex}.header-inner{padding:0 22px}.mobile-actions .theme-control select{display:none}.mobile-actions .theme-control{justify-content:center;width:38px;padding:0}.calculator-grid{grid-template-columns:1fr}.calculator-form{border-right:0;border-bottom:1px solid var(--border)}.result-placeholder,.result-skeleton{min-height:290px}.directory-grid,.examples-grid,.hub-tools{grid-template-columns:1fr 1fr}.faq-list{grid-template-columns:1fr}.footer-grid{grid-template-columns:1fr 1fr}}@media (max-width:600px){.site-main{width:min(100% - 40px,1200px);padding-top:26px}.brand{font-size:15px}.brand-mark{width:32px;height:32px}.header-inner{padding:0 20px}h1{font-size:1.78rem}.page-intro p{font-size:15px}.calculator-form,.tab-content{padding:17px}.control-row{grid-template-columns:1fr 1fr}.control-row .field:first-child:last-child{grid-column:span 2}math-field,.plain-math-input{height:74px;min-height:74px;padding:13px;font-size:21px}.result-tabs{overflow-x:auto}.result-tabs button{min-width:90px}.result-head{flex-direction:column;align-items:flex-start}.result-actions button{flex:45%;justify-content:center}.graph-wrap svg{height:260px}.history-panel ul,.directory-grid,.examples-grid,.info-grid,.article-grid,.hub-tools,.trust-strip,.about-values{grid-template-columns:1fr}.worked-example{flex-direction:column;align-items:flex-start}.worked-example>div:last-child{text-align:left}.contact-form-grid{grid-template-columns:1fr}.history-panel{padding:16px 17px}.section-head{flex-direction:column;align-items:flex-start}.directory-grid a{min-height:72px}.content-section{margin:36px 0}.footer-grid{grid-template-columns:1fr 1fr;padding:26px 20px}.footer-bottom{padding:14px 20px}}@media (max-width:360px){.site-main{width:calc(100% - 36px)}.header-inner{padding:0 18px}.brand>span:last-child{display:none}.calculator-form,.tab-content{padding:15px}.control-row{grid-template-columns:1fr}.control-row .field:first-child:last-child{grid-column:auto}.result-actions button{flex-basis:100%}}@media (prefers-reduced-motion:reduce){*,:before,:after{scroll-behavior:auto!important;transition-duration:.01ms!important;animation-duration:.01ms!important}}
@font-face{font-display:block;font-family:KaTeX_AMS;font-style:normal;font-weight:400;src:url(../media/KaTeX_AMS-Regular.25ieegmnh38ts.woff2)format("woff2"),url(../media/KaTeX_AMS-Regular.10y3kupq4t663.woff)format("woff"),url(../media/KaTeX_AMS-Regular.418dr7cz3fo2x.ttf)format("truetype")}@font-face{font-display:block;font-family:KaTeX_Caligraphic;font-style:normal;font-weight:700;src:url(../media/KaTeX_Caligraphic-Bold.06b-ya9t43ioz.woff2)format("woff2"),url(../media/KaTeX_Caligraphic-Bold.2vmk2hva4ctha.woff)format("woff"),url(../media/KaTeX_Caligraphic-Bold.40ltxhe834pns.ttf)format("truetype")}@font-face{font-display:block;font-family:KaTeX_Caligraphic;font-style:normal;font-weight:400;src:url(../media/KaTeX_Caligraphic-Regular.2eph4dlhid_m9.woff2)format("woff2"),url(../media/KaTeX_Caligraphic-Regular.3gxeetazf831f.woff)format("woff"),url(../media/KaTeX_Caligraphic-Regular.07-7u27-nhn_r.ttf)format("truetype")}@font-face{font-display:block;font-family:KaTeX_Fraktur;font-style:normal;font-weight:700;src:url(../media/KaTeX_Fraktur-Bold.2sasz-d-jtw8y.woff2)format("woff2"),url(../media/KaTeX_Fraktur-Bold.1alcy76__wdj2.woff)format("woff"),url(../media/KaTeX_Fraktur-Bold.19yqa_tc9d_gx.ttf)format("truetype")}@font-face{font-display:block;font-family:KaTeX_Fraktur;font-style:normal;font-weight:400;src:url(../media/KaTeX_Fraktur-Regular.2d10y4xmjvzlf.woff2)format("woff2"),url(../media/KaTeX_Fraktur-Regular.110oo81prr9n5.woff)format("woff"),url(../media/KaTeX_Fraktur-Regular.2qhy34r6a05dn.ttf)format("truetype")}@font-face{font-display:block;font-family:KaTeX_Main;font-style:normal;font-weight:700;src:url(../media/KaTeX_Main-Bold.3-rowy8o6_4ky.woff2)format("woff2"),url(../media/KaTeX_Main-Bold.0v1esh257kqpe.woff)format("woff"),url(../media/KaTeX_Main-Bold.0us_n0tnxlxu7.ttf)format("truetype")}@font-face{font-display:block;font-family:KaTeX_Main;font-style:italic;font-weight:700;src:url(../media/KaTeX_Main-BoldItalic.14r2naom8mrec.woff2)format("woff2"),url(../media/KaTeX_Main-BoldItalic.13355ck5zr48q.woff)format("woff"),url(../media/KaTeX_Main-BoldItalic.3x_u9cepaced0.ttf)format("truetype")}@font-face{font-display:block;font-family:KaTeX_Main;font-style:italic;font-weight:400;src:url(../media/KaTeX_Main-Italic.0lig0v9j0700p.woff2)format("woff2"),url(../media/KaTeX_Main-Italic.0afv392dj4w59.woff)format("woff"),url(../media/KaTeX_Main-Italic.2hkw3230mfwcv.ttf)format("truetype")}@font-face{font-display:block;font-family:KaTeX_Main;font-style:normal;font-weight:400;src:url(../media/KaTeX_Main-Regular.1ryvsdzh2w1_e.woff2)format("woff2"),url(../media/KaTeX_Main-Regular.15u8r3b2y7fv4.woff)format("woff"),url(../media/KaTeX_Main-Regular.0symfa7dqj6jd.ttf)format("truetype")}@font-face{font-display:block;font-family:KaTeX_Math;font-style:italic;font-weight:700;src:url(../media/KaTeX_Math-BoldItalic.1oopuu636h4il.woff2)format("woff2"),url(../media/KaTeX_Math-BoldItalic.12pl58orkw9rg.woff)format("woff"),url(../media/KaTeX_Math-BoldItalic.0y5w36a5aq__2.ttf)format("truetype")}@font-face{font-display:block;font-family:KaTeX_Math;font-style:italic;font-weight:400;src:url(../media/KaTeX_Math-Italic.32405s1aq8vas.woff2)format("woff2"),url(../media/KaTeX_Math-Italic.0w0b1ugh62cfr.woff)format("woff"),url(../media/KaTeX_Math-Italic.2vkekfblmz5nb.ttf)format("truetype")}@font-face{font-display:block;font-family:KaTeX_SansSerif;font-style:normal;font-weight:700;src:url(../media/KaTeX_SansSerif-Bold.0h3wi2z_eouyg.woff2)format("woff2"),url(../media/KaTeX_SansSerif-Bold.1ovw5p-yjp56g.woff)format("woff"),url(../media/KaTeX_SansSerif-Bold.2d03q85pwxpti.ttf)format("truetype")}@font-face{font-display:block;font-family:KaTeX_SansSerif;font-style:italic;font-weight:400;src:url(../media/KaTeX_SansSerif-Italic.0wkjc4dm2kcit.woff2)format("woff2"),url(../media/KaTeX_SansSerif-Italic.1qavw__2zz8gk.woff)format("woff"),url(../media/KaTeX_SansSerif-Italic.3i-q087b23-m8.ttf)format("truetype")}@font-face{font-display:block;font-family:KaTeX_SansSerif;font-style:normal;font-weight:400;src:url(../media/KaTeX_SansSerif-Regular.2peiewu59z3d-.woff2)format("woff2"),url(../media/KaTeX_SansSerif-Regular.1i4afx8nk8n4r.woff)format("woff"),url(../media/KaTeX_SansSerif-Regular.31pbu25feko_c.ttf)format("truetype")}@font-face{font-display:block;font-family:KaTeX_Script;font-style:normal;font-weight:400;src:url(../media/KaTeX_Script-Regular.11h14300o9pd0.woff2)format("woff2"),url(../media/KaTeX_Script-Regular.3110jb9c-bxna.woff)format("woff"),url(../media/KaTeX_Script-Regular.28p_x7iz71ofe.ttf)format("truetype")}@font-face{font-display:block;font-family:KaTeX_Size1;font-style:normal;font-weight:400;src:url(../media/KaTeX_Size1-Regular.03lhvx36ekcou.woff2)format("woff2"),url(../media/KaTeX_Size1-Regular.1slf4bh0hc6vm.woff)format("woff"),url(../media/KaTeX_Size1-Regular.1y57-ck23ey8c.ttf)format("truetype")}@font-face{font-display:block;font-family:KaTeX_Size2;font-style:normal;font-weight:400;src:url(../media/KaTeX_Size2-Regular.14s5gg-puz6h-.woff2)format("woff2"),url(../media/KaTeX_Size2-Regular.0-kwyvx03omo8.woff)format("woff"),url(../media/KaTeX_Size2-Regular.2u0s-b07k2o9m.ttf)format("truetype")}@font-face{font-display:block;font-family:KaTeX_Size3;font-style:normal;font-weight:400;src:url(../media/KaTeX_Size3-Regular.1n1rgzz84z8r9.woff2)format("woff2"),url(../media/KaTeX_Size3-Regular.04o9a_02gu_e8.woff)format("woff"),url(../media/KaTeX_Size3-Regular.1pkn-dge4q0fv.ttf)format("truetype")}@font-face{font-display:block;font-family:KaTeX_Size4;font-style:normal;font-weight:400;src:url(../media/KaTeX_Size4-Regular.2sgotkdv3dcyv.woff2)format("woff2"),url(../media/KaTeX_Size4-Regular.3p2r1l7xmebxv.woff)format("woff"),url(../media/KaTeX_Size4-Regular.2uelkfk2yna5e.ttf)format("truetype")}@font-face{font-display:block;font-family:KaTeX_Typewriter;font-style:normal;font-weight:400;src:url(../media/KaTeX_Typewriter-Regular.11gr2d2wuwz77.woff2)format("woff2"),url(../media/KaTeX_Typewriter-Regular.12f8myjij3617.woff)format("woff"),url(../media/KaTeX_Typewriter-Regular.3nee9kjfy6nm8.ttf)format("truetype")}.katex{text-indent:0;text-rendering:auto;font:1.21em/1.2 KaTeX_Main,Times New Roman,serif;position:relative}.katex *{border-color:currentColor;-ms-high-contrast-adjust:none!important}.katex .katex-version:after{content:"0.18.1"}.katex .katex-mathml{clip-path:inset(50%);border:0;width:1px;height:1px;padding:0;position:absolute;overflow:hidden}.katex .katex-html>.katex-newline{display:block}.katex .katex-base{white-space:nowrap;width:min-content;position:relative}.katex .katex-base,.katex .katex-strut{display:inline-block}.katex .textbf{font-weight:700}.katex .textit{font-style:italic}.katex .textrm{font-family:KaTeX_Main}.katex .textsf{font-family:KaTeX_SansSerif}.katex .texttt{font-family:KaTeX_Typewriter}.katex .mathnormal{font-family:KaTeX_Math;font-style:italic}.katex .mathit{font-family:KaTeX_Main;font-style:italic}.katex .mathrm{font-style:normal}.katex .mathbf{font-family:KaTeX_Main;font-weight:700}.katex .boldsymbol{font-family:KaTeX_Math;font-style:italic;font-weight:700}.katex .amsrm,.katex .mathbb,.katex .textbb{font-family:KaTeX_AMS}.katex .mathcal{font-family:KaTeX_Caligraphic}.katex .mathfrak,.katex .textfrak{font-family:KaTeX_Fraktur}.katex .mathboldfrak,.katex .textboldfrak{font-family:KaTeX_Fraktur;font-weight:700}.katex .mathtt{font-family:KaTeX_Typewriter}.katex .mathscr,.katex .textscr{font-family:KaTeX_Script}.katex .mathsf,.katex .textsf{font-family:KaTeX_SansSerif}.katex .mathboldsf,.katex .textboldsf{font-family:KaTeX_SansSerif;font-weight:700}.katex .mathitsf,.katex .mathsfit,.katex .textitsf{font-family:KaTeX_SansSerif;font-style:italic}.katex .mainrm{font-family:KaTeX_Main;font-style:normal}.katex .vlist-t{border-collapse:collapse;table-layout:fixed;display:inline-table}.katex .vlist-r{display:table-row}.katex .vlist{vertical-align:bottom;display:table-cell;position:relative}.katex .vlist>span{height:0;display:block;position:relative}.katex .vlist>span>span{display:inline-block}.katex .vlist>span>.pstrut{width:0;overflow:hidden}.katex .vlist-t2{margin-right:-2px}.katex .vlist-s{vertical-align:bottom;width:2px;min-width:2px;font-size:1px;display:table-cell}.katex .katex-vbox{flex-direction:column;align-items:baseline;display:inline-flex}.katex .katex-thinbox{flex-direction:row;width:0;max-width:0;display:inline-flex}.katex .msupsub{text-align:left}.katex .mfrac>span>span{text-align:center}.katex .mfrac .frac-line{border-bottom-style:solid;width:100%;display:inline-block}.katex .katex-hdashline,.katex .katex-hline,.katex .katex-overline .overline-line,.katex .katex-rule,.katex .katex-underline .underline-line,.katex .mfrac .frac-line{min-height:1px}.katex .mspace{display:inline-block}.katex .katex-smash{line-height:0;display:inline}.katex .clap,.katex .llap,.katex .rlap{width:0;position:relative}.katex .clap>.katex-inner,.katex .llap>.katex-inner,.katex .rlap>.katex-inner{position:absolute}.katex .clap>.katex-fix,.katex .llap>.katex-fix,.katex .rlap>.katex-fix{display:inline-block}.katex .llap>.katex-inner{right:0}.katex .clap>.katex-inner,.katex .rlap>.katex-inner{left:0}.katex .clap>.katex-inner>span{margin-left:-50%;margin-right:50%}.katex .katex-rule{border:0 solid;display:inline-block;position:relative}.katex .katex-hline,.katex .katex-overline .overline-line,.katex .katex-underline .underline-line{border-bottom-style:solid;width:100%;display:inline-block}.katex .katex-hdashline{border-bottom-style:dashed;width:100%;display:inline-block}.katex .sqrt>.katex-root{margin-left:.277778em;margin-right:-.555556em}.katex .fontsize-ensurer.reset-size1.size1,.katex .katex-sizing.reset-size1.size1{font-size:1em}.katex .fontsize-ensurer.reset-size1.size2,.katex .katex-sizing.reset-size1.size2{font-size:1.2em}.katex .fontsize-ensurer.reset-size1.size3,.katex .katex-sizing.reset-size1.size3{font-size:1.4em}.katex .fontsize-ensurer.reset-size1.size4,.katex .katex-sizing.reset-size1.size4{font-size:1.6em}.katex .fontsize-ensurer.reset-size1.size5,.katex .katex-sizing.reset-size1.size5{font-size:1.8em}.katex .fontsize-ensurer.reset-size1.size6,.katex .katex-sizing.reset-size1.size6{font-size:2em}.katex .fontsize-ensurer.reset-size1.size7,.katex .katex-sizing.reset-size1.size7{font-size:2.4em}.katex .fontsize-ensurer.reset-size1.size8,.katex .katex-sizing.reset-size1.size8{font-size:2.88em}.katex .fontsize-ensurer.reset-size1.size9,.katex .katex-sizing.reset-size1.size9{font-size:3.456em}.katex .fontsize-ensurer.reset-size1.size10,.katex .katex-sizing.reset-size1.size10{font-size:4.148em}.katex .fontsize-ensurer.reset-size1.size11,.katex .katex-sizing.reset-size1.size11{font-size:4.976em}.katex .fontsize-ensurer.reset-size2.size1,.katex .katex-sizing.reset-size2.size1{font-size:.833333em}.katex .fontsize-ensurer.reset-size2.size2,.katex .katex-sizing.reset-size2.size2{font-size:1em}.katex .fontsize-ensurer.reset-size2.size3,.katex .katex-sizing.reset-size2.size3{font-size:1.16667em}.katex .fontsize-ensurer.reset-size2.size4,.katex .katex-sizing.reset-size2.size4{font-size:1.33333em}.katex .fontsize-ensurer.reset-size2.size5,.katex .katex-sizing.reset-size2.size5{font-size:1.5em}.katex .fontsize-ensurer.reset-size2.size6,.katex .katex-sizing.reset-size2.size6{font-size:1.66667em}.katex .fontsize-ensurer.reset-size2.size7,.katex .katex-sizing.reset-size2.size7{font-size:2em}.katex .fontsize-ensurer.reset-size2.size8,.katex .katex-sizing.reset-size2.size8{font-size:2.4em}.katex .fontsize-ensurer.reset-size2.size9,.katex .katex-sizing.reset-size2.size9{font-size:2.88em}.katex .fontsize-ensurer.reset-size2.size10,.katex .katex-sizing.reset-size2.size10{font-size:3.45667em}.katex .fontsize-ensurer.reset-size2.size11,.katex .katex-sizing.reset-size2.size11{font-size:4.14667em}.katex .fontsize-ensurer.reset-size3.size1,.katex .katex-sizing.reset-size3.size1{font-size:.714286em}.katex .fontsize-ensurer.reset-size3.size2,.katex .katex-sizing.reset-size3.size2{font-size:.857143em}.katex .fontsize-ensurer.reset-size3.size3,.katex .katex-sizing.reset-size3.size3{font-size:1em}.katex .fontsize-ensurer.reset-size3.size4,.katex .katex-sizing.reset-size3.size4{font-size:1.14286em}.katex .fontsize-ensurer.reset-size3.size5,.katex .katex-sizing.reset-size3.size5{font-size:1.28571em}.katex .fontsize-ensurer.reset-size3.size6,.katex .katex-sizing.reset-size3.size6{font-size:1.42857em}.katex .fontsize-ensurer.reset-size3.size7,.katex .katex-sizing.reset-size3.size7{font-size:1.71429em}.katex .fontsize-ensurer.reset-size3.size8,.katex .katex-sizing.reset-size3.size8{font-size:2.05714em}.katex .fontsize-ensurer.reset-size3.size9,.katex .katex-sizing.reset-size3.size9{font-size:2.46857em}.katex .fontsize-ensurer.reset-size3.size10,.katex .katex-sizing.reset-size3.size10{font-size:2.96286em}.katex .fontsize-ensurer.reset-size3.size11,.katex .katex-sizing.reset-size3.size11{font-size:3.55429em}.katex .fontsize-ensurer.reset-size4.size1,.katex .katex-sizing.reset-size4.size1{font-size:.625em}.katex .fontsize-ensurer.reset-size4.size2,.katex .katex-sizing.reset-size4.size2{font-size:.75em}.katex .fontsize-ensurer.reset-size4.size3,.katex .katex-sizing.reset-size4.size3{font-size:.875em}.katex .fontsize-ensurer.reset-size4.size4,.katex .katex-sizing.reset-size4.size4{font-size:1em}.katex .fontsize-ensurer.reset-size4.size5,.katex .katex-sizing.reset-size4.size5{font-size:1.125em}.katex .fontsize-ensurer.reset-size4.size6,.katex .katex-sizing.reset-size4.size6{font-size:1.25em}.katex .fontsize-ensurer.reset-size4.size7,.katex .katex-sizing.reset-size4.size7{font-size:1.5em}.katex .fontsize-ensurer.reset-size4.size8,.katex .katex-sizing.reset-size4.size8{font-size:1.8em}.katex .fontsize-ensurer.reset-size4.size9,.katex .katex-sizing.reset-size4.size9{font-size:2.16em}.katex .fontsize-ensurer.reset-size4.size10,.katex .katex-sizing.reset-size4.size10{font-size:2.5925em}.katex .fontsize-ensurer.reset-size4.size11,.katex .katex-sizing.reset-size4.size11{font-size:3.11em}.katex .fontsize-ensurer.reset-size5.size1,.katex .katex-sizing.reset-size5.size1{font-size:.555556em}.katex .fontsize-ensurer.reset-size5.size2,.katex .katex-sizing.reset-size5.size2{font-size:.666667em}.katex .fontsize-ensurer.reset-size5.size3,.katex .katex-sizing.reset-size5.size3{font-size:.777778em}.katex .fontsize-ensurer.reset-size5.size4,.katex .katex-sizing.reset-size5.size4{font-size:.888889em}.katex .fontsize-ensurer.reset-size5.size5,.katex .katex-sizing.reset-size5.size5{font-size:1em}.katex .fontsize-ensurer.reset-size5.size6,.katex .katex-sizing.reset-size5.size6{font-size:1.11111em}.katex .fontsize-ensurer.reset-size5.size7,.katex .katex-sizing.reset-size5.size7{font-size:1.33333em}.katex .fontsize-ensurer.reset-size5.size8,.katex .katex-sizing.reset-size5.size8{font-size:1.6em}.katex .fontsize-ensurer.reset-size5.size9,.katex .katex-sizing.reset-size5.size9{font-size:1.92em}.katex .fontsize-ensurer.reset-size5.size10,.katex .katex-sizing.reset-size5.size10{font-size:2.30444em}.katex .fontsize-ensurer.reset-size5.size11,.katex .katex-sizing.reset-size5.size11{font-size:2.76444em}.katex .fontsize-ensurer.reset-size6.size1,.katex .katex-sizing.reset-size6.size1{font-size:.5em}.katex .fontsize-ensurer.reset-size6.size2,.katex .katex-sizing.reset-size6.size2{font-size:.6em}.katex .fontsize-ensurer.reset-size6.size3,.katex .katex-sizing.reset-size6.size3{font-size:.7em}.katex .fontsize-ensurer.reset-size6.size4,.katex .katex-sizing.reset-size6.size4{font-size:.8em}.katex .fontsize-ensurer.reset-size6.size5,.katex .katex-sizing.reset-size6.size5{font-size:.9em}.katex .fontsize-ensurer.reset-size6.size6,.katex .katex-sizing.reset-size6.size6{font-size:1em}.katex .fontsize-ensurer.reset-size6.size7,.katex .katex-sizing.reset-size6.size7{font-size:1.2em}.katex .fontsize-ensurer.reset-size6.size8,.katex .katex-sizing.reset-size6.size8{font-size:1.44em}.katex .fontsize-ensurer.reset-size6.size9,.katex .katex-sizing.reset-size6.size9{font-size:1.728em}.katex .fontsize-ensurer.reset-size6.size10,.katex .katex-sizing.reset-size6.size10{font-size:2.074em}.katex .fontsize-ensurer.reset-size6.size11,.katex .katex-sizing.reset-size6.size11{font-size:2.488em}.katex .fontsize-ensurer.reset-size7.size1,.katex .katex-sizing.reset-size7.size1{font-size:.416667em}.katex .fontsize-ensurer.reset-size7.size2,.katex .katex-sizing.reset-size7.size2{font-size:.5em}.katex .fontsize-ensurer.reset-size7.size3,.katex .katex-sizing.reset-size7.size3{font-size:.583333em}.katex .fontsize-ensurer.reset-size7.size4,.katex .katex-sizing.reset-size7.size4{font-size:.666667em}.katex .fontsize-ensurer.reset-size7.size5,.katex .katex-sizing.reset-size7.size5{font-size:.75em}.katex .fontsize-ensurer.reset-size7.size6,.katex .katex-sizing.reset-size7.size6{font-size:.833333em}.katex .fontsize-ensurer.reset-size7.size7,.katex .katex-sizing.reset-size7.size7{font-size:1em}.katex .fontsize-ensurer.reset-size7.size8,.katex .katex-sizing.reset-size7.size8{font-size:1.2em}.katex .fontsize-ensurer.reset-size7.size9,.katex .katex-sizing.reset-size7.size9{font-size:1.44em}.katex .fontsize-ensurer.reset-size7.size10,.katex .katex-sizing.reset-size7.size10{font-size:1.72833em}.katex .fontsize-ensurer.reset-size7.size11,.katex .katex-sizing.reset-size7.size11{font-size:2.07333em}.katex .fontsize-ensurer.reset-size8.size1,.katex .katex-sizing.reset-size8.size1{font-size:.347222em}.katex .fontsize-ensurer.reset-size8.size2,.katex .katex-sizing.reset-size8.size2{font-size:.416667em}.katex .fontsize-ensurer.reset-size8.size3,.katex .katex-sizing.reset-size8.size3{font-size:.486111em}.katex .fontsize-ensurer.reset-size8.size4,.katex .katex-sizing.reset-size8.size4{font-size:.555556em}.katex .fontsize-ensurer.reset-size8.size5,.katex .katex-sizing.reset-size8.size5{font-size:.625em}.katex .fontsize-ensurer.reset-size8.size6,.katex .katex-sizing.reset-size8.size6{font-size:.694444em}.katex .fontsize-ensurer.reset-size8.size7,.katex .katex-sizing.reset-size8.size7{font-size:.833333em}.katex .fontsize-ensurer.reset-size8.size8,.katex .katex-sizing.reset-size8.size8{font-size:1em}.katex .fontsize-ensurer.reset-size8.size9,.katex .katex-sizing.reset-size8.size9{font-size:1.2em}.katex .fontsize-ensurer.reset-size8.size10,.katex .katex-sizing.reset-size8.size10{font-size:1.44028em}.katex .fontsize-ensurer.reset-size8.size11,.katex .katex-sizing.reset-size8.size11{font-size:1.72778em}.katex .fontsize-ensurer.reset-size9.size1,.katex .katex-sizing.reset-size9.size1{font-size:.289352em}.katex .fontsize-ensurer.reset-size9.size2,.katex .katex-sizing.reset-size9.size2{font-size:.347222em}.katex .fontsize-ensurer.reset-size9.size3,.katex .katex-sizing.reset-size9.size3{font-size:.405093em}.katex .fontsize-ensurer.reset-size9.size4,.katex .katex-sizing.reset-size9.size4{font-size:.462963em}.katex .fontsize-ensurer.reset-size9.size5,.katex .katex-sizing.reset-size9.size5{font-size:.520833em}.katex .fontsize-ensurer.reset-size9.size6,.katex .katex-sizing.reset-size9.size6{font-size:.578704em}.katex .fontsize-ensurer.reset-size9.size7,.katex .katex-sizing.reset-size9.size7{font-size:.694444em}.katex .fontsize-ensurer.reset-size9.size8,.katex .katex-sizing.reset-size9.size8{font-size:.833333em}.katex .fontsize-ensurer.reset-size9.size9,.katex .katex-sizing.reset-size9.size9{font-size:1em}.katex .fontsize-ensurer.reset-size9.size10,.katex .katex-sizing.reset-size9.size10{font-size:1.20023em}.katex .fontsize-ensurer.reset-size9.size11,.katex .katex-sizing.reset-size9.size11{font-size:1.43981em}.katex .fontsize-ensurer.reset-size10.size1,.katex .katex-sizing.reset-size10.size1{font-size:.24108em}.katex .fontsize-ensurer.reset-size10.size2,.katex .katex-sizing.reset-size10.size2{font-size:.289296em}.katex .fontsize-ensurer.reset-size10.size3,.katex .katex-sizing.reset-size10.size3{font-size:.337512em}.katex .fontsize-ensurer.reset-size10.size4,.katex .katex-sizing.reset-size10.size4{font-size:.385728em}.katex .fontsize-ensurer.reset-size10.size5,.katex .katex-sizing.reset-size10.size5{font-size:.433944em}.katex .fontsize-ensurer.reset-size10.size6,.katex .katex-sizing.reset-size10.size6{font-size:.48216em}.katex .fontsize-ensurer.reset-size10.size7,.katex .katex-sizing.reset-size10.size7{font-size:.578592em}.katex .fontsize-ensurer.reset-size10.size8,.katex .katex-sizing.reset-size10.size8{font-size:.694311em}.katex .fontsize-ensurer.reset-size10.size9,.katex .katex-sizing.reset-size10.size9{font-size:.833173em}.katex .fontsize-ensurer.reset-size10.size10,.katex .katex-sizing.reset-size10.size10{font-size:1em}.katex .fontsize-ensurer.reset-size10.size11,.katex .katex-sizing.reset-size10.size11{font-size:1.19961em}.katex .fontsize-ensurer.reset-size11.size1,.katex .katex-sizing.reset-size11.size1{font-size:.200965em}.katex .fontsize-ensurer.reset-size11.size2,.katex .katex-sizing.reset-size11.size2{font-size:.241158em}.katex .fontsize-ensurer.reset-size11.size3,.katex .katex-sizing.reset-size11.size3{font-size:.281351em}.katex .fontsize-ensurer.reset-size11.size4,.katex .katex-sizing.reset-size11.size4{font-size:.321543em}.katex .fontsize-ensurer.reset-size11.size5,.katex .katex-sizing.reset-size11.size5{font-size:.361736em}.katex .fontsize-ensurer.reset-size11.size6,.katex .katex-sizing.reset-size11.size6{font-size:.401929em}.katex .fontsize-ensurer.reset-size11.size7,.katex .katex-sizing.reset-size11.size7{font-size:.482315em}.katex .fontsize-ensurer.reset-size11.size8,.katex .katex-sizing.reset-size11.size8{font-size:.578778em}.katex .fontsize-ensurer.reset-size11.size9,.katex .katex-sizing.reset-size11.size9{font-size:.694534em}.katex .fontsize-ensurer.reset-size11.size10,.katex .katex-sizing.reset-size11.size10{font-size:.833601em}.katex .fontsize-ensurer.reset-size11.size11,.katex .katex-sizing.reset-size11.size11{font-size:1em}.katex .delimsizing.size1{font-family:KaTeX_Size1}.katex .delimsizing.size2{font-family:KaTeX_Size2}.katex .delimsizing.size3{font-family:KaTeX_Size3}.katex .delimsizing.size4{font-family:KaTeX_Size4}.katex .delimsizing.mult .delim-size1>span{font-family:KaTeX_Size1}.katex .delimsizing.mult .delim-size4>span{font-family:KaTeX_Size4}.katex .nulldelimiter{width:.12em;display:inline-block}.katex .delimcenter,.katex .op-symbol{position:relative}.katex .op-symbol.small-op{font-family:KaTeX_Size1}.katex .op-symbol.large-op{font-family:KaTeX_Size2}.katex .katex-accent>.vlist-t,.katex .op-limits>.vlist-t{text-align:center}.katex .katex-accent .accent-body{position:relative}.katex .katex-accent .accent-body:not(.accent-full){width:0}.katex .katex-overlay{display:block}.katex .mtable .vertical-separator{min-width:1px;display:inline-block}.katex .mtable .arraycolsep{display:inline-block}.katex .mtable .col-align-c>.vlist-t{text-align:center}.katex .mtable .col-align-l>.vlist-t{text-align:left}.katex .mtable .col-align-r>.vlist-t{text-align:right}.katex .svg-align{text-align:left}.katex svg{fill:currentColor;stroke:currentColor;height:inherit;width:100%;display:block;position:absolute}.katex svg path{stroke:none}.katex svg{fill-rule:nonzero;fill-opacity:1;stroke-width:1px;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:4;stroke-dasharray:none;stroke-dashoffset:0;stroke-opacity:1}.katex img{border-style:none;min-width:0;max-width:none;min-height:0;max-height:none}.katex .katex-stretchy{width:100%;display:block;position:relative;overflow:hidden}.katex .katex-stretchy:after,.katex .katex-stretchy:before{content:""}.katex .hide-tail{width:100%;position:relative;overflow:hidden}.katex .halfarrow-left{width:50.2%;position:absolute;left:0;overflow:hidden}.katex .halfarrow-right{width:50.2%;position:absolute;right:0;overflow:hidden}.katex .brace-left{width:25.1%;position:absolute;left:0;overflow:hidden}.katex .brace-center{width:50%;position:absolute;left:25%;overflow:hidden}.katex .brace-right{width:25.1%;position:absolute;right:0;overflow:hidden}.katex .x-arrow-pad{padding:0 .5em}.katex .cd-arrow-pad{padding:0 .55556em 0 .27778em}.katex .mover,.katex .munder,.katex .x-arrow{text-align:center}.katex .boxpad{padding:0 .3em}.katex .fbox,.katex .fcolorbox{box-sizing:border-box;border:.04em solid}.katex .cancel-pad{padding:0 .2em}.katex .cancel-lap{margin-left:-.2em;margin-right:-.2em}.katex .katex-sout{border-bottom-style:solid;border-bottom-width:.08em}.katex .angl{box-sizing:border-box;border-top:.049em solid;border-right:.049em solid;margin-right:.03889em}.katex .anglpad{padding:0 .03889em}.katex .eqn-num:before{content:"(" counter(katexEqnNo) ")";counter-increment:katexEqnNo}.katex .mml-eqn-num:before{content:"(" counter(mmlEqnNo) ")";counter-increment:mmlEqnNo}.katex .mtr-glue{width:50%}.katex .cd-vert-arrow{display:inline-block;position:relative}.katex .cd-label-left{text-align:left;display:inline-block;position:absolute;right:calc(50% + .3em)}.katex .cd-label-right{text-align:right;display:inline-block;position:absolute;left:calc(50% + .3em)}.katex-display{text-align:center;margin:1em 0;display:block}.katex-display>.katex{text-align:center;white-space:nowrap;display:block}.katex-display>.katex>.katex-html{display:block;position:relative}.katex-display>.katex>.katex-html>.katex-tag{position:absolute;right:0}.katex-display.leqno>.katex>.katex-html>.katex-tag{left:0;right:auto}.katex-display.fleqn>.katex{text-align:left;padding-left:2em}body{counter-reset:katexEqnNo mmlEqnNo}
