@font-face{font-family:STIX Two Text;src:url(./STIXTwoText-Regular-CemKqCiu.otf);font-weight:400;font-style:normal;font-display:swap}@font-face{font-family:STIX Two Text;src:url(./STIXTwoText-Italic-CfqQ4I0l.otf);font-weight:400;font-style:italic;font-display:swap}@font-face{font-family:STIX Two Text;src:url(./STIXTwoText-Bold-B1WBQ2yV.otf);font-weight:700;font-style:normal;font-display:swap}@font-face{font-family:STIX Two Text;src:url(./STIXTwoText-BoldItalic-BaPrBbwk.otf);font-weight:700;font-style:italic;font-display:swap}@font-face{font-family:CMU Serif;src:url(./CMUSerif-Roman-BegN6iI1.woff2)format("woff2");font-weight:400;font-style:normal;font-display:swap}@font-face{font-family:CMU Serif;src:url(./CMUSerif-Bold-zqjMnQhJ.woff2)format("woff2");font-weight:700;font-style:normal;font-display:swap}@font-face{font-family:CMU Serif;src:url(./CMUSerif-Italic-CT-8kPyU.woff2)format("woff2");font-weight:400;font-style:italic;font-display:swap}:root{--bg:#2b2a2d;--sheet:#fff;--ink:#1a1a1a;--ink-soft:#6b6b6b;--line:#e4e2dd;--wash:#f6f5f2;--accent:#305c8a;--error:#a94438;--amber:#c98a1d;--glass:#17161acc;--glass-border:#ffffff14;--glass-ink:#f0eee9f2;--glass-ink-soft:#f0eee98c;--room-pane:#232226;--room-line:#ffffff12;--room-ink:#d8d6d1;--room-ink-soft:#8f8d88;--serif:"STIX Two Text", "Charter", "Georgia", serif;--prose:"CMU Serif", "Computer Modern Serif", "Georgia", serif;--mono:ui-monospace, "SF Mono", "Menlo", "Consolas", monospace;--sans:-apple-system, BlinkMacSystemFont, "Segoe UI", "Helvetica Neue", sans-serif}*{box-sizing:border-box}html,body{height:100%;margin:0}html{overscroll-behavior-x:none;overflow:auto hidden}body{background:var(--bg);min-width:fit-content;color:var(--ink);font:15px/1.55 var(--sans);position:relative}#toolbar{z-index:10;justify-content:center;align-items:center;gap:5px;height:60px;padding:0 14px;display:flex;position:absolute;top:0;left:0;right:0}body:not([data-plain=true]):has(#panel:not([hidden])) #toolbar{padding-right:364px}.tb-pod{background:var(--glass);-webkit-backdrop-filter:blur(12px);border:1px solid var(--glass-border);border-radius:12px;align-items:center;gap:2px;height:42px;padding:0 6px;display:inline-flex}.tb-pod.doc-pod{border-radius:21px 12px 12px 21px;gap:9px;padding:0 10px 0 16px}#toolbar>.tb-pod:last-child{border-radius:12px 21px 21px 12px}#toolbar .name{font:15px/1.5 var(--serif);letter-spacing:.09em;color:#fcfcfbcc;white-space:nowrap;text-overflow:ellipsis;max-width:40ch;overflow:hidden}#toolbar .dirty{color:var(--amber);font-size:9px}.tb-btn{color:#f0eee9e6;cursor:pointer;opacity:.4;background:0 0;border:0;border-radius:8px;justify-content:center;align-items:center;min-width:32px;height:32px;padding:0 6px;transition:opacity .25s,background .12s,color .12s;display:inline-flex}#toolbar:hover .tb-btn{opacity:1}.tb-btn:hover{background:#ffffff1f}.tb-btn[hidden]{display:none}.file-menu.get-menu{color:#2c2b29;width:min(460px,100vw - 16px);font:12.5px/1.5 var(--sans);padding:14px 16px 16px}.get-menu h2{font:500 15px var(--sans);margin:0 0 4px}.get-menu h3{font:500 12px var(--sans);color:#5a5955;margin:14px 0 2px}.get-menu p{margin:0 0 8px}.get-menu .get-note{color:#5a5955;font-size:11.5px}.get-menu .get-download{color:#fbfaf8;font:500 13px var(--sans);background:#2c2b29;border-radius:8px;align-items:center;gap:8px;margin:4px 0 8px;padding:8px 14px;text-decoration:none;display:inline-flex}.get-menu .get-download .ico{width:17px;height:17px}.get-menu .get-download:hover{background:#454340}.get-menu .command-row{margin-top:6px}.tb-btn .ico{width:19px;height:19px;display:block}.tb-btn{position:relative}.lbl{font:11px var(--sans);color:#2c2b29;-webkit-backdrop-filter:blur(12px);white-space:nowrap;opacity:0;pointer-events:none;z-index:20;background:#fbfaf8eb;border:1px solid #00000014;border-radius:5px;padding:2px 8px;transition:opacity .16s;position:absolute;box-shadow:0 6px 18px #0000004d}.tb-btn .lbl,.insert-actions button .lbl{top:calc(100% + 6px);left:50%;transform:translate(-50%)}:is(.tb-btn,.insert-actions button):is(:hover,:focus-visible)>.lbl{opacity:1}#toolbar>*{position:relative}#toolbar>:hover,#toolbar>:focus-within{z-index:20}.tb-flyout-wrap{display:inline-flex;position:relative}.tb-flyout{-webkit-backdrop-filter:blur(14px);opacity:0;visibility:hidden;z-index:30;background:#3a3840f0;border:1px solid #ffffff24;border-radius:999px;align-items:center;gap:2px;padding:5px 8px;transition:opacity .14s;display:flex;position:absolute;top:50%;left:50%;transform:translate(-50%,-50%);box-shadow:0 5px 18px #00000073}.tb-flyout .tb-btn{opacity:1;min-width:40px;height:40px;padding:0 8px}.tb-flyout .tb-btn .ico{width:22px;height:22px}.tb-flyout-wrap:hover .tb-flyout,.tb-flyout-wrap:focus-within .tb-flyout{opacity:1;visibility:visible}#toolbar .rename{font:15px/1.5 var(--serif);letter-spacing:.09em;color:#fcfcfbf2;background:0 0;border:0;border-bottom:1px solid #ffffff4d;outline:none;width:16ch;padding:0}#toolbar .name{cursor:text;border-radius:5px;padding:1px 4px}#toolbar .name:hover{color:#fff}#kernel-status{font:12px/1 var(--sans);color:var(--glass-ink-soft);white-space:nowrap;padding:0 10px}#kernel-status.ok:before{content:"● ";color:#6ea576}#kernel-status.working:before,#toast.working:before{content:"";vertical-align:-1px;border:1.6px solid #f0eee94d;border-top-color:#f0eee9f2;border-radius:50%;width:9px;height:9px;margin-right:7px;animation:.8s linear infinite knuth-turn;display:inline-block}@keyframes knuth-turn{to{transform:rotate(360deg)}}.packages-summary{width:100%;color:var(--glass-ink-soft);font:12px/1.4 var(--sans);text-align:left;cursor:pointer;background:0 0;border:1px dashed #ffffff1f;border-radius:10px;align-items:baseline;gap:8px;margin:0 0 6px;padding:6px 12px;display:flex}.packages-summary[hidden]{display:none}.packages-summary:hover{color:var(--glass-ink);border-color:#ffffff3d}.packages-summary .chevron{width:10px}.packages-summary .label{font-weight:500}.packages-summary .list{font-family:var(--mono);text-overflow:ellipsis;white-space:nowrap;font-size:11.5px;overflow:hidden}.packages-folded>.cell{display:none}@media (prefers-reduced-motion:reduce){#kernel-status.working:before,#toast.working:before,.cell.running .run:after,.cell.working .run:after{animation:none}}#kernel-status.bad:before{content:"● ";color:#cd6452}#install-app{font:11px/1 var(--sans);color:var(--glass-ink);border:1px solid var(--glass-border);cursor:pointer;background:#ffffff14;border-radius:999px;padding:.4rem .7rem}#install-app:hover{background:#ffffff26}#install-app[hidden]{display:none}#onboarding{z-index:9;background:color-mix(in srgb, var(--bg) 88%, transparent);-webkit-backdrop-filter:blur(8px);color:var(--room-ink);place-items:start center;padding:2rem 1.5rem 5rem;display:grid;position:fixed;inset:60px 0 0;overflow:auto}#onboarding[hidden]{display:none}.onboarding-card{border:1px solid var(--glass-border);background:#201f23;border-radius:18px;width:min(680px,100vw - 3rem);min-width:560px;overflow:hidden;box-shadow:0 24px 70px #0000006b}.onboarding-head{border-bottom:1px solid var(--room-line);align-items:flex-start;gap:1.5rem;padding:1.6rem 1.75rem 1.35rem;display:flex}.onboarding-head>div{flex:1}.onboarding-kicker{color:#9db8d6;font:10px/1.3 var(--sans);letter-spacing:.14em;text-transform:uppercase;margin-bottom:.4rem}.onboarding-head h1{color:var(--glass-ink);font:600 22px/1.25 var(--serif);margin:0}.onboarding-head p{color:var(--room-ink-soft);margin:.45rem 0 0;font-size:13px}.onboarding-dismiss{color:var(--room-ink-soft);cursor:pointer;background:0 0;border:0;border-radius:6px;padding:.15rem .35rem;font-size:22px;line-height:1}.onboarding-dismiss:hover{color:var(--room-ink);background:#ffffff12}.onboarding-platforms{border-bottom:1px solid var(--room-line);gap:.25rem;padding:.85rem 1.75rem;display:flex}.onboarding-platforms button{color:var(--room-ink-soft);font:12px var(--sans);cursor:pointer;background:0 0;border:1px solid #0000;border-radius:999px;padding:.35rem .8rem}.onboarding-platforms button:hover{color:var(--room-ink)}.onboarding-platforms button.selected{color:var(--glass-ink);border-color:var(--glass-border);background:#ffffff14}.onboarding-step{border-bottom:1px solid var(--room-line);grid-template-columns:28px minmax(0,1fr);gap:.85rem;padding:1.2rem 1.75rem;display:grid}.onboarding-step .step-number{color:#9db8d6;border:1px solid var(--room-line);width:25px;height:25px;font:11px var(--sans);border-radius:50%;align-self:start;place-items:center;display:grid}.onboarding-step h2{color:var(--glass-ink);font:600 14px/1.4 var(--sans);margin:.1rem 0 .2rem}.onboarding-step h2 span{color:var(--room-ink-soft);font-size:11px;font-weight:400}.onboarding-step p{color:var(--room-ink-soft);margin:0 0 .7rem;font-size:12px}.command-row{border:1px solid var(--room-line);background:#141316;border-radius:8px;align-items:stretch;min-width:0;display:flex;overflow:hidden}.command-row code{color:#d5d2cc;min-width:0;font:11.5px/1.5 var(--mono);white-space:nowrap;flex:1;padding:.62rem .75rem;overflow-x:auto}.command-copy{color:var(--room-ink);border:0;border-left:1px solid var(--room-line);font:11px var(--sans);cursor:pointer;background:#ffffff0a;padding:0 .8rem}.command-copy:hover{background:#ffffff1a}.onboarding-step details{margin-top:.55rem}.onboarding-step summary{color:var(--room-ink-soft);cursor:pointer;font-size:11px}.onboarding-step summary code{font:inherit}.command-row-secondary{margin-top:.45rem}#onboarding-install,#manual-pair{color:var(--glass-ink);border:1px solid var(--glass-border);font:11px var(--sans);cursor:pointer;background:#ffffff14;border-radius:999px;padding:.4rem .8rem}#onboarding-install:hover,#manual-pair:hover{background:#ffffff24}#onboarding-install[hidden]{display:none}.onboarding-foot{color:var(--room-ink-soft);padding:.9rem 1.75rem;font-size:11px}.onboarding-foot code{color:var(--room-ink);font-family:var(--mono)}.onboarding-foot #manual-pair{float:right;margin:-.25rem 0 -.25rem 1rem}#layout{align-items:stretch;height:100vh;display:flex}#doc{flex:1;min-width:640px;padding:calc(60px + 1.5rem) 1.5rem 40vh 1rem;overflow:hidden auto;container-type:inline-size}#sheet{max-width:52rem;margin:0 auto}.file-menu{z-index:100;-webkit-backdrop-filter:blur(18px)saturate(140%);background:#fbfaf8eb;border:1px solid #00000014;border-radius:16px;flex-direction:column;width:240px;padding:6px;display:flex;position:fixed;box-shadow:0 2px 6px #00000059,0 18px 50px #00000073}.file-menu-item{font:13px var(--sans);color:#2c2b29;cursor:pointer;text-align:left;white-space:nowrap;text-overflow:ellipsis;background:0 0;border:none;border-radius:10px;justify-content:space-between;align-items:center;gap:12px;width:100%;padding:6px 10px;display:flex;overflow:hidden}.file-menu-item:hover{background:#00000012}.file-menu-empty{font:12px var(--sans);color:#85837e;padding:6px 10px}.cell{padding:.2rem 0;display:flex;position:relative}.cell .cm-gutters{position:relative}.cell .run-num{visibility:hidden}body[data-view=source] .cell .run-num{visibility:visible}.cell .run{color:#6ea576;cursor:pointer;z-index:3;background:#2b2f37;border:0;border-top-left-radius:7px;border-bottom-left-radius:7px;height:min(.5rem + 37.8px,100%);padding:0;font-size:13px;transition:color .12s;position:absolute;top:0;left:0;right:0}.cell .run:before{content:"▶";border-bottom:1px solid #ffffff14;justify-content:center;align-items:center;height:calc(1rem + 18.9px);transition:background .12s;display:flex;position:absolute;top:0;left:0;right:0}.cell.running .run:before,.cell.working .run:before{content:""}.cell.running .run:after,.cell.working .run:after{content:"";border:1.6px solid #6ea5764d;border-top-color:#6ea576;border-radius:50%;width:11px;height:11px;margin:-6px 0 0 -6px;animation:.8s linear infinite knuth-turn;position:absolute;top:calc(.5rem + 9.45px);left:50%}.cell.running .run:hover:before{content:"■"}.cell.running .run:hover:after{display:none}.cell.working .run{cursor:default}.cell .run:hover{color:#8fc79a}.cell .run:hover:before{background:#ffffff0b}.cell.running .run:hover{color:#cd6452}.cell.kind-scratch .run{background:var(--bg)}.cell .body{flex:1;min-width:0}.cell.armed{outline-offset:3px;border-radius:8px;outline:1px dashed #9db8d680}.cell .cm-editor{border:1px solid #ffffff12;border-radius:8px;font-size:13.5px}.cell .cm-editor.cm-focused{border-color:#9db8d673;outline:none}.cell .cm-gutters{color:#f0eee947;background:#ffffff06;border-right:1px solid #ffffff0f}.cell .cm-lineNumbers .cm-gutterElement{min-width:2.25rem;padding:0 .35rem 0 .3rem}.cell .cm-foldGutter .cm-gutterElement{color:#f0eee940;cursor:pointer;padding:0 .2rem 0 0}.cell .cm-indent-markers:before{left:calc(.75rem + 3ch)}.cell .cm-foldGutter .cm-gutterElement:hover{color:#f0eee9a6}.cell .cm-foldPlaceholder{color:#f0eee980;background:#ffffff0f;border:0;border-radius:4px;margin:0 4px;padding:0 6px}.cell .cm-content{font-family:var(--mono);margin-left:.15rem;padding:.5rem 0}.cell .cm-line{padding:0 .75rem}.cell.kind-scratch .cm-editor{background:0 0;border-style:dashed}.cell.kind-scratch .cm-editor .cm-gutters{background:0 0}.scratch-label{letter-spacing:.08em;text-transform:uppercase;color:var(--room-ink-soft);margin-bottom:.15rem;font-size:10px;display:none}.cell.kind-scratch .scratch-label{display:block}.cell.stale .cm-gutters{border-right-color:var(--amber)}.cell.kind-text .ProseMirror{font:18px/1.55 var(--prose);color:var(--room-ink);caret-color:#fff;background:0 0;border:0;outline:none;padding:4px .75rem;position:relative}.cell.kind-text .ProseMirror:before,.cell.kind-text .ProseMirror:after{content:"";pointer-events:none;background:0 0;border-radius:1px;width:28px;height:2px;transition:background .15s;position:absolute;left:calc(.75rem + 1px)}.cell.kind-text .ProseMirror:before{top:0}.cell.kind-text .ProseMirror:after{bottom:0}.cell.kind-text:hover .ProseMirror:before,.cell.kind-text:hover .ProseMirror:after{background:#ffffff29}.cell.kind-text:focus-within .ProseMirror:before,.cell.kind-text:focus-within .ProseMirror:after{background:#9db8d673}.cell.kind-text .ProseMirror>:first-child{margin-top:0}.cell.kind-text .ProseMirror>:last-child{margin-bottom:0}.cell.kind-text .ProseMirror p{margin:.6em 0}.cell.kind-text .ProseMirror h1,.cell.kind-text .ProseMirror h2,.cell.kind-text .ProseMirror h3,.cell.kind-text .ProseMirror h4,.cell.kind-text .ProseMirror h5,.cell.kind-text .ProseMirror h6{color:#f0eee9;margin:.9em 0 .35em;font-weight:400;line-height:1.3}.cell.kind-text .ProseMirror h1{font-size:1.6em}.cell.kind-text .ProseMirror h2{font-size:1.35em}.cell.kind-text .ProseMirror h3{font-size:1.15em}.cell.kind-text .ProseMirror h4,.cell.kind-text .ProseMirror h5,.cell.kind-text .ProseMirror h6{font-size:1em}.cell.kind-text .ProseMirror a{color:#9db8d6;text-decoration-color:#9db8d673}.cell.kind-text .ProseMirror a:hover{text-decoration-color:currentColor}.cell.kind-text .ProseMirror code{font-family:var(--mono);background:#ffffff14;border-radius:3px;padding:.1em .35em;font-size:.87em}.cell.kind-text .ProseMirror pre{background:#ffffff0f;border-radius:6px;padding:.6em .75em;overflow-x:auto}.cell.kind-text .ProseMirror pre code{background:0 0;padding:0}.cell.kind-text .ProseMirror ul,.cell.kind-text .ProseMirror ol{margin:.5em 0;padding-left:1.4em}.cell.kind-text .ProseMirror li{margin:.2em 0}.cell.kind-text .ProseMirror blockquote{border-left:3px solid var(--room-line);color:var(--room-ink-soft);margin:.6em 0;padding:.1em 0 .1em .85em}.cell.kind-text .ProseMirror hr{border:0;border-top:1px solid var(--room-line);margin:1em 0}.cell.kind-text .ProseMirror .katex{color:inherit}.cell.kind-text .ProseMirror [data-placeholder]:before{content:attr(data-placeholder);float:left;height:0;color:var(--room-ink-soft);pointer-events:none;font-style:italic}.cell.kind-text .ProseMirror .math-inline,.cell.kind-text .ProseMirror .math-display{cursor:pointer}.cell.kind-text .ProseMirror .math-selected{border-radius:3px;outline:2px solid #9db8d68c}.cell.kind-text .ProseMirror .math-placeholder{color:var(--room-ink-soft);font-style:italic}.math-editor{z-index:10;background:#2b2f37;border:1px solid #ffffff1f;border-radius:8px;padding:.5rem;position:absolute;box-shadow:0 8px 24px #00000059}.math-editor-preview{min-height:1.4em;color:var(--room-ink);margin-bottom:.4rem}.math-editor-input{width:22em;font-family:var(--mono);color:var(--room-ink);resize:vertical;background:#ffffff0d;border:1px solid #ffffff1f;border-radius:4px;padding:.3em .45em;font-size:13px;display:block}.cell .cell-figures{flex-direction:column;gap:.5rem;margin:.45rem 0 0;display:flex}.cell .cell-figures[hidden]{display:none}.cell .cell-figures .figure{background:#fff;border-radius:6px;align-self:flex-start;max-width:100%;padding:.5rem;overflow:hidden;box-shadow:0 1px 3px #0006}.cell .cell-figures .figure img{max-width:100%;height:auto;display:block}.cell .output{font:12.5px/1.5 var(--mono);white-space:pre-wrap;color:#b5b3ae;background:0 0;border-left:3px solid #ffffff24;margin:.35rem 0 0;padding:.45rem .75rem;overflow-x:auto}.cell .output.error{color:#cd6452;border-left-color:#cd6452}.insert-zone{opacity:0;justify-content:center;align-items:center;height:22px;padding-left:2.2rem;transition:opacity .12s;display:flex;position:relative}.insert-zone:hover{opacity:1}.insert-zone:before{content:"";border-top:1px solid #9db8d640;position:absolute;top:50%;left:2.2rem;right:0}.insert-actions{-webkit-backdrop-filter:blur(14px);background:#3a3840f0;border:1px solid #ffffff24;border-radius:999px;align-items:center;gap:2px;padding:2px 5px;display:inline-flex;position:relative;box-shadow:0 5px 18px #00000073}.insert-actions button{color:#f0eee9bf;cursor:pointer;background:0 0;border:0;border-radius:999px;justify-content:center;align-items:center;width:24px;height:18px;display:inline-flex;position:relative}.insert-actions button:hover{color:#fff;background:#ffffff1f}.insert-actions .ico{width:13px;height:13px;display:block}#panel{background:var(--bg);color:var(--room-ink);flex-direction:column;flex:0 0 350px;gap:.7rem;padding:calc(60px + .7rem) .7rem .7rem;display:flex;overflow:hidden}#panel[hidden]{display:none}#panel .pane{background:#ffffff06;border:1px solid #ffffff0f;border-radius:8px;flex-direction:column;min-height:0;display:flex;overflow:hidden}#panel .pane[hidden]{display:none}#panel .pane.vars{flex:0 auto;max-height:45%;overflow-y:auto}#panel .pane.viewer{flex:0 auto;max-height:55%}.pane-title{letter-spacing:.14em;text-transform:uppercase;color:var(--room-ink-soft);background:#ffffff05;padding:.55rem .7rem .45rem;font-size:10.5px}.pane-empty{color:var(--room-ink-soft);padding:.45rem .7rem;font-size:12.5px}.vars-table{border-collapse:collapse;width:100%;font:12.5px/1.5 var(--mono)}.vars-table td{vertical-align:top;padding:.2rem .4rem}.vars-table tr+tr td{border-top:1px solid #ffffff0b}.vars-table td:first-child{padding-left:.7rem}.vars-table .v-name{white-space:nowrap;color:var(--room-ink);font-weight:600}.vars-table .v-type{color:var(--room-ink-soft);white-space:nowrap}.vars-table .v-preview{color:var(--room-ink-soft);text-overflow:ellipsis;white-space:nowrap;width:100%;max-width:0;overflow:hidden}.vars-table tr.scratch .v-name{font-style:italic;font-weight:400}.vars-table tr.viewable{cursor:pointer}.vars-table tr.viewable:hover{background:#ffffff0d}.vars-table tr.viewable .v-name{color:#9db8d6}.viewer-head{justify-content:space-between;align-items:center;display:flex}.viewer-head button{color:var(--room-ink-soft);cursor:pointer;background:0 0;border:0;font-size:12px}.viewer-head button:hover{color:var(--room-ink)}.viewer-scroll{flex:1;overflow:auto}#panel .viewer-scroll .figure{background:#fff;border-radius:6px;margin:.25rem .7rem .7rem;padding:.5rem;box-shadow:0 1px 3px #0006}#panel .viewer-scroll .figure img{max-width:100%;height:auto;display:block}.data-table{border-collapse:collapse;font:12px/1.45 var(--mono);color:var(--room-ink)}.data-table th,.data-table td{white-space:nowrap;text-align:right;border-bottom:1px solid #ffffff0b;padding:.16rem .55rem}.data-table thead th{color:var(--room-ink-soft);z-index:1;background:#232226;font-weight:600;position:sticky;top:0}.data-table tbody th{color:var(--room-ink-soft);text-align:left;font-weight:400}.viewer-foot{color:var(--room-ink-soft);padding:.4rem .7rem;font-size:12px}.viewer-foot button{font:12px/1 var(--sans);border:1px solid var(--room-line);color:var(--room-ink);cursor:pointer;background:0 0;border-radius:999px;padding:.25rem .7rem}.viewer-foot button:hover{background:#ffffff12}#toast{background:var(--glass);-webkit-backdrop-filter:blur(12px);border:1px solid var(--glass-border);color:var(--glass-ink);z-index:20;text-align:center;overflow-wrap:anywhere;border-radius:1.1rem;width:max-content;max-width:min(40rem,100vw - 2rem);padding:.45rem .95rem;font-size:13px;position:fixed;bottom:1.25rem;left:50%;transform:translate(-50%)}#toast button{font:12px var(--sans);color:#2c2b29;cursor:pointer;background:#fbfaf8eb;border:0;border-radius:999px;margin-left:.5rem;padding:.25rem .7rem}#toast button:hover{background:#fff}body[data-view=source] .run,body[data-view=source] .badge,body[data-view=source] .insert-zone,body[data-view=source] .output,body[data-view=source] .cell-figures,body[data-view=source] #panel,body[data-view=source] #toggle-panel,body[data-view=source] #cells-pod,body[data-view=source] #run-pod,body[data-view=source] #run-stale,body[data-view=source] #run-all,body[data-view=source] #stop,body[data-view=source] #restart{display:none}body[data-view=source] .gutter{min-width:0}body[data-view=source] #sheet{max-width:none}body[data-view=source] #toolbar{display:none}body[data-view=source]{background:#282c34}body[data-view=source] #doc{min-width:0;padding:0 0 40vh}body[data-view=source] .cell{padding:0}body[data-view=source] .cell .cm-lineNumbers .cm-gutterElement{padding-left:2px}body[data-view=source] .cell .cm-editor{border:0;border-radius:0}body[data-view=source] .cell.stale .cm-gutters{border-right-color:#ffffff0f}#view-toggle{z-index:60;background:var(--glass);-webkit-backdrop-filter:blur(12px);border:1px solid var(--glass-border);color:#f0eee9e6;cursor:pointer;opacity:.45;border-radius:999px;align-items:center;gap:6px;height:32px;padding:0 12px;font-size:12px;transition:opacity .25s,background .12s;display:none;position:fixed;top:14px;right:12px}body[data-view=source][data-cells=true] #view-toggle,body:not([data-view=source]) #view-toggle{display:inline-flex}#view-toggle:hover{opacity:1;background:#ffffff1f}#view-toggle .ico{width:16px;height:16px;display:block}#view-toggle .lbl-source,body:not([data-view=source]) #view-toggle .lbl-cells{display:none}body:not([data-view=source]) #view-toggle .lbl-source{display:inline}body[data-view=grid] #toolbar,body[data-view=grid] #panel,body[data-view=grid] #toggle-panel,body[data-view=grid] .insert-zone{display:none}body[data-view=grid]{background:#282c34}body[data-view=grid] #sheet{max-width:none;height:100%}body[data-view=grid] #doc{min-width:0;padding:0;overflow:hidden}.grid-pager:not([hidden]){z-index:4;color:#abb2bf;width:fit-content;font:12px var(--sans);background:#282c34;align-items:center;gap:12px;padding:8px;display:flex;position:sticky;top:0;left:0}.grid-pager button{color:inherit;cursor:pointer;background:#21252b;border:1px solid #444953;border-radius:4px;padding:4px 8px}.grid-pager button:disabled{opacity:.4;cursor:default}.grid-scroll{contain:inline-size;height:100%;overflow:auto}.grid{border-collapse:separate;border-spacing:0;font:13px/1.45 var(--mono);color:#abb2bf;margin-bottom:40vh}.grid th.rn,.grid td{white-space:pre;text-align:left;vertical-align:top;border-bottom:1px solid #ffffff0f;border-right:1px solid #ffffff0f;padding:3px 10px}.grid th.rn{z-index:2;color:#636d83;text-align:right;-webkit-user-select:none;user-select:none;background:#21252b;min-width:3.5ch;font-weight:400;position:sticky;left:0}.grid td{text-overflow:ellipsis;cursor:cell;outline:none;min-width:6ch;max-width:48ch;overflow:hidden}.grid td:focus{box-shadow:inset 0 0 0 2px #61afef}.grid td.editing{white-space:pre-wrap;text-overflow:clip;color:#dcdfe4;cursor:text;background:#2c313a;max-width:none;overflow:visible;box-shadow:inset 0 0 0 2px #61afef}body[data-view=grid] #view-toggle,body[data-view=source][data-grid=true] #view-toggle{display:inline-flex}#view-toggle .lbl-grid,body[data-view=source][data-grid=true] #view-toggle .lbl-cells{display:none}body[data-view=source][data-grid=true] #view-toggle .lbl-grid,body[data-view=grid] #view-toggle .lbl-source{display:inline}@font-face{font-display:block;font-family:KaTeX_AMS;font-style:normal;font-weight:400;src:url(./KaTeX_AMS-Regular-BQhdFMY1.woff2)format("woff2"),url(./KaTeX_AMS-Regular-DMm9YOAa.woff)format("woff"),url(./KaTeX_AMS-Regular-DRggAlZN.ttf)format("truetype")}@font-face{font-display:block;font-family:KaTeX_Caligraphic;font-style:normal;font-weight:700;src:url(./KaTeX_Caligraphic-Bold-Dq_IR9rO.woff2)format("woff2"),url(./KaTeX_Caligraphic-Bold-BEiXGLvX.woff)format("woff"),url(./KaTeX_Caligraphic-Bold-ATXxdsX0.ttf)format("truetype")}@font-face{font-display:block;font-family:KaTeX_Caligraphic;font-style:normal;font-weight:400;src:url(./KaTeX_Caligraphic-Regular-Di6jR-x-.woff2)format("woff2"),url(./KaTeX_Caligraphic-Regular-CTRA-rTL.woff)format("woff"),url(./KaTeX_Caligraphic-Regular-wX97UBjC.ttf)format("truetype")}@font-face{font-display:block;font-family:KaTeX_Fraktur;font-style:normal;font-weight:700;src:url(./KaTeX_Fraktur-Bold-CL6g_b3V.woff2)format("woff2"),url(./KaTeX_Fraktur-Bold-BsDP51OF.woff)format("woff"),url(./KaTeX_Fraktur-Bold-BdnERNNW.ttf)format("truetype")}@font-face{font-display:block;font-family:KaTeX_Fraktur;font-style:normal;font-weight:400;src:url(./KaTeX_Fraktur-Regular-CTYiF6lA.woff2)format("woff2"),url(./KaTeX_Fraktur-Regular-Dxdc4cR9.woff)format("woff"),url(./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(./KaTeX_Main-Bold-Cx986IdX.woff2)format("woff2"),url(./KaTeX_Main-Bold-Jm3AIy58.woff)format("woff"),url(./KaTeX_Main-Bold-waoOVXN0.ttf)format("truetype")}@font-face{font-display:block;font-family:KaTeX_Main;font-style:italic;font-weight:700;src:url(./KaTeX_Main-BoldItalic-DxDJ3AOS.woff2)format("woff2"),url(./KaTeX_Main-BoldItalic-SpSLRI95.woff)format("woff"),url(./KaTeX_Main-BoldItalic-DzxPMmG6.ttf)format("truetype")}@font-face{font-display:block;font-family:KaTeX_Main;font-style:italic;font-weight:400;src:url(./KaTeX_Main-Italic-NWA7e6Wa.woff2)format("woff2"),url(./KaTeX_Main-Italic-BMLOBm91.woff)format("woff"),url(./KaTeX_Main-Italic-3WenGoN9.ttf)format("truetype")}@font-face{font-display:block;font-family:KaTeX_Main;font-style:normal;font-weight:400;src:url(./KaTeX_Main-Regular-B22Nviop.woff2)format("woff2"),url(./KaTeX_Main-Regular-Dr94JaBh.woff)format("woff"),url(./KaTeX_Main-Regular-ypZvNtVU.ttf)format("truetype")}@font-face{font-display:block;font-family:KaTeX_Math;font-style:italic;font-weight:700;src:url(./KaTeX_Math-BoldItalic-CZnvNsCZ.woff2)format("woff2"),url(./KaTeX_Math-BoldItalic-iY-2wyZ7.woff)format("woff"),url(./KaTeX_Math-BoldItalic-B3XSjfu4.ttf)format("truetype")}@font-face{font-display:block;font-family:KaTeX_Math;font-style:italic;font-weight:400;src:url(./KaTeX_Math-Italic-t53AETM-.woff2)format("woff2"),url(./KaTeX_Math-Italic-DA0__PXp.woff)format("woff"),url(./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(./KaTeX_SansSerif-Bold-D1sUS0GD.woff2)format("woff2"),url(./KaTeX_SansSerif-Bold-DbIhKOiC.woff)format("woff"),url(./KaTeX_SansSerif-Bold-CFMepnvq.ttf)format("truetype")}@font-face{font-display:block;font-family:KaTeX_SansSerif;font-style:italic;font-weight:400;src:url(./KaTeX_SansSerif-Italic-C3H0VqGB.woff2)format("woff2"),url(./KaTeX_SansSerif-Italic-DN2j7dab.woff)format("woff"),url(./KaTeX_SansSerif-Italic-YYjJ1zSn.ttf)format("truetype")}@font-face{font-display:block;font-family:KaTeX_SansSerif;font-style:normal;font-weight:400;src:url(./KaTeX_SansSerif-Regular-DDBCnlJ7.woff2)format("woff2"),url(./KaTeX_SansSerif-Regular-CS6fqUqJ.woff)format("woff"),url(./KaTeX_SansSerif-Regular-BNo7hRIc.ttf)format("truetype")}@font-face{font-display:block;font-family:KaTeX_Script;font-style:normal;font-weight:400;src:url(./KaTeX_Script-Regular-D3wIWfF6.woff2)format("woff2"),url(./KaTeX_Script-Regular-D5yQViql.woff)format("woff"),url(./KaTeX_Script-Regular-C5JkGWo-.ttf)format("truetype")}@font-face{font-display:block;font-family:KaTeX_Size1;font-style:normal;font-weight:400;src:url(./KaTeX_Size1-Regular-mCD8mA8B.woff2)format("woff2"),url(./KaTeX_Size1-Regular-C195tn64.woff)format("woff"),url(./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(./KaTeX_Size2-Regular-Dy4dx90m.woff2)format("woff2"),url(./KaTeX_Size2-Regular-oD1tc_U0.woff)format("woff"),url(./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(./KaTeX_Size3-Regular-CTq5MqoE.woff)format("woff"),url(./KaTeX_Size3-Regular-DgpXs0kz.ttf)format("truetype")}@font-face{font-display:block;font-family:KaTeX_Size4;font-style:normal;font-weight:400;src:url(./KaTeX_Size4-Regular-Dl5lxZxV.woff2)format("woff2"),url(./KaTeX_Size4-Regular-BF-4gkZK.woff)format("woff"),url(./KaTeX_Size4-Regular-DWFBv043.ttf)format("truetype")}@font-face{font-display:block;font-family:KaTeX_Typewriter;font-style:normal;font-weight:400;src:url(./KaTeX_Typewriter-Regular-CO6r4hn1.woff2)format("woff2"),url(./KaTeX_Typewriter-Regular-C0xS9mPB.woff)format("woff"),url(./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:"0.18.4"}.katex .katex-mathml{clip-path:inset(50%);border:0;width:1px;height:1px;padding:0;position:absolute;overflow:hidden}.katex .katex-html>.katex-newline{display:block}.katex .katex-base{white-space:nowrap;width:min-content;position:relative}.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;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 .katex-vbox{flex-direction:column;align-items:baseline;display:inline-flex}.katex .katex-thinbox{flex-direction:row;width:0;max-width:0;display:inline-flex}.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 .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{line-height:0;display:inline}.katex .clap,.katex .llap,.katex .rlap{width:0;position:relative}.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;width:100%;display:inline-block}.katex .katex-hdashline{border-bottom-style:dashed;width:100%;display:inline-block}.katex .sqrt>.katex-root{margin-left:.277778em;margin-right:-.555556em}.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:.833333em}.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:1.16667em}.katex .fontsize-ensurer.reset-size2.size4,.katex .katex-sizing.reset-size2.size4{font-size:1.33333em}.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:1.66667em}.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:3.45667em}.katex .fontsize-ensurer.reset-size2.size11,.katex .katex-sizing.reset-size2.size11{font-size:4.14667em}.katex .fontsize-ensurer.reset-size3.size1,.katex .katex-sizing.reset-size3.size1{font-size:.714286em}.katex .fontsize-ensurer.reset-size3.size2,.katex .katex-sizing.reset-size3.size2{font-size:.857143em}.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:1.14286em}.katex .fontsize-ensurer.reset-size3.size5,.katex .katex-sizing.reset-size3.size5{font-size:1.28571em}.katex .fontsize-ensurer.reset-size3.size6,.katex .katex-sizing.reset-size3.size6{font-size:1.42857em}.katex .fontsize-ensurer.reset-size3.size7,.katex .katex-sizing.reset-size3.size7{font-size:1.71429em}.katex .fontsize-ensurer.reset-size3.size8,.katex .katex-sizing.reset-size3.size8{font-size:2.05714em}.katex .fontsize-ensurer.reset-size3.size9,.katex .katex-sizing.reset-size3.size9{font-size:2.46857em}.katex .fontsize-ensurer.reset-size3.size10,.katex .katex-sizing.reset-size3.size10{font-size:2.96286em}.katex .fontsize-ensurer.reset-size3.size11,.katex .katex-sizing.reset-size3.size11{font-size:3.55429em}.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:.555556em}.katex .fontsize-ensurer.reset-size5.size2,.katex .katex-sizing.reset-size5.size2{font-size:.666667em}.katex .fontsize-ensurer.reset-size5.size3,.katex .katex-sizing.reset-size5.size3{font-size:.777778em}.katex .fontsize-ensurer.reset-size5.size4,.katex .katex-sizing.reset-size5.size4{font-size:.888889em}.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:1.11111em}.katex .fontsize-ensurer.reset-size5.size7,.katex .katex-sizing.reset-size5.size7{font-size:1.33333em}.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:2.30444em}.katex .fontsize-ensurer.reset-size5.size11,.katex .katex-sizing.reset-size5.size11{font-size:2.76444em}.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:.416667em}.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:.583333em}.katex .fontsize-ensurer.reset-size7.size4,.katex .katex-sizing.reset-size7.size4{font-size:.666667em}.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:.833333em}.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:1.72833em}.katex .fontsize-ensurer.reset-size7.size11,.katex .katex-sizing.reset-size7.size11{font-size:2.07333em}.katex .fontsize-ensurer.reset-size8.size1,.katex .katex-sizing.reset-size8.size1{font-size:.347222em}.katex .fontsize-ensurer.reset-size8.size2,.katex .katex-sizing.reset-size8.size2{font-size:.416667em}.katex .fontsize-ensurer.reset-size8.size3,.katex .katex-sizing.reset-size8.size3{font-size:.486111em}.katex .fontsize-ensurer.reset-size8.size4,.katex .katex-sizing.reset-size8.size4{font-size:.555556em}.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:.694444em}.katex .fontsize-ensurer.reset-size8.size7,.katex .katex-sizing.reset-size8.size7{font-size:.833333em}.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:1.44028em}.katex .fontsize-ensurer.reset-size8.size11,.katex .katex-sizing.reset-size8.size11{font-size:1.72778em}.katex .fontsize-ensurer.reset-size9.size1,.katex .katex-sizing.reset-size9.size1{font-size:.289352em}.katex .fontsize-ensurer.reset-size9.size2,.katex .katex-sizing.reset-size9.size2{font-size:.347222em}.katex .fontsize-ensurer.reset-size9.size3,.katex .katex-sizing.reset-size9.size3{font-size:.405093em}.katex .fontsize-ensurer.reset-size9.size4,.katex .katex-sizing.reset-size9.size4{font-size:.462963em}.katex .fontsize-ensurer.reset-size9.size5,.katex .katex-sizing.reset-size9.size5{font-size:.520833em}.katex .fontsize-ensurer.reset-size9.size6,.katex .katex-sizing.reset-size9.size6{font-size:.578704em}.katex .fontsize-ensurer.reset-size9.size7,.katex .katex-sizing.reset-size9.size7{font-size:.694444em}.katex .fontsize-ensurer.reset-size9.size8,.katex .katex-sizing.reset-size9.size8{font-size:.833333em}.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:1.20023em}.katex .fontsize-ensurer.reset-size9.size11,.katex .katex-sizing.reset-size9.size11{font-size:1.43981em}.katex .fontsize-ensurer.reset-size10.size1,.katex .katex-sizing.reset-size10.size1{font-size:.24108em}.katex .fontsize-ensurer.reset-size10.size2,.katex .katex-sizing.reset-size10.size2{font-size:.289296em}.katex .fontsize-ensurer.reset-size10.size3,.katex .katex-sizing.reset-size10.size3{font-size:.337512em}.katex .fontsize-ensurer.reset-size10.size4,.katex .katex-sizing.reset-size10.size4{font-size:.385728em}.katex .fontsize-ensurer.reset-size10.size5,.katex .katex-sizing.reset-size10.size5{font-size:.433944em}.katex .fontsize-ensurer.reset-size10.size6,.katex .katex-sizing.reset-size10.size6{font-size:.48216em}.katex .fontsize-ensurer.reset-size10.size7,.katex .katex-sizing.reset-size10.size7{font-size:.578592em}.katex .fontsize-ensurer.reset-size10.size8,.katex .katex-sizing.reset-size10.size8{font-size:.694311em}.katex .fontsize-ensurer.reset-size10.size9,.katex .katex-sizing.reset-size10.size9{font-size:.833173em}.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:1.19961em}.katex .fontsize-ensurer.reset-size11.size1,.katex .katex-sizing.reset-size11.size1{font-size:.200965em}.katex .fontsize-ensurer.reset-size11.size2,.katex .katex-sizing.reset-size11.size2{font-size:.241158em}.katex .fontsize-ensurer.reset-size11.size3,.katex .katex-sizing.reset-size11.size3{font-size:.281351em}.katex .fontsize-ensurer.reset-size11.size4,.katex .katex-sizing.reset-size11.size4{font-size:.321543em}.katex .fontsize-ensurer.reset-size11.size5,.katex .katex-sizing.reset-size11.size5{font-size:.361736em}.katex .fontsize-ensurer.reset-size11.size6,.katex .katex-sizing.reset-size11.size6{font-size:.401929em}.katex .fontsize-ensurer.reset-size11.size7,.katex .katex-sizing.reset-size11.size7{font-size:.482315em}.katex .fontsize-ensurer.reset-size11.size8,.katex .katex-sizing.reset-size11.size8{font-size:.578778em}.katex .fontsize-ensurer.reset-size11.size9,.katex .katex-sizing.reset-size11.size9{font-size:.694534em}.katex .fontsize-ensurer.reset-size11.size10,.katex .katex-sizing.reset-size11.size10{font-size:.833601em}.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{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 .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{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 .katex-stretchy{width:100%;display:block;position:relative;overflow:hidden}.katex .katex-stretchy:after,.katex .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 .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>.katex-tag{position:absolute;right:0}.katex-display.leqno>.katex>.katex-html>.katex-tag{left:0;right:auto}.katex-display.fleqn>.katex{text-align:left;padding-left:2em}body{counter-reset:katexEqnNo mmlEqnNo}