*,:before,:after{box-sizing:border-box;margin:0;padding:0}:root{--color-bg:#f8fafb;--color-text:#1a1a1a;--color-text-secondary:#666;--color-text-muted:#999;--color-border:#c0c8cd;--color-surface:#fff;--color-surface-warm:#f8f9fa;--color-accent:#c0420a;--color-teal:#006d6f;--color-teal-light:#b2d8d8;--color-selector-bg:#2c3e50;--color-no-data:#d0d0d0;--color-ocean:#f0eeeb;--font-sans:"Inter", -apple-system, BlinkMacSystemFont, "Segoe UI", Roboto, sans-serif;--font-mono:"JetBrains Mono", "Fira Code", ui-monospace, monospace;--shadow-sm:0 1px 2px #0000000d;--shadow-md:0 2px 6px #00000014;--shadow-lg:0 4px 12px #0000001a;--shadow-card:0 1px 2px #0000000d;--radius:4px}html{font-size:16px}body{font-family:var(--font-sans);background:var(--color-bg);color:var(--color-text);-webkit-font-smoothing:antialiased;line-height:1.5}#root{flex-direction:column;gap:14px;max-width:1600px;margin:0 auto;padding:0;display:flex}.app-header{background:var(--color-surface);border:1px solid var(--color-border);border-radius:0 0 var(--radius) var(--radius);box-shadow:var(--shadow-card);z-index:50;border-top:none;justify-content:space-between;align-items:center;padding:12px 24px;display:flex;position:sticky;top:0}.app-header-title{letter-spacing:-.3px;color:#191c1d;font-size:22px;font-weight:400}.app-header-right{align-items:center;gap:8px;margin-left:auto;display:flex}.app-tools{gap:4px;display:flex}.app-tool-wrapper{position:relative}.app-tool-btn{width:36px;height:36px;color:var(--color-text-secondary);cursor:pointer;background:0 0;border:none;border-radius:50%;justify-content:center;align-items:center;transition:background .15s,color .15s;display:flex}.app-tool-btn:hover{background:#e8e8e8}.share-popover,.settings-popover{background:var(--color-surface);border-radius:var(--radius);z-index:100;border:1px solid var(--color-border);min-width:180px;padding:4px 0;position:absolute;top:calc(100% + 4px);right:0;box-shadow:0 2px 8px #00000026}.settings-item{cursor:pointer;-webkit-user-select:none;user-select:none;color:var(--color-text);text-align:left;background:0 0;border:none;justify-content:space-between;align-items:center;gap:8px;width:100%;padding:10px 16px;font-family:inherit;font-size:14px;transition:background .15s;display:flex}.settings-item:hover{background:#f3f3f3}.settings-item-label{flex:1}.about-overlay{z-index:1000;background:#0006;justify-content:center;align-items:center;display:flex;position:fixed;inset:0}.about-modal{background:var(--color-surface);border-radius:12px;width:calc(100% - 32px);max-width:520px;max-height:calc(100vh - 64px);overflow-y:auto;box-shadow:0 4px 24px #0003}.about-modal-header{justify-content:space-between;align-items:center;padding:20px 24px 0;display:flex}.about-modal-title{font-size:18px;font-weight:500}.about-modal-close{cursor:pointer;background:0 0;border:none;border-radius:50%;justify-content:center;align-items:center;width:32px;height:32px;font-size:20px;transition:background .15s;display:flex}.about-modal-close:hover{background:#e8e8e8}.about-modal-body{padding:16px 24px 24px}.about-lead{color:var(--color-text-secondary);margin-bottom:16px;font-size:14px;line-height:1.6}.about-section{border-top:1px solid var(--color-border);padding:16px 0}.about-section-heading{margin-bottom:8px;font-size:14px;font-weight:500}.about-section-description{color:var(--color-text-secondary);margin-bottom:8px;font-size:13px;line-height:1.6}.about-section-build{font-family:var(--font-mono);color:var(--color-text-muted);letter-spacing:.3px;font-size:10px}.about-credits{border-top:1px solid var(--color-border);color:var(--color-text-secondary);padding-top:16px;font-size:13px}.about-credits a{color:inherit;text-decoration:underline}.share-toast{color:#fff;opacity:0;pointer-events:none;z-index:2000;background:#1d1b20;border-radius:20px;padding:10px 20px;font-size:13px;font-weight:500;transition:opacity .2s,transform .2s;position:fixed;bottom:24px;left:50%;transform:translate(-50%)translateY(20px);box-shadow:0 2px 8px #00000026}.share-toast.visible{opacity:1;pointer-events:auto;transform:translate(-50%)translateY(0)}.main-content{background:var(--color-surface);border:1px solid var(--color-border);border-radius:var(--radius);box-shadow:var(--shadow-card);transition:filter .3s,opacity .3s;position:relative}.main-content.intro-active>:not(.intro-overlay){filter:blur(3px);opacity:.3;pointer-events:none;transition:filter .3s,opacity .3s}.title-bar{text-align:center;border-bottom:1px solid var(--color-border);padding:20px 24px}.title-headline{letter-spacing:-.025em;color:var(--color-text);font-size:1.65rem;font-weight:800;line-height:1.3}.headline-figure{white-space:nowrap}.headline-explainer{color:var(--color-text-muted);margin-top:8px;font-size:13px;font-weight:400;line-height:1.6}.policy-selector-wrapper{padding:20px 24px 12px}.policy-selector{border:1px solid var(--color-border);border-radius:28px;display:flex;overflow:hidden}.policy-tab{color:#444;text-transform:uppercase;letter-spacing:1.2px;cursor:pointer;background:0 0;border:none;flex:1;padding:.6rem 1rem;font-family:inherit;font-size:.82rem;font-weight:500;transition:background .15s,color .15s}.policy-tab:not(:last-child){border-right:1px solid var(--color-border)}.policy-tab.active{color:#1a1a1a;background:#c4e4ef;font-weight:600}.policy-tab:not(.active):hover{background:#f0f2f4}.map-area{background:var(--color-ocean);min-height:400px;transition:opacity .25s,visibility .25s;display:flex;position:relative}.map-container{flex:70%;min-width:0;position:relative}.map-container svg{width:100%;height:auto;display:block}.map-container path.country{stroke:#fff9;stroke-width:.5px;cursor:pointer;transition:opacity .1s}.map-container path.country:hover{opacity:.82;stroke:#fff;stroke-width:1px}.map-container path.country.no-data{cursor:default}.insights-panel{background:var(--color-surface-warm);border-left:1px solid var(--color-border);flex:0 0 280px;padding:24px;overflow-y:auto}.insights-header{border-bottom:1px solid var(--color-border);margin-bottom:16px;padding-bottom:12px}.insights-title{text-transform:uppercase;letter-spacing:1.5px;color:var(--color-text-muted);font-size:.7rem;font-weight:700}.insights-block{margin-bottom:4px}.insights-label{text-transform:uppercase;letter-spacing:1.5px;color:var(--color-text-muted);margin-bottom:4px;font-size:.68rem;font-weight:500}.insights-value{color:var(--color-text);margin-top:4px;font-size:1.15rem;font-weight:700;line-height:1.3}.insights-divider{border:none;border-top:1px solid var(--color-border);margin:16px 0}.insights-probability-value{font-size:.92rem;line-height:1.4}.insights-breakdown{font-size:.95rem;line-height:1.5}.insights-big-number{font-size:1.8rem;font-weight:800}.insights-secondary{color:var(--color-text-secondary);font-size:.82rem;font-weight:400}.insights-crosslink-body{color:var(--color-text-muted);margin-bottom:6px;font-size:13px;line-height:1.5}.insights-crosslink{color:var(--color-accent);font-size:13px;font-weight:500;text-decoration:none}.insights-crosslink:hover{text-decoration:underline}.legend-endpoints{justify-content:space-between;margin-top:.1rem;display:flex}.legend-endpoint-label{font-size:.5rem;font-style:italic}.legend-endpoint-label.legend-benefit{color:var(--color-teal)}.legend-endpoint-label.legend-cost{color:var(--color-accent)}.map-methodology-wrapper{min-height:400px;position:relative}.map-area.methodology-hidden{opacity:0;visibility:hidden;pointer-events:none;position:absolute;inset:0}.methodology-overlay{opacity:0;visibility:hidden;pointer-events:none;transition:opacity .25s,visibility .25s;position:absolute;inset:0}.methodology-overlay.methodology-visible{opacity:1;visibility:visible;pointer-events:auto;position:relative}.methodology-view{background:#fff;max-width:900px;margin:0 auto;padding:32px}.methodology-back{color:var(--color-accent);font-family:var(--font-sans);cursor:pointer;background:0 0;border:none;margin-bottom:24px;padding:0;font-size:13px;display:inline-block}.methodology-back:hover{text-decoration:underline}.methodology-title{color:var(--color-text);margin-bottom:20px;font-size:1.4rem;font-weight:700;line-height:1.3}.methodology-body{color:var(--color-text);margin-bottom:16px;font-size:15px;line-height:1.7}.methodology-bars-section{flex-direction:column;gap:32px;max-width:560px;margin:28px 0;display:flex;overflow:hidden}.methodology-bar-group-title{color:var(--color-text);margin-bottom:12px;font-size:14px;font-weight:700}.methodology-bar-row{align-items:center;gap:12px;display:flex}.methodology-bar-label{text-align:right;color:var(--color-text-muted);flex:0 0 90px;font-size:13px;font-weight:500}.methodology-bar-track{border-radius:2px;flex-shrink:0;max-width:calc(100% - 102px);height:22px;display:flex;overflow:hidden}.methodology-bar-segment{height:100%}.methodology-bar-explicit{background:#e07348}.methodology-bar-terminal{background:#e0734861}.methodology-bar-annotations{margin-top:3px;margin-bottom:12px;margin-left:102px;display:flex}.methodology-bar-annotations span{color:var(--color-text-muted);text-align:center;white-space:nowrap;font-size:11px;overflow:hidden}.methodology-table-wrap{max-width:420px;margin:24px 0}.methodology-table{border-collapse:collapse;width:100%;font-size:14px}.methodology-table th{text-align:right;color:var(--color-text-muted);text-transform:uppercase;letter-spacing:.5px;padding:0 0 8px;font-size:12px;font-weight:600}.methodology-table th:first-child{text-align:left}.methodology-table td{text-align:right;font-variant-numeric:tabular-nums;padding:4px 0}.methodology-table td:first-child{text-align:left;color:var(--color-text-secondary)}.methodology-table-breakeven td{border-top:1px solid var(--color-border);color:var(--color-accent);padding-top:8px;font-weight:700}.methodology-table-breakeven td:first-child{color:var(--color-accent)}.methodology-table-note{color:var(--color-text-muted);margin-top:8px;font-size:12px;line-height:1.5}.methodology-callout{text-align:center;color:var(--color-text-secondary);margin:8px 0 24px;font-size:14px;font-weight:600;line-height:1.6}.methodology-annex-link{color:var(--color-accent);text-decoration:none}.methodology-annex-link:hover{text-decoration:underline}.methodology-flip-link{color:var(--color-accent);font-family:var(--font-sans);font-size:inherit;cursor:pointer;background:0 0;border:none;padding:0}.methodology-flip-link:hover{text-decoration:underline}.sids-ldc-panels{z-index:5;flex-direction:column;gap:6px;display:flex;position:absolute;bottom:12px;left:16px}.group-panel{border:1px solid var(--color-border);border-radius:var(--radius);width:220px;box-shadow:var(--shadow-card);-webkit-backdrop-filter:blur(6px);backdrop-filter:blur(6px);background:#fffffff0;padding:12px 14px;font-size:.75rem;line-height:1.4;position:relative}.group-panel-header{align-items:center;gap:6px;margin-bottom:4px;display:flex}.group-panel-title{text-transform:uppercase;letter-spacing:1.5px;color:var(--color-text-muted);font-size:.65rem;font-weight:700}.group-panel-info-btn{cursor:help;color:var(--color-text-muted);opacity:.7;background:0 0;border:none;padding:0;font-size:.7rem;line-height:1}.group-panel-info-btn:hover{opacity:1;color:var(--color-text-secondary)}.group-panel-info-tooltip{width:240px;inset:-8px 0 auto auto;transform:translateY(-100%)}.group-panel-row{align-items:center;gap:.4rem;margin-bottom:.2rem;display:flex}.group-color-swatch{border:1px solid #00000014;border-radius:2px;flex-shrink:0;width:14px;height:14px}.group-cost-pct{font-weight:700;font-family:var(--font-sans);font-size:.8rem}.group-panel-detail{color:var(--color-text-secondary);font-size:.7rem}.group-panel-tooltip{background:var(--color-surface);border:1px solid var(--color-border);border-radius:var(--radius);box-shadow:var(--shadow-md);color:var(--color-text-secondary);width:260px;box-shadow:var(--shadow-md);z-index:20;padding:.65rem .85rem;font-size:.72rem;line-height:1.55;position:absolute;bottom:calc(100% + 8px);left:0}.slider-container{background:var(--color-surface);border:1px solid var(--color-border);border-radius:var(--radius);box-shadow:var(--shadow-card);z-index:10;padding:24px;position:relative}.slider-header-line{flex-wrap:wrap;align-items:baseline;gap:1em;margin-bottom:.35rem;display:flex}.slider-title{text-transform:uppercase;letter-spacing:.08em;color:var(--color-text-muted);flex-shrink:0;font-size:.72rem;font-weight:700}.slider-definition{color:var(--color-text-secondary);font-size:.78rem}.slider-track-wrapper{padding-top:2.5rem;padding-bottom:4.5rem;position:relative}.slider-floating-value{color:var(--color-accent);font-size:1.1rem;font-weight:700;font-family:var(--font-sans);white-space:nowrap;pointer-events:none;z-index:3;position:absolute;top:0;transform:translate(-50%)}.slider-track-wrapper input[type=range]{appearance:none;z-index:2;background:linear-gradient(90deg,#e8e4de,#d4cfc6);border-radius:4px;outline:none;width:100%;height:8px;position:relative}.slider-track-wrapper input[type=range]::-webkit-slider-thumb{appearance:none;background:var(--color-accent);cursor:pointer;width:24px;height:24px;box-shadow:var(--shadow-md);border:3px solid #fff;border-radius:50%}.slider-track-wrapper input[type=range]::-moz-range-thumb{background:var(--color-accent);cursor:pointer;width:24px;height:24px;box-shadow:var(--shadow-md);border:3px solid #fff;border-radius:50%}.slider-thumb-wiggle{background:var(--color-accent);width:24px;height:24px;box-shadow:var(--shadow-md);pointer-events:none;z-index:3;border:3px solid #fff;border-radius:50%;animation:2.5s ease-in-out 1s infinite thumb-wiggle;position:absolute;top:calc(2.5rem + 14px);transform:translate(-50%,-50%)}@keyframes thumb-wiggle{0%,30%,to{margin-left:0}5%{margin-left:-4px}10%{margin-left:4px}15%{margin-left:-2px}20%{margin-left:2px}25%{margin-left:0}}.ref-markers-below{pointer-events:none;height:4rem;position:absolute;bottom:0;left:0;right:0}.ref-marker-below{text-align:center;pointer-events:auto;cursor:pointer;flex-direction:column;align-items:center;display:flex;position:absolute;transform:translate(-50%)}.ref-marker-below:first-child .marker-label,.ref-marker-below:first-child .marker-value{transform:translate(-60%)}.ref-marker-below:nth-child(2) .marker-label,.ref-marker-below:nth-child(2) .marker-value{transform:translate(60%)}.ref-marker-below .marker-tick{background:#c0bdb6;border-radius:1px;width:2px;height:10px}.ref-marker-below .marker-tick.active{background:var(--color-accent);border-radius:50%;width:6px;height:6px;margin-bottom:2px}.ref-marker-below .marker-label{color:var(--color-text-secondary);white-space:nowrap;margin-top:2px;font-size:.68rem;font-weight:600;line-height:1.3}.ref-marker-below .marker-value{color:var(--color-text-muted);white-space:nowrap;font-size:.62rem;font-family:var(--font-sans)}.ref-marker-below.is-active .marker-label{color:var(--color-accent);font-weight:800}.ref-marker-below.is-active .marker-value{color:var(--color-accent)}.ref-marker-below:hover .marker-label{color:var(--color-text)}.marker-tooltip{background:var(--color-surface);border:1px solid var(--color-border);border-radius:var(--radius);color:var(--color-text-secondary);width:220px;box-shadow:var(--shadow-md);z-index:100;pointer-events:none;text-align:left;padding:.5rem .7rem;font-size:.7rem;line-height:1.5;position:absolute;top:calc(100% + 4px);left:50%;transform:translate(-50%)}.intro-overlay{z-index:45;width:75%;margin-top:-8px;animation:.5s ease-out .3s both callout-entrance;position:absolute;top:0;left:50%;transform:translate(-50%)}.intro-overlay:before{content:"";filter:drop-shadow(0 -1px 1px #0000000f);z-index:1;border-bottom:12px solid #fff;border-left:14px solid #0000;border-right:14px solid #0000;position:absolute;top:-11px;left:50%;transform:translate(-50%)}@keyframes callout-entrance{0%{opacity:0;transform:translate(-50%)translateY(40px)}60%{opacity:1;transform:translate(-50%)translateY(-4px)}80%{transform:translate(-50%)translateY(2px)}to{opacity:1;transform:translate(-50%)translateY(0)}}.intro-overlay.dismissing{animation:.2s ease-in forwards callout-exit}@keyframes callout-exit{to{opacity:0;transform:translate(-50%)translateY(10px)}}.intro-overlay-card{text-align:center;background:var(--color-surface);border:1px solid var(--color-border);border-radius:var(--radius);padding:24px;box-shadow:0 4px 16px #0000002e,0 1px 3px #00000014}.intro-overlay-heading{letter-spacing:-.025em;color:var(--color-text);margin-bottom:1rem;font-size:1.65rem;font-weight:800;line-height:1.3}.intro-overlay-body{color:var(--color-text-secondary);margin-bottom:.75rem;font-size:.92rem;line-height:1.7}.intro-overlay-body:last-child{margin-bottom:0}.intro-overlay-cta{color:var(--color-text);letter-spacing:-.01em;margin-top:1rem;font-size:1rem;font-weight:700;line-height:1.5}.damage-toggle-container{border-top:1px solid var(--color-border);flex-wrap:wrap;justify-content:center;align-items:center;gap:.5rem;padding:6px 24px;display:flex}.damage-toggle-label{color:var(--color-text-muted);white-space:nowrap;font-size:.68rem;font-weight:500}.damage-toggle{border:1px solid var(--color-border);border-radius:var(--radius);background:var(--color-surface);display:flex;overflow:hidden}.toggle-option{cursor:pointer;color:var(--color-text-secondary);white-space:nowrap;background:0 0;border:none;padding:.2rem .65rem;font-family:inherit;font-size:.68rem;font-weight:500;transition:background .15s,color .15s}.toggle-option:not(:last-child){border-right:1px solid var(--color-border)}.toggle-option.active{background:var(--color-accent);color:#fff;font-weight:700}.toggle-option:not(.active):hover{background:var(--color-surface-warm);color:var(--color-text)}.toggle-info-wrapper{align-items:center;display:flex;position:relative}.toggle-info-btn{border:1.5px solid var(--color-border);background:var(--color-surface);width:18px;height:18px;color:var(--color-text-muted);cursor:help;border-radius:50%;justify-content:center;align-items:center;font-family:inherit;font-size:.65rem;font-weight:700;line-height:1;display:flex}.toggle-info-btn:hover{border-color:var(--color-accent);color:var(--color-accent)}.toggle-info-tooltip{background:var(--color-surface);border:1px solid var(--color-border);border-radius:var(--radius);color:var(--color-text-secondary);width:300px;box-shadow:var(--shadow-md);z-index:50;pointer-events:none;padding:.75rem 1rem;font-size:.75rem;line-height:1.55;position:absolute;bottom:calc(100% + 8px);left:50%;transform:translate(-50%)}.toggle-info-tooltip p{margin-bottom:.6rem}.toggle-info-tooltip p:last-child{margin-bottom:0}.legend-overlay{border:1px solid var(--color-border);border-radius:var(--radius);width:220px;box-shadow:var(--shadow-card);-webkit-backdrop-filter:blur(6px);backdrop-filter:blur(6px);z-index:5;background:#fffffff0;padding:12px 14px;position:absolute;bottom:12px;right:16px}.legend-title{color:var(--color-text-secondary);margin-bottom:.25rem;font-size:.55rem;font-weight:600;line-height:1.3}.legend-bar{width:100%;height:10px;margin-bottom:2px}.legend-no-data{color:var(--color-text-muted);align-items:center;gap:4px;margin-top:6px;font-size:.5rem;display:flex}.legend-no-data-swatch{flex-shrink:0;width:10px;height:10px}.legend-ticks{justify-content:space-between;margin-top:.15rem;display:flex}.legend-tick{color:var(--color-text-muted);font-size:.5rem}.map-tooltip{background:var(--color-surface);border:1px solid var(--color-border);border-radius:var(--radius);pointer-events:none;z-index:100;box-shadow:var(--shadow-lg);max-width:280px;padding:.75rem 1rem;font-size:.8rem;line-height:1.5;position:fixed}.tooltip-country{margin-bottom:.35rem;font-size:.9rem;font-weight:700}.tooltip-cost-pct{font-size:1.2rem;font-weight:700;font-family:var(--font-sans);color:var(--color-text);align-items:center;gap:.4rem;display:flex}.tooltip-color-swatch{border:1px solid #00000014;border-radius:2px;flex-shrink:0;width:12px;height:12px;display:inline-block}.tooltip-cost-abs{color:var(--color-text-secondary);margin-top:.1rem;font-size:.8rem}.tooltip-no-data{color:var(--color-text-secondary);font-size:.8rem;font-style:italic}.tooltip-divider{border:none;border-top:1px solid var(--color-border);margin:.4rem 0}.tooltip-damage-share{font-size:.75rem}.tooltip-damage-share .tooltip-label{color:var(--color-text-secondary)}.tooltip-damage-share .tooltip-value{font-weight:600;font-family:var(--font-sans)}.tooltip-header-row{justify-content:space-between;align-items:flex-start;gap:.5rem;display:flex}.tooltip-breakdown{border-top:1px solid var(--color-border);margin-top:.4rem;padding-top:.4rem}.tooltip-breakdown-row{justify-content:space-between;gap:.75rem;font-size:.72rem;line-height:1.6;display:flex}.tooltip-breakdown-row .tooltip-label{color:var(--color-text-secondary)}.tooltip-breakdown-row .tooltip-value{font-weight:600;font-family:var(--font-sans);text-align:right;white-space:nowrap}.tooltip-compare-section{border-top:1px solid var(--color-border);margin-top:.4rem;padding-top:.4rem}.tooltip-compare-row{align-items:baseline;gap:.5rem;font-size:.74rem;line-height:1.7;display:flex}.tooltip-compare-label{color:var(--color-text-secondary);flex-shrink:0;min-width:100px}.tooltip-compare-pct{font-weight:600;font-family:var(--font-sans);text-align:right;min-width:48px}.tooltip-compare-abs{color:var(--color-text-secondary);font-family:var(--font-sans);white-space:nowrap;font-size:.7rem}.tooltip-breakdown-indented{border-top:none;margin-top:0;padding-top:0;padding-left:16px}.tooltip-breakeven{border-top:1px solid var(--color-border);margin-top:.4rem;padding-top:.4rem;font-size:.72rem}.tooltip-breakeven .tooltip-label{color:var(--color-text-secondary)}.tooltip-breakeven .tooltip-value{font-weight:600}.tooltip-breakeven-note{color:var(--color-text-muted);margin-top:.15rem;font-size:.65rem;font-style:italic}.tooltip-badges{gap:.35rem;margin-top:.4rem;display:flex}.tooltip-badge{color:#bf360c;background:#fff3e0;border:1px solid #ffe0b2;border-radius:10px;padding:.1rem .45rem;font-size:.62rem;font-weight:600;display:inline-block}.methodology-page{background:var(--color-bg);min-height:100vh}.methodology-page .app-header{max-width:960px;margin:0 auto}.methodology-page-content{max-width:960px;margin:16px auto;padding:0 16px}.methodology-page-card{background:var(--color-surface);border:1px solid var(--color-border);border-radius:var(--radius);box-shadow:var(--shadow-card);box-sizing:border-box;width:100%;padding:48px 56px}@media (width<=768px){.methodology-page-card{padding:32px 24px}}.methodology-page-title-block{border-bottom:1px solid var(--color-border);margin-bottom:32px;padding-bottom:24px}.methodology-page-title-row{justify-content:space-between;align-items:baseline;gap:16px;display:flex}.methodology-page-title-row h1{margin:0;font-size:28px;font-weight:600}.methodology-page-pdf-link{color:var(--color-accent);white-space:nowrap;font-size:13px;text-decoration:none}.methodology-page-pdf-link:hover{text-decoration:underline}.methodology-page-meta{color:var(--color-text-muted);margin-top:4px;font-size:13px}.methodology-page-intro{color:var(--color-text-secondary);margin-bottom:24px;font-size:15px;line-height:1.7}.methodology-page-intro a{color:var(--color-accent);text-decoration:none}.methodology-page-intro a:hover{text-decoration:underline}.methodology-page-toc{background:var(--color-surface-warm);border:1px solid var(--color-border);border-radius:var(--radius);margin-bottom:32px;padding:20px 24px}.methodology-page-toc-label{letter-spacing:1.5px;text-transform:uppercase;color:var(--color-text-muted);margin-bottom:12px;font-size:11px;font-weight:600}.methodology-page-toc ul{margin:0;padding:0;list-style:none}.methodology-page-toc ul ul{padding-left:20px}.methodology-page-toc li{margin-bottom:3px}.methodology-page-toc a{color:var(--color-text-secondary);font-size:14px;line-height:1.6;text-decoration:none}.methodology-page-toc a:hover{color:var(--color-accent)}.methodology-page-toc>ul>li>a{color:var(--color-text);font-weight:500}.methodology-page-body h2{border-top:1px solid var(--color-border);margin:48px 0 16px;padding-top:24px;font-size:22px;font-weight:600}.methodology-page-body h2:first-of-type{border-top:none;margin-top:0;padding-top:0}.methodology-page-body h3{margin:32px 0 12px;font-size:17px;font-weight:600}.methodology-page-body p{margin-bottom:16px;line-height:1.7}.methodology-page-body ul,.methodology-page-body ol{margin-bottom:16px;padding-left:24px}.methodology-page-body li{margin-bottom:6px;line-height:1.7}.methodology-page-body a{color:var(--color-accent);text-decoration:none}.methodology-page-body a:hover{text-decoration:underline}.methodology-page-body code{background:var(--color-surface-warm);border-radius:3px;padding:2px 5px;font-size:.9em}.methodology-page-body strong{font-weight:600}.methodology-page-table-wrapper{margin:16px 0 24px;overflow-x:auto}.methodology-page-body table{border-collapse:collapse;width:100%;font-size:14px}.methodology-page-body th{text-align:left;border-bottom:2px solid var(--color-border);background:var(--color-surface-warm);padding:10px 12px;font-size:13px;font-weight:600}.methodology-page-body td{border-bottom:1px solid var(--color-border);vertical-align:top;padding:8px 12px}.methodology-page-body tr:last-child td{border-bottom:none}.methodology-page-body hr{border:none;height:0;margin:0}.methodology-page-body blockquote{border-left:3px solid var(--color-border);color:var(--color-text-secondary);margin:16px 0;padding-left:16px}.methodology-page-body mjx-container{max-width:100%;overflow-x:auto}.footer{text-align:center;color:var(--color-text-muted);padding:16px 0 24px;font-size:11px;line-height:1.8}.footer-build{opacity:.6;letter-spacing:.3px;margin-top:4px;font-family:monospace;font-size:10px}.bottom-sheet-overlay{z-index:200;background:#0000004d;position:fixed;inset:0}.bottom-sheet{z-index:201;background:#fff;border-radius:12px 12px 0 0;max-height:50vh;padding:1.25rem;position:fixed;bottom:0;left:0;right:0;overflow-y:auto;box-shadow:0 -4px 20px #00000026}.bottom-sheet .sheet-handle{background:#ccc;border-radius:2px;width:40px;height:4px;margin:0 auto 1rem}.loading-screen{min-height:60vh;color:var(--color-text-secondary);justify-content:center;align-items:center;font-size:1rem;display:flex}.error-screen{color:#c0392b;justify-content:center;align-items:center;min-height:60vh;font-size:1rem;display:flex}@media (width<=600px){.app-tools{gap:2px}.app-tool-btn{width:32px;height:32px}.app-tool-btn svg{width:16px;height:16px}}@media (width<=1023px){.insights-panel{flex:0 0 240px}.policy-selector-wrapper{padding:.5rem 1rem .4rem}}@media (width<=767px){.policy-selector-wrapper{padding:.5rem .75rem .35rem}.policy-tab{letter-spacing:.8px;padding:6px 2px;font-size:11px}.policy-subtitle{font-size:.68rem}.title-bar{padding:1.25rem 1rem 1rem}.title-headline{font-size:1.15rem}.map-area{flex-direction:column}.map-container{flex:none}.insights-panel{border-left:none;border-top:1px solid var(--color-border);flex:none;padding:1rem}.sids-ldc-panels{flex-direction:row;gap:8px;padding:8px 12px;position:static}.group-panel{flex:1;width:auto;min-width:0}.app-header{padding:8px 16px}.app-header-title{font-size:18px}.slider-container{padding:.75rem 1rem}.intro-overlay{width:90%}.intro-overlay-card{padding:20px 16px}.intro-overlay-heading{font-size:1.15rem}.legend-overlay{-webkit-backdrop-filter:none;backdrop-filter:none;background:var(--color-surface);width:100%;margin:.5rem;position:static}.ref-marker.hide-mobile{display:none}.methodology-view{padding:20px 16px}.methodology-bars-section{max-width:100%}.methodology-bar-label{flex:0 0 72px;font-size:12px}.methodology-bar-track{max-width:calc(100% - 84px)}.methodology-bar-annotations{margin-left:84px}.methodology-table-wrap{max-width:100%}}@font-face{font-display:block;font-family:KaTeX_AMS;font-style:normal;font-weight:400;src:url(/sda/assets/KaTeX_AMS-Regular-BQhdFMY1.woff2)format("woff2"),url(/sda/assets/KaTeX_AMS-Regular-DMm9YOAa.woff)format("woff"),url(/sda/assets/KaTeX_AMS-Regular-DRggAlZN.ttf)format("truetype")}@font-face{font-display:block;font-family:KaTeX_Caligraphic;font-style:normal;font-weight:700;src:url(/sda/assets/KaTeX_Caligraphic-Bold-Dq_IR9rO.woff2)format("woff2"),url(/sda/assets/KaTeX_Caligraphic-Bold-BEiXGLvX.woff)format("woff"),url(/sda/assets/KaTeX_Caligraphic-Bold-ATXxdsX0.ttf)format("truetype")}@font-face{font-display:block;font-family:KaTeX_Caligraphic;font-style:normal;font-weight:400;src:url(/sda/assets/KaTeX_Caligraphic-Regular-Di6jR-x-.woff2)format("woff2"),url(/sda/assets/KaTeX_Caligraphic-Regular-CTRA-rTL.woff)format("woff"),url(/sda/assets/KaTeX_Caligraphic-Regular-wX97UBjC.ttf)format("truetype")}@font-face{font-display:block;font-family:KaTeX_Fraktur;font-style:normal;font-weight:700;src:url(/sda/assets/KaTeX_Fraktur-Bold-CL6g_b3V.woff2)format("woff2"),url(/sda/assets/KaTeX_Fraktur-Bold-BsDP51OF.woff)format("woff"),url(/sda/assets/KaTeX_Fraktur-Bold-BdnERNNW.ttf)format("truetype")}@font-face{font-display:block;font-family:KaTeX_Fraktur;font-style:normal;font-weight:400;src:url(/sda/assets/KaTeX_Fraktur-Regular-CTYiF6lA.woff2)format("woff2"),url(/sda/assets/KaTeX_Fraktur-Regular-Dxdc4cR9.woff)format("woff"),url(/sda/assets/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(/sda/assets/KaTeX_Main-Bold-Cx986IdX.woff2)format("woff2"),url(/sda/assets/KaTeX_Main-Bold-Jm3AIy58.woff)format("woff"),url(/sda/assets/KaTeX_Main-Bold-waoOVXN0.ttf)format("truetype")}@font-face{font-display:block;font-family:KaTeX_Main;font-style:italic;font-weight:700;src:url(/sda/assets/KaTeX_Main-BoldItalic-DxDJ3AOS.woff2)format("woff2"),url(/sda/assets/KaTeX_Main-BoldItalic-SpSLRI95.woff)format("woff"),url(/sda/assets/KaTeX_Main-BoldItalic-DzxPMmG6.ttf)format("truetype")}@font-face{font-display:block;font-family:KaTeX_Main;font-style:italic;font-weight:400;src:url(/sda/assets/KaTeX_Main-Italic-NWA7e6Wa.woff2)format("woff2"),url(/sda/assets/KaTeX_Main-Italic-BMLOBm91.woff)format("woff"),url(/sda/assets/KaTeX_Main-Italic-3WenGoN9.ttf)format("truetype")}@font-face{font-display:block;font-family:KaTeX_Main;font-style:normal;font-weight:400;src:url(/sda/assets/KaTeX_Main-Regular-B22Nviop.woff2)format("woff2"),url(/sda/assets/KaTeX_Main-Regular-Dr94JaBh.woff)format("woff"),url(/sda/assets/KaTeX_Main-Regular-ypZvNtVU.ttf)format("truetype")}@font-face{font-display:block;font-family:KaTeX_Math;font-style:italic;font-weight:700;src:url(/sda/assets/KaTeX_Math-BoldItalic-CZnvNsCZ.woff2)format("woff2"),url(/sda/assets/KaTeX_Math-BoldItalic-iY-2wyZ7.woff)format("woff"),url(/sda/assets/KaTeX_Math-BoldItalic-B3XSjfu4.ttf)format("truetype")}@font-face{font-display:block;font-family:KaTeX_Math;font-style:italic;font-weight:400;src:url(/sda/assets/KaTeX_Math-Italic-t53AETM-.woff2)format("woff2"),url(/sda/assets/KaTeX_Math-Italic-DA0__PXp.woff)format("woff"),url(/sda/assets/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(/sda/assets/KaTeX_SansSerif-Bold-D1sUS0GD.woff2)format("woff2"),url(/sda/assets/KaTeX_SansSerif-Bold-DbIhKOiC.woff)format("woff"),url(/sda/assets/KaTeX_SansSerif-Bold-CFMepnvq.ttf)format("truetype")}@font-face{font-display:block;font-family:KaTeX_SansSerif;font-style:italic;font-weight:400;src:url(/sda/assets/KaTeX_SansSerif-Italic-C3H0VqGB.woff2)format("woff2"),url(/sda/assets/KaTeX_SansSerif-Italic-DN2j7dab.woff)format("woff"),url(/sda/assets/KaTeX_SansSerif-Italic-YYjJ1zSn.ttf)format("truetype")}@font-face{font-display:block;font-family:KaTeX_SansSerif;font-style:normal;font-weight:400;src:url(/sda/assets/KaTeX_SansSerif-Regular-DDBCnlJ7.woff2)format("woff2"),url(/sda/assets/KaTeX_SansSerif-Regular-CS6fqUqJ.woff)format("woff"),url(/sda/assets/KaTeX_SansSerif-Regular-BNo7hRIc.ttf)format("truetype")}@font-face{font-display:block;font-family:KaTeX_Script;font-style:normal;font-weight:400;src:url(/sda/assets/KaTeX_Script-Regular-D3wIWfF6.woff2)format("woff2"),url(/sda/assets/KaTeX_Script-Regular-D5yQViql.woff)format("woff"),url(/sda/assets/KaTeX_Script-Regular-C5JkGWo-.ttf)format("truetype")}@font-face{font-display:block;font-family:KaTeX_Size1;font-style:normal;font-weight:400;src:url(/sda/assets/KaTeX_Size1-Regular-mCD8mA8B.woff2)format("woff2"),url(/sda/assets/KaTeX_Size1-Regular-C195tn64.woff)format("woff"),url(/sda/assets/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(/sda/assets/KaTeX_Size2-Regular-Dy4dx90m.woff2)format("woff2"),url(/sda/assets/KaTeX_Size2-Regular-oD1tc_U0.woff)format("woff"),url(/sda/assets/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(/sda/assets/KaTeX_Size3-Regular-CTq5MqoE.woff)format("woff"),url(/sda/assets/KaTeX_Size3-Regular-DgpXs0kz.ttf)format("truetype")}@font-face{font-display:block;font-family:KaTeX_Size4;font-style:normal;font-weight:400;src:url(/sda/assets/KaTeX_Size4-Regular-Dl5lxZxV.woff2)format("woff2"),url(/sda/assets/KaTeX_Size4-Regular-BF-4gkZK.woff)format("woff"),url(/sda/assets/KaTeX_Size4-Regular-DWFBv043.ttf)format("truetype")}@font-face{font-display:block;font-family:KaTeX_Typewriter;font-style:normal;font-weight:400;src:url(/sda/assets/KaTeX_Typewriter-Regular-CO6r4hn1.woff2)format("woff2"),url(/sda/assets/KaTeX_Typewriter-Regular-C0xS9mPB.woff)format("woff"),url(/sda/assets/KaTeX_Typewriter-Regular-D3Ib7_Hf.ttf)format("truetype")}.katex{text-indent:0;text-rendering:auto;font:1.21em/1.2 KaTeX_Main,Times New Roman,serif;position:relative}.katex *{border-color:currentColor;-ms-high-contrast-adjust:none!important}.katex .katex-version:after{content:"0.16.45"}.katex .katex-mathml{clip:rect(1px,1px,1px,1px);border:0;width:1px;height:1px;padding:0;position:absolute;overflow:hidden}.katex .katex-html>.newline{display:block}.katex .base{white-space:nowrap;width:min-content;position:relative}.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;table-layout:fixed;display:inline-table}.katex .vlist-r{display:table-row}.katex .vlist{vertical-align:bottom;display:table-cell;position:relative}.katex .vlist>span{height:0;display:block;position:relative}.katex .vlist>span>span{display:inline-block}.katex .vlist>span>.pstrut{width:0;overflow:hidden}.katex .vlist-t2{margin-right:-2px}.katex .vlist-s{vertical-align:bottom;width:2px;min-width:2px;font-size:1px;display:table-cell}.katex .vbox{flex-direction:column;align-items:baseline;display:inline-flex}.katex .hbox{width:100%}.katex .hbox,.katex .thinbox{flex-direction:row;display:inline-flex}.katex .thinbox{width:0;max-width:0}.katex .msupsub{text-align:left}.katex .mfrac>span>span{text-align:center}.katex .mfrac .frac-line{border-bottom-style:solid;width:100%;display:inline-block}.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{line-height:0;display:inline}.katex .clap,.katex .llap,.katex .rlap{width:0;position:relative}.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;width:100%;display:inline-block}.katex .hdashline{border-bottom-style:dashed;width:100%;display:inline-block}.katex .sqrt>.root{margin-left:.277778em;margin-right:-.555556em}.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:.833333em}.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:1.16667em}.katex .fontsize-ensurer.reset-size2.size4,.katex .sizing.reset-size2.size4{font-size:1.33333em}.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:1.66667em}.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:3.45667em}.katex .fontsize-ensurer.reset-size2.size11,.katex .sizing.reset-size2.size11{font-size:4.14667em}.katex .fontsize-ensurer.reset-size3.size1,.katex .sizing.reset-size3.size1{font-size:.714286em}.katex .fontsize-ensurer.reset-size3.size2,.katex .sizing.reset-size3.size2{font-size:.857143em}.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:1.14286em}.katex .fontsize-ensurer.reset-size3.size5,.katex .sizing.reset-size3.size5{font-size:1.28571em}.katex .fontsize-ensurer.reset-size3.size6,.katex .sizing.reset-size3.size6{font-size:1.42857em}.katex .fontsize-ensurer.reset-size3.size7,.katex .sizing.reset-size3.size7{font-size:1.71429em}.katex .fontsize-ensurer.reset-size3.size8,.katex .sizing.reset-size3.size8{font-size:2.05714em}.katex .fontsize-ensurer.reset-size3.size9,.katex .sizing.reset-size3.size9{font-size:2.46857em}.katex .fontsize-ensurer.reset-size3.size10,.katex .sizing.reset-size3.size10{font-size:2.96286em}.katex .fontsize-ensurer.reset-size3.size11,.katex .sizing.reset-size3.size11{font-size:3.55429em}.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:.555556em}.katex .fontsize-ensurer.reset-size5.size2,.katex .sizing.reset-size5.size2{font-size:.666667em}.katex .fontsize-ensurer.reset-size5.size3,.katex .sizing.reset-size5.size3{font-size:.777778em}.katex .fontsize-ensurer.reset-size5.size4,.katex .sizing.reset-size5.size4{font-size:.888889em}.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:1.11111em}.katex .fontsize-ensurer.reset-size5.size7,.katex .sizing.reset-size5.size7{font-size:1.33333em}.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:2.30444em}.katex .fontsize-ensurer.reset-size5.size11,.katex .sizing.reset-size5.size11{font-size:2.76444em}.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:.416667em}.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:.583333em}.katex .fontsize-ensurer.reset-size7.size4,.katex .sizing.reset-size7.size4{font-size:.666667em}.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:.833333em}.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:1.72833em}.katex .fontsize-ensurer.reset-size7.size11,.katex .sizing.reset-size7.size11{font-size:2.07333em}.katex .fontsize-ensurer.reset-size8.size1,.katex .sizing.reset-size8.size1{font-size:.347222em}.katex .fontsize-ensurer.reset-size8.size2,.katex .sizing.reset-size8.size2{font-size:.416667em}.katex .fontsize-ensurer.reset-size8.size3,.katex .sizing.reset-size8.size3{font-size:.486111em}.katex .fontsize-ensurer.reset-size8.size4,.katex .sizing.reset-size8.size4{font-size:.555556em}.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:.694444em}.katex .fontsize-ensurer.reset-size8.size7,.katex .sizing.reset-size8.size7{font-size:.833333em}.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:1.44028em}.katex .fontsize-ensurer.reset-size8.size11,.katex .sizing.reset-size8.size11{font-size:1.72778em}.katex .fontsize-ensurer.reset-size9.size1,.katex .sizing.reset-size9.size1{font-size:.289352em}.katex .fontsize-ensurer.reset-size9.size2,.katex .sizing.reset-size9.size2{font-size:.347222em}.katex .fontsize-ensurer.reset-size9.size3,.katex .sizing.reset-size9.size3{font-size:.405093em}.katex .fontsize-ensurer.reset-size9.size4,.katex .sizing.reset-size9.size4{font-size:.462963em}.katex .fontsize-ensurer.reset-size9.size5,.katex .sizing.reset-size9.size5{font-size:.520833em}.katex .fontsize-ensurer.reset-size9.size6,.katex .sizing.reset-size9.size6{font-size:.578704em}.katex .fontsize-ensurer.reset-size9.size7,.katex .sizing.reset-size9.size7{font-size:.694444em}.katex .fontsize-ensurer.reset-size9.size8,.katex .sizing.reset-size9.size8{font-size:.833333em}.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:1.20023em}.katex .fontsize-ensurer.reset-size9.size11,.katex .sizing.reset-size9.size11{font-size:1.43981em}.katex .fontsize-ensurer.reset-size10.size1,.katex .sizing.reset-size10.size1{font-size:.24108em}.katex .fontsize-ensurer.reset-size10.size2,.katex .sizing.reset-size10.size2{font-size:.289296em}.katex .fontsize-ensurer.reset-size10.size3,.katex .sizing.reset-size10.size3{font-size:.337512em}.katex .fontsize-ensurer.reset-size10.size4,.katex .sizing.reset-size10.size4{font-size:.385728em}.katex .fontsize-ensurer.reset-size10.size5,.katex .sizing.reset-size10.size5{font-size:.433944em}.katex .fontsize-ensurer.reset-size10.size6,.katex .sizing.reset-size10.size6{font-size:.48216em}.katex .fontsize-ensurer.reset-size10.size7,.katex .sizing.reset-size10.size7{font-size:.578592em}.katex .fontsize-ensurer.reset-size10.size8,.katex .sizing.reset-size10.size8{font-size:.694311em}.katex .fontsize-ensurer.reset-size10.size9,.katex .sizing.reset-size10.size9{font-size:.833173em}.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:1.19961em}.katex .fontsize-ensurer.reset-size11.size1,.katex .sizing.reset-size11.size1{font-size:.200965em}.katex .fontsize-ensurer.reset-size11.size2,.katex .sizing.reset-size11.size2{font-size:.241158em}.katex .fontsize-ensurer.reset-size11.size3,.katex .sizing.reset-size11.size3{font-size:.281351em}.katex .fontsize-ensurer.reset-size11.size4,.katex .sizing.reset-size11.size4{font-size:.321543em}.katex .fontsize-ensurer.reset-size11.size5,.katex .sizing.reset-size11.size5{font-size:.361736em}.katex .fontsize-ensurer.reset-size11.size6,.katex .sizing.reset-size11.size6{font-size:.401929em}.katex .fontsize-ensurer.reset-size11.size7,.katex .sizing.reset-size11.size7{font-size:.482315em}.katex .fontsize-ensurer.reset-size11.size8,.katex .sizing.reset-size11.size8{font-size:.578778em}.katex .fontsize-ensurer.reset-size11.size9,.katex .sizing.reset-size11.size9{font-size:.694534em}.katex .fontsize-ensurer.reset-size11.size10,.katex .sizing.reset-size11.size10{font-size:.833601em}.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{width:.12em;display:inline-block}.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{min-width:1px;display:inline-block}.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;height:inherit;width:100%;display:block;position:absolute}.katex svg path{stroke:none}.katex svg{fill-rule:nonzero;fill-opacity:1;stroke-width:1px;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:4;stroke-dasharray:none;stroke-dashoffset:0;stroke-opacity:1}.katex img{border-style:none;min-width:0;max-width:none;min-height:0;max-height:none}.katex .stretchy{width:100%;display:block;position:relative;overflow:hidden}.katex .stretchy:after,.katex .stretchy:before{content:""}.katex .hide-tail{width:100%;position:relative;overflow:hidden}.katex .halfarrow-left{width:50.2%;position:absolute;left:0;overflow:hidden}.katex .halfarrow-right{width:50.2%;position:absolute;right:0;overflow:hidden}.katex .brace-left{width:25.1%;position:absolute;left:0;overflow:hidden}.katex .brace-center{width:50%;position:absolute;left:25%;overflow:hidden}.katex .brace-right{width:25.1%;position:absolute;right:0;overflow:hidden}.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{box-sizing:border-box;border:.04em solid}.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{box-sizing:border-box;border-top:.049em solid;border-right:.049em solid;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{text-align:left;display:inline-block;position:absolute;right:calc(50% + .3em)}.katex .cd-label-right{text-align:right;display:inline-block;position:absolute;left:calc(50% + .3em)}.katex-display{text-align:center;margin:1em 0;display:block}.katex-display>.katex{text-align:center;white-space:nowrap;display:block}.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{text-align:left;padding-left:2em}body{counter-reset:katexEqnNo mmlEqnNo}