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1§Ì†",ě:"ě",ê:"ê",ế:"ế",ề:"ề",ễ:"ễ",ė:"ė",È©:"ȩ",ḟ:"ḟ",ǵ:"ǵ",ḡ:"ḡ",ğ:"ğ",ǧ:"ǧ",ĝ:"ĝ",Ä¡:"ġ",Ä£:"ģ",ḧ:"ḧ",ȟ:"ȟ",Ä¥:"ĥ",ḣ:"ḣ",ḩ:"ḩ",í:"í",ì:"ì",ï:"ï",ḯ:"ḯ",Ä©:"ĩ",Ä«:"ī",Ä­:"ĭ",ǐ:"ǐ",î:"î",Ç°:"ǰ",ĵ:"ĵ",ḱ:"ḱ",Ç©:"ǩ",Ä·:"ķ",ĺ:"ĺ",ľ:"ľ",ļ:"ļ",ḿ:"ḿ",ṁ:"ṁ",ń:"ń",ǹ:"ǹ",ñ:"ñ",ň:"ň",ṅ:"ṅ",ņ:"ņ",ó:"ó",ò:"ò",ö:"ö",È«:"ȫ",õ:"õ",ṍ:"ṍ",ṏ:"ṏ",È­:"ȭ",ō:"ō",ṓ:"ṓ",ṑ:"ṑ",ŏ:"ŏ",ǒ:"ǒ",ô:"ô",ố:"ố",ồ:"ồ",ỗ:"ỗ",ȯ:"ȯ",ȱ:"ȱ",ő:"ő",ṕ:"ṕ",ṗ:"ṗ",ŕ:"ŕ",ř:"ř",ṙ:"ṙ",ŗ:"ŗ",ś:"ś",á¹¥:"ṥ",Å¡:"š",ṧ:"ṧ",ŝ:"ŝ",ṡ:"ṡ",ş:"ş",ẗ:"ẗ",Å¥:"ť",ṫ:"ṫ",Å£:"ţ",ú:"ú",ù:"ù",ü:"ü",ǘ:"ǘ",ǜ:"ǜ",ǖ:"ǖ",ǚ:"ǚ",Å©:"ũ",á¹¹:"ṹ",Å«:"ū",á¹»:"ṻ",Å­:"ŭ",ǔ:"ǔ",û:"û",ů:"ů",ű:"ű",á¹½:"ṽ",ẃ:"ẃ",ẁ:"ẁ",ẅ:"ẅ",ŵ:"ŵ",ẇ:"ẇ",ẘ:"ẘ",ẍ:"ẍ",ẋ:"ẋ",ý:"ý",ỳ:"ỳ",ÿ:"ÿ",ỹ:"ỹ",ȳ:"ȳ",Å·:"ŷ",ẏ:"ẏ",ẙ:"ẙ",ź:"ź",ž:"ž",ẑ:"ẑ",ż:"ż",Á:"Á",À:"À",Ä:"Ä",Ǟ:"Ǟ",Ã:"Ã",Ā:"Ā",Ă:"Ă",Ắ:"Ắ",Ằ:"Ằ",Ẵ:"Ẵ",Ǎ:"Ǎ",Â:"Â",Ấ:"Ấ",Ầ:"Ầ",Ẫ:"Ẫ",Ȧ:"Ȧ",Ç :"Ǡ",Å:"Å",Ǻ:"Ǻ",Ḃ:"Ḃ",Ć:"Ć",Ḉ:"Ḉ",Č:"Č",Ĉ:"Ĉ",Ċ:"Ċ",Ç:"Ç",Ď:"Ď",Ḋ:"Ḋ",Ḑ:"Ḑ",É:"É",È:"È",Ë:"Ë",Ẽ:"Ẽ",Ē:"Ē",Ḗ:"Ḗ",Ḕ:"Ḕ",Ĕ:"Ĕ",Ḝ:"Ḝ",Ě:"Ě",Ê:"Ê",Ế:"Ế",Ề:"Ề",Ễ:"Ễ",Ė:"Ė",Ȩ:"Ȩ",Ḟ:"Ḟ",Ç´:"Ǵ",Ḡ:"Ḡ",Ğ:"Ğ",Ǧ:"Ǧ",Ĝ:"Ĝ",Ä :"Ġ",Ä¢:"Ģ",Ḧ:"Ḧ",Ȟ:"Ȟ",Ĥ:"Ĥ",Ḣ:"Ḣ",Ḩ:"Ḩ",Í:"Í",Ì:"Ì",Ï:"Ï",Ḯ:"Ḯ",Ĩ:"Ĩ",Ī:"Ī",Ĭ:"Ĭ",Ǐ:"Ǐ",Î:"Î",Ä°:"İ",Ä´:"Ĵ",Ḱ:"Ḱ",Ǩ:"Ǩ",Ķ:"Ķ",Ĺ:"Ĺ",Ľ:"Ľ",Ä»:"Ļ",Ḿ:"Ḿ",Ṁ:"Ṁ",Ń:"Ń",Ǹ:"Ǹ",Ñ:"Ñ",Ň:"Ň",Ṅ:"Ṅ",Ņ:"Ņ",Ó:"Ó",Ò:"Ò",Ö:"Ö",Ȫ:"Ȫ",Õ:"Õ",Ṍ:"Ṍ",Ṏ:"Ṏ",Ȭ:"Ȭ",Ō:"Ō",Ṓ:"Ṓ",Ṑ:"Ṑ",Ŏ:"Ŏ",Ǒ:"Ǒ",Ô:"Ô",Ố:"Ố",Ồ:"Ồ",Ỗ:"Ỗ",È®:"Ȯ",È°:"Ȱ",Ő:"Ő",Ṕ:"Ṕ",Ṗ:"Ṗ",Ŕ:"Ŕ",Ř:"Ř",Ṙ:"Ṙ",Ŗ:"Ŗ",Ś:"Ś",Ṥ:"Ṥ",Å :"Š",Ṧ:"Ṧ",Ŝ:"Ŝ",á¹ :"Ṡ",Ş:"Ş",Ť:"Ť",Ṫ:"Ṫ",Å¢:"Ţ",Ú:"Ú",Ù:"Ù",Ü:"Ü",Ǘ:"Ǘ",Ǜ:"Ǜ",Ǖ:"Ǖ",Ǚ:"Ǚ",Ũ:"Ũ",Ṹ:"Ṹ",Ū:"Ū",Ṻ:"Ṻ",Ŭ:"Ŭ",Ǔ:"Ǔ",Û:"Û",Å®:"Ů",Å°:"Ű",á¹¼:"Ṽ",Ẃ:"Ẃ",Ẁ:"Ẁ",Ẅ:"Ẅ",Å´:"Ŵ",Ẇ:"Ẇ",Ẍ:"Ẍ",Ẋ:"Ẋ",Ý:"Ý",Ỳ:"Ỳ",Ÿ:"Ÿ",Ỹ:"Ỹ",Ȳ:"Ȳ",Ŷ:"Ŷ",Ẏ:"Ẏ",Ź:"Ź",Ž:"Ž",Ẑ:"Ẑ",Å»:"Ż",ά:"ά",á½°:"ὰ",á¾±:"ᾱ",á¾°:"ᾰ",έ:"έ",á½²:"ὲ",ή:"ή",á½´:"ὴ",ί:"ί",ὶ:"ὶ",ϊ:"ϊ",ΐ:"ΐ",ῒ:"ῒ",ῑ:"ῑ",ῐ:"ῐ",ό:"ό",ὸ:"ὸ",ύ:"ύ",ὺ:"ὺ",ϋ:"ϋ",ΰ:"ΰ",á¿¢:"ῢ",á¿¡:"ῡ",á¿ :"ῠ",ώ:"ώ",á½¼:"ὼ",Ύ:"Ύ",Ὺ:"Ὺ",Ϋ:"Ϋ",á¿©:"Ῡ",Ῠ:"Ῠ",Ώ:"Ώ",Ὼ:"Ὼ"};class un{constructor(e,t){this.mode=void 0,this.gullet=void 0,this.settings=void 0,this.leftrightDepth=void 0,this.nextToken=void 0,this.mode="math",this.gullet=new sn(e,t,this.mode),this.settings=t,this.leftrightDepth=0,this.nextToken=null}expect(e,t){if(void 0===t&&(t=!0),this.fetch().text!==e)throw new a("Expected '"+e+"', got '"+this.fetch().text+"'",this.fetch());t&&this.consume()}consume(){this.nextToken=null}fetch(){return null==this.nextToken&&(this.nextToken=this.gullet.expandNextToken()),this.nextToken}switchMode(e){this.mode=e,this.gullet.switchMode(e)}parse(){this.settings.globalGroup||this.gullet.beginGroup(),this.settings.colorIsTextColor&&this.gullet.macros.set("\\color","\\textcolor");try{var e=this.parseExpression(!1);return this.expect("EOF"),this.settings.globalGroup||this.gullet.endGroup(),e}finally{this.gullet.endGroups()}}subparse(e){var t=this.nextToken;this.consume(),this.gullet.pushToken(new ia("}")),this.gullet.pushTokens(e);var r=this.parseExpression(!1);return this.expect("}"),this.nextToken=t,r}parseExpression(e,t){for(var r=[];;){"math"===this.mode&&this.consumeSpaces();var a=this.fetch();if(un.endOfExpression.has(a.text))break;if(t&&a.text===t)break;

1if(e&&ja[a.text]&&ja[a.text].infix)break;var n=this.parseAtom(t);if(!n)break;"internal"!==n.type&&r.push(n)}return"text"===this.mode&&this.formLigatures(r),this.handleInfixNodes(r)}handleInfixNodes(e){for(var t,r=-1,n=0;n<e.length;n++){var i=e[n];if("infix"===i.type){if(-1!==r)throw new a("only one infix operator per group",i.token);r=n,t=i.replaceWith}}if(-1!==r&&t){var o,s,l=e.slice(0,r),h=e.slice(r+1);return o=1===l.length&&"ordgroup"===l[0].type?l[0]:{type:"ordgroup",mode:this.mode,body:l},s=1===h.length&&"ordgroup"===h[0].type?h[0]:{type:"ordgroup",mode:this.mode,body:h},["\\\\abovefrac"===t?this.callFunction(t,[o,e[r],s],[]):this.callFunction(t,[o,s],[])]}return e}handleSupSubscript(e){var t,r=this.fetch(),n=r.text;this.consume(),this.consumeSpaces();do{var i;t=this.parseGroup(e)}while("internal"===(null==(i=t)?void 0:i.type));if(!t)throw new a("Expected group after '"+n+"'",r);return t}formatUnsupportedCmd(e){for(var t=[],r=0;r<e.length;r++)t.push({type:"textord",mode:"text",text:e[r]});var a={type:"text",mode:this.mode,body:t};return{type:"color",mode:this.mode,color:this.settings.errorColor,body:[a]}}parseAtom(e){var t,r,n=this.parseGroup("atom",e);if("internal"===(null==n?void 0:n.type))return n;if("text"===this.mode)return n;for(;;){this.consumeSpaces();var i=this.fetch();if("\\limits"===i.text||"\\nolimits"===i.text){if(n&&"op"===n.type)n.limits="\\limits"===i.text,n.alwaysHandleSupSub=!0;else{if(!n||"operatorname"!==n.type)throw new a("Limit controls must follow a math operator",i);n.alwaysHandleSupSub&&(n.limits="\\limits"===i.text)}this.consume()}else if("^"===i.text){if(t)throw new a("Double superscript",i);t=this.handleSupSubscript("superscript")}else if("_"===i.text){if(r)throw new a("Double subscript",i);r=this.handleSupSubscript("subscript")}else if("'"===i.text){if(t)throw new a("Double superscript",i);var o={type:"textord",mode:this.mode,text:"\\prime"},s=[o];for(this.consume();"'"===this.fetch().text;)s.push(o),this.consume();"^"===this.fetch().text&&s.push(this.handleSupSubscript("superscript")),t={type:"ordgroup",mode:this.mode,body:s}}else{if(!hn[i.text])break;var l=ln.test(i.text),h=[];for(h.push(new ia(hn[i.text])),this.consume();;){var m=this.fetch().text;if(!hn[m])break;if(ln.test(m)!==l)break;h.unshift(new ia(hn[m])),this.consume()}var c=this.subparse(h);l?r={type:"ordgroup",mode:"math",body:c}:t={type:"ordgroup",mode:"math",body:c}}}return t&&r?{type:"supsub",mode:this.mode,base:n,sup:t,sub:r}:t?{type:"supsub",mode:this.mode,base:n,sup:t}:r?{type:"supsub",mode:this.mode,base:n,sub:r}:n}parseFunction(e,t){var r=this.fetch(),n=r.text,i=ja[n];if(!i)return null;if(this.consume(),t&&"atom"!==t&&!i.allowedInArgument)throw new a("Got function '"+n+"' with no arguments"+(t?" as "+t:""),r);if("text"===this.mode&&!i.allowedInText)throw new a("Can't use function '"+n+"' in text mode",r);if("math"===this.mode&&!1===i.allowedInMath)throw new a("Can't use function '"+n+"' in math mode",r);var o=this.parseArguments(n,i),s=o.args,l=o.optArgs;return this.callFunction(n,s,l,r,e)}callFunction(e,t,r,n,i){var o={funcName:e,parser:this,token:n,breakOnTokenText:i},s=ja[e];if(s&&s.handler)return s.handler(o,t,r);throw new a("No function handler for "+e)}parseArguments(e,t){var r,n=null!=(r=t.numOptionalArgs)?r:0,i=t.numArgs+n;if(0===i)return{args:[],optArgs:[]};for(var o=[],s=[],l=0;l<i;l++){var h,m=null==(h=t.argTypes)?void 0:h[l],c=l<n;("primitive"in t&&t.primitive&&null==m||"sqrt"===t.type&&1===l&&null==s[0])&&(m="primitive");var u=this.parseGroupOfType("argument to '"+e+"'",m,c);if(c)s.push(u);else{if(null==u)throw new a("Null argument, please report this as a bug");o.push(u)}}return{args:o,optArgs:s}}parseGroupOfType(e,t,r){switch(t){case"color":return this.parseColorGroup(r);case"size":return this.parseSizeGroup(r);case"url":return this.parseUrlGroup(r);case"math":case"text":return this.parseArgumentGroup(r,t);case"hbox":var n=this.parseArgumentGroup(r,"text");return null!=n?{type:"styling",mode:n.mode,body:[n],style:"text",resetFont:!0}:null;case"raw":var i=this.parseStringGroup(r);return null!=i?{type:"raw",mode:"text",string:i.text}:null;case"primitive":if(r)throw new a("A primitive argument cannot be optional");var o=this.parseGroup(e);if(null==o)throw new a("Expected group as "+e,this.fetch());return o;case"original":case void 0:return this.parseArgumentGroup(r);default:throw new a("Unknown group type as "+e,this.fetch())}}consumeSpaces(){for(;" "===this.fetch().text;)this.consume()}parseStringGroup(e){var t=this.gullet.scanArgument(e);

1if(null==t)return null;for(var r,a="";"EOF"!==(r=this.fetch()).text;)a+=r.text,this.consume();return this.consume(),t.text=a,t}parseRegexGroup(e,t){for(var r,n=this.fetch(),i=n,o="";"EOF"!==(r=this.fetch()).text&&e.test(o+r.text);)o+=(i=r).text,this.consume();if(""===o)throw new a("Invalid "+t+": '"+n.text+"'",n);return n.range(i,o)}parseColorGroup(e){var t=this.parseStringGroup(e);if(null==t)return null;var r=/^(#[a-f0-9]{3,4}|#[a-f0-9]{6}|#[a-f0-9]{8}|[a-f0-9]{6}|[a-z]+)$/i.exec(t.text);if(!r)throw new a("Invalid color: '"+t.text+"'",t);var n=r[0];return/^[0-9a-f]{6}$/i.test(n)&&(n="#"+n),{type:"color-token",mode:this.mode,color:n}}parseSizeGroup(e){var t,r=!1;if(this.gullet.consumeSpaces(),!(t=e||"{"===this.gullet.future().text?this.parseStringGroup(e):this.parseRegexGroup(/^[-+]? *(?:$|\d+|\d+\.\d*|\.\d*) *[a-z]{0,2} *$/,"size")))return null;e||0!==t.text.length||(t.text="0pt",r=!0);var n=/([-+]?) *(\d+(?:\.\d*)?|\.\d+) *([a-z]{2})/.exec(t.text);if(!n)throw new a("Invalid size: '"+t.text+"'",t);var i={number:+(n[1]+n[2]),unit:n[3]};if(!R(i))throw new a("Invalid unit: '"+i.unit+"'",t);return{type:"size",mode:this.mode,value:i,isBlank:r}}parseUrlGroup(e){this.gullet.lexer.setCatcode("%",13),this.gullet.lexer.setCatcode("~",12);var t=this.parseStringGroup(e);if(this.gullet.lexer.setCatcode("%",14),this.gullet.lexer.setCatcode("~",13),null==t)return null;var r=t.text.replace(/\\([#$%&~_^{}])/g,"$1");return{type:"url",mode:this.mode,url:r}}parseArgumentGroup(e,t){var r=this.gullet.scanArgument(e);if(null==r)return null;var a=this.mode;t&&this.switchMode(t),this.gullet.beginGroup();var n=this.parseExpression(!1,"EOF");this.expect("EOF"),this.gullet.endGroup();var i={type:"ordgroup",mode:this.mode,loc:r.loc,body:n};return t&&this.switchMode(a),i}parseGroup(e,t){var r,n=this.fetch(),i=n.text;if("{"===i||"\\begingroup"===i){this.consume();var o="{"===i?"}":"\\endgroup";this.gullet.beginGroup();var s=this.parseExpression(!1,o),l=this.fetch();this.expect(o),this.gullet.endGroup(),r={type:"ordgroup",mode:this.mode,loc:na.range(n,l),body:s,semisimple:"\\begingroup"===i||void 0}}else if(null==(r=this.parseFunction(t,e)||this.parseSymbol())&&"\\"===i[0]&&!Object.prototype.hasOwnProperty.call(on,i)){if(this.settings.throwOnError)throw new a("Undefined control sequence: "+i,n);r=this.formatUnsupportedCmd(i),this.consume()}return r}formLigatures(e){for(var t=e.length-1,r=0;r<t;++r){var a=e[r];if("textord"===a.type){var n=a.text,i=e[r+1];if(i&&"textord"===i.type){if("-"===n&&"-"===i.text){var o=e[r+2];r+1<t&&o&&"textord"===o.type&&"-"===o.text?(e.splice(r,3,{type:"textord",mode:"text",loc:na.range(a,o),text:"---"}),t-=2):(e.splice(r,2,{type:"textord",mode:"text",loc:na.range(a,i),text:"--"}),t-=1)}"'"!==n&&"`"!==n||i.text!==n||(e.splice(r,2,{type:"textord",mode:"text",loc:na.range(a,i),text:n+n}),t-=1)}}}}parseSymbol(){var e=this.fetch(),t=e.text;if(/^\\verb[^a-zA-Z]/.test(t)){this.consume();var r=t.slice(5),n="*"===r.charAt(0);if(n&&(r=r.slice(1)),r.length<2||r.charAt(0)!==r.slice(-1))throw new a("\\verb assertion failed --\n                    please report what input caused this bug");return{type:"verb",mode:"text",body:r=r.slice(1,-1),star:n}}Object.prototype.hasOwnProperty.call(cn,t[0])&&!ee[this.mode][t[0]]&&(this.settings.strict&&"math"===this.mode&&this.settings.reportNonstrict("unicodeTextInMathMode",'Accented Unicode text character "'+t[0]+'" used in math mode',e),t=cn[t[0]]+t.slice(1));var i,o,s=Wa.exec(t);if(s&&("i"===(t=t.substring(0,s.index))?t="ı":"j"===t&&(t="ȷ")),ee[this.mode][t]){this.settings.strict&&"math"===this.mode&&"ÐÞþ".includes(t)&&this.settings.reportNonstrict("unicodeTextInMathMode",'Latin-1/Unicode text character "'+t[0]+'" used in math mode',e);var l=ee[this.mode][t].group,h=na.range(e);o=l,i=or.has(o)?{type:"atom",mode:this.mode,family:l,loc:h,text:t}:{type:l,mode:this.mode,loc:h,text:t}}else{if(!(t.charCodeAt(0)>=128))return null;this.settings.strict&&(A(t.charCodeAt(0))?"math"===this.mode&&this.settings.reportNonstrict("unicodeTextInMathMode",'Unicode text character "'+t[0]+'" used in math mode',e):this.settings.reportNonstrict("unknownSymbol",'Unrecognized Unicode character "'+t[0]+'" ('+t.charCodeAt(0)+")",e)),i={type:"textord",mode:"text",loc:na.range(e),text:t}}if(this.consume(),s)for(var m=0;m<s[0].length;m++){var c=s[0][m];if(!mn[c])throw new a("Unknown accent ' "+c+"'",e);var u=mn[c][this.mode]||mn[c].text;if(!u)throw new a("Accent "+c+" unsupported in "+this.mode+" mode",e);i={type:"accent",mode:this.mode,loc:na.range(e),label:u,isStretchy:!1,isShifty:!0,base:i}}return i}}un.endOfExpression=new Set(["}","\\endgroup","\\end","\\right","&"]);var pn=function(e,t){if(!("string"==typeof e||e instanceof String))throw new TypeError("KaTeX can only parse string typed expression");var r=new un(e,t);delete r.gullet.macros.current["\\df@tag"];var n=r.parse();if(delete r.gullet.macros.current["\\current@color"],delete r.gullet.macros.current["\\color"],r.gullet.macros.get("\\df@tag")){if(!t.displayMode)throw new a("\\tag works only in display equations");n=[{type:"tag",mode:"text",body:n,tag:r.subparse([new ia("\\df@tag")])}]}return n},dn=function(e,t,r){t.textContent="";var a=fn(e,r).toNode();t.appendChild(a)};"undefined"!=typeof document&&"CSS1Compat"!==document.compatMode&&("undefined"!=typeof console&&console.warn("Warning: KaTeX doesn't work in quirks mode. 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1,__defineSymbol:te,__defineFunction:vt,__defineMacro:aa,__domTree:{Span:V,Anchor:G,SymbolNode:X,SvgNode:Y,PathNode:W,LineNode:$}}}}]);