:root{--bg: #0a0a0a;--surface: #171717;--surface-soft: rgba(255, 255, 255, .04);--surface-strong: #262626;--text: #ffffff;--text-soft: #d4d4d4;--muted: #a3a3a3;--faint: #737373;--border: rgba(255, 255, 255, .08);--border-strong: rgba(255, 255, 255, .16);--nav-bg: rgba(10, 10, 10, .92);--purple: #6652a3;--purple-light: #8472b8;--green: #08753c;--green-light: #0a9a4e;--red: #ef4726;--red-light: #f26a4f;--brand-gradient: linear-gradient(90deg, #6652a3, #08753c, #ef4726);--radius: 16px;--radius-sm: 10px;--maxw: 1140px;--font: "Inter", ui-sans-serif, system-ui, -apple-system, sans-serif;--mono: ui-monospace, "SF Mono", "JetBrains Mono", Menlo, monospace}*{box-sizing:border-box}html{scroll-behavior:smooth;scroll-padding-top:76px}body{margin:0;background:var(--bg);color:var(--text);font-family:var(--font);font-size:16px;line-height:1.6;-webkit-font-smoothing:antialiased;text-rendering:optimizeLegibility;background-image:radial-gradient(900px 500px at 80% -10%,rgba(102,82,163,.16),transparent 60%),radial-gradient(700px 400px at -10% 0%,rgba(8,117,60,.1),transparent 55%);background-attachment:fixed}a{color:inherit}.wrap{max-width:var(--maxw);margin:0 auto;padding:0 22px}.nav{position:sticky;top:0;z-index:50;backdrop-filter:blur(14px);background:var(--nav-bg);border-bottom:1px solid var(--border)}.nav .wrap{display:flex;align-items:center;gap:18px;height:60px}.nav .brand{display:flex;align-items:center;gap:10px;font-weight:600;letter-spacing:-.01em}.nav .brand img{height:19px;width:auto;display:block}.nav .brand .dot{color:var(--faint)}.nav .links{margin-left:auto;display:flex;gap:20px;font-size:13.5px;color:var(--muted)}.nav .links a{text-decoration:none;transition:color .15s}.nav .links a:hover{color:var(--text)}@media(max-width:760px){.nav .links{display:none}}.hero{padding:78px 0 34px;position:relative;overflow-x:hidden}.kicker{display:inline-flex;align-items:center;gap:8px;font-size:12px;font-weight:600;letter-spacing:.12em;text-transform:uppercase;color:var(--muted);margin:0 0 18px}.kicker:before{content:"";width:26px;height:2px;border-radius:2px;background:var(--brand-gradient)}.hero h1{font-size:clamp(2.1rem,5.2vw,3.5rem);line-height:1.04;letter-spacing:-.03em;margin:0 0 20px;font-weight:700;max-width:16ch}.hero h1 .grad{background:var(--brand-gradient);-webkit-background-clip:text;background-clip:text;color:transparent}.hero .lede{font-size:clamp(1.05rem,2vw,1.28rem);color:var(--text-soft);max-width:60ch;margin:0 0 14px}.hero .thesis{margin:0 0 16px;font-size:1.08rem;line-height:1.5;color:var(--text-soft);max-width:62ch;padding-left:15px;border-left:3px solid var(--purple)}.hero .thesis b{color:var(--text)}.hero .sub{color:var(--muted);max-width:64ch;font-size:1rem}.frozen-badge{display:inline-flex;align-items:center;gap:8px;margin-bottom:26px;padding:6px 13px;border-radius:999px;font-size:12.5px;font-weight:500;background:#ef47261a;color:var(--red-light);border:1px solid rgba(239,71,38,.28)}.frozen-badge .pulse{width:7px;height:7px;border-radius:50%;background:var(--red);box-shadow:0 0 #ef472680;animation:pulse 2.4s infinite}@keyframes pulse{0%{box-shadow:0 0 #ef472673}70%{box-shadow:0 0 0 7px #ef472600}to{box-shadow:0 0 #ef472600}}.kpis{display:grid;grid-template-columns:repeat(5,1fr);gap:12px;margin:38px 0 10px}@media(max-width:900px){.kpis{grid-template-columns:repeat(2,1fr)}}.kpi{background:var(--surface);border:1px solid var(--border);border-radius:var(--radius);padding:18px 16px;position:relative;overflow:hidden}.kpi:after{content:"";position:absolute;left:0;top:0;height:3px;width:100%;background:var(--brand-gradient);opacity:.8}.kpi .num{font-size:clamp(1.5rem,3vw,2rem);font-weight:700;letter-spacing:-.02em;line-height:1}.kpi .lab{color:var(--muted);font-size:12.5px;margin-top:8px}section.block{padding:52px 0;border-top:1px solid var(--border);overflow-x:hidden}section.block .head{margin-bottom:26px}section.block h2{font-size:clamp(1.5rem,3.4vw,2.05rem);letter-spacing:-.025em;margin:0 0 12px;font-weight:700}section.block .cap{color:var(--text-soft);max-width:70ch;margin:0}section.block .cap.play{color:var(--muted);font-size:.97rem;margin-top:10px}.grid2{display:grid;grid-template-columns:1.4fr 1fr;gap:18px;align-items:start}.grid1{display:grid;grid-template-columns:1fr;gap:18px}@media(max-width:880px){.grid2{grid-template-columns:1fr}}.card{background:var(--surface);border:1px solid var(--border);border-radius:var(--radius);padding:18px;position:relative}.card h3{margin:0 0 4px;font-size:1.02rem;font-weight:600}.card .note{color:var(--faint);font-size:12.5px;margin:0 0 12px}.chart{width:100%;height:380px}.chart.tall{height:440px}.chart.short{height:300px}.chips{display:flex;flex-direction:column;gap:12px}.chip{background:var(--surface);border:1px solid var(--border);border-radius:var(--radius-sm);padding:14px 16px}.chip .big{font-size:1.6rem;font-weight:700;letter-spacing:-.02em}.chip .big.up{color:var(--red-light)}.chip .big.flat{color:var(--text-soft)}.chip .big.down{color:var(--green-light)}.chip .lab{color:var(--muted);font-size:13px;margin-top:3px}.tbl-wrap{overflow-x:auto;border:1px solid var(--border);border-radius:var(--radius-sm)}table.gi{width:100%;border-collapse:collapse;font-size:13.5px}table.gi thead th{text-align:left;padding:10px 13px;color:var(--muted);font-weight:600;background:var(--surface-soft);border-bottom:1px solid var(--border);white-space:nowrap;position:sticky;top:0}table.gi td{padding:9px 13px;border-bottom:1px solid var(--border);color:var(--text-soft)}table.gi tr:last-child td{border-bottom:none}table.gi tbody tr:hover{background:var(--surface-soft)}table.gi td.num,table.gi th.num{text-align:right;font-variant-numeric:tabular-nums;font-family:var(--mono)}.pill{display:inline-block;padding:2px 8px;border-radius:999px;font-size:11.5px;font-weight:600}.pill.up{background:#ef472624;color:var(--red-light)}.pill.flat{background:#ffffff0f;color:var(--muted)}.pill.down{background:#0a9a4e29;color:var(--green-light)}.term{position:relative;border-bottom:1px dotted var(--border-strong);cursor:help;white-space:nowrap}.term:after{content:" ⓘ";color:var(--purple-light);font-size:.85em}.term .tip{position:absolute;left:50%;bottom:calc(100% + 10px);transform:translate(-50%) translateY(4px);width:280px;max-width:78vw;background:#1d1d1d;color:var(--text-soft);border:1px solid var(--border-strong);border-radius:12px;padding:12px 14px;font-size:13px;line-height:1.5;white-space:normal;cursor:auto;opacity:0;visibility:hidden;transition:opacity .16s,transform .16s;z-index:60;box-shadow:0 18px 40px #00000080}.term .tip:before{content:"";position:absolute;top:100%;left:50%;transform:translate(-50%);border:7px solid transparent;border-top-color:#1d1d1d}.term .tip b{color:var(--text)}.term:hover .tip,.term:focus .tip,.term:focus-within .tip{opacity:1;visibility:visible;transform:translate(-50%) translateY(0)}.illus{margin:16px 0 0;border:1px dashed var(--border-strong);border-radius:var(--radius-sm);padding:18px;display:flex;align-items:center;gap:14px;color:var(--faint);background:repeating-linear-gradient(45deg,transparent,transparent 10px,rgba(255,255,255,.012) 10px,rgba(255,255,255,.012) 20px)}.illus .ico{font-size:1.4rem;opacity:.6}.illus .txt{font-size:12.5px}.illus .txt b{color:var(--muted);font-weight:600}.control{display:flex;gap:10px;flex-wrap:wrap;margin-bottom:14px}input.gi,select.gi,textarea.gi{background:var(--surface);border:1px solid var(--border-strong);border-radius:var(--radius-sm);color:var(--text);padding:11px 14px;font-size:14px;font-family:var(--font);outline:none}input.gi{flex:1;min-width:220px}input.gi:focus,textarea.gi:focus{border-color:var(--purple-light)}textarea.gi{width:100%;font-family:var(--mono);font-size:13px;line-height:1.55;resize:vertical;min-height:92px}button.gi{background:var(--surface-strong);border:1px solid var(--border-strong);border-radius:var(--radius-sm);color:var(--text);padding:11px 18px;font-size:14px;font-weight:600;cursor:pointer;transition:border-color .15s,transform .05s;font-family:var(--font);white-space:nowrap}button.gi:hover{border-color:var(--purple-light)}button.gi:active{transform:translateY(1px)}button.gi.primary{background:linear-gradient(90deg,#6652a3e6,#08753cd9);border-color:transparent}button.gi.ghost{background:transparent}button.gi:disabled{opacity:.5;cursor:not-allowed}.presets{display:flex;gap:8px;flex-wrap:wrap;margin-bottom:12px}.presets button{font-size:12px;padding:6px 11px;color:var(--muted)}.status{font-size:12.5px;color:var(--faint);font-family:var(--mono);margin-top:10px;min-height:18px}.status .ok{color:var(--green-light)}.status .run{color:var(--purple-light)}.status .err{color:var(--red-light)}pre.sql{background:#121212;border:1px solid var(--border);border-radius:var(--radius-sm);padding:13px 15px;overflow-x:auto;font-family:var(--mono);font-size:12.5px;color:var(--text-soft);margin:0 0 12px}.metric-row{display:flex;gap:22px;flex-wrap:wrap;margin-top:12px;font-size:13px}.metric-row .m{color:var(--muted)}.metric-row .m b{color:var(--text);font-family:var(--mono)}.loading{color:var(--faint);font-size:13px;font-family:var(--mono);padding:28px 4px}.skeleton{display:flex;align-items:center;gap:10px}.spin{width:13px;height:13px;border:2px solid var(--border-strong);border-top-color:var(--purple-light);border-radius:50%;animation:rot .8s linear infinite}@keyframes rot{to{transform:rotate(360deg)}}.funnel{display:flex;flex-direction:column;gap:8px}.funnel .bar{position:relative;background:var(--surface-strong);border-radius:8px;padding:11px 14px;overflow:hidden}.funnel .bar .fill{position:absolute;inset:0;background:var(--brand-gradient);opacity:.22}.funnel .bar .t{position:relative;display:flex;justify-content:space-between;gap:12px;font-size:13.5px}.funnel .bar .t b{font-family:var(--mono)}footer.site{border-top:1px solid var(--border);padding:40px 0 70px;color:var(--muted);font-size:13.5px}footer.site .row{display:flex;justify-content:space-between;gap:20px;flex-wrap:wrap}footer.site a{color:var(--text-soft);text-decoration:none;border-bottom:1px solid var(--border-strong)}footer.site a:hover{color:var(--text)}footer.site .bar{height:3px;border-radius:3px;background:var(--brand-gradient);margin-bottom:26px;opacity:.8}.chase{display:grid;grid-template-columns:repeat(3,1fr);gap:12px;align-items:stretch;position:relative}@media(max-width:760px){.chase{grid-template-columns:1fr}}.stop{background:var(--surface);border:1px solid var(--border);border-radius:var(--radius-sm);padding:14px 15px;position:relative}.stop .shop{font-weight:600;font-size:14px;margin-bottom:8px;display:flex;align-items:center;gap:7px}.stop .shop .n{width:18px;height:18px;border-radius:50%;background:var(--surface-strong);font-size:11px;display:inline-flex;align-items:center;justify-content:center;color:var(--muted)}.stop .grab{font-size:13px;color:var(--green-light);margin-bottom:4px}.stop .bite{font-size:13px;color:var(--red-light)}.stop .grab b,.stop .bite b{color:var(--text);font-weight:600}.stop:after{content:"→";position:absolute;right:-11px;top:50%;transform:translateY(-50%);color:var(--faint);font-size:16px;z-index:2}.stop:last-child:after{content:"↺";right:50%;bottom:-26px;top:auto;transform:translate(50%)}@media(max-width:760px){.stop:after{content:"↓";right:50%;bottom:-16px;top:auto;transform:translate(50%)}.stop:last-child:after{content:"↺"}}.chase-foot{margin-top:30px;color:var(--text-soft);font-size:14px}table.gi td.win{color:var(--green-light);font-weight:600}table.gi td.win:after{content:" ✓"}table.gi td.lose{color:var(--faint)}.basket-sum{display:flex;gap:10px;flex-wrap:wrap;margin-top:14px}.basket-sum .s{flex:1;min-width:150px;background:var(--surface-soft);border:1px solid var(--border);border-radius:var(--radius-sm);padding:12px 14px}.basket-sum .s.best{border-color:#0a9a4e59;background:#0a9a4e14}.basket-sum .s .n{font-size:1.4rem;font-weight:700;letter-spacing:-.02em}.basket-sum .s.best .n{color:var(--green-light)}.basket-sum .s .l{color:var(--muted);font-size:12px;margin-top:3px}.bait{display:grid;grid-template-columns:1fr 1fr;gap:8px;margin-top:4px}@media(max-width:640px){.bait{grid-template-columns:1fr}}.bait .item{display:flex;justify-content:space-between;gap:10px;padding:9px 12px;background:var(--surface-soft);border-radius:8px;font-size:13px}.bait .item .nm{color:var(--text-soft)}.bait .item .pr{white-space:nowrap;font-family:var(--mono)}.bait .item .pr .was{color:var(--faint);text-decoration:line-through;margin-right:6px}.bait .item .pr .now{color:var(--green-light);font-weight:600}.errs{display:grid;grid-template-columns:repeat(2,1fr);gap:12px}@media(max-width:760px){.errs{grid-template-columns:1fr}}.errcard{background:var(--surface);border:1px solid var(--border);border-radius:var(--radius-sm);padding:16px}.errcard .price{font-family:var(--mono);font-size:1.7rem;font-weight:700;color:var(--red-light);letter-spacing:-.02em}.errcard .what{color:var(--text-soft);font-size:13.5px;margin:4px 0 10px}.errcard .story{color:var(--muted);font-size:13px;line-height:1.5}.fair{background:linear-gradient(180deg,rgba(10,154,78,.08),var(--surface));border:1px solid rgba(10,154,78,.24);border-radius:var(--radius);padding:22px}.fair h3{display:flex;align-items:center;gap:9px}.fair .crown{color:var(--green-light)}.fair .row{display:flex;gap:28px;flex-wrap:wrap;margin:14px 0}.fair .row .s .n{font-size:1.5rem;font-weight:700;letter-spacing:-.02em}.fair .row .s .l{color:var(--muted);font-size:12.5px;margin-top:3px}.fair p{color:var(--text-soft);font-size:14px;margin:0}.groups{display:grid;grid-template-columns:1fr 1fr;gap:16px}@media(max-width:760px){.groups{grid-template-columns:1fr}}.group{background:var(--surface);border:1px solid var(--border);border-radius:var(--radius);padding:18px 20px}.group .gh{font-size:1.1rem;font-weight:700;letter-spacing:-.01em;margin-bottom:2px}.group .gs{color:var(--faint);font-size:12.5px;margin-bottom:14px}.banner{padding:12px 0;border-top:1px solid var(--border);display:flex;gap:12px;align-items:baseline}.banner:first-of-type{border-top:none}.banner .bn{font-weight:600;font-size:14px;min-width:92px}.banner .bd{color:var(--muted);font-size:13px;flex:1}.banner .bd b{color:var(--text-soft)}.banner .role{font-size:11px;color:var(--faint);text-transform:uppercase;letter-spacing:.06em;display:block;margin-bottom:2px}.formula{background:var(--surface);border:1px solid var(--border);border-radius:var(--radius);padding:20px 22px;margin-bottom:14px;overflow:hidden}.formula .fname{font-size:1.05rem;font-weight:600}.formula .fcite{color:var(--faint);font-size:12px;margin:2px 0 14px;font-style:italic}.formula .ftex{position:relative;overflow-x:auto;overflow-y:hidden;padding:14px 4px;background:#121212;border:1px solid var(--border);border-radius:var(--radius-sm);margin-bottom:14px;text-align:center}.formula .ftex .katex-display{margin:0}.formula .ftex .katex{font-size:1.2em;color:var(--text)}.formula .plain{color:var(--text-soft);font-size:14px;line-height:1.55}.formula .plain b{color:var(--text)}.formula .plain .lead{color:var(--purple-light);font-weight:600}.mathnote{margin-top:16px;border:1px solid var(--border);border-left:3px solid var(--purple);border-radius:var(--radius-sm);padding:13px 16px;background:var(--surface-soft);overflow:hidden}.mathnote .ml{font-size:11px;font-weight:600;letter-spacing:.07em;text-transform:uppercase;color:var(--purple-light);margin-bottom:6px}.mathnote .ml .cite{color:var(--faint);text-transform:none;letter-spacing:0;font-weight:400;font-style:italic}.mathnote .mtex{position:relative;overflow-x:auto;overflow-y:hidden;padding:8px 2px 10px;text-align:center}.mathnote .mtex .katex-display{margin:0}.mathnote .mtex .katex{font-size:1.05em;color:var(--text-soft)}.mathnote .mp{color:var(--muted);font-size:13px;line-height:1.55}.mathnote .mp b{color:var(--text-soft)}.awards{display:grid;grid-template-columns:repeat(2,1fr);gap:14px}@media(max-width:760px){.awards{grid-template-columns:1fr}}.award{background:var(--surface);border:1px solid var(--border);border-left-width:3px;border-radius:var(--radius-sm);padding:16px 18px}.award.roast{border-left-color:var(--red)}.award.crown{border-left-color:var(--green-light)}.award .tag{font-size:11.5px;font-weight:600;letter-spacing:.08em;text-transform:uppercase;color:var(--muted)}.award.roast .tag{color:var(--red-light)}.award.crown .tag{color:var(--green-light)}.award .winner{font-size:1.45rem;font-weight:700;letter-spacing:-.02em;margin:5px 0 3px}.award .stat{font-family:var(--mono);font-size:12.5px;color:var(--text-soft);margin-bottom:8px}.award .why{color:var(--muted);font-size:13px;line-height:1.5}.strat3{display:grid;grid-template-columns:repeat(3,1fr);gap:14px}@media(max-width:800px){.strat3{grid-template-columns:1fr}}.strat3 .card p{color:var(--muted);font-size:13px;line-height:1.55;margin:8px 0 0}.strat3 .card p b{color:var(--text-soft)}.stag{display:inline-block;font-size:11px;font-weight:600;letter-spacing:.06em;text-transform:uppercase;padding:3px 10px;border-radius:999px;margin-bottom:8px}.stag.pass{background:#ef47261f;color:var(--red-light)}.stag.eat{background:#0a9a4e24;color:var(--green-light)}.stag.pick{background:#6652a329;color:var(--purple-light)}.letters{display:grid;grid-template-columns:1fr 1fr;gap:16px}@media(max-width:800px){.letters{grid-template-columns:1fr}}.letter{background:var(--surface);border:1px solid var(--border);border-radius:var(--radius);padding:20px 22px}.letter.warn{border-left:3px solid var(--red)}.letter.praise{border-left:3px solid var(--green-light)}.letter .to{font-size:11px;text-transform:uppercase;letter-spacing:.08em;color:var(--faint);margin-bottom:4px}.letter .dear{font-size:1.12rem;font-weight:700;letter-spacing:-.01em;margin-bottom:10px}.letter .body{color:var(--text-soft);font-size:13.5px;line-height:1.6;margin:0}.letter .body b{color:var(--text)}.letter .num{font-family:var(--mono);color:var(--red-light);font-weight:600}.letter.praise .num{color:var(--green-light)}.letter .ask{margin:11px 0 0;color:var(--text-soft);font-size:13.5px;line-height:1.55}.letter .ask .lead{color:var(--purple-light);font-weight:600}.letter .wink{margin-top:12px;padding-top:11px;border-top:1px dashed var(--border-strong);font-size:12.5px;color:var(--muted);line-height:1.5;font-style:italic}.letter .wink .wt{font-style:normal;font-weight:600;color:var(--purple-light);letter-spacing:.03em}.letter .sig{margin-top:12px;color:var(--faint);font-size:12px;font-style:italic}.camps{display:flex;justify-content:space-between;gap:16px;margin-bottom:14px;flex-wrap:wrap}.camps .camp{flex:1;min-width:220px;border-radius:var(--radius-sm);padding:13px 15px;border:1px solid var(--border)}.camps .camp.cheap{background:#0a9a4e12;border-color:#0a9a4e38}.camps .camp.premium{background:#6652a314;border-color:#6652a342}.camps .camp .t{font-weight:600;font-size:14px;margin-bottom:3px}.camps .camp .d{color:var(--muted);font-size:12.5px}@media(max-width:640px){.wrap{padding:0 16px}section.block{padding:40px 0}.hero{padding:54px 0 24px}.chart{height:300px}.chart.tall{height:350px}.chart.short{height:250px}.card{padding:15px}table.gi{font-size:12.5px}table.gi td,table.gi thead th{padding:8px 9px}.kpi .num{font-size:1.6rem}.card h3{font-size:.98rem}}.muted{color:var(--muted)}.mono{font-family:var(--mono)}@font-face{font-display:block;font-family:KaTeX_AMS;font-style:normal;font-weight:400;src:url(/_astro/KaTeX_AMS-Regular.BQhdFMY1.woff2) format("woff2"),url(/_astro/KaTeX_AMS-Regular.DMm9YOAa.woff) format("woff"),url(/_astro/KaTeX_AMS-Regular.DRggAlZN.ttf) format("truetype")}@font-face{font-display:block;font-family:KaTeX_Caligraphic;font-style:normal;font-weight:700;src:url(/_astro/KaTeX_Caligraphic-Bold.Dq_IR9rO.woff2) format("woff2"),url(/_astro/KaTeX_Caligraphic-Bold.BEiXGLvX.woff) format("woff"),url(/_astro/KaTeX_Caligraphic-Bold.ATXxdsX0.ttf) format("truetype")}@font-face{font-display:block;font-family:KaTeX_Caligraphic;font-style:normal;font-weight:400;src:url(/_astro/KaTeX_Caligraphic-Regular.Di6jR-x-.woff2) format("woff2"),url(/_astro/KaTeX_Caligraphic-Regular.CTRA-rTL.woff) format("woff"),url(/_astro/KaTeX_Caligraphic-Regular.wX97UBjC.ttf) format("truetype")}@font-face{font-display:block;font-family:KaTeX_Fraktur;font-style:normal;font-weight:700;src:url(/_astro/KaTeX_Fraktur-Bold.CL6g_b3V.woff2) format("woff2"),url(/_astro/KaTeX_Fraktur-Bold.BsDP51OF.woff) format("woff"),url(/_astro/KaTeX_Fraktur-Bold.BdnERNNW.ttf) format("truetype")}@font-face{font-display:block;font-family:KaTeX_Fraktur;font-style:normal;font-weight:400;src:url(/_astro/KaTeX_Fraktur-Regular.CTYiF6lA.woff2) format("woff2"),url(/_astro/KaTeX_Fraktur-Regular.Dxdc4cR9.woff) format("woff"),url(/_astro/KaTeX_Fraktur-Regular.CB_wures.ttf) format("truetype")}@font-face{font-display:block;font-family:KaTeX_Main;font-style:normal;font-weight:700;src:url(/_astro/KaTeX_Main-Bold.Cx986IdX.woff2) format("woff2"),url(/_astro/KaTeX_Main-Bold.Jm3AIy58.woff) format("woff"),url(/_astro/KaTeX_Main-Bold.waoOVXN0.ttf) format("truetype")}@font-face{font-display:block;font-family:KaTeX_Main;font-style:italic;font-weight:700;src:url(/_astro/KaTeX_Main-BoldItalic.DxDJ3AOS.woff2) format("woff2"),url(/_astro/KaTeX_Main-BoldItalic.SpSLRI95.woff) format("woff"),url(/_astro/KaTeX_Main-BoldItalic.DzxPMmG6.ttf) format("truetype")}@font-face{font-display:block;font-family:KaTeX_Main;font-style:italic;font-weight:400;src:url(/_astro/KaTeX_Main-Italic.NWA7e6Wa.woff2) format("woff2"),url(/_astro/KaTeX_Main-Italic.BMLOBm91.woff) format("woff"),url(/_astro/KaTeX_Main-Italic.3WenGoN9.ttf) format("truetype")}@font-face{font-display:block;font-family:KaTeX_Main;font-style:normal;font-weight:400;src:url(/_astro/KaTeX_Main-Regular.B22Nviop.woff2) format("woff2"),url(/_astro/KaTeX_Main-Regular.Dr94JaBh.woff) format("woff"),url(/_astro/KaTeX_Main-Regular.ypZvNtVU.ttf) format("truetype")}@font-face{font-display:block;font-family:KaTeX_Math;font-style:italic;font-weight:700;src:url(/_astro/KaTeX_Math-BoldItalic.CZnvNsCZ.woff2) format("woff2"),url(/_astro/KaTeX_Math-BoldItalic.iY-2wyZ7.woff) format("woff"),url(/_astro/KaTeX_Math-BoldItalic.B3XSjfu4.ttf) format("truetype")}@font-face{font-display:block;font-family:KaTeX_Math;font-style:italic;font-weight:400;src:url(/_astro/KaTeX_Math-Italic.t53AETM-.woff2) format("woff2"),url(/_astro/KaTeX_Math-Italic.DA0__PXp.woff) format("woff"),url(/_astro/KaTeX_Math-Italic.flOr_0UB.ttf) format("truetype")}@font-face{font-display:block;font-family:KaTeX_SansSerif;font-style:normal;font-weight:700;src:url(/_astro/KaTeX_SansSerif-Bold.D1sUS0GD.woff2) format("woff2"),url(/_astro/KaTeX_SansSerif-Bold.DbIhKOiC.woff) format("woff"),url(/_astro/KaTeX_SansSerif-Bold.CFMepnvq.ttf) format("truetype")}@font-face{font-display:block;font-family:KaTeX_SansSerif;font-style:italic;font-weight:400;src:url(/_astro/KaTeX_SansSerif-Italic.C3H0VqGB.woff2) format("woff2"),url(/_astro/KaTeX_SansSerif-Italic.DN2j7dab.woff) format("woff"),url(/_astro/KaTeX_SansSerif-Italic.YYjJ1zSn.ttf) format("truetype")}@font-face{font-display:block;font-family:KaTeX_SansSerif;font-style:normal;font-weight:400;src:url(/_astro/KaTeX_SansSerif-Regular.DDBCnlJ7.woff2) format("woff2"),url(/_astro/KaTeX_SansSerif-Regular.CS6fqUqJ.woff) format("woff"),url(/_astro/KaTeX_SansSerif-Regular.BNo7hRIc.ttf) format("truetype")}@font-face{font-display:block;font-family:KaTeX_Script;font-style:normal;font-weight:400;src:url(/_astro/KaTeX_Script-Regular.D3wIWfF6.woff2) format("woff2"),url(/_astro/KaTeX_Script-Regular.D5yQViql.woff) format("woff"),url(/_astro/KaTeX_Script-Regular.C5JkGWo-.ttf) format("truetype")}@font-face{font-display:block;font-family:KaTeX_Size1;font-style:normal;font-weight:400;src:url(/_astro/KaTeX_Size1-Regular.mCD8mA8B.woff2) format("woff2"),url(/_astro/KaTeX_Size1-Regular.C195tn64.woff) format("woff"),url(/_astro/KaTeX_Size1-Regular.Dbsnue_I.ttf) format("truetype")}@font-face{font-display:block;font-family:KaTeX_Size2;font-style:normal;font-weight:400;src:url(/_astro/KaTeX_Size2-Regular.Dy4dx90m.woff2) format("woff2"),url(/_astro/KaTeX_Size2-Regular.oD1tc_U0.woff) format("woff"),url(/_astro/KaTeX_Size2-Regular.B7gKUWhC.ttf) format("truetype")}@font-face{font-display:block;font-family:KaTeX_Size3;font-style:normal;font-weight:400;src:url(data:font/woff2;base64,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) format("woff2"),url(/_astro/KaTeX_Size3-Regular.CTq5MqoE.woff) format("woff"),url(/_astro/KaTeX_Size3-Regular.DgpXs0kz.ttf) format("truetype")}@font-face{font-display:block;font-family:KaTeX_Size4;font-style:normal;font-weight:400;src:url(/_astro/KaTeX_Size4-Regular.Dl5lxZxV.woff2) format("woff2"),url(/_astro/KaTeX_Size4-Regular.BF-4gkZK.woff) format("woff"),url(/_astro/KaTeX_Size4-Regular.DWFBv043.ttf) format("truetype")}@font-face{font-display:block;font-family:KaTeX_Typewriter;font-style:normal;font-weight:400;src:url(/_astro/KaTeX_Typewriter-Regular.CO6r4hn1.woff2) format("woff2"),url(/_astro/KaTeX_Typewriter-Regular.C0xS9mPB.woff) format("woff"),url(/_astro/KaTeX_Typewriter-Regular.D3Ib7_Hf.ttf) format("truetype")}.katex{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:"0.17.0"}.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}