:root{--bg: #0a1320;--panel: rgba(10, 20, 34, .84);--card: rgba(16, 28, 46, .88);--text: #ecf4ff;--muted: #9eb0c7;--border: rgba(158, 176, 199, .12);--soft-border: rgba(158, 176, 199, .08);--accent: #53c4ff;--accent-2: #7d7cff;--success: #4ade80;--warning: #fbbf24;--danger: #fb7185;--shadow: 0 18px 44px rgba(2, 10, 24, .28)}:root[data-theme=light]{--bg: #f4f7fb;--panel: rgba(255, 255, 255, .88);--card: rgba(255, 255, 255, .96);--text: #102033;--muted: #5d6d82;--border: rgba(16, 32, 51, .1);--soft-border: rgba(16, 32, 51, .06);--accent: #0676d9;--accent-2: #4f46e5;--success: #16a34a;--warning: #ca8a04;--danger: #e11d48;--shadow: 0 12px 34px rgba(15, 23, 42, .08)}*{box-sizing:border-box}html,body,#root{min-height:100%}body{margin:0;font-family:Inter,system-ui,sans-serif;background:radial-gradient(circle at top left,rgba(83,196,255,.1),transparent 24%),radial-gradient(circle at top right,rgba(125,124,255,.08),transparent 24%),var(--bg);color:var(--text)}button,input,textarea,summary{font:inherit}button{cursor:pointer}input,textarea{width:100%;background:#ffffff09;color:var(--text);border:1px solid var(--border);border-radius:16px;padding:.95rem 1rem}textarea{resize:vertical}.app-shell{max-width:1240px;margin:0 auto;padding:1.25rem 1rem 2.5rem}.top-strip,.lesson-intro,.wizard,.support-drawer,.lesson-map-surface{background:var(--panel);border:1px solid var(--border);border-radius:28px;box-shadow:var(--shadow);-webkit-backdrop-filter:blur(12px);backdrop-filter:blur(12px)}.top-strip{display:flex;justify-content:space-between;align-items:flex-start;gap:1rem;padding:1.35rem 1.4rem;margin-bottom:1rem}.header-main-row{display:flex;align-items:flex-start;gap:1rem;flex:1}.menu-toggle{display:none;align-items:center;gap:.55rem;border:1px solid var(--border);border-radius:18px;padding:.9rem 1rem;background:#ffffff0a;color:var(--text);font-weight:700;flex-shrink:0}.menu-toggle span{display:inline-block}.brand-copy h1{margin:0;font-size:clamp(1.5rem,2vw,2.2rem);line-height:1.15}.attribution-line{margin-top:.8rem;color:var(--text);font-weight:700}.subheader{margin:.5rem 0 0;color:var(--muted);line-height:1.55;max-width:65ch}.eyebrow{margin:0 0 .45rem;color:var(--accent);text-transform:uppercase;letter-spacing:.12em;font-size:.74rem;font-weight:700}.lesson-intro{display:grid;grid-template-columns:minmax(0,1fr) 260px;gap:1rem;align-items:center;padding:1.2rem 1.3rem;margin-bottom:1rem}.lesson-intro h2,.wizard h2,.card h3,.coach-header h2,.formula-panel h3{margin:0}.lesson-intro-copy,.wizard-subcopy,.coach-header p:last-child,.feedback-card,.muted{color:var(--muted)}.lesson-progress-block{padding:1rem;border-radius:22px;background:#ffffff08;border:1px solid var(--soft-border)}.lesson-progress-copy{display:grid;gap:.2rem;margin-bottom:.55rem}.progress-support-copy{margin:.4rem 0 0;font-size:.93rem}.focus-layout{display:grid;gap:1rem}.focus-layout.with-sidebar{grid-template-columns:minmax(290px,330px) minmax(0,1fr);align-items:start}.main-column{display:grid;gap:1rem}.theme-toggle,.primary-btn,.ghost-btn,.secondary-btn,.wizard-step-chip{border:1px solid var(--border);border-radius:18px;padding:.9rem 1rem;color:var(--text);background:#ffffff0a;transition:transform .18s ease,border-color .18s ease,background .18s ease,opacity .18s ease}.theme-toggle:hover,.primary-btn:hover,.ghost-btn:hover,.secondary-btn:hover{transform:translateY(-1px);border-color:#53c4ff66}.primary-btn{background:linear-gradient(135deg,var(--accent),var(--accent-2));color:#fff;border:none;font-weight:700;box-shadow:0 12px 26px #53c4ff33}.secondary-btn{background:#53c4ff1a}.ghost-btn.selected,.progress-item.active,.option.selected{outline:2px solid var(--accent)}.ghost-btn:disabled,.primary-btn:disabled,.secondary-btn:disabled{opacity:.55;cursor:not-allowed;transform:none}.small{padding:.62rem .8rem;font-size:.88rem}.card{background:var(--card);border:1px solid var(--soft-border);border-radius:24px;padding:1.2rem}.lesson-map-shell{position:sticky;top:1rem}.lesson-map-surface{padding:1rem}.lesson-map-topbar{display:flex;align-items:center;justify-content:space-between;gap:.8rem;margin-bottom:.9rem}.drawer-backdrop,.close-drawer-btn{display:none}.coach-sidebar,.formula-panel,.wizard{padding:1.15rem}.coach-sidebar-compact,.formula-panel.compact-panel{padding:0}.coach-header h1,.coach-header h2,.formula-panel h3,.wizard h2,.card h3{margin-top:0}.row-between,.button-row,.wizard-topbar,.mobile-progress-topline{display:flex;align-items:center;justify-content:space-between;gap:.75rem}.button-row.wrap{flex-wrap:wrap}.button-row.tight{justify-content:flex-start}.wizard-topbar{align-items:flex-start;margin-bottom:1.25rem;padding-bottom:1rem;border-bottom:1px solid var(--soft-border)}.wizard-step-chip{padding:.72rem .95rem;white-space:nowrap;font-weight:700}.wizard-content,.step-layout,.mistake-list,.quiz-list,.steps-stack,.mini-note,.options-list,.submission-form-grid,.support-drawers{display:grid;gap:1rem}.wizard-content{gap:1.15rem}.two-col{display:grid;gap:1rem;grid-template-columns:repeat(2,minmax(0,1fr))}.field-grid,.metrics-grid,.submission-stats-grid{display:grid;grid-template-columns:repeat(auto-fit,minmax(170px,1fr));gap:.9rem}.metric-card,.progress-summary-card{padding:1rem;border-radius:20px;border:1px solid var(--soft-border);background:#ffffff06}.metric-card span,.progress-summary-card span{display:block;color:var(--muted);margin-bottom:.28rem}.metric-card strong,.progress-summary-card strong{font-size:1.05rem}.progress-bar{width:100%;height:10px;border-radius:999px;background:#ffffff14;overflow:hidden;margin:.75rem 0 0}.progress-bar span{display:block;height:100%;background:linear-gradient(90deg,var(--accent),var(--success));transition:width .26s ease}.compact-progress{margin-top:0}.progress-list{display:grid;gap:.55rem;margin-top:.85rem}.progress-item{width:100%;text-align:left;padding:.82rem .9rem;border-radius:18px;border:1px solid var(--soft-border);background:#ffffff06;color:var(--text);display:flex;gap:.75rem;align-items:center}.progress-item-copy{display:grid;gap:.12rem}.progress-item-copy strong{font-size:.95rem}.progress-item-copy small{color:var(--muted)}.calm-progress-list .progress-item span:first-child{width:1.35rem;text-align:center;font-weight:700;color:var(--muted)}.progress-item.locked{opacity:.62}.progress-summary-row{display:grid;grid-template-columns:repeat(3,minmax(0,1fr));gap:.75rem;margin:1rem 0}.stats-stack{display:grid;gap:.55rem;margin:.8rem 0 0;color:var(--muted);font-size:.95rem}.report-box{min-height:150px;margin-top:.5rem}.hero-card{padding:1.35rem}.histogram{height:180px;display:grid;grid-template-columns:repeat(8,1fr);align-items:end;gap:.45rem;margin-top:1rem}.hist-bar-wrap{display:flex;flex-direction:column;align-items:center;gap:.35rem;height:100%;justify-content:end}.hist-bar{width:100%;border-radius:12px 12px 4px 4px;min-height:6px}.pill-wrap{display:flex;flex-wrap:wrap;gap:.5rem}.pill,.score-pill{border-radius:999px;padding:.5rem .8rem;background:#53c4ff1a;border:1px solid var(--soft-border)}.token-card,.city-card,.quiz-card,.mistake-card{border:1px solid var(--soft-border);border-radius:20px;background:#ffffff06;padding:1rem}.city-grid.four{display:grid;grid-template-columns:repeat(4,1fr);gap:.8rem;margin-top:.8rem}.city-card{display:grid;gap:.4rem}.grid100{display:grid;grid-template-columns:repeat(10,1fr);gap:.25rem;margin:1rem 0}.grid100-cell{aspect-ratio:1;border-radius:4px;background:#ffffff0d;border:1px solid rgba(255,255,255,.03)}.ci-chart{display:grid;gap:1rem}.ci-row{display:grid;grid-template-columns:90px 1fr 150px;align-items:center;gap:1rem}.ci-track{position:relative;height:18px;background:#ffffff0d;border-radius:999px}.ci-line{position:absolute;top:5px;height:8px;border-radius:999px;background:linear-gradient(90deg,var(--accent),var(--accent-2))}.ci-zero{position:absolute;top:-4px;bottom:-4px;width:2px;background:var(--danger)}.curve-box{padding:1rem;border:1px solid var(--soft-border);border-radius:20px}.curve-svg{width:100%;height:auto}.mistake-card{text-align:left;color:var(--text);display:grid;gap:.6rem}.option{display:grid;grid-template-columns:auto 1fr;gap:.9rem;align-items:center;padding:1rem 1.05rem;border:2px solid var(--soft-border);border-radius:18px;background:#ffffff09;cursor:pointer;min-height:72px}.option input{position:absolute;opacity:0;pointer-events:none}.option:hover{border-color:#53c4ff59;background:#ffffff0f}.option.selected{border-color:#53c4ffd9;background:linear-gradient(180deg,#53c4ff2e,#7d7cff14);box-shadow:0 10px 24px #53c4ff24}.option-marker{width:2.2rem;height:2.2rem;border-radius:999px;display:inline-grid;place-items:center;background:#ffffff0f;border:1px solid var(--soft-border);color:var(--muted);font-weight:800;font-size:.95rem}.option.selected .option-marker{background:#fff;color:#0b1324;border-color:transparent}.option-copy{font-size:1rem;line-height:1.45;font-weight:600}.success-text{color:var(--success)}.warning-text,.error-text{color:var(--warning)}.formula-render{overflow-x:auto}.inset{padding:.9rem 1rem}.field-label{display:block;margin-bottom:.45rem;color:var(--muted);font-size:.92rem}.support-drawers{grid-template-columns:minmax(0,1fr)}.support-drawer{overflow:hidden}.support-drawer summary,.subtle-details summary{list-style:none;display:flex;justify-content:space-between;align-items:center;gap:1rem;padding:1rem 1.1rem;cursor:pointer;font-weight:700}.support-drawer summary::-webkit-details-marker,.subtle-details summary::-webkit-details-marker{display:none}.support-drawer[open] summary,.subtle-details[open] summary{border-bottom:1px solid var(--soft-border)}.support-drawer>*:not(summary),.subtle-details>*:not(summary){padding:1rem}.subtle-details{margin-top:.9rem;border:1px solid var(--soft-border);border-radius:20px;background:#ffffff05}.step-transition-enter{animation:stepFadeSlide .32s ease}@keyframes stepFadeSlide{0%{opacity:0;transform:translateY(12px)}to{opacity:1;transform:translateY(0)}}.complete-step-bar{margin-top:1.25rem;padding-top:1rem;border-top:1px solid var(--soft-border);display:flex;justify-content:space-between;align-items:center;gap:.9rem;flex-wrap:wrap}.complete-step-bar.resolved{background:linear-gradient(180deg,rgba(74,222,128,.05),transparent);border-radius:20px;padding:1rem;border:1px solid rgba(74,222,128,.14)}.wizard-footer-meta{min-width:0;display:flex;align-items:center;gap:.75rem}.completion-state{display:flex;align-items:center;gap:.8rem}.success-state-inline p{margin:.2rem 0 0}.success-icon{display:inline-grid;place-items:center;width:38px;height:38px;border-radius:999px;background:#4ade8024;color:var(--success);font-weight:800}.next-step-cta{font-weight:700;min-width:min(100%,280px)}.locked-overlay{display:flex;align-items:center;justify-content:center;min-height:420px}.locked-card{max-width:420px;text-align:center}.submission-card{display:grid;gap:1rem}.submission-card input{width:100%;padding:.95rem 1rem;border-radius:16px;border:1px solid var(--soft-border);background:#ffffff0a;color:var(--text)}.submission-card input:focus{outline:2px solid rgba(83,196,255,.45);border-color:#53c4ff80}.submission-heading p:last-child{margin-bottom:0}.completion-code-box{text-align:center;padding:1rem;border-radius:22px;border:1px solid rgba(83,196,255,.18);background:linear-gradient(180deg,#53c4ff14,#7d7cff0a)}.completion-code-box strong{display:block;margin-top:.55rem;font-size:clamp(1.6rem,4vw,2.3rem);letter-spacing:.12em;font-family:ui-monospace,SFMono-Regular,Menlo,Consolas,monospace}.hero-code-box{padding:1.4rem}.centered-state{justify-content:center}.submission-actions{justify-content:flex-end}.submit-record-btn,.quiz-submit-btn{min-height:58px;font-size:1rem}.form-helper-text{margin:-.25rem 0 0}.submission-feedback{padding:.95rem 1rem;border-radius:18px;border:1px solid rgba(74,222,128,.18);background:#4ade800f}.error-state-inline{border-color:#f8717133;background:#f8717114}.error-state-inline .success-icon{background:#f8717124;color:#fca5a5}.success-submission{text-align:center}.mobile-only{display:none}.desktop-only{display:block}.mobile-progress-shell,.mobile-accordion,.mobile-support-panels{display:none}@media (max-width: 900px){.top-strip,.lesson-intro,.wizard-topbar,.complete-step-bar{flex-direction:column;align-items:stretch}.lesson-intro,.support-drawers,.two-col,.city-grid.four,.progress-summary-row,.ci-row{grid-template-columns:1fr}.desktop-theme-toggle{width:100%}.focus-layout.with-sidebar{grid-template-columns:1fr}.menu-toggle{display:inline-flex}.lesson-map-shell{position:fixed;top:0;left:0;bottom:0;width:min(360px,88vw);z-index:30;transform:translate(-105%);transition:transform .24s ease;padding:.75rem}.lesson-map-shell.open{transform:translate(0)}.lesson-map-surface{height:100%;overflow-y:auto}.drawer-backdrop{position:fixed;top:0;right:0;bottom:0;left:0;background:#030a1873;z-index:20}.drawer-backdrop.open{display:block}.close-drawer-btn{display:inline-flex}}@media (max-width: 640px){.app-shell{padding:.8rem .75rem 2rem}.top-strip,.lesson-intro,.wizard,.support-drawer,.lesson-map-surface,.card{border-radius:22px}.theme-toggle,.menu-toggle,.primary-btn,.ghost-btn,.secondary-btn,.next-step-cta{width:100%}.wizard,.coach-sidebar,.formula-panel,.progress-item,.option,.mistake-card,.quiz-card,.metric-card,.progress-summary-card{padding:.95rem}.submission-actions{justify-content:stretch}.submission-stats-grid{grid-template-columns:1fr}.report-box{min-height:120px}.completion-code-box strong{letter-spacing:.08em}.header-main-row{flex-direction:column}}@media (max-width: 480px){input,textarea,select{font-size:16px}.subheader{font-size:.96rem}}.single-column-layout{grid-template-columns:1fr}.menu-toggle.always-visible{display:inline-flex}.arabic-support{color:var(--accent);font-weight:600}.lesson-map-modal-shell{position:fixed;top:0;right:0;bottom:0;left:0;z-index:40;display:grid;place-items:center;padding:1rem}.lesson-map-modal-surface{width:min(720px,calc(100vw - 1.5rem));max-height:min(88vh,900px);overflow:auto}.lesson-map-list{margin-top:1rem}.progress-icon{width:1.5rem;text-align:center;font-weight:700}.step-state-label{margin-left:auto;color:var(--muted);font-size:.82rem;white-space:nowrap}.map-summary-row{margin-bottom:.9rem}.polished-submission-card{gap:1.25rem}.certificate-card{border:1px solid rgba(83,196,255,.16);border-radius:24px;background:linear-gradient(180deg,#53c4ff14,#7d7cff0a);padding:1.1rem;display:grid;gap:1rem}.certificate-topline{display:flex;align-items:flex-start;justify-content:space-between;gap:1rem}.certificate-topline h4{margin:0}.certificate-grid{display:grid;grid-template-columns:repeat(auto-fit,minmax(180px,1fr));gap:.85rem}.certificate-grid div{border:1px solid var(--soft-border);border-radius:18px;background:#ffffff0d;padding:.9rem;display:grid;gap:.25rem}.certificate-grid span{color:var(--muted);font-size:.88rem}.status-badge{border-radius:999px;padding:.55rem .85rem;font-size:.9rem;border:1px solid var(--soft-border);background:#ffffff0d}.status-badge.success{color:var(--success);border-color:#4ade8040;background:#4ade8014}.status-badge.warning{color:var(--warning);border-color:#fbbf2440;background:#fbbf2414}.manual-submit-card{display:grid;gap:.4rem}.quiz-card{padding:1.2rem;gap:1rem;background:#ffffff08}.quiz-card>strong{display:block;font-size:1.02rem;line-height:1.5}.options-list{gap:.85rem}.live-submit-card{border-color:#4ade8024;background:#4ade800d}.quiz-results-card{margin-top:1rem;background:#ffffff08}.quiz-next-card{margin-top:.6rem}.wrap-on-mobile{flex-wrap:wrap}@media (max-width: 900px){.lesson-map-modal-shell{align-items:end}.lesson-map-modal-surface{width:100%;max-height:85vh;border-radius:24px 24px 0 0}}@media (max-width: 640px){.certificate-topline{flex-direction:column}.step-state-label{display:none}}@font-face{font-display:block;font-family:KaTeX_AMS;font-style:normal;font-weight:400;src:url(/prelab/hypothesis-testing/assets/KaTeX_AMS-Regular-BQhdFMY1.woff2) format("woff2"),url(/prelab/hypothesis-testing/assets/KaTeX_AMS-Regular-DMm9YOAa.woff) format("woff"),url(/prelab/hypothesis-testing/assets/KaTeX_AMS-Regular-DRggAlZN.ttf) format("truetype")}@font-face{font-display:block;font-family:KaTeX_Caligraphic;font-style:normal;font-weight:700;src:url(/prelab/hypothesis-testing/assets/KaTeX_Caligraphic-Bold-Dq_IR9rO.woff2) format("woff2"),url(/prelab/hypothesis-testing/assets/KaTeX_Caligraphic-Bold-BEiXGLvX.woff) format("woff"),url(/prelab/hypothesis-testing/assets/KaTeX_Caligraphic-Bold-ATXxdsX0.ttf) format("truetype")}@font-face{font-display:block;font-family:KaTeX_Caligraphic;font-style:normal;font-weight:400;src:url(/prelab/hypothesis-testing/assets/KaTeX_Caligraphic-Regular-Di6jR-x-.woff2) format("woff2"),url(/prelab/hypothesis-testing/assets/KaTeX_Caligraphic-Regular-CTRA-rTL.woff) format("woff"),url(/prelab/hypothesis-testing/assets/KaTeX_Caligraphic-Regular-wX97UBjC.ttf) format("truetype")}@font-face{font-display:block;font-family:KaTeX_Fraktur;font-style:normal;font-weight:700;src:url(/prelab/hypothesis-testing/assets/KaTeX_Fraktur-Bold-CL6g_b3V.woff2) format("woff2"),url(/prelab/hypothesis-testing/assets/KaTeX_Fraktur-Bold-BsDP51OF.woff) format("woff"),url(/prelab/hypothesis-testing/assets/KaTeX_Fraktur-Bold-BdnERNNW.ttf) format("truetype")}@font-face{font-display:block;font-family:KaTeX_Fraktur;font-style:normal;font-weight:400;src:url(/prelab/hypothesis-testing/assets/KaTeX_Fraktur-Regular-CTYiF6lA.woff2) format("woff2"),url(/prelab/hypothesis-testing/assets/KaTeX_Fraktur-Regular-Dxdc4cR9.woff) format("woff"),url(/prelab/hypothesis-testing/assets/KaTeX_Fraktur-Regular-CB_wures.ttf) format("truetype")}@font-face{font-display:block;font-family:KaTeX_Main;font-style:normal;font-weight:700;src:url(/prelab/hypothesis-testing/assets/KaTeX_Main-Bold-Cx986IdX.woff2) format("woff2"),url(/prelab/hypothesis-testing/assets/KaTeX_Main-Bold-Jm3AIy58.woff) format("woff"),url(/prelab/hypothesis-testing/assets/KaTeX_Main-Bold-waoOVXN0.ttf) format("truetype")}@font-face{font-display:block;font-family:KaTeX_Main;font-style:italic;font-weight:700;src:url(/prelab/hypothesis-testing/assets/KaTeX_Main-BoldItalic-DxDJ3AOS.woff2) format("woff2"),url(/prelab/hypothesis-testing/assets/KaTeX_Main-BoldItalic-SpSLRI95.woff) format("woff"),url(/prelab/hypothesis-testing/assets/KaTeX_Main-BoldItalic-DzxPMmG6.ttf) format("truetype")}@font-face{font-display:block;font-family:KaTeX_Main;font-style:italic;font-weight:400;src:url(/prelab/hypothesis-testing/assets/KaTeX_Main-Italic-NWA7e6Wa.woff2) format("woff2"),url(/prelab/hypothesis-testing/assets/KaTeX_Main-Italic-BMLOBm91.woff) format("woff"),url(/prelab/hypothesis-testing/assets/KaTeX_Main-Italic-3WenGoN9.ttf) format("truetype")}@font-face{font-display:block;font-family:KaTeX_Main;font-style:normal;font-weight:400;src:url(/prelab/hypothesis-testing/assets/KaTeX_Main-Regular-B22Nviop.woff2) format("woff2"),url(/prelab/hypothesis-testing/assets/KaTeX_Main-Regular-Dr94JaBh.woff) format("woff"),url(/prelab/hypothesis-testing/assets/KaTeX_Main-Regular-ypZvNtVU.ttf) format("truetype")}@font-face{font-display:block;font-family:KaTeX_Math;font-style:italic;font-weight:700;src:url(/prelab/hypothesis-testing/assets/KaTeX_Math-BoldItalic-CZnvNsCZ.woff2) format("woff2"),url(/prelab/hypothesis-testing/assets/KaTeX_Math-BoldItalic-iY-2wyZ7.woff) format("woff"),url(/prelab/hypothesis-testing/assets/KaTeX_Math-BoldItalic-B3XSjfu4.ttf) format("truetype")}@font-face{font-display:block;font-family:KaTeX_Math;font-style:italic;font-weight:400;src:url(/prelab/hypothesis-testing/assets/KaTeX_Math-Italic-t53AETM-.woff2) format("woff2"),url(/prelab/hypothesis-testing/assets/KaTeX_Math-Italic-DA0__PXp.woff) format("woff"),url(/prelab/hypothesis-testing/assets/KaTeX_Math-Italic-flOr_0UB.ttf) format("truetype")}@font-face{font-display:block;font-family:KaTeX_SansSerif;font-style:normal;font-weight:700;src:url(/prelab/hypothesis-testing/assets/KaTeX_SansSerif-Bold-D1sUS0GD.woff2) format("woff2"),url(/prelab/hypothesis-testing/assets/KaTeX_SansSerif-Bold-DbIhKOiC.woff) format("woff"),url(/prelab/hypothesis-testing/assets/KaTeX_SansSerif-Bold-CFMepnvq.ttf) format("truetype")}@font-face{font-display:block;font-family:KaTeX_SansSerif;font-style:italic;font-weight:400;src:url(/prelab/hypothesis-testing/assets/KaTeX_SansSerif-Italic-C3H0VqGB.woff2) format("woff2"),url(/prelab/hypothesis-testing/assets/KaTeX_SansSerif-Italic-DN2j7dab.woff) format("woff"),url(/prelab/hypothesis-testing/assets/KaTeX_SansSerif-Italic-YYjJ1zSn.ttf) format("truetype")}@font-face{font-display:block;font-family:KaTeX_SansSerif;font-style:normal;font-weight:400;src:url(/prelab/hypothesis-testing/assets/KaTeX_SansSerif-Regular-DDBCnlJ7.woff2) format("woff2"),url(/prelab/hypothesis-testing/assets/KaTeX_SansSerif-Regular-CS6fqUqJ.woff) format("woff"),url(/prelab/hypothesis-testing/assets/KaTeX_SansSerif-Regular-BNo7hRIc.ttf) format("truetype")}@font-face{font-display:block;font-family:KaTeX_Script;font-style:normal;font-weight:400;src:url(/prelab/hypothesis-testing/assets/KaTeX_Script-Regular-D3wIWfF6.woff2) format("woff2"),url(/prelab/hypothesis-testing/assets/KaTeX_Script-Regular-D5yQViql.woff) format("woff"),url(/prelab/hypothesis-testing/assets/KaTeX_Script-Regular-C5JkGWo-.ttf) format("truetype")}@font-face{font-display:block;font-family:KaTeX_Size1;font-style:normal;font-weight:400;src:url(/prelab/hypothesis-testing/assets/KaTeX_Size1-Regular-mCD8mA8B.woff2) format("woff2"),url(/prelab/hypothesis-testing/assets/KaTeX_Size1-Regular-C195tn64.woff) format("woff"),url(/prelab/hypothesis-testing/assets/KaTeX_Size1-Regular-Dbsnue_I.ttf) format("truetype")}@font-face{font-display:block;font-family:KaTeX_Size2;font-style:normal;font-weight:400;src:url(/prelab/hypothesis-testing/assets/KaTeX_Size2-Regular-Dy4dx90m.woff2) format("woff2"),url(/prelab/hypothesis-testing/assets/KaTeX_Size2-Regular-oD1tc_U0.woff) format("woff"),url(/prelab/hypothesis-testing/assets/KaTeX_Size2-Regular-B7gKUWhC.ttf) format("truetype")}@font-face{font-display:block;font-family:KaTeX_Size3;font-style:normal;font-weight:400;src:url(data:font/woff2;base64,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) format("woff2"),url(/prelab/hypothesis-testing/assets/KaTeX_Size3-Regular-CTq5MqoE.woff) format("woff"),url(/prelab/hypothesis-testing/assets/KaTeX_Size3-Regular-DgpXs0kz.ttf) format("truetype")}@font-face{font-display:block;font-family:KaTeX_Size4;font-style:normal;font-weight:400;src:url(/prelab/hypothesis-testing/assets/KaTeX_Size4-Regular-Dl5lxZxV.woff2) format("woff2"),url(/prelab/hypothesis-testing/assets/KaTeX_Size4-Regular-BF-4gkZK.woff) format("woff"),url(/prelab/hypothesis-testing/assets/KaTeX_Size4-Regular-DWFBv043.ttf) format("truetype")}@font-face{font-display:block;font-family:KaTeX_Typewriter;font-style:normal;font-weight:400;src:url(/prelab/hypothesis-testing/assets/KaTeX_Typewriter-Regular-CO6r4hn1.woff2) format("woff2"),url(/prelab/hypothesis-testing/assets/KaTeX_Typewriter-Regular-C0xS9mPB.woff) format("woff"),url(/prelab/hypothesis-testing/assets/KaTeX_Typewriter-Regular-D3Ib7_Hf.ttf) format("truetype")}.katex{font: 1.21em KaTeX_Main,Times New Roman,serif;line-height:1.2;position:relative;text-indent:0;text-rendering:auto}.katex *{-ms-high-contrast-adjust:none!important;border-color:currentColor}.katex .katex-version:after{content:"0.16.45"}.katex .katex-mathml{clip:rect(1px,1px,1px,1px);border:0;height:1px;overflow:hidden;padding:0;position:absolute;width:1px}.katex .katex-html>.newline{display:block}.katex .base{position:relative;white-space:nowrap;width:-webkit-min-content;width:-moz-min-content;width:min-content}.katex .base,.katex .strut{display:inline-block}.katex .textbf{font-weight:700}.katex .textit{font-style:italic}.katex .textrm{font-family:KaTeX_Main}.katex .textsf{font-family:KaTeX_SansSerif}.katex .texttt{font-family:KaTeX_Typewriter}.katex .mathnormal{font-family:KaTeX_Math;font-style:italic}.katex .mathit{font-family:KaTeX_Main;font-style:italic}.katex .mathrm{font-style:normal}.katex .mathbf{font-family:KaTeX_Main;font-weight:700}.katex .boldsymbol{font-family:KaTeX_Math;font-style:italic;font-weight:700}.katex .amsrm,.katex .mathbb,.katex .textbb{font-family:KaTeX_AMS}.katex .mathcal{font-family:KaTeX_Caligraphic}.katex .mathfrak,.katex .textfrak{font-family:KaTeX_Fraktur}.katex .mathboldfrak,.katex .textboldfrak{font-family:KaTeX_Fraktur;font-weight:700}.katex .mathtt{font-family:KaTeX_Typewriter}.katex .mathscr,.katex .textscr{font-family:KaTeX_Script}.katex .mathsf,.katex .textsf{font-family:KaTeX_SansSerif}.katex .mathboldsf,.katex .textboldsf{font-family:KaTeX_SansSerif;font-weight:700}.katex .mathitsf,.katex .mathsfit,.katex .textitsf{font-family:KaTeX_SansSerif;font-style:italic}.katex .mainrm{font-family:KaTeX_Main;font-style:normal}.katex .vlist-t{border-collapse:collapse;display:inline-table;table-layout:fixed}.katex .vlist-r{display:table-row}.katex .vlist{display:table-cell;position:relative;vertical-align:bottom}.katex .vlist>span{display:block;height:0;position:relative}.katex .vlist>span>span{display:inline-block}.katex .vlist>span>.pstrut{overflow:hidden;width:0}.katex .vlist-t2{margin-right:-2px}.katex .vlist-s{display:table-cell;font-size:1px;min-width:2px;vertical-align:bottom;width:2px}.katex .vbox{align-items:baseline;display:inline-flex;flex-direction:column}.katex .hbox{width:100%}.katex .hbox,.katex .thinbox{display:inline-flex;flex-direction:row}.katex .thinbox{max-width:0;width:0}.katex .msupsub{text-align:left}.katex .mfrac>span>span{text-align:center}.katex .mfrac .frac-line{border-bottom-style:solid;display:inline-block;width:100%}.katex .hdashline,.katex .hline,.katex .mfrac .frac-line,.katex .overline .overline-line,.katex .rule,.katex .underline .underline-line{min-height:1px}.katex .mspace{display:inline-block}.katex .smash{display:inline;line-height:0}.katex .clap,.katex .llap,.katex .rlap{position:relative;width:0}.katex .clap>.inner,.katex .llap>.inner,.katex .rlap>.inner{position:absolute}.katex .clap>.fix,.katex .llap>.fix,.katex .rlap>.fix{display:inline-block}.katex .llap>.inner{right:0}.katex .clap>.inner,.katex .rlap>.inner{left:0}.katex .clap>.inner>span{margin-left:-50%;margin-right:50%}.katex .rule{border:0 solid;display:inline-block;position:relative}.katex .hline,.katex .overline .overline-line,.katex .underline .underline-line{border-bottom-style:solid;display:inline-block;width:100%}.katex .hdashline{border-bottom-style:dashed;display:inline-block;width:100%}.katex .sqrt>.root{margin-left:.2777777778em;margin-right:-.5555555556em}.katex .fontsize-ensurer.reset-size1.size1,.katex .sizing.reset-size1.size1{font-size:1em}.katex .fontsize-ensurer.reset-size1.size2,.katex .sizing.reset-size1.size2{font-size:1.2em}.katex .fontsize-ensurer.reset-size1.size3,.katex .sizing.reset-size1.size3{font-size:1.4em}.katex .fontsize-ensurer.reset-size1.size4,.katex .sizing.reset-size1.size4{font-size:1.6em}.katex .fontsize-ensurer.reset-size1.size5,.katex .sizing.reset-size1.size5{font-size:1.8em}.katex .fontsize-ensurer.reset-size1.size6,.katex .sizing.reset-size1.size6{font-size:2em}.katex .fontsize-ensurer.reset-size1.size7,.katex .sizing.reset-size1.size7{font-size:2.4em}.katex .fontsize-ensurer.reset-size1.size8,.katex .sizing.reset-size1.size8{font-size:2.88em}.katex .fontsize-ensurer.reset-size1.size9,.katex .sizing.reset-size1.size9{font-size:3.456em}.katex .fontsize-ensurer.reset-size1.size10,.katex .sizing.reset-size1.size10{font-size:4.148em}.katex .fontsize-ensurer.reset-size1.size11,.katex .sizing.reset-size1.size11{font-size:4.976em}.katex .fontsize-ensurer.reset-size2.size1,.katex .sizing.reset-size2.size1{font-size:.8333333333em}.katex .fontsize-ensurer.reset-size2.size2,.katex .sizing.reset-size2.size2{font-size:1em}.katex .fontsize-ensurer.reset-size2.size3,.katex .sizing.reset-size2.size3{font-size:1.1666666667em}.katex .fontsize-ensurer.reset-size2.size4,.katex .sizing.reset-size2.size4{font-size:1.3333333333em}.katex .fontsize-ensurer.reset-size2.size5,.katex .sizing.reset-size2.size5{font-size:1.5em}.katex .fontsize-ensurer.reset-size2.size6,.katex .sizing.reset-size2.size6{font-size:1.6666666667em}.katex .fontsize-ensurer.reset-size2.size7,.katex .sizing.reset-size2.size7{font-size:2em}.katex .fontsize-ensurer.reset-size2.size8,.katex .sizing.reset-size2.size8{font-size:2.4em}.katex .fontsize-ensurer.reset-size2.size9,.katex .sizing.reset-size2.size9{font-size:2.88em}.katex .fontsize-ensurer.reset-size2.size10,.katex .sizing.reset-size2.size10{font-size:3.4566666667em}.katex .fontsize-ensurer.reset-size2.size11,.katex .sizing.reset-size2.size11{font-size:4.1466666667em}.katex .fontsize-ensurer.reset-size3.size1,.katex .sizing.reset-size3.size1{font-size:.7142857143em}.katex .fontsize-ensurer.reset-size3.size2,.katex .sizing.reset-size3.size2{font-size:.8571428571em}.katex .fontsize-ensurer.reset-size3.size3,.katex .sizing.reset-size3.size3{font-size:1em}.katex .fontsize-ensurer.reset-size3.size4,.katex .sizing.reset-size3.size4{font-size:1.1428571429em}.katex .fontsize-ensurer.reset-size3.size5,.katex .sizing.reset-size3.size5{font-size:1.2857142857em}.katex .fontsize-ensurer.reset-size3.size6,.katex .sizing.reset-size3.size6{font-size:1.4285714286em}.katex .fontsize-ensurer.reset-size3.size7,.katex .sizing.reset-size3.size7{font-size:1.7142857143em}.katex .fontsize-ensurer.reset-size3.size8,.katex .sizing.reset-size3.size8{font-size:2.0571428571em}.katex .fontsize-ensurer.reset-size3.size9,.katex .sizing.reset-size3.size9{font-size:2.4685714286em}.katex .fontsize-ensurer.reset-size3.size10,.katex .sizing.reset-size3.size10{font-size:2.9628571429em}.katex .fontsize-ensurer.reset-size3.size11,.katex .sizing.reset-size3.size11{font-size:3.5542857143em}.katex .fontsize-ensurer.reset-size4.size1,.katex .sizing.reset-size4.size1{font-size:.625em}.katex .fontsize-ensurer.reset-size4.size2,.katex .sizing.reset-size4.size2{font-size:.75em}.katex .fontsize-ensurer.reset-size4.size3,.katex .sizing.reset-size4.size3{font-size:.875em}.katex .fontsize-ensurer.reset-size4.size4,.katex .sizing.reset-size4.size4{font-size:1em}.katex .fontsize-ensurer.reset-size4.size5,.katex .sizing.reset-size4.size5{font-size:1.125em}.katex .fontsize-ensurer.reset-size4.size6,.katex .sizing.reset-size4.size6{font-size:1.25em}.katex .fontsize-ensurer.reset-size4.size7,.katex .sizing.reset-size4.size7{font-size:1.5em}.katex .fontsize-ensurer.reset-size4.size8,.katex .sizing.reset-size4.size8{font-size:1.8em}.katex .fontsize-ensurer.reset-size4.size9,.katex .sizing.reset-size4.size9{font-size:2.16em}.katex .fontsize-ensurer.reset-size4.size10,.katex .sizing.reset-size4.size10{font-size:2.5925em}.katex .fontsize-ensurer.reset-size4.size11,.katex .sizing.reset-size4.size11{font-size:3.11em}.katex .fontsize-ensurer.reset-size5.size1,.katex .sizing.reset-size5.size1{font-size:.5555555556em}.katex .fontsize-ensurer.reset-size5.size2,.katex .sizing.reset-size5.size2{font-size:.6666666667em}.katex .fontsize-ensurer.reset-size5.size3,.katex .sizing.reset-size5.size3{font-size:.7777777778em}.katex .fontsize-ensurer.reset-size5.size4,.katex .sizing.reset-size5.size4{font-size:.8888888889em}.katex .fontsize-ensurer.reset-size5.size5,.katex .sizing.reset-size5.size5{font-size:1em}.katex .fontsize-ensurer.reset-size5.size6,.katex .sizing.reset-size5.size6{font-size:1.1111111111em}.katex .fontsize-ensurer.reset-size5.size7,.katex .sizing.reset-size5.size7{font-size:1.3333333333em}.katex .fontsize-ensurer.reset-size5.size8,.katex .sizing.reset-size5.size8{font-size:1.6em}.katex .fontsize-ensurer.reset-size5.size9,.katex .sizing.reset-size5.size9{font-size:1.92em}.katex .fontsize-ensurer.reset-size5.size10,.katex .sizing.reset-size5.size10{font-size:2.3044444444em}.katex .fontsize-ensurer.reset-size5.size11,.katex .sizing.reset-size5.size11{font-size:2.7644444444em}.katex .fontsize-ensurer.reset-size6.size1,.katex .sizing.reset-size6.size1{font-size:.5em}.katex .fontsize-ensurer.reset-size6.size2,.katex .sizing.reset-size6.size2{font-size:.6em}.katex .fontsize-ensurer.reset-size6.size3,.katex .sizing.reset-size6.size3{font-size:.7em}.katex .fontsize-ensurer.reset-size6.size4,.katex .sizing.reset-size6.size4{font-size:.8em}.katex .fontsize-ensurer.reset-size6.size5,.katex .sizing.reset-size6.size5{font-size:.9em}.katex .fontsize-ensurer.reset-size6.size6,.katex .sizing.reset-size6.size6{font-size:1em}.katex .fontsize-ensurer.reset-size6.size7,.katex .sizing.reset-size6.size7{font-size:1.2em}.katex .fontsize-ensurer.reset-size6.size8,.katex .sizing.reset-size6.size8{font-size:1.44em}.katex .fontsize-ensurer.reset-size6.size9,.katex .sizing.reset-size6.size9{font-size:1.728em}.katex .fontsize-ensurer.reset-size6.size10,.katex .sizing.reset-size6.size10{font-size:2.074em}.katex .fontsize-ensurer.reset-size6.size11,.katex .sizing.reset-size6.size11{font-size:2.488em}.katex .fontsize-ensurer.reset-size7.size1,.katex .sizing.reset-size7.size1{font-size:.4166666667em}.katex .fontsize-ensurer.reset-size7.size2,.katex .sizing.reset-size7.size2{font-size:.5em}.katex .fontsize-ensurer.reset-size7.size3,.katex .sizing.reset-size7.size3{font-size:.5833333333em}.katex .fontsize-ensurer.reset-size7.size4,.katex .sizing.reset-size7.size4{font-size:.6666666667em}.katex .fontsize-ensurer.reset-size7.size5,.katex .sizing.reset-size7.size5{font-size:.75em}.katex .fontsize-ensurer.reset-size7.size6,.katex .sizing.reset-size7.size6{font-size:.8333333333em}.katex .fontsize-ensurer.reset-size7.size7,.katex .sizing.reset-size7.size7{font-size:1em}.katex .fontsize-ensurer.reset-size7.size8,.katex .sizing.reset-size7.size8{font-size:1.2em}.katex .fontsize-ensurer.reset-size7.size9,.katex .sizing.reset-size7.size9{font-size:1.44em}.katex .fontsize-ensurer.reset-size7.size10,.katex .sizing.reset-size7.size10{font-size:1.7283333333em}.katex .fontsize-ensurer.reset-size7.size11,.katex .sizing.reset-size7.size11{font-size:2.0733333333em}.katex .fontsize-ensurer.reset-size8.size1,.katex .sizing.reset-size8.size1{font-size:.3472222222em}.katex .fontsize-ensurer.reset-size8.size2,.katex .sizing.reset-size8.size2{font-size:.4166666667em}.katex .fontsize-ensurer.reset-size8.size3,.katex .sizing.reset-size8.size3{font-size:.4861111111em}.katex .fontsize-ensurer.reset-size8.size4,.katex .sizing.reset-size8.size4{font-size:.5555555556em}.katex .fontsize-ensurer.reset-size8.size5,.katex .sizing.reset-size8.size5{font-size:.625em}.katex .fontsize-ensurer.reset-size8.size6,.katex .sizing.reset-size8.size6{font-size:.6944444444em}.katex .fontsize-ensurer.reset-size8.size7,.katex .sizing.reset-size8.size7{font-size:.8333333333em}.katex .fontsize-ensurer.reset-size8.size8,.katex .sizing.reset-size8.size8{font-size:1em}.katex .fontsize-ensurer.reset-size8.size9,.katex .sizing.reset-size8.size9{font-size:1.2em}.katex .fontsize-ensurer.reset-size8.size10,.katex .sizing.reset-size8.size10{font-size:1.4402777778em}.katex .fontsize-ensurer.reset-size8.size11,.katex .sizing.reset-size8.size11{font-size:1.7277777778em}.katex .fontsize-ensurer.reset-size9.size1,.katex .sizing.reset-size9.size1{font-size:.2893518519em}.katex .fontsize-ensurer.reset-size9.size2,.katex .sizing.reset-size9.size2{font-size:.3472222222em}.katex .fontsize-ensurer.reset-size9.size3,.katex .sizing.reset-size9.size3{font-size:.4050925926em}.katex .fontsize-ensurer.reset-size9.size4,.katex .sizing.reset-size9.size4{font-size:.462962963em}.katex .fontsize-ensurer.reset-size9.size5,.katex .sizing.reset-size9.size5{font-size:.5208333333em}.katex .fontsize-ensurer.reset-size9.size6,.katex .sizing.reset-size9.size6{font-size:.5787037037em}.katex .fontsize-ensurer.reset-size9.size7,.katex .sizing.reset-size9.size7{font-size:.6944444444em}.katex .fontsize-ensurer.reset-size9.size8,.katex .sizing.reset-size9.size8{font-size:.8333333333em}.katex .fontsize-ensurer.reset-size9.size9,.katex .sizing.reset-size9.size9{font-size:1em}.katex .fontsize-ensurer.reset-size9.size10,.katex .sizing.reset-size9.size10{font-size:1.2002314815em}.katex .fontsize-ensurer.reset-size9.size11,.katex .sizing.reset-size9.size11{font-size:1.4398148148em}.katex .fontsize-ensurer.reset-size10.size1,.katex .sizing.reset-size10.size1{font-size:.2410800386em}.katex .fontsize-ensurer.reset-size10.size2,.katex .sizing.reset-size10.size2{font-size:.2892960463em}.katex .fontsize-ensurer.reset-size10.size3,.katex .sizing.reset-size10.size3{font-size:.337512054em}.katex .fontsize-ensurer.reset-size10.size4,.katex .sizing.reset-size10.size4{font-size:.3857280617em}.katex .fontsize-ensurer.reset-size10.size5,.katex .sizing.reset-size10.size5{font-size:.4339440694em}.katex .fontsize-ensurer.reset-size10.size6,.katex .sizing.reset-size10.size6{font-size:.4821600771em}.katex .fontsize-ensurer.reset-size10.size7,.katex .sizing.reset-size10.size7{font-size:.5785920926em}.katex .fontsize-ensurer.reset-size10.size8,.katex .sizing.reset-size10.size8{font-size:.6943105111em}.katex .fontsize-ensurer.reset-size10.size9,.katex .sizing.reset-size10.size9{font-size:.8331726133em}.katex .fontsize-ensurer.reset-size10.size10,.katex .sizing.reset-size10.size10{font-size:1em}.katex .fontsize-ensurer.reset-size10.size11,.katex .sizing.reset-size10.size11{font-size:1.1996142719em}.katex .fontsize-ensurer.reset-size11.size1,.katex .sizing.reset-size11.size1{font-size:.2009646302em}.katex .fontsize-ensurer.reset-size11.size2,.katex .sizing.reset-size11.size2{font-size:.2411575563em}.katex .fontsize-ensurer.reset-size11.size3,.katex .sizing.reset-size11.size3{font-size:.2813504823em}.katex .fontsize-ensurer.reset-size11.size4,.katex .sizing.reset-size11.size4{font-size:.3215434084em}.katex .fontsize-ensurer.reset-size11.size5,.katex .sizing.reset-size11.size5{font-size:.3617363344em}.katex .fontsize-ensurer.reset-size11.size6,.katex .sizing.reset-size11.size6{font-size:.4019292605em}.katex .fontsize-ensurer.reset-size11.size7,.katex .sizing.reset-size11.size7{font-size:.4823151125em}.katex .fontsize-ensurer.reset-size11.size8,.katex .sizing.reset-size11.size8{font-size:.578778135em}.katex .fontsize-ensurer.reset-size11.size9,.katex .sizing.reset-size11.size9{font-size:.6945337621em}.katex .fontsize-ensurer.reset-size11.size10,.katex .sizing.reset-size11.size10{font-size:.8336012862em}.katex .fontsize-ensurer.reset-size11.size11,.katex .sizing.reset-size11.size11{font-size:1em}.katex .delimsizing.size1{font-family:KaTeX_Size1}.katex .delimsizing.size2{font-family:KaTeX_Size2}.katex .delimsizing.size3{font-family:KaTeX_Size3}.katex .delimsizing.size4{font-family:KaTeX_Size4}.katex .delimsizing.mult .delim-size1>span{font-family:KaTeX_Size1}.katex .delimsizing.mult .delim-size4>span{font-family:KaTeX_Size4}.katex .nulldelimiter{display:inline-block;width:.12em}.katex .delimcenter,.katex .op-symbol{position:relative}.katex .op-symbol.small-op{font-family:KaTeX_Size1}.katex .op-symbol.large-op{font-family:KaTeX_Size2}.katex .accent>.vlist-t,.katex .op-limits>.vlist-t{text-align:center}.katex .accent .accent-body{position:relative}.katex .accent .accent-body:not(.accent-full){width:0}.katex .overlay{display:block}.katex .mtable .vertical-separator{display:inline-block;min-width:1px}.katex .mtable .arraycolsep{display:inline-block}.katex .mtable .col-align-c>.vlist-t{text-align:center}.katex .mtable .col-align-l>.vlist-t{text-align:left}.katex .mtable .col-align-r>.vlist-t{text-align:right}.katex .svg-align{text-align:left}.katex svg{fill:currentColor;stroke:currentColor;display:block;height:inherit;position:absolute;width:100%}.katex svg path{stroke:none}.katex svg{fill-rule:nonzero;fill-opacity:1;stroke-width:1;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:4;stroke-dasharray:none;stroke-dashoffset:0;stroke-opacity:1}.katex img{border-style:none;max-height:none;max-width:none;min-height:0;min-width:0}.katex .stretchy{display:block;overflow:hidden;position:relative;width:100%}.katex .stretchy:after,.katex .stretchy:before{content:""}.katex .hide-tail{overflow:hidden;position:relative;width:100%}.katex .halfarrow-left{left:0;overflow:hidden;position:absolute;width:50.2%}.katex .halfarrow-right{overflow:hidden;position:absolute;right:0;width:50.2%}.katex .brace-left{left:0;overflow:hidden;position:absolute;width:25.1%}.katex .brace-center{left:25%;overflow:hidden;position:absolute;width:50%}.katex .brace-right{overflow:hidden;position:absolute;right:0;width:25.1%}.katex .x-arrow-pad{padding:0 .5em}.katex .cd-arrow-pad{padding:0 .55556em 0 .27778em}.katex .mover,.katex .munder,.katex .x-arrow{text-align:center}.katex .boxpad{padding:0 .3em}.katex .fbox,.katex .fcolorbox{border:.04em solid;box-sizing:border-box}.katex .cancel-pad{padding:0 .2em}.katex .cancel-lap{margin-left:-.2em;margin-right:-.2em}.katex .sout{border-bottom-style:solid;border-bottom-width:.08em}.katex .angl{border-right:.049em solid;border-top:.049em solid;box-sizing:border-box;margin-right:.03889em}.katex .anglpad{padding:0 .03889em}.katex .eqn-num:before{content:"(" counter(katexEqnNo) ")";counter-increment:katexEqnNo}.katex .mml-eqn-num:before{content:"(" counter(mmlEqnNo) ")";counter-increment:mmlEqnNo}.katex .mtr-glue{width:50%}.katex .cd-vert-arrow{display:inline-block;position:relative}.katex .cd-label-left{display:inline-block;position:absolute;right:calc(50% + .3em);text-align:left}.katex .cd-label-right{display:inline-block;left:calc(50% + .3em);position:absolute;text-align:right}.katex-display{display:block;margin:1em 0;text-align:center}.katex-display>.katex{display:block;text-align:center;white-space:nowrap}.katex-display>.katex>.katex-html{display:block;position:relative}.katex-display>.katex>.katex-html>.tag{position:absolute;right:0}.katex-display.leqno>.katex>.katex-html>.tag{left:0;right:auto}.katex-display.fleqn>.katex{padding-left:2em;text-align:left}body{counter-reset:katexEqnNo mmlEqnNo}
