/* Converge: the paper. Typesetting that follows a LaTeX article, one sheet per section. */

.doc { padding: 24px 16px 64px; }

.sheet {
  position: relative;
  width: 100%;
  max-width: calc(var(--page-w) * var(--zoom));
  margin: 0 auto 24px;
  padding: 64px var(--page-pad-x) 56px;
  background: var(--page);
  color: var(--ink);
  box-shadow: var(--sheet-shadow);
  counter-reset: footnote;
}

/* running head and folio, like a journal page */
.sheet__head {
  display: flex; justify-content: space-between; gap: 16px;
  margin: -28px 0 28px;
  font-size: 0.74em; font-style: italic; color: var(--ink-3);
}
.sheet__folio {
  margin-top: 40px; text-align: center; font-size: 0.8em; color: var(--ink-2);
  font-variant-numeric: lining-nums;
}

/* the vertical preprint stamp in the left margin of page 1 */
.stamp {
  position: absolute; left: 30px; top: 50%;
  transform: translate(-50%, -50%) rotate(-90deg);
  white-space: nowrap;
  font-size: 22px; letter-spacing: 0.02em;
  color: #8e8e8e;
  pointer-events: none;
  user-select: none;
}
:root[data-theme="dark"] .stamp { color: #6c6c6c; }
@media (prefers-color-scheme: dark) { :root:not([data-theme="light"]) .stamp { color: #6c6c6c; } }

/* ---------- title block (NeurIPS style: title between two rules) ---------- */

.title {
  margin: 0 0 22px;
  padding: 18px 0 16px;
  border-top: 4px solid var(--rule);
  border-bottom: 1px solid var(--rule);
  text-align: center;
  font-size: 1.62em;
  line-height: 1.22;
  font-weight: 700;
  letter-spacing: -0.005em;
  text-wrap: balance;
}
.title__sub {
  display: block; margin-top: 10px;
  font-size: 0.56em; font-weight: 400; font-style: italic; letter-spacing: 0;
}

.authors { text-align: center; margin: 0 0 30px; line-height: 1.35; }
.authors__name { font-weight: 700; font-variant: small-caps; font-size: 1.04em; letter-spacing: 0.02em; }
.authors__aff { display: block; font-size: 0.9em; }
.authors__mail { display: block; font-family: var(--mono); font-size: 0.82em; margin-top: 2px; }
.authors sup { font-size: 0.6em; }

.abstract { margin: 0 auto 26px; max-width: 88%; font-size: 0.92em; }
.abstract__h { margin: 0 0 6px; text-align: center; font-size: 1em; font-weight: 700; }
.abstract p { margin: 0; text-align: justify; hyphens: auto; }
.abstract p + p { text-indent: 1.5em; }
.keywords { margin: 12px 0 0; font-size: 0.95em; text-align: left; }
.abstract p.keywords { text-indent: 0; }
.keywords b { font-style: normal; }

/* ---------- headings ---------- */

.sec {
  margin: 1.5em 0 0.6em;
  font-size: 1.3em; line-height: 1.25; font-weight: 700;
  display: flex; gap: 0.9em;
}
.sheet > .sec:first-of-type, .sheet__head + .sec { margin-top: 0; }
.subsec { margin: 1.3em 0 0.5em; font-size: 1.08em; line-height: 1.3; font-weight: 700; display: flex; gap: 0.8em; }
.sec__n, .subsec__n { flex: none; font-variant-numeric: lining-nums; }
.para { font-weight: 700; margin-right: 0.5em; }       /* \paragraph{} run-in heading */

/* ---------- prose ---------- */

.prose p { margin: 0; text-align: justify; hyphens: auto; -webkit-hyphens: auto; }
.prose p + p { text-indent: 1.5em; }
.prose > * + p:not(:first-child) { margin-top: 0; }
.prose .noindent, .prose p.noindent { text-indent: 0; }
.prose > ul, .prose > ol { margin: 0.5em 0; padding-left: 1.6em; }
.prose li { margin: 0.2em 0; text-align: left; }
.prose li::marker { color: var(--ink); }
.prose ul { list-style: none; }
.prose ul > li { position: relative; }
.prose ul > li::before { content: "\2022"; position: absolute; left: -1em; }

.prose em, .prose i { font-style: italic; }
.prose strong, .prose b { font-weight: 700; }
.sc { font-variant: small-caps; letter-spacing: 0.02em; }
.nowrap { white-space: nowrap; }

code, kbd, .tt {
  font-family: var(--mono);
  font-size: 0.92em;
  letter-spacing: 0;
  hyphens: none;
}
pre {
  margin: 0.8em 0; padding: 10px 14px; overflow-x: auto;
  background: var(--fill); font-family: var(--mono); font-size: 0.8em; line-height: 1.45;
  text-align: left;
}

/* quotes from official documents */
.quote { margin: 0.8em 2em; font-size: 0.95em; text-align: justify; hyphens: auto; }
.quote p { text-indent: 0 !important; }

/* inline citation markers and footnote markers */
a.cite { color: var(--cite); white-space: nowrap; }
a.fnref { color: var(--link); font-size: 0.7em; vertical-align: super; line-height: 0; padding: 0 1px; }

.footnotes {
  margin-top: 32px; padding-top: 6px; font-size: 0.78em; line-height: 1.4; color: var(--ink);
  position: relative;
}
.footnotes::before { content: ""; position: absolute; top: 0; left: 0; width: 34%; border-top: 1px solid var(--rule); }
.footnotes ol { margin: 0; padding-left: 1.2em; }
.footnotes li { margin: 0.25em 0; text-align: justify; hyphens: auto; }
.footnotes li::marker { font-size: 0.85em; }

/* ---------- display equations, numbered on the right ---------- */

.eq {
  display: grid; grid-template-columns: 1fr auto; align-items: center; gap: 12px;
  margin: 0.9em 0;
}
.eq__body { text-align: center; font-size: 0.94em; line-height: 1.6; overflow-x: auto; }
@media (min-width: 861px) { .eq__body { white-space: nowrap; } }
.eq__n { font-variant-numeric: lining-nums; }
.eq var, .math var { font-style: italic; }
.eq .op, .math .op { font-style: normal; padding: 0 0.12em; }
.eq sub, .math sub { font-size: 0.72em; }
.where { margin: 0.2em 0 0.8em; font-size: 0.95em; }
.where td { vertical-align: top; padding: 1px 10px 1px 0; }
.where td:first-child { white-space: nowrap; text-align: right; }

/* ---------- theorem-like environments ---------- */

.thm { margin: 1.1em 0; padding: 12px 16px; border: 1px solid var(--rule); }
.thm__h { font-weight: 700; }
.thm__name { font-weight: 400; }
.thm__body { font-style: italic; }
.thm__body em { font-style: normal; }
.proof { margin: 0.5em 0 0; font-size: 0.95em; }
.proof__h { font-style: italic; margin-right: 0.3em; }
.qed {
  display: inline-block; width: 0.62em; height: 0.62em; margin-left: 0.4em;
  border: 1px solid currentColor; vertical-align: -0.02em; float: right; margin-top: 0.42em;
}
.proof::after { content: ""; display: block; clear: both; }

.remark { margin: 1em 0; }
.remark__h { font-style: italic; }
.remark p { margin: 0; text-align: justify; hyphens: auto; }

/* a trap: same idiom, set off by a double rule like a boxed warning in a manual */
.trap { margin: 1.1em 0; padding: 10px 14px; border-left: 3px double var(--rule); }
.trap__h { font-weight: 700; font-variant: small-caps; letter-spacing: 0.03em; margin-right: 0.35em; }
.trap p { margin: 0; text-align: justify; hyphens: auto; }

/* ---------- algorithm (algorithmic package look) ---------- */

.algo { margin: 1.2em 0; border-top: 2px solid var(--rule); border-bottom: 2px solid var(--rule); }
.algo__cap { padding: 4px 0; border-bottom: 1px solid var(--rule); }
.algo__cap b { margin-right: 0.35em; }
.algo ol {
  margin: 0; padding: 6px 0 8px; list-style: none; counter-reset: ln;
  font-size: 0.93em; line-height: 1.45;
}
.algo li { counter-increment: ln; position: relative; padding-left: 2.6em; text-align: left; }
.algo li::before {
  content: counter(ln) ":"; position: absolute; left: 0; width: 1.9em; text-align: right;
  font-size: 0.8em; top: 0.18em; color: var(--ink-2); font-variant-numeric: lining-nums;
}
.algo .in1 { padding-left: 4.2em; }
.algo .in2 { padding-left: 5.8em; }
.algo .kw { font-weight: 700; }
.algo .cm { font-style: italic; color: var(--ink-2); }
.algo .cm::before { content: "\25B7\00a0"; font-style: normal; }

/* ---------- tables (booktabs: no vertical rules) ---------- */

.tbl { margin: 1.2em 0; }
.tbl__cap { margin: 0 0 6px; font-size: 0.92em; text-align: left; }
.tbl__cap b, .fig__cap b { font-weight: 400; }
.tbl__wrap { overflow-x: auto; }
table.bt {
  width: 100%; border-collapse: collapse; font-size: 0.86em; line-height: 1.35;
  border-top: 2px solid var(--rule); border-bottom: 2px solid var(--rule);
}
table.bt th, table.bt td { padding: 5px 8px; text-align: left; vertical-align: top; }
table.bt thead th { font-weight: 700; border-bottom: 1px solid var(--rule); vertical-align: bottom; }
table.bt tbody tr.mid td { border-top: 1px solid var(--rule); }
table.bt th:first-child, table.bt td:first-child { padding-left: 2px; }
table.bt td.num, table.bt th.num { text-align: right; font-variant-numeric: tabular-nums lining-nums; white-space: nowrap; }
table.bt .muted { color: var(--ink-3); }
table.bt tbody tr + tr td { border-top: 1px solid transparent; }
table.bt.bt--rows tbody tr + tr td { border-top: 1px solid var(--hair); }

/* course swatches, as in a plot legend */
.sw { display: inline-block; width: 0.8em; height: 0.8em; margin-right: 0.35em; vertical-align: -0.05em; border-radius: 1px; }
.sw--mlf { background: var(--c-mlf); }
.sw--mlt { background: var(--c-mlt); }
.sw--mlp { background: var(--c-mlp); }
.sw--proj { background: var(--c-proj); }

/* ---------- figures ---------- */

.fig { margin: 1.4em 0; }
.fig__cap { margin: 8px 0 0; font-size: 0.9em; text-align: justify; hyphens: auto; }
.fig__box { position: relative; }

/* ---------- references ---------- */

.refs { margin: 0; padding: 0; list-style: none; font-size: 0.86em; line-height: 1.4; }
.refs li { display: grid; grid-template-columns: 2.6em 1fr; gap: 0 0.4em; margin: 0 0 0.55em; }
.refs .lbl { text-align: right; color: var(--ink); }
.refs .t { font-style: italic; }
.refs .note { color: var(--ink-2); }
.refs .url { font-family: var(--mono); font-size: 0.92em; word-break: break-all; }
.refs li:target { outline: 1px dashed var(--cite); outline-offset: 3px; }
.refs__h { margin: 1.1em 0 0.4em; font-size: 0.95em; font-weight: 700; }

/* ---------- small screens: the page becomes the screen ---------- */

@media (max-width: 860px) {
  :root { --page-pad-x: 22px; }
  .doc { padding: 10px 0 40px; }
  .sheet { margin-bottom: 10px; padding-top: 40px; padding-bottom: 36px; box-shadow: none; }
  .sheet__head { margin: -18px 0 18px; }
  .stamp {
    position: static; transform: none; display: block; margin: -14px 0 18px;
    font-size: 12px; text-align: center; white-space: normal;
  }
  .abstract { max-width: none; }
  .quote { margin: 0.8em 1em; }
}
@media (max-width: 560px) {
  :root { --fs: calc(17.5px * var(--zoom)); --page-pad-x: 16px; }
  .prose p, .abstract p, .fig__cap, .remark p, .trap p, .footnotes li { text-align: left; }
  .title { font-size: 1.42em; }
  .sec { font-size: 1.2em; gap: 0.7em; }
  .thm { padding: 10px 12px; }
  .eq { grid-template-columns: 1fr; }
  .eq__n { justify-self: end; margin-top: -0.4em; }
}

/* week tables: a narrow number column, then text */
table.bt--weeks td:first-child, table.bt--weeks th:first-child { width: 2.4em; }
table.bt--weeks td:last-child { color: var(--ink-2); font-style: italic; }
@media (max-width: 560px) {
  table.bt--weeks th:last-child, table.bt--weeks td:last-child { display: none; }
}
.sec .sw { width: 0.62em; height: 0.62em; vertical-align: 0.08em; }

/* numbered notes in the author's voice */
ol.notes { margin: 0.6em 0 0; padding-left: 1.6em; }
ol.notes li { margin: 0.35em 0; text-align: justify; hyphens: auto; }
ol.notes li::marker { font-variant-numeric: lining-nums; }
@media (max-width: 560px) { ol.notes li { text-align: left; } }

/* resource tables: first column is the name, keep it from getting too wide */
table.bt--res td:first-child { width: 38%; }
@media (max-width: 560px) {
  table.bt--res, table.bt--res tbody, table.bt--res tr, table.bt--res td { display: block; width: 100% !important; }
  table.bt--res thead { display: none; }
  table.bt--res tr { padding: 6px 0; }
  table.bt--res td:first-child { font-weight: 700; padding-bottom: 0; }
  table.bt--res.bt--rows tbody tr + tr td { border-top: 0; }
  table.bt--res tbody tr + tr { border-top: 1px solid var(--hair); }
}
.ack { margin-top: 1.4em; }

.sec__n:empty { display: none; }
.refs__intro { margin: 0 0 0.6em; font-size: 0.86em; color: var(--ink-2); }
.refs a { color: var(--link); }
.refs li:target { background: var(--fill); }

/* ---------- Appendix A: doubts ---------- */
.faq-search { display: flex; align-items: center; gap: 12px; margin: 0 0 10px; }
.faq-search input {
  flex: 1; min-width: 0; padding: 6px 8px; border: 0; border-bottom: 1px solid var(--ink);
  background: var(--fill); color: var(--ink); font-family: var(--serif); font-size: 0.95em; border-radius: 0;
}
.faq-count { font-size: 0.85em; font-style: italic; color: var(--ink-2); white-space: nowrap; }
.faq details { border-top: 1px solid var(--hair); }
.faq details:last-child { border-bottom: 1px solid var(--hair); }
.faq summary {
  display: grid; grid-template-columns: 3em 1fr auto; gap: 4px; align-items: baseline;
  padding: 7px 2px; cursor: pointer; list-style: none; font-weight: 700;
}
.faq summary::-webkit-details-marker { display: none; }
.faq summary::after { content: "+"; font-weight: 400; color: var(--ink-2); }
.faq details[open] summary::after { content: "\2212"; }
.faq__n { font-weight: 400; color: var(--ink-2); font-variant-numeric: lining-nums; }
.faq details p { margin: 0 0 10px 3em; font-size: 0.95em; text-align: justify; hyphens: auto; }
.faq-empty { font-style: italic; color: var(--ink-2); }
@media (max-width: 560px) { .faq details p { margin-left: 0; text-align: left; } .faq summary { grid-template-columns: 2.6em 1fr auto; } }

/* ---------- Appendix B: glossary ---------- */
.gloss { margin: 0; display: grid; grid-template-columns: max-content 1fr; gap: 6px 18px; font-size: 0.95em; }
.gloss dt { font-weight: 700; }
.gloss dd { margin: 0; text-align: justify; hyphens: auto; }
@media (max-width: 560px) { .gloss { grid-template-columns: 1fr; gap: 0; } .gloss dd { margin-bottom: 8px; text-align: left; } }

/* citation preview, like arXiv's HTML view */
.cite-tip {
  position: absolute; z-index: 40; padding: 8px 12px;
  background: var(--page); color: var(--ink); border: 1px solid var(--ink);
  box-shadow: 0 6px 20px rgba(0, 0, 0, 0.18);
  font-family: var(--serif); font-size: 15px; line-height: 1.4;
}
.cite-tip .t { font-style: italic; }
.cite-tip .url { font-family: var(--mono); font-size: 0.86em; word-break: break-all; }
.cite-tip__n { color: var(--cite); }
@media print { .cite-tip { display: none !important; } }