*,*:before,*:after{box-sizing:border-box}*{margin:0}html{-webkit-text-size-adjust:100%;text-size-adjust:100%}html,body{min-height:100%}body{line-height:1.55;font-family:var(--font-body);color:var(--color-text);background:var(--color-bg);-webkit-font-smoothing:antialiased}img,picture,video,canvas,svg{display:block;max-width:100%}input,button,textarea,select{font:inherit;color:inherit}button{cursor:pointer}h1,h2,h3,h4{line-height:1.2;text-wrap:balance}p{text-wrap:pretty}a{color:var(--color-link);text-decoration-thickness:max(1px,.05em);text-underline-offset:.15em}a:hover{color:var(--color-link-hover)}:root{--color-bg: #ffffff;--color-surface: #f7f7f8;--color-surface-2: #eeeef1;--color-border: #d4d4d8;--color-text: #18181b;--color-text-muted: #52525b;--color-link: #1d4ed8;--color-link-hover: #1e40af;--color-accent: #0e7490;--color-accent-bg: #ecfeff;--color-accent-border: #67e8f9;--color-danger: #b91c1c;--color-danger-bg: #fef2f2;--color-success: #15803d;--font-body: system-ui, -apple-system, "Segoe UI", Roboto, "Helvetica Neue", Arial, "Noto Sans", sans-serif, "Apple Color Emoji", "Segoe UI Emoji";--font-mono: ui-monospace, "SF Mono", Menlo, Consolas, "Liberation Mono", "Courier New", monospace;--fs-1: clamp(.875rem, .82rem + .2vw, .95rem);--fs-2: clamp(1rem, .94rem + .25vw, 1.075rem);--fs-3: clamp(1.125rem, 1.05rem + .35vw, 1.25rem);--fs-4: clamp(1.375rem, 1.25rem + .6vw, 1.625rem);--fs-5: clamp(1.75rem, 1.5rem + 1vw, 2.1rem);--fs-6: clamp(2.25rem, 1.9rem + 1.5vw, 2.9rem);--space-1: .25rem;--space-2: .5rem;--space-3: .75rem;--space-4: 1rem;--space-5: 1.5rem;--space-6: 2rem;--space-7: 3rem;--space-8: 4.5rem;--radius: 6px;--radius-lg: 10px;--shadow-sm: 0 1px 2px rgb(0 0 0 / .06);--content-max: 68ch;--page-max: 1180px}@media(prefers-color-scheme:dark){:root{--color-bg: #0b0d10;--color-surface: #14171b;--color-surface-2: #1c2026;--color-border: #2c313a;--color-text: #ececef;--color-text-muted: #a1a1aa;--color-link: #60a5fa;--color-link-hover: #93c5fd;--color-accent: #22d3ee;--color-accent-bg: #082f38;--color-accent-border: #155e75;--color-danger: #fca5a5;--color-danger-bg: #2b0e0e;--color-success: #4ade80;--shadow-sm: 0 1px 2px rgb(0 0 0 / .4)}}body{font-size:var(--fs-2)}h1{font-size:var(--fs-6)}h2{font-size:var(--fs-5)}h3{font-size:var(--fs-4)}h4{font-size:var(--fs-3)}small{font-size:var(--fs-1);color:var(--color-text-muted)}code,kbd,samp{font-family:var(--font-mono);font-size:.925em}.page{max-width:var(--page-max);margin-inline:auto;padding-inline:var(--space-4)}.prose{max-width:var(--content-max)}.prose>*+*{margin-top:var(--space-4)}.prose h2{margin-top:var(--space-6)}.prose h3{margin-top:var(--space-5)}.prose ul,.prose ol{padding-inline-start:1.5em}.prose li+li{margin-top:.25em}.prose table{border-collapse:collapse;width:100%;font-size:var(--fs-1)}.prose th,.prose td{border:1px solid var(--color-border);padding:var(--space-2) var(--space-3);text-align:left}.prose th{background:var(--color-surface);font-weight:600}:focus-visible{outline:2px solid var(--color-accent);outline-offset:2px;border-radius:var(--radius)}.skip-link{position:absolute;left:-9999px;top:0;z-index:100;background:var(--color-bg);color:var(--color-text);padding:var(--space-2) var(--space-4);border:1px solid var(--color-border);border-radius:var(--radius)}.skip-link:focus{left:var(--space-3);top:var(--space-3)}.ad-slot{display:block;width:100%;border:1px dashed var(--color-border);border-radius:var(--radius);background:var(--color-surface);color:var(--color-text-muted);text-align:center;font-size:var(--fs-1)}.ad-slot:before{content:"advertisement placeholder";display:block;padding:var(--space-3)}.ad-slot[data-slot=top],.ad-slot[data-slot=in-content]{min-height:90px}.ad-slot[data-slot=sidebar]{min-height:250px}.equation-panel{background:var(--color-surface);border:1px solid var(--color-border);border-radius:var(--radius);padding:var(--space-4);overflow-x:auto}.calc{display:grid;gap:var(--space-4);padding:var(--space-5);background:var(--color-surface);border:1px solid var(--color-border);border-radius:var(--radius-lg)}.calc form{display:grid;gap:var(--space-3)}.calc__row{display:grid;grid-template-columns:minmax(0,1fr) 6.5rem;gap:var(--space-2);align-items:end}.calc__field{display:grid;gap:var(--space-1)}.calc__label{font-weight:600;font-size:var(--fs-1)}.calc__input,.calc__unit,.calc__select{width:100%;min-width:0;padding:var(--space-2) var(--space-3);background:var(--color-bg);color:var(--color-text);border:1px solid var(--color-border);border-radius:var(--radius)}.calc__input[readonly],.calc__input:disabled{background:var(--color-accent-bg);border-color:var(--color-accent-border);color:var(--color-text);font-weight:600}.calc__solve-for{display:flex;flex-wrap:wrap;gap:var(--space-2);padding:var(--space-3);border:1px solid var(--color-border);border-radius:var(--radius);background:var(--color-bg)}.calc__solve-for legend{font-weight:600;padding-inline:var(--space-2);font-size:var(--fs-1)}.calc__solve-for label{display:inline-flex;align-items:center;gap:.35em}.calc__actions{display:flex;gap:var(--space-2);flex-wrap:wrap}.calc__btn{padding:var(--space-2) var(--space-4);border:1px solid var(--color-border);border-radius:var(--radius);background:var(--color-bg);color:var(--color-text)}.calc__btn--primary{background:var(--color-accent);color:#fff;border-color:var(--color-accent)}.calc__errors{color:var(--color-danger);background:var(--color-danger-bg);border:1px solid var(--color-danger);border-radius:var(--radius);padding:var(--space-2) var(--space-3);font-size:var(--fs-1)}.calc__errors:empty{display:none}.calc__errors:before{content:"⚠ Error: ";font-weight:700}.calc__warning{color:var(--color-text);background:color-mix(in srgb,var(--color-accent) 12%,var(--color-bg));border:1px solid var(--color-accent-border);border-radius:var(--radius);padding:var(--space-2) var(--space-3);font-size:var(--fs-1)}.calc__warning[hidden]{display:none}.calc__warning:before{content:"ⓘ ";font-weight:700;color:var(--color-accent)}.tool-layout{display:grid;gap:var(--space-6);grid-template-columns:minmax(0,1fr);padding-block:var(--space-5)}@media(min-width:960px){.tool-layout{grid-template-columns:minmax(0,1fr) 18rem}}.site-header{border-bottom:1px solid var(--color-border);padding:var(--space-3) 0;background:var(--color-bg)}.site-header__inner{display:flex;justify-content:space-between;align-items:center;gap:var(--space-4);flex-wrap:wrap}.site-header__brand{font-weight:700;text-decoration:none;color:var(--color-text)}.site-header__brand:hover{color:var(--color-accent)}.site-nav ul{display:flex;gap:var(--space-4);list-style:none;padding:0;margin:0;flex-wrap:wrap}.site-nav a[aria-current=page]{color:var(--color-accent);font-weight:600}.site-nav__item-with-menu{position:relative}.site-nav__dropdown{display:inline-block}.site-nav__dropdown>summary{cursor:pointer;list-style:none;color:var(--color-link);display:inline-flex;align-items:center;gap:.35em;user-select:none}.site-nav__dropdown>summary::-webkit-details-marker{display:none}.site-nav__dropdown>summary::marker{content:""}.site-nav__dropdown>summary:hover{color:var(--color-link-hover)}.site-nav__dropdown>summary[aria-current=page]{color:var(--color-accent);font-weight:600}.site-nav__caret{font-size:.7em;transition:transform .15s;color:var(--color-text-muted)}.site-nav__dropdown[open]>summary>.site-nav__caret{transform:rotate(180deg)}.site-nav__dropdown-menu{position:absolute;top:100%;left:0;z-index:20;margin-top:var(--space-2);min-width:14rem;display:grid;gap:0;padding:var(--space-2);background:var(--color-bg);border:1px solid var(--color-border);border-radius:var(--radius);box-shadow:var(--shadow-sm)}@media(max-width:640px){.site-nav__dropdown-menu{position:static;box-shadow:none;margin-top:var(--space-3);min-width:0}}.site-nav__dropdown-link{display:flex;align-items:center;justify-content:space-between;gap:var(--space-3);padding:var(--space-2) var(--space-3);border-radius:var(--radius);text-decoration:none;color:var(--color-text);white-space:nowrap}.site-nav__dropdown-link:hover{background:var(--color-surface)}.site-nav__dropdown-link[aria-current=page]{color:var(--color-accent);font-weight:600;background:var(--color-accent-bg)}.site-nav__dropdown-link--soon{color:var(--color-text-muted);cursor:not-allowed}.site-nav__dropdown-link--soon:hover{background:transparent}.site-nav__soon-badge{font-size:.75em;padding:.05em .55em;border-radius:999px;border:1px solid var(--color-border);color:var(--color-text-muted);background:var(--color-surface);font-weight:500}.site-footer{border-top:1px solid var(--color-border);padding:var(--space-6) 0;margin-top:var(--space-8);color:var(--color-text-muted);font-size:var(--fs-1)}.site-footer ul{display:flex;gap:var(--space-4);list-style:none;padding:0;margin:var(--space-2) 0 0;flex-wrap:wrap}.breadcrumb ol{display:flex;flex-wrap:wrap;list-style:none;padding:0;margin:0;gap:var(--space-2);font-size:var(--fs-1);color:var(--color-text-muted)}.breadcrumb li+li:before{content:"›";margin-inline-end:var(--space-2);color:var(--color-text-muted)}.related-tools ul{list-style:none;padding:0;margin:0;display:grid;gap:var(--space-3)}.related-tools li{border:1px solid var(--color-border);border-radius:var(--radius);padding:var(--space-3);background:var(--color-surface)}.related-tools a{font-weight:600}.related-tools p{font-size:var(--fs-1);color:var(--color-text-muted);margin-top:var(--space-1)}.visually-hidden{position:absolute;width:1px;height:1px;padding:0;margin:-1px;overflow:hidden;clip:rect(0,0,0,0);white-space:nowrap;border:0}.tool-layout__aside{display:grid;gap:var(--space-5);align-content:start}.cheat-sheet{border:1px solid var(--color-accent-border);background:var(--color-accent-bg);border-radius:var(--radius-lg);padding:var(--space-4)}.cheat-sheet__title{font-size:var(--fs-3);margin-bottom:var(--space-3);color:var(--color-accent)}.cheat-sheet__list{display:grid;gap:var(--space-3);margin:0}.cheat-sheet__row{display:grid;gap:var(--space-1);padding-bottom:var(--space-3);border-bottom:1px dashed var(--color-border)}.cheat-sheet__row:last-child{border-bottom:0;padding-bottom:0}.cheat-sheet__label{font-size:var(--fs-1);font-weight:600;color:var(--color-text-muted);margin:0}.cheat-sheet__value{font-family:var(--font-mono);font-size:.95em;margin-inline-start:0;overflow-wrap:anywhere;word-break:normal}.cheat-sheet__note{display:block;margin-top:var(--space-1);font-family:var(--font-body);color:var(--color-text-muted)}.cheat-sheet__more{margin-top:var(--space-3);font-size:var(--fs-1)}.worked-solution{margin:var(--space-5) 0;padding:var(--space-4);border:1px solid var(--color-border);border-left:4px solid var(--color-accent);border-radius:var(--radius);background:var(--color-surface)}.worked-solution__title{font-size:var(--fs-3);font-weight:700;margin-bottom:var(--space-3)}.worked-solution__given{display:grid;grid-template-columns:max-content 1fr;gap:var(--space-2) var(--space-4);margin-bottom:var(--space-4);padding:var(--space-3);background:var(--color-bg);border-radius:var(--radius);border:1px solid var(--color-border);font-size:var(--fs-1)}.worked-solution__given-row{display:contents}.worked-solution__given-row dt{font-weight:600;color:var(--color-text-muted)}.worked-solution__given-row dd{margin-inline-start:0}.worked-solution__steps{list-style:none;padding:0;margin:0;display:grid;gap:var(--space-3)}.worked-solution__steps li{display:grid;gap:var(--space-1);padding:var(--space-3);background:var(--color-bg);border-radius:var(--radius);border:1px solid var(--color-border);overflow-x:auto}.worked-solution__step-label{font-size:var(--fs-1);font-weight:700;color:var(--color-accent);text-transform:uppercase;letter-spacing:.04em}.worked-solution__narration p{font-size:var(--fs-1);color:var(--color-text-muted)}.calc__work{margin-top:var(--space-5);padding:var(--space-4);border:1px solid var(--color-accent-border);border-left:4px solid var(--color-accent);border-radius:var(--radius);background:var(--color-accent-bg);display:grid;gap:var(--space-3)}.calc__work[hidden]{display:none}.calc__work-title{font-size:var(--fs-3);font-weight:700;margin:0;color:var(--color-accent)}.calc__work-given{display:grid;grid-template-columns:max-content 1fr;gap:var(--space-1) var(--space-4);margin:0;padding:var(--space-3);background:var(--color-bg);border-radius:var(--radius);border:1px solid var(--color-border);font-size:var(--fs-1)}.calc__work-given:empty{display:none}.calc__work-given-row{display:contents}.calc__work-given-row dt{font-weight:600;color:var(--color-text-muted)}.calc__work-given-row dd{margin-inline-start:0}.calc__work-steps{list-style:none;padding:0;margin:0;display:grid;gap:var(--space-2)}.calc__work-steps>li{display:grid;gap:var(--space-1);padding:var(--space-3);background:var(--color-bg);border-radius:var(--radius);border:1px solid var(--color-border);overflow-x:auto}.calc__work-step-label{font-size:var(--fs-1);font-weight:700;color:var(--color-accent);text-transform:uppercase;letter-spacing:.04em}.calc__work-line{font-family:var(--font-mono);font-size:.95em;padding-block:var(--space-1);white-space:nowrap;overflow-x:auto}.calc__work-actions{display:flex;align-items:center;gap:var(--space-3);flex-wrap:wrap}.calc__latex-copy:hover{background:var(--color-surface-2)}.calc__latex-copy:disabled{opacity:.55;cursor:not-allowed}.calc__work-status{font-size:var(--fs-1);color:var(--color-success)}.calc__work-hint,.calc__example-hint{font-size:var(--fs-1);color:var(--color-text-muted);margin:0}.calc__example-btn{background:none;border:0;padding:0 .15em;color:var(--color-link);font-family:var(--font-mono);font-size:.95em;text-decoration:underline;text-underline-offset:.15em;cursor:pointer}.calc__example-btn:hover{color:var(--color-link-hover)}.calc__molar-mass-headline{font-size:var(--fs-4);font-weight:700;margin:0;display:flex;align-items:baseline;gap:.35em;flex-wrap:wrap}.calc__molar-mass-formula{font-family:var(--font-mono)}.calc__molar-mass-value{color:var(--color-accent)}.calc__breakdown{width:100%;border-collapse:collapse;font-size:var(--fs-1);background:var(--color-bg);border:1px solid var(--color-border);border-radius:var(--radius);overflow:hidden}.calc__breakdown th,.calc__breakdown td{padding:var(--space-2) var(--space-3);text-align:left;border-bottom:1px solid var(--color-border)}.calc__breakdown th{background:var(--color-surface);font-weight:700;color:var(--color-text-muted);font-size:.9em;text-transform:uppercase;letter-spacing:.03em}.calc__breakdown tbody tr:last-child td{border-bottom:0}.calc__breakdown td:nth-child(1){font-family:var(--font-mono);font-weight:700}.calc__breakdown td:nth-child(n+2){font-variant-numeric:tabular-nums}.practice-problems{display:grid;gap:var(--space-3);margin-top:var(--space-4)}.practice-problem{border:1px solid var(--color-border);border-radius:var(--radius);background:var(--color-surface);overflow:hidden}.practice-problem[open]{background:var(--color-bg)}.practice-problem__summary{padding:var(--space-3) var(--space-4);cursor:pointer;list-style:none;display:grid;gap:var(--space-2)}.practice-problem__summary::-webkit-details-marker{display:none}.practice-problem__summary::marker{content:""}.practice-problem__pill{display:inline-flex;gap:var(--space-2);align-items:center;font-size:var(--fs-1)}.practice-problem__number{font-weight:700;color:var(--color-accent)}.practice-problem__difficulty{display:inline-block;padding:.05em .55em;border-radius:999px;font-size:.85em;border:1px solid var(--color-border)}.practice-problem__difficulty--easy{background:var(--color-accent-bg);border-color:var(--color-accent-border);color:var(--color-accent)}.practice-problem__difficulty--intermediate{background:color-mix(in srgb,var(--color-accent) 8%,transparent)}.practice-problem__difficulty--hard{background:var(--color-danger-bg);color:var(--color-danger);border-color:var(--color-danger)}.practice-problem__question{font-weight:600}.practice-problem__toggle{font-size:var(--fs-1);color:var(--color-link);text-decoration:underline;text-underline-offset:.15em}.practice-problem[open] .practice-problem__toggle{color:var(--color-text-muted);text-decoration:none}.practice-problem[open] .practice-problem__toggle:before{content:"▼ "}.practice-problem:not([open]) .practice-problem__toggle:before{content:"▶ "}.practice-problem__body{padding:0 var(--space-4) var(--space-4)}.practice-problem__answer{margin-top:var(--space-2);padding:var(--space-2) var(--space-3);background:var(--color-accent-bg);border:1px solid var(--color-accent-border);border-radius:var(--radius);font-size:var(--fs-1)}@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,d09GMgABAAAAAA4oAA4AAAAAHbQAAA3TAAEAAAAAAAAAAAAAAAAAAAAAAAAAAAAABmAAgRQIDgmcDBEICo1oijYBNgIkA14LMgAEIAWJAAeBHAyBHBvbGiMRdnO0IkRRkiYDgr9KsJ1NUAf2kILNxgUmgqIgq1P89vcbIcmsQbRps3vCcXdYOKSWEPEKgZgQkprQQsxIXUgq0DqpGKmIvrgkeVGtEQD9DzAO29fM9jYhxZEsL2FeURH2JN4MIcTdO049NCVdxQ/w9NrSYFEBKTDKpLKfNkCGDc1RwjZLQcm3vqJ2UW9Xfa3tgAHz6ivp6vgC2yD4/6352ndnN0X0TL7seypkjZlMsjmZnf0Mm5Q+JykRWQBKCVCVPbARPXWyQtb5VgLB6Biq7/Uixcj2WGqdI8tGSgkuRG+t910GKP2D7AQH0DB9FMDW/obJZ8giFI3Wg8Cvevz0M+5m0rTh7XDBlvo9Y4vm13EXmfttwI4mBo1EG15fxJhUiCLbiiyCf/ZA6MFAhg3pGIZGdGIVjtPn6UcMk9A/UUr9PhoNsCENw1APAq0gpH73e+M+0ueyHbabc3vkbcdtzcf/fiy+NxQEjf9ud/ELBHAXJ0nk4z+MXH2Ev/kWyV4k7SkvpPc9Qr38F6RPWnM9cN6DJ0AdD1BhtgABtmoRoFCvPsBAumNm6soZG2Gk5GyVTo2sJncSyp0jQTYoR6WDvTwaaEcHsxHfvuWhHA3a6bN7twRKtcGok6NsCi7jYRrM2jExsUFMxMQYuJbMhuWNOumEJy9hi29Dmg5zMp/A5+hhPG19j1vBrq8JTLr8ki5VLPmG/PynJHVul440bxg5xuymHUFPBshC+nA9I1FmwbRBTNHAcik3Oae0cxKoI3MOriM42UrPe51nsaGxJ+WfXubAsP84aabUlQSJ1IiE0iPETLUU4CATgfXSCSpuRFRmCGbO+wSpAnzaeaCYW1VNEysRtuXCEL1kUFUbbtMv3Tilt/1c11jt3Q5bbMa84cpWipp8Elw3MZhOHsOlwwVUQM3lAR35JiFQbaYCRnMF2lxAWoOg2gyoIV4PouX8HytNIfLhqpJtXB4vjiViUI8IJ7bkC4ikkQvKksnOTKICwnqWSZ9YS5f0WCxmpgjbIq7EJcM4aI2nmhLNY2JIUgOjXZFWBHb+x5oh6cwb0Tv1ackHdKi0I9OO2wE9aogIOn540CCCziyhN+IaejtgAONKznHlHyutPrHGwCx9S6B8kfS4Mfi4Eyv7OU730bT1SCBjt834cXsf43zVjPUqqJjgrjeGnBxSG4aYAKFuVbeCfkDIjAqMb6yLNIbCuvXhMH2/+k2vkNpkORhR59N1CkzoOENvneIosjYmuTxlhUzaGEJQ/iWqx4dmwpmKjrwTiTGTCVozNAYqk/zXOndWxuWSmJkQpJw3pK5KX6QrLt5LATMqpmPAQhkhK6PUjzHUn7E0gHE0kPE0iKkolgkUx9SZmVAdDgpffdyJKg3k7VmzYGCwVXGz/tXmkOIp+vcWs+EMuhhvN0h9uhfzWJziBQmCREGSIFmQIkgVpAnSBRmC//6hkLZwaVhwxlrJSOdqlFtOYxlau9F2QN5Y98xmIAsiM1HVp2VFX+DHHGg6Ecjh3vmqtidX3qHI2qycTk/iwxSt5UzTmEP92ZBnEWTk4Mx8Mpl78ZDokxg/KWb+Q0QkvdKVmq3TMW+RXEgrsziSAfNXFMhDc60N5N9jQzjfO0kBKpUZl0ZmwJ41j/B9Hz6wmRaJB84niNmQrzp9eSlQCDDzazGDdVi3P36VZQ+Jy4f9UBNp+3zTjqI4abaFAm+GShVaXlsGdF3FYzZcDI6cori4kMxUECl9IjJZpzkvitAoxKue+90pDMvcKRxLl53TmOKCmV/xRolNKSqqUxc6LStOETmFOiLZZptlZepcKiAzteG8PEdpnQpbOMNcMsR4RR2Bs0cKFEvSmIjAFcnarqwUL4lDhHmnVkwu1IwshbiCcgvOheZuYyOteufZZwlcTlLgnZ3o/WcYdzZHW/WGaqaVfmTZ1aWCceJjkbZqsfbkOtcFlUZM/jy+hXHDbaUobWqqXaeWobbLO99yG5N3U4wxco0rQGGcOLASFMXeJoham8M+/x6O2WywK2l4HGbq1CoUyC/IZikQhdq3SiuNrvAEj0AVu9x2x3lp/xWzahaxidezFVtdcb5uEnzyl0ZmYiuKI0exvCd4Xc9CV1KB0db00z92wDPde0kukbvZIWN6jUWFTmPIC/Y4UPCm8UfDTFZpZNon1qLFTkBhxzB+FjQRA2Q/YRJT8pQigslMaUpFyAG8TMlXigiqmAZX4xgijKjRlGpLE0GdplRfCaJo0JQaSxNBk6ZmMzcya0FmrcisDdn0Q3HI2sWSppYigmlM1XT/kLQZSNpMJG0WkjYbSZuDpM1F0uYhFc1HxU4m1QJjDK6iL0S5uSj5rgXc3RejEigtcRBtqYPQsiTskmO5vosV+q4VGIKbOkDg0jtRrq+Em1YloaTFar3EGr1EUC8R0kus1Uus00usL97ABr2BjXoDm/QGNhuWtMVBKOwg/i78lT7hBsAvDmwHc/ao3vmUbBmhjeYySZNWvGkfZAgISDSaDo1SVpzGDsAEkF8B+gEapViUoZgUWXcRIGFZNm6gWbAKk0bp0k1MHG9fLYtV4iS2SmLEQFARzRcnf9PUS0LVn05/J9MiRRBU3v2IrvW974v4N00L7ZMk0wXP1409CHo/an8zTRHD3eSJ6m8D4YMkZNl3M79sqeuAsr/m3f+8/yl7A50aiAEJgeBeMWzu7ui9UfUBCe2TIqZIoOd/3/udRBOQidQZUERzb2/VwZN1H/Sju82ew2H2Wfr6qvfVf3hqwDvAIpkQVFy4B9Pe9e4/XvPeceu7h3dvO56iJPf0+A6cqA2ip18ER+iFgggiuOkvj24bby0N9j2UHIkgqIt+sVgfodC4YghLSMjSZbH0VR/6dMDrYJeKHilKTemt6v6kvzvn3/RrdWtr0GoN/xL+Sex/cPYLUpepx9cz/D46UPU5KXgAQa+NDps1v6J3xP1i2HtaDB0M9aX2deA7SYff//+gUCovMmIK/qfsFcOk+4Y5ZN97XlG6zebqtMbKgeRFi51vnxTQYBUik2rS/Cn6PC8ADR8FGxsRPB82dzfND90gIcshOcYUkfjherBz53odpm6TP8txlwOZ71xmfHHOvq053qFF/MRlS3jP0ELudrf2OeN8DHvp6ZceLe8qKYvWz/7yp0u4dKPfli3CYq0O13Ih71mylJ80tOi10On8wi+F4+LWgDPeJ30msSQt9/vkmHq9/Lvo2b461mP801v3W4xTcs6CbvF9UDdrSt+A8OUbpSh55qAUFXWznBBfdeJ8a4d7ugT5tvxUza3h9m4H7ptTqiG4z0g5dc0X29OcGlhpGFMpQo9ytTS+NViZpNdvU4kWx+LKxNY10kQ1yqGXrhe4/1nvP7E+nd5A92TtaRplbHSqoIdOqtRWti+fkB5/n1+/VvCmz12pG1kpQWsfi1ftlBobm0bpngs16CHkbIwdLnParxtTV3QYRlfJ0KFskH7pdN/YDn+yRuSd7sNH3aO0DYPggk6uWuXrfOc+fa3VTxFVvKaNxHsiHmsXyCLIE5yuOeN3/Jdf8HBL/5M6shjyhxHx9BjB1O0+4NLOnjLLSxwO7ukN4jMbOIcD879KLSi6Pk61Oqm2377n8079PXEEQ7cy7OKEC9nbpet118fxweTafpt69x/Bt8UqGzNQt7aelpc44dn5cqhwf71+qKp/Zf/+a0zcizOUWpl/iBcSXip0pplkatCchoH5c5aUM8I7/dWxAej8WicPL1URFZ9BDJelUwEwTkGqUhgSlydVes95YdXvhh9Gfz/aeFWvgVb4tuLbcv4+wLdutVZv/cUonwBD/6eDlE0aSiKK/uoH3+J1wDE/jMVqY2ysGufN84oIXB0sPzy8ollX/LegY74DgJXJR57sn+VGza0x3DnuIgABFM15LmajjjsNlYj+JEZGbuRYcAMOWxFkPN2w6Wd46xo4gVWQR/X4lyI/R6K/YK0110GzudPRW7Y+UOBGTfNNzHeYT0fiH0taunBpq9HEW8OKSaBGj21L0MqenEmNRWBAWDWAk4CpNoEZJ2tTaPFgbQYj8HxtFilErs3BTRwT8uO1NXQaWfIotchmPkAF5mMBAliEmZiOGVgCG9LgRzpscMAOOwowlT3JhusdazXGSC/hxR3UlmWVwWHpOIKheqONvjyhSiTHIkVUco5bnji8m//zL7PKaT1Vl5I6UE609f+gkr6MZKVyKc7zJRmCahLsdlyA5fdQkRSan9LgnnLEyGSkaKJCJog0wAgvepWBt80+1yKln1bMVtCljfNWDueKLsWwaEbBSfSPTEmVRsUcYYMnEjcjeyCZzBXK9E9BYBXLKjOSpUDR+nEV3TFSUdQaz+ot98QxgXwx0GQ+EEUAKB2qZPkQQ0GqFD8UPFMqyaCHM24BZmSGic9EYMagKizOw9Hz50DMrDLrqqLkTAhplMictiCAx5S3BIUQdeJeLnBy2CNtMfz6cV4u8XKoFZQesbf9YZiIERiHjaNodDW6LgcirX/mPnJIkBGDUpTBhSa0EIr38D5hCIszhCM8URGBqImoWjpvpt1ebu/v3Gl3qJfMnNM+9V+kiRFyROTPHQWOcs1dNW94/ukKMPZBvDi55i5CttdeJz84DLngLqjcdwEZ87bFFR8CIG35OAkDVN6VRDZ7aq67NteYqZ2lpT8oYB2CytoBd6VuAx4WgiAsnuj3WohG+LugzXiQRDeM3XYXlULv4dp5VFYC) 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{font: 1.21em KaTeX_Main,Times New Roman,serif;line-height:1.2;position:relative;text-indent:0;text-rendering:auto}.katex *{-ms-high-contrast-adjust:none!important;border-color:currentColor}.katex .katex-version:after{content:"0.16.47"}.katex .katex-mathml{border:0;-webkit-clip-path:inset(50%);clip-path:inset(50%);height:1px;overflow:hidden;padding:0;position:absolute;width:1px}.katex .katex-html>.newline{display:block}.katex .base{position:relative;white-space:nowrap;width:-webkit-min-content;width:-moz-min-content;width:min-content}.katex .base,.katex .strut{display:inline-block}.katex .textbf{font-weight:700}.katex .textit{font-style:italic}.katex .textrm{font-family:KaTeX_Main}.katex .textsf{font-family:KaTeX_SansSerif}.katex .texttt{font-family:KaTeX_Typewriter}.katex .mathnormal{font-family:KaTeX_Math;font-style:italic}.katex .mathit{font-family:KaTeX_Main;font-style:italic}.katex .mathrm{font-style:normal}.katex .mathbf{font-family:KaTeX_Main;font-weight:700}.katex .boldsymbol{font-family:KaTeX_Math;font-style:italic;font-weight:700}.katex .amsrm,.katex .mathbb,.katex .textbb{font-family:KaTeX_AMS}.katex .mathcal{font-family:KaTeX_Caligraphic}.katex .mathfrak,.katex .textfrak{font-family:KaTeX_Fraktur}.katex .mathboldfrak,.katex .textboldfrak{font-family:KaTeX_Fraktur;font-weight:700}.katex .mathtt{font-family:KaTeX_Typewriter}.katex .mathscr,.katex .textscr{font-family:KaTeX_Script}.katex .mathsf,.katex .textsf{font-family:KaTeX_SansSerif}.katex .mathboldsf,.katex .textboldsf{font-family:KaTeX_SansSerif;font-weight:700}.katex .mathitsf,.katex .mathsfit,.katex .textitsf{font-family:KaTeX_SansSerif;font-style:italic}.katex .mainrm{font-family:KaTeX_Main;font-style:normal}.katex .vlist-t{border-collapse:collapse;display:inline-table;table-layout:fixed}.katex .vlist-r{display:table-row}.katex .vlist{display:table-cell;position:relative;vertical-align:bottom}.katex .vlist>span{display:block;height:0;position:relative}.katex .vlist>span>span{display:inline-block}.katex .vlist>span>.pstrut{overflow:hidden;width:0}.katex .vlist-t2{margin-right:-2px}.katex .vlist-s{display:table-cell;font-size:1px;min-width:2px;vertical-align:bottom;width:2px}.katex .vbox{align-items:baseline;display:inline-flex;flex-direction:column}.katex .hbox{width:100%}.katex .hbox,.katex .thinbox{display:inline-flex;flex-direction:row}.katex .thinbox{max-width:0;width:0}.katex .msupsub{text-align:left}.katex .mfrac>span>span{text-align:center}.katex .mfrac .frac-line{border-bottom-style:solid;display:inline-block;width:100%}.katex .hdashline,.katex .hline,.katex .mfrac .frac-line,.katex .overline .overline-line,.katex .rule,.katex .underline .underline-line{min-height:1px}.katex .mspace{display:inline-block}.katex .smash{display:inline;line-height:0}.katex .clap,.katex .llap,.katex .rlap{position:relative;width:0}.katex .clap>.inner,.katex .llap>.inner,.katex .rlap>.inner{position:absolute}.katex .clap>.fix,.katex .llap>.fix,.katex .rlap>.fix{display:inline-block}.katex .llap>.inner{right:0}.katex .clap>.inner,.katex .rlap>.inner{left:0}.katex .clap>.inner>span{margin-left:-50%;margin-right:50%}.katex .rule{border:0 solid;display:inline-block;position:relative}.katex .hline,.katex .overline .overline-line,.katex .underline .underline-line{border-bottom-style:solid;display:inline-block;width:100%}.katex .hdashline{border-bottom-style:dashed;display:inline-block;width:100%}.katex .sqrt>.root{margin-left:.2777777778em;margin-right:-.5555555556em}.katex .fontsize-ensurer.reset-size1.size1,.katex .sizing.reset-size1.size1{font-size:1em}.katex .fontsize-ensurer.reset-size1.size2,.katex .sizing.reset-size1.size2{font-size:1.2em}.katex .fontsize-ensurer.reset-size1.size3,.katex .sizing.reset-size1.size3{font-size:1.4em}.katex .fontsize-ensurer.reset-size1.size4,.katex .sizing.reset-size1.size4{font-size:1.6em}.katex .fontsize-ensurer.reset-size1.size5,.katex .sizing.reset-size1.size5{font-size:1.8em}.katex .fontsize-ensurer.reset-size1.size6,.katex .sizing.reset-size1.size6{font-size:2em}.katex .fontsize-ensurer.reset-size1.size7,.katex .sizing.reset-size1.size7{font-size:2.4em}.katex .fontsize-ensurer.reset-size1.size8,.katex .sizing.reset-size1.size8{font-size:2.88em}.katex .fontsize-ensurer.reset-size1.size9,.katex .sizing.reset-size1.size9{font-size:3.456em}.katex .fontsize-ensurer.reset-size1.size10,.katex .sizing.reset-size1.size10{font-size:4.148em}.katex .fontsize-ensurer.reset-size1.size11,.katex .sizing.reset-size1.size11{font-size:4.976em}.katex .fontsize-ensurer.reset-size2.size1,.katex .sizing.reset-size2.size1{font-size:.8333333333em}.katex .fontsize-ensurer.reset-size2.size2,.katex .sizing.reset-size2.size2{font-size:1em}.katex .fontsize-ensurer.reset-size2.size3,.katex .sizing.reset-size2.size3{font-size:1.1666666667em}.katex .fontsize-ensurer.reset-size2.size4,.katex .sizing.reset-size2.size4{font-size:1.3333333333em}.katex .fontsize-ensurer.reset-size2.size5,.katex .sizing.reset-size2.size5{font-size:1.5em}.katex .fontsize-ensurer.reset-size2.size6,.katex .sizing.reset-size2.size6{font-size:1.6666666667em}.katex .fontsize-ensurer.reset-size2.size7,.katex .sizing.reset-size2.size7{font-size:2em}.katex .fontsize-ensurer.reset-size2.size8,.katex .sizing.reset-size2.size8{font-size:2.4em}.katex .fontsize-ensurer.reset-size2.size9,.katex .sizing.reset-size2.size9{font-size:2.88em}.katex .fontsize-ensurer.reset-size2.size10,.katex .sizing.reset-size2.size10{font-size:3.4566666667em}.katex .fontsize-ensurer.reset-size2.size11,.katex .sizing.reset-size2.size11{font-size:4.1466666667em}.katex .fontsize-ensurer.reset-size3.size1,.katex .sizing.reset-size3.size1{font-size:.7142857143em}.katex .fontsize-ensurer.reset-size3.size2,.katex .sizing.reset-size3.size2{font-size:.8571428571em}.katex .fontsize-ensurer.reset-size3.size3,.katex .sizing.reset-size3.size3{font-size:1em}.katex .fontsize-ensurer.reset-size3.size4,.katex .sizing.reset-size3.size4{font-size:1.1428571429em}.katex .fontsize-ensurer.reset-size3.size5,.katex .sizing.reset-size3.size5{font-size:1.2857142857em}.katex .fontsize-ensurer.reset-size3.size6,.katex .sizing.reset-size3.size6{font-size:1.4285714286em}.katex .fontsize-ensurer.reset-size3.size7,.katex .sizing.reset-size3.size7{font-size:1.7142857143em}.katex .fontsize-ensurer.reset-size3.size8,.katex .sizing.reset-size3.size8{font-size:2.0571428571em}.katex .fontsize-ensurer.reset-size3.size9,.katex .sizing.reset-size3.size9{font-size:2.4685714286em}.katex .fontsize-ensurer.reset-size3.size10,.katex .sizing.reset-size3.size10{font-size:2.9628571429em}.katex .fontsize-ensurer.reset-size3.size11,.katex .sizing.reset-size3.size11{font-size:3.5542857143em}.katex .fontsize-ensurer.reset-size4.size1,.katex .sizing.reset-size4.size1{font-size:.625em}.katex .fontsize-ensurer.reset-size4.size2,.katex .sizing.reset-size4.size2{font-size:.75em}.katex .fontsize-ensurer.reset-size4.size3,.katex .sizing.reset-size4.size3{font-size:.875em}.katex .fontsize-ensurer.reset-size4.size4,.katex .sizing.reset-size4.size4{font-size:1em}.katex .fontsize-ensurer.reset-size4.size5,.katex .sizing.reset-size4.size5{font-size:1.125em}.katex .fontsize-ensurer.reset-size4.size6,.katex .sizing.reset-size4.size6{font-size:1.25em}.katex .fontsize-ensurer.reset-size4.size7,.katex .sizing.reset-size4.size7{font-size:1.5em}.katex .fontsize-ensurer.reset-size4.size8,.katex .sizing.reset-size4.size8{font-size:1.8em}.katex .fontsize-ensurer.reset-size4.size9,.katex .sizing.reset-size4.size9{font-size:2.16em}.katex .fontsize-ensurer.reset-size4.size10,.katex .sizing.reset-size4.size10{font-size:2.5925em}.katex .fontsize-ensurer.reset-size4.size11,.katex .sizing.reset-size4.size11{font-size:3.11em}.katex .fontsize-ensurer.reset-size5.size1,.katex .sizing.reset-size5.size1{font-size:.5555555556em}.katex .fontsize-ensurer.reset-size5.size2,.katex .sizing.reset-size5.size2{font-size:.6666666667em}.katex .fontsize-ensurer.reset-size5.size3,.katex .sizing.reset-size5.size3{font-size:.7777777778em}.katex .fontsize-ensurer.reset-size5.size4,.katex .sizing.reset-size5.size4{font-size:.8888888889em}.katex .fontsize-ensurer.reset-size5.size5,.katex .sizing.reset-size5.size5{font-size:1em}.katex .fontsize-ensurer.reset-size5.size6,.katex .sizing.reset-size5.size6{font-size:1.1111111111em}.katex .fontsize-ensurer.reset-size5.size7,.katex .sizing.reset-size5.size7{font-size:1.3333333333em}.katex .fontsize-ensurer.reset-size5.size8,.katex .sizing.reset-size5.size8{font-size:1.6em}.katex .fontsize-ensurer.reset-size5.size9,.katex .sizing.reset-size5.size9{font-size:1.92em}.katex .fontsize-ensurer.reset-size5.size10,.katex .sizing.reset-size5.size10{font-size:2.3044444444em}.katex .fontsize-ensurer.reset-size5.size11,.katex .sizing.reset-size5.size11{font-size:2.7644444444em}.katex .fontsize-ensurer.reset-size6.size1,.katex .sizing.reset-size6.size1{font-size:.5em}.katex .fontsize-ensurer.reset-size6.size2,.katex .sizing.reset-size6.size2{font-size:.6em}.katex .fontsize-ensurer.reset-size6.size3,.katex .sizing.reset-size6.size3{font-size:.7em}.katex .fontsize-ensurer.reset-size6.size4,.katex .sizing.reset-size6.size4{font-size:.8em}.katex .fontsize-ensurer.reset-size6.size5,.katex .sizing.reset-size6.size5{font-size:.9em}.katex .fontsize-ensurer.reset-size6.size6,.katex .sizing.reset-size6.size6{font-size:1em}.katex .fontsize-ensurer.reset-size6.size7,.katex .sizing.reset-size6.size7{font-size:1.2em}.katex .fontsize-ensurer.reset-size6.size8,.katex .sizing.reset-size6.size8{font-size:1.44em}.katex .fontsize-ensurer.reset-size6.size9,.katex .sizing.reset-size6.size9{font-size:1.728em}.katex .fontsize-ensurer.reset-size6.size10,.katex .sizing.reset-size6.size10{font-size:2.074em}.katex .fontsize-ensurer.reset-size6.size11,.katex .sizing.reset-size6.size11{font-size:2.488em}.katex .fontsize-ensurer.reset-size7.size1,.katex .sizing.reset-size7.size1{font-size:.4166666667em}.katex .fontsize-ensurer.reset-size7.size2,.katex .sizing.reset-size7.size2{font-size:.5em}.katex .fontsize-ensurer.reset-size7.size3,.katex .sizing.reset-size7.size3{font-size:.5833333333em}.katex .fontsize-ensurer.reset-size7.size4,.katex .sizing.reset-size7.size4{font-size:.6666666667em}.katex .fontsize-ensurer.reset-size7.size5,.katex .sizing.reset-size7.size5{font-size:.75em}.katex .fontsize-ensurer.reset-size7.size6,.katex .sizing.reset-size7.size6{font-size:.8333333333em}.katex .fontsize-ensurer.reset-size7.size7,.katex .sizing.reset-size7.size7{font-size:1em}.katex .fontsize-ensurer.reset-size7.size8,.katex .sizing.reset-size7.size8{font-size:1.2em}.katex .fontsize-ensurer.reset-size7.size9,.katex .sizing.reset-size7.size9{font-size:1.44em}.katex .fontsize-ensurer.reset-size7.size10,.katex .sizing.reset-size7.size10{font-size:1.7283333333em}.katex .fontsize-ensurer.reset-size7.size11,.katex .sizing.reset-size7.size11{font-size:2.0733333333em}.katex .fontsize-ensurer.reset-size8.size1,.katex .sizing.reset-size8.size1{font-size:.3472222222em}.katex .fontsize-ensurer.reset-size8.size2,.katex .sizing.reset-size8.size2{font-size:.4166666667em}.katex .fontsize-ensurer.reset-size8.size3,.katex .sizing.reset-size8.size3{font-size:.4861111111em}.katex .fontsize-ensurer.reset-size8.size4,.katex .sizing.reset-size8.size4{font-size:.5555555556em}.katex .fontsize-ensurer.reset-size8.size5,.katex .sizing.reset-size8.size5{font-size:.625em}.katex .fontsize-ensurer.reset-size8.size6,.katex .sizing.reset-size8.size6{font-size:.6944444444em}.katex .fontsize-ensurer.reset-size8.size7,.katex .sizing.reset-size8.size7{font-size:.8333333333em}.katex .fontsize-ensurer.reset-size8.size8,.katex .sizing.reset-size8.size8{font-size:1em}.katex .fontsize-ensurer.reset-size8.size9,.katex .sizing.reset-size8.size9{font-size:1.2em}.katex .fontsize-ensurer.reset-size8.size10,.katex .sizing.reset-size8.size10{font-size:1.4402777778em}.katex .fontsize-ensurer.reset-size8.size11,.katex .sizing.reset-size8.size11{font-size:1.7277777778em}.katex .fontsize-ensurer.reset-size9.size1,.katex .sizing.reset-size9.size1{font-size:.2893518519em}.katex .fontsize-ensurer.reset-size9.size2,.katex .sizing.reset-size9.size2{font-size:.3472222222em}.katex .fontsize-ensurer.reset-size9.size3,.katex .sizing.reset-size9.size3{font-size:.4050925926em}.katex .fontsize-ensurer.reset-size9.size4,.katex .sizing.reset-size9.size4{font-size:.462962963em}.katex .fontsize-ensurer.reset-size9.size5,.katex .sizing.reset-size9.size5{font-size:.5208333333em}.katex .fontsize-ensurer.reset-size9.size6,.katex .sizing.reset-size9.size6{font-size:.5787037037em}.katex .fontsize-ensurer.reset-size9.size7,.katex .sizing.reset-size9.size7{font-size:.6944444444em}.katex .fontsize-ensurer.reset-size9.size8,.katex .sizing.reset-size9.size8{font-size:.8333333333em}.katex .fontsize-ensurer.reset-size9.size9,.katex .sizing.reset-size9.size9{font-size:1em}.katex .fontsize-ensurer.reset-size9.size10,.katex .sizing.reset-size9.size10{font-size:1.2002314815em}.katex .fontsize-ensurer.reset-size9.size11,.katex .sizing.reset-size9.size11{font-size:1.4398148148em}.katex .fontsize-ensurer.reset-size10.size1,.katex .sizing.reset-size10.size1{font-size:.2410800386em}.katex .fontsize-ensurer.reset-size10.size2,.katex .sizing.reset-size10.size2{font-size:.2892960463em}.katex .fontsize-ensurer.reset-size10.size3,.katex .sizing.reset-size10.size3{font-size:.337512054em}.katex .fontsize-ensurer.reset-size10.size4,.katex .sizing.reset-size10.size4{font-size:.3857280617em}.katex .fontsize-ensurer.reset-size10.size5,.katex .sizing.reset-size10.size5{font-size:.4339440694em}.katex .fontsize-ensurer.reset-size10.size6,.katex .sizing.reset-size10.size6{font-size:.4821600771em}.katex .fontsize-ensurer.reset-size10.size7,.katex .sizing.reset-size10.size7{font-size:.5785920926em}.katex .fontsize-ensurer.reset-size10.size8,.katex .sizing.reset-size10.size8{font-size:.6943105111em}.katex .fontsize-ensurer.reset-size10.size9,.katex .sizing.reset-size10.size9{font-size:.8331726133em}.katex .fontsize-ensurer.reset-size10.size10,.katex .sizing.reset-size10.size10{font-size:1em}.katex .fontsize-ensurer.reset-size10.size11,.katex .sizing.reset-size10.size11{font-size:1.1996142719em}.katex .fontsize-ensurer.reset-size11.size1,.katex .sizing.reset-size11.size1{font-size:.2009646302em}.katex .fontsize-ensurer.reset-size11.size2,.katex .sizing.reset-size11.size2{font-size:.2411575563em}.katex .fontsize-ensurer.reset-size11.size3,.katex .sizing.reset-size11.size3{font-size:.2813504823em}.katex .fontsize-ensurer.reset-size11.size4,.katex .sizing.reset-size11.size4{font-size:.3215434084em}.katex .fontsize-ensurer.reset-size11.size5,.katex .sizing.reset-size11.size5{font-size:.3617363344em}.katex .fontsize-ensurer.reset-size11.size6,.katex .sizing.reset-size11.size6{font-size:.4019292605em}.katex .fontsize-ensurer.reset-size11.size7,.katex .sizing.reset-size11.size7{font-size:.4823151125em}.katex .fontsize-ensurer.reset-size11.size8,.katex .sizing.reset-size11.size8{font-size:.578778135em}.katex .fontsize-ensurer.reset-size11.size9,.katex .sizing.reset-size11.size9{font-size:.6945337621em}.katex .fontsize-ensurer.reset-size11.size10,.katex .sizing.reset-size11.size10{font-size:.8336012862em}.katex .fontsize-ensurer.reset-size11.size11,.katex .sizing.reset-size11.size11{font-size:1em}.katex .delimsizing.size1{font-family:KaTeX_Size1}.katex .delimsizing.size2{font-family:KaTeX_Size2}.katex .delimsizing.size3{font-family:KaTeX_Size3}.katex .delimsizing.size4{font-family:KaTeX_Size4}.katex .delimsizing.mult .delim-size1>span{font-family:KaTeX_Size1}.katex .delimsizing.mult .delim-size4>span{font-family:KaTeX_Size4}.katex .nulldelimiter{display:inline-block;width:.12em}.katex .delimcenter,.katex .op-symbol{position:relative}.katex .op-symbol.small-op{font-family:KaTeX_Size1}.katex .op-symbol.large-op{font-family:KaTeX_Size2}.katex .accent>.vlist-t,.katex .op-limits>.vlist-t{text-align:center}.katex .accent .accent-body{position:relative}.katex .accent .accent-body:not(.accent-full){width:0}.katex .overlay{display:block}.katex .mtable .vertical-separator{display:inline-block;min-width:1px}.katex .mtable .arraycolsep{display:inline-block}.katex .mtable .col-align-c>.vlist-t{text-align:center}.katex .mtable .col-align-l>.vlist-t{text-align:left}.katex .mtable .col-align-r>.vlist-t{text-align:right}.katex .svg-align{text-align:left}.katex svg{fill:currentColor;stroke:currentColor;display:block;height:inherit;position:absolute;width:100%}.katex svg path{stroke:none}.katex svg{fill-rule:nonzero;fill-opacity:1;stroke-width:1;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:4;stroke-dasharray:none;stroke-dashoffset:0;stroke-opacity:1}.katex img{border-style:none;max-height:none;max-width:none;min-height:0;min-width:0}.katex .stretchy{display:block;overflow:hidden;position:relative;width:100%}.katex .stretchy:after,.katex .stretchy:before{content:""}.katex .hide-tail{overflow:hidden;position:relative;width:100%}.katex .halfarrow-left{left:0;overflow:hidden;position:absolute;width:50.2%}.katex .halfarrow-right{overflow:hidden;position:absolute;right:0;width:50.2%}.katex .brace-left{left:0;overflow:hidden;position:absolute;width:25.1%}.katex .brace-center{left:25%;overflow:hidden;position:absolute;width:50%}.katex .brace-right{overflow:hidden;position:absolute;right:0;width:25.1%}.katex .x-arrow-pad{padding:0 .5em}.katex .cd-arrow-pad{padding:0 .55556em 0 .27778em}.katex .mover,.katex .munder,.katex .x-arrow{text-align:center}.katex .boxpad{padding:0 .3em}.katex .fbox,.katex .fcolorbox{border:.04em solid;box-sizing:border-box}.katex .cancel-pad{padding:0 .2em}.katex .cancel-lap{margin-left:-.2em;margin-right:-.2em}.katex .sout{border-bottom-style:solid;border-bottom-width:.08em}.katex .angl{border-right:.049em solid;border-top:.049em solid;box-sizing:border-box;margin-right:.03889em}.katex .anglpad{padding:0 .03889em}.katex .eqn-num:before{content:"(" counter(katexEqnNo) ")";counter-increment:katexEqnNo}.katex .mml-eqn-num:before{content:"(" counter(mmlEqnNo) ")";counter-increment:mmlEqnNo}.katex .mtr-glue{width:50%}.katex .cd-vert-arrow{display:inline-block;position:relative}.katex .cd-label-left{display:inline-block;position:absolute;right:calc(50% + .3em);text-align:left}.katex .cd-label-right{display:inline-block;left:calc(50% + .3em);position:absolute;text-align:right}.katex-display{display:block;margin:1em 0;text-align:center}.katex-display>.katex{display:block;text-align:center;white-space:nowrap}.katex-display>.katex>.katex-html{display:block;position:relative}.katex-display>.katex>.katex-html>.tag{position:absolute;right:0}.katex-display.leqno>.katex>.katex-html>.tag{left:0;right:auto}.katex-display.fleqn>.katex{padding-left:2em;text-align:left}body{counter-reset:katexEqnNo mmlEqnNo}