:root {
  --bg: #ffffff;
  --bg-code: #f7f7f5;
  --text: #000000;
  --text-muted: #555555;
  --border: #e4e4e0;
  --accent: #1772d0;
  --accent-hover: #f09228;
  --highlight-bg: #ffffd0;
  --tok-kw: #0550ae;
  --tok-comment: #6e7781;
  --shadow: 0 4px 20px rgba(0, 0, 0, 0.10);
}

* {
  box-sizing: border-box;
}

html {
  scroll-behavior: smooth;
  scroll-padding-top: 24px;
}

body {
  margin: 0;
  background: var(--bg);
  color: var(--text);
  font-family: 'Lato', Verdana, Helvetica, sans-serif;
  font-size: 16px;
  line-height: 1.65;
  -webkit-font-smoothing: antialiased;
}

.paper-main,
.paper-main p,
.paper-main a,
.paper-main strong,
.paper-main em,
.paper-main li {
  font-family: 'Lato', Verdana, Helvetica, sans-serif;
  font-size: 16px;
}

a,
a.xref,
a.cite-link {
  color: var(--accent);
  text-decoration: none;
}

a:hover,
a:focus,
a.xref:hover,
a.cite-link:hover {
  color: var(--accent-hover);
  text-decoration: none;
}

/* Continuous 3-column grid:
   - Above ~1500px: TOC sits 140px to the left of the centered 768px paper.
   - Between 1500px and 1104px: TOC stays >= 28px inside the left viewport edge
     (using min(100%, 336px) on the grid track rather than 100vw, so it never
     drifts off-screen) while its gap to the paper narrows smoothly to 36px.
   - Below 1104px: TOC hides and the 768px paper centers cleanly. */
.page-layout {
  display: grid;
  grid-template-columns: minmax(232px, 1fr) minmax(0, 768px) minmax(0, 1fr);
  padding: 20px 28px 72px;
}

.toc-sidebar {
  justify-self: end;
  width: min(100%, 336px);
  padding-right: 36px;
  margin-top: calc(18vh - 20px);
  position: sticky;
  top: 18vh;
  align-self: start;
  font-family: 'Lato', Verdana, Helvetica, sans-serif;
  font-size: 13px;
  line-height: 1.42;
  max-height: calc(82vh - 24px);
  overflow-y: auto;
}

.toc-header {
  max-width: 196px;
  font-weight: 700;
  text-transform: uppercase;
  letter-spacing: 0.06em;
  font-size: 11px;
  color: var(--text-muted);
  margin-bottom: 8px;
}

.toc-list {
  max-width: 196px;
  list-style: none;
  padding: 0;
  margin: 0;
  border-left: 1px solid var(--border);
}

.toc-list li {
  margin: 0;
}

.toc-list a {
  display: block;
  padding: 4px 0 4px 12px;
  font-size: 13px;
  color: var(--text-muted);
  text-decoration: none;
  border-left: 2px solid transparent;
  margin-left: -1px;
  transition: color 0.15s, border-color 0.15s;
}

.toc-list a.active {
  color: var(--accent);
  border-left-color: var(--accent);
  font-weight: 700;
}

.toc-list a:hover {
  color: var(--accent-hover);
  border-left-color: var(--accent-hover);
}

.paper-main {
  grid-column: 2;
  min-width: 0;
}

.layout-spacer {
  grid-column: 3;
}

@media (max-width: 1104px) {
  .page-layout {
    grid-template-columns: minmax(0, 768px);
    justify-content: center;
    padding: 20px 16px 72px;
  }
  .paper-main {
    grid-column: 1;
  }
  .toc-sidebar,
  .layout-spacer {
    display: none;
  }
}

/* Top utility row: flush left & flush right across the full paper width */
.paper-nav {
  display: flex;
  flex-wrap: wrap;
  align-items: center;
  justify-content: space-between;
  gap: 4px 12px;
  margin-bottom: 24px;
  font-size: 14px;
  line-height: 1.35;
  color: var(--text);
}

.paper-nav-links {
  text-align: right;
}

.paper-main .paper-nav,
.paper-main .paper-nav a,
.paper-main .paper-nav-links {
  font-size: 14px;
}

#copy-bibtex-btn {
  position: relative;
}

#copy-bibtex-btn::after {
  content: "Copied!";
  position: absolute;
  bottom: calc(100% + 5px);
  left: 50%;
  transform: translateX(-50%);
  padding: 2px 7px;
  background: #222222;
  color: #ffffff;
  font-size: 12px;
  line-height: 1.4;
  border-radius: 3px;
  white-space: nowrap;
  pointer-events: none;
  opacity: 0;
  transition: opacity 0.15s ease-in-out;
}

#copy-bibtex-btn.is-copied::after {
  opacity: 1;
}

/* Paper Header: Title, Authors, Mixed Affiliations, Emails & Venue */
.paper-header {
  text-align: center;
  margin-bottom: 26px;
}

.paper-title {
  font-family: 'Lato', Verdana, Helvetica, sans-serif;
  font-size: 32px;
  line-height: 1.22;
  font-weight: 400;
  margin: 0 0 14px;
  text-wrap: balance;
}

.paper-main .paper-authors,
.paper-main .paper-authors a {
  font-size: 16.5px;
  line-height: 1.45;
}

.paper-authors {
  margin-bottom: 4px;
}

.paper-authors.author-blocks {
  display: flex;
  flex-wrap: wrap;
  justify-content: center;
  gap: 8px 30px;
  margin-bottom: 8px;
}

.author-entry {
  display: inline-flex;
  flex-direction: column;
  align-items: center;
  line-height: 1.38;
}

.author-sup {
  font-size: 11px;
  line-height: 0;
  margin-left: 1px;
  color: var(--text-muted);
}

.author-affil {
  font-size: 13.5px;
  color: var(--text-muted);
  margin-top: 1px;
}

.author-email,
.paper-emails {
  font-family: "JetBrains Mono", ui-monospace, SFMono-Regular, Menlo, Consolas, monospace;
  font-size: 12.5px;
  color: var(--text-muted);
  margin-top: 1px;
  font-variant-ligatures: none;
}

.paper-emails {
  margin-top: 3px;
}

.paper-affil {
  font-size: 14px;
  color: var(--text-muted);
  margin: 2px 0 0;
}

.paper-affil sup {
  font-size: 10.5px;
  margin-right: 1.5px;
}

.affil-item + .affil-item {
  margin-left: 14px;
}

.paper-notes {
  font-size: 12.5px;
  color: var(--text-muted);
  margin-top: 2px;
}

.paper-notes sup {
  font-size: 10.5px;
  margin-right: 1px;
}

.paper-venue {
  font-size: 14px;
  color: var(--text-muted);
  margin-top: 3px;
}

/* Abstract: full paper width so left & right margins match nav and body */
.abstract-box {
  width: 100%;
  margin: 0 0 32px;
  padding: 0;
}

.abstract-title {
  font-family: 'Lato', Verdana, Helvetica, sans-serif;
  font-size: 19px;
  font-weight: 400;
  color: var(--text);
  margin: 0 0 10px;
  text-align: center;
}

.abstract-box p {
  margin: 0;
  font-size: 16px;
  line-height: 1.65;
  text-align: justify;
  hyphens: auto;
}

/* Headings, Theorems, Lists & Paragraphs */
.paper-main .section-heading,
.paper-main .section-heading .sec-num {
  font-family: 'Lato', Verdana, Helvetica, sans-serif;
  font-size: 23px;
  font-weight: 400;
}

.section-heading {
  margin: 38px 0 12px;
  display: flex;
  align-items: baseline;
  gap: 7px;
}

.sec-num {
  color: var(--text);
}

.paper-main .heading-anchor {
  margin-left: 6px;
  font-size: 16px;
  font-weight: 400;
  color: var(--text-muted);
  text-decoration: none;
  opacity: 0;
  transition: opacity 0.15s;
}

.section-heading:hover .heading-anchor,
.subsec-heading:hover .heading-anchor {
  opacity: 0.7;
}

.paper-main .subsec-heading,
.paper-main .subsec-heading .sec-num {
  font-family: 'Lato', Verdana, Helvetica, sans-serif;
  font-size: 18px;
  font-weight: 700;
}

.subsec-heading {
  margin: 28px 0 8px;
  display: flex;
  align-items: baseline;
  gap: 6px;
}

.theorem-block {
  margin: 18px 0;
}

.proof-block {
  margin: 14px 0 18px;
}

p {
  margin: 0 0 14px;
  text-align: justify;
  hyphens: auto;
}

ul.paper-list,
ol.paper-list {
  margin: 0 0 14px;
  padding-left: 22px;
}

ul.paper-list li,
ol.paper-list li {
  margin-bottom: 4px;
  text-align: justify;
  hyphens: auto;
}

code {
  font-family: "JetBrains Mono", ui-monospace, SFMono-Regular, Menlo, Consolas, monospace;
  font-size: 0.85em;
  background: var(--bg-code);
  padding: 1.5px 4px;
  border-radius: 3px;
  font-variant-ligatures: none;
}

/* Match KaTeX_Main x-height optically to Lato while keeping KaTeX's internal
   line-height: 1.2 intact (so \neq / accents align) and clamping outer inline
   line-box contributions (CSS equivalent of \setlength{\lineskiplimit}{-3pt}). */
.math-nowrap {
  white-space: nowrap;
}

.math-inline {
  line-height: 0;
}

.math-inline .katex {
  font-size: 1.05em;
}

.math-inline .katex-html > .base,
.math-inline .katex-html > .katex-base {
  margin-top: -0.28em;
  margin-bottom: -0.28em;
}

.math-display .katex {
  font-size: 1.03em;
}

/* Display Equations */
.equation-row {
  display: flex;
  align-items: center;
  justify-content: space-between;
  margin: 14px 0;
  padding: 6px 10px;
  border-radius: 4px;
  transition: background 0.25s;
}

.equation-row:target {
  background: var(--highlight-bg);
}

.math-display {
  flex: 1;
  text-align: center;
  min-width: 0;
  overflow-x: auto;
  overflow-y: hidden;
  padding: 4px 0;
}

.math-display .katex-display {
  margin: 0.2em 0;
}

.eq-num {
  font-family: 'Lato', Verdana, Helvetica, sans-serif;
  font-size: 14px;
  color: var(--text-muted);
  margin-left: 14px;
  flex-shrink: 0;
}

/* Code Listings */
.code-card {
  position: relative;
  margin: 16px 0 20px;
  background: var(--bg-code);
  border: 1px solid var(--border);
  border-radius: 4px;
  overflow: hidden;
}

.copy-code-btn {
  position: absolute;
  top: 7px;
  right: 7px;
  padding: 2px 8px;
  font-family: 'Lato', Verdana, Helvetica, sans-serif;
  font-size: 12px;
  color: var(--text-muted);
  background: #ffffff;
  border: 1px solid var(--border);
  border-radius: 3px;
  cursor: pointer;
  opacity: 0.85;
  transition: opacity 0.15s, color 0.15s, border-color 0.15s;
}

.copy-code-btn:hover {
  opacity: 1;
  border-color: var(--accent-hover);
  color: var(--accent-hover);
}

.code-listing {
  margin: 0;
  padding: 12px 14px;
  overflow-x: auto;
  font-family: "JetBrains Mono", ui-monospace, SFMono-Regular, Menlo, Consolas, monospace;
  font-size: 12.2px;
  line-height: 1.45;
  font-variant-ligatures: none;
  tab-size: 2;
}

.code-listing code {
  background: none;
  padding: 0;
  font-size: inherit;
  white-space: pre;
}

.tok-kw {
  color: var(--tok-kw);
  font-weight: 500;
}

.tok-comment {
  color: var(--tok-comment);
}

/* Algorithm / Pseudocode Floats */
.algorithm-card {
  margin: 24px 0;
  border-top: 1.5px solid var(--text);
  border-bottom: 1.5px solid var(--text);
  transition: background 0.2s;
}

.algorithm-card:target {
  background: var(--highlight-bg);
}

.paper-main .algorithm-header,
.paper-main .algorithm-header strong,
.paper-main .algorithm-header a {
  font-size: 14px;
  line-height: 1.45;
}

.algorithm-header {
  padding: 6px 4px;
  border-bottom: 1px solid var(--border);
}

.paper-main .algorithm-body,
.paper-main .algorithm-body strong,
.paper-main .algorithm-body em,
.paper-main .algorithm-body a {
  font-size: 14px;
  line-height: 1.58;
}

.algorithm-body {
  padding: 7px 6px;
}

.alg-line {
  display: flex;
  align-items: baseline;
  gap: 10px;
  padding: 1px 0;
}

.alg-lineno {
  width: 22px;
  flex-shrink: 0;
  text-align: right;
  font-size: 12px;
  color: var(--text-muted);
  user-select: none;
  font-variant-numeric: tabular-nums;
}

.alg-code {
  flex: 1;
  min-width: 0;
}

.alg-comment {
  margin-left: auto;
  padding-left: 16px;
  color: var(--text-muted);
  font-size: 13px;
  white-space: nowrap;
}

/* Figures, Subfigures & Embedded Widgets */
.paper-figure {
  margin: 26px 0;
  padding: 0;
  background: transparent;
  border: none;
}

.widget-frame {
  width: 100%;
  border: 1px solid var(--border);
  border-radius: 4px;
  background: var(--bg);
}

.fig-top-img-wrap {
  text-align: center;
  margin-bottom: 6px;
}

.fig-img,
.fig-legend-img {
  display: inline-block;
  max-width: 100%;
  height: auto;
  cursor: zoom-in;
}

.subfigure-row {
  display: flex;
  flex-wrap: nowrap;
  align-items: flex-start;
  justify-content: space-between;
  gap: 8px;
  margin-bottom: 8px;
}

.subfigure {
  text-align: center;
  padding: 2px;
  border-radius: 3px;
  transition: background 0.2s;
}

.subfigure:target {
  background: var(--highlight-bg);
}

.paper-main .subcaption,
.paper-main .subcaption strong,
.paper-main .subcaption a {
  font-size: 13px;
  line-height: 1.38;
  margin-top: 3px;
  text-align: center;
}

.fig-minipage-row {
  display: flex;
  align-items: center;
  justify-content: space-between;
  gap: 16px;
}

.fig-minipage {
  text-align: center;
}

.paper-main .fig-caption,
.paper-main .fig-caption strong,
.paper-main .fig-caption a {
  font-size: 14px;
  line-height: 1.5;
  text-align: justify;
  margin-top: 6px;
}

.fig-label {
  font-weight: 700;
}

.math-display::-webkit-scrollbar,
.table-scroll::-webkit-scrollbar,
.code-listing::-webkit-scrollbar {
  height: 4px;
}

.math-display::-webkit-scrollbar-thumb,
.table-scroll::-webkit-scrollbar-thumb,
.code-listing::-webkit-scrollbar-thumb {
  background: #d4d4cf;
  border-radius: 4px;
}

@media (max-width: 640px) {
  .page-layout {
    padding: 16px 14px 56px;
  }
  body,
  .paper-main,
  .paper-main p,
  .paper-main a,
  .paper-main strong,
  .paper-main em,
  .paper-main li,
  .abstract-box p {
    font-size: 15px;
    line-height: 1.6;
  }
  .paper-nav {
    margin-bottom: 18px;
    gap: 2px 6px;
  }
  .paper-main .paper-nav,
  .paper-main .paper-nav a,
  .paper-main .paper-nav-links {
    font-size: 12px;
  }
  .paper-header {
    margin-bottom: 20px;
  }
  .paper-title {
    font-size: 24px;
    margin: 0 0 12px;
  }
  .paper-main .paper-authors,
  .paper-main .paper-authors a {
    font-size: 15px;
  }
  .paper-authors.author-blocks {
    gap: 6px 18px;
    margin-bottom: 6px;
  }
  .author-email,
  .paper-emails {
    font-size: 11.5px;
  }
  .paper-affil,
  .paper-venue {
    font-size: 13px;
  }
  .abstract-title {
    font-size: 17px;
    margin: 0 0 8px;
  }
  .abstract-box {
    margin: 0 0 24px;
  }
  .equation-row {
    padding: 4px 2px;
  }
  .math-display .katex {
    font-size: 0.94em;
  }
  .eq-num {
    margin-left: 8px;
    font-size: 13px;
  }
  .fig-legend-img {
    width: 100% !important;
  }
  .subfigure-row,
  .fig-minipage-row {
    flex-wrap: wrap;
  }
  .subfigure,
  .fig-minipage {
    flex: 0 0 100% !important;
    max-width: 100% !important;
  }
  .subcaption {
    padding-left: 0 !important;
  }
}

@media (max-width: 359px) {
  .paper-nav {
    flex-direction: column;
    align-items: center;
    gap: 2px;
  }
  .paper-nav-links {
    text-align: center;
  }
}

/* Booktabs Tables */
.table-card {
  margin: 26px 0;
  padding: 0;
  background: transparent;
  border: none;
  transition: background 0.2s;
}

.table-card:target {
  background: var(--highlight-bg);
}

.paper-main .table-caption,
.paper-main .table-caption strong,
.paper-main .table-caption a {
  font-size: 14px;
  line-height: 1.5;
  margin-top: 8px;
  text-align: justify;
}

.table-scroll {
  overflow-x: auto;
}

.booktabs-table {
  width: 100%;
  border-collapse: collapse;
  font-family: 'Lato', Verdana, Helvetica, sans-serif;
  font-size: 13.5px;
  font-variant-numeric: tabular-nums;
}

.booktabs-table th,
.booktabs-table td {
  font-size: 13.5px;
  padding: 4px 6px;
  white-space: nowrap;
}

.booktabs-table th {
  font-weight: 700;
  padding-top: 5px;
  padding-bottom: 5px;
}

.booktabs-table thead tr:last-child th {
  border-bottom: 1.2px solid var(--text);
}

.booktabs-table th.cmidrule-lr {
  position: relative;
  padding-bottom: 7px;
}

.booktabs-table th.cmidrule-lr::after {
  content: "";
  position: absolute;
  left: 6px;
  right: 6px;
  bottom: 1px;
  height: 1px;
  background: var(--text-muted);
  opacity: 0.55;
}

.booktabs-table tr.row-group-start td {
  padding-top: 10px;
}

.booktabs-table tr.row-midrule-top td {
  border-top: 1px solid var(--border);
  padding-top: 7px;
}

.align-left { text-align: left; }
.align-center { text-align: center; }
.align-right { text-align: right; }

.booktabs-table td.nopad-l,
.booktabs-table th.nopad-l {
  padding-left: 1px;
}

.booktabs-table td.nopad-r,
.booktabs-table th.nopad-r {
  padding-right: 1px;
}

.variant-eps-hdr {
  display: flex;
  justify-content: space-between;
  align-items: baseline;
  gap: 14px;
}

.eps-hdr-label {
  font-weight: 400;
  color: var(--text-muted);
}

/* Bibliography */
.bib-list {
  list-style: none;
  padding: 0;
  margin: 0;
}

.paper-main .bib-item,
.paper-main .bib-item a,
.paper-main .bib-item em {
  font-size: 14px;
  line-height: 1.52;
}

.bib-item {
  margin-bottom: 10px;
  padding: 2px 4px 2px 18px;
  text-indent: -18px;
  border-radius: 3px;
  transition: background 0.2s;
}

.bib-item:target {
  background: var(--highlight-bg);
}

.bib-tag {
  font-weight: 700;
  color: var(--text);
  margin-right: 4px;
}

.bib-title {
  font-weight: 400;
}

/* Subtle template footer */
.paper-main .paper-footer,
.paper-main .paper-footer a {
  font-size: 12.5px;
}

.paper-footer {
  margin-top: 44px;
  padding-top: 14px;
  border-top: 1px solid var(--border);
  text-align: right;
  color: var(--text-muted);
}

/* Hover preview popover */
#hover-popover {
  position: fixed;
  z-index: 250;
  max-width: 560px;
  max-height: 380px;
  overflow: auto;
  background: #ffffff;
  color: var(--text);
  border: 1px solid var(--border);
  border-radius: 6px;
  padding: 12px 16px;
  box-shadow: var(--shadow);
  font-size: 13.5px;
  line-height: 1.48;
  pointer-events: none;
  display: none;
}

#hover-popover .paper-figure,
#hover-popover .algorithm-card,
#hover-popover .table-card {
  margin: 0;
}

/* Lightbox modal */
#lightbox-overlay {
  position: fixed;
  inset: 0;
  z-index: 300;
  background: rgba(0, 0, 0, 0.82);
  display: none;
  align-items: center;
  justify-content: center;
  padding: 24px;
  cursor: zoom-out;
}

#lightbox-overlay img {
  max-width: 96vw;
  max-height: 92vh;
  background: #ffffff;
  padding: 12px;
  border-radius: 4px;
  box-shadow: 0 10px 40px rgba(0, 0, 0, 0.5);
}