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this.cssFontMap[t]||["serif",!1,!1]}getFamily(t){return this.cssFamilyPrefix?this.cssFamilyPrefix+", "+t:t}getRemappedChar(t,e){return(this.remapChars[t]||{})[e]}}Qt.OPTIONS={unknownFamily:"serif",dynamicPrefix:"."},Qt.JAX="common",Qt.NAME="",Qt.defaultVariants=[["normal"],["bold","normal"],["italic","normal"],["bold-italic","italic","bold"],["double-struck","bold"],["fraktur","normal"],["bold-fraktur","bold","fraktur"],["script","italic"],["bold-script","bold-italic","script"],["sans-serif","normal"],["bold-sans-serif","bold","sans-serif"],["sans-serif-italic","italic","sans-serif"],["sans-serif-bold-italic","bold-italic","bold-sans-serif"],["monospace","normal"],["-smallop","normal"],["-largeop","normal"],["-tex-calligraphic","italic"],["-tex-bold-calligraphic","bold-italic"],["-tex-oldstyle","normal"],["-tex-bold-oldstyle","bold"],["-tex-mathit","italic"],["-tex-variant","normal"]],Qt.defaultCssFonts={normal:["unknown",!1,!1],bold:["unknown",!1,!0],italic:["unknown",!0,!1],"bold-italic":["unknown",!0,!0],"double-struck":["unknown",!1,!0],fraktur:["unknown",!1,!1],"bold-fraktur":["unknown",!1,!0],script:["cursive",!1,!1],"bold-script":["cursive",!1,!0],"sans-serif":["sans-serif",!1,!1],"bold-sans-serif":["sans-serif",!1,!0],"sans-serif-italic":["sans-serif",!0,!1],"sans-serif-bold-italic":["sans-serif",!0,!0],monospace:["monospace",!1,!1],"-smallop":["unknown",!1,!1],"-largeop":["unknown",!1,!1],"-tex-calligraphic":["cursive",!0,!1],"-tex-bold-calligraphic":["cursive",!0,!0],"-tex-oldstyle":["unknown",!1,!1],"-tex-bold-oldstyle":["unknown",!1,!0],"-tex-mathit":["unknown",!0,!1],"-tex-variant":["unknown",!1,!1]},Qt.defaultCssFamilyPrefix="",Qt.VariantSmp={bold:[119808,119834,120488,120514,120782,{988:120778,989:120779}],italic:[119860,119886,120546,120572],"bold-italic":[119912,119938,120604,120630],script:[119964,119990],"bold-script":[120016,120042],fraktur:[120068,120094],"double-struck":[120120,120146,,,120792],"bold-fraktur":[120172,120198],"sans-serif":[120224,120250,,,120802],"bold-sans-serif":[120276,120302,120662,120688,120812],"sans-serif-italic":[120328,120354],"sans-serif-bold-italic":[120380,120406,120720,120746],monospace:[120432,120458,,,120822]},Qt.SmpRanges=[[0,65,90],[1,97,122],[2,913,937],[3,945,969],[4,48,57]],Qt.SmpRemap={119893:8462,119965:8492,119968:8496,119969:8497,119971:8459,119972:8464,119975:8466,119976:8499,119981:8475,119994:8495,119996:8458,120004:8500,120070:8493,120075:8460,120076:8465,120085:8476,120093:8488,120122:8450,120127:8461,120133:8469,120135:8473,120136:8474,120137:8477,120145:8484},Qt.SmpRemapGreekU={8711:25,1012:17},Qt.SmpRemapGreekL={977:27,981:29,982:31,1008:28,1009:30,1013:26,8706:25},Qt.defaultAccentMap={94:"\u02c6",126:"\u02dc",768:"\u02cb",769:"\u02ca",770:"\u02c6",771:"\u02dc",772:"\u02c9",774:"\u02d8",775:"\u02d9",776:"\xa8",778:"\u02da",780:"\u02c7",8594:"\u20d7"},Qt.defaultMoMap={45:"\u2212"},Qt.defaultMnMap={45:"\u2212"},Qt.defaultParams={x_height:.442,quad:1,num1:.676,num2:.394,num3:.444,denom1:.686,denom2:.345,sup1:.413,sup2:.363,sup3:.289,sub1:.15,sub2:.247,sup_drop:.386,sub_drop:.05,delim1:2.39,delim2:1,axis_height:.25,rule_thickness:.06,big_op_spacing1:.111,big_op_spacing2:.167,big_op_spacing3:.2,big_op_spacing4:.6,big_op_spacing5:.1,surd_height:.06,scriptspace:.05,nulldelimiterspace:.12,delimiterfactor:901,delimitershortfall:.3,rule_factor:1.25,min_rule_thickness:1.25,separation_factor:1.75,extra_ic:.033,extender_factor:.333},Qt.defaultDelimiters={},Qt.defaultChars={},Qt.defaultSizeVariants=[],Qt.defaultStretchVariants=[],Qt.dynamicFiles={},Qt.dynamicExtensions=new Map;const Xt=MathJax._.core.Tree.Visitor.AbstractVisitor,Ut=MathJax._.util.BBox.BBox;class Kt extends Ut{static from(t,e,s=null){const i=new this;return Object.assign(i,t),i.lineLeading=e,s&&(i.indentData=s),i}constructor(t,e=null){super(t),this.indentData=null,this.isFirst=!1,this.originalL=this.L,e&&(this.start=e)}append(t){this.isFirst&&(t.originalL+=t.L,t.L=0),t.indentData&&(this.indentData=t.indentData),this.lineLeading=t.lineLeading,super.append(t),this.isFirst=t.isFirst}copy(){const t=Kt.from(this,this.lineLeading);return t.indentData=this.indentData,t.lineLeading=this.lineLeading,t}getIndentData(t){let{indentalign:e,indentshift:s,indentalignfirst:i,indentshiftfirst:n,indentalignlast:o,indentshiftlast:r}=t.attributes.getAllAttributes();"indentalign"===i&&(i=t.attributes.getInherited("indentalign")),"indentshift"===n&&(n=t.attributes.getInherited("indentshift")),"indentalign"===o&&(o=e),"indentshift"===r&&(r=s),this.indentData=[[i,n],[e,s],[o,r]]}copyIndentData(t){return t.indentData.map((([t,e])=>[t,e]))}}const qt=MathJax._.core.MmlTree.OperatorDictionary,$t=(qt.OPDEF,qt.MO,qt.RANGES,qt.getRange,qt.MMLSPACING,qt.OPTABLE),Yt=1e6;class Zt extends Xt{breakToWidth(t,e){}}class te extends Zt{constructor(){super(...arguments),this.PENALTY={newline:t=>0,nobreak:t=>Yt,goodbreak:t=>t-200*this.state.depth,badbreak:t=>t+200*this.state.depth,auto:t=>t},this.FACTORS={depth:t=>t+800*this.state.depth,width:t=>t+Math.floor((this.state.width-this.state.w)/this.state.width*2500),tail:t=>t+Math.floor(this.state.width/Math.max(1e-4,this.state.mathLeft-this.state.w)*500),open:(t,e)=>{const s=e.node.prevClass;if(s===Mt.BIN||s===Mt.REL||s===Mt.OP)return t+5e3;const i=this.getPrevious(e);if(i&&("postfix"!==i.attributes.get("form")||"nobreak"===i.attributes.get("linebreak")))return t+5e3;const n=e.node.Parent;if((null==n?void 0:n.isKind("mmultiscripts"))&&e.node===this.getFirstToken(n)){if(!!n.childNodes.filter((t=>t.isKind("mprescripts"))).length)return Yt}return t-500},close:(t,e)=>{var s;const i=e.node.Parent;return!(null==i?void 0:i.isKind("msubsup"))||i.isKind("mmultiscripts")&&(null===(s=i.childNodes[1])||void 0===s?void 0:s.isKind("mprescripts"))||e.node!==this.getLastToken(i.childNodes[0])?t+500:Yt},space:(t,e)=>{const s=e;if(!s.canBreak)return Yt;const i=s.getBBox().w;return i<0?Yt:i<1?t:t-100*(i+4)},separator:t=>t+500,fuzz:t=>.99*t},this.TEXCLASS={[Mt.BIN]:t=>t-250,[Mt.REL]:t=>t-500}}breakToWidth(t,e){const s=this.state;this.state=this.createState(t),this.state.width=e;const i=t.breakCount;for(let s=0;s<=i;s++){(t.lineBBox[s]||t.getLineBBox(s)).w>e&&this.breakLineToWidth(t,s)}for(const[t,e]of this.state.breaks){if(null===e){const e=t.coreMO();e.setBreakStyle(e.node.attributes.get("linebreakstyle")||"before")}else t.setBreakAt(e);t.invalidateBBox()}this.state=s}createState(t){const e=t.getBBox().w;return{breaks:new Set,potential:[],width:0,w:0,prevWidth:0,prevBreak:null,depth:0,mathWidth:e,mathLeft:e}}breakLineToWidth(t,e){const s=this.state;s.potential=[],s.w=0,s.prevWidth=0,s.prevBreak=null,s.depth=0,this.visitNode(t,e)}addWidth(t,e=null){null===e&&(e=t.L+t.w+t.R),e&&(e*=t.rscale,this.state.w+=e,this.state.potential.length&&(this.state.potential[0][4]+=e),this.processBreak())}processBreak(){const t=this.state;for(;t.potential.length&&t.w>this.state.width;){const e=t.potential.pop(),[s,,i,n,o]=e;t.breaks.add(s),t.w=t.potential.reduce(((t,e)=>t+e[4]),n+o),t.prevBreak&&t.prevWidth+i<=t.width?(t.breaks.delete(t.prevBreak[0]),t.prevWidth+=i):t.prevWidth=i+n,t.potential.forEach((t=>t[2]-=i)),t.prevBreak=e,t.mathLeft-=i}}pushBreak(t,e,s,i){var n;const o=this.state;if(!(e>=Yt||0===o.w&&0===o.prevWidth)){for(;o.potential.length&&o.potential[0][1]>this.FACTORS.fuzz(e);){const t=o.potential.shift();o.potential.length&&(o.potential[0][4]+=t[4])}o.potential.unshift([[t,i],e,o.w-((null===(n=o.prevBreak)||void 0===n?void 0:n[3])||0),s,0])}}getBorderLR(t){var e;const s=t.styleData;if(!s)return[0,0];const i=(null===(e=null==s?void 0:s.border)||void 0===e?void 0:e.width)||[0,0,0,0],n=(null==s?void 0:s.padding)||[0,0,0,0];return[i[3]+n[3],i[1]+n[1]]}getFirstToken(t){return t.isToken?t:this.getFirstToken(t.childNodes[0])}getLastToken(t){return t.isToken?t:this.getLastToken(t.childNodes[t.childNodes.length-1])}visitNode(t,e){t&&(this.state.depth++,t.node.isEmbellished&&!t.node.isKind("mo")?this.visitEmbellishedOperator(t,e):super.visitNode(t,e),this.state.depth--)}visitDefault(t,e){var s;const i=t.getLineBBox(e);if(t.node.isToken||t.node.linebreakContainer||!(null===(s=t.childNodes)||void 0===s?void 0:s[0]))this.addWidth(i);else{const[s,n]=this.getBorderLR(t);0===e&&this.addWidth(i,i.L+s),this.visitNode(t.childNodes[0],e),e===t.breakCount&&this.addWidth(i,i.R+n)}}visitEmbellishedOperator(t,e){const s=t.coreMO(),i=Kt.from(t.getOuterBBox(),t.linebreakOptions.lineleading);i.getIndentData(s.node);const n=s.getBreakStyle(s.node.attributes.get("linebreakstyle")),o=s.processIndent("",i.indentData[1][1],"",i.indentData[0][1],this.state.width)[1],r=this.moPenalty(s);if("before"===n)this.pushBreak(t,r,o-i.L,null),this.addWidth(i);else{this.addWidth(i);const e=("after"===n?0:s.multChar?s.multChar.getBBox().w:i.w)+o;this.pushBreak(t,r,e,null)}}visitMoNode(t,e){const s=t,i=Kt.from(s.getOuterBBox(),s.linebreakOptions.lineleading);i.getIndentData(s.node);const n=s.getBreakStyle(s.node.attributes.get("linebreakstyle")),o=s.processIndent("",i.indentData[1][1],"",i.indentData[0][1],this.state.width)[1],r=this.moPenalty(s);if("before"===n)this.pushBreak(t,r,o-i.L,null),this.addWidth(i);else{this.addWidth(i);const e=("after"===n?0:s.multChar?s.multChar.getBBox().w:i.w)+o;this.pushBreak(t,r,e,null)}}moPenalty(t){const{linebreak:e,fence:s,form:i}=t.node.attributes.getList("linebreak","fence","form"),n=this.FACTORS;let o=n.tail(n.width(0));const r=s&&"prefix"===i||t.node.texClass===Mt.OPEN,a=s&&"postfix"===i||t.node.texClass===Mt.CLOSE;return r&&(o=n.open(o,t),this.state.depth++),a&&(o=n.close(o,t),this.state.depth--),o=(this.TEXCLASS[t.node.texClass]||(t=>t))(o),(this.PENALTY[e]||(t=>t))(n.depth(o))}getPrevious(t){let e=t.node,s=e.parent,i=s.childIndex(e);for(;s&&(s.notParent||s.isKind("mrow"))&&0===i;)e=s,s=e.parent,i=s.childIndex(e);if(!s||!i)return null;const n=s.childNodes[i-1];return n.isEmbellished?n.coreMO():null}visitMspaceNode(t,e){const s=t.getLineBBox(e),i=t;if(i.canBreak){const e=this.mspacePenalty(i);s.getIndentData(t.node);const n=t.processIndent("",s.indentData[1][1],"",s.indentData[0][1],this.state.width)[1];this.pushBreak(t,e,n-s.w,null)}this.addWidth(s)}mspacePenalty(t){const e=t.node.attributes.get("linebreak"),s=this.FACTORS,i=s.space(s.tail(s.width(0)),t);return(this.PENALTY[e]||(t=>t))(s.depth(i))}visitMtextNode(t,e){if(!t.getText().match(/ /))return void this.visitDefault(t,e);const s=t;s.clearBreakPoints();const i=s.textWidth(" "),n=t.getBBox(),[o,r]=this.getBorderLR(t);this.addWidth(n,n.L+o);const a=s.childNodes;for(const e of a.keys()){const o=a[e];if(o.node.isKind("text")){const r=o.node.getText().split(/ /),a=r.pop();for(const o of r.keys())this.addWidth(n,s.textWidth(r[o])),this.pushBreak(t,this.mtextPenalty(),-i,[e,o+1]),this.addWidth(n,i);this.addWidth(n,s.textWidth(a))}else this.addWidth(o.getBBox())}this.addWidth(n,n.R+r)}mtextPenalty(){const t=this.FACTORS;return t.depth(t.tail(t.width(0)))}visitMrowNode(t,e){const s=t.lineBBox[e]||t.getLineBBox(e),[i,n]=s.start||[0,0],[o,r]=s.end||[t.childNodes.length-1,0],[a,h]=this.getBorderLR(t);this.addWidth(s,s.L+a);for(let e=i;e<=o;e++)this.visitNode(t.childNodes[e],e===i?n:e===o?r:0);this.addWidth(s,s.R+h)}visitInferredMrowNode(t,e){this.state.depth--,this.visitMrowNode(t,e),this.state.depth++}visitMfracNode(t,e){const s=t;!s.node.attributes.get("bevelled")&&s.getOuterBBox().w>this.state.width&&(this.breakToWidth(s.childNodes[0],this.state.width),this.breakToWidth(s.childNodes[1],this.state.width)),this.visitDefault(t,e)}visitMsqrtNode(t,e){if(t.getOuterBBox().w>this.state.width){const e=t,s=e.childNodes[e.base];this.breakToWidth(s,this.state.width-e.rootWidth()),e.getStretchedSurd()}this.visitDefault(t,e)}visitMrootNode(t,e){this.visitMsqrtNode(t,e)}visitMsubNode(t,e){this.visitDefault(t,e);const s=t,i=s.getOffset()[0],n=s.scriptChild.getOuterBBox(),[o,r]=this.getBorderLR(t);this.addWidth(s.getLineBBox(e),i+o+n.rscale*n.w+s.font.params.scriptspace+r)}visitMsupNode(t,e){this.visitDefault(t,e);const s=t,i=s.getOffset()[0],n=s.scriptChild.getOuterBBox(),[o,r]=this.getBorderLR(t);this.addWidth(s.getLineBBox(e),i+o+n.rscale*n.w+s.font.params.scriptspace+r)}visitMsubsupNode(t,e){this.visitDefault(t,e);const s=t,i=s.subChild.getOuterBBox(),n=s.supChild.getOuterBBox(),o=s.getAdjustedIc(),r=Math.max(i.rscale*i.w,o+n.rscale*n.w)+s.font.params.scriptspace,[a,h]=this.getBorderLR(t);this.addWidth(t.getLineBBox(e),a+r+h)}visitMmultiscriptsNode(t,e){const s=t,i=s.scriptData;if(i.numPrescripts){const n=Math.max(i.psup.rscale*i.psup.w,i.psub.rscale*i.psub.w);this.addWidth(t.getLineBBox(e),n+s.font.params.scriptspace)}if(this.visitDefault(t,e),i.numScripts){const n=Math.max(i.sup.rscale*i.sup.w,i.sub.rscale*i.sub.w);this.addWidth(t.getLineBBox(e),n+s.font.params.scriptspace)}}visitMfencedNode(t,e){const s=t,i=t.getLineBBox(e),[n,o]=this.getBorderLR(t);0===e&&this.addWidth(i,i.L+n),this.visitNode(s.mrow,e),e===t.breakCount&&this.addWidth(i,i.R+o)}visitMactionNode(t,e){const s=t,i=t.getLineBBox(e),[n,o]=this.getBorderLR(t);0===e&&this.addWidth(i,i.L+n),this.visitNode(s.selected,e),e===t.breakCount&&this.addWidth(i,i.R+o)}}!function(){for(const t of Object.keys($t.postfix)){const e=$t.postfix[t][3];e&&e.fence&&(e.linebreakstyle="after")}$t.infix["\u2061"]=[...$t.infix["\u2061"]],$t.infix["\u2061"][3]={linebreak:"nobreak"}}();const ee=MathJax._.util.lengths,se=ee.BIGDIMEN,ie=(ee.UNITS,ee.RELUNITS,ee.MATHSPACE,ee.length2em),ne=ee.percent,oe=ee.em,re=ee.px,ae=MathJax._.util.Styles,he=ae.TRBL,de=(ae.WSC,ae.Styles),le=MathJax._.util.StyleJson.StyleJsonSheet,ce="@mathjax/%%FONT%%-font";class ue extends kt{get forceInlineBreaks(){return!1}constructor(t={},e=null,s=null){const[i,n]=t.fontData instanceof Qt?[t.fontData.constructor,t.fontData]:[t.fontData||s,null],[o,r]=Et(t,i.OPTIONS);super(o),this.factory=this.options.wrapperFactory||new e,this.factory.jax=this,this.styleJson=this.options.styleJson||new le,this.font=n||new i(r),this.font.setOptions({mathmlSpacing:this.options.mathmlSpacing}),this.unknownCache=new Map;const a=this.options.linebreaks.LinebreakVisitor||te;this.linebreaks=new a(this.factory)}setAdaptor(t){super.setAdaptor(t),"auto"===this.options.htmlHDW&&(this.options.htmlHDW=t.canMeasureNodes?"ignore":"force")}addExtension(t,e=""){return this.font.addExtension(t,e)}typeset(t,e){this.setDocument(e);const s=this.createNode();return this.toDOM(t,s,e),s}createNode(){const t=this.constructor.NAME;return this.html("mjx-container",{class:"MathJax",jax:t})}setScale(t,e){let s=this.getInitialScale()*this.options.scale;if("scale"===e.node.attributes.get("overflow")&&this.math.display){const t=e.getOuterBBox().w,i=this.math.metrics.containerWidth/this.pxPerEm;t>i&&t&&(s*=i/t)}1!==s&&this.adaptor.setStyle(t,"fontSize",ne(s))}getInitialScale(){return this.math.metrics.scale}toDOM(t,e,s=null){var i;this.setDocument(s),this.math=t,this.container=e,this.pxPerEm=t.metrics.ex/this.font.params.x_height,this.executeFilters(this.preFilters,t,s,e),this.nodeMap=new Map,t.root.attributes.getAllInherited().overflow=this.options.displayOverflow;const n=t.root.attributes.get("overflow");this.adaptor.setAttribute(e,"overflow",n);"linebreak"===n&&this.getLinebreakWidth();const o=this.options.linebreaks.inline&&!t.display;let r=!!t.root.getProperty("inlineMarked");!r||o&&this.forceInlineBreaks===t.root.getProperty("inlineForced")||(this.unmarkInlineBreaks(t.root),t.root.removeProperty("inlineMarked"),t.root.removeProperty("inlineForced"),r=!1),o&&!r&&(this.markInlineBreaks(null===(i=t.root.childNodes)||void 0===i?void 0:i[0]),t.root.setProperty("inlineMarked",!0),t.root.setProperty("inlineForced",this.forceInlineBreaks)),t.root.setTeXclass(null);const a=this.factory.wrap(t.root);this.setScale(e,a),this.processMath(a,e),this.nodeMap=null,this.executeFilters(this.postFilters,t,s,e)}getBBox(t,e){this.setDocument(e),this.math=t,t.root.setTeXclass(null),this.nodeMap=new Map;const s=this.factory.wrap(t.root).getOuterBBox();return this.nodeMap=null,s}getLinebreakWidth(){const t=this.math.metrics.containerWidth/this.pxPerEm,e=this.math.root.attributes.get("maxwidth")||this.options.linebreaks.width;this.containerWidth=ie(e,t,1,this.pxPerEm)}markInlineBreaks(t){if(!t)return;const e=this.forceInlineBreaks;let s=!1,i=!1,n="";for(const o of t.childNodes)if(n)i=this.markInlineBreak(i,e,n,t,o),n="",s=!1;else if(o.isEmbellished){if(o===t.childNodes[0])continue;const r=o.coreMO(),a=r.texClass,h=r.attributes.get("linebreak"),d=r.attributes.get("linebreakstyle");(a===Mt.BIN||a===Mt.REL||a===Mt.ORD&&r.hasSpacingAttributes()||"auto"!==h)&&"nobreak"!==h&&("before"===d?s&&"auto"===h||(i=this.markInlineBreak(i,e,h,t,o,r)):n=h),s="newline"===h&&"after"===d}else if(o.isKind("mspace")){const n=o.attributes.get("linebreak");"nobreak"!==n&&o.canBreak&&(i=this.markInlineBreak(i,e,n,t,o)),s="newline"===n}else s=!1,o.isKind("mstyle")&&!o.attributes.get("style")&&!o.attributes.hasExplicit("mathbackground")||o.isKind("semantics")?(this.markInlineBreaks(o.childNodes[0]),o.getProperty("process-breaks")&&(o.setProperty("inline-breaks",!0),o.childNodes[0].setProperty("inline-breaks",!0),t.parent.setProperty("process-breaks","true"))):o.isKind("mrow")&&o.attributes.get("data-semantic-added")&&(this.markInlineBreaks(o),o.getProperty("process-breaks")&&(o.setProperty("inline-breaks",!0),t.parent.setProperty("process-breaks","true")))}markInlineBreak(t,e,s,i,n,o=null){return n.setProperty("breakable",!0),e&&"newline"!==s?(n.setProperty("forcebreak",!0),null==o||o.setProperty("forcebreak",!0)):(n.removeProperty("forcebreak"),null==o||o.removeProperty("forcebreak"),"newline"===s&&n.setProperty("newline",!0)),t||(i.setProperty("process-breaks",!0),i.parent.setProperty("process-breaks",!0),t=!0),t}unmarkInlineBreaks(t){if(t&&(t.removeProperty("forcebreak"),t.removeProperty("breakable"),t.getProperty("process-breaks"))){t.removeProperty("process-breaks");for(const e of t.childNodes)this.unmarkInlineBreaks(e)}}getMetrics(t){this.setDocument(t);const e=this.adaptor,s=this.getMetricMaps(t);for(const i of t.math){const t=e.parent(i.start.node);if(i.state()<St.METRICS&&t){const e=s[i.display?1:0],{em:n,ex:o,containerWidth:r,scale:a,family:h}=e.get(t);i.setMetrics(n,o,r,a),this.options.mtextInheritFont&&(i.outputData.mtextFamily=h),this.options.merrorInheritFont&&(i.outputData.merrorFamily=h),i.state(St.METRICS)}}}getMetricsFor(t,e){const s=this.options.mtextInheritFont||this.options.merrorInheritFont,i=this.getTestElement(t,e),n=Object.assign(Object.assign({},this.measureMetrics(i,s)),{display:e});return this.adaptor.remove(i),n}getMetricMaps(t){const e=this.adaptor,s=[new Map,new Map];for(const i of t.math){const t=e.parent(i.start.node);if(t&&i.state()<St.METRICS){const e=s[i.display?1:0];e.has(t)||e.set(t,this.getTestElement(t,i.display))}}const i=this.options.mtextInheritFont||this.options.merrorInheritFont,n=[new Map,new Map];for(const t of n.keys())for(const e of s[t].keys())n[t].set(e,this.measureMetrics(s[t].get(e),i));for(const t of n.keys())for(const i of s[t].values())e.remove(i);return n}getTestElement(t,e){const s=this.adaptor;if(!this.testInline){this.testInline=this.html("mjx-test",{style:{display:"inline-block",width:"100%","font-style":"normal","font-weight":"normal","font-size":"100%","font-size-adjust":"none","text-indent":0,"text-transform":"none","letter-spacing":"normal","word-spacing":"normal",overflow:"hidden",height:"1px","margin-right":"-1px"}},[this.html("mjx-left-box",{style:{display:"inline-block",width:0,float:"left"}}),this.html("mjx-ex-box",{style:{position:"absolute",overflow:"hidden",width:"1px",height:"60ex"}}),this.html("mjx-right-box",{style:{display:"inline-block",width:0,float:"right"}})]),this.testDisplay=s.clone(this.testInline),s.setStyle(this.testDisplay,"display","table"),s.setStyle(this.testDisplay,"margin-right",""),s.setStyle(s.firstChild(this.testDisplay),"display","none");const t=s.lastChild(this.testDisplay);s.setStyle(t,"display","table-cell"),s.setStyle(t,"width","10000em"),s.setStyle(t,"float","")}return s.append(t,s.clone(e?this.testDisplay:this.testInline))}measureMetrics(t,e){const s=this.adaptor,i=e?s.fontFamily(t):"",n=s.fontSize(t),[o,r]=s.nodeSize(s.childNode(t,1)),a=o?r/60:n*this.options.exFactor;return{em:n,ex:a,containerWidth:o?"table"===s.getStyle(t,"display")?s.nodeSize(s.lastChild(t))[0]-1:s.nodeBBox(s.lastChild(t)).left-s.nodeBBox(s.firstChild(t)).left-2:1e6,scale:Math.max(this.options.minScale,this.options.matchFontHeight?a/this.font.params.x_height/n:1),family:i}}styleSheet(t){if(this.setDocument(t),this.styleJson.clear(),this.styleJson.addStyles(this.constructor.commonStyles),"getStyles"in t)for(const e of t.getStyles())this.styleJson.addStyles(e);this.addWrapperStyles(this.styleJson),this.addFontStyles(this.styleJson);return this.html("style",{id:"MJX-styles"},[this.text("\n"+this.styleJson.cssText+"\n")])}addFontStyles(t){t.addStyles(this.font.styles)}addWrapperStyles(t){for(const e of this.factory.getKinds())this.addClassStyles(this.factory.getNodeClass(e),t)}addClassStyles(t,e){t.addStyles(e,this)}insertStyles(t){}setDocument(t){t&&(this.document=t,this.adaptor.document=t.document)}html(t,e={},s=[],i){return this.adaptor.node(t,e,s,i)}text(t){return this.adaptor.text(t)}fixed(t,e=3){return Math.abs(t)<6e-4?"0":t.toFixed(e).replace(/\.?0+$/,"")}measureText(t,e,s=["",!1,!1]){const i=this.unknownText(t,e);if("-explicitFont"===e){const t=this.cssFontStyles(s);this.adaptor.setAttributes(i,{style:t})}return this.measureTextNodeWithCache(i,t,e,s)}measureTextNodeWithCache(t,e,s,i=["",!1,!1]){"-explicitFont"===s&&(s=[i[0],i[1]?"T":"F",i[2]?"T":"F",""].join("-")),this.unknownCache.has(s)||this.unknownCache.set(s,new Map);const n=this.unknownCache.get(s),o=n.get(e);if(o)return o;const r=this.measureTextNode(t);return n.set(e,r),r}cssFontStyles(t,e={}){const[s,i,n]=t;return e["font-family"]=this.font.getFamily(s),i&&(e["font-style"]="italic"),n&&(e["font-weight"]="bold"),e}getFontData(t){return t||(t=new de),[this.font.getFamily(t.get("font-family")),"italic"===t.get("font-style"),"bold"===t.get("font-weight")]}}ue.NAME="Common",ue.OPTIONS=Object.assign(Object.assign({},kt.OPTIONS),{scale:1,minScale:.5,mtextInheritFont:!1,merrorInheritFont:!1,mtextFont:"",merrorFont:"serif",mathmlSpacing:!1,skipAttributes:{},exFactor:.5,displayAlign:"center",displayIndent:"0",displayOverflow:"overflow",linebreaks:{inline:!0,width:"100%",lineleading:.2,LinebreakVisitor:null},font:"",htmlHDW:"auto",wrapperFactory:null,fontData:null,fontPath:ce,styleJson:null}),ue.commonStyles={'mjx-container[overflow="scroll"][display]':{overflow:"auto clip","min-width":"initial !important"},'mjx-container[overflow="truncate"][display]':{overflow:"hidden clip","min-width":"initial !important"},"mjx-container[display]":{display:"block","text-align":"center","justify-content":"center",margin:"calc(1em - 2px) 0",padding:"2px 0"},'mjx-container[display][width="full"]':{display:"flex"},'mjx-container[justify="left"]':{"text-align":"left","justify-content":"left"},'mjx-container[justify="right"]':{"text-align":"right","justify-content":"right"}};const pe=4,me=1,ge=2,fe=.067,xe=.2,be=fe+"em solid",Ae={top:0,right:1,bottom:2,left:3},Be=Object.keys(Ae),ye=t=>new Array(4).fill(t.thickness+t.padding),ve=t=>new Array(4).fill(t.padding),ke=t=>new Array(4).fill(t.thickness),we=t=>Math.max(t.padding,t.thickness*(t.arrowhead.x+t.arrowhead.dx+1)),Se=(t,e)=>{if(t.childNodes[0]){const{h:s,d:i}=t.childNodes[0].getBBox();e[0]=e[2]=Math.max(0,t.thickness*t.arrowhead.y-(s+i)/2)}return e},Ce=(t,e)=>{if(t.childNodes[0]){const{w:s}=t.childNodes[0].getBBox();e[1]=e[3]=Math.max(0,t.thickness*t.arrowhead.y-s/2)}return e},Me={up:[-Math.PI/2,!1,!0,"verticalstrike"],down:[Math.PI/2,!1,!0,"verticakstrike"],right:[0,!1,!1,"horizontalstrike"],left:[Math.PI,!1,!1,"horizontalstrike"],updown:[Math.PI/2,!0,!0,"verticalstrike uparrow downarrow"],leftright:[0,!0,!1,"horizontalstrike leftarrow rightarrow"]},Ne={updiagonal:[-1,0,!1,"updiagonalstrike northeastarrow"],northeast:[-1,0,!1,"updiagonalstrike updiagonalarrow"],southeast:[1,0,!1,"downdiagonalstrike"],northwest:[1,Math.PI,!1,"downdiagonalstrike"],southwest:[-1,Math.PI,!1,"updiagonalstrike"],northeastsouthwest:[-1,0,!0,"updiagonalstrike northeastarrow updiagonalarrow southwestarrow"],northwestsoutheast:[1,0,!0,"downdiagonalstrike northwestarrow southeastarrow"]},Le={up:t=>Ce(t,[we(t),0,t.padding,0]),down:t=>Ce(t,[t.padding,0,we(t),0]),right:t=>Se(t,[0,we(t),0,t.padding]),left:t=>Se(t,[0,t.padding,0,we(t)]),updown:t=>Ce(t,[we(t),0,we(t),0]),leftright:t=>Se(t,[0,we(t),0,we(t)])},De=function(t){return e=>{const s=Ae[e];return[e,{renderer:t,bbox:t=>{const e=[0,0,0,0];return e[s]=t.thickness+t.padding,e},border:t=>{const e=[0,0,0,0];return e[s]=t.thickness,e}}]}},Oe=function(t){return(e,s,i)=>{const n=Ae[s],o=Ae[i];return[e,{renderer:t,bbox:t=>{const e=t.thickness+t.padding,s=[0,0,0,0];return s[n]=s[o]=e,s},border:t=>{const e=[0,0,0,0];return e[n]=e[o]=t.thickness,e},remove:s+" "+i}]}},We=function(t){return e=>{const s="mjx-"+e.charAt(0)+"strike";return[e+"diagonalstrike",{renderer:t(s),bbox:ye}]}},Te=function(t){return e=>{const[s,i,n,o]=Ne[e];return[e+"arrow",{renderer:(e,o)=>{const[r,a]=e.arrowAW(),h=e.arrow(a,s*(r-i),n);t(e,h)},bbox:t=>{const{a:e,x:s,y:i}=t.arrowData(),[n,o,r]=[t.arrowhead.x,t.arrowhead.y,t.arrowhead.dx],[a,h]=t.getArgMod(n+r,o),d=i+(a>e?t.thickness*h*Math.sin(a-e):0),l=s+(a>Math.PI/2-e?t.thickness*h*Math.sin(a+e-Math.PI/2):0);return[d,l,d,l]},remove:o}]}},je=function(t){return e=>{const[s,i,n,o]=Me[e];return[e+"arrow",{renderer:(e,o)=>{const{w:r,h:a,d:h}=e.getBBox(),[d,l]=n?[a+h,"X"]:[r,"Y"],c=e.getOffset(l),u=e.arrow(d,s,i,l,c);t(e,u)},bbox:Le[e],remove:o}]}},Ee=MathJax._.core.Tree.Wrapper.AbstractWrapper,Ve=MathJax._.util.string,Pe=(Ve.sortLength,Ve.quotePattern,Ve.unicodeChars),Ie=(Ve.unicodeString,Ve.isPercent),Re=Ve.split,Fe=(Ve.replaceUnicode,Ve.toEntity,2/18),Ge=5/18;function _e(t,e,s){return e?t?Fe:Ge:t?s<Fe?0:Fe:s}const He={[oe(0)]:"0",[oe(2/18)]:"1",[oe(3/18)]:"2",[oe(4/18)]:"3",[oe(5/18)]:"4",[oe(6/18)]:"5"};class ze extends Ee{static addStyles(t,e){t.addStyles(this.styles)}get jax(){return this.factory.jax}get adaptor(){return this.factory.jax.adaptor}get metrics(){return this.factory.jax.math.metrics}get containerWidth(){return this.jax.containerWidth}get linebreaks(){return this.jax.linebreaks}get linebreakOptions(){return this.jax.options.linebreaks}get fixesPWidth(){return!this.node.notParent&&!this.node.isToken}get 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e&&e.childNodes.push(s),this.jax.nodeMap.set(t,s),s}getBBox(t=!0){if(this.bboxComputed)return this.bbox;const e=t?this.bbox:Ut.zero();return this.computeBBox(e),this.bboxComputed=t,e}getOuterBBox(t=!0){var e;const s=this.getBBox(t);if(!this.styleData)return s;const i=this.styleData.padding,n=(null===(e=this.styleData.border)||void 0===e?void 0:e.width)||[0,0,0,0],o=s.copy();for(const[,t,e]of Ut.boxSides)o[e]+=i[t]+n[t];return o}getUnbrokenHD(){const t=this.breakCount+1;let e=0,s=0;for(let i=0;i<t;i++){const{h:t,d:n}=this.getLineBBox(i);t>e&&(e=t),n>s&&(s=n)}return[e,s]}computeBBox(t,e=!1){t.empty();for(const e of this.childNodes)t.append(e.getOuterBBox());t.clean(),this.fixesPWidth&&this.setChildPWidths(e)&&this.computeBBox(t,!0)}getLineBBox(t){if(!this.lineBBox[t]){const e=this.breakCount;if(e){const s=this.embellishedBBox(t)||this.computeLineBBox(t);this.lineBBox[t]=s,0===t&&(!this.node.isKind("mo")&&this.node.isEmbellished?s.originalL=this.getBBox().L:s.L=this.getBBox().L),t===e&&(s.R=this.getBBox().R)}else{const e=this.getOuterBBox();this.lineBBox[t]=Kt.from(e,this.linebreakOptions.lineleading)}}return this.lineBBox[t]}embellishedBBox(t){if(!this.node.isEmbellished||this.node.isKind("mo"))return null;const e=this.coreMO();return e.moLineBBox(t,e.embellishedBreakStyle,this.getOuterBBox())}computeLineBBox(t){return this.getChildLineBBox(this.childNodes[0],t)}getBreakNode(t){var e,s;if(!t.start)return[this,null];const[i,n]=t.start;if(this.node.isEmbellished)return[this,this.coreMO()];const o=(null===(s=null===(e=this.childNodes[0])||void 0===e?void 0:e.node)||void 0===s?void 0:s.isInferred)?this.childNodes[0].childNodes:this.childNodes;return this.node.isToken||!o[i]?[this,null]:o[i].getBreakNode(o[i].getLineBBox(n))}getChildLineBBox(t,e){const s=this.breakCount;let i=t.getLineBBox(e);return(this.styleData||this.bbox.L||this.bbox.R)&&(i=i.copy()),this.addMiddleBorders(i),0===e?(i.L+=this.bbox.L,this.addLeftBorders(i)):e===s&&(i.R+=this.bbox.R,this.addRightBorders(i)),i}addLeftBorders(t){var e;if(!this.styleData)return;const s=this.styleData.border,i=this.styleData.padding;t.w+=((null===(e=null==s?void 0:s.width)||void 0===e?void 0:e[3])||0)+((null==i?void 0:i[3])||0)}addMiddleBorders(t){var e,s;if(!this.styleData)return;const i=this.styleData.border,n=this.styleData.padding;t.h+=((null===(e=null==i?void 0:i.width)||void 0===e?void 0:e[0])||0)+((null==n?void 0:n[0])||0),t.d+=((null===(s=null==i?void 0:i.width)||void 0===s?void 0:s[2])||0)+((null==n?void 0:n[2])||0)}addRightBorders(t){var e;if(!this.styleData)return;const s=this.styleData.border,i=this.styleData.padding;t.w+=((null===(e=null==s?void 0:s.width)||void 0===e?void 0:e[1])||0)+((null==i?void 0:i[1])||0)}setChildPWidths(t,e=null,s=!0){if(t)return!1;s&&(this.bbox.pwidth="");let i=!1;for(const n of this.childNodes){const o=n.getBBox();o.pwidth&&n.setChildPWidths(t,null===e?o.w:e,s)&&(i=!0)}return i}breakToWidth(t){}invalidateBBox(t=!0){(this.bboxComputed||this._breakCount>=0)&&(this.bboxComputed=!1,this.lineBBox=[],this._breakCount=-1,this.parent&&t&&this.parent.invalidateBBox())}copySkewIC(t){var e,s,i;const n=this.childNodes[0];(null===(e=null==n?void 0:n.bbox)||void 0===e?void 0:e.sk)&&(t.sk=n.bbox.sk),(null===(s=null==n?void 0:n.bbox)||void 0===s?void 0:s.dx)&&(t.dx=n.bbox.dx);const o=this.childNodes[this.childNodes.length-1];(null===(i=null==o?void 0:o.bbox)||void 0===i?void 0:i.ic)&&(t.ic=o.bbox.ic,t.w+=t.ic)}getStyles(){const t=this.node.attributes.getExplicit("style");if(!t)return;const e=this.styles=new de(t);for(let t=0,s=ze.removeStyles.length;t<s;t++){const s=ze.removeStyles[t];e.get(s)&&(this.removedStyles||(this.removedStyles={}),this.removedStyles[s]=e.get(s),e.set(s,""))}}getStyleData(){if(!this.styles)return;const 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t=this.removedStyles;t.fontFamily&&(s.family=t.fontFamily),t.fontWeight&&(s.weight=t.fontWeight),t.fontStyle&&(s.style=t.fontStyle)}s.fontfamily&&(s.family=s.fontfamily),s.fontweight&&(s.weight=s.fontweight),s.fontstyle&&(s.style=s.fontstyle),s.weight&&s.weight.match(/^\d+$/)&&(s.weight=parseInt(s.weight)>600?"bold":"normal"),s.family?e=this.explicitVariant(s.family,s.weight,s.style):(this.node.getProperty("variantForm")&&(e="-tex-variant"),e=(ze.BOLDVARIANTS[s.weight]||{})[e]||e,e=(ze.ITALICVARIANTS[s.style]||{})[e]||e)}this.variant=e}explicitVariant(t,e,s){let i=this.styles;return i||(i=this.styles=new de),i.set("fontFamily",t),e&&i.set("fontWeight",e),s&&i.set("fontStyle",s),"-explicitFont"}getScale(){let t=1;const e=this.parent,s=e?e.bbox.scale:1,i=this.node.attributes,n=Math.min(i.get("scriptlevel"),2);let 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n=t.getProperty("noDictDef"),o=t.attributes,r=o.get("scriptlevel")>0;if(this.bbox.L=o.isSet("lspace")?Math.max(0,this.length2em(o.get("lspace"))):_e(r,n,t.lspace),this.bbox.R=o.isSet("rspace")?Math.max(0,this.length2em(o.get("rspace"))):_e(r,n,t.rspace),!i)return;const a=s.childNodes[i-1];if(!a.isEmbellished)return;const h=this.jax.nodeMap.get(a).getBBox();h.R&&(this.bbox.L=Math.max(0,this.bbox.L-h.R))}getTeXSpacing(t,e){if(!e){const t=this.node.texSpacing();t&&(this.bbox.L=this.length2em(t))}if(t||e){const t=this.node.coreMO().attributes;t.isSet("lspace")&&(this.bbox.L=Math.max(0,this.length2em(t.get("lspace")))),t.isSet("rspace")&&(this.bbox.R=Math.max(0,this.length2em(t.get("rspace"))))}}isTopEmbellished(){return this.node.isEmbellished&&!(this.node.parent&&this.node.parent.isEmbellished)}core(){return this.jax.nodeMap.get(this.node.core())}coreMO(){return this.jax.nodeMap.get(this.node.coreMO())}coreRScale(){let t=this.bbox.rscale,e=this.coreMO();for(;e!==this&&e;)t*=e.bbox.rscale,e=e.parent;return t}getRScale(){let t=1,e=this;for(;e;)t*=e.bbox.rscale,e=e.parent;return t}getText(){let t="";if(this.node.isToken)for(const e of this.node.childNodes)e instanceof Lt&&(t+=e.getText());return t}canStretch(t){if(this.stretch=zt,this.node.isEmbellished){const e=this.core();e&&e.node!==this.node&&e.canStretch(t)&&(this.stretch=e.stretch)}return this.stretch.dir!==Ft.None}getAlignShift(){let{indentalign:t,indentshift:e,indentalignfirst:s,indentshiftfirst:i}=this.node.attributes.getAllAttributes();return"indentalign"!==s&&(t=s),"indentshift"!==i&&(e=i),this.processIndent(t,e)}processIndent(t,e,s="",i="",n=this.metrics.containerWidth){if(!this.jax.math.display)return["left",0];s&&"auto"!==s||(s=this.jax.math.root.getProperty("inlineMarked")?"left":this.jax.options.displayAlign),i&&"auto"!==i||(i=this.jax.math.root.getProperty("inlineMarked")?"0":this.jax.options.displayIndent),"auto"===t&&(t=s),"auto"===e&&(e=i,"right"!==t||e.match(/^\s*0[a-z]*\s*$/)||(e=("-"+e.trim()).replace(/^--/,"")));return[t,this.length2em(e,n)]}getAlignX(t,e,s){return"right"===s?t-(e.w+e.R)*e.rscale:"left"===s?e.L*e.rscale:(t-e.w*e.rscale)/2}getAlignY(t,e,s,i,n){return"top"===n?t-s:"bottom"===n?i-e:"center"===n?(t-s-(e-i))/2:0}getWrapWidth(t){return this.childNodes[t].getBBox().w}getChildAlign(t){return"left"}percent(t){return ne(t)}em(t){return oe(t)}px(t,e=-se){return re(t,e,this.metrics.em)}length2em(t,e=1,s=null){null===s&&(s=this.bbox.scale);const i=this.font.params.rule_thickness,n=Vt(t,{medium:1,thin:2/3,thick:5/3},0);return n?n*i:ie(t,e,s,this.jax.pxPerEm)}unicodeChars(t,e=this.variant){let s=Pe(t);const i=this.font.getVariant(e);if(i&&i.chars){const t=i.chars;s=s.map((e=>{var s,i;return(null===(i=null===(s=t[e])||void 0===s?void 0:s[3])||void 0===i?void 0:i.smp)||e}))}return s}remapChars(t){return t}mmlText(t){return this.node.factory.create("text").setText(t)}mmlNode(t,e={},s=[]){return this.node.factory.create(t,e,s)}createMo(t){const e=this.node.factory,s=e.create("text").setText(t),i=e.create("mo",{stretchy:!0},[s]);i.inheritAttributesFrom(this.node),i.parent=this.node.parent;const n=this.wrap(i);return n.parent=this,n}getVariantChar(t,e){const s=this.font.getChar(t,e)||[0,0,0,{unknown:!0}];return 3===s.length&&(s[3]={}),s}html(t,e={},s=[]){return this.jax.html(t,e,s)}}ze.kind="unknown",ze.styles={},ze.removeStyles=["fontSize","fontFamily","fontWeight","fontStyle","fontVariant","font"],ze.skipAttributes={fontfamily:!0,fontsize:!0,fontweight:!0,fontstyle:!0,color:!0,background:!0,class:!0,href:!0,style:!0,xmlns:!0},ze.BOLDVARIANTS={bold:{normal:"bold",italic:"bold-italic",fraktur:"bold-fraktur",script:"bold-script","sans-serif":"bold-sans-serif","sans-serif-italic":"sans-serif-bold-italic"},normal:{bold:"normal","bold-italic":"italic","bold-fraktur":"fraktur","bold-script":"script","bold-sans-serif":"sans-serif","sans-serif-bold-italic":"sans-serif-italic"}},ze.ITALICVARIANTS={italic:{normal:"italic",bold:"bold-italic","sans-serif":"sans-serif-italic","bold-sans-serif":"sans-serif-bold-italic"},normal:{italic:"normal","bold-italic":"bold","sans-serif-italic":"sans-serif","sans-serif-bold-italic":"bold-sans-serif"}};const Je=MathJax._.core.Tree.WrapperFactory.AbstractWrapperFactory;class Qe extends Je{constructor(){super(...arguments),this.jax=null}get Wrappers(){return this.node}}function Xe(t){return class extends t{computeBBox(t,e=!1){super.computeBBox(t,e),this.childNodes[0]&&this.childNodes[0].bbox.ic&&(t.ic=this.childNodes[0].bbox.ic)}}}function Ue(t){return class extends t{remappedText(t,e){const s=this.parent.stretch.c;return s?[s]:this.parent.remapChars(this.unicodeChars(t,e))}computeBBox(t,e=!1){const s=this.parent.variant,i=this.node.getText();if("-explicitFont"===s){const e=this.jax.getFontData(this.parent.styles),{w:n,h:o,d:r}=this.jax.measureText(i,s,e);t.h=o,t.d=r,t.w=n}else{const e=this.remappedText(i,s);let n="";t.empty();for(let i=0;i<e.length;i++){const[o,r,a,h]=this.getVariantChar(s,e[i]);if(h.unknown)n+=String.fromCodePoint(e[i]);else{if(n=this.addUtextBBox(t,n,s),this.updateBBox(t,o,r,a),t.ic=h.ic||0,t.sk=h.sk||0,t.dx=h.dx||0,!h.oc||i<e.length-1)continue;const d=this.parent.childNodes;if(this.node!==d[d.length-1].node)continue;const l=this.parent.parent.node;let c=l.isKind("mrow")||l.isInferred?l.childNodes[l.childIndex(this.parent.node)+1]:null;(null==c?void 0:c.isKind("mo"))&&"\u2062"===c.getText()&&(c=l.childNodes[l.childIndex(c)+1]),c&&c.attributes.get("mathvariant")===s?t.oc=h.oc:t.ic=h.oc}}this.addUtextBBox(t,n,s),e.length>1&&(t.sk=0),t.clean()}}addUtextBBox(t,e,s){if(e){const{h:i,d:n,w:o}=this.jax.measureText(e,s);this.updateBBox(t,i,n,o)}return""}updateBBox(t,e,s,i){t.w+=i,e>t.h&&(t.h=e),s>t.d&&(t.d=s)}getStyles(){}getVariant(){}getScale(){}getSpace(){}}}function Ke(t){class e extends t{constructor(t,e,s=null){super(t,e,s),this.rscale=this.getRScale()}computeBBox(t,e=!1){const s=this.node.getXML(),i=this.getHDW(s,"use","force"),{h:n,d:o,w:r}=i?this.splitHDW(i):this.measureXmlNode(s);t.w=r,t.h=n,t.d=o}getHTML(){let t=this.adaptor.clone(this.node.getXML());const e=this.getFontStyles();return(this.getHDW(t,"force")||1!==this.jax.options.scale)&&(t=this.addHDW(t,e)),this.html("mjx-html",{variant:this.parent.variant,style:e},[t])}getHDW(t,e,s=e){const i=this.jax.options.htmlHDW,n=this.adaptor.getAttribute(t,"data-mjx-hdw");return!n||i!==e&&i!==s?null:n}splitHDW(t){const e=1/this.metrics.scale,[s,i,n]=Re(t).map((t=>this.length2em(t||"0")*e));return{h:s,d:i,w:n}}getFontStyles(){var t;const e=this.adaptor,s=this.metrics;return{"font-family":(null===(t=this.parent.styles)||void 0===t?void 0:t.get("font-family"))||s.family||e.fontFamily(e.parent(this.jax.math.start.node))||"initial","font-size":this.jax.fixed(s.em*this.rscale)+"px"}}measureXmlNode(t){const e=this.adaptor,s=this.html("mjx-xml-block",{style:{display:"inline-block"}},[e.clone(t)]),i=this.html("mjx-baseline",{style:{display:"inline-block",width:0,height:0}}),n=this.getFontStyles(),o=this.html("mjx-measure-xml",{style:n},[i,s]),r=this.jax.container;e.append(e.parent(this.jax.math.start.node),r),e.append(r,o);const a=this.metrics,h=a.em*a.scale*this.rscale,{left:d,right:l,bottom:c,top:u}=e.nodeBBox(s),p=(l-d)/h,m=(e.nodeBBox(i).top-u)/h,g=(c-u)/h-m;return e.remove(r),e.remove(o),{w:p,h:m,d:g}}getStyles(){}getScale(){}getVariant(){}}return e.autoStyle=!1,e.styles={"mjx-measure-xml":{position:"absolute",left:0,top:0,display:"inline-block","line-height":"normal","white-space":"normal"},"mjx-html":{display:"inline-block","line-height":"normal","text-align":"initial","white-space":"initial"},"mjx-html-holder":{display:"block",position:"absolute",top:0,left:0,bottom:0,right:0}},e}Qe.defaultNodes={};const qe={dx:".2em",dy:".1em",postDelay:600,clearDelay:100,hoverTimer:new Map,clearTimer:new Map,stopTimers:(t,e)=>{e.clearTimer.has(t)&&(clearTimeout(e.clearTimer.get(t)),e.clearTimer.delete(t)),e.hoverTimer.has(t)&&(clearTimeout(e.hoverTimer.get(t)),e.hoverTimer.delete(t))}};function $e(t){return class extends t{get selected(){const t=this.node.attributes.get("selection"),e=Math.max(1,Math.min(this.childNodes.length,t))-1;return this.childNodes[e]||this.wrap(this.node.selected)}getParameters(){const t=this.node.attributes.get("data-offsets"),[e,s]=Re(t||"");this.tipDx=this.length2em(e||qe.dx),this.tipDy=this.length2em(s||qe.dy)}constructor(t,e,s=null){super(t,e,s);const i=this.constructor.actions,n=this.node.attributes.get("actiontype"),[o,r]=i.get(n)||[(t,e)=>{},{}];this.action=o,this.data=r,this.getParameters()}computeBBox(t,e=!1){t.updateFrom(this.selected.getOuterBBox()),this.selected.setChildPWidths(e)}get breakCount(){return this.node.isEmbellished?this.selected.coreMO().embellishedBreakCount:this.selected.breakCount}computeLineBBox(t){return this.getChildLineBBox(this.selected,t)}}}function Ye(t){return class extends t{getWrapWidth(t){return this.parent?this.getBBox().w:this.metrics.containerWidth/this.jax.pxPerEm}computeBBox(t,e=!1){super.computeBBox(t,e);const s=this.node.attributes;if(!this.parent&&this.jax.math.display&&"linebreak"===s.get("overflow")){const e=this.containerWidth;t.w>e&&this.childNodes[0].breakToWidth(e),t.updateFrom(this.childNodes[0].getBBox())}}}}function Ze(t){return class extends t{getParameters(){const t=this.node.attributes,e=t.get("data-padding");void 0!==e&&(this.padding=this.length2em(e,xe));const s=t.get("data-thickness");void 0!==s&&(this.thickness=this.length2em(s,fe));const i=t.get("data-arrowhead");if(void 0!==i){const[t,e,s]=Re(i);this.arrowhead={x:t?parseFloat(t):pe,y:e?parseFloat(e):ge,dx:s?parseFloat(s):me}}}getNotations(){const t=this.constructor.notations;for(const e of Re(this.node.attributes.get("notation"))){const s=t.get(e);s&&(this.notations[e]=s,s.renderChild&&(this.renderChild=s.renderer))}}removeRedundantNotations(){for(const t of Object.keys(this.notations))if(this.notations[t]){const e=this.notations[t].remove||"";for(const t of e.split(/ /))delete this.notations[t]}}initializeNotations(){for(const t of Object.keys(this.notations)){const e=this.notations[t].init;e&&e(this)}}getBBoxExtenders(){const t=[0,0,0,0];for(const e of Object.keys(this.notations))this.maximizeEntries(t,this.notations[e].bbox(this));return t}getPadding(){const t=[0,0,0,0];for(const e of Object.keys(this.notations)){const s=this.notations[e].border;s&&this.maximizeEntries(t,s(this))}return[0,1,2,3].map((e=>this.TRBL[e]-t[e]))}maximizeEntries(t,e){for(let s=0;s<t.length;s++)t[s]<e[s]&&(t[s]=e[s])}getOffset(t){const[e,s,i,n]=this.TRBL,o=("X"===t?s-n:i-e)/2;return Math.abs(o)>.001?o:0}getArgMod(t,e){return[Math.atan2(e,t),Math.sqrt(t*t+e*e)]}arrow(t,e,s,i="",n=0){return null}arrowData(){const[t,e]=[this.padding,this.thickness],s=e*(this.arrowhead.x+Math.max(1,this.arrowhead.dx)),{h:i,d:n,w:o}=this.childNodes[0].getBBox(),r=i+n,a=Math.sqrt(r*r+o*o),h=Math.max(t,s*o/a),d=Math.max(t,s*r/a),[l,c]=this.getArgMod(o+2*h,r+2*d);return{a:l,W:c,x:h,y:d}}arrowAW(){const{h:t,d:e,w:s}=this.childNodes[0].getBBox(),[i,n,o,r]=this.TRBL;return this.getArgMod(r+s+n,i+t+e+o)}createMsqrt(t){const e=this.node.factory.create("msqrt");e.inheritAttributesFrom(this.node),e.childNodes[0]=t.node;const s=this.wrap(e);return s.parent=this,s}sqrtTRBL(){const t=this.msqrt.getBBox(),e=this.msqrt.childNodes[0].getBBox();return[t.h-e.h,0,t.d-e.d,t.w-e.w]}constructor(t,e,s=null){super(t,e,s),this.notations={},this.renderChild=null,this.msqrt=null,this.padding=xe,this.thickness=fe,this.arrowhead={x:pe,y:ge,dx:me},this.TRBL=[0,0,0,0],this.getParameters(),this.getNotations(),this.removeRedundantNotations(),this.initializeNotations(),this.TRBL=this.getBBoxExtenders()}computeBBox(t,e=!1){const[s,i,n,o]=this.TRBL,r=this.childNodes[0].getBBox();t.combine(r,o,0),t.h+=s,t.d+=n,t.w+=i,this.setChildPWidths(e)}}}function ts(t){return class extends t{createMrow(){const t=this.node.factory.create("inferredMrow");t.inheritAttributesFrom(this.node),this.mrow=this.wrap(t),this.mrow.parent=this}addMrowChildren(){const t=this.node,e=this.mrow;this.addMo(t.open),this.childNodes.length&&e.childNodes.push(this.childNodes[0]);let s=0;for(const i of this.childNodes.slice(1))this.addMo(t.separators[s++]),e.childNodes.push(i);this.addMo(t.close),e.stretchChildren()}addMo(t){if(!t)return;const e=this.wrap(t);this.mrow.childNodes.push(e),e.parent=this.mrow}constructor(t,e,s=null){super(t,e,s),this.mrow=null,this.createMrow(),this.addMrowChildren()}computeBBox(t,e=!1){t.updateFrom(this.mrow.getOuterBBox()),this.setChildPWidths(e)}get breakCount(){return this.mrow.breakCount}computeLineBBox(t){return this.mrow.getLineBBox(t)}}}function es(t){return class extends t{getFractionBBox(t,e,s){const i=this.childNodes[0].getOuterBBox(),n=this.childNodes[1].getOuterBBox(),o=this.font.params.axis_height,{T:r,u:a,v:h}=this.getTUV(e,s);t.combine(i,0,o+r+Math.max(i.d*i.rscale,a)),t.combine(n,0,o-r-Math.max(n.h*n.rscale,h)),t.w+=2*this.pad+.2}getTUV(t,e){const s=this.font.params,i=s.axis_height,n=(t?3.5:1.5)*e;return{T:(t?3.5:1.5)*e,u:(t?s.num1:s.num2)-i-n,v:(t?s.denom1:s.denom2)+i-n}}getAtopBBox(t,e){const{u:s,v:i,nbox:n,dbox:o}=this.getUVQ(e);t.combine(n,0,s),t.combine(o,0,-i),t.w+=2*this.pad}getUVQ(t){const e=this.childNodes[0].getOuterBBox(),s=this.childNodes[1].getOuterBBox(),i=this.font.params;let[n,o]=t?[i.num1,i.denom1]:[i.num3,i.denom2];const r=(t?7:3)*i.rule_thickness;let a=n-e.d*e.scale-(s.h*s.scale-o);return a<r&&(n+=(r-a)/2,o+=(r-a)/2,a=r),{u:n,v:o,q:a,nbox:e,dbox:s}}getBevelledBBox(t,e){const{u:s,v:i,delta:n,nbox:o,dbox:r}=this.getBevelData(e),a=this.bevel.getOuterBBox();t.combine(o,0,s),t.combine(a,t.w-n/2,0),t.combine(r,t.w-n/2,i)}getBevelData(t){const e=this.childNodes[0].getOuterBBox(),s=this.childNodes[1].getOuterBBox(),i=t?.4:.15,n=Math.max(e.scale*(e.h+e.d),s.scale*(s.h+s.d))+2*i,o=this.font.params.axis_height;return{H:n,delta:i,u:e.scale*(e.d-e.h)/2+o+i,v:s.scale*(s.d-s.h)/2+o-i,nbox:e,dbox:s}}isDisplay(){const{displaystyle:t,scriptlevel:e}=this.node.attributes.getList("displaystyle","scriptlevel");return t&&0===e}constructor(t,e,s=null){if(super(t,e,s),this.bevel=null,this.pad=this.node.getProperty("withDelims")?0:this.font.params.nulldelimiterspace,this.node.attributes.get("bevelled")){const{H:t}=this.getBevelData(this.isDisplay()),e=this.bevel=this.createMo("/");e.node.attributes.set("symmetric",!0),e.canStretch(Ft.Vertical),e.getStretchedVariant([t],!0)}}computeBBox(t,e=!1){t.empty();const{linethickness:s,bevelled:i}=this.node.attributes.getList("linethickness","bevelled"),n=this.isDisplay();let o=null;if(i)this.getBevelledBBox(t,n);else{const e=this.length2em(String(s),.06);o=-2*this.pad,0===e?this.getAtopBBox(t,n):(this.getFractionBBox(t,n,e),o-=.2),o+=t.w}t.clean(),this.setChildPWidths(e,o)}canStretch(t){return!1}getChildAlign(t){const e=this.node.attributes;return e.get("bevelled")?"left":e.get(["numalign","denomalign"][t])}getWrapWidth(t){const e=this.node.attributes;if(e.get("bevelled"))return this.childNodes[t].getOuterBBox().w;return this.getBBox().w-(this.length2em(e.get("linethickness"))?.2:0)-2*this.pad}}}function ss(t){return class extends t{constructor(t,e,s=null){super(t,e,s),this.getParameters()}getParameters(){const{width:t,height:e,valign:s,src:i,index:n}=this.node.attributes.getList("width","height","valign","src","index");if(i)this.width="auto"===t?1:this.length2em(t),this.height="auto"===e?1:this.length2em(e),this.valign=this.length2em(s||"0");else{const t=String.fromCodePoint(parseInt(n)),e=this.node.factory;this.charWrapper=this.wrap(e.create("text").setText(t)),this.charWrapper.parent=this}}computeBBox(t,e=!1){this.charWrapper?t.updateFrom(this.charWrapper.getBBox()):(t.w=this.width,t.h=this.height+this.valign,t.d=-this.valign)}}}function is(t){return class extends t{computeBBox(t,e=!1){super.computeBBox(t),this.copySkewIC(t)}}}const ns={base:"subList",subList:"supList",supList:"subList",psubList:"psupList",psupList:"psubList"},os=["sup","sup","psup","psub"];function rs(t){return class extends t{combinePrePost(t,e){const s=new Ut(t);return s.combine(e,0,0),s}getScriptData(){const t=this.scriptData={base:null,sub:Ut.empty(),sup:Ut.empty(),psub:Ut.empty(),psup:Ut.empty(),numPrescripts:0,numScripts:0},e=this.getScriptBBoxLists();this.combineBBoxLists(t.sub,t.sup,e.subList,e.supList),this.combineBBoxLists(t.psub,t.psup,e.psubList,e.psupList),t.base=e.base[0],t.numPrescripts=e.psubList.length,t.numScripts=e.subList.length}getScriptBBoxLists(){const t={base:[],subList:[],supList:[],psubList:[],psupList:[]};let e="base";for(const s of this.childNodes)s.node.isKind("mprescripts")?e="psubList":(t[e].push(s.getOuterBBox()),e=ns[e]);return this.firstPrescript=t.subList.length+t.supList.length+2,this.padLists(t.subList,t.supList),this.padLists(t.psubList,t.psupList),t}padLists(t,e){t.length>e.length&&e.push(Ut.empty())}combineBBoxLists(t,e,s,i){for(let n=0;n<s.length;n++){const[o,r,a]=this.getScaledWHD(s[n]),[h,d,l]=this.getScaledWHD(i[n]),c=Math.max(o,h);t.w+=c,e.w+=c,r>t.h&&(t.h=r),a>t.d&&(t.d=a),d>e.h&&(e.h=d),l>e.d&&(e.d=l)}}getScaledWHD(t){const{w:e,h:s,d:i,rscale:n}=t;return[e*n,s*n,i*n]}getCombinedUV(){const t=this.scriptData,e=this.combinePrePost(t.sub,t.psub),s=this.combinePrePost(t.sup,t.psup);return this.getUVQ(e,s)}addPrescripts(t,e,s){const i=this.scriptData;if(i.numPrescripts){const n=this.font.params.scriptspace;t.combine(i.psup,n,e),t.combine(i.psub,n,s)}return t}addPostscripts(t,e,s){const i=this.scriptData;if(i.numScripts){const n=t.w;t.combine(i.sup,n,e),t.combine(i.sub,n,s),t.w+=this.font.params.scriptspace}return t}constructor(...t){super(...t),this.scriptData=null,this.firstPrescript=0,this.getScriptData()}appendScripts(t){t.empty();const[e,s]=this.getCombinedUV();return this.addPrescripts(t,e,s),t.append(this.scriptData.base),this.addPostscripts(t,e,s),t.clean(),t}computeLineBBox(t){const e=this.baseChild.breakCount,s=this.baseChild.getLineBBox(t).copy();let i=s;const[n,o]=this.getCombinedUV();return 0===t?(i=Kt.from(this.addPrescripts(Ut.zero(),n,o),this.linebreakOptions.lineleading),i.append(s),this.addLeftBorders(i),i.L=this.bbox.L):t===e&&(i=this.addPostscripts(i,n,o),this.addRightBorders(i),i.R=this.bbox.R),this.addMiddleBorders(i),i}getUVQ(t,e){if(!this.UVQ){let[s,i,n]=[0,0,0];0===t.w?s=this.getU():0===e.w?s=-this.getV():[s,i,n]=super.getUVQ(t,e),this.UVQ=[s,i,n]}return this.UVQ}}}function as(t){return class extends t{remapChars(t){if(t.length){const e=this.font.getRemappedChar("mn",t[0]);if(e){const s=this.unicodeChars(e,this.variant);1===s.length?t[0]=s[0]:t=s.concat(t.slice(1))}}return t}}}function hs(t){return class extends t{get breakCount(){return this.breakStyle?1:0}get embellishedBreakCount(){return this.embellishedBreakStyle?1:0}get embellishedBreakStyle(){return this.breakStyle||this.getBreakStyle()}protoBBox(t){const e=this.stretch.dir!==Ft.None;e&&null===this.size&&this.getStretchedVariant([0]),e&&this.size<0||(super.computeBBox(t),0!==t.w||!this.node.attributes.hasExplicit("fence")||""!==this.node.getText()||this.node.texClass!==Mt.OPEN&&this.node.texClass!==Mt.CLOSE||this.jax.options.mathmlSpacing||(t.R=this.font.params.nulldelimiterspace),this.copySkewIC(t))}getAccentOffset(){const t=Ut.empty();return this.protoBBox(t),-t.w/2}getCenterOffset(t=null){return t||(t=Ut.empty(),super.computeBBox(t)),(t.h+t.d)/2+this.font.params.axis_height-t.h}getStretchedVariant(t,e=!1){if(this.stretch.dir!==Ft.None){let s=this.getWH(t);const i=this.getSize("minsize",0),n=this.getSize("maxsize",1/0),o=this.node.getProperty("mathaccent");s=Math.max(i,Math.min(n,s));const r=this.font.params.delimiterfactor/1e3,a=this.font.params.delimitershortfall,h=i||e?s:o?Math.min(s/r,s+a):Math.max(s*r,s-a),d=this.stretch,l=d.c||this.getText().codePointAt(0);let c=0;if(d.sizes)for(const t of d.sizes){if(t>=h)return o&&c&&c--,void this.setDelimSize(l,c);c++}d.stretch?(this.size=-1,this.invalidateBBox(),this.getStretchBBox(t,this.checkExtendedHeight(s,d),d)):this.setDelimSize(l,c-1)}}setDelimSize(t,e){const s=this.stretch;this.variant=this.font.getSizeVariant(t,e),this.size=e;const i=s.schar&&s.schar[Math.min(e,s.schar.length-1)]||t;this.stretch=Object.assign(Object.assign({},s),{c:i}),this.childNodes[0].invalidateBBox()}getSize(t,e){const s=this.node.attributes;return s.isSet(t)&&(e=this.length2em(s.get(t),1,1)),e}getWH(t){if(0===t.length)return 0;if(1===t.length)return t[0];const[e,s]=t,i=this.font.params.axis_height;return this.node.attributes.get("symmetric")?2*Math.max(e-i,s+i):e+s}getStretchBBox(t,e,s){Object.hasOwn(s,"min")&&s.min>e&&(e=s.min);let[i,n,o]=s.HDW;if(this.stretch.dir===Ft.Vertical)[i,n]=this.getBaseline(t,e,s);else if(o=e,this.stretch.hd&&!this.jax.options.mathmlSpacing){const t=this.font.params.extender_factor;i=i*(1-t)+this.stretch.hd[0]*t,n=n*(1-t)+this.stretch.hd[1]*t}this.bbox.h=i,this.bbox.d=n,this.bbox.w=o}getBaseline(t,e,s){const i=2===t.length&&t[0]+t[1]===e,n=this.node.attributes.get("symmetric"),[o,r]=i?t:[e,0];let[a,h]=[o+r,0];if(n){const t=this.font.params.axis_height;i&&(a=2*Math.max(o-t,r+t)),h=a/2-t}else if(i)h=r;else{const[t,e]=s.HDW||[.75,.25];h=e*(a/(t+e))}return[a-h,h]}checkExtendedHeight(t,e){if(e.fullExt){const[s,i]=e.fullExt;t=i+Math.ceil(Math.max(0,t-i)/s)*s}return t}setBreakStyle(t=""){if(this.breakStyle=this.node.parent.isEmbellished&&!t?"":this.getBreakStyle(t),this.breakCount&&this.multChar){const t=this.parent.node.childIndex(this.node),e=this.parent.node.childNodes[t+1];e&&e.setTeXclass(this.multChar.node)}}getBreakStyle(t=""){const e=this.node.attributes;let s=t||("newline"===e.get("linebreak")||this.node.getProperty("forcebreak")?e.get("linebreakstyle"):"");return"infixlinebreakstyle"===s&&(s=e.get(s)),s}getMultChar(){const t=this.node.attributes.get("linebreakmultchar");t&&"\u2062"===this.getText()&&"\u2062"!==t&&(this.multChar=this.createMo(t))}constructor(t,e,s=null){super(t,e,s),this.size=null,this.isAccent=this.node.isAccent,this.getMultChar(),this.setBreakStyle()}computeBBox(t,e=!1){if(this.protoBBox(t),this.node.attributes.get("symmetric")&&this.stretch.dir!==Ft.Horizontal){const e=this.getCenterOffset(t);t.h+=e,t.d-=e}this.node.getProperty("mathaccent")&&(this.stretch.dir===Ft.None||this.size>=0)&&(t.w=0)}computeLineBBox(t){return this.moLineBBox(t,this.breakStyle)}moLineBBox(t,e,s=null){const i=this.node.attributes.get("lineleading"),n=this.length2em(i,this.linebreakOptions.lineleading);if(0===t&&"before"===e){const t=Kt.from(Ut.zero(),n);return t.originalL=this.bbox.L,this.bbox.L=0,t}let o=Kt.from(s||this.getOuterBBox(),n);return 1===t&&("after"===e?(o.w=o.h=o.d=0,o.isFirst=!0,this.bbox.R=0):"duplicate"===e?o.L=0:this.multChar&&(o=Kt.from(this.multChar.getOuterBBox(),n)),o.getIndentData(this.node)),o}canStretch(t){if(this.stretch.dir!==Ft.None)return this.stretch.dir===t;if(!this.node.attributes.get("stretchy"))return!1;const e=this.getText();if(1!==Array.from(e).length)return!1;const s=this.font.getDelimiter(e.codePointAt(0));return this.stretch=s&&s.dir===t?s:zt,this.stretch.dir!==Ft.None}getVariant(){this.node.attributes.get("largeop")?this.variant=this.node.attributes.get("displaystyle")?"-largeop":"-smallop":this.node.attributes.hasExplicit("mathvariant")||!1!==this.node.getProperty("pseudoscript")?super.getVariant():this.variant="-tex-variant"}remapChars(t){const e=this.node.getProperty("primes");if(e)return Pe(e);if(1===t.length){const e=this.node.coreParent().parent,s=this.isAccent&&!e.isKind("mrow")?"accent":"mo",i=this.font.getRemappedChar(s,t[0]);i&&(t=this.unicodeChars(i,this.variant))}return t}}}function ds(t){return class extends t{getDimens(){const t=this.node.attributes.getList("width","height","depth","lspace","voffset"),e=this.childNodes[0].getOuterBBox();let{w:s,h:i,d:n}=e;const o=s,r=i,a=n;let h=0,d=0,l=0;""!==t.width&&(s=this.dimen(t.width,e,"w",0)),""!==t.height&&(i=this.dimen(t.height,e,"h",0)),""!==t.depth&&(n=this.dimen(t.depth,e,"d",0)),""!==t.voffset&&(d=this.dimen(t.voffset,e)),""!==t.lspace&&(h=this.dimen(t.lspace,e));const c=this.node.attributes.get("data-align");return c&&(l=this.getAlignX(s,e,c)),[r,a,o,i-r,n-a,s-o,h,d,l]}dimen(t,e,s="",i=null){const n=(t=String(t)).match(/width|height|depth/),o=n?e[n[0].charAt(0)]:s?e[s]:0;let r=this.length2em(t,o)||0;return t.match(/^[-+]/)&&s&&(r+=o),null!=i&&(r=Math.max(i,r)),r}setBBoxDimens(t){const[e,s,i,n,o,r]=this.getDimens();t.w=i+r,t.h=e+n,t.d=s+o}computeBBox(t,e=!1){this.setBBoxDimens(t);if(this.childNodes[0].getOuterBBox().w>t.w){const e=this.node.attributes.get("data-overflow");("linebreak"===e||"auto"===e&&"linebreak"===this.jax.math.root.attributes.get("overflow"))&&(this.childNodes[0].breakToWidth(t.w),this.setBBoxDimens(t))}this.setChildPWidths(e,t.w)}getWrapWidth(t){return this.getBBox().w}getChildAlign(t){return this.node.attributes.get("data-align")||"left"}}}function ls(t){return class extends t{get root(){return 1}combineRootBBox(t,e,s){const i=this.childNodes[this.root].getOuterBBox(),n=this.getRootDimens(e,s)[1];t.combine(i,0,n)}getRootDimens(t,e){const s=this.surd,i=this.childNodes[this.root].getOuterBBox(),n=(s.size<0?.5:.6)*t.w,{w:o,rscale:r}=i,a=Math.max(o,n/r),h=Math.max(0,a-o);return[a*r-n,this.rootHeight(i,t,s.size,e),h]}rootHeight(t,e,s,i){const n=e.h+e.d;return(s<0?1.9:.55*n)-(n-i)+Math.max(0,t.d*t.rscale)}rootWidth(){const t=this.childNodes[this.root].getOuterBBox();return.4+t.w*t.rscale}}}function cs(t){return class extends t{stretchChildren(){const t=[];for(const e of this.childNodes)e.canStretch(Ft.Vertical)&&t.push(e);const e=t.length,s=this.childNodes.length;if(e&&s>1){let i=0,n=0;const o=e>1&&e===s;for(const t of this.childNodes){const e=t.stretch.dir===Ft.None;if(o||e){const e=t.getBBox().rscale;let[s,o]=t.getUnbrokenHD();s*=e,o*=e,s>i&&(i=s),o>n&&(n=o)}}for(const e of t){const t=e.coreRScale();e.coreMO().getStretchedVariant([i/t,n/t])}}}get fixesPWidth(){return!1}get breakCount(){return this._breakCount<0&&(this._breakCount=this.childNodes.length?this.childNodes.reduce(((t,e)=>t+e.breakCount),0):0),this._breakCount}breakTop(t,e){const s=this;return this.isStack?this.parent.breakTop(s,s):s}constructor(t,e,s=null){super(t,e,s),this.dh=0;const i=this;this.isStack=!this.parent||this.parent.node.isInferred||this.parent.breakTop(i,i)!==i,this.stretchChildren();for(const t of this.childNodes)if(t.bbox.pwidth){this.bbox.pwidth=Ut.fullWidth;break}}computeBBox(t,e=!1){const s=this.breakCount;this.lineBBox=s?[new Kt({h:.75,d:.25,w:0},[0,0])]:[],t.empty();for(const e of this.childNodes.keys()){const i=this.childNodes[e];t.append(i.getOuterBBox()),s&&this.computeChildLineBBox(i,e)}t.clean(),s&&!this.coreMO().node.isEmbellished&&this.computeLinebreakBBox(t),this.fixesPWidth&&this.setChildPWidths(e)&&this.computeBBox(t,!0),this.vboxAdjust(t)}computeLinebreakBBox(t){var e;t.empty();const s=this.isStack,i=this.lineBBox,n=i.length-1;if(s)for(const t of i.keys()){const e=i[t];this.addMiddleBorders(e),0===t&&this.addLeftBorders(e),t===n&&this.addRightBorders(e)}let o=0;for(const s of i.keys()){const n=i[s];t.combine(n,0,o),o-=Math.max(.25,n.d)+n.lineLeading+Math.max(.75,(null===(e=i[s+1])||void 0===e?void 0:e.h)||0)}s?(i[0].L=this.bbox.L,i[n].R=this.bbox.R):(t.w=Math.max(...this.lineBBox.map((t=>t.w))),this.shiftLines(t.w),this.jax.math.display||this.linebreakOptions.inline||(t.pwidth=Ut.fullWidth,this.node.isInferred&&(this.parent.bbox.pwidth=Ut.fullWidth))),t.clean()}vboxAdjust(t){if(!this.parent)return;const e=this.breakCount,s=this.parent.node.attributes.get("data-vertical-align");if(e&&"bottom"===s)this.dh=e?t.d-this.lineBBox[e-1].d:0;else{if(!("center"===s||e&&"middle"===s))return void(this.dh=0);{const{h:e,d:s}=t,i=this.font.params.axis_height;this.dh=(e+s)/2+i-e}}t.h+=this.dh,t.d-=this.dh}computeChildLineBBox(t,e){const s=this.lineBBox[this.lineBBox.length-1];s.end=[e,0],s.append(t.getLineBBox(0));const i=t.breakCount+1;if(1!==i)for(let s=1;s<i;s++){const i=new Kt({h:.75,d:.25,w:0});i.start=i.end=[e,s],i.isFirst=!0,i.append(t.getLineBBox(s)),this.lineBBox.push(i)}}getLineBBox(t){return this.getBBox(),this.isStack?super.getLineBBox(t):Kt.from(this.getOuterBBox(),this.linebreakOptions.lineleading)}shiftLines(t){var e,s;const i=this.lineBBox,n=i.length-1,[o,r]=(null===(e=i[1].indentData)||void 0===e?void 0:e[0])||["left","0"];for(const e of i.keys()){const a=i[e],[h,d]=0===e?[o,r]:(null===(s=a.indentData)||void 0===s?void 0:s[e===n?2:1])||["left","0"],[l,c]=this.processIndent(h,d,o,r,t);a.L=0,a.L=this.getAlignX(t,a,l)+c}}setChildPWidths(t,e=null,s=!0){return this.breakCount?!t&&(null!==e&&this.bbox.w!==e&&(this.bbox.w=e,this.shiftLines(e)),!0):super.setChildPWidths(t,e,s)}breakToWidth(t){this.linebreaks.breakToWidth(this,t)}}}function us(t){return class extends t{getScale(){this.bbox.scale=this.parent.bbox.scale,this.bbox.rscale=1}}}function ps(t){return class extends t{createText(t){const e=this.wrap(this.mmlText(t));return e.parent=this,e}constructor(t,e,s=null){super(t,e,s);const i=this.node.attributes,n=i.getList("lquote","rquote");"monospace"!==this.variant&&(i.isSet("lquote")||'"'!==n.lquote||(n.lquote="\u201c"),i.isSet("rquote")||'"'!==n.rquote||(n.rquote="\u201d")),this.childNodes.unshift(this.createText(n.lquote)),this.childNodes.push(this.createText(n.rquote))}}}function ms(t){return class extends t{get canBreak(){return this.node.canBreak}get breakCount(){return this.breakStyle?1:0}setBreakStyle(t=""){this.breakStyle=t||(this.node.hasNewline||this.node.getProperty("forcebreak")?"before":"")}constructor(t,e,s=null){super(t,e,s),this.setBreakStyle()}computeBBox(t,e=!1){const s=this.node.attributes;t.w=this.length2em(s.get("width"),0),t.h=this.length2em(s.get("height"),0),t.d=this.length2em(s.get("depth"),0)}computeLineBBox(t){const e=this.node.attributes.get("data-lineleading"),s=this.length2em(e,this.linebreakOptions.lineleading),i=Kt.from(Ut.zero(),s);return 1===t&&(i.getIndentData(this.node),i.w=this.getBBox().w,i.isFirst=0===i.w),i}}}function gs(t){return class extends t{get base(){return 0}get root(){return null}combineRootBBox(t,e,s){}getPQ(t){const e=this.font.params.rule_thickness,s=this.font.params.surd_height,i=this.node.attributes.get("displaystyle")?this.font.params.x_height:e;return[i,t.h+t.d>this.surdH?(t.h+t.d-(this.surdH-e-s-i/2))/2:s+i/4]}getRootDimens(t,e){return[0,0,0,0]}rootWidth(){return 1.25}getStretchedSurd(){const t=this.font.params.rule_thickness,e=this.font.params.surd_height,s=this.node.attributes.get("displaystyle")?this.font.params.x_height:t,{h:i,d:n}=this.childNodes[this.base].getOuterBBox();this.surdH=i+n+t+e+s/4,this.surd.getStretchedVariant([this.surdH-n,n],!0)}constructor(t,e,s=null){super(t,e,s),this.surd=this.createMo("\u221a"),this.surd.canStretch(Ft.Vertical),this.getStretchedSurd()}computeBBox(t,e=!1){t.empty();const s=this.surd.getBBox(),i=new Ut(this.childNodes[this.base].getOuterBBox()),n=this.getPQ(s)[1],o=this.font.params.rule_thickness,r=this.font.params.surd_height,a=i.h+n+o,[h]=this.getRootDimens(s,a);t.h=a+r,this.combineRootBBox(t,s,a),t.combine(s,h,a-s.h),t.combine(i,h+s.w,0),t.clean(),this.setChildPWidths(e)}invalidateBBox(){super.invalidateBBox(),this.surd.childNodes[0].invalidateBBox()}}}function fs(t){var e;return(e=class extends t{get scriptChild(){return this.childNodes[this.node.sub]}getOffset(){return[this.baseIsChar?0:this.getAdjustedIc(),-this.getV()]}}).useIC=!1,e}function xs(t){return class extends t{get scriptChild(){return this.childNodes[this.node.sup]}getOffset(){return[this.getAdjustedIc()-(this.baseRemoveIc?0:this.baseIc),this.getU()]}}}function bs(t){var e;return e=class extends t{constructor(){super(...arguments),this.UVQ=null}get subChild(){return this.childNodes[this.node.sub]}get supChild(){return this.childNodes[this.node.sup]}get scriptChild(){return this.supChild}getUVQ(t=this.subChild.getOuterBBox(),e=this.supChild.getOuterBBox()){const s=this.baseCore,i=s.getLineBBox(s.breakCount);if(this.UVQ)return this.UVQ;const n=this.font.params,o=3*n.rule_thickness,r=this.length2em(this.node.attributes.get("subscriptshift"),n.sub2),a=this.baseCharZero(i.d*this.baseScale+n.sub_drop*t.rscale),h=e.d*e.rscale,d=t.h*t.rscale;let[l,c]=[this.getU(),Math.max(a,r)],u=l-h-(d-c);if(u<o){c+=o-u;const t=.8*n.x_height-(l-h);t>0&&(l+=t,c-=t)}return l=Math.max(this.length2em(this.node.attributes.get("superscriptshift"),l),l),c=Math.max(this.length2em(this.node.attributes.get("subscriptshift"),c),c),u=l-h-(d-c),this.UVQ=[l,-c,u],this.UVQ}appendScripts(t){const[e,s]=[this.subChild.getOuterBBox(),this.supChild.getOuterBBox()],i=this.getBaseWidth(),n=this.getAdjustedIc(),[o,r]=this.getUVQ(),a=t.d-this.baseChild.getLineBBox(this.baseChild.breakCount).d;return t.combine(e,i+(this.baseIsChar?0:n),r-a),t.combine(s,i+n,o-a),t.w+=this.font.params.scriptspace,t}},e.useIC=!1,e}const As=MathJax._.util.numeric,Bs=As.sum,ys=As.max,vs=.333;function ks(t){return class extends t{get tableRows(){return this.childNodes}findContainer(){let t=this,e=t.parent;for(;e&&(e.node.notParent||e.node.isKind("mrow"));)t=e,e=e.parent;this.container=e,this.containerI=t.node.childPosition()}getPercentageWidth(){if(this.hasLabels)this.bbox.pwidth=Ut.fullWidth;else{const t=this.node.attributes.get("width");Ie(t)&&(this.bbox.pwidth=t)}}stretchRows(){const t=this.node.attributes.get("equalrows"),e=t?this.getEqualRowHeight():0,{H:s,D:i}=t?this.getTableData():{H:[0],D:[0]},n=this.tableRows;for(let o=0;o<this.numRows;o++){const r=t?[(e+s[o]-i[o])/2,(e-s[o]+i[o])/2]:null;n[o].stretchChildren(r)}}stretchColumns(){const t=this.getColumnAttributes("columnwidth",0);for(let e=0;e<this.numCols;e++){const s="number"==typeof this.cWidths[e]?this.cWidths[e]:null;this.stretchColumn(e,s),null!==s&&this.breakColumn(e,s,t[e])}}stretchColumn(t,e){const s=[];for(const e of this.tableRows){const i=e.getChild(t);if(i){const t=i.childNodes[0];t.stretch.dir===Ft.None&&t.canStretch(Ft.Horizontal)&&s.push(t)}}const i=s.length,n=this.childNodes.length;if(i&&n>1&&null===e){e=0;const s=i>1&&i===n;for(const i of this.tableRows){const n=i.getChild(t);if(n){const t=n.childNodes[0],i=t.stretch.dir===Ft.None;if(s||i){const{w:s}=t.getBBox(i);s>e&&(e=s)}}}}if(null!==e)for(const t of s)t.coreMO().getStretchedVariant([Math.max(e,t.getBBox().w)/t.coreRScale()])}breakColumn(t,e,s){if("linebreak"!==this.jax.math.root.attributes.get("overflow")||!this.jax.math.display)return;const{D:i}=this.getTableData();let n=0,o=0;for(const s of this.tableRows){const r=s.getChild(t);if(r&&r.getBBox().w>e){r.childNodes[0].breakToWidth(e);const t=r.getBBox();i[n]=Math.max(i[n],t.d),t.w>o&&(o=t.w)}n++}("fit"===s||"auto"===s||Ie(s)||o>this.cWidths[t])&&(this.cWidths[t]=o)}getTableData(){if(this.data)return this.data;const t=new Array(this.numRows).fill(0),e=new Array(this.numRows).fill(0),s=new Array(this.numCols).fill(0),i=new Array(this.numRows),n=new Array(this.numRows),o=[0],r=this.tableRows;for(let a=0;a<r.length;a++){let h=0;const d=r[a],l=d.node.attributes.get("rowalign");for(let i=0;i<d.numCells;i++){const n=d.getChild(i);h=this.updateHDW(n,i,a,l,t,e,s,h),this.recordPWidthCell(n,i)}i[a]=t[a],n[a]=e[a],d.labeled&&(h=this.updateHDW(d.childNodes[0],0,a,l,t,e,o,h)),this.extendHD(a,t,e,h),this.extendHD(a,i,n,h)}const a=o[0];return this.data={H:t,D:e,W:s,NH:i,ND:n,L:a},this.data}updateHDW(t,e,s,i,n,o,r,a){let{h,d,w:l}=t.getBBox();const c=t.parent.bbox.rscale;1!==t.parent.bbox.rscale&&(h*=c,d*=c,l*=c),this.node.getProperty("useHeight")&&(h<.75&&(h=.75),d<.25&&(d=.25));let u=0;return"baseline"!==(i=t.node.attributes.get("rowalign")||i)&&"axis"!==i&&(u=h+d,h=d=0),h>n[s]&&(n[s]=h),d>o[s]&&(o[s]=d),u>a&&(a=u),r&&l>r[e]&&(r[e]=l),a}extendHD(t,e,s,i){const n=(i-(e[t]+s[t]))/2;n<1e-5||(e[t]+=n,s[t]+=n)}recordPWidthCell(t,e){t.childNodes[0]&&t.childNodes[0].getBBox().pwidth&&this.pwidthCells.push([t,e])}setColumnPWidths(){const t=this.cWidths;for(const[e,s]of this.pwidthCells)e.setChildPWidths(!1,t[s])&&(e.invalidateBBox(),e.getBBox())}getBBoxHD(t){const[e,s]=this.getAlignmentRow();if(null===s){const s=this.font.params.axis_height,i=t/2;return{top:[0,t],center:[i,i],bottom:[t,0],baseline:[i,i],axis:[i+s,i-s]}[e]||[i,i]}{const i=this.getVerticalPosition(s,e);return[i,t-i]}}getBBoxLR(){var t;if(this.hasLabels){const t=this.node.attributes,e=t.get("side");let[s,i]=this.getPadAlignShift(e);const n=this.hasLabels&&!!t.get("data-width-includes-label");return n&&this.frame&&this.fSpace[0]&&(s-=this.fSpace[0]),"center"!==i||n?"left"===e?[s,0]:[0,s]:[s,s]}return[(null===(t=this.bbox)||void 0===t?void 0:t.L)||0,0]}getPadAlignShift(t){const{L:e}=this.getTableData();let s=e+this.length2em(this.node.attributes.get("minlabelspacing"));const[i,n]=null==this.styles?["",""]:[this.styles.get("padding-left"),this.styles.get("padding-right")];(i||n)&&(s=Math.max(s,this.length2em(i||"0"),this.length2em(n||"0")));let[o,r]=this.getAlignShift();return o===t&&(r="left"===t?Math.max(s,r)-s:Math.min(-s,r)+s),[s,o,r]}getWidth(){return this.pWidth||this.getBBox().w}adjustWideTable(){const t=this.node.attributes;if("auto"!==t.get("width"))return;const[e,s]=this.getPadAlignShift(t.get("side")),i=Math.max(this.containerWidth/10,this.containerWidth-e-("center"===s?e:0));this.naturalWidth()>i&&this.adjustColumnWidths(i)}naturalWidth(){const t=this.getComputedWidths();return Bs(t.concat(this.cLines,this.cSpace))+2*this.fLine+this.fSpace[0]+this.fSpace[2]}getEqualRowHeight(){const{H:t,D:e}=this.getTableData(),s=Array.from(t.keys()).map((s=>t[s]+e[s]));return Math.max(...s)}getComputedWidths(){const t=this.getTableData().W;let e=Array.from(t.keys()).map((e=>"number"==typeof this.cWidths[e]?this.cWidths[e]:t[e]));return this.node.attributes.get("equalcolumns")&&(e=Array(e.length).fill(ys(e))),e}getColumnWidths(){const t=this.node.attributes.get("width");if(this.node.attributes.get("equalcolumns"))return this.getEqualColumns(t);const e=this.getColumnAttributes("columnwidth",0);return"auto"===t?this.getColumnWidthsAuto(e):Ie(t)?this.getColumnWidthsPercent(e):this.getColumnWidthsFixed(e,this.length2em(t))}getEqualColumns(t){const e=Math.max(1,this.numCols);let s;if("auto"===t){const{W:t}=this.getTableData();s=ys(t)}else if(Ie(t))s=this.percent(1/e);else{const i=Bs([].concat(this.cLines,this.cSpace))+this.fSpace[0]+this.fSpace[2];s=Math.max(0,this.length2em(t)-i)/e}return Array(this.numCols).fill(s)}getColumnWidthsAuto(t){return t.map((t=>"auto"===t||"fit"===t?null:Ie(t)?t:this.length2em(t)))}getColumnWidthsPercent(t){const e=t.includes("fit"),{W:s}=e?this.getTableData():{W:null};return Array.from(t.keys()).map((i=>{const n=t[i];return"fit"===n?null:"auto"===n?e?s[i]:null:Ie(n)?n:this.length2em(n)}))}getColumnWidthsFixed(t,e){const s=Array.from(t.keys()),i=s.filter((e=>"fit"===t[e])),n=s.filter((e=>"auto"===t[e])),o=i.length||n.length,{W:r}=o?this.getTableData():{W:null},a=e-Bs([].concat(this.cLines,this.cSpace))-this.fSpace[0]-this.fSpace[2];let h=a;s.forEach((e=>{const s=t[e];h-="fit"===s||"auto"===s?r[e]:this.length2em(s,a)}));const d=o&&h>0?h/o:0;return s.map((e=>{const s=t[e];return"fit"===s?r[e]+d:"auto"===s?r[e]+(0===i.length?d:0):this.length2em(s,a)}))}adjustColumnWidths(t){const{W:e}=this.getTableData(),s=this.getColumnAttributes("columnwidth",0),i=Array.from(s.keys()),n=[...i.filter((t=>"fit"===s[t])).sort(((t,s)=>e[s]-e[t])),...i.filter((t=>"auto"===s[t])).sort(((t,s)=>e[s]-e[t])),...i.filter((t=>Ie(s[t]))).sort(((t,s)=>e[s]-e[t])),...i.filter((t=>"fit"!==s[t]&&"auto"!==s[t]&&!Ie(s[t]))).sort(((t,s)=>e[s]-e[t]))];if(!n.length)return;this.cWidths=i.map((t=>"number"==typeof this.cWidths[t]?this.cWidths[t]:e[t]));const o=t-Bs([].concat(this.cLines,this.cSpace))-this.fSpace[0]-this.fSpace[2];let r=Bs(this.cWidths)-o,a=0,h=0;for(;h<n.length&&(a+=e[n[h++]],!(a&&r/a<vs)););r=1-r/a,n.slice(0,h).forEach((t=>this.cWidths[t]*=r))}getVerticalPosition(t,e){const s=this.node.attributes.get("equalrows"),{H:i,D:n}=this.getTableData(),o=s?this.getEqualRowHeight():0,r=this.getRowHalfSpacing();let a=this.fLine;for(let e=0;e<t;e++)a+=r[e]+(s?o:i[e]+n[e])+r[e+1]+this.rLines[e];const[h,d]=s?[(o+i[t]-n[t])/2,(o-i[t]+n[t])/2]:[i[t],n[t]];return a+={top:0,center:r[t]+(h+d)/2,bottom:r[t]+h+d+r[t+1],baseline:r[t]+h,axis:r[t]+h-.25}[e]||0,a}getFrameSpacing(){const t=this.fframe?this.convertLengths(this.getAttributeArray("framespacing")):[0,0];t[2]=t[0];const e=this.node.attributes.get("data-array-padding");if(e){const[s,i]=this.convertLengths(Re(e));t[0]=s,t[2]=i}return t}getEmHalfSpacing(t,e,s=1){const i=this.addEm(e,2/s);return i.unshift(this.em(t[0]*s)),i.push(this.em(t[1]*s)),i}getRowHalfSpacing(){const t=this.rSpace.map((t=>t/2));return t.unshift(this.fSpace[1]),t.push(this.fSpace[1]),t}getColumnHalfSpacing(){const t=this.cSpace.map((t=>t/2));return t.unshift(this.fSpace[0]),t.push(this.fSpace[2]),t}getAlignmentRow(){const[t,e]=Re(this.node.attributes.get("align"));if(null==e)return[t,null];let s=parseInt(e);return s<0&&(s+=this.numRows+1),[t,s<1||s>this.numRows?null:s-1]}getColumnAttributes(t,e=1){const s=this.numCols-e,i=this.getAttributeArray(t);if(0===i.length)return null;for(;i.length<s;)i.push(i[i.length-1]);return i.length>s&&i.splice(s),i}getRowAttributes(t,e=1){const s=this.numRows-e,i=this.getAttributeArray(t);if(0===i.length)return null;for(;i.length<s;)i.push(i[i.length-1]);return i.length>s&&i.splice(s),i}getAttributeArray(t){const e=this.node.attributes.get(t);return e?Re(e):[this.node.attributes.getDefault(t)]}addEm(t,e=1){return t?t.map((t=>this.em(t/e))):null}convertLengths(t){return t?t.map((t=>this.length2em(t))):null}constructor(t,e,s=null){super(t,e,s),this.numCols=0,this.numRows=0,this.data=null,this.pwidthCells=[],this.pWidth=0,this.numCols=ys(this.tableRows.map((t=>t.numCells))),this.numRows=this.childNodes.length,this.hasLabels=this.childNodes.reduce(((t,e)=>t||e.node.isKind("mlabeledtr")),!1),this.findContainer(),this.isTop=!this.container||this.container.node.isKind("math")&&!this.container.parent,this.isTop&&(this.jax.table=this),this.getPercentageWidth();const i=this.node.attributes,n=i.get("frame");this.frame="none"!==n,this.fframe=this.frame||void 0!==i.get("data-frame-styles"),this.fLine=this.frame?.07:0,this.fSpace=this.getFrameSpacing(),this.cSpace=this.convertLengths(this.getColumnAttributes("columnspacing")),this.rSpace=this.convertLengths(this.getRowAttributes("rowspacing")),this.cLines=this.getColumnAttributes("columnlines").map((t=>"none"===t?0:.07)),this.rLines=this.getRowAttributes("rowlines").map((t=>"none"===t?0:.07)),this.cWidths=this.getColumnWidths(),this.adjustWideTable(),this.stretchColumns(),this.stretchRows()}getStyles(){super.getStyles();const t=this.node.attributes.get("data-frame-styles");if(!t)return;this.styles||(this.styles=new de(""));const e=t.split(/ /);for(const t of he.keys()){const s=e[t];"none"!==s&&this.styles.set(`border-${he[t]}`,`.07em ${s}`)}}computeBBox(t,e=!1){const{H:s,D:i}=this.getTableData();let n,o;if(this.node.attributes.get("equalrows")){const t=this.getEqualRowHeight();n=Bs([].concat(this.rLines,this.rSpace))+t*this.numRows}else n=Bs(s.concat(i,this.rLines,this.rSpace));n+=2*(this.fLine+this.fSpace[1]),o=this.naturalWidth();const r=this.node.attributes.get("width");"auto"!==r&&(o=Math.max(this.length2em(r,0)+2*this.fLine,o));const[a,h]=this.getBBoxHD(n);t.h=a,t.d=h,t.w=o;const[d,l]=this.getBBoxLR();t.L=d,t.R=l,Ie(r)||this.setColumnPWidths()}setChildPWidths(t,e,s){const i=this.node.attributes.get("width");if(!Ie(i))return!1;this.hasLabels||(this.bbox.pwidth="",this.container.bbox.pwidth="");const{w:n,L:o,R:r}=this.bbox,a=this.node.attributes.get("data-width-includes-label"),h=Math.max(n,this.length2em(i,Math.max(e,o+n+r)))-(a?o+r:0),d=this.node.attributes.get("equalcolumns")?Array(this.numCols).fill(this.percent(1/Math.max(1,this.numCols))):this.getColumnAttributes("columnwidth",0);return this.cWidths=this.getColumnWidthsFixed(d,h),this.pWidth=this.naturalWidth(),this.isTop&&(this.bbox.w=this.pWidth),this.setColumnPWidths(),this.pWidth!==n&&this.parent.invalidateBBox(),this.pWidth!==n}getAlignShift(){return this.isTop?super.getAlignShift():[this.container.getChildAlign(this.containerI),0]}}}function ws(t){return class extends t{get fixesPWidth(){return!1}invalidateBBox(){this.bboxComputed=!1,this.lineBBox=[]}getWrapWidth(t){const e=this.parent.parent,s=this.parent,i=this.node.childPosition()-(s.labeled?1:0);return"number"==typeof e.cWidths[i]?e.cWidths[i]:e.getTableData().W[i]}getChildAlign(t){return this.node.attributes.get("columnalign")}}}function Ss(t){var e;return e=class extends t{constructor(){super(...arguments),this.breakPoints=[]}textWidth(t){let e=this.textNode;if(!e){const t=this.node.factory.create("text");t.parent=this.node,e=this.textNode=this.factory.wrap(t),e.parent=this}return e.node.setText(t),e.invalidateBBox(!1),e.getBBox().w}get breakCount(){return this.breakPoints.length}getVariant(){const t=this.jax.options,e=this.jax.math.outputData,s=(!!e.merrorFamily||!!t.merrorFont)&&this.node.Parent.isKind("merror");if(e.mtextFamily||t.mtextFont||s){const i=this.node.attributes.get("mathvariant"),n=this.constructor.INHERITFONTS[i]||this.jax.font.getCssFont(i),o=n[0]||(s?e.merrorFamily||t.merrorFont:e.mtextFamily||t.mtextFont);this.variant=this.explicitVariant(o,n[2]?"bold":"",n[1]?"italic":"")}else super.getVariant()}setBreakAt(t){this.breakPoints.push(t)}clearBreakPoints(){this.breakPoints=[]}computeLineBBox(t){const e=Kt.from(this.getOuterBBox(),this.linebreakOptions.lineleading);return this.breakCount?(e.w=this.getBreakWidth(t),0===t?(e.R=0,this.addLeftBorders(e)):(e.L=0,e.indentData=[["left","0"],["left","0"],["left","0"]],t===this.breakCount&&this.addRightBorders(e)),e):e}getBreakWidth(t){const e=this.childNodes;let[s,i]=this.breakPoints[t-1]||[0,0];const[n,o]=this.breakPoints[t]||[e.length,0];let r=e[s].node.getText().split(/ /);if(s===n)return this.textWidth(r.slice(i,o).join(" "));let a=this.textWidth(r.slice(i).join(" "));for(;++s<n&&s<e.length;)a+=e[s].getBBox().w;return s<e.length&&(r=e[s].node.getText().split(/ /),a+=this.textWidth(r.slice(0,o).join(" "))),a}},e.INHERITFONTS={normal:["",!1,!1],bold:["",!1,!0],italic:["",!0,!1],"bold-italic":["",!0,!0]},e}function Cs(t){return class extends t{get numCells(){return this.childNodes.length}get labeled(){return!1}get tableCells(){return this.childNodes}getChild(t){return this.childNodes[t]}getChildBBoxes(){return this.childNodes.map((t=>t.getBBox()))}stretchChildren(t=null){const e=[],s=this.labeled?this.childNodes.slice(1):this.childNodes;for(const t of s){const s=t.childNodes[0];s.canStretch(Ft.Vertical)&&e.push(s)}const i=e.length,n=this.childNodes.length;if(i&&n>1&&!t){let e=0,o=0;const r=i>1&&i===n;for(const t of s){const s=t.childNodes[0],i=s.stretch.dir===Ft.None;if(r||i){const{h:t,d:n}=s.getBBox(i);t>e&&(e=t),n>o&&(o=n)}}t=[e,o]}if(t)for(const s of e){const e=s.coreRScale();s.coreMO().getStretchedVariant(t.map((t=>t*e)))}}get fixesPWidth(){return!1}}}function Ms(t){return class extends t{get numCells(){return Math.max(0,this.childNodes.length-1)}get labeled(){return!0}get tableCells(){return this.childNodes.slice(1)}getChild(t){return this.childNodes[t+1]}getChildBBoxes(){return this.childNodes.slice(1).map((t=>t.getBBox()))}}}function Ns(t){return class extends t{get scriptChild(){return this.childNodes[this.node.under]}constructor(...t){super(...t),this.stretchChildren()}computeBBox(t,e=!1){if(this.hasMovableLimits())return void super.computeBBox(t,e);t.empty();const s=this.baseChild.getOuterBBox(),i=this.scriptChild.getOuterBBox(),n=this.getUnderKV(s,i)[1],o=this.isLineBelow?0:this.getDelta(this.scriptChild,!0),[r,a]=this.getDeltaW([s,i],[0,-o]);t.combine(s,r,0),t.combine(i,a,n),t.d+=this.font.params.big_op_spacing5,t.clean(),this.setChildPWidths(e)}}}function Ls(t){return class extends t{get scriptChild(){return this.childNodes[this.node.over]}constructor(...t){super(...t),this.stretchChildren()}computeBBox(t){if(this.hasMovableLimits())return void super.computeBBox(t);t.empty();const e=this.baseChild.getOuterBBox(),s=this.scriptChild.getOuterBBox();this.node.attributes.get("accent")&&(e.h=Math.max(e.h,this.font.params.x_height*this.baseScale));const i=this.getOverKU(e,s)[1],n=this.isLineAbove?0:this.getDelta(this.scriptChild),[o,r]=this.getDeltaW([e,s],[0,n]);t.combine(e,o,0),t.combine(s,r,i),t.h+=this.font.params.big_op_spacing5,t.clean()}}}function Ds(t){return class extends t{get underChild(){return this.childNodes[this.node.under]}get overChild(){return this.childNodes[this.node.over]}get subChild(){return this.underChild}get supChild(){return this.overChild}constructor(...t){super(...t),this.stretchChildren()}computeBBox(t){if(this.hasMovableLimits())return void super.computeBBox(t);t.empty();const e=this.overChild.getOuterBBox(),s=this.baseChild.getOuterBBox(),i=this.underChild.getOuterBBox();this.node.attributes.get("accent")&&(s.h=Math.max(s.h,this.font.params.x_height*this.baseScale));const n=this.getOverKU(s,e)[1],o=this.getUnderKV(s,i)[1],r=this.getDelta(this.overChild),a=this.getDelta(this.underChild,!0),[h,d,l]=this.getDeltaW([s,i,e],[0,this.isLineBelow?0:-a,this.isLineAbove?0:r]);t.combine(s,h,0),t.combine(e,l,n),t.combine(i,d,o);const c=this.font.params.big_op_spacing5;t.h+=c,t.d+=c,t.clean()}}}function Os(t){var e;return(e=class extends t{get baseChild(){return this.childNodes[this.node.base]}get scriptChild(){return this.childNodes[1]}getBaseCore(){let t=this.getSemanticBase()||this.childNodes[0],e=null==t?void 0:t.node;for(;t&&(1===t.childNodes.length&&(e.isKind("mrow")||e.isKind("TeXAtom")||e.isKind("mstyle")||e.isKind("mpadded")&&!e.getProperty("vbox")||e.isKind("mphantom")||e.isKind("semantics"))||e.isKind("munderover")&&t.isMathAccent);)this.setBaseAccentsFor(t),t=t.childNodes[0],e=null==t?void 0:t.node;return t||(this.baseHasAccentOver=this.baseHasAccentUnder=!1),t||this.childNodes[0]}setBaseAccentsFor(t){t.node.isKind("munderover")&&(null===this.baseHasAccentOver&&(this.baseHasAccentOver=!!t.node.attributes.get("accent")),null===this.baseHasAccentUnder&&(this.baseHasAccentUnder=!!t.node.attributes.get("accentunder")))}getSemanticBase(){const t=this.node.attributes.getExplicit("data-semantic-fencepointer");return this.getBaseFence(this.baseChild,t)}getBaseFence(t,e){if(!t||!t.node.attributes||!e)return null;if(t.node.attributes.getExplicit("data-semantic-id")===e)return t;for(const s of t.childNodes){const t=this.getBaseFence(s,e);if(t)return t}return null}getBaseScale(){let t=this.baseCore,e=1;for(;t&&t!==this;){e*=t.getOuterBBox().rscale,t=t.parent}return e}getBaseIc(){return this.baseCore.getOuterBBox().ic*this.baseScale}getAdjustedIc(){return this.baseIc?1.05*this.baseIc+.05:0}isCharBase(){const t=this.baseCore;return(t.node.isKind("mo")&&null===t.size||t.node.isKind("mi")||t.node.isKind("mn"))&&1===t.bbox.rscale&&1===Array.from(t.getText()).length}checkLineAccents(){if(this.node.isKind("munderover"))if(this.node.isKind("mover"))this.isLineAbove=this.isLineAccent(this.scriptChild);else if(this.node.isKind("munder"))this.isLineBelow=this.isLineAccent(this.scriptChild);else{const t=this;this.isLineAbove=this.isLineAccent(t.overChild),this.isLineBelow=this.isLineAccent(t.underChild)}}isLineAccent(t){const e=t.coreMO().node;return e.isToken&&"\u2015"===e.getText()}getBaseWidth(){const t=this.baseChild.getLineBBox(this.baseChild.breakCount);return t.w*t.rscale-(this.baseRemoveIc?this.baseIc:0)+this.font.params.extra_ic}getOffset(){return[0,0]}baseCharZero(t){const e=!!this.baseCore.node.attributes.get("largeop"),s=!(!this.baseCore.node.isKind("mo")||!this.baseCore.size),i=this.baseScale;return!this.baseIsChar||e||s||1!==i?t:0}getV(){const t=this.baseCore,e=t.getLineBBox(t.breakCount),s=this.scriptChild.getOuterBBox(),i=this.font.params,n=this.length2em(this.node.attributes.get("subscriptshift"),i.sub1);return Math.max(this.baseCharZero(e.d*this.baseScale+i.sub_drop*s.rscale),n,s.h*s.rscale-.8*i.x_height)}getU(){const t=this.baseCore,e=t.getLineBBox(t.breakCount),s=this.scriptChild.getOuterBBox(),i=this.font.params,n=this.node.attributes.getList("displaystyle","superscriptshift"),o=this.node.getProperty("texprimestyle")?i.sup3:n.displaystyle?i.sup1:i.sup2,r=this.length2em(n.superscriptshift,o);return Math.max(this.baseCharZero(e.h*this.baseScale-i.sup_drop*s.rscale),r,s.d*s.rscale+1/4*i.x_height)}hasMovableLimits(){const t=this.node.attributes.get("displaystyle"),e=this.baseChild.coreMO().node;return!t&&!!e.attributes.get("movablelimits")}getOverKU(t,e){const s=this.node.attributes.get("accent"),i=this.font.params,n=e.d*e.rscale,o=i.rule_thickness*i.separation_factor,r=this.baseHasAccentOver?o:0,a=this.isLineAbove?3*i.rule_thickness:o,h=(s?a:Math.max(i.big_op_spacing1,i.big_op_spacing3-Math.max(0,n)))-r;return[h,t.h*t.rscale+h+n]}getUnderKV(t,e){const s=this.node.attributes.get("accentunder"),i=this.font.params,n=e.h*e.rscale,o=i.rule_thickness*i.separation_factor,r=this.baseHasAccentUnder?o:0,a=this.isLineBelow?3*i.rule_thickness:o,h=(s?a:Math.max(i.big_op_spacing2,i.big_op_spacing4-n))-r;return[h,-(t.d*t.rscale+h+n)]}getDeltaW(t,e=[0,0,0]){const s=this.node.attributes.get("align"),i=t.map((t=>t.w*t.rscale));i[0]-=this.baseRemoveIc&&!this.baseCore.node.attributes.get("largeop")?this.baseIc:0;const n=Math.max(...i),o=[];let r=0;for(const t of i.keys())o[t]=("center"===s?(n-i[t])/2:"right"===s?n-i[t]:0)+e[t],o[t]<r&&(r=-o[t]);if(r)for(const t of o.keys())o[t]+=r;return[1,2].map((e=>o[e]+=t[e]?t[e].dx*t[0].rscale:0)),o}getDelta(t,e=!1){const s=this.node.attributes.get("accent");let{sk:i,ic:n}=this.baseCore.getOuterBBox();return s&&(i-=t.getOuterBBox().sk),((s&&!e?i:0)+this.font.skewIcFactor*n)*this.baseScale}stretchChildren(){const t=[];for(const e of this.childNodes)e.canStretch(Ft.Horizontal)&&t.push(e);const e=t.length,s=this.childNodes.length;if(e&&s>1){let i=0;const n=e>1&&e===s;for(const t of this.childNodes){const e=t.stretch.dir===Ft.None;if(n||e){const{w:s,rscale:n}=t.getOuterBBox(e);s*n>i&&(i=s*n)}}for(const e of t){const t=e.coreMO();null===t.size&&t.getStretchedVariant([i/e.coreRScale()])}}}constructor(t,e,s=null){super(t,e,s),this.baseScale=1,this.baseIc=0,this.baseRemoveIc=!1,this.baseIsChar=!1,this.baseHasAccentOver=null,this.baseHasAccentUnder=null,this.isLineAbove=!1,this.isLineBelow=!1,this.isMathAccent=!1;const i=this.baseCore=this.getBaseCore();i&&(this.setBaseAccentsFor(i),this.baseScale=this.getBaseScale(),this.baseIc=this.getBaseIc(),this.baseIsChar=this.isCharBase(),this.isMathAccent=this.baseIsChar&&this.scriptChild&&void 0!==this.scriptChild.coreMO().node.getProperty("mathaccent"),this.checkLineAccents(),this.baseRemoveIc=!this.isLineAbove&&!this.isLineBelow&&(!this.constructor.useIC||this.isMathAccent))}computeBBox(t,e=!1){t.empty(),t.append(this.baseChild.getOuterBBox()),this.appendScripts(t),t.clean(),this.setChildPWidths(e)}appendScripts(t){const e=this.getBaseWidth(),[s,i]=this.getOffset();return t.combine(this.scriptChild.getOuterBBox(),e+s,i),t.w+=this.font.params.scriptspace,t}get breakCount(){return this._breakCount<0&&(this._breakCount=this.node.isEmbellished?this.coreMO().embellishedBreakCount:this.node.linebreakContainer?0:this.childNodes[0].breakCount),this._breakCount}breakTop(t,e){return this.node.linebreakContainer||!this.parent||this.node.childIndex(e.node)?t:this.parent.breakTop(t,this)}computeLineBBox(t){const e=this.breakCount;if(!e)return Kt.from(this.getOuterBBox(),this.linebreakOptions.lineleading);const s=this.baseChild.getLineBBox(t).copy();return t<e?(0===t&&this.addLeftBorders(s),this.addMiddleBorders(s)):(this.appendScripts(s),this.addMiddleBorders(s),this.addRightBorders(s)),s}}).useIC=!0,e}function Ws(t){return class extends t{computeBBox(t,e=!1){if(this.childNodes.length){const{w:e,h:s,d:i}=this.childNodes[0].getBBox();t.w=e,t.h=s,t.d=i}}get breakCount(){return this.node.isEmbellished?this.coreMO().embellishedBreakCount:this.childNodes[0].breakCount}}}class Ts extends ze{constructor(){super(...arguments),this.dx=0,this.utext=""}toSVG(t){this.toEmbellishedSVG(t)||this.addChildren(this.standardSvgNodes(t))}toEmbellishedSVG(t){if(t.length<=1||!this.node.isEmbellished)return!1;const e=this.coreMO().embellishedBreakStyle,s=[];for(const[i,n]of[[t[0],"before"],[t[1],"after"]])e!==n?(this.toSVG([i]),s.push(this.dom[0]),this.place(0,0)):s.push(this.createSvgNodes([i])[0]);return this.dom=s,!0}addChildren(t){let e=0;for(const s of this.childNodes){s.toSVG(t);const i=s.getOuterBBox();s.dom&&s.place(e+i.L*i.rscale,0),e+=(i.L+i.w+i.R)*i.rscale}}standardSvgNodes(t){const e=this.createSvgNodes(t);return this.handleStyles(),this.handleScale(),this.handleBorder(),this.handleColor(),this.handleAttributes(),e}createSvgNodes(t){this.dom=t.map((t=>this.svg("g",{"data-mml-node":this.node.kind}))),t=this.handleHref(t);for(const e of t.keys())this.adaptor.append(t[e],this.dom[e]);return this.dom}handleHref(t){const e=this.node.attributes.get("href");if(!e)return t;let s=0;const i=this.node.isEmbellished&&!this.node.isKind("mo");return t.map((t=>{t=this.adaptor.append(t,this.svg("a",{href:e}));const{h:n,d:o,w:r}=i?this.getOuterBBox():this.getLineBBox(s);return 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0:t.get("background-color"));if(i&&this.dom.forEach((t=>{e.setAttribute(t,"fill",i),e.setAttribute(t,"stroke",i)})),n){let t=0;const s=this.node.isEmbellished&&!this.node.isKind("mo");this.dom.forEach((i=>{const{h:o,d:r,w:a}=s?this.getOuterBBox():this.getLineBBox(t++),h=this.svg("rect",{fill:n,x:1===t||s?this.fixed(-this.dx):0,y:this.fixed(-r),width:this.fixed(a),height:this.fixed(o+r),"data-bgcolor":!0}),d=e.firstChild(i);d?e.insert(h,d):e.append(i,h)}))}}handleBorder(){var t;const e=null===(t=this.styleData)||void 0===t?void 0:t.border;if(!e)return;const s=Ts.borderFuzz,i=this.adaptor;let n=0;const o=this.dom.length-1,r=this.node.isEmbellished&&!this.node.isKind("mo");for(const t of this.dom){const a=o&&n?0:1,h=o&&n!==o?0:1,d=r?this.getOuterBBox():this.getLineBBox(n++),[l,c,u]=[d.h+s,d.d+s,d.w+s],p=[u,l],m=[-s,l],g=[u,-c],f=[-s,-c],x=[u-h*e.width[1],l-e.width[0]],b=[-s+a*e.width[3],l-e.width[0]],A=[u-h*e.width[1],-c+e.width[2]],B=[-s+a*e.width[3],-c+e.width[2]],y=[[m,p,x,b],[g,p,x,A],[f,g,A,B],[f,m,b,B]],v=i.firstChild(t),k=a*this.dx;for(const s of[0,1,2,3]){if(!e.width[s]||3===s&&!a||1===s&&!h)continue;const i=y[s];"dashed"===e.style[s]||"dotted"===e.style[s]?this.addBorderBroken(i,e.color[s],e.style[s],e.width[s],s,t,k):this.addBorderSolid(i,e.color[s],v,t,k)}}}addBorderSolid(t,e,s,i,n){const o=this.svg("polygon",{points:t.map((([t,e])=>`${this.fixed(t-n)},${this.fixed(e)}`)).join(" "),stroke:"none"});e&&this.adaptor.setAttribute(o,"fill",e),s?this.adaptor.insert(o,s):this.adaptor.append(i,o)}addBorderBroken(t,e,s,i,n,o,r){const 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e=this.surd,s=this.childNodes[this.base],i=this.root?this.childNodes[this.root]:null,n=e.getBBox(),o=s.getOuterBBox(),r=this.getPQ(n)[1],a=this.font.params.surd_height*this.bbox.scale,h=o.h+r+a,d=this.standardSvgNodes(t);e.toSVG(d);const l=this.addRoot(d,i,n,h),c=this.adaptor.append(d[0],this.svg("g"));s.toSVG([c]),e.place(l,h-n.h),s.place(l+n.w,0),this.adaptor.append(d[d.length-1],this.svg("rect",{width:this.fixed(o.w),height:this.fixed(a),x:this.fixed(l+n.w),y:this.fixed(h-a)}))}},t.kind=ui.prototype.kind,t}(),mi=MathJax._.core.MmlTree.MmlNodes.mroot.MmlMroot,gi=function(){var t;const e=ls(pi);return t=class extends e{addRoot(t,e,s,i){e.toSVG(t);const[n,o,r]=this.getRootDimens(s,i),a=e.getOuterBBox();return e.place(r*a.rscale,o),n}},t.kind=mi.prototype.kind,t}(),fi=MathJax._.core.MmlTree.MmlNodes.mfenced.MmlMfenced,xi=function(){var t;const e=ts(Ts);return(t=class extends e{toSVG(t){const e=this.standardSvgNodes(t);this.setChildrenParent(this.mrow),this.mrow.toSVG(e),this.setChildrenParent(this)}setChildrenParent(t){for(const e of this.childNodes)e.parent=t}}).kind=fi.prototype.kind,t}(),bi=function(){var t;const e=Os(Ts);return(t=class extends e{toSVG(t){if(this.toEmbellishedSVG(t))return;const e=this.standardSvgNodes(t),s=this.getBaseWidth(),[i,n]=this.getOffset();this.baseChild.toSVG(e),this.baseChild.place(0,0),this.scriptChild.toSVG([e[e.length-1]]),this.scriptChild.place(s+i,n)}}).kind="scriptbase",t}(),Ai=MathJax._.core.MmlTree.MmlNodes.msubsup,Bi=Ai.MmlMsubsup,yi=Ai.MmlMsub,vi=Ai.MmlMsup,ki=function(){var t;const e=fs(bi);return(t=class extends e{}).kind=yi.prototype.kind,t}(),wi=function(){var t;const e=xs(bi);return(t=class extends e{}).kind=vi.prototype.kind,t}(),Si=function(){var t;const e=bs(bi);return(t=class extends e{toSVG(t){if(this.toEmbellishedSVG(t))return;const e=this.standardSvgNodes(t),[s,i,n]=[this.baseChild,this.supChild,this.subChild],o=this.getBaseWidth(),r=this.getAdjustedIc(),[a,h]=this.getUVQ();s.toSVG(e);const d=[e[e.length-1]];i.toSVG(d),n.toSVG(d),s.place(0,0),n.place(o+(this.baseIsChar?0:r),h),i.place(o+r,a)}}).kind=Bi.prototype.kind,t}(),Ci=MathJax._.core.MmlTree.MmlNodes.munderover,Mi=Ci.MmlMunderover,Ni=Ci.MmlMunder,Li=Ci.MmlMover,Di=function(){var t;const e=Ns(ki);return(t=class extends e{toSVG(t){if(this.toEmbellishedSVG(t))return;if(this.hasMovableLimits())return void super.toSVG(t);const e=this.standardSvgNodes(t),[s,i]=[this.baseChild,this.scriptChild],[n,o]=[s.getOuterBBox(),i.getOuterBBox()];s.toSVG(e),i.toSVG(e);const r=this.isLineBelow?0:this.getDelta(this.scriptChild,!0),a=this.getUnderKV(n,o)[1],[h,d]=this.getDeltaW([n,o],[0,-r]);s.place(h,0),i.place(d,a)}}).kind=Ni.prototype.kind,t}(),Oi=function(){var t;const e=Ls(wi);return(t=class extends e{toSVG(t){if(this.toEmbellishedSVG(t))return;if(this.hasMovableLimits())return void super.toSVG(t);const e=this.standardSvgNodes(t),[s,i]=[this.baseChild,this.scriptChild],[n,o]=[s.getOuterBBox(),i.getOuterBBox()];s.toSVG(e),i.toSVG(e);const r=this.isLineAbove?0:this.getDelta(this.scriptChild),a=this.getOverKU(n,o)[1],[h,d]=this.getDeltaW([n,o],[0,r]);s.place(h,0),i.place(d,a)}}).kind=Li.prototype.kind,t}(),Wi=function(){var t;const e=Ds(Si);return(t=class extends e{toSVG(t){if(this.toEmbellishedSVG(t))return;if(this.hasMovableLimits())return void super.toSVG(t);const e=this.standardSvgNodes(t),[s,i,n]=[this.baseChild,this.overChild,this.underChild],[o,r,a]=[s.getOuterBBox(),i.getOuterBBox(),n.getOuterBBox()];s.toSVG(e),n.toSVG(e),i.toSVG(e);const h=this.getDelta(this.overChild),d=this.getDelta(this.underChild,!0),l=this.getOverKU(o,r)[1],c=this.getUnderKV(o,a)[1],[u,p,m]=this.getDeltaW([o,a,r],[0,this.isLineBelow?0:-d,this.isLineAbove?0:h]);s.place(u,0),n.place(p,c),i.place(m,l)}}).kind=Mi.prototype.kind,t}(),Ti=MathJax._.core.MmlTree.MmlNodes.mmultiscripts,ji=Ti.MmlMmultiscripts;Ti.MmlMprescripts,Ti.MmlNone;function Ei(t){return{left:(t,e)=>0,center:(t,e)=>(e-t)/2,right:(t,e)=>e-t}[t]||((t,e)=>0)}const Vi=function(){var t;const e=rs(Si);return(t=class extends e{toSVG(t){if(this.toEmbellishedSVG(t))return;const e=this.standardSvgNodes(t),s=this.scriptData,i=this.node.getProperty("scriptalign")||"right left",[n,o]=Re(i+" "+i),[r,a]=this.getCombinedUV();let h=0;s.numPrescripts&&(h=this.addScripts(this.dom[0],this.font.params.scriptspace,r,a,this.firstPrescript,s.numPrescripts,n));const d=this.baseChild;d.toSVG(e),d.place(h,0),this.breakCount&&(h=0),h+=d.getLineBBox(d.breakCount).w,s.numScripts&&this.addScripts(this.dom[this.dom.length-1],h,r,a,1,s.numScripts,o)}addScripts(t,e,s,i,n,o,r){const a=this.adaptor,h=Ei(r),d=a.append(t,this.svg("g")),l=a.append(t,this.svg("g"));this.place(e,s,d),this.place(e,i,l);const c=n+2*o;let u=0;for(;n<c;){const[t,e]=[this.childNodes[n++],this.childNodes[n++]],[s,i]=[t.getOuterBBox(),e.getOuterBBox()],[o,r]=[s.rscale,i.rscale],a=Math.max(s.w*o,i.w*r);t.toSVG([l]),e.toSVG([d]),t.place(u+h(s.w*o,a),0),e.place(u+h(i.w*r,a),0),u+=a}return e+u}}).kind=ji.prototype.kind,t}(),Pi=MathJax._.core.MmlTree.MmlNodes.mtable.MmlMtable,Ii=function(){var t;const e=ks(Ts);return t=class extends e{placeRows(t){const e=this.node.attributes.get("equalrows"),{H:s,D:i}=this.getTableData(),n=this.getEqualRowHeight(),o=this.getRowHalfSpacing(),r=[this.fLine,...this.rLines,this.fLine];let a=this.getBBox().h-r[0];for(let h=0;h<this.numRows;h++){const 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s=t.adaptor,o=t.jax.container,r=t.node.factory.create("math",{},[t.childNodes[1].node]),a=t.html("mjx-tool",{},[t.html("mjx-tip")]),h=s.append(n,t.svg("foreignObject",{style:{display:"none"}},[a]));t.jax.processMath(t.jax.factory.wrap(r),s.firstChild(a)),t.childNodes[1].node.parent=t.node,t.setEventHandler("mouseover",(n=>{e.stopTimers(i,e),e.hoverTimer.set(i,setTimeout((()=>{s.setStyle(a,"left","0"),s.setStyle(a,"top","0"),s.append(o,a);const e=s.nodeBBox(a),n=s.nodeBBox(i),r=(n.right-e.left)/t.metrics.em+t.tipDx,h=(n.bottom-e.bottom)/t.metrics.em+t.tipDy;s.setStyle(a,"left",t.Px(r)),s.setStyle(a,"top",t.Px(h))}),e.postDelay)),n.stopPropagation()}),i),t.setEventHandler("mouseout",(t=>{e.stopTimers(i,e);const n=setTimeout((()=>s.append(h,a)),e.clearDelay);e.clearTimer.set(i,n),t.stopPropagation()}),i)}}},qe]],["statusline",[(t,e)=>{const s=t.childNodes[1];if(s&&s.node.isKind("mtext")){const i=t.adaptor,n=s.node.getText();t.dom.forEach((t=>i.setAttribute(t,"data-statusline",n))),t.setEventHandler("mouseover",(s=>{if(null===e.status){const s=i.body(i.document);e.status=i.append(s,t.html("mjx-status",{},[t.text(n)]))}s.stopPropagation()})),t.setEventHandler("mouseout",(t=>{e.status&&(i.remove(e.status),e.status=null),t.stopPropagation()}))}},{status:null}]]]),t}(),Ui=MathJax._.core.MmlTree.MmlNodes.menclose.MmlMenclose,Ki={top:(t,e,s,i)=>[0,t-i,s,t-i],right:(t,e,s,i)=>[s-i,-e,s-i,t],bottom:(t,e,s,i)=>[0,i-e,s,i-e],left:(t,e,s,i)=>[i,-e,i,t],vertical:(t,e,s,i)=>[s/2,t,s/2,-e],horizontal:(t,e,s,i)=>[0,(t-e)/2,s,(t-e)/2],up:(t,e,s,i)=>[i,i-e,s-i,t-i],down:(t,e,s,i)=>[i,t-i,s-i,i-e]},qi=function(t,e,s=""){const{h:i,d:n,w:o}=t.getBBox(),r=t.thickness/2;return $i(Ki[e](i,n,o,r),t,s)},$i=function(t,e,s){if(s){const i=e.getOffset(s);i&&("X"===s?(t[0]-=i,t[2]-=i):(t[1]-=i,t[3]-=i))}return t},Yi=function(t,e=""){return(s,i)=>{const 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this.svg("ellipse",{rx:this.fixed((t-i)/2),ry:this.fixed((e+s-i)/2),cx:this.fixed(t/2),cy:this.fixed((e-s)/2),fill:"none","stroke-width":this.fixed(i)})}path(t,...e){return this.svg("path",{d:e.map((t=>"string"==typeof t?t:this.fixed(t))).join(" "),style:{"stroke-width":this.fixed(this.thickness)},"stroke-linecap":"round","stroke-linejoin":t,fill:"none"})}fill(...t){return this.svg("path",{d:t.map((t=>"string"==typeof t?t:this.fixed(t))).join(" ")})}arrow(t,e,s,i="",n=0){const{w:o,h:r,d:a}=this.getBBox(),h=(t-o)/2,d=(r-a)/2,l=this.thickness,c=l/2,[u,p,m]=[l*this.arrowhead.x,l*this.arrowhead.y,l*this.arrowhead.dx],g=s?this.fill("M",o+h,d,"l",-(u+m),p,"l",m,c-p,"L",u-h,d+c,"l",m,p-c,"l",-(u+m),-p,"l",u+m,-p,"l",-m,p-c,"L",o+h-u,d-c,"l",-m,c-p,"Z"):this.fill("M",o+h,d,"l",-(u+m),p,"l",m,c-p,"L",-h,d+c,"l",0,-l,"L",o+h-u,d-c,"l",-m,c-p,"Z"),f=[];if(n&&f.push("X"===i?`translate(${this.fixed(-n)} 0)`:`translate(0 ${this.fixed(n)})`),e){const t=this.jax.fixed(180*-e/Math.PI);f.push(`rotate(${t} ${this.fixed(o/2)} ${this.fixed(d)})`)}return f.length&&this.adaptor.setAttribute(g,"transform",f.join(" ")),g}toSVG(t){const e=this.standardSvgNodes(t),s=this.getBBoxExtenders()[3],i={};s>0&&(i.transform="translate("+this.fixed(s)+", 0)");const n=this.adaptor.append(e[0],this.svg("g",i));this.renderChild?this.renderChild(this,n):(this.childNodes[0].toSVG([n]),this.childNodes[0].place(0,0));for(const t of Object.keys(this.notations)){const s=this.notations[t];s.renderChild||s.renderer(this,e[0])}}},t.kind=Ui.prototype.kind,t.notations=new 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