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ut={Variant:{NORMAL:"normal",BOLD:"bold",ITALIC:"italic",BOLDITALIC:"bold-italic",DOUBLESTRUCK:"double-struck",FRAKTUR:"fraktur",BOLDFRAKTUR:"bold-fraktur",SCRIPT:"script",BOLDSCRIPT:"bold-script",SANSSERIF:"sans-serif",BOLDSANSSERIF:"bold-sans-serif",SANSSERIFITALIC:"sans-serif-italic",SANSSERIFBOLDITALIC:"sans-serif-bold-italic",MONOSPACE:"monospace",INITIAL:"inital",TAILED:"tailed",LOOPED:"looped",STRETCHED:"stretched",CALLIGRAPHIC:"-tex-calligraphic",BOLDCALLIGRAPHIC:"-tex-bold-calligraphic",OLDSTYLE:"-tex-oldstyle",BOLDOLDSTYLE:"-tex-bold-oldstyle",MATHITALIC:"-tex-mathit"},Form:{PREFIX:"prefix",INFIX:"infix",POSTFIX:"postfix"},LineBreak:{AUTO:"auto",NEWLINE:"newline",NOBREAK:"nobreak",GOODBREAK:"goodbreak",BADBREAK:"badbreak"},LineBreakStyle:{BEFORE:"before",AFTER:"after",DUPLICATE:"duplicate",INFIXLINBREAKSTYLE:"infixlinebreakstyle"},IndentAlign:{LEFT:"left",CENTER:"center",RIGHT:"right",AUTO:"auto",ID:"id",INDENTALIGN:"indentalign"},IndentShift:{INDENTSHIFT:"indentshift"},LineThickness:{THIN:"thin",MEDIUM:"medium",THICK:"thick"},Notation:{LONGDIV:"longdiv",ACTUARIAL:"actuarial",PHASORANGLE:"phasorangle",RADICAL:"radical",BOX:"box",ROUNDEDBOX:"roundedbox",CIRCLE:"circle",LEFT:"left",RIGHT:"right",TOP:"top",BOTTOM:"bottom",UPDIAGONALSTRIKE:"updiagonalstrike",DOWNDIAGONALSTRIKE:"downdiagonalstrike",VERTICALSTRIKE:"verticalstrike",HORIZONTALSTRIKE:"horizontalstrike",NORTHEASTARROW:"northeastarrow",MADRUWB:"madruwb",UPDIAGONALARROW:"updiagonalarrow"},Align:{TOP:"top",BOTTOM:"bottom",CENTER:"center",BASELINE:"baseline",AXIS:"axis",LEFT:"left",RIGHT:"right"},Lines:{NONE:"none",SOLID:"solid",DASHED:"dashed"},Side:{LEFT:"left",RIGHT:"right",LEFTOVERLAP:"leftoverlap",RIGHTOVERLAP:"rightoverlap"},Width:{AUTO:"auto",FIT:"fit"},Actiontype:{TOGGLE:"toggle",STATUSLINE:"statusline",TOOLTIP:"tooltip",INPUT:"input"},Overflow:{LINBREAK:"linebreak",SCROLL:"scroll",ELIDE:"elide",TRUNCATE:"truncate",SCALE:"scale"},Unit:{EM:"em",EX:"ex",PX:"px",IN:"in",CM:"cm",MM:"mm",PT:"pt",PC:"pc"},Attr:{LATEX:"data-latex",LATEXITEM:"data-latex-item"}};class dt{constructor(t,e,r){this._string=t,this.configuration=r,this.macroCount=0,this.i=0,this.currentCS="",this.saveI=0;const s=Object.hasOwn(e,"isInner"),i=e.isInner;let n;if(delete e.isInner,e){n={};for(const t of Object.keys(e))n[t]=e[t]}this.configuration.pushParser(this),this.stack=new at(this.itemFactory,n,!s||i),this.Parse(),this.Push(this.itemFactory.create("stop")),this.updateResult(this.string,this.i),this.stack.env=n}get options(){return this.configuration.options}get itemFactory(){return this.configuration.itemFactory}get tags(){return this.configuration.tags}set string(t){this._string=t}get string(){return this._string}parse(t,e){const r=this.saveI;this.saveI=this.i;const s=this.configuration.handlers.get(t).parse(e);return this.updateResult(e[1],r),this.saveI=r,s}lookup(t,e){return this.configuration.handlers.get(t).lookup(e)}contains(t,e){return this.configuration.handlers.get(t).contains(e)}toString(){let t="";for(const e of Array.from(this.configuration.handlers.keys()))t+=e+": "+this.configuration.handlers.get(e)+"\n";return t}Parse(){let t;for(;this.i<this.string.length;)t=this.getCodePoint(),this.i+=t.length,this.parse(st.CHARACTER,[this,t])}Push(t){t instanceof ht&&(t.startI=this.saveI,t.stopI=this.i,t.startStr=this.string),t instanceof z&&t.isInferred?this.PushAll(t.childNodes):this.stack.Push(t)}PushAll(t){for(const e of t)this.stack.Push(e)}mml(){if(!this.stack.Top().isKind("mml"))return null;const t=this.stack.Top().First;return this.configuration.popParser(),t.attributes.set(ut.Attr.LATEX,this.string),t}convertDelimiter(t){var e;const r=this.lookup(st.DELIMITER,t);return null!==(e=null==r?void 0:r.char)&&void 0!==e?e:null}getCodePoint(){const t=this.string.codePointAt(this.i);return void 0===t?"":String.fromCodePoint(t)}nextIsSpace(){return!!this.string.charAt(this.i).match(/\s/)}GetNext(){for(;this.nextIsSpace();)this.i++;return this.getCodePoint()}GetCS(){const t=this.string.slice(this.i).match(/^(([a-z]+) ?|[\uD800-\uDBFF].|.)/i);return t?(this.i+=t[0].length,t[2]||t[1]):(this.i++," ")}GetArgument(t,e=!1){switch(this.GetNext()){case"":if(!e)throw new ct("MissingArgFor","Missing argument for %1",this.currentCS);return null;case"}":if(!e)throw new ct("ExtraCloseMissingOpen","Extra close brace or missing open brace");return null;case"\\":return this.i++,"\\"+this.GetCS();case"{":{const t=++this.i;let e=1;for(;this.i<this.string.length;)switch(this.string.charAt(this.i++)){case"\\":this.i++;break;case"{":e++;break;case"}":if(0===--e)return this.string.slice(t,this.i-1)}throw new ct("MissingCloseBrace","Missing close brace")}}const r=this.getCodePoint();return this.i+=r.length,r}GetBrackets(t,e,r=!1){if("["!==this.GetNext())return e;const s=++this.i;let i=0,n=0;for(;this.i<this.string.length;)switch(this.string.charAt(this.i++)){case"{":i++;break;case"\\":this.i++;break;case"}":if(i--<=0)throw new ct("ExtraCloseLooking","Extra close brace while looking for %1","']'");break;case"[":0===i&&n++;break;case"]":if(0===i){if(!r||0===n)return this.string.slice(s,this.i-1);n--}}throw new ct("MissingCloseBracket","Could not find closing ']' for argument to %1",this.currentCS)}GetDelimiter(t,e=!1){let r=this.GetNext();if(this.i+=r.length,this.i<=this.string.length&&("\\"===r?r+=this.GetCS():"{"===r&&e&&(this.i--,r=this.GetArgument(t).trim()),this.contains(st.DELIMITER,r)))return this.convertDelimiter(r);throw new ct("MissingOrUnrecognizedDelim","Missing or unrecognized delimiter for %1",this.currentCS)}GetDimen(t){if("{"===this.GetNext()){const e=this.GetArgument(t),[r,s]=nt.matchDimen(e);if(r)return r+s}else{const t=this.string.slice(this.i),[e,r,s]=nt.matchDimen(t,!0);if(e)return this.i+=s,e+r}throw new ct("MissingDimOrUnits","Missing dimension or its units for %1",this.currentCS)}GetUpTo(t,e){for(;this.nextIsSpace();)this.i++;const r=this.i;let s=0;for(;this.i<this.string.length;){const t=this.i;let i=this.GetNext();switch(this.i+=i.length,i){case"\\":i+=this.GetCS();break;case"{":s++;break;case"}":if(0===s)throw new ct("ExtraCloseLooking","Extra close brace while looking for %1",e);s--}if(0===s&&i===e)return this.string.slice(r,t)}throw new ct("TokenNotFoundForCommand","Could not find %1 for %2",e,this.currentCS)}ParseArg(t){return new dt(this.GetArgument(t),this.stack.env,this.configuration).mml()}ParseUpTo(t,e){return new dt(this.GetUpTo(t,e),this.stack.env,this.configuration).mml()}GetDelimiterArg(t){const e=nt.trimSpaces(this.GetArgument(t));if(""===e)return null;if(this.contains(st.DELIMITER,e))return e;throw new ct("MissingOrUnrecognizedDelim","Missing or unrecognized delimiter for %1",this.currentCS)}GetStar(){const t="*"===this.GetNext();return t&&this.i++,t}create(t,...e){const r=this.configuration.nodeFactory.create(t,...e);return r.isToken&&r.attributes.hasExplicit("mathvariant")&&"-"===r.attributes.get("mathvariant").charAt(0)&&r.setProperty("ignore-variant",!0),r}updateResult(t,e){const r=this.stack.Prev(!0);if(!r)return;const s=r.attributes.get(ut.Attr.LATEXITEM);if(void 0!==s)return void r.attributes.set(ut.Attr.LATEX,s);let i=(e=e<this.saveI?this.saveI:e)!==this.i?this.string.slice(e,this.i):t;if(i=i.trim(),i)if("\\"===t&&(i="\\"+i),"^"!==r.attributes.get(ut.Attr.LATEX)||"^"===i||"\\^"===i)if("_"!==r.attributes.get(ut.Attr.LATEX)||"_"===i||"\\_"===i)"}"!==i?r.attributes.set(ut.Attr.LATEX,i):this.composeBraces(r);else if(r.childNodes[1]&&("}"===i?this.composeBraces(r.childNodes[1]):r.childNodes[1].attributes.set(ut.Attr.LATEX,i)),r.childNodes[2]){const t=r.childNodes[2].attributes.get(ut.Attr.LATEX);this.composeLatex(r,`^${t}_`,0,1)}else this.composeLatex(r,"_",0,1);else if(r.childNodes[2]&&("}"===i?this.composeBraces(r.childNodes[2]):r.childNodes[2].attributes.set(ut.Attr.LATEX,i)),r.childNodes[1]){const t=r.childNodes[1].attributes.get(ut.Attr.LATEX);this.composeLatex(r,`_${t}^`,0,2)}else this.composeLatex(r,"^",0,2)}composeLatex(t,e,r,s){if(!t.childNodes[r]||!t.childNodes[s])return;const i=(t.childNodes[r].attributes.get(ut.Attr.LATEX)||"")+e+t.childNodes[s].attributes.get(ut.Attr.LATEX);t.attributes.set(ut.Attr.LATEX,i)}composeBraces(t){const e=this.composeBracedContent(t);t.attributes.set(ut.Attr.LATEX,`{${e}}`)}composeBracedContent(t){var e,r;const s=(null===(e=t.childNodes[0])||void 0===e?void 0:e.childNodes)||[];let i="";for(const t of s){const e=(null===(r=null==t?void 0:t.attributes)||void 0===r?void 0:r.get(ut.Attr.LATEX))||"";e&&(i+=i&&i.match(/[a-zA-Z]$/)&&e.match(/^[a-zA-Z]/)?" "+e:e)}return i}}const mt=MathJax._.core.Tree.Factory.AbstractFactory;class pt extends ht{}class gt extends mt{constructor(){super(...arguments),this.defaultKind="dummy",this.configuration=null}}gt.DefaultStackItems={[pt.prototype.kind]:pt};const ft=gt;class bt{constructor(){this.mmlFactory=null,this.factory={node:bt.createNode,token:bt.createToken,text:bt.createText,error:bt.createError}}static createNode(t,e,r=[],s={},i){const n=t.mmlFactory.create(e);return n.setChildren(r),i&&n.appendChild(i),V.setProperties(n,s),n}static createToken(t,e,r={},s=""){const i=t.create("text",s);return t.create("node",e,[],r,i)}static createText(t,e){return null==e?null:t.mmlFactory.create("text").setText(e)}static createError(t,e){const r=t.create("text",e),s=t.create("node","mtext",[],{},r);return t.create("node","merror",[s],{"data-mjx-error":e})}setMmlFactory(t){this.mmlFactory=t}set(t,e){this.factory[t]=e}setCreators(t){for(const e in t)this.set(e,t[e])}create(t,...e){const r=(this.factory[t]||this.factory.node)(this,e[0],...e.slice(1));return"node"===t&&this.configuration.addNode(e[0],r),r}get(t){return this.factory[t]}}const yt=MathJax._.util.Entities,At=(yt.options,yt.entities);yt.add,yt.remove,yt.translate,yt.numeric;class kt{static oneof(...t){return new this("string",(e=>t.includes(e)),(t=>t))}constructor(t,e,r){this.name=t,this.verify=e,this.convert=r}}const vt={boolean:new kt("boolean",(t=>"true"===t||"false"===t),(t=>"true"===t)),number:new kt("number",(t=>!!t.match(/^[-+]?(?:\d+(?:\.\d*)?|\.\d+)(?:e[-+]?\d+)?$/)),(t=>parseFloat(t))),integer:new kt("integer",(t=>!!t.match(/^[-+]?\d+$/)),(t=>parseInt(t))),string:new kt("string",(t=>!0),(t=>t)),dimen:new kt("dimen",(t=>null!==nt.matchDimen(t)[0]),(t=>t))};function Pt(t,e){if(0===e)return t.replace(/^\s+/,"").replace(/([^\\\s]|^)((?:\\\\)*(?:\\\s)?)?\s+$/,"$1$2");for(;e>0;)t=t.trim().slice(1,-1),e--;return t}function Tt(t,e,r=!1,s=!1){const i=t.length;let n=0,a="",o=0,c=0,l=!0;for(;o<i;){const s=t[o++];switch(s){case"\\":a+=s+(t[o++]||""),l=!1;continue;case" ":break;case"{":l&&c++,n++;break;case"}":if(!n)throw new ct("ExtraCloseMissingOpen","Extra close brace or missing open brace");n--,l=!1;break;default:if(!n&&e.includes(s))return[Pt(a,r?Math.min(1,c):c),s,t.slice(o)];c>n&&(c=n),l=!1}a+=s}if(n)throw new ct("ExtraOpenMissingClose","Extra open brace or missing close brace");return s&&c?["","",Pt(a,1)]:[Pt(a,r?Math.min(1,c):c),"",t.slice(o)]}const Mt={cols:(...t)=>t.map((t=>nt.em(t))).join(" "),fenced(t,e,r,s,i="",n=""){const a=t.nodeFactory,o=a.create("node","mrow",[],{open:e,close:s,texClass:H.INNER});let c;if(i)c=new dt("\\"+i+"l"+e,t.parser.stack.env,t).mml();else{const t=a.create("text",e);c=a.create("node","mo",[],{fence:!0,stretchy:!0,symmetric:!0,texClass:H.OPEN},t)}if(V.appendChildren(o,[c,r]),i)c=new dt("\\"+i+"r"+s,t.parser.stack.env,t).mml();else{const t=a.create("text",s);c=a.create("node","mo",[],{fence:!0,stretchy:!0,symmetric:!0,texClass:H.CLOSE},t)}return n&&c.attributes.set("mathcolor",n),V.appendChildren(o,[c]),o},fixedFence(t,e,r,s){const i=t.nodeFactory.create("node","mrow",[],{open:e,close:s,texClass:H.ORD});return e&&V.appendChildren(i,[Mt.mathPalette(t,e,"l")]),V.isType(r,"mrow")?V.appendChildren(i,V.getChildren(r)):V.appendChildren(i,[r]),s&&V.appendChildren(i,[Mt.mathPalette(t,s,"r")]),i},mathPalette(t,e,r){"{"!==e&&"}"!==e||(e="\\"+e);const s="{\\big"+r+" "+e+"}";return new dt("\\mathchoice"+("{\\bigg"+r+" "+e+"}")+s+s+s,{},t).mml()},fixInitialMO(t,e){for(let r=0,s=e.length;r<s;r++){const s=e[r];if(s&&!V.isType(s,"mspace")&&(!V.isType(s,"TeXAtom")||V.getChildren(s)[0]&&V.getChildren(V.getChildren(s)[0]).length)){if(V.isEmbellished(s)||V.isType(s,"TeXAtom")&&V.getTexClass(s)===H.REL){const r=t.nodeFactory.create("node","mi");e.unshift(r)}break}}},internalMath(t,e,r,s){if(e=e.replace(/ +/g," "),t.configuration.options.internalMath)return t.configuration.options.internalMath(t,e,r,s);const i=s||t.stack.env.font,n=i?{mathvariant:i}:{};let a,o,c=[],l=0,h=0,u="",d=0;if(e.match(/\\?[${}\\]|\\\(|\\(?:eq)?ref\s*\{|\\U/)){for(;l<e.length;)if(a=e.charAt(l++),"$"===a)"$"===u&&0===d?(o=t.create("node","TeXAtom",[new dt(e.slice(h,l-1),{},t.configuration).mml()]),c.push(o),u="",h=l):""===u&&(h<l-1&&c.push(Mt.internalText(t,e.slice(h,l-1),n)),u="$",h=l);else if("{"===a&&""!==u)d++;else if("}"===a)if("}"===u&&0===d){const r=new dt(e.slice(h,l),{},t.configuration).mml();o=t.create("node","TeXAtom",[r],n),c.push(o),u="",h=l}else""!==u&&d&&d--;else if("\\"===a)if(""===u&&e.substring(l).match(/^(eq)?ref\s*\{/)){const r=RegExp["$&"].length;h<l-1&&c.push(Mt.internalText(t,e.slice(h,l-1),n)),u="}",h=l-1,l+=r}else if(a=e.charAt(l++),"("===a&&""===u)h<l-2&&c.push(Mt.internalText(t,e.slice(h,l-2),n)),u=")",h=l;else if(")"===a&&")"===u&&0===d)o=t.create("node","TeXAtom",[new dt(e.slice(h,l-2),{},t.configuration).mml()]),c.push(o),u="",h=l;else if(a.match(/[${}\\]/)&&""===u)l--,e=e.substring(0,l-1)+e.substring(l);else if("U"===a){const t=e.substring(l).match(/^\s*(?:([0-9A-F])|\{\s*([0-9A-F]+)\s*\})/);if(!t)throw new ct("BadRawUnicode","Argument to %1 must a hexadecimal number with 1 to 6 digits","\\U");const r=String.fromCodePoint(parseInt(t[1]||t[2],16));e=e.substring(0,l-2)+r+e.substring(l+t[0].length),l=l-2+r.length}if(""!==u)throw new ct("MathNotTerminated","Math mode is not properly terminated")}return h<e.length&&c.push(Mt.internalText(t,e.slice(h),n)),null!=r?c=[t.create("node","mstyle",c,{displaystyle:!1,scriptlevel:r})]:c.length>1&&(c=[t.create("node","mrow",c)]),c},internalText(t,e,r){e=e.replace(/\n+/g," ").replace(/^ +/,At.nbsp).replace(/ +$/,At.nbsp);const s=t.create("text",e);return t.create("node","mtext",[],r,s)},underOver(t,e,r,s,i){if(Mt.checkMovableLimits(e),V.isType(e,"munderover")&&V.isEmbellished(e)){V.setProperties(V.getCoreMO(e),{lspace:0,rspace:0});const r=t.create("node","mo",[],{rspace:0});e=t.create("node","mrow",[r,e])}const n=t.create("node","munderover",[e]);V.setChild(n,"over"===s?n.over:n.under,r);let a=n;return i&&(a=t.create("node","TeXAtom",[t.create("node","mstyle",[n],{displaystyle:!0,scriptlevel:0})],{texClass:H.OP,movesupsub:!0})),V.setProperty(a,"subsupOK",!0),a},checkMovableLimits(t){const e=V.isType(t,"mo")?V.getForm(t):null;(V.getProperty(t,"movablelimits")||e&&e[3]&&e[3].movablelimits)&&V.setProperties(t,{movablelimits:!1})},setArrayAlign:(t,e,r)=>(r||(e=nt.trimSpaces(e||"")),"t"===e?t.arraydef.align="baseline 1":"b"===e?t.arraydef.align="baseline -1":"c"===e?t.arraydef.align="axis":e&&(r?(r.string=`[${e}]`+r.string.slice(r.i),r.i=0):t.arraydef.align=e),t),substituteArgs(t,e,r){let s="",i="",n=0;for(;n<r.length;){let a=r.charAt(n++);if("\\"===a)s+=a+r.charAt(n++);else if("#"===a)if(a=r.charAt(n++),"#"===a)s+=a;else{if(!a.match(/[1-9]/)||parseInt(a,10)>e.length)throw new ct("IllegalMacroParam","Illegal macro parameter reference");i=Mt.addArgs(t,Mt.addArgs(t,i,s),e[parseInt(a,10)-1]),s=""}else s+=a}return Mt.addArgs(t,i,s)},addArgs(t,e,r){if(r.match(/^[a-z]/i)&&e.match(/(^|[^\\])(\\\\)*\\[a-z]+$/i)&&(e+=" "),e.length+r.length>t.configuration.options.maxBuffer)throw new ct("MaxBufferSize","MathJax internal buffer size exceeded; is there a recursive macro call?");return e+r},checkMaxMacros(t,e=!0){if(!(++t.macroCount<=t.configuration.options.maxMacros))throw e?new ct("MaxMacroSub1","MathJax maximum macro substitution count exceeded; is here a recursive macro call?"):new ct("MaxMacroSub2","MathJax maximum substitution count exceeded; is there a recursive latex environment?")},checkEqnEnv(t,e=!0){const r=t.stack.Top(),s=r.First;if(!(r.getProperty("nestable")&&e&&!s||r.getProperty("nestStart"))&&(!r.isKind("start")||s))throw new ct("ErroneousNestingEq","Erroneous nesting of equation structures")},copyNode(t,e){const r=t.copy(),s=e.configuration;return r.walkTree((t=>{s.addNode(t.kind,t);const e=(t.getProperty("in-lists")||"").split(/,/);for(const r of e)r&&s.addNode(r,t)})),r},mmlFilterAttribute:(t,e,r)=>r,getFontDef(t){const e=t.stack.env.font;return e?{mathvariant:e}:{}},keyvalOptions(t,e=null,r=!1,s=!1){const i=function(t,e=!1){const r={};let s,i,n,a=t,o=!0;for(;a;)[i,s,a]=Tt(a,["=",","],e,o),o=!1,"="===s?([n,s,a]=Tt(a,[","],e),n="false"===n||"true"===n?JSON.parse(n):n,r[i]=n):i&&(r[i]=!0);return r}(t,s);if(e)for(const t of Object.keys(i))if(Object.hasOwn(e,t)){if(e[t]instanceof kt){const r=e[t],s=String(i[t]);if(!r.verify(s))throw new ct("InvalidValue","Value for key '%1' is not of the expected type",t);i[t]=r.convert(s)}}else{if(r)throw new ct("InvalidOption","Invalid option: %1",t);delete i[t]}return i},isLatinOrGreekChar:t=>!!t.normalize("NFD").match(/[a-zA-Z\u0370-\u03F0]/)};class wt{constructor(){this.columnHandler={l:t=>t.calign[t.j++]="left",c:t=>t.calign[t.j++]="center",r:t=>t.calign[t.j++]="right",p:t=>this.getColumn(t,"top"),m:t=>this.getColumn(t,"middle"),b:t=>this.getColumn(t,"bottom"),w:t=>this.getColumn(t,"top",""),W:t=>this.getColumn(t,"top",""),"|":t=>this.addRule(t,"solid"),":":t=>this.addRule(t,"dashed"),">":t=>t.cstart[t.j]=(t.cstart[t.j]||"")+this.getBraces(t),"<":t=>t.cend[t.j-1]=(t.cend[t.j-1]||"")+this.getBraces(t),"@":t=>this.addAt(t,this.getBraces(t)),"!":t=>this.addBang(t,this.getBraces(t)),"*":t=>this.repeat(t),P:t=>this.macroColumn(t,">{$}p{#1}<{$}",1),M:t=>this.macroColumn(t,">{$}m{#1}<{$}",1),B:t=>this.macroColumn(t,">{$}b{#1}<{$}",1)," ":t=>{}},this.MAXCOLUMNS=1e4}process(t,e,r){const s={parser:t,template:e,i:0,j:0,c:"",cwidth:[],calign:[],cspace:[],clines:[],cstart:r.cstart,cend:r.cend,ralign:r.ralign,cextra:r.cextra};let i=0;for(;s.i<s.template.length;){if(i++>this.MAXCOLUMNS)throw new ct("MaxColumns","Too many column specifiers (perhaps looping column definitions?)");const t=s.template.codePointAt(s.i),e=s.c=String.fromCodePoint(t);if(s.i+=e.length,!Object.hasOwn(this.columnHandler,e))throw new ct("BadPreamToken","Illegal pream-token (%1)",e);this.columnHandler[e](s)}this.setColumnAlign(s,r),this.setColumnWidths(s,r),this.setColumnSpacing(s,r),this.setColumnLines(s,r),this.setPadding(s,r)}setColumnAlign(t,e){e.arraydef.columnalign=t.calign.join(" ")}setColumnWidths(t,e){if(!t.cwidth.length)return;const r=[...t.cwidth];r.length<t.calign.length&&r.push("auto"),e.arraydef.columnwidth=r.map((t=>t||"auto")).join(" ")}setColumnSpacing(t,e){if(!t.cspace.length)return;const r=[...t.cspace];r.length<t.calign.length&&r.push("1em"),e.arraydef.columnspacing=r.slice(1).map((t=>t||"1em")).join(" ")}setColumnLines(t,e){if(!t.clines.length)return;const r=[...t.clines];r[0]&&e.frame.push(["left",r[0]]),r.length>t.calign.length?e.frame.push(["right",r.pop()]):r.length<t.calign.length&&r.push("none"),r.length>1&&(e.arraydef.columnlines=r.slice(1).map((t=>t||"none")).join(" "))}setPadding(t,e){if(!t.cextra[0]&&!t.cextra[t.calign.length-1])return;const r=t.calign.length-1,s=t.cspace,i=t.cextra[r]?s[r]:null;e.arraydef["data-array-padding"]=`${s[0]||".5em"} ${i||".5em"}`}getColumn(t,e,r="left"){t.calign[t.j]=r||this.getAlign(t),t.cwidth[t.j]=this.getDimen(t),t.ralign[t.j]=[e,t.cwidth[t.j],t.calign[t.j]],t.j++}getDimen(t){const e=this.getBraces(t);if(!nt.matchDimen(e)[0])throw new ct("MissingColumnDimOrUnits","Missing dimension or its units for %1 column declaration",t.c);return e}getAlign(t){const e=this.getBraces(t);return F(e.toLowerCase(),{l:"left",c:"center",r:"right"},"")}getBraces(t){for(;" "===t.template[t.i];)t.i++;if(t.i>=t.template.length)throw new ct("MissingArgForColumn","Missing argument for %1 column declaration",t.c);if("{"!==t.template[t.i])return t.template[t.i++];const e=++t.i;let r=1;for(;t.i<t.template.length;)switch(t.template.charAt(t.i++)){case"\\":t.i++;break;case"{":r++;break;case"}":if(0===--r)return t.template.slice(e,t.i-1)}throw new ct("MissingCloseBrace","Missing close brace")}macroColumn(t,e,r){const s=[];for(;r>0&&r--;)s.push(this.getBraces(t));t.template=Mt.substituteArgs(t.parser,s,e)+t.template.slice(t.i),t.i=0}addRule(t,e){t.clines[t.j]&&this.addAt(t,"\\,"),t.clines[t.j]=e,"0"===t.cspace[t.j]&&(t.cstart[t.j]="\\hspace{.5em}")}addAt(t,e){const{cstart:r,cspace:s,j:i}=t;t.cextra[i]=!0,t.calign[i]="center",t.clines[i]&&(".5em"===s[i]?r[i-1]+="\\hspace{.25em}":s[i]||(t.cend[i-1]=(t.cend[i-1]||"")+"\\hspace{.5em}")),r[i]=e,s[i]="0",s[++t.j]="0"}addBang(t,e){const{cstart:r,cspace:s,j:i}=t;t.cextra[i]=!0,t.calign[i]="center",r[i]=("0"===s[i]&&t.clines[i]?"\\hspace{.25em}":"")+e,s[i]||(s[i]=".5em"),s[++t.j]=".5em"}repeat(t){const e=this.getBraces(t),r=this.getBraces(t),s=parseInt(e);if(String(s)!==e)throw new ct("ColArgNotNum","First argument to %1 column specifier must be a number","*");t.template=new Array(s).fill(r).join("")+t.template.substring(t.i),t.i=0}}const xt=ut.Variant;class Ot{constructor(t,e=[]){this.options={},this.columnParser=new wt,this.packageData=new Map,this.parsers=[],this.root=null,this.nodeLists={},this.error=!1,this.handlers=t.handlers,this.nodeFactory=new bt,this.nodeFactory.configuration=this,this.nodeFactory.setCreators(t.nodes),this.itemFactory=new ft(t.items),this.itemFactory.configuration=this,I(this.options,...e),I(this.options,t.options),this.mathStyle=Ot.getVariant.get(this.options.mathStyle)||Ot.getVariant.get("TeX")}pushParser(t){this.parsers.unshift(t)}popParser(){this.parsers.shift()}get parser(){return this.parsers[0]}clear(){this.parsers=[],this.root=null,this.nodeLists={},this.error=!1,this.tags.resetTag()}addNode(t,e){let r=this.nodeLists[t];if(r||(r=this.nodeLists[t]=[]),r.push(e),e.kind!==t){const r=V.getProperty(e,"in-lists")||"",s=(r?r.split(/,/):[]).concat(t).join(",");V.setProperty(e,"in-lists",s)}}getList(t){const e=this.nodeLists[t]||[],r=[];for(const t of e)this.inTree(t)&&r.push(t);return this.nodeLists[t]=r,r}removeFromList(t,e){const r=this.nodeLists[t]||[];for(const t of e){const e=r.indexOf(t);e>=0&&r.splice(e,1)}}inTree(t){for(;t&&t!==this.root;)t=t.parent;return!!t}}Ot.getVariant=new Map([["TeX",(t,e)=>e&&t.match(/^[\u0391-\u03A9\u03F4]/)?xt.NORMAL:""],["ISO",t=>xt.ITALIC],["French",t=>t.normalize("NFD").match(/^[a-z]/)?xt.ITALIC:xt.NORMAL],["upright",t=>xt.NORMAL]]);const Et=Ot;class St{constructor(t="???",e=""){this.tag=t,this.id=e}}class Ct{constructor(t="",e=!1,r=!1,s=null,i="",n="",a=!1,o=""){this.env=t,this.taggable=e,this.defaultTags=r,this.tag=s,this.tagId=i,this.tagFormat=n,this.noTag=a,this.labelId=o}}class It{constructor(){this.counter=0,this.allCounter=0,this.configuration=null,this.ids={},this.allIds={},this.labels={},this.allLabels={},this.redo=!1,this.refUpdate=!1,this.currentTag=new Ct,this.history=[],this.stack=[],this.enTag=function(t,e){const r=this.configuration.nodeFactory,s=r.create("node","mtd",[t]),i=r.create("node","mlabeledtr",[e,s]);return r.create("node","mtable",[i],{side:this.configuration.options.tagSide,minlabelspacing:this.configuration.options.tagIndent,displaystyle:!0})}}start(t,e,r){this.currentTag&&this.stack.push(this.currentTag);const s=this.label;this.currentTag=new Ct(t,e,r),this.label=s}get env(){return this.currentTag.env}end(){this.history.push(this.currentTag);const t=this.label;this.currentTag=this.stack.pop(),t&&!this.label&&(this.label=t)}tag(t,e){this.currentTag.tag=t,this.currentTag.tagFormat=e?t:this.formatTag(t),this.currentTag.noTag=!1}notag(){this.tag("",!0),this.currentTag.noTag=!0}get noTag(){return this.currentTag.noTag}set label(t){this.currentTag.labelId=t}get label(){return this.currentTag.labelId}formatUrl(t,e){return e+"#"+encodeURIComponent(t)}formatTag(t){return"("+t+")"}formatRef(t){return this.formatTag(t)}formatId(t){return"mjx-eqn:"+t.replace(/\s/g,"_")}formatNumber(t){return t.toString()}autoTag(){null==this.currentTag.tag&&(this.counter++,this.tag(this.formatNumber(this.counter),!1))}clearTag(){this.tag(null,!0),this.currentTag.tagId=""}getTag(t=!1){if(t)return this.autoTag(),this.makeTag();const e=this.currentTag;return e.taggable&&!e.noTag&&(e.defaultTags&&this.autoTag(),e.tag)?this.makeTag():null}resetTag(){this.history=[],this.redo=!1,this.refUpdate=!1,this.clearTag()}reset(t=0){this.resetTag(),this.counter=this.allCounter=t,this.allLabels={},this.allIds={},this.label=""}startEquation(t){this.history=[],this.stack=[],this.clearTag(),this.currentTag=new Ct("",void 0,void 0),this.labels={},this.ids={},this.counter=this.allCounter,this.redo=!1;const e=t.inputData.recompile;e&&(this.refUpdate=!0,this.counter=e.counter)}finishEquation(t){this.redo&&(t.inputData.recompile={state:t.state(),counter:this.allCounter}),this.refUpdate||(this.allCounter=this.counter),Object.assign(this.allIds,this.ids),Object.assign(this.allLabels,this.labels)}finalize(t,e){if(!e.display||this.currentTag.env||null==this.currentTag.tag)return t;const r=this.makeTag();return this.enTag(t,r)}makeId(){this.currentTag.tagId=this.formatId(this.configuration.options.useLabelIds&&this.label||this.currentTag.tag)}makeTag(){this.makeId(),this.label&&(this.labels[this.label]=new St(this.currentTag.tag,this.currentTag.tagId),this.label="");const t=new dt("\\text{"+this.currentTag.tagFormat+"}",{},this.configuration).mml();return this.configuration.nodeFactory.create("node","mtd",[t],{id:this.currentTag.tagId,rowalign:this.configuration.options.tagAlign})}}class Lt extends It{autoTag(){}getTag(){return this.currentTag.tag?super.getTag():null}}class Nt extends It{finalize(t,e){if(!e.display||this.history.find((function(t){return t.taggable})))return t;const r=this.getTag(!0);return this.enTag(t,r)}}const Ft=new Map([["none",Lt],["all",Nt]]);let Rt="none";const Bt={OPTIONS:{tags:Rt,tagSide:"right",tagIndent:"0.8em",useLabelIds:!0,ignoreDuplicateLabels:!1,tagAlign:"baseline"},add(t,e){Ft.set(t,e)},addTags(t){for(const e of Object.keys(t))Bt.add(e,t[e])},create(t){const e=Ft.get(t)||Ft.get(Rt);if(!e)throw Error("Unknown tags class");return new e},setDefault(t){Rt=t},getDefault:()=>Bt.create(Rt)};class Dt{constructor(t,e,r){this._token=t,this._char=e,this._attributes=r}get token(){return this._token}get char(){return this._char}get attributes(){return this._attributes}}class Gt{constructor(t,e,r=[]){this._token=t,this._func=e,this._args=r}get token(){return this._token}get func(){return this._func}get args(){return this._args}}function Ut(t){return void 0===t||t}class _t{constructor(t,e){this._name=t,this._parser=e,Zt.register(this)}get name(){return this._name}parserFor(t){return this.contains(t)?this.parser:null}parse([t,e]){const r=this.parserFor(e),s=this.lookup(e);return r&&s?Ut(r(t,s)):null}set parser(t){this._parser=t}get parser(){return this._parser}}class jt extends _t{constructor(t,e,r){super(t,e),this._regExp=r}contains(t){return this._regExp.test(t)}lookup(t){return this.contains(t)?t:null}}class Kt extends _t{constructor(){super(...arguments),this.map=new Map}lookup(t){return this.map.get(t)}contains(t){return this.map.has(t)}add(t,e){this.map.set(t,e)}remove(t){this.map.delete(t)}}class Xt extends Kt{constructor(t,e,r){super(t,e);for(const t of Object.keys(r)){const e=r[t],[s,i]="string"==typeof e?[e,null]:e,n=new Dt(t,s,i);this.add(t,n)}}}class Ht extends Xt{parse([t,e]){return super.parse([t,"\\"+e])}}class zt extends Kt{constructor(t,e,r={}){super(t,null);const s=t=>"string"==typeof t?r[t]:t;for(const[t,r]of Object.entries(e)){let e,i;Array.isArray(r)?(e=s(r[0]),i=r.slice(1)):(e=s(r),i=[]);const n=new Gt(t,e,i);this.add(t,n)}}parserFor(t){const e=this.lookup(t);return e?e.func:null}parse([t,e]){const r=this.lookup(e),s=this.parserFor(e);return r&&s?Ut(s(t,r.token,...r.args)):null}}class qt extends zt{parse([t,e]){const r=this.lookup(e),s=this.parserFor(e);if(!r||!s)return null;const i=t.currentCS;t.currentCS="\\"+e;const n=s(t,"\\"+r.token,...r.args);return t.currentCS=i,Ut(n)}}class $t extends zt{constructor(t,e,r,s={}){super(t,r,s),this.parser=e}parse([t,e]){const r=this.lookup(e),s=this.parserFor(e);return r&&s?Ut(this.parser(t,r.token,s,r.args)):null}}const Jt=MathJax._.util.PrioritizedList.PrioritizedList,Vt=MathJax._.util.FunctionList.FunctionList,Wt=new Map,Zt={register(t){Wt.set(t.name,t)},getMap:t=>Wt.get(t)};class Yt{constructor(){this._configuration=new Jt,this._fallback=new Vt}add(t,e,r=Jt.DEFAULTPRIORITY){for(const e of t.slice().reverse()){const t=Zt.getMap(e);if(!t)return void this.warn(`Configuration '${e}' not found! Omitted.`);this._configuration.add(t,r)}e&&this._fallback.add(e,r)}remove(t,e=null){for(const e of t){const t=this.retrieve(e);t&&this._configuration.remove(t)}e&&this._fallback.remove(e)}parse(t){for(const{item:e}of this._configuration){const r=e.parse(t);if(r===Yt.FALLBACK)break;if(r)return r}const[e,r]=t;Array.from(this._fallback)[0].item(e,r)}lookup(t){const e=this.applicable(t);return e?e.lookup(t):null}contains(t){const e=this.applicable(t);return!(!e||e instanceof Xt&&null===e.lookup(t).char)}toString(){const t=[];for(const{item:e}of this._configuration)t.push(e.name);return t.join(", ")}applicable(t){for(const{item:e}of this._configuration)if(e.contains(t))return e;return null}retrieve(t){for(const{item:e}of this._configuration)if(e.name===t)return e;return null}warn(t){console.log("TexParser Warning: "+t)}}Yt.FALLBACK=Symbol("fallback");class Qt{constructor(){this.map=new Map}add(t,e,r=Jt.DEFAULTPRIORITY){for(const s of Object.keys(t)){const i=s;let n=this.get(i);n||(n=new Yt,this.set(i,n)),n.add(t[i],e[i],r)}}remove(t,e){for(const r of Object.keys(t)){const s=this.get(r);s&&s.remove(t[r],e[r])}}set(t,e){this.map.set(t,e)}get(t){return this.map.get(t)}retrieve(t){for(const e of this.map.values()){const r=e.retrieve(t);if(r)return r}return null}keys(){return this.map.keys()}}class te{static makeProcessor(t,e){return Array.isArray(t)?t:[t,e]}static _create(t,e={}){var r;const s=null!==(r=e.priority)&&void 0!==r?r:Jt.DEFAULTPRIORITY,i=e.init?this.makeProcessor(e.init,s):null,n=e.config?this.makeProcessor(e.config,s):null,a=(e.preprocessors||[]).map((t=>this.makeProcessor(t,s))),o=(e.postprocessors||[]).map((t=>this.makeProcessor(t,s))),c=e.parser||"tex";return new te(t,e[rt.HANDLER]||{},e[rt.FALLBACK]||{},e[rt.ITEMS]||{},e[rt.TAGS]||{},e[rt.OPTIONS]||{},e[rt.NODES]||{},a,o,i,n,s,c)}static create(t,e={}){const r=te._create(t,e);return re.set(t,r),r}static local(t={}){return te._create("",t)}constructor(t,e={},r={},s={},i={},n={},a={},o=[],c=[],l=null,h=null,u,d){this.name=t,this.handler=e,this.fallback=r,this.items=s,this.tags=i,this.options=n,this.nodes=a,this.preprocessors=o,this.postprocessors=c,this.initMethod=l,this.configMethod=h,this.priority=u,this.parser=d,this.handler=Object.assign({[st.CHARACTER]:[],[st.DELIMITER]:[],[st.MACRO]:[],[st.ENVIRONMENT]:[]},e)}get init(){return this.initMethod?this.initMethod[0]:null}get config(){return this.configMethod?this.configMethod[0]:null}}const ee=new Map,re={set(t,e){ee.set(t,e)},get:t=>ee.get(t),keys:()=>ee.keys()};class se{constructor(t,e=["tex"]){this.initMethod=new Vt,this.configMethod=new Vt,this.configurations=new Jt,this.parsers=[],this.handlers=new Qt,this.items={},this.tags={},this.options={},this.nodes={},this.parsers=e;for(const e of t.slice().reverse())this.addPackage(e);for(const{item:t,priority:e}of this.configurations)this.append(t,e)}init(){this.initMethod.execute(this)}config(t){this.configMethod.execute(this,t);for(const e of this.configurations)this.addFilters(t,e.item)}addPackage(t){const e="string"==typeof t?t:t[0],r=this.getPackage(e);r&&this.configurations.add(r,"string"==typeof t?r.priority:t[1])}add(t,e,r={}){const s=this.getPackage(t);this.append(s),this.configurations.add(s,s.priority),this.init();const i=e.parseOptions;i.nodeFactory.setCreators(s.nodes);for(const t of Object.keys(s.items))i.itemFactory.setNodeClass(t,s.items[t]);Bt.addTags(s.tags),I(i.options,s.options),L(i.options,r),this.addFilters(e,s),s.config&&s.config(this,e)}getPackage(t){const e=re.get(t);if(e&&!this.parsers.includes(e.parser))throw Error(`Package '${t}' doesn't target the proper parser`);return e||this.warn(`Package '${t}' not found.  Omitted.`),e}append(t,e){e=e||t.priority,t.initMethod&&this.initMethod.add(t.initMethod[0],t.initMethod[1]),t.configMethod&&this.configMethod.add(t.configMethod[0],t.configMethod[1]),this.handlers.add(t.handler,t.fallback,e),Object.assign(this.items,t.items),Object.assign(this.tags,t.tags),I(this.options,t.options),Object.assign(this.nodes,t.nodes)}addFilters(t,e){for(const[r,s]of e.preprocessors)t.preFilters.add(r,s);for(const[r,s]of e.postprocessors)t.postFilters.add(r,s)}warn(t){console.warn("MathJax Warning: "+t)}}const ie=MathJax._.util.Styles,ne=ie.TRBL;ie.WSC,ie.Styles;class ae extends ht{constructor(t,e){super(t),this.global=e}get kind(){return"start"}get isOpen(){return!0}checkItem(t){if(t.isKind("stop")){let t=this.toMml();return this.global.isInner||(t=this.factory.configuration.tags.finalize(t,this.env)),[[this.factory.create("mml",t)],!0]}return super.checkItem(t)}}class oe extends ht{get kind(){return"stop"}get isClose(){return!0}}class ce extends ht{get kind(){return"open"}get isOpen(){return!0}checkItem(t){if(t.isKind("close")){const e=this.toMml(),r=this.create("node","TeXAtom",[e]);return Le(r,t),[[this.factory.create("mml",r)],!0]}return super.checkItem(t)}}ce.errors=Object.assign(Object.create(ht.errors),{stop:["ExtraOpenMissingClose","Extra open brace or missing close brace"]});class le extends ht{get kind(){return"close"}get isClose(){return!0}}class he extends ht{get kind(){return"null"}}class ue extends ht{get kind(){return"prime"}checkItem(t){const[e,r]=this.Peek(2),s=(V.isType(e,"msubsup")||V.isType(e,"msup"))&&!V.getChildAt(e,e.sup),i=(V.isType(e,"munderover")||V.isType(e,"mover"))&&!V.getChildAt(e,e.over)&&!V.getProperty(e,"subsupOK");if(!s&&!i){return[[this.create("node",e.getProperty("movesupsub")?"mover":"msup",[e,r]),t],!0]}const n=s?e.sup:e.over;return V.setChild(e,n,r),[[e,t],!0]}}class de extends ht{get kind(){return"subsup"}checkItem(t){if(t.isKind("open")||t.isKind("left"))return ht.success;const e=this.First,r=this.getProperty("position");if(t.isKind("mml")){if(this.getProperty("primes"))if(2!==r)V.setChild(e,2,this.getProperty("primes"));else{V.setProperty(this.getProperty("primes"),"variantForm",!0);const e=this.create("node","mrow",[this.getProperty("primes"),t.First]);t.First=e}V.setChild(e,r,t.First),null!=this.getProperty("movesupsub")&&V.setProperty(e,"movesupsub",this.getProperty("movesupsub"));return[[this.factory.create("mml",e)],!0]}super.checkItem(t);const s=this.getErrors(["","sub","sup"][r]);throw new ct(s[0],s[1],...s.splice(2))}}de.errors=Object.assign(Object.create(ht.errors),{stop:["MissingScript","Missing superscript or subscript argument"],sup:["MissingOpenForSup","Missing open brace for superscript"],sub:["MissingOpenForSub","Missing open brace for subscript"]});class me extends ht{constructor(t){super(t),this.setProperty("name","\\over")}get kind(){return"over"}get isClose(){return!0}checkItem(t){if(t.isKind("over"))throw new ct("AmbiguousUseOf","Ambiguous use of %1",t.getName());if(t.isClose){let e=this.create("node","mfrac",[this.getProperty("num"),this.toMml(!1)]);return null!=this.getProperty("thickness")&&V.setAttribute(e,"linethickness",this.getProperty("thickness")),(this.getProperty("ldelim")||this.getProperty("rdelim"))&&(V.setProperty(e,"withDelims",!0),e=Mt.fixedFence(this.factory.configuration,this.getProperty("ldelim"),e,this.getProperty("rdelim"))),e.attributes.set(ut.Attr.LATEXITEM,this.getProperty("name")),[[this.factory.create("mml",e),t],!0]}return super.checkItem(t)}toString(){return"over["+this.getProperty("num")+" / "+this.nodes.join("; ")+"]"}}class pe extends ht{constructor(t,e){super(t),this.setProperty("delim",e)}get kind(){return"left"}get isOpen(){return!0}checkItem(t){if(t.isKind("right")){const e=Mt.fenced(this.factory.configuration,this.getProperty("delim"),this.toMml(),t.getProperty("delim"),"",t.getProperty("color")),r=e.childNodes[0],s=e.childNodes[e.childNodes.length-1],i=this.factory.create("mml",e);return Le(r,this,"\\left"),Le(s,t,"\\right"),i.Peek()[0].attributes.set(ut.Attr.LATEXITEM,"\\left"+t.startStr.slice(this.startI,t.stopI)),[[i],!0]}if(t.isKind("middle")){const e={stretchy:!0};t.getProperty("color")&&(e.mathcolor=t.getProperty("color"));const r=this.create("token","mo",e,t.getProperty("delim"));return Le(r,t,"\\middle"),this.Push(this.create("node","TeXAtom",[],{texClass:H.CLOSE}),r,this.create("node","TeXAtom",[],{texClass:H.OPEN})),this.env={},[[this],!0]}return super.checkItem(t)}}pe.errors=Object.assign(Object.create(ht.errors),{stop:["ExtraLeftMissingRight","Extra \\left or missing \\right"]});class ge extends ht{constructor(t,e,r){super(t),this.setProperty("delim",e),r&&this.setProperty("color",r)}get kind(){return"middle"}get isClose(){return!0}}class fe extends ht{constructor(t,e,r){super(t),this.setProperty("delim",e),r&&this.setProperty("color",r)}get kind(){return"right"}get isClose(){return!0}}class be extends ht{get kind(){return"break"}constructor(t,e,r){super(t),this.setProperty("linebreak",e),this.setProperty("insert",r)}checkItem(t){var e,r;const s=this.getProperty("linebreak");if(t.isKind("mml")){const i=t.First;if(i.isKind("mo")){if("after"!==((null===(r=null===(e=V.getOp(i))||void 0===e?void 0:e[3])||void 0===r?void 0:r.linebreakstyle)||V.getAttribute(i,"linebreakstyle")))return V.setAttribute(i,"linebreak",s),[[t],!0];if(!this.getProperty("insert"))return[[t],!0]}}const i=this.create("token","mspace",{linebreak:s});return[[this.factory.create("mml",i),t],!0]}}class ye extends ht{get kind(){return"begin"}get isOpen(){return!0}checkItem(t){if(t.isKind("end")){if(t.getName()!==this.getName())throw new ct("EnvBadEnd","\\begin{%1} ended with \\end{%2}",this.getName(),t.getName());const e=this.toMml();return Le(e,t),[[this.factory.create("mml",e)],!0]}if(t.isKind("stop"))throw new ct("EnvMissingEnd","Missing \\end{%1}",this.getName());return super.checkItem(t)}}class Ae extends ht{get kind(){return"end"}get isClose(){return!0}}class ke extends ht{get kind(){return"style"}checkItem(t){if(!t.isClose)return super.checkItem(t);const e=this.create("node","mstyle",this.nodes,this.getProperty("styles"));return[[this.factory.create("mml",e),t],!0]}}class ve extends ht{get kind(){return"position"}checkItem(t){if(t.isClose)throw new ct("MissingBoxFor","Missing box for %1",this.getName());if(t.isFinal){let e=t.toMml();switch(this.getProperty("move")){case"vertical":return e=this.create("node","mpadded",[e],{height:this.getProperty("dh"),depth:this.getProperty("dd"),voffset:this.getProperty("dh")}),[[this.factory.create("mml",e)],!0];case"horizontal":return[[this.factory.create("mml",this.getProperty("left")),t,this.factory.create("mml",this.getProperty("right"))],!0]}}return super.checkItem(t)}}class Pe extends ht{get kind(){return"cell"}get isClose(){return!0}}class Te extends ht{get isFinal(){return!0}get kind(){return"mml"}}class Me extends ht{get kind(){return"fn"}checkItem(t){const e=this.First;if(e){if(t.isOpen)return ht.success;if(!t.isKind("fn")){let r=t.First;if(!t.isKind("mml")||!r)return[[e,t],!0];if(V.isType(r,"mstyle")&&r.childNodes.length&&V.isType(r.childNodes[0].childNodes[0],"mspace")||V.isType(r,"mspace"))return[[e,t],!0];V.isEmbellished(r)&&(r=V.getCoreMO(r));const s=V.getForm(r);if(null!=s&&[0,0,1,1,0,1,1,0,0,0][s[2]])return[[e,t],!0]}return[[e,this.create("token","mo",{texClass:H.NONE},At.ApplyFunction),t],!0]}return super.checkItem(t)}}class we extends ht{constructor(){super(...arguments),this.remap=Zt.getMap("not_remap")}get kind(){return"not"}checkItem(t){let e,r,s;if(t.isKind("open")||t.isKind("left"))return ht.success;if(t.isKind("mml")&&(V.isType(t.First,"mo")||V.isType(t.First,"mi")||V.isType(t.First,"mtext"))&&(e=t.First,r=V.getText(e),1===r.length&&!V.getProperty(e,"movesupsub")&&1===V.getChildren(e).length))return this.remap.contains(r)?(s=this.create("text",this.remap.lookup(r).char),V.setChild(e,0,s)):(s=this.create("text","\u0338"),V.appendChildren(e,[s])),[[t],!0];s=this.create("text","\u29f8");const i=this.create("node","mtext",[],{},s),n=this.create("node","mpadded",[i],{width:0});return e=this.create("node","TeXAtom",[n],{texClass:H.REL}),[[e,t],!0]}}class xe extends ht{get kind(){return"nonscript"}checkItem(t){if(t.isKind("mml")&&1===t.Size()){let e=t.First;if(e.isKind("mstyle")&&e.notParent&&(e=V.getChildren(V.getChildren(e)[0])[0]),e.isKind("mspace")){if(e!==t.First){const e=this.create("node","mrow",[t.Pop()]);t.Push(e)}this.factory.configuration.addNode("nonscript",t.First)}}return[[t],!0]}}class Oe extends ht{get kind(){return"dots"}checkItem(t){if(t.isKind("open")||t.isKind("left"))return ht.success;let e=this.getProperty("ldots");const r=t.First;if(t.isKind("mml")&&V.isEmbellished(r)){const t=V.getTexClass(V.getCoreMO(r));t!==H.BIN&&t!==H.REL||(e=this.getProperty("cdots"))}return[[e,t],!0]}}class Ee extends ht{constructor(){super(...arguments),this.table=[],this.row=[],this.frame=[],this.hfill=[],this.arraydef={},this.cstart=[],this.cend=[],this.cextra=[],this.atEnd=!1,this.ralign=[],this.breakAlign={cell:"",row:"",table:""},this.templateSubs=0}get kind(){return"array"}get isOpen(){return!0}get copyEnv(){return!1}checkItem(t){if(t.isClose&&!t.isKind("over")){if(t.getProperty("isEntry"))return this.EndEntry(),this.clearEnv(),this.StartEntry(),ht.fail;if(t.getProperty("isCR"))return this.EndEntry(),this.EndRow(),this.clearEnv(),this.StartEntry(),ht.fail;this.EndTable(),this.clearEnv();const e=this.factory.create("mml",this.createMml());if(this.getProperty("requireClose")){if(t.isKind("close"))return[[e],!0];throw new ct("MissingCloseBrace","Missing close brace")}return[[e,t],!0]}return super.checkItem(t)}createMml(){const t=this.arraydef.scriptlevel;delete this.arraydef.scriptlevel;let e=this.create("node","mtable",this.table,this.arraydef);return t&&e.setProperty("smallmatrix",!0),this.breakAlign.table&&V.setAttribute(e,"data-break-align",this.breakAlign.table),this.getProperty("arrayPadding")&&(V.setAttribute(e,"data-frame-styles",""),V.setAttribute(e,"framespacing",this.getProperty("arrayPadding"))),e=this.handleFrame(e),void 0!==t&&(e=this.create("node","mstyle",[e],{scriptlevel:t})),(this.getProperty("open")||this.getProperty("close"))&&(e=Mt.fenced(this.factory.configuration,this.getProperty("open"),e,this.getProperty("close"))),e}handleFrame(t){if(!this.frame.length)return t;const e=new Map(this.frame),r=this.frame.reduce(((t,[,e])=>e===t?e:""),this.frame[0][1]);if(r){if(4===this.frame.length)return V.setAttribute(t,"frame",r),V.removeAttribute(t,"data-frame-styles"),t;if("solid"===r)return V.setAttribute(t,"data-frame-styles",""),t=this.create("node","menclose",[t],{notation:Array.from(e.keys()).join(" "),"data-padding":0})}const s=ne.map((t=>e.get(t)||"none")).join(" ");return V.setAttribute(t,"data-frame-styles",s),t}StartEntry(){const t=this.row.length;let e=this.cstart[t],r=this.cend[t];const s=this.ralign[t],i=this.cextra;if(!(e||r||s||i[t]||i[t+1]))return;let[n,a,o,c]=this.getEntry();if(!i[t]||this.atEnd&&!i[t+1]||(e+="&"),"&"!==o&&(c=!!a.trim()||!!(t||o&&"\\end"!==o.substring(0,4)),i[t+1]&&!i[t]&&(r=(r||"")+"&",this.atEnd=!0)),!c&&!n)return;const l=this.parser;if(c&&(e&&(a=Mt.addArgs(l,e,a)),r&&(a=Mt.addArgs(l,a,r)),s&&(a="\\text{"+a.trim()+"}"),(e||r||s)&&++this.templateSubs>l.configuration.options.maxTemplateSubtitutions))throw new ct("MaxTemplateSubs","Maximum template substitutions exceeded; is there an invalid use of \\\\ in the template?");n&&(a=Mt.addArgs(l,n,a)),l.string=Mt.addArgs(l,a,l.string),l.i=0}getEntry(){const t=this.parser,e=/^([^]*?)([&{}]|\\\\|\\(?:begin|end)\s*\{array\}|\\cr|\\)/;let r,s=0,i=0,n=t.i;const a=["","","",!1];for(;null!==(r=t.string.slice(n).match(e));)switch(n+=r[0].length,r[2]){case"\\":n++;break;case"{":s++;break;case"}":if(!s)return a;s--;break;case"\\begin{array}":s||i++;break;case"\\end{array}":if(!s&&i){i--;break}default:{if(s||i)continue;n-=r[2].length;let e=t.string.slice(t.i,n).trim();const a=e.match(/^(?:\s*\\(?:h(?:dash)?line|hfil{1,3}|rowcolor\s*\{.*?\}))+/);return a&&(e=e.slice(a[0].length)),t.string=t.string.slice(n),t.i=0,[(null==a?void 0:a[0])||"",e,r[2],!0]}}return a}EndEntry(){const t=this.create("node","mtd",this.nodes);this.hfill.length&&(0===this.hfill[0]&&V.setAttribute(t,"columnalign","right"),this.hfill[this.hfill.length-1]===this.Size()&&V.setAttribute(t,"columnalign",V.getAttribute(t,"columnalign")?"center":"left"));const e=this.ralign[this.row.length];if(e){const[r,s,i]=e,n=this.create("node","mpadded",t.childNodes[0].childNodes,{width:s,"data-overflow":"auto","data-align":i,"data-vertical-align":r});n.setProperty("vbox",r),t.childNodes[0].childNodes=[],t.appendChild(n)}else this.breakAlign.cell&&V.setAttribute(t,"data-vertical-align",this.breakAlign.cell);this.breakAlign.cell="",this.row.push(t),this.Clear(),this.hfill=[]}EndRow(){let t="mtr";this.getProperty("isNumbered")&&3===this.row.length?(this.row.unshift(this.row.pop()),t="mlabeledtr"):this.getProperty("isLabeled")&&(t="mlabeledtr",this.setProperty("isLabeled",!1));const e=this.create("node",t,this.row);this.breakAlign.row&&(V.setAttribute(e,"data-break-align",this.breakAlign.row),this.breakAlign.row=""),Le(e,this),this.table.push(e),this.row=[],this.atEnd=!1}EndTable(){(this.Size()||this.row.length)&&(this.EndEntry(),this.EndRow()),this.checkLines()}checkLines(){if(this.arraydef.rowlines){const t=this.arraydef.rowlines.split(/ /);t.length===this.table.length?(this.frame.push(["bottom",t.pop()]),t.length?this.arraydef.rowlines=t.join(" "):delete this.arraydef.rowlines):t.length<this.table.length-1&&(this.arraydef.rowlines+=" none")}if(this.getProperty("rowspacing")){const t=this.arraydef.rowspacing.split(/ /);for(;t.length<this.table.length;)t.push(this.getProperty("rowspacing")+"em");this.arraydef.rowspacing=t.join(" ")}}addRowSpacing(t){if(this.arraydef.rowspacing){const e=this.arraydef.rowspacing.split(/ /);if(!this.getProperty("rowspacing")){const t=nt.dimen2em(e[0]);this.setProperty("rowspacing",t)}const r=this.getProperty("rowspacing");for(;e.length<this.table.length;)e.push(nt.em(r));e[this.table.length-1]=nt.em(Math.max(0,r+nt.dimen2em(t))),this.arraydef.rowspacing=e.join(" ")}}}class Se extends Ee{constructor(t,...e){super(t),this.maxrow=0,this.factory.configuration.tags.start(e[0],e[2],e[1])}get kind(){return"eqnarray"}EndEntry(){const t=this.arraydef.columnalign.split(/ /);"right"!==(this.row.length&&t.length?t[this.row.length%t.length]:"right")&&Mt.fixInitialMO(this.factory.configuration,this.nodes),super.EndEntry()}EndRow(){this.row.length>this.maxrow&&(this.maxrow=this.row.length);const t=this.factory.configuration.tags.getTag();t&&(this.row=[t].concat(this.row),this.setProperty("isLabeled",!0)),this.factory.configuration.tags.clearTag(),super.EndRow()}EndTable(){super.EndTable(),this.factory.configuration.tags.end(),this.extendArray("columnalign",this.maxrow),this.extendArray("columnwidth",this.maxrow),this.extendArray("columnspacing",this.maxrow-1),this.extendArray("data-break-align",this.maxrow),this.addIndentshift()}extendArray(t,e){if(!this.arraydef[t])return;const r=this.arraydef[t].split(/ /),s=[...r];if(s.length>1){for(;s.length<e;)s.push(...r);this.arraydef[t]=s.slice(0,e).join(" ")}}addIndentshift(){const t=this.arraydef.columnalign.split(/ /);let e="";for(const r of t.keys()){if("left"===t[r]&&r>0){const t="center"===e?".7em":"2em";for(const e of this.table){const s=e.childNodes[e.isKind("mlabeledtr")?r+1:r];if(s){const e=this.create("node","mstyle",s.childNodes[0].childNodes,{indentshift:t});s.childNodes[0].childNodes=[],s.appendChild(e)}}}e=t[r]}}}class Ce extends ye{get kind(){return"mstyle"}constructor(t,e,r){super(t),this.attrList=e,this.setProperty("name",r)}checkItem(t){if(t.isKind("end")&&t.getName()===this.getName()){return[[this.create("node","mstyle",[this.toMml()],this.attrList)],!0]}return super.checkItem(t)}}class Ie extends ht{constructor(t,...e){super(t),this.factory.configuration.tags.start("equation",!0,e[0])}get kind(){return"equation"}get isOpen(){return!0}checkItem(t){if(t.isKind("end")){const e=this.toMml(),r=this.factory.configuration.tags.getTag();return this.factory.configuration.tags.end(),[[r?this.factory.configuration.tags.enTag(e,r):e,t],!0]}if(t.isKind("stop"))throw new ct("EnvMissingEnd","Missing \\end{%1}",this.getName());return super.checkItem(t)}}function Le(t,e,r=""){const s=e.startStr.slice(e.startI,e.stopI);s&&(t.attributes.set(ut.Attr.LATEXITEM,r?r+s:s),t.attributes.set(ut.Attr.LATEX,r?r+s:s))}const Ne=MathJax._.util.lengths,Fe=(Ne.BIGDIMEN,Ne.UNITS,Ne.RELUNITS,Ne.MATHSPACE),Re=(Ne.length2em,Ne.percent,Ne.em),Be=(Ne.px,1.2/.85),De={fontfamily:1,fontsize:1,fontweight:1,fontstyle:1,color:1,background:1,id:1,class:1,href:1,style:1};function Ge(t,e=1/0){const r=t.replace(/\s+/g,"").split("").map((t=>{const e={t:"top",b:"bottom",m:"middle",c:"center"}[t];if(!e)throw new ct("BadBreakAlign","Invalid alignment character: %1",t);return e}));if(r.length>e)throw new ct("TooManyAligns","Too many alignment characters: %1",t);return 1===e?r[0]:r.join(" ")}function Ue(t,e){const r=t.stack.env,s=r.inRoot;r.inRoot=!0;const i=new dt(e,r,t.configuration);let n=i.mml();const a=i.stack.global;if(a.leftRoot||a.upRoot){const e={};a.leftRoot&&(e.width=a.leftRoot),a.upRoot&&(e.voffset=a.upRoot,e.height=a.upRoot),n=t.create("node","mpadded",[n],e)}return r.inRoot=s,n}const _e={Open(t,e){t.Push(t.itemFactory.create("open"))},Close(t,e){t.Push(t.itemFactory.create("close"))},Bar(t,e){t.Push(t.create("token","mo",{stretchy:!1,texClass:H.ORD},e))},Tilde(t,e){t.Push(t.create("token","mtext",{},At.nbsp))},Space(t,e){},Superscript(t,e){let r,s;t.GetNext().match(/\d/)&&(t.string=t.string.substring(0,t.i+1)+" "+t.string.substring(t.i+1));const i=t.stack.Top();i.isKind("prime")?([s,r]=i.Peek(2),t.stack.Pop()):(s=t.stack.Prev(),s||(s=t.create("token","mi",{},"")));const n=V.getProperty(s,"movesupsub");let a=V.isType(s,"msubsup")?s.sup:s.over;if(V.isType(s,"msubsup")&&!V.isType(s,"msup")&&V.getChildAt(s,s.sup)||V.isType(s,"munderover")&&!V.isType(s,"mover")&&V.getChildAt(s,s.over)&&!V.getProperty(s,"subsupOK"))throw new ct("DoubleExponent","Double exponent: use braces to clarify");V.isType(s,"msubsup")&&!V.isType(s,"msup")||(n?((!V.isType(s,"munderover")||V.isType(s,"mover")||V.getChildAt(s,s.over))&&(s=t.create("node","munderover",[s],{movesupsub:!0})),a=s.over):(s=t.create("node","msubsup",[s]),a=s.sup)),t.Push(t.itemFactory.create("subsup",s).setProperties({position:a,primes:r,movesupsub:n}))},Subscript(t,e){let r,s;t.GetNext().match(/\d/)&&(t.string=t.string.substring(0,t.i+1)+" "+t.string.substring(t.i+1));const i=t.stack.Top();i.isKind("prime")?([s,r]=i.Peek(2),t.stack.Pop()):(s=t.stack.Prev(),s||(s=t.create("token","mi",{},"")));const n=V.getProperty(s,"movesupsub");let a=V.isType(s,"msubsup")?s.sub:s.under;if(V.isType(s,"msubsup")&&!V.isType(s,"msup")&&V.getChildAt(s,s.sub)||V.isType(s,"munderover")&&!V.isType(s,"mover")&&V.getChildAt(s,s.under)&&!V.getProperty(s,"subsupOK"))throw new ct("DoubleSubscripts","Double subscripts: use braces to clarify");V.isType(s,"msubsup")&&!V.isType(s,"msup")||(n?((!V.isType(s,"munderover")||V.isType(s,"mover")||V.getChildAt(s,s.under))&&(s=t.create("node","munderover",[s],{movesupsub:!0})),a=s.under):(s=t.create("node","msubsup",[s]),a=s.sub)),t.Push(t.itemFactory.create("subsup",s).setProperties({position:a,primes:r,movesupsub:n}))},Prime(t,e){let r=t.stack.Prev();if(r||(r=t.create("token","mi")),V.isType(r,"msubsup")&&!V.isType(r,"msup")&&V.getChildAt(r,r.sup)||V.isType(r,"munderover")&&!V.isType(r,"mover")&&V.getChildAt(r,r.over)&&!V.getProperty(r,"subsupOK"))throw new ct("DoubleExponentPrime","Prime causes double exponent: use braces to clarify");let s="";t.i--;do{s+=At.prime,t.i++,e=t.GetNext()}while("'"===e||e===At.rsquo);s=["","\u2032","\u2033","\u2034","\u2057"][s.length]||s;const i=t.create("token","mo",{variantForm:!0},s);t.Push(t.itemFactory.create("prime",r,i))},Comment(t,e){for(;t.i<t.string.length&&"\n"!==t.string.charAt(t.i);)t.i++},Hash(t,e){throw new ct("CantUseHash1","You can't use 'macro parameter character #' in math mode")},MathFont(t,e,r,s=""){const i=t.GetArgument(e),n=new dt(i,Object.assign(Object.assign({multiLetterIdentifiers:t.options.identifierPattern},t.stack.env),{font:r,italicFont:s,noAutoOP:!0}),t.configuration).mml();t.Push(t.create("node","TeXAtom",[n]))},SetFont(t,e,r){t.stack.env.font=r,t.Push(t.itemFactory.create("null"))},SetStyle(t,e,r,s,i){t.stack.env.style=r,t.stack.env.level=i,t.Push(t.itemFactory.create("style").setProperty("styles",{displaystyle:s,scriptlevel:i}))},SetSize(t,e,r){t.stack.env.size=r,t.Push(t.itemFactory.create("style").setProperty("styles",{mathsize:Re(r)}))},Spacer(t,e,r){const s=t.create("node","mspace",[],{width:Re(r)}),i=t.create("node","mstyle",[s],{scriptlevel:0});t.Push(i)},DiscretionaryTimes(t,e){t.Push(t.create("token","mo",{linebreakmultchar:"\xd7"},"\u2062"))},AllowBreak(t,e){t.Push(t.create("token","mspace"))},Break(t,e){t.Push(t.create("token","mspace",{linebreak:ut.LineBreak.NEWLINE}))},Linebreak(t,e,r){let s=!0;const i=t.stack.Prev(!0);if(i&&i.isKind("mo")){V.getMoAttribute(i,"linebreakstyle")!==ut.LineBreakStyle.BEFORE&&(i.attributes.set("linebreak",r),s=!1)}t.Push(t.itemFactory.create("break",r,s))},LeftRight(t,e){const r=e.substring(1);t.Push(t.itemFactory.create(r,t.GetDelimiter(e),t.stack.env.color))},NamedFn(t,e,r){r||(r=e.substring(1));const s=t.create("token","mi",{texClass:H.OP},r);t.Push(t.itemFactory.create("fn",s))},NamedOp(t,e,r){r||(r=e.substring(1)),r=r.replace(/&thinsp;/,"\u2006");const s=t.create("token","mo",{movablelimits:!0,movesupsub:!0,form:ut.Form.PREFIX,texClass:H.OP},r);t.Push(s)},Limits(t,e,r){let s=t.stack.Prev(!0);if(!s||V.getTexClass(V.getCoreMO(s))!==H.OP&&null==V.getProperty(s,"movesupsub"))throw new ct("MisplacedLimits","%1 is allowed only on operators",t.currentCS);const i=t.stack.Top();let n;V.isType(s,"munderover")&&!r?(n=t.create("node","msubsup"),V.copyChildren(s,n),s=i.Last=n):V.isType(s,"msubsup")&&r&&(n=t.create("node","munderover"),V.copyChildren(s,n),s=i.Last=n),V.setProperty(s,"movesupsub",!!r),V.setProperties(V.getCoreMO(s),{movablelimits:!1}),((V.isType(s,"mo")?V.getMoAttribute(s,"movableLimits"):V.getAttribute(s,"movablelimits"))||V.getProperty(s,"movablelimits"))&&V.setProperties(s,{movablelimits:!1})},Over(t,e,r,s){const 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