:root{--ink:#14201d;--ink-soft:#46564f;--line:#d8e0dc;--paper:#fff;--band:#f4f7f5;--brand:#123f35;--brand-ink:#0c6b56;--accent:#b4530a;--ok:#0f7a3d;--bad:#a52020;--formula:"Cambria Math", "STIX Two Math", "Latin Modern Math", Cambria, Georgia, "Times New Roman", serif;--ui:system-ui, -apple-system, "Segoe UI", Roboto, "Helvetica Neue", Arial, sans-serif;--maxw:68rem;--radius:6px}*{box-sizing:border-box}html{-webkit-text-size-adjust:100%}body{color:var(--ink);background:var(--paper);font-family:var(--ui);margin:0;font-size:1rem;line-height:1.6}.wrap{max-width:var(--maxw);margin:0 auto;padding:0 1rem}.skip{position:absolute;top:0;left:-9999px}.skip:focus{background:var(--brand);color:#fff;padding:.5rem 1rem;display:inline-block;position:static}.site-head{border-bottom:3px solid var(--brand);background:var(--band)}.site-head .wrap{flex-wrap:wrap;align-items:baseline;gap:.35rem 1.25rem;padding-top:.8rem;padding-bottom:.8rem;display:flex}.brand{font-family:var(--formula);letter-spacing:-.02em;color:var(--brand);font-size:1.35rem;font-weight:600;text-decoration:none}.brand span{color:var(--brand-ink)}.nav{flex-wrap:wrap;gap:.1rem 1rem;margin-left:auto;display:flex}.nav a{color:var(--ink);border-bottom:2px solid #0000;padding-bottom:2px;font-size:.95rem;text-decoration:none}.nav a:hover,.nav a[aria-current=page]{border-bottom-color:var(--accent)}main{padding:1.6rem 1rem 3rem}h1{margin:0 0 .6rem;font-size:clamp(1.5rem,1rem + 2.2vw,2.15rem);line-height:1.2}h2{margin:2rem 0 .6rem;font-size:1.32rem;line-height:1.25}h3{margin:1.4rem 0 .4rem;font-size:1.08rem}h2,h3{scroll-margin-top:1rem}p,li{max-width:74ch}a{color:var(--brand-ink)}.eyebrow{letter-spacing:.06em;text-transform:uppercase;color:var(--ink-soft);margin:0 0 .35rem;font-size:.8rem}.lead{color:var(--ink);font-size:1.08rem}.muted{color:var(--ink-soft)}.small{font-size:.86rem}.tight{margin:.25rem 0}.tag{background:var(--accent);color:#fff;vertical-align:middle;border-radius:99px;padding:0 .4rem;font-size:.72rem;display:inline-block}.formula,.formula-box{font-family:var(--formula);font-size:1.28rem;line-height:1.45}.formula-box{background:var(--band);border:1px solid var(--line);border-left:4px solid var(--brand-ink);border-radius:var(--radius);margin:1rem 0;padding:.9rem 1.1rem;overflow-x:auto}.formula-box.big{font-size:clamp(1.3rem,1rem + 1.8vw,1.8rem)}.formula-inline{font-family:var(--formula);white-space:nowrap;font-size:1.06em}code,.mono{font-family:ui-monospace,SFMono-Regular,Menlo,Consolas,monospace;font-size:.92em}kbd{font-family:var(--ui);border:1px solid var(--line);border-bottom-width:2px;border-radius:4px;padding:0 .3rem;font-size:.8rem}.note,.answer,.tool{border:1px solid var(--line);border-radius:var(--radius);background:var(--paper);margin:1.2rem 0;padding:1rem 1.1rem}.tool,.answer{background:var(--band);border-color:#c8d5cf}.warning{border:1px solid #e6c9a8;border-left:4px solid var(--accent);border-radius:var(--radius);background:#fff8f1;margin:1.1rem 0;padding:.8rem 1rem}.warning h3,.warning strong{color:#7a3a06}.badge{color:var(--ok);background:#f1f9f3;border:1px solid #b7dcc4;border-radius:99px;align-items:center;gap:.4rem;padding:.12rem .6rem;font-size:.78rem;display:inline-flex}.badge:before{content:"✓";font-weight:700}.badge.warn{color:#7a5c06;background:#fdf7e7;border-color:#e6d3a2}.badge.warn:before{content:"!"}.row{flex-wrap:wrap;align-items:flex-end;gap:.8rem;display:flex}.field{flex-direction:column;flex:14rem;gap:.25rem;min-width:12rem;display:flex}.field label{color:var(--ink-soft);font-size:.85rem}input,select,textarea,button{font:inherit;color:inherit}input[type=text],input:not([type]),textarea,select{border-radius:var(--radius);background:#fff;border:1px solid #a9bab2;width:100%;padding:.5rem .6rem}input:focus-visible,select:focus-visible,textarea:focus-visible,button:focus-visible,a:focus-visible{outline:2px solid var(--accent);outline-offset:2px}button,.btn{border:1px solid var(--brand);background:var(--brand);color:#fff;border-radius:var(--radius);cursor:pointer;padding:.5rem 1rem}button:hover,.btn:hover{background:#0d4b3f}button.ghost{color:var(--brand);background:#fff}.result{margin-top:.9rem}.result .verdict{font-weight:600}.result.equal .verdict{color:var(--ok)}.result.unequal .verdict{color:var(--bad)}.result.indeterminate .verdict{color:#7a5c06}.candidates{gap:.7rem;margin:.8rem 0 0;padding:0;list-style:none;display:grid}.candidate{border:1px solid var(--line);border-radius:var(--radius);background:#fff;padding:.7rem .9rem}.candidate h3{margin:0 0 .2rem;font-size:1rem}.candidate .step-both{font-family:var(--formula)}.candidate .why{color:var(--ink-soft);margin:.3rem 0 0;font-size:.92rem}.table-scroll{margin:1rem 0;overflow-x:auto}table{border-collapse:collapse;width:100%;font-size:.95rem}caption{text-align:left;color:var(--ink-soft);padding-bottom:.35rem;font-size:.88rem}th,td{border-bottom:1px solid var(--line);text-align:left;vertical-align:top;padding:.45rem .55rem}thead th{text-transform:none;border-bottom:2px solid #b9c7c0;font-size:.85rem}td.num,th.num{text-align:right;font-variant-numeric:tabular-nums}tbody th[scope=row]{font-weight:600}tr.ok td::selection{background:0 0}.grid{grid-template-columns:repeat(auto-fit,minmax(15rem,1fr));gap:.9rem;margin:1rem 0;display:grid}.card-link,.card{border:1px solid var(--line);border-radius:var(--radius);color:inherit;background:#fff;padding:.8rem .9rem;text-decoration:none;display:block}.card-link:hover{border-color:var(--brand-ink);box-shadow:0 1px #cfe0d8}.card-link h3{margin:0 0 .25rem;font-size:1rem}.card-link p{color:var(--ink-soft);margin:0;font-size:.92rem}dl.terms dt{font-family:var(--formula);margin-top:.9rem;font-size:1.05rem}dl.terms dd{color:var(--ink-soft);margin:.1rem 0 0}.chips{flex-wrap:wrap;gap:.4rem;margin:.7rem 0;padding:0;list-style:none;display:flex}.chip{border:1px solid var(--line);background:var(--band);border-radius:99px;padding:.15rem .7rem;font-size:.85rem}.chip.on{background:var(--brand);color:#fff;border-color:var(--brand)}.chip.hit{background:#e9f6ef;border-color:#9fd0b3}.steps{counter-reset:step;margin:.8rem 0;padding:0;list-style:none}.steps li{counter-increment:step;border-left:2px solid var(--line);padding:0 0 .9rem 1.6rem;position:relative}.steps li:before{content:counter(step);background:var(--band);border:1px solid var(--line);width:1.35rem;height:1.35rem;color:var(--ink-soft);border-radius:99px;place-items:center;font-size:.78rem;display:grid;position:absolute;top:.05rem;left:-.1rem}.steps .line{font-family:var(--formula);font-size:1.12rem}.steps .reason{color:var(--ink-soft);font-size:.93rem}.site-foot{border-top:1px solid var(--line);background:var(--band);margin-top:2rem}.site-foot .wrap{padding:1.4rem 1rem 1.8rem}.site-foot nav{flex-wrap:wrap;gap:.3rem 1rem;margin-bottom:.7rem;display:flex}.site-foot a{align-items:center;min-height:24px;font-size:.9rem;display:inline-flex}.site-foot p{color:var(--ink-soft);font-size:.9rem}@media print{:root{--maxw:100%}.site-head,.site-foot,.skip,.no-print,form,.chips{display:none!important}body{font-size:10.5pt;line-height:1.35}main{padding:0}.formula-box{break-inside:avoid;background:0 0;border:1px solid #999}h1{font-size:16pt}h2{margin:.9rem 0 .3rem;font-size:12.5pt}.print-cols{columns:2;column-gap:1.6rem}.print-cols section{break-inside:avoid}a[href^=http]:after{content:""}@page{margin:12mm}}@media (width<=40rem){.nav{margin-left:0;font-size:.9rem}.formula-box{font-size:1.12rem}}.crumbs[data-astro-cid-vx4iavld] ol[data-astro-cid-vx4iavld]{color:var(--ink-soft);flex-wrap:wrap;align-items:center;gap:.4rem;margin:0 0 1rem;padding:0;font-size:.85rem;list-style:none;display:flex}.crumbs[data-astro-cid-vx4iavld] li[data-astro-cid-vx4iavld]{align-items:center;gap:.4rem;display:flex}.crumbs[data-astro-cid-vx4iavld] [data-astro-cid-vx4iavld][aria-hidden=true]{color:var(--line)}.controls[data-astro-cid-s3qmqx5h]{border:1px solid var(--line);border-radius:var(--radius);background:var(--band);margin-bottom:1.2rem;padding:.8rem 1rem}fieldset[data-astro-cid-s3qmqx5h]{border:0;margin:0 0 .7rem;padding:0}legend[data-astro-cid-s3qmqx5h]{color:var(--ink-soft);padding:0;font-size:.85rem}.checks[data-astro-cid-s3qmqx5h]{grid-template-columns:repeat(auto-fit,minmax(14rem,1fr));gap:.3rem 1rem;display:grid}.check[data-astro-cid-s3qmqx5h]{align-items:baseline;gap:.4rem;font-size:.92rem;display:flex}.check[data-astro-cid-s3qmqx5h] input[data-astro-cid-s3qmqx5h]{width:auto}.sheet-body[data-astro-cid-s3qmqx5h]{gap:.2rem;display:grid}.block[data-astro-cid-s3qmqx5h]{break-inside:avoid}.block[data-astro-cid-s3qmqx5h] h2[data-astro-cid-s3qmqx5h]{border-bottom:1px solid var(--line);margin:1rem 0 .3rem;font-size:1.02rem}.formulas[data-astro-cid-s3qmqx5h]{columns:2;column-gap:1.6rem;margin:.3rem 0 .6rem;padding:0;list-style:none}.formulas[data-astro-cid-s3qmqx5h] li[data-astro-cid-s3qmqx5h]{break-inside:avoid;margin-bottom:.15rem}.formulas[data-astro-cid-s3qmqx5h] a[data-astro-cid-s3qmqx5h]{color:inherit;text-decoration:none}table[data-astro-cid-s3qmqx5h].angles{font-size:.9rem}table[data-astro-cid-s3qmqx5h].angles td[data-astro-cid-s3qmqx5h],table[data-astro-cid-s3qmqx5h].angles th[data-astro-cid-s3qmqx5h]{text-align:center;padding:.2rem .4rem}.sheet-foot[data-astro-cid-s3qmqx5h]{color:var(--ink-soft);border-top:1px solid var(--line);margin-top:1rem;padding-top:.4rem;font-size:.78rem}.block[data-astro-cid-s3qmqx5h].off{opacity:.35}@media print{.block[data-astro-cid-s3qmqx5h].off{display:none}.formulas[data-astro-cid-s3qmqx5h]{columns:3}body.sheet main[data-astro-cid-s3qmqx5h]{padding-top:0}}.contact-form[data-astro-cid-vekgkm42]{border:1px solid var(--line);border-radius:var(--radius);background:var(--band);gap:.9rem;max-width:46rem;padding:1.1rem;display:grid}.field[data-astro-cid-vekgkm42].grow{flex:14rem;min-width:12rem}.field[data-astro-cid-vekgkm42].full{max-width:none;margin:0}textarea[data-astro-cid-vekgkm42]{border-radius:var(--radius);resize:vertical;background:#fff;border:1px solid #a9bab2;width:100%;padding:.5rem .6rem}.hp[data-astro-cid-vekgkm42]{width:1px;height:1px;position:absolute;left:-9999px;overflow:hidden}.form-status[data-astro-cid-vekgkm42]{color:var(--ink-soft);align-self:center;font-size:.9rem}.form-status[data-astro-cid-vekgkm42][data-state=ok]{color:var(--ok)}.form-status[data-astro-cid-vekgkm42][data-state=err]{color:var(--bad)}.uses[data-astro-cid-kffgciv6] a[data-astro-cid-kffgciv6]{font-size:.92em}.meta[data-astro-cid-ye7ymjby]{color:var(--ink-soft);flex-wrap:wrap;align-items:center;gap:.45rem;margin:1.2rem 0 0;font-size:.82rem;display:flex}.src[data-astro-cid-ye7ymjby]{flex-basis:100%}.groups[data-astro-cid-5pswxbdt] section[data-astro-cid-5pswxbdt]{margin-bottom:1.6rem}.count[data-astro-cid-5pswxbdt]{font-size:.9rem;font-weight:400}.cat-blurb[data-astro-cid-5pswxbdt]{color:var(--ink-soft);margin:.2rem 0 .5rem;font-size:.95rem}.sr-only[data-astro-cid-5pswxbdt]{clip-path:inset(50%);width:1px;height:1px;position:absolute;overflow:hidden}.answer-box[data-astro-cid-icliold5]{border:1px solid var(--line);border-left:4px solid var(--ok);border-radius:var(--radius);background:#fbfdfb;margin:1rem 0;padding:.2rem 1rem .6rem}.answer-box[data-astro-cid-icliold5] h2[data-astro-cid-icliold5]{text-transform:uppercase;letter-spacing:.06em;color:var(--ink-soft);margin:.6rem 0 .2rem;font-size:.85rem}.ex-line[data-astro-cid-jon2qpe7]{border-top:1px solid var(--line);padding:.8rem 0}.ex-line[data-astro-cid-jon2qpe7] h2[data-astro-cid-jon2qpe7]{margin:0 0 .2rem;font-size:1.05rem}.answer[data-astro-cid-jon2qpe7]{margin:.1rem 0}.cards[data-astro-cid-e2haenup]{grid-template-columns:repeat(auto-fit,minmax(16rem,1fr));gap:.7rem;margin:1rem 0;padding:0;list-style:none;display:grid}.cards[data-astro-cid-e2haenup].compact{grid-template-columns:repeat(auto-fit,minmax(13.5rem,1fr))}.card[data-astro-cid-e2haenup]{border:1px solid var(--line);border-radius:var(--radius);background:#fff;gap:.25rem;padding:.7rem .8rem;display:grid}.card[data-astro-cid-e2haenup]:hover{border-color:var(--brand-ink)}.card[data-astro-cid-e2haenup]>a[data-astro-cid-e2haenup].formula-inline{color:var(--ink);font-size:1.08rem;text-decoration:none}.card[data-astro-cid-e2haenup]>a[data-astro-cid-e2haenup].formula-inline:hover{text-decoration:underline}.name[data-astro-cid-e2haenup]{color:var(--ink-soft);font-size:.86rem}.links[data-astro-cid-e2haenup]{gap:.6rem;font-size:.8rem;display:flex}.examples[data-astro-cid-gvaphntn]{gap:.6rem;margin:.6rem 0;padding:0;list-style:none;display:grid}.examples[data-astro-cid-gvaphntn] li[data-astro-cid-gvaphntn]{border-left:3px solid var(--line);padding-left:.8rem}.answer-line[data-astro-cid-gvaphntn]{color:var(--ink-soft);font-size:.98rem}.problems[data-astro-cid-b6isubko]{padding-left:1.2rem}.problems[data-astro-cid-b6isubko] li[data-astro-cid-b6isubko]{margin-bottom:1.1rem}.prompt[data-astro-cid-b6isubko]{font-family:var(--formula);margin:0 0 .3rem;font-size:1.12rem}details[data-astro-cid-b6isubko]{margin:.15rem 0}summary[data-astro-cid-b6isubko]{cursor:pointer;color:var(--brand-ink);font-size:.9rem}@media print{details[data-astro-cid-b6isubko]{display:block}summary[data-astro-cid-b6isubko]{list-style:none}}.circle-figure[data-astro-cid-djfuqbhy]{width:min(320px,90%);height:auto;margin:1.2rem auto;display:block}.circle-figure[data-astro-cid-djfuqbhy] .axis[data-astro-cid-djfuqbhy]{stroke:var(--line);stroke-width:1px}.circle-figure[data-astro-cid-djfuqbhy] .ring[data-astro-cid-djfuqbhy]{fill:none;stroke:var(--brand);stroke-width:2px}.circle-figure[data-astro-cid-djfuqbhy] .radius[data-astro-cid-djfuqbhy]{stroke:var(--accent);stroke-width:2px}.circle-figure[data-astro-cid-djfuqbhy] .projection[data-astro-cid-djfuqbhy]{stroke:var(--ink-soft);stroke-width:1px;stroke-dasharray:3 3}.circle-figure[data-astro-cid-djfuqbhy] .point[data-astro-cid-djfuqbhy]{fill:var(--brand)}.circle-figure[data-astro-cid-djfuqbhy] .tick[data-astro-cid-djfuqbhy]{fill:var(--ink-soft);font-size:12px}.table-scroll[data-astro-cid-djfuqbhy]{overflow-x:auto}table[data-astro-cid-djfuqbhy].values{border-collapse:collapse;font-variant-numeric:tabular-nums;width:100%;margin:.8rem 0 1.2rem}table[data-astro-cid-djfuqbhy].values th[data-astro-cid-djfuqbhy],table[data-astro-cid-djfuqbhy].values td[data-astro-cid-djfuqbhy]{text-align:left;border-bottom:1px solid var(--line);white-space:nowrap;padding:.34rem .6rem}table[data-astro-cid-djfuqbhy].values thead[data-astro-cid-djfuqbhy] th[data-astro-cid-djfuqbhy]{color:var(--ink-soft);border-bottom-width:2px;font-weight:600}
/*$vite$:1*/