:root{--bg: #eef0ea;--sidebar: #e4e8df;--panel: #fafbf7;--surface: #ffffff;--border: #d3dace;--text: #1d2620;--muted: #56615a;--soft: #3e4a42;--accent: #2e6b4f;--accent-strong: #1f4d38;--accent-tint: #e2ede5;--ok: #2e8b57;--warn: #b4471f;--paper: #fffefa;--rule: #dce5ec;--margin-rule: #efc7bf;--font-ui: "Figtree", system-ui, -apple-system, "Segoe UI", sans-serif;--font-display: "Bricolage Grotesque", "Figtree", system-ui, sans-serif}*{box-sizing:border-box}html,body{margin:0;height:100%;background:var(--bg);color:var(--text);font-family:var(--font-ui);font-size:14px}body{display:flex;flex-direction:column}button{font:inherit;padding:9px 12px;line-height:20px;border:1px solid var(--border);border-radius:10px;background:var(--panel);color:var(--soft);font-weight:500;cursor:pointer}button:hover{background:var(--surface);color:var(--text)}button:focus-visible{outline:2px solid var(--accent);outline-offset:2px}button:disabled{opacity:.5;cursor:default}button.primary{background:var(--accent);border-color:var(--accent);color:#fff;font-weight:600}button.primary:hover{background:var(--accent-strong);border-color:var(--accent-strong);color:#fff}button.active{background:var(--accent-tint);border-color:var(--accent);color:var(--accent-strong);font-weight:600}.btn{display:inline-flex;align-items:center;justify-content:center;gap:6px}.btn svg{width:16px;height:16px;flex:none}.icon-only{width:40px;padding-left:0;padding-right:0}.icon-only svg{width:17px;height:17px}.head-button{padding:4px 12px;line-height:20px;border-radius:999px;background:var(--surface);color:var(--soft);font-size:13px}.head-button.confirming{border-color:var(--warn);color:var(--warn);font-weight:600}.icon-button{display:inline-flex;align-items:center;justify-content:center;width:30px;height:30px;padding:0;border:none;border-radius:8px;background:transparent;color:var(--muted)}.icon-button[hidden]{display:none}.icon-button svg{width:15px;height:15px}.icon-button:hover{background:#fff9;color:var(--text)}.workspace{flex:1;min-height:0;display:grid;grid-template-columns:264px minmax(0,1fr) 320px}body.notes-hidden .workspace{grid-template-columns:264px minmax(0,1fr)}body.notes-hidden .notes{display:none}.sidebar{display:flex;flex-direction:column;gap:22px;min-height:0;padding:20px 14px;background:var(--sidebar);border-right:1px solid var(--border)}.brand{display:flex;align-items:center;gap:10px;padding:0 6px;font-family:var(--font-display);font-weight:700;font-size:20px;letter-spacing:-.02em}.brand-mark{display:grid;place-items:center;width:32px;height:32px;border-radius:10px;background:var(--accent);color:#fff}.brand-mark svg{width:17px;height:17px}.explorer{display:flex;flex-direction:column;gap:6px;flex:1;min-height:0}.explorer-head{display:flex;align-items:center;gap:4px;padding:0 6px}.explorer-label{flex:1;font-size:12px;font-weight:600;color:var(--muted)}.explorer-title{padding:8px 6px 4px;font-family:var(--font-display);font-weight:700;font-size:16px;overflow:hidden;text-overflow:ellipsis;white-space:nowrap}.explorer-empty{display:grid;gap:8px;padding:4px 6px;color:var(--muted)}.explorer-empty[hidden]{display:none}.explorer-empty p{margin:0 0 4px;line-height:1.5}.explorer-hint{font-size:12px}.explorer-tree{flex:1;overflow:auto;padding-bottom:12px}.tree{list-style:none;margin:0;padding:0}.tree-row{display:flex;align-items:center;gap:6px;width:100%;padding-top:7px;padding-bottom:7px;padding-right:10px;border:none;border-radius:10px;background:transparent;color:var(--text);text-align:left;white-space:nowrap}.tree-row:hover{background:#ffffff8c}.tree-row.current{background:var(--panel);box-shadow:0 1px 0 var(--border)}.tree-chevron{display:inline-block;width:12px;color:var(--muted);transition:transform .1s}.tree-empty{padding:3px 8px;color:var(--muted);font-style:italic}.connection{margin-top:auto;display:flex;flex-direction:column;gap:12px;padding:14px;background:var(--panel);border:1px solid var(--border);border-radius:14px}.connection-label{font-size:12px;font-weight:600;color:var(--muted)}.connection-grid{display:grid;grid-template-columns:repeat(2,minmax(0,1fr));gap:4px;padding:3px;background:var(--bg);border-radius:10px}.connection-grid.single{grid-template-columns:1fr}.explorer:has(#explorer-empty:not([hidden])) .explorer-head .head-button{display:none}.connection-grid button{padding:7px 0;border:none;border-radius:8px;background:transparent;color:var(--soft)}.connection-grid button:hover{background:var(--surface)}.connection-grid button.active{background:var(--accent);color:#fff;font-weight:600}.group{display:flex;align-items:center;gap:6px}.group[hidden]{display:none}.indicators{flex-direction:column;align-items:flex-start;gap:6px;font-size:13px}.indicator{display:inline-flex;align-items:center;gap:8px;color:var(--muted)}.indicator:before{content:"";width:8px;height:8px;border-radius:50%;background:var(--warn)}.indicator.ok:before{background:var(--ok)}#load-recording{width:100%;background:var(--surface);color:var(--text)}#load-recording.active{background:var(--accent-tint);border-color:var(--accent);color:var(--accent-strong)}.editor{display:flex;flex-direction:column;min-width:0;min-height:0}.toolbar{display:flex;align-items:center;flex-wrap:wrap;gap:10px;padding:14px 24px;border-bottom:1px solid var(--border)}.toolbar-spacer{flex:1}#colors{gap:2px;padding:4px;background:var(--panel);border:1px solid var(--border);border-radius:999px}.swatch{position:relative;width:32px;height:32px;padding:0;border:none;border-radius:50%;background:transparent}.swatch:before{content:"";position:absolute;inset:7px;border-radius:50%;background:var(--ink)}.swatch:hover{background:var(--bg)}.swatch.selected:before{box-shadow:0 0 0 2px var(--panel),0 0 0 4px var(--ink)}.toggle{display:flex;align-items:center;gap:7px;cursor:pointer;-webkit-user-select:none;user-select:none}.toggle input{appearance:none;position:relative;width:30px;height:18px;margin:0;border-radius:999px;background:#00000040;cursor:pointer;transition:background .15s}.toggle input:after{content:"";position:absolute;top:2px;left:2px;width:14px;height:14px;border-radius:50%;background:#fff;transition:transform .15s}.toggle input:checked{background:var(--accent)}.toggle input:checked:after{transform:translate(12px)}.toggle input:focus-visible{outline:2px solid var(--accent);outline-offset:2px}.tabs{display:flex;align-items:flex-end;gap:6px;padding:14px 24px 0;overflow-x:auto;scrollbar-width:thin}.tab{display:flex;align-items:center;flex:none;max-width:220px;border:1px solid var(--border);border-radius:999px;background:var(--panel);color:var(--soft)}.tab[aria-selected=true]{background:var(--text);border-color:var(--text);color:var(--panel);font-weight:600}.tab button{border:none;border-radius:999px;background:transparent;color:inherit;font-weight:inherit}.tab button:hover{background:transparent;color:inherit}.tab-name{padding:7px 4px 7px 16px;overflow:hidden;text-overflow:ellipsis;white-space:nowrap}.tab-name:only-child{padding-right:16px}.tab-close{padding:2px 12px 2px 6px;font-size:15px;opacity:.6}.tab-close:hover{opacity:1}.stage{position:relative;flex:1;min-height:0;overflow:hidden;background:var(--bg)}.page{position:absolute;background:#fff;border-radius:12px;overflow:hidden;box-shadow:0 0 0 1px var(--border),0 2px 0 1px var(--border),0 18px 40px #1d262014}.page[hidden]{display:none}.page.whiteboard{background-color:var(--paper);background-image:linear-gradient(90deg,transparent 63px,var(--margin-rule) 63px,var(--margin-rule) 65px,transparent 65px),repeating-linear-gradient(180deg,transparent 0,transparent 31px,var(--rule) 31px,var(--rule) 32px)}.pagebar{display:flex;align-items:center;gap:12px;height:44px;padding:0 24px;border-top:1px solid var(--border);color:var(--muted);font-size:13px}.pagebar-file{flex:none;max-width:30%;font-weight:600;color:var(--text);overflow:hidden;text-overflow:ellipsis;white-space:nowrap}.status{flex:1;min-width:0;overflow:hidden;text-overflow:ellipsis;white-space:nowrap;color:var(--muted)}.status.error{color:var(--warn)}.pagenav{display:flex;align-items:center;gap:4px;padding:3px;border:1px solid var(--border);border-radius:999px;background:var(--panel)}.pagenav button{display:inline-flex;align-items:center;justify-content:center;width:26px;height:26px;padding:0;border:none;border-radius:50%;background:transparent}.pagenav button svg{width:14px;height:14px}#page-count{padding:0 4px}.pagebar-save{min-width:70px;text-align:right}.pagebar-save.error{color:var(--warn)}.notes{display:flex;flex-direction:column;min-height:0;background:var(--panel);border-left:1px solid var(--border)}.notes-head{display:flex;flex-wrap:wrap;align-items:center;gap:6px 4px;padding:18px 18px 0 22px}.notes-file{padding:12px 22px 14px;font-family:var(--font-display);font-size:26px;font-weight:700;letter-spacing:-.02em;overflow:hidden;text-overflow:ellipsis;white-space:nowrap;border-bottom:1px solid var(--border)}.notes-blocks{flex:1;overflow-y:auto;padding:18px 14px 24px;font-size:16px;line-height:1.6}.notes-empty{margin:8px 8px 10px;color:var(--text);font-size:16px;line-height:1.6}.notes-hint{font-size:13px;color:var(--muted)}.note-block{position:relative;display:flex;gap:8px;align-items:flex-start;margin:2px 0;padding:8px 28px 8px 8px;border-left:3px solid transparent;border-radius:10px}.note-block:hover{background:var(--bg)}.note-block.on-page{border-left-color:var(--accent)}.note-page{flex:none;margin-top:2px;padding:0 6px;border:none;border-radius:6px;background:var(--bg);font-size:11px;line-height:18px;color:var(--muted)}.note-editor{flex:1;min-width:0;font:inherit;font-size:14px;line-height:1.5;padding:6px 8px;border:1px solid var(--accent);border-radius:8px;resize:none;overflow:hidden}.note-delete{position:absolute;top:6px;right:4px;padding:0 6px;border:none;background:transparent;color:var(--muted);font-size:16px;line-height:20px;opacity:0}.note-block:hover .note-delete,.note-delete:focus{opacity:1}.note-block.fresh{animation:note-fresh 1.6s ease-out}@keyframes note-fresh{0%{background:var(--accent-tint)}to{background:transparent}}.note-block.pending{display:block;color:var(--muted);font-style:italic;animation:note-pulse 1.2s ease-in-out infinite}.note-block.updating{background:var(--accent-tint);animation:note-pulse 1.2s ease-in-out infinite}@keyframes note-pulse{50%{opacity:.4}}.note-ask{position:absolute;right:26px;top:6px;padding:0 8px;border-radius:999px;font-size:11px;line-height:20px;color:var(--accent-strong);background:var(--accent-tint);border-color:transparent;opacity:0}.note-block:hover .note-ask,.note-ask:focus{opacity:1}.tutor-card{margin:0 0 10px 11px;padding:10px 12px;border:1px solid var(--border);border-left:3px solid var(--accent);border-radius:10px;background:var(--surface);font-size:14px;line-height:1.5}.tutor-card.verdict-issues{border-left-color:var(--warn)}.tutor-card.verdict-correct{border-left-color:var(--ok)}.tutor-head{display:flex;align-items:center;gap:8px;margin-bottom:4px}.tutor-label{font-family:var(--font-display);font-weight:700;color:var(--accent-strong)}.tutor-verdict{padding:0 8px;border-radius:999px;font-size:11px;line-height:18px;background:var(--accent-tint);color:var(--accent-strong)}.verdict-issues .tutor-verdict{background:#f7e3da;color:var(--warn)}.verdict-correct .tutor-verdict{background:#dff0e5;color:var(--ok)}.tutor-dismiss{margin-left:auto;padding:0 6px;border:none;background:transparent;color:var(--muted);font-size:16px;line-height:20px}.tutor-message p,.tutor-msg p{margin:0 0 6px;white-space:pre-wrap}.tutor-msg ul,.tutor-msg ol{margin:0 0 6px;padding-left:20px}.tutor-issues{margin:6px 0;padding:0;list-style:none}.tutor-issues li{padding:6px 0;border-top:1px dashed var(--border)}.tutor-change{display:flex;flex-wrap:wrap;align-items:baseline;gap:6px}.tutor-kind{font-size:11px;font-weight:600;text-transform:uppercase;letter-spacing:.04em;color:var(--muted)}.tutor-change del{color:var(--warn);text-decoration-thickness:2px}.tutor-change ins{color:var(--ok);font-weight:600;text-decoration:none}.tutor-arrow{color:var(--muted)}.tutor-why{margin:2px 0 4px;color:var(--soft);font-size:13px}.tutor-apply,.tutor-option,.tutor-retry{padding:2px 10px;border-radius:999px;font-size:12px;line-height:18px}.tutor-options{display:flex;flex-wrap:wrap;gap:6px;margin:8px 0 4px}.tutor-option{border-color:var(--accent);color:var(--accent-strong);background:var(--accent-tint)}.tutor-msg{margin:8px 0 0;padding:6px 10px;border-radius:10px}.tutor-msg.from-student{margin-left:24px;background:var(--bg);white-space:pre-wrap}.tutor-msg.from-tutor{margin-right:12px;background:var(--accent-tint)}.tutor-msg .katex-display{margin:4px 0;overflow-x:auto;overflow-y:hidden}.tutor-pending{margin:8px 0 0;color:var(--muted);font-style:italic;animation:note-pulse 1.2s ease-in-out infinite}.tutor-error{margin:8px 0 0;color:var(--warn);font-size:13px}.tutor-ask{display:flex;gap:6px;margin-top:8px}.tutor-input{flex:1;min-width:0;padding:5px 10px;border:1px solid var(--border);border-radius:999px;background:var(--panel);color:var(--text);font:inherit;font-size:13px}.tutor-input:focus{outline:2px solid var(--accent);outline-offset:1px}.tutor-send{padding:4px 12px;border-radius:999px;font-size:13px}.tutor-card.verdict-explain{border-left-color:var(--accent-strong)}.note-sketch{display:block;max-width:100%;max-height:180px;margin-top:4px;border:1px solid var(--border);border-radius:8px;background:#fff}.tutor-page-ask{display:flex;gap:6px;padding:12px 14px 14px;border-top:1px solid var(--border)}.tutor-page-ask[hidden]{display:none}.tutor-page-ask input{flex:1;min-width:0;padding:7px 12px;border:1px solid var(--border);border-radius:999px;background:var(--surface);color:var(--text);font:inherit;font-size:14px}.tutor-page-ask input:focus{outline:2px solid var(--accent);outline-offset:1px}.tutor-page-ask button{border-radius:999px}.drop-overlay{position:fixed;inset:0;z-index:10;display:grid;place-items:center;background:#2e6b4f1f;pointer-events:none}.drop-overlay[hidden]{display:none}.drop-overlay-box{padding:18px 28px;border:2px dashed var(--accent);border-radius:14px;background:var(--panel);color:var(--accent-strong);font-size:16px;font-weight:600}@media(max-width:1499px){#toggle-tutor .label{position:absolute;width:1px;height:1px;overflow:hidden;clip:rect(0 0 0 0);white-space:nowrap}}@media(max-width:1399px){.workspace{grid-template-columns:220px minmax(0,1fr) 260px}body.notes-hidden .workspace{grid-template-columns:220px minmax(0,1fr)}.toolbar{padding:12px 16px}#clear .label,#save-copy .label{position:absolute;width:1px;height:1px;overflow:hidden;clip:rect(0 0 0 0);white-space:nowrap}}@media(max-width:1180px){.toolbar{gap:8px}.swatch{width:28px;height:28px}.swatch:before{inset:6px}#toggle-notes .label{position:absolute;width:1px;height:1px;overflow:hidden;clip:rect(0 0 0 0);white-space:nowrap}}@media(max-width:1090px){.workspace{grid-template-columns:200px minmax(0,1fr) 240px}body.notes-hidden .workspace{grid-template-columns:200px minmax(0,1fr)}#transcribe .label{position:absolute;width:1px;height:1px;overflow:hidden;clip:rect(0 0 0 0);white-space:nowrap}}.tree-label{overflow:hidden;text-overflow:ellipsis}[aria-expanded=true]>.tree-row .tree-chevron{transform:rotate(90deg)}.tree-badge{flex:none;min-width:28px;padding:0 3px;border-radius:3px;font-size:9px;font-weight:700;line-height:15px;text-align:center;text-transform:uppercase;color:#fff;background:#8a8a84}.tree-badge.kind-pdf{background:#c8402f}.tree-badge.kind-image{background:#2e8b57}.tree-badge.kind-office{background:#b0b0aa}.page-content{position:absolute;left:0;top:0;transform-origin:0 0;overflow:hidden;pointer-events:none;-webkit-user-select:none;user-select:none}.page-image{display:block;width:100%;height:100%}.measure-root{position:fixed;left:-100000px;top:0;width:4000px;visibility:hidden;pointer-events:none}.copy-host{position:fixed;left:-100000px;top:0;pointer-events:none}.copy-page{position:relative;overflow:hidden;background:#fff}.page-slice{position:absolute;left:0;overflow:hidden}.sheet-page{box-sizing:border-box;background:#fff;color:#1c1c1a;font:14px system-ui,-apple-system,Segoe UI,sans-serif}.sheet-title{margin-bottom:12px;font-size:18px;font-weight:700}.sheet-table{border-collapse:collapse}.sheet-table th,.sheet-table td{padding:4px 10px;border:1px solid #d4d4cf;white-space:nowrap;text-align:left}.sheet-table th{background:#f0f0ec;font-weight:600}.sheet-table td.num{text-align:right;font-variant-numeric:tabular-nums}.sheet-table .sheet-more{color:#6b6b66;font-style:italic}.page-pdf{display:block;width:100%;height:100%}.page-text{margin:0;height:100%;box-sizing:border-box;color:#24292f;white-space:pre}.typed-layer{position:absolute;inset:0;overflow:hidden;pointer-events:none}.typed-box{position:absolute;display:flex;align-items:center;justify-content:center}.typed-text{flex:none;font-family:system-ui,-apple-system,Segoe UI,sans-serif;line-height:1.15;white-space:nowrap}.typed-text p,.typed-text h3,.typed-text h4,.typed-text h5,.typed-text ul,.typed-text ol{margin:0}.typed-text.fade-in{animation:typed-fade-in .5s ease-out}@keyframes typed-fade-in{0%{opacity:0}}#ink{position:absolute;inset:0;display:block;width:100%;height:100%;touch-action:none;cursor:crosshair}.page-message{position:absolute;inset:0;display:grid;place-content:center;gap:6px;padding:24px;text-align:center;color:var(--muted)}.page-message[hidden]{display:none}.page-message-title{font-size:16px;font-weight:700;color:var(--text)}.note-body{flex:1;min-width:0;cursor:text;overflow-wrap:anywhere}.note-body>:first-child{margin-top:0}.note-body>:last-child{margin-bottom:0}.note-body p{margin:0 0 6px;white-space:pre-wrap}.note-body h3,.note-body h4,.note-body h5{margin:2px 0 6px;line-height:1.25}.note-body ul,.note-body ol{margin:0 0 6px;padding-left:20px}.note-body .katex-display{margin:4px 0;overflow-x:auto;overflow-y:hidden}.size-dot{display:block;border-radius:50%;background:var(--text)}.tree-row.remote-cursor{outline:2px solid var(--accent);outline-offset:-2px}body.presenting .toolbar,body.presenting .sidebar,body.presenting .notes,body.presenting .tabs,body.presenting .pagebar,body.presenting .debug,body.presenting #debug-trail{display:none}body.presenting .workspace{grid-template-columns:minmax(0,1fr)}.toast{position:fixed;left:50%;bottom:44px;transform:translate(-50%);padding:8px 16px;border-radius:999px;background:#1d2620e0;color:#fff;font-size:14px;pointer-events:none;opacity:0;transition:opacity .2s;z-index:20}.toast.shown{opacity:1}.ask-card{position:absolute;z-index:14;width:min(560px,46%);max-height:calc(100% - 32px);overflow-y:auto;padding:20px 24px 24px;background:var(--surface);border:2px solid var(--accent);border-radius:16px;box-shadow:0 12px 40px #0003;font-size:22px;line-height:1.45;color:var(--text)}.ask-card[hidden]{display:none}.ask-head{display:flex;align-items:flex-start;gap:12px}.ask-title{flex:1;font-family:var(--font-display);font-size:26px;font-weight:700;color:var(--accent-strong)}.ask-title p,.ask-body p{margin:0 0 10px}.ask-body ol,.ask-body ul{margin:0 0 10px;padding-left:1.3em}.ask-body .katex-display{margin:8px 0}.ask-card.loading .ask-title{color:var(--muted);animation:note-pulse 1.2s ease-in-out infinite}.corner-guide{position:absolute;inset:0;z-index:16;pointer-events:none}.corner-guide[hidden]{display:none}.corner-dot{position:absolute;width:28px;height:28px;margin:-14px;border:3px solid var(--accent);border-radius:50%;background:var(--surface);opacity:.35}.corner-dot.top{top:14px}.corner-dot.bottom{bottom:14px}.corner-dot.left{left:14px}.corner-dot.right{right:14px}.corner-dot.done{background:var(--accent);opacity:.6}.corner-dot.current{opacity:1;background:var(--accent);box-shadow:0 0 0 10px #2e6b4f40;animation:corner-pulse 1s ease-in-out infinite}@keyframes corner-pulse{50%{box-shadow:0 0 0 18px #2e6b4f1f}}.corner-card{position:absolute;top:50%;left:50%;transform:translate(-50%,-50%);width:min(460px,calc(100% - 120px));padding:22px 26px;text-align:center;background:var(--surface);border:2px solid var(--accent);border-radius:16px;box-shadow:0 12px 40px #0000002e}.corner-title{font-family:var(--font-display);font-size:26px;font-weight:700;color:var(--accent-strong)}.corner-text{margin-top:6px;font-size:16px;color:var(--soft)}.calibrating{position:absolute;top:50%;left:50%;z-index:15;transform:translate(-50%,-50%);width:min(420px,calc(100% - 32px));padding:24px 28px;text-align:center;background:var(--surface);border:2px solid var(--accent);border-radius:16px;box-shadow:0 12px 40px #0000002e;pointer-events:none}.calibrating[hidden]{display:none}.calibrating-title{font-family:var(--font-display);font-size:28px;font-weight:700;color:var(--accent-strong)}.calibrating-text{margin-top:6px;font-size:16px;color:var(--soft)}.calibrating-bar{height:10px;margin-top:16px;overflow:hidden;background:var(--accent-tint);border-radius:5px}.calibrating-bar span{display:block;width:0;height:100%;background:var(--accent);transition:width .1s linear}.debug{position:fixed;right:16px;bottom:56px;z-index:20;display:flex;flex-direction:column;gap:6px;width:380px;max-width:calc(100vw - 32px);max-height:calc(100vh - 120px);overflow-y:auto;padding:10px 14px 14px;background:var(--panel);border:1px solid var(--border);border-radius:10px;box-shadow:0 8px 24px #0000001f}.debug[hidden]{display:none}.debug-head{display:flex;align-items:center;gap:8px}.debug-hint{margin-left:auto;font-size:12px;color:var(--muted)}.debug-section{display:flex;flex-direction:column;gap:6px;padding-top:8px;border-top:1px solid var(--border)}.debug-title{display:flex;align-items:center;justify-content:space-between;font-weight:600;font-size:12px}.debug-legend{display:flex;align-items:center;gap:4px;font-weight:400;color:var(--muted)}.debug-legend i{display:inline-block;width:10px;height:3px;margin-left:6px;border-radius:2px}.debug-graph{display:block;width:100%;height:110px;background:var(--bg);border-radius:6px}.debug-graph.small{height:64px}.debug-readout{color:var(--muted);font-family:ui-monospace,SFMono-Regular,Menlo,monospace;font-size:12px;white-space:pre}.debug-wizard-text{font-size:12px;color:var(--muted)}.debug-wizard-text.active{color:var(--accent);font-weight:600}.debug progress{width:100%}.debug progress[hidden]{display:none}#debug-record.recording{color:#fff;background:var(--warn);border-color:var(--warn)}#debug-trail{position:absolute;inset:0;width:100%;height:100%;pointer-events:none}#debug-trail[hidden]{display:none}.tuning-row{display:flex;align-items:center;justify-content:space-between;gap:8px;margin-top:4px}.tuning-row output{color:var(--muted);font-variant-numeric:tabular-nums}.tuning-pair{display:flex;align-items:center;gap:10px}.debug input[type=range]{width:100%}.tuning-actions{display:flex;gap:6px;margin-top:6px}@font-face{font-display:block;font-family:KaTeX_AMS;font-style:normal;font-weight:400;src:url(/assets/KaTeX_AMS-Regular-BQhdFMY1.woff2) format("woff2"),url(/assets/KaTeX_AMS-Regular-DMm9YOAa.woff) format("woff"),url(/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(/assets/KaTeX_Caligraphic-Bold-Dq_IR9rO.woff2) format("woff2"),url(/assets/KaTeX_Caligraphic-Bold-BEiXGLvX.woff) format("woff"),url(/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(/assets/KaTeX_Caligraphic-Regular-Di6jR-x-.woff2) format("woff2"),url(/assets/KaTeX_Caligraphic-Regular-CTRA-rTL.woff) format("woff"),url(/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(/assets/KaTeX_Fraktur-Bold-CL6g_b3V.woff2) format("woff2"),url(/assets/KaTeX_Fraktur-Bold-BsDP51OF.woff) format("woff"),url(/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(/assets/KaTeX_Fraktur-Regular-CTYiF6lA.woff2) format("woff2"),url(/assets/KaTeX_Fraktur-Regular-Dxdc4cR9.woff) format("woff"),url(/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(/assets/KaTeX_Main-Bold-Cx986IdX.woff2) format("woff2"),url(/assets/KaTeX_Main-Bold-Jm3AIy58.woff) format("woff"),url(/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(/assets/KaTeX_Main-BoldItalic-DxDJ3AOS.woff2) format("woff2"),url(/assets/KaTeX_Main-BoldItalic-SpSLRI95.woff) format("woff"),url(/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(/assets/KaTeX_Main-Italic-NWA7e6Wa.woff2) format("woff2"),url(/assets/KaTeX_Main-Italic-BMLOBm91.woff) format("woff"),url(/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(/assets/KaTeX_Main-Regular-B22Nviop.woff2) format("woff2"),url(/assets/KaTeX_Main-Regular-Dr94JaBh.woff) format("woff"),url(/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(/assets/KaTeX_Math-BoldItalic-CZnvNsCZ.woff2) format("woff2"),url(/assets/KaTeX_Math-BoldItalic-iY-2wyZ7.woff) format("woff"),url(/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(/assets/KaTeX_Math-Italic-t53AETM-.woff2) format("woff2"),url(/assets/KaTeX_Math-Italic-DA0__PXp.woff) format("woff"),url(/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(/assets/KaTeX_SansSerif-Bold-D1sUS0GD.woff2) format("woff2"),url(/assets/KaTeX_SansSerif-Bold-DbIhKOiC.woff) format("woff"),url(/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(/assets/KaTeX_SansSerif-Italic-C3H0VqGB.woff2) format("woff2"),url(/assets/KaTeX_SansSerif-Italic-DN2j7dab.woff) format("woff"),url(/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(/assets/KaTeX_SansSerif-Regular-DDBCnlJ7.woff2) format("woff2"),url(/assets/KaTeX_SansSerif-Regular-CS6fqUqJ.woff) format("woff"),url(/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(/assets/KaTeX_Script-Regular-D3wIWfF6.woff2) format("woff2"),url(/assets/KaTeX_Script-Regular-D5yQViql.woff) format("woff"),url(/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(/assets/KaTeX_Size1-Regular-mCD8mA8B.woff2) format("woff2"),url(/assets/KaTeX_Size1-Regular-C195tn64.woff) format("woff"),url(/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(/assets/KaTeX_Size2-Regular-Dy4dx90m.woff2) format("woff2"),url(/assets/KaTeX_Size2-Regular-oD1tc_U0.woff) format("woff"),url(/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(/assets/KaTeX_Size3-Regular-CTq5MqoE.woff) format("woff"),url(/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(/assets/KaTeX_Size4-Regular-Dl5lxZxV.woff2) format("woff2"),url(/assets/KaTeX_Size4-Regular-BF-4gkZK.woff) format("woff"),url(/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(/assets/KaTeX_Typewriter-Regular-CO6r4hn1.woff2) format("woff2"),url(/assets/KaTeX_Typewriter-Regular-C0xS9mPB.woff) format("woff"),url(/assets/KaTeX_Typewriter-Regular-D3Ib7_Hf.ttf) format("truetype")}.katex{font: 1.21em KaTeX_Main,math,Times New Roman,serif;line-height:1.2;position:relative;text-indent:0;text-rendering:auto}.katex *{-ms-high-contrast-adjust:none!important;border-color:currentColor}.katex .katex-version:after{content:"0.19.0"}.katex .katex-mathml{border:0;-webkit-clip-path:inset(50%);clip-path:inset(50%);height:1px;overflow:hidden;padding:0;position:absolute;width:1px}.katex .katex-html>.katex-newline{display:block}.katex .katex-base{position:relative;white-space:nowrap;width:-webkit-min-content;width:-moz-min-content;width:min-content}.katex .katex-base,.katex .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;display:inline-table;table-layout:fixed}.katex .vlist-r{display:table-row}.katex .vlist{display:table-cell;position:relative;vertical-align:bottom}.katex .vlist>span{display:block;height:0;position:relative}.katex .vlist>span>span{display:inline-block}.katex .vlist>span>.pstrut{overflow:hidden;width:0}.katex .vlist-t2{margin-right:-2px}.katex .vlist-s{display:table-cell;font-size:1px;min-width:2px;vertical-align:bottom;width:2px}.katex .katex-vbox{align-items:baseline;display:inline-flex;flex-direction:column}.katex .katex-thinbox{display:inline-flex;flex-direction:row;max-width:0;width:0}.katex .msupsub{text-align:left}.katex .mfrac>span>span{text-align:center}.katex .mfrac .frac-line{border-bottom-style:solid;display:inline-block;width:100%}.katex .katex-hdashline,.katex .katex-hline,.katex .katex-overline .overline-line,.katex .katex-rule,.katex .katex-underline .underline-line,.katex .mfrac .frac-line{min-height:1px}.katex .mspace{display:inline-block}.katex .katex-smash{display:inline;line-height:0}.katex .clap,.katex .llap,.katex .rlap{position:relative;width:0}.katex .clap>.katex-inner,.katex .llap>.katex-inner,.katex .rlap>.katex-inner{position:absolute}.katex .clap>.katex-fix,.katex .llap>.katex-fix,.katex .rlap>.katex-fix{display:inline-block}.katex .llap>.katex-inner{right:0}.katex .clap>.katex-inner,.katex .rlap>.katex-inner{left:0}.katex .clap>.katex-inner>span{margin-left:-50%;margin-right:50%}.katex .katex-rule{border:0 solid;display:inline-block;position:relative}.katex .katex-hline,.katex .katex-overline .overline-line,.katex .katex-underline .underline-line{border-bottom-style:solid;display:inline-block;width:100%}.katex .katex-hdashline{border-bottom-style:dashed;display:inline-block;width:100%}.katex .sqrt>.katex-root{margin-left:.2777777778em;margin-right:-.5555555556em}.katex .fontsize-ensurer.reset-size1.size1,.katex .katex-sizing.reset-size1.size1{font-size:1em}.katex .fontsize-ensurer.reset-size1.size2,.katex .katex-sizing.reset-size1.size2{font-size:1.2em}.katex .fontsize-ensurer.reset-size1.size3,.katex .katex-sizing.reset-size1.size3{font-size:1.4em}.katex .fontsize-ensurer.reset-size1.size4,.katex .katex-sizing.reset-size1.size4{font-size:1.6em}.katex .fontsize-ensurer.reset-size1.size5,.katex .katex-sizing.reset-size1.size5{font-size:1.8em}.katex .fontsize-ensurer.reset-size1.size6,.katex .katex-sizing.reset-size1.size6{font-size:2em}.katex .fontsize-ensurer.reset-size1.size7,.katex .katex-sizing.reset-size1.size7{font-size:2.4em}.katex .fontsize-ensurer.reset-size1.size8,.katex .katex-sizing.reset-size1.size8{font-size:2.88em}.katex .fontsize-ensurer.reset-size1.size9,.katex .katex-sizing.reset-size1.size9{font-size:3.456em}.katex .fontsize-ensurer.reset-size1.size10,.katex .katex-sizing.reset-size1.size10{font-size:4.148em}.katex .fontsize-ensurer.reset-size1.size11,.katex .katex-sizing.reset-size1.size11{font-size:4.976em}.katex .fontsize-ensurer.reset-size2.size1,.katex .katex-sizing.reset-size2.size1{font-size:.8333333333em}.katex .fontsize-ensurer.reset-size2.size2,.katex .katex-sizing.reset-size2.size2{font-size:1em}.katex .fontsize-ensurer.reset-size2.size3,.katex .katex-sizing.reset-size2.size3{font-size:1.1666666667em}.katex .fontsize-ensurer.reset-size2.size4,.katex .katex-sizing.reset-size2.size4{font-size:1.3333333333em}.katex .fontsize-ensurer.reset-size2.size5,.katex .katex-sizing.reset-size2.size5{font-size:1.5em}.katex .fontsize-ensurer.reset-size2.size6,.katex .katex-sizing.reset-size2.size6{font-size:1.6666666667em}.katex .fontsize-ensurer.reset-size2.size7,.katex .katex-sizing.reset-size2.size7{font-size:2em}.katex .fontsize-ensurer.reset-size2.size8,.katex .katex-sizing.reset-size2.size8{font-size:2.4em}.katex .fontsize-ensurer.reset-size2.size9,.katex .katex-sizing.reset-size2.size9{font-size:2.88em}.katex .fontsize-ensurer.reset-size2.size10,.katex .katex-sizing.reset-size2.size10{font-size:3.4566666667em}.katex .fontsize-ensurer.reset-size2.size11,.katex .katex-sizing.reset-size2.size11{font-size:4.1466666667em}.katex .fontsize-ensurer.reset-size3.size1,.katex .katex-sizing.reset-size3.size1{font-size:.7142857143em}.katex .fontsize-ensurer.reset-size3.size2,.katex .katex-sizing.reset-size3.size2{font-size:.8571428571em}.katex .fontsize-ensurer.reset-size3.size3,.katex .katex-sizing.reset-size3.size3{font-size:1em}.katex .fontsize-ensurer.reset-size3.size4,.katex .katex-sizing.reset-size3.size4{font-size:1.1428571429em}.katex .fontsize-ensurer.reset-size3.size5,.katex .katex-sizing.reset-size3.size5{font-size:1.2857142857em}.katex .fontsize-ensurer.reset-size3.size6,.katex .katex-sizing.reset-size3.size6{font-size:1.4285714286em}.katex .fontsize-ensurer.reset-size3.size7,.katex .katex-sizing.reset-size3.size7{font-size:1.7142857143em}.katex .fontsize-ensurer.reset-size3.size8,.katex .katex-sizing.reset-size3.size8{font-size:2.0571428571em}.katex .fontsize-ensurer.reset-size3.size9,.katex .katex-sizing.reset-size3.size9{font-size:2.4685714286em}.katex .fontsize-ensurer.reset-size3.size10,.katex .katex-sizing.reset-size3.size10{font-size:2.9628571429em}.katex .fontsize-ensurer.reset-size3.size11,.katex .katex-sizing.reset-size3.size11{font-size:3.5542857143em}.katex .fontsize-ensurer.reset-size4.size1,.katex .katex-sizing.reset-size4.size1{font-size:.625em}.katex .fontsize-ensurer.reset-size4.size2,.katex .katex-sizing.reset-size4.size2{font-size:.75em}.katex .fontsize-ensurer.reset-size4.size3,.katex .katex-sizing.reset-size4.size3{font-size:.875em}.katex .fontsize-ensurer.reset-size4.size4,.katex .katex-sizing.reset-size4.size4{font-size:1em}.katex .fontsize-ensurer.reset-size4.size5,.katex .katex-sizing.reset-size4.size5{font-size:1.125em}.katex .fontsize-ensurer.reset-size4.size6,.katex .katex-sizing.reset-size4.size6{font-size:1.25em}.katex .fontsize-ensurer.reset-size4.size7,.katex .katex-sizing.reset-size4.size7{font-size:1.5em}.katex .fontsize-ensurer.reset-size4.size8,.katex .katex-sizing.reset-size4.size8{font-size:1.8em}.katex .fontsize-ensurer.reset-size4.size9,.katex .katex-sizing.reset-size4.size9{font-size:2.16em}.katex .fontsize-ensurer.reset-size4.size10,.katex .katex-sizing.reset-size4.size10{font-size:2.5925em}.katex .fontsize-ensurer.reset-size4.size11,.katex .katex-sizing.reset-size4.size11{font-size:3.11em}.katex .fontsize-ensurer.reset-size5.size1,.katex .katex-sizing.reset-size5.size1{font-size:.5555555556em}.katex .fontsize-ensurer.reset-size5.size2,.katex .katex-sizing.reset-size5.size2{font-size:.6666666667em}.katex .fontsize-ensurer.reset-size5.size3,.katex .katex-sizing.reset-size5.size3{font-size:.7777777778em}.katex .fontsize-ensurer.reset-size5.size4,.katex .katex-sizing.reset-size5.size4{font-size:.8888888889em}.katex .fontsize-ensurer.reset-size5.size5,.katex .katex-sizing.reset-size5.size5{font-size:1em}.katex .fontsize-ensurer.reset-size5.size6,.katex .katex-sizing.reset-size5.size6{font-size:1.1111111111em}.katex .fontsize-ensurer.reset-size5.size7,.katex .katex-sizing.reset-size5.size7{font-size:1.3333333333em}.katex .fontsize-ensurer.reset-size5.size8,.katex .katex-sizing.reset-size5.size8{font-size:1.6em}.katex .fontsize-ensurer.reset-size5.size9,.katex .katex-sizing.reset-size5.size9{font-size:1.92em}.katex .fontsize-ensurer.reset-size5.size10,.katex .katex-sizing.reset-size5.size10{font-size:2.3044444444em}.katex .fontsize-ensurer.reset-size5.size11,.katex .katex-sizing.reset-size5.size11{font-size:2.7644444444em}.katex .fontsize-ensurer.reset-size6.size1,.katex .katex-sizing.reset-size6.size1{font-size:.5em}.katex .fontsize-ensurer.reset-size6.size2,.katex .katex-sizing.reset-size6.size2{font-size:.6em}.katex .fontsize-ensurer.reset-size6.size3,.katex .katex-sizing.reset-size6.size3{font-size:.7em}.katex .fontsize-ensurer.reset-size6.size4,.katex .katex-sizing.reset-size6.size4{font-size:.8em}.katex .fontsize-ensurer.reset-size6.size5,.katex .katex-sizing.reset-size6.size5{font-size:.9em}.katex .fontsize-ensurer.reset-size6.size6,.katex .katex-sizing.reset-size6.size6{font-size:1em}.katex .fontsize-ensurer.reset-size6.size7,.katex .katex-sizing.reset-size6.size7{font-size:1.2em}.katex .fontsize-ensurer.reset-size6.size8,.katex .katex-sizing.reset-size6.size8{font-size:1.44em}.katex .fontsize-ensurer.reset-size6.size9,.katex .katex-sizing.reset-size6.size9{font-size:1.728em}.katex .fontsize-ensurer.reset-size6.size10,.katex .katex-sizing.reset-size6.size10{font-size:2.074em}.katex .fontsize-ensurer.reset-size6.size11,.katex .katex-sizing.reset-size6.size11{font-size:2.488em}.katex .fontsize-ensurer.reset-size7.size1,.katex .katex-sizing.reset-size7.size1{font-size:.4166666667em}.katex .fontsize-ensurer.reset-size7.size2,.katex .katex-sizing.reset-size7.size2{font-size:.5em}.katex .fontsize-ensurer.reset-size7.size3,.katex .katex-sizing.reset-size7.size3{font-size:.5833333333em}.katex .fontsize-ensurer.reset-size7.size4,.katex .katex-sizing.reset-size7.size4{font-size:.6666666667em}.katex .fontsize-ensurer.reset-size7.size5,.katex .katex-sizing.reset-size7.size5{font-size:.75em}.katex .fontsize-ensurer.reset-size7.size6,.katex .katex-sizing.reset-size7.size6{font-size:.8333333333em}.katex .fontsize-ensurer.reset-size7.size7,.katex .katex-sizing.reset-size7.size7{font-size:1em}.katex .fontsize-ensurer.reset-size7.size8,.katex .katex-sizing.reset-size7.size8{font-size:1.2em}.katex .fontsize-ensurer.reset-size7.size9,.katex .katex-sizing.reset-size7.size9{font-size:1.44em}.katex .fontsize-ensurer.reset-size7.size10,.katex .katex-sizing.reset-size7.size10{font-size:1.7283333333em}.katex .fontsize-ensurer.reset-size7.size11,.katex .katex-sizing.reset-size7.size11{font-size:2.0733333333em}.katex .fontsize-ensurer.reset-size8.size1,.katex .katex-sizing.reset-size8.size1{font-size:.3472222222em}.katex .fontsize-ensurer.reset-size8.size2,.katex .katex-sizing.reset-size8.size2{font-size:.4166666667em}.katex .fontsize-ensurer.reset-size8.size3,.katex .katex-sizing.reset-size8.size3{font-size:.4861111111em}.katex .fontsize-ensurer.reset-size8.size4,.katex .katex-sizing.reset-size8.size4{font-size:.5555555556em}.katex .fontsize-ensurer.reset-size8.size5,.katex .katex-sizing.reset-size8.size5{font-size:.625em}.katex .fontsize-ensurer.reset-size8.size6,.katex .katex-sizing.reset-size8.size6{font-size:.6944444444em}.katex .fontsize-ensurer.reset-size8.size7,.katex .katex-sizing.reset-size8.size7{font-size:.8333333333em}.katex .fontsize-ensurer.reset-size8.size8,.katex .katex-sizing.reset-size8.size8{font-size:1em}.katex .fontsize-ensurer.reset-size8.size9,.katex .katex-sizing.reset-size8.size9{font-size:1.2em}.katex .fontsize-ensurer.reset-size8.size10,.katex .katex-sizing.reset-size8.size10{font-size:1.4402777778em}.katex .fontsize-ensurer.reset-size8.size11,.katex .katex-sizing.reset-size8.size11{font-size:1.7277777778em}.katex .fontsize-ensurer.reset-size9.size1,.katex .katex-sizing.reset-size9.size1{font-size:.2893518519em}.katex .fontsize-ensurer.reset-size9.size2,.katex .katex-sizing.reset-size9.size2{font-size:.3472222222em}.katex .fontsize-ensurer.reset-size9.size3,.katex .katex-sizing.reset-size9.size3{font-size:.4050925926em}.katex .fontsize-ensurer.reset-size9.size4,.katex .katex-sizing.reset-size9.size4{font-size:.462962963em}.katex .fontsize-ensurer.reset-size9.size5,.katex .katex-sizing.reset-size9.size5{font-size:.5208333333em}.katex .fontsize-ensurer.reset-size9.size6,.katex .katex-sizing.reset-size9.size6{font-size:.5787037037em}.katex .fontsize-ensurer.reset-size9.size7,.katex .katex-sizing.reset-size9.size7{font-size:.6944444444em}.katex .fontsize-ensurer.reset-size9.size8,.katex .katex-sizing.reset-size9.size8{font-size:.8333333333em}.katex .fontsize-ensurer.reset-size9.size9,.katex .katex-sizing.reset-size9.size9{font-size:1em}.katex .fontsize-ensurer.reset-size9.size10,.katex .katex-sizing.reset-size9.size10{font-size:1.2002314815em}.katex .fontsize-ensurer.reset-size9.size11,.katex .katex-sizing.reset-size9.size11{font-size:1.4398148148em}.katex .fontsize-ensurer.reset-size10.size1,.katex .katex-sizing.reset-size10.size1{font-size:.2410800386em}.katex .fontsize-ensurer.reset-size10.size2,.katex .katex-sizing.reset-size10.size2{font-size:.2892960463em}.katex .fontsize-ensurer.reset-size10.size3,.katex .katex-sizing.reset-size10.size3{font-size:.337512054em}.katex .fontsize-ensurer.reset-size10.size4,.katex .katex-sizing.reset-size10.size4{font-size:.3857280617em}.katex .fontsize-ensurer.reset-size10.size5,.katex .katex-sizing.reset-size10.size5{font-size:.4339440694em}.katex .fontsize-ensurer.reset-size10.size6,.katex .katex-sizing.reset-size10.size6{font-size:.4821600771em}.katex .fontsize-ensurer.reset-size10.size7,.katex .katex-sizing.reset-size10.size7{font-size:.5785920926em}.katex .fontsize-ensurer.reset-size10.size8,.katex .katex-sizing.reset-size10.size8{font-size:.6943105111em}.katex .fontsize-ensurer.reset-size10.size9,.katex .katex-sizing.reset-size10.size9{font-size:.8331726133em}.katex .fontsize-ensurer.reset-size10.size10,.katex .katex-sizing.reset-size10.size10{font-size:1em}.katex .fontsize-ensurer.reset-size10.size11,.katex .katex-sizing.reset-size10.size11{font-size:1.1996142719em}.katex .fontsize-ensurer.reset-size11.size1,.katex .katex-sizing.reset-size11.size1{font-size:.2009646302em}.katex .fontsize-ensurer.reset-size11.size2,.katex .katex-sizing.reset-size11.size2{font-size:.2411575563em}.katex .fontsize-ensurer.reset-size11.size3,.katex .katex-sizing.reset-size11.size3{font-size:.2813504823em}.katex .fontsize-ensurer.reset-size11.size4,.katex .katex-sizing.reset-size11.size4{font-size:.3215434084em}.katex .fontsize-ensurer.reset-size11.size5,.katex .katex-sizing.reset-size11.size5{font-size:.3617363344em}.katex .fontsize-ensurer.reset-size11.size6,.katex .katex-sizing.reset-size11.size6{font-size:.4019292605em}.katex .fontsize-ensurer.reset-size11.size7,.katex .katex-sizing.reset-size11.size7{font-size:.4823151125em}.katex .fontsize-ensurer.reset-size11.size8,.katex .katex-sizing.reset-size11.size8{font-size:.578778135em}.katex .fontsize-ensurer.reset-size11.size9,.katex .katex-sizing.reset-size11.size9{font-size:.6945337621em}.katex .fontsize-ensurer.reset-size11.size10,.katex .katex-sizing.reset-size11.size10{font-size:.8336012862em}.katex .fontsize-ensurer.reset-size11.size11,.katex .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{display:inline-block;width:.12em}.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 .katex-accent>.vlist-t,.katex .op-limits>.vlist-t{text-align:center}.katex .katex-accent .accent-body{position:relative}.katex .katex-accent .accent-body:not(.accent-full){width:0}.katex .katex-overlay{display:block}.katex .mtable .vertical-separator{display:inline-block;min-width:1px}.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;display:block;height:inherit;position:absolute;width:100%}.katex svg path{stroke:none}.katex svg{fill-rule:nonzero;fill-opacity:1;stroke-width:1;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:4;stroke-dasharray:none;stroke-dashoffset:0;stroke-opacity:1}.katex img{border-style:none;max-height:none;max-width:none;min-height:0;min-width:0}.katex .katex-stretchy{display:block;overflow:hidden;position:relative;width:100%}.katex .katex-stretchy:after,.katex .katex-stretchy:before{content:""}.katex .hide-tail{overflow:hidden;position:relative;width:100%}.katex .halfarrow-left{left:0;overflow:hidden;position:absolute;width:50.2%}.katex .halfarrow-right{overflow:hidden;position:absolute;right:0;width:50.2%}.katex .brace-left{left:0;overflow:hidden;position:absolute;width:25.1%}.katex .brace-center{left:25%;overflow:hidden;position:absolute;width:50%}.katex .brace-right{overflow:hidden;position:absolute;right:0;width:25.1%}.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{border:.04em solid;box-sizing:border-box}.katex .cancel-pad{padding:0 .2em}.katex .cancel-lap{margin-left:-.2em;margin-right:-.2em}.katex .katex-sout{border-bottom-style:solid;border-bottom-width:.08em}.katex .angl{border-right:.049em solid;border-top:.049em solid;box-sizing:border-box;margin-right:.03889em}.katex .anglpad{padding:0 .03889em}.katex .reflectbox{display:inline-block;transform:scaleX(-1)}.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{display:inline-block;position:absolute;right:calc(50% + .3em);text-align:left}.katex .cd-label-right{display:inline-block;left:calc(50% + .3em);position:absolute;text-align:right}.katex-display{display:block;margin:1em 0;text-align:center}.katex-display>.katex{display:block;text-align:center;white-space:nowrap}.katex-display>.katex>.katex-html{display:block;position:relative}.katex-display>.katex>.katex-html>.katex-tag{position:absolute;right:0}.katex-display.leqno>.katex>.katex-html>.katex-tag{left:0;right:auto}.katex-display.fleqn>.katex{padding-left:2em;text-align:left}body{counter-reset:katexEqnNo mmlEqnNo}