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dr={"́":{text:"\\'",math:"\\acute"},"̀":{text:"\\`",math:"\\grave"},"̈":{text:'\\"',math:"\\ddot"},"̃":{text:"\\~",math:"\\tilde"},"̄":{text:"\\=",math:"\\bar"},"̆":{text:"\\u",math:"\\breve"},"̌":{text:"\\v",math:"\\check"},"̂":{text:"\\^",math:"\\hat"},"̇":{text:"\\.",math:"\\dot"},"̊":{text:"\\r",math:"\\mathring"},"̋":{text:"\\H"}},mr={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",ǡ:"ǡ",å:"å",ǻ:"ǻ",ḃ:"ḃ",ć:"ć",č:"č",ĉ:"ĉ",ċ:"ċ",ď:"ď",ḋ:"ḋ",é:"é",è:"è",ë:"ë",ẽ:"ẽ",ē:"ē",ḗ:"ḗ",ḕ:"ḕ",ĕ:"ĕ",ě:"ě",ê:"ê",ế:"ế",ề:"ề",ễ:"ễ",ė:"ė",ḟ:"ḟ",ǵ:"ǵ",ḡ:"ḡ",ğ:"ğ",ǧ:"ǧ",ĝ:"ĝ",ġ:"ġ",ḧ:"ḧ",ȟ:"ȟ",ĥ:"ĥ",ḣ:"ḣ",í:"í",ì:"ì",ï:"ï",ḯ:"ḯ",ĩ:"ĩ",ī:"ī",ĭ:"ĭ",ǐ:"ǐ",î:"î",ǰ:"ǰ",ĵ:"ĵ",ḱ:"ḱ",ǩ:"ǩ",ĺ:"ĺ",ľ:"ľ",ḿ:"ḿ",ṁ:"ṁ",ń:"ń",ǹ:"ǹ",ñ:"ñ",ň:"ň",ṅ:"ṅ",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",ȯ:"ȯ",ȱ:"ȱ",ő:"ő",ṕ:"ṕ",ṗ:"ṗ",ŕ:"ŕ",ř:"ř",ṙ:"ṙ",ś:"ś",ṥ:"ṥ",š:"š",ṧ:"ṧ",ŝ:"ŝ",ṡ:"ṡ",ẗ:"ẗ",ť:"ť",ṫ:"ṫ",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",ů:"ů",ű:"ű",ṽ:"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",ŷ:"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",Ǡ:"Ǡ",Å:"Å",Ǻ:"Ǻ",Ḃ:"Ḃ",Ć:"Ć",Č:"Č",Ĉ:"Ĉ",Ċ:"Ċ",Ď:"Ď",Ḋ:"Ḋ",É:"É",È:"È",Ë:"Ë",Ẽ:"Ẽ",Ē:"Ē",Ḗ:"Ḗ",Ḕ:"Ḕ",Ĕ:"Ĕ",Ě:"Ě",Ê:"Ê",Ế:"Ế",Ề:"Ề",Ễ:"Ễ",Ė:"Ė",Ḟ:"Ḟ",Ǵ:"Ǵ",Ḡ:"Ḡ",Ğ:"Ğ",Ǧ:"Ǧ",Ĝ:"Ĝ",Ġ:"Ġ",Ḧ:"Ḧ",Ȟ:"Ȟ",Ĥ:"Ĥ",Ḣ:"Ḣ",Í:"Í",Ì:"Ì",Ï:"Ï",Ḯ:"Ḯ",Ĩ:"Ĩ",Ī:"Ī",Ĭ:"Ĭ",Ǐ:"Ǐ",Î:"Î",İ:"İ",Ĵ:"Ĵ",Ḱ:"Ḱ",Ǩ:"Ǩ",Ĺ:"Ĺ",Ľ:"Ľ",Ḿ:"Ḿ",Ṁ:"Ṁ",Ń:"Ń",Ǹ:"Ǹ",Ñ:"Ñ",Ň:"Ň",Ṅ:"Ṅ",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",Ȯ:"Ȯ",Ȱ:"Ȱ",Ő:"Ő",Ṕ:"Ṕ",Ṗ:"Ṗ",Ŕ:"Ŕ",Ř:"Ř",Ṙ:"Ṙ",Ś:"Ś",Ṥ:"Ṥ",Š:"Š",Ṧ:"Ṧ",Ŝ:"Ŝ",Ṡ:"Ṡ",Ť:"Ť",Ṫ:"Ṫ",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",Ů:"Ů",Ű:"Ű",Ṽ:"Ṽ",Ẃ:"Ẃ",Ẁ:"Ẁ",Ẅ:"Ẅ",Ŵ:"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",Ż:"Ż",ά:"ά",ὰ:"ὰ",ᾱ:"ᾱ",ᾰ:"ᾰ",έ:"έ",ὲ:"ὲ",ή:"ή",ὴ:"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",ῢ:"ῢ",ῡ:"ῡ",ῠ:"ῠ",ώ:"ώ",ὼ:"ὼ",Ύ:"Ύ",Ὺ:"Ὺ",Ϋ:"Ϋ",Ῡ:"Ῡ",Ῠ:"Ῠ",Ώ:"Ώ",Ὼ:"Ὼ"};class vr{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 pr(e,t,this.mode),this.settings=t,this.leftrightDepth=0}expect(e,t){if(void 0===t&&(t=!0),this.fetch().text!==e)throw new s(`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.gullet.beginGroup(),this.settings.colorIsTextColor&&this.gullet.macros.set("\\color","\\textcolor");const e=this.parseExpression(!1);return this.expect("EOF"),this.gullet.endGroup(),e}parseExpression(e,t){const n=[];for(;;){"math"===this.mode&&this.consumeSpaces();const r=this.fetch();if(-1!==vr.endOfExpression.indexOf(r.text))break;if(t&&r.text===t)break;if(e&&Qn[r.text]&&Qn[r.text].infix)break;const o=this.parseAtom(t);if(!o)break;n.push(o)}return"text"===this.mode&&this.formLigatures(n),this.handleInfixNodes(n)}handleInfixNodes(e){let t,n=-1;for(let r=0;r<e.length;r++){const o=He(e[r],"infix");if(o){if(-1!==n)throw new s("only one infix operator per group",o.token);n=r,t=o.replaceWith}}if(-1!==n&&t){let r,o;const i=e.slice(0,n),a=e.slice(n+1);let l;return r=1===i.length&&"ordgroup"===i[0].type?i[0]:{type:"ordgroup",mode:this.mode,body:i},o=1===a.length&&"ordgroup"===a[0].type?a[0]:{type:"ordgroup",mode:this.mode,body:a},l="\\\\abovefrac"===t?this.callFunction(t,[r,e[n],o],[]):this.callFunction(t,[r,o],[]),[l]}return e}handleSupSubscript(e){const t=this.fetch(),n=t.text;this.consume();const r=this.parseGroup(e,!1,vr.SUPSUB_GREEDINESS,void 0,void 0,!0);if(!r)throw new s("Expected group after '"+n+"'",t);return r}formatUnsupportedCmd(e){const t=[];for(let n=0;n<e.length;n++)t.push({type:"textord",mode:"text",text:e[n]});const n={type:"text",mode:this.mode,body:t};return{type:"color",mode:this.mode,color:this.settings.errorColor,body:[n]}}parseAtom(e){const t=this.parseGroup("atom",!1,null,e);if("text"===this.mode)return t;let n,r;for(;;){this.consumeSpaces();const e=this.fetch();if("\\limits"===e.text||"\\nolimits"===e.text){let n=He(t,"op");if(n){const t="\\limits"===e.text;n.limits=t,n.alwaysHandleSupSub=!0}else{if(n=He(t,"operatorname"),!n||!n.alwaysHandleSupSub)throw new s("Limit controls must follow a math operator",e);{const t="\\limits"===e.text;n.limits=t}}this.consume()}else if("^"===e.text){if(n)throw new s("Double superscript",e);n=this.handleSupSubscript("superscript")}else if("_"===e.text){if(r)throw new s("Double subscript",e);r=this.handleSupSubscript("subscript")}else{if("'"!==e.text)break;{if(n)throw new s("Double superscript",e);const t={type:"textord",mode:this.mode,text:"\\prime"},r=[t];for(this.consume();"'"===this.fetch().text;)r.push(t),this.consume();"^"===this.fetch().text&&r.push(this.handleSupSubscript("superscript")),n={type:"ordgroup",mode:this.mode,body:r}}}}return n||r?{type:"supsub",mode:this.mode,base:t,sup:n,sub:r}:t}parseFunction(e,t,n){const r=this.fetch(),o=r.text,i=Qn[o];if(!i)return null;if(this.consume(),null!=n&&i.greediness<=n)throw new s("Got function '"+o+"' with no arguments"+(t?" as "+t:""),r);if("text"===this.mode&&!i.allowedInText)throw new s("Can't use function '"+o+"' in text mode",r);if("math"===this.mode&&!1===i.allowedInMath)throw new s("Can't use function '"+o+"' in math mode",r);const a=this.parseArguments(o,i),l=a.args,c=a.optArgs;return this.callFunction(o,l,c,r,e)}callFunction(e,t,n,r,o){const i={funcName:e,parser:this,token:r,breakOnTokenText:o},a=Qn[e];if(a&&a.handler)return a.handler(i,t,n);throw new s("No function handler for "+e)}parseArguments(e,t){const n=t.numArgs+t.numOptionalArgs;if(0===n)return{args:[],optArgs:[]};const r=t.greediness,o=[],i=[];for(let a=0;a<n;a++){const n=t.argTypes&&t.argTypes[a],l=a<t.numOptionalArgs,c=a>0&&!l||0===a&&!l&&"math"===this.mode,u=this.parseGroupOfType(`argument to '${e}'`,n,l,r,c);if(!u){if(l){i.push(null);continue}throw new s(`Expected group after '${e}'`,this.fetch())}(l?i:o).push(u)}return{args:o,optArgs:i}}parseGroupOfType(e,t,n,r,o){switch(t){case"color":return o&&this.consumeSpaces(),this.parseColorGroup(n);case"size":return o&&this.consumeSpaces(),this.parseSizeGroup(n);case"url":return this.parseUrlGroup(n,o);case"math":case"text":return this.parseGroup(e,n,r,void 0,t,o);case"hbox":{const t=this.parseGroup(e,n,r,void 0,"text",o);return t?{type:"styling",mode:t.mode,body:[t],style:"text"}:t}case"raw":{if(o&&this.consumeSpaces(),n&&"{"===this.fetch().text)return null;const e=this.parseStringGroup("raw",n,!0);if(e)return{type:"raw",mode:"text",string:e.text};throw new s("Expected raw group",this.fetch())}case"original":case null:case void 0:return this.parseGroup(e,n,r,void 0,void 0,o);default:throw new s("Unknown group type as "+e,this.fetch())}}consumeSpaces(){for(;" "===this.fetch().text;)this.consume()}parseStringGroup(e,t,n){const r=t?"[":"{",o=t?"]":"}",i=this.fetch();if(i.text!==r){if(t)return null;if(n&&"EOF"!==i.text&&/[^{}[\]]/.test(i.text))return this.consume(),i}const a=this.mode;this.mode="text",this.expect(r);let l="";const c=this.fetch();let u,f=0,h=c;for(;(u=this.fetch()).text!==o||n&&f>0;){switch(u.text){case"EOF":throw new s("Unexpected end of input in "+e,c.range(h,l));case r:f++;break;case o:f--}h=u,l+=h.text,this.consume()}return this.expect(o),this.mode=a,c.range(h,l)}parseRegexGroup(e,t){const n=this.mode;this.mode="text";const r=this.fetch();let o,i=r,a="";for(;"EOF"!==(o=this.fetch()).text&&e.test(a+o.text);)i=o,a+=i.text,this.consume();if(""===a)throw new s("Invalid "+t+": '"+r.text+"'",r);return this.mode=n,r.range(i,a)}parseColorGroup(e){const t=this.parseStringGroup("color",e);if(!t)return null;const n=/^(#[a-f0-9]{3}|#?[a-f0-9]{6}|[a-z]+)$/i.exec(t.text);if(!n)throw new s("Invalid color: '"+t.text+"'",t);let r=n[0];return/^[0-9a-f]{6}$/i.test(r)&&(r="#"+r),{type:"color-token",mode:this.mode,color:r}}parseSizeGroup(e){let t,n=!1;if(t=e||"{"===this.fetch().text?this.parseStringGroup("size",e):this.parseRegexGroup(/^[-+]? *(?:$|\d+|\d+\.\d*|\.\d*) *[a-z]{0,2} *$/,"size"),!t)return null;e||0!==t.text.length||(t.text="0pt",n=!0);const r=/([-+]?) *(\d+(?:\.\d*)?|\.\d+) *([a-z]{2})/.exec(t.text);if(!r)throw new s("Invalid size: '"+t.text+"'",t);const o={number:+(r[1]+r[2]),unit:r[3]};if(!xe(o))throw new s("Invalid unit: '"+o.unit+"'",t);return{type:"size",mode:this.mode,value:o,isBlank:n}}parseUrlGroup(e,t){this.gullet.lexer.setCatcode("%",13);const n=this.parseStringGroup("url",e,!0);if(this.gullet.lexer.setCatcode("%",14),!n)return null;const r=n.text.replace(/\\([#$%&~_^{}])/g,"$1");return{type:"url",mode:this.mode,url:r}}parseGroup(e,t,n,r,o,i){const a=this.mode;o&&this.switchMode(o),i&&this.consumeSpaces();const c=this.fetch(),u=c.text;let f;if(t?"["===u:"{"===u||"\\begingroup"===u){this.consume();const e=vr.endOfGroup[u];this.gullet.beginGroup();const t=this.parseExpression(!1,e),n=this.fetch();this.expect(e),this.gullet.endGroup(),f={type:"ordgroup",mode:this.mode,loc:l.range(c,n),body:t,semisimple:"\\begingroup"===u||void 0}}else if(t)f=null;else if(f=this.parseFunction(r,e,n)||this.parseSymbol(),null==f&&"\\"===u[0]&&!hr.hasOwnProperty(u)){if(this.settings.throwOnError)throw new s("Undefined control sequence: "+u,c);f=this.formatUnsupportedCmd(u),this.consume()}return o&&this.switchMode(a),f}formLigatures(e){let t=e.length-1;for(let n=0;n<t;++n){const r=e[n],o=r.text;"-"===o&&"-"===e[n+1].text&&(n+1<t&&"-"===e[n+2].text?(e.splice(n,3,{type:"textord",mode:"text",loc:l.range(r,e[n+2]),text:"---"}),t-=2):(e.splice(n,2,{type:"textord",mode:"text",loc:l.range(r,e[n+1]),text:"--"}),t-=1)),"'"!==o&&"`"!==o||e[n+1].text!==o||(e.splice(n,2,{type:"textord",mode:"text",loc:l.range(r,e[n+1]),text:o+o}),t-=1)}}parseSymbol(){const e=this.fetch();let t=e.text;if(/^\\verb[^a-zA-Z]/.test(t)){this.consume();let e=t.slice(5);const n="*"===e.charAt(0);if(n&&(e=e.slice(1)),e.length<2||e.charAt(0)!==e.slice(-1))throw new s("\\verb assertion failed --\n please report what input caused this bug");return e=e.slice(1,-1),{type:"verb",mode:"text",body:e,star:n}}mr.hasOwnProperty(t[0])&&!$[this.mode][t[0]]&&(this.settings.strict&&"math"===this.mode&&this.settings.reportNonstrict("unicodeTextInMathMode",`Accented Unicode text character "${t[0]}" used in math mode`,e),t=mr[t[0]]+t.substr(1));const n=tr.exec(t);let r;if(n&&(t=t.substring(0,n.index),"i"===t?t="ı":"j"===t&&(t="ȷ")),$[this.mode][t]){this.settings.strict&&"math"===this.mode&&"ÇÐÞçþ".indexOf(t)>=0&&this.settings.reportNonstrict("unicodeTextInMathMode",`Latin-1/Unicode text character "${t[0]}" used in math mode`,e);const n=$[this.mode][t].group,o=l.range(e);let i;if(K.hasOwnProperty(n)){const e=n;i={type:"atom",mode:this.mode,family:e,loc:o,text:t}}else i={type:n,mode:this.mode,loc:o,text:t};r=i}else{if(!(t.charCodeAt(0)>=128))return null;this.settings.strict&&(T(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)),r={type:"textord",mode:"text",loc:l.range(e),text:t}}if(this.consume(),n)for(let t=0;t<n[0].length;t++){const o=n[0][t];if(!dr[o])throw new s(`Unknown accent ' ${o}'`,e);const i=dr[o][this.mode];if(!i)throw new s(`Accent ${o} unsupported in ${this.mode} mode`,e);r={type:"accent",mode:this.mode,loc:l.range(e),label:i,isStretchy:!1,isShifty:!0,base:r}}return r}}vr.endOfExpression=["}","\\endgroup","\\end","\\right","&"],vr.endOfGroup={"[":"]","{":"}","\\begingroup":"\\endgroup"},vr.SUPSUB_GREEDINESS=1;const yr=function(e,t){if(!("string"==typeof e||e instanceof String))throw new TypeError("KaTeX can only parse string typed expression");const n=new vr(e,t);delete n.gullet.macros.current["\\df@tag"];let r=n.parse();if(n.gullet.macros.get("\\df@tag")){if(!t.displayMode)throw new s("\\tag works only in display equations");n.gullet.feed("\\df@tag"),r=[{type:"tag",mode:"text",body:r,tag:n.parse()}]}return r};let gr=function(e,t,n){t.textContent="";const r=wr(e,n).toNode();t.appendChild(r)};"undefined"!=typeof document&&"CSS1Compat"!==document.compatMode&&("undefined"!=typeof console&&console.warn("Warning: KaTeX doesn't work in quirks mode. 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e}}),i.helper.regexes={asteriskDashAndColon:/([*_:~])/g},i.helper.emojis={"+1":"👍","-1":"👎",100:"💯",1234:"🔢","1st_place_medal":"🥇","2nd_place_medal":"🥈","3rd_place_medal":"🥉","8ball":"🎱",a:"🅰️",ab:"🆎",abc:"🔤",abcd:"🔡",accept:"🉑",aerial_tramway:"🚡",airplane:"✈️",alarm_clock:"⏰",alembic:"⚗️",alien:"👽",ambulance:"🚑",amphora:"🏺",anchor:"⚓️",angel:"👼",anger:"💢",angry:"😠",anguished:"😧",ant:"🐜",apple:"🍎",aquarius:"♒️",aries:"♈️",arrow_backward:"◀️",arrow_double_down:"⏬",arrow_double_up:"⏫",arrow_down:"⬇️",arrow_down_small:"🔽",arrow_forward:"▶️",arrow_heading_down:"⤵️",arrow_heading_up:"⤴️",arrow_left:"⬅️",arrow_lower_left:"↙️",arrow_lower_right:"↘️",arrow_right:"➡️",arrow_right_hook:"↪️",arrow_up:"⬆️",arrow_up_down:"↕️",arrow_up_small:"🔼",arrow_upper_left:"↖️",arrow_upper_right:"↗️",arrows_clockwise:"🔃",arrows_counterclockwise:"🔄",art:"🎨",articulated_lorry:"🚛",artificial_satellite:"🛰",astonished:"😲",athletic_shoe:"👟",atm:"🏧",atom_symbol:"⚛️",avocado:"🥑",b:"🅱️",baby:"👶",baby_bottle:"🍼",baby_chick:"🐤",baby_symbol:"🚼",back:"🔙",bacon:"🥓",badminton:"🏸",baggage_claim:"🛄",baguette_bread:"🥖",balance_scale:"⚖️",balloon:"🎈",ballot_box:"🗳",ballot_box_with_check:"☑️",bamboo:"🎍",banana:"🍌",bangbang:"‼️",bank:"🏦",bar_chart:"📊",barber:"💈",baseball:"⚾️",basketball:"🏀",basketball_man:"⛹️",basketball_woman:"⛹️&zwj;♀️",bat:"🦇",bath:"🛀",bathtub:"🛁",battery:"🔋",beach_umbrella:"🏖",bear:"🐻",bed:"🛏",bee:"🐝",beer:"🍺",beers:"🍻",beetle:"🐞",beginner:"🔰",bell:"🔔",bellhop_bell:"🛎",bento:"🍱",biking_man:"🚴",bike:"🚲",biking_woman:"🚴&zwj;♀️",bikini:"👙",biohazard:"☣️",bird:"🐦",birthday:"🎂",black_circle:"⚫️",black_flag:"🏴",black_heart:"🖤",black_joker:"🃏",black_large_square:"⬛️",black_medium_small_square:"◾️",black_medium_square:"◼️",black_nib:"✒️",black_small_square:"▪️",black_square_button:"🔲",blonde_man:"👱",blonde_woman:"👱&zwj;♀️",blossom:"🌼",blowfish:"🐡",blue_book:"📘",blue_car:"🚙",blue_heart:"💙",blush:"😊",boar:"🐗",boat:"⛵️",bomb:"💣",book:"📖",bookmark:"🔖",bookmark_tabs:"📑",books:"📚",boom:"💥",boot:"👢",bouquet:"💐",bowing_man:"🙇",bow_and_arrow:"🏹",bowing_woman:"🙇&zwj;♀️",bowling:"🎳",boxing_glove:"🥊",boy:"👦",bread:"🍞",bride_with_veil:"👰",bridge_at_night:"🌉",briefcase:"💼",broken_heart:"💔",bug:"🐛",building_construction:"🏗",bulb:"💡",bullettrain_front:"🚅",bullettrain_side:"🚄",burrito:"🌯",bus:"🚌",business_suit_levitating:"🕴",busstop:"🚏",bust_in_silhouette:"👤",busts_in_silhouette:"👥",butterfly:"🦋",cactus:"🌵",cake:"🍰",calendar:"📆",call_me_hand:"🤙",calling:"📲",camel:"🐫",camera:"📷",camera_flash:"📸",camping:"🏕",cancer:"♋️",candle:"🕯",candy:"🍬",canoe:"🛶",capital_abcd:"🔠",capricorn:"♑️",car:"🚗",card_file_box:"🗃",card_index:"📇",card_index_dividers:"🗂",carousel_horse:"🎠",carrot:"🥕",cat:"🐱",cat2:"🐈",cd:"💿",chains:"⛓",champagne:"🍾",chart:"💹",chart_with_downwards_trend:"📉",chart_with_upwards_trend:"📈",checkered_flag:"🏁",cheese:"🧀",cherries:"🍒",cherry_blossom:"🌸",chestnut:"🌰",chicken:"🐔",children_crossing:"🚸",chipmunk:"🐿",chocolate_bar:"🍫",christmas_tree:"🎄",church:"⛪️",cinema:"🎦",circus_tent:"🎪",city_sunrise:"🌇",city_sunset:"🌆",cityscape:"🏙",cl:"🆑",clamp:"🗜",clap:"👏",clapper:"🎬",classical_building:"🏛",clinking_glasses:"🥂",clipboard:"📋",clock1:"🕐",clock10:"🕙",clock1030:"🕥",clock11:"🕚",clock1130:"🕦",clock12:"🕛",clock1230:"🕧",clock130:"🕜",clock2:"🕑",clock230:"🕝",clock3:"🕒",clock330:"🕞",clock4:"🕓",clock430:"🕟",clock5:"🕔",clock530:"🕠",clock6:"🕕",clock630:"🕡",clock7:"🕖",clock730:"🕢",clock8:"🕗",clock830:"🕣",clock9:"🕘",clock930:"🕤",closed_book:"📕",closed_lock_with_key:"🔐",closed_umbrella:"🌂",cloud:"☁️",cloud_with_lightning:"🌩",cloud_with_lightning_and_rain:"⛈",cloud_with_rain:"🌧",cloud_with_snow:"🌨",clown_face:"🤡",clubs:"♣️",cocktail:"🍸",coffee:"☕️",coffin:"⚰️",cold_sweat:"😰",comet:"☄️",computer:"💻",computer_mouse:"🖱",confetti_ball:"🎊",confounded:"😖",confused:"😕",congratulations:"㊗️",construction:"🚧",construction_worker_man:"👷",construction_worker_woman:"👷&zwj;♀️",control_knobs:"🎛",convenience_store:"🏪",cookie:"🍪",cool:"🆒",policeman:"👮",copyright:"©️",corn:"🌽",couch_and_lamp:"🛋",couple:"👫",couple_with_heart_woman_man:"💑",couple_with_heart_man_man:"👨&zwj;❤️&zwj;👨",couple_with_heart_woman_woman:"👩&zwj;❤️&zwj;👩",couplekiss_man_man:"👨&zwj;❤️&zwj;💋&zwj;👨",couplekiss_man_woman:"💏",couplekiss_woman_woman:"👩&zwj;❤️&zwj;💋&zwj;👩",cow:"🐮",cow2:"🐄",cowboy_hat_face:"🤠",crab:"🦀",crayon:"🖍",credit_card:"💳",crescent_moon:"🌙",cricket:"🏏",crocodile:"🐊",croissant:"🥐",crossed_fingers:"🤞",crossed_flags:"🎌",crossed_swords:"⚔️",crown:"👑",cry:"😢",crying_cat_face:"😿",crystal_ball:"🔮",cucumber:"🥒",cupid:"💘",curly_loop:"➰",currency_exchange:"💱",curry:"🍛",custard:"🍮",customs:"🛃",cyclone:"🌀",dagger:"🗡",dancer:"💃",dancing_women:"👯",dancing_men:"👯&zwj;♂️",dango:"🍡",dark_sunglasses:"🕶",dart:"🎯",dash:"💨",date:"📅",deciduous_tree:"🌳",deer:"🦌",department_store:"🏬",derelict_house:"🏚",desert:"🏜",desert_island:"🏝",desktop_computer:"🖥",male_detective:"🕵️",diamond_shape_with_a_dot_inside:"💠",diamonds:"♦️",disappointed:"😞",disappointed_relieved:"😥",dizzy:"💫",dizzy_face:"😵",do_not_litter:"🚯",dog:"🐶",dog2:"🐕",dollar:"💵",dolls:"🎎",dolphin:"🐬",door:"🚪",doughnut:"🍩",dove:"🕊",dragon:"🐉",dragon_face:"🐲",dress:"👗",dromedary_camel:"🐪",drooling_face:"🤤",droplet:"💧",drum:"🥁",duck:"🦆",dvd:"📀","e-mail":"📧",eagle:"🦅",ear:"👂",ear_of_rice:"🌾",earth_africa:"🌍",earth_americas:"🌎",earth_asia:"🌏",egg:"🥚",eggplant:"🍆",eight_pointed_black_star:"✴️",eight_spoked_asterisk:"✳️",electric_plug:"🔌",elephant:"🐘",email:"✉️",end:"🔚",envelope_with_arrow:"📩",euro:"💶",european_castle:"🏰",european_post_office:"🏤",evergreen_tree:"🌲",exclamation:"❗️",expressionless:"😑",eye:"👁",eye_speech_bubble:"👁&zwj;🗨",eyeglasses:"👓",eyes:"👀",face_with_head_bandage:"🤕",face_with_thermometer:"🤒",fist_oncoming:"👊",factory:"🏭",fallen_leaf:"🍂",family_man_woman_boy:"👪",family_man_boy:"👨&zwj;👦",family_man_boy_boy:"👨&zwj;👦&zwj;👦",family_man_girl:"👨&zwj;👧",family_man_girl_boy:"👨&zwj;👧&zwj;👦",family_man_girl_girl:"👨&zwj;👧&zwj;👧",family_man_man_boy:"👨&zwj;👨&zwj;👦",family_man_man_boy_boy:"👨&zwj;👨&zwj;👦&zwj;👦",family_man_man_girl:"👨&zwj;👨&zwj;👧",family_man_man_girl_boy:"👨&zwj;👨&zwj;👧&zwj;👦",family_man_man_girl_girl:"👨&zwj;👨&zwj;👧&zwj;👧",family_man_woman_boy_boy:"👨&zwj;👩&zwj;👦&zwj;👦",family_man_woman_girl:"👨&zwj;👩&zwj;👧",family_man_woman_girl_boy:"👨&zwj;👩&zwj;👧&zwj;👦",family_man_woman_girl_girl:"👨&zwj;👩&zwj;👧&zwj;👧",family_woman_boy:"👩&zwj;👦",family_woman_boy_boy:"👩&zwj;👦&zwj;👦",family_woman_girl:"👩&zwj;👧",family_woman_girl_boy:"👩&zwj;👧&zwj;👦",family_woman_girl_girl:"👩&zwj;👧&zwj;👧",family_woman_woman_boy:"👩&zwj;👩&zwj;👦",family_woman_woman_boy_boy:"👩&zwj;👩&zwj;👦&zwj;👦",family_woman_woman_girl:"👩&zwj;👩&zwj;👧",family_woman_woman_girl_boy:"👩&zwj;👩&zwj;👧&zwj;👦",family_woman_woman_girl_girl:"👩&zwj;👩&zwj;👧&zwj;👧",fast_forward:"⏩",fax:"📠",fearful:"😨",feet:"🐾",female_detective:"🕵️&zwj;♀️",ferris_wheel:"🎡",ferry:"⛴",field_hockey:"🏑",file_cabinet:"🗄",file_folder:"📁",film_projector:"📽",film_strip:"🎞",fire:"🔥",fire_engine:"🚒",fireworks:"🎆",first_quarter_moon:"🌓",first_quarter_moon_with_face:"🌛",fish:"🐟",fish_cake:"🍥",fishing_pole_and_fish:"🎣",fist_raised:"✊",fist_left:"🤛",fist_right:"🤜",flags:"🎏",flashlight:"🔦",fleur_de_lis:"⚜️",flight_arrival:"🛬",flight_departure:"🛫",floppy_disk:"💾",flower_playing_cards:"🎴",flushed:"😳",fog:"🌫",foggy:"🌁",football:"🏈",footprints:"👣",fork_and_knife:"🍴",fountain:"⛲️",fountain_pen:"🖋",four_leaf_clover:"🍀",fox_face:"🦊",framed_picture:"🖼",free:"🆓",fried_egg:"🍳",fried_shrimp:"🍤",fries:"🍟",frog:"🐸",frowning:"😦",frowning_face:"☹️",frowning_man:"🙍&zwj;♂️",frowning_woman:"🙍",middle_finger:"🖕",fuelpump:"⛽️",full_moon:"🌕",full_moon_with_face:"🌝",funeral_urn:"⚱️",game_die:"🎲",gear:"⚙️",gem:"💎",gemini:"♊️",ghost:"👻",gift:"🎁",gift_heart:"💝",girl:"👧",globe_with_meridians:"🌐",goal_net:"🥅",goat:"🐐",golf:"⛳️",golfing_man:"🏌️",golfing_woman:"🏌️&zwj;♀️",gorilla:"🦍",grapes:"🍇",green_apple:"🍏",green_book:"📗",green_heart:"💚",green_salad:"🥗",grey_exclamation:"❕",grey_question:"❔",grimacing:"😬",grin:"😁",grinning:"😀",guardsman:"💂",guardswoman:"💂&zwj;♀️",guitar:"🎸",gun:"🔫",haircut_woman:"💇",haircut_man:"💇&zwj;♂️",hamburger:"🍔",hammer:"🔨",hammer_and_pick:"⚒",hammer_and_wrench:"🛠",hamster:"🐹",hand:"✋",handbag:"👜",handshake:"🤝",hankey:"💩",hatched_chick:"🐥",hatching_chick:"🐣",headphones:"🎧",hear_no_evil:"🙉",heart:"❤️",heart_decoration:"💟",heart_eyes:"😍",heart_eyes_cat:"😻",heartbeat:"💓",heartpulse:"💗",hearts:"♥️",heavy_check_mark:"✔️",heavy_division_sign:"➗",heavy_dollar_sign:"💲",heavy_heart_exclamation:"❣️",heavy_minus_sign:"➖",heavy_multiplication_x:"✖️",heavy_plus_sign:"➕",helicopter:"🚁",herb:"🌿",hibiscus:"🌺",high_brightness:"🔆",high_heel:"👠",hocho:"🔪",hole:"🕳",honey_pot:"🍯",horse:"🐴",horse_racing:"🏇",hospital:"🏥",hot_pepper:"🌶",hotdog:"🌭",hotel:"🏨",hotsprings:"♨️",hourglass:"⌛️",hourglass_flowing_sand:"⏳",house:"🏠",house_with_garden:"🏡",houses:"🏘",hugs:"🤗",hushed:"😯",ice_cream:"🍨",ice_hockey:"🏒",ice_skate:"⛸",icecream:"🍦",id:"🆔",ideograph_advantage:"🉐",imp:"👿",inbox_tray:"📥",incoming_envelope:"📨",tipping_hand_woman:"💁",information_source:"ℹ️",innocent:"😇",interrobang:"⁉️",iphone:"📱",izakaya_lantern:"🏮",jack_o_lantern:"🎃",japan:"🗾",japanese_castle:"🏯",japanese_goblin:"👺",japanese_ogre:"👹",jeans:"👖",joy:"😂",joy_cat:"😹",joystick:"🕹",kaaba:"🕋",key:"🔑",keyboard:"⌨️",keycap_ten:"🔟",kick_scooter:"🛴",kimono:"👘",kiss:"💋",kissing:"😗",kissing_cat:"😽",kissing_closed_eyes:"😚",kissing_heart:"😘",kissing_smiling_eyes:"😙",kiwi_fruit:"🥝",koala:"🐨",koko:"🈁",label:"🏷",large_blue_circle:"🔵",large_blue_diamond:"🔷",large_orange_diamond:"🔶",last_quarter_moon:"🌗",last_quarter_moon_with_face:"🌜",latin_cross:"✝️",laughing:"😆",leaves:"🍃",ledger:"📒",left_luggage:"🛅",left_right_arrow:"↔️",leftwards_arrow_with_hook:"↩️",lemon:"🍋",leo:"♌️",leopard:"🐆",level_slider:"🎚",libra:"♎️",light_rail:"🚈",link:"🔗",lion:"🦁",lips:"👄",lipstick:"💄",lizard:"🦎",lock:"🔒",lock_with_ink_pen:"🔏",lollipop:"🍭",loop:"➿",loud_sound:"🔊",loudspeaker:"📢",love_hotel:"🏩",love_letter:"💌",low_brightness:"🔅",lying_face:"🤥",m:"Ⓜ️",mag:"🔍",mag_right:"🔎",mahjong:"🀄️",mailbox:"📫",mailbox_closed:"📪",mailbox_with_mail:"📬",mailbox_with_no_mail:"📭",man:"👨",man_art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1.4-4 3.2-4H320v-68.8c0-1.8 1.8-3.2 4-3.2h48c2.2 0 4 1.4 4 3.2V331h68.7c1.9 0 3.3 1.8 3.3 4v48c0 2.2-1.4 4-3.2 4H376v68.7c0 1.9-1.8 3.3-4 3.3h-48c-2.2 0-4-1.4-4-3.2V387h-68.8c-1.8 0-3.2-1.8-3.2-4v-48z"],[e,"M383.5 675l61.3-74.8c4.3-5.2.7-13.1-5.9-13.1h-50.8c-2.3 0-4.4 1-5.9 2.9l-34 41.6-34-41.6a7.69 7.69 0 0 0-5.9-2.9h-50.9c-6.6 0-10.2 7.9-5.9 13.1l61.2 74.9-62.7 76.8c-4.4 5.2-.8 13.1 5.8 13.1h50.8c2.3 0 4.4-1 5.9-2.9l35.5-43.5 35.5 43.5c1.4 1.8 3.7 2.9 5.9 2.9h50.8c6.6 0 10.2-7.9 6-13.2L383.5 675zM251.2 387H320v68.8c0 1.8 1.8 3.2 4 3.2h48c2.2 0 4-1.4 4-3.3V387h68.8c1.8 0 3.2-1.8 3.2-4v-48c0-2.2-1.4-4-3.3-4H376v-68.8c0-1.8-1.8-3.2-4-3.2h-48c-2.2 0-4 1.4-4 3.2V331h-68.8c-1.8 0-3.2 1.8-3.2 4v48c0 2.2 1.4 4 3.2 4zm328 369h193.6c1.8 0 3.2-1.8 3.2-4v-48c0-2.2-1.4-4-3.3-4H579.2c-1.8 0-3.2 1.8-3.2 4v48c0 2.2 1.4 4 3.2 4zm0-104h193.6c1.8 0 3.2-1.8 3.2-4v-48c0-2.2-1.4-4-3.3-4H579.2c-1.8 0-3.2 1.8-3.2 4v48c0 2.2 1.4 4 3.2 4zm0-265h193.6c1.8 0 3.2-1.8 3.2-4v-48c0-2.2-1.4-4-3.3-4H579.2c-1.8 0-3.2 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t=[],n=0;n<e.length;n++)t.push({type:"textord",mode:"text",text:e[n]});var r={type:"text",mode:this.mode,body:t};return{type:"color",mode:this.mode,color:this.settings.errorColor,body:[r]}},t.parseAtom=function(e){var t,n,r=this.parseGroup("atom",!1,null,e);if("text"===this.mode)return r;for(;;){this.consumeSpaces();var o=this.fetch();if("\\limits"===o.text||"\\nolimits"===o.text){var i=Fe(r,"op");if(i){var l="\\limits"===o.text;i.limits=l,i.alwaysHandleSupSub=!0}else{if(!(i=Fe(r,"operatorname"))||!i.alwaysHandleSupSub)throw new a("Limit controls must follow a math operator",o);var c="\\limits"===o.text;i.limits=c}this.consume()}else if("^"===o.text){if(t)throw new a("Double superscript",o);t=this.handleSupSubscript("superscript")}else if("_"===o.text){if(n)throw new a("Double subscript",o);n=this.handleSupSubscript("subscript")}else{if("'"!==o.text)break;if(t)throw new a("Double superscript",o);var 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this.isValid()?this.toISOString():null},un.toString=function(){return this.clone().locale("en").format("ddd MMM DD YYYY HH:mm:ss [GMT]ZZ")},un.unix=function(){return Math.floor(this.valueOf()/1e3)},un.valueOf=function(){return this._d.valueOf()-6e4*(this._offset||0)},un.creationData=function(){return{input:this._i,format:this._f,locale:this._locale,isUTC:this._isUTC,strict:this._strict}},un.year=be,un.isLeapYear=function(){return ye(this.year())},un.weekYear=function(e){return tn.call(this,e,this.week(),this.weekday(),this.localeData()._week.dow,this.localeData()._week.doy)},un.isoWeekYear=function(e){return tn.call(this,e,this.isoWeek(),this.isoWeekday(),1,4)},un.quarter=un.quarters=function(e){return null==e?Math.ceil((this.month()+1)/3):this.month(3*(e-1)+this.month()%3)},un.month=ze,un.daysInMonth=function(){return ke(this.year(),this.month())},un.week=un.weeks=function(e){var t=this.localeData().week(this);return 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