.pe{--pe-ink: #1e1b4b;--pe-brand: #4f46e5;--pe-brand-deep: #3730a3;--pe-canvas: #f5f3ff;--pe-hair: #e0e7ff;--pe-hair-strong: #c7d2fe;--pe-muted: #4b5563;--pe-known-bg: #e0e7ff;--pe-known-fg: #3730a3;--pe-rest-bg: #fef3c7;--pe-rest-fg: #92400e;--pe-num: "Figtree Variable", "Plus Jakarta Sans", system-ui, sans-serif;color:var(--pe-ink)}.pe-wrap{max-width:48rem;margin-inline:auto;padding-inline:1rem}@media(min-width:640px){.pe-wrap{padding-inline:1.5rem}}.pe-label{font-size:.75rem;font-weight:700;letter-spacing:.08em;text-transform:uppercase;color:var(--pe-brand-deep);margin:0}.pe-eq{font-family:var(--pe-num);font-weight:700;white-space:nowrap}.pe-known,.pe-rest{border-radius:.375rem;padding:0 .2em;margin-inline:-.05em}.pe-known{background:var(--pe-known-bg);color:var(--pe-known-fg)}.pe-rest{background:var(--pe-rest-bg);color:var(--pe-rest-fg)}.pe-scope{padding-block:1.25rem 3.5rem}.pe-scope .pe-label{font-size:.875rem}.pe-scope__lede{margin:1rem 0 0;max-width:34rem;font-size:clamp(1.25rem,4.6vw,1.5rem);line-height:1.3;font-weight:700;letter-spacing:-.01em;text-wrap:balance}.pe-facts{margin-top:1.75rem;display:grid;gap:1.75rem;max-width:34rem}@media(min-width:40rem){.pe-facts{grid-template-columns:minmax(0,1.5fr) minmax(0,1fr);gap:2.5rem;max-width:40rem}}.pe-fact__label{margin:0 0 .6rem;font-size:.8125rem;font-weight:700;color:var(--pe-muted)}.pe-digits{display:grid;grid-template-columns:repeat(10,minmax(0,1fr));gap:.2rem;margin:0;padding:0;list-style:none}.pe-digits li{font-family:var(--pe-num);font-weight:700;font-size:clamp(1rem,4.6vw,1.375rem);text-align:center;padding-block:.4rem;border-radius:.5rem;background:#fff;border:1px solid var(--pe-hair-strong);color:var(--pe-ink)}.pe-answers{margin:0;display:grid;gap:.35rem}.pe-answers__range{font-family:var(--pe-num);font-weight:800;font-size:clamp(2rem,8vw,2.5rem);line-height:1;letter-spacing:-.02em;color:var(--pe-brand-deep)}.pe-answers__ends{font-family:var(--pe-num);font-weight:600;font-size:.875rem;line-height:1.5;color:var(--pe-muted)}.pe-level{margin:2rem 0 0;padding-top:1.1rem;border-top:1px solid var(--pe-hair-strong);max-width:34rem;font-size:1rem;line-height:1.55;color:#374151}.pe-level strong{display:block;margin-bottom:.15rem;color:var(--pe-ink);font-weight:700}.pe-band{background:#fff;border-block:1px solid var(--pe-hair);padding-block:3rem 1.25rem}.pe-band__title{margin:0;font-size:clamp(1.625rem,6vw,2.125rem);line-height:1.12;font-weight:800;letter-spacing:-.02em;text-wrap:balance}.pe-strategy{display:grid;gap:1.1rem;padding-block:2rem;border-top:1px solid var(--pe-hair)}.pe-strategy:first-of-type{margin-top:2rem}.pe-strategy:last-of-type{border-bottom:0}@media(min-width:44rem){.pe-strategy{grid-template-columns:12.5rem minmax(0,1fr);gap:2.5rem;padding-block:2.5rem}}.pe-strategy__name{margin:0;font-size:1.25rem;line-height:1.2;font-weight:800;letter-spacing:-.01em;color:var(--pe-brand-deep)}.pe-strategy__cue{margin:.4rem 0 0;font-size:1rem;line-height:1.55;color:#1f2937}.pe-work{display:grid;gap:.15rem}.pe-problem{margin:0 0 .35rem;font-family:var(--pe-num);font-weight:800;font-size:clamp(2.25rem,9vw,3rem);line-height:1;letter-spacing:-.02em}.pe-step{display:grid;grid-template-columns:1.6rem minmax(0,1fr);align-items:baseline;column-gap:.15rem;padding-block:.3rem}.pe-step__op,.pe-step__expr{font-family:var(--pe-num);font-weight:700;font-size:clamp(1.5rem,6.4vw,2rem);line-height:1.15}.pe-step__op{color:#6b7280}.pe-step__note{grid-column:2;margin:.1rem 0 0;font-size:.875rem;line-height:1.4;color:var(--pe-muted)}.pe-step--result .pe-step__expr{font-weight:800}.pe-step--result .pe-step__op{color:var(--pe-ink)}@media(min-width:34rem){.pe-step{grid-template-columns:1.6rem 10rem minmax(0,1fr);column-gap:.5rem}.pe-step__note{grid-column:3;margin:0;align-self:center}}.pe-line{display:block;width:100%;max-width:26rem;height:auto;margin-top:.5rem;overflow:visible}.pe-line text{font-family:var(--pe-num);font-weight:700}.pe-adult{padding-block:3rem .5rem}.pe-adult__body{margin-top:.75rem;padding-left:1.1rem;border-left:3px solid var(--pe-brand);max-width:34rem}.pe-adult__ask{margin:0;font-size:clamp(1.125rem,4.4vw,1.3125rem);line-height:1.4;font-weight:700;letter-spacing:-.005em}.pe-adult__p{margin:.75rem 0 0;font-size:1rem;line-height:1.65;color:#1f2937}.pe-path{padding-block:3rem 1rem}.pe-path__title{margin:0;font-size:clamp(1.375rem,5vw,1.625rem);font-weight:800;letter-spacing:-.015em}.pe-next{position:relative;display:grid;gap:1rem;margin-top:1.25rem;padding:1.5rem 1.25rem;border-radius:1.25rem;background:var(--pe-ink);color:#fff;text-decoration:none;transition:background-color .15s ease,transform .15s ease}@media(min-width:40rem){.pe-next{grid-template-columns:minmax(0,1fr) auto;align-items:center;gap:2rem;padding:2rem 2rem 2rem 2.25rem}}.pe-next:hover{background:#2a2670}.pe-next:focus-visible{outline:3px solid #a5b4fc;outline-offset:3px}@media(hover:hover){.pe-next:hover{transform:translateY(-1px)}}.pe-next__label{color:#a5b4fc}.pe-next__title{display:block;margin-top:.4rem;font-size:clamp(1.375rem,5.4vw,1.75rem);line-height:1.15;font-weight:800;letter-spacing:-.015em;text-wrap:balance}.pe-next__why{display:block;margin-top:.6rem;max-width:30rem;font-size:1rem;line-height:1.55;color:#c7d2fe}.pe-next__go{display:inline-flex;align-items:center;gap:.5rem;margin-top:1.1rem;font-size:.9375rem;font-weight:700;color:#fff}.pe-next__go svg{transition:transform .15s ease}.pe-next:hover .pe-next__go svg{transform:translate(3px)}.pe-mini{display:none}@media(min-width:40rem){.pe-mini{display:grid;grid-template-columns:repeat(3,1.6rem);justify-items:end;font-family:var(--pe-num);font-weight:800;font-size:2rem;line-height:1.2;padding:.9rem 1.1rem;border-radius:.9rem;background:#ffffff12;color:#a5b4fc}.pe-mini .o{color:#fcd34d}.pe-mini .plus{color:#c7d2fe;font-weight:700;justify-self:start}.pe-mini .rule{grid-column:1 / -1;align-self:stretch;height:3px;margin-block:.3rem;background:#6366f1;border-radius:2px}}.pe-more{display:grid;gap:0;margin:1.25rem 0 0;padding:0;list-style:none}@media(min-width:40rem){.pe-more{grid-template-columns:1fr 1fr;gap:2rem}}.pe-more a{display:block;padding:.9rem 0;border-top:1px solid var(--pe-hair-strong);text-decoration:none;color:var(--pe-ink)}.pe-more a:hover .pe-more__title{text-decoration:underline;text-underline-offset:3px}.pe-more a:focus-visible{outline:3px solid var(--pe-brand);outline-offset:2px;border-radius:.25rem}.pe-more__title{font-size:1rem;font-weight:700;color:var(--pe-brand-deep)}.pe-more__desc{display:block;margin-top:.15rem;font-size:.875rem;line-height:1.45;color:var(--pe-muted)}@media(prefers-reduced-motion:reduce){.pe-next,.pe-next__go svg{transition:none}.pe-next:hover{transform:none}}.pe-nowrap{white-space:nowrap}.pe-about{margin:.9rem 0 0;max-width:34rem;font-size:1.0625rem;line-height:1.55;color:#1f2937}.pe-about+.pe-about{margin-top:.5rem}.pe-scope .pe-level{font-size:1.0625rem;color:#1f2937}.pe-example-label{margin-top:1.5rem}.pe-sr{position:absolute;width:1px;height:1px;overflow:hidden;clip:rect(0 0 0 0);white-space:nowrap}.pe-place{--pe-tens-bg: #e0e7ff;--pe-tens-fg: #3730a3;--pe-tens-mark: #4f46e5;--pe-ones-bg: #fef3c7;--pe-ones-fg: #92400e;--pe-ones-mark: #b45309;display:grid;gap:2rem;margin-top:1.25rem}@media(min-width:48rem){.pe-place{grid-template-columns:auto minmax(0,1fr);gap:3.5rem;align-items:center}}.pe-chart{border-collapse:separate;border-spacing:.35rem 0;font-family:var(--pe-num);justify-self:start}.pe-chart th,.pe-chart td{padding:0}.pe-chart thead th{padding:.6rem .9rem;border-radius:.75rem .75rem 0 0;font-size:.8125rem;font-weight:700;letter-spacing:.08em;text-transform:uppercase;text-align:left}.pe-chart tbody td{padding:.75rem .9rem;vertical-align:middle;min-width:6.5rem}.pe-chart__tens{background:var(--pe-tens-bg);color:var(--pe-tens-fg)}.pe-chart__ones{background:var(--pe-ones-bg);color:var(--pe-ones-fg)}.pe-chart tbody tr:last-child td{border-radius:0 0 .75rem .75rem}.pe-chart__op{width:1.5rem;text-align:center;font-size:1.75rem;font-weight:700;color:#6b7280}.pe-chart td{white-space:nowrap}.pe-chart__digit{display:inline-block;min-width:1ch;font-size:clamp(2.25rem,10vw,3rem);line-height:1;font-weight:800;vertical-align:middle}.pe-rods,.pe-units{display:inline-block;vertical-align:middle;margin-left:.7rem;height:auto}.pe-rods{width:auto;height:2rem}.pe-rods rect{fill:var(--pe-tens-mark)}.pe-units{width:3.6rem}.pe-units rect{fill:var(--pe-ones-mark)}.pe-chart__sum td{border-top:3px solid var(--pe-ink)}.pe-chart__sum .pe-chart__digit{font-size:clamp(2.5rem,11vw,3.375rem)}.pe-steps{display:grid;gap:1.5rem;margin:0;padding:0;list-style:none}.pe-steps li{display:grid;gap:.15rem;padding-left:1.1rem;border-left:4px solid var(--pe-hair-strong)}.pe-steps li.pe-steps__ones{border-left-color:var(--pe-ones-mark, #b45309)}.pe-steps li.pe-steps__tens{border-left-color:var(--pe-tens-mark, #4f46e5)}.pe-steps li.pe-steps__all{border-left-color:var(--pe-ink)}.pe-steps__name{font-size:.8125rem;font-weight:700;letter-spacing:.08em;text-transform:uppercase;color:var(--pe-muted)}.pe-steps__eq{font-size:clamp(1.375rem,5.4vw,1.75rem);line-height:1.2;white-space:normal}.pe-steps__note{font-size:1rem;line-height:1.5;color:#374151}.pe-check{margin:2.25rem 0 1.25rem;padding-top:1.1rem;border-top:1px solid var(--pe-hair);max-width:34rem;font-size:1rem;line-height:1.6;color:#374151}.pe-check+.pe-check{margin-top:0}.pe-check a{color:var(--pe-brand-deep);font-weight:600;text-underline-offset:3px}.pe-check a:hover{text-decoration-thickness:2px}.pe-check a:focus-visible{outline:3px solid var(--pe-brand);outline-offset:2px;border-radius:.25rem}.pe-regroup .pe-chart tbody td{min-width:0;padding:.85rem .6rem}.pe-regroup .pe-chart{border-spacing:.25rem 0;max-width:100%}.pe-regroup .pe-rods,.pe-regroup .pe-units{margin-left:.5rem}@media(min-width:26rem){.pe-regroup .pe-chart tbody td{min-width:6rem;padding:.75rem .9rem}.pe-regroup .pe-rods,.pe-regroup .pe-units{margin-left:.7rem}}.pe-regroup .pe-chart tbody .pe-regroup__swap td{border-top:2px dashed var(--pe-hair-strong);vertical-align:top;padding-block:1.1rem 1.2rem}.pe-regroup__swap .pe-chart__tens{border-color:var(--pe-tens-mark)}.pe-regroup__swap .pe-chart__ones{border-color:var(--pe-ones-mark)}.pe-regroup__tag{display:block;margin-bottom:.55rem;font-size:.9375rem;font-weight:800;line-height:1.2}.pe-regroup__hint{display:block;margin-top:.6rem;font-size:.875rem;font-weight:700;line-height:1.35;white-space:normal}.pe-regroup__ones{display:block;width:5.4rem;height:auto}@media(min-width:26rem){.pe-regroup__ones{width:6.25rem}}.pe-regroup__ones rect{fill:var(--pe-ones-mark)}.pe-regroup__ones .pe-regroup__frame{fill:none;stroke:var(--pe-ones-mark);stroke-width:2}.pe-rods--new{margin-left:0;width:auto;height:2rem}.pe-rods--new rect,.pe-rods .pe-rods__new{fill:none;stroke:var(--pe-tens-mark);stroke-width:3.5;stroke-dasharray:6 4}.pe-regroup__answer .pe-chart__tens .pe-rods{height:1.75rem}.pe-steps li.pe-steps__regroup{border-left-style:dashed;border-left-color:var(--pe-tens-mark)}.pe-written__form{display:grid;gap:.6rem;justify-items:start}.pe-written{display:grid;gap:1.25rem;margin-top:2.5rem;padding-top:1.75rem;border-top:1px solid var(--pe-hair);align-items:center}@media(min-width:40rem){.pe-written{grid-template-columns:auto minmax(0,1fr);gap:2.5rem}}.pe-written__note{margin:0;max-width:24rem;font-size:1.0625rem;line-height:1.55;color:#1f2937}.pe-vert{display:grid;grid-template-columns:1.6rem repeat(2,2.25rem);justify-items:end;justify-self:start;font-family:var(--pe-num);font-weight:800;font-size:2.25rem;line-height:1.2;color:var(--pe-tens-fg, #3730a3)}.pe-vert--3{grid-template-columns:1.6rem repeat(3,2.25rem)}.pe-vert .o{color:var(--pe-ones-fg, #92400e)}.pe-vert .plus{color:#6b7280;font-weight:700;justify-self:start}.pe-vert .rule{grid-column:1 / -1;align-self:stretch;justify-self:stretch;height:3px;margin-block:.3rem;background:var(--pe-ink);border-radius:2px}.pe-vert__carry{align-self:end;min-width:1.6rem;text-align:center;font-size:1.125rem;line-height:1.5rem;border:2px dashed var(--pe-tens-mark, #4f46e5);border-radius:.4rem;color:var(--pe-tens-fg, #3730a3)}.pe-again{margin-top:2.5rem;padding-top:1.75rem;border-top:1px solid var(--pe-hair)}.pe-again__title{margin:0;font-size:1.125rem;line-height:1.25;font-weight:800;color:var(--pe-brand-deep)}.pe-again__body{display:grid;gap:1.25rem;margin-top:1rem;align-items:center}@media(min-width:40rem){.pe-again__body{grid-template-columns:auto minmax(0,1fr);gap:2.5rem}}.pe-again .pe-vert{font-size:1.75rem;grid-template-columns:1.4rem repeat(3,1.75rem)}.pe-again__text{display:grid;gap:.35rem}.pe-again__eq{margin:0;font-size:1.125rem;line-height:1.35;white-space:normal;text-wrap:balance}.pe-again__answer{font-size:1.375rem;font-weight:800}.pe-again__note{margin:.35rem 0 0;font-size:1rem;line-height:1.5;color:#374151}.pe-next--hub{align-items:end}.pe-ladder{display:grid;gap:.4rem;padding:.9rem 1rem;border-radius:.9rem;background:#ffffff12;font-size:.875rem;font-weight:700;color:#a5b4fc;counter-reset:rung}.pe-ladder__rung{display:block;padding-left:1.6rem;position:relative;line-height:1.3}.pe-ladder__rung:before{counter-increment:rung;content:counter(rung);position:absolute;left:0;top:0;width:1.15rem;height:1.15rem;border-radius:50%;border:2px solid #6366f1;font-size:.6875rem;line-height:.95rem;text-align:center}.pe-ladder__rung--here{color:#fff}.pe-ladder__rung--here:before{background:#fcd34d;border-color:#fcd34d;color:var(--pe-ink)}.pe-ladder__rung b{display:block;font-size:.75rem;font-weight:700;color:#fcd34d}.pe-regroup .pe-steps__eq{text-wrap:balance}.pe-digits--nine{grid-template-columns:repeat(9,minmax(0,1fr))}.pe-help{margin:-.55rem 0 1.25rem;max-width:34rem;font-size:.9375rem;line-height:1.55;color:var(--pe-muted)}.pe-help a{color:var(--pe-brand-deep);font-weight:600;text-underline-offset:3px}.pe-help a:hover{text-decoration-thickness:2px}.pe-help a:focus-visible{outline:3px solid var(--pe-brand);outline-offset:2px;border-radius:.25rem}.pe-rods--away,.pe-units--away{overflow:visible}.pe-rods--away rect{fill:none;stroke:var(--pe-tens-mark);stroke-width:2}.pe-units--away rect{fill:none;stroke:var(--pe-ones-mark);stroke-width:1.75}.pe-chart__op--label{width:3.25rem;line-height:1}.pe-chart__rowname{display:block;margin-top:.25rem;font-size:.6875rem;font-weight:700;letter-spacing:.06em;line-height:1.15;text-transform:uppercase;color:var(--pe-muted)}.pe-vert--borrow{grid-template-columns:1.6rem 2.25rem 3.1rem}.pe-vert__new{align-self:end;font-size:1.375rem;line-height:1.1}.pe-vert__struck{text-decoration:line-through;text-decoration-thickness:3px}.pe-vert__ten{margin-right:.12rem;font-size:.5em;font-weight:800;line-height:0;vertical-align:.85em}.pe-again .pe-vert--borrow{grid-template-columns:1.4rem 1.75rem 2.5rem}.pe-digits--six{grid-template-columns:repeat(6,minmax(0,1fr))}.pe-split,.pe-array{display:block;width:100%;height:auto;margin-top:.75rem;overflow:visible}.pe-split{max-width:18rem}@media(min-width:34rem){.pe-split{max-width:24rem}}.pe-array{max-width:20rem}.pe-split text,.pe-array text{font-family:var(--pe-num);font-weight:700}.pe-split__cap,.pe-array__cap,.pe-split__rows{font-size:15px;fill:var(--pe-muted)}.pe-split__product{font-size:20px;font-weight:800}.pe-split__part path{fill:none;stroke-width:1}.pe-split__part--known rect{fill:var(--pe-known-bg);stroke:#6366f1;stroke-width:2}.pe-split__part--known path{stroke:#a5b4fc}.pe-split__part--known .pe-split__product{fill:var(--pe-known-fg)}.pe-split__part--rest rect{fill:var(--pe-rest-bg);stroke:#b45309;stroke-width:2}.pe-split__part--rest path{stroke:#fcd34d}.pe-split__part--rest .pe-split__product{fill:var(--pe-rest-fg)}.pe-array__dots circle{fill:var(--pe-brand)}.pe-array__eq{font-size:40px;fill:var(--pe-ink)}.pe-array__cap{font-size:16px}.pe-work--wide .pe-step__expr{white-space:nowrap}@media(min-width:34rem){.pe-work--wide .pe-step{grid-template-columns:1.6rem max-content minmax(0,1fr);column-gap:1.25rem}.pe-work--wide .pe-step__note{grid-column:3}}.pe-problem--eq{font-size:clamp(1.75rem,7.2vw,2.25rem);white-space:nowrap}.pe-caption{margin:.5rem 0 0;font-size:.875rem;line-height:1.4;color:var(--pe-muted)}.pe-split__part--removed rect{fill:#fff;stroke:#b45309;stroke-width:2;stroke-dasharray:6 4}.pe-split__part--removed .pe-split__product{fill:var(--pe-rest-fg)}.pe-split--compact .pe-split__product{font-size:17px}.pe-split--compact .pe-split__rows{font-size:14px}.pe-strategy--solo{grid-template-columns:minmax(0,1fr)}.pe-strategy--follow{margin-top:0}.pe-about--band{margin-top:.25rem}.pe-band .pe-about{max-width:34rem}.pe-scope+.pe-path{padding-top:.5rem}.pe-refs-wrap{margin-top:1.75rem;max-width:40rem}.pe-refs{display:grid;grid-template-columns:repeat(2,minmax(0,1fr));gap:.35rem .4rem;margin:0;padding:0;list-style:none}@media(min-width:30rem){.pe-refs{grid-template-columns:repeat(3,minmax(0,1fr))}}@media(min-width:40rem){.pe-refs{grid-template-columns:repeat(4,minmax(0,1fr))}}.pe-refs li{padding:.4rem .25rem;border-radius:.5rem;border:1px solid var(--pe-hair-strong);background:#fff;font-family:var(--pe-num);font-weight:700;font-size:.9375rem;text-align:center;white-space:nowrap;color:var(--pe-ink)}.pe-double{display:flex;flex-wrap:wrap;align-items:flex-start;gap:.35rem .2rem;margin:.75rem 0 0;padding:0;list-style:none}.pe-double__step{display:grid;gap:.2rem;min-width:3.2rem;padding:.55rem .45rem;border-radius:.75rem;border:1px solid var(--pe-hair-strong);background:#fff;text-align:center}.pe-double__step--mark{border:2px solid var(--pe-brand);background:var(--pe-known-bg);padding:calc(.55rem - 1px) calc(.45rem - 1px)}.pe-double__num{font-family:var(--pe-num);font-weight:800;font-size:1.75rem;line-height:1;color:var(--pe-ink)}.pe-double__cap{font-size:.75rem;line-height:1.25;color:var(--pe-muted)}.pe-double__cap b{display:block;max-width:4.6rem;margin-inline:auto;font-weight:700;color:var(--pe-known-fg)}.pe-double__arrow{align-self:center;display:grid;justify-items:center;font-size:1.1rem;line-height:1;color:#6b7280}.pe-double__arrow span{font-size:.6875rem;font-weight:700}@media(min-width:34rem){.pe-double{gap:.5rem .6rem}.pe-double__step{min-width:5rem;padding:.75rem .85rem}.pe-double__step--mark{padding:calc(.75rem - 1px) calc(.85rem - 1px)}.pe-double__num{font-size:2.25rem}.pe-double__cap{font-size:.8125rem}.pe-double__arrow{font-size:1.4rem}}.pe-seq{display:grid;grid-template-columns:repeat(3,minmax(0,1fr));gap:.5rem;margin:.25rem 0 0;padding:0;list-style:none}@media(min-width:40rem){.pe-seq{grid-template-columns:repeat(6,minmax(0,1fr))}}.pe-seq__item{display:grid;gap:.15rem;justify-items:center;padding:.6rem .35rem;border-radius:.75rem;border:2px solid var(--pe-hair-strong);background:#fff;text-align:center}.pe-seq__item--end5{border-color:#6366f1;background:var(--pe-known-bg)}.pe-seq__item--end0{border-color:#b45309;background:var(--pe-rest-bg)}.pe-seq__num{font-family:var(--pe-num);font-weight:800;font-size:1.75rem;line-height:1.1;color:var(--pe-ink)}.pe-seq__last{text-decoration:underline;text-decoration-thickness:3px;text-underline-offset:4px}.pe-seq__cap{font-size:.75rem;line-height:1.25;color:var(--pe-muted)}.pe-seq__end{font-size:.8125rem;font-weight:700;line-height:1.25;white-space:nowrap}.pe-strategy__cue--above{margin:0 0 .9rem;max-width:34rem}.pe-seq__item--end5 .pe-seq__end{color:var(--pe-known-fg)}.pe-seq__item--end0 .pe-seq__end{color:var(--pe-rest-fg)}.pe-tens{display:block;max-width:100%;height:auto;margin-top:.75rem}.pe-tens__rod{fill:var(--pe-known-bg);stroke:#6366f1;stroke-width:2}.pe-tens__cells{fill:none;stroke:#a5b4fc;stroke-width:1}.pe-tens text{font-family:var(--pe-num);font-weight:800;font-size:18px;fill:var(--pe-ink)}.pe-tens .pe-tens__sub{font-size:14px;font-weight:600;fill:var(--pe-muted)}.pe-caption--quiet{margin-top:1.25rem;max-width:34rem}.pe-family{display:grid;grid-template-columns:repeat(2,minmax(0,1fr));gap:.25rem 1rem;margin-top:1.5rem;max-width:34rem}.pe-family__head{margin:0 0 .5rem;font-size:.75rem;font-weight:700;letter-spacing:.08em;text-transform:uppercase;color:var(--pe-brand-deep)}.pe-family__list{margin:0;padding:0;list-style:none;display:grid;gap:.6rem}.pe-family__list li{font-family:var(--pe-num);font-weight:800;font-size:clamp(1.25rem,5.6vw,2rem);line-height:1.2;white-space:nowrap;letter-spacing:-.01em}.pe-family__key{grid-column:1 / -1;margin-top:1rem;font-size:.9375rem;line-height:1.6;color:#374151}.pe-rem{display:block;width:100%;max-width:24rem;height:auto;margin-top:.75rem;overflow:visible}.pe-rem text{font-family:var(--pe-num);font-weight:700}.pe-rem__group{fill:var(--pe-known-bg);stroke:#6366f1;stroke-width:1.5}.pe-rem__dot{fill:var(--pe-brand)}.pe-rem__left{fill:var(--pe-rest-bg);stroke:#b45309;stroke-width:1.5;stroke-dasharray:5 3}.pe-rem__dot--left{fill:#b45309}.pe-rem__empty{fill:#fff;stroke:#b45309;stroke-width:1.5;stroke-dasharray:3 2.5}.pe-rem__bracket{fill:none;stroke:#6366f1;stroke-width:2;stroke-linecap:round}.pe-rem__text{font-size:15px;fill:var(--pe-ink)}.pe-rem__text--left{fill:var(--pe-rest-fg)}.pe-rem__sub{font-size:12px;font-weight:600;fill:var(--pe-muted)}.pe-work--wide .pe-step__expr--wrap{white-space:normal;font-size:clamp(1.125rem,4.6vw,1.5rem)}.pe-frac{position:relative;display:inline-flex;flex-direction:column;align-items:stretch;vertical-align:middle;margin-inline:.08em;font-family:var(--pe-num);font-weight:800;font-size:.9em;line-height:1;text-align:center;font-variant-numeric:tabular-nums;white-space:nowrap}.pe-frac__n{padding:0 .12em .14em;border-bottom:.09em solid currentColor}.pe-frac__d{padding:.14em .12em 0}.pe-known:has(.pe-frac),.pe-rest:has(.pe-frac){display:inline-flex;align-items:center;padding:.18em .32em;margin-inline:0;border-radius:.5rem}@media(max-width:33.999rem){.pe-step:has(.pe-frac),.pe-work--fractions .pe-step{row-gap:.55rem}}.pe-bars{max-width:26rem;margin:0}.pe-bars__rows{--name-w: 3.25rem;--gap: .75rem;position:relative;display:grid;grid-template-columns:var(--name-w) minmax(0,1fr);align-items:center;gap:.7rem var(--gap)}.pe-bars__name{justify-self:center;font-size:1.5rem;color:var(--pe-ink)}.pe-bars__bar{display:block;width:100%;height:auto}.pe-bars__fill{stroke:none}.pe-bars__bar--known .pe-bars__fill{fill:#a5b4fc}.pe-bars__bar--rest .pe-bars__fill{fill:#fcd34d}.pe-bars__cuts{fill:none;stroke:var(--pe-ink);stroke-opacity:.35;stroke-width:1.5}.pe-bars__frame{fill:none;stroke:var(--pe-ink);stroke-width:3}.pe-bars__guide{position:absolute;top:-.4rem;bottom:-.4rem;left:calc(var(--name-w) + var(--gap) + (100% - var(--name-w) - var(--gap)) * var(--guide));border-left:2px dashed var(--pe-brand-deep);pointer-events:none}.pe-bars__cap{margin:.6rem 0 0;font-size:.9375rem;line-height:1.5;color:var(--pe-muted)}.pe-nline{max-width:26rem;margin:0}.pe-nline svg{display:block;width:100%;height:auto;overflow:visible}.pe-nline__axis{stroke:var(--pe-ink);stroke-width:3;stroke-linecap:round}.pe-nline__mark{stroke:var(--pe-ink);stroke-width:2;stroke-linecap:round}.pe-nline__mark.is-point{stroke-width:3.5}.pe-nline__dot{fill:var(--pe-brand);stroke:var(--pe-ink);stroke-width:2}.pe-nline__space path{fill:none;stroke:var(--pe-hair-strong);stroke-width:2;stroke-dasharray:4 4;stroke-linecap:round}.pe-nline__space text{font-family:var(--pe-num);font-size:15px;font-weight:700;fill:var(--pe-muted)}.pe-nline__space.is-counted path{stroke:var(--pe-brand-deep);stroke-width:3.5;stroke-dasharray:none}.pe-nline__space.is-counted text{font-size:17px;font-weight:800;fill:var(--pe-brand-deep)}.pe-nline__end{font-family:var(--pe-num);font-size:15px;font-weight:800;fill:var(--pe-ink)}.pe-nline__cap{margin:.6rem 0 0;font-size:.9375rem;line-height:1.5;color:var(--pe-muted)}.pe-parts{max-width:24rem;margin:1.25rem 0 0}.pe-parts svg{display:block;width:100%;height:auto;overflow:visible}.pe-parts__frac line{stroke:var(--pe-ink);stroke-width:4;stroke-linecap:round}.pe-parts__num{font-family:var(--pe-num);font-size:38px;font-weight:800;fill:var(--pe-ink)}.pe-parts__fill{fill:#a5b4fc}.pe-parts__cuts{fill:none;stroke:var(--pe-ink);stroke-opacity:.4;stroke-width:1.5}.pe-parts__frame{fill:none;stroke:var(--pe-ink);stroke-width:3}.pe-parts__bracket{fill:none;stroke:var(--pe-brand-deep);stroke-width:2.5;stroke-linecap:round;stroke-linejoin:round}.pe-parts__label{font-family:var(--pe-num);font-size:17px;font-weight:800;fill:var(--pe-brand-deep)}.pe-about--after{margin-top:1.25rem}.pe-fraclist{display:inline-flex;align-items:center;gap:.6em;vertical-align:middle}.pe-work--fractions .pe-bars{margin-top:1.1rem}.pe-problem+.pe-bars{margin-top:1rem}.pe-eqnote{margin:.15rem 0 1.25rem;max-width:34rem;font-size:.9375rem;line-height:1.5;color:var(--pe-muted)}.pe-work--example{margin-top:1.5rem;max-width:34rem}.pe-mixed{display:inline-flex;align-items:center;gap:.15em;vertical-align:middle;white-space:nowrap}.pe-work--wide.pe-work--stacked .pe-step{grid-template-columns:1.6rem minmax(0,1fr);column-gap:.15rem}.pe-work--wide.pe-work--stacked .pe-step__note{grid-column:2;margin:.1rem 0 0;align-self:auto}.pe-pvc{--pe-whole-bg: #e0e7ff;--pe-whole-fg: #3730a3;--pe-part-bg: #fef3c7;--pe-part-fg: #92400e;margin-top:1.5rem;max-width:34rem;overflow-x:auto}.pe-pvc:focus-visible{outline:3px solid var(--pe-brand);outline-offset:2px}.pe-pvc__table{width:100%;min-width:17rem;table-layout:fixed;border-collapse:separate;border-spacing:0;font-family:var(--pe-num);text-align:center}.pe-pvc__table th,.pe-pvc__table td{padding:0;min-width:0}.pe-pvc__table th.pe-pvc__ones,.pe-pvc__table td.pe-pvc__ones{border-left:1px solid var(--pe-hair-strong)}.pe-pvc__ones,.pe-pvc__frac{border-right:1px solid var(--pe-hair-strong)}.pe-pvc__table thead th{padding:.55rem .15rem;font-size:clamp(.6875rem,2.9vw,.875rem);font-weight:700;line-height:1.2;border-block:1px solid var(--pe-hair-strong)}.pe-pvc__ones{background:var(--pe-whole-bg);color:var(--pe-whole-fg)}.pe-pvc__frac{background:var(--pe-part-bg);color:var(--pe-part-fg)}.pe-pvc__table tbody td.pe-pvc__ones,.pe-pvc__table tbody td.pe-pvc__frac{border-bottom:1px solid var(--pe-hair-strong)}.pe-pvc__point{width:clamp(1.5rem,7vw,2.25rem);background:var(--pe-ink)}.pe-pvc__point .pe-sr{color:#fff}.pe-pvc__digits td{padding-block:.6rem .4rem;font-size:clamp(2.25rem,11vw,3.5rem);font-weight:800;line-height:1.05}.pe-pvc__digits td.pe-pvc__point{padding-block:0}.pe-pvc__worth td{padding-block:0 .7rem;font-size:clamp(.8125rem,3.4vw,1rem);font-weight:700;line-height:1.2}.pe-pvc__dot{display:inline-block;width:clamp(.6rem,2.6vw,.85rem);height:clamp(.6rem,2.6vw,.85rem);border-radius:50%;background:#fff;vertical-align:middle}.pe-pvc__key{margin:.6rem 0 0;font-size:.875rem;line-height:1.45;color:var(--pe-muted)}.pe-reads{display:grid;gap:.6rem;margin:1.5rem 0 0;padding:0;list-style:none;max-width:34rem;font-size:1.0625rem;line-height:1.5;color:#1f2937}.pe-reads li{padding-left:1rem;border-left:4px solid var(--pe-hair-strong)}.pe-reads .pe-eq{display:block;white-space:normal;color:var(--pe-ink);font-size:1.125rem}.pe-reads .pe-reads__zero{border-left-color:var(--pe-brand)}.pe-sub{margin:2.5rem 0 0;padding-top:1.75rem;border-top:1px solid var(--pe-hair);font-size:1.25rem;font-weight:800;letter-spacing:-.01em;line-height:1.2}.pe-reads+.pe-about{margin-top:1.5rem}.pe-chain{margin:0}.pe-chain .pe-eq{white-space:normal;font-size:clamp(1.25rem,5.6vw,1.75rem);line-height:1.25;text-wrap:balance}.pe-sub+.pe-about{margin-top:.75rem}.pe-shift{--pe-whole-bg: #e0e7ff;--pe-whole-fg: #3730a3;--pe-part-bg: #fef3c7;--pe-part-fg: #92400e;margin-top:1.25rem;max-width:34rem;overflow-x:auto}.pe-shift:focus-visible{outline:3px solid var(--pe-brand);outline-offset:2px}.pe-shift__table{width:100%;min-width:17rem;table-layout:auto;border-collapse:separate;border-spacing:0;font-family:var(--pe-num);text-align:center}.pe-shift__table th,.pe-shift__table td{padding:0;min-width:0}.pe-shift__head{padding:.5rem .25rem;font-size:clamp(.625rem,2.9vw,.8125rem);font-weight:700;line-height:1.2;white-space:nowrap;border-block:1px solid var(--pe-hair-strong);border-right:1px solid var(--pe-hair-strong)}.pe-shift__head--whole,.pe-shift__head--ones,.pe-shift__cell--whole,.pe-shift__cell--ones{background:var(--pe-whole-bg);color:var(--pe-whole-fg)}.pe-shift__head--decimal,.pe-shift__cell--decimal{background:var(--pe-part-bg);color:var(--pe-part-fg)}.pe-shift__point{width:clamp(1rem,5vw,1.5rem);background:var(--pe-ink)}.pe-shift__point .pe-sr{color:#fff}.pe-shift__dot{display:inline-block;width:.55rem;height:.55rem;border-radius:50%;background:#fff;vertical-align:middle}.pe-shift__cell{height:clamp(3rem,14vw,4rem);font-size:clamp(1.75rem,8.5vw,2.5rem);font-weight:800;line-height:1;border-right:1px solid var(--pe-hair-strong);border-bottom:1px solid var(--pe-hair-strong)}.pe-shift__row--start .pe-shift__cell{font-weight:600}.pe-shift__digit{display:inline-block;min-width:1.15em;padding:.08em 0;border-radius:.3em;border:2px solid transparent}.pe-shift__digit--hold{border:2px dashed currentColor;font-weight:600;opacity:.85}.pe-shift__move td{padding:.55rem .25rem;font-size:clamp(.875rem,3.6vw,1rem);font-weight:700;line-height:1.3;color:var(--pe-ink);background:var(--pe-canvas);border-bottom:1px solid var(--pe-hair-strong)}.pe-shift__arrow{margin-right:.35rem;font-size:1.1em}.pe-shift__op{margin-right:.4rem;color:var(--pe-brand-deep)}.pe-shift__key{margin:.6rem 0 .9rem;font-size:.875rem;line-height:1.45;color:var(--pe-muted)}.pe-forms{margin:1.5rem 0 0;max-width:34rem;display:grid;gap:.6rem;padding:1rem 1.1rem;background:#fff;border:1px solid var(--pe-hair);border-radius:.75rem}.pe-forms>div{display:grid;gap:.1rem}@media(min-width:30rem){.pe-forms>div{grid-template-columns:8.5rem minmax(0,1fr);gap:.75rem;align-items:baseline}}.pe-forms dt{font-size:.8125rem;font-weight:700;color:var(--pe-muted)}.pe-forms dd{margin:0;font-size:1.125rem;line-height:1.35;color:var(--pe-ink)}.pe-forms dd.pe-eq{white-space:normal;font-size:1.25rem}.pe-scope .pe-forms+.pe-level{margin-top:1.5rem}.pe-about--answer{margin-top:.6rem;padding-left:1rem;border-left:4px solid var(--pe-brand)}.pe-about--answer .pe-eq{white-space:normal;font-size:clamp(1.25rem,5.4vw,1.625rem);line-height:1.25;text-wrap:balance}.pe-inline{color:var(--pe-brand-deep);font-weight:600;text-underline-offset:3px}.pe-inline:hover{text-decoration-thickness:2px}.pe-inline:focus-visible{outline:3px solid var(--pe-brand);outline-offset:2px;border-radius:.25rem}.pe-band--follow{border-top:0;padding-block:1.5rem 1.25rem}.pe-band--follow .pe-band__title{padding-top:1.75rem;border-top:1px solid var(--pe-hair)}.pe-band__title+.pe-about{margin-top:1rem}.pe-about--shortcut{margin-top:2.5rem;padding-top:1.5rem;border-top:1px solid var(--pe-hair)}.pe-sub .pe-eq{white-space:normal}.pe-align{margin-top:1.5rem;max-width:34rem;overflow-x:auto}.pe-align:focus-visible{outline:3px solid var(--pe-brand);outline-offset:2px}.pe-align__table{width:min(100%,calc(8rem + var(--pe-align-n, 3) * 6.5rem));min-width:17rem;table-layout:fixed;border-collapse:separate;border-spacing:0;font-family:var(--pe-num);text-align:center}.pe-align__table th,.pe-align__table td{padding:0;min-width:0}.pe-align__table thead th{padding:.5rem .1rem;font-size:clamp(.625rem,2.6vw,.8125rem);font-weight:700;line-height:1.2;letter-spacing:-.01em;color:var(--pe-muted);border-bottom:1px solid var(--pe-hair-strong)}.pe-align__table th.pe-align__ones{width:2.25rem}.pe-align__table th.pe-align__name{width:clamp(2.75rem,14vw,4.25rem);text-align:left;padding-left:.1rem}.pe-align__table tbody th.pe-align__name{font-size:clamp(.9375rem,4vw,1.25rem);font-weight:700;color:var(--pe-muted)}.pe-align__col{border-left:1px solid var(--pe-hair)}.pe-align__table tbody td{padding-block:.45rem;font-size:clamp(1.75rem,8vw,2.75rem);font-weight:800;line-height:1.1;color:var(--pe-ink)}.pe-align__table tbody tr+tr td,.pe-align__table tbody tr+tr th{border-top:1px solid var(--pe-hair)}.pe-align__table tbody tr:last-child .pe-align__col:last-child{border-right:1px solid var(--pe-hair)}.pe-align__point{width:clamp(1.1rem,5vw,1.6rem);border-left:1px solid var(--pe-hair)}.pe-align__table tbody td.pe-align__point{padding-block:0}.pe-align__dot{display:inline-block;width:clamp(.5rem,2.2vw,.7rem);height:clamp(.5rem,2.2vw,.7rem);border-radius:50%;background:var(--pe-ink);vertical-align:middle}.pe-align__pad{display:inline-block;min-width:1.1em;padding:.04em 0;border:2px dashed currentColor;border-radius:.3em;font-weight:600;opacity:.8}.pe-align__key{margin:.6rem 0 0;font-size:.875rem;line-height:1.45;color:var(--pe-muted)}.pe-nline--decimal{max-width:28rem;margin-top:1.25rem}.pe-nline__target{fill:var(--pe-brand-deep);font-size:17px;font-weight:800}.pe-window{max-width:28rem;margin:1.25rem 0 0}.pe-window svg{display:block;width:100%;height:auto;overflow:visible}.pe-window__axis,.pe-window__end{stroke:var(--pe-ink);stroke-width:3;stroke-linecap:round}.pe-window__mid{stroke:var(--pe-ink);stroke-width:2.5;stroke-linecap:round}.pe-window__dot{fill:var(--pe-brand);stroke:var(--pe-ink);stroke-width:2}.pe-window__half{stroke:var(--pe-hair-strong);stroke-width:2;stroke-dasharray:4 4;stroke-linecap:round}.pe-window__half.is-near{stroke:var(--pe-brand-deep);stroke-width:5;stroke-dasharray:none}.pe-window__num{font-family:var(--pe-num);font-size:15px;font-weight:700;fill:var(--pe-ink)}.pe-window__num--value{font-size:17px;font-weight:800;fill:var(--pe-brand-deep)}.pe-window__tag{font-family:var(--pe-num);font-size:12px;font-weight:700;fill:var(--pe-muted)}.pe-window__near{font-family:var(--pe-num);font-size:13px;font-weight:600;fill:var(--pe-muted)}.pe-window__near.is-near{font-weight:800;fill:var(--pe-brand-deep)}.pe-window__cap{margin:.6rem 0 0;font-size:.9375rem;line-height:1.5;color:var(--pe-muted)}.pe-dcol{margin-top:1.25rem}.pe-dcol__grid{--pe-dcol-size: clamp(2rem, 10.5vw, 2.75rem);display:inline-grid;justify-items:center;align-items:end;column-gap:.14em;font-family:var(--pe-num);font-size:var(--pe-dcol-size);font-weight:800;line-height:1.15;font-variant-numeric:tabular-nums;color:var(--pe-ink)}.pe-dcol__d{position:relative;box-sizing:border-box;min-width:1.25em;padding-block:.02em;border:2px solid transparent;border-radius:.3em;text-align:center}.pe-dcol__d--added{border-style:dashed;border-color:currentColor;font-weight:600;opacity:.8}.pe-dcol__d--struck{text-decoration:line-through;text-decoration-thickness:.07em;color:var(--pe-muted)}.pe-dcol__d--answer{color:var(--pe-brand-deep)}.pe-dcol__ten{position:absolute;top:.05em;right:calc(100% + .04em);font-size:.5em;font-weight:800;line-height:1;color:var(--pe-brand-deep);text-decoration:none}.pe-dcol__op{justify-self:end;margin-right:.2em;font-weight:700;color:var(--pe-muted)}.pe-dcol__point{min-width:.45em;text-align:center}.pe-dcol__rule{grid-column:1 / -1;justify-self:stretch;align-self:stretch;height:3px;margin-block:.2em;border-radius:2px;background:var(--pe-ink)}.pe-dcol__mark{min-height:.7em}.pe-dcol__carry,.pe-dcol__new{display:inline-block;font-size:.5em;font-weight:800;line-height:1.2;color:var(--pe-known-fg)}.pe-dcol__carry{min-width:1.7em;padding:.1em .3em;border-radius:999px;background:var(--pe-known-bg);text-align:center}.pe-dcol__key{margin:.6rem 0 0;max-width:30rem;font-size:.875rem;line-height:1.45;color:var(--pe-muted)}.pe-dcol__key+.pe-dcol__key{margin-top:.2rem}.pe-dcol+.pe-steps{margin-top:1.75rem}.pe-again .pe-dcol{margin-top:0;max-width:15rem}.pe-again .pe-dcol__grid{--pe-dcol-size: clamp(1.75rem, 9vw, 2.25rem)}.pe-area-pair{display:grid;gap:1.5rem;margin-block:1.5rem;align-items:center}.pe-area-pair .pe-reads{margin:0}.pe-area{margin:0;width:100%;max-width:20rem}.pe-area svg{display:block;width:100%;height:auto;overflow:visible}.pe-area__whole{fill:#fff}.pe-area__strip{fill:#eef2ff}.pe-area__overlap{fill:var(--pe-hair-strong)}.pe-area__hatch{fill:none;stroke:#818cf8;stroke-width:1}.pe-area__grid{fill:none;stroke:#64748b;stroke-width:.8}.pe-area__outline{fill:none;stroke:var(--pe-ink);stroke-width:1.5}.pe-area__boundary,.pe-area__bracket{fill:none;stroke:var(--pe-brand-deep);stroke-width:2.5}.pe-area__dimension{font-family:var(--pe-num);font-size:17px;font-weight:800;fill:var(--pe-ink)}.pe-area__unit{font-size:16px;font-weight:600}.pe-area__caption{display:grid;gap:.3rem;margin-top:.25rem}.pe-area__caption .pe-eq{font-size:1.125rem;white-space:normal}.pe-area__key{font-size:.9375rem;line-height:1.5;color:var(--pe-muted)}.pe-band .pe-product-note{margin-top:1.25rem}@media(min-width:44rem){.pe-area-pair{grid-template-columns:minmax(0,1fr) 20rem;gap:2rem}}.pe-hundredths-pair{display:grid;gap:1.75rem;align-items:center;margin-block:1.5rem}.pe-hundredths{justify-self:center;margin:0;width:100%;max-width:17rem}.pe-hundredths__whole{margin:0 0 .25rem;font-size:.8125rem;font-weight:700;color:var(--pe-muted);text-align:center}.pe-hundredths svg{display:block;width:100%;height:auto}.pe-hundredths__whole-square{fill:#fff}.pe-hundredths__fill{fill:#e0e7ff}.pe-hundredths__hatch{fill:none;stroke:#818cf8;stroke-width:1}.pe-hundredths__grid{fill:none;stroke:#64748b;stroke-width:.8}.pe-hundredths__frame,.pe-hundredths__quarters{fill:none;stroke:var(--pe-ink);stroke-width:2.5}.pe-hundredths__caption{display:grid;gap:.3rem;margin-top:.5rem;font-size:.9375rem;line-height:1.5;color:var(--pe-muted)}.pe-hundredths__result{font-family:var(--pe-num);font-size:1.0625rem;font-weight:700;color:var(--pe-ink)}.pe-conversion-eq{display:flex;flex-wrap:wrap;align-items:center;gap:.4em;margin:.5rem 0;font-family:var(--pe-num);font-size:clamp(1.25rem,5.6vw,1.625rem);font-weight:700;line-height:1.3;color:var(--pe-ink)}.pe-conversion-eq--main{font-size:clamp(1.625rem,6.5vw,2.125rem);margin-block:1.25rem}.pe-conversion-term{display:inline-flex;align-items:center;gap:.4em;white-space:nowrap}.pe-conversion-inline{display:inline;white-space:nowrap;font-family:var(--pe-num);font-weight:700;color:var(--pe-ink)}.pe-conversion-cases{gap:1.5rem}.pe-reads .pe-conversion-eq{margin:0 0 .6rem}@media(min-width:44rem){.pe-hundredths-pair{grid-template-columns:minmax(0,1fr) 17rem;gap:2.5rem}.pe-conversion-cases{grid-template-columns:repeat(2,minmax(0,1fr));gap:2.5rem}}